TSTP Solution File: SWV491+3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV491+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n028.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 18:50:12 EDT 2022

% Result   : Theorem 2.26s 0.70s
% Output   : Refutation 2.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  119 (   8 unt;   0 def)
%            Number of atoms       :  517 ( 134 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  674 ( 276   ~; 273   |;  87   &)
%                                         (  15 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   15 (  13 usr;  12 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :  132 ( 121   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1652,plain,
    $false,
    inference(avatar_sat_refutation,[],[f99,f104,f109,f110,f112,f114,f477,f518,f559,f644,f648,f1118,f1121,f1638,f1651]) ).

fof(f1651,plain,
    ( spl3_1
    | ~ spl3_6
    | ~ spl3_16 ),
    inference(avatar_contradiction_clause,[],[f1650]) ).

fof(f1650,plain,
    ( $false
    | spl3_1
    | ~ spl3_6
    | ~ spl3_16 ),
    inference(subsumption_resolution,[],[f1648,f83]) ).

fof(f83,plain,
    ( real_zero != a(sK0,sK1)
    | spl3_1 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f81,plain,
    ( spl3_1
  <=> real_zero = a(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f1648,plain,
    ( real_zero = a(sK0,sK1)
    | ~ spl3_6
    | ~ spl3_16 ),
    inference(backward_demodulation,[],[f1605,f1645]) ).

fof(f1645,plain,
    ( plus(sK0,sK2(sK1,sK0)) = sK1
    | ~ spl3_6 ),
    inference(resolution,[],[f103,f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ~ int_less(X1,X0)
      | plus(X1,sK2(X0,X1)) = X0 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ( int_less(X1,X0)
        | ! [X2] :
            ( plus(X1,X2) != X0
            | ~ int_less(int_zero,X2) ) )
      & ( ( plus(X1,sK2(X0,X1)) = X0
          & int_less(int_zero,sK2(X0,X1)) )
        | ~ int_less(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f33,f34]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( plus(X1,X3) = X0
          & int_less(int_zero,X3) )
     => ( plus(X1,sK2(X0,X1)) = X0
        & int_less(int_zero,sK2(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ( int_less(X1,X0)
        | ! [X2] :
            ( plus(X1,X2) != X0
            | ~ int_less(int_zero,X2) ) )
      & ( ? [X3] :
            ( plus(X1,X3) = X0
            & int_less(int_zero,X3) )
        | ~ int_less(X1,X0) ) ),
    inference(rectify,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ( int_less(X1,X0)
        | ! [X2] :
            ( plus(X1,X2) != X0
            | ~ int_less(int_zero,X2) ) )
      & ( ? [X2] :
            ( plus(X1,X2) = X0
            & int_less(int_zero,X2) )
        | ~ int_less(X1,X0) ) ),
    inference(nnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( int_less(X1,X0)
    <=> ? [X2] :
          ( plus(X1,X2) = X0
          & int_less(int_zero,X2) ) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X1,X0] :
      ( ? [X2] :
          ( plus(X0,X2) = X1
          & int_less(int_zero,X2) )
    <=> int_less(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus_and_inverse) ).

fof(f103,plain,
    ( int_less(sK0,sK1)
    | ~ spl3_6 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f101,plain,
    ( spl3_6
  <=> int_less(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

fof(f1605,plain,
    ( real_zero = a(sK0,plus(sK0,sK2(sK1,sK0)))
    | ~ spl3_16 ),
    inference(subsumption_resolution,[],[f1599,f56]) ).

fof(f56,plain,
    int_leq(int_one,sK0),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ( int_leq(sK0,n)
    & int_leq(int_one,sK0)
    & int_leq(sK1,n)
    & ( ( real_zero != a(sK0,sK1)
        & int_less(sK1,sK0) )
      | ( real_one != a(sK0,sK1)
        & sK1 = sK0 )
      | ( real_zero != a(sK0,sK1)
        & int_less(sK0,sK1) ) )
    & int_leq(int_one,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f29,f30]) ).

fof(f30,plain,
    ( ? [X0,X1] :
        ( int_leq(X0,n)
        & int_leq(int_one,X0)
        & int_leq(X1,n)
        & ( ( real_zero != a(X0,X1)
            & int_less(X1,X0) )
          | ( real_one != a(X0,X1)
            & X0 = X1 )
          | ( real_zero != a(X0,X1)
            & int_less(X0,X1) ) )
        & int_leq(int_one,X1) )
   => ( int_leq(sK0,n)
      & int_leq(int_one,sK0)
      & int_leq(sK1,n)
      & ( ( real_zero != a(sK0,sK1)
          & int_less(sK1,sK0) )
        | ( real_one != a(sK0,sK1)
          & sK1 = sK0 )
        | ( real_zero != a(sK0,sK1)
          & int_less(sK0,sK1) ) )
      & int_leq(int_one,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f29,plain,
    ? [X0,X1] :
      ( int_leq(X0,n)
      & int_leq(int_one,X0)
      & int_leq(X1,n)
      & ( ( real_zero != a(X0,X1)
          & int_less(X1,X0) )
        | ( real_one != a(X0,X1)
          & X0 = X1 )
        | ( real_zero != a(X0,X1)
          & int_less(X0,X1) ) )
      & int_leq(int_one,X1) ),
    inference(flattening,[],[f28]) ).

fof(f28,plain,
    ? [X1,X0] :
      ( ( ( real_zero != a(X0,X1)
          & int_less(X1,X0) )
        | ( real_one != a(X0,X1)
          & X0 = X1 )
        | ( real_zero != a(X0,X1)
          & int_less(X0,X1) ) )
      & int_leq(int_one,X1)
      & int_leq(X1,n)
      & int_leq(int_one,X0)
      & int_leq(X0,n) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,negated_conjecture,
    ~ ! [X1,X0] :
        ( ( int_leq(int_one,X1)
          & int_leq(X1,n)
          & int_leq(int_one,X0)
          & int_leq(X0,n) )
       => ( ( int_less(X1,X0)
           => real_zero = a(X0,X1) )
          & ( X0 = X1
           => real_one = a(X0,X1) )
          & ( int_less(X0,X1)
           => real_zero = a(X0,X1) ) ) ),
    inference(negated_conjecture,[],[f13]) ).

