TSTP Solution File: SET684+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET684+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 : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 03:48:37 EDT 2024

% Result   : Theorem 0.62s 0.83s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  136 (  21 unt;   0 def)
%            Number of atoms       :  514 (  18 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  668 ( 290   ~; 268   |;  47   &)
%                                         (  16 <=>;  45  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   20 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   6 prp; 0-2 aty)
%            Number of functors    :   27 (  27 usr;  17 con; 0-5 aty)
%            Number of variables   :  253 ( 233   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1050,plain,
    $false,
    inference(avatar_sat_refutation,[],[f157,f162,f649,f686,f936,f1048]) ).

fof(f1048,plain,
    ( ~ spl30_1
    | ~ spl30_22
    | ~ spl30_23 ),
    inference(avatar_contradiction_clause,[],[f1047]) ).

fof(f1047,plain,
    ( $false
    | ~ spl30_1
    | ~ spl30_22
    | ~ spl30_23 ),
    inference(subsumption_resolution,[],[f1046,f152]) ).

fof(f152,plain,
    ( member(sF24,sF25)
    | ~ spl30_1 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f150,plain,
    ( spl30_1
  <=> member(sF24,sF25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl30_1])]) ).

fof(f1046,plain,
    ( ~ member(sF24,sF25)
    | ~ spl30_1
    | ~ spl30_22
    | ~ spl30_23 ),
    inference(forward_demodulation,[],[f1045,f137]) ).

fof(f137,plain,
    ordered_pair(sK5,sK6) = sF24,
    introduced(function_definition,[new_symbols(definition,[sF24])]) ).

fof(f1045,plain,
    ( ~ member(ordered_pair(sK5,sK6),sF25)
    | ~ spl30_1
    | ~ spl30_22
    | ~ spl30_23 ),
    inference(forward_demodulation,[],[f1044,f352]) ).

fof(f352,plain,
    sF25 = compose(sK3,sK4),
    inference(subsumption_resolution,[],[f351,f167]) ).

fof(f167,plain,
    ilf_type(sK3,relation_type(sK0,sK1)),
    inference(backward_demodulation,[],[f129,f128]) ).

fof(f128,plain,
    relation_type(sK0,sK1) = sF19,
    introduced(function_definition,[new_symbols(definition,[sF19])]) ).

fof(f129,plain,
    ilf_type(sK3,sF19),
    inference(definition_folding,[],[f72,f128]) ).

fof(f72,plain,
    ilf_type(sK3,relation_type(sK0,sK1)),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( ( member(ordered_pair(X5,X6),compose5(X0,X1,X2,X3,X4))
                              <~> ? [X7] :
                                    ( member(ordered_pair(X7,X6),X4)
                                    & member(ordered_pair(X5,X7),X3)
                                    & ilf_type(X7,member_type(X1)) ) )
                              & ilf_type(X6,member_type(X2)) )
                          & ilf_type(X5,member_type(X0)) )
                      & ilf_type(X4,relation_type(X1,X2)) )
                  & ilf_type(X3,relation_type(X0,X1)) )
              & ilf_type(X2,set_type)
              & ~ empty(X2) )
          & ilf_type(X1,set_type)
          & ~ empty(X1) )
      & ilf_type(X0,set_type)
      & ~ empty(X0) ),
    inference(flattening,[],[f33]) ).

fof(f33,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( ( member(ordered_pair(X5,X6),compose5(X0,X1,X2,X3,X4))
                              <~> ? [X7] :
                                    ( member(ordered_pair(X7,X6),X4)
                                    & member(ordered_pair(X5,X7),X3)
                                    & ilf_type(X7,member_type(X1)) ) )
                              & ilf_type(X6,member_type(X2)) )
                          & ilf_type(X5,member_type(X0)) )
                      & ilf_type(X4,relation_type(X1,X2)) )
                  & ilf_type(X3,relation_type(X0,X1)) )
              & ilf_type(X2,set_type)
              & ~ empty(X2) )
          & ilf_type(X1,set_type)
          & ~ empty(X1) )
      & ilf_type(X0,set_type)
      & ~ empty(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,negated_conjecture,
    ~ ! [X0] :
        ( ( ilf_type(X0,set_type)
          & ~ empty(X0) )
       => ! [X1] :
            ( ( ilf_type(X1,set_type)
              & ~ empty(X1) )
           => ! [X2] :
                ( ( ilf_type(X2,set_type)
                  & ~ empty(X2) )
               => ! [X3] :
                    ( ilf_type(X3,relation_type(X0,X1))
                   => ! [X4] :
                        ( ilf_type(X4,relation_type(X1,X2))
                       => ! [X5] :
                            ( ilf_type(X5,member_type(X0))
                           => ! [X6] :
                                ( ilf_type(X6,member_type(X2))
                               => ( member(ordered_pair(X5,X6),compose5(X0,X1,X2,X3,X4))
                                <=> ? [X7] :
                                      ( member(ordered_pair(X7,X6),X4)
                                      & member(ordered_pair(X5,X7),X3)
                                      & ilf_type(X7,member_type(X1)) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f30]) ).

