TSTP Solution File: FLD030-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : FLD030-2 : 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 05:06:42 EDT 2024

% Result   : Unsatisfiable 0.54s 0.79s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   7 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   22 (  14   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f62,plain,
    $false,
    inference(subsumption_resolution,[],[f61,f33]) ).

fof(f33,axiom,
    equalish(a,d),
    file('/export/starexec/sandbox2/tmp/tmp.lYspdSMECF/Vampire---4.8_11035',a_equals_d_6) ).

fof(f61,plain,
    ~ equalish(a,d),
    inference(subsumption_resolution,[],[f58,f29]) ).

fof(f29,axiom,
    defined(b),
    file('/export/starexec/sandbox2/tmp/tmp.lYspdSMECF/Vampire---4.8_11035',b_is_defined) ).

fof(f58,plain,
    ( ~ defined(b)
    | ~ equalish(a,d) ),
    inference(resolution,[],[f54,f25]) ).

fof(f25,axiom,
    ! [X2,X0,X1] :
      ( equalish(multiply(X0,X2),multiply(X1,X2))
      | ~ defined(X2)
      | ~ equalish(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.lYspdSMECF/Vampire---4.8_11035',compatibility_of_equality_and_multiplication) ).

fof(f54,plain,
    ~ equalish(multiply(a,b),multiply(d,b)),
    inference(resolution,[],[f41,f32]) ).

fof(f32,axiom,
    equalish(multiply(a,b),c),
    file('/export/starexec/sandbox2/tmp/tmp.lYspdSMECF/Vampire---4.8_11035',multiply_equals_c_5) ).

fof(f41,plain,
    ! [X0] :
      ( ~ equalish(X0,c)
      | ~ equalish(X0,multiply(d,b)) ),
    inference(resolution,[],[f37,f22]) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( equalish(X0,X1)
      | ~ equalish(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.lYspdSMECF/Vampire---4.8_11035',symmetry_of_equality) ).

fof(f37,plain,
    ! [X0] :
      ( ~ equalish(multiply(d,b),X0)
      | ~ equalish(X0,c) ),
    inference(resolution,[],[f23,f34]) ).

fof(f34,axiom,
    ~ equalish(multiply(d,b),c),
    file('/export/starexec/sandbox2/tmp/tmp.lYspdSMECF/Vampire---4.8_11035',multiply_not_equal_to_c_7) ).

fof(f23,axiom,
    ! [X2,X0,X1] :
      ( equalish(X0,X2)
      | ~ equalish(X0,X1)
      | ~ equalish(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.lYspdSMECF/Vampire---4.8_11035',transitivity_of_equality) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : FLD030-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.14  % 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
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 19:49:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.13/0.35  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.lYspdSMECF/Vampire---4.8_11035
% 0.54/0.79  % (11145)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.54/0.79  % (11150)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)
% 0.54/0.79  % (11147)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)
% 0.54/0.79  % (11149)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)
% 0.54/0.79  % (11146)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)
% 0.54/0.79  % (11145)First to succeed.
% 0.54/0.79  % (11145)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11142"
% 0.54/0.79  % (11150)Also succeeded, but the first one will report.
% 0.54/0.79  % (11143)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)
% 0.54/0.79  % (11144)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)
% 0.54/0.79  % (11145)Refutation found. Thanks to Tanya!
% 0.54/0.79  % SZS status Unsatisfiable for Vampire---4
% 0.54/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.79  % (11145)------------------------------
% 0.54/0.79  % (11145)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.79  % (11145)Termination reason: Refutation
% 0.54/0.79  
% 0.54/0.79  % (11145)Memory used [KB]: 991
% 0.54/0.79  % (11145)Time elapsed: 0.004 s
% 0.54/0.79  % (11145)Instructions burned: 3 (million)
% 0.54/0.79  % (11142)Success in time 0.424 s
% 0.54/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------