TSTP Solution File: SET682+3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET682+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n029.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 18:25:20 EDT 2022

% Result   : Theorem 0.19s 0.58s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  135 (  20 unt;   3 typ;   0 def)
%            Number of atoms       :  543 (  14 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  689 ( 278   ~; 244   |; 103   &)
%                                         (  12 <=>;  52  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;   6 con; 0-3 aty)
%            Number of variables   :  291 ( 255   !;  36   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_6,type,
    sQ15_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_7,type,
    sQ16_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_8,type,
    sQ17_eqProxy: ( $real * $real ) > $o ).

fof(f645,plain,
    $false,
    inference(subsumption_resolution,[],[f643,f622]) ).

fof(f622,plain,
    ~ ilf_type(sK5(sK2),member_type(sK1)),
    inference(resolution,[],[f584,f359]) ).

fof(f359,plain,
    ! [X4] :
      ( ~ member(X4,range_of(sK2))
      | ~ ilf_type(X4,member_type(sK1)) ),
    inference(backward_demodulation,[],[f167,f328]) ).

fof(f328,plain,
    range(sK0,sK1,sK2) = range_of(sK2),
    inference(resolution,[],[f326,f162]) ).

fof(f162,plain,
    ilf_type(sK2,relation_type(sK0,sK1)),
    inference(literal_reordering,[],[f97]) ).

fof(f97,plain,
    ilf_type(sK2,relation_type(sK0,sK1)),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ( ilf_type(sK0,set_type)
    & ~ empty(sK1)
    & ilf_type(sK2,relation_type(sK0,sK1))
    & ! [X4] :
        ( ~ member(X4,range(sK0,sK1,sK2))
        | ~ ilf_type(X4,member_type(sK1)) )
    & ilf_type(sK3,member_type(sK0))
    & member(sK3,domain(sK0,sK1,sK2))
    & ilf_type(sK1,set_type)
    & ~ empty(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f33,f61,f60,f59,f58]) ).

