TSTP Solution File: GEO002-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO002-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n032.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 : Wed Aug 30 22:42:19 EDT 2023
% Result : Unsatisfiable 1.12s 1.21s
% Output : CNFRefutation 1.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO002-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.31 % Computer : n032.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Tue Aug 29 21:45:31 EDT 2023
% 0.12/0.31 % CPUTime :
% 0.16/0.49 start to proof:theBenchmark
% 1.12/1.20 %-------------------------------------------
% 1.12/1.20 % File :CSE---1.6
% 1.12/1.20 % Problem :theBenchmark
% 1.12/1.20 % Transform :cnf
% 1.12/1.20 % Format :tptp:raw
% 1.12/1.20 % Command :java -jar mcs_scs.jar %d %s
% 1.12/1.20
% 1.12/1.20 % Result :Theorem 0.660000s
% 1.12/1.20 % Output :CNFRefutation 0.660000s
% 1.12/1.20 %-------------------------------------------
% 1.12/1.21 %--------------------------------------------------------------------------
% 1.12/1.21 % File : GEO002-2 : TPTP v8.1.2. Released v1.0.0.
% 1.12/1.21 % Domain : Geometry
% 1.12/1.21 % Problem : For all points x and y, x is between x and y
% 1.12/1.21 % Version : [Qua89] axioms.
% 1.12/1.21 % English :
% 1.12/1.21
% 1.12/1.21 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 1.12/1.21 % : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 1.12/1.21 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 1.12/1.21 % Source : [TPTP]
% 1.12/1.21 % Names :
% 1.12/1.21
% 1.12/1.21 % Status : Unsatisfiable
% 1.12/1.21 % Rating : 0.19 v8.1.0, 0.21 v7.5.0, 0.26 v7.4.0, 0.29 v7.3.0, 0.25 v7.1.0, 0.17 v7.0.0, 0.20 v6.3.0, 0.18 v6.2.0, 0.20 v6.1.0, 0.29 v6.0.0, 0.20 v5.5.0, 0.30 v5.3.0, 0.33 v5.2.0, 0.25 v5.1.0, 0.35 v5.0.0, 0.43 v4.1.0, 0.38 v4.0.1, 0.27 v3.7.0, 0.20 v3.5.0, 0.27 v3.4.0, 0.17 v3.3.0, 0.21 v3.2.0, 0.23 v3.1.0, 0.18 v2.7.0, 0.25 v2.6.0, 0.30 v2.5.0, 0.25 v2.4.0, 0.33 v2.2.1, 0.22 v2.2.0, 0.44 v2.1.0, 0.75 v2.0.0
% 1.12/1.21 % Syntax : Number of clauses : 19 ( 7 unt; 5 nHn; 16 RR)
% 1.12/1.21 % Number of literals : 57 ( 7 equ; 35 neg)
% 1.12/1.21 % Maximal clause size : 8 ( 3 avg)
% 1.12/1.21 % Maximal term depth : 2 ( 1 avg)
% 1.12/1.21 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 1.12/1.21 % Number of functors : 10 ( 10 usr; 5 con; 0-6 aty)
% 1.12/1.21 % Number of variables : 71 ( 3 sgn)
% 1.12/1.21 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.12/1.21
% 1.12/1.21 % Comments :
% 1.12/1.21 %--------------------------------------------------------------------------
% 1.12/1.21 %----Include Tarski geometry axioms
% 1.12/1.21 include('Axioms/GEO002-0.ax').
% 1.12/1.21 %--------------------------------------------------------------------------
% 1.12/1.21 cnf(prove_a_between_a_and_b,negated_conjecture,
% 1.12/1.21 ~ between(a,a,b) ).
% 1.12/1.21
% 1.12/1.21 %--------------------------------------------------------------------------
% 1.12/1.21 %-------------------------------------------
% 1.12/1.21 % Proof found
% 1.12/1.21 % SZS status Theorem for theBenchmark
% 1.12/1.21 % SZS output start Proof
% 1.12/1.21 %ClaNum:54(EqnAxiom:35)
% 1.12/1.21 %VarNum:211(SingletonVarNum:71)
% 1.12/1.21 %MaxLitNum:8
% 1.12/1.21 %MaxfuncDepth:1
% 1.12/1.21 %SharedTerms:9
% 1.12/1.21 %goalClause: 42
% 1.12/1.21 %singleGoalClaCount:1
% 1.12/1.21 [39]~P2(a7,a9,a10)
% 1.12/1.21 [40]~P2(a9,a10,a7)
% 1.12/1.21 [41]~P2(a10,a7,a9)
% 1.12/1.21 [42]~P2(a2,a2,a3)
% 1.12/1.21 [36]P1(x361,x362,x362,x361)
% 1.12/1.21 [37]P2(x371,x372,f1(x371,x372,x373,x374))
% 1.12/1.21 [38]P1(x381,f1(x382,x381,x383,x384),x383,x384)
% 1.12/1.21 [43]~P2(x431,x432,x431)+E(x431,x432)
% 1.12/1.21 [44]~P1(x441,x442,x443,x443)+E(x441,x442)
% 1.12/1.21 [48]~P2(x485,x481,x484)+~P2(x482,x483,x484)+P2(x481,f8(x482,x483,x484,x481,x485),x482)
% 1.12/1.21 [49]~P2(x495,x494,x493)+~P2(x492,x491,x493)+P2(x491,f8(x492,x491,x493,x494,x495),x495)
% 1.12/1.21 [45]~P1(x455,x456,x451,x452)+P1(x451,x452,x453,x454)+~P1(x455,x456,x453,x454)
