TSTP Solution File: NUN082+2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUN082+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 12:45:27 EDT 2023
% Result : Theorem 8.63s 8.74s
% Output : CNFRefutation 8.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN082+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 09:18:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.53 start to proof:theBenchmark
% 8.63/8.73 %-------------------------------------------
% 8.63/8.73 % File :CSE---1.6
% 8.63/8.73 % Problem :theBenchmark
% 8.63/8.73 % Transform :cnf
% 8.63/8.73 % Format :tptp:raw
% 8.63/8.73 % Command :java -jar mcs_scs.jar %d %s
% 8.63/8.73
% 8.63/8.73 % Result :Theorem 8.150000s
% 8.63/8.73 % Output :CNFRefutation 8.150000s
% 8.63/8.73 %-------------------------------------------
% 8.63/8.74 %------------------------------------------------------------------------------
% 8.63/8.74 % File : NUN082+2 : TPTP v8.1.2. Released v7.3.0.
% 8.63/8.74 % Domain : Number Theory
% 8.63/8.74 % Problem : Robinson arithmetic: There exists X * 1 = zero
% 8.63/8.74 % Version : Especial.
% 8.63/8.74 % English :
% 8.63/8.74
% 8.63/8.74 % Refs : [BBJ03] Boolos et al. (2003), Computability and Logic
% 8.63/8.74 % : [Smi07] Smith (2007), An Introduction to Goedel's Theorems
% 8.63/8.74 % : [Lam18] Lampert (2018), Email to Geoff Sutcliffe
% 8.63/8.74 % Source : [Lam18]
% 8.63/8.74 % Names : xtimesoneeqzero [Lam18]
% 8.63/8.74
% 8.63/8.74 % Status : Theorem
% 8.63/8.74 % Rating : 0.28 v7.5.0, 0.31 v7.4.0, 0.20 v7.3.0
% 8.63/8.74 % Syntax : Number of formulae : 12 ( 0 unt; 0 def)
% 8.63/8.74 % Number of atoms : 49 ( 18 equ)
% 8.63/8.74 % Maximal formula atoms : 5 ( 4 avg)
% 8.63/8.74 % Number of connectives : 51 ( 14 ~; 10 |; 27 &)
% 8.63/8.74 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 8.63/8.74 % Maximal formula depth : 9 ( 7 avg)
% 8.63/8.74 % Maximal term depth : 1 ( 1 avg)
% 8.63/8.74 % Number of predicates : 5 ( 4 usr; 0 prp; 1-3 aty)
% 8.63/8.74 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 8.63/8.74 % Number of variables : 48 ( 23 !; 25 ?)
% 8.63/8.74 % SPC : FOF_THM_RFO_SEQ
% 8.63/8.74
% 8.63/8.74 % Comments : Translated to FOL with equality.
% 8.63/8.74 %------------------------------------------------------------------------------
% 8.63/8.74 include('Axioms/NUM008+0.ax').
% 8.63/8.74 %------------------------------------------------------------------------------
% 8.63/8.74 fof(xtimesoneeqzero,conjecture,
% 8.63/8.74 ? [Y1,Y2] :
% 8.63/8.74 ( ? [Y3] :
% 8.63/8.74 ( r4(Y1,Y3,Y2)
% 8.63/8.74 & ? [Y4] :
% 8.63/8.74 ( r1(Y4)
% 8.63/8.74 & r2(Y4,Y3) ) )
% 8.63/8.74 & ? [Y5] :
% 8.63/8.74 ( r1(Y5)
% 8.63/8.74 & Y2 = Y5 ) ) ).
% 8.63/8.74
% 8.63/8.74 %------------------------------------------------------------------------------
% 8.63/8.74 %-------------------------------------------
% 8.63/8.74 % Proof found
% 8.63/8.74 % SZS status Theorem for theBenchmark
% 8.63/8.74 % SZS output start Proof
% 8.63/8.74 %ClaNum:63(EqnAxiom:35)
% 8.63/8.74 %VarNum:114(SingletonVarNum:55)
% 8.63/8.74 %MaxLitNum:5
% 8.63/8.74 %MaxfuncDepth:1
% 8.63/8.74 %SharedTerms:1
% 8.63/8.74 %goalClause: 63
% 8.63/8.74 [36]P1(f1(x361))
% 8.63/8.74 [37]P1(f4(x371))
% 8.63/8.74 [38]P1(f5(x381))
% 8.63/8.74 [41]P3(x411,f1(x411),x411)
% 8.63/8.74 [43]P4(x431,f5(x431),f4(x431))
% 8.63/8.74 [39]P2(x391,f6(x392,x391))
% 8.63/8.74 [40]P2(x401,f2(x402,x401))
% 8.63/8.74 [42]P2(f15(x421,x422),f7(x421,x422))
% 8.63/8.74 [44]P3(x441,x442,f15(x441,x442))
% 8.63/8.74 [45]P4(x451,x452,f3(x451,x452))
% 8.63/8.74 [46]P3(x461,f6(x461,x462),f7(x461,x462))
% 8.63/8.74 [47]P4(x471,f2(x471,x472),f16(x471,x472))
% 8.63/8.74 [48]P3(f3(x481,x482),x481,f16(x481,x482))
% 8.63/8.74 [49]P1(x491)+~E(x491,a8)
% 8.63/8.74 [50]~P1(x501)+E(x501,a8)
% 8.63/8.74 [51]E(f11(x511),x511)+E(f9(x511),x511)
% 8.63/8.74 [52]E(f11(x521),x521)+P1(f9(x521))
% 8.63/8.74 [55]P2(f10(x551),f11(x551))+E(f9(x551),x551)
% 8.63/8.74 [57]P2(f10(x571),f11(x571))+P1(f9(x571))
% 8.63/8.74 [53]P2(x531,x532)+~E(x532,f12(x531))
% 8.63/8.75 [54]~P2(x542,x541)+E(x541,f12(x542))
% 8.63/8.75 [59]P3(x591,x592,x593)+~E(x593,f13(x591,x592))
% 8.63/8.75 [60]P4(x601,x602,x603)+~E(x603,f14(x601,x602))
% 8.63/8.75 [61]~P3(x612,x613,x611)+E(x611,f13(x612,x613))
% 8.63/8.75 [62]~P4(x622,x623,x621)+E(x621,f14(x622,x623))
% 8.63/8.75 [56]~P1(x561)+~E(x561,x562)+~P2(x563,x562)
% 8.63/8.75 [58]~P2(x582,x584)+~P2(x581,x583)+E(x581,x582)+~E(x583,x584)
% 8.63/8.75 [63]~P1(x632)+~E(x631,x632)+~P4(x635,x634,x631)+~P2(x633,x634)+~P1(x633)
% 8.63/8.75 %EqnAxiom
% 8.63/8.75 [1]E(x11,x11)
% 8.63/8.75 [2]E(x22,x21)+~E(x21,x22)
% 8.63/8.75 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 8.63/8.75 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 8.63/8.75 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 8.63/8.75 [6]~E(x61,x62)+E(f5(x61),f5(x62))
% 8.63/8.75 [7]~E(x71,x72)+E(f6(x71,x73),f6(x72,x73))
% 8.63/8.75 [8]~E(x81,x82)+E(f6(x83,x81),f6(x83,x82))
% 8.63/8.75 [9]~E(x91,x92)+E(f2(x91,x93),f2(x92,x93))
% 8.63/8.75 [10]~E(x101,x102)+E(f2(x103,x101),f2(x103,x102))
% 8.63/8.75 [11]~E(x111,x112)+E(f14(x111,x113),f14(x112,x113))
% 8.63/8.75 [12]~E(x121,x122)+E(f14(x123,x121),f14(x123,x122))
% 8.63/8.75 [13]~E(x131,x132)+E(f15(x131,x133),f15(x132,x133))
% 8.63/8.75 [14]~E(x141,x142)+E(f15(x143,x141),f15(x143,x142))
% 8.63/8.75 [15]~E(x151,x152)+E(f7(x151,x153),f7(x152,x153))
% 8.63/8.75 [16]~E(x161,x162)+E(f7(x163,x161),f7(x163,x162))
% 8.63/8.75 [17]~E(x171,x172)+E(f10(x171),f10(x172))
% 8.63/8.75 [18]~E(x181,x182)+E(f13(x181,x183),f13(x182,x183))
% 8.63/8.75 [19]~E(x191,x192)+E(f13(x193,x191),f13(x193,x192))
% 8.63/8.75 [20]~E(x201,x202)+E(f9(x201),f9(x202))
% 8.63/8.75 [21]~E(x211,x212)+E(f3(x211,x213),f3(x212,x213))
% 8.63/8.75 [22]~E(x221,x222)+E(f3(x223,x221),f3(x223,x222))
% 8.63/8.75 [23]~E(x231,x232)+E(f12(x231),f12(x232))
% 8.63/8.75 [24]~E(x241,x242)+E(f11(x241),f11(x242))
% 8.63/8.75 [25]~E(x251,x252)+E(f16(x251,x253),f16(x252,x253))
% 8.63/8.75 [26]~E(x261,x262)+E(f16(x263,x261),f16(x263,x262))
% 8.63/8.75 [27]~P1(x271)+P1(x272)+~E(x271,x272)
% 8.63/8.75 [28]P4(x282,x283,x284)+~E(x281,x282)+~P4(x281,x283,x284)
% 8.63/8.75 [29]P4(x293,x292,x294)+~E(x291,x292)+~P4(x293,x291,x294)
% 8.63/8.75 [30]P4(x303,x304,x302)+~E(x301,x302)+~P4(x303,x304,x301)
% 8.63/8.75 [31]P2(x312,x313)+~E(x311,x312)+~P2(x311,x313)
% 8.63/8.75 [32]P2(x323,x322)+~E(x321,x322)+~P2(x323,x321)
% 8.63/8.75 [33]P3(x332,x333,x334)+~E(x331,x332)+~P3(x331,x333,x334)
% 8.63/8.75 [34]P3(x343,x342,x344)+~E(x341,x342)+~P3(x343,x341,x344)
% 8.63/8.75 [35]P3(x353,x354,x352)+~E(x351,x352)+~P3(x353,x354,x351)
% 8.63/8.75
% 8.63/8.75 %-------------------------------------------
% 8.63/8.75 cnf(64,plain,
% 8.63/8.75 (~E(f1(x641),f6(x642,x643))),
% 8.63/8.75 inference(scs_inference,[],[36,39,56])).
% 8.63/8.75 cnf(65,plain,
% 8.63/8.75 (~E(f6(x651,x652),f1(x653))),
% 8.63/8.75 inference(scs_inference,[],[36,39,56,2])).
% 8.63/8.75 cnf(66,plain,
% 8.63/8.75 (E(f1(x661),a8)),
% 8.63/8.75 inference(scs_inference,[],[36,39,56,2,50])).
% 8.63/8.75 cnf(68,plain,
% 8.63/8.75 (E(f6(x681,x682),f12(x682))),
% 8.63/8.75 inference(scs_inference,[],[36,39,56,2,50,54])).
% 8.63/8.75 cnf(70,plain,
% 8.63/8.75 (E(f16(x701,f1(x702)),f16(x701,a8))),
% 8.63/8.75 inference(scs_inference,[],[36,39,56,2,50,54,26])).
% 8.63/8.75 cnf(71,plain,
% 8.63/8.75 (E(f16(f1(x711),x712),f16(a8,x712))),
% 8.63/8.75 inference(scs_inference,[],[36,39,56,2,50,54,26,25])).
% 8.63/8.75 cnf(72,plain,
% 8.63/8.75 (E(f11(f1(x721)),f11(a8))),
% 8.63/8.75 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24])).
% 8.63/8.75 cnf(73,plain,
% 8.63/8.75 (E(f12(f1(x731)),f12(a8))),
% 8.63/8.75 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23])).
% 8.63/8.75 cnf(74,plain,
% 8.63/8.75 (E(f3(x741,f1(x742)),f3(x741,a8))),
% 8.63/8.75 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22])).
% 8.63/8.75 cnf(75,plain,
% 8.63/8.75 (E(f3(f1(x751),x752),f3(a8,x752))),
% 8.63/8.75 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21])).
% 8.63/8.75 cnf(76,plain,
% 8.63/8.75 (E(f9(f1(x761)),f9(a8))),
% 8.63/8.75 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20])).
% 8.63/8.75 cnf(77,plain,
% 8.63/8.75 (E(f13(x771,f1(x772)),f13(x771,a8))),
% 8.63/8.75 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19])).
% 8.63/8.75 cnf(78,plain,
% 8.63/8.75 (E(f13(f1(x781),x782),f13(a8,x782))),
% 8.63/8.75 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18])).
% 8.63/8.75 cnf(80,plain,
% 8.63/8.76 (E(f7(x801,f1(x802)),f7(x801,a8))),
% 8.63/8.76 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16])).
% 8.63/8.76 cnf(81,plain,
% 8.63/8.76 (E(f7(f1(x811),x812),f7(a8,x812))),
% 8.63/8.76 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15])).
% 8.63/8.76 cnf(82,plain,
% 8.63/8.76 (E(f15(x821,f1(x822)),f15(x821,a8))),
% 8.63/8.76 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14])).
% 8.63/8.76 cnf(83,plain,
% 8.63/8.76 (E(f15(f1(x831),x832),f15(a8,x832))),
% 8.63/8.76 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13])).
% 8.63/8.76 cnf(84,plain,
% 8.63/8.76 (E(f14(x841,f1(x842)),f14(x841,a8))),
% 8.63/8.76 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12])).
% 8.63/8.76 cnf(85,plain,
% 8.63/8.76 (E(f14(f1(x851),x852),f14(a8,x852))),
% 8.63/8.76 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11])).
% 8.63/8.76 cnf(86,plain,
% 8.63/8.76 (E(f2(x861,f1(x862)),f2(x861,a8))),
% 8.63/8.76 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10])).
% 8.63/8.76 cnf(87,plain,
% 8.63/8.76 (E(f2(f1(x871),x872),f2(a8,x872))),
% 8.63/8.76 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9])).
