TSTP Solution File: SET085-7 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET085-7 : 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 : n032.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 03:44:51 EDT 2024

% Result   : Unsatisfiable 0.60s 0.82s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   14 (  12 unt;   0 def)
%            Number of atoms       :   17 (   8 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   10 (   7   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f171,plain,
    $false,
    inference(subsumption_resolution,[],[f170,f147]) ).

fof(f147,plain,
    ! [X0] : member(x,unordered_pair(x,X0)),
    inference(unit_resulting_resolution,[],[f130,f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( member(X0,unordered_pair(X0,X1))
      | ~ member(X0,universal_class) ),
    file('/export/starexec/sandbox/tmp/tmp.1PsZXpel3U/Vampire---4.8_21479',unordered_pair2) ).

fof(f130,axiom,
    member(x,universal_class),
    file('/export/starexec/sandbox/tmp/tmp.1PsZXpel3U/Vampire---4.8_21479',prove_singleton_in_unordered_pair3_2) ).

fof(f170,plain,
    ~ member(x,unordered_pair(x,x)),
    inference(forward_demodulation,[],[f169,f134]) ).

fof(f134,plain,
    unordered_pair(y,z) = unordered_pair(x,x),
    inference(definition_unfolding,[],[f129,f12]) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox/tmp/tmp.1PsZXpel3U/Vampire---4.8_21479',singleton_set) ).

fof(f129,axiom,
    unordered_pair(y,z) = singleton(x),
    file('/export/starexec/sandbox/tmp/tmp.1PsZXpel3U/Vampire---4.8_21479',prove_singleton_in_unordered_pair3_1) ).

fof(f169,plain,
    ~ member(x,unordered_pair(y,z)),
    inference(forward_demodulation,[],[f160,f108]) ).

fof(f108,axiom,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox/tmp/tmp.1PsZXpel3U/Vampire---4.8_21479',commutativity_of_unordered_pair) ).

fof(f160,plain,
    ~ member(x,unordered_pair(z,y)),
    inference(unit_resulting_resolution,[],[f131,f132,f8]) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( X1 = X2
      | X0 = X2
      | ~ member(X2,unordered_pair(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.1PsZXpel3U/Vampire---4.8_21479',unordered_pair_member) ).

fof(f132,axiom,
    z != x,
    file('/export/starexec/sandbox/tmp/tmp.1PsZXpel3U/Vampire---4.8_21479',prove_singleton_in_unordered_pair3_4) ).

fof(f131,axiom,
    y != x,
    file('/export/starexec/sandbox/tmp/tmp.1PsZXpel3U/Vampire---4.8_21479',prove_singleton_in_unordered_pair3_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SET085-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.12  % 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
% 0.11/0.32  % Computer : n032.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 17:21:36 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.11/0.33  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.1PsZXpel3U/Vampire---4.8_21479
% 0.60/0.82  % (21593)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)
% 0.60/0.82  % (21588)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)
% 0.60/0.82  % (21590)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.82  % (21591)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)
% 0.60/0.82  % (21592)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)
% 0.60/0.82  % (21589)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)
% 0.60/0.82  % (21595)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)
% 0.60/0.82  % (21594)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)
% 0.60/0.82  % (21591)First to succeed.
% 0.60/0.82  % (21591)Refutation found. Thanks to Tanya!
% 0.60/0.82  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.82  % (21591)------------------------------
% 0.60/0.82  % (21591)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (21591)Termination reason: Refutation
% 0.60/0.82  
% 0.60/0.82  % (21591)Memory used [KB]: 1093
% 0.60/0.82  % (21591)Time elapsed: 0.005 s
% 0.60/0.82  % (21591)Instructions burned: 5 (million)
% 0.60/0.82  % (21591)------------------------------
% 0.60/0.82  % (21591)------------------------------
% 0.60/0.82  % (21587)Success in time 0.489 s
% 0.60/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------