TSTP Solution File: ARI273_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI273_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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n011.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 04:33:16 EDT 2024

% Result   : Theorem 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (  11 unt;   1 typ;   0 def)
%            Number of atoms       :   13 (   7 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   6   ~;   0   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of FOOLs       :    2 (   2 fml;   0 var)
%            Number arithmetic     :   39 (   0 atm;  14 fun;  20 num;   5 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    :    6 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_2,type,
    sQ0_eqProxy: ( $rat * $rat ) > $o ).

tff(f26,plain,
    $false,
    inference(subsumption_resolution,[],[f25,f24]) ).

tff(f24,plain,
    ! [X0: $rat] : sQ0_eqProxy(X0,X0),
    inference(evaluation,[],[f22]) ).

tff(f22,plain,
    ! [X0: $rat] : sQ0_eqProxy($uminus($uminus(X0)),X0),
    inference(equality_proxy_replacement,[],[f14,f17]) ).

tff(f17,plain,
    ! [X0: $rat,X1: $rat] :
      ( sQ0_eqProxy(X0,X1)
    <=> ( X0 = X1 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

tff(f14,plain,
    ! [X0: $rat] : ( $uminus($uminus(X0)) = X0 ),
    introduced(theory_axiom_148,[]) ).

tff(f25,plain,
    ~ sQ0_eqProxy(1/2,1/2),
    inference(evaluation,[],[f18]) ).

tff(f18,plain,
    ~ sQ0_eqProxy(1/2,$sum(7/8,$uminus(3/8))),
    inference(equality_proxy_replacement,[],[f16,f17]) ).

tff(f16,plain,
    1/2 != $sum(7/8,$uminus(3/8)),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,plain,
    1/2 != $sum(7/8,$uminus(3/8)),
    inference(flattening,[],[f3]) ).

tff(f3,plain,
    ( ~ 1/2 = $sum(7/8,$uminus(3/8)) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ( ~ $difference(7/8,3/8) = 1/2 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    $difference(7/8,3/8) = 1/2,
    file('/export/starexec/sandbox2/tmp/tmp.Ht8pddqunK/Vampire---4.8_32479',rat_difference_problem_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ARI273_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.15  % 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 : n011.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   : Fri May  3 21:48:53 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.Ht8pddqunK/Vampire---4.8_32479
% 0.56/0.75  % (350)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)
% 0.56/0.75  % (350)First to succeed.
% 0.56/0.75  % (350)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32664"
% 0.56/0.75  % (342)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)
% 0.56/0.75  % (344)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75  % (345)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)
% 0.56/0.75  % (347)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)
% 0.56/0.75  % (348)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)
% 0.56/0.75  % (343)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)
% 0.56/0.75  % (349)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)
% 0.56/0.75  % (345)Also succeeded, but the first one will report.
% 0.56/0.75  % (344)Also succeeded, but the first one will report.
% 0.56/0.75  % (350)Refutation found. Thanks to Tanya!
% 0.56/0.75  % SZS status Theorem for Vampire---4
% 0.56/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75  % (350)------------------------------
% 0.56/0.75  % (350)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (350)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (350)Memory used [KB]: 958
% 0.56/0.75  % (350)Time elapsed: 0.002 s
% 0.56/0.75  % (350)Instructions burned: 2 (million)
% 0.56/0.75  % (32664)Success in time 0.381 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------