TSTP Solution File: SET062-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET062-6 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n004.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 09:03:30 EDT 2024

% Result   : Unsatisfiable 0.59s 0.77s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (   5 unt;   0 def)
%            Number of atoms       :   41 (   9 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   32 (  13   ~;  17   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f478,plain,
    $false,
    inference(avatar_sat_refutation,[],[f460,f467,f477]) ).

fof(f477,plain,
    ~ spl0_26,
    inference(avatar_contradiction_clause,[],[f476]) ).

fof(f476,plain,
    ( $false
    | ~ spl0_26 ),
    inference(resolution,[],[f474,f141]) ).

fof(f141,plain,
    ! [X1] : subclass(X1,X1),
    inference(equality_resolution,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | X0 != X1 ),
    file('/export/starexec/sandbox/tmp/tmp.FxRazz9Wb7/Vampire---4.8_4746',equal_implies_subclass1) ).

fof(f474,plain,
    ( ~ subclass(null_class,null_class)
    | ~ spl0_26 ),
    inference(superposition,[],[f92,f459]) ).

fof(f459,plain,
    ( null_class = x
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f457,plain,
    ( spl0_26
  <=> null_class = x ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f92,axiom,
    ~ subclass(null_class,x),
    file('/export/starexec/sandbox/tmp/tmp.FxRazz9Wb7/Vampire---4.8_4746',prove_null_class_is_subclass_1) ).

fof(f467,plain,
    ~ spl0_25,
    inference(avatar_contradiction_clause,[],[f465]) ).

fof(f465,plain,
    ( $false
    | ~ spl0_25 ),
    inference(resolution,[],[f455,f92]) ).

fof(f455,plain,
    ( subclass(null_class,x)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f453,plain,
    ( spl0_25
  <=> subclass(null_class,x) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f460,plain,
    ( spl0_25
    | spl0_26 ),
    inference(avatar_split_clause,[],[f444,f457,f453]) ).

fof(f444,plain,
    ( null_class = x
    | subclass(null_class,x) ),
    inference(resolution,[],[f436,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.FxRazz9Wb7/Vampire---4.8_4746',not_subclass_members2) ).

fof(f436,plain,
    ! [X0] :
      ( member(not_subclass_element(null_class,x),X0)
      | null_class = X0 ),
    inference(resolution,[],[f264,f92]) ).

fof(f264,plain,
    ! [X0,X1] :
      ( subclass(null_class,X0)
      | null_class = X1
      | member(not_subclass_element(null_class,X0),X1) ),
    inference(resolution,[],[f218,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.FxRazz9Wb7/Vampire---4.8_4746',not_subclass_members1) ).

fof(f218,plain,
    ! [X0,X1] :
      ( ~ member(X1,null_class)
      | member(X1,X0)
      | null_class = X0 ),
    inference(superposition,[],[f21,f67]) ).

fof(f67,axiom,
    ! [X0] :
      ( null_class = intersection(X0,regular(X0))
      | null_class = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.FxRazz9Wb7/Vampire---4.8_4746',regularity2) ).

