TSTP Solution File: NUM304+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM304+1 : TPTP v8.2.0. 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 : n019.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 : Tue May 21 01:39:14 EDT 2024

% Result   : Theorem 0.58s 0.74s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   29 (  13 unt;   0 def)
%            Number of atoms       :   66 (  11 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   73 (  36   ~;  26   |;   7   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-1 aty)
%            Number of variables   :   47 (  45   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f714,plain,
    $false,
    inference(avatar_sat_refutation,[],[f593,f713]) ).

fof(f713,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f712]) ).

fof(f712,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f711,f658]) ).

fof(f658,plain,
    ! [X0] : rdn_translate(X0,n12),
    inference(superposition,[],[f599,f645]) ).

fof(f645,plain,
    ! [X0,X1] : X0 = X1,
    inference(superposition,[],[f540,f540]) ).

fof(f540,plain,
    ! [X0] : n12 = X0,
    inference(cnf_transformation,[],[f514]) ).

fof(f514,plain,
    ! [X0] : n12 = X0,
    inference(ennf_transformation,[],[f403]) ).

fof(f403,negated_conjecture,
    ~ ? [X0] : n12 != X0,
    inference(negated_conjecture,[],[f402]) ).

fof(f402,conjecture,
    ? [X0] : n12 != X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',something_not_n12) ).

fof(f599,plain,
    rdn_translate(n0,n12),
    inference(forward_demodulation,[],[f557,f540]) ).

fof(f557,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn0) ).

fof(f711,plain,
    ( ! [X0] : ~ rdn_translate(X0,n12)
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f710]) ).

fof(f710,plain,
    ( ! [X0] :
        ( ~ rdn_translate(X0,n12)
        | ~ rdn_translate(X0,n12) )
    | ~ spl0_2 ),
    inference(resolution,[],[f576,f589]) ).

fof(f589,plain,
    ( ! [X0,X1] :
        ( less(X0,X1)
        | ~ rdn_translate(X0,n12)
        | ~ rdn_translate(X1,n12) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f588,plain,
    ( spl0_2
  <=> ! [X0,X1] :
        ( ~ rdn_translate(X0,n12)
        | less(X0,X1)
        | ~ rdn_translate(X1,n12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f576,plain,
    ! [X1] : ~ less(X1,X1),
    inference(equality_resolution,[],[f546]) ).

fof(f546,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f539]) ).

fof(f539,plain,
    ! [X0,X1] :
      ( ( less(X0,X1)
        | X0 = X1
        | less(X1,X0) )
      & ( ( X0 != X1
          & ~ less(X1,X0) )
        | ~ less(X0,X1) ) ),
    inference(flattening,[],[f538]) ).

fof(f538,plain,
    ! [X0,X1] :
      ( ( less(X0,X1)
        | X0 = X1
        | less(X1,X0) )
      & ( ( X0 != X1
          & ~ less(X1,X0) )
        | ~ less(X0,X1) ) ),
    inference(nnf_transformation,[],[f284]) ).

fof(f284,axiom,
    ! [X0,X1] :
      ( less(X0,X1)
    <=> ( X0 != X1
        & ~ less(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).

fof(f593,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f592,f588]) ).

fof(f592,plain,
    ! [X0,X1] :
      ( ~ rdn_translate(X0,n12)
      | ~ rdn_translate(X1,n12)
      | less(X0,X1) ),
    inference(forward_demodulation,[],[f591,f540]) ).

fof(f591,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_translate(X1,n12)
      | less(X0,X1)
      | ~ rdn_translate(X0,rdn_neg(X2)) ),
    inference(forward_demodulation,[],[f553,f540]) ).

fof(f553,plain,
    ! [X2,X3,X0,X1] :
      ( less(X0,X1)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_neg(X2)) ),
    inference(cnf_transformation,[],[f532]) ).

fof(f532,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_neg(X2)) ),
    inference(flattening,[],[f531]) ).

fof(f531,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_neg(X2)) ),
    inference(ennf_transformation,[],[f410]) ).

fof(f410,plain,
    ! [X0,X1,X2,X3] :
      ( ( rdn_translate(X1,rdn_pos(X3))
        & rdn_translate(X0,rdn_neg(X2)) )
     => less(X0,X1) ),
    inference(rectify,[],[f282]) ).

fof(f282,axiom,
    ! [X0,X1,X9,X10] :
      ( ( rdn_translate(X1,rdn_pos(X10))
        & rdn_translate(X0,rdn_neg(X9)) )
     => less(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_neg_pos) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM304+1 : TPTP v8.2.0. Released v3.1.0.
% 0.03/0.14  % 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 : n019.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   : Mon May 20 03:52:53 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/benchmark/theBenchmark.p
% 0.58/0.73  % (22589)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 theBenchmark for (2996ds/83Mi)
% 0.58/0.73  % (22590)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.58/0.73  % (22583)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 theBenchmark for (2996ds/34Mi)
% 0.58/0.73  % (22585)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.58/0.73  % (22586)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.58/0.73  % (22584)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 theBenchmark for (2996ds/51Mi)
% 0.58/0.73  % (22587)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 theBenchmark for (2996ds/34Mi)
% 0.58/0.73  % (22588)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.58/0.73  % (22590)Refutation not found, incomplete strategy% (22590)------------------------------
% 0.58/0.73  % (22590)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.73  % (22590)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.73  
% 0.58/0.73  % (22590)Memory used [KB]: 1285
% 0.58/0.73  % (22590)Time elapsed: 0.002 s
% 0.58/0.73  % (22590)Instructions burned: 4 (million)
% 0.58/0.73  % (22590)------------------------------
% 0.58/0.73  % (22590)------------------------------
% 0.58/0.73  % (22586)Refutation not found, incomplete strategy% (22586)------------------------------
% 0.58/0.73  % (22586)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.73  % (22586)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.73  
% 0.58/0.73  % (22586)Memory used [KB]: 1285
% 0.58/0.73  % (22586)Time elapsed: 0.003 s
% 0.58/0.73  % (22586)Instructions burned: 4 (million)
% 0.58/0.73  % (22583)Refutation not found, incomplete strategy% (22583)------------------------------
% 0.58/0.73  % (22583)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.73  % (22583)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.73  
% 0.58/0.73  % (22583)Memory used [KB]: 1297
% 0.58/0.73  % (22583)Time elapsed: 0.004 s
% 0.58/0.73  % (22583)Instructions burned: 4 (million)
% 0.58/0.74  % (22586)------------------------------
% 0.58/0.74  % (22586)------------------------------
% 0.58/0.74  % (22583)------------------------------
% 0.58/0.74  % (22583)------------------------------
% 0.58/0.74  % (22585)First to succeed.
% 0.58/0.74  % (22585)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22582"
% 0.58/0.74  % (22593)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.58/0.74  % (22588)Also succeeded, but the first one will report.
% 0.58/0.74  % (22585)Refutation found. Thanks to Tanya!
% 0.58/0.74  % SZS status Theorem for theBenchmark
% 0.58/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 0.58/0.74  % (22585)------------------------------
% 0.58/0.74  % (22585)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (22585)Termination reason: Refutation
% 0.58/0.74  
% 0.58/0.74  % (22585)Memory used [KB]: 1346
% 0.58/0.74  % (22585)Time elapsed: 0.006 s
% 0.58/0.74  % (22585)Instructions burned: 8 (million)
% 0.58/0.74  % (22582)Success in time 0.38 s
% 0.58/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------