TSTP Solution File: GEO084-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO084-1 : 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 : n021.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 22:42:51 EDT 2023
% Result : Unsatisfiable 14.69s 14.76s
% Output : CNFRefutation 14.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO084-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.11/0.33 % Computer : n021.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 29 20:18:14 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.17/0.57 start to proof:theBenchmark
% 14.67/14.76 %-------------------------------------------
% 14.67/14.76 % File :CSE---1.6
% 14.67/14.76 % Problem :theBenchmark
% 14.67/14.76 % Transform :cnf
% 14.67/14.76 % Format :tptp:raw
% 14.67/14.76 % Command :java -jar mcs_scs.jar %d %s
% 14.67/14.76
% 14.67/14.76 % Result :Theorem 14.120000s
% 14.67/14.76 % Output :CNFRefutation 14.120000s
% 14.67/14.76 %-------------------------------------------
% 14.69/14.76 %--------------------------------------------------------------------------
% 14.69/14.76 % File : GEO084-1 : TPTP v8.1.2. Released v2.4.0.
% 14.69/14.76 % Domain : Geometry (Oriented curves)
% 14.69/14.76 % Problem : Sum is monotone, part 2
% 14.69/14.76 % Version : [EHK99] axioms.
% 14.69/14.76 % English :
% 14.69/14.76
% 14.69/14.76 % Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv
% 14.69/14.76 % : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% 14.69/14.76 % Source : [TPTP]
% 14.69/14.76 % Names :
% 14.69/14.76
% 14.69/14.76 % Status : Unsatisfiable
% 14.69/14.76 % Rating : 0.24 v8.1.0, 0.11 v7.5.0, 0.16 v7.4.0, 0.24 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.18 v6.2.0, 0.10 v6.1.0, 0.21 v6.0.0, 0.20 v5.5.0, 0.50 v5.3.0, 0.44 v5.2.0, 0.38 v5.1.0, 0.47 v5.0.0, 0.29 v4.1.0, 0.54 v4.0.1, 0.64 v4.0.0, 0.55 v3.7.0, 0.30 v3.5.0, 0.36 v3.4.0, 0.25 v3.3.0, 0.36 v3.2.0, 0.31 v3.1.0, 0.27 v2.7.0, 0.25 v2.6.0, 0.22 v2.5.0, 0.44 v2.4.0
% 14.69/14.76 % Syntax : Number of clauses : 52 ( 5 unt; 21 nHn; 47 RR)
% 14.69/14.76 % Number of literals : 158 ( 21 equ; 79 neg)
% 14.69/14.76 % Maximal clause size : 12 ( 3 avg)
% 14.69/14.76 % Maximal term depth : 3 ( 1 avg)
% 14.69/14.76 % Number of predicates : 8 ( 7 usr; 0 prp; 1-3 aty)
% 14.69/14.76 % Number of functors : 18 ( 18 usr; 4 con; 0-3 aty)
% 14.69/14.76 % Number of variables : 126 ( 10 sgn)
% 14.69/14.76 % SPC : CNF_UNS_RFO_SEQ_NHN
% 14.69/14.76
% 14.69/14.76 % Comments : Created by tptp2X -f tptp -t clausify:otter GEO084+1.p
% 14.69/14.76 %--------------------------------------------------------------------------
% 14.69/14.76 %----Include simple curve axioms
% 14.69/14.76 include('Axioms/GEO004-0.ax').
% 14.69/14.76 %--------------------------------------------------------------------------
% 14.69/14.76 cnf(corollary_2_6_2_67,negated_conjecture,
% 14.69/14.76 part_of(sk14,sk16) ).
% 14.69/14.76
% 14.69/14.76 cnf(corollary_2_6_2_68,negated_conjecture,
% 14.69/14.76 part_of(sk15,sk16) ).
% 14.69/14.76
% 14.69/14.76 cnf(corollary_2_6_2_69,negated_conjecture,
% 14.69/14.76 meet(sk17,sk14,sk15) ).
% 14.69/14.76
% 14.69/14.76 cnf(corollary_2_6_2_70,negated_conjecture,
% 14.69/14.76 ~ part_of(sum(sk14,sk15),sk16) ).
% 14.69/14.76
% 14.69/14.76 %--------------------------------------------------------------------------
% 14.69/14.76 %-------------------------------------------
% 14.69/14.76 % Proof found
% 14.69/14.76 % SZS status Theorem for theBenchmark
% 14.69/14.76 % SZS output start Proof
% 14.69/14.77 %ClaNum:90(EqnAxiom:43)
% 14.69/14.77 %VarNum:331(SingletonVarNum:113)
% 14.69/14.77 %MaxLitNum:12
% 14.69/14.77 %MaxfuncDepth:2
% 14.69/14.77 %SharedTerms:9
% 14.69/14.77 %goalClause: 44 45 47 48
% 14.69/14.77 %singleGoalClaCount:4
% 14.69/14.77 [44]P1(a1,a15)
% 14.69/14.77 [45]P1(a16,a15)
% 14.69/14.77 [47]P6(a17,a1,a16)
% 14.69/14.77 [48]~P1(f18(a1,a16),a15)
% 14.69/14.77 [46]P2(f2(x461),x461)
% 14.69/14.77 [49]P3(x491)+P4(f3(x491),x491)
% 14.69/14.77 [51]~P7(x511)+P4(f13(x511),x511)
% 14.69/14.77 [50]P7(x501)+~P4(x502,x501)
% 14.69/14.77 [53]~P3(x531)+~P4(x532,x531)
% 14.69/14.77 [54]~P4(x541,x542)+P5(x541,x542)
% 14.69/14.77 [55]~P2(x551,x552)+P5(x551,x552)
% 14.69/14.77 [56]~P2(x561,x562)+~P4(x561,x562)
% 14.69/14.77 [57]~P4(x571,x572)+~E(f4(x571,x572),x571)
% 14.69/14.77 [59]P1(x591,x592)+P5(f5(x591,x592),x591)
% 14.69/14.77 [63]~P4(x631,x632)+P4(f4(x631,x632),x632)
% 14.69/14.77 [70]P1(x701,x702)+~P5(f5(x701,x702),x702)
% 14.69/14.77 [77]~P2(x771,x772)+P6(x771,f14(x771,x772),f6(x771,x772))
% 14.69/14.77 [72]~P2(x721,x722)+E(f18(f14(x721,x722),f6(x721,x722)),x722)
% 14.69/14.77 [73]P5(x731,x732)+~P6(x731,x733,x732)
% 14.69/14.77 [74]P5(x741,x742)+~P6(x741,x742,x743)
% 14.69/14.77 [75]~P6(x753,x752,x751)+E(f9(x751,x752),f18(x752,x751))
% 14.69/14.77 [52]P7(x521)+~P1(x521,x522)+E(x521,x522)
% 14.69/14.77 [58]P2(x581,x582)+~P5(x581,x582)+P4(x581,x582)
% 14.69/14.77 [66]~P5(x661,x662)+P4(x661,x662)+P5(x661,f7(x662,x661))
% 14.69/14.77 [67]~P5(x671,x672)+P4(x671,x672)+P5(x671,f11(x672,x671))
% 14.69/14.77 [68]~P5(x681,x682)+P4(x681,x682)+P1(f7(x682,x681),x682)
% 14.69/14.77 [69]~P5(x691,x692)+P4(x691,x692)+P1(f11(x692,x691),x692)
% 14.69/14.77 [71]E(x711,x712)+P5(f8(x711,x712),x712)+P5(f8(x711,x712),x711)
% 14.69/14.77 [76]E(x761,x762)+~P5(f8(x761,x762),x762)+~P5(f8(x761,x762),x761)
% 14.69/14.77 [78]~P5(x781,x782)+P4(x781,x782)+~P1(f7(x782,x781),f11(x782,x781))
% 14.69/14.77 [79]~P5(x791,x792)+P4(x791,x792)+~P1(f11(x792,x791),f7(x792,x791))
% 14.69/14.77 [60]~P5(x601,x603)+P5(x601,x602)+~P1(x603,x602)
% 14.69/14.77 [88]~P5(f10(x883,x882,x881),x881)+~P5(f10(x883,x882,x881),x882)+E(x881,f18(x882,x883))
% 14.69/14.77 [89]~P5(f10(x893,x892,x891),x891)+~P5(f10(x893,x892,x891),x893)+E(x891,f18(x892,x893))
% 14.69/14.77 [61]~P5(x611,x614)+P5(x611,x612)+~E(x612,f18(x613,x614))
% 14.69/14.77 [62]~P5(x621,x623)+P5(x621,x622)+~E(x622,f18(x623,x624))
% 14.69/14.77 [84]~P5(x841,x843)+~P5(x841,x842)+P6(x841,x842,x843)+P5(f12(x843,x842,x841),x843)
% 14.69/14.77 [85]~P5(x851,x853)+~P5(x851,x852)+P6(x851,x852,x853)+P5(f12(x853,x852,x851),x852)
% 14.69/14.77 [87]P5(f10(x873,x872,x871),x871)+P5(f10(x873,x872,x871),x872)+P5(f10(x873,x872,x871),x873)+E(x871,f18(x872,x873))
% 14.69/14.77 [81]~P5(x811,x812)+P4(x811,x812)+~P6(x814,x813,x812)+~P5(x811,x813)
% 14.69/14.77 [82]~P5(x821,x822)+P4(x821,x822)+~P6(x824,x822,x823)+~P5(x821,x823)
% 14.69/14.77 [65]~P5(x651,x654)+P5(x651,x652)+P5(x651,x653)+~E(x654,f18(x653,x652))
% 14.69/14.77 [90]~P5(x901,x903)+~P5(x901,x902)+P6(x901,x902,x903)+~P4(f12(x903,x902,x901),x903)+~P4(f12(x903,x902,x901),x902)
% 14.69/14.77 [83]~P3(x834)+~P4(x831,x832)+P6(x831,x832,x833)+~P6(x835,x832,x833)+~E(x834,f18(x832,x833))
% 14.69/14.77 [64]E(x643,x641)+~P4(x641,x644)+~P4(x643,x644)+E(x641,x642)+E(x643,x642)+~P4(x642,x644)
% 14.69/14.77 [80]P1(x802,x801)+~P1(x802,x803)+~P5(x804,x802)+~P4(x804,x803)+P1(x801,x802)+~P1(x801,x803)+~P5(x804,x801)
% 14.69/14.77 [86]P1(x862,x861)+P1(x862,x863)+P1(x863,x861)+P1(x863,x862)+~P1(x862,x864)+~P1(x863,x864)+~P4(x865,x862)+~P4(x865,x863)+P1(x861,x862)+P1(x861,x863)+~P1(x861,x864)+~P4(x865,x861)
% 14.69/14.77 %EqnAxiom
% 14.69/14.77 [1]E(x11,x11)
% 14.69/14.77 [2]E(x22,x21)+~E(x21,x22)
% 14.69/14.77 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 14.69/14.77 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 14.69/14.77 [5]~E(x51,x52)+E(f18(x51,x53),f18(x52,x53))
% 14.69/14.77 [6]~E(x61,x62)+E(f18(x63,x61),f18(x63,x62))
% 14.69/14.77 [7]~E(x71,x72)+E(f3(x71),f3(x72))
% 14.69/14.77 [8]~E(x81,x82)+E(f13(x81),f13(x82))
% 14.69/14.77 [9]~E(x91,x92)+E(f4(x91,x93),f4(x92,x93))
% 14.69/14.77 [10]~E(x101,x102)+E(f4(x103,x101),f4(x103,x102))
% 14.69/14.77 [11]~E(x111,x112)+E(f5(x111,x113),f5(x112,x113))
% 14.69/14.77 [12]~E(x121,x122)+E(f5(x123,x121),f5(x123,x122))
% 14.69/14.77 [13]~E(x131,x132)+E(f12(x131,x133,x134),f12(x132,x133,x134))
% 14.69/14.77 [14]~E(x141,x142)+E(f12(x143,x141,x144),f12(x143,x142,x144))
% 14.69/14.77 [15]~E(x151,x152)+E(f12(x153,x154,x151),f12(x153,x154,x152))
% 14.69/14.77 [16]~E(x161,x162)+E(f10(x161,x163,x164),f10(x162,x163,x164))
% 14.69/14.77 [17]~E(x171,x172)+E(f10(x173,x171,x174),f10(x173,x172,x174))
% 14.69/14.77 [18]~E(x181,x182)+E(f10(x183,x184,x181),f10(x183,x184,x182))
% 14.69/14.77 [19]~E(x191,x192)+E(f7(x191,x193),f7(x192,x193))
% 14.69/14.77 [20]~E(x201,x202)+E(f7(x203,x201),f7(x203,x202))
% 14.69/14.77 [21]~E(x211,x212)+E(f11(x211,x213),f11(x212,x213))
% 14.69/14.77 [22]~E(x221,x222)+E(f11(x223,x221),f11(x223,x222))
% 14.69/14.77 [23]~E(x231,x232)+E(f14(x231,x233),f14(x232,x233))
% 14.69/14.77 [24]~E(x241,x242)+E(f14(x243,x241),f14(x243,x242))
% 14.69/14.77 [25]~E(x251,x252)+E(f6(x251,x253),f6(x252,x253))
% 14.69/14.77 [26]~E(x261,x262)+E(f6(x263,x261),f6(x263,x262))
% 14.69/14.77 [27]~E(x271,x272)+E(f8(x271,x273),f8(x272,x273))
% 14.69/14.77 [28]~E(x281,x282)+E(f8(x283,x281),f8(x283,x282))
% 14.69/14.77 [29]~E(x291,x292)+E(f9(x291,x293),f9(x292,x293))
% 14.69/14.77 [30]~E(x301,x302)+E(f9(x303,x301),f9(x303,x302))
% 14.69/14.77 [31]P1(x312,x313)+~E(x311,x312)+~P1(x311,x313)
% 14.69/14.77 [32]P1(x323,x322)+~E(x321,x322)+~P1(x323,x321)
% 14.69/14.77 [33]P4(x332,x333)+~E(x331,x332)+~P4(x331,x333)
% 14.69/14.77 [34]P4(x343,x342)+~E(x341,x342)+~P4(x343,x341)
% 14.69/14.77 [35]P2(x352,x353)+~E(x351,x352)+~P2(x351,x353)
% 14.69/14.77 [36]P2(x363,x362)+~E(x361,x362)+~P2(x363,x361)
% 14.69/14.77 [37]P6(x372,x373,x374)+~E(x371,x372)+~P6(x371,x373,x374)
% 14.69/14.77 [38]P6(x383,x382,x384)+~E(x381,x382)+~P6(x383,x381,x384)
% 14.69/14.77 [39]P6(x393,x394,x392)+~E(x391,x392)+~P6(x393,x394,x391)
% 14.69/14.77 [40]P5(x402,x403)+~E(x401,x402)+~P5(x401,x403)
% 14.69/14.77 [41]P5(x413,x412)+~E(x411,x412)+~P5(x413,x411)
% 14.69/14.77 [42]~P3(x421)+P3(x422)+~E(x421,x422)
% 14.69/14.77 [43]~P7(x431)+P7(x432)+~E(x431,x432)
% 14.69/14.77
% 14.69/14.77 %-------------------------------------------
% 14.69/14.78 cnf(92,plain,
% 14.69/14.78 (~P5(f10(a16,a1,a1),a1)),
% 14.69/14.78 inference(scs_inference,[],[44,48,31,88])).
