TSTP Solution File: HAL003+3 by CSE_E---1.6
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%------------------------------------------------------------------------------
% File : CSE_E---1.6
% Problem : HAL003+3 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n028.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 : Tue Jun 18 07:51:04 EDT 2024
% Result : Theorem 17.63s 17.67s
% Output : CNFRefutation 17.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HAL003+3 : TPTP v8.2.0. Released v2.6.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jun 17 17:53:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.46/0.56 start to proof: theBenchmark
% 17.63/17.67 % Version : CSE_E---1.6
% 17.63/17.67 % Problem : theBenchmark.p
% 17.63/17.67 % Proof found
% 17.63/17.67 % SZS status Theorem for theBenchmark.p
% 17.63/17.67 % SZS output start Proof
% 17.63/17.67 [28]P6(a1,a2,a5)
% 17.63/17.67 [29]P6(a4,a5,a8)
% 17.63/17.67 [30]P6(a3,a9,a11)
% 17.63/17.67 [31]P6(a7,a11,a30)
% 17.63/17.67 [32]P6(a10,a2,a9)
% 17.63/17.67 [33]P6(a27,a5,a11)
% 17.63/17.67 [34]P6(a28,a8,a30)
% 17.63/17.67 [35]P1(a1)
% 17.63/17.67 [36]P1(a3)
% 17.63/17.67 [37]P5(a4)
% 17.63/17.67 [38]P5(a7)
% 17.63/17.67 [39]P2(a1,a4)
% 17.63/17.67 [40]P2(a29,a7)
% 17.63/17.67 [41]P3(a1,a27,a10,a3)
% 17.63/17.67 [42]P3(a4,a28,a27,a7)
% 17.63/17.67 [43]P5(a10)
% 17.63/17.67 [44]P5(a28)
% 17.63/17.67 [59]~P5(a27)
% 17.63/17.67 [47]~P4(x471,a11)+P4(f13(x471),a5)
% 17.63/17.67 [48]~P4(x481,a11)+E(f6(a7,x481),f12(x481))
% 17.63/17.67 [49]~P4(x491,a11)+P4(f12(x491),a30)
% 17.63/17.67 [52]~P4(x521,a11)+P4(f16(x521),a2)
% 17.63/17.67 [54]~P4(x541,a11)+P4(f15(x541),a11)
% 17.63/17.67 [55]~P4(x551,a11)+P4(f14(x551),a5)
% 17.63/17.67 [57]~P4(x571,a11)+P4(f18(x571),a5)
% 17.63/17.67 [58]~P4(x581,a11)+P4(f17(x581),a5)
% 17.63/17.67 [45]~P4(x451,a11)+E(f6(a7,f6(a27,f13(x451))),f12(x451))
% 17.63/17.67 [46]~P4(x461,a11)+E(f6(a28,f6(a4,f13(x461))),f12(x461))
% 17.63/17.67 [50]~P4(x501,a11)+E(f6(a27,f6(a1,f16(x501))),f15(x501))
% 17.63/17.67 [51]~P4(x511,a11)+E(f6(a3,f6(a10,f16(x511))),f15(x511))
% 17.63/17.67 [53]~P4(x531,a11)+E(f31(a11,f6(a27,f14(x531)),x531),f15(x531))
% 17.63/17.67 [56]~P4(x561,a11)+E(f6(a27,f31(a5,f17(x561),f18(x561))),x561)
% 17.63/17.67 [25]~P4(x252,x251)+E(f31(x251,x252,x252),f32(x251))
% 17.63/17.67 [1]~P6(x11,x12,x13)+E(f6(x11,f32(x12)),f32(x13))
% 17.63/17.67 [4]P1(x41)+~P6(x41,x42,x43)+~E(f20(x41,x42),f19(x41,x42))
% 17.63/17.67 [6]P1(x61)+~P6(x61,x62,x63)+P4(f20(x61,x62),x62)
% 17.63/17.67 [7]P1(x71)+~P6(x71,x72,x73)+P4(f19(x71,x72),x72)
% 17.63/17.67 [11]~P6(x111,x112,x113)+P5(x111)+P4(f21(x111,x112,x113),x113)
