TSTP Solution File: SWC099+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC099+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 : n023.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 18:38:48 EDT 2022

% Result   : Theorem 1.86s 0.59s
% Output   : Refutation 1.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  144 (  10 unt;   0 def)
%            Number of atoms       :  651 ( 130 equ)
%            Maximal formula atoms :   36 (   4 avg)
%            Number of connectives :  827 ( 320   ~; 312   |; 147   &)
%                                         (  17 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  12 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :  148 ( 107   !;  41   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f907,plain,
    $false,
    inference(avatar_sat_refutation,[],[f290,f300,f309,f316,f347,f764,f786,f790,f809,f821,f857,f902,f906]) ).

fof(f906,plain,
    ( spl15_1
    | spl15_20 ),
    inference(avatar_contradiction_clause,[],[f905]) ).

fof(f905,plain,
    ( $false
    | spl15_1
    | spl15_20 ),
    inference(subsumption_resolution,[],[f904,f274]) ).

fof(f274,plain,
    ( nil != sK12
    | spl15_1 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f273,plain,
    ( spl15_1
  <=> nil = sK12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).

fof(f904,plain,
    ( nil = sK12
    | spl15_20 ),
    inference(subsumption_resolution,[],[f903,f227]) ).

fof(f227,plain,
    ssList(sK12),
    inference(cnf_transformation,[],[f172]) ).

fof(f172,plain,
    ( ssList(sK10)
    & ssList(sK11)
    & sK10 = sK12
    & ssList(sK12)
    & frontsegP(sK12,sK11)
    & sK9 = sK11
    & ( ( ( ~ frontsegP(sK10,sK9)
          | ~ neq(sK9,nil) )
        & neq(sK10,nil) )
      | ( nil = sK10
        & nil != sK9 ) )
    & ! [X4] :
        ( ~ neq(sK11,X4)
        | ~ segmentP(X4,sK11)
        | ~ equalelemsP(X4)
        | ~ frontsegP(sK12,X4)
        | ~ ssList(X4) )
    & equalelemsP(sK11)
    & ssList(sK9) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f139,f171,f170,f169,f168]) ).

fof(f168,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( X1 = X3
                    & ssList(X3)
                    & frontsegP(X3,X2)
                    & X0 = X2
                    & ( ( ( ~ frontsegP(X1,X0)
                          | ~ neq(X0,nil) )
                        & neq(X1,nil) )
                      | ( nil = X1
                        & nil != X0 ) )
                    & ! [X4] :
                        ( ~ neq(X2,X4)
                        | ~ segmentP(X4,X2)
                        | ~ equalelemsP(X4)
                        | ~ frontsegP(X3,X4)
                        | ~ ssList(X4) )
                    & equalelemsP(X2) ) ) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( X1 = X3
                  & ssList(X3)
                  & frontsegP(X3,X2)
                  & sK9 = X2
                  & ( ( ( ~ frontsegP(X1,sK9)
                        | ~ neq(sK9,nil) )
                      & neq(X1,nil) )
                    | ( nil = X1
                      & nil != sK9 ) )
                  & ! [X4] :
                      ( ~ neq(X2,X4)
                      | ~ segmentP(X4,X2)
                      | ~ equalelemsP(X4)
                      | ~ frontsegP(X3,X4)
                      | ~ ssList(X4) )
                  & equalelemsP(X2) ) ) )
      & ssList(sK9) ) ),
    introduced(choice_axiom,[]) ).

