↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : MGT067+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:25:32 PM UTC 2026

% Result   : Theorem 0.15s 0.59s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  107 (  30 unt;   9 def)
%            Number of atoms       :  290 (   0 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  341 ( 158   ~; 141   |;  25   &)
%                                         (   9 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   21 (  20 usr;  10 prp; 0-10 aty)
%            Number of functors    :   22 (  22 usr;  17 con; 0-3 aty)
%            Number of variables   :  266 ( 238   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,axiom,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssS_TCODE,ssTCD,ssME51N))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_WRK,ssACTVT,np__1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_WRK,ssWERKS,ssINF))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_BSA,ssACTVT,ssSTAR))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_BSA,ssBSART,ssSTAR))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_EKG,ssACTVT,ssSTAR))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,axiom,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_EKG,ssEKGRP,ssI26))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f114,axiom,
    ssHolds(ssMUELLER,ssZBANF_WRK_INF_ED),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f118,axiom,
    ssStandardPurchase(ssNB),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f137,axiom,
    ! [U,V,W,X] :
      ( ssUserProfile(userProfileEntry(U,authObj(V,W,X)))
     => ssAccess(U,authObj(V,W,X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f138,axiom,
    ! [U,V,W,X] :
      ( ssUserProfile(userProfileEntry(U,authObj(V,W,ssSTAR)))
     => ssAccess(U,authObj(V,W,X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f141,axiom,
    ! [U,V,W,X,Y,Z,X1] :
      ( ( ( ssHolds(U,X)
          & ssSingleRole(singleRoleEntry(W,authObj(Y,Z,X1)))
          & ssCompositeRole(compositeRoleEntry(X,W)) )
        | ( ssHolds(U,W)
          & ssSingleRole(singleRoleEntry(W,authObj(Y,Z,X1))) )
        | ( ssHolds(U,V)
          & ssProfile(profileEntry(V,authObj(Y,Z,X1))) ) )
     => ssUserProfile(userProfileEntry(U,authObj(Y,Z,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f142,axiom,
    ! [U,V,W,X] :
      ( ( ssAccess(U,authObj(ssM_BANF_EKG,ssEKGRP,X))
        & ssAccess(U,authObj(ssM_BANF_EKG,ssACTVT,np__1))
        & ssAccess(U,authObj(ssM_BANF_BSA,ssBSART,W))
        & ssAccess(U,authObj(ssM_BANF_BSA,ssACTVT,np__1))
        & ssAccess(U,authObj(ssM_BANF_WRK,ssWERKS,V))
        & ssAccess(U,authObj(ssM_BANF_WRK,ssACTVT,np__1))
        & ssAccess(U,authObj(ssS_TCODE,ssTCD,ssME51N)) )
     => ssAccess(U,ssME51N) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f149,axiom,
    ! [U,V,W,X,Y,Z,X1,X2,X3,X4] :
      ( ( ssAccess(U,authObj(ssM_BANF_EKG,ssEKGRP,X))
        & ssAccess(U,authObj(ssM_BANF_BSA,ssBSART,W))
        & ssAccess(U,authObj(ssM_BANF_WRK,ssWERKS,V))
        & ssAccess(U,ssME51N)
        & ssStandardPurchase(W)
        & ssRequisition(W,Z,X1,V,X,X2,Y,X3,X4) )
     => ssRequisitionCreated(U,W,Z,X1,V,X,X2,Y,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f155,axiom,
    ~ ? [U,V,W,X,Y,Z,X1,X2,X3,X4] :
        ( ssRequisition(Z,X1,X2,V,W,X,Y,X3,X4)
       => ( ssOrderCreated(U,Z,X1,X2,V,W,X,Y,X3,X4)
          & ssRequisitionReleased(U,Z,X1,X2,V,W,X,Y,X3,X4)
          & ssRequisitionCreated(U,Z,X1,X2,V,W,X,Y,X3,X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f158,conjecture,
    ? [U,V,W,X,Y,Z,X1,X2,X3] :
      ( ssRequisition(Y,Z,X1,U,ssINF,W,X,X2,X3)
     => ssRequisitionCreated(ssMUELLER,Y,Z,X1,ssINF,V,W,X,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f159,negated_conjecture,
    ~ ? [U,V,W,X,Y,Z,X1,X2,X3] :
        ( ssRequisition(Y,Z,X1,U,ssINF,W,X,X2,X3)
       => ssRequisitionCreated(ssMUELLER,Y,Z,X1,ssINF,V,W,X,X2,X3) ),
    inference(negated_conjecture,[status(cth)],[f158]) ).

