TSTP Solution File: DAT029_1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : DAT029_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n027.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 : Mon Jun 24 05:51:37 EDT 2024

% Result   : Theorem 3.58s 0.92s
% Output   : Refutation 3.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   75
% Syntax   : Number of formulae    :  169 (  52 unt;   9 typ;   0 def)
%            Number of atoms       :  411 (  79 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  398 ( 147   ~; 138   |;  50   &)
%                                         (  44 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number arithmetic     :  610 (  73 atm; 205 fun; 129 num; 203 var)
%            Number of types       :    3 (   1 usr;   1 ari)
%            Number of type conns  :    7 (   4   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :   45 (  41 usr;  41 prp; 0-2 aty)
%            Number of functors    :   15 (   7 usr;   8 con; 0-2 aty)
%            Number of variables   :  245 ( 221   !;  24   ?; 245   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    collection: $tType ).

tff(func_def_0,type,
    empty: collection ).

tff(func_def_1,type,
    add: ( $int * collection ) > collection ).

tff(func_def_2,type,
    remove: ( $int * collection ) > collection ).

tff(func_def_11,type,
    sK0: collection ).

tff(func_def_12,type,
    sK1: collection ).

tff(func_def_13,type,
    sK2: $int ).

tff(func_def_14,type,
    sK3: $int > $int ).

tff(pred_def_1,type,
    in: ( $int * collection ) > $o ).

tff(f258,plain,
    $false,
    inference(avatar_smt_refutation,[],[f66,f70,f74,f78,f82,f86,f90,f94,f98,f102,f106,f110,f114,f118,f122,f126,f130,f134,f138,f143,f148,f152,f156,f160,f164,f168,f172,f176,f180,f184,f196,f202,f208,f219,f226,f235,f249,f253,f257]) ).

tff(f257,plain,
    ( spl4_40
    | ~ spl4_27
    | ~ spl4_36 ),
    inference(avatar_split_clause,[],[f241,f224,f170,f255]) ).

tff(f255,plain,
    ( spl4_40
  <=> ! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_40])]) ).

tff(f170,plain,
    ( spl4_27
  <=> ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).

tff(f224,plain,
    ( spl4_36
  <=> ! [X0: $int] : ( 0 = $uminus($sum($uminus(X0),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_36])]) ).

tff(f241,plain,
    ( ! [X0: $int] : ( 0 = $sum($uminus(X0),X0) )
    | ~ spl4_27
    | ~ spl4_36 ),
    inference(evaluation,[],[f240]) ).

tff(f240,plain,
    ( ! [X0: $int] : ( 0 = $sum($sum($uminus(X0),X0),0) )
    | ~ spl4_27
    | ~ spl4_36 ),
    inference(superposition,[],[f171,f225]) ).

tff(f225,plain,
    ( ! [X0: $int] : ( 0 = $uminus($sum($uminus(X0),X0)) )
    | ~ spl4_36 ),
    inference(avatar_component_clause,[],[f224]) ).

tff(f171,plain,
    ( ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) )
    | ~ spl4_27 ),
    inference(avatar_component_clause,[],[f170]) ).

tff(f253,plain,
    ( spl4_39
    | ~ spl4_28
    | ~ spl4_36 ),
    inference(avatar_split_clause,[],[f243,f224,f174,f251]) ).

tff(f251,plain,
    ( spl4_39
  <=> ! [X0: $int,X1: $int] : ( $uminus(X1) = $uminus($sum(X1,$sum($uminus(X0),X0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_39])]) ).

tff(f174,plain,
    ( spl4_28
  <=> ! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).

tff(f243,plain,
    ( ! [X0: $int,X1: $int] : ( $uminus(X1) = $uminus($sum(X1,$sum($uminus(X0),X0))) )
    | ~ spl4_28
    | ~ spl4_36 ),
    inference(evaluation,[],[f239]) ).

tff(f239,plain,
    ( ! [X0: $int,X1: $int] : ( $uminus($sum(X1,$sum($uminus(X0),X0))) = $sum(0,$uminus(X1)) )
    | ~ spl4_28
    | ~ spl4_36 ),
    inference(superposition,[],[f175,f225]) ).

tff(f175,plain,
    ( ! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) )
    | ~ spl4_28 ),
    inference(avatar_component_clause,[],[f174]) ).

tff(f249,plain,
    ( spl4_38
    | ~ spl4_28
    | ~ spl4_36 ),
    inference(avatar_split_clause,[],[f245,f224,f174,f247]) ).

tff(f247,plain,
    ( spl4_38
  <=> ! [X0: $int,X1: $int] : ( $uminus(X1) = $uminus($sum($sum($uminus(X0),X0),X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_38])]) ).

tff(f245,plain,
    ( ! [X0: $int,X1: $int] : ( $uminus(X1) = $uminus($sum($sum($uminus(X0),X0),X1)) )
    | ~ spl4_28
    | ~ spl4_36 ),
    inference(evaluation,[],[f238]) ).

tff(f238,plain,
    ( ! [X0: $int,X1: $int] : ( $uminus($sum($sum($uminus(X0),X0),X1)) = $sum($uminus(X1),0) )
    | ~ spl4_28
    | ~ spl4_36 ),
    inference(superposition,[],[f175,f225]) ).

tff(f235,plain,
    ( spl4_37
    | ~ spl4_9
    | ~ spl4_23 ),
    inference(avatar_split_clause,[],[f230,f154,f96,f233]) ).

tff(f233,plain,
    ( spl4_37
  <=> ! [X0: $int,X1: $int] :
        ( ( 0 != $product(X0,X1) )
        | ( 0 = X1 )
        | ( 0 = X0 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_37])]) ).

tff(f96,plain,
    ( spl4_9
  <=> ! [X0: $int] : ( 0 = $product(X0,0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).

tff(f154,plain,
    ( spl4_23
  <=> ! [X2: $int,X0: $int,X3: $int] :
        ( ( 0 = X0 )
        | ( X2 = X3 )
        | ( $product(X0,X2) != $product(X0,X3) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).

tff(f230,plain,
    ( ! [X0: $int,X1: $int] :
        ( ( 0 != $product(X0,X1) )
        | ( 0 = X1 )
        | ( 0 = X0 ) )
    | ~ spl4_9
    | ~ spl4_23 ),
    inference(superposition,[],[f155,f97]) ).

tff(f97,plain,
    ( ! [X0: $int] : ( 0 = $product(X0,0) )
    | ~ spl4_9 ),
    inference(avatar_component_clause,[],[f96]) ).

tff(f155,plain,
    ( ! [X2: $int,X3: $int,X0: $int] :
        ( ( $product(X0,X2) != $product(X0,X3) )
        | ( X2 = X3 )
        | ( 0 = X0 ) )
    | ~ spl4_23 ),
    inference(avatar_component_clause,[],[f154]) ).

tff(f226,plain,
    ( spl4_36
    | ~ spl4_27
    | ~ spl4_28 ),
    inference(avatar_split_clause,[],[f221,f174,f170,f224]) ).

tff(f221,plain,
    ( ! [X0: $int] : ( 0 = $uminus($sum($uminus(X0),X0)) )
    | ~ spl4_27
    | ~ spl4_28 ),
    inference(superposition,[],[f175,f171]) ).

