%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : MGT076+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 : 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 8 06:04:23 AM UTC 2026
% Result : Theorem 0.25s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT076+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.02 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.07/0.35 % Computer : n014.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 7 14:11:56 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.25/0.52 start to proof:theBenchmark
% 0.25/0.52 %-------------------------------------------
% 0.25/0.52 % File :CSE---1.7
% 0.25/0.52 % Problem :theBenchmark
% 0.25/0.52 % Transform :cnf
% 0.25/0.52 % Format :tptp:raw
% 0.25/0.52 % Command :java -jar mcs_scs.jar %d %s
% 0.25/0.52
% 0.25/0.52 % Result :Theorem 0.020211s
% 0.25/0.52 % Output :CNFRefutation 0.020211s
% 0.25/0.52 %-------------------------------------------
% 0.25/0.52 %--------------------------------------------------------------------------
% 0.25/0.52 % File : MGT076+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.25/0.52 % Domain : Management
% 0.25/0.52 % Problem : [800,infinity) [400,infinity): higher lower-bound subsumes
% 0.25/0.52 % Version : Especial.
% 0.25/0.52 % English : width gteq 800 => [800, infinity)
% 0.25/0.52 % width gteq 400 => [400, infinity)
% 0.25/0.52 % [800, infinity) subseteq [400, infinity)
% 0.25/0.52 % since less(v400, v800) => ∀X. X>=800 => X>=400.
% 0.25/0.52
% 0.25/0.52 % Refs : [MC+26] Mustafa et al. (2026), Axis Decomposition for ODRL
% 0.25/0.52 % Source : [MC+26]
% 0.25/0.52 % Names : ODRL311-1.p [MC+26]
% 0.25/0.52
% 0.25/0.52 % Status : Theorem
% 0.25/0.52 % Rating : ? v9.3.1
% 0.25/0.52 % Syntax : Number of formulae : 35 ( 13 unt; 0 def)
% 0.25/0.52 % Number of atoms : 88 ( 26 equ)
% 0.25/0.52 % Maximal formula atoms : 7 ( 2 avg)
% 0.25/0.52 % Number of connectives : 63 ( 10 ~; 9 |; 23 &)
% 0.25/0.52 % ( 8 <=>; 13 =>; 0 <=; 0 <~>)
% 0.25/0.52 % Maximal formula depth : 9 ( 4 avg)
% 0.25/0.52 % Maximal term depth : 2 ( 1 avg)
% 0.25/0.52 % Number of predicates : 12 ( 11 usr; 0 prp; 1-4 aty)
% 0.25/0.52 % Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% 0.25/0.52 % Number of variables : 58 ( 56 !; 2 ?)
% 0.25/0.52 % SPC : FOF_THM_RFO_SEQ
% 0.25/0.52
% 0.25/0.52 % Comments : Requires MGT002+0.ax + MGT002+2.ax.
% 0.25/0.52 % Bugfixes : v9.3.1 - $distinct expanded to inequalities.
% 0.25/0.52 %--------------------------------------------------------------------------
% 0.25/0.52 include('Axioms/MGT002+0.ax').
% 0.25/0.52 include('Axioms/MGT002+2.ax').
% 0.25/0.52 %--------------------------------------------------------------------------
% 0.25/0.52 %----Named constants and ordering
% 0.25/0.52 %----v0 = domain lower bound (excluded); v400, v800 = constraint values
% 0.25/0.52 fof(val_v0,axiom,
% 0.25/0.52 val(v0) ).
% 0.25/0.52
% 0.25/0.52 fof(val_v400,axiom,
% 0.25/0.52 val(v400) ).
% 0.25/0.52
% 0.25/0.52 fof(val_v800,axiom,
% 0.25/0.52 val(v800) ).
% 0.25/0.52
% 0.25/0.52 fof(ord_v0_v400,axiom,
% 0.25/0.52 less(v0,v400) ).
% 0.25/0.52
% 0.25/0.53 fof(ord_v0_v800,axiom,
% 0.25/0.53 less(v0,v800) ).
% 0.25/0.53
% 0.25/0.53 fof(ord_v400_v800,axiom,
% 0.25/0.53 less(v400,v800) ).
% 0.25/0.53
% 0.25/0.53 fof(distinct,axiom,
% 0.25/0.53 ( v0 != v400
% 0.25/0.53 & v0 != v800
% 0.25/0.53 & v400 != v800 ) ).
