TSTP Solution File: SYN000_5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN000_5 : TPTP v8.1.2. Bugfixed v5.5.1.
% 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 : 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 : Wed May  1 04:32:49 EDT 2024

% Result   : Theorem 0.61s 0.80s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   21 (   6 unt;   9 typ;   0 def)
%            Number of atoms       :   23 (   8 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   22 (  11   ~;   6   |;   5   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number arithmetic     :   92 (  14 atm;  35 fun;  24 num;  19 var)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (   6 usr;   7 con; 0-2 aty)
%            Number of variables   :   20 (   9   !;  11   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    a_int: $int ).

tff(func_def_1,type,
    a_rat: $rat ).

tff(func_def_2,type,
    a_real: $real ).

tff(func_def_78,type,
    sK0: $int > $int ).

tff(func_def_79,type,
    sK1: $real > $real ).

tff(func_def_80,type,
    sK2: $rat > $rat ).

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

tff(pred_def_2,type,
    p_rat: $rat > $o ).

tff(pred_def_3,type,
    p_real: $real > $o ).

tff(f288,plain,
    $false,
    inference(evaluation,[],[f287]) ).

tff(f287,plain,
    ~ $less($to_int($to_rat(0)),3),
    inference(superposition,[],[f263,f108]) ).

tff(f108,plain,
    ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_140,[]) ).

tff(f263,plain,
    ! [X0: $int] : ~ $less($to_int($to_rat($sum(2,X0))),3),
    inference(superposition,[],[f225,f104]) ).

tff(f104,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_135,[]) ).

tff(f225,plain,
    ! [X0: $int] : ~ $less($to_int($to_rat($sum(X0,2))),3),
    inference(equality_resolution,[],[f188]) ).

tff(f188,plain,
    ! [X0: $int,X1: $rat] :
      ( ( $to_rat($sum(X0,2)) != X1 )
      | ~ $less($to_int(X1),3) ),
    inference(cnf_transformation,[],[f184]) ).

tff(f184,plain,
    ! [X0: $int,X1: $rat] :
      ( ( ~ $less(3.3,$to_real(X1))
        & ~ $less($to_int(X1),3) )
      | ( $to_rat($sum(X0,2)) != X1 ) ),
    inference(ennf_transformation,[],[f181]) ).

tff(f181,plain,
    ~ ? [X0: $int,X1: $rat] :
        ( ( $less(3.3,$to_real(X1))
          | $less($to_int(X1),3) )
        & ( $to_rat($sum(X0,2)) = X1 ) ),
    inference(rectify,[],[f103]) ).

tff(f103,plain,
    ~ ? [X0: $int,X1: $rat,X2] :
        ( ( $less(3.3,$to_real(X1))
          | $less($to_int(X1),3) )
        & ( $to_rat($sum(X0,2)) = X1 ) ),
    inference(theory_normalization,[],[f78]) ).

tff(f78,negated_conjecture,
    ~ ? [X0: $int,X1: $rat,X2: $real] :
        ( ( $greater($to_real(X1),3.3)
          | $less($to_int(X1),3) )
        & ( $to_rat($sum(X0,2)) = X1 ) ),
    inference(negated_conjecture,[],[f77]) ).

tff(f77,conjecture,
    ? [X0: $int,X1: $rat,X2: $real] :
      ( ( $greater($to_real(X1),3.3)
        | $less($to_int(X1),3) )
      & ( $to_rat($sum(X0,2)) = X1 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.P040LUoZI3/Vampire---4.8_11541',mixed) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYN000_5 : TPTP v8.1.2. Bugfixed v5.5.1.
% 0.03/0.15  % 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
% 0.16/0.36  % Computer : n016.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 18:01:11 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a TF0_THM_EQU_ARI problem
% 0.16/0.36  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.P040LUoZI3/Vampire---4.8_11541
% 0.61/0.79  % (11737)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  % (11740)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  % (11732)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  % (11734)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  % (11733)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  % (11735)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  % (11736)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  % (11738)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)
% 0.61/0.80  % (11735)Refutation not found, incomplete strategy% (11735)------------------------------
% 0.61/0.80  % (11735)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (11735)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (11735)Memory used [KB]: 1080
% 0.61/0.80  % (11735)Time elapsed: 0.004 s
% 0.61/0.80  % (11735)Instructions burned: 5 (million)
% 0.61/0.80  % (11735)------------------------------
% 0.61/0.80  % (11735)------------------------------
% 0.61/0.80  % (11738)First to succeed.
% 0.61/0.80  % (11733)Also succeeded, but the first one will report.
% 0.61/0.80  % (11738)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  % (11738)------------------------------
% 0.61/0.80  % (11738)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (11738)Termination reason: Refutation
% 0.61/0.80  
% 0.61/0.80  % (11738)Memory used [KB]: 1154
% 0.61/0.80  % (11738)Time elapsed: 0.008 s
% 0.61/0.80  % (11738)Instructions burned: 11 (million)
% 0.61/0.80  % (11738)------------------------------
% 0.61/0.80  % (11738)------------------------------
% 0.61/0.80  % (11709)Success in time 0.424 s
% 0.61/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------