TSTP Solution File: HEN008-4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : HEN008-4 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n019.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 02:33:27 EDT 2024

% Result   : Unsatisfiable 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   14 (  11 unt;   0 def)
%            Number of atoms       :   18 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   11 (   7   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   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   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f213,plain,
    $false,
    inference(subsumption_resolution,[],[f212,f50]) ).

fof(f50,plain,
    ! [X0] : less_equal(divide(divide(a,X0),divide(b,X0)),zero),
    inference(forward_demodulation,[],[f44,f9]) ).

fof(f9,axiom,
    ! [X0] : zero = divide(zero,X0),
    file('/export/starexec/sandbox/tmp/tmp.YEu1hmpMvA/Vampire---4.8_26999',zero_divide_anything_is_zero) ).

fof(f44,plain,
    ! [X0] : less_equal(divide(divide(a,X0),divide(b,X0)),divide(zero,X0)),
    inference(superposition,[],[f4,f17]) ).

fof(f17,plain,
    zero = divide(a,b),
    inference(unit_resulting_resolution,[],[f15,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ less_equal(X0,X1)
      | divide(X0,X1) = zero ),
    file('/export/starexec/sandbox/tmp/tmp.YEu1hmpMvA/Vampire---4.8_26999',quotient_less_equal1) ).

fof(f15,axiom,
    less_equal(a,b),
    file('/export/starexec/sandbox/tmp/tmp.YEu1hmpMvA/Vampire---4.8_26999',a_LE_b) ).

fof(f4,axiom,
    ! [X2,X0,X1] : less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
    file('/export/starexec/sandbox/tmp/tmp.YEu1hmpMvA/Vampire---4.8_26999',quotient_property) ).

fof(f212,plain,
    ~ less_equal(divide(divide(a,c),divide(b,c)),zero),
    inference(unit_resulting_resolution,[],[f5,f80,f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ less_equal(X0,X1)
      | ~ less_equal(X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.YEu1hmpMvA/Vampire---4.8_26999',less_equal_and_equal) ).

fof(f80,plain,
    zero != divide(divide(a,c),divide(b,c)),
    inference(unit_resulting_resolution,[],[f16,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( less_equal(X0,X1)
      | divide(X0,X1) != zero ),
    file('/export/starexec/sandbox/tmp/tmp.YEu1hmpMvA/Vampire---4.8_26999',quotient_less_equal2) ).

fof(f16,axiom,
    ~ less_equal(divide(a,c),divide(b,c)),
    file('/export/starexec/sandbox/tmp/tmp.YEu1hmpMvA/Vampire---4.8_26999',prove_a_divide_c_LE_b_divide_c) ).

fof(f5,axiom,
    ! [X0] : less_equal(zero,X0),
    file('/export/starexec/sandbox/tmp/tmp.YEu1hmpMvA/Vampire---4.8_26999',zero_is_smallest) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : HEN008-4 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.15  % 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 : n019.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 16:31:29 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_HRN 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.YEu1hmpMvA/Vampire---4.8_26999
% 0.56/0.74  % (27248)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)
% 0.56/0.74  % (27242)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)
% 0.56/0.74  % (27244)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74  % (27243)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)
% 0.56/0.74  % (27245)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)
% 0.56/0.74  % (27246)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)
% 0.56/0.74  % (27247)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)
% 0.56/0.75  % (27248)First to succeed.
% 0.56/0.75  % (27248)Refutation found. Thanks to Tanya!
% 0.56/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.56/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75  % (27248)------------------------------
% 0.56/0.75  % (27248)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (27248)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (27248)Memory used [KB]: 1068
% 0.56/0.75  % (27248)Time elapsed: 0.004 s
% 0.56/0.75  % (27248)Instructions burned: 9 (million)
% 0.56/0.75  % (27248)------------------------------
% 0.56/0.75  % (27248)------------------------------
% 0.56/0.75  % (27238)Success in time 0.373 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------