TSTP Solution File: HEN008-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : HEN008-1 : 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 : 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 : Sun May  5 06:11:41 EDT 2024

% Result   : Unsatisfiable 0.66s 0.83s
% Output   : Refutation 0.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   25 (  12 unt;   0 def)
%            Number of atoms       :   57 (   4 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   65 (  33   ~;  32   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   57 (  57   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f423,plain,
    $false,
    inference(resolution,[],[f416,f13]) ).

fof(f13,axiom,
    ~ less_equal(aQc,bQc),
    file('/export/starexec/sandbox2/tmp/tmp.QTQwM8CfG9/Vampire---4.8_26573',prove_aQcLEbQc) ).

fof(f416,plain,
    less_equal(aQc,bQc),
    inference(resolution,[],[f410,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ quotient(X0,X1,zero)
      | less_equal(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.QTQwM8CfG9/Vampire---4.8_26573',less_equal_quotient) ).

fof(f410,plain,
    quotient(aQc,bQc,zero),
    inference(resolution,[],[f404,f11]) ).

fof(f11,axiom,
    quotient(a,c,aQc),
    file('/export/starexec/sandbox2/tmp/tmp.QTQwM8CfG9/Vampire---4.8_26573',aQc) ).

fof(f404,plain,
    ! [X0] :
      ( ~ quotient(a,c,X0)
      | quotient(X0,bQc,zero) ),
    inference(resolution,[],[f242,f10]) ).

fof(f10,axiom,
    less_equal(a,b),
    file('/export/starexec/sandbox2/tmp/tmp.QTQwM8CfG9/Vampire---4.8_26573',aLEb) ).

fof(f242,plain,
    ! [X0,X1] :
      ( ~ less_equal(X0,b)
      | quotient(X1,bQc,zero)
      | ~ quotient(X0,c,X1) ),
    inference(resolution,[],[f235,f12]) ).

fof(f12,axiom,
    quotient(b,c,bQc),
    file('/export/starexec/sandbox2/tmp/tmp.QTQwM8CfG9/Vampire---4.8_26573',bQc) ).

fof(f235,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ quotient(X0,X1,X2)
      | ~ quotient(X3,X1,X4)
      | quotient(X4,X2,zero)
      | ~ less_equal(X3,X0) ),
    inference(resolution,[],[f234,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( quotient(X0,X1,zero)
      | ~ less_equal(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.QTQwM8CfG9/Vampire---4.8_26573',quotient_less_equal) ).

fof(f234,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ quotient(X0,X3,zero)
      | ~ quotient(X3,X1,X4)
      | ~ quotient(X0,X1,X2)
      | quotient(X2,X4,zero) ),
    inference(resolution,[],[f159,f63]) ).

fof(f63,plain,
    ! [X0] : quotient(zero,X0,zero),
    inference(superposition,[],[f8,f61]) ).

fof(f61,plain,
    ! [X0] : zero = divide(zero,X0),
    inference(resolution,[],[f20,f17]) ).

fof(f17,plain,
    ! [X0,X1] : less_equal(divide(X0,X1),X0),
    inference(resolution,[],[f3,f8]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ quotient(X0,X1,X2)
      | less_equal(X2,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.QTQwM8CfG9/Vampire---4.8_26573',divisor_existence) ).

fof(f20,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.QTQwM8CfG9/Vampire---4.8_26573',zero_is_smallest) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ less_equal(X1,X0)
      | X0 = X1
      | ~ less_equal(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.QTQwM8CfG9/Vampire---4.8_26573',less_equal_and_equal) ).

fof(f8,axiom,
    ! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
    file('/export/starexec/sandbox2/tmp/tmp.QTQwM8CfG9/Vampire---4.8_26573',closure) ).

fof(f159,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ quotient(X5,X3,zero)
      | ~ quotient(X2,X3,X0)
      | ~ quotient(X4,X3,X1)
      | ~ quotient(X2,X4,X5)
      | quotient(X0,X1,zero) ),
    inference(superposition,[],[f8,f151]) ).

fof(f151,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( zero = divide(X3,X5)
      | ~ quotient(X2,X1,X3)
      | ~ quotient(X4,X1,X5)
      | ~ quotient(X2,X4,X0)
      | ~ quotient(X0,X1,zero) ),
    inference(resolution,[],[f144,f20]) ).

