TSTP Solution File: SET683+3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET683+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 : n010.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 1.42s 0.54s
% Output   : Refutation 1.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  138 (  19 unt;   3 typ;   0 def)
%            Number of atoms       :  546 (  14 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  692 ( 281   ~; 250   |; 101   &)
%                                         (  12 <=>;  48  =>;   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   :  295 ( 259   !;  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(f698,plain,
    $false,
    inference(subsumption_resolution,[],[f679,f669]) ).

fof(f669,plain,
    ~ ilf_type(sK5(sK10),member_type(sK9)),
    inference(resolution,[],[f652,f335]) ).

fof(f335,plain,
    ! [X4] :
      ( ~ member(X4,domain_of(sK10))
      | ~ ilf_type(X4,member_type(sK9)) ),
    inference(backward_demodulation,[],[f187,f310]) ).

fof(f310,plain,
    domain(sK9,sK8,sK10) = domain_of(sK10),
    inference(resolution,[],[f308,f172]) ).

fof(f172,plain,
    ilf_type(sK10,relation_type(sK9,sK8)),
    inference(literal_reordering,[],[f126]) ).

fof(f126,plain,
    ilf_type(sK10,relation_type(sK9,sK8)),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ( ~ empty(sK8)
    & ilf_type(sK8,set_type)
    & ~ empty(sK9)
    & ilf_type(sK10,relation_type(sK9,sK8))
    & ! [X4] :
        ( ~ ilf_type(X4,member_type(sK9))
        | ~ member(X4,domain(sK9,sK8,sK10)) )
    & ilf_type(sK11,member_type(sK8))
    & member(sK11,range(sK9,sK8,sK10))
    & ilf_type(sK9,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11])],[f52,f83,f82,f81,f80]) ).

fof(f80,plain,
    ( ? [X0] :
        ( ~ empty(X0)
        & ilf_type(X0,set_type)
        & ? [X1] :
            ( ~ empty(X1)
            & ? [X2] :
                ( ilf_type(X2,relation_type(X1,X0))
                & ? [X3] :
                    ( ! [X4] :
                        ( ~ ilf_type(X4,member_type(X1))
                        | ~ member(X4,domain(X1,X0,X2)) )
                    & ilf_type(X3,member_type(X0))
                    & member(X3,range(X1,X0,X2)) ) )
            & ilf_type(X1,set_type) ) )
   => ( ~ empty(sK8)
      & ilf_type(sK8,set_type)
      & ? [X1] :
          ( ~ empty(X1)
          & ? [X2] :
              ( ilf_type(X2,relation_type(X1,sK8))
              & ? [X3] :
                  ( ! [X4] :
                      ( ~ ilf_type(X4,member_type(X1))
                      | ~ member(X4,domain(X1,sK8,X2)) )
                  & ilf_type(X3,member_type(sK8))
                  & member(X3,range(X1,sK8,X2)) ) )
          & ilf_type(X1,set_type) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f81,plain,
    ( ? [X1] :
        ( ~ empty(X1)
        & ? [X2] :
            ( ilf_type(X2,relation_type(X1,sK8))
            & ? [X3] :
                ( ! [X4] :
                    ( ~ ilf_type(X4,member_type(X1))
                    | ~ member(X4,domain(X1,sK8,X2)) )
                & ilf_type(X3,member_type(sK8))
                & member(X3,range(X1,sK8,X2)) ) )
        & ilf_type(X1,set_type) )
   => ( ~ empty(sK9)
      & ? [X2] :
          ( ilf_type(X2,relation_type(sK9,sK8))
          & ? [X3] :
              ( ! [X4] :
                  ( ~ ilf_type(X4,member_type(sK9))
                  | ~ member(X4,domain(sK9,sK8,X2)) )
              & ilf_type(X3,member_type(sK8))
              & member(X3,range(sK9,sK8,X2)) ) )
      & ilf_type(sK9,set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f82,plain,
    ( ? [X2] :
        ( ilf_type(X2,relation_type(sK9,sK8))
        & ? [X3] :
            ( ! [X4] :
                ( ~ ilf_type(X4,member_type(sK9))
                | ~ member(X4,domain(sK9,sK8,X2)) )
            & ilf_type(X3,member_type(sK8))
            & member(X3,range(sK9,sK8,X2)) ) )
   => ( ilf_type(sK10,relation_type(sK9,sK8))
      & ? [X3] :
          ( ! [X4] :
              ( ~ ilf_type(X4,member_type(sK9))
              | ~ member(X4,domain(sK9,sK8,sK10)) )
          & ilf_type(X3,member_type(sK8))
          & member(X3,range(sK9,sK8,sK10)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f83,plain,
    ( ? [X3] :
        ( ! [X4] :
            ( ~ ilf_type(X4,member_type(sK9))
            | ~ member(X4,domain(sK9,sK8,sK10)) )
        & ilf_type(X3,member_type(sK8))
        & member(X3,range(sK9,sK8,sK10)) )
   => ( ! [X4] :
          ( ~ ilf_type(X4,member_type(sK9))
          | ~ member(X4,domain(sK9,sK8,sK10)) )
      & ilf_type(sK11,member_type(sK8))
      & member(sK11,range(sK9,sK8,sK10)) ) ),
    introduced(choice_axiom,[]) ).

