TSTP Solution File: SET233-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET233-6 : 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 : n014.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 09:04:58 EDT 2024

% Result   : Unsatisfiable 0.69s 0.88s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   27 (  11 unt;   0 def)
%            Number of atoms       :   44 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   38 (  21   ~;  15   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f166,plain,
    $false,
    inference(avatar_sat_refutation,[],[f154,f161,f165]) ).

fof(f165,plain,
    ~ spl3_1,
    inference(avatar_contradiction_clause,[],[f164]) ).

fof(f164,plain,
    ( $false
    | ~ spl3_1 ),
    inference(subsumption_resolution,[],[f163,f123]) ).

fof(f123,plain,
    member(sF1,sF0),
    inference(subsumption_resolution,[],[f122,f118]) ).

fof(f118,plain,
    ~ subclass(sF0,z),
    inference(definition_folding,[],[f113,f117]) ).

fof(f117,plain,
    cross_product(x,y) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f113,axiom,
    ~ subclass(cross_product(x,y),z),
    file('/export/starexec/sandbox/tmp/tmp.CFckPZffNX/Vampire---4.8_27679',prove_cross_product_property8_1) ).

fof(f122,plain,
    ( member(sF1,sF0)
    | subclass(sF0,z) ),
    inference(superposition,[],[f2,f119]) ).

fof(f119,plain,
    not_subclass_element(sF0,z) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.CFckPZffNX/Vampire---4.8_27679',not_subclass_members1) ).

fof(f163,plain,
    ( ~ member(sF1,sF0)
    | ~ spl3_1 ),
    inference(superposition,[],[f149,f117]) ).

fof(f149,plain,
    ( ! [X0,X1] : ~ member(sF1,cross_product(X0,X1))
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f148,plain,
    ( spl3_1
  <=> ! [X0,X1] : ~ member(sF1,cross_product(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f161,plain,
    ~ spl3_2,
    inference(avatar_contradiction_clause,[],[f160]) ).

fof(f160,plain,
    ( $false
    | ~ spl3_2 ),
    inference(subsumption_resolution,[],[f159,f121]) ).

fof(f121,plain,
    ~ member(sF2,y),
    inference(definition_folding,[],[f114,f120,f119,f117]) ).

fof(f120,plain,
    second(sF1) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f114,axiom,
    ~ member(second(not_subclass_element(cross_product(x,y),z)),y),
    file('/export/starexec/sandbox/tmp/tmp.CFckPZffNX/Vampire---4.8_27679',prove_cross_product_property8_2) ).

fof(f159,plain,
    ( member(sF2,y)
    | ~ spl3_2 ),
    inference(subsumption_resolution,[],[f155,f123]) ).

fof(f155,plain,
    ( ~ member(sF1,sF0)
    | member(sF2,y)
    | ~ spl3_2 ),
    inference(superposition,[],[f141,f153]) ).

fof(f153,plain,
    ( sF1 = ordered_pair(first(sF1),sF2)
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f151,plain,
    ( spl3_2
  <=> sF1 = ordered_pair(first(sF1),sF2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( ~ member(ordered_pair(X0,X1),sF0)
      | member(X1,y) ),
    inference(superposition,[],[f15,f117]) ).

fof(f15,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
      | member(X3,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.CFckPZffNX/Vampire---4.8_27679',cartesian_product2) ).

fof(f154,plain,
    ( spl3_1
    | spl3_2 ),
    inference(avatar_split_clause,[],[f142,f151,f148]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( sF1 = ordered_pair(first(sF1),sF2)
      | ~ member(sF1,cross_product(X0,X1)) ),
    inference(superposition,[],[f17,f120]) ).

