TSTP Solution File: SWC068+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC068+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 : n006.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 18:38:34 EDT 2022

% Result   : Theorem 2.36s 0.66s
% Output   : Refutation 2.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   65 (  18 unt;   0 def)
%            Number of atoms       :  328 ( 112 equ)
%            Maximal formula atoms :   26 (   5 avg)
%            Number of connectives :  426 ( 163   ~; 134   |; 104   &)
%                                         (   4 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :  107 (  69   !;  38   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f436,plain,
    $false,
    inference(subsumption_resolution,[],[f417,f407]) ).

fof(f407,plain,
    nil != sK2,
    inference(trivial_inequality_removal,[],[f388]) ).

fof(f388,plain,
    ( nil != nil
    | nil != sK2 ),
    inference(backward_demodulation,[],[f198,f371]) ).

fof(f371,plain,
    nil = sK1,
    inference(subsumption_resolution,[],[f370,f174]) ).

fof(f174,plain,
    ssList(sK1),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ( ssList(sK1)
    & ( nil != sK1
      | nil != sK0 )
    & ! [X4] :
        ( ~ segmentP(sK1,X4)
        | ~ segmentP(sK0,X4)
        | ~ neq(X4,nil)
        | ~ ssList(X4) )
    & app(sK3,sK3) = sK2
    & sK3 = sK1
    & ssList(sK3)
    & sK0 = sK2
    & ssList(sK2)
    & ssList(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f122,f134,f133,f132,f131]) ).

fof(f131,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ? [X3] :
                    ( ( nil != X1
                      | nil != X0 )
                    & ! [X4] :
                        ( ~ segmentP(X1,X4)
                        | ~ segmentP(X0,X4)
                        | ~ neq(X4,nil)
                        | ~ ssList(X4) )
                    & app(X3,X3) = X2
                    & X1 = X3
                    & ssList(X3)
                    & X0 = X2 )
                & ssList(X2) ) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ? [X3] :
                  ( ( nil != X1
                    | nil != sK0 )
                  & ! [X4] :
                      ( ~ segmentP(X1,X4)
                      | ~ segmentP(sK0,X4)
                      | ~ neq(X4,nil)
                      | ~ ssList(X4) )
                  & app(X3,X3) = X2
                  & X1 = X3
                  & ssList(X3)
                  & sK0 = X2 )
              & ssList(X2) ) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f132,plain,
    ( ? [X1] :
        ( ssList(X1)
        & ? [X2] :
            ( ? [X3] :
                ( ( nil != X1
                  | nil != sK0 )
                & ! [X4] :
                    ( ~ segmentP(X1,X4)
                    | ~ segmentP(sK0,X4)
                    | ~ neq(X4,nil)
                    | ~ ssList(X4) )
                & app(X3,X3) = X2
                & X1 = X3
                & ssList(X3)
                & sK0 = X2 )
            & ssList(X2) ) )
   => ( ssList(sK1)
      & ? [X2] :
          ( ? [X3] :
              ( ( nil != sK1
                | nil != sK0 )
              & ! [X4] :
                  ( ~ segmentP(sK1,X4)
                  | ~ segmentP(sK0,X4)
                  | ~ neq(X4,nil)
                  | ~ ssList(X4) )
              & app(X3,X3) = X2
              & sK1 = X3
              & ssList(X3)
              & sK0 = X2 )
          & ssList(X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f133,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( nil != sK1
              | nil != sK0 )
            & ! [X4] :
                ( ~ segmentP(sK1,X4)
                | ~ segmentP(sK0,X4)
                | ~ neq(X4,nil)
                | ~ ssList(X4) )
            & app(X3,X3) = X2
            & sK1 = X3
            & ssList(X3)
            & sK0 = X2 )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( nil != sK1
            | nil != sK0 )
          & ! [X4] :
              ( ~ segmentP(sK1,X4)
              | ~ segmentP(sK0,X4)
              | ~ neq(X4,nil)
              | ~ ssList(X4) )
          & app(X3,X3) = sK2
          & sK1 = X3
          & ssList(X3)
          & sK0 = sK2 )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f134,plain,
    ( ? [X3] :
        ( ( nil != sK1
          | nil != sK0 )
        & ! [X4] :
            ( ~ segmentP(sK1,X4)
            | ~ segmentP(sK0,X4)
            | ~ neq(X4,nil)
            | ~ ssList(X4) )
        & app(X3,X3) = sK2
        & sK1 = X3
        & ssList(X3)
        & sK0 = sK2 )
   => ( ( nil != sK1
        | nil != sK0 )
      & ! [X4] :
          ( ~ segmentP(sK1,X4)
          | ~ segmentP(sK0,X4)
          | ~ neq(X4,nil)
          | ~ ssList(X4) )
      & app(sK3,sK3) = sK2
      & sK3 = sK1
      & ssList(sK3)
      & sK0 = sK2 ) ),
    introduced(choice_axiom,[]) ).

