TSTP Solution File: MGT067+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : MGT067+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n017.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  : 600s
% DateTime : Sun Jul 17 22:26:32 EDT 2022

% Result   : Theorem 0.57s 0.73s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   50 (  14 unt;   0 nHn;  50 RR)
%            Number of literals    :  137 (   0 equ;  97 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-10 aty)
%            Number of functors    :   30 (  30 usr;  27 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ssStandardPurchase(ssNB),
    file('MGT067+1.p',unknown),
    [] ).

cnf(5,axiom,
    ssHolds(ssMUELLER,ssZBANF_WRK_INF_ED),
    file('MGT067+1.p',unknown),
    [] ).

cnf(31,axiom,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssS_TCODE,ssTCD,ssME51N))),
    file('MGT067+1.p',unknown),
    [] ).

cnf(32,axiom,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_WRK,ssACTVT,np__1))),
    file('MGT067+1.p',unknown),
    [] ).

cnf(35,axiom,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_WRK,ssWERKS,ssINF))),
    file('MGT067+1.p',unknown),
    [] ).

cnf(36,axiom,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_BSA,ssACTVT,ssSTAR))),
    file('MGT067+1.p',unknown),
    [] ).

cnf(37,axiom,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_BSA,ssBSART,ssSTAR))),
    file('MGT067+1.p',unknown),
    [] ).

cnf(38,axiom,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_EKG,ssACTVT,ssSTAR))),
    file('MGT067+1.p',unknown),
    [] ).

cnf(39,axiom,
    ssSingleRole(singleRoleEntry(ssZBANF_WRK_INF_ED,authObj(ssM_BANF_EKG,ssEKGRP,ssI26))),
    file('MGT067+1.p',unknown),
    [] ).

cnf(130,axiom,
    ssRequisition(u,v,w,x,y,z,x1,x2,x3),
    file('MGT067+1.p',unknown),
    [] ).

cnf(131,axiom,
    ~ ssRequisitionCreated(ssMUELLER,u,v,w,ssINF,x,y,z,x1,x2),
    file('MGT067+1.p',unknown),
    [] ).

cnf(132,axiom,
    ( ~ ssUserProfile(userProfileEntry(u,authObj(v,w,x)))
    | ssAccess(u,authObj(v,w,x)) ),
    file('MGT067+1.p',unknown),
    [] ).

cnf(133,axiom,
    ( ~ ssUserProfile(userProfileEntry(u,authObj(v,w,ssSTAR)))
    | ssAccess(u,authObj(v,w,x)) ),
    file('MGT067+1.p',unknown),
    [] ).

cnf(155,axiom,
    ( ~ ssSingleRole(singleRoleEntry(u,authObj(v,w,x)))
    | ~ ssHolds(y,u)
    | ssUserProfile(userProfileEntry(y,authObj(v,w,x))) ),
    file('MGT067+1.p',unknown),
    [] ).

cnf(165,axiom,
    ( ~ ssStandardPurchase(u)
    | ~ ssAccess(v,authObj(ssM_BANF_WRK,ssWERKS,w))
    | ~ ssAccess(v,authObj(ssM_BANF_BSA,ssBSART,u))
    | ~ ssAccess(v,authObj(ssM_BANF_EKG,ssEKGRP,x))
    | ~ ssRequisition(u,y,z,w,x,x1,x2,x3,x4)
    | ~ ssAccess(v,ssME51N)
    | ssRequisitionCreated(v,u,y,z,w,x,x1,x2,x3,x4) ),
    file('MGT067+1.p',unknown),
    [] ).

cnf(166,axiom,
    ( ~ ssAccess(u,authObj(ssM_BANF_BSA,ssBSART,v))
    | ~ ssAccess(u,authObj(ssM_BANF_WRK,ssWERKS,w))
    | ~ ssAccess(u,authObj(ssM_BANF_EKG,ssEKGRP,x))
    | ~ ssAccess(u,authObj(ssS_TCODE,ssTCD,ssME51N))
    | ~ ssAccess(u,authObj(ssM_BANF_WRK,ssACTVT,np__1))
    | ~ ssAccess(u,authObj(ssM_BANF_BSA,ssACTVT,np__1))
    | ~ ssAccess(u,authObj(ssM_BANF_EKG,ssACTVT,np__1))
    | ssAccess(u,ssME51N) ),
    file('MGT067+1.p',unknown),
    [] ).

cnf(178,plain,
    ( ~ ssStandardPurchase(u)
    | ~ ssAccess(v,ssME51N)
    | ~ ssAccess(v,authObj(ssM_BANF_EKG,ssEKGRP,w))
    | ~ ssAccess(v,authObj(ssM_BANF_BSA,ssBSART,u))
    | ~ ssAccess(v,authObj(ssM_BANF_WRK,ssWERKS,x))
    | ssRequisitionCreated(v,u,y,z,x,w,x1,x2,x3,x4) ),
    inference(mrr,[status(thm)],[165,130]),
    [iquote('0:MRR:165.4,130.0')] ).

