TSTP Solution File: SWV491+4 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV491+4 : 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 : 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 : Wed Aug 31 18:50:12 EDT 2022

% Result   : Theorem 2.56s 0.71s
% Output   : Refutation 2.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  103 (   9 unt;   0 def)
%            Number of atoms       :  526 ( 116 equ)
%            Maximal formula atoms :   17 (   5 avg)
%            Number of connectives :  740 ( 317   ~; 312   |;  81   &)
%                                         (   7 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   6 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :  138 ( 128   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1048,plain,
    $false,
    inference(avatar_sat_refutation,[],[f82,f87,f95,f956,f975,f982,f1042]) ).

fof(f1042,plain,
    ( ~ spl3_1
    | ~ spl3_2
    | ~ spl3_4 ),
    inference(avatar_contradiction_clause,[],[f1041]) ).

fof(f1041,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_2
    | ~ spl3_4 ),
    inference(subsumption_resolution,[],[f1040,f51]) ).

fof(f51,plain,
    int_leq(int_one,sK1),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ( int_leq(sK1,n)
    & int_leq(sK2,n)
    & int_leq(int_one,sK1)
    & ( ( real_zero != a(sK2,sK1)
        & sK1 != sK2 )
      | ( sK1 = sK2
        & real_one != a(sK2,sK1) ) )
    & int_leq(int_one,sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f24,f33]) ).

fof(f33,plain,
    ( ? [X0,X1] :
        ( int_leq(X0,n)
        & int_leq(X1,n)
        & int_leq(int_one,X0)
        & ( ( real_zero != a(X1,X0)
            & X0 != X1 )
          | ( X0 = X1
            & real_one != a(X1,X0) ) )
        & int_leq(int_one,X1) )
   => ( int_leq(sK1,n)
      & int_leq(sK2,n)
      & int_leq(int_one,sK1)
      & ( ( real_zero != a(sK2,sK1)
          & sK1 != sK2 )
        | ( sK1 = sK2
          & real_one != a(sK2,sK1) ) )
      & int_leq(int_one,sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f24,plain,
    ? [X0,X1] :
      ( int_leq(X0,n)
      & int_leq(X1,n)
      & int_leq(int_one,X0)
      & ( ( real_zero != a(X1,X0)
          & X0 != X1 )
        | ( X0 = X1
          & real_one != a(X1,X0) ) )
      & int_leq(int_one,X1) ),
    inference(flattening,[],[f23]) ).

fof(f23,plain,
    ? [X0,X1] :
      ( ( ( real_zero != a(X1,X0)
          & X0 != X1 )
        | ( X0 = X1
          & real_one != a(X1,X0) ) )
      & int_leq(int_one,X1)
      & int_leq(X1,n)
      & int_leq(X0,n)
      & int_leq(int_one,X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,plain,
    ~ ! [X0,X1] :
        ( ( int_leq(int_one,X1)
          & int_leq(X1,n)
          & int_leq(X0,n)
          & int_leq(int_one,X0) )
       => ( ( X0 = X1
           => real_one = a(X1,X0) )
          & ( X0 != X1
           => real_zero = a(X1,X0) ) ) ),
    inference(rectify,[],[f14]) ).

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

fof(f13,conjecture,
    ! [X1,X0] :
      ( ( int_leq(X0,n)
        & int_leq(int_one,X1)
        & int_leq(int_one,X0)
        & int_leq(X1,n) )
     => ( ( X0 != X1
         => real_zero = a(X0,X1) )
        & ( X0 = X1
         => real_one = a(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id) ).

fof(f1040,plain,
    ( ~ int_leq(int_one,sK1)
    | ~ spl3_1
    | ~ spl3_2
    | ~ spl3_4 ),
    inference(subsumption_resolution,[],[f1034,f53]) ).

fof(f53,plain,
    int_leq(sK1,n),
    inference(cnf_transformation,[],[f34]) ).

fof(f1034,plain,
    ( ~ int_leq(sK1,n)
    | ~ int_leq(int_one,sK1)
    | ~ spl3_1
    | ~ spl3_2
    | ~ spl3_4 ),
    inference(resolution,[],[f1028,f72]) ).

fof(f72,plain,
    ! [X1] : int_leq(X1,X1),
    inference(equality_resolution,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( int_leq(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ( int_leq(X0,X1)
        | ( X0 != X1
          & ~ int_less(X0,X1) ) )
      & ( X0 = X1
        | int_less(X0,X1)
        | ~ int_leq(X0,X1) ) ),
    inference(flattening,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ( int_leq(X0,X1)
        | ( X0 != X1
          & ~ int_less(X0,X1) ) )
      & ( X0 = X1
        | int_less(X0,X1)
        | ~ int_leq(X0,X1) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( int_leq(X0,X1)
    <=> ( X0 = X1
        | int_less(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_leq) ).

fof(f1028,plain,
    ( ! [X4] :
        ( ~ int_leq(sK1,X4)
        | ~ int_leq(X4,n)
        | ~ int_leq(int_one,X4) )
    | ~ spl3_1
    | ~ spl3_2
    | ~ spl3_4 ),
    inference(subsumption_resolution,[],[f1027,f55]) ).

fof(f55,plain,
    real_zero != real_one,
    inference(cnf_transformation,[],[f11]) ).

fof(f11,axiom,
    real_zero != real_one,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_constants) ).

fof(f1027,plain,
    ( ! [X4] :
        ( ~ int_leq(X4,n)
        | real_zero = real_one
        | ~ int_leq(int_one,X4)
        | ~ int_leq(sK1,X4) )
    | ~ spl3_1
    | ~ spl3_2
    | ~ spl3_4 ),
    inference(subsumption_resolution,[],[f1022,f51]) ).

