TSTP Solution File: SET366+4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET366+4 : TPTP v8.1.2. Released v2.2.0.
% 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 : n026.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 09:05:52 EDT 2024

% Result   : Theorem 0.57s 0.76s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   9 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (   9   ~;   3   |;   0   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   20 (  19   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f28,plain,
    $false,
    inference(unit_resulting_resolution,[],[f21,f25,f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( member(sK1(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gVIr20DbmG/Vampire---4.8_7419',subset) ).

fof(f25,plain,
    ~ subset(empty_set,sK0),
    inference(unit_resulting_resolution,[],[f18,f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( member(X0,power_set(X1))
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( member(X0,power_set(X1))
    <=> subset(X0,X1) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X2,X0] :
      ( member(X2,power_set(X0))
    <=> subset(X2,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.gVIr20DbmG/Vampire---4.8_7419',power_set) ).

fof(f18,plain,
    ~ member(empty_set,power_set(sK0)),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ? [X0] : ~ member(empty_set,power_set(X0)),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ! [X0] : member(empty_set,power_set(X0)),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ! [X0] : member(empty_set,power_set(X0)),
    file('/export/starexec/sandbox/tmp/tmp.gVIr20DbmG/Vampire---4.8_7419',thI47) ).

fof(f21,plain,
    ! [X0] : ~ member(X0,empty_set),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0] : ~ member(X0,empty_set),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X2] : ~ member(X2,empty_set),
    file('/export/starexec/sandbox/tmp/tmp.gVIr20DbmG/Vampire---4.8_7419',empty_set) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SET366+4 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.15  % 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
% 0.16/0.37  % Computer : n026.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Fri May  3 16:56:53 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  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.gVIr20DbmG/Vampire---4.8_7419
% 0.57/0.76  % (7803)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)
% 0.57/0.76  % (7803)Refutation not found, incomplete strategy% (7803)------------------------------
% 0.57/0.76  % (7803)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (7803)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (7803)Memory used [KB]: 959
% 0.57/0.76  % (7803)Time elapsed: 0.001 s
% 0.57/0.76  % (7803)Instructions burned: 2 (million)
% 0.57/0.76  % (7803)------------------------------
% 0.57/0.76  % (7803)------------------------------
% 0.57/0.76  % (7796)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)
% 0.57/0.76  % (7797)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)
% 0.57/0.76  % (7799)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)
% 0.57/0.76  % (7801)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)
% 0.57/0.76  % (7800)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)
% 0.57/0.76  % (7798)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76  % (7802)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)
% 0.57/0.76  % (7796)Refutation not found, incomplete strategy% (7796)------------------------------
% 0.57/0.76  % (7796)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (7796)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (7796)Memory used [KB]: 953
% 0.57/0.76  % (7796)Time elapsed: 0.002 s
% 0.57/0.76  % (7796)Instructions burned: 2 (million)
% 0.57/0.76  % (7799)Refutation not found, incomplete strategy% (7799)------------------------------
% 0.57/0.76  % (7799)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (7799)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (7799)Memory used [KB]: 953
% 0.57/0.76  % (7799)Time elapsed: 0.002 s
% 0.57/0.76  % (7799)Instructions burned: 2 (million)
% 0.57/0.76  % (7796)------------------------------
% 0.57/0.76  % (7796)------------------------------
% 0.57/0.76  % (7799)------------------------------
% 0.57/0.76  % (7799)------------------------------
% 0.57/0.76  % (7801)Refutation not found, incomplete strategy% (7801)------------------------------
% 0.57/0.76  % (7801)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (7801)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (7801)Memory used [KB]: 974
% 0.57/0.76  % (7801)Time elapsed: 0.002 s
% 0.57/0.76  % (7801)Instructions burned: 2 (million)
% 0.57/0.76  % (7801)------------------------------
% 0.57/0.76  % (7801)------------------------------
% 0.57/0.76  % (7798)Also succeeded, but the first one will report.
% 0.57/0.76  % (7802)First to succeed.
% 0.57/0.76  % (7800)Refutation not found, incomplete strategy% (7800)------------------------------
% 0.57/0.76  % (7800)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (7800)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (7800)Memory used [KB]: 1048
% 0.57/0.76  % (7800)Time elapsed: 0.003 s
% 0.57/0.76  % (7800)Instructions burned: 3 (million)
% 0.57/0.76  % (7797)Also succeeded, but the first one will report.
% 0.57/0.76  % (7800)------------------------------
% 0.57/0.76  % (7800)------------------------------
% 0.57/0.76  % (7802)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7663"
% 0.57/0.76  % (7805)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)
% 0.57/0.76  % (7805)Refutation not found, incomplete strategy% (7805)------------------------------
% 0.57/0.76  % (7805)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (7805)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (7805)Memory used [KB]: 953
% 0.57/0.76  % (7805)Time elapsed: 0.001 s
% 0.57/0.76  % (7805)Instructions burned: 2 (million)
% 0.57/0.76  % (7805)------------------------------
% 0.57/0.76  % (7805)------------------------------
% 0.57/0.76  % (7802)Refutation found. Thanks to Tanya!
% 0.57/0.76  % SZS status Theorem for Vampire---4
% 0.57/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76  % (7802)------------------------------
% 0.57/0.76  % (7802)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (7802)Termination reason: Refutation
% 0.57/0.76  
% 0.57/0.76  % (7802)Memory used [KB]: 970
% 0.57/0.76  % (7802)Time elapsed: 0.003 s
% 0.57/0.76  % (7802)Instructions burned: 2 (million)
% 0.57/0.76  % (7663)Success in time 0.382 s
% 0.57/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------