TSTP Solution File: ARI544_1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI544_1 : TPTP v8.1.2. Released v5.0.0.
% 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 : 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 : Wed May  1 02:09:14 EDT 2024

% Result   : Theorem 0.59s 0.76s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   5 unt;   1 typ;   0 def)
%            Number of atoms       :   17 (   8 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   14 (   7   ~;   0   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   43 (   8 atm;   7 fun;  24 num;   4 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    :    6 (   1 usr;   5 con; 0-2 aty)
%            Number of variables   :    4 (   2   !;   2   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_7,type,
    sK0: $int ).

tff(f22,plain,
    $false,
    inference(evaluation,[],[f21]) ).

tff(f21,plain,
    ~ $less(5,7),
    inference(backward_demodulation,[],[f19,f20]) ).

tff(f20,plain,
    sK0 = 5,
    inference(evaluation,[],[f18]) ).

tff(f18,plain,
    $sum(2,3) = sK0,
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ( ~ $less(sK0,7)
    & ( $sum(2,3) = sK0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).

tff(f16,plain,
    ( ? [X0: $int] :
        ( ~ $less(X0,7)
        & ( $sum(2,3) = X0 ) )
   => ( ~ $less(sK0,7)
      & ( $sum(2,3) = sK0 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f15,plain,
    ? [X0: $int] :
      ( ~ $less(X0,7)
      & ( $sum(2,3) = X0 ) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $int] :
        ( ( $sum(2,3) = X0 )
       => $less(X0,7) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $int] :
      ( ( $sum(2,3) = X0 )
     => $less(X0,7) ),
    file('/export/starexec/sandbox/tmp/tmp.qgo1g4SWsn/Vampire---4.8_708',int_combined_problem_8) ).

tff(f19,plain,
    ~ $less(sK0,7),
    inference(cnf_transformation,[],[f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : ARI544_1 : TPTP v8.1.2. Released v5.0.0.
% 0.04/0.15  % 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
% 0.15/0.36  % Computer : n007.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Tue Apr 30 18:41:48 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a TF0_THM_EQU_ARI problem
% 0.15/0.37  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.qgo1g4SWsn/Vampire---4.8_708
% 0.59/0.75  % (1179)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)
% 0.59/0.75  % (1172)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)
% 0.59/0.76  % (1174)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.76  % (1173)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)
% 0.59/0.76  % (1175)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)
% 0.59/0.76  % (1177)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)
% 0.59/0.76  % (1176)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)
% 0.59/0.76  % (1178)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)
% 0.59/0.76  % (1174)First to succeed.
% 0.59/0.76  % (1175)Also succeeded, but the first one will report.
% 0.59/0.76  % (1178)Also succeeded, but the first one will report.
% 0.59/0.76  % (1174)Refutation found. Thanks to Tanya!
% 0.59/0.76  % SZS status Theorem for Vampire---4
% 0.59/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76  % (1174)------------------------------
% 0.59/0.76  % (1174)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (1174)Termination reason: Refutation
% 0.59/0.76  
% 0.59/0.76  % (1174)Memory used [KB]: 964
% 0.59/0.76  % (1174)Time elapsed: 0.003 s
% 0.59/0.76  % (1174)Instructions burned: 2 (million)
% 0.59/0.76  % (1174)------------------------------
% 0.59/0.76  % (1174)------------------------------
% 0.59/0.76  % (1002)Success in time 0.382 s
% 0.59/0.76  % Vampire---4.8 exiting
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