TSTP Solution File: MGT004+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : MGT004+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n008.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 03:21:44 EDT 2024

% Result   : Theorem 0.46s 0.66s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   46 (  17 unt;   0 def)
%            Number of atoms       :  236 (   0 equ)
%            Maximal formula atoms :   18 (   5 avg)
%            Number of connectives :  289 (  99   ~;  76   |; 101   &)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   9 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :  175 ( 147   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f52,plain,
    $false,
    inference(subsumption_resolution,[],[f48,f46]) ).

fof(f46,plain,
    greater(sK7(sK0,sK3),sK7(sK0,sK4)),
    inference(unit_resulting_resolution,[],[f35,f33,f30,f28,f39,f41,f34,f29,f40,f42,f26]) ).

fof(f26,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ greater(X6,X5)
      | greater(X6,X8)
      | greater(X1,X2)
      | greater(X7,X5)
      | ~ accountability(X0,X4,X6)
      | ~ accountability(X0,X3,X5)
      | ~ reliability(X0,X2,X6)
      | ~ reliability(X0,X1,X5)
      | ~ reorganization(X0,X7,X8)
      | ~ organization(X0,X6)
      | ~ organization(X0,X5) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ( greater(X3,X4)
        & greater(X1,X2) )
      | greater(X6,X8)
      | ~ greater(X6,X5)
      | greater(X7,X5)
      | ~ accountability(X0,X4,X6)
      | ~ accountability(X0,X3,X5)
      | ~ reliability(X0,X2,X6)
      | ~ reliability(X0,X1,X5)
      | ~ reorganization(X0,X7,X8)
      | ~ organization(X0,X6)
      | ~ organization(X0,X5) ),
    inference(flattening,[],[f13]) ).

fof(f13,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ( greater(X3,X4)
        & greater(X1,X2) )
      | greater(X6,X8)
      | ~ greater(X6,X5)
      | greater(X7,X5)
      | ~ accountability(X0,X4,X6)
      | ~ accountability(X0,X3,X5)
      | ~ reliability(X0,X2,X6)
      | ~ reliability(X0,X1,X5)
      | ~ reorganization(X0,X7,X8)
      | ~ organization(X0,X6)
      | ~ organization(X0,X5) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ( ~ greater(X6,X8)
        & greater(X6,X5)
        & ~ greater(X7,X5)
        & accountability(X0,X4,X6)
        & accountability(X0,X3,X5)
        & reliability(X0,X2,X6)
        & reliability(X0,X1,X5)
        & reorganization(X0,X7,X8)
        & organization(X0,X6)
        & organization(X0,X5) )
     => ( greater(X3,X4)
        & greater(X1,X2) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X5,X6,X7,X8,X11,X12,X13,X14] :
      ( ( ~ greater(X12,X14)
        & greater(X12,X11)
        & ~ greater(X13,X11)
        & accountability(X0,X8,X12)
        & accountability(X0,X7,X11)
        & reliability(X0,X6,X12)
        & reliability(X0,X5,X11)
        & reorganization(X0,X13,X14)
        & organization(X0,X12)
        & organization(X0,X11) )
     => ( greater(X7,X8)
        & greater(X5,X6) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wt1ZHd6BjZ/Vampire---4.8_7177',a6_FOL) ).

fof(f42,plain,
    accountability(sK0,sK8(sK0,sK4),sK4),
    inference(unit_resulting_resolution,[],[f29,f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( accountability(X0,sK8(X0,X1),X1)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( accountability(X0,sK8(X0,X1),X1)
      | ~ organization(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f18,f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ? [X2] : accountability(X0,X2,X1)
     => accountability(X0,sK8(X0,X1),X1) ),
    introduced(choice_axiom,[]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ? [X2] : accountability(X0,X2,X1)
      | ~ organization(X0,X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( organization(X0,X1)
     => ? [X2] : accountability(X0,X2,X1) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( organization(X0,X1)
     => ? [X3] : accountability(X0,X3,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.wt1ZHd6BjZ/Vampire---4.8_7177',mp2) ).

fof(f40,plain,
    reliability(sK0,sK7(sK0,sK4),sK4),
    inference(unit_resulting_resolution,[],[f29,f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( reliability(X0,sK7(X0,X1),X1)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( reliability(X0,sK7(X0,X1),X1)
      | ~ organization(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f17,f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ? [X2] : reliability(X0,X2,X1)
     => reliability(X0,sK7(X0,X1),X1) ),
    introduced(choice_axiom,[]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ? [X2] : reliability(X0,X2,X1)
      | ~ organization(X0,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( organization(X0,X1)
     => ? [X2] : reliability(X0,X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.wt1ZHd6BjZ/Vampire---4.8_7177',mp1) ).

fof(f29,plain,
    organization(sK0,sK4),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ( ~ greater(sK1,sK2)
    & ~ greater(sK4,sK6)
    & greater(sK4,sK3)
    & ~ greater(sK5,sK3)
    & survival_chance(sK0,sK2,sK4)
    & survival_chance(sK0,sK1,sK3)
    & reorganization(sK0,sK5,sK6)
    & organization(sK0,sK4)
    & organization(sK0,sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f16,f19]) ).

