TSTP Solution File: SWC022+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC022+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 : n029.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 18:38:16 EDT 2022

% Result   : Theorem 0.19s 0.57s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   38
% Syntax   : Number of formulae    :  147 (  11 unt;   0 def)
%            Number of atoms       :  686 ( 150 equ)
%            Maximal formula atoms :   38 (   4 avg)
%            Number of connectives :  905 ( 366   ~; 353   |; 125   &)
%                                         (  26 <=>;  35  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   28 (  26 usr;  23 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :  163 ( 125   !;  38   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1328,plain,
    $false,
    inference(avatar_sat_refutation,[],[f605,f627,f639,f640,f708,f722,f726,f728,f730,f733,f771,f797,f816,f868,f962,f1021,f1029,f1123,f1162,f1238,f1278,f1287,f1327]) ).

fof(f1327,plain,
    ( ~ spl51_6
    | spl51_27
    | ~ spl51_19
    | spl51_77 ),
    inference(avatar_split_clause,[],[f1317,f1284,f747,f788,f607]) ).

fof(f607,plain,
    ( spl51_6
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_6])]) ).

fof(f788,plain,
    ( spl51_27
  <=> nil = sK46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_27])]) ).

fof(f747,plain,
    ( spl51_19
  <=> ssList(sK46) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_19])]) ).

fof(f1284,plain,
    ( spl51_77
  <=> neq(sK46,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_77])]) ).

fof(f1317,plain,
    ( ~ ssList(sK46)
    | nil = sK46
    | ~ ssList(nil)
    | spl51_77 ),
    inference(resolution,[],[f1286,f455]) ).

fof(f455,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f288]) ).

fof(f288,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( X0 != X1
              | ~ neq(X0,X1) )
            & ( neq(X0,X1)
              | X0 = X1 ) ) ) ),
    inference(nnf_transformation,[],[f138]) ).

fof(f138,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( X0 != X1
          <=> neq(X0,X1) ) ) ),
    inference(ennf_transformation,[],[f15]) ).

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

fof(f1286,plain,
    ( ~ neq(sK46,nil)
    | spl51_77 ),
    inference(avatar_component_clause,[],[f1284]) ).

fof(f1287,plain,
    ( ~ spl51_73
    | ~ spl51_77
    | ~ spl51_19
    | ~ spl51_10
    | ~ spl51_76 ),
    inference(avatar_split_clause,[],[f1281,f1275,f625,f747,f1284,f1235]) ).

fof(f1235,plain,
    ( spl51_73
  <=> frontsegP(sK46,sK46) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_73])]) ).

fof(f625,plain,
    ( spl51_10
  <=> ! [X6] :
        ( ~ frontsegP(sK47,X6)
        | ~ ssList(X6)
        | ~ frontsegP(sK46,X6)
        | ~ neq(X6,nil) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_10])]) ).

fof(f1275,plain,
    ( spl51_76
  <=> frontsegP(sK47,sK46) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_76])]) ).

fof(f1281,plain,
    ( ~ ssList(sK46)
    | ~ neq(sK46,nil)
    | ~ frontsegP(sK46,sK46)
    | ~ spl51_10
    | ~ spl51_76 ),
    inference(resolution,[],[f1277,f626]) ).

fof(f626,plain,
    ( ! [X6] :
        ( ~ frontsegP(sK47,X6)
        | ~ ssList(X6)
        | ~ frontsegP(sK46,X6)
        | ~ neq(X6,nil) )
    | ~ spl51_10 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f1277,plain,
    ( frontsegP(sK47,sK46)
    | ~ spl51_76 ),
    inference(avatar_component_clause,[],[f1275]) ).

fof(f1278,plain,
    ( spl51_76
    | ~ spl51_43
    | ~ spl51_19
    | ~ spl51_14
    | ~ spl51_52 ),
    inference(avatar_split_clause,[],[f1268,f1084,f650,f747,f988,f1275]) ).

fof(f988,plain,
    ( spl51_43
  <=> ssList(tl(sK47)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_43])]) ).

fof(f650,plain,
    ( spl51_14
  <=> ssList(sK47) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_14])]) ).

fof(f1084,plain,
    ( spl51_52
  <=> app(sK46,tl(sK47)) = sK47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_52])]) ).

fof(f1268,plain,
    ( ~ ssList(sK47)
    | ~ ssList(sK46)
    | ~ ssList(tl(sK47))
    | frontsegP(sK47,sK46)
    | ~ spl51_52 ),
    inference(superposition,[],[f562,f1086]) ).

fof(f1086,plain,
    ( app(sK46,tl(sK47)) = sK47
    | ~ spl51_52 ),
    inference(avatar_component_clause,[],[f1084]) ).

fof(f562,plain,
    ! [X2,X1] :
      ( frontsegP(app(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(app(X1,X2)) ),
    inference(equality_resolution,[],[f459]) ).

