%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : MGT106+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 : n018.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 58.42s 58.64s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT106+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
% 0.09/0.35 % Computer : n018.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 7 14:43:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.27/0.51 start to proof:theBenchmark
% 58.42/58.63 %-------------------------------------------
% 58.42/58.63 % File :CSE---1.7
% 58.42/58.63 % Problem :theBenchmark
% 58.42/58.63 % Transform :cnf
% 58.42/58.63 % Format :tptp:raw
% 58.42/58.63 % Command :java -jar mcs_scs.jar %d %s
% 58.42/58.63
% 58.42/58.63 % Result :Theorem 58.091925s
% 58.42/58.63 % Output :CNFRefutation 58.091925s
% 58.42/58.63 %-------------------------------------------
% 58.42/58.63 %--------------------------------------------------------------------------
% 58.42/58.63 % File : MGT106+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 58.42/58.63 % Domain : Management
% 58.42/58.63 % Problem : intra-policy Box2D: width lteq 600 AND gteq 800 empty
% 58.42/58.63 % Version : Especial.
% 58.42/58.63 % English : width (0,600] intersection [800,infinity) = null.
% 58.42/58.63 % Single policy asserts width =< 600 AND >= 800 simultaneously.
% 58.42/58.63 % Contradiction via fresh witness w: in_lopen(w,v0,v600) forces
% 58.42/58.63 % leq(w,v600), and leq(v800,w) with less(v600,v800) gives
% 58.42/58.63 % less(w,v800) and less(v800,w) - irreflexivity closes the
% 58.42/58.63 % proof.
% 58.42/58.63
% 58.42/58.63 % Refs : [MC+26] Mustafa et al. (2026), Axis Decomposition for ODRL
% 58.42/58.63 % Source : [MC+26]
% 58.42/58.63 % Names : ODRL765-1.p [MC+26]
% 58.42/58.63
% 58.42/58.63 % Status : Unsatisfiable
% 58.42/58.63 % Rating : ? v9.3.1
% 58.42/58.63 % Syntax : Number of formulae : 36 ( 15 unt; 0 def)
% 58.42/58.63 % Number of atoms : 88 ( 26 equ)
% 58.42/58.63 % Maximal formula atoms : 7 ( 2 avg)
% 58.42/58.63 % Number of connectives : 62 ( 10 ~; 9 |; 23 &)
% 58.42/58.63 % ( 8 <=>; 12 =>; 0 <=; 0 <~>)
% 58.42/58.63 % Maximal formula depth : 9 ( 4 avg)
% 58.42/58.63 % Maximal term depth : 2 ( 1 avg)
% 58.42/58.63 % Number of predicates : 12 ( 11 usr; 0 prp; 1-4 aty)
% 58.42/58.63 % Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% 58.42/58.63 % Number of variables : 57 ( 55 !; 2 ?)
% 58.42/58.63 % SPC : FOF_UNS_RFO_SEQ
% 58.42/58.63
% 58.42/58.63 % Comments : intra-policy self-contradiction.
% 58.42/58.63 % Bugfixes : v9.3.1 - $distinct expanded to inequalities.
% 58.42/58.63 %--------------------------------------------------------------------------
% 58.42/58.63 include('Axioms/MGT002+0.ax').
% 58.42/58.63 include('Axioms/MGT002+2.ax').
% 58.42/58.63 %--------------------------------------------------------------------------
% 58.42/58.63 %----Named constants and ordering
% 58.42/58.63 fof(val_v0,axiom,
% 58.42/58.63 val(v0) ).
% 58.42/58.63
% 58.42/58.63 fof(val_v600,axiom,
% 58.42/58.63 val(v600) ).
% 58.42/58.63
% 58.42/58.63 fof(val_v800,axiom,
% 58.42/58.63 val(v800) ).
% 58.42/58.63
% 58.42/58.63 fof(ord_v0_v600,axiom,
% 58.42/58.63 less(v0,v600) ).
% 58.42/58.63
% 58.42/58.63 fof(ord_v600_v800,axiom,
% 58.42/58.63 less(v600,v800) ).
% 58.42/58.63
% 58.42/58.63 fof(distinct,axiom,
% 58.42/58.63 ( v0 != v600
% 58.42/58.63 & v0 != v800
% 58.42/58.63 & v600 != v800 ) ).
% 58.42/58.63
% 58.42/58.63 fof(wit_val,axiom,
% 58.42/58.63 val(w) ).
% 58.42/58.63
% 58.42/58.63 fof(wit_in_lopen,axiom,
% 58.42/58.63 in_lopen(w,v0,v600) ).
