TSTP Solution File: SET074-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET074-6 : 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 : n029.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 09:03:39 EDT 2024

% Result   : Unsatisfiable 0.72s 0.84s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   17 (   8 unt;   0 def)
%            Number of atoms       :   29 (   8 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  12   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1303,plain,
    $false,
    inference(subsumption_resolution,[],[f1301,f92]) ).

fof(f92,axiom,
    member(y,universal_class),
    file('/export/starexec/sandbox2/tmp/tmp.mQa5ql70wE/Vampire---4.8_14098',prove_corollary_to_unordered_pair_axiom2_1) ).

fof(f1301,plain,
    ~ member(y,universal_class),
    inference(resolution,[],[f979,f24]) ).

fof(f24,axiom,
    ! [X0,X4] :
      ( ~ member(X4,complement(X0))
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.mQa5ql70wE/Vampire---4.8_14098',complement1) ).

fof(f979,plain,
    member(y,complement(universal_class)),
    inference(superposition,[],[f162,f910]) ).

fof(f910,plain,
    null_class = complement(universal_class),
    inference(resolution,[],[f891,f4]) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox2/tmp/tmp.mQa5ql70wE/Vampire---4.8_14098',class_elements_are_sets) ).

fof(f891,plain,
    ! [X0] :
      ( ~ subclass(complement(X0),X0)
      | complement(X0) = null_class ),
    inference(duplicate_literal_removal,[],[f884]) ).

fof(f884,plain,
    ! [X0] :
      ( complement(X0) = null_class
      | ~ subclass(complement(X0),X0)
      | complement(X0) = null_class ),
    inference(resolution,[],[f256,f66]) ).

fof(f66,axiom,
    ! [X0] :
      ( member(regular(X0),X0)
      | null_class = X0 ),
    file('/export/starexec/sandbox2/tmp/tmp.mQa5ql70wE/Vampire---4.8_14098',regularity1) ).

fof(f256,plain,
    ! [X0,X1] :
      ( ~ member(regular(complement(X0)),X1)
      | complement(X0) = null_class
      | ~ subclass(X1,X0) ),
    inference(resolution,[],[f150,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( member(X2,X1)
      | ~ member(X2,X0)
      | ~ subclass(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.mQa5ql70wE/Vampire---4.8_14098',subclass_members) ).

fof(f150,plain,
    ! [X0] :
      ( ~ member(regular(complement(X0)),X0)
      | complement(X0) = null_class ),
    inference(resolution,[],[f66,f24]) ).

fof(f162,plain,
    member(y,null_class),
    inference(subsumption_resolution,[],[f161,f92]) ).

fof(f161,plain,
    ( member(y,null_class)
    | ~ member(y,universal_class) ),
    inference(superposition,[],[f10,f93]) ).

