TSTP Solution File: GEO127+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO127+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n017.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 16:08:29 EDT 2022

% Result   : Theorem 1.74s 0.56s
% Output   : Refutation 1.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  110 (  15 unt;   0 def)
%            Number of atoms       :  400 (  15 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  452 ( 162   ~; 160   |;  92   &)
%                                         (  22 <=>;  15  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  15 usr;   8 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :  191 ( 151   !;  40   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f707,plain,
    $false,
    inference(avatar_sat_refutation,[],[f258,f262,f271,f287,f291,f626,f635,f706]) ).

fof(f706,plain,
    ~ spl25_9,
    inference(avatar_contradiction_clause,[],[f705]) ).

fof(f705,plain,
    ( $false
    | ~ spl25_9 ),
    inference(subsumption_resolution,[],[f704,f169]) ).

fof(f169,plain,
    ! [X0] : open(sK3(X0)),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0] :
      ( ! [X2] :
          ( ( incident_c(X2,sK3(X0))
            | ~ incident_o(X2,X0) )
          & ( incident_o(X2,X0)
            | ~ incident_c(X2,sK3(X0)) ) )
      & open(sK3(X0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f91,f92]) ).

fof(f92,plain,
    ! [X0] :
      ( ? [X1] :
          ( ! [X2] :
              ( ( incident_c(X2,X1)
                | ~ incident_o(X2,X0) )
              & ( incident_o(X2,X0)
                | ~ incident_c(X2,X1) ) )
          & open(X1) )
     => ( ! [X2] :
            ( ( incident_c(X2,sK3(X0))
              | ~ incident_o(X2,X0) )
            & ( incident_o(X2,X0)
              | ~ incident_c(X2,sK3(X0)) ) )
        & open(sK3(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f91,plain,
    ! [X0] :
    ? [X1] :
      ( ! [X2] :
          ( ( incident_c(X2,X1)
            | ~ incident_o(X2,X0) )
          & ( incident_o(X2,X0)
            | ~ incident_c(X2,X1) ) )
      & open(X1) ),
    inference(nnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0] :
    ? [X1] :
      ( ! [X2] :
          ( incident_c(X2,X1)
        <=> incident_o(X2,X0) )
      & open(X1) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X8] :
    ? [X0] :
      ( ! [X2] :
          ( incident_c(X2,X0)
        <=> incident_o(X2,X8) )
      & open(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',o2) ).

fof(f704,plain,
    ( ~ open(sK3(sK11))
    | ~ spl25_9 ),
    inference(subsumption_resolution,[],[f703,f685]) ).

fof(f685,plain,
    ( ~ end_point(sK12,sK3(sK11))
    | ~ spl25_9 ),
    inference(superposition,[],[f273,f644]) ).

fof(f644,plain,
    ( sK2(sK3(sK11)) = sK12
    | ~ spl25_9 ),
    inference(resolution,[],[f625,f279]) ).

fof(f279,plain,
    ! [X0] : incident_o(sK2(sK3(X0)),X0),
    inference(resolution,[],[f170,f274]) ).

fof(f274,plain,
    ! [X0] : incident_c(sK2(X0),X0),
    inference(resolution,[],[f213,f168]) ).

fof(f168,plain,
    ! [X0] : inner_point(sK2(X0),X0),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0] : inner_point(sK2(X0),X0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f46,f89]) ).

fof(f89,plain,
    ! [X0] :
      ( ? [X1] : inner_point(X1,X0)
     => inner_point(sK2(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f46,plain,
    ! [X0] :
    ? [X1] : inner_point(X1,X0),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
    ? [X2] : inner_point(X2,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3) ).

fof(f213,plain,
    ! [X0,X1] :
      ( ~ inner_point(X1,X0)
      | incident_c(X1,X0) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( ( ( incident_c(X1,X0)
          & ~ end_point(X1,X0) )
        | ~ inner_point(X1,X0) )
      & ( inner_point(X1,X0)
        | ~ incident_c(X1,X0)
        | end_point(X1,X0) ) ),
    inference(rectify,[],[f135]) ).

fof(f135,plain,
    ! [X1,X0] :
      ( ( ( incident_c(X0,X1)
          & ~ end_point(X0,X1) )
        | ~ inner_point(X0,X1) )
      & ( inner_point(X0,X1)
        | ~ incident_c(X0,X1)
        | end_point(X0,X1) ) ),
    inference(flattening,[],[f134]) ).

