TSTP Solution File: SEU394+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU394+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 09:23:06 EDT 2024

% Result   : Theorem 1.05s 1.00s
% Output   : Refutation 1.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   63 (  18 unt;   0 def)
%            Number of atoms       :  246 (  21 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  307 ( 124   ~;  98   |;  70   &)
%                                         (   2 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   3 con; 0-3 aty)
%            Number of variables   :   59 (  49   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f738,plain,
    $false,
    inference(resolution,[],[f685,f301]) ).

fof(f301,plain,
    ! [X0] : empty(sK8(X0)),
    inference(cnf_transformation,[],[f249]) ).

fof(f249,plain,
    ! [X0] :
      ( empty(sK8(X0))
      & element(sK8(X0),powerset(X0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f94,f248]) ).

fof(f248,plain,
    ! [X0] :
      ( ? [X1] :
          ( empty(X1)
          & element(X1,powerset(X0)) )
     => ( empty(sK8(X0))
        & element(sK8(X0),powerset(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f94,axiom,
    ! [X0] :
    ? [X1] :
      ( empty(X1)
      & element(X1,powerset(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.OJkZgwXEwR/Vampire---4.8_29017',rc2_subset_1) ).

fof(f685,plain,
    ! [X0] : ~ empty(X0),
    inference(duplicate_literal_removal,[],[f684]) ).

fof(f684,plain,
    ! [X0] :
      ( ~ empty(X0)
      | ~ empty(X0) ),
    inference(superposition,[],[f663,f278]) ).

fof(f278,plain,
    ! [X0] :
      ( empty_set = X0
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f169,plain,
    ! [X0] :
      ( empty_set = X0
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f126]) ).

fof(f126,axiom,
    ! [X0] :
      ( empty(X0)
     => empty_set = X0 ),
    file('/export/starexec/sandbox2/tmp/tmp.OJkZgwXEwR/Vampire---4.8_29017',t6_boole) ).

fof(f663,plain,
    ~ empty(empty_set),
    inference(unit_resulting_resolution,[],[f509,f568,f409]) ).

fof(f409,plain,
    ! [X2,X1] :
      ( ~ in(X2,X1)
      | ~ empty(X2)
      | sP19(X1) ),
    inference(cnf_transformation,[],[f409_D]) ).

fof(f409_D,plain,
    ! [X1] :
      ( ! [X2] :
          ( ~ in(X2,X1)
          | ~ empty(X2) )
    <=> ~ sP19(X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP19])]) ).

fof(f568,plain,
    in(empty_set,sK2),
    inference(subsumption_resolution,[],[f567,f407]) ).

fof(f407,plain,
    sP18(sK2),
    inference(inequality_splitting,[],[f276,f406]) ).

fof(f406,plain,
    ~ sP18(filter_of_net_str(sK1,net_of_bool_filter(sK1,cast_as_carrier_subset(sK1),sK2))),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP18])]) ).

fof(f276,plain,
    sK2 != filter_of_net_str(sK1,net_of_bool_filter(sK1,cast_as_carrier_subset(sK1),sK2)),
    inference(cnf_transformation,[],[f233]) ).

fof(f233,plain,
    ( sK2 != filter_of_net_str(sK1,net_of_bool_filter(sK1,cast_as_carrier_subset(sK1),sK2))
    & element(sK2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK1)))))
    & proper_element(sK2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK1)))))
    & upper_relstr_subset(sK2,boole_POSet(cast_as_carrier_subset(sK1)))
    & filtered_subset(sK2,boole_POSet(cast_as_carrier_subset(sK1)))
    & ~ empty(sK2)
    & one_sorted_str(sK1)
    & ~ empty_carrier(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f167,f232,f231]) ).

