TSTP Solution File: ARI602_1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI602_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 : n016.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 02:09:29 EDT 2024

% Result   : Theorem 0.46s 0.66s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   3 unt;   2 typ;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   20 (   9   ~;   3   |;   5   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   45 (  19 atm;   0 fun;  14 num;  12 var)
%            Number of types       :    2 (   0 usr;   1 ari)
%            Number of type conns  :    3 (   2   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   1 usr;   2 con; 0-1 aty)
%            Number of variables   :   13 (   9   !;   3   ?;  13   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    f: $int > $int ).

tff(pred_def_3,type,
    sQ0_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f25,plain,
    $false,
    inference(evaluation,[],[f24]) ).

tff(f24,plain,
    ~ $less(4,5),
    inference(resolution,[],[f19,f18]) ).

tff(f18,plain,
    ! [X1: $int] : $less(X1,f(X1)),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,f(5))
        | ~ $less(4,X0) )
    & ! [X1: $int] : $less(X1,f(X1)) ),
    inference(rectify,[],[f16]) ).

tff(f16,plain,
    ( ! [X1: $int] :
        ( ~ $less(X1,f(5))
        | ~ $less(4,X1) )
    & ! [X0: $int] : $less(X0,f(X0)) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ( ! [X0: $int] : $less(X0,f(X0))
     => ? [X1: $int] :
          ( $less(X1,f(5))
          & $less(4,X1) ) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ( ! [X0: $int] : $greater(f(X0),X0)
     => ? [X1: $int] :
          ( $less(X1,f(5))
          & $less(4,X1) ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ( ! [X0: $int] : $greater(f(X0),X0)
   => ? [X1: $int] :
        ( $less(X1,f(5))
        & $less(4,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ORfoJeJSq0/Vampire---4.8_19578',fX_gt_X_implies_exist_ineq) ).

tff(f19,plain,
    ! [X0: $int] :
      ( ~ $less(X0,f(5))
      | ~ $less(4,X0) ),
    inference(cnf_transformation,[],[f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10  % Problem    : ARI602_1 : TPTP v8.1.2. Released v5.1.0.
% 0.10/0.11  % 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
% 0.10/0.30  % Computer : n016.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Apr 30 19:25:56 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a TF0_THM_NEQ_ARI problem
% 0.10/0.31  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.ORfoJeJSq0/Vampire---4.8_19578
% 0.46/0.66  % (19686)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)
% 0.46/0.66  % (19689)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)
% 0.46/0.66  % (19688)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.46/0.66  % (19690)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)
% 0.46/0.66  % (19686)First to succeed.
% 0.46/0.66  % (19691)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)
% 0.46/0.66  % (19692)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)
% 0.46/0.66  % (19693)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)
% 0.46/0.66  % (19689)Also succeeded, but the first one will report.
% 0.46/0.66  % (19686)Refutation found. Thanks to Tanya!
% 0.46/0.66  % SZS status Theorem for Vampire---4
% 0.46/0.66  % SZS output start Proof for Vampire---4
% See solution above
% 0.46/0.66  % (19686)------------------------------
% 0.46/0.66  % (19686)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.46/0.66  % (19686)Termination reason: Refutation
% 0.46/0.66  
% 0.46/0.66  % (19686)Memory used [KB]: 960
% 0.46/0.66  % (19686)Time elapsed: 0.002 s
% 0.46/0.66  % (19686)Instructions burned: 2 (million)
% 0.46/0.66  % (19686)------------------------------
% 0.46/0.66  % (19686)------------------------------
% 0.46/0.66  % (19685)Success in time 0.348 s
% 0.46/0.66  % Vampire---4.8 exiting
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