%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n015.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 12:02:19 PM UTC 2026
% Result : Theorem 1.52s 1.72s
% Output : Refutation 5.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 25
% Syntax : Number of formulae : 118 ( 38 unt; 9 def)
% Number of atoms : 330 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 389 ( 177 ~; 170 |; 24 &)
% ( 9 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 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 : 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] :
( ssUserProfile(userProfileEntry(X0,authObj(X4,X5,X6)))
| ~ ssSingleRole(singleRoleEntry(X2,authObj(X4,X5,X6)))
| ~ ssHolds(X0,X2) ),
inference(cnf_transformation,[],[f206]) ).
fof(f360,plain,
! [X2,X3,X0,X1] :
( 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(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(f388,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ ssAccess(X0,ssME51N)
| ~ ssStandardPurchase(X2)
| ssRequisitionCreated(X0,X2,X5,X6,X1,X3,X7,X4,X8,X9)
| ~ 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,
! [X2,X3,X0,X1,X4] :
( ssAccess(X4,authObj(X1,X2,X3))
| ~ ssHolds(X4,X0)
| ~ ssSingleRole(singleRoleEntry(X0,authObj(X1,X2,X3))) ),
inference(resolution,[],[f359,f353]) ).
fof(f409,plain,
! [X2,X3,X0,X1,X4] :
( ssAccess(X3,authObj(X1,X2,X4))
| ~ ssHolds(X3,X0)
| ~ ssSingleRole(singleRoleEntry(X0,authObj(X1,X2,ssSTAR))) ),
inference(resolution,[],[f359,f354]) ).
fof(f420,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ ssStandardPurchase(X4)
| ~ 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,authObj(ssS_TCODE,ssTCD,ssME51N))
| ssRequisitionCreated(X0,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssAccess(X0,authObj(ssM_BANF_WRK,ssWERKS,X7))
| ~ ssAccess(X0,authObj(ssM_BANF_BSA,ssBSART,X4))
| ~ ssAccess(X0,authObj(ssM_BANF_EKG,ssEKGRP,X8)) ),
inference(resolution,[],[f360,f388]) ).
fof(f426,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ssRequisitionCreated(X0,ssNB,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ 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,authObj(ssS_TCODE,ssTCD,ssME51N))
| ~ ssAccess(X0,authObj(ssM_BANF_WRK,ssACTVT,np__1))
| ~ ssAccess(X0,authObj(ssM_BANF_WRK,ssWERKS,X6))
| ~ ssAccess(X0,authObj(ssM_BANF_BSA,ssBSART,ssNB))
| ~ ssAccess(X0,authObj(ssM_BANF_EKG,ssEKGRP,X7)) ),
inference(resolution,[],[f420,f328]) ).
fof(f433,plain,
! [X2,X3,X0,X1] :
( ~ ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssWERKS,X0))
| ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssACTVT,np__1))
| ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssBSART,X1))
| ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssACTVT,np__1))
| ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssEKGRP,X2))
| ~ ssAccess(ssMUELLER,authObj(ssS_TCODE,ssTCD,ssME51N))
| ~ ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssACTVT,np__1))
| ~ ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssWERKS,ssINF))
| ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssBSART,ssNB))
| ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssEKGRP,X3)) ),
inference(resolution,[],[f426,f386]) ).
