TSTP Solution File: SET917+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET917+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 : n018.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 09:09:03 EDT 2024

% Result   : Theorem 0.59s 0.75s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   8 unt;   0 def)
%            Number of atoms       :   26 (  11 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   18 (   9   ~;   6   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   22 (  20   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f35,plain,
    $false,
    inference(subsumption_resolution,[],[f32,f28]) ).

fof(f28,plain,
    singleton(sK0) != set_intersection2(sK1,singleton(sK0)),
    inference(superposition,[],[f18,f21]) ).

fof(f21,plain,
    ! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
    file('/export/starexec/sandbox/tmp/tmp.ejhe1CzY6y/Vampire---4.8_18960',commutativity_k3_xboole_0) ).

fof(f18,plain,
    singleton(sK0) != set_intersection2(singleton(sK0),sK1),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ? [X0,X1] :
      ( singleton(X0) != set_intersection2(singleton(X0),X1)
      & ~ disjoint(singleton(X0),X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,negated_conjecture,
    ~ ! [X0,X1] :
        ( singleton(X0) = set_intersection2(singleton(X0),X1)
        | disjoint(singleton(X0),X1) ),
    inference(negated_conjecture,[],[f9]) ).

fof(f9,conjecture,
    ! [X0,X1] :
      ( singleton(X0) = set_intersection2(singleton(X0),X1)
      | disjoint(singleton(X0),X1) ),
    file('/export/starexec/sandbox/tmp/tmp.ejhe1CzY6y/Vampire---4.8_18960',t58_zfmisc_1) ).

fof(f32,plain,
    singleton(sK0) = set_intersection2(sK1,singleton(sK0)),
    inference(unit_resulting_resolution,[],[f25,f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | singleton(X0) = set_intersection2(X1,singleton(X0)) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( singleton(X0) = set_intersection2(X1,singleton(X0))
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( in(X0,X1)
     => singleton(X0) = set_intersection2(X1,singleton(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.ejhe1CzY6y/Vampire---4.8_18960',l32_zfmisc_1) ).

fof(f25,plain,
    in(sK0,sK1),
    inference(unit_resulting_resolution,[],[f17,f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( disjoint(singleton(X0),X1)
      | in(X0,X1) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( disjoint(singleton(X0),X1)
      | in(X0,X1) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ~ in(X0,X1)
     => disjoint(singleton(X0),X1) ),
    file('/export/starexec/sandbox/tmp/tmp.ejhe1CzY6y/Vampire---4.8_18960',l28_zfmisc_1) ).

fof(f17,plain,
    ~ disjoint(singleton(sK0),sK1),
    inference(cnf_transformation,[],[f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SET917+1 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.11  % 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
% 0.11/0.31  % Computer : n018.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Fri May  3 16:41:07 EDT 2024
% 0.17/0.31  % CPUTime    : 
% 0.17/0.31  This is a FOF_THM_RFO_SEQ problem
% 0.17/0.31  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.ejhe1CzY6y/Vampire---4.8_18960
% 0.59/0.74  % (19070)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.74  % (19072)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)
% 0.59/0.74  % (19074)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)
% 0.59/0.74  % (19071)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)
% 0.59/0.74  % (19073)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)
% 0.59/0.75  % (19069)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)
% 0.59/0.75  % (19068)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)
% 0.59/0.75  % (19075)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)
% 0.59/0.75  % (19072)Refutation not found, incomplete strategy% (19072)------------------------------
% 0.59/0.75  % (19072)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (19072)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (19072)Memory used [KB]: 966
% 0.59/0.75  % (19072)Time elapsed: 0.002 s
% 0.59/0.75  % (19072)Instructions burned: 2 (million)
% 0.59/0.75  % (19068)Refutation not found, incomplete strategy% (19068)------------------------------
% 0.59/0.75  % (19068)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (19068)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (19068)Memory used [KB]: 966
% 0.59/0.75  % (19068)Time elapsed: 0.003 s
% 0.59/0.75  % (19068)Instructions burned: 2 (million)
% 0.59/0.75  % (19071)Refutation not found, incomplete strategy% (19071)------------------------------
% 0.59/0.75  % (19071)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (19071)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  % (19075)Refutation not found, incomplete strategy% (19075)------------------------------
% 0.59/0.75  % (19075)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  
% 0.59/0.75  % (19073)Also succeeded, but the first one will report.
% 0.59/0.75  % (19071)Memory used [KB]: 967
% 0.59/0.75  % (19071)Time elapsed: 0.003 s
% 0.59/0.75  % (19071)Instructions burned: 2 (million)
% 0.59/0.75  % (19074)First to succeed.
% 0.59/0.75  % (19075)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (19075)Memory used [KB]: 965
% 0.59/0.75  % (19075)Time elapsed: 0.002 s
% 0.59/0.75  % (19075)Instructions burned: 2 (million)
% 0.59/0.75  % (19072)------------------------------
% 0.59/0.75  % (19072)------------------------------
% 0.59/0.75  % (19068)------------------------------
% 0.59/0.75  % (19068)------------------------------
% 0.59/0.75  % (19069)Also succeeded, but the first one will report.
% 0.59/0.75  % (19070)Also succeeded, but the first one will report.
% 0.59/0.75  % (19071)------------------------------
% 0.59/0.75  % (19071)------------------------------
% 0.59/0.75  % (19075)------------------------------
% 0.59/0.75  % (19075)------------------------------
% 0.59/0.75  % (19074)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19067"
% 0.59/0.75  % (19074)Refutation found. Thanks to Tanya!
% 0.59/0.75  % SZS status Theorem for Vampire---4
% 0.59/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.75  % (19074)------------------------------
% 0.59/0.75  % (19074)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (19074)Termination reason: Refutation
% 0.59/0.75  
% 0.59/0.75  % (19074)Memory used [KB]: 974
% 0.59/0.75  % (19074)Time elapsed: 0.003 s
% 0.59/0.75  % (19074)Instructions burned: 3 (million)
% 0.59/0.75  % (19067)Success in time 0.429 s
% 0.59/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------