% 58.42/58.63
% 58.42/58.63 fof(wit_leq,axiom,
% 58.42/58.63 leq(v800,w) ).
% 58.42/58.63
% 58.42/58.64 %----No conjecture - contradiction in axioms
% 58.42/58.64 %--------------------------------------------------------------------------
% 58.42/58.64 %-------------------------------------------
% 58.42/58.64 % Proof found
% 58.42/58.64 % SZS status Theorem for theBenchmark
% 58.42/58.64 % SZS output start Proof
% 58.42/58.64 %ClaNum:103(EqnAxiom:47)
% 58.42/58.64 %VarNum:252(SingletonVarNum:111)
% 58.42/58.64 %MaxLitNum:6
% 58.42/58.64 %MaxfuncDepth:1
% 58.42/58.64 %SharedTerms:24
% 58.42/58.64 [48]P1(a1)
% 58.42/58.64 [49]P1(a2)
% 58.42/58.64 [50]P1(a4)
% 58.42/58.64 [51]P9(a8)
% 58.42/58.64 [52]P9(a9)
% 58.42/58.64 [53]P9(a10)
% 58.42/58.64 [54]P9(a11)
% 58.42/58.64 [55]P10(a8,a9)
% 58.42/58.64 [56]P10(a9,a10)
% 58.42/58.64 [57]P11(a10,a11)
% 58.42/58.64 [58]P2(a11,a8,a9)
% 58.42/58.64 [59]~E(a1,a2)
% 58.42/58.64 [60]~E(a1,a4)
% 58.42/58.64 [61]~E(a4,a2)
% 58.42/58.64 [62]~E(a9,a8)
% 58.42/58.64 [63]~E(a10,a8)
% 58.42/58.64 [64]~E(a10,a9)
% 58.42/58.64 [65]~P10(x651,x651)
% 58.42/58.64 [67]~E(x671,x672)+P11(x671,x672)
% 58.42/58.64 [75]~P10(x751,x752)+P11(x751,x752)
% 58.42/58.64 [87]P10(x871,x872)+~P2(x872,x871,x873)
% 58.42/58.64 [88]P10(x881,x882)+~P7(x881,x883,x882)
% 58.42/58.64 [89]P10(x891,x892)+~P8(x892,x891,x893)
% 58.42/58.64 [90]P10(x901,x902)+~P8(x901,x903,x902)
% 58.42/58.64 [91]P11(x911,x912)+~P3(x912,x911,x913)
% 58.42/58.64 [92]P11(x921,x922)+~P3(x921,x923,x922)
% 58.42/58.64 [93]P11(x931,x932)+~P2(x931,x933,x932)
% 58.42/58.64 [94]P11(x941,x942)+~P7(x942,x941,x943)
% 58.42/58.64 [98]P6(x981,x982,x983,x984)+P3(f5(x981,x982,x983,x984),x983,x984)
% 58.42/58.64 [99]P6(x991,x992,x993,x994)+P3(f5(x991,x992,x993,x994),x991,x992)
% 58.42/58.64 [100]P5(x1001,x1002,x1003,x1004)+P3(f6(x1001,x1002,x1003,x1004),x1001,x1002)
% 58.42/58.64 [101]~P4(x1011,x1012,x1013,x1014)+P3(f7(x1011,x1012,x1013,x1014),x1013,x1014)
% 58.42/58.64 [102]~P4(x1021,x1022,x1023,x1024)+P3(f7(x1021,x1022,x1023,x1024),x1021,x1022)
% 58.42/58.64 [103]P5(x1031,x1032,x1033,x1034)+~P3(f6(x1031,x1032,x1033,x1034),x1033,x1034)
% 58.42/58.64 [68]P10(x682,x681)+P10(x681,x682)+E(x681,x682)
% 58.42/58.64 [76]P10(x761,x762)+~P11(x761,x762)+E(x761,x762)
% 58.42/58.64 [77]~P11(x772,x771)+~P11(x771,x772)+E(x771,x772)
% 58.42/58.64 [79]~P10(x791,x793)+P10(x791,x792)+~P10(x793,x792)
% 58.42/58.64 [80]~P11(x801,x803)+P10(x801,x802)+~P10(x803,x802)
% 58.42/58.64 [81]~P11(x813,x812)+P10(x811,x812)+~P10(x811,x813)
% 58.42/58.64 [82]~P11(x821,x823)+P11(x821,x822)+~P11(x823,x822)
% 58.42/58.64 [83]~P11(x831,x833)+~P11(x832,x831)+P3(x831,x832,x833)
% 58.42/58.64 [84]~P10(x842,x841)+~P11(x841,x843)+P2(x841,x842,x843)