fof(f134,plain,
    ! [X1,X0] :
      ( ( ( incident_c(X0,X1)
          & ~ end_point(X0,X1) )
        | ~ inner_point(X0,X1) )
      & ( inner_point(X0,X1)
        | ~ incident_c(X0,X1)
        | end_point(X0,X1) ) ),
    inference(nnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X1,X0] :
      ( ( incident_c(X0,X1)
        & ~ end_point(X0,X1) )
    <=> inner_point(X0,X1) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X2,X0] :
      ( inner_point(X2,X0)
    <=> ( ~ end_point(X2,X0)
        & incident_c(X2,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn) ).

fof(f170,plain,
    ! [X2,X0] :
      ( ~ incident_c(X2,sK3(X0))
      | incident_o(X2,X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f625,plain,
    ( ! [X7] :
        ( ~ incident_o(X7,sK11)
        | sK12 = X7 )
    | ~ spl25_9 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f624,plain,
    ( spl25_9
  <=> ! [X7] :
        ( sK12 = X7
        | ~ incident_o(X7,sK11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_9])]) ).

fof(f273,plain,
    ! [X0] : ~ end_point(sK2(X0),X0),
    inference(resolution,[],[f212,f168]) ).

fof(f212,plain,
    ! [X0,X1] :
      ( ~ inner_point(X1,X0)
      | ~ end_point(X1,X0) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f703,plain,
    ( end_point(sK12,sK3(sK11))
    | ~ open(sK3(sK11))
    | ~ spl25_9 ),
    inference(superposition,[],[f230,f657]) ).

fof(f657,plain,
    ( sK22(sK3(sK11)) = sK12
    | ~ spl25_9 ),
    inference(resolution,[],[f625,f282]) ).

fof(f282,plain,
    ! [X2] : incident_o(sK22(sK3(X2)),X2),
    inference(subsumption_resolution,[],[f281,f169]) ).

fof(f281,plain,
    ! [X2] :
      ( incident_o(sK22(sK3(X2)),X2)
      | ~ open(sK3(X2)) ),
    inference(resolution,[],[f170,f276]) ).

fof(f276,plain,
    ! [X0] :
      ( incident_c(sK22(X0),X0)
      | ~ open(X0) ),
    inference(resolution,[],[f230,f218]) ).

fof(f218,plain,
    ! [X0,X1] :
      ( ~ end_point(X1,X0)
      | incident_c(X1,X0) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( ( end_point(X1,X0)
        | ~ incident_c(X1,X0)
        | ( ~ part_of(sK19(X0,X1),sK20(X0,X1))
          & ~ part_of(sK20(X0,X1),sK19(X0,X1))
          & incident_c(X1,sK20(X0,X1))
          & part_of(sK20(X0,X1),X0)
          & incident_c(X1,sK19(X0,X1))
          & part_of(sK19(X0,X1),X0) ) )
      & ( ( incident_c(X1,X0)
          & ! [X4,X5] :
              ( part_of(X4,X5)
              | part_of(X5,X4)
              | ~ incident_c(X1,X5)
              | ~ part_of(X5,X0)
              | ~ incident_c(X1,X4)
              | ~ part_of(X4,X0) ) )
        | ~ end_point(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f143,f144]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ~ part_of(X2,X3)
          & ~ part_of(X3,X2)
          & incident_c(X1,X3)
          & part_of(X3,X0)
          & incident_c(X1,X2)
          & part_of(X2,X0) )
     => ( ~ part_of(sK19(X0,X1),sK20(X0,X1))
        & ~ part_of(sK20(X0,X1),sK19(X0,X1))
        & incident_c(X1,sK20(X0,X1))
        & part_of(sK20(X0,X1),X0)
        & incident_c(X1,sK19(X0,X1))
        & part_of(sK19(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ( end_point(X1,X0)
        | ~ incident_c(X1,X0)
        | ? [X2,X3] :
            ( ~ part_of(X2,X3)
            & ~ part_of(X3,X2)
            & incident_c(X1,X3)
            & part_of(X3,X0)
            & incident_c(X1,X2)
            & part_of(X2,X0) ) )
      & ( ( incident_c(X1,X0)
          & ! [X4,X5] :
              ( part_of(X4,X5)
              | part_of(X5,X4)
              | ~ incident_c(X1,X5)
              | ~ part_of(X5,X0)
              | ~ incident_c(X1,X4)
              | ~ part_of(X4,X0) ) )
        | ~ end_point(X1,X0) ) ),
    inference(rectify,[],[f142]) ).