fof(f459,plain,
    ! [X2,X0,X1] :
      ( frontsegP(X0,X1)
      | ~ ssList(X2)
      | app(X1,X2) != X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f292]) ).

fof(f292,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | app(X1,X2) != X0 ) )
            & ( ( ssList(sK29(X0,X1))
                & app(X1,sK29(X0,X1)) = X0 )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f290,f291]) ).

fof(f291,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ssList(X3)
          & app(X1,X3) = X0 )
     => ( ssList(sK29(X0,X1))
        & app(X1,sK29(X0,X1)) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f290,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | app(X1,X2) != X0 ) )
            & ( ? [X3] :
                  ( ssList(X3)
                  & app(X1,X3) = X0 )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f289]) ).

fof(f289,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | app(X1,X2) != X0 ) )
            & ( ? [X2] :
                  ( ssList(X2)
                  & app(X1,X2) = X0 )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f180]) ).

fof(f180,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & app(X1,X2) = X0 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f5]) ).

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

fof(f1238,plain,
    ( spl51_73
    | ~ spl51_6
    | ~ spl51_19
    | ~ spl51_60 ),
    inference(avatar_split_clause,[],[f1232,f1119,f747,f607,f1235]) ).

fof(f1119,plain,
    ( spl51_60
  <=> app(sK46,nil) = sK46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_60])]) ).

fof(f1232,plain,
    ( ~ ssList(sK46)
    | ~ ssList(nil)
    | frontsegP(sK46,sK46)
    | ~ spl51_60 ),
    inference(duplicate_literal_removal,[],[f1230]) ).

fof(f1230,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK46)
    | frontsegP(sK46,sK46)
    | ~ ssList(sK46)
    | ~ spl51_60 ),
    inference(superposition,[],[f562,f1121]) ).

fof(f1121,plain,
    ( app(sK46,nil) = sK46
    | ~ spl51_60 ),
    inference(avatar_component_clause,[],[f1119]) ).

fof(f1162,plain,
    ( ~ spl51_6
    | spl51_60
    | ~ spl51_3
    | ~ spl51_30
    | ~ spl51_48 ),
    inference(avatar_split_clause,[],[f1049,f1027,f813,f593,f1119,f607]) ).

fof(f593,plain,
    ( spl51_3
  <=> cons(hd(sK47),nil) = sK46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_3])]) ).

fof(f813,plain,
    ( spl51_30
  <=> hd(sK47) = hd(sK46) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_30])]) ).

fof(f1027,plain,
    ( spl51_48
  <=> ! [X2] :
        ( ~ ssList(X2)
        | cons(hd(sK46),X2) = app(sK46,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_48])]) ).

fof(f1049,plain,
    ( app(sK46,nil) = sK46
    | ~ ssList(nil)
    | ~ spl51_3
    | ~ spl51_30
    | ~ spl51_48 ),
    inference(superposition,[],[f860,f1028]) ).

fof(f1028,plain,
    ( ! [X2] :
        ( cons(hd(sK46),X2) = app(sK46,X2)
        | ~ ssList(X2) )
    | ~ spl51_48 ),
    inference(avatar_component_clause,[],[f1027]) ).

fof(f860,plain,
    ( cons(hd(sK46),nil) = sK46
    | ~ spl51_3
    | ~ spl51_30 ),
    inference(backward_demodulation,[],[f595,f815]) ).

fof(f815,plain,
    ( hd(sK47) = hd(sK46)
    | ~ spl51_30 ),
    inference(avatar_component_clause,[],[f813]) ).

fof(f595,plain,
    ( cons(hd(sK47),nil) = sK46
    | ~ spl51_3 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f1123,plain,
    ( spl51_52
    | ~ spl51_43
    | ~ spl51_39
    | ~ spl51_48 ),
    inference(avatar_split_clause,[],[f1048,f1027,f959,f988,f1084]) ).

fof(f959,plain,
    ( spl51_39
  <=> cons(hd(sK46),tl(sK47)) = sK47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_39])]) ).

fof(f1048,plain,
    ( ~ ssList(tl(sK47))
    | app(sK46,tl(sK47)) = sK47
    | ~ spl51_39
    | ~ spl51_48 ),
    inference(superposition,[],[f1028,f961]) ).

fof(f961,plain,
    ( cons(hd(sK46),tl(sK47)) = sK47
    | ~ spl51_39 ),
    inference(avatar_component_clause,[],[f959]) ).

fof(f1029,plain,
    ( spl51_48
    | ~ spl51_35
    | ~ spl51_3
    | ~ spl51_30 ),
    inference(avatar_split_clause,[],[f1023,f813,f593,f864,f1027]) ).

fof(f864,plain,
    ( spl51_35
  <=> ssItem(hd(sK46)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_35])]) ).

