%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : MGT107+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n001.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 0.24s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT107+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.03 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.06/0.33 % Computer : n001.cluster.edu
% 0.06/0.33 % Model : x86_64 x86_64
% 0.06/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.33 % Memory : 8046.5625MB
% 0.06/0.33 % OS : Linux 6.8.0-71-generic
% 0.06/0.33 % CPULimit : 300
% 0.06/0.33 % WCLimit : 300
% 0.06/0.33 % DateTime : Mon Sep 7 14:47:37 UTC 2026
% 0.06/0.33 % CPUTime :
% 0.24/0.50 start to proof:theBenchmark
% 0.24/0.50 %-------------------------------------------
% 0.24/0.50 % File :CSE---1.7
% 0.24/0.50 % Problem :theBenchmark
% 0.24/0.50 % Transform :cnf
% 0.24/0.50 % Format :tptp:raw
% 0.24/0.50 % Command :java -jar mcs_scs.jar %d %s
% 0.24/0.50
% 0.24/0.50 % Result :Theorem 0.008709s
% 0.24/0.50 % Output :CNFRefutation 0.008709s
% 0.24/0.50 %-------------------------------------------
% 0.24/0.50 %--------------------------------------------------------------------------
% 0.24/0.50 % File : MGT107+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.24/0.51 % Domain : Management
% 0.24/0.51 % Problem : intra-policy: eq 600 AND eq 800 on same axis empty
% 0.24/0.51 % Version : Especial.
% 0.24/0.51 % English : Remark 3.4: single constraint eq 600 AND eq 800 on width.
% 0.24/0.51 % {600} intersection {800} = null - self-contradictory.
% 0.24/0.51 % Contradiction via fresh witness w=v600 and w=v800:
% 0.24/0.51 % by transitivity v600=v800, contradicting $distinct(v600,v800).
% 0.24/0.51
% 0.24/0.51 % Refs : [MC+26] Mustafa et al. (2026), Axis Decomposition for ODRL
% 0.24/0.51 % Source : [MC+26]
% 0.24/0.51 % Names : ODRL766-1.p [MC+26]
% 0.24/0.51
% 0.24/0.51 % Status : Unsatisfiable
% 0.24/0.51 % Rating : ? v9.3.1
% 0.24/0.51 % Syntax : Number of formulae : 33 ( 13 unt; 0 def)
% 0.24/0.51 % Number of atoms : 83 ( 26 equ)
% 0.24/0.51 % Maximal formula atoms : 7 ( 2 avg)
% 0.24/0.51 % Number of connectives : 58 ( 8 ~; 9 |; 21 &)
% 0.24/0.51 % ( 8 <=>; 12 =>; 0 <=; 0 <~>)
% 0.24/0.51 % Maximal formula depth : 9 ( 4 avg)
% 0.24/0.51 % Maximal term depth : 2 ( 1 avg)
% 0.24/0.51 % Number of predicates : 12 ( 11 usr; 0 prp; 1-4 aty)
% 0.24/0.51 % Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% 0.24/0.51 % Number of variables : 57 ( 55 !; 2 ?)
% 0.24/0.51 % SPC : FOF_UNS_RFO_SEQ
% 0.24/0.51
% 0.24/0.51 % Comments : intra-policy self-contradiction.
% 0.24/0.51 % Bugfixes : v9.3.1 - $distinct expanded to inequalities.
% 0.24/0.51 %--------------------------------------------------------------------------
% 0.24/0.51 include('Axioms/MGT002+0.ax').
% 0.24/0.51 include('Axioms/MGT002+2.ax').
% 0.24/0.51 %--------------------------------------------------------------------------
% 0.24/0.51 %----Named constants and ordering
% 0.24/0.51 fof(val_v600,axiom,
% 0.24/0.51 val(v600) ).
% 0.24/0.51
% 0.24/0.51 fof(val_v800,axiom,
% 0.24/0.51 val(v800) ).
% 0.24/0.51
% 0.24/0.51 fof(ord_v600_v800,axiom,
% 0.24/0.51 less(v600,v800) ).
% 0.24/0.51
% 0.24/0.51 fof(distinct,axiom,
% 0.24/0.51 v600 != v800 ).
