TSTP Solution File: SEU303+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU303+3 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n008.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 09:22:06 EDT 2024

% Result   : Theorem 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (   6 unt;   0 def)
%            Number of atoms       :   70 (   3 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   78 (  31   ~;  21   |;  18   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   18 (  15   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f384,plain,
    $false,
    inference(subsumption_resolution,[],[f383,f166]) ).

fof(f166,plain,
    relation(sK0),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ( ~ finite(relation_rng(sK0))
    & finite(relation_dom(sK0))
    & function(sK0)
    & relation(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f83,f116]) ).

fof(f116,plain,
    ( ? [X0] :
        ( ~ finite(relation_rng(X0))
        & finite(relation_dom(X0))
        & function(X0)
        & relation(X0) )
   => ( ~ finite(relation_rng(sK0))
      & finite(relation_dom(sK0))
      & function(sK0)
      & relation(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f83,plain,
    ? [X0] :
      ( ~ finite(relation_rng(X0))
      & finite(relation_dom(X0))
      & function(X0)
      & relation(X0) ),
    inference(flattening,[],[f82]) ).

fof(f82,plain,
    ? [X0] :
      ( ~ finite(relation_rng(X0))
      & finite(relation_dom(X0))
      & function(X0)
      & relation(X0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,negated_conjecture,
    ~ ! [X0] :
        ( ( function(X0)
          & relation(X0) )
       => ( finite(relation_dom(X0))
         => finite(relation_rng(X0)) ) ),
    inference(negated_conjecture,[],[f56]) ).

fof(f56,conjecture,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ( finite(relation_dom(X0))
       => finite(relation_rng(X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.7jsx69TKDw/Vampire---4.8_32417',t26_finset_1) ).

fof(f383,plain,
    ~ relation(sK0),
    inference(subsumption_resolution,[],[f382,f167]) ).

fof(f167,plain,
    function(sK0),
    inference(cnf_transformation,[],[f117]) ).

fof(f382,plain,
    ( ~ function(sK0)
    | ~ relation(sK0) ),
    inference(subsumption_resolution,[],[f380,f168]) ).

fof(f168,plain,
    finite(relation_dom(sK0)),
    inference(cnf_transformation,[],[f117]) ).

fof(f380,plain,
    ( ~ finite(relation_dom(sK0))
    | ~ function(sK0)
    | ~ relation(sK0) ),
    inference(resolution,[],[f368,f169]) ).

fof(f169,plain,
    ~ finite(relation_rng(sK0)),
    inference(cnf_transformation,[],[f117]) ).

fof(f368,plain,
    ! [X0] :
      ( finite(relation_rng(X0))
      | ~ finite(relation_dom(X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(duplicate_literal_removal,[],[f366]) ).

fof(f366,plain,
    ! [X0] :
      ( finite(relation_rng(X0))
      | ~ finite(relation_dom(X0))
      | ~ function(X0)
      | ~ relation(X0)
      | ~ relation(X0) ),
    inference(superposition,[],[f180,f170]) ).

fof(f170,plain,
    ! [X0] :
      ( relation_rng(X0) = relation_image(X0,relation_dom(X0))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0] :
      ( relation_rng(X0) = relation_image(X0,relation_dom(X0))
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,axiom,
    ! [X0] :
      ( relation(X0)
     => relation_rng(X0) = relation_image(X0,relation_dom(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.7jsx69TKDw/Vampire---4.8_32417',t146_relat_1) ).

fof(f180,plain,
    ! [X0,X1] :
      ( finite(relation_image(X1,X0))
      | ~ finite(X0)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( finite(relation_image(X1,X0))
      | ~ finite(X0)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( finite(relation_image(X1,X0))
      | ~ finite(X0)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ( finite(X0)
       => finite(relation_image(X1,X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.7jsx69TKDw/Vampire---4.8_32417',t17_finset_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SEU303+3 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.15  % 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
% 0.15/0.36  % Computer : n008.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 11:10:27 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  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.7jsx69TKDw/Vampire---4.8_32417
% 0.61/0.76  % (32766)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)
% 0.61/0.76  % (32759)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 (2996ds/34Mi)
% 0.61/0.76  % (32761)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.76  % (32766)Refutation not found, incomplete strategy% (32766)------------------------------
% 0.61/0.76  % (32766)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (32766)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (32766)Memory used [KB]: 1054
% 0.61/0.76  % (32766)Time elapsed: 0.002 s
% 0.61/0.76  % (32766)Instructions burned: 3 (million)
% 0.61/0.76  % (32762)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)
% 0.61/0.76  % (32764)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)
% 0.61/0.76  % (32763)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)
% 0.61/0.76  % (32760)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)
% 0.61/0.76  % (32765)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)
% 0.61/0.76  % (32766)------------------------------
% 0.61/0.76  % (32766)------------------------------
% 0.61/0.76  % (32764)Refutation not found, incomplete strategy% (32764)------------------------------
% 0.61/0.76  % (32764)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (32764)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (32764)Memory used [KB]: 1053
% 0.61/0.76  % (32764)Time elapsed: 0.004 s
% 0.61/0.76  % (32764)Instructions burned: 3 (million)
% 0.61/0.76  % (32759)Refutation not found, incomplete strategy% (32759)------------------------------
% 0.61/0.76  % (32759)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (32759)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (32759)Memory used [KB]: 1052
% 0.61/0.76  % (32759)Time elapsed: 0.003 s
% 0.61/0.76  % (32759)Instructions burned: 4 (million)
% 0.61/0.76  % (32764)------------------------------
% 0.61/0.76  % (32764)------------------------------
% 0.61/0.76  % (32759)------------------------------
% 0.61/0.76  % (32759)------------------------------
% 0.61/0.76  % (300)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.61/0.76  % (32763)Refutation not found, incomplete strategy% (32763)------------------------------
% 0.61/0.76  % (32763)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (32763)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (32763)Memory used [KB]: 1153
% 0.61/0.76  % (32763)Time elapsed: 0.005 s
% 0.61/0.76  % (32763)Instructions burned: 6 (million)
% 0.61/0.77  % (32763)------------------------------
% 0.61/0.77  % (32763)------------------------------
% 0.61/0.77  % (32761)First to succeed.
% 0.61/0.77  % (302)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.61/0.77  % (303)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.61/0.77  % (32761)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32596"
% 0.61/0.77  % (32761)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Theorem for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (32761)------------------------------
% 0.61/0.77  % (32761)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (32761)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (32761)Memory used [KB]: 1166
% 0.61/0.77  % (32761)Time elapsed: 0.008 s
% 0.61/0.77  % (32761)Instructions burned: 11 (million)
% 0.61/0.77  % (32596)Success in time 0.399 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------