TSTP Solution File: SET078-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET078-6 : TPTP v8.2.0. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n025.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 : Tue May 21 03:08:34 EDT 2024

% Result   : Unsatisfiable 0.52s 0.75s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   6 unt;   0 def)
%            Number of atoms       :    8 (   1 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    5 (   4   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f102,plain,
    $false,
    inference(subsumption_resolution,[],[f101,f11]) ).

fof(f11,axiom,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).

fof(f101,plain,
    ~ member(unordered_pair(y,y),universal_class),
    inference(resolution,[],[f94,f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( member(X1,unordered_pair(X0,X1))
      | ~ member(X1,universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair3) ).

fof(f94,plain,
    ~ member(unordered_pair(y,y),unordered_pair(x,unordered_pair(y,y))),
    inference(definition_unfolding,[],[f92,f12,f12]) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).

fof(f92,axiom,
    ~ member(singleton(y),unordered_pair(x,singleton(y))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_singletons_are_sets_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET078-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.07/0.14  % 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
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon May 20 12:52:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.35  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/benchmark/theBenchmark.p
% 0.52/0.74  % (4176)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.52/0.74  % (4178)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.52/0.74  % (4177)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 theBenchmark for (2996ds/83Mi)
% 0.52/0.74  % (4174)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.52/0.75  % (4171)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 theBenchmark for (2996ds/34Mi)
% 0.52/0.75  % (4173)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.52/0.75  % (4172)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 theBenchmark for (2996ds/51Mi)
% 0.52/0.75  % (4176)Also succeeded, but the first one will report.
% 0.52/0.75  % (4174)Also succeeded, but the first one will report.
% 0.52/0.75  % (4178)First to succeed.
% 0.52/0.75  % (4178)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4170"
% 0.52/0.75  % (4171)Also succeeded, but the first one will report.
% 0.52/0.75  % (4178)Refutation found. Thanks to Tanya!
% 0.52/0.75  % SZS status Unsatisfiable for theBenchmark
% 0.52/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 0.52/0.75  % (4178)------------------------------
% 0.52/0.75  % (4178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.75  % (4178)Termination reason: Refutation
% 0.52/0.75  
% 0.52/0.75  % (4178)Memory used [KB]: 1072
% 0.52/0.75  % (4178)Time elapsed: 0.003 s
% 0.52/0.75  % (4178)Instructions burned: 2 (million)
% 0.52/0.75  % (4170)Success in time 0.381 s
% 0.52/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------