TSTP Solution File: SEU235+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU235+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n007.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 09:21:21 EDT 2024

% Result   : Theorem 0.62s 0.76s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   85 (  26 unt;   0 def)
%            Number of atoms       :  268 (  16 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  313 ( 130   ~;  94   |;  60   &)
%                                         (   6 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-1 aty)
%            Number of variables   :  147 ( 129   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f906,plain,
    $false,
    inference(subsumption_resolution,[],[f868,f183]) ).

fof(f183,plain,
    ! [X0] : subset(X0,X0),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] : subset(X0,X0),
    inference(rectify,[],[f32]) ).

fof(f32,axiom,
    ! [X0,X1] : subset(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.u6kzC86fMG/Vampire---4.8_27565',reflexivity_r1_tarski) ).

fof(f868,plain,
    ~ subset(sK17(sK14),sK17(sK14)),
    inference(backward_demodulation,[],[f661,f848]) ).

fof(f848,plain,
    sK17(sK14) = sK16(sK17(sK14)),
    inference(unit_resulting_resolution,[],[f523,f695,f720,f515,f186]) ).

fof(f186,plain,
    ! [X0,X1] :
      ( ~ ordinal(X0)
      | X0 = X1
      | in(X0,X1)
      | ~ ordinal(X1)
      | in(X1,X0) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ! [X1] :
          ( in(X1,X0)
          | X0 = X1
          | in(X0,X1)
          | ~ ordinal(X1) )
      | ~ ordinal(X0) ),
    inference(flattening,[],[f74]) ).

fof(f74,plain,
    ! [X0] :
      ( ! [X1] :
          ( in(X1,X0)
          | X0 = X1
          | in(X0,X1)
          | ~ ordinal(X1) )
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X0] :
      ( ordinal(X0)
     => ! [X1] :
          ( ordinal(X1)
         => ~ ( ~ in(X1,X0)
              & X0 != X1
              & ~ in(X0,X1) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.u6kzC86fMG/Vampire---4.8_27565',t24_ordinal1) ).

fof(f515,plain,
    ordinal(sK17(sK14)),
    inference(unit_resulting_resolution,[],[f188,f493,f185]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ordinal(X0)
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ordinal(X0)
      | ~ in(X0,X1)
      | ~ ordinal(X1) ),
    inference(flattening,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ordinal(X0)
      | ~ in(X0,X1)
      | ~ ordinal(X1) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,axiom,
    ! [X0,X1] :
      ( ordinal(X1)
     => ( in(X0,X1)
       => ordinal(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.u6kzC86fMG/Vampire---4.8_27565',t23_ordinal1) ).

fof(f493,plain,
    in(sK17(sK14),sK15),
    inference(unit_resulting_resolution,[],[f352,f489,f187]) ).

fof(f187,plain,
    ! [X0,X1] :
      ( ~ element(X0,X1)
      | empty(X1)
      | in(X0,X1) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(flattening,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ! [X0,X1] :
      ( element(X0,X1)
     => ( in(X0,X1)
        | empty(X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.u6kzC86fMG/Vampire---4.8_27565',t2_subset) ).

fof(f489,plain,
    element(sK17(sK14),sK15),
    inference(unit_resulting_resolution,[],[f189,f350,f210]) ).

fof(f210,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,X1)
      | element(X0,X2)
      | ~ subset(X1,X2) ),
    inference(forward_literal_rewriting,[],[f196,f195]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ( element(X0,powerset(X1))
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ~ element(X0,powerset(X1)) ) ),
    inference(nnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.u6kzC86fMG/Vampire---4.8_27565',t3_subset) ).

fof(f196,plain,
    ! [X2,X0,X1] :
      ( element(X0,X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1,X2] :
      ( element(X0,X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(flattening,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1,X2] :
      ( element(X0,X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,axiom,
    ! [X0,X1,X2] :
      ( ( element(X1,powerset(X2))
        & in(X0,X1) )
     => element(X0,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.u6kzC86fMG/Vampire---4.8_27565',t4_subset) ).

fof(f350,plain,
    in(sK17(sK14),sK14),
    inference(unit_resulting_resolution,[],[f306,f200]) ).

fof(f200,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | in(sK17(X1),X1) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( ( ! [X3] :
            ( ~ in(X3,sK17(X1))
            | ~ in(X3,X1) )
        & in(sK17(X1),X1) )
      | ~ in(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f85,f122]) ).

