TSTP Solution File: SET451-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET451-6 : 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 : n018.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 09:06:29 EDT 2024

% Result   : Unsatisfiable 0.59s 0.80s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   4 unt;   0 def)
%            Number of atoms       :   16 (   1 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   3   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1098,plain,
    $false,
    inference(subsumption_resolution,[],[f1097,f113]) ).

fof(f113,axiom,
    ~ subclass(subset_relation,cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox2/tmp/tmp.4FbcBHGc92/Vampire---4.8_26192',prove_subset_relation_alternate_defn1_1) ).

fof(f1097,plain,
    subclass(subset_relation,cross_product(universal_class,universal_class)),
    inference(duplicate_literal_removal,[],[f1093]) ).

fof(f1093,plain,
    ( subclass(subset_relation,cross_product(universal_class,universal_class))
    | subclass(subset_relation,cross_product(universal_class,universal_class)) ),
    inference(resolution,[],[f589,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.4FbcBHGc92/Vampire---4.8_26192',not_subclass_members2) ).

fof(f589,plain,
    ! [X0] :
      ( member(not_subclass_element(subset_relation,X0),cross_product(universal_class,universal_class))
      | subclass(subset_relation,X0) ),
    inference(superposition,[],[f180,f74]) ).

fof(f74,axiom,
    intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation))))) = subset_relation,
    file('/export/starexec/sandbox2/tmp/tmp.4FbcBHGc92/Vampire---4.8_26192',subset_relation) ).

fof(f180,plain,
    ! [X2,X0,X1] :
      ( subclass(intersection(X0,X1),X2)
      | member(not_subclass_element(intersection(X0,X1),X2),X0) ),
    inference(resolution,[],[f21,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.4FbcBHGc92/Vampire---4.8_26192',not_subclass_members1) ).