fof(f52,plain,
    ? [X0] :
      ( ~ empty(X0)
      & ilf_type(X0,set_type)
      & ? [X1] :
          ( ~ empty(X1)
          & ? [X2] :
              ( ilf_type(X2,relation_type(X1,X0))
              & ? [X3] :
                  ( ! [X4] :
                      ( ~ ilf_type(X4,member_type(X1))
                      | ~ member(X4,domain(X1,X0,X2)) )
                  & ilf_type(X3,member_type(X0))
                  & member(X3,range(X1,X0,X2)) ) )
          & ilf_type(X1,set_type) ) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ! [X4] :
                      ( ~ ilf_type(X4,member_type(X1))
                      | ~ member(X4,domain(X1,X0,X2)) )
                  & member(X3,range(X1,X0,X2))
                  & ilf_type(X3,member_type(X0)) )
              & ilf_type(X2,relation_type(X1,X0)) )
          & ilf_type(X1,set_type)
          & ~ empty(X1) )
      & ~ empty(X0)
      & ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f26]) ).

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

fof(f25,conjecture,
    ! [X0] :
      ( ( ~ empty(X0)
        & ilf_type(X0,set_type) )
     => ! [X1] :
          ( ( ilf_type(X1,set_type)
            & ~ empty(X1) )
         => ! [X2] :
              ( ilf_type(X2,relation_type(X1,X0))
             => ! [X3] :
                  ( ilf_type(X3,member_type(X0))
                 => ( member(X3,range(X1,X0,X2))
                   => ? [X4] :
                        ( ilf_type(X4,member_type(X1))
                        & member(X4,domain(X1,X0,X2)) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_50) ).

fof(f308,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,relation_type(X0,X1))
      | domain(X0,X1,X2) = domain_of(X2) ),
    inference(subsumption_resolution,[],[f307,f146]) ).

fof(f146,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(literal_reordering,[],[f130]) ).

fof(f130,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f24]) ).

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

fof(f307,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,relation_type(X0,X1))
      | domain(X0,X1,X2) = domain_of(X2)
      | ~ ilf_type(X1,set_type) ),
    inference(subsumption_resolution,[],[f139,f146]) ).

fof(f139,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X1,set_type)
      | domain(X0,X1,X2) = domain_of(X2) ),
    inference(literal_reordering,[],[f133]) ).

fof(f133,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,relation_type(X0,X1))
      | domain(X0,X1,X2) = domain_of(X2)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ~ ilf_type(X2,relation_type(X0,X1))
              | domain(X0,X1,X2) = domain_of(X2) )
          | ~ 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/sandbox/benchmark/theBenchmark.p',p20) ).

fof(f187,plain,
    ! [X4] :
      ( ~ member(X4,domain(sK9,sK8,sK10))
      | ~ ilf_type(X4,member_type(sK9)) ),
    inference(literal_reordering,[],[f125]) ).

fof(f125,plain,
    ! [X4] :
      ( ~ member(X4,domain(sK9,sK8,sK10))
      | ~ ilf_type(X4,member_type(sK9)) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f652,plain,
    member(sK5(sK10),domain_of(sK10)),
    inference(resolution,[],[f543,f370]) ).

fof(f370,plain,
    member(sK0(range_of(sK10)),range_of(sK10)),
    inference(resolution,[],[f258,f346]) ).

fof(f346,plain,
    member(sK11,range_of(sK10)),
    inference(backward_demodulation,[],[f170,f324]) ).

