TSTP Solution File: NUM489+3 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : NUM489+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n026.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  : 300s
% DateTime : Thu Aug 31 10:38:01 EDT 2023

% Result   : Theorem 2.00s 2.04s
% Output   : CNFRefutation 2.00s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : NUM489+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.35  % Computer : n026.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri Aug 25 16:22:48 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.21/0.58  start to proof: theBenchmark
% 2.00/2.04  % Version  : CSE_E---1.5
% 2.00/2.04  % Problem  : theBenchmark.p
% 2.00/2.04  % Proof found
% 2.00/2.04  % SZS status Theorem for theBenchmark.p
% 2.00/2.04  % SZS output start Proof
% 2.00/2.04  [2]P1(a1)
% 2.00/2.04  [3]~E(a1,a17)
% 2.00/2.04  [4]P1(a17)
% 2.00/2.04  [71]P1(a20)
% 2.00/2.04  [72]P1(a19)
% 2.00/2.04  [73]P1(a18)
% 2.00/2.04  [202]P1(a2)
% 2.00/2.04  [203]P2(a20)
% 2.00/2.04  [206]~E(a20,a17)
% 2.00/2.04  [207]~E(a1,a20)
% 2.00/2.04  [208]P5(a20,a18)
% 2.00/2.04  [210]P1(a3)
% 2.00/2.04  [213]P1(a21)
% 2.00/2.04  [214]P5(a21,a18)
% 2.00/2.04  [216]P1(a4)
% 2.00/2.04  [217]~E(a21,a18)
% 2.00/2.04  [200]P3(a20,f14(a18,a19))
% 2.00/2.04  [201]E(f14(a20,a2),f14(a18,a19))
% 2.00/2.04  [209]E(f15(a20,a3),a18)
% 2.00/2.04  [211]E(f13(a18,a20),a21)
% 2.00/2.05  [212]E(f15(a20,a21),a18)
% 2.00/2.05  [215]E(f15(a21,a4),a18)
% 2.00/2.05  [218]~E(f15(a20,a21),a18)
% 2.00/2.05  [32]~P1(x321)+P5(x321,x321)
% 2.00/2.05  [9]~P1(x91)+E(f15(a1,x91),x91)
% 2.00/2.05  [10]~P1(x101)+E(f15(x101,a1),x101)
% 2.00/2.05  [13]~P1(x131)+E(f14(a17,x131),x131)
% 2.00/2.05  [14]~P1(x141)+E(f14(x141,a17),x141)
% 2.00/2.05  [15]~P1(x151)+E(f14(a1,x151),a1)
% 2.00/2.05  [16]~P1(x161)+E(f14(x161,a1),a1)
% 2.00/2.05  [66]~P1(x661)+~P2(x661)+~E(x661,a17)
% 2.00/2.05  [67]~P1(x671)+~P2(x671)+~E(x671,a1)
% 2.00/2.05  [5]~P1(x52)+~P1(x51)+P1(f15(x51,x52))
% 2.00/2.05  [6]~P1(x62)+~P1(x61)+P1(f14(x61,x62))
% 2.00/2.05  [7]~P1(x72)+~P1(x71)+E(f15(x71,x72),f15(x72,x71))
% 2.00/2.05  [11]~P1(x112)+~P1(x111)+E(f14(x111,x112),f14(x112,x111))
% 2.00/2.05  [45]~P1(x451)+E(x451,a17)+P5(a17,x451)+E(x451,a1)
% 2.00/2.05  [204]~P1(x2041)+E(x2041,a20)+~P3(x2041,a20)+E(x2041,a17)
% 2.00/2.05  [68]~P1(x681)+E(x681,a17)+E(x681,a1)+P2(f5(x681))
% 2.00/2.05  [69]~P1(x691)+E(x691,a17)+P3(f5(x691),x691)+E(x691,a1)
% 2.00/2.05  [70]~P1(x701)+E(x701,a17)+E(x701,a1)+P1(f5(x701))
% 2.00/2.05  [35]P5(x352,x351)+~P1(x351)+~P1(x352)+P5(x351,x352)
% 2.00/2.05  [36]~E(x362,x361)+~P1(x361)+~P1(x362)+P5(x361,x362)
% 2.00/2.05  [23]~P1(x232)+~P1(x231)+E(x231,a1)+~E(f15(x232,x231),a1)
% 2.00/2.05  [24]~P1(x242)+~P1(x241)+E(x241,a1)+~E(f15(x241,x242),a1)
% 2.00/2.05  [28]~P1(x282)+~P1(x281)+~P5(x281,x282)+P1(f7(x281,x282))
% 2.00/2.05  [47]~P1(x472)+~P1(x471)+P5(x472,f14(x472,x471))+E(x471,a1)
% 2.00/2.05  [52]~P1(x522)+~P1(x521)+~P3(x521,x522)+P1(f8(x521,x522))
% 2.00/2.05  [27]~P1(x272)+~P1(x271)+~P5(x271,x272)+E(f15(x271,f7(x271,x272)),x272)
% 2.00/2.05  [51]~P1(x511)+~P1(x512)+~P3(x511,x512)+E(f14(x511,f8(x511,x512)),x512)
% 2.00/2.05  [8]~P1(x83)+~P1(x82)+~P1(x81)+E(f15(f15(x81,x82),x83),f15(x81,f15(x82,x83)))
% 2.00/2.05  [12]~P1(x123)+~P1(x122)+~P1(x121)+E(f14(f14(x121,x122),x123),f14(x121,f14(x122,x123)))
% 2.00/2.05  [17]~P1(x172)+~P1(x173)+~P1(x171)+E(f15(f14(x171,x172),f14(x173,x172)),f14(f15(x171,x173),x172))
% 2.00/2.05  [18]~P1(x183)+~P1(x182)+~P1(x181)+E(f15(f14(x181,x182),f14(x181,x183)),f14(x181,f15(x182,x183)))
% 2.00/2.05  [61]P2(x611)+~P1(x611)+E(x611,a17)+~E(f6(x611),x611)+E(x611,a1)
% 2.00/2.05  [62]P2(x621)+~P1(x621)+E(x621,a17)+E(x621,a1)+~E(f6(x621),a17)
% 2.00/2.05  [63]P2(x631)+~P1(x631)+E(x631,a17)+P3(f6(x631),x631)+E(x631,a1)
% 2.00/2.05  [64]P2(x641)+~P1(x641)+E(x641,a17)+E(x641,a1)+P1(f6(x641))
% 2.00/2.05  [33]~P1(x332)+~P1(x331)+~P5(x332,x331)+~P5(x331,x332)+E(x331,x332)
% 2.00/2.05  [49]P4(x491,x492)+~P1(x492)+~P1(x491)+~P5(x491,x492)+E(x491,x492)
% 2.00/2.05  [59]~P1(x591)+~P1(x592)+~P3(x592,x591)+P5(x592,x591)+E(x591,a1)
% 2.00/2.05  [25]~P1(x251)+~P1(x252)+E(x251,a1)+E(x252,a1)+~E(f14(x252,x251),a1)
% 2.00/2.05  [205]~P1(x2051)+~P1(x2052)+E(x2051,a20)+E(x2051,a17)+~E(f14(x2051,x2052),a20)
% 2.00/2.05  [19]~P1(x192)+~P1(x193)+~P1(x191)+E(x191,x192)+~E(f15(x191,x193),f15(x192,x193))
% 2.00/2.05  [20]~P1(x202)+~P1(x201)+~P1(x203)+E(x201,x202)+~E(f15(x203,x201),f15(x203,x202))
% 2.00/2.05  [26]~P1(x262)+~P1(x261)+~P1(x263)+P5(x261,x262)+~E(f15(x261,x263),x262)
% 2.00/2.05  [30]~P1(x303)+~P1(x301)+~P5(x301,x303)+~E(x302,f13(x303,x301))+E(f15(x301,x302),x303)
% 2.00/2.05  [31]~P1(x313)+~P1(x312)+~P5(x313,x312)+P1(x311)+~E(x311,f13(x312,x313))
% 2.00/2.05  [50]~P1(x501)+~P1(x502)+~P1(x503)+P3(x501,x502)+~E(x502,f14(x501,x503))
% 2.00/2.05  [65]~P1(x652)+~P1(x651)+~P2(x652)+~P3(x651,x652)+E(x651,x652)+E(x651,a17)
% 2.00/2.05  [34]~P1(x342)+~P1(x341)+~P5(x343,x342)+~P5(x341,x343)+P5(x341,x342)+~P1(x343)
% 2.00/2.05  [56]~P1(x562)+~P1(x561)+~P3(x563,x562)+~P3(x561,x563)+P3(x561,x562)+~P1(x563)