fof(f58,plain,
    ( ? [X0] :
        ( ilf_type(X0,set_type)
        & ? [X1] :
            ( ~ empty(X1)
            & ? [X2] :
                ( ilf_type(X2,relation_type(X0,X1))
                & ? [X3] :
                    ( ! [X4] :
                        ( ~ member(X4,range(X0,X1,X2))
                        | ~ ilf_type(X4,member_type(X1)) )
                    & ilf_type(X3,member_type(X0))
                    & member(X3,domain(X0,X1,X2)) ) )
            & ilf_type(X1,set_type) )
        & ~ empty(X0) )
   => ( ilf_type(sK0,set_type)
      & ? [X1] :
          ( ~ empty(X1)
          & ? [X2] :
              ( ilf_type(X2,relation_type(sK0,X1))
              & ? [X3] :
                  ( ! [X4] :
                      ( ~ member(X4,range(sK0,X1,X2))
                      | ~ ilf_type(X4,member_type(X1)) )
                  & ilf_type(X3,member_type(sK0))
                  & member(X3,domain(sK0,X1,X2)) ) )
          & ilf_type(X1,set_type) )
      & ~ empty(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f59,plain,
    ( ? [X1] :
        ( ~ empty(X1)
        & ? [X2] :
            ( ilf_type(X2,relation_type(sK0,X1))
            & ? [X3] :
                ( ! [X4] :
                    ( ~ member(X4,range(sK0,X1,X2))
                    | ~ ilf_type(X4,member_type(X1)) )
                & ilf_type(X3,member_type(sK0))
                & member(X3,domain(sK0,X1,X2)) ) )
        & ilf_type(X1,set_type) )
   => ( ~ empty(sK1)
      & ? [X2] :
          ( ilf_type(X2,relation_type(sK0,sK1))
          & ? [X3] :
              ( ! [X4] :
                  ( ~ member(X4,range(sK0,sK1,X2))
                  | ~ ilf_type(X4,member_type(sK1)) )
              & ilf_type(X3,member_type(sK0))
              & member(X3,domain(sK0,sK1,X2)) ) )
      & ilf_type(sK1,set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f60,plain,
    ( ? [X2] :
        ( ilf_type(X2,relation_type(sK0,sK1))
        & ? [X3] :
            ( ! [X4] :
                ( ~ member(X4,range(sK0,sK1,X2))
                | ~ ilf_type(X4,member_type(sK1)) )
            & ilf_type(X3,member_type(sK0))
            & member(X3,domain(sK0,sK1,X2)) ) )
   => ( ilf_type(sK2,relation_type(sK0,sK1))
      & ? [X3] :
          ( ! [X4] :
              ( ~ member(X4,range(sK0,sK1,sK2))
              | ~ ilf_type(X4,member_type(sK1)) )
          & ilf_type(X3,member_type(sK0))
          & member(X3,domain(sK0,sK1,sK2)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f61,plain,
    ( ? [X3] :
        ( ! [X4] :
            ( ~ member(X4,range(sK0,sK1,sK2))
            | ~ ilf_type(X4,member_type(sK1)) )
        & ilf_type(X3,member_type(sK0))
        & member(X3,domain(sK0,sK1,sK2)) )
   => ( ! [X4] :
          ( ~ member(X4,range(sK0,sK1,sK2))
          | ~ ilf_type(X4,member_type(sK1)) )
      & ilf_type(sK3,member_type(sK0))
      & member(sK3,domain(sK0,sK1,sK2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f33,plain,
    ? [X0] :
      ( ilf_type(X0,set_type)
      & ? [X1] :
          ( ~ empty(X1)
          & ? [X2] :
              ( ilf_type(X2,relation_type(X0,X1))
              & ? [X3] :
                  ( ! [X4] :
                      ( ~ member(X4,range(X0,X1,X2))
                      | ~ ilf_type(X4,member_type(X1)) )
                  & ilf_type(X3,member_type(X0))
                  & member(X3,domain(X0,X1,X2)) ) )
          & ilf_type(X1,set_type) )
      & ~ empty(X0) ),
    inference(flattening,[],[f32]) ).

fof(f32,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ! [X4] :
                      ( ~ member(X4,range(X0,X1,X2))
                      | ~ ilf_type(X4,member_type(X1)) )
                  & member(X3,domain(X0,X1,X2))
                  & ilf_type(X3,member_type(X0)) )
              & ilf_type(X2,relation_type(X0,X1)) )
          & ~ empty(X1)
          & ilf_type(X1,set_type) )
      & ~ empty(X0)
      & ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ empty(X0)
          & ilf_type(X0,set_type) )
       => ! [X1] :
            ( ( ~ empty(X1)
              & ilf_type(X1,set_type) )
           => ! [X2] :
                ( ilf_type(X2,relation_type(X0,X1))
               => ! [X3] :
                    ( ilf_type(X3,member_type(X0))
                   => ( member(X3,domain(X0,X1,X2))
                     => ? [X4] :
                          ( ilf_type(X4,member_type(X1))
                          & member(X4,range(X0,X1,X2)) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f25]) ).

fof(f25,conjecture,
    ! [X0] :
      ( ( ~ empty(X0)
        & ilf_type(X0,set_type) )
     => ! [X1] :
          ( ( ~ empty(X1)
            & ilf_type(X1,set_type) )
         => ! [X2] :
              ( ilf_type(X2,relation_type(X0,X1))
             => ! [X3] :
                  ( ilf_type(X3,member_type(X0))
                 => ( member(X3,domain(X0,X1,X2))
                   => ? [X4] :
                        ( ilf_type(X4,member_type(X1))
                        & member(X4,range(X0,X1,X2)) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_49) ).

fof(f326,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,relation_type(X0,X1))
      | range(X0,X1,X2) = range_of(X2) ),
    inference(subsumption_resolution,[],[f325,f163]) ).

fof(f163,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(literal_reordering,[],[f106]) ).

fof(f106,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0] : ilf_type(X0,set_type),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24) ).

