TSTP Solution File: SET003-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET003-1 : TPTP v8.2.0. 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 : n009.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 03:07:34 EDT 2024

% Result   : Unsatisfiable 0.46s 0.63s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   5 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   8   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f35,plain,
    $false,
    inference(subsumption_resolution,[],[f31,f14]) ).

fof(f14,axiom,
    ~ subset(a,aUa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_is_a_subset_of_aUa) ).

fof(f31,plain,
    subset(a,aUa),
    inference(resolution,[],[f27,f2]) ).

fof(f2,axiom,
    ! [X2,X1] :
      ( member(member_of_1_not_of_2(X1,X2),X1)
      | subset(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom1) ).

fof(f27,plain,
    ~ member(member_of_1_not_of_2(a,aUa),a),
    inference(resolution,[],[f24,f14]) ).

fof(f24,plain,
    ! [X0] :
      ( subset(X0,aUa)
      | ~ member(member_of_1_not_of_2(X0,aUa),a) ),
    inference(resolution,[],[f20,f13]) ).

fof(f13,axiom,
    union(a,a,aUa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_union_a_is_aUa) ).

fof(f20,plain,
    ! [X2,X3,X0,X1] :
      ( ~ union(X2,X3,X1)
      | ~ member(member_of_1_not_of_2(X0,X1),X2)
      | subset(X0,X1) ),
    inference(resolution,[],[f8,f3]) ).

fof(f3,axiom,
    ! [X2,X1] :
      ( ~ member(member_of_1_not_of_2(X1,X2),X2)
      | subset(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom2) ).

fof(f8,axiom,
    ! [X3,X0,X4,X5] :
      ( member(X0,X5)
      | ~ member(X0,X3)
      | ~ union(X3,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_set1_is_member_of_union) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08  % Problem    : SET003-1 : TPTP v8.2.0. Released v1.0.0.
% 0.04/0.09  % 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
% 0.09/0.28  % Computer : n009.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit   : 300
% 0.09/0.28  % WCLimit    : 300
% 0.09/0.28  % DateTime   : Mon May 20 11:57:08 EDT 2024
% 0.09/0.28  % CPUTime    : 
% 0.09/0.28  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.09/0.28  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
% 0.46/0.62  % (5680)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)
% 0.46/0.62  % (5682)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.46/0.62  % (5687)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)
% 0.46/0.63  % (5681)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)
% 0.46/0.63  % (5687)Refutation not found, incomplete strategy% (5687)------------------------------
% 0.46/0.63  % (5687)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.63  % (5687)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.63  
% 0.46/0.63  % (5687)Memory used [KB]: 997
% 0.46/0.63  % (5687)Time elapsed: 0.001 s
% 0.46/0.63  % (5687)Instructions burned: 2 (million)
% 0.46/0.63  % (5687)------------------------------
% 0.46/0.63  % (5687)------------------------------
% 0.46/0.63  % (5684)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 theBenchmark for (2996ds/34Mi)
% 0.46/0.63  % (5682)First to succeed.
% 0.46/0.63  % (5683)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)
% 0.46/0.63  % (5682)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5620"
% 0.46/0.63  % (5681)Also succeeded, but the first one will report.
% 0.46/0.63  % (5682)Refutation found. Thanks to Tanya!
% 0.46/0.63  % SZS status Unsatisfiable for theBenchmark
% 0.46/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 0.46/0.63  % (5682)------------------------------
% 0.46/0.63  % (5682)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.63  % (5682)Termination reason: Refutation
% 0.46/0.63  
% 0.46/0.63  % (5682)Memory used [KB]: 1010
% 0.46/0.63  % (5682)Time elapsed: 0.003 s
% 0.46/0.63  % (5682)Instructions burned: 3 (million)
% 0.46/0.63  % (5620)Success in time 0.336 s
% 0.46/0.63  % Vampire---4.8 exiting
%------------------------------------------------------------------------------