% 2.00/2.05  [21]~P1(x212)+~P1(x213)+~P1(x211)+E(x211,x212)+~E(f14(x211,x213),f14(x212,x213))+E(x213,a1)
% 2.00/2.05  [22]~P1(x222)+~P1(x221)+~P1(x223)+E(x221,x222)+~E(f14(x223,x221),f14(x223,x222))+E(x223,a1)
% 2.00/2.05  [29]~P1(x292)+~P1(x293)+~P1(x291)+~P5(x293,x292)+~E(f15(x293,x291),x292)+E(x291,f13(x292,x293))
% 2.00/2.05  [37]~P1(x372)+~P1(x373)+~P1(x371)+~P5(x371,x372)+E(x371,x372)+P5(f15(x371,x373),f15(x372,x373))
% 2.00/2.05  [39]~P1(x392)+~P1(x391)+~P1(x393)+~P5(x391,x392)+E(x391,x392)+P5(f15(x393,x391),f15(x393,x392))
% 2.00/2.05  [54]~P1(x541)+~P1(x542)+~P3(x541,x542)+~E(x543,f16(x542,x541))+E(x541,a1)+E(x542,f14(x541,x543))
% 2.00/2.05  [55]~P1(x551)+~P1(x553)+~P3(x551,x553)+P1(x552)+E(x551,a1)+~E(x552,f16(x553,x551))
% 2.00/2.05  [57]~P1(x573)+~P1(x572)+~P1(x571)+~P3(x571,x573)+~P3(x571,x572)+P3(x571,f15(x572,x573))
% 2.00/2.05  [58]~P1(x582)+~P1(x581)+~P3(x581,x583)+P3(x581,x582)+~P1(x583)+~P3(x581,f15(x583,x582))
% 2.00/2.05  [60]~P1(x602)+~P1(x603)+~P1(x601)+~P3(x601,x603)+E(x601,a1)+E(f16(f14(x602,x603),x601),f14(x602,f16(x603,x601)))
% 2.00/2.05  [41]~P1(x412)+~P1(x413)+~P1(x411)+~P5(x411,x412)+E(x411,x412)+P5(f14(x411,x413),f14(x412,x413))+E(x413,a1)
% 2.00/2.05  [43]~P1(x432)+~P1(x431)+~P1(x433)+~P5(x431,x432)+E(x431,x432)+P5(f14(x433,x431),f14(x433,x432))+E(x433,a1)
% 2.00/2.05  [53]~P1(x531)+~P1(x533)+~P1(x532)+~P3(x531,x533)+~E(x533,f14(x531,x532))+E(x531,a1)+E(x532,f16(x533,x531))
% 2.00/2.05  [74]~P1(x742)+~P1(x743)+~P1(x741)+~P2(x741)+P3(x741,x742)+P3(x741,x743)+~P3(x741,f14(x742,x743))+~P4(f15(f15(x742,x743),x741),f15(f15(a18,a19),a20))
% 2.00/2.05  [75]P3(x751,x752)+~P1(x752)+~P1(x751)+~P1(x753)+~P2(x751)+~P3(x751,f14(x752,x753))+E(f14(x751,f10(x752,x753,x751)),x753)+~P4(f15(f15(x752,x753),x751),f15(f15(a18,a19),a20))
% 2.00/2.05  [76]~P1(x761)+~P1(x763)+~P1(x762)+~P2(x761)+P3(x761,x762)+~P3(x761,f14(x762,x763))+P1(f10(x762,x763,x761))+~P4(f15(f15(x762,x763),x761),f15(f15(a18,a19),a20))
% 2.00/2.05  [77]P3(x771,x773)+~P1(x772)+~P1(x773)+~P1(x771)+~P2(x771)+~P3(x771,f14(x772,x773))+E(f14(x771,f11(x772,x773,x771)),x772)+~P4(f15(f15(x772,x773),x771),f15(f15(a18,a19),a20))
% 2.00/2.05  [78]~P1(x782)+~P1(x781)+~P1(x783)+~P2(x781)+~P3(x781,f14(x782,x783))+E(f14(x781,f10(x782,x783,x781)),x783)+~P4(f15(f15(x782,x783),x781),f15(f15(a18,a19),a20))+E(f14(x781,f11(x782,x783,x781)),x782)
% 2.00/2.05  [79]~P1(x791)+~P1(x793)+~P1(x792)+~P2(x791)+~P3(x791,f14(x792,x793))+P1(f10(x792,x793,x791))+~P4(f15(f15(x792,x793),x791),f15(f15(a18,a19),a20))+E(f14(x791,f11(x792,x793,x791)),x792)
% 2.00/2.05  [80]~P1(x803)+~P1(x802)+~P1(x801)+~P2(x801)+P3(x801,x802)+~P3(x801,f14(x803,x802))+P1(f11(x803,x802,x801))+~P4(f15(f15(x803,x802),x801),f15(f15(a18,a19),a20))
% 2.00/2.05  [81]~P1(x812)+~P1(x811)+~P1(x813)+~P2(x811)+~P3(x811,f14(x812,x813))+P1(f11(x812,x813,x811))+~P4(f15(f15(x812,x813),x811),f15(f15(a18,a19),a20))+E(f14(x811,f10(x812,x813,x811)),x813)
% 2.00/2.05  [82]~P1(x823)+~P1(x822)+~P1(x821)+~P2(x823)+~P3(x823,f14(x821,x822))+P1(f10(x821,x822,x823))+~P4(f15(f15(x821,x822),x823),f15(f15(a18,a19),a20))+P1(f11(x821,x822,x823))
% 2.00/2.05  [83]~P1(x834)+~P1(x832)+~P1(x833)+~P1(x831)+~P2(x831)+P3(x831,x832)+P3(x831,x833)+~E(f14(x831,x834),f14(x832,x833))+~P4(f15(f15(x832,x833),x831),f15(f15(a18,a19),a20))
% 2.00/2.05  [84]P3(x841,x842)+~P1(x844)+~P1(x842)+~P1(x841)+~P1(x843)+~P2(x841)+~E(f14(x841,x844),f14(x842,x843))+E(f14(x841,f10(x842,x843,x841)),x843)+~P4(f15(f15(x842,x843),x841),f15(f15(a18,a19),a20))
% 2.00/2.05  [85]~P1(x854)+~P1(x851)+~P1(x853)+~P1(x852)+~P2(x851)+P3(x851,x852)+~E(f14(x852,x853),f14(x851,x854))+P1(f10(x852,x853,x851))+~P4(f15(f15(x852,x853),x851),f15(f15(a18,a19),a20))
% 2.00/2.05  [86]P3(x861,x863)+~P1(x864)+~P1(x862)+~P1(x863)+~P1(x861)+~P2(x861)+~E(f14(x861,x864),f14(x862,x863))+E(f14(x861,f11(x862,x863,x861)),x862)+~P4(f15(f15(x862,x863),x861),f15(f15(a18,a19),a20))
% 2.00/2.05  [87]~P1(x874)+~P1(x872)+~P1(x871)+~P1(x873)+~P2(x871)+~E(f14(x871,x874),f14(x872,x873))+E(f14(x871,f10(x872,x873,x871)),x873)+~P4(f15(f15(x872,x873),x871),f15(f15(a18,a19),a20))+E(f14(x871,f11(x872,x873,x871)),x872)
% 2.00/2.05  [88]~P1(x884)+~P1(x881)+~P1(x883)+~P1(x882)+~P2(x881)+~E(f14(x882,x883),f14(x881,x884))+P1(f10(x882,x883,x881))+~P4(f15(f15(x882,x883),x881),f15(f15(a18,a19),a20))+E(f14(x881,f11(x882,x883,x881)),x882)
% 2.00/2.05  [89]~P1(x894)+~P1(x893)+~P1(x892)+~P1(x891)+~P2(x891)+P3(x891,x892)+~E(f14(x891,x894),f14(x893,x892))+P1(f11(x893,x892,x891))+~P4(f15(f15(x893,x892),x891),f15(f15(a18,a19),a20))
% 2.00/2.05  [90]~P1(x904)+~P1(x902)+~P1(x901)+~P1(x903)+~P2(x901)+~E(f14(x901,x904),f14(x902,x903))+P1(f11(x902,x903,x901))+~P4(f15(f15(x902,x903),x901),f15(f15(a18,a19),a20))+E(f14(x901,f10(x902,x903,x901)),x903)
% 2.00/2.05  [91]~P1(x914)+~P1(x913)+~P1(x912)+~P1(x911)+~P2(x913)+~E(f14(x911,x912),f14(x913,x914))+P1(f10(x911,x912,x913))+~P4(f15(f15(x911,x912),x913),f15(f15(a18,a19),a20))+P1(f11(x911,x912,x913))
% 2.00/2.05  [92]~P1(x922)+~P1(x923)+~P1(x921)+P3(x921,x922)+P3(x921,x923)+E(x921,a17)+~E(f9(x922,x923,x921),x921)+~P3(x921,f14(x922,x923))+E(x921,a1)+~P4(f15(f15(x922,x923),x921),f15(f15(a18,a19),a20))
