TSTP Solution File: ARI612_1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI612_1 : TPTP v8.2.0. 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/sandbox/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 : Mon May 20 18:48:14 EDT 2024

% Result   : Theorem 0.60s 0.76s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   29 (   7 unt;   3 typ;   0 def)
%            Number of atoms       :   77 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   70 (  19   ~;  14   |;  19   &)
%                                         (  12 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number arithmetic     :   94 (  37 atm;   0 fun;  36 num;  21 var)
%            Number of types       :    2 (   0 usr;   1 ari)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   1 usr;   5 con; 0-0 aty)
%            Number of variables   :   21 (  19   !;   2   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_8,type,
    sK0: $int ).

tff(pred_def_1,type,
    p: $int > $o ).

tff(pred_def_2,type,
    q: $int > $o ).

tff(f218,plain,
    $false,
    inference(avatar_sat_refutation,[],[f170,f176,f207]) ).

tff(f207,plain,
    spl1_2,
    inference(avatar_contradiction_clause,[],[f206]) ).

tff(f206,plain,
    ( $false
    | spl1_2 ),
    inference(evaluation,[],[f198]) ).

tff(f198,plain,
    ( ~ $less(5,8)
    | spl1_2 ),
    inference(unit_resulting_resolution,[],[f26,f169,f9]) ).

tff(f9,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(X1,X2)
      | ~ $less(X0,X1)
      | $less(X0,X2) ),
    introduced(theory_axiom_143,[]) ).

tff(f169,plain,
    ( ~ $less(5,sK0)
    | spl1_2 ),
    inference(avatar_component_clause,[],[f167]) ).

tff(f167,plain,
    ( spl1_2
  <=> $less(5,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

tff(f26,plain,
    $less(8,sK0),
    inference(unit_resulting_resolution,[],[f24,f19]) ).

tff(f19,plain,
    ! [X0: $int] :
      ( ~ q(X0)
      | $less(8,X0) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ( ? [X2: $int] :
        ( ~ p(X2)
        & q(X2) )
    & ! [X0: $int] :
        ( ( $less(X0,12)
          & $less(8,X0) )
      <=> q(X0) )
    & ! [X1: $int] :
        ( ( $less(X1,15)
          & $less(5,X1) )
      <=> p(X1) ) ),
    inference(flattening,[],[f16]) ).

tff(f16,plain,
    ( ? [X2: $int] :
        ( ~ p(X2)
        & q(X2) )
    & ! [X0: $int] :
        ( ( $less(X0,12)
          & $less(8,X0) )
      <=> q(X0) )
    & ! [X1: $int] :
        ( ( $less(X1,15)
          & $less(5,X1) )
      <=> p(X1) ) ),
    inference(ennf_transformation,[],[f15]) ).

tff(f15,plain,
    ~ ( ( ! [X0: $int] :
            ( ( $less(X0,12)
              & $less(8,X0) )
          <=> q(X0) )
        & ! [X1: $int] :
            ( ( $less(X1,15)
              & $less(5,X1) )
          <=> p(X1) ) )
     => ! [X2: $int] :
          ( q(X2)
         => p(X2) ) ),
    inference(rectify,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ( ( ! [X0: $int] :
            ( ( $less(X0,12)
              & $less(8,X0) )
          <=> q(X0) )
        & ! [X0: $int] :
            ( ( $less(X0,15)
              & $less(5,X0) )
          <=> p(X0) ) )
     => ! [X0: $int] :
          ( q(X0)
         => p(X0) ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ( ( ! [X0: $int] :
          ( ( $less(X0,12)
            & $less(8,X0) )
        <=> q(X0) )
      & ! [X0: $int] :
          ( ( $less(X0,15)
            & $less(5,X0) )
        <=> p(X0) ) )
   => ! [X0: $int] :
        ( q(X0)
       => p(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',interv_8_12_subset_5_15) ).

tff(f24,plain,
    q(sK0),
    inference(cnf_transformation,[],[f17]) ).

tff(f176,plain,
    spl1_1,
    inference(avatar_contradiction_clause,[],[f175]) ).

tff(f175,plain,
    ( $false
    | spl1_1 ),
    inference(evaluation,[],[f172]) ).

tff(f172,plain,
    ( ~ $less(12,15)
    | spl1_1 ),
    inference(unit_resulting_resolution,[],[f35,f165,f9]) ).

tff(f165,plain,
    ( ~ $less(sK0,15)
    | spl1_1 ),
    inference(avatar_component_clause,[],[f163]) ).

tff(f163,plain,
    ( spl1_1
  <=> $less(sK0,15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

tff(f35,plain,
    $less(sK0,12),
    inference(unit_resulting_resolution,[],[f24,f20]) ).

tff(f20,plain,
    ! [X0: $int] :
      ( ~ q(X0)
      | $less(X0,12) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f170,plain,
    ( ~ spl1_1
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f161,f167,f163]) ).

tff(f161,plain,
    ( ~ $less(5,sK0)
    | ~ $less(sK0,15) ),
    inference(resolution,[],[f21,f25]) ).

tff(f25,plain,
    ~ p(sK0),
    inference(cnf_transformation,[],[f17]) ).

tff(f21,plain,
    ! [X1: $int] :
      ( p(X1)
      | ~ $less(5,X1)
      | ~ $less(X1,15) ),
    inference(cnf_transformation,[],[f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ARI612_1 : TPTP v8.2.0. Released v5.1.0.
% 0.07/0.14  % 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
% 0.14/0.36  % Computer : n006.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   : Sun May 19 12:54:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a TF0_THM_NEQ_ARI problem
% 0.14/0.36  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/benchmark/theBenchmark.p
% 0.60/0.75  % (30542)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 theBenchmark for (2996ds/83Mi)
% 0.60/0.75  % (30536)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 theBenchmark for (2996ds/34Mi)
% 0.60/0.75  % (30538)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.60/0.76  % (30537)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 theBenchmark for (2996ds/51Mi)
% 0.60/0.76  % (30540)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 theBenchmark for (2996ds/34Mi)
% 0.60/0.76  % (30539)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.60/0.76  % (30541)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.60/0.76  % (30542)First to succeed.
% 0.60/0.76  % (30542)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30532"
% 0.60/0.76  % (30540)Also succeeded, but the first one will report.
% 0.60/0.76  % (30542)Refutation found. Thanks to Tanya!
% 0.60/0.76  % SZS status Theorem for theBenchmark
% 0.60/0.76  % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.76  % (30542)------------------------------
% 0.60/0.76  % (30542)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (30542)Termination reason: Refutation
% 0.60/0.76  
% 0.60/0.76  % (30542)Memory used [KB]: 1070
% 0.60/0.76  % (30542)Time elapsed: 0.005 s
% 0.60/0.76  % (30542)Instructions burned: 9 (million)
% 0.60/0.76  % (30532)Success in time 0.39 s
% 0.60/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------