fof(f13,conjecture,
    ! [X1,X0] :
      ( ( int_leq(int_one,X1)
        & int_leq(X1,n)
        & int_leq(int_one,X0)
        & int_leq(X0,n) )
     => ( ( int_less(X1,X0)
         => real_zero = a(X0,X1) )
        & ( X0 = X1
         => real_one = a(X0,X1) )
        & ( int_less(X0,X1)
         => real_zero = a(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diag) ).

fof(f1599,plain,
    ( real_zero = a(sK0,plus(sK0,sK2(sK1,sK0)))
    | ~ int_leq(int_one,sK0)
    | ~ spl3_16 ),
    inference(resolution,[],[f476,f75]) ).

fof(f75,plain,
    ! [X1] : int_leq(X1,X1),
    inference(equality_resolution,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( int_leq(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ( int_less(X0,X1)
        | X0 = X1
        | ~ int_leq(X0,X1) )
      & ( int_leq(X0,X1)
        | ( ~ int_less(X0,X1)
          & X0 != X1 ) ) ),
    inference(rectify,[],[f37]) ).

fof(f37,plain,
    ! [X1,X0] :
      ( ( int_less(X1,X0)
        | X0 = X1
        | ~ int_leq(X1,X0) )
      & ( int_leq(X1,X0)
        | ( ~ int_less(X1,X0)
          & X0 != X1 ) ) ),
    inference(flattening,[],[f36]) ).

fof(f36,plain,
    ! [X1,X0] :
      ( ( int_less(X1,X0)
        | X0 = X1
        | ~ int_leq(X1,X0) )
      & ( int_leq(X1,X0)
        | ( ~ int_less(X1,X0)
          & X0 != X1 ) ) ),
    inference(nnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X1,X0] :
      ( ( int_less(X1,X0)
        | X0 = X1 )
    <=> int_leq(X1,X0) ),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ! [X1,X0] :
      ( ( X0 = X1
        | int_less(X0,X1) )
    <=> int_leq(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',int_leq) ).

fof(f476,plain,
    ( ! [X1] :
        ( ~ int_leq(X1,sK0)
        | ~ int_leq(int_one,X1)
        | real_zero = a(X1,plus(X1,sK2(sK1,sK0))) )
    | ~ spl3_16 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f475,plain,
    ( spl3_16
  <=> ! [X1] :
        ( ~ int_leq(X1,sK0)
        | real_zero = a(X1,plus(X1,sK2(sK1,sK0)))
        | ~ int_leq(int_one,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).

fof(f1638,plain,
    ( spl3_1
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(avatar_contradiction_clause,[],[f1637]) ).

fof(f1637,plain,
    ( $false
    | spl3_1
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f1636,f83]) ).

fof(f1636,plain,
    ( real_zero = a(sK0,sK1)
    | ~ spl3_2
    | ~ spl3_18 ),
    inference(forward_demodulation,[],[f1635,f1137]) ).

fof(f1137,plain,
    ( plus(sK1,sK2(sK0,sK1)) = sK0
    | ~ spl3_2 ),
    inference(resolution,[],[f87,f60]) ).

fof(f87,plain,
    ( int_less(sK1,sK0)
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f85,plain,
    ( spl3_2
  <=> int_less(sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f1635,plain,
    ( real_zero = a(plus(sK1,sK2(sK0,sK1)),sK1)
    | ~ spl3_18 ),
    inference(subsumption_resolution,[],[f1632,f46]) ).

fof(f46,plain,
    int_leq(int_one,sK1),
    inference(cnf_transformation,[],[f31]) ).

fof(f1632,plain,
    ( ~ int_leq(int_one,sK1)
    | real_zero = a(plus(sK1,sK2(sK0,sK1)),sK1)
    | ~ spl3_18 ),
    inference(resolution,[],[f643,f75]) ).

fof(f643,plain,
    ( ! [X0] :
        ( ~ int_leq(X0,sK1)
        | ~ int_leq(int_one,X0)
        | real_zero = a(plus(X0,sK2(sK0,sK1)),X0) )
    | ~ spl3_18 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f642,plain,
    ( spl3_18
  <=> ! [X0] :
        ( ~ int_leq(X0,sK1)
        | ~ int_leq(int_one,X0)
        | real_zero = a(plus(X0,sK2(sK0,sK1)),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).

fof(f1121,plain,
    ( ~ spl3_2
    | ~ spl3_7 ),
    inference(avatar_contradiction_clause,[],[f1120]) ).

fof(f1120,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_7 ),
    inference(subsumption_resolution,[],[f1119,f73]) ).

fof(f73,plain,
    ! [X1] : ~ int_less(X1,X1),
    inference(equality_resolution,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ~ int_less(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ~ int_less(X0,X1)
      | X0 != X1 ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( int_less(X0,X1)
     => X0 != X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',int_less_irreflexive) ).

fof(f1119,plain,
    ( int_less(sK0,sK0)
    | ~ spl3_2
    | ~ spl3_7 ),
    inference(forward_demodulation,[],[f87,f108]) ).

fof(f108,plain,
    ( sK1 = sK0
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f106,plain,
    ( spl3_7
  <=> sK1 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

fof(f1118,plain,
    ~ spl3_5,
    inference(avatar_contradiction_clause,[],[f1117]) ).

fof(f1117,plain,
    ( $false
    | ~ spl3_5 ),
    inference(subsumption_resolution,[],[f1116,f56]) ).

fof(f1116,plain,
    ( ~ int_leq(int_one,sK0)
    | ~ spl3_5 ),
    inference(resolution,[],[f98,f57]) ).

fof(f57,plain,
    int_leq(sK0,n),
    inference(cnf_transformation,[],[f31]) ).

fof(f98,plain,
    ( ! [X0] :
        ( ~ int_leq(X0,n)
        | ~ int_leq(int_one,X0) )
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f97,plain,
    ( spl3_5
  <=> ! [X0] :
        ( ~ int_leq(int_one,X0)
        | ~ int_leq(X0,n) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f648,plain,
    ( ~ spl3_2
    | spl3_17 ),
    inference(avatar_contradiction_clause,[],[f647]) ).