fof(f324,plain,
    range(sK9,sK8,sK10) = range_of(sK10),
    inference(resolution,[],[f321,f172]) ).

fof(f321,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,relation_type(X0,X1))
      | range(X0,X1,X2) = range_of(X2) ),
    inference(subsumption_resolution,[],[f320,f146]) ).

fof(f320,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X0,set_type)
      | range(X0,X1,X2) = range_of(X2) ),
    inference(subsumption_resolution,[],[f169,f146]) ).

fof(f169,plain,
    ! [X2,X0,X1] :
      ( range(X0,X1,X2) = range_of(X2)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X2,relation_type(X0,X1)) ),
    inference(literal_reordering,[],[f119]) ).

fof(f119,plain,
    ! [X2,X0,X1] :
      ( range(X0,X1,X2) = range_of(X2)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X2,relation_type(X0,X1)) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [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) ) ) ),
    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/sandbox/benchmark/theBenchmark.p',p22) ).

fof(f170,plain,
    member(sK11,range(sK9,sK8,sK10)),
    inference(literal_reordering,[],[f123]) ).

fof(f123,plain,
    member(sK11,range(sK9,sK8,sK10)),
    inference(cnf_transformation,[],[f84]) ).

fof(f258,plain,
    ! [X2,X3] :
      ( ~ member(X2,X3)
      | member(sK0(X3),X3) ),
    inference(resolution,[],[f256,f245]) ).

fof(f245,plain,
    ! [X0] :
      ( empty(X0)
      | member(sK0(X0),X0) ),
    inference(subsumption_resolution,[],[f167,f146]) ).

fof(f167,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | member(sK0(X0),X0)
      | empty(X0) ),
    inference(literal_reordering,[],[f92]) ).

fof(f92,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | empty(X0)
      | member(sK0(X0),X0) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( ( ( empty(X0)
          | ( member(sK0(X0),X0)
            & ilf_type(sK0(X0),set_type) ) )
        & ( ! [X2] :
              ( ~ member(X2,X0)
              | ~ ilf_type(X2,set_type) )
          | ~ empty(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f58,f59]) ).

fof(f59,plain,
    ! [X0] :
      ( ? [X1] :
          ( member(X1,X0)
          & ilf_type(X1,set_type) )
     => ( member(sK0(X0),X0)
        & ilf_type(sK0(X0),set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f58,plain,
    ! [X0] :
      ( ( ( empty(X0)
          | ? [X1] :
              ( member(X1,X0)
              & ilf_type(X1,set_type) ) )
        & ( ! [X2] :
              ( ~ member(X2,X0)
              | ~ ilf_type(X2,set_type) )
          | ~ empty(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(rectify,[],[f57]) ).

fof(f57,plain,
    ! [X0] :
      ( ( ( empty(X0)
          | ? [X1] :
              ( member(X1,X0)
              & ilf_type(X1,set_type) ) )
        & ( ! [X1] :
              ( ~ member(X1,X0)
              | ~ ilf_type(X1,set_type) )
          | ~ empty(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0] :
      ( ( empty(X0)
      <=> ! [X1] :
            ( ~ member(X1,X0)
            | ~ ilf_type(X1,set_type) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f6]) ).

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

fof(f256,plain,
    ! [X2,X0] :
      ( ~ empty(X0)
      | ~ member(X2,X0) ),
    inference(subsumption_resolution,[],[f255,f146]) ).

fof(f255,plain,
    ! [X2,X0] :
      ( ~ member(X2,X0)
      | ~ empty(X0)
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f159,f146]) ).

fof(f159,plain,
    ! [X2,X0] :
      ( ~ ilf_type(X2,set_type)
      | ~ empty(X0)
      | ~ member(X2,X0)
      | ~ ilf_type(X0,set_type) ),
    inference(literal_reordering,[],[f90]) ).

fof(f90,plain,
    ! [X2,X0] :
      ( ~ ilf_type(X0,set_type)
      | ~ empty(X0)
      | ~ ilf_type(X2,set_type)
      | ~ member(X2,X0) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f543,plain,
    ! [X1] :
      ( ~ member(X1,range_of(sK10))
      | member(sK5(sK10),domain_of(sK10)) ),
    inference(resolution,[],[f513,f276]) ).