fof(f325,plain,
    ! [X2,X0,X1] :
      ( range(X0,X1,X2) = range_of(X2)
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f174,f163]) ).

fof(f174,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | range(X0,X1,X2) = range_of(X2)
      | ~ ilf_type(X2,relation_type(X0,X1)) ),
    inference(literal_reordering,[],[f114]) ).

fof(f114,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X0,set_type)
      | range(X0,X1,X2) = range_of(X2) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( range(X0,X1,X2) = range_of(X2)
              | ~ ilf_type(X2,relation_type(X0,X1)) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,relation_type(X0,X1))
             => range(X0,X1,X2) = range_of(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).

fof(f167,plain,
    ! [X4] :
      ( ~ member(X4,range(sK0,sK1,sK2))
      | ~ ilf_type(X4,member_type(sK1)) ),
    inference(literal_reordering,[],[f96]) ).

fof(f96,plain,
    ! [X4] :
      ( ~ member(X4,range(sK0,sK1,sK2))
      | ~ ilf_type(X4,member_type(sK1)) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f584,plain,
    member(sK5(sK2),range_of(sK2)),
    inference(resolution,[],[f574,f337]) ).

fof(f337,plain,
    member(sK3,domain_of(sK2)),
    inference(backward_demodulation,[],[f185,f321]) ).

fof(f321,plain,
    domain_of(sK2) = domain(sK0,sK1,sK2),
    inference(resolution,[],[f315,f162]) ).

fof(f315,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,relation_type(X0,X1))
      | domain(X0,X1,X2) = domain_of(X2) ),
    inference(subsumption_resolution,[],[f314,f163]) ).

fof(f314,plain,
    ! [X2,X0,X1] :
      ( domain(X0,X1,X2) = domain_of(X2)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,relation_type(X0,X1)) ),
    inference(subsumption_resolution,[],[f173,f163]) ).

fof(f173,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,relation_type(X0,X1))
      | domain(X0,X1,X2) = domain_of(X2)
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type) ),
    inference(literal_reordering,[],[f120]) ).

fof(f120,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | domain(X0,X1,X2) = domain_of(X2)
      | ~ ilf_type(X2,relation_type(X0,X1)) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( domain(X0,X1,X2) = domain_of(X2)
              | ~ ilf_type(X2,relation_type(X0,X1)) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,relation_type(X0,X1))
             => domain(X0,X1,X2) = domain_of(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20) ).

fof(f185,plain,
    member(sK3,domain(sK0,sK1,sK2)),
    inference(literal_reordering,[],[f94]) ).

fof(f94,plain,
    member(sK3,domain(sK0,sK1,sK2)),
    inference(cnf_transformation,[],[f62]) ).

fof(f574,plain,
    ! [X1] :
      ( ~ member(X1,domain_of(sK2))
      | member(sK5(sK2),range_of(sK2)) ),
    inference(resolution,[],[f570,f296]) ).

fof(f296,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X1,binary_relation_type)
      | member(sK5(X1),range_of(X1))
      | ~ member(X0,domain_of(X1)) ),
    inference(subsumption_resolution,[],[f187,f163]) ).

fof(f187,plain,
    ! [X0,X1] :
      ( ~ member(X0,domain_of(X1))
      | ~ ilf_type(X1,binary_relation_type)
      | member(sK5(X1),range_of(X1))
      | ~ ilf_type(X0,set_type) ),
    inference(literal_reordering,[],[f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X1,binary_relation_type)
      | ~ ilf_type(X0,set_type)
      | member(sK5(X1),range_of(X1))
      | ~ member(X0,domain_of(X1)) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ~ ilf_type(X1,binary_relation_type)
          | ( ilf_type(sK5(X1),set_type)
            & member(sK5(X1),range_of(X1)) )
          | ~ member(X0,domain_of(X1)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f35,f65]) ).

