TSTP Solution File: SET668+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET668+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n006.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 : Sun May  5 09:07:54 EDT 2024

% Result   : Theorem 0.96s 0.91s
% Output   : Refutation 0.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  110 (  12 unt;   0 def)
%            Number of atoms       :  458 (  31 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :  579 ( 231   ~; 222   |;  72   &)
%                                         (  15 <=>;  39  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   4 con; 0-3 aty)
%            Number of variables   :  234 ( 213   !;  21   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1880,plain,
    $false,
    inference(avatar_sat_refutation,[],[f200,f493,f1879]) ).

fof(f1879,plain,
    spl15_1,
    inference(avatar_contradiction_clause,[],[f1878]) ).

fof(f1878,plain,
    ( $false
    | spl15_1 ),
    inference(subsumption_resolution,[],[f1877,f497]) ).

fof(f497,plain,
    ( ~ subset(domain_of(sK2),sK1)
    | spl15_1 ),
    inference(subsumption_resolution,[],[f495,f331]) ).

fof(f331,plain,
    ( sK1 != domain_of(sK2)
    | spl15_1 ),
    inference(subsumption_resolution,[],[f330,f122]) ).

fof(f122,plain,
    ilf_type(sK2,relation_type(sK1,sK0)),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ( ( ~ subset(sK1,range(sK1,sK0,sK2))
      | sK1 != domain(sK1,sK0,sK2) )
    & subset(identity_relation_of(sK1),sK2)
    & ilf_type(sK2,relation_type(sK1,sK0))
    & ilf_type(sK1,set_type)
    & ilf_type(sK0,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f37,f79,f78,f77]) ).

fof(f77,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ( ~ subset(X1,range(X1,X0,X2))
                  | domain(X1,X0,X2) != X1 )
                & subset(identity_relation_of(X1),X2)
                & ilf_type(X2,relation_type(X1,X0)) )
            & ilf_type(X1,set_type) )
        & ilf_type(X0,set_type) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ( ~ subset(X1,range(X1,sK0,X2))
                | domain(X1,sK0,X2) != X1 )
              & subset(identity_relation_of(X1),X2)
              & ilf_type(X2,relation_type(X1,sK0)) )
          & ilf_type(X1,set_type) )
      & ilf_type(sK0,set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f78,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ( ~ subset(X1,range(X1,sK0,X2))
              | domain(X1,sK0,X2) != X1 )
            & subset(identity_relation_of(X1),X2)
            & ilf_type(X2,relation_type(X1,sK0)) )
        & ilf_type(X1,set_type) )
   => ( ? [X2] :
          ( ( ~ subset(sK1,range(sK1,sK0,X2))
            | sK1 != domain(sK1,sK0,X2) )
          & subset(identity_relation_of(sK1),X2)
          & ilf_type(X2,relation_type(sK1,sK0)) )
      & ilf_type(sK1,set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f79,plain,
    ( ? [X2] :
        ( ( ~ subset(sK1,range(sK1,sK0,X2))
          | sK1 != domain(sK1,sK0,X2) )
        & subset(identity_relation_of(sK1),X2)
        & ilf_type(X2,relation_type(sK1,sK0)) )
   => ( ( ~ subset(sK1,range(sK1,sK0,sK2))
        | sK1 != domain(sK1,sK0,sK2) )
      & subset(identity_relation_of(sK1),sK2)
      & ilf_type(sK2,relation_type(sK1,sK0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f37,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ( ~ subset(X1,range(X1,X0,X2))
                | domain(X1,X0,X2) != X1 )
              & subset(identity_relation_of(X1),X2)
              & ilf_type(X2,relation_type(X1,X0)) )
          & ilf_type(X1,set_type) )
      & ilf_type(X0,set_type) ),
    inference(flattening,[],[f36]) ).

fof(f36,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ( ~ subset(X1,range(X1,X0,X2))
                | domain(X1,X0,X2) != X1 )
              & subset(identity_relation_of(X1),X2)
              & ilf_type(X2,relation_type(X1,X0)) )
          & ilf_type(X1,set_type) )
      & ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,negated_conjecture,
    ~ ! [X0] :
        ( ilf_type(X0,set_type)
       => ! [X1] :
            ( ilf_type(X1,set_type)
           => ! [X2] :
                ( ilf_type(X2,relation_type(X1,X0))
               => ( subset(identity_relation_of(X1),X2)
                 => ( subset(X1,range(X1,X0,X2))
                    & domain(X1,X0,X2) = X1 ) ) ) ) ),
    inference(negated_conjecture,[],[f33]) ).

