TSTP Solution File: SEU215+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU215+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:27:31 EDT 2022

% Result   : Theorem 0.18s 0.55s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   82 (  13 unt;   0 def)
%            Number of atoms       :  316 (  27 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  377 ( 143   ~; 149   |;  43   &)
%                                         (  17 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   97 (  91   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f319,plain,
    $false,
    inference(avatar_sat_refutation,[],[f199,f222,f268,f275,f318]) ).

fof(f318,plain,
    ~ spl11_5,
    inference(avatar_contradiction_clause,[],[f317]) ).

fof(f317,plain,
    ( $false
    | ~ spl11_5 ),
    inference(subsumption_resolution,[],[f316,f194]) ).

fof(f194,plain,
    ( in(sK6,relation_dom(relation_composition(sK5,sK7)))
    | ~ spl11_5 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f192,plain,
    ( spl11_5
  <=> in(sK6,relation_dom(relation_composition(sK5,sK7))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).

fof(f316,plain,
    ~ in(sK6,relation_dom(relation_composition(sK5,sK7))),
    inference(subsumption_resolution,[],[f315,f110]) ).

fof(f110,plain,
    function(sK5),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ? [X1,X0] :
      ( function(X1)
      & ? [X2] :
          ( relation(X2)
          & function(X2)
          & apply(relation_composition(X1,X2),X0) != apply(X2,apply(X1,X0))
          & in(X0,relation_dom(X1)) )
      & relation(X1) ),
    inference(flattening,[],[f67]) ).

fof(f67,plain,
    ? [X1,X0] :
      ( ? [X2] :
          ( apply(relation_composition(X1,X2),X0) != apply(X2,apply(X1,X0))
          & in(X0,relation_dom(X1))
          & function(X2)
          & relation(X2) )
      & relation(X1)
      & function(X1) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,negated_conjecture,
    ~ ! [X1,X0] :
        ( ( relation(X1)
          & function(X1) )
       => ! [X2] :
            ( ( function(X2)
              & relation(X2) )
           => ( in(X0,relation_dom(X1))
             => apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
    inference(negated_conjecture,[],[f36]) ).

fof(f36,conjecture,
    ! [X1,X0] :
      ( ( relation(X1)
        & function(X1) )
     => ! [X2] :
          ( ( function(X2)
            & relation(X2) )
         => ( in(X0,relation_dom(X1))
           => apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_funct_1) ).

fof(f315,plain,
    ( ~ function(sK5)
    | ~ in(sK6,relation_dom(relation_composition(sK5,sK7))) ),
    inference(subsumption_resolution,[],[f314,f107]) ).

fof(f107,plain,
    function(sK7),
    inference(cnf_transformation,[],[f68]) ).

fof(f314,plain,
    ( ~ function(sK7)
    | ~ in(sK6,relation_dom(relation_composition(sK5,sK7)))
    | ~ function(sK5) ),
    inference(subsumption_resolution,[],[f313,f108]) ).

fof(f108,plain,
    relation(sK7),
    inference(cnf_transformation,[],[f68]) ).

fof(f313,plain,
    ( ~ relation(sK7)
    | ~ in(sK6,relation_dom(relation_composition(sK5,sK7)))
    | ~ function(sK5)
    | ~ function(sK7) ),
    inference(subsumption_resolution,[],[f310,f109]) ).

fof(f109,plain,
    relation(sK5),
    inference(cnf_transformation,[],[f68]) ).

fof(f310,plain,
    ( ~ relation(sK5)
    | ~ relation(sK7)
    | ~ function(sK5)
    | ~ in(sK6,relation_dom(relation_composition(sK5,sK7)))
    | ~ function(sK7) ),
    inference(resolution,[],[f175,f137]) ).

fof(f137,plain,
    ~ sQ10_eqProxy(apply(relation_composition(sK5,sK7),sK6),apply(sK7,apply(sK5,sK6))),
    inference(equality_proxy_replacement,[],[f106,f134]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( sQ10_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ10_eqProxy])]) ).