fof(f30,conjecture,
    ! [X0] :
      ( ( ilf_type(X0,set_type)
        & ~ empty(X0) )
     => ! [X1] :
          ( ( ilf_type(X1,set_type)
            & ~ empty(X1) )
         => ! [X2] :
              ( ( ilf_type(X2,set_type)
                & ~ empty(X2) )
             => ! [X3] :
                  ( ilf_type(X3,relation_type(X0,X1))
                 => ! [X4] :
                      ( ilf_type(X4,relation_type(X1,X2))
                     => ! [X5] :
                          ( ilf_type(X5,member_type(X0))
                         => ! [X6] :
                              ( ilf_type(X6,member_type(X2))
                             => ( member(ordered_pair(X5,X6),compose5(X0,X1,X2,X3,X4))
                              <=> ? [X7] :
                                    ( member(ordered_pair(X7,X6),X4)
                                    & member(ordered_pair(X5,X7),X3)
                                    & ilf_type(X7,member_type(X1)) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.9Qzt3ouY0W/Vampire---4.8_28446',prove_relset_1_51) ).

fof(f351,plain,
    ( sF25 = compose(sK3,sK4)
    | ~ ilf_type(sK3,relation_type(sK0,sK1)) ),
    inference(subsumption_resolution,[],[f349,f168]) ).

fof(f168,plain,
    ilf_type(sK4,relation_type(sK1,sK2)),
    inference(backward_demodulation,[],[f131,f130]) ).

fof(f130,plain,
    relation_type(sK1,sK2) = sF20,
    introduced(function_definition,[new_symbols(definition,[sF20])]) ).

fof(f131,plain,
    ilf_type(sK4,sF20),
    inference(definition_folding,[],[f71,f130]) ).

fof(f71,plain,
    ilf_type(sK4,relation_type(sK1,sK2)),
    inference(cnf_transformation,[],[f34]) ).

fof(f349,plain,
    ( sF25 = compose(sK3,sK4)
    | ~ ilf_type(sK4,relation_type(sK1,sK2))
    | ~ ilf_type(sK3,relation_type(sK0,sK1)) ),
    inference(superposition,[],[f343,f138]) ).

fof(f138,plain,
    compose5(sK0,sK1,sK2,sK3,sK4) = sF25,
    introduced(function_definition,[new_symbols(definition,[sF25])]) ).

fof(f343,plain,
    ! [X2,X3,X0,X1,X4] :
      ( compose5(X0,X1,X2,X3,X4) = compose(X3,X4)
      | ~ ilf_type(X4,relation_type(X1,X2))
      | ~ ilf_type(X3,relation_type(X0,X1)) ),
    inference(subsumption_resolution,[],[f342,f79]) ).

fof(f79,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,axiom,
    ! [X0] : ilf_type(X0,set_type),
    file('/export/starexec/sandbox2/tmp/tmp.9Qzt3ouY0W/Vampire---4.8_28446',p29) ).

fof(f342,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ilf_type(X2,set_type)
      | ~ ilf_type(X3,relation_type(X0,X1))
      | ~ ilf_type(X4,relation_type(X1,X2))
      | compose5(X0,X1,X2,X3,X4) = compose(X3,X4) ),
    inference(subsumption_resolution,[],[f341,f79]) ).

fof(f341,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X3,relation_type(X0,X1))
      | ~ ilf_type(X4,relation_type(X1,X2))
      | compose5(X0,X1,X2,X3,X4) = compose(X3,X4) ),
    inference(subsumption_resolution,[],[f108,f79]) ).

fof(f108,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X3,relation_type(X0,X1))
      | ~ ilf_type(X4,relation_type(X1,X2))
      | compose5(X0,X1,X2,X3,X4) = compose(X3,X4) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( compose5(X0,X1,X2,X3,X4) = compose(X3,X4)
                      | ~ ilf_type(X4,relation_type(X1,X2)) )
                  | ~ 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,[],[f27]) ).

fof(f27,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))
                 => ! [X4] :
                      ( ilf_type(X4,relation_type(X1,X2))
                     => compose5(X0,X1,X2,X3,X4) = compose(X3,X4) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.9Qzt3ouY0W/Vampire---4.8_28446',p27) ).

fof(f1044,plain,
    ( ~ member(ordered_pair(sK5,sK6),compose(sK3,sK4))
    | ~ spl30_1
    | ~ spl30_22
    | ~ spl30_23 ),
    inference(subsumption_resolution,[],[f1043,f559]) ).

fof(f559,plain,
    ( ilf_type(sK3,binary_relation_type)
    | ~ spl30_22 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f558,plain,
    ( spl30_22
  <=> ilf_type(sK3,binary_relation_type) ),
    introduced(avatar_definition,[new_symbols(naming,[spl30_22])]) ).

fof(f1043,plain,
    ( ~ member(ordered_pair(sK5,sK6),compose(sK3,sK4))
    | ~ ilf_type(sK3,binary_relation_type)
    | ~ spl30_1
    | ~ spl30_22
    | ~ spl30_23 ),
    inference(subsumption_resolution,[],[f1042,f563]) ).

fof(f563,plain,
    ( ilf_type(sK4,binary_relation_type)
    | ~ spl30_23 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f562,plain,
    ( spl30_23
  <=> ilf_type(sK4,binary_relation_type) ),
    introduced(avatar_definition,[new_symbols(naming,[spl30_23])]) ).

fof(f1042,plain,
    ( ~ ilf_type(sK4,binary_relation_type)
    | ~ member(ordered_pair(sK5,sK6),compose(sK3,sK4))
    | ~ ilf_type(sK3,binary_relation_type)
    | ~ spl30_1
    | ~ spl30_22 ),
    inference(duplicate_literal_removal,[],[f1039]) ).

