TSTP Solution File: SET014-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET014-2 : 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 : n011.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 03:44:04 EDT 2024

% Result   : Unsatisfiable 0.64s 0.82s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   25 (   7 unt;   0 def)
%            Number of atoms       :   45 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   37 (  17   ~;  18   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   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   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f74,plain,
    $false,
    inference(avatar_sat_refutation,[],[f53,f67,f73]) ).

fof(f73,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f72]) ).

fof(f72,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f70,f24]) ).

fof(f24,axiom,
    ~ subset(union(as,bs),cs),
    file('/export/starexec/sandbox/tmp/tmp.x67gNVtI6B/Vampire---4.8_15364',prove_a_union_b_subset_of_c) ).

fof(f70,plain,
    ( subset(union(as,bs),cs)
    | ~ spl0_1 ),
    inference(resolution,[],[f68,f4]) ).

fof(f4,axiom,
    ! [X2,X3] :
      ( ~ member(member_of_1_not_of_2(X2,X3),X3)
      | subset(X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.x67gNVtI6B/Vampire---4.8_15364',subsets_axiom2) ).

fof(f68,plain,
    ( member(member_of_1_not_of_2(union(as,bs),cs),cs)
    | ~ spl0_1 ),
    inference(resolution,[],[f49,f34]) ).

fof(f34,plain,
    ! [X0] :
      ( ~ member(X0,bs)
      | member(X0,cs) ),
    inference(resolution,[],[f2,f23]) ).

fof(f23,axiom,
    subset(bs,cs),
    file('/export/starexec/sandbox/tmp/tmp.x67gNVtI6B/Vampire---4.8_15364',b_subset_of_c) ).

fof(f2,axiom,
    ! [X2,X3,X1] :
      ( ~ subset(X2,X3)
      | member(X1,X3)
      | ~ member(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.x67gNVtI6B/Vampire---4.8_15364',membership_in_subsets) ).

fof(f49,plain,
    ( member(member_of_1_not_of_2(union(as,bs),cs),bs)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f48,plain,
    ( spl0_1
  <=> member(member_of_1_not_of_2(union(as,bs),cs),bs) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f67,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f66]) ).

fof(f66,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f64,f24]) ).

fof(f64,plain,
    ( subset(union(as,bs),cs)
    | ~ spl0_2 ),
    inference(resolution,[],[f54,f4]) ).

fof(f54,plain,
    ( member(member_of_1_not_of_2(union(as,bs),cs),cs)
    | ~ spl0_2 ),
    inference(resolution,[],[f52,f33]) ).

fof(f33,plain,
    ! [X0] :
      ( ~ member(X0,as)
      | member(X0,cs) ),
    inference(resolution,[],[f2,f22]) ).

fof(f22,axiom,
    subset(as,cs),
    file('/export/starexec/sandbox/tmp/tmp.x67gNVtI6B/Vampire---4.8_15364',a_subset_of_c) ).

fof(f52,plain,
    ( member(member_of_1_not_of_2(union(as,bs),cs),as)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f51,plain,
    ( spl0_2
  <=> member(member_of_1_not_of_2(union(as,bs),cs),as) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f53,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f46,f51,f48]) ).

fof(f46,plain,
    ( member(member_of_1_not_of_2(union(as,bs),cs),as)
    | member(member_of_1_not_of_2(union(as,bs),cs),bs) ),
    inference(resolution,[],[f9,f29]) ).

fof(f29,plain,
    member(member_of_1_not_of_2(union(as,bs),cs),union(as,bs)),
    inference(resolution,[],[f3,f24]) ).

fof(f3,axiom,
    ! [X2,X3] :
      ( subset(X2,X3)
      | member(member_of_1_not_of_2(X2,X3),X2) ),
    file('/export/starexec/sandbox/tmp/tmp.x67gNVtI6B/Vampire---4.8_15364',subsets_axiom1) ).