fof(f169,plain,
    ( ? [X1] :
        ( ssList(X1)
        & ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( X1 = X3
                & ssList(X3)
                & frontsegP(X3,X2)
                & sK9 = X2
                & ( ( ( ~ frontsegP(X1,sK9)
                      | ~ neq(sK9,nil) )
                    & neq(X1,nil) )
                  | ( nil = X1
                    & nil != sK9 ) )
                & ! [X4] :
                    ( ~ neq(X2,X4)
                    | ~ segmentP(X4,X2)
                    | ~ equalelemsP(X4)
                    | ~ frontsegP(X3,X4)
                    | ~ ssList(X4) )
                & equalelemsP(X2) ) ) )
   => ( ssList(sK10)
      & ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( sK10 = X3
              & ssList(X3)
              & frontsegP(X3,X2)
              & sK9 = X2
              & ( ( ( ~ frontsegP(sK10,sK9)
                    | ~ neq(sK9,nil) )
                  & neq(sK10,nil) )
                | ( nil = sK10
                  & nil != sK9 ) )
              & ! [X4] :
                  ( ~ neq(X2,X4)
                  | ~ segmentP(X4,X2)
                  | ~ equalelemsP(X4)
                  | ~ frontsegP(X3,X4)
                  | ~ ssList(X4) )
              & equalelemsP(X2) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f170,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( sK10 = X3
            & ssList(X3)
            & frontsegP(X3,X2)
            & sK9 = X2
            & ( ( ( ~ frontsegP(sK10,sK9)
                  | ~ neq(sK9,nil) )
                & neq(sK10,nil) )
              | ( nil = sK10
                & nil != sK9 ) )
            & ! [X4] :
                ( ~ neq(X2,X4)
                | ~ segmentP(X4,X2)
                | ~ equalelemsP(X4)
                | ~ frontsegP(X3,X4)
                | ~ ssList(X4) )
            & equalelemsP(X2) ) )
   => ( ssList(sK11)
      & ? [X3] :
          ( sK10 = X3
          & ssList(X3)
          & frontsegP(X3,sK11)
          & sK9 = sK11
          & ( ( ( ~ frontsegP(sK10,sK9)
                | ~ neq(sK9,nil) )
              & neq(sK10,nil) )
            | ( nil = sK10
              & nil != sK9 ) )
          & ! [X4] :
              ( ~ neq(sK11,X4)
              | ~ segmentP(X4,sK11)
              | ~ equalelemsP(X4)
              | ~ frontsegP(X3,X4)
              | ~ ssList(X4) )
          & equalelemsP(sK11) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f171,plain,
    ( ? [X3] :
        ( sK10 = X3
        & ssList(X3)
        & frontsegP(X3,sK11)
        & sK9 = sK11
        & ( ( ( ~ frontsegP(sK10,sK9)
              | ~ neq(sK9,nil) )
            & neq(sK10,nil) )
          | ( nil = sK10
            & nil != sK9 ) )
        & ! [X4] :
            ( ~ neq(sK11,X4)
            | ~ segmentP(X4,sK11)
            | ~ equalelemsP(X4)
            | ~ frontsegP(X3,X4)
            | ~ ssList(X4) )
        & equalelemsP(sK11) )
   => ( sK10 = sK12
      & ssList(sK12)
      & frontsegP(sK12,sK11)
      & sK9 = sK11
      & ( ( ( ~ frontsegP(sK10,sK9)
            | ~ neq(sK9,nil) )
          & neq(sK10,nil) )
        | ( nil = sK10
          & nil != sK9 ) )
      & ! [X4] :
          ( ~ neq(sK11,X4)
          | ~ segmentP(X4,sK11)
          | ~ equalelemsP(X4)
          | ~ frontsegP(sK12,X4)
          | ~ ssList(X4) )
      & equalelemsP(sK11) ) ),
    introduced(choice_axiom,[]) ).

fof(f139,plain,
    ? [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( X1 = X3
                  & ssList(X3)
                  & frontsegP(X3,X2)
                  & X0 = X2
                  & ( ( ( ~ frontsegP(X1,X0)
                        | ~ neq(X0,nil) )
                      & neq(X1,nil) )
                    | ( nil = X1
                      & nil != X0 ) )
                  & ! [X4] :
                      ( ~ neq(X2,X4)
                      | ~ segmentP(X4,X2)
                      | ~ equalelemsP(X4)
                      | ~ frontsegP(X3,X4)
                      | ~ ssList(X4) )
                  & equalelemsP(X2) ) ) )
      & ssList(X0) ),
    inference(flattening,[],[f138]) ).

fof(f138,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X0 = X2
                  & ( ( ( ~ frontsegP(X1,X0)
                        | ~ neq(X0,nil) )
                      & neq(X1,nil) )
                    | ( nil = X1
                      & nil != X0 ) )
                  & frontsegP(X3,X2)
                  & X1 = X3
                  & equalelemsP(X2)
                  & ! [X4] :
                      ( ~ neq(X2,X4)
                      | ~ segmentP(X4,X2)
                      | ~ equalelemsP(X4)
                      | ~ frontsegP(X3,X4)
                      | ~ ssList(X4) )
                  & 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
                      | ( ( ~ neq(X1,nil)
                          | ( neq(X0,nil)
                            & frontsegP(X1,X0) ) )
                        & ( nil = X0
                          | nil != X1 ) )
                      | ~ frontsegP(X3,X2)
                      | X1 != X3
                      | ~ equalelemsP(X2)
                      | ? [X4] :
                          ( segmentP(X4,X2)
                          & equalelemsP(X4)
                          & ssList(X4)
                          & frontsegP(X3,X4)
                          & neq(X2,X4) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

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

fof(f903,plain,
    ( ~ ssList(sK12)
    | nil = sK12
    | spl15_20 ),
    inference(resolution,[],[f885,f249]) ).

fof(f249,plain,
    ! [X0] :
      ( ssItem(sK14(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f178,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | ( cons(sK14(X0),sK13(X0)) = X0
        & ssItem(sK14(X0))
        & ssList(sK13(X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f104,f177,f176]) ).