fof(f142,plain,
    ! [X1,X0] :
      ( ( end_point(X0,X1)
        | ~ incident_c(X0,X1)
        | ? [X2,X3] :
            ( ~ part_of(X2,X3)
            & ~ part_of(X3,X2)
            & incident_c(X0,X3)
            & part_of(X3,X1)
            & incident_c(X0,X2)
            & part_of(X2,X1) ) )
      & ( ( incident_c(X0,X1)
          & ! [X2,X3] :
              ( part_of(X2,X3)
              | part_of(X3,X2)
              | ~ incident_c(X0,X3)
              | ~ part_of(X3,X1)
              | ~ incident_c(X0,X2)
              | ~ part_of(X2,X1) ) )
        | ~ end_point(X0,X1) ) ),
    inference(flattening,[],[f141]) ).

fof(f141,plain,
    ! [X1,X0] :
      ( ( end_point(X0,X1)
        | ~ incident_c(X0,X1)
        | ? [X2,X3] :
            ( ~ part_of(X2,X3)
            & ~ part_of(X3,X2)
            & incident_c(X0,X3)
            & part_of(X3,X1)
            & incident_c(X0,X2)
            & part_of(X2,X1) ) )
      & ( ( incident_c(X0,X1)
          & ! [X2,X3] :
              ( part_of(X2,X3)
              | part_of(X3,X2)
              | ~ incident_c(X0,X3)
              | ~ part_of(X3,X1)
              | ~ incident_c(X0,X2)
              | ~ part_of(X2,X1) ) )
        | ~ end_point(X0,X1) ) ),
    inference(nnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X1,X0] :
      ( end_point(X0,X1)
    <=> ( incident_c(X0,X1)
        & ! [X2,X3] :
            ( part_of(X2,X3)
            | part_of(X3,X2)
            | ~ incident_c(X0,X3)
            | ~ part_of(X3,X1)
            | ~ incident_c(X0,X2)
            | ~ part_of(X2,X1) ) ) ),
    inference(flattening,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ( incident_c(X0,X1)
        & ! [X2,X3] :
            ( part_of(X3,X2)
            | part_of(X2,X3)
            | ~ part_of(X2,X1)
            | ~ incident_c(X0,X2)
            | ~ part_of(X3,X1)
            | ~ incident_c(X0,X3) ) )
    <=> end_point(X0,X1) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ( incident_c(X0,X1)
        & ! [X2,X3] :
            ( ( part_of(X2,X1)
              & incident_c(X0,X2)
              & part_of(X3,X1)
              & incident_c(X0,X3) )
           => ( part_of(X3,X2)
              | part_of(X2,X3) ) ) )
    <=> end_point(X0,X1) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X2,X0] :
      ( end_point(X2,X0)
    <=> ( ! [X1,X3] :
            ( ( part_of(X1,X0)
              & incident_c(X2,X1)
              & part_of(X3,X0)
              & incident_c(X2,X3) )
           => ( part_of(X3,X1)
              | part_of(X1,X3) ) )
        & incident_c(X2,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn) ).

fof(f230,plain,
    ! [X0] :
      ( end_point(sK22(X0),X0)
      | ~ open(X0) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ! [X0] :
      ( ( open(X0)
        | ! [X1] : ~ end_point(X1,X0) )
      & ( end_point(sK22(X0),X0)
        | ~ open(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f151,f152]) ).

fof(f152,plain,
    ! [X0] :
      ( ? [X2] : end_point(X2,X0)
     => end_point(sK22(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f151,plain,
    ! [X0] :
      ( ( open(X0)
        | ! [X1] : ~ end_point(X1,X0) )
      & ( ? [X2] : end_point(X2,X0)
        | ~ open(X0) ) ),
    inference(rectify,[],[f150]) ).

fof(f150,plain,
    ! [X0] :
      ( ( open(X0)
        | ! [X1] : ~ end_point(X1,X0) )
      & ( ? [X1] : end_point(X1,X0)
        | ~ open(X0) ) ),
    inference(nnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( open(X0)
    <=> ? [X1] : end_point(X1,X0) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( open(X0)
    <=> ? [X2] : end_point(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',open_defn) ).

fof(f635,plain,
    ( spl25_8
    | ~ spl25_1
    | ~ spl25_2 ),
    inference(avatar_split_clause,[],[f632,f255,f252,f620]) ).

fof(f620,plain,
    ( spl25_8
  <=> start_point(sK12,sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_8])]) ).

fof(f252,plain,
    ( spl25_1
  <=> ! [X2] : ~ ordered_by(sK11,X2,sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_1])]) ).

fof(f255,plain,
    ( spl25_2
  <=> incident_o(sK12,sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_2])]) ).

fof(f632,plain,
    ( start_point(sK12,sK11)
    | ~ spl25_1
    | ~ spl25_2 ),
    inference(superposition,[],[f165,f628]) ).

