TSTP Solution File: GEO084+1 by CSE---1.6
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%------------------------------------------------------------------------------
% 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 : n009.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 22:42:52 EDT 2023
% Result : Theorem 8.76s 8.86s
% Output : CNFRefutation 8.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO084+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 21:18:05 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.49/0.56 start to proof:theBenchmark
% 8.76/8.86 %-------------------------------------------
% 8.76/8.86 % File :CSE---1.6
% 8.76/8.86 % Problem :theBenchmark
% 8.76/8.86 % Transform :cnf
% 8.76/8.86 % Format :tptp:raw
% 8.76/8.86 % Command :java -jar mcs_scs.jar %d %s
% 8.76/8.86
% 8.76/8.86 % Result :Theorem 8.210000s
% 8.76/8.86 % Output :CNFRefutation 8.210000s
% 8.76/8.86 %-------------------------------------------
% 8.76/8.86 %--------------------------------------------------------------------------
% 8.76/8.86 % File : GEO084+1 : TPTP v8.1.2. Released v2.4.0.
% 8.76/8.86 % Domain : Geometry (Oriented curves)
% 8.76/8.86 % Problem : Sum is monotone, part 2
% 8.76/8.86 % Version : [EHK99] axioms.
% 8.76/8.86 % English :
% 8.76/8.86
% 8.76/8.86 % Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv
% 8.76/8.86 % : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% 8.76/8.86 % Source : [KE99]
% 8.76/8.86 % Names : Corollary 2.6 (2) [KE99]
% 8.76/8.86
% 8.76/8.86 % Status : Theorem
% 8.76/8.86 % Rating : 0.33 v8.1.0, 0.36 v7.5.0, 0.44 v7.4.0, 0.30 v7.3.0, 0.28 v7.2.0, 0.24 v7.1.0, 0.30 v7.0.0, 0.27 v6.4.0, 0.31 v6.3.0, 0.29 v6.2.0, 0.36 v6.1.0, 0.50 v6.0.0, 0.43 v5.5.0, 0.52 v5.4.0, 0.57 v5.3.0, 0.59 v5.2.0, 0.45 v5.1.0, 0.48 v5.0.0, 0.46 v4.1.0, 0.43 v4.0.0, 0.42 v3.7.0, 0.40 v3.5.0, 0.42 v3.4.0, 0.53 v3.3.0, 0.50 v3.2.0, 0.64 v3.1.0, 0.67 v2.7.0, 0.50 v2.5.0, 0.33 v2.4.0
% 8.76/8.86 % Syntax : Number of formulae : 17 ( 1 unt; 0 def)
% 8.76/8.86 % Number of atoms : 71 ( 10 equ)
% 8.76/8.86 % Maximal formula atoms : 12 ( 4 avg)
% 8.76/8.86 % Number of connectives : 58 ( 4 ~; 9 |; 23 &)
% 8.76/8.86 % ( 9 <=>; 13 =>; 0 <=; 0 <~>)
% 8.76/8.86 % Maximal formula depth : 12 ( 7 avg)
% 8.76/8.86 % Maximal term depth : 2 ( 1 avg)
% 8.76/8.86 % Number of predicates : 8 ( 7 usr; 0 prp; 1-3 aty)
% 8.76/8.86 % Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% 8.76/8.86 % Number of variables : 57 ( 48 !; 9 ?)
% 8.76/8.86 % SPC : FOF_THM_RFO_SEQ
% 8.76/8.86
% 8.76/8.86 % Comments :
% 8.76/8.86 %--------------------------------------------------------------------------
% 8.76/8.86 %----Include simple curve axioms
% 8.76/8.86 include('Axioms/GEO004+0.ax').
% 8.76/8.86 %--------------------------------------------------------------------------
% 8.76/8.86 fof(corollary_2_6_2,conjecture,
% 8.76/8.86 ! [C1,C2,C3,P] :
% 8.76/8.86 ( ( part_of(C1,C3)
% 8.76/8.86 & part_of(C2,C3)
% 8.76/8.86 & meet(P,C1,C2) )
% 8.76/8.86 => part_of(sum(C1,C2),C3) ) ).
% 8.76/8.86
% 8.76/8.86 %--------------------------------------------------------------------------
% 8.76/8.86 %-------------------------------------------
% 8.76/8.86 % Proof found
% 8.76/8.86 % SZS status Theorem for theBenchmark
% 8.76/8.86 % SZS output start Proof
% 8.76/8.87 %ClaNum:90(EqnAxiom:43)
% 8.76/8.87 %VarNum:331(SingletonVarNum:113)
% 8.76/8.87 %MaxLitNum:12
% 8.76/8.87 %MaxfuncDepth:2
% 8.76/8.87 %SharedTerms:9
% 8.76/8.87 %goalClause: 44 45 47 48
% 8.76/8.87 %singleGoalClaCount:4
% 8.76/8.87 [44]P1(a1,a6)
% 8.76/8.87 [45]P1(a7,a6)
% 8.76/8.87 [47]P6(a9,a1,a7)
% 8.76/8.87 [48]~P1(f17(a1,a7),a6)
% 8.76/8.87 [46]P2(f8(x461),x461)
% 8.76/8.87 [49]P3(x491)+P4(f10(x491),x491)
% 8.76/8.87 [51]~P7(x511)+P4(f16(x511),x511)
% 8.76/8.87 [50]P7(x501)+~P4(x502,x501)
% 8.76/8.87 [53]~P3(x531)+~P4(x532,x531)
% 8.76/8.87 [54]~P4(x541,x542)+P5(x541,x542)
% 8.76/8.87 [55]~P2(x551,x552)+P5(x551,x552)
% 8.76/8.87 [56]~P2(x561,x562)+~P4(x561,x562)
% 8.76/8.87 [57]~P4(x572,x571)+~E(f2(x571,x572),x572)
% 8.76/8.87 [59]P1(x591,x592)+P5(f11(x592,x591),x591)
% 8.76/8.87 [63]~P4(x632,x631)+P4(f2(x631,x632),x631)
% 8.76/8.87 [70]P1(x701,x702)+~P5(f11(x702,x701),x702)
% 8.76/8.87 [77]~P2(x771,x772)+P6(x771,f18(x772,x771),f3(x772,x771))
% 8.76/8.87 [72]~P2(x722,x721)+E(f17(f18(x721,x722),f3(x721,x722)),x721)
% 8.76/8.87 [73]P5(x731,x732)+~P6(x731,x733,x732)
% 8.76/8.87 [74]P5(x741,x742)+~P6(x741,x742,x743)
% 8.76/8.87 [75]~P6(x753,x751,x752)+E(f5(x751,x752),f17(x751,x752))
% 8.76/8.87 [52]P7(x521)+~P1(x521,x522)+E(x521,x522)
% 8.76/8.87 [58]P2(x581,x582)+~P5(x581,x582)+P4(x581,x582)
% 8.76/8.87 [66]~P5(x661,x662)+P4(x661,x662)+P5(x661,f12(x661,x662))
% 8.76/8.87 [67]~P5(x671,x672)+P4(x671,x672)+P5(x671,f14(x671,x672))
% 8.76/8.87 [68]~P5(x681,x682)+P4(x681,x682)+P1(f12(x681,x682),x682)
% 8.76/8.87 [69]~P5(x691,x692)+P4(x691,x692)+P1(f14(x691,x692),x692)
% 8.76/8.87 [71]E(x711,x712)+P5(f4(x711,x712),x712)+P5(f4(x711,x712),x711)
% 8.76/8.87 [76]E(x761,x762)+~P5(f4(x761,x762),x762)+~P5(f4(x761,x762),x761)
% 8.76/8.87 [78]~P5(x781,x782)+P4(x781,x782)+~P1(f12(x781,x782),f14(x781,x782))
% 8.76/8.87 [79]~P5(x791,x792)+P4(x791,x792)+~P1(f14(x791,x792),f12(x791,x792))
% 8.76/8.87 [60]~P5(x601,x603)+P5(x601,x602)+~P1(x603,x602)
% 8.76/8.87 [88]~P5(f13(x881,x882,x883),x883)+~P5(f13(x881,x882,x883),x881)+E(x881,f17(x882,x883))
% 8.76/8.87 [89]~P5(f13(x891,x892,x893),x892)+~P5(f13(x891,x892,x893),x891)+E(x891,f17(x892,x893))
% 8.76/8.87 [61]~P5(x611,x614)+P5(x611,x612)+~E(x612,f17(x613,x614))
% 8.76/8.87 [62]~P5(x621,x623)+P5(x621,x622)+~E(x622,f17(x623,x624))
% 8.76/8.87 [84]~P5(x841,x843)+~P5(x841,x842)+P6(x841,x842,x843)+P5(f15(x841,x842,x843),x843)
% 8.76/8.87 [85]~P5(x851,x853)+~P5(x851,x852)+P6(x851,x852,x853)+P5(f15(x851,x852,x853),x852)
% 8.76/8.87 [87]P5(f13(x871,x872,x873),x873)+P5(f13(x871,x872,x873),x872)+P5(f13(x871,x872,x873),x871)+E(x871,f17(x872,x873))
% 8.76/8.87 [81]~P5(x811,x812)+P4(x811,x812)+~P6(x814,x813,x812)+~P5(x811,x813)
% 8.76/8.87 [82]~P5(x821,x822)+P4(x821,x822)+~P6(x824,x822,x823)+~P5(x821,x823)
% 8.76/8.87 [65]~P5(x651,x654)+P5(x651,x652)+P5(x651,x653)+~E(x654,f17(x653,x652))
% 8.76/8.87 [90]~P5(x901,x903)+~P5(x901,x902)+P6(x901,x902,x903)+~P4(f15(x901,x902,x903),x903)+~P4(f15(x901,x902,x903),x902)
% 8.76/8.87 [83]~P3(x834)+~P4(x831,x832)+P6(x831,x832,x833)+~P6(x835,x832,x833)+~E(x834,f17(x832,x833))
% 8.76/8.87 [64]E(x643,x641)+~P4(x641,x644)+~P4(x643,x644)+E(x641,x642)+E(x643,x642)+~P4(x642,x644)
% 8.76/8.87 [80]P1(x802,x801)+~P1(x802,x803)+~P5(x804,x802)+~P4(x804,x803)+P1(x801,x802)+~P1(x801,x803)+~P5(x804,x801)
% 8.76/8.87 [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)
% 8.76/8.87 %EqnAxiom
% 8.76/8.87 [1]E(x11,x11)
% 8.76/8.87 [2]E(x22,x21)+~E(x21,x22)
% 8.76/8.87 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 8.76/8.87 [4]~E(x41,x42)+E(f8(x41),f8(x42))
% 8.76/8.87 [5]~E(x51,x52)+E(f17(x51,x53),f17(x52,x53))
% 8.76/8.87 [6]~E(x61,x62)+E(f17(x63,x61),f17(x63,x62))
% 8.76/8.87 [7]~E(x71,x72)+E(f10(x71),f10(x72))
% 8.76/8.87 [8]~E(x81,x82)+E(f16(x81),f16(x82))
% 8.76/8.87 [9]~E(x91,x92)+E(f2(x91,x93),f2(x92,x93))
% 8.76/8.87 [10]~E(x101,x102)+E(f2(x103,x101),f2(x103,x102))
% 8.76/8.87 [11]~E(x111,x112)+E(f11(x111,x113),f11(x112,x113))
% 8.76/8.87 [12]~E(x121,x122)+E(f11(x123,x121),f11(x123,x122))
% 8.76/8.87 [13]~E(x131,x132)+E(f15(x131,x133,x134),f15(x132,x133,x134))
% 8.76/8.87 [14]~E(x141,x142)+E(f15(x143,x141,x144),f15(x143,x142,x144))
% 8.76/8.87 [15]~E(x151,x152)+E(f15(x153,x154,x151),f15(x153,x154,x152))
% 8.76/8.87 [16]~E(x161,x162)+E(f13(x161,x163,x164),f13(x162,x163,x164))
% 8.76/8.87 [17]~E(x171,x172)+E(f13(x173,x171,x174),f13(x173,x172,x174))
% 8.76/8.87 [18]~E(x181,x182)+E(f13(x183,x184,x181),f13(x183,x184,x182))
% 8.76/8.87 [19]~E(x191,x192)+E(f12(x191,x193),f12(x192,x193))
% 8.76/8.87 [20]~E(x201,x202)+E(f12(x203,x201),f12(x203,x202))
% 8.76/8.87 [21]~E(x211,x212)+E(f14(x211,x213),f14(x212,x213))
% 8.76/8.87 [22]~E(x221,x222)+E(f14(x223,x221),f14(x223,x222))
% 8.76/8.87 [23]~E(x231,x232)+E(f18(x231,x233),f18(x232,x233))
% 8.76/8.87 [24]~E(x241,x242)+E(f18(x243,x241),f18(x243,x242))
% 8.76/8.87 [25]~E(x251,x252)+E(f3(x251,x253),f3(x252,x253))
% 8.76/8.87 [26]~E(x261,x262)+E(f3(x263,x261),f3(x263,x262))
% 8.76/8.87 [27]~E(x271,x272)+E(f4(x271,x273),f4(x272,x273))
% 8.76/8.87 [28]~E(x281,x282)+E(f4(x283,x281),f4(x283,x282))
% 8.76/8.87 [29]~E(x291,x292)+E(f5(x291,x293),f5(x292,x293))
% 8.76/8.87 [30]~E(x301,x302)+E(f5(x303,x301),f5(x303,x302))
% 8.76/8.87 [31]P1(x312,x313)+~E(x311,x312)+~P1(x311,x313)
% 8.76/8.87 [32]P1(x323,x322)+~E(x321,x322)+~P1(x323,x321)
% 8.76/8.87 [33]P4(x332,x333)+~E(x331,x332)+~P4(x331,x333)
% 8.76/8.87 [34]P4(x343,x342)+~E(x341,x342)+~P4(x343,x341)
% 8.76/8.87 [35]P2(x352,x353)+~E(x351,x352)+~P2(x351,x353)
% 8.76/8.87 [36]P2(x363,x362)+~E(x361,x362)+~P2(x363,x361)
% 8.76/8.87 [37]P6(x372,x373,x374)+~E(x371,x372)+~P6(x371,x373,x374)
% 8.76/8.87 [38]P6(x383,x382,x384)+~E(x381,x382)+~P6(x383,x381,x384)
% 8.76/8.87 [39]P6(x393,x394,x392)+~E(x391,x392)+~P6(x393,x394,x391)
% 8.76/8.87 [40]P5(x402,x403)+~E(x401,x402)+~P5(x401,x403)
% 8.76/8.87 [41]P5(x413,x412)+~E(x411,x412)+~P5(x413,x411)
% 8.76/8.87 [42]~P3(x421)+P3(x422)+~E(x421,x422)
% 8.76/8.87 [43]~P7(x431)+P7(x432)+~E(x431,x432)
% 8.76/8.87
% 8.76/8.87 %-------------------------------------------
% 8.76/8.87 cnf(92,plain,
% 8.76/8.87 (~P5(f13(a1,a1,a7),a1)),
% 8.76/8.87 inference(scs_inference,[],[44,48,31,89])).
% 8.76/8.87 cnf(93,plain,
% 8.76/8.87 (P5(f13(a1,a1,a7),a7)),
% 8.76/8.87 inference(scs_inference,[],[44,48,31,89,87])).
% 8.76/8.87 cnf(94,plain,
% 8.76/8.87 (~E(f17(a1,a7),a1)),
% 8.76/8.87 inference(scs_inference,[],[44,48,31,89,87,2])).
% 8.76/8.87 cnf(95,plain,
% 8.76/8.87 (P5(a9,a1)),
% 8.76/8.87 inference(scs_inference,[],[44,47,48,31,89,87,2,74])).
% 8.76/8.87 cnf(97,plain,
% 8.76/8.87 (P5(a9,a7)),
% 8.76/8.87 inference(scs_inference,[],[44,47,48,31,89,87,2,74,73])).
% 8.76/8.87 cnf(99,plain,
% 8.76/8.87 (~P4(f8(x991),x991)),
% 8.76/8.87 inference(scs_inference,[],[44,47,48,46,31,89,87,2,74,73,56])).
% 8.76/8.87 cnf(101,plain,
% 8.76/8.87 (P5(f8(x1011),x1011)),
% 8.76/8.87 inference(scs_inference,[],[44,47,48,46,31,89,87,2,74,73,56,55])).
% 8.76/8.87 cnf(103,plain,
% 8.76/8.87 (~P5(f11(a6,f17(a1,a7)),a6)),
% 8.76/8.87 inference(scs_inference,[],[44,47,48,46,31,89,87,2,74,73,56,55,70])).
% 8.76/8.88 cnf(105,plain,
% 8.76/8.88 (P5(f11(a6,f17(a1,a7)),f17(a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[44,47,48,46,31,89,87,2,74,73,56,55,70,59])).
% 8.76/8.88 cnf(107,plain,
% 8.76/8.88 (P6(f8(x1071),f18(x1071,f8(x1071)),f3(x1071,f8(x1071)))),
% 8.76/8.88 inference(scs_inference,[],[44,47,48,46,31,89,87,2,74,73,56,55,70,59,77])).
% 8.76/8.88 cnf(109,plain,
% 8.76/8.88 (E(f5(a1,a7),f17(a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[44,47,48,46,31,89,87,2,74,73,56,55,70,59,77,75])).
% 8.76/8.88 cnf(112,plain,
% 8.76/8.88 (~E(a9,f13(a1,a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[44,47,48,46,31,89,87,2,74,73,56,55,70,59,77,75,41,40])).
% 8.76/8.88 cnf(113,plain,
% 8.76/8.88 (~P4(f8(f17(a1,a7)),f5(a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[44,47,48,46,31,89,87,2,74,73,56,55,70,59,77,75,41,40,34])).
% 8.76/8.88 cnf(115,plain,
% 8.76/8.88 (~E(a1,f5(a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[44,47,48,46,31,89,87,2,74,73,56,55,70,59,77,75,41,40,34,33,3])).
% 8.76/8.88 cnf(116,plain,
% 8.76/8.88 (~P1(a7,a1)),
% 8.76/8.88 inference(scs_inference,[],[44,47,48,46,31,89,87,2,74,73,56,55,70,59,77,75,41,40,34,33,3,60])).
% 8.76/8.88 cnf(118,plain,
% 8.76/8.88 (~E(a1,f17(a7,x1181))),
% 8.76/8.88 inference(scs_inference,[],[44,47,48,46,31,89,87,2,74,73,56,55,70,59,77,75,41,40,34,33,3,60,62])).
% 8.76/8.88 cnf(126,plain,
% 8.76/8.88 (~P6(x1261,f17(a1,a7),f17(a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[44,47,48,46,31,89,87,2,74,73,56,55,70,59,77,75,41,40,34,33,3,60,62,61,69,68,82])).
% 8.76/8.88 cnf(130,plain,
% 8.76/8.88 (P5(f15(f8(f17(a1,a7)),f17(a1,a7),f17(a1,a7)),f17(a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[44,47,48,46,31,89,87,2,74,73,56,55,70,59,77,75,41,40,34,33,3,60,62,61,69,68,82,65,85])).
% 8.76/8.88 cnf(142,plain,
% 8.76/8.88 (~P1(x1421,f5(a1,a7))+~P2(f5(a1,a7),f5(a1,a7))+P1(x1421,f17(a1,a7))+~E(f16(f17(a1,a7)),f8(f17(a1,a7)))),
% 8.76/8.88 inference(scs_inference,[],[44,47,48,46,31,89,87,2,74,73,56,55,70,59,77,75,41,40,34,33,3,60,62,61,69,68,82,65,85,54,51,43,39,38,37,36,35,32])).
% 8.76/8.88 cnf(156,plain,
% 8.76/8.88 (E(f5(x1561,f5(a1,a7)),f5(x1561,f17(a1,a7)))),
% 8.76/8.88 inference(scs_inference,[],[109,30])).
% 8.76/8.88 cnf(158,plain,
% 8.76/8.88 (E(f4(x1581,f5(a1,a7)),f4(x1581,f17(a1,a7)))),
% 8.76/8.88 inference(scs_inference,[],[109,30,29,28])).
% 8.76/8.88 cnf(159,plain,
% 8.76/8.88 (E(f4(f5(a1,a7),x1591),f4(f17(a1,a7),x1591))),
% 8.76/8.88 inference(scs_inference,[],[109,30,29,28,27])).