fof(f1023,plain,
    ( ! [X2] :
        ( ~ ssItem(hd(sK46))
        | ~ ssList(X2)
        | cons(hd(sK46),X2) = app(sK46,X2) )
    | ~ spl51_3
    | ~ spl51_30 ),
    inference(superposition,[],[f432,f860]) ).

fof(f432,plain,
    ! [X0,X1] :
      ( cons(X1,X0) = app(cons(X1,nil),X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f212]) ).

fof(f212,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(f1021,plain,
    ( spl51_18
    | ~ spl51_14
    | spl51_43 ),
    inference(avatar_split_clause,[],[f1020,f988,f650,f705]) ).

fof(f705,plain,
    ( spl51_18
  <=> nil = sK47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_18])]) ).

fof(f1020,plain,
    ( ~ ssList(sK47)
    | nil = sK47
    | spl51_43 ),
    inference(resolution,[],[f990,f421]) ).

fof(f421,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | ssList(tl(X0)) ),
    inference(flattening,[],[f113]) ).

fof(f113,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssList(tl(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).

fof(f990,plain,
    ( ~ ssList(tl(sK47))
    | spl51_43 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f962,plain,
    ( spl51_39
    | spl51_18
    | ~ spl51_14
    | ~ spl51_30 ),
    inference(avatar_split_clause,[],[f951,f813,f650,f705,f959]) ).

fof(f951,plain,
    ( ~ ssList(sK47)
    | nil = sK47
    | cons(hd(sK46),tl(sK47)) = sK47
    | ~ spl51_30 ),
    inference(superposition,[],[f412,f815]) ).

fof(f412,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | ~ ssList(X0)
      | nil = X0 ),
    inference(flattening,[],[f111]) ).

fof(f111,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f78,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => cons(hd(X0),tl(X0)) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).

fof(f868,plain,
    ( spl51_35
    | ~ spl51_5
    | ~ spl51_30 ),
    inference(avatar_split_clause,[],[f861,f813,f601,f864]) ).

fof(f601,plain,
    ( spl51_5
  <=> ssItem(hd(sK47)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_5])]) ).

fof(f861,plain,
    ( ssItem(hd(sK46))
    | ~ spl51_5
    | ~ spl51_30 ),
    inference(backward_demodulation,[],[f602,f815]) ).

fof(f602,plain,
    ( ssItem(hd(sK47))
    | ~ spl51_5 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f816,plain,
    ( ~ spl51_6
    | ~ spl51_5
    | spl51_30
    | ~ spl51_3 ),
    inference(avatar_split_clause,[],[f810,f593,f813,f601,f607]) ).

fof(f810,plain,
    ( hd(sK47) = hd(sK46)
    | ~ ssItem(hd(sK47))
    | ~ ssList(nil)
    | ~ spl51_3 ),
    inference(superposition,[],[f464,f595]) ).

fof(f464,plain,
    ! [X0,X1] :
      ( hd(cons(X1,X0)) = X1
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ! [X0] :
      ( ! [X1] :
          ( hd(cons(X1,X0)) = X1
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => hd(cons(X1,X0)) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).

fof(f797,plain,
    ( ~ spl51_27
    | ~ spl51_6
    | ~ spl51_5
    | ~ spl51_3 ),
    inference(avatar_split_clause,[],[f744,f593,f601,f607,f788]) ).

fof(f744,plain,
    ( ~ ssItem(hd(sK47))
    | ~ ssList(nil)
    | nil != sK46
    | ~ spl51_3 ),
    inference(superposition,[],[f414,f595]) ).

fof(f414,plain,
    ! [X0,X1] :
      ( nil != cons(X1,X0)
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f160,plain,
    ! [X0] :
      ( ! [X1] :
          ( nil != cons(X1,X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => nil != cons(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).

fof(f771,plain,
    ( spl51_19
    | ~ spl51_3
    | ~ spl51_4 ),
    inference(avatar_split_clause,[],[f734,f597,f593,f747]) ).

fof(f597,plain,
    ( spl51_4
  <=> ssList(cons(hd(sK47),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_4])]) ).

fof(f734,plain,
    ( ssList(sK46)
    | ~ spl51_3
    | ~ spl51_4 ),
    inference(backward_demodulation,[],[f598,f595]) ).

fof(f598,plain,
    ( ssList(cons(hd(sK47),nil))
    | ~ spl51_4 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f733,plain,
    ( ~ spl51_6
    | ~ spl51_16 ),
    inference(avatar_split_clause,[],[f732,f664,f607]) ).

fof(f664,plain,
    ( spl51_16
  <=> neq(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_16])]) ).

fof(f732,plain,
    ( ~ ssList(nil)
    | ~ spl51_16 ),
    inference(resolution,[],[f665,f578]) ).

fof(f578,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f561]) ).

fof(f561,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f456]) ).