% 17.63/17.67 [24]~P4(x243,x241)+~P4(x242,x241)+P4(f31(x241,x242,x243),x241)
% 17.63/17.67 [5]P1(x51)+~P6(x51,x52,x53)+E(f6(x51,f20(x51,x52)),f6(x51,f19(x51,x52)))
% 17.63/17.67 [26]~P4(x263,x261)+~P4(x262,x261)+E(f31(x261,x262,f31(x261,x262,x263)),x263)
% 17.63/17.67 [2]~P6(x21,x24,x23)+~P4(x22,x24)+P4(f6(x21,x22),x23)
% 17.63/17.67 [9]~P5(x91)+~P4(x94,x93)+~P6(x91,x92,x93)+P4(f22(x91,x92,x93,x94),x92)
% 17.63/17.67 [10]~P4(x102,x103)+~P6(x101,x103,x104)+P5(x101)+~E(f6(x101,x102),f21(x101,x103,x104))
% 17.63/17.67 [8]~P5(x81)+~P4(x84,x83)+~P6(x81,x82,x83)+E(f6(x81,f22(x81,x82,x83,x84)),x84)
% 17.63/17.67 [27]~P4(x274,x272)+~P4(x273,x272)+~P6(x271,x272,x275)+E(f6(x271,f31(x272,x273,x274)),f31(x275,f6(x271,x273),f6(x271,x274)))
% 17.63/17.67 [19]~P6(x192,x194,x195)+~P6(x191,x193,x194)+P2(x191,x192)+P4(f26(x191,x192,x193,x194,x195),x193)+P4(f24(x191,x192,x193,x194,x195),x194)
% 17.63/17.67 [16]P2(x162,x161)+~P6(x161,x164,x165)+~P6(x162,x163,x164)+E(f6(x162,f26(x162,x161,x163,x164,x165)),f24(x162,x161,x163,x164,x165))+E(f6(x161,f24(x162,x161,x163,x164,x165)),f32(x165))
% 17.63/17.67 [17]P2(x172,x171)+~P6(x171,x174,x175)+~P6(x172,x173,x174)+P4(f26(x172,x171,x173,x174,x175),x173)+E(f6(x171,f24(x172,x171,x173,x174,x175)),f32(x175))
% 17.63/17.67 [18]P2(x181,x182)+~P6(x182,x184,x185)+~P6(x181,x183,x184)+P4(f24(x181,x182,x183,x184,x185),x184)+E(f6(x181,f26(x181,x182,x183,x184,x185)),f24(x181,x182,x183,x184,x185))
% 17.63/17.67 [3]~P1(x33)+~P4(x31,x34)+E(x31,x32)+~P6(x33,x34,x35)+~P4(x32,x34)+~E(f6(x33,x31),f6(x33,x32))
% 17.63/17.67 [15]~P4(x156,x154)+~P2(x151,x152)+~P6(x152,x154,x155)+~P6(x151,x153,x154)+~E(f6(x152,x156),f32(x155))+P4(f25(x151,x152,x153,x154,x155,x156),x153)
% 17.63/17.67 [14]~P4(x146,x144)+~P2(x141,x142)+~P6(x142,x144,x145)+~P6(x141,x143,x144)+~E(f6(x142,x146),f32(x145))+E(f6(x141,f25(x141,x142,x143,x144,x145,x146)),x146)
% 17.63/17.67 [12]~P2(x124,x121)+~P6(x121,x127,x123)+~P6(x124,x126,x127)+~P4(x125,x126)+E(f6(x121,x122),f32(x123))+~E(f6(x124,x125),x122)
% 17.63/17.67 [13]~P6(x133,x135,x132)+P4(x131,x132)+~P6(x136,x132,x137)+~P4(x134,x135)+~P2(x133,x136)+~E(f6(x133,x134),x131)
% 17.63/17.67 [23]~P6(x233,x235,x236)+~P6(x231,x235,x238)+P3(x231,x232,x233,x234)+~P6(x234,x236,x237)+~P6(x232,x238,x237)+P4(f23(x231,x232,x233,x234,x235),x235)
% 17.63/17.67 [22]~P6(x223,x225,x226)+~P6(x222,x228,x227)+P3(x221,x222,x223,x224)+~P6(x224,x226,x227)+~P6(x221,x225,x228)+~E(f6(x222,f6(x221,f23(x221,x222,x223,x224,x225))),f6(x224,f6(x223,f23(x221,x222,x223,x224,x225))))
% 17.63/17.67 [20]~P4(x203,x204)+~P6(x202,x205,x206)+~P6(x201,x204,x205)+P2(x201,x202)+~E(f6(x201,x203),f24(x201,x202,x204,x205,x206))+~P4(f24(x201,x202,x204,x205,x206),x205)+~E(f6(x202,f24(x201,x202,x204,x205,x206)),f32(x206))