fof(f33,conjecture,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,relation_type(X1,X0))
             => ( subset(identity_relation_of(X1),X2)
               => ( subset(X1,range(X1,X0,X2))
                  & domain(X1,X0,X2) = X1 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.A3v3Xjnvb6/Vampire---4.8_8041',prove_relset_1_31) ).

fof(f330,plain,
    ( sK1 != domain_of(sK2)
    | ~ ilf_type(sK2,relation_type(sK1,sK0))
    | spl15_1 ),
    inference(superposition,[],[f195,f327]) ).

fof(f327,plain,
    ! [X2,X0,X1] :
      ( domain(X0,X1,X2) = domain_of(X2)
      | ~ ilf_type(X2,relation_type(X0,X1)) ),
    inference(subsumption_resolution,[],[f326,f140]) ).

fof(f140,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,axiom,
    ! [X0] : ilf_type(X0,set_type),
    file('/export/starexec/sandbox2/tmp/tmp.A3v3Xjnvb6/Vampire---4.8_8041',p32) ).

fof(f326,plain,
    ! [X2,X0,X1] :
      ( domain(X0,X1,X2) = domain_of(X2)
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f126,f140]) ).

fof(f126,plain,
    ! [X2,X0,X1] :
      ( 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(cnf_transformation,[],[f39]) ).

fof(f39,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,[],[f28]) ).

fof(f28,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/tmp/tmp.A3v3Xjnvb6/Vampire---4.8_8041',p28) ).

fof(f195,plain,
    ( sK1 != domain(sK1,sK0,sK2)
    | spl15_1 ),
    inference(avatar_component_clause,[],[f193]) ).

fof(f193,plain,
    ( spl15_1
  <=> sK1 = domain(sK1,sK0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).

fof(f495,plain,
    ( sK1 = domain_of(sK2)
    | ~ subset(domain_of(sK2),sK1) ),
    inference(resolution,[],[f490,f234]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( ~ subset(X1,X0)
      | X0 = X1
      | ~ subset(X0,X1) ),
    inference(subsumption_resolution,[],[f233,f140]) ).

fof(f233,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ subset(X1,X0)
      | ~ subset(X0,X1)
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f135,f140]) ).

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

fof(f88,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( X0 = X1
              | ~ subset(X1,X0)
              | ~ subset(X0,X1) )
            & ( ( subset(X1,X0)
                & subset(X0,X1) )
              | X0 != X1 ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f87]) ).

fof(f87,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( X0 = X1
              | ~ subset(X1,X0)
              | ~ subset(X0,X1) )
            & ( ( subset(X1,X0)
                & subset(X0,X1) )
              | X0 != X1 ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X0 = X1
          <=> ( subset(X1,X0)
              & subset(X0,X1) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( X0 = X1
          <=> ( subset(X1,X0)
              & subset(X0,X1) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.A3v3Xjnvb6/Vampire---4.8_8041',p9) ).

fof(f490,plain,
    subset(sK1,domain_of(sK2)),
    inference(subsumption_resolution,[],[f487,f122]) ).

fof(f487,plain,
    ( subset(sK1,domain_of(sK2))
    | ~ ilf_type(sK2,relation_type(sK1,sK0)) ),
    inference(superposition,[],[f483,f327]) ).

fof(f483,plain,
    subset(sK1,domain(sK1,sK0,sK2)),
    inference(resolution,[],[f466,f122]) ).

fof(f466,plain,
    ! [X0,X1] :
      ( ~ ilf_type(sK2,relation_type(X0,X1))
      | subset(sK1,domain(X0,X1,sK2)) ),
    inference(resolution,[],[f465,f123]) ).

fof(f123,plain,
    subset(identity_relation_of(sK1),sK2),
    inference(cnf_transformation,[],[f80]) ).

fof(f465,plain,
    ! [X2,X3,X0,X1] :
      ( ~ subset(identity_relation_of(X2),X3)
      | subset(X2,domain(X0,X1,X3))
      | ~ ilf_type(X3,relation_type(X0,X1)) ),
    inference(subsumption_resolution,[],[f464,f140]) ).

fof(f464,plain,
    ! [X2,X3,X0,X1] :
      ( subset(X2,domain(X0,X1,X3))
      | ~ subset(identity_relation_of(X2),X3)
      | ~ ilf_type(X3,relation_type(X0,X1))
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f463,f140]) ).

fof(f463,plain,
    ! [X2,X3,X0,X1] :
      ( subset(X2,domain(X0,X1,X3))
      | ~ subset(identity_relation_of(X2),X3)
      | ~ ilf_type(X3,relation_type(X0,X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f146,f140]) ).