% 14.69/14.78 cnf(93,plain,
% 14.69/14.78 (P5(f10(a16,a1,a1),a16)),
% 14.69/14.78 inference(scs_inference,[],[44,48,31,88,87])).
% 14.69/14.78 cnf(95,plain,
% 14.69/14.78 (P5(a17,a1)),
% 14.69/14.78 inference(scs_inference,[],[44,47,48,31,88,87,2,74])).
% 14.69/14.78 cnf(97,plain,
% 14.69/14.78 (P5(a17,a16)),
% 14.69/14.78 inference(scs_inference,[],[44,47,48,31,88,87,2,74,73])).
% 14.69/14.78 cnf(99,plain,
% 14.69/14.78 (~P4(f2(x991),x991)),
% 14.69/14.78 inference(scs_inference,[],[44,47,48,46,31,88,87,2,74,73,56])).
% 14.69/14.78 cnf(101,plain,
% 14.69/14.78 (P5(f2(x1011),x1011)),
% 14.69/14.78 inference(scs_inference,[],[44,47,48,46,31,88,87,2,74,73,56,55])).
% 14.69/14.78 cnf(103,plain,
% 14.69/14.78 (~P5(f5(f18(a1,a16),a15),a15)),
% 14.69/14.78 inference(scs_inference,[],[44,47,48,46,31,88,87,2,74,73,56,55,70])).
% 14.69/14.78 cnf(105,plain,
% 14.69/14.78 (P5(f5(f18(a1,a16),a15),f18(a1,a16))),
% 14.69/14.78 inference(scs_inference,[],[44,47,48,46,31,88,87,2,74,73,56,55,70,59])).
% 14.69/14.78 cnf(107,plain,
% 14.69/14.78 (P6(f2(x1071),f14(f2(x1071),x1071),f6(f2(x1071),x1071))),
% 14.69/14.78 inference(scs_inference,[],[44,47,48,46,31,88,87,2,74,73,56,55,70,59,77])).
% 14.69/14.78 cnf(109,plain,
% 14.69/14.78 (E(f9(a16,a1),f18(a1,a16))),
% 14.69/14.78 inference(scs_inference,[],[44,47,48,46,31,88,87,2,74,73,56,55,70,59,77,75])).
% 14.69/14.78 cnf(112,plain,
% 14.69/14.78 (~E(a17,f10(a16,a1,a1))),
% 14.69/14.78 inference(scs_inference,[],[44,47,48,46,31,88,87,2,74,73,56,55,70,59,77,75,41,40])).
% 14.69/14.78 cnf(113,plain,
% 14.69/14.78 (~P4(f2(f18(a1,a16)),f9(a16,a1))),
% 14.69/14.78 inference(scs_inference,[],[44,47,48,46,31,88,87,2,74,73,56,55,70,59,77,75,41,40,34])).
% 14.69/14.78 cnf(116,plain,
% 14.69/14.78 (~P1(a16,a1)),
% 14.69/14.78 inference(scs_inference,[],[44,47,48,46,31,88,87,2,74,73,56,55,70,59,77,75,41,40,34,33,3,60])).
% 14.69/14.78 cnf(122,plain,
% 14.69/14.78 (~P6(x1221,f18(a1,a16),f18(a1,a16))),
% 14.69/14.78 inference(scs_inference,[],[44,47,48,46,31,88,87,2,74,73,56,55,70,59,77,75,41,40,34,33,3,60,62,61,82])).
% 14.69/14.78 cnf(124,plain,
% 14.69/14.78 (~E(a16,f18(a1,a1))),
% 14.69/14.78 inference(scs_inference,[],[44,47,48,46,31,88,87,2,74,73,56,55,70,59,77,75,41,40,34,33,3,60,62,61,82,65])).
% 14.69/14.78 cnf(155,plain,
% 14.69/14.78 (E(f6(x1551,f9(a16,a1)),f6(x1551,f18(a1,a16)))),
% 14.69/14.78 inference(scs_inference,[],[109,30,29,28,27,26])).
% 14.69/14.78 cnf(157,plain,
% 14.69/14.78 (E(f14(x1571,f9(a16,a1)),f14(x1571,f18(a1,a16)))),
% 14.69/14.78 inference(scs_inference,[],[109,30,29,28,27,26,25,24])).
% 14.69/14.78 cnf(163,plain,
% 14.69/14.78 (E(f10(x1631,x1632,f9(a16,a1)),f10(x1631,x1632,f18(a1,a16)))),
% 14.69/14.78 inference(scs_inference,[],[109,30,29,28,27,26,25,24,23,22,21,20,19,18])).
% 14.69/14.78 cnf(164,plain,
% 14.69/14.78 (E(f10(x1641,f9(a16,a1),x1642),f10(x1641,f18(a1,a16),x1642))),
% 14.69/14.78 inference(scs_inference,[],[109,30,29,28,27,26,25,24,23,22,21,20,19,18,17])).
% 14.69/14.78 cnf(165,plain,
% 14.69/14.78 (E(f10(f9(a16,a1),x1651,x1652),f10(f18(a1,a16),x1651,x1652))),
% 14.69/14.78 inference(scs_inference,[],[109,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16])).
% 14.69/14.78 cnf(166,plain,
% 14.69/14.78 (E(f12(x1661,x1662,f9(a16,a1)),f12(x1661,x1662,f18(a1,a16)))),
% 14.69/14.78 inference(scs_inference,[],[109,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15])).
% 14.69/14.78 cnf(167,plain,
% 14.69/14.78 (E(f12(x1671,f9(a16,a1),x1672),f12(x1671,f18(a1,a16),x1672))),
% 14.69/14.78 inference(scs_inference,[],[109,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14])).
% 14.69/14.78 cnf(168,plain,
% 14.69/14.78 (E(f12(f9(a16,a1),x1681,x1682),f12(f18(a1,a16),x1681,x1682))),
% 14.69/14.78 inference(scs_inference,[],[109,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13])).
% 14.69/14.78 cnf(170,plain,
% 14.69/14.78 (E(f5(f9(a16,a1),x1701),f5(f18(a1,a16),x1701))),
% 14.69/14.78 inference(scs_inference,[],[109,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11])).
% 14.69/14.78 cnf(175,plain,
% 14.69/14.78 (E(f18(x1751,f9(a16,a1)),f18(x1751,f18(a1,a16)))),
% 14.69/14.78 inference(scs_inference,[],[109,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6])).
% 14.69/14.78 cnf(176,plain,
% 14.69/14.78 (E(f18(f9(a16,a1),x1761),f18(f18(a1,a16),x1761))),
% 14.69/14.78 inference(scs_inference,[],[109,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 14.69/14.78 cnf(177,plain,
% 14.69/14.78 (E(f2(f9(a16,a1)),f2(f18(a1,a16)))),
% 14.69/14.78 inference(scs_inference,[],[109,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 14.69/14.78 cnf(178,plain,
% 14.69/14.78 (~P5(f2(a16),a1)),
% 14.69/14.78 inference(scs_inference,[],[47,99,101,109,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81])).
% 14.69/14.78 cnf(179,plain,
% 14.69/14.78 (P5(f2(x1791),x1791)),
% 14.69/14.78 inference(rename_variables,[],[101])).
% 14.69/14.78 cnf(180,plain,
% 14.69/14.78 (~P4(f2(x1801),x1801)),
% 14.69/14.78 inference(rename_variables,[],[99])).
% 14.69/14.78 cnf(186,plain,
% 14.69/14.78 (~P5(f2(a1),a16)),
% 14.69/14.78 inference(scs_inference,[],[47,99,180,101,179,105,109,103,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,74,61,82])).
% 14.69/14.78 cnf(187,plain,
% 14.69/14.78 (P5(f2(x1871),x1871)),
% 14.69/14.78 inference(rename_variables,[],[101])).
% 14.69/14.78 cnf(188,plain,
% 14.69/14.78 (~P4(f2(x1881),x1881)),
% 14.69/14.78 inference(rename_variables,[],[99])).
% 14.69/14.78 cnf(190,plain,
% 14.69/14.78 (~P2(f5(f18(a1,a16),a15),a15)),
% 14.69/14.78 inference(scs_inference,[],[47,99,180,101,179,105,109,103,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,74,61,82,55])).
% 14.69/14.78 cnf(194,plain,
% 14.69/14.78 (P5(f2(f9(a16,a1)),f18(a1,a16))),
% 14.69/14.78 inference(scs_inference,[],[47,99,180,101,179,187,105,109,103,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,74,61,82,55,73,41])).
% 14.69/14.78 cnf(195,plain,
% 14.69/14.78 (P5(f2(x1951),x1951)),
% 14.69/14.78 inference(rename_variables,[],[101])).
% 14.69/14.78 cnf(197,plain,
% 14.69/14.78 (P2(f2(x1971),x1971)),
% 14.69/14.78 inference(rename_variables,[],[46])).
% 14.69/14.78 cnf(198,plain,
% 14.69/14.78 (~E(a15,a1)),
% 14.69/14.78 inference(scs_inference,[],[45,47,46,99,180,101,179,187,105,109,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,74,61,82,55,73,41,36,32])).
% 14.69/14.78 cnf(199,plain,
% 14.69/14.78 (~P5(f5(f18(a1,a16),a15),a1)),
% 14.69/14.78 inference(scs_inference,[],[44,45,47,46,99,180,101,179,187,105,109,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,74,61,82,55,73,41,36,32,60])).
% 14.69/14.78 cnf(203,plain,
% 14.69/14.78 (~E(f18(a1,a16),f18(a15,a15))),
% 14.69/14.78 inference(scs_inference,[],[44,45,47,46,99,180,101,179,187,105,109,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,74,61,82,55,73,41,36,32,60,62,65])).
% 14.69/14.78 cnf(205,plain,
% 14.69/14.78 (~P4(f2(f9(a16,a1)),f18(a1,a16))),
% 14.69/14.78 inference(scs_inference,[],[44,45,47,46,99,180,188,101,179,187,105,109,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,74,61,82,55,73,41,36,32,60,62,65,33])).
% 14.69/14.78 cnf(206,plain,
% 14.69/14.78 (~P4(f2(x2061),x2061)),
% 14.69/14.78 inference(rename_variables,[],[99])).
% 14.69/14.78 cnf(207,plain,
% 14.69/14.78 (E(f18(a1,a16),f9(a16,a1))),
% 14.69/14.78 inference(scs_inference,[],[44,45,47,46,99,180,188,101,179,187,105,109,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,74,61,82,55,73,41,36,32,60,62,65,33,2])).
% 14.69/14.78 cnf(208,plain,
% 14.69/14.78 (~P5(f5(f9(a16,a1),a15),a15)),
% 14.69/14.78 inference(scs_inference,[],[44,45,47,46,99,180,188,101,179,187,105,109,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,74,61,82,55,73,41,36,32,60,62,65,33,2,40])).