fof(f231,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) != X1
            & element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
            & proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
            & upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
            & filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
            & ~ empty(X1) )
        & one_sorted_str(X0)
        & ~ empty_carrier(X0) )
   => ( ? [X1] :
          ( filter_of_net_str(sK1,net_of_bool_filter(sK1,cast_as_carrier_subset(sK1),X1)) != X1
          & element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK1)))))
          & proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK1)))))
          & upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(sK1)))
          & filtered_subset(X1,boole_POSet(cast_as_carrier_subset(sK1)))
          & ~ empty(X1) )
      & one_sorted_str(sK1)
      & ~ empty_carrier(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f232,plain,
    ( ? [X1] :
        ( filter_of_net_str(sK1,net_of_bool_filter(sK1,cast_as_carrier_subset(sK1),X1)) != X1
        & element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK1)))))
        & proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK1)))))
        & upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(sK1)))
        & filtered_subset(X1,boole_POSet(cast_as_carrier_subset(sK1)))
        & ~ empty(X1) )
   => ( sK2 != filter_of_net_str(sK1,net_of_bool_filter(sK1,cast_as_carrier_subset(sK1),sK2))
      & element(sK2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK1)))))
      & proper_element(sK2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK1)))))
      & upper_relstr_subset(sK2,boole_POSet(cast_as_carrier_subset(sK1)))
      & filtered_subset(sK2,boole_POSet(cast_as_carrier_subset(sK1)))
      & ~ empty(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f167,plain,
    ? [X0] :
      ( ? [X1] :
          ( filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) != X1
          & element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
          & proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
          & upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
          & filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
          & ~ empty(X1) )
      & one_sorted_str(X0)
      & ~ empty_carrier(X0) ),
    inference(flattening,[],[f166]) ).

fof(f166,plain,
    ? [X0] :
      ( ? [X1] :
          ( filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) != X1
          & element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
          & proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
          & upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
          & filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
          & ~ empty(X1) )
      & one_sorted_str(X0)
      & ~ empty_carrier(X0) ),
    inference(ennf_transformation,[],[f115]) ).

fof(f115,negated_conjecture,
    ~ ! [X0] :
        ( ( one_sorted_str(X0)
          & ~ empty_carrier(X0) )
       => ! [X1] :
            ( ( element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
              & proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
              & upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
              & filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
              & ~ empty(X1) )
           => filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) = X1 ) ),
    inference(negated_conjecture,[],[f114]) ).

fof(f114,conjecture,
    ! [X0] :
      ( ( one_sorted_str(X0)
        & ~ empty_carrier(X0) )
     => ! [X1] :
          ( ( element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
            & proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
            & upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
            & filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
            & ~ empty(X1) )
         => filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) = X1 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.OJkZgwXEwR/Vampire---4.8_29017',t15_yellow19) ).

fof(f567,plain,
    ( ~ sP18(sK2)
    | in(empty_set,sK2) ),
    inference(superposition,[],[f537,f280]) ).

fof(f280,plain,
    ! [X0,X1] :
      ( set_difference(X0,singleton(X1)) = X0
      | in(X1,X0) ),
    inference(cnf_transformation,[],[f234]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( ( set_difference(X0,singleton(X1)) = X0
        | in(X1,X0) )
      & ( ~ in(X1,X0)
        | set_difference(X0,singleton(X1)) != X0 ) ),
    inference(nnf_transformation,[],[f125]) ).

fof(f125,axiom,
    ! [X0,X1] :
      ( set_difference(X0,singleton(X1)) = X0
    <=> ~ in(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.OJkZgwXEwR/Vampire---4.8_29017',t65_zfmisc_1) ).

fof(f537,plain,
    ~ sP18(set_difference(sK2,singleton(empty_set))),
    inference(subsumption_resolution,[],[f536,f269]) ).

fof(f269,plain,
    ~ empty_carrier(sK1),
    inference(cnf_transformation,[],[f233]) ).

fof(f536,plain,
    ( ~ sP18(set_difference(sK2,singleton(empty_set)))
    | empty_carrier(sK1) ),
    inference(subsumption_resolution,[],[f535,f270]) ).

fof(f270,plain,
    one_sorted_str(sK1),
    inference(cnf_transformation,[],[f233]) ).

fof(f535,plain,
    ( ~ sP18(set_difference(sK2,singleton(empty_set)))
    | ~ one_sorted_str(sK1)
    | empty_carrier(sK1) ),
    inference(subsumption_resolution,[],[f534,f271]) ).

fof(f271,plain,
    ~ empty(sK2),
    inference(cnf_transformation,[],[f233]) ).

