TSTP Solution File: GRA008+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRA008+2 : TPTP v8.1.0. Bugfixed v3.2.0.
% 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 : n003.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 16:13:21 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   82 (  17 unt;   0 def)
%            Number of atoms       :  284 (  62 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  317 ( 115   ~; 105   |;  75   &)
%                                         (   8 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   6 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :  155 ( 126   !;  29   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f481,plain,
    $false,
    inference(avatar_sat_refutation,[],[f320,f354,f450,f453,f478]) ).

fof(f478,plain,
    ~ spl14_1,
    inference(avatar_contradiction_clause,[],[f477]) ).

fof(f477,plain,
    ( $false
    | ~ spl14_1 ),
    inference(subsumption_resolution,[],[f456,f201]) ).

fof(f201,plain,
    head_of(sK3) != tail_of(sK2),
    inference(forward_demodulation,[],[f200,f178]) ).

fof(f178,plain,
    tail_of(sK6(sK3,sK2)) = head_of(sK3),
    inference(unit_resulting_resolution,[],[f111,f112,f165]) ).

fof(f165,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ shortest_path(X4,X2,X3)
      | head_of(X0) = tail_of(sK6(X0,X1))
      | ~ precedes(X1,X0,X3) ),
    inference(subsumption_resolution,[],[f116,f110]) ).

fof(f110,plain,
    complete,
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ( sequential(sK2,sK3)
    & ! [X5] : ~ triangle(sK2,sK3,X5)
    & shortest_path(sK5,sK4,sK1)
    & precedes(sK2,sK3,sK1)
    & complete ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f66,f67]) ).

fof(f67,plain,
    ( ? [X0,X1,X2,X3,X4] :
        ( sequential(X1,X2)
        & ! [X5] : ~ triangle(X1,X2,X5)
        & shortest_path(X4,X3,X0)
        & precedes(X1,X2,X0) )
   => ( sequential(sK2,sK3)
      & ! [X5] : ~ triangle(sK2,sK3,X5)
      & shortest_path(sK5,sK4,sK1)
      & precedes(sK2,sK3,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f66,plain,
    ( ? [X0,X1,X2,X3,X4] :
        ( sequential(X1,X2)
        & ! [X5] : ~ triangle(X1,X2,X5)
        & shortest_path(X4,X3,X0)
        & precedes(X1,X2,X0) )
    & complete ),
    inference(rectify,[],[f55]) ).

fof(f55,plain,
    ( ? [X1,X0,X4,X3,X2] :
        ( sequential(X0,X4)
        & ! [X5] : ~ triangle(X0,X4,X5)
        & shortest_path(X2,X3,X1)
        & precedes(X0,X4,X1) )
    & complete ),
    inference(flattening,[],[f54]) ).

fof(f54,plain,
    ( ? [X0,X4,X2,X1,X3] :
        ( ! [X5] : ~ triangle(X0,X4,X5)
        & shortest_path(X2,X3,X1)
        & precedes(X0,X4,X1)
        & sequential(X0,X4) )
    & complete ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ~ ( complete
     => ! [X0,X4,X2,X1,X3] :
          ( ( shortest_path(X2,X3,X1)
            & precedes(X0,X4,X1)
            & sequential(X0,X4) )
         => ? [X5] : triangle(X0,X4,X5) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ( complete
     => ! [X6,X3,X1,X2,X7] :
          ( ( sequential(X6,X7)
            & precedes(X6,X7,X3)
            & shortest_path(X1,X2,X3) )
         => ? [X8] : triangle(X6,X7,X8) ) ),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ( complete
   => ! [X6,X3,X1,X2,X7] :
        ( ( sequential(X6,X7)
          & precedes(X6,X7,X3)
          & shortest_path(X1,X2,X3) )
       => ? [X8] : triangle(X6,X7,X8) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sequential_is_triangle) ).

