TSTP Solution File: DAT008_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : DAT008_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 : n022.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 02:18:32 EDT 2024

% Result   : Theorem 0.59s 0.80s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   44 (  10 unt;   6 typ;   0 def)
%            Number of atoms       :   79 (  35 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   66 (  25   ~;  19   |;  15   &)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :  131 (  27 atm;   0 fun;  69 num;  35 var)
%            Number of types       :    2 (   1 usr;   1 ari)
%            Number of type conns  :    5 (   2   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   2 usr;   3 prp; 0-2 aty)
%            Number of functors    :    9 (   5 usr;   7 con; 0-3 aty)
%            Number of variables   :   54 (  40   !;  14   ?;  54   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    array: $tType ).

tff(func_def_0,type,
    read: ( array * $int ) > $int ).

tff(func_def_1,type,
    write: ( array * $int * $int ) > array ).

tff(func_def_10,type,
    sK0: array ).

tff(func_def_11,type,
    sK1: array ).

tff(func_def_12,type,
    sK2: $int ).

tff(f107,plain,
    $false,
    inference(avatar_sat_refutation,[],[f75,f90,f99]) ).

tff(f99,plain,
    ~ spl3_5,
    inference(avatar_contradiction_clause,[],[f98]) ).

tff(f98,plain,
    ( $false
    | ~ spl3_5 ),
    inference(evaluation,[],[f97]) ).

tff(f97,plain,
    ( ~ $less(7,9)
    | ~ spl3_5 ),
    inference(forward_demodulation,[],[f91,f43]) ).

tff(f43,plain,
    9 = read(sK0,7),
    inference(superposition,[],[f29,f26]) ).

tff(f26,plain,
    sK0 = write(write(sK1,3,5),7,9),
    inference(cnf_transformation,[],[f24]) ).

tff(f24,plain,
    ( ~ $less(sK2,read(sK0,sK2))
    & ( sK0 = write(write(sK1,3,5),7,9) )
    & ! [X3: $int] : $less(X3,read(sK1,X3)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f21,f23,f22]) ).

tff(f22,plain,
    ( ? [X0: array,X1: array] :
        ( ? [X2: $int] : ~ $less(X2,read(X0,X2))
        & ( write(write(X1,3,5),7,9) = X0 )
        & ! [X3: $int] : $less(X3,read(X1,X3)) )
   => ( ? [X2: $int] : ~ $less(X2,read(sK0,X2))
      & ( sK0 = write(write(sK1,3,5),7,9) )
      & ! [X3: $int] : $less(X3,read(sK1,X3)) ) ),
    introduced(choice_axiom,[]) ).

tff(f23,plain,
    ( ? [X2: $int] : ~ $less(X2,read(sK0,X2))
   => ~ $less(sK2,read(sK0,sK2)) ),
    introduced(choice_axiom,[]) ).

tff(f21,plain,
    ? [X0: array,X1: array] :
      ( ? [X2: $int] : ~ $less(X2,read(X0,X2))
      & ( write(write(X1,3,5),7,9) = X0 )
      & ! [X3: $int] : $less(X3,read(X1,X3)) ),
    inference(rectify,[],[f20]) ).

tff(f20,plain,
    ? [X0: array,X1: array] :
      ( ? [X3: $int] : ~ $less(X3,read(X0,X3))
      & ( write(write(X1,3,5),7,9) = X0 )
      & ! [X2: $int] : $less(X2,read(X1,X2)) ),
    inference(flattening,[],[f19]) ).

tff(f19,plain,
    ? [X0: array,X1: array] :
      ( ? [X3: $int] : ~ $less(X3,read(X0,X3))
      & ( write(write(X1,3,5),7,9) = X0 )
      & ! [X2: $int] : $less(X2,read(X1,X2)) ),
    inference(ennf_transformation,[],[f5]) ).

tff(f5,plain,
    ~ ! [X0: array,X1: array] :
        ( ( ( write(write(X1,3,5),7,9) = X0 )
          & ! [X2: $int] : $less(X2,read(X1,X2)) )
       => ! [X3: $int] : $less(X3,read(X0,X3)) ),
    inference(theory_normalization,[],[f4]) ).

tff(f4,negated_conjecture,
    ~ ! [X0: array,X1: array] :
        ( ( ( write(write(X1,3,5),7,9) = X0 )
          & ! [X2: $int] : $greater(read(X1,X2),X2) )
       => ! [X3: $int] : $greater(read(X0,X3),X3) ),
    inference(negated_conjecture,[],[f3]) ).

tff(f3,conjecture,
    ! [X0: array,X1: array] :
      ( ( ( write(write(X1,3,5),7,9) = X0 )
        & ! [X2: $int] : $greater(read(X1,X2),X2) )
     => ! [X3: $int] : $greater(read(X0,X3),X3) ),
    file('/export/starexec/sandbox/tmp/tmp.biCwN6ttV0/Vampire---4.8_11940',co1) ).

tff(f29,plain,
    ! [X2: $int,X0: array,X1: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    ! [X0: array,X1: $int,X2: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
    file('/export/starexec/sandbox/tmp/tmp.biCwN6ttV0/Vampire---4.8_11940',ax1) ).

tff(f91,plain,
    ( ~ $less(7,read(sK0,7))
    | ~ spl3_5 ),
    inference(superposition,[],[f27,f73]) ).

tff(f73,plain,
    ( ( 7 = sK2 )
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f71]) ).