fof(f146,plain,
    ! [X2,X3,X0,X1] :
      ( subset(X2,domain(X0,X1,X3))
      | ~ subset(identity_relation_of(X2),X3)
      | ~ ilf_type(X3,relation_type(X0,X1))
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( subset(X2,range(X0,X1,X3))
                    & subset(X2,domain(X0,X1,X3)) )
                  | ~ subset(identity_relation_of(X2),X3)
                  | ~ ilf_type(X3,relation_type(X0,X1)) )
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f50]) ).

fof(f50,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( subset(X2,range(X0,X1,X3))
                    & subset(X2,domain(X0,X1,X3)) )
                  | ~ subset(identity_relation_of(X2),X3)
                  | ~ ilf_type(X3,relation_type(X0,X1)) )
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,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,set_type)
             => ! [X3] :
                  ( ilf_type(X3,relation_type(X0,X1))
                 => ( subset(identity_relation_of(X2),X3)
                   => ( subset(X2,range(X0,X1,X3))
                      & subset(X2,domain(X0,X1,X3)) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.A3v3Xjnvb6/Vampire---4.8_8041',p2) ).

fof(f1877,plain,
    subset(domain_of(sK2),sK1),
    inference(duplicate_literal_removal,[],[f1865]) ).

fof(f1865,plain,
    ( subset(domain_of(sK2),sK1)
    | subset(domain_of(sK2),sK1) ),
    inference(resolution,[],[f1713,f224]) ).

fof(f224,plain,
    ! [X0,X1] :
      ( member(sK9(X0,X1),X0)
      | subset(X0,X1) ),
    inference(subsumption_resolution,[],[f223,f140]) ).

fof(f223,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | member(sK9(X0,X1),X0)
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f157,f140]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | member(sK9(X0,X1),X0)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( subset(X0,X1)
              | ( ~ member(sK9(X0,X1),X1)
                & member(sK9(X0,X1),X0)
                & ilf_type(sK9(X0,X1),set_type) ) )
            & ( ! [X3] :
                  ( member(X3,X1)
                  | ~ member(X3,X0)
                  | ~ ilf_type(X3,set_type) )
              | ~ subset(X0,X1) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f99,f100]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ member(X2,X1)
          & member(X2,X0)
          & ilf_type(X2,set_type) )
     => ( ~ member(sK9(X0,X1),X1)
        & member(sK9(X0,X1),X0)
        & ilf_type(sK9(X0,X1),set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f99,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( subset(X0,X1)
              | ? [X2] :
                  ( ~ member(X2,X1)
                  & member(X2,X0)
                  & ilf_type(X2,set_type) ) )
            & ( ! [X3] :
                  ( member(X3,X1)
                  | ~ member(X3,X0)
                  | ~ ilf_type(X3,set_type) )
              | ~ subset(X0,X1) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(rectify,[],[f98]) ).

fof(f98,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( subset(X0,X1)
              | ? [X2] :
                  ( ~ member(X2,X1)
                  & member(X2,X0)
                  & ilf_type(X2,set_type) ) )
            & ( ! [X2] :
                  ( member(X2,X1)
                  | ~ member(X2,X0)
                  | ~ ilf_type(X2,set_type) )
              | ~ subset(X0,X1) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( subset(X0,X1)
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f56]) ).

fof(f56,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( subset(X0,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,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( subset(X0,X1)
          <=> ! [X2] :
                ( ilf_type(X2,set_type)
               => ( member(X2,X0)
                 => member(X2,X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.A3v3Xjnvb6/Vampire---4.8_8041',p7) ).

fof(f1713,plain,
    ! [X0] :
      ( ~ member(sK9(X0,sK1),domain_of(sK2))
      | subset(X0,sK1) ),
    inference(resolution,[],[f1700,f227]) ).

fof(f227,plain,
    ! [X0,X1] :
      ( ~ member(sK9(X0,X1),X1)
      | subset(X0,X1) ),
    inference(subsumption_resolution,[],[f226,f140]) ).

fof(f226,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ member(sK9(X0,X1),X1)
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f158,f140]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ member(sK9(X0,X1),X1)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f1700,plain,
    ! [X0] :
      ( member(X0,sK1)
      | ~ member(X0,domain_of(sK2)) ),
    inference(resolution,[],[f743,f122]) ).

fof(f743,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ilf_type(X0,relation_type(X1,X2))
      | ~ member(X3,domain_of(X0))
      | member(X3,X1) ),
    inference(resolution,[],[f557,f409]) ).