% 58.42/58.64 [85]~P10(x851,x853)+~P11(x852,x851)+P7(x851,x852,x853)
% 58.42/58.64 [86]~P10(x861,x863)+~P10(x862,x861)+P8(x861,x862,x863)
% 58.42/58.64 [95]~P3(x955,x951,x952)+P4(x951,x952,x953,x954)+~P3(x955,x953,x954)
% 58.42/58.64 [96]~P5(x964,x965,x962,x963)+P3(x961,x962,x963)+~P3(x961,x964,x965)
% 58.42/58.64 [97]~P6(x974,x975,x972,x973)+~P3(x971,x972,x973)+~P3(x971,x974,x975)
% 58.42/58.64 [66]~P1(x661)+E(x661,a2)+E(x661,a4)+E(x661,a1)
% 58.42/58.64 [69]~P1(x691)+~P1(x692)+~E(x692,a1)+E(f3(x691,x692),a1)
% 58.42/58.64 [70]~P1(x702)+~P1(x701)+~E(x701,a1)+E(f3(x701,x702),a1)
% 58.42/58.64 [71]~P1(x712)+~P1(x711)+~E(x712,a2)+~E(x711,a2)+E(f3(x711,x712),a2)
% 58.42/58.64 [78]~P1(x782)+~P1(x781)+E(f3(x781,x782),a1)+E(f3(x781,x782),a2)+E(f3(x781,x782),a4)
% 58.42/58.64 [72]~P1(x721)+~P1(x722)+~E(x722,a4)+E(x721,a1)+E(x722,a1)+E(f3(x721,x722),a4)
% 58.42/58.64 [73]~P1(x731)+~P1(x732)+~E(x732,a4)+E(x731,a1)+E(x732,a1)+E(f3(x732,x731),a4)
% 58.42/58.64 %EqnAxiom
% 58.42/58.64 [1]E(x11,x11)
% 58.42/58.64 [2]E(x22,x21)+~E(x21,x22)
% 58.42/58.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 58.42/58.64 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 58.42/58.64 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 58.42/58.64 [6]~E(x61,x62)+E(f6(x61,x63,x64,x65),f6(x62,x63,x64,x65))
% 58.42/58.64 [7]~E(x71,x72)+E(f6(x73,x71,x74,x75),f6(x73,x72,x74,x75))
% 58.42/58.64 [8]~E(x81,x82)+E(f6(x83,x84,x81,x85),f6(x83,x84,x82,x85))
% 58.42/58.64 [9]~E(x91,x92)+E(f6(x93,x94,x95,x91),f6(x93,x94,x95,x92))
% 58.42/58.64 [10]~E(x101,x102)+E(f7(x101,x103,x104,x105),f7(x102,x103,x104,x105))
% 58.42/58.64 [11]~E(x111,x112)+E(f7(x113,x111,x114,x115),f7(x113,x112,x114,x115))
% 58.42/58.64 [12]~E(x121,x122)+E(f7(x123,x124,x121,x125),f7(x123,x124,x122,x125))
% 58.42/58.64 [13]~E(x131,x132)+E(f7(x133,x134,x135,x131),f7(x133,x134,x135,x132))
% 58.42/58.64 [14]~E(x141,x142)+E(f5(x141,x143,x144,x145),f5(x142,x143,x144,x145))
% 58.42/58.64 [15]~E(x151,x152)+E(f5(x153,x151,x154,x155),f5(x153,x152,x154,x155))
% 58.42/58.64 [16]~E(x161,x162)+E(f5(x163,x164,x161,x165),f5(x163,x164,x162,x165))
% 58.42/58.64 [17]~E(x171,x172)+E(f5(x173,x174,x175,x171),f5(x173,x174,x175,x172))
% 58.42/58.64 [18]~P1(x181)+P1(x182)+~E(x181,x182)
% 58.42/58.64 [19]P3(x192,x193,x194)+~E(x191,x192)+~P3(x191,x193,x194)
% 58.42/58.64 [20]P3(x203,x202,x204)+~E(x201,x202)+~P3(x203,x201,x204)
% 58.42/58.64 [21]P3(x213,x214,x212)+~E(x211,x212)+~P3(x213,x214,x211)
% 58.42/58.64 [22]P5(x222,x223,x224,x225)+~E(x221,x222)+~P5(x221,x223,x224,x225)
% 58.42/58.64 [23]P5(x233,x232,x234,x235)+~E(x231,x232)+~P5(x233,x231,x234,x235)
% 58.42/58.64 [24]P5(x243,x244,x242,x245)+~E(x241,x242)+~P5(x243,x244,x241,x245)
