TSTP Solution File: HEN004-4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : HEN004-4 : 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 : n027.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 06:11:36 EDT 2024

% Result   : Unsatisfiable 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   21 (  15 unt;   0 def)
%            Number of atoms       :   28 (  13 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f418,plain,
    $false,
    inference(trivial_inequality_removal,[],[f417]) ).

fof(f417,plain,
    a != a,
    inference(superposition,[],[f11,f366]) ).

fof(f366,plain,
    ! [X0] : divide(X0,zero) = X0,
    inference(resolution,[],[f361,f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ~ less_equal(X0,divide(X0,X1))
      | divide(X0,X1) = X0 ),
    inference(resolution,[],[f6,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : less_equal(divide(X0,X1),X0),
    file('/export/starexec/sandbox2/tmp/tmp.EP292FHtSO/Vampire---4.8_8994',quotient_smaller_than_numerator) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ less_equal(X1,X0)
      | X0 = X1
      | ~ less_equal(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.EP292FHtSO/Vampire---4.8_8994',less_equal_and_equal) ).

fof(f361,plain,
    ! [X0] : less_equal(X0,divide(X0,zero)),
    inference(trivial_inequality_removal,[],[f341]) ).

fof(f341,plain,
    ! [X0] :
      ( zero != zero
      | less_equal(X0,divide(X0,zero)) ),
    inference(superposition,[],[f2,f320]) ).

fof(f320,plain,
    ! [X0] : zero = divide(X0,divide(X0,zero)),
    inference(resolution,[],[f312,f34]) ).

fof(f34,plain,
    ! [X0] :
      ( ~ less_equal(X0,zero)
      | zero = X0 ),
    inference(resolution,[],[f6,f5]) ).

fof(f5,axiom,
    ! [X0] : less_equal(zero,X0),
    file('/export/starexec/sandbox2/tmp/tmp.EP292FHtSO/Vampire---4.8_8994',zero_is_smallest) ).

fof(f312,plain,
    ! [X0] : less_equal(divide(X0,divide(X0,zero)),zero),
    inference(trivial_inequality_removal,[],[f298]) ).

fof(f298,plain,
    ! [X0] :
      ( zero != zero
      | less_equal(divide(X0,divide(X0,zero)),zero) ),
    inference(superposition,[],[f2,f254]) ).

fof(f254,plain,
    ! [X0] : zero = divide(divide(X0,divide(X0,zero)),zero),
    inference(resolution,[],[f241,f34]) ).

fof(f241,plain,
    ! [X0] : less_equal(divide(divide(X0,divide(X0,zero)),zero),zero),
    inference(superposition,[],[f57,f10]) ).

fof(f10,axiom,
    ! [X0] : zero = divide(X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.EP292FHtSO/Vampire---4.8_8994',x_divide_x_is_zero) ).

fof(f57,plain,
    ! [X0,X1] : less_equal(divide(divide(X1,X0),zero),divide(divide(X1,zero),X0)),
    inference(superposition,[],[f4,f9]) ).

fof(f9,axiom,
    ! [X0] : zero = divide(zero,X0),
    file('/export/starexec/sandbox2/tmp/tmp.EP292FHtSO/Vampire---4.8_8994',zero_divide_anything_is_zero) ).

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.EP292FHtSO/Vampire---4.8_8994',quotient_property) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( divide(X0,X1) != zero
      | less_equal(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.EP292FHtSO/Vampire---4.8_8994',quotient_less_equal2) ).