fof(f9,axiom,
    ! [X0,X4,X5] :
      ( ~ member(X0,union(X4,X5))
      | member(X0,X4)
      | member(X0,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.x67gNVtI6B/Vampire---4.8_15364',member_of_union_is_member_of_one_set) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SET014-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.12  % 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
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Apr 30 17:25:16 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.17/0.33  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.x67gNVtI6B/Vampire---4.8_15364
% 0.64/0.81  % (15480)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)
% 0.64/0.81  % (15481)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)
% 0.64/0.81  % (15479)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.64/0.81  % (15482)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)
% 0.64/0.81  % (15477)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)
% 0.64/0.81  % (15478)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)
% 0.64/0.81  % (15483)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)
% 0.64/0.81  % (15482)Refutation not found, incomplete strategy% (15482)------------------------------
% 0.64/0.81  % (15482)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.81  % (15482)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81  
% 0.64/0.81  % (15482)Memory used [KB]: 962
% 0.64/0.81  % (15482)Time elapsed: 0.002 s
% 0.64/0.81  % (15482)Instructions burned: 2 (million)
% 0.64/0.81  % (15479)Refutation not found, incomplete strategy% (15479)------------------------------
% 0.64/0.81  % (15479)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.81  % (15482)------------------------------
% 0.64/0.81  % (15482)------------------------------
% 0.64/0.81  % (15484)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)
% 0.64/0.81  % (15480)Refutation not found, incomplete strategy% (15480)------------------------------
% 0.64/0.81  % (15480)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.81  % (15479)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81  % (15480)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81  
% 0.64/0.81  % (15480)Memory used [KB]: 975
% 0.64/0.81  % (15480)Time elapsed: 0.003 s
% 0.64/0.81  % (15480)Instructions burned: 2 (million)
% 0.64/0.81  % (15480)------------------------------
% 0.64/0.81  % (15480)------------------------------
% 0.64/0.81  % (15483)Refutation not found, incomplete strategy% (15483)------------------------------
% 0.64/0.81  % (15483)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.81  % (15483)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81  
% 0.64/0.81  % (15483)Memory used [KB]: 976
% 0.64/0.81  % (15483)Time elapsed: 0.002 s
% 0.64/0.81  % (15483)Instructions burned: 2 (million)
% 0.64/0.81  % (15483)------------------------------
% 0.64/0.81  % (15483)------------------------------
% 0.64/0.81  
% 0.64/0.81  % (15479)Memory used [KB]: 975
% 0.64/0.81  % (15479)Time elapsed: 0.003 s
% 0.64/0.81  % (15479)Instructions burned: 2 (million)
% 0.64/0.81  % (15479)------------------------------
% 0.64/0.81  % (15479)------------------------------
% 0.64/0.81  % (15477)Refutation not found, incomplete strategy% (15477)------------------------------
% 0.64/0.81  % (15477)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.81  % (15477)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81  
% 0.64/0.81  % (15477)Memory used [KB]: 977
% 0.64/0.81  % (15477)Time elapsed: 0.003 s
% 0.64/0.81  % (15477)Instructions burned: 2 (million)
% 0.64/0.81  % (15477)------------------------------
% 0.64/0.81  % (15477)------------------------------
% 0.64/0.81  % (15484)Refutation not found, incomplete strategy% (15484)------------------------------
% 0.64/0.81  % (15484)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.81  % (15484)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81  
% 0.64/0.81  % (15484)Memory used [KB]: 962
% 0.64/0.81  % (15484)Time elapsed: 0.002 s
% 0.64/0.81  % (15484)Instructions burned: 2 (million)
% 0.64/0.81  % (15484)------------------------------
% 0.64/0.81  % (15484)------------------------------
% 0.64/0.82  % (15485)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)
% 0.64/0.82  % (15487)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)
% 0.64/0.82  % (15486)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)
% 0.64/0.82  % (15488)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)
% 0.64/0.82  % (15489)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)
% 0.64/0.82  % (15490)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)
% 0.64/0.82  % (15485)Refutation not found, incomplete strategy% (15485)------------------------------
% 0.64/0.82  % (15485)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.82  % (15485)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.82  
% 0.64/0.82  % (15485)Memory used [KB]: 975
% 0.64/0.82  % (15485)Time elapsed: 0.002 s
% 0.64/0.82  % (15485)Instructions burned: 2 (million)
% 0.64/0.82  % (15485)------------------------------
% 0.64/0.82  % (15485)------------------------------
% 0.64/0.82  % (15487)Refutation not found, incomplete strategy% (15487)------------------------------
% 0.64/0.82  % (15487)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.82  % (15487)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.82  
% 0.64/0.82  % (15487)Memory used [KB]: 981
% 0.64/0.82  % (15487)Time elapsed: 0.003 s
% 0.64/0.82  % (15487)Instructions burned: 3 (million)
% 0.64/0.82  % (15487)------------------------------
% 0.64/0.82  % (15487)------------------------------
% 0.64/0.82  % (15490)Refutation not found, incomplete strategy% (15490)------------------------------
% 0.64/0.82  % (15490)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.82  % (15490)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.82  
% 0.64/0.82  % (15490)Memory used [KB]: 980
% 0.64/0.82  % (15490)Time elapsed: 0.003 s
% 0.64/0.82  % (15490)Instructions burned: 2 (million)
% 0.64/0.82  % (15490)------------------------------
% 0.64/0.82  % (15490)------------------------------
% 0.64/0.82  % (15488)First to succeed.
% 0.64/0.82  % (15478)Also succeeded, but the first one will report.
% 0.64/0.82  % (15488)Refutation found. Thanks to Tanya!
% 0.64/0.82  % SZS status Unsatisfiable for Vampire---4
% 0.64/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.82  % (15488)------------------------------
% 0.64/0.82  % (15488)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.82  % (15488)Termination reason: Refutation
% 0.64/0.82  
% 0.64/0.82  % (15488)Memory used [KB]: 1004
% 0.64/0.82  % (15488)Time elapsed: 0.004 s
% 0.64/0.82  % (15488)Instructions burned: 4 (million)
% 0.64/0.82  % (15488)------------------------------
% 0.64/0.82  % (15488)------------------------------
% 0.64/0.82  % (15473)Success in time 0.483 s
% 0.64/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------