fof(f93,axiom,
    null_class = unordered_pair(x,y),
    file('/export/starexec/sandbox2/tmp/tmp.mQa5ql70wE/Vampire---4.8_14098',prove_corollary_to_unordered_pair_axiom2_2) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( member(X1,unordered_pair(X0,X1))
      | ~ member(X1,universal_class) ),
    file('/export/starexec/sandbox2/tmp/tmp.mQa5ql70wE/Vampire---4.8_14098',unordered_pair3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SET074-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.14  % 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 : n029.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 16:19:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36  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.mQa5ql70wE/Vampire---4.8_14098
% 0.61/0.79  % (14277)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)
% 0.61/0.79  % (14280)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)
% 0.61/0.79  % (14279)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.79  % (14278)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)
% 0.61/0.79  % (14283)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)
% 0.61/0.79  % (14284)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)
% 0.61/0.79  % (14282)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)
% 0.61/0.79  % (14284)Refutation not found, incomplete strategy% (14284)------------------------------
% 0.61/0.79  % (14284)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (14284)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (14284)Memory used [KB]: 1053
% 0.61/0.79  % (14284)Time elapsed: 0.003 s
% 0.61/0.79  % (14284)Instructions burned: 2 (million)
% 0.61/0.79  % (14280)Refutation not found, incomplete strategy% (14280)------------------------------
% 0.61/0.79  % (14280)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (14284)------------------------------
% 0.61/0.79  % (14284)------------------------------
% 0.61/0.79  % (14280)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (14280)Memory used [KB]: 1071
% 0.61/0.79  % (14280)Time elapsed: 0.003 s
% 0.61/0.79  % (14280)Instructions burned: 3 (million)
% 0.61/0.79  % (14279)Refutation not found, incomplete strategy% (14279)------------------------------
% 0.61/0.79  % (14279)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (14279)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (14279)Memory used [KB]: 1073
% 0.61/0.79  % (14279)Time elapsed: 0.003 s
% 0.61/0.79  % (14279)Instructions burned: 3 (million)
% 0.61/0.79  % (14277)Refutation not found, incomplete strategy% (14277)------------------------------
% 0.61/0.79  % (14277)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (14277)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  % (14280)------------------------------
% 0.61/0.79  % (14280)------------------------------
% 0.61/0.79  
% 0.61/0.79  % (14277)Memory used [KB]: 1086
% 0.61/0.79  % (14277)Time elapsed: 0.003 s
% 0.61/0.79  % (14277)Instructions burned: 5 (million)
% 0.61/0.79  % (14279)------------------------------
% 0.61/0.79  % (14279)------------------------------
% 0.61/0.79  % (14277)------------------------------
% 0.61/0.79  % (14277)------------------------------
% 0.61/0.79  % (14281)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)
% 0.61/0.79  % (14282)Refutation not found, incomplete strategy% (14282)------------------------------
% 0.61/0.79  % (14282)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (14282)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (14282)Memory used [KB]: 1059
% 0.61/0.79  % (14282)Time elapsed: 0.003 s
% 0.61/0.79  % (14282)Instructions burned: 3 (million)
% 0.61/0.79  % (14282)------------------------------
% 0.61/0.79  % (14282)------------------------------
% 0.61/0.79  % (14286)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)
% 0.61/0.79  % (14285)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)
% 0.61/0.79  % (14287)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)
% 0.61/0.80  % (14285)Refutation not found, incomplete strategy% (14285)------------------------------
% 0.61/0.80  % (14285)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (14285)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (14285)Memory used [KB]: 1062
% 0.61/0.80  % (14285)Time elapsed: 0.003 s
% 0.61/0.80  % (14285)Instructions burned: 3 (million)
% 0.61/0.80  % (14289)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)
% 0.61/0.80  % (14285)------------------------------
% 0.61/0.80  % (14285)------------------------------
% 0.61/0.80  % (14288)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)
% 0.61/0.80  % (14290)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)
% 0.61/0.80  % (14290)Refutation not found, incomplete strategy% (14290)------------------------------
% 0.61/0.80  % (14290)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (14290)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (14290)Memory used [KB]: 1078
% 0.61/0.80  % (14290)Time elapsed: 0.004 s
% 0.61/0.80  % (14290)Instructions burned: 5 (million)
% 0.61/0.80  % (14290)------------------------------
% 0.61/0.80  % (14290)------------------------------