fof(f171,plain,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssS_TCODE,ssTCD,ssME51N))),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f172,plain,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_WRK,ssACTVT,np__1))),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f175,plain,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_WRK,ssWERKS,ssINF))),
    inference(cnf_transformation,[status(thm)],[f16]) ).

fof(f176,plain,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_BSA,ssACTVT,ssSTAR))),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f177,plain,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_BSA,ssBSART,ssSTAR))),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f178,plain,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_EKG,ssACTVT,ssSTAR))),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f179,plain,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_EKG,ssEKGRP,ssI26))),
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f273,plain,
    ssHolds(ssMUELLER,ssZBANF_WRK_INF_ED),
    inference(cnf_transformation,[status(thm)],[f114]) ).

fof(f277,plain,
    ssStandardPurchase(ssNB),
    inference(cnf_transformation,[status(thm)],[f118]) ).

fof(f311,plain,
    ! [U,V,W,X] :
      ( ssAccess(U,authObj(V,W,X))
      | ~ ssUserProfile(userProfileEntry(U,authObj(V,W,X))) ),
    inference(pre_NNF_transformation,[status(thm)],[f137]) ).

fof(f312,plain,
    ! [X0,X1,X2,X3] :
      ( ssAccess(X0,authObj(X1,X2,X3))
      | ~ ssUserProfile(userProfileEntry(X0,authObj(X1,X2,X3))) ),
    inference(cnf_transformation,[status(thm)],[f311]) ).

fof(f313,plain,
    ! [U,V,W,X] :
      ( ssAccess(U,authObj(V,W,X))
      | ~ ssUserProfile(userProfileEntry(U,authObj(V,W,ssSTAR))) ),
    inference(pre_NNF_transformation,[status(thm)],[f138]) ).

fof(f314,plain,
    ! [U,V,W] :
      ( ! [X] : ssAccess(U,authObj(V,W,X))
      | ~ ssUserProfile(userProfileEntry(U,authObj(V,W,ssSTAR))) ),
    inference(miniscoping,[status(thm)],[f313]) ).

fof(f315,plain,
    ! [X0,X1,X2,X3] :
      ( ssAccess(X0,authObj(X1,X2,X3))
      | ~ ssUserProfile(userProfileEntry(X0,authObj(X1,X2,ssSTAR))) ),
    inference(cnf_transformation,[status(thm)],[f314]) ).

fof(f321,plain,
    ! [U,V,W,X,Y,Z,X1] :
      ( ssUserProfile(userProfileEntry(U,authObj(Y,Z,X1)))
      | ( ( ~ ssHolds(U,X)
          | ~ ssSingleRole(singleRoleEntry(W,authObj(Y,Z,X1)))
          | ~ ssCompositeRole(compositeRoleEntry(X,W)) )
        & ( ~ ssHolds(U,W)
          | ~ ssSingleRole(singleRoleEntry(W,authObj(Y,Z,X1))) )
        & ( ~ ssHolds(U,V)
          | ~ ssProfile(profileEntry(V,authObj(Y,Z,X1))) ) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f141]) ).

fof(f322,plain,
    ! [U,Y,Z,X1] :
      ( ssUserProfile(userProfileEntry(U,authObj(Y,Z,X1)))
      | ( ! [X] :
            ( ~ ssHolds(U,X)
            | ! [W] :
                ( ~ ssSingleRole(singleRoleEntry(W,authObj(Y,Z,X1)))
                | ~ ssCompositeRole(compositeRoleEntry(X,W)) ) )
        & ! [W] :
            ( ~ ssHolds(U,W)
            | ~ ssSingleRole(singleRoleEntry(W,authObj(Y,Z,X1))) )
        & ! [V] :
            ( ~ ssHolds(U,V)
            | ~ ssProfile(profileEntry(V,authObj(Y,Z,X1))) ) ) ),
    inference(miniscoping,[status(thm)],[f321]) ).

