TSTP Solution File: SET659+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET659+3 : TPTP v8.2.0. 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 : n009.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 : Tue May 21 03:12:42 EDT 2024

% Result   : Theorem 0.60s 0.85s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  171 (  19 unt;   0 def)
%            Number of atoms       :  559 (  39 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  672 ( 284   ~; 288   |;  23   &)
%                                         (  29 <=>;  46  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  12 prp; 0-2 aty)
%            Number of functors    :   23 (  23 usr;   8 con; 0-3 aty)
%            Number of variables   :  237 ( 225   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f786,plain,
    $false,
    inference(avatar_sat_refutation,[],[f160,f177,f185,f194,f196,f270,f289,f430,f726,f746,f755,f783,f785]) ).

fof(f785,plain,
    ( spl24_18
    | spl24_8
    | ~ spl24_17 ),
    inference(avatar_split_clause,[],[f784,f720,f182,f724]) ).

fof(f724,plain,
    ( spl24_18
  <=> ! [X0] :
        ( ~ member(X0,power_set(sK1))
        | ~ member(sK5(sF22,sK1),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_18])]) ).

fof(f182,plain,
    ( spl24_8
  <=> sK1 = sF22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_8])]) ).

fof(f720,plain,
    ( spl24_17
  <=> member(sK5(sF22,sK1),sF22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_17])]) ).

fof(f784,plain,
    ( ! [X0] :
        ( ~ member(X0,power_set(sK1))
        | ~ member(sK5(sF22,sK1),X0) )
    | spl24_8
    | ~ spl24_17 ),
    inference(subsumption_resolution,[],[f757,f183]) ).

fof(f183,plain,
    ( sK1 != sF22
    | spl24_8 ),
    inference(avatar_component_clause,[],[f182]) ).

fof(f757,plain,
    ( ! [X0] :
        ( ~ member(X0,power_set(sK1))
        | ~ member(sK5(sF22,sK1),X0)
        | sK1 = sF22 )
    | ~ spl24_17 ),
    inference(resolution,[],[f722,f312]) ).

fof(f312,plain,
    ! [X2,X0,X1] :
      ( ~ member(sK5(X0,X1),X0)
      | ~ member(X2,power_set(X1))
      | ~ member(sK5(X0,X1),X2)
      | X0 = X1 ),
    inference(resolution,[],[f311,f286]) ).

fof(f286,plain,
    ! [X0,X1] :
      ( ~ member(sK5(X0,X1),X1)
      | ~ member(sK5(X0,X1),X0)
      | X0 = X1 ),
    inference(subsumption_resolution,[],[f285,f88]) ).

fof(f88,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,axiom,
    ! [X0] : ilf_type(X0,set_type),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34) ).

fof(f285,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | ~ member(sK5(X0,X1),X1)
      | ~ member(sK5(X0,X1),X0)
      | X0 = X1 ),
    inference(subsumption_resolution,[],[f81,f88]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ member(sK5(X0,X1),X1)
      | ~ member(sK5(X0,X1),X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X0 = X1
          <=> ! [X2] :
                ( ( member(X2,X0)
                <=> member(X2,X1) )
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( X0 = X1
          <=> ! [X2] :
                ( ilf_type(X2,set_type)
               => ( member(X2,X0)
                <=> member(X2,X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19) ).

fof(f311,plain,
    ! [X2,X0,X1] :
      ( member(X2,X1)
      | ~ member(X2,X0)
      | ~ member(X0,power_set(X1)) ),
    inference(subsumption_resolution,[],[f310,f88]) ).

fof(f310,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,set_type)
      | ~ member(X2,X0)
      | member(X2,X1)
      | ~ member(X0,power_set(X1)) ),
    inference(subsumption_resolution,[],[f309,f88]) ).

fof(f309,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,set_type)
      | ~ member(X2,X0)
      | member(X2,X1)
      | ~ member(X0,power_set(X1)) ),
    inference(subsumption_resolution,[],[f125,f88]) ).

fof(f125,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,set_type)
      | ~ member(X2,X0)
      | member(X2,X1)
      | ~ member(X0,power_set(X1)) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,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,[],[f68]) ).

fof(f68,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,[],[f22]) ).

fof(f22,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',p22) ).

fof(f722,plain,
    ( member(sK5(sF22,sK1),sF22)
    | ~ spl24_17 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f783,plain,
    ( ~ spl24_17
    | ~ spl24_18 ),
    inference(avatar_contradiction_clause,[],[f782]) ).

fof(f782,plain,
    ( $false
    | ~ spl24_17
    | ~ spl24_18 ),
    inference(subsumption_resolution,[],[f780,f251]) ).

fof(f251,plain,
    ilf_type(sF22,subset_type(sK1)),
    inference(subsumption_resolution,[],[f250,f199]) ).

fof(f199,plain,
    ilf_type(sK2,relation_type(sK1,sK0)),
    inference(backward_demodulation,[],[f140,f139]) ).