tff(f71,plain,
    ( spl3_5
  <=> ( 7 = sK2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

tff(f27,plain,
    ~ $less(sK2,read(sK0,sK2)),
    inference(cnf_transformation,[],[f24]) ).

tff(f90,plain,
    ~ spl3_4,
    inference(avatar_contradiction_clause,[],[f89]) ).

tff(f89,plain,
    ( $false
    | ~ spl3_4 ),
    inference(evaluation,[],[f88]) ).

tff(f88,plain,
    ( ~ $less(3,5)
    | ~ spl3_4 ),
    inference(forward_demodulation,[],[f80,f52]) ).

tff(f52,plain,
    5 = read(sK0,3),
    inference(evaluation,[],[f48]) ).

tff(f48,plain,
    ( ( 5 = read(sK0,3) )
    | ( 3 = 7 ) ),
    inference(superposition,[],[f44,f29]) ).

tff(f44,plain,
    ! [X0: $int] :
      ( ( read(write(sK1,3,5),X0) = read(sK0,X0) )
      | ( 7 = X0 ) ),
    inference(superposition,[],[f28,f26]) ).

tff(f28,plain,
    ! [X2: $int,X3: $int,X0: array,X1: $int] :
      ( ( read(write(X0,X1,X3),X2) = read(X0,X2) )
      | ( X1 = X2 ) ),
    inference(cnf_transformation,[],[f18]) ).

tff(f18,plain,
    ! [X0: array,X1: $int,X2: $int,X3: $int] :
      ( ( read(write(X0,X1,X3),X2) = read(X0,X2) )
      | ( X1 = X2 ) ),
    inference(rectify,[],[f2]) ).

tff(f2,axiom,
    ! [X3: array,X4: $int,X5: $int,X6: $int] :
      ( ( read(write(X3,X4,X6),X5) = read(X3,X5) )
      | ( X4 = X5 ) ),
    file('/export/starexec/sandbox/tmp/tmp.biCwN6ttV0/Vampire---4.8_11940',ax2) ).

tff(f80,plain,
    ( ~ $less(3,read(sK0,3))
    | ~ spl3_4 ),
    inference(superposition,[],[f27,f69]) ).

tff(f69,plain,
    ( ( 3 = sK2 )
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f67]) ).

tff(f67,plain,
    ( spl3_4
  <=> ( 3 = sK2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

tff(f75,plain,
    ( spl3_4
    | spl3_5 ),
    inference(avatar_split_clause,[],[f60,f71,f67]) ).

tff(f60,plain,
    ( ( 7 = sK2 )
    | ( 3 = sK2 ) ),
    inference(resolution,[],[f57,f27]) ).

tff(f57,plain,
    ! [X0: $int] :
      ( $less(X0,read(sK0,X0))
      | ( 7 = X0 )
      | ( 3 = X0 ) ),
    inference(superposition,[],[f25,f47]) ).

tff(f47,plain,
    ! [X0: $int] :
      ( ( read(sK1,X0) = read(sK0,X0) )
      | ( 7 = X0 )
      | ( 3 = X0 ) ),
    inference(superposition,[],[f44,f28]) ).

tff(f25,plain,
    ! [X3: $int] : $less(X3,read(sK1,X3)),
    inference(cnf_transformation,[],[f24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : DAT008_1 : TPTP v8.1.2. Released v5.0.0.
% 0.02/0.11  % 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
% 0.10/0.31  % Computer : n022.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Apr 30 16:29:28 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a TF0_THM_EQU_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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.biCwN6ttV0/Vampire---4.8_11940
% 0.59/0.78  % (12055)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.59/0.78  % (12050)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 (2995ds/34Mi)
% 0.59/0.78  % (12053)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.59/0.78  % (12051)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 (2995ds/51Mi)
% 0.59/0.79  % (12056)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 (2995ds/83Mi)
% 0.59/0.79  % (12054)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 (2995ds/34Mi)
% 0.59/0.79  % (12057)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 (2995ds/56Mi)
% 0.59/0.79  % (12052)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.80  % (12055)First to succeed.
% 0.59/0.80  % (12053)Instruction limit reached!
% 0.59/0.80  % (12053)------------------------------
% 0.59/0.80  % (12053)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.80  % (12053)Termination reason: Unknown
% 0.59/0.80  % (12053)Termination phase: Saturation
% 0.59/0.80  
% 0.59/0.80  % (12053)Memory used [KB]: 1203
% 0.59/0.80  % (12053)Time elapsed: 0.018 s
% 0.59/0.80  % (12053)Instructions burned: 33 (million)
% 0.59/0.80  % (12053)------------------------------
% 0.59/0.80  % (12053)------------------------------
% 0.59/0.80  % (12055)Refutation found. Thanks to Tanya!
% 0.59/0.80  % SZS status Theorem for Vampire---4
% 0.59/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.80  % (12055)------------------------------
% 0.59/0.80  % (12055)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.80  % (12055)Termination reason: Refutation
% 0.59/0.80  
% 0.59/0.80  % (12055)Memory used [KB]: 1074
% 0.59/0.80  % (12055)Time elapsed: 0.006 s
% 0.59/0.80  % (12055)Instructions burned: 6 (million)
% 0.59/0.80  % (12055)------------------------------
% 0.59/0.80  % (12055)------------------------------
% 0.59/0.80  % (12048)Success in time 0.501 s
% 0.59/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------