fof(f628,plain,
    ( sK0(sK11) = sK12
    | ~ spl25_1
    | ~ spl25_2 ),
    inference(resolution,[],[f627,f165]) ).

fof(f627,plain,
    ( ! [X6] :
        ( ~ start_point(X6,sK11)
        | sK12 = X6 )
    | ~ spl25_1
    | ~ spl25_2 ),
    inference(subsumption_resolution,[],[f607,f256]) ).

fof(f256,plain,
    ( incident_o(sK12,sK11)
    | ~ spl25_2 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f607,plain,
    ( ! [X6] :
        ( ~ incident_o(sK12,sK11)
        | ~ start_point(X6,sK11)
        | sK12 = X6 )
    | ~ spl25_1 ),
    inference(resolution,[],[f235,f253]) ).

fof(f253,plain,
    ( ! [X2] : ~ ordered_by(sK11,X2,sK12)
    | ~ spl25_1 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f235,plain,
    ! [X2,X0,X1] :
      ( ordered_by(X1,X0,X2)
      | X0 = X2
      | ~ incident_o(X2,X1)
      | ~ start_point(X0,X1) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( ( incident_o(X0,X1)
        & ! [X2] :
            ( X0 = X2
            | ~ incident_o(X2,X1)
            | ordered_by(X1,X0,X2) ) )
      | ~ start_point(X0,X1) ),
    inference(rectify,[],[f74]) ).

fof(f74,plain,
    ! [X1,X0] :
      ( ( incident_o(X1,X0)
        & ! [X2] :
            ( X1 = X2
            | ~ incident_o(X2,X0)
            | ordered_by(X0,X1,X2) ) )
      | ~ start_point(X1,X0) ),
    inference(flattening,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ( incident_o(X1,X0)
        & ! [X2] :
            ( ordered_by(X0,X1,X2)
            | X1 = X2
            | ~ incident_o(X2,X0) ) )
      | ~ start_point(X1,X0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( start_point(X1,X0)
     => ( incident_o(X1,X0)
        & ! [X2] :
            ( ( X1 != X2
              & incident_o(X2,X0) )
           => ordered_by(X0,X1,X2) ) ) ),
    inference(unused_predicate_definition_removal,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ( incident_o(X1,X0)
        & ! [X2] :
            ( ( X1 != X2
              & incident_o(X2,X0) )
           => ordered_by(X0,X1,X2) ) )
    <=> start_point(X1,X0) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X8,X2] :
      ( ( incident_o(X2,X8)
        & ! [X4] :
            ( ( incident_o(X4,X8)
              & X2 != X4 )
           => ordered_by(X8,X2,X4) ) )
    <=> start_point(X2,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',start_point_defn) ).

fof(f165,plain,
    ! [X0] : start_point(sK0(X0),X0),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0] : start_point(sK0(X0),X0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f42,f84]) ).

fof(f84,plain,
    ! [X0] :
      ( ? [X1] : start_point(X1,X0)
     => start_point(sK0(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f42,plain,
    ! [X0] :
    ? [X1] : start_point(X1,X0),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X8] :
    ? [X2] : start_point(X2,X8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',o4) ).

fof(f626,plain,
    ( ~ spl25_8
    | spl25_9
    | ~ spl25_3 ),
    inference(avatar_split_clause,[],[f608,f260,f624,f620]) ).

fof(f260,plain,
    ( spl25_3
  <=> ! [X2] : ~ ordered_by(sK11,sK12,X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_3])]) ).

fof(f608,plain,
    ( ! [X7] :
        ( sK12 = X7
        | ~ start_point(sK12,sK11)
        | ~ incident_o(X7,sK11) )
    | ~ spl25_3 ),
    inference(resolution,[],[f235,f261]) ).

fof(f261,plain,
    ( ! [X2] : ~ ordered_by(sK11,sK12,X2)
    | ~ spl25_3 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f291,plain,
    ( spl25_2
    | ~ spl25_5 ),
    inference(avatar_contradiction_clause,[],[f290]) ).

fof(f290,plain,
    ( $false
    | spl25_2
    | ~ spl25_5 ),
    inference(subsumption_resolution,[],[f289,f257]) ).

fof(f257,plain,
    ( ~ incident_o(sK12,sK11)
    | spl25_2 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f289,plain,
    ( incident_o(sK12,sK11)
    | ~ spl25_5 ),
    inference(resolution,[],[f270,f225]) ).

fof(f225,plain,
    ! [X2,X0,X1] :
      ( ~ ordered_by(X2,X0,X1)
      | incident_o(X0,X2) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ! [X0,X1,X2] :
      ( ( incident_o(X1,X2)
        & incident_o(X0,X2) )
      | ~ ordered_by(X2,X0,X1) ),
    inference(rectify,[],[f81]) ).