% 2.00/2.05  [93]P3(x931,x932)+~P1(x932)+~P1(x931)+~P1(x933)+E(x931,a17)+~E(f9(x932,x933,x931),x931)+~P3(x931,f14(x932,x933))+E(x931,a1)+~P4(f15(f15(x932,x933),x931),f15(f15(a18,a19),a20))+E(f14(x931,f10(x932,x933,x931)),x933)
% 2.00/2.05  [94]~P1(x941)+~P1(x943)+~P1(x942)+P3(x941,x942)+E(x941,a17)+~E(f9(x942,x943,x941),x941)+~P3(x941,f14(x942,x943))+E(x941,a1)+~P4(f15(f15(x942,x943),x941),f15(f15(a18,a19),a20))+P1(f10(x942,x943,x941))
% 2.00/2.05  [95]P3(x951,x953)+~P1(x952)+~P1(x953)+~P1(x951)+E(x951,a17)+~E(f9(x952,x953,x951),x951)+~P3(x951,f14(x952,x953))+E(x951,a1)+~P4(f15(f15(x952,x953),x951),f15(f15(a18,a19),a20))+E(f14(x951,f11(x952,x953,x951)),x952)
% 2.00/2.05  [96]~P1(x962)+~P1(x961)+~P1(x963)+E(x961,a17)+~E(f9(x962,x963,x961),x961)+~P3(x961,f14(x962,x963))+E(x961,a1)+E(f14(x961,f10(x962,x963,x961)),x963)+~P4(f15(f15(x962,x963),x961),f15(f15(a18,a19),a20))+E(f14(x961,f11(x962,x963,x961)),x962)
% 2.00/2.05  [97]~P1(x971)+~P1(x973)+~P1(x972)+E(x971,a17)+~E(f9(x972,x973,x971),x971)+~P3(x971,f14(x972,x973))+E(x971,a1)+P1(f10(x972,x973,x971))+~P4(f15(f15(x972,x973),x971),f15(f15(a18,a19),a20))+E(f14(x971,f11(x972,x973,x971)),x972)
% 2.00/2.05  [98]~P1(x983)+~P1(x982)+~P1(x981)+P3(x981,x982)+E(x981,a17)+~E(f9(x983,x982,x981),x981)+~P3(x981,f14(x983,x982))+E(x981,a1)+~P4(f15(f15(x983,x982),x981),f15(f15(a18,a19),a20))+P1(f11(x983,x982,x981))
% 2.00/2.05  [99]~P1(x992)+~P1(x991)+~P1(x993)+E(x991,a17)+~E(f9(x992,x993,x991),x991)+~P3(x991,f14(x992,x993))+E(x991,a1)+P1(f11(x992,x993,x991))+~P4(f15(f15(x992,x993),x991),f15(f15(a18,a19),a20))+E(f14(x991,f10(x992,x993,x991)),x993)
% 2.00/2.05  [100]~P1(x1001)+~P1(x1003)+~P1(x1002)+E(x1001,a17)+~E(f9(x1002,x1003,x1001),x1001)+~P3(x1001,f14(x1002,x1003))+E(x1001,a1)+P1(f10(x1002,x1003,x1001))+~P4(f15(f15(x1002,x1003),x1001),f15(f15(a18,a19),a20))+P1(f11(x1002,x1003,x1001))
% 2.00/2.05  [110]~P1(x1102)+~P1(x1103)+~P1(x1101)+P3(x1101,x1102)+P3(x1101,x1103)+E(x1101,a17)+~P3(x1101,f14(x1102,x1103))+E(x1101,a1)+~E(f9(x1102,x1103,x1101),a17)+~P4(f15(f15(x1102,x1103),x1101),f15(f15(a18,a19),a20))
% 2.00/2.05  [111]P3(x1111,x1112)+~P1(x1112)+~P1(x1111)+~P1(x1113)+E(x1111,a17)+~P3(x1111,f14(x1112,x1113))+E(x1111,a1)+~E(f9(x1112,x1113,x1111),a17)+~P4(f15(f15(x1112,x1113),x1111),f15(f15(a18,a19),a20))+E(f14(x1111,f10(x1112,x1113,x1111)),x1113)
% 2.00/2.05  [112]~P1(x1121)+~P1(x1123)+~P1(x1122)+P3(x1121,x1122)+E(x1121,a17)+~P3(x1121,f14(x1122,x1123))+E(x1121,a1)+~E(f9(x1122,x1123,x1121),a17)+~P4(f15(f15(x1122,x1123),x1121),f15(f15(a18,a19),a20))+P1(f10(x1122,x1123,x1121))
% 2.00/2.05  [113]P3(x1131,x1133)+~P1(x1132)+~P1(x1133)+~P1(x1131)+E(x1131,a17)+~P3(x1131,f14(x1132,x1133))+E(x1131,a1)+~E(f9(x1132,x1133,x1131),a17)+~P4(f15(f15(x1132,x1133),x1131),f15(f15(a18,a19),a20))+E(f14(x1131,f11(x1132,x1133,x1131)),x1132)
% 2.00/2.05  [114]~P1(x1142)+~P1(x1141)+~P1(x1143)+E(x1141,a17)+~P3(x1141,f14(x1142,x1143))+E(x1141,a1)+E(f14(x1141,f10(x1142,x1143,x1141)),x1143)+~E(f9(x1142,x1143,x1141),a17)+~P4(f15(f15(x1142,x1143),x1141),f15(f15(a18,a19),a20))+E(f14(x1141,f11(x1142,x1143,x1141)),x1142)
% 2.00/2.05  [115]~P1(x1151)+~P1(x1153)+~P1(x1152)+E(x1151,a17)+~P3(x1151,f14(x1152,x1153))+E(x1151,a1)+P1(f10(x1152,x1153,x1151))+~E(f9(x1152,x1153,x1151),a17)+~P4(f15(f15(x1152,x1153),x1151),f15(f15(a18,a19),a20))+E(f14(x1151,f11(x1152,x1153,x1151)),x1152)
% 2.00/2.05  [116]~P1(x1163)+~P1(x1162)+~P1(x1161)+P3(x1161,x1162)+E(x1161,a17)+~P3(x1161,f14(x1163,x1162))+E(x1161,a1)+~E(f9(x1163,x1162,x1161),a17)+~P4(f15(f15(x1163,x1162),x1161),f15(f15(a18,a19),a20))+P1(f11(x1163,x1162,x1161))
% 2.00/2.05  [117]~P1(x1172)+~P1(x1171)+~P1(x1173)+E(x1171,a17)+~P3(x1171,f14(x1172,x1173))+E(x1171,a1)+P1(f11(x1172,x1173,x1171))+~E(f9(x1172,x1173,x1171),a17)+~P4(f15(f15(x1172,x1173),x1171),f15(f15(a18,a19),a20))+E(f14(x1171,f10(x1172,x1173,x1171)),x1173)
% 2.00/2.05  [118]~P1(x1181)+~P1(x1183)+~P1(x1182)+E(x1181,a17)+~P3(x1181,f14(x1182,x1183))+E(x1181,a1)+P1(f10(x1182,x1183,x1181))+~E(f9(x1182,x1183,x1181),a17)+~P4(f15(f15(x1182,x1183),x1181),f15(f15(a18,a19),a20))+P1(f11(x1182,x1183,x1181))
% 2.00/2.05  [128]~P1(x1282)+~P1(x1283)+~P1(x1281)+P3(x1281,x1282)+P3(x1281,x1283)+E(x1281,a17)+P3(f9(x1282,x1283,x1281),x1281)+~P3(x1281,f14(x1282,x1283))+E(x1281,a1)+~P4(f15(f15(x1282,x1283),x1281),f15(f15(a18,a19),a20))
% 2.00/2.05  [129]P3(x1291,x1292)+~P1(x1292)+~P1(x1291)+~P1(x1293)+E(x1291,a17)+P3(f9(x1292,x1293,x1291),x1291)+~P3(x1291,f14(x1292,x1293))+E(x1291,a1)+~P4(f15(f15(x1292,x1293),x1291),f15(f15(a18,a19),a20))+E(f14(x1291,f10(x1292,x1293,x1291)),x1293)
% 2.00/2.05  [130]~P1(x1301)+~P1(x1303)+~P1(x1302)+P3(x1301,x1302)+E(x1301,a17)+P3(f9(x1302,x1303,x1301),x1301)+~P3(x1301,f14(x1302,x1303))+E(x1301,a1)+~P4(f15(f15(x1302,x1303),x1301),f15(f15(a18,a19),a20))+P1(f10(x1302,x1303,x1301))
% 2.00/2.05  [131]P3(x1311,x1313)+~P1(x1312)+~P1(x1313)+~P1(x1311)+E(x1311,a17)+P3(f9(x1312,x1313,x1311),x1311)+~P3(x1311,f14(x1312,x1313))+E(x1311,a1)+~P4(f15(f15(x1312,x1313),x1311),f15(f15(a18,a19),a20))+E(f14(x1311,f11(x1312,x1313,x1311)),x1312)