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

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

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

fof(f370,plain,
    ( ~ ssList(sK1)
    | nil = sK1 ),
    inference(resolution,[],[f351,f178]) ).

fof(f178,plain,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(X0,X0) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,axiom,
    ! [X0] :
      ( ssList(X0)
     => segmentP(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).

fof(f351,plain,
    ( ~ segmentP(sK1,sK1)
    | nil = sK1 ),
    inference(subsumption_resolution,[],[f347,f174]) ).

fof(f347,plain,
    ( nil = sK1
    | ~ ssList(sK1)
    | ~ segmentP(sK1,sK1) ),
    inference(resolution,[],[f231,f311]) ).

fof(f311,plain,
    segmentP(app(sK1,sK1),sK1),
    inference(subsumption_resolution,[],[f310,f174]) ).

fof(f310,plain,
    ( ~ ssList(sK1)
    | segmentP(app(sK1,sK1),sK1) ),
    inference(subsumption_resolution,[],[f309,f154]) ).

fof(f154,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f309,plain,
    ( segmentP(app(sK1,sK1),sK1)
    | ~ ssList(nil)
    | ~ ssList(sK1) ),
    inference(subsumption_resolution,[],[f306,f220]) ).

fof(f220,plain,
    ssList(app(sK1,sK1)),
    inference(backward_demodulation,[],[f167,f200]) ).

fof(f200,plain,
    app(sK1,sK1) = sK2,
    inference(definition_unfolding,[],[f171,f170,f170]) ).

fof(f170,plain,
    sK3 = sK1,
    inference(cnf_transformation,[],[f135]) ).

fof(f171,plain,
    app(sK3,sK3) = sK2,
    inference(cnf_transformation,[],[f135]) ).

fof(f167,plain,
    ssList(sK2),
    inference(cnf_transformation,[],[f135]) ).

fof(f306,plain,
    ( segmentP(app(sK1,sK1),sK1)
    | ~ ssList(app(sK1,sK1))
    | ~ ssList(nil)
    | ~ ssList(sK1) ),
    inference(duplicate_literal_removal,[],[f295]) ).

fof(f295,plain,
    ( ~ ssList(nil)
    | ~ ssList(app(sK1,sK1))
    | ~ ssList(sK1)
    | ~ ssList(sK1)
    | segmentP(app(sK1,sK1),sK1) ),
    inference(superposition,[],[f208,f224]) ).

fof(f224,plain,
    app(app(sK1,sK1),nil) = app(sK1,sK1),
    inference(resolution,[],[f220,f157]) ).

fof(f157,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,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/sandbox/benchmark/theBenchmark.p',ax84) ).

fof(f208,plain,
    ! [X2,X3,X1] :
      ( segmentP(app(app(X2,X1),X3),X1)
      | ~ ssList(X2)
      | ~ ssList(app(app(X2,X1),X3))
      | ~ ssList(X3)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f197]) ).

fof(f197,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | segmentP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | app(app(X2,X1),X3) != X0
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( ~ ssList(X3)
                      | app(app(X2,X1),X3) != X0 ) ) )
            & ( ( ssList(sK8(X0,X1))
                & ssList(sK9(X0,X1))
                & app(app(sK8(X0,X1),X1),sK9(X0,X1)) = X0 )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f147,f149,f148]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ssList(X4)
          & ? [X5] :
              ( ssList(X5)
              & app(app(X4,X1),X5) = X0 ) )
     => ( ssList(sK8(X0,X1))
        & ? [X5] :
            ( ssList(X5)
            & app(app(sK8(X0,X1),X1),X5) = X0 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( ssList(X5)
          & app(app(sK8(X0,X1),X1),X5) = X0 )
     => ( ssList(sK9(X0,X1))
        & app(app(sK8(X0,X1),X1),sK9(X0,X1)) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f147,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( ~ ssList(X3)
                      | app(app(X2,X1),X3) != X0 ) ) )
            & ( ? [X4] :
                  ( ssList(X4)
                  & ? [X5] :
                      ( ssList(X5)
                      & app(app(X4,X1),X5) = X0 ) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) ) ),
    inference(rectify,[],[f146]) ).