tff(f219,plain,
    ( spl4_34
    | ~ spl4_35
    | ~ spl4_5
    | ~ spl4_9 ),
    inference(avatar_split_clause,[],[f210,f96,f80,f216,f212]) ).

tff(f212,plain,
    ( spl4_34
  <=> $less(0,$uminus($product(5,sK3(0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_34])]) ).

tff(f216,plain,
    ( spl4_35
  <=> in(0,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_35])]) ).

tff(f80,plain,
    ( spl4_5
  <=> ! [X4: $int] :
        ( $less(0,$sum($product(2,X4),$uminus($product(5,sK3(X4)))))
        | ~ in(X4,sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

tff(f210,plain,
    ( $less(0,$uminus($product(5,sK3(0))))
    | ~ in(0,sK0)
    | ~ spl4_5
    | ~ spl4_9 ),
    inference(evaluation,[],[f209]) ).

tff(f209,plain,
    ( ~ in(0,sK0)
    | $less(0,$sum(0,$uminus($product(5,sK3(0)))))
    | ~ spl4_5
    | ~ spl4_9 ),
    inference(superposition,[],[f81,f97]) ).

tff(f81,plain,
    ( ! [X4: $int] :
        ( $less(0,$sum($product(2,X4),$uminus($product(5,sK3(X4)))))
        | ~ in(X4,sK0) )
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f80]) ).

tff(f208,plain,
    ( spl4_33
    | ~ spl4_22
    | ~ spl4_31 ),
    inference(avatar_split_clause,[],[f203,f193,f150,f205]) ).

tff(f205,plain,
    ( spl4_33
  <=> $less(0,sK3(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).

tff(f150,plain,
    ( spl4_22
  <=> ! [X2: $int] :
        ( $less(0,X2)
        | ~ in(X2,sK1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).

tff(f193,plain,
    ( spl4_31
  <=> in(sK3(sK2),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_31])]) ).

tff(f203,plain,
    ( $less(0,sK3(sK2))
    | ~ spl4_22
    | ~ spl4_31 ),
    inference(unit_resulting_resolution,[],[f195,f151]) ).

tff(f151,plain,
    ( ! [X2: $int] :
        ( $less(0,X2)
        | ~ in(X2,sK1) )
    | ~ spl4_22 ),
    inference(avatar_component_clause,[],[f150]) ).

tff(f195,plain,
    ( in(sK3(sK2),sK1)
    | ~ spl4_31 ),
    inference(avatar_component_clause,[],[f193]) ).

tff(f202,plain,
    ( spl4_32
    | ~ spl4_5
    | ~ spl4_21 ),
    inference(avatar_split_clause,[],[f197,f145,f80,f199]) ).

tff(f199,plain,
    ( spl4_32
  <=> $less(0,$sum($product(2,sK2),$uminus($product(5,sK3(sK2))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_32])]) ).

tff(f145,plain,
    ( spl4_21
  <=> in(sK2,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).

tff(f197,plain,
    ( $less(0,$sum($product(2,sK2),$uminus($product(5,sK3(sK2)))))
    | ~ spl4_5
    | ~ spl4_21 ),
    inference(unit_resulting_resolution,[],[f147,f81]) ).

tff(f147,plain,
    ( in(sK2,sK0)
    | ~ spl4_21 ),
    inference(avatar_component_clause,[],[f145]) ).

tff(f196,plain,
    ( spl4_31
    | ~ spl4_14
    | ~ spl4_21 ),
    inference(avatar_split_clause,[],[f191,f145,f116,f193]) ).

tff(f116,plain,
    ( spl4_14
  <=> ! [X4: $int] :
        ( in(sK3(X4),sK1)
        | ~ in(X4,sK0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).

tff(f191,plain,
    ( in(sK3(sK2),sK1)
    | ~ spl4_14
    | ~ spl4_21 ),
    inference(unit_resulting_resolution,[],[f147,f117]) ).

tff(f117,plain,
    ( ! [X4: $int] :
        ( in(sK3(X4),sK1)
        | ~ in(X4,sK0) )
    | ~ spl4_14 ),
    inference(avatar_component_clause,[],[f116]) ).

tff(f184,plain,
    spl4_30,
    inference(avatar_split_clause,[],[f10,f182]) ).

tff(f182,plain,
    ( spl4_30
  <=> ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_30])]) ).

tff(f10,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_144,[]) ).

tff(f180,plain,
    spl4_29,
    inference(avatar_split_clause,[],[f46,f178]) ).

tff(f178,plain,
    ( spl4_29
  <=> ! [X2: $int,X0: collection,X1: $int] :
        ( ~ in(X1,X0)
        | in(X1,add(X2,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).

tff(f46,plain,
    ! [X2: $int,X0: collection,X1: $int] :
      ( ~ in(X1,X0)
      | in(X1,add(X2,X0)) ),
    inference(cnf_transformation,[],[f36]) ).

tff(f36,plain,
    ! [X0: collection,X1: $int,X2: $int] :
      ( ( ( X1 = X2 )
        | in(X1,X0)
        | ~ in(X1,add(X2,X0)) )
      & ( in(X1,add(X2,X0))
        | ( ( X1 != X2 )
          & ~ in(X1,X0) ) ) ),
    inference(rectify,[],[f35]) ).

tff(f35,plain,
    ! [X2: collection,X0: $int,X1: $int] :
      ( ( ( X0 = X1 )
        | in(X0,X2)
        | ~ in(X0,add(X1,X2)) )
      & ( in(X0,add(X1,X2))
        | ( ( X0 != X1 )
          & ~ in(X0,X2) ) ) ),
    inference(flattening,[],[f34]) ).

tff(f34,plain,
    ! [X2: collection,X0: $int,X1: $int] :
      ( ( ( X0 = X1 )
        | in(X0,X2)
        | ~ in(X0,add(X1,X2)) )
      & ( in(X0,add(X1,X2))
        | ( ( X0 != X1 )
          & ~ in(X0,X2) ) ) ),
    inference(nnf_transformation,[],[f27]) ).

tff(f27,plain,
    ! [X2: collection,X0: $int,X1: $int] :
      ( ( ( X0 = X1 )
        | in(X0,X2) )
    <=> in(X0,add(X1,X2)) ),
    inference(rectify,[],[f4]) ).

tff(f4,axiom,
    ! [X5: $int,X7: $int,X6: collection] :
      ( in(X5,add(X7,X6))
    <=> ( in(X5,X6)
        | ( X5 = X7 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f176,plain,
    spl4_28,
    inference(avatar_split_clause,[],[f12,f174]) ).

tff(f12,plain,
    ! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
    introduced(theory_axiom_147,[]) ).

tff(f172,plain,
    spl4_27,
    inference(avatar_split_clause,[],[f13,f170]) ).

tff(f13,plain,
    ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_148,[]) ).

tff(f168,plain,
    spl4_26,
    inference(avatar_split_clause,[],[f26,f166]) ).

tff(f166,plain,
    ( spl4_26
  <=> ! [X0: $int,X1: $int] :
        ( ~ $less(X0,X1)
        | ~ $less(X1,$sum(X0,1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).

tff(f26,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X0,X1)
      | ~ $less(X1,$sum(X0,1)) ),
    introduced(theory_axiom_169,[]) ).

tff(f164,plain,
    spl4_25,
    inference(avatar_split_clause,[],[f22,f162]) ).

tff(f162,plain,
    ( spl4_25
  <=> ! [X0: $int] : ( $product(X0,1) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).

