%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : MGT103+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n002.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 8 06:04:25 AM UTC 2026
% Result : Unsatisfiable 0.42s 0.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT103+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.02 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 7 14:41:52 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.25/0.52 start to proof:theBenchmark
% 0.42/0.60 %-------------------------------------------
% 0.42/0.60 % File :CSE---1.7
% 0.42/0.60 % Problem :theBenchmark
% 0.42/0.60 % Transform :cnf
% 0.42/0.60 % Format :tptp:raw
% 0.42/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.42/0.60
% 0.42/0.60 % Result :Theorem 0.096258s
% 0.42/0.60 % Output :CNFRefutation 0.096258s
% 0.42/0.60 %-------------------------------------------
% 0.42/0.60 %--------------------------------------------------------------------------
% 0.42/0.60 % File : MGT103+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.42/0.60 % Domain : Management
% 0.42/0.60 % Problem : intra-policy: lteq 600 AND gteq 800 gives empty denotation
% 0.42/0.60 % Version : Especial.
% 0.42/0.60 % English : Intra-policy self-contradiction.
% 0.42/0.60 % width lteq 600: (0,600]; width gteq 800: [800,infinity).
% 0.42/0.60 % (0,600] intersection [800,infinity) = null - no request
% 0.42/0.60 % satisfies both.
% 0.42/0.60
% 0.42/0.60 % Refs : [MC+26] Mustafa et al. (2026), Axis Decomposition for ODRL
% 0.42/0.60 % Source : [MC+26]
% 0.42/0.60 % Names : ODRL761-1.p [MC+26]
% 0.42/0.60
% 0.42/0.60 % Status : Unsatisfiable
% 0.42/0.60 % Rating : ? v9.3.1
% 0.42/0.60 % Syntax : Number of formulae : 34 ( 12 unt; 0 def)
% 0.42/0.60 % Number of atoms : 87 ( 26 equ)
% 0.42/0.60 % Maximal formula atoms : 7 ( 2 avg)
% 0.42/0.60 % Number of connectives : 63 ( 10 ~; 9 |; 24 &)
% 0.42/0.60 % ( 8 <=>; 12 =>; 0 <=; 0 <~>)
% 0.42/0.60 % Maximal formula depth : 9 ( 4 avg)
% 0.42/0.60 % Maximal term depth : 2 ( 1 avg)
% 0.42/0.61 % Number of predicates : 12 ( 11 usr; 0 prp; 1-4 aty)
% 0.42/0.61 % Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% 0.42/0.61 % Number of variables : 57 ( 55 !; 2 ?)
% 0.42/0.61 % SPC : FOF_UNS_RFO_SEQ
% 0.42/0.61
% 0.42/0.61 % Comments : Intra-policy self-contradiction.
% 0.42/0.61 % Bugfixes : v9.3.1 - $distinct expanded to inequalities.
% 0.42/0.61 %--------------------------------------------------------------------------
% 0.42/0.61 include('Axioms/MGT002+0.ax').
% 0.42/0.61 include('Axioms/MGT002+2.ax').
% 0.42/0.61 %--------------------------------------------------------------------------
% 0.42/0.61 %----Named constants and ordering
% 0.42/0.61 fof(val_v0,axiom,
% 0.42/0.61 val(v0) ).
% 0.42/0.61
% 0.42/0.61 fof(val_v600,axiom,
% 0.42/0.61 val(v600) ).
% 0.42/0.61
% 0.42/0.61 fof(val_v800,axiom,
% 0.42/0.61 val(v800) ).
% 0.42/0.61
% 0.42/0.61 fof(ord_v0_v600,axiom,
% 0.42/0.61 less(v0,v600) ).
% 0.42/0.61
% 0.42/0.61 fof(ord_v600_v800,axiom,
% 0.42/0.61 less(v600,v800) ).
% 0.42/0.61
% 0.42/0.61 fof(distinct,axiom,
% 0.42/0.61 ( v0 != v600
% 0.42/0.61 & v0 != v800
% 0.42/0.61 & v600 != v800 ) ).
% 0.42/0.61
% 0.42/0.61 fof(contradiction,axiom,
% 0.42/0.61 ( less(v800,v600)
% 0.42/0.61 & less(v600,v800) ) ).