% 0.25/0.53
% 0.25/0.53 fof(odrl311,conjecture,
% 0.25/0.53 ! [X] :
% 0.25/0.53 ( leq(v800,X)
% 0.25/0.53 => leq(v400,X) ) ).
% 0.25/0.53
% 0.25/0.53 %--------------------------------------------------------------------------
% 0.25/0.53 %-------------------------------------------
% 0.25/0.53 % Proof found
% 0.25/0.53 % SZS status Theorem for theBenchmark
% 0.25/0.53 % SZS output start Proof
% 0.25/0.53 %ClaNum:103(EqnAxiom:47)
% 0.25/0.53 %VarNum:252(SingletonVarNum:111)
% 0.25/0.53 %MaxLitNum:6
% 0.25/0.53 %MaxfuncDepth:1
% 0.25/0.53 %SharedTerms:24
% 0.25/0.53 %goalClause: 57 64
% 0.25/0.53 %singleGoalClaCount:2
% 0.25/0.53 [48]P1(a1)
% 0.25/0.53 [49]P1(a2)
% 0.25/0.53 [50]P1(a4)
% 0.25/0.53 [51]P9(a9)
% 0.25/0.53 [52]P9(a10)
% 0.25/0.53 [53]P9(a11)
% 0.25/0.53 [54]P10(a9,a10)
% 0.25/0.53 [55]P10(a9,a11)
% 0.25/0.53 [56]P10(a10,a11)
% 0.25/0.53 [57]P11(a11,a5)
% 0.25/0.53 [58]~E(a1,a2)
% 0.25/0.53 [59]~E(a1,a4)
% 0.25/0.53 [60]~E(a4,a2)
% 0.25/0.53 [61]~E(a10,a9)
% 0.25/0.53 [62]~E(a11,a9)
% 0.25/0.53 [63]~E(a11,a10)
% 0.25/0.53 [64]~P11(a10,a5)
% 0.25/0.53 [65]~P10(x651,x651)
% 0.25/0.53 [67]~E(x671,x672)+P11(x671,x672)
% 0.25/0.53 [75]~P10(x751,x752)+P11(x751,x752)
% 0.25/0.53 [87]P10(x871,x872)+~P6(x872,x871,x873)
% 0.25/0.53 [88]P10(x881,x882)+~P7(x881,x883,x882)
% 0.25/0.53 [89]P10(x891,x892)+~P8(x892,x891,x893)
% 0.25/0.53 [90]P10(x901,x902)+~P8(x901,x903,x902)
% 0.25/0.53 [91]P11(x911,x912)+~P2(x912,x911,x913)
% 0.25/0.53 [92]P11(x921,x922)+~P2(x921,x923,x922)
% 0.25/0.53 [93]P11(x931,x932)+~P6(x931,x933,x932)
% 0.25/0.53 [94]P11(x941,x942)+~P7(x942,x941,x943)
% 0.25/0.53 [98]P5(x981,x982,x983,x984)+P2(f6(x981,x982,x983,x984),x983,x984)
% 0.25/0.53 [99]P5(x991,x992,x993,x994)+P2(f6(x991,x992,x993,x994),x991,x992)
% 0.25/0.53 [100]P4(x1001,x1002,x1003,x1004)+P2(f7(x1001,x1002,x1003,x1004),x1001,x1002)
% 0.25/0.53 [101]~P3(x1011,x1012,x1013,x1014)+P2(f8(x1011,x1012,x1013,x1014),x1013,x1014)
% 0.25/0.53 [102]~P3(x1021,x1022,x1023,x1024)+P2(f8(x1021,x1022,x1023,x1024),x1021,x1022)
% 0.25/0.53 [103]P4(x1031,x1032,x1033,x1034)+~P2(f7(x1031,x1032,x1033,x1034),x1033,x1034)
% 0.25/0.53 [68]P10(x682,x681)+P10(x681,x682)+E(x681,x682)
% 0.25/0.53 [76]P10(x761,x762)+~P11(x761,x762)+E(x761,x762)
% 0.25/0.53 [77]~P11(x772,x771)+~P11(x771,x772)+E(x771,x772)
% 0.25/0.53 [79]~P10(x791,x793)+P10(x791,x792)+~P10(x793,x792)
% 0.25/0.53 [80]~P11(x801,x803)+P10(x801,x802)+~P10(x803,x802)
% 0.25/0.53 [81]~P11(x813,x812)+P10(x811,x812)+~P10(x811,x813)