fof(f534,plain,
    ( ~ sP18(set_difference(sK2,singleton(empty_set)))
    | empty(sK2)
    | ~ one_sorted_str(sK1)
    | empty_carrier(sK1) ),
    inference(subsumption_resolution,[],[f533,f272]) ).

fof(f272,plain,
    filtered_subset(sK2,boole_POSet(cast_as_carrier_subset(sK1))),
    inference(cnf_transformation,[],[f233]) ).

fof(f533,plain,
    ( ~ sP18(set_difference(sK2,singleton(empty_set)))
    | ~ filtered_subset(sK2,boole_POSet(cast_as_carrier_subset(sK1)))
    | empty(sK2)
    | ~ one_sorted_str(sK1)
    | empty_carrier(sK1) ),
    inference(subsumption_resolution,[],[f532,f273]) ).

fof(f273,plain,
    upper_relstr_subset(sK2,boole_POSet(cast_as_carrier_subset(sK1))),
    inference(cnf_transformation,[],[f233]) ).

fof(f532,plain,
    ( ~ sP18(set_difference(sK2,singleton(empty_set)))
    | ~ upper_relstr_subset(sK2,boole_POSet(cast_as_carrier_subset(sK1)))
    | ~ filtered_subset(sK2,boole_POSet(cast_as_carrier_subset(sK1)))
    | empty(sK2)
    | ~ one_sorted_str(sK1)
    | empty_carrier(sK1) ),
    inference(subsumption_resolution,[],[f531,f275]) ).

fof(f275,plain,
    element(sK2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK1))))),
    inference(cnf_transformation,[],[f233]) ).

fof(f531,plain,
    ( ~ sP18(set_difference(sK2,singleton(empty_set)))
    | ~ element(sK2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK1)))))
    | ~ upper_relstr_subset(sK2,boole_POSet(cast_as_carrier_subset(sK1)))
    | ~ filtered_subset(sK2,boole_POSet(cast_as_carrier_subset(sK1)))
    | empty(sK2)
    | ~ one_sorted_str(sK1)
    | empty_carrier(sK1) ),
    inference(superposition,[],[f406,f285]) ).

fof(f285,plain,
    ! [X0,X1] :
      ( set_difference(X1,singleton(empty_set)) = filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1))
      | ~ element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
      | ~ upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
      | ~ filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
      | empty(X1)
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f172,plain,
    ! [X0] :
      ( ! [X1] :
          ( set_difference(X1,singleton(empty_set)) = filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1))
          | ~ element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
          | ~ upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
          | ~ filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
          | empty(X1) )
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(flattening,[],[f171]) ).

fof(f171,plain,
    ! [X0] :
      ( ! [X1] :
          ( set_difference(X1,singleton(empty_set)) = filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1))
          | ~ element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
          | ~ upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
          | ~ filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
          | empty(X1) )
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(ennf_transformation,[],[f113]) ).

fof(f113,axiom,
    ! [X0] :
      ( ( one_sorted_str(X0)
        & ~ empty_carrier(X0) )
     => ! [X1] :
          ( ( element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
            & upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
            & filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
            & ~ empty(X1) )
         => set_difference(X1,singleton(empty_set)) = filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.OJkZgwXEwR/Vampire---4.8_29017',t14_yellow19) ).

fof(f509,plain,
    ~ sP19(sK2),
    inference(subsumption_resolution,[],[f508,f422]) ).

fof(f422,plain,
    ~ empty(cast_as_carrier_subset(sK1)),
    inference(subsumption_resolution,[],[f418,f270]) ).

fof(f418,plain,
    ( ~ one_sorted_str(sK1)
    | ~ empty(cast_as_carrier_subset(sK1)) ),
    inference(resolution,[],[f269,f319]) ).

fof(f319,plain,
    ! [X0] :
      ( empty_carrier(X0)
      | ~ one_sorted_str(X0)
      | ~ empty(cast_as_carrier_subset(X0)) ),
    inference(cnf_transformation,[],[f204]) ).

fof(f204,plain,
    ! [X0] :
      ( ~ empty(cast_as_carrier_subset(X0))
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(flattening,[],[f203]) ).

