TSTP Solution File: HEN006-4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : HEN006-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n015.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 02:33:24 EDT 2024

% Result   : Unsatisfiable 0.60s 0.80s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   14 (  10 unt;   0 def)
%            Number of atoms       :   20 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   9   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 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(f253,plain,
    $false,
    inference(unit_resulting_resolution,[],[f67,f5,f114,f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ less_equal(X0,X1)
      | ~ less_equal(X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.ONSL99mF2W/Vampire---4.8_11960',less_equal_and_equal) ).

fof(f114,plain,
    less_equal(divide(divide(a,d),divide(b,d)),zero),
    inference(superposition,[],[f4,f31]) ).

fof(f31,plain,
    zero = divide(divide(a,b),d),
    inference(unit_resulting_resolution,[],[f13,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ less_equal(X0,X1)
      | divide(X0,X1) = zero ),
    file('/export/starexec/sandbox2/tmp/tmp.ONSL99mF2W/Vampire---4.8_11960',quotient_less_equal1) ).

fof(f13,axiom,
    less_equal(divide(a,b),d),
    file('/export/starexec/sandbox2/tmp/tmp.ONSL99mF2W/Vampire---4.8_11960',a_divide_b_LE_d) ).

fof(f4,axiom,
    ! [X2,X0,X1] : less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
    file('/export/starexec/sandbox2/tmp/tmp.ONSL99mF2W/Vampire---4.8_11960',quotient_property) ).

fof(f5,axiom,
    ! [X0] : less_equal(zero,X0),
    file('/export/starexec/sandbox2/tmp/tmp.ONSL99mF2W/Vampire---4.8_11960',zero_is_smallest) ).

fof(f67,plain,
    ! [X0] : zero != divide(divide(a,d),divide(b,X0)),
    inference(unit_resulting_resolution,[],[f15,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( less_equal(X0,X1)
      | divide(X0,X1) != zero ),
    file('/export/starexec/sandbox2/tmp/tmp.ONSL99mF2W/Vampire---4.8_11960',quotient_less_equal2) ).

fof(f15,plain,
    ! [X0] : ~ less_equal(divide(a,d),divide(b,X0)),
    inference(unit_resulting_resolution,[],[f3,f14,f12]) ).

fof(f12,axiom,
    ! [X2,X0,X1] :
      ( ~ less_equal(X0,X1)
      | ~ less_equal(X1,X2)
      | less_equal(X0,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.ONSL99mF2W/Vampire---4.8_11960',transitivity_of_less_equal) ).

fof(f14,axiom,
    ~ less_equal(divide(a,d),b),
    file('/export/starexec/sandbox2/tmp/tmp.ONSL99mF2W/Vampire---4.8_11960',prove_a_divide_d_LE_b) ).

fof(f3,axiom,
    ! [X0,X1] : less_equal(divide(X0,X1),X0),
    file('/export/starexec/sandbox2/tmp/tmp.ONSL99mF2W/Vampire---4.8_11960',quotient_smaller_than_numerator) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : HEN006-4 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.11  % 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
% 0.10/0.31  % Computer : n015.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Apr 30 16:52:18 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.10/0.31  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.ONSL99mF2W/Vampire---4.8_11960
% 0.60/0.79  % (12074)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)
% 0.60/0.79  % (12071)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)
% 0.60/0.79  % (12076)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)
% 0.60/0.79  % (12073)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.79  % (12075)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)
% 0.60/0.79  % (12072)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)
% 0.60/0.79  % (12077)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)
% 0.60/0.80  % (12078)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)
% 0.60/0.80  % (12077)First to succeed.
% 0.60/0.80  % (12077)Refutation found. Thanks to Tanya!
% 0.60/0.80  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80  % (12077)------------------------------
% 0.60/0.80  % (12077)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (12077)Termination reason: Refutation
% 0.60/0.80  
% 0.60/0.80  % (12077)Memory used [KB]: 1077
% 0.60/0.80  % (12077)Time elapsed: 0.008 s
% 0.60/0.80  % (12077)Instructions burned: 11 (million)
% 0.60/0.80  % (12077)------------------------------
% 0.60/0.80  % (12077)------------------------------
% 0.60/0.80  % (12067)Success in time 0.486 s
% 0.60/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------