TSTP Solution File: GEO093-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO093-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n027.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 22:42:54 EDT 2023
% Result : Unsatisfiable 8.23s 8.28s
% Output : CNFRefutation 8.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO093-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 21:10:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 8.14/8.27 %-------------------------------------------
% 8.14/8.27 % File :CSE---1.6
% 8.14/8.27 % Problem :theBenchmark
% 8.14/8.27 % Transform :cnf
% 8.14/8.27 % Format :tptp:raw
% 8.14/8.27 % Command :java -jar mcs_scs.jar %d %s
% 8.14/8.27
% 8.14/8.27 % Result :Theorem 7.650000s
% 8.23/8.27 % Output :CNFRefutation 7.650000s
% 8.23/8.27 %-------------------------------------------
% 8.23/8.28 %--------------------------------------------------------------------------
% 8.23/8.28 % File : GEO093-1 : TPTP v8.1.2. Released v2.4.0.
% 8.23/8.28 % Domain : Geometry (Oriented curves)
% 8.23/8.28 % Problem : Sum of meeting open curves is open
% 8.23/8.28 % Version : [EHK99] axioms.
% 8.23/8.28 % English : If two open sub-curves of an open curve meet, then their sum
% 8.23/8.28 % is also open.
% 8.23/8.28
% 8.23/8.28 % Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv
% 8.23/8.28 % : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% 8.23/8.28 % Source : [TPTP]
% 8.23/8.28 % Names :
% 8.23/8.28
% 8.23/8.28 % Status : Unsatisfiable
% 8.23/8.28 % Rating : 0.33 v8.1.0, 0.37 v7.5.0, 0.32 v7.4.0, 0.35 v7.3.0, 0.50 v7.1.0, 0.42 v7.0.0, 0.53 v6.4.0, 0.33 v6.3.0, 0.36 v6.2.0, 0.40 v6.1.0, 0.64 v6.0.0, 0.70 v5.5.0, 0.80 v5.3.0, 0.83 v5.2.0, 0.75 v5.1.0, 0.76 v5.0.0, 0.64 v4.1.0, 0.69 v4.0.1, 0.64 v4.0.0, 0.55 v3.7.0, 0.40 v3.5.0, 0.55 v3.4.0, 0.67 v3.3.0, 0.71 v3.2.0, 0.69 v3.1.0, 0.55 v2.7.0, 0.58 v2.6.0, 0.56 v2.4.0
% 8.23/8.28 % Syntax : Number of clauses : 53 ( 6 unt; 21 nHn; 48 RR)
% 8.23/8.28 % Number of literals : 159 ( 21 equ; 79 neg)
% 8.23/8.28 % Maximal clause size : 12 ( 3 avg)
% 8.23/8.28 % Maximal term depth : 3 ( 1 avg)
% 8.23/8.28 % Number of predicates : 8 ( 7 usr; 0 prp; 1-3 aty)
% 8.23/8.28 % Number of functors : 18 ( 18 usr; 4 con; 0-3 aty)
% 8.23/8.28 % Number of variables : 126 ( 10 sgn)
% 8.23/8.28 % SPC : CNF_UNS_RFO_SEQ_NHN
% 8.23/8.28
% 8.23/8.28 % Comments : Created by tptp2X -f tptp -t clausify:otter GEO093+1.p
% 8.23/8.28 %--------------------------------------------------------------------------
% 8.23/8.28 %----Include simple curve axioms
% 8.23/8.28 include('Axioms/GEO004-0.ax').
% 8.23/8.28 %--------------------------------------------------------------------------
% 8.23/8.28 cnf(proposition_2_14_2_67,negated_conjecture,
% 8.23/8.28 open(sk14) ).
% 8.23/8.28
% 8.23/8.28 cnf(proposition_2_14_2_68,negated_conjecture,
% 8.23/8.28 part_of(sk15,sk14) ).
% 8.23/8.28
% 8.23/8.28 cnf(proposition_2_14_2_69,negated_conjecture,
% 8.23/8.28 part_of(sk16,sk14) ).
% 8.23/8.28
% 8.23/8.28 cnf(proposition_2_14_2_70,negated_conjecture,
% 8.23/8.28 meet(sk17,sk15,sk16) ).
% 8.23/8.28
% 8.23/8.28 cnf(proposition_2_14_2_71,negated_conjecture,
% 8.23/8.28 ~ open(sum(sk15,sk16)) ).
% 8.23/8.28
% 8.23/8.28 %--------------------------------------------------------------------------
% 8.23/8.28 %-------------------------------------------
% 8.23/8.28 % Proof found
% 8.23/8.28 % SZS status Theorem for theBenchmark
% 8.23/8.28 % SZS output start Proof
% 8.23/8.28 %ClaNum:91(EqnAxiom:43)
% 8.23/8.28 %VarNum:331(SingletonVarNum:113)
% 8.23/8.29 %MaxLitNum:12
% 8.23/8.29 %MaxfuncDepth:2
% 8.23/8.29 %SharedTerms:10
% 8.23/8.29 %goalClause: 44 45 46 48 49
% 8.23/8.29 %singleGoalClaCount:5
% 8.23/8.29 [44]P1(a1)
% 8.23/8.29 [45]P7(a15,a1)
% 8.23/8.29 [46]P7(a16,a1)
% 8.23/8.29 [48]P6(a17,a15,a16)
% 8.23/8.29 [49]~P1(f18(a15,a16))
% 8.23/8.29 [47]P2(f2(x471),x471)
% 8.23/8.29 [50]P3(x501)+P4(f3(x501),x501)
% 8.23/8.29 [52]~P1(x521)+P4(f13(x521),x521)
% 8.23/8.29 [51]P1(x511)+~P4(x512,x511)
% 8.23/8.29 [54]~P3(x541)+~P4(x542,x541)
% 8.23/8.29 [55]~P4(x551,x552)+P5(x551,x552)
% 8.23/8.29 [56]~P2(x561,x562)+P5(x561,x562)
% 8.23/8.29 [57]~P2(x571,x572)+~P4(x571,x572)
% 8.23/8.29 [58]~P4(x581,x582)+~E(f4(x581,x582),x581)
% 8.23/8.29 [60]P7(x601,x602)+P5(f5(x601,x602),x601)
% 8.23/8.29 [64]~P4(x641,x642)+P4(f4(x641,x642),x642)
% 8.23/8.29 [71]P7(x711,x712)+~P5(f5(x711,x712),x712)
% 8.23/8.29 [78]~P2(x781,x782)+P6(x781,f14(x781,x782),f6(x781,x782))
% 8.23/8.29 [73]~P2(x731,x732)+E(f18(f14(x731,x732),f6(x731,x732)),x732)
% 8.23/8.29 [74]P5(x741,x742)+~P6(x741,x743,x742)
% 8.23/8.29 [75]P5(x751,x752)+~P6(x751,x752,x753)
% 8.23/8.29 [76]~P6(x763,x762,x761)+E(f9(x761,x762),f18(x762,x761))
% 8.23/8.29 [53]P1(x531)+~P7(x531,x532)+E(x531,x532)
% 8.23/8.29 [59]P2(x591,x592)+~P5(x591,x592)+P4(x591,x592)
% 8.23/8.29 [67]~P5(x671,x672)+P4(x671,x672)+P5(x671,f7(x672,x671))
% 8.23/8.29 [68]~P5(x681,x682)+P4(x681,x682)+P5(x681,f11(x682,x681))
% 8.23/8.29 [69]~P5(x691,x692)+P4(x691,x692)+P7(f7(x692,x691),x692)
% 8.23/8.29 [70]~P5(x701,x702)+P4(x701,x702)+P7(f11(x702,x701),x702)
% 8.23/8.29 [72]E(x721,x722)+P5(f8(x721,x722),x722)+P5(f8(x721,x722),x721)
% 8.23/8.29 [77]E(x771,x772)+~P5(f8(x771,x772),x772)+~P5(f8(x771,x772),x771)
% 8.23/8.29 [79]~P5(x791,x792)+P4(x791,x792)+~P7(f7(x792,x791),f11(x792,x791))
% 8.23/8.29 [80]~P5(x801,x802)+P4(x801,x802)+~P7(f11(x802,x801),f7(x802,x801))
% 8.23/8.29 [61]~P5(x611,x613)+P5(x611,x612)+~P7(x613,x612)
% 8.23/8.29 [89]~P5(f10(x893,x892,x891),x891)+~P5(f10(x893,x892,x891),x892)+E(x891,f18(x892,x893))
% 8.23/8.29 [90]~P5(f10(x903,x902,x901),x901)+~P5(f10(x903,x902,x901),x903)+E(x901,f18(x902,x903))
% 8.23/8.29 [62]~P5(x621,x624)+P5(x621,x622)+~E(x622,f18(x623,x624))
% 8.23/8.29 [63]~P5(x631,x633)+P5(x631,x632)+~E(x632,f18(x633,x634))
% 8.23/8.29 [85]~P5(x851,x853)+~P5(x851,x852)+P6(x851,x852,x853)+P5(f12(x853,x852,x851),x853)
% 8.23/8.29 [86]~P5(x861,x863)+~P5(x861,x862)+P6(x861,x862,x863)+P5(f12(x863,x862,x861),x862)
% 8.23/8.29 [88]P5(f10(x883,x882,x881),x881)+P5(f10(x883,x882,x881),x882)+P5(f10(x883,x882,x881),x883)+E(x881,f18(x882,x883))
% 8.23/8.29 [82]~P5(x821,x822)+P4(x821,x822)+~P6(x824,x823,x822)+~P5(x821,x823)
% 8.23/8.29 [83]~P5(x831,x832)+P4(x831,x832)+~P6(x834,x832,x833)+~P5(x831,x833)
% 8.23/8.29 [66]~P5(x661,x664)+P5(x661,x662)+P5(x661,x663)+~E(x664,f18(x663,x662))
% 8.23/8.29 [91]~P5(x911,x913)+~P5(x911,x912)+P6(x911,x912,x913)+~P4(f12(x913,x912,x911),x913)+~P4(f12(x913,x912,x911),x912)
% 8.23/8.29 [84]~P3(x844)+~P4(x841,x842)+P6(x841,x842,x843)+~P6(x845,x842,x843)+~E(x844,f18(x842,x843))
% 8.23/8.29 [65]E(x653,x651)+~P4(x651,x654)+~P4(x653,x654)+E(x651,x652)+E(x653,x652)+~P4(x652,x654)
% 8.23/8.29 [81]P7(x812,x811)+~P7(x812,x813)+~P5(x814,x812)+~P4(x814,x813)+P7(x811,x812)+~P7(x811,x813)+~P5(x814,x811)
% 8.23/8.29 [87]P7(x872,x871)+P7(x872,x873)+P7(x873,x871)+P7(x873,x872)+~P7(x872,x874)+~P7(x873,x874)+~P4(x875,x872)+~P4(x875,x873)+P7(x871,x872)+P7(x871,x873)+~P7(x871,x874)+~P4(x875,x871)
% 8.23/8.29 %EqnAxiom
% 8.23/8.29 [1]E(x11,x11)
% 8.23/8.29 [2]E(x22,x21)+~E(x21,x22)
% 8.23/8.29 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 8.23/8.29 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 8.23/8.29 [5]~E(x51,x52)+E(f18(x51,x53),f18(x52,x53))
% 8.23/8.29 [6]~E(x61,x62)+E(f18(x63,x61),f18(x63,x62))
% 8.23/8.29 [7]~E(x71,x72)+E(f3(x71),f3(x72))
% 8.23/8.29 [8]~E(x81,x82)+E(f13(x81),f13(x82))
% 8.23/8.29 [9]~E(x91,x92)+E(f4(x91,x93),f4(x92,x93))
% 8.23/8.29 [10]~E(x101,x102)+E(f4(x103,x101),f4(x103,x102))
% 8.23/8.29 [11]~E(x111,x112)+E(f5(x111,x113),f5(x112,x113))
% 8.23/8.29 [12]~E(x121,x122)+E(f5(x123,x121),f5(x123,x122))
% 8.23/8.29 [13]~E(x131,x132)+E(f12(x131,x133,x134),f12(x132,x133,x134))
% 8.23/8.29 [14]~E(x141,x142)+E(f12(x143,x141,x144),f12(x143,x142,x144))
% 8.23/8.29 [15]~E(x151,x152)+E(f12(x153,x154,x151),f12(x153,x154,x152))
% 8.23/8.29 [16]~E(x161,x162)+E(f10(x161,x163,x164),f10(x162,x163,x164))
% 8.23/8.29 [17]~E(x171,x172)+E(f10(x173,x171,x174),f10(x173,x172,x174))
% 8.23/8.29 [18]~E(x181,x182)+E(f10(x183,x184,x181),f10(x183,x184,x182))
% 8.23/8.29 [19]~E(x191,x192)+E(f7(x191,x193),f7(x192,x193))
% 8.23/8.29 [20]~E(x201,x202)+E(f7(x203,x201),f7(x203,x202))
% 8.23/8.29 [21]~E(x211,x212)+E(f11(x211,x213),f11(x212,x213))
% 8.23/8.29 [22]~E(x221,x222)+E(f11(x223,x221),f11(x223,x222))
% 8.23/8.29 [23]~E(x231,x232)+E(f14(x231,x233),f14(x232,x233))
% 8.23/8.29 [24]~E(x241,x242)+E(f14(x243,x241),f14(x243,x242))
% 8.23/8.29 [25]~E(x251,x252)+E(f6(x251,x253),f6(x252,x253))
% 8.23/8.29 [26]~E(x261,x262)+E(f6(x263,x261),f6(x263,x262))
% 8.23/8.29 [27]~E(x271,x272)+E(f8(x271,x273),f8(x272,x273))
% 8.23/8.29 [28]~E(x281,x282)+E(f8(x283,x281),f8(x283,x282))
% 8.23/8.29 [29]~E(x291,x292)+E(f9(x291,x293),f9(x292,x293))
% 8.23/8.29 [30]~E(x301,x302)+E(f9(x303,x301),f9(x303,x302))
% 8.23/8.29 [31]~P1(x311)+P1(x312)+~E(x311,x312)
% 8.23/8.29 [32]P7(x322,x323)+~E(x321,x322)+~P7(x321,x323)
% 8.23/8.29 [33]P7(x333,x332)+~E(x331,x332)+~P7(x333,x331)
% 8.23/8.29 [34]P6(x342,x343,x344)+~E(x341,x342)+~P6(x341,x343,x344)
% 8.23/8.29 [35]P6(x353,x352,x354)+~E(x351,x352)+~P6(x353,x351,x354)
% 8.23/8.29 [36]P6(x363,x364,x362)+~E(x361,x362)+~P6(x363,x364,x361)
% 8.23/8.29 [37]P2(x372,x373)+~E(x371,x372)+~P2(x371,x373)
% 8.23/8.29 [38]P2(x383,x382)+~E(x381,x382)+~P2(x383,x381)
% 8.23/8.29 [39]P5(x392,x393)+~E(x391,x392)+~P5(x391,x393)
% 8.23/8.29 [40]P5(x403,x402)+~E(x401,x402)+~P5(x403,x401)
% 8.23/8.29 [41]P4(x412,x413)+~E(x411,x412)+~P4(x411,x413)
% 8.23/8.29 [42]P4(x423,x422)+~E(x421,x422)+~P4(x423,x421)
% 8.23/8.29 [43]~P3(x431)+P3(x432)+~E(x431,x432)
% 8.23/8.29
% 8.23/8.29 %-------------------------------------------
% 8.26/8.30 cnf(92,plain,
% 8.26/8.30 (~P4(x921,f18(a15,a16))),
% 8.26/8.30 inference(scs_inference,[],[49,51])).
% 8.26/8.30 cnf(93,plain,
% 8.26/8.30 (P3(f18(a15,a16))),
% 8.26/8.30 inference(scs_inference,[],[49,51,50])).
% 8.26/8.30 cnf(94,plain,
% 8.26/8.30 (P5(a17,a15)),
% 8.26/8.30 inference(scs_inference,[],[48,49,51,50,75])).
% 8.26/8.30 cnf(96,plain,
% 8.26/8.30 (P5(a17,a16)),
% 8.26/8.30 inference(scs_inference,[],[48,49,51,50,75,74])).
% 8.26/8.30 cnf(98,plain,
% 8.26/8.30 (~P4(f2(x981),x981)),
% 8.26/8.30 inference(scs_inference,[],[48,49,47,51,50,75,74,57])).
% 8.26/8.30 cnf(100,plain,
% 8.26/8.30 (P5(f2(x1001),x1001)),
% 8.26/8.30 inference(scs_inference,[],[48,49,47,51,50,75,74,57,56])).
% 8.26/8.30 cnf(102,plain,
% 8.26/8.30 (P4(f13(a1),a1)),
% 8.26/8.30 inference(scs_inference,[],[44,48,49,47,51,50,75,74,57,56,52])).
% 8.26/8.30 cnf(104,plain,
% 8.26/8.30 (P4(f4(f13(a1),a1),a1)),
% 8.26/8.30 inference(scs_inference,[],[44,48,49,47,51,50,75,74,57,56,52,64])).
% 8.26/8.30 cnf(106,plain,
% 8.26/8.30 (~E(f4(f13(a1),a1),f13(a1))),
% 8.26/8.30 inference(scs_inference,[],[44,48,49,47,51,50,75,74,57,56,52,64,58])).
% 8.26/8.30 cnf(108,plain,
% 8.26/8.30 (P6(f2(x1081),f14(f2(x1081),x1081),f6(f2(x1081),x1081))),
% 8.26/8.30 inference(scs_inference,[],[44,48,49,47,51,50,75,74,57,56,52,64,58,78])).
% 8.26/8.30 cnf(110,plain,
% 8.26/8.30 (E(f9(a16,a15),f18(a15,a16))),
% 8.26/8.30 inference(scs_inference,[],[44,48,49,47,51,50,75,74,57,56,52,64,58,78,76])).
% 8.26/8.30 cnf(112,plain,
% 8.26/8.30 (~E(f18(a15,a16),x1121)+P3(x1121)),
% 8.26/8.30 inference(scs_inference,[],[44,48,49,47,51,50,75,74,57,56,52,64,58,78,76,43])).
% 8.26/8.30 cnf(114,plain,
% 8.26/8.30 (~E(f13(a1),f2(a1))),
% 8.26/8.30 inference(scs_inference,[],[44,48,49,47,51,50,75,74,57,56,52,64,58,78,76,43,42,41])).
% 8.26/8.30 cnf(115,plain,
% 8.26/8.30 (~E(a1,f18(a15,a16))),
% 8.26/8.30 inference(scs_inference,[],[44,48,49,47,51,50,75,74,57,56,52,64,58,78,76,43,42,41,31])).
% 8.26/8.30 cnf(116,plain,
% 8.26/8.30 (~E(a1,f9(a16,a15))),
% 8.26/8.30 inference(scs_inference,[],[44,48,49,47,51,50,75,74,57,56,52,64,58,78,76,43,42,41,31,3])).
% 8.26/8.30 cnf(117,plain,
% 8.26/8.30 (P5(a17,a1)),
% 8.26/8.30 inference(scs_inference,[],[44,45,48,49,47,51,50,75,74,57,56,52,64,58,78,76,43,42,41,31,3,61])).
% 8.26/8.30 cnf(119,plain,
% 8.26/8.30 (P5(a17,f9(a16,a15))),
% 8.26/8.30 inference(scs_inference,[],[44,45,48,49,47,51,50,75,74,57,56,52,64,58,78,76,43,42,41,31,3,61,63])).
% 8.26/8.30 cnf(121,plain,
% 8.26/8.30 (P7(f11(a1,f2(a1)),a1)),
% 8.26/8.30 inference(scs_inference,[],[44,45,48,49,47,51,50,75,74,57,56,52,64,58,78,76,43,42,41,31,3,61,63,70])).
% 8.26/8.30 cnf(129,plain,
% 8.26/8.30 (~P7(f11(a1,f2(a1)),f7(a1,f2(a1)))),
% 8.26/8.30 inference(scs_inference,[],[44,45,48,49,47,51,50,75,74,57,56,52,64,58,78,76,43,42,41,31,3,61,63,70,69,68,67,80])).
% 8.26/8.30 cnf(133,plain,
% 8.26/8.30 (~P6(x1331,a1,a1)),
% 8.26/8.30 inference(scs_inference,[],[44,45,48,49,47,51,50,75,74,57,56,52,64,58,78,76,43,42,41,31,3,61,63,70,69,68,67,80,79,83])).
% 8.26/8.30 cnf(135,plain,
% 8.26/8.30 (P5(f12(a1,a1,f2(a1)),a1)),
% 8.26/8.30 inference(scs_inference,[],[44,45,48,49,47,51,50,75,74,57,56,52,64,58,78,76,43,42,41,31,3,61,63,70,69,68,67,80,79,83,86])).
% 8.26/8.30 cnf(137,plain,
% 8.26/8.30 (E(f18(a15,a16),f9(a16,a15))),
% 8.26/8.30 inference(scs_inference,[],[44,45,48,49,47,51,50,75,74,57,56,52,64,58,78,76,43,42,41,31,3,61,63,70,69,68,67,80,79,83,86,2])).
% 8.26/8.30 cnf(141,plain,
% 8.26/8.30 (~P2(x1411,f9(a16,a15))+~E(f18(a15,a16),a1)+P2(x1411,f18(a15,a16))),
% 8.26/8.30 inference(scs_inference,[],[44,45,48,49,47,51,50,75,74,57,56,52,64,58,78,76,43,42,41,31,3,61,63,70,69,68,67,80,79,83,86,2,54,40,39,38])).
% 8.26/8.30 cnf(156,plain,
% 8.26/8.30 (P3(f9(a16,a15))),
% 8.26/8.30 inference(scs_inference,[],[137,112])).
% 8.26/8.30 cnf(163,plain,
% 8.26/8.30 (E(f6(x1631,f18(a15,a16)),f6(x1631,f9(a16,a15)))),
% 8.26/8.30 inference(scs_inference,[],[137,104,112,55,30,29,28,27,26])).
% 8.26/8.30 cnf(165,plain,
% 8.26/8.30 (E(f14(x1651,f18(a15,a16)),f14(x1651,f9(a16,a15)))),
% 8.26/8.30 inference(scs_inference,[],[137,104,112,55,30,29,28,27,26,25,24])).
% 8.26/8.30 cnf(168,plain,
% 8.26/8.30 (E(f11(f18(a15,a16),x1681),f11(f9(a16,a15),x1681))),
% 8.26/8.30 inference(scs_inference,[],[137,104,112,55,30,29,28,27,26,25,24,23,22,21])).
% 8.26/8.30 cnf(170,plain,
% 8.26/8.30 (E(f7(f18(a15,a16),x1701),f7(f9(a16,a15),x1701))),
% 8.26/8.30 inference(scs_inference,[],[137,104,112,55,30,29,28,27,26,25,24,23,22,21,20,19])).
% 8.26/8.30 cnf(171,plain,
% 8.26/8.30 (E(f10(x1711,x1712,f18(a15,a16)),f10(x1711,x1712,f9(a16,a15)))),
% 8.26/8.30 inference(scs_inference,[],[137,104,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18])).
% 8.26/8.30 cnf(172,plain,
% 8.26/8.30 (E(f10(x1721,f18(a15,a16),x1722),f10(x1721,f9(a16,a15),x1722))),
% 8.26/8.30 inference(scs_inference,[],[137,104,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17])).