% 0.24/0.51
% 0.24/0.51 fof(wit_eq1,axiom,
% 0.24/0.51 w = v600 ).
% 0.24/0.51
% 0.24/0.51 fof(wit_eq2,axiom,
% 0.24/0.51 w = v800 ).
% 0.24/0.51
% 0.24/0.51 %----No conjecture - contradiction in axioms
% 0.24/0.51 %--------------------------------------------------------------------------
% 0.24/0.51 %-------------------------------------------
% 0.24/0.51 % Proof found
% 0.24/0.51 % SZS status Theorem for theBenchmark
% 0.24/0.51 % SZS output start Proof
% 0.24/0.51 %ClaNum:98(EqnAxiom:47)
% 0.24/0.51 %VarNum:252(SingletonVarNum:111)
% 0.24/0.51 %MaxLitNum:6
% 0.24/0.51 %MaxfuncDepth:1
% 0.24/0.51 %SharedTerms:18
% 0.24/0.51 [48]E(a1,a2)
% 0.24/0.51 [49]E(a10,a1)
% 0.24/0.51 [50]P1(a3)
% 0.24/0.51 [51]P1(a4)
% 0.24/0.51 [52]P1(a6)
% 0.24/0.51 [53]P9(a2)
% 0.24/0.51 [54]P9(a10)
% 0.24/0.51 [55]P10(a2,a10)
% 0.24/0.51 [56]~E(a4,a3)
% 0.24/0.51 [57]~E(a6,a3)
% 0.24/0.51 [58]~E(a6,a4)
% 0.24/0.51 [59]~E(a10,a2)
% 0.24/0.51 [60]~P10(x601,x601)
% 0.24/0.51 [62]~E(x621,x622)+P11(x621,x622)
% 0.24/0.51 [70]~P10(x701,x702)+P11(x701,x702)
% 0.24/0.51 [82]P10(x821,x822)+~P6(x822,x821,x823)
% 0.24/0.51 [83]P10(x831,x832)+~P7(x831,x833,x832)
% 0.24/0.51 [84]P10(x841,x842)+~P8(x842,x841,x843)
% 0.24/0.51 [85]P10(x851,x852)+~P8(x851,x853,x852)
% 0.24/0.51 [86]P11(x861,x862)+~P2(x862,x861,x863)
% 0.24/0.51 [87]P11(x871,x872)+~P2(x871,x873,x872)
% 0.24/0.51 [88]P11(x881,x882)+~P6(x881,x883,x882)
% 0.24/0.51 [89]P11(x891,x892)+~P7(x892,x891,x893)
% 0.24/0.51 [93]P5(x931,x932,x933,x934)+P2(f7(x931,x932,x933,x934),x933,x934)
% 0.24/0.51 [94]P5(x941,x942,x943,x944)+P2(f7(x941,x942,x943,x944),x941,x942)
% 0.24/0.51 [95]P4(x951,x952,x953,x954)+P2(f8(x951,x952,x953,x954),x951,x952)
% 0.24/0.51 [96]~P3(x961,x962,x963,x964)+P2(f9(x961,x962,x963,x964),x963,x964)
% 0.24/0.51 [97]~P3(x971,x972,x973,x974)+P2(f9(x971,x972,x973,x974),x971,x972)
% 0.24/0.51 [98]P4(x981,x982,x983,x984)+~P2(f8(x981,x982,x983,x984),x983,x984)
% 0.24/0.51 [63]P10(x632,x631)+P10(x631,x632)+E(x631,x632)
% 0.24/0.51 [71]P10(x711,x712)+~P11(x711,x712)+E(x711,x712)
% 0.24/0.51 [72]~P11(x722,x721)+~P11(x721,x722)+E(x721,x722)
% 0.24/0.51 [74]~P10(x741,x743)+P10(x741,x742)+~P10(x743,x742)
% 0.24/0.51 [75]~P11(x751,x753)+P10(x751,x752)+~P10(x753,x752)
% 0.24/0.51 [76]~P11(x763,x762)+P10(x761,x762)+~P10(x761,x763)
% 0.24/0.51 [77]~P11(x771,x773)+P11(x771,x772)+~P11(x773,x772)