tff(f22,plain,
    ! [X0: $int] : ( $product(X0,1) = X0 ),
    introduced(theory_axiom_145,[]) ).

tff(f160,plain,
    spl4_24,
    inference(avatar_split_clause,[],[f59,f158]) ).

tff(f158,plain,
    ( spl4_24
  <=> ! [X2: $int,X0: collection,X1: $int] :
        ( ~ in(X2,X0)
        | in(X2,remove(X1,X0))
        | ( X1 = X2 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).

tff(f59,plain,
    ! [X2: $int,X0: collection,X1: $int] :
      ( ~ in(X2,X0)
      | in(X2,remove(X1,X0))
      | ( X1 = X2 ) ),
    inference(cnf_transformation,[],[f45]) ).

tff(f45,plain,
    ! [X0: collection,X1: $int,X2: $int] :
      ( ( in(X2,remove(X1,X0))
        | ( X1 = X2 )
        | ~ in(X2,X0) )
      & ( ( ( X1 != X2 )
          & in(X2,X0) )
        | ~ in(X2,remove(X1,X0)) ) ),
    inference(rectify,[],[f44]) ).

tff(f44,plain,
    ! [X1: collection,X0: $int,X2: $int] :
      ( ( in(X2,remove(X0,X1))
        | ( X0 = X2 )
        | ~ in(X2,X1) )
      & ( ( ( X0 != X2 )
          & in(X2,X1) )
        | ~ in(X2,remove(X0,X1)) ) ),
    inference(flattening,[],[f43]) ).

tff(f43,plain,
    ! [X1: collection,X0: $int,X2: $int] :
      ( ( in(X2,remove(X0,X1))
        | ( X0 = X2 )
        | ~ in(X2,X1) )
      & ( ( ( X0 != X2 )
          & in(X2,X1) )
        | ~ in(X2,remove(X0,X1)) ) ),
    inference(nnf_transformation,[],[f31]) ).

tff(f31,plain,
    ! [X1: collection,X0: $int,X2: $int] :
      ( in(X2,remove(X0,X1))
    <=> ( ( X0 != X2 )
        & in(X2,X1) ) ),
    inference(rectify,[],[f5]) ).

tff(f5,axiom,
    ! [X10: $int,X9: collection,X8: $int] :
      ( ( in(X8,X9)
        & ( X8 != X10 ) )
    <=> in(X8,remove(X10,X9)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f156,plain,
    spl4_23,
    inference(avatar_split_clause,[],[f61,f154]) ).

tff(f61,plain,
    ! [X2: $int,X3: $int,X0: $int] :
      ( ( 0 = X0 )
      | ( X2 = X3 )
      | ( $product(X0,X2) != $product(X0,X3) ) ),
    inference(equality_resolution,[],[f25]) ).

tff(f25,plain,
    ! [X2: $int,X3: $int,X0: $int,X1: $int] :
      ( ( $product(X0,X3) != X1 )
      | ( X2 = X3 )
      | ( $product(X0,X2) != X1 )
      | ( 0 = X0 ) ),
    introduced(theory_axiom_159,[]) ).

tff(f152,plain,
    spl4_22,
    inference(avatar_split_clause,[],[f53,f150]) ).

tff(f53,plain,
    ! [X2: $int] :
      ( $less(0,X2)
      | ~ in(X2,sK1) ),
    inference(cnf_transformation,[],[f41]) ).

tff(f41,plain,
    ( ! [X2: $int] :
        ( $less(0,X2)
        | ~ in(X2,sK1) )
    & ~ $less(2,sK2)
    & in(sK2,sK0)
    & ! [X4: $int] :
        ( ( in(sK3(X4),sK1)
          & $less(0,$sum($product(2,X4),$uminus($product(5,sK3(X4))))) )
        | ~ in(X4,sK0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f37,f40,f39,f38]) ).

tff(f38,plain,
    ( ? [X0: collection,X1: collection] :
        ( ! [X2: $int] :
            ( $less(0,X2)
            | ~ in(X2,X1) )
        & ? [X3: $int] :
            ( ~ $less(2,X3)
            & in(X3,X0) )
        & ! [X4: $int] :
            ( ? [X5: $int] :
                ( in(X5,X1)
                & $less(0,$sum($product(2,X4),$uminus($product(5,X5)))) )
            | ~ in(X4,X0) ) )
   => ( ! [X2: $int] :
          ( $less(0,X2)
          | ~ in(X2,sK1) )
      & ? [X3: $int] :
          ( ~ $less(2,X3)
          & in(X3,sK0) )
      & ! [X4: $int] :
          ( ? [X5: $int] :
              ( in(X5,sK1)
              & $less(0,$sum($product(2,X4),$uminus($product(5,X5)))) )
          | ~ in(X4,sK0) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f39,plain,
    ( ? [X3: $int] :
        ( ~ $less(2,X3)
        & in(X3,sK0) )
   => ( ~ $less(2,sK2)
      & in(sK2,sK0) ) ),
    introduced(choice_axiom,[]) ).

tff(f40,plain,
    ! [X4: $int] :
      ( ? [X5: $int] :
          ( in(X5,sK1)
          & $less(0,$sum($product(2,X4),$uminus($product(5,X5)))) )
     => ( in(sK3(X4),sK1)
        & $less(0,$sum($product(2,X4),$uminus($product(5,sK3(X4))))) ) ),
    introduced(choice_axiom,[]) ).

tff(f37,plain,
    ? [X0: collection,X1: collection] :
      ( ! [X2: $int] :
          ( $less(0,X2)
          | ~ in(X2,X1) )
      & ? [X3: $int] :
          ( ~ $less(2,X3)
          & in(X3,X0) )
      & ! [X4: $int] :
          ( ? [X5: $int] :
              ( in(X5,X1)
              & $less(0,$sum($product(2,X4),$uminus($product(5,X5)))) )
          | ~ in(X4,X0) ) ),
    inference(rectify,[],[f33]) ).

tff(f33,plain,
    ? [X1: collection,X0: collection] :
      ( ! [X4: $int] :
          ( $less(0,X4)
          | ~ in(X4,X0) )
      & ? [X5: $int] :
          ( ~ $less(2,X5)
          & in(X5,X1) )
      & ! [X2: $int] :
          ( ? [X3: $int] :
              ( in(X3,X0)
              & $less(0,$sum($product(2,X2),$uminus($product(5,X3)))) )
          | ~ in(X2,X1) ) ),
    inference(flattening,[],[f32]) ).

tff(f32,plain,
    ? [X1: collection,X0: collection] :
      ( ? [X5: $int] :
          ( ~ $less(2,X5)
          & in(X5,X1) )
      & ! [X2: $int] :
          ( ? [X3: $int] :
              ( in(X3,X0)
              & $less(0,$sum($product(2,X2),$uminus($product(5,X3)))) )
          | ~ in(X2,X1) )
      & ! [X4: $int] :
          ( $less(0,X4)
          | ~ in(X4,X0) ) ),
    inference(ennf_transformation,[],[f28]) ).

tff(f28,plain,
    ~ ! [X1: collection,X0: collection] :
        ( ( ! [X2: $int] :
              ( in(X2,X1)
             => ? [X3: $int] :
                  ( in(X3,X0)
                  & $less(0,$sum($product(2,X2),$uminus($product(5,X3)))) ) )
          & ! [X4: $int] :
              ( in(X4,X0)
             => $less(0,X4) ) )
       => ! [X5: $int] :
            ( in(X5,X1)
           => $less(2,X5) ) ),
    inference(rectify,[],[f8]) ).