% 2.00/2.05  [132]~P1(x1322)+~P1(x1321)+~P1(x1323)+E(x1321,a17)+P3(f9(x1322,x1323,x1321),x1321)+~P3(x1321,f14(x1322,x1323))+E(x1321,a1)+E(f14(x1321,f10(x1322,x1323,x1321)),x1323)+~P4(f15(f15(x1322,x1323),x1321),f15(f15(a18,a19),a20))+E(f14(x1321,f11(x1322,x1323,x1321)),x1322)
% 2.00/2.05  [133]~P1(x1331)+~P1(x1333)+~P1(x1332)+E(x1331,a17)+P3(f9(x1332,x1333,x1331),x1331)+~P3(x1331,f14(x1332,x1333))+E(x1331,a1)+P1(f10(x1332,x1333,x1331))+~P4(f15(f15(x1332,x1333),x1331),f15(f15(a18,a19),a20))+E(f14(x1331,f11(x1332,x1333,x1331)),x1332)
% 2.00/2.05  [134]~P1(x1343)+~P1(x1342)+~P1(x1341)+P3(x1341,x1342)+E(x1341,a17)+P3(f9(x1343,x1342,x1341),x1341)+~P3(x1341,f14(x1343,x1342))+E(x1341,a1)+~P4(f15(f15(x1343,x1342),x1341),f15(f15(a18,a19),a20))+P1(f11(x1343,x1342,x1341))
% 2.00/2.05  [135]~P1(x1352)+~P1(x1351)+~P1(x1353)+E(x1351,a17)+P3(f9(x1352,x1353,x1351),x1351)+~P3(x1351,f14(x1352,x1353))+E(x1351,a1)+P1(f11(x1352,x1353,x1351))+~P4(f15(f15(x1352,x1353),x1351),f15(f15(a18,a19),a20))+E(f14(x1351,f10(x1352,x1353,x1351)),x1353)
% 2.00/2.05  [136]~P1(x1361)+~P1(x1363)+~P1(x1362)+E(x1361,a17)+P3(f9(x1362,x1363,x1361),x1361)+~P3(x1361,f14(x1362,x1363))+E(x1361,a1)+P1(f10(x1362,x1363,x1361))+~P4(f15(f15(x1362,x1363),x1361),f15(f15(a18,a19),a20))+P1(f11(x1362,x1363,x1361))
% 2.00/2.05  [146]P3(x1461,x1462)+P3(x1461,x1463)+~P1(x1462)+~P1(x1463)+~P1(x1461)+E(x1461,a17)+~P3(x1461,f14(x1462,x1463))+E(x1461,a1)+~P4(f15(f15(x1462,x1463),x1461),f15(f15(a18,a19),a20))+E(f14(f9(x1462,x1463,x1461),f12(x1462,x1463,x1461)),x1461)
% 2.00/2.05  [147]P3(x1471,x1472)+~P1(x1472)+~P1(x1471)+~P1(x1473)+E(x1471,a17)+~P3(x1471,f14(x1472,x1473))+E(x1471,a1)+E(f14(f9(x1472,x1473,x1471),f12(x1472,x1473,x1471)),x1471)+~P4(f15(f15(x1472,x1473),x1471),f15(f15(a18,a19),a20))+E(f14(x1471,f10(x1472,x1473,x1471)),x1473)
% 2.00/2.05  [148]P3(x1481,x1482)+~P1(x1481)+~P1(x1483)+~P1(x1482)+E(x1481,a17)+~P3(x1481,f14(x1482,x1483))+E(x1481,a1)+P1(f10(x1482,x1483,x1481))+~P4(f15(f15(x1482,x1483),x1481),f15(f15(a18,a19),a20))+E(f14(f9(x1482,x1483,x1481),f12(x1482,x1483,x1481)),x1481)
% 2.00/2.05  [149]P3(x1491,x1493)+~P1(x1492)+~P1(x1493)+~P1(x1491)+E(x1491,a17)+~P3(x1491,f14(x1492,x1493))+E(x1491,a1)+E(f14(f9(x1492,x1493,x1491),f12(x1492,x1493,x1491)),x1491)+~P4(f15(f15(x1492,x1493),x1491),f15(f15(a18,a19),a20))+E(f14(x1491,f11(x1492,x1493,x1491)),x1492)
% 2.00/2.05  [150]~P1(x1502)+~P1(x1501)+~P1(x1503)+E(x1501,a17)+~P3(x1501,f14(x1502,x1503))+E(x1501,a1)+E(f14(x1501,f10(x1502,x1503,x1501)),x1503)+E(f14(f9(x1502,x1503,x1501),f12(x1502,x1503,x1501)),x1501)+~P4(f15(f15(x1502,x1503),x1501),f15(f15(a18,a19),a20))+E(f14(x1501,f11(x1502,x1503,x1501)),x1502)
% 2.00/2.05  [151]~P1(x1511)+~P1(x1513)+~P1(x1512)+E(x1511,a17)+~P3(x1511,f14(x1512,x1513))+E(x1511,a1)+E(f14(f9(x1512,x1513,x1511),f12(x1512,x1513,x1511)),x1511)+P1(f10(x1512,x1513,x1511))+~P4(f15(f15(x1512,x1513),x1511),f15(f15(a18,a19),a20))+E(f14(x1511,f11(x1512,x1513,x1511)),x1512)
% 2.00/2.05  [152]P3(x1521,x1523)+~P1(x1522)+~P1(x1523)+~P1(x1521)+E(x1521,a17)+~P3(x1521,f14(x1522,x1523))+E(x1521,a1)+P1(f11(x1522,x1523,x1521))+~P4(f15(f15(x1522,x1523),x1521),f15(f15(a18,a19),a20))+E(f14(f9(x1522,x1523,x1521),f12(x1522,x1523,x1521)),x1521)
% 2.00/2.05  [153]~P1(x1532)+~P1(x1531)+~P1(x1533)+E(x1531,a17)+~P3(x1531,f14(x1532,x1533))+E(x1531,a1)+E(f14(f9(x1532,x1533,x1531),f12(x1532,x1533,x1531)),x1531)+P1(f11(x1532,x1533,x1531))+~P4(f15(f15(x1532,x1533),x1531),f15(f15(a18,a19),a20))+E(f14(x1531,f10(x1532,x1533,x1531)),x1533)
% 2.00/2.05  [154]~P1(x1541)+~P1(x1543)+~P1(x1542)+E(x1541,a17)+~P3(x1541,f14(x1542,x1543))+E(x1541,a1)+P1(f11(x1542,x1543,x1541))+P1(f10(x1542,x1543,x1541))+~P4(f15(f15(x1542,x1543),x1541),f15(f15(a18,a19),a20))+E(f14(f9(x1542,x1543,x1541),f12(x1542,x1543,x1541)),x1541)
% 2.00/2.05  [164]~P1(x1642)+~P1(x1643)+~P1(x1641)+P3(x1641,x1642)+P3(x1641,x1643)+E(x1641,a17)+~P3(x1641,f14(x1642,x1643))+E(x1641,a1)+P1(f12(x1642,x1643,x1641))+~P4(f15(f15(x1642,x1643),x1641),f15(f15(a18,a19),a20))
% 2.00/2.05  [165]P3(x1651,x1652)+~P1(x1652)+~P1(x1651)+~P1(x1653)+E(x1651,a17)+~P3(x1651,f14(x1652,x1653))+E(x1651,a1)+P1(f12(x1652,x1653,x1651))+~P4(f15(f15(x1652,x1653),x1651),f15(f15(a18,a19),a20))+E(f14(x1651,f10(x1652,x1653,x1651)),x1653)
% 2.00/2.05  [166]~P1(x1661)+~P1(x1663)+~P1(x1662)+P3(x1661,x1662)+E(x1661,a17)+~P3(x1661,f14(x1662,x1663))+E(x1661,a1)+P1(f10(x1662,x1663,x1661))+~P4(f15(f15(x1662,x1663),x1661),f15(f15(a18,a19),a20))+P1(f12(x1662,x1663,x1661))
% 2.00/2.05  [167]P3(x1671,x1673)+~P1(x1672)+~P1(x1673)+~P1(x1671)+E(x1671,a17)+~P3(x1671,f14(x1672,x1673))+E(x1671,a1)+P1(f12(x1672,x1673,x1671))+~P4(f15(f15(x1672,x1673),x1671),f15(f15(a18,a19),a20))+E(f14(x1671,f11(x1672,x1673,x1671)),x1672)
% 2.00/2.05  [168]~P1(x1682)+~P1(x1681)+~P1(x1683)+E(x1681,a17)+~P3(x1681,f14(x1682,x1683))+E(x1681,a1)+E(f14(x1681,f10(x1682,x1683,x1681)),x1683)+P1(f12(x1682,x1683,x1681))+~P4(f15(f15(x1682,x1683),x1681),f15(f15(a18,a19),a20))+E(f14(x1681,f11(x1682,x1683,x1681)),x1682)
% 2.00/2.05  [169]~P1(x1691)+~P1(x1693)+~P1(x1692)+E(x1691,a17)+~P3(x1691,f14(x1692,x1693))+E(x1691,a1)+P1(f12(x1692,x1693,x1691))+P1(f10(x1692,x1693,x1691))+~P4(f15(f15(x1692,x1693),x1691),f15(f15(a18,a19),a20))+E(f14(x1691,f11(x1692,x1693,x1691)),x1692)