fof(f81,plain,
    ! [X0,X2,X1] :
      ( ( incident_o(X2,X1)
        & incident_o(X0,X1) )
      | ~ ordered_by(X1,X0,X2) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X1,X2,X0] :
      ( ordered_by(X1,X0,X2)
     => ( incident_o(X2,X1)
        & incident_o(X0,X1) ) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X2,X8,X4] :
      ( ordered_by(X8,X2,X4)
     => ( incident_o(X2,X8)
        & incident_o(X4,X8) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',o1) ).

fof(f270,plain,
    ( ordered_by(sK11,sK12,sK13)
    | ~ spl25_5 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f268,plain,
    ( spl25_5
  <=> ordered_by(sK11,sK12,sK13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_5])]) ).

fof(f287,plain,
    ( spl25_2
    | ~ spl25_4 ),
    inference(avatar_contradiction_clause,[],[f286]) ).

fof(f286,plain,
    ( $false
    | spl25_2
    | ~ spl25_4 ),
    inference(subsumption_resolution,[],[f285,f257]) ).

fof(f285,plain,
    ( incident_o(sK12,sK11)
    | ~ spl25_4 ),
    inference(resolution,[],[f226,f266]) ).

fof(f266,plain,
    ( ordered_by(sK11,sK13,sK12)
    | ~ spl25_4 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f264,plain,
    ( spl25_4
  <=> ordered_by(sK11,sK13,sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_4])]) ).

fof(f226,plain,
    ! [X2,X0,X1] :
      ( ~ ordered_by(X2,X0,X1)
      | incident_o(X1,X2) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f271,plain,
    ( spl25_2
    | spl25_4
    | spl25_5 ),
    inference(avatar_split_clause,[],[f195,f268,f264,f255]) ).

fof(f195,plain,
    ( ordered_by(sK11,sK12,sK13)
    | ordered_by(sK11,sK13,sK12)
    | incident_o(sK12,sK11) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ( ( ! [X2] :
          ( ~ ordered_by(sK11,X2,sK12)
          & ~ ordered_by(sK11,sK12,X2) )
      | ~ incident_o(sK12,sK11) )
    & ( ordered_by(sK11,sK13,sK12)
      | ordered_by(sK11,sK12,sK13)
      | incident_o(sK12,sK11) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f117,f119,f118]) ).

fof(f118,plain,
    ( ? [X0,X1] :
        ( ( ! [X2] :
              ( ~ ordered_by(X0,X2,X1)
              & ~ ordered_by(X0,X1,X2) )
          | ~ incident_o(X1,X0) )
        & ( ? [X3] :
              ( ordered_by(X0,X3,X1)
              | ordered_by(X0,X1,X3) )
          | incident_o(X1,X0) ) )
   => ( ( ! [X2] :
            ( ~ ordered_by(sK11,X2,sK12)
            & ~ ordered_by(sK11,sK12,X2) )
        | ~ incident_o(sK12,sK11) )
      & ( ? [X3] :
            ( ordered_by(sK11,X3,sK12)
            | ordered_by(sK11,sK12,X3) )
        | incident_o(sK12,sK11) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f119,plain,
    ( ? [X3] :
        ( ordered_by(sK11,X3,sK12)
        | ordered_by(sK11,sK12,X3) )
   => ( ordered_by(sK11,sK13,sK12)
      | ordered_by(sK11,sK12,sK13) ) ),
    introduced(choice_axiom,[]) ).

fof(f117,plain,
    ? [X0,X1] :
      ( ( ! [X2] :
            ( ~ ordered_by(X0,X2,X1)
            & ~ ordered_by(X0,X1,X2) )
        | ~ incident_o(X1,X0) )
      & ( ? [X3] :
            ( ordered_by(X0,X3,X1)
            | ordered_by(X0,X1,X3) )
        | incident_o(X1,X0) ) ),
    inference(rectify,[],[f116]) ).

fof(f116,plain,
    ? [X1,X0] :
      ( ( ! [X2] :
            ( ~ ordered_by(X1,X2,X0)
            & ~ ordered_by(X1,X0,X2) )
        | ~ incident_o(X0,X1) )
      & ( ? [X2] :
            ( ordered_by(X1,X2,X0)
            | ordered_by(X1,X0,X2) )
        | incident_o(X0,X1) ) ),
    inference(nnf_transformation,[],[f75]) ).

