TSTP Solution File: ARI592_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI592_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/sandbox/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 : Sun May  5 04:34:08 EDT 2024

% Result   : Theorem 0.54s 0.74s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   34 (  11 unt;   2 typ;   0 def)
%            Number of atoms       :   70 (  15 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   66 (  28   ~;  26   |;   8   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :  142 (  51 atm;  11 fun;  45 num;  35 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   1 usr;   2 prp; 0-2 aty)
%            Number of functors    :    6 (   2 usr;   5 con; 0-2 aty)
%            Number of variables   :   35 (  29   !;   6   ?;  35   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_5,type,
    sK0: $int ).

tff(func_def_6,type,
    sK1: $int ).

tff(f186,plain,
    $false,
    inference(avatar_sat_refutation,[],[f176,f182]) ).

tff(f182,plain,
    ~ spl2_2,
    inference(avatar_split_clause,[],[f181,f51]) ).

tff(f51,plain,
    ( spl2_2
  <=> $less(1,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

tff(f181,plain,
    ~ $less(1,sK1),
    inference(evaluation,[],[f180]) ).

tff(f180,plain,
    ( ( 2 = 1 )
    | ~ $less(1,sK1) ),
    inference(forward_demodulation,[],[f59,f94]) ).

tff(f94,plain,
    2 = sK0,
    inference(evaluation,[],[f91]) ).

tff(f91,plain,
    ( $less(2,1)
    | ( 2 = sK0 ) ),
    inference(resolution,[],[f88,f18]) ).

tff(f18,plain,
    $less(2,sK1),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ( ! [X2: $int] :
        ( ( sK0 = X2 )
        | ~ $less(X2,sK1)
        | ~ $less(0,X2) )
    & $less(2,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f16]) ).

tff(f16,plain,
    ( ? [X0: $int,X1: $int] :
        ( ! [X2: $int] :
            ( ( X0 = X2 )
            | ~ $less(X2,X1)
            | ~ $less(0,X2) )
        & $less(2,X1) )
   => ( ! [X2: $int] :
          ( ( sK0 = X2 )
          | ~ $less(X2,sK1)
          | ~ $less(0,X2) )
      & $less(2,sK1) ) ),
    introduced(choice_axiom,[]) ).

tff(f15,plain,
    ? [X0: $int,X1: $int] :
      ( ! [X2: $int] :
          ( ( X0 = X2 )
          | ~ $less(X2,X1)
          | ~ $less(0,X2) )
      & $less(2,X1) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $int,X1: $int] :
        ( $less(2,X1)
       => ? [X2: $int] :
            ( ( X0 != X2 )
            & $less(X2,X1)
            & $less(0,X2) ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $int,X1: $int] :
      ( $less(2,X1)
     => ? [X2: $int] :
          ( ( X0 != X2 )
          & $less(X2,X1)
          & $less(0,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.FolUHtQoHu/Vampire---4.8_14205',exists_X_0_Z_noteq_Y) ).

tff(f88,plain,
    ! [X0: $int] :
      ( ~ $less(X0,sK1)
      | $less(X0,1)
      | ( sK0 = X0 ) ),
    inference(resolution,[],[f83,f19]) ).

tff(f19,plain,
    ! [X2: $int] :
      ( ~ $less(0,X2)
      | ~ $less(X2,sK1)
      | ( sK0 = X2 ) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f83,plain,
    ! [X0: $int] :
      ( $less(0,X0)
      | $less(X0,1) ),
    inference(superposition,[],[f34,f5]) ).

tff(f5,plain,
    ! [X0: $int] : ( $sum(X0,0) = X0 ),
    introduced(theory_axiom_137,[]) ).

tff(f34,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,$sum(1,X0))
      | $less(X0,X1) ),
    inference(superposition,[],[f12,f3]) ).

tff(f3,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_135,[]) ).

