TSTP Solution File: SET124-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET124-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : Sun May  5 09:04:14 EDT 2024

% Result   : Unsatisfiable 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   24 (   9 unt;   0 def)
%            Number of atoms       :   40 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   34 (  18   ~;  14   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f311,plain,
    $false,
    inference(avatar_sat_refutation,[],[f297,f300,f310]) ).

fof(f310,plain,
    ( ~ spl0_19
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f307,f294,f290]) ).

fof(f290,plain,
    ( spl0_19
  <=> member(x,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f294,plain,
    ( spl0_20
  <=> member(x,intersection(complement(unordered_pair(x,x)),complement(z))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f307,plain,
    ( ~ member(x,universal_class)
    | ~ spl0_20 ),
    inference(resolution,[],[f305,f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( member(X1,unordered_pair(X0,X1))
      | ~ member(X1,universal_class) ),
    file('/export/starexec/sandbox2/tmp/tmp.1cWjws2ZPX/Vampire---4.8_27453',unordered_pair3) ).

fof(f305,plain,
    ( ~ member(x,unordered_pair(x,x))
    | ~ spl0_20 ),
    inference(resolution,[],[f302,f24]) ).

fof(f24,axiom,
    ! [X0,X4] :
      ( ~ member(X4,complement(X0))
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.1cWjws2ZPX/Vampire---4.8_27453',complement1) ).

fof(f302,plain,
    ( member(x,complement(unordered_pair(x,x)))
    | ~ spl0_20 ),
    inference(resolution,[],[f296,f21]) ).

fof(f21,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.1cWjws2ZPX/Vampire---4.8_27453',intersection1) ).

fof(f296,plain,
    ( member(x,intersection(complement(unordered_pair(x,x)),complement(z)))
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f300,plain,
    spl0_19,
    inference(avatar_contradiction_clause,[],[f298]) ).

fof(f298,plain,
    ( $false
    | spl0_19 ),
    inference(resolution,[],[f292,f93]) ).

fof(f93,axiom,
    member(x,universal_class),
    file('/export/starexec/sandbox2/tmp/tmp.1cWjws2ZPX/Vampire---4.8_27453',prove_set_builder_alternate_defn2_1) ).

fof(f292,plain,
    ( ~ member(x,universal_class)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f297,plain,
    ( ~ spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f285,f294,f290]) ).

fof(f285,plain,
    ( member(x,intersection(complement(unordered_pair(x,x)),complement(z)))
    | ~ member(x,universal_class) ),
    inference(resolution,[],[f25,f144]) ).

fof(f144,plain,
    ~ member(x,complement(intersection(complement(unordered_pair(x,x)),complement(z)))),
    inference(definition_unfolding,[],[f94,f100]) ).

fof(f100,plain,
    ! [X0,X1] : set_builder(X0,X1) = complement(intersection(complement(unordered_pair(X0,X0)),complement(X1))),
    inference(definition_unfolding,[],[f92,f26,f12]) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/tmp/tmp.1cWjws2ZPX/Vampire---4.8_27453',singleton_set) ).

fof(f26,axiom,
    ! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox2/tmp/tmp.1cWjws2ZPX/Vampire---4.8_27453',union) ).

fof(f92,axiom,
    ! [X0,X1] : union(singleton(X0),X1) = set_builder(X0,X1),
    file('/export/starexec/sandbox2/tmp/tmp.1cWjws2ZPX/Vampire---4.8_27453',definition_of_set_builder) ).

fof(f94,axiom,
    ~ member(x,set_builder(x,z)),
    file('/export/starexec/sandbox2/tmp/tmp.1cWjws2ZPX/Vampire---4.8_27453',prove_set_builder_alternate_defn2_2) ).

fof(f25,axiom,
    ! [X0,X4] :
      ( member(X4,complement(X0))
      | member(X4,X0)
      | ~ member(X4,universal_class) ),
    file('/export/starexec/sandbox2/tmp/tmp.1cWjws2ZPX/Vampire---4.8_27453',complement2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SET124-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.15/0.15  % 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 : n024.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   : Fri May  3 16:22:08 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.37  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.1cWjws2ZPX/Vampire---4.8_27453
% 0.58/0.76  % (27781)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)
% 0.58/0.76  % (27781)Refutation not found, incomplete strategy% (27781)------------------------------
% 0.58/0.76  % (27781)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (27781)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (27781)Memory used [KB]: 1054
% 0.58/0.76  % (27781)Time elapsed: 0.001 s
% 0.58/0.76  % (27781)Instructions burned: 2 (million)
% 0.58/0.76  % (27781)------------------------------
% 0.58/0.76  % (27781)------------------------------
% 0.58/0.76  % (27774)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)
% 0.58/0.76  % (27776)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.76  % (27775)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)
% 0.58/0.76  % (27778)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)
% 0.58/0.76  % (27779)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)
% 0.58/0.76  % (27777)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)
% 0.58/0.76  % (27780)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)
% 0.61/0.76  % (27777)Refutation not found, incomplete strategy% (27777)------------------------------
% 0.61/0.76  % (27777)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (27777)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (27777)Memory used [KB]: 1053
% 0.61/0.76  % (27777)Time elapsed: 0.003 s
% 0.61/0.76  % (27777)Instructions burned: 2 (million)
% 0.61/0.76  % (27777)------------------------------
% 0.61/0.76  % (27777)------------------------------
% 0.61/0.76  % (27782)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)
% 0.61/0.76  % (27782)Refutation not found, incomplete strategy% (27782)------------------------------
% 0.61/0.76  % (27782)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (27782)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (27782)Memory used [KB]: 1053
% 0.61/0.76  % (27782)Time elapsed: 0.001 s
% 0.61/0.76  % (27782)Instructions burned: 2 (million)
% 0.61/0.76  % (27782)------------------------------
% 0.61/0.76  % (27782)------------------------------
% 0.61/0.76  % (27774)Refutation not found, incomplete strategy% (27774)------------------------------
% 0.61/0.76  % (27774)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (27774)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (27774)Memory used [KB]: 1103
% 0.61/0.76  % (27774)Time elapsed: 0.006 s
% 0.61/0.76  % (27774)Instructions burned: 7 (million)
% 0.61/0.76  % (27774)------------------------------
% 0.61/0.76  % (27774)------------------------------
% 0.61/0.76  % (27784)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)
% 0.61/0.76  % (27783)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)
% 0.61/0.76  % (27784)Refutation not found, incomplete strategy% (27784)------------------------------
% 0.61/0.76  % (27784)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (27784)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (27784)Memory used [KB]: 1070
% 0.61/0.76  % (27784)Time elapsed: 0.002 s
% 0.61/0.76  % (27784)Instructions burned: 2 (million)
% 0.61/0.76  % (27784)------------------------------
% 0.61/0.76  % (27784)------------------------------
% 0.61/0.77  % (27775)First to succeed.
% 0.61/0.77  % (27775)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27618"
% 0.61/0.77  % (27786)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.61/0.77  % (27788)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.61/0.77  % (27775)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (27775)------------------------------
% 0.61/0.77  % (27775)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (27775)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (27775)Memory used [KB]: 1228
% 0.61/0.77  % (27775)Time elapsed: 0.010 s
% 0.61/0.77  % (27775)Instructions burned: 14 (million)
% 0.61/0.77  % (27618)Success in time 0.39 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------