% 8.63/8.76 cnf(88,plain,
% 8.63/8.76 (E(f6(x881,f1(x882)),f6(x881,a8))),
% 8.63/8.76 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8])).
% 8.63/8.76 cnf(90,plain,
% 8.63/8.76 (E(f5(f1(x901)),f5(a8))),
% 8.63/8.76 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6])).
% 8.63/8.76 cnf(91,plain,
% 8.63/8.76 (E(f4(f1(x911)),f4(a8))),
% 8.63/8.76 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 8.63/8.76 cnf(92,plain,
% 8.63/8.76 (E(f1(f1(x921)),f1(a8))),
% 8.63/8.76 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 8.63/8.76 cnf(93,plain,
% 8.63/8.76 (E(f3(x931,x932),f14(x931,x932))),
% 8.63/8.76 inference(scs_inference,[],[36,45,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,62])).
% 8.63/8.76 cnf(95,plain,
% 8.63/8.76 (E(x951,f13(x951,f1(x951)))),
% 8.63/8.76 inference(scs_inference,[],[36,41,45,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,62,61])).
% 8.63/8.76 cnf(97,plain,
% 8.63/8.76 (P1(a8)),
% 8.63/8.76 inference(scs_inference,[],[36,41,45,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,62,61,27])).
% 8.63/8.76 cnf(98,plain,
% 8.63/8.76 (~E(a8,f6(x981,x982))),
% 8.63/8.76 inference(scs_inference,[],[36,41,45,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,62,61,27,3])).
% 8.63/8.76 cnf(103,plain,
% 8.63/8.76 (P2(a8,f12(f1(x1031)))),
% 8.63/8.76 inference(scs_inference,[],[36,41,45,39,37,43,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,62,61,27,3,58,63,53])).
% 8.63/8.76 cnf(109,plain,
% 8.63/8.76 (P3(f1(x1091),f1(f1(x1091)),a8)),
% 8.63/8.76 inference(scs_inference,[],[36,41,45,39,37,43,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,62,61,27,3,58,63,53,60,59,35])).
% 8.63/8.76 cnf(122,plain,
% 8.63/8.76 (~P1(f16(x1221,a8))),
% 8.63/8.76 inference(scs_inference,[],[36,40,47,70,63])).
% 8.63/8.76 cnf(123,plain,
% 8.63/8.76 (E(f16(x1231,f1(x1232)),f16(x1231,a8))),
% 8.63/8.76 inference(rename_variables,[],[70])).
% 8.63/8.76 cnf(124,plain,
% 8.63/8.76 (P4(x1241,f2(x1241,x1242),f16(x1241,x1242))),
% 8.63/8.76 inference(rename_variables,[],[47])).
% 8.63/8.76 cnf(125,plain,
% 8.63/8.76 (P2(x1251,f2(x1252,x1251))),
% 8.63/8.76 inference(rename_variables,[],[40])).
% 8.63/8.76 cnf(128,plain,
% 8.63/8.76 (P3(x1281,f1(x1281),f13(x1281,f1(x1281)))),
% 8.63/8.76 inference(scs_inference,[],[36,40,47,41,95,70,63,2,35])).
% 8.63/8.76 cnf(130,plain,
% 8.63/8.76 (P3(f3(x1301,x1302),f13(x1301,f1(x1301)),f16(x1301,x1302))),
% 8.63/8.76 inference(scs_inference,[],[36,40,47,48,41,95,70,63,2,35,34])).
% 8.63/8.76 cnf(131,plain,
% 8.63/8.76 (P3(f13(x1311,f1(x1311)),f6(x1311,x1312),f7(x1311,x1312))),
% 8.63/8.76 inference(scs_inference,[],[36,40,46,47,48,41,95,70,63,2,35,34,33])).
% 8.63/8.76 cnf(132,plain,
% 8.63/8.76 (P4(x1321,f13(x1322,f1(x1322)),f3(x1321,x1322))),
% 8.63/8.76 inference(scs_inference,[],[36,40,46,47,48,41,45,95,70,63,2,35,34,33,29])).
% 8.63/8.76 cnf(134,plain,
% 8.63/8.76 (~P1(f16(x1341,f1(x1342)))),
% 8.63/8.76 inference(scs_inference,[],[36,40,46,47,48,41,45,95,70,123,63,2,35,34,33,29,27])).
% 8.63/8.76 cnf(135,plain,
% 8.63/8.76 (~P1(f6(x1351,f1(x1352)))),
% 8.63/8.76 inference(scs_inference,[],[36,40,46,47,48,41,45,95,68,70,123,103,63,2,35,34,33,29,27,56])).
% 8.63/8.76 cnf(138,plain,
% 8.63/8.76 (P2(f13(x1381,f1(x1381)),f2(x1382,x1381))),
% 8.63/8.76 inference(scs_inference,[],[36,40,125,46,47,48,41,45,95,68,70,123,103,63,2,35,34,33,29,27,56,31])).
% 8.63/8.76 cnf(139,plain,
% 8.63/8.76 (P2(x1391,f2(x1392,x1391))),
% 8.63/8.76 inference(rename_variables,[],[40])).
% 8.63/8.76 cnf(140,plain,
% 8.63/8.76 (P4(f13(x1401,f1(x1401)),f2(x1401,x1402),f16(x1401,x1402))),
% 8.63/8.76 inference(scs_inference,[],[36,40,125,46,47,124,48,41,45,95,68,70,123,103,63,2,35,34,33,29,27,56,31,28])).
% 8.63/8.76 cnf(141,plain,
% 8.63/8.76 (E(x1411,f13(x1411,a8))),
% 8.63/8.76 inference(scs_inference,[],[36,40,125,46,47,124,48,41,45,95,68,70,123,77,103,63,2,35,34,33,29,27,56,31,28,3])).
% 8.63/8.76 cnf(144,plain,
% 8.63/8.76 (P1(f13(a8,f1(a8)))),
% 8.63/8.76 inference(scs_inference,[],[36,40,125,46,47,124,48,41,45,95,68,70,123,77,103,63,2,35,34,33,29,27,56,31,28,3,49])).
% 8.63/8.76 cnf(146,plain,
% 8.63/8.76 (~E(f6(x1461,a8),f2(x1462,f6(x1463,x1464)))),
% 8.63/8.76 inference(scs_inference,[],[36,40,125,139,46,47,124,48,41,45,39,95,68,70,123,77,98,103,63,2,35,34,33,29,27,56,31,28,3,49,58])).
% 8.63/8.76 cnf(153,plain,
% 8.63/8.76 (P1(f13(f4(x1531),a8))),
% 8.63/8.76 inference(scs_inference,[],[37,134,141,146,49,2,27])).
% 8.63/8.76 cnf(154,plain,
% 8.63/8.76 (E(x1541,f13(x1541,a8))),
% 8.63/8.76 inference(rename_variables,[],[141])).
% 8.63/8.76 cnf(155,plain,
% 8.63/8.76 (~E(f16(x1551,f1(x1552)),f1(x1553))),
% 8.63/8.76 inference(scs_inference,[],[37,134,141,146,66,49,2,27,3])).
% 8.63/8.76 cnf(156,plain,
% 8.63/8.76 (P2(f15(x1561,x1562),f13(f7(x1561,x1562),a8))),
% 8.63/8.76 inference(scs_inference,[],[37,42,134,141,154,146,66,49,2,27,3,32])).
% 8.63/8.76 cnf(157,plain,
% 8.63/8.76 (E(x1571,f13(x1571,a8))),
% 8.63/8.76 inference(rename_variables,[],[141])).
% 8.63/8.76 cnf(158,plain,
% 8.63/8.76 (P4(x1581,f5(x1581),f13(f4(x1581),a8))),
% 8.63/8.76 inference(scs_inference,[],[37,42,43,134,141,154,157,146,66,49,2,27,3,32,30])).
% 8.63/8.76 cnf(159,plain,
% 8.63/8.76 (E(x1591,f13(x1591,a8))),
% 8.63/8.76 inference(rename_variables,[],[141])).
% 8.63/8.76 cnf(162,plain,
% 8.63/8.76 (~P1(f13(f16(x1621,a8),a8))),
% 8.63/8.76 inference(scs_inference,[],[37,42,40,43,47,138,134,141,154,157,159,146,144,66,49,2,27,3,32,30,58,63])).
% 8.63/8.76 cnf(169,plain,
% 8.63/8.76 (P1(f4(x1691))),
% 8.63/8.76 inference(rename_variables,[],[37])).
% 8.63/8.76 cnf(171,plain,
% 8.63/8.76 (E(f14(x1711,x1712),f3(x1711,x1712))),
% 8.63/8.76 inference(scs_inference,[],[37,38,43,93,91,63,2])).
% 8.63/8.76 cnf(172,plain,
% 8.63/8.76 (~E(f4(x1721),f6(x1722,f1(x1723)))),
% 8.63/8.76 inference(scs_inference,[],[37,169,38,43,93,135,91,63,2,27])).
% 8.63/8.76 cnf(177,plain,
% 8.63/8.76 (~P1(f16(a8,f5(x1771)))),
% 8.63/8.76 inference(scs_inference,[],[38,40,47,71,63])).
% 8.63/8.76 cnf(178,plain,
% 8.63/8.76 (P4(x1781,f2(x1781,x1782),f16(x1781,x1782))),
% 8.63/8.76 inference(rename_variables,[],[47])).
% 8.63/8.76 cnf(180,plain,
% 8.63/8.76 (P2(x1801,f2(x1802,x1801))),
% 8.63/8.76 inference(rename_variables,[],[40])).
% 8.63/8.76 cnf(182,plain,
% 8.63/8.76 (~E(f1(x1821),f16(x1822,f1(x1823)))),
% 8.63/8.76 inference(scs_inference,[],[38,40,47,155,71,63,2])).
% 8.63/8.76 cnf(184,plain,
% 8.63/8.76 (E(f14(x1841,x1842),f3(x1841,x1842))),
% 8.63/8.76 inference(rename_variables,[],[171])).
% 8.63/8.76 cnf(185,plain,
% 8.63/8.76 (P4(a8,x1851,f14(f1(x1852),x1851))),
% 8.63/8.76 inference(scs_inference,[],[38,40,47,171,155,71,74,85,63,2,3,60])).
% 8.63/8.76 cnf(189,plain,
% 8.63/8.76 (E(f16(x1891,x1892),f16(f13(x1891,a8),x1892))),
% 8.63/8.76 inference(scs_inference,[],[38,40,47,171,155,71,74,78,85,141,63,2,3,60,59,25])).
% 8.63/8.76 cnf(191,plain,
% 8.63/8.76 (E(f12(x1911),f12(f13(x1911,a8)))),
% 8.63/8.76 inference(scs_inference,[],[38,40,47,171,155,71,74,78,85,141,63,2,3,60,59,25,24,23])).
% 8.63/8.76 cnf(192,plain,
% 8.63/8.76 (E(f3(x1921,x1922),f3(x1921,f13(x1922,a8)))),
% 8.63/8.76 inference(scs_inference,[],[38,40,47,171,155,71,74,78,85,141,63,2,3,60,59,25,24,23,22])).
% 8.63/8.76 cnf(194,plain,
% 8.63/8.76 (E(f13(x1941,x1942),f13(f13(x1941,a8),x1942))),
% 8.63/8.76 inference(scs_inference,[],[38,40,47,171,155,71,74,78,85,141,63,2,3,60,59,25,24,23,22,20,18])).
% 8.63/8.76 cnf(196,plain,
% 8.63/8.76 (E(f7(x1961,x1962),f7(x1961,f13(x1962,a8)))),
% 8.63/8.76 inference(scs_inference,[],[38,40,47,171,155,71,74,78,85,141,63,2,3,60,59,25,24,23,22,20,18,17,16])).
% 8.63/8.76 cnf(197,plain,
% 8.63/8.76 (E(f15(x1971,x1972),f15(f13(x1971,a8),x1972))),
% 8.63/8.76 inference(scs_inference,[],[38,40,47,171,155,71,74,78,85,141,63,2,3,60,59,25,24,23,22,20,18,17,16,13])).
% 8.63/8.76 cnf(198,plain,
% 8.63/8.76 (E(f14(x1981,x1982),f14(x1981,f13(x1982,a8)))),
% 8.63/8.76 inference(scs_inference,[],[38,40,47,171,155,71,74,78,85,141,63,2,3,60,59,25,24,23,22,20,18,17,16,13,12])).
% 8.63/8.76 cnf(199,plain,
% 8.63/8.76 (E(f6(x1991,x1992),f6(f13(x1991,a8),x1992))),
% 8.63/8.76 inference(scs_inference,[],[38,40,47,171,155,71,74,78,85,141,63,2,3,60,59,25,24,23,22,20,18,17,16,13,12,7])).
% 8.63/8.76 cnf(200,plain,
% 8.63/8.76 (E(f1(x2001),f1(f13(x2001,a8)))),
% 8.63/8.76 inference(scs_inference,[],[38,40,47,171,155,71,74,78,85,141,63,2,3,60,59,25,24,23,22,20,18,17,16,13,12,7,4])).
% 8.63/8.76 cnf(201,plain,
% 8.63/8.76 (E(f16(x2011,x2012),f14(x2011,f2(x2011,x2012)))),
% 8.63/8.76 inference(scs_inference,[],[38,40,47,178,171,155,71,74,78,85,141,63,2,3,60,59,25,24,23,22,20,18,17,16,13,12,7,4,62])).
% 8.63/8.76 cnf(203,plain,
% 8.63/8.76 (E(f15(x2031,x2032),f13(x2031,x2032))),
% 8.63/8.76 inference(scs_inference,[],[38,44,40,47,178,171,155,71,74,78,85,141,63,2,3,60,59,25,24,23,22,20,18,17,16,13,12,7,4,62,61])).
