TSTP Solution File: SWC355+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC355+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 : n007.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 18:40:40 EDT 2022

% Result   : Theorem 0.19s 0.58s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   70 (   9 unt;   0 def)
%            Number of atoms       :  324 (  64 equ)
%            Maximal formula atoms :   24 (   4 avg)
%            Number of connectives :  368 ( 114   ~; 102   |; 121   &)
%                                         (   7 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   6 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :  105 (  58   !;  47   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f881,plain,
    $false,
    inference(avatar_sat_refutation,[],[f234,f239,f240,f243,f354,f880]) ).

fof(f880,plain,
    ( spl11_2
    | ~ spl11_3
    | ~ spl11_6 ),
    inference(avatar_contradiction_clause,[],[f879]) ).

fof(f879,plain,
    ( $false
    | spl11_2
    | ~ spl11_3
    | ~ spl11_6 ),
    inference(subsumption_resolution,[],[f878,f228]) ).

fof(f228,plain,
    ( ~ segmentP(sK7,sK6)
    | spl11_2 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f226,plain,
    ( spl11_2
  <=> segmentP(sK7,sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).

fof(f878,plain,
    ( segmentP(sK7,sK6)
    | ~ spl11_3
    | ~ spl11_6 ),
    inference(subsumption_resolution,[],[f875,f332]) ).

fof(f332,plain,
    ( ssList(cons(sK10,nil))
    | ~ spl11_6 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f331,plain,
    ( spl11_6
  <=> ssList(cons(sK10,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).

fof(f875,plain,
    ( ~ ssList(cons(sK10,nil))
    | segmentP(sK7,sK6)
    | ~ spl11_3 ),
    inference(superposition,[],[f514,f233]) ).

fof(f233,plain,
    ( app(sK6,cons(sK10,nil)) = sK7
    | ~ spl11_3 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f231,plain,
    ( spl11_3
  <=> app(sK6,cons(sK10,nil)) = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).

fof(f514,plain,
    ! [X2] :
      ( segmentP(app(sK6,X2),sK6)
      | ~ ssList(X2) ),
    inference(subsumption_resolution,[],[f513,f252]) ).

fof(f252,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ssList(app(sK6,X1)) ),
    inference(resolution,[],[f157,f199]) ).

fof(f199,plain,
    ssList(sK6),
    inference(cnf_transformation,[],[f151]) ).

fof(f151,plain,
    ( ssList(sK6)
    & ssList(sK7)
    & sK9 = sK7
    & sK8 = sK6
    & ssList(sK9)
    & ( ( ~ neq(sK9,nil)
        & neq(sK7,nil) )
      | ( ssItem(sK10)
        & sK9 = app(sK8,cons(sK10,nil))
        & ~ segmentP(sK7,sK6)
        & neq(sK7,nil) ) )
    & ssList(sK8) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10])],[f103,f150,f149,f148,f147,f146]) ).