fof(f116,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ shortest_path(X4,X2,X3)
      | ~ precedes(X1,X0,X3)
      | ~ complete
      | head_of(X0) = tail_of(sK6(X0,X1)) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ( ! [X0,X1,X2,X3,X4] :
        ( ( head_of(sK6(X0,X1)) = tail_of(X1)
          & edge(sK6(X0,X1))
          & head_of(X0) = tail_of(sK6(X0,X1)) )
        | ~ precedes(X1,X0,X3)
        | ~ shortest_path(X4,X2,X3) )
    | ~ complete ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f70,f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( tail_of(X1) = head_of(X5)
          & edge(X5)
          & head_of(X0) = tail_of(X5) )
     => ( head_of(sK6(X0,X1)) = tail_of(X1)
        & edge(sK6(X0,X1))
        & head_of(X0) = tail_of(sK6(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f70,plain,
    ( ! [X0,X1,X2,X3,X4] :
        ( ? [X5] :
            ( tail_of(X1) = head_of(X5)
            & edge(X5)
            & head_of(X0) = tail_of(X5) )
        | ~ precedes(X1,X0,X3)
        | ~ shortest_path(X4,X2,X3) )
    | ~ complete ),
    inference(rectify,[],[f43]) ).

fof(f43,plain,
    ( ! [X0,X1,X3,X4,X2] :
        ( ? [X5] :
            ( tail_of(X1) = head_of(X5)
            & edge(X5)
            & head_of(X0) = tail_of(X5) )
        | ~ precedes(X1,X0,X4)
        | ~ shortest_path(X2,X3,X4) )
    | ~ complete ),
    inference(flattening,[],[f42]) ).

fof(f42,plain,
    ( ! [X3,X1,X4,X2,X0] :
        ( ? [X5] :
            ( tail_of(X1) = head_of(X5)
            & edge(X5)
            & head_of(X0) = tail_of(X5) )
        | ~ precedes(X1,X0,X4)
        | ~ shortest_path(X2,X3,X4) )
    | ~ complete ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,plain,
    ( complete
   => ! [X3,X1,X4,X2,X0] :
        ( ( precedes(X1,X0,X4)
          & shortest_path(X2,X3,X4) )
       => ? [X5] :
            ( tail_of(X1) = head_of(X5)
            & edge(X5)
            & head_of(X0) = tail_of(X5) ) ) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ( complete
   => ! [X7,X6,X1,X2,X3] :
        ( ( precedes(X6,X7,X3)
          & shortest_path(X1,X2,X3) )
       => ? [X8] :
            ( tail_of(X6) = head_of(X8)
            & edge(X8)
            & tail_of(X8) = head_of(X7) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',back_edge) ).

fof(f112,plain,
    shortest_path(sK5,sK4,sK1),
    inference(cnf_transformation,[],[f68]) ).

fof(f111,plain,
    precedes(sK2,sK3,sK1),
    inference(cnf_transformation,[],[f68]) ).

fof(f200,plain,
    tail_of(sK6(sK3,sK2)) != tail_of(sK2),
    inference(forward_demodulation,[],[f197,f179]) ).

fof(f179,plain,
    head_of(sK6(sK3,sK2)) = tail_of(sK2),
    inference(unit_resulting_resolution,[],[f112,f111,f166]) ).

fof(f166,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ shortest_path(X4,X2,X3)
      | ~ precedes(X1,X0,X3)
      | head_of(sK6(X0,X1)) = tail_of(X1) ),
    inference(subsumption_resolution,[],[f118,f110]) ).

fof(f118,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ precedes(X1,X0,X3)
      | ~ complete
      | head_of(sK6(X0,X1)) = tail_of(X1)
      | ~ shortest_path(X4,X2,X3) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f197,plain,
    tail_of(sK6(sK3,sK2)) != head_of(sK6(sK3,sK2)),
    inference(unit_resulting_resolution,[],[f177,f155]) ).

fof(f155,plain,
    ! [X0] :
      ( head_of(X0) != tail_of(X0)
      | ~ edge(X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0] :
      ( ~ edge(X0)
      | head_of(X0) != tail_of(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( edge(X0)
     => head_of(X0) != tail_of(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_loops) ).

fof(f177,plain,
    edge(sK6(sK3,sK2)),
    inference(unit_resulting_resolution,[],[f112,f111,f167]) ).

fof(f167,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ shortest_path(X4,X2,X3)
      | ~ precedes(X1,X0,X3)
      | edge(sK6(X0,X1)) ),
    inference(subsumption_resolution,[],[f117,f110]) ).