fof(f647,plain,
    ( $false
    | ~ spl3_2
    | spl3_17 ),
    inference(subsumption_resolution,[],[f645,f87]) ).

fof(f645,plain,
    ( ~ int_less(sK1,sK0)
    | spl3_17 ),
    inference(resolution,[],[f640,f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( int_less(int_zero,sK2(X0,X1))
      | ~ int_less(X1,X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f640,plain,
    ( ~ int_less(int_zero,sK2(sK0,sK1))
    | spl3_17 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f638,plain,
    ( spl3_17
  <=> int_less(int_zero,sK2(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).

fof(f644,plain,
    ( ~ spl3_17
    | spl3_18
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f636,f85,f642,f638]) ).

fof(f636,plain,
    ( ! [X0] :
        ( ~ int_leq(X0,sK1)
        | real_zero = a(plus(X0,sK2(sK0,sK1)),X0)
        | ~ int_less(int_zero,sK2(sK0,sK1))
        | ~ int_leq(int_one,X0) )
    | ~ spl3_2 ),
    inference(subsumption_resolution,[],[f635,f57]) ).

fof(f635,plain,
    ( ! [X0] :
        ( real_zero = a(plus(X0,sK2(sK0,sK1)),X0)
        | ~ int_leq(int_one,X0)
        | ~ int_leq(sK0,n)
        | ~ int_less(int_zero,sK2(sK0,sK1))
        | ~ int_leq(X0,sK1) )
    | ~ spl3_2 ),
    inference(subsumption_resolution,[],[f631,f56]) ).

fof(f631,plain,
    ( ! [X0] :
        ( ~ int_leq(int_one,sK0)
        | ~ int_leq(X0,sK1)
        | ~ int_less(int_zero,sK2(sK0,sK1))
        | ~ int_leq(sK0,n)
        | ~ int_leq(int_one,X0)
        | real_zero = a(plus(X0,sK2(sK0,sK1)),X0) )
    | ~ spl3_2 ),
    inference(superposition,[],[f212,f574]) ).

fof(f574,plain,
    ( plus(sK1,sK2(sK0,sK1)) = sK0
    | ~ spl3_2 ),
    inference(resolution,[],[f87,f60]) ).

fof(f212,plain,
    ! [X4,X5] :
      ( ~ int_leq(plus(sK1,X4),n)
      | ~ int_leq(int_one,plus(sK1,X4))
      | ~ int_leq(int_one,X5)
      | ~ int_less(int_zero,X4)
      | ~ int_leq(X5,sK1)
      | real_zero = a(plus(X5,X4),X5) ),
    inference(subsumption_resolution,[],[f210,f46]) ).

fof(f210,plain,
    ! [X4,X5] :
      ( ~ int_leq(int_one,plus(sK1,X4))
      | ~ int_leq(int_one,X5)
      | ~ int_leq(X5,sK1)
      | ~ int_leq(int_one,sK1)
      | ~ int_less(int_zero,X4)
      | real_zero = a(plus(X5,X4),X5)
      | ~ int_leq(plus(sK1,X4),n) ),
    inference(resolution,[],[f77,f55]) ).

fof(f55,plain,
    int_leq(sK1,n),
    inference(cnf_transformation,[],[f31]) ).

fof(f77,plain,
    ! [X1,X4,X5] :
      ( ~ int_leq(X1,n)
      | ~ int_less(int_zero,X4)
      | ~ int_leq(plus(X1,X4),n)
      | ~ int_leq(int_one,plus(X1,X4))
      | ~ int_leq(X5,X1)
      | ~ int_leq(int_one,X1)
      | real_zero = a(plus(X5,X4),X5)
      | ~ int_leq(int_one,X5) ),
    inference(equality_resolution,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1,X4,X5] :
      ( ~ int_leq(X0,n)
      | ~ int_leq(int_one,X1)
      | ~ int_leq(int_one,X0)
      | ~ int_leq(int_one,X5)
      | ~ int_leq(X5,X1)
      | real_zero = a(plus(X5,X4),X5)
      | ~ int_less(int_zero,X4)
      | plus(X1,X4) != X0
      | ~ int_leq(X1,n) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ~ int_leq(X0,n)
      | ~ int_leq(int_one,X1)
      | ~ int_leq(int_one,X0)
      | ( ! [X2] :
            ( ~ int_less(int_zero,X2)
            | plus(X0,X2) != X1
            | ! [X3] :
                ( ~ int_leq(X3,X0)
                | ~ int_leq(int_one,X3)
                | real_zero = a(X3,plus(X3,X2)) ) )
        & ! [X4] :
            ( ! [X5] :
                ( ~ int_leq(int_one,X5)
                | ~ int_leq(X5,X1)
                | real_zero = a(plus(X5,X4),X5) )
            | ~ int_less(int_zero,X4)
            | plus(X1,X4) != X0 )
        & ! [X6] :
            ( ~ int_leq(X6,X1)
            | ~ int_leq(int_one,X6)
            | real_one = a(X6,X6) ) )
      | ~ int_leq(X1,n) ),
    inference(rectify,[],[f27]) ).