% 14.69/14.78 cnf(211,plain,
% 14.69/14.78 (~P1(f9(a16,a1),a15)),
% 14.69/14.78 inference(scs_inference,[],[44,45,47,48,46,197,99,180,188,101,179,187,105,109,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,74,61,82,55,73,41,36,32,60,62,65,33,2,40,35,31])).
% 14.69/14.78 cnf(212,plain,
% 14.69/14.78 (E(f9(f9(a16,a1),f9(a16,a1)),f9(f18(a1,a16),f18(a1,a16)))),
% 14.69/14.78 inference(scs_inference,[],[44,45,47,48,46,197,99,180,188,101,179,187,105,109,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,74,61,82,55,73,41,36,32,60,62,65,33,2,40,35,31,3])).
% 14.69/14.78 cnf(216,plain,
% 14.69/14.78 (P1(f11(x2161,f2(x2161)),x2161)),
% 14.69/14.78 inference(scs_inference,[],[44,45,47,48,46,197,99,180,188,206,101,179,187,195,105,109,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,74,61,82,55,73,41,36,32,60,62,65,33,2,40,35,31,3,37,58,69])).
% 14.69/14.78 cnf(217,plain,
% 14.69/14.78 (~P4(f2(x2171),x2171)),
% 14.69/14.78 inference(rename_variables,[],[99])).
% 14.69/14.78 cnf(219,plain,
% 14.69/14.78 (P1(f7(x2191,f2(x2191)),x2191)),
% 14.69/14.78 inference(scs_inference,[],[44,45,47,48,46,197,99,180,188,206,217,101,179,187,195,105,109,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,74,61,82,55,73,41,36,32,60,62,65,33,2,40,35,31,3,37,58,69,68])).
% 14.69/14.78 cnf(220,plain,
% 14.69/14.78 (~P4(f2(x2201),x2201)),
% 14.69/14.78 inference(rename_variables,[],[99])).
% 14.69/14.78 cnf(222,plain,
% 14.69/14.78 (P5(f2(x2221),f11(x2221,f2(x2221)))),
% 14.69/14.78 inference(scs_inference,[],[44,45,47,48,46,197,99,180,188,206,217,220,101,179,187,195,105,109,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,74,61,82,55,73,41,36,32,60,62,65,33,2,40,35,31,3,37,58,69,68,67])).
% 14.69/14.78 cnf(223,plain,
% 14.69/14.78 (~P4(f2(x2231),x2231)),
% 14.69/14.78 inference(rename_variables,[],[99])).
% 14.69/14.78 cnf(226,plain,
% 14.69/14.78 (P5(f2(x2261),f7(x2261,f2(x2261)))),
% 14.69/14.78 inference(scs_inference,[],[44,45,47,48,46,197,99,180,188,206,217,220,223,101,179,187,195,122,105,109,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,74,61,82,55,73,41,36,32,60,62,65,33,2,40,35,31,3,37,58,69,68,67,39,66])).
% 14.69/14.78 cnf(227,plain,
% 14.69/14.78 (~P4(f2(x2271),x2271)),
% 14.69/14.78 inference(rename_variables,[],[99])).
% 14.69/14.78 cnf(229,plain,
% 14.69/14.78 (~P1(f11(x2291,f2(x2291)),f7(x2291,f2(x2291)))),
% 14.69/14.78 inference(scs_inference,[],[44,45,47,48,46,197,99,180,188,206,217,220,223,227,101,179,187,195,122,105,109,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,74,61,82,55,73,41,36,32,60,62,65,33,2,40,35,31,3,37,58,69,68,67,39,66,79])).
% 14.69/14.78 cnf(230,plain,
% 14.69/14.78 (~P4(f2(x2301),x2301)),
% 14.69/14.78 inference(rename_variables,[],[99])).
% 14.69/14.78 cnf(236,plain,
% 14.69/14.78 (~P3(f9(a16,a1))+P6(x2361,a1,a16)+~P4(x2361,a1)),
% 14.69/14.78 inference(scs_inference,[],[44,45,47,48,46,197,99,180,188,206,217,220,223,227,230,101,179,187,195,122,105,109,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,74,61,82,55,73,41,36,32,60,62,65,33,2,40,35,31,3,37,58,69,68,67,39,66,79,78,38,83])).
% 14.69/14.78 cnf(238,plain,
% 14.69/14.78 (P6(f10(a16,a1,a1),a16,a16)+~P4(f12(a16,a16,f10(a16,a1,a1)),a16)),
% 14.69/14.78 inference(scs_inference,[],[44,45,47,48,46,197,99,180,188,206,217,220,223,227,230,101,179,187,195,122,105,109,93,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,74,61,82,55,73,41,36,32,60,62,65,33,2,40,35,31,3,37,58,69,68,67,39,66,79,78,38,83,90])).
% 14.69/14.78 cnf(244,plain,
% 14.69/14.78 (P4(a17,a16)),
% 14.69/14.78 inference(scs_inference,[],[47,95,97,81])).
% 14.69/14.78 cnf(248,plain,
% 14.69/14.78 (P5(f2(f9(a16,a1)),f18(x2481,f9(a16,a1)))),
% 14.69/14.78 inference(scs_inference,[],[47,175,194,95,97,81,56,61])).
% 14.69/14.78 cnf(250,plain,
% 14.69/14.78 (P5(f2(x2501),f14(f2(x2501),x2501))),
% 14.69/14.78 inference(scs_inference,[],[47,107,175,194,95,97,81,56,61,74])).
% 14.69/14.78 cnf(252,plain,
% 14.69/14.78 (P5(f2(x2521),f6(f2(x2521),x2521))),
% 14.69/14.78 inference(scs_inference,[],[47,107,175,194,95,97,81,56,61,74,73])).
% 14.69/14.78 cnf(254,plain,
% 14.69/14.78 (P5(f2(x2541),f18(f11(x2541,f2(x2541)),f9(a16,a1)))),
% 14.69/14.78 inference(scs_inference,[],[47,107,222,175,194,95,97,81,56,61,74,73,62])).
% 14.69/14.78 cnf(259,plain,
% 14.69/14.78 (P5(a17,a15)),
% 14.69/14.78 inference(scs_inference,[],[45,47,107,222,175,194,178,95,97,81,56,61,74,73,62,41,60])).
% 14.69/14.78 cnf(263,plain,
% 14.69/14.78 (~E(a17,f2(a1))),
% 14.69/14.78 inference(scs_inference,[],[45,47,107,222,175,194,178,186,95,97,99,81,56,61,74,73,62,41,60,33,40])).
% 14.69/14.78 cnf(265,plain,
% 14.69/14.78 (~E(f18(a15,a15),f18(a1,a16))),
% 14.69/14.78 inference(scs_inference,[],[45,47,107,222,170,175,194,203,190,178,186,95,97,99,81,56,61,74,73,62,41,60,33,40,35,2])).
% 14.69/14.78 cnf(266,plain,
% 14.69/14.78 (E(f10(x2661,f9(a16,a1),f9(a16,a1)),f10(x2661,f18(a1,a16),f18(a1,a16)))),
% 14.69/14.78 inference(scs_inference,[],[45,47,107,222,163,164,170,175,194,203,190,178,186,95,97,99,81,56,61,74,73,62,41,60,33,40,35,2,3])).
% 14.69/14.78 cnf(269,plain,
% 14.69/14.78 (P4(f4(a17,a16),a16)),
% 14.69/14.78 inference(scs_inference,[],[45,47,107,222,163,164,170,175,194,203,190,178,186,95,97,99,81,56,61,74,73,62,41,60,33,40,35,2,3,63])).
% 14.69/14.78 cnf(273,plain,
% 14.69/14.78 (P6(a17,a1,a1)+P5(f12(a1,a1,a17),a1)),
% 14.69/14.78 inference(scs_inference,[],[45,47,107,222,163,164,170,175,194,203,190,178,186,95,97,99,81,56,61,74,73,62,41,60,33,40,35,2,3,63,57,85])).
% 14.69/14.78 cnf(279,plain,
% 14.69/14.78 (P6(a17,a16,a16)+P5(f12(a16,a16,a17),a16)),
% 14.69/14.78 inference(scs_inference,[],[45,92,47,107,222,163,164,170,175,194,203,190,178,186,95,97,99,81,56,61,74,73,62,41,60,33,40,35,2,3,63,57,85,54,55,84])).
% 14.69/14.78 cnf(286,plain,
% 14.69/14.78 (P4(f3(a16),a16)),
% 14.69/14.78 inference(scs_inference,[],[244,53,50,49])).
% 14.69/14.78 cnf(288,plain,
% 14.69/14.78 (P4(f13(a16),a16)),
% 14.69/14.78 inference(scs_inference,[],[244,53,50,49,51])).
% 14.69/14.78 cnf(290,plain,
% 14.69/14.78 (P5(a17,f18(f9(a16,a1),a15))),
% 14.69/14.78 inference(scs_inference,[],[176,244,259,53,50,49,51,61])).
% 14.69/14.78 cnf(293,plain,
% 14.69/14.78 (~P6(x2931,f18(x2932,f9(a16,a1)),f18(a1,a16))),
% 14.69/14.78 inference(scs_inference,[],[176,248,244,259,205,194,53,50,49,51,61,81])).
% 14.69/14.78 cnf(297,plain,
% 14.69/14.78 (~P4(f5(f18(a1,a16),a15),a1)),
% 14.69/14.78 inference(scs_inference,[],[92,176,248,244,259,199,205,194,53,50,49,51,61,81,73,54])).
% 14.69/14.78 cnf(299,plain,
% 14.69/14.78 (~P1(f7(a1,f2(a1)),a16)),
% 14.69/14.78 inference(scs_inference,[],[92,226,176,248,244,259,199,205,194,186,53,50,49,51,61,81,73,54,60])).
% 14.69/14.78 cnf(300,plain,
% 14.69/14.78 (P5(f2(x3001),f7(x3001,f2(x3001)))),
% 14.69/14.78 inference(rename_variables,[],[226])).
% 14.69/14.78 cnf(311,plain,
% 14.69/14.78 (~P4(f5(f9(a16,a1),a15),a1)),
% 14.69/14.78 inference(scs_inference,[],[92,219,226,300,176,248,244,259,199,205,170,194,186,175,53,50,49,51,61,81,73,54,60,62,74,32,41,33])).
% 14.69/14.78 cnf(313,plain,
% 14.69/14.78 (P2(f2(f18(a1,a16)),f9(a16,a1))),
% 14.69/14.78 inference(scs_inference,[],[92,46,219,226,300,176,248,177,244,259,199,205,170,194,186,175,53,50,49,51,61,81,73,54,60,62,74,32,41,33,35])).
% 14.69/14.78 cnf(315,plain,
% 14.69/14.78 (E(f10(f18(a1,a16),x3151,x3152),f10(f9(a16,a1),x3151,x3152))),
% 14.69/14.78 inference(scs_inference,[],[92,46,219,226,300,165,176,248,177,244,259,199,205,170,194,186,175,53,50,49,51,61,81,73,54,60,62,74,32,41,33,35,2])).
% 14.69/14.78 cnf(317,plain,
% 14.69/14.78 (~E(f2(a1),f10(a16,a1,a1))),
% 14.69/14.78 inference(scs_inference,[],[92,46,219,226,300,165,176,248,177,265,244,259,199,205,101,170,194,186,175,109,53,50,49,51,61,81,73,54,60,62,74,32,41,33,35,2,3,40])).
% 14.69/14.78 cnf(321,plain,
% 14.69/14.78 (P5(f2(f18(a1,a16)),f9(a16,a1))),
% 14.69/14.78 inference(scs_inference,[],[92,46,219,226,300,165,176,248,177,265,244,259,199,263,205,101,170,194,112,186,175,109,53,50,49,51,61,81,73,54,60,62,74,32,41,33,35,2,3,40,64,55])).
% 14.69/14.78 cnf(326,plain,
% 14.69/14.78 (P1(a16,a16)),
% 14.69/14.78 inference(scs_inference,[],[45,92,46,219,226,300,165,176,248,177,265,244,259,199,263,205,101,170,194,112,186,175,109,53,50,49,51,61,81,73,54,60,62,74,32,41,33,35,2,3,40,64,55,42,89,86])).
% 14.69/14.78 cnf(341,plain,
% 14.69/14.78 (~P6(x3411,f9(a16,a1),f14(f2(f18(a1,a16)),f18(a1,a16)))),
% 14.69/14.78 inference(scs_inference,[],[250,113,321,82])).
% 14.69/14.78 cnf(342,plain,
% 14.69/14.78 (P5(f2(x3421),f14(f2(x3421),x3421))),
% 14.69/14.78 inference(rename_variables,[],[250])).
% 14.69/14.78 cnf(346,plain,
% 14.69/14.78 (~E(a1,f18(x3461,f18(a1,a16)))),
% 14.69/14.78 inference(scs_inference,[],[250,113,321,269,199,105,82,56,61])).