% 8.26/8.30 cnf(174,plain,
% 8.26/8.30 (E(f12(x1741,x1742,f18(a15,a16)),f12(x1741,x1742,f9(a16,a15)))),
% 8.26/8.30 inference(scs_inference,[],[137,104,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15])).
% 8.26/8.30 cnf(175,plain,
% 8.26/8.30 (E(f12(x1751,f18(a15,a16),x1752),f12(x1751,f9(a16,a15),x1752))),
% 8.26/8.30 inference(scs_inference,[],[137,104,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14])).
% 8.26/8.30 cnf(176,plain,
% 8.26/8.30 (E(f12(f18(a15,a16),x1761,x1762),f12(f9(a16,a15),x1761,x1762))),
% 8.26/8.30 inference(scs_inference,[],[137,104,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13])).
% 8.26/8.30 cnf(178,plain,
% 8.26/8.30 (E(f5(f18(a15,a16),x1781),f5(f9(a16,a15),x1781))),
% 8.26/8.30 inference(scs_inference,[],[137,104,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11])).
% 8.26/8.30 cnf(183,plain,
% 8.26/8.30 (E(f18(x1831,f18(a15,a16)),f18(x1831,f9(a16,a15)))),
% 8.26/8.30 inference(scs_inference,[],[137,104,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6])).
% 8.26/8.30 cnf(184,plain,
% 8.26/8.30 (E(f18(f18(a15,a16),x1841),f18(f9(a16,a15),x1841))),
% 8.26/8.30 inference(scs_inference,[],[137,104,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 8.26/8.30 cnf(185,plain,
% 8.26/8.30 (E(f2(f18(a15,a16)),f2(f9(a16,a15)))),
% 8.26/8.30 inference(scs_inference,[],[137,104,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 8.26/8.30 cnf(186,plain,
% 8.26/8.30 (P5(f12(a1,a1,a17),a1)),
% 8.26/8.30 inference(scs_inference,[],[137,133,104,117,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,85])).
% 8.26/8.30 cnf(187,plain,
% 8.26/8.30 (~P6(x1871,a1,a1)),
% 8.26/8.30 inference(rename_variables,[],[133])).
% 8.26/8.30 cnf(190,plain,
% 8.26/8.30 (~P6(x1901,a1,a1)),
% 8.26/8.30 inference(rename_variables,[],[133])).
% 8.26/8.30 cnf(191,plain,
% 8.26/8.30 (P5(f2(x1911),x1911)),
% 8.26/8.30 inference(rename_variables,[],[100])).
% 8.26/8.30 cnf(193,plain,
% 8.26/8.30 (~P4(x1931,f9(a16,a15))),
% 8.26/8.30 inference(scs_inference,[],[100,137,133,187,104,117,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,85,91,54])).
% 8.26/8.30 cnf(195,plain,
% 8.26/8.30 (P7(f11(x1951,f2(x1951)),x1951)),
% 8.26/8.30 inference(scs_inference,[],[98,100,191,137,133,187,104,117,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,85,91,54,70])).
% 8.26/8.30 cnf(196,plain,
% 8.26/8.30 (P5(f2(x1961),x1961)),
% 8.26/8.30 inference(rename_variables,[],[100])).
% 8.26/8.30 cnf(198,plain,
% 8.26/8.30 (P7(f7(x1981,f2(x1981)),x1981)),
% 8.26/8.30 inference(scs_inference,[],[98,100,191,196,137,133,187,104,117,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,85,91,54,70,69])).
% 8.26/8.30 cnf(199,plain,
% 8.26/8.30 (P5(f2(x1991),x1991)),
% 8.26/8.30 inference(rename_variables,[],[100])).
% 8.26/8.30 cnf(201,plain,
% 8.26/8.30 (P5(f2(x2011),f11(x2011,f2(x2011)))),
% 8.26/8.30 inference(scs_inference,[],[98,100,191,196,199,137,133,187,104,117,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,85,91,54,70,69,68])).
% 8.26/8.30 cnf(202,plain,
% 8.26/8.30 (P5(f2(x2021),x2021)),
% 8.26/8.30 inference(rename_variables,[],[100])).
% 8.26/8.30 cnf(204,plain,
% 8.26/8.30 (~P1(f9(a16,a15))),
% 8.26/8.30 inference(scs_inference,[],[98,100,191,196,199,137,133,187,104,117,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,85,91,54,70,69,68,52])).
% 8.26/8.30 cnf(206,plain,
% 8.26/8.30 (~P7(f11(x2061,f2(x2061)),f7(x2061,f2(x2061)))),
% 8.26/8.30 inference(scs_inference,[],[98,100,191,196,199,202,137,133,187,104,117,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,85,91,54,70,69,68,52,80])).
% 8.26/8.30 cnf(207,plain,
% 8.26/8.30 (P5(f2(x2071),x2071)),
% 8.26/8.30 inference(rename_variables,[],[100])).
% 8.26/8.30 cnf(209,plain,
% 8.26/8.30 (~P7(f7(x2091,f2(x2091)),f11(x2091,f2(x2091)))),
% 8.26/8.30 inference(scs_inference,[],[98,100,191,196,199,202,207,137,133,187,104,117,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,85,91,54,70,69,68,52,80,79])).
% 8.26/8.31 cnf(210,plain,
% 8.26/8.31 (P5(f2(x2101),x2101)),
% 8.26/8.31 inference(rename_variables,[],[100])).
% 8.26/8.31 cnf(212,plain,
% 8.26/8.31 (~P5(f2(a15),a16)),
% 8.26/8.31 inference(scs_inference,[],[48,98,100,191,196,199,202,207,210,137,133,187,104,117,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,85,91,54,70,69,68,52,80,79,83])).
% 8.26/8.31 cnf(213,plain,
% 8.26/8.31 (P5(f2(x2131),x2131)),
% 8.26/8.31 inference(rename_variables,[],[100])).
% 8.26/8.31 cnf(214,plain,
% 8.26/8.31 (~P4(f2(x2141),x2141)),
% 8.26/8.31 inference(rename_variables,[],[98])).
% 8.26/8.31 cnf(217,plain,
% 8.26/8.31 (~P2(f4(f13(a1),a1),a1)),
% 8.26/8.31 inference(scs_inference,[],[48,98,100,191,196,199,202,207,210,137,106,133,187,104,117,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,85,91,54,70,69,68,52,80,79,83,2,57])).
% 8.26/8.31 cnf(219,plain,
% 8.26/8.31 (~E(f2(a16),f2(a15))),
% 8.26/8.31 inference(scs_inference,[],[48,98,100,191,196,199,202,207,210,213,137,106,133,187,104,117,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,85,91,54,70,69,68,52,80,79,83,2,57,39])).
% 8.26/8.31 cnf(220,plain,
% 8.26/8.31 (P5(f2(x2201),x2201)),
% 8.26/8.31 inference(rename_variables,[],[100])).
% 8.26/8.31 cnf(222,plain,
% 8.26/8.31 (P2(f12(a1,a1,f2(a1)),a1)),
% 8.26/8.31 inference(scs_inference,[],[48,98,100,191,196,199,202,207,210,213,137,129,106,135,133,187,104,121,117,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,85,91,54,70,69,68,52,80,79,83,2,57,39,33,59])).
% 8.26/8.31 cnf(224,plain,
% 8.26/8.31 (P5(f2(a16),f9(a16,a15))),
% 8.26/8.31 inference(scs_inference,[],[48,98,100,191,196,199,202,207,210,213,220,137,129,106,135,110,133,187,104,121,117,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,85,91,54,70,69,68,52,80,79,83,2,57,39,33,59,62])).
% 8.26/8.31 cnf(225,plain,
% 8.26/8.31 (P5(f2(x2251),x2251)),
% 8.26/8.31 inference(rename_variables,[],[100])).
% 8.26/8.31 cnf(227,plain,
% 8.26/8.31 (P5(f2(x2271),f7(x2271,f2(x2271)))),
% 8.26/8.31 inference(scs_inference,[],[48,98,214,100,191,196,199,202,207,210,213,220,225,137,129,106,135,110,133,187,104,121,117,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,85,91,54,70,69,68,52,80,79,83,2,57,39,33,59,62,67])).
% 8.26/8.31 cnf(228,plain,
% 8.26/8.31 (P5(f2(x2281),x2281)),
% 8.26/8.31 inference(rename_variables,[],[100])).
% 8.26/8.31 cnf(230,plain,
% 8.26/8.31 (P5(f12(a1,a1,f12(a1,a1,a17)),a1)),
% 8.26/8.31 inference(scs_inference,[],[48,98,214,100,191,196,199,202,207,210,213,220,225,137,129,106,135,110,133,187,190,104,121,117,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,85,91,54,70,69,68,52,80,79,83,2,57,39,33,59,62,67,86])).
% 8.26/8.31 cnf(231,plain,
% 8.26/8.31 (~P6(x2311,a1,a1)),
% 8.26/8.31 inference(rename_variables,[],[133])).
% 8.26/8.31 cnf(236,plain,
% 8.26/8.31 (P5(f2(x2361),x2361)),
% 8.26/8.31 inference(rename_variables,[],[100])).
% 8.26/8.31 cnf(239,plain,
% 8.26/8.31 (~P6(f2(a15),a16,x2391)),
% 8.26/8.31 inference(scs_inference,[],[48,47,98,214,100,191,196,199,202,207,210,213,220,225,228,137,129,106,135,110,133,187,190,104,121,117,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,85,91,54,70,69,68,52,80,79,83,2,57,39,33,59,62,67,86,56,40,37,3,75])).
% 8.26/8.31 cnf(243,plain,
% 8.26/8.31 (E(f18(a15,a16),x2431)+~P7(f18(a15,a16),x2431)),
% 8.26/8.31 inference(scs_inference,[],[46,49,48,47,98,214,100,191,196,199,202,207,210,213,220,225,228,236,137,129,106,135,110,133,187,190,104,121,117,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,85,91,54,70,69,68,52,80,79,83,2,57,39,33,59,62,67,86,56,40,37,3,75,61,53])).
% 8.26/8.31 cnf(245,plain,
% 8.26/8.31 (P5(f2(a16),f18(a16,f18(a15,a16)))),
% 8.26/8.31 inference(scs_inference,[],[46,49,48,47,98,214,100,191,196,199,202,207,210,213,220,225,228,236,137,129,106,135,110,133,187,190,104,121,117,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,85,91,54,70,69,68,52,80,79,83,2,57,39,33,59,62,67,86,56,40,37,3,75,61,53,63])).
% 8.26/8.31 cnf(246,plain,
% 8.26/8.31 (P5(f2(x2461),x2461)),
% 8.26/8.31 inference(rename_variables,[],[100])).
% 8.26/8.31 cnf(248,plain,
% 8.26/8.31 (~P6(x2481,x2482,x2482)),
% 8.26/8.31 inference(scs_inference,[],[46,49,48,47,98,214,100,191,196,199,202,207,210,213,220,225,228,236,246,137,129,106,135,110,133,187,190,104,121,117,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,85,91,54,70,69,68,52,80,79,83,2,57,39,33,59,62,67,86,56,40,37,3,75,61,53,63,82])).
% 8.26/8.31 cnf(252,plain,
% 8.26/8.31 (~P6(f2(a15),x2521,a16)),
% 8.26/8.31 inference(scs_inference,[],[46,49,48,47,98,214,100,191,196,199,202,207,210,213,220,225,228,236,246,137,129,106,135,110,133,187,190,104,121,117,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,85,91,54,70,69,68,52,80,79,83,2,57,39,33,59,62,67,86,56,40,37,3,75,61,53,63,82,74])).
% 8.26/8.31 cnf(256,plain,
% 8.26/8.31 (~P7(f18(a15,a16),a1)+P3(a1)),
% 8.26/8.31 inference(scs_inference,[],[46,49,48,47,98,214,100,191,196,199,202,207,210,213,220,225,228,236,246,137,129,106,135,110,93,133,187,190,231,104,121,117,112,55,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,85,91,54,70,69,68,52,80,79,83,2,57,39,33,59,62,67,86,56,40,37,3,75,61,53,63,82,74,41,35,43])).
% 8.26/8.31 cnf(274,plain,
% 8.26/8.31 (P5(f12(f9(a16,a15),f9(a16,a15),a17),f9(a16,a15))),
% 8.26/8.31 inference(scs_inference,[],[248,119,85])).
% 8.26/8.31 cnf(275,plain,
% 8.26/8.31 (~P6(x2751,x2752,x2752)),
% 8.26/8.31 inference(rename_variables,[],[248])).
% 8.26/8.31 cnf(277,plain,
% 8.26/8.31 (P5(f2(x2771),f14(f2(x2771),x2771))),
% 8.26/8.31 inference(scs_inference,[],[108,248,119,85,75])).
% 8.26/8.31 cnf(279,plain,
% 8.26/8.31 (~P4(f2(a15),a16)),
% 8.26/8.31 inference(scs_inference,[],[108,248,119,212,85,75,55])).
% 8.26/8.31 cnf(281,plain,
% 8.26/8.31 (~P7(f11(a15,f2(a15)),a16)),
% 8.26/8.31 inference(scs_inference,[],[108,201,248,119,212,85,75,55,61])).
% 8.26/8.31 cnf(282,plain,
% 8.26/8.31 (P5(f2(x2821),f11(x2821,f2(x2821)))),
% 8.26/8.31 inference(rename_variables,[],[201])).
% 8.26/8.31 cnf(285,plain,
% 8.26/8.31 (P5(f2(x2851),f11(x2851,f2(x2851)))),
% 8.26/8.31 inference(rename_variables,[],[201])).
% 8.26/8.31 cnf(287,plain,
% 8.26/8.31 (~P4(f12(a1,a1,f12(a1,a1,a17)),a1)),
% 8.26/8.31 inference(scs_inference,[],[108,201,282,248,275,119,186,212,85,75,55,61,66,91])).
% 8.26/8.31 cnf(288,plain,
% 8.26/8.31 (~P6(x2881,x2882,x2882)),
% 8.26/8.31 inference(rename_variables,[],[248])).
% 8.26/8.31 cnf(290,plain,
% 8.26/8.31 (P5(f2(x2901),f6(f2(x2901),x2901))),
% 8.26/8.31 inference(scs_inference,[],[108,201,282,248,275,119,186,212,85,75,55,61,66,91,74])).
% 8.26/8.31 cnf(292,plain,
% 8.26/8.31 (~P5(f2(a16),a15)),
% 8.26/8.31 inference(scs_inference,[],[48,108,201,282,248,275,119,186,212,100,98,85,75,55,61,66,91,74,82])).
% 8.26/8.31 cnf(296,plain,
% 8.26/8.31 (~E(a16,a15)),
% 8.26/8.31 inference(scs_inference,[],[48,108,201,282,248,275,119,186,219,212,100,98,85,75,55,61,66,91,74,82,4])).
% 8.26/8.31 cnf(297,plain,
% 8.26/8.31 (P5(a17,f18(x2971,f18(a15,a16)))),
% 8.26/8.31 inference(scs_inference,[],[48,108,201,282,248,275,183,119,186,219,212,100,98,85,75,55,61,66,91,74,82,4,62])).
% 8.26/8.31 cnf(299,plain,
% 8.26/8.31 (P2(a17,f9(a16,a15))),
% 8.26/8.31 inference(scs_inference,[],[48,108,201,282,248,275,183,193,119,186,219,212,100,98,85,75,55,61,66,91,74,82,4,62,59])).
% 8.26/8.31 cnf(308,plain,
% 8.26/8.31 (~E(a17,f2(a15))),
% 8.26/8.31 inference(scs_inference,[],[48,108,201,282,285,248,275,288,171,183,193,119,224,186,219,212,96,100,98,85,75,55,61,66,91,74,82,4,62,59,86,2,40,39])).
% 8.26/8.31 cnf(309,plain,
% 8.26/8.31 (P2(a17,f18(a15,a16))),
% 8.26/8.31 inference(scs_inference,[],[48,108,201,282,285,248,275,288,171,183,193,119,224,186,219,212,96,100,110,98,85,75,55,61,66,91,74,82,4,62,59,86,2,40,39,38])).
% 8.26/8.31 cnf(310,plain,
% 8.26/8.31 (E(f10(x3101,f18(a15,a16),f18(a15,a16)),f10(x3101,f9(a16,a15),f9(a16,a15)))),
% 8.26/8.31 inference(scs_inference,[],[48,108,201,282,285,248,275,288,171,172,183,193,119,224,186,219,212,96,100,110,98,85,75,55,61,66,91,74,82,4,62,59,86,2,40,39,38,3])).
% 8.26/8.31 cnf(343,plain,
% 8.26/8.31 (~P6(f2(a16),a15,x3431)),
% 8.26/8.31 inference(scs_inference,[],[292,102,74,55,75])).
% 8.26/8.31 cnf(345,plain,
% 8.26/8.31 (~P7(f14(f2(a16),a16),a15)),
% 8.26/8.31 inference(scs_inference,[],[277,292,102,74,55,75,61])).
% 8.26/8.31 cnf(348,plain,
% 8.26/8.31 (P4(a17,a15)),
% 8.26/8.31 inference(scs_inference,[],[48,277,94,292,96,102,74,55,75,61,83])).
% 8.26/8.31 cnf(350,plain,
% 8.26/8.31 (P5(a17,f18(a15,a16))),
% 8.26/8.31 inference(scs_inference,[],[48,277,94,309,292,96,102,74,55,75,61,83,56])).
% 8.26/8.31 cnf(352,plain,
% 8.26/8.31 (P4(a17,a16)),
% 8.26/8.31 inference(scs_inference,[],[48,277,94,309,292,96,102,74,55,75,61,83,56,82])).
% 8.26/8.31 cnf(354,plain,
% 8.26/8.31 (E(f2(f9(a16,a15)),f2(f18(a15,a16)))),
% 8.26/8.31 inference(scs_inference,[],[48,277,94,309,292,96,102,110,74,55,75,61,83,56,82,4])).
% 8.26/8.31 cnf(355,plain,
% 8.26/8.31 (P2(f2(f9(a16,a15)),f18(a15,a16))),
% 8.26/8.31 inference(scs_inference,[],[47,48,277,94,309,292,96,102,110,74,55,75,61,83,56,82,4,38])).
% 8.26/8.31 cnf(356,plain,
% 8.26/8.31 (P2(f2(x3561),x3561)),
% 8.26/8.31 inference(rename_variables,[],[47])).
% 8.26/8.31 cnf(357,plain,
% 8.26/8.31 (~E(f2(a15),a17)),
% 8.26/8.31 inference(scs_inference,[],[47,48,277,308,94,309,292,96,102,110,74,55,75,61,83,56,82,4,38,2])).
% 8.26/8.31 cnf(358,plain,
% 8.26/8.31 (P5(f2(a16),f18(a16,f9(a16,a15)))),
% 8.26/8.31 inference(scs_inference,[],[47,48,277,308,245,94,309,292,96,183,102,110,74,55,75,61,83,56,82,4,38,2,40])).
% 8.26/8.31 cnf(360,plain,
% 8.26/8.31 (P2(f2(f18(a15,a16)),f9(a16,a15))),
% 8.26/8.31 inference(scs_inference,[],[47,356,48,277,308,245,94,309,292,96,183,102,110,74,55,75,61,83,56,82,4,38,2,40,37])).
% 8.26/8.31 cnf(368,plain,
% 8.26/8.31 (P1(a15)),
% 8.26/8.31 inference(scs_inference,[],[47,356,48,206,209,198,277,308,245,94,309,292,195,96,183,102,110,74,55,75,61,83,56,82,4,38,2,40,37,81,51])).
% 8.26/8.31 cnf(393,plain,
% 8.26/8.31 (P7(a15,a15)),
% 8.26/8.31 inference(scs_inference,[],[348,45,87])).
% 8.26/8.31 cnf(395,plain,
% 8.26/8.31 (P5(f2(x3951),f18(f6(f2(x3951),x3951),f18(a15,a16)))),
% 8.26/8.31 inference(scs_inference,[],[290,348,183,45,87,63])).
% 8.26/8.31 cnf(399,plain,
% 8.26/8.31 (~P4(f2(a16),a15)),
% 8.26/8.31 inference(scs_inference,[],[48,343,156,110,84])).
% 8.26/8.31 cnf(400,plain,
% 8.26/8.31 (~P6(f2(a16),a15,x4001)),
% 8.26/8.31 inference(rename_variables,[],[343])).
% 8.26/8.31 cnf(403,plain,
% 8.26/8.31 (E(f18(f18(a15,a16),x4031),f18(f9(a16,a15),x4031))),
% 8.26/8.31 inference(rename_variables,[],[184])).
% 8.26/8.31 cnf(407,plain,
% 8.26/8.31 (~P2(f2(a16),a15)),
% 8.26/8.31 inference(scs_inference,[],[48,274,343,400,156,184,292,110,84,62,34,56])).
% 8.26/8.31 cnf(409,plain,
% 8.26/8.31 (~E(a15,f18(a15,a16))),
% 8.26/8.31 inference(scs_inference,[],[49,48,274,343,400,368,156,184,292,110,84,62,34,56,31])).
% 8.26/8.31 cnf(410,plain,
% 8.26/8.31 (P5(f12(f9(a16,a15),f9(a16,a15),a17),f18(f18(a15,a16),x4101))),
% 8.26/8.31 inference(scs_inference,[],[49,48,274,343,400,368,156,184,403,292,110,84,62,34,56,31,63])).
% 8.26/8.31 cnf(412,plain,
% 8.26/8.31 (~P5(f2(a16),f7(a15,f2(a15)))),
% 8.26/8.31 inference(scs_inference,[],[49,48,274,343,400,368,198,156,184,403,292,110,84,62,34,56,31,63,61])).
% 8.26/8.31 cnf(413,plain,
% 8.26/8.31 (P7(f7(x4131,f2(x4131)),x4131)),
% 8.26/8.31 inference(rename_variables,[],[198])).
% 8.26/8.31 cnf(415,plain,
% 8.26/8.31 (P2(f12(a1,a1,f12(a1,a1,a17)),a1)),
% 8.26/8.31 inference(scs_inference,[],[49,48,274,343,400,287,230,368,198,156,184,403,292,110,84,62,34,56,31,63,61,59])).
% 8.26/8.31 cnf(417,plain,
% 8.26/8.31 (E(f10(x4171,f9(a16,a15),f9(a16,a15)),f10(x4171,f18(a15,a16),f18(a15,a16)))),
% 8.26/8.31 inference(scs_inference,[],[49,48,274,343,400,287,230,368,310,198,156,184,403,292,110,84,62,34,56,31,63,61,59,2])).
% 8.26/8.31 cnf(419,plain,
% 8.26/8.31 (P5(f2(x4191),f18(f6(f2(x4191),x4191),f18(a15,a16)))),
% 8.26/8.31 inference(rename_variables,[],[395])).
% 8.26/8.31 cnf(420,plain,
% 8.26/8.31 (E(f12(x4201,f18(a15,a16),f18(a15,a16)),f12(x4201,f9(a16,a15),f9(a16,a15)))),
% 8.26/8.31 inference(scs_inference,[],[49,48,395,274,343,400,287,230,368,310,174,175,198,156,184,403,292,110,84,62,34,56,31,63,61,59,2,40,3])).
% 8.26/8.31 cnf(424,plain,
% 8.26/8.31 (P5(f2(x4241),x4241)),
% 8.26/8.31 inference(rename_variables,[],[100])).