fof(f27,plain,
    ! [X1,X0] :
      ( ~ int_leq(X1,n)
      | ~ int_leq(int_one,X0)
      | ~ int_leq(int_one,X1)
      | ( ! [X4] :
            ( ~ int_less(int_zero,X4)
            | plus(X1,X4) != X0
            | ! [X5] :
                ( ~ int_leq(X5,X1)
                | ~ int_leq(int_one,X5)
                | real_zero = a(X5,plus(X5,X4)) ) )
        & ! [X2] :
            ( ! [X3] :
                ( ~ int_leq(int_one,X3)
                | ~ int_leq(X3,X0)
                | real_zero = a(plus(X3,X2),X3) )
            | ~ int_less(int_zero,X2)
            | plus(X0,X2) != X1 )
        & ! [X6] :
            ( ~ int_leq(X6,X0)
            | ~ int_leq(int_one,X6)
            | real_one = a(X6,X6) ) )
      | ~ int_leq(X0,n) ),
    inference(flattening,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ! [X3] :
                ( real_zero = a(plus(X3,X2),X3)
                | ~ int_leq(int_one,X3)
                | ~ int_leq(X3,X0) )
            | ~ int_less(int_zero,X2)
            | plus(X0,X2) != X1 )
        & ! [X6] :
            ( real_one = a(X6,X6)
            | ~ int_leq(X6,X0)
            | ~ int_leq(int_one,X6) )
        & ! [X4] :
            ( ! [X5] :
                ( real_zero = a(X5,plus(X5,X4))
                | ~ int_leq(X5,X1)
                | ~ int_leq(int_one,X5) )
            | ~ int_less(int_zero,X4)
            | plus(X1,X4) != X0 ) )
      | ~ int_leq(X1,n)
      | ~ int_leq(X0,n)
      | ~ int_leq(int_one,X1)
      | ~ int_leq(int_one,X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ( int_leq(X1,n)
        & int_leq(X0,n)
        & int_leq(int_one,X1)
        & int_leq(int_one,X0) )
     => ( ! [X2] :
            ( ( int_less(int_zero,X2)
              & plus(X0,X2) = X1 )
           => ! [X3] :
                ( ( int_leq(int_one,X3)
                  & int_leq(X3,X0) )
               => real_zero = a(plus(X3,X2),X3) ) )
        & ! [X6] :
            ( ( int_leq(X6,X0)
              & int_leq(int_one,X6) )
           => real_one = a(X6,X6) )
        & ! [X4] :
            ( ( int_less(int_zero,X4)
              & plus(X1,X4) = X0 )
           => ! [X5] :
                ( ( int_leq(X5,X1)
                  & int_leq(int_one,X5) )
               => real_zero = a(X5,plus(X5,X4)) ) ) ) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X1,X0] :
      ( ( int_leq(X0,n)
        & int_leq(X1,n)
        & int_leq(int_one,X1)
        & int_leq(int_one,X0) )
     => ( ! [X7] :
            ( ( plus(X1,X7) = X0
              & int_less(int_zero,X7) )
           => ! [X2] :
                ( ( int_leq(int_one,X2)
                  & int_leq(X2,X1) )
               => real_zero = a(plus(X2,X7),X2) ) )
        & ! [X7] :
            ( ( plus(X0,X7) = X1
              & int_less(int_zero,X7) )
           => ! [X2] :
                ( ( int_leq(X2,X0)
                  & int_leq(int_one,X2) )
               => real_zero = a(X2,plus(X2,X7)) ) )
        & ! [X2] :
            ( ( int_leq(int_one,X2)
              & int_leq(X2,X1) )
           => real_one = a(X2,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',qih) ).

fof(f559,plain,
    ( spl3_3
    | ~ spl3_4
    | ~ spl3_7 ),
    inference(avatar_contradiction_clause,[],[f558]) ).

fof(f558,plain,
    ( $false
    | spl3_3
    | ~ spl3_4
    | ~ spl3_7 ),
    inference(subsumption_resolution,[],[f523,f332]) ).

fof(f332,plain,
    ( real_one = a(sK0,sK0)
    | ~ spl3_4 ),
    inference(subsumption_resolution,[],[f326,f56]) ).

fof(f326,plain,
    ( ~ int_leq(int_one,sK0)
    | real_one = a(sK0,sK0)
    | ~ spl3_4 ),
    inference(resolution,[],[f201,f75]) ).

fof(f201,plain,
    ( ! [X1] :
        ( ~ int_leq(X1,sK0)
        | ~ int_leq(int_one,X1)
        | real_one = a(X1,X1) )
    | ~ spl3_4 ),
    inference(subsumption_resolution,[],[f191,f56]) ).

fof(f191,plain,
    ( ! [X1] :
        ( ~ int_leq(X1,sK0)
        | real_one = a(X1,X1)
        | ~ int_leq(int_one,sK0)
        | ~ int_leq(int_one,X1) )
    | ~ spl3_4 ),
    inference(resolution,[],[f95,f57]) ).

fof(f95,plain,
    ( ! [X1,X6] :
        ( ~ int_leq(X1,n)
        | ~ int_leq(int_one,X1)
        | ~ int_leq(X6,X1)
        | ~ int_leq(int_one,X6)
        | real_one = a(X6,X6) )
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f94,plain,
    ( spl3_4
  <=> ! [X6,X1] :
        ( ~ int_leq(X6,X1)
        | ~ int_leq(int_one,X1)
        | ~ int_leq(int_one,X6)
        | ~ int_leq(X1,n)
        | real_one = a(X6,X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f523,plain,
    ( real_one != a(sK0,sK0)
    | spl3_3
    | ~ spl3_7 ),
    inference(backward_demodulation,[],[f91,f108]) ).

fof(f91,plain,
    ( real_one != a(sK0,sK1)
    | spl3_3 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f89,plain,
    ( spl3_3
  <=> real_one = a(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f518,plain,
    ( ~ spl3_6
    | spl3_15 ),
    inference(avatar_split_clause,[],[f514,f467,f101]) ).

fof(f467,plain,
    ( spl3_15
  <=> int_less(int_zero,sK2(sK1,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).

fof(f514,plain,
    ( ~ int_less(sK0,sK1)
    | spl3_15 ),
    inference(resolution,[],[f469,f59]) ).

fof(f469,plain,
    ( ~ int_less(int_zero,sK2(sK1,sK0))
    | spl3_15 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f477,plain,
    ( ~ spl3_15
    | spl3_16
    | ~ spl3_6 ),
    inference(avatar_split_clause,[],[f473,f101,f475,f467]) ).

fof(f473,plain,
    ( ! [X1] :
        ( ~ int_leq(X1,sK0)
        | ~ int_less(int_zero,sK2(sK1,sK0))
        | ~ int_leq(int_one,X1)
        | real_zero = a(X1,plus(X1,sK2(sK1,sK0))) )
    | ~ spl3_6 ),
    inference(subsumption_resolution,[],[f472,f55]) ).

fof(f472,plain,
    ( ! [X1] :
        ( ~ int_less(int_zero,sK2(sK1,sK0))
        | ~ int_leq(int_one,X1)
        | real_zero = a(X1,plus(X1,sK2(sK1,sK0)))
        | ~ int_leq(X1,sK0)
        | ~ int_leq(sK1,n) )
    | ~ spl3_6 ),
    inference(subsumption_resolution,[],[f458,f46]) ).