fof(f21,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.4FbcBHGc92/Vampire---4.8_26192',intersection1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET451-6 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n018.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 16:30:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  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.4FbcBHGc92/Vampire---4.8_26192
% 0.59/0.76  % (26348)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)
% 0.59/0.76  % (26350)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.76  % (26351)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)
% 0.59/0.76  % (26352)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  % (26349)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)
% 0.59/0.76  % (26353)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)
% 0.59/0.76  % (26351)Refutation not found, incomplete strategy% (26351)------------------------------
% 0.59/0.76  % (26351)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (26351)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (26351)Memory used [KB]: 1073
% 0.59/0.76  % (26351)Time elapsed: 0.003 s
% 0.59/0.76  % (26351)Instructions burned: 2 (million)
% 0.59/0.76  % (26353)Refutation not found, incomplete strategy% (26353)------------------------------
% 0.59/0.76  % (26353)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (26353)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (26353)Memory used [KB]: 1071
% 0.59/0.76  % (26353)Time elapsed: 0.003 s
% 0.59/0.76  % (26353)Instructions burned: 3 (million)
% 0.59/0.76  % (26351)------------------------------
% 0.59/0.76  % (26351)------------------------------
% 0.59/0.76  % (26348)Refutation not found, incomplete strategy% (26348)------------------------------
% 0.59/0.76  % (26348)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (26348)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (26348)Memory used [KB]: 1102
% 0.59/0.76  % (26348)Time elapsed: 0.003 s
% 0.59/0.76  % (26348)Instructions burned: 5 (million)
% 0.59/0.76  % (26348)------------------------------
% 0.59/0.76  % (26348)------------------------------
% 0.59/0.76  % (26353)------------------------------
% 0.59/0.76  % (26353)------------------------------
% 0.59/0.76  % (26355)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)
% 0.59/0.76  % (26352)Refutation not found, incomplete strategy% (26352)------------------------------
% 0.59/0.76  % (26352)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (26352)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (26352)Memory used [KB]: 1130
% 0.59/0.76  % (26352)Time elapsed: 0.004 s
% 0.59/0.76  % (26352)Instructions burned: 6 (million)
% 0.59/0.76  % (26352)------------------------------
% 0.59/0.76  % (26352)------------------------------
% 0.59/0.76  % (26355)Refutation not found, incomplete strategy% (26355)------------------------------
% 0.59/0.76  % (26355)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (26355)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (26355)Memory used [KB]: 1070
% 0.59/0.76  % (26355)Time elapsed: 0.003 s
% 0.59/0.76  % (26355)Instructions burned: 3 (million)
% 0.59/0.76  % (26354)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)
% 0.59/0.77  % (26355)------------------------------
% 0.59/0.77  % (26355)------------------------------
% 0.59/0.77  % (26356)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)
% 0.59/0.77  % (26357)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)
% 0.59/0.77  % (26356)Refutation not found, incomplete strategy% (26356)------------------------------
% 0.59/0.77  % (26356)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (26356)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (26356)Memory used [KB]: 1074
% 0.59/0.77  % (26356)Time elapsed: 0.002 s
% 0.59/0.77  % (26356)Instructions burned: 3 (million)
% 0.59/0.77  % (26354)Refutation not found, incomplete strategy% (26354)------------------------------
% 0.59/0.77  % (26354)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (26354)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (26354)Memory used [KB]: 1073
% 0.59/0.77  % (26354)Time elapsed: 0.004 s
% 0.59/0.77  % (26354)Instructions burned: 4 (million)
% 0.59/0.77  % (26356)------------------------------
% 0.59/0.77  % (26356)------------------------------
% 0.59/0.77  % (26354)------------------------------
% 0.59/0.77  % (26354)------------------------------
% 0.59/0.77  % (26359)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)
% 0.59/0.77  % (26360)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)
% 0.59/0.77  % (26358)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)
% 0.59/0.77  % (26361)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)
% 0.59/0.77  % (26360)Refutation not found, incomplete strategy% (26360)------------------------------
% 0.59/0.77  % (26360)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (26360)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (26360)Memory used [KB]: 1128
% 0.59/0.77  % (26360)Time elapsed: 0.003 s
% 0.59/0.77  % (26360)Instructions burned: 4 (million)
% 0.59/0.77  % (26360)------------------------------
% 0.59/0.77  % (26360)------------------------------
% 0.59/0.77  % (26362)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)
% 0.59/0.77  % (26358)Refutation not found, incomplete strategy% (26358)------------------------------
% 0.59/0.77  % (26358)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (26358)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (26358)Memory used [KB]: 1102
% 0.59/0.77  % (26358)Time elapsed: 0.003 s
% 0.59/0.77  % (26358)Instructions burned: 4 (million)
% 0.59/0.77  % (26358)------------------------------
% 0.59/0.77  % (26358)------------------------------
% 0.59/0.77  % (26364)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)
% 0.59/0.78  % (26363)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)
% 0.59/0.78  % (26363)Refutation not found, incomplete strategy% (26363)------------------------------
% 0.59/0.78  % (26363)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (26363)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (26363)Memory used [KB]: 1092
% 0.59/0.78  % (26363)Time elapsed: 0.003 s
% 0.59/0.78  % (26363)Instructions burned: 4 (million)
% 0.59/0.78  % (26363)------------------------------
% 0.59/0.78  % (26363)------------------------------
% 0.59/0.78  % (26361)Instruction limit reached!
% 0.59/0.78  % (26361)------------------------------
% 0.59/0.78  % (26361)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (26361)Termination reason: Unknown
% 0.59/0.78  % (26361)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (26361)Memory used [KB]: 1711
% 0.59/0.78  % (26361)Time elapsed: 0.015 s
% 0.59/0.78  % (26361)Instructions burned: 42 (million)
% 0.59/0.78  % (26361)------------------------------
% 0.59/0.78  % (26361)------------------------------
% 0.59/0.79  % (26365)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)
% 0.59/0.79  % (26349)Instruction limit reached!
% 0.59/0.79  % (26349)------------------------------
% 0.59/0.79  % (26349)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (26349)Termination reason: Unknown
% 0.59/0.79  % (26349)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (26349)Memory used [KB]: 1702
% 0.59/0.79  % (26349)Time elapsed: 0.030 s
% 0.59/0.79  % (26349)Instructions burned: 51 (million)
% 0.59/0.79  % (26349)------------------------------
% 0.59/0.79  % (26349)------------------------------
% 0.59/0.79  % (26357)Instruction limit reached!
% 0.59/0.79  % (26357)------------------------------
% 0.59/0.79  % (26357)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (26357)Termination reason: Unknown
% 0.59/0.79  % (26357)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (26357)Memory used [KB]: 1604
% 0.59/0.79  % (26357)Time elapsed: 0.027 s
% 0.59/0.79  % (26357)Instructions burned: 50 (million)
% 0.59/0.79  % (26357)------------------------------
% 0.59/0.79  % (26357)------------------------------
% 0.59/0.79  % (26366)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.59/0.79  % (26367)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.59/0.80  % (26359)Instruction limit reached!
% 0.59/0.80  % (26359)------------------------------
% 0.59/0.80  % (26359)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (26359)Termination reason: Unknown
% 0.59/0.80  % (26359)Termination phase: Saturation
% 0.59/0.80  
% 0.59/0.80  % (26359)Memory used [KB]: 1757
% 0.59/0.80  % (26359)Time elapsed: 0.029 s
% 0.59/0.80  % (26359)Instructions burned: 52 (million)
% 0.59/0.80  % (26359)------------------------------
% 0.59/0.80  % (26359)------------------------------
% 0.59/0.80  % (26368)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.59/0.80  % (26350)First to succeed.
% 0.59/0.80  % (26350)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26347"
% 0.59/0.80  % (26350)Refutation found. Thanks to Tanya!
% 0.59/0.80  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.80  % (26350)------------------------------
% 0.59/0.80  % (26350)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (26350)Termination reason: Refutation
% 0.59/0.80  
% 0.59/0.80  % (26350)Memory used [KB]: 1663
% 0.59/0.80  % (26350)Time elapsed: 0.039 s
% 0.59/0.80  % (26350)Instructions burned: 66 (million)
% 0.59/0.80  % (26347)Success in time 0.424 s
% 0.59/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------