TSTP Solution File: SET193-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET193-6 : 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 : n008.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 09:04:41 EDT 2024

% Result   : Unsatisfiable 0.70s 0.86s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   26 (   5 unt;   0 def)
%            Number of atoms       :   53 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   51 (  24   ~;  25   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f636,plain,
    $false,
    inference(avatar_sat_refutation,[],[f593,f623,f626]) ).

fof(f626,plain,
    ~ spl0_50,
    inference(avatar_contradiction_clause,[],[f624]) ).

fof(f624,plain,
    ( $false
    | ~ spl0_50 ),
    inference(resolution,[],[f592,f114]) ).

fof(f114,axiom,
    ~ subclass(x,y),
    file('/export/starexec/sandbox/tmp/tmp.Ht1beYdzYu/Vampire---4.8_20102',prove_subclass_property10_2) ).

fof(f592,plain,
    ( subclass(x,y)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f590,plain,
    ( spl0_50
  <=> subclass(x,y) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f623,plain,
    ( spl0_50
    | spl0_49 ),
    inference(avatar_split_clause,[],[f615,f586,f590]) ).

fof(f586,plain,
    ( spl0_49
  <=> member(not_subclass_element(x,y),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f615,plain,
    ( subclass(x,y)
    | spl0_49 ),
    inference(resolution,[],[f612,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.Ht1beYdzYu/Vampire---4.8_20102',not_subclass_members1) ).

fof(f612,plain,
    ( ! [X0] : ~ member(not_subclass_element(x,y),X0)
    | spl0_49 ),
    inference(resolution,[],[f597,f4]) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox/tmp/tmp.Ht1beYdzYu/Vampire---4.8_20102',class_elements_are_sets) ).

fof(f597,plain,
    ( ! [X0] :
        ( ~ subclass(X0,universal_class)
        | ~ member(not_subclass_element(x,y),X0) )
    | spl0_49 ),
    inference(resolution,[],[f588,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( member(X2,X1)
      | ~ member(X2,X0)
      | ~ subclass(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.Ht1beYdzYu/Vampire---4.8_20102',subclass_members) ).

fof(f588,plain,
    ( ~ member(not_subclass_element(x,y),universal_class)
    | spl0_49 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f593,plain,
    ( ~ spl0_49
    | spl0_50 ),
    inference(avatar_split_clause,[],[f549,f590,f586]) ).

fof(f549,plain,
    ( subclass(x,y)
    | ~ member(not_subclass_element(x,y),universal_class) ),
    inference(duplicate_literal_removal,[],[f547]) ).

fof(f547,plain,
    ( subclass(x,y)
    | ~ member(not_subclass_element(x,y),universal_class)
    | subclass(x,y) ),
    inference(resolution,[],[f452,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.Ht1beYdzYu/Vampire---4.8_20102',not_subclass_members2) ).

fof(f452,plain,
    ! [X0] :
      ( member(not_subclass_element(x,X0),y)
      | subclass(x,X0)
      | ~ member(not_subclass_element(x,X0),universal_class) ),
    inference(resolution,[],[f420,f25]) ).

fof(f25,axiom,
    ! [X0,X4] :
      ( member(X4,complement(X0))
      | member(X4,X0)
      | ~ member(X4,universal_class) ),
    file('/export/starexec/sandbox/tmp/tmp.Ht1beYdzYu/Vampire---4.8_20102',complement2) ).

fof(f420,plain,
    ! [X0] :
      ( ~ member(not_subclass_element(x,X0),complement(y))
      | subclass(x,X0) ),
    inference(resolution,[],[f417,f2]) ).

fof(f417,plain,
    ! [X0] :
      ( ~ member(X0,x)
      | ~ member(X0,complement(y)) ),
    inference(resolution,[],[f192,f113]) ).

fof(f113,axiom,
    subclass(complement(y),complement(x)),
    file('/export/starexec/sandbox/tmp/tmp.Ht1beYdzYu/Vampire---4.8_20102',prove_subclass_property10_1) ).

fof(f192,plain,
    ! [X2,X0,X1] :
      ( ~ subclass(X1,complement(X2))
      | ~ member(X0,X1)
      | ~ member(X0,X2) ),
    inference(resolution,[],[f1,f24]) ).