fof(f139,plain,
    relation_type(sK1,sK0) = sF20,
    introduced(function_definition,[new_symbols(definition,[sF20])]) ).

fof(f140,plain,
    ilf_type(sK2,sF20),
    inference(definition_folding,[],[f77,f139]) ).

fof(f77,plain,
    ilf_type(sK2,relation_type(sK1,sK0)),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ( ! [X3] :
                    ( ? [X4] :
                        ( member(ordered_pair(X3,X4),X2)
                        & ilf_type(X4,set_type) )
                    | ~ member(X3,X1)
                    | ~ ilf_type(X3,set_type) )
              <~> domain(X1,X0,X2) = X1 )
              & ilf_type(X2,relation_type(X1,X0)) )
          & ilf_type(X1,set_type) )
      & ilf_type(X0,set_type) ),
    inference(flattening,[],[f38]) ).

fof(f38,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ( ! [X3] :
                    ( ? [X4] :
                        ( member(ordered_pair(X3,X4),X2)
                        & ilf_type(X4,set_type) )
                    | ~ member(X3,X1)
                    | ~ ilf_type(X3,set_type) )
              <~> domain(X1,X0,X2) = X1 )
              & ilf_type(X2,relation_type(X1,X0)) )
          & ilf_type(X1,set_type) )
      & ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,negated_conjecture,
    ~ ! [X0] :
        ( ilf_type(X0,set_type)
       => ! [X1] :
            ( ilf_type(X1,set_type)
           => ! [X2] :
                ( ilf_type(X2,relation_type(X1,X0))
               => ( ! [X3] :
                      ( ilf_type(X3,set_type)
                     => ( member(X3,X1)
                       => ? [X4] :
                            ( member(ordered_pair(X3,X4),X2)
                            & ilf_type(X4,set_type) ) ) )
                <=> domain(X1,X0,X2) = X1 ) ) ) ),
    inference(negated_conjecture,[],[f35]) ).

fof(f35,conjecture,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,relation_type(X1,X0))
             => ( ! [X3] :
                    ( ilf_type(X3,set_type)
                   => ( member(X3,X1)
                     => ? [X4] :
                          ( member(ordered_pair(X3,X4),X2)
                          & ilf_type(X4,set_type) ) ) )
              <=> domain(X1,X0,X2) = X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_22) ).

fof(f250,plain,
    ( ilf_type(sF22,subset_type(sK1))
    | ~ ilf_type(sK2,relation_type(sK1,sK0)) ),
    inference(superposition,[],[f249,f143]) ).

fof(f143,plain,
    domain(sK1,sK0,sK2) = sF22,
    introduced(function_definition,[new_symbols(definition,[sF22])]) ).

fof(f249,plain,
    ! [X2,X0,X1] :
      ( ilf_type(domain(X0,X1,X2),subset_type(X0))
      | ~ ilf_type(X2,relation_type(X0,X1)) ),
    inference(subsumption_resolution,[],[f248,f88]) ).

fof(f248,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ilf_type(domain(X0,X1,X2),subset_type(X0)) ),
    inference(subsumption_resolution,[],[f105,f88]) ).

fof(f105,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ilf_type(domain(X0,X1,X2),subset_type(X0)) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,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,[],[f31]) ).

fof(f31,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/benchmark/theBenchmark.p',p31) ).

fof(f780,plain,
    ( ~ ilf_type(sF22,subset_type(sK1))
    | ~ spl24_17
    | ~ spl24_18 ),
    inference(resolution,[],[f763,f228]) ).

fof(f228,plain,
    ! [X0,X1] :
      ( ilf_type(X1,member_type(power_set(X0)))
      | ~ ilf_type(X1,subset_type(X0)) ),
    inference(subsumption_resolution,[],[f227,f88]) ).

fof(f227,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,[],[f122,f88]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ilf_type(X1,member_type(power_set(X0)))
      | ~ ilf_type(X1,subset_type(X0)) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,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,[],[f17]) ).

fof(f17,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/benchmark/theBenchmark.p',p17) ).

fof(f763,plain,
    ( ~ ilf_type(sF22,member_type(power_set(sK1)))
    | ~ spl24_17
    | ~ spl24_18 ),
    inference(subsumption_resolution,[],[f762,f200]) ).

fof(f200,plain,
    ! [X0] : ~ empty(power_set(X0)),
    inference(subsumption_resolution,[],[f111,f88]) ).

fof(f111,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ~ empty(power_set(X0)) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( ( ilf_type(power_set(X0),set_type)
        & ~ empty(power_set(X0)) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( ilf_type(power_set(X0),set_type)
        & ~ empty(power_set(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23) ).

fof(f762,plain,
    ( empty(power_set(sK1))
    | ~ ilf_type(sF22,member_type(power_set(sK1)))
    | ~ spl24_17
    | ~ spl24_18 ),
    inference(resolution,[],[f756,f224]) ).