fof(f106,plain,
    apply(relation_composition(sK5,sK7),sK6) != apply(sK7,apply(sK5,sK6)),
    inference(cnf_transformation,[],[f68]) ).

fof(f175,plain,
    ! [X3,X4,X5] :
      ( sQ10_eqProxy(apply(relation_composition(X3,X4),X5),apply(X4,apply(X3,X5)))
      | ~ relation(X3)
      | ~ relation(X4)
      | ~ in(X5,relation_dom(relation_composition(X3,X4)))
      | ~ function(X3)
      | ~ function(X4) ),
    inference(resolution,[],[f145,f139]) ).

fof(f139,plain,
    ! [X2,X0,X1] :
      ( sQ10_eqProxy(apply(X0,apply(X2,X1)),apply(relation_composition(X2,X0),X1))
      | ~ in(X1,relation_dom(relation_composition(X2,X0)))
      | ~ function(X0)
      | ~ function(X2)
      | ~ relation(X0)
      | ~ relation(X2) ),
    inference(equality_proxy_replacement,[],[f120,f134]) ).

fof(f120,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X0)
      | ~ function(X0)
      | ~ in(X1,relation_dom(relation_composition(X2,X0)))
      | ~ function(X2)
      | apply(X0,apply(X2,X1)) = apply(relation_composition(X2,X0),X1)
      | ~ relation(X2) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ relation(X2)
          | apply(X0,apply(X2,X1)) = apply(relation_composition(X2,X0),X1)
          | ~ function(X2)
          | ~ in(X1,relation_dom(relation_composition(X2,X0))) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( apply(X0,apply(X2,X1)) = apply(relation_composition(X2,X0),X1)
          | ~ in(X1,relation_dom(relation_composition(X2,X0)))
          | ~ relation(X2)
          | ~ function(X2) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ( relation(X0)
        & function(X0) )
     => ! [X2] :
          ( ( relation(X2)
            & function(X2) )
         => ( in(X1,relation_dom(relation_composition(X2,X0)))
           => apply(X0,apply(X2,X1)) = apply(relation_composition(X2,X0),X1) ) ) ),
    inference(rectify,[],[f35]) ).

fof(f35,axiom,
    ! [X1,X0] :
      ( ( relation(X1)
        & function(X1) )
     => ! [X2] :
          ( ( relation(X2)
            & function(X2) )
         => ( in(X0,relation_dom(relation_composition(X2,X1)))
           => apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_funct_1) ).

fof(f145,plain,
    ! [X0,X1] :
      ( ~ sQ10_eqProxy(X0,X1)
      | sQ10_eqProxy(X1,X0) ),
    inference(equality_proxy_axiom,[],[f134]) ).

fof(f275,plain,
    spl11_6,
    inference(avatar_contradiction_clause,[],[f274]) ).

fof(f274,plain,
    ( $false
    | spl11_6 ),
    inference(subsumption_resolution,[],[f273,f108]) ).

fof(f273,plain,
    ( ~ relation(sK7)
    | spl11_6 ),
    inference(subsumption_resolution,[],[f270,f109]) ).

fof(f270,plain,
    ( ~ relation(sK5)
    | ~ relation(sK7)
    | spl11_6 ),
    inference(resolution,[],[f198,f117]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( relation(relation_composition(X0,X1))
      | ~ relation(X0)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X1,X0] :
      ( relation(relation_composition(X0,X1))
      | ~ relation(X0)
      | ~ relation(X1) ),
    inference(flattening,[],[f73]) ).

fof(f73,plain,
    ! [X1,X0] :
      ( relation(relation_composition(X0,X1))
      | ~ relation(X0)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X1,X0] :
      ( ( relation(X0)
        & relation(X1) )
     => relation(relation_composition(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).

fof(f198,plain,
    ( ~ relation(relation_composition(sK5,sK7))
    | spl11_6 ),
    inference(avatar_component_clause,[],[f196]) ).