fof(f11,axiom,
    a != divide(a,zero),
    file('/export/starexec/sandbox2/tmp/tmp.EP292FHtSO/Vampire---4.8_8994',prove_x_divide_zero_is_x) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : HEN004-4 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15  % 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
% 0.14/0.36  % Computer : n027.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 13:18:21 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.14/0.36  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.EP292FHtSO/Vampire---4.8_8994
% 0.55/0.74  % (9370)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)
% 0.55/0.74  % (9370)Refutation not found, incomplete strategy% (9370)------------------------------
% 0.55/0.74  % (9370)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (9370)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (9370)Memory used [KB]: 960
% 0.55/0.74  % (9370)Time elapsed: 0.002 s
% 0.55/0.74  % (9370)Instructions burned: 2 (million)
% 0.55/0.74  % (9370)------------------------------
% 0.55/0.74  % (9370)------------------------------
% 0.55/0.74  % (9363)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)
% 0.55/0.74  % (9364)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)
% 0.55/0.74  % (9367)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)
% 0.55/0.74  % (9368)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)
% 0.55/0.74  % (9366)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)
% 0.55/0.74  % (9365)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74  % (9369)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)
% 0.55/0.74  % (9367)Refutation not found, incomplete strategy% (9367)------------------------------
% 0.55/0.74  % (9367)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (9367)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (9367)Memory used [KB]: 973
% 0.55/0.74  % (9367)Time elapsed: 0.002 s
% 0.55/0.74  % (9367)Instructions burned: 2 (million)
% 0.55/0.74  % (9363)Refutation not found, incomplete strategy% (9363)------------------------------
% 0.55/0.74  % (9363)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (9363)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (9363)Memory used [KB]: 989
% 0.55/0.74  % (9363)Time elapsed: 0.003 s
% 0.55/0.74  % (9363)Instructions burned: 2 (million)
% 0.55/0.74  % (9366)Refutation not found, incomplete strategy% (9366)------------------------------
% 0.55/0.74  % (9366)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (9367)------------------------------
% 0.55/0.74  % (9367)------------------------------
% 0.55/0.74  % (9366)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (9366)Memory used [KB]: 973
% 0.55/0.74  % (9366)Time elapsed: 0.003 s
% 0.55/0.74  % (9366)Instructions burned: 2 (million)
% 0.55/0.74  % (9363)------------------------------
% 0.55/0.74  % (9363)------------------------------
% 0.55/0.74  % (9368)Refutation not found, incomplete strategy% (9368)------------------------------
% 0.55/0.74  % (9368)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (9366)------------------------------
% 0.55/0.74  % (9366)------------------------------
% 0.55/0.74  % (9368)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (9368)Memory used [KB]: 977
% 0.55/0.74  % (9368)Time elapsed: 0.003 s
% 0.55/0.74  % (9368)Instructions burned: 3 (million)
% 0.55/0.74  % (9368)------------------------------
% 0.55/0.74  % (9368)------------------------------
% 0.55/0.74  % (9374)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.55/0.74  % (9374)Refutation not found, incomplete strategy% (9374)------------------------------
% 0.55/0.74  % (9374)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (9374)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (9374)Memory used [KB]: 989
% 0.55/0.74  % (9374)Time elapsed: 0.002 s
% 0.55/0.74  % (9374)Instructions burned: 2 (million)
% 0.55/0.74  % (9374)------------------------------
% 0.55/0.74  % (9374)------------------------------
% 0.55/0.74  % (9377)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.55/0.74  % (9378)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)
% 0.55/0.74  % (9379)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.55/0.74  % (9382)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.55/0.74  % (9380)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.55/0.74  % (9382)Refutation not found, incomplete strategy% (9382)------------------------------
% 0.55/0.74  % (9382)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (9382)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (9382)Memory used [KB]: 960
% 0.55/0.74  % (9382)Time elapsed: 0.001 s
% 0.55/0.74  % (9377)Refutation not found, incomplete strategy% (9377)------------------------------
% 0.55/0.74  % (9377)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (9382)Instructions burned: 2 (million)
% 0.55/0.74  % (9377)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (9377)Memory used [KB]: 960
% 0.55/0.74  % (9377)Time elapsed: 0.002 s
% 0.55/0.74  % (9377)Instructions burned: 2 (million)
% 0.55/0.74  % (9382)------------------------------
% 0.55/0.74  % (9382)------------------------------
% 0.55/0.74  % (9377)------------------------------
% 0.55/0.74  % (9377)------------------------------
% 0.55/0.74  % (9364)First to succeed.
% 0.55/0.75  % (9364)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9208"
% 0.55/0.75  % (9380)Refutation not found, incomplete strategy% (9380)------------------------------
% 0.55/0.75  % (9380)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (9380)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (9380)Memory used [KB]: 979
% 0.55/0.75  % (9380)Time elapsed: 0.004 s
% 0.55/0.75  % (9380)Instructions burned: 3 (million)
% 0.55/0.75  % (9364)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  % (9364)------------------------------
% 0.55/0.75  % (9364)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (9364)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (9364)Memory used [KB]: 1076
% 0.55/0.75  % (9364)Time elapsed: 0.009 s
% 0.55/0.75  % (9364)Instructions burned: 12 (million)
% 0.55/0.75  % (9208)Success in time 0.374 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------