fof(f224,plain,
    ! [X0,X1] :
      ( member(X0,X1)
      | empty(X1)
      | ~ ilf_type(X0,member_type(X1)) ),
    inference(subsumption_resolution,[],[f223,f88]) ).

fof(f223,plain,
    ! [X0,X1] :
      ( empty(X1)
      | ~ ilf_type(X1,set_type)
      | member(X0,X1)
      | ~ ilf_type(X0,member_type(X1)) ),
    inference(subsumption_resolution,[],[f110,f88]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | empty(X1)
      | ~ ilf_type(X1,set_type)
      | member(X0,X1)
      | ~ ilf_type(X0,member_type(X1)) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,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,[],[f57]) ).

fof(f57,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,[],[f24]) ).

fof(f24,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',p24) ).

fof(f756,plain,
    ( ~ member(sF22,power_set(sK1))
    | ~ spl24_17
    | ~ spl24_18 ),
    inference(resolution,[],[f722,f725]) ).

fof(f725,plain,
    ( ! [X0] :
        ( ~ member(sK5(sF22,sK1),X0)
        | ~ member(X0,power_set(sK1)) )
    | ~ spl24_18 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f755,plain,
    spl24_19,
    inference(avatar_contradiction_clause,[],[f754]) ).

fof(f754,plain,
    ( $false
    | spl24_19 ),
    inference(subsumption_resolution,[],[f751,f745]) ).

fof(f745,plain,
    ( ~ member(sK1,power_set(sK1))
    | spl24_19 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f743,plain,
    ( spl24_19
  <=> member(sK1,power_set(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_19])]) ).

fof(f751,plain,
    ( member(sK1,power_set(sK1))
    | spl24_19 ),
    inference(resolution,[],[f747,f230]) ).

fof(f230,plain,
    ! [X0,X1] :
      ( member(sK16(X0,X1),X0)
      | member(X0,power_set(X1)) ),
    inference(subsumption_resolution,[],[f229,f88]) ).

fof(f229,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | member(sK16(X0,X1),X0)
      | member(X0,power_set(X1)) ),
    inference(subsumption_resolution,[],[f127,f88]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | member(sK16(X0,X1),X0)
      | member(X0,power_set(X1)) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f747,plain,
    ( ~ member(sK16(sK1,sK1),sK1)
    | spl24_19 ),
    inference(resolution,[],[f745,f232]) ).

fof(f232,plain,
    ! [X0,X1] :
      ( member(X0,power_set(X1))
      | ~ member(sK16(X0,X1),X1) ),
    inference(subsumption_resolution,[],[f231,f88]) ).

fof(f231,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | ~ member(sK16(X0,X1),X1)
      | member(X0,power_set(X1)) ),
    inference(subsumption_resolution,[],[f128,f88]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ member(sK16(X0,X1),X1)
      | member(X0,power_set(X1)) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f746,plain,
    ( spl24_17
    | ~ spl24_19
    | spl24_8
    | ~ spl24_18 ),
    inference(avatar_split_clause,[],[f741,f724,f182,f743,f720]) ).

fof(f741,plain,
    ( ~ member(sK1,power_set(sK1))
    | member(sK5(sF22,sK1),sF22)
    | spl24_8
    | ~ spl24_18 ),
    inference(subsumption_resolution,[],[f734,f183]) ).

fof(f734,plain,
    ( ~ member(sK1,power_set(sK1))
    | member(sK5(sF22,sK1),sF22)
    | sK1 = sF22
    | ~ spl24_18 ),
    inference(resolution,[],[f725,f281]) ).

fof(f281,plain,
    ! [X0,X1] :
      ( member(sK5(X0,X1),X1)
      | member(sK5(X0,X1),X0)
      | X0 = X1 ),
    inference(subsumption_resolution,[],[f280,f88]) ).

fof(f280,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | member(sK5(X0,X1),X1)
      | member(sK5(X0,X1),X0)
      | X0 = X1 ),
    inference(subsumption_resolution,[],[f80,f88]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | member(sK5(X0,X1),X1)
      | member(sK5(X0,X1),X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f726,plain,
    ( spl24_17
    | spl24_18
    | ~ spl24_7
    | spl24_8
    | ~ spl24_11 ),
    inference(avatar_split_clause,[],[f718,f268,f182,f179,f724,f720]) ).

fof(f179,plain,
    ( spl24_7
  <=> ! [X3] :
        ( ~ ilf_type(X3,set_type)
        | member(sF23(X3),sK2)
        | ~ member(X3,sK1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_7])]) ).

fof(f268,plain,
    ( spl24_11
  <=> ! [X0,X1] :
        ( member(X0,sF22)
        | ~ member(ordered_pair(X0,X1),sK2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_11])]) ).

fof(f718,plain,
    ( ! [X0] :
        ( ~ member(X0,power_set(sK1))
        | ~ member(sK5(sF22,sK1),X0)
        | member(sK5(sF22,sK1),sF22) )
    | ~ spl24_7
    | spl24_8
    | ~ spl24_11 ),
    inference(subsumption_resolution,[],[f717,f183]) ).