fof(f324,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ssUserProfile(userProfileEntry(X4,authObj(X1,X2,X3)))
      | ~ ssHolds(X4,X0)
      | ~ ssSingleRole(singleRoleEntry(X0,authObj(X1,X2,X3))) ),
    inference(cnf_transformation,[status(thm)],[f322]) ).

fof(f326,plain,
    ! [U,V,W,X] :
      ( ssAccess(U,ssME51N)
      | ~ ssAccess(U,authObj(ssM_BANF_EKG,ssEKGRP,X))
      | ~ ssAccess(U,authObj(ssM_BANF_EKG,ssACTVT,np__1))
      | ~ ssAccess(U,authObj(ssM_BANF_BSA,ssBSART,W))
      | ~ ssAccess(U,authObj(ssM_BANF_BSA,ssACTVT,np__1))
      | ~ ssAccess(U,authObj(ssM_BANF_WRK,ssWERKS,V))
      | ~ ssAccess(U,authObj(ssM_BANF_WRK,ssACTVT,np__1))
      | ~ ssAccess(U,authObj(ssS_TCODE,ssTCD,ssME51N)) ),
    inference(pre_NNF_transformation,[status(thm)],[f142]) ).

fof(f327,plain,
    ! [U] :
      ( ssAccess(U,ssME51N)
      | ! [X] : ~ ssAccess(U,authObj(ssM_BANF_EKG,ssEKGRP,X))
      | ~ ssAccess(U,authObj(ssM_BANF_EKG,ssACTVT,np__1))
      | ! [W] : ~ ssAccess(U,authObj(ssM_BANF_BSA,ssBSART,W))
      | ~ ssAccess(U,authObj(ssM_BANF_BSA,ssACTVT,np__1))
      | ! [V] : ~ ssAccess(U,authObj(ssM_BANF_WRK,ssWERKS,V))
      | ~ ssAccess(U,authObj(ssM_BANF_WRK,ssACTVT,np__1))
      | ~ ssAccess(U,authObj(ssS_TCODE,ssTCD,ssME51N)) ),
    inference(miniscoping,[status(thm)],[f326]) ).

fof(f328,plain,
    ! [X0,X1,X2,X3] :
      ( ssAccess(X0,ssME51N)
      | ~ ssAccess(X0,authObj(ssM_BANF_EKG,ssEKGRP,X3))
      | ~ ssAccess(X0,authObj(ssM_BANF_EKG,ssACTVT,np__1))
      | ~ ssAccess(X0,authObj(ssM_BANF_BSA,ssBSART,X2))
      | ~ ssAccess(X0,authObj(ssM_BANF_BSA,ssACTVT,np__1))
      | ~ ssAccess(X0,authObj(ssM_BANF_WRK,ssWERKS,X1))
      | ~ ssAccess(X0,authObj(ssM_BANF_WRK,ssACTVT,np__1))
      | ~ ssAccess(X0,authObj(ssS_TCODE,ssTCD,ssME51N)) ),
    inference(cnf_transformation,[status(thm)],[f327]) ).

fof(f347,plain,
    ! [U,V,W,X,Y,Z,X1,X2,X3,X4] :
      ( ssRequisitionCreated(U,W,Z,X1,V,X,X2,Y,X3,X4)
      | ~ ssAccess(U,authObj(ssM_BANF_EKG,ssEKGRP,X))
      | ~ ssAccess(U,authObj(ssM_BANF_BSA,ssBSART,W))
      | ~ ssAccess(U,authObj(ssM_BANF_WRK,ssWERKS,V))
      | ~ ssAccess(U,ssME51N)
      | ~ ssStandardPurchase(W)
      | ~ ssRequisition(W,Z,X1,V,X,X2,Y,X3,X4) ),
    inference(pre_NNF_transformation,[status(thm)],[f149]) ).

fof(f348,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ssRequisitionCreated(X9,X0,X1,X2,X3,X4,X5,X6,X7,X8)
      | ~ ssAccess(X9,authObj(ssM_BANF_EKG,ssEKGRP,X4))
      | ~ ssAccess(X9,authObj(ssM_BANF_BSA,ssBSART,X0))
      | ~ ssAccess(X9,authObj(ssM_BANF_WRK,ssWERKS,X3))
      | ~ ssAccess(X9,ssME51N)
      | ~ ssStandardPurchase(X0)
      | ~ ssRequisition(X0,X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(cnf_transformation,[status(thm)],[f347]) ).

