TSTP Solution File: SWW581_2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWW581_2 : TPTP v8.1.0. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n019.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 19:19:59 EDT 2022

% Result   : Theorem 0.16s 0.53s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   42
% Syntax   : Number of formulae    :  101 (  23 unt;  25 typ;   0 def)
%            Number of atoms       :  292 (  86 equ)
%            Maximal formula atoms :   26 (   3 avg)
%            Number of connectives :  336 ( 120   ~;  66   |; 114   &)
%                                         (   5 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number arithmetic     :  496 ( 163 atm; 110 fun; 133 num;  90 var)
%            Number of types       :    6 (   4 usr;   1 ari)
%            Number of type conns  :   13 (   7   >;   6   *;   0   +;   0  <<)
%            Number of predicates  :   10 (   6 usr;   6 prp; 0-2 aty)
%            Number of functors    :   27 (  20 usr;  17 con; 0-4 aty)
%            Number of variables   :   90 (  48   !;  42   ?;  90   :)

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

tff(type_def_6,type,
    ty: $tType ).

tff(type_def_7,type,
    bool: $tType ).

tff(type_def_8,type,
    tuple0: $tType ).

tff(func_def_0,type,
    witness: ty > uni ).

tff(func_def_1,type,
    int: ty ).

tff(func_def_2,type,
    real: ty ).

tff(func_def_3,type,
    bool1: ty ).

tff(func_def_4,type,
    true: bool ).

tff(func_def_5,type,
    false: bool ).

tff(func_def_6,type,
    match_bool: ( ty * bool * uni * uni ) > uni ).

tff(func_def_7,type,
    tuple01: ty ).

tff(func_def_8,type,
    tuple02: tuple0 ).

tff(func_def_9,type,
    qtmark: ty ).

tff(func_def_12,type,
    fact: $int > $int ).

tff(func_def_15,type,
    ref: ty > ty ).

tff(func_def_16,type,
    mk_ref: ( ty * uni ) > uni ).

tff(func_def_17,type,
    contents: ( ty * uni ) > uni ).

tff(func_def_20,type,
    sK0: $int ).

tff(func_def_21,type,
    sK1: $int ).

tff(func_def_22,type,
    sK2: $int ).

tff(func_def_23,type,
    sK3: $int ).

tff(func_def_24,type,
    sK4: $int ).

tff(func_def_25,type,
    sK5: $int ).

tff(pred_def_1,type,
    sort: ( ty * uni ) > $o ).

tff(f719,plain,
    $false,
    inference(avatar_sat_refutation,[],[f110,f509,f584,f675,f676,f714]) ).

tff(f714,plain,
    ~ spl6_1,
    inference(avatar_contradiction_clause,[],[f713]) ).

tff(f713,plain,
    ( $false
    | ~ spl6_1 ),
    inference(subsumption_resolution,[],[f712,f465]) ).

tff(f465,plain,
    ~ $less(sK0,$sum(1,sK1)),
    inference(forward_demodulation,[],[f453,f20]) ).

tff(f20,plain,
    ! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
    introduced(theory_axiom_140,[]) ).

tff(f453,plain,
    ~ $less(sK0,$sum(sK1,1)),
    inference(resolution,[],[f359,f37]) ).

tff(f37,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X1,$sum(X0,1))
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_166,[]) ).

tff(f359,plain,
    ! [X0: $int] : $less($sum(sK1,X0),$sum(sK0,X0)),
    inference(resolution,[],[f81,f28]) ).

tff(f28,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(X0,X1)
      | $less($sum(X0,X2),$sum(X1,X2)) ),
    introduced(theory_axiom_150,[]) ).

tff(f81,plain,
    $less(sK1,sK0),
    inference(cnf_transformation,[],[f63]) ).

