TSTP Solution File: SET658+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET658+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : n018.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 03:48:30 EDT 2024

% Result   : Theorem 0.57s 0.73s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (   7 unt;   0 def)
%            Number of atoms       :   46 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   48 (  23   ~;  14   |;   4   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (  16   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f207,plain,
    $false,
    inference(subsumption_resolution,[],[f206,f128]) ).

fof(f128,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0] : ilf_type(X0,set_type),
    file('/export/starexec/sandbox/tmp/tmp.eZCifuB56o/Vampire---4.8_26253',p28) ).

fof(f206,plain,
    ~ ilf_type(domain_of(sK0),set_type),
    inference(subsumption_resolution,[],[f205,f106]) ).

fof(f106,plain,
    ilf_type(sK0,binary_relation_type),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ( ~ ilf_type(sK0,relation_type(domain_of(sK0),range_of(sK0)))
    & ilf_type(sK0,binary_relation_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f32,f66]) ).

fof(f66,plain,
    ( ? [X0] :
        ( ~ ilf_type(X0,relation_type(domain_of(X0),range_of(X0)))
        & ilf_type(X0,binary_relation_type) )
   => ( ~ ilf_type(sK0,relation_type(domain_of(sK0),range_of(sK0)))
      & ilf_type(sK0,binary_relation_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f32,plain,
    ? [X0] :
      ( ~ ilf_type(X0,relation_type(domain_of(X0),range_of(X0)))
      & ilf_type(X0,binary_relation_type) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,negated_conjecture,
    ~ ! [X0] :
        ( ilf_type(X0,binary_relation_type)
       => ilf_type(X0,relation_type(domain_of(X0),range_of(X0))) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f29,conjecture,
    ! [X0] :
      ( ilf_type(X0,binary_relation_type)
     => ilf_type(X0,relation_type(domain_of(X0),range_of(X0))) ),
    file('/export/starexec/sandbox/tmp/tmp.eZCifuB56o/Vampire---4.8_26253',prove_relset_1_20) ).

fof(f205,plain,
    ( ~ ilf_type(sK0,binary_relation_type)
    | ~ ilf_type(domain_of(sK0),set_type) ),
    inference(subsumption_resolution,[],[f204,f191]) ).

fof(f191,plain,
    ! [X0] : subset(X0,X0),
    inference(subsumption_resolution,[],[f151,f128]) ).

fof(f151,plain,
    ! [X0] :
      ( subset(X0,X0)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( subset(X0,X0)
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => subset(X0,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.eZCifuB56o/Vampire---4.8_26253',p15) ).

fof(f204,plain,
    ( ~ subset(domain_of(sK0),domain_of(sK0))
    | ~ ilf_type(sK0,binary_relation_type)
    | ~ ilf_type(domain_of(sK0),set_type) ),
    inference(resolution,[],[f120,f107]) ).