fof(f19,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6] :
        ( ~ greater(X1,X2)
        & ~ greater(X4,X6)
        & greater(X4,X3)
        & ~ greater(X5,X3)
        & survival_chance(X0,X2,X4)
        & survival_chance(X0,X1,X3)
        & reorganization(X0,X5,X6)
        & organization(X0,X4)
        & organization(X0,X3) )
   => ( ~ greater(sK1,sK2)
      & ~ greater(sK4,sK6)
      & greater(sK4,sK3)
      & ~ greater(sK5,sK3)
      & survival_chance(sK0,sK2,sK4)
      & survival_chance(sK0,sK1,sK3)
      & reorganization(sK0,sK5,sK6)
      & organization(sK0,sK4)
      & organization(sK0,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f16,plain,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ greater(X1,X2)
      & ~ greater(X4,X6)
      & greater(X4,X3)
      & ~ greater(X5,X3)
      & survival_chance(X0,X2,X4)
      & survival_chance(X0,X1,X3)
      & reorganization(X0,X5,X6)
      & organization(X0,X4)
      & organization(X0,X3) ),
    inference(flattening,[],[f15]) ).

fof(f15,plain,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ greater(X1,X2)
      & ~ greater(X4,X6)
      & greater(X4,X3)
      & ~ greater(X5,X3)
      & survival_chance(X0,X2,X4)
      & survival_chance(X0,X1,X3)
      & reorganization(X0,X5,X6)
      & organization(X0,X4)
      & organization(X0,X3) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,plain,
    ~ ! [X0,X1,X2,X3,X4,X5,X6] :
        ( ( ~ greater(X4,X6)
          & greater(X4,X3)
          & ~ greater(X5,X3)
          & survival_chance(X0,X2,X4)
          & survival_chance(X0,X1,X3)
          & reorganization(X0,X5,X6)
          & organization(X0,X4)
          & organization(X0,X3) )
       => greater(X1,X2) ),
    inference(rectify,[],[f6]) ).

fof(f6,negated_conjecture,
    ~ ! [X0,X9,X10,X11,X12,X13,X14] :
        ( ( ~ greater(X12,X14)
          & greater(X12,X11)
          & ~ greater(X13,X11)
          & survival_chance(X0,X10,X12)
          & survival_chance(X0,X9,X11)
          & reorganization(X0,X13,X14)
          & organization(X0,X12)
          & organization(X0,X11) )
       => greater(X9,X10) ),
    inference(negated_conjecture,[],[f5]) ).

fof(f5,conjecture,
    ! [X0,X9,X10,X11,X12,X13,X14] :
      ( ( ~ greater(X12,X14)
        & greater(X12,X11)
        & ~ greater(X13,X11)
        & survival_chance(X0,X10,X12)
        & survival_chance(X0,X9,X11)
        & reorganization(X0,X13,X14)
        & organization(X0,X12)
        & organization(X0,X11) )
     => greater(X9,X10) ),
    file('/export/starexec/sandbox/tmp/tmp.wt1ZHd6BjZ/Vampire---4.8_7177',t4_FOL) ).

fof(f34,plain,
    greater(sK4,sK3),
    inference(cnf_transformation,[],[f20]) ).

fof(f41,plain,
    accountability(sK0,sK8(sK0,sK3),sK3),
    inference(unit_resulting_resolution,[],[f28,f38]) ).

fof(f39,plain,
    reliability(sK0,sK7(sK0,sK3),sK3),
    inference(unit_resulting_resolution,[],[f28,f37]) ).

fof(f28,plain,
    organization(sK0,sK3),
    inference(cnf_transformation,[],[f20]) ).

fof(f30,plain,
    reorganization(sK0,sK5,sK6),
    inference(cnf_transformation,[],[f20]) ).

fof(f33,plain,
    ~ greater(sK5,sK3),
    inference(cnf_transformation,[],[f20]) ).

fof(f35,plain,
    ~ greater(sK4,sK6),
    inference(cnf_transformation,[],[f20]) ).

fof(f48,plain,
    ~ greater(sK7(sK0,sK3),sK7(sK0,sK4)),
    inference(unit_resulting_resolution,[],[f29,f28,f40,f39,f36,f32,f31,f42,f41,f45,f25]) ).