% 1.12/1.21 [50]~P2(x504,x502,x503)+~P2(x501,x502,x505)+E(x501,x502)+P2(x501,x503,f4(x501,x504,x502,x503,x505))
% 1.12/1.21 [51]~P2(x513,x512,x514)+~P2(x511,x512,x515)+E(x511,x512)+P2(x511,x513,f5(x511,x513,x512,x514,x515))
% 1.12/1.21 [52]~P2(x523,x522,x524)+~P2(x521,x522,x525)+E(x521,x522)+P2(f5(x521,x523,x522,x524,x525),x525,f4(x521,x523,x522,x524,x525))
% 1.12/1.21 [53]~P2(x533,x534,x535)+~P2(x532,x533,x535)+~P1(x532,x535,x532,x536)+~P1(x532,x533,x532,x531)+P2(x531,f6(x532,x533,x531,x534,x535,x536),x536)
% 1.12/1.21 [54]~P2(x543,x542,x545)+~P2(x541,x543,x545)+~P1(x541,x545,x541,x546)+~P1(x541,x543,x541,x544)+P1(x541,x542,x541,f6(x541,x543,x544,x542,x545,x546))
% 1.12/1.21 [46]P2(x465,x463,x464)+P2(x464,x465,x463)+~P1(x463,x461,x463,x462)+~P1(x465,x461,x465,x462)+~P1(x464,x461,x464,x462)+E(x461,x462)+P2(x463,x464,x465)
% 1.12/1.21 [47]~P2(x471,x472,x473)+~P1(x472,x474,x478,x476)+~P1(x472,x473,x478,x475)+~P1(x471,x474,x477,x476)+~P1(x471,x472,x477,x478)+E(x471,x472)+P1(x473,x474,x475,x476)+~P2(x477,x478,x475)
% 1.12/1.21 %EqnAxiom
% 1.12/1.21 [1]E(x11,x11)
% 1.12/1.21 [2]E(x22,x21)+~E(x21,x22)
% 1.12/1.21 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.12/1.21 [4]~E(x41,x42)+E(f1(x41,x43,x44,x45),f1(x42,x43,x44,x45))
% 1.12/1.21 [5]~E(x51,x52)+E(f1(x53,x51,x54,x55),f1(x53,x52,x54,x55))
% 1.12/1.21 [6]~E(x61,x62)+E(f1(x63,x64,x61,x65),f1(x63,x64,x62,x65))
% 1.12/1.21 [7]~E(x71,x72)+E(f1(x73,x74,x75,x71),f1(x73,x74,x75,x72))
% 1.12/1.21 [8]~E(x81,x82)+E(f6(x81,x83,x84,x85,x86,x87),f6(x82,x83,x84,x85,x86,x87))
% 1.12/1.21 [9]~E(x91,x92)+E(f6(x93,x91,x94,x95,x96,x97),f6(x93,x92,x94,x95,x96,x97))
% 1.12/1.21 [10]~E(x101,x102)+E(f6(x103,x104,x101,x105,x106,x107),f6(x103,x104,x102,x105,x106,x107))
% 1.12/1.21 [11]~E(x111,x112)+E(f6(x113,x114,x115,x111,x116,x117),f6(x113,x114,x115,x112,x116,x117))
% 1.12/1.21 [12]~E(x121,x122)+E(f6(x123,x124,x125,x126,x121,x127),f6(x123,x124,x125,x126,x122,x127))
% 1.12/1.21 [13]~E(x131,x132)+E(f6(x133,x134,x135,x136,x137,x131),f6(x133,x134,x135,x136,x137,x132))
% 1.12/1.21 [14]~E(x141,x142)+E(f8(x141,x143,x144,x145,x146),f8(x142,x143,x144,x145,x146))
% 1.12/1.21 [15]~E(x151,x152)+E(f8(x153,x151,x154,x155,x156),f8(x153,x152,x154,x155,x156))
% 1.12/1.21 [16]~E(x161,x162)+E(f8(x163,x164,x161,x165,x166),f8(x163,x164,x162,x165,x166))
% 1.12/1.21 [17]~E(x171,x172)+E(f8(x173,x174,x175,x171,x176),f8(x173,x174,x175,x172,x176))
% 1.12/1.21 [18]~E(x181,x182)+E(f8(x183,x184,x185,x186,x181),f8(x183,x184,x185,x186,x182))
% 1.12/1.21 [19]~E(x191,x192)+E(f4(x191,x193,x194,x195,x196),f4(x192,x193,x194,x195,x196))
% 1.12/1.21 [20]~E(x201,x202)+E(f4(x203,x201,x204,x205,x206),f4(x203,x202,x204,x205,x206))
% 1.12/1.21 [21]~E(x211,x212)+E(f4(x213,x214,x211,x215,x216),f4(x213,x214,x212,x215,x216))
% 1.12/1.21 [22]~E(x221,x222)+E(f4(x223,x224,x225,x221,x226),f4(x223,x224,x225,x222,x226))
% 1.12/1.21 [23]~E(x231,x232)+E(f4(x233,x234,x235,x236,x231),f4(x233,x234,x235,x236,x232))
% 1.12/1.21 [24]~E(x241,x242)+E(f5(x241,x243,x244,x245,x246),f5(x242,x243,x244,x245,x246))
% 1.12/1.21 [25]~E(x251,x252)+E(f5(x253,x251,x254,x255,x256),f5(x253,x252,x254,x255,x256))
% 1.12/1.21 [26]~E(x261,x262)+E(f5(x263,x264,x261,x265,x266),f5(x263,x264,x262,x265,x266))
% 1.12/1.21 [27]~E(x271,x272)+E(f5(x273,x274,x275,x271,x276),f5(x273,x274,x275,x272,x276))
% 1.12/1.21 [28]~E(x281,x282)+E(f5(x283,x284,x285,x286,x281),f5(x283,x284,x285,x286,x282))
% 1.12/1.21 [29]P1(x292,x293,x294,x295)+~E(x291,x292)+~P1(x291,x293,x294,x295)
% 1.12/1.21 [30]P1(x303,x302,x304,x305)+~E(x301,x302)+~P1(x303,x301,x304,x305)
% 1.12/1.21 [31]P1(x313,x314,x312,x315)+~E(x311,x312)+~P1(x313,x314,x311,x315)
% 1.12/1.21 [32]P1(x323,x324,x325,x322)+~E(x321,x322)+~P1(x323,x324,x325,x321)
% 1.12/1.21 [33]P2(x332,x333,x334)+~E(x331,x332)+~P2(x331,x333,x334)
% 1.12/1.21 [34]P2(x343,x342,x344)+~E(x341,x342)+~P2(x343,x341,x344)
% 1.12/1.21 [35]P2(x353,x354,x352)+~E(x351,x352)+~P2(x353,x354,x351)
% 1.12/1.21
% 1.12/1.21 %-------------------------------------------
% 1.12/1.22 cnf(55,plain,
% 1.12/1.22 (~E(f1(a2,a2,x551,x552),a3)),
% 1.12/1.22 inference(scs_inference,[],[42,37,35])).