fof(f1022,plain,
    ( ! [X4] :
        ( ~ int_leq(sK1,X4)
        | ~ int_leq(int_one,sK1)
        | real_zero = real_one
        | ~ int_leq(X4,n)
        | ~ int_leq(int_one,X4) )
    | ~ spl3_1
    | ~ spl3_2
    | ~ spl3_4 ),
    inference(superposition,[],[f984,f91]) ).

fof(f91,plain,
    ( ! [X1,X4] :
        ( real_one = a(X4,X4)
        | ~ int_leq(int_one,X1)
        | ~ int_leq(X1,n)
        | ~ int_leq(X4,X1)
        | ~ int_leq(int_one,X4) )
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f90,plain,
    ( spl3_4
  <=> ! [X4,X1] :
        ( real_one = a(X4,X4)
        | ~ int_leq(int_one,X4)
        | ~ int_leq(X4,X1)
        | ~ int_leq(int_one,X1)
        | ~ int_leq(X1,n) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f984,plain,
    ( real_zero = a(sK1,sK1)
    | ~ spl3_1
    | ~ spl3_2 ),
    inference(forward_demodulation,[],[f80,f77]) ).

fof(f77,plain,
    ( sK1 = sK2
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f75,plain,
    ( spl3_1
  <=> sK1 = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f80,plain,
    ( real_zero = a(sK2,sK1)
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f79,plain,
    ( spl3_2
  <=> real_zero = a(sK2,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f982,plain,
    ( spl3_1
    | spl3_2 ),
    inference(avatar_contradiction_clause,[],[f981]) ).

fof(f981,plain,
    ( $false
    | spl3_1
    | spl3_2 ),
    inference(subsumption_resolution,[],[f76,f289]) ).

fof(f289,plain,
    ( sK1 = sK2
    | spl3_2 ),
    inference(subsumption_resolution,[],[f288,f259]) ).

fof(f259,plain,
    ( ~ int_less(sK1,sK2)
    | spl3_2 ),
    inference(subsumption_resolution,[],[f258,f53]) ).

fof(f258,plain,
    ( ~ int_less(sK1,sK2)
    | ~ int_leq(sK1,n)
    | spl3_2 ),
    inference(subsumption_resolution,[],[f257,f52]) ).

fof(f52,plain,
    int_leq(sK2,n),
    inference(cnf_transformation,[],[f34]) ).

fof(f257,plain,
    ( ~ int_less(sK1,sK2)
    | ~ int_leq(sK2,n)
    | ~ int_leq(sK1,n)
    | spl3_2 ),
    inference(subsumption_resolution,[],[f256,f51]) ).

fof(f256,plain,
    ( ~ int_less(sK1,sK2)
    | ~ int_leq(int_one,sK1)
    | ~ int_leq(sK1,n)
    | ~ int_leq(sK2,n)
    | spl3_2 ),
    inference(subsumption_resolution,[],[f255,f46]) ).

fof(f46,plain,
    int_leq(int_one,sK2),
    inference(cnf_transformation,[],[f34]) ).

fof(f255,plain,
    ( ~ int_leq(int_one,sK2)
    | ~ int_leq(sK1,n)
    | ~ int_less(sK1,sK2)
    | ~ int_leq(int_one,sK1)
    | ~ int_leq(sK2,n)
    | spl3_2 ),
    inference(trivial_inequality_removal,[],[f251]) ).

fof(f251,plain,
    ( ~ int_leq(sK1,n)
    | real_zero != real_zero
    | ~ int_leq(int_one,sK1)
    | ~ int_leq(sK2,n)
    | ~ int_less(sK1,sK2)
    | ~ int_leq(int_one,sK2)
    | spl3_2 ),
    inference(superposition,[],[f81,f210]) ).

fof(f210,plain,
    ! [X0,X1] :
      ( real_zero = a(X1,X0)
      | ~ int_leq(int_one,X0)
      | ~ int_leq(int_one,X1)
      | ~ int_leq(X1,n)
      | ~ int_leq(X0,n)
      | ~ int_less(X0,X1) ),
    inference(subsumption_resolution,[],[f209,f72]) ).

fof(f209,plain,
    ! [X0,X1] :
      ( ~ int_leq(int_one,X1)
      | ~ int_leq(X1,n)
      | ~ int_leq(int_one,X0)
      | real_zero = a(X1,X0)
      | ~ int_leq(X0,n)
      | ~ int_less(X0,X1)
      | ~ int_leq(X0,X0) ),
    inference(duplicate_literal_removal,[],[f206]) ).

fof(f206,plain,
    ! [X0,X1] :
      ( ~ int_leq(int_one,X0)
      | ~ int_leq(X0,X0)
      | ~ int_less(X0,X1)
      | ~ int_less(X0,X1)
      | ~ int_leq(X0,n)
      | ~ int_leq(X1,n)
      | real_zero = a(X1,X0)
      | ~ int_leq(int_one,X1)
      | ~ int_leq(int_one,X0) ),
    inference(superposition,[],[f172,f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( plus(X0,sK0(X0,X1)) = X1
      | ~ int_less(X0,X1) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ( ( plus(X0,sK0(X0,X1)) = X1
          & int_less(int_zero,sK0(X0,X1)) )
        | ~ int_less(X0,X1) )
      & ( int_less(X0,X1)
        | ! [X3] :
            ( plus(X0,X3) != X1
            | ~ int_less(int_zero,X3) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f30,f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( plus(X0,X2) = X1
          & int_less(int_zero,X2) )
     => ( plus(X0,sK0(X0,X1)) = X1
        & int_less(int_zero,sK0(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( plus(X0,X2) = X1
            & int_less(int_zero,X2) )
        | ~ int_less(X0,X1) )
      & ( int_less(X0,X1)
        | ! [X3] :
            ( plus(X0,X3) != X1
            | ~ int_less(int_zero,X3) ) ) ),
    inference(rectify,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( plus(X0,X2) = X1
            & int_less(int_zero,X2) )
        | ~ int_less(X0,X1) )
      & ( int_less(X0,X1)
        | ! [X2] :
            ( plus(X0,X2) != X1
            | ~ int_less(int_zero,X2) ) ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ? [X2] :
          ( plus(X0,X2) = X1
          & int_less(int_zero,X2) )
    <=> int_less(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_and_inverse) ).

