TSTP Solution File: FLD013-4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : FLD013-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : Wed May  1 02:19:36 EDT 2024

% Result   : Unsatisfiable 0.58s 0.81s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   25 (  15 unt;   0 def)
%            Number of atoms       :   45 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   44 (  24   ~;  18   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   46 (  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f189,plain,
    $false,
    inference(subsumption_resolution,[],[f183,f164]) ).

fof(f164,plain,
    sP1(b,b,c,d),
    inference(unit_resulting_resolution,[],[f53,f155,f38]) ).

fof(f38,plain,
    ! [X2,X0,X1,X4,X5] :
      ( sP1(X4,X0,X5,X1)
      | sum(X0,X1,X2)
      | ~ sum(X4,X5,X2) ),
    inference(cnf_transformation,[],[f38_D]) ).

fof(f38_D,plain,
    ! [X1,X5,X0,X4] :
      ( ! [X2] :
          ( sum(X0,X1,X2)
          | ~ sum(X4,X5,X2) )
    <=> ~ sP1(X4,X0,X5,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f155,plain,
    sum(b,c,u),
    inference(unit_resulting_resolution,[],[f44,f50,f36]) ).

fof(f36,plain,
    ! [X2,X0,X1,X4,X5] :
      ( sP0(X5,X4,X0,X1)
      | sum(X4,X5,X2)
      | ~ sum(X0,X1,X2) ),
    inference(cnf_transformation,[],[f36_D]) ).

fof(f36_D,plain,
    ! [X1,X0,X4,X5] :
      ( ! [X2] :
          ( sum(X4,X5,X2)
          | ~ sum(X0,X1,X2) )
    <=> ~ sP0(X5,X4,X0,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f50,plain,
    ~ sP0(c,b,additive_identity,u),
    inference(unit_resulting_resolution,[],[f32,f34,f37]) ).

fof(f37,plain,
    ! [X3,X0,X1,X4,X5] :
      ( ~ sP0(X5,X4,X0,X1)
      | ~ sum(X0,X3,X4)
      | ~ sum(X3,X5,X1) ),
    inference(general_splitting,[],[f2,f36_D]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sum(X0,X1,X2)
      | ~ sum(X3,X5,X1)
      | ~ sum(X0,X3,X4)
      | sum(X4,X5,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.XwhOrNLyOW/Vampire---4.8_29084',associativity_addition_2) ).

fof(f34,axiom,
    sum(a,c,u),
    file('/export/starexec/sandbox/tmp/tmp.XwhOrNLyOW/Vampire---4.8_29084',sum_8) ).

fof(f32,axiom,
    sum(additive_identity,a,b),
    file('/export/starexec/sandbox/tmp/tmp.XwhOrNLyOW/Vampire---4.8_29084',sum_6) ).

fof(f44,plain,
    sum(additive_identity,u,u),
    inference(unit_resulting_resolution,[],[f31,f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( sum(additive_identity,X0,X0)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.XwhOrNLyOW/Vampire---4.8_29084',existence_of_identity_addition) ).

fof(f31,axiom,
    defined(u),
    file('/export/starexec/sandbox/tmp/tmp.XwhOrNLyOW/Vampire---4.8_29084',u_is_defined) ).

fof(f53,plain,
    ~ sum(b,d,u),
    inference(unit_resulting_resolution,[],[f35,f5]) ).

fof(f5,axiom,
    ! [X3,X0,X5] :
      ( ~ sum(X0,X3,X5)
      | sum(X3,X0,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.XwhOrNLyOW/Vampire---4.8_29084',commutativity_addition) ).

fof(f35,axiom,
    ~ sum(d,b,u),
    file('/export/starexec/sandbox/tmp/tmp.XwhOrNLyOW/Vampire---4.8_29084',not_sum_9) ).

fof(f183,plain,
    ~ sP1(b,b,c,d),
    inference(unit_resulting_resolution,[],[f33,f101,f39]) ).

fof(f39,plain,
    ! [X3,X0,X1,X4,X5] :
      ( ~ sP1(X4,X0,X5,X1)
      | ~ sum(X0,X3,X4)
      | ~ sum(X3,X5,X1) ),
    inference(general_splitting,[],[f1,f38_D]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sum(X4,X5,X2)
      | ~ sum(X3,X5,X1)
      | ~ sum(X0,X3,X4)
      | sum(X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.XwhOrNLyOW/Vampire---4.8_29084',associativity_addition_1) ).

fof(f101,plain,
    sum(b,additive_identity,b),
    inference(unit_resulting_resolution,[],[f41,f5]) ).

fof(f41,plain,
    sum(additive_identity,b,b),
    inference(unit_resulting_resolution,[],[f28,f3]) ).

fof(f28,axiom,
    defined(b),
    file('/export/starexec/sandbox/tmp/tmp.XwhOrNLyOW/Vampire---4.8_29084',b_is_defined) ).

fof(f33,axiom,
    sum(additive_identity,c,d),
    file('/export/starexec/sandbox/tmp/tmp.XwhOrNLyOW/Vampire---4.8_29084',sum_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : FLD013-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.12  % 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
% 0.11/0.32  % Computer : n019.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 18:01:59 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.11/0.33  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.XwhOrNLyOW/Vampire---4.8_29084
% 0.58/0.81  % (29198)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)
% 0.58/0.81  % (29197)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)
% 0.58/0.81  % (29196)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.58/0.81  % (29194)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)
% 0.58/0.81  % (29199)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)
% 0.58/0.81  % (29200)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)
% 0.58/0.81  % (29201)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)
% 0.58/0.81  % (29195)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)
% 0.58/0.81  % (29200)First to succeed.
% 0.58/0.81  % (29197)Also succeeded, but the first one will report.
% 0.58/0.81  % (29200)Refutation found. Thanks to Tanya!
% 0.58/0.81  % SZS status Unsatisfiable for Vampire---4
% 0.58/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.81  % (29200)------------------------------
% 0.58/0.81  % (29200)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.81  % (29200)Termination reason: Refutation
% 0.58/0.81  
% 0.58/0.81  % (29200)Memory used [KB]: 1022
% 0.58/0.81  % (29200)Time elapsed: 0.004 s
% 0.58/0.81  % (29200)Instructions burned: 7 (million)
% 0.58/0.81  % (29200)------------------------------
% 0.58/0.81  % (29200)------------------------------
% 0.58/0.81  % (29191)Success in time 0.471 s
% 0.58/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------