fof(f117,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ precedes(X1,X0,X3)
      | ~ complete
      | edge(sK6(X0,X1))
      | ~ shortest_path(X4,X2,X3) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f456,plain,
    ( head_of(sK3) = tail_of(sK2)
    | ~ spl14_1 ),
    inference(backward_demodulation,[],[f179,f301]) ).

fof(f301,plain,
    ( sK6(sK3,sK2) = sK3
    | ~ spl14_1 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f299,plain,
    ( spl14_1
  <=> sK6(sK3,sK2) = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).

fof(f453,plain,
    ( spl14_1
    | spl14_2 ),
    inference(avatar_split_clause,[],[f452,f303,f299]) ).

fof(f303,plain,
    ( spl14_2
  <=> sequential(sK3,sK6(sK3,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).

fof(f452,plain,
    ( sK6(sK3,sK2) = sK3
    | spl14_2 ),
    inference(subsumption_resolution,[],[f451,f304]) ).

fof(f304,plain,
    ( ~ sequential(sK3,sK6(sK3,sK2))
    | spl14_2 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f451,plain,
    ( sequential(sK3,sK6(sK3,sK2))
    | sK6(sK3,sK2) = sK3 ),
    inference(subsumption_resolution,[],[f398,f170]) ).

fof(f170,plain,
    edge(sK3),
    inference(unit_resulting_resolution,[],[f114,f153]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( ~ sequential(X0,X1)
      | edge(X1) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ( sequential(X0,X1)
        | ~ edge(X1)
        | head_of(X0) != tail_of(X1)
        | ~ edge(X0)
        | X0 = X1 )
      & ( ( edge(X1)
          & head_of(X0) = tail_of(X1)
          & edge(X0)
          & X0 != X1 )
        | ~ sequential(X0,X1) ) ),
    inference(flattening,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ( sequential(X0,X1)
        | ~ edge(X1)
        | head_of(X0) != tail_of(X1)
        | ~ edge(X0)
        | X0 = X1 )
      & ( ( edge(X1)
          & head_of(X0) = tail_of(X1)
          & edge(X0)
          & X0 != X1 )
        | ~ sequential(X0,X1) ) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( sequential(X0,X1)
    <=> ( edge(X1)
        & head_of(X0) = tail_of(X1)
        & edge(X0)
        & X0 != X1 ) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X6,X7] :
      ( sequential(X6,X7)
    <=> ( X6 != X7
        & head_of(X6) = tail_of(X7)
        & edge(X7)
        & edge(X6) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sequential_defn) ).

fof(f114,plain,
    sequential(sK2,sK3),
    inference(cnf_transformation,[],[f68]) ).

fof(f398,plain,
    ( ~ edge(sK3)
    | sK6(sK3,sK2) = sK3
    | sequential(sK3,sK6(sK3,sK2)) ),
    inference(equality_resolution,[],[f223]) ).

fof(f223,plain,
    ! [X10] :
      ( head_of(X10) != head_of(sK3)
      | sequential(X10,sK6(sK3,sK2))
      | sK6(sK3,sK2) = X10
      | ~ edge(X10) ),
    inference(subsumption_resolution,[],[f219,f177]) ).

fof(f219,plain,
    ! [X10] :
      ( sK6(sK3,sK2) = X10
      | head_of(X10) != head_of(sK3)
      | ~ edge(X10)
      | sequential(X10,sK6(sK3,sK2))
      | ~ edge(sK6(sK3,sK2)) ),
    inference(superposition,[],[f154,f178]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( head_of(X0) != tail_of(X1)
      | X0 = X1
      | sequential(X0,X1)
      | ~ edge(X0)
      | ~ edge(X1) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f450,plain,
    ( ~ spl14_2
    | ~ spl14_4 ),
    inference(avatar_contradiction_clause,[],[f449]) ).

fof(f449,plain,
    ( $false
    | ~ spl14_2
    | ~ spl14_4 ),
    inference(subsumption_resolution,[],[f443,f319]) ).

fof(f319,plain,
    ( sequential(sK6(sK3,sK2),sK2)
    | ~ spl14_4 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f317,plain,
    ( spl14_4
  <=> sequential(sK6(sK3,sK2),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).

fof(f443,plain,
    ( ~ sequential(sK6(sK3,sK2),sK2)
    | ~ spl14_2 ),
    inference(unit_resulting_resolution,[],[f170,f168,f114,f177,f113,f305,f115]) ).