fof(f21,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.FxRazz9Wb7/Vampire---4.8_4746',intersection1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET062-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.15  % 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
% 0.16/0.36  % Computer : n004.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 16:27:38 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.36  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.FxRazz9Wb7/Vampire---4.8_4746
% 0.59/0.75  % (5155)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)
% 0.59/0.75  % (5155)Refutation not found, incomplete strategy% (5155)------------------------------
% 0.59/0.75  % (5155)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (5155)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (5155)Memory used [KB]: 1054
% 0.59/0.75  % (5155)Time elapsed: 0.002 s
% 0.59/0.75  % (5155)Instructions burned: 2 (million)
% 0.59/0.75  % (5155)------------------------------
% 0.59/0.75  % (5155)------------------------------
% 0.59/0.75  % (5148)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)
% 0.59/0.75  % (5150)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75  % (5149)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)
% 0.59/0.75  % (5151)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)
% 0.59/0.75  % (5153)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)
% 0.59/0.75  % (5154)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)
% 0.59/0.75  % (5152)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)
% 0.59/0.76  % (5153)Refutation not found, incomplete strategy% (5153)------------------------------
% 0.59/0.76  % (5153)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (5153)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (5150)Refutation not found, incomplete strategy% (5150)------------------------------
% 0.59/0.76  % (5150)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (5151)Refutation not found, incomplete strategy% (5151)------------------------------
% 0.59/0.76  % (5151)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (5150)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (5150)Memory used [KB]: 1068
% 0.59/0.76  % (5150)Time elapsed: 0.003 s
% 0.59/0.76  % (5150)Instructions burned: 2 (million)
% 0.59/0.76  % (5151)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (5151)Memory used [KB]: 1055
% 0.59/0.76  % (5151)Time elapsed: 0.003 s
% 0.59/0.76  % (5151)Instructions burned: 2 (million)
% 0.59/0.76  % (5153)Memory used [KB]: 1053
% 0.59/0.76  % (5153)Time elapsed: 0.003 s
% 0.59/0.76  % (5153)Instructions burned: 2 (million)
% 0.59/0.76  % (5150)------------------------------
% 0.59/0.76  % (5150)------------------------------
% 0.59/0.76  % (5151)------------------------------
% 0.59/0.76  % (5151)------------------------------
% 0.59/0.76  % (5153)------------------------------
% 0.59/0.76  % (5153)------------------------------
% 0.59/0.76  % (5148)Refutation not found, incomplete strategy% (5148)------------------------------
% 0.59/0.76  % (5148)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (5148)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (5148)Memory used [KB]: 1073
% 0.59/0.76  % (5148)Time elapsed: 0.003 s
% 0.59/0.76  % (5148)Instructions burned: 3 (million)
% 0.59/0.76  % (5148)------------------------------
% 0.59/0.76  % (5148)------------------------------
% 0.59/0.76  % (5158)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)
% 0.59/0.76  % (5154)Refutation not found, incomplete strategy% (5154)------------------------------
% 0.59/0.76  % (5154)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (5154)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (5154)Memory used [KB]: 1063
% 0.59/0.76  % (5154)Time elapsed: 0.004 s
% 0.59/0.76  % (5154)Instructions burned: 4 (million)
% 0.59/0.76  % (5152)Refutation not found, incomplete strategy% (5152)------------------------------
% 0.59/0.76  % (5152)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (5152)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (5152)Memory used [KB]: 1068
% 0.59/0.76  % (5152)Time elapsed: 0.004 s
% 0.59/0.76  % (5152)Instructions burned: 5 (million)
% 0.59/0.76  % (5158)Refutation not found, incomplete strategy% (5158)------------------------------
% 0.59/0.76  % (5158)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (5158)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (5158)Memory used [KB]: 1054
% 0.59/0.76  % (5158)Time elapsed: 0.001 s
% 0.59/0.76  % (5158)Instructions burned: 2 (million)
% 0.59/0.76  % (5152)------------------------------
% 0.59/0.76  % (5152)------------------------------
% 0.59/0.76  % (5154)------------------------------
% 0.59/0.76  % (5154)------------------------------
% 0.59/0.76  % (5158)------------------------------
% 0.59/0.76  % (5158)------------------------------
% 0.59/0.76  % (5160)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)
% 0.59/0.76  % (5159)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)
% 0.59/0.76  % (5165)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.59/0.76  % (5161)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)
% 0.59/0.76  % (5162)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)
% 0.59/0.76  % (5163)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.59/0.76  % (5166)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.59/0.76  % (5160)Refutation not found, incomplete strategy% (5160)------------------------------
% 0.59/0.76  % (5160)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (5160)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (5160)Memory used [KB]: 1072
% 0.59/0.76  % (5160)Time elapsed: 0.004 s
% 0.59/0.76  % (5160)Instructions burned: 3 (million)
% 0.59/0.76  % (5160)------------------------------
% 0.59/0.76  % (5160)------------------------------
% 0.59/0.76  % (5166)Refutation not found, incomplete strategy% (5166)------------------------------
% 0.59/0.76  % (5166)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (5166)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (5166)Memory used [KB]: 1068
% 0.59/0.76  % (5166)Time elapsed: 0.002 s
% 0.59/0.76  % (5166)Instructions burned: 2 (million)
% 0.59/0.76  % (5166)------------------------------
% 0.59/0.76  % (5166)------------------------------
% 0.59/0.77  % (5162)Refutation not found, incomplete strategy% (5162)------------------------------
% 0.59/0.77  % (5162)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (5162)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (5162)Memory used [KB]: 1145
% 0.59/0.77  % (5162)Time elapsed: 0.008 s
% 0.59/0.77  % (5162)Instructions burned: 10 (million)
% 0.59/0.77  % (5169)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.59/0.77  % (5162)------------------------------
% 0.59/0.77  % (5162)------------------------------
% 0.59/0.77  % (5149)First to succeed.
% 0.59/0.77  % (5170)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.59/0.77  % (5149)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5000"
% 0.59/0.77  % (5149)Refutation found. Thanks to Tanya!
% 0.59/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.77  % (5149)------------------------------
% 0.59/0.77  % (5149)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (5149)Termination reason: Refutation
% 0.59/0.77  
% 0.59/0.77  % (5149)Memory used [KB]: 1256
% 0.59/0.77  % (5149)Time elapsed: 0.015 s
% 0.59/0.77  % (5149)Instructions burned: 21 (million)
% 0.59/0.77  % (5000)Success in time 0.393 s
% 0.59/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------