% 0.42/0.61
% 0.42/0.61 %----No conjecture - contradiction in axioms
% 0.42/0.61 %--------------------------------------------------------------------------
% 0.42/0.61 %-------------------------------------------
% 0.42/0.61 % Proof found
% 0.42/0.61 % SZS status Theorem for theBenchmark
% 0.42/0.61 % SZS output start Proof
% 0.42/0.61 %ClaNum:102(EqnAxiom:47)
% 0.42/0.61 %VarNum:252(SingletonVarNum:111)
% 0.42/0.61 %MaxLitNum:6
% 0.42/0.61 %MaxfuncDepth:1
% 0.42/0.61 %SharedTerms:21
% 0.42/0.61 [48]P1(a1)
% 0.42/0.61 [49]P1(a2)
% 0.42/0.61 [50]P1(a4)
% 0.42/0.61 [51]P9(a8)
% 0.42/0.61 [52]P9(a9)
% 0.42/0.61 [53]P9(a10)
% 0.42/0.61 [54]P10(a8,a9)
% 0.42/0.61 [56]P10(a9,a10)
% 0.42/0.61 [57]P10(a10,a9)
% 0.42/0.61 [58]~E(a1,a2)
% 0.42/0.61 [59]~E(a1,a4)
% 0.42/0.61 [60]~E(a4,a2)
% 0.42/0.61 [61]~E(a9,a8)
% 0.42/0.61 [62]~E(a10,a8)
% 0.42/0.61 [63]~E(a10,a9)
% 0.42/0.61 [64]~P10(x641,x641)
% 0.42/0.61 [66]~E(x661,x662)+P11(x661,x662)
% 0.42/0.61 [74]~P10(x741,x742)+P11(x741,x742)
% 0.42/0.61 [86]P10(x861,x862)+~P6(x862,x861,x863)
% 0.42/0.61 [87]P10(x871,x872)+~P7(x871,x873,x872)
% 0.42/0.61 [88]P10(x881,x882)+~P8(x882,x881,x883)
% 0.42/0.61 [89]P10(x891,x892)+~P8(x891,x893,x892)
% 0.42/0.61 [90]P11(x901,x902)+~P2(x902,x901,x903)
% 0.42/0.61 [91]P11(x911,x912)+~P2(x911,x913,x912)
% 0.42/0.61 [92]P11(x921,x922)+~P6(x921,x923,x922)
% 0.42/0.61 [93]P11(x931,x932)+~P7(x932,x931,x933)
% 0.42/0.61 [97]P5(x971,x972,x973,x974)+P2(f5(x971,x972,x973,x974),x973,x974)
% 0.42/0.61 [98]P5(x981,x982,x983,x984)+P2(f5(x981,x982,x983,x984),x981,x982)
% 0.42/0.61 [99]P4(x991,x992,x993,x994)+P2(f6(x991,x992,x993,x994),x991,x992)
% 0.42/0.61 [100]~P3(x1001,x1002,x1003,x1004)+P2(f7(x1001,x1002,x1003,x1004),x1003,x1004)
% 0.42/0.61 [101]~P3(x1011,x1012,x1013,x1014)+P2(f7(x1011,x1012,x1013,x1014),x1011,x1012)
% 0.42/0.61 [102]P4(x1021,x1022,x1023,x1024)+~P2(f6(x1021,x1022,x1023,x1024),x1023,x1024)
% 0.42/0.61 [67]P10(x672,x671)+P10(x671,x672)+E(x671,x672)
% 0.42/0.61 [75]P10(x751,x752)+~P11(x751,x752)+E(x751,x752)
% 0.42/0.61 [76]~P11(x762,x761)+~P11(x761,x762)+E(x761,x762)
% 0.42/0.61 [78]~P10(x781,x783)+P10(x781,x782)+~P10(x783,x782)
% 0.42/0.61 [79]~P11(x791,x793)+P10(x791,x792)+~P10(x793,x792)
% 0.42/0.61 [80]~P11(x803,x802)+P10(x801,x802)+~P10(x801,x803)
% 0.42/0.61 [81]~P11(x811,x813)+P11(x811,x812)+~P11(x813,x812)
