↑ Up

Vampire-SAT---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : MGT067+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n014.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 : Tue Sep 29 12:02:48 PM UTC 2026

% Result   : Theorem 0.17s 0.47s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   91 (  39 unt;   2 def)
%            Number of atoms       :  237 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  265 ( 119   ~; 111   |;  24   &)
%                                         (   2 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   3 prp; 0-10 aty)
%            Number of functors    :   22 (  22 usr;  17 con; 0-3 aty)
%            Number of variables   :  240 (   2 sgn 212   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,axiom,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssS_TCODE,ssTCD,ssME51N))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).

fof(f13,axiom,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_WRK,ssACTVT,np__1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).

fof(f16,axiom,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_WRK,ssWERKS,ssINF))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).

fof(f17,axiom,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_BSA,ssACTVT,ssSTAR))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(f18,axiom,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_BSA,ssBSART,ssSTAR))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).

fof(f19,axiom,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_EKG,ssACTVT,ssSTAR))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).

fof(f20,axiom,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_EKG,ssEKGRP,ssI26))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).

fof(f114,axiom,
    ssHolds(ssMUELLER,ssZBANF_WRK_INF_ED),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax114) ).

fof(f118,axiom,
    ssStandardPurchase(ssNB),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax118) ).

fof(f137,axiom,
    ! [X0,X1,X2,X3] :
      ( ssUserProfile(userProfileEntry(X0,authObj(X1,X2,X3)))
     => ssAccess(X0,authObj(X1,X2,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax137) ).

fof(f138,axiom,
    ! [X0,X1,X2,X3] :
      ( ssUserProfile(userProfileEntry(X0,authObj(X1,X2,ssSTAR)))
     => ssAccess(X0,authObj(X1,X2,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax138) ).

fof(f141,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ( ssProfile(profileEntry(X1,authObj(X4,X5,X6)))
          & ssHolds(X0,X1) )
        | ( ssSingleRole(singleRoleEntry(X2,authObj(X4,X5,X6)))
          & ssHolds(X0,X2) )
        | ( ssCompositeRole(compositeRoleEntry(X3,X2))
          & ssSingleRole(singleRoleEntry(X2,authObj(X4,X5,X6)))
          & ssHolds(X0,X3) ) )
     => ssUserProfile(userProfileEntry(X0,authObj(X4,X5,X6))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax141) ).

fof(f142,axiom,
    ! [X0,X1,X2,X3] :
      ( ( ssAccess(X0,authObj(ssS_TCODE,ssTCD,ssME51N))
        & ssAccess(X0,authObj(ssM_BANF_WRK,ssACTVT,np__1))
        & ssAccess(X0,authObj(ssM_BANF_WRK,ssWERKS,X1))
        & ssAccess(X0,authObj(ssM_BANF_BSA,ssACTVT,np__1))
        & ssAccess(X0,authObj(ssM_BANF_BSA,ssBSART,X2))
        & ssAccess(X0,authObj(ssM_BANF_EKG,ssACTVT,np__1))
        & ssAccess(X0,authObj(ssM_BANF_EKG,ssEKGRP,X3)) )
     => ssAccess(X0,ssME51N) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax142) ).

fof(f149,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( ssRequisition(X2,X5,X6,X1,X3,X7,X4,X8,X9)
        & ssStandardPurchase(X2)
        & ssAccess(X0,ssME51N)
        & ssAccess(X0,authObj(ssM_BANF_WRK,ssWERKS,X1))
        & ssAccess(X0,authObj(ssM_BANF_BSA,ssBSART,X2))
        & ssAccess(X0,authObj(ssM_BANF_EKG,ssEKGRP,X3)) )
     => ssRequisitionCreated(X0,X2,X5,X6,X1,X3,X7,X4,X8,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax149) ).

fof(f155,axiom,
    ~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
        ( ssRequisition(X5,X6,X7,X1,X2,X3,X4,X8,X9)
       => ( ssRequisitionCreated(X0,X5,X6,X7,X1,X2,X3,X4,X8,X9)
          & ssRequisitionReleased(X0,X5,X6,X7,X1,X2,X3,X4,X8,X9)
          & ssOrderCreated(X0,X5,X6,X7,X1,X2,X3,X4,X8,X9) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax155) ).