% 17.63/17.67 [21]~P6(x215,x216,x217)+~P6(x212,x216,x219)+~P3(x212,x211,x215,x214)+~P6(x214,x217,x218)+~P6(x211,x219,x218)+~P4(x213,x216)+E(f6(x211,f6(x212,x213)),f6(x214,f6(x215,x213)))
% 17.63/17.67 [60]E(x601,x601)
% 17.63/17.67 [61]E(x612,x611)+~E(x611,x612)
% 17.63/17.67 [62]E(x621,x623)+~E(x621,x622)+~E(x622,x623)
% 17.63/17.67 [63]~E(x631,x632)+E(f6(x631,x633),f6(x632,x633))
% 17.63/17.67 [64]~E(x641,x642)+E(f6(x643,x641),f6(x643,x642))
% 17.63/17.67 [65]~E(x651,x652)+E(f12(x651),f12(x652))
% 17.63/17.67 [66]~E(x661,x662)+E(f22(x661,x663,x664,x665),f22(x662,x663,x664,x665))
% 17.63/17.67 [67]~E(x671,x672)+E(f22(x673,x671,x674,x675),f22(x673,x672,x674,x675))
% 17.63/17.67 [68]~E(x681,x682)+E(f22(x683,x684,x681,x685),f22(x683,x684,x682,x685))
% 17.63/17.67 [69]~E(x691,x692)+E(f22(x693,x694,x695,x691),f22(x693,x694,x695,x692))
% 17.63/17.67 [70]~E(x701,x702)+E(f13(x701),f13(x702))
% 17.63/17.67 [71]~E(x711,x712)+E(f14(x711),f14(x712))
% 17.63/17.67 [72]~E(x721,x722)+E(f15(x721),f15(x722))
% 17.63/17.67 [73]~E(x731,x732)+E(f16(x731),f16(x732))
% 17.63/17.67 [74]~E(x741,x742)+E(f17(x741),f17(x742))
% 17.63/17.67 [75]~E(x751,x752)+E(f18(x751),f18(x752))
% 17.63/17.67 [76]~E(x761,x762)+E(f26(x761,x763,x764,x765,x766),f26(x762,x763,x764,x765,x766))
% 17.63/17.67 [77]~E(x771,x772)+E(f26(x773,x771,x774,x775,x776),f26(x773,x772,x774,x775,x776))
% 17.63/17.67 [78]~E(x781,x782)+E(f26(x783,x784,x781,x785,x786),f26(x783,x784,x782,x785,x786))
% 17.63/17.67 [79]~E(x791,x792)+E(f26(x793,x794,x795,x791,x796),f26(x793,x794,x795,x792,x796))
% 17.63/17.67 [80]~E(x801,x802)+E(f26(x803,x804,x805,x806,x801),f26(x803,x804,x805,x806,x802))
% 17.63/17.67 [81]~E(x811,x812)+E(f23(x811,x813,x814,x815,x816),f23(x812,x813,x814,x815,x816))
% 17.63/17.67 [82]~E(x821,x822)+E(f23(x823,x821,x824,x825,x826),f23(x823,x822,x824,x825,x826))
% 17.63/17.67 [83]~E(x831,x832)+E(f23(x833,x834,x831,x835,x836),f23(x833,x834,x832,x835,x836))
% 17.63/17.67 [84]~E(x841,x842)+E(f23(x843,x844,x845,x841,x846),f23(x843,x844,x845,x842,x846))
% 17.63/17.67 [85]~E(x851,x852)+E(f23(x853,x854,x855,x856,x851),f23(x853,x854,x855,x856,x852))
% 17.65/17.67 [86]~E(x861,x862)+E(f24(x861,x863,x864,x865,x866),f24(x862,x863,x864,x865,x866))
% 17.65/17.67 [87]~E(x871,x872)+E(f24(x873,x871,x874,x875,x876),f24(x873,x872,x874,x875,x876))
% 17.65/17.67 [88]~E(x881,x882)+E(f24(x883,x884,x881,x885,x886),f24(x883,x884,x882,x885,x886))
% 17.65/17.67 [89]~E(x891,x892)+E(f24(x893,x894,x895,x891,x896),f24(x893,x894,x895,x892,x896))
% 17.65/17.67 [90]~E(x901,x902)+E(f24(x903,x904,x905,x906,x901),f24(x903,x904,x905,x906,x902))