% 1.12/1.22 cnf(57,plain,
% 1.12/1.22 (P1(x571,x572,x571,x572)),
% 1.12/1.22 inference(scs_inference,[],[42,36,37,35,45])).
% 1.12/1.22 cnf(59,plain,
% 1.12/1.22 (~E(a3,f1(a2,a2,x591,x592))),
% 1.12/1.22 inference(scs_inference,[],[42,36,37,35,45,2])).
% 1.12/1.22 cnf(60,plain,
% 1.12/1.22 (E(x601,f1(x602,x601,x603,x603))),
% 1.12/1.22 inference(scs_inference,[],[42,36,38,37,35,45,2,44])).
% 1.12/1.22 cnf(73,plain,
% 1.12/1.22 (E(f8(x731,x732,x733,x734,x735),f8(x731,x732,x733,x734,f1(x736,x735,x737,x737)))),
% 1.12/1.22 inference(scs_inference,[],[42,36,38,37,35,45,2,44,28,27,26,25,24,23,22,21,20,19,18])).
% 1.12/1.22 cnf(75,plain,
% 1.12/1.22 (E(f8(x751,x752,x753,x754,x755),f8(x751,x752,f1(x756,x753,x757,x757),x754,x755))),
% 1.12/1.22 inference(scs_inference,[],[42,36,38,37,35,45,2,44,28,27,26,25,24,23,22,21,20,19,18,17,16])).
% 1.12/1.22 cnf(78,plain,
% 1.12/1.22 (E(f6(x781,x782,x783,x784,x785,x786),f6(x781,x782,x783,x784,x785,f1(x787,x786,x788,x788)))),
% 1.12/1.22 inference(scs_inference,[],[42,36,38,37,35,45,2,44,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13])).
% 1.12/1.22 cnf(79,plain,
% 1.12/1.22 (E(f6(x791,x792,x793,x794,x795,x796),f6(x791,x792,x793,x794,f1(x797,x795,x798,x798),x796))),
% 1.12/1.22 inference(scs_inference,[],[42,36,38,37,35,45,2,44,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12])).
% 1.12/1.22 cnf(80,plain,
% 1.12/1.22 (E(f6(x801,x802,x803,x804,x805,x806),f6(x801,x802,x803,f1(x807,x804,x808,x808),x805,x806))),
% 1.12/1.22 inference(scs_inference,[],[42,36,38,37,35,45,2,44,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11])).
% 1.12/1.22 cnf(81,plain,
% 1.12/1.22 (E(f6(x811,x812,x813,x814,x815,x816),f6(x811,x812,f1(x817,x813,x818,x818),x814,x815,x816))),
% 1.12/1.22 inference(scs_inference,[],[42,36,38,37,35,45,2,44,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10])).
% 1.12/1.22 cnf(82,plain,
% 1.12/1.22 (E(f6(x821,x822,x823,x824,x825,x826),f6(x821,f1(x827,x822,x828,x828),x823,x824,x825,x826))),
% 1.12/1.22 inference(scs_inference,[],[42,36,38,37,35,45,2,44,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9])).
% 1.12/1.22 cnf(83,plain,
% 1.12/1.22 (E(f6(x831,x832,x833,x834,x835,x836),f6(f1(x837,x831,x838,x838),x832,x833,x834,x835,x836))),
% 1.12/1.22 inference(scs_inference,[],[42,36,38,37,35,45,2,44,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8])).
% 1.12/1.22 cnf(84,plain,
% 1.12/1.22 (E(f1(x841,x842,x843,x844),f1(x841,x842,x843,f1(x845,x844,x846,x846)))),
% 1.12/1.22 inference(scs_inference,[],[42,36,38,37,35,45,2,44,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7])).
% 1.12/1.22 cnf(85,plain,
% 1.12/1.22 (E(f1(x851,x852,x853,x854),f1(x851,x852,f1(x855,x853,x856,x856),x854))),
% 1.12/1.22 inference(scs_inference,[],[42,36,38,37,35,45,2,44,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6])).
% 1.12/1.22 cnf(86,plain,
% 1.12/1.22 (E(f1(x861,x862,x863,x864),f1(x861,f1(x865,x862,x866,x866),x863,x864))),
% 1.12/1.22 inference(scs_inference,[],[42,36,38,37,35,45,2,44,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 1.12/1.22 cnf(87,plain,
% 1.12/1.22 (E(f1(x871,x872,x873,x874),f1(f1(x875,x871,x876,x876),x872,x873,x874))),
% 1.12/1.22 inference(scs_inference,[],[42,36,38,37,35,45,2,44,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 1.12/1.22 cnf(88,plain,
% 1.12/1.22 (~P2(a2,x881,a3)+~E(x881,a2)),
% 1.12/1.22 inference(scs_inference,[],[42,36,38,37,35,45,2,44,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,34])).
% 1.12/1.22 cnf(89,plain,
% 1.12/1.22 (~E(f1(x891,f1(a2,a2,x892,x893),x894,x894),a3)),
% 1.12/1.22 inference(scs_inference,[],[42,36,38,37,35,45,2,44,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,34,3])).
% 1.12/1.22 cnf(117,plain,
% 1.12/1.22 (P1(f1(x1171,x1172,x1173,x1174),x1172,x1173,x1174)),
% 1.12/1.22 inference(scs_inference,[],[38,36,45])).
% 1.12/1.22 cnf(118,plain,
% 1.12/1.22 (P1(x1181,x1182,x1182,x1181)),
% 1.12/1.22 inference(rename_variables,[],[36])).
% 1.12/1.22 cnf(120,plain,
% 1.12/1.22 (P2(x1201,f8(x1202,x1201,f1(x1202,x1201,x1203,x1204),x1201,x1202),x1202)),
% 1.12/1.22 inference(scs_inference,[],[38,37,36,45,49])).