% 8.76/8.88 cnf(160,plain,
% 8.76/8.88 (E(f3(x1601,f5(a1,a7)),f3(x1601,f17(a1,a7)))),
% 8.76/8.88 inference(scs_inference,[],[109,30,29,28,27,26])).
% 8.76/8.88 cnf(162,plain,
% 8.76/8.88 (E(f18(x1621,f5(a1,a7)),f18(x1621,f17(a1,a7)))),
% 8.76/8.88 inference(scs_inference,[],[109,30,29,28,27,26,25,24])).
% 8.76/8.88 cnf(163,plain,
% 8.76/8.88 (E(f18(f5(a1,a7),x1631),f18(f17(a1,a7),x1631))),
% 8.76/8.88 inference(scs_inference,[],[109,30,29,28,27,26,25,24,23])).
% 8.76/8.88 cnf(164,plain,
% 8.76/8.88 (E(f14(x1641,f5(a1,a7)),f14(x1641,f17(a1,a7)))),
% 8.76/8.88 inference(scs_inference,[],[109,30,29,28,27,26,25,24,23,22])).
% 8.76/8.88 cnf(166,plain,
% 8.76/8.88 (E(f12(x1661,f5(a1,a7)),f12(x1661,f17(a1,a7)))),
% 8.76/8.88 inference(scs_inference,[],[109,30,29,28,27,26,25,24,23,22,21,20])).
% 8.76/8.88 cnf(168,plain,
% 8.76/8.88 (E(f13(x1681,x1682,f5(a1,a7)),f13(x1681,x1682,f17(a1,a7)))),
% 8.76/8.88 inference(scs_inference,[],[109,30,29,28,27,26,25,24,23,22,21,20,19,18])).
% 8.76/8.88 cnf(169,plain,
% 8.76/8.88 (E(f13(x1691,f5(a1,a7),x1692),f13(x1691,f17(a1,a7),x1692))),
% 8.76/8.88 inference(scs_inference,[],[109,30,29,28,27,26,25,24,23,22,21,20,19,18,17])).
% 8.76/8.88 cnf(170,plain,
% 8.76/8.88 (E(f13(f5(a1,a7),x1701,x1702),f13(f17(a1,a7),x1701,x1702))),
% 8.76/8.88 inference(scs_inference,[],[109,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16])).
% 8.76/8.88 cnf(171,plain,
% 8.76/8.88 (E(f15(x1711,x1712,f5(a1,a7)),f15(x1711,x1712,f17(a1,a7)))),
% 8.76/8.88 inference(scs_inference,[],[109,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15])).
% 8.76/8.88 cnf(172,plain,
% 8.76/8.88 (E(f15(x1721,f5(a1,a7),x1722),f15(x1721,f17(a1,a7),x1722))),
% 8.76/8.88 inference(scs_inference,[],[109,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14])).
% 8.76/8.88 cnf(173,plain,
% 8.76/8.88 (E(f15(f5(a1,a7),x1731,x1732),f15(f17(a1,a7),x1731,x1732))),
% 8.76/8.88 inference(scs_inference,[],[109,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13])).
% 8.76/8.88 cnf(174,plain,
% 8.76/8.88 (E(f11(x1741,f5(a1,a7)),f11(x1741,f17(a1,a7)))),
% 8.76/8.88 inference(scs_inference,[],[109,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12])).
% 8.76/8.88 cnf(176,plain,
% 8.76/8.88 (E(f2(x1761,f5(a1,a7)),f2(x1761,f17(a1,a7)))),
% 8.76/8.88 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])).
% 8.76/8.88 cnf(180,plain,
% 8.76/8.88 (E(f17(x1801,f5(a1,a7)),f17(x1801,f17(a1,a7)))),
% 8.76/8.88 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])).
% 8.76/8.88 cnf(181,plain,
% 8.76/8.88 (E(f17(f5(a1,a7),x1811),f17(f17(a1,a7),x1811))),
% 8.76/8.88 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])).
% 8.76/8.88 cnf(182,plain,
% 8.76/8.88 (E(f8(f5(a1,a7)),f8(f17(a1,a7)))),
% 8.76/8.88 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])).
% 8.76/8.88 cnf(183,plain,
% 8.76/8.88 (~P5(f8(a7),a1)),
% 8.76/8.88 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])).
% 8.76/8.88 cnf(184,plain,
% 8.76/8.88 (P5(f8(x1841),x1841)),
% 8.76/8.88 inference(rename_variables,[],[101])).
% 8.76/8.88 cnf(185,plain,
% 8.76/8.88 (~P4(f8(x1851),x1851)),
% 8.76/8.88 inference(rename_variables,[],[99])).
% 8.76/8.88 cnf(187,plain,
% 8.76/8.88 (P5(f15(f11(a6,f17(a1,a7)),f17(a1,a7),f17(a1,a7)),f17(a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[47,99,101,126,105,109,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,84])).
% 8.76/8.88 cnf(188,plain,
% 8.76/8.88 (~P6(x1881,f17(a1,a7),f17(a1,a7))),
% 8.76/8.88 inference(rename_variables,[],[126])).
% 8.76/8.88 cnf(190,plain,
% 8.76/8.88 (~P4(f15(f8(f17(a1,a7)),f17(a1,a7),f17(a1,a7)),f17(a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[47,99,101,184,126,188,105,109,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,84,90])).
% 8.76/8.88 cnf(191,plain,
% 8.76/8.88 (~P6(x1911,f17(a1,a7),f17(a1,a7))),
% 8.76/8.88 inference(rename_variables,[],[126])).
% 8.76/8.88 cnf(192,plain,
% 8.76/8.88 (P5(f8(x1921),x1921)),
% 8.76/8.88 inference(rename_variables,[],[101])).
% 8.76/8.88 cnf(194,plain,
% 8.76/8.88 (~P5(f11(a6,f17(a1,a7)),a1)),
% 8.76/8.88 inference(scs_inference,[],[44,47,99,101,184,126,188,105,109,103,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,84,90,60])).
% 8.76/8.88 cnf(198,plain,
% 8.76/8.88 (P1(f12(f8(x1981),x1981),x1981)),
% 8.76/8.88 inference(scs_inference,[],[44,47,99,185,101,184,192,126,188,105,109,103,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,84,90,60,62,68])).
% 8.76/8.88 cnf(199,plain,
% 8.76/8.88 (P5(f8(x1991),x1991)),
% 8.76/8.88 inference(rename_variables,[],[101])).
% 8.76/8.88 cnf(201,plain,
% 8.76/8.88 (~E(f17(a1,a7),f17(a6,a6))),
% 8.76/8.88 inference(scs_inference,[],[44,47,99,185,101,184,192,126,188,105,109,103,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,84,90,60,62,68,65])).
% 8.76/8.88 cnf(205,plain,
% 8.76/8.88 (~P5(f8(a1),a7)),
% 8.76/8.88 inference(scs_inference,[],[44,47,99,185,101,184,192,199,126,188,105,92,109,103,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,84,90,60,62,68,65,55,82])).
% 8.76/8.88 cnf(206,plain,
% 8.76/8.88 (P5(f8(x2061),x2061)),
% 8.76/8.88 inference(rename_variables,[],[101])).
% 8.76/8.88 cnf(207,plain,
% 8.76/8.88 (~P4(f8(x2071),x2071)),
% 8.76/8.88 inference(rename_variables,[],[99])).
% 8.76/8.88 cnf(209,plain,
% 8.76/8.88 (E(f17(a1,a7),f5(a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[44,47,99,185,101,184,192,199,126,188,105,92,109,103,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,84,90,60,62,68,65,55,82,2])).
% 8.76/8.88 cnf(214,plain,
% 8.76/8.88 (P5(f8(f5(a1,a7)),f17(a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[44,47,99,185,101,184,192,199,206,126,188,105,92,109,103,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,84,90,60,62,68,65,55,82,2,74,73,41])).
% 8.76/8.88 cnf(215,plain,
% 8.76/8.88 (P5(f8(x2151),x2151)),
% 8.76/8.88 inference(rename_variables,[],[101])).
% 8.76/8.88 cnf(217,plain,
% 8.76/8.88 (P2(f8(x2171),x2171)),
% 8.76/8.88 inference(rename_variables,[],[46])).
% 8.76/8.88 cnf(218,plain,
% 8.76/8.88 (~P4(f8(f5(a1,a7)),f17(a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[44,47,46,99,185,207,101,184,192,199,206,126,188,105,92,109,103,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,84,90,60,62,68,65,55,82,2,74,73,41,36,34])).
% 8.76/8.88 cnf(219,plain,
% 8.76/8.88 (~P4(f8(x2191),x2191)),
% 8.76/8.88 inference(rename_variables,[],[99])).
% 8.76/8.88 cnf(221,plain,
% 8.76/8.88 (~P1(f5(a1,a7),a6)),
% 8.76/8.88 inference(scs_inference,[],[44,45,47,48,46,99,185,207,101,184,192,199,206,126,188,105,92,109,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,84,90,60,62,68,65,55,82,2,74,73,41,36,34,32,31])).
% 8.76/8.88 cnf(224,plain,
% 8.76/8.88 (P1(f14(f8(x2241),x2241),x2241)),
% 8.76/8.88 inference(scs_inference,[],[44,45,47,48,46,99,185,207,219,101,184,192,199,206,215,126,188,105,92,109,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,84,90,60,62,68,65,55,82,2,74,73,41,36,34,32,31,61,69])).
% 8.76/8.88 cnf(225,plain,
% 8.76/8.88 (P5(f8(x2251),x2251)),
% 8.76/8.88 inference(rename_variables,[],[101])).
% 8.76/8.88 cnf(227,plain,
% 8.76/8.88 (P5(f15(f8(f5(a1,a7)),f17(a1,a7),f17(a1,a7)),f17(a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[44,45,47,48,46,99,185,207,219,101,184,192,199,206,215,126,188,191,105,92,109,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,84,90,60,62,68,65,55,82,2,74,73,41,36,34,32,31,61,69,85])).
% 8.76/8.88 cnf(228,plain,
% 8.76/8.88 (~P6(x2281,f17(a1,a7),f17(a1,a7))),
% 8.76/8.88 inference(rename_variables,[],[126])).
% 8.76/8.88 cnf(230,plain,
% 8.76/8.88 (~P5(f11(a6,f5(a1,a7)),a6)),
% 8.76/8.88 inference(scs_inference,[],[44,45,47,48,46,99,185,207,219,101,184,192,199,206,215,126,188,191,105,92,109,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,84,90,60,62,68,65,55,82,2,74,73,41,36,34,32,31,61,69,85,40])).
% 8.76/8.88 cnf(231,plain,
% 8.76/8.88 (~E(f8(a1),f13(a1,a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[44,45,47,48,46,217,99,185,207,219,101,184,192,199,206,215,126,188,191,105,92,109,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,84,90,60,62,68,65,55,82,2,74,73,41,36,34,32,31,61,69,85,40,35])).
% 8.76/8.88 cnf(233,plain,
% 8.76/8.88 (~P4(f15(f8(f17(a1,a7)),f17(a1,a7),f5(a1,a7)),f17(a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[44,45,47,48,46,217,99,185,207,219,101,184,192,199,206,215,126,188,191,105,92,109,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,84,90,60,62,68,65,55,82,2,74,73,41,36,34,32,31,61,69,85,40,35,3,33])).
% 8.76/8.88 cnf(234,plain,
% 8.76/8.88 (P2(f15(f8(f17(a1,a7)),f17(a1,a7),f17(a1,a7)),f17(a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[44,45,47,48,46,217,99,185,207,219,101,184,192,199,206,215,126,188,191,130,105,92,109,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,84,90,60,62,68,65,55,82,2,74,73,41,36,34,32,31,61,69,85,40,35,3,33,58])).
% 8.76/8.88 cnf(238,plain,
% 8.76/8.88 (~P6(x2381,f17(a1,a7),f5(a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[44,45,47,48,46,217,99,185,207,219,101,184,192,199,206,215,126,188,191,228,130,105,92,109,118,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,84,90,60,62,68,65,55,82,2,74,73,41,36,34,32,31,61,69,85,40,35,3,33,58,88,39])).
% 8.76/8.88 cnf(239,plain,
% 8.76/8.88 (~P6(x2391,f5(a1,a7),f17(a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[44,45,47,48,46,217,99,185,207,219,101,184,192,199,206,215,126,188,191,228,130,105,92,109,118,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,84,90,60,62,68,65,55,82,2,74,73,41,36,34,32,31,61,69,85,40,35,3,33,58,88,39,38])).
% 8.76/8.88 cnf(240,plain,
% 8.76/8.88 (P5(f8(x2401),f14(f8(x2401),x2401))),
% 8.76/8.88 inference(scs_inference,[],[44,45,47,48,46,217,99,185,207,219,101,184,192,199,206,215,225,126,188,191,228,130,105,92,109,118,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,84,90,60,62,68,65,55,82,2,74,73,41,36,34,32,31,61,69,85,40,35,3,33,58,88,39,38,67])).
% 8.76/8.88 cnf(242,plain,
% 8.76/8.88 (P5(f8(x2421),f12(f8(x2421),x2421))),
% 8.76/8.88 inference(scs_inference,[],[44,45,47,48,46,217,99,185,207,219,101,184,192,199,206,215,225,126,188,191,228,130,105,92,109,118,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,84,90,60,62,68,65,55,82,2,74,73,41,36,34,32,31,61,69,85,40,35,3,33,58,88,39,38,67,66])).
% 8.76/8.88 cnf(244,plain,
% 8.76/8.88 (~P1(f14(f8(x2441),x2441),f12(f8(x2441),x2441))),
% 8.76/8.88 inference(scs_inference,[],[44,45,47,48,46,217,99,185,207,219,101,184,192,199,206,215,225,126,188,191,228,130,105,92,109,118,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,84,90,60,62,68,65,55,82,2,74,73,41,36,34,32,31,61,69,85,40,35,3,33,58,88,39,38,67,66,79])).
% 8.76/8.88 cnf(246,plain,
% 8.76/8.88 (~P1(f12(f8(x2461),x2461),f14(f8(x2461),x2461))),
% 8.76/8.88 inference(scs_inference,[],[44,45,47,48,46,217,99,185,207,219,101,184,192,199,206,215,225,126,188,191,228,130,105,92,109,118,103,116,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,81,84,90,60,62,68,65,55,82,2,74,73,41,36,34,32,31,61,69,85,40,35,3,33,58,88,39,38,67,66,79,78])).
% 8.76/8.88 cnf(252,plain,
% 8.76/8.88 (~P4(f15(f8(f5(a1,a7)),f17(a1,a7),f17(a1,a7)),f17(a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[214,126,90])).
% 8.76/8.88 cnf(255,plain,
% 8.76/8.88 (P5(f15(f8(f5(a1,a7)),f17(a1,a7),f5(a1,a7)),f5(a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[214,238,101,126,90,84])).
% 8.76/8.88 cnf(256,plain,
% 8.76/8.88 (~P6(x2561,f17(a1,a7),f5(a1,a7))),
% 8.76/8.88 inference(rename_variables,[],[238])).
% 8.76/8.88 cnf(257,plain,
% 8.76/8.88 (P5(f8(x2571),x2571)),
% 8.76/8.88 inference(rename_variables,[],[101])).
% 8.76/8.88 cnf(259,plain,
% 8.76/8.88 (P4(a9,a7)),
% 8.76/8.88 inference(scs_inference,[],[47,214,238,95,97,101,126,90,84,81])).
% 8.76/8.88 cnf(261,plain,
% 8.76/8.88 (P5(f13(a1,a1,a7),a6)),
% 8.76/8.88 inference(scs_inference,[],[45,47,214,238,93,95,97,101,126,90,84,81,60])).
% 8.76/8.88 cnf(263,plain,
% 8.76/8.88 (P5(f8(x2631),f17(f14(f8(x2631),x2631),f5(a1,a7)))),
% 8.76/8.88 inference(scs_inference,[],[45,47,240,180,214,238,93,95,97,101,126,90,84,81,60,62])).
% 8.76/8.88 cnf(266,plain,
% 8.76/8.88 (P5(f15(f8(f5(a1,a7)),f17(a1,a7),f5(a1,a7)),f17(a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[45,47,240,180,214,238,256,93,95,97,101,257,126,90,84,81,60,62,85])).
% 8.76/8.88 cnf(270,plain,
% 8.76/8.88 (P5(f8(x2701),f3(x2701,f8(x2701)))),
% 8.76/8.88 inference(scs_inference,[],[45,47,107,240,180,214,238,256,93,95,97,101,257,126,90,84,81,60,62,85,73])).
% 8.76/8.88 cnf(273,plain,
% 8.76/8.88 (P5(f8(x2731),f14(f8(x2731),x2731))),
% 8.76/8.88 inference(rename_variables,[],[240])).
% 8.76/8.88 cnf(274,plain,
% 8.76/8.88 (P5(f8(x2741),f18(x2741,f8(x2741)))),
% 8.76/8.88 inference(scs_inference,[],[45,47,107,240,180,214,238,256,93,183,95,97,101,257,126,90,84,81,60,62,85,73,41,74])).
% 8.76/8.88 cnf(276,plain,
% 8.76/8.88 (P5(f13(a1,a1,a7),f5(a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[45,47,107,240,180,214,238,256,93,183,95,97,101,257,126,109,90,84,81,60,62,85,73,41,74,61])).
% 8.76/8.88 cnf(279,plain,
% 8.76/8.88 (P1(f14(f8(f5(a1,a7)),f17(a1,a7)),f5(a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[45,47,107,224,240,164,180,214,238,256,112,93,183,95,97,101,257,126,109,90,84,81,60,62,85,73,41,74,61,2,31])).
% 8.76/8.88 cnf(282,plain,
% 8.76/8.88 (E(f13(x2821,f5(a1,a7),f5(a1,a7)),f13(x2821,f17(a1,a7),f17(a1,a7)))),
% 8.76/8.88 inference(scs_inference,[],[45,47,107,224,240,168,169,164,180,214,238,256,112,93,183,95,97,101,257,126,109,90,84,81,60,62,85,73,41,74,61,2,31,3])).
% 8.76/8.88 cnf(288,plain,
% 8.76/8.88 (P4(f2(a7,a9),a7)),
% 8.76/8.88 inference(scs_inference,[],[45,47,107,224,240,168,169,164,180,214,238,256,112,93,183,205,95,97,99,101,257,126,109,90,84,81,60,62,85,73,41,74,61,2,31,3,33,40,63])).
% 8.76/8.88 cnf(292,plain,
% 8.76/8.88 (P5(f2(a7,a9),a7)),
% 8.76/8.88 inference(scs_inference,[],[45,47,107,224,240,168,169,164,180,214,238,256,112,93,183,205,95,97,99,101,257,126,109,90,84,81,60,62,85,73,41,74,61,2,31,3,33,40,63,57,54])).
% 8.76/8.88 cnf(294,plain,
% 8.76/8.88 (~P2(a9,a7)),
% 8.76/8.88 inference(scs_inference,[],[45,47,107,224,240,168,169,164,180,214,238,256,112,93,183,205,95,97,99,101,257,126,109,90,84,81,60,62,85,73,41,74,61,2,31,3,33,40,63,57,54,56])).
% 8.76/8.88 cnf(298,plain,
% 8.76/8.88 (~P2(f11(a6,f17(a1,a7)),a1)),
% 8.76/8.88 inference(scs_inference,[],[45,47,107,224,240,168,169,164,180,214,238,256,112,93,194,183,205,95,97,99,101,257,126,109,90,84,81,60,62,85,73,41,74,61,2,31,3,33,40,63,57,54,56,80,55])).
% 8.76/8.88 cnf(302,plain,
% 8.76/8.88 (~P6(x3021,f17(a1,a7),f14(f8(f5(a1,a7)),f5(a1,a7)))),
% 8.76/8.88 inference(scs_inference,[],[45,47,107,224,240,273,227,168,169,164,180,218,214,238,256,112,93,194,183,205,95,97,99,101,257,126,109,90,84,81,60,62,85,73,41,74,61,2,31,3,33,40,63,57,54,56,80,55,58,82])).
% 8.76/8.88 cnf(326,plain,
% 8.76/8.88 (P7(a7)),
% 8.76/8.88 inference(scs_inference,[],[259,53,50])).
% 8.76/8.88 cnf(328,plain,
% 8.76/8.88 (P4(f10(a7),a7)),
% 8.76/8.88 inference(scs_inference,[],[259,53,50,49])).