fof(f1039,plain,
    ( ~ ilf_type(sK4,binary_relation_type)
    | ~ member(ordered_pair(sK5,sK6),compose(sK3,sK4))
    | ~ ilf_type(sK4,binary_relation_type)
    | ~ ilf_type(sK3,binary_relation_type)
    | ~ member(ordered_pair(sK5,sK6),compose(sK3,sK4))
    | ~ spl30_1
    | ~ spl30_22 ),
    inference(resolution,[],[f941,f322]) ).

fof(f322,plain,
    ! [X2,X3,X0,X1] :
      ( member(ordered_pair(sK13(X0,X1,X2,X3),X1),X3)
      | ~ ilf_type(X3,binary_relation_type)
      | ~ ilf_type(X2,binary_relation_type)
      | ~ member(ordered_pair(X0,X1),compose(X2,X3)) ),
    inference(subsumption_resolution,[],[f321,f79]) ).

fof(f321,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,binary_relation_type)
      | ~ ilf_type(X3,binary_relation_type)
      | member(ordered_pair(sK13(X0,X1,X2,X3),X1),X3)
      | ~ member(ordered_pair(X0,X1),compose(X2,X3)) ),
    inference(subsumption_resolution,[],[f101,f79]) ).

fof(f101,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,binary_relation_type)
      | ~ ilf_type(X3,binary_relation_type)
      | member(ordered_pair(sK13(X0,X1,X2,X3),X1),X3)
      | ~ member(ordered_pair(X0,X1),compose(X2,X3)) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( member(ordered_pair(X0,X1),compose(X2,X3))
                  <=> ? [X4] :
                        ( member(ordered_pair(X4,X1),X3)
                        & member(ordered_pair(X0,X4),X2)
                        & ilf_type(X4,set_type) ) )
                  | ~ ilf_type(X3,binary_relation_type) )
              | ~ ilf_type(X2,binary_relation_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,binary_relation_type)
             => ! [X3] :
                  ( ilf_type(X3,binary_relation_type)
                 => ( member(ordered_pair(X0,X1),compose(X2,X3))
                  <=> ? [X4] :
                        ( member(ordered_pair(X4,X1),X3)
                        & member(ordered_pair(X0,X4),X2)
                        & ilf_type(X4,set_type) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.9Qzt3ouY0W/Vampire---4.8_28446',p1) ).

fof(f941,plain,
    ( ! [X0,X1] :
        ( ~ member(ordered_pair(sK13(sK5,X0,sK3,X1),sK6),sK4)
        | ~ ilf_type(X1,binary_relation_type)
        | ~ member(ordered_pair(sK5,X0),compose(sK3,X1)) )
    | ~ spl30_1
    | ~ spl30_22 ),
    inference(subsumption_resolution,[],[f577,f559]) ).

fof(f577,plain,
    ( ! [X0,X1] :
        ( ~ member(ordered_pair(sK13(sK5,X0,sK3,X1),sK6),sK4)
        | ~ ilf_type(X1,binary_relation_type)
        | ~ ilf_type(sK3,binary_relation_type)
        | ~ member(ordered_pair(sK5,X0),compose(sK3,X1)) )
    | ~ spl30_1 ),
    inference(resolution,[],[f454,f311]) ).

fof(f311,plain,
    ! [X2,X3,X0,X1] :
      ( member(ordered_pair(X0,sK13(X0,X1,X2,X3)),X2)
      | ~ ilf_type(X3,binary_relation_type)
      | ~ ilf_type(X2,binary_relation_type)
      | ~ member(ordered_pair(X0,X1),compose(X2,X3)) ),
    inference(subsumption_resolution,[],[f310,f79]) ).

fof(f310,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,binary_relation_type)
      | ~ ilf_type(X3,binary_relation_type)
      | member(ordered_pair(X0,sK13(X0,X1,X2,X3)),X2)
      | ~ member(ordered_pair(X0,X1),compose(X2,X3)) ),
    inference(subsumption_resolution,[],[f100,f79]) ).

fof(f100,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,binary_relation_type)
      | ~ ilf_type(X3,binary_relation_type)
      | member(ordered_pair(X0,sK13(X0,X1,X2,X3)),X2)
      | ~ member(ordered_pair(X0,X1),compose(X2,X3)) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f454,plain,
    ( ! [X0] :
        ( ~ member(ordered_pair(sK5,X0),sK3)
        | ~ member(ordered_pair(X0,sK6),sK4) )
    | ~ spl30_1 ),
    inference(subsumption_resolution,[],[f200,f300]) ).

fof(f300,plain,
    ! [X0,X1] :
      ( member(X0,sK1)
      | ~ member(ordered_pair(X0,X1),sK4) ),
    inference(resolution,[],[f297,f168]) ).

fof(f297,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ilf_type(X4,relation_type(X0,X1))
      | ~ member(ordered_pair(X2,X3),X4)
      | member(X2,X0) ),
    inference(subsumption_resolution,[],[f296,f79]) ).

fof(f296,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ilf_type(X3,set_type)
      | ~ ilf_type(X4,relation_type(X0,X1))
      | ~ member(ordered_pair(X2,X3),X4)
      | member(X2,X0) ),
    inference(subsumption_resolution,[],[f295,f79]) ).

fof(f295,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ilf_type(X2,set_type)
      | ~ ilf_type(X3,set_type)
      | ~ ilf_type(X4,relation_type(X0,X1))
      | ~ member(ordered_pair(X2,X3),X4)
      | member(X2,X0) ),
    inference(subsumption_resolution,[],[f294,f79]) ).