tff(f63,plain,
    ( $less(sK1,sK0)
    & ~ $less(sK0,sK1)
    & ~ $less($sum(sK1,1),sK4)
    & ~ $less(sK4,1)
    & ( $product(sK4,fact(sK1)) = sK3 )
    & $less(sK1,sK4)
    & ( $sum(sK1,1) = sK5 )
    & ( $less(sK0,sK5)
      | ( fact(sK5) != sK3 )
      | $less(sK5,0) )
    & ( fact(sK1) = sK2 )
    & ~ $less(sK1,0)
    & ~ $less(sK0,0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f58,f62,f61,f60,f59]) ).

tff(f59,plain,
    ( ? [X0: $int] :
        ( ? [X1: $int,X2: $int] :
            ( $less(X1,X0)
            & ~ $less(X0,X1)
            & ? [X3: $int,X4: $int] :
                ( ~ $less($sum(X1,1),X4)
                & ~ $less(X4,1)
                & ( $product(X4,fact(X1)) = X3 )
                & $less(X1,X4)
                & ? [X5: $int] :
                    ( ( $sum(X1,1) = X5 )
                    & ( $less(X0,X5)
                      | ( fact(X5) != X3 )
                      | $less(X5,0) ) ) )
            & ( fact(X1) = X2 )
            & ~ $less(X1,0) )
        & ~ $less(X0,0) )
   => ( ? [X2: $int,X1: $int] :
          ( $less(X1,sK0)
          & ~ $less(sK0,X1)
          & ? [X4: $int,X3: $int] :
              ( ~ $less($sum(X1,1),X4)
              & ~ $less(X4,1)
              & ( $product(X4,fact(X1)) = X3 )
              & $less(X1,X4)
              & ? [X5: $int] :
                  ( ( $sum(X1,1) = X5 )
                  & ( $less(sK0,X5)
                    | ( fact(X5) != X3 )
                    | $less(X5,0) ) ) )
          & ( fact(X1) = X2 )
          & ~ $less(X1,0) )
      & ~ $less(sK0,0) ) ),
    introduced(choice_axiom,[]) ).

tff(f60,plain,
    ( ? [X2: $int,X1: $int] :
        ( $less(X1,sK0)
        & ~ $less(sK0,X1)
        & ? [X4: $int,X3: $int] :
            ( ~ $less($sum(X1,1),X4)
            & ~ $less(X4,1)
            & ( $product(X4,fact(X1)) = X3 )
            & $less(X1,X4)
            & ? [X5: $int] :
                ( ( $sum(X1,1) = X5 )
                & ( $less(sK0,X5)
                  | ( fact(X5) != X3 )
                  | $less(X5,0) ) ) )
        & ( fact(X1) = X2 )
        & ~ $less(X1,0) )
   => ( $less(sK1,sK0)
      & ~ $less(sK0,sK1)
      & ? [X4: $int,X3: $int] :
          ( ~ $less($sum(sK1,1),X4)
          & ~ $less(X4,1)
          & ( $product(X4,fact(sK1)) = X3 )
          & $less(sK1,X4)
          & ? [X5: $int] :
              ( ( $sum(sK1,1) = X5 )
              & ( $less(sK0,X5)
                | ( fact(X5) != X3 )
                | $less(X5,0) ) ) )
      & ( fact(sK1) = sK2 )
      & ~ $less(sK1,0) ) ),
    introduced(choice_axiom,[]) ).