% 14.69/14.78 cnf(348,plain,
% 14.69/14.78 (~P6(x3481,f14(f2(f18(a1,a16)),f18(a1,a16)),f9(a16,a1))),
% 14.69/14.78 inference(scs_inference,[],[250,342,113,321,269,199,105,82,56,61,81])).
% 14.69/14.78 cnf(351,plain,
% 14.69/14.78 (P5(f3(a16),a16)),
% 14.69/14.78 inference(scs_inference,[],[250,342,113,321,269,286,199,105,82,56,61,81,54])).
% 14.69/14.78 cnf(353,plain,
% 14.69/14.78 (~P2(f5(f18(a1,a16),a15),a1)),
% 14.69/14.78 inference(scs_inference,[],[250,342,113,321,269,286,199,105,82,56,61,81,54,55])).
% 14.69/14.78 cnf(355,plain,
% 14.69/14.78 (~P6(x3551,f18(x3552,f9(a16,a1)),f9(a16,a1))),
% 14.69/14.78 inference(scs_inference,[],[250,342,293,113,321,269,286,199,105,109,82,56,61,81,54,55,39])).
% 14.69/14.78 cnf(356,plain,
% 14.69/14.78 (~P5(f10(a16,a1,a1),f11(a1,f2(a1)))),
% 14.69/14.78 inference(scs_inference,[],[92,216,250,342,293,113,321,269,286,199,105,109,82,56,61,81,54,55,39,60])).
% 14.69/14.78 cnf(363,plain,
% 14.69/14.78 (~E(a1,a15)),
% 14.69/14.78 inference(scs_inference,[],[92,216,250,342,293,113,321,198,290,269,286,176,199,105,109,82,56,61,81,54,55,39,60,62,41,2])).
% 14.69/14.78 cnf(364,plain,
% 14.69/14.78 (E(f10(f18(a1,a16),f9(a16,a1),f9(a16,a1)),f10(f9(a16,a1),f18(a1,a16),f18(a1,a16)))),
% 14.69/14.78 inference(scs_inference,[],[92,216,250,342,315,293,113,321,198,290,269,286,266,176,199,105,109,82,56,61,81,54,55,39,60,62,41,2,3])).
% 14.69/14.78 cnf(367,plain,
% 14.69/14.78 (~P5(f5(f9(a16,a1),a15),a1)),
% 14.69/14.78 inference(scs_inference,[],[92,216,250,342,315,293,113,321,198,290,269,286,266,176,199,170,105,109,82,56,61,81,54,55,39,60,62,41,2,3,40])).
% 14.69/14.78 cnf(395,plain,
% 14.69/14.78 (P5(f5(f9(a16,a1),a15),f9(a16,a1))),
% 14.69/14.78 inference(scs_inference,[],[211,59])).
% 14.69/14.78 cnf(397,plain,
% 14.69/14.78 (P4(f2(x3971),f14(f2(x3971),x3971))),
% 14.69/14.78 inference(scs_inference,[],[252,211,250,107,59,82])).
% 14.69/14.78 cnf(398,plain,
% 14.69/14.78 (P6(f2(x3981),f14(f2(x3981),x3981),f6(f2(x3981),x3981))),
% 14.69/14.78 inference(rename_variables,[],[107])).
% 14.69/14.78 cnf(399,plain,
% 14.69/14.78 (P5(f2(x3991),f6(f2(x3991),x3991))),
% 14.69/14.78 inference(rename_variables,[],[252])).
% 14.69/14.78 cnf(401,plain,
% 14.69/14.78 (P5(f10(a16,a1,a1),f18(f9(a16,a1),a16))),
% 14.69/14.78 inference(scs_inference,[],[93,252,211,250,176,107,59,82,61])).
% 14.69/14.78 cnf(402,plain,
% 14.69/14.78 (E(f18(f9(a16,a1),x4021),f18(f18(a1,a16),x4021))),
% 14.69/14.78 inference(rename_variables,[],[176])).
% 14.69/14.78 cnf(406,plain,
% 14.69/14.78 (P7(a1)),
% 14.69/14.78 inference(scs_inference,[],[93,252,208,363,211,250,176,107,44,59,82,61,73,52])).
% 14.69/14.78 cnf(408,plain,
% 14.69/14.78 (~P4(f5(f9(a16,a1),a15),a15)),
% 14.69/14.78 inference(scs_inference,[],[93,252,208,363,211,250,176,107,44,59,82,61,73,52,54])).
% 14.69/14.78 cnf(412,plain,
% 14.69/14.78 (~E(f14(f2(f9(a16,a1)),f9(a16,a1)),f18(a1,a16))),
% 14.69/14.78 inference(scs_inference,[],[93,252,208,356,363,211,250,205,176,107,44,59,82,61,73,52,54,74,34])).
% 14.69/14.78 cnf(413,plain,
% 14.69/14.78 (P5(f2(a1),a15)),
% 14.69/14.78 inference(scs_inference,[],[93,252,208,356,363,211,250,205,101,176,107,44,59,82,61,73,52,54,74,34,60])).
% 14.69/14.78 cnf(414,plain,
% 14.69/14.78 (P5(f2(x4141),x4141)),
% 14.69/14.78 inference(rename_variables,[],[101])).
% 14.69/14.78 cnf(418,plain,
% 14.69/14.78 (P5(f2(f18(a1,a16)),f18(f9(a16,a1),x4181))),
% 14.69/14.78 inference(scs_inference,[],[93,252,208,356,363,211,250,205,101,414,176,402,321,113,107,44,59,82,61,73,52,54,74,34,60,81,62])).
% 14.69/14.79 cnf(427,plain,
% 14.69/14.79 (E(f12(x4271,f9(a16,a1),f9(a16,a1)),f12(x4271,f18(a1,a16),f18(a1,a16)))),
% 14.69/14.79 inference(scs_inference,[],[93,252,399,364,348,208,356,363,211,166,167,250,178,205,101,414,176,402,321,113,107,398,44,59,82,61,73,52,54,74,34,60,81,62,39,41,2,3])).
% 14.69/14.79 cnf(434,plain,
% 14.69/14.79 (E(f8(x4341,f18(a1,a16)),f8(x4341,f9(a16,a1)))),
% 14.69/14.79 inference(scs_inference,[],[93,252,399,364,348,208,356,363,211,166,167,207,250,178,205,101,414,176,402,321,113,107,398,186,44,59,82,61,73,52,54,74,34,60,81,62,39,41,2,3,40,69,29,28])).
% 14.69/14.79 cnf(435,plain,
% 14.69/14.79 (E(f6(x4351,f18(a1,a16)),f6(x4351,f9(a16,a1)))),
% 14.69/14.79 inference(scs_inference,[],[93,252,399,364,348,208,356,363,211,166,167,207,250,178,205,101,414,176,402,321,113,107,398,186,44,59,82,61,73,52,54,74,34,60,81,62,39,41,2,3,40,69,29,28,26])).
% 14.69/14.79 cnf(436,plain,
% 14.69/14.79 (E(f14(x4361,f18(a1,a16)),f14(x4361,f9(a16,a1)))),
% 14.69/14.79 inference(scs_inference,[],[93,252,399,364,348,208,356,363,211,166,167,207,250,178,205,101,414,176,402,321,113,107,398,186,44,59,82,61,73,52,54,74,34,60,81,62,39,41,2,3,40,69,29,28,26,24])).
% 14.69/14.79 cnf(438,plain,
% 14.69/14.79 (E(f11(x4381,f18(a1,a16)),f11(x4381,f9(a16,a1)))),
% 14.69/14.79 inference(scs_inference,[],[93,252,399,364,348,208,356,363,211,166,167,207,250,178,205,101,414,176,402,321,113,107,398,186,44,59,82,61,73,52,54,74,34,60,81,62,39,41,2,3,40,69,29,28,26,24,23,22])).
% 14.69/14.79 cnf(439,plain,
% 14.69/14.79 (E(f7(x4391,f18(a1,a16)),f7(x4391,f9(a16,a1)))),
% 14.69/14.79 inference(scs_inference,[],[93,252,399,364,348,208,356,363,211,166,167,207,250,178,205,101,414,176,402,321,113,107,398,186,44,59,82,61,73,52,54,74,34,60,81,62,39,41,2,3,40,69,29,28,26,24,23,22,20])).
% 14.69/14.79 cnf(440,plain,
% 14.69/14.79 (E(f7(f18(a1,a16),x4401),f7(f9(a16,a1),x4401))),
% 14.69/14.79 inference(scs_inference,[],[93,252,399,364,348,208,356,363,211,166,167,207,250,178,205,101,414,176,402,321,113,107,398,186,44,59,82,61,73,52,54,74,34,60,81,62,39,41,2,3,40,69,29,28,26,24,23,22,20,19])).
% 14.69/14.79 cnf(441,plain,
% 14.69/14.79 (E(f10(x4411,x4412,f18(a1,a16)),f10(x4411,x4412,f9(a16,a1)))),
% 14.69/14.79 inference(scs_inference,[],[93,252,399,364,348,208,356,363,211,166,167,207,250,178,205,101,414,176,402,321,113,107,398,186,44,59,82,61,73,52,54,74,34,60,81,62,39,41,2,3,40,69,29,28,26,24,23,22,20,19,18])).
% 14.69/14.79 cnf(442,plain,
% 14.69/14.79 (E(f12(x4421,x4422,f18(a1,a16)),f12(x4421,x4422,f9(a16,a1)))),
% 14.69/14.79 inference(scs_inference,[],[93,252,399,364,348,208,356,363,211,166,167,207,250,178,205,101,414,176,402,321,113,107,398,186,44,59,82,61,73,52,54,74,34,60,81,62,39,41,2,3,40,69,29,28,26,24,23,22,20,19,18,15])).
% 14.69/14.79 cnf(443,plain,
% 14.69/14.79 (E(f5(f18(a1,a16),x4431),f5(f9(a16,a1),x4431))),
% 14.69/14.79 inference(scs_inference,[],[93,252,399,364,348,208,356,363,211,166,167,207,250,178,205,101,414,176,402,321,113,107,398,186,44,59,82,61,73,52,54,74,34,60,81,62,39,41,2,3,40,69,29,28,26,24,23,22,20,19,18,15,11])).
% 14.69/14.79 cnf(444,plain,
% 14.69/14.79 (E(f4(x4441,f18(a1,a16)),f4(x4441,f9(a16,a1)))),
% 14.69/14.79 inference(scs_inference,[],[93,252,399,364,348,208,356,363,211,166,167,207,250,178,205,101,414,176,402,321,113,107,398,186,44,59,82,61,73,52,54,74,34,60,81,62,39,41,2,3,40,69,29,28,26,24,23,22,20,19,18,15,11,10])).
% 14.69/14.79 cnf(446,plain,
% 14.69/14.79 (E(f18(x4461,f18(a1,a16)),f18(x4461,f9(a16,a1)))),
% 14.69/14.79 inference(scs_inference,[],[93,252,399,364,348,208,356,363,211,166,167,207,250,178,205,101,414,176,402,321,113,107,398,186,44,59,82,61,73,52,54,74,34,60,81,62,39,41,2,3,40,69,29,28,26,24,23,22,20,19,18,15,11,10,7,6])).
% 14.69/14.79 cnf(447,plain,
% 14.69/14.79 (E(f18(f18(a1,a16),x4471),f18(f9(a16,a1),x4471))),
% 14.69/14.79 inference(scs_inference,[],[93,252,399,364,348,208,356,363,211,166,167,207,250,178,205,101,414,176,402,321,113,107,398,186,44,59,82,61,73,52,54,74,34,60,81,62,39,41,2,3,40,69,29,28,26,24,23,22,20,19,18,15,11,10,7,6,5])).
% 14.69/14.79 cnf(449,plain,
% 14.69/14.79 (E(f8(f18(a1,a16),x4491),f8(f9(a16,a1),x4491))),
% 14.69/14.79 inference(scs_inference,[],[93,252,399,364,348,208,356,363,211,166,167,207,250,178,205,101,414,176,402,321,113,107,398,186,44,59,82,61,73,52,54,74,34,60,81,62,39,41,2,3,40,69,29,28,26,24,23,22,20,19,18,15,11,10,7,6,5,30,27])).
% 14.69/14.79 cnf(451,plain,
% 14.69/14.79 (E(f11(f18(a1,a16),x4511),f11(f9(a16,a1),x4511))),
% 14.69/14.79 inference(scs_inference,[],[93,252,399,364,348,208,356,363,211,166,167,207,250,178,205,101,414,176,402,321,113,107,398,186,44,59,82,61,73,52,54,74,34,60,81,62,39,41,2,3,40,69,29,28,26,24,23,22,20,19,18,15,11,10,7,6,5,30,27,25,21])).
% 14.69/14.79 cnf(452,plain,
% 14.69/14.79 (E(f10(x4521,f18(a1,a16),x4522),f10(x4521,f9(a16,a1),x4522))),
% 14.69/14.79 inference(scs_inference,[],[93,252,399,364,348,208,356,363,211,166,167,207,250,178,205,101,414,176,402,321,113,107,398,186,44,59,82,61,73,52,54,74,34,60,81,62,39,41,2,3,40,69,29,28,26,24,23,22,20,19,18,15,11,10,7,6,5,30,27,25,21,17])).