fof(f146,plain,
    ( ? [X0] :
        ( ssList(X0)
        & ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ? [X3] :
                    ( X1 = X3
                    & X0 = X2
                    & ssList(X3)
                    & ( ( ~ neq(X3,nil)
                        & neq(X1,nil) )
                      | ( ? [X4] :
                            ( ssItem(X4)
                            & app(X2,cons(X4,nil)) = X3 )
                        & ~ segmentP(X1,X0)
                        & neq(X1,nil) ) ) )
                & ssList(X2) ) ) )
   => ( ssList(sK6)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & sK6 = X2
                  & ssList(X3)
                  & ( ( ~ neq(X3,nil)
                      & neq(X1,nil) )
                    | ( ? [X4] :
                          ( ssItem(X4)
                          & app(X2,cons(X4,nil)) = X3 )
                      & ~ segmentP(X1,sK6)
                      & neq(X1,nil) ) ) )
              & ssList(X2) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f147,plain,
    ( ? [X1] :
        ( ssList(X1)
        & ? [X2] :
            ( ? [X3] :
                ( X1 = X3
                & sK6 = X2
                & ssList(X3)
                & ( ( ~ neq(X3,nil)
                    & neq(X1,nil) )
                  | ( ? [X4] :
                        ( ssItem(X4)
                        & app(X2,cons(X4,nil)) = X3 )
                    & ~ segmentP(X1,sK6)
                    & neq(X1,nil) ) ) )
            & ssList(X2) ) )
   => ( ssList(sK7)
      & ? [X2] :
          ( ? [X3] :
              ( sK7 = X3
              & sK6 = X2
              & ssList(X3)
              & ( ( ~ neq(X3,nil)
                  & neq(sK7,nil) )
                | ( ? [X4] :
                      ( ssItem(X4)
                      & app(X2,cons(X4,nil)) = X3 )
                  & ~ segmentP(sK7,sK6)
                  & neq(sK7,nil) ) ) )
          & ssList(X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f148,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( sK7 = X3
            & sK6 = X2
            & ssList(X3)
            & ( ( ~ neq(X3,nil)
                & neq(sK7,nil) )
              | ( ? [X4] :
                    ( ssItem(X4)
                    & app(X2,cons(X4,nil)) = X3 )
                & ~ segmentP(sK7,sK6)
                & neq(sK7,nil) ) ) )
        & ssList(X2) )
   => ( ? [X3] :
          ( sK7 = X3
          & sK8 = sK6
          & ssList(X3)
          & ( ( ~ neq(X3,nil)
              & neq(sK7,nil) )
            | ( ? [X4] :
                  ( ssItem(X4)
                  & app(sK8,cons(X4,nil)) = X3 )
              & ~ segmentP(sK7,sK6)
              & neq(sK7,nil) ) ) )
      & ssList(sK8) ) ),
    introduced(choice_axiom,[]) ).

fof(f149,plain,
    ( ? [X3] :
        ( sK7 = X3
        & sK8 = sK6
        & ssList(X3)
        & ( ( ~ neq(X3,nil)
            & neq(sK7,nil) )
          | ( ? [X4] :
                ( ssItem(X4)
                & app(sK8,cons(X4,nil)) = X3 )
            & ~ segmentP(sK7,sK6)
            & neq(sK7,nil) ) ) )
   => ( sK9 = sK7
      & sK8 = sK6
      & ssList(sK9)
      & ( ( ~ neq(sK9,nil)
          & neq(sK7,nil) )
        | ( ? [X4] :
              ( ssItem(X4)
              & sK9 = app(sK8,cons(X4,nil)) )
          & ~ segmentP(sK7,sK6)
          & neq(sK7,nil) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f150,plain,
    ( ? [X4] :
        ( ssItem(X4)
        & sK9 = app(sK8,cons(X4,nil)) )
   => ( ssItem(sK10)
      & sK9 = app(sK8,cons(sK10,nil)) ) ),
    introduced(choice_axiom,[]) ).

fof(f103,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & ssList(X3)
                  & ( ( ~ neq(X3,nil)
                      & neq(X1,nil) )
                    | ( ? [X4] :
                          ( ssItem(X4)
                          & app(X2,cons(X4,nil)) = X3 )
                      & ~ segmentP(X1,X0)
                      & neq(X1,nil) ) ) )
              & ssList(X2) ) ) ),
    inference(flattening,[],[f102]) ).

fof(f102,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ~ neq(X3,nil)
                      & neq(X1,nil) )
                    | ( ? [X4] :
                          ( ssItem(X4)
                          & app(X2,cons(X4,nil)) = X3 )
                      & ~ segmentP(X1,X0)
                      & neq(X1,nil) ) )
                  & X0 = X2
                  & 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)
                   => ( ( ( ~ neq(X1,nil)
                          | neq(X3,nil) )
                        & ( segmentP(X1,X0)
                          | ! [X4] :
                              ( ssItem(X4)
                             => app(X2,cons(X4,nil)) != X3 )
                          | ~ neq(X1,nil) ) )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( ( ~ neq(X1,nil)
                        | neq(X3,nil) )
                      & ( segmentP(X1,X0)
                        | ! [X4] :
                            ( ssItem(X4)
                           => app(X2,cons(X4,nil)) != X3 )
                        | ~ neq(X1,nil) ) )
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ssList(app(X0,X1)) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) ) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).

fof(f513,plain,
    ! [X2] :
      ( ~ ssList(app(sK6,X2))
      | ~ ssList(X2)
      | segmentP(app(sK6,X2),sK6) ),
    inference(subsumption_resolution,[],[f512,f166]) ).