fof(f371,plain,
    ! [U,V,W,X,Y,Z,X1,X2,X3,X4] :
      ( ( ~ ssOrderCreated(U,Z,X1,X2,V,W,X,Y,X3,X4)
        | ~ ssRequisitionReleased(U,Z,X1,X2,V,W,X,Y,X3,X4)
        | ~ ssRequisitionCreated(U,Z,X1,X2,V,W,X,Y,X3,X4) )
      & ssRequisition(Z,X1,X2,V,W,X,Y,X3,X4) ),
    inference(pre_NNF_transformation,[status(thm)],[f155]) ).

fof(f372,plain,
    ( ! [U,V,W,X,Y,Z,X1,X2,X3,X4] :
        ( ~ ssOrderCreated(U,Z,X1,X2,V,W,X,Y,X3,X4)
        | ~ ssRequisitionReleased(U,Z,X1,X2,V,W,X,Y,X3,X4)
        | ~ ssRequisitionCreated(U,Z,X1,X2,V,W,X,Y,X3,X4) )
    & ! [V,W,X,Y,Z,X1,X2,X3,X4] : ssRequisition(Z,X1,X2,V,W,X,Y,X3,X4) ),
    inference(miniscoping,[status(thm)],[f371]) ).

fof(f373,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : ssRequisition(X0,X1,X2,X3,X4,X5,X6,X7,X8),
    inference(cnf_transformation,[status(thm)],[f372]) ).

fof(f383,plain,
    ! [U,V,W,X,Y,Z,X1,X2,X3] :
      ( ~ ssRequisitionCreated(ssMUELLER,Y,Z,X1,ssINF,V,W,X,X2,X3)
      & ssRequisition(Y,Z,X1,U,ssINF,W,X,X2,X3) ),
    inference(pre_NNF_transformation,[status(thm)],[f159]) ).

fof(f384,plain,
    ( ! [V,W,X,Y,Z,X1,X2,X3] : ~ ssRequisitionCreated(ssMUELLER,Y,Z,X1,ssINF,V,W,X,X2,X3)
    & ! [U,W,X,Y,Z,X1,X2,X3] : ssRequisition(Y,Z,X1,U,ssINF,W,X,X2,X3) ),
    inference(miniscoping,[status(thm)],[f383]) ).

fof(f386,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] : ~ ssRequisitionCreated(ssMUELLER,X0,X1,X2,ssINF,X3,X4,X5,X6,X7),
    inference(cnf_transformation,[status(thm)],[f384]) ).

fof(f397,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ssAccess(X3,authObj(X1,X2,X4))
      | ~ ssHolds(X3,X0)
      | ~ ssSingleRole(singleRoleEntry(X0,authObj(X1,X2,ssSTAR))) ),
    inference(resolution,[status(thm)],[f324,f315]) ).

fof(f398,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ssAccess(X4,authObj(X1,X2,X3))
      | ~ ssHolds(X4,X0)
      | ~ ssSingleRole(singleRoleEntry(X0,authObj(X1,X2,X3))) ),
    inference(resolution,[status(thm)],[f324,f312]) ).

fof(f478,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ssRequisitionCreated(X1,X0,X4,X5,X2,X3,X6,X7,X8,X9)
      | ~ ssAccess(X1,authObj(ssM_BANF_EKG,ssEKGRP,X3))
      | ~ ssAccess(X1,authObj(ssM_BANF_BSA,ssBSART,X0))
      | ~ ssAccess(X1,authObj(ssM_BANF_WRK,ssWERKS,X2))
      | ~ ssAccess(X1,ssME51N)
      | ~ ssStandardPurchase(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f348,f373]) ).

fof(f479,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ssRequisitionCreated(X0,ssNB,X3,X4,X1,X2,X5,X6,X7,X8)
      | ~ ssAccess(X0,authObj(ssM_BANF_EKG,ssEKGRP,X2))
      | ~ ssAccess(X0,authObj(ssM_BANF_BSA,ssBSART,ssNB))
      | ~ ssAccess(X0,authObj(ssM_BANF_WRK,ssWERKS,X1))
      | ~ ssAccess(X0,ssME51N) ),
    inference(resolution,[status(thm)],[f478,f277]) ).