tff(f61,plain,
    ( ? [X4: $int,X3: $int] :
        ( ~ $less($sum(sK1,1),X4)
        & ~ $less(X4,1)
        & ( $product(X4,fact(sK1)) = X3 )
        & $less(sK1,X4)
        & ? [X5: $int] :
            ( ( $sum(sK1,1) = X5 )
            & ( $less(sK0,X5)
              | ( fact(X5) != X3 )
              | $less(X5,0) ) ) )
   => ( ~ $less($sum(sK1,1),sK4)
      & ~ $less(sK4,1)
      & ( $product(sK4,fact(sK1)) = sK3 )
      & $less(sK1,sK4)
      & ? [X5: $int] :
          ( ( $sum(sK1,1) = X5 )
          & ( $less(sK0,X5)
            | ( fact(X5) != sK3 )
            | $less(X5,0) ) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f62,plain,
    ( ? [X5: $int] :
        ( ( $sum(sK1,1) = X5 )
        & ( $less(sK0,X5)
          | ( fact(X5) != sK3 )
          | $less(X5,0) ) )
   => ( ( $sum(sK1,1) = sK5 )
      & ( $less(sK0,sK5)
        | ( fact(sK5) != sK3 )
        | $less(sK5,0) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f58,plain,
    ? [X0: $int] :
      ( ? [X1: $int,X2: $int] :
          ( $less(X1,X0)
          & ~ $less(X0,X1)
          & ? [X3: $int,X4: $int] :
              ( ~ $less($sum(X1,1),X4)
              & ~ $less(X4,1)
              & ( $product(X4,fact(X1)) = X3 )
              & $less(X1,X4)
              & ? [X5: $int] :
                  ( ( $sum(X1,1) = X5 )
                  & ( $less(X0,X5)
                    | ( fact(X5) != X3 )
                    | $less(X5,0) ) ) )
          & ( fact(X1) = X2 )
          & ~ $less(X1,0) )
      & ~ $less(X0,0) ),
    inference(rectify,[],[f57]) ).

tff(f57,plain,
    ? [X0: $int] :
      ( ? [X2: $int,X1: $int] :
          ( $less(X2,X0)
          & ~ $less(X0,X2)
          & ? [X3: $int,X4: $int] :
              ( ~ $less($sum(X2,1),X4)
              & ~ $less(X4,1)
              & ( $product(X4,fact(X2)) = X3 )
              & $less(X2,X4)
              & ? [X5: $int] :
                  ( ( $sum(X2,1) = X5 )
                  & ( $less(X0,X5)
                    | ( fact(X5) != X3 )
                    | $less(X5,0) ) ) )
          & ( fact(X2) = X1 )
          & ~ $less(X2,0) )
      & ~ $less(X0,0) ),
    inference(flattening,[],[f56]) ).

tff(f56,plain,
    ? [X0: $int] :
      ( ? [X1: $int,X2: $int] :
          ( ? [X4: $int,X3: $int] :
              ( ? [X5: $int] :
                  ( ( $sum(X2,1) = X5 )
                  & ( $less(X0,X5)
                    | ( fact(X5) != X3 )
                    | $less(X5,0) ) )
              & $less(X2,X4)
              & ( $product(X4,fact(X2)) = X3 )
              & ~ $less(X4,1)
              & ~ $less($sum(X2,1),X4) )
          & $less(X2,X0)
          & ~ $less(X0,X2)
          & ~ $less(X2,0)
          & ( fact(X2) = X1 ) )
      & ~ $less(X0,0) ),
    inference(ennf_transformation,[],[f46]) ).

tff(f46,plain,
    ~ ! [X0: $int] :
        ( ~ $less(X0,0)
       => ! [X1: $int,X2: $int] :
            ( ( ~ $less(X0,X2)
              & ~ $less(X2,0)
              & ( fact(X2) = X1 ) )
           => ( $less(X2,X0)
             => ! [X4: $int,X3: $int] :
                  ( ( ( $product(X4,fact(X2)) = X3 )
                    & ~ $less(X4,1)
                    & ~ $less($sum(X2,1),X4) )
                 => ( $less(X2,X4)
                   => ! [X5: $int] :
                        ( ( $sum(X2,1) = X5 )
                       => ( ( fact(X5) = X3 )
                          & ~ $less(X0,X5)
                          & ~ $less(X5,0) ) ) ) ) ) ) ),
    inference(rectify,[],[f19]) ).