fof(f203,plain,
    ! [X0] :
      ( ~ empty(cast_as_carrier_subset(X0))
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,axiom,
    ! [X0] :
      ( ( one_sorted_str(X0)
        & ~ empty_carrier(X0) )
     => ~ empty(cast_as_carrier_subset(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.OJkZgwXEwR/Vampire---4.8_29017',fc2_pre_topc) ).

fof(f508,plain,
    ( empty(cast_as_carrier_subset(sK1))
    | ~ sP19(sK2) ),
    inference(subsumption_resolution,[],[f507,f271]) ).

fof(f507,plain,
    ( empty(sK2)
    | empty(cast_as_carrier_subset(sK1))
    | ~ sP19(sK2) ),
    inference(subsumption_resolution,[],[f506,f272]) ).

fof(f506,plain,
    ( ~ filtered_subset(sK2,boole_POSet(cast_as_carrier_subset(sK1)))
    | empty(sK2)
    | empty(cast_as_carrier_subset(sK1))
    | ~ sP19(sK2) ),
    inference(subsumption_resolution,[],[f505,f273]) ).

fof(f505,plain,
    ( ~ upper_relstr_subset(sK2,boole_POSet(cast_as_carrier_subset(sK1)))
    | ~ filtered_subset(sK2,boole_POSet(cast_as_carrier_subset(sK1)))
    | empty(sK2)
    | empty(cast_as_carrier_subset(sK1))
    | ~ sP19(sK2) ),
    inference(subsumption_resolution,[],[f504,f275]) ).

fof(f504,plain,
    ( ~ element(sK2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK1)))))
    | ~ upper_relstr_subset(sK2,boole_POSet(cast_as_carrier_subset(sK1)))
    | ~ filtered_subset(sK2,boole_POSet(cast_as_carrier_subset(sK1)))
    | empty(sK2)
    | empty(cast_as_carrier_subset(sK1))
    | ~ sP19(sK2) ),
    inference(resolution,[],[f274,f410]) ).

fof(f410,plain,
    ! [X0,X1] :
      ( ~ proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
      | ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
      | ~ upper_relstr_subset(X1,boole_POSet(X0))
      | ~ filtered_subset(X1,boole_POSet(X0))
      | empty(X1)
      | empty(X0)
      | ~ sP19(X1) ),
    inference(general_splitting,[],[f323,f409_D]) ).

fof(f323,plain,
    ! [X2,X0,X1] :
      ( ~ empty(X2)
      | ~ in(X2,X1)
      | ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
      | ~ proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
      | ~ upper_relstr_subset(X1,boole_POSet(X0))
      | ~ filtered_subset(X1,boole_POSet(X0))
      | empty(X1)
      | empty(X0) ),
    inference(cnf_transformation,[],[f209]) ).

fof(f209,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ~ empty(X2)
              | ~ in(X2,X1) )
          | ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
          | ~ proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
          | ~ upper_relstr_subset(X1,boole_POSet(X0))
          | ~ filtered_subset(X1,boole_POSet(X0))
          | empty(X1) )
      | empty(X0) ),
    inference(flattening,[],[f208]) ).

fof(f208,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ~ empty(X2)
              | ~ in(X2,X1) )
          | ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
          | ~ proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
          | ~ upper_relstr_subset(X1,boole_POSet(X0))
          | ~ filtered_subset(X1,boole_POSet(X0))
          | empty(X1) )
      | empty(X0) ),
    inference(ennf_transformation,[],[f119]) ).

fof(f119,axiom,
    ! [X0] :
      ( ~ empty(X0)
     => ! [X1] :
          ( ( element(X1,powerset(the_carrier(boole_POSet(X0))))
            & proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
            & upper_relstr_subset(X1,boole_POSet(X0))
            & filtered_subset(X1,boole_POSet(X0))
            & ~ empty(X1) )
         => ! [X2] :
              ~ ( empty(X2)
                & in(X2,X1) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.OJkZgwXEwR/Vampire---4.8_29017',t2_yellow19) ).

