TSTP Solution File: SET053-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET053-6 : TPTP v8.1.2. 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 : n003.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 09:03:25 EDT 2024

% Result   : Unsatisfiable 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   10 (   6 unt;   1 typ;   0 def)
%            Number of atoms       :   29 (   0 equ)
%            Maximal formula atoms :    3 (   3 avg)
%            Number of connectives :   11 (   7   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   16 (  16 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   11 (  10 usr;   6 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   11 (  10   !;   0   ?;  11   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_10,type,
    sQ0_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f112,plain,
    $false,
    inference(subsumption_resolution,[],[f104,f101]) ).

tff(f101,plain,
    ! [X0: $i] : ~ member(v,X0),
    inference(subsumption_resolution,[],[f99,f4]) ).

tff(f4,axiom,
    ! [X0: $i] : subclass(X0,universal_class),
    file('/export/starexec/sandbox2/tmp/tmp.CmMzG2vmq8/Vampire---4.8_11055',class_elements_are_sets) ).

tff(f99,plain,
    ! [X0: $i] :
      ( ~ member(v,X0)
      | ~ subclass(X0,universal_class) ),
    inference(resolution,[],[f1,f93]) ).

tff(f93,axiom,
    ~ member(v,universal_class),
    file('/export/starexec/sandbox2/tmp/tmp.CmMzG2vmq8/Vampire---4.8_11055',prove_corollary_2_to_cartesian_product_2) ).

tff(f1,axiom,
    ! [X2: $i,X0: $i,X1: $i] :
      ( member(X2,X1)
      | ~ member(X2,X0)
      | ~ subclass(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.CmMzG2vmq8/Vampire---4.8_11055',subclass_members) ).

tff(f104,plain,
    member(v,y),
    inference(resolution,[],[f15,f92]) ).

tff(f92,axiom,
    member(ordered_pair(u,v),cross_product(x,y)),
    file('/export/starexec/sandbox2/tmp/tmp.CmMzG2vmq8/Vampire---4.8_11055',prove_corollary_2_to_cartesian_product_1) ).

tff(f15,axiom,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
      | member(X3,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.CmMzG2vmq8/Vampire---4.8_11055',cartesian_product2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SET053-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.14  % 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
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 16:21:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.35  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/tmp/tmp.CmMzG2vmq8/Vampire---4.8_11055
% 0.55/0.74  % (11455)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)
% 0.55/0.74  % (11455)Refutation not found, incomplete strategy% (11455)------------------------------
% 0.55/0.74  % (11455)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (11455)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (11455)Memory used [KB]: 1067
% 0.55/0.74  % (11455)Time elapsed: 0.002 s
% 0.55/0.74  % (11455)Instructions burned: 2 (million)
% 0.55/0.74  % (11448)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)
% 0.55/0.74  % (11447)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)
% 0.55/0.74  % (11449)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74  % (11455)------------------------------
% 0.55/0.74  % (11455)------------------------------
% 0.55/0.74  % (11450)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)
% 0.55/0.74  % (11451)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)
% 0.55/0.74  % (11452)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)
% 0.55/0.74  % (11454)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)
% 0.55/0.75  % (11452)Refutation not found, incomplete strategy% (11452)------------------------------
% 0.55/0.75  % (11452)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (11449)Refutation not found, incomplete strategy% (11449)------------------------------
% 0.55/0.75  % (11449)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (11449)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (11449)Memory used [KB]: 1068
% 0.55/0.75  % (11449)Time elapsed: 0.002 s
% 0.55/0.75  % (11449)Instructions burned: 2 (million)
% 0.55/0.75  % (11452)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (11452)Memory used [KB]: 1067
% 0.55/0.75  % (11452)Time elapsed: 0.002 s
% 0.55/0.75  % (11452)Instructions burned: 2 (million)
% 0.55/0.75  % (11449)------------------------------
% 0.55/0.75  % (11449)------------------------------
% 0.55/0.75  % (11452)------------------------------
% 0.55/0.75  % (11452)------------------------------
% 0.55/0.75  % (11447)First to succeed.
% 0.55/0.75  % (11454)Also succeeded, but the first one will report.
% 0.55/0.75  % (11447)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11279"
% 0.55/0.75  % (11458)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.55/0.75  % (11451)Also succeeded, but the first one will report.
% 0.55/0.75  % (11447)Refutation found. Thanks to Tanya!
% 0.55/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.55/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75  % (11447)------------------------------
% 0.55/0.75  % (11447)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (11447)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (11447)Memory used [KB]: 1080
% 0.55/0.75  % (11447)Time elapsed: 0.004 s
% 0.55/0.75  % (11447)Instructions burned: 3 (million)
% 0.55/0.75  % (11279)Success in time 0.392 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------