fof(f717,plain,
    ( ! [X0] :
        ( sK1 = sF22
        | ~ member(X0,power_set(sK1))
        | ~ member(sK5(sF22,sK1),X0)
        | member(sK5(sF22,sK1),sF22) )
    | ~ spl24_7
    | ~ spl24_11 ),
    inference(duplicate_literal_removal,[],[f714]) ).

fof(f714,plain,
    ( ! [X0] :
        ( sK1 = sF22
        | ~ member(X0,power_set(sK1))
        | ~ member(sK5(sF22,sK1),X0)
        | member(sK5(sF22,sK1),sF22)
        | sK1 = sF22 )
    | ~ spl24_7
    | ~ spl24_11 ),
    inference(resolution,[],[f628,f281]) ).

fof(f628,plain,
    ( ! [X0,X1] :
        ( ~ member(sK5(sF22,X0),sK1)
        | sF22 = X0
        | ~ member(X1,power_set(X0))
        | ~ member(sK5(sF22,X0),X1) )
    | ~ spl24_7
    | ~ spl24_11 ),
    inference(resolution,[],[f326,f204]) ).

fof(f204,plain,
    ( ! [X3] :
        ( member(ordered_pair(X3,sK4(X3)),sK2)
        | ~ member(X3,sK1) )
    | ~ spl24_7 ),
    inference(backward_demodulation,[],[f197,f144]) ).

fof(f144,plain,
    ! [X3] : ordered_pair(X3,sK4(X3)) = sF23(X3),
    introduced(function_definition,[new_symbols(definition,[sF23])]) ).

fof(f197,plain,
    ( ! [X3] :
        ( member(sF23(X3),sK2)
        | ~ member(X3,sK1) )
    | ~ spl24_7 ),
    inference(subsumption_resolution,[],[f180,f88]) ).

fof(f180,plain,
    ( ! [X3] :
        ( member(sF23(X3),sK2)
        | ~ ilf_type(X3,set_type)
        | ~ member(X3,sK1) )
    | ~ spl24_7 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f326,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(ordered_pair(sK5(sF22,X1),X2),sK2)
        | ~ member(sK5(sF22,X1),X0)
        | sF22 = X1
        | ~ member(X0,power_set(X1)) )
    | ~ spl24_11 ),
    inference(resolution,[],[f312,f269]) ).

fof(f269,plain,
    ( ! [X0,X1] :
        ( member(X0,sF22)
        | ~ member(ordered_pair(X0,X1),sK2) )
    | ~ spl24_11 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f430,plain,
    ( ~ spl24_1
    | ~ spl24_5
    | ~ spl24_8
    | ~ spl24_10 ),
    inference(avatar_contradiction_clause,[],[f429]) ).

fof(f429,plain,
    ( $false
    | ~ spl24_1
    | ~ spl24_5
    | ~ spl24_8
    | ~ spl24_10 ),
    inference(subsumption_resolution,[],[f428,f155]) ).

fof(f155,plain,
    ( member(sK3,sK1)
    | ~ spl24_1 ),
    inference(avatar_component_clause,[],[f153]) ).

fof(f153,plain,
    ( spl24_1
  <=> member(sK3,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_1])]) ).

fof(f428,plain,
    ( ~ member(sK3,sK1)
    | ~ spl24_5
    | ~ spl24_8
    | ~ spl24_10 ),
    inference(forward_demodulation,[],[f427,f412]) ).

fof(f412,plain,
    ( sK1 = domain_of(sK2)
    | ~ spl24_8 ),
    inference(backward_demodulation,[],[f257,f184]) ).

fof(f184,plain,
    ( sK1 = sF22
    | ~ spl24_8 ),
    inference(avatar_component_clause,[],[f182]) ).

fof(f257,plain,
    sF22 = domain_of(sK2),
    inference(subsumption_resolution,[],[f255,f199]) ).

fof(f255,plain,
    ( sF22 = domain_of(sK2)
    | ~ ilf_type(sK2,relation_type(sK1,sK0)) ),
    inference(superposition,[],[f253,f143]) ).

fof(f253,plain,
    ! [X2,X0,X1] :
      ( domain_of(X2) = domain(X0,X1,X2)
      | ~ ilf_type(X2,relation_type(X0,X1)) ),
    inference(subsumption_resolution,[],[f252,f88]) ).

fof(f252,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,relation_type(X0,X1))
      | domain_of(X2) = domain(X0,X1,X2) ),
    inference(subsumption_resolution,[],[f106,f88]) ).

fof(f106,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,relation_type(X0,X1))
      | domain_of(X2) = domain(X0,X1,X2) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( domain_of(X2) = domain(X0,X1,X2)
              | ~ ilf_type(X2,relation_type(X0,X1)) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,relation_type(X0,X1))
             => domain_of(X2) = domain(X0,X1,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p30) ).