fof(f458,plain,
    ( ! [X1] :
        ( real_zero = a(X1,plus(X1,sK2(sK1,sK0)))
        | ~ int_leq(X1,sK0)
        | ~ int_leq(int_one,sK1)
        | ~ int_leq(sK1,n)
        | ~ int_leq(int_one,X1)
        | ~ int_less(int_zero,sK2(sK1,sK0)) )
    | ~ spl3_6 ),
    inference(superposition,[],[f206,f450]) ).

fof(f450,plain,
    ( plus(sK0,sK2(sK1,sK0)) = sK1
    | ~ spl3_6 ),
    inference(resolution,[],[f103,f60]) ).

fof(f206,plain,
    ! [X2,X3] :
      ( ~ int_leq(plus(sK0,X2),n)
      | real_zero = a(X3,plus(X3,X2))
      | ~ int_leq(int_one,plus(sK0,X2))
      | ~ int_leq(int_one,X3)
      | ~ int_less(int_zero,X2)
      | ~ int_leq(X3,sK0) ),
    inference(subsumption_resolution,[],[f204,f56]) ).

fof(f204,plain,
    ! [X2,X3] :
      ( ~ int_leq(int_one,plus(sK0,X2))
      | ~ int_leq(int_one,X3)
      | ~ int_leq(X3,sK0)
      | real_zero = a(X3,plus(X3,X2))
      | ~ int_less(int_zero,X2)
      | ~ int_leq(plus(sK0,X2),n)
      | ~ int_leq(int_one,sK0) ),
    inference(resolution,[],[f76,f57]) ).

fof(f76,plain,
    ! [X2,X3,X0] :
      ( ~ int_leq(X0,n)
      | ~ int_leq(plus(X0,X2),n)
      | ~ int_leq(int_one,plus(X0,X2))
      | real_zero = a(X3,plus(X3,X2))
      | ~ int_leq(int_one,X3)
      | ~ int_less(int_zero,X2)
      | ~ int_leq(int_one,X0)
      | ~ int_leq(X3,X0) ),
    inference(equality_resolution,[],[f68]) ).

fof(f68,plain,
    ! [X2,X3,X0,X1] :
      ( ~ int_leq(X0,n)
      | ~ int_leq(int_one,X1)
      | ~ int_leq(int_one,X0)
      | ~ int_less(int_zero,X2)
      | plus(X0,X2) != X1
      | ~ int_leq(X3,X0)
      | ~ int_leq(int_one,X3)
      | real_zero = a(X3,plus(X3,X2))
      | ~ int_leq(X1,n) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f114,plain,
    ( ~ spl3_1
    | spl3_7
    | spl3_2 ),
    inference(avatar_split_clause,[],[f48,f85,f106,f81]) ).

fof(f48,plain,
    ( int_less(sK1,sK0)
    | sK1 = sK0
    | real_zero != a(sK0,sK1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f112,plain,
    ( ~ spl3_1
    | ~ spl3_3 ),
    inference(avatar_split_clause,[],[f78,f89,f81]) ).

fof(f78,plain,
    ( real_one != a(sK0,sK1)
    | real_zero != a(sK0,sK1) ),
    inference(duplicate_literal_removal,[],[f54]) ).

fof(f54,plain,
    ( real_zero != a(sK0,sK1)
    | real_zero != a(sK0,sK1)
    | real_one != a(sK0,sK1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f110,plain,
    ( spl3_2
    | spl3_7
    | spl3_6 ),
    inference(avatar_split_clause,[],[f47,f101,f106,f85]) ).

fof(f47,plain,
    ( int_less(sK0,sK1)
    | sK1 = sK0
    | int_less(sK1,sK0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f109,plain,
    ( spl3_7
    | ~ spl3_1 ),
    inference(avatar_split_clause,[],[f79,f81,f106]) ).

fof(f79,plain,
    ( real_zero != a(sK0,sK1)
    | sK1 = sK0 ),
    inference(duplicate_literal_removal,[],[f52]) ).

fof(f52,plain,
    ( sK1 = sK0
    | real_zero != a(sK0,sK1)
    | real_zero != a(sK0,sK1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f104,plain,
    ( spl3_6
    | ~ spl3_3
    | spl3_2 ),
    inference(avatar_split_clause,[],[f49,f85,f89,f101]) ).

fof(f49,plain,
    ( int_less(sK1,sK0)
    | real_one != a(sK0,sK1)
    | int_less(sK0,sK1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f99,plain,
    ( spl3_4
    | spl3_5 ),
    inference(avatar_split_clause,[],[f66,f97,f94]) ).