fof(f294,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X3,set_type)
      | ~ ilf_type(X4,relation_type(X0,X1))
      | ~ member(ordered_pair(X2,X3),X4)
      | member(X2,X0) ),
    inference(subsumption_resolution,[],[f96,f79]) ).

fof(f96,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,set_type)
      | ~ ilf_type(X3,set_type)
      | ~ ilf_type(X4,relation_type(X0,X1))
      | ~ member(ordered_pair(X2,X3),X4)
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ( member(X3,X1)
                        & member(X2,X0) )
                      | ~ member(ordered_pair(X2,X3),X4)
                      | ~ ilf_type(X4,relation_type(X0,X1)) )
                  | ~ ilf_type(X3,set_type) )
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ( member(X3,X1)
                        & member(X2,X0) )
                      | ~ member(ordered_pair(X2,X3),X4)
                      | ~ ilf_type(X4,relation_type(X0,X1)) )
                  | ~ ilf_type(X3,set_type) )
              | ~ 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,set_type)
                 => ! [X4] :
                      ( ilf_type(X4,relation_type(X0,X1))
                     => ( member(ordered_pair(X2,X3),X4)
                       => ( member(X3,X1)
                          & member(X2,X0) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.9Qzt3ouY0W/Vampire---4.8_28446',p2) ).

fof(f200,plain,
    ( ! [X0] :
        ( ~ member(ordered_pair(sK5,X0),sK3)
        | ~ member(X0,sK1)
        | ~ member(ordered_pair(X0,sK6),sK4) )
    | ~ spl30_1 ),
    inference(resolution,[],[f199,f172]) ).

fof(f172,plain,
    ( ! [X7] :
        ( ~ ilf_type(X7,member_type(sK1))
        | ~ member(ordered_pair(sK5,X7),sK3)
        | ~ member(ordered_pair(X7,sK6),sK4) )
    | ~ spl30_1 ),
    inference(backward_demodulation,[],[f171,f145]) ).

fof(f145,plain,
    ! [X7] : ordered_pair(X7,sK6) = sF29(X7),
    introduced(function_definition,[new_symbols(definition,[sF29])]) ).

fof(f171,plain,
    ( ! [X7] :
        ( ~ member(sF29(X7),sK4)
        | ~ member(ordered_pair(sK5,X7),sK3)
        | ~ ilf_type(X7,member_type(sK1)) )
    | ~ spl30_1 ),
    inference(backward_demodulation,[],[f166,f144]) ).

fof(f144,plain,
    ! [X7] : ordered_pair(sK5,X7) = sF28(X7),
    introduced(function_definition,[new_symbols(definition,[sF28])]) ).

fof(f166,plain,
    ( ! [X7] :
        ( ~ member(sF29(X7),sK4)
        | ~ ilf_type(X7,member_type(sK1))
        | ~ member(sF28(X7),sK3) )
    | ~ spl30_1 ),
    inference(backward_demodulation,[],[f163,f142]) ).

fof(f142,plain,
    member_type(sK1) = sF27,
    introduced(function_definition,[new_symbols(definition,[sF27])]) ).

fof(f163,plain,
    ( ! [X7] :
        ( ~ member(sF29(X7),sK4)
        | ~ member(sF28(X7),sK3)
        | ~ ilf_type(X7,sF27) )
    | ~ spl30_1 ),
    inference(subsumption_resolution,[],[f146,f152]) ).

fof(f146,plain,
    ! [X7] :
      ( ~ ilf_type(X7,sF27)
      | ~ member(sF28(X7),sK3)
      | ~ member(sF29(X7),sK4)
      | ~ member(sF24,sF25) ),
    inference(definition_folding,[],[f65,f138,f137,f145,f144,f142]) ).

fof(f65,plain,
    ! [X7] :
      ( ~ ilf_type(X7,member_type(sK1))
      | ~ member(ordered_pair(sK5,X7),sK3)
      | ~ member(ordered_pair(X7,sK6),sK4)
      | ~ member(ordered_pair(sK5,sK6),compose5(sK0,sK1,sK2,sK3,sK4)) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( ilf_type(X0,member_type(X1))
      | ~ member(X0,X1) ),
    inference(subsumption_resolution,[],[f198,f183]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | ~ member(X1,X0) ),
    inference(subsumption_resolution,[],[f182,f79]) ).

fof(f182,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | ~ member(X1,X0)
      | ~ empty(X0) ),
    inference(subsumption_resolution,[],[f91,f79]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ member(X1,X0)
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( ( empty(X0)
      <=> ! [X1] :
            ( ~ member(X1,X0)
            | ~ ilf_type(X1,set_type) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( empty(X0)
      <=> ! [X1] :
            ( ilf_type(X1,set_type)
           => ~ member(X1,X0) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.9Qzt3ouY0W/Vampire---4.8_28446',p9) ).

fof(f198,plain,
    ! [X0,X1] :
      ( empty(X1)
      | ~ member(X0,X1)
      | ilf_type(X0,member_type(X1)) ),
    inference(subsumption_resolution,[],[f197,f79]) ).

fof(f197,plain,
    ! [X0,X1] :
      ( empty(X1)
      | ~ ilf_type(X1,set_type)
      | ~ member(X0,X1)
      | ilf_type(X0,member_type(X1)) ),
    inference(subsumption_resolution,[],[f94,f79]) ).

fof(f94,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,[],[f40]) ).

fof(f40,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,[],[f39]) ).

fof(f39,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,[],[f7]) ).

fof(f7,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.9Qzt3ouY0W/Vampire---4.8_28446',p7) ).