tff(f19,plain,
    ~ ! [X8: $int] :
        ( ~ $less(X8,0)
       => ! [X6: $int,X9: $int] :
            ( ( ~ $less(X8,X9)
              & ( fact(X9) = X6 )
              & ~ $less(X9,0) )
           => ( $less(X9,X8)
             => ! [X11: $int,X10: $int] :
                  ( ( ( $product(X10,fact(X9)) = X11 )
                    & ~ $less($sum(X9,1),X10)
                    & ~ $less(X10,1) )
                 => ( $less(X9,X10)
                   => ! [X12: $int] :
                        ( ( $sum(X9,1) = X12 )
                       => ( ~ $less(X12,0)
                          & ~ $less(X8,X12)
                          & ( fact(X12) = X11 ) ) ) ) ) ) ) ),
    inference(theory_normalization,[],[f16]) ).

tff(f16,negated_conjecture,
    ~ ! [X8: $int] :
        ( $lesseq(0,X8)
       => ! [X6: $int,X9: $int] :
            ( ( $lesseq(X9,X8)
              & ( fact(X9) = X6 )
              & $lesseq(0,X9) )
           => ( $less(X9,X8)
             => ! [X11: $int,X10: $int] :
                  ( ( ( $product(X10,fact(X9)) = X11 )
                    & $lesseq(X10,$sum(X9,1))
                    & $lesseq(1,X10) )
                 => ( ~ $lesseq(X10,X9)
                   => ! [X12: $int] :
                        ( ( $sum(X9,1) = X12 )
                       => ( $lesseq(0,X12)
                          & $lesseq(X12,X8)
                          & ( fact(X12) = X11 ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f15]) ).

tff(f15,conjecture,
    ! [X8: $int] :
      ( $lesseq(0,X8)
     => ! [X6: $int,X9: $int] :
          ( ( $lesseq(X9,X8)
            & ( fact(X9) = X6 )
            & $lesseq(0,X9) )
         => ( $less(X9,X8)
           => ! [X11: $int,X10: $int] :
                ( ( ( $product(X10,fact(X9)) = X11 )
                  & $lesseq(X10,$sum(X9,1))
                  & $lesseq(1,X10) )
               => ( ~ $lesseq(X10,X9)
                 => ! [X12: $int] :
                      ( ( $sum(X9,1) = X12 )
                     => ( $lesseq(0,X12)
                        & $lesseq(X12,X8)
                        & ( fact(X12) = X11 ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_routine) ).

tff(f712,plain,
    ( $less(sK0,$sum(1,sK1))
    | ~ spl6_1 ),
    inference(forward_demodulation,[],[f101,f113]) ).

tff(f113,plain,
    $sum(1,sK1) = sK5,
    inference(backward_demodulation,[],[f75,f20]) ).

tff(f75,plain,
    $sum(sK1,1) = sK5,
    inference(cnf_transformation,[],[f63]) ).

tff(f101,plain,
    ( $less(sK0,sK5)
    | ~ spl6_1 ),
    inference(avatar_component_clause,[],[f99]) ).

tff(f99,plain,
    ( spl6_1
  <=> $less(sK0,sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

tff(f676,plain,
    ~ spl6_8,
    inference(avatar_split_clause,[],[f670,f188]) ).

tff(f188,plain,
    ( spl6_8
  <=> $less(sK4,$sum(1,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).

tff(f670,plain,
    ~ $less(sK4,$sum(1,sK1)),
    inference(forward_demodulation,[],[f659,f20]) ).

tff(f659,plain,
    ~ $less(sK4,$sum(sK1,1)),
    inference(resolution,[],[f586,f37]) ).

tff(f586,plain,
    ! [X0: $int] : $less($sum(sK1,X0),$sum(sK4,X0)),
    inference(resolution,[],[f76,f28]) ).

tff(f76,plain,
    $less(sK1,sK4),
    inference(cnf_transformation,[],[f63]) ).

tff(f675,plain,
    ( spl6_9
    | spl6_8 ),
    inference(avatar_split_clause,[],[f637,f188,f192]) ).

tff(f192,plain,
    ( spl6_9
  <=> ( sK4 = $sum(1,sK1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).