% 2.00/2.05  [170]~P1(x1703)+~P1(x1702)+~P1(x1701)+P3(x1701,x1702)+E(x1701,a17)+~P3(x1701,f14(x1703,x1702))+E(x1701,a1)+P1(f11(x1703,x1702,x1701))+~P4(f15(f15(x1703,x1702),x1701),f15(f15(a18,a19),a20))+P1(f12(x1703,x1702,x1701))
% 2.00/2.05  [171]~P1(x1712)+~P1(x1711)+~P1(x1713)+E(x1711,a17)+~P3(x1711,f14(x1712,x1713))+E(x1711,a1)+P1(f12(x1712,x1713,x1711))+P1(f11(x1712,x1713,x1711))+~P4(f15(f15(x1712,x1713),x1711),f15(f15(a18,a19),a20))+E(f14(x1711,f10(x1712,x1713,x1711)),x1713)
% 2.00/2.05  [172]~P1(x1721)+~P1(x1723)+~P1(x1722)+E(x1721,a17)+~P3(x1721,f14(x1722,x1723))+E(x1721,a1)+P1(f11(x1722,x1723,x1721))+P1(f10(x1722,x1723,x1721))+~P4(f15(f15(x1722,x1723),x1721),f15(f15(a18,a19),a20))+P1(f12(x1722,x1723,x1721))
% 2.00/2.05  [182]~P1(x1822)+~P1(x1823)+~P1(x1821)+P3(x1821,x1822)+P3(x1821,x1823)+E(x1821,a17)+~P3(x1821,f14(x1822,x1823))+E(x1821,a1)+P1(f9(x1822,x1823,x1821))+~P4(f15(f15(x1822,x1823),x1821),f15(f15(a18,a19),a20))
% 2.00/2.05  [183]P3(x1831,x1832)+~P1(x1832)+~P1(x1831)+~P1(x1833)+E(x1831,a17)+~P3(x1831,f14(x1832,x1833))+E(x1831,a1)+P1(f9(x1832,x1833,x1831))+~P4(f15(f15(x1832,x1833),x1831),f15(f15(a18,a19),a20))+E(f14(x1831,f10(x1832,x1833,x1831)),x1833)
% 2.00/2.05  [184]~P1(x1841)+~P1(x1843)+~P1(x1842)+P3(x1841,x1842)+E(x1841,a17)+~P3(x1841,f14(x1842,x1843))+E(x1841,a1)+P1(f10(x1842,x1843,x1841))+~P4(f15(f15(x1842,x1843),x1841),f15(f15(a18,a19),a20))+P1(f9(x1842,x1843,x1841))
% 2.00/2.05  [185]P3(x1851,x1853)+~P1(x1852)+~P1(x1853)+~P1(x1851)+E(x1851,a17)+~P3(x1851,f14(x1852,x1853))+E(x1851,a1)+P1(f9(x1852,x1853,x1851))+~P4(f15(f15(x1852,x1853),x1851),f15(f15(a18,a19),a20))+E(f14(x1851,f11(x1852,x1853,x1851)),x1852)
% 2.00/2.05  [186]~P1(x1862)+~P1(x1861)+~P1(x1863)+E(x1861,a17)+~P3(x1861,f14(x1862,x1863))+E(x1861,a1)+E(f14(x1861,f10(x1862,x1863,x1861)),x1863)+P1(f9(x1862,x1863,x1861))+~P4(f15(f15(x1862,x1863),x1861),f15(f15(a18,a19),a20))+E(f14(x1861,f11(x1862,x1863,x1861)),x1862)
% 2.00/2.05  [187]~P1(x1871)+~P1(x1873)+~P1(x1872)+E(x1871,a17)+~P3(x1871,f14(x1872,x1873))+E(x1871,a1)+P1(f9(x1872,x1873,x1871))+P1(f10(x1872,x1873,x1871))+~P4(f15(f15(x1872,x1873),x1871),f15(f15(a18,a19),a20))+E(f14(x1871,f11(x1872,x1873,x1871)),x1872)
% 2.00/2.05  [188]~P1(x1883)+~P1(x1882)+~P1(x1881)+P3(x1881,x1882)+E(x1881,a17)+~P3(x1881,f14(x1883,x1882))+E(x1881,a1)+P1(f11(x1883,x1882,x1881))+~P4(f15(f15(x1883,x1882),x1881),f15(f15(a18,a19),a20))+P1(f9(x1883,x1882,x1881))
% 2.00/2.05  [189]~P1(x1892)+~P1(x1891)+~P1(x1893)+E(x1891,a17)+~P3(x1891,f14(x1892,x1893))+E(x1891,a1)+P1(f9(x1892,x1893,x1891))+P1(f11(x1892,x1893,x1891))+~P4(f15(f15(x1892,x1893),x1891),f15(f15(a18,a19),a20))+E(f14(x1891,f10(x1892,x1893,x1891)),x1893)
% 2.00/2.05  [190]~P1(x1901)+~P1(x1903)+~P1(x1902)+E(x1901,a17)+~P3(x1901,f14(x1902,x1903))+E(x1901,a1)+P1(f11(x1902,x1903,x1901))+P1(f10(x1902,x1903,x1901))+~P4(f15(f15(x1902,x1903),x1901),f15(f15(a18,a19),a20))+P1(f9(x1902,x1903,x1901))
% 2.00/2.05  [101]~P1(x1014)+~P1(x1012)+~P1(x1013)+~P1(x1011)+P3(x1011,x1012)+P3(x1011,x1013)+E(x1011,a17)+~E(f9(x1012,x1013,x1011),x1011)+E(x1011,a1)+~E(f14(x1011,x1014),f14(x1012,x1013))+~P4(f15(f15(x1012,x1013),x1011),f15(f15(a18,a19),a20))
% 2.00/2.05  [102]P3(x1021,x1022)+~P1(x1024)+~P1(x1022)+~P1(x1021)+~P1(x1023)+E(x1021,a17)+~E(f9(x1022,x1023,x1021),x1021)+E(x1021,a1)+~E(f14(x1021,x1024),f14(x1022,x1023))+~P4(f15(f15(x1022,x1023),x1021),f15(f15(a18,a19),a20))+E(f14(x1021,f10(x1022,x1023,x1021)),x1023)
% 2.00/2.05  [103]~P1(x1034)+~P1(x1031)+~P1(x1033)+~P1(x1032)+P3(x1031,x1032)+E(x1031,a17)+~E(f9(x1032,x1033,x1031),x1031)+E(x1031,a1)+~E(f14(x1032,x1033),f14(x1031,x1034))+~P4(f15(f15(x1032,x1033),x1031),f15(f15(a18,a19),a20))+P1(f10(x1032,x1033,x1031))
% 2.00/2.05  [104]P3(x1041,x1043)+~P1(x1044)+~P1(x1042)+~P1(x1043)+~P1(x1041)+E(x1041,a17)+~E(f9(x1042,x1043,x1041),x1041)+E(x1041,a1)+~E(f14(x1041,x1044),f14(x1042,x1043))+~P4(f15(f15(x1042,x1043),x1041),f15(f15(a18,a19),a20))+E(f14(x1041,f11(x1042,x1043,x1041)),x1042)
% 2.00/2.05  [105]~P1(x1054)+~P1(x1052)+~P1(x1051)+~P1(x1053)+E(x1051,a17)+~E(f9(x1052,x1053,x1051),x1051)+E(x1051,a1)+~E(f14(x1051,x1054),f14(x1052,x1053))+E(f14(x1051,f10(x1052,x1053,x1051)),x1053)+~P4(f15(f15(x1052,x1053),x1051),f15(f15(a18,a19),a20))+E(f14(x1051,f11(x1052,x1053,x1051)),x1052)
% 2.00/2.05  [106]~P1(x1064)+~P1(x1061)+~P1(x1063)+~P1(x1062)+E(x1061,a17)+~E(f9(x1062,x1063,x1061),x1061)+E(x1061,a1)+~E(f14(x1062,x1063),f14(x1061,x1064))+P1(f10(x1062,x1063,x1061))+~P4(f15(f15(x1062,x1063),x1061),f15(f15(a18,a19),a20))+E(f14(x1061,f11(x1062,x1063,x1061)),x1062)
% 2.00/2.05  [107]~P1(x1074)+~P1(x1073)+~P1(x1072)+~P1(x1071)+P3(x1071,x1072)+E(x1071,a17)+~E(f9(x1073,x1072,x1071),x1071)+E(x1071,a1)+~E(f14(x1071,x1074),f14(x1073,x1072))+~P4(f15(f15(x1073,x1072),x1071),f15(f15(a18,a19),a20))+P1(f11(x1073,x1072,x1071))
% 2.00/2.05  [108]~P1(x1084)+~P1(x1082)+~P1(x1081)+~P1(x1083)+E(x1081,a17)+~E(f9(x1082,x1083,x1081),x1081)+E(x1081,a1)+~E(f14(x1081,x1084),f14(x1082,x1083))+P1(f11(x1082,x1083,x1081))+~P4(f15(f15(x1082,x1083),x1081),f15(f15(a18,a19),a20))+E(f14(x1081,f10(x1082,x1083,x1081)),x1083)