cnf(182,plain,
    ( ~ ssStandardPurchase(u)
    | ~ ssAccess(ssMUELLER,ssME51N)
    | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_EKG,ssEKGRP,v))
    | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssBSART,u))
    | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssWERKS,ssINF)) ),
    inference(res,[status(thm),theory(equality)],[178,131]),
    [iquote('0:Res:178.5,131.0')] ).

cnf(406,plain,
    ( ~ ssHolds(u,ssZBANF_WRK_INF_ED)
    | ssUserProfile(userProfileEntry(u,authObj(ssM_BANF_EKG,ssEKGRP,ssI26))) ),
    inference(res,[status(thm),theory(equality)],[39,155]),
    [iquote('0:Res:39.0,155.0')] ).

cnf(407,plain,
    ( ~ ssHolds(u,ssZBANF_WRK_INF_ED)
    | ssUserProfile(userProfileEntry(u,authObj(ssM_BANF_EKG,ssACTVT,ssSTAR))) ),
    inference(res,[status(thm),theory(equality)],[38,155]),
    [iquote('0:Res:38.0,155.0')] ).

cnf(408,plain,
    ( ~ ssHolds(u,ssZBANF_WRK_INF_ED)
    | ssUserProfile(userProfileEntry(u,authObj(ssM_BANF_BSA,ssBSART,ssSTAR))) ),
    inference(res,[status(thm),theory(equality)],[37,155]),
    [iquote('0:Res:37.0,155.0')] ).

cnf(409,plain,
    ( ~ ssHolds(u,ssZBANF_WRK_INF_ED)
    | ssUserProfile(userProfileEntry(u,authObj(ssM_BANF_BSA,ssACTVT,ssSTAR))) ),
    inference(res,[status(thm),theory(equality)],[36,155]),
    [iquote('0:Res:36.0,155.0')] ).

cnf(410,plain,
    ( ~ ssHolds(u,ssZBANF_WRK_INF_ED)
    | ssUserProfile(userProfileEntry(u,authObj(ssM_BANF_WRK,ssWERKS,ssINF))) ),
    inference(res,[status(thm),theory(equality)],[35,155]),
    [iquote('0:Res:35.0,155.0')] ).

cnf(413,plain,
    ( ~ ssHolds(u,ssZBANF_WRK_INF_ED)
    | ssUserProfile(userProfileEntry(u,authObj(ssM_BANF_WRK,ssACTVT,np__1))) ),
    inference(res,[status(thm),theory(equality)],[32,155]),
    [iquote('0:Res:32.0,155.0')] ).

cnf(414,plain,
    ( ~ ssHolds(u,ssZBANF_WRK_INF_ED)
    | ssUserProfile(userProfileEntry(u,authObj(ssS_TCODE,ssTCD,ssME51N))) ),
    inference(res,[status(thm),theory(equality)],[31,155]),
    [iquote('0:Res:31.0,155.0')] ).

cnf(693,plain,
    ( ~ ssHolds(u,ssZBANF_WRK_INF_ED)
    | ssAccess(u,authObj(ssM_BANF_EKG,ssEKGRP,ssI26)) ),
    inference(res,[status(thm),theory(equality)],[406,132]),
    [iquote('0:Res:406.1,132.0')] ).

cnf(694,plain,
    ( ~ ssHolds(u,ssZBANF_WRK_INF_ED)
    | ssAccess(u,authObj(ssM_BANF_EKG,ssACTVT,v)) ),
    inference(res,[status(thm),theory(equality)],[407,133]),
    [iquote('0:Res:407.1,133.0')] ).

cnf(696,plain,
    ( ~ ssHolds(u,ssZBANF_WRK_INF_ED)
    | ssAccess(u,authObj(ssM_BANF_BSA,ssBSART,v)) ),
    inference(res,[status(thm),theory(equality)],[408,133]),
    [iquote('0:Res:408.1,133.0')] ).

cnf(700,plain,
    ( ~ ssHolds(u,ssZBANF_WRK_INF_ED)
    | ~ ssAccess(u,authObj(ssM_BANF_WRK,ssWERKS,v))
    | ~ ssAccess(u,authObj(ssM_BANF_EKG,ssEKGRP,w))
    | ~ ssAccess(u,authObj(ssS_TCODE,ssTCD,ssME51N))
    | ~ ssAccess(u,authObj(ssM_BANF_WRK,ssACTVT,np__1))
    | ~ ssAccess(u,authObj(ssM_BANF_BSA,ssACTVT,np__1))
    | ~ ssAccess(u,authObj(ssM_BANF_EKG,ssACTVT,np__1))
    | ssAccess(u,ssME51N) ),
    inference(res,[status(thm),theory(equality)],[696,166]),
    [iquote('0:Res:696.1,166.0')] ).

