TSTP Solution File: SET904+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET904+1 : TPTP v8.2.0. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n016.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 : Tue May 21 03:13:51 EDT 2024

% Result   : Theorem 0.70s 0.88s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   18 (   8   ~;   2   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   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   :   14 (  10   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,plain,
    $false,
    inference(unit_resulting_resolution,[],[f19,f18,f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ~ subset(set_union2(singleton(X0),X1),X1)
      | in(X0,X1) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | ~ subset(set_union2(singleton(X0),X1),X1) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( subset(set_union2(singleton(X0),X1),X1)
     => in(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l21_zfmisc_1) ).

fof(f18,plain,
    subset(set_union2(singleton(sK0),sK1),sK1),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ( ~ in(sK0,sK1)
    & subset(set_union2(singleton(sK0),sK1),sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f13,f16]) ).

fof(f16,plain,
    ( ? [X0,X1] :
        ( ~ in(X0,X1)
        & subset(set_union2(singleton(X0),X1),X1) )
   => ( ~ in(sK0,sK1)
      & subset(set_union2(singleton(sK0),sK1),sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f13,plain,
    ? [X0,X1] :
      ( ~ in(X0,X1)
      & subset(set_union2(singleton(X0),X1),X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,negated_conjecture,
    ~ ! [X0,X1] :
        ( subset(set_union2(singleton(X0),X1),X1)
       => in(X0,X1) ),
    inference(negated_conjecture,[],[f9]) ).

fof(f9,conjecture,
    ! [X0,X1] :
      ( subset(set_union2(singleton(X0),X1),X1)
     => in(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_zfmisc_1) ).

fof(f19,plain,
    ~ in(sK0,sK1),
    inference(cnf_transformation,[],[f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET904+1 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.38  % Computer : n016.cluster.edu
% 0.14/0.38  % Model    : x86_64 x86_64
% 0.14/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38  % Memory   : 8042.1875MB
% 0.14/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38  % CPULimit   : 300
% 0.14/0.38  % WCLimit    : 300
% 0.14/0.38  % DateTime   : Mon May 20 12:00:08 EDT 2024
% 0.14/0.38  % CPUTime    : 
% 0.14/0.38  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.38  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/benchmark/theBenchmark.p
% 0.70/0.88  % (2169)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 theBenchmark for (2995ds/34Mi)
% 0.70/0.88  % (2171)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.70/0.88  % (2172)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.70/0.88  % (2170)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 theBenchmark for (2995ds/51Mi)
% 0.70/0.88  % (2173)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 theBenchmark for (2995ds/34Mi)
% 0.70/0.88  % (2174)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.70/0.88  % (2175)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 theBenchmark for (2995ds/83Mi)
% 0.70/0.88  % (2176)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.70/0.88  % (2173)Also succeeded, but the first one will report.
% 0.70/0.88  % (2174)Also succeeded, but the first one will report.
% 0.70/0.88  % (2172)First to succeed.
% 0.70/0.88  % (2169)Also succeeded, but the first one will report.
% 0.70/0.88  % (2175)Also succeeded, but the first one will report.
% 0.70/0.88  % (2176)Also succeeded, but the first one will report.
% 0.70/0.88  % (2172)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2168"
% 0.70/0.88  % (2170)Also succeeded, but the first one will report.
% 0.70/0.88  % (2171)Also succeeded, but the first one will report.
% 0.70/0.88  % (2172)Refutation found. Thanks to Tanya!
% 0.70/0.88  % SZS status Theorem for theBenchmark
% 0.70/0.88  % SZS output start Proof for theBenchmark
% See solution above
% 0.70/0.88  % (2172)------------------------------
% 0.70/0.88  % (2172)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.88  % (2172)Termination reason: Refutation
% 0.70/0.88  
% 0.70/0.88  % (2172)Memory used [KB]: 959
% 0.70/0.88  % (2172)Time elapsed: 0.003 s
% 0.70/0.88  % (2172)Instructions burned: 2 (million)
% 0.70/0.88  % (2168)Success in time 0.493 s
% 0.70/0.88  % Vampire---4.8 exiting
%------------------------------------------------------------------------------