fof(f276,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X1,binary_relation_type)
      | ~ member(X0,range_of(X1))
      | member(sK5(X1),domain_of(X1)) ),
    inference(subsumption_resolution,[],[f157,f146]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ member(X0,range_of(X1))
      | ~ ilf_type(X1,binary_relation_type)
      | member(sK5(X1),domain_of(X1)) ),
    inference(literal_reordering,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ member(X0,range_of(X1))
      | member(sK5(X1),domain_of(X1))
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,binary_relation_type) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(sK5(X1),set_type)
            & member(sK5(X1),domain_of(X1)) )
          | ~ member(X0,range_of(X1))
          | ~ ilf_type(X1,binary_relation_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f41,f71]) ).

fof(f71,plain,
    ! [X1] :
      ( ? [X2] :
          ( ilf_type(X2,set_type)
          & member(X2,domain_of(X1)) )
     => ( ilf_type(sK5(X1),set_type)
        & member(sK5(X1),domain_of(X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f41,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( ilf_type(X2,set_type)
              & member(X2,domain_of(X1)) )
          | ~ member(X0,range_of(X1))
          | ~ ilf_type(X1,binary_relation_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f40]) ).

fof(f40,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( ilf_type(X2,set_type)
              & member(X2,domain_of(X1)) )
          | ~ member(X0,range_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,range_of(X1))
           => ? [X2] :
                ( ilf_type(X2,set_type)
                & member(X2,domain_of(X1)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).

fof(f513,plain,
    ilf_type(sK10,binary_relation_type),
    inference(resolution,[],[f400,f172]) ).

fof(f400,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X0,relation_type(X1,X2))
      | ilf_type(X0,binary_relation_type) ),
    inference(resolution,[],[f263,f302]) ).

fof(f302,plain,
    ! [X3,X0,X1] :
      ( ilf_type(X3,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X3,relation_type(X0,X1)) ),
    inference(subsumption_resolution,[],[f301,f146]) ).

fof(f301,plain,
    ! [X3,X0,X1] :
      ( ~ ilf_type(X3,relation_type(X0,X1))
      | ~ ilf_type(X1,set_type)
      | ilf_type(X3,subset_type(cross_product(X0,X1))) ),
    inference(subsumption_resolution,[],[f165,f146]) ).

fof(f165,plain,
    ! [X3,X0,X1] :
      ( ~ ilf_type(X3,relation_type(X0,X1))
      | ilf_type(X3,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type) ),
    inference(literal_reordering,[],[f111]) ).

fof(f111,plain,
    ! [X3,X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | ilf_type(X3,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X3,relation_type(X0,X1))
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ( ! [X2] :
                ( ilf_type(X2,relation_type(X0,X1))
                | ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
            & ! [X3] :
                ( ~ ilf_type(X3,relation_type(X0,X1))
                | ilf_type(X3,subset_type(cross_product(X0,X1))) ) )
          | ~ ilf_type(X1,set_type) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [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))) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).

fof(f263,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
      | ilf_type(X0,binary_relation_type) ),
    inference(resolution,[],[f262,f240]) ).

fof(f240,plain,
    ! [X0] :
      ( ~ relation_like(X0)
      | ilf_type(X0,binary_relation_type) ),
    inference(subsumption_resolution,[],[f235,f146]) ).

fof(f235,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ilf_type(X0,binary_relation_type)
      | ~ relation_like(X0) ),
    inference(duplicate_literal_removal,[],[f168]) ).

fof(f168,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ilf_type(X0,binary_relation_type)
      | ~ ilf_type(X0,set_type)
      | ~ relation_like(X0) ),
    inference(literal_reordering,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X0,set_type)
      | ~ relation_like(X0)
      | ilf_type(X0,binary_relation_type) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ( ( ilf_type(X0,binary_relation_type)
          | ~ ilf_type(X0,set_type)
          | ~ relation_like(X0) )
        & ( ( ilf_type(X0,set_type)
            & relation_like(X0) )
          | ~ ilf_type(X0,binary_relation_type) ) ) ),
    inference(flattening,[],[f74]) ).

fof(f74,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ( ( ilf_type(X0,binary_relation_type)
          | ~ ilf_type(X0,set_type)
          | ~ relation_like(X0) )
        & ( ( ilf_type(X0,set_type)
            & relation_like(X0) )
          | ~ ilf_type(X0,binary_relation_type) ) ) ),
    inference(nnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ( ilf_type(X0,binary_relation_type)
      <=> ( ilf_type(X0,set_type)
          & relation_like(X0) ) ) ),
    inference(ennf_transformation,[],[f10]) ).