tff(f8,plain,
    ~ ! [X1: collection,X0: collection] :
        ( ( ! [X3: $int] :
              ( in(X3,X0)
             => ? [X4: $int] :
                  ( in(X4,X1)
                  & $less(0,$sum($product(2,X3),$uminus($product(5,X4)))) ) )
          & ! [X2: $int] :
              ( in(X2,X1)
             => $less(0,X2) ) )
       => ! [X5: $int] :
            ( in(X5,X0)
           => $less(2,X5) ) ),
    inference(theory_normalization,[],[f7]) ).

tff(f7,negated_conjecture,
    ~ ! [X1: collection,X0: collection] :
        ( ( ! [X3: $int] :
              ( in(X3,X0)
             => ? [X4: $int] :
                  ( in(X4,X1)
                  & $greater($difference($product(2,X3),$product(5,X4)),0) ) )
          & ! [X2: $int] :
              ( in(X2,X1)
             => $greater(X2,0) ) )
       => ! [X5: $int] :
            ( in(X5,X0)
           => $greater(X5,2) ) ),
    inference(negated_conjecture,[],[f6]) ).

tff(f6,conjecture,
    ! [X1: collection,X0: collection] :
      ( ( ! [X3: $int] :
            ( in(X3,X0)
           => ? [X4: $int] :
                ( in(X4,X1)
                & $greater($difference($product(2,X3),$product(5,X4)),0) ) )
        & ! [X2: $int] :
            ( in(X2,X1)
           => $greater(X2,0) ) )
     => ! [X5: $int] :
          ( in(X5,X0)
         => $greater(X5,2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f148,plain,
    spl4_21,
    inference(avatar_split_clause,[],[f51,f145]) ).

tff(f51,plain,
    in(sK2,sK0),
    inference(cnf_transformation,[],[f41]) ).

tff(f143,plain,
    ~ spl4_20,
    inference(avatar_split_clause,[],[f52,f140]) ).

tff(f140,plain,
    ( spl4_20
  <=> $less(2,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).

tff(f52,plain,
    ~ $less(2,sK2),
    inference(cnf_transformation,[],[f41]) ).

tff(f138,plain,
    spl4_19,
    inference(avatar_split_clause,[],[f9,f136]) ).

tff(f136,plain,
    ( spl4_19
  <=> ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).

tff(f9,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_143,[]) ).

tff(f134,plain,
    spl4_18,
    inference(avatar_split_clause,[],[f20,f132]) ).

tff(f132,plain,
    ( spl4_18
  <=> ! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).

tff(f20,plain,
    ! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
    introduced(theory_axiom_143,[]) ).

tff(f130,plain,
    spl4_17,
    inference(avatar_split_clause,[],[f11,f128]) ).

tff(f128,plain,
    ( spl4_17
  <=> ! [X0: $int] : ( $sum(X0,0) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).

tff(f11,plain,
    ! [X0: $int] : ( $sum(X0,0) = X0 ),
    introduced(theory_axiom_145,[]) ).

tff(f126,plain,
    spl4_16,
    inference(avatar_split_clause,[],[f24,f124]) ).

tff(f124,plain,
    ( spl4_16
  <=> ! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).

tff(f24,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
    introduced(theory_axiom_158,[]) ).

tff(f122,plain,
    spl4_15,
    inference(avatar_split_clause,[],[f54,f120]) ).

tff(f120,plain,
    ( spl4_15
  <=> ! [X0: $int] : ~ in(X0,empty) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).

tff(f54,plain,
    ! [X0: $int] : ~ in(X0,empty),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    ! [X0: $int] : ~ in(X0,empty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f118,plain,
    spl4_14,
    inference(avatar_split_clause,[],[f50,f116]) ).

tff(f50,plain,
    ! [X4: $int] :
      ( in(sK3(X4),sK1)
      | ~ in(X4,sK0) ),
    inference(cnf_transformation,[],[f41]) ).

tff(f114,plain,
    spl4_13,
    inference(avatar_split_clause,[],[f48,f112]) ).

tff(f112,plain,
    ( spl4_13
  <=> ! [X2: $int,X0: collection,X1: $int] :
        ( in(X1,X0)
        | ~ in(X1,add(X2,X0))
        | ( X1 = X2 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).

tff(f48,plain,
    ! [X2: $int,X0: collection,X1: $int] :
      ( in(X1,X0)
      | ~ in(X1,add(X2,X0))
      | ( X1 = X2 ) ),
    inference(cnf_transformation,[],[f36]) ).

tff(f110,plain,
    spl4_12,
    inference(avatar_split_clause,[],[f57,f108]) ).

tff(f108,plain,
    ( spl4_12
  <=> ! [X2: $int,X0: collection,X1: $int] :
        ( in(X2,X0)
        | ~ in(X2,remove(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).

tff(f57,plain,
    ! [X2: $int,X0: collection,X1: $int] :
      ( in(X2,X0)
      | ~ in(X2,remove(X1,X0)) ),
    inference(cnf_transformation,[],[f45]) ).

tff(f106,plain,
    spl4_11,
    inference(avatar_split_clause,[],[f15,f104]) ).

tff(f104,plain,
    ( spl4_11
  <=> ! [X2: $int,X0: $int,X1: $int] :
        ( $less(X0,X2)
        | ~ $less(X1,X2)
        | ~ $less(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).

tff(f15,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( $less(X0,X2)
      | ~ $less(X1,X2)
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_151,[]) ).

tff(f102,plain,
    spl4_10,
    inference(avatar_split_clause,[],[f17,f100]) ).

tff(f100,plain,
    ( spl4_10
  <=> ! [X2: $int,X0: $int,X1: $int] :
        ( $less($sum(X0,X2),$sum(X1,X2))
        | ~ $less(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).

tff(f17,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( $less($sum(X0,X2),$sum(X1,X2))
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_153,[]) ).

tff(f98,plain,
    spl4_9,
    inference(avatar_split_clause,[],[f23,f96]) ).

tff(f23,plain,
    ! [X0: $int] : ( 0 = $product(X0,0) ),
    introduced(theory_axiom_157,[]) ).

tff(f94,plain,
    spl4_8,
    inference(avatar_split_clause,[],[f16,f92]) ).

tff(f92,plain,
    ( spl4_8
  <=> ! [X0: $int,X1: $int] :
        ( ( X0 = X1 )
        | $less(X0,X1)
        | $less(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

tff(f16,plain,
    ! [X0: $int,X1: $int] :
      ( ( X0 = X1 )
      | $less(X0,X1)
      | $less(X1,X0) ),
    introduced(theory_axiom_152,[]) ).

tff(f90,plain,
    spl4_7,
    inference(avatar_split_clause,[],[f21,f88]) ).

tff(f88,plain,
    ( spl4_7
  <=> ! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product($product(X0,X1),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

tff(f21,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product($product(X0,X1),X2) ),
    introduced(theory_axiom_144,[]) ).

tff(f86,plain,
    spl4_6,
    inference(avatar_split_clause,[],[f56,f84]) ).

