TSTP Solution File: ARI577_1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI577_1 : TPTP v8.1.2. Released v5.1.0.
% 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 : n006.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 04:34:03 EDT 2024

% Result   : Theorem 0.55s 0.73s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   3 unt;   0 typ;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   16 (   6   ~;   4   |;   6   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   59 (  17 atm;  12 fun;  19 num;  11 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (   5   !;   6   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f72,plain,
    $false,
    inference(evaluation,[],[f67]) ).

tff(f67,plain,
    $less(10,$sum($sum(4,1),4)),
    inference(unit_resulting_resolution,[],[f9,f9,f17]) ).

tff(f17,plain,
    ! [X0: $int,X1: $int] :
      ( $less(10,$sum(X0,X1))
      | $less(X0,$sum(X1,1))
      | $less(X1,4) ),
    inference(cnf_transformation,[],[f16]) ).

tff(f16,plain,
    ! [X0: $int,X1: $int] :
      ( $less(10,$sum(X0,X1))
      | $less(X0,$sum(X1,1))
      | $less(X1,4) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ? [X0: $int,X1: $int] :
        ( ~ $less(10,$sum(X0,X1))
        & ~ $less(X0,$sum(X1,1))
        & ~ $less(X1,4) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int,X1: $int] :
        ( $lesseq($sum(X0,X1),10)
        & $lesseq($sum(X1,1),X0)
        & $lesseq(4,X1) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int,X1: $int] :
      ( $lesseq($sum(X0,X1),10)
      & $lesseq($sum(X1,1),X0)
      & $lesseq(4,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.pGrc9F2YEa/Vampire---4.8_3165',ineq_sys_solvable_2) ).

tff(f9,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_142,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : ARI577_1 : TPTP v8.1.2. Released v5.1.0.
% 0.12/0.14  % 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
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 21:46:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TF0_THM_NEQ_ARI problem
% 0.14/0.35  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.pGrc9F2YEa/Vampire---4.8_3165
% 0.55/0.73  % (3360)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)
% 0.55/0.73  % (3364)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)
% 0.55/0.73  % (3357)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)
% 0.55/0.73  % (3364)Refutation not found, incomplete strategy% (3364)------------------------------
% 0.55/0.73  % (3364)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (3364)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (3364)Memory used [KB]: 969
% 0.55/0.73  % (3364)Time elapsed: 0.002 s
% 0.55/0.73  % (3364)Instructions burned: 3 (million)
% 0.55/0.73  % (3359)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.73  % (3364)------------------------------
% 0.55/0.73  % (3364)------------------------------
% 0.55/0.73  % (3358)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)
% 0.55/0.73  % (3361)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)
% 0.55/0.73  % (3362)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)
% 0.55/0.73  % (3360)First to succeed.
% 0.55/0.73  % (3363)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)
% 0.55/0.73  % (3360)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3332"
% 0.55/0.73  % (3360)Refutation found. Thanks to Tanya!
% 0.55/0.73  % SZS status Theorem for Vampire---4
% 0.55/0.73  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.73  % (3360)------------------------------
% 0.55/0.73  % (3360)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (3360)Termination reason: Refutation
% 0.55/0.73  
% 0.55/0.73  % (3360)Memory used [KB]: 980
% 0.55/0.73  % (3360)Time elapsed: 0.003 s
% 0.55/0.73  % (3360)Instructions burned: 4 (million)
% 0.55/0.73  % (3332)Success in time 0.371 s
% 0.55/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------