TSTP Solution File: NUM318+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM318+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n018.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 08:09:18 EDT 2024

% Result   : Theorem 0.62s 0.79s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (  10 unt;   1 typ;   0 def)
%            Number of atoms       :   78 (   0 equ)
%            Maximal formula atoms :    3 (   4 avg)
%            Number of connectives :   23 (  12   ~;   7   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   51 (  51 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   10 (   9 usr;   4 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   17 (  16   !;   0   ?;   5   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_11,type,
    sQ0_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f521,plain,
    $false,
    inference(subsumption_resolution,[],[f520,f511]) ).

tff(f511,plain,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    inference(cnf_transformation,[],[f6]) ).

tff(f6,axiom,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    file('/export/starexec/sandbox2/tmp/tmp.ciP3ozKYOR/Vampire---4.8_11365',rdn5) ).

tff(f520,plain,
    ~ rdn_translate(n5,rdn_pos(rdnn(n5))),
    inference(resolution,[],[f519,f512]) ).

tff(f512,plain,
    rdn_translate(nn5,rdn_neg(rdnn(n5))),
    inference(cnf_transformation,[],[f133]) ).

tff(f133,axiom,
    rdn_translate(nn5,rdn_neg(rdnn(n5))),
    file('/export/starexec/sandbox2/tmp/tmp.ciP3ozKYOR/Vampire---4.8_11365',rdnn5) ).

tff(f519,plain,
    ! [X0: $i] :
      ( ~ rdn_translate(nn5,rdn_neg(X0))
      | ~ rdn_translate(n5,rdn_pos(X0)) ),
    inference(resolution,[],[f510,f504]) ).

tff(f504,plain,
    ~ sum(n5,nn5,n0),
    inference(cnf_transformation,[],[f404]) ).

tff(f404,plain,
    ~ sum(n5,nn5,n0),
    inference(flattening,[],[f403]) ).

tff(f403,negated_conjecture,
    ~ sum(n5,nn5,n0),
    inference(negated_conjecture,[],[f402]) ).

tff(f402,conjecture,
    sum(n5,nn5,n0),
    file('/export/starexec/sandbox2/tmp/tmp.ciP3ozKYOR/Vampire---4.8_11365',sum_n5_nn5_n0) ).

tff(f510,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( sum(X0,X1,n0)
      | ~ rdn_translate(X1,rdn_neg(X2))
      | ~ rdn_translate(X0,rdn_pos(X2)) ),
    inference(cnf_transformation,[],[f503]) ).

tff(f503,plain,
    ! [X0,X1,X2] :
      ( sum(X0,X1,n0)
      | ~ rdn_translate(X1,rdn_neg(X2))
      | ~ rdn_translate(X0,rdn_pos(X2)) ),
    inference(flattening,[],[f502]) ).

tff(f502,plain,
    ! [X0,X1,X2] :
      ( sum(X0,X1,n0)
      | ~ rdn_translate(X1,rdn_neg(X2))
      | ~ rdn_translate(X0,rdn_pos(X2)) ),
    inference(ennf_transformation,[],[f409]) ).

tff(f409,plain,
    ! [X0,X1,X2] :
      ( ( rdn_translate(X1,rdn_neg(X2))
        & rdn_translate(X0,rdn_pos(X2)) )
     => sum(X0,X1,n0) ),
    inference(rectify,[],[f291]) ).

tff(f291,axiom,
    ! [X12,X13,X9] :
      ( ( rdn_translate(X13,rdn_neg(X9))
        & rdn_translate(X12,rdn_pos(X9)) )
     => sum(X12,X13,n0) ),
    file('/export/starexec/sandbox2/tmp/tmp.ciP3ozKYOR/Vampire---4.8_11365',sum_entry_point_posx_negx) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15  % Problem    : NUM318+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.17  % 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
% 0.17/0.39  % Computer : n018.cluster.edu
% 0.17/0.39  % Model    : x86_64 x86_64
% 0.17/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39  % Memory   : 8042.1875MB
% 0.17/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39  % CPULimit   : 300
% 0.17/0.39  % WCLimit    : 300
% 0.17/0.39  % DateTime   : Fri May  3 15:07:08 EDT 2024
% 0.17/0.39  % CPUTime    : 
% 0.17/0.39  This is a FOF_THM_RFO_SEQ problem
% 0.17/0.39  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.ciP3ozKYOR/Vampire---4.8_11365
% 0.62/0.78  % (11481)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)
% 0.62/0.78  % (11474)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)
% 0.62/0.78  % (11479)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)
% 0.62/0.78  % (11478)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)
% 0.62/0.79  % (11474)First to succeed.
% 0.62/0.79  % (11480)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)
% 0.62/0.79  % (11475)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)
% 0.62/0.79  % (11479)Also succeeded, but the first one will report.
% 0.62/0.79  % (11474)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11473"
% 0.62/0.79  % (11481)Also succeeded, but the first one will report.
% 0.62/0.79  % (11474)Refutation found. Thanks to Tanya!
% 0.62/0.79  % SZS status Theorem for Vampire---4
% 0.62/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.79  % (11474)------------------------------
% 0.62/0.79  % (11474)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (11474)Termination reason: Refutation
% 0.62/0.79  
% 0.62/0.79  % (11474)Memory used [KB]: 1281
% 0.62/0.79  % (11474)Time elapsed: 0.005 s
% 0.62/0.79  % (11474)Instructions burned: 5 (million)
% 0.62/0.79  % (11473)Success in time 0.392 s
% 0.62/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------