% 8.63/8.76 cnf(205,plain,
% 8.63/8.76 (E(f2(x2051,x2052),f12(x2052))),
% 8.63/8.76 inference(scs_inference,[],[38,44,40,180,47,178,171,155,71,74,78,85,141,63,2,3,60,59,25,24,23,22,20,18,17,16,13,12,7,4,62,61,54])).
% 8.63/8.76 cnf(207,plain,
% 8.63/8.76 (E(f5(x2071),a8)),
% 8.63/8.76 inference(scs_inference,[],[38,44,40,180,47,178,171,155,71,74,78,85,141,63,2,3,60,59,25,24,23,22,20,18,17,16,13,12,7,4,62,61,54,50])).
% 8.63/8.76 cnf(209,plain,
% 8.63/8.76 (E(f16(x2091,x2092),f16(x2091,f13(x2092,a8)))),
% 8.63/8.76 inference(scs_inference,[],[38,44,40,180,47,178,171,155,71,74,78,85,141,63,2,3,60,59,25,24,23,22,20,18,17,16,13,12,7,4,62,61,54,50,26])).
% 8.63/8.76 cnf(210,plain,
% 8.63/8.76 (E(f3(x2101,x2102),f3(f13(x2101,a8),x2102))),
% 8.63/8.76 inference(scs_inference,[],[38,44,40,180,47,178,171,155,71,74,78,85,141,63,2,3,60,59,25,24,23,22,20,18,17,16,13,12,7,4,62,61,54,50,26,21])).
% 8.63/8.76 cnf(211,plain,
% 8.63/8.76 (E(f13(x2111,x2112),f13(x2111,f13(x2112,a8)))),
% 8.63/8.76 inference(scs_inference,[],[38,44,40,180,47,178,171,155,71,74,78,85,141,63,2,3,60,59,25,24,23,22,20,18,17,16,13,12,7,4,62,61,54,50,26,21,19])).
% 8.63/8.76 cnf(212,plain,
% 8.63/8.76 (E(f7(x2121,x2122),f7(f13(x2121,a8),x2122))),
% 8.63/8.76 inference(scs_inference,[],[38,44,40,180,47,178,171,155,71,74,78,85,141,63,2,3,60,59,25,24,23,22,20,18,17,16,13,12,7,4,62,61,54,50,26,21,19,15])).
% 8.63/8.76 cnf(213,plain,
% 8.63/8.76 (E(f15(x2131,x2132),f15(x2131,f13(x2132,a8)))),
% 8.63/8.76 inference(scs_inference,[],[38,44,40,180,47,178,171,155,71,74,78,85,141,63,2,3,60,59,25,24,23,22,20,18,17,16,13,12,7,4,62,61,54,50,26,21,19,15,14])).
% 8.63/8.76 cnf(214,plain,
% 8.63/8.76 (E(f14(x2141,x2142),f14(f13(x2141,a8),x2142))),
% 8.63/8.76 inference(scs_inference,[],[38,44,40,180,47,178,171,155,71,74,78,85,141,63,2,3,60,59,25,24,23,22,20,18,17,16,13,12,7,4,62,61,54,50,26,21,19,15,14,11])).
% 8.63/8.76 cnf(215,plain,
% 8.63/8.76 (E(f2(x2151,x2152),f2(x2151,f13(x2152,a8)))),
% 8.63/8.76 inference(scs_inference,[],[38,44,40,180,47,178,171,155,71,74,78,85,141,63,2,3,60,59,25,24,23,22,20,18,17,16,13,12,7,4,62,61,54,50,26,21,19,15,14,11,10])).
% 8.63/8.76 cnf(216,plain,
% 8.63/8.76 (E(f2(x2161,x2162),f2(f13(x2161,a8),x2162))),
% 8.63/8.76 inference(scs_inference,[],[38,44,40,180,47,178,171,155,71,74,78,85,141,63,2,3,60,59,25,24,23,22,20,18,17,16,13,12,7,4,62,61,54,50,26,21,19,15,14,11,10,9])).
% 8.63/8.76 cnf(217,plain,
% 8.63/8.76 (E(f6(x2171,x2172),f6(x2171,f13(x2172,a8)))),
% 8.63/8.76 inference(scs_inference,[],[38,44,40,180,47,178,171,155,71,74,78,85,141,63,2,3,60,59,25,24,23,22,20,18,17,16,13,12,7,4,62,61,54,50,26,21,19,15,14,11,10,9,8])).
% 8.63/8.76 cnf(218,plain,
% 8.63/8.76 (E(f5(x2181),f5(f13(x2181,a8)))),
% 8.63/8.76 inference(scs_inference,[],[38,44,40,180,47,178,171,155,71,74,78,85,141,63,2,3,60,59,25,24,23,22,20,18,17,16,13,12,7,4,62,61,54,50,26,21,19,15,14,11,10,9,8,6])).
% 8.63/8.76 cnf(219,plain,
% 8.63/8.76 (E(f4(x2191),f4(f13(x2191,a8)))),
% 8.63/8.76 inference(scs_inference,[],[38,44,40,180,47,178,171,155,71,74,78,85,141,63,2,3,60,59,25,24,23,22,20,18,17,16,13,12,7,4,62,61,54,50,26,21,19,15,14,11,10,9,8,6,5])).
% 8.63/8.76 cnf(220,plain,
% 8.63/8.76 (~P1(f14(x2201,x2202))+P1(f3(x2201,x2202))),
% 8.63/8.76 inference(scs_inference,[],[38,44,40,180,47,178,171,184,155,71,74,78,85,141,63,2,3,60,59,25,24,23,22,20,18,17,16,13,12,7,4,62,61,54,50,26,21,19,15,14,11,10,9,8,6,5,27])).
% 8.63/8.76 cnf(221,plain,
% 8.63/8.76 (P2(f13(x2211,a8),f12(x2211))),
% 8.63/8.76 inference(scs_inference,[],[191,53])).
% 8.63/8.76 cnf(223,plain,
% 8.63/8.76 (~P1(f7(x2231,x2232))),
% 8.63/8.76 inference(scs_inference,[],[42,196,191,53,56])).
% 8.63/8.76 cnf(224,plain,
% 8.63/8.76 (P2(f15(x2241,x2242),f7(x2241,x2242))),
% 8.63/8.76 inference(rename_variables,[],[42])).
% 8.63/8.76 cnf(228,plain,
% 8.63/8.76 (E(f6(x2281,x2282),f6(f13(x2281,a8),x2282))),
% 8.63/8.76 inference(rename_variables,[],[199])).
% 8.63/8.76 cnf(230,plain,
% 8.63/8.76 (E(f14(x2301,f2(x2301,x2302)),f16(x2301,x2302))),
% 8.63/8.76 inference(scs_inference,[],[64,42,39,201,196,199,191,53,56,58,2])).
% 8.63/8.76 cnf(231,plain,
% 8.63/8.76 (~E(f5(x2311),f16(x2312,a8))),
% 8.63/8.76 inference(scs_inference,[],[38,64,42,39,201,196,199,191,122,53,56,58,2,27])).
% 8.63/8.76 cnf(232,plain,
% 8.63/8.76 (E(f15(x2321,x2322),f13(f13(x2321,a8),x2322))),
% 8.63/8.76 inference(scs_inference,[],[38,64,42,39,201,203,196,197,199,191,122,53,56,58,2,27,3])).
% 8.63/8.76 cnf(233,plain,
% 8.63/8.76 (E(f15(x2331,x2332),f13(x2331,x2332))),
% 8.63/8.76 inference(rename_variables,[],[203])).
% 8.63/8.76 cnf(234,plain,
% 8.63/8.76 (P4(x2341,f13(x2342,x2343),f3(x2341,f15(x2342,x2343)))),
% 8.63/8.76 inference(scs_inference,[],[38,64,42,45,39,201,203,233,196,197,199,191,122,53,56,58,2,27,3,29])).
% 8.63/8.76 cnf(235,plain,
% 8.63/8.76 (P4(x2351,x2352,f3(x2351,x2352))),
% 8.63/8.76 inference(rename_variables,[],[45])).
% 8.63/8.76 cnf(236,plain,
% 8.63/8.76 (P3(f3(x2361,x2362),x2361,f14(x2361,f2(x2361,x2362)))),
% 8.63/8.76 inference(scs_inference,[],[38,64,48,42,45,39,201,203,233,196,197,199,191,122,53,56,58,2,27,3,29,35])).
% 8.63/8.76 cnf(237,plain,
% 8.63/8.76 (E(f16(x2371,x2372),f14(x2371,f2(x2371,x2372)))),
% 8.63/8.76 inference(rename_variables,[],[201])).
% 8.63/8.76 cnf(238,plain,
% 8.63/8.76 (P3(x2381,f6(f13(x2381,a8),x2382),f7(x2381,x2382))),
% 8.63/8.76 inference(scs_inference,[],[38,64,46,48,42,45,39,201,203,233,196,197,199,228,191,122,53,56,58,2,27,3,29,35,34])).
% 8.63/8.76 cnf(240,plain,
% 8.63/8.76 (P3(f13(x2401,a8),f6(x2401,x2402),f7(x2401,x2402))),
% 8.63/8.76 inference(scs_inference,[],[38,64,46,48,42,45,39,201,203,233,196,197,199,228,191,122,141,53,56,58,2,27,3,29,35,34,33])).
% 8.63/8.76 cnf(242,plain,
% 8.63/8.76 (P2(f13(x2421,x2422),f7(x2421,x2422))),
% 8.63/8.76 inference(scs_inference,[],[38,64,46,48,42,224,45,39,201,203,233,196,197,199,228,191,122,141,53,56,58,2,27,3,29,35,34,33,31])).
% 8.63/8.76 cnf(243,plain,
% 8.63/8.76 (E(f15(x2431,x2432),f13(x2431,x2432))),
% 8.63/8.76 inference(rename_variables,[],[203])).
% 8.63/8.76 cnf(244,plain,
% 8.63/8.76 (P4(f13(x2441,x2442),x2443,f3(f15(x2441,x2442),x2443))),
% 8.63/8.76 inference(scs_inference,[],[38,64,46,48,42,224,45,235,39,201,203,233,243,196,197,199,228,191,122,141,53,56,58,2,27,3,29,35,34,33,31,28])).
% 8.63/8.76 cnf(246,plain,
% 8.63/8.76 (~P1(f15(x2461,x2462))+~P4(x2463,f7(x2461,x2462),f5(x2464))),
% 8.63/8.76 inference(scs_inference,[],[38,64,46,48,42,224,45,235,39,201,203,233,243,196,197,199,228,191,218,122,141,53,56,58,2,27,3,29,35,34,33,31,28,63])).
% 8.63/8.76 cnf(249,plain,
% 8.63/8.76 (P4(x2491,f2(x2491,x2492),f14(x2491,f2(x2491,x2492)))),
% 8.63/8.76 inference(scs_inference,[],[38,64,46,48,42,224,45,235,47,39,201,237,203,233,243,196,197,199,228,191,218,122,141,53,56,58,2,27,3,29,35,34,33,31,28,63,30])).
% 8.63/8.76 cnf(252,plain,
% 8.63/8.76 (~P2(x2521,a8)),
% 8.63/8.76 inference(scs_inference,[],[66,36,56])).
% 8.63/8.76 cnf(253,plain,
% 8.63/8.76 (E(f1(x2531),a8)),
% 8.63/8.76 inference(rename_variables,[],[66])).
% 8.63/8.76 cnf(257,plain,
% 8.63/8.76 (P2(x2571,f2(x2572,x2571))),
% 8.63/8.76 inference(rename_variables,[],[40])).
% 8.63/8.76 cnf(259,plain,
% 8.63/8.76 (P4(f1(x2591),f5(a8),f4(f1(x2591)))),
% 8.63/8.76 inference(scs_inference,[],[65,66,40,43,205,90,36,56,58,29])).
% 8.63/8.76 cnf(260,plain,
% 8.63/8.76 (P4(x2601,f5(x2601),f4(x2601))),
% 8.63/8.76 inference(rename_variables,[],[43])).
% 8.63/8.76 cnf(261,plain,
% 8.63/8.76 (P3(x2611,x2612,f15(x2611,f13(x2612,a8)))),
% 8.63/8.76 inference(scs_inference,[],[65,66,44,40,43,205,213,90,36,56,58,29,35])).
% 8.63/8.76 cnf(262,plain,
% 8.63/8.76 (P3(x2621,a8,f15(x2621,f1(x2622)))),
% 8.63/8.76 inference(scs_inference,[],[65,66,253,44,40,43,205,213,90,36,56,58,29,35,34])).
% 8.63/8.76 cnf(263,plain,
% 8.63/8.76 (~E(f6(x2631,x2632),a8)),
% 8.63/8.76 inference(scs_inference,[],[39,65,66,253,44,40,43,205,213,90,36,56,58,29,35,34,32])).
% 8.63/8.76 cnf(264,plain,
% 8.63/8.76 (P2(a8,f2(x2641,f1(x2642)))),
% 8.63/8.76 inference(scs_inference,[],[39,65,66,253,44,40,257,43,205,213,90,36,56,58,29,35,34,32,31])).
% 8.63/8.76 cnf(266,plain,
% 8.63/8.76 (P3(f3(x2661,f13(x2662,a8)),x2661,f16(x2661,x2662))),
% 8.63/8.76 inference(scs_inference,[],[39,65,66,253,44,48,40,257,43,205,192,213,90,36,56,58,29,35,34,32,31,33])).
% 8.63/8.76 cnf(267,plain,
% 8.63/8.76 (P4(a8,x2671,f3(f1(x2672),x2671))),
% 8.63/8.76 inference(scs_inference,[],[39,65,66,253,44,48,40,257,43,45,205,192,213,90,36,56,58,29,35,34,32,31,33,28])).
% 8.63/8.76 cnf(268,plain,
% 8.63/8.76 (~P4(x2681,f7(f4(x2682),a8),f1(x2683))),
% 8.63/8.76 inference(scs_inference,[],[39,65,66,253,44,48,40,257,43,45,242,205,192,213,90,153,97,36,56,58,29,35,34,32,31,33,28,63])).