fof(f172,plain,
    ! [X2,X0,X1] :
      ( ~ int_leq(plus(X2,sK0(X0,X1)),n)
      | real_zero = a(X1,X0)
      | ~ int_leq(int_one,X0)
      | ~ int_leq(X2,n)
      | ~ int_leq(int_one,X2)
      | ~ int_leq(X0,X2)
      | ~ int_less(X0,X1)
      | ~ int_leq(int_one,plus(X2,sK0(X0,X1))) ),
    inference(subsumption_resolution,[],[f168,f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( int_less(int_zero,sK0(X0,X1))
      | ~ int_less(X0,X1) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f168,plain,
    ! [X2,X0,X1] :
      ( ~ int_leq(int_one,plus(X2,sK0(X0,X1)))
      | ~ int_leq(X2,n)
      | ~ int_leq(X0,X2)
      | ~ int_leq(int_one,X2)
      | ~ int_less(int_zero,sK0(X0,X1))
      | ~ int_leq(plus(X2,sK0(X0,X1)),n)
      | real_zero = a(X1,X0)
      | ~ int_less(X0,X1)
      | ~ int_leq(int_one,X0) ),
    inference(superposition,[],[f71,f45]) ).

fof(f71,plain,
    ! [X1,X6,X5] :
      ( real_zero = a(plus(X6,X5),X6)
      | ~ int_leq(int_one,X6)
      | ~ int_less(int_zero,X5)
      | ~ int_leq(int_one,X1)
      | ~ int_leq(X6,X1)
      | ~ int_leq(int_one,plus(X1,X5))
      | ~ int_leq(X1,n)
      | ~ int_leq(plus(X1,X5),n) ),
    inference(equality_resolution,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1,X6,X5] :
      ( ~ int_leq(X0,n)
      | real_zero = a(plus(X6,X5),X6)
      | ~ int_leq(int_one,X6)
      | ~ int_leq(X6,X1)
      | plus(X1,X5) != X0
      | ~ int_less(int_zero,X5)
      | ~ int_leq(X1,n)
      | ~ int_leq(int_one,X0)
      | ~ int_leq(int_one,X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ~ int_leq(X0,n)
      | ( ! [X2] :
            ( plus(X0,X2) != X1
            | ! [X3] :
                ( ~ int_leq(int_one,X3)
                | real_zero = a(X3,plus(X3,X2))
                | ~ int_leq(X3,X0) )
            | ~ int_less(int_zero,X2) )
        & ! [X4] :
            ( ~ int_leq(int_one,X4)
            | real_one = a(X4,X4)
            | ~ int_leq(X4,X1) )
        & ! [X5] :
            ( ! [X6] :
                ( real_zero = a(plus(X6,X5),X6)
                | ~ int_leq(int_one,X6)
                | ~ int_leq(X6,X1) )
            | plus(X1,X5) != X0
            | ~ int_less(int_zero,X5) ) )
      | ~ int_leq(X1,n)
      | ~ int_leq(int_one,X0)
      | ~ int_leq(int_one,X1) ),
    inference(rectify,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ~ int_leq(X0,n)
      | ( ! [X5] :
            ( plus(X0,X5) != X1
            | ! [X6] :
                ( ~ int_leq(int_one,X6)
                | real_zero = a(X6,plus(X6,X5))
                | ~ int_leq(X6,X0) )
            | ~ int_less(int_zero,X5) )
        & ! [X2] :
            ( ~ int_leq(int_one,X2)
            | real_one = a(X2,X2)
            | ~ int_leq(X2,X1) )
        & ! [X3] :
            ( ! [X4] :
                ( real_zero = a(plus(X4,X3),X4)
                | ~ int_leq(int_one,X4)
                | ~ int_leq(X4,X1) )
            | plus(X1,X3) != X0
            | ~ int_less(int_zero,X3) ) )
      | ~ int_leq(X1,n)
      | ~ int_leq(int_one,X0)
      | ~ int_leq(int_one,X1) ),
    inference(flattening,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ( ! [X3] :
            ( ! [X4] :
                ( real_zero = a(plus(X4,X3),X4)
                | ~ int_leq(int_one,X4)
                | ~ int_leq(X4,X1) )
            | plus(X1,X3) != X0
            | ~ int_less(int_zero,X3) )
        & ! [X2] :
            ( real_one = a(X2,X2)
            | ~ int_leq(int_one,X2)
            | ~ int_leq(X2,X1) )
        & ! [X5] :
            ( ! [X6] :
                ( real_zero = a(X6,plus(X6,X5))
                | ~ int_leq(X6,X0)
                | ~ int_leq(int_one,X6) )
            | ~ int_less(int_zero,X5)
            | plus(X0,X5) != X1 ) )
      | ~ int_leq(int_one,X1)
      | ~ int_leq(X0,n)
      | ~ int_leq(int_one,X0)
      | ~ int_leq(X1,n) ),
    inference(ennf_transformation,[],[f16]) ).

