TSTP Solution File: NUM027-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM027-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 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 : n007.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 : Wed May  1 03:26:31 EDT 2024

% Result   : Unsatisfiable 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   18 (   9 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   28 (  15   ~;  13   |;   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   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f147,plain,
    $false,
    inference(subsumption_resolution,[],[f146,f68]) ).

fof(f68,plain,
    ~ equalish(b,a),
    inference(resolution,[],[f36,f13]) ).

fof(f13,axiom,
    ! [X2,X0,X1] :
      ( equalish(multiply(X0,X2),multiply(X1,X2))
      | ~ equalish(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.w22ZG6tZj0/Vampire---4.8_13373',equality_preserved_over_times) ).

fof(f36,plain,
    ~ equalish(multiply(b,c),multiply(a,c)),
    inference(resolution,[],[f20,f14]) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( ~ equalish(X0,X1)
      | ~ less(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.w22ZG6tZj0/Vampire---4.8_13373',not_less_and_equal) ).

fof(f20,axiom,
    less(multiply(b,c),multiply(a,c)),
    file('/export/starexec/sandbox/tmp/tmp.w22ZG6tZj0/Vampire---4.8_13373',b_times_c_less_than_a_times_c) ).

fof(f146,plain,
    equalish(b,a),
    inference(subsumption_resolution,[],[f142,f19]) ).

fof(f19,axiom,
    ~ less(b,a),
    file('/export/starexec/sandbox/tmp/tmp.w22ZG6tZj0/Vampire---4.8_13373',b_not_less_than_a) ).

fof(f142,plain,
    ( less(b,a)
    | equalish(b,a) ),
    inference(resolution,[],[f141,f15]) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( less(X1,X0)
      | equalish(X1,X0)
      | less(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.w22ZG6tZj0/Vampire---4.8_13373',numbers_either_less_or_equal) ).

fof(f141,plain,
    ~ less(a,b),
    inference(resolution,[],[f104,f16]) ).

fof(f16,axiom,
    ! [X0] : ~ less(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.w22ZG6tZj0/Vampire---4.8_13373',number_not_less_than_itself) ).

fof(f104,plain,
    ! [X0] :
      ( less(multiply(b,c),multiply(X0,c))
      | ~ less(a,X0) ),
    inference(subsumption_resolution,[],[f98,f21]) ).

fof(f21,axiom,
    ~ equalish(c,n0),
    file('/export/starexec/sandbox/tmp/tmp.w22ZG6tZj0/Vampire---4.8_13373',prove_c_is_0) ).

fof(f98,plain,
    ! [X0] :
      ( less(multiply(b,c),multiply(X0,c))
      | equalish(c,n0)
      | ~ less(a,X0) ),
    inference(resolution,[],[f39,f18]) ).

fof(f18,axiom,
    ! [X2,X0,X1] :
      ( less(multiply(X0,X2),multiply(X1,X2))
      | equalish(X2,n0)
      | ~ less(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.w22ZG6tZj0/Vampire---4.8_13373',multiply_lemma) ).

fof(f39,plain,
    ! [X0] :
      ( ~ less(multiply(a,c),X0)
      | less(multiply(b,c),X0) ),
    inference(resolution,[],[f20,f7]) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( less(X2,X1)
      | ~ less(X2,X0)
      | ~ less(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.w22ZG6tZj0/Vampire---4.8_13373',transitivity_of_less) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : NUM027-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.13/0.15  % 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
% 0.15/0.36  % Computer : n007.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 16:45:48 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.15/0.37  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.w22ZG6tZj0/Vampire---4.8_13373
% 0.55/0.75  % (13777)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)
% 0.55/0.75  % (13770)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)
% 0.55/0.75  % (13772)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (13771)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)
% 0.55/0.75  % (13774)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)
% 0.55/0.75  % (13775)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)
% 0.55/0.75  % (13773)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)
% 0.55/0.75  % (13776)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  % (13774)First to succeed.
% 0.55/0.75  % (13773)Also succeeded, but the first one will report.
% 0.55/0.75  % (13772)Also succeeded, but the first one will report.
% 0.55/0.75  % (13774)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  % (13774)------------------------------
% 0.55/0.75  % (13774)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (13774)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (13774)Memory used [KB]: 1069
% 0.55/0.75  % (13774)Time elapsed: 0.005 s
% 0.55/0.75  % (13774)Instructions burned: 5 (million)
% 0.55/0.75  % (13774)------------------------------
% 0.55/0.75  % (13774)------------------------------
% 0.55/0.75  % (13609)Success in time 0.375 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------