%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU083+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 : n027.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 09:20:11 EDT 2024

% Result   : Theorem 0.61s 0.82s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   5 unt;   1 typ;   0 def)
%            Number of atoms       :   67 (   0 equ)
%            Maximal formula atoms :    6 (   4 avg)
%            Number of connectives :   40 (  16   ~;   7   |;  13   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   27 (  27 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   19 (  12   !;   6   ?;   3   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_19,type,
    sQ5_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f123,plain,
    $false,
    inference(subsumption_resolution,[],[f122,f92]) ).

tff(f92,plain,
    finite(sK0),
    inference(cnf_transformation,[],[f85]) ).

tff(f85,plain,
    ( ~ finite(set_union2(sK0,sK1))
    & finite(sK1)
    & finite(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f72,f84]) ).

tff(f84,plain,
    ( ? [X0,X1] :
        ( ~ finite(set_union2(X0,X1))
        & finite(X1)
        & finite(X0) )
   => ( ~ finite(set_union2(sK0,sK1))
      & finite(sK1)
      & finite(sK0) ) ),
    introduced(choice_axiom,[]) ).

tff(f72,plain,
    ? [X0,X1] :
      ( ~ finite(set_union2(X0,X1))
      & finite(X1)
      & finite(X0) ),
    inference(flattening,[],[f71]) ).

tff(f71,plain,
    ? [X0,X1] :
      ( ~ finite(set_union2(X0,X1))
      & finite(X1)
      & finite(X0) ),
    inference(ennf_transformation,[],[f62]) ).

tff(f62,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( finite(X1)
          & finite(X0) )
       => finite(set_union2(X0,X1)) ),
    inference(negated_conjecture,[],[f61]) ).

tff(f61,conjecture,
    ! [X0,X1] :
      ( ( finite(X1)
        & finite(X0) )
     => finite(set_union2(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.LDalZeYh2C/Vampire---4.8_22167',t14_finset_1) ).

tff(f122,plain,
    ~ finite(sK0),
    inference(subsumption_resolution,[],[f121,f93]) ).

tff(f93,plain,
    finite(sK1),
    inference(cnf_transformation,[],[f85]) ).

tff(f121,plain,
    ( ~ finite(sK1)
    | ~ finite(sK0) ),
    inference(resolution,[],[f95,f94]) ).

tff(f94,plain,
    ~ finite(set_union2(sK0,sK1)),
    inference(cnf_transformation,[],[f85]) ).

tff(f95,plain,
    ! [X0: $i,X1: $i] :
      ( finite(set_union2(X0,X1))
      | ~ finite(X1)
      | ~ finite(X0) ),
    inference(cnf_transformation,[],[f74]) ).

tff(f74,plain,
    ! [X0,X1] :
      ( finite(set_union2(X0,X1))
      | ~ finite(X1)
      | ~ finite(X0) ),
    inference(flattening,[],[f73]) ).

tff(f73,plain,
    ! [X0,X1] :
      ( finite(set_union2(X0,X1))
      | ~ finite(X1)
      | ~ finite(X0) ),
    inference(ennf_transformation,[],[f63]) ).

tff(f63,axiom,
    ! [X0,X1] :
      ( ( finite(X1)
        & finite(X0) )
     => finite(set_union2(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.LDalZeYh2C/Vampire---4.8_22167',l3_finset_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU083+1 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n027.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 11:38:06 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35  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.LDalZeYh2C/Vampire---4.8_22167
% 0.61/0.82  % (22496)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)
% 0.61/0.82  % (22494)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)
% 0.61/0.82  % (22497)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)
% 0.61/0.82  % (22493)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)
% 0.61/0.82  % (22495)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.82  % (22498)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)
% 0.61/0.82  % (22499)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)
% 0.61/0.82  % (22500)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)
% 0.61/0.82  % (22498)Also succeeded, but the first one will report.
% 0.61/0.82  % (22496)Also succeeded, but the first one will report.
% 0.61/0.82  % (22493)First to succeed.
% 0.61/0.82  % (22500)Also succeeded, but the first one will report.
% 0.61/0.82  % (22493)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22401"
% 0.61/0.82  % (22497)Also succeeded, but the first one will report.
% 0.61/0.82  % (22499)Also succeeded, but the first one will report.
% 0.61/0.82  % (22493)Refutation found. Thanks to Tanya!
% 0.61/0.82  % SZS status Theorem for Vampire---4
% 0.61/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.82  % (22493)------------------------------
% 0.61/0.82  % (22493)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82  % (22493)Termination reason: Refutation
% 0.61/0.82  
% 0.61/0.82  % (22493)Memory used [KB]: 989
% 0.61/0.82  % (22493)Time elapsed: 0.004 s
% 0.61/0.82  % (22493)Instructions burned: 3 (million)
% 0.61/0.82  % (22401)Success in time 0.465 s
% 0.61/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------