% 0.61/0.81  % (14281)Instruction limit reached!
% 0.61/0.81  % (14281)------------------------------
% 0.61/0.81  % (14281)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (14281)Termination reason: Unknown
% 0.61/0.81  % (14281)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (14281)Memory used [KB]: 1341
% 0.61/0.81  % (14281)Time elapsed: 0.017 s
% 0.61/0.81  % (14281)Instructions burned: 35 (million)
% 0.61/0.81  % (14281)------------------------------
% 0.61/0.81  % (14281)------------------------------
% 0.61/0.81  % (14291)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)
% 0.61/0.81  % (14286)Instruction limit reached!
% 0.61/0.81  % (14286)------------------------------
% 0.61/0.81  % (14286)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (14286)Termination reason: Unknown
% 0.61/0.81  % (14286)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (14286)Memory used [KB]: 1654
% 0.61/0.81  % (14286)Time elapsed: 0.018 s
% 0.61/0.81  % (14286)Instructions burned: 52 (million)
% 0.61/0.81  % (14286)------------------------------
% 0.61/0.81  % (14286)------------------------------
% 0.61/0.81  % (14278)Instruction limit reached!
% 0.61/0.81  % (14278)------------------------------
% 0.61/0.81  % (14278)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (14278)Termination reason: Unknown
% 0.61/0.81  % (14278)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (14278)Memory used [KB]: 1387
% 0.61/0.81  % (14278)Time elapsed: 0.025 s
% 0.61/0.81  % (14278)Instructions burned: 51 (million)
% 0.61/0.81  % (14278)------------------------------
% 0.61/0.81  % (14278)------------------------------
% 0.61/0.81  % (14292)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)
% 0.61/0.81  % (14293)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)
% 0.61/0.81  % (14292)Refutation not found, incomplete strategy% (14292)------------------------------
% 0.61/0.81  % (14292)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (14292)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (14292)Memory used [KB]: 1070
% 0.61/0.81  % (14292)Time elapsed: 0.002 s
% 0.61/0.81  % (14292)Instructions burned: 2 (million)
% 0.61/0.81  % (14292)------------------------------
% 0.61/0.81  % (14292)------------------------------
% 0.61/0.82  % (14294)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)
% 0.61/0.82  % (14295)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)
% 0.72/0.82  % (14288)Instruction limit reached!
% 0.72/0.82  % (14288)------------------------------
% 0.72/0.82  % (14288)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.82  % (14288)Termination reason: Unknown
% 0.72/0.82  % (14288)Termination phase: Saturation
% 0.72/0.82  
% 0.72/0.82  % (14288)Memory used [KB]: 1548
% 0.72/0.82  % (14288)Time elapsed: 0.027 s
% 0.72/0.82  % (14288)Instructions burned: 53 (million)
% 0.72/0.82  % (14288)------------------------------
% 0.72/0.82  % (14288)------------------------------
% 0.72/0.83  % (14283)Instruction limit reached!
% 0.72/0.83  % (14283)------------------------------
% 0.72/0.83  % (14283)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.83  % (14283)Termination reason: Unknown
% 0.72/0.83  % (14283)Termination phase: Saturation
% 0.72/0.83  
% 0.72/0.83  % (14283)Memory used [KB]: 1997
% 0.72/0.83  % (14283)Time elapsed: 0.040 s
% 0.72/0.83  % (14283)Instructions burned: 84 (million)
% 0.72/0.83  % (14283)------------------------------
% 0.72/0.83  % (14283)------------------------------
% 0.72/0.83  % (14296)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)
% 0.72/0.84  % (14296)Refutation not found, incomplete strategy% (14296)------------------------------
% 0.72/0.84  % (14296)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.84  % (14296)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.84  
% 0.72/0.84  % (14296)Memory used [KB]: 1191
% 0.72/0.84  % (14296)Time elapsed: 0.012 s
% 0.72/0.84  % (14296)Instructions burned: 18 (million)
% 0.72/0.84  % (14296)------------------------------
% 0.72/0.84  % (14296)------------------------------
% 0.72/0.84  % (14297)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)
% 0.72/0.84  % (14294)First to succeed.
% 0.72/0.84  % (14294)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14276"
% 0.72/0.84  % (14297)Refutation not found, incomplete strategy% (14297)------------------------------
% 0.72/0.84  % (14297)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.84  % (14297)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.84  
% 0.72/0.84  % (14297)Memory used [KB]: 1074
% 0.72/0.84  % (14294)Refutation found. Thanks to Tanya!
% 0.72/0.84  % SZS status Unsatisfiable for Vampire---4
% 0.72/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 0.72/0.84  % (14294)------------------------------
% 0.72/0.84  % (14294)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.84  % (14294)Termination reason: Refutation
% 0.72/0.84  
% 0.72/0.84  % (14294)Memory used [KB]: 1602
% 0.72/0.84  % (14294)Time elapsed: 0.027 s
% 0.72/0.84  % (14294)Instructions burned: 74 (million)
% 0.72/0.84  % (14276)Success in time 0.468 s
% 0.72/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------