TSTP Solution File: FLD070-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : FLD070-1 : 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 : 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 : Sun May  5 05:07:09 EDT 2024

% Result   : Unsatisfiable 0.57s 0.80s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (   8 unt;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   30 (  18   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f138,plain,
    $false,
    inference(subsumption_resolution,[],[f134,f29]) ).

fof(f29,axiom,
    defined(b),
    file('/export/starexec/sandbox2/tmp/tmp.LMsDDNr18f/Vampire---4.8_18434',b_is_defined) ).

fof(f134,plain,
    ~ defined(b),
    inference(resolution,[],[f113,f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( equalish(add(additive_identity,X0),X0)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.LMsDDNr18f/Vampire---4.8_18434',existence_of_identity_addition) ).

fof(f113,plain,
    ~ equalish(add(additive_identity,b),b),
    inference(resolution,[],[f86,f31]) ).

fof(f31,axiom,
    less_or_equal(additive_identity,b),
    file('/export/starexec/sandbox2/tmp/tmp.LMsDDNr18f/Vampire---4.8_18434',less_or_equal_4) ).

fof(f86,plain,
    ! [X0] :
      ( ~ less_or_equal(additive_identity,X0)
      | ~ equalish(add(additive_identity,b),X0) ),
    inference(resolution,[],[f73,f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ~ less_or_equal(X0,add(a,b))
      | ~ equalish(X0,X1)
      | ~ less_or_equal(additive_identity,X1) ),
    inference(resolution,[],[f26,f33]) ).

fof(f33,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,add(a,b))
      | ~ less_or_equal(additive_identity,X0) ),
    inference(resolution,[],[f17,f32]) ).

fof(f32,axiom,
    ~ less_or_equal(additive_identity,add(a,b)),
    file('/export/starexec/sandbox2/tmp/tmp.LMsDDNr18f/Vampire---4.8_18434',not_less_or_equal_5) ).

fof(f17,axiom,
    ! [X2,X0,X1] :
      ( less_or_equal(X0,X2)
      | ~ less_or_equal(X0,X1)
      | ~ less_or_equal(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.LMsDDNr18f/Vampire---4.8_18434',transitivity_of_order_relation) ).

fof(f26,axiom,
    ! [X2,X0,X1] :
      ( less_or_equal(X1,X2)
      | ~ less_or_equal(X0,X2)
      | ~ equalish(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.LMsDDNr18f/Vampire---4.8_18434',compatibility_of_equality_and_order_relation) ).

fof(f73,plain,
    less_or_equal(add(additive_identity,b),add(a,b)),
    inference(resolution,[],[f52,f30]) ).

fof(f30,axiom,
    less_or_equal(additive_identity,a),
    file('/export/starexec/sandbox2/tmp/tmp.LMsDDNr18f/Vampire---4.8_18434',less_or_equal_3) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ less_or_equal(X0,X1)
      | less_or_equal(add(X0,b),add(X1,b)) ),
    inference(resolution,[],[f19,f29]) ).

fof(f19,axiom,
    ! [X2,X0,X1] :
      ( ~ defined(X2)
      | ~ less_or_equal(X0,X1)
      | less_or_equal(add(X0,X2),add(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.LMsDDNr18f/Vampire---4.8_18434',compatibility_of_order_relation_and_addition) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : FLD070-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.12  % 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
% 0.11/0.33  % Computer : n021.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Fri May  3 19:49:08 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.11/0.33  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.LMsDDNr18f/Vampire---4.8_18434
% 0.57/0.80  % (18548)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.57/0.80  % (18547)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)
% 0.57/0.80  % (18546)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)
% 0.57/0.80  % (18549)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)
% 0.57/0.80  % (18550)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)
% 0.57/0.80  % (18551)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)
% 0.57/0.80  % (18552)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)
% 0.57/0.80  % (18553)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)
% 0.57/0.80  % (18548)First to succeed.
% 0.57/0.80  % (18548)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18544"
% 0.57/0.80  % (18546)Also succeeded, but the first one will report.
% 0.57/0.80  % (18548)Refutation found. Thanks to Tanya!
% 0.57/0.80  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.80  % (18548)------------------------------
% 0.57/0.80  % (18548)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.80  % (18548)Termination reason: Refutation
% 0.57/0.80  
% 0.57/0.80  % (18548)Memory used [KB]: 1077
% 0.57/0.80  % (18548)Time elapsed: 0.007 s
% 0.57/0.80  % (18548)Instructions burned: 9 (million)
% 0.57/0.80  % (18544)Success in time 0.462 s
% 0.57/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------