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

fof(f12,axiom,
    ! [X0,X1] :
      ( ( int_leq(int_one,X1)
        & int_leq(X0,n)
        & int_leq(int_one,X0)
        & int_leq(X1,n) )
     => ( ! [X2] :
            ( ( int_leq(int_one,X2)
              & int_leq(X2,X1) )
           => real_one = a(X2,X2) )
        & ! [X7] :
            ( ( int_less(int_zero,X7)
              & plus(X1,X7) = X0 )
           => ! [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(int_one,X2)
                  & int_leq(X2,X0) )
               => real_zero = a(X2,plus(X2,X7)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qii) ).

fof(f81,plain,
    ( real_zero != a(sK2,sK1)
    | spl3_2 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f288,plain,
    ( int_less(sK1,sK2)
    | sK1 = sK2
    | spl3_2 ),
    inference(resolution,[],[f280,f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ int_leq(X0,X1)
      | int_less(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f280,plain,
    ( int_leq(sK1,sK2)
    | spl3_2 ),
    inference(resolution,[],[f244,f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( int_less(X1,X0)
      | int_leq(X0,X1) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( int_less(X1,X0)
      | int_leq(X0,X1) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X1,X0] :
      ( int_less(X0,X1)
      | int_leq(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_less_total) ).

fof(f244,plain,
    ( ~ int_less(sK2,sK1)
    | spl3_2 ),
    inference(subsumption_resolution,[],[f243,f46]) ).

fof(f243,plain,
    ( ~ int_less(sK2,sK1)
    | ~ int_leq(int_one,sK2)
    | spl3_2 ),
    inference(subsumption_resolution,[],[f242,f52]) ).

fof(f242,plain,
    ( ~ int_leq(sK2,n)
    | ~ int_leq(int_one,sK2)
    | ~ int_less(sK2,sK1)
    | spl3_2 ),
    inference(subsumption_resolution,[],[f241,f51]) ).

fof(f241,plain,
    ( ~ int_leq(int_one,sK1)
    | ~ int_less(sK2,sK1)
    | ~ int_leq(sK2,n)
    | ~ int_leq(int_one,sK2)
    | spl3_2 ),
    inference(subsumption_resolution,[],[f238,f53]) ).

fof(f238,plain,
    ( ~ int_less(sK2,sK1)
    | ~ int_leq(sK1,n)
    | ~ int_leq(int_one,sK2)
    | ~ int_leq(sK2,n)
    | ~ int_leq(int_one,sK1)
    | spl3_2 ),
    inference(trivial_inequality_removal,[],[f236]) ).

fof(f236,plain,
    ( ~ int_leq(sK1,n)
    | ~ int_less(sK2,sK1)
    | ~ int_leq(int_one,sK1)
    | ~ int_leq(int_one,sK2)
    | ~ int_leq(sK2,n)
    | real_zero != real_zero
    | spl3_2 ),
    inference(superposition,[],[f81,f204]) ).

fof(f204,plain,
    ! [X0,X1] :
      ( real_zero = a(X0,X1)
      | ~ int_less(X0,X1)
      | ~ int_leq(int_one,X0)
      | ~ int_leq(int_one,X1)
      | ~ int_leq(X1,n)
      | ~ int_leq(X0,n) ),
    inference(subsumption_resolution,[],[f203,f72]) ).

fof(f203,plain,
    ! [X0,X1] :
      ( ~ int_leq(X0,X0)
      | real_zero = a(X0,X1)
      | ~ int_leq(X1,n)
      | ~ int_leq(X0,n)
      | ~ int_less(X0,X1)
      | ~ int_leq(int_one,X1)
      | ~ int_leq(int_one,X0) ),
    inference(duplicate_literal_removal,[],[f200]) ).

fof(f200,plain,
    ! [X0,X1] :
      ( ~ int_leq(int_one,X0)
      | real_zero = a(X0,X1)
      | ~ int_less(X0,X1)
      | ~ int_leq(X1,n)
      | ~ int_leq(int_one,X0)
      | ~ int_leq(int_one,X1)
      | ~ int_leq(X0,n)
      | ~ int_less(X0,X1)
      | ~ int_leq(X0,X0) ),
    inference(superposition,[],[f167,f45]) ).

fof(f167,plain,
    ! [X2,X0,X1] :
      ( ~ int_leq(plus(X2,sK0(X0,X1)),n)
      | ~ int_leq(X0,X2)
      | ~ int_leq(int_one,X0)
      | ~ int_less(X0,X1)
      | ~ int_leq(int_one,plus(X2,sK0(X0,X1)))
      | real_zero = a(X0,X1)
      | ~ int_leq(int_one,X2)
      | ~ int_leq(X2,n) ),
    inference(subsumption_resolution,[],[f163,f44]) ).

fof(f163,plain,
    ! [X2,X0,X1] :
      ( ~ int_leq(int_one,X0)
      | ~ int_leq(int_one,X2)
      | ~ int_less(X0,X1)
      | ~ int_leq(X0,X2)
      | ~ int_leq(plus(X2,sK0(X0,X1)),n)
      | ~ int_leq(X2,n)
      | real_zero = a(X0,X1)
      | ~ int_leq(int_one,plus(X2,sK0(X0,X1)))
      | ~ int_less(int_zero,sK0(X0,X1)) ),
    inference(superposition,[],[f70,f45]) ).

fof(f70,plain,
    ! [X2,X3,X0] :
      ( real_zero = a(X3,plus(X3,X2))
      | ~ int_leq(int_one,X0)
      | ~ int_leq(int_one,X3)
      | ~ int_leq(plus(X0,X2),n)
      | ~ int_leq(X3,X0)
      | ~ int_leq(X0,n)
      | ~ int_leq(int_one,plus(X0,X2))
      | ~ int_less(int_zero,X2) ),
    inference(equality_resolution,[],[f59]) ).

fof(f59,plain,
    ! [X2,X3,X0,X1] :
      ( ~ int_leq(X0,n)
      | plus(X0,X2) != X1
      | ~ int_leq(int_one,X3)
      | real_zero = a(X3,plus(X3,X2))
      | ~ int_leq(X3,X0)
      | ~ int_less(int_zero,X2)
      | ~ int_leq(X1,n)
      | ~ int_leq(int_one,X0)
      | ~ int_leq(int_one,X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f76,plain,
    ( sK1 != sK2
    | spl3_1 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f975,plain,
    ~ spl3_5,
    inference(avatar_contradiction_clause,[],[f974]) ).