tff(f84,plain,
    ( spl4_6
  <=> ! [X0: $int,X1: collection] : ~ in(X0,remove(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

tff(f56,plain,
    ! [X0: $int,X1: collection] : ~ in(X0,remove(X0,X1)),
    inference(cnf_transformation,[],[f42]) ).

tff(f42,plain,
    ! [X0: $int,X1: collection] : ~ in(X0,remove(X0,X1)),
    inference(rectify,[],[f29]) ).

tff(f29,plain,
    ! [X1: $int,X0: collection] : ~ in(X1,remove(X1,X0)),
    inference(rectify,[],[f3]) ).

tff(f3,axiom,
    ! [X4: collection,X3: $int] : ~ in(X3,remove(X3,X4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f82,plain,
    spl4_5,
    inference(avatar_split_clause,[],[f49,f80]) ).

tff(f49,plain,
    ! [X4: $int] :
      ( $less(0,$sum($product(2,X4),$uminus($product(5,sK3(X4)))))
      | ~ in(X4,sK0) ),
    inference(cnf_transformation,[],[f41]) ).

tff(f78,plain,
    spl4_4,
    inference(avatar_split_clause,[],[f60,f76]) ).

tff(f76,plain,
    ( spl4_4
  <=> ! [X2: $int,X0: collection] : in(X2,add(X2,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

tff(f60,plain,
    ! [X2: $int,X0: collection] : in(X2,add(X2,X0)),
    inference(equality_resolution,[],[f47]) ).

tff(f47,plain,
    ! [X2: $int,X0: collection,X1: $int] :
      ( in(X1,add(X2,X0))
      | ( X1 != X2 ) ),
    inference(cnf_transformation,[],[f36]) ).

tff(f74,plain,
    spl4_3,
    inference(avatar_split_clause,[],[f14,f72]) ).

tff(f72,plain,
    ( spl4_3
  <=> ! [X0: $int] : ~ $less(X0,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

tff(f14,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_150,[]) ).

tff(f70,plain,
    spl4_2,
    inference(avatar_split_clause,[],[f18,f68]) ).

tff(f68,plain,
    ( spl4_2
  <=> ! [X0: $int,X1: $int] :
        ( $less(X0,X1)
        | $less(X1,$sum(X0,1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

tff(f18,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X0,X1)
      | $less(X1,$sum(X0,1)) ),
    introduced(theory_axiom_155,[]) ).

tff(f66,plain,
    spl4_1,
    inference(avatar_split_clause,[],[f19,f64]) ).

tff(f64,plain,
    ( spl4_1
  <=> ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