fof(f936,plain,
    ( spl30_1
    | ~ spl30_2
    | ~ spl30_3
    | ~ spl30_22
    | ~ spl30_23 ),
    inference(avatar_contradiction_clause,[],[f935]) ).

fof(f935,plain,
    ( $false
    | spl30_1
    | ~ spl30_2
    | ~ spl30_3
    | ~ spl30_22
    | ~ spl30_23 ),
    inference(subsumption_resolution,[],[f930,f169]) ).

fof(f169,plain,
    ( member(ordered_pair(sK7,sK6),sK4)
    | ~ spl30_2 ),
    inference(backward_demodulation,[],[f156,f136]) ).

fof(f136,plain,
    ordered_pair(sK7,sK6) = sF23,
    introduced(function_definition,[new_symbols(definition,[sF23])]) ).

fof(f156,plain,
    ( member(sF23,sK4)
    | ~ spl30_2 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f154,plain,
    ( spl30_2
  <=> member(sF23,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl30_2])]) ).

fof(f930,plain,
    ( ~ member(ordered_pair(sK7,sK6),sK4)
    | spl30_1
    | ~ spl30_3
    | ~ spl30_22
    | ~ spl30_23 ),
    inference(resolution,[],[f929,f250]) ).

fof(f250,plain,
    ( member(ordered_pair(sK5,sK7),sK3)
    | ~ spl30_3 ),
    inference(forward_demodulation,[],[f161,f140]) ).

fof(f140,plain,
    ordered_pair(sK5,sK7) = sF26,
    introduced(function_definition,[new_symbols(definition,[sF26])]) ).

fof(f161,plain,
    ( member(sF26,sK3)
    | ~ spl30_3 ),
    inference(avatar_component_clause,[],[f159]) ).

fof(f159,plain,
    ( spl30_3
  <=> member(sF26,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl30_3])]) ).

fof(f929,plain,
    ( ! [X0] :
        ( ~ member(ordered_pair(sK5,X0),sK3)
        | ~ member(ordered_pair(X0,sK6),sK4) )
    | spl30_1
    | ~ spl30_22
    | ~ spl30_23 ),
    inference(subsumption_resolution,[],[f928,f559]) ).

fof(f928,plain,
    ( ! [X0] :
        ( ~ member(ordered_pair(sK5,X0),sK3)
        | ~ member(ordered_pair(X0,sK6),sK4)
        | ~ ilf_type(sK3,binary_relation_type) )
    | spl30_1
    | ~ spl30_23 ),
    inference(subsumption_resolution,[],[f927,f563]) ).

fof(f927,plain,
    ( ! [X0] :
        ( ~ ilf_type(sK4,binary_relation_type)
        | ~ member(ordered_pair(sK5,X0),sK3)
        | ~ member(ordered_pair(X0,sK6),sK4)
        | ~ ilf_type(sK3,binary_relation_type) )
    | spl30_1 ),
    inference(subsumption_resolution,[],[f511,f151]) ).

fof(f151,plain,
    ( ~ member(sF24,sF25)
    | spl30_1 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f511,plain,
    ! [X0] :
      ( member(sF24,sF25)
      | ~ ilf_type(sK4,binary_relation_type)
      | ~ member(ordered_pair(sK5,X0),sK3)
      | ~ member(ordered_pair(X0,sK6),sK4)
      | ~ ilf_type(sK3,binary_relation_type) ),
    inference(superposition,[],[f362,f352]) ).

fof(f362,plain,
    ! [X2,X0,X1] :
      ( member(sF24,compose(X0,X1))
      | ~ ilf_type(X1,binary_relation_type)
      | ~ member(ordered_pair(sK5,X2),X0)
      | ~ member(ordered_pair(X2,sK6),X1)
      | ~ ilf_type(X0,binary_relation_type) ),
    inference(superposition,[],[f361,f137]) ).

fof(f361,plain,
    ! [X2,X3,X0,X1,X4] :
      ( member(ordered_pair(X0,X1),compose(X2,X3))
      | ~ ilf_type(X3,binary_relation_type)
      | ~ member(ordered_pair(X0,X4),X2)
      | ~ member(ordered_pair(X4,X1),X3)
      | ~ ilf_type(X2,binary_relation_type) ),
    inference(subsumption_resolution,[],[f360,f79]) ).

fof(f360,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ilf_type(X2,binary_relation_type)
      | ~ ilf_type(X3,binary_relation_type)
      | ~ ilf_type(X4,set_type)
      | ~ member(ordered_pair(X0,X4),X2)
      | ~ member(ordered_pair(X4,X1),X3)
      | member(ordered_pair(X0,X1),compose(X2,X3)) ),
    inference(subsumption_resolution,[],[f359,f79]) ).

fof(f359,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,binary_relation_type)
      | ~ ilf_type(X3,binary_relation_type)
      | ~ ilf_type(X4,set_type)
      | ~ member(ordered_pair(X0,X4),X2)
      | ~ member(ordered_pair(X4,X1),X3)
      | member(ordered_pair(X0,X1),compose(X2,X3)) ),
    inference(subsumption_resolution,[],[f102,f79]) ).

fof(f102,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,binary_relation_type)
      | ~ ilf_type(X3,binary_relation_type)
      | ~ ilf_type(X4,set_type)
      | ~ member(ordered_pair(X0,X4),X2)
      | ~ member(ordered_pair(X4,X1),X3)
      | member(ordered_pair(X0,X1),compose(X2,X3)) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f686,plain,
    spl30_23,
    inference(avatar_contradiction_clause,[],[f684]) ).

