TSTP Solution File: SET024-4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET024-4 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n021.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 09:03:01 EDT 2024

% Result   : Unsatisfiable 0.58s 0.76s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   11 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f153,plain,
    $false,
    inference(resolution,[],[f151,f145]) ).

fof(f145,plain,
    ~ member(a,non_ordered_pair(a,a)),
    inference(definition_unfolding,[],[f143,f9]) ).

fof(f9,axiom,
    ! [X0] : singleton_set(X0) = non_ordered_pair(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.h1VpWze6jH/Vampire---4.8_26632',singleton_set) ).

fof(f143,axiom,
    ~ member(a,singleton_set(a)),
    file('/export/starexec/sandbox/tmp/tmp.h1VpWze6jH/Vampire---4.8_26632',prove_membership_of_singleton_set) ).

fof(f151,plain,
    ! [X0] : member(a,non_ordered_pair(a,X0)),
    inference(resolution,[],[f142,f147]) ).

fof(f147,plain,
    ! [X2,X1] :
      ( ~ little_set(X2)
      | member(X2,non_ordered_pair(X2,X1)) ),
    inference(equality_resolution,[],[f6]) ).

fof(f6,axiom,
    ! [X2,X0,X1] :
      ( X0 != X2
      | ~ little_set(X2)
      | member(X2,non_ordered_pair(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.h1VpWze6jH/Vampire---4.8_26632',non_ordered_pair2) ).

fof(f142,axiom,
    little_set(a),
    file('/export/starexec/sandbox/tmp/tmp.h1VpWze6jH/Vampire---4.8_26632',a_little_set) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET024-4 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15  % 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
% 0.14/0.37  % Computer : n021.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Fri May  3 16:22:53 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.14/0.37  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.37  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.h1VpWze6jH/Vampire---4.8_26632
% 0.58/0.76  % (27082)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)
% 0.58/0.76  % (27082)First to succeed.
% 0.58/0.76  % (27075)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)
% 0.58/0.76  % (27082)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26896"
% 0.58/0.76  % (27078)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)
% 0.58/0.76  % (27079)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)
% 0.58/0.76  % (27076)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)
% 0.58/0.76  % (27077)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.76  % (27080)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)
% 0.58/0.76  % (27081)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)
% 0.58/0.76  % (27082)Refutation found. Thanks to Tanya!
% 0.58/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.58/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.76  % (27082)------------------------------
% 0.58/0.76  % (27082)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (27082)Termination reason: Refutation
% 0.58/0.76  
% 0.58/0.76  % (27082)Memory used [KB]: 1128
% 0.58/0.76  % (27082)Time elapsed: 0.002 s
% 0.58/0.76  % (27082)Instructions burned: 2 (million)
% 0.58/0.76  % (26896)Success in time 0.386 s
% 0.58/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------