% 8.26/8.31 cnf(425,plain,
% 8.26/8.31 (~E(f12(a1,a1,f2(a1)),f4(f13(a1),a1))),
% 8.26/8.31 inference(scs_inference,[],[49,48,395,274,343,400,287,230,368,222,217,310,174,175,198,156,184,403,100,292,110,84,62,34,56,31,63,61,59,2,40,3,39,37])).
% 8.26/8.31 cnf(426,plain,
% 8.26/8.31 (~E(f4(a17,a16),a17)),
% 8.26/8.31 inference(scs_inference,[],[49,48,395,274,343,400,287,230,352,368,222,217,310,174,175,198,156,184,403,100,292,110,84,62,34,56,31,63,61,59,2,40,3,39,37,58])).
% 8.26/8.31 cnf(428,plain,
% 8.26/8.31 (P4(f4(a17,a16),a16)),
% 8.26/8.31 inference(scs_inference,[],[49,48,395,274,343,400,287,230,352,368,222,217,310,174,175,198,156,184,403,100,292,110,84,62,34,56,31,63,61,59,2,40,3,39,37,58,64])).
% 8.26/8.31 cnf(430,plain,
% 8.26/8.31 (P6(a17,f14(a17,f9(a16,a15)),f6(a17,f9(a16,a15)))),
% 8.26/8.31 inference(scs_inference,[],[49,48,395,274,343,400,287,230,352,368,222,217,310,299,174,175,198,156,184,403,100,292,110,84,62,34,56,31,63,61,59,2,40,3,39,37,58,64,78])).
% 8.26/8.31 cnf(438,plain,
% 8.26/8.31 (P5(a17,f6(a17,f9(a16,a15)))),
% 8.26/8.31 inference(scs_inference,[],[49,48,395,274,343,400,287,230,352,368,222,217,310,299,174,175,206,209,198,413,156,184,403,195,100,292,110,84,62,34,56,31,63,61,59,2,40,3,39,37,58,64,78,81,74])).
% 8.26/8.31 cnf(441,plain,
% 8.26/8.31 (~P6(x4411,x4412,x4412)),
% 8.26/8.31 inference(rename_variables,[],[248])).
% 8.26/8.31 cnf(442,plain,
% 8.26/8.31 (~E(f14(a17,f9(a16,a15)),f6(a17,f9(a16,a15)))),
% 8.26/8.31 inference(scs_inference,[],[49,48,395,274,343,400,287,230,352,368,222,217,310,299,174,175,206,209,198,413,156,184,403,195,100,248,441,292,110,84,62,34,56,31,63,61,59,2,40,3,39,37,58,64,78,81,74,36,35])).
% 8.26/8.31 cnf(444,plain,
% 8.26/8.31 (~P6(x4441,f18(f6(f2(x4442),x4442),f18(a15,a16)),x4442)),
% 8.26/8.31 inference(scs_inference,[],[49,48,395,419,274,343,400,287,230,352,368,222,217,310,299,174,175,206,209,198,413,156,184,403,195,100,424,248,441,292,110,98,84,62,34,56,31,63,61,59,2,40,3,39,37,58,64,78,81,74,36,35,82])).
% 8.26/8.31 cnf(450,plain,
% 8.26/8.31 (P5(a17,f14(a17,f9(a16,a15)))),
% 8.26/8.31 inference(scs_inference,[],[49,48,395,419,274,343,400,287,230,352,368,222,217,310,299,174,175,206,209,198,413,156,184,403,195,100,424,248,441,292,110,98,84,62,34,56,31,63,61,59,2,40,3,39,37,58,64,78,81,74,36,35,82,55,75])).
% 8.26/8.31 cnf(469,plain,
% 8.26/8.31 (E(f9(x4691,f9(a16,a15)),f9(x4691,f18(a15,a16)))),
% 8.26/8.31 inference(scs_inference,[],[110,30])).
% 8.26/8.31 cnf(470,plain,
% 8.26/8.31 (E(f9(f9(a16,a15),x4701),f9(f18(a15,a16),x4701))),
% 8.26/8.31 inference(scs_inference,[],[110,30,29])).
% 8.26/8.31 cnf(471,plain,
% 8.26/8.31 (E(f6(x4711,f9(a16,a15)),f6(x4711,f18(a15,a16)))),
% 8.26/8.31 inference(scs_inference,[],[110,30,29,26])).
% 8.26/8.31 cnf(473,plain,
% 8.26/8.31 (E(f14(x4731,f9(a16,a15)),f14(x4731,f18(a15,a16)))),
% 8.26/8.31 inference(scs_inference,[],[110,30,29,26,25,24])).
% 8.26/8.31 cnf(475,plain,
% 8.26/8.31 (E(f7(f9(a16,a15),x4751),f7(f18(a15,a16),x4751))),
% 8.26/8.31 inference(scs_inference,[],[110,30,29,26,25,24,20,19])).
% 8.26/8.31 cnf(476,plain,
% 8.26/8.31 (E(f10(f9(a16,a15),x4761,x4762),f10(f18(a15,a16),x4761,x4762))),
% 8.26/8.31 inference(scs_inference,[],[110,30,29,26,25,24,20,19,16])).
% 8.26/8.31 cnf(477,plain,
% 8.26/8.31 (E(f12(x4771,x4772,f9(a16,a15)),f12(x4771,x4772,f18(a15,a16)))),
% 8.26/8.31 inference(scs_inference,[],[110,30,29,26,25,24,20,19,16,15])).
% 8.26/8.31 cnf(478,plain,
% 8.26/8.31 (E(f12(x4781,f9(a16,a15),x4782),f12(x4781,f18(a15,a16),x4782))),
% 8.26/8.31 inference(scs_inference,[],[110,30,29,26,25,24,20,19,16,15,14])).
% 8.26/8.31 cnf(479,plain,
% 8.26/8.31 (E(f12(f9(a16,a15),x4791,x4792),f12(f18(a15,a16),x4791,x4792))),
% 8.26/8.31 inference(scs_inference,[],[110,30,29,26,25,24,20,19,16,15,14,13])).
% 8.26/8.31 cnf(480,plain,
% 8.26/8.31 (E(f5(x4801,f9(a16,a15)),f5(x4801,f18(a15,a16)))),
% 8.26/8.31 inference(scs_inference,[],[110,30,29,26,25,24,20,19,16,15,14,13,12])).
% 8.26/8.31 cnf(481,plain,
% 8.26/8.31 (E(f4(x4811,f9(a16,a15)),f4(x4811,f18(a15,a16)))),
% 8.26/8.31 inference(scs_inference,[],[110,30,29,26,25,24,20,19,16,15,14,13,12,10])).
% 8.26/8.31 cnf(482,plain,
% 8.26/8.31 (E(f4(f9(a16,a15),x4821),f4(f18(a15,a16),x4821))),
% 8.26/8.31 inference(scs_inference,[],[110,30,29,26,25,24,20,19,16,15,14,13,12,10,9])).
% 8.26/8.31 cnf(484,plain,
% 8.26/8.31 (E(f18(x4841,f9(a16,a15)),f18(x4841,f18(a15,a16)))),
% 8.26/8.31 inference(scs_inference,[],[110,30,29,26,25,24,20,19,16,15,14,13,12,10,9,8,6])).
% 8.26/8.31 cnf(485,plain,
% 8.26/8.31 (E(f18(f9(a16,a15),x4851),f18(f18(a15,a16),x4851))),
% 8.26/8.31 inference(scs_inference,[],[110,30,29,26,25,24,20,19,16,15,14,13,12,10,9,8,6,5])).
% 8.26/8.31 cnf(486,plain,
% 8.26/8.31 (P7(f7(f18(a15,a16),a17),f18(a15,a16))),
% 8.26/8.31 inference(scs_inference,[],[92,350,110,30,29,26,25,24,20,19,16,15,14,13,12,10,9,8,6,5,69])).
% 8.26/8.31 cnf(487,plain,
% 8.26/8.31 (~P4(x4871,f18(a15,a16))),
% 8.26/8.31 inference(rename_variables,[],[92])).
% 8.26/8.31 cnf(489,plain,
% 8.26/8.31 (P5(f12(a15,a15,a17),a15)),
% 8.26/8.31 inference(scs_inference,[],[92,94,350,248,110,30,29,26,25,24,20,19,16,15,14,13,12,10,9,8,6,5,69,85])).
% 8.26/8.31 cnf(492,plain,
% 8.26/8.31 (E(f8(x4921,f9(a16,a15)),f8(x4921,f18(a15,a16)))),
% 8.26/8.31 inference(scs_inference,[],[92,94,350,248,110,30,29,26,25,24,20,19,16,15,14,13,12,10,9,8,6,5,69,85,28])).
% 8.26/8.31 cnf(493,plain,
% 8.26/8.31 (E(f8(f9(a16,a15),x4931),f8(f18(a15,a16),x4931))),
% 8.26/8.31 inference(scs_inference,[],[92,94,350,248,110,30,29,26,25,24,20,19,16,15,14,13,12,10,9,8,6,5,69,85,28,27])).
% 8.26/8.31 cnf(496,plain,
% 8.26/8.31 (E(f11(f9(a16,a15),x4961),f11(f18(a15,a16),x4961))),
% 8.26/8.31 inference(scs_inference,[],[92,94,350,248,110,30,29,26,25,24,20,19,16,15,14,13,12,10,9,8,6,5,69,85,28,27,23,22,21])).
% 8.26/8.31 cnf(497,plain,
% 8.26/8.31 (E(f10(x4971,f9(a16,a15),x4972),f10(x4971,f18(a15,a16),x4972))),
% 8.26/8.31 inference(scs_inference,[],[92,94,350,248,110,30,29,26,25,24,20,19,16,15,14,13,12,10,9,8,6,5,69,85,28,27,23,22,21,17])).
% 8.26/8.31 cnf(498,plain,
% 8.26/8.31 (E(f5(f9(a16,a15),x4981),f5(f18(a15,a16),x4981))),
% 8.26/8.31 inference(scs_inference,[],[92,94,350,248,110,30,29,26,25,24,20,19,16,15,14,13,12,10,9,8,6,5,69,85,28,27,23,22,21,17,11])).
% 8.26/8.31 cnf(500,plain,
% 8.26/8.31 (P7(f11(f18(a15,a16),a17),f18(a15,a16))),
% 8.26/8.31 inference(scs_inference,[],[92,487,94,350,248,110,30,29,26,25,24,20,19,16,15,14,13,12,10,9,8,6,5,69,85,28,27,23,22,21,17,11,7,70])).
% 8.26/8.31 cnf(501,plain,
% 8.26/8.31 (~P4(x5011,f18(a15,a16))),
% 8.26/8.31 inference(rename_variables,[],[92])).
% 8.26/8.31 cnf(503,plain,
% 8.26/8.31 (P5(a17,f11(f18(a15,a16),a17))),
% 8.26/8.31 inference(scs_inference,[],[92,487,501,94,350,248,110,30,29,26,25,24,20,19,16,15,14,13,12,10,9,8,6,5,69,85,28,27,23,22,21,17,11,7,70,68])).
% 8.26/8.31 cnf(504,plain,
% 8.26/8.31 (~P4(x5041,f18(a15,a16))),
% 8.26/8.31 inference(rename_variables,[],[92])).
% 8.26/8.31 cnf(507,plain,
% 8.26/8.31 (~P4(x5071,f18(a15,a16))),
% 8.26/8.31 inference(rename_variables,[],[92])).
% 8.26/8.31 cnf(509,plain,
% 8.26/8.31 (~P7(f11(f18(a15,a16),a17),f7(f18(a15,a16),a17))),
% 8.26/8.31 inference(scs_inference,[],[92,487,501,504,507,94,350,248,110,30,29,26,25,24,20,19,16,15,14,13,12,10,9,8,6,5,69,85,28,27,23,22,21,17,11,7,70,68,67,80])).
% 8.26/8.31 cnf(510,plain,
% 8.26/8.31 (~P4(x5101,f18(a15,a16))),
% 8.26/8.31 inference(rename_variables,[],[92])).
% 8.26/8.31 cnf(512,plain,
% 8.26/8.31 (~P7(f7(f18(a15,a16),a17),f11(f18(a15,a16),a17))),
% 8.26/8.31 inference(scs_inference,[],[92,487,501,504,507,510,94,350,248,110,30,29,26,25,24,20,19,16,15,14,13,12,10,9,8,6,5,69,85,28,27,23,22,21,17,11,7,70,68,67,80,79])).
% 8.26/8.31 cnf(513,plain,
% 8.26/8.31 (~P4(x5131,f18(a15,a16))),
% 8.26/8.31 inference(rename_variables,[],[92])).
% 8.26/8.31 cnf(517,plain,
% 8.26/8.31 (~P6(x5171,f18(a15,a16),a15)),
% 8.26/8.31 inference(scs_inference,[],[92,487,501,504,507,510,513,94,412,350,248,110,30,29,26,25,24,20,19,16,15,14,13,12,10,9,8,6,5,69,85,28,27,23,22,21,17,11,7,70,68,67,80,79,74,83])).
% 8.26/8.31 cnf(522,plain,
% 8.26/8.31 (~P6(x5221,f18(f6(f2(x5222),x5222),f9(a16,a15)),x5222)),
% 8.26/8.31 inference(scs_inference,[],[92,487,501,504,507,510,513,94,444,412,350,248,110,30,29,26,25,24,20,19,16,15,14,13,12,10,9,8,6,5,69,85,28,27,23,22,21,17,11,7,70,68,67,80,79,74,83,75,35])).
% 8.26/8.31 cnf(523,plain,
% 8.26/8.31 (~P7(f18(a16,f9(a16,a15)),f7(a15,f2(a15)))),
% 8.26/8.31 inference(scs_inference,[],[92,487,501,504,507,510,513,94,444,412,358,350,248,110,30,29,26,25,24,20,19,16,15,14,13,12,10,9,8,6,5,69,85,28,27,23,22,21,17,11,7,70,68,67,80,79,74,83,75,35,61])).
% 8.26/8.31 cnf(525,plain,
% 8.26/8.31 (P5(f2(f9(a16,a15)),f18(a15,a16))),
% 8.26/8.31 inference(scs_inference,[],[92,487,501,504,507,510,513,94,444,412,358,355,350,248,110,30,29,26,25,24,20,19,16,15,14,13,12,10,9,8,6,5,69,85,28,27,23,22,21,17,11,7,70,68,67,80,79,74,83,75,35,61,56])).
% 8.26/8.31 cnf(528,plain,
% 8.26/8.31 (P7(f7(x5281,f2(x5281)),x5281)),
% 8.26/8.31 inference(rename_variables,[],[198])).
% 8.26/8.31 cnf(529,plain,
% 8.26/8.31 (P5(f4(a17,a16),a16)),
% 8.26/8.31 inference(scs_inference,[],[92,487,501,504,507,510,513,94,444,412,358,281,428,355,350,198,248,110,30,29,26,25,24,20,19,16,15,14,13,12,10,9,8,6,5,69,85,28,27,23,22,21,17,11,7,70,68,67,80,79,74,83,75,35,61,56,32,55])).
% 8.26/8.31 cnf(534,plain,
% 8.26/8.31 (P5(f12(f9(a16,a15),f18(a15,a16),a17),f18(f18(a15,a16),x5341))),
% 8.26/8.31 inference(scs_inference,[],[92,487,501,504,507,510,513,94,444,442,410,425,412,358,281,428,355,350,198,248,110,30,29,26,25,24,20,19,16,15,14,13,12,10,9,8,6,5,69,85,28,27,23,22,21,17,11,7,70,68,67,80,79,74,83,75,35,61,56,32,55,2,40,3,39])).
% 8.26/8.31 cnf(535,plain,
% 8.26/8.31 (~E(f4(a17,a16),f2(a15))),
% 8.26/8.31 inference(scs_inference,[],[92,487,501,504,507,510,513,94,444,442,410,279,425,412,358,281,428,355,350,198,248,110,30,29,26,25,24,20,19,16,15,14,13,12,10,9,8,6,5,69,85,28,27,23,22,21,17,11,7,70,68,67,80,79,74,83,75,35,61,56,32,55,2,40,3,39,41])).
% 8.26/8.31 cnf(538,plain,
% 8.26/8.31 (~E(x5381,f11(x5381,f2(x5381)))),
% 8.26/8.31 inference(scs_inference,[],[92,487,501,504,507,510,513,94,444,296,442,410,279,425,412,358,281,428,355,350,209,198,528,248,110,30,29,26,25,24,20,19,16,15,14,13,12,10,9,8,6,5,69,85,28,27,23,22,21,17,11,7,70,68,67,80,79,74,83,75,35,61,56,32,55,2,40,3,39,41,53,33])).
% 8.26/8.31 cnf(540,plain,
% 8.26/8.31 (P4(a17,f6(a17,f9(a16,a15)))),
% 8.26/8.31 inference(scs_inference,[],[92,487,501,504,507,510,513,94,444,296,442,410,279,425,412,430,358,450,281,438,428,355,350,209,198,528,248,110,30,29,26,25,24,20,19,16,15,14,13,12,10,9,8,6,5,69,85,28,27,23,22,21,17,11,7,70,68,67,80,79,74,83,75,35,61,56,32,55,2,40,3,39,41,53,33,82])).
% 8.26/8.31 cnf(555,plain,
% 8.26/8.31 (P7(f7(f9(a16,a15),f2(a16)),f9(a16,a15))),
% 8.26/8.31 inference(scs_inference,[],[224,193,69])).
% 8.26/8.31 cnf(556,plain,
% 8.26/8.31 (~P4(x5561,f9(a16,a15))),
% 8.26/8.31 inference(rename_variables,[],[193])).
% 8.26/8.31 cnf(558,plain,
% 8.26/8.31 (P1(f6(a17,f9(a16,a15)))),
% 8.26/8.31 inference(scs_inference,[],[540,224,193,69,51])).
% 8.26/8.31 cnf(560,plain,
% 8.26/8.31 (P7(f11(f9(a16,a15),f2(a16)),f9(a16,a15))),
% 8.26/8.31 inference(scs_inference,[],[540,224,193,556,69,51,70])).
% 8.26/8.31 cnf(561,plain,
% 8.26/8.31 (~P4(x5611,f9(a16,a15))),
% 8.26/8.31 inference(rename_variables,[],[193])).
% 8.26/8.31 cnf(563,plain,
% 8.26/8.31 (P5(f2(a16),f11(f9(a16,a15),f2(a16)))),
% 8.26/8.31 inference(scs_inference,[],[540,224,193,556,561,69,51,70,68])).
% 8.26/8.31 cnf(564,plain,
% 8.26/8.31 (~P4(x5641,f9(a16,a15))),
% 8.26/8.31 inference(rename_variables,[],[193])).
% 8.26/8.31 cnf(566,plain,
% 8.26/8.31 (P5(f2(a16),f7(f9(a16,a15),f2(a16)))),
% 8.26/8.31 inference(scs_inference,[],[540,224,193,556,561,564,69,51,70,68,67])).
% 8.26/8.31 cnf(567,plain,
% 8.26/8.31 (~P4(x5671,f9(a16,a15))),
% 8.26/8.31 inference(rename_variables,[],[193])).
% 8.26/8.31 cnf(569,plain,
% 8.26/8.31 (~P7(f11(f9(a16,a15),f2(a16)),f7(f9(a16,a15),f2(a16)))),
% 8.26/8.31 inference(scs_inference,[],[540,224,193,556,561,564,567,69,51,70,68,67,80])).
% 8.26/8.31 cnf(570,plain,
% 8.26/8.31 (~P4(x5701,f9(a16,a15))),
% 8.26/8.31 inference(rename_variables,[],[193])).
% 8.26/8.31 cnf(572,plain,
% 8.26/8.31 (~P7(f7(f9(a16,a15),f2(a16)),f11(f9(a16,a15),f2(a16)))),
% 8.26/8.31 inference(scs_inference,[],[540,224,193,556,561,564,567,570,69,51,70,68,67,80,79])).
% 8.26/8.31 cnf(573,plain,
% 8.26/8.31 (~P4(x5731,f9(a16,a15))),
% 8.26/8.31 inference(rename_variables,[],[193])).
% 8.26/8.31 cnf(575,plain,
% 8.26/8.31 (~P6(x5751,f9(a16,a15),f7(a16,f2(a16)))),
% 8.26/8.31 inference(scs_inference,[],[540,227,224,193,556,561,564,567,570,573,69,51,70,68,67,80,79,83])).
% 8.26/8.31 cnf(579,plain,
% 8.26/8.31 (P4(f2(x5791),f6(f2(x5791),x5791))),
% 8.26/8.31 inference(scs_inference,[],[540,227,277,290,224,193,556,561,564,567,570,573,108,69,51,70,68,67,80,79,83,82])).
% 8.26/8.31 cnf(583,plain,
% 8.26/8.31 (~P7(f7(f18(a15,a16),a17),f11(f9(a16,a15),a17))),
% 8.26/8.31 inference(scs_inference,[],[496,512,540,227,277,290,224,193,556,561,564,567,570,573,108,69,51,70,68,67,80,79,83,82,33])).
% 8.26/8.31 cnf(585,plain,
% 8.26/8.31 (P5(f4(a17,a16),a1)),
% 8.26/8.31 inference(scs_inference,[],[496,512,540,529,227,277,290,224,46,193,556,561,564,567,570,573,108,69,51,70,68,67,80,79,83,82,33,61])).
% 8.26/8.31 cnf(589,plain,
% 8.26/8.31 (P1(f6(a17,f18(a15,a16)))),
% 8.26/8.31 inference(scs_inference,[],[496,471,512,540,529,227,277,290,224,46,193,556,561,564,567,570,573,108,412,69,51,70,68,67,80,79,83,82,33,61,56,31])).
% 8.26/8.31 cnf(590,plain,
% 8.26/8.31 (E(f6(x5901,f9(a16,a15)),f6(x5901,f18(a15,a16)))),
% 8.26/8.31 inference(rename_variables,[],[471])).
% 8.26/8.31 cnf(592,plain,
% 8.26/8.31 (P7(f11(f9(a16,a15),a17),f18(a15,a16))),
% 8.26/8.31 inference(scs_inference,[],[48,522,496,471,512,500,540,529,227,168,277,290,224,46,193,556,561,564,567,570,573,108,412,69,51,70,68,67,80,79,83,82,33,61,56,31,35,32])).
% 8.26/8.31 cnf(593,plain,
% 8.26/8.31 (E(f11(f18(a15,a16),x5931),f11(f9(a16,a15),x5931))),
% 8.26/8.31 inference(rename_variables,[],[168])).
% 8.26/8.31 cnf(594,plain,
% 8.26/8.31 (P6(a17,f14(a17,f9(a16,a15)),f6(a17,f18(a15,a16)))),
% 8.26/8.31 inference(scs_inference,[],[48,522,496,471,590,512,500,540,529,227,168,277,290,430,224,46,193,556,561,564,567,570,573,108,412,69,51,70,68,67,80,79,83,82,33,61,56,31,35,32,36])).
% 8.26/8.31 cnf(596,plain,
% 8.26/8.31 (E(f10(f9(a16,a15),f9(a16,a15),x5961),f10(f18(a15,a16),f18(a15,a16),x5961))),
% 8.26/8.31 inference(scs_inference,[],[48,497,522,496,476,471,590,512,500,540,529,227,168,277,290,430,224,46,193,556,561,564,567,570,573,108,412,69,51,70,68,67,80,79,83,82,33,61,56,31,35,32,36,3])).