% 0.42/0.61 [82]~P11(x821,x823)+~P11(x822,x821)+P2(x821,x822,x823)
% 0.42/0.61 [83]~P10(x832,x831)+~P11(x831,x833)+P6(x831,x832,x833)
% 0.42/0.61 [84]~P10(x841,x843)+~P11(x842,x841)+P7(x841,x842,x843)
% 0.42/0.61 [85]~P10(x851,x853)+~P10(x852,x851)+P8(x851,x852,x853)
% 0.42/0.61 [94]~P2(x945,x941,x942)+P3(x941,x942,x943,x944)+~P2(x945,x943,x944)
% 0.42/0.61 [95]~P4(x954,x955,x952,x953)+P2(x951,x952,x953)+~P2(x951,x954,x955)
% 0.42/0.61 [96]~P5(x964,x965,x962,x963)+~P2(x961,x962,x963)+~P2(x961,x964,x965)
% 0.42/0.61 [65]~P1(x651)+E(x651,a2)+E(x651,a4)+E(x651,a1)
% 0.42/0.61 [68]~P1(x681)+~P1(x682)+~E(x682,a1)+E(f3(x681,x682),a1)
% 0.42/0.61 [69]~P1(x692)+~P1(x691)+~E(x691,a1)+E(f3(x691,x692),a1)
% 0.42/0.61 [70]~P1(x702)+~P1(x701)+~E(x702,a2)+~E(x701,a2)+E(f3(x701,x702),a2)
% 0.42/0.61 [77]~P1(x772)+~P1(x771)+E(f3(x771,x772),a1)+E(f3(x771,x772),a2)+E(f3(x771,x772),a4)
% 0.42/0.61 [71]~P1(x711)+~P1(x712)+~E(x712,a4)+E(x711,a1)+E(x712,a1)+E(f3(x711,x712),a4)
% 0.42/0.61 [72]~P1(x721)+~P1(x722)+~E(x722,a4)+E(x721,a1)+E(x722,a1)+E(f3(x722,x721),a4)
% 0.42/0.61 %EqnAxiom
% 0.42/0.61 [1]E(x11,x11)
% 0.42/0.61 [2]E(x22,x21)+~E(x21,x22)
% 0.42/0.61 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.42/0.61 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 0.42/0.61 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 0.42/0.61 [6]~E(x61,x62)+E(f6(x61,x63,x64,x65),f6(x62,x63,x64,x65))
% 0.42/0.61 [7]~E(x71,x72)+E(f6(x73,x71,x74,x75),f6(x73,x72,x74,x75))
% 0.42/0.61 [8]~E(x81,x82)+E(f6(x83,x84,x81,x85),f6(x83,x84,x82,x85))
% 0.42/0.61 [9]~E(x91,x92)+E(f6(x93,x94,x95,x91),f6(x93,x94,x95,x92))
% 0.42/0.61 [10]~E(x101,x102)+E(f7(x101,x103,x104,x105),f7(x102,x103,x104,x105))
% 0.42/0.61 [11]~E(x111,x112)+E(f7(x113,x111,x114,x115),f7(x113,x112,x114,x115))
% 0.42/0.61 [12]~E(x121,x122)+E(f7(x123,x124,x121,x125),f7(x123,x124,x122,x125))
% 0.42/0.61 [13]~E(x131,x132)+E(f7(x133,x134,x135,x131),f7(x133,x134,x135,x132))
% 0.42/0.61 [14]~E(x141,x142)+E(f5(x141,x143,x144,x145),f5(x142,x143,x144,x145))
% 0.42/0.61 [15]~E(x151,x152)+E(f5(x153,x151,x154,x155),f5(x153,x152,x154,x155))
% 0.42/0.61 [16]~E(x161,x162)+E(f5(x163,x164,x161,x165),f5(x163,x164,x162,x165))
% 0.42/0.61 [17]~E(x171,x172)+E(f5(x173,x174,x175,x171),f5(x173,x174,x175,x172))
% 0.42/0.61 [18]~P1(x181)+P1(x182)+~E(x181,x182)
% 0.42/0.61 [19]P2(x192,x193,x194)+~E(x191,x192)+~P2(x191,x193,x194)