tff(f19,plain,
    ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
    introduced(theory_axiom_156,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : DAT029_1 : TPTP v8.2.0. Released v5.0.0.
% 0.07/0.13  % Command    : run_vampire %s %d THM
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sat Jun 22 06:52:24 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.36  This is a TF0_THM_EQU_ARI problem
% 0.13/0.36  Running first-order theorem proving
% 0.13/0.36  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.42  % (25306)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (25310)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=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.22/0.42  % (25306)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (25311)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.22/0.42  % (25306)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (25307)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59848Mi)
% 0.22/0.42  % (25306)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (25308)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/34Mi)
% 0.22/0.42  % (25306)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (25313)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/32Mi)
% 0.22/0.43  % (25306)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (25312)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 0.22/0.43  % (25306)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (25309)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/8Mi)
% 0.22/0.43  % (25310)Instruction limit reached!
% 0.22/0.43  % (25310)------------------------------
% 0.22/0.43  % (25310)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43  % (25310)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.43  % (25310)Termination reason: Time limit
% 0.22/0.43  % (25310)Termination phase: Saturation
% 0.22/0.43  
% 0.22/0.43  % (25310)Memory used [KB]: 788
% 0.22/0.43  % (25310)Time elapsed: 0.004 s
% 0.22/0.43  % (25310)Instructions burned: 2 (million)
% 0.22/0.43  % (25309)Instruction limit reached!
% 0.22/0.43  % (25309)------------------------------
% 0.22/0.43  % (25309)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43  % (25309)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.43  % (25309)Termination reason: Time limit
% 0.22/0.43  % (25309)Termination phase: Saturation
% 0.22/0.43  
% 0.22/0.43  % (25309)Memory used [KB]: 901
% 0.22/0.43  % (25309)Time elapsed: 0.009 s
% 0.22/0.43  % (25309)Instructions burned: 9 (million)
% 0.22/0.44  % (25312)Instruction limit reached!
% 0.22/0.44  % (25312)------------------------------
% 0.22/0.44  % (25312)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.44  % (25312)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.44  % (25312)Termination reason: Time limit
% 0.22/0.44  % (25312)Termination phase: Saturation
% 0.22/0.44  
% 0.22/0.44  % (25312)Memory used [KB]: 913
% 0.22/0.44  % (25312)Time elapsed: 0.013 s
% 0.22/0.44  % (25312)Instructions burned: 15 (million)
% 0.22/0.45  % (25308)Instruction limit reached!
% 0.22/0.45  % (25308)------------------------------
% 0.22/0.45  % (25308)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.45  % (25308)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.45  % (25308)Termination reason: Time limit
% 0.22/0.45  % (25308)Termination phase: Saturation
% 0.22/0.45  
% 0.22/0.45  % (25308)Memory used [KB]: 1073
% 0.22/0.45  % (25308)Time elapsed: 0.025 s
% 0.22/0.45  % (25308)Instructions burned: 34 (million)
% 0.22/0.45  % (25313)Instruction limit reached!
% 0.22/0.45  % (25313)------------------------------
% 0.22/0.45  % (25313)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.45  % (25313)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.45  % (25313)Termination reason: Time limit
% 0.22/0.45  % (25313)Termination phase: Saturation
% 0.22/0.45  
% 0.22/0.45  % (25313)Memory used [KB]: 1139
% 0.22/0.45  % (25313)Time elapsed: 0.025 s
% 0.22/0.45  % (25313)Instructions burned: 32 (million)
% 0.22/0.45  % (25311)Instruction limit reached!
% 0.22/0.45  % (25311)------------------------------
% 0.22/0.45  % (25311)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.45  % (25311)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.45  % (25311)Termination reason: Time limit
% 0.22/0.45  % (25311)Termination phase: Saturation
% 0.22/0.45  
% 0.22/0.45  % (25311)Memory used [KB]: 1273
% 0.22/0.45  % (25311)Time elapsed: 0.029 s
% 0.22/0.45  % (25311)Instructions burned: 37 (million)
% 0.22/0.49  % (25306)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.49  % (25316)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.22/0.49  % (25306)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.49  % (25323)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.49  % (25306)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.49  % (25320)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.22/0.49  % (25323)Instruction limit reached!
% 0.22/0.49  % (25323)------------------------------
% 0.22/0.49  % (25323)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.49  % (25323)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.49  % (25323)Termination reason: Time limit
% 0.22/0.49  % (25323)Termination phase: Saturation
% 0.22/0.49  
% 0.22/0.49  % (25323)Memory used [KB]: 851
% 0.22/0.49  % (25323)Time elapsed: 0.003 s
% 0.22/0.49  % (25323)Instructions burned: 3 (million)
% 0.22/0.50  % (25320)Instruction limit reached!
% 0.22/0.50  % (25320)------------------------------
% 0.22/0.50  % (25320)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.50  % (25320)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.50  % (25320)Termination reason: Time limit
% 0.22/0.50  % (25320)Termination phase: Saturation
% 0.22/0.51  
% 0.22/0.51  % (25320)Memory used [KB]: 1153
% 0.22/0.51  % (25320)Time elapsed: 0.017 s
% 0.22/0.51  % (25320)Instructions burned: 26 (million)
% 0.22/0.51  % (25306)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.51  % (25331)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.51  % (25306)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.51  % (25332)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.51  % (25316)Instruction limit reached!
% 0.22/0.51  % (25316)------------------------------
% 0.22/0.51  % (25316)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.51  % (25316)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.51  % (25316)Termination reason: Time limit
% 0.22/0.51  % (25316)Termination phase: Saturation
% 0.22/0.51  
% 0.22/0.51  % (25316)Memory used [KB]: 1107
% 0.22/0.51  % (25316)Time elapsed: 0.025 s
% 0.22/0.51  % (25316)Instructions burned: 36 (million)
% 0.22/0.51  % (25332)Instruction limit reached!
% 0.22/0.51  % (25332)------------------------------
% 0.22/0.51  % (25332)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.51  % (25332)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.51  % (25332)Termination reason: Time limit
% 0.22/0.51  % (25332)Termination phase: Property scanning
% 0.22/0.51  
% 0.22/0.51  % (25332)Memory used [KB]: 763
% 0.22/0.51  % (25332)Time elapsed: 0.003 s
% 0.22/0.51  % (25332)Instructions burned: 2 (million)
% 0.22/0.51  % (25306)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.51  % (25330)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.22/0.51  % (25331)Instruction limit reached!
% 0.22/0.51  % (25331)------------------------------
% 0.22/0.51  % (25331)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.51  % (25331)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.51  % (25331)Termination reason: Time limit
% 0.22/0.51  % (25331)Termination phase: Saturation
% 0.22/0.51  
% 0.22/0.51  % (25331)Memory used [KB]: 866
% 0.22/0.51  % (25331)Time elapsed: 0.005 s
% 0.22/0.51  % (25331)Instructions burned: 5 (million)
% 0.22/0.53  % (25330)Instruction limit reached!
% 0.22/0.53  % (25330)------------------------------
% 0.22/0.53  % (25330)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.53  % (25330)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.53  % (25330)Termination reason: Time limit
% 0.22/0.53  % (25330)Termination phase: Saturation
% 0.22/0.53  
% 0.22/0.53  % (25330)Memory used [KB]: 937
% 0.22/0.53  % (25330)Time elapsed: 0.017 s
% 0.22/0.53  % (25330)Instructions burned: 37 (million)
% 0.22/0.54  % (25306)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.54  % (25340)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 0.22/0.55  % (25340)Refutation not found, incomplete strategy% (25340)------------------------------
% 0.22/0.55  % (25340)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.55  % (25340)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.55  % (25340)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.55  
% 0.22/0.55  % (25340)Memory used [KB]: 843
% 0.22/0.55  % (25340)Time elapsed: 0.005 s
% 0.22/0.55  % (25340)Instructions burned: 4 (million)
% 0.22/0.55  % (25340)------------------------------
% 0.22/0.55  % (25340)------------------------------
% 0.22/0.56  % (25306)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.56  % (25344)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 0.22/0.57  % (25306)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.57  % (25346)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.22/0.57  % (25346)Instruction limit reached!