fof(f684,plain,
    ( $false
    | spl30_23 ),
    inference(subsumption_resolution,[],[f168,f682]) ).

fof(f682,plain,
    ( ! [X0,X1] : ~ ilf_type(sK4,relation_type(X0,X1))
    | spl30_23 ),
    inference(resolution,[],[f659,f273]) ).

fof(f273,plain,
    ! [X2,X0,X1] :
      ( ilf_type(X2,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X2,relation_type(X0,X1)) ),
    inference(subsumption_resolution,[],[f272,f79]) ).

fof(f272,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,[],[f110,f79]) ).

fof(f110,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,[],[f53]) ).

fof(f53,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,[],[f32]) ).

fof(f32,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,[],[f5]) ).

fof(f5,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/tmp/tmp.9Qzt3ouY0W/Vampire---4.8_28446',p5) ).

fof(f659,plain,
    ( ! [X0,X1] : ~ ilf_type(sK4,subset_type(cross_product(X0,X1)))
    | spl30_23 ),
    inference(resolution,[],[f657,f196]) ).

fof(f196,plain,
    ! [X2,X0,X1] :
      ( relation_like(X2)
      | ~ ilf_type(X2,subset_type(cross_product(X0,X1))) ),
    inference(subsumption_resolution,[],[f195,f79]) ).

fof(f195,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
      | relation_like(X2) ),
    inference(subsumption_resolution,[],[f115,f79]) ).

fof(f115,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,[],[f58]) ).

fof(f58,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,[],[f26]) ).

fof(f26,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/tmp/tmp.9Qzt3ouY0W/Vampire---4.8_28446',p26) ).

fof(f657,plain,
    ( ~ relation_like(sK4)
    | spl30_23 ),
    inference(resolution,[],[f564,f175]) ).

fof(f175,plain,
    ! [X0] :
      ( ilf_type(X0,binary_relation_type)
      | ~ relation_like(X0) ),
    inference(subsumption_resolution,[],[f117,f79]) ).

fof(f117,plain,
    ! [X0] :
      ( ~ relation_like(X0)
      | ~ ilf_type(X0,set_type)
      | ilf_type(X0,binary_relation_type) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,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/tmp/tmp.9Qzt3ouY0W/Vampire---4.8_28446',p15) ).

fof(f564,plain,
    ( ~ ilf_type(sK4,binary_relation_type)
    | spl30_23 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f649,plain,
    spl30_22,
    inference(avatar_contradiction_clause,[],[f647]) ).

fof(f647,plain,
    ( $false
    | spl30_22 ),
    inference(subsumption_resolution,[],[f167,f645]) ).

fof(f645,plain,
    ( ! [X0,X1] : ~ ilf_type(sK3,relation_type(X0,X1))
    | spl30_22 ),
    inference(resolution,[],[f572,f273]) ).

fof(f572,plain,
    ( ! [X0,X1] : ~ ilf_type(sK3,subset_type(cross_product(X0,X1)))
    | spl30_22 ),
    inference(resolution,[],[f570,f196]) ).

fof(f570,plain,
    ( ~ relation_like(sK3)
    | spl30_22 ),
    inference(resolution,[],[f560,f175]) ).

fof(f560,plain,
    ( ~ ilf_type(sK3,binary_relation_type)
    | spl30_22 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f162,plain,
    ( spl30_1
    | spl30_3 ),
    inference(avatar_split_clause,[],[f141,f159,f150]) ).

fof(f141,plain,
    ( member(sF26,sK3)
    | member(sF24,sF25) ),
    inference(definition_folding,[],[f67,f138,f137,f140]) ).

fof(f67,plain,
    ( member(ordered_pair(sK5,sK7),sK3)
    | member(ordered_pair(sK5,sK6),compose5(sK0,sK1,sK2,sK3,sK4)) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f157,plain,
    ( spl30_1
    | spl30_2 ),
    inference(avatar_split_clause,[],[f139,f154,f150]) ).

fof(f139,plain,
    ( member(sF23,sK4)
    | member(sF24,sF25) ),
    inference(definition_folding,[],[f68,f138,f137,f136]) ).