% 1.12/1.22 cnf(122,plain,
% 1.12/1.22 (~P1(f1(x1221,f1(a2,a2,x1222,x1223),x1224,x1224),a3,x1225,x1225)),
% 1.12/1.22 inference(scs_inference,[],[38,37,36,89,45,49,44])).
% 1.12/1.22 cnf(124,plain,
% 1.12/1.22 (E(x1241,f8(x1241,x1241,f1(x1241,x1241,x1242,x1243),x1241,x1241))),
% 1.12/1.22 inference(scs_inference,[],[38,37,36,89,45,49,44,43])).
% 1.12/1.22 cnf(126,plain,
% 1.12/1.22 (~E(a3,f1(x1261,f1(a2,a2,x1262,x1263),x1264,x1264))),
% 1.12/1.22 inference(scs_inference,[],[38,37,36,118,89,45,49,44,43,31])).
% 1.12/1.22 cnf(127,plain,
% 1.12/1.22 (P1(x1271,x1272,x1272,x1271)),
% 1.12/1.22 inference(rename_variables,[],[36])).
% 1.12/1.22 cnf(129,plain,
% 1.12/1.22 (P1(x1291,x1292,x1292,x1291)),
% 1.12/1.22 inference(rename_variables,[],[36])).
% 1.12/1.22 cnf(130,plain,
% 1.12/1.22 (P1(x1301,x1301,x1301,f6(x1301,x1301,x1301,x1301,f1(x1301,x1301,x1301,x1302),x1302))),
% 1.12/1.22 inference(scs_inference,[],[38,37,36,118,127,129,78,89,45,49,44,43,31,29,54])).
% 1.12/1.22 cnf(132,plain,
% 1.12/1.22 (P1(x1321,x1322,x1322,x1321)),
% 1.12/1.22 inference(rename_variables,[],[36])).
% 1.12/1.22 cnf(133,plain,
% 1.12/1.22 (P2(x1331,x1332,f1(x1331,x1332,x1333,x1334))),
% 1.12/1.22 inference(rename_variables,[],[37])).
% 1.12/1.22 cnf(134,plain,
% 1.12/1.22 (P1(x1341,f1(x1342,x1341,x1343,x1344),x1343,x1344)),
% 1.12/1.22 inference(rename_variables,[],[38])).
% 1.12/1.22 cnf(137,plain,
% 1.12/1.22 (~E(f1(a7,a9,x1371,x1372),a10)),
% 1.12/1.22 inference(scs_inference,[],[39,38,37,133,36,118,127,129,78,89,45,49,44,43,31,29,54,2,35])).
% 1.12/1.22 cnf(138,plain,
% 1.12/1.22 (P2(x1381,x1382,f1(x1381,x1382,x1383,x1384))),
% 1.12/1.22 inference(rename_variables,[],[37])).
% 1.12/1.22 cnf(139,plain,
% 1.12/1.22 (P2(x1391,f1(x1392,x1393,x1394,x1394),f1(x1391,x1393,x1395,x1396))),
% 1.12/1.22 inference(scs_inference,[],[39,38,37,133,138,36,118,127,129,78,60,89,45,49,44,43,31,29,54,2,35,34])).
% 1.12/1.22 cnf(142,plain,
% 1.12/1.22 (P1(x1421,x1422,x1422,x1421)),
% 1.12/1.22 inference(rename_variables,[],[36])).
% 1.12/1.22 cnf(146,plain,
% 1.12/1.22 (~P2(x1461,a2,a3)+~E(x1461,a2)),
% 1.12/1.22 inference(scs_inference,[],[42,39,38,37,133,138,36,118,127,129,132,78,79,60,89,45,49,44,43,31,29,54,2,35,34,32,3,33])).
% 1.12/1.22 cnf(147,plain,
% 1.12/1.22 (P2(x1471,f6(x1471,x1471,x1471,x1471,f1(x1471,x1471,x1471,x1472),x1472),x1472)),
% 1.12/1.22 inference(scs_inference,[],[42,39,38,134,37,133,138,36,118,127,129,132,142,78,79,60,89,45,49,44,43,31,29,54,2,35,34,32,3,33,53])).
% 1.12/1.22 cnf(153,plain,
% 1.12/1.22 (~E(f6(a2,a2,a2,a2,f1(a2,a2,a2,a3),a3),a2)),
% 1.12/1.22 inference(scs_inference,[],[42,39,38,134,37,133,138,36,118,127,129,132,142,78,79,60,89,45,49,44,43,31,29,54,2,35,34,32,3,33,53,88])).
% 1.12/1.22 cnf(168,plain,
% 1.12/1.22 (P2(f8(x1681,x1681,f1(x1681,x1681,x1682,x1683),x1681,x1681),x1684,f1(x1681,x1684,x1685,x1686))),
% 1.12/1.22 inference(scs_inference,[],[37,124,33])).
% 1.12/1.22 cnf(169,plain,
% 1.12/1.22 (E(x1691,f8(x1691,x1691,f1(x1691,x1691,x1692,x1693),x1691,x1691))),
% 1.12/1.22 inference(rename_variables,[],[124])).
% 1.12/1.22 cnf(170,plain,
% 1.12/1.22 (~P1(x1701,x1701,f1(x1702,f1(a2,a2,x1703,x1704),x1705,x1705),a3)),
% 1.12/1.22 inference(scs_inference,[],[36,37,124,122,33,45])).
% 1.12/1.22 cnf(171,plain,
% 1.12/1.22 (~P1(f1(x1711,f1(a2,a2,x1712,x1713),x1714,x1714),a3,x1715,x1715)),
% 1.12/1.22 inference(rename_variables,[],[122])).
% 1.12/1.22 cnf(172,plain,
% 1.12/1.22 (P1(x1721,x1722,x1722,x1721)),
% 1.12/1.22 inference(rename_variables,[],[36])).
% 1.12/1.22 cnf(174,plain,
% 1.12/1.22 (E(f1(x1741,x1742,x1743,x1743),x1742)),
% 1.12/1.22 inference(scs_inference,[],[36,37,124,117,122,33,45,44])).