fof(f974,plain,
    ( $false
    | ~ spl3_5 ),
    inference(subsumption_resolution,[],[f967,f52]) ).

fof(f967,plain,
    ( ~ int_leq(sK2,n)
    | ~ spl3_5 ),
    inference(resolution,[],[f94,f46]) ).

fof(f94,plain,
    ( ! [X0] :
        ( ~ int_leq(int_one,X0)
        | ~ int_leq(X0,n) )
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f93,plain,
    ( spl3_5
  <=> ! [X0] :
        ( ~ int_leq(X0,n)
        | ~ int_leq(int_one,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f956,plain,
    ( spl3_2
    | spl3_3
    | ~ spl3_4 ),
    inference(avatar_contradiction_clause,[],[f955]) ).

fof(f955,plain,
    ( $false
    | spl3_2
    | spl3_3
    | ~ spl3_4 ),
    inference(subsumption_resolution,[],[f954,f53]) ).

fof(f954,plain,
    ( ~ int_leq(sK1,n)
    | spl3_2
    | spl3_3
    | ~ spl3_4 ),
    inference(subsumption_resolution,[],[f940,f51]) ).

fof(f940,plain,
    ( ~ int_leq(int_one,sK1)
    | ~ int_leq(sK1,n)
    | spl3_2
    | spl3_3
    | ~ spl3_4 ),
    inference(resolution,[],[f336,f72]) ).

fof(f336,plain,
    ( ! [X0] :
        ( ~ int_leq(sK1,X0)
        | ~ int_leq(X0,n)
        | ~ int_leq(int_one,X0) )
    | spl3_2
    | spl3_3
    | ~ spl3_4 ),
    inference(subsumption_resolution,[],[f333,f51]) ).

fof(f333,plain,
    ( ! [X0] :
        ( ~ int_leq(int_one,sK1)
        | ~ int_leq(X0,n)
        | ~ int_leq(int_one,X0)
        | ~ int_leq(sK1,X0) )
    | spl3_2
    | spl3_3
    | ~ spl3_4 ),
    inference(trivial_inequality_removal,[],[f330]) ).

fof(f330,plain,
    ( ! [X0] :
        ( ~ int_leq(int_one,X0)
        | ~ int_leq(int_one,sK1)
        | real_one != real_one
        | ~ int_leq(sK1,X0)
        | ~ int_leq(X0,n) )
    | spl3_2
    | spl3_3
    | ~ spl3_4 ),
    inference(superposition,[],[f306,f91]) ).

fof(f306,plain,
    ( real_one != a(sK1,sK1)
    | spl3_2
    | spl3_3 ),
    inference(superposition,[],[f86,f289]) ).

fof(f86,plain,
    ( real_one != a(sK2,sK1)
    | spl3_3 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f84,plain,
    ( spl3_3
  <=> real_one = a(sK2,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f95,plain,
    ( spl3_4
    | spl3_5 ),
    inference(avatar_split_clause,[],[f58,f93,f90]) ).

fof(f58,plain,
    ! [X0,X1,X4] :
      ( ~ int_leq(X0,n)
      | ~ int_leq(int_one,X0)
      | real_one = a(X4,X4)
      | ~ int_leq(int_one,X1)
      | ~ int_leq(X1,n)
      | ~ int_leq(X4,X1)
      | ~ int_leq(int_one,X4) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f87,plain,
    ( ~ spl3_3
    | ~ spl3_1 ),
    inference(avatar_split_clause,[],[f47,f75,f84]) ).

fof(f47,plain,
    ( sK1 != sK2
    | real_one != a(sK2,sK1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f82,plain,
    ( spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f50,f79,f75]) ).

