TSTP Solution File: SET009-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET009-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n002.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 09:02:42 EDT 2024

% Result   : Unsatisfiable 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   30 (   6 unt;   0 def)
%            Number of atoms       :   63 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   59 (  26   ~;  31   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f144,plain,
    $false,
    inference(avatar_sat_refutation,[],[f132,f134,f138]) ).

fof(f138,plain,
    ~ spl0_12,
    inference(avatar_contradiction_clause,[],[f135]) ).

fof(f135,plain,
    ( $false
    | ~ spl0_12 ),
    inference(resolution,[],[f131,f16]) ).

fof(f16,axiom,
    ~ subset(bDa,bDd),
    file('/export/starexec/sandbox2/tmp/tmp.T2P1otBcO1/Vampire---4.8_16827',prove_bDa_is_a_subset_of_bDd) ).

fof(f131,plain,
    ( subset(bDa,bDd)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f129]) ).

fof(f129,plain,
    ( spl0_12
  <=> subset(bDa,bDd) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f134,plain,
    ( spl0_12
    | spl0_11 ),
    inference(avatar_split_clause,[],[f133,f125,f129]) ).

fof(f125,plain,
    ( spl0_11
  <=> member(member_of_1_not_of_2(bDa,bDd),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f133,plain,
    ( subset(bDa,bDd)
    | spl0_11 ),
    inference(resolution,[],[f127,f63]) ).

fof(f63,plain,
    ! [X0] :
      ( member(member_of_1_not_of_2(bDa,X0),b)
      | subset(bDa,X0) ),
    inference(resolution,[],[f61,f2]) ).

fof(f2,axiom,
    ! [X2,X1] :
      ( member(member_of_1_not_of_2(X1,X2),X1)
      | subset(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.T2P1otBcO1/Vampire---4.8_16827',subsets_axiom1) ).

fof(f61,plain,
    ! [X0] :
      ( ~ member(X0,bDa)
      | member(X0,b) ),
    inference(resolution,[],[f7,f14]) ).

fof(f14,axiom,
    difference(b,a,bDa),
    file('/export/starexec/sandbox2/tmp/tmp.T2P1otBcO1/Vampire---4.8_16827',b_minus_a) ).

fof(f7,axiom,
    ! [X3,X0,X4,X5] :
      ( ~ difference(X3,X4,X5)
      | ~ member(X0,X5)
      | member(X0,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.T2P1otBcO1/Vampire---4.8_16827',member_of_difference) ).

fof(f127,plain,
    ( ~ member(member_of_1_not_of_2(bDa,bDd),b)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f132,plain,
    ( ~ spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f123,f129,f125]) ).

fof(f123,plain,
    ( subset(bDa,bDd)
    | ~ member(member_of_1_not_of_2(bDa,bDd),b) ),
    inference(duplicate_literal_removal,[],[f122]) ).

fof(f122,plain,
    ( subset(bDa,bDd)
    | ~ member(member_of_1_not_of_2(bDa,bDd),b)
    | subset(bDa,bDd) ),
    inference(resolution,[],[f107,f93]) ).

fof(f93,plain,
    ! [X0] :
      ( ~ member(member_of_1_not_of_2(bDa,X0),a)
      | subset(bDa,X0) ),
    inference(resolution,[],[f91,f2]) ).

fof(f91,plain,
    ! [X0] :
      ( ~ member(X0,bDa)
      | ~ member(X0,a) ),
    inference(resolution,[],[f8,f14]) ).

fof(f8,axiom,
    ! [X3,X0,X6,X4] :
      ( ~ difference(X6,X3,X4)
      | ~ member(X0,X4)
      | ~ member(X0,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.T2P1otBcO1/Vampire---4.8_16827',not_member_of_difference) ).

fof(f107,plain,
    ! [X0] :
      ( member(member_of_1_not_of_2(X0,bDd),a)
      | subset(X0,bDd)
      | ~ member(member_of_1_not_of_2(X0,bDd),b) ),
    inference(resolution,[],[f100,f19]) ).

fof(f19,plain,
    ! [X0] :
      ( ~ member(X0,d)
      | member(X0,a) ),
    inference(resolution,[],[f1,f13]) ).

fof(f13,axiom,
    subset(d,a),
    file('/export/starexec/sandbox2/tmp/tmp.T2P1otBcO1/Vampire---4.8_16827',d_is_a_subset_of_a) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ subset(X1,X2)
      | member(X0,X2)
      | ~ member(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.T2P1otBcO1/Vampire---4.8_16827',membership_in_subsets) ).

