TSTP Solution File: NUM326+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM326+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 : n015.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 08:09:19 EDT 2024

% Result   : Theorem 0.54s 0.77s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (  10 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   23 (  12   ~;   7   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-1 aty)
%            Number of variables   :   22 (  20   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f484,plain,
    $false,
    inference(resolution,[],[f483,f468]) ).

fof(f468,plain,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    file('/export/starexec/sandbox2/tmp/tmp.hj4ihNU5eu/Vampire---4.8_29072',rdn5) ).

fof(f483,plain,
    ! [X0] : ~ rdn_translate(X0,rdn_pos(rdnn(n5))),
    inference(resolution,[],[f474,f466]) ).

fof(f466,plain,
    rdn_translate(nn5,rdn_neg(rdnn(n5))),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,axiom,
    rdn_translate(nn5,rdn_neg(rdnn(n5))),
    file('/export/starexec/sandbox2/tmp/tmp.hj4ihNU5eu/Vampire---4.8_29072',rdnn5) ).

fof(f474,plain,
    ! [X0,X1] :
      ( ~ rdn_translate(nn5,rdn_neg(X0))
      | ~ rdn_translate(X1,rdn_pos(X0)) ),
    inference(resolution,[],[f462,f465]) ).

fof(f465,plain,
    ! [X2,X0,X1] :
      ( sum(X0,X1,n0)
      | ~ rdn_translate(X1,rdn_neg(X2))
      | ~ rdn_translate(X0,rdn_pos(X2)) ),
    inference(cnf_transformation,[],[f461]) ).

fof(f461,plain,
    ! [X0,X1,X2] :
      ( sum(X0,X1,n0)
      | ~ rdn_translate(X1,rdn_neg(X2))
      | ~ rdn_translate(X0,rdn_pos(X2)) ),
    inference(flattening,[],[f460]) ).

fof(f460,plain,
    ! [X0,X1,X2] :
      ( sum(X0,X1,n0)
      | ~ rdn_translate(X1,rdn_neg(X2))
      | ~ rdn_translate(X0,rdn_pos(X2)) ),
    inference(ennf_transformation,[],[f405]) ).

fof(f405,plain,
    ! [X0,X1,X2] :
      ( ( rdn_translate(X1,rdn_neg(X2))
        & rdn_translate(X0,rdn_pos(X2)) )
     => sum(X0,X1,n0) ),
    inference(rectify,[],[f291]) ).

fof(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.hj4ihNU5eu/Vampire---4.8_29072',sum_entry_point_posx_negx) ).

fof(f462,plain,
    ! [X0] : ~ sum(X0,nn5,n0),
    inference(cnf_transformation,[],[f457]) ).

fof(f457,plain,
    ! [X0] : ~ sum(X0,nn5,n0),
    inference(ennf_transformation,[],[f403]) ).

fof(f403,negated_conjecture,
    ~ ? [X0] : sum(X0,nn5,n0),
    inference(negated_conjecture,[],[f402]) ).

fof(f402,conjecture,
    ? [X0] : sum(X0,nn5,n0),
    file('/export/starexec/sandbox2/tmp/tmp.hj4ihNU5eu/Vampire---4.8_29072',sum_what_nn5_n0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14  % Problem    : NUM326+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.16  % 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
% 0.15/0.38  % Computer : n015.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit   : 300
% 0.15/0.38  % WCLimit    : 300
% 0.15/0.38  % DateTime   : Fri May  3 14:40:23 EDT 2024
% 0.15/0.38  % CPUTime    : 
% 0.15/0.38  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.38  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.hj4ihNU5eu/Vampire---4.8_29072
% 0.54/0.77  % (29185)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)
% 0.54/0.77  % (29180)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)
% 0.54/0.77  % (29181)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)
% 0.54/0.77  % (29183)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)
% 0.54/0.77  % (29185)First to succeed.
% 0.54/0.77  % (29185)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29179"
% 0.54/0.77  % (29185)Refutation found. Thanks to Tanya!
% 0.54/0.77  % SZS status Theorem for Vampire---4
% 0.54/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.77  % (29185)------------------------------
% 0.54/0.77  % (29185)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.77  % (29185)Termination reason: Refutation
% 0.54/0.77  
% 0.54/0.77  % (29185)Memory used [KB]: 1291
% 0.54/0.77  % (29185)Time elapsed: 0.003 s
% 0.54/0.77  % (29185)Instructions burned: 4 (million)
% 0.54/0.77  % (29179)Success in time 0.384 s
% 0.54/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------