fof(f146,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( ~ ssList(X3)
                      | app(app(X2,X1),X3) != X0 ) ) )
            & ( ? [X2] :
                  ( ssList(X2)
                  & ? [X3] :
                      ( ssList(X3)
                      & app(app(X2,X1),X3) = X0 ) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) ) ),
    inference(nnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ssList(X3)
                    & app(app(X2,X1),X3) = X0 ) ) )
          | ~ ssList(X1) ) ),
    inference(ennf_transformation,[],[f7]) ).

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

fof(f231,plain,
    ! [X1] :
      ( ~ segmentP(app(sK1,sK1),X1)
      | ~ ssList(X1)
      | ~ segmentP(sK1,X1)
      | nil = X1 ),
    inference(subsumption_resolution,[],[f230,f154]) ).

fof(f230,plain,
    ! [X1] :
      ( ~ segmentP(sK1,X1)
      | ~ ssList(nil)
      | nil = X1
      | ~ segmentP(app(sK1,sK1),X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f229]) ).

fof(f229,plain,
    ! [X1] :
      ( ~ segmentP(sK1,X1)
      | ~ ssList(X1)
      | ~ ssList(nil)
      | ~ ssList(X1)
      | nil = X1
      | ~ segmentP(app(sK1,sK1),X1) ),
    inference(resolution,[],[f226,f159]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

fof(f226,plain,
    ! [X4] :
      ( ~ neq(X4,nil)
      | ~ segmentP(app(sK1,sK1),X4)
      | ~ ssList(X4)
      | ~ segmentP(sK1,X4) ),
    inference(forward_demodulation,[],[f199,f200]) ).

fof(f199,plain,
    ! [X4] :
      ( ~ segmentP(sK2,X4)
      | ~ ssList(X4)
      | ~ neq(X4,nil)
      | ~ segmentP(sK1,X4) ),
    inference(definition_unfolding,[],[f172,f168]) ).

fof(f168,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f135]) ).

fof(f172,plain,
    ! [X4] :
      ( ~ segmentP(sK1,X4)
      | ~ segmentP(sK0,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f198,plain,
    ( nil != sK2
    | nil != sK1 ),
    inference(definition_unfolding,[],[f173,f168]) ).

fof(f173,plain,
    ( nil != sK1
    | nil != sK0 ),
    inference(cnf_transformation,[],[f135]) ).

fof(f417,plain,
    nil = sK2,
    inference(backward_demodulation,[],[f389,f391]) ).

fof(f391,plain,
    nil = app(nil,nil),
    inference(backward_demodulation,[],[f217,f371]) ).

fof(f217,plain,
    sK1 = app(nil,sK1),
    inference(resolution,[],[f174,f162]) ).

fof(f162,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(ennf_transformation,[],[f28]) ).