% 17.65/17.67 [91]~E(x911,x912)+E(f19(x911,x913),f19(x912,x913))
% 17.65/17.67 [92]~E(x921,x922)+E(f19(x923,x921),f19(x923,x922))
% 17.65/17.67 [93]~E(x931,x932)+E(f32(x931),f32(x932))
% 17.65/17.67 [94]~E(x941,x942)+E(f20(x941,x943),f20(x942,x943))
% 17.65/17.67 [95]~E(x951,x952)+E(f20(x953,x951),f20(x953,x952))
% 17.65/17.67 [96]~E(x961,x962)+E(f25(x961,x963,x964,x965,x966,x967),f25(x962,x963,x964,x965,x966,x967))
% 17.65/17.67 [97]~E(x971,x972)+E(f25(x973,x971,x974,x975,x976,x977),f25(x973,x972,x974,x975,x976,x977))
% 17.65/17.67 [98]~E(x981,x982)+E(f25(x983,x984,x981,x985,x986,x987),f25(x983,x984,x982,x985,x986,x987))
% 17.65/17.67 [99]~E(x991,x992)+E(f25(x993,x994,x995,x991,x996,x997),f25(x993,x994,x995,x992,x996,x997))
% 17.65/17.67 [100]~E(x1001,x1002)+E(f25(x1003,x1004,x1005,x1006,x1001,x1007),f25(x1003,x1004,x1005,x1006,x1002,x1007))
% 17.65/17.67 [101]~E(x1011,x1012)+E(f25(x1013,x1014,x1015,x1016,x1017,x1011),f25(x1013,x1014,x1015,x1016,x1017,x1012))
% 17.65/17.67 [102]~E(x1021,x1022)+E(f31(x1021,x1023,x1024),f31(x1022,x1023,x1024))
% 17.65/17.67 [103]~E(x1031,x1032)+E(f31(x1033,x1031,x1034),f31(x1033,x1032,x1034))
% 17.65/17.67 [104]~E(x1041,x1042)+E(f31(x1043,x1044,x1041),f31(x1043,x1044,x1042))
% 17.65/17.67 [105]~E(x1051,x1052)+E(f21(x1051,x1053,x1054),f21(x1052,x1053,x1054))
% 17.65/17.67 [106]~E(x1061,x1062)+E(f21(x1063,x1061,x1064),f21(x1063,x1062,x1064))
% 17.65/17.67 [107]~E(x1071,x1072)+E(f21(x1073,x1074,x1071),f21(x1073,x1074,x1072))
% 17.65/17.67 [108]~P1(x1081)+P1(x1082)+~E(x1081,x1082)
% 17.65/17.67 [109]P6(x1092,x1093,x1094)+~E(x1091,x1092)+~P6(x1091,x1093,x1094)
% 17.65/17.67 [110]P6(x1103,x1102,x1104)+~E(x1101,x1102)+~P6(x1103,x1101,x1104)
% 17.65/17.67 [111]P6(x1113,x1114,x1112)+~E(x1111,x1112)+~P6(x1113,x1114,x1111)
% 17.65/17.67 [112]~P5(x1121)+P5(x1122)+~E(x1121,x1122)
% 17.65/17.67 [113]P4(x1132,x1133)+~E(x1131,x1132)+~P4(x1131,x1133)
% 17.65/17.67 [114]P4(x1143,x1142)+~E(x1141,x1142)+~P4(x1143,x1141)
% 17.65/17.67 [115]P2(x1152,x1153)+~E(x1151,x1152)+~P2(x1151,x1153)
% 17.65/17.67 [116]P2(x1163,x1162)+~E(x1161,x1162)+~P2(x1163,x1161)
% 17.65/17.67 [117]P3(x1172,x1173,x1174,x1175)+~E(x1171,x1172)+~P3(x1171,x1173,x1174,x1175)
% 17.65/17.67 [118]P3(x1183,x1182,x1184,x1185)+~E(x1181,x1182)+~P3(x1183,x1181,x1184,x1185)
% 17.65/17.67 [119]P3(x1193,x1194,x1192,x1195)+~E(x1191,x1192)+~P3(x1193,x1194,x1191,x1195)
% 17.65/17.67 [120]P3(x1203,x1204,x1205,x1202)+~E(x1201,x1202)+~P3(x1203,x1204,x1205,x1201)
% 17.65/17.67 cnf(122,plain,
% 17.65/17.67 (~P2(x1221,x1222)+~P6(x1222,x1223,x1224)+~P6(x1221,x1225,x1223)+~P4(x1226,x1225)+E(f6(x1222,f6(x1221,x1226)),f32(x1224))),
% 17.65/17.67 inference(equality_inference,[],[12])).