% 8.63/8.76 cnf(271,plain,
% 8.63/8.76 (~E(f6(x2711,f1(x2712)),f4(x2713))),
% 8.63/8.76 inference(scs_inference,[],[39,65,66,253,44,48,40,257,43,45,242,205,172,192,213,90,153,97,36,56,58,29,35,34,32,31,33,28,63,2])).
% 8.63/8.76 cnf(272,plain,
% 8.63/8.76 (P1(f13(f13(a8,a8),f1(a8)))),
% 8.63/8.76 inference(scs_inference,[],[39,65,66,253,44,48,40,257,43,45,242,205,172,192,194,213,90,153,97,144,36,56,58,29,35,34,32,31,33,28,63,2,27])).
% 8.63/8.76 cnf(278,plain,
% 8.63/8.76 (~P1(f6(x2781,x2782))),
% 8.63/8.76 inference(scs_inference,[],[39,65,66,253,44,48,40,257,43,45,242,205,172,182,192,194,213,90,153,97,144,36,56,58,29,35,34,32,31,33,28,63,2,27,3,53,50])).
% 8.63/8.76 cnf(280,plain,
% 8.63/8.76 (P4(x2801,f5(x2801),f4(f13(x2801,a8)))),
% 8.63/8.76 inference(scs_inference,[],[39,65,66,253,44,48,40,257,43,260,45,242,205,172,182,192,194,213,219,90,153,97,144,36,56,58,29,35,34,32,31,33,28,63,2,27,3,53,50,30])).
% 8.63/8.76 cnf(286,plain,
% 8.63/8.76 (P2(x2861,f6(x2862,x2861))),
% 8.63/8.76 inference(rename_variables,[],[39])).
% 8.63/8.76 cnf(291,plain,
% 8.63/8.76 (P2(x2911,f6(x2912,f13(x2911,a8)))),
% 8.63/8.76 inference(scs_inference,[],[39,286,40,217,268,80,272,263,50,56,58,29,32])).
% 8.63/8.76 cnf(292,plain,
% 8.63/8.76 (P2(x2921,f6(x2922,x2921))),
% 8.63/8.76 inference(rename_variables,[],[39])).
% 8.63/8.76 cnf(293,plain,
% 8.63/8.76 (~P4(x2931,f6(x2932,a8),f1(x2933))),
% 8.63/8.76 inference(scs_inference,[],[39,286,292,66,40,217,268,80,272,263,97,50,56,58,29,32,63])).
% 8.63/8.76 cnf(296,plain,
% 8.63/8.76 (E(a8,f1(x2961))),
% 8.63/8.76 inference(scs_inference,[],[39,286,292,66,40,217,268,80,272,263,97,50,56,58,29,32,63,2])).
% 8.63/8.76 cnf(297,plain,
% 8.63/8.76 (~P1(f15(f16(x2971,a8),a8))),
% 8.63/8.76 inference(scs_inference,[],[39,286,292,66,40,217,268,80,272,162,263,203,97,50,56,58,29,32,63,2,27])).
% 8.63/8.76 cnf(299,plain,
% 8.63/8.77 (E(f1(x2991),f13(a8,f1(a8)))),
% 8.63/8.77 inference(scs_inference,[],[39,286,292,66,40,217,268,80,272,162,263,203,97,95,50,56,58,29,32,63,2,27,3])).
% 8.63/8.77 cnf(301,plain,
% 8.63/8.77 (~E(f1(x3011),f14(x3012,f6(x3013,a8)))),
% 8.63/8.77 inference(scs_inference,[],[39,286,292,66,40,217,268,80,272,162,263,203,97,95,50,56,58,29,32,63,2,27,3,60])).
% 8.63/8.77 cnf(303,plain,
% 8.63/8.77 (~E(f7(x3031,x3032),a8)),
% 8.63/8.77 inference(scs_inference,[],[39,286,292,66,40,223,217,268,80,272,162,263,203,97,95,50,56,58,29,32,63,2,27,3,60,49])).
% 8.63/8.77 cnf(305,plain,
% 8.63/8.77 (P4(x3051,f13(x3052,a8),f14(x3051,x3052))),
% 8.63/8.77 inference(scs_inference,[],[198,60])).
% 8.63/8.77 cnf(309,plain,
% 8.63/8.77 (P4(x3091,f12(x3092),f3(x3091,f6(x3093,x3092)))),
% 8.63/8.77 inference(scs_inference,[],[40,68,45,198,153,60,56,29])).
% 8.63/8.77 cnf(311,plain,
% 8.63/8.77 (~P2(f13(f4(x3111),a8),f5(x3112))),
% 8.63/8.77 inference(scs_inference,[],[40,68,43,45,198,219,153,37,60,56,29,63])).
% 8.63/8.77 cnf(315,plain,
% 8.63/8.77 (~P2(x3151,f1(x3152))),
% 8.63/8.77 inference(scs_inference,[],[40,68,43,45,66,198,252,219,153,37,60,56,29,63,32])).
% 8.63/8.77 cnf(318,plain,
% 8.63/8.77 (~E(f7(x3181,x3182),f1(x3183))),
% 8.63/8.77 inference(scs_inference,[],[40,68,43,45,66,278,198,301,252,303,219,153,37,60,56,29,63,32,2,27,3])).
% 8.63/8.77 cnf(319,plain,
% 8.63/8.77 (E(f7(x3191,x3192),f13(x3191,f6(x3191,x3192)))),
% 8.63/8.77 inference(scs_inference,[],[40,68,46,43,45,66,278,198,301,252,303,219,153,37,60,56,29,63,32,2,27,3,61])).
% 8.63/8.77 cnf(323,plain,
% 8.63/8.77 (E(f4(x3231),f14(x3231,f5(x3231)))),
% 8.63/8.77 inference(scs_inference,[],[40,68,46,43,45,66,278,299,198,301,252,303,219,153,37,60,56,29,63,32,2,27,3,61,59,62])).
% 8.63/8.77 cnf(327,plain,
% 8.63/8.77 (E(f12(a8),f12(f1(x3271)))),
% 8.63/8.77 inference(scs_inference,[],[40,68,46,43,45,66,278,299,198,301,252,296,303,219,153,37,60,56,29,63,32,2,27,3,61,59,62,25,24,23])).
% 8.63/8.77 cnf(328,plain,
% 8.63/8.77 (E(f3(x3281,a8),f3(x3281,f1(x3282)))),
% 8.63/8.77 inference(scs_inference,[],[40,68,46,43,45,66,278,299,198,301,252,296,303,219,153,37,60,56,29,63,32,2,27,3,61,59,62,25,24,23,22])).
% 8.63/8.77 cnf(329,plain,
% 8.63/8.77 (E(f13(a8,x3291),f13(f1(x3292),x3291))),
% 8.63/8.77 inference(scs_inference,[],[40,68,46,43,45,66,278,299,198,301,252,296,303,219,153,37,60,56,29,63,32,2,27,3,61,59,62,25,24,23,22,18])).
% 8.63/8.77 cnf(331,plain,
% 8.63/8.77 (E(f15(a8,x3311),f15(f1(x3312),x3311))),
% 8.63/8.77 inference(scs_inference,[],[40,68,46,43,45,66,278,299,198,301,252,296,303,219,153,37,60,56,29,63,32,2,27,3,61,59,62,25,24,23,22,18,16,13])).
% 8.63/8.77 cnf(332,plain,
% 8.63/8.77 (E(f14(x3321,a8),f14(x3321,f1(x3322)))),
% 8.63/8.77 inference(scs_inference,[],[40,68,46,43,45,66,278,299,198,301,252,296,303,219,153,37,60,56,29,63,32,2,27,3,61,59,62,25,24,23,22,18,16,13,12])).
% 8.63/8.77 cnf(333,plain,
% 8.63/8.77 (E(f7(x3331,x3332),f12(f15(x3331,x3332)))),
% 8.63/8.77 inference(scs_inference,[],[40,68,46,42,43,45,66,278,299,198,301,252,296,303,219,153,37,60,56,29,63,32,2,27,3,61,59,62,25,24,23,22,18,16,13,12,54])).
% 8.63/8.77 cnf(338,plain,
% 8.63/8.77 (E(f13(x3381,a8),f13(x3381,f1(x3382)))),
% 8.63/8.77 inference(scs_inference,[],[40,68,46,42,43,45,66,278,299,198,301,252,296,303,219,153,37,60,56,29,63,32,2,27,3,61,59,62,25,24,23,22,18,16,13,12,54,53,20,19])).
% 8.63/8.77 cnf(340,plain,
% 8.63/8.77 (E(f14(a8,x3401),f14(f1(x3402),x3401))),
% 8.63/8.77 inference(scs_inference,[],[40,68,46,42,43,45,66,278,299,198,301,252,296,303,219,153,37,60,56,29,63,32,2,27,3,61,59,62,25,24,23,22,18,16,13,12,54,53,20,19,17,11])).
% 8.63/8.77 cnf(341,plain,
% 8.63/8.77 (E(f6(x3411,a8),f6(x3411,f1(x3412)))),
% 8.63/8.77 inference(scs_inference,[],[40,68,46,42,43,45,66,278,299,198,301,252,296,303,219,153,37,60,56,29,63,32,2,27,3,61,59,62,25,24,23,22,18,16,13,12,54,53,20,19,17,11,8])).
% 8.63/8.77 cnf(343,plain,
% 8.63/8.77 (E(f4(a8),f4(f1(x3431)))),
% 8.63/8.77 inference(scs_inference,[],[40,68,46,42,43,45,66,278,299,198,301,252,296,303,219,153,37,60,56,29,63,32,2,27,3,61,59,62,25,24,23,22,18,16,13,12,54,53,20,19,17,11,8,7,5])).
% 8.63/8.77 cnf(346,plain,
% 8.63/8.77 (E(f3(a8,x3461),f3(f1(x3462),x3461))),
% 8.63/8.77 inference(scs_inference,[],[40,68,46,42,43,45,66,278,299,198,301,252,296,303,219,153,37,60,56,29,63,32,2,27,3,61,59,62,25,24,23,22,18,16,13,12,54,53,20,19,17,11,8,7,5,4,26,21])).
% 8.63/8.77 cnf(347,plain,
% 8.63/8.77 (E(f7(a8,x3471),f7(f1(x3472),x3471))),
% 8.63/8.77 inference(scs_inference,[],[40,68,46,42,43,45,66,278,299,198,301,252,296,303,219,153,37,60,56,29,63,32,2,27,3,61,59,62,25,24,23,22,18,16,13,12,54,53,20,19,17,11,8,7,5,4,26,21,15])).
% 8.63/8.77 cnf(348,plain,
% 8.63/8.77 (E(f15(x3481,a8),f15(x3481,f1(x3482)))),
% 8.63/8.77 inference(scs_inference,[],[40,68,46,42,43,45,66,278,299,198,301,252,296,303,219,153,37,60,56,29,63,32,2,27,3,61,59,62,25,24,23,22,18,16,13,12,54,53,20,19,17,11,8,7,5,4,26,21,15,14])).
% 8.63/8.77 cnf(349,plain,
% 8.63/8.77 (E(f2(x3491,a8),f2(x3491,f1(x3492)))),
% 8.63/8.77 inference(scs_inference,[],[40,68,46,42,43,45,66,278,299,198,301,252,296,303,219,153,37,60,56,29,63,32,2,27,3,61,59,62,25,24,23,22,18,16,13,12,54,53,20,19,17,11,8,7,5,4,26,21,15,14,10])).
% 8.63/8.77 cnf(350,plain,
% 8.63/8.77 (E(f2(a8,x3501),f2(f1(x3502),x3501))),
% 8.63/8.77 inference(scs_inference,[],[40,68,46,42,43,45,66,278,299,198,301,252,296,303,219,153,37,60,56,29,63,32,2,27,3,61,59,62,25,24,23,22,18,16,13,12,54,53,20,19,17,11,8,7,5,4,26,21,15,14,10,9])).
% 8.63/8.77 cnf(351,plain,
% 8.63/8.77 (E(f5(a8),f5(f1(x3511)))),
% 8.63/8.77 inference(scs_inference,[],[40,68,46,42,43,45,66,278,299,198,301,252,296,303,219,153,37,60,56,29,63,32,2,27,3,61,59,62,25,24,23,22,18,16,13,12,54,53,20,19,17,11,8,7,5,4,26,21,15,14,10,9,6])).
% 8.63/8.77 cnf(352,plain,
% 8.63/8.77 (P2(f1(x3521),f12(a8))),
% 8.63/8.77 inference(scs_inference,[],[327,53])).
% 8.63/8.77 cnf(354,plain,
% 8.63/8.77 (~P2(x3541,f13(a8,f1(a8)))),
% 8.63/8.77 inference(scs_inference,[],[327,97,95,53,56])).
% 8.63/8.77 cnf(359,plain,
% 8.63/8.77 (~E(f2(x3591,x3592),f1(x3593))),
% 8.63/8.77 inference(scs_inference,[],[40,47,315,215,327,97,95,53,56,29,32])).
% 8.63/8.77 cnf(361,plain,
% 8.63/8.77 (E(f12(x3611),f6(x3612,x3611))),
% 8.63/8.77 inference(scs_inference,[],[40,68,47,315,215,327,97,95,53,56,29,32,2])).
% 8.63/8.77 cnf(362,plain,
% 8.63/8.77 (P1(f13(f4(x3621),f13(a8,a8)))),
% 8.63/8.77 inference(scs_inference,[],[40,68,47,315,211,215,327,97,153,95,53,56,29,32,2,27])).
% 8.63/8.77 cnf(364,plain,
% 8.63/8.77 (~E(f12(x3641),f1(x3642))),
% 8.63/8.77 inference(scs_inference,[],[40,65,68,47,315,211,215,327,97,153,95,53,56,29,32,2,27,3])).