% 1.12/1.22 cnf(180,plain,
% 1.12/1.22 (E(f1(x1801,x1802,x1803,x1804),f1(x1801,x1802,x1803,f1(x1805,x1804,x1806,x1806)))),
% 1.12/1.22 inference(rename_variables,[],[84])).
% 1.12/1.22 cnf(181,plain,
% 1.12/1.22 (~P1(f1(x1811,f1(a2,a2,x1812,x1813),f1(x1814,x1815,x1816,x1816),x1815),a3,x1817,x1817)),
% 1.12/1.22 inference(scs_inference,[],[36,55,37,124,84,180,117,122,171,33,45,44,43,31,29])).
% 1.12/1.22 cnf(182,plain,
% 1.12/1.22 (~P1(f1(x1821,f1(a2,a2,x1822,x1823),x1824,x1824),a3,x1825,x1825)),
% 1.12/1.22 inference(rename_variables,[],[122])).
% 1.12/1.22 cnf(184,plain,
% 1.12/1.22 (~E(a10,f1(a7,a9,x1841,x1842))),
% 1.12/1.22 inference(scs_inference,[],[36,55,37,124,84,180,117,122,171,137,33,45,44,43,31,29,2])).
% 1.12/1.22 cnf(185,plain,
% 1.12/1.22 (~P1(x1851,x1851,f1(x1852,f1(a2,a2,x1853,x1854),f1(x1855,x1856,x1857,x1857),f1(x1855,x1856,x1857,x1857)),f1(x1858,a3,x1859,x1859))),
% 1.12/1.22 inference(scs_inference,[],[36,55,37,124,84,180,117,122,171,137,33,45,44,43,31,29,2,32])).
% 1.12/1.22 cnf(186,plain,
% 1.12/1.22 (E(f6(x1861,x1862,x1863,x1864,x1865,x1866),f6(x1861,x1862,f1(x1867,x1863,x1868,x1868),f1(x1869,x1864,x18610,x18610),x1865,x1866))),
% 1.12/1.22 inference(scs_inference,[],[36,55,37,124,80,81,84,180,117,122,171,137,33,45,44,43,31,29,2,32,3])).
% 1.12/1.22 cnf(190,plain,
% 1.12/1.22 (P2(x1901,x1902,f1(x1901,x1902,x1903,x1904))),
% 1.12/1.22 inference(rename_variables,[],[37])).
% 1.12/1.22 cnf(191,plain,
% 1.12/1.22 (P2(x1911,x1912,f1(x1911,f1(x1913,x1912,x1914,x1914),x1915,x1916))),
% 1.12/1.22 inference(scs_inference,[],[36,55,37,190,124,169,80,81,84,180,86,117,122,171,182,137,33,45,44,43,31,29,2,32,3,30,34,35])).
% 1.12/1.22 cnf(193,plain,
% 1.12/1.22 (P2(x1931,f6(x1931,x1931,x1931,f1(x1932,x1931,x1933,x1933),f1(x1931,x1931,x1931,x1934),x1934),x1934)),
% 1.12/1.22 inference(scs_inference,[],[36,172,55,38,37,190,124,169,80,81,84,180,86,117,139,122,171,182,137,33,45,44,43,31,29,2,32,3,30,34,35,53])).
% 1.12/1.22 cnf(194,plain,
% 1.12/1.22 (P2(x1941,f1(x1942,x1943,x1944,x1944),f1(x1941,x1943,x1945,x1946))),
% 1.12/1.22 inference(rename_variables,[],[139])).
% 1.12/1.22 cnf(195,plain,
% 1.12/1.22 (P2(x1951,x1952,f1(x1951,x1952,x1953,x1954))),
% 1.12/1.22 inference(rename_variables,[],[37])).
% 1.12/1.22 cnf(196,plain,
% 1.12/1.22 (P1(x1961,f1(x1962,x1961,x1963,x1964),x1963,x1964)),
% 1.12/1.22 inference(rename_variables,[],[38])).
% 1.12/1.22 cnf(197,plain,
% 1.12/1.22 (P1(x1971,x1972,x1972,x1971)),
% 1.12/1.22 inference(rename_variables,[],[36])).
% 1.12/1.22 cnf(200,plain,
% 1.12/1.22 (P2(x2001,f1(x2002,x2003,x2004,x2004),f1(x2001,x2003,x2005,x2006))),
% 1.12/1.22 inference(rename_variables,[],[139])).
% 1.12/1.22 cnf(202,plain,
% 1.12/1.22 (~E(f1(a2,a2,x2021,x2022),a3)),
% 1.12/1.22 inference(rename_variables,[],[55])).
% 1.12/1.22 cnf(203,plain,
% 1.12/1.22 (P1(x2031,x2032,x2032,x2031)),
% 1.12/1.22 inference(rename_variables,[],[36])).
% 1.12/1.22 cnf(208,plain,
% 1.12/1.22 (P1(x2081,f1(x2082,x2081,x2083,x2084),x2083,x2084)),
% 1.12/1.22 inference(rename_variables,[],[38])).
% 1.12/1.22 cnf(210,plain,
% 1.12/1.22 (P1(x2101,f1(x2102,x2101,x2103,x2103),x2101,f6(x2101,x2101,x2101,f1(x2102,x2101,x2103,x2103),f1(x2101,x2101,x2101,x2104),x2104))),
% 1.12/1.22 inference(scs_inference,[],[36,172,197,203,55,202,38,196,208,37,190,195,124,169,80,81,84,180,86,117,139,194,200,122,171,182,137,42,33,45,44,43,31,29,2,32,3,30,34,35,53,47,46,54])).
% 1.12/1.22 cnf(217,plain,
% 1.12/1.22 (E(f1(x2171,x2172,x2173,x2173),x2172)),
% 1.12/1.22 inference(rename_variables,[],[174])).
% 1.12/1.22 cnf(219,plain,
% 1.12/1.22 (E(f1(x2191,x2192,x2193,x2193),x2192)),
% 1.12/1.22 inference(rename_variables,[],[174])).
% 1.12/1.22 cnf(222,plain,
% 1.12/1.22 (P1(x2221,x2222,x2222,x2221)),
% 1.12/1.22 inference(rename_variables,[],[36])).