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

fof(f389,plain,
    app(nil,nil) = sK2,
    inference(backward_demodulation,[],[f200,f371]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWC068+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 18:06:10 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.53  % (17973)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.56  % (18001)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)
% 0.20/0.56  % (17985)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)
% 0.20/0.57  % (18002)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)
% 0.20/0.58  % (18001)Instruction limit reached!
% 0.20/0.58  % (18001)------------------------------
% 0.20/0.58  % (18001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (18001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (18001)Termination reason: Unknown
% 0.20/0.58  % (18001)Termination phase: Property scanning
% 0.20/0.58  
% 0.20/0.58  % (18001)Memory used [KB]: 1791
% 0.20/0.58  % (18001)Time elapsed: 0.009 s
% 0.20/0.58  % (18001)Instructions burned: 9 (million)
% 0.20/0.58  % (18001)------------------------------
% 0.20/0.58  % (18001)------------------------------
% 0.20/0.59  % (17994)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)
% 0.20/0.59  % (17986)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)
% 0.20/0.59  % (17975)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)
% 0.20/0.59  % (17977)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)
% 0.20/0.59  % (17975)Instruction limit reached!
% 0.20/0.59  % (17975)------------------------------
% 0.20/0.59  % (17975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (17975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (17975)Termination reason: Unknown
% 0.20/0.59  % (17975)Termination phase: shuffling
% 0.20/0.59  
% 0.20/0.59  % (17975)Memory used [KB]: 1535
% 0.20/0.59  % (17975)Time elapsed: 0.003 s
% 0.20/0.59  % (17975)Instructions burned: 3 (million)
% 0.20/0.59  % (17975)------------------------------
% 0.20/0.59  % (17975)------------------------------
% 0.20/0.59  % (17976)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)
% 0.20/0.59  % (17974)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)
% 0.20/0.59  % (17983)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)
% 0.20/0.60  % (17984)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)
% 0.20/0.60  % (17985)Instruction limit reached!
% 0.20/0.60  % (17985)------------------------------
% 0.20/0.60  % (17985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (17985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (17985)Termination reason: Unknown
% 0.20/0.60  % (17985)Termination phase: Saturation
% 0.20/0.60  
% 0.20/0.60  % (17985)Memory used [KB]: 2046
% 0.20/0.60  % (17985)Time elapsed: 0.166 s
% 0.20/0.60  % (17985)Instructions burned: 17 (million)
% 0.20/0.60  % (17985)------------------------------
% 0.20/0.60  % (17985)------------------------------
% 0.20/0.61  % (17979)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)
% 0.20/0.61  % (17995)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)
% 0.20/0.62  % (17997)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)
% 0.20/0.62  % (17978)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)
% 0.20/0.62  % (17984)Instruction limit reached!
% 0.20/0.62  % (17984)------------------------------
% 0.20/0.62  % (17984)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.62  % (17974)Instruction limit reached!
% 0.20/0.62  % (17974)------------------------------
% 0.20/0.62  % (17974)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.62  % (17980)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)
% 2.04/0.62  % (17996)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)
% 2.04/0.62  % (17998)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)
% 2.04/0.62  % (17983)Instruction limit reached!
% 2.04/0.62  % (17983)------------------------------
% 2.04/0.62  % (17983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.62  % (17988)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)
% 2.04/0.62  % (17990)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 2.04/0.62  % (17984)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.62  % (17984)Termination reason: Unknown
% 2.04/0.62  % (17984)Termination phase: Saturation
% 2.04/0.62  
% 2.04/0.62  % (17984)Memory used [KB]: 6140
% 2.04/0.62  % (17984)Time elapsed: 0.175 s
% 2.04/0.62  % (17984)Instructions burned: 7 (million)
% 2.04/0.62  % (17984)------------------------------
% 2.04/0.62  % (17984)------------------------------
% 2.04/0.62  % (17989)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)
% 2.04/0.62  % (17999)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)
% 2.04/0.63  % (17987)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)
% 2.04/0.63  % (17987)Instruction limit reached!
% 2.04/0.63  % (17987)------------------------------
% 2.04/0.63  % (17987)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.63  % (17987)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.63  % (17987)Termination reason: Unknown
% 2.04/0.63  % (17987)Termination phase: Preprocessing 3
% 2.04/0.63  
% 2.04/0.63  % (17987)Memory used [KB]: 1535
% 2.04/0.63  % (17987)Time elapsed: 0.005 s