fof(f435,definition,
( spl3_1
<=> ! [X3] : ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssEKGRP,X3)) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f436,plain,
( ! [X3] : ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssEKGRP,X3))
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f438,definition,
( spl3_2
<=> ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssBSART,ssNB)) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f439,plain,
( ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssBSART,ssNB))
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f440,plain,
( ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssBSART,ssNB))
| spl3_2 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f442,definition,
( spl3_3
<=> ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssWERKS,ssINF)) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f443,plain,
( ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssWERKS,ssINF))
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f444,plain,
( ~ ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssWERKS,ssINF))
| spl3_3 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f446,definition,
( spl3_4
<=> ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssACTVT,np__1)) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f448,plain,
( ~ ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssACTVT,np__1))
| spl3_4 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f450,definition,
( spl3_5
<=> ssAccess(ssMUELLER,authObj(ssS_TCODE,ssTCD,ssME51N)) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f452,plain,
( ~ ssAccess(ssMUELLER,authObj(ssS_TCODE,ssTCD,ssME51N))
| spl3_5 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f454,definition,
( spl3_6
<=> ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssACTVT,np__1)) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
fof(f456,plain,
( ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssACTVT,np__1))
| spl3_6 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f458,definition,
( spl3_7
<=> ! [X1] : ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssBSART,X1)) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
fof(f459,plain,
( ! [X1] : ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssBSART,X1))
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f461,definition,
( spl3_8
<=> ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssACTVT,np__1)) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
fof(f463,plain,
( ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssACTVT,np__1))
| spl3_8 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f465,definition,
( spl3_9
<=> ! [X0] : ~ ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssWERKS,X0)) ),
introduced(definition,[new_symbols(definition,[spl3_9])],[avatar_definition]) ).
fof(f466,plain,
( ! [X0] : ~ ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssWERKS,X0))
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f467,plain,
( spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| spl3_1
| ~ spl3_6
| spl3_7
| ~ spl3_8
| spl3_9 ),
inference(avatar_split_clause,[],[f433,f465,f461,f458,f454,f435,f450,f446,f442,f438,f435]) ).
fof(f472,plain,
( ! [X0] :
( ~ ssHolds(ssMUELLER,X0)
| ~ ssSingleRole(singleRoleEntry(X0,authObj(ssM_BANF_BSA,ssBSART,ssSTAR))) )
| spl3_2 ),
inference(resolution,[],[f440,f409]) ).
fof(f476,plain,
( ~ ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_BSA,ssBSART,ssSTAR)))
| spl3_2 ),
inference(resolution,[],[f472,f324]) ).
fof(f477,plain,
( $false
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f476,f228]) ).
fof(f478,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f477]) ).
fof(f486,plain,
( ! [X0] :
( ~ ssHolds(ssMUELLER,X0)
| ~ ssSingleRole(singleRoleEntry(X0,authObj(ssM_BANF_WRK,ssWERKS,ssINF))) )
| spl3_3 ),
inference(resolution,[],[f444,f408]) ).
fof(f490,plain,
( ~ ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_WRK,ssWERKS,ssINF)))
| spl3_3 ),
inference(resolution,[],[f486,f324]) ).
fof(f491,plain,
( $false
| spl3_3 ),
inference(forward_subsumption_resolution,[],[f490,f226]) ).
fof(f492,plain,
spl3_3,
inference(avatar_contradiction_clause,[],[f491]) ).
fof(f496,plain,
( ! [X0] :
( ~ ssHolds(ssMUELLER,X0)
| ~ ssSingleRole(singleRoleEntry(X0,authObj(ssM_BANF_WRK,ssACTVT,np__1))) )
| spl3_4 ),
inference(resolution,[],[f448,f408]) ).
fof(f499,plain,
( ~ ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_WRK,ssACTVT,np__1)))
| spl3_4 ),
inference(resolution,[],[f496,f324]) ).
fof(f500,plain,
( $false
| spl3_4 ),
inference(forward_subsumption_resolution,[],[f499,f223]) ).
fof(f501,plain,
spl3_4,
inference(avatar_contradiction_clause,[],[f500]) ).
fof(f505,plain,
( ! [X0] :
( ~ ssHolds(ssMUELLER,X0)
| ~ ssSingleRole(singleRoleEntry(X0,authObj(ssS_TCODE,ssTCD,ssME51N))) )
| spl3_5 ),
inference(resolution,[],[f452,f408]) ).
fof(f507,plain,
( ~ ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssS_TCODE,ssTCD,ssME51N)))
| spl3_5 ),
inference(resolution,[],[f505,f324]) ).
fof(f508,plain,
( $false
| spl3_5 ),
inference(forward_subsumption_resolution,[],[f507,f222]) ).
fof(f509,plain,
spl3_5,
inference(avatar_contradiction_clause,[],[f508]) ).