fof(f176,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
     => ( ? [X2] :
            ( cons(X2,sK13(X0)) = X0
            & ssItem(X2) )
        & ssList(sK13(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f177,plain,
    ! [X0] :
      ( ? [X2] :
          ( cons(X2,sK13(X0)) = X0
          & ssItem(X2) )
     => ( cons(sK14(X0),sK13(X0)) = X0
        & ssItem(sK14(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f104,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) ) ),
    inference(flattening,[],[f103]) ).

fof(f103,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( ? [X1] :
            ( ? [X2] :
                ( cons(X2,X1) = X0
                & ssItem(X2) )
            & ssList(X1) )
        | nil = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).

fof(f885,plain,
    ( ~ ssItem(sK14(sK12))
    | spl15_20 ),
    inference(avatar_component_clause,[],[f883]) ).

fof(f883,plain,
    ( spl15_20
  <=> ssItem(sK14(sK12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).

fof(f902,plain,
    ( ~ spl15_20
    | ~ spl15_3
    | ~ spl15_15 ),
    inference(avatar_split_clause,[],[f877,f769,f282,f883]) ).

fof(f282,plain,
    ( spl15_3
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).

fof(f769,plain,
    ( spl15_15
  <=> nil = cons(sK14(sK12),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).

fof(f877,plain,
    ( ~ ssItem(sK14(sK12))
    | ~ spl15_3
    | ~ spl15_15 ),
    inference(subsumption_resolution,[],[f876,f283]) ).

fof(f283,plain,
    ( ssList(nil)
    | ~ spl15_3 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f876,plain,
    ( ~ ssItem(sK14(sK12))
    | ~ ssList(nil)
    | ~ spl15_15 ),
    inference(trivial_inequality_removal,[],[f867]) ).

fof(f867,plain,
    ( nil != nil
    | ~ ssList(nil)
    | ~ ssItem(sK14(sK12))
    | ~ spl15_15 ),
    inference(superposition,[],[f188,f771]) ).

fof(f771,plain,
    ( nil = cons(sK14(sK12),nil)
    | ~ spl15_15 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( cons(X1,X0) != X0
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) != X0
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) != X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).

fof(f857,plain,
    ( spl15_15
    | ~ spl15_3
    | spl15_12
    | ~ spl15_14 ),
    inference(avatar_split_clause,[],[f856,f761,f753,f282,f769]) ).

fof(f753,plain,
    ( spl15_12
  <=> neq(nil,cons(sK14(sK12),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).

fof(f761,plain,
    ( spl15_14
  <=> ssList(cons(sK14(sK12),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).

fof(f856,plain,
    ( nil = cons(sK14(sK12),nil)
    | ~ spl15_3
    | spl15_12
    | ~ spl15_14 ),
    inference(subsumption_resolution,[],[f855,f283]) ).

fof(f855,plain,
    ( nil = cons(sK14(sK12),nil)
    | ~ ssList(nil)
    | spl15_12
    | ~ spl15_14 ),
    inference(subsumption_resolution,[],[f854,f762]) ).

fof(f762,plain,
    ( ssList(cons(sK14(sK12),nil))
    | ~ spl15_14 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f854,plain,
    ( ~ ssList(cons(sK14(sK12),nil))
    | ~ ssList(nil)
    | nil = cons(sK14(sK12),nil)
    | spl15_12 ),
    inference(resolution,[],[f755,f195]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) ) ),
    inference(nnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) ) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

fof(f755,plain,
    ( ~ neq(nil,cons(sK14(sK12),nil))
    | spl15_12 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f821,plain,
    ( ~ spl15_1
    | spl15_6
    | ~ spl15_8 ),
    inference(avatar_contradiction_clause,[],[f820]) ).

fof(f820,plain,
    ( $false
    | ~ spl15_1
    | spl15_6
    | ~ spl15_8 ),
    inference(subsumption_resolution,[],[f819,f229]) ).

fof(f229,plain,
    ssList(sK11),
    inference(cnf_transformation,[],[f172]) ).

fof(f819,plain,
    ( ~ ssList(sK11)
    | ~ spl15_1
    | spl15_6
    | ~ spl15_8 ),
    inference(subsumption_resolution,[],[f813,f299]) ).

fof(f299,plain,
    ( nil != sK11
    | spl15_6 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f297,plain,
    ( spl15_6
  <=> nil = sK11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).

fof(f813,plain,
    ( nil = sK11
    | ~ ssList(sK11)
    | ~ spl15_1
    | ~ spl15_8 ),
    inference(resolution,[],[f804,f239]) ).