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

fof(f262,plain,
    ! [X2,X0,X1] :
      ( relation_like(X2)
      | ~ ilf_type(X2,subset_type(cross_product(X0,X1))) ),
    inference(subsumption_resolution,[],[f261,f146]) ).

fof(f261,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
      | relation_like(X2) ),
    inference(subsumption_resolution,[],[f163,f146]) ).

fof(f163,plain,
    ! [X2,X0,X1] :
      ( relation_like(X2)
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X1,set_type) ),
    inference(literal_reordering,[],[f114]) ).

fof(f114,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
      | relation_like(X2) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( relation_like(X2)
              | ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
          | ~ ilf_type(X1,set_type) )
      | ~ 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/sandbox/benchmark/theBenchmark.p',p18) ).

fof(f679,plain,
    ilf_type(sK5(sK10),member_type(sK9)),
    inference(resolution,[],[f668,f266]) ).

fof(f266,plain,
    ! [X0,X1] :
      ( ~ member(X0,X1)
      | ilf_type(X0,member_type(X1)) ),
    inference(subsumption_resolution,[],[f265,f256]) ).

fof(f265,plain,
    ! [X0,X1] :
      ( empty(X1)
      | ~ member(X0,X1)
      | ilf_type(X0,member_type(X1)) ),
    inference(subsumption_resolution,[],[f264,f146]) ).

fof(f264,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | empty(X1)
      | ~ member(X0,X1)
      | ilf_type(X0,member_type(X1)) ),
    inference(subsumption_resolution,[],[f148,f146]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( ilf_type(X0,member_type(X1))
      | ~ ilf_type(X0,set_type)
      | empty(X1)
      | ~ ilf_type(X1,set_type)
      | ~ member(X0,X1) ),
    inference(literal_reordering,[],[f132]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( ilf_type(X0,member_type(X1))
      | ~ ilf_type(X1,set_type)
      | empty(X1)
      | ~ member(X0,X1)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ( ( ilf_type(X0,member_type(X1))
              | ~ member(X0,X1) )
            & ( member(X0,X1)
              | ~ ilf_type(X0,member_type(X1)) ) )
          | empty(X1)
          | ~ ilf_type(X1,set_type) ) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) )
          | empty(X1)
          | ~ ilf_type(X1,set_type) ) ),
    inference(flattening,[],[f42]) ).

fof(f42,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/sandbox/benchmark/theBenchmark.p',p4) ).

fof(f668,plain,
    member(sK5(sK10),sK9),
    inference(resolution,[],[f652,f548]) ).

fof(f548,plain,
    ! [X10] :
      ( ~ member(X10,domain_of(sK10))
      | member(X10,sK9) ),
    inference(resolution,[],[f392,f338]) ).

fof(f338,plain,
    ilf_type(domain_of(sK10),subset_type(sK9)),
    inference(subsumption_resolution,[],[f337,f172]) ).

fof(f337,plain,
    ( ilf_type(domain_of(sK10),subset_type(sK9))
    | ~ ilf_type(sK10,relation_type(sK9,sK8)) ),
    inference(superposition,[],[f318,f310]) ).

fof(f318,plain,
    ! [X2,X0,X1] :
      ( ilf_type(domain(X0,X1,X2),subset_type(X0))
      | ~ ilf_type(X2,relation_type(X0,X1)) ),
    inference(subsumption_resolution,[],[f317,f146]) ).

fof(f317,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X1,set_type)
      | ilf_type(domain(X0,X1,X2),subset_type(X0)) ),
    inference(subsumption_resolution,[],[f154,f146]) ).

fof(f154,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ilf_type(domain(X0,X1,X2),subset_type(X0))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,relation_type(X0,X1)) ),
    inference(literal_reordering,[],[f110]) ).

fof(f110,plain,
    ! [X2,X0,X1] :
      ( ilf_type(domain(X0,X1,X2),subset_type(X0))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ilf_type(domain(X0,X1,X2),subset_type(X0))
              | ~ ilf_type(X2,relation_type(X0,X1)) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,relation_type(X0,X1))
             => ilf_type(domain(X0,X1,X2),subset_type(X0)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21) ).

fof(f392,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X0,subset_type(X1))
      | ~ member(X2,X0)
      | member(X2,X1) ),
    inference(resolution,[],[f294,f342]) ).

fof(f342,plain,
    ! [X3,X0,X1] :
      ( ~ member(X0,power_set(X1))
      | member(X3,X1)
      | ~ member(X3,X0) ),
    inference(subsumption_resolution,[],[f341,f146]) ).

