TSTP Solution File: SET012-4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET012-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : n019.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 09:02:45 EDT 2024

% Result   : Unsatisfiable 0.70s 0.89s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (  10 unt;   0 def)
%            Number of atoms       :   43 (  10 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   36 (  15   ~;  21   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f89,plain,
    $false,
    inference(subsumption_resolution,[],[f85,f83]) ).

fof(f83,plain,
    ~ member(f1(as,cs),bs),
    inference(forward_demodulation,[],[f80,f9]) ).

fof(f9,axiom,
    complement(as) = bs,
    file('/export/starexec/sandbox2/tmp/tmp.5cmNzfgST8/Vampire---4.8_23930',complement_of_a_is_b) ).

fof(f80,plain,
    ~ member(f1(as,cs),complement(as)),
    inference(unit_resulting_resolution,[],[f76,f5]) ).

fof(f5,axiom,
    ! [X2,X0] :
      ( ~ member(X2,complement(X0))
      | ~ member(X2,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.5cmNzfgST8/Vampire---4.8_23930',complement1) ).

fof(f76,plain,
    member(f1(as,cs),as),
    inference(subsumption_resolution,[],[f70,f11]) ).

fof(f11,axiom,
    as != cs,
    file('/export/starexec/sandbox2/tmp/tmp.5cmNzfgST8/Vampire---4.8_23930',prove_a_equals_c) ).

fof(f70,plain,
    ( member(f1(as,cs),as)
    | as = cs ),
    inference(factoring,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( member(f1(X0,cs),X0)
      | member(f1(X0,cs),as)
      | cs = X0 ),
    inference(subsumption_resolution,[],[f35,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( little_set(f1(X0,X1))
      | X0 = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.5cmNzfgST8/Vampire---4.8_23930',extensionality1) ).

fof(f35,plain,
    ! [X0] :
      ( member(f1(X0,cs),X0)
      | cs = X0
      | ~ little_set(f1(X0,cs))
      | member(f1(X0,cs),as) ),
    inference(resolution,[],[f20,f15]) ).

fof(f15,plain,
    ! [X0] :
      ( member(X0,bs)
      | ~ little_set(X0)
      | member(X0,as) ),
    inference(superposition,[],[f6,f9]) ).

fof(f6,axiom,
    ! [X2,X0] :
      ( member(X2,complement(X0))
      | ~ little_set(X2)
      | member(X2,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.5cmNzfgST8/Vampire---4.8_23930',complement2) ).

fof(f20,plain,
    ! [X0] :
      ( ~ member(f1(X0,cs),bs)
      | member(f1(X0,cs),X0)
      | cs = X0 ),
    inference(resolution,[],[f16,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( member(f1(X0,X1),X1)
      | member(f1(X0,X1),X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.5cmNzfgST8/Vampire---4.8_23930',extensionality2) ).

fof(f16,plain,
    ! [X0] :
      ( ~ member(X0,cs)
      | ~ member(X0,bs) ),
    inference(superposition,[],[f5,f10]) ).

fof(f10,axiom,
    complement(bs) = cs,
    file('/export/starexec/sandbox2/tmp/tmp.5cmNzfgST8/Vampire---4.8_23930',complement_of_b_is_c) ).

fof(f85,plain,
    member(f1(as,cs),bs),
    inference(unit_resulting_resolution,[],[f12,f77,f17]) ).

fof(f17,plain,
    ! [X0] :
      ( member(X0,cs)
      | ~ little_set(X0)
      | member(X0,bs) ),
    inference(superposition,[],[f6,f10]) ).

fof(f77,plain,
    ~ member(f1(as,cs),cs),
    inference(unit_resulting_resolution,[],[f11,f76,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ~ member(f1(X0,X1),X0)
      | ~ member(f1(X0,X1),X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.5cmNzfgST8/Vampire---4.8_23930',extensionality3) ).

