TSTP Solution File: ARI591_1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI591_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 : n014.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 02:09:26 EDT 2024

% Result   : Theorem 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   24 (  10 unt;   1 typ;   0 def)
%            Number of atoms       :   49 (  16 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   47 (  21   ~;  21   |;   4   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :  117 (  32 atm;  15 fun;  43 num;  27 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   :   27 (  23   !;   4   ?;  27   :)

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

tff(f173,plain,
    $false,
    inference(evaluation,[],[f172]) ).

tff(f172,plain,
    1 = 2,
    inference(forward_demodulation,[],[f171,f44]) ).

tff(f44,plain,
    1 = sK0,
    inference(evaluation,[],[f40]) ).

tff(f40,plain,
    ( ~ $less(1,3)
    | $less(0,0)
    | ( 1 = sK0 ) ),
    inference(superposition,[],[f37,f5]) ).

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

tff(f37,plain,
    ! [X0: $int] :
      ( ~ $less($sum(1,X0),3)
      | $less(X0,0)
      | ( sK0 = $sum(1,X0) ) ),
    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] :
      ( ~ $less($sum(X0,1),3)
      | $less(X0,0)
      | ( $sum(X0,1) = sK0 ) ),
    inference(resolution,[],[f12,f18]) ).

tff(f18,plain,
    ! [X1: $int] :
      ( ~ $less(0,X1)
      | ~ $less(X1,3)
      | ( sK0 = X1 ) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ! [X1: $int] :
      ( ( sK0 = X1 )
      | ~ $less(X1,3)
      | ~ $less(0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).

tff(f16,plain,
    ( ? [X0: $int] :
      ! [X1: $int] :
        ( ( X0 = X1 )
        | ~ $less(X1,3)
        | ~ $less(0,X1) )
   => ! [X1: $int] :
        ( ( sK0 = X1 )
        | ~ $less(X1,3)
        | ~ $less(0,X1) ) ),
    introduced(choice_axiom,[]) ).

tff(f15,plain,
    ? [X0: $int] :
    ! [X1: $int] :
      ( ( X0 = X1 )
      | ~ $less(X1,3)
      | ~ $less(0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $int] :
      ? [X1: $int] :
        ( ( X0 != X1 )
        & $less(X1,3)
        & $less(0,X1) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $int] :
    ? [X1: $int] :
      ( ( X0 != X1 )
      & $less(X1,3)
      & $less(0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.Or249DRStI/Vampire---4.8_23984',exists_X_0_3_noteq_Y) ).

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

tff(f171,plain,
    sK0 = 2,
    inference(evaluation,[],[f162]) ).

tff(f162,plain,
    ( ~ $less($sum(2,0),3)
    | ( sK0 = $sum(2,0) ) ),
    inference(resolution,[],[f159,f18]) ).

tff(f159,plain,
    ! [X0: $int] : $less(X0,$sum(2,X0)),
    inference(evaluation,[],[f151]) ).

tff(f151,plain,
    ! [X0: $int] : $less(X0,$sum($sum(X0,1),1)),
    inference(resolution,[],[f143,f32]) ).

tff(f32,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(f143,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less($sum(X0,1),X1)
      | $less(X0,X1) ),
    inference(resolution,[],[f9,f32]) ).

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
% 0.11/0.13  % Problem    : ARI591_1 : TPTP v8.1.2. Released v5.1.0.
% 0.11/0.15  % 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
% 0.15/0.35  % Computer : n014.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 18:42:33 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a TF0_THM_EQU_ARI problem
% 0.15/0.35  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.Or249DRStI/Vampire---4.8_23984
% 0.56/0.73  % (24185)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)
% 0.56/0.73  % (24184)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)
% 0.56/0.74  % (24185)Refutation not found, incomplete strategy% (24185)------------------------------
% 0.56/0.74  % (24185)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  % (24185)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (24185)Memory used [KB]: 962
% 0.56/0.74  % (24185)Time elapsed: 0.002 s
% 0.56/0.74  % (24185)Instructions burned: 2 (million)
% 0.56/0.74  % (24185)------------------------------
% 0.56/0.74  % (24185)------------------------------
% 0.56/0.74  % (24178)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)
% 0.56/0.74  % (24180)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74  % (24181)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)
% 0.56/0.74  % (24183)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)
% 0.56/0.74  % (24179)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)
% 0.56/0.74  % (24182)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)
% 0.56/0.74  % (24181)Refutation not found, incomplete strategy% (24181)------------------------------
% 0.56/0.74  % (24181)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  % (24181)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (24181)Memory used [KB]: 967
% 0.56/0.74  % (24181)Time elapsed: 0.003 s
% 0.56/0.74  % (24181)Instructions burned: 2 (million)
% 0.56/0.74  % (24181)------------------------------
% 0.56/0.74  % (24181)------------------------------
% 0.56/0.74  % (24182)Refutation not found, incomplete strategy% (24182)------------------------------
% 0.56/0.74  % (24182)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  % (24182)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (24182)Memory used [KB]: 967
% 0.56/0.74  % (24182)Time elapsed: 0.003 s
% 0.56/0.74  % (24182)Instructions burned: 2 (million)
% 0.56/0.74  % (24182)------------------------------
% 0.56/0.74  % (24182)------------------------------
% 0.56/0.74  % (24189)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)
% 0.56/0.74  % (24179)First to succeed.
% 0.56/0.74  % (24179)Refutation found. Thanks to Tanya!
% 0.56/0.74  % SZS status Theorem for Vampire---4
% 0.56/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.74  % (24179)------------------------------
% 0.56/0.74  % (24179)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  % (24179)Termination reason: Refutation
% 0.56/0.74  
% 0.56/0.74  % (24179)Memory used [KB]: 1053
% 0.56/0.74  % (24179)Time elapsed: 0.007 s
% 0.56/0.74  % (24179)Instructions burned: 7 (million)
% 0.56/0.74  % (24179)------------------------------
% 0.56/0.74  % (24179)------------------------------
% 0.56/0.74  % (24150)Success in time 0.381 s
% 0.56/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------