% 17.65/17.67 cnf(124,plain,
% 17.65/17.67 (~P6(x1241,x1242,x1243)+~P6(x1244,x1245,x1246)+~P6(x1244,x1245,x1242)+~P6(x1241,x1246,x1243)+P3(x1244,x1241,x1244,x1241)),
% 17.65/17.67 inference(equality_inference,[],[22])).
% 17.65/17.67 cnf(3905,plain,
% 17.65/17.67 (E(f25(f6(a4,f32(a5)),x39051,x39052,x39053,x39054,x39055),f25(f32(a8),x39051,x39052,x39053,x39054,x39055))),
% 17.65/17.67 inference(scs_inference,[],[29,1,102,103,104,105,106,107,66,67,68,69,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,96])).
% 17.65/17.67 cnf(3906,plain,
% 17.65/17.67 (E(f25(x39061,f6(a4,f32(a5)),x39062,x39063,x39064,x39065),f25(x39061,f32(a8),x39062,x39063,x39064,x39065))),
% 17.65/17.67 inference(scs_inference,[],[29,1,102,103,104,105,106,107,66,67,68,69,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,96,97])).
% 17.65/17.67 cnf(3914,plain,
% 17.65/17.67 (P4(f31(a11,f21(a27,a5,a11),f21(a27,a5,a11)),a11)),
% 17.65/17.67 inference(scs_inference,[],[59,37,29,33,1,102,103,104,105,106,107,66,67,68,69,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,96,97,98,99,100,101,112,11,24])).
% 17.65/17.67 cnf(3925,plain,
% 17.65/17.67 (P4(f12(f21(a27,a5,a11)),a30)),
% 17.65/17.67 inference(scs_inference,[],[59,37,29,31,33,28,1,102,103,104,105,106,107,66,67,68,69,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,96,97,98,99,100,101,112,11,24,26,27,124,61,47,49])).
% 17.65/17.67 cnf(3927,plain,
% 17.65/17.67 (P4(f16(f21(a27,a5,a11)),a2)),
% 17.65/17.67 inference(scs_inference,[],[59,37,29,31,33,28,1,102,103,104,105,106,107,66,67,68,69,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,96,97,98,99,100,101,112,11,24,26,27,124,61,47,49,52])).
% 17.65/17.67 cnf(3929,plain,
% 17.65/17.67 (P4(f15(f21(a27,a5,a11)),a11)),
% 17.65/17.67 inference(scs_inference,[],[59,37,29,31,33,28,1,102,103,104,105,106,107,66,67,68,69,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,96,97,98,99,100,101,112,11,24,26,27,124,61,47,49,52,54])).
% 17.65/17.67 cnf(3931,plain,
% 17.65/17.67 (P4(f14(f21(a27,a5,a11)),a5)),
% 17.65/17.67 inference(scs_inference,[],[59,37,29,31,33,28,1,102,103,104,105,106,107,66,67,68,69,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,96,97,98,99,100,101,112,11,24,26,27,124,61,47,49,52,54,55])).