fof(f75,plain,
    ? [X1,X0] :
      ( incident_o(X0,X1)
    <~> ? [X2] :
          ( ordered_by(X1,X2,X0)
          | ordered_by(X1,X0,X2) ) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,plain,
    ~ ! [X1,X0] :
        ( ? [X2] :
            ( ordered_by(X1,X2,X0)
            | ordered_by(X1,X0,X2) )
      <=> incident_o(X0,X1) ),
    inference(rectify,[],[f29]) ).

fof(f29,negated_conjecture,
    ~ ! [X2,X8] :
        ( incident_o(X2,X8)
      <=> ? [X4] :
            ( ordered_by(X8,X4,X2)
            | ordered_by(X8,X2,X4) ) ),
    inference(negated_conjecture,[],[f28]) ).

fof(f28,conjecture,
    ! [X2,X8] :
      ( incident_o(X2,X8)
    <=> ? [X4] :
          ( ordered_by(X8,X4,X2)
          | ordered_by(X8,X2,X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_12) ).

fof(f262,plain,
    ( ~ spl25_2
    | spl25_3 ),
    inference(avatar_split_clause,[],[f196,f260,f255]) ).

fof(f196,plain,
    ! [X2] :
      ( ~ ordered_by(sK11,sK12,X2)
      | ~ incident_o(sK12,sK11) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f258,plain,
    ( spl25_1
    | ~ spl25_2 ),
    inference(avatar_split_clause,[],[f197,f255,f252]) ).