fof(f480,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ ssAccess(X0,authObj(ssM_BANF_EKG,ssEKGRP,X11))
      | ~ ssAccess(X0,authObj(ssM_BANF_EKG,ssACTVT,np__1))
      | ~ ssAccess(X0,authObj(ssM_BANF_BSA,ssBSART,X10))
      | ~ ssAccess(X0,authObj(ssM_BANF_BSA,ssACTVT,np__1))
      | ~ ssAccess(X0,authObj(ssM_BANF_WRK,ssWERKS,X9))
      | ~ ssAccess(X0,authObj(ssM_BANF_WRK,ssACTVT,np__1))
      | ~ ssAccess(X0,authObj(ssS_TCODE,ssTCD,ssME51N))
      | ssRequisitionCreated(X0,ssNB,X3,X4,X1,X2,X5,X6,X7,X8)
      | ~ ssAccess(X0,authObj(ssM_BANF_EKG,ssEKGRP,X2))
      | ~ ssAccess(X0,authObj(ssM_BANF_BSA,ssBSART,ssNB))
      | ~ ssAccess(X0,authObj(ssM_BANF_WRK,ssWERKS,X1)) ),
    inference(resolution,[status(thm)],[f479,f328]) ).

fof(f481,plain,
    ! [X0,X1,X2,X3] :
      ( ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssEKGRP,X3))
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssACTVT,np__1))
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssBSART,X2))
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssACTVT,np__1))
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssWERKS,X1))
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssACTVT,np__1))
      | ~ ssAccess(ssMUELLER,authObj(ssS_TCODE,ssTCD,ssME51N))
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssEKGRP,X0))
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssBSART,ssNB))
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssWERKS,ssINF)) ),
    inference(resolution,[status(thm)],[f480,f386]) ).

fof(f482,definition,
    ( sQ10_spl
  <=> ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssWERKS,ssINF)) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f484,plain,
    ( sQ10_spl
    | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssWERKS,ssINF)) ),
    inference(component_clause,[status(thm)],[f482]) ).

fof(f485,definition,
    ( sQ11_spl
  <=> ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssBSART,ssNB)) ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f487,plain,
    ( sQ11_spl
    | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssBSART,ssNB)) ),
    inference(component_clause,[status(thm)],[f485]) ).

fof(f488,definition,
    ! [X0] :
      ( sQ12_spl
    <=> ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssEKGRP,X0)) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f489,plain,
    ! [X0] :
      ( ~ sQ12_spl
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssEKGRP,X0)) ),
    inference(component_clause,[status(thm)],[f488]) ).

fof(f491,definition,
    ( sQ13_spl
  <=> ssAccess(ssMUELLER,authObj(ssS_TCODE,ssTCD,ssME51N)) ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f493,plain,
    ( sQ13_spl
    | ~ ssAccess(ssMUELLER,authObj(ssS_TCODE,ssTCD,ssME51N)) ),
    inference(component_clause,[status(thm)],[f491]) ).

fof(f494,definition,
    ( sQ14_spl
  <=> ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssACTVT,np__1)) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f496,plain,
    ( sQ14_spl
    | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssACTVT,np__1)) ),
    inference(component_clause,[status(thm)],[f494]) ).

fof(f497,definition,
    ! [X1] :
      ( sQ15_spl
    <=> ~ ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssWERKS,X1)) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f498,plain,
    ! [X0] :
      ( ~ sQ15_spl
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssWERKS,X0)) ),
    inference(component_clause,[status(thm)],[f497]) ).

fof(f500,definition,
    ( sQ16_spl
  <=> ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssACTVT,np__1)) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f502,plain,
    ( sQ16_spl
    | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssACTVT,np__1)) ),
    inference(component_clause,[status(thm)],[f500]) ).

fof(f503,definition,
    ! [X2] :
      ( sQ17_spl
    <=> ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssBSART,X2)) ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f504,plain,
    ! [X0] :
      ( ~ sQ17_spl
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssBSART,X0)) ),
    inference(component_clause,[status(thm)],[f503]) ).