% 0.24/0.51 [78]~P11(x781,x783)+~P11(x782,x781)+P2(x781,x782,x783)
% 0.24/0.51 [79]~P10(x792,x791)+~P11(x791,x793)+P6(x791,x792,x793)
% 0.24/0.51 [80]~P10(x801,x803)+~P11(x802,x801)+P7(x801,x802,x803)
% 0.24/0.51 [81]~P10(x811,x813)+~P10(x812,x811)+P8(x811,x812,x813)
% 0.24/0.51 [90]~P2(x905,x901,x902)+P3(x901,x902,x903,x904)+~P2(x905,x903,x904)
% 0.24/0.51 [91]~P4(x914,x915,x912,x913)+P2(x911,x912,x913)+~P2(x911,x914,x915)
% 0.24/0.51 [92]~P5(x924,x925,x922,x923)+~P2(x921,x922,x923)+~P2(x921,x924,x925)
% 0.24/0.51 [61]~P1(x611)+E(x611,a4)+E(x611,a6)+E(x611,a3)
% 0.24/0.51 [64]~P1(x641)+~P1(x642)+~E(x642,a3)+E(f5(x641,x642),a3)
% 0.24/0.51 [65]~P1(x652)+~P1(x651)+~E(x651,a3)+E(f5(x651,x652),a3)
% 0.24/0.51 [66]~P1(x662)+~P1(x661)+~E(x662,a4)+~E(x661,a4)+E(f5(x661,x662),a4)
% 0.24/0.51 [73]~P1(x732)+~P1(x731)+E(f5(x731,x732),a3)+E(f5(x731,x732),a4)+E(f5(x731,x732),a6)
% 0.24/0.51 [67]~P1(x671)+~P1(x672)+~E(x672,a6)+E(x671,a3)+E(x672,a3)+E(f5(x671,x672),a6)
% 0.24/0.51 [68]~P1(x681)+~P1(x682)+~E(x682,a6)+E(x681,a3)+E(x682,a3)+E(f5(x682,x681),a6)
% 0.24/0.51 %EqnAxiom
% 0.24/0.51 [1]E(x11,x11)
% 0.24/0.51 [2]E(x22,x21)+~E(x21,x22)
% 0.24/0.51 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.24/0.51 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 0.24/0.51 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 0.24/0.51 [6]~E(x61,x62)+E(f8(x61,x63,x64,x65),f8(x62,x63,x64,x65))
% 0.24/0.51 [7]~E(x71,x72)+E(f8(x73,x71,x74,x75),f8(x73,x72,x74,x75))
% 0.24/0.51 [8]~E(x81,x82)+E(f8(x83,x84,x81,x85),f8(x83,x84,x82,x85))
% 0.24/0.51 [9]~E(x91,x92)+E(f8(x93,x94,x95,x91),f8(x93,x94,x95,x92))
% 0.24/0.51 [10]~E(x101,x102)+E(f9(x101,x103,x104,x105),f9(x102,x103,x104,x105))
% 0.24/0.51 [11]~E(x111,x112)+E(f9(x113,x111,x114,x115),f9(x113,x112,x114,x115))
% 0.24/0.51 [12]~E(x121,x122)+E(f9(x123,x124,x121,x125),f9(x123,x124,x122,x125))
% 0.24/0.51 [13]~E(x131,x132)+E(f9(x133,x134,x135,x131),f9(x133,x134,x135,x132))
% 0.24/0.51 [14]~E(x141,x142)+E(f7(x141,x143,x144,x145),f7(x142,x143,x144,x145))
% 0.24/0.51 [15]~E(x151,x152)+E(f7(x153,x151,x154,x155),f7(x153,x152,x154,x155))
% 0.24/0.51 [16]~E(x161,x162)+E(f7(x163,x164,x161,x165),f7(x163,x164,x162,x165))
% 0.24/0.51 [17]~E(x171,x172)+E(f7(x173,x174,x175,x171),f7(x173,x174,x175,x172))
% 0.24/0.51 [18]~P1(x181)+P1(x182)+~E(x181,x182)
% 0.24/0.51 [19]P2(x192,x193,x194)+~E(x191,x192)+~P2(x191,x193,x194)