fof(f197,plain,
    ! [X2] :
      ( ~ incident_o(sK12,sK11)
      | ~ ordered_by(sK11,X2,sK12) ),
    inference(cnf_transformation,[],[f120]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : GEO127+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n017.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 20:41:19 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.49  % (450)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  % (450)Refutation not found, incomplete strategy% (450)------------------------------
% 0.19/0.49  % (450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (451)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)
% 0.19/0.49  % (454)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)
% 0.19/0.49  % (451)Refutation not found, incomplete strategy% (451)------------------------------
% 0.19/0.49  % (451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (451)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.49  
% 0.19/0.49  % (451)Memory used [KB]: 6012
% 0.19/0.49  % (451)Time elapsed: 0.111 s
% 0.19/0.49  % (451)Instructions burned: 3 (million)
% 0.19/0.49  % (451)------------------------------
% 0.19/0.49  % (451)------------------------------
% 0.19/0.49  % (450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (450)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.49  
% 0.19/0.49  % (450)Memory used [KB]: 1407
% 0.19/0.49  % (450)Time elapsed: 0.103 s
% 0.19/0.49  % (450)Instructions burned: 2 (million)
% 0.19/0.49  % (450)------------------------------
% 0.19/0.49  % (450)------------------------------
% 0.19/0.50  % (458)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)
% 0.19/0.50  % (461)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)
% 0.19/0.50  % (447)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  % (465)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)
% 0.19/0.50  % (448)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)
% 0.19/0.50  % (466)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)
% 0.19/0.50  % (453)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)
% 0.19/0.50  % (457)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)
% 0.19/0.50  % (448)Refutation not found, incomplete strategy% (448)------------------------------
% 0.19/0.50  % (448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (448)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (448)Memory used [KB]: 6012
% 0.19/0.50  % (448)Time elapsed: 0.111 s
% 0.19/0.50  % (448)Instructions burned: 4 (million)
% 0.19/0.50  % (448)------------------------------
% 0.19/0.50  % (448)------------------------------
% 0.19/0.50  % (480)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  % (452)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)
% 0.19/0.50  % (452)Refutation not found, incomplete strategy% (452)------------------------------
% 0.19/0.50  % (452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (452)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (452)Memory used [KB]: 5884
% 0.19/0.50  % (452)Time elapsed: 0.084 s
% 0.19/0.50  % (452)Instructions burned: 2 (million)
% 0.19/0.50  % (452)------------------------------
% 0.19/0.50  % (452)------------------------------
% 0.19/0.51  % (472)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)
% 0.19/0.51  % (460)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  % (464)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)
% 0.19/0.51  % (465)Refutation not found, incomplete strategy% (465)------------------------------
% 0.19/0.51  % (465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (464)Refutation not found, incomplete strategy% (464)------------------------------
% 0.19/0.51  % (464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (465)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (465)Memory used [KB]: 6012
% 0.19/0.51  % (465)Time elapsed: 0.127 s
% 0.19/0.51  % (465)Instructions burned: 4 (million)
% 0.19/0.51  % (465)------------------------------
% 0.19/0.51  % (465)------------------------------
% 0.19/0.51  % (460)Instruction limit reached!
% 0.19/0.51  % (460)------------------------------
% 0.19/0.51  % (460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (460)Termination reason: Unknown
% 0.19/0.51  % (460)Termination phase: Clausification
% 0.19/0.51  
% 0.19/0.51  % (460)Memory used [KB]: 1535
% 0.19/0.51  % (460)Time elapsed: 0.004 s
% 0.19/0.51  % (460)Instructions burned: 3 (million)
% 0.19/0.51  % (460)------------------------------
% 0.19/0.51  % (460)------------------------------
% 0.19/0.51  % (464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (464)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (464)Memory used [KB]: 5884
% 0.19/0.51  % (464)Time elapsed: 0.120 s
% 0.19/0.51  % (464)Instructions burned: 1 (million)
% 0.19/0.51  % (464)------------------------------
% 0.19/0.51  % (464)------------------------------
% 0.19/0.51  % (449)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)
% 0.19/0.51  % (449)Refutation not found, incomplete strategy% (449)------------------------------
% 0.19/0.51  % (449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (449)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (449)Memory used [KB]: 6012
% 0.19/0.51  % (449)Time elapsed: 0.096 s
% 0.19/0.51  % (449)Instructions burned: 3 (million)
% 0.19/0.51  % (449)------------------------------
% 0.19/0.51  % (449)------------------------------
% 0.19/0.51  % (469)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)
% 0.19/0.51  % (446)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  % (445)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  % (463)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52  % (446)Refutation not found, incomplete strategy% (446)------------------------------
% 0.19/0.52  % (446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (446)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (446)Memory used [KB]: 6012
% 0.19/0.52  % (446)Time elapsed: 0.124 s
% 0.19/0.52  % (446)Instructions burned: 3 (million)
% 0.19/0.52  % (446)------------------------------
% 0.19/0.52  % (446)------------------------------
% 0.19/0.52  % (456)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)
% 0.19/0.52  % (454)Refutation not found, incomplete strategy% (454)------------------------------
% 0.19/0.52  % (454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (454)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (454)Memory used [KB]: 6012
% 0.19/0.52  % (454)Time elapsed: 0.124 s
% 0.19/0.52  % (454)Instructions burned: 3 (million)
% 0.19/0.52  % (454)------------------------------
% 0.19/0.52  % (454)------------------------------
% 0.19/0.52  % (456)Refutation not found, incomplete strategy% (456)------------------------------
% 0.19/0.52  % (456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (456)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (456)Memory used [KB]: 5884
% 0.19/0.52  % (456)Time elapsed: 0.127 s
% 0.19/0.52  % (456)Instructions burned: 2 (million)
% 0.19/0.52  % (456)------------------------------
% 0.19/0.52  % (456)------------------------------