fof(f100,plain,
    ! [X0] :
      ( member(member_of_1_not_of_2(X0,bDd),d)
      | ~ member(member_of_1_not_of_2(X0,bDd),b)
      | subset(X0,bDd) ),
    inference(resolution,[],[f96,f3]) ).

fof(f3,axiom,
    ! [X2,X1] :
      ( ~ member(member_of_1_not_of_2(X1,X2),X2)
      | subset(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.T2P1otBcO1/Vampire---4.8_16827',subsets_axiom2) ).

fof(f96,plain,
    ! [X0] :
      ( member(X0,bDd)
      | member(X0,d)
      | ~ member(X0,b) ),
    inference(resolution,[],[f9,f15]) ).

fof(f15,axiom,
    difference(b,d,bDd),
    file('/export/starexec/sandbox2/tmp/tmp.T2P1otBcO1/Vampire---4.8_16827',b_minus_d) ).

fof(f9,axiom,
    ! [X3,X0,X4,X5] :
      ( ~ difference(X3,X4,X5)
      | member(X0,X5)
      | member(X0,X4)
      | ~ member(X0,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.T2P1otBcO1/Vampire---4.8_16827',member_of_difference_or_set2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SET009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15  % 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 : n002.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 16:36:23 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a CNF_UNS_RFO_NEQ_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.T2P1otBcO1/Vampire---4.8_16827
% 0.55/0.76  % (17177)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)
% 0.61/0.76  % (17177)Refutation not found, incomplete strategy% (17177)------------------------------
% 0.61/0.76  % (17177)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (17177)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (17177)Memory used [KB]: 971
% 0.61/0.76  % (17177)Time elapsed: 0.002 s
% 0.61/0.76  % (17177)Instructions burned: 2 (million)
% 0.61/0.76  % (17177)------------------------------
% 0.61/0.76  % (17177)------------------------------
% 0.61/0.76  % (17170)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)
% 0.61/0.76  % (17172)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.76  % (17174)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)
% 0.61/0.76  % (17175)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)
% 0.61/0.76  % (17171)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)
% 0.61/0.76  % (17173)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)
% 0.61/0.76  % (17176)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)
% 0.61/0.76  % (17175)Refutation not found, incomplete strategy% (17175)------------------------------
% 0.61/0.76  % (17175)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (17175)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (17175)Memory used [KB]: 971
% 0.61/0.76  % (17175)Time elapsed: 0.002 s
% 0.61/0.76  % (17175)Instructions burned: 2 (million)
% 0.61/0.76  % (17176)Refutation not found, incomplete strategy% (17176)------------------------------
% 0.61/0.76  % (17176)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (17176)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (17176)Memory used [KB]: 973
% 0.61/0.76  % (17176)Time elapsed: 0.003 s
% 0.61/0.76  % (17176)Instructions burned: 3 (million)
% 0.61/0.76  % (17175)------------------------------
% 0.61/0.76  % (17175)------------------------------
% 0.61/0.76  % (17176)------------------------------
% 0.61/0.76  % (17176)------------------------------
% 0.61/0.76  % (17173)Refutation not found, incomplete strategy% (17173)------------------------------
% 0.61/0.76  % (17173)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (17173)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (17173)Memory used [KB]: 987
% 0.61/0.76  % (17173)Time elapsed: 0.003 s
% 0.61/0.76  % (17173)Instructions burned: 3 (million)
% 0.61/0.76  % (17173)------------------------------
% 0.61/0.76  % (17173)------------------------------
% 0.61/0.76  % (17180)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)
% 0.61/0.76  % (17171)First to succeed.
% 0.61/0.76  % (17180)Refutation not found, incomplete strategy% (17180)------------------------------
% 0.61/0.76  % (17180)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (17180)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (17180)Memory used [KB]: 981
% 0.61/0.76  % (17180)Time elapsed: 0.001 s
% 0.61/0.76  % (17180)Instructions burned: 2 (million)
% 0.61/0.76  % (17180)------------------------------
% 0.61/0.76  % (17180)------------------------------
% 0.61/0.76  % (17171)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17008"
% 0.61/0.77  % (17171)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (17171)------------------------------
% 0.61/0.77  % (17171)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (17171)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (17171)Memory used [KB]: 1027
% 0.61/0.77  % (17171)Time elapsed: 0.005 s
% 0.61/0.77  % (17171)Instructions burned: 5 (million)
% 0.61/0.77  % (17008)Success in time 0.389 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------