fof(f158,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ssRequisition(X4,X5,X6,X0,ssINF,X2,X3,X7,X8)
     => ssRequisitionCreated(ssMUELLER,X4,X5,X6,ssINF,X1,X2,X3,X7,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f159,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
        ( ssRequisition(X4,X5,X6,X0,ssINF,X2,X3,X7,X8)
       => ssRequisitionCreated(ssMUELLER,X4,X5,X6,ssINF,X1,X2,X3,X7,X8) ),
    inference(negated_conjecture,[status(cth)],[f158]) ).

fof(f160,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ( ssSingleRole(singleRoleEntry(X2,authObj(X4,X5,X6)))
          & ssHolds(X0,X2) )
        | ( ssCompositeRole(compositeRoleEntry(X3,X2))
          & ssSingleRole(singleRoleEntry(X2,authObj(X4,X5,X6)))
          & ssHolds(X0,X3) ) )
     => ssUserProfile(userProfileEntry(X0,authObj(X4,X5,X6))) ),
    inference(pure_predicate_removal,[],[f141]) ).

fof(f170,plain,
    ! [X0,X1,X2,X3] :
      ( ssAccess(X0,authObj(X1,X2,X3))
      | ~ ssUserProfile(userProfileEntry(X0,authObj(X1,X2,X3))) ),
    inference(ennf_transformation,[],[f137]) ).

fof(f171,plain,
    ! [X0,X1,X2,X3] :
      ( ssAccess(X0,authObj(X1,X2,X3))
      | ~ ssUserProfile(userProfileEntry(X0,authObj(X1,X2,ssSTAR))) ),
    inference(ennf_transformation,[],[f138]) ).

fof(f174,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ssUserProfile(userProfileEntry(X0,authObj(X4,X5,X6)))
      | ( ( ~ ssSingleRole(singleRoleEntry(X2,authObj(X4,X5,X6)))
          | ~ ssHolds(X0,X2) )
        & ( ~ ssCompositeRole(compositeRoleEntry(X3,X2))
          | ~ ssSingleRole(singleRoleEntry(X2,authObj(X4,X5,X6)))
          | ~ ssHolds(X0,X3) ) ) ),
    inference(ennf_transformation,[],[f160]) ).

fof(f175,plain,
    ! [X0,X1,X2,X3] :
      ( ssAccess(X0,ssME51N)
      | ~ ssAccess(X0,authObj(ssS_TCODE,ssTCD,ssME51N))
      | ~ ssAccess(X0,authObj(ssM_BANF_WRK,ssACTVT,np__1))
      | ~ ssAccess(X0,authObj(ssM_BANF_WRK,ssWERKS,X1))
      | ~ ssAccess(X0,authObj(ssM_BANF_BSA,ssACTVT,np__1))
      | ~ ssAccess(X0,authObj(ssM_BANF_BSA,ssBSART,X2))
      | ~ ssAccess(X0,authObj(ssM_BANF_EKG,ssACTVT,np__1))
      | ~ ssAccess(X0,authObj(ssM_BANF_EKG,ssEKGRP,X3)) ),
    inference(ennf_transformation,[],[f142]) ).

fof(f176,plain,
    ! [X0,X1,X2,X3] :
      ( ssAccess(X0,ssME51N)
      | ~ ssAccess(X0,authObj(ssS_TCODE,ssTCD,ssME51N))
      | ~ ssAccess(X0,authObj(ssM_BANF_WRK,ssACTVT,np__1))
      | ~ ssAccess(X0,authObj(ssM_BANF_WRK,ssWERKS,X1))
      | ~ ssAccess(X0,authObj(ssM_BANF_BSA,ssACTVT,np__1))
      | ~ ssAccess(X0,authObj(ssM_BANF_BSA,ssBSART,X2))
      | ~ ssAccess(X0,authObj(ssM_BANF_EKG,ssACTVT,np__1))
      | ~ ssAccess(X0,authObj(ssM_BANF_EKG,ssEKGRP,X3)) ),
    inference(flattening,[],[f175]) ).

fof(f189,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ssRequisitionCreated(X0,X2,X5,X6,X1,X3,X7,X4,X8,X9)
      | ~ ssRequisition(X2,X5,X6,X1,X3,X7,X4,X8,X9)
      | ~ ssStandardPurchase(X2)
      | ~ ssAccess(X0,ssME51N)
      | ~ ssAccess(X0,authObj(ssM_BANF_WRK,ssWERKS,X1))
      | ~ ssAccess(X0,authObj(ssM_BANF_BSA,ssBSART,X2))
      | ~ ssAccess(X0,authObj(ssM_BANF_EKG,ssEKGRP,X3)) ),
    inference(ennf_transformation,[],[f149]) ).