fof(f409,plain,
    ! [X3,X0,X1] :
      ( ~ member(X0,power_set(X1))
      | ~ member(X3,X0)
      | member(X3,X1) ),
    inference(subsumption_resolution,[],[f408,f140]) ).

fof(f408,plain,
    ! [X3,X0,X1] :
      ( member(X3,X1)
      | ~ member(X3,X0)
      | ~ member(X0,power_set(X1))
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f407,f140]) ).

fof(f407,plain,
    ! [X3,X0,X1] :
      ( member(X3,X1)
      | ~ member(X3,X0)
      | ~ member(X0,power_set(X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f167,f140]) ).

fof(f167,plain,
    ! [X3,X0,X1] :
      ( member(X3,X1)
      | ~ member(X3,X0)
      | ~ ilf_type(X3,set_type)
      | ~ member(X0,power_set(X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( member(X0,power_set(X1))
              | ( ~ member(sK11(X0,X1),X1)
                & member(sK11(X0,X1),X0)
                & ilf_type(sK11(X0,X1),set_type) ) )
            & ( ! [X3] :
                  ( member(X3,X1)
                  | ~ member(X3,X0)
                  | ~ ilf_type(X3,set_type) )
              | ~ member(X0,power_set(X1)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f108,f109]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ member(X2,X1)
          & member(X2,X0)
          & ilf_type(X2,set_type) )
     => ( ~ member(sK11(X0,X1),X1)
        & member(sK11(X0,X1),X0)
        & ilf_type(sK11(X0,X1),set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f108,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( member(X0,power_set(X1))
              | ? [X2] :
                  ( ~ member(X2,X1)
                  & member(X2,X0)
                  & ilf_type(X2,set_type) ) )
            & ( ! [X3] :
                  ( member(X3,X1)
                  | ~ member(X3,X0)
                  | ~ ilf_type(X3,set_type) )
              | ~ member(X0,power_set(X1)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(rectify,[],[f107]) ).

fof(f107,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( member(X0,power_set(X1))
              | ? [X2] :
                  ( ~ member(X2,X1)
                  & member(X2,X0)
                  & ilf_type(X2,set_type) ) )
            & ( ! [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(nnf_transformation,[],[f65]) ).

fof(f65,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(flattening,[],[f64]) ).

fof(f64,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,[],[f20]) ).

fof(f20,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/tmp/tmp.A3v3Xjnvb6/Vampire---4.8_8041',p20) ).

fof(f557,plain,
    ! [X2,X0,X1] :
      ( member(domain_of(X0),power_set(X1))
      | ~ ilf_type(X0,relation_type(X1,X2)) ),
    inference(resolution,[],[f366,f276]) ).

fof(f276,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,subset_type(X1))
      | member(X0,power_set(X1)) ),
    inference(subsumption_resolution,[],[f275,f203]) ).

fof(f203,plain,
    ! [X0] : ~ empty(power_set(X0)),
    inference(subsumption_resolution,[],[f183,f140]) ).

fof(f183,plain,
    ! [X0] :
      ( ~ empty(power_set(X0))
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( ( ilf_type(power_set(X0),set_type)
        & ~ empty(power_set(X0)) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( ilf_type(power_set(X0),set_type)
        & ~ empty(power_set(X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.A3v3Xjnvb6/Vampire---4.8_8041',p21) ).

fof(f275,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,subset_type(X1))
      | member(X0,power_set(X1))
      | empty(power_set(X1)) ),
    inference(resolution,[],[f273,f250]) ).

fof(f250,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,member_type(X1))
      | member(X0,X1)
      | empty(X1) ),
    inference(subsumption_resolution,[],[f249,f140]) ).

fof(f249,plain,
    ! [X0,X1] :
      ( member(X0,X1)
      | ~ ilf_type(X0,member_type(X1))
      | empty(X1)
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f165,f140]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( member(X0,X1)
      | ~ ilf_type(X0,member_type(X1))
      | ~ ilf_type(X1,set_type)
      | empty(X1)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ilf_type(X0,member_type(X1))
              | ~ member(X0,X1) )
            & ( member(X0,X1)
              | ~ ilf_type(X0,member_type(X1)) ) )
          | ~ ilf_type(X1,set_type)
          | empty(X1) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f63]) ).

fof(f63,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(flattening,[],[f62]) ).

fof(f62,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,[],[f22]) ).

fof(f22,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/tmp/tmp.A3v3Xjnvb6/Vampire---4.8_8041',p22) ).

fof(f273,plain,
    ! [X0,X1] :
      ( ilf_type(X1,member_type(power_set(X0)))
      | ~ ilf_type(X1,subset_type(X0)) ),
    inference(subsumption_resolution,[],[f272,f140]) ).