fof(f65,plain,
    ! [X1] :
      ( ? [X2] :
          ( ilf_type(X2,set_type)
          & member(X2,range_of(X1)) )
     => ( ilf_type(sK5(X1),set_type)
        & member(sK5(X1),range_of(X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f35,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ~ ilf_type(X1,binary_relation_type)
          | ? [X2] :
              ( ilf_type(X2,set_type)
              & member(X2,range_of(X1)) )
          | ~ member(X0,domain_of(X1)) ) ),
    inference(flattening,[],[f34]) ).

fof(f34,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( ilf_type(X2,set_type)
              & member(X2,range_of(X1)) )
          | ~ member(X0,domain_of(X1))
          | ~ ilf_type(X1,binary_relation_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,binary_relation_type)
         => ( member(X0,domain_of(X1))
           => ? [X2] :
                ( ilf_type(X2,set_type)
                & member(X2,range_of(X1)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).

fof(f570,plain,
    ilf_type(sK2,binary_relation_type),
    inference(resolution,[],[f413,f162]) ).

fof(f413,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X0,relation_type(X1,X2))
      | ilf_type(X0,binary_relation_type) ),
    inference(resolution,[],[f266,f305]) ).

fof(f305,plain,
    ! [X3,X0,X1] :
      ( ilf_type(X3,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X3,relation_type(X0,X1)) ),
    inference(subsumption_resolution,[],[f304,f163]) ).

fof(f304,plain,
    ! [X3,X0,X1] :
      ( ilf_type(X3,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X3,relation_type(X0,X1))
      | ~ ilf_type(X1,set_type) ),
    inference(subsumption_resolution,[],[f145,f163]) ).

fof(f145,plain,
    ! [X3,X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X3,relation_type(X0,X1))
      | ~ ilf_type(X1,set_type)
      | ilf_type(X3,subset_type(cross_product(X0,X1))) ),
    inference(literal_reordering,[],[f112]) ).

fof(f112,plain,
    ! [X3,X0,X1] :
      ( ~ ilf_type(X3,relation_type(X0,X1))
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ilf_type(X3,subset_type(cross_product(X0,X1))) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ( ! [X2] :
                ( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
                | ilf_type(X2,relation_type(X0,X1)) )
            & ! [X3] :
                ( ~ ilf_type(X3,relation_type(X0,X1))
                | ilf_type(X3,subset_type(cross_product(X0,X1))) ) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(rectify,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ( ! [X3] :
                ( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
                | ilf_type(X3,relation_type(X0,X1)) )
            & ! [X2] :
                ( ~ ilf_type(X2,relation_type(X0,X1))
                | ilf_type(X2,subset_type(cross_product(X0,X1))) ) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ! [X3] :
                ( ilf_type(X3,subset_type(cross_product(X0,X1)))
               => ilf_type(X3,relation_type(X0,X1)) )
            & ! [X2] :
                ( ilf_type(X2,relation_type(X0,X1))
               => ilf_type(X2,subset_type(cross_product(X0,X1))) ) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ! [X3] :
                ( ilf_type(X3,relation_type(X0,X1))
               => ilf_type(X3,subset_type(cross_product(X0,X1))) )
            & ! [X2] :
                ( ilf_type(X2,subset_type(cross_product(X0,X1)))
               => ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).

fof(f266,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
      | ilf_type(X0,binary_relation_type) ),
    inference(resolution,[],[f265,f242]) ).

fof(f242,plain,
    ! [X0] :
      ( ~ relation_like(X0)
      | ilf_type(X0,binary_relation_type) ),
    inference(subsumption_resolution,[],[f237,f163]) ).

fof(f237,plain,
    ! [X0] :
      ( ilf_type(X0,binary_relation_type)
      | ~ ilf_type(X0,set_type)
      | ~ relation_like(X0) ),
    inference(duplicate_literal_removal,[],[f151]) ).