% 0.19/0.52  % (489)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)
% 0.19/0.52  % (461)Instruction limit reached!
% 0.19/0.52  % (461)------------------------------
% 0.19/0.52  % (461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (461)Termination reason: Unknown
% 0.19/0.52  % (461)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (461)Memory used [KB]: 6140
% 0.19/0.52  % (461)Time elapsed: 0.090 s
% 0.19/0.52  % (461)Instructions burned: 7 (million)
% 0.19/0.52  % (461)------------------------------
% 0.19/0.52  % (461)------------------------------
% 0.19/0.52  % (462)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)
% 0.19/0.52  % (487)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)
% 0.19/0.52  % (447)Instruction limit reached!
% 0.19/0.52  % (447)------------------------------
% 0.19/0.52  % (447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (447)Termination reason: Unknown
% 0.19/0.52  % (447)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (447)Memory used [KB]: 1535
% 0.19/0.52  % (447)Time elapsed: 0.004 s
% 0.19/0.52  % (447)Instructions burned: 5 (million)
% 0.19/0.52  % (447)------------------------------
% 0.19/0.52  % (447)------------------------------
% 0.19/0.52  % (463)Instruction limit reached!
% 0.19/0.52  % (463)------------------------------
% 0.19/0.52  % (463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (471)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)
% 0.19/0.53  % (467)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)
% 0.19/0.53  % (470)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)
% 0.19/0.53  % (471)Refutation not found, incomplete strategy% (471)------------------------------
% 0.19/0.53  % (471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (455)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)
% 0.19/0.53  % (467)Refutation not found, incomplete strategy% (467)------------------------------
% 0.19/0.53  % (467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (455)Refutation not found, incomplete strategy% (455)------------------------------
% 0.19/0.53  % (455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (455)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (455)Memory used [KB]: 5884
% 0.19/0.53  % (455)Time elapsed: 0.148 s
% 0.19/0.53  % (455)Instructions burned: 1 (million)
% 0.19/0.53  % (455)------------------------------
% 0.19/0.53  % (455)------------------------------
% 0.19/0.53  % (468)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)
% 0.19/0.54  % (463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (463)Termination reason: Unknown
% 0.19/0.54  % (463)Termination phase: Finite model building preprocessing
% 0.19/0.54  
% 0.19/0.54  % (463)Memory used [KB]: 1535
% 0.19/0.54  % (463)Time elapsed: 0.004 s
% 0.19/0.54  % (463)Instructions burned: 5 (million)
% 0.19/0.54  % (463)------------------------------
% 0.19/0.54  % (463)------------------------------
% 0.19/0.54  % (457)Instruction limit reached!
% 0.19/0.54  % (457)------------------------------
% 0.19/0.54  % (457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (457)Termination reason: Unknown
% 0.19/0.54  % (457)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (457)Memory used [KB]: 1791
% 0.19/0.54  % (457)Time elapsed: 0.135 s
% 0.19/0.54  % (457)Instructions burned: 16 (million)
% 0.19/0.54  % (457)------------------------------
% 0.19/0.54  % (457)------------------------------
% 0.19/0.54  % (480)Instruction limit reached!
% 0.19/0.54  % (480)------------------------------
% 0.19/0.54  % (480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (467)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  % (480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  
% 0.19/0.54  % (480)Termination reason: Unknown
% 0.19/0.54  % (480)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (467)Memory used [KB]: 6012
% 0.19/0.54  % (467)Time elapsed: 0.150 s
% 0.19/0.54  % (480)Memory used [KB]: 6524
% 0.19/0.54  % (467)Instructions burned: 3 (million)
% 0.19/0.54  % (480)Time elapsed: 0.140 s
% 0.19/0.54  % (480)Instructions burned: 27 (million)
% 0.19/0.54  % (467)------------------------------
% 0.19/0.54  % (467)------------------------------
% 0.19/0.54  % (480)------------------------------
% 0.19/0.54  % (480)------------------------------
% 0.19/0.54  % (462)Refutation not found, incomplete strategy% (462)------------------------------
% 0.19/0.54  % (462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (462)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (462)Memory used [KB]: 6268
% 0.19/0.54  % (462)Time elapsed: 0.157 s
% 0.19/0.54  % (462)Instructions burned: 7 (million)
% 0.19/0.54  % (462)------------------------------
% 0.19/0.54  % (462)------------------------------
% 0.19/0.54  % (445)First to succeed.
% 1.56/0.55  % (471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55  % (471)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.55  
% 1.56/0.55  % (471)Memory used [KB]: 6012
% 1.56/0.55  % (471)Time elapsed: 0.139 s
% 1.56/0.55  % (471)Instructions burned: 2 (million)
% 1.56/0.55  % (471)------------------------------
% 1.56/0.55  % (471)------------------------------
% 1.56/0.55  % (487)Instruction limit reached!
% 1.56/0.55  % (487)------------------------------
% 1.56/0.55  % (487)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55  % (487)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55  % (487)Termination reason: Unknown
% 1.56/0.55  % (487)Termination phase: Saturation
% 1.56/0.55  
% 1.56/0.55  % (487)Memory used [KB]: 6140
% 1.56/0.55  % (487)Time elapsed: 0.158 s
% 1.56/0.55  % (487)Instructions burned: 9 (million)
% 1.56/0.55  % (487)------------------------------
% 1.56/0.55  % (487)------------------------------
% 1.56/0.55  % (466)Instruction limit reached!
% 1.56/0.55  % (466)------------------------------
% 1.56/0.55  % (466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55  % (466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55  % (466)Termination reason: Unknown
% 1.56/0.55  % (466)Termination phase: Saturation
% 1.56/0.55  
% 1.56/0.55  % (466)Memory used [KB]: 6396
% 1.56/0.55  % (466)Time elapsed: 0.155 s
% 1.56/0.55  % (466)Instructions burned: 31 (million)
% 1.56/0.55  % (466)------------------------------
% 1.56/0.55  % (466)------------------------------
% 1.74/0.56  % (445)Refutation found. Thanks to Tanya!
% 1.74/0.56  % SZS status Theorem for theBenchmark
% 1.74/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.74/0.56  % (445)------------------------------
% 1.74/0.56  % (445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.56  % (445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.56  % (445)Termination reason: Refutation
% 1.74/0.56  
% 1.74/0.56  % (445)Memory used [KB]: 6396
% 1.74/0.56  % (445)Time elapsed: 0.162 s
% 1.74/0.56  % (445)Instructions burned: 22 (million)
% 1.74/0.56  % (445)------------------------------
% 1.74/0.56  % (445)------------------------------
% 1.74/0.56  % (439)Success in time 0.215 s
%------------------------------------------------------------------------------