fof(f341,plain,
    ! [X3,X0,X1] :
      ( member(X3,X1)
      | ~ member(X0,power_set(X1))
      | ~ member(X3,X0)
      | ~ ilf_type(X3,set_type) ),
    inference(subsumption_resolution,[],[f340,f146]) ).

fof(f340,plain,
    ! [X3,X0,X1] :
      ( member(X3,X1)
      | ~ ilf_type(X1,set_type)
      | ~ member(X3,X0)
      | ~ member(X0,power_set(X1))
      | ~ ilf_type(X3,set_type) ),
    inference(subsumption_resolution,[],[f150,f146]) ).

fof(f150,plain,
    ! [X3,X0,X1] :
      ( ~ member(X0,power_set(X1))
      | ~ ilf_type(X0,set_type)
      | ~ member(X3,X0)
      | member(X3,X1)
      | ~ ilf_type(X3,set_type)
      | ~ ilf_type(X1,set_type) ),
    inference(literal_reordering,[],[f93]) ).

fof(f93,plain,
    ! [X3,X0,X1] :
      ( ~ ilf_type(X3,set_type)
      | ~ member(X3,X0)
      | ~ ilf_type(X1,set_type)
      | ~ member(X0,power_set(X1))
      | member(X3,X1)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ( ( member(X0,power_set(X1))
              | ( ilf_type(sK1(X0,X1),set_type)
                & ~ member(sK1(X0,X1),X1)
                & member(sK1(X0,X1),X0) ) )
            & ( ! [X3] :
                  ( ~ ilf_type(X3,set_type)
                  | member(X3,X1)
                  | ~ member(X3,X0) )
              | ~ member(X0,power_set(X1)) ) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f62,f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ilf_type(X2,set_type)
          & ~ member(X2,X1)
          & member(X2,X0) )
     => ( ilf_type(sK1(X0,X1),set_type)
        & ~ member(sK1(X0,X1),X1)
        & member(sK1(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f62,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ( ( member(X0,power_set(X1))
              | ? [X2] :
                  ( ilf_type(X2,set_type)
                  & ~ member(X2,X1)
                  & member(X2,X0) ) )
            & ( ! [X3] :
                  ( ~ ilf_type(X3,set_type)
                  | member(X3,X1)
                  | ~ member(X3,X0) )
              | ~ member(X0,power_set(X1)) ) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(rectify,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ( ( member(X0,power_set(X1))
              | ? [X2] :
                  ( ilf_type(X2,set_type)
                  & ~ member(X2,X1)
                  & member(X2,X0) ) )
            & ( ! [X2] :
                  ( ~ ilf_type(X2,set_type)
                  | member(X2,X1)
                  | ~ member(X2,X0) )
              | ~ member(X0,power_set(X1)) ) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( ~ ilf_type(X2,set_type)
                | member(X2,X1)
                | ~ member(X2,X0) ) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f29]) ).

fof(f29,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) )
          <=> member(X0,power_set(X1)) )
          | ~ 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)
         => ( ! [X2] :
                ( ilf_type(X2,set_type)
               => ( member(X2,X0)
                 => member(X2,X1) ) )
          <=> member(X0,power_set(X1)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14) ).

fof(f294,plain,
    ! [X0,X1] :
      ( member(X0,power_set(X1))
      | ~ ilf_type(X0,subset_type(X1)) ),
    inference(subsumption_resolution,[],[f289,f236]) ).

fof(f236,plain,
    ! [X0] : ~ empty(power_set(X0)),
    inference(subsumption_resolution,[],[f153,f146]) ).

fof(f153,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ~ empty(power_set(X0)) ),
    inference(literal_reordering,[],[f103]) ).

fof(f103,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ~ empty(power_set(X0)) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ( ilf_type(power_set(X0),set_type)
        & ~ empty(power_set(X0)) ) ),
    inference(ennf_transformation,[],[f15]) ).