fof(f17,axiom,
    ! [X0,X1,X4] :
      ( ordered_pair(first(X4),second(X4)) = X4
      | ~ member(X4,cross_product(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.CFckPZffNX/Vampire---4.8_27679',cartesian_product4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : SET233-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.15  % 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
% 0.14/0.36  % Computer : n014.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 16:37:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36  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.CFckPZffNX/Vampire---4.8_27679
% 0.69/0.85  % (28012)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.69/0.85  % (28010)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)
% 0.69/0.85  % (28015)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)
% 0.69/0.85  % (28011)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)
% 0.69/0.85  % (28013)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)
% 0.69/0.85  % (28014)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)
% 0.69/0.85  % (28016)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)
% 0.69/0.85  % (28017)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)
% 0.69/0.86  % (28010)Instruction limit reached!
% 0.69/0.86  % (28010)------------------------------
% 0.69/0.86  % (28010)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.86  % (28010)Termination reason: Unknown
% 0.69/0.86  % (28010)Termination phase: Saturation
% 0.69/0.86  
% 0.69/0.86  % (28010)Memory used [KB]: 1279
% 0.69/0.86  % (28010)Time elapsed: 0.017 s
% 0.69/0.86  % (28010)Instructions burned: 34 (million)
% 0.69/0.86  % (28010)------------------------------
% 0.69/0.86  % (28010)------------------------------
% 0.69/0.87  % (28015)Instruction limit reached!
% 0.69/0.87  % (28015)------------------------------
% 0.69/0.87  % (28015)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.87  % (28015)Termination reason: Unknown
% 0.69/0.87  % (28015)Termination phase: Saturation
% 0.69/0.87  
% 0.69/0.87  % (28015)Memory used [KB]: 1204
% 0.69/0.87  % (28015)Time elapsed: 0.017 s
% 0.69/0.87  % (28015)Instructions burned: 45 (million)
% 0.69/0.87  % (28015)------------------------------
% 0.69/0.87  % (28015)------------------------------
% 0.69/0.87  % (28013)Instruction limit reached!
% 0.69/0.87  % (28013)------------------------------
% 0.69/0.87  % (28013)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.87  % (28013)Termination reason: Unknown
% 0.69/0.87  % (28014)Instruction limit reached!
% 0.69/0.87  % (28014)------------------------------
% 0.69/0.87  % (28014)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.87  % (28013)Termination phase: Saturation
% 0.69/0.87  
% 0.69/0.87  % (28013)Memory used [KB]: 1242
% 0.69/0.87  % (28013)Time elapsed: 0.020 s
% 0.69/0.87  % (28013)Instructions burned: 35 (million)
% 0.69/0.87  % (28013)------------------------------
% 0.69/0.87  % (28013)------------------------------
% 0.69/0.87  % (28014)Termination reason: Unknown
% 0.69/0.87  % (28014)Termination phase: Saturation
% 0.69/0.87  
% 0.69/0.87  % (28014)Memory used [KB]: 1391
% 0.69/0.87  % (28014)Time elapsed: 0.020 s
% 0.69/0.87  % (28014)Instructions burned: 34 (million)
% 0.69/0.87  % (28014)------------------------------
% 0.69/0.87  % (28014)------------------------------
% 0.69/0.87  % (28017)Instruction limit reached!
% 0.69/0.87  % (28017)------------------------------
% 0.69/0.87  % (28017)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.87  % (28018)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)
% 0.69/0.87  % (28017)Termination reason: Unknown
% 0.69/0.87  % (28017)Termination phase: Saturation
% 0.69/0.87  % (28019)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)
% 0.69/0.87  
% 0.69/0.87  % (28017)Memory used [KB]: 1218
% 0.69/0.87  % (28017)Time elapsed: 0.020 s
% 0.69/0.87  % (28017)Instructions burned: 56 (million)
% 0.69/0.87  % (28017)------------------------------
% 0.69/0.87  % (28017)------------------------------
% 0.69/0.87  % (28018)Refutation not found, incomplete strategy% (28018)------------------------------
% 0.69/0.87  % (28018)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.87  % (28018)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.87  
% 0.69/0.87  % (28018)Memory used [KB]: 1073
% 0.69/0.87  % (28018)Time elapsed: 0.024 s
% 0.69/0.87  % (28018)Instructions burned: 3 (million)
% 0.69/0.87  % (28018)------------------------------
% 0.69/0.87  % (28018)------------------------------
% 0.69/0.87  % (28020)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)
% 0.69/0.87  % (28021)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 (2994ds/52Mi)
% 0.69/0.87  % (28022)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 (2994ds/518Mi)
% 0.69/0.87  % (28023)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 (2994ds/42Mi)
% 0.69/0.87  % (28020)First to succeed.
% 0.69/0.87  % (28020)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27918"
% 0.69/0.88  % (28020)Refutation found. Thanks to Tanya!
% 0.69/0.88  % SZS status Unsatisfiable for Vampire---4
% 0.69/0.88  % SZS output start Proof for Vampire---4
% See solution above
% 0.69/0.88  % (28020)------------------------------
% 0.69/0.88  % (28020)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.88  % (28020)Termination reason: Refutation
% 0.69/0.88  
% 0.69/0.88  % (28020)Memory used [KB]: 1114
% 0.69/0.88  % (28020)Time elapsed: 0.005 s
% 0.69/0.88  % (28020)Instructions burned: 5 (million)
% 0.69/0.88  % (27918)Success in time 0.516 s
% 0.69/0.88  % Vampire---4.8 exiting
%------------------------------------------------------------------------------