fof(f456,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | X0 != X1
      | ~ neq(X0,X1) ),
    inference(cnf_transformation,[],[f288]) ).

fof(f665,plain,
    ( neq(nil,nil)
    | ~ spl51_16 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f730,plain,
    ( ~ spl51_14
    | spl51_18
    | spl51_5 ),
    inference(avatar_split_clause,[],[f729,f601,f705,f650]) ).

fof(f729,plain,
    ( nil = sK47
    | ~ ssList(sK47)
    | spl51_5 ),
    inference(resolution,[],[f603,f374]) ).

fof(f374,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f220]) ).

fof(f220,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    inference(flattening,[],[f219]) ).

fof(f219,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssItem(hd(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).

fof(f603,plain,
    ( ~ ssItem(hd(sK47))
    | spl51_5 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f728,plain,
    ( ~ spl51_6
    | ~ spl51_5
    | spl51_4 ),
    inference(avatar_split_clause,[],[f727,f597,f601,f607]) ).

fof(f727,plain,
    ( ~ ssItem(hd(sK47))
    | ~ ssList(nil)
    | spl51_4 ),
    inference(resolution,[],[f599,f503]) ).

fof(f503,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) )
      | ~ 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(f599,plain,
    ( ~ ssList(cons(hd(sK47),nil))
    | spl51_4 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f726,plain,
    spl51_14,
    inference(avatar_split_clause,[],[f544,f650]) ).

fof(f544,plain,
    ssList(sK47),
    inference(definition_unfolding,[],[f518,f519]) ).

fof(f519,plain,
    sK49 = sK47,
    inference(cnf_transformation,[],[f332]) ).

fof(f332,plain,
    ( ssList(sK48)
    & ( ( neq(sK47,nil)
        & ~ neq(sK49,nil) )
      | ( ! [X4] :
            ( sK48 = X4
            | ~ ssList(X4)
            | ! [X5] :
                ( hd(sK49) != X5
                | ~ ssItem(X5)
                | ~ neq(nil,sK49)
                | cons(X5,nil) != X4 ) )
        & neq(sK47,nil)
        & ! [X6] :
            ( ~ frontsegP(sK47,X6)
            | ~ frontsegP(sK46,X6)
            | ~ ssList(X6)
            | ~ neq(X6,nil) ) ) )
    & sK48 = sK46
    & sK49 = sK47
    & ssList(sK49)
    & ssList(sK47)
    & ssList(sK46) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK46,sK47,sK48,sK49])],[f126,f331,f330,f329,f328]) ).

fof(f328,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ( ( neq(X1,nil)
                        & ~ neq(X3,nil) )
                      | ( ! [X4] :
                            ( X2 = X4
                            | ~ ssList(X4)
                            | ! [X5] :
                                ( hd(X3) != X5
                                | ~ ssItem(X5)
                                | ~ neq(nil,X3)
                                | cons(X5,nil) != X4 ) )
                        & neq(X1,nil)
                        & ! [X6] :
                            ( ~ frontsegP(X1,X6)
                            | ~ frontsegP(X0,X6)
                            | ~ ssList(X6)
                            | ~ neq(X6,nil) ) ) )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) ) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ( ( neq(X1,nil)
                      & ~ neq(X3,nil) )
                    | ( ! [X4] :
                          ( X2 = X4
                          | ~ ssList(X4)
                          | ! [X5] :
                              ( hd(X3) != X5
                              | ~ ssItem(X5)
                              | ~ neq(nil,X3)
                              | cons(X5,nil) != X4 ) )
                      & neq(X1,nil)
                      & ! [X6] :
                          ( ~ frontsegP(X1,X6)
                          | ~ frontsegP(sK46,X6)
                          | ~ ssList(X6)
                          | ~ neq(X6,nil) ) ) )
                  & sK46 = X2
                  & X1 = X3
                  & ssList(X3) ) )
          & ssList(X1) )
      & ssList(sK46) ) ),
    introduced(choice_axiom,[]) ).

fof(f329,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( ( ( neq(X1,nil)
                    & ~ neq(X3,nil) )
                  | ( ! [X4] :
                        ( X2 = X4
                        | ~ ssList(X4)
                        | ! [X5] :
                            ( hd(X3) != X5
                            | ~ ssItem(X5)
                            | ~ neq(nil,X3)
                            | cons(X5,nil) != X4 ) )
                    & neq(X1,nil)
                    & ! [X6] :
                        ( ~ frontsegP(X1,X6)
                        | ~ frontsegP(sK46,X6)
                        | ~ ssList(X6)
                        | ~ neq(X6,nil) ) ) )
                & sK46 = X2
                & X1 = X3
                & ssList(X3) ) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( ( ( neq(sK47,nil)
                  & ~ neq(X3,nil) )
                | ( ! [X4] :
                      ( X2 = X4
                      | ~ ssList(X4)
                      | ! [X5] :
                          ( hd(X3) != X5
                          | ~ ssItem(X5)
                          | ~ neq(nil,X3)
                          | cons(X5,nil) != X4 ) )
                  & neq(sK47,nil)
                  & ! [X6] :
                      ( ~ frontsegP(sK47,X6)
                      | ~ frontsegP(sK46,X6)
                      | ~ ssList(X6)
                      | ~ neq(X6,nil) ) ) )
              & sK46 = X2
              & sK47 = X3
              & ssList(X3) ) )
      & ssList(sK47) ) ),
    introduced(choice_axiom,[]) ).