fof(f239,plain,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ( ( frontsegP(nil,X0)
          | nil != X0 )
        & ( nil = X0
          | ~ frontsegP(nil,X0) ) ) ),
    inference(nnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ( frontsegP(nil,X0)
      <=> nil = X0 ) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( frontsegP(nil,X0)
      <=> nil = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).

fof(f804,plain,
    ( frontsegP(nil,sK11)
    | ~ spl15_1
    | ~ spl15_8 ),
    inference(forward_demodulation,[],[f307,f275]) ).

fof(f275,plain,
    ( nil = sK12
    | ~ spl15_1 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f307,plain,
    ( frontsegP(sK12,sK11)
    | ~ spl15_8 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f306,plain,
    ( spl15_8
  <=> frontsegP(sK12,sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).

fof(f809,plain,
    ( ~ spl15_1
    | ~ spl15_2
    | ~ spl15_3 ),
    inference(avatar_contradiction_clause,[],[f808]) ).

fof(f808,plain,
    ( $false
    | ~ spl15_1
    | ~ spl15_2
    | ~ spl15_3 ),
    inference(subsumption_resolution,[],[f805,f283]) ).

fof(f805,plain,
    ( ~ ssList(nil)
    | ~ spl15_1
    | ~ spl15_2 ),
    inference(resolution,[],[f792,f271]) ).

fof(f271,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f261]) ).

fof(f261,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f194]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | X0 != X1
      | ~ neq(X0,X1)
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f792,plain,
    ( neq(nil,nil)
    | ~ spl15_1
    | ~ spl15_2 ),
    inference(backward_demodulation,[],[f279,f275]) ).

fof(f279,plain,
    ( neq(sK12,nil)
    | ~ spl15_2 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f277,plain,
    ( spl15_2
  <=> neq(sK12,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).

fof(f790,plain,
    ( spl15_1
    | spl15_13 ),
    inference(avatar_split_clause,[],[f789,f757,f273]) ).

fof(f757,plain,
    ( spl15_13
  <=> equalelemsP(cons(sK14(sK12),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).

fof(f789,plain,
    ( nil = sK12
    | spl15_13 ),
    inference(subsumption_resolution,[],[f788,f227]) ).

fof(f788,plain,
    ( ~ ssList(sK12)
    | nil = sK12
    | spl15_13 ),
    inference(resolution,[],[f787,f249]) ).

fof(f787,plain,
    ( ~ ssItem(sK14(sK12))
    | spl15_13 ),
    inference(resolution,[],[f759,f200]) ).

fof(f200,plain,
    ! [X0] :
      ( equalelemsP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | equalelemsP(cons(X0,nil)) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f73,axiom,
    ! [X0] :
      ( ssItem(X0)
     => equalelemsP(cons(X0,nil)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax73) ).

fof(f759,plain,
    ( ~ equalelemsP(cons(sK14(sK12),nil))
    | spl15_13 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f786,plain,
    ( spl15_1
    | ~ spl15_3
    | spl15_14 ),
    inference(avatar_split_clause,[],[f785,f761,f282,f273]) ).

fof(f785,plain,
    ( nil = sK12
    | ~ spl15_3
    | spl15_14 ),
    inference(subsumption_resolution,[],[f784,f227]) ).

fof(f784,plain,
    ( ~ ssList(sK12)
    | nil = sK12
    | ~ spl15_3
    | spl15_14 ),
    inference(resolution,[],[f783,f249]) ).

fof(f783,plain,
    ( ~ ssItem(sK14(sK12))
    | ~ spl15_3
    | spl15_14 ),
    inference(subsumption_resolution,[],[f782,f283]) ).

fof(f782,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sK14(sK12))
    | spl15_14 ),
    inference(resolution,[],[f763,f245]) ).

fof(f245,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssItem(X1)
          | ssList(cons(X1,X0)) )
      | ~ ssList(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(f763,plain,
    ( ~ ssList(cons(sK14(sK12),nil))
    | spl15_14 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f764,plain,
    ( ~ spl15_12
    | ~ spl15_13
    | spl15_1
    | ~ spl15_14
    | ~ spl15_6 ),
    inference(avatar_split_clause,[],[f751,f297,f761,f273,f757,f753]) ).

fof(f751,plain,
    ( ~ ssList(cons(sK14(sK12),nil))
    | nil = sK12
    | ~ equalelemsP(cons(sK14(sK12),nil))
    | ~ neq(nil,cons(sK14(sK12),nil))
    | ~ spl15_6 ),
    inference(subsumption_resolution,[],[f750,f227]) ).

fof(f750,plain,
    ( ~ ssList(sK12)
    | ~ ssList(cons(sK14(sK12),nil))
    | ~ neq(nil,cons(sK14(sK12),nil))
    | ~ equalelemsP(cons(sK14(sK12),nil))
    | nil = sK12
    | ~ spl15_6 ),
    inference(duplicate_literal_removal,[],[f742]) ).