% 58.42/58.64 [25]P5(x253,x254,x255,x252)+~E(x251,x252)+~P5(x253,x254,x255,x251)
% 58.42/58.64 [26]~P9(x261)+P9(x262)+~E(x261,x262)
% 58.42/58.64 [27]P8(x272,x273,x274)+~E(x271,x272)+~P8(x271,x273,x274)
% 58.42/58.64 [28]P8(x283,x282,x284)+~E(x281,x282)+~P8(x283,x281,x284)
% 58.42/58.64 [29]P8(x293,x294,x292)+~E(x291,x292)+~P8(x293,x294,x291)
% 58.42/58.64 [30]P10(x302,x303)+~E(x301,x302)+~P10(x301,x303)
% 58.42/58.64 [31]P10(x313,x312)+~E(x311,x312)+~P10(x313,x311)
% 58.42/58.64 [32]P7(x322,x323,x324)+~E(x321,x322)+~P7(x321,x323,x324)
% 58.42/58.64 [33]P7(x333,x332,x334)+~E(x331,x332)+~P7(x333,x331,x334)
% 58.42/58.64 [34]P7(x343,x344,x342)+~E(x341,x342)+~P7(x343,x344,x341)
% 58.42/58.64 [35]P2(x352,x353,x354)+~E(x351,x352)+~P2(x351,x353,x354)
% 58.42/58.64 [36]P2(x363,x362,x364)+~E(x361,x362)+~P2(x363,x361,x364)
% 58.42/58.64 [37]P2(x373,x374,x372)+~E(x371,x372)+~P2(x373,x374,x371)
% 58.42/58.64 [38]P11(x382,x383)+~E(x381,x382)+~P11(x381,x383)
% 58.42/58.64 [39]P11(x393,x392)+~E(x391,x392)+~P11(x393,x391)
% 58.42/58.64 [40]P6(x402,x403,x404,x405)+~E(x401,x402)+~P6(x401,x403,x404,x405)
% 58.42/58.64 [41]P6(x413,x412,x414,x415)+~E(x411,x412)+~P6(x413,x411,x414,x415)
% 58.42/58.64 [42]P6(x423,x424,x422,x425)+~E(x421,x422)+~P6(x423,x424,x421,x425)
% 58.42/58.64 [43]P6(x433,x434,x435,x432)+~E(x431,x432)+~P6(x433,x434,x435,x431)
% 58.42/58.64 [44]P4(x442,x443,x444,x445)+~E(x441,x442)+~P4(x441,x443,x444,x445)
% 58.42/58.64 [45]P4(x453,x452,x454,x455)+~E(x451,x452)+~P4(x453,x451,x454,x455)
% 58.42/58.64 [46]P4(x463,x464,x462,x465)+~E(x461,x462)+~P4(x463,x464,x461,x465)
% 58.42/58.64 [47]P4(x473,x474,x475,x472)+~E(x471,x472)+~P4(x473,x474,x475,x471)
% 58.42/58.64
% 58.42/58.64 %-------------------------------------------
% 58.42/58.64 cnf(104,plain,
% 58.42/58.64 (P11(x1041,x1041)),
% 58.42/58.64 inference(equality_inference,[],[67])).
% 58.42/58.64 cnf(105,plain,
% 58.42/58.64 (~P1(x1051)+~P1(a1)+E(f3(x1051,a1),a1)),
% 58.42/58.64 inference(equality_inference,[],[69])).
% 58.42/58.64 cnf(106,plain,
% 58.42/58.64 (~P1(x1061)+~P1(a1)+E(f3(a1,x1061),a1)),
% 58.42/58.64 inference(equality_inference,[],[70])).
% 58.42/58.64 cnf(107,plain,
% 58.42/58.64 (~P1(x1071)+~P1(a4)+E(x1071,a1)+E(a4,a1)+E(f3(x1071,a4),a4)),
% 58.42/58.64 inference(equality_inference,[],[72])).
% 58.42/58.64 cnf(109,plain,
% 58.42/58.64 (~P1(x1091)+E(f3(x1091,a1),a1)),
% 58.42/58.64 inference(scs_inference,[],[48,105])).
% 58.42/58.64 cnf(110,plain,
% 58.42/58.64 (~P1(x1101)+E(f3(a1,x1101),a1)),
% 58.42/58.64 inference(scs_inference,[],[48,106])).
% 58.42/58.64 cnf(111,plain,
% 58.42/58.64 (~P1(x1111)+E(x1111,a1)+E(a4,a1)+E(f3(x1111,a4),a4)),
% 58.42/58.64 inference(scs_inference,[],[50,107])).
