TSTP Solution File: SET076+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET076+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 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 : n028.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 09:03:40 EDT 2024

% Result   : Theorem 0.55s 0.74s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   31 (   7 unt;   0 def)
%            Number of atoms       :   69 (  12 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   58 (  20   ~;  19   |;   9   &)
%                                         (   6 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   34 (  28   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f362,plain,
    $false,
    inference(avatar_sat_refutation,[],[f249,f351,f361]) ).

fof(f361,plain,
    ~ spl4_1,
    inference(avatar_contradiction_clause,[],[f360]) ).

fof(f360,plain,
    ( $false
    | ~ spl4_1 ),
    inference(subsumption_resolution,[],[f359,f54]) ).

fof(f54,plain,
    ~ subclass(unordered_pair(sK0,sK1),sK2),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ? [X0,X1,X2] :
      ( ~ subclass(unordered_pair(X0,X1),X2)
      & member(X1,X2)
      & member(X0,X2) ),
    inference(flattening,[],[f49]) ).

fof(f49,plain,
    ? [X0,X1,X2] :
      ( ~ subclass(unordered_pair(X0,X1),X2)
      & member(X1,X2)
      & member(X0,X2) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ~ ! [X0,X1,X2] :
        ( ( member(X1,X2)
          & member(X0,X2) )
       => subclass(unordered_pair(X0,X1),X2) ),
    inference(rectify,[],[f45]) ).

fof(f45,negated_conjecture,
    ~ ! [X0,X1,X4] :
        ( ( member(X1,X4)
          & member(X0,X4) )
       => subclass(unordered_pair(X0,X1),X4) ),
    inference(negated_conjecture,[],[f44]) ).

fof(f44,conjecture,
    ! [X0,X1,X4] :
      ( ( member(X1,X4)
        & member(X0,X4) )
     => subclass(unordered_pair(X0,X1),X4) ),
    file('/export/starexec/sandbox/tmp/tmp.24bvyiIoDF/Vampire---4.8_6870',unordered_pair_is_subset) ).

fof(f359,plain,
    ( subclass(unordered_pair(sK0,sK1),sK2)
    | ~ spl4_1 ),
    inference(subsumption_resolution,[],[f356,f52]) ).

fof(f52,plain,
    member(sK0,sK2),
    inference(cnf_transformation,[],[f50]) ).

fof(f356,plain,
    ( ~ member(sK0,sK2)
    | subclass(unordered_pair(sK0,sK1),sK2)
    | ~ spl4_1 ),
    inference(superposition,[],[f61,f244]) ).

fof(f244,plain,
    ( sK0 = sK3(unordered_pair(sK0,sK1),sK2)
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f242,plain,
    ( spl4_1
  <=> sK0 = sK3(unordered_pair(sK0,sK1),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ member(sK3(X0,X1),X1)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( subclass(X0,X1)
    <=> ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.24bvyiIoDF/Vampire---4.8_6870',subclass_defn) ).

fof(f351,plain,
    ~ spl4_2,
    inference(avatar_contradiction_clause,[],[f350]) ).

fof(f350,plain,
    ( $false
    | ~ spl4_2 ),
    inference(subsumption_resolution,[],[f349,f54]) ).

fof(f349,plain,
    ( subclass(unordered_pair(sK0,sK1),sK2)
    | ~ spl4_2 ),
    inference(subsumption_resolution,[],[f346,f53]) ).

fof(f53,plain,
    member(sK1,sK2),
    inference(cnf_transformation,[],[f50]) ).

fof(f346,plain,
    ( ~ member(sK1,sK2)
    | subclass(unordered_pair(sK0,sK1),sK2)
    | ~ spl4_2 ),
    inference(superposition,[],[f61,f248]) ).

fof(f248,plain,
    ( sK1 = sK3(unordered_pair(sK0,sK1),sK2)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f246,plain,
    ( spl4_2
  <=> sK1 = sK3(unordered_pair(sK0,sK1),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f249,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f239,f246,f242]) ).

fof(f239,plain,
    ( sK1 = sK3(unordered_pair(sK0,sK1),sK2)
    | sK0 = sK3(unordered_pair(sK0,sK1),sK2) ),
    inference(resolution,[],[f109,f67]) ).

fof(f67,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X2
      | X0 = X1 ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( member(X0,unordered_pair(X1,X2))
    <=> ( ( X0 = X2
          | X0 = X1 )
        & member(X0,universal_class) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( member(X2,unordered_pair(X0,X1))
    <=> ( ( X1 = X2
          | X0 = X2 )
        & member(X2,universal_class) ) ),
    file('/export/starexec/sandbox/tmp/tmp.24bvyiIoDF/Vampire---4.8_6870',unordered_pair_defn) ).

fof(f109,plain,
    member(sK3(unordered_pair(sK0,sK1),sK2),unordered_pair(sK0,sK1)),
    inference(unit_resulting_resolution,[],[f54,f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( member(sK3(X0,X1),X0)
      | subclass(X0,X1) ),
    inference(cnf_transformation,[],[f51]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem    : SET076+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.09/0.13  % 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
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri May  3 16:59:38 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.34  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.24bvyiIoDF/Vampire---4.8_6870
% 0.55/0.73  % (7269)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)
% 0.55/0.73  % (7262)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)
% 0.55/0.73  % (7264)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.73  % (7269)Refutation not found, incomplete strategy% (7269)------------------------------
% 0.55/0.73  % (7269)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (7263)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)
% 0.55/0.73  % (7269)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (7269)Memory used [KB]: 1045
% 0.55/0.73  % (7269)Time elapsed: 0.002 s
% 0.55/0.73  % (7269)Instructions burned: 3 (million)
% 0.55/0.73  % (7266)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)
% 0.55/0.73  % (7267)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)
% 0.55/0.73  % (7265)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)
% 0.55/0.73  % (7268)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)
% 0.55/0.73  % (7269)------------------------------
% 0.55/0.73  % (7269)------------------------------
% 0.55/0.74  % (7267)Refutation not found, incomplete strategy% (7267)------------------------------
% 0.55/0.74  % (7267)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (7267)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (7267)Memory used [KB]: 1043
% 0.55/0.74  % (7267)Time elapsed: 0.003 s
% 0.55/0.74  % (7267)Instructions burned: 3 (million)
% 0.55/0.74  % (7267)------------------------------
% 0.55/0.74  % (7267)------------------------------
% 0.55/0.74  % (7272)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)
% 0.55/0.74  % (7262)Refutation not found, incomplete strategy% (7262)------------------------------
% 0.55/0.74  % (7262)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (7262)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (7262)Memory used [KB]: 1075
% 0.55/0.74  % (7262)Time elapsed: 0.006 s
% 0.55/0.74  % (7262)Instructions burned: 7 (million)
% 0.55/0.74  % (7262)------------------------------
% 0.55/0.74  % (7262)------------------------------
% 0.55/0.74  % (7273)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)
% 0.55/0.74  % (7268)First to succeed.
% 0.55/0.74  % (7275)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)
% 0.55/0.74  % (7268)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7114"
% 0.55/0.74  % (7268)Refutation found. Thanks to Tanya!
% 0.55/0.74  % SZS status Theorem for Vampire---4
% 0.55/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.74  % (7268)------------------------------
% 0.55/0.74  % (7268)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (7268)Termination reason: Refutation
% 0.55/0.74  
% 0.55/0.74  % (7268)Memory used [KB]: 1129
% 0.55/0.74  % (7268)Time elapsed: 0.010 s
% 0.55/0.74  % (7268)Instructions burned: 16 (million)
% 0.55/0.74  % (7114)Success in time 0.392 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------