fof(f506,definition,
    ( sQ18_spl
  <=> ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssACTVT,np__1)) ),
    introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).

fof(f508,plain,
    ( sQ18_spl
    | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssACTVT,np__1)) ),
    inference(component_clause,[status(thm)],[f506]) ).

fof(f509,plain,
    ( ~ sQ18_spl
    | sQ17_spl
    | ~ sQ16_spl
    | sQ15_spl
    | ~ sQ14_spl
    | ~ sQ13_spl
    | sQ12_spl
    | ~ sQ11_spl
    | ~ sQ10_spl ),
    inference(split_clause,[status(thm)],[f481,f482,f485,f488,f491,f494,f497,f500,f503,f506]) ).

fof(f512,plain,
    ! [X0] :
      ( sQ18_spl
      | ~ ssHolds(ssMUELLER,X0)
      | ~ ssSingleRole(singleRoleEntry(X0,authObj(ssM_BANF_EKG,ssACTVT,ssSTAR))) ),
    inference(resolution,[status(thm)],[f508,f397]) ).

fof(f515,plain,
    ( sQ18_spl
    | ~ ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_EKG,ssACTVT,ssSTAR))) ),
    inference(resolution,[status(thm)],[f512,f273]) ).

fof(f516,plain,
    ( sQ18_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f515,f178]) ).

fof(f517,plain,
    sQ18_spl,
    inference(contradiction_clause,[status(thm)],[f516]) ).

fof(f521,plain,
    ! [X0,X1] :
      ( ~ sQ17_spl
      | ~ ssHolds(ssMUELLER,X0)
      | ~ ssSingleRole(singleRoleEntry(X0,authObj(ssM_BANF_BSA,ssBSART,X1))) ),
    inference(resolution,[status(thm)],[f504,f398]) ).

fof(f522,plain,
    ! [X0] :
      ( ~ sQ17_spl
      | ~ ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_BSA,ssBSART,X0))) ),
    inference(resolution,[status(thm)],[f521,f273]) ).

fof(f523,plain,
    ( ~ sQ17_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f177,f522]) ).

fof(f524,plain,
    ~ sQ17_spl,
    inference(contradiction_clause,[status(thm)],[f523]) ).

fof(f527,plain,
    ! [X0] :
      ( sQ16_spl
      | ~ ssHolds(ssMUELLER,X0)
      | ~ ssSingleRole(singleRoleEntry(X0,authObj(ssM_BANF_BSA,ssACTVT,ssSTAR))) ),
    inference(resolution,[status(thm)],[f502,f397]) ).

fof(f530,plain,
    ( sQ16_spl
    | ~ ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_BSA,ssACTVT,ssSTAR))) ),
    inference(resolution,[status(thm)],[f527,f273]) ).

fof(f531,plain,
    ( sQ16_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f530,f176]) ).

fof(f532,plain,
    sQ16_spl,
    inference(contradiction_clause,[status(thm)],[f531]) ).

fof(f536,plain,
    ! [X0,X1] :
      ( ~ sQ15_spl
      | ~ ssHolds(ssMUELLER,X0)
      | ~ ssSingleRole(singleRoleEntry(X0,authObj(ssM_BANF_WRK,ssWERKS,X1))) ),
    inference(resolution,[status(thm)],[f498,f398]) ).

fof(f537,plain,
    ! [X0] :
      ( ~ sQ15_spl
      | ~ ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_WRK,ssWERKS,X0))) ),
    inference(resolution,[status(thm)],[f536,f273]) ).

fof(f538,plain,
    ( ~ sQ15_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f175,f537]) ).

fof(f539,plain,
    ~ sQ15_spl,
    inference(contradiction_clause,[status(thm)],[f538]) ).

fof(f543,plain,
    ! [X0] :
      ( sQ14_spl
      | ~ ssHolds(ssMUELLER,X0)
      | ~ ssSingleRole(singleRoleEntry(X0,authObj(ssM_BANF_WRK,ssACTVT,np__1))) ),
    inference(resolution,[status(thm)],[f496,f398]) ).

fof(f544,plain,
    ( sQ14_spl
    | ~ ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_WRK,ssACTVT,np__1))) ),
    inference(resolution,[status(thm)],[f543,f273]) ).