tff(f637,plain,
    ( $less(sK4,$sum(1,sK1))
    | ( sK4 = $sum(1,sK1) ) ),
    inference(resolution,[],[f114,f27]) ).

tff(f27,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X0,X1)
      | $less(X1,X0)
      | ( X0 = X1 ) ),
    introduced(theory_axiom_149,[]) ).

tff(f114,plain,
    ~ $less($sum(1,sK1),sK4),
    inference(backward_demodulation,[],[f79,f20]) ).

tff(f79,plain,
    ~ $less($sum(sK1,1),sK4),
    inference(cnf_transformation,[],[f63]) ).

tff(f584,plain,
    ( ~ spl6_3
    | ~ spl6_9 ),
    inference(avatar_contradiction_clause,[],[f583]) ).

tff(f583,plain,
    ( $false
    | ~ spl6_3
    | ~ spl6_9 ),
    inference(subsumption_resolution,[],[f571,f72]) ).

tff(f72,plain,
    ~ $less(sK1,0),
    inference(cnf_transformation,[],[f63]) ).

tff(f571,plain,
    ( $less(sK1,0)
    | ~ spl6_3
    | ~ spl6_9 ),
    inference(resolution,[],[f490,f510]) ).

tff(f510,plain,
    ( $less($sum(1,sK1),0)
    | ~ spl6_3 ),
    inference(forward_demodulation,[],[f109,f113]) ).

tff(f109,plain,
    ( $less(sK5,0)
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f107]) ).

tff(f107,plain,
    ( spl6_3
  <=> $less(sK5,0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

tff(f490,plain,
    ( ! [X0: $int] :
        ( ~ $less($sum(1,sK1),X0)
        | $less(sK1,X0) )
    | ~ spl6_9 ),
    inference(backward_demodulation,[],[f146,f194]) ).

tff(f194,plain,
    ( ( sK4 = $sum(1,sK1) )
    | ~ spl6_9 ),
    inference(avatar_component_clause,[],[f192]) ).

tff(f146,plain,
    ! [X0: $int] :
      ( ~ $less(sK4,X0)
      | $less(sK1,X0) ),
    inference(resolution,[],[f26,f76]) ).

tff(f26,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(X0,X1)
      | ~ $less(X1,X2)
      | $less(X0,X2) ),
    introduced(theory_axiom_148,[]) ).

tff(f509,plain,
    ( spl6_2
    | ~ spl6_9 ),
    inference(avatar_contradiction_clause,[],[f508]) ).

tff(f508,plain,
    ( $false
    | spl6_2
    | ~ spl6_9 ),
    inference(subsumption_resolution,[],[f507,f497]) ).

tff(f497,plain,
    ( ( $product($sum(1,sK1),sK2) != fact($sum(1,sK1)) )
    | spl6_2
    | ~ spl6_9 ),
    inference(backward_demodulation,[],[f115,f496]) ).

tff(f496,plain,
    ( ( $product($sum(1,sK1),sK2) = sK3 )
    | ~ spl6_9 ),
    inference(forward_demodulation,[],[f486,f31]) ).

tff(f31,plain,
    ! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
    introduced(theory_axiom_140,[]) ).

tff(f486,plain,
    ( ( $product(sK2,$sum(1,sK1)) = sK3 )
    | ~ spl6_9 ),
    inference(backward_demodulation,[],[f112,f194]) ).

tff(f112,plain,
    $product(sK2,sK4) = sK3,
    inference(backward_demodulation,[],[f111,f31]) ).

tff(f111,plain,
    $product(sK4,sK2) = sK3,
    inference(backward_demodulation,[],[f77,f73]) ).

tff(f73,plain,
    fact(sK1) = sK2,
    inference(cnf_transformation,[],[f63]) ).

tff(f77,plain,
    $product(sK4,fact(sK1)) = sK3,
    inference(cnf_transformation,[],[f63]) ).

