TSTP Solution File: NUM840+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM840+1 : TPTP v8.2.0. Released v4.1.0.
% 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 : n021.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 01:46:23 EDT 2024

% Result   : Theorem 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   40 (  11 unt;   0 def)
%            Number of atoms       :   77 (   9 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   67 (  30   ~;  28   |;   2   &)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   46 (  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f298,plain,
    $false,
    inference(avatar_sat_refutation,[],[f121,f128,f295]) ).

fof(f295,plain,
    ~ spl4_1,
    inference(avatar_contradiction_clause,[],[f294]) ).

fof(f294,plain,
    ( $false
    | ~ spl4_1 ),
    inference(subsumption_resolution,[],[f266,f101]) ).

fof(f101,plain,
    ! [X1] : ~ less(X1,X1),
    inference(equality_resolution,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | X0 != X1 ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X26,X27] :
      ( ~ less(X26,X27)
      | X26 != X27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).

fof(f266,plain,
    ( less(vplus(vd328,vd330),vplus(vd328,vd330))
    | ~ spl4_1 ),
    inference(unit_resulting_resolution,[],[f76,f129,f84]) ).

fof(f84,plain,
    ! [X2,X0,X1] :
      ( ~ less(X0,X1)
      | ~ less(X1,X2)
      | less(X0,X2) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1,X2] :
      ( less(X0,X2)
      | ~ less(X0,X1)
      | ~ less(X1,X2) ),
    inference(flattening,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( less(X0,X2)
      | ~ less(X0,X1)
      | ~ less(X1,X2) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( ( less(X0,X1)
        & less(X1,X2) )
     => less(X0,X2) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X11,X12,X13] :
      ( ( less(X11,X12)
        & less(X12,X13) )
     => less(X11,X13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).

fof(f129,plain,
    ( ! [X0] : less(vplus(vd329,X0),vplus(vd328,X0))
    | ~ spl4_1 ),
    inference(unit_resulting_resolution,[],[f116,f85]) ).

fof(f85,plain,
    ! [X2,X0,X1] :
      ( less(vplus(X0,X2),vplus(X1,X2))
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1,X2] :
      ( less(vplus(X0,X2),vplus(X1,X2))
      | ~ less(X0,X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( less(X0,X1)
     => less(vplus(X0,X2),vplus(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 0)') ).

fof(f116,plain,
    ( less(vd329,vd328)
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f114,plain,
    ( spl4_1
  <=> less(vd329,vd328) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f76,plain,
    less(vplus(vd328,vd330),vplus(vd329,vd330)),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    less(vplus(vd328,vd330),vplus(vd329,vd330)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(antec(conjunct2(conjunct2(204))), 335, 0)') ).

fof(f128,plain,
    ~ spl4_2,
    inference(avatar_contradiction_clause,[],[f127]) ).

fof(f127,plain,
    ( $false
    | ~ spl4_2 ),
    inference(subsumption_resolution,[],[f124,f101]) ).

fof(f124,plain,
    ( less(vplus(vd328,vd330),vplus(vd328,vd330))
    | ~ spl4_2 ),
    inference(superposition,[],[f76,f120]) ).

fof(f120,plain,
    ( vd328 = vd329
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f118]) ).

fof(f118,plain,
    ( spl4_2
  <=> vd328 = vd329 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f121,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f112,f118,f114]) ).

fof(f112,plain,
    ( vd328 = vd329
    | less(vd329,vd328) ),
    inference(resolution,[],[f109,f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( greater(X0,X1)
      | X0 = X1
      | less(X0,X1) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( less(X0,X1)
      | greater(X0,X1)
      | X0 = X1 ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X26,X27] :
      ( less(X26,X27)
      | greater(X26,X27)
      | X26 = X27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).

fof(f109,plain,
    ~ greater(vd329,vd328),
    inference(unit_resulting_resolution,[],[f73,f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | less(X1,X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( less(X1,X0)
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( greater(X0,X1)
     => less(X1,X0) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X24,X25] :
      ( greater(X24,X25)
     => less(X25,X24) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).

fof(f73,plain,
    ~ less(vd328,vd329),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ~ less(vd328,vd329),
    inference(flattening,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ less(vd328,vd329),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    less(vd328,vd329),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq(conjunct2(conjunct2(204))), 336, 0)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM840+1 : TPTP v8.2.0. Released v4.1.0.
% 0.07/0.14  % 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
% 0.14/0.35  % Computer : n021.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 06:11:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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/benchmark/theBenchmark.p
% 0.56/0.74  % (32517)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)
% 0.56/0.74  % (32523)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)
% 0.56/0.74  % (32519)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.74  % (32520)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)
% 0.56/0.74  % (32524)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)
% 0.56/0.74  % (32522)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)
% 0.56/0.74  % (32521)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)
% 0.56/0.74  % (32523)First to succeed.
% 0.56/0.74  % (32523)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32495"
% 0.56/0.74  % (32523)Refutation found. Thanks to Tanya!
% 0.56/0.74  % SZS status Theorem for theBenchmark
% 0.56/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.74  % (32523)------------------------------
% 0.56/0.74  % (32523)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (32523)Termination reason: Refutation
% 0.56/0.74  
% 0.56/0.74  % (32523)Memory used [KB]: 1091
% 0.56/0.74  % (32523)Time elapsed: 0.005 s
% 0.56/0.74  % (32523)Instructions burned: 10 (million)
% 0.56/0.74  % (32495)Success in time 0.382 s
% 0.56/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------