fof(f427,plain,
    ( ~ member(sK3,domain_of(sK2))
    | ~ spl24_5
    | ~ spl24_10 ),
    inference(subsumption_resolution,[],[f424,f265]) ).

fof(f265,plain,
    ( ilf_type(sK2,binary_relation_type)
    | ~ spl24_10 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f264,plain,
    ( spl24_10
  <=> ilf_type(sK2,binary_relation_type) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_10])]) ).

fof(f424,plain,
    ( ~ ilf_type(sK2,binary_relation_type)
    | ~ member(sK3,domain_of(sK2))
    | ~ spl24_5 ),
    inference(resolution,[],[f201,f236]) ).

fof(f236,plain,
    ! [X0,X1] :
      ( member(ordered_pair(X1,sK11(X0,X1)),X0)
      | ~ ilf_type(X0,binary_relation_type)
      | ~ member(X1,domain_of(X0)) ),
    inference(subsumption_resolution,[],[f102,f88]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,binary_relation_type)
      | ~ ilf_type(X1,set_type)
      | member(ordered_pair(X1,sK11(X0,X1)),X0)
      | ~ member(X1,domain_of(X0)) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( member(X1,domain_of(X0))
          <=> ? [X2] :
                ( member(ordered_pair(X1,X2),X0)
                & ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,binary_relation_type) ),
    inference(ennf_transformation,[],[f1]) ).

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

fof(f201,plain,
    ( ! [X4] : ~ member(ordered_pair(sK3,X4),sK2)
    | ~ spl24_5 ),
    inference(backward_demodulation,[],[f198,f141]) ).

fof(f141,plain,
    ! [X4] : ordered_pair(sK3,X4) = sF21(X4),
    introduced(function_definition,[new_symbols(definition,[sF21])]) ).

fof(f198,plain,
    ( ! [X4] : ~ member(sF21(X4),sK2)
    | ~ spl24_5 ),
    inference(subsumption_resolution,[],[f172,f88]) ).

fof(f172,plain,
    ( ! [X4] :
        ( ~ member(sF21(X4),sK2)
        | ~ ilf_type(X4,set_type) )
    | ~ spl24_5 ),
    inference(avatar_component_clause,[],[f171]) ).

fof(f171,plain,
    ( spl24_5
  <=> ! [X4] :
        ( ~ ilf_type(X4,set_type)
        | ~ member(sF21(X4),sK2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_5])]) ).

fof(f289,plain,
    spl24_10,
    inference(avatar_contradiction_clause,[],[f287]) ).

fof(f287,plain,
    ( $false
    | spl24_10 ),
    inference(subsumption_resolution,[],[f199,f282]) ).

fof(f282,plain,
    ( ! [X0,X1] : ~ ilf_type(sK2,relation_type(X0,X1))
    | spl24_10 ),
    inference(resolution,[],[f275,f238]) ).

fof(f238,plain,
    ! [X2,X0,X1] :
      ( ilf_type(X2,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X2,relation_type(X0,X1)) ),
    inference(subsumption_resolution,[],[f237,f88]) ).

fof(f237,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ilf_type(X2,subset_type(cross_product(X0,X1))) ),
    inference(subsumption_resolution,[],[f123,f88]) ).

fof(f123,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ilf_type(X2,subset_type(cross_product(X0,X1))) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [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(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ! [X2] :
                ( ilf_type(X2,relation_type(X0,X1))
               => ilf_type(X2,subset_type(cross_product(X0,X1))) )
            & ! [X3] :
                ( ilf_type(X3,subset_type(cross_product(X0,X1)))
               => ilf_type(X3,relation_type(X0,X1)) ) ) ) ),
    inference(rectify,[],[f7]) ).

fof(f7,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',p7) ).

fof(f275,plain,
    ( ! [X0,X1] : ~ ilf_type(sK2,subset_type(cross_product(X0,X1)))
    | spl24_10 ),
    inference(resolution,[],[f271,f219]) ).

fof(f219,plain,
    ! [X2,X0,X1] :
      ( relation_like(X2)
      | ~ ilf_type(X2,subset_type(cross_product(X0,X1))) ),
    inference(subsumption_resolution,[],[f218,f88]) ).

fof(f218,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
      | relation_like(X2) ),
    inference(subsumption_resolution,[],[f113,f88]) ).

fof(f113,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,[],[f60]) ).

fof(f60,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,[],[f27]) ).

fof(f27,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',p27) ).

fof(f271,plain,
    ( ~ relation_like(sK2)
    | spl24_10 ),
    inference(resolution,[],[f266,f209]) ).

fof(f209,plain,
    ! [X0] :
      ( ilf_type(X0,binary_relation_type)
      | ~ relation_like(X0) ),
    inference(subsumption_resolution,[],[f115,f88]) ).

fof(f115,plain,
    ! [X0] :
      ( ~ relation_like(X0)
      | ~ ilf_type(X0,set_type)
      | ilf_type(X0,binary_relation_type) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ( ilf_type(X0,binary_relation_type)
      <=> ( ilf_type(X0,set_type)
          & relation_like(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f15]) ).