fof(f122,plain,
    ! [X1] :
      ( ? [X2] :
          ( ! [X3] :
              ( ~ in(X3,X2)
              | ~ in(X3,X1) )
          & in(X2,X1) )
     => ( ! [X3] :
            ( ~ in(X3,sK17(X1))
            | ~ in(X3,X1) )
        & in(sK17(X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ! [X3] :
              ( ~ in(X3,X2)
              | ~ in(X3,X1) )
          & in(X2,X1) )
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,axiom,
    ! [X0,X1] :
      ~ ( ! [X2] :
            ~ ( ! [X3] :
                  ~ ( in(X3,X2)
                    & in(X3,X1) )
              & in(X2,X1) )
        & in(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.u6kzC86fMG/Vampire---4.8_27565',t7_tarski) ).

fof(f306,plain,
    in(sK1(sK14),sK14),
    inference(unit_resulting_resolution,[],[f258,f139,f187]) ).

fof(f139,plain,
    ! [X0] : element(sK1(X0),X0),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0] : element(sK1(X0),X0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f13,f91]) ).

fof(f91,plain,
    ! [X0] :
      ( ? [X1] : element(X1,X0)
     => element(sK1(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f13,axiom,
    ! [X0] :
    ? [X1] : element(X1,X0),
    file('/export/starexec/sandbox/tmp/tmp.u6kzC86fMG/Vampire---4.8_27565',existence_m1_subset_1) ).

fof(f258,plain,
    ~ empty(sK14),
    inference(unit_resulting_resolution,[],[f190,f198]) ).

fof(f198,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty_set = X0 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0] :
      ( empty_set = X0
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ! [X0] :
      ( empty(X0)
     => empty_set = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.u6kzC86fMG/Vampire---4.8_27565',t6_boole) ).

fof(f190,plain,
    empty_set != sK14,
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ( ! [X2] :
        ( ( ~ ordinal_subset(X2,sK16(X2))
          & in(sK16(X2),sK14)
          & ordinal(sK16(X2)) )
        | ~ in(X2,sK14)
        | ~ ordinal(X2) )
    & empty_set != sK14
    & subset(sK14,sK15)
    & ordinal(sK15) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16])],[f79,f119,f118]) ).

fof(f118,plain,
    ( ? [X0,X1] :
        ( ! [X2] :
            ( ? [X3] :
                ( ~ ordinal_subset(X2,X3)
                & in(X3,X0)
                & ordinal(X3) )
            | ~ in(X2,X0)
            | ~ ordinal(X2) )
        & empty_set != X0
        & subset(X0,X1)
        & ordinal(X1) )
   => ( ! [X2] :
          ( ? [X3] :
              ( ~ ordinal_subset(X2,X3)
              & in(X3,sK14)
              & ordinal(X3) )
          | ~ in(X2,sK14)
          | ~ ordinal(X2) )
      & empty_set != sK14
      & subset(sK14,sK15)
      & ordinal(sK15) ) ),
    introduced(choice_axiom,[]) ).

fof(f119,plain,
    ! [X2] :
      ( ? [X3] :
          ( ~ ordinal_subset(X2,X3)
          & in(X3,sK14)
          & ordinal(X3) )
     => ( ~ ordinal_subset(X2,sK16(X2))
        & in(sK16(X2),sK14)
        & ordinal(sK16(X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f79,plain,
    ? [X0,X1] :
      ( ! [X2] :
          ( ? [X3] :
              ( ~ ordinal_subset(X2,X3)
              & in(X3,X0)
              & ordinal(X3) )
          | ~ in(X2,X0)
          | ~ ordinal(X2) )
      & empty_set != X0
      & subset(X0,X1)
      & ordinal(X1) ),
    inference(flattening,[],[f78]) ).

fof(f78,plain,
    ? [X0,X1] :
      ( ! [X2] :
          ( ? [X3] :
              ( ~ ordinal_subset(X2,X3)
              & in(X3,X0)
              & ordinal(X3) )
          | ~ in(X2,X0)
          | ~ ordinal(X2) )
      & empty_set != X0
      & subset(X0,X1)
      & ordinal(X1) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,negated_conjecture,
    ~ ! [X0,X1] :
        ( ordinal(X1)
       => ~ ( ! [X2] :
                ( ordinal(X2)
               => ~ ( ! [X3] :
                        ( ordinal(X3)
                       => ( in(X3,X0)
                         => ordinal_subset(X2,X3) ) )
                    & in(X2,X0) ) )
            & empty_set != X0
            & subset(X0,X1) ) ),
    inference(negated_conjecture,[],[f37]) ).

fof(f37,conjecture,
    ! [X0,X1] :
      ( ordinal(X1)
     => ~ ( ! [X2] :
              ( ordinal(X2)
             => ~ ( ! [X3] :
                      ( ordinal(X3)
                     => ( in(X3,X0)
                       => ordinal_subset(X2,X3) ) )
                  & in(X2,X0) ) )
          & empty_set != X0
          & subset(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.u6kzC86fMG/Vampire---4.8_27565',t32_ordinal1) ).