fof(f545,plain,
    ( sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f544,f172]) ).

fof(f546,plain,
    sQ14_spl,
    inference(contradiction_clause,[status(thm)],[f545]) ).

fof(f550,plain,
    ! [X0] :
      ( sQ13_spl
      | ~ ssHolds(ssMUELLER,X0)
      | ~ ssSingleRole(singleRoleEntry(X0,authObj(ssS_TCODE,ssTCD,ssME51N))) ),
    inference(resolution,[status(thm)],[f493,f398]) ).

fof(f551,plain,
    ( sQ13_spl
    | ~ ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssS_TCODE,ssTCD,ssME51N))) ),
    inference(resolution,[status(thm)],[f550,f273]) ).

fof(f552,plain,
    ( sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f551,f171]) ).

fof(f553,plain,
    sQ13_spl,
    inference(contradiction_clause,[status(thm)],[f552]) ).

fof(f557,plain,
    ! [X0,X1] :
      ( ~ sQ12_spl
      | ~ ssHolds(ssMUELLER,X0)
      | ~ ssSingleRole(singleRoleEntry(X0,authObj(ssM_BANF_EKG,ssEKGRP,X1))) ),
    inference(resolution,[status(thm)],[f489,f398]) ).

fof(f558,plain,
    ! [X0] :
      ( ~ sQ12_spl
      | ~ ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_EKG,ssEKGRP,X0))) ),
    inference(resolution,[status(thm)],[f557,f273]) ).

fof(f559,plain,
    ( ~ sQ12_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f179,f558]) ).

fof(f560,plain,
    ~ sQ12_spl,
    inference(contradiction_clause,[status(thm)],[f559]) ).

fof(f564,plain,
    ! [X0] :
      ( sQ10_spl
      | ~ ssHolds(ssMUELLER,X0)
      | ~ ssSingleRole(singleRoleEntry(X0,authObj(ssM_BANF_WRK,ssWERKS,ssINF))) ),
    inference(resolution,[status(thm)],[f484,f398]) ).

fof(f565,plain,
    ( sQ10_spl
    | ~ ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_WRK,ssWERKS,ssINF))) ),
    inference(resolution,[status(thm)],[f564,f273]) ).

fof(f566,plain,
    ( sQ10_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f565,f175]) ).

fof(f567,plain,
    sQ10_spl,
    inference(contradiction_clause,[status(thm)],[f566]) ).

fof(f570,plain,
    ! [X0] :
      ( sQ11_spl
      | ~ ssHolds(ssMUELLER,X0)
      | ~ ssSingleRole(singleRoleEntry(X0,authObj(ssM_BANF_BSA,ssBSART,ssSTAR))) ),
    inference(resolution,[status(thm)],[f487,f397]) ).

fof(f572,plain,
    ( sQ11_spl
    | ~ ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_BSA,ssBSART,ssSTAR))) ),
    inference(resolution,[status(thm)],[f570,f273]) ).

fof(f573,plain,
    ( sQ11_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f572,f177]) ).

fof(f574,plain,
    sQ11_spl,
    inference(contradiction_clause,[status(thm)],[f573]) ).

fof(f575,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f509,f517,f524,f532,f539,f546,f553,f560,f567,f574]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT067+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.55  % Computer : n011.cluster.edu
% 0.11/0.55  % Model    : x86_64 x86_64
% 0.11/0.55  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.55  % Memory   : 8046.5625MB
% 0.11/0.55  % OS       : Linux 6.8.0-71-generic
% 0.11/0.55  % CPULimit : 300
% 0.11/0.55  % WCLimit  : 300
% 0.11/0.55  % DateTime : Mon Sep 21 01:25:11 UTC 2026
% 0.11/0.55  % CPUTime  : 
% 0.15/0.56  % Drodi V4.1.1
% 0.15/0.59  % Refutation found
% 0.15/0.59  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.59  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.61  % Elapsed time: 0.056560 seconds
% 0.15/0.61  % CPU time: 0.167630 seconds
% 0.15/0.61  % Total memory used: 29.695 MB
% 0.15/0.61  % Net memory used: 29.552 MB
%------------------------------------------------------------------------------