% 2.00/2.05  [109]~P1(x1094)+~P1(x1091)+~P1(x1093)+~P1(x1092)+E(x1091,a17)+~E(f9(x1092,x1093,x1091),x1091)+E(x1091,a1)+~E(f14(x1092,x1093),f14(x1091,x1094))+P1(f10(x1092,x1093,x1091))+~P4(f15(f15(x1092,x1093),x1091),f15(f15(a18,a19),a20))+P1(f11(x1092,x1093,x1091))
% 2.00/2.05  [119]~P1(x1194)+~P1(x1192)+~P1(x1193)+~P1(x1191)+P3(x1191,x1192)+P3(x1191,x1193)+E(x1191,a17)+E(x1191,a1)+~E(f14(x1191,x1194),f14(x1192,x1193))+~E(f9(x1192,x1193,x1191),a17)+~P4(f15(f15(x1192,x1193),x1191),f15(f15(a18,a19),a20))
% 2.00/2.05  [120]P3(x1201,x1202)+~P1(x1204)+~P1(x1202)+~P1(x1201)+~P1(x1203)+E(x1201,a17)+E(x1201,a1)+~E(f14(x1201,x1204),f14(x1202,x1203))+~E(f9(x1202,x1203,x1201),a17)+~P4(f15(f15(x1202,x1203),x1201),f15(f15(a18,a19),a20))+E(f14(x1201,f10(x1202,x1203,x1201)),x1203)
% 2.00/2.05  [121]~P1(x1214)+~P1(x1211)+~P1(x1213)+~P1(x1212)+P3(x1211,x1212)+E(x1211,a17)+E(x1211,a1)+~E(f14(x1212,x1213),f14(x1211,x1214))+~E(f9(x1212,x1213,x1211),a17)+P1(f10(x1212,x1213,x1211))+~P4(f15(f15(x1212,x1213),x1211),f15(f15(a18,a19),a20))
% 2.00/2.05  [122]P3(x1221,x1223)+~P1(x1224)+~P1(x1222)+~P1(x1223)+~P1(x1221)+E(x1221,a17)+E(x1221,a1)+~E(f14(x1221,x1224),f14(x1222,x1223))+~E(f9(x1222,x1223,x1221),a17)+~P4(f15(f15(x1222,x1223),x1221),f15(f15(a18,a19),a20))+E(f14(x1221,f11(x1222,x1223,x1221)),x1222)
% 2.00/2.05  [123]~P1(x1234)+~P1(x1232)+~P1(x1231)+~P1(x1233)+E(x1231,a17)+E(x1231,a1)+~E(f14(x1231,x1234),f14(x1232,x1233))+E(f14(x1231,f10(x1232,x1233,x1231)),x1233)+~E(f9(x1232,x1233,x1231),a17)+~P4(f15(f15(x1232,x1233),x1231),f15(f15(a18,a19),a20))+E(f14(x1231,f11(x1232,x1233,x1231)),x1232)
% 2.00/2.05  [124]~P1(x1244)+~P1(x1241)+~P1(x1243)+~P1(x1242)+E(x1241,a17)+E(x1241,a1)+~E(f14(x1242,x1243),f14(x1241,x1244))+P1(f10(x1242,x1243,x1241))+~E(f9(x1242,x1243,x1241),a17)+~P4(f15(f15(x1242,x1243),x1241),f15(f15(a18,a19),a20))+E(f14(x1241,f11(x1242,x1243,x1241)),x1242)
% 2.00/2.05  [125]~P1(x1254)+~P1(x1253)+~P1(x1252)+~P1(x1251)+P3(x1251,x1252)+E(x1251,a17)+E(x1251,a1)+~E(f14(x1251,x1254),f14(x1253,x1252))+~E(f9(x1253,x1252,x1251),a17)+P1(f11(x1253,x1252,x1251))+~P4(f15(f15(x1253,x1252),x1251),f15(f15(a18,a19),a20))
% 2.00/2.05  [126]~P1(x1264)+~P1(x1262)+~P1(x1261)+~P1(x1263)+E(x1261,a17)+E(x1261,a1)+~E(f14(x1261,x1264),f14(x1262,x1263))+P1(f11(x1262,x1263,x1261))+~E(f9(x1262,x1263,x1261),a17)+~P4(f15(f15(x1262,x1263),x1261),f15(f15(a18,a19),a20))+E(f14(x1261,f10(x1262,x1263,x1261)),x1263)
% 2.00/2.06  [127]~P1(x1274)+~P1(x1271)+~P1(x1273)+~P1(x1272)+E(x1271,a17)+E(x1271,a1)+~E(f14(x1272,x1273),f14(x1271,x1274))+P1(f10(x1272,x1273,x1271))+~E(f9(x1272,x1273,x1271),a17)+~P4(f15(f15(x1272,x1273),x1271),f15(f15(a18,a19),a20))+P1(f11(x1272,x1273,x1271))
% 2.00/2.06  [137]~P1(x1374)+~P1(x1372)+~P1(x1373)+~P1(x1371)+P3(x1371,x1372)+P3(x1371,x1373)+E(x1371,a17)+P3(f9(x1372,x1373,x1371),x1371)+E(x1371,a1)+~E(f14(x1371,x1374),f14(x1372,x1373))+~P4(f15(f15(x1372,x1373),x1371),f15(f15(a18,a19),a20))
% 2.00/2.06  [138]P3(x1381,x1382)+~P1(x1384)+~P1(x1382)+~P1(x1381)+~P1(x1383)+E(x1381,a17)+P3(f9(x1382,x1383,x1381),x1381)+E(x1381,a1)+~E(f14(x1381,x1384),f14(x1382,x1383))+~P4(f15(f15(x1382,x1383),x1381),f15(f15(a18,a19),a20))+E(f14(x1381,f10(x1382,x1383,x1381)),x1383)
% 2.00/2.06  [139]~P1(x1394)+~P1(x1391)+~P1(x1393)+~P1(x1392)+P3(x1391,x1392)+E(x1391,a17)+P3(f9(x1392,x1393,x1391),x1391)+E(x1391,a1)+~E(f14(x1392,x1393),f14(x1391,x1394))+~P4(f15(f15(x1392,x1393),x1391),f15(f15(a18,a19),a20))+P1(f10(x1392,x1393,x1391))
% 2.00/2.06  [140]P3(x1401,x1403)+~P1(x1404)+~P1(x1402)+~P1(x1403)+~P1(x1401)+E(x1401,a17)+P3(f9(x1402,x1403,x1401),x1401)+E(x1401,a1)+~E(f14(x1401,x1404),f14(x1402,x1403))+~P4(f15(f15(x1402,x1403),x1401),f15(f15(a18,a19),a20))+E(f14(x1401,f11(x1402,x1403,x1401)),x1402)
% 2.00/2.06  [141]~P1(x1414)+~P1(x1412)+~P1(x1411)+~P1(x1413)+E(x1411,a17)+P3(f9(x1412,x1413,x1411),x1411)+E(x1411,a1)+~E(f14(x1411,x1414),f14(x1412,x1413))+E(f14(x1411,f10(x1412,x1413,x1411)),x1413)+~P4(f15(f15(x1412,x1413),x1411),f15(f15(a18,a19),a20))+E(f14(x1411,f11(x1412,x1413,x1411)),x1412)
% 2.00/2.06  [142]~P1(x1424)+~P1(x1421)+~P1(x1423)+~P1(x1422)+E(x1421,a17)+P3(f9(x1422,x1423,x1421),x1421)+E(x1421,a1)+~E(f14(x1422,x1423),f14(x1421,x1424))+P1(f10(x1422,x1423,x1421))+~P4(f15(f15(x1422,x1423),x1421),f15(f15(a18,a19),a20))+E(f14(x1421,f11(x1422,x1423,x1421)),x1422)
% 2.00/2.06  [143]~P1(x1434)+~P1(x1433)+~P1(x1432)+~P1(x1431)+P3(x1431,x1432)+E(x1431,a17)+P3(f9(x1433,x1432,x1431),x1431)+E(x1431,a1)+~E(f14(x1431,x1434),f14(x1433,x1432))+~P4(f15(f15(x1433,x1432),x1431),f15(f15(a18,a19),a20))+P1(f11(x1433,x1432,x1431))
% 2.00/2.06  [144]~P1(x1444)+~P1(x1442)+~P1(x1441)+~P1(x1443)+E(x1441,a17)+P3(f9(x1442,x1443,x1441),x1441)+E(x1441,a1)+~E(f14(x1441,x1444),f14(x1442,x1443))+P1(f11(x1442,x1443,x1441))+~P4(f15(f15(x1442,x1443),x1441),f15(f15(a18,a19),a20))+E(f14(x1441,f10(x1442,x1443,x1441)),x1443)
% 2.00/2.06  [145]~P1(x1454)+~P1(x1451)+~P1(x1453)+~P1(x1452)+E(x1451,a17)+P3(f9(x1452,x1453,x1451),x1451)+E(x1451,a1)+~E(f14(x1452,x1453),f14(x1451,x1454))+P1(f10(x1452,x1453,x1451))+~P4(f15(f15(x1452,x1453),x1451),f15(f15(a18,a19),a20))+P1(f11(x1452,x1453,x1451))