% 8.76/8.88 cnf(330,plain,
% 8.76/8.88 (~P4(f11(a6,f5(a1,a7)),a6)),
% 8.76/8.88 inference(scs_inference,[],[259,230,53,50,49,54])).
% 8.76/8.88 cnf(332,plain,
% 8.76/8.88 (~P1(f3(a7,f8(a7)),a1)),
% 8.76/8.88 inference(scs_inference,[],[270,259,230,183,53,50,49,54,60])).
% 8.76/8.88 cnf(333,plain,
% 8.76/8.88 (P5(f8(x3331),f3(x3331,f8(x3331)))),
% 8.76/8.88 inference(rename_variables,[],[270])).
% 8.76/8.88 cnf(337,plain,
% 8.76/8.88 (P4(f8(x3371),f18(x3371,f8(x3371)))),
% 8.76/8.88 inference(scs_inference,[],[92,270,333,274,276,259,230,183,107,53,50,49,54,60,62,82])).
% 8.76/8.88 cnf(339,plain,
% 8.76/8.88 (P5(f8(x3391),f3(x3391,f8(x3391)))),
% 8.76/8.88 inference(rename_variables,[],[270])).
% 8.76/8.88 cnf(348,plain,
% 8.76/8.88 (~P6(x3481,f5(a1,a7),f5(a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[92,46,270,333,274,209,276,259,230,239,183,107,109,53,50,49,54,60,62,82,73,74,41,36,39])).
% 8.76/8.88 cnf(353,plain,
% 8.76/8.88 (~P2(f11(a6,f5(a1,a7)),a1)),
% 8.76/8.88 inference(scs_inference,[],[92,46,270,333,274,252,174,209,276,201,259,298,230,239,183,107,109,53,50,49,54,60,62,82,73,74,41,36,39,34,61,3,35])).
% 8.76/8.88 cnf(355,plain,
% 8.76/8.88 (E(f13(f17(a1,a7),x3551,x3552),f13(f5(a1,a7),x3551,x3552))),
% 8.76/8.88 inference(scs_inference,[],[92,46,270,333,274,252,170,174,209,276,201,259,298,230,239,183,107,109,53,50,49,54,60,62,82,73,74,41,36,39,34,61,3,35,2])).
% 8.76/8.88 cnf(357,plain,
% 8.76/8.88 (~E(f13(a1,a1,a7),f11(a6,f5(a1,a7)))),
% 8.76/8.88 inference(scs_inference,[],[45,92,46,48,270,333,274,252,170,174,209,276,261,201,259,298,230,239,183,107,109,53,50,49,54,60,62,82,73,74,41,36,39,34,61,3,35,2,31,40])).
% 8.76/8.88 cnf(358,plain,
% 8.76/8.88 (~P4(f15(f8(f5(a1,a7)),f17(a1,a7),f5(a1,a7)),f17(a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[45,92,46,48,270,333,274,252,170,171,174,209,276,261,201,259,298,230,239,183,107,109,53,50,49,54,60,62,82,73,74,41,36,39,34,61,3,35,2,31,40,33])).
% 8.76/8.88 cnf(361,plain,
% 8.76/8.88 (P1(f12(f8(x3611),x3611),x3611)),
% 8.76/8.88 inference(rename_variables,[],[198])).
% 8.76/8.88 cnf(368,plain,
% 8.76/8.88 (P5(f8(f17(a1,a7)),f5(a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[45,92,46,48,198,270,333,339,274,252,170,171,174,209,276,261,201,259,298,230,239,238,183,107,99,101,109,53,50,49,54,60,62,82,73,74,41,36,39,34,61,3,35,2,31,40,33,32,81,84,55])).
% 8.76/8.88 cnf(370,plain,
% 8.76/8.88 (~E(a1,f3(a7,f8(a7)))),
% 8.76/8.88 inference(scs_inference,[],[45,92,46,48,47,198,270,333,339,274,252,170,171,174,209,276,261,201,259,298,230,239,238,183,107,99,101,109,53,50,49,54,60,62,82,73,74,41,36,39,34,61,3,35,2,31,40,33,32,81,84,55,38])).
% 8.76/8.88 cnf(374,plain,
% 8.76/8.88 (P1(a7,a7)),
% 8.76/8.88 inference(scs_inference,[],[45,92,46,48,47,198,361,270,333,339,274,252,170,171,174,209,276,261,201,259,298,230,239,238,183,107,99,101,109,53,50,49,54,60,62,82,73,74,41,36,39,34,61,3,35,2,31,40,33,32,81,84,55,38,42,142,86])).
% 8.76/8.88 cnf(397,plain,
% 8.76/8.88 (~P5(f13(a1,a1,a7),f12(f8(a1),a1))),
% 8.76/8.88 inference(scs_inference,[],[92,358,266,328,198,54,58,60])).
% 8.76/8.88 cnf(398,plain,
% 8.76/8.88 (P1(f12(f8(x3981),x3981),x3981)),
% 8.76/8.88 inference(rename_variables,[],[198])).
% 8.76/8.88 cnf(401,plain,
% 8.76/8.88 (P5(f8(x4011),f17(f14(f8(x4011),x4011),f5(a1,a7)))),
% 8.76/8.88 inference(rename_variables,[],[263])).
% 8.76/8.88 cnf(403,plain,
% 8.76/8.88 (~P2(f8(a1),a7)),
% 8.76/8.88 inference(scs_inference,[],[92,358,266,263,328,198,205,54,58,60,65,55])).
% 8.76/8.88 cnf(407,plain,
% 8.76/8.88 (~P6(x4071,f5(a1,a7),f14(f8(f5(a1,a7)),f5(a1,a7)))),
% 8.76/8.88 inference(scs_inference,[],[92,358,266,302,263,328,198,194,205,105,109,54,58,60,65,55,62,38])).
% 8.76/8.88 cnf(408,plain,
% 8.76/8.88 (~P4(f15(f8(f5(a1,a7)),f17(a1,a7),f5(a1,a7)),f5(a1,a7))),
% 8.76/8.88 inference(scs_inference,[],[92,358,266,302,263,328,198,194,205,105,109,54,58,60,65,55,62,38,34])).
% 8.76/8.88 cnf(411,plain,
% 8.76/8.88 (P5(f8(x4111),f17(f14(f8(x4111),x4111),f17(a1,a7)))),
% 8.76/8.88 inference(scs_inference,[],[92,358,266,302,263,401,328,198,194,205,180,105,109,54,58,60,65,55,62,38,34,61,41])).
% 8.76/8.88 cnf(413,plain,
% 8.76/8.88 (E(f15(f5(a1,a7),f5(a1,a7),x4131),f15(f17(a1,a7),f17(a1,a7),x4131))),
% 8.76/8.88 inference(scs_inference,[],[92,358,266,302,172,173,263,401,328,198,194,205,180,105,109,54,58,60,65,55,62,38,34,61,41,3])).
% 8.76/8.88 cnf(414,plain,
% 8.76/8.88 (E(f15(x4141,f5(a1,a7),x4142),f15(x4141,f17(a1,a7),x4142))),
% 8.76/8.88 inference(rename_variables,[],[172])).
% 8.76/8.88 cnf(417,plain,
% 8.76/8.88 (P2(f8(x4171),x4171)),
% 8.76/8.88 inference(rename_variables,[],[46])).
% 8.76/8.88 cnf(420,plain,
% 8.76/8.88 (~E(f8(a1),f11(a6,f5(a1,a7)))),
% 8.76/8.88 inference(scs_inference,[],[46,417,92,358,266,302,172,173,263,401,353,332,328,198,398,194,205,180,105,109,54,58,60,65,55,62,38,34,61,41,3,36,31,35])).
% 8.76/8.89 cnf(422,plain,
% 8.76/8.89 (~P5(f11(a6,f5(a1,a7)),a1)),
% 8.76/8.89 inference(scs_inference,[],[46,417,92,358,266,302,172,173,263,401,353,332,328,198,398,174,194,205,180,105,109,54,58,60,65,55,62,38,34,61,41,3,36,31,35,40])).
% 8.76/8.89 cnf(424,plain,
% 8.76/8.89 (~E(f11(a6,f5(a1,a7)),f13(a1,a1,a7))),
% 8.76/8.89 inference(scs_inference,[],[46,417,92,358,266,302,172,173,263,401,357,353,332,328,198,398,174,194,205,180,105,109,54,58,60,65,55,62,38,34,61,41,3,36,31,35,40,2])).
% 8.76/8.89 cnf(425,plain,
% 8.76/8.89 (~P4(f15(f8(f5(a1,a7)),f5(a1,a7),f5(a1,a7)),f17(a1,a7))),
% 8.76/8.89 inference(scs_inference,[],[46,417,92,358,266,302,172,414,173,263,401,357,353,332,328,198,398,174,194,205,180,105,109,54,58,60,65,55,62,38,34,61,41,3,36,31,35,40,2,33])).
% 8.76/8.89 cnf(426,plain,
% 8.76/8.89 (E(f15(x4261,f5(a1,a7),x4262),f15(x4261,f17(a1,a7),x4262))),
% 8.76/8.89 inference(rename_variables,[],[172])).
% 8.76/8.89 cnf(427,plain,
% 8.76/8.89 (P1(f14(f8(f5(a1,a7)),f17(a1,a7)),f17(a1,a7))),
% 8.76/8.89 inference(scs_inference,[],[46,417,92,358,266,302,172,414,173,263,401,279,357,353,332,328,198,398,174,194,205,180,105,109,54,58,60,65,55,62,38,34,61,41,3,36,31,35,40,2,33,32])).
% 8.76/8.89 cnf(437,plain,
% 8.76/8.89 (~P5(f11(a1,a7),a1)),
% 8.76/8.89 inference(scs_inference,[],[47,93,46,417,92,337,358,266,302,172,414,173,263,401,279,357,353,332,328,198,398,174,194,205,116,180,99,101,105,109,54,58,60,65,55,62,38,34,61,41,3,36,31,35,40,2,33,32,56,81,82,39,70])).
% 8.76/8.89 cnf(440,plain,
% 8.76/8.89 (P5(f11(a6,f5(a1,a7)),f5(a1,a7))),
% 8.76/8.89 inference(scs_inference,[],[47,93,46,417,92,337,358,266,302,172,414,426,173,263,401,279,357,221,353,332,328,198,398,174,194,205,116,180,99,101,105,109,54,58,60,65,55,62,38,34,61,41,3,36,31,35,40,2,33,32,56,81,82,39,70,42,59])).
% 8.76/8.89 cnf(442,plain,
% 8.76/8.89 (P4(f16(a7),a7)),
% 8.76/8.89 inference(scs_inference,[],[47,93,46,417,92,337,358,266,302,172,414,426,173,263,401,279,357,221,374,353,332,288,328,326,198,398,174,194,205,116,180,99,101,105,109,54,58,60,65,55,62,38,34,61,41,3,36,31,35,40,2,33,32,56,81,82,39,70,42,59,86,51])).
% 8.76/8.89 cnf(448,plain,
% 8.76/8.89 (P5(a9,a6)),
% 8.76/8.89 inference(scs_inference,[],[397,95,44,54,60])).
% 8.76/8.89 cnf(450,plain,
% 8.76/8.89 (~E(f5(a1,a7),f17(a1,a1))),
% 8.76/8.89 inference(scs_inference,[],[440,397,422,95,44,54,60,65])).
% 8.76/8.89 cnf(456,plain,
% 8.76/8.89 (P2(f15(f8(f5(a1,a7)),f17(a1,a7),f5(a1,a7)),f5(a1,a7))),
% 8.76/8.89 inference(scs_inference,[],[408,440,397,422,255,95,44,54,60,65,73,74,58])).
% 8.76/8.89 cnf(458,plain,
% 8.76/8.89 (P4(f8(x4581),f3(x4581,f8(x4581)))),
% 8.76/8.89 inference(scs_inference,[],[408,440,397,422,255,270,274,95,44,107,54,60,65,73,74,58,81])).
% 8.76/8.89 cnf(465,plain,
% 8.76/8.89 (P5(f13(a1,a1,a7),f17(a7,f5(a1,a7)))),
% 8.76/8.89 inference(scs_inference,[],[93,408,440,113,397,422,242,255,368,270,274,95,180,44,107,54,60,65,73,74,58,81,82,62])).
% 8.76/8.89 cnf(471,plain,
% 8.76/8.89 (~P6(x4711,f17(a1,a7),f12(f8(f17(a1,a7)),f17(a1,a7)))),
% 8.76/8.89 inference(scs_inference,[],[93,408,440,113,397,422,242,255,368,270,274,95,181,180,209,44,107,54,60,65,73,74,58,81,82,62,61,38])).
% 8.76/8.89 cnf(474,plain,
% 8.76/8.89 (E(f13(f17(a1,a7),f5(a1,a7),f5(a1,a7)),f13(f5(a1,a7),f17(a1,a7),f17(a1,a7)))),
% 8.76/8.89 inference(scs_inference,[],[93,411,355,282,408,440,113,397,422,242,255,368,270,274,95,181,183,180,209,44,107,54,60,65,73,74,58,81,82,62,61,38,41,3])).
% 8.76/8.89 cnf(477,plain,
% 8.76/8.89 (P1(f12(f8(f5(a1,a7)),f17(a1,a7)),f5(a1,a7))),
% 8.76/8.89 inference(scs_inference,[],[93,411,355,166,282,408,440,113,397,422,242,255,368,270,274,95,198,181,183,180,209,44,107,54,60,65,73,74,58,81,82,62,61,38,41,3,31])).
% 8.76/8.89 cnf(480,plain,
% 8.76/8.89 (P5(f11(a6,f17(a1,a7)),f5(a1,a7))),
% 8.76/8.89 inference(scs_inference,[],[93,411,355,166,282,408,440,113,397,422,242,255,368,270,274,95,198,174,181,183,180,209,44,107,54,60,65,73,74,58,81,82,62,61,38,41,3,31,40])).
% 8.76/8.89 cnf(483,plain,
% 8.76/8.89 (E(f5(x4831,f17(a1,a7)),f5(x4831,f5(a1,a7)))),
% 8.76/8.89 inference(scs_inference,[],[93,46,411,355,156,166,282,408,440,113,397,422,403,242,255,368,270,274,95,198,174,181,183,180,209,44,107,54,60,65,73,74,58,81,82,62,61,38,41,3,31,40,35,2])).
% 8.76/8.89 cnf(493,plain,
% 8.76/8.89 (E(f14(x4931,f17(a1,a7)),f14(x4931,f5(a1,a7)))),
% 8.76/8.89 inference(scs_inference,[],[93,46,411,355,156,166,282,408,440,424,113,231,397,420,422,403,442,242,255,368,270,274,337,95,198,174,181,183,180,209,44,107,99,54,60,65,73,74,58,81,82,62,61,38,41,3,31,40,35,2,33,64,28,27,24,23,22])).
% 8.76/8.89 cnf(494,plain,
% 8.76/8.89 (E(f13(x4941,x4942,f17(a1,a7)),f13(x4941,x4942,f5(a1,a7)))),
% 8.76/8.89 inference(scs_inference,[],[93,46,411,355,156,166,282,408,440,424,113,231,397,420,422,403,442,242,255,368,270,274,337,95,198,174,181,183,180,209,44,107,99,54,60,65,73,74,58,81,82,62,61,38,41,3,31,40,35,2,33,64,28,27,24,23,22,18])).
% 8.76/8.89 cnf(496,plain,
% 8.76/8.89 (E(f11(x4961,f17(a1,a7)),f11(x4961,f5(a1,a7)))),
% 8.76/8.89 inference(scs_inference,[],[93,46,411,355,156,166,282,408,440,424,113,231,397,420,422,403,442,242,255,368,270,274,337,95,198,174,181,183,180,209,44,107,99,54,60,65,73,74,58,81,82,62,61,38,41,3,31,40,35,2,33,64,28,27,24,23,22,18,13,12])).
% 8.76/8.89 cnf(497,plain,
% 8.76/8.89 (E(f2(f17(a1,a7),x4971),f2(f5(a1,a7),x4971))),
% 8.76/8.89 inference(scs_inference,[],[93,46,411,355,156,166,282,408,440,424,113,231,397,420,422,403,442,242,255,368,270,274,337,95,198,174,181,183,180,209,44,107,99,54,60,65,73,74,58,81,82,62,61,38,41,3,31,40,35,2,33,64,28,27,24,23,22,18,13,12,9])).
% 8.76/8.89 cnf(500,plain,
% 8.76/8.89 (E(f17(f17(a1,a7),x5001),f17(f5(a1,a7),x5001))),
% 8.76/8.89 inference(scs_inference,[],[93,46,411,355,156,166,282,408,440,424,113,231,397,420,422,403,442,242,255,368,270,274,337,95,198,174,181,183,180,209,44,107,99,54,60,65,73,74,58,81,82,62,61,38,41,3,31,40,35,2,33,64,28,27,24,23,22,18,13,12,9,8,7,5])).
% 8.76/8.89 cnf(501,plain,
% 8.76/8.89 (E(f5(f17(a1,a7),x5011),f5(f5(a1,a7),x5011))),
% 8.76/8.89 inference(scs_inference,[],[93,46,411,355,156,166,282,408,440,424,113,231,397,420,422,403,442,242,255,368,270,274,337,95,198,174,181,183,180,209,44,107,99,54,60,65,73,74,58,81,82,62,61,38,41,3,31,40,35,2,33,64,28,27,24,23,22,18,13,12,9,8,7,5,29])).
% 8.76/8.89 cnf(503,plain,
% 8.76/8.89 (E(f3(f17(a1,a7),x5031),f3(f5(a1,a7),x5031))),
% 8.76/8.89 inference(scs_inference,[],[93,46,411,355,156,166,282,408,440,424,113,231,397,420,422,403,442,242,255,368,270,274,337,95,198,174,181,183,180,209,44,107,99,54,60,65,73,74,58,81,82,62,61,38,41,3,31,40,35,2,33,64,28,27,24,23,22,18,13,12,9,8,7,5,29,26,25])).
% 8.76/8.89 cnf(505,plain,
% 8.76/8.89 (E(f12(x5051,f17(a1,a7)),f12(x5051,f5(a1,a7)))),
% 8.76/8.89 inference(scs_inference,[],[93,46,411,355,156,166,282,408,440,424,113,231,397,420,422,403,442,242,255,368,270,274,337,95,198,174,181,183,180,209,44,107,99,54,60,65,73,74,58,81,82,62,61,38,41,3,31,40,35,2,33,64,28,27,24,23,22,18,13,12,9,8,7,5,29,26,25,21,20])).
% 8.76/8.89 cnf(507,plain,
% 8.76/8.89 (E(f13(x5071,f17(a1,a7),x5072),f13(x5071,f5(a1,a7),x5072))),
% 8.76/8.89 inference(scs_inference,[],[93,46,411,355,156,166,282,408,440,424,113,231,397,420,422,403,442,242,255,368,270,274,337,95,198,174,181,183,180,209,44,107,99,54,60,65,73,74,58,81,82,62,61,38,41,3,31,40,35,2,33,64,28,27,24,23,22,18,13,12,9,8,7,5,29,26,25,21,20,19,17])).
% 8.76/8.89 cnf(508,plain,
% 8.76/8.89 (E(f15(x5081,x5082,f17(a1,a7)),f15(x5081,x5082,f5(a1,a7)))),
% 8.76/8.89 inference(scs_inference,[],[93,46,411,355,156,166,282,408,440,424,113,231,397,420,422,403,442,242,255,368,270,274,337,95,198,174,181,183,180,209,44,107,99,54,60,65,73,74,58,81,82,62,61,38,41,3,31,40,35,2,33,64,28,27,24,23,22,18,13,12,9,8,7,5,29,26,25,21,20,19,17,15])).
% 8.76/8.89 cnf(509,plain,
% 8.76/8.89 (E(f15(x5091,f17(a1,a7),x5092),f15(x5091,f5(a1,a7),x5092))),
% 8.76/8.89 inference(scs_inference,[],[93,46,411,355,156,166,282,408,440,424,113,231,397,420,422,403,442,242,255,368,270,274,337,95,198,174,181,183,180,209,44,107,99,54,60,65,73,74,58,81,82,62,61,38,41,3,31,40,35,2,33,64,28,27,24,23,22,18,13,12,9,8,7,5,29,26,25,21,20,19,17,15,14])).