fof(f144,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( less_equal(divide(X3,X4),X2)
      | ~ quotient(X0,X1,X2)
      | ~ quotient(X5,X1,X3)
      | ~ quotient(X6,X1,X4)
      | ~ quotient(X5,X6,X0) ),
    inference(resolution,[],[f4,f8]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ quotient(X5,X4,X6)
      | ~ quotient(X3,X2,X7)
      | less_equal(X6,X7)
      | ~ quotient(X0,X2,X5)
      | ~ quotient(X1,X2,X4)
      | ~ quotient(X0,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.QTQwM8CfG9/Vampire---4.8_26573',quotient_property) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem    : HEN008-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.16  % 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
% 0.15/0.37  % Computer : n007.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Fri May  3 12:42:20 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.22/0.38  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.QTQwM8CfG9/Vampire---4.8_26573
% 0.60/0.81  % (26688)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)
% 0.60/0.81  % (26682)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)
% 0.60/0.81  % (26688)Refutation not found, incomplete strategy% (26688)------------------------------
% 0.60/0.81  % (26688)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (26685)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)
% 0.60/0.81  % (26688)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  % (26683)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)
% 0.60/0.81  
% 0.60/0.81  % (26688)Memory used [KB]: 964
% 0.60/0.81  % (26688)Time elapsed: 0.002 s
% 0.60/0.81  % (26684)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81  % (26688)Instructions burned: 2 (million)
% 0.60/0.82  % (26688)------------------------------
% 0.60/0.82  % (26688)------------------------------
% 0.60/0.82  % (26685)Refutation not found, incomplete strategy% (26685)------------------------------
% 0.60/0.82  % (26685)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (26685)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (26685)Memory used [KB]: 977
% 0.60/0.82  % (26685)Time elapsed: 0.003 s
% 0.60/0.82  % (26685)Instructions burned: 2 (million)
% 0.60/0.82  % (26685)------------------------------
% 0.60/0.82  % (26685)------------------------------
% 0.60/0.82  % (26691)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 (2995ds/55Mi)
% 0.60/0.82  % (26692)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 (2995ds/50Mi)
% 0.60/0.82  % (26691)Refutation not found, incomplete strategy% (26691)------------------------------
% 0.60/0.82  % (26691)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (26691)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (26691)Memory used [KB]: 974
% 0.60/0.82  % (26691)Time elapsed: 0.002 s
% 0.60/0.82  % (26691)Instructions burned: 2 (million)
% 0.60/0.82  % (26691)------------------------------
% 0.60/0.82  % (26691)------------------------------
% 0.60/0.82  % (26687)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)
% 0.60/0.82  % (26682)Refutation not found, incomplete strategy% (26682)------------------------------
% 0.60/0.82  % (26682)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (26682)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (26682)Memory used [KB]: 1084
% 0.60/0.82  % (26682)Time elapsed: 0.007 s
% 0.60/0.82  % (26682)Instructions burned: 9 (million)
% 0.60/0.82  % (26686)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)
% 0.60/0.82  % (26682)------------------------------
% 0.60/0.82  % (26682)------------------------------
% 0.60/0.82  % (26689)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)
% 0.60/0.82  % (26687)Refutation not found, incomplete strategy% (26687)------------------------------
% 0.60/0.82  % (26687)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (26687)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (26687)Memory used [KB]: 974
% 0.60/0.82  % (26687)Time elapsed: 0.004 s
% 0.60/0.82  % (26687)Instructions burned: 2 (million)
% 0.60/0.82  % (26687)------------------------------
% 0.60/0.82  % (26687)------------------------------
% 0.66/0.82  % (26689)Refutation not found, incomplete strategy% (26689)------------------------------
% 0.66/0.82  % (26689)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.82  % (26689)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82  
% 0.66/0.82  % (26689)Memory used [KB]: 1059
% 0.66/0.82  % (26689)Time elapsed: 0.004 s
% 0.66/0.82  % (26689)Instructions burned: 5 (million)
% 0.66/0.82  % (26689)------------------------------
% 0.66/0.82  % (26689)------------------------------
% 0.66/0.82  % (26694)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 (2995ds/52Mi)
% 0.66/0.83  % (26683)First to succeed.
% 0.66/0.83  % (26683)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26681"
% 0.66/0.83  % (26695)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 (2995ds/518Mi)
% 0.66/0.83  % (26683)Refutation found. Thanks to Tanya!
% 0.66/0.83  % SZS status Unsatisfiable for Vampire---4
% 0.66/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.83  % (26683)------------------------------
% 0.66/0.83  % (26683)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.83  % (26683)Termination reason: Refutation
% 0.66/0.83  
% 0.66/0.83  % (26683)Memory used [KB]: 1114
% 0.66/0.83  % (26683)Time elapsed: 0.012 s
% 0.66/0.83  % (26683)Instructions burned: 16 (million)
% 0.66/0.83  % (26681)Success in time 0.443 s
% 0.66/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------