% 0.24/0.51 [20]P2(x203,x202,x204)+~E(x201,x202)+~P2(x203,x201,x204)
% 0.24/0.51 [21]P2(x213,x214,x212)+~E(x211,x212)+~P2(x213,x214,x211)
% 0.24/0.51 [22]P4(x222,x223,x224,x225)+~E(x221,x222)+~P4(x221,x223,x224,x225)
% 0.24/0.51 [23]P4(x233,x232,x234,x235)+~E(x231,x232)+~P4(x233,x231,x234,x235)
% 0.24/0.51 [24]P4(x243,x244,x242,x245)+~E(x241,x242)+~P4(x243,x244,x241,x245)
% 0.24/0.51 [25]P4(x253,x254,x255,x252)+~E(x251,x252)+~P4(x253,x254,x255,x251)
% 0.24/0.51 [26]~P9(x261)+P9(x262)+~E(x261,x262)
% 0.24/0.51 [27]P8(x272,x273,x274)+~E(x271,x272)+~P8(x271,x273,x274)
% 0.24/0.51 [28]P8(x283,x282,x284)+~E(x281,x282)+~P8(x283,x281,x284)
% 0.24/0.51 [29]P8(x293,x294,x292)+~E(x291,x292)+~P8(x293,x294,x291)
% 0.24/0.51 [30]P10(x302,x303)+~E(x301,x302)+~P10(x301,x303)
% 0.24/0.51 [31]P10(x313,x312)+~E(x311,x312)+~P10(x313,x311)
% 0.24/0.51 [32]P6(x322,x323,x324)+~E(x321,x322)+~P6(x321,x323,x324)
% 0.24/0.51 [33]P6(x333,x332,x334)+~E(x331,x332)+~P6(x333,x331,x334)
% 0.24/0.51 [34]P6(x343,x344,x342)+~E(x341,x342)+~P6(x343,x344,x341)
% 0.24/0.51 [35]P3(x352,x353,x354,x355)+~E(x351,x352)+~P3(x351,x353,x354,x355)
% 0.24/0.51 [36]P3(x363,x362,x364,x365)+~E(x361,x362)+~P3(x363,x361,x364,x365)
% 0.24/0.51 [37]P3(x373,x374,x372,x375)+~E(x371,x372)+~P3(x373,x374,x371,x375)
% 0.24/0.51 [38]P3(x383,x384,x385,x382)+~E(x381,x382)+~P3(x383,x384,x385,x381)
% 0.24/0.51 [39]P11(x392,x393)+~E(x391,x392)+~P11(x391,x393)
% 0.24/0.51 [40]P11(x403,x402)+~E(x401,x402)+~P11(x403,x401)
% 0.24/0.51 [41]P7(x412,x413,x414)+~E(x411,x412)+~P7(x411,x413,x414)
% 0.24/0.51 [42]P7(x423,x422,x424)+~E(x421,x422)+~P7(x423,x421,x424)
% 0.24/0.51 [43]P7(x433,x434,x432)+~E(x431,x432)+~P7(x433,x434,x431)
% 0.24/0.51 [44]P5(x442,x443,x444,x445)+~E(x441,x442)+~P5(x441,x443,x444,x445)
% 0.24/0.51 [45]P5(x453,x452,x454,x455)+~E(x451,x452)+~P5(x453,x451,x454,x455)
% 0.24/0.51 [46]P5(x463,x464,x462,x465)+~E(x461,x462)+~P5(x463,x464,x461,x465)
% 0.24/0.51 [47]P5(x473,x474,x475,x472)+~E(x471,x472)+~P5(x473,x474,x475,x471)
% 0.24/0.51
% 0.24/0.51 %-------------------------------------------
% 0.24/0.52 cnf(120,plain,
% 0.24/0.52 ($false),
% 0.24/0.52 inference(scs_inference,[],[48,60,49,55,59,82,83,84,85,2,74,3]),
% 0.24/0.52 ['proof']).
% 0.24/0.52 % SZS output end Proof
% 0.24/0.52 % Total time :0.008709s
%------------------------------------------------------------------------------