cnf(701,plain,
    ( ~ ssHolds(u,ssZBANF_WRK_INF_ED)
    | ~ ssAccess(u,authObj(ssM_BANF_WRK,ssWERKS,v))
    | ~ ssAccess(u,authObj(ssM_BANF_EKG,ssEKGRP,w))
    | ~ ssAccess(u,authObj(ssS_TCODE,ssTCD,ssME51N))
    | ~ ssAccess(u,authObj(ssM_BANF_WRK,ssACTVT,np__1))
    | ~ ssAccess(u,authObj(ssM_BANF_BSA,ssACTVT,np__1))
    | ssAccess(u,ssME51N) ),
    inference(mrr,[status(thm)],[700,694]),
    [iquote('0:MRR:700.6,694.1')] ).

cnf(704,plain,
    ( ~ ssHolds(u,ssZBANF_WRK_INF_ED)
    | ssAccess(u,authObj(ssM_BANF_BSA,ssACTVT,v)) ),
    inference(res,[status(thm),theory(equality)],[409,133]),
    [iquote('0:Res:409.1,133.0')] ).

cnf(706,plain,
    ( ~ ssHolds(u,ssZBANF_WRK_INF_ED)
    | ~ ssAccess(u,authObj(ssM_BANF_WRK,ssWERKS,v))
    | ~ ssAccess(u,authObj(ssM_BANF_EKG,ssEKGRP,w))
    | ~ ssAccess(u,authObj(ssS_TCODE,ssTCD,ssME51N))
    | ~ ssAccess(u,authObj(ssM_BANF_WRK,ssACTVT,np__1))
    | ssAccess(u,ssME51N) ),
    inference(mrr,[status(thm)],[701,704]),
    [iquote('0:MRR:701.5,704.1')] ).

cnf(713,plain,
    ( ~ ssHolds(u,ssZBANF_WRK_INF_ED)
    | ssAccess(u,authObj(ssM_BANF_WRK,ssWERKS,ssINF)) ),
    inference(res,[status(thm),theory(equality)],[410,132]),
    [iquote('0:Res:410.1,132.0')] ).

cnf(718,plain,
    ( ~ ssHolds(u,ssZBANF_WRK_INF_ED)
    | ssAccess(u,authObj(ssM_BANF_WRK,ssACTVT,np__1)) ),
    inference(res,[status(thm),theory(equality)],[413,132]),
    [iquote('0:Res:413.1,132.0')] ).

cnf(719,plain,
    ( ~ ssHolds(u,ssZBANF_WRK_INF_ED)
    | ~ ssAccess(u,authObj(ssM_BANF_WRK,ssWERKS,v))
    | ~ ssAccess(u,authObj(ssM_BANF_EKG,ssEKGRP,w))
    | ~ ssAccess(u,authObj(ssS_TCODE,ssTCD,ssME51N))
    | ssAccess(u,ssME51N) ),
    inference(mrr,[status(thm)],[706,718]),
    [iquote('0:MRR:706.4,718.1')] ).

cnf(720,plain,
    ( ~ ssHolds(u,ssZBANF_WRK_INF_ED)
    | ssAccess(u,authObj(ssS_TCODE,ssTCD,ssME51N)) ),
    inference(res,[status(thm),theory(equality)],[414,132]),
    [iquote('0:Res:414.1,132.0')] ).

cnf(721,plain,
    ( ~ ssHolds(u,ssZBANF_WRK_INF_ED)
    | ~ ssAccess(u,authObj(ssM_BANF_WRK,ssWERKS,v))
    | ~ ssAccess(u,authObj(ssM_BANF_EKG,ssEKGRP,w))
    | ssAccess(u,ssME51N) ),
    inference(mrr,[status(thm)],[719,720]),
    [iquote('0:MRR:719.3,720.1')] ).

cnf(1089,plain,
    ( ~ ssStandardPurchase(u)
    | ~ ssHolds(ssMUELLER,ssZBANF_WRK_INF_ED)
    | ~ ssAccess(ssMUELLER,ssME51N)
    | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssBSART,u))
    | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssWERKS,ssINF)) ),
    inference(res,[status(thm),theory(equality)],[693,182]),
    [iquote('0:Res:693.1,182.2')] ).

cnf(1092,plain,
    ( ~ ssStandardPurchase(u)
    | ~ ssAccess(ssMUELLER,ssME51N)
    | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_BSA,ssBSART,u))
    | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssWERKS,ssINF)) ),
    inference(mrr,[status(thm)],[1089,5]),
    [iquote('0:MRR:1089.1,5.0')] ).

