TSTP Solution File: NUM301+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM301+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n008.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 08:09:15 EDT 2024

% Result   : Theorem 0.59s 0.77s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (  12 unt;   0 def)
%            Number of atoms       :   37 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   36 (  18   ~;  12   |;   4   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :   30 (  28   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f906,plain,
    $false,
    inference(resolution,[],[f903,f605]) ).

fof(f605,plain,
    rdn_translate(nn3,rdn_neg(rdnn(n3))),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,axiom,
    rdn_translate(nn3,rdn_neg(rdnn(n3))),
    file('/export/starexec/sandbox/tmp/tmp.4CtSSOhz7k/Vampire---4.8_24284',rdnn3) ).

fof(f903,plain,
    ! [X0] : ~ rdn_translate(X0,rdn_neg(rdnn(n3))),
    inference(resolution,[],[f902,f742]) ).

fof(f742,plain,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    inference(cnf_transformation,[],[f268]) ).

fof(f268,axiom,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    file('/export/starexec/sandbox/tmp/tmp.4CtSSOhz7k/Vampire---4.8_24284',rdn_positive_less23) ).

fof(f902,plain,
    ! [X0,X1] :
      ( ~ rdn_positive_less(rdnn(n2),X0)
      | ~ rdn_translate(X1,rdn_neg(X0)) ),
    inference(resolution,[],[f892,f604]) ).

fof(f604,plain,
    rdn_translate(nn2,rdn_neg(rdnn(n2))),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,axiom,
    rdn_translate(nn2,rdn_neg(rdnn(n2))),
    file('/export/starexec/sandbox/tmp/tmp.4CtSSOhz7k/Vampire---4.8_24284',rdnn2) ).

fof(f892,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_translate(nn2,rdn_neg(X1))
      | ~ rdn_positive_less(X1,X2)
      | ~ rdn_translate(X0,rdn_neg(X2)) ),
    inference(resolution,[],[f879,f757]) ).

fof(f757,plain,
    ! [X2,X3,X0,X1] :
      ( less(X0,X1)
      | ~ rdn_positive_less(X3,X2)
      | ~ rdn_translate(X1,rdn_neg(X3))
      | ~ rdn_translate(X0,rdn_neg(X2)) ),
    inference(cnf_transformation,[],[f439]) ).

fof(f439,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_positive_less(X3,X2)
      | ~ rdn_translate(X1,rdn_neg(X3))
      | ~ rdn_translate(X0,rdn_neg(X2)) ),
    inference(flattening,[],[f438]) ).

fof(f438,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_positive_less(X3,X2)
      | ~ rdn_translate(X1,rdn_neg(X3))
      | ~ rdn_translate(X0,rdn_neg(X2)) ),
    inference(ennf_transformation,[],[f410]) ).

fof(f410,plain,
    ! [X0,X1,X2,X3] :
      ( ( rdn_positive_less(X3,X2)
        & rdn_translate(X1,rdn_neg(X3))
        & rdn_translate(X0,rdn_neg(X2)) )
     => less(X0,X1) ),
    inference(rectify,[],[f283]) ).

fof(f283,axiom,
    ! [X0,X1,X9,X10] :
      ( ( rdn_positive_less(X10,X9)
        & rdn_translate(X1,rdn_neg(X10))
        & rdn_translate(X0,rdn_neg(X9)) )
     => less(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.4CtSSOhz7k/Vampire---4.8_24284',less_entry_point_neg_neg) ).

fof(f879,plain,
    ! [X0] : ~ less(X0,nn2),
    inference(cnf_transformation,[],[f471]) ).

fof(f471,plain,
    ! [X0] : ~ less(X0,nn2),
    inference(ennf_transformation,[],[f403]) ).

fof(f403,negated_conjecture,
    ~ ? [X0] : less(X0,nn2),
    inference(negated_conjecture,[],[f402]) ).