fof(f24,axiom,
    ! [X0,X4] :
      ( ~ member(X4,complement(X0))
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.Ht1beYdzYu/Vampire---4.8_20102',complement1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET193-6 : 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
% 0.16/0.37  % Computer : n008.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Fri May  3 16:34:38 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.37  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.Ht1beYdzYu/Vampire---4.8_20102
% 0.70/0.85  % (20432)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.70/0.85  % (20431)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 (2995ds/51Mi)
% 0.70/0.85  % (20435)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.70/0.85  % (20430)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 (2995ds/34Mi)
% 0.70/0.85  % (20433)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.70/0.85  % (20436)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 (2995ds/83Mi)
% 0.70/0.85  % (20434)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 (2995ds/34Mi)
% 0.70/0.85  % (20435)Refutation not found, incomplete strategy% (20435)------------------------------
% 0.70/0.85  % (20435)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.85  % (20435)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.85  % (20433)Refutation not found, incomplete strategy% (20433)------------------------------
% 0.70/0.85  % (20433)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.85  
% 0.70/0.85  % (20435)Memory used [KB]: 1085
% 0.70/0.85  % (20435)Time elapsed: 0.003 s
% 0.70/0.85  % (20435)Instructions burned: 2 (million)
% 0.70/0.85  % (20432)Refutation not found, incomplete strategy% (20432)------------------------------
% 0.70/0.85  % (20432)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.85  % (20433)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.85  
% 0.70/0.85  % (20433)Memory used [KB]: 1071
% 0.70/0.85  % (20433)Time elapsed: 0.003 s
% 0.70/0.85  % (20433)Instructions burned: 2 (million)
% 0.70/0.85  % (20432)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.85  
% 0.70/0.85  % (20432)Memory used [KB]: 1086
% 0.70/0.85  % (20430)Refutation not found, incomplete strategy% (20430)------------------------------
% 0.70/0.85  % (20430)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.85  % (20432)Time elapsed: 0.003 s
% 0.70/0.85  % (20432)Instructions burned: 3 (million)
% 0.70/0.85  % (20430)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.85  % (20437)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 (2995ds/56Mi)
% 0.70/0.85  
% 0.70/0.85  % (20430)Memory used [KB]: 1086
% 0.70/0.85  % (20430)Time elapsed: 0.003 s
% 0.70/0.85  % (20430)Instructions burned: 3 (million)
% 0.70/0.85  % (20435)------------------------------
% 0.70/0.85  % (20435)------------------------------
% 0.70/0.85  % (20433)------------------------------
% 0.70/0.85  % (20433)------------------------------
% 0.70/0.85  % (20432)------------------------------
% 0.70/0.85  % (20432)------------------------------
% 0.70/0.85  % (20430)------------------------------
% 0.70/0.85  % (20430)------------------------------
% 0.70/0.85  % (20436)Refutation not found, incomplete strategy% (20436)------------------------------
% 0.70/0.85  % (20436)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.85  % (20436)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.85  
% 0.70/0.85  % (20436)Memory used [KB]: 1087
% 0.70/0.85  % (20436)Time elapsed: 0.003 s
% 0.70/0.85  % (20436)Instructions burned: 3 (million)
% 0.70/0.85  % (20437)Refutation not found, incomplete strategy% (20437)------------------------------
% 0.70/0.85  % (20437)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.85  % (20437)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.85  
% 0.70/0.85  % (20436)------------------------------
% 0.70/0.85  % (20436)------------------------------
% 0.70/0.85  % (20437)Memory used [KB]: 1070
% 0.70/0.85  % (20437)Time elapsed: 0.003 s
% 0.70/0.85  % (20437)Instructions burned: 2 (million)
% 0.70/0.85  % (20437)------------------------------
% 0.70/0.85  % (20437)------------------------------
% 0.70/0.85  % (20434)Refutation not found, incomplete strategy% (20434)------------------------------
% 0.70/0.85  % (20434)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.85  % (20434)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.85  