fof(f742,plain,
    ( ~ neq(nil,cons(sK14(sK12),nil))
    | ~ ssList(cons(sK14(sK12),nil))
    | nil = sK12
    | ~ equalelemsP(cons(sK14(sK12),nil))
    | ~ ssList(cons(sK14(sK12),nil))
    | ~ ssList(sK12)
    | ~ spl15_6 ),
    inference(resolution,[],[f554,f355]) ).

fof(f355,plain,
    ( ! [X4] :
        ( ~ frontsegP(sK12,X4)
        | ~ neq(nil,X4)
        | ~ ssList(X4)
        | ~ equalelemsP(X4) )
    | ~ spl15_6 ),
    inference(forward_demodulation,[],[f354,f298]) ).

fof(f298,plain,
    ( nil = sK11
    | ~ spl15_6 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f354,plain,
    ( ! [X4] :
        ( ~ equalelemsP(X4)
        | ~ ssList(X4)
        | ~ frontsegP(sK12,X4)
        | ~ neq(sK11,X4) )
    | ~ spl15_6 ),
    inference(subsumption_resolution,[],[f349,f190]) ).

fof(f190,plain,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(X0,nil) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,axiom,
    ! [X0] :
      ( ssList(X0)
     => segmentP(X0,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).

fof(f349,plain,
    ( ! [X4] :
        ( ~ neq(sK11,X4)
        | ~ equalelemsP(X4)
        | ~ frontsegP(sK12,X4)
        | ~ ssList(X4)
        | ~ segmentP(X4,nil) )
    | ~ spl15_6 ),
    inference(backward_demodulation,[],[f220,f298]) ).

fof(f220,plain,
    ! [X4] :
      ( ~ segmentP(X4,sK11)
      | ~ ssList(X4)
      | ~ neq(sK11,X4)
      | ~ frontsegP(sK12,X4)
      | ~ equalelemsP(X4) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f554,plain,
    ! [X0] :
      ( frontsegP(X0,cons(sK14(X0),nil))
      | nil = X0
      | ~ ssList(X0)
      | ~ ssList(cons(sK14(X0),nil)) ),
    inference(subsumption_resolution,[],[f553,f249]) ).

fof(f553,plain,
    ! [X0] :
      ( frontsegP(X0,cons(sK14(X0),nil))
      | ~ ssList(X0)
      | nil = X0
      | ~ ssList(cons(sK14(X0),nil))
      | ~ ssItem(sK14(X0)) ),
    inference(subsumption_resolution,[],[f550,f248]) ).

fof(f248,plain,
    ! [X0] :
      ( ssList(sK13(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f550,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(cons(sK14(X0),nil))
      | ~ ssList(sK13(X0))
      | ~ ssItem(sK14(X0))
      | frontsegP(X0,cons(sK14(X0),nil))
      | ~ ssList(X0) ),
    inference(superposition,[],[f417,f250]) ).

fof(f250,plain,
    ! [X0] :
      ( cons(sK14(X0),sK13(X0)) = X0
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f178]) ).

fof(f417,plain,
    ! [X2,X3] :
      ( frontsegP(cons(X2,X3),cons(X2,nil))
      | ~ ssItem(X2)
      | ~ ssList(cons(X2,nil))
      | ~ ssList(X3) ),
    inference(duplicate_literal_removal,[],[f415]) ).

fof(f415,plain,
    ! [X2,X3] :
      ( ~ ssItem(X2)
      | ~ ssList(X3)
      | ~ ssList(cons(X2,nil))
      | frontsegP(cons(X2,X3),cons(X2,nil))
      | ~ ssList(X3) ),
    inference(superposition,[],[f410,f237]) ).

fof(f237,plain,
    ! [X0,X1] :
      ( cons(X1,X0) = app(cons(X1,nil),X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssItem(X1)
          | cons(X1,X0) = app(cons(X1,nil),X0) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) = app(cons(X1,nil),X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).

fof(f410,plain,
    ! [X3,X1] :
      ( frontsegP(app(X1,X3),X1)
      | ~ ssList(X1)
      | ~ ssList(X3) ),
    inference(subsumption_resolution,[],[f258,f243]) ).

fof(f243,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    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(f258,plain,
    ! [X3,X1] :
      ( ~ ssList(app(X1,X3))
      | frontsegP(app(X1,X3),X1)
      | ~ ssList(X3)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f180]) ).

