TSTP Solution File: SET079-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET079-6 : 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 : n024.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 : Wed May  1 03:44:49 EDT 2024

% Result   : Unsatisfiable 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   26 (   8 unt;   0 def)
%            Number of atoms       :   47 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   40 (  19   ~;  19   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f466,plain,
    $false,
    inference(avatar_sat_refutation,[],[f158,f453,f465]) ).

fof(f465,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f462]) ).

fof(f462,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f153,f92]) ).

fof(f92,axiom,
    member(x,universal_class),
    file('/export/starexec/sandbox/tmp/tmp.rkfn5edKBM/Vampire---4.8_22825',prove_corollary_to_set_in_its_singleton_1) ).

fof(f153,plain,
    ( ~ member(x,universal_class)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f151,plain,
    ( spl0_1
  <=> member(x,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f453,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f442,f155,f151]) ).

fof(f155,plain,
    ( spl0_2
  <=> member(x,null_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f442,plain,
    ( ~ member(x,universal_class)
    | ~ spl0_2 ),
    inference(resolution,[],[f396,f157]) ).

fof(f157,plain,
    ( member(x,null_class)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f396,plain,
    ! [X0] :
      ( ~ member(X0,null_class)
      | ~ member(X0,universal_class) ),
    inference(superposition,[],[f24,f385]) ).

fof(f385,plain,
    null_class = complement(universal_class),
    inference(resolution,[],[f384,f4]) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox/tmp/tmp.rkfn5edKBM/Vampire---4.8_22825',class_elements_are_sets) ).

fof(f384,plain,
    ! [X0] :
      ( ~ subclass(complement(X0),X0)
      | complement(X0) = null_class ),
    inference(duplicate_literal_removal,[],[f379]) ).

fof(f379,plain,
    ! [X0] :
      ( ~ subclass(complement(X0),X0)
      | complement(X0) = null_class
      | complement(X0) = null_class ),
    inference(resolution,[],[f162,f148]) ).

fof(f148,plain,
    ! [X0] :
      ( ~ member(regular(complement(X0)),X0)
      | complement(X0) = null_class ),
    inference(resolution,[],[f24,f66]) ).

fof(f66,axiom,
    ! [X0] :
      ( member(regular(X0),X0)
      | null_class = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.rkfn5edKBM/Vampire---4.8_22825',regularity1) ).

fof(f162,plain,
    ! [X0,X1] :
      ( member(regular(X0),X1)
      | ~ subclass(X0,X1)
      | null_class = X0 ),
    inference(resolution,[],[f1,f66]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,X0)
      | member(X2,X1)
      | ~ subclass(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.rkfn5edKBM/Vampire---4.8_22825',subclass_members) ).

fof(f24,axiom,
    ! [X0,X4] :
      ( ~ member(X4,complement(X0))
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.rkfn5edKBM/Vampire---4.8_22825',complement1) ).

fof(f158,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f149,f155,f151]) ).

fof(f149,plain,
    ( member(x,null_class)
    | ~ member(x,universal_class) ),
    inference(superposition,[],[f9,f142]) ).

fof(f142,plain,
    null_class = unordered_pair(x,x),
    inference(definition_unfolding,[],[f93,f12]) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox/tmp/tmp.rkfn5edKBM/Vampire---4.8_22825',singleton_set) ).