% 2.04/0.63  % (17987)Instructions burned: 3 (million)
% 2.04/0.63  % (17987)------------------------------
% 2.04/0.63  % (17987)------------------------------
% 2.04/0.63  % (17982)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)
% 2.04/0.63  % (17988)Instruction limit reached!
% 2.04/0.63  % (17988)------------------------------
% 2.04/0.63  % (17988)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.63  % (17974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.63  % (17974)Termination reason: Unknown
% 2.04/0.63  % (17974)Termination phase: Saturation
% 2.04/0.63  
% 2.04/0.63  % (18000)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)
% 2.04/0.63  % (17974)Memory used [KB]: 6524
% 2.04/0.63  % (17974)Time elapsed: 0.197 s
% 2.04/0.63  % (17974)Instructions burned: 14 (million)
% 2.04/0.63  % (17974)------------------------------
% 2.04/0.63  % (17974)------------------------------
% 2.04/0.64  % (18002)Instruction limit reached!
% 2.04/0.64  % (18002)------------------------------
% 2.04/0.64  % (18002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.64  % (17990)Instruction limit reached!
% 2.04/0.64  % (17990)------------------------------
% 2.04/0.64  % (17990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.64  % (17990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.64  % (17990)Termination reason: Unknown
% 2.04/0.64  % (17990)Termination phase: Naming
% 2.04/0.64  
% 2.04/0.64  % (17990)Memory used [KB]: 1535
% 2.04/0.64  % (17990)Time elapsed: 0.005 s
% 2.04/0.64  % (17990)Instructions burned: 3 (million)
% 2.04/0.64  % (17990)------------------------------
% 2.04/0.64  % (17990)------------------------------
% 2.04/0.64  % (17991)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)
% 2.04/0.64  % (17991)Instruction limit reached!
% 2.04/0.64  % (17991)------------------------------
% 2.04/0.64  % (17991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.64  % (17983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.64  % (17983)Termination reason: Unknown
% 2.04/0.64  % (17983)Termination phase: Saturation
% 2.04/0.64  
% 2.04/0.64  % (17983)Memory used [KB]: 6140
% 2.04/0.64  % (17983)Time elapsed: 0.203 s
% 2.04/0.64  % (17983)Instructions burned: 13 (million)
% 2.04/0.64  % (17983)------------------------------
% 2.04/0.64  % (17983)------------------------------
% 2.04/0.64  % (17977)Instruction limit reached!
% 2.04/0.64  % (17977)------------------------------
% 2.04/0.64  % (17977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.64  % (17977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.64  % (17977)Termination reason: Unknown
% 2.04/0.64  % (17977)Termination phase: Saturation
% 2.04/0.64  
% 2.04/0.64  % (17977)Memory used [KB]: 6268
% 2.04/0.64  % (17977)Time elapsed: 0.198 s
% 2.04/0.64  % (17977)Instructions burned: 13 (million)
% 2.04/0.64  % (17977)------------------------------
% 2.04/0.64  % (17977)------------------------------
% 2.16/0.64  % (17988)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.64  % (17988)Termination reason: Unknown
% 2.16/0.64  % (17988)Termination phase: Property scanning
% 2.16/0.64  
% 2.16/0.64  % (17988)Memory used [KB]: 1791
% 2.16/0.64  % (17988)Time elapsed: 0.007 s
% 2.16/0.64  % (17988)Instructions burned: 7 (million)
% 2.16/0.64  % (17988)------------------------------
% 2.16/0.64  % (17988)------------------------------
% 2.16/0.64  % (17981)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)
% 2.16/0.64  % (17993)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)
% 2.16/0.64  % (18002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.64  % (18002)Termination reason: Unknown
% 2.16/0.64  % (18002)Termination phase: Saturation
% 2.16/0.64  
% 2.16/0.64  % (18002)Memory used [KB]: 6396
% 2.16/0.64  % (18002)Time elapsed: 0.212 s
% 2.16/0.64  % (18002)Instructions burned: 25 (million)
% 2.16/0.64  % (18002)------------------------------
% 2.16/0.64  % (18002)------------------------------
% 2.16/0.64  % (17992)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)
% 2.16/0.64  % (17991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.64  % (17991)Termination reason: Unknown
% 2.16/0.64  % (17991)Termination phase: SInE selection
% 2.16/0.64  
% 2.16/0.64  % (17991)Memory used [KB]: 1407
% 2.16/0.64  % (17991)Time elapsed: 0.003 s
% 2.16/0.64  % (17991)Instructions burned: 2 (million)
% 2.16/0.64  % (17991)------------------------------
% 2.16/0.64  % (17991)------------------------------
% 2.16/0.65  % (17978)First to succeed.
% 2.36/0.66  % (17978)Refutation found. Thanks to Tanya!
% 2.36/0.66  % SZS status Theorem for theBenchmark
% 2.36/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 2.36/0.66  % (17978)------------------------------
% 2.36/0.66  % (17978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.66  % (17978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.66  % (17978)Termination reason: Refutation
% 2.36/0.66  
% 2.36/0.66  % (17978)Memory used [KB]: 1663
% 2.36/0.66  % (17978)Time elapsed: 0.211 s
% 2.36/0.66  % (17978)Instructions burned: 14 (million)
% 2.36/0.66  % (17978)------------------------------
% 2.36/0.66  % (17978)------------------------------
% 2.36/0.66  % (17972)Success in time 0.292 s
%------------------------------------------------------------------------------