tff(f115,plain,
    ( ( fact($sum(1,sK1)) != sK3 )
    | spl6_2 ),
    inference(forward_demodulation,[],[f105,f113]) ).

tff(f105,plain,
    ( ( fact(sK5) != sK3 )
    | spl6_2 ),
    inference(avatar_component_clause,[],[f103]) ).

tff(f103,plain,
    ( spl6_2
  <=> ( fact(sK5) = sK3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

tff(f507,plain,
    ( ( $product($sum(1,sK1),sK2) = fact($sum(1,sK1)) )
    | ~ spl6_9 ),
    inference(forward_demodulation,[],[f506,f73]) ).

tff(f506,plain,
    ( ( $product($sum(1,sK1),fact(sK1)) = fact($sum(1,sK1)) )
    | ~ spl6_9 ),
    inference(evaluation,[],[f501]) ).

tff(f501,plain,
    ( ( fact($sum(1,sK1)) = $product($sum(1,sK1),fact($sum($sum(1,sK1),-1))) )
    | ~ spl6_9 ),
    inference(resolution,[],[f485,f97]) ).

tff(f97,plain,
    ! [X0: $int] :
      ( $less(X0,1)
      | ( $product(X0,fact($sum(X0,-1))) = fact(X0) ) ),
    inference(evaluation,[],[f83]) ).

tff(f83,plain,
    ! [X0: $int] :
      ( $less(X0,1)
      | ( fact(X0) = $product(X0,fact($sum(X0,$uminus(1)))) ) ),
    inference(cnf_transformation,[],[f49]) ).

tff(f49,plain,
    ! [X0: $int] :
      ( $less(X0,1)
      | ( fact(X0) = $product(X0,fact($sum(X0,$uminus(1)))) ) ),
    inference(ennf_transformation,[],[f43]) ).

tff(f43,plain,
    ! [X0: $int] :
      ( ~ $less(X0,1)
     => ( fact(X0) = $product(X0,fact($sum(X0,$uminus(1)))) ) ),
    inference(rectify,[],[f17]) ).

tff(f17,plain,
    ! [X8: $int] :
      ( ~ $less(X8,1)
     => ( fact(X8) = $product(X8,fact($sum(X8,$uminus(1)))) ) ),
    inference(theory_normalization,[],[f10]) ).

tff(f10,axiom,
    ! [X8: $int] :
      ( $lesseq(1,X8)
     => ( fact(X8) = $product(X8,fact($difference(X8,1))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',factn) ).

tff(f485,plain,
    ( ~ $less($sum(1,sK1),1)
    | ~ spl6_9 ),
    inference(backward_demodulation,[],[f78,f194]) ).

tff(f78,plain,
    ~ $less(sK4,1),
    inference(cnf_transformation,[],[f63]) ).

tff(f110,plain,
    ( spl6_1
    | ~ spl6_2
    | spl6_3 ),
    inference(avatar_split_clause,[],[f74,f107,f103,f99]) ).