fof(f272,plain,
    ! [X0,X1] :
      ( ilf_type(X1,member_type(power_set(X0)))
      | ~ ilf_type(X1,subset_type(X0))
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f178,f140]) ).

fof(f178,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(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ilf_type(X1,subset_type(X0))
              | ~ ilf_type(X1,member_type(power_set(X0))) )
            & ( 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(nnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( 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(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ilf_type(X1,subset_type(X0))
          <=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.A3v3Xjnvb6/Vampire---4.8_8041',p16) ).

fof(f366,plain,
    ! [X2,X0,X1] :
      ( ilf_type(domain_of(X2),subset_type(X0))
      | ~ ilf_type(X2,relation_type(X0,X1)) ),
    inference(duplicate_literal_removal,[],[f365]) ).

fof(f365,plain,
    ! [X2,X0,X1] :
      ( ilf_type(domain_of(X2),subset_type(X0))
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X2,relation_type(X0,X1)) ),
    inference(superposition,[],[f360,f327]) ).

fof(f360,plain,
    ! [X2,X0,X1] :
      ( ilf_type(domain(X0,X1,X2),subset_type(X0))
      | ~ ilf_type(X2,relation_type(X0,X1)) ),
    inference(subsumption_resolution,[],[f359,f140]) ).

fof(f359,plain,
    ! [X2,X0,X1] :
      ( ilf_type(domain(X0,X1,X2),subset_type(X0))
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f142,f140]) ).

fof(f142,plain,
    ! [X2,X0,X1] :
      ( 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(cnf_transformation,[],[f47]) ).

fof(f47,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,[],[f29]) ).

fof(f29,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/sandbox2/tmp/tmp.A3v3Xjnvb6/Vampire---4.8_8041',p29) ).

fof(f493,plain,
    spl15_2,
    inference(avatar_split_clause,[],[f491,f197]) ).

fof(f197,plain,
    ( spl15_2
  <=> subset(sK1,range(sK1,sK0,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).

fof(f491,plain,
    subset(sK1,range(sK1,sK0,sK2)),
    inference(resolution,[],[f476,f122]) ).

fof(f476,plain,
    ! [X0,X1] :
      ( ~ ilf_type(sK2,relation_type(X0,X1))
      | subset(sK1,range(X0,X1,sK2)) ),
    inference(resolution,[],[f472,f123]) ).

fof(f472,plain,
    ! [X2,X3,X0,X1] :
      ( ~ subset(identity_relation_of(X2),X3)
      | subset(X2,range(X0,X1,X3))
      | ~ ilf_type(X3,relation_type(X0,X1)) ),
    inference(subsumption_resolution,[],[f471,f140]) ).

fof(f471,plain,
    ! [X2,X3,X0,X1] :
      ( subset(X2,range(X0,X1,X3))
      | ~ subset(identity_relation_of(X2),X3)
      | ~ ilf_type(X3,relation_type(X0,X1))
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f470,f140]) ).

fof(f470,plain,
    ! [X2,X3,X0,X1] :
      ( subset(X2,range(X0,X1,X3))
      | ~ subset(identity_relation_of(X2),X3)
      | ~ ilf_type(X3,relation_type(X0,X1))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(subsumption_resolution,[],[f147,f140]) ).

fof(f147,plain,
    ! [X2,X3,X0,X1] :
      ( subset(X2,range(X0,X1,X3))
      | ~ subset(identity_relation_of(X2),X3)
      | ~ ilf_type(X3,relation_type(X0,X1))
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f200,plain,
    ( ~ spl15_1
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f124,f197,f193]) ).