% 1.12/1.22 cnf(224,plain,
% 1.12/1.22 (E(x2241,f6(x2241,x2241,x2241,x2241,f1(x2241,x2241,x2241,x2241),x2241))),
% 1.12/1.22 inference(scs_inference,[],[36,147,210,174,217,146,88,45,43])).
% 1.12/1.22 cnf(231,plain,
% 1.12/1.22 (P1(x2311,x2312,x2312,x2311)),
% 1.12/1.22 inference(rename_variables,[],[36])).
% 1.12/1.22 cnf(233,plain,
% 1.12/1.22 (P1(x2331,x2332,x2332,x2331)),
% 1.12/1.22 inference(rename_variables,[],[36])).
% 1.12/1.22 cnf(237,plain,
% 1.12/1.22 (P1(x2371,x2372,x2372,x2371)),
% 1.12/1.22 inference(rename_variables,[],[36])).
% 1.12/1.22 cnf(240,plain,
% 1.12/1.22 (~E(f8(a10,a10,f1(a10,a10,x2401,x2402),a10,a10),f1(a7,a9,x2403,x2404))),
% 1.12/1.22 inference(scs_inference,[],[36,222,231,233,40,55,147,210,168,82,73,174,217,219,184,124,146,88,45,43,33,31,29,44,32,34,3])).
% 1.12/1.22 cnf(245,plain,
% 1.12/1.22 (~E(f1(a9,a10,x2451,x2452),a7)),
% 1.12/1.22 inference(scs_inference,[],[36,222,231,233,237,40,55,37,147,210,168,82,73,174,217,219,184,124,146,88,45,43,33,31,29,44,32,34,3,2,30,35])).
% 1.12/1.22 cnf(253,plain,
% 1.12/1.22 (~P1(x2531,f1(x2532,x2531,x2533,x2533),f1(x2534,f1(a2,a2,x2535,x2536),f1(x2537,x2538,x2539,x2539),f1(x2537,x2538,x2539,x2539)),f1(x25310,a3,x25311,x25311))),
% 1.12/1.22 inference(scs_inference,[],[38,193,185,88,45])).
% 1.12/1.22 cnf(254,plain,
% 1.12/1.22 (P1(x2541,f1(x2542,x2541,x2543,x2544),x2543,x2544)),
% 1.12/1.22 inference(rename_variables,[],[38])).
% 1.12/1.22 cnf(259,plain,
% 1.12/1.22 (E(f1(x2591,x2592,x2593,x2593),x2592)),
% 1.12/1.22 inference(rename_variables,[],[174])).
% 1.12/1.22 cnf(261,plain,
% 1.12/1.22 (P1(x2611,x2612,x2611,x2612)),
% 1.12/1.22 inference(rename_variables,[],[57])).
% 1.12/1.22 cnf(262,plain,
% 1.12/1.22 (~P1(x2621,x2621,f1(x2622,f1(a2,a2,x2623,x2624),f1(x2625,x2626,x2627,x2627),f1(x2625,x2626,x2627,x2627)),f1(x2628,a3,x2629,x2629))),
% 1.12/1.22 inference(rename_variables,[],[185])).
% 1.12/1.22 cnf(264,plain,
% 1.12/1.22 (P1(x2641,x2642,x2641,x2642)),
% 1.12/1.22 inference(rename_variables,[],[57])).
% 1.12/1.22 cnf(266,plain,
% 1.12/1.22 (P1(x2661,f1(x2662,x2661,x2663,x2664),x2663,f6(x2664,x2664,x2664,x2664,f1(x2664,x2664,x2664,x2664),x2664))),
% 1.12/1.22 inference(scs_inference,[],[57,261,41,38,254,224,193,185,262,126,174,88,45,43,33,31,29,32])).
% 1.12/1.22 cnf(267,plain,
% 1.12/1.22 (P1(x2671,f1(x2672,x2671,x2673,x2674),x2673,x2674)),
% 1.12/1.22 inference(rename_variables,[],[38])).
% 1.12/1.22 cnf(268,plain,
% 1.12/1.22 (E(x2681,f6(f1(x2682,x2681,x2683,x2683),x2681,x2681,x2681,f1(x2681,x2681,x2681,x2681),x2681))),
% 1.12/1.22 inference(scs_inference,[],[57,261,41,38,254,224,193,83,185,262,126,174,88,45,43,33,31,29,32,3])).
% 1.12/1.23 cnf(269,plain,
% 1.12/1.23 (E(x2691,f6(x2691,x2691,x2691,x2691,f1(x2691,x2691,x2691,x2691),x2691))),
% 1.12/1.23 inference(rename_variables,[],[224])).
% 1.12/1.23 cnf(272,plain,
% 1.12/1.23 (~P2(a10,a7,f1(x2721,a9,x2722,x2722))),
% 1.12/1.23 inference(scs_inference,[],[57,261,41,38,254,224,193,83,185,262,240,126,174,259,88,45,43,33,31,29,32,3,2,35])).
% 1.12/1.23 cnf(273,plain,
% 1.12/1.23 (E(f1(x2731,x2732,x2733,x2733),x2732)),
% 1.12/1.23 inference(rename_variables,[],[174])).
% 1.12/1.23 cnf(274,plain,
% 1.12/1.23 (P2(x2741,f6(x2742,x2742,x2742,x2742,f1(x2742,x2742,x2742,x2742),x2742),f1(x2741,x2742,x2743,x2744))),
% 1.12/1.23 inference(scs_inference,[],[37,57,261,41,38,254,224,269,193,83,185,262,240,126,174,259,88,45,43,33,31,29,32,3,2,35,34])).
% 1.12/1.23 cnf(285,plain,
% 1.12/1.23 (E(f6(x2851,x2852,x2853,x2854,f1(x2855,x2856,x2857,x2857),x2858),f6(x2851,x2852,x2853,x2854,x2856,x2858))),
% 1.12/1.23 inference(scs_inference,[],[37,57,261,41,38,254,224,269,193,83,185,262,240,126,174,259,273,88,45,43,33,31,29,32,3,2,35,34,28,27,25,22,21,19,16,15,14,12])).