% 14.69/14.79 cnf(453,plain,
% 14.69/14.79 (E(f12(x4531,f18(a1,a16),x4532),f12(x4531,f9(a16,a1),x4532))),
% 14.69/14.79 inference(scs_inference,[],[93,252,399,364,348,208,356,363,211,166,167,207,250,178,205,101,414,176,402,321,113,107,398,186,44,59,82,61,73,52,54,74,34,60,81,62,39,41,2,3,40,69,29,28,26,24,23,22,20,19,18,15,11,10,7,6,5,30,27,25,21,17,14])).
% 14.69/14.79 cnf(454,plain,
% 14.69/14.79 (E(f12(f18(a1,a16),x4541,x4542),f12(f9(a16,a1),x4541,x4542))),
% 14.69/14.79 inference(scs_inference,[],[93,252,399,364,348,208,356,363,211,166,167,207,250,178,205,101,414,176,402,321,113,107,398,186,44,59,82,61,73,52,54,74,34,60,81,62,39,41,2,3,40,69,29,28,26,24,23,22,20,19,18,15,11,10,7,6,5,30,27,25,21,17,14,13])).
% 14.69/14.79 cnf(456,plain,
% 14.69/14.79 (E(f4(f18(a1,a16),x4561),f4(f9(a16,a1),x4561))),
% 14.69/14.79 inference(scs_inference,[],[93,252,399,364,348,208,356,363,211,166,167,207,250,178,205,101,414,176,402,321,113,107,398,186,44,59,82,61,73,52,54,74,34,60,81,62,39,41,2,3,40,69,29,28,26,24,23,22,20,19,18,15,11,10,7,6,5,30,27,25,21,17,14,13,12,9])).
% 14.69/14.79 cnf(458,plain,
% 14.69/14.79 (E(f2(f18(a1,a16)),f2(f9(a16,a1)))),
% 14.69/14.79 inference(scs_inference,[],[93,252,399,364,348,208,356,363,211,166,167,207,250,178,205,101,414,176,402,321,113,107,398,186,44,59,82,61,73,52,54,74,34,60,81,62,39,41,2,3,40,69,29,28,26,24,23,22,20,19,18,15,11,10,7,6,5,30,27,25,21,17,14,13,12,9,8,4])).
% 14.69/14.79 cnf(470,plain,
% 14.69/14.79 (P4(f13(a1),a1)),
% 14.69/14.79 inference(scs_inference,[],[406,51])).
% 14.69/14.79 cnf(472,plain,
% 14.69/14.79 (P5(f5(f9(a16,a1),a15),a16)),
% 14.69/14.79 inference(scs_inference,[],[395,367,406,109,51,65])).
% 14.69/14.79 cnf(476,plain,
% 14.69/14.79 (~P1(f9(a16,a1),a1)),
% 14.69/14.79 inference(scs_inference,[],[395,367,406,109,51,65,61,60])).
% 14.69/14.79 cnf(483,plain,
% 14.69/14.79 (E(f5(f18(a1,a16),x4831),f5(f9(a16,a1),x4831))),
% 14.69/14.79 inference(rename_variables,[],[443])).
% 14.69/14.79 cnf(485,plain,
% 14.69/14.79 (~E(f18(a1,a16),f14(f2(f9(a16,a1)),f9(a16,a1)))),
% 14.69/14.79 inference(scs_inference,[],[412,443,395,408,367,288,406,109,51,65,61,60,54,62,33,41,2])).
% 14.69/14.79 cnf(490,plain,
% 14.69/14.79 (P4(f4(f13(a16),a16),a16)),
% 14.69/14.79 inference(scs_inference,[],[412,443,395,408,367,288,406,157,109,51,65,61,60,54,62,33,41,2,3,236,63])).
% 14.69/14.79 cnf(494,plain,
% 14.69/14.79 (~P6(x4941,f18(a1,a16),f18(f9(a16,a1),x4942))),
% 14.69/14.79 inference(scs_inference,[],[412,443,395,418,408,367,288,406,157,101,99,109,51,65,61,60,54,62,33,41,2,3,236,63,57,82])).
% 14.69/14.79 cnf(498,plain,
% 14.69/14.79 (~E(x4981,f7(x4981,f2(x4981)))),
% 14.69/14.79 inference(scs_inference,[],[412,443,395,418,408,367,288,406,157,229,216,101,99,109,51,65,61,60,54,62,33,41,2,3,236,63,57,82,32])).
% 14.69/14.79 cnf(500,plain,
% 14.69/14.79 (~P6(x5001,f18(a1,a16),f14(f2(f18(a1,a16)),f18(a1,a16)))),
% 14.69/14.79 inference(scs_inference,[],[412,443,395,341,418,408,367,288,406,157,229,216,101,99,207,109,51,65,61,60,54,62,33,41,2,3,236,63,57,82,32,38])).
% 14.69/14.79 cnf(501,plain,
% 14.69/14.79 (~P6(x5011,f18(f9(a16,a1),x5012),f9(a16,a1))),
% 14.69/14.79 inference(scs_inference,[],[412,443,395,341,418,408,367,288,406,157,229,216,101,321,113,99,207,109,51,65,61,60,54,62,33,41,2,3,236,63,57,82,32,38,81])).
% 14.69/14.79 cnf(503,plain,
% 14.69/14.79 (P5(f5(f9(a16,a1),a15),f18(a1,a16))),
% 14.69/14.79 inference(scs_inference,[],[412,443,483,395,341,418,408,367,288,406,157,229,216,101,321,113,99,105,207,109,51,65,61,60,54,62,33,41,2,3,236,63,57,82,32,38,81,40])).
% 14.69/14.79 cnf(516,plain,
% 14.69/14.79 (~P6(x5161,a1,a15)),
% 14.69/14.79 inference(scs_inference,[],[92,93,401,299,413,356,326,101,99,31,65,61,82])).
% 14.69/14.79 cnf(522,plain,
% 14.69/14.79 (~P5(f5(f9(a16,a1),a15),f11(a15,f2(a15)))),
% 14.69/14.79 inference(scs_inference,[],[92,93,401,299,413,356,326,216,208,101,99,31,65,61,82,54,60])).
% 14.69/14.79 cnf(526,plain,
% 14.69/14.79 (~P6(x5261,f18(f18(a1,a16),x5262),f9(a16,a1))),
% 14.69/14.79 inference(scs_inference,[],[92,93,501,401,299,413,447,356,326,216,208,101,99,47,31,65,61,82,54,60,39,38])).
% 14.69/14.79 cnf(530,plain,
% 14.69/14.79 (P4(f2(x5301),f6(f2(x5301),x5301))),
% 14.69/14.79 inference(scs_inference,[],[92,93,501,401,299,413,447,252,356,326,216,250,208,107,101,99,47,31,65,61,82,54,60,39,38,62,81])).
% 14.69/14.79 cnf(535,plain,
% 14.69/14.79 (P5(f10(a16,a1,a1),f18(f18(a1,a16),a16))),
% 14.69/14.79 inference(scs_inference,[],[92,93,501,401,299,413,470,447,311,252,356,326,216,250,208,176,107,101,99,47,31,65,61,82,54,60,39,38,62,81,33,41])).
% 14.69/14.79 cnf(542,plain,
% 14.69/14.79 (P7(f14(f2(x5421),x5421))),
% 14.69/14.79 inference(scs_inference,[],[92,93,501,401,472,299,413,470,441,452,447,427,311,252,397,356,326,216,250,208,176,107,186,101,99,47,31,65,61,82,54,60,39,38,62,81,33,41,2,40,3,50])).
% 14.69/14.79 cnf(544,plain,
% 14.69/14.79 (~P3(a1)),
% 14.69/14.79 inference(scs_inference,[],[92,93,501,401,472,299,413,470,441,452,447,427,311,252,397,356,326,216,250,208,176,107,186,101,99,47,31,65,61,82,54,60,39,38,62,81,33,41,2,40,3,50,53])).
% 14.69/14.79 cnf(565,plain,
% 14.69/14.79 (P4(f3(a1),a1)),
% 14.69/14.79 inference(scs_inference,[],[544,49])).
% 14.69/14.79 cnf(567,plain,
% 14.69/14.79 (~P2(f2(x5671),f6(f2(x5671),x5671))),
% 14.69/14.79 inference(scs_inference,[],[530,544,49,56])).
% 14.69/14.79 cnf(570,plain,
% 14.69/14.79 (E(f14(x5701,f18(a1,a16)),f14(x5701,f9(a16,a1)))),
% 14.69/14.79 inference(rename_variables,[],[436])).
% 14.69/14.79 cnf(573,plain,
% 14.69/14.79 (E(f18(f18(a1,a16),x5731),f18(f9(a16,a1),x5731))),
% 14.69/14.79 inference(rename_variables,[],[447])).
% 14.69/14.79 cnf(578,plain,
% 14.69/14.79 (~P1(f18(a1,a16),a1)),
% 14.69/14.79 inference(scs_inference,[],[95,530,542,476,544,254,436,447,178,207,49,56,43,61,65,31])).
% 14.69/14.79 cnf(579,plain,
% 14.69/14.79 (P5(f4(f13(a16),a16),a16)),
% 14.69/14.79 inference(scs_inference,[],[95,530,542,476,544,254,436,490,447,178,207,49,56,43,61,65,31,54])).
% 14.69/14.79 cnf(581,plain,
% 14.69/14.79 (P5(f2(f18(a1,a16)),f18(f18(a1,a16),x5811))),
% 14.69/14.79 inference(scs_inference,[],[95,530,542,476,544,254,436,490,447,573,178,321,207,49,56,43,61,65,31,54,62])).
% 14.69/14.79 cnf(583,plain,
% 14.69/14.79 (P5(f10(a16,a1,a1),a15)),
% 14.69/14.79 inference(scs_inference,[],[95,93,530,542,476,544,254,436,490,447,573,178,321,45,207,49,56,43,61,65,31,54,62,60])).
% 14.69/14.79 cnf(590,plain,
% 14.69/14.79 (~E(f7(x5901,f2(x5901)),x5901)),
% 14.69/14.79 inference(scs_inference,[],[95,92,93,498,530,542,494,535,476,544,254,436,286,490,447,573,178,321,45,99,207,49,56,43,61,65,31,54,62,60,39,33,41,2])).
% 14.69/14.79 cnf(591,plain,
% 14.69/14.79 (~P5(f5(f18(a1,a16),a15),f11(a15,f2(a15)))),
% 14.69/14.79 inference(scs_inference,[],[95,92,93,498,530,542,494,535,522,476,544,254,436,286,490,443,447,573,178,321,45,99,207,49,56,43,61,65,31,54,62,60,39,33,41,2,40])).
% 14.69/14.79 cnf(593,plain,
% 14.69/14.79 (~E(f18(a1,a16),f14(f2(f9(a16,a1)),f18(a1,a16)))),
% 14.69/14.79 inference(scs_inference,[],[95,92,93,498,530,542,485,494,535,522,476,544,254,436,570,286,490,443,447,573,178,321,45,99,207,49,56,43,61,65,31,54,62,60,39,33,41,2,40,3])).
% 14.69/14.79 cnf(597,plain,
% 14.69/14.79 (~P5(f5(f9(a16,a1),a1),a1)),
% 14.69/14.79 inference(scs_inference,[],[95,92,93,498,530,542,485,494,535,522,124,476,544,254,436,570,286,490,443,447,573,178,321,45,99,207,49,56,43,61,65,31,54,62,60,39,33,41,2,40,3,88,70])).
% 14.69/14.79 cnf(599,plain,
% 14.69/14.79 (P6(f10(a16,a1,a1),a16,a16)+P5(f12(a16,a16,f10(a16,a1,a1)),a16)),
% 14.69/14.79 inference(scs_inference,[],[95,92,93,498,530,542,485,494,535,522,124,476,544,254,436,570,286,490,443,447,573,178,321,45,99,207,49,56,43,61,65,31,54,62,60,39,33,41,2,40,3,88,70,85])).
% 14.69/14.79 cnf(609,plain,
% 14.69/14.79 (~E(f6(f2(f9(a16,a1)),f9(a16,a1)),f18(a1,a16))),
% 14.69/14.79 inference(scs_inference,[],[590,530,205,219,52,34])).
% 14.69/14.79 cnf(613,plain,
% 14.69/14.79 (P5(f3(a16),f18(f18(a1,a16),a16))),
% 14.69/14.79 inference(scs_inference,[],[590,581,351,530,447,205,219,113,321,52,34,82,61])).
% 14.69/14.79 cnf(616,plain,
% 14.69/14.79 (~P4(f5(f18(a1,a16),a15),f11(a15,f2(a15)))),
% 14.69/14.79 inference(scs_inference,[],[590,581,591,351,530,447,205,219,113,321,52,34,82,61,54])).
% 14.69/14.79 cnf(623,plain,
% 14.69/14.79 (~P1(a15,a1)),
% 14.69/14.79 inference(scs_inference,[],[95,92,590,581,591,351,583,355,530,446,447,205,219,113,321,52,34,82,61,54,38,62,60])).