fof(f330,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( ( ( neq(sK47,nil)
                & ~ neq(X3,nil) )
              | ( ! [X4] :
                    ( X2 = X4
                    | ~ ssList(X4)
                    | ! [X5] :
                        ( hd(X3) != X5
                        | ~ ssItem(X5)
                        | ~ neq(nil,X3)
                        | cons(X5,nil) != X4 ) )
                & neq(sK47,nil)
                & ! [X6] :
                    ( ~ frontsegP(sK47,X6)
                    | ~ frontsegP(sK46,X6)
                    | ~ ssList(X6)
                    | ~ neq(X6,nil) ) ) )
            & sK46 = X2
            & sK47 = X3
            & ssList(X3) ) )
   => ( ssList(sK48)
      & ? [X3] :
          ( ( ( neq(sK47,nil)
              & ~ neq(X3,nil) )
            | ( ! [X4] :
                  ( sK48 = X4
                  | ~ ssList(X4)
                  | ! [X5] :
                      ( hd(X3) != X5
                      | ~ ssItem(X5)
                      | ~ neq(nil,X3)
                      | cons(X5,nil) != X4 ) )
              & neq(sK47,nil)
              & ! [X6] :
                  ( ~ frontsegP(sK47,X6)
                  | ~ frontsegP(sK46,X6)
                  | ~ ssList(X6)
                  | ~ neq(X6,nil) ) ) )
          & sK48 = sK46
          & sK47 = X3
          & ssList(X3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f331,plain,
    ( ? [X3] :
        ( ( ( neq(sK47,nil)
            & ~ neq(X3,nil) )
          | ( ! [X4] :
                ( sK48 = X4
                | ~ ssList(X4)
                | ! [X5] :
                    ( hd(X3) != X5
                    | ~ ssItem(X5)
                    | ~ neq(nil,X3)
                    | cons(X5,nil) != X4 ) )
            & neq(sK47,nil)
            & ! [X6] :
                ( ~ frontsegP(sK47,X6)
                | ~ frontsegP(sK46,X6)
                | ~ ssList(X6)
                | ~ neq(X6,nil) ) ) )
        & sK48 = sK46
        & sK47 = X3
        & ssList(X3) )
   => ( ( ( neq(sK47,nil)
          & ~ neq(sK49,nil) )
        | ( ! [X4] :
              ( sK48 = X4
              | ~ ssList(X4)
              | ! [X5] :
                  ( hd(sK49) != X5
                  | ~ ssItem(X5)
                  | ~ neq(nil,sK49)
                  | cons(X5,nil) != X4 ) )
          & neq(sK47,nil)
          & ! [X6] :
              ( ~ frontsegP(sK47,X6)
              | ~ frontsegP(sK46,X6)
              | ~ ssList(X6)
              | ~ neq(X6,nil) ) ) )
      & sK48 = sK46
      & sK49 = sK47
      & ssList(sK49) ) ),
    introduced(choice_axiom,[]) ).

fof(f126,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ( ( neq(X1,nil)
                      & ~ neq(X3,nil) )
                    | ( ! [X4] :
                          ( X2 = X4
                          | ~ ssList(X4)
                          | ! [X5] :
                              ( hd(X3) != X5
                              | ~ ssItem(X5)
                              | ~ neq(nil,X3)
                              | cons(X5,nil) != X4 ) )
                      & neq(X1,nil)
                      & ! [X6] :
                          ( ~ frontsegP(X1,X6)
                          | ~ frontsegP(X0,X6)
                          | ~ ssList(X6)
                          | ~ neq(X6,nil) ) ) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) ) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f125]) ).