fof(f166,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f512,plain,
    ! [X2] :
      ( ~ ssList(app(sK6,X2))
      | ~ ssList(nil)
      | ~ ssList(X2)
      | segmentP(app(sK6,X2),sK6) ),
    inference(subsumption_resolution,[],[f504,f199]) ).

fof(f504,plain,
    ! [X2] :
      ( segmentP(app(sK6,X2),sK6)
      | ~ ssList(sK6)
      | ~ ssList(X2)
      | ~ ssList(app(sK6,X2))
      | ~ ssList(nil) ),
    inference(superposition,[],[f211,f246]) ).

fof(f246,plain,
    app(nil,sK6) = sK6,
    inference(resolution,[],[f152,f199]) ).

fof(f152,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).

fof(f211,plain,
    ! [X2,X3,X1] :
      ( ~ ssList(app(app(X2,X1),X3))
      | ~ ssList(X1)
      | segmentP(app(app(X2,X1),X3),X1)
      | ~ ssList(X2)
      | ~ ssList(X3) ),
    inference(equality_resolution,[],[f156]) ).

fof(f156,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X1)
      | segmentP(X0,X1)
      | ~ ssList(X2)
      | app(app(X2,X1),X3) != X0
      | ~ ssList(X3)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) ) ) )
            & ( ( ssList(sK0(X0,X1))
                & app(app(sK0(X0,X1),X1),sK1(X0,X1)) = X0
                & ssList(sK1(X0,X1)) )
              | ~ segmentP(X0,X1) ) ) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f131,f133,f132]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ssList(X4)
          & ? [X5] :
              ( app(app(X4,X1),X5) = X0
              & ssList(X5) ) )
     => ( ssList(sK0(X0,X1))
        & ? [X5] :
            ( app(app(sK0(X0,X1),X1),X5) = X0
            & ssList(X5) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( app(app(sK0(X0,X1),X1),X5) = X0
          & ssList(X5) )
     => ( app(app(sK0(X0,X1),X1),sK1(X0,X1)) = X0
        & ssList(sK1(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f131,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) ) ) )
            & ( ? [X4] :
                  ( ssList(X4)
                  & ? [X5] :
                      ( app(app(X4,X1),X5) = X0
                      & ssList(X5) ) )
              | ~ segmentP(X0,X1) ) ) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) ) ) )
            & ( ? [X2] :
                  ( ssList(X2)
                  & ? [X3] :
                      ( app(app(X2,X1),X3) = X0
                      & ssList(X3) ) )
              | ~ segmentP(X0,X1) ) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) ) ) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

fof(f354,plain,
    ( ~ spl11_4
    | spl11_6 ),
    inference(avatar_contradiction_clause,[],[f353]) ).

fof(f353,plain,
    ( $false
    | ~ spl11_4
    | spl11_6 ),
    inference(subsumption_resolution,[],[f352,f166]) ).

fof(f352,plain,
    ( ~ ssList(nil)
    | ~ spl11_4
    | spl11_6 ),
    inference(resolution,[],[f333,f300]) ).

fof(f300,plain,
    ( ! [X0] :
        ( ssList(cons(sK10,X0))
        | ~ ssList(X0) )
    | ~ spl11_4 ),
    inference(resolution,[],[f200,f238]) ).

fof(f238,plain,
    ( ssItem(sK10)
    | ~ spl11_4 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f236,plain,
    ( spl11_4
  <=> ssItem(sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).

fof(f200,plain,
    ! [X0,X1] :
      ( ~ ssItem(X1)
      | ~ ssList(X0)
      | ssList(cons(X1,X0)) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | ssList(cons(X1,X0)) ) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).

fof(f333,plain,
    ( ~ ssList(cons(sK10,nil))
    | spl11_6 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f243,plain,
    spl11_1,
    inference(avatar_split_clause,[],[f217,f222]) ).

fof(f222,plain,
    ( spl11_1
  <=> neq(sK7,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).

fof(f217,plain,
    neq(sK7,nil),
    inference(duplicate_literal_removal,[],[f187]) ).

