TSTP Solution File: SEU294+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU294+1 : TPTP v8.2.0. Released v3.3.0.
% 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 : n025.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 03:46:35 EDT 2024

% Result   : Theorem 0.71s 0.91s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (   5 unt;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   44 (  16   ~;   9   |;  12   &)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   26 (  20   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f95,plain,
    $false,
    inference(subsumption_resolution,[],[f94,f75]) ).

fof(f75,plain,
    ~ finite(sK0),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ( ~ finite(sK0)
    & finite(sK1)
    & subset(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f60,f65]) ).

fof(f65,plain,
    ( ? [X0,X1] :
        ( ~ finite(X0)
        & finite(X1)
        & subset(X0,X1) )
   => ( ~ finite(sK0)
      & finite(sK1)
      & subset(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f60,plain,
    ? [X0,X1] :
      ( ~ finite(X0)
      & finite(X1)
      & subset(X0,X1) ),
    inference(flattening,[],[f59]) ).

fof(f59,plain,
    ? [X0,X1] :
      ( ~ finite(X0)
      & finite(X1)
      & subset(X0,X1) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( finite(X1)
          & subset(X0,X1) )
       => finite(X0) ),
    inference(negated_conjecture,[],[f40]) ).

fof(f40,conjecture,
    ! [X0,X1] :
      ( ( finite(X1)
        & subset(X0,X1) )
     => finite(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_finset_1) ).

fof(f94,plain,
    finite(sK0),
    inference(subsumption_resolution,[],[f92,f74]) ).

fof(f74,plain,
    finite(sK1),
    inference(cnf_transformation,[],[f66]) ).

fof(f92,plain,
    ( ~ finite(sK1)
    | finite(sK0) ),
    inference(resolution,[],[f91,f73]) ).

fof(f73,plain,
    subset(sK0,sK1),
    inference(cnf_transformation,[],[f66]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | ~ finite(X1)
      | finite(X0) ),
    inference(resolution,[],[f84,f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
     => element(X0,powerset(X1)) ),
    inference(unused_predicate_definition_removal,[],[f44]) ).

fof(f44,axiom,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ~ element(X1,powerset(X0))
      | finite(X1)
      | ~ finite(X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ! [X1] :
          ( finite(X1)
          | ~ element(X1,powerset(X0)) )
      | ~ finite(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( finite(X0)
     => ! [X1] :
          ( element(X1,powerset(X0))
         => finite(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_finset_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU294+1 : TPTP v8.2.0. Released v3.3.0.
% 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
% 0.16/0.39  % Computer : n025.cluster.edu
% 0.16/0.39  % Model    : x86_64 x86_64
% 0.16/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.39  % Memory   : 8042.1875MB
% 0.16/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.40  % CPULimit   : 300
% 0.16/0.40  % WCLimit    : 300
% 0.16/0.40  % DateTime   : Sun May 19 18:02:38 EDT 2024
% 0.16/0.40  % CPUTime    : 
% 0.16/0.40  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.40  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
% 0.71/0.91  % (17154)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 (2994ds/34Mi)
% 0.71/0.91  % (17155)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 (2994ds/51Mi)
% 0.71/0.91  % (17156)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.71/0.91  % (17157)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.71/0.91  % (17158)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 (2994ds/34Mi)
% 0.71/0.91  % (17159)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.71/0.91  % (17160)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 (2994ds/83Mi)
% 0.71/0.91  % (17161)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 (2994ds/56Mi)
% 0.71/0.91  % (17159)Refutation not found, incomplete strategy% (17159)------------------------------
% 0.71/0.91  % (17159)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.91  % (17159)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.91  
% 0.71/0.91  % (17159)Memory used [KB]: 965
% 0.71/0.91  % (17159)Time elapsed: 0.003 s
% 0.71/0.91  % (17159)Instructions burned: 2 (million)
% 0.71/0.91  % (17154)First to succeed.
% 0.71/0.91  % (17157)Also succeeded, but the first one will report.
% 0.71/0.91  % (17159)------------------------------
% 0.71/0.91  % (17159)------------------------------
% 0.71/0.91  % (17161)Also succeeded, but the first one will report.
% 0.71/0.91  % (17154)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17153"
% 0.71/0.91  % (17158)Refutation not found, incomplete strategy% (17158)------------------------------
% 0.71/0.91  % (17158)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.91  % (17158)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.91  
% 0.71/0.91  % (17158)Memory used [KB]: 1114
% 0.71/0.91  % (17158)Time elapsed: 0.004 s
% 0.71/0.91  % (17158)Instructions burned: 4 (million)
% 0.71/0.91  % (17160)Also succeeded, but the first one will report.
% 0.71/0.91  % (17158)------------------------------
% 0.71/0.91  % (17158)------------------------------
% 0.71/0.91  % (17154)Refutation found. Thanks to Tanya!
% 0.71/0.91  % SZS status Theorem for theBenchmark
% 0.71/0.91  % SZS output start Proof for theBenchmark
% See solution above
% 0.71/0.91  % (17154)------------------------------
% 0.71/0.91  % (17154)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.91  % (17154)Termination reason: Refutation
% 0.71/0.91  
% 0.71/0.91  % (17154)Memory used [KB]: 986
% 0.71/0.91  % (17154)Time elapsed: 0.004 s
% 0.71/0.91  % (17154)Instructions burned: 3 (million)
% 0.71/0.91  % (17153)Success in time 0.503 s
% 0.71/0.91  % Vampire---4.8 exiting
%------------------------------------------------------------------------------