fof(f190,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ssRequisitionCreated(X0,X2,X5,X6,X1,X3,X7,X4,X8,X9)
      | ~ ssRequisition(X2,X5,X6,X1,X3,X7,X4,X8,X9)
      | ~ ssStandardPurchase(X2)
      | ~ ssAccess(X0,ssME51N)
      | ~ ssAccess(X0,authObj(ssM_BANF_WRK,ssWERKS,X1))
      | ~ ssAccess(X0,authObj(ssM_BANF_BSA,ssBSART,X2))
      | ~ ssAccess(X0,authObj(ssM_BANF_EKG,ssEKGRP,X3)) ),
    inference(flattening,[],[f189]) ).

fof(f200,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( ~ ssRequisitionCreated(X0,X5,X6,X7,X1,X2,X3,X4,X8,X9)
        | ~ ssRequisitionReleased(X0,X5,X6,X7,X1,X2,X3,X4,X8,X9)
        | ~ ssOrderCreated(X0,X5,X6,X7,X1,X2,X3,X4,X8,X9) )
      & ssRequisition(X5,X6,X7,X1,X2,X3,X4,X8,X9) ),
    inference(ennf_transformation,[],[f155]) ).

fof(f203,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ ssRequisitionCreated(ssMUELLER,X4,X5,X6,ssINF,X1,X2,X3,X7,X8)
      & ssRequisition(X4,X5,X6,X0,ssINF,X2,X3,X7,X8) ),
    inference(ennf_transformation,[],[f159]) ).

fof(f206,plain,
    ! [X0,X2,X3,X4,X5,X6] :
      ( ssUserProfile(userProfileEntry(X0,authObj(X4,X5,X6)))
      | ( ( ~ ssSingleRole(singleRoleEntry(X2,authObj(X4,X5,X6)))
          | ~ ssHolds(X0,X2) )
        & ( ~ ssCompositeRole(compositeRoleEntry(X3,X2))
          | ~ ssSingleRole(singleRoleEntry(X2,authObj(X4,X5,X6)))
          | ~ ssHolds(X0,X3) ) ) ),
    inference(rectify,[],[f174]) ).

fof(f222,plain,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssS_TCODE,ssTCD,ssME51N))),
    inference(cnf_transformation,[],[f12]) ).

fof(f223,plain,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_WRK,ssACTVT,np__1))),
    inference(cnf_transformation,[],[f13]) ).

fof(f226,plain,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_WRK,ssWERKS,ssINF))),
    inference(cnf_transformation,[],[f16]) ).

fof(f227,plain,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_BSA,ssACTVT,ssSTAR))),
    inference(cnf_transformation,[],[f17]) ).

fof(f228,plain,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_BSA,ssBSART,ssSTAR))),
    inference(cnf_transformation,[],[f18]) ).

fof(f229,plain,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_EKG,ssACTVT,ssSTAR))),
    inference(cnf_transformation,[],[f19]) ).

fof(f230,plain,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_EKG,ssEKGRP,ssI26))),
    inference(cnf_transformation,[],[f20]) ).

fof(f324,plain,
    ssHolds(ssMUELLER,ssZBANF_WRK_INF_ED),
    inference(cnf_transformation,[],[f114]) ).

fof(f328,plain,
    ssStandardPurchase(ssNB),
    inference(cnf_transformation,[],[f118]) ).

fof(f353,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssUserProfile(userProfileEntry(X0,authObj(X1,X2,X3)))
      | ssAccess(X0,authObj(X1,X2,X3)) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f354,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssUserProfile(userProfileEntry(X0,authObj(X1,X2,ssSTAR)))
      | ssAccess(X0,authObj(X1,X2,X3)) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f359,plain,
    ! [X2,X0,X6,X4,X5] :
      ( ~ ssSingleRole(singleRoleEntry(X2,authObj(X4,X5,X6)))
      | ssUserProfile(userProfileEntry(X0,authObj(X4,X5,X6)))
      | ~ ssHolds(X0,X2) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f360,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssAccess(X0,authObj(ssM_BANF_WRK,ssWERKS,X1))
      | ~ ssAccess(X0,authObj(ssS_TCODE,ssTCD,ssME51N))
      | ~ ssAccess(X0,authObj(ssM_BANF_WRK,ssACTVT,np__1))
      | ssAccess(X0,ssME51N)
      | ~ ssAccess(X0,authObj(ssM_BANF_BSA,ssACTVT,np__1))
      | ~ ssAccess(X0,authObj(ssM_BANF_BSA,ssBSART,X2))
      | ~ ssAccess(X0,authObj(ssM_BANF_EKG,ssACTVT,np__1))
      | ~ ssAccess(X0,authObj(ssM_BANF_EKG,ssEKGRP,X3)) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f367,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ssRequisitionCreated(X0,X2,X5,X6,X1,X3,X7,X4,X8,X9)
      | ~ ssRequisition(X2,X5,X6,X1,X3,X7,X4,X8,X9)
      | ~ ssStandardPurchase(X2)
      | ~ ssAccess(X0,ssME51N)
      | ~ ssAccess(X0,authObj(ssM_BANF_WRK,ssWERKS,X1))
      | ~ ssAccess(X0,authObj(ssM_BANF_BSA,ssBSART,X2))
      | ~ ssAccess(X0,authObj(ssM_BANF_EKG,ssEKGRP,X3)) ),
    inference(cnf_transformation,[],[f190]) ).