fof(f274,plain,
    proper_element(sK2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK1))))),
    inference(cnf_transformation,[],[f233]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SEU394+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.15  % 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 : n021.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   : Fri May  3 11:29:28 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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.OJkZgwXEwR/Vampire---4.8_29017
% 0.70/0.90  % (29280)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.70/0.90  % (29279)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.70/0.90  % (29277)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 (2994ds/34Mi)
% 0.70/0.90  % (29283)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 (2994ds/83Mi)
% 0.70/0.90  % (29278)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 (2994ds/51Mi)
% 0.70/0.90  % (29281)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 (2994ds/34Mi)
% 0.70/0.90  % (29282)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.70/0.90  % (29284)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 (2994ds/56Mi)
% 0.70/0.91  % (29284)Refutation not found, incomplete strategy% (29284)------------------------------
% 0.70/0.91  % (29284)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.91  % (29284)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.91  
% 0.70/0.91  % (29284)Memory used [KB]: 1186
% 0.70/0.91  % (29284)Time elapsed: 0.006 s
% 0.70/0.91  % (29284)Instructions burned: 8 (million)
% 0.70/0.91  % (29284)------------------------------
% 0.70/0.91  % (29284)------------------------------
% 0.70/0.91  % (29277)Refutation not found, incomplete strategy% (29277)------------------------------
% 0.70/0.91  % (29277)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.91  % (29277)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.91  
% 0.70/0.91  % (29277)Memory used [KB]: 1249
% 0.70/0.91  % (29277)Time elapsed: 0.007 s
% 0.70/0.91  % (29277)Instructions burned: 11 (million)
% 0.70/0.91  % (29277)------------------------------
% 0.70/0.91  % (29277)------------------------------
% 0.70/0.91  % (29282)Refutation not found, incomplete strategy% (29282)------------------------------
% 0.70/0.91  % (29282)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.91  % (29282)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.91  
% 0.70/0.91  % (29282)Memory used [KB]: 1266
% 0.70/0.91  % (29282)Time elapsed: 0.007 s
% 0.70/0.91  % (29282)Instructions burned: 11 (million)
% 0.70/0.91  % (29282)------------------------------
% 0.70/0.91  % (29282)------------------------------
% 0.70/0.91  % (29285)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 (2994ds/55Mi)
% 0.70/0.91  % (29286)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 (2994ds/50Mi)
% 0.70/0.91  % (29287)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 (2994ds/208Mi)
% 0.70/0.92  % (29280)Instruction limit reached!
% 0.70/0.92  % (29280)------------------------------
% 0.70/0.92  % (29280)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.92  % (29280)Termination reason: Unknown
% 0.70/0.92  % (29280)Termination phase: Saturation
% 0.70/0.92  
% 0.70/0.92  % (29280)Memory used [KB]: 1502
% 0.70/0.92  % (29280)Time elapsed: 0.015 s
% 0.70/0.92  % (29280)Instructions burned: 33 (million)
% 0.70/0.92  % (29280)------------------------------
% 0.70/0.92  % (29280)------------------------------
% 0.70/0.92  % (29281)Instruction limit reached!
% 0.70/0.92  % (29281)------------------------------
% 0.70/0.92  % (29281)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.92  % (29281)Termination reason: Unknown
% 0.70/0.92  % (29281)Termination phase: Saturation
% 0.70/0.92  
% 0.70/0.92  % (29281)Memory used [KB]: 1647
% 0.70/0.92  % (29281)Time elapsed: 0.017 s
% 0.70/0.92  % (29281)Instructions burned: 34 (million)
% 0.70/0.92  % (29281)------------------------------
% 0.70/0.92  % (29281)------------------------------
% 0.70/0.92  % (29288)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 (2994ds/52Mi)
