TSTP Solution File: ARI590_1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI590_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 : n019.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 04:34:07 EDT 2024

% Result   : Theorem 0.61s 0.80s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (   5 unt;   1 typ;   0 def)
%            Number of atoms       :   34 (  13 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   24 (   8   ~;  13   |;   2   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   72 (  20 atm;   6 fun;  25 num;  21 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    :    4 (   1 usr;   3 con; 0-2 aty)
%            Number of variables   :   21 (  17   !;   4   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_4,type,
    sK0: $int ).

tff(f59,plain,
    $false,
    inference(evaluation,[],[f58]) ).

tff(f58,plain,
    $less(1,1),
    inference(factoring,[],[f56]) ).

tff(f56,plain,
    ! [X0: $int] :
      ( $less(1,X0)
      | $less(X0,1) ),
    inference(forward_demodulation,[],[f53,f55]) ).

tff(f55,plain,
    1 = sK0,
    inference(evaluation,[],[f46]) ).

tff(f46,plain,
    ( ( 1 = sK0 )
    | $less(0,0) ),
    inference(superposition,[],[f37,f5]) ).

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

tff(f37,plain,
    ! [X0: $int] :
      ( ( sK0 = $sum(1,X0) )
      | $less(X0,0) ),
    inference(superposition,[],[f31,f3]) ).

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

tff(f31,plain,
    ! [X0: $int] :
      ( ( $sum(X0,1) = sK0 )
      | $less(X0,0) ),
    inference(resolution,[],[f12,f18]) ).

tff(f18,plain,
    ! [X1: $int] :
      ( ~ $less(0,X1)
      | ( sK0 = X1 ) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ! [X1: $int] :
      ( ( sK0 = X1 )
      | ~ $less(0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).

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

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

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

tff(f1,conjecture,
    ! [X0: $int] :
    ? [X1: $int] :
      ( ( X0 != X1 )
      & $less(0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.WXKW5gqvdm/Vampire---4.8_7252',exists_pos_X_noteq_Y) ).

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

tff(f53,plain,
    ! [X0: $int] :
      ( $less(X0,sK0)
      | $less(1,X0) ),
    inference(evaluation,[],[f51]) ).

tff(f51,plain,
    ! [X0: $int] :
      ( $less(X0,sK0)
      | $less(1,X0)
      | $less(1,0) ),
    inference(superposition,[],[f12,f37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : ARI590_1 : TPTP v8.1.2. Released v5.1.0.
% 0.12/0.15  % 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
% 0.14/0.36  % Computer : n019.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   : Fri May  3 21:49:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a TF0_THM_EQU_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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.WXKW5gqvdm/Vampire---4.8_7252
% 0.61/0.79  % (7452)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)
% 0.61/0.79  % (7446)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)
% 0.61/0.79  % (7452)Refutation not found, incomplete strategy% (7452)------------------------------
% 0.61/0.79  % (7452)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (7452)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (7452)Memory used [KB]: 962
% 0.61/0.79  % (7452)Time elapsed: 0.003 s
% 0.61/0.79  % (7452)Instructions burned: 2 (million)
% 0.61/0.79  % (7447)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.79  % (7449)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)
% 0.61/0.79  % (7452)------------------------------
% 0.61/0.79  % (7452)------------------------------
% 0.61/0.79  % (7451)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)
% 0.61/0.79  % (7445)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)
% 0.61/0.79  % (7450)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)
% 0.61/0.79  % (7448)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)
% 0.61/0.79  % (7449)Refutation not found, incomplete strategy% (7449)------------------------------
% 0.61/0.79  % (7449)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (7449)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (7449)Memory used [KB]: 967
% 0.61/0.79  % (7449)Time elapsed: 0.004 s
% 0.61/0.79  % (7449)Instructions burned: 2 (million)
% 0.61/0.79  % (7446)First to succeed.
% 0.61/0.79  % (7449)------------------------------
% 0.61/0.79  % (7449)------------------------------
% 0.61/0.80  % (7446)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7416"
% 0.61/0.80  % (7448)Refutation not found, incomplete strategy% (7448)------------------------------
% 0.61/0.80  % (7448)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (7448)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (7448)Memory used [KB]: 967
% 0.61/0.80  % (7448)Time elapsed: 0.004 s
% 0.61/0.80  % (7448)Instructions burned: 2 (million)
% 0.61/0.80  % (7448)------------------------------
% 0.61/0.80  % (7448)------------------------------
% 0.61/0.80  % (7446)Refutation found. Thanks to Tanya!
% 0.61/0.80  % SZS status Theorem for Vampire---4
% 0.61/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.80  % (7446)------------------------------
% 0.61/0.80  % (7446)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (7446)Termination reason: Refutation
% 0.61/0.80  
% 0.61/0.80  % (7446)Memory used [KB]: 982
% 0.61/0.80  % (7446)Time elapsed: 0.004 s
% 0.61/0.80  % (7446)Instructions burned: 4 (million)
% 0.61/0.80  % (7416)Success in time 0.429 s
% 0.61/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------