% 17.65/17.67 cnf(3933,plain,
% 17.65/17.67 (P4(f18(f21(a27,a5,a11)),a5)),
% 17.65/17.67 inference(scs_inference,[],[59,37,29,31,33,28,1,102,103,104,105,106,107,66,67,68,69,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,96,97,98,99,100,101,112,11,24,26,27,124,61,47,49,52,54,55,57])).
% 17.65/17.67 cnf(3935,plain,
% 17.65/17.67 (P4(f17(f21(a27,a5,a11)),a5)),
% 17.65/17.67 inference(scs_inference,[],[59,37,29,31,33,28,1,102,103,104,105,106,107,66,67,68,69,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,96,97,98,99,100,101,112,11,24,26,27,124,61,47,49,52,54,55,57,58])).
% 17.65/17.67 cnf(3945,plain,
% 17.65/17.67 (E(f31(a11,f21(a27,a5,a11),f21(a27,a5,a11)),f32(a11))),
% 17.65/17.67 inference(scs_inference,[],[59,37,29,31,33,28,1,102,103,104,105,106,107,66,67,68,69,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,96,97,98,99,100,101,112,11,24,26,27,124,61,47,49,52,54,55,57,58,65,70,71,72,73,74,75,93,25])).
% 17.65/17.67 cnf(3965,plain,
% 17.65/17.67 (E(f6(a27,f31(a5,f17(f21(a27,a5,a11)),f18(f21(a27,a5,a11)))),f21(a27,a5,a11))),
% 17.65/17.67 inference(scs_inference,[],[59,37,29,31,33,28,1,102,103,104,105,106,107,66,67,68,69,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,96,97,98,99,100,101,112,11,24,26,27,124,61,47,49,52,54,55,57,58,65,70,71,72,73,74,75,93,25,63,64,91,92,94,95,48,45,46,50,51,53,56])).
% 17.65/17.67 cnf(3968,plain,
% 17.65/17.67 (P4(f32(a11),a11)),
% 17.65/17.67 inference(scs_inference,[],[59,37,29,31,33,28,1,102,103,104,105,106,107,66,67,68,69,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,96,97,98,99,100,101,112,11,24,26,27,124,61,47,49,52,54,55,57,58,65,70,71,72,73,74,75,93,25,63,64,91,92,94,95,48,45,46,50,51,53,56,62,113])).
% 17.65/17.67 cnf(3984,plain,
% 17.65/17.67 (P4(f16(f32(a11)),a2)),
% 17.65/17.67 inference(scs_inference,[],[3968,47,49,52])).
% 17.65/17.67 cnf(3994,plain,
% 17.65/17.67 (E(f31(a11,f32(a11),f32(a11)),f32(a11))),
% 17.65/17.67 inference(scs_inference,[],[3968,47,49,52,54,55,57,58,25])).
% 17.65/17.67 cnf(3998,plain,
% 17.65/17.67 (E(f6(a3,f32(a9)),f32(a11))),
% 17.65/17.67 inference(scs_inference,[],[3968,30,47,49,52,54,55,57,58,25,48,1])).
% 17.65/17.67 cnf(4055,plain,
% 17.65/17.67 (E(f25(x40551,x40552,x40553,x40554,f31(a11,f21(a27,a5,a11),f21(a27,a5,a11)),x40555),f25(x40551,x40552,x40553,x40554,f32(a11),x40555))),
% 17.65/17.67 inference(scs_inference,[],[3968,3945,30,47,49,52,54,55,57,58,25,48,1,45,46,50,51,53,56,65,70,71,72,73,74,75,93,63,64,91,92,94,95,102,103,104,105,106,107,66,67,68,69,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,96,97,98,99,100])).
% 17.65/17.67 cnf(4056,plain,
% 17.65/17.67 (E(f25(x40561,x40562,x40563,x40564,x40565,f31(a11,f21(a27,a5,a11),f21(a27,a5,a11))),f25(x40561,x40562,x40563,x40564,x40565,f32(a11)))),
% 17.65/17.67 inference(scs_inference,[],[3968,3945,30,47,49,52,54,55,57,58,25,48,1,45,46,50,51,53,56,65,70,71,72,73,74,75,93,63,64,91,92,94,95,102,103,104,105,106,107,66,67,68,69,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,96,97,98,99,100,101])).