% 0.22/0.57  % (25346)------------------------------
% 0.22/0.57  % (25346)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.57  % (25346)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.57  % (25346)Termination reason: Time limit
% 0.22/0.57  % (25346)Termination phase: Saturation
% 0.22/0.57  
% 0.22/0.57  % (25346)Memory used [KB]: 891
% 0.22/0.57  % (25346)Time elapsed: 0.003 s
% 0.22/0.57  % (25346)Instructions burned: 2 (million)
% 0.22/0.57  % (25306)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.57  % (25345)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.22/0.57  % (25345)Instruction limit reached!
% 0.22/0.57  % (25345)------------------------------
% 0.22/0.57  % (25345)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.57  % (25345)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.57  % (25345)Termination reason: Time limit
% 0.22/0.57  % (25345)Termination phase: Property scanning
% 0.22/0.57  
% 0.22/0.57  % (25345)Memory used [KB]: 757
% 0.22/0.57  % (25345)Time elapsed: 0.003 s
% 0.22/0.57  % (25345)Instructions burned: 2 (million)
% 0.22/0.57  % (25306)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.57  % (25348)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=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/49Mi)
% 0.22/0.57  % (25306)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.57  % (25351)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 0.22/0.58  % (25351)Refutation not found, incomplete strategy% (25351)------------------------------
% 0.22/0.58  % (25351)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.58  % (25351)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.58  % (25351)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.58  
% 0.22/0.58  % (25351)Memory used [KB]: 843
% 0.22/0.58  % (25351)Time elapsed: 0.003 s
% 0.22/0.58  % (25351)Instructions burned: 4 (million)
% 0.22/0.58  % (25351)------------------------------
% 0.22/0.58  % (25351)------------------------------
% 0.22/0.59  % (25344)Instruction limit reached!
% 0.22/0.59  % (25344)------------------------------
% 0.22/0.59  % (25344)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.59  % (25344)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.59  % (25344)Termination reason: Time limit
% 0.22/0.59  % (25344)Termination phase: Saturation
% 0.22/0.59  
% 0.22/0.59  % (25344)Memory used [KB]: 1429
% 0.22/0.59  % (25344)Time elapsed: 0.029 s
% 0.22/0.59  % (25344)Instructions burned: 51 (million)
% 0.22/0.60  % (25348)Instruction limit reached!
% 0.22/0.60  % (25348)------------------------------
% 0.22/0.60  % (25348)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.60  % (25348)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.60  % (25348)Termination reason: Time limit
% 0.22/0.60  % (25348)Termination phase: Saturation
% 0.22/0.60  
% 0.22/0.60  % (25348)Memory used [KB]: 1245
% 0.22/0.60  % (25348)Time elapsed: 0.032 s
% 0.22/0.60  % (25348)Instructions burned: 50 (million)
% 1.83/0.61  % (25306)Running in auto input_syntax mode. Trying TPTP
% 1.83/0.61  % (25357)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.83/0.61  % (25357)Instruction limit reached!
% 1.83/0.61  % (25357)------------------------------
% 1.83/0.61  % (25357)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.83/0.61  % (25357)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.83/0.61  % (25357)Termination reason: Time limit
% 1.83/0.61  % (25357)Termination phase: Saturation
% 1.83/0.61  
% 1.83/0.61  % (25357)Memory used [KB]: 937
% 1.83/0.61  % (25357)Time elapsed: 0.004 s
% 1.83/0.61  % (25357)Instructions burned: 3 (million)
% 1.83/0.61  % (25306)Running in auto input_syntax mode. Trying TPTP
% 1.83/0.61  % (25363)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 1.83/0.62  % (25363)Instruction limit reached!
% 1.83/0.62  % (25363)------------------------------
% 1.83/0.62  % (25363)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.83/0.62  % (25363)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.83/0.62  % (25363)Termination reason: Time limit
% 1.83/0.62  % (25363)Termination phase: Saturation
% 1.83/0.62  
% 1.83/0.62  % (25363)Memory used [KB]: 915
% 1.83/0.62  % (25363)Time elapsed: 0.007 s
% 1.83/0.62  % (25363)Instructions burned: 16 (million)
% 1.93/0.64  % (25306)Running in auto input_syntax mode. Trying TPTP
% 1.93/0.64  % (25364)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 1.96/0.64  % (25306)Running in auto input_syntax mode. Trying TPTP
% 1.96/0.64  % (25367)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 1.96/0.64  % (25364)Refutation not found, incomplete strategy% (25364)------------------------------
% 1.96/0.64  % (25364)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.96/0.64  % (25364)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.96/0.64  % (25364)Termination reason: Refutation not found, incomplete strategy
% 1.96/0.64  
% 1.96/0.64  % (25364)Memory used [KB]: 843
% 1.96/0.64  % (25364)Time elapsed: 0.004 s
% 1.96/0.64  % (25364)Instructions burned: 4 (million)
% 1.96/0.64  % (25364)------------------------------
% 1.96/0.64  % (25364)------------------------------
% 1.96/0.65  % (25306)Running in auto input_syntax mode. Trying TPTP
% 1.96/0.65  % (25377)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/43Mi)
% 1.96/0.66  % (25306)Running in auto input_syntax mode. Trying TPTP
% 1.96/0.66  % (25372)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 1.96/0.66  % (25367)Instruction limit reached!
% 1.96/0.66  % (25367)------------------------------
% 1.96/0.66  % (25367)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.96/0.66  % (25367)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.96/0.66  % (25367)Termination reason: Time limit
% 1.96/0.66  % (25367)Termination phase: Saturation
% 1.96/0.66  
% 1.96/0.66  % (25367)Memory used [KB]: 1044
% 1.96/0.66  % (25367)Time elapsed: 0.052 s
% 1.96/0.66  % (25367)Instructions burned: 47 (million)
% 1.96/0.67  % (25306)Running in auto input_syntax mode. Trying TPTP
% 1.96/0.67  % (25370)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/50Mi)
% 1.96/0.67  % (25306)Running in auto input_syntax mode. Trying TPTP
% 1.96/0.67  % (25376)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 1.96/0.68  % (25377)Instruction limit reached!
% 1.96/0.68  % (25377)------------------------------
% 1.96/0.68  % (25377)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.96/0.68  % (25377)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.96/0.68  % (25377)Termination reason: Time limit
% 1.96/0.68  % (25377)Termination phase: Saturation
% 1.96/0.68  
% 1.96/0.68  % (25377)Memory used [KB]: 1179
% 1.96/0.68  % (25377)Time elapsed: 0.047 s
% 1.96/0.68  % (25377)Instructions burned: 43 (million)
% 1.96/0.69  % (25306)Running in auto input_syntax mode. Trying TPTP
% 1.96/0.69  % (25380)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/21Mi)
% 1.96/0.69  % (25372)Instruction limit reached!
% 1.96/0.69  % (25372)------------------------------
% 1.96/0.69  % (25372)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.96/0.69  % (25372)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.96/0.69  % (25372)Termination reason: Time limit
% 1.96/0.69  % (25372)Termination phase: Saturation
% 1.96/0.69  
% 1.96/0.69  % (25372)Memory used [KB]: 1083
% 1.96/0.69  % (25372)Time elapsed: 0.055 s
% 1.96/0.69  % (25372)Instructions burned: 47 (million)
% 1.96/0.69  % (25380)Refutation not found, incomplete strategy% (25380)------------------------------
% 1.96/0.69  % (25380)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.96/0.69  % (25380)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.96/0.69  % (25380)Termination reason: Refutation not found, incomplete strategy
% 1.96/0.69  
% 1.96/0.69  % (25380)Memory used [KB]: 843
% 1.96/0.69  % (25380)Time elapsed: 0.032 s
% 1.96/0.69  % (25380)Instructions burned: 4 (million)
% 1.96/0.69  % (25380)------------------------------
% 1.96/0.69  % (25380)------------------------------
% 1.96/0.70  % (25376)Instruction limit reached!
% 1.96/0.70  % (25376)------------------------------
% 1.96/0.70  % (25376)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.96/0.70  % (25376)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.96/0.70  % (25376)Termination reason: Time limit
% 1.96/0.70  % (25376)Termination phase: Saturation
% 1.96/0.70  
% 1.96/0.70  % (25376)Memory used [KB]: 1109
% 1.96/0.70  % (25376)Time elapsed: 0.051 s
% 1.96/0.70  % (25376)Instructions burned: 42 (million)
% 1.96/0.70  % (25370)Instruction limit reached!
% 1.96/0.70  % (25370)------------------------------
% 1.96/0.70  % (25370)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.96/0.70  % (25370)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.96/0.70  % (25370)Termination reason: Time limit
% 1.96/0.70  % (25370)Termination phase: Saturation
% 1.96/0.70  
% 1.96/0.70  % (25370)Memory used [KB]: 1188
% 1.96/0.70  % (25370)Time elapsed: 0.061 s
% 1.96/0.70  % (25370)Instructions burned: 51 (million)