fof(f25,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ greater(X5,X4)
      | greater(X7,X6)
      | ~ greater(X3,X2)
      | ~ survival_chance(X1,X7,X9)
      | ~ survival_chance(X0,X6,X8)
      | ~ accountability(X1,X5,X9)
      | ~ accountability(X0,X4,X8)
      | ~ reliability(X1,X3,X9)
      | ~ reliability(X0,X2,X8)
      | ~ organization(X1,X9)
      | ~ organization(X0,X8) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( greater(X7,X6)
      | ~ greater(X5,X4)
      | ~ greater(X3,X2)
      | ~ survival_chance(X1,X7,X9)
      | ~ survival_chance(X0,X6,X8)
      | ~ accountability(X1,X5,X9)
      | ~ accountability(X0,X4,X8)
      | ~ reliability(X1,X3,X9)
      | ~ reliability(X0,X2,X8)
      | ~ organization(X1,X9)
      | ~ organization(X0,X8) ),
    inference(flattening,[],[f11]) ).

fof(f11,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( greater(X7,X6)
      | ~ greater(X5,X4)
      | ~ greater(X3,X2)
      | ~ survival_chance(X1,X7,X9)
      | ~ survival_chance(X0,X6,X8)
      | ~ accountability(X1,X5,X9)
      | ~ accountability(X0,X4,X8)
      | ~ reliability(X1,X3,X9)
      | ~ reliability(X0,X2,X8)
      | ~ organization(X1,X9)
      | ~ organization(X0,X8) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( greater(X5,X4)
        & greater(X3,X2)
        & survival_chance(X1,X7,X9)
        & survival_chance(X0,X6,X8)
        & accountability(X1,X5,X9)
        & accountability(X0,X4,X8)
        & reliability(X1,X3,X9)
        & reliability(X0,X2,X8)
        & organization(X1,X9)
        & organization(X0,X8) )
     => greater(X7,X6) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ( greater(X8,X7)
        & greater(X6,X5)
        & survival_chance(X4,X10,X12)
        & survival_chance(X0,X9,X11)
        & accountability(X4,X8,X12)
        & accountability(X0,X7,X11)
        & reliability(X4,X6,X12)
        & reliability(X0,X5,X11)
        & organization(X4,X12)
        & organization(X0,X11) )
     => greater(X10,X9) ),
    file('/export/starexec/sandbox/tmp/tmp.wt1ZHd6BjZ/Vampire---4.8_7177',a1_FOL) ).

fof(f45,plain,
    greater(sK8(sK0,sK3),sK8(sK0,sK4)),
    inference(unit_resulting_resolution,[],[f35,f33,f30,f28,f39,f41,f34,f29,f40,f42,f27]) ).

fof(f27,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ greater(X6,X5)
      | greater(X6,X8)
      | greater(X3,X4)
      | greater(X7,X5)
      | ~ accountability(X0,X4,X6)
      | ~ accountability(X0,X3,X5)
      | ~ reliability(X0,X2,X6)
      | ~ reliability(X0,X1,X5)
      | ~ reorganization(X0,X7,X8)
      | ~ organization(X0,X6)
      | ~ organization(X0,X5) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f31,plain,
    survival_chance(sK0,sK1,sK3),
    inference(cnf_transformation,[],[f20]) ).

fof(f32,plain,
    survival_chance(sK0,sK2,sK4),
    inference(cnf_transformation,[],[f20]) ).

fof(f36,plain,
    ~ greater(sK1,sK2),
    inference(cnf_transformation,[],[f20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : MGT004+1 : TPTP v8.1.2. Released v2.0.0.
% 0.05/0.10  % 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
% 0.10/0.29  % Computer : n008.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit   : 300
% 0.10/0.29  % WCLimit    : 300
% 0.10/0.29  % DateTime   : Tue Apr 30 18:11:42 EDT 2024
% 0.10/0.29  % CPUTime    : 
% 0.10/0.29  This is a FOF_THM_RFO_NEQ problem
% 0.10/0.30  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.wt1ZHd6BjZ/Vampire---4.8_7177
% 0.46/0.66  % (7432)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)
% 0.46/0.66  % (7426)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)
% 0.46/0.66  % (7428)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.46/0.66  % (7427)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)
% 0.46/0.66  % (7430)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)
% 0.46/0.66  % (7431)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)
% 0.46/0.66  % (7429)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)
% 0.46/0.66  % (7429)First to succeed.
% 0.46/0.66  % (7430)Also succeeded, but the first one will report.
% 0.46/0.66  % (7432)Also succeeded, but the first one will report.
% 0.46/0.66  % (7429)Refutation found. Thanks to Tanya!
% 0.46/0.66  % SZS status Theorem for Vampire---4
% 0.46/0.66  % SZS output start Proof for Vampire---4
% See solution above
% 0.46/0.66  % (7429)------------------------------
% 0.46/0.66  % (7429)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.46/0.66  % (7429)Termination reason: Refutation
% 0.46/0.66  
% 0.46/0.66  % (7429)Memory used [KB]: 1063
% 0.46/0.66  % (7429)Time elapsed: 0.006 s
% 0.46/0.66  % (7429)Instructions burned: 7 (million)
% 0.46/0.66  % (7429)------------------------------
% 0.46/0.66  % (7429)------------------------------
% 0.46/0.66  % (7422)Success in time 0.358 s
% 0.46/0.66  % Vampire---4.8 exiting
%------------------------------------------------------------------------------