% 2.00/2.06  [155]P3(x1551,x1552)+P3(x1551,x1553)+~P1(x1554)+~P1(x1552)+~P1(x1553)+~P1(x1551)+E(x1551,a17)+E(x1551,a1)+~E(f14(x1551,x1554),f14(x1552,x1553))+~P4(f15(f15(x1552,x1553),x1551),f15(f15(a18,a19),a20))+E(f14(f9(x1552,x1553,x1551),f12(x1552,x1553,x1551)),x1551)
% 2.00/2.06  [156]P3(x1561,x1562)+~P1(x1564)+~P1(x1562)+~P1(x1561)+~P1(x1563)+E(x1561,a17)+E(x1561,a1)+~E(f14(x1561,x1564),f14(x1562,x1563))+E(f14(f9(x1562,x1563,x1561),f12(x1562,x1563,x1561)),x1561)+~P4(f15(f15(x1562,x1563),x1561),f15(f15(a18,a19),a20))+E(f14(x1561,f10(x1562,x1563,x1561)),x1563)
% 2.00/2.06  [157]P3(x1571,x1572)+~P1(x1574)+~P1(x1571)+~P1(x1573)+~P1(x1572)+E(x1571,a17)+E(x1571,a1)+~E(f14(x1572,x1573),f14(x1571,x1574))+P1(f10(x1572,x1573,x1571))+~P4(f15(f15(x1572,x1573),x1571),f15(f15(a18,a19),a20))+E(f14(f9(x1572,x1573,x1571),f12(x1572,x1573,x1571)),x1571)
% 2.00/2.06  [158]P3(x1581,x1583)+~P1(x1584)+~P1(x1582)+~P1(x1583)+~P1(x1581)+E(x1581,a17)+E(x1581,a1)+~E(f14(x1581,x1584),f14(x1582,x1583))+E(f14(f9(x1582,x1583,x1581),f12(x1582,x1583,x1581)),x1581)+~P4(f15(f15(x1582,x1583),x1581),f15(f15(a18,a19),a20))+E(f14(x1581,f11(x1582,x1583,x1581)),x1582)
% 2.00/2.06  [159]~P1(x1594)+~P1(x1592)+~P1(x1591)+~P1(x1593)+E(x1591,a17)+E(x1591,a1)+~E(f14(x1591,x1594),f14(x1592,x1593))+E(f14(x1591,f10(x1592,x1593,x1591)),x1593)+E(f14(f9(x1592,x1593,x1591),f12(x1592,x1593,x1591)),x1591)+~P4(f15(f15(x1592,x1593),x1591),f15(f15(a18,a19),a20))+E(f14(x1591,f11(x1592,x1593,x1591)),x1592)
% 2.00/2.06  [160]~P1(x1604)+~P1(x1601)+~P1(x1603)+~P1(x1602)+E(x1601,a17)+E(x1601,a1)+~E(f14(x1602,x1603),f14(x1601,x1604))+E(f14(f9(x1602,x1603,x1601),f12(x1602,x1603,x1601)),x1601)+P1(f10(x1602,x1603,x1601))+~P4(f15(f15(x1602,x1603),x1601),f15(f15(a18,a19),a20))+E(f14(x1601,f11(x1602,x1603,x1601)),x1602)
% 2.00/2.06  [161]P3(x1611,x1613)+~P1(x1614)+~P1(x1612)+~P1(x1613)+~P1(x1611)+E(x1611,a17)+E(x1611,a1)+~E(f14(x1611,x1614),f14(x1612,x1613))+P1(f11(x1612,x1613,x1611))+~P4(f15(f15(x1612,x1613),x1611),f15(f15(a18,a19),a20))+E(f14(f9(x1612,x1613,x1611),f12(x1612,x1613,x1611)),x1611)
% 2.00/2.06  [162]~P1(x1624)+~P1(x1622)+~P1(x1621)+~P1(x1623)+E(x1621,a17)+E(x1621,a1)+~E(f14(x1621,x1624),f14(x1622,x1623))+E(f14(f9(x1622,x1623,x1621),f12(x1622,x1623,x1621)),x1621)+P1(f11(x1622,x1623,x1621))+~P4(f15(f15(x1622,x1623),x1621),f15(f15(a18,a19),a20))+E(f14(x1621,f10(x1622,x1623,x1621)),x1623)
% 2.00/2.06  [163]~P1(x1634)+~P1(x1631)+~P1(x1633)+~P1(x1632)+E(x1631,a17)+E(x1631,a1)+~E(f14(x1632,x1633),f14(x1631,x1634))+P1(f11(x1632,x1633,x1631))+P1(f10(x1632,x1633,x1631))+~P4(f15(f15(x1632,x1633),x1631),f15(f15(a18,a19),a20))+E(f14(f9(x1632,x1633,x1631),f12(x1632,x1633,x1631)),x1631)
% 2.00/2.06  [173]~P1(x1734)+~P1(x1732)+~P1(x1733)+~P1(x1731)+P3(x1731,x1732)+P3(x1731,x1733)+E(x1731,a17)+E(x1731,a1)+~E(f14(x1731,x1734),f14(x1732,x1733))+P1(f12(x1732,x1733,x1731))+~P4(f15(f15(x1732,x1733),x1731),f15(f15(a18,a19),a20))
% 2.00/2.06  [174]P3(x1741,x1742)+~P1(x1744)+~P1(x1742)+~P1(x1741)+~P1(x1743)+E(x1741,a17)+E(x1741,a1)+~E(f14(x1741,x1744),f14(x1742,x1743))+P1(f12(x1742,x1743,x1741))+~P4(f15(f15(x1742,x1743),x1741),f15(f15(a18,a19),a20))+E(f14(x1741,f10(x1742,x1743,x1741)),x1743)
% 2.00/2.06  [175]~P1(x1754)+~P1(x1751)+~P1(x1753)+~P1(x1752)+P3(x1751,x1752)+E(x1751,a17)+E(x1751,a1)+~E(f14(x1752,x1753),f14(x1751,x1754))+P1(f10(x1752,x1753,x1751))+~P4(f15(f15(x1752,x1753),x1751),f15(f15(a18,a19),a20))+P1(f12(x1752,x1753,x1751))
% 2.00/2.06  [176]P3(x1761,x1763)+~P1(x1764)+~P1(x1762)+~P1(x1763)+~P1(x1761)+E(x1761,a17)+E(x1761,a1)+~E(f14(x1761,x1764),f14(x1762,x1763))+P1(f12(x1762,x1763,x1761))+~P4(f15(f15(x1762,x1763),x1761),f15(f15(a18,a19),a20))+E(f14(x1761,f11(x1762,x1763,x1761)),x1762)
% 2.00/2.06  [177]~P1(x1774)+~P1(x1772)+~P1(x1771)+~P1(x1773)+E(x1771,a17)+E(x1771,a1)+~E(f14(x1771,x1774),f14(x1772,x1773))+E(f14(x1771,f10(x1772,x1773,x1771)),x1773)+P1(f12(x1772,x1773,x1771))+~P4(f15(f15(x1772,x1773),x1771),f15(f15(a18,a19),a20))+E(f14(x1771,f11(x1772,x1773,x1771)),x1772)
% 2.00/2.06  [178]~P1(x1784)+~P1(x1781)+~P1(x1783)+~P1(x1782)+E(x1781,a17)+E(x1781,a1)+~E(f14(x1782,x1783),f14(x1781,x1784))+P1(f12(x1782,x1783,x1781))+P1(f10(x1782,x1783,x1781))+~P4(f15(f15(x1782,x1783),x1781),f15(f15(a18,a19),a20))+E(f14(x1781,f11(x1782,x1783,x1781)),x1782)
% 2.00/2.06  [179]~P1(x1794)+~P1(x1793)+~P1(x1792)+~P1(x1791)+P3(x1791,x1792)+E(x1791,a17)+E(x1791,a1)+~E(f14(x1791,x1794),f14(x1793,x1792))+P1(f11(x1793,x1792,x1791))+~P4(f15(f15(x1793,x1792),x1791),f15(f15(a18,a19),a20))+P1(f12(x1793,x1792,x1791))
% 2.00/2.06  [180]~P1(x1804)+~P1(x1802)+~P1(x1801)+~P1(x1803)+E(x1801,a17)+E(x1801,a1)+~E(f14(x1801,x1804),f14(x1802,x1803))+P1(f12(x1802,x1803,x1801))+P1(f11(x1802,x1803,x1801))+~P4(f15(f15(x1802,x1803),x1801),f15(f15(a18,a19),a20))+E(f14(x1801,f10(x1802,x1803,x1801)),x1803)
% 2.00/2.06  [181]~P1(x1814)+~P1(x1811)+~P1(x1813)+~P1(x1812)+E(x1811,a17)+E(x1811,a1)+~E(f14(x1812,x1813),f14(x1811,x1814))+P1(f11(x1812,x1813,x1811))+P1(f10(x1812,x1813,x1811))+~P4(f15(f15(x1812,x1813),x1811),f15(f15(a18,a19),a20))+P1(f12(x1812,x1813,x1811))
% 2.00/2.06  [191]~P1(x1914)+~P1(x1912)+~P1(x1913)+~P1(x1911)+P3(x1911,x1912)+P3(x1911,x1913)+E(x1911,a17)+E(x1911,a1)+~E(f14(x1911,x1914),f14(x1912,x1913))+P1(f9(x1912,x1913,x1911))+~P4(f15(f15(x1912,x1913),x1911),f15(f15(a18,a19),a20))