% 8.63/8.77 cnf(368,plain,
% 8.63/8.77 (~P4(x3681,x3682,f6(x3683,x3684))+P4(x3681,x3682,f12(x3684))),
% 8.63/8.77 inference(scs_inference,[],[40,65,68,47,43,315,211,215,327,272,97,153,95,53,56,29,32,2,27,3,63,30])).
% 8.63/8.77 cnf(371,plain,
% 8.63/8.77 (P4(f13(x3711,a8),x3712,f14(x3711,x3712))),
% 8.63/8.77 inference(scs_inference,[],[214,60])).
% 8.63/8.77 cnf(377,plain,
% 8.63/8.77 (~P2(x3771,f14(x3772,f5(x3772)))),
% 8.63/8.77 inference(scs_inference,[],[323,354,214,362,37,60,50,53,56])).
% 8.63/8.77 cnf(378,plain,
% 8.63/8.77 (E(f4(x3781),f14(x3781,f5(x3781)))),
% 8.63/8.77 inference(rename_variables,[],[323])).
% 8.63/8.77 cnf(381,plain,
% 8.63/8.77 (~P4(x3811,f6(x3812,a8),f1(x3813))),
% 8.63/8.77 inference(rename_variables,[],[293])).
% 8.63/8.77 cnf(383,plain,
% 8.63/8.77 (P2(f15(x3831,a8),f7(x3831,f1(x3832)))),
% 8.63/8.77 inference(scs_inference,[],[42,45,323,354,214,362,82,293,37,60,50,53,56,30,31])).
% 8.63/8.77 cnf(385,plain,
% 8.63/8.77 (P2(f15(x3851,x3852),f7(x3851,x3852))),
% 8.63/8.77 inference(rename_variables,[],[42])).
% 8.63/8.77 cnf(386,plain,
% 8.63/8.77 (~P4(x3861,f12(a8),f1(x3862))),
% 8.63/8.77 inference(scs_inference,[],[42,45,323,361,354,214,362,82,293,381,37,60,50,53,56,30,31,29])).
% 8.63/8.77 cnf(388,plain,
% 8.63/8.77 (E(f12(x3881),f6(x3882,x3881))),
% 8.63/8.77 inference(rename_variables,[],[361])).
% 8.63/8.77 cnf(389,plain,
% 8.63/8.77 (P2(f15(x3891,x3892),f13(x3891,f6(x3891,x3892)))),
% 8.63/8.77 inference(scs_inference,[],[42,385,45,323,319,361,354,214,362,82,293,381,37,60,50,53,56,30,31,29,32])).
% 8.63/8.77 cnf(390,plain,
% 8.63/8.77 (P2(f15(x3901,x3902),f7(x3901,x3902))),
% 8.63/8.77 inference(rename_variables,[],[42])).
% 8.63/8.77 cnf(391,plain,
% 8.63/8.77 (~E(f1(x3911),f7(x3912,x3913))),
% 8.63/8.77 inference(scs_inference,[],[42,385,45,323,319,361,318,354,214,362,82,293,381,37,60,50,53,56,30,31,29,32,2])).
% 8.63/8.77 cnf(392,plain,
% 8.63/8.77 (P1(f14(x3921,f5(x3921)))),
% 8.63/8.77 inference(scs_inference,[],[42,385,45,323,378,319,361,318,354,214,362,82,293,381,37,60,50,53,56,30,31,29,32,2,27])).
% 8.63/8.77 cnf(394,plain,
% 8.63/8.77 (E(f6(x3941,x3942),f6(x3943,x3942))),
% 8.63/8.77 inference(scs_inference,[],[42,385,68,45,323,378,319,361,388,318,354,214,362,82,293,381,37,60,50,53,56,30,31,29,32,2,27,3])).
% 8.63/8.77 cnf(395,plain,
% 8.63/8.77 (E(f6(x3951,x3952),f12(x3952))),
% 8.63/8.77 inference(rename_variables,[],[68])).
% 8.63/8.77 cnf(398,plain,
% 8.63/8.77 (P3(f6(x3981,x3982),f1(f6(x3981,x3982)),f12(x3982))),
% 8.63/8.77 inference(scs_inference,[],[41,42,385,390,68,395,45,323,378,319,361,388,318,354,214,291,362,82,293,381,37,60,50,53,56,30,31,29,32,2,27,3,58,35])).
% 8.63/8.77 cnf(399,plain,
% 8.63/8.77 (P3(x3991,f1(x3991),x3991)),
% 8.63/8.77 inference(rename_variables,[],[41])).
% 8.63/8.77 cnf(400,plain,
% 8.63/8.77 (P3(x4001,f1(f13(x4001,a8)),x4001)),
% 8.63/8.77 inference(scs_inference,[],[41,399,42,385,390,68,395,45,323,378,319,361,388,318,354,214,291,362,200,82,293,381,37,60,50,53,56,30,31,29,32,2,27,3,58,35,34])).
% 8.63/8.77 cnf(402,plain,
% 8.63/8.77 (P3(f12(x4021),f1(f6(x4022,x4021)),f6(x4022,x4021))),
% 8.63/8.77 inference(scs_inference,[],[41,399,42,385,390,68,395,45,323,378,319,361,388,318,354,214,291,362,200,82,293,381,37,60,50,53,56,30,31,29,32,2,27,3,58,35,34,33])).
% 8.63/8.77 cnf(404,plain,
% 8.63/8.77 (P4(f1(x4041),f2(a8,x4042),f16(a8,x4042))),
% 8.63/8.77 inference(scs_inference,[],[41,399,42,385,390,68,395,47,45,323,378,319,361,388,318,354,214,291,362,200,82,293,381,37,296,60,50,53,56,30,31,29,32,2,27,3,58,35,34,33,28])).
% 8.63/8.77 cnf(406,plain,
% 8.63/8.77 (P1(f3(x4061,f5(x4061)))),
% 8.63/8.77 inference(scs_inference,[],[41,399,42,385,390,68,395,47,45,323,378,319,361,388,318,354,214,291,362,200,82,293,381,37,296,60,50,53,56,30,31,29,32,2,27,3,58,35,34,33,28,220])).
% 8.63/8.77 cnf(413,plain,
% 8.63/8.77 (E(f13(f1(x4131),a8),f1(x4132))),
% 8.63/8.77 inference(scs_inference,[],[221,386,73,177,352,49,60,58])).
% 8.63/8.77 cnf(416,plain,
% 8.63/8.77 (~P1(f2(x4161,f1(x4162)))),
% 8.63/8.77 inference(scs_inference,[],[216,221,386,73,177,352,264,49,60,58,56])).
% 8.63/8.77 cnf(420,plain,
% 8.63/8.77 (P3(f3(x4201,f1(x4202)),x4201,f16(x4201,a8))),
% 8.63/8.77 inference(scs_inference,[],[70,48,216,221,386,73,177,352,264,49,60,58,56,35])).
% 8.63/8.77 cnf(421,plain,
% 8.63/8.77 (P3(x4211,f12(x4212),f7(x4211,x4212))),
% 8.63/8.77 inference(scs_inference,[],[70,48,46,68,216,221,386,73,177,352,264,49,60,58,56,35,34])).
% 8.63/8.77 cnf(423,plain,
% 8.63/8.77 (P4(x4231,f2(x4231,f1(x4232)),f16(x4231,a8))),
% 8.63/8.77 inference(scs_inference,[],[70,48,46,68,47,131,216,221,329,386,73,177,352,264,49,60,58,56,35,34,33,30])).
% 8.63/8.77 cnf(425,plain,
% 8.63/8.77 (P4(f13(f1(x4251),f1(a8)),f2(a8,x4252),f16(a8,x4252))),
% 8.63/8.77 inference(scs_inference,[],[70,48,46,68,47,131,140,216,221,329,386,73,177,352,264,49,60,58,56,35,34,33,30,28])).
% 8.63/8.77 cnf(426,plain,
% 8.63/8.77 (P2(f15(a8,x4261),f7(f1(x4262),x4261))),
% 8.63/8.77 inference(scs_inference,[],[70,48,46,42,68,47,131,140,216,221,83,329,386,73,177,352,264,49,60,58,56,35,34,33,30,28,31])).
% 8.63/8.77 cnf(427,plain,
% 8.63/8.77 (P2(f15(x4271,x4272),f7(x4271,x4272))),
% 8.63/8.77 inference(rename_variables,[],[42])).
% 8.63/8.77 cnf(430,plain,
% 8.63/8.77 (P2(f15(x4301,x4302),f12(f15(x4301,x4302)))),
% 8.63/8.77 inference(scs_inference,[],[70,48,46,42,427,68,47,45,66,131,140,333,216,221,83,329,386,73,177,352,264,49,60,58,56,35,34,33,30,28,31,29,32])).
% 8.63/8.77 cnf(431,plain,
% 8.63/8.77 (E(f7(x4311,x4312),f12(f15(x4311,x4312)))),
% 8.63/8.77 inference(rename_variables,[],[333])).
% 8.63/8.77 cnf(432,plain,
% 8.63/8.77 (E(f12(f15(x4321,x4322)),f7(x4321,x4322))),
% 8.63/8.77 inference(scs_inference,[],[70,48,46,42,427,68,47,45,66,131,140,333,431,216,221,83,329,386,73,177,352,264,49,60,58,56,35,34,33,30,28,31,29,32,2])).
% 8.63/8.77 cnf(433,plain,
% 8.63/8.77 (~E(f5(x4331),f16(x4332,f1(x4333)))),
% 8.63/8.77 inference(scs_inference,[],[70,48,46,42,427,68,47,45,66,131,140,333,431,216,221,83,329,231,386,73,177,352,264,49,60,58,56,35,34,33,30,28,31,29,32,2,3])).
% 8.63/8.77 cnf(435,plain,
% 8.63/8.77 (~E(f14(x4351,f5(x4351)),f7(x4352,x4353))),
% 8.63/8.77 inference(scs_inference,[],[70,48,46,42,427,68,47,45,66,131,140,333,431,392,216,221,83,329,231,386,73,177,352,264,223,49,60,58,56,35,34,33,30,28,31,29,32,2,3,27])).
% 8.63/8.77 cnf(436,plain,
% 8.63/8.77 (~P1(f15(x4361,x4362))+~P4(x4363,f7(x4361,x4362),f1(x4364))),
% 8.63/8.77 inference(scs_inference,[],[70,48,46,42,427,68,47,45,66,131,140,333,431,392,216,221,83,329,231,386,73,177,352,264,223,97,49,60,58,56,35,34,33,30,28,31,29,32,2,3,27,63])).
% 8.63/8.77 cnf(438,plain,
% 8.63/8.77 (P4(x4381,f1(x4382),f14(x4381,a8))),
% 8.63/8.77 inference(scs_inference,[],[332,60])).
% 8.63/8.77 cnf(440,plain,
% 8.63/8.77 (~P2(f6(x4401,x4402),f2(x4403,a8))),
% 8.63/8.77 inference(scs_inference,[],[64,86,332,40,60,58])).
% 8.63/8.77 cnf(447,plain,
% 8.63/8.77 (P4(f1(x4471),f2(f1(x4471),x4472),f16(a8,x4472))),
% 8.63/8.77 inference(scs_inference,[],[42,64,71,47,432,86,332,40,60,58,56,30])).
% 8.63/8.77 cnf(449,plain,
% 8.63/8.77 (P4(x4491,f2(x4491,x4492),f16(x4491,x4492))),
% 8.63/8.77 inference(rename_variables,[],[47])).
% 8.63/8.77 cnf(450,plain,
% 8.63/8.77 (~E(f16(x4501,a8),f3(x4502,f5(x4502)))),
% 8.63/8.77 inference(scs_inference,[],[42,64,71,47,449,406,432,86,332,138,144,40,60,58,56,30,63])).
% 8.63/8.77 cnf(456,plain,
% 8.63/8.77 (~E(f7(x4561,x4562),f14(x4563,f5(x4563)))),
% 8.63/8.77 inference(scs_inference,[],[42,64,71,43,47,449,406,432,377,86,332,351,138,144,40,60,58,56,30,63,29,32])).
% 8.63/8.77 cnf(458,plain,
% 8.63/8.77 (~E(f1(x4581),f2(x4582,x4583))),
% 8.63/8.77 inference(scs_inference,[],[42,64,71,43,47,449,406,432,377,359,86,332,351,138,144,40,60,58,56,30,63,29,32,2])).
% 8.63/8.77 cnf(462,plain,
% 8.63/8.77 (P1(f3(f13(x4621,a8),f5(x4621)))),
% 8.63/8.77 inference(scs_inference,[],[42,64,71,43,47,449,406,432,377,435,359,210,86,332,340,351,138,144,40,60,58,56,30,63,29,32,2,3,27])).
% 8.63/8.77 cnf(465,plain,
% 8.63/8.77 (E(f16(x4651,x4652),f13(f3(x4651,x4652),x4651))),
% 8.63/8.77 inference(scs_inference,[],[42,64,71,48,43,47,449,406,432,377,435,359,210,86,332,340,351,138,144,40,60,58,56,30,63,29,32,2,3,27,61])).
% 8.63/8.77 cnf(469,plain,
% 8.63/8.77 (P3(x4691,f1(x4692),f13(x4691,a8))),
% 8.63/8.77 inference(scs_inference,[],[42,64,71,48,43,47,449,406,432,377,435,359,210,86,332,338,340,404,351,138,144,40,60,58,56,30,63,29,32,2,3,27,61,62,59])).
% 8.63/8.77 cnf(473,plain,
% 8.63/8.77 (E(f3(x4731,f5(x4732)),f3(x4731,a8))),
% 8.63/8.77 inference(scs_inference,[],[42,64,71,48,43,47,449,406,432,377,435,359,210,86,332,338,340,404,351,207,138,144,40,60,58,56,30,63,29,32,2,3,27,61,62,59,24,23,22])).
% 8.63/8.77 cnf(474,plain,
% 8.63/8.77 (E(f15(f5(x4741),x4742),f15(a8,x4742))),
% 8.63/8.77 inference(scs_inference,[],[42,64,71,48,43,47,449,406,432,377,435,359,210,86,332,338,340,404,351,207,138,144,40,60,58,56,30,63,29,32,2,3,27,61,62,59,24,23,22,13])).