fof(f125,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X0 = X2
                  & X1 = X3
                  & ( ( neq(X1,nil)
                      & ~ neq(X3,nil) )
                    | ( ! [X4] :
                          ( X2 = X4
                          | ~ ssList(X4)
                          | ! [X5] :
                              ( hd(X3) != X5
                              | ~ ssItem(X5)
                              | ~ neq(nil,X3)
                              | cons(X5,nil) != X4 ) )
                      & neq(X1,nil)
                      & ! [X6] :
                          ( ~ frontsegP(X1,X6)
                          | ~ frontsegP(X0,X6)
                          | ~ ssList(X6)
                          | ~ neq(X6,nil) ) ) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( X0 != X2
                      | X1 != X3
                      | ( ( ? [X4] :
                              ( ? [X5] :
                                  ( hd(X3) = X5
                                  & ssItem(X5)
                                  & neq(nil,X3)
                                  & cons(X5,nil) = X4 )
                              & ssList(X4)
                              & X2 != X4 )
                          | ? [X6] :
                              ( neq(X6,nil)
                              & frontsegP(X1,X6)
                              & ssList(X6)
                              & frontsegP(X0,X6) )
                          | ~ neq(X1,nil) )
                        & ( neq(X3,nil)
                          | ~ neq(X1,nil) ) ) ) ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( ( ? [X5] :
                              ( ssList(X5)
                              & X2 != X5
                              & ? [X6] :
                                  ( ssItem(X6)
                                  & hd(X3) = X6
                                  & cons(X6,nil) = X5
                                  & neq(nil,X3) ) )
                          | ? [X4] :
                              ( frontsegP(X1,X4)
                              & neq(X4,nil)
                              & frontsegP(X0,X4)
                              & ssList(X4) )
                          | ~ neq(X1,nil) )
                        & ( neq(X3,nil)
                          | ~ 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)
                 => ( ( ( ? [X5] :
                            ( ssList(X5)
                            & X2 != X5
                            & ? [X6] :
                                ( ssItem(X6)
                                & hd(X3) = X6
                                & cons(X6,nil) = X5
                                & neq(nil,X3) ) )
                        | ? [X4] :
                            ( frontsegP(X1,X4)
                            & neq(X4,nil)
                            & frontsegP(X0,X4)
                            & ssList(X4) )
                        | ~ neq(X1,nil) )
                      & ( neq(X3,nil)
                        | ~ neq(X1,nil) ) )
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f518,plain,
    ssList(sK49),
    inference(cnf_transformation,[],[f332]) ).

fof(f722,plain,
    ( spl51_16
    | ~ spl51_2
    | ~ spl51_18 ),
    inference(avatar_split_clause,[],[f714,f705,f589,f664]) ).

fof(f589,plain,
    ( spl51_2
  <=> neq(sK47,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_2])]) ).

fof(f714,plain,
    ( neq(nil,nil)
    | ~ spl51_2
    | ~ spl51_18 ),
    inference(backward_demodulation,[],[f591,f707]) ).

fof(f707,plain,
    ( nil = sK47
    | ~ spl51_18 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f591,plain,
    ( neq(sK47,nil)
    | ~ spl51_2 ),
    inference(avatar_component_clause,[],[f589]) ).

fof(f708,plain,
    ( ~ spl51_14
    | ~ spl51_6
    | spl51_18
    | spl51_1 ),
    inference(avatar_split_clause,[],[f697,f585,f705,f607,f650]) ).

fof(f585,plain,
    ( spl51_1
  <=> neq(nil,sK47) ),
    introduced(avatar_definition,[new_symbols(naming,[spl51_1])]) ).

fof(f697,plain,
    ( nil = sK47
    | ~ ssList(nil)
    | ~ ssList(sK47)
    | spl51_1 ),
    inference(resolution,[],[f455,f587]) ).

fof(f587,plain,
    ( ~ neq(nil,sK47)
    | spl51_1 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f640,plain,
    spl51_6,
    inference(avatar_split_clause,[],[f375,f607]) ).

fof(f375,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f639,plain,
    ( ~ spl51_5
    | ~ spl51_2
    | spl51_3
    | ~ spl51_1
    | ~ spl51_4 ),
    inference(avatar_split_clause,[],[f574,f597,f585,f593,f589,f601]) ).

fof(f574,plain,
    ( ~ ssList(cons(hd(sK47),nil))
    | ~ neq(nil,sK47)
    | cons(hd(sK47),nil) = sK46
    | ~ neq(sK47,nil)
    | ~ ssItem(hd(sK47)) ),
    inference(equality_resolution,[],[f573]) ).

fof(f573,plain,
    ! [X4] :
      ( ~ neq(sK47,nil)
      | sK46 = X4
      | ~ ssList(X4)
      | ~ ssItem(hd(sK47))
      | ~ neq(nil,sK47)
      | cons(hd(sK47),nil) != X4 ),
    inference(equality_resolution,[],[f541]) ).

fof(f541,plain,
    ! [X4,X5] :
      ( ~ neq(sK47,nil)
      | sK46 = X4
      | ~ ssList(X4)
      | hd(sK47) != X5
      | ~ ssItem(X5)
      | ~ neq(nil,sK47)
      | cons(X5,nil) != X4 ),
    inference(definition_unfolding,[],[f523,f519,f520,f519,f519]) ).

fof(f520,plain,
    sK48 = sK46,
    inference(cnf_transformation,[],[f332]) ).