% 8.76/8.89 cnf(512,plain,
% 8.76/8.89 (E(f17(x5121,f17(a1,a7)),f17(x5121,f5(a1,a7)))),
% 8.76/8.89 inference(scs_inference,[],[93,46,411,355,156,166,282,408,440,424,113,231,397,420,422,403,442,242,255,368,270,274,337,95,198,174,181,183,180,209,44,107,99,54,60,65,73,74,58,81,82,62,61,38,41,3,31,40,35,2,33,64,28,27,24,23,22,18,13,12,9,8,7,5,29,26,25,21,20,19,17,15,14,11,10,6])).
% 8.76/8.89 cnf(513,plain,
% 8.76/8.89 (P1(f12(f8(f17(a1,a7)),f5(a1,a7)),f5(a1,a7))),
% 8.76/8.89 inference(scs_inference,[],[93,46,411,355,156,166,282,408,440,424,113,231,397,420,422,403,442,242,255,368,270,274,337,95,198,174,181,183,180,209,44,107,99,54,60,65,73,74,58,81,82,62,61,38,41,3,31,40,35,2,33,64,28,27,24,23,22,18,13,12,9,8,7,5,29,26,25,21,20,19,17,15,14,11,10,6,68])).
% 8.76/8.89 cnf(515,plain,
% 8.76/8.89 (E(f8(f17(a1,a7)),f8(f5(a1,a7)))),
% 8.76/8.89 inference(scs_inference,[],[93,46,411,355,156,166,282,408,440,424,113,231,397,420,422,403,442,242,255,368,270,274,337,95,198,174,181,183,180,209,44,107,99,54,60,65,73,74,58,81,82,62,61,38,41,3,31,40,35,2,33,64,28,27,24,23,22,18,13,12,9,8,7,5,29,26,25,21,20,19,17,15,14,11,10,6,68,4])).
% 8.76/8.89 cnf(516,plain,
% 8.76/8.89 (P1(f14(f8(f17(a1,a7)),f5(a1,a7)),f5(a1,a7))),
% 8.76/8.89 inference(scs_inference,[],[93,46,411,355,156,166,282,408,440,424,113,231,397,420,422,403,442,242,255,368,270,274,337,95,198,174,181,183,180,209,44,107,99,54,60,65,73,74,58,81,82,62,61,38,41,3,31,40,35,2,33,64,28,27,24,23,22,18,13,12,9,8,7,5,29,26,25,21,20,19,17,15,14,11,10,6,68,4,69])).
% 8.76/8.89 cnf(518,plain,
% 8.76/8.89 (E(f14(f8(f5(a1,a7)),f17(a1,a7)),f17(a1,a7))+P7(f14(f8(f5(a1,a7)),f17(a1,a7)))),
% 8.76/8.89 inference(scs_inference,[],[93,46,411,427,355,156,166,282,408,440,424,113,231,397,420,422,403,442,242,255,368,270,274,337,95,198,174,181,183,180,209,44,107,99,54,60,65,73,74,58,81,82,62,61,38,41,3,31,40,35,2,33,64,28,27,24,23,22,18,13,12,9,8,7,5,29,26,25,21,20,19,17,15,14,11,10,6,68,4,69,52])).
% 8.76/8.89 cnf(525,plain,
% 8.76/8.89 (P1(f12(f8(f5(a1,a7)),f17(a1,a7)),f17(a1,a7))),
% 8.76/8.89 inference(scs_inference,[],[218,214,68])).
% 8.76/8.89 cnf(529,plain,
% 8.76/8.89 (~P1(f5(a1,a7),a1)),
% 8.84/8.89 inference(scs_inference,[],[480,218,442,214,194,68,54,60])).
% 8.84/8.89 cnf(531,plain,
% 8.84/8.89 (P5(f2(a7,a9),f17(a7,f17(a1,a7)))),
% 8.84/8.89 inference(scs_inference,[],[512,480,292,218,442,214,194,68,54,60,62])).
% 8.84/8.89 cnf(532,plain,
% 8.84/8.89 (E(f17(x5321,f17(a1,a7)),f17(x5321,f5(a1,a7)))),
% 8.84/8.89 inference(rename_variables,[],[512])).
% 8.84/8.89 cnf(534,plain,
% 8.84/8.89 (P5(f2(a7,a9),f17(f17(a1,a7),a7))),
% 8.84/8.89 inference(scs_inference,[],[512,500,480,292,218,442,214,194,68,54,60,62,61])).
% 8.84/8.89 cnf(543,plain,
% 8.84/8.89 (P2(f15(f8(f5(a1,a7)),f5(a1,a7),f5(a1,a7)),f5(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[93,509,512,500,425,456,516,480,450,292,437,164,218,95,397,442,214,194,109,68,54,60,62,61,34,3,40,41,31,35])).
% 8.84/8.89 cnf(545,plain,
% 8.84/8.89 (~P4(f15(f8(f5(a1,a7)),f5(a1,a7),f17(a1,a7)),f17(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[93,508,509,512,500,425,456,516,480,450,292,437,164,218,95,397,442,214,194,109,68,54,60,62,61,34,3,40,41,31,35,33])).
% 8.84/8.89 cnf(547,plain,
% 8.84/8.89 (~E(f17(a1,a1),f5(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[93,508,509,512,500,425,456,516,480,450,292,437,164,218,95,397,442,214,194,109,68,54,60,62,61,34,3,40,41,31,35,33,2])).
% 8.84/8.89 cnf(548,plain,
% 8.84/8.89 (P4(f2(a7,f2(a7,a9)),a7)),
% 8.84/8.89 inference(scs_inference,[],[93,508,509,512,500,425,456,516,480,450,292,437,164,288,218,95,397,442,214,194,109,68,54,60,62,61,34,3,40,41,31,35,33,2,63])).
% 8.84/8.89 cnf(550,plain,
% 8.84/8.89 (~E(f2(f3(x5501,f8(x5501)),f8(x5501)),f8(x5501))),
% 8.84/8.89 inference(scs_inference,[],[93,458,508,509,512,500,425,456,516,480,450,292,437,164,288,218,95,397,442,214,194,109,68,54,60,62,61,34,3,40,41,31,35,33,2,63,57])).
% 8.84/8.89 cnf(562,plain,
% 8.84/8.89 (P1(f14(f8(x5621),x5621),x5621)),
% 8.84/8.89 inference(rename_variables,[],[224])).
% 8.84/8.89 cnf(571,plain,
% 8.84/8.89 (~P2(a9,x5711)+~E(x5711,a7)),
% 8.84/8.89 inference(scs_inference,[],[94,93,458,507,508,509,512,532,500,425,456,516,480,450,292,437,294,244,246,164,288,218,224,562,95,198,397,442,214,194,109,68,54,60,62,61,34,3,40,41,31,35,33,2,63,57,65,52,69,86,80,43,82,36])).
% 8.84/8.89 cnf(576,plain,
% 8.84/8.89 (P5(f15(f11(a6,f17(a1,a7)),f17(a1,a7),f5(a1,a7)),f17(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[348,480,238,105,84,85])).
% 8.84/8.89 cnf(579,plain,
% 8.84/8.89 (~P4(f11(a6,f5(a1,a7)),a1)),
% 8.84/8.89 inference(scs_inference,[],[348,480,422,238,105,84,85,54])).
% 8.84/8.89 cnf(581,plain,
% 8.84/8.89 (P5(f15(f8(f5(a1,a7)),f5(a1,a7),f5(a1,a7)),f5(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[543,348,480,422,238,105,84,85,54,55])).
% 8.84/8.89 cnf(583,plain,
% 8.84/8.89 (P5(f11(a6,f17(a1,a7)),a7)),
% 8.84/8.89 inference(scs_inference,[],[543,348,480,422,238,194,105,109,84,85,54,55,65])).
% 8.84/8.89 cnf(585,plain,
% 8.84/8.89 (~P5(f13(a1,a1,a7),f14(f8(a1),a1))),
% 8.84/8.89 inference(scs_inference,[],[92,543,348,480,422,238,224,194,105,109,84,85,54,55,65,60])).
% 8.84/8.89 cnf(588,plain,
% 8.84/8.89 (P4(a9,a1)),
% 8.84/8.89 inference(scs_inference,[],[92,543,348,480,97,422,238,224,95,194,105,47,109,84,85,54,55,65,60,82])).
% 8.84/8.89 cnf(600,plain,
% 8.84/8.89 (P5(f2(a7,a9),f17(a7,f5(a1,a7)))),
% 8.84/8.89 inference(scs_inference,[],[92,93,501,545,483,543,187,531,348,509,512,480,97,422,238,224,95,397,194,105,47,109,84,85,54,55,65,60,82,62,61,34,3,40,41])).
% 8.84/8.89 cnf(602,plain,
% 8.84/8.89 (~P1(f17(a1,a7),a1)),
% 8.84/8.89 inference(scs_inference,[],[92,93,501,545,483,543,187,531,529,348,509,512,480,97,422,238,224,95,397,194,105,47,209,109,84,85,54,55,65,60,82,62,61,34,3,40,41,31])).
% 8.84/8.89 cnf(605,plain,
% 8.84/8.89 (P2(f15(f8(f5(a1,a7)),f5(a1,a7),f17(a1,a7)),f5(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[92,93,501,545,483,496,543,187,531,529,330,348,509,512,171,480,97,422,238,224,95,397,194,105,47,209,109,84,85,54,55,65,60,82,62,61,34,3,40,41,31,33,35])).
% 8.84/8.89 cnf(607,plain,
% 8.84/8.89 (E(f13(f5(a1,a7),f17(a1,a7),f17(a1,a7)),f13(f17(a1,a7),f5(a1,a7),f5(a1,a7)))),
% 8.84/8.89 inference(scs_inference,[],[92,93,501,545,483,496,474,543,187,531,529,330,348,509,512,171,480,97,422,238,224,95,397,194,105,47,209,109,84,85,54,55,65,60,82,62,61,34,3,40,41,31,33,35,2])).
% 8.84/8.89 cnf(614,plain,
% 8.84/8.89 (P2(f15(f8(f5(a1,a7)),f5(a1,a7),f5(a1,a7)),f17(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[92,93,501,545,483,496,474,543,187,531,529,330,348,458,509,512,171,480,97,422,238,224,95,397,44,194,105,47,209,109,84,85,54,55,65,60,82,62,61,34,3,40,41,31,33,35,2,53,50,80,36])).
% 8.84/8.89 cnf(619,plain,
% 8.84/8.89 (~P6(x6191,f5(a1,a7),f14(f8(f5(a1,a7)),f17(a1,a7)))),
% 8.84/8.89 inference(scs_inference,[],[92,93,501,545,483,493,496,474,543,407,187,531,529,330,348,458,509,512,171,480,97,422,221,238,224,95,397,44,194,105,47,209,109,84,85,54,55,65,60,82,62,61,34,3,40,41,31,33,35,2,53,50,80,36,86,81,39])).
% 8.84/8.89 cnf(621,plain,
% 8.84/8.89 (~P1(f17(a1,a7),x6211)+~E(x6211,a6)),
% 8.84/8.89 inference(scs_inference,[],[48,92,93,501,545,483,493,496,474,543,407,187,531,529,330,348,458,509,512,171,480,97,422,221,238,224,95,397,44,194,105,47,209,109,84,85,54,55,65,60,82,62,61,34,3,40,41,31,33,35,2,53,50,80,36,86,81,39,32])).
% 8.84/8.89 cnf(632,plain,
% 8.84/8.89 (~P6(x6321,x6322,f17(f14(f8(x6322),x6322),f17(a1,a7)))),
% 8.84/8.89 inference(scs_inference,[],[92,585,465,548,411,348,440,101,99,85,54,55,65,82])).
% 8.84/8.89 cnf(639,plain,
% 8.84/8.89 (P5(a9,f17(f17(a1,a7),a1))),
% 8.84/8.89 inference(scs_inference,[],[95,92,585,465,548,411,500,348,512,440,101,99,85,54,55,65,82,62,61])).
% 8.84/8.89 cnf(642,plain,
% 8.84/8.89 (E(f13(f5(a1,a7),f17(a1,a7),f5(a1,a7)),f13(f17(a1,a7),f5(a1,a7),f5(a1,a7)))),
% 8.84/8.89 inference(scs_inference,[],[95,92,607,585,465,548,411,500,168,348,512,440,101,99,85,54,55,65,82,62,61,3])).
% 8.84/8.89 cnf(649,plain,
% 8.84/8.89 (P1(f12(f8(f5(a1,a7)),f5(a1,a7)),f17(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[95,92,525,607,581,576,585,465,548,505,411,500,168,348,509,512,440,101,99,109,85,54,55,65,82,62,61,3,40,41,33,31])).
% 8.84/8.89 cnf(652,plain,
% 8.84/8.89 (~P5(f11(a1,f17(a1,a7)),a1)),
% 8.84/8.89 inference(scs_inference,[],[95,92,550,525,607,581,576,585,465,602,548,505,411,500,168,348,509,512,440,101,99,109,85,54,55,65,82,62,61,3,40,41,33,31,2,70])).
% 8.84/8.89 cnf(656,plain,
% 8.84/8.89 (P5(f11(a1,f17(a1,a7)),f17(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[95,92,550,525,607,581,576,585,465,602,548,505,411,500,168,348,509,512,440,101,99,109,85,54,55,65,82,62,61,3,40,41,33,31,2,70,56,59])).
% 8.84/8.89 cnf(661,plain,
% 8.84/8.89 (P1(f12(f8(f17(a1,a7)),f5(a1,a7)),f17(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[95,92,93,550,525,619,607,581,513,576,585,465,602,548,505,411,500,168,348,509,512,440,101,99,209,109,85,54,55,65,82,62,61,3,40,41,33,31,2,70,56,59,58,38,32])).
% 8.84/8.89 cnf(682,plain,
% 8.84/8.89 (~P4(f11(a1,f17(a1,a7)),a1)),
% 8.84/8.89 inference(scs_inference,[],[652,54])).
% 8.84/8.89 cnf(686,plain,
% 8.84/8.89 (~E(f17(f14(f8(a7),a7),f5(a1,a7)),f17(a1,a1))),
% 8.84/8.89 inference(scs_inference,[],[605,652,263,183,54,55,65])).
% 8.84/8.89 cnf(689,plain,
% 8.84/8.89 (~P6(x6891,f17(a1,a7),f12(f8(f5(a1,a7)),f5(a1,a7)))),
% 8.84/8.89 inference(scs_inference,[],[605,652,263,242,218,183,214,54,55,65,82])).
% 8.84/8.89 cnf(692,plain,
% 8.84/8.89 (P5(f2(a7,a9),f17(f17(a7,f5(a1,a7)),f17(a1,a7)))),
% 8.84/8.89 inference(scs_inference,[],[605,600,652,263,242,218,512,183,214,54,55,65,82,62])).
% 8.84/8.89 cnf(695,plain,
% 8.84/8.89 (~P6(x6951,f17(a1,a7),f12(f8(f17(a1,a7)),f5(a1,a7)))),
% 8.84/8.89 inference(scs_inference,[],[605,471,600,652,263,242,166,218,512,183,214,54,55,65,82,62,39])).
% 8.84/8.89 cnf(700,plain,
% 8.84/8.89 (~P5(f11(a1,f5(a1,a7)),a1)),
% 8.84/8.89 inference(scs_inference,[],[605,471,600,448,652,263,242,166,500,218,512,183,174,214,54,55,65,82,62,39,61,40])).
% 8.84/8.89 cnf(710,plain,
% 8.84/8.89 (E(f13(f17(a1,a7),f5(a1,a7),f5(a1,a7)),f13(f5(a1,a7),f17(a1,a7),f5(a1,a7)))),
% 8.84/8.89 inference(scs_inference,[],[93,642,605,471,547,600,448,579,652,263,585,242,493,496,172,166,427,500,218,512,183,174,214,209,54,55,65,82,62,39,61,40,3,41,33,31,35,2])).
% 8.84/8.89 cnf(726,plain,
% 8.84/8.89 (~P6(f11(a1,f17(a1,a7)),a1,x7261)),
% 8.84/8.89 inference(scs_inference,[],[94,93,642,605,471,233,547,600,448,579,652,588,263,585,242,493,496,172,166,427,500,218,512,183,174,214,209,109,54,55,65,82,62,39,61,40,3,41,33,31,35,2,58,38,64,78,66,79,67,73,74])).
% 8.84/8.89 cnf(730,plain,
% 8.84/8.89 (P4(a9,x7301)+~E(a1,x7301)),
% 8.84/8.89 inference(scs_inference,[],[94,93,642,605,471,233,547,600,448,579,652,588,263,585,242,493,496,172,166,427,500,218,512,183,174,214,209,109,54,55,65,82,62,39,61,40,3,41,33,31,35,2,58,38,64,78,66,79,67,73,74,81,34])).
% 8.84/8.89 cnf(734,plain,
% 8.84/8.89 (P1(a1,a1)),
% 8.84/8.89 inference(scs_inference,[],[726,588,44,47,37,86])).
% 8.84/8.89 cnf(738,plain,
% 8.84/8.89 (~P6(x7381,f5(a1,a7),f14(f8(f17(a1,a7)),f17(a1,a7)))),
% 8.84/8.89 inference(scs_inference,[],[726,700,240,588,113,368,44,47,37,86,55,82])).
% 8.84/8.89 cnf(747,plain,
% 8.84/8.89 (~P4(f15(f8(f17(a1,a7)),f17(a1,a7),f17(a1,a7)),f5(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[93,726,700,632,190,240,585,588,113,368,44,47,109,37,86,55,82,62,61,39,34])).
% 8.84/8.89 cnf(751,plain,
% 8.84/8.89 (P5(f11(a6,f5(a1,a7)),a7)),
% 8.84/8.89 inference(scs_inference,[],[93,726,583,700,632,503,160,190,240,585,496,588,113,368,44,47,109,37,86,55,82,62,61,39,34,3,40])).
% 8.84/8.89 cnf(753,plain,
% 8.84/8.89 (P5(f2(a7,a9),f17(f5(a1,a7),a7))),
% 8.84/8.89 inference(scs_inference,[],[93,534,726,583,700,632,503,160,190,240,585,496,588,113,500,368,44,47,109,37,86,55,82,62,61,39,34,3,40,41])).
% 8.84/8.89 cnf(755,plain,
% 8.84/8.89 (P2(f15(f8(f5(a1,a7)),f5(a1,a7),f17(a1,a7)),f17(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[93,534,726,583,700,632,503,614,160,190,240,585,496,171,588,113,500,368,44,47,109,37,86,55,82,62,61,39,34,3,40,41,35])).
% 8.84/8.89 cnf(760,plain,
% 8.84/8.89 (~E(f2(a7,f10(a7)),f10(a7))),
% 8.84/8.89 inference(scs_inference,[],[93,370,534,726,583,700,632,503,614,160,190,328,240,585,496,171,588,113,500,368,198,44,116,47,109,37,86,55,82,62,61,39,34,3,40,41,35,31,2,57])).
% 8.84/8.89 cnf(762,plain,
% 8.84/8.89 (P4(f2(a7,f10(a7)),a7)),
% 8.84/8.89 inference(scs_inference,[],[93,370,534,726,583,700,632,503,614,160,190,328,240,585,496,171,588,113,500,368,198,44,116,47,109,37,86,55,82,62,61,39,34,3,40,41,35,31,2,57,63])).
% 8.84/8.89 cnf(783,plain,
% 8.84/8.89 (E(f17(x7831,f17(a1,a7)),f17(x7831,f5(a1,a7)))),
% 8.84/8.89 inference(rename_variables,[],[512])).
% 8.84/8.89 cnf(788,plain,
% 8.84/8.89 (~P6(x7881,f5(a1,a7),f14(f8(f17(a1,a7)),f5(a1,a7)))),
% 8.84/8.89 inference(scs_inference,[],[97,755,738,751,700,164,181,230,512,55,54,65,62,61,39])).
% 8.84/8.89 cnf(791,plain,
% 8.84/8.89 (E(f13(f17(a1,a7),f5(a1,a7),f17(a1,a7)),f13(f5(a1,a7),f17(a1,a7),f5(a1,a7)))),
% 8.84/8.89 inference(scs_inference,[],[97,755,738,710,751,494,233,700,164,181,230,512,109,55,54,65,62,61,39,34,3])).