% 0.25/0.53 [82]~P11(x821,x823)+P11(x821,x822)+~P11(x823,x822)
% 0.25/0.53 [83]~P11(x831,x833)+~P11(x832,x831)+P2(x831,x832,x833)
% 0.25/0.53 [84]~P10(x842,x841)+~P11(x841,x843)+P6(x841,x842,x843)
% 0.25/0.53 [85]~P10(x851,x853)+~P11(x852,x851)+P7(x851,x852,x853)
% 0.25/0.53 [86]~P10(x861,x863)+~P10(x862,x861)+P8(x861,x862,x863)
% 0.25/0.53 [95]~P2(x955,x951,x952)+P3(x951,x952,x953,x954)+~P2(x955,x953,x954)
% 0.25/0.53 [96]~P4(x964,x965,x962,x963)+P2(x961,x962,x963)+~P2(x961,x964,x965)
% 0.25/0.53 [97]~P5(x974,x975,x972,x973)+~P2(x971,x972,x973)+~P2(x971,x974,x975)
% 0.25/0.53 [66]~P1(x661)+E(x661,a2)+E(x661,a4)+E(x661,a1)
% 0.25/0.53 [69]~P1(x691)+~P1(x692)+~E(x692,a1)+E(f3(x691,x692),a1)
% 0.25/0.53 [70]~P1(x702)+~P1(x701)+~E(x701,a1)+E(f3(x701,x702),a1)
% 0.25/0.53 [71]~P1(x712)+~P1(x711)+~E(x712,a2)+~E(x711,a2)+E(f3(x711,x712),a2)
% 0.25/0.53 [78]~P1(x782)+~P1(x781)+E(f3(x781,x782),a1)+E(f3(x781,x782),a2)+E(f3(x781,x782),a4)
% 0.25/0.53 [72]~P1(x721)+~P1(x722)+~E(x722,a4)+E(x721,a1)+E(x722,a1)+E(f3(x721,x722),a4)
% 0.25/0.53 [73]~P1(x731)+~P1(x732)+~E(x732,a4)+E(x731,a1)+E(x732,a1)+E(f3(x732,x731),a4)
% 0.25/0.53 %EqnAxiom
% 0.25/0.53 [1]E(x11,x11)
% 0.25/0.53 [2]E(x22,x21)+~E(x21,x22)
% 0.25/0.53 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.25/0.53 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 0.25/0.53 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 0.25/0.53 [6]~E(x61,x62)+E(f7(x61,x63,x64,x65),f7(x62,x63,x64,x65))
% 0.25/0.53 [7]~E(x71,x72)+E(f7(x73,x71,x74,x75),f7(x73,x72,x74,x75))
% 0.25/0.53 [8]~E(x81,x82)+E(f7(x83,x84,x81,x85),f7(x83,x84,x82,x85))
% 0.25/0.53 [9]~E(x91,x92)+E(f7(x93,x94,x95,x91),f7(x93,x94,x95,x92))
% 0.25/0.53 [10]~E(x101,x102)+E(f8(x101,x103,x104,x105),f8(x102,x103,x104,x105))
% 0.25/0.53 [11]~E(x111,x112)+E(f8(x113,x111,x114,x115),f8(x113,x112,x114,x115))
% 0.25/0.53 [12]~E(x121,x122)+E(f8(x123,x124,x121,x125),f8(x123,x124,x122,x125))
% 0.25/0.53 [13]~E(x131,x132)+E(f8(x133,x134,x135,x131),f8(x133,x134,x135,x132))
% 0.25/0.53 [14]~E(x141,x142)+E(f6(x141,x143,x144,x145),f6(x142,x143,x144,x145))
% 0.25/0.53 [15]~E(x151,x152)+E(f6(x153,x151,x154,x155),f6(x153,x152,x154,x155))
% 0.25/0.53 [16]~E(x161,x162)+E(f6(x163,x164,x161,x165),f6(x163,x164,x162,x165))
% 0.25/0.53 [17]~E(x171,x172)+E(f6(x173,x174,x175,x171),f6(x173,x174,x175,x172))
% 0.25/0.53 [18]~P1(x181)+P1(x182)+~E(x181,x182)
% 0.25/0.53 [19]P2(x192,x193,x194)+~E(x191,x192)+~P2(x191,x193,x194)