fof(f12,plain,
    little_set(f1(as,cs)),
    inference(unit_resulting_resolution,[],[f11,f2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : SET012-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.10/0.15  % 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
% 0.14/0.36  % Computer : n019.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   : Fri May  3 16:49:38 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.5cmNzfgST8/Vampire---4.8_23930
% 0.70/0.89  % (24191)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.70/0.89  % (24189)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 (2994ds/51Mi)
% 0.70/0.89  % (24188)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 (2994ds/34Mi)
% 0.70/0.89  % (24190)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.70/0.89  % (24192)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 (2994ds/34Mi)
% 0.70/0.89  % (24193)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.70/0.89  % (24195)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 (2994ds/56Mi)
% 0.70/0.89  % (24191)Refutation not found, incomplete strategy% (24191)------------------------------
% 0.70/0.89  % (24191)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89  % (24191)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.89  
% 0.70/0.89  % (24191)Memory used [KB]: 950
% 0.70/0.89  % (24191)Time elapsed: 0.003 s
% 0.70/0.89  % (24191)Instructions burned: 2 (million)
% 0.70/0.89  % (24194)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 (2994ds/83Mi)
% 0.70/0.89  % (24193)Refutation not found, incomplete strategy% (24193)------------------------------
% 0.70/0.89  % (24193)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89  % (24193)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.89  
% 0.70/0.89  % (24193)Memory used [KB]: 952
% 0.70/0.89  % (24193)Time elapsed: 0.003 s
% 0.70/0.89  % (24193)Instructions burned: 2 (million)
% 0.70/0.89  % (24191)------------------------------
% 0.70/0.89  % (24191)------------------------------
% 0.70/0.89  % (24192)Refutation not found, incomplete strategy% (24192)------------------------------
% 0.70/0.89  % (24192)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89  % (24192)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.89  % (24195)Refutation not found, incomplete strategy% (24195)------------------------------
% 0.70/0.89  % (24195)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89  % (24195)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.89  
% 0.70/0.89  % (24195)Memory used [KB]: 950
% 0.70/0.89  % (24195)Time elapsed: 0.002 s
% 0.70/0.89  % (24195)Instructions burned: 2 (million)
% 0.70/0.89  
% 0.70/0.89  % (24192)Memory used [KB]: 970
% 0.70/0.89  % (24192)Time elapsed: 0.003 s
% 0.70/0.89  % (24192)Instructions burned: 2 (million)
% 0.70/0.89  % (24193)------------------------------
% 0.70/0.89  % (24193)------------------------------
% 0.70/0.89  % (24195)------------------------------
% 0.70/0.89  % (24195)------------------------------
% 0.70/0.89  % (24192)------------------------------
% 0.70/0.89  % (24192)------------------------------
% 0.70/0.89  % (24188)Refutation not found, incomplete strategy% (24188)------------------------------
% 0.70/0.89  % (24188)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89  % (24188)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.89  
% 0.70/0.89  % (24188)Memory used [KB]: 976
% 0.70/0.89  % (24188)Time elapsed: 0.005 s
% 0.70/0.89  % (24188)Instructions burned: 5 (million)
% 0.70/0.89  % (24188)------------------------------
% 0.70/0.89  % (24188)------------------------------
% 0.70/0.89  % (24194)First to succeed.
% 0.70/0.89  % (24194)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24145"
% 0.70/0.89  % (24196)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 (2994ds/55Mi)
% 0.70/0.89  % (24194)Refutation found. Thanks to Tanya!
% 0.70/0.89  % SZS status Unsatisfiable for Vampire---4
% 0.70/0.89  % SZS output start Proof for Vampire---4
% See solution above
% 0.70/0.89  % (24194)------------------------------
% 0.70/0.89  % (24194)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.89  % (24194)Termination reason: Refutation
% 0.70/0.89  
% 0.70/0.89  % (24194)Memory used [KB]: 983
% 0.70/0.89  % (24194)Time elapsed: 0.005 s
% 0.70/0.89  % (24194)Instructions burned: 5 (million)
% 0.70/0.89  % (24145)Success in time 0.527 s
% 0.70/0.89  % Vampire---4.8 exiting
%------------------------------------------------------------------------------