% 17.65/17.67 cnf(4057,plain,
% 17.65/17.67 (P4(f6(a10,f16(f21(a27,a5,a11))),a9)),
% 17.65/17.67 inference(scs_inference,[],[3968,3945,3927,30,32,47,49,52,54,55,57,58,25,48,1,45,46,50,51,53,56,65,70,71,72,73,74,75,93,63,64,91,92,94,95,102,103,104,105,106,107,66,67,68,69,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,96,97,98,99,100,101,2])).
% 17.65/17.67 cnf(4064,plain,
% 17.65/17.67 (~E(f6(a27,f14(f21(a27,a5,a11))),f21(a27,a5,a11))),
% 17.65/17.67 inference(scs_inference,[],[59,43,3968,3945,3931,3927,30,32,33,47,49,52,54,55,57,58,25,48,1,45,46,50,51,53,56,65,70,71,72,73,74,75,93,63,64,91,92,94,95,102,103,104,105,106,107,66,67,68,69,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,96,97,98,99,100,101,2,24,26,112,10])).
% 17.65/17.67 cnf(4157,plain,
% 17.65/17.67 (P4(f6(a7,f15(f21(a27,a5,a11))),a30)),
% 17.65/17.67 inference(scs_inference,[],[3994,3929,4064,34,31,1,47,49,52,54,55,57,58,25,48,45,46,50,51,53,56,65,70,71,72,73,74,75,93,63,64,91,92,94,95,102,103,104,105,106,107,66,67,68,69,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,96,97,98,99,100,101,61,2])).
% 17.65/17.68 cnf(4163,plain,
% 17.65/17.68 (~E(a28,a27)),
% 17.65/17.68 inference(scs_inference,[],[59,44,3994,3929,4064,34,31,1,47,49,52,54,55,57,58,25,48,45,46,50,51,53,56,65,70,71,72,73,74,75,93,63,64,91,92,94,95,102,103,104,105,106,107,66,67,68,69,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,96,97,98,99,100,101,61,2,24,26,112])).
% 17.65/17.68 cnf(4175,plain,
% 17.65/17.68 (~E(f6(a27,f18(f21(a27,a5,a11))),f21(a27,a5,a11))),
% 17.65/17.68 inference(scs_inference,[],[59,44,3994,3929,3933,3925,3984,4064,3905,3906,39,34,33,29,31,28,1,47,49,52,54,55,57,58,25,48,45,46,50,51,53,56,65,70,71,72,73,74,75,93,63,64,91,92,94,95,102,103,104,105,106,107,66,67,68,69,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,96,97,98,99,100,101,61,2,24,26,112,62,9,8,122,6,10])).
% 17.65/17.68 cnf(4264,plain,
% 17.65/17.68 (~E(f6(a27,f18(f21(a27,a5,a11))),f6(a27,f31(a5,f17(f21(a27,a5,a11)),f18(f21(a27,a5,a11)))))),
% 17.65/17.68 inference(scs_inference,[],[4163,3998,3935,3914,4175,4057,3965,30,32,1,47,49,52,54,55,57,58,25,48,45,46,50,51,53,56,65,70,71,72,73,74,75,93,63,64,91,92,94,95,102,103,104,105,106,107,66,67,68,69,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,96,97,98,99,100,101,61,2,24,26,62])).
% 17.65/17.68 cnf(4477,plain,
% 17.65/17.68 (~E(f18(f21(a27,a5,a11)),f31(a5,f17(f21(a27,a5,a11)),f18(f21(a27,a5,a11))))),
% 17.65/17.68 inference(scs_inference,[],[4264,64])).
% 17.65/17.68 cnf(4904,plain,
% 17.65/17.68 (~P4(f31(a5,f17(f21(a27,a5,a11)),f18(f21(a27,a5,a11))),a5)),
% 17.65/17.68 inference(scs_inference,[],[4157,4055,4056,3965,44,59,34,33,64,61,62,8,10])).
% 17.65/17.68 cnf(5010,plain,
% 17.65/17.68 ($false),
% 17.65/17.68 inference(scs_inference,[],[4477,3933,4904,3935,61,24]),
% 17.65/17.68 ['proof']).
% 17.65/17.68 % SZS output end Proof
% 17.65/17.68 % Total time : 17.060000 s
%------------------------------------------------------------------------------