fof(f151,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X0,set_type)
      | ilf_type(X0,binary_relation_type)
      | ~ relation_like(X0) ),
    inference(literal_reordering,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X0,set_type)
      | ilf_type(X0,binary_relation_type)
      | ~ relation_like(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ( ( ( ilf_type(X0,set_type)
            & relation_like(X0) )
          | ~ ilf_type(X0,binary_relation_type) )
        & ( ilf_type(X0,binary_relation_type)
          | ~ ilf_type(X0,set_type)
          | ~ relation_like(X0) ) ) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ( ( ( ilf_type(X0,set_type)
            & relation_like(X0) )
          | ~ ilf_type(X0,binary_relation_type) )
        & ( ilf_type(X0,binary_relation_type)
          | ~ ilf_type(X0,set_type)
          | ~ relation_like(X0) ) ) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ( ( ilf_type(X0,set_type)
          & relation_like(X0) )
      <=> ilf_type(X0,binary_relation_type) ) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( ( ilf_type(X0,set_type)
          & relation_like(X0) )
      <=> ilf_type(X0,binary_relation_type) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10) ).

fof(f265,plain,
    ! [X2,X0,X1] :
      ( relation_like(X2)
      | ~ ilf_type(X2,subset_type(cross_product(X0,X1))) ),
    inference(subsumption_resolution,[],[f264,f163]) ).

fof(f264,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | relation_like(X2)
      | ~ ilf_type(X2,subset_type(cross_product(X0,X1))) ),
    inference(subsumption_resolution,[],[f142,f163]) ).

fof(f142,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
      | relation_like(X2)
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type) ),
    inference(literal_reordering,[],[f119]) ).

fof(f119,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
      | relation_like(X2)
      | ~ ilf_type(X1,set_type) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ! [X2] :
              ( relation_like(X2)
              | ~ ilf_type(X2,subset_type(cross_product(X0,X1))) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,subset_type(cross_product(X0,X1)))
             => relation_like(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18) ).

fof(f643,plain,
    ilf_type(sK5(sK2),member_type(sK1)),
    inference(resolution,[],[f621,f281]) ).

fof(f281,plain,
    ! [X0,X1] :
      ( ~ member(X0,X1)
      | ilf_type(X0,member_type(X1)) ),
    inference(subsumption_resolution,[],[f280,f259]) ).

fof(f259,plain,
    ! [X2,X0] :
      ( ~ empty(X0)
      | ~ member(X2,X0) ),
    inference(subsumption_resolution,[],[f258,f163]) ).

fof(f258,plain,
    ! [X2,X0] :
      ( ~ ilf_type(X0,set_type)
      | ~ member(X2,X0)
      | ~ empty(X0) ),
    inference(subsumption_resolution,[],[f159,f163]) ).

fof(f159,plain,
    ! [X2,X0] :
      ( ~ empty(X0)
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X0,set_type)
      | ~ member(X2,X0) ),
    inference(literal_reordering,[],[f115]) ).

fof(f115,plain,
    ! [X2,X0] :
      ( ~ member(X2,X0)
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X2,set_type)
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( ( ( empty(X0)
          | ( ilf_type(sK6(X0),set_type)
            & member(sK6(X0),X0) ) )
        & ( ! [X2] :
              ( ~ ilf_type(X2,set_type)
              | ~ member(X2,X0) )
          | ~ empty(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f70,f71]) ).

fof(f71,plain,
    ! [X0] :
      ( ? [X1] :
          ( ilf_type(X1,set_type)
          & member(X1,X0) )
     => ( ilf_type(sK6(X0),set_type)
        & member(sK6(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f70,plain,
    ! [X0] :
      ( ( ( empty(X0)
          | ? [X1] :
              ( ilf_type(X1,set_type)
              & member(X1,X0) ) )
        & ( ! [X2] :
              ( ~ ilf_type(X2,set_type)
              | ~ member(X2,X0) )
          | ~ empty(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(rectify,[],[f69]) ).

fof(f69,plain,
    ! [X0] :
      ( ( ( empty(X0)
          | ? [X1] :
              ( ilf_type(X1,set_type)
              & member(X1,X0) ) )
        & ( ! [X1] :
              ( ~ ilf_type(X1,set_type)
              | ~ member(X1,X0) )
          | ~ empty(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ( empty(X0)
      <=> ! [X1] :
            ( ~ ilf_type(X1,set_type)
            | ~ member(X1,X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( ! [X1] :
            ( ilf_type(X1,set_type)
           => ~ member(X1,X0) )
      <=> empty(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6) ).