fof(f68,plain,
    ( member(ordered_pair(sK7,sK6),sK4)
    | member(ordered_pair(sK5,sK6),compose5(sK0,sK1,sK2,sK3,sK4)) ),
    inference(cnf_transformation,[],[f34]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SET684+3 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.15  % 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
% 0.14/0.36  % Computer : n002.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 17:39:25 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.37  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.9Qzt3ouY0W/Vampire---4.8_28446
% 0.56/0.74  % (28660)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.75  % (28662)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 (2996ds/56Mi)
% 0.56/0.75  % (28655)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 (2996ds/34Mi)
% 0.56/0.75  % (28658)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.75  % (28656)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 (2996ds/51Mi)
% 0.56/0.75  % (28657)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75  % (28659)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 (2996ds/34Mi)
% 0.56/0.75  % (28661)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 (2996ds/83Mi)
% 0.56/0.75  % (28660)Refutation not found, incomplete strategy% (28660)------------------------------
% 0.56/0.75  % (28660)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (28660)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (28660)Memory used [KB]: 1117
% 0.56/0.75  % (28660)Time elapsed: 0.003 s
% 0.56/0.75  % (28660)Instructions burned: 6 (million)
% 0.56/0.75  % (28660)------------------------------
% 0.56/0.75  % (28660)------------------------------
% 0.56/0.75  % (28666)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 (2996ds/55Mi)
% 0.56/0.76  % (28662)Instruction limit reached!
% 0.56/0.76  % (28662)------------------------------
% 0.56/0.76  % (28662)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76  % (28662)Termination reason: Unknown
% 0.56/0.76  % (28662)Termination phase: Saturation
% 0.56/0.76  
% 0.56/0.76  % (28662)Memory used [KB]: 1795
% 0.56/0.76  % (28662)Time elapsed: 0.018 s
% 0.56/0.76  % (28662)Instructions burned: 56 (million)
% 0.56/0.76  % (28662)------------------------------
% 0.56/0.76  % (28662)------------------------------
% 0.56/0.76  % (28669)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 (2996ds/50Mi)
% 0.62/0.77  % (28655)Instruction limit reached!
% 0.62/0.77  % (28655)------------------------------
% 0.62/0.77  % (28655)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.77  % (28655)Termination reason: Unknown
% 0.62/0.77  % (28655)Termination phase: Saturation
% 0.62/0.77  
% 0.62/0.77  % (28655)Memory used [KB]: 1348
% 0.62/0.77  % (28655)Time elapsed: 0.021 s
% 0.62/0.77  % (28655)Instructions burned: 35 (million)
% 0.62/0.77  % (28655)------------------------------
% 0.62/0.77  % (28655)------------------------------
% 0.62/0.77  % (28658)Instruction limit reached!
% 0.62/0.77  % (28658)------------------------------
% 0.62/0.77  % (28658)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.77  % (28658)Termination reason: Unknown
% 0.62/0.77  % (28658)Termination phase: Saturation
% 0.62/0.77  
% 0.62/0.77  % (28658)Memory used [KB]: 1551
% 0.62/0.77  % (28658)Time elapsed: 0.021 s
% 0.62/0.77  % (28658)Instructions burned: 33 (million)
% 0.62/0.77  % (28658)------------------------------
% 0.62/0.77  % (28658)------------------------------
% 0.62/0.77  % (28659)Instruction limit reached!
% 0.62/0.77  % (28659)------------------------------
% 0.62/0.77  % (28659)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.77  % (28659)Termination reason: Unknown
% 0.62/0.77  % (28659)Termination phase: Saturation
% 0.62/0.77  
% 0.62/0.77  % (28659)Memory used [KB]: 1629
% 0.62/0.77  % (28659)Time elapsed: 0.021 s
% 0.62/0.77  % (28659)Instructions burned: 35 (million)
% 0.62/0.77  % (28659)------------------------------
% 0.62/0.77  % (28659)------------------------------
% 0.62/0.77  % (28666)Instruction limit reached!
% 0.62/0.77  % (28666)------------------------------
% 0.62/0.77  % (28666)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.77  % (28666)Termination reason: Unknown
% 0.62/0.77  % (28666)Termination phase: Saturation
% 0.62/0.77  
% 0.62/0.77  % (28666)Memory used [KB]: 1870
% 0.62/0.77  % (28666)Time elapsed: 0.017 s
% 0.62/0.77  % (28666)Instructions burned: 57 (million)
% 0.62/0.77  % (28666)------------------------------
% 0.62/0.77  % (28666)------------------------------
% 0.62/0.77  % (28675)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 (2996ds/42Mi)
% 0.62/0.77  % (28672)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 (2996ds/208Mi)
% 0.62/0.77  % (28673)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 (2996ds/52Mi)
% 0.62/0.77  % (28674)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 (2996ds/518Mi)
% 0.62/0.78  % (28674)Refutation not found, incomplete strategy% (28674)------------------------------
% 0.62/0.78  % (28674)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78  % (28674)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.78  
% 0.62/0.78  % (28674)Memory used [KB]: 1132
% 0.62/0.78  % (28674)Time elapsed: 0.007 s
% 0.62/0.78  % (28674)Instructions burned: 9 (million)
% 0.62/0.78  % (28674)------------------------------
% 0.62/0.78  % (28674)------------------------------
% 0.62/0.78  % (28675)Instruction limit reached!
% 0.62/0.78  % (28675)------------------------------
% 0.62/0.78  % (28675)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78  % (28675)Termination reason: Unknown
% 0.62/0.78  % (28675)Termination phase: Saturation
% 0.62/0.78  
% 0.62/0.78  % (28675)Memory used [KB]: 1486
% 0.62/0.78  % (28675)Time elapsed: 0.012 s
% 0.62/0.78  % (28675)Instructions burned: 44 (million)
% 0.62/0.78  % (28675)------------------------------
% 0.62/0.78  % (28675)------------------------------