fof(f180,plain,
    ! [X3,X0,X1] :
      ( frontsegP(X0,X1)
      | app(X1,X3) != X0
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ( app(X1,sK0(X0,X1)) = X0
                & ssList(sK0(X0,X1)) )
              | ~ frontsegP(X0,X1) )
            & ( frontsegP(X0,X1)
              | ! [X3] :
                  ( app(X1,X3) != X0
                  | ~ ssList(X3) ) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f145,f146]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( app(X1,X2) = X0
          & ssList(X2) )
     => ( app(X1,sK0(X0,X1)) = X0
        & ssList(sK0(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f145,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ? [X2] :
                  ( app(X1,X2) = X0
                  & ssList(X2) )
              | ~ frontsegP(X0,X1) )
            & ( frontsegP(X0,X1)
              | ! [X3] :
                  ( app(X1,X3) != X0
                  | ~ ssList(X3) ) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f144]) ).

fof(f144,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ? [X2] :
                  ( app(X1,X2) = X0
                  & ssList(X2) )
              | ~ frontsegP(X0,X1) )
            & ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) )
          <=> frontsegP(X0,X1) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f5]) ).

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

fof(f347,plain,
    ( spl15_6
    | ~ spl15_3
    | spl15_7 ),
    inference(avatar_split_clause,[],[f346,f302,f282,f297]) ).

fof(f302,plain,
    ( spl15_7
  <=> neq(sK11,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).

fof(f346,plain,
    ( nil = sK11
    | ~ spl15_3
    | spl15_7 ),
    inference(subsumption_resolution,[],[f345,f283]) ).

fof(f345,plain,
    ( nil = sK11
    | ~ ssList(nil)
    | spl15_7 ),
    inference(subsumption_resolution,[],[f338,f229]) ).

fof(f338,plain,
    ( ~ ssList(sK11)
    | nil = sK11
    | ~ ssList(nil)
    | spl15_7 ),
    inference(resolution,[],[f195,f304]) ).

fof(f304,plain,
    ( ~ neq(sK11,nil)
    | spl15_7 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f316,plain,
    spl15_8,
    inference(avatar_split_clause,[],[f226,f306]) ).

fof(f226,plain,
    frontsegP(sK12,sK11),
    inference(cnf_transformation,[],[f172]) ).

fof(f309,plain,
    ( spl15_1
    | ~ spl15_7
    | ~ spl15_8 ),
    inference(avatar_split_clause,[],[f253,f306,f302,f273]) ).

fof(f253,plain,
    ( ~ frontsegP(sK12,sK11)
    | ~ neq(sK11,nil)
    | nil = sK12 ),
    inference(definition_unfolding,[],[f224,f228,f225,f225,f228]) ).

fof(f225,plain,
    sK9 = sK11,
    inference(cnf_transformation,[],[f172]) ).

fof(f228,plain,
    sK10 = sK12,
    inference(cnf_transformation,[],[f172]) ).

fof(f224,plain,
    ( ~ frontsegP(sK10,sK9)
    | ~ neq(sK9,nil)
    | nil = sK10 ),
    inference(cnf_transformation,[],[f172]) ).

fof(f300,plain,
    ( ~ spl15_6
    | spl15_2 ),
    inference(avatar_split_clause,[],[f256,f277,f297]) ).

fof(f256,plain,
    ( neq(sK12,nil)
    | nil != sK11 ),
    inference(definition_unfolding,[],[f221,f228,f225]) ).

fof(f221,plain,
    ( neq(sK10,nil)
    | nil != sK9 ),
    inference(cnf_transformation,[],[f172]) ).

fof(f290,plain,
    spl15_3,
    inference(avatar_split_clause,[],[f242,f282]) ).

