TSTP Solution File: NUM414+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM414+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n028.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 03:30:47 EDT 2024

% Result   : Theorem 0.60s 0.81s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   30 (  11 unt;   0 def)
%            Number of atoms       :   83 (  10 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   94 (  41   ~;  26   |;  16   &)
%                                         (   4 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   35 (  31   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f214,plain,
    $false,
    inference(subsumption_resolution,[],[f213,f190]) ).

fof(f190,plain,
    ~ ordinal_subset(sK1,sK0),
    inference(unit_resulting_resolution,[],[f88,f84,f185,f116]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0)
      | ~ ordinal_subset(X0,X1) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ( ordinal_subset(X0,X1)
      <=> subset(X0,X1) )
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ( ordinal_subset(X0,X1)
      <=> subset(X0,X1) )
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0,X1] :
      ( ( ordinal(X1)
        & ordinal(X0) )
     => ( ordinal_subset(X0,X1)
      <=> subset(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.6NrAUVmwf8/Vampire---4.8_28340',redefinition_r1_ordinal1) ).

fof(f185,plain,
    ~ subset(sK1,sK0),
    inference(unit_resulting_resolution,[],[f86,f87,f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | X0 = X1
      | proper_subset(X0,X1) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( proper_subset(X0,X1)
      | X0 = X1
      | ~ subset(X0,X1) ),
    inference(flattening,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( proper_subset(X0,X1)
      | X0 = X1
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ( X0 != X1
        & subset(X0,X1) )
     => proper_subset(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( proper_subset(X0,X1)
    <=> ( X0 != X1
        & subset(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.6NrAUVmwf8/Vampire---4.8_28340',d8_xboole_0) ).

fof(f87,plain,
    ~ proper_subset(sK1,sK0),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ proper_subset(X1,X0)
          & X0 != X1
          & ~ proper_subset(X0,X1)
          & ordinal(X1) )
      & ordinal(X0) ),
    inference(flattening,[],[f55]) ).

fof(f55,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ proper_subset(X1,X0)
          & X0 != X1
          & ~ proper_subset(X0,X1)
          & ordinal(X1) )
      & ordinal(X0) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,negated_conjecture,
    ~ ! [X0] :
        ( ordinal(X0)
       => ! [X1] :
            ( ordinal(X1)
           => ~ ( ~ proper_subset(X1,X0)
                & X0 != X1
                & ~ proper_subset(X0,X1) ) ) ),
    inference(negated_conjecture,[],[f38]) ).

fof(f38,conjecture,
    ! [X0] :
      ( ordinal(X0)
     => ! [X1] :
          ( ordinal(X1)
         => ~ ( ~ proper_subset(X1,X0)
              & X0 != X1
              & ~ proper_subset(X0,X1) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.6NrAUVmwf8/Vampire---4.8_28340',t50_ordinal1) ).

fof(f86,plain,
    sK0 != sK1,
    inference(cnf_transformation,[],[f56]) ).

fof(f84,plain,
    ordinal(sK1),
    inference(cnf_transformation,[],[f56]) ).

fof(f88,plain,
    ordinal(sK0),
    inference(cnf_transformation,[],[f56]) ).

fof(f213,plain,
    ordinal_subset(sK1,sK0),
    inference(subsumption_resolution,[],[f198,f187]) ).

fof(f187,plain,
    ~ ordinal_subset(sK0,sK1),
    inference(unit_resulting_resolution,[],[f84,f88,f184,f116]) ).

fof(f184,plain,
    ~ subset(sK0,sK1),
    inference(unit_resulting_resolution,[],[f85,f86,f91]) ).

fof(f85,plain,
    ~ proper_subset(sK0,sK1),
    inference(cnf_transformation,[],[f56]) ).

fof(f198,plain,
    ( ordinal_subset(sK0,sK1)
    | ordinal_subset(sK1,sK0) ),
    inference(resolution,[],[f165,f88]) ).

fof(f165,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ordinal_subset(X0,sK1)
      | ordinal_subset(sK1,X0) ),
    inference(resolution,[],[f84,f153]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( ~ ordinal(X1)
      | ~ ordinal(X0)
      | ordinal_subset(X0,X1)
      | ordinal_subset(X1,X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ordinal_subset(X1,X0)
      | ordinal_subset(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(flattening,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ordinal_subset(X1,X0)
      | ordinal_subset(X0,X1)
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( ordinal(X1)
        & ordinal(X0) )
     => ( ordinal_subset(X1,X0)
        | ordinal_subset(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.6NrAUVmwf8/Vampire---4.8_28340',connectedness_r1_ordinal1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : NUM414+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12  % 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
% 0.11/0.32  % Computer : n028.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 17:10:00 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32  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.6NrAUVmwf8/Vampire---4.8_28340
% 0.60/0.81  % (28453)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.81  % (28454)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.60/0.81  % (28455)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81  % (28457)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.81  % (28458)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.81  % (28459)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.60/0.81  % (28456)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.81  % (28460)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.81  % (28456)Refutation not found, incomplete strategy% (28456)------------------------------
% 0.60/0.81  % (28456)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (28456)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (28456)Memory used [KB]: 956
% 0.60/0.81  % (28456)Time elapsed: 0.002 s
% 0.60/0.81  % (28456)Instructions burned: 2 (million)
% 0.60/0.81  % (28456)------------------------------
% 0.60/0.81  % (28456)------------------------------
% 0.60/0.81  % (28458)Refutation not found, incomplete strategy% (28458)------------------------------
% 0.60/0.81  % (28458)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (28458)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (28458)Memory used [KB]: 974
% 0.60/0.81  % (28458)Time elapsed: 0.003 s
% 0.60/0.81  % (28458)Instructions burned: 2 (million)
% 0.60/0.81  % (28458)------------------------------
% 0.60/0.81  % (28458)------------------------------
% 0.60/0.81  % (28460)Refutation not found, incomplete strategy% (28460)------------------------------
% 0.60/0.81  % (28460)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (28460)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (28453)Refutation not found, incomplete strategy% (28453)------------------------------
% 0.60/0.81  % (28453)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (28460)Memory used [KB]: 975
% 0.60/0.81  % (28460)Time elapsed: 0.003 s
% 0.60/0.81  % (28460)Instructions burned: 2 (million)
% 0.60/0.81  % (28460)------------------------------
% 0.60/0.81  % (28460)------------------------------
% 0.60/0.81  % (28453)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (28453)Memory used [KB]: 979
% 0.60/0.81  % (28453)Time elapsed: 0.004 s
% 0.60/0.81  % (28453)Instructions burned: 3 (million)
% 0.60/0.81  % (28453)------------------------------
% 0.60/0.81  % (28453)------------------------------
% 0.60/0.81  % (28459)First to succeed.
% 0.60/0.81  % (28459)Refutation found. Thanks to Tanya!
% 0.60/0.81  % SZS status Theorem for Vampire---4
% 0.60/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81  % (28459)------------------------------
% 0.60/0.81  % (28459)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (28459)Termination reason: Refutation
% 0.60/0.81  
% 0.60/0.81  % (28459)Memory used [KB]: 1112
% 0.60/0.81  % (28459)Time elapsed: 0.005 s
% 0.60/0.81  % (28459)Instructions burned: 6 (million)
% 0.60/0.81  % (28459)------------------------------
% 0.60/0.81  % (28459)------------------------------
% 0.60/0.81  % (28450)Success in time 0.489 s
% 0.60/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------