fof(f124,plain,
    ( ~ subset(sK1,range(sK1,sK0,sK2))
    | sK1 != domain(sK1,sK0,sK2) ),
    inference(cnf_transformation,[],[f80]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem    : SET668+3 : TPTP v8.1.2. Released v2.2.0.
% 0.04/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.31  % Computer : n006.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Fri May  3 16:39:08 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.11/0.31  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.31  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.A3v3Xjnvb6/Vampire---4.8_8041
% 0.60/0.80  % (8151)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.80  % (8154)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.80  % (8153)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80  % (8152)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.60/0.80  % (8156)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.80  % (8157)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.60/0.80  % (8158)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.80  % (8155)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.80  % (8156)Refutation not found, incomplete strategy% (8156)------------------------------
% 0.60/0.80  % (8156)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (8156)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (8156)Memory used [KB]: 1072
% 0.60/0.80  % (8156)Time elapsed: 0.004 s
% 0.60/0.80  % (8156)Instructions burned: 5 (million)
% 0.60/0.80  % (8156)------------------------------
% 0.60/0.80  % (8156)------------------------------
% 0.60/0.80  % (8159)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.60/0.81  % (8154)Instruction limit reached!
% 0.60/0.81  % (8154)------------------------------
% 0.60/0.81  % (8154)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (8154)Termination reason: Unknown
% 0.60/0.81  % (8154)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (8154)Memory used [KB]: 1453
% 0.60/0.81  % (8154)Time elapsed: 0.017 s
% 0.60/0.81  % (8154)Instructions burned: 33 (million)
% 0.60/0.81  % (8154)------------------------------
% 0.60/0.81  % (8154)------------------------------
% 0.60/0.81  % (8151)Instruction limit reached!
% 0.60/0.81  % (8151)------------------------------
% 0.60/0.81  % (8151)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (8151)Termination reason: Unknown
% 0.60/0.81  % (8151)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (8151)Memory used [KB]: 1253
% 0.60/0.81  % (8151)Time elapsed: 0.019 s
% 0.60/0.81  % (8151)Instructions burned: 35 (million)
% 0.60/0.81  % (8151)------------------------------
% 0.60/0.81  % (8151)------------------------------
% 0.60/0.81  % (8155)Instruction limit reached!
% 0.60/0.81  % (8155)------------------------------
% 0.60/0.81  % (8155)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (8155)Termination reason: Unknown
% 0.60/0.81  % (8155)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (8155)Memory used [KB]: 1285
% 0.60/0.81  % (8155)Time elapsed: 0.017 s
% 0.60/0.81  % (8155)Instructions burned: 35 (million)
% 0.60/0.81  % (8155)------------------------------
% 0.60/0.81  % (8155)------------------------------
% 0.60/0.81  % (8160)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.82  % (8161)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.82  % (8162)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.60/0.82  % (8158)Instruction limit reached!
% 0.60/0.82  % (8158)------------------------------
% 0.60/0.82  % (8158)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (8158)Termination reason: Unknown
% 0.60/0.82  % (8158)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (8158)Memory used [KB]: 1296
% 0.60/0.82  % (8158)Time elapsed: 0.024 s
% 0.60/0.82  % (8158)Instructions burned: 58 (million)
% 0.60/0.82  % (8158)------------------------------
% 0.60/0.82  % (8158)------------------------------
% 0.60/0.82  % (8163)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.60/0.82  % (8152)Instruction limit reached!
% 0.60/0.82  % (8152)------------------------------
% 0.60/0.82  % (8152)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (8152)Termination reason: Unknown
% 0.60/0.82  % (8152)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (8152)Memory used [KB]: 1682
% 0.60/0.82  % (8152)Time elapsed: 0.031 s
% 0.60/0.82  % (8152)Instructions burned: 51 (million)
% 0.60/0.82  % (8152)------------------------------
% 0.60/0.82  % (8152)------------------------------
% 0.60/0.83  % (8163)Refutation not found, incomplete strategy% (8163)------------------------------
% 0.60/0.83  % (8163)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (8163)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (8163)Memory used [KB]: 1129