tff(f74,plain,
    ( $less(sK5,0)
    | ( fact(sK5) != sK3 )
    | $less(sK0,sK5) ),
    inference(cnf_transformation,[],[f63]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : SWW581=2 : TPTP v8.1.0. Released v6.1.0.
% 0.03/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31  % Computer : n019.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 30 20:55:50 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.16/0.46  % (11339)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.46  % (11362)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.46  % (11353)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.47  % (11338)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.16/0.47  % (11338)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.47  % (11338)Terminated due to inappropriate strategy.
% 0.16/0.47  % (11338)------------------------------
% 0.16/0.47  % (11338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.47  % (11338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.47  % (11338)Termination reason: Inappropriate
% 0.16/0.47  
% 0.16/0.47  % (11338)Memory used [KB]: 895
% 0.16/0.47  % (11338)Time elapsed: 0.002 s
% 0.16/0.47  % (11338)Instructions burned: 2 (million)
% 0.16/0.47  % (11338)------------------------------
% 0.16/0.47  % (11338)------------------------------
% 0.16/0.47  % (11345)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.47  % (11344)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.48  % (11344)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.48  % (11344)Terminated due to inappropriate strategy.
% 0.16/0.48  % (11344)------------------------------
% 0.16/0.48  % (11344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48  % (11344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48  % (11344)Termination reason: Inappropriate
% 0.16/0.48  
% 0.16/0.48  % (11344)Memory used [KB]: 895
% 0.16/0.48  % (11344)Time elapsed: 0.003 s
% 0.16/0.48  % (11344)Instructions burned: 2 (million)
% 0.16/0.48  % (11344)------------------------------
% 0.16/0.48  % (11344)------------------------------
% 0.16/0.48  % (11361)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.16/0.48  % (11342)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.48  % (11352)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.48  % (11341)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.48  % (11363)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.16/0.49  % (11354)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.49  % (11355)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.49  % (11346)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.49  % (11345)Instruction limit reached!
% 0.16/0.49  % (11345)------------------------------
% 0.16/0.49  % (11345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49  % (11345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49  % (11345)Termination reason: Unknown
% 0.16/0.49  % (11345)Termination phase: Saturation
% 0.16/0.49  
% 0.16/0.49  % (11345)Memory used [KB]: 5500
% 0.16/0.49  % (11345)Time elapsed: 0.083 s
% 0.16/0.49  % (11345)Instructions burned: 7 (million)
% 0.16/0.49  % (11345)------------------------------
% 0.16/0.49  % (11345)------------------------------
% 0.16/0.49  % (11355)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.49  % (11355)Terminated due to inappropriate strategy.
% 0.16/0.49  % (11355)------------------------------
% 0.16/0.49  % (11355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49  % (11355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49  % (11355)Termination reason: Inappropriate
% 0.16/0.49  
% 0.16/0.49  % (11355)Memory used [KB]: 895
% 0.16/0.49  % (11355)Time elapsed: 0.002 s
% 0.16/0.49  % (11355)Instructions burned: 2 (million)
% 0.16/0.49  % (11355)------------------------------
% 0.16/0.49  % (11355)------------------------------
% 0.16/0.49  % (11346)Instruction limit reached!
% 0.16/0.49  % (11346)------------------------------
% 0.16/0.49  % (11346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49  % (11346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49  % (11346)Termination reason: Unknown
% 0.16/0.49  % (11346)Termination phase: Property scanning
% 0.16/0.49  
% 0.16/0.49  % (11346)Memory used [KB]: 895
% 0.16/0.49  % (11346)Time elapsed: 0.002 s
% 0.16/0.49  % (11346)Instructions burned: 3 (million)
% 0.16/0.49  % (11346)------------------------------
% 0.16/0.49  % (11346)------------------------------
% 0.16/0.50  % (11347)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.50  % (11357)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.50  % (11359)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.51  % (11349)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.51  % (11340)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.16/0.52  % (11364)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.52  % (11365)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.16/0.52  % (11343)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.16/0.52  % (11358)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.16/0.52  % (11356)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.53  % (11360)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.16/0.53  % (11361)First to succeed.
% 0.16/0.53  % (11352)Also succeeded, but the first one will report.
% 0.16/0.53  % (11367)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.16/0.53  % (11361)Refutation found. Thanks to Tanya!
% 0.16/0.53  % SZS status Theorem for theBenchmark
% 0.16/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.53  % (11361)------------------------------
% 0.16/0.53  % (11361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53  % (11361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53  % (11361)Termination reason: Refutation
% 0.16/0.53  
% 0.16/0.53  % (11361)Memory used [KB]: 5756
% 0.16/0.53  % (11361)Time elapsed: 0.164 s
% 0.16/0.53  % (11361)Instructions burned: 33 (million)
% 0.16/0.53  % (11361)------------------------------
% 0.16/0.53  % (11361)------------------------------
% 0.16/0.53  % (11337)Success in time 0.215 s
%------------------------------------------------------------------------------