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

fof(f266,plain,
    ( ~ ilf_type(sK2,binary_relation_type)
    | spl24_10 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f270,plain,
    ( ~ spl24_10
    | spl24_11 ),
    inference(avatar_split_clause,[],[f259,f268,f264]) ).

fof(f259,plain,
    ! [X0,X1] :
      ( member(X0,sF22)
      | ~ member(ordered_pair(X0,X1),sK2)
      | ~ ilf_type(sK2,binary_relation_type) ),
    inference(superposition,[],[f245,f257]) ).

fof(f245,plain,
    ! [X2,X0,X1] :
      ( member(X0,domain_of(X2))
      | ~ member(ordered_pair(X0,X1),X2)
      | ~ ilf_type(X2,binary_relation_type) ),
    inference(subsumption_resolution,[],[f244,f88]) ).

fof(f244,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,binary_relation_type)
      | ~ member(ordered_pair(X0,X1),X2)
      | member(X0,domain_of(X2)) ),
    inference(subsumption_resolution,[],[f99,f88]) ).

fof(f99,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,binary_relation_type)
      | ~ member(ordered_pair(X0,X1),X2)
      | member(X0,domain_of(X2)) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( member(X1,range_of(X2))
                & member(X0,domain_of(X2)) )
              | ~ member(ordered_pair(X0,X1),X2)
              | ~ ilf_type(X2,binary_relation_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( member(X1,range_of(X2))
                & member(X0,domain_of(X2)) )
              | ~ member(ordered_pair(X0,X1),X2)
              | ~ ilf_type(X2,binary_relation_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,binary_relation_type)
             => ( member(ordered_pair(X0,X1),X2)
               => ( member(X1,range_of(X2))
                  & member(X0,domain_of(X2)) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).

fof(f196,plain,
    ( ~ spl24_6
    | ~ spl24_8 ),
    inference(avatar_split_clause,[],[f192,f182,f174]) ).

fof(f174,plain,
    ( spl24_6
  <=> sP19(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_6])]) ).

fof(f192,plain,
    ( ~ sP19(sK1)
    | ~ spl24_8 ),
    inference(backward_demodulation,[],[f147,f184]) ).

fof(f147,plain,
    ~ sP19(sF22),
    inference(definition_folding,[],[f135,f143]) ).

fof(f135,plain,
    ~ sP19(domain(sK1,sK0,sK2)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP19])]) ).

fof(f194,plain,
    ( ~ spl24_2
    | ~ spl24_8 ),
    inference(avatar_contradiction_clause,[],[f193]) ).

fof(f193,plain,
    ( $false
    | ~ spl24_2
    | ~ spl24_8 ),
    inference(subsumption_resolution,[],[f190,f159]) ).

fof(f159,plain,
    ( sP17(sK1)
    | ~ spl24_2 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f157,plain,
    ( spl24_2
  <=> sP17(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_2])]) ).

fof(f190,plain,
    ( ~ sP17(sK1)
    | ~ spl24_8 ),
    inference(backward_demodulation,[],[f149,f184]) ).

fof(f149,plain,
    ~ sP17(sF22),
    inference(definition_folding,[],[f131,f143]) ).

fof(f131,plain,
    ~ sP17(domain(sK1,sK0,sK2)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP17])]) ).

fof(f185,plain,
    ( spl24_7
    | spl24_8 ),
    inference(avatar_split_clause,[],[f145,f182,f179]) ).

fof(f145,plain,
    ! [X3] :
      ( sK1 = sF22
      | ~ ilf_type(X3,set_type)
      | ~ member(X3,sK1)
      | member(sF23(X3),sK2) ),
    inference(definition_folding,[],[f73,f144,f143]) ).

fof(f73,plain,
    ! [X3] :
      ( sK1 = domain(sK1,sK0,sK2)
      | ~ ilf_type(X3,set_type)
      | ~ member(X3,sK1)
      | member(ordered_pair(X3,sK4(X3)),sK2) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f177,plain,
    ( spl24_5
    | spl24_6 ),
    inference(avatar_split_clause,[],[f142,f174,f171]) ).

fof(f142,plain,
    ! [X4] :
      ( sP19(sK1)
      | ~ ilf_type(X4,set_type)
      | ~ member(sF21(X4),sK2) ),
    inference(definition_folding,[],[f136,f141]) ).

fof(f136,plain,
    ! [X4] :
      ( sP19(sK1)
      | ~ ilf_type(X4,set_type)
      | ~ member(ordered_pair(sK3,X4),sK2) ),
    inference(inequality_splitting,[],[f74,f135]) ).

