TSTP Solution File: SET231-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET231-6 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n029.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 09:04:58 EDT 2024

% Result   : Unsatisfiable 0.60s 0.78s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   5 unt;   0 def)
%            Number of atoms       :   11 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f121,plain,
    $false,
    inference(subsumption_resolution,[],[f119,f113]) ).

fof(f113,axiom,
    ~ subclass(cross_product(x,y),z),
    file('/export/starexec/sandbox/tmp/tmp.uh2AqGKWtt/Vampire---4.8_19740',prove_cross_product_property6_1) ).

fof(f119,plain,
    subclass(cross_product(x,y),z),
    inference(resolution,[],[f118,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.uh2AqGKWtt/Vampire---4.8_19740',not_subclass_members1) ).

fof(f118,plain,
    ! [X0,X1] : ~ member(not_subclass_element(cross_product(x,y),z),cross_product(X0,X1)),
    inference(trivial_inequality_removal,[],[f117]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( not_subclass_element(cross_product(x,y),z) != not_subclass_element(cross_product(x,y),z)
      | ~ member(not_subclass_element(cross_product(x,y),z),cross_product(X0,X1)) ),
    inference(superposition,[],[f114,f17]) ).

fof(f17,axiom,
    ! [X0,X1,X4] :
      ( ordered_pair(first(X4),second(X4)) = X4
      | ~ member(X4,cross_product(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.uh2AqGKWtt/Vampire---4.8_19740',cartesian_product4) ).

fof(f114,axiom,
    not_subclass_element(cross_product(x,y),z) != ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z))),
    file('/export/starexec/sandbox/tmp/tmp.uh2AqGKWtt/Vampire---4.8_19740',prove_cross_product_property6_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem    : SET231-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.12  % 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
% 0.12/0.32  % Computer : n029.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Fri May  3 16:32:53 EDT 2024
% 0.12/0.32  % CPUTime    : 
% 0.12/0.32  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.12/0.32  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/tmp/tmp.uh2AqGKWtt/Vampire---4.8_19740
% 0.60/0.78  % (19851)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.78  % (19849)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 (2995ds/51Mi)
% 0.60/0.78  % (19850)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78  % (19848)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 (2995ds/34Mi)
% 0.60/0.78  % (19852)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 (2995ds/34Mi)
% 0.60/0.78  % (19853)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.78  % (19854)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 (2995ds/83Mi)
% 0.60/0.78  % (19855)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 (2995ds/56Mi)
% 0.60/0.78  % (19853)First to succeed.
% 0.60/0.78  % (19855)Refutation not found, incomplete strategy% (19855)------------------------------
% 0.60/0.78  % (19855)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (19855)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (19855)Memory used [KB]: 1075
% 0.60/0.78  % (19855)Time elapsed: 0.003 s
% 0.60/0.78  % (19853)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19847"
% 0.60/0.78  % (19855)Instructions burned: 3 (million)
% 0.60/0.78  % (19848)Also succeeded, but the first one will report.
% 0.60/0.78  % (19851)Also succeeded, but the first one will report.
% 0.60/0.78  % (19854)Also succeeded, but the first one will report.
% 0.60/0.78  % (19855)------------------------------
% 0.60/0.78  % (19855)------------------------------
% 0.60/0.78  % (19853)Refutation found. Thanks to Tanya!
% 0.60/0.78  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.78  % (19853)------------------------------
% 0.60/0.78  % (19853)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (19853)Termination reason: Refutation
% 0.60/0.78  
% 0.60/0.78  % (19853)Memory used [KB]: 1082
% 0.60/0.78  % (19853)Time elapsed: 0.003 s
% 0.60/0.78  % (19853)Instructions burned: 3 (million)
% 0.60/0.78  % (19847)Success in time 0.456 s
% 0.60/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------