% 8.26/8.31 cnf(599,plain,
% 8.26/8.31 (E(f12(x5991,f9(a16,a15),f9(a16,a15)),f12(x5991,f18(a15,a16),f18(a15,a16)))),
% 8.26/8.31 inference(scs_inference,[],[48,497,522,496,476,471,590,420,512,500,540,529,227,168,277,290,430,224,46,193,556,561,564,567,570,573,108,412,69,51,70,68,67,80,79,83,82,33,61,56,31,35,32,36,3,2])).
% 8.26/8.31 cnf(602,plain,
% 8.26/8.31 (P5(f12(f18(a15,a16),f18(a15,a16),a17),f18(f18(a15,a16),x6021))),
% 8.26/8.31 inference(scs_inference,[],[48,497,522,496,476,479,471,590,420,512,534,500,540,503,529,227,168,593,277,290,430,224,46,193,556,561,564,567,570,573,108,412,69,51,70,68,67,80,79,83,82,33,61,56,31,35,32,36,3,2,40,39])).
% 8.26/8.31 cnf(604,plain,
% 8.26/8.31 (P5(f12(f9(a16,a15),f18(a15,a16),a17),f18(a15,a16))),
% 8.26/8.31 inference(scs_inference,[],[48,497,522,496,476,479,471,590,484,420,512,534,500,540,503,529,227,168,593,277,290,430,224,46,193,556,561,564,567,570,573,108,412,69,51,70,68,67,80,79,83,82,33,61,56,31,35,32,36,3,2,40,39,66])).
% 8.26/8.31 cnf(608,plain,
% 8.26/8.31 (P5(a17,f6(a17,f18(a15,a16)))),
% 8.26/8.31 inference(scs_inference,[],[48,497,522,496,476,479,471,590,484,420,512,534,500,540,503,529,227,168,593,277,290,430,224,46,193,556,561,564,567,570,573,108,412,69,51,70,68,67,80,79,83,82,33,61,56,31,35,32,36,3,2,40,39,66,74])).
% 8.26/8.31 cnf(620,plain,
% 8.26/8.31 (P4(f13(a15),a15)),
% 8.26/8.31 inference(scs_inference,[],[368,52])).
% 8.26/8.31 cnf(625,plain,
% 8.26/8.31 (~E(f11(f9(a16,a15),f2(a16)),f18(a15,a15))),
% 8.26/8.31 inference(scs_inference,[],[96,563,484,368,292,52,63,66])).
% 8.26/8.31 cnf(627,plain,
% 8.26/8.31 (~P6(x6271,a16,f18(a15,a16))),
% 8.26/8.31 inference(scs_inference,[],[92,96,563,484,368,350,292,52,63,66,82])).
% 8.26/8.31 cnf(630,plain,
% 8.26/8.31 (P4(a17,f14(a17,f9(a16,a15)))),
% 8.26/8.31 inference(scs_inference,[],[92,96,563,594,608,484,450,368,350,292,52,63,66,82,83])).
% 8.26/8.31 cnf(632,plain,
% 8.26/8.31 (P7(f11(f9(a16,a15),a17),f9(a16,a15))),
% 8.26/8.31 inference(scs_inference,[],[92,96,592,563,594,608,484,450,368,350,292,137,52,63,66,82,83,33])).
% 8.26/8.31 cnf(638,plain,
% 8.26/8.32 (P6(a17,f14(a17,f18(a15,a16)),f6(a17,f18(a15,a16)))),
% 8.26/8.32 inference(scs_inference,[],[49,92,96,558,592,563,594,608,473,360,484,450,368,248,350,292,137,52,63,66,82,83,33,56,31,36,35])).
% 8.26/8.32 cnf(639,plain,
% 8.26/8.32 (E(f14(x6391,f9(a16,a15)),f14(x6391,f18(a15,a16)))),
% 8.26/8.32 inference(rename_variables,[],[473])).
% 8.26/8.32 cnf(640,plain,
% 8.26/8.32 (P7(f7(f18(a15,a16),f2(a16)),f9(a16,a15))),
% 8.26/8.32 inference(scs_inference,[],[49,92,96,558,555,592,563,594,608,473,475,360,484,450,368,248,350,292,137,52,63,66,82,83,33,56,31,36,35,32])).
% 8.26/8.32 cnf(642,plain,
% 8.26/8.32 (E(f12(f18(a15,a16),f9(a16,a15),f9(a16,a15)),f12(f9(a16,a15),f18(a15,a16),f18(a15,a16)))),
% 8.26/8.32 inference(scs_inference,[],[49,92,96,599,558,555,592,563,594,608,473,475,176,360,484,450,368,248,350,292,137,52,63,66,82,83,33,56,31,36,35,32,3])).
% 8.26/8.32 cnf(645,plain,
% 8.26/8.32 (~E(f11(x6451,f2(x6451)),x6451)),
% 8.26/8.32 inference(scs_inference,[],[49,92,96,538,599,558,555,592,563,594,608,473,475,176,360,484,450,368,248,350,292,137,52,63,66,82,83,33,56,31,36,35,32,3,2])).
% 8.26/8.32 cnf(647,plain,
% 8.26/8.32 (P6(f13(a15),a15,a16)),
% 8.26/8.32 inference(scs_inference,[],[49,93,92,96,538,599,558,604,555,592,563,594,608,473,475,176,360,484,450,368,248,350,292,48,137,52,63,66,82,83,33,56,31,36,35,32,3,2,40,84])).
% 8.26/8.32 cnf(649,plain,
% 8.26/8.32 (~P3(f6(f2(x6491),x6491))),
% 8.26/8.32 inference(scs_inference,[],[49,93,92,96,538,579,599,558,604,555,592,563,594,608,473,475,176,360,484,450,368,248,350,292,48,137,52,63,66,82,83,33,56,31,36,35,32,3,2,40,84,54])).
% 8.26/8.32 cnf(653,plain,
% 8.26/8.32 (P5(f12(f7(a16,f2(a16)),f9(a16,a15),f2(a16)),f9(a16,a15))),
% 8.26/8.32 inference(scs_inference,[],[49,93,92,96,538,579,599,558,575,604,555,592,563,594,608,473,475,176,360,484,450,227,368,248,350,292,224,48,137,52,63,66,82,83,33,56,31,36,35,32,3,2,40,84,54,57,86])).
% 8.26/8.32 cnf(657,plain,
% 8.26/8.32 (P4(a17,f14(a17,f18(a15,a16)))),
% 8.26/8.32 inference(scs_inference,[],[49,93,92,96,538,579,599,558,575,604,555,592,563,594,608,473,639,475,176,360,484,450,227,368,248,350,292,224,48,137,52,63,66,82,83,33,56,31,36,35,32,3,2,40,84,54,57,86,42])).
% 8.26/8.32 cnf(661,plain,
% 8.26/8.32 (P5(a17,f14(a17,f18(a15,a16)))),
% 8.26/8.32 inference(scs_inference,[],[49,93,92,96,538,579,599,558,575,604,555,592,563,594,608,473,639,475,176,360,484,450,227,368,46,248,352,350,292,224,48,137,52,63,66,82,83,33,56,31,36,35,32,3,2,40,84,54,57,86,42,87,75])).
% 8.26/8.32 cnf(663,plain,
% 8.26/8.32 (~P5(f2(a15),f7(a16,f2(a16)))),
% 8.26/8.32 inference(scs_inference,[],[49,93,92,96,538,579,599,558,575,604,555,592,563,594,608,473,639,475,176,360,484,450,227,368,198,46,248,352,350,212,292,224,48,137,52,63,66,82,83,33,56,31,36,35,32,3,2,40,84,54,57,86,42,87,75,61])).
% 8.26/8.32 cnf(666,plain,
% 8.26/8.32 (~E(f18(a15,a16),f6(f2(x6661),x6661))),
% 8.26/8.32 inference(scs_inference,[],[49,93,92,96,538,579,599,558,575,604,555,592,563,594,608,473,639,475,176,360,484,450,227,368,198,46,248,352,350,212,292,224,48,137,52,63,66,82,83,33,56,31,36,35,32,3,2,40,84,54,57,86,42,87,75,61,43])).
% 8.26/8.32 cnf(668,plain,
% 8.26/8.32 (P5(f12(f18(a15,a16),f18(a15,a16),a17),f18(a15,a16))),
% 8.26/8.32 inference(scs_inference,[],[49,93,92,96,538,579,599,558,575,604,555,592,563,594,608,473,639,475,415,176,360,479,484,450,227,368,217,198,46,248,352,350,212,292,224,48,137,52,63,66,82,83,33,56,31,36,35,32,3,2,40,84,54,57,86,42,87,75,61,43,37,39])).
% 8.26/8.32 cnf(679,plain,
% 8.26/8.32 (~P7(f18(a15,a16),f6(f2(x6791),x6791))),
% 8.26/8.32 inference(scs_inference,[],[666,243])).
% 8.26/8.32 cnf(681,plain,
% 8.26/8.32 (P5(f12(a16,a16,a17),a16)),
% 8.26/8.32 inference(scs_inference,[],[96,666,248,243,85])).
% 8.26/8.32 cnf(682,plain,
% 8.26/8.32 (~P6(x6821,x6822,x6822)),
% 8.26/8.32 inference(rename_variables,[],[248])).
% 8.26/8.32 cnf(691,plain,
% 8.26/8.32 (~P4(f2(a15),f7(a16,f2(a16)))),
% 8.26/8.32 inference(scs_inference,[],[96,666,663,585,647,252,248,682,243,85,86,34,74,55])).
% 8.26/8.32 cnf(695,plain,
% 8.26/8.32 (~E(f14(a17,f9(a16,a15)),f18(a15,a16))),
% 8.26/8.32 inference(scs_inference,[],[92,96,666,663,630,585,647,252,248,682,243,85,86,34,74,55,75,42])).
% 8.26/8.32 cnf(698,plain,
% 8.26/8.32 (P7(f7(f18(a15,a16),f2(a16)),f18(a15,a16))),
% 8.26/8.32 inference(scs_inference,[],[92,96,649,666,640,663,630,585,647,252,163,248,682,110,243,85,86,34,74,55,75,42,43,33])).
% 8.26/8.32 cnf(699,plain,
% 8.26/8.32 (~P2(f2(a15),f7(a16,f2(a16)))),
% 8.26/8.32 inference(scs_inference,[],[92,96,649,666,640,663,630,585,647,252,163,248,682,110,243,85,86,34,74,55,75,42,43,33,56])).
% 8.26/8.32 cnf(702,plain,
% 8.26/8.32 (~P6(x7021,a16,f9(a16,a15))),
% 8.26/8.32 inference(scs_inference,[],[49,92,96,649,666,589,640,663,627,630,585,647,252,163,248,682,110,243,85,86,34,74,55,75,42,43,33,56,31,36])).
% 8.26/8.32 cnf(703,plain,
% 8.26/8.32 (~P7(f7(f18(a15,a16),f2(a16)),f11(f9(a16,a15),f2(a16)))),
% 8.26/8.32 inference(scs_inference,[],[49,92,96,649,666,589,572,640,663,627,630,585,647,252,163,170,248,682,110,243,85,86,34,74,55,75,42,43,33,56,31,36,32])).
% 8.26/8.32 cnf(705,plain,
% 8.26/8.32 (E(f12(f9(a16,a15),f18(a15,a16),f18(a15,a16)),f12(f18(a15,a16),f9(a16,a15),f9(a16,a15)))),
% 8.26/8.32 inference(scs_inference,[],[49,92,96,649,666,642,589,572,640,663,627,630,585,647,252,163,170,248,682,110,243,85,86,34,74,55,75,42,43,33,56,31,36,32,2])).
% 8.26/8.32 cnf(706,plain,
% 8.26/8.32 (~E(f9(a16,a15),f6(f2(x7061),x7061))),
% 8.26/8.32 inference(scs_inference,[],[49,92,96,649,666,642,589,572,640,663,627,630,585,647,252,163,170,248,682,110,137,243,85,86,34,74,55,75,42,43,33,56,31,36,32,2,3])).
% 8.26/8.32 cnf(711,plain,
% 8.26/8.32 (P4(f4(f13(a15),a15),a15)),
% 8.26/8.32 inference(scs_inference,[],[49,92,96,649,666,642,589,572,640,663,627,620,630,585,647,252,163,170,201,248,682,110,137,243,85,86,34,74,55,75,42,43,33,56,31,36,32,2,3,40,58,64])).
% 8.26/8.32 cnf(713,plain,
% 8.26/8.32 (~E(f18(a15,a16),f6(f2(f9(a16,a15)),f18(a15,a16)))),
% 8.26/8.32 inference(scs_inference,[],[49,92,96,649,666,642,589,572,640,663,627,620,630,585,647,252,163,170,201,248,682,110,137,243,85,86,34,74,55,75,42,43,33,56,31,36,32,2,3,40,58,64,112])).
% 8.26/8.32 cnf(720,plain,
% 8.26/8.32 (P5(f2(f9(a16,a15)),f18(f9(a16,a15),x7201))),
% 8.26/8.32 inference(scs_inference,[],[49,92,96,649,666,642,525,589,572,640,663,627,620,630,585,647,485,252,163,170,201,206,209,195,198,248,682,110,137,243,85,86,34,74,55,75,42,43,33,56,31,36,32,2,3,40,58,64,112,81,63])).
% 8.26/8.32 cnf(722,plain,
% 8.26/8.32 (P4(a17,f6(a17,f18(a15,a16)))),
% 8.26/8.32 inference(scs_inference,[],[49,92,96,649,666,642,525,589,572,640,663,627,638,620,630,661,585,647,485,252,163,170,201,608,206,209,195,198,248,682,110,137,243,85,86,34,74,55,75,42,43,33,56,31,36,32,2,3,40,58,64,112,81,63,82])).
% 8.26/8.32 cnf(735,plain,
% 8.26/8.32 (P5(f12(f9(a16,a15),a16,a17),f9(a16,a15))),
% 8.26/8.32 inference(scs_inference,[],[96,702,119,85])).
% 8.26/8.32 cnf(736,plain,
% 8.26/8.32 (~P6(x7361,a16,f9(a16,a15))),
% 8.26/8.32 inference(rename_variables,[],[702])).
% 8.26/8.32 cnf(743,plain,
% 8.26/8.32 (P2(f12(f18(a15,a16),f18(a15,a16),a17),f18(a15,a16))),
% 8.26/8.32 inference(scs_inference,[],[92,94,96,706,702,668,204,485,119,85,53,62,59])).
% 8.26/8.32 cnf(744,plain,
% 8.26/8.32 (~P4(x7441,f18(a15,a16))),
% 8.26/8.32 inference(rename_variables,[],[92])).
% 8.26/8.32 cnf(751,plain,
% 8.26/8.32 (P5(f13(a15),a15)),
% 8.26/8.32 inference(scs_inference,[],[92,94,96,706,702,736,711,668,204,647,485,119,85,53,62,59,86,55,75])).
% 8.26/8.32 cnf(753,plain,
% 8.26/8.32 (P5(f13(a15),a16)),
% 8.26/8.32 inference(scs_inference,[],[92,94,96,706,702,736,711,668,204,647,485,119,85,53,62,59,86,55,75,74])).
% 8.26/8.32 cnf(760,plain,
% 8.26/8.32 (~P7(f18(a15,a16),f6(f2(f18(a15,a16)),f9(a16,a15)))),
% 8.26/8.32 inference(scs_inference,[],[92,94,96,679,706,691,702,736,711,668,204,647,471,485,579,119,137,85,53,62,59,86,55,75,74,38,56,42,33])).
% 8.26/8.32 cnf(763,plain,
% 8.26/8.32 (P6(a17,f14(a17,f18(a15,a16)),f6(a17,f9(a16,a15)))),
% 8.26/8.32 inference(scs_inference,[],[92,94,96,679,706,691,702,736,711,668,204,638,647,471,485,163,579,119,137,85,53,62,59,86,55,75,74,38,56,42,33,36])).
% 8.26/8.32 cnf(765,plain,
% 8.26/8.32 (P2(f12(f9(a16,a15),f18(a15,a16),a17),f18(a15,a16))),
% 8.26/8.32 inference(scs_inference,[],[92,94,96,679,706,691,702,736,711,668,204,638,647,471,485,176,163,579,119,137,85,53,62,59,86,55,75,74,38,56,42,33,36,37])).
% 8.26/8.32 cnf(767,plain,
% 8.26/8.32 (P7(f11(f18(a15,a16),f2(a16)),f9(a16,a15))),
% 8.26/8.32 inference(scs_inference,[],[92,94,96,679,706,691,702,736,711,668,560,204,638,647,496,471,485,176,163,579,119,137,85,53,62,59,86,55,75,74,38,56,42,33,36,37,32])).
% 8.26/8.32 cnf(769,plain,
% 8.26/8.32 (E(f12(f9(a16,a15),f18(a15,a16),f18(a15,a16)),f12(f18(a15,a16),f9(a16,a15),f18(a15,a16)))),
% 8.26/8.32 inference(scs_inference,[],[92,94,96,679,705,706,691,702,736,711,668,560,477,204,638,647,496,471,485,176,163,579,119,137,85,53,62,59,86,55,75,74,38,56,42,33,36,37,32,3])).
% 8.26/8.32 cnf(771,plain,
% 8.26/8.32 (~E(f6(f2(f9(a16,a15)),f18(a15,a16)),f18(a15,a16))),
% 8.26/8.32 inference(scs_inference,[],[92,94,96,679,713,705,706,691,702,736,711,668,560,477,204,638,647,496,471,485,176,163,579,119,137,85,53,62,59,86,55,75,74,38,56,42,33,36,37,32,3,2])).
% 8.26/8.32 cnf(772,plain,
% 8.26/8.32 (P5(f2(f18(a15,a16)),f18(f9(a16,a15),x7721))),
% 8.26/8.32 inference(scs_inference,[],[92,94,96,679,713,705,706,720,691,702,736,711,668,560,477,354,204,638,647,496,471,485,176,163,579,119,137,85,53,62,59,86,55,75,74,38,56,42,33,36,37,32,3,2,39])).
% 8.26/8.32 cnf(773,plain,
% 8.26/8.32 (P5(f2(a16),f7(f18(a15,a16),f2(a16)))),
% 8.26/8.32 inference(scs_inference,[],[92,94,96,679,713,705,706,720,691,566,702,736,711,668,560,477,354,204,638,647,475,496,471,485,176,163,579,119,137,85,53,62,59,86,55,75,74,38,56,42,33,36,37,32,3,2,39,40])).
% 8.26/8.32 cnf(778,plain,
% 8.26/8.32 (~P6(x7781,a15,f18(a15,a16))),
% 8.26/8.32 inference(scs_inference,[],[92,744,94,96,679,713,705,706,720,691,566,702,736,711,668,560,477,354,204,638,647,475,496,471,485,176,163,579,484,119,663,350,137,85,53,62,59,86,55,75,74,38,56,42,33,36,37,32,3,2,39,40,66,82])).
% 8.26/8.32 cnf(785,plain,
% 8.26/8.32 (P1(f11(x7851,f2(x7851)))),
% 8.26/8.32 inference(scs_inference,[],[645,195,53])).
% 8.26/8.32 cnf(789,plain,
% 8.26/8.32 (E(f18(f9(a16,a15),x7891),f18(f18(a15,a16),x7891))),
% 8.26/8.32 inference(rename_variables,[],[485])).
% 8.26/8.32 cnf(791,plain,
% 8.26/8.32 (P2(f12(f9(a16,a15),a16,a17),f9(a16,a15))),
% 8.26/8.32 inference(scs_inference,[],[96,645,735,485,193,195,53,62,59])).
% 8.26/8.32 cnf(794,plain,
% 8.26/8.32 (P5(f2(a16),f18(a15,a16))),
% 8.26/8.32 inference(scs_inference,[],[96,645,698,735,773,485,193,195,53,62,59,61])).
% 8.26/8.32 cnf(796,plain,
% 8.26/8.32 (P4(f13(a15),a16)),
% 8.26/8.32 inference(scs_inference,[],[96,645,698,735,773,751,753,485,647,193,195,53,62,59,61,82])).
% 8.26/8.32 cnf(798,plain,
% 8.26/8.32 (P7(f11(f18(a15,a16),f2(a16)),f18(a15,a16))),
% 8.26/8.32 inference(scs_inference,[],[96,645,698,767,735,773,751,753,485,647,193,195,110,53,62,59,61,82,33])).
% 8.26/8.32 cnf(799,plain,
% 8.26/8.32 (~E(f6(a17,f9(a16,a15)),f14(a17,f18(a15,a16)))),
% 8.26/8.32 inference(scs_inference,[],[96,645,763,698,767,735,773,751,753,485,647,193,195,248,110,53,62,59,61,82,33,36])).
% 8.26/8.32 cnf(800,plain,
% 8.26/8.32 (~P6(x8001,x8002,x8002)),
% 8.26/8.32 inference(rename_variables,[],[248])).
% 8.26/8.32 cnf(801,plain,
% 8.26/8.32 (P7(f7(f9(a16,a15),f2(a16)),f18(a15,a16))),
% 8.26/8.32 inference(scs_inference,[],[96,645,763,698,767,735,773,751,753,170,485,647,193,195,248,110,53,62,59,61,82,33,36,32])).
% 8.26/8.32 cnf(803,plain,
% 8.26/8.32 (E(f12(f18(a15,a16),f9(a16,a15),f18(a15,a16)),f12(f9(a16,a15),f18(a15,a16),f18(a15,a16)))),
% 8.26/8.32 inference(scs_inference,[],[96,645,769,763,698,767,735,773,751,753,170,485,647,193,195,248,110,53,62,59,61,82,33,36,32,2])).
% 8.26/8.32 cnf(804,plain,
% 8.26/8.32 (P5(f12(f7(a16,f2(a16)),f18(a15,a16),f2(a16)),f9(a16,a15))),
% 8.26/8.32 inference(scs_inference,[],[96,645,769,763,698,767,735,773,751,753,653,478,170,485,647,193,195,248,110,53,62,59,61,82,33,36,32,2,39])).
% 8.26/8.32 cnf(810,plain,
% 8.26/8.32 (~E(f6(f2(f9(a16,a15)),f18(a15,a16)),f9(a16,a15))),
% 8.26/8.32 inference(scs_inference,[],[96,645,771,772,769,763,698,767,735,773,751,753,399,653,478,711,170,485,789,647,193,195,248,110,53,62,59,61,82,33,36,32,2,39,40,41,34,3])).
% 8.26/8.32 cnf(811,plain,
% 8.26/8.32 (P4(f12(a15,a15,a17),a15)+P7(f7(a15,f12(a15,a15,a17)),a15)),
% 8.26/8.32 inference(scs_inference,[],[96,645,771,772,769,763,698,767,489,735,773,751,753,399,653,478,711,170,485,789,647,193,195,248,110,53,62,59,61,82,33,36,32,2,39,40,41,34,3,69])).
% 8.26/8.32 cnf(814,plain,
% 8.26/8.32 (P4(f12(a15,a15,a17),a15)+~P7(f11(a15,f12(a15,a15,a17)),f7(a15,f12(a15,a15,a17)))),
% 8.26/8.32 inference(scs_inference,[],[96,645,771,772,769,763,698,767,489,735,773,751,753,399,653,478,711,170,485,789,647,193,195,248,110,53,62,59,61,82,33,36,32,2,39,40,41,34,3,69,141,80])).
% 8.26/8.32 cnf(816,plain,
% 8.26/8.32 (~P4(f12(a15,a15,a17),a15)),
% 8.26/8.32 inference(scs_inference,[],[94,96,645,771,772,769,763,698,767,489,735,773,751,753,399,653,478,711,170,485,789,647,193,195,248,800,110,53,62,59,61,82,33,36,32,2,39,40,41,34,3,69,141,80,91])).