fof(f50,plain,
    ( real_zero != a(sK2,sK1)
    | sK1 = sK2 ),
    inference(cnf_transformation,[],[f34]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SWV491+4 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.36  % Computer : n027.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 30 19:47:31 EDT 2022
% 0.15/0.36  % CPUTime    : 
% 0.22/0.49  % (28196)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)
% 0.22/0.49  % (28187)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)
% 0.22/0.50  % (28187)Instruction limit reached!
% 0.22/0.50  % (28187)------------------------------
% 0.22/0.50  % (28187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.50  % (28187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.50  % (28187)Termination reason: Unknown
% 0.22/0.50  % (28187)Termination phase: Saturation
% 0.22/0.50  
% 0.22/0.50  % (28187)Memory used [KB]: 5884
% 0.22/0.50  % (28187)Time elapsed: 0.005 s
% 0.22/0.50  % (28187)Instructions burned: 3 (million)
% 0.22/0.50  % (28187)------------------------------
% 0.22/0.50  % (28187)------------------------------
% 0.22/0.50  % (28185)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)
% 0.22/0.51  % (28179)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)
% 0.22/0.52  % (28177)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)
% 0.22/0.52  % (28182)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)
% 0.22/0.53  % (28177)Instruction limit reached!
% 0.22/0.53  % (28177)------------------------------
% 0.22/0.53  % (28177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53  % (28185)Instruction limit reached!
% 0.22/0.53  % (28185)------------------------------
% 0.22/0.53  % (28185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53  % (28185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53  % (28185)Termination reason: Unknown
% 0.22/0.53  % (28185)Termination phase: Saturation
% 0.22/0.53  
% 0.22/0.53  % (28185)Memory used [KB]: 1663
% 0.22/0.53  % (28185)Time elapsed: 0.089 s
% 0.22/0.53  % (28185)Instructions burned: 16 (million)
% 0.22/0.53  % (28185)------------------------------
% 0.22/0.53  % (28185)------------------------------
% 0.22/0.53  % (28202)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)
% 0.22/0.53  % (28194)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)
% 0.22/0.54  % (28202)Refutation not found, incomplete strategy% (28202)------------------------------
% 0.22/0.54  % (28202)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54  % (28176)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)
% 0.22/0.54  % (28178)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)
% 0.22/0.54  % (28202)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54  % (28202)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.54  
% 0.22/0.54  % (28202)Memory used [KB]: 6012
% 0.22/0.54  % (28202)Time elapsed: 0.110 s
% 0.22/0.54  % (28202)Instructions burned: 4 (million)
% 0.22/0.54  % (28202)------------------------------
% 0.22/0.54  % (28202)------------------------------
% 0.22/0.54  % (28184)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)
% 0.22/0.54  % (28177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54  % (28177)Termination reason: Unknown
% 0.22/0.54  % (28177)Termination phase: Saturation
% 0.22/0.54  
% 0.22/0.54  % (28177)Memory used [KB]: 6012
% 0.22/0.54  % (28177)Time elapsed: 0.100 s
% 0.22/0.54  % (28177)Instructions burned: 14 (million)
% 0.22/0.54  % (28177)------------------------------
% 0.22/0.54  % (28177)------------------------------
% 0.22/0.54  % (28199)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)
% 0.22/0.55  % (28173)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.22/0.55  % (28203)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)
% 0.22/0.55  % (28175)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)
% 0.22/0.55  % (28191)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.55  % (28174)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)
% 0.22/0.55  % (28201)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)
% 0.22/0.55  % (28181)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)
% 0.22/0.55  % (28183)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)
% 0.22/0.55  % (28191)Instruction limit reached!
% 0.22/0.55  % (28191)------------------------------
% 0.22/0.55  % (28191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55  % (28180)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)
% 0.22/0.55  % (28191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55  % (28191)Termination reason: Unknown
% 0.22/0.55  % (28191)Termination phase: Finite model building preprocessing
% 0.22/0.55  
% 0.22/0.55  % (28191)Memory used [KB]: 1407
% 0.22/0.55  % (28191)Time elapsed: 0.005 s
% 0.22/0.55  % (28191)Instructions burned: 4 (million)
% 0.22/0.55  % (28191)------------------------------
% 0.22/0.55  % (28191)------------------------------
% 0.22/0.55  % (28184)Instruction limit reached!
% 0.22/0.55  % (28184)------------------------------
% 0.22/0.55  % (28184)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55  % (28184)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55  % (28184)Termination reason: Unknown
% 0.22/0.55  % (28184)Termination phase: Saturation
% 0.22/0.55  
% 0.22/0.55  % (28184)Memory used [KB]: 6012
% 0.22/0.55  % (28184)Time elapsed: 0.130 s
% 0.22/0.55  % (28184)Instructions burned: 9 (million)
% 0.22/0.55  % (28184)------------------------------
% 0.22/0.55  % (28184)------------------------------
% 0.22/0.55  % (28178)Instruction limit reached!
% 0.22/0.55  % (28178)------------------------------
% 0.22/0.55  % (28178)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55  % (28178)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55  % (28178)Termination reason: Unknown
% 0.22/0.55  % (28178)Termination phase: Saturation
% 0.22/0.55  
% 0.22/0.55  % (28178)Memory used [KB]: 1535
% 0.22/0.55  % (28178)Time elapsed: 0.132 s
% 0.22/0.55  % (28178)Instructions burned: 15 (million)
% 0.22/0.55  % (28178)------------------------------
% 0.22/0.55  % (28178)------------------------------
% 0.22/0.56  % (28183)Instruction limit reached!
% 0.22/0.56  % (28183)------------------------------
% 0.22/0.56  % (28183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56  % (28183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56  % (28183)Termination reason: Unknown
% 0.22/0.56  % (28183)Termination phase: Saturation
% 0.22/0.56  
% 0.22/0.56  % (28183)Memory used [KB]: 6012
% 0.22/0.56  % (28183)Time elapsed: 0.131 s
% 0.22/0.56  % (28183)Instructions burned: 13 (million)
% 0.22/0.56  % (28183)------------------------------
% 0.22/0.56  % (28183)------------------------------
% 0.22/0.56  % (28193)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)
