%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM908_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 : n007.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 08:16:18 EDT 2024

% Result   : Theorem 0.57s 0.75s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   14 (  10 unt;   2 typ;   0 def)
%            Number of atoms       :   14 (  10 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   8   ~;   0   |;   0   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number arithmetic     :   40 (   0 atm;  20 fun;  11 num;   9 var)
%            Number of types       :    2 (   0 usr;   1 ari)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   1 usr;   2 con; 0-2 aty)
%            Number of variables   :    9 (   7   !;   2   ?;   9   :)

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

tff(pred_def_2,type,
    sQ1_eqProxy: ( $real * $real ) > $o ).

tff(f32,plain,
    $false,
    inference(subsumption_resolution,[],[f27,f22]) ).

tff(f22,plain,
    ! [X0: $real] : sQ1_eqProxy(0.0,$sum(X0,$uminus(X0))),
    inference(equality_proxy_replacement,[],[f8,f19]) ).

tff(f19,plain,
    ! [X0: $real,X1: $real] :
      ( sQ1_eqProxy(X0,X1)
    <=> ( X0 = X1 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ1_eqProxy])]) ).

tff(f8,plain,
    ! [X0: $real] : ( 0.0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_140,[]) ).

tff(f27,plain,
    ~ sQ1_eqProxy(0.0,$sum(sK0,$uminus(sK0))),
    inference(equality_proxy_replacement,[],[f18,f19]) ).

tff(f18,plain,
    0.0 != $sum(sK0,$uminus(sK0)),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    0.0 != $sum(sK0,$uminus(sK0)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).

tff(f16,plain,
    ( ? [X0: $real] : ( 0.0 != $sum(X0,$uminus(X0)) )
   => ( 0.0 != $sum(sK0,$uminus(sK0)) ) ),
    introduced(choice_axiom,[]) ).

tff(f15,plain,
    ? [X0: $real] : ( 0.0 != $sum(X0,$uminus(X0)) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ! [X0: $real] : ( 0.0 = $sum(X0,$uminus(X0)) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $real] : ( $difference(X0,X0) = 0.0 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $real] : ( $difference(X0,X0) = 0.0 ),
    file('/export/starexec/sandbox/tmp/tmp.jDzC6u9RRX/Vampire---4.8_15191',real_difference_problem_12) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : NUM908_1 : TPTP v8.1.2. Released v5.0.0.
% 0.05/0.12  % 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
% 0.11/0.32  % Computer : n007.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 14:08:22 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a TF0_THM_EQU_ARI problem
% 0.11/0.32  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.jDzC6u9RRX/Vampire---4.8_15191
% 0.57/0.75  % (15299)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)
% 0.57/0.75  % (15302)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)
% 0.57/0.75  % (15300)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)
% 0.57/0.75  % (15303)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)
% 0.57/0.75  % (15301)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.57/0.75  % (15305)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)
% 0.57/0.75  % (15306)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)
% 0.57/0.75  % (15304)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)
% 0.57/0.75  % (15305)Also succeeded, but the first one will report.
% 0.57/0.75  % (15304)Also succeeded, but the first one will report.
% 0.57/0.75  % (15299)Also succeeded, but the first one will report.
% 0.57/0.75  % (15303)First to succeed.
% 0.57/0.75  % (15302)Also succeeded, but the first one will report.
% 0.57/0.75  % (15300)Also succeeded, but the first one will report.
% 0.57/0.75  % (15303)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15298"
% 0.57/0.75  % (15301)Also succeeded, but the first one will report.
% 0.57/0.75  % (15306)Also succeeded, but the first one will report.
% 0.57/0.75  % (15303)Refutation found. Thanks to Tanya!
% 0.57/0.75  % SZS status Theorem for Vampire---4
% 0.57/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75  % (15303)------------------------------
% 0.57/0.75  % (15303)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (15303)Termination reason: Refutation
% 0.57/0.75  
% 0.57/0.75  % (15303)Memory used [KB]: 959
% 0.57/0.75  % (15303)Time elapsed: 0.003 s
% 0.57/0.75  % (15303)Instructions burned: 2 (million)
% 0.57/0.75  % (15298)Success in time 0.424 s
% 0.57/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------