fof(f196,plain,
    ( spl11_6
  <=> relation(relation_composition(sK5,sK7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).

fof(f268,plain,
    ( spl11_5
    | spl11_4 ),
    inference(avatar_split_clause,[],[f267,f188,f192]) ).

fof(f188,plain,
    ( spl11_4
  <=> sQ10_eqProxy(empty_set,apply(sK7,apply(sK5,sK6))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).

fof(f267,plain,
    ( in(sK6,relation_dom(relation_composition(sK5,sK7)))
    | spl11_4 ),
    inference(subsumption_resolution,[],[f266,f110]) ).

fof(f266,plain,
    ( ~ function(sK5)
    | in(sK6,relation_dom(relation_composition(sK5,sK7)))
    | spl11_4 ),
    inference(subsumption_resolution,[],[f265,f108]) ).

fof(f265,plain,
    ( in(sK6,relation_dom(relation_composition(sK5,sK7)))
    | ~ relation(sK7)
    | ~ function(sK5)
    | spl11_4 ),
    inference(subsumption_resolution,[],[f264,f107]) ).

fof(f264,plain,
    ( in(sK6,relation_dom(relation_composition(sK5,sK7)))
    | ~ function(sK7)
    | ~ function(sK5)
    | ~ relation(sK7)
    | spl11_4 ),
    inference(subsumption_resolution,[],[f263,f109]) ).

fof(f263,plain,
    ( in(sK6,relation_dom(relation_composition(sK5,sK7)))
    | ~ relation(sK5)
    | ~ function(sK7)
    | ~ function(sK5)
    | ~ relation(sK7)
    | spl11_4 ),
    inference(subsumption_resolution,[],[f258,f105]) ).

fof(f105,plain,
    in(sK6,relation_dom(sK5)),
    inference(cnf_transformation,[],[f68]) ).

fof(f258,plain,
    ( ~ in(sK6,relation_dom(sK5))
    | in(sK6,relation_dom(relation_composition(sK5,sK7)))
    | ~ function(sK5)
    | ~ relation(sK7)
    | ~ relation(sK5)
    | ~ function(sK7)
    | spl11_4 ),
    inference(resolution,[],[f257,f116]) ).

fof(f116,plain,
    ! [X2,X0,X1] :
      ( ~ in(apply(X2,X1),relation_dom(X0))
      | ~ relation(X0)
      | ~ function(X2)
      | in(X1,relation_dom(relation_composition(X2,X0)))
      | ~ in(X1,relation_dom(X2))
      | ~ relation(X2)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X1,X0] :
      ( ~ relation(X0)
      | ! [X2] :
          ( ~ function(X2)
          | ( in(X1,relation_dom(relation_composition(X2,X0)))
          <=> ( in(X1,relation_dom(X2))
              & in(apply(X2,X1),relation_dom(X0)) ) )
          | ~ relation(X2) )
      | ~ function(X0) ),
    inference(flattening,[],[f69]) ).

fof(f69,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( ( in(X1,relation_dom(relation_composition(X2,X0)))
          <=> ( in(X1,relation_dom(X2))
              & in(apply(X2,X1),relation_dom(X0)) ) )
          | ~ relation(X2)
          | ~ function(X2) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X1,X0] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X2] :
          ( ( relation(X2)
            & function(X2) )
         => ( in(X1,relation_dom(relation_composition(X2,X0)))
          <=> ( in(X1,relation_dom(X2))
              & in(apply(X2,X1),relation_dom(X0)) ) ) ) ),
    inference(rectify,[],[f34]) ).

fof(f34,axiom,
    ! [X1,X0] :
      ( ( function(X1)
        & relation(X1) )
     => ! [X2] :
          ( ( relation(X2)
            & function(X2) )
         => ( in(X0,relation_dom(relation_composition(X2,X1)))
          <=> ( in(apply(X2,X0),relation_dom(X1))
              & in(X0,relation_dom(X2)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_1) ).

fof(f257,plain,
    ( in(apply(sK5,sK6),relation_dom(sK7))
    | spl11_4 ),
    inference(subsumption_resolution,[],[f256,f108]) ).