% 58.42/58.64 cnf(113,plain,
% 58.42/58.64 (~P2(x1131,x1131,x1132)),
% 58.42/58.64 inference(scs_inference,[],[65,87])).
% 58.42/58.64 cnf(115,plain,
% 58.42/58.64 (~P7(x1151,x1152,x1151)),
% 58.42/58.64 inference(scs_inference,[],[65,87,88])).
% 58.42/58.64 cnf(117,plain,
% 58.42/58.64 (~P8(x1171,x1171,x1172)),
% 58.42/58.64 inference(scs_inference,[],[65,87,88,89])).
% 58.42/58.64 cnf(121,plain,
% 58.42/58.64 (~P10(a9,a8)),
% 58.42/58.64 inference(scs_inference,[],[65,55,87,88,89,90,79])).
% 58.42/58.64 cnf(142,plain,
% 58.42/58.64 (P10(a9,a11)),
% 58.42/58.64 inference(scs_inference,[],[56,57,121,90,89,88,87,81])).
% 58.42/58.64 cnf(145,plain,
% 58.42/58.64 (P10(a8,a10)),
% 58.42/58.64 inference(scs_inference,[],[56,57,55,121,90,89,88,87,81,31,79])).
% 58.42/58.64 cnf(160,plain,
% 58.42/58.64 (P10(a8,a11)),
% 58.42/58.64 inference(scs_inference,[],[57,145,81])).
% 58.42/58.64 cnf(191,plain,
% 58.42/58.64 (~P10(x1911,x1911)),
% 58.42/58.64 inference(rename_variables,[],[65])).
% 58.42/58.64 cnf(203,plain,
% 58.42/58.64 (P11(x2031,x2032)+~E(x2032,x2031)),
% 58.42/58.64 inference(scs_inference,[],[104,145,160,65,191,79,30,87,90,88,89,38])).
% 58.42/58.64 cnf(234,plain,
% 58.42/58.64 (~E(a2,x2341)+E(f3(x2341,a1),a1)),
% 58.42/58.64 inference(scs_inference,[],[49,109,18])).
% 58.42/58.64 cnf(235,plain,
% 58.42/58.64 (E(f3(a2,a1),a1)),
% 58.42/58.64 inference(equality_inference,[],[234])).
% 58.42/58.64 cnf(237,plain,
% 58.42/58.64 (E(a1,f3(a2,a1))),
% 58.42/58.64 inference(scs_inference,[],[235,203,2])).
% 58.42/58.64 cnf(238,plain,
% 58.42/58.64 (~E(a11,a9)),
% 58.42/58.64 inference(scs_inference,[],[65,142,235,203,2,31])).
% 58.42/58.64 cnf(240,plain,
% 58.42/58.64 (P11(f3(a2,a1),a1)),
% 58.42/58.64 inference(scs_inference,[],[65,104,142,235,203,2,31,39])).
% 58.42/58.64 cnf(242,plain,
% 58.42/58.64 (P1(f3(a2,a1))),
% 58.42/58.64 inference(scs_inference,[],[65,104,142,235,48,203,2,31,39,18])).
% 58.42/58.64 cnf(253,plain,
% 58.42/58.64 (E(f3(a1,f3(a2,a1)),a1)),
% 58.42/58.64 inference(scs_inference,[],[237,48,110,18])).
% 58.42/58.64 cnf(255,plain,
% 58.42/58.64 (E(a1,f3(a1,f3(a2,a1)))),
% 58.42/58.64 inference(scs_inference,[],[253,203,2])).
% 58.42/58.64 cnf(256,plain,
% 58.42/58.64 (E(f3(a2,a1),f3(a1,f3(a2,a1)))),
% 58.42/58.64 inference(scs_inference,[],[235,253,203,2,3])).
% 58.42/58.64 cnf(258,plain,
% 58.42/58.64 (P11(f3(a2,a1),f3(a1,f3(a2,a1)))),
% 58.42/58.64 inference(scs_inference,[],[237,235,253,48,203,2,3,18,38])).
% 58.42/58.64 cnf(301,plain,
% 58.42/58.64 (E(f3(f3(a2,a1),x3011),f3(a1,x3011))),
% 58.42/58.64 inference(scs_inference,[],[237,4,2])).
% 58.42/58.64 cnf(302,plain,
% 58.42/58.64 (P11(f3(a1,x3021),f3(f3(a2,a1),x3021))),
% 58.42/58.64 inference(scs_inference,[],[301,203])).