% 0.70/0.92  % (29289)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 (2994ds/518Mi)
% 0.70/0.93  % (29278)Instruction limit reached!
% 0.70/0.93  % (29278)------------------------------
% 0.70/0.93  % (29278)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.93  % (29278)Termination reason: Unknown
% 0.70/0.93  % (29278)Termination phase: Saturation
% 0.70/0.93  
% 0.70/0.93  % (29278)Memory used [KB]: 1783
% 0.70/0.93  % (29278)Time elapsed: 0.029 s
% 0.70/0.93  % (29278)Instructions burned: 52 (million)
% 0.70/0.93  % (29278)------------------------------
% 0.70/0.93  % (29278)------------------------------
% 0.70/0.94  % (29290)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2994ds/42Mi)
% 0.70/0.94  % (29286)Instruction limit reached!
% 0.70/0.94  % (29286)------------------------------
% 0.70/0.94  % (29286)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.94  % (29286)Termination reason: Unknown
% 0.70/0.94  % (29286)Termination phase: Saturation
% 0.70/0.94  
% 0.70/0.94  % (29286)Memory used [KB]: 1816
% 0.70/0.94  % (29286)Time elapsed: 0.024 s
% 0.70/0.94  % (29286)Instructions burned: 50 (million)
% 0.70/0.94  % (29286)------------------------------
% 0.70/0.94  % (29286)------------------------------
% 0.70/0.94  % (29283)Instruction limit reached!
% 0.70/0.94  % (29283)------------------------------
% 0.70/0.94  % (29283)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.94  % (29283)Termination reason: Unknown
% 0.70/0.94  % (29283)Termination phase: Saturation
% 0.70/0.94  
% 0.70/0.94  % (29283)Memory used [KB]: 2256
% 0.70/0.94  % (29283)Time elapsed: 0.034 s
% 0.70/0.94  % (29283)Instructions burned: 83 (million)
% 0.70/0.94  % (29283)------------------------------
% 0.70/0.94  % (29283)------------------------------
% 0.70/0.94  % (29289)Refutation not found, incomplete strategy% (29289)------------------------------
% 0.70/0.94  % (29289)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.94  % (29289)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.94  
% 0.70/0.94  % (29289)Memory used [KB]: 1569
% 0.70/0.94  % (29289)Time elapsed: 0.015 s
% 0.70/0.94  % (29289)Instructions burned: 29 (million)
% 0.70/0.94  % (29289)------------------------------
% 0.70/0.94  % (29289)------------------------------
% 0.90/0.94  % (29291)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2994ds/243Mi)
% 0.90/0.94  % (29292)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2994ds/117Mi)
% 0.90/0.94  % (29293)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2994ds/143Mi)
% 0.90/0.94  % (29285)Instruction limit reached!
% 0.90/0.94  % (29285)------------------------------
% 0.90/0.94  % (29285)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/0.94  % (29285)Termination reason: Unknown
% 0.90/0.94  % (29285)Termination phase: Saturation
% 0.90/0.94  
% 0.90/0.94  % (29285)Memory used [KB]: 2202
% 0.90/0.94  % (29285)Time elapsed: 0.030 s
% 0.90/0.94  % (29285)Instructions burned: 56 (million)
% 0.90/0.94  % (29285)------------------------------
% 0.90/0.94  % (29285)------------------------------
% 0.90/0.94  % (29294)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2994ds/93Mi)
% 0.90/0.95  % (29288)Instruction limit reached!
% 0.90/0.95  % (29288)------------------------------
% 0.90/0.95  % (29288)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/0.95  % (29288)Termination reason: Unknown
% 0.90/0.95  % (29288)Termination phase: Saturation
% 0.90/0.95  
% 0.90/0.95  % (29288)Memory used [KB]: 1787
% 0.90/0.95  % (29288)Time elapsed: 0.026 s
% 0.90/0.95  % (29288)Instructions burned: 52 (million)
% 0.90/0.95  % (29288)------------------------------
% 0.90/0.95  % (29288)------------------------------
% 0.90/0.95  % (29279)Instruction limit reached!
% 0.90/0.95  % (29279)------------------------------
% 0.90/0.95  % (29279)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/0.95  % (29279)Termination reason: Unknown
% 0.90/0.95  % (29279)Termination phase: Saturation
% 0.90/0.95  
% 0.90/0.95  % (29279)Memory used [KB]: 1832
% 0.90/0.95  % (29279)Time elapsed: 0.043 s