fof(f402,conjecture,
    ? [X0] : less(X0,nn2),
    file('/export/starexec/sandbox/tmp/tmp.4CtSSOhz7k/Vampire---4.8_24284',something_less_nn2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : NUM301+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.15  % 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
% 0.16/0.36  % Computer : n008.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 15:28:08 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  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.4CtSSOhz7k/Vampire---4.8_24284
% 0.59/0.76  % (24668)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)
% 0.59/0.76  % (24660)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)
% 0.59/0.76  % (24662)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.76  % (24661)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)
% 0.59/0.76  % (24663)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)
% 0.59/0.76  % (24664)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)
% 0.59/0.76  % (24666)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)
% 0.59/0.76  % (24667)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)
% 0.59/0.76  % (24663)Refutation not found, incomplete strategy% (24663)------------------------------
% 0.59/0.76  % (24663)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (24663)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (24663)Memory used [KB]: 1261
% 0.59/0.76  % (24663)Time elapsed: 0.003 s
% 0.59/0.76  % (24663)Instructions burned: 3 (million)
% 0.59/0.77  % (24660)Refutation not found, incomplete strategy% (24660)------------------------------
% 0.59/0.77  % (24660)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (24666)Refutation not found, incomplete strategy% (24666)------------------------------
% 0.59/0.77  % (24666)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (24660)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (24660)Memory used [KB]: 1275
% 0.59/0.77  % (24660)Time elapsed: 0.004 s
% 0.59/0.77  % (24660)Instructions burned: 4 (million)
% 0.59/0.77  % (24666)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (24666)Memory used [KB]: 1272
% 0.59/0.77  % (24666)Time elapsed: 0.004 s
% 0.59/0.77  % (24666)Instructions burned: 4 (million)
% 0.59/0.77  % (24663)------------------------------
% 0.59/0.77  % (24663)------------------------------
% 0.59/0.77  % (24660)------------------------------
% 0.59/0.77  % (24660)------------------------------
% 0.59/0.77  % (24666)------------------------------
% 0.59/0.77  % (24666)------------------------------
% 0.59/0.77  % (24672)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.59/0.77  % (24673)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.59/0.77  % (24674)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.59/0.77  % (24672)Refutation not found, incomplete strategy% (24672)------------------------------
% 0.59/0.77  % (24672)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (24672)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (24672)Memory used [KB]: 1259
% 0.59/0.77  % (24672)Time elapsed: 0.004 s
% 0.59/0.77  % (24672)Instructions burned: 3 (million)
% 0.59/0.77  % (24672)------------------------------
% 0.59/0.77  % (24672)------------------------------
% 0.59/0.77  % (24664)First to succeed.
% 0.59/0.77  % (24674)Refutation not found, incomplete strategy% (24674)------------------------------
% 0.59/0.77  % (24674)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (24674)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (24674)Memory used [KB]: 1274
% 0.59/0.77  % (24674)Time elapsed: 0.004 s
% 0.59/0.77  % (24674)Instructions burned: 4 (million)
% 0.59/0.77  % (24664)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24527"
% 0.59/0.77  % (24674)------------------------------
% 0.59/0.77  % (24674)------------------------------
% 0.59/0.77  % (24667)Refutation not found, incomplete strategy% (24667)------------------------------
% 0.59/0.77  % (24667)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (24667)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (24667)Memory used [KB]: 1399
% 0.59/0.77  % (24667)Time elapsed: 0.012 s
% 0.59/0.77  % (24667)Instructions burned: 20 (million)
% 0.59/0.77  % (24667)------------------------------
% 0.59/0.77  % (24667)------------------------------
% 0.59/0.77  % (24664)Refutation found. Thanks to Tanya!
% 0.59/0.77  % SZS status Theorem for Vampire---4
% 0.59/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.77  % (24664)------------------------------
% 0.59/0.77  % (24664)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (24664)Termination reason: Refutation
% 0.59/0.77  
% 0.59/0.77  % (24664)Memory used [KB]: 1444
% 0.59/0.77  % (24664)Time elapsed: 0.011 s
% 0.59/0.77  % (24664)Instructions burned: 23 (million)
% 0.59/0.77  % (24527)Success in time 0.397 s
% 0.59/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------