% 8.26/8.32 cnf(819,plain,
% 8.26/8.32 (P1(f14(a17,f18(a15,a16)))),
% 8.26/8.32 inference(scs_inference,[],[94,96,645,771,772,769,763,698,767,489,735,773,657,751,753,399,653,478,711,170,485,789,647,193,195,248,800,110,53,62,59,61,82,33,36,32,2,39,40,41,34,3,69,141,80,91,51])).
% 8.26/8.32 cnf(821,plain,
% 8.26/8.32 (P7(f11(a15,f12(a15,a15,a17)),a15)),
% 8.26/8.32 inference(scs_inference,[],[94,96,645,771,772,769,763,698,767,489,735,773,657,751,753,399,653,478,711,170,485,789,647,193,195,248,800,110,53,62,59,61,82,33,36,32,2,39,40,41,34,3,69,141,80,91,51,70])).
% 8.26/8.32 cnf(823,plain,
% 8.26/8.32 (P5(f12(a15,a15,a17),f11(a15,f12(a15,a15,a17)))),
% 8.26/8.32 inference(scs_inference,[],[94,96,645,771,772,769,763,698,767,489,735,773,657,751,753,399,653,478,711,170,485,789,647,193,195,248,800,110,53,62,59,61,82,33,36,32,2,39,40,41,34,3,69,141,80,91,51,70,68])).
% 8.26/8.32 cnf(825,plain,
% 8.26/8.32 (P5(f12(a15,a15,a17),f7(a15,f12(a15,a15,a17)))),
% 8.26/8.32 inference(scs_inference,[],[94,96,645,771,772,769,763,698,767,489,735,773,657,751,753,399,653,478,711,170,485,789,647,193,195,248,800,110,53,62,59,61,82,33,36,32,2,39,40,41,34,3,69,141,80,91,51,70,68,67])).
% 8.26/8.32 cnf(827,plain,
% 8.26/8.32 (~P7(f7(a15,f12(a15,a15,a17)),f11(a15,f12(a15,a15,a17)))),
% 8.26/8.32 inference(scs_inference,[],[94,96,645,771,772,769,763,698,767,489,735,773,657,751,753,399,653,478,711,170,485,789,647,193,195,248,800,110,53,62,59,61,82,33,36,32,2,39,40,41,34,3,69,141,80,91,51,70,68,67,79])).
% 8.26/8.32 cnf(834,plain,
% 8.26/8.32 (~P7(f11(a15,f12(a15,a15,a17)),f7(a15,f12(a15,a15,a17)))),
% 8.26/8.32 inference(scs_inference,[],[816,814])).
% 8.26/8.32 cnf(836,plain,
% 8.26/8.32 (~P4(x8361,f18(a15,a16))),
% 8.26/8.32 inference(rename_variables,[],[92])).
% 8.26/8.32 cnf(839,plain,
% 8.26/8.32 (~P4(x8391,f18(a15,a16))),
% 8.26/8.32 inference(rename_variables,[],[92])).
% 8.26/8.32 cnf(847,plain,
% 8.26/8.32 (P5(f2(x8471),x8471)),
% 8.26/8.32 inference(rename_variables,[],[100])).
% 8.26/8.32 cnf(850,plain,
% 8.33/8.32 (P5(f2(x8501),x8501)),
% 8.33/8.32 inference(rename_variables,[],[100])).
% 8.33/8.32 cnf(853,plain,
% 8.33/8.32 (P5(f2(x8531),x8531)),
% 8.33/8.32 inference(rename_variables,[],[100])).
% 8.33/8.32 cnf(855,plain,
% 8.33/8.32 (P2(f12(f9(a16,a15),f18(a15,a16),a17),f9(a16,a15))),
% 8.33/8.32 inference(scs_inference,[],[92,836,100,847,850,794,816,765,713,193,119,412,49,137,814,68,79,67,53,63,62,61,38])).
% 8.33/8.32 cnf(856,plain,
% 8.33/8.32 (P1(f14(a17,f9(a16,a15)))),
% 8.33/8.32 inference(scs_inference,[],[92,836,100,847,850,819,794,816,765,165,713,193,119,412,49,137,814,68,79,67,53,63,62,61,38,31])).
% 8.33/8.32 cnf(858,plain,
% 8.33/8.32 (~E(f18(a15,a16),f11(f9(a16,a15),f2(a16)))),
% 8.33/8.32 inference(scs_inference,[],[92,836,100,847,850,819,801,794,816,765,165,713,572,193,119,412,49,137,814,68,79,67,53,63,62,61,38,31,33])).
% 8.33/8.32 cnf(859,plain,
% 8.33/8.32 (~P6(x8591,a15,f9(a16,a15))),
% 8.33/8.32 inference(scs_inference,[],[92,836,100,847,850,819,801,794,778,816,765,165,713,572,193,119,412,49,137,110,814,68,79,67,53,63,62,61,38,31,33,36])).
% 8.33/8.32 cnf(861,plain,
% 8.33/8.32 (~E(f9(a16,a15),f6(f2(f9(a16,a15)),f18(a15,a16)))),
% 8.33/8.32 inference(scs_inference,[],[92,836,100,847,850,810,760,819,801,794,778,816,765,165,713,572,193,119,412,49,137,110,814,68,79,67,53,63,62,61,38,31,33,36,32,2])).
% 8.33/8.32 cnf(862,plain,
% 8.33/8.32 (E(f8(f9(a16,a15),f9(a16,a15)),f8(f18(a15,a16),f18(a15,a16)))),
% 8.33/8.32 inference(scs_inference,[],[92,836,100,847,850,810,760,819,801,794,778,816,765,492,493,165,713,572,193,119,412,49,137,110,814,68,79,67,53,63,62,61,38,31,33,36,32,2,3])).
% 8.33/8.32 cnf(866,plain,
% 8.33/8.32 (P5(f2(x8661),x8661)),
% 8.33/8.32 inference(rename_variables,[],[100])).
% 8.33/8.32 cnf(867,plain,
% 8.33/8.32 (P7(f7(a15,f12(a15,a15,a17)),a15)),
% 8.33/8.32 inference(scs_inference,[],[92,836,100,847,850,853,810,760,819,801,794,778,816,765,492,493,165,713,572,193,119,412,49,137,110,814,68,79,67,53,63,62,61,38,31,33,36,32,2,3,40,811])).
% 8.33/8.32 cnf(868,plain,
% 8.33/8.32 (~P3(a16)),
% 8.33/8.32 inference(scs_inference,[],[92,836,100,847,850,853,810,760,819,801,794,778,816,796,765,492,493,165,713,572,193,119,412,49,137,110,814,68,79,67,53,63,62,61,38,31,33,36,32,2,3,40,811,54])).
% 8.33/8.32 cnf(870,plain,
% 8.33/8.32 (~P2(f13(a15),a16)),
% 8.33/8.32 inference(scs_inference,[],[92,836,100,847,850,853,810,760,819,801,794,778,816,796,765,492,493,165,713,572,193,119,412,49,137,110,814,68,79,67,53,63,62,61,38,31,33,36,32,2,3,40,811,54,57])).
% 8.33/8.32 cnf(878,plain,
% 8.33/8.32 (~E(a16,f18(a15,a16))),
% 8.33/8.32 inference(scs_inference,[],[92,836,839,100,847,850,853,866,98,810,760,819,801,794,778,816,796,765,517,492,493,165,713,572,193,119,412,49,137,110,814,68,79,67,53,63,62,61,38,31,33,36,32,2,3,40,811,54,57,85,41,42])).
% 8.33/8.32 cnf(882,plain,
% 8.33/8.32 (~P5(f10(a16,a15,a15),a15)),
% 8.33/8.32 inference(scs_inference,[],[92,836,839,100,847,850,853,866,98,810,760,819,801,409,794,778,816,796,765,517,492,493,165,713,572,193,119,412,49,47,137,110,814,68,79,67,53,63,62,61,38,31,33,36,32,2,3,40,811,54,57,85,41,42,37,89])).
% 8.33/8.32 cnf(884,plain,
% 8.33/8.32 (~P5(f10(a16,a15,a16),a16)),
% 8.33/8.32 inference(scs_inference,[],[92,836,839,100,847,850,853,866,98,810,760,819,801,409,794,778,816,796,765,517,492,493,165,713,572,193,119,412,49,47,137,110,814,68,79,67,53,63,62,61,38,31,33,36,32,2,3,40,811,54,57,85,41,42,37,89,90])).
% 8.33/8.32 cnf(886,plain,
% 8.33/8.32 (P5(f10(a16,a15,a15),a16)),
% 8.33/8.32 inference(scs_inference,[],[92,836,839,100,847,850,853,866,98,810,760,819,801,409,794,778,816,796,765,517,492,493,165,713,572,193,119,412,49,47,137,110,814,68,79,67,53,63,62,61,38,31,33,36,32,2,3,40,811,54,57,85,41,42,37,89,90,88])).
% 8.33/8.32 cnf(888,plain,
% 8.33/8.32 (P4(f3(a16),a16)),
% 8.33/8.32 inference(scs_inference,[],[92,836,839,100,847,850,853,866,98,810,760,819,801,409,794,778,816,796,765,517,492,493,165,713,572,193,119,412,49,47,137,110,814,68,79,67,53,63,62,61,38,31,33,36,32,2,3,40,811,54,57,85,41,42,37,89,90,88,50])).
% 8.33/8.32 cnf(892,plain,
% 8.33/8.32 (~P6(f10(a16,a15,a15),a15,x8921)),
% 8.33/8.32 inference(scs_inference,[],[92,836,839,100,847,850,853,866,98,810,760,819,801,409,794,778,681,816,796,765,517,492,493,165,713,572,193,119,412,49,47,137,110,814,68,79,67,53,63,62,61,38,31,33,36,32,2,3,40,811,54,57,85,41,42,37,89,90,88,50,70,75])).
% 8.33/8.32 cnf(894,plain,
% 8.33/8.32 (~P4(f10(a16,a15,a15),a15)),
% 8.33/8.32 inference(scs_inference,[],[92,836,839,100,847,850,853,866,98,810,760,819,801,409,794,778,681,816,796,765,517,492,493,165,713,572,193,119,412,49,47,137,110,814,68,79,67,53,63,62,61,38,31,33,36,32,2,3,40,811,54,57,85,41,42,37,89,90,88,50,70,75,55])).
% 8.33/8.32 cnf(899,plain,
% 8.33/8.32 (~P2(f10(a16,a15,a15),a15)),
% 8.33/8.32 inference(scs_inference,[],[92,836,839,100,847,850,853,866,98,810,760,803,819,801,409,794,703,778,681,816,796,765,517,492,493,165,713,569,572,698,193,119,412,49,47,137,110,814,68,79,67,53,63,62,61,38,31,33,36,32,2,3,40,811,54,57,85,41,42,37,89,90,88,50,70,75,55,74,87,43,56])).
% 8.33/8.32 cnf(903,plain,
% 8.33/8.32 (P5(f10(a16,a15,a16),a15)),
% 8.33/8.32 inference(scs_inference,[],[878,884,88])).
% 8.33/8.32 cnf(908,plain,
% 8.33/8.32 (P5(f2(x9081),x9081)),
% 8.33/8.32 inference(rename_variables,[],[100])).
% 8.33/8.32 cnf(912,plain,
% 8.33/8.32 (P5(f3(a16),a16)),
% 8.33/8.32 inference(scs_inference,[],[100,861,878,884,888,825,204,816,184,489,88,83,63,53,55])).
% 8.33/8.32 cnf(914,plain,
% 8.33/8.32 (P5(f2(x9141),f18(f18(a15,a16),x9141))),
% 8.33/8.32 inference(scs_inference,[],[100,908,861,878,884,888,825,204,816,184,489,88,83,63,53,55,62])).
% 8.33/8.32 cnf(915,plain,
% 8.33/8.32 (E(f18(f18(a15,a16),x9151),f18(f9(a16,a15),x9151))),
% 8.33/8.32 inference(rename_variables,[],[184])).
% 8.33/8.32 cnf(917,plain,
% 8.33/8.32 (~P5(f10(a16,a15,a15),f11(a15,f12(a15,a15,a17)))),
% 8.33/8.32 inference(scs_inference,[],[100,908,861,878,821,882,884,888,825,204,816,184,489,88,83,63,53,55,62,61])).
% 8.33/8.32 cnf(923,plain,
% 8.33/8.32 (~E(f11(x9231,f2(x9231)),f9(a16,a15))),
% 8.33/8.32 inference(scs_inference,[],[100,908,785,861,878,821,882,884,888,825,699,444,204,816,184,647,489,47,88,83,63,53,55,62,61,38,35,31])).
% 8.33/8.32 cnf(925,plain,
% 8.33/8.32 (P2(f12(f9(a16,a15),f9(a16,a15),a17),f9(a16,a15))),
% 8.33/8.32 inference(scs_inference,[],[100,908,785,861,855,827,878,821,867,882,884,888,825,699,444,204,175,816,184,647,489,47,88,83,63,53,55,62,61,38,35,31,33,37])).
% 8.33/8.32 cnf(927,plain,
% 8.33/8.32 (P7(f11(f9(a16,a15),f2(a16)),f18(a15,a16))),
% 8.33/8.32 inference(scs_inference,[],[100,908,785,861,855,798,827,878,821,867,882,884,888,825,699,444,204,175,168,816,184,647,489,47,88,83,63,53,55,62,61,38,35,31,33,37,32])).
% 8.33/8.32 cnf(931,plain,
% 8.33/8.32 (~E(f14(a17,f18(a15,a16)),f18(a15,a16))),
% 8.33/8.32 inference(scs_inference,[],[100,908,94,785,862,861,695,855,798,827,878,821,867,882,884,888,825,699,444,473,204,175,168,816,184,647,489,47,88,83,63,53,55,62,61,38,35,31,33,37,32,39,2,3])).
% 8.33/8.32 cnf(933,plain,
% 8.33/8.32 (~P7(f18(a15,a16),f11(f9(a16,a15),f2(a16)))),
% 8.33/8.32 inference(scs_inference,[],[100,908,94,785,862,861,695,855,858,798,827,878,821,867,882,884,888,825,699,444,473,204,175,168,816,184,647,489,47,88,83,63,53,55,62,61,38,35,31,33,37,32,39,2,3,243])).
% 8.33/8.32 cnf(935,plain,
% 8.33/8.32 (~E(f4(f3(a16),a16),f3(a16))),
% 8.33/8.32 inference(scs_inference,[],[100,908,94,785,862,861,695,855,858,798,827,878,821,867,882,884,888,825,699,444,473,204,175,168,816,184,647,489,47,88,83,63,53,55,62,61,38,35,31,33,37,32,39,2,3,243,58])).
% 8.33/8.32 cnf(937,plain,
% 8.33/8.32 (P4(f4(f3(a16),a16),a16)),
% 8.33/8.32 inference(scs_inference,[],[100,908,94,785,862,861,695,855,858,798,827,878,821,867,882,884,888,825,699,444,473,204,175,168,816,184,647,489,47,88,83,63,53,55,62,61,38,35,31,33,37,32,39,2,3,243,58,64])).
% 8.33/8.32 cnf(939,plain,
% 8.33/8.32 (~E(f18(a15,a16),a16)),
% 8.33/8.32 inference(scs_inference,[],[100,908,94,785,862,861,695,855,858,798,827,878,821,867,882,884,888,868,825,699,444,473,204,175,168,816,184,647,489,47,88,83,63,53,55,62,61,38,35,31,33,37,32,39,2,3,243,58,64,112])).
% 8.33/8.32 cnf(943,plain,
% 8.33/8.32 (P5(f12(f7(a16,f2(a16)),f18(a15,a16),f2(a16)),f18(a15,a16))),
% 8.33/8.32 inference(scs_inference,[],[100,908,94,785,862,861,695,855,858,798,827,804,878,821,867,882,884,888,868,825,699,444,473,204,175,168,816,184,915,647,489,47,110,88,83,63,53,55,62,61,38,35,31,33,37,32,39,2,3,243,58,64,112,66,40])).
% 8.33/8.32 cnf(947,plain,
% 8.33/8.32 (~P4(f12(x9471,x9471,f2(x9471)),x9471)),
% 8.33/8.32 inference(scs_inference,[],[100,248,91])).
% 8.33/8.32 cnf(949,plain,
% 8.33/8.32 (P5(f2(x9491),x9491)),
% 8.33/8.32 inference(rename_variables,[],[100])).
% 8.33/8.32 cnf(952,plain,
% 8.33/8.32 (~E(a15,f18(a16,a16))),
% 8.33/8.32 inference(scs_inference,[],[100,903,884,248,91,66])).
% 8.33/8.32 cnf(958,plain,
% 8.33/8.32 (P5(f2(x9581),x9581)),
% 8.33/8.32 inference(rename_variables,[],[100])).
% 8.33/8.32 cnf(962,plain,
% 8.33/8.32 (P5(f2(a15),a1)),
% 8.33/8.32 inference(scs_inference,[],[100,949,958,917,903,884,484,45,663,248,91,66,63,62,55,61])).
% 8.33/8.32 cnf(963,plain,
% 8.33/8.32 (P5(f2(x9631),x9631)),
% 8.33/8.32 inference(rename_variables,[],[100])).
% 8.33/8.32 cnf(967,plain,
% 8.33/8.32 (P2(f12(f18(a15,a16),f9(a16,a15),a17),f18(a15,a16))),
% 8.33/8.32 inference(scs_inference,[],[100,949,958,925,917,903,743,884,368,175,204,484,45,663,248,110,91,66,63,62,55,61,38,31,37])).
% 8.33/8.32 cnf(968,plain,
% 8.33/8.32 (E(f12(x9681,f18(a15,a16),x9682),f12(x9681,f9(a16,a15),x9682))),
% 8.33/8.32 inference(rename_variables,[],[175])).
% 8.33/8.32 cnf(972,plain,
% 8.33/8.32 (~E(f11(x9721,f2(x9721)),f18(a15,a16))),
% 8.33/8.32 inference(scs_inference,[],[100,949,958,923,925,917,943,903,743,867,345,884,368,175,968,204,484,45,663,248,137,110,91,66,63,62,55,61,38,31,37,32,39,3])).
% 8.33/8.32 cnf(973,plain,
% 8.33/8.32 (~E(f9(a16,a15),f11(x9731,f2(x9731)))),
% 8.33/8.32 inference(scs_inference,[],[100,949,958,923,925,917,943,903,743,867,345,884,368,175,968,204,484,45,663,248,137,110,91,66,63,62,55,61,38,31,37,32,39,3,2])).
% 8.33/8.32 cnf(979,plain,
% 8.33/8.32 (P4(f2(x9791),f14(f2(x9791),x9791))),
% 8.33/8.32 inference(scs_inference,[],[100,949,958,963,923,925,917,943,886,903,743,867,345,884,517,277,290,368,175,968,204,484,45,108,663,248,137,110,91,66,63,62,55,61,38,31,37,32,39,3,2,40,86,83])).
% 8.33/8.32 cnf(985,plain,
% 8.33/8.32 (~P7(f18(a15,a16),a16)),
% 8.33/8.32 inference(scs_inference,[],[100,949,958,963,923,925,917,943,939,892,886,903,743,867,345,884,517,277,290,368,175,968,204,484,45,108,647,663,248,49,137,110,91,66,63,62,55,61,38,31,37,32,39,3,2,40,86,83,34,53])).
% 8.33/8.32 cnf(993,plain,
% 8.33/8.32 (~P5(f5(f18(a15,a16),a16),a16)),
% 8.33/8.32 inference(scs_inference,[],[985,71])).
% 8.33/8.32 cnf(995,plain,
% 8.33/8.32 (P5(f12(x9951,x9951,f2(x9951)),x9951)),
% 8.33/8.32 inference(scs_inference,[],[100,985,248,71,85])).
% 8.33/8.32 cnf(997,plain,
% 8.33/8.32 (P5(f2(x9971),x9971)),
% 8.33/8.32 inference(rename_variables,[],[100])).
% 8.33/8.32 cnf(998,plain,
% 8.33/8.32 (~P6(x9981,x9982,x9982)),
% 8.33/8.32 inference(rename_variables,[],[248])).
% 8.33/8.32 cnf(1007,plain,
% 8.33/8.32 (P5(f4(f3(a16),a16),a16)),
% 8.33/8.32 inference(scs_inference,[],[100,985,912,937,886,917,248,998,71,85,86,63,62,55])).
% 8.33/8.32 cnf(1010,plain,
% 8.33/8.32 (P5(f2(x10101),x10101)),
% 8.33/8.32 inference(rename_variables,[],[100])).
% 8.33/8.32 cnf(1015,plain,
% 8.33/8.32 (P4(f2(x10151),f14(f2(x10151),x10151))),
% 8.33/8.32 inference(rename_variables,[],[979])).
% 8.33/8.32 cnf(1019,plain,
% 8.33/8.32 (P2(f12(f9(a16,a15),a16,a17),f18(a15,a16))),
% 8.33/8.32 inference(scs_inference,[],[100,997,979,985,912,937,239,791,886,691,917,108,663,248,998,110,71,85,86,63,62,55,61,56,42,35,38])).
% 8.33/8.32 cnf(1020,plain,
% 8.33/8.32 (~P7(f9(a16,a15),f11(f9(a16,a15),f2(a16)))),
% 8.33/8.32 inference(scs_inference,[],[100,997,979,933,985,912,937,239,791,886,691,917,108,663,248,998,110,71,85,86,63,62,55,61,56,42,35,38,32])).
% 8.33/8.32 cnf(1021,plain,
% 8.33/8.32 (E(f10(f18(a15,a16),f18(a15,a16),x10211),f10(f9(a16,a15),f9(a16,a15),x10211))),
% 8.33/8.32 inference(scs_inference,[],[100,997,979,933,985,912,937,239,791,596,886,691,917,108,663,248,998,110,71,85,86,63,62,55,61,56,42,35,38,32,2])).
% 8.33/8.32 cnf(1024,plain,
% 8.33/8.32 (E(f5(f9(a16,a15),f9(a16,a15)),f5(f18(a15,a16),f18(a15,a16)))),
% 8.33/8.32 inference(scs_inference,[],[100,997,1010,979,933,985,912,937,239,791,596,498,480,886,691,917,884,108,663,248,998,110,71,85,86,63,62,55,61,56,42,35,38,32,2,39,3])).
% 8.33/8.32 cnf(1027,plain,
% 8.33/8.32 (P1(f14(f2(x10271),x10271))),
% 8.33/8.32 inference(scs_inference,[],[100,997,1010,979,1015,933,985,912,937,239,791,596,498,480,886,691,917,884,108,663,248,998,110,71,85,86,63,62,55,61,56,42,35,38,32,2,39,3,51])).
% 8.33/8.32 cnf(1033,plain,
% 8.33/8.32 (~P6(x10331,f9(a16,a15),a15)),
% 8.33/8.32 inference(scs_inference,[],[100,997,1010,94,979,1015,914,933,985,912,937,239,791,596,498,480,886,691,917,884,193,119,108,663,248,998,110,71,85,86,63,62,55,61,56,42,35,38,32,2,39,3,51,75,59,83])).
% 8.33/8.32 cnf(1053,plain,
% 8.33/8.32 (P5(f12(f9(a16,a15),a15,a17),f9(a16,a15))),
% 8.33/8.32 inference(scs_inference,[],[94,859,119,85])).