fof(f523,plain,
    ! [X4,X5] :
      ( ~ neq(sK49,nil)
      | sK48 = X4
      | ~ ssList(X4)
      | hd(sK49) != X5
      | ~ ssItem(X5)
      | ~ neq(nil,sK49)
      | cons(X5,nil) != X4 ),
    inference(cnf_transformation,[],[f332]) ).

fof(f627,plain,
    ( ~ spl51_2
    | spl51_10 ),
    inference(avatar_split_clause,[],[f543,f625,f589]) ).

fof(f543,plain,
    ! [X6] :
      ( ~ frontsegP(sK47,X6)
      | ~ neq(X6,nil)
      | ~ frontsegP(sK46,X6)
      | ~ neq(sK47,nil)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f521,f519]) ).

fof(f521,plain,
    ! [X6] :
      ( ~ neq(sK49,nil)
      | ~ frontsegP(sK47,X6)
      | ~ frontsegP(sK46,X6)
      | ~ ssList(X6)
      | ~ neq(X6,nil) ),
    inference(cnf_transformation,[],[f332]) ).

fof(f605,plain,
    spl51_2,
    inference(avatar_split_clause,[],[f582,f589]) ).

fof(f582,plain,
    neq(sK47,nil),
    inference(duplicate_literal_removal,[],[f525]) ).

