TSTP Solution File: MGT048+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : MGT048+1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n014.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 07:56:51 EDT 2024

% Result   : Theorem 0.58s 0.75s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   32 (   9 unt;   0 def)
%            Number of atoms       :  102 (  21 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  105 (  35   ~;  29   |;  24   &)
%                                         (   1 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   69 (  63   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f137,plain,
    $false,
    inference(resolution,[],[f99,f43]) ).

fof(f43,plain,
    ! [X1] : smaller_or_equal(X1,X1),
    inference(equality_resolution,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( X0 != X1
      | smaller_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( smaller_or_equal(X0,X1)
      | ( X0 != X1
        & ~ smaller(X0,X1) ) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | smaller(X0,X1) )
     => smaller_or_equal(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( smaller_or_equal(X0,X1)
    <=> ( X0 = X1
        | smaller(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.E1Mhpnrl5M/Vampire---4.8_21151',definition_smaller_or_equal) ).

fof(f99,plain,
    ! [X0] : ~ smaller_or_equal(stock_of_knowledge(sK0,X0),stock_of_knowledge(sK0,sK1)),
    inference(superposition,[],[f61,f44]) ).

fof(f44,plain,
    ! [X0,X1] : stock_of_knowledge(sK0,X0) = stock_of_knowledge(sK0,X1),
    inference(unit_resulting_resolution,[],[f28,f40]) ).

fof(f40,plain,
    ! [X2,X0,X1] :
      ( ~ organization(X0)
      | stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1,X2] :
      ( stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1)
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1,X2] :
      ( organization(X0)
     => stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X3,X4] :
      ( organization(X0)
     => stock_of_knowledge(X0,X4) = stock_of_knowledge(X0,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.E1Mhpnrl5M/Vampire---4.8_21151',assumption_10) ).

fof(f28,plain,
    organization(sK0),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ? [X0,X1,X2] :
      ( ~ smaller(capability(X0,X2),capability(X0,X1))
      & greater(age(X0,X2),age(X0,X1))
      & organization(X0) ),
    inference(flattening,[],[f17]) ).

fof(f17,plain,
    ? [X0,X1,X2] :
      ( ~ smaller(capability(X0,X2),capability(X0,X1))
      & greater(age(X0,X2),age(X0,X1))
      & organization(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,plain,
    ~ ! [X0,X1,X2] :
        ( ( greater(age(X0,X2),age(X0,X1))
          & organization(X0) )
       => smaller(capability(X0,X2),capability(X0,X1)) ),
    inference(rectify,[],[f11]) ).

fof(f11,negated_conjecture,
    ~ ! [X0,X3,X4] :
        ( ( greater(age(X0,X4),age(X0,X3))
          & organization(X0) )
       => smaller(capability(X0,X4),capability(X0,X3)) ),
    inference(negated_conjecture,[],[f10]) ).

fof(f10,conjecture,
    ! [X0,X3,X4] :
      ( ( greater(age(X0,X4),age(X0,X3))
        & organization(X0) )
     => smaller(capability(X0,X4),capability(X0,X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.E1Mhpnrl5M/Vampire---4.8_21151',lemma_5) ).

fof(f61,plain,
    ~ smaller_or_equal(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1)),
    inference(unit_resulting_resolution,[],[f28,f30,f48,f35]) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
      | ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
      | ~ organization(X0)
      | smaller(capability(X0,X2),capability(X0,X1)) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( ( ( capability(X0,X2) = capability(X0,X1)
          | internal_friction(X0,X2) != internal_friction(X0,X1)
          | stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1) )
        & ( smaller(capability(X0,X2),capability(X0,X1))
          | ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
          | ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
        & ( greater(capability(X0,X2),capability(X0,X1))
          | ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
          | ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) ) )
      | ~ organization(X0) ),
    inference(flattening,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( ( ( capability(X0,X2) = capability(X0,X1)
          | internal_friction(X0,X2) != internal_friction(X0,X1)
          | stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1) )
        & ( smaller(capability(X0,X2),capability(X0,X1))
          | ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
          | ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
        & ( greater(capability(X0,X2),capability(X0,X1))
          | ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
          | ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) ) )
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0,X1,X2] :
      ( organization(X0)
     => ( ( ( internal_friction(X0,X2) = internal_friction(X0,X1)
            & stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1) )
         => capability(X0,X2) = capability(X0,X1) )
        & ( ( greater(internal_friction(X0,X2),internal_friction(X0,X1))
            & smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
         => smaller(capability(X0,X2),capability(X0,X1)) )
        & ( ( smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
            & greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
         => greater(capability(X0,X2),capability(X0,X1)) ) ) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X3,X4] :
      ( organization(X0)
     => ( ( ( internal_friction(X0,X4) = internal_friction(X0,X3)
            & stock_of_knowledge(X0,X4) = stock_of_knowledge(X0,X3) )
         => capability(X0,X4) = capability(X0,X3) )
        & ( ( greater(internal_friction(X0,X4),internal_friction(X0,X3))
            & smaller_or_equal(stock_of_knowledge(X0,X4),stock_of_knowledge(X0,X3)) )
         => smaller(capability(X0,X4),capability(X0,X3)) )
        & ( ( smaller_or_equal(internal_friction(X0,X4),internal_friction(X0,X3))
            & greater(stock_of_knowledge(X0,X4),stock_of_knowledge(X0,X3)) )
         => greater(capability(X0,X4),capability(X0,X3)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.E1Mhpnrl5M/Vampire---4.8_21151',assumption_5) ).

