TSTP Solution File: SET016+4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET016+4 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n015.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 03:44:07 EDT 2024

% Result   : Theorem 0.61s 0.76s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   40 (  10 unt;   0 def)
%            Number of atoms       :   80 (  22 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   63 (  23   ~;  21   |;   4   &)
%                                         (   8 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   59 (  55   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f136,plain,
    $false,
    inference(avatar_sat_refutation,[],[f100,f113,f135]) ).

fof(f135,plain,
    ~ spl4_1,
    inference(avatar_contradiction_clause,[],[f134]) ).

fof(f134,plain,
    ( $false
    | ~ spl4_1 ),
    inference(subsumption_resolution,[],[f130,f40]) ).

fof(f40,plain,
    ~ member(sK2,singleton(sK0)),
    inference(unit_resulting_resolution,[],[f23,f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ~ member(X0,singleton(X1))
      | X0 = X1 ),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( member(X0,singleton(X1))
    <=> X0 = X1 ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X2,X0] :
      ( member(X2,singleton(X0))
    <=> X0 = X2 ),
    file('/export/starexec/sandbox2/tmp/tmp.h627inbciH/Vampire---4.8_15345',singleton) ).

fof(f23,plain,
    sK0 != sK2,
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ? [X0,X1,X2,X3] :
      ( X0 != X2
      & equal_set(unordered_pair(singleton(X0),unordered_pair(X0,X1)),unordered_pair(singleton(X2),unordered_pair(X2,X3))) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ~ ! [X0,X1,X2,X3] :
        ( equal_set(unordered_pair(singleton(X0),unordered_pair(X0,X1)),unordered_pair(singleton(X2),unordered_pair(X2,X3)))
       => X0 = X2 ),
    inference(rectify,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ! [X0,X1,X5,X6] :
        ( equal_set(unordered_pair(singleton(X0),unordered_pair(X0,X1)),unordered_pair(singleton(X5),unordered_pair(X5,X6)))
       => X0 = X5 ),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ! [X0,X1,X5,X6] :
      ( equal_set(unordered_pair(singleton(X0),unordered_pair(X0,X1)),unordered_pair(singleton(X5),unordered_pair(X5,X6)))
     => X0 = X5 ),
    file('/export/starexec/sandbox2/tmp/tmp.h627inbciH/Vampire---4.8_15345',thI50a) ).

fof(f130,plain,
    ( member(sK2,singleton(sK0))
    | ~ spl4_1 ),
    inference(superposition,[],[f34,f95]) ).

fof(f95,plain,
    ( singleton(sK0) = singleton(sK2)
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f93,plain,
    ( spl4_1
  <=> singleton(sK0) = singleton(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f34,plain,
    ! [X1] : member(X1,singleton(X1)),
    inference(equality_resolution,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( X0 != X1
      | member(X0,singleton(X1)) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f113,plain,
    ~ spl4_2,
    inference(avatar_contradiction_clause,[],[f112]) ).

fof(f112,plain,
    ( $false
    | ~ spl4_2 ),
    inference(subsumption_resolution,[],[f110,f40]) ).

fof(f110,plain,
    ( member(sK2,singleton(sK0))
    | ~ spl4_2 ),
    inference(superposition,[],[f33,f99]) ).

fof(f99,plain,
    ( singleton(sK0) = unordered_pair(sK2,sK3)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f97,plain,
    ( spl4_2
  <=> singleton(sK0) = unordered_pair(sK2,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f33,plain,
    ! [X2,X1] : member(X1,unordered_pair(X1,X2)),
    inference(equality_resolution,[],[f25]) ).

fof(f25,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | member(X0,unordered_pair(X1,X2)) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1,X2] :
      ( member(X0,unordered_pair(X1,X2))
    <=> ( X0 = X2
        | X0 = X1 ) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X2,X0,X1] :
      ( member(X2,unordered_pair(X0,X1))
    <=> ( X1 = X2
        | X0 = X2 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.h627inbciH/Vampire---4.8_15345',unordered_pair) ).

fof(f100,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f90,f97,f93]) ).

fof(f90,plain,
    ( singleton(sK0) = unordered_pair(sK2,sK3)
    | singleton(sK0) = singleton(sK2) ),
    inference(resolution,[],[f66,f24]) ).

fof(f24,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X2
      | X0 = X1 ),
    inference(cnf_transformation,[],[f15]) ).

fof(f66,plain,
    member(singleton(sK0),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),
    inference(unit_resulting_resolution,[],[f33,f57,f31]) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,X0)
      | ~ subset(X0,X1)
      | member(X2,X1) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) )
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
     => ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.h627inbciH/Vampire---4.8_15345',subset) ).