fof(f280,plain,
    ! [X0,X1] :
      ( ~ member(X0,X1)
      | ilf_type(X0,member_type(X1))
      | empty(X1) ),
    inference(subsumption_resolution,[],[f279,f163]) ).

fof(f279,plain,
    ! [X0,X1] :
      ( empty(X1)
      | ilf_type(X0,member_type(X1))
      | ~ ilf_type(X0,set_type)
      | ~ member(X0,X1) ),
    inference(subsumption_resolution,[],[f168,f163]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | empty(X1)
      | ilf_type(X0,member_type(X1))
      | ~ ilf_type(X0,set_type)
      | ~ member(X0,X1) ),
    inference(literal_reordering,[],[f111]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ~ member(X0,X1)
      | empty(X1)
      | ~ ilf_type(X0,set_type)
      | ilf_type(X0,member_type(X1))
      | ~ ilf_type(X1,set_type) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0] :
      ( ! [X1] :
          ( empty(X1)
          | ~ ilf_type(X1,set_type)
          | ( ( ilf_type(X0,member_type(X1))
              | ~ member(X0,X1) )
            & ( member(X0,X1)
              | ~ ilf_type(X0,member_type(X1)) ) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( ! [X1] :
          ( empty(X1)
          | ~ ilf_type(X1,set_type)
          | ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) )
          | ~ ilf_type(X1,set_type)
          | empty(X1) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ( ilf_type(X1,set_type)
            & ~ empty(X1) )
         => ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).

fof(f621,plain,
    member(sK5(sK2),sK1),
    inference(resolution,[],[f584,f391]) ).

fof(f391,plain,
    ! [X0] :
      ( ~ member(X0,range_of(sK2))
      | member(X0,sK1) ),
    inference(resolution,[],[f379,f357]) ).

fof(f357,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,power_set(X1))
      | ~ member(X2,X0)
      | member(X2,X1) ),
    inference(subsumption_resolution,[],[f356,f163]) ).

fof(f356,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,set_type)
      | ~ member(X0,power_set(X1))
      | ~ member(X2,X0)
      | member(X2,X1) ),
    inference(subsumption_resolution,[],[f355,f163]) ).

fof(f355,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,power_set(X1))
      | ~ ilf_type(X1,set_type)
      | ~ member(X2,X0)
      | ~ ilf_type(X2,set_type)
      | member(X2,X1) ),
    inference(subsumption_resolution,[],[f184,f163]) ).

fof(f184,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,X0)
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | member(X2,X1)
      | ~ member(X0,power_set(X1))
      | ~ ilf_type(X2,set_type) ),
    inference(literal_reordering,[],[f135]) ).

fof(f135,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,set_type)
      | ~ member(X2,X0)
      | ~ member(X0,power_set(X1))
      | ~ ilf_type(X0,set_type)
      | member(X2,X1)
      | ~ ilf_type(X1,set_type) ),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ( ( ! [X2] :
                  ( ~ ilf_type(X2,set_type)
                  | member(X2,X1)
                  | ~ member(X2,X0) )
              | ~ member(X0,power_set(X1)) )
            & ( member(X0,power_set(X1))
              | ( ilf_type(sK12(X0,X1),set_type)
                & ~ member(sK12(X0,X1),X1)
                & member(sK12(X0,X1),X0) ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f86,f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ilf_type(X3,set_type)
          & ~ member(X3,X1)
          & member(X3,X0) )
     => ( ilf_type(sK12(X0,X1),set_type)
        & ~ member(sK12(X0,X1),X1)
        & member(sK12(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f86,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ( ( ! [X2] :
                  ( ~ ilf_type(X2,set_type)
                  | member(X2,X1)
                  | ~ member(X2,X0) )
              | ~ member(X0,power_set(X1)) )
            & ( member(X0,power_set(X1))
              | ? [X3] :
                  ( ilf_type(X3,set_type)
                  & ~ member(X3,X1)
                  & member(X3,X0) ) ) ) ) ),
    inference(rectify,[],[f85]) ).