% 8.33/8.32 cnf(1054,plain,
% 8.33/8.32 (~P6(x10541,a15,f9(a16,a15))),
% 8.33/8.32 inference(rename_variables,[],[859])).
% 8.33/8.32 cnf(1056,plain,
% 8.33/8.32 (P5(f12(f9(a16,a15),a15,a17),a15)),
% 8.33/8.32 inference(scs_inference,[],[94,859,1054,119,85,86])).
% 8.33/8.32 cnf(1059,plain,
% 8.33/8.32 (P2(f12(x10591,x10591,f2(x10591)),x10591)),
% 8.33/8.32 inference(scs_inference,[],[94,947,995,859,1054,119,85,86,59])).
% 8.33/8.32 cnf(1063,plain,
% 8.33/8.32 (~E(f9(a16,a15),a16)),
% 8.33/8.32 inference(scs_inference,[],[94,104,947,995,859,1054,287,868,156,119,85,86,59,41,43])).
% 8.33/8.32 cnf(1064,plain,
% 8.33/8.32 (P5(a17,f18(a15,f9(a16,a15)))),
% 8.33/8.32 inference(scs_inference,[],[94,104,947,995,859,1054,287,868,156,484,119,85,86,59,41,43,63])).
% 8.33/8.32 cnf(1065,plain,
% 8.33/8.32 (E(f18(x10651,f9(a16,a15)),f18(x10651,f18(a15,a16)))),
% 8.33/8.32 inference(rename_variables,[],[484])).
% 8.33/8.32 cnf(1067,plain,
% 8.33/8.32 (~P6(x10671,f11(a15,f12(a15,a15,a17)),a15)),
% 8.33/8.32 inference(scs_inference,[],[94,104,947,995,823,859,1054,287,868,156,816,484,489,119,85,86,59,41,43,63,82])).
% 8.33/8.32 cnf(1069,plain,
% 8.33/8.32 (P5(f2(f18(a15,a16)),f18(x10691,f9(a16,a15)))),
% 8.33/8.32 inference(scs_inference,[],[94,104,100,947,995,823,859,1054,287,868,156,816,484,1065,489,119,85,86,59,41,43,63,82,62])).
% 8.33/8.32 cnf(1074,plain,
% 8.33/8.32 (~P4(f5(f18(a15,a16),a16),a16)),
% 8.33/8.32 inference(scs_inference,[],[94,104,100,947,995,973,993,823,859,1054,287,868,156,816,204,484,1065,489,119,85,86,59,41,43,63,82,62,53,55])).
% 8.33/8.32 cnf(1076,plain,
% 8.33/8.32 (P5(f12(f9(a16,a15),a16,a17),f18(a15,a16))),
% 8.33/8.32 inference(scs_inference,[],[94,104,100,947,995,973,1019,993,823,859,1054,287,868,156,816,204,484,1065,489,119,85,86,59,41,43,63,82,62,53,55,56])).
% 8.33/8.32 cnf(1078,plain,
% 8.33/8.32 (P1(f14(f2(f18(a15,a16)),f9(a16,a15)))),
% 8.33/8.32 inference(scs_inference,[],[94,104,100,947,995,1027,973,1019,993,823,859,1054,287,868,165,156,816,204,484,1065,489,119,85,86,59,41,43,63,82,62,53,55,56,31])).
% 8.33/8.32 cnf(1081,plain,
% 8.33/8.32 (P2(f12(f18(a15,a16),a16,a17),f18(a15,a16))),
% 8.33/8.32 inference(scs_inference,[],[94,104,100,947,995,1027,973,1019,993,823,859,1054,287,868,165,156,479,816,204,484,1065,489,119,85,86,59,41,43,63,82,62,53,55,56,31,37])).
% 8.33/8.32 cnf(1083,plain,
% 8.33/8.32 (P7(f7(f9(a16,a15),a17),f18(a15,a16))),
% 8.33/8.32 inference(scs_inference,[],[94,104,100,947,995,1027,973,1019,993,823,859,1054,287,486,868,165,156,479,170,816,204,484,1065,489,119,85,86,59,41,43,63,82,62,53,55,56,31,37,32])).
% 8.33/8.32 cnf(1085,plain,
% 8.33/8.32 (~E(f18(a15,a16),f11(x10851,f2(x10851)))),
% 8.33/8.32 inference(scs_inference,[],[94,104,100,947,995,1027,972,973,1019,993,823,859,1054,287,486,868,165,156,479,170,816,204,484,1065,489,119,85,86,59,41,43,63,82,62,53,55,56,31,37,32,2])).
% 8.33/8.32 cnf(1087,plain,
% 8.33/8.32 (~E(f6(a17,f18(a15,a16)),f14(a17,f18(a15,a16)))),
% 8.33/8.32 inference(scs_inference,[],[94,104,100,96,947,995,1027,972,973,799,1019,993,823,859,1054,287,486,868,165,156,479,471,170,816,204,484,1065,489,119,85,86,59,41,43,63,82,62,53,55,56,31,37,32,2,39,3])).
% 8.33/8.32 cnf(1089,plain,
% 8.33/8.32 (~P3(a1)),
% 8.33/8.32 inference(scs_inference,[],[94,104,100,96,947,995,1027,972,973,799,1019,993,823,859,1054,287,486,868,165,156,479,471,170,816,204,484,1065,489,119,85,86,59,41,43,63,82,62,53,55,56,31,37,32,2,39,3,54])).
% 8.33/8.32 cnf(1091,plain,
% 8.33/8.32 (~P2(f13(a1),a1)),
% 8.33/8.32 inference(scs_inference,[],[94,104,102,100,96,947,995,1027,972,973,799,1019,993,823,859,1054,287,486,868,165,156,479,471,170,816,204,484,1065,489,119,85,86,59,41,43,63,82,62,53,55,56,31,37,32,2,39,3,54,57])).
% 8.33/8.32 cnf(1108,plain,
% 8.33/8.32 (~P7(f18(a15,a16),a1)),
% 8.33/8.32 inference(scs_inference,[],[1089,256])).
% 8.33/8.32 cnf(1109,plain,
% 8.33/8.32 (P4(f3(a1),a1)),
% 8.33/8.32 inference(scs_inference,[],[1089,50])).
% 8.33/8.32 cnf(1112,plain,
% 8.33/8.32 (E(f5(f9(a16,a15),x11121),f5(f18(a15,a16),x11121))),
% 8.33/8.32 inference(rename_variables,[],[498])).
% 8.33/8.32 cnf(1113,plain,
% 8.33/8.32 (~P5(f2(a16),f11(a15,f12(a15,a15,a17)))),
% 8.33/8.32 inference(scs_inference,[],[1074,1089,821,498,292,50,41,61])).
% 8.33/8.32 cnf(1115,plain,
% 8.33/8.32 (P5(f12(f9(a16,a15),a16,a17),f18(f9(a16,a15),f18(a15,a16)))),
% 8.33/8.32 inference(scs_inference,[],[1076,1074,1089,821,498,485,292,50,41,61,62])).
% 8.33/8.32 cnf(1120,plain,
% 8.33/8.32 (P5(f3(a1),a1)),
% 8.33/8.32 inference(scs_inference,[],[1085,1076,1074,1089,821,498,485,292,49,50,41,61,62,53,55])).
% 8.33/8.32 cnf(1122,plain,
% 8.33/8.32 (~P2(f5(f18(a15,a16),a16),a16)),
% 8.33/8.32 inference(scs_inference,[],[1085,1076,1074,1089,821,498,993,485,292,49,50,41,61,62,53,55,56])).
% 8.33/8.32 cnf(1125,plain,
% 8.33/8.32 (P2(f12(f18(a15,a16),a16,a17),f9(a16,a15))),
% 8.33/8.32 inference(scs_inference,[],[1085,1083,1076,1081,1074,1089,821,498,993,485,292,49,137,50,41,61,62,53,55,56,33,38])).
% 8.33/8.32 cnf(1129,plain,
% 8.33/8.32 (~E(f14(f2(f18(a15,a16)),f9(a16,a15)),f9(a16,a15))),
% 8.33/8.32 inference(scs_inference,[],[1085,1078,1083,1076,1081,1074,1089,821,252,498,993,485,204,108,292,49,137,50,41,61,62,53,55,56,33,38,36,31])).
% 8.33/8.32 cnf(1134,plain,
% 8.33/8.32 (~P5(f5(f9(a16,a15),a16),a16)),
% 8.33/8.32 inference(scs_inference,[],[1059,1085,1078,1083,1076,1081,1091,1074,1089,1024,821,252,498,1112,345,993,485,204,108,292,49,137,50,41,61,62,53,55,56,33,38,36,31,37,32,2,39])).
% 8.33/8.32 cnf(1136,plain,
% 8.33/8.32 (~E(f14(a17,f18(a15,a16)),f9(a16,a15))),
% 8.33/8.32 inference(scs_inference,[],[1059,1085,931,1078,1083,1076,1081,1091,1074,1089,1024,821,252,498,1112,345,993,485,204,108,292,49,137,110,50,41,61,62,53,55,56,33,38,36,31,37,32,2,39,3])).
% 8.33/8.32 cnf(1142,plain,
% 8.33/8.32 (P6(f4(f13(a15),a15),a15,a16)),
% 8.33/8.32 inference(scs_inference,[],[1059,1085,931,1078,1083,1076,1081,535,1091,1074,357,426,1089,1024,979,821,252,498,1112,345,711,348,993,156,485,204,108,647,292,49,137,110,50,41,61,62,53,55,56,33,38,36,31,37,32,2,39,3,65,58,84])).
% 8.33/8.32 cnf(1144,plain,
% 8.33/8.32 (P4(f4(a17,a15),a15)),
% 8.33/8.32 inference(scs_inference,[],[1059,1085,931,1078,1083,1076,1081,535,1091,1074,357,426,1089,1024,979,821,252,498,1112,345,711,348,993,156,485,204,108,647,292,49,137,110,50,41,61,62,53,55,56,33,38,36,31,37,32,2,39,3,65,58,84,64])).
% 8.33/8.32 cnf(1147,plain,
% 8.33/8.32 (P5(f4(f13(a15),a15),a16)),
% 8.33/8.32 inference(scs_inference,[],[1059,1085,931,1078,1083,1076,1081,535,1091,1074,357,426,1089,1024,979,821,252,498,1112,345,711,348,993,156,485,204,108,647,292,49,137,110,50,41,61,62,53,55,56,33,38,36,31,37,32,2,39,3,65,58,84,64,112,74])).
% 8.33/8.32 cnf(1159,plain,
% 8.33/8.32 (~P6(f5(f9(a16,a15),a16),x11591,a16)),
% 8.33/8.32 inference(scs_inference,[],[1134,74])).
% 8.33/8.32 cnf(1161,plain,
% 8.33/8.32 (P5(f2(a15),f9(a16,a15))),
% 8.33/8.32 inference(scs_inference,[],[100,1134,110,74,63])).
% 8.33/8.32 cnf(1168,plain,
% 8.33/8.32 (~E(a16,f18(x11681,a15))),
% 8.33/8.32 inference(scs_inference,[],[100,98,1134,1109,903,886,884,882,110,74,63,41,66,62])).
% 8.33/8.32 cnf(1170,plain,
% 8.33/8.32 (~P4(f2(a16),f11(a15,f12(a15,a15,a17)))),
% 8.33/8.32 inference(scs_inference,[],[100,98,1134,1113,1109,903,886,884,882,110,74,63,41,66,62,55])).
% 8.33/8.32 cnf(1174,plain,
% 8.33/8.32 (~E(f18(a15,a16),f7(f9(a16,a15),f2(a16)))),
% 8.33/8.32 inference(scs_inference,[],[100,98,1134,1125,1113,1109,927,903,569,886,884,882,110,74,63,41,66,62,55,56,33])).
% 8.33/8.32 cnf(1175,plain,
% 8.33/8.32 (P1(f14(f2(f9(a16,a15)),f18(a15,a16)))),
% 8.33/8.32 inference(scs_inference,[],[100,98,1134,1125,1113,1109,1027,927,903,569,473,886,884,882,110,74,63,41,66,62,55,56,33,31])).
% 8.33/8.32 cnf(1176,plain,
% 8.33/8.32 (~P2(f5(f9(a16,a15),a16),a16)),
% 8.33/8.32 inference(scs_inference,[],[100,98,1134,1125,1113,1109,1122,1027,927,903,569,498,473,886,884,882,110,74,63,41,66,62,55,56,33,31,37])).
% 8.33/8.32 cnf(1178,plain,
% 8.33/8.32 (~P7(f9(a16,a15),a1)),
% 8.33/8.32 inference(scs_inference,[],[100,98,1108,1134,1125,1113,1109,1122,1027,927,903,569,498,473,886,884,882,110,74,63,41,66,62,55,56,33,31,37,32])).
% 8.33/8.32 cnf(1179,plain,
% 8.33/8.32 (~E(f9(a16,a15),f14(a17,f18(a15,a16)))),
% 8.33/8.32 inference(scs_inference,[],[100,98,1136,1108,1134,1125,1113,1109,1122,1027,927,903,569,498,473,886,884,882,110,74,63,41,66,62,55,56,33,31,37,32,2])).
% 8.33/8.32 cnf(1184,plain,
% 8.33/8.32 (P5(f5(f18(a15,a16),a1),f18(a15,a16))),
% 8.33/8.32 inference(scs_inference,[],[96,100,98,1136,1108,1134,1125,1113,1109,1122,469,470,1027,927,903,569,498,473,886,884,882,110,74,63,41,66,62,55,56,33,31,37,32,2,39,3,60])).
% 8.33/8.32 cnf(1227,plain,
% 8.33/8.32 (~P4(f5(f9(a16,a15),a16),a15)),
% 8.33/8.32 inference(scs_inference,[],[1159,1142,156,110,84])).
% 8.33/8.32 cnf(1228,plain,
% 8.33/8.32 (~P6(f5(f9(a16,a15),a16),x12281,a16)),
% 8.33/8.32 inference(rename_variables,[],[1159])).
% 8.33/8.32 cnf(1230,plain,
% 8.33/8.32 (P7(f11(f9(a16,a15),f2(a15)),f9(a16,a15))),
% 8.33/8.32 inference(scs_inference,[],[1161,1159,1142,156,193,110,84,70])).
% 8.33/8.32 cnf(1233,plain,
% 8.33/8.32 (~P5(f12(a15,a15,f2(a15)),a16)),
% 8.33/8.32 inference(scs_inference,[],[1161,1159,1142,947,995,156,193,110,84,70,83])).
% 8.33/8.32 cnf(1239,plain,
% 8.33/8.32 (~P6(f5(f18(a15,a16),a16),x12391,a16)),
% 8.33/8.32 inference(scs_inference,[],[1161,1159,1228,1142,178,947,995,903,884,156,193,110,84,70,83,63,34])).
% 8.33/8.32 cnf(1245,plain,
% 8.33/8.32 (P5(f4(a17,a15),a15)),
% 8.33/8.32 inference(scs_inference,[],[96,1161,1159,1228,1142,894,178,947,995,1144,903,884,156,184,193,110,84,70,83,63,34,41,62,55])).
% 8.33/8.32 cnf(1251,plain,
% 8.33/8.32 (~E(f14(f2(x12511),x12511),x12511)),
% 8.33/8.32 inference(scs_inference,[],[96,98,1179,1161,1159,1228,1142,894,178,947,995,1113,1144,979,903,884,156,184,204,193,110,84,70,83,63,34,41,62,55,53,56,42])).
% 8.33/8.32 cnf(1253,plain,
% 8.33/8.32 (~P7(f9(a16,a15),f11(f18(a15,a16),f2(a16)))),
% 8.33/8.32 inference(scs_inference,[],[96,98,1179,1020,1161,1159,1228,1142,894,178,947,995,1113,1144,979,903,168,884,156,184,204,193,110,84,70,83,63,34,41,62,55,53,56,42,33])).
% 8.33/8.32 cnf(1257,plain,
% 8.33/8.32 (P5(f12(f9(a16,a15),a16,a17),f18(f18(a15,a16),f18(a15,a16)))),
% 8.33/8.32 inference(scs_inference,[],[96,98,1179,1020,1115,1161,1159,1228,1176,1142,894,178,947,995,1113,1144,1059,979,903,168,884,156,485,184,204,193,110,84,70,83,63,34,41,62,55,53,56,42,33,37,40])).
% 8.33/8.32 cnf(1259,plain,
% 8.33/8.32 (P7(f11(f18(a15,a16),a17),f9(a16,a15))),
% 8.33/8.32 inference(scs_inference,[],[96,98,1179,1020,1115,1161,1159,1228,1176,1142,894,178,947,995,1113,1144,1059,632,979,903,496,168,884,156,485,184,204,193,110,84,70,83,63,34,41,62,55,53,56,42,33,37,40,32])).
% 8.33/8.32 cnf(1260,plain,
% 8.33/8.32 (E(f11(f9(a16,a15),x12601),f11(f18(a15,a16),x12601))),
% 8.33/8.32 inference(rename_variables,[],[496])).
% 8.33/8.32 cnf(1265,plain,
% 8.33/8.32 (~P5(f5(f9(a16,a15),a1),a1)),
% 8.33/8.32 inference(scs_inference,[],[96,98,1179,1020,1115,1161,625,1159,1228,1178,1176,1142,894,178,947,995,1113,1144,1059,632,979,903,496,1260,168,479,884,156,485,184,204,193,110,84,70,83,63,34,41,62,55,53,56,42,33,37,40,32,39,3,71])).
% 8.33/8.32 cnf(1269,plain,
% 8.33/8.32 (~P6(f2(a16),f11(a15,f12(a15,a15,a17)),x12691)),
% 8.33/8.32 inference(scs_inference,[],[96,98,1179,1020,1115,1161,625,1159,1228,1178,1176,1142,894,178,947,995,1113,1144,1059,632,979,937,903,496,1260,168,479,884,156,485,184,204,193,110,84,70,83,63,34,41,62,55,53,56,42,33,37,40,32,39,3,71,51,75])).
% 8.33/8.32 cnf(1278,plain,
% 8.33/8.32 (P4(f13(a16),a16)),
% 8.33/8.32 inference(scs_inference,[],[96,98,1179,1087,1020,1115,952,1161,625,1159,1228,1178,1176,1168,1142,894,178,947,995,1113,1144,1059,632,979,867,937,903,496,1260,168,479,884,156,485,184,204,193,110,84,70,83,63,34,41,62,55,53,56,42,33,37,40,32,39,3,71,51,75,81,2,89,90,52])).
% 8.33/8.32 cnf(1289,plain,
% 8.33/8.32 (P6(f4(a17,a15),a15,a16)),
% 8.33/8.32 inference(scs_inference,[],[1142,1144,156,110,84])).
% 8.33/8.32 cnf(1291,plain,
% 8.33/8.32 (~P5(f12(a15,a15,a17),a16)),
% 8.33/8.32 inference(scs_inference,[],[1142,1144,816,156,489,110,84,83])).
% 8.33/8.32 cnf(1293,plain,
% 8.33/8.32 (P5(f4(a17,a15),a16)),
% 8.33/8.32 inference(scs_inference,[],[1142,1144,816,156,489,110,84,83,74])).
% 8.33/8.32 cnf(1295,plain,
% 8.33/8.32 (P5(f2(x12951),f18(x12951,f18(a15,a16)))),
% 8.33/8.32 inference(scs_inference,[],[100,1142,1144,816,183,156,489,110,84,83,74,63])).
% 8.33/8.32 cnf(1296,plain,
% 8.33/8.32 (P5(f2(x12961),x12961)),
% 8.33/8.32 inference(rename_variables,[],[100])).
% 8.33/8.32 cnf(1298,plain,
% 8.33/8.32 (~P5(f10(a16,a15,a15),f7(a15,f12(a15,a15,a17)))),
% 8.33/8.32 inference(scs_inference,[],[100,1142,867,1144,882,816,183,156,489,110,84,83,74,63,61])).
% 8.33/8.32 cnf(1300,plain,
% 8.33/8.32 (~P4(f5(f9(a16,a15),a1),a1)),
% 8.33/8.32 inference(scs_inference,[],[100,1265,1142,867,1144,882,816,183,156,489,110,84,83,74,63,61,55])).
% 8.33/8.32 cnf(1305,plain,
% 8.33/8.32 (~P7(f18(a15,a16),f7(f9(a16,a15),f2(a16)))),
% 8.33/8.32 inference(scs_inference,[],[100,1174,1147,1265,1142,867,1144,882,816,183,156,485,489,49,110,84,83,74,63,61,55,62,53])).
% 8.33/8.32 cnf(1313,plain,
% 8.33/8.32 (P7(f11(f18(a15,a16),f2(a15)),f9(a16,a15))),
% 8.33/8.32 inference(scs_inference,[],[100,856,1174,1230,1147,1265,967,899,825,1059,1142,496,867,1144,882,816,183,156,485,204,489,49,110,84,83,74,63,61,55,62,53,56,31,37,40,32])).
% 8.33/8.32 cnf(1315,plain,
% 8.33/8.32 (~P5(f5(f18(a15,a16),a1),a1)),
% 8.33/8.32 inference(scs_inference,[],[100,856,1174,1230,1147,1265,967,899,825,178,1059,1142,496,867,1144,882,816,183,156,485,204,489,49,110,84,83,74,63,61,55,62,53,56,31,37,40,32,39])).
% 8.33/8.32 cnf(1318,plain,
% 8.33/8.32 (~P3(f14(a17,f18(a15,a16)))),
% 8.33/8.32 inference(scs_inference,[],[100,1129,856,1174,1230,1147,1265,967,899,825,657,178,1059,1142,496,867,1144,882,816,183,156,485,204,489,49,137,110,84,83,74,63,61,55,62,53,56,31,37,40,32,39,3,54])).
% 8.33/8.32 cnf(1322,plain,
% 8.33/8.32 (P5(f12(a15,f9(a16,a15),f2(a15)),f9(a16,a15))),
% 8.33/8.32 inference(scs_inference,[],[100,1296,1129,856,1174,1230,1147,1265,1278,967,899,1161,1033,825,657,178,1059,1142,496,867,1144,882,816,183,156,485,204,489,49,137,110,84,83,74,63,61,55,62,53,56,31,37,40,32,39,3,54,57,86])).
% 8.33/8.32 cnf(1326,plain,
% 8.33/8.32 (~P5(f5(f9(a16,a15),a16),a15)+P2(f5(f9(a16,a15),a16),a15)),
% 8.33/8.32 inference(scs_inference,[],[100,1296,1129,856,1174,1230,1147,1227,1265,1278,967,899,1161,1033,825,657,178,1059,1142,496,867,1144,882,816,183,156,485,204,489,49,137,110,84,83,74,63,61,55,62,53,56,31,37,40,32,39,3,54,57,86,59])).
% 8.33/8.32 cnf(1335,plain,
% 8.33/8.32 (~P6(x13351,x13352,x13352)),
% 8.33/8.32 inference(rename_variables,[],[248])).
% 8.33/8.32 cnf(1340,plain,
% 8.33/8.32 (P2(f12(a15,f9(a16,a15),f2(a15)),f9(a16,a15))),
% 8.33/8.32 inference(scs_inference,[],[1322,1245,1293,193,248,1335,85,86,59])).
% 8.33/8.32 cnf(1345,plain,
% 8.33/8.32 (~E(f18(a15,a16),f14(a17,f18(a15,a16)))),
% 8.33/8.32 inference(scs_inference,[],[1318,1298,1322,1245,1293,93,193,248,1335,85,86,59,74,43])).