fof(f66,plain,
    ! [X0,X1,X6] :
      ( ~ int_leq(int_one,X0)
      | ~ int_leq(X0,n)
      | ~ int_leq(X6,X1)
      | real_one = a(X6,X6)
      | ~ int_leq(X1,n)
      | ~ int_leq(int_one,X6)
      | ~ int_leq(int_one,X1) ),
    inference(cnf_transformation,[],[f39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV491+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n028.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   : Tue Aug 30 19:41:49 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.50  % (24646)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)
% 0.21/0.51  % (24641)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)
% 0.21/0.51  % (24638)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)
% 0.21/0.52  % (24646)Instruction limit reached!
% 0.21/0.52  % (24646)------------------------------
% 0.21/0.52  % (24646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (24654)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)
% 0.21/0.52  % (24641)Instruction limit reached!
% 0.21/0.52  % (24641)------------------------------
% 0.21/0.52  % (24641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (24657)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)
% 0.21/0.52  % (24632)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)
% 0.21/0.53  % (24649)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)
% 0.21/0.53  % (24634)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)
% 0.21/0.53  % (24631)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.53  % (24649)Instruction limit reached!
% 0.21/0.53  % (24649)------------------------------
% 0.21/0.53  % (24649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (24649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (24649)Termination reason: Unknown
% 0.21/0.53  % (24649)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (24649)Memory used [KB]: 1407
% 0.21/0.53  % (24649)Time elapsed: 0.005 s
% 0.21/0.53  % (24649)Instructions burned: 3 (million)
% 0.21/0.53  % (24649)------------------------------
% 0.21/0.53  % (24649)------------------------------
% 0.21/0.53  % (24633)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)
% 0.21/0.53  % (24641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (24641)Termination reason: Unknown
% 0.21/0.53  % (24641)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (24641)Memory used [KB]: 6012
% 0.21/0.53  % (24641)Time elapsed: 0.100 s
% 0.21/0.53  % (24641)Instructions burned: 12 (million)
% 0.21/0.53  % (24641)------------------------------
% 0.21/0.53  % (24641)------------------------------
% 0.21/0.53  % (24633)Instruction limit reached!
% 0.21/0.53  % (24633)------------------------------
% 0.21/0.53  % (24633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (24633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (24633)Termination reason: Unknown
% 0.21/0.53  % (24633)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (24633)Memory used [KB]: 6012
% 0.21/0.53  % (24633)Time elapsed: 0.127 s
% 0.21/0.53  % (24633)Instructions burned: 4 (million)
% 0.21/0.53  % (24633)------------------------------
% 0.21/0.53  % (24633)------------------------------
% 0.21/0.53  % (24658)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)
% 0.21/0.53  % (24637)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)
% 0.21/0.53  % (24636)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)
% 0.21/0.53  % (24646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (24646)Termination reason: Unknown
% 0.21/0.53  % (24646)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (24646)Memory used [KB]: 6012
% 0.21/0.53  % (24646)Time elapsed: 0.108 s
% 0.21/0.53  % (24646)Instructions burned: 7 (million)
% 0.21/0.53  % (24646)------------------------------
% 0.21/0.53  % (24646)------------------------------
% 0.21/0.53  % (24635)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)
% 0.21/0.54  % (24648)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.54  % (24648)Instruction limit reached!
% 0.21/0.54  % (24648)------------------------------
% 0.21/0.54  % (24648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (24648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (24648)Termination reason: Unknown
% 0.21/0.54  % (24648)Termination phase: Finite model building preprocessing
% 0.21/0.54  
% 0.21/0.54  % (24648)Memory used [KB]: 6012
% 0.21/0.54  % (24644)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)
% 0.21/0.54  % (24648)Time elapsed: 0.003 s
% 0.21/0.54  % (24648)Instructions burned: 4 (million)
% 0.21/0.54  % (24648)------------------------------
% 0.21/0.54  % (24648)------------------------------
% 0.21/0.54  % (24653)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)
% 0.21/0.54  % (24660)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)
% 0.21/0.54  % (24647)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)
% 0.21/0.54  % (24640)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)
% 0.21/0.54  % (24650)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)
% 0.21/0.54  % (24652)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)
% 0.21/0.54  % (24656)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)
% 0.21/0.55  % (24639)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)
% 0.21/0.55  % (24659)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)
% 0.21/0.55  % (24659)Refutation not found, incomplete strategy% (24659)------------------------------
% 0.21/0.55  % (24659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (24659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (24659)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55  
% 0.21/0.55  % (24659)Memory used [KB]: 6012
% 0.21/0.55  % (24659)Time elapsed: 0.147 s
% 0.21/0.55  % (24659)Instructions burned: 3 (million)
% 0.21/0.55  % (24659)------------------------------
% 0.21/0.55  % (24659)------------------------------
% 0.21/0.55  % (24642)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)
% 0.21/0.55  % (24643)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)
% 0.21/0.55  % (24645)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)
% 0.21/0.55  % (24651)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)
% 0.21/0.55  % (24632)Instruction limit reached!
% 0.21/0.55  % (24632)------------------------------
% 0.21/0.55  % (24632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (24632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (24632)Termination reason: Unknown
% 0.21/0.55  % (24632)Termination phase: Saturation
% 0.21/0.55  
% 0.21/0.55  % (24632)Memory used [KB]: 6140
% 0.21/0.55  % (24632)Time elapsed: 0.148 s
% 0.21/0.55  % (24632)Instructions burned: 13 (million)
% 0.21/0.55  % (24632)------------------------------
% 0.21/0.55  % (24632)------------------------------
% 0.21/0.55  % (24645)Instruction limit reached!
% 0.21/0.55  % (24645)------------------------------
% 0.21/0.55  % (24645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (24645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (24645)Termination reason: Unknown