fof(f381,plain,
    ! [X2,X3,X1,X8,X6,X9,X7,X4,X5] : ssRequisition(X5,X6,X7,X1,X2,X3,X4,X8,X9),
    inference(cnf_transformation,[],[f200]) ).

fof(f386,plain,
    ! [X2,X3,X1,X8,X6,X7,X4,X5] : ~ ssRequisitionCreated(ssMUELLER,X4,X5,X6,ssINF,X1,X2,X3,X7,X8),
    inference(cnf_transformation,[],[f203]) ).

fof(f390,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ ssStandardPurchase(X2)
      | ssRequisitionCreated(X0,X2,X5,X6,X1,X3,X7,X4,X8,X9)
      | ~ ssAccess(X0,ssME51N)
      | ~ ssAccess(X0,authObj(ssM_BANF_WRK,ssWERKS,X1))
      | ~ ssAccess(X0,authObj(ssM_BANF_BSA,ssBSART,X2))
      | ~ ssAccess(X0,authObj(ssM_BANF_EKG,ssEKGRP,X3)) ),
    inference(forward_subsumption_resolution,[],[f367,f381]) ).

fof(f408,plain,
    ! [X0] :
      ( ~ ssHolds(X0,ssZBANF_WRK_INF_ED)
      | ssUserProfile(userProfileEntry(X0,authObj(ssS_TCODE,ssTCD,ssME51N))) ),
    inference(resolution,[],[f359,f222]) ).

fof(f409,plain,
    ! [X0] :
      ( ~ ssHolds(X0,ssZBANF_WRK_INF_ED)
      | ssUserProfile(userProfileEntry(X0,authObj(ssM_BANF_WRK,ssACTVT,np__1))) ),
    inference(resolution,[],[f359,f223]) ).

fof(f412,plain,
    ! [X0] :
      ( ~ ssHolds(X0,ssZBANF_WRK_INF_ED)
      | ssUserProfile(userProfileEntry(X0,authObj(ssM_BANF_BSA,ssACTVT,ssSTAR))) ),
    inference(resolution,[],[f359,f227]) ).

fof(f413,plain,
    ! [X0] :
      ( ~ ssHolds(X0,ssZBANF_WRK_INF_ED)
      | ssUserProfile(userProfileEntry(X0,authObj(ssM_BANF_BSA,ssBSART,ssSTAR))) ),
    inference(resolution,[],[f359,f228]) ).

fof(f414,plain,
    ! [X0] :
      ( ~ ssHolds(X0,ssZBANF_WRK_INF_ED)
      | ssUserProfile(userProfileEntry(X0,authObj(ssM_BANF_EKG,ssACTVT,ssSTAR))) ),
    inference(resolution,[],[f359,f229]) ).

fof(f415,plain,
    ! [X0] :
      ( ~ ssHolds(X0,ssZBANF_WRK_INF_ED)
      | ssUserProfile(userProfileEntry(X0,authObj(ssM_BANF_EKG,ssEKGRP,ssI26))) ),
    inference(resolution,[],[f359,f230]) ).

fof(f416,plain,
    ! [X0] :
      ( ~ ssHolds(X0,ssZBANF_WRK_INF_ED)
      | ssUserProfile(userProfileEntry(X0,authObj(ssM_BANF_WRK,ssWERKS,ssINF))) ),
    inference(resolution,[],[f359,f226]) ).