% 0.42/0.61 [20]P2(x203,x202,x204)+~E(x201,x202)+~P2(x203,x201,x204)
% 0.42/0.61 [21]P2(x213,x214,x212)+~E(x211,x212)+~P2(x213,x214,x211)
% 0.42/0.61 [22]P4(x222,x223,x224,x225)+~E(x221,x222)+~P4(x221,x223,x224,x225)
% 0.42/0.61 [23]P4(x233,x232,x234,x235)+~E(x231,x232)+~P4(x233,x231,x234,x235)
% 0.42/0.61 [24]P4(x243,x244,x242,x245)+~E(x241,x242)+~P4(x243,x244,x241,x245)
% 0.42/0.61 [25]P4(x253,x254,x255,x252)+~E(x251,x252)+~P4(x253,x254,x255,x251)
% 0.42/0.61 [26]~P9(x261)+P9(x262)+~E(x261,x262)
% 0.42/0.61 [27]P8(x272,x273,x274)+~E(x271,x272)+~P8(x271,x273,x274)
% 0.42/0.61 [28]P8(x283,x282,x284)+~E(x281,x282)+~P8(x283,x281,x284)
% 0.42/0.61 [29]P8(x293,x294,x292)+~E(x291,x292)+~P8(x293,x294,x291)
% 0.42/0.61 [30]P10(x302,x303)+~E(x301,x302)+~P10(x301,x303)
% 0.42/0.61 [31]P10(x313,x312)+~E(x311,x312)+~P10(x313,x311)
% 0.42/0.61 [32]P6(x322,x323,x324)+~E(x321,x322)+~P6(x321,x323,x324)
% 0.42/0.61 [33]P6(x333,x332,x334)+~E(x331,x332)+~P6(x333,x331,x334)
% 0.42/0.61 [34]P6(x343,x344,x342)+~E(x341,x342)+~P6(x343,x344,x341)
% 0.42/0.61 [35]P11(x352,x353)+~E(x351,x352)+~P11(x351,x353)
% 0.42/0.61 [36]P11(x363,x362)+~E(x361,x362)+~P11(x363,x361)
% 0.42/0.61 [37]P7(x372,x373,x374)+~E(x371,x372)+~P7(x371,x373,x374)
% 0.42/0.61 [38]P7(x383,x382,x384)+~E(x381,x382)+~P7(x383,x381,x384)
% 0.42/0.61 [39]P7(x393,x394,x392)+~E(x391,x392)+~P7(x393,x394,x391)
% 0.42/0.61 [40]P5(x402,x403,x404,x405)+~E(x401,x402)+~P5(x401,x403,x404,x405)
% 0.42/0.61 [41]P5(x413,x412,x414,x415)+~E(x411,x412)+~P5(x413,x411,x414,x415)
% 0.42/0.61 [42]P5(x423,x424,x422,x425)+~E(x421,x422)+~P5(x423,x424,x421,x425)
% 0.42/0.61 [43]P5(x433,x434,x435,x432)+~E(x431,x432)+~P5(x433,x434,x435,x431)
% 0.42/0.61 [44]P3(x442,x443,x444,x445)+~E(x441,x442)+~P3(x441,x443,x444,x445)
% 0.42/0.61 [45]P3(x453,x452,x454,x455)+~E(x451,x452)+~P3(x453,x451,x454,x455)
% 0.42/0.61 [46]P3(x463,x464,x462,x465)+~E(x461,x462)+~P3(x463,x464,x461,x465)
% 0.42/0.61 [47]P3(x473,x474,x475,x472)+~E(x471,x472)+~P3(x473,x474,x475,x471)
% 0.42/0.61
% 0.42/0.61 %-------------------------------------------
% 0.42/0.61 cnf(297,plain,
% 0.42/0.61 ($false),
% 0.42/0.61 inference(scs_inference,[],[56,64,57,78]),
% 0.42/0.61 ['proof']).
% 0.42/0.61 % SZS output end Proof
% 0.42/0.61 % Total time :0.096258s
%------------------------------------------------------------------------------