% 0.21/0.55  % (24645)Termination phase: Saturation
% 0.21/0.55  
% 0.21/0.55  % (24645)Memory used [KB]: 6012
% 0.21/0.55  % (24645)Time elapsed: 0.004 s
% 0.21/0.55  % (24645)Instructions burned: 4 (million)
% 0.21/0.55  % (24645)------------------------------
% 0.21/0.55  % (24645)------------------------------
% 0.21/0.55  % (24655)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)
% 0.21/0.56  % (24635)Instruction limit reached!
% 0.21/0.56  % (24635)------------------------------
% 0.21/0.56  % (24635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (24635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (24635)Termination reason: Unknown
% 0.21/0.56  % (24635)Termination phase: Saturation
% 0.21/0.56  
% 0.21/0.56  % (24635)Memory used [KB]: 6140
% 0.21/0.56  % (24635)Time elapsed: 0.154 s
% 0.21/0.56  % (24635)Instructions burned: 13 (million)
% 0.21/0.56  % (24635)------------------------------
% 0.21/0.56  % (24635)------------------------------
% 0.21/0.56  % (24636)Instruction limit reached!
% 0.21/0.56  % (24636)------------------------------
% 0.21/0.56  % (24636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (24636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (24636)Termination reason: Unknown
% 0.21/0.56  % (24636)Termination phase: Saturation
% 0.21/0.56  
% 0.21/0.56  % (24636)Memory used [KB]: 1535
% 0.21/0.56  % (24636)Time elapsed: 0.160 s
% 0.21/0.56  % (24636)Instructions burned: 16 (million)
% 0.21/0.56  % (24636)------------------------------
% 0.21/0.56  % (24636)------------------------------
% 0.21/0.56  % (24650)Instruction limit reached!
% 0.21/0.56  % (24650)------------------------------
% 0.21/0.56  % (24650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (24650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (24650)Termination reason: Unknown
% 0.21/0.56  % (24650)Termination phase: Saturation
% 0.21/0.56  
% 0.21/0.56  % (24650)Memory used [KB]: 6140
% 0.21/0.56  % (24650)Time elapsed: 0.143 s
% 0.21/0.56  % (24650)Instructions burned: 11 (million)
% 0.21/0.56  % (24650)------------------------------
% 0.21/0.56  % (24650)------------------------------
% 0.21/0.57  % (24638)Instruction limit reached!
% 0.21/0.57  % (24638)------------------------------
% 0.21/0.57  % (24638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (24638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (24638)Termination reason: Unknown
% 0.21/0.57  % (24638)Termination phase: Saturation
% 0.21/0.57  
% 0.21/0.57  % (24638)Memory used [KB]: 6524
% 0.21/0.57  % (24638)Time elapsed: 0.167 s
% 0.21/0.57  % (24638)Instructions burned: 40 (million)
% 0.21/0.57  % (24638)------------------------------
% 0.21/0.57  % (24638)------------------------------
% 0.21/0.57  % (24643)Instruction limit reached!
% 0.21/0.57  % (24643)------------------------------
% 0.21/0.57  % (24643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (24643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (24643)Termination reason: Unknown
% 0.21/0.57  % (24643)Termination phase: Saturation
% 0.21/0.57  
% 0.21/0.57  % (24643)Memory used [KB]: 1663
% 0.21/0.57  % (24643)Time elapsed: 0.155 s
% 0.21/0.57  % (24643)Instructions burned: 16 (million)
% 0.21/0.57  % (24643)------------------------------
% 0.21/0.57  % (24643)------------------------------
% 0.21/0.57  % (24658)Instruction limit reached!
% 0.21/0.57  % (24658)------------------------------
% 0.21/0.57  % (24658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (24658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (24658)Termination reason: Unknown
% 0.21/0.57  % (24658)Termination phase: Saturation
% 0.21/0.57  
% 0.21/0.57  % (24658)Memory used [KB]: 6268
% 0.21/0.57  % (24658)Time elapsed: 0.159 s
% 0.21/0.57  % (24658)Instructions burned: 25 (million)
% 0.21/0.57  % (24658)------------------------------
% 0.21/0.57  % (24658)------------------------------
% 0.21/0.57  % (24642)Instruction limit reached!
% 0.21/0.57  % (24642)------------------------------
% 0.21/0.57  % (24642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (24642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (24642)Termination reason: Unknown
% 0.21/0.57  % (24642)Termination phase: Saturation
% 0.21/0.57  
% 0.21/0.57  % (24642)Memory used [KB]: 6012
% 0.21/0.57  % (24642)Time elapsed: 0.150 s
% 0.21/0.57  % (24642)Instructions burned: 7 (million)
% 0.21/0.57  % (24642)------------------------------
% 0.21/0.57  % (24642)------------------------------
% 0.21/0.58  % (24660)Instruction limit reached!
% 0.21/0.58  % (24660)------------------------------
% 0.21/0.58  % (24660)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (24660)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (24660)Termination reason: Unknown
% 0.21/0.58  % (24660)Termination phase: Saturation
% 0.21/0.58  
% 0.21/0.58  % (24660)Memory used [KB]: 6140
% 0.21/0.58  % (24660)Time elapsed: 0.167 s
% 0.21/0.58  % (24660)Instructions burned: 25 (million)
% 0.21/0.58  % (24660)------------------------------
% 0.21/0.58  % (24660)------------------------------
% 0.21/0.60  % (24640)Instruction limit reached!
% 0.21/0.60  % (24640)------------------------------
% 0.21/0.60  % (24640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60  % (24640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60  % (24640)Termination reason: Unknown
% 0.21/0.60  % (24640)Termination phase: Saturation
% 0.21/0.60  
% 0.21/0.60  % (24640)Memory used [KB]: 6524
% 0.21/0.60  % (24640)Time elapsed: 0.180 s
% 0.21/0.60  % (24640)Instructions burned: 34 (million)
% 0.21/0.60  % (24640)------------------------------
% 0.21/0.60  % (24640)------------------------------
% 0.21/0.60  % (24651)Instruction limit reached!
% 0.21/0.60  % (24651)------------------------------
% 0.21/0.60  % (24651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60  % (24651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60  % (24651)Termination reason: Unknown
% 0.21/0.60  % (24651)Termination phase: Saturation
% 0.21/0.60  
% 0.21/0.60  % (24651)Memory used [KB]: 6268
% 0.21/0.60  % (24651)Time elapsed: 0.203 s
% 0.21/0.60  % (24651)Instructions burned: 30 (million)
% 0.21/0.60  % (24651)------------------------------
% 0.21/0.60  % (24651)------------------------------
% 1.96/0.60  % (24654)Instruction limit reached!
% 1.96/0.60  % (24654)------------------------------
% 1.96/0.60  % (24654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.60  % (24654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.60  % (24654)Termination reason: Unknown
% 1.96/0.60  % (24654)Termination phase: Saturation
% 1.96/0.60  
% 1.96/0.60  % (24654)Memory used [KB]: 1918
% 1.96/0.60  % (24654)Time elapsed: 0.170 s
% 1.96/0.60  % (24654)Instructions burned: 45 (million)
% 1.96/0.60  % (24654)------------------------------
% 1.96/0.60  % (24654)------------------------------
% 1.96/0.60  % (24634)Instruction limit reached!