% 0.60/0.83  % (8163)Time elapsed: 0.005 s
% 0.60/0.83  % (8163)Instructions burned: 6 (million)
% 0.60/0.83  % (8163)------------------------------
% 0.60/0.83  % (8163)------------------------------
% 0.60/0.83  % (8164)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2994ds/42Mi)
% 0.60/0.83  % (8165)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2994ds/243Mi)
% 0.60/0.83  % (8159)Instruction limit reached!
% 0.60/0.83  % (8159)------------------------------
% 0.60/0.83  % (8159)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (8159)Termination reason: Unknown
% 0.60/0.83  % (8159)Termination phase: Saturation
% 0.60/0.83  
% 0.60/0.83  % (8159)Memory used [KB]: 1745
% 0.60/0.83  % (8159)Time elapsed: 0.029 s
% 0.60/0.83  % (8159)Instructions burned: 55 (million)
% 0.60/0.83  % (8159)------------------------------
% 0.60/0.83  % (8159)------------------------------
% 0.78/0.83  % (8164)Refutation not found, incomplete strategy% (8164)------------------------------
% 0.78/0.83  % (8164)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.83  % (8164)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.83  
% 0.78/0.83  % (8164)Memory used [KB]: 1116
% 0.78/0.83  % (8164)Time elapsed: 0.004 s
% 0.78/0.83  % (8164)Instructions burned: 6 (million)
% 0.78/0.83  % (8164)------------------------------
% 0.78/0.83  % (8164)------------------------------
% 0.78/0.83  % (8166)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2994ds/117Mi)
% 0.78/0.83  % (8167)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2994ds/143Mi)
% 0.78/0.84  % (8160)Instruction limit reached!
% 0.78/0.84  % (8160)------------------------------
% 0.78/0.84  % (8160)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.84  % (8160)Termination reason: Unknown
% 0.78/0.84  % (8160)Termination phase: Saturation
% 0.78/0.84  
% 0.78/0.84  % (8160)Memory used [KB]: 1551
% 0.78/0.84  % (8160)Time elapsed: 0.026 s
% 0.78/0.84  % (8160)Instructions burned: 50 (million)
% 0.78/0.84  % (8160)------------------------------
% 0.78/0.84  % (8160)------------------------------
% 0.78/0.84  % (8153)Instruction limit reached!
% 0.78/0.84  % (8153)------------------------------
% 0.78/0.84  % (8153)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.84  % (8153)Termination reason: Unknown
% 0.78/0.84  % (8153)Termination phase: Saturation
% 0.78/0.84  
% 0.78/0.84  % (8153)Memory used [KB]: 1828
% 0.78/0.84  % (8153)Time elapsed: 0.045 s
% 0.78/0.84  % (8153)Instructions burned: 79 (million)
% 0.78/0.84  % (8153)------------------------------
% 0.78/0.84  % (8153)------------------------------
% 0.78/0.84  % (8157)Instruction limit reached!
% 0.78/0.84  % (8157)------------------------------
% 0.78/0.84  % (8157)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.84  % (8157)Termination reason: Unknown
% 0.78/0.84  % (8157)Termination phase: Saturation
% 0.78/0.84  
% 0.78/0.84  % (8157)Memory used [KB]: 1843
% 0.78/0.84  % (8157)Time elapsed: 0.046 s
% 0.78/0.84  % (8157)Instructions burned: 83 (million)
% 0.78/0.84  % (8157)------------------------------
% 0.78/0.84  % (8157)------------------------------
% 0.78/0.84  % (8168)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2994ds/93Mi)
% 0.78/0.84  % (8169)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2994ds/62Mi)
% 0.78/0.84  % (8170)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2994ds/32Mi)
% 0.78/0.84  % (8162)Instruction limit reached!
% 0.78/0.84  % (8162)------------------------------
% 0.78/0.84  % (8162)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.84  % (8162)Termination reason: Unknown
% 0.78/0.84  % (8162)Termination phase: Saturation
% 0.78/0.84  
% 0.78/0.84  % (8162)Memory used [KB]: 1491
% 0.78/0.84  % (8162)Time elapsed: 0.030 s
% 0.78/0.84  % (8162)Instructions burned: 53 (million)
% 0.78/0.84  % (8162)------------------------------
% 0.78/0.84  % (8162)------------------------------
% 0.78/0.85  % (8171)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2994ds/1919Mi)
% 0.78/0.86  % (8170)Instruction limit reached!
% 0.78/0.86  % (8170)------------------------------
% 0.78/0.86  % (8170)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.86  % (8170)Termination reason: Unknown
% 0.78/0.86  % (8170)Termination phase: Saturation
% 0.78/0.86  
% 0.78/0.86  % (8170)Memory used [KB]: 1309
% 0.78/0.86  % (8170)Time elapsed: 0.020 s
% 0.78/0.86  % (8170)Instructions burned: 33 (million)
% 0.78/0.86  % (8170)------------------------------
% 0.78/0.86  % (8170)------------------------------
% 0.96/0.87  % (8172)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2994ds/55Mi)
% 0.96/0.87  % (8169)Instruction limit reached!
% 0.96/0.87  % (8169)------------------------------
% 0.96/0.87  % (8169)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.87  % (8169)Termination reason: Unknown