fof(f512,plain,
( ! [X0] :
( ~ ssHolds(ssMUELLER,X0)
| ~ ssSingleRole(singleRoleEntry(X0,authObj(ssM_BANF_EKG,ssACTVT,ssSTAR))) )
| spl3_6 ),
inference(resolution,[],[f456,f409]) ).
fof(f514,plain,
( ~ ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_EKG,ssACTVT,ssSTAR)))
| spl3_6 ),
inference(resolution,[],[f512,f324]) ).
fof(f515,plain,
( $false
| spl3_6 ),
inference(forward_subsumption_resolution,[],[f514,f229]) ).
fof(f516,plain,
spl3_6,
inference(avatar_contradiction_clause,[],[f515]) ).
fof(f519,plain,
( ! [X0] :
( ~ ssHolds(ssMUELLER,X0)
| ~ ssSingleRole(singleRoleEntry(X0,authObj(ssM_BANF_BSA,ssACTVT,ssSTAR))) )
| spl3_8 ),
inference(resolution,[],[f463,f409]) ).
fof(f521,plain,
( ~ ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_BSA,ssACTVT,ssSTAR)))
| spl3_8 ),
inference(resolution,[],[f519,f324]) ).
fof(f522,plain,
( $false
| spl3_8 ),
inference(forward_subsumption_resolution,[],[f521,f227]) ).
fof(f523,plain,
spl3_8,
inference(avatar_contradiction_clause,[],[f522]) ).
fof(f524,plain,
( $false
| ~ spl3_2
| ~ spl3_7 ),
inference(resolution,[],[f459,f439]) ).
fof(f529,plain,
( ~ spl3_2
| ~ spl3_7 ),
inference(avatar_contradiction_clause,[],[f524]) ).
fof(f530,plain,
( $false
| ~ spl3_3
| ~ spl3_9 ),
inference(resolution,[],[f466,f443]) ).
fof(f535,plain,
( ~ spl3_3
| ~ spl3_9 ),
inference(avatar_contradiction_clause,[],[f530]) ).
fof(f539,plain,
( ! [X0,X1] :
( ~ ssHolds(ssMUELLER,X0)
| ~ ssSingleRole(singleRoleEntry(X0,authObj(ssM_BANF_EKG,ssEKGRP,X1))) )
| ~ spl3_1 ),
inference(resolution,[],[f436,f408]) ).
fof(f540,plain,
( ! [X0] : ~ ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_EKG,ssEKGRP,X0)))
| ~ spl3_1 ),
inference(resolution,[],[f539,f324]) ).
fof(f541,plain,
( $false
| ~ spl3_1 ),
inference(resolution,[],[f540,f230]) ).
fof(f542,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f541]) ).
cnf(s1,plain,
( spl3_1
| spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| spl3_7
| ~ spl3_8
| spl3_9 ),
inference(sat_conversion,[],[f467]) ).
cnf(s2,plain,
( spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| spl3_7
| ~ spl3_8
| spl3_9 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
spl3_2,
inference(sat_conversion,[],[f478]) ).
cnf(s4,plain,
spl3_3,
inference(sat_conversion,[],[f492]) ).
cnf(s5,plain,
spl3_4,
inference(sat_conversion,[],[f501]) ).
cnf(s6,plain,
spl3_5,
inference(sat_conversion,[],[f509]) ).
cnf(s7,plain,
spl3_6,
inference(sat_conversion,[],[f516]) ).
cnf(s8,plain,
spl3_8,
inference(sat_conversion,[],[f523]) ).
cnf(s9,plain,
( ~ spl3_2
| ~ spl3_7 ),
inference(sat_conversion,[],[f529]) ).
cnf(s10,plain,
( ~ spl3_3
| ~ spl3_9 ),
inference(sat_conversion,[],[f535]) ).
cnf(s11,plain,
~ spl3_1,
inference(sat_conversion,[],[f542]) ).
cnf(s12,plain,
~ spl3_9,
inference(rat,[],[s10,s4]) ).
cnf(s13,plain,
~ spl3_7,
inference(rat,[],[s9,s3]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s2,s12,s8,s13,s7,s6,s5,s4,s3,s11]) ).
fof(f543,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : MGT067+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.44 % Computer : n015.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Sun Sep 27 17:36:31 UTC 2026
% 0.16/0.45 % CPUTime :
% 0.16/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.52/1.72 % (1888785)Detected formulas, will run a generic FOF schedule.