% 0.22/0.56  % (28195)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)
% 0.22/0.56  % (28192)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)
% 0.22/0.56  % (28192)Instruction limit reached!
% 0.22/0.56  % (28192)------------------------------
% 0.22/0.56  % (28192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56  % (28192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56  % (28192)Termination reason: Unknown
% 0.22/0.56  % (28192)Termination phase: Saturation
% 0.22/0.56  
% 0.22/0.56  % (28192)Memory used [KB]: 5884
% 0.22/0.56  % (28192)Time elapsed: 0.003 s
% 0.22/0.56  % (28192)Instructions burned: 3 (million)
% 0.22/0.56  % (28192)------------------------------
% 0.22/0.56  % (28192)------------------------------
% 0.22/0.56  % (28175)Instruction limit reached!
% 0.22/0.56  % (28175)------------------------------
% 0.22/0.56  % (28175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56  % (28175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56  % (28175)Termination reason: Unknown
% 0.22/0.56  % (28175)Termination phase: Saturation
% 0.22/0.56  
% 0.22/0.56  % (28175)Memory used [KB]: 6012
% 0.22/0.56  % (28175)Time elapsed: 0.137 s
% 0.22/0.56  % (28175)Instructions burned: 4 (million)
% 0.22/0.56  % (28175)------------------------------
% 0.22/0.56  % (28175)------------------------------
% 0.22/0.56  % (28189)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)
% 0.22/0.56  % (28179)Instruction limit reached!
% 0.22/0.56  % (28179)------------------------------
% 0.22/0.56  % (28179)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56  % (28179)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56  % (28179)Termination reason: Unknown
% 0.22/0.56  % (28179)Termination phase: Saturation
% 0.22/0.56  
% 0.22/0.56  % (28179)Memory used [KB]: 6268
% 0.22/0.56  % (28179)Time elapsed: 0.130 s
% 0.22/0.56  % (28179)Instructions burned: 39 (million)
% 0.22/0.56  % (28179)------------------------------
% 0.22/0.56  % (28179)------------------------------
% 0.22/0.56  % (28186)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)
% 0.22/0.56  % (28200)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)
% 0.22/0.57  % (28197)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)
% 0.22/0.57  % (28188)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)
% 0.22/0.57  % (28198)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)
% 0.22/0.58  % (28174)Instruction limit reached!
% 0.22/0.58  % (28174)------------------------------
% 0.22/0.58  % (28174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.58  % (28174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.58  % (28174)Termination reason: Unknown
% 0.22/0.58  % (28174)Termination phase: Saturation
% 0.22/0.58  
% 0.22/0.58  % (28174)Memory used [KB]: 6140
% 0.22/0.58  % (28174)Time elapsed: 0.158 s
% 0.22/0.58  % (28174)Instructions burned: 14 (million)
% 0.22/0.58  % (28174)------------------------------
% 0.22/0.58  % (28174)------------------------------
% 0.22/0.58  % (28193)Instruction limit reached!
% 0.22/0.58  % (28193)------------------------------
% 0.22/0.58  % (28193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.58  % (28193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.58  % (28193)Termination reason: Unknown
% 0.22/0.58  % (28193)Termination phase: Saturation
% 0.22/0.58  
% 0.22/0.58  % (28193)Memory used [KB]: 6140
% 0.22/0.58  % (28193)Time elapsed: 0.147 s
% 0.22/0.58  % (28193)Instructions burned: 12 (million)
% 0.22/0.58  % (28193)------------------------------
% 0.22/0.58  % (28193)------------------------------
% 0.22/0.59  % (28194)Instruction limit reached!
% 0.22/0.59  % (28194)------------------------------
% 0.22/0.59  % (28194)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.59  % (28182)Instruction limit reached!
% 0.22/0.59  % (28182)------------------------------
% 0.22/0.59  % (28182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.59  % (28188)Instruction limit reached!
% 0.22/0.59  % (28188)------------------------------
% 0.22/0.59  % (28188)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.59  % (28188)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.59  % (28188)Termination reason: Unknown
% 0.22/0.59  % (28188)Termination phase: Saturation
% 0.22/0.59  
% 0.22/0.59  % (28188)Memory used [KB]: 6012
% 0.22/0.59  % (28188)Time elapsed: 0.151 s
% 0.22/0.59  % (28188)Instructions burned: 7 (million)
% 0.22/0.59  % (28188)------------------------------
% 0.22/0.59  % (28188)------------------------------
% 0.22/0.59  % (28182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.59  % (28182)Termination reason: Unknown
% 0.22/0.59  % (28182)Termination phase: Saturation
% 0.22/0.59  
% 0.22/0.59  % (28182)Memory used [KB]: 6396
% 0.22/0.59  % (28182)Time elapsed: 0.160 s
% 0.22/0.59  % (28182)Instructions burned: 33 (million)
% 0.22/0.59  % (28182)------------------------------
% 0.22/0.59  % (28182)------------------------------
% 0.22/0.60  % (28201)Instruction limit reached!
% 0.22/0.60  % (28201)------------------------------
% 0.22/0.60  % (28201)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.60  % (28201)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.60  % (28201)Termination reason: Unknown
% 0.22/0.60  % (28201)Termination phase: Saturation
% 0.22/0.60  
% 0.22/0.60  % (28201)Memory used [KB]: 6268
% 0.22/0.60  % (28201)Time elapsed: 0.163 s
% 0.22/0.60  % (28201)Instructions burned: 25 (million)
% 0.22/0.60  % (28201)------------------------------
% 0.22/0.60  % (28201)------------------------------
% 0.22/0.60  % (28203)Instruction limit reached!
% 0.22/0.60  % (28203)------------------------------
% 0.22/0.60  % (28203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.60  % (28203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.60  % (28203)Termination reason: Unknown
% 0.22/0.60  % (28203)Termination phase: Saturation
% 0.22/0.60  
% 0.22/0.60  % (28203)Memory used [KB]: 6140
% 0.22/0.60  % (28203)Time elapsed: 0.180 s
% 0.22/0.60  % (28203)Instructions burned: 24 (million)
% 0.22/0.60  % (28203)------------------------------
% 0.22/0.60  % (28203)------------------------------
% 0.22/0.60  % (28180)Instruction limit reached!
% 0.22/0.60  % (28180)------------------------------
% 0.22/0.60  % (28180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.60  % (28180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.60  % (28180)Termination reason: Unknown
% 0.22/0.60  % (28180)Termination phase: Saturation
% 0.22/0.60  
% 0.22/0.60  % (28180)Memory used [KB]: 6396
% 0.22/0.60  % (28180)Time elapsed: 0.173 s
% 0.22/0.60  % (28180)Instructions burned: 39 (million)
% 0.22/0.60  % (28180)------------------------------
% 0.22/0.60  % (28180)------------------------------