% 8.84/8.89 cnf(796,plain,
% 8.84/8.89 (~P4(f15(f8(f17(a1,a7)),f5(a1,a7),f17(a1,a7)),f5(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[97,755,738,710,747,692,751,494,233,700,172,164,181,230,205,512,783,109,55,54,65,62,61,39,34,3,40,41,33])).
% 8.84/8.89 cnf(825,plain,
% 8.84/8.89 (~P5(f11(a6,f5(a1,a7)),f14(f8(a6),a6))),
% 8.84/8.89 inference(scs_inference,[],[224,230,60])).
% 8.84/8.89 cnf(826,plain,
% 8.84/8.89 (P1(f14(f8(x8261),x8261),x8261)),
% 8.84/8.89 inference(rename_variables,[],[224])).
% 8.84/8.89 cnf(835,plain,
% 8.84/8.89 (P5(f2(a7,a9),f17(f17(f5(a1,a7),a7),f17(a1,a7)))),
% 8.84/8.89 inference(scs_inference,[],[753,762,270,437,183,224,230,512,60,55,54,65,62])).
% 8.84/8.89 cnf(843,plain,
% 8.84/8.89 (~E(f3(x8431,f8(x8431)),x8431)),
% 8.84/8.89 inference(scs_inference,[],[97,99,689,753,762,505,270,437,458,500,183,224,230,512,60,55,54,65,62,61,39,34])).
% 8.84/8.89 cnf(847,plain,
% 8.84/8.89 (~P5(f11(a6,f17(a1,a7)),f14(f8(a6),a6))),
% 8.84/8.89 inference(scs_inference,[],[97,99,689,686,753,762,505,270,437,458,500,183,496,224,230,512,180,60,55,54,65,62,61,39,34,3,40])).
% 8.84/8.89 cnf(849,plain,
% 8.84/8.89 (~E(a7,a6)),
% 8.84/8.89 inference(scs_inference,[],[97,99,689,686,753,762,751,505,270,437,458,500,183,496,224,230,512,180,60,55,54,65,62,61,39,34,3,40,41])).
% 8.84/8.89 cnf(854,plain,
% 8.84/8.89 (~E(f17(a1,a1),f17(f14(f8(a7),a7),f5(a1,a7)))),
% 8.84/8.89 inference(scs_inference,[],[97,99,689,686,753,762,751,505,529,270,437,458,500,183,496,224,826,230,512,180,60,55,54,65,62,61,39,34,3,40,41,33,31,2])).
% 8.84/8.89 cnf(855,plain,
% 8.84/8.89 (~P2(f2(a7,f10(a7)),a7)),
% 8.84/8.89 inference(scs_inference,[],[97,99,689,686,753,762,751,505,529,270,437,458,500,183,496,224,826,230,512,180,60,55,54,65,62,61,39,34,3,40,41,33,31,2,56])).
% 8.84/8.89 cnf(857,plain,
% 8.84/8.89 (P5(f11(a1,f5(a1,a7)),f5(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[97,99,689,686,753,762,751,505,529,270,437,458,500,183,496,224,826,230,512,180,60,55,54,65,62,61,39,34,3,40,41,33,31,2,56,59])).
% 8.84/8.89 cnf(861,plain,
% 8.84/8.89 (P2(f15(f8(f17(a1,a7)),f17(a1,a7),f5(a1,a7)),f17(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[97,99,689,686,753,656,762,234,751,508,505,529,270,437,458,500,183,496,224,826,230,512,180,60,55,54,65,62,61,39,34,3,40,41,33,31,2,56,59,69,35])).
% 8.84/8.89 cnf(868,plain,
% 8.84/8.89 (~P4(f15(f11(a1,f5(a1,a7)),f5(a1,a7),f5(a1,a7)),f5(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[857,348,90])).
% 8.84/8.89 cnf(869,plain,
% 8.84/8.89 (~P6(x8691,f5(a1,a7),f5(a1,a7))),
% 8.84/8.89 inference(rename_variables,[],[348])).
% 8.84/8.89 cnf(871,plain,
% 8.84/8.89 (P5(f15(f11(a1,f5(a1,a7)),f5(a1,a7),f5(a1,a7)),f5(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[857,348,869,90,84])).
% 8.84/8.89 cnf(880,plain,
% 8.84/8.89 (~E(f14(f8(a6),a6),f17(x8801,a7))),
% 8.84/8.89 inference(scs_inference,[],[847,861,857,583,348,869,90,84,55,54,62,61])).
% 8.84/8.89 cnf(882,plain,
% 8.84/8.89 (P2(f15(f8(f17(a1,a7)),f17(a1,a7),f5(a1,a7)),f5(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[847,861,857,583,348,869,209,90,84,55,54,62,61,36])).
% 8.84/8.89 cnf(883,plain,
% 8.84/8.89 (~P4(f15(f8(f17(a1,a7)),f5(a1,a7),f17(a1,a7)),f17(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[847,861,796,857,583,348,869,209,90,84,55,54,62,61,36,34])).
% 8.84/8.89 cnf(884,plain,
% 8.84/8.89 (E(f2(f17(a1,a7),f5(a1,a7)),f2(f5(a1,a7),f17(a1,a7)))),
% 8.84/8.89 inference(scs_inference,[],[847,861,796,857,497,176,583,348,869,209,90,84,55,54,62,61,36,34,3])).
% 8.84/8.89 cnf(887,plain,
% 8.84/8.89 (P5(f11(a1,f17(a1,a7)),f5(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[847,861,796,857,497,176,583,348,869,174,209,90,84,55,54,62,61,36,34,3,40])).
% 8.84/8.89 cnf(893,plain,
% 8.84/8.89 (P2(f15(f8(f17(a1,a7)),f5(a1,a7),f5(a1,a7)),f17(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[99,847,861,796,857,639,497,176,583,348,869,509,288,174,500,209,90,84,55,54,62,61,36,34,3,40,41,33,35])).
% 8.84/8.89 cnf(896,plain,
% 8.84/8.89 (~P6(f11(a6,f17(a1,a7)),x8961,f14(f8(a6),a6))),
% 8.84/8.89 inference(scs_inference,[],[99,791,847,861,796,857,639,497,176,583,348,869,509,288,174,500,209,90,84,55,54,62,61,36,34,3,40,41,33,35,2,73])).
% 8.84/8.89 cnf(900,plain,
% 8.84/8.89 (~P6(x9001,f17(a1,a7),f14(f8(f17(a1,a7)),f5(a1,a7)))),
% 8.84/8.89 inference(scs_inference,[],[99,791,788,847,861,796,857,639,497,176,583,348,869,509,288,174,500,209,90,84,55,54,62,61,36,34,3,40,41,33,35,2,73,58,38])).
% 8.84/8.89 cnf(914,plain,
% 8.84/8.89 (~P4(f15(f11(a1,f17(a1,a7)),f5(a1,a7),f5(a1,a7)),f5(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[887,348,90])).
% 8.84/8.89 cnf(915,plain,
% 8.84/8.89 (~P6(x9151,f5(a1,a7),f5(a1,a7))),
% 8.84/8.89 inference(rename_variables,[],[348])).
% 8.84/8.89 cnf(917,plain,
% 8.84/8.89 (P5(f15(f11(a1,f17(a1,a7)),f5(a1,a7),f5(a1,a7)),f5(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[887,348,915,90,84])).
% 8.84/8.89 cnf(922,plain,
% 8.84/8.89 (P5(f8(a7),a6)),
% 8.84/8.89 inference(scs_inference,[],[101,887,348,915,458,45,90,84,56,60])).
% 8.84/8.89 cnf(923,plain,
% 8.84/8.89 (P5(f8(x9231),x9231)),
% 8.84/8.89 inference(rename_variables,[],[101])).
% 8.84/8.89 cnf(927,plain,
% 8.84/8.89 (~E(f17(a1,a7),f14(f8(f5(a1,a7)),f5(a1,a7)))),
% 8.84/8.89 inference(scs_inference,[],[101,825,887,649,246,348,915,458,45,90,84,56,60,55,32])).
% 8.84/8.89 cnf(929,plain,
% 8.84/8.89 (P5(f8(f17(a1,a7)),f17(f5(a1,a7),x9291))),
% 8.84/8.89 inference(scs_inference,[],[101,923,825,887,649,246,348,915,458,181,45,90,84,56,60,55,32,62])).
% 8.84/8.89 cnf(930,plain,
% 8.84/8.89 (P5(f8(x9301),x9301)),
% 8.84/8.89 inference(rename_variables,[],[101])).
% 8.84/8.89 cnf(932,plain,
% 8.84/8.89 (P5(f8(x9321),f17(f5(a1,a7),x9321))),
% 8.84/8.89 inference(scs_inference,[],[101,923,930,825,887,649,246,348,915,458,181,45,90,84,56,60,55,32,62,61])).
% 8.84/8.89 cnf(935,plain,
% 8.84/8.89 (P2(f15(f8(f17(a1,a7)),f5(a1,a7),f5(a1,a7)),f5(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[101,923,930,825,887,893,649,246,348,915,458,181,45,209,90,84,56,60,55,32,62,61,36])).
% 8.84/8.89 cnf(942,plain,
% 8.84/8.89 (~E(x9421,f3(x9421,f8(x9421)))),
% 8.84/8.89 inference(scs_inference,[],[101,923,930,95,843,825,871,868,887,893,855,649,422,508,246,348,915,458,181,45,46,209,109,90,84,56,60,55,32,62,61,36,40,41,33,35,2])).
% 8.84/8.89 cnf(945,plain,
% 8.84/8.89 (P4(f2(a7,f16(a7)),a7)),
% 8.84/8.89 inference(scs_inference,[],[101,923,930,95,843,825,871,868,887,893,855,649,422,508,246,348,915,458,442,181,45,46,209,109,90,84,56,60,55,32,62,61,36,40,41,33,35,2,57,63])).
% 8.84/8.89 cnf(947,plain,
% 8.84/8.89 (P2(f15(f11(a1,f5(a1,a7)),f5(a1,a7),f5(a1,a7)),f5(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[101,923,930,95,843,825,871,868,887,893,855,649,422,508,246,348,915,458,442,181,45,46,209,109,90,84,56,60,55,32,62,61,36,40,41,33,35,2,57,63,58])).
% 8.84/8.89 cnf(958,plain,
% 8.84/8.89 (~P6(x9581,x9582,x9582)),
% 8.84/8.89 inference(scs_inference,[],[101,99,935,56,81])).
% 8.84/8.89 cnf(959,plain,
% 8.84/8.89 (~P4(f8(x9591),x9591)),
% 8.84/8.89 inference(rename_variables,[],[99])).
% 8.84/8.89 cnf(961,plain,
% 8.84/8.89 (~P1(a1,a7)),
% 8.84/8.89 inference(scs_inference,[],[101,99,935,205,56,81,60])).
% 8.84/8.89 cnf(962,plain,
% 8.84/8.89 (P5(f8(x9621),x9621)),
% 8.84/8.89 inference(rename_variables,[],[101])).
% 8.84/8.89 cnf(969,plain,
% 8.84/8.89 (P5(f8(x9691),x9691)),
% 8.84/8.89 inference(rename_variables,[],[101])).
% 8.84/8.89 cnf(972,plain,
% 8.84/8.89 (P5(f8(x9721),x9721)),
% 8.84/8.89 inference(rename_variables,[],[101])).
% 8.84/8.89 cnf(974,plain,
% 8.84/8.89 (~E(f17(a1,a7),f14(f8(f5(a1,a7)),f17(a1,a7)))),
% 8.84/8.89 inference(scs_inference,[],[101,962,969,99,927,882,935,825,493,205,56,81,60,55,54,62,61,3])).
% 8.84/8.89 cnf(977,plain,
% 8.84/8.89 (P5(f8(x9771),x9771)),
% 8.84/8.89 inference(rename_variables,[],[101])).
% 8.84/8.89 cnf(981,plain,
% 8.84/8.89 (P2(f15(f11(a1,f5(a1,a7)),f5(a1,a7),f17(a1,a7)),f5(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[101,962,969,972,99,959,927,947,882,935,945,825,751,493,437,171,205,56,81,60,55,54,62,61,3,40,41,33,35])).
% 8.84/8.89 cnf(983,plain,
% 8.84/8.89 (E(f15(f17(a1,a7),f17(a1,a7),x9831),f15(f5(a1,a7),f5(a1,a7),x9831))),
% 8.84/8.89 inference(scs_inference,[],[101,962,969,972,99,959,927,947,882,935,945,413,825,751,493,437,171,205,56,81,60,55,54,62,61,3,40,41,33,35,2])).
% 8.84/8.89 cnf(984,plain,
% 8.84/8.89 (~P3(a1)),
% 8.84/8.89 inference(scs_inference,[],[101,962,969,972,99,959,927,947,882,935,945,413,825,751,493,437,171,588,205,56,81,60,55,54,62,61,3,40,41,33,35,2,53])).
% 8.84/8.89 cnf(988,plain,
% 8.84/8.89 (P4(f16(a1),a1)),
% 8.84/8.89 inference(scs_inference,[],[101,962,969,972,99,959,927,947,882,935,945,413,825,751,493,437,171,588,205,56,81,60,55,54,62,61,3,40,41,33,35,2,53,50,51])).
% 8.84/8.89 cnf(997,plain,
% 8.84/8.89 (~P5(f11(a7,a1),a7)),
% 8.84/8.89 inference(scs_inference,[],[101,962,969,972,99,959,927,947,661,854,882,935,945,413,825,261,751,493,437,171,588,205,92,56,81,60,55,54,62,61,3,40,41,33,35,2,53,50,51,52,65,88,42,70])).
% 8.84/8.89 cnf(999,plain,
% 8.84/8.89 (P5(f15(f8(f17(a1,a7)),f5(a1,a7),f17(a1,a7)),f5(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[101,962,969,972,977,99,959,927,947,661,854,882,935,945,413,825,261,239,751,493,437,171,368,588,205,92,56,81,60,55,54,62,61,3,40,41,33,35,2,53,50,51,52,65,88,42,70,85])).
% 8.84/8.89 cnf(1007,plain,
% 8.84/8.89 (P4(f10(a1),a1)),
% 8.84/8.89 inference(scs_inference,[],[984,49])).
% 8.84/8.89 cnf(1009,plain,
% 8.84/8.89 (P5(f15(a9,a1,a1),a1)),
% 8.84/8.89 inference(scs_inference,[],[95,958,984,49,85])).
% 8.84/8.89 cnf(1010,plain,
% 8.84/8.89 (~P6(x10101,x10102,x10102)),
% 8.84/8.89 inference(rename_variables,[],[958])).
% 8.84/8.89 cnf(1015,plain,
% 8.84/8.89 (~P4(f8(x10151),x10151)),
% 8.84/8.89 inference(rename_variables,[],[99])).
% 8.84/8.89 cnf(1017,plain,
% 8.84/8.89 (~P5(x10171,x10172)+P4(x10171,x10173)+~P5(x10171,x10173)+~P6(x10174,x10173,x10172)),
% 8.84/8.89 inference(rename_variables,[],[82])).
% 8.84/8.89 cnf(1018,plain,
% 8.84/8.89 (~P5(f11(a6,f17(a1,a7)),f12(f8(a6),a6))),
% 8.84/8.89 inference(scs_inference,[],[95,103,101,99,958,929,988,984,198,49,85,56,82,60])).
% 8.84/8.89 cnf(1021,plain,
% 8.84/8.89 (~P4(a9,a6)),
% 8.84/8.89 inference(scs_inference,[],[95,103,97,101,99,958,961,929,988,984,198,44,45,116,49,85,56,82,60,80])).
% 8.84/8.89 cnf(1023,plain,
% 8.84/8.89 (~P2(f11(a6,f17(a1,a7)),a6)),
% 8.84/8.89 inference(scs_inference,[],[95,103,97,101,99,958,961,929,988,984,198,44,45,116,49,85,56,82,60,80,55])).
% 8.84/8.89 cnf(1032,plain,
% 8.84/8.89 (~E(f5(a1,a7),f14(f8(f5(a1,a7)),f17(a1,a7)))),
% 8.84/8.89 inference(scs_inference,[],[95,103,97,101,99,958,961,974,981,929,988,984,583,198,44,45,116,209,109,49,85,56,82,60,80,55,62,54,61,36,3])).
% 8.84/8.89 cnf(1037,plain,
% 8.84/8.89 (P2(f15(f11(a1,f5(a1,a7)),f17(a1,a7),f17(a1,a7)),f5(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[95,103,97,101,99,1015,958,961,974,981,999,929,988,984,583,508,172,198,44,45,116,209,109,49,85,56,82,60,80,55,62,54,61,36,3,40,33,35])).
% 8.84/8.89 cnf(1044,plain,
% 8.84/8.89 (~P6(x10441,a6,a1)),
% 8.84/8.89 inference(scs_inference,[],[95,103,97,101,99,1015,942,958,961,974,981,999,929,988,984,448,583,508,172,198,44,45,116,209,109,49,85,56,82,60,80,55,62,54,61,36,3,40,33,35,2,730,518,52,1017])).
% 8.84/8.89 cnf(1049,plain,
% 8.84/8.89 (P5(f15(f8(f17(a1,a7)),f5(a1,a7),f17(a1,a7)),f17(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[95,103,97,101,99,1015,942,958,961,974,981,999,929,988,984,448,700,583,508,172,493,857,198,44,45,116,209,109,49,85,56,82,60,80,55,62,54,61,36,3,40,33,35,2,730,518,52,1017,43,65,41])).
% 8.84/8.89 cnf(1051,plain,
% 8.84/8.89 (~P1(f12(a9,a6),f14(a9,a6))),
% 8.84/8.89 inference(scs_inference,[],[95,103,97,101,99,1015,942,958,961,974,981,999,929,988,984,516,448,700,583,508,172,493,857,198,44,45,116,209,109,49,85,56,82,60,80,55,62,54,61,36,3,40,33,35,2,730,518,52,1017,43,65,41,142,78])).
% 8.84/8.89 cnf(1054,plain,
% 8.84/8.89 (~P1(f14(a9,a6),f12(a9,a6))),
% 8.84/8.89 inference(scs_inference,[],[95,103,97,101,99,1015,942,958,961,974,983,981,999,929,988,984,516,448,700,583,508,172,493,857,198,44,45,116,209,109,49,85,56,82,60,80,55,62,54,61,36,3,40,33,35,2,730,518,52,1017,43,65,41,142,78,42,79])).
% 8.84/8.89 cnf(1063,plain,
% 8.84/8.89 (P5(a9,f14(a9,a6))),
% 8.84/8.89 inference(scs_inference,[],[95,103,97,101,99,1015,942,958,1010,961,974,983,981,999,929,988,984,516,448,700,583,508,172,493,857,198,44,45,116,209,109,49,85,56,82,60,80,55,62,54,61,36,3,40,33,35,2,730,518,52,1017,43,65,41,142,78,42,79,66,59,84,67])).
% 8.84/8.89 cnf(1065,plain,
% 8.84/8.89 (P1(f14(a9,a6),a6)),
% 8.84/8.89 inference(scs_inference,[],[95,103,97,101,99,1015,942,958,1010,961,974,983,981,999,929,988,984,516,448,700,583,508,172,493,857,198,44,45,116,209,109,49,85,56,82,60,80,55,62,54,61,36,3,40,33,35,2,730,518,52,1017,43,65,41,142,78,42,79,66,59,84,67,69])).
% 8.84/8.89 cnf(1074,plain,
% 8.84/8.89 (~P4(f15(f11(a1,f5(a1,a7)),f17(a1,a7),f17(a1,a7)),f5(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[1037,56])).
% 8.84/8.89 cnf(1081,plain,
% 8.84/8.89 (P5(f8(f14(a9,a6)),a6)),
% 8.84/8.89 inference(scs_inference,[],[95,101,1037,1049,883,1065,1044,448,56,85,58,60])).
% 8.84/8.89 cnf(1082,plain,
% 8.84/8.89 (P5(f8(x10821),x10821)),
% 8.84/8.89 inference(rename_variables,[],[101])).
% 8.84/8.89 cnf(1084,plain,
% 8.84/8.89 (P5(f15(f11(a1,f5(a1,a7)),f17(a1,a7),f17(a1,a7)),f5(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[95,101,1037,1049,883,1065,1044,448,56,85,58,60,55])).