fof(f85,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ( ( ! [X2] :
                  ( ~ ilf_type(X2,set_type)
                  | member(X2,X1)
                  | ~ member(X2,X0) )
              | ~ member(X0,power_set(X1)) )
            & ( member(X0,power_set(X1))
              | ? [X2] :
                  ( ilf_type(X2,set_type)
                  & ~ member(X2,X1)
                  & member(X2,X0) ) ) ) ) ),
    inference(nnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ( ! [X2] :
                ( ~ ilf_type(X2,set_type)
                | member(X2,X1)
                | ~ member(X2,X0) )
          <=> member(X0,power_set(X1)) ) ) ),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( ilf_type(X2,set_type)
               => ( member(X2,X0)
                 => member(X2,X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14) ).

fof(f379,plain,
    member(range_of(sK2),power_set(sK1)),
    inference(subsumption_resolution,[],[f378,f238]) ).

fof(f238,plain,
    ! [X0] : ~ empty(power_set(X0)),
    inference(subsumption_resolution,[],[f176,f163]) ).

fof(f176,plain,
    ! [X0] :
      ( ~ empty(power_set(X0))
      | ~ ilf_type(X0,set_type) ),
    inference(literal_reordering,[],[f105]) ).

fof(f105,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ~ empty(power_set(X0)) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ( ~ empty(power_set(X0))
        & ilf_type(power_set(X0),set_type) ) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( ~ empty(power_set(X0))
        & ilf_type(power_set(X0),set_type) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15) ).

fof(f378,plain,
    ( empty(power_set(sK1))
    | member(range_of(sK2),power_set(sK1)) ),
    inference(resolution,[],[f370,f272]) ).

fof(f272,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,member_type(X1))
      | member(X0,X1)
      | empty(X1) ),
    inference(subsumption_resolution,[],[f271,f163]) ).

fof(f271,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | empty(X1)
      | ~ ilf_type(X0,member_type(X1))
      | member(X0,X1) ),
    inference(subsumption_resolution,[],[f150,f163]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,member_type(X1))
      | empty(X1)
      | ~ ilf_type(X1,set_type)
      | member(X0,X1)
      | ~ ilf_type(X0,set_type) ),
    inference(literal_reordering,[],[f110]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( empty(X1)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X0,member_type(X1))
      | member(X0,X1) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f370,plain,
    ilf_type(range_of(sK2),member_type(power_set(sK1))),
    inference(resolution,[],[f362,f288]) ).

fof(f288,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X1,subset_type(X0))
      | ilf_type(X1,member_type(power_set(X0))) ),
    inference(subsumption_resolution,[],[f287,f163]) ).

fof(f287,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | ilf_type(X1,member_type(power_set(X0)))
      | ~ ilf_type(X1,subset_type(X0)) ),
    inference(subsumption_resolution,[],[f172,f163]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X1,subset_type(X0))
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ilf_type(X1,member_type(power_set(X0))) ),
    inference(literal_reordering,[],[f140]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ilf_type(X1,member_type(power_set(X0)))
      | ~ ilf_type(X1,subset_type(X0))
      | ~ ilf_type(X1,set_type) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ( ( ilf_type(X1,member_type(power_set(X0)))
              | ~ ilf_type(X1,subset_type(X0)) )
            & ( ilf_type(X1,subset_type(X0))
              | ~ ilf_type(X1,member_type(power_set(X0))) ) ) ) ),
    inference(nnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ( ilf_type(X1,member_type(power_set(X0)))
          <=> ilf_type(X1,subset_type(X0)) ) ) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ilf_type(X1,member_type(power_set(X0)))
          <=> ilf_type(X1,subset_type(X0)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12) ).

fof(f362,plain,
    ilf_type(range_of(sK2),subset_type(sK1)),
    inference(subsumption_resolution,[],[f361,f162]) ).