fof(f256,plain,
    ( ~ relation(sK7)
    | in(apply(sK5,sK6),relation_dom(sK7))
    | spl11_4 ),
    inference(subsumption_resolution,[],[f254,f107]) ).

fof(f254,plain,
    ( in(apply(sK5,sK6),relation_dom(sK7))
    | ~ function(sK7)
    | ~ relation(sK7)
    | spl11_4 ),
    inference(resolution,[],[f203,f190]) ).

fof(f190,plain,
    ( ~ sQ10_eqProxy(empty_set,apply(sK7,apply(sK5,sK6)))
    | spl11_4 ),
    inference(avatar_component_clause,[],[f188]) ).

fof(f203,plain,
    ! [X10,X9] :
      ( sQ10_eqProxy(empty_set,apply(X10,X9))
      | ~ relation(X10)
      | in(X9,relation_dom(X10))
      | ~ function(X10) ),
    inference(resolution,[],[f141,f144]) ).

fof(f144,plain,
    ! [X0] : sQ10_eqProxy(X0,X0),
    inference(equality_proxy_axiom,[],[f134]) ).

fof(f141,plain,
    ! [X2,X0,X1] :
      ( ~ sQ10_eqProxy(apply(X0,X2),X1)
      | in(X2,relation_dom(X0))
      | sQ10_eqProxy(empty_set,X1)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(equality_proxy_replacement,[],[f125,f134,f134]) ).

fof(f125,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X0)
      | apply(X0,X2) != X1
      | empty_set = X1
      | in(X2,relation_dom(X0))
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ~ function(X0)
      | ! [X2,X1] :
          ( ( ~ in(X2,relation_dom(X0))
            | ( apply(X0,X2) = X1
            <=> in(ordered_pair(X2,X1),X0) ) )
          & ( in(X2,relation_dom(X0))
            | ( empty_set = X1
            <=> apply(X0,X2) = X1 ) ) )
      | ~ relation(X0) ),
    inference(flattening,[],[f65]) ).

fof(f65,plain,
    ! [X0] :
      ( ! [X2,X1] :
          ( ( ~ in(X2,relation_dom(X0))
            | ( apply(X0,X2) = X1
            <=> in(ordered_pair(X2,X1),X0) ) )
          & ( in(X2,relation_dom(X0))
            | ( empty_set = X1
            <=> apply(X0,X2) = X1 ) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ! [X2,X1] :
          ( ( ~ in(X2,relation_dom(X0))
           => ( empty_set = X1
            <=> apply(X0,X2) = X1 ) )
          & ( in(X2,relation_dom(X0))
           => ( apply(X0,X2) = X1
            <=> in(ordered_pair(X2,X1),X0) ) ) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ! [X2,X1] :
          ( ( in(X1,relation_dom(X0))
           => ( apply(X0,X1) = X2
            <=> in(ordered_pair(X1,X2),X0) ) )
          & ( ~ in(X1,relation_dom(X0))
           => ( apply(X0,X1) = X2
            <=> empty_set = X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_funct_1) ).

fof(f222,plain,
    spl11_3,
    inference(avatar_contradiction_clause,[],[f221]) ).

fof(f221,plain,
    ( $false
    | spl11_3 ),
    inference(subsumption_resolution,[],[f220,f108]) ).

fof(f220,plain,
    ( ~ relation(sK7)
    | spl11_3 ),
    inference(subsumption_resolution,[],[f219,f109]) ).

fof(f219,plain,
    ( ~ relation(sK5)
    | ~ relation(sK7)
    | spl11_3 ),
    inference(subsumption_resolution,[],[f218,f107]) ).

fof(f218,plain,
    ( ~ function(sK7)
    | ~ relation(sK5)
    | ~ relation(sK7)
    | spl11_3 ),
    inference(subsumption_resolution,[],[f216,f110]) ).

