TSTP Solution File: SEU303+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU303+1 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n023.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 : Wed May  1 03:51:42 EDT 2024

% Result   : Theorem 0.74s 0.96s
% Output   : Refutation 0.74s
% 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(f35,plain,
    $false,
    inference(subsumption_resolution,[],[f34,f21]) ).

fof(f21,plain,
    relation(sK0),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ( ~ finite(relation_rng(sK0))
    & finite(relation_dom(sK0))
    & function(sK0)
    & relation(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f11,f17]) ).

fof(f17,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(f11,plain,
    ? [X0] :
      ( ~ finite(relation_rng(X0))
      & finite(relation_dom(X0))
      & function(X0)
      & relation(X0) ),
    inference(flattening,[],[f10]) ).

fof(f10,plain,
    ? [X0] :
      ( ~ finite(relation_rng(X0))
      & finite(relation_dom(X0))
      & function(X0)
      & relation(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,negated_conjecture,
    ~ ! [X0] :
        ( ( function(X0)
          & relation(X0) )
       => ( finite(relation_dom(X0))
         => finite(relation_rng(X0)) ) ),
    inference(negated_conjecture,[],[f8]) ).

fof(f8,conjecture,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ( finite(relation_dom(X0))
       => finite(relation_rng(X0)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.VmiyTPb70w/Vampire---4.8_26913',t26_finset_1) ).

fof(f34,plain,
    ~ relation(sK0),
    inference(subsumption_resolution,[],[f33,f22]) ).

fof(f22,plain,
    function(sK0),
    inference(cnf_transformation,[],[f18]) ).

fof(f33,plain,
    ( ~ function(sK0)
    | ~ relation(sK0) ),
    inference(subsumption_resolution,[],[f32,f23]) ).

fof(f23,plain,
    finite(relation_dom(sK0)),
    inference(cnf_transformation,[],[f18]) ).

fof(f32,plain,
    ( ~ finite(relation_dom(sK0))
    | ~ function(sK0)
    | ~ relation(sK0) ),
    inference(resolution,[],[f31,f24]) ).

fof(f24,plain,
    ~ finite(relation_rng(sK0)),
    inference(cnf_transformation,[],[f18]) ).

fof(f31,plain,
    ! [X0] :
      ( finite(relation_rng(X0))
      | ~ finite(relation_dom(X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(duplicate_literal_removal,[],[f30]) ).

fof(f30,plain,
    ! [X0] :
      ( finite(relation_rng(X0))
      | ~ finite(relation_dom(X0))
      | ~ function(X0)
      | ~ relation(X0)
      | ~ relation(X0) ),
    inference(superposition,[],[f25,f26]) ).

fof(f26,plain,
    ! [X0] :
      ( relation_image(X0,relation_dom(X0)) = relation_rng(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0] :
      ( relation_image(X0,relation_dom(X0)) = relation_rng(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( relation(X0)
     => relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.VmiyTPb70w/Vampire---4.8_26913',t146_relat_1) ).

fof(f25,plain,
    ! [X0,X1] :
      ( finite(relation_image(X1,X0))
      | ~ finite(X0)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( finite(relation_image(X1,X0))
      | ~ finite(X0)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( finite(relation_image(X1,X0))
      | ~ finite(X0)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ( finite(X0)
       => finite(relation_image(X1,X0)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.VmiyTPb70w/Vampire---4.8_26913',t17_finset_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15  % Problem    : SEU303+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.17  % 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
% 0.15/0.38  % Computer : n023.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit   : 300
% 0.15/0.38  % WCLimit    : 300
% 0.15/0.38  % DateTime   : Tue Apr 30 16:22:56 EDT 2024
% 0.15/0.39  % CPUTime    : 
% 0.15/0.39  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.39  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.VmiyTPb70w/Vampire---4.8_26913
% 0.74/0.96  % (27211)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.74/0.96  % (27209)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)
% 0.74/0.96  % (27210)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)
% 0.74/0.96  % (27212)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)
% 0.74/0.96  % (27213)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)
% 0.74/0.96  % (27214)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)
% 0.74/0.96  % (27215)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)
% 0.74/0.96  % (27216)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)
% 0.74/0.96  % (27214)Refutation not found, incomplete strategy% (27214)------------------------------
% 0.74/0.96  % (27214)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.96  % (27214)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.96  % (27209)Refutation not found, incomplete strategy% (27209)------------------------------
% 0.74/0.96  % (27209)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.96  % (27209)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.96  
% 0.74/0.96  % (27209)Memory used [KB]: 962
% 0.74/0.96  % (27209)Time elapsed: 0.003 s
% 0.74/0.96  % (27209)Instructions burned: 2 (million)
% 0.74/0.96  % (27209)------------------------------
% 0.74/0.96  % (27209)------------------------------
% 0.74/0.96  % (27213)Refutation not found, incomplete strategy% (27213)------------------------------
% 0.74/0.96  % (27213)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.96  % (27213)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.96  
% 0.74/0.96  % (27213)Memory used [KB]: 952
% 0.74/0.96  % (27213)Time elapsed: 0.003 s
% 0.74/0.96  % (27213)Instructions burned: 2 (million)
% 0.74/0.96  % (27213)------------------------------
% 0.74/0.96  % (27213)------------------------------
% 0.74/0.96  
% 0.74/0.96  % (27214)Memory used [KB]: 947
% 0.74/0.96  % (27214)Time elapsed: 0.003 s
% 0.74/0.96  % (27214)Instructions burned: 2 (million)
% 0.74/0.96  % (27214)------------------------------
% 0.74/0.96  % (27214)------------------------------
% 0.74/0.96  % (27216)Refutation not found, incomplete strategy% (27216)------------------------------
% 0.74/0.96  % (27216)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.96  % (27211)First to succeed.
% 0.74/0.96  % (27216)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.96  
% 0.74/0.96  % (27216)Memory used [KB]: 964
% 0.74/0.96  % (27216)Time elapsed: 0.003 s
% 0.74/0.96  % (27216)Instructions burned: 2 (million)
% 0.74/0.96  % (27216)------------------------------
% 0.74/0.96  % (27216)------------------------------
% 0.74/0.96  % (27210)Also succeeded, but the first one will report.
% 0.74/0.96  % (27211)Refutation found. Thanks to Tanya!
% 0.74/0.96  % SZS status Theorem for Vampire---4
% 0.74/0.96  % SZS output start Proof for Vampire---4
% See solution above
% 0.74/0.96  % (27211)------------------------------
% 0.74/0.96  % (27211)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.96  % (27211)Termination reason: Refutation
% 0.74/0.96  
% 0.74/0.96  % (27211)Memory used [KB]: 974
% 0.74/0.96  % (27211)Time elapsed: 0.004 s
% 0.74/0.96  % (27211)Instructions burned: 3 (million)
% 0.74/0.96  % (27211)------------------------------
% 0.74/0.96  % (27211)------------------------------
% 0.74/0.96  % (27138)Success in time 0.567 s
% 0.74/0.96  % Vampire---4.8 exiting
%------------------------------------------------------------------------------