cnf(1113,plain,
    ( ~ ssStandardPurchase(u)
    | ~ ssHolds(ssMUELLER,ssZBANF_WRK_INF_ED)
    | ~ ssAccess(ssMUELLER,ssME51N)
    | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssWERKS,ssINF)) ),
    inference(res,[status(thm),theory(equality)],[696,1092]),
    [iquote('0:Res:696.1,1092.2')] ).

cnf(1122,plain,
    ( ~ ssStandardPurchase(u)
    | ~ ssAccess(ssMUELLER,ssME51N)
    | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssWERKS,ssINF)) ),
    inference(mrr,[status(thm)],[1113,5]),
    [iquote('0:MRR:1113.1,5.0')] ).

cnf(1130,plain,
    ( ~ ssAccess(ssMUELLER,ssME51N)
    | ~ ssAccess(ssMUELLER,authObj(ssM_BANF_WRK,ssWERKS,ssINF)) ),
    inference(ems,[status(thm)],[1122,2]),
    [iquote('0:EmS:1122.0,2.0')] ).

cnf(1133,plain,
    ( ~ ssHolds(ssMUELLER,ssZBANF_WRK_INF_ED)
    | ~ ssAccess(ssMUELLER,ssME51N) ),
    inference(res,[status(thm),theory(equality)],[713,1130]),
    [iquote('0:Res:713.1,1130.1')] ).

cnf(1135,plain,
    ~ ssAccess(ssMUELLER,ssME51N),
    inference(mrr,[status(thm)],[1133,5]),
    [iquote('0:MRR:1133.0,5.0')] ).

cnf(1145,plain,
    ( ~ ssHolds(u,ssZBANF_WRK_INF_ED)
    | ~ ssHolds(u,ssZBANF_WRK_INF_ED)
    | ~ ssAccess(u,authObj(ssM_BANF_EKG,ssEKGRP,v))
    | ssAccess(u,ssME51N) ),
    inference(res,[status(thm),theory(equality)],[713,721]),
    [iquote('0:Res:713.1,721.1')] ).

cnf(1148,plain,
    ( ~ ssHolds(u,ssZBANF_WRK_INF_ED)
    | ~ ssAccess(u,authObj(ssM_BANF_EKG,ssEKGRP,v))
    | ssAccess(u,ssME51N) ),
    inference(obv,[status(thm),theory(equality)],[1145]),
    [iquote('0:Obv:1145.0')] ).

cnf(1152,plain,
    ( ~ ssHolds(u,ssZBANF_WRK_INF_ED)
    | ~ ssHolds(u,ssZBANF_WRK_INF_ED)
    | ssAccess(u,ssME51N) ),
    inference(res,[status(thm),theory(equality)],[693,1148]),
    [iquote('0:Res:693.1,1148.1')] ).

cnf(1154,plain,
    ( ~ ssHolds(u,ssZBANF_WRK_INF_ED)
    | ssAccess(u,ssME51N) ),
    inference(obv,[status(thm),theory(equality)],[1152]),
    [iquote('0:Obv:1152.0')] ).

cnf(1157,plain,
    ~ ssHolds(ssMUELLER,ssZBANF_WRK_INF_ED),
    inference(res,[status(thm),theory(equality)],[1154,1135]),
    [iquote('0:Res:1154.1,1135.0')] ).

cnf(1158,plain,
    $false,
    inference(mrr,[status(thm)],[1157,5]),
    [iquote('0:MRR:1157.0,5.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : MGT067+1 : TPTP v8.1.0. Released v5.5.0.
% 0.03/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun  9 09:49:49 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.57/0.73  
% 0.57/0.73  SPASS V 3.9 
% 0.57/0.73  SPASS beiseite: Proof found.
% 0.57/0.73  % SZS status Theorem
% 0.57/0.73  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.57/0.73  SPASS derived 811 clauses, backtracked 0 clauses, performed 0 splits and kept 936 clauses.
% 0.57/0.73  SPASS allocated 98945 KBytes.
% 0.57/0.73  SPASS spent	0:00:00.39 on the problem.
% 0.57/0.73  		0:00:00.04 for the input.
% 0.57/0.73  		0:00:00.06 for the FLOTTER CNF translation.
% 0.57/0.73  		0:00:00.02 for inferences.
% 0.57/0.73  		0:00:00.00 for the backtracking.
% 0.57/0.73  		0:00:00.20 for the reduction.
% 0.57/0.73  
% 0.57/0.73  
% 0.57/0.73  Here is a proof with depth 7, length 50 :
% 0.57/0.73  % SZS output start Refutation
% See solution above
% 0.57/0.73  Formulae used in the proof : ax118 ax114 ax12 ax13 ax16 ax17 ax18 ax19 ax20 ax155 co1 ax137 ax138 ax141 ax149 ax142
% 0.57/0.73  
%------------------------------------------------------------------------------