% 1.91/0.60  % (28194)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.60  % (28194)Termination reason: Unknown
% 1.91/0.60  % (28194)Termination phase: Saturation
% 1.91/0.60  
% 1.91/0.60  % (28194)Memory used [KB]: 6268
% 1.91/0.60  % (28194)Time elapsed: 0.153 s
% 1.91/0.60  % (28194)Instructions burned: 30 (million)
% 1.91/0.60  % (28194)------------------------------
% 1.91/0.60  % (28194)------------------------------
% 1.91/0.62  % (28196)Instruction limit reached!
% 1.91/0.62  % (28196)------------------------------
% 1.91/0.62  % (28196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.62  % (28196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.62  % (28196)Termination reason: Unknown
% 1.91/0.62  % (28196)Termination phase: Saturation
% 1.91/0.62  
% 1.91/0.62  % (28196)Memory used [KB]: 7291
% 1.91/0.62  % (28196)Time elapsed: 0.188 s
% 1.91/0.62  % (28196)Instructions burned: 82 (million)
% 1.91/0.62  % (28196)------------------------------
% 1.91/0.62  % (28196)------------------------------
% 2.07/0.63  % (28181)Instruction limit reached!
% 2.07/0.63  % (28181)------------------------------
% 2.07/0.63  % (28181)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.63  % (28181)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.63  % (28181)Termination reason: Unknown
% 2.07/0.63  % (28181)Termination phase: Saturation
% 2.07/0.63  
% 2.07/0.63  % (28181)Memory used [KB]: 6524
% 2.07/0.63  % (28181)Time elapsed: 0.195 s
% 2.07/0.63  % (28181)Instructions burned: 49 (million)
% 2.07/0.63  % (28181)------------------------------
% 2.07/0.63  % (28181)------------------------------
% 2.07/0.64  % (28176)Instruction limit reached!
% 2.07/0.64  % (28176)------------------------------
% 2.07/0.64  % (28176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.64  % (28176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.64  % (28176)Termination reason: Unknown
% 2.07/0.64  % (28176)Termination phase: Saturation
% 2.07/0.64  
% 2.07/0.64  % (28176)Memory used [KB]: 6780
% 2.07/0.64  % (28176)Time elapsed: 0.219 s
% 2.07/0.64  % (28176)Instructions burned: 52 (million)
% 2.07/0.64  % (28176)------------------------------
% 2.07/0.64  % (28176)------------------------------
% 2.07/0.64  % (28186)Instruction limit reached!
% 2.07/0.64  % (28186)------------------------------
% 2.07/0.64  % (28186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.64  % (28186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.64  % (28186)Termination reason: Unknown
% 2.07/0.64  % (28186)Termination phase: Saturation
% 2.07/0.64  
% 2.07/0.64  % (28186)Memory used [KB]: 7036
% 2.07/0.64  % (28186)Time elapsed: 0.222 s
% 2.07/0.64  % (28186)Instructions burned: 52 (million)
% 2.07/0.64  % (28186)------------------------------
% 2.07/0.64  % (28186)------------------------------
% 2.07/0.65  % (28197)Instruction limit reached!
% 2.07/0.65  % (28197)------------------------------
% 2.07/0.65  % (28197)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.65  % (28197)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.65  % (28197)Termination reason: Unknown
% 2.07/0.65  % (28197)Termination phase: Saturation
% 2.07/0.65  
% 2.07/0.65  % (28197)Memory used [KB]: 2046
% 2.07/0.65  % (28197)Time elapsed: 0.216 s
% 2.07/0.65  % (28197)Instructions burned: 46 (million)
% 2.07/0.65  % (28197)------------------------------
% 2.07/0.65  % (28197)------------------------------
% 2.07/0.65  % (28204)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)
% 2.07/0.65  % (28198)Instruction limit reached!
% 2.07/0.65  % (28198)------------------------------
% 2.07/0.65  % (28198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.66  % (28205)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)
% 2.07/0.66  % (28189)Instruction limit reached!
% 2.07/0.66  % (28189)------------------------------
% 2.07/0.66  % (28189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.66  % (28189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.66  % (28189)Termination reason: Unknown
% 2.07/0.66  % (28189)Termination phase: Saturation
% 2.07/0.66  
% 2.07/0.66  % (28189)Memory used [KB]: 6524
% 2.07/0.66  % (28189)Time elapsed: 0.228 s
% 2.07/0.66  % (28189)Instructions burned: 50 (million)
% 2.07/0.66  % (28189)------------------------------
% 2.07/0.66  % (28189)------------------------------
% 2.07/0.67  % (28198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.67  % (28198)Termination reason: Unknown
% 2.07/0.67  % (28198)Termination phase: Saturation
% 2.07/0.67  
% 2.07/0.67  % (28198)Memory used [KB]: 6396
% 2.07/0.67  % (28198)Time elapsed: 0.234 s
% 2.07/0.67  % (28198)Instructions burned: 51 (million)
% 2.07/0.67  % (28198)------------------------------
% 2.07/0.67  % (28198)------------------------------
% 2.07/0.67  % (28205)Instruction limit reached!
% 2.07/0.67  % (28205)------------------------------
% 2.07/0.67  % (28205)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.67  % (28205)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.67  % (28205)Termination reason: Unknown
% 2.07/0.67  % (28205)Termination phase: Saturation
% 2.07/0.67  
% 2.07/0.67  % (28205)Memory used [KB]: 10490
% 2.07/0.67  % (28205)Time elapsed: 0.082 s
% 2.07/0.67  % (28205)Instructions burned: 7 (million)
% 2.07/0.67  % (28205)------------------------------
% 2.07/0.67  % (28205)------------------------------
% 2.07/0.67  % (28206)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)
% 2.07/0.69  % (28210)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)
% 2.07/0.69  % (28212)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/31Mi)
% 2.07/0.70  % (28213)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 2.07/0.70  % (28211)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 2.07/0.70  % (28207)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.56/0.70  % (28204)First to succeed.
% 2.56/0.70  % (28209)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.56/0.71  % (28204)Refutation found. Thanks to Tanya!
% 2.56/0.71  % SZS status Theorem for theBenchmark
% 2.56/0.71  % SZS output start Proof for theBenchmark
% See solution above
% 2.56/0.71  % (28204)------------------------------
% 2.56/0.71  % (28204)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.71  % (28204)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.71  % (28204)Termination reason: Refutation
% 2.56/0.71  
% 2.56/0.71  % (28204)Memory used [KB]: 6268
% 2.56/0.71  % (28204)Time elapsed: 0.144 s
% 2.56/0.71  % (28204)Instructions burned: 36 (million)
% 2.56/0.71  % (28204)------------------------------
% 2.56/0.71  % (28204)------------------------------
% 2.56/0.71  % (28172)Success in time 0.32 s
%------------------------------------------------------------------------------