fof(f93,axiom,
    null_class = singleton(x),
    file('/export/starexec/sandbox/tmp/tmp.rkfn5edKBM/Vampire---4.8_22825',prove_corollary_to_set_in_its_singleton_2) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( member(X0,unordered_pair(X0,X1))
      | ~ member(X0,universal_class) ),
    file('/export/starexec/sandbox/tmp/tmp.rkfn5edKBM/Vampire---4.8_22825',unordered_pair2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SET079-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.14  % 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 : n024.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   : Tue Apr 30 17:10:51 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.rkfn5edKBM/Vampire---4.8_22825
% 0.55/0.73  % (23084)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)
% 0.55/0.73  % (23078)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)
% 0.55/0.73  % (23081)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)
% 0.55/0.73  % (23080)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.73  % (23079)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)
% 0.55/0.73  % (23082)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)
% 0.55/0.73  % (23083)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)
% 0.55/0.74  % (23081)Refutation not found, incomplete strategy% (23081)------------------------------
% 0.55/0.74  % (23081)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (23081)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (23081)Memory used [KB]: 1050
% 0.55/0.74  % (23083)Refutation not found, incomplete strategy% (23083)------------------------------
% 0.55/0.74  % (23083)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (23083)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (23083)Memory used [KB]: 1053
% 0.55/0.74  % (23083)Time elapsed: 0.002 s
% 0.55/0.74  % (23083)Instructions burned: 2 (million)
% 0.55/0.74  % (23083)------------------------------
% 0.55/0.74  % (23083)------------------------------
% 0.55/0.74  % (23081)Time elapsed: 0.002 s
% 0.55/0.74  % (23080)Refutation not found, incomplete strategy% (23080)------------------------------
% 0.55/0.74  % (23080)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (23080)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (23080)Memory used [KB]: 1053
% 0.55/0.74  % (23080)Time elapsed: 0.002 s
% 0.55/0.74  % (23080)Instructions burned: 2 (million)
% 0.55/0.74  % (23080)------------------------------
% 0.55/0.74  % (23080)------------------------------
% 0.55/0.74  % (23081)Instructions burned: 2 (million)
% 0.55/0.74  % (23081)------------------------------
% 0.55/0.74  % (23081)------------------------------
% 0.55/0.74  % (23078)Refutation not found, incomplete strategy% (23078)------------------------------
% 0.55/0.74  % (23078)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (23078)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (23078)Memory used [KB]: 1093
% 0.55/0.74  % (23078)Time elapsed: 0.006 s
% 0.55/0.74  % (23078)Instructions burned: 8 (million)
% 0.55/0.74  % (23078)------------------------------
% 0.55/0.74  % (23078)------------------------------
% 0.55/0.74  % (23085)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)
% 0.55/0.74  % (23086)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)
% 0.55/0.74  % (23087)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)
% 0.55/0.74  % (23085)Refutation not found, incomplete strategy% (23085)------------------------------
% 0.55/0.74  % (23085)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (23085)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (23085)Memory used [KB]: 1051
% 0.55/0.74  % (23085)Time elapsed: 0.003 s
% 0.55/0.74  % (23085)Instructions burned: 2 (million)
% 0.55/0.74  % (23085)------------------------------
% 0.55/0.74  % (23085)------------------------------
% 0.55/0.74  % (23086)Refutation not found, incomplete strategy% (23086)------------------------------
% 0.55/0.74  % (23086)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (23086)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (23086)Memory used [KB]: 1053
% 0.55/0.74  % (23086)Time elapsed: 0.003 s
% 0.55/0.74  % (23086)Instructions burned: 2 (million)
% 0.55/0.74  % (23086)------------------------------
% 0.55/0.74  % (23086)------------------------------
% 0.55/0.74  % (23088)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)
% 0.55/0.75  % (23090)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)
% 0.55/0.75  % (23079)First to succeed.
% 0.55/0.75  % (23091)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)
% 0.55/0.75  % (23088)Refutation not found, incomplete strategy% (23088)------------------------------
% 0.55/0.75  % (23088)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (23088)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (23088)Memory used [KB]: 1083
% 0.55/0.75  % (23088)Time elapsed: 0.005 s
% 0.55/0.75  % (23088)Instructions burned: 5 (million)
% 0.55/0.75  % (23088)------------------------------
% 0.55/0.75  % (23088)------------------------------
% 0.55/0.75  % (23079)Refutation found. Thanks to Tanya!
% 0.55/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.55/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75  % (23079)------------------------------
% 0.55/0.75  % (23079)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (23079)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (23079)Memory used [KB]: 1258
% 0.55/0.75  % (23079)Time elapsed: 0.014 s
% 0.55/0.75  % (23079)Instructions burned: 18 (million)
% 0.55/0.75  % (23079)------------------------------
% 0.55/0.75  % (23079)------------------------------
% 0.55/0.75  % (23074)Success in time 0.377 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------