tff(f12,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,$sum(X0,1))
      | $less(X0,X1) ),
    introduced(theory_axiom_147,[]) ).

tff(f59,plain,
    ( ~ $less(1,sK1)
    | ( 1 = sK0 ) ),
    inference(evaluation,[],[f55]) ).

tff(f55,plain,
    ( ~ $less($sum(0,1),sK1)
    | ( sK0 = $sum(0,1) ) ),
    inference(resolution,[],[f33,f19]) ).

tff(f33,plain,
    ! [X0: $int] : $less(X0,$sum(X0,1)),
    inference(resolution,[],[f12,f8]) ).

tff(f8,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_142,[]) ).

tff(f176,plain,
    spl2_2,
    inference(avatar_split_clause,[],[f175,f51]) ).

tff(f175,plain,
    $less(1,sK1),
    inference(evaluation,[],[f169]) ).

tff(f169,plain,
    ( $less(1,sK1)
    | ~ $less(1,2) ),
    inference(resolution,[],[f158,f71]) ).

tff(f71,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X1,$sum(1,X0))
      | ~ $less(X0,X1) ),
    inference(superposition,[],[f14,f3]) ).

tff(f14,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X1,$sum(X0,1))
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_161,[]) ).

tff(f158,plain,
    ! [X0: $int] :
      ( $less(2,$sum(X0,1))
      | $less(X0,sK1) ),
    inference(resolution,[],[f151,f12]) ).

tff(f151,plain,
    ! [X0: $int] :
      ( ~ $less(sK1,X0)
      | $less(2,X0) ),
    inference(resolution,[],[f9,f18]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ARI592_1 : TPTP v8.1.2. 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
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 21:43:38 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a TF0_THM_EQU_ARI problem
% 0.13/0.35  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.FolUHtQoHu/Vampire---4.8_14205
% 0.54/0.73  % (14610)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)
% 0.54/0.73  % (14610)Refutation not found, incomplete strategy% (14610)------------------------------
% 0.54/0.73  % (14610)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73  % (14610)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73  
% 0.54/0.73  % (14610)Memory used [KB]: 965
% 0.54/0.73  % (14610)Time elapsed: 0.002 s
% 0.54/0.73  % (14610)Instructions burned: 2 (million)
% 0.54/0.73  % (14603)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)
% 0.54/0.73  % (14605)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.73  % (14604)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)
% 0.54/0.73  % (14607)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)
% 0.54/0.73  % (14610)------------------------------
% 0.54/0.73  % (14610)------------------------------
% 0.54/0.73  % (14608)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)
% 0.54/0.73  % (14606)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)
% 0.54/0.73  % (14609)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)
% 0.54/0.74  % (14606)Refutation not found, incomplete strategy% (14606)------------------------------
% 0.54/0.74  % (14606)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74  % (14606)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74  
% 0.54/0.74  % (14606)Memory used [KB]: 971
% 0.54/0.74  % (14606)Time elapsed: 0.004 s
% 0.54/0.74  % (14606)Instructions burned: 3 (million)
% 0.54/0.74  % (14614)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 (2996ds/55Mi)
% 0.54/0.74  % (14606)------------------------------
% 0.54/0.74  % (14606)------------------------------
% 0.54/0.74  % (14604)First to succeed.
% 0.54/0.74  % (14604)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14456"
% 0.54/0.74  % (14604)Refutation found. Thanks to Tanya!
% 0.54/0.74  % SZS status Theorem for Vampire---4
% 0.54/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.74  % (14604)------------------------------
% 0.54/0.74  % (14604)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74  % (14604)Termination reason: Refutation
% 0.54/0.74  
% 0.54/0.74  % (14604)Memory used [KB]: 1071
% 0.54/0.74  % (14604)Time elapsed: 0.007 s
% 0.54/0.74  % (14604)Instructions burned: 8 (million)
% 0.54/0.74  % (14456)Success in time 0.384 s
% 0.54/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------