% 0.25/0.53 [20]P2(x203,x202,x204)+~E(x201,x202)+~P2(x203,x201,x204)
% 0.25/0.53 [21]P2(x213,x214,x212)+~E(x211,x212)+~P2(x213,x214,x211)
% 0.25/0.53 [22]P4(x222,x223,x224,x225)+~E(x221,x222)+~P4(x221,x223,x224,x225)
% 0.25/0.53 [23]P4(x233,x232,x234,x235)+~E(x231,x232)+~P4(x233,x231,x234,x235)
% 0.25/0.53 [24]P4(x243,x244,x242,x245)+~E(x241,x242)+~P4(x243,x244,x241,x245)
% 0.25/0.53 [25]P4(x253,x254,x255,x252)+~E(x251,x252)+~P4(x253,x254,x255,x251)
% 0.25/0.53 [26]~P9(x261)+P9(x262)+~E(x261,x262)
% 0.25/0.53 [27]P8(x272,x273,x274)+~E(x271,x272)+~P8(x271,x273,x274)
% 0.25/0.53 [28]P8(x283,x282,x284)+~E(x281,x282)+~P8(x283,x281,x284)
% 0.25/0.53 [29]P8(x293,x294,x292)+~E(x291,x292)+~P8(x293,x294,x291)
% 0.25/0.53 [30]P10(x302,x303)+~E(x301,x302)+~P10(x301,x303)
% 0.25/0.53 [31]P10(x313,x312)+~E(x311,x312)+~P10(x313,x311)
% 0.25/0.53 [32]P6(x322,x323,x324)+~E(x321,x322)+~P6(x321,x323,x324)
% 0.25/0.53 [33]P6(x333,x332,x334)+~E(x331,x332)+~P6(x333,x331,x334)
% 0.25/0.53 [34]P6(x343,x344,x342)+~E(x341,x342)+~P6(x343,x344,x341)
% 0.25/0.53 [35]P11(x352,x353)+~E(x351,x352)+~P11(x351,x353)
% 0.25/0.53 [36]P11(x363,x362)+~E(x361,x362)+~P11(x363,x361)
% 0.25/0.53 [37]P7(x372,x373,x374)+~E(x371,x372)+~P7(x371,x373,x374)
% 0.25/0.53 [38]P7(x383,x382,x384)+~E(x381,x382)+~P7(x383,x381,x384)
% 0.25/0.53 [39]P7(x393,x394,x392)+~E(x391,x392)+~P7(x393,x394,x391)
% 0.25/0.53 [40]P5(x402,x403,x404,x405)+~E(x401,x402)+~P5(x401,x403,x404,x405)
% 0.25/0.53 [41]P5(x413,x412,x414,x415)+~E(x411,x412)+~P5(x413,x411,x414,x415)
% 0.25/0.53 [42]P5(x423,x424,x422,x425)+~E(x421,x422)+~P5(x423,x424,x421,x425)
% 0.25/0.53 [43]P5(x433,x434,x435,x432)+~E(x431,x432)+~P5(x433,x434,x435,x431)
% 0.25/0.53 [44]P3(x442,x443,x444,x445)+~E(x441,x442)+~P3(x441,x443,x444,x445)
% 0.25/0.53 [45]P3(x453,x452,x454,x455)+~E(x451,x452)+~P3(x453,x451,x454,x455)
% 0.25/0.53 [46]P3(x463,x464,x462,x465)+~E(x461,x462)+~P3(x463,x464,x461,x465)
% 0.25/0.53 [47]P3(x473,x474,x475,x472)+~E(x471,x472)+~P3(x473,x474,x475,x471)
% 0.25/0.53
% 0.25/0.53 %-------------------------------------------
% 0.25/0.53 cnf(115,plain,
% 0.25/0.53 (~P10(a10,a5)),
% 0.25/0.53 inference(scs_inference,[],[64,67,75])).
% 0.25/0.53 cnf(165,plain,
% 0.25/0.53 ($false),
% 0.25/0.53 inference(scs_inference,[],[57,115,56,88,87,89,90,81]),
% 0.25/0.53 ['proof']).
% 0.25/0.53 % SZS output end Proof
% 0.25/0.53 % Total time :0.020211s
%------------------------------------------------------------------------------