fof(f508,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ ssAccess(X0,authObj(ssM_BANF_WRK,ssWERKS,X3))
      | ~ ssAccess(X0,ssME51N)
      | ssRequisitionCreated(X0,ssNB,X1,X2,X3,X4,X5,X6,X7,X8)
      | ~ ssAccess(X0,authObj(ssM_BANF_BSA,ssBSART,ssNB))
      | ~ ssAccess(X0,authObj(ssM_BANF_EKG,ssEKGRP,X4)) ),
    inference(resolution,[],[f390,f328]) ).

fof(f509,plain,
    ssUserProfile(userProfileEntry(ssMUELLER,authObj(ssS_TCODE,ssTCD,ssME51N))),
    inference(resolution,[],[f408,f324]) ).

fof(f510,plain,
    ssAccess(ssMUELLER,authObj(ssS_TCODE,ssTCD,ssME51N)),
    inference(resolution,[],[f509,f353]) ).

fof(f512,plain,
    ssUserProfile(userProfileEntry(ssMUELLER,authObj(ssM_BANF_WRK,ssACTVT,np__1))),
    inference(resolution,[],[f409,f324]) ).

fof(f514,plain,
    ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssACTVT,np__1)),
    inference(resolution,[],[f512,f353]) ).

fof(f520,plain,
    ssUserProfile(userProfileEntry(ssMUELLER,authObj(ssM_BANF_BSA,ssACTVT,ssSTAR))),
    inference(resolution,[],[f412,f324]) ).

fof(f521,plain,
    ssUserProfile(userProfileEntry(ssMUELLER,authObj(ssM_BANF_BSA,ssBSART,ssSTAR))),
    inference(resolution,[],[f413,f324]) ).

fof(f522,plain,
    ! [X0] : ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssACTVT,X0)),
    inference(resolution,[],[f520,f354]) ).

fof(f524,plain,
    ssUserProfile(userProfileEntry(ssMUELLER,authObj(ssM_BANF_EKG,ssACTVT,ssSTAR))),
    inference(resolution,[],[f414,f324]) ).

fof(f525,plain,
    ssUserProfile(userProfileEntry(ssMUELLER,authObj(ssM_BANF_EKG,ssEKGRP,ssI26))),
    inference(resolution,[],[f415,f324]) ).

fof(f526,plain,
    ssUserProfile(userProfileEntry(ssMUELLER,authObj(ssM_BANF_WRK,ssWERKS,ssINF))),
    inference(resolution,[],[f416,f324]) ).

fof(f527,plain,
    ! [X0] : ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssBSART,X0)),
    inference(resolution,[],[f521,f354]) ).

fof(f529,plain,
    ! [X0] : ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssACTVT,X0)),
    inference(resolution,[],[f524,f354]) ).

fof(f531,plain,
    ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssEKGRP,ssI26)),
    inference(resolution,[],[f525,f353]) ).

fof(f532,plain,
    ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssWERKS,ssINF)),
    inference(resolution,[],[f526,f353]) ).

fof(f536,plain,
    ! [X0,X1] :
      ( ~ ssAccess(ssMUELLER,authObj(ssS_TCODE,ssTCD,ssME51N))
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssACTVT,np__1))
      | ssAccess(ssMUELLER,ssME51N)
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssACTVT,np__1))
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssBSART,X0))
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssACTVT,np__1))
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssEKGRP,X1)) ),
    inference(resolution,[],[f532,f360]) ).

fof(f537,plain,
    ! [X0,X1] :
      ( ~ ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssACTVT,np__1))
      | ssAccess(ssMUELLER,ssME51N)
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssACTVT,np__1))
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssBSART,X0))
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssACTVT,np__1))
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssEKGRP,X1)) ),
    inference(forward_subsumption_resolution,[],[f536,f510]) ).

fof(f541,plain,
    ! [X0,X1] :
      ( ssAccess(ssMUELLER,ssME51N)
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssACTVT,np__1))
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssBSART,X0))
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssACTVT,np__1))
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssEKGRP,X1)) ),
    inference(forward_subsumption_resolution,[],[f537,f514]) ).

fof(f545,plain,
    ! [X0,X1] :
      ( ssAccess(ssMUELLER,ssME51N)
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssBSART,X0))
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssACTVT,np__1))
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssEKGRP,X1)) ),
    inference(forward_subsumption_resolution,[],[f541,f522]) ).

fof(f549,plain,
    ! [X0,X1] :
      ( ssAccess(ssMUELLER,ssME51N)
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssBSART,X0))
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssEKGRP,X1)) ),
    inference(forward_subsumption_resolution,[],[f545,f529]) ).