% 2.00/2.06  [192]P3(x1921,x1922)+~P1(x1924)+~P1(x1922)+~P1(x1921)+~P1(x1923)+E(x1921,a17)+E(x1921,a1)+~E(f14(x1921,x1924),f14(x1922,x1923))+P1(f9(x1922,x1923,x1921))+~P4(f15(f15(x1922,x1923),x1921),f15(f15(a18,a19),a20))+E(f14(x1921,f10(x1922,x1923,x1921)),x1923)
% 2.00/2.06  [193]~P1(x1934)+~P1(x1931)+~P1(x1933)+~P1(x1932)+P3(x1931,x1932)+E(x1931,a17)+E(x1931,a1)+~E(f14(x1932,x1933),f14(x1931,x1934))+P1(f10(x1932,x1933,x1931))+~P4(f15(f15(x1932,x1933),x1931),f15(f15(a18,a19),a20))+P1(f9(x1932,x1933,x1931))
% 2.00/2.06  [194]P3(x1941,x1943)+~P1(x1944)+~P1(x1942)+~P1(x1943)+~P1(x1941)+E(x1941,a17)+E(x1941,a1)+~E(f14(x1941,x1944),f14(x1942,x1943))+P1(f9(x1942,x1943,x1941))+~P4(f15(f15(x1942,x1943),x1941),f15(f15(a18,a19),a20))+E(f14(x1941,f11(x1942,x1943,x1941)),x1942)
% 2.00/2.06  [195]~P1(x1954)+~P1(x1952)+~P1(x1951)+~P1(x1953)+E(x1951,a17)+E(x1951,a1)+~E(f14(x1951,x1954),f14(x1952,x1953))+E(f14(x1951,f10(x1952,x1953,x1951)),x1953)+P1(f9(x1952,x1953,x1951))+~P4(f15(f15(x1952,x1953),x1951),f15(f15(a18,a19),a20))+E(f14(x1951,f11(x1952,x1953,x1951)),x1952)
% 2.00/2.06  [196]~P1(x1964)+~P1(x1961)+~P1(x1963)+~P1(x1962)+E(x1961,a17)+E(x1961,a1)+~E(f14(x1962,x1963),f14(x1961,x1964))+P1(f9(x1962,x1963,x1961))+P1(f10(x1962,x1963,x1961))+~P4(f15(f15(x1962,x1963),x1961),f15(f15(a18,a19),a20))+E(f14(x1961,f11(x1962,x1963,x1961)),x1962)
% 2.00/2.06  [197]~P1(x1974)+~P1(x1973)+~P1(x1972)+~P1(x1971)+P3(x1971,x1972)+E(x1971,a17)+E(x1971,a1)+~E(f14(x1971,x1974),f14(x1973,x1972))+P1(f11(x1973,x1972,x1971))+~P4(f15(f15(x1973,x1972),x1971),f15(f15(a18,a19),a20))+P1(f9(x1973,x1972,x1971))
% 2.00/2.06  [198]~P1(x1984)+~P1(x1982)+~P1(x1981)+~P1(x1983)+E(x1981,a17)+E(x1981,a1)+~E(f14(x1981,x1984),f14(x1982,x1983))+P1(f9(x1982,x1983,x1981))+P1(f11(x1982,x1983,x1981))+~P4(f15(f15(x1982,x1983),x1981),f15(f15(a18,a19),a20))+E(f14(x1981,f10(x1982,x1983,x1981)),x1983)
% 2.00/2.06  [199]~P1(x1994)+~P1(x1991)+~P1(x1993)+~P1(x1992)+E(x1991,a17)+E(x1991,a1)+~E(f14(x1992,x1993),f14(x1991,x1994))+P1(f11(x1992,x1993,x1991))+P1(f10(x1992,x1993,x1991))+~P4(f15(f15(x1992,x1993),x1991),f15(f15(a18,a19),a20))+P1(f9(x1992,x1993,x1991))
% 2.00/2.06  [219]E(x2191,x2191)
% 2.00/2.06  [220]E(x2202,x2201)+~E(x2201,x2202)
% 2.00/2.06  [221]E(x2211,x2213)+~E(x2211,x2212)+~E(x2212,x2213)
% 2.00/2.06  [222]~E(x2221,x2222)+E(f13(x2221,x2223),f13(x2222,x2223))
% 2.00/2.06  [223]~E(x2231,x2232)+E(f13(x2233,x2231),f13(x2233,x2232))
% 2.00/2.06  [224]~E(x2241,x2242)+E(f15(x2241,x2243),f15(x2242,x2243))
% 2.00/2.06  [225]~E(x2251,x2252)+E(f15(x2253,x2251),f15(x2253,x2252))
% 2.00/2.06  [226]~E(x2261,x2262)+E(f14(x2261,x2263),f14(x2262,x2263))
% 2.00/2.06  [227]~E(x2271,x2272)+E(f14(x2273,x2271),f14(x2273,x2272))
% 2.00/2.06  [228]~E(x2281,x2282)+E(f11(x2281,x2283,x2284),f11(x2282,x2283,x2284))
% 2.00/2.06  [229]~E(x2291,x2292)+E(f11(x2293,x2291,x2294),f11(x2293,x2292,x2294))
% 2.00/2.06  [230]~E(x2301,x2302)+E(f11(x2303,x2304,x2301),f11(x2303,x2304,x2302))
% 2.00/2.06  [231]~E(x2311,x2312)+E(f10(x2311,x2313,x2314),f10(x2312,x2313,x2314))
% 2.00/2.06  [232]~E(x2321,x2322)+E(f10(x2323,x2321,x2324),f10(x2323,x2322,x2324))
% 2.00/2.06  [233]~E(x2331,x2332)+E(f10(x2333,x2334,x2331),f10(x2333,x2334,x2332))
% 2.00/2.06  [234]~E(x2341,x2342)+E(f9(x2341,x2343,x2344),f9(x2342,x2343,x2344))
% 2.00/2.06  [235]~E(x2351,x2352)+E(f9(x2353,x2351,x2354),f9(x2353,x2352,x2354))
% 2.00/2.06  [236]~E(x2361,x2362)+E(f9(x2363,x2364,x2361),f9(x2363,x2364,x2362))
% 2.00/2.06  [237]~E(x2371,x2372)+E(f12(x2371,x2373,x2374),f12(x2372,x2373,x2374))
% 2.00/2.06  [238]~E(x2381,x2382)+E(f12(x2383,x2381,x2384),f12(x2383,x2382,x2384))
% 2.00/2.06  [239]~E(x2391,x2392)+E(f12(x2393,x2394,x2391),f12(x2393,x2394,x2392))
% 2.00/2.06  [240]~E(x2401,x2402)+E(f16(x2401,x2403),f16(x2402,x2403))
% 2.00/2.06  [241]~E(x2411,x2412)+E(f16(x2413,x2411),f16(x2413,x2412))
% 2.00/2.06  [242]~E(x2421,x2422)+E(f7(x2421,x2423),f7(x2422,x2423))
% 2.00/2.06  [243]~E(x2431,x2432)+E(f7(x2433,x2431),f7(x2433,x2432))
% 2.00/2.06  [244]~E(x2441,x2442)+E(f8(x2441,x2443),f8(x2442,x2443))
% 2.00/2.06  [245]~E(x2451,x2452)+E(f8(x2453,x2451),f8(x2453,x2452))
% 2.00/2.06  [246]~E(x2461,x2462)+E(f6(x2461),f6(x2462))
% 2.00/2.06  [247]~E(x2471,x2472)+E(f5(x2471),f5(x2472))
% 2.00/2.06  [248]~P1(x2481)+P1(x2482)+~E(x2481,x2482)
% 2.00/2.06  [249]P4(x2492,x2493)+~E(x2491,x2492)+~P4(x2491,x2493)
% 2.00/2.06  [250]P4(x2503,x2502)+~E(x2501,x2502)+~P4(x2503,x2501)
% 2.00/2.06  [251]P3(x2512,x2513)+~E(x2511,x2512)+~P3(x2511,x2513)
% 2.00/2.06  [252]P3(x2523,x2522)+~E(x2521,x2522)+~P3(x2523,x2521)
% 2.00/2.06  [253]~P2(x2531)+P2(x2532)+~E(x2531,x2532)
% 2.00/2.06  [254]P5(x2542,x2543)+~E(x2541,x2542)+~P5(x2541,x2543)
% 2.00/2.06  [255]P5(x2553,x2552)+~E(x2551,x2552)+~P5(x2553,x2551)
% 2.00/2.06  cnf(316,plain,
% 2.00/2.06     ($false),
% 2.00/2.06     inference(scs_inference,[],[218,212]),
% 2.00/2.06     ['proof']).
% 2.00/2.06  % SZS output end Proof
% 2.00/2.06  % Total time : 5.040000 s
%------------------------------------------------------------------------------