fof(f216,plain,
    ( ~ function(sK5)
    | ~ function(sK7)
    | ~ relation(sK5)
    | ~ relation(sK7)
    | spl11_3 ),
    inference(resolution,[],[f186,f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( function(relation_composition(X1,X0))
      | ~ relation(X0)
      | ~ relation(X1)
      | ~ function(X0)
      | ~ function(X1) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | ~ relation(X0)
      | ~ function(X0)
      | ( function(relation_composition(X1,X0))
        & relation(relation_composition(X1,X0)) )
      | ~ function(X1) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ( function(relation_composition(X1,X0))
        & relation(relation_composition(X1,X0)) )
      | ~ function(X1)
      | ~ relation(X1)
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1)
        & relation(X0)
        & function(X0) )
     => ( function(relation_composition(X1,X0))
        & relation(relation_composition(X1,X0)) ) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X1,X0] :
      ( ( relation(X0)
        & function(X0)
        & function(X1)
        & relation(X1) )
     => ( relation(relation_composition(X0,X1))
        & function(relation_composition(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_funct_1) ).

fof(f186,plain,
    ( ~ function(relation_composition(sK5,sK7))
    | spl11_3 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f184,plain,
    ( spl11_3
  <=> function(relation_composition(sK5,sK7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).

fof(f199,plain,
    ( ~ spl11_3
    | ~ spl11_4
    | spl11_5
    | ~ spl11_6 ),
    inference(avatar_split_clause,[],[f181,f196,f192,f188,f184]) ).

fof(f181,plain,
    ( ~ relation(relation_composition(sK5,sK7))
    | in(sK6,relation_dom(relation_composition(sK5,sK7)))
    | ~ sQ10_eqProxy(empty_set,apply(sK7,apply(sK5,sK6)))
    | ~ function(relation_composition(sK5,sK7)) ),
    inference(resolution,[],[f140,f137]) ).

fof(f140,plain,
    ! [X2,X0,X1] :
      ( sQ10_eqProxy(apply(X0,X2),X1)
      | ~ sQ10_eqProxy(empty_set,X1)
      | ~ function(X0)
      | in(X2,relation_dom(X0))
      | ~ relation(X0) ),
    inference(equality_proxy_replacement,[],[f126,f134,f134]) ).