% 8.84/8.89 cnf(1086,plain,
% 8.84/8.89 (P5(f8(f5(a1,a7)),f17(f17(a1,a7),x10861))),
% 8.84/8.89 inference(scs_inference,[],[95,101,1082,1037,1049,883,1065,1044,500,448,56,85,58,60,55,62])).
% 8.84/8.89 cnf(1087,plain,
% 8.84/8.89 (P5(f8(x10871),x10871)),
% 8.84/8.89 inference(rename_variables,[],[101])).
% 8.84/8.89 cnf(1093,plain,
% 8.84/8.89 (P5(f8(f17(a1,a7)),f17(x10931,f5(a1,a7)))),
% 8.84/8.89 inference(scs_inference,[],[95,101,1082,1087,900,1037,1049,883,1018,1065,1044,493,500,180,448,56,85,58,60,55,62,54,39,61])).
% 8.84/8.89 cnf(1098,plain,
% 8.84/8.89 (E(f4(f5(a1,a7),f5(a1,a7)),f4(f17(a1,a7),f17(a1,a7)))),
% 8.84/8.89 inference(scs_inference,[],[95,101,1082,1087,900,1037,1049,883,1018,1054,1065,1044,158,159,493,224,500,180,448,56,85,58,60,55,62,54,39,61,31,3])).
% 8.84/8.89 cnf(1104,plain,
% 8.84/8.89 (~P4(f15(f11(a1,f17(a1,a7)),f17(a1,a7),f5(a1,a7)),f5(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[95,97,101,1082,1087,900,914,1037,1049,883,1018,1054,1023,1065,1044,997,158,159,509,493,224,500,180,448,46,56,85,58,60,55,62,54,39,61,31,3,40,35,33])).
% 8.84/8.89 cnf(1113,plain,
% 8.84/8.89 (P2(f15(f11(a1,f5(a1,a7)),f17(a1,a7),f17(a1,a7)),f17(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[95,103,97,101,1082,1087,900,914,1037,1049,883,1009,1018,1054,1023,1065,1044,997,158,159,884,509,493,224,500,180,448,46,47,109,56,85,58,60,55,62,54,39,61,31,3,40,35,33,2,73,74,82,36])).
% 8.84/8.89 cnf(1129,plain,
% 8.84/8.89 (P1(f12(a9,a6),a6)),
% 8.84/8.89 inference(scs_inference,[],[1021,448,68])).
% 8.84/8.89 cnf(1131,plain,
% 8.84/8.89 (~P2(f2(a7,f16(a7)),a7)),
% 8.84/8.89 inference(scs_inference,[],[1021,945,448,68,56])).
% 8.84/8.89 cnf(1133,plain,
% 8.84/8.89 (P2(a9,a6)),
% 8.84/8.89 inference(scs_inference,[],[1021,945,448,68,56,58])).
% 8.84/8.89 cnf(1135,plain,
% 8.84/8.89 (~P1(a6,a1)),
% 8.84/8.89 inference(scs_inference,[],[1021,922,945,183,448,68,56,58,60])).
% 8.84/8.89 cnf(1139,plain,
% 8.84/8.89 (P5(a9,f17(f14(a9,a6),f17(a1,a7)))),
% 8.84/8.89 inference(scs_inference,[],[1063,1021,922,1018,945,183,512,448,68,56,58,60,55,62])).
% 8.84/8.89 cnf(1142,plain,
% 8.84/8.89 (P5(f10(a1),a1)),
% 8.84/8.89 inference(scs_inference,[],[1063,1021,922,1018,945,1007,183,512,448,68,56,58,60,55,62,54])).
% 8.84/8.89 cnf(1150,plain,
% 8.84/8.89 (~P5(f11(a6,f5(a1,a7)),f12(f8(a6),a6))),
% 8.84/8.89 inference(scs_inference,[],[1032,1063,1021,922,1018,945,1007,294,164,174,183,181,512,448,68,56,58,60,55,62,54,61,36,3,40])).
% 8.84/8.89 cnf(1152,plain,
% 8.84/8.89 (P2(f15(f11(a1,f5(a1,a7)),f17(a1,a7),f5(a1,a7)),f17(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[1032,1113,1063,1021,922,1018,945,1007,294,508,164,174,183,181,512,448,68,56,58,60,55,62,54,61,36,3,40,35])).
% 8.84/8.89 cnf(1153,plain,
% 8.84/8.89 (E(f15(x11531,x11532,f17(a1,a7)),f15(x11531,x11532,f5(a1,a7)))),
% 8.84/8.89 inference(rename_variables,[],[508])).
% 8.84/8.89 cnf(1154,plain,
% 8.84/8.89 (~P4(f15(f11(a1,f17(a1,a7)),f17(a1,a7),f17(a1,a7)),f5(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[1032,1104,1113,1063,1021,922,1018,945,1007,294,508,1153,164,174,183,181,512,448,68,56,58,60,55,62,54,61,36,3,40,35,33])).
% 8.84/8.89 cnf(1156,plain,
% 8.84/8.89 (~E(f14(f8(f5(a1,a7)),f17(a1,a7)),f5(a1,a7))),
% 8.84/8.89 inference(scs_inference,[],[1032,1104,1113,1063,1021,922,1018,945,1007,294,508,1153,164,174,183,181,512,448,68,56,58,60,55,62,54,61,36,3,40,35,33,2])).
% 8.84/8.89 cnf(1157,plain,
% 8.84/8.89 (E(f17(f18(a6,a9),f3(a6,a9)),a6)),
% 8.84/8.89 inference(scs_inference,[],[1032,1104,1113,1063,1021,922,1018,945,1007,294,508,1153,164,174,183,181,512,448,68,56,58,60,55,62,54,61,36,3,40,35,33,2,72])).
% 8.84/8.89 cnf(1159,plain,
% 8.84/8.89 (P6(a9,f18(a6,a9),f3(a6,a9))),
% 8.84/8.89 inference(scs_inference,[],[1032,1104,1113,1063,1021,922,1018,945,1007,294,508,1153,164,174,183,181,512,448,68,56,58,60,55,62,54,61,36,3,40,35,33,2,72,77])).
% 8.84/8.89 cnf(1165,plain,
% 8.84/8.89 (P4(f2(a1,f10(a1)),a1)),
% 8.84/8.89 inference(scs_inference,[],[1032,1104,1113,1063,1021,922,1018,945,1007,294,508,1153,164,174,183,181,512,448,47,109,68,56,58,60,55,62,54,61,36,3,40,35,33,2,72,77,83,57,63])).
% 8.84/8.89 cnf(1167,plain,
% 8.84/8.89 (P5(a9,f3(a6,a9))),
% 8.84/8.89 inference(scs_inference,[],[1032,1104,1113,1063,1021,922,1018,945,1007,294,508,1153,164,174,183,181,512,448,47,109,68,56,58,60,55,62,54,61,36,3,40,35,33,2,72,77,83,57,63,73])).
% 8.84/8.89 cnf(1169,plain,
% 8.84/8.89 (P5(a9,f18(a6,a9))),
% 8.84/8.89 inference(scs_inference,[],[1032,1104,1113,1063,1021,922,1018,945,1007,294,508,1153,164,174,183,181,512,448,47,109,68,56,58,60,55,62,54,61,36,3,40,35,33,2,72,77,83,57,63,73,74])).
% 8.84/8.89 cnf(1171,plain,
% 8.84/8.89 (~P5(f8(f3(a6,a9)),f18(a6,a9))),
% 8.84/8.89 inference(scs_inference,[],[101,99,1032,1104,1113,1063,1021,922,1018,945,1007,294,508,1153,164,174,183,181,512,448,47,109,68,56,58,60,55,62,54,61,36,3,40,35,33,2,72,77,83,57,63,73,74,81])).
% 8.84/8.89 cnf(1172,plain,
% 8.84/8.89 (P5(f8(x11721),x11721)),
% 8.84/8.89 inference(rename_variables,[],[101])).
% 8.84/8.89 cnf(1173,plain,
% 8.84/8.89 (~P4(f8(x11731),x11731)),
% 8.84/8.89 inference(rename_variables,[],[99])).
% 8.84/8.89 cnf(1175,plain,
% 8.84/8.89 (~P6(x11751,a6,a7)),
% 8.84/8.89 inference(scs_inference,[],[97,101,99,1032,1104,1113,1063,1021,922,1018,945,1007,294,508,1153,164,174,183,181,512,448,47,109,68,56,58,60,55,62,54,61,36,3,40,35,33,2,72,77,83,57,63,73,74,81,82])).
% 8.84/8.89 cnf(1177,plain,
% 8.84/8.89 (~E(f3(a6,a9),f17(f18(a6,a9),f18(a6,a9)))),
% 8.84/8.89 inference(scs_inference,[],[97,101,1172,99,1032,1104,1113,1063,1021,922,1018,945,1007,294,508,1153,164,174,183,181,512,448,47,109,68,56,58,60,55,62,54,61,36,3,40,35,33,2,72,77,83,57,63,73,74,81,82,65])).
% 8.84/8.89 cnf(1178,plain,
% 8.84/8.89 (P5(f8(x11781),x11781)),
% 8.84/8.89 inference(rename_variables,[],[101])).
% 8.84/8.89 cnf(1181,plain,
% 8.84/8.89 (~P5(f11(a6,f17(a1,a7)),f17(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.89 inference(scs_inference,[],[97,101,1172,103,99,1032,1104,1113,1063,1021,922,1018,945,1007,294,508,1153,164,174,183,181,512,448,47,109,68,56,58,60,55,62,54,61,36,3,40,35,33,2,72,77,83,57,63,73,74,81,82,65,31,41])).
% 8.84/8.89 cnf(1182,plain,
% 8.84/8.89 (~P1(f17(a1,a7),f17(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.89 inference(scs_inference,[],[97,101,1172,103,99,1032,1104,1113,1063,1021,922,1018,945,1007,294,508,1153,164,174,183,181,512,448,47,109,68,56,58,60,55,62,54,61,36,3,40,35,33,2,72,77,83,57,63,73,74,81,82,65,31,41,621])).
% 8.84/8.89 cnf(1183,plain,
% 8.84/8.89 (E(f5(f18(a6,a9),f3(a6,a9)),f17(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.89 inference(scs_inference,[],[97,101,1172,103,99,1032,1104,1113,1063,1021,922,1018,945,1007,294,508,1153,164,174,183,181,512,448,47,109,68,56,58,60,55,62,54,61,36,3,40,35,33,2,72,77,83,57,63,73,74,81,82,65,31,41,621,75])).
% 8.84/8.89 cnf(1194,plain,
% 8.84/8.89 (~P4(f8(a6),f17(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.89 inference(scs_inference,[],[97,101,1172,1178,103,99,1173,1032,896,1104,1113,1051,1063,1021,922,1054,1018,945,1065,1044,1007,294,508,1153,164,221,174,458,183,181,512,448,47,109,68,56,58,60,55,62,54,61,36,3,40,35,33,2,72,77,83,57,63,73,74,81,82,65,31,41,621,75,84,86,80,39,34])).
% 8.84/8.89 cnf(1197,plain,
% 8.84/8.89 (P5(f15(f8(x11971),x11971,x11971),x11971)),
% 8.84/8.89 inference(scs_inference,[],[101,958,84])).
% 8.84/8.89 cnf(1202,plain,
% 8.84/8.89 (~P6(f11(a6,f17(a1,a7)),x12021,f17(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.89 inference(scs_inference,[],[101,1181,958,84,73])).
% 8.84/8.89 cnf(1204,plain,
% 8.84/8.89 (~P6(f11(a6,f17(a1,a7)),f17(f18(a6,a9),f3(a6,a9)),x12041)),
% 8.84/8.89 inference(scs_inference,[],[101,1181,958,84,73,74])).
% 8.84/8.89 cnf(1206,plain,
% 8.84/8.89 (~P4(f15(f11(a1,f5(a1,a7)),f17(a1,a7),f5(a1,a7)),f17(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[101,1181,1152,958,84,73,74,56])).
% 8.84/8.90 cnf(1211,plain,
% 8.84/8.90 (~P6(x12111,f17(f18(a6,a9),f3(a6,a9)),a7)),
% 8.84/8.90 inference(scs_inference,[],[101,1181,1171,1152,1157,1175,932,958,84,73,74,56,65,38])).
% 8.84/8.90 cnf(1212,plain,
% 8.84/8.90 (~P5(f11(a6,f17(a1,a7)),f12(a9,a6))),
% 8.84/8.90 inference(scs_inference,[],[101,103,1181,1171,1152,1129,1157,1175,932,958,84,73,74,56,65,38,60])).
% 8.84/8.90 cnf(1214,plain,
% 8.84/8.90 (~E(f17(f18(a6,a9),f3(a6,a9)),f17(f17(a1,a7),x12141))),
% 8.84/8.90 inference(scs_inference,[],[105,101,103,1181,1171,1152,1129,1157,1175,932,958,84,73,74,56,65,38,60,62])).
% 8.84/8.90 cnf(1218,plain,
% 8.84/8.90 (~P4(f11(a6,f17(a1,a7)),f17(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[105,101,103,1181,1171,1152,1129,1157,1175,932,958,84,73,74,56,65,38,60,62,55,54])).
% 8.84/8.90 cnf(1222,plain,
% 8.84/8.90 (P2(f15(f11(a1,f5(a1,a7)),f17(a1,a7),f5(a1,a7)),f5(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[105,101,103,1181,1171,1152,1129,1157,1175,932,958,209,84,73,74,56,65,38,60,62,55,54,61,36])).
% 8.84/8.90 cnf(1223,plain,
% 8.84/8.90 (~E(f18(x12231,f8(x12231)),x12231)),
% 8.84/8.90 inference(scs_inference,[],[105,101,103,99,1181,1171,1152,1129,1157,1175,932,958,337,209,84,73,74,56,65,38,60,62,55,54,61,36,34])).
% 8.84/8.90 cnf(1229,plain,
% 8.84/8.90 (P5(f15(f11(a1,f5(a1,a7)),f5(a1,a7),f17(a1,a7)),f5(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[105,101,103,99,1156,1181,1171,1084,1152,1129,1157,1175,932,958,509,221,493,337,209,84,73,74,56,65,38,60,62,55,54,61,36,34,3,31,41,40])).
% 8.84/8.90 cnf(1230,plain,
% 8.84/8.90 (E(f15(x12301,f17(a1,a7),x12302),f15(x12301,f5(a1,a7),x12302))),
% 8.84/8.90 inference(rename_variables,[],[509])).
% 8.84/8.90 cnf(1231,plain,
% 8.84/8.90 (P2(f15(f11(a1,f5(a1,a7)),f5(a1,a7),f5(a1,a7)),f17(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[105,101,103,99,1156,1181,1171,1084,1152,1129,1157,1175,932,958,509,1230,221,493,337,209,84,73,74,56,65,38,60,62,55,54,61,36,34,3,31,41,40,35])).
% 8.84/8.90 cnf(1238,plain,
% 8.84/8.90 (~P5(f11(a1,a6),a1)),
% 8.84/8.90 inference(scs_inference,[],[105,101,103,99,1156,1098,1181,1171,1084,1152,1129,1165,1157,1175,1135,932,958,509,1230,221,493,337,47,209,109,84,73,74,56,65,38,60,62,55,54,61,36,34,3,31,41,40,35,33,2,83,70])).
% 8.84/8.90 cnf(1244,plain,
% 8.84/8.90 (P6(x12441,f18(a6,a9),f3(a6,a9))+~E(a9,x12441)),
% 8.84/8.90 inference(scs_inference,[],[105,101,103,99,1156,1098,1181,1171,1084,1152,1159,1129,1165,1157,1175,1135,932,958,509,1230,221,493,337,47,209,109,84,73,74,56,65,38,60,62,55,54,61,36,34,3,31,41,40,35,33,2,83,70,6,5,69,37])).
% 8.84/8.90 cnf(1249,plain,
% 8.84/8.90 (~P6(f11(a6,f5(a1,a7)),x12491,f17(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[1202,174,37])).
% 8.84/8.90 cnf(1253,plain,
% 8.84/8.90 (P5(f8(f12(a9,a6)),a6)),
% 8.84/8.90 inference(scs_inference,[],[101,1202,1129,1165,174,37,56,60])).
% 8.84/8.90 cnf(1254,plain,
% 8.84/8.90 (P5(f8(x12541),x12541)),
% 8.84/8.90 inference(rename_variables,[],[101])).
% 8.84/8.90 cnf(1256,plain,
% 8.84/8.90 (P5(f8(f18(a6,a9)),f5(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[101,1254,1202,1183,1129,1165,174,37,56,60,62])).
% 8.84/8.90 cnf(1257,plain,
% 8.84/8.90 (P5(f8(x12571),x12571)),
% 8.84/8.90 inference(rename_variables,[],[101])).
% 8.84/8.90 cnf(1261,plain,
% 8.84/8.90 (P5(f2(a1,f10(a1)),a1)),
% 8.84/8.90 inference(scs_inference,[],[101,1254,1202,1211,1183,1129,1165,174,47,37,56,60,62,38,54])).
% 8.84/8.90 cnf(1265,plain,
% 8.84/8.90 (P5(f8(f3(a6,a9)),f5(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[101,1254,1257,1202,1212,1211,1183,1129,1165,174,47,37,56,60,62,38,54,55,61])).
% 8.84/8.90 cnf(1268,plain,
% 8.84/8.90 (~P2(f11(a6,f17(a1,a7)),f17(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[101,1254,1257,1202,1212,1211,1183,1157,1023,1129,1165,174,47,37,56,60,62,38,54,55,61,36])).
% 8.84/8.90 cnf(1269,plain,
% 8.84/8.90 (~P4(f11(a6,f17(a1,a7)),f5(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[101,1254,1257,1202,1218,1212,1211,1183,1157,1023,1129,1165,174,47,37,56,60,62,38,54,55,61,36,34])).
% 8.84/8.90 cnf(1271,plain,
% 8.84/8.90 (E(f5(f18(a6,a9),f3(a6,a9)),a6)),
% 8.84/8.90 inference(scs_inference,[],[101,1254,1257,1202,1218,1212,1211,1183,1182,1157,1023,1129,1165,174,47,109,37,56,60,62,38,54,55,61,36,34,31,3])).
% 8.84/8.90 cnf(1272,plain,
% 8.84/8.90 (P5(f15(f11(a1,f5(a1,a7)),f5(a1,a7),f17(a1,a7)),f17(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[101,1254,1257,1202,1218,1229,1212,1211,1183,1182,1157,1023,1129,1165,174,47,109,37,56,60,62,38,54,55,61,36,34,31,3,41])).
% 8.84/8.90 cnf(1273,plain,
% 8.84/8.90 (P5(f11(a6,f5(a1,a7)),f17(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[105,101,1254,1257,1202,1218,1229,1212,1211,1183,1182,1157,1023,1129,1165,496,174,47,109,37,56,60,62,38,54,55,61,36,34,31,3,41,40])).
% 8.84/8.90 cnf(1277,plain,
% 8.84/8.90 (~E(x12771,f18(x12771,f8(x12771)))),
% 8.84/8.90 inference(scs_inference,[],[105,101,1254,1257,1223,1202,1218,1229,1212,1211,1183,1131,1182,1157,1023,1129,1165,496,174,46,47,109,37,56,60,62,38,54,55,61,36,34,31,3,41,40,35,2])).
% 8.84/8.90 cnf(1284,plain,
% 8.84/8.90 (P2(f15(f11(a1,f17(a1,a7)),f5(a1,a7),f5(a1,a7)),f5(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[105,101,1254,1257,1223,1202,1218,1177,1154,1229,1212,1211,1183,1131,917,1182,914,1157,1023,1129,1165,172,496,174,46,47,109,37,56,60,62,38,54,55,61,36,34,31,3,41,40,35,2,33,87,59,58])).
% 8.84/8.90 cnf(1286,plain,
% 8.84/8.90 (P1(f14(f8(f17(a1,a7)),f5(a1,a7)),f17(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[105,101,1254,1257,1223,1202,1218,1177,1154,1229,1212,1211,1183,1131,917,1182,914,1157,1023,516,1129,1165,172,496,174,46,47,109,37,56,60,62,38,54,55,61,36,34,31,3,41,40,35,2,33,87,59,58,32])).
% 8.84/8.90 cnf(1301,plain,
% 8.84/8.90 (~P6(f11(a6,f5(a1,a7)),f17(f18(a6,a9),f3(a6,a9)),x13011)),
% 8.84/8.90 inference(scs_inference,[],[1204,174,37])).
