TSTP Solution File: SET080-7 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET080-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : n012.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 03:44:49 EDT 2024

% Result   : Unsatisfiable 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   5 unt;   0 def)
%            Number of atoms       :    9 (   1 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f148,plain,
    $false,
    inference(unit_resulting_resolution,[],[f107,f126,f128]) ).

fof(f128,plain,
    ! [X0] :
      ( member(X0,unordered_pair(X0,X0))
      | ~ member(X0,universal_class) ),
    inference(definition_unfolding,[],[f122,f12]) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox/tmp/tmp.X8FAqz3Huv/Vampire---4.8_5525',singleton_set) ).

fof(f122,axiom,
    ! [X0] :
      ( member(X0,singleton(X0))
      | ~ member(X0,universal_class) ),
    file('/export/starexec/sandbox/tmp/tmp.X8FAqz3Huv/Vampire---4.8_5525',set_in_its_singleton) ).

fof(f126,plain,
    ~ member(null_class,unordered_pair(null_class,null_class)),
    inference(definition_unfolding,[],[f124,f12]) ).

fof(f124,axiom,
    ~ member(null_class,singleton(null_class)),
    file('/export/starexec/sandbox/tmp/tmp.X8FAqz3Huv/Vampire---4.8_5525',prove_null_class_in_its_singleton_1) ).

fof(f107,axiom,
    member(null_class,universal_class),
    file('/export/starexec/sandbox/tmp/tmp.X8FAqz3Huv/Vampire---4.8_5525',null_class_is_a_set) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET080-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14  % 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 : n012.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   : Tue Apr 30 17:05:41 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_SEQ_NHN 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.X8FAqz3Huv/Vampire---4.8_5525
% 0.55/0.75  % (5783)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)
% 0.55/0.75  % (5780)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)
% 0.55/0.75  % (5778)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)
% 0.55/0.75  % (5779)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (5782)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)
% 0.55/0.75  % (5784)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)
% 0.55/0.75  % (5783)First to succeed.
% 0.55/0.75  % (5781)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)
% 0.55/0.75  % (5783)Refutation found. Thanks to Tanya!
% 0.55/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.55/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75  % (5783)------------------------------
% 0.55/0.75  % (5783)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (5783)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (5783)Memory used [KB]: 1078
% 0.55/0.75  % (5783)Time elapsed: 0.003 s
% 0.55/0.75  % (5783)Instructions burned: 5 (million)
% 0.55/0.75  % (5783)------------------------------
% 0.55/0.75  % (5783)------------------------------
% 0.55/0.75  % (5773)Success in time 0.388 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------