fof(f189,plain,
    subset(sK14,sK15),
    inference(cnf_transformation,[],[f120]) ).

fof(f352,plain,
    ~ empty(sK15),
    inference(unit_resulting_resolution,[],[f189,f306,f211]) ).

fof(f211,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,X1)
      | ~ empty(X2)
      | ~ subset(X1,X2) ),
    inference(forward_literal_rewriting,[],[f197,f195]) ).

fof(f197,plain,
    ! [X2,X0,X1] :
      ( ~ empty(X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0,X1,X2] :
      ( ~ empty(X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,axiom,
    ! [X0,X1,X2] :
      ~ ( empty(X2)
        & element(X1,powerset(X2))
        & in(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.u6kzC86fMG/Vampire---4.8_27565',t5_subset) ).

fof(f188,plain,
    ordinal(sK15),
    inference(cnf_transformation,[],[f120]) ).

fof(f720,plain,
    ~ in(sK17(sK14),sK16(sK17(sK14))),
    inference(unit_resulting_resolution,[],[f535,f661,f136]) ).

fof(f136,plain,
    ! [X2,X0] :
      ( subset(X2,X0)
      | ~ in(X2,X0)
      | ~ epsilon_transitive(X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0] :
      ( ( epsilon_transitive(X0)
        | ( ~ subset(sK0(X0),X0)
          & in(sK0(X0),X0) ) )
      & ( ! [X2] :
            ( subset(X2,X0)
            | ~ in(X2,X0) )
        | ~ epsilon_transitive(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f88,f89]) ).

fof(f89,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ subset(X1,X0)
          & in(X1,X0) )
     => ( ~ subset(sK0(X0),X0)
        & in(sK0(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f88,plain,
    ! [X0] :
      ( ( epsilon_transitive(X0)
        | ? [X1] :
            ( ~ subset(X1,X0)
            & in(X1,X0) ) )
      & ( ! [X2] :
            ( subset(X2,X0)
            | ~ in(X2,X0) )
        | ~ epsilon_transitive(X0) ) ),
    inference(rectify,[],[f87]) ).

fof(f87,plain,
    ! [X0] :
      ( ( epsilon_transitive(X0)
        | ? [X1] :
            ( ~ subset(X1,X0)
            & in(X1,X0) ) )
      & ( ! [X1] :
            ( subset(X1,X0)
            | ~ in(X1,X0) )
        | ~ epsilon_transitive(X0) ) ),
    inference(nnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( epsilon_transitive(X0)
    <=> ! [X1] :
          ( subset(X1,X0)
          | ~ in(X1,X0) ) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( epsilon_transitive(X0)
    <=> ! [X1] :
          ( in(X1,X0)
         => subset(X1,X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.u6kzC86fMG/Vampire---4.8_27565',d2_ordinal1) ).

fof(f535,plain,
    epsilon_transitive(sK16(sK17(sK14))),
    inference(unit_resulting_resolution,[],[f523,f126]) ).

fof(f126,plain,
    ! [X0] :
      ( epsilon_transitive(X0)
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0] :
      ( ( epsilon_connected(X0)
        & epsilon_transitive(X0) )
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ordinal(X0)
     => ( epsilon_connected(X0)
        & epsilon_transitive(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.u6kzC86fMG/Vampire---4.8_27565',cc1_ordinal1) ).

fof(f695,plain,
    ~ in(sK16(sK17(sK14)),sK17(sK14)),
    inference(unit_resulting_resolution,[],[f306,f524,f201]) ).

fof(f201,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,sK17(X1))
      | ~ in(X3,X1)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f524,plain,
    in(sK16(sK17(sK14)),sK14),
    inference(unit_resulting_resolution,[],[f350,f515,f192]) ).

fof(f192,plain,
    ! [X2] :
      ( in(sK16(X2),sK14)
      | ~ in(X2,sK14)
      | ~ ordinal(X2) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f523,plain,
    ordinal(sK16(sK17(sK14))),
    inference(unit_resulting_resolution,[],[f350,f515,f191]) ).

fof(f191,plain,
    ! [X2] :
      ( ordinal(sK16(X2))
      | ~ in(X2,sK14)
      | ~ ordinal(X2) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f661,plain,
    ~ subset(sK17(sK14),sK16(sK17(sK14))),
    inference(unit_resulting_resolution,[],[f515,f523,f525,f181]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | ordinal_subset(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ( ( ordinal_subset(X0,X1)
          | ~ subset(X0,X1) )
        & ( subset(X0,X1)
          | ~ ordinal_subset(X0,X1) ) )
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(nnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ( ordinal_subset(X0,X1)
      <=> subset(X0,X1) )
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(flattening,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ( ordinal_subset(X0,X1)
      <=> subset(X0,X1) )
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0,X1] :
      ( ( ordinal(X1)
        & ordinal(X0) )
     => ( ordinal_subset(X0,X1)
      <=> subset(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.u6kzC86fMG/Vampire---4.8_27565',redefinition_r1_ordinal1) ).