% 8.84/8.90 cnf(1302,plain,
% 8.84/8.90 (E(f11(x13021,f5(a1,a7)),f11(x13021,f17(a1,a7)))),
% 8.84/8.90 inference(rename_variables,[],[174])).
% 8.84/8.90 cnf(1303,plain,
% 8.84/8.90 (~P4(f15(f11(a1,f5(a1,a7)),f5(a1,a7),f5(a1,a7)),f17(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[1231,1204,174,37,56])).
% 8.84/8.90 cnf(1305,plain,
% 8.84/8.90 (~E(f18(a6,a9),f17(f3(a6,a9),x13051))),
% 8.84/8.90 inference(scs_inference,[],[101,1231,1204,1171,174,37,56,62])).
% 8.84/8.90 cnf(1306,plain,
% 8.84/8.90 (P5(f8(x13061),x13061)),
% 8.84/8.90 inference(rename_variables,[],[101])).
% 8.84/8.90 cnf(1308,plain,
% 8.84/8.90 (~P1(f5(a1,a7),f5(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[101,1231,1204,1271,1171,221,174,37,56,62,32])).
% 8.84/8.90 cnf(1309,plain,
% 8.84/8.90 (~P1(f3(a6,a9),f18(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[101,1306,1231,1204,1271,1171,221,174,37,56,62,32,60])).
% 8.84/8.90 cnf(1310,plain,
% 8.84/8.90 (P5(f8(x13101),x13101)),
% 8.84/8.90 inference(rename_variables,[],[101])).
% 8.84/8.90 cnf(1317,plain,
% 8.84/8.90 (~E(f18(a6,a9),f17(x13171,f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[101,1306,1310,1231,1204,1222,1150,1271,1171,1183,221,174,37,56,62,32,60,38,54,55,61])).
% 8.84/8.90 cnf(1318,plain,
% 8.84/8.90 (P5(f8(x13181),x13181)),
% 8.84/8.90 inference(rename_variables,[],[101])).
% 8.84/8.90 cnf(1321,plain,
% 8.84/8.90 (~P4(f8(a6),f5(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[99,101,1306,1310,1231,1204,1268,1222,1150,1271,1171,1183,221,174,37,56,62,32,60,38,54,55,61,36,34])).
% 8.84/8.90 cnf(1323,plain,
% 8.84/8.90 (~P1(f5(f18(a6,a9),f3(a6,a9)),a1)),
% 8.84/8.90 inference(scs_inference,[],[99,101,1306,1310,1231,1204,1268,1222,1150,1271,1135,1171,1183,221,174,37,56,62,32,60,38,54,55,61,36,34,31])).
% 8.84/8.90 cnf(1325,plain,
% 8.84/8.90 (~P5(f11(a6,f17(a1,a7)),f5(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[99,103,101,1306,1310,1231,1204,1268,1222,849,1150,1271,1135,1171,1183,221,174,37,56,62,32,60,38,54,55,61,36,34,31,3,41])).
% 8.84/8.90 cnf(1328,plain,
% 8.84/8.90 (P2(f15(f11(a1,f17(a1,a7)),f5(a1,a7),f17(a1,a7)),f5(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[99,103,101,1306,1310,1318,1231,1284,1204,1268,1222,849,1150,1271,1238,1135,1171,1183,171,221,174,37,56,62,32,60,38,54,55,61,36,34,31,3,41,40,35])).
% 8.84/8.90 cnf(1330,plain,
% 8.84/8.90 (E(a6,f5(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[99,103,101,1306,1310,1318,1231,1284,1204,1268,1222,849,1150,1271,1238,1135,1171,1183,171,221,174,37,56,62,32,60,38,54,55,61,36,34,31,3,41,40,35,2])).
% 8.84/8.90 cnf(1331,plain,
% 8.84/8.90 (~P4(f11(a6,f5(a1,a7)),f5(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[99,103,101,1306,1310,1318,1231,1284,1204,1268,1269,1222,849,1150,1271,1238,1135,1171,1183,171,221,174,1302,37,56,62,32,60,38,54,55,61,36,34,31,3,41,40,35,2,33])).
% 8.84/8.90 cnf(1347,plain,
% 8.84/8.90 (P5(f15(f11(a6,f5(a1,a7)),f17(a1,a7),f17(a1,a7)),f17(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[1273,958,85])).
% 8.84/8.90 cnf(1350,plain,
% 8.84/8.90 (~P2(f10(a7),a7)),
% 8.84/8.90 inference(scs_inference,[],[1273,958,328,85,56])).
% 8.84/8.90 cnf(1352,plain,
% 8.84/8.90 (~P5(f11(a6,f17(a1,a7)),f14(a9,a6))),
% 8.84/8.90 inference(scs_inference,[],[103,1273,958,328,1065,85,56,60])).
% 8.84/8.90 cnf(1354,plain,
% 8.84/8.90 (~P5(f11(a6,f17(a1,a7)),f18(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[103,1325,1273,958,328,1065,1183,85,56,60,62])).
% 8.84/8.90 cnf(1356,plain,
% 8.84/8.90 (~P1(f17(a1,a7),f5(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[103,1325,1273,1182,958,328,1065,1183,85,56,60,62,32])).
% 8.84/8.90 cnf(1360,plain,
% 8.84/8.90 (~P5(f11(a6,f17(a1,a7)),f3(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[103,1325,1301,1273,1150,1182,958,328,1065,1183,85,56,60,62,32,55,38,61])).
% 8.84/8.90 cnf(1362,plain,
% 8.84/8.90 (P2(f15(f11(a1,f17(a1,a7)),f5(a1,a7),f17(a1,a7)),f17(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[103,109,1325,1301,1328,1273,1150,1182,958,328,1065,1183,85,56,60,62,32,55,38,61,36])).
% 8.84/8.90 cnf(1370,plain,
% 8.84/8.90 (E(f15(x13701,f5(a1,a7),x13702),f15(x13701,f17(a1,a7),x13702))),
% 8.84/8.90 inference(rename_variables,[],[172])).
% 8.84/8.90 cnf(1371,plain,
% 8.84/8.90 (P2(f15(f11(a1,f17(a1,a7)),f17(a1,a7),f17(a1,a7)),f5(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[105,103,109,1317,1325,1301,1328,1321,1323,1272,1273,1150,1182,958,734,328,1065,172,1370,1183,458,85,56,60,62,32,55,38,61,36,34,31,3,41,40,35])).
% 8.84/8.90 cnf(1379,plain,
% 8.84/8.90 (P4(f2(a1,f16(a1)),a1)),
% 8.84/8.90 inference(scs_inference,[],[105,103,109,1305,1317,1325,1301,1328,760,1321,1323,682,1272,1273,1150,945,1182,958,734,988,328,762,1065,172,1370,1183,458,85,56,60,62,32,55,38,61,36,34,31,3,41,40,35,2,33,64,57,63])).
% 8.84/8.90 cnf(1381,plain,
% 8.84/8.90 (P4(a9,f18(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[105,103,109,1305,1317,1325,1301,1328,760,1321,1323,682,1272,1273,1167,1169,1150,1159,945,1182,958,734,988,328,762,1065,172,1370,1183,458,85,56,60,62,32,55,38,61,36,34,31,3,41,40,35,2,33,64,57,63,82])).
% 8.84/8.90 cnf(1383,plain,
% 8.84/8.90 (P5(f11(a1,f17(a1,a7)),a7)),
% 8.84/8.90 inference(scs_inference,[],[105,103,109,1305,1317,1325,1301,1328,760,1321,1323,682,1272,1273,1167,1169,1150,1159,945,1182,958,887,652,734,988,328,762,1065,172,1370,1183,458,85,56,60,62,32,55,38,61,36,34,31,3,41,40,35,2,33,64,57,63,82,65])).
% 8.84/8.90 cnf(1385,plain,
% 8.84/8.90 (P5(f2(a1,f16(a1)),a1)),
% 8.84/8.90 inference(scs_inference,[],[105,103,109,1305,1317,1325,1301,1328,760,1321,1323,682,1272,1273,1167,1169,1150,1159,945,1182,958,887,652,734,988,328,762,1065,172,1370,1183,458,85,56,60,62,32,55,38,61,36,34,31,3,41,40,35,2,33,64,57,63,82,65,54])).
% 8.84/8.90 cnf(1401,plain,
% 8.84/8.90 (~P4(f15(f8(x14011),x14011,x14011),x14011)),
% 8.84/8.90 inference(scs_inference,[],[101,958,90])).
% 8.84/8.90 cnf(1403,plain,
% 8.84/8.90 (P5(f8(x14031),x14031)),
% 8.84/8.90 inference(rename_variables,[],[101])).
% 8.84/8.90 cnf(1412,plain,
% 8.84/8.90 (~P4(f15(f11(a1,f17(a1,a7)),f5(a1,a7),f17(a1,a7)),f17(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[101,1354,1362,896,958,174,90,73,74,37,56])).
% 8.84/8.90 cnf(1414,plain,
% 8.84/8.90 (P5(f8(a1),f5(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[101,1403,109,1354,1362,896,958,174,90,73,74,37,56,62])).
% 8.84/8.90 cnf(1415,plain,
% 8.84/8.90 (P5(f8(x14151),x14151)),
% 8.84/8.90 inference(rename_variables,[],[101])).
% 8.84/8.90 cnf(1417,plain,
% 8.84/8.90 (P5(f8(a1),a6)),
% 8.84/8.90 inference(scs_inference,[],[101,1403,1415,109,1354,1362,896,958,44,174,90,73,74,37,56,62,60])).
% 8.84/8.90 cnf(1418,plain,
% 8.84/8.90 (P5(f8(x14181),x14181)),
% 8.84/8.90 inference(rename_variables,[],[101])).
% 8.84/8.90 cnf(1420,plain,
% 8.84/8.90 (P1(f14(a9,a6),f5(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[101,1403,1415,109,1354,1362,1330,896,958,1065,44,174,90,73,74,37,56,62,60,32])).
% 8.84/8.90 cnf(1421,plain,
% 8.84/8.90 (P5(f15(f11(a1,f17(a1,a7)),f5(a1,a7),f17(a1,a7)),f17(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[101,1403,1415,109,1354,1362,1330,896,958,1065,44,174,90,73,74,37,56,62,60,32,55])).
% 8.84/8.90 cnf(1423,plain,
% 8.84/8.90 (~P4(f11(a6,f17(a1,a7)),f18(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[101,1403,1415,109,1354,1362,1330,896,958,1065,44,174,90,73,74,37,56,62,60,32,55,54])).
% 8.84/8.90 cnf(1426,plain,
% 8.84/8.90 (P5(f8(x14261),x14261)),
% 8.84/8.90 inference(rename_variables,[],[101])).
% 8.84/8.90 cnf(1428,plain,
% 8.84/8.90 (P2(f15(f11(a1,f17(a1,a7)),f17(a1,a7),f17(a1,a7)),f17(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[101,1403,1415,1418,109,1354,1362,1371,1330,896,958,1065,44,174,90,73,74,37,56,62,60,32,55,54,61,36])).
% 8.84/8.90 cnf(1437,plain,
% 8.84/8.90 (E(f15(x14371,x14372,f17(a1,a7)),f15(x14371,x14372,f5(a1,a7)))),
% 8.84/8.90 inference(rename_variables,[],[508])).
% 8.84/8.90 cnf(1440,plain,
% 8.84/8.90 (E(f13(x14401,f17(a1,a7),f17(a1,a7)),f13(x14401,f5(a1,a7),f5(a1,a7)))),
% 8.84/8.90 inference(scs_inference,[],[101,1403,1415,1418,109,1309,1354,1347,1362,1371,1206,1350,163,1330,162,896,282,958,508,1065,198,44,174,46,209,90,73,74,37,56,62,60,32,55,54,61,36,34,31,3,41,40,35,2])).
% 8.84/8.90 cnf(1445,plain,
% 8.84/8.90 (P7(f18(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[101,1403,1415,1418,109,1309,1303,1354,1347,1362,1371,1206,1381,1350,163,1330,162,896,282,958,508,1437,1065,198,44,174,46,209,90,73,74,37,56,62,60,32,55,54,61,36,34,31,3,41,40,35,2,33,53,50])).
% 8.84/8.90 cnf(1447,plain,
% 8.84/8.90 (~P5(f11(f18(a6,a9),f3(a6,a9)),f18(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[101,1403,1415,1418,109,1309,1303,1354,1347,1362,1371,1206,1381,1350,163,1330,162,896,282,958,508,1437,1065,198,44,174,46,209,90,73,74,37,56,62,60,32,55,54,61,36,34,31,3,41,40,35,2,33,53,50,70])).
% 8.84/8.90 cnf(1451,plain,
% 8.84/8.90 (~P6(x14511,f18(a6,a9),f5(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[101,1403,1415,1418,1426,109,1286,1309,1303,1354,1347,1362,1371,1206,1381,1350,163,1330,1256,162,896,282,958,508,1437,1065,198,44,174,46,99,209,90,73,74,37,56,62,60,32,55,54,61,36,34,31,3,41,40,35,2,33,53,50,70,52,82])).
% 8.84/8.90 cnf(1457,plain,
% 8.84/8.90 (P4(f10(f18(a6,a9)),f18(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[101,1403,1415,1418,1426,109,1286,1309,1303,1354,1347,1362,1371,1206,1381,1350,695,163,1330,1256,162,896,282,958,508,1437,1065,198,44,174,46,99,209,90,73,74,37,56,62,60,32,55,54,61,36,34,31,3,41,40,35,2,33,53,50,70,52,82,38,1244,49])).
% 8.84/8.90 cnf(1475,plain,
% 8.84/8.90 (P4(f16(f18(a6,a9)),f18(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[1445,51])).
% 8.84/8.90 cnf(1479,plain,
% 8.84/8.90 (~P2(f10(f18(a6,a9)),f18(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[1457,1445,1086,218,214,51,82,56])).
% 8.84/8.90 cnf(1485,plain,
% 8.84/8.90 (~P1(f5(a1,a7),a7)),
% 8.84/8.90 inference(scs_inference,[],[1457,1445,1451,1414,1086,1159,218,214,205,51,82,56,39,62,60])).
% 8.84/8.90 cnf(1493,plain,
% 8.84/8.90 (~P4(f15(f8(a6),a6,a6),f17(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[1401,1457,1447,1445,1451,1414,1086,1159,1157,218,214,205,51,82,56,39,62,60,55,54,61,34])).
% 8.84/8.90 cnf(1499,plain,
% 8.84/8.90 (~P5(f11(a6,f5(a1,a7)),f3(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[109,1401,1457,1447,1445,1451,1360,835,880,1414,1086,1159,1157,218,214,205,512,174,51,82,56,39,62,60,55,54,61,34,3,41,40])).
% 8.84/8.90 cnf(1501,plain,
% 8.84/8.90 (P2(f15(f8(f17(a1,a7)),f17(a1,a7),f17(a1,a7)),f5(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[109,1401,1457,1447,1445,1451,1360,835,880,1414,1086,882,1159,1157,218,171,214,205,512,174,51,82,56,39,62,60,55,54,61,34,3,41,40,35])).
% 8.84/8.90 cnf(1507,plain,
% 8.84/8.90 (P5(f11(f5(f18(a6,a9),f3(a6,a9)),f17(a1,a7)),f17(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[109,1401,1457,1447,1445,1214,1356,1451,1423,1360,835,880,1379,1414,1086,882,1159,1157,218,171,214,205,512,174,47,51,82,56,39,62,60,55,54,61,34,3,41,40,35,33,2,83,59])).
% 8.84/8.90 cnf(1513,plain,
% 8.84/8.90 (~E(f17(a1,a7),f18(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[109,1401,1457,1447,1445,1214,1356,1451,1423,1360,835,880,1379,1414,1086,882,1159,1157,218,171,214,205,512,174,99,47,101,51,82,56,39,62,60,55,54,61,34,3,41,40,35,33,2,83,59,81,5])).
% 8.84/8.90 cnf(1525,plain,
% 8.84/8.90 (~P5(f15(f8(f3(a6,a9)),f3(a6,a9),f3(a6,a9)),f18(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[1197,1401,1159,81])).
% 8.84/8.90 cnf(1529,plain,
% 8.84/8.90 (~E(f17(a1,a7),f17(f3(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[1499,1197,1401,1273,1159,81,65])).
% 8.84/8.90 cnf(1534,plain,
% 8.84/8.90 (~E(f3(a6,a9),f17(f17(a1,a7),x15341))),
% 8.84/8.90 inference(scs_inference,[],[1499,1428,1249,1197,1401,1273,1159,1183,81,65,56,39,62])).
% 8.84/8.90 cnf(1536,plain,
% 8.84/8.90 (~P5(f11(a6,f5(a1,a7)),f14(a9,a6))),
% 8.84/8.90 inference(scs_inference,[],[1499,1428,1249,1197,1401,1273,1159,1065,230,1183,81,65,56,39,62,60])).
% 8.84/8.90 cnf(1541,plain,
% 8.84/8.90 (~P4(f11(a6,f5(a1,a7)),f3(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[1499,1501,1428,1249,1197,1401,1273,1159,1051,1065,1129,230,1183,81,65,56,39,62,60,32,55,54])).
% 8.84/8.90 cnf(1543,plain,
% 8.84/8.90 (~E(f3(a6,a9),f17(x15431,f17(a1,a7)))),
% 8.84/8.90 inference(scs_inference,[],[1499,1501,1428,1249,1197,1401,1273,1159,1051,1065,1129,230,1183,81,65,56,39,62,60,32,55,54,61])).
% 8.84/8.90 cnf(1546,plain,
% 8.84/8.90 (~E(f5(a1,a7),f18(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[1513,1499,1501,1428,1249,1197,1401,1273,1381,1159,1021,1051,1065,1129,230,1183,209,81,65,56,39,62,60,32,55,54,61,34,3])).
% 8.84/8.90 cnf(1547,plain,
% 8.84/8.90 (P5(f8(f5(a1,a7)),f17(x15471,f5(a1,a7)))),
% 8.84/8.90 inference(scs_inference,[],[1513,1499,1501,1428,1249,515,1093,1197,1401,1273,1381,1159,1021,1051,1065,1129,230,1183,209,81,65,56,39,62,60,32,55,54,61,34,3,40])).
% 8.84/8.90 cnf(1572,plain,
% 8.84/8.90 (~P6(x15721,f17(x15722,f5(a1,a7)),f5(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[1093,113,368,81])).
% 8.84/8.90 cnf(1576,plain,
% 8.84/8.90 (P5(f2(a1,f16(a1)),f5(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[109,1475,1385,1093,113,368,81,56,62])).
% 8.84/8.90 cnf(1580,plain,
% 8.84/8.90 (~P2(f11(a6,f5(a1,a7)),f14(a9,a6))),
% 8.84/8.90 inference(scs_inference,[],[109,1475,1536,1385,1383,1093,113,368,45,81,56,62,60,55])).
% 8.84/8.90 cnf(1582,plain,
% 8.84/8.90 (P1(f14(f8(a6),a6),f5(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[109,1475,1536,1385,1383,1093,1330,113,368,224,45,81,56,62,60,55,32])).
% 8.84/8.90 cnf(1584,plain,
% 8.84/8.90 (P5(f16(f18(a6,a9)),f18(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[109,1475,1536,1385,1383,1093,1330,113,368,224,45,81,56,62,60,55,32,54])).
% 8.84/8.90 cnf(1586,plain,
% 8.84/8.90 (P5(f11(a6,f17(a1,a7)),f17(x15861,f5(a1,a7)))),
% 8.84/8.90 inference(scs_inference,[],[105,109,1475,1536,1385,1383,1093,1330,113,368,180,224,45,81,56,62,60,55,32,54,61])).
% 8.84/8.90 cnf(1588,plain,
% 8.84/8.90 (P2(a9,f5(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[105,109,1475,1536,1385,1383,1133,1093,1330,113,368,180,224,45,81,56,62,60,55,32,54,61,36])).
% 8.84/8.90 cnf(1590,plain,
% 8.84/8.90 (~P1(f17(a1,a7),a7)),
% 8.84/8.90 inference(scs_inference,[],[105,109,1475,1536,1485,1493,1385,1383,1133,1093,1330,113,368,180,224,45,1183,209,81,56,62,60,55,32,54,61,36,34,31])).