% 58.42/58.64 cnf(303,plain,
% 58.42/58.64 (E(f3(a1,x3031),f3(f3(a2,a1),x3031))),
% 58.42/58.64 inference(scs_inference,[],[301,203,2])).
% 58.42/58.65 cnf(304,plain,
% 58.42/58.65 (E(a1,f3(f3(a2,a1),f3(a2,a1)))),
% 58.42/58.65 inference(scs_inference,[],[255,301,203,2,3])).
% 58.42/58.65 cnf(311,plain,
% 58.42/58.65 (E(f3(f3(a2,a1),f3(a2,a1)),a1)),
% 58.42/58.65 inference(scs_inference,[],[304,203,2])).
% 58.42/58.65 cnf(325,plain,
% 58.42/58.65 (P11(f3(f3(a2,a1),x3251),f3(a1,x3251))),
% 58.42/58.65 inference(scs_inference,[],[303,203])).
% 58.42/58.65 cnf(344,plain,
% 58.42/58.65 (P5(x3441,a1,x3442,x3443)+~P3(f6(x3441,f3(a2,a1),x3442,x3443),x3442,x3443)),
% 58.42/58.65 inference(scs_inference,[],[235,103,23])).
% 58.42/58.65 cnf(367,plain,
% 58.42/58.65 (P5(x3671,f3(a2,a1),x3671,f3(a2,a1))+P5(x3671,a1,x3671,f3(a2,a1))),
% 58.42/58.65 inference(scs_inference,[],[344,100])).
% 58.42/58.65 cnf(369,plain,
% 58.42/58.65 (P5(f3(f3(a2,a1),f3(a2,a1)),f3(a2,a1),a1,f3(a2,a1))+P5(a1,a1,a1,f3(a2,a1))),
% 58.42/58.65 inference(scs_inference,[],[304,367,22])).
% 58.42/58.65 cnf(377,plain,
% 58.42/58.65 (P5(f3(f3(a2,a1),f3(a2,a1)),a1,a1,f3(a2,a1))+P5(a1,a1,a1,f3(a2,a1))),
% 58.42/58.65 inference(scs_inference,[],[235,369,23])).
% 58.42/58.65 cnf(378,plain,
% 58.42/58.65 (P5(a1,a1,a1,f3(a2,a1))),
% 58.42/58.65 inference(scs_inference,[],[311,377,22])).
% 58.42/58.65 cnf(379,plain,
% 58.42/58.65 (P5(f3(a2,a1),a1,a1,f3(a2,a1))),
% 58.42/58.65 inference(scs_inference,[],[237,378,22])).
% 58.42/58.65 cnf(380,plain,
% 58.42/58.65 (P5(a1,f3(a2,a1),a1,f3(a2,a1))),
% 58.42/58.65 inference(scs_inference,[],[237,378,22,23])).
% 58.42/58.65 cnf(382,plain,
% 58.42/58.65 (P5(a1,a1,a1,a1)),
% 58.42/58.65 inference(scs_inference,[],[237,235,378,22,23,24,25])).
% 58.42/58.65 cnf(383,plain,
% 58.42/58.65 (P5(a1,a1,f3(a2,a1),a1)),
% 58.42/58.65 inference(scs_inference,[],[237,382,24])).
% 58.42/58.65 cnf(384,plain,
% 58.42/58.65 (P5(a1,f3(a2,a1),a1,a1)),
% 58.42/58.65 inference(scs_inference,[],[237,382,24,23])).
% 58.42/58.65 cnf(385,plain,
% 58.42/58.65 (P5(f3(a2,a1),a1,a1,a1)),
% 58.42/58.65 inference(scs_inference,[],[235,237,382,379,24,23,25])).
% 58.42/58.65 cnf(386,plain,
% 58.42/58.65 (P5(f3(a2,a1),f3(a2,a1),a1,f3(a2,a1))),
% 58.42/58.65 inference(scs_inference,[],[235,237,382,379,380,24,23,25,22])).
% 58.42/58.65 cnf(393,plain,
% 58.42/58.65 (P5(a1,f3(a2,a1),f3(a2,a1),a1)),
% 58.42/58.65 inference(scs_inference,[],[237,383,23])).
% 58.42/58.65 cnf(620,plain,
% 58.42/58.65 (E(a1,f3(a1,a4))),
% 58.42/58.65 inference(scs_inference,[],[50,2,110])).
% 58.42/58.65 cnf(622,plain,
% 58.42/58.65 (P11(f3(a1,a4),a1)),
% 58.42/58.65 inference(scs_inference,[],[620,2,203])).