fof(f115,plain,
    ! [X2,X0,X1] :
      ( triangle(X2,X0,X1)
      | ~ edge(X2)
      | ~ edge(X1)
      | ~ sequential(X1,X2)
      | ~ sequential(X0,X1)
      | ~ sequential(X2,X0)
      | ~ edge(X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( ~ sequential(X1,X2)
      | ~ sequential(X2,X0)
      | ~ edge(X2)
      | triangle(X2,X0,X1)
      | ~ edge(X0)
      | ~ edge(X1)
      | ~ sequential(X0,X1) ),
    inference(rectify,[],[f57]) ).

fof(f57,plain,
    ! [X1,X0,X2] :
      ( ~ sequential(X0,X2)
      | ~ sequential(X2,X1)
      | ~ edge(X2)
      | triangle(X2,X1,X0)
      | ~ edge(X1)
      | ~ edge(X0)
      | ~ sequential(X1,X0) ),
    inference(flattening,[],[f56]) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( triangle(X2,X1,X0)
      | ~ edge(X2)
      | ~ sequential(X0,X2)
      | ~ edge(X1)
      | ~ sequential(X2,X1)
      | ~ sequential(X1,X0)
      | ~ edge(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( ( edge(X2)
        & sequential(X0,X2)
        & edge(X1)
        & sequential(X2,X1)
        & sequential(X1,X0)
        & edge(X0) )
     => triangle(X2,X1,X0) ),
    inference(unused_predicate_definition_removal,[],[f24]) ).

fof(f24,plain,
    ! [X2,X0,X1] :
      ( ( edge(X2)
        & sequential(X0,X2)
        & edge(X1)
        & sequential(X2,X1)
        & sequential(X1,X0)
        & edge(X0) )
    <=> triangle(X2,X1,X0) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X8,X7,X6] :
      ( ( sequential(X8,X6)
        & sequential(X6,X7)
        & edge(X8)
        & edge(X7)
        & sequential(X7,X8)
        & edge(X6) )
    <=> triangle(X6,X7,X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',triangle_defn) ).

fof(f305,plain,
    ( sequential(sK3,sK6(sK3,sK2))
    | ~ spl14_2 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f113,plain,
    ! [X5] : ~ triangle(sK2,sK3,X5),
    inference(cnf_transformation,[],[f68]) ).

fof(f168,plain,
    edge(sK2),
    inference(unit_resulting_resolution,[],[f114,f151]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( ~ sequential(X0,X1)
      | edge(X0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f354,plain,
    ~ spl14_3,
    inference(avatar_contradiction_clause,[],[f353]) ).

fof(f353,plain,
    ( $false
    | ~ spl14_3 ),
    inference(subsumption_resolution,[],[f337,f176]) ).

fof(f176,plain,
    head_of(sK2) != tail_of(sK2),
    inference(unit_resulting_resolution,[],[f168,f155]) ).

fof(f337,plain,
    ( head_of(sK2) = tail_of(sK2)
    | ~ spl14_3 ),
    inference(backward_demodulation,[],[f179,f315]) ).

fof(f315,plain,
    ( sK2 = sK6(sK3,sK2)
    | ~ spl14_3 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f313,plain,
    ( spl14_3
  <=> sK2 = sK6(sK3,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).

fof(f320,plain,
    ( spl14_3
    | spl14_4 ),
    inference(avatar_split_clause,[],[f311,f317,f313]) ).

fof(f311,plain,
    ( sequential(sK6(sK3,sK2),sK2)
    | sK2 = sK6(sK3,sK2) ),
    inference(subsumption_resolution,[],[f310,f168]) ).

fof(f310,plain,
    ( ~ edge(sK2)
    | sK2 = sK6(sK3,sK2)
    | sequential(sK6(sK3,sK2),sK2) ),
    inference(equality_resolution,[],[f238]) ).

fof(f238,plain,
    ! [X0] :
      ( tail_of(X0) != tail_of(sK2)
      | sequential(sK6(sK3,sK2),X0)
      | ~ edge(X0)
      | sK6(sK3,sK2) = X0 ),
    inference(subsumption_resolution,[],[f235,f177]) ).