% 14.69/14.79 cnf(625,plain,
% 14.69/14.79 (~P6(x6251,f18(f18(a1,a16),x6252),f18(a1,a16))),
% 14.69/14.79 inference(scs_inference,[],[95,92,590,526,581,591,351,583,355,530,446,447,205,219,113,321,207,52,34,82,61,54,38,62,60,39])).
% 14.69/14.79 cnf(628,plain,
% 14.69/14.79 (P5(f2(f9(a16,a1)),f18(f18(a1,a16),x6281))),
% 14.69/14.79 inference(scs_inference,[],[95,92,590,526,458,581,591,351,583,355,212,530,446,447,205,219,113,321,105,207,52,34,82,61,54,38,62,60,39,41,2,40])).
% 14.69/14.79 cnf(629,plain,
% 14.69/14.79 (~E(f9(a16,a1),f14(f2(f9(a16,a1)),f18(a1,a16)))),
% 14.69/14.79 inference(scs_inference,[],[95,92,590,593,526,458,581,591,351,583,355,212,530,446,447,205,219,113,321,105,207,52,34,82,61,54,38,62,60,39,41,2,40,3])).
% 14.69/14.79 cnf(632,plain,
% 14.69/14.79 (P5(f5(f18(a1,a16),a1),f18(a1,a16))),
% 14.69/14.79 inference(scs_inference,[],[95,92,590,593,526,458,581,591,351,578,583,355,212,530,446,447,205,219,113,321,105,207,52,34,82,61,54,38,62,60,39,41,2,40,3,67,59])).
% 14.69/14.79 cnf(634,plain,
% 14.69/14.79 (~P2(f5(f18(a1,a16),a15),f11(a15,f2(a15)))),
% 14.69/14.79 inference(scs_inference,[],[95,92,590,593,526,458,581,591,351,578,583,355,212,530,446,447,205,219,113,321,105,207,52,34,82,61,54,38,62,60,39,41,2,40,3,67,59,55])).
% 14.69/14.79 cnf(636,plain,
% 14.69/14.79 (~P2(f5(f9(a16,a1),a15),a1)),
% 14.69/14.79 inference(scs_inference,[],[95,92,590,593,526,458,581,591,351,578,583,355,212,530,446,353,447,205,219,170,113,321,105,207,52,34,82,61,54,38,62,60,39,41,2,40,3,67,59,55,35])).
% 14.69/14.79 cnf(659,plain,
% 14.69/14.79 (~P6(x6591,a1,a15)),
% 14.69/14.79 inference(rename_variables,[],[516])).
% 14.69/14.79 cnf(661,plain,
% 14.69/14.79 (P4(a17,a1)),
% 14.69/14.79 inference(scs_inference,[],[97,95,516,259,47,84,82])).
% 14.69/14.79 cnf(668,plain,
% 14.69/14.79 (P1(f11(x6681,f2(x6681)),x6681)),
% 14.69/14.79 inference(rename_variables,[],[216])).
% 14.69/14.79 cnf(671,plain,
% 14.69/14.79 (~P5(f5(f9(a16,a1),a1),f11(a1,f2(a1)))),
% 14.69/14.79 inference(scs_inference,[],[97,95,597,516,623,503,522,470,216,668,259,47,84,82,61,54,31,62,60])).
% 14.69/14.79 cnf(678,plain,
% 14.69/14.79 (P5(f2(f9(a16,a1)),f18(f9(a16,a1),x6781))),
% 14.69/14.79 inference(scs_inference,[],[97,95,625,628,616,597,516,623,503,522,470,447,216,668,176,170,259,47,84,82,61,54,31,62,60,38,33,41])).
% 14.69/14.79 cnf(680,plain,
% 14.69/14.79 (~E(f18(a1,a16),f6(f2(f9(a16,a1)),f9(a16,a1)))),
% 14.69/14.79 inference(scs_inference,[],[97,95,625,609,628,616,597,516,623,503,522,470,447,216,668,176,170,259,47,84,82,61,54,31,62,60,38,33,41,2])).
% 14.69/14.79 cnf(681,plain,
% 14.69/14.79 (P5(f5(f9(a16,a1),a1),f18(a1,a16))),
% 14.69/14.79 inference(scs_inference,[],[97,95,625,609,628,632,616,597,516,623,503,522,443,470,447,216,668,176,170,259,47,84,82,61,54,31,62,60,38,33,41,2,40])).
% 14.69/14.79 cnf(683,plain,
% 14.69/14.79 (E(f12(f18(a1,a16),x6831,f18(a1,a16)),f12(f9(a16,a1),x6831,f9(a16,a1)))),
% 14.69/14.79 inference(scs_inference,[],[97,95,625,609,628,632,616,597,516,623,503,442,454,522,443,470,447,216,668,176,170,259,47,84,82,61,54,31,62,60,38,33,41,2,40,3])).
% 14.69/14.79 cnf(686,plain,
% 14.69/14.79 (P4(f4(f3(a16),a16),a16)),
% 14.69/14.79 inference(scs_inference,[],[97,95,625,609,628,632,616,597,516,623,503,442,454,522,286,443,470,447,216,668,176,170,259,47,84,82,61,54,31,62,60,38,33,41,2,40,3,63])).
% 14.69/14.79 cnf(692,plain,
% 14.69/14.79 (P5(f12(a15,a1,f2(a1)),a1)),
% 14.69/14.79 inference(scs_inference,[],[97,95,93,625,609,628,632,616,597,516,659,623,503,442,454,522,413,286,443,470,447,216,668,176,170,259,101,47,84,82,61,54,31,62,60,38,33,41,2,40,3,63,57,79,85])).
% 14.69/14.79 cnf(696,plain,
% 14.69/14.79 (~P6(f5(f9(a16,a1),a1),x6961,a1)),
% 14.69/14.79 inference(scs_inference,[],[97,95,93,625,609,628,632,616,597,516,659,623,503,442,454,522,413,286,443,470,447,216,668,176,170,259,101,47,84,82,61,54,31,62,60,38,33,41,2,40,3,63,57,79,85,73])).
% 14.69/14.79 cnf(698,plain,
% 14.69/14.79 (~P6(f5(f9(a16,a1),a1),a1,x6981)),
% 14.69/14.79 inference(scs_inference,[],[97,95,93,625,609,628,632,616,597,516,659,623,503,442,454,522,413,286,443,470,447,216,668,176,170,259,101,47,84,82,61,54,31,62,60,38,33,41,2,40,3,63,57,79,85,73,74])).
% 14.69/14.79 cnf(700,plain,
% 14.69/14.79 (~E(f2(a1),f5(f9(a16,a1),a15))),
% 14.69/14.79 inference(scs_inference,[],[97,95,93,625,609,628,632,616,636,597,516,659,623,503,442,454,522,413,286,443,470,447,216,668,176,170,259,101,46,47,84,82,61,54,31,62,60,38,33,41,2,40,3,63,57,79,85,73,74,35])).
% 14.69/14.79 cnf(711,plain,
% 14.69/14.79 (E(f5(f18(a1,a16),x7111),f5(f9(a16,a1),x7111))),
% 14.69/14.79 inference(rename_variables,[],[443])).
% 14.69/14.79 cnf(716,plain,
% 14.69/14.79 (P5(f5(f9(a16,a1),a15),f18(x7161,f18(a1,a16)))),
% 14.69/14.79 inference(scs_inference,[],[678,696,443,446,395,101,99,37,82,61])).
% 14.69/14.79 cnf(718,plain,
% 14.69/14.79 (~P4(f5(f9(a16,a1),a1),f11(a1,f2(a1)))),
% 14.69/14.79 inference(scs_inference,[],[678,671,696,443,446,395,101,99,37,82,61,54])).
% 14.69/14.79 cnf(722,plain,
% 14.69/14.79 (P5(a17,f18(a16,f18(a1,a16)))),
% 14.69/14.79 inference(scs_inference,[],[97,678,671,696,116,443,446,216,395,101,99,37,82,61,54,31,62])).
% 14.69/14.79 cnf(727,plain,
% 14.69/14.79 (E(f12(f9(a16,a1),x7271,f9(a16,a1)),f12(f18(a1,a16),x7271,f18(a1,a16)))),
% 14.69/14.79 inference(scs_inference,[],[97,683,678,681,671,661,696,297,116,443,446,216,395,101,99,37,82,61,54,31,62,33,41,2])).
% 14.69/14.79 cnf(728,plain,
% 14.69/14.79 (~P5(f5(f18(a1,a16),a1),f11(a1,f2(a1)))),
% 14.69/14.79 inference(scs_inference,[],[97,683,678,681,671,661,696,297,116,443,711,446,216,395,101,99,37,82,61,54,31,62,33,41,2,40])).
% 14.69/14.79 cnf(730,plain,
% 14.69/14.79 (~E(f18(a1,a16),f6(f2(f9(a16,a1)),f18(a1,a16)))),
% 14.69/14.79 inference(scs_inference,[],[97,680,683,678,681,671,661,696,435,297,116,443,711,446,216,395,101,99,37,82,61,54,31,62,33,41,2,40,3])).
% 14.69/14.79 cnf(734,plain,
% 14.69/14.79 (~P3(f6(f2(x7341),x7341))),
% 14.69/14.79 inference(scs_inference,[],[97,680,683,678,681,671,661,696,435,297,530,116,443,711,446,216,395,101,99,37,82,61,54,31,62,33,41,2,40,3,50,53])).
% 14.69/14.79 cnf(736,plain,
% 14.69/14.79 (~P6(x7361,f18(a1,a16),f14(f2(f18(a1,a16)),f9(a16,a1)))),
% 14.69/14.79 inference(scs_inference,[],[97,680,683,678,500,681,671,661,696,435,297,157,530,116,443,711,446,216,395,101,99,37,82,61,54,31,62,33,41,2,40,3,50,53,39])).
% 14.69/14.79 cnf(774,plain,
% 14.69/14.79 (P5(f5(f18(a1,a16),a15),f18(x7741,f18(a1,a16)))),
% 14.69/14.79 inference(scs_inference,[],[99,97,730,716,736,718,579,226,686,208,447,443,446,170,101,109,65,82,61,54,62,38,33,41,2,40])).
% 14.69/14.79 cnf(776,plain,
% 14.69/14.79 (~E(f9(a16,a1),f6(f2(f9(a16,a1)),f18(a1,a16)))),
% 14.69/14.79 inference(scs_inference,[],[99,97,730,716,736,718,579,226,686,208,447,443,446,170,101,207,109,65,82,61,54,62,38,33,41,2,40,3])).
% 14.69/14.79 cnf(780,plain,
% 14.69/14.79 (~P5(f5(a15,a1),a1)),
% 14.69/14.79 inference(scs_inference,[],[99,97,730,716,736,718,579,698,226,686,623,208,447,443,446,170,101,47,207,109,65,82,61,54,62,38,33,41,2,40,3,6,37,70])).
% 14.69/14.79 cnf(809,plain,
% 14.69/14.79 (P5(f5(f18(a1,a16),a15),f18(x8091,f9(a16,a1)))),
% 14.69/14.79 inference(scs_inference,[],[99,774,728,780,632,254,661,311,211,45,446,101,81,61,54,62,31,33,41])).
% 14.69/14.79 cnf(812,plain,
% 14.69/14.79 (E(f12(f9(a16,a1),f18(a1,a16),x8121),f12(f18(a1,a16),f9(a16,a1),x8121))),
% 14.69/14.79 inference(scs_inference,[],[99,95,774,728,780,453,168,632,254,661,311,211,45,446,101,81,61,54,62,31,33,41,40,3])).
% 14.69/14.79 cnf(815,plain,
% 14.69/14.79 (P5(f5(a15,a1),a15)),
% 14.69/14.79 inference(scs_inference,[],[99,95,774,728,780,453,168,632,254,661,311,211,623,45,446,101,81,61,54,62,31,33,41,40,3,59])).
% 14.69/14.79 cnf(819,plain,
% 14.69/14.79 (E(f12(f18(a1,a16),f9(a16,a1),x8191),f12(f9(a16,a1),f18(a1,a16),x8191))),
% 14.69/14.79 inference(scs_inference,[],[93,99,95,774,728,780,453,168,632,254,661,311,211,623,45,446,101,81,61,54,62,31,33,41,40,3,59,66,2])).
% 14.69/14.79 cnf(820,plain,
% 14.69/14.79 (~P2(a17,a1)),
% 14.69/14.79 inference(scs_inference,[],[93,99,95,774,728,780,453,168,632,254,661,311,211,623,45,446,101,81,61,54,62,31,33,41,40,3,59,66,2,56])).
% 14.69/14.79 cnf(840,plain,
% 14.69/14.79 (P5(f3(a1),a1)),
% 14.69/14.79 inference(scs_inference,[],[97,734,435,728,565,176,55,42,61,54])).
% 14.69/14.79 cnf(848,plain,
% 14.69/14.79 (~E(f6(f2(f9(a16,a1)),f18(a1,a16)),f9(a16,a1))),
% 14.69/14.79 inference(scs_inference,[],[97,99,734,776,809,435,728,686,591,565,176,175,55,42,61,54,62,33,41,2])).
