TSTP Solution File: SET113-7 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET113-7 : TPTP v8.2.0. Bugfixed v7.3.0.
% 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 : n005.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 03:09:00 EDT 2024

% Result   : Unsatisfiable 0.51s 0.69s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (   7 unt;   0 def)
%            Number of atoms       :   25 (  10 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   19 (  10   ~;   8   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f254,plain,
    $false,
    inference(avatar_sat_refutation,[],[f176,f243]) ).

fof(f243,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f242]) ).

fof(f242,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f241,f177]) ).

fof(f177,plain,
    ( ~ member(x,cross_product(universal_class,universal_class))
    | ~ spl0_1 ),
    inference(backward_demodulation,[],[f160,f170]) ).

fof(f170,plain,
    ( x = ordered_pair(first(x),second(x))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f168]) ).

fof(f168,plain,
    ( spl0_1
  <=> x = ordered_pair(first(x),second(x)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f160,axiom,
    ~ member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unique_1st_and_2nd_in_pair_of_non_sets1_1) ).

fof(f241,plain,
    ( member(x,cross_product(universal_class,universal_class))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f234,f170]) ).

fof(f234,plain,
    member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class)),
    inference(trivial_inequality_removal,[],[f233]) ).

fof(f233,plain,
    ( x != x
    | member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class)) ),
    inference(superposition,[],[f161,f154]) ).

fof(f154,axiom,
    ! [X0] :
      ( first(X0) = X0
      | member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_1st_and_2nd_2) ).

fof(f161,axiom,
    x != first(x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unique_1st_in_pair_of_non_sets) ).

fof(f176,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f166,f168]) ).

fof(f166,plain,
    x = ordered_pair(first(x),second(x)),
    inference(trivial_inequality_removal,[],[f165]) ).

fof(f165,plain,
    ( x != x
    | x = ordered_pair(first(x),second(x)) ),
    inference(superposition,[],[f161,f156]) ).

fof(f156,axiom,
    ! [X0] :
      ( first(X0) = X0
      | ordered_pair(first(X0),second(X0)) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_1st_and_2nd_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08  % Problem    : SET113-7 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.07/0.09  % 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
% 0.09/0.30  % Computer : n005.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Mon May 20 13:26:23 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.09/0.30  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.09/0.30  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/benchmark/theBenchmark.p
% 0.51/0.69  % (19115)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)
% 0.51/0.69  % (19113)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)
% 0.51/0.69  % (19114)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.51/0.69  % (19116)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)
% 0.51/0.69  % (19119)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)
% 0.51/0.69  % (19118)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)
% 0.51/0.69  % (19119)Refutation not found, incomplete strategy% (19119)------------------------------
% 0.51/0.69  % (19119)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.69  % (19119)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.69  
% 0.51/0.69  % (19119)Memory used [KB]: 1142
% 0.51/0.69  % (19119)Time elapsed: 0.003 s
% 0.51/0.69  % (19119)Instructions burned: 3 (million)
% 0.51/0.69  % (19119)------------------------------
% 0.51/0.69  % (19119)------------------------------
% 0.51/0.69  % (19112)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)
% 0.51/0.69  % (19114)First to succeed.
% 0.51/0.69  % (19118)Also succeeded, but the first one will report.
% 0.51/0.69  % (19114)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19093"
% 0.51/0.69  % (19117)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)
% 0.51/0.69  % (19115)Also succeeded, but the first one will report.
% 0.51/0.69  % (19114)Refutation found. Thanks to Tanya!
% 0.51/0.69  % SZS status Unsatisfiable for theBenchmark
% 0.51/0.69  % SZS output start Proof for theBenchmark
% See solution above
% 0.51/0.69  % (19114)------------------------------
% 0.51/0.69  % (19114)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.69  % (19114)Termination reason: Refutation
% 0.51/0.69  
% 0.51/0.69  % (19114)Memory used [KB]: 1179
% 0.51/0.69  % (19114)Time elapsed: 0.005 s
% 0.51/0.69  % (19114)Instructions burned: 6 (million)
% 0.51/0.69  % (19093)Success in time 0.373 s
% 0.51/0.69  % Vampire---4.8 exiting
%------------------------------------------------------------------------------