fof(f74,plain,
    ! [X4] :
      ( sK1 != domain(sK1,sK0,sK2)
      | ~ ilf_type(X4,set_type)
      | ~ member(ordered_pair(sK3,X4),sK2) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f160,plain,
    ( spl24_1
    | spl24_2 ),
    inference(avatar_split_clause,[],[f132,f157,f153]) ).

fof(f132,plain,
    ( sP17(sK1)
    | member(sK3,sK1) ),
    inference(inequality_splitting,[],[f76,f131]) ).

fof(f76,plain,
    ( sK1 != domain(sK1,sK0,sK2)
    | member(sK3,sK1) ),
    inference(cnf_transformation,[],[f39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SET659+3 : TPTP v8.2.0. Released v2.2.0.
% 0.02/0.11  % 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
% 0.10/0.31  % Computer : n009.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon May 20 13:00:08 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.10/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.32  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/benchmark/theBenchmark.p
% 0.60/0.79  % (3170)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 theBenchmark for (2995ds/34Mi)
% 0.60/0.79  % (3168)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.60/0.79  % (3167)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 theBenchmark for (2995ds/51Mi)
% 0.60/0.79  % (3169)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.60/0.79  % (3171)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.60/0.79  % (3172)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 theBenchmark for (2995ds/83Mi)
% 0.60/0.79  % (3173)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.60/0.79  % (3166)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 theBenchmark for (2995ds/34Mi)
% 0.60/0.79  % (3171)Refutation not found, incomplete strategy% (3171)------------------------------
% 0.60/0.79  % (3171)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (3171)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (3171)Memory used [KB]: 1057
% 0.60/0.79  % (3171)Time elapsed: 0.004 s
% 0.60/0.80  % (3171)Instructions burned: 4 (million)
% 0.60/0.80  % (3169)Refutation not found, incomplete strategy% (3169)------------------------------
% 0.60/0.80  % (3169)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (3169)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  % (3171)------------------------------
% 0.60/0.80  % (3171)------------------------------
% 0.60/0.80  
% 0.60/0.80  % (3169)Memory used [KB]: 1067
% 0.60/0.80  % (3169)Time elapsed: 0.005 s
% 0.60/0.80  % (3169)Instructions burned: 4 (million)
% 0.60/0.80  % (3173)Refutation not found, incomplete strategy% (3173)------------------------------
% 0.60/0.80  % (3173)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (3173)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (3173)Memory used [KB]: 1062
% 0.60/0.80  % (3173)Time elapsed: 0.003 s
% 0.60/0.80  % (3173)Instructions burned: 4 (million)
% 0.60/0.80  % (3169)------------------------------
% 0.60/0.80  % (3169)------------------------------
% 0.60/0.80  % (3173)------------------------------
% 0.60/0.80  % (3173)------------------------------
% 0.60/0.80  % (3166)Refutation not found, incomplete strategy% (3166)------------------------------
% 0.60/0.80  % (3166)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (3166)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (3166)Memory used [KB]: 1162
% 0.60/0.80  % (3166)Time elapsed: 0.007 s
% 0.60/0.80  % (3166)Instructions burned: 9 (million)
% 0.60/0.80  % (3166)------------------------------
% 0.60/0.80  % (3166)------------------------------
% 0.60/0.80  % (3174)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 theBenchmark for (2995ds/55Mi)
% 0.60/0.80  % (3175)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 theBenchmark for (2995ds/50Mi)
% 0.60/0.80  % (3176)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.60/0.81  % (3170)Instruction limit reached!
% 0.60/0.81  % (3170)------------------------------
% 0.60/0.81  % (3170)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (3170)Termination reason: Unknown
% 0.60/0.81  % (3170)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (3170)Memory used [KB]: 1493
% 0.60/0.81  % (3170)Time elapsed: 0.016 s
% 0.60/0.81  % (3170)Instructions burned: 34 (million)
% 0.60/0.81  % (3170)------------------------------
% 0.60/0.81  % (3170)------------------------------
% 0.60/0.81  % (3177)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 theBenchmark for (2995ds/52Mi)
% 0.60/0.82  % (3167)Instruction limit reached!
% 0.60/0.82  % (3167)------------------------------
% 0.60/0.82  % (3167)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (3167)Termination reason: Unknown
% 0.60/0.82  % (3167)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (3167)Memory used [KB]: 1595
% 0.60/0.82  % (3167)Time elapsed: 0.029 s
% 0.60/0.82  % (3167)Instructions burned: 52 (million)
% 0.60/0.82  % (3167)------------------------------
% 0.60/0.82  % (3167)------------------------------
% 0.60/0.82  % (3178)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 theBenchmark for (2995ds/518Mi)
