TSTP Solution File: SET908+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET908+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 : n022.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 03:49:26 EDT 2024

% Result   : Theorem 0.77s 0.94s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (   8 unt;   0 def)
%            Number of atoms       :   33 (  13 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   31 (  16   ~;  10   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   36 (  34   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f60,plain,
    $false,
    inference(unit_resulting_resolution,[],[f45,f57,f21]) ).

fof(f21,plain,
    ! [X3,X0,X1] :
      ( sP3(X3,X1,X0)
      | ~ in(X3,X0) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( set_union2(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X1)
            | in(X3,X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.5KGwaDAHK5/Vampire---4.8_16121',d2_xboole_0) ).

fof(f57,plain,
    ! [X0] : ~ sP3(X0,sK1,singleton(sK0)),
    inference(subsumption_resolution,[],[f53,f46]) ).

fof(f46,plain,
    ! [X1] : ~ in(X1,empty_set),
    inference(equality_resolution,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | empty_set != X0 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( empty_set = X0
    <=> ! [X1] : ~ in(X1,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.5KGwaDAHK5/Vampire---4.8_16121',d1_xboole_0) ).

fof(f53,plain,
    ! [X0] :
      ( in(X0,empty_set)
      | ~ sP3(X0,sK1,singleton(sK0)) ),
    inference(superposition,[],[f42,f19]) ).

fof(f19,plain,
    empty_set = set_union2(singleton(sK0),sK1),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ? [X0,X1] : empty_set = set_union2(singleton(X0),X1),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ! [X0,X1] : empty_set != set_union2(singleton(X0),X1),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ! [X0,X1] : empty_set != set_union2(singleton(X0),X1),
    file('/export/starexec/sandbox/tmp/tmp.5KGwaDAHK5/Vampire---4.8_16121',t49_zfmisc_1) ).

fof(f42,plain,
    ! [X3,X0,X1] :
      ( in(X3,set_union2(X0,X1))
      | ~ sP3(X3,X1,X0) ),
    inference(equality_resolution,[],[f24]) ).

fof(f24,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sP3(X3,X1,X0)
      | in(X3,X2)
      | set_union2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X2] : in(X2,singleton(X2)),
    inference(equality_resolution,[],[f44]) ).

fof(f44,plain,
    ! [X2,X1] :
      ( in(X2,X1)
      | singleton(X2) != X1 ),
    inference(equality_resolution,[],[f31]) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( X0 != X2
      | in(X2,X1)
      | singleton(X0) != X1 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( singleton(X0) = X1
    <=> ! [X2] :
          ( in(X2,X1)
        <=> X0 = X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.5KGwaDAHK5/Vampire---4.8_16121',d1_tarski) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : SET908+1 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.13  % 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
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Apr 30 17:13:43 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.34  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.5KGwaDAHK5/Vampire---4.8_16121
% 0.12/0.35  ipcrm: permission denied for id (1633026051)
% 0.12/0.35  ipcrm: permission denied for id (1633091589)
% 0.12/0.35  ipcrm: permission denied for id (1633157128)
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% 0.12/0.36  ipcrm: permission denied for id (1633419280)
% 0.12/0.36  ipcrm: permission denied for id (1633615890)
% 0.12/0.37  ipcrm: permission denied for id (1633943576)
% 0.12/0.37  ipcrm: permission denied for id (1634140188)
% 0.12/0.37  ipcrm: permission denied for id (1634271262)
% 0.12/0.37  ipcrm: permission denied for id (1634336799)
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% 0.19/0.45  ipcrm: permission denied for id (1637187701)
% 0.19/0.45  ipcrm: permission denied for id (1637286008)
% 0.19/0.45  ipcrm: permission denied for id (1637711995)
% 0.19/0.45  ipcrm: permission denied for id (1637777533)
% 0.77/0.93  % (16367)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)
% 0.77/0.93  % (16365)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.77/0.93  % (16363)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)
% 0.77/0.93  % (16366)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)
% 0.77/0.93  % (16368)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)
% 0.77/0.93  % (16364)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)
% 0.77/0.93  % (16369)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)
% 0.77/0.93  % (16370)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)
% 0.77/0.93  % (16370)Refutation not found, incomplete strategy% (16370)------------------------------
% 0.77/0.93  % (16370)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.93  % (16367)Refutation not found, incomplete strategy% (16367)------------------------------
% 0.77/0.93  % (16367)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.93  % (16367)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.93  
% 0.77/0.93  % (16367)Memory used [KB]: 973
% 0.77/0.93  % (16367)Time elapsed: 0.003 s
% 0.77/0.93  % (16367)Instructions burned: 3 (million)
% 0.77/0.93  % (16367)------------------------------
% 0.77/0.93  % (16367)------------------------------
% 0.77/0.93  % (16370)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.93  
% 0.77/0.93  % (16370)Memory used [KB]: 957
% 0.77/0.93  % (16370)Time elapsed: 0.003 s
% 0.77/0.93  % (16370)Instructions burned: 3 (million)
% 0.77/0.93  % (16370)------------------------------
% 0.77/0.93  % (16370)------------------------------
% 0.77/0.93  % (16369)First to succeed.
% 0.77/0.93  % (16363)Refutation not found, incomplete strategy% (16363)------------------------------
% 0.77/0.93  % (16363)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.93  % (16363)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.93  
% 0.77/0.93  % (16363)Memory used [KB]: 1040
% 0.77/0.93  % (16363)Time elapsed: 0.004 s
% 0.77/0.93  % (16363)Instructions burned: 4 (million)
% 0.77/0.93  % (16363)------------------------------
% 0.77/0.93  % (16363)------------------------------
% 0.77/0.93  % (16368)Also succeeded, but the first one will report.
% 0.77/0.93  % (16366)Refutation not found, incomplete strategy% (16366)------------------------------
% 0.77/0.93  % (16366)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.93  % (16366)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.93  
% 0.77/0.93  % (16366)Memory used [KB]: 958
% 0.77/0.93  % (16366)Time elapsed: 0.004 s
% 0.77/0.93  % (16366)Instructions burned: 2 (million)
% 0.77/0.93  % (16366)------------------------------
% 0.77/0.93  % (16366)------------------------------
% 0.77/0.94  % (16369)Refutation found. Thanks to Tanya!
% 0.77/0.94  % SZS status Theorem for Vampire---4
% 0.77/0.94  % SZS output start Proof for Vampire---4
% See solution above
% 0.77/0.94  % (16369)------------------------------
% 0.77/0.94  % (16369)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.94  % (16369)Termination reason: Refutation
% 0.77/0.94  
% 0.77/0.94  % (16369)Memory used [KB]: 981
% 0.77/0.94  % (16369)Time elapsed: 0.004 s
% 0.77/0.94  % (16369)Instructions burned: 4 (million)
% 0.77/0.94  % (16369)------------------------------
% 0.77/0.94  % (16369)------------------------------
% 0.77/0.94  % (16229)Success in time 0.595 s
% 0.77/0.94  % Vampire---4.8 exiting
%------------------------------------------------------------------------------