TSTP Solution File: HEN005-4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : HEN005-4 : 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 : 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 : Sun May  5 06:11:37 EDT 2024

% Result   : Unsatisfiable 0.64s 0.77s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   19 (  16 unt;   0 def)
%            Number of atoms       :   23 (   8 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   11 (   7   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 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   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f110,plain,
    $false,
    inference(subsumption_resolution,[],[f109,f47]) ).

fof(f47,plain,
    ~ less_equal(divide(a,c),zero),
    inference(unit_resulting_resolution,[],[f5,f15,f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ less_equal(X0,X1)
      | ~ less_equal(X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.qY8Xx4hVGq/Vampire---4.8_11015',less_equal_and_equal) ).

fof(f15,plain,
    zero != divide(a,c),
    inference(unit_resulting_resolution,[],[f14,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( less_equal(X0,X1)
      | divide(X0,X1) != zero ),
    file('/export/starexec/sandbox/tmp/tmp.qY8Xx4hVGq/Vampire---4.8_11015',quotient_less_equal2) ).

fof(f14,axiom,
    ~ less_equal(a,c),
    file('/export/starexec/sandbox/tmp/tmp.qY8Xx4hVGq/Vampire---4.8_11015',prove_a_LE_c) ).

fof(f5,axiom,
    ! [X0] : less_equal(zero,X0),
    file('/export/starexec/sandbox/tmp/tmp.qY8Xx4hVGq/Vampire---4.8_11015',zero_is_smallest) ).

fof(f109,plain,
    less_equal(divide(a,c),zero),
    inference(forward_demodulation,[],[f102,f11]) ).

fof(f11,axiom,
    ! [X0] : divide(X0,zero) = X0,
    file('/export/starexec/sandbox/tmp/tmp.qY8Xx4hVGq/Vampire---4.8_11015',x_divide_zero_is_x) ).

fof(f102,plain,
    less_equal(divide(divide(a,c),zero),zero),
    inference(superposition,[],[f53,f29]) ).

fof(f29,plain,
    zero = divide(b,c),
    inference(unit_resulting_resolution,[],[f13,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ less_equal(X0,X1)
      | divide(X0,X1) = zero ),
    file('/export/starexec/sandbox/tmp/tmp.qY8Xx4hVGq/Vampire---4.8_11015',quotient_less_equal1) ).

fof(f13,axiom,
    less_equal(b,c),
    file('/export/starexec/sandbox/tmp/tmp.qY8Xx4hVGq/Vampire---4.8_11015',b_LE_c) ).

fof(f53,plain,
    ! [X0] : less_equal(divide(divide(a,X0),divide(b,X0)),zero),
    inference(forward_demodulation,[],[f50,f9]) ).

fof(f9,axiom,
    ! [X0] : zero = divide(zero,X0),
    file('/export/starexec/sandbox/tmp/tmp.qY8Xx4hVGq/Vampire---4.8_11015',zero_divide_anything_is_zero) ).

fof(f50,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,[],[f12,f1]) ).

fof(f12,axiom,
    less_equal(a,b),
    file('/export/starexec/sandbox/tmp/tmp.qY8Xx4hVGq/Vampire---4.8_11015',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.qY8Xx4hVGq/Vampire---4.8_11015',quotient_property) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : HEN005-4 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15  % 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
% 0.16/0.36  % Computer : n015.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 13:09:51 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.16/0.37  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.qY8Xx4hVGq/Vampire---4.8_11015
% 0.57/0.76  % (11359)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)
% 0.57/0.76  % (11359)Refutation not found, incomplete strategy% (11359)------------------------------
% 0.57/0.76  % (11359)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (11359)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (11359)Memory used [KB]: 957
% 0.57/0.76  % (11359)Time elapsed: 0.001 s
% 0.57/0.76  % (11359)Instructions burned: 2 (million)
% 0.57/0.76  % (11352)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)
% 0.57/0.76  % (11354)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76  % (11353)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)
% 0.57/0.76  % (11356)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)
% 0.57/0.76  % (11359)------------------------------
% 0.57/0.76  % (11359)------------------------------
% 0.57/0.76  % (11357)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)
% 0.57/0.76  % (11355)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)
% 0.57/0.76  % (11358)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)
% 0.57/0.76  % (11354)Refutation not found, incomplete strategy% (11354)------------------------------
% 0.57/0.76  % (11354)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (11354)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (11354)Memory used [KB]: 956
% 0.57/0.76  % (11354)Time elapsed: 0.002 s
% 0.57/0.76  % (11354)Instructions burned: 2 (million)
% 0.57/0.76  % (11357)Refutation not found, incomplete strategy% (11357)------------------------------
% 0.57/0.76  % (11357)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (11357)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (11357)Memory used [KB]: 957
% 0.57/0.76  % (11357)Time elapsed: 0.002 s
% 0.57/0.76  % (11357)Instructions burned: 2 (million)
% 0.57/0.76  % (11355)Refutation not found, incomplete strategy% (11355)------------------------------
% 0.57/0.76  % (11355)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (11355)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (11355)Memory used [KB]: 957
% 0.57/0.76  % (11355)Time elapsed: 0.002 s
% 0.57/0.76  % (11355)Instructions burned: 2 (million)
% 0.57/0.76  % (11354)------------------------------
% 0.57/0.76  % (11354)------------------------------
% 0.57/0.76  % (11356)Refutation not found, incomplete strategy% (11356)------------------------------
% 0.57/0.76  % (11356)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (11356)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (11356)Memory used [KB]: 960
% 0.57/0.76  % (11356)Time elapsed: 0.002 s
% 0.57/0.76  % (11356)Instructions burned: 2 (million)
% 0.57/0.76  % (11357)------------------------------
% 0.57/0.76  % (11357)------------------------------
% 0.57/0.76  % (11355)------------------------------
% 0.57/0.76  % (11355)------------------------------
% 0.57/0.76  % (11352)Refutation not found, incomplete strategy% (11352)------------------------------
% 0.57/0.76  % (11352)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (11352)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (11352)Memory used [KB]: 989
% 0.57/0.76  % (11356)------------------------------
% 0.57/0.76  % (11356)------------------------------
% 0.57/0.76  % (11352)Time elapsed: 0.003 s
% 0.57/0.76  % (11352)Instructions burned: 2 (million)
% 0.57/0.76  % (11352)------------------------------
% 0.57/0.76  % (11352)------------------------------
% 0.57/0.76  % (11358)First to succeed.
% 0.57/0.77  % (11364)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.57/0.77  % (11358)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11268"
% 0.64/0.77  % (11358)Refutation found. Thanks to Tanya!
% 0.64/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.64/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.77  % (11358)------------------------------
% 0.64/0.77  % (11358)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.77  % (11358)Termination reason: Refutation
% 0.64/0.77  
% 0.64/0.77  % (11358)Memory used [KB]: 1059
% 0.64/0.77  % (11358)Time elapsed: 0.005 s
% 0.64/0.77  % (11358)Instructions burned: 5 (million)
% 0.64/0.77  % (11268)Success in time 0.389 s
% 0.64/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------