% 1.96/0.60  % (24634)------------------------------
% 1.96/0.60  % (24634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.60  % (24634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.60  % (24634)Termination reason: Unknown
% 1.96/0.60  % (24634)Termination phase: Saturation
% 1.96/0.60  
% 1.96/0.60  % (24634)Memory used [KB]: 6780
% 1.96/0.60  % (24634)Time elapsed: 0.201 s
% 1.96/0.60  % (24634)Instructions burned: 51 (million)
% 1.96/0.60  % (24634)------------------------------
% 1.96/0.60  % (24634)------------------------------
% 1.96/0.61  % (24637)Instruction limit reached!
% 1.96/0.61  % (24637)------------------------------
% 1.96/0.61  % (24637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.61  % (24637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.61  % (24637)Termination reason: Unknown
% 1.96/0.61  % (24637)Termination phase: Saturation
% 1.96/0.61  
% 1.96/0.61  % (24637)Memory used [KB]: 6268
% 1.96/0.61  % (24637)Time elapsed: 0.172 s
% 1.96/0.61  % (24637)Instructions burned: 40 (million)
% 1.96/0.61  % (24637)------------------------------
% 1.96/0.61  % (24637)------------------------------
% 1.96/0.61  % (24644)Instruction limit reached!
% 1.96/0.61  % (24644)------------------------------
% 1.96/0.61  % (24644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.61  % (24644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.61  % (24644)Termination reason: Unknown
% 1.96/0.61  % (24644)Termination phase: Saturation
% 1.96/0.61  
% 1.96/0.61  % (24644)Memory used [KB]: 6652
% 1.96/0.61  % (24644)Time elapsed: 0.207 s
% 1.96/0.61  % (24644)Instructions burned: 51 (million)
% 1.96/0.61  % (24644)------------------------------
% 1.96/0.61  % (24644)------------------------------
% 2.26/0.64  % (24655)Instruction limit reached!
% 2.26/0.64  % (24655)------------------------------
% 2.26/0.64  % (24655)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.64  % (24655)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.64  % (24655)Termination reason: Unknown
% 2.26/0.64  % (24655)Termination phase: Saturation
% 2.26/0.64  
% 2.26/0.64  % (24655)Memory used [KB]: 6396
% 2.26/0.64  % (24655)Time elapsed: 0.241 s
% 2.26/0.64  % (24655)Instructions burned: 51 (million)
% 2.26/0.64  % (24655)------------------------------
% 2.26/0.64  % (24655)------------------------------
% 2.26/0.64  % (24647)Instruction limit reached!
% 2.26/0.64  % (24647)------------------------------
% 2.26/0.64  % (24647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.64  % (24647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.64  % (24647)Termination reason: Unknown
% 2.26/0.64  % (24647)Termination phase: Saturation
% 2.26/0.64  
% 2.26/0.64  % (24647)Memory used [KB]: 6524
% 2.26/0.64  % (24647)Time elapsed: 0.204 s
% 2.26/0.64  % (24647)Instructions burned: 50 (million)
% 2.26/0.64  % (24647)------------------------------
% 2.26/0.64  % (24647)------------------------------
% 2.26/0.64  % (24639)Instruction limit reached!
% 2.26/0.64  % (24639)------------------------------
% 2.26/0.64  % (24639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.64  % (24639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.64  % (24639)Termination reason: Unknown
% 2.26/0.64  % (24639)Termination phase: Saturation
% 2.26/0.64  
% 2.26/0.64  % (24639)Memory used [KB]: 6396
% 2.26/0.64  % (24639)Time elapsed: 0.211 s
% 2.26/0.64  % (24639)Instructions burned: 49 (million)
% 2.26/0.64  % (24639)------------------------------
% 2.26/0.64  % (24639)------------------------------
% 2.26/0.66  % (24662)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.26/0.66  % (24662)Instruction limit reached!
% 2.26/0.66  % (24662)------------------------------
% 2.26/0.66  % (24662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.67  % (24653)Instruction limit reached!
% 2.26/0.67  % (24653)------------------------------
% 2.26/0.67  % (24653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.67  % (24653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.67  % (24653)Termination reason: Unknown
% 2.26/0.67  % (24653)Termination phase: Saturation
% 2.26/0.67  
% 2.26/0.67  % (24653)Memory used [KB]: 7164
% 2.26/0.67  % (24653)Time elapsed: 0.205 s
% 2.26/0.67  % (24653)Instructions burned: 83 (million)
% 2.26/0.67  % (24653)------------------------------
% 2.26/0.67  % (24653)------------------------------
% 2.26/0.67  % (24663)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.26/0.67  % (24657)Instruction limit reached!
% 2.26/0.67  % (24657)------------------------------
% 2.26/0.67  % (24657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.67  % (24666)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.26/0.67  % (24662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.67  % (24662)Termination reason: Unknown
% 2.26/0.67  % (24662)Termination phase: Saturation
% 2.26/0.67  
% 2.26/0.67  % (24662)Memory used [KB]: 10490
% 2.26/0.67  % (24662)Time elapsed: 0.032 s
% 2.26/0.67  % (24662)Instructions burned: 8 (million)
% 2.26/0.67  % (24662)------------------------------
% 2.26/0.67  % (24662)------------------------------
% 2.26/0.67  % (24661)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.26/0.67  % (24665)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.26/0.67  % (24657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.67  % (24657)Termination reason: Unknown
% 2.26/0.67  % (24657)Termination phase: Saturation
% 2.26/0.67  
% 2.26/0.67  % (24657)Memory used [KB]: 7419
% 2.26/0.67  % (24657)Time elapsed: 0.242 s
% 2.26/0.67  % (24657)Instructions burned: 100 (million)
% 2.26/0.67  % (24657)------------------------------
% 2.26/0.67  % (24657)------------------------------
% 2.26/0.68  % (24656)First to succeed.
% 2.26/0.68  % (24668)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 2.26/0.69  % (24664)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.26/0.69  % (24670)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.26/0.69  % (24667)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.26/0.70  % (24673)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.26/0.70  % (24675)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.26/0.70  % (24656)Refutation found. Thanks to Tanya!
% 2.26/0.70  % SZS status Theorem for theBenchmark
% 2.26/0.70  % SZS output start Proof for theBenchmark
% See solution above
% 2.70/0.70  % (24656)------------------------------
% 2.70/0.70  % (24656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.70  % (24656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.70  % (24656)Termination reason: Refutation
% 2.70/0.70  
% 2.70/0.70  % (24656)Memory used [KB]: 6652
% 2.70/0.70  % (24656)Time elapsed: 0.263 s
% 2.70/0.70  % (24656)Instructions burned: 76 (million)
% 2.70/0.70  % (24656)------------------------------
% 2.70/0.70  % (24656)------------------------------
% 2.70/0.70  % (24630)Success in time 0.332 s
%------------------------------------------------------------------------------