% 8.33/8.32 cnf(1346,plain,
% 8.33/8.32 (~P7(a16,f7(a15,f12(a15,a15,a17)))),
% 8.33/8.32 inference(scs_inference,[],[1318,1298,1322,1245,1293,93,886,193,248,1335,85,86,59,74,43,61])).
% 8.33/8.32 cnf(1348,plain,
% 8.33/8.32 (P5(f13(a16),a16)),
% 8.33/8.32 inference(scs_inference,[],[1318,1298,1322,1245,1293,1278,93,886,193,248,1335,85,86,59,74,43,61,55])).
% 8.33/8.32 cnf(1359,plain,
% 8.33/8.32 (P2(f12(f18(a15,a16),f9(a16,a15),a17),f9(a16,a15))),
% 8.33/8.32 inference(scs_inference,[],[108,1318,1298,1305,1322,1245,1269,1293,967,1278,93,170,886,193,248,1335,137,85,86,59,74,43,61,55,35,62,56,33,38])).
% 8.33/8.32 cnf(1362,plain,
% 8.33/8.32 (P5(f2(x13621),x13621)),
% 8.33/8.32 inference(rename_variables,[],[100])).
% 8.33/8.32 cnf(1363,plain,
% 8.33/8.32 (E(f4(f9(a16,a15),f9(a16,a15)),f4(f18(a15,a16),f18(a15,a16)))),
% 8.33/8.32 inference(scs_inference,[],[108,100,1318,1298,1253,1305,1322,1245,1269,1291,1293,481,482,967,1278,93,170,886,193,248,1335,137,85,86,59,74,43,61,55,35,62,56,33,38,32,39,3])).
% 8.33/8.32 cnf(1370,plain,
% 8.33/8.32 (P4(f4(f3(a1),a1),a1)),
% 8.33/8.32 inference(scs_inference,[],[108,100,1318,1298,1253,1305,1322,1245,1269,1291,1293,935,481,482,1109,967,1278,937,888,93,170,886,193,248,1335,137,85,86,59,74,43,61,55,35,62,56,33,38,32,39,3,58,65,64])).
% 8.33/8.32 cnf(1372,plain,
% 8.33/8.32 (~P6(x13721,x13722,f18(x13722,f18(a15,a16)))),
% 8.33/8.32 inference(scs_inference,[],[98,108,100,1362,1295,1318,1298,1253,1305,1322,1245,1269,1291,1293,935,481,482,1109,967,1278,937,888,93,170,886,193,248,1335,137,85,86,59,74,43,61,55,35,62,56,33,38,32,39,3,58,65,64,83])).
% 8.33/8.32 cnf(1373,plain,
% 8.33/8.32 (P5(f2(x13731),f18(x13731,f18(a15,a16)))),
% 8.33/8.32 inference(rename_variables,[],[1295])).
% 8.33/8.32 cnf(1374,plain,
% 8.33/8.32 (~P4(f2(x13741),x13741)),
% 8.33/8.32 inference(rename_variables,[],[98])).
% 8.33/8.32 cnf(1376,plain,
% 8.33/8.32 (~P6(x13761,f18(x13762,f18(a15,a16)),x13762)),
% 8.33/8.32 inference(scs_inference,[],[98,1374,108,100,1362,1295,1373,1318,1298,1253,1305,1322,1245,1269,1291,1293,935,481,482,1109,967,1278,937,888,93,170,886,193,248,1335,137,85,86,59,74,43,61,55,35,62,56,33,38,32,39,3,58,65,64,83,82])).
% 8.33/8.32 cnf(1400,plain,
% 8.33/8.32 (P5(f12(f18(f9(a16,a15),f18(a15,a16)),f9(a16,a15),a17),f9(a16,a15))),
% 8.33/8.32 inference(scs_inference,[],[1372,297,119,86])).
% 8.33/8.32 cnf(1401,plain,
% 8.33/8.32 (~P6(x14011,x14012,f18(x14012,f18(a15,a16)))),
% 8.33/8.32 inference(rename_variables,[],[1372])).
% 8.33/8.32 cnf(1409,plain,
% 8.33/8.32 (~P6(x14091,f9(a16,a15),f18(f18(a15,a16),f18(a15,a16)))),
% 8.33/8.32 inference(scs_inference,[],[110,1372,1401,1315,297,1295,1113,119,86,61,55,35])).
% 8.33/8.32 cnf(1411,plain,
% 8.33/8.32 (P5(f2(f9(a16,a15)),f18(x14111,f18(a15,a16)))),
% 8.33/8.32 inference(scs_inference,[],[100,110,1372,1401,1315,297,1295,1113,183,119,86,61,55,35,62])).
% 8.33/8.32 cnf(1414,plain,
% 8.33/8.32 (P5(f12(f18(a15,a16),f9(a16,a15),a17),f9(a16,a15))),
% 8.33/8.32 inference(scs_inference,[],[100,110,1372,1401,1359,1315,297,1295,1113,183,119,86,61,55,35,62,56])).
% 8.33/8.32 cnf(1416,plain,
% 8.33/8.32 (~P6(x14161,f18(f18(a15,a16),f18(a15,a16)),f9(a16,a15))),
% 8.33/8.32 inference(scs_inference,[],[100,110,1372,1401,1376,1359,1315,297,1295,1113,183,119,86,61,55,35,62,56,36])).
% 8.33/8.32 cnf(1420,plain,
% 8.33/8.32 (P7(f11(f18(a15,a16),f2(a15)),f18(a15,a16))),
% 8.33/8.32 inference(scs_inference,[],[100,110,1372,1401,1376,1359,1313,1315,297,1170,1295,579,1113,183,119,86,61,55,35,62,56,36,42,33])).
% 8.33/8.32 cnf(1421,plain,
% 8.33/8.32 (P2(f12(a15,f18(a15,a16),f2(a15)),f9(a16,a15))),
% 8.36/8.32 inference(scs_inference,[],[100,110,1372,1401,1376,1359,1340,1313,1315,297,1170,1295,478,579,1113,183,119,86,61,55,35,62,56,36,42,33,37])).
% 8.36/8.32 cnf(1424,plain,
% 8.36/8.32 (~E(x14241,f14(f2(x14241),x14241))),
% 8.36/8.32 inference(scs_inference,[],[100,110,1251,1372,1401,1376,1359,1340,1313,1315,297,1170,1295,1291,823,478,579,1113,183,119,86,61,55,35,62,56,36,42,33,37,40,2])).
% 8.36/8.32 cnf(1432,plain,
% 8.36/8.32 (P5(f5(f18(a15,a16),a16),f18(a15,a16))),
% 8.36/8.32 inference(scs_inference,[],[100,110,1251,1372,1401,1376,1359,1340,1257,1313,523,1315,297,1170,1295,1291,823,478,985,579,473,1113,479,183,119,86,61,55,35,62,56,36,42,33,37,40,2,32,3,39,60])).
% 8.36/8.32 cnf(1434,plain,
% 8.36/8.32 (~P7(f18(a15,a16),f14(a17,f18(a15,a16)))),
% 8.36/8.32 inference(scs_inference,[],[100,110,1251,1372,1401,1376,1345,1359,1340,1257,1313,523,1315,297,1170,1295,1291,823,478,985,579,473,1113,479,183,119,86,61,55,35,62,56,36,42,33,37,40,2,32,3,39,60,243])).
% 8.36/8.32 cnf(1450,plain,
% 8.36/8.32 (~P6(f12(a15,a15,f2(a15)),x14501,a16)),
% 8.36/8.32 inference(scs_inference,[],[1233,74])).
% 8.36/8.32 cnf(1452,plain,
% 8.36/8.32 (~P5(f12(a15,a15,f2(a15)),f7(a16,f2(a16)))),
% 8.36/8.32 inference(scs_inference,[],[1233,198,74,61])).
% 8.36/8.32 cnf(1462,plain,
% 8.36/8.32 (~P2(f12(a15,a15,f2(a15)),a16)),
% 8.36/8.32 inference(scs_inference,[],[1414,1370,1233,1376,1289,198,485,74,61,55,35,62,56])).
% 8.36/8.32 cnf(1466,plain,
% 8.36/8.32 (P2(f12(a15,f18(a15,a16),f2(a15)),f18(a15,a16))),
% 8.36/8.32 inference(scs_inference,[],[110,1421,1414,1370,1233,1376,399,1289,979,198,485,74,61,55,35,62,56,42,38])).
% 8.36/8.32 cnf(1467,plain,
% 8.36/8.32 (~E(f9(a16,a15),f7(f18(a15,a16),a17))),
% 8.36/8.32 inference(scs_inference,[],[110,1421,1414,1370,1259,1233,1376,399,1289,509,979,198,485,74,61,55,35,62,56,42,38,33])).
% 8.36/8.32 cnf(1475,plain,
% 8.36/8.32 (~E(f9(a16,a15),f14(f2(f9(a16,a15)),f18(a15,a16)))),
% 8.36/8.32 inference(scs_inference,[],[110,1424,1421,1414,1420,1370,1259,1233,602,870,1376,1363,399,1289,165,509,1059,175,168,979,198,485,74,61,55,35,62,56,42,38,33,37,2,32,39,3])).
% 8.36/8.32 cnf(1476,plain,
% 8.36/8.32 (~E(x14761,f14(f2(x14761),x14761))),
% 8.36/8.32 inference(rename_variables,[],[1424])).
% 8.36/8.32 cnf(1478,plain,
% 8.36/8.32 (P1(f6(f2(x14781),x14781))),
% 8.36/8.32 inference(scs_inference,[],[110,1424,1421,1414,1420,1370,1259,1233,602,870,1376,1363,399,1289,165,509,1059,175,168,979,579,198,485,74,61,55,35,62,56,42,38,33,37,2,32,39,3,51])).
% 8.36/8.32 cnf(1480,plain,
% 8.36/8.32 (P5(f12(a15,f11(a15,f12(a15,a15,a17)),f12(a15,a15,a17)),a15)),
% 8.36/8.32 inference(scs_inference,[],[110,1424,1421,1414,1420,1067,1370,1259,1233,602,870,1376,1363,399,823,1289,165,509,1059,175,168,979,579,198,485,489,74,61,55,35,62,56,42,38,33,37,2,32,39,3,51,85])).
% 8.36/8.32 cnf(1485,plain,
% 8.36/8.32 (~P6(x14851,f7(a15,f12(a15,a15,a17)),a15)),
% 8.36/8.32 inference(scs_inference,[],[110,1424,1421,1414,1420,1067,1370,1259,1233,602,870,1376,1363,399,825,823,1289,165,509,1059,175,168,979,579,198,816,485,489,74,61,55,35,62,56,42,38,33,37,2,32,39,3,51,85,75,82])).
% 8.36/8.32 cnf(1487,plain,
% 8.36/8.32 (~P7(f9(a16,a15),f14(f2(f9(a16,a15)),f9(a16,a15)))),
% 8.36/8.32 inference(scs_inference,[],[110,1424,1476,1421,1414,1420,1067,1370,1259,1233,602,870,1376,1363,399,825,823,1289,165,509,1059,175,168,979,579,198,816,485,204,489,74,61,55,35,62,56,42,38,33,37,2,32,39,3,51,85,75,82,53])).
% 8.36/8.32 cnf(1493,plain,
% 8.36/8.32 (P1(f6(f2(f18(a15,a16)),f9(a16,a15)))),
% 8.36/8.32 inference(scs_inference,[],[100,110,1424,1476,1421,1414,1420,1067,1370,1259,1233,602,870,1376,1363,399,825,823,1289,165,163,509,1059,175,168,979,579,198,816,485,204,489,74,61,55,35,62,56,42,38,33,37,2,32,39,3,51,85,75,82,53,66,31])).
% 8.36/8.32 cnf(1504,plain,
% 8.36/8.32 (P5(f5(f18(a15,a16),a16),f18(f18(a15,a16),f9(a16,a15)))),
% 8.36/8.32 inference(scs_inference,[],[1432,484,63])).
% 8.36/8.32 cnf(1505,plain,
% 8.36/8.32 (E(f18(x15051,f9(a16,a15)),f18(x15051,f18(a15,a16)))),
% 8.36/8.32 inference(rename_variables,[],[484])).
% 8.36/8.32 cnf(1509,plain,
% 8.36/8.32 (~P7(f7(a15,f12(a15,a15,a17)),a16)),
% 8.36/8.32 inference(scs_inference,[],[1432,1450,1291,825,1289,484,63,34,61])).
% 8.36/8.32 cnf(1515,plain,
% 8.36/8.32 (~P6(x15151,f18(f18(a15,a16),f9(a16,a15)),f9(a16,a15))),
% 8.36/8.32 inference(scs_inference,[],[1452,1432,1450,1416,1291,825,1289,993,484,1505,63,34,61,66,55,35])).
% 8.36/8.32 cnf(1519,plain,
% 8.36/8.32 (P5(f12(a15,f18(a15,a16),f2(a15)),f18(a15,a16))),
% 8.36/8.32 inference(scs_inference,[],[1466,1452,1432,1450,1416,1184,1291,1315,825,1289,993,484,1505,63,34,61,66,55,35,62,56])).
% 8.36/8.32 cnf(1521,plain,
% 8.36/8.32 (~P7(f18(a15,a16),f14(a17,f9(a16,a15)))),
% 8.36/8.32 inference(scs_inference,[],[1466,1434,1452,1432,1450,1416,1184,1291,1315,825,1289,473,993,484,1505,63,34,61,66,55,35,62,56,33])).
% 8.36/8.32 cnf(1526,plain,
% 8.36/8.32 (P5(f12(f18(f9(a16,a15),f18(a15,a16)),f9(a16,a15),a17),f18(a15,a16))),
% 8.36/8.32 inference(scs_inference,[],[110,1478,1466,1434,1452,1432,1400,1450,1416,1184,1291,1315,825,1289,471,473,993,484,1505,63,34,61,66,55,35,62,56,33,31,40])).
% 8.36/8.32 cnf(1531,plain,
% 8.36/8.32 (E(f10(f18(a15,a16),f18(a15,a16),f9(a16,a15)),f10(f9(a16,a15),f18(a15,a16),f18(a15,a16)))),
% 8.36/8.32 inference(scs_inference,[],[114,110,1478,1466,1434,1487,1452,1432,1400,1450,1416,417,1184,1021,1291,1315,825,1289,471,175,473,993,484,1505,137,63,34,61,66,55,35,62,56,33,31,40,37,2,32,3])).
% 8.36/8.32 cnf(1535,plain,
% 8.36/8.32 (~P3(f6(a17,f18(a15,a16)))),
% 8.36/8.32 inference(scs_inference,[],[114,110,1478,1466,1434,1487,1452,1432,1400,1450,1416,1007,417,1184,722,1021,1291,1315,825,1289,471,175,473,993,484,1505,137,63,34,61,66,55,35,62,56,33,31,40,37,2,32,3,39,54])).
% 8.36/8.32 cnf(1537,plain,
% 8.36/8.32 (~P2(f4(f3(a1),a1),a1)),
% 8.36/8.32 inference(scs_inference,[],[114,110,1478,1466,1434,1487,1452,1432,1400,1450,1416,1007,417,1370,1184,722,1021,1291,1315,825,1289,471,175,473,993,484,1505,137,63,34,61,66,55,35,62,56,33,31,40,37,2,32,3,39,54,57])).
% 8.36/8.32 cnf(1541,plain,
% 8.36/8.32 (~P7(f9(a16,a15),f14(f2(f9(a16,a15)),f18(a15,a16)))),
% 8.36/8.32 inference(scs_inference,[],[114,110,1478,1466,1434,1487,1475,1452,1432,1400,1450,1480,1416,1007,417,1370,1184,722,1021,1291,1315,825,1289,471,175,473,993,484,1505,204,137,63,34,61,66,55,35,62,56,33,31,40,37,2,32,3,39,54,57,82,53])).
% 8.36/8.32 cnf(1561,plain,
% 8.36/8.32 (~E(f18(a15,a16),f6(a17,f18(a15,a16)))),
% 8.36/8.32 inference(scs_inference,[],[1535,1504,1053,93,184,993,63,61,43])).
% 8.36/8.32 cnf(1567,plain,
% 8.36/8.32 (~P6(x15671,f18(f9(a16,a15),f9(a16,a15)),f9(a16,a15))),
% 8.36/8.32 inference(scs_inference,[],[1519,1535,1515,1504,1053,1184,1315,93,184,485,993,63,61,43,66,62,35])).
% 8.36/8.32 cnf(1571,plain,
% 8.36/8.32 (~E(f6(f2(f18(a15,a16)),f9(a16,a15)),f9(a16,a15))),
% 8.36/8.32 inference(scs_inference,[],[1519,1535,1493,1515,1504,1053,1452,1184,1315,93,184,485,993,204,63,61,43,66,62,35,56,31])).
% 8.36/8.32 cnf(1572,plain,
% 8.36/8.32 (P5(f12(a15,f18(a15,a16),f2(a15)),f9(a16,a15))),
% 8.36/8.32 inference(scs_inference,[],[1519,1535,1493,1515,1504,1053,1452,1184,1315,93,184,485,993,204,137,63,61,43,66,62,35,56,31,40])).
% 8.36/8.32 cnf(1576,plain,
% 8.36/8.32 (~E(f18(a15,a16),f7(f18(a15,a16),a17))),
% 8.36/8.32 inference(scs_inference,[],[110,1519,1521,1535,1531,1493,1515,1504,1467,1537,1053,1452,415,1184,1315,93,184,485,993,204,137,63,61,43,66,62,35,56,31,40,37,2,32,3])).
% 8.36/8.32 cnf(1577,plain,
% 8.36/8.32 (P5(f12(a15,f9(a16,a15),f2(a15)),f18(a15,a16))),
% 8.36/8.32 inference(scs_inference,[],[110,1519,1521,1535,1531,1493,1515,1504,1467,1537,1053,1452,415,1184,1315,93,175,184,485,993,204,137,63,61,43,66,62,35,56,31,40,37,2,32,3,39])).
% 8.36/8.32 cnf(1581,plain,
% 8.36/8.32 (P4(f4(f13(a16),a16),a16)),
% 8.36/8.32 inference(scs_inference,[],[110,1519,1521,1535,1531,1493,1515,1504,1467,1537,1053,1452,415,1184,1315,1278,93,175,184,485,993,204,137,63,61,43,66,62,35,56,31,40,37,2,32,3,39,58,64])).
% 8.36/8.32 cnf(1583,plain,
% 8.36/8.32 (~P4(f5(f18(a15,a16),a16),a15)),
% 8.36/8.32 inference(scs_inference,[],[110,1519,1521,1535,1531,1493,1515,1504,1467,1537,1053,1452,1239,415,1184,1315,1278,93,1142,175,184,485,993,204,137,63,61,43,66,62,35,56,31,40,37,2,32,3,39,58,64,84])).
% 8.36/8.32 cnf(1586,plain,
% 8.36/8.32 (P2(f12(f18(f9(a16,a15),f18(a15,a16)),f9(a16,a15),a17),f18(a15,a16))),
% 8.36/8.32 inference(scs_inference,[],[110,1519,1521,1535,1531,1493,1515,1504,1467,1526,1537,1053,1452,1239,415,1184,1315,1278,93,1142,175,92,184,485,993,204,137,63,61,43,66,62,35,56,31,40,37,2,32,3,39,58,64,84,59])).
% 8.36/8.32 cnf(1590,plain,
% 8.36/8.32 (P5(f4(f13(a16),a16),a16)),
% 8.36/8.32 inference(scs_inference,[],[102,110,1519,1521,1535,1531,1493,1515,1504,1467,1526,1537,1300,1053,1452,1239,415,1184,1315,1278,93,1142,175,92,184,485,993,204,137,63,61,43,66,62,35,56,31,40,37,2,32,3,39,58,64,84,59,41,55])).
% 8.36/8.32 cnf(1593,plain,
% 8.36/8.32 (P7(f7(f18(a15,a16),a17),f9(a16,a15))),
% 8.36/8.32 inference(scs_inference,[],[102,110,1519,1521,1535,1531,1493,1515,1504,1467,1526,1537,1300,1053,1452,1239,415,1184,486,1315,1278,93,1142,175,92,184,485,993,204,137,63,61,43,66,62,35,56,31,40,37,2,32,3,39,58,64,84,59,41,55,38,33])).
% 8.36/8.32 cnf(1600,plain,
% 8.36/8.32 (~P6(x16001,f18(x16002,f18(a15,a16)),f9(a16,a15))),
% 8.36/8.32 inference(scs_inference,[],[102,110,1519,1521,1535,1531,1493,1515,1411,1504,1467,1526,1537,1300,1053,1452,1239,962,393,415,1184,486,1315,1278,93,1142,175,92,184,485,993,193,204,100,137,63,61,43,66,62,35,56,31,40,37,2,32,3,39,58,64,84,59,41,55,38,33,69,80,81,82])).
% 8.36/8.32 cnf(1606,plain,
% 8.36/8.32 (~P4(f12(a1,a1,f3(a1)),a1)),
% 8.36/8.32 inference(scs_inference,[],[1120,248,91])).
% 8.36/8.32 cnf(1609,plain,
% 8.36/8.32 (P2(f12(a15,a15,a17),a15)),
% 8.36/8.32 inference(scs_inference,[],[1120,816,248,489,91,59])).
% 8.36/8.32 cnf(1616,plain,
% 8.36/8.32 (~P5(f5(f9(a16,a15),a1),a16)),
% 8.36/8.32 inference(scs_inference,[],[1120,1452,1265,995,823,46,816,248,489,91,59,83,63,61])).
% 8.36/8.32 cnf(1618,plain,
% 8.36/8.32 (~P3(f6(a17,f9(a16,a15)))),
% 8.36/8.32 inference(scs_inference,[],[1120,1535,1452,1265,995,823,471,46,816,248,489,91,59,83,63,61,43])).
% 8.36/8.32 cnf(1619,plain,
% 8.36/8.32 (E(f6(x16191,f9(a16,a15)),f6(x16191,f18(a15,a16)))),
% 8.36/8.32 inference(rename_variables,[],[471])).
% 8.36/8.32 cnf(1620,plain,
% 8.36/8.32 (~P6(x16201,f9(a16,a15),f18(a15,a16))),
% 8.36/8.32 inference(scs_inference,[],[1572,1120,1535,1452,1265,995,823,1519,471,46,816,92,248,489,91,59,83,63,61,43,82])).
% 8.36/8.32 cnf(1623,plain,
% 8.36/8.32 (~P7(f9(a16,a15),a16)),
% 8.36/8.32 inference(scs_inference,[],[1572,1063,1120,1535,1452,1265,995,823,1519,471,46,816,92,248,489,204,91,59,83,63,61,43,82,53])).
% 8.36/8.32 cnf(1629,plain,
% 8.36/8.32 (P5(f12(f18(a15,a16),a16,a17),f18(a15,a16))),
% 8.36/8.32 inference(scs_inference,[],[1572,1063,1120,1535,1081,1452,1265,995,823,1291,1519,471,46,816,92,183,248,489,204,91,59,83,63,61,43,82,53,55,62,56])).
% 8.36/8.32 cnf(1635,plain,
% 8.36/8.32 (~E(f9(a16,a15),f6(f2(f18(a15,a16)),f9(a16,a15)))),
% 8.36/8.32 inference(scs_inference,[],[1572,1571,1063,1462,1120,1535,395,1081,1452,1265,995,823,1291,1519,1059,471,46,816,92,183,212,248,489,204,91,59,83,63,61,43,82,53,55,62,56,40,37,2])).
