TSTP Solution File: NUM297+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM297+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 : n009.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 : Wed May  1 03:28:22 EDT 2024

% Result   : Theorem 0.65s 0.82s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   27 (  15 unt;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   54 (  27   ~;  19   |;   5   &)
%                                         (   0 <=>;   3  =>;   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    :    7 (   7 usr;   5 con; 0-1 aty)
%            Number of variables   :   36 (  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f474,plain,
    $false,
    inference(subsumption_resolution,[],[f471,f451]) ).

fof(f451,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.CsNerK3S1i/Vampire---4.8_3890',rdn_positive_less23) ).

fof(f471,plain,
    ~ rdn_positive_less(rdnn(n2),rdnn(n3)),
    inference(resolution,[],[f469,f450]) ).

fof(f450,plain,
    rdn_positive_less(rdnn(n3),rdnn(n4)),
    inference(cnf_transformation,[],[f269]) ).

fof(f269,axiom,
    rdn_positive_less(rdnn(n3),rdnn(n4)),
    file('/export/starexec/sandbox/tmp/tmp.CsNerK3S1i/Vampire---4.8_3890',rdn_positive_less34) ).

fof(f469,plain,
    ! [X0] :
      ( ~ rdn_positive_less(rdnn(X0),rdnn(n4))
      | ~ rdn_positive_less(rdnn(n2),rdnn(X0)) ),
    inference(resolution,[],[f468,f444]) ).

fof(f444,plain,
    ! [X2,X0,X1] :
      ( rdn_positive_less(rdnn(X0),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X1),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
    inference(cnf_transformation,[],[f436]) ).

fof(f436,plain,
    ! [X0,X1,X2] :
      ( rdn_positive_less(rdnn(X0),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X1),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
    inference(flattening,[],[f435]) ).

fof(f435,plain,
    ! [X0,X1,X2] :
      ( rdn_positive_less(rdnn(X0),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X1),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
    inference(ennf_transformation,[],[f275]) ).

fof(f275,axiom,
    ! [X0,X1,X2] :
      ( ( rdn_positive_less(rdnn(X1),rdnn(X2))
        & rdn_positive_less(rdnn(X0),rdnn(X1)) )
     => rdn_positive_less(rdnn(X0),rdnn(X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.CsNerK3S1i/Vampire---4.8_3890',rdn_positive_less_transitivity) ).

fof(f468,plain,
    ~ rdn_positive_less(rdnn(n2),rdnn(n4)),
    inference(resolution,[],[f467,f441]) ).

fof(f441,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.CsNerK3S1i/Vampire---4.8_3890',rdnn2) ).

fof(f467,plain,
    ! [X0] :
      ( ~ rdn_translate(nn2,rdn_neg(X0))
      | ~ rdn_positive_less(X0,rdnn(n4)) ),
    inference(resolution,[],[f459,f442]) ).

fof(f442,plain,
    rdn_translate(nn4,rdn_neg(rdnn(n4))),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,axiom,
    rdn_translate(nn4,rdn_neg(rdnn(n4))),
    file('/export/starexec/sandbox/tmp/tmp.CsNerK3S1i/Vampire---4.8_3890',rdnn4) ).

fof(f459,plain,
    ! [X0,X1] :
      ( ~ rdn_translate(nn4,rdn_neg(X1))
      | ~ rdn_translate(nn2,rdn_neg(X0))
      | ~ rdn_positive_less(X0,X1) ),
    inference(resolution,[],[f437,f438]) ).

fof(f438,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,[],[f429]) ).

fof(f429,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,[],[f428]) ).

fof(f428,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,[],[f405]) ).

fof(f405,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.CsNerK3S1i/Vampire---4.8_3890',less_entry_point_neg_neg) ).

fof(f437,plain,
    ~ less(nn4,nn2),
    inference(cnf_transformation,[],[f404]) ).

fof(f404,plain,
    ~ less(nn4,nn2),
    inference(flattening,[],[f403]) ).

fof(f403,negated_conjecture,
    ~ less(nn4,nn2),
    inference(negated_conjecture,[],[f402]) ).

fof(f402,conjecture,
    less(nn4,nn2),
    file('/export/starexec/sandbox/tmp/tmp.CsNerK3S1i/Vampire---4.8_3890',nn4_less_nn2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : NUM297+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.11  % 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
% 0.11/0.31  % Computer : n009.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Apr 30 16:52:55 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.11/0.31  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.31  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.CsNerK3S1i/Vampire---4.8_3890
% 0.65/0.81  % (4032)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)
% 0.65/0.81  % (4035)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)
% 0.65/0.81  % (4034)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.65/0.81  % (4036)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)
% 0.65/0.81  % (4037)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)
% 0.65/0.81  % (4033)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)
% 0.65/0.81  % (4038)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)
% 0.65/0.81  % (4039)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)
% 0.65/0.82  % (4035)Refutation not found, incomplete strategy% (4035)------------------------------
% 0.65/0.82  % (4035)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82  % (4035)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82  
% 0.65/0.82  % (4035)Memory used [KB]: 1261
% 0.65/0.82  % (4035)Time elapsed: 0.003 s
% 0.65/0.82  % (4035)Instructions burned: 4 (million)
% 0.65/0.82  % (4035)------------------------------
% 0.65/0.82  % (4035)------------------------------
% 0.65/0.82  % (4032)Refutation not found, incomplete strategy% (4032)------------------------------
% 0.65/0.82  % (4032)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82  % (4032)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82  
% 0.65/0.82  % (4032)Memory used [KB]: 1275
% 0.65/0.82  % (4032)Time elapsed: 0.004 s
% 0.65/0.82  % (4032)Instructions burned: 4 (million)
% 0.65/0.82  % (4032)------------------------------
% 0.65/0.82  % (4032)------------------------------
% 0.65/0.82  % (4039)First to succeed.
% 0.65/0.82  % (4039)Refutation found. Thanks to Tanya!
% 0.65/0.82  % SZS status Theorem for Vampire---4
% 0.65/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.82  % (4039)------------------------------
% 0.65/0.82  % (4039)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82  % (4039)Termination reason: Refutation
% 0.65/0.82  
% 0.65/0.82  % (4039)Memory used [KB]: 1289
% 0.65/0.82  % (4039)Time elapsed: 0.004 s
% 0.65/0.82  % (4039)Instructions burned: 5 (million)
% 0.65/0.82  % (4039)------------------------------
% 0.65/0.82  % (4039)------------------------------
% 0.65/0.82  % (4000)Success in time 0.498 s
% 0.65/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------