fof(f187,plain,
    ( neq(sK7,nil)
    | neq(sK7,nil) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f240,plain,
    ( ~ spl11_1
    | ~ spl11_2 ),
    inference(avatar_split_clause,[],[f207,f226,f222]) ).

fof(f207,plain,
    ( ~ segmentP(sK7,sK6)
    | ~ neq(sK7,nil) ),
    inference(definition_unfolding,[],[f192,f197]) ).

fof(f197,plain,
    sK9 = sK7,
    inference(cnf_transformation,[],[f151]) ).

fof(f192,plain,
    ( ~ neq(sK9,nil)
    | ~ segmentP(sK7,sK6) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f239,plain,
    ( spl11_4
    | ~ spl11_1 ),
    inference(avatar_split_clause,[],[f205,f222,f236]) ).

fof(f205,plain,
    ( ~ neq(sK7,nil)
    | ssItem(sK10) ),
    inference(definition_unfolding,[],[f194,f197]) ).

fof(f194,plain,
    ( ~ neq(sK9,nil)
    | ssItem(sK10) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f234,plain,
    ( ~ spl11_1
    | spl11_3 ),
    inference(avatar_split_clause,[],[f206,f231,f222]) ).

fof(f206,plain,
    ( app(sK6,cons(sK10,nil)) = sK7
    | ~ neq(sK7,nil) ),
    inference(definition_unfolding,[],[f193,f197,f197,f196]) ).

fof(f196,plain,
    sK8 = sK6,
    inference(cnf_transformation,[],[f151]) ).