fof(f48,plain,
    greater(internal_friction(sK0,sK2),internal_friction(sK0,sK1)),
    inference(unit_resulting_resolution,[],[f28,f29,f37]) ).

fof(f37,plain,
    ! [X2,X0,X1] :
      ( ~ greater(age(X0,X2),age(X0,X1))
      | ~ organization(X0)
      | greater(internal_friction(X0,X2),internal_friction(X0,X1)) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( greater(internal_friction(X0,X2),internal_friction(X0,X1))
      | ~ greater(age(X0,X2),age(X0,X1))
      | ~ organization(X0) ),
    inference(flattening,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( greater(internal_friction(X0,X2),internal_friction(X0,X1))
      | ~ greater(age(X0,X2),age(X0,X1))
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1,X2] :
      ( ( greater(age(X0,X2),age(X0,X1))
        & organization(X0) )
     => greater(internal_friction(X0,X2),internal_friction(X0,X1)) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X3,X4] :
      ( ( greater(age(X0,X4),age(X0,X3))
        & organization(X0) )
     => greater(internal_friction(X0,X4),internal_friction(X0,X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.E1Mhpnrl5M/Vampire---4.8_21151',assumption_12) ).

fof(f29,plain,
    greater(age(sK0,sK2),age(sK0,sK1)),
    inference(cnf_transformation,[],[f18]) ).

fof(f30,plain,
    ~ smaller(capability(sK0,sK2),capability(sK0,sK1)),
    inference(cnf_transformation,[],[f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : MGT048+1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.15  % 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
% 0.15/0.36  % Computer : n014.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 20:03:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  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.E1Mhpnrl5M/Vampire---4.8_21151
% 0.58/0.74  % (21534)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)
% 0.58/0.74  % (21527)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)
% 0.58/0.74  % (21529)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.74  % (21530)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)
% 0.58/0.74  % (21528)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)
% 0.58/0.74  % (21532)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)
% 0.58/0.74  % (21531)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 (2996ds/34Mi)
% 0.58/0.74  % (21533)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)
% 0.58/0.74  % (21530)Refutation not found, incomplete strategy% (21530)------------------------------
% 0.58/0.74  % (21530)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (21530)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (21530)Memory used [KB]: 1046
% 0.58/0.74  % (21530)Time elapsed: 0.004 s
% 0.58/0.74  % (21530)Instructions burned: 4 (million)
% 0.58/0.74  % (21530)------------------------------
% 0.58/0.74  % (21530)------------------------------
% 0.58/0.74  % (21533)First to succeed.
% 0.58/0.74  % (21533)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21395"
% 0.58/0.75  % (21533)Refutation found. Thanks to Tanya!
% 0.58/0.75  % SZS status Theorem for Vampire---4
% 0.58/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75  % (21533)------------------------------
% 0.58/0.75  % (21533)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (21533)Termination reason: Refutation
% 0.58/0.75  
% 0.58/0.75  % (21533)Memory used [KB]: 1071
% 0.58/0.75  % (21533)Time elapsed: 0.006 s
% 0.58/0.75  % (21533)Instructions burned: 7 (million)
% 0.58/0.75  % (21395)Success in time 0.371 s
% 0.58/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------