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

fof(f289,plain,
    ! [X0,X1] :
      ( empty(power_set(X1))
      | member(X0,power_set(X1))
      | ~ ilf_type(X0,subset_type(X1)) ),
    inference(resolution,[],[f286,f271]) ).

fof(f271,plain,
    ! [X0,X1] :
      ( ilf_type(X1,member_type(power_set(X0)))
      | ~ ilf_type(X1,subset_type(X0)) ),
    inference(subsumption_resolution,[],[f270,f146]) ).

fof(f270,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,subset_type(X0))
      | ilf_type(X1,member_type(power_set(X0))) ),
    inference(subsumption_resolution,[],[f149,f146]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( ilf_type(X1,member_type(power_set(X0)))
      | ~ ilf_type(X1,subset_type(X0))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(literal_reordering,[],[f109]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | ilf_type(X1,member_type(power_set(X0)))
      | ~ ilf_type(X1,subset_type(X0))
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( 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))) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X1,member_type(power_set(X0)))
          <=> ilf_type(X1,subset_type(X0)) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    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/sandbox/benchmark/theBenchmark.p',p12) ).

fof(f286,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,member_type(X1))
      | member(X0,X1)
      | empty(X1) ),
    inference(subsumption_resolution,[],[f285,f146]) ).

fof(f285,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,member_type(X1))
      | member(X0,X1)
      | empty(X1)
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f162,f146]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( member(X0,X1)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type)
      | empty(X1)
      | ~ ilf_type(X0,member_type(X1)) ),
    inference(literal_reordering,[],[f131]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( empty(X1)
      | ~ ilf_type(X0,member_type(X1))
      | ~ ilf_type(X1,set_type)
      | member(X0,X1)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f85]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SET683+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 14:06:59 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (23282)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)
% 0.19/0.49  % (23274)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)
% 0.19/0.50  % (23266)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)
% 0.19/0.50  % (23272)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51  % (23260)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)
% 0.19/0.51  % (23271)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)
% 1.30/0.52  TRYING [1]
% 1.30/0.52  TRYING [2]
% 1.30/0.52  % (23279)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)
% 1.30/0.52  % (23289)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)
% 1.30/0.52  % (23265)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)
% 1.30/0.52  % (23263)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)
% 1.30/0.52  % (23283)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)
% 1.30/0.52  % (23270)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.30/0.52  % (23264)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.52  % (23288)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.30/0.53  % (23262)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)
% 1.30/0.53  % (23276)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)
% 1.30/0.53  TRYING [1]
% 1.30/0.53  % (23269)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)
% 1.30/0.53  TRYING [2]
% 1.42/0.53  % (23268)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.42/0.53  % (23268)Instruction limit reached!
% 1.42/0.53  % (23268)------------------------------
% 1.42/0.53  % (23268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.53  % (23268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.53  % (23268)Termination reason: Unknown
% 1.42/0.53  % (23268)Termination phase: Preprocessing 3
% 1.42/0.53  
% 1.42/0.53  % (23268)Memory used [KB]: 895
% 1.42/0.53  % (23268)Time elapsed: 0.003 s
% 1.42/0.53  % (23268)Instructions burned: 2 (million)
% 1.42/0.53  % (23268)------------------------------
% 1.42/0.53  % (23268)------------------------------
% 1.42/0.53  % (23261)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)
% 1.42/0.53  % (23275)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)
% 1.42/0.53  % (23280)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)
% 1.42/0.53  % (23261)Refutation not found, incomplete strategy% (23261)------------------------------
% 1.42/0.53  % (23261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.53  % (23261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.53  % (23261)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.53  
% 1.42/0.53  % (23261)Memory used [KB]: 5500
% 1.42/0.53  % (23261)Time elapsed: 0.138 s
% 1.42/0.53  % (23261)Instructions burned: 4 (million)
% 1.42/0.53  % (23261)------------------------------
% 1.42/0.53  % (23261)------------------------------
% 1.42/0.53  % (23273)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.42/0.53  % (23274)First to succeed.
% 1.42/0.54  % (23287)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)
% 1.42/0.54  % (23267)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.42/0.54  % (23274)Refutation found. Thanks to Tanya!
% 1.42/0.54  % SZS status Theorem for theBenchmark
% 1.42/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.54  % (23274)------------------------------
% 1.42/0.54  % (23274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54  % (23274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54  % (23274)Termination reason: Refutation
% 1.42/0.54  
% 1.42/0.54  % (23274)Memory used [KB]: 6140
% 1.42/0.54  % (23274)Time elapsed: 0.029 s
% 1.42/0.54  % (23274)Instructions burned: 24 (million)
% 1.42/0.54  % (23274)------------------------------
% 1.42/0.54  % (23274)------------------------------
% 1.42/0.54  % (23259)Success in time 0.187 s
%------------------------------------------------------------------------------