TSTP Solution File: SET605+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET605+3 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n005.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 09:07:31 EDT 2024

% Result   : Theorem 0.78s 0.94s
% Output   : Refutation 0.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   9 unt;   0 def)
%            Number of atoms       :   21 (  12 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   19 (  12   ~;   4   |;   1   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (  14   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f62,plain,
    $false,
    inference(subsumption_resolution,[],[f61,f45]) ).

fof(f45,plain,
    ! [X0,X1] : subset(X0,union(X0,X1)),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] : subset(X0,union(X0,X1)),
    file('/export/starexec/sandbox2/tmp/tmp.a0lg90S7nG/Vampire---4.8_28917',subset_of_union) ).

fof(f61,plain,
    ~ subset(sK0,union(sK0,sK1)),
    inference(trivial_inequality_removal,[],[f60]) ).

fof(f60,plain,
    ( empty_set != empty_set
    | ~ subset(sK0,union(sK0,sK1)) ),
    inference(superposition,[],[f33,f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( difference(X0,X1) = empty_set
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ( difference(X0,X1) = empty_set
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | difference(X0,X1) != empty_set ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( difference(X0,X1) = empty_set
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.a0lg90S7nG/Vampire---4.8_28917',difference_empty_set) ).

fof(f33,plain,
    empty_set != difference(sK0,union(sK0,sK1)),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    empty_set != difference(sK0,union(sK0,sK1)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f14,f16]) ).

fof(f16,plain,
    ( ? [X0,X1] : empty_set != difference(X0,union(X0,X1))
   => empty_set != difference(sK0,union(sK0,sK1)) ),
    introduced(choice_axiom,[]) ).

fof(f14,plain,
    ? [X0,X1] : empty_set != difference(X0,union(X0,X1)),
    inference(ennf_transformation,[],[f13]) ).

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

fof(f12,conjecture,
    ! [X0,X1] : empty_set = difference(X0,union(X0,X1)),
    file('/export/starexec/sandbox2/tmp/tmp.a0lg90S7nG/Vampire---4.8_28917',prove_th76) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem    : SET605+3 : TPTP v8.1.2. Released v2.2.0.
% 0.05/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36  % Computer : n005.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 16:56:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.a0lg90S7nG/Vampire---4.8_28917
% 0.72/0.93  % (29141)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)
% 0.72/0.93  % (29143)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)
% 0.72/0.93  % (29142)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.72/0.93  % (29140)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)
% 0.72/0.93  % (29144)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)
% 0.72/0.93  % (29145)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)
% 0.72/0.93  % (29146)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)
% 0.72/0.93  % (29147)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)
% 0.72/0.93  % (29145)First to succeed.
% 0.72/0.93  % (29146)Also succeeded, but the first one will report.
% 0.72/0.93  % (29141)Also succeeded, but the first one will report.
% 0.72/0.93  % (29144)Also succeeded, but the first one will report.
% 0.72/0.93  % (29142)Also succeeded, but the first one will report.
% 0.72/0.93  % (29145)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29139"
% 0.72/0.93  % (29143)Also succeeded, but the first one will report.
% 0.72/0.93  % (29147)Also succeeded, but the first one will report.
% 0.72/0.93  % (29140)Also succeeded, but the first one will report.
% 0.78/0.94  % (29145)Refutation found. Thanks to Tanya!
% 0.78/0.94  % SZS status Theorem for Vampire---4
% 0.78/0.94  % SZS output start Proof for Vampire---4
% See solution above
% 0.78/0.94  % (29145)------------------------------
% 0.78/0.94  % (29145)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.94  % (29145)Termination reason: Refutation
% 0.78/0.94  
% 0.78/0.94  % (29145)Memory used [KB]: 967
% 0.78/0.94  % (29145)Time elapsed: 0.003 s
% 0.78/0.94  % (29145)Instructions burned: 3 (million)
% 0.78/0.94  % (29139)Success in time 0.569 s
% 0.78/0.94  % Vampire---4.8 exiting
%------------------------------------------------------------------------------