TSTP Solution File: NUM290+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM290+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 : Sun May  5 08:09:13 EDT 2024

% Result   : Theorem 0.55s 0.74s
% Output   : Refutation 0.55s
% 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    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f461,plain,
    $false,
    inference(subsumption_resolution,[],[f460,f444]) ).

fof(f444,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.8JJhOnXOhO/Vampire---4.8_3664',rdn_positive_less23) ).

fof(f460,plain,
    ~ rdn_positive_less(rdnn(n2),rdnn(n3)),
    inference(resolution,[],[f459,f429]) ).

fof(f429,plain,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    file('/export/starexec/sandbox/tmp/tmp.8JJhOnXOhO/Vampire---4.8_3664',rdn2) ).

fof(f459,plain,
    ! [X0] :
      ( ~ rdn_translate(n2,rdn_pos(X0))
      | ~ rdn_positive_less(X0,rdnn(n3)) ),
    inference(resolution,[],[f447,f433]) ).

fof(f433,plain,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    file('/export/starexec/sandbox/tmp/tmp.8JJhOnXOhO/Vampire---4.8_3664',rdn3) ).

fof(f447,plain,
    ! [X0,X1] :
      ( ~ rdn_translate(n3,rdn_pos(X1))
      | ~ rdn_positive_less(X0,X1)
      | ~ rdn_translate(n2,rdn_pos(X0)) ),
    inference(resolution,[],[f428,f432]) ).

fof(f432,plain,
    ! [X2,X3,X0,X1] :
      ( less(X0,X1)
      | ~ rdn_positive_less(X2,X3)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_pos(X2)) ),
    inference(cnf_transformation,[],[f424]) ).

fof(f424,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_positive_less(X2,X3)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_pos(X2)) ),
    inference(flattening,[],[f423]) ).

fof(f423,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_positive_less(X2,X3)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_pos(X2)) ),
    inference(ennf_transformation,[],[f407]) ).

fof(f407,plain,
    ! [X0,X1,X2,X3] :
      ( ( rdn_positive_less(X2,X3)
        & rdn_translate(X1,rdn_pos(X3))
        & rdn_translate(X0,rdn_pos(X2)) )
     => less(X0,X1) ),
    inference(rectify,[],[f281]) ).

fof(f281,axiom,
    ! [X0,X1,X9,X10] :
      ( ( rdn_positive_less(X9,X10)
        & rdn_translate(X1,rdn_pos(X10))
        & rdn_translate(X0,rdn_pos(X9)) )
     => less(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8JJhOnXOhO/Vampire---4.8_3664',less_entry_point_pos_pos) ).

fof(f428,plain,
    ~ less(n2,n3),
    inference(cnf_transformation,[],[f404]) ).

fof(f404,plain,
    ~ less(n2,n3),
    inference(flattening,[],[f403]) ).

fof(f403,negated_conjecture,
    ~ less(n2,n3),
    inference(negated_conjecture,[],[f402]) ).

fof(f402,conjecture,
    less(n2,n3),
    file('/export/starexec/sandbox/tmp/tmp.8JJhOnXOhO/Vampire---4.8_3664',n2_less_n3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : NUM290+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.14  % 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
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 14:37:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  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.8JJhOnXOhO/Vampire---4.8_3664
% 0.55/0.74  % (3778)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)
% 0.55/0.74  % (3772)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)
% 0.55/0.74  % (3774)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74  % (3773)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)
% 0.55/0.74  % (3775)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)
% 0.55/0.74  % (3777)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)
% 0.55/0.74  % (3779)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)
% 0.55/0.74  % (3775)Refutation not found, incomplete strategy% (3775)------------------------------
% 0.55/0.74  % (3775)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (3775)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  % (3777)Refutation not found, incomplete strategy% (3777)------------------------------
% 0.55/0.74  % (3777)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (3777)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (3777)Memory used [KB]: 1271
% 0.55/0.74  % (3777)Time elapsed: 0.003 s
% 0.55/0.74  % (3777)Instructions burned: 4 (million)
% 0.55/0.74  
% 0.55/0.74  % (3775)Memory used [KB]: 1262
% 0.55/0.74  % (3775)Time elapsed: 0.004 s
% 0.55/0.74  % (3775)Instructions burned: 4 (million)
% 0.55/0.74  % (3772)Refutation not found, incomplete strategy% (3772)------------------------------
% 0.55/0.74  % (3772)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (3772)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (3772)Memory used [KB]: 1282
% 0.55/0.74  % (3772)Time elapsed: 0.004 s
% 0.55/0.74  % (3772)Instructions burned: 5 (million)
% 0.55/0.74  % (3777)------------------------------
% 0.55/0.74  % (3777)------------------------------
% 0.55/0.74  % (3775)------------------------------
% 0.55/0.74  % (3775)------------------------------
% 0.55/0.74  % (3772)------------------------------
% 0.55/0.74  % (3772)------------------------------
% 0.55/0.74  % (3779)First to succeed.
% 0.55/0.74  % (3779)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3771"
% 0.55/0.74  % (3778)Also succeeded, but the first one will report.
% 0.55/0.74  % (3779)Refutation found. Thanks to Tanya!
% 0.55/0.74  % SZS status Theorem for Vampire---4
% 0.55/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.74  % (3779)------------------------------
% 0.55/0.74  % (3779)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (3779)Termination reason: Refutation
% 0.55/0.74  
% 0.55/0.74  % (3779)Memory used [KB]: 1282
% 0.55/0.74  % (3779)Time elapsed: 0.005 s
% 0.55/0.74  % (3779)Instructions burned: 4 (million)
% 0.55/0.74  % (3771)Success in time 0.382 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------