% 0.96/0.87  % (8169)Termination phase: Saturation
% 0.96/0.87  
% 0.96/0.87  % (8169)Memory used [KB]: 1718
% 0.96/0.87  % (8169)Time elapsed: 0.034 s
% 0.96/0.87  % (8169)Instructions burned: 62 (million)
% 0.96/0.87  % (8169)------------------------------
% 0.96/0.87  % (8169)------------------------------
% 0.96/0.88  % (8173)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2994ds/53Mi)
% 0.96/0.88  % (8173)Refutation not found, incomplete strategy% (8173)------------------------------
% 0.96/0.88  % (8173)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.88  % (8173)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.88  
% 0.96/0.88  % (8173)Memory used [KB]: 1130
% 0.96/0.88  % (8173)Time elapsed: 0.006 s
% 0.96/0.88  % (8173)Instructions burned: 8 (million)
% 0.96/0.88  % (8173)------------------------------
% 0.96/0.88  % (8173)------------------------------
% 0.96/0.89  % (8174)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2994ds/46Mi)
% 0.96/0.89  % (8166)Instruction limit reached!
% 0.96/0.89  % (8166)------------------------------
% 0.96/0.89  % (8166)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.89  % (8166)Termination reason: Unknown
% 0.96/0.89  % (8166)Termination phase: Saturation
% 0.96/0.89  
% 0.96/0.89  % (8166)Memory used [KB]: 2196
% 0.96/0.89  % (8166)Time elapsed: 0.063 s
% 0.96/0.89  % (8166)Instructions burned: 117 (million)
% 0.96/0.89  % (8166)------------------------------
% 0.96/0.89  % (8166)------------------------------
% 0.96/0.89  % (8172)Instruction limit reached!
% 0.96/0.89  % (8172)------------------------------
% 0.96/0.89  % (8172)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.89  % (8172)Termination reason: Unknown
% 0.96/0.89  % (8172)Termination phase: Saturation
% 0.96/0.89  
% 0.96/0.89  % (8172)Memory used [KB]: 1657
% 0.96/0.89  % (8172)Time elapsed: 0.031 s
% 0.96/0.89  % (8172)Instructions burned: 56 (million)
% 0.96/0.89  % (8172)------------------------------
% 0.96/0.89  % (8172)------------------------------
% 0.96/0.90  % (8168)Instruction limit reached!
% 0.96/0.90  % (8168)------------------------------
% 0.96/0.90  % (8168)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.90  % (8168)Termination reason: Unknown
% 0.96/0.90  % (8168)Termination phase: Saturation
% 0.96/0.90  
% 0.96/0.90  % (8168)Memory used [KB]: 1852
% 0.96/0.90  % (8168)Time elapsed: 0.056 s
% 0.96/0.90  % (8168)Instructions burned: 94 (million)
% 0.96/0.90  % (8168)------------------------------
% 0.96/0.90  % (8168)------------------------------
% 0.96/0.90  % (8175)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2994ds/102Mi)
% 0.96/0.90  % (8176)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2994ds/35Mi)
% 0.96/0.90  % (8177)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2994ds/87Mi)
% 0.96/0.90  % (8167)Instruction limit reached!
% 0.96/0.90  % (8167)------------------------------
% 0.96/0.90  % (8167)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.90  % (8167)Termination reason: Unknown
% 0.96/0.90  % (8167)Termination phase: Saturation
% 0.96/0.90  
% 0.96/0.90  % (8167)Memory used [KB]: 1866
% 0.96/0.90  % (8167)Time elapsed: 0.071 s
% 0.96/0.90  % (8167)Instructions burned: 143 (million)
% 0.96/0.90  % (8167)------------------------------
% 0.96/0.90  % (8167)------------------------------
% 0.96/0.91  % (8178)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2994ds/109Mi)
% 0.96/0.91  % (8171)First to succeed.
% 0.96/0.91  % (8171)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8150"
% 0.96/0.91  % (8174)Instruction limit reached!
% 0.96/0.91  % (8174)------------------------------
% 0.96/0.91  % (8174)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.91  % (8174)Termination reason: Unknown
% 0.96/0.91  % (8174)Termination phase: Saturation
% 0.96/0.91  
% 0.96/0.91  % (8174)Memory used [KB]: 2002
% 0.96/0.91  % (8174)Time elapsed: 0.028 s
% 0.96/0.91  % (8174)Instructions burned: 46 (million)
% 0.96/0.91  % (8174)------------------------------
% 0.96/0.91  % (8174)------------------------------
% 0.96/0.91  % (8171)Refutation found. Thanks to Tanya!
% 0.96/0.91  % SZS status Theorem for Vampire---4
% 0.96/0.91  % SZS output start Proof for Vampire---4
% See solution above
% 0.96/0.91  % (8171)------------------------------
% 0.96/0.91  % (8171)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.91  % (8171)Termination reason: Refutation
% 0.96/0.91  
% 0.96/0.91  % (8171)Memory used [KB]: 1793
% 0.96/0.91  % (8171)Time elapsed: 0.066 s
% 0.96/0.91  % (8171)Instructions burned: 111 (million)
% 0.96/0.91  % (8150)Success in time 0.584 s
% 0.96/0.91  % Vampire---4.8 exiting
%------------------------------------------------------------------------------