fof(f107,plain,
    ~ ilf_type(sK0,relation_type(domain_of(sK0),range_of(sK0))),
    inference(cnf_transformation,[],[f67]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( ilf_type(X1,relation_type(X0,range_of(X1)))
      | ~ subset(domain_of(X1),X0)
      | ~ ilf_type(X1,binary_relation_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ! [X1] :
          ( ilf_type(X1,relation_type(X0,range_of(X1)))
          | ~ subset(domain_of(X1),X0)
          | ~ ilf_type(X1,binary_relation_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( ! [X1] :
          ( ilf_type(X1,relation_type(X0,range_of(X1)))
          | ~ subset(domain_of(X1),X0)
          | ~ ilf_type(X1,binary_relation_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,binary_relation_type)
         => ( subset(domain_of(X1),X0)
           => ilf_type(X1,relation_type(X0,range_of(X1))) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.eZCifuB56o/Vampire---4.8_26253',p1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SET658+3 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.14  % 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
% 0.15/0.34  % Computer : n018.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Tue Apr 30 17:25:58 EDT 2024
% 0.15/0.34  % CPUTime    : 
% 0.15/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.34  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.eZCifuB56o/Vampire---4.8_26253
% 0.48/0.73  % (26522)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)
% 0.57/0.73  % (26519)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)
% 0.57/0.73  % (26518)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.73  % (26520)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)
% 0.57/0.73  % (26521)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)
% 0.57/0.73  % (26516)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)
% 0.57/0.73  % (26522)Refutation not found, incomplete strategy% (26522)------------------------------
% 0.57/0.73  % (26522)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.73  % (26522)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73  
% 0.57/0.73  % (26522)Memory used [KB]: 1034
% 0.57/0.73  % (26522)Time elapsed: 0.003 s
% 0.57/0.73  % (26522)Instructions burned: 4 (million)
% 0.57/0.73  % (26522)------------------------------
% 0.57/0.73  % (26522)------------------------------
% 0.57/0.73  % (26521)Refutation not found, incomplete strategy% (26521)------------------------------
% 0.57/0.73  % (26521)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.73  % (26521)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73  
% 0.57/0.73  % (26521)Memory used [KB]: 1021
% 0.57/0.73  % (26521)Time elapsed: 0.002 s
% 0.57/0.73  % (26521)Instructions burned: 2 (million)
% 0.57/0.73  % (26521)------------------------------
% 0.57/0.73  % (26521)------------------------------
% 0.57/0.73  % (26519)Refutation not found, incomplete strategy% (26519)------------------------------
% 0.57/0.73  % (26519)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.73  % (26519)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73  
% 0.57/0.73  % (26519)Memory used [KB]: 1027
% 0.57/0.73  % (26519)Time elapsed: 0.003 s
% 0.57/0.73  % (26519)Instructions burned: 3 (million)
% 0.57/0.73  % (26519)------------------------------
% 0.57/0.73  % (26519)------------------------------
% 0.57/0.73  % (26516)Refutation not found, incomplete strategy% (26516)------------------------------
% 0.57/0.73  % (26516)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.73  % (26516)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73  
% 0.57/0.73  % (26516)Memory used [KB]: 1059
% 0.57/0.73  % (26516)Time elapsed: 0.004 s
% 0.57/0.73  % (26516)Instructions burned: 4 (million)
% 0.57/0.73  % (26516)------------------------------
% 0.57/0.73  % (26516)------------------------------
% 0.57/0.73  % (26520)Refutation not found, incomplete strategy% (26520)------------------------------
% 0.57/0.73  % (26520)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.73  % (26520)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73  
% 0.57/0.73  % (26520)Memory used [KB]: 1106
% 0.57/0.73  % (26520)Time elapsed: 0.004 s
% 0.57/0.73  % (26520)Instructions burned: 5 (million)
% 0.57/0.73  % (26520)------------------------------
% 0.57/0.73  % (26520)------------------------------
% 0.57/0.73  % (26523)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)
% 0.57/0.73  % (26524)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)
% 0.57/0.73  % (26517)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)
% 0.57/0.73  % (26518)First to succeed.
% 0.57/0.73  % (26523)Refutation not found, incomplete strategy% (26523)------------------------------
% 0.57/0.73  % (26523)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.73  % (26523)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73  
% 0.57/0.73  % (26523)Memory used [KB]: 1021
% 0.57/0.73  % (26523)Time elapsed: 0.002 s
% 0.57/0.73  % (26523)Instructions burned: 2 (million)
% 0.57/0.73  % (26523)------------------------------
% 0.57/0.73  % (26523)------------------------------
% 0.57/0.73  % (26518)Refutation found. Thanks to Tanya!
% 0.57/0.73  % SZS status Theorem for Vampire---4
% 0.57/0.73  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.73  % (26518)------------------------------
% 0.57/0.73  % (26518)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.73  % (26518)Termination reason: Refutation
% 0.57/0.73  
% 0.57/0.73  % (26518)Memory used [KB]: 1134
% 0.57/0.73  % (26518)Time elapsed: 0.006 s
% 0.57/0.73  % (26518)Instructions burned: 7 (million)
% 0.57/0.73  % (26518)------------------------------
% 0.57/0.73  % (26518)------------------------------
% 0.57/0.73  % (26512)Success in time 0.378 s
% 0.57/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------