fof(f126,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X0)
      | apply(X0,X2) = X1
      | empty_set != X1
      | in(X2,relation_dom(X0))
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f66]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU215+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 14:58:48 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (8461)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)
% 0.18/0.50  % (8458)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)
% 0.18/0.50  % (8476)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)
% 0.18/0.50  % (8461)Instruction limit reached!
% 0.18/0.50  % (8461)------------------------------
% 0.18/0.50  % (8461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (8468)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)
% 0.18/0.50  % (8468)Instruction limit reached!
% 0.18/0.50  % (8468)------------------------------
% 0.18/0.50  % (8468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (8468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (8468)Termination reason: Unknown
% 0.18/0.50  % (8468)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (8468)Memory used [KB]: 6012
% 0.18/0.50  % (8468)Time elapsed: 0.004 s
% 0.18/0.50  % (8468)Instructions burned: 3 (million)
% 0.18/0.50  % (8468)------------------------------
% 0.18/0.50  % (8468)------------------------------
% 0.18/0.51  % (8465)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)
% 0.18/0.52  % (8453)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)
% 0.18/0.52  % (8452)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)
% 0.18/0.52  % (8465)Instruction limit reached!
% 0.18/0.52  % (8465)------------------------------
% 0.18/0.52  % (8465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (8451)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)
% 0.18/0.52  % (8465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (8465)Termination reason: Unknown
% 0.18/0.52  % (8465)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (8465)Memory used [KB]: 6012
% 0.18/0.52  % (8465)Time elapsed: 0.132 s
% 0.18/0.52  % (8465)Instructions burned: 7 (million)
% 0.18/0.52  % (8465)------------------------------
% 0.18/0.52  % (8465)------------------------------
% 0.18/0.52  % (8461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (8461)Termination reason: Unknown
% 0.18/0.52  % (8461)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (8461)Memory used [KB]: 6012
% 0.18/0.52  % (8461)Time elapsed: 0.102 s
% 0.18/0.52  % (8461)Instructions burned: 7 (million)
% 0.18/0.52  % (8461)------------------------------
% 0.18/0.52  % (8461)------------------------------
% 0.18/0.52  % (8462)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)
% 0.18/0.52  % (8451)Refutation not found, incomplete strategy% (8451)------------------------------
% 0.18/0.52  % (8451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (8451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (8451)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (8451)Memory used [KB]: 6012
% 0.18/0.52  % (8451)Time elapsed: 0.124 s
% 0.18/0.52  % (8451)Instructions burned: 4 (million)
% 0.18/0.52  % (8457)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)
% 0.18/0.53  % (8456)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)
% 0.18/0.53  % (8450)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.53  % (8470)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)
% 0.18/0.53  % (8451)------------------------------
% 0.18/0.53  % (8451)------------------------------
% 0.18/0.53  % (8463)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)
% 0.18/0.54  % (8455)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)
% 0.18/0.54  % (8452)Instruction limit reached!
% 0.18/0.54  % (8452)------------------------------
% 0.18/0.54  % (8452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (8452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (8452)Termination reason: Unknown
% 0.18/0.54  % (8452)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (8452)Memory used [KB]: 1407
% 0.18/0.54  % (8452)Time elapsed: 0.003 s
% 0.18/0.54  % (8452)Instructions burned: 3 (million)
% 0.18/0.54  % (8452)------------------------------
% 0.18/0.54  % (8452)------------------------------
% 0.18/0.54  % (8466)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)
% 0.18/0.54  % (8478)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)
% 0.18/0.54  % (8479)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)
% 0.18/0.54  % (8475)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)
% 0.18/0.54  % (8478)Instruction limit reached!
% 0.18/0.54  % (8478)------------------------------
% 0.18/0.54  % (8478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (8478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (8478)Termination reason: Unknown
% 0.18/0.54  % (8478)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (8478)Memory used [KB]: 6140
% 0.18/0.54  % (8478)Time elapsed: 0.120 s
% 0.18/0.54  % (8478)Instructions burned: 8 (million)
% 0.18/0.54  % (8478)------------------------------
% 0.18/0.54  % (8478)------------------------------
% 0.18/0.55  % (8470)First to succeed.
% 0.18/0.55  % (8474)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)
% 0.18/0.55  % (8467)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.55  % (8464)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)
% 0.18/0.55  % (8467)Instruction limit reached!
% 0.18/0.55  % (8467)------------------------------
% 0.18/0.55  % (8467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (8455)Refutation not found, incomplete strategy% (8455)------------------------------
% 0.18/0.55  % (8455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (8455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (8455)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.55  
% 0.18/0.55  % (8455)Memory used [KB]: 1535
% 0.18/0.55  % (8455)Time elapsed: 0.130 s
% 0.18/0.55  % (8455)Instructions burned: 4 (million)
% 0.18/0.55  % (8455)------------------------------
% 0.18/0.55  % (8455)------------------------------
% 0.18/0.55  % (8460)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)
% 0.18/0.55  % (8454)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)
% 0.18/0.55  % (8472)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)
% 0.18/0.55  % (8470)Refutation found. Thanks to Tanya!
% 0.18/0.55  % SZS status Theorem for theBenchmark
% 0.18/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.55  % (8470)------------------------------
% 0.18/0.55  % (8470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (8470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (8470)Termination reason: Refutation
% 0.18/0.55  
% 0.18/0.55  % (8470)Memory used [KB]: 6140
% 0.18/0.55  % (8470)Time elapsed: 0.108 s
% 0.18/0.55  % (8470)Instructions burned: 9 (million)
% 0.18/0.55  % (8470)------------------------------
% 0.18/0.55  % (8470)------------------------------
% 0.18/0.55  % (8449)Success in time 0.212 s
%------------------------------------------------------------------------------