% 58.42/58.65 cnf(820,plain,
% 58.42/58.65 (E(a1,f3(a1,a2))),
% 58.42/58.65 inference(scs_inference,[],[49,2,110])).
% 58.42/58.65 cnf(822,plain,
% 58.42/58.65 (E(f3(a1,a2),a1)),
% 58.42/58.65 inference(scs_inference,[],[820,203,2])).
% 58.42/58.65 cnf(826,plain,
% 58.42/58.65 (E(f3(a2,a1),f3(a1,a2))),
% 58.42/58.65 inference(scs_inference,[],[235,325,820,203,2,82,3])).
% 58.42/58.65 cnf(836,plain,
% 58.42/58.65 (E(f3(a1,a2),f3(a2,a1))),
% 58.42/58.65 inference(scs_inference,[],[822,826,203,2])).
% 58.42/58.65 cnf(837,plain,
% 58.42/58.65 (P11(f3(a2,a1),f3(a1,a2))),
% 58.42/58.65 inference(scs_inference,[],[240,822,826,203,2,82])).
% 58.42/58.65 cnf(1361,plain,
% 58.42/58.65 (E(f3(a4,a4),a4)),
% 58.42/58.65 inference(scs_inference,[],[60,50,2,111])).
% 58.42/58.65 cnf(1364,plain,
% 58.42/58.65 (~E(a1,f3(a4,a4))),
% 58.42/58.65 inference(scs_inference,[],[1361,60,203,2,3])).
% 58.42/58.65 cnf(1365,plain,
% 58.42/58.65 (P1(f3(a4,a4))),
% 58.42/58.65 inference(scs_inference,[],[1361,60,50,203,2,3,18])).
% 58.42/58.65 cnf(1381,plain,
% 58.42/58.65 (E(a1,f3(f3(a4,a4),a1))),
% 58.42/58.65 inference(scs_inference,[],[1365,2,109])).
% 58.42/58.65 cnf(1383,plain,
% 58.42/58.65 (E(f3(f3(a4,a4),a1),a1)),
% 58.42/58.65 inference(scs_inference,[],[1381,203,2])).
% 58.42/58.65 cnf(1423,plain,
% 58.42/58.65 (~E(a4,a1)),
% 58.42/58.65 inference(scs_inference,[],[1364,50,2,70])).
% 58.42/58.65 cnf(1426,plain,
% 58.42/58.65 (~E(a4,f3(a1,f3(a2,a1)))),
% 58.42/58.65 inference(scs_inference,[],[253,1423,3])).
% 58.42/58.65 cnf(1428,plain,
% 58.42/58.65 (~E(a4,f3(a2,a1))),
% 58.42/58.65 inference(scs_inference,[],[256,1426,3])).
% 58.42/58.65 cnf(1435,plain,
% 58.42/58.65 (E(a1,f3(f3(a2,a1),a1))),
% 58.42/58.65 inference(scs_inference,[],[242,2,109])).
% 58.42/58.65 cnf(1437,plain,
% 58.42/58.65 (E(f3(f3(a2,a1),a1),a1)),
% 58.42/58.65 inference(scs_inference,[],[1435,203,2])).
% 58.42/58.65 cnf(1438,plain,
% 58.42/58.65 (P11(f3(a1,a1),a1)),
% 58.42/58.65 inference(scs_inference,[],[302,1435,203,2,82])).
% 58.42/58.65 cnf(1441,plain,
% 58.42/58.65 (P1(f3(f3(a2,a1),a1))),
% 58.42/58.65 inference(scs_inference,[],[302,1435,48,203,2,82,18])).
% 58.42/58.65 cnf(1442,plain,
% 58.42/58.65 (P11(f3(a1,a1),f3(a1,f3(a2,a1)))),
% 58.42/58.65 inference(scs_inference,[],[255,302,1435,48,203,2,82,18,39])).
% 58.42/58.65 cnf(1444,plain,
% 58.42/58.65 (E(f3(a1,a1),a1)+~P11(a1,f3(a1,a1))),
% 58.42/58.65 inference(scs_inference,[],[255,302,836,1435,1428,48,203,2,82,18,39,3,77])).
% 58.42/58.65 cnf(1450,plain,
% 58.42/58.65 (P11(a1,f3(f3(a2,a1),a1))),
% 58.42/58.65 inference(scs_inference,[],[1437,203])).
% 58.42/58.65 cnf(1454,plain,
% 58.42/58.65 (E(f3(f3(a2,a1),x14541),f3(a1,x14541))),
% 58.42/58.65 inference(rename_variables,[],[301])).