% 8.63/8.77 cnf(475,plain,
% 8.63/8.77 (E(f14(x4751,f5(x4752)),f14(x4751,a8))),
% 8.63/8.77 inference(scs_inference,[],[42,64,71,48,43,47,449,406,432,377,435,359,210,86,332,338,340,404,351,207,138,144,40,60,58,56,30,63,29,32,2,3,27,61,62,59,24,23,22,13,12])).
% 8.63/8.77 cnf(476,plain,
% 8.63/8.77 (E(f7(x4761,x4762),f12(f13(x4761,x4762)))),
% 8.63/8.77 inference(scs_inference,[],[42,64,71,48,43,47,449,406,432,377,435,359,210,86,332,338,340,404,351,207,138,242,144,40,60,58,56,30,63,29,32,2,3,27,61,62,59,24,23,22,13,12,54])).
% 8.63/8.77 cnf(479,plain,
% 8.63/8.77 (E(f13(f5(x4791),x4792),f13(a8,x4792))),
% 8.63/8.77 inference(scs_inference,[],[42,64,71,48,43,47,449,406,432,377,435,359,210,86,332,338,340,404,351,207,138,242,144,40,60,58,56,30,63,29,32,2,3,27,61,62,59,24,23,22,13,12,54,25,18])).
% 8.63/8.77 cnf(481,plain,
% 8.63/8.77 (E(f7(x4811,f5(x4812)),f7(x4811,a8))),
% 8.63/8.77 inference(scs_inference,[],[42,64,71,48,43,47,449,406,432,377,435,359,210,86,332,338,340,404,351,207,138,242,144,40,60,58,56,30,63,29,32,2,3,27,61,62,59,24,23,22,13,12,54,25,18,17,16])).
% 8.63/8.77 cnf(484,plain,
% 8.63/8.77 (E(f13(x4841,f5(x4842)),f13(x4841,a8))),
% 8.63/8.77 inference(scs_inference,[],[42,64,71,48,43,47,449,406,432,377,435,359,210,86,332,338,340,404,351,207,138,242,144,40,60,58,56,30,63,29,32,2,3,27,61,62,59,24,23,22,13,12,54,25,18,17,16,26,20,19])).
% 8.63/8.77 cnf(486,plain,
% 8.63/8.77 (E(f15(x4861,f5(x4862)),f15(x4861,a8))),
% 8.63/8.77 inference(scs_inference,[],[42,64,71,48,43,47,449,406,432,377,435,359,210,86,332,338,340,404,351,207,138,242,144,40,60,58,56,30,63,29,32,2,3,27,61,62,59,24,23,22,13,12,54,25,18,17,16,26,20,19,15,14])).
% 8.63/8.77 cnf(488,plain,
% 8.63/8.77 (E(f2(x4881,f5(x4882)),f2(x4881,a8))),
% 8.63/8.77 inference(scs_inference,[],[42,64,71,48,43,47,449,406,432,377,435,359,210,86,332,338,340,404,351,207,138,242,144,40,60,58,56,30,63,29,32,2,3,27,61,62,59,24,23,22,13,12,54,25,18,17,16,26,20,19,15,14,11,10])).
% 8.63/8.77 cnf(489,plain,
% 8.63/8.77 (E(f2(f5(x4891),x4892),f2(a8,x4892))),
% 8.63/8.77 inference(scs_inference,[],[42,64,71,48,43,47,449,406,432,377,435,359,210,86,332,338,340,404,351,207,138,242,144,40,60,58,56,30,63,29,32,2,3,27,61,62,59,24,23,22,13,12,54,25,18,17,16,26,20,19,15,14,11,10,9])).
% 8.63/8.77 cnf(491,plain,
% 8.63/8.77 (E(f5(f5(x4911)),f5(a8))),
% 8.63/8.77 inference(scs_inference,[],[42,64,71,48,43,47,449,406,432,377,435,359,210,86,332,338,340,404,351,207,138,242,144,40,60,58,56,30,63,29,32,2,3,27,61,62,59,24,23,22,13,12,54,25,18,17,16,26,20,19,15,14,11,10,9,8,6])).
% 8.63/8.77 cnf(492,plain,
% 8.63/8.77 (E(f4(f5(x4921)),f4(a8))),
% 8.63/8.77 inference(scs_inference,[],[42,64,71,48,43,47,449,406,432,377,435,359,210,86,332,338,340,404,351,207,138,242,144,40,60,58,56,30,63,29,32,2,3,27,61,62,59,24,23,22,13,12,54,25,18,17,16,26,20,19,15,14,11,10,9,8,6,5])).
% 8.63/8.77 cnf(495,plain,
% 8.63/8.77 (P2(a8,f12(f5(x4951)))),
% 8.63/8.77 inference(scs_inference,[],[42,64,71,48,43,47,449,406,432,377,435,359,210,86,332,338,340,404,351,207,138,242,144,40,60,58,56,30,63,29,32,2,3,27,61,62,59,24,23,22,13,12,54,25,18,17,16,26,20,19,15,14,11,10,9,8,6,5,4,21,53])).
% 8.63/8.77 cnf(499,plain,
% 8.63/8.77 (P2(f15(f1(x4991),x4992),f7(a8,x4992))),
% 8.63/8.77 inference(scs_inference,[],[42,64,71,48,43,47,449,406,432,377,435,359,416,210,86,331,332,338,340,404,351,207,138,242,144,40,60,58,56,30,63,29,32,2,3,27,61,62,59,24,23,22,13,12,54,25,18,17,16,26,20,19,15,14,11,10,9,8,6,5,4,21,53,49,31])).
% 8.63/8.77 cnf(502,plain,
% 8.63/8.77 (~P4(x5021,f5(x5021),f7(x5022,x5023))),
% 8.63/8.77 inference(scs_inference,[],[456,62])).
% 8.63/8.77 cnf(510,plain,
% 8.63/8.77 (P4(x5101,x5102,f3(x5101,x5102))),
% 8.63/8.77 inference(rename_variables,[],[45])).
% 8.63/8.77 cnf(516,plain,
% 8.63/8.77 (P2(f15(x5161,f1(x5162)),f7(x5161,a8))),
% 8.63/8.77 inference(scs_inference,[],[42,45,510,456,462,348,440,210,386,62,53,56,63,30,31])).
% 8.63/8.77 cnf(517,plain,
% 8.63/8.77 (P2(f15(x5171,x5172),f7(x5171,x5172))),
% 8.63/8.77 inference(rename_variables,[],[42])).
% 8.63/8.77 cnf(520,plain,
% 8.63/8.77 (P2(f15(x5201,x5202),f12(f13(x5201,x5202)))),
% 8.63/8.77 inference(scs_inference,[],[42,517,45,510,476,456,462,348,481,440,210,386,268,62,53,56,63,30,31,29,32])).
% 8.63/8.77 cnf(522,plain,
% 8.63/8.77 (E(f13(f3(x5221,x5222),x5221),f16(x5221,x5222))),
% 8.63/8.77 inference(scs_inference,[],[42,517,45,510,465,476,456,462,348,481,440,210,386,268,62,53,56,63,30,31,29,32,2])).
% 8.63/8.77 cnf(526,plain,
% 8.63/8.77 (P1(f3(f1(x5261),f5(a8)))),
% 8.63/8.77 inference(scs_inference,[],[42,517,71,70,45,510,465,476,456,462,346,348,481,440,210,386,268,406,62,53,56,63,30,31,29,32,2,3,27])).
% 8.63/8.77 cnf(529,plain,
% 8.63/8.77 (E(f3(f1(x5291),x5292),f14(a8,x5292))),
% 8.63/8.77 inference(scs_inference,[],[267,62])).
% 8.63/8.77 cnf(533,plain,
% 8.63/8.77 (~P2(f14(x5331,f5(x5331)),f5(x5331))),
% 8.63/8.77 inference(scs_inference,[],[43,499,526,267,323,392,62,56,63])).
% 8.63/8.77 cnf(535,plain,
% 8.63/8.77 (P4(x5351,f5(x5351),f4(x5351))),
% 8.63/8.77 inference(rename_variables,[],[43])).
% 8.63/8.77 cnf(539,plain,
% 8.63/8.77 (P4(a8,f5(a8),f4(f1(x5391)))),
% 8.63/8.77 inference(scs_inference,[],[43,535,484,499,311,526,343,267,323,392,62,56,63,31,30])).
% 8.63/8.77 cnf(541,plain,
% 8.63/8.77 (P4(x5411,f6(x5412,x5413),f3(x5411,f6(x5414,x5413)))),
% 8.63/8.77 inference(scs_inference,[],[43,535,45,394,484,499,311,526,343,267,323,392,62,56,63,31,30,29])).
% 8.63/8.77 cnf(543,plain,
% 8.63/8.77 (P2(f15(x5431,a8),f7(f13(x5431,a8),f1(x5432)))),
% 8.63/8.77 inference(scs_inference,[],[43,535,45,394,212,383,484,499,311,526,343,267,323,392,62,56,63,31,30,29,32])).
% 8.63/8.77 cnf(545,plain,
% 8.63/8.77 (~E(f16(x5451,f1(x5452)),f5(x5453))),
% 8.63/8.77 inference(scs_inference,[],[43,535,45,394,433,212,383,484,499,311,526,343,267,323,392,62,56,63,31,30,29,32,2])).
% 8.63/8.77 cnf(551,plain,
% 8.63/8.77 (~P2(x5511,f14(x5512,a8))),
% 8.63/8.77 inference(scs_inference,[],[475,392,56])).
% 8.63/8.77 cnf(552,plain,
% 8.63/8.77 (P1(f14(x5521,f5(x5521)))),
% 8.63/8.77 inference(rename_variables,[],[392])).
% 8.63/8.77 cnf(553,plain,
% 8.63/8.77 (E(f14(x5531,f5(x5532)),f14(x5531,a8))),
% 8.63/8.77 inference(rename_variables,[],[475])).
% 8.63/8.77 cnf(557,plain,
% 8.63/8.77 (P1(f14(x5571,f5(x5571)))),
% 8.63/8.77 inference(rename_variables,[],[392])).
% 8.63/8.77 cnf(559,plain,
% 8.63/8.77 (P2(f13(x5591,x5592),f13(x5591,f6(x5591,x5592)))),
% 8.63/8.77 inference(scs_inference,[],[389,280,475,362,323,203,392,552,56,63,31])).
% 8.63/8.77 cnf(561,plain,
% 8.63/8.77 (P4(x5611,f2(x5611,x5612),f16(f13(x5611,a8),x5612))),
% 8.63/8.77 inference(scs_inference,[],[47,389,189,280,475,362,323,203,392,552,56,63,31,30])).
% 8.63/8.77 cnf(562,plain,
% 8.63/8.77 (E(f16(x5621,x5622),f16(f13(x5621,a8),x5622))),
% 8.63/8.77 inference(rename_variables,[],[189])).
% 8.63/8.77 cnf(563,plain,
% 8.63/8.77 (P4(f5(x5631),f5(a8),f4(f5(x5631)))),
% 8.63/8.77 inference(scs_inference,[],[43,47,389,189,280,475,491,362,323,203,392,552,56,63,31,30,29])).
% 8.63/8.77 cnf(564,plain,
% 8.63/8.77 (P4(x5641,f5(x5641),f4(x5641))),
% 8.63/8.77 inference(rename_variables,[],[43])).
% 8.63/8.77 cnf(565,plain,
% 8.63/8.77 (~E(f13(x5651,f6(x5651,x5652)),f1(x5653))),
% 8.63/8.77 inference(scs_inference,[],[43,47,389,189,280,475,491,315,362,323,203,392,552,56,63,31,30,29,32])).
% 8.63/8.77 cnf(568,plain,
% 8.63/8.77 (~E(f12(f1(x5681)),f4(x5682))),
% 8.63/8.77 inference(scs_inference,[],[43,47,68,389,271,189,562,280,475,491,315,362,323,203,392,552,56,63,31,30,29,32,2,3])).
% 8.63/8.77 cnf(570,plain,
% 8.63/8.77 (E(f6(x5701,x5702),f12(x5702))),
% 8.63/8.77 inference(rename_variables,[],[68])).
% 8.63/8.77 cnf(571,plain,
% 8.63/8.77 (P1(f14(x5711,a8))),
% 8.63/8.77 inference(scs_inference,[],[43,47,68,389,271,189,562,280,475,553,491,315,362,323,203,392,552,557,56,63,31,30,29,32,2,3,27])).
% 8.63/8.77 cnf(574,plain,
% 8.63/8.77 (P3(x5741,f12(x5742),f15(x5741,f6(x5743,x5742)))),
% 8.63/8.77 inference(scs_inference,[],[43,44,47,68,570,389,271,189,562,280,475,553,491,315,362,323,203,392,552,557,56,63,31,30,29,32,2,3,27,34])).
% 8.63/8.77 cnf(575,plain,
% 8.63/8.77 (P3(x5751,x5752,f15(x5751,x5752))),
% 8.63/8.77 inference(rename_variables,[],[44])).
% 8.63/8.77 cnf(576,plain,
% 8.63/8.77 (P3(f12(x5761),x5762,f15(f6(x5763,x5761),x5762))),
% 8.63/8.77 inference(scs_inference,[],[43,44,575,47,68,570,389,271,189,562,280,475,553,491,315,362,323,203,392,552,557,56,63,31,30,29,32,2,3,27,34,33])).
% 8.63/8.77 cnf(578,plain,
% 8.63/8.77 (P3(f3(f1(x5781),x5782),f1(x5781),f16(a8,x5782))),
% 8.63/8.77 inference(scs_inference,[],[43,71,44,575,48,47,68,570,389,271,189,562,280,475,553,491,315,362,323,203,392,552,557,56,63,31,30,29,32,2,3,27,34,33,35])).