% 1.12/1.23 cnf(309,plain,
% 1.12/1.23 (~P1(f8(a10,a10,f1(a10,a10,x3091,x3092),a10,a10),f1(a7,a9,x3093,x3094),x3095,x3095)),
% 1.12/1.23 inference(scs_inference,[],[37,57,261,264,41,39,40,38,254,267,224,269,193,83,185,262,240,126,174,259,273,137,36,88,45,43,33,31,29,32,3,2,35,34,28,27,25,22,21,19,16,15,14,12,11,7,6,5,26,24,23,20,18,17,10,8,4,54,46,44])).
% 1.12/1.23 cnf(321,plain,
% 1.12/1.23 (P2(x3211,f1(x3212,x3213,x3214,x3214),f1(x3211,x3213,x3215,x3216))),
% 1.12/1.23 inference(rename_variables,[],[139])).
% 1.12/1.23 cnf(323,plain,
% 1.12/1.23 (~P1(f1(x3231,f1(a2,a2,x3232,x3233),f1(x3234,x3235,x3236,x3236),f1(x3234,x3235,x3236,x3236)),f1(x3237,a3,x3238,x3238),x3239,f1(x32310,x3239,x32311,x32311))),
% 1.12/1.23 inference(scs_inference,[],[37,57,253,139,48,45])).
% 1.12/1.23 cnf(324,plain,
% 1.12/1.23 (P1(x3241,x3242,x3241,x3242)),
% 1.12/1.23 inference(rename_variables,[],[57])).
% 1.12/1.23 cnf(326,plain,
% 1.12/1.23 (~P1(x3261,f1(x3262,x3261,x3263,x3263),f1(x3264,f1(a2,a2,x3265,x3266),x3267,f1(x3268,x3267,x3269,x3269)),f1(x32610,a3,x32611,x32611))),
% 1.12/1.23 inference(scs_inference,[],[37,57,85,253,139,48,45,31])).
% 1.12/1.23 cnf(329,plain,
% 1.12/1.23 (E(x3291,f6(x3291,x3291,x3291,f1(x3292,x3291,x3293,x3293),f1(x3291,x3291,x3291,x3291),x3291))),
% 1.12/1.23 inference(scs_inference,[],[37,57,85,253,193,139,48,45,31,43])).
% 1.12/1.23 cnf(333,plain,
% 1.12/1.23 (E(x3331,f6(f1(x3332,x3331,x3333,x3333),x3331,x3331,x3331,f1(x3331,x3331,x3331,x3331),x3331))),
% 1.12/1.23 inference(rename_variables,[],[268])).
% 1.12/1.23 cnf(334,plain,
% 1.12/1.23 (~P1(f8(a10,a10,a10,a10,a10),f1(a7,a9,x3341,x3342),x3343,x3343)),
% 1.12/1.23 inference(scs_inference,[],[37,57,268,75,85,253,309,193,139,48,45,31,43,33,29])).
% 1.12/1.23 cnf(337,plain,
% 1.12/1.23 (E(x3371,f6(f1(x3372,x3371,x3373,x3373),x3371,x3371,x3371,x3371,x3371))),
% 1.12/1.23 inference(scs_inference,[],[37,57,268,333,285,75,85,253,309,193,139,48,45,31,43,33,29,3])).
% 1.12/1.23 cnf(340,plain,
% 1.12/1.23 (P2(x3401,x3402,f1(x3401,x3402,x3403,x3404))),
% 1.12/1.23 inference(rename_variables,[],[37])).
% 1.12/1.23 cnf(344,plain,
% 1.12/1.23 (E(f6(f1(x3441,x3442,x3443,x3443),x3442,x3442,x3442,f1(x3442,x3442,x3442,x3442),x3442),x3442)),
% 1.12/1.23 inference(scs_inference,[],[37,57,268,333,285,75,85,253,309,170,272,193,139,174,48,45,31,43,33,29,3,34,32,2])).
% 1.12/1.23 cnf(348,plain,
% 1.12/1.23 (P1(x3481,x3482,x3481,x3482)),
% 1.12/1.23 inference(rename_variables,[],[57])).
% 1.12/1.23 cnf(349,plain,
% 1.12/1.23 (P2(x3491,f8(x3492,x3491,f1(x3492,x3491,x3493,x3494),f1(x3495,x3491,x3496,x3496),x3492),x3492)),
% 1.12/1.23 inference(scs_inference,[],[37,340,57,324,268,333,285,75,85,87,253,309,170,272,193,139,321,174,48,45,31,43,33,29,3,34,32,2,35,30,49])).
% 1.12/1.23 cnf(355,plain,
% 1.12/1.23 (P2(x3551,x3552,f1(x3551,x3552,x3553,x3554))),
% 1.12/1.23 inference(rename_variables,[],[37])).
% 1.12/1.23 cnf(359,plain,
% 1.12/1.23 (P2(x3591,x3592,f1(x3591,x3592,x3593,x3594))),
% 1.12/1.23 inference(rename_variables,[],[37])).
% 1.12/1.23 cnf(361,plain,
% 1.12/1.23 (~P1(a3,f1(a2,a2,x3611,x3612),a3,f1(a2,a2,x3611,x3612))+~P1(f1(a2,a2,x3611,x3612),a3,f1(a2,a2,x3611,x3612),f1(a3,f1(a2,a2,x3611,x3612),f1(x3613,x3614,x3615,x3615),x3614))+~P1(a3,a3,a3,f1(a3,f1(a2,a2,x3611,x3612),f1(x3613,x3614,x3615,x3615),x3614))),
% 1.12/1.23 inference(scs_inference,[],[37,340,355,359,57,324,348,268,333,285,75,85,87,253,309,181,170,272,193,139,321,59,174,48,45,31,43,33,29,3,34,32,2,35,30,49,88,51,50,47])).
% 1.12/1.23 cnf(370,plain,
% 1.12/1.23 (P1(x3701,x3702,x3701,x3702)),
% 1.12/1.23 inference(rename_variables,[],[57])).
% 1.12/1.23 cnf(376,plain,
% 1.12/1.23 (P2(f6(x3761,x3761,x3761,f1(x3762,x3761,x3763,x3763),f1(x3761,x3761,x3761,x3761),x3761),f1(x3764,x3765,x3766,x3766),f1(x3761,x3765,x3767,x3768))),
% 1.12/1.23 inference(scs_inference,[],[38,59,57,329,120,139,45,88,43,33])).