fof(f242,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWC099+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
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 18:35:50 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.46  % (30085)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)
% 0.18/0.46  % (30077)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)
% 0.18/0.47  % (30085)Instruction limit reached!
% 0.18/0.47  % (30085)------------------------------
% 0.18/0.47  % (30085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (30085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (30085)Termination reason: Unknown
% 0.18/0.48  % (30085)Termination phase: Function definition elimination
% 0.18/0.48  
% 0.18/0.48  % (30085)Memory used [KB]: 1791
% 0.18/0.48  % (30085)Time elapsed: 0.008 s
% 0.18/0.48  % (30085)Instructions burned: 8 (million)
% 0.18/0.48  % (30085)------------------------------
% 0.18/0.48  % (30085)------------------------------
% 0.18/0.50  % (30074)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)
% 0.18/0.51  % (30077)Instruction limit reached!
% 0.18/0.51  % (30077)------------------------------
% 0.18/0.51  % (30077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (30077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (30077)Termination reason: Unknown
% 0.18/0.51  % (30077)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (30077)Memory used [KB]: 6524
% 0.18/0.51  % (30077)Time elapsed: 0.101 s
% 0.18/0.51  % (30077)Instructions burned: 40 (million)
% 0.18/0.51  % (30077)------------------------------
% 0.18/0.51  % (30077)------------------------------
% 0.18/0.52  % (30084)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)
% 0.18/0.52  % (30084)Instruction limit reached!
% 0.18/0.52  % (30084)------------------------------
% 0.18/0.52  % (30084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (30084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (30084)Termination reason: Unknown
% 0.18/0.52  % (30084)Termination phase: Preprocessing 2
% 0.18/0.52  
% 0.18/0.52  % (30084)Memory used [KB]: 1535
% 0.18/0.52  % (30084)Time elapsed: 0.002 s
% 0.18/0.52  % (30084)Instructions burned: 3 (million)
% 0.18/0.52  % (30084)------------------------------
% 0.18/0.52  % (30084)------------------------------
% 0.18/0.52  % (30071)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)
% 0.18/0.52  % (30098)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)
% 0.18/0.52  % (30075)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)
% 0.18/0.52  % (30076)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)
% 0.18/0.52  % (30072)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)
% 0.18/0.52  % (30098)Instruction limit reached!
% 0.18/0.52  % (30098)------------------------------
% 0.18/0.52  % (30098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (30098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (30098)Termination reason: Unknown
% 0.18/0.53  % (30098)Termination phase: Function definition elimination
% 0.18/0.53  
% 0.18/0.53  % (30098)Memory used [KB]: 1791
% 0.18/0.53  % (30098)Time elapsed: 0.005 s
% 0.18/0.53  % (30098)Instructions burned: 8 (million)
% 0.18/0.53  % (30098)------------------------------
% 0.18/0.53  % (30098)------------------------------
% 0.18/0.53  % (30072)Instruction limit reached!
% 0.18/0.53  % (30072)------------------------------
% 0.18/0.53  % (30072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (30072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (30072)Termination reason: Unknown
% 0.18/0.53  % (30072)Termination phase: Preprocessing 3
% 0.18/0.53  
% 0.18/0.53  % (30072)Memory used [KB]: 1535
% 0.18/0.53  % (30072)Time elapsed: 0.003 s
% 0.18/0.53  % (30072)Instructions burned: 3 (million)
% 0.18/0.53  % (30072)------------------------------
% 0.18/0.53  % (30072)------------------------------
% 0.18/0.53  % (30073)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)
% 0.18/0.53  % (30092)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)
% 0.18/0.53  % (30087)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.53  % (30094)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)
% 0.18/0.53  % (30088)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)
% 0.18/0.53  % (30070)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.53  % (30074)Instruction limit reached!
% 0.18/0.53  % (30074)------------------------------
% 0.18/0.53  % (30074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (30074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (30074)Termination reason: Unknown
% 0.18/0.53  % (30074)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (30074)Memory used [KB]: 6268
% 0.18/0.53  % (30074)Time elapsed: 0.137 s
% 0.18/0.53  % (30074)Instructions burned: 13 (million)
% 0.18/0.53  % (30074)------------------------------
% 0.18/0.53  % (30074)------------------------------
% 0.18/0.53  % (30088)Instruction limit reached!
% 0.18/0.53  % (30088)------------------------------
% 0.18/0.53  % (30088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (30088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (30088)Termination reason: Unknown
% 0.18/0.53  % (30088)Termination phase: SInE selection
% 0.18/0.53  
% 0.18/0.53  % (30088)Memory used [KB]: 1407
% 0.18/0.53  % (30088)Time elapsed: 0.002 s
% 0.18/0.53  % (30088)Instructions burned: 2 (million)
% 0.18/0.53  % (30088)------------------------------
% 0.18/0.53  % (30088)------------------------------
% 0.18/0.53  % (30099)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)
% 0.18/0.53  % (30090)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)
% 0.18/0.53  % (30093)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)
% 0.18/0.53  % (30095)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)
% 0.18/0.54  % (30080)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)
% 0.18/0.54  % (30089)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)
% 0.18/0.54  % (30091)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)