% 0.90/0.95  % (29279)Instructions burned: 79 (million)
% 0.90/0.95  % (29279)------------------------------
% 0.90/0.95  % (29279)------------------------------
% 0.90/0.95  % (29295)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2994ds/62Mi)
% 0.90/0.95  % (29296)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2994ds/32Mi)
% 0.90/0.96  % (29290)Instruction limit reached!
% 0.90/0.96  % (29290)------------------------------
% 0.90/0.96  % (29290)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/0.96  % (29290)Termination reason: Unknown
% 0.90/0.96  % (29290)Termination phase: Saturation
% 0.90/0.96  
% 0.90/0.96  % (29290)Memory used [KB]: 1686
% 0.90/0.96  % (29290)Time elapsed: 0.023 s
% 0.90/0.96  % (29290)Instructions burned: 43 (million)
% 0.90/0.96  % (29290)------------------------------
% 0.90/0.96  % (29290)------------------------------
% 0.90/0.96  % (29297)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2994ds/1919Mi)
% 0.90/0.97  % (29296)Instruction limit reached!
% 0.90/0.97  % (29296)------------------------------
% 0.90/0.97  % (29296)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/0.97  % (29296)Termination reason: Unknown
% 0.90/0.97  % (29296)Termination phase: Saturation
% 0.90/0.97  
% 0.90/0.97  % (29296)Memory used [KB]: 1594
% 0.90/0.97  % (29296)Time elapsed: 0.019 s
% 0.90/0.97  % (29296)Instructions burned: 33 (million)
% 0.90/0.97  % (29296)------------------------------
% 0.90/0.97  % (29296)------------------------------
% 0.90/0.97  % (29298)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2994ds/55Mi)
% 0.90/0.97  % (29295)Instruction limit reached!
% 0.90/0.97  % (29295)------------------------------
% 0.90/0.97  % (29295)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/0.97  % (29295)Termination reason: Unknown
% 0.90/0.97  % (29295)Termination phase: Saturation
% 0.90/0.97  
% 0.90/0.97  % (29295)Memory used [KB]: 2214
% 0.90/0.97  % (29295)Time elapsed: 0.027 s
% 0.90/0.97  % (29295)Instructions burned: 63 (million)
% 0.90/0.97  % (29295)------------------------------
% 0.90/0.97  % (29295)------------------------------
% 1.05/0.98  % (29299)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2994ds/53Mi)
% 1.05/0.99  % (29299)First to succeed.
% 1.05/0.99  % (29298)Instruction limit reached!
% 1.05/0.99  % (29298)------------------------------
% 1.05/0.99  % (29298)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.99  % (29298)Termination reason: Unknown
% 1.05/0.99  % (29298)Termination phase: Saturation
% 1.05/0.99  
% 1.05/0.99  % (29298)Memory used [KB]: 2341
% 1.05/0.99  % (29298)Time elapsed: 0.026 s
% 1.05/0.99  % (29298)Instructions burned: 55 (million)
% 1.05/0.99  % (29298)------------------------------
% 1.05/0.99  % (29298)------------------------------
% 1.05/0.99  % (29292)Instruction limit reached!
% 1.05/0.99  % (29292)------------------------------
% 1.05/0.99  % (29292)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/0.99  % (29292)Termination reason: Unknown
% 1.05/0.99  % (29292)Termination phase: Saturation
% 1.05/0.99  
% 1.05/0.99  % (29292)Memory used [KB]: 2670
% 1.05/0.99  % (29292)Time elapsed: 0.056 s
% 1.05/0.99  % (29292)Instructions burned: 119 (million)
% 1.05/0.99  % (29292)------------------------------
% 1.05/0.99  % (29292)------------------------------
% 1.05/0.99  % (29299)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29228"
% 1.05/1.00  % (29299)Refutation found. Thanks to Tanya!
% 1.05/1.00  % SZS status Theorem for Vampire---4
% 1.05/1.00  % SZS output start Proof for Vampire---4
% See solution above
% 1.05/1.00  % (29299)------------------------------
% 1.05/1.00  % (29299)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.05/1.00  % (29299)Termination reason: Refutation
% 1.05/1.00  
% 1.05/1.00  % (29299)Memory used [KB]: 1460
% 1.05/1.00  % (29299)Time elapsed: 0.019 s
% 1.05/1.00  % (29299)Instructions burned: 44 (million)
% 1.05/1.00  % (29228)Success in time 0.619 s
% 1.05/1.00  % Vampire---4.8 exiting
%------------------------------------------------------------------------------