TSTP Solution File: SET240-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET240-6 : 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 : 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 : Tue May 21 03:09:53 EDT 2024

% Result   : Unsatisfiable 0.50s 0.67s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   7 unt;   0 def)
%            Number of atoms       :   11 (   1 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    5 (   3   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f128,plain,
    $false,
    inference(subsumption_resolution,[],[f126,f114]) ).

fof(f114,axiom,
    ~ member(u,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restriction_alternate_defn3_2) ).

fof(f126,plain,
    member(u,x),
    inference(resolution,[],[f124,f14]) ).

fof(f14,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
      | member(X2,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product1) ).

fof(f124,plain,
    member(ordered_pair(u,v),cross_product(x,y)),
    inference(resolution,[],[f115,f21]) ).

fof(f21,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).

fof(f115,plain,
    member(ordered_pair(u,v),intersection(cross_product(x,y),xr)),
    inference(definition_unfolding,[],[f113,f29]) ).

fof(f29,axiom,
    ! [X0,X1,X5] : restrict(X5,X0,X1) = intersection(cross_product(X0,X1),X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction2) ).

fof(f113,axiom,
    member(ordered_pair(u,v),restrict(xr,x,y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restriction_alternate_defn3_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SET240-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.05/0.11  % 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
% 0.10/0.30  % Computer : n021.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon May 20 12:20:53 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.10/0.30  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
% 0.50/0.66  % (21068)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)
% 0.50/0.66  % (21075)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)
% 0.50/0.66  % (21070)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.50/0.66  % (21071)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)
% 0.50/0.66  % (21073)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)
% 0.50/0.66  % (21069)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)
% 0.50/0.66  % (21072)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)
% 0.50/0.66  % (21068)Refutation not found, incomplete strategy% (21068)------------------------------
% 0.50/0.66  % (21068)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.66  % (21068)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.66  
% 0.50/0.66  % (21068)Memory used [KB]: 1106
% 0.50/0.66  % (21068)Time elapsed: 0.002 s
% 0.50/0.66  % (21068)Instructions burned: 3 (million)
% 0.50/0.66  % (21068)------------------------------
% 0.50/0.66  % (21068)------------------------------
% 0.50/0.66  % (21075)First to succeed.
% 0.50/0.67  % (21075)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21067"
% 0.50/0.67  % (21073)Also succeeded, but the first one will report.
% 0.50/0.67  % (21070)Also succeeded, but the first one will report.
% 0.50/0.67  % (21075)Refutation found. Thanks to Tanya!
% 0.50/0.67  % SZS status Unsatisfiable for theBenchmark
% 0.50/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 0.50/0.67  % (21075)------------------------------
% 0.50/0.67  % (21075)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.67  % (21075)Termination reason: Refutation
% 0.50/0.67  
% 0.50/0.67  % (21075)Memory used [KB]: 1113
% 0.50/0.67  % (21075)Time elapsed: 0.003 s
% 0.50/0.67  % (21075)Instructions burned: 3 (million)
% 0.50/0.67  % (21067)Success in time 0.355 s
% 0.50/0.67  % Vampire---4.8 exiting
%------------------------------------------------------------------------------