TSTP Solution File: SEU041+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU041+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n024.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 03:49:51 EDT 2024

% Result   : Theorem 0.52s 0.75s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (   7 unt;   0 def)
%            Number of atoms       :   63 (  23 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   60 (  22   ~;  18   |;  10   &)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   36 (  30   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f148,plain,
    $false,
    inference(avatar_sat_refutation,[],[f120,f146,f147]) ).

fof(f147,plain,
    spl14_2,
    inference(avatar_split_clause,[],[f129,f117]) ).

fof(f117,plain,
    ( spl14_2
  <=> relation_dom_restriction(sK2,sK0) = relation_dom_restriction(relation_dom_restriction(sK2,sK0),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).

fof(f129,plain,
    relation_dom_restriction(sK2,sK0) = relation_dom_restriction(relation_dom_restriction(sK2,sK0),sK1),
    inference(unit_resulting_resolution,[],[f62,f64,f66]) ).

fof(f66,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ relation(X2)
      | relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X0),X1) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1,X2] :
      ( relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X0),X1)
      | ~ subset(X0,X1)
      | ~ relation(X2) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1,X2] :
      ( relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X0),X1)
      | ~ subset(X0,X1)
      | ~ relation(X2) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,axiom,
    ! [X0,X1,X2] :
      ( relation(X2)
     => ( subset(X0,X1)
       => relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X0),X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.dvKgFrfUOL/Vampire---4.8_11284',t102_relat_1) ).

fof(f64,plain,
    subset(sK0,sK1),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ? [X0,X1,X2] :
      ( ( relation_dom_restriction(X2,X0) != relation_dom_restriction(relation_dom_restriction(X2,X1),X0)
        | relation_dom_restriction(X2,X0) != relation_dom_restriction(relation_dom_restriction(X2,X0),X1) )
      & subset(X0,X1)
      & function(X2)
      & relation(X2) ),
    inference(flattening,[],[f37]) ).

fof(f37,plain,
    ? [X0,X1,X2] :
      ( ( relation_dom_restriction(X2,X0) != relation_dom_restriction(relation_dom_restriction(X2,X1),X0)
        | relation_dom_restriction(X2,X0) != relation_dom_restriction(relation_dom_restriction(X2,X0),X1) )
      & subset(X0,X1)
      & function(X2)
      & relation(X2) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( function(X2)
          & relation(X2) )
       => ( subset(X0,X1)
         => ( relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X1),X0)
            & relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X0),X1) ) ) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f32,conjecture,
    ! [X0,X1,X2] :
      ( ( function(X2)
        & relation(X2) )
     => ( subset(X0,X1)
       => ( relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X1),X0)
          & relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X0),X1) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.dvKgFrfUOL/Vampire---4.8_11284',t82_funct_1) ).

fof(f62,plain,
    relation(sK2),
    inference(cnf_transformation,[],[f38]) ).

fof(f146,plain,
    spl14_1,
    inference(avatar_contradiction_clause,[],[f145]) ).

fof(f145,plain,
    ( $false
    | spl14_1 ),
    inference(subsumption_resolution,[],[f137,f115]) ).

fof(f115,plain,
    ( relation_dom_restriction(sK2,sK0) != relation_dom_restriction(relation_dom_restriction(sK2,sK1),sK0)
    | spl14_1 ),
    inference(avatar_component_clause,[],[f113]) ).

fof(f113,plain,
    ( spl14_1
  <=> relation_dom_restriction(sK2,sK0) = relation_dom_restriction(relation_dom_restriction(sK2,sK1),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).

fof(f137,plain,
    relation_dom_restriction(sK2,sK0) = relation_dom_restriction(relation_dom_restriction(sK2,sK1),sK0),
    inference(unit_resulting_resolution,[],[f62,f64,f65]) ).

fof(f65,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ relation(X2)
      | relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X1),X0) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1,X2] :
      ( relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X1),X0)
      | ~ subset(X0,X1)
      | ~ relation(X2) ),
    inference(flattening,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1,X2] :
      ( relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X1),X0)
      | ~ subset(X0,X1)
      | ~ relation(X2) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X0,X1,X2] :
      ( relation(X2)
     => ( subset(X0,X1)
       => relation_dom_restriction(X2,X0) = relation_dom_restriction(relation_dom_restriction(X2,X1),X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.dvKgFrfUOL/Vampire---4.8_11284',t103_relat_1) ).

fof(f120,plain,
    ( ~ spl14_1
    | ~ spl14_2 ),
    inference(avatar_split_clause,[],[f61,f117,f113]) ).

fof(f61,plain,
    ( relation_dom_restriction(sK2,sK0) != relation_dom_restriction(relation_dom_restriction(sK2,sK0),sK1)
    | relation_dom_restriction(sK2,sK0) != relation_dom_restriction(relation_dom_restriction(sK2,sK1),sK0) ),
    inference(cnf_transformation,[],[f38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU041+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Apr 30 16:15:36 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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.dvKgFrfUOL/Vampire---4.8_11284
% 0.52/0.75  % (11641)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)
% 0.52/0.75  % (11637)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.52/0.75  % (11635)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)
% 0.52/0.75  % (11639)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)
% 0.52/0.75  % (11638)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)
% 0.52/0.75  % (11636)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)
% 0.52/0.75  % (11642)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)
% 0.52/0.75  % (11640)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)
% 0.52/0.75  % (11641)First to succeed.
% 0.52/0.75  % (11642)Also succeeded, but the first one will report.
% 0.52/0.75  % (11641)Refutation found. Thanks to Tanya!
% 0.52/0.75  % SZS status Theorem for Vampire---4
% 0.52/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75  % (11641)------------------------------
% 0.58/0.75  % (11641)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (11641)Termination reason: Refutation
% 0.58/0.75  
% 0.58/0.75  % (11641)Memory used [KB]: 1060
% 0.58/0.75  % (11641)Time elapsed: 0.003 s
% 0.58/0.75  % (11641)Instructions burned: 5 (million)
% 0.58/0.75  % (11641)------------------------------
% 0.58/0.75  % (11641)------------------------------
% 0.58/0.75  % (11478)Success in time 0.383 s
% 0.58/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------