% 14.69/14.79 cnf(850,plain,
% 14.69/14.79 (P5(f2(x8501),x8501)),
% 14.69/14.79 inference(rename_variables,[],[101])).
% 14.69/14.79 cnf(855,plain,
% 14.69/14.79 (P4(f4(f3(a1),a1),a1)),
% 14.69/14.79 inference(scs_inference,[],[97,101,99,734,776,809,435,155,728,686,591,780,565,176,175,55,42,61,54,62,33,41,2,40,3,57,63])).
% 14.69/14.79 cnf(865,plain,
% 14.69/14.79 (P6(a17,a16,a16)+~P4(f12(a16,a16,a17),a16)),
% 14.69/14.79 inference(scs_inference,[],[97,101,850,99,734,776,809,346,516,435,155,728,686,591,780,565,176,175,55,42,61,54,62,33,41,2,40,3,57,63,84,58,88,90])).
% 14.69/14.79 cnf(867,plain,
% 14.69/14.79 (P6(a17,a16,a16)+~P5(f12(a16,a16,a17),a16)+P1(f11(a16,f12(a16,a16,a17)),a16)),
% 14.69/14.79 inference(scs_inference,[],[97,101,850,99,734,776,809,346,516,435,155,728,686,591,780,565,176,175,55,42,61,54,62,33,41,2,40,3,57,63,84,58,88,90,69])).
% 14.69/14.79 cnf(873,plain,
% 14.69/14.79 (P6(a17,a16,a16)+~P1(f7(a16,f12(a16,a16,a17)),f11(a16,f12(a16,a16,a17)))),
% 14.69/14.79 inference(scs_inference,[],[97,101,850,99,734,776,809,346,815,516,435,155,728,686,591,780,565,176,175,55,42,61,54,62,33,41,2,40,3,57,63,84,58,88,90,69,78,68,85])).
% 14.69/14.79 cnf(881,plain,
% 14.69/14.79 (~P6(f5(f18(a1,a16),a1),x8811,f11(a1,f2(a1)))),
% 14.69/14.79 inference(scs_inference,[],[728,73])).
% 14.69/14.79 cnf(883,plain,
% 14.69/14.79 (~P6(f5(f18(a1,a16),a1),f11(a1,f2(a1)),x8831)),
% 14.69/14.79 inference(scs_inference,[],[728,73,74])).
% 14.69/14.79 cnf(885,plain,
% 14.69/14.79 (P5(f5(f18(a1,a16),a15),f9(a16,a1))),
% 14.69/14.79 inference(scs_inference,[],[774,728,591,446,73,74,65])).
% 14.69/14.79 cnf(886,plain,
% 14.69/14.79 (E(f18(x8861,f18(a1,a16)),f18(x8861,f9(a16,a1)))),
% 14.69/14.79 inference(rename_variables,[],[446])).
% 14.69/14.79 cnf(889,plain,
% 14.69/14.79 (~P6(x8891,x8892,x8892)),
% 14.69/14.79 inference(scs_inference,[],[101,99,774,728,591,446,73,74,65,82])).
% 14.69/14.79 cnf(897,plain,
% 14.69/14.79 (~P4(f5(f9(a16,a1),a1),a1)),
% 14.69/14.79 inference(scs_inference,[],[101,99,95,692,774,728,597,591,176,446,44,73,74,65,82,60,61,54])).
% 14.69/14.79 cnf(899,plain,
% 14.69/14.79 (P5(a17,f18(f18(a16,f18(a1,a16)),f18(a1,a16)))),
% 14.69/14.79 inference(scs_inference,[],[101,99,95,722,692,774,728,597,591,176,446,886,44,73,74,65,82,60,61,54,62])).
% 14.69/14.79 cnf(905,plain,
% 14.69/14.79 (~P4(f12(a16,a16,a17),a16)),
% 14.69/14.79 inference(scs_inference,[],[101,99,95,848,722,692,774,472,435,728,522,597,591,176,446,886,44,73,74,65,82,60,61,54,62,41,3,865])).
% 14.69/14.79 cnf(906,plain,
% 14.69/14.79 (P5(f12(a16,a16,a17),a16)),
% 14.69/14.79 inference(scs_inference,[],[101,99,95,848,722,692,774,472,435,728,522,597,591,176,446,886,44,73,74,65,82,60,61,54,62,41,3,865,279])).
% 14.69/14.79 cnf(907,plain,
% 14.69/14.79 (P1(f11(a16,f12(a16,a16,a17)),a16)),
% 14.69/14.79 inference(scs_inference,[],[101,99,95,848,722,692,774,472,435,728,522,597,591,176,446,886,44,73,74,65,82,60,61,54,62,41,3,865,279,867])).
% 14.69/14.79 cnf(911,plain,
% 14.69/14.79 (P4(f2(x9111),f14(f2(x9111),x9111))),
% 14.69/14.79 inference(rename_variables,[],[397])).
% 14.69/14.79 cnf(915,plain,
% 14.69/14.79 (P1(f7(a16,f12(a16,a16,a17)),a16)),
% 14.69/14.79 inference(scs_inference,[],[101,99,95,848,317,722,692,774,472,112,263,435,728,522,597,591,397,911,176,446,886,44,73,74,65,82,60,61,54,62,41,3,865,279,867,79,64,53,68])).
% 14.69/14.79 cnf(917,plain,
% 14.69/14.79 (~E(f9(a16,a1),f6(f2(f18(a1,a16)),f18(a1,a16)))),
% 14.69/14.79 inference(scs_inference,[],[101,99,95,848,317,722,692,567,313,774,472,112,263,435,728,522,597,591,397,911,176,446,886,44,73,74,65,82,60,61,54,62,41,3,865,279,867,79,64,53,68,36])).
% 14.69/14.79 cnf(951,plain,
% 14.69/14.79 (~P4(f12(a16,a16,f10(a16,a1,a1)),a16)),
% 14.69/14.79 inference(scs_inference,[],[889,238])).
% 14.69/14.79 cnf(952,plain,
% 14.69/14.79 (P5(f12(a1,a1,a17),a1)),
% 14.69/14.79 inference(scs_inference,[],[889,273])).
% 14.69/14.79 cnf(955,plain,
% 14.69/14.79 (P5(f12(a16,a16,f10(a16,a1,a1)),a16)),
% 14.69/14.79 inference(scs_inference,[],[889,599])).
% 14.69/14.79 cnf(957,plain,
% 14.69/14.79 (~P1(f7(a16,f12(a16,a16,a17)),f11(a16,f12(a16,a16,a17)))),
% 14.69/14.79 inference(scs_inference,[],[889,873])).
% 14.69/14.79 cnf(959,plain,
% 14.69/14.79 (E(f5(f9(a16,a1),x9591),f5(f18(a1,a16),x9591))),
% 14.69/14.79 inference(rename_variables,[],[170])).
% 14.69/14.79 cnf(960,plain,
% 14.69/14.79 (~P4(f12(a1,a1,a17),a1)),
% 14.69/14.79 inference(scs_inference,[],[95,889,881,170,37,90])).
% 14.69/14.79 cnf(961,plain,
% 14.69/14.79 (~P6(x9611,x9612,x9612)),
% 14.69/14.79 inference(rename_variables,[],[889])).
% 14.69/14.79 cnf(963,plain,
% 14.69/14.79 (P5(f12(x9631,x9631,f2(x9631)),x9631)),
% 14.69/14.79 inference(scs_inference,[],[95,101,889,961,881,170,37,90,84])).
% 14.69/14.79 cnf(965,plain,
% 14.69/14.79 (~P6(x9651,x9652,x9652)),
% 14.69/14.79 inference(rename_variables,[],[889])).
% 14.69/14.79 cnf(968,plain,
% 14.69/14.79 (~P5(f2(a16),f11(a1,f2(a1)))),
% 14.69/14.79 inference(scs_inference,[],[95,101,889,961,881,178,216,170,37,90,84,60])).
% 14.69/14.79 cnf(977,plain,
% 14.69/14.79 (P5(f4(f3(a1),a1),a1)),
% 14.69/14.79 inference(scs_inference,[],[95,103,101,889,961,885,881,634,855,178,216,170,959,37,90,84,60,61,35,62,54])).
% 14.69/14.79 cnf(981,plain,
% 14.69/14.79 (E(f5(f18(a1,a16),x9811),f5(f9(a16,a1),x9811))),
% 14.69/14.79 inference(rename_variables,[],[443])).
% 14.69/14.79 cnf(985,plain,
% 14.69/14.79 (~P5(f5(f18(a1,a16),a1),a1)),
% 14.69/14.79 inference(scs_inference,[],[95,103,101,889,961,885,881,897,915,634,440,439,855,299,178,597,443,981,216,170,959,37,90,84,60,61,35,62,54,31,33,3,40])).
% 14.69/14.79 cnf(987,plain,
% 14.69/14.79 (~P5(f5(a16,a1),a1)),
% 14.69/14.79 inference(scs_inference,[],[95,103,101,889,961,885,881,897,915,634,440,439,855,299,178,597,116,443,981,216,170,959,37,90,84,60,61,35,62,54,31,33,3,40,70])).
% 14.69/14.79 cnf(991,plain,
% 14.69/14.79 (~P6(x9911,f12(f9(a16,a1),f18(a1,a16),x9912),f12(f18(a1,a16),f9(a16,a1),x9912))),
% 14.69/14.79 inference(scs_inference,[],[95,103,101,889,961,965,885,881,897,613,915,634,812,440,439,855,299,178,597,116,443,981,216,170,959,37,90,84,60,61,35,62,54,31,33,3,40,70,67,38])).
% 14.69/14.79 cnf(992,plain,
% 14.69/14.79 (~P6(x9921,x9922,x9922)),
% 14.69/14.79 inference(rename_variables,[],[889])).
% 14.69/14.79 cnf(995,plain,
% 14.69/14.79 (E(f7(f9(a16,a1),f9(a16,a1)),f7(f18(a1,a16),f18(a1,a16)))),
% 14.69/14.79 inference(scs_inference,[],[95,103,101,889,961,965,992,885,881,897,613,915,634,812,440,439,855,299,178,597,116,443,981,216,170,959,37,90,84,60,61,35,62,54,31,33,3,40,70,67,38,39,2])).
% 14.69/14.79 cnf(1021,plain,
% 14.69/14.79 (~P4(f2(a16),f11(a1,f2(a1)))),
% 14.69/14.79 inference(scs_inference,[],[95,101,957,952,968,960,815,915,780,175,79,32,65,61,62,54])).
% 14.69/14.79 cnf(1025,plain,
% 14.69/14.79 (~E(f14(f2(f9(a16,a1)),f18(a1,a16)),f9(a16,a1))),
% 14.69/14.79 inference(scs_inference,[],[95,99,101,957,629,952,968,960,815,855,915,780,175,79,32,65,61,62,54,33,2])).
% 14.69/14.79 cnf(1026,plain,
% 14.69/14.79 (~E(f9(a16,a1),f6(f2(f18(a1,a16)),f9(a16,a1)))),
% 14.69/14.79 inference(scs_inference,[],[95,99,101,957,629,917,952,968,960,815,855,155,915,780,175,79,32,65,61,62,54,33,2,3])).
% 14.69/14.79 cnf(1028,plain,
% 14.69/14.79 (P5(f5(f9(a16,a1),a15),f18(x10281,f9(a16,a1)))),
% 14.69/14.79 inference(scs_inference,[],[95,99,101,957,629,917,952,968,960,815,809,855,155,915,780,443,175,79,32,65,61,62,54,33,2,3,40])).
% 14.69/14.79 cnf(1030,plain,
% 14.69/14.79 (P1(f11(a1,f12(a1,a1,a17)),a1)),
% 14.69/14.79 inference(scs_inference,[],[95,99,101,957,629,917,952,968,960,815,809,855,155,915,780,443,175,79,32,65,61,62,54,33,2,3,40,69])).
% 14.69/14.79 cnf(1032,plain,
% 14.69/14.79 (P5(f5(f9(a16,a1),a1),f9(a16,a1))),
% 14.69/14.79 inference(scs_inference,[],[95,99,101,957,629,917,952,968,960,815,809,855,155,915,476,780,443,175,79,32,65,61,62,54,33,2,3,40,69,59])).
% 14.69/14.79 cnf(1034,plain,
% 14.69/14.79 (~P2(f4(f3(a1),a1),a1)),
% 14.69/14.79 inference(scs_inference,[],[95,99,101,957,629,917,952,968,960,815,809,855,155,915,476,780,443,175,79,32,65,61,62,54,33,2,3,40,69,59,56])).
% 14.69/14.79 cnf(1037,plain,
% 14.69/14.79 (~P6(x10371,f12(f9(a16,a1),f18(a1,a16),f18(a1,a16)),f12(f9(a16,a1),f9(a16,a1),f9(a16,a1)))),
% 14.69/14.79 inference(scs_inference,[],[95,99,101,957,995,991,629,917,952,968,960,815,727,809,855,155,915,476,780,443,175,79,32,65,61,62,54,33,2,3,40,69,59,56,31,39])).