fof(f193,plain,
    ( ~ neq(sK9,nil)
    | sK9 = app(sK8,cons(sK10,nil)) ),
    inference(cnf_transformation,[],[f151]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWC355+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 : n007.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 18:35:46 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (19523)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)
% 0.19/0.50  % (19521)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)
% 0.19/0.51  % (19542)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)
% 0.19/0.51  % (19535)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)
% 0.19/0.51  % (19530)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51  % (19527)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)
% 0.19/0.51  % (19520)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)
% 0.19/0.51  % (19530)Instruction limit reached!
% 0.19/0.51  % (19530)------------------------------
% 0.19/0.51  % (19530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (19530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (19530)Termination reason: Unknown
% 0.19/0.51  % (19530)Termination phase: Naming
% 0.19/0.51  
% 0.19/0.51  % (19530)Memory used [KB]: 1535
% 0.19/0.51  % (19530)Time elapsed: 0.004 s
% 0.19/0.51  % (19530)Instructions burned: 3 (million)
% 0.19/0.51  % (19530)------------------------------
% 0.19/0.51  % (19530)------------------------------
% 0.19/0.52  % (19518)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)
% 0.19/0.52  % (19538)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)
% 0.19/0.52  % (19513)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52  % (19514)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)
% 0.19/0.52  % (19540)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)
% 0.19/0.52  % (19523)Instruction limit reached!
% 0.19/0.52  % (19523)------------------------------
% 0.19/0.52  % (19523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (19517)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)
% 0.19/0.53  % (19523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (19523)Termination reason: Unknown
% 0.19/0.53  % (19523)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (19523)Memory used [KB]: 6140
% 0.19/0.53  % (19523)Time elapsed: 0.113 s
% 0.19/0.53  % (19523)Instructions burned: 12 (million)
% 0.19/0.53  % (19523)------------------------------
% 0.19/0.53  % (19523)------------------------------
% 0.19/0.53  % (19516)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)
% 0.19/0.53  % (19514)Instruction limit reached!
% 0.19/0.53  % (19514)------------------------------
% 0.19/0.53  % (19514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (19514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (19514)Termination reason: Unknown
% 0.19/0.53  % (19514)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (19514)Memory used [KB]: 6396
% 0.19/0.53  % (19514)Time elapsed: 0.122 s
% 0.19/0.53  % (19514)Instructions burned: 13 (million)
% 0.19/0.53  % (19514)------------------------------
% 0.19/0.53  % (19514)------------------------------
% 0.19/0.53  % (19527)Instruction limit reached!
% 0.19/0.53  % (19527)------------------------------
% 0.19/0.53  % (19527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (19527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (19527)Termination reason: Unknown
% 0.19/0.53  % (19527)Termination phase: Preprocessing 3
% 0.19/0.53  
% 0.19/0.53  % (19527)Memory used [KB]: 1535
% 0.19/0.53  % (19527)Time elapsed: 0.004 s
% 0.19/0.53  % (19527)Instructions burned: 3 (million)
% 0.19/0.53  % (19527)------------------------------
% 0.19/0.53  % (19527)------------------------------
% 0.19/0.53  % (19522)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  % (19519)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)
% 0.19/0.53  % (19541)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  % (19517)Instruction limit reached!
% 0.19/0.53  % (19517)------------------------------
% 0.19/0.53  % (19517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (19517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (19517)Termination reason: Unknown
% 0.19/0.53  % (19517)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (19517)Memory used [KB]: 6268
% 0.19/0.53  % (19517)Time elapsed: 0.128 s
% 0.19/0.53  % (19517)Instructions burned: 13 (million)
% 0.19/0.53  % (19517)------------------------------
% 0.19/0.53  % (19517)------------------------------
% 0.19/0.53  % (19536)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  % (19532)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)
% 0.19/0.53  % (19531)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  % (19531)Instruction limit reached!
% 0.19/0.53  % (19531)------------------------------
% 0.19/0.53  % (19531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (19531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (19531)Termination reason: Unknown
% 0.19/0.53  % (19531)Termination phase: SInE selection
% 0.19/0.53  
% 0.19/0.53  % (19531)Memory used [KB]: 1407
% 0.19/0.53  % (19531)Time elapsed: 0.002 s
% 0.19/0.53  % (19531)Instructions burned: 2 (million)
% 0.19/0.53  % (19531)------------------------------
% 0.19/0.53  % (19531)------------------------------
% 0.19/0.54  % (19533)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  % (19528)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)
% 0.19/0.54  % (19534)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)
% 0.19/0.54  % (19528)Instruction limit reached!
% 0.19/0.54  % (19528)------------------------------
% 0.19/0.54  % (19528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (19528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (19528)Termination reason: Unknown
% 0.19/0.54  % (19528)Termination phase: Function definition elimination
% 0.19/0.54  
% 0.19/0.54  % (19528)Memory used [KB]: 1791
% 0.19/0.54  % (19528)Time elapsed: 0.005 s
% 0.19/0.54  % (19528)Instructions burned: 8 (million)
% 0.19/0.54  % (19528)------------------------------
% 0.19/0.54  % (19528)------------------------------
% 0.19/0.54  % (19537)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  % (19524)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  % (19525)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)