% 2.44/0.71  % (25306)Running in auto input_syntax mode. Trying TPTP
% 2.44/0.71  % (25382)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/21Mi)
% 2.44/0.72  % (25382)Instruction limit reached!
% 2.44/0.72  % (25382)------------------------------
% 2.44/0.72  % (25382)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.44/0.72  % (25382)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.44/0.72  % (25382)Termination reason: Time limit
% 2.44/0.72  % (25382)Termination phase: Saturation
% 2.44/0.72  
% 2.44/0.72  % (25382)Memory used [KB]: 966
% 2.44/0.72  % (25382)Time elapsed: 0.011 s
% 2.44/0.72  % (25382)Instructions burned: 22 (million)
% 2.44/0.74  % (25306)Running in auto input_syntax mode. Trying TPTP
% 2.44/0.74  % (25384)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/41Mi)
% 2.44/0.75  % (25306)Running in auto input_syntax mode. Trying TPTP
% 2.44/0.75  % (25386)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/47Mi)
% 2.44/0.75  % (25306)Running in auto input_syntax mode. Trying TPTP
% 2.44/0.75  % (25385)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/15Mi)
% 2.44/0.75  % (25385)Refutation not found, incomplete strategy% (25385)------------------------------
% 2.44/0.75  % (25385)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.44/0.75  % (25385)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.44/0.75  % (25385)Termination reason: Refutation not found, incomplete strategy
% 2.44/0.75  
% 2.44/0.75  % (25385)Memory used [KB]: 843
% 2.44/0.75  % (25385)Time elapsed: 0.004 s
% 2.44/0.75  % (25385)Instructions burned: 4 (million)
% 2.44/0.75  % (25385)------------------------------
% 2.44/0.75  % (25385)------------------------------
% 2.61/0.76  % (25306)Running in auto input_syntax mode. Trying TPTP
% 2.61/0.76  % (25387)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/25Mi)
% 2.61/0.77  % (25306)Running in auto input_syntax mode. Trying TPTP
% 2.61/0.77  % (25388)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/148Mi)
% 2.61/0.77  % (25387)Refutation not found, incomplete strategy% (25387)------------------------------
% 2.61/0.77  % (25387)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.61/0.77  % (25387)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.61/0.77  % (25387)Termination reason: Refutation not found, incomplete strategy
% 2.61/0.77  
% 2.61/0.77  % (25387)Memory used [KB]: 843
% 2.61/0.77  % (25387)Time elapsed: 0.004 s
% 2.61/0.77  % (25387)Instructions burned: 4 (million)
% 2.61/0.77  % (25384)Instruction limit reached!
% 2.61/0.77  % (25384)------------------------------
% 2.61/0.77  % (25384)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.61/0.77  % (25384)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.61/0.77  % (25384)Termination reason: Time limit
% 2.61/0.77  % (25384)Termination phase: Saturation
% 2.61/0.77  
% 2.61/0.77  % (25384)Memory used [KB]: 1406
% 2.61/0.77  % (25384)Time elapsed: 0.030 s
% 2.61/0.77  % (25384)Instructions burned: 41 (million)
% 2.61/0.77  % (25387)------------------------------
% 2.61/0.77  % (25387)------------------------------
% 2.61/0.77  % (25386)Instruction limit reached!
% 2.61/0.77  % (25386)------------------------------
% 2.61/0.77  % (25386)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.61/0.77  % (25386)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.61/0.77  % (25386)Termination reason: Time limit
% 2.61/0.77  % (25386)Termination phase: Saturation
% 2.61/0.77  
% 2.61/0.77  % (25386)Memory used [KB]: 1322
% 2.61/0.77  % (25386)Time elapsed: 0.021 s
% 2.61/0.77  % (25386)Instructions burned: 47 (million)
% 2.61/0.77  % (25306)Running in auto input_syntax mode. Trying TPTP
% 2.61/0.77  % (25389)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/100Mi)
% 2.61/0.80  % (25306)Running in auto input_syntax mode. Trying TPTP
% 2.61/0.80  % (25396)lrs+10_1:3_add=large:afr=on:anc=all_dependent:avsq=on:avsqr=21,226:awrs=decay:awrsf=47:br=off:bsd=on:canc=cautious:cond=fast:fd=preordered:fsd=on:fsr=off:gs=on:gve=force:ins=1:lma=on:s2agt=4:s2at=1.9:sas=z3:slsq=on:slsqc=1:slsqr=13,121:sp=reverse_arity:tha=some:to=lpo:uace=off:uhcvi=on:updr=off:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/108Mi)
% 2.61/0.82  % (25306)Running in auto input_syntax mode. Trying TPTP
% 2.61/0.82  % (25393)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/76Mi)
% 2.61/0.82  % (25389)Instruction limit reached!
% 2.61/0.82  % (25389)------------------------------
% 2.61/0.82  % (25389)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.61/0.82  % (25389)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.61/0.82  % (25389)Termination reason: Time limit
% 2.61/0.82  % (25389)Termination phase: Saturation
% 2.61/0.82  
% 2.61/0.82  % (25389)Memory used [KB]: 1660
% 2.61/0.82  % (25389)Time elapsed: 0.057 s
% 2.61/0.82  % (25389)Instructions burned: 100 (million)
% 2.61/0.83  % (25306)Running in auto input_syntax mode. Trying TPTP
% 2.61/0.83  % (25395)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/96Mi)
% 2.61/0.83  % (25306)Running in auto input_syntax mode. Trying TPTP
% 2.61/0.83  % (25394)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/58Mi)
% 2.61/0.84  % (25396)Instruction limit reached!
% 2.61/0.84  % (25396)------------------------------
% 2.61/0.84  % (25396)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.61/0.84  % (25396)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.61/0.84  % (25396)Termination reason: Time limit
% 2.61/0.84  % (25396)Termination phase: Saturation
% 2.61/0.84  
% 2.61/0.84  % (25396)Memory used [KB]: 860
% 2.61/0.84  % (25396)Time elapsed: 0.036 s
% 2.61/0.84  % (25396)Instructions burned: 109 (million)
% 2.61/0.85  % (25388)Instruction limit reached!
% 2.61/0.85  % (25388)------------------------------
% 2.61/0.85  % (25388)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.61/0.85  % (25388)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.61/0.85  % (25388)Termination reason: Time limit
% 2.61/0.85  % (25388)Termination phase: Saturation
% 2.61/0.85  
% 2.61/0.85  % (25388)Memory used [KB]: 1710
% 2.61/0.85  % (25388)Time elapsed: 0.086 s
% 2.61/0.85  % (25388)Instructions burned: 148 (million)
% 3.25/0.86  % (25394)Instruction limit reached!
% 3.25/0.86  % (25394)------------------------------
% 3.25/0.86  % (25394)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.25/0.86  % (25394)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.25/0.86  % (25394)Termination reason: Time limit
% 3.25/0.86  % (25394)Termination phase: Saturation
% 3.25/0.86  
% 3.25/0.86  % (25394)Memory used [KB]: 1545
% 3.25/0.86  % (25394)Time elapsed: 0.033 s
% 3.25/0.86  % (25394)Instructions burned: 58 (million)
% 3.25/0.87  % (25393)Instruction limit reached!
% 3.25/0.87  % (25393)------------------------------
% 3.25/0.87  % (25393)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.25/0.87  % (25393)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.25/0.87  % (25393)Termination reason: Time limit
% 3.25/0.87  % (25393)Termination phase: Saturation
% 3.25/0.87  
% 3.25/0.87  % (25393)Memory used [KB]: 1653
% 3.25/0.87  % (25393)Time elapsed: 0.045 s
% 3.25/0.87  % (25393)Instructions burned: 77 (million)
% 3.25/0.87  % (25306)Running in auto input_syntax mode. Trying TPTP
% 3.25/0.87  % (25401)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=494:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/494Mi)
% 3.25/0.87  % (25306)Running in auto input_syntax mode. Trying TPTP
% 3.25/0.87  % (25400)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/463Mi)
% 3.25/0.87  % (25395)Instruction limit reached!
% 3.25/0.87  % (25395)------------------------------
% 3.25/0.87  % (25395)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.25/0.87  % (25395)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.25/0.87  % (25395)Termination reason: Time limit
% 3.25/0.87  % (25395)Termination phase: Saturation
% 3.25/0.87  
% 3.25/0.87  % (25395)Memory used [KB]: 889
% 3.25/0.87  % (25395)Time elapsed: 0.048 s
% 3.25/0.87  % (25395)Instructions burned: 98 (million)
% 3.58/0.91  % (25306)Running in auto input_syntax mode. Trying TPTP
% 3.58/0.91  % (25404)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/223Mi)
% 3.58/0.91  % (25401)First to succeed.
% 3.58/0.91  % (25401)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25306"
% 3.58/0.92  % (25306)Running in auto input_syntax mode. Trying TPTP
% 3.58/0.92  % (25401)Refutation found. Thanks to Tanya!
% 3.58/0.92  % SZS status Theorem for theBenchmark
% 3.58/0.92  % SZS output start Proof for theBenchmark
% See solution above
% 3.58/0.92  % (25401)------------------------------
% 3.58/0.92  % (25401)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.58/0.92  % (25401)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.58/0.92  % (25401)Termination reason: Refutation
% 3.58/0.92  
% 3.58/0.92  % (25401)Memory used [KB]: 928
% 3.58/0.92  % (25401)Time elapsed: 0.045 s
% 3.58/0.92  % (25401)Instructions burned: 145 (million)
% 3.58/0.92  % (25401)------------------------------
% 3.58/0.92  % (25401)------------------------------
% 3.58/0.92  % (25306)Success in time 0.55 s
%------------------------------------------------------------------------------