% 1.12/1.23 cnf(379,plain,
% 1.12/1.23 (E(x3791,f6(x3791,x3791,x3791,f1(x3792,x3791,x3793,x3793),f1(x3791,x3791,x3791,x3791),x3791))),
% 1.12/1.23 inference(rename_variables,[],[329])).
% 1.12/1.23 cnf(381,plain,
% 1.12/1.23 (E(x3811,f6(x3811,x3811,x3811,f1(x3812,x3811,x3813,x3813),f1(x3811,x3811,x3811,x3811),x3811))),
% 1.12/1.23 inference(rename_variables,[],[329])).
% 1.12/1.23 cnf(385,plain,
% 1.12/1.23 (E(x3851,f6(x3851,x3851,x3851,f1(x3852,x3851,x3853,x3853),f1(x3851,x3851,x3851,x3851),x3851))),
% 1.12/1.23 inference(rename_variables,[],[329])).
% 1.12/1.23 cnf(388,plain,
% 1.12/1.23 (~P1(f1(x3881,x3882,x3883,x3883),f1(x3884,x3882,x3885,x3885),f1(x3886,f1(a2,a2,x3887,x3888),x3889,f1(x38810,x3889,x38811,x38811)),f1(x38812,a3,x38813,x38813))),
% 1.12/1.23 inference(scs_inference,[],[38,59,57,39,329,379,381,344,120,191,326,86,139,45,88,43,33,31,29,34,3,35,30])).
% 1.12/1.23 cnf(396,plain,
% 1.12/1.23 (E(f6(x3961,x3961,x3961,f1(x3962,x3961,x3963,x3963),f1(x3961,x3961,x3961,x3961),x3961),f1(x3964,x3961,x3965,x3965))),
% 1.12/1.23 inference(scs_inference,[],[38,59,57,370,39,329,379,381,385,344,120,191,326,245,86,139,45,88,43,33,31,29,34,3,35,30,32,2,361,44])).
% 1.12/1.23 cnf(401,plain,
% 1.12/1.23 (P1(x4011,f6(x4011,x4011,x4011,x4011,f1(x4011,x4011,x4011,x4012),x4012),x4011,x4011)),
% 1.12/1.23 inference(scs_inference,[],[57,130,45])).
% 1.12/1.23 cnf(410,plain,
% 1.12/1.23 (~E(f1(x4101,a3,x4102,x4102),f1(x4103,f1(a2,a2,x4104,x4105),x4106,f1(x4107,x4106,x4108,x4108)))),
% 1.12/1.23 inference(scs_inference,[],[38,57,59,130,349,326,45,44,43,31])).
% 1.12/1.23 cnf(411,plain,
% 1.12/1.23 (P1(x4111,f1(x4112,x4111,x4113,x4114),x4113,x4114)),
% 1.12/1.23 inference(rename_variables,[],[38])).
% 1.12/1.23 cnf(412,plain,
% 1.12/1.23 (~P1(x4121,f1(x4122,x4121,x4123,x4123),f1(x4124,f1(a2,a2,x4125,x4126),x4127,f1(x4128,x4127,x4129,x4129)),f1(x41210,a3,x41211,x41211))),
% 1.12/1.23 inference(rename_variables,[],[326])).
% 1.12/1.23 cnf(420,plain,
% 1.12/1.23 (P2(x4201,f6(x4202,x4202,f1(x4203,x4202,x4204,x4204),f1(x4205,x4202,x4206,x4206),f1(x4202,x4202,x4202,x4202),x4202),f1(x4201,x4202,x4207,x4208))),
% 1.12/1.23 inference(scs_inference,[],[38,57,40,59,130,266,274,337,349,186,334,344,326,174,45,44,43,31,29,33,3,34])).
% 1.12/1.23 cnf(422,plain,
% 1.12/1.23 (~E(f1(x4221,f1(a2,a2,x4222,x4223),x4224,f1(x4225,x4224,x4226,x4226)),f1(x4227,a3,x4228,x4228))),
% 1.12/1.23 inference(scs_inference,[],[38,411,57,40,59,130,266,274,337,349,186,334,344,326,412,174,45,44,43,31,29,33,3,34,32])).
% 1.12/1.23 cnf(443,plain,
% 1.12/1.23 (E(x4431,f6(x4431,x4431,x4431,x4431,f1(x4431,x4431,x4431,x4432),x4432))),
% 1.12/1.23 inference(scs_inference,[],[401,44])).
% 1.12/1.23 cnf(445,plain,
% 1.12/1.23 (~P1(f1(x4451,f1(a2,a2,x4452,x4453),x4454,f1(x4455,x4454,x4456,x4456)),f1(x4457,a3,x4458,x4458),f1(x4459,x44510,x44511,x44511),f1(x44512,x44510,x44513,x44513))),
% 1.12/1.23 inference(scs_inference,[],[57,401,388,44,45])).
% 1.12/1.23 cnf(458,plain,
% 1.12/1.23 (P2(f1(x4581,x4582,x4583,x4583),f1(x4584,x4585,x4586,x4586),f1(x4582,x4585,x4587,x4588))),
% 1.12/1.23 inference(scs_inference,[],[60,57,401,396,376,323,388,410,153,349,44,45,46,88,43,29,33])).
% 1.12/1.23 cnf(500,plain,
% 1.12/1.23 (E(x5001,f1(x5002,x5001,x5003,x5003))),
% 1.12/1.23 inference(rename_variables,[],[60])).
% 1.12/1.23 cnf(502,plain,
% 1.12/1.23 (E(x5021,f1(x5022,x5021,x5023,x5023))),
% 1.12/1.23 inference(rename_variables,[],[60])).
% 1.12/1.23 cnf(507,plain,
% 1.12/1.23 ($false),
% 1.12/1.23 inference(scs_inference,[],[60,500,502,57,443,420,458,445,422,153,44,43,29,31,33,30,2]),
% 1.12/1.23 ['proof']).
% 1.12/1.23 % SZS output end Proof
% 1.12/1.23 % Total time :0.660000s
%------------------------------------------------------------------------------