% 8.63/8.77 cnf(581,plain,
% 8.63/8.77 (P4(f13(x5811,f1(x5811)),f5(x5811),f4(x5811))),
% 8.63/8.77 inference(scs_inference,[],[43,564,71,44,575,48,47,68,570,389,271,189,562,280,475,553,491,315,362,323,203,392,552,557,95,56,63,31,30,29,32,2,3,27,34,33,35,28])).
% 8.63/8.77 cnf(583,plain,
% 8.63/8.77 (P1(f3(x5831,a8))),
% 8.63/8.77 inference(scs_inference,[],[43,564,71,44,575,48,47,68,570,389,271,189,562,280,475,553,491,315,362,323,203,392,552,557,95,56,63,31,30,29,32,2,3,27,34,33,35,28,220])).
% 8.63/8.77 cnf(588,plain,
% 8.63/8.77 (~E(f14(x5881,a8),f12(x5882))),
% 8.63/8.77 inference(scs_inference,[],[551,53])).
% 8.63/8.77 cnf(590,plain,
% 8.63/8.77 (E(f15(x5901,a8),x5901)),
% 8.63/8.77 inference(scs_inference,[],[520,551,361,291,53,58])).
% 8.63/8.77 cnf(591,plain,
% 8.63/8.77 (P2(f15(x5911,x5912),f12(f13(x5911,x5912)))),
% 8.63/8.77 inference(rename_variables,[],[520])).
% 8.63/8.77 cnf(592,plain,
% 8.63/8.77 (E(f12(x5921),f6(x5922,x5921))),
% 8.63/8.77 inference(rename_variables,[],[361])).
% 8.63/8.77 cnf(596,plain,
% 8.63/8.77 (P3(f5(x5961),x5962,f15(a8,x5962))),
% 8.63/8.77 inference(scs_inference,[],[44,48,66,398,520,75,474,551,361,291,53,58,33,34,35])).
% 8.63/8.77 cnf(600,plain,
% 8.63/8.77 (~P1(f12(f1(x6001)))),
% 8.63/8.77 inference(scs_inference,[],[44,73,48,66,398,522,520,371,75,474,551,361,291,221,53,58,33,34,35,28,56])).
% 8.63/8.77 cnf(603,plain,
% 8.63/8.77 (P2(f15(a8,a8),f7(f1(x6031),f5(x6032)))),
% 8.63/8.77 inference(scs_inference,[],[44,73,48,66,398,522,520,371,75,426,474,486,551,361,291,221,53,58,33,34,35,28,56,31])).
% 8.63/8.77 cnf(606,plain,
% 8.63/8.77 (~E(f3(x6061,f5(x6061)),f7(x6062,x6063))),
% 8.63/8.77 inference(scs_inference,[],[44,73,48,66,45,398,522,520,502,371,75,426,474,486,551,361,291,221,53,58,33,34,35,28,56,31,30])).
% 8.63/8.77 cnf(611,plain,
% 8.63/8.77 (P2(f15(x6111,x6112),f6(x6113,f13(x6111,x6112)))),
% 8.63/8.77 inference(scs_inference,[],[44,73,48,66,45,398,522,520,591,502,371,75,88,426,474,486,551,361,592,291,221,293,53,58,33,34,35,28,56,31,30,29,32])).
% 8.63/8.77 cnf(612,plain,
% 8.63/8.77 (E(f12(x6121),f6(x6122,x6121))),
% 8.63/8.77 inference(rename_variables,[],[361])).
% 8.63/8.77 cnf(613,plain,
% 8.63/8.77 (~E(f1(x6131),f13(x6132,f6(x6132,x6133)))),
% 8.63/8.77 inference(scs_inference,[],[44,73,48,66,45,398,522,520,591,502,565,371,75,88,426,474,486,551,361,592,291,221,293,53,58,33,34,35,28,56,31,30,29,32,2])).
% 8.63/8.77 cnf(616,plain,
% 8.63/8.77 (P1(f3(x6161,f1(x6162)))),
% 8.63/8.77 inference(scs_inference,[],[44,73,48,66,45,398,522,520,591,502,565,371,75,88,328,426,474,486,551,583,361,592,612,291,221,293,53,58,33,34,35,28,56,31,30,29,32,2,3,27])).
% 8.63/8.77 cnf(618,plain,
% 8.63/8.77 (E(f7(x6181,x6182),f13(x6181,f12(x6182)))),
% 8.63/8.77 inference(scs_inference,[],[44,73,48,66,45,398,522,421,520,591,502,565,371,75,88,328,426,474,486,551,583,361,592,612,291,221,293,53,58,33,34,35,28,56,31,30,29,32,2,3,27,61])).
% 8.63/8.77 cnf(622,plain,
% 8.63/8.77 (E(f6(x6221,f13(x6222,a8)),f12(x6222))),
% 8.63/8.77 inference(scs_inference,[],[44,73,48,66,45,398,522,421,520,591,502,565,371,75,88,328,426,474,479,486,551,583,361,592,612,291,221,293,53,58,33,34,35,28,56,31,30,29,32,2,3,27,61,59,54])).
% 8.63/8.77 cnf(625,plain,
% 8.63/8.77 (E(f12(f15(x6251,a8)),f12(x6251))),
% 8.63/8.77 inference(scs_inference,[],[44,73,48,66,45,398,522,421,520,591,502,565,371,75,88,328,426,474,479,486,551,583,361,592,612,291,221,293,53,58,33,34,35,28,56,31,30,29,32,2,3,27,61,59,54,24,23])).
% 8.63/8.77 cnf(626,plain,
% 8.63/8.77 (E(f14(x6261,f15(x6262,a8)),f14(x6261,x6262))),
% 8.63/8.77 inference(scs_inference,[],[44,73,48,66,45,398,522,421,520,591,502,565,371,75,88,328,426,474,479,486,551,583,361,592,612,291,221,293,53,58,33,34,35,28,56,31,30,29,32,2,3,27,61,59,54,24,23,12])).
% 8.63/8.77 cnf(627,plain,
% 8.63/8.77 (E(f3(x6271,f15(x6272,a8)),f3(x6271,x6272))),
% 8.63/8.77 inference(scs_inference,[],[44,73,48,66,45,398,522,421,520,591,502,565,371,75,88,328,426,474,479,486,551,583,361,592,612,291,221,293,53,58,33,34,35,28,56,31,30,29,32,2,3,27,61,59,54,24,23,12,22])).
% 8.63/8.77 cnf(628,plain,
% 8.63/8.77 (E(f15(f15(x6281,a8),x6282),f15(x6281,x6282))),
% 8.63/8.77 inference(scs_inference,[],[44,73,48,66,45,398,522,421,520,591,502,565,371,75,88,328,426,474,479,486,551,583,361,592,612,291,221,293,53,58,33,34,35,28,56,31,30,29,32,2,3,27,61,59,54,24,23,12,22,13])).
% 8.63/8.77 cnf(629,plain,
% 8.63/8.77 (E(f16(x6291,f15(x6292,a8)),f16(x6291,x6292))),
% 8.63/8.77 inference(scs_inference,[],[44,73,48,66,45,398,522,421,520,591,502,565,371,75,88,328,426,474,479,486,551,583,361,592,612,291,221,293,53,58,33,34,35,28,56,31,30,29,32,2,3,27,61,59,54,24,23,12,22,13,26])).
% 8.63/8.77 cnf(631,plain,
% 8.63/8.77 (E(f13(f15(x6311,a8),x6312),f13(x6311,x6312))),
% 8.63/8.77 inference(scs_inference,[],[44,73,48,66,45,398,522,421,520,591,502,565,371,75,88,328,426,474,479,486,551,583,361,592,612,291,221,293,53,58,33,34,35,28,56,31,30,29,32,2,3,27,61,59,54,24,23,12,22,13,26,25,18])).
% 8.63/8.77 cnf(633,plain,
% 8.63/8.77 (E(f7(x6331,f15(x6332,a8)),f7(x6331,x6332))),
% 8.63/8.77 inference(scs_inference,[],[44,73,48,66,45,398,522,421,520,591,502,565,371,75,88,328,426,474,479,486,551,583,361,592,612,291,221,293,53,58,33,34,35,28,56,31,30,29,32,2,3,27,61,59,54,24,23,12,22,13,26,25,18,17,16])).
% 8.63/8.77 cnf(634,plain,
% 8.63/8.77 (E(f7(f15(x6341,a8),x6342),f7(x6341,x6342))),
% 8.63/8.77 inference(scs_inference,[],[44,73,48,66,45,398,522,421,520,591,502,565,371,75,88,328,426,474,479,486,551,583,361,592,612,291,221,293,53,58,33,34,35,28,56,31,30,29,32,2,3,27,61,59,54,24,23,12,22,13,26,25,18,17,16,15])).
% 8.63/8.77 cnf(635,plain,
% 8.63/8.77 (E(f2(x6351,f15(x6352,a8)),f2(x6351,x6352))),
% 8.63/8.77 inference(scs_inference,[],[44,73,48,66,45,398,522,421,520,591,502,565,371,75,88,328,426,474,479,486,551,583,361,592,612,291,221,293,53,58,33,34,35,28,56,31,30,29,32,2,3,27,61,59,54,24,23,12,22,13,26,25,18,17,16,15,10])).
% 8.63/8.77 cnf(636,plain,
% 8.63/8.77 (E(f6(x6361,f15(x6362,a8)),f6(x6361,x6362))),
% 8.63/8.77 inference(scs_inference,[],[44,73,48,66,45,398,522,421,520,591,502,565,371,75,88,328,426,474,479,486,551,583,361,592,612,291,221,293,53,58,33,34,35,28,56,31,30,29,32,2,3,27,61,59,54,24,23,12,22,13,26,25,18,17,16,15,10,8])).
% 8.63/8.77 cnf(637,plain,
% 8.63/8.77 (E(f5(f15(x6371,a8)),f5(x6371))),
% 8.63/8.77 inference(scs_inference,[],[44,73,48,66,45,398,522,421,520,591,502,565,371,75,88,328,426,474,479,486,551,583,361,592,612,291,221,293,53,58,33,34,35,28,56,31,30,29,32,2,3,27,61,59,54,24,23,12,22,13,26,25,18,17,16,15,10,8,6])).
% 8.63/8.77 cnf(638,plain,
% 8.63/8.77 (E(f4(f15(x6381,a8)),f4(x6381))),
% 8.63/8.77 inference(scs_inference,[],[44,73,48,66,45,398,522,421,520,591,502,565,371,75,88,328,426,474,479,486,551,583,361,592,612,291,221,293,53,58,33,34,35,28,56,31,30,29,32,2,3,27,61,59,54,24,23,12,22,13,26,25,18,17,16,15,10,8,6,5])).
% 8.63/8.77 cnf(642,plain,
% 8.63/8.77 (E(f13(x6421,f15(x6422,a8)),f13(x6421,x6422))),
% 8.63/8.77 inference(scs_inference,[],[44,73,48,66,45,398,522,421,520,591,502,565,371,75,88,328,426,474,479,486,551,583,361,592,612,291,221,293,53,58,33,34,35,28,56,31,30,29,32,2,3,27,61,59,54,24,23,12,22,13,26,25,18,17,16,15,10,8,6,5,4,21,20,19])).
% 8.63/8.77 cnf(643,plain,
% 8.63/8.77 (E(f15(x6431,f15(x6432,a8)),f15(x6431,x6432))),
% 8.63/8.77 inference(scs_inference,[],[44,73,48,66,45,398,522,421,520,591,502,565,371,75,88,328,426,474,479,486,551,583,361,592,612,291,221,293,53,58,33,34,35,28,56,31,30,29,32,2,3,27,61,59,54,24,23,12,22,13,26,25,18,17,16,15,10,8,6,5,4,21,20,19,14])).
% 8.63/8.77 cnf(644,plain,
% 8.63/8.77 (E(f14(f15(x6441,a8),x6442),f14(x6441,x6442))),
% 8.63/8.77 inference(scs_inference,[],[44,73,48,66,45,398,522,421,520,591,502,565,371,75,88,328,426,474,479,486,551,583,361,592,612,291,221,293,53,58,33,34,35,28,56,31,30,29,32,2,3,27,61,59,54,24,23,12,22,13,26,25,18,17,16,15,10,8,6,5,4,21,20,19,14,11])).
% 8.63/8.77 cnf(645,plain,
% 8.63/8.77 (E(f2(f15(x6451,a8),x6452),f2(x6451,x6452))),
% 8.63/8.77 inference(scs_inference,[],[44,73,48,66,45,398,522,421,520,591,502,565,371,75,88,328,426,474,479,486,551,583,361,592,612,291,221,293,53,58,33,34,35,28,56,31,30,29,32,2,3,27,61,59,54,24,23,12,22,13,26,25,18,17,16,15,10,8,6,5,4,21,20,19,14,11,9])).
% 8.63/8.77 cnf(653,plain,
% 8.63/8.77 (~P3(x6531,f6(x6531,x6532),f1(x6533))),
% 8.63/8.77 inference(scs_inference,[],[613,61])).
% 8.63/8.77 cnf(655,plain,
% 8.63/8.77 (P1(f15(a8,a8))),
% 8.63/8.77 inference(scs_inference,[],[613,590,61,49])).
% 8.63/8.77 cnf(658,plain,
% 8.63/8.77 (P2(x6581,f12(f15(x6581,a8)))),
% 8.63/8.77 inference(scs_inference,[],[613,625,590,61,49,53])).
% 8.63/8.77 cnf(660,plain,
% 8.63/8.77 (~P1(f13(f15(x6601,a8),f6(x6601,x6602)))),
% 8.63/8.77 inference(scs_inference,[],[559,613,631,625,590,61,49,53,56])).
% 8.63/8.77 cnf(666,plain,
% 8.63/8.77 (P2(a8,f12(a8))),
% 8.63/8.77 inference(scs_inference,[],[73,45,559,613,627,631,625,590,103,61,49,53,56,30,32])).