fof(f361,plain,
    ( ilf_type(range_of(sK2),subset_type(sK1))
    | ~ ilf_type(sK2,relation_type(sK0,sK1)) ),
    inference(superposition,[],[f331,f328]) ).

fof(f331,plain,
    ! [X2,X0,X1] :
      ( ilf_type(range(X0,X1,X2),subset_type(X1))
      | ~ ilf_type(X2,relation_type(X0,X1)) ),
    inference(subsumption_resolution,[],[f330,f163]) ).

fof(f330,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ilf_type(range(X0,X1,X2),subset_type(X1)) ),
    inference(subsumption_resolution,[],[f182,f163]) ).

fof(f182,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ilf_type(range(X0,X1,X2),subset_type(X1))
      | ~ ilf_type(X1,set_type) ),
    inference(literal_reordering,[],[f101]) ).

fof(f101,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ilf_type(range(X0,X1,X2),subset_type(X1)) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ! [X2] :
              ( ilf_type(range(X0,X1,X2),subset_type(X1))
              | ~ ilf_type(X2,relation_type(X0,X1)) ) ) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,relation_type(X0,X1))
             => ilf_type(range(X0,X1,X2),subset_type(X1)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET682+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 14:23:42 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.48  % (12274)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.48  % (12282)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.53  % (12273)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54  % (12281)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.54  % (12261)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.54  % (12285)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.55  % (12262)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55  % (12266)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55  % (12269)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55  % (12264)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.55  % (12259)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.55  % (12266)Instruction limit reached!
% 0.19/0.55  % (12266)------------------------------
% 0.19/0.55  % (12266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (12266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (12266)Termination reason: Unknown
% 0.19/0.55  % (12266)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (12266)Memory used [KB]: 5500
% 0.19/0.55  % (12266)Time elapsed: 0.139 s
% 0.19/0.55  % (12266)Instructions burned: 8 (million)
% 0.19/0.55  % (12266)------------------------------
% 0.19/0.55  % (12266)------------------------------
% 0.19/0.55  % (12263)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55  TRYING [1]
% 0.19/0.56  % (12277)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56  % (12284)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.56  % (12270)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56  % (12283)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.56  % (12288)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.56  % (12276)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.56  % (12287)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.56  % (12286)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.56  % (12275)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.56  % (12272)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.56  % (12260)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.56  % (12271)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.57  % (12278)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.57  % (12285)First to succeed.
% 0.19/0.57  % (12265)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.57  % (12280)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.57  % (12267)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.57  TRYING [1]
% 0.19/0.57  TRYING [2]
% 0.19/0.57  % (12267)Instruction limit reached!
% 0.19/0.57  % (12267)------------------------------
% 0.19/0.57  % (12267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (12267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (12267)Termination reason: Unknown
% 0.19/0.57  % (12267)Termination phase: Blocked clause elimination
% 0.19/0.57  
% 0.19/0.57  % (12267)Memory used [KB]: 1023
% 0.19/0.57  % (12267)Time elapsed: 0.004 s
% 0.19/0.57  % (12267)Instructions burned: 3 (million)
% 0.19/0.57  % (12267)------------------------------
% 0.19/0.57  % (12267)------------------------------
% 0.19/0.57  % (12279)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.57  TRYING [2]
% 0.19/0.58  TRYING [3]
% 0.19/0.58  % (12268)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.58  % (12285)Refutation found. Thanks to Tanya!
% 0.19/0.58  % SZS status Theorem for theBenchmark
% 0.19/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.58  % (12285)------------------------------
% 0.19/0.58  % (12285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (12285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (12285)Termination reason: Refutation
% 0.19/0.58  
% 0.19/0.58  % (12285)Memory used [KB]: 6140
% 0.19/0.58  % (12285)Time elapsed: 0.021 s
% 0.19/0.58  % (12285)Instructions burned: 21 (million)
% 0.19/0.58  % (12285)------------------------------
% 0.19/0.58  % (12285)------------------------------
% 0.19/0.58  % (12258)Success in time 0.224 s
%------------------------------------------------------------------------------