fof(f525,plain,
    ~ ordinal_subset(sK17(sK14),sK16(sK17(sK14))),
    inference(unit_resulting_resolution,[],[f350,f515,f193]) ).

fof(f193,plain,
    ! [X2] :
      ( ~ ordinal_subset(X2,sK16(X2))
      | ~ in(X2,sK14)
      | ~ ordinal(X2) ),
    inference(cnf_transformation,[],[f120]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SEU235+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 10:54:50 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.u6kzC86fMG/Vampire---4.8_27565
% 0.53/0.73  % (27680)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)
% 0.53/0.73  % (27673)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)
% 0.53/0.73  % (27675)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.73  % (27677)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)
% 0.53/0.73  % (27674)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)
% 0.53/0.73  % (27678)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)
% 0.53/0.73  % (27676)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)
% 0.53/0.73  % (27679)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)
% 0.53/0.74  % (27678)Refutation not found, incomplete strategy% (27678)------------------------------
% 0.53/0.74  % (27678)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74  % (27678)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74  
% 0.53/0.74  % (27678)Memory used [KB]: 1048
% 0.53/0.74  % (27678)Time elapsed: 0.004 s
% 0.53/0.74  % (27678)Instructions burned: 3 (million)
% 0.53/0.74  % (27676)Refutation not found, incomplete strategy% (27676)------------------------------
% 0.53/0.74  % (27676)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74  % (27676)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74  
% 0.53/0.74  % (27676)Memory used [KB]: 1047
% 0.53/0.74  % (27676)Time elapsed: 0.004 s
% 0.53/0.74  % (27676)Instructions burned: 4 (million)
% 0.53/0.74  % (27678)------------------------------
% 0.53/0.74  % (27678)------------------------------
% 0.53/0.74  % (27676)------------------------------
% 0.53/0.74  % (27676)------------------------------
% 0.53/0.74  % (27677)Refutation not found, incomplete strategy% (27677)------------------------------
% 0.53/0.74  % (27677)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74  % (27677)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74  
% 0.53/0.74  % (27677)Memory used [KB]: 1135
% 0.53/0.74  % (27677)Time elapsed: 0.004 s
% 0.53/0.74  % (27677)Instructions burned: 5 (million)
% 0.53/0.74  % (27677)------------------------------
% 0.53/0.74  % (27677)------------------------------
% 0.53/0.74  % (27673)Refutation not found, incomplete strategy% (27673)------------------------------
% 0.53/0.74  % (27673)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74  % (27673)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74  
% 0.53/0.74  % (27673)Memory used [KB]: 1075
% 0.53/0.74  % (27673)Time elapsed: 0.005 s
% 0.53/0.74  % (27673)Instructions burned: 6 (million)
% 0.53/0.74  % (27673)------------------------------
% 0.53/0.74  % (27673)------------------------------
% 0.53/0.74  % (27681)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)
% 0.53/0.74  % (27682)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)
% 0.53/0.74  % (27683)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)
% 0.53/0.74  % (27684)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)
% 0.60/0.75  % (27680)Instruction limit reached!
% 0.60/0.75  % (27680)------------------------------
% 0.60/0.75  % (27680)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75  % (27680)Termination reason: Unknown
% 0.60/0.75  % (27680)Termination phase: Saturation
% 0.60/0.75  
% 0.60/0.75  % (27680)Memory used [KB]: 1218
% 0.60/0.75  % (27680)Time elapsed: 0.016 s
% 0.60/0.75  % (27680)Instructions burned: 57 (million)
% 0.60/0.75  % (27680)------------------------------
% 0.60/0.75  % (27680)------------------------------
% 0.60/0.75  % (27685)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)
% 0.60/0.76  % (27681)First to succeed.
% 0.62/0.76  % (27681)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27672"
% 0.62/0.76  % (27681)Refutation found. Thanks to Tanya!
% 0.62/0.76  % SZS status Theorem for Vampire---4
% 0.62/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.76  % (27681)------------------------------
% 0.62/0.76  % (27681)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76  % (27681)Termination reason: Refutation
% 0.62/0.76  
% 0.62/0.76  % (27681)Memory used [KB]: 1322
% 0.62/0.76  % (27681)Time elapsed: 0.021 s
% 0.62/0.76  % (27681)Instructions burned: 32 (million)
% 0.62/0.76  % (27672)Success in time 0.395 s
% 0.62/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------