fof(f553,plain,
    ! [X1] :
      ( ssAccess(ssMUELLER,ssME51N)
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssEKGRP,X1)) ),
    inference(forward_subsumption_resolution,[],[f549,f527]) ).

fof(f558,definition,
    ( spl3_1
  <=> ! [X1] : ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssEKGRP,X1)) ),
    introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).

fof(f559,plain,
    ( ! [X1] : ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssEKGRP,X1))
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f561,definition,
    ( spl3_2
  <=> ssAccess(ssMUELLER,ssME51N) ),
    introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).

fof(f563,plain,
    ( ssAccess(ssMUELLER,ssME51N)
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f564,plain,
    ( spl3_1
    | spl3_2 ),
    inference(avatar_split_clause,[],[f553,f561,f558]) ).

fof(f699,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ ssAccess(ssMUELLER,ssME51N)
      | ssRequisitionCreated(ssMUELLER,ssNB,X0,X1,ssINF,X2,X3,X4,X5,X6)
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssBSART,ssNB))
      | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssEKGRP,X2)) ),
    inference(resolution,[],[f508,f532]) ).

fof(f700,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] :
        ( ssRequisitionCreated(ssMUELLER,ssNB,X0,X1,ssINF,X2,X3,X4,X5,X6)
        | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssBSART,ssNB))
        | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssEKGRP,X2)) )
    | ~ spl3_2 ),
    inference(forward_subsumption_resolution,[],[f699,f563]) ).

fof(f701,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] :
        ( ssRequisitionCreated(ssMUELLER,ssNB,X0,X1,ssINF,X2,X3,X4,X5,X6)
        | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssEKGRP,X2)) )
    | ~ spl3_2 ),
    inference(forward_subsumption_resolution,[],[f700,f527]) ).

fof(f702,plain,
    ( ! [X2] : ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssEKGRP,X2))
    | ~ spl3_2 ),
    inference(forward_subsumption_resolution,[],[f701,f386]) ).

fof(f703,plain,
    ( spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f702,f561,f558]) ).

fof(f704,plain,
    ( $false
    | ~ spl3_1 ),
    inference(resolution,[],[f559,f531]) ).

fof(f705,plain,
    ~ spl3_1,
    inference(avatar_contradiction_clause,[],[f704]) ).

cnf(s1,plain,
    ( spl3_1
    | spl3_2 ),
    inference(sat_conversion,[],[f564]) ).

cnf(s5,plain,
    ( spl3_1
    | ~ spl3_2 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s6,plain,
    ~ spl3_1,
    inference(sat_conversion,[],[f705]) ).

cnf(s7,plain,
    ~ spl3_2,
    inference(rat,[],[s5,s6]) ).

cnf(s11,plain,
    $false,
    inference(rat,[],[s1,s7,s6]) ).

fof(f706,plain,
    $false,
    inference(avatar_sat_refutation,[],[s11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT067+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38  % Computer : n014.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Sun Sep 27 17:33:01 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42  Running first-order model finding
% 0.10/0.42  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.47  % (1047710)Will run a generic schedule for satisfiability detection.
% 0.17/0.47  % (1047730)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=907252423:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47  % (1047726)% WARNING: option uhcvi not known.
% 0.17/0.47  % (1047730) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1047710-1047730"...
% 0.17/0.47  % (1047726)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4241132330:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47  % (1047724)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1100115997_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47  % (1047727)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2469181050:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47  % (1047728)dis+10_1_sil=32000:sp=arity:random_seed=27194236:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47  % (1047731)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1483578228:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47  % (1047729)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2732670007:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47  % (1047730)...printing done.
% 0.17/0.47  % (1047730)Refutation found. Thanks to Tanya!
% 0.17/0.47  % SZS status Theorem for theBenchmark
% 0.17/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47  % (1047730)------------------------------
% 0.17/0.47  % (1047730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47  % (1047730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47  % (1047730)CaDiCaL version: 2.1.3
% 0.17/0.47  % (1047730)Termination reason: Refutation
% 0.17/0.47  % (1047730)Time elapsed: 0.007 s
% 0.17/0.47  % (1047730)Peak memory usage: 12 MB
% 0.17/0.47  % (1047730)Instructions burned: 21 (million)
% 0.17/0.47  % (1047710)Success in time 0.046 s
% 0.17/0.47  % Vampire exiting
%------------------------------------------------------------------------------