fof(f57,plain,
    subset(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),
    inference(unit_resulting_resolution,[],[f22,f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ equal_set(X0,X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
        & subset(X0,X1) )
      | ~ equal_set(X0,X1) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( equal_set(X0,X1)
     => ( subset(X1,X0)
        & subset(X0,X1) ) ),
    inference(unused_predicate_definition_removal,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( equal_set(X0,X1)
    <=> ( subset(X1,X0)
        & subset(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.h627inbciH/Vampire---4.8_15345',equal_set) ).

fof(f22,plain,
    equal_set(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),
    inference(cnf_transformation,[],[f19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SET016+4 : TPTP v8.1.2. Released v2.2.0.
% 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 : n015.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   : Tue Apr 30 17:35:48 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.h627inbciH/Vampire---4.8_15345
% 0.60/0.76  % (15675)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)
% 0.60/0.76  % (15669)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)
% 0.60/0.76  % (15671)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76  % (15672)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)
% 0.60/0.76  % (15670)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)
% 0.60/0.76  % (15673)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)
% 0.60/0.76  % (15674)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)
% 0.60/0.76  % (15676)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)
% 0.60/0.76  % (15669)Refutation not found, incomplete strategy% (15669)------------------------------
% 0.60/0.76  % (15669)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76  % (15669)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (15669)Memory used [KB]: 978
% 0.60/0.76  % (15669)Time elapsed: 0.003 s
% 0.60/0.76  % (15669)Instructions burned: 2 (million)
% 0.60/0.76  % (15675)First to succeed.
% 0.60/0.76  % (15669)------------------------------
% 0.60/0.76  % (15669)------------------------------
% 0.60/0.76  % (15674)Refutation not found, incomplete strategy% (15674)------------------------------
% 0.60/0.76  % (15674)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76  % (15674)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (15674)Memory used [KB]: 965
% 0.60/0.76  % (15674)Time elapsed: 0.003 s
% 0.60/0.76  % (15672)Refutation not found, incomplete strategy% (15672)------------------------------
% 0.60/0.76  % (15672)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76  % (15672)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (15672)Memory used [KB]: 980
% 0.60/0.76  % (15672)Time elapsed: 0.003 s
% 0.60/0.76  % (15672)Instructions burned: 3 (million)
% 0.60/0.76  % (15672)------------------------------
% 0.60/0.76  % (15672)------------------------------
% 0.60/0.76  % (15674)Instructions burned: 2 (million)
% 0.60/0.76  % (15674)------------------------------
% 0.60/0.76  % (15674)------------------------------
% 0.61/0.76  % (15676)Refutation not found, incomplete strategy% (15676)------------------------------
% 0.61/0.76  % (15676)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (15676)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (15676)Memory used [KB]: 979
% 0.61/0.76  % (15676)Time elapsed: 0.003 s
% 0.61/0.76  % (15676)Instructions burned: 2 (million)
% 0.61/0.76  % (15676)------------------------------
% 0.61/0.76  % (15676)------------------------------
% 0.61/0.76  % (15675)Refutation found. Thanks to Tanya!
% 0.61/0.76  % SZS status Theorem for Vampire---4
% 0.61/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.76  % (15675)------------------------------
% 0.61/0.76  % (15675)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (15675)Termination reason: Refutation
% 0.61/0.76  
% 0.61/0.76  % (15675)Memory used [KB]: 1075
% 0.61/0.76  % (15675)Time elapsed: 0.004 s
% 0.61/0.76  % (15675)Instructions burned: 7 (million)
% 0.61/0.76  % (15675)------------------------------
% 0.61/0.76  % (15675)------------------------------
% 0.61/0.76  % (15511)Success in time 0.393 s
% 0.61/0.76  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.61/0.76  15511 Aborted by signal SIGABRT on /export/starexec/sandbox2/tmp/tmp.h627inbciH/Vampire---4.8_15345
% 0.61/0.76  % (15511)------------------------------
% 0.61/0.76  % (15511)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (15511)Termination reason: Unknown
% 0.61/0.76  % (15511)Termination phase: Unknown
% 0.61/0.76  
% 0.61/0.76  % (15511)Memory used [KB]: 449
% 0.61/0.76  % (15511)Time elapsed: 0.393 s
% 0.61/0.76  % (15511)Instructions burned: 952 (million)
% 0.61/0.76  % (15511)------------------------------
% 0.61/0.76  % (15511)------------------------------
% 0.61/0.76  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  ???
% 0.61/0.76   ???
% 0.61/0.76    ???
% 0.61/0.76     ???
% 0.61/0.76      ???
% 0.61/0.76       ???
% 0.61/0.76        ???
% 0.61/0.76         ???
% 0.61/0.76          ???
% 0.61/0.76           ???
% 0.61/0.76            ???
% 0.61/0.76             ???
% 0.61/0.76              ???
% 0.61/0.76               ???
% 0.61/0.76                ???
% 0.61/0.76                 ???
% 0.61/0.76                  ???
% 0.61/0.76                   ???
% 0.61/0.76                    ???
% 0.61/0.76                     ???
% 0.61/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------