% 8.36/8.32 cnf(1636,plain,
% 8.36/8.32 (~E(f18(a15,a16),f6(a17,f9(a16,a15)))),
% 8.36/8.32 inference(scs_inference,[],[1561,1572,1571,1063,1462,1120,1535,395,1081,1452,1265,995,823,1291,1519,1059,471,1619,46,816,92,183,212,248,489,204,91,59,83,63,61,43,82,53,55,62,56,40,37,2,3])).
% 8.36/8.32 cnf(1638,plain,
% 8.36/8.32 (P5(f2(f9(a16,a15)),f18(x16381,f9(a16,a15)))),
% 8.36/8.32 inference(scs_inference,[],[1561,1572,1571,1063,1069,1462,1120,185,1535,395,1081,1452,1265,995,823,1291,1519,1059,471,1619,46,816,92,183,212,248,489,204,91,59,83,63,61,43,82,53,55,62,56,40,37,2,3,39])).
% 8.36/8.32 cnf(1639,plain,
% 8.36/8.32 (P5(f5(f9(a16,a15),a1),f9(a16,a15))),
% 8.36/8.32 inference(scs_inference,[],[1561,1572,1571,1063,1069,1462,1120,185,1535,395,1081,1452,1265,995,1178,823,1291,1519,1059,471,1619,46,816,92,183,212,248,489,204,91,59,83,63,61,43,82,53,55,62,56,40,37,2,3,39,60])).
% 8.36/8.32 cnf(1647,plain,
% 8.36/8.32 (P5(f5(f9(a16,a15),a1),a15)),
% 8.36/8.32 inference(scs_inference,[],[110,1561,1572,1571,1063,1069,1064,1462,1120,185,1535,395,1159,1081,1452,1265,995,1178,540,823,1291,1519,1059,471,1619,46,1289,816,92,183,212,248,489,204,91,59,83,63,61,43,82,53,55,62,56,40,37,2,3,39,60,243,81,34,66])).
% 8.36/8.32 cnf(1669,plain,
% 8.36/8.32 (~P6(f5(f9(a16,a15),a1),a16,x16691)),
% 8.36/8.32 inference(scs_inference,[],[1616,75])).
% 8.36/8.32 cnf(1671,plain,
% 8.36/8.32 (P5(f12(f18(a15,a16),f9(a16,a15),f2(a16)),f9(a16,a15))),
% 8.36/8.32 inference(scs_inference,[],[1620,1616,794,224,75,86])).
% 8.36/8.32 cnf(1674,plain,
% 8.36/8.32 (~P6(f5(f9(a16,a15),a1),x16741,a16)),
% 8.36/8.33 inference(scs_inference,[],[1620,1616,794,224,75,86,74])).
% 8.36/8.33 cnf(1676,plain,
% 8.36/8.33 (P5(f12(f18(a15,a16),a16,a17),f18(f9(a16,a15),x16761))),
% 8.36/8.33 inference(scs_inference,[],[1620,1629,1616,794,485,224,75,86,74,63])).
% 8.36/8.33 cnf(1681,plain,
% 8.36/8.33 (~P3(f14(a17,f9(a16,a15)))),
% 8.36/8.33 inference(scs_inference,[],[1620,1629,1616,1318,794,995,1233,473,485,224,75,86,74,63,61,43])).
% 8.36/8.33 cnf(1683,plain,
% 8.36/8.33 (~P7(f18(a15,a16),f6(a17,f9(a16,a15)))),
% 8.36/8.33 inference(scs_inference,[],[1636,1620,1629,1616,1318,794,995,1233,473,485,224,49,75,86,74,63,61,43,53])).
% 8.36/8.33 cnf(1688,plain,
% 8.36/8.33 (~P2(f5(f9(a16,a15),a1),a16)),
% 8.36/8.33 inference(scs_inference,[],[1636,1620,1600,1629,1639,1616,1318,794,995,1233,473,485,224,49,137,75,86,74,63,61,43,53,62,36,56])).
% 8.36/8.33 cnf(1690,plain,
% 8.36/8.33 (P5(f5(f9(a16,a15),a1),f18(a15,a16))),
% 8.36/8.33 inference(scs_inference,[],[110,1636,1620,1600,1629,1639,1616,1318,794,995,1233,473,485,224,49,137,75,86,74,63,61,43,53,62,36,56,40])).
% 8.36/8.33 cnf(1691,plain,
% 8.36/8.33 (P2(f12(f18(f9(a16,a15),f18(a15,a16)),f18(a15,a16),a17),f18(a15,a16))),
% 8.36/8.33 inference(scs_inference,[],[110,1636,1620,1600,1629,1639,1616,1586,1318,794,478,995,1233,473,485,224,49,137,75,86,74,63,61,43,53,62,36,56,40,37])).
% 8.36/8.33 cnf(1698,plain,
% 8.36/8.33 (~P5(f5(a15,a16),a16)),
% 8.36/8.33 inference(scs_inference,[],[110,1636,1620,1600,1541,1629,1639,1616,1590,1586,1318,476,417,794,478,995,1233,473,485,224,49,137,75,86,74,63,61,43,53,62,36,56,40,37,32,3,39,71])).
% 8.36/8.33 cnf(1703,plain,
% 8.36/8.33 (E(f10(f18(a15,a16),f18(a15,a16),f18(a15,a16)),f10(f9(a16,a15),f9(a16,a15),f9(a16,a15)))),
% 8.36/8.33 inference(scs_inference,[],[110,1636,1620,1600,1541,1175,1629,1639,1616,1590,1586,1056,1318,476,417,794,478,995,1233,1142,473,485,224,49,137,75,86,74,63,61,43,53,62,36,56,40,37,32,3,39,71,83,31,2])).
% 8.36/8.33 cnf(1714,plain,
% 8.36/8.33 (P5(f12(f18(a15,a16),f9(a16,a15),f2(a16)),f18(f18(a15,a16),x17141))),
% 8.36/8.33 inference(scs_inference,[],[1671,184,63])).
% 8.36/8.33 cnf(1719,plain,
% 8.36/8.33 (~E(f9(a16,a15),f6(a17,f9(a16,a15)))),
% 8.36/8.33 inference(scs_inference,[],[1618,1671,914,1113,156,184,63,61,43])).
% 8.36/8.33 cnf(1720,plain,
% 8.36/8.33 (P5(f5(f9(a16,a15),a1),f18(f18(a15,a16),f18(a15,a16)))),
% 8.36/8.33 inference(scs_inference,[],[1618,1690,1671,914,1113,156,184,63,61,43,62])).
% 8.36/8.33 cnf(1725,plain,
% 8.36/8.33 (P2(f12(f18(f9(a16,a15),f18(a15,a16)),f18(a15,a16),a17),f9(a16,a15))),
% 8.36/8.33 inference(scs_inference,[],[1618,1690,1671,1691,914,1113,156,184,137,63,61,43,62,56,38])).
% 8.36/8.33 cnf(1726,plain,
% 8.36/8.33 (P5(f12(f18(a15,a16),f9(a16,a15),f2(a16)),f18(a15,a16))),
% 8.36/8.33 inference(scs_inference,[],[110,1618,1690,1671,1691,914,1113,156,184,137,63,61,43,62,56,38,40])).
% 8.36/8.33 cnf(1729,plain,
% 8.36/8.33 (~P7(f9(a16,a15),f6(a17,f9(a16,a15)))),
% 8.36/8.33 inference(scs_inference,[],[116,110,1683,1618,1690,1671,1691,1609,407,914,1113,156,184,137,63,61,43,62,56,38,40,37,2,32])).
% 8.36/8.33 cnf(1733,plain,
% 8.36/8.33 (~P3(a15)),
% 8.36/8.33 inference(scs_inference,[],[116,110,1683,1618,1635,1690,1676,1671,1691,1609,407,914,176,711,1113,156,184,137,63,61,43,62,56,38,40,37,2,32,3,39,54])).
% 8.36/8.33 cnf(1735,plain,
% 8.36/8.33 (~P2(f4(f13(a16),a16),a16)),
% 8.36/8.33 inference(scs_inference,[],[116,110,1683,1618,1635,1690,1676,1671,1691,1609,407,1581,914,176,711,1113,156,184,137,63,61,43,62,56,38,40,37,2,32,3,39,54,57])).
% 8.36/8.33 cnf(1745,plain,
% 8.36/8.33 (P4(f3(a15),a15)),
% 8.36/8.33 inference(scs_inference,[],[116,110,1683,1618,1681,1635,1690,1676,1671,1691,1509,1647,1346,1609,407,1629,1581,753,914,176,1265,711,620,1113,867,156,92,184,137,63,61,43,62,56,38,40,37,2,32,3,39,54,57,112,83,81,66,50])).
% 8.36/8.33 cnf(1751,plain,
% 8.36/8.33 (~P6(f5(a15,a16),x17511,a16)),
% 8.36/8.33 inference(scs_inference,[],[116,115,110,1683,1618,1681,1635,1690,1676,1671,1691,1509,1698,1647,1346,1609,407,1629,1581,753,914,176,1265,711,620,1113,867,156,92,184,137,63,61,43,62,56,38,40,37,2,32,3,39,54,57,112,83,81,66,50,88,75,74])).
% 8.36/8.33 cnf(1761,plain,
% 8.36/8.33 (~P6(x17611,f18(f9(a16,a15),f9(a16,a15)),f18(a15,a16))),
% 8.36/8.33 inference(scs_inference,[],[116,115,110,1683,1618,1681,1635,1567,1690,1676,1671,1691,1509,1583,1698,1647,1346,1609,407,1629,834,1504,1593,1581,753,914,827,176,1265,821,711,620,1113,867,156,92,184,137,63,61,43,62,56,38,40,37,2,32,3,39,54,57,112,83,81,66,50,88,75,74,82,87,55,53,36])).
% 8.36/8.33 cnf(1764,plain,
% 8.36/8.33 (P6(f3(a15),a15,a16)),
% 8.36/8.33 inference(scs_inference,[],[110,1745,1289,156,84])).
% 8.36/8.33 cnf(1769,plain,
% 8.36/8.33 (P5(f3(a15),a16)),
% 8.36/8.33 inference(scs_inference,[],[110,1485,1745,825,1289,156,489,84,85,74])).
% 8.36/8.33 cnf(1776,plain,
% 8.36/8.33 (~P5(f5(f18(a15,a16),a1),a15)),
% 8.36/8.33 inference(scs_inference,[],[110,1485,1669,1606,1745,1370,178,825,1298,1315,45,886,1289,156,489,84,85,74,34,63,41,61])).
% 8.36/8.33 cnf(1781,plain,
% 8.36/8.33 (P5(f12(a15,f9(a16,a15),f2(a15)),f18(f9(a16,a15),f18(a15,a16)))),
% 8.36/8.33 inference(scs_inference,[],[110,1577,1485,1669,1606,1745,1733,1698,1370,178,825,1298,1315,45,886,1289,93,156,485,489,84,85,74,34,63,41,61,55,43,62])).
% 8.36/8.33 cnf(1787,plain,
% 8.36/8.33 (E(f6(x17871,f18(a15,a16)),f6(x17871,f9(a16,a15)))),
% 8.36/8.33 inference(rename_variables,[],[163])).
% 8.36/8.33 cnf(1791,plain,
% 8.36/8.33 (P5(f12(f9(a16,a15),f9(a16,a15),f2(a16)),f18(f18(a15,a16),x17911))),
% 8.36/8.33 inference(scs_inference,[],[110,1729,1720,1577,1714,1485,1669,1735,1606,1745,1733,1698,1370,178,176,163,825,1298,1315,1616,1059,45,886,1289,93,156,485,489,84,85,74,34,63,41,61,55,43,62,56,33,40,37,39])).
% 8.36/8.33 cnf(1793,plain,
% 8.36/8.33 (~E(f9(a16,a15),f6(a17,f18(a15,a16)))),
% 8.36/8.33 inference(scs_inference,[],[110,1719,1729,1720,1577,1714,1485,1669,1735,1606,1745,1733,1698,1370,178,176,163,1787,825,1298,1315,1616,1059,45,886,1289,93,156,485,489,84,85,74,34,63,41,61,55,43,62,56,33,40,37,39,3])).
% 8.36/8.33 cnf(1799,plain,
% 8.36/8.33 (P4(f4(f3(a15),a15),a15)),
% 8.36/8.33 inference(scs_inference,[],[106,110,1719,1729,1720,1577,1714,1485,1669,1735,1606,1745,1733,1698,1370,178,176,163,1787,825,1298,1315,1616,1059,45,886,1289,93,156,485,102,104,489,84,85,74,34,63,41,61,55,43,62,56,33,40,37,39,3,65,58,64])).
% 8.36/8.33 cnf(1817,plain,
% 8.36/8.33 (P6(f4(f3(a15),a15),a15,a16)),
% 8.36/8.33 inference(scs_inference,[],[110,1799,1764,156,84])).
% 8.36/8.33 cnf(1819,plain,
% 8.36/8.33 (P5(f4(f3(a15),a15),a15)),
% 8.36/8.33 inference(scs_inference,[],[110,1799,1764,156,84,75])).
% 8.36/8.33 cnf(1821,plain,
% 8.36/8.33 (~P6(f5(f18(a15,a16),a1),x18211,a15)),
% 8.36/8.33 inference(scs_inference,[],[110,1776,1799,1764,156,84,75,74])).
% 8.36/8.33 cnf(1832,plain,
% 8.36/8.33 (~P7(f18(a15,a16),a15)),
% 8.36/8.33 inference(scs_inference,[],[117,110,1776,1799,1764,1638,1184,156,484,193,100,84,75,74,63,82,66,61])).
% 8.36/8.33 cnf(1840,plain,
% 8.36/8.33 (~E(f9(a16,a15),f11(f9(a16,a15),a17))),
% 8.36/8.33 inference(scs_inference,[],[117,110,1761,1776,1799,1764,1638,1725,583,1593,1184,156,484,193,184,100,84,75,74,63,82,66,61,35,62,56,33])).
% 8.36/8.33 cnf(1841,plain,
% 8.36/8.33 (P5(f12(a15,f9(a16,a15),f2(a15)),f18(f9(a16,a15),f9(a16,a15)))),
% 8.36/8.33 inference(scs_inference,[],[117,110,1761,1781,1776,1799,1764,1638,1725,583,1593,1184,156,484,183,193,184,100,84,75,74,63,82,66,61,35,62,56,33,40])).
% 8.36/8.33 cnf(1847,plain,
% 8.36/8.33 (E(f10(f18(a15,a16),f18(a15,a16),f18(a15,a16)),f10(f9(a16,a15),f18(a15,a16),f9(a16,a15)))),
% 8.36/8.33 inference(scs_inference,[],[117,110,1793,1761,1781,1776,1799,1769,1764,1638,1725,1688,1703,583,497,1134,1593,1184,178,156,484,183,193,184,100,84,75,74,63,82,66,61,35,62,56,33,40,37,2,39,3])).
% 8.36/8.33 cnf(1849,plain,
% 8.36/8.33 (P6(f12(a15,a15,a17),f14(f12(a15,a15,a17),a15),f6(f12(a15,a15,a17),a15))),
% 8.36/8.33 inference(scs_inference,[],[117,110,1793,1761,1781,1776,1799,1769,1764,1638,1725,1688,1703,583,1609,497,1134,1593,1184,178,156,484,183,193,184,100,84,75,74,63,82,66,61,35,62,56,33,40,37,2,39,3,78])).
% 8.36/8.33 cnf(1851,plain,
% 8.36/8.33 (P5(f5(f9(a16,a15),a16),f9(a16,a15))),
% 8.36/8.33 inference(scs_inference,[],[117,110,1793,1761,1781,1623,1776,1799,1769,1764,1638,1725,1688,1703,583,1609,497,1134,1593,1184,178,156,484,183,193,184,100,84,75,74,63,82,66,61,35,62,56,33,40,37,2,39,3,78,60])).
% 8.36/8.33 cnf(1853,plain,
% 8.36/8.33 (~P7(f18(a15,a16),f7(f18(a15,a16),a17))),
% 8.36/8.33 inference(scs_inference,[],[117,110,1793,1761,1576,1781,1623,1776,1799,1769,1764,1638,1725,1688,1703,583,1609,497,1134,1593,1184,178,156,484,183,193,184,100,84,75,74,63,82,66,61,35,62,56,33,40,37,2,39,3,78,60,243])).
% 8.36/8.33 cnf(1858,plain,
% 8.36/8.33 (P2(f12(f18(a15,a16),f9(a16,a15),f2(a16)),f18(a15,a16))),
% 8.36/8.33 inference(scs_inference,[],[117,110,1793,1761,1576,1781,1726,1623,1776,1799,1769,1764,1638,1725,1688,1703,583,702,1609,497,1134,1593,1184,178,156,92,484,183,193,184,100,84,75,74,63,82,66,61,35,62,56,33,40,37,2,39,3,78,60,243,85,59])).
% 8.36/8.33 cnf(1864,plain,
% 8.36/8.33 (~P4(f12(a1,a1,a17),a1)),
% 8.36/8.33 inference(scs_inference,[],[114,117,110,1793,1761,1576,1781,1726,1623,1776,1799,1769,1764,1638,1725,1688,1703,1227,583,702,1609,497,1134,1593,1184,178,156,92,484,183,193,184,248,100,84,75,74,63,82,66,61,35,62,56,33,40,37,2,39,3,78,60,243,85,59,41,65,91])).
% 8.36/8.33 cnf(1869,plain,
% 8.36/8.33 (P7(f11(a1,f12(a1,a1,a17)),a1)),
% 8.36/8.33 inference(scs_inference,[],[114,117,110,1793,1761,1576,1781,1726,1623,1776,1799,1769,1764,1638,1725,1688,1703,1227,583,702,186,1609,497,1134,1593,1184,178,156,92,484,183,193,184,248,100,84,75,74,63,82,66,61,35,62,56,33,40,37,2,39,3,78,60,243,85,59,41,65,91,79,70])).
% 8.36/8.33 cnf(1878,plain,
% 8.36/8.33 (P7(f7(a1,f12(a1,a1,a17)),a1)),
% 8.36/8.33 inference(scs_inference,[],[1864,186,69])).
% 8.36/8.33 cnf(1882,plain,
% 8.36/8.33 (~P4(f5(f9(a16,a15),a1),a15)),
% 8.36/8.33 inference(scs_inference,[],[110,1674,1864,1817,186,156,69,80,84])).
% 8.36/8.33 cnf(1883,plain,
% 8.36/8.33 (~P6(f5(f9(a16,a15),a1),x18831,a16)),
% 8.36/8.33 inference(rename_variables,[],[1674])).
% 8.36/8.33 cnf(1890,plain,
% 8.36/8.33 (P5(f12(a15,a15,a17),f6(f12(a15,a15,a17),a15))),
% 8.36/8.33 inference(scs_inference,[],[110,1851,1849,1674,1864,1817,186,1452,156,193,69,80,84,75,59,74])).
% 8.36/8.33 cnf(1907,plain,
% 8.36/8.33 (~P2(f5(f18(a15,a16),a1),a15)),
% 8.36/8.33 inference(scs_inference,[],[117,110,1840,1851,1849,1819,1674,1883,1864,1817,1348,1720,186,1452,1134,1776,1265,156,92,350,193,204,69,80,84,75,59,74,63,34,82,66,61,53,62,56])).
% 8.36/8.33 cnf(1914,plain,
% 8.36/8.33 (P2(f12(f18(a15,a16),f18(a15,a16),f2(a16)),f18(a15,a16))),
% 8.36/8.33 inference(scs_inference,[],[117,110,1840,1851,1841,1849,1858,1819,1674,1883,1864,1869,1817,1348,1720,1108,186,1452,1134,478,1776,1265,156,92,485,350,193,204,137,69,80,84,75,59,74,63,34,82,66,61,53,62,56,38,33,40,32,37])).
% 8.36/8.33 cnf(1920,plain,
% 8.36/8.33 (~P5(f5(f18(a15,a16),a15),a15)),
% 8.36/8.33 inference(scs_inference,[],[117,110,1847,1840,1851,1841,1849,1858,1819,1832,1674,1883,1864,1869,1817,1348,1720,1108,186,1452,1134,478,1776,1265,156,92,485,350,193,204,137,69,80,84,75,59,74,63,34,82,66,61,53,62,56,38,33,40,32,37,2,39,3,1326,71])).
% 8.36/8.33 cnf(1926,plain,
% 8.36/8.33 (P5(f12(a1,a1,a17),f7(a1,f12(a1,a1,a17)))),
% 8.36/8.33 inference(scs_inference,[],[117,110,1847,1840,1851,1841,1849,1858,1819,1832,1674,1883,1864,1869,1817,1348,1720,1108,186,1452,1134,478,1776,1265,156,92,485,350,193,204,137,69,80,84,75,59,74,63,34,82,66,61,53,62,56,38,33,40,32,37,2,39,3,1326,71,79,68,67])).
% 8.36/8.33 cnf(1944,plain,
% 8.36/8.33 (P5(f12(a15,a15,a17),f14(f12(a15,a15,a17),a15))),
% 8.36/8.33 inference(scs_inference,[],[110,1751,1849,1764,156,84,75])).
% 8.36/8.33 cnf(1959,plain,
% 8.36/8.33 (E(f5(f9(a16,a15),x19591),f5(f18(a15,a16),x19591))),
% 8.36/8.33 inference(rename_variables,[],[498])).
% 8.36/8.33 cnf(1960,plain,
% 8.36/8.33 (P5(f12(f9(a16,a15),f9(a16,a15),f2(a16)),f18(a15,a16))),
% 8.36/8.33 inference(scs_inference,[],[110,1791,1926,1821,1882,1920,1751,1849,1764,498,178,1776,1864,1184,186,156,484,84,75,83,74,63,55,82,41,34,66])).
% 8.36/8.33 cnf(1964,plain,
% 8.36/8.33 (~P5(f5(f18(a15,a16),a1),f7(a1,f12(a1,a1,a17)))),
% 8.36/8.33 inference(scs_inference,[],[110,1791,1926,1821,1882,1920,1878,1751,1849,1764,498,178,1776,1864,1315,1184,186,156,484,84,75,83,74,63,55,82,41,34,66,61])).
% 8.36/8.33 cnf(1975,plain,
% 8.36/8.33 (~P2(f5(f9(a16,a15),a1),a15)),
% 8.36/8.33 inference(scs_inference,[],[110,117,1853,1791,1926,1890,1914,1821,1907,1882,1920,1878,1751,1849,1764,475,498,1959,178,1291,1776,1864,1315,1184,186,156,484,485,84,75,83,74,63,55,82,41,34,66,61,62,56,33,40,32,37])).
% 8.36/8.33 cnf(2014,plain,
% 8.36/8.33 (P4(f12(a15,a15,a17),f14(f12(a15,a15,a17),a15))),
% 8.36/8.33 inference(scs_inference,[],[119,1964,1960,1944,1409,1890,297,1849,92,86,75,59,83])).
% 8.36/8.33 cnf(2058,plain,
% 8.36/8.33 ($false),
% 8.36/8.33 inference(scs_inference,[],[2014,1975,1882,1647,51,59]),
% 8.36/8.33 ['proof']).
% 8.36/8.33 % SZS output end Proof
% 8.36/8.33 % Total time :7.650000s
%------------------------------------------------------------------------------