fof(f525,plain,
    ( neq(sK47,nil)
    | neq(sK47,nil) ),
    inference(cnf_transformation,[],[f332]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWC022+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13  % 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 : n029.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 18:08:12 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.48  % (13439)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)
% 0.19/0.48  % (13431)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  % (13447)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)
% 0.19/0.52  % (13446)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)
% 0.19/0.52  % (13430)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)
% 0.19/0.53  % (13423)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.53  % (13449)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (13424)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53  % (13451)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  % (13445)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)
% 0.19/0.53  % (13425)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)
% 0.19/0.53  % (13425)Instruction limit reached!
% 0.19/0.53  % (13425)------------------------------
% 0.19/0.53  % (13425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (13425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (13425)Termination reason: Unknown
% 0.19/0.53  % (13425)Termination phase: Preprocessing 3
% 0.19/0.53  
% 0.19/0.53  % (13425)Memory used [KB]: 1535
% 0.19/0.53  % (13425)Time elapsed: 0.003 s
% 0.19/0.53  % (13425)Instructions burned: 3 (million)
% 0.19/0.53  % (13425)------------------------------
% 0.19/0.53  % (13425)------------------------------
% 0.19/0.53  % (13426)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  % (13428)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)
% 0.19/0.53  % (13427)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  % (13432)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  % (13437)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)
% 0.19/0.54  % (13437)Instruction limit reached!
% 0.19/0.54  % (13437)------------------------------
% 0.19/0.54  % (13437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (13437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (13437)Termination reason: Unknown
% 0.19/0.54  % (13437)Termination phase: Preprocessing 3
% 0.19/0.54  
% 0.19/0.54  % (13437)Memory used [KB]: 1663
% 0.19/0.54  % (13437)Time elapsed: 0.004 s
% 0.19/0.54  % (13437)Instructions burned: 4 (million)
% 0.19/0.54  % (13437)------------------------------
% 0.19/0.54  % (13437)------------------------------
% 0.19/0.54  % (13431)Instruction limit reached!
% 0.19/0.54  % (13431)------------------------------
% 0.19/0.54  % (13431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (13431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (13431)Termination reason: Unknown
% 0.19/0.54  % (13431)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (13431)Memory used [KB]: 6908
% 0.19/0.54  % (13431)Time elapsed: 0.133 s
% 0.19/0.54  % (13431)Instructions burned: 49 (million)
% 0.19/0.54  % (13431)------------------------------
% 0.19/0.54  % (13431)------------------------------
% 0.19/0.54  % (13441)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)
% 0.19/0.54  % (13441)Instruction limit reached!
% 0.19/0.54  % (13441)------------------------------
% 0.19/0.54  % (13441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (13441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (13441)Termination reason: Unknown
% 0.19/0.54  % (13441)Termination phase: SInE selection
% 0.19/0.54  
% 0.19/0.54  % (13441)Memory used [KB]: 1407
% 0.19/0.54  % (13441)Time elapsed: 0.002 s
% 0.19/0.54  % (13441)Instructions burned: 2 (million)
% 0.19/0.54  % (13441)------------------------------
% 0.19/0.54  % (13441)------------------------------
% 0.19/0.54  % (13433)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)
% 0.19/0.55  % (13442)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)
% 0.19/0.55  % (13435)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)
% 0.19/0.55  % (13439)Instruction limit reached!
% 0.19/0.55  % (13439)------------------------------
% 0.19/0.55  % (13439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (13439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (13439)Termination reason: Unknown
% 0.19/0.55  % (13439)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (13439)Memory used [KB]: 6908
% 0.19/0.55  % (13439)Time elapsed: 0.130 s
% 0.19/0.55  % (13439)Instructions burned: 50 (million)
% 0.19/0.55  % (13439)------------------------------
% 0.19/0.55  % (13439)------------------------------
% 0.19/0.55  % (13438)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55  % (13443)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)
% 0.19/0.55  % (13444)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)
% 0.19/0.55  % (13448)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)
% 0.19/0.55  % (13429)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)
% 0.19/0.55  % (13434)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)
% 0.19/0.55  % (13452)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)
% 0.19/0.55  % (13450)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)
% 0.19/0.56  % (13451)Instruction limit reached!
% 0.19/0.56  % (13451)------------------------------
% 0.19/0.56  % (13451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (13451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (13451)Termination reason: Unknown
% 0.19/0.56  % (13451)Termination phase: Function definition elimination
% 0.19/0.56  
% 0.19/0.56  % (13451)Memory used [KB]: 1791
% 0.19/0.56  % (13451)Time elapsed: 0.006 s
% 0.19/0.56  % (13451)Instructions burned: 8 (million)
% 0.19/0.56  % (13451)------------------------------
% 0.19/0.56  % (13451)------------------------------
% 0.19/0.56  % (13424)Instruction limit reached!
% 0.19/0.56  % (13424)------------------------------
% 0.19/0.56  % (13424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (13424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (13424)Termination reason: Unknown
% 0.19/0.56  % (13424)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (13424)Memory used [KB]: 6396
% 0.19/0.56  % (13424)Time elapsed: 0.151 s
% 0.19/0.56  % (13424)Instructions burned: 13 (million)
% 0.19/0.56  % (13424)------------------------------
% 0.19/0.56  % (13424)------------------------------
% 0.19/0.56  % (13427)Instruction limit reached!
% 0.19/0.56  % (13427)------------------------------
% 0.19/0.56  % (13427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (13427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (13427)Termination reason: Unknown
% 0.19/0.56  % (13427)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (13427)Memory used [KB]: 6268
% 0.19/0.56  % (13427)Time elapsed: 0.159 s
% 0.19/0.56  % (13427)Instructions burned: 13 (million)
% 0.19/0.56  % (13427)------------------------------
% 0.19/0.56  % (13427)------------------------------
% 0.19/0.56  % (13428)Instruction limit reached!
% 0.19/0.56  % (13428)------------------------------
% 0.19/0.56  % (13428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (13428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (13428)Termination reason: Unknown
% 0.19/0.56  % (13428)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (13428)Memory used [KB]: 1663
% 0.19/0.56  % (13428)Time elapsed: 0.161 s
% 0.19/0.56  % (13428)Instructions burned: 15 (million)
% 0.19/0.56  % (13428)------------------------------
% 0.19/0.56  % (13428)------------------------------
% 0.19/0.56  % (13436)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)
% 0.19/0.56  % (13440)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.57  % (13440)Instruction limit reached!
% 0.19/0.57  % (13440)------------------------------
% 0.19/0.57  % (13440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (13440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (13440)Termination reason: Unknown
% 0.19/0.57  % (13440)Termination phase: Preprocessing 3
% 0.19/0.57  
% 0.19/0.57  % (13440)Memory used [KB]: 1663
% 0.19/0.57  % (13440)Time elapsed: 0.004 s
% 0.19/0.57  % (13440)Instructions burned: 4 (million)
% 0.19/0.57  % (13440)------------------------------
% 0.19/0.57  % (13440)------------------------------
% 0.19/0.57  % (13445)First to succeed.
% 0.19/0.57  % (13433)Instruction limit reached!
% 0.19/0.57  % (13433)------------------------------
% 0.19/0.57  % (13433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (13433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (13433)Termination reason: Unknown
% 0.19/0.57  % (13433)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (13433)Memory used [KB]: 6140
% 0.19/0.57  % (13433)Time elapsed: 0.178 s
% 0.19/0.57  % (13433)Instructions burned: 12 (million)
% 0.19/0.57  % (13433)------------------------------
% 0.19/0.57  % (13433)------------------------------
% 0.19/0.57  % (13445)Refutation found. Thanks to Tanya!
% 0.19/0.57  % SZS status Theorem for theBenchmark
% 0.19/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57  % (13445)------------------------------
% 0.19/0.57  % (13445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (13445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (13445)Termination reason: Refutation
% 0.19/0.57  
% 0.19/0.57  % (13445)Memory used [KB]: 6780
% 0.19/0.57  % (13445)Time elapsed: 0.106 s
% 0.19/0.57  % (13445)Instructions burned: 22 (million)
% 0.19/0.57  % (13445)------------------------------
% 0.19/0.57  % (13445)------------------------------
% 0.19/0.57  % (13422)Success in time 0.216 s
%------------------------------------------------------------------------------