% 0.62/0.78  % (28681)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 (2995ds/243Mi)
% 0.62/0.78  % (28669)Instruction limit reached!
% 0.62/0.78  % (28669)------------------------------
% 0.62/0.78  % (28669)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78  % (28669)Termination reason: Unknown
% 0.62/0.78  % (28669)Termination phase: Saturation
% 0.62/0.78  
% 0.62/0.78  % (28669)Memory used [KB]: 1571
% 0.62/0.78  % (28669)Time elapsed: 0.017 s
% 0.62/0.78  % (28669)Instructions burned: 53 (million)
% 0.62/0.78  % (28669)------------------------------
% 0.62/0.78  % (28669)------------------------------
% 0.62/0.78  % (28656)Instruction limit reached!
% 0.62/0.78  % (28656)------------------------------
% 0.62/0.78  % (28656)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78  % (28656)Termination reason: Unknown
% 0.62/0.78  % (28656)Termination phase: Saturation
% 0.62/0.78  
% 0.62/0.78  % (28656)Memory used [KB]: 1715
% 0.62/0.78  % (28656)Time elapsed: 0.037 s
% 0.62/0.78  % (28656)Instructions burned: 52 (million)
% 0.62/0.78  % (28656)------------------------------
% 0.62/0.78  % (28656)------------------------------
% 0.62/0.78  % (28684)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 (2995ds/117Mi)
% 0.62/0.78  % (28685)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 (2995ds/143Mi)
% 0.62/0.79  % (28687)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 (2995ds/93Mi)
% 0.62/0.79  % (28661)Instruction limit reached!
% 0.62/0.79  % (28661)------------------------------
% 0.62/0.79  % (28661)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79  % (28661)Termination reason: Unknown
% 0.62/0.79  % (28661)Termination phase: Saturation
% 0.62/0.79  
% 0.62/0.79  % (28661)Memory used [KB]: 2092
% 0.62/0.79  % (28661)Time elapsed: 0.048 s
% 0.62/0.79  % (28661)Instructions burned: 84 (million)
% 0.62/0.79  % (28661)------------------------------
% 0.62/0.79  % (28661)------------------------------
% 0.62/0.80  % (28657)Instruction limit reached!
% 0.62/0.80  % (28657)------------------------------
% 0.62/0.80  % (28657)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (28657)Termination reason: Unknown
% 0.62/0.80  % (28657)Termination phase: Saturation
% 0.62/0.80  
% 0.62/0.80  % (28657)Memory used [KB]: 2033
% 0.62/0.80  % (28657)Time elapsed: 0.051 s
% 0.62/0.80  % (28657)Instructions burned: 78 (million)
% 0.62/0.80  % (28657)------------------------------
% 0.62/0.80  % (28657)------------------------------
% 0.62/0.80  % (28692)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 (2995ds/62Mi)
% 0.62/0.80  % (28694)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 (2995ds/32Mi)
% 0.62/0.80  % (28673)Instruction limit reached!
% 0.62/0.80  % (28673)------------------------------
% 0.62/0.80  % (28673)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (28673)Termination reason: Unknown
% 0.62/0.80  % (28673)Termination phase: Saturation
% 0.62/0.80  
% 0.62/0.80  % (28673)Memory used [KB]: 1548
% 0.62/0.80  % (28673)Time elapsed: 0.033 s
% 0.62/0.80  % (28673)Instructions burned: 52 (million)
% 0.62/0.80  % (28673)------------------------------
% 0.62/0.80  % (28673)------------------------------
% 0.62/0.81  % (28696)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 (2995ds/1919Mi)
% 0.62/0.82  % (28684)Instruction limit reached!
% 0.62/0.82  % (28684)------------------------------
% 0.62/0.82  % (28684)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82  % (28684)Termination reason: Unknown
% 0.62/0.82  % (28684)Termination phase: Saturation
% 0.62/0.82  
% 0.62/0.82  % (28684)Memory used [KB]: 2096
% 0.62/0.82  % (28684)Time elapsed: 0.036 s
% 0.62/0.82  % (28684)Instructions burned: 119 (million)
% 0.62/0.82  % (28684)------------------------------
% 0.62/0.82  % (28684)------------------------------
% 0.62/0.82  % (28704)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 (2995ds/55Mi)
% 0.62/0.82  % (28694)Instruction limit reached!
% 0.62/0.82  % (28694)------------------------------
% 0.62/0.82  % (28694)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82  % (28694)Termination reason: Unknown
% 0.62/0.82  % (28694)Termination phase: Saturation
% 0.62/0.82  
% 0.62/0.82  % (28694)Memory used [KB]: 1338
% 0.62/0.82  % (28694)Time elapsed: 0.021 s
% 0.62/0.82  % (28694)Instructions burned: 33 (million)
% 0.62/0.82  % (28694)------------------------------
% 0.62/0.82  % (28694)------------------------------
% 0.62/0.82  % (28681)First to succeed.
% 0.62/0.82  % (28685)Instruction limit reached!
% 0.62/0.82  % (28685)------------------------------
% 0.62/0.82  % (28685)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82  % (28685)Termination reason: Unknown
% 0.62/0.82  % (28685)Termination phase: Saturation
% 0.62/0.82  
% 0.62/0.82  % (28685)Memory used [KB]: 2022
% 0.62/0.82  % (28685)Time elapsed: 0.041 s
% 0.62/0.82  % (28685)Instructions burned: 147 (million)
% 0.62/0.82  % (28685)------------------------------
% 0.62/0.82  % (28685)------------------------------
% 0.62/0.82  % (28705)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 (2995ds/53Mi)
% 0.62/0.83  % (28696)Also succeeded, but the first one will report.
% 0.62/0.83  % (28709)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 (2995ds/46Mi)
% 0.62/0.83  % (28681)Refutation found. Thanks to Tanya!
% 0.62/0.83  % SZS status Theorem for Vampire---4
% 0.62/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.83  % (28681)------------------------------
% 0.62/0.83  % (28681)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83  % (28681)Termination reason: Refutation
% 0.62/0.83  
% 0.62/0.83  % (28681)Memory used [KB]: 1486
% 0.62/0.83  % (28681)Time elapsed: 0.046 s
% 0.62/0.83  % (28681)Instructions burned: 74 (million)
% 0.62/0.83  % (28681)------------------------------
% 0.62/0.83  % (28681)------------------------------
% 0.62/0.83  % (28608)Success in time 0.446 s
% 0.62/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------