% 1.52/1.72 % (1888796)dis-21_1_sil=8000:lcm=predicate:random_seed=1451170848:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.52/1.72 % (1888795)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=763823470:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.52/1.72 % (1888795)First to succeed.
% 1.52/1.72 % (1888795)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1888785"
% 1.52/1.72 % (1888796)Instruction limit reached!
% 1.52/1.72 % (1888796)------------------------------
% 1.52/1.72 % (1888796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.52/1.72 % (1888796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/1.72 % (1888796)CaDiCaL version: 2.1.3
% 1.52/1.72 % (1888796)Termination reason: Instruction limit
% 1.52/1.72 % (1888796)Termination phase: Saturation
% 1.52/1.72 % (1888796)Time elapsed: 0.057 s
% 1.52/1.72 % (1888796)Peak memory usage: 89 MB
% 1.52/1.72 % (1888796)Instructions burned: 131 (million)
% 1.52/1.72 % (1888792)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3401340149:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.52/1.72 % (1888790)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3579296013:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.52/1.72 % (1888793)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4129308635:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.52/1.72 % (1888794)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3078381545:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.52/1.72 % (1888791)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3166660147:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.52/1.72 % (1888793)Refutation not found, incomplete strategy
% 1.52/1.72 % (1888793)------------------------------
% 1.52/1.72 % (1888793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.52/1.72 % (1888793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/1.72 % (1888793)CaDiCaL version: 2.1.3
% 1.52/1.72 % (1888794)Refutation not found, incomplete strategy
% 1.52/1.72 % (1888794)------------------------------
% 1.52/1.72 % (1888794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.52/1.72 % (1888793)Termination reason: Refutation not found, incomplete strategy
% 1.52/1.72 % (1888793)Time elapsed: 0.002 s
% 1.52/1.72 % (1888793)Peak memory usage: 86 MB
% 1.52/1.72 % (1888793)Instructions burned: 1 (million)
% 1.52/1.72 % (1888794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/1.72 % (1888794)CaDiCaL version: 2.1.3
% 1.52/1.72 % (1888794)Termination reason: Refutation not found, incomplete strategy
% 1.52/1.72 % (1888794)Time elapsed: 0.002 s
% 1.52/1.72 % (1888794)Peak memory usage: 87 MB
% 1.52/1.72 % (1888794)Instructions burned: 1 (million)
% 1.52/1.72 % (1888799)lrs+10_1_sil=8000:sp=occurrence:random_seed=2665066076:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 1.52/1.72 % (1888794)------------------------------
% 1.52/1.72 % (1888794)------------------------------
% 1.52/1.72 % (1888799)Also succeeded, but the first one will report.
% 1.52/1.72 % (1888795)Refutation found. Thanks to Tanya!
% 1.52/1.72 % SZS status Theorem for theBenchmark
% 1.52/1.72 % SZS output start Proof for theBenchmark
% See solution above
% 5.23/1.98 % (1888795)------------------------------
% 5.23/1.98 % (1888795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.23/1.98 % (1888795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.23/1.98 % (1888795)CaDiCaL version: 2.1.3
% 5.23/1.98 % (1888795)Termination reason: Refutation
% 5.23/1.98 % (1888795)Time elapsed: 0.039 s
% 5.23/1.98 % (1888795)Peak memory usage: 90 MB
% 5.23/1.98 % (1888795)Instructions burned: 68 (million)
% 5.23/1.98 % (1888795)------------------------------
% 5.23/1.98 % (1888795)------------------------------
% 5.23/1.98 % (1888785)Success in time 0.627 s
% 5.23/1.98 % Vampire exiting
%------------------------------------------------------------------------------