% 58.42/58.65 cnf(1455,plain,
% 58.42/58.65 (P11(a1,f3(a1,a1))),
% 58.42/58.65 inference(scs_inference,[],[240,301,1454,1441,1437,203,82,18,39])).
% 58.42/58.65 cnf(1462,plain,
% 58.42/58.65 (P11(f3(a1,f3(a2,a1)),f3(a1,a1))),
% 58.42/58.65 inference(scs_inference,[],[240,255,301,1454,1383,1442,1441,1437,1423,203,82,18,39,3,1444,2,77,38])).
% 58.42/58.65 cnf(1468,plain,
% 58.42/58.65 (P11(f3(a2,a1),f3(a1,a1))),
% 58.42/58.65 inference(scs_inference,[],[258,1462,82])).
% 58.42/58.65 cnf(1555,plain,
% 58.42/58.65 (P11(f3(a1,a2),f3(a1,a1))),
% 58.42/58.65 inference(scs_inference,[],[820,1455,38])).
% 58.42/58.65 cnf(1556,plain,
% 58.42/58.65 (P11(f3(a1,a1),f3(a1,a2))),
% 58.42/58.65 inference(scs_inference,[],[820,1438,1455,38,39])).
% 58.42/58.65 cnf(1560,plain,
% 58.42/58.65 (P5(f3(a2,a1),f3(a1,a2),a1,a1)),
% 58.42/58.65 inference(scs_inference,[],[820,384,385,1438,1455,38,39,24,22,25,23])).
% 58.42/58.65 cnf(1570,plain,
% 58.42/58.65 (P11(f3(f3(a2,a1),a1),f3(a1,a2))),
% 58.42/58.65 inference(scs_inference,[],[325,1556,82])).
% 58.42/58.65 cnf(1573,plain,
% 58.42/58.65 (P11(f3(a1,a2),f3(f3(a2,a1),a1))),
% 58.42/58.65 inference(scs_inference,[],[820,325,1450,1556,82,38])).
% 58.42/58.65 cnf(1588,plain,
% 58.42/58.65 (P5(f3(a2,a1),f3(a2,a1),f3(a1,a2),f3(a2,a1))),
% 58.42/58.65 inference(scs_inference,[],[820,386,1570,1573,77,24])).
% 58.42/58.65 cnf(1590,plain,
% 58.42/58.65 (P5(f3(a2,a1),a1,a1,f3(a1,a2))),
% 58.42/58.65 inference(scs_inference,[],[820,385,386,393,1570,1573,77,24,22,25])).
% 58.42/58.65 cnf(1601,plain,
% 58.42/58.65 (P11(f3(a1,a1),f3(a2,a1))),
% 58.42/58.65 inference(scs_inference,[],[237,1438,39])).
% 58.42/58.65 cnf(1606,plain,
% 58.42/58.65 (E(f3(a2,a1),f3(a1,a1))),
% 58.42/58.65 inference(scs_inference,[],[1590,237,235,1468,1438,1560,1588,39,24,22,25,23,77])).
% 58.42/58.65 cnf(1631,plain,
% 58.42/58.65 (~P10(x16311,x16311)),
% 58.42/58.65 inference(rename_variables,[],[65])).
% 58.42/58.65 cnf(1634,plain,
% 58.42/58.65 (~P8(x16341,x16341,x16342)),
% 58.42/58.65 inference(rename_variables,[],[117])).
% 58.42/58.65 cnf(1642,plain,
% 58.42/58.65 (P11(x16421,x16421)),
% 58.42/58.65 inference(rename_variables,[],[104])).
% 58.42/58.65 cnf(1648,plain,
% 58.42/58.65 (~P10(x16481,x16481)),
% 58.42/58.65 inference(rename_variables,[],[65])).
% 58.42/58.65 cnf(1651,plain,
% 58.42/58.65 (~P10(x16511,x16511)),
% 58.42/58.65 inference(rename_variables,[],[65])).
% 58.42/58.65 cnf(1658,plain,
% 58.42/58.65 (~P2(x16581,x16581,x16582)),
% 58.42/58.65 inference(rename_variables,[],[113])).
% 58.42/58.65 cnf(1665,plain,
% 58.42/58.65 ($false),
% 58.42/58.65 inference(scs_inference,[],[117,1634,238,61,1606,1601,1555,837,1455,160,622,115,142,50,55,104,1642,65,1631,1648,1651,113,1658,58,109,67,75,93,2,80,27,28,32,83,84,85,81,79,86,82,36,77,35,31,76]),
% 58.42/58.65 ['proof']).
% 58.42/58.65 % SZS output end Proof
% 58.42/58.65 % Total time :58.091925s
%------------------------------------------------------------------------------