% 0.18/0.54  % (30082)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)
% 0.18/0.54  % (30096)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)
% 0.18/0.54  % (30079)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)
% 0.18/0.54  % (30078)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)
% 0.18/0.54  % (30081)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)
% 0.18/0.54  % (30083)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)
% 0.18/0.54  % (30086)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)
% 0.18/0.55  % (30081)Instruction limit reached!
% 0.18/0.55  % (30081)------------------------------
% 0.18/0.55  % (30081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (30081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (30081)Termination reason: Unknown
% 0.18/0.55  % (30081)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (30081)Memory used [KB]: 6140
% 0.18/0.55  % (30081)Time elapsed: 0.157 s
% 0.18/0.55  % (30081)Instructions burned: 7 (million)
% 0.18/0.55  % (30081)------------------------------
% 0.18/0.55  % (30081)------------------------------
% 0.18/0.55  % (30097)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)
% 0.18/0.55  % (30071)Instruction limit reached!
% 0.18/0.55  % (30071)------------------------------
% 0.18/0.55  % (30071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (30087)Instruction limit reached!
% 0.18/0.55  % (30087)------------------------------
% 0.18/0.55  % (30087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (30087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (30087)Termination reason: Unknown
% 0.18/0.55  % (30075)Instruction limit reached!
% 0.18/0.55  % (30075)------------------------------
% 0.18/0.55  % (30075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (30087)Termination phase: Preprocessing 3
% 0.18/0.56  
% 0.18/0.56  % (30087)Memory used [KB]: 1663
% 0.18/0.56  % (30087)Time elapsed: 0.004 s
% 0.18/0.56  % (30087)Instructions burned: 4 (million)
% 0.18/0.56  % (30087)------------------------------
% 0.18/0.56  % (30087)------------------------------
% 0.18/0.56  % (30080)Instruction limit reached!
% 0.18/0.56  % (30080)------------------------------
% 0.18/0.56  % (30080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (30089)Instruction limit reached!
% 0.18/0.56  % (30089)------------------------------
% 0.18/0.56  % (30089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (30089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56  % (30089)Termination reason: Unknown
% 0.18/0.56  % (30089)Termination phase: Saturation
% 0.18/0.56  
% 0.18/0.56  % (30089)Memory used [KB]: 6396
% 0.18/0.56  % (30089)Time elapsed: 0.149 s
% 0.18/0.56  % (30089)Instructions burned: 12 (million)
% 0.18/0.56  % (30089)------------------------------
% 0.18/0.56  % (30089)------------------------------
% 0.18/0.56  % (30071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56  % (30071)Termination reason: Unknown
% 0.18/0.56  % (30071)Termination phase: Saturation
% 0.18/0.56  
% 0.18/0.56  % (30071)Memory used [KB]: 6396
% 0.18/0.56  % (30071)Time elapsed: 0.156 s
% 0.18/0.56  % (30071)Instructions burned: 15 (million)
% 0.18/0.56  % (30071)------------------------------
% 0.18/0.56  % (30071)------------------------------
% 0.18/0.57  % (30082)Instruction limit reached!
% 0.18/0.57  % (30082)------------------------------
% 0.18/0.57  % (30082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (30082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (30082)Termination reason: Unknown
% 0.18/0.57  % (30082)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (30082)Memory used [KB]: 2046
% 0.18/0.57  % (30082)Time elapsed: 0.162 s
% 0.18/0.57  % (30082)Instructions burned: 17 (million)
% 0.18/0.57  % (30082)------------------------------
% 0.18/0.57  % (30082)------------------------------
% 0.18/0.57  % (30080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (30080)Termination reason: Unknown
% 0.18/0.57  % (30080)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (30080)Memory used [KB]: 6268
% 0.18/0.57  % (30080)Time elapsed: 0.150 s
% 0.18/0.57  % (30080)Instructions burned: 13 (million)
% 0.18/0.57  % (30080)------------------------------
% 0.18/0.57  % (30080)------------------------------
% 0.18/0.57  % (30075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (30075)Termination reason: Unknown
% 0.18/0.57  % (30075)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (30075)Memory used [KB]: 1791
% 0.18/0.57  % (30075)Time elapsed: 0.136 s
% 0.18/0.57  % (30075)Instructions burned: 15 (million)
% 0.18/0.57  % (30075)------------------------------
% 0.18/0.57  % (30075)------------------------------
% 0.18/0.57  % (30097)Instruction limit reached!
% 0.18/0.57  % (30097)------------------------------
% 0.18/0.57  % (30097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58  % (30099)Instruction limit reached!
% 0.18/0.58  % (30099)------------------------------
% 0.18/0.58  % (30099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58  % (30076)First to succeed.
% 1.86/0.58  % (30090)Instruction limit reached!
% 1.86/0.58  % (30090)------------------------------
% 1.86/0.58  % (30090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.58  % (30100)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 1.86/0.59  % (30076)Refutation found. Thanks to Tanya!
% 1.86/0.59  % SZS status Theorem for theBenchmark
% 1.86/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.86/0.59  % (30076)------------------------------
% 1.86/0.59  % (30076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.59  % (30076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.59  % (30076)Termination reason: Refutation
% 1.86/0.59  
% 1.86/0.59  % (30076)Memory used [KB]: 6396
% 1.86/0.59  % (30076)Time elapsed: 0.168 s
% 1.86/0.59  % (30076)Instructions burned: 26 (million)
% 1.86/0.59  % (30076)------------------------------
% 1.86/0.59  % (30076)------------------------------
% 1.86/0.59  % (30069)Success in time 0.234 s
%------------------------------------------------------------------------------