% 14.69/14.79 cnf(1053,plain,
% 14.69/14.79 (P1(f7(a1,f12(a1,a1,a17)),a1)),
% 14.69/14.79 inference(scs_inference,[],[960,952,68])).
% 14.69/14.79 cnf(1068,plain,
% 14.69/14.79 (~E(f14(f2(f9(a16,a1)),f9(a16,a1)),f9(a16,a1))),
% 14.69/14.79 inference(scs_inference,[],[99,101,1025,1032,985,1034,1030,968,960,578,952,490,436,671,632,46,68,65,61,35,62,31,33,41,3])).
% 14.69/14.79 cnf(1070,plain,
% 14.69/14.79 (P5(f5(f18(a1,a16),a1),f9(a16,a1))),
% 14.69/14.79 inference(scs_inference,[],[99,101,1025,1032,985,1034,1030,968,960,578,952,490,436,671,632,46,170,68,65,61,35,62,31,33,41,3,40])).
% 14.69/14.79 cnf(1072,plain,
% 14.69/14.79 (P4(f4(f4(a17,a16),a16),a16)),
% 14.69/14.79 inference(scs_inference,[],[99,101,1025,1032,985,1034,1030,968,960,578,952,490,436,671,632,269,46,170,68,65,61,35,62,31,33,41,3,40,63])).
% 14.69/14.79 cnf(1093,plain,
% 14.69/14.79 (~P6(x10931,f12(f18(a1,a16),f9(a16,a1),f18(a1,a16)),f12(f9(a16,a1),f9(a16,a1),f9(a16,a1)))),
% 14.69/14.79 inference(scs_inference,[],[1037,1021,987,819,815,530,780,55,34,61,38])).
% 14.69/14.79 cnf(1104,plain,
% 14.69/14.79 (E(f8(f18(a1,a16),f18(a1,a16)),f8(f9(a16,a1),f9(a16,a1)))),
% 14.69/14.79 inference(scs_inference,[],[1037,1021,987,899,820,819,434,449,907,815,299,530,780,46,446,55,34,61,38,62,35,54,31,41,3])).
% 14.69/14.79 cnf(1111,plain,
% 14.69/14.79 (~P1(f7(a1,f12(a1,a1,a17)),f11(a1,f12(a1,a1,a17)))),
% 14.69/14.79 inference(scs_inference,[],[101,1037,1028,1021,987,899,820,819,434,449,907,815,960,299,952,530,780,46,446,55,34,61,38,62,35,54,31,41,3,40,58,78])).
% 14.69/14.79 cnf(1130,plain,
% 14.69/14.79 (P5(f12(a16,a16,a17),f7(a16,f12(a16,a16,a17)))),
% 14.69/14.79 inference(scs_inference,[],[905,906,1072,56,66])).
% 14.69/14.79 cnf(1132,plain,
% 14.69/14.79 (P5(f2(a16),a15)),
% 14.69/14.79 inference(scs_inference,[],[101,905,906,1072,45,56,66,60])).
% 14.69/14.79 cnf(1133,plain,
% 14.69/14.79 (P5(f2(x11331),x11331)),
% 14.69/14.79 inference(rename_variables,[],[101])).
% 14.69/14.79 cnf(1136,plain,
% 14.69/14.79 (P5(f2(x11361),x11361)),
% 14.69/14.79 inference(rename_variables,[],[101])).
% 14.69/14.79 cnf(1145,plain,
% 14.69/14.79 (~P4(f12(x11451,x11451,f2(x11451)),x11451)),
% 14.69/14.79 inference(scs_inference,[],[105,101,1133,1136,1068,700,951,905,955,906,1072,889,45,176,443,446,56,66,60,61,62,2,3,58,90])).
% 14.69/14.79 cnf(1150,plain,
% 14.69/14.79 (P5(f12(a16,a16,a17),f11(a16,f12(a16,a16,a17)))),
% 14.69/14.79 inference(scs_inference,[],[105,101,1133,1136,1068,700,951,905,955,906,1072,889,45,176,443,446,56,66,60,61,62,2,3,58,90,67])).
% 14.69/14.79 cnf(1152,plain,
% 14.69/14.79 (~P5(f12(a16,a16,f10(a16,a1,a1)),a1)),
% 14.69/14.79 inference(scs_inference,[],[105,101,1133,1136,1068,700,951,905,955,906,1072,889,45,176,443,446,47,56,66,60,61,62,2,3,58,90,67,81])).
% 14.69/14.79 cnf(1154,plain,
% 14.69/14.79 (P5(f5(f18(a1,a16),a1),a16)),
% 14.69/14.79 inference(scs_inference,[],[105,101,1133,1136,1068,700,951,905,955,906,1070,985,1072,889,45,176,443,446,47,109,56,66,60,61,62,2,3,58,90,67,81,65])).
% 14.69/14.79 cnf(1174,plain,
% 14.69/14.79 (P5(f12(a16,a16,a17),f18(f7(a16,f12(a16,a16,a17)),f9(a16,a1)))),
% 14.69/14.79 inference(scs_inference,[],[101,1130,1132,1028,968,367,175,60,65,61,62])).
% 14.69/14.79 cnf(1178,plain,
% 14.69/14.79 (~E(f18(a1,a16),f6(f2(f18(a1,a16)),f9(a16,a1)))),
% 14.69/14.79 inference(scs_inference,[],[101,1130,1104,1026,1132,1028,968,367,175,109,60,65,61,62,2,3])).
% 14.69/14.79 cnf(1182,plain,
% 14.69/14.79 (~P6(x11821,a16,f7(a16,f12(a16,a16,a17)))),
% 14.69/14.79 inference(scs_inference,[],[101,1130,1104,1026,1132,1111,1028,1053,968,905,906,367,175,109,60,65,61,62,2,3,67,32,82])).
% 14.69/14.79 cnf(1184,plain,
% 14.69/14.79 (~P6(x11841,f7(a16,f12(a16,a16,a17)),a16)),
% 14.69/14.79 inference(scs_inference,[],[101,1130,1104,1026,1132,1111,1028,1053,968,905,906,367,175,109,60,65,61,62,2,3,67,32,82,81])).
% 14.69/14.79 cnf(1210,plain,
% 14.69/14.79 (~P5(f12(a1,a1,a17),a16)),
% 14.69/14.79 inference(scs_inference,[],[1184,1021,1130,960,952,906,397,47,84,34,82])).
% 14.69/14.79 cnf(1212,plain,
% 14.69/14.79 (~P5(f2(a1),f11(a16,f12(a16,a16,a17)))),
% 14.69/14.79 inference(scs_inference,[],[1184,1021,907,1130,960,952,906,186,397,47,84,34,82,60])).
% 14.69/14.79 cnf(1218,plain,
% 14.69/14.79 (~E(f9(a16,a1),f18(a1,a1))),
% 14.69/14.79 inference(scs_inference,[],[1145,1184,963,1021,985,1070,907,1130,960,952,906,186,397,47,84,34,82,60,81,65])).
% 14.69/14.79 cnf(1221,plain,
% 14.69/14.79 (P5(f2(x12211),x12211)),
% 14.69/14.79 inference(rename_variables,[],[101])).
% 14.69/14.79 cnf(1223,plain,
% 14.69/14.79 (~P6(x12231,f12(f18(a1,a16),f9(a16,a1),f18(a1,a16)),f12(f9(a16,a1),f18(a1,a16),f9(a16,a1)))),
% 14.69/14.79 inference(scs_inference,[],[101,1145,1093,1184,963,1021,453,985,1070,907,1130,960,952,906,186,397,47,84,34,82,60,81,65,61,39])).
% 14.69/14.79 cnf(1224,plain,
% 14.69/14.79 (E(f12(x12241,f18(a1,a16),x12242),f12(x12241,f9(a16,a1),x12242))),
% 14.69/14.79 inference(rename_variables,[],[453])).
% 14.69/14.79 cnf(1233,plain,
% 14.69/14.79 (~E(f6(f2(f18(a1,a16)),f9(a16,a1)),f18(a1,a16))),
% 14.69/14.79 inference(scs_inference,[],[101,1221,1145,1178,1093,1184,1152,963,1021,453,1224,985,1070,1053,907,578,1130,960,952,906,186,397,47,84,34,82,60,81,65,61,39,38,62,54,31,2])).
% 14.69/14.79 cnf(1234,plain,
% 14.69/14.79 (E(f11(f18(a1,a16),f18(a1,a16)),f11(f9(a16,a1),f9(a16,a1)))),
% 14.69/14.79 inference(scs_inference,[],[101,1221,1145,1178,1093,1184,1152,963,438,451,1021,453,1224,985,1070,1053,907,578,1130,960,952,906,186,397,47,84,34,82,60,81,65,61,39,38,62,54,31,2,3])).
% 14.69/14.79 cnf(1262,plain,
% 14.69/14.79 (P5(f12(f7(a16,f12(a16,a16,a17)),a16,f12(a16,a16,a17)),a16)),
% 14.69/14.79 inference(scs_inference,[],[1182,1130,906,85])).
% 14.69/14.79 cnf(1267,plain,
% 14.69/14.79 (P5(f2(a16),f9(a16,a1))),
% 14.69/14.79 inference(scs_inference,[],[101,109,1150,1182,905,1130,906,85,81,61])).
% 14.69/14.79 cnf(1268,plain,
% 14.69/14.79 (P5(f2(x12681),x12681)),
% 14.69/14.79 inference(rename_variables,[],[101])).
% 14.69/14.79 cnf(1270,plain,
% 14.69/14.79 (P5(f2(a1),f9(a16,a1))),
% 14.69/14.79 inference(scs_inference,[],[101,1268,109,1150,1182,905,1130,906,85,81,61,62])).
% 14.69/14.79 cnf(1282,plain,
% 14.69/14.79 (~P6(f2(a1),x12821,f11(a16,f12(a16,a16,a17)))),
% 14.69/14.79 inference(scs_inference,[],[101,1268,109,1150,1234,1223,1233,1218,1212,1182,819,168,1030,623,905,1130,906,85,81,61,62,39,38,31,2,3,89,73])).
% 14.69/14.79 cnf(1284,plain,
% 14.69/14.79 (~P6(f2(a1),f11(a16,f12(a16,a16,a17)),x12841)),
% 14.69/14.79 inference(scs_inference,[],[101,1268,109,1150,1234,1223,1233,1218,1212,1182,819,168,1030,623,905,1130,906,85,81,61,62,39,38,31,2,3,89,73,74])).
% 14.69/14.79 cnf(1317,plain,
% 14.69/14.79 (P5(f5(f18(a1,a16),a1),a15)),
% 14.69/14.79 inference(scs_inference,[],[883,1154,1145,963,45,170,37,58,60])).
% 14.69/14.79 cnf(1325,plain,
% 14.69/14.79 (P5(f2(a16),f18(a1,a16))),
% 14.69/14.79 inference(scs_inference,[],[109,883,1267,1270,1154,1210,1145,963,1212,45,170,37,58,60,61,62,54,41])).
% 14.69/14.79 cnf(1361,plain,
% 14.69/14.79 (P6(f2(x13611),f14(f2(x13611),x13611),f6(f2(x13611),x13611))),
% 14.69/14.79 inference(rename_variables,[],[107])).
% 14.69/14.79 cnf(1382,plain,
% 14.69/14.79 (P6(f12(a16,a16,a17),f14(f12(a16,a16,a17),a16),f6(f12(a16,a16,a17),a16))),
% 14.69/14.79 inference(scs_inference,[],[107,1361,109,1174,1282,1325,1317,1262,1284,977,444,456,1152,1032,968,728,597,905,952,960,906,175,67,60,62,39,38,41,40,3,58,36,65,81,61,2,77])).
% 14.69/14.79 cnf(1384,plain,
% 14.69/14.79 (P5(f12(a16,a16,a17),f6(f12(a16,a16,a17),a16))),
% 14.69/14.79 inference(scs_inference,[],[107,1361,109,1174,1282,1325,1317,1262,1284,977,444,456,1152,1032,968,728,597,905,952,960,906,175,67,60,62,39,38,41,40,3,58,36,65,81,61,2,77,73])).
% 14.69/14.79 cnf(1386,plain,
% 14.69/14.79 (P5(f12(a16,a16,a17),f14(f12(a16,a16,a17),a16))),
% 14.69/14.79 inference(scs_inference,[],[107,1361,109,1174,1282,1325,1317,1262,1284,977,444,456,1152,1032,968,728,597,905,952,960,906,175,67,60,62,39,38,41,40,3,58,36,65,81,61,2,77,73,74])).
% 14.69/14.79 cnf(1453,plain,
% 14.69/14.79 (P4(f12(a16,a16,a17),f6(f12(a16,a16,a17),a16))),
% 14.69/14.79 inference(scs_inference,[],[1386,1384,1382,208,219,60,81])).
% 14.69/14.79 cnf(2028,plain,
% 14.69/14.79 ($false),
% 14.69/14.79 inference(scs_inference,[],[840,472,1453,208,889,45,56,84,60]),
% 14.69/14.79 ['proof']).
% 14.69/14.79 % SZS output end Proof
% 14.69/14.79 % Total time :14.120000s
%------------------------------------------------------------------------------