% 0.19/0.54  % (19515)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)
% 0.19/0.54  % (19526)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)
% 0.19/0.54  % (19515)Instruction limit reached!
% 0.19/0.54  % (19515)------------------------------
% 0.19/0.54  % (19515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (19515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (19515)Termination reason: Unknown
% 0.19/0.54  % (19515)Termination phase: Preprocessing 3
% 0.19/0.54  
% 0.19/0.54  % (19515)Memory used [KB]: 1535
% 0.19/0.54  % (19515)Time elapsed: 0.003 s
% 0.19/0.54  % (19515)Instructions burned: 3 (million)
% 0.19/0.54  % (19515)------------------------------
% 0.19/0.54  % (19515)------------------------------
% 0.19/0.55  % (19529)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)
% 0.19/0.55  % (19518)Instruction limit reached!
% 0.19/0.55  % (19518)------------------------------
% 0.19/0.55  % (19518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (19518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (19518)Termination reason: Unknown
% 0.19/0.55  % (19518)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (19518)Memory used [KB]: 1663
% 0.19/0.55  % (19518)Time elapsed: 0.128 s
% 0.19/0.55  % (19518)Instructions burned: 16 (million)
% 0.19/0.55  % (19518)------------------------------
% 0.19/0.55  % (19518)------------------------------
% 0.19/0.55  % (19539)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)
% 0.19/0.55  % (19541)Instruction limit reached!
% 0.19/0.55  % (19541)------------------------------
% 0.19/0.55  % (19541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (19541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (19541)Termination reason: Unknown
% 0.19/0.55  % (19541)Termination phase: Property scanning
% 0.19/0.55  
% 0.19/0.55  % (19541)Memory used [KB]: 1791
% 0.19/0.55  % (19541)Time elapsed: 0.005 s
% 0.19/0.55  % (19541)Instructions burned: 10 (million)
% 0.19/0.55  % (19541)------------------------------
% 0.19/0.55  % (19541)------------------------------
% 0.19/0.56  % (19532)Instruction limit reached!
% 0.19/0.56  % (19532)------------------------------
% 0.19/0.56  % (19532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (19532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (19532)Termination reason: Unknown
% 0.19/0.56  % (19532)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (19532)Memory used [KB]: 6268
% 0.19/0.56  % (19532)Time elapsed: 0.141 s
% 0.19/0.56  % (19532)Instructions burned: 11 (million)
% 0.19/0.56  % (19532)------------------------------
% 0.19/0.56  % (19532)------------------------------
% 0.19/0.56  % (19525)Instruction limit reached!
% 0.19/0.56  % (19525)------------------------------
% 0.19/0.56  % (19525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (19525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (19525)Termination reason: Unknown
% 0.19/0.56  % (19525)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (19525)Memory used [KB]: 2046
% 0.19/0.56  % (19525)Time elapsed: 0.168 s
% 0.19/0.56  % (19525)Instructions burned: 17 (million)
% 0.19/0.56  % (19525)------------------------------
% 0.19/0.56  % (19525)------------------------------
% 0.19/0.56  % (19524)Instruction limit reached!
% 0.19/0.56  % (19524)------------------------------
% 0.19/0.56  % (19524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (19524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (19524)Termination reason: Unknown
% 0.19/0.56  % (19524)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (19524)Memory used [KB]: 6140
% 0.19/0.56  % (19524)Time elapsed: 0.148 s
% 0.19/0.56  % (19524)Instructions burned: 7 (million)
% 0.19/0.56  % (19524)------------------------------
% 0.19/0.56  % (19524)------------------------------
% 0.19/0.57  % (19540)Instruction limit reached!
% 0.19/0.57  % (19540)------------------------------
% 0.19/0.57  % (19540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (19540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (19540)Termination reason: Unknown
% 0.19/0.57  % (19540)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (19540)Memory used [KB]: 6652
% 0.19/0.57  % (19540)Time elapsed: 0.155 s
% 0.19/0.57  % (19540)Instructions burned: 25 (million)
% 0.19/0.57  % (19540)------------------------------
% 0.19/0.57  % (19540)------------------------------
% 0.19/0.57  % (19542)Instruction limit reached!
% 0.19/0.57  % (19542)------------------------------
% 0.19/0.57  % (19542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (19542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (19542)Termination reason: Unknown
% 0.19/0.57  % (19542)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (19542)Memory used [KB]: 6396
% 0.19/0.57  % (19542)Time elapsed: 0.171 s
% 0.19/0.57  % (19542)Instructions burned: 25 (million)
% 0.19/0.57  % (19542)------------------------------
% 0.19/0.57  % (19542)------------------------------
% 0.19/0.57  % (19521)Instruction limit reached!
% 0.19/0.57  % (19521)------------------------------
% 0.19/0.57  % (19521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (19521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (19521)Termination reason: Unknown
% 0.19/0.57  % (19521)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (19521)Memory used [KB]: 6908
% 0.19/0.57  % (19521)Time elapsed: 0.156 s
% 0.19/0.57  % (19521)Instructions burned: 50 (million)
% 0.19/0.57  % (19521)------------------------------
% 0.19/0.57  % (19521)------------------------------
% 0.19/0.57  % (19538)First to succeed.
% 0.19/0.58  % (19538)Refutation found. Thanks to Tanya!
% 0.19/0.58  % SZS status Theorem for theBenchmark
% 0.19/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.58  % (19538)------------------------------
% 0.19/0.58  % (19538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (19538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (19538)Termination reason: Refutation
% 0.19/0.58  
% 0.19/0.58  % (19538)Memory used [KB]: 6780
% 0.19/0.58  % (19538)Time elapsed: 0.167 s
% 0.19/0.58  % (19538)Instructions burned: 38 (million)
% 0.19/0.58  % (19538)------------------------------
% 0.19/0.58  % (19538)------------------------------
% 0.19/0.58  % (19512)Success in time 0.225 s
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