% 0.60/0.82  % (3179)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 theBenchmark for (2995ds/42Mi)
% 0.60/0.82  % (3175)Instruction limit reached!
% 0.60/0.82  % (3175)------------------------------
% 0.60/0.82  % (3175)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (3175)Termination reason: Unknown
% 0.60/0.82  % (3175)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (3175)Memory used [KB]: 1563
% 0.60/0.82  % (3175)Time elapsed: 0.026 s
% 0.60/0.82  % (3175)Instructions burned: 50 (million)
% 0.60/0.82  % (3175)------------------------------
% 0.60/0.82  % (3175)------------------------------
% 0.60/0.82  % (3178)Refutation not found, incomplete strategy% (3178)------------------------------
% 0.60/0.82  % (3178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (3178)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (3178)Memory used [KB]: 1148
% 0.60/0.82  % (3178)Time elapsed: 0.003 s
% 0.60/0.82  % (3178)Instructions burned: 8 (million)
% 0.60/0.82  % (3178)------------------------------
% 0.60/0.82  % (3178)------------------------------
% 0.60/0.83  % (3179)Refutation not found, incomplete strategy% (3179)------------------------------
% 0.60/0.83  % (3179)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (3179)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (3179)Memory used [KB]: 1133
% 0.60/0.83  % (3179)Time elapsed: 0.005 s
% 0.60/0.83  % (3179)Instructions burned: 7 (million)
% 0.60/0.83  % (3179)------------------------------
% 0.60/0.83  % (3179)------------------------------
% 0.60/0.83  % (3180)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 theBenchmark for (2995ds/243Mi)
% 0.60/0.83  % (3174)Instruction limit reached!
% 0.60/0.83  % (3174)------------------------------
% 0.60/0.83  % (3174)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (3174)Termination reason: Unknown
% 0.60/0.83  % (3174)Termination phase: Saturation
% 0.60/0.83  
% 0.60/0.83  % (3174)Memory used [KB]: 1711
% 0.60/0.83  % (3174)Time elapsed: 0.030 s
% 0.60/0.83  % (3174)Instructions burned: 55 (million)
% 0.60/0.83  % (3174)------------------------------
% 0.60/0.83  % (3174)------------------------------
% 0.60/0.83  % (3181)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.60/0.83  % (3183)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 theBenchmark for (2994ds/93Mi)
% 0.60/0.83  % (3168)Instruction limit reached!
% 0.60/0.83  % (3168)------------------------------
% 0.60/0.83  % (3168)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (3168)Termination reason: Unknown
% 0.60/0.83  % (3168)Termination phase: Saturation
% 0.60/0.83  
% 0.60/0.83  % (3168)Memory used [KB]: 1928
% 0.60/0.83  % (3168)Time elapsed: 0.041 s
% 0.60/0.83  % (3168)Instructions burned: 78 (million)
% 0.60/0.83  % (3168)------------------------------
% 0.60/0.83  % (3168)------------------------------
% 0.60/0.83  % (3182)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 theBenchmark for (2995ds/143Mi)
% 0.60/0.83  % (3177)Instruction limit reached!
% 0.60/0.83  % (3177)------------------------------
% 0.60/0.83  % (3177)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (3177)Termination reason: Unknown
% 0.60/0.83  % (3177)Termination phase: Saturation
% 0.60/0.83  
% 0.60/0.83  % (3177)Memory used [KB]: 1485
% 0.60/0.83  % (3177)Time elapsed: 0.024 s
% 0.60/0.83  % (3177)Instructions burned: 53 (million)
% 0.60/0.83  % (3177)------------------------------
% 0.60/0.83  % (3177)------------------------------
% 0.60/0.84  % (3172)Instruction limit reached!
% 0.60/0.84  % (3172)------------------------------
% 0.60/0.84  % (3172)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.84  % (3172)Termination reason: Unknown
% 0.60/0.84  % (3172)Termination phase: Saturation
% 0.60/0.84  
% 0.60/0.84  % (3172)Memory used [KB]: 2156
% 0.60/0.84  % (3172)Time elapsed: 0.046 s
% 0.60/0.84  % (3172)Instructions burned: 83 (million)
% 0.60/0.84  % (3172)------------------------------
% 0.60/0.84  % (3172)------------------------------
% 0.60/0.84  % (3184)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 theBenchmark for (2994ds/62Mi)
% 0.60/0.84  % (3185)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 theBenchmark for (2994ds/32Mi)
% 0.60/0.84  % (3180)First to succeed.
% 0.60/0.85  % (3180)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3164"
% 0.60/0.85  % (3180)Refutation found. Thanks to Tanya!
% 0.60/0.85  % SZS status Theorem for theBenchmark
% 0.60/0.85  % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.85  % (3180)------------------------------
% 0.60/0.85  % (3180)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.85  % (3180)Termination reason: Refutation
% 0.60/0.85  
% 0.60/0.85  % (3180)Memory used [KB]: 1461
% 0.60/0.85  % (3180)Time elapsed: 0.020 s
% 0.60/0.85  % (3180)Instructions burned: 62 (million)
% 0.60/0.85  % (3164)Success in time 0.519 s
% 0.60/0.85  % Vampire---4.8 exiting
%------------------------------------------------------------------------------