% 8.84/8.90 cnf(1591,plain,
% 8.84/8.90 (E(f13(f17(a1,a7),f17(a1,a7),f17(a1,a7)),f13(f5(a1,a7),f17(a1,a7),f5(a1,a7)))),
% 8.84/8.90 inference(scs_inference,[],[105,109,1475,1440,1536,1485,1493,1385,1383,1133,710,1093,1330,113,368,180,224,45,1183,209,81,56,62,60,55,32,54,61,36,34,31,3])).
% 8.84/8.90 cnf(1598,plain,
% 8.84/8.90 (~E(f17(f3(a6,a9),f3(a6,a9)),f17(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[105,109,1529,1475,1479,1440,1507,1536,1485,1493,1385,1383,1133,710,1093,1330,113,368,496,180,224,45,1183,46,209,81,56,62,60,55,32,54,61,36,34,31,3,40,41,35,2])).
% 8.84/8.90 cnf(1599,plain,
% 8.84/8.90 (~P4(f15(f11(a1,f17(a1,a7)),f5(a1,a7),f5(a1,a7)),f17(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[105,109,1529,1475,1479,1440,1507,1536,1412,1485,1493,1385,1383,1133,710,1093,1330,113,368,171,496,180,224,45,1183,46,209,81,56,62,60,55,32,54,61,36,34,31,3,40,41,35,2,33])).
% 8.84/8.90 cnf(1605,plain,
% 8.84/8.90 (P4(f2(f18(a6,a9),a9),f18(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[105,109,1529,1475,1479,1440,1507,1536,1412,1485,1493,1385,1383,1133,710,1093,1330,1381,113,1159,368,171,496,180,224,45,1183,46,209,81,56,62,60,55,32,54,61,36,34,31,3,40,41,35,2,33,57,83,63])).
% 8.84/8.90 cnf(1607,plain,
% 8.84/8.90 (P2(f15(f8(x16071),x16071,x16071),x16071)),
% 8.84/8.90 inference(scs_inference,[],[105,109,1529,1475,1479,1440,1507,1536,1412,1485,1493,1385,1383,1133,710,1093,1330,1197,1401,1381,113,1159,368,171,496,180,224,45,1183,46,209,81,56,62,60,55,32,54,61,36,34,31,3,40,41,35,2,33,57,83,63,58])).
% 8.84/8.90 cnf(1613,plain,
% 8.84/8.90 (P5(f15(f8(a1),a6,a1),a1)),
% 8.84/8.90 inference(scs_inference,[],[105,109,1277,1529,1475,1479,1440,1507,1536,1412,1485,1493,1417,1385,1383,1133,710,1093,1330,1197,1401,1044,1381,113,1159,368,171,496,180,224,45,1183,46,101,209,81,56,62,60,55,32,54,61,36,34,31,3,40,41,35,2,33,57,83,63,58,571,52,84])).
% 8.84/8.90 cnf(1627,plain,
% 8.84/8.90 (~P4(a9,f5(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[1584,1547,1588,958,99,101,84,82,56])).
% 8.84/8.90 cnf(1629,plain,
% 8.84/8.90 (~P6(x16291,f17(x16292,f5(a1,a7)),f17(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[1584,1572,1547,1588,958,99,101,209,84,82,56,39])).
% 8.84/8.90 cnf(1632,plain,
% 8.84/8.90 (~P1(f17(a1,a7),f14(a9,a6))),
% 8.84/8.90 inference(scs_inference,[],[105,1584,1572,1547,1352,1588,958,99,101,209,84,82,56,39,62,60])).
% 8.84/8.90 cnf(1634,plain,
% 8.84/8.90 (P5(a9,f5(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[105,1584,1572,1547,1352,1588,958,99,101,209,84,82,56,39,62,60,55])).
% 8.84/8.90 cnf(1644,plain,
% 8.84/8.90 (~E(f16(f18(a6,a9)),f11(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[105,109,1598,1584,1572,1582,1547,1352,1588,1447,1485,244,374,958,99,101,209,84,82,56,39,62,60,55,32,54,61,31,3,40])).
% 8.84/8.90 cnf(1645,plain,
% 8.84/8.90 (~P5(f11(a6,f5(a1,a7)),f17(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[105,109,1598,1584,1572,1582,1547,1352,1588,1447,1485,244,1157,374,958,230,99,101,209,84,82,56,39,62,60,55,32,54,61,31,3,40,41])).
% 8.84/8.90 cnf(1646,plain,
% 8.84/8.90 (P2(f15(f11(a1,f17(a1,a7)),f17(a1,a7),f5(a1,a7)),f5(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[105,109,1598,1584,1572,1582,1547,1352,1588,1447,1284,1485,244,1157,374,172,958,230,99,101,209,84,82,56,39,62,60,55,32,54,61,31,3,40,41,35])).
% 8.84/8.90 cnf(1648,plain,
% 8.84/8.90 (E(f13(f5(a1,a7),f17(a1,a7),f5(a1,a7)),f13(f17(a1,a7),f17(a1,a7),f17(a1,a7)))),
% 8.84/8.90 inference(scs_inference,[],[105,109,1598,1584,1572,1582,1591,1547,1352,1588,1447,1284,1485,244,1157,374,172,958,230,99,101,209,84,82,56,39,62,60,55,32,54,61,31,3,40,41,35,2])).
% 8.84/8.90 cnf(1649,plain,
% 8.84/8.90 (~P4(f11(a6,f17(a1,a7)),f3(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[105,109,1598,1584,1572,1582,1541,1591,1547,1352,1588,1447,1284,1485,244,1157,374,172,958,496,230,99,101,209,84,82,56,39,62,60,55,32,54,61,31,3,40,41,35,2,33])).
% 8.84/8.90 cnf(1651,plain,
% 8.84/8.90 (~P5(f11(a7,f17(a1,a7)),a7)),
% 8.84/8.90 inference(scs_inference,[],[105,109,1598,1584,1572,1582,1541,1591,1547,1352,1588,1590,1447,1284,1485,244,1157,374,172,958,496,230,99,101,209,84,82,56,39,62,60,55,32,54,61,31,3,40,41,35,2,33,70])).
% 8.84/8.90 cnf(1655,plain,
% 8.84/8.90 (~P6(f11(a6,f17(a1,a7)),x16551,f14(a9,a6))),
% 8.84/8.90 inference(scs_inference,[],[105,109,1598,1584,1572,1582,1541,1591,1547,1352,1605,1588,1590,1447,1284,1485,244,1157,374,172,958,1159,496,230,1183,99,101,209,84,82,56,39,62,60,55,32,54,61,31,3,40,41,35,2,33,70,83,73])).
% 8.84/8.90 cnf(1661,plain,
% 8.84/8.90 (P4(a9,f3(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[105,109,1598,1584,1572,1582,1541,1591,1547,1352,1605,1588,1590,1447,1284,1194,1485,1167,1169,244,1157,374,172,958,1159,496,337,230,1183,99,101,209,84,82,56,39,62,60,55,32,54,61,31,3,40,41,35,2,33,70,83,73,74,34,81])).
% 8.84/8.90 cnf(1672,plain,
% 8.84/8.90 (~P2(a9,f3(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[113,1661,929,368,82,56])).
% 8.84/8.90 cnf(1676,plain,
% 8.84/8.90 (~P6(x16761,f17(x16762,f17(a1,a7)),f17(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[113,1629,1645,1661,929,751,368,512,82,56,62,38])).
% 8.84/8.90 cnf(1678,plain,
% 8.84/8.90 (~P2(f11(a6,f5(a1,a7)),f17(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[113,1629,1645,1661,929,751,368,512,82,56,62,38,55])).
% 8.84/8.90 cnf(1681,plain,
% 8.84/8.90 (P5(f2(f18(a6,a9),a9),f18(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[113,1629,1645,1661,1420,929,1605,751,1054,368,512,82,56,62,38,55,32,54])).
% 8.84/8.90 cnf(1683,plain,
% 8.84/8.90 (~E(f17(f18(a6,a9),f3(a6,a9)),f17(x16831,a7))),
% 8.84/8.90 inference(scs_inference,[],[113,1629,1645,1661,1420,929,1605,751,1054,368,512,82,56,62,38,55,32,54,61])).
% 8.84/8.90 cnf(1690,plain,
% 8.84/8.90 (P5(f8(f17(a1,a7)),f17(f17(a1,a7),x16901))),
% 8.84/8.90 inference(scs_inference,[],[113,1543,1629,1645,1661,1074,182,1308,1420,1086,929,1605,751,1054,368,180,512,209,82,56,62,38,55,32,54,61,34,31,3,41,40])).
% 8.84/8.90 cnf(1693,plain,
% 8.84/8.90 (~E(f17(f17(a1,a7),x16931),f3(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[113,1534,1543,1629,1645,1661,1580,1074,182,1308,1420,1086,929,1605,751,1054,368,496,180,512,209,82,56,62,38,55,32,54,61,34,31,3,41,40,35,2])).
% 8.84/8.90 cnf(1696,plain,
% 8.84/8.90 (P5(f11(f14(a9,a6),f17(a1,a7)),f17(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[113,1534,1543,1629,1632,1645,1661,1580,1074,182,1308,1420,1086,929,1423,1475,1605,751,1054,368,496,180,512,209,82,56,62,38,55,32,54,61,34,31,3,41,40,35,2,33,5,59])).
% 8.84/8.90 cnf(1700,plain,
% 8.84/8.90 (~P6(x17001,f5(f18(a6,a9),f3(a6,a9)),f3(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[113,1534,1543,1629,1632,1645,1661,1580,1074,477,1265,182,1308,1420,1086,929,1423,1475,1605,751,1054,368,496,180,512,99,101,209,82,56,62,38,55,32,54,61,34,31,3,41,40,35,2,33,5,59,52,81])).
% 8.84/8.90 cnf(1705,plain,
% 8.84/8.90 (~P3(f3(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[113,1534,1543,1629,1632,1645,1661,1580,1074,477,1265,182,1308,1202,1420,1086,929,1423,1475,1605,751,1054,368,496,180,512,1183,99,101,209,82,56,62,38,55,32,54,61,34,31,3,41,40,35,2,33,5,59,52,81,39,53])).
% 8.84/8.90 cnf(1707,plain,
% 8.84/8.90 (P7(f3(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[113,1534,1543,1629,1632,1645,1661,1580,1074,477,1265,182,1308,1202,1420,1086,929,1423,1475,1605,751,1054,368,496,180,512,1183,99,101,209,82,56,62,38,55,32,54,61,34,31,3,41,40,35,2,33,5,59,52,81,39,53,50])).
% 8.84/8.90 cnf(1718,plain,
% 8.84/8.90 (P4(f16(f3(a6,a9)),f3(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[1707,51])).
% 8.84/8.90 cnf(1720,plain,
% 8.84/8.90 (~P5(f15(f8(a7),a7,a7),a1)),
% 8.84/8.90 inference(scs_inference,[],[1707,1197,1401,47,51,81])).
% 8.84/8.90 cnf(1726,plain,
% 8.84/8.90 (P5(f15(f8(a1),a6,a1),f5(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[109,1707,1613,893,1197,1401,47,51,81,56,62])).
% 8.84/8.90 cnf(1730,plain,
% 8.84/8.90 (P1(f12(f8(a6),a6),f5(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[109,1707,1646,1613,893,1197,1401,1330,198,47,51,81,56,62,55,32])).
% 8.84/8.90 cnf(1734,plain,
% 8.84/8.90 (P5(f11(f14(a9,a6),f17(a1,a7)),f17(x17341,f5(a1,a7)))),
% 8.84/8.90 inference(scs_inference,[],[109,1707,1696,1525,1646,1613,893,1197,1401,1330,198,180,47,51,81,56,62,55,32,54,61])).
% 8.84/8.90 cnf(1737,plain,
% 8.84/8.90 (E(f13(f5(a1,a7),f5(a1,a7),f5(a1,a7)),f13(f17(a1,a7),f17(a1,a7),f17(a1,a7)))),
% 8.84/8.90 inference(scs_inference,[],[109,1707,1696,1678,1525,1646,1648,1613,893,169,1197,1401,1330,198,180,1183,47,51,81,56,62,55,32,54,61,36,3])).
% 8.84/8.90 cnf(1739,plain,
% 8.84/8.90 (P5(f11(f14(a9,a6),f17(a1,a7)),f5(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[109,1707,1696,1678,1525,1646,1648,1613,893,169,1197,1401,1330,198,180,1183,47,209,51,81,56,62,55,32,54,61,36,3,41])).
% 8.84/8.90 cnf(1740,plain,
% 8.84/8.90 (P5(f11(f14(a9,a6),f5(a1,a7)),f17(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[109,1707,1696,1678,1525,1646,1648,1613,893,169,1197,1401,1330,198,496,180,1183,47,209,51,81,56,62,55,32,54,61,36,3,41,40])).
% 8.84/8.90 cnf(1744,plain,
% 8.84/8.90 (E(a6,f17(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[109,1607,1707,1696,1678,1525,1646,1672,1648,1613,893,169,1197,1401,1330,1157,198,496,180,1183,47,209,51,81,56,62,55,32,54,61,36,3,41,40,35,2])).
% 8.84/8.90 cnf(1747,plain,
% 8.84/8.90 (P4(f10(f3(a6,a9)),f3(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[109,1607,1705,1707,1696,1599,1678,1525,1646,1672,1648,1613,893,169,1197,1401,1330,1157,509,198,496,180,1183,47,209,51,81,56,62,55,32,54,61,36,3,41,40,35,2,33,49])).
% 8.84/8.90 cnf(1749,plain,
% 8.84/8.90 (~P5(f11(a6,f5(a1,a7)),f5(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[109,1607,1705,1707,1696,1599,1678,1331,1525,1646,1672,1648,1613,893,169,1197,1401,1330,1157,509,198,496,180,1183,47,209,51,81,56,62,55,32,54,61,36,3,41,40,35,2,33,49,58])).
% 8.84/8.90 cnf(1772,plain,
% 8.84/8.90 (~P6(x17721,f17(f17(a1,a7),x17722),f5(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[113,1739,1690,1696,238,368,85,81])).
% 8.84/8.90 cnf(1776,plain,
% 8.84/8.90 (~P1(f5(a1,a7),f14(a9,a6))),
% 8.84/8.90 inference(scs_inference,[],[113,1718,1739,1690,1536,1696,238,440,368,85,81,56,60])).
% 8.84/8.90 cnf(1778,plain,
% 8.84/8.90 (P5(f11(f14(a9,a6),f5(a1,a7)),f17(f5(a1,a7),x17781))),
% 8.84/8.90 inference(scs_inference,[],[113,1718,1740,1739,1690,1536,1696,238,440,368,181,85,81,56,60,62])).
% 8.84/8.90 cnf(1782,plain,
% 8.84/8.90 (P5(f16(f3(a6,a9)),f3(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[113,1718,1740,1739,1720,1690,1536,1696,238,440,368,181,85,81,56,60,62,55,54])).
% 8.84/8.90 cnf(1796,plain,
% 8.84/8.90 (P2(f15(f11(a1,f17(a1,a7)),f17(a1,a7),f5(a1,a7)),f17(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[109,113,1718,1740,1734,1739,1730,1726,1683,1744,1720,1690,1261,1607,1536,1428,1696,238,440,246,508,368,181,180,85,81,56,60,62,55,54,61,32,36,3,41,40,35])).
% 8.84/8.90 cnf(1802,plain,
% 8.84/8.90 (P4(f2(f3(a6,a9),a9),f3(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[109,113,1718,1644,1740,1734,1739,1730,1726,1683,1744,1720,1690,1649,1261,1607,1536,1428,1696,238,440,1661,246,508,368,181,180,85,81,56,60,62,55,54,61,32,36,3,41,40,35,2,33,57,63])).
% 8.84/8.90 cnf(1824,plain,
% 8.84/8.90 (P5(f15(f16(f3(a6,a9)),f3(a6,a9),f3(a6,a9)),f3(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[1782,958,85])).
% 8.84/8.90 cnf(1830,plain,
% 8.84/8.90 (P5(f8(x18301),x18301)),
% 8.84/8.90 inference(rename_variables,[],[101])).
% 8.84/8.90 cnf(1831,plain,
% 8.84/8.90 (~P4(f8(x18311),x18311)),
% 8.84/8.90 inference(rename_variables,[],[99])).
% 8.84/8.90 cnf(1833,plain,
% 8.84/8.90 (~P6(x18331,a6,f14(a9,a6))),
% 8.84/8.90 inference(scs_inference,[],[1782,1655,1081,958,174,99,1831,101,1830,85,37,82,81])).
% 8.84/8.90 cnf(1850,plain,
% 8.84/8.90 (E(f17(x18501,f17(a1,a7)),f17(x18501,f5(a1,a7)))),
% 8.84/8.90 inference(rename_variables,[],[512])).
% 8.84/8.90 cnf(1852,plain,
% 8.84/8.90 (~E(f17(f17(a1,a7),x18521),f3(a6,a9))),
% 8.84/8.90 inference(rename_variables,[],[1693])).
% 8.84/8.90 cnf(1865,plain,
% 8.84/8.90 (P5(f11(f14(a9,a6),f5(a1,a7)),f5(a1,a7))),
% 8.84/8.90 inference(scs_inference,[],[1782,1747,1693,1772,1778,1749,1796,1700,1655,1634,1576,1586,1421,1081,1737,1651,1672,1360,1649,1133,1536,1167,440,172,958,509,500,174,512,1850,1183,99,1831,101,1830,209,85,37,82,81,39,60,62,55,61,54,36,31,3,41,40,35,2,33,69,84,65])).
% 8.84/8.90 cnf(1871,plain,
% 8.84/8.90 (~P5(f11(f14(a9,a6),f5(a1,a7)),f14(a9,a6))),
% 8.84/8.90 inference(scs_inference,[],[1782,1747,1693,1772,1776,1778,1749,1796,1700,1655,1634,1576,1586,1421,1081,1737,1651,1672,1360,1649,1133,1536,1194,1167,440,172,958,458,509,500,174,512,1850,1183,99,1831,101,1830,209,85,37,82,81,39,60,62,55,61,54,36,31,3,41,40,35,2,33,69,84,65,34,70])).
% 8.84/8.90 cnf(1883,plain,
% 8.84/8.90 (~P6(f15(f8(f3(a6,a9)),f3(a6,a9),f3(a6,a9)),f18(a6,a9),x18831)),
% 8.84/8.90 inference(scs_inference,[],[115,1782,1747,1693,1852,1772,1776,1778,1546,1749,1796,1700,1655,1634,1576,1586,1421,1081,1737,1525,1651,1672,1360,1649,1133,1536,1194,1167,440,172,958,458,509,500,174,512,1850,1183,99,1831,101,1830,209,85,37,82,81,39,60,62,55,61,54,36,31,3,41,40,35,2,33,69,84,65,34,70,64,83,73,52,74])).
% 8.84/8.90 cnf(1893,plain,
% 8.84/8.90 (P5(f8(x18931),x18931)),
% 8.84/8.90 inference(rename_variables,[],[101])).
% 8.84/8.90 cnf(1903,plain,
% 8.84/8.90 (~P5(f11(a6,f5(a1,a7)),f12(a9,a6))),
% 8.84/8.90 inference(scs_inference,[],[113,1871,1865,1883,1833,1253,1690,1081,368,1129,230,99,101,1893,1244,85,65,82,81,60])).
% 8.84/8.90 cnf(1913,plain,
% 8.84/8.90 (P1(a1,f17(f18(a6,a9),f3(a6,a9)))),
% 8.84/8.90 inference(scs_inference,[],[113,1824,1871,1865,1883,1802,1833,1681,1253,1690,1744,1081,44,368,1129,230,99,101,1893,1244,85,65,82,81,60,62,55,61,54,32])).
% 8.84/8.90 cnf(2005,plain,
% 8.84/8.90 (P5(f10(f3(a6,a9)),f3(a6,a9))),
% 8.84/8.90 inference(scs_inference,[],[1903,1142,1913,1747,440,56,60,62,55,54])).
% 8.84/8.90 cnf(2037,plain,
% 8.84/8.90 ($false),
% 8.84/8.90 inference(scs_inference,[],[2005,1139,1676,1627,1634,751,958,45,230,109,90,81,39,60]),
% 8.84/8.90 ['proof']).
% 8.84/8.90 % SZS output end Proof
% 8.84/8.90 % Total time :8.210000s
%------------------------------------------------------------------------------