fof(f235,plain,
    ! [X0] :
      ( sK6(sK3,sK2) = X0
      | tail_of(X0) != tail_of(sK2)
      | ~ edge(sK6(sK3,sK2))
      | ~ edge(X0)
      | sequential(sK6(sK3,sK2),X0) ),
    inference(superposition,[],[f154,f179]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GRA008+2 : TPTP v8.1.0. Bugfixed v3.2.0.
% 0.04/0.13  % 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 : n003.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   : Mon Aug 29 22:01:07 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  % (28658)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.48  % (28661)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.48  % (28655)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49  % (28659)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.49  % (28657)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.49  % (28681)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.50  % (28654)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50  % (28674)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50  % (28657)Instruction limit reached!
% 0.19/0.50  % (28657)------------------------------
% 0.19/0.50  % (28657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (28657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (28657)Termination reason: Unknown
% 0.19/0.50  % (28657)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (28657)Memory used [KB]: 1663
% 0.19/0.50  % (28657)Time elapsed: 0.106 s
% 0.19/0.50  % (28657)Instructions burned: 16 (million)
% 0.19/0.50  % (28657)------------------------------
% 0.19/0.50  % (28657)------------------------------
% 0.19/0.50  % (28652)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51  % (28660)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51  % (28654)Instruction limit reached!
% 0.19/0.51  % (28654)------------------------------
% 0.19/0.51  % (28654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (28654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (28654)Termination reason: Unknown
% 0.19/0.51  % (28654)Termination phase: Preprocessing 3
% 0.19/0.51  
% 0.19/0.51  % (28654)Memory used [KB]: 1535
% 0.19/0.51  % (28654)Time elapsed: 0.004 s
% 0.19/0.51  % (28654)Instructions burned: 3 (million)
% 0.19/0.51  % (28654)------------------------------
% 0.19/0.51  % (28654)------------------------------
% 0.19/0.51  % (28667)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51  % (28672)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.51  % (28673)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.51  % (28666)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (28662)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.51  % (28667)Instruction limit reached!
% 0.19/0.51  % (28667)------------------------------
% 0.19/0.51  % (28667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (28667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (28667)Termination reason: Unknown
% 0.19/0.51  % (28667)Termination phase: Property scanning
% 0.19/0.51  
% 0.19/0.51  % (28667)Memory used [KB]: 1535
% 0.19/0.51  % (28667)Time elapsed: 0.003 s
% 0.19/0.51  % (28667)Instructions burned: 3 (million)
% 0.19/0.51  % (28667)------------------------------
% 0.19/0.51  % (28667)------------------------------
% 0.19/0.51  % (28672)Instruction limit reached!
% 0.19/0.51  % (28672)------------------------------
% 0.19/0.51  % (28672)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (28672)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (28672)Termination reason: Unknown
% 0.19/0.51  % (28672)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (28672)Memory used [KB]: 6268
% 0.19/0.51  % (28672)Time elapsed: 0.123 s
% 0.19/0.51  % (28672)Instructions burned: 12 (million)
% 0.19/0.51  % (28672)------------------------------
% 0.19/0.51  % (28672)------------------------------
% 0.19/0.51  % (28653)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51  % (28682)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.51  % (28677)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.52  % (28655)First to succeed.
% 0.19/0.52  % (28670)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52  % (28670)Instruction limit reached!
% 0.19/0.52  % (28670)------------------------------
% 0.19/0.52  % (28670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (28670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (28670)Termination reason: Unknown
% 0.19/0.52  % (28670)Termination phase: Preprocessing 3
% 0.19/0.52  
% 0.19/0.52  % (28670)Memory used [KB]: 1535
% 0.19/0.52  % (28670)Time elapsed: 0.003 s
% 0.19/0.52  % (28670)Instructions burned: 3 (million)
% 0.19/0.52  % (28670)------------------------------
% 0.19/0.52  % (28670)------------------------------
% 0.19/0.52  % (28655)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Theorem for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (28655)------------------------------
% 0.19/0.52  % (28655)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (28655)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (28655)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (28655)Memory used [KB]: 6396
% 0.19/0.52  % (28655)Time elapsed: 0.110 s
% 0.19/0.52  % (28655)Instructions burned: 24 (million)
% 0.19/0.52  % (28655)------------------------------
% 0.19/0.52  % (28655)------------------------------
% 0.19/0.52  % (28646)Success in time 0.171 s
%------------------------------------------------------------------------------