% 0.70/0.85  % (20434)Memory used [KB]: 1130
% 0.70/0.85  % (20434)Time elapsed: 0.005 s
% 0.70/0.85  % (20434)Instructions burned: 6 (million)
% 0.70/0.85  % (20434)------------------------------
% 0.70/0.85  % (20434)------------------------------
% 0.70/0.85  % (20440)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 (2995ds/208Mi)
% 0.70/0.85  % (20438)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 (2995ds/55Mi)
% 0.70/0.85  % (20441)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 (2995ds/52Mi)
% 0.70/0.85  % (20439)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 (2995ds/50Mi)
% 0.70/0.85  % (20442)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 (2995ds/518Mi)
% 0.70/0.86  % (20443)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 (2995ds/42Mi)
% 0.70/0.86  % (20438)Refutation not found, incomplete strategy% (20438)------------------------------
% 0.70/0.86  % (20438)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.86  % (20438)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.86  
% 0.70/0.86  % (20438)Memory used [KB]: 1071
% 0.70/0.86  % (20438)Time elapsed: 0.003 s
% 0.70/0.86  % (20438)Instructions burned: 2 (million)
% 0.70/0.86  % (20440)Refutation not found, incomplete strategy% (20440)------------------------------
% 0.70/0.86  % (20440)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.86  % (20440)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.86  
% 0.70/0.86  % (20438)------------------------------
% 0.70/0.86  % (20438)------------------------------
% 0.70/0.86  % (20440)Memory used [KB]: 1091
% 0.70/0.86  % (20440)Time elapsed: 0.003 s
% 0.70/0.86  % (20440)Instructions burned: 3 (million)
% 0.70/0.86  % (20440)------------------------------
% 0.70/0.86  % (20440)------------------------------
% 0.70/0.86  % (20444)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 (2995ds/243Mi)
% 0.70/0.86  % (20442)Refutation not found, incomplete strategy% (20442)------------------------------
% 0.70/0.86  % (20442)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.86  % (20442)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.86  
% 0.70/0.86  % (20442)Memory used [KB]: 1144
% 0.70/0.86  % (20442)Time elapsed: 0.004 s
% 0.70/0.86  % (20442)Instructions burned: 5 (million)
% 0.70/0.86  % (20442)------------------------------
% 0.70/0.86  % (20442)------------------------------
% 0.70/0.86  % (20445)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 (2995ds/117Mi)
% 0.70/0.86  % (20446)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 (2995ds/143Mi)
% 0.70/0.86  % (20431)First to succeed.
% 0.70/0.86  % (20445)Refutation not found, incomplete strategy% (20445)------------------------------
% 0.70/0.86  % (20445)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.86  % (20445)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.86  
% 0.70/0.86  % (20445)Memory used [KB]: 1089
% 0.70/0.86  % (20445)Time elapsed: 0.003 s
% 0.70/0.86  % (20445)Instructions burned: 3 (million)
% 0.70/0.86  % (20431)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20339"
% 0.70/0.86  % (20445)------------------------------
% 0.70/0.86  % (20445)------------------------------
% 0.70/0.86  % (20444)Refutation not found, incomplete strategy% (20444)------------------------------
% 0.70/0.86  % (20444)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.86  % (20444)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.86  
% 0.70/0.86  % (20444)Memory used [KB]: 1157
% 0.70/0.86  % (20444)Time elapsed: 0.007 s
% 0.70/0.86  % (20444)Instructions burned: 8 (million)
% 0.70/0.86  % (20447)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 (2995ds/93Mi)
% 0.70/0.86  % (20444)------------------------------
% 0.70/0.86  % (20444)------------------------------
% 0.70/0.86  % (20431)Refutation found. Thanks to Tanya!
% 0.70/0.86  % SZS status Unsatisfiable for Vampire---4
% 0.70/0.86  % SZS output start Proof for Vampire---4
% See solution above
% 0.70/0.86  % (20431)------------------------------
% 0.70/0.86  % (20431)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.86  % (20431)Termination reason: Refutation
% 0.70/0.86  
% 0.70/0.86  % (20431)Memory used [KB]: 1286
% 0.70/0.86  % (20431)Time elapsed: 0.014 s
% 0.70/0.86  % (20431)Instructions burned: 23 (million)
% 0.70/0.86  % (20339)Success in time 0.481 s
% 0.70/0.86  % Vampire---4.8 exiting
%------------------------------------------------------------------------------