% 8.63/8.77 cnf(668,plain,
% 8.63/8.77 (P4(x6681,f2(x6681,x6682),f16(x6681,f15(x6682,a8)))),
% 8.63/8.77 inference(scs_inference,[],[73,47,45,559,613,627,631,635,625,590,103,61,49,53,56,30,32,29])).
% 8.63/8.77 cnf(671,plain,
% 8.63/8.77 (E(f13(x6711,f12(x6712)),f7(x6711,x6712))),
% 8.63/8.77 inference(scs_inference,[],[73,47,45,559,618,613,627,631,635,625,590,103,61,49,53,56,30,32,29,2])).
% 8.63/8.77 cnf(675,plain,
% 8.63/8.77 (~P4(x6751,f7(a8,a8),f1(x6752))),
% 8.63/8.77 inference(scs_inference,[],[73,47,68,45,559,618,613,616,627,631,635,625,590,588,122,103,61,49,53,56,30,32,29,2,3,27,436])).
% 8.63/8.77 cnf(685,plain,
% 8.63/8.77 (~P4(x6851,f7(a8,a8),f5(x6852))),
% 8.63/8.77 inference(scs_inference,[],[72,64,73,47,68,45,559,618,613,616,627,631,635,644,625,305,590,588,571,122,103,61,49,53,56,30,32,29,2,3,27,436,60,58,63,246])).
% 8.63/8.77 cnf(687,plain,
% 8.63/8.77 (E(f15(x6871,f13(x6872,a8)),f13(x6871,x6872))),
% 8.63/8.77 inference(scs_inference,[],[261,61])).
% 8.63/8.77 cnf(691,plain,
% 8.63/8.77 (E(f13(f1(x6911),a8),a8)),
% 8.63/8.77 inference(scs_inference,[],[73,600,261,666,221,61,49,58])).
% 8.63/8.77 cnf(694,plain,
% 8.63/8.77 (P4(x6941,x6942,f14(x6941,f15(x6942,a8)))),
% 8.63/8.77 inference(scs_inference,[],[73,600,261,626,666,221,61,49,58,60])).
% 8.63/8.77 cnf(696,plain,
% 8.63/8.77 (~E(f14(x6961,f5(x6961)),f12(x6962))),
% 8.63/8.77 inference(scs_inference,[],[73,600,261,626,666,377,221,61,49,58,60,53])).
% 8.63/8.77 cnf(698,plain,
% 8.63/8.77 (~P2(x6981,f3(x6982,a8))),
% 8.63/8.77 inference(scs_inference,[],[74,73,600,261,626,666,377,616,221,61,49,58,60,53,56])).
% 8.63/8.77 cnf(699,plain,
% 8.63/8.77 (E(f3(x6991,f1(x6992)),f3(x6991,a8))),
% 8.63/8.77 inference(rename_variables,[],[74])).
% 8.63/8.77 cnf(703,plain,
% 8.63/8.77 (P4(x7031,f1(x7032),f3(x7031,a8))),
% 8.63/8.77 inference(scs_inference,[],[45,74,699,73,600,261,626,642,666,377,311,616,221,61,49,58,60,53,56,31,30])).
% 8.63/8.77 cnf(706,plain,
% 8.63/8.77 (~E(f12(f15(x7061,x7062)),f14(x7063,a8))),
% 8.63/8.77 inference(scs_inference,[],[45,74,699,73,430,600,261,626,642,666,377,311,551,616,221,61,49,58,60,53,56,31,30,32])).
% 8.63/8.77 cnf(708,plain,
% 8.63/8.77 (P4(f15(x7081,a8),f2(x7081,x7082),f16(f15(x7081,a8),x7082))),
% 8.63/8.77 inference(scs_inference,[],[45,74,699,73,47,430,600,261,626,642,645,666,377,311,551,616,221,61,49,58,60,53,56,31,30,32,29])).
% 8.63/8.77 cnf(710,plain,
% 8.63/8.77 (~E(f7(x7101,x7102),f3(x7103,f5(x7103)))),
% 8.63/8.77 inference(scs_inference,[],[45,74,699,73,47,430,606,600,261,626,642,645,666,377,311,551,616,221,61,49,58,60,53,56,31,30,32,29,2])).
% 8.63/8.77 cnf(714,plain,
% 8.63/8.77 (P1(f15(f13(a8,a8),a8))),
% 8.63/8.77 inference(scs_inference,[],[45,74,699,73,47,430,606,600,261,626,642,645,473,655,666,377,197,311,551,616,221,61,49,58,60,53,56,31,30,32,29,2,3,27])).
% 8.63/8.77 cnf(716,plain,
% 8.63/8.77 (E(f14(x7161,a8),a8)),
% 8.63/8.77 inference(scs_inference,[],[45,74,699,73,47,430,606,600,261,626,642,645,473,655,666,377,197,311,571,551,616,221,61,49,58,60,53,56,31,30,32,29,2,3,27,50])).
% 8.63/8.77 cnf(724,plain,
% 8.63/8.77 (~P4(x7241,a8,f12(f15(x7242,x7243)))),
% 8.63/8.77 inference(scs_inference,[],[706,62])).
% 8.63/8.77 cnf(726,plain,
% 8.63/8.77 (P1(f13(f1(x7261),a8))),
% 8.63/8.77 inference(scs_inference,[],[706,691,62,49])).
% 8.63/8.77 cnf(728,plain,
% 8.63/8.77 (E(f15(f15(x7281,a8),a8),x7281)),
% 8.63/8.77 inference(scs_inference,[],[611,622,658,706,691,62,49,58])).
% 8.63/8.77 cnf(729,plain,
% 8.63/8.77 (P2(f15(x7291,x7292),f6(x7293,f13(x7291,x7292)))),
% 8.63/8.77 inference(rename_variables,[],[611])).
% 8.63/8.77 cnf(734,plain,
% 8.63/8.77 (P2(x7341,f15(f12(x7341),a8))),
% 8.63/8.77 inference(scs_inference,[],[611,685,622,658,706,691,590,62,49,58,60,53])).
% 8.63/8.77 cnf(740,plain,
% 8.63/8.77 (P2(x7401,f12(f15(x7401,a8)))),
% 8.63/8.77 inference(rename_variables,[],[658])).
% 8.63/8.77 cnf(742,plain,
% 8.63/8.77 (P2(f1(x7421),f12(f15(a8,a8)))),
% 8.63/8.77 inference(scs_inference,[],[66,611,729,685,622,658,740,706,691,590,583,97,296,62,49,58,60,53,56,63,31])).
% 8.63/8.77 cnf(743,plain,
% 8.63/8.77 (P2(x7431,f12(f15(x7431,a8)))),
% 8.63/8.77 inference(rename_variables,[],[658])).
% 8.63/8.77 cnf(745,plain,
% 8.63/8.77 (~P4(x7451,f7(a8,a8),f5(x7452))),
% 8.63/8.77 inference(rename_variables,[],[685])).
% 8.63/8.77 cnf(747,plain,
% 8.63/8.77 (P2(x7471,f7(x7471,a8))),
% 8.63/8.77 inference(scs_inference,[],[45,66,611,729,685,622,658,740,743,706,691,432,590,583,97,296,62,49,58,60,53,56,63,31,30,32])).
% 8.63/8.77 cnf(751,plain,
% 8.63/8.77 (E(f13(x7511,f12(x7512)),f7(x7511,x7512))),
% 8.63/8.77 inference(rename_variables,[],[671])).
% 8.63/8.77 cnf(753,plain,
% 8.63/8.77 (E(f6(x7531,f1(x7532)),f12(a8))),
% 8.63/8.77 inference(scs_inference,[],[45,73,68,66,671,611,729,685,745,209,622,658,740,743,706,691,432,590,583,97,296,62,49,58,60,53,56,63,31,30,32,29,2,3])).
% 8.63/8.77 cnf(755,plain,
% 8.63/8.77 (~P1(f13(x7551,f12(x7552)))),
% 8.63/8.77 inference(scs_inference,[],[45,73,68,66,671,751,611,729,685,745,209,622,658,740,743,706,691,432,590,583,223,97,296,62,49,58,60,53,56,63,31,30,32,29,2,3,27])).
% 8.63/8.77 cnf(757,plain,
% 8.63/8.77 (~P4(x7571,a8,f6(x7572,f15(x7573,x7574)))),
% 8.63/8.77 inference(scs_inference,[],[45,73,68,66,671,751,611,729,685,745,209,622,658,740,743,706,691,432,590,583,223,97,296,62,49,58,60,53,56,63,31,30,32,29,2,3,27,368])).
% 8.63/8.77 cnf(758,plain,
% 8.63/8.77 (E(f3(x7581,a8),f14(x7581,f1(x7582)))),
% 8.63/8.77 inference(scs_inference,[],[703,62])).
% 8.63/8.77 cnf(762,plain,
% 8.63/8.77 (~P2(f6(x7621,x7622),f12(a8))),
% 8.63/8.77 inference(scs_inference,[],[64,755,742,703,625,62,49,58])).
% 8.63/8.77 cnf(766,plain,
% 8.63/8.77 (P4(x7661,x7662,f14(f15(x7661,a8),x7662))),
% 8.63/8.77 inference(scs_inference,[],[64,755,742,703,644,625,62,49,58,60])).
% 8.63/8.77 cnf(772,plain,
% 8.63/8.77 (P2(f15(x7721,a8),f7(f15(x7721,a8),f1(x7722)))),
% 8.63/8.77 inference(scs_inference,[],[64,755,742,628,714,703,747,698,644,625,383,62,49,58,60,53,56,31])).
% 8.63/8.77 cnf(775,plain,
% 8.63/8.77 (P4(f1(x7751),f13(x7752,f1(x7752)),f3(a8,x7752))),
% 8.63/8.77 inference(scs_inference,[],[75,64,132,755,742,628,714,703,747,698,644,625,383,62,49,58,60,53,56,31,30])).
% 8.63/8.77 cnf(777,plain,
% 8.63/8.77 (~P2(x7771,f3(x7772,f1(x7773)))),
% 8.63/8.77 inference(scs_inference,[],[75,74,64,132,755,742,628,714,703,747,698,644,625,383,62,49,58,60,53,56,31,30,32])).
% 8.63/8.77 cnf(779,plain,
% 8.63/8.77 (P4(f13(x7791,x7792),f12(x7793),f3(f15(x7791,x7792),f6(x7794,x7793)))),
% 8.63/8.77 inference(scs_inference,[],[75,74,64,68,132,244,755,742,628,714,703,747,698,644,625,383,62,49,58,60,53,56,31,30,32,29])).
% 8.63/8.77 cnf(781,plain,
% 8.63/8.77 (~E(f12(x7811),f14(x7812,f5(x7812)))),
% 8.63/8.77 inference(scs_inference,[],[75,74,64,68,132,244,696,755,742,628,714,703,747,698,644,625,383,62,49,58,60,53,56,31,30,32,29,2])).
% 8.63/8.77 cnf(786,plain,
% 8.63/8.77 (P3(f13(x7861,a8),x7862,f13(x7861,x7862))),
% 8.63/8.77 inference(scs_inference,[],[75,74,64,68,132,244,696,710,755,742,628,714,703,747,698,194,644,625,383,278,62,49,58,60,53,56,31,30,32,29,2,3,27,59])).
% 8.63/8.77 cnf(788,plain,
% 8.63/8.77 (E(f7(x7881,a8),f12(x7881))),
% 8.63/8.77 inference(scs_inference,[],[75,74,64,68,132,244,696,710,755,742,628,714,703,747,698,194,644,625,383,278,62,49,58,60,53,56,31,30,32,29,2,3,27,59,54])).
% 8.63/8.77 cnf(791,plain,
% 8.63/8.77 (E(f12(f14(x7911,a8)),f12(a8))),
% 8.63/8.77 inference(scs_inference,[],[75,74,64,68,132,244,696,710,755,742,628,714,703,747,698,716,194,644,625,383,278,62,49,58,60,53,56,31,30,32,29,2,3,27,59,54,24,23])).
% 8.63/8.77 cnf(792,plain,
% 8.63/8.77 (E(f14(x7921,f14(x7922,a8)),f14(x7921,a8))),
% 8.63/8.77 inference(scs_inference,[],[75,74,64,68,132,244,696,710,755,742,628,714,703,747,698,716,194,644,625,383,278,62,49,58,60,53,56,31,30,32,29,2,3,27,59,54,24,23,12])).
% 8.63/8.77 cnf(795,plain,
% 8.63/8.77 (E(f7(x7951,f14(x7952,a8)),f7(x7951,a8))),
% 8.63/8.77 inference(scs_inference,[],[75,74,64,68,132,244,696,710,755,742,628,714,703,747,698,716,194,644,625,383,278,62,49,58,60,53,56,31,30,32,29,2,3,27,59,54,24,23,12,25,22,16])).
% 8.63/8.77 cnf(796,plain,
% 8.63/8.77 (E(f15(f14(x7961,a8),x7962),f15(a8,x7962))),
% 8.63/8.77 inference(scs_inference,[],[75,74,64,68,132,244,696,710,755,742,628,714,703,747,698,716,194,644,625,383,278,62,49,58,60,53,56,31,30,32,29,2,3,27,59,54,24,23,12,25,22,16,13])).
% 8.63/8.77 cnf(798,plain,
% 8.63/8.77 (E(f4(f14(x7981,a8)),f4(a8))),
% 8.63/8.77 inference(scs_inference,[],[75,74,64,68,132,244,696,710,755,742,628,714,703,747,698,716,194,644,625,383,278,62,49,58,60,53,56,31,30,32,29,2,3,27,59,54,24,23,12,25,22,16,13,8,5])).
% 8.63/8.77 cnf(803,plain,
% 8.63/8.77 (E(f13(x8031,f14(x8032,a8)),f13(x8031,a8))),
% 8.63/8.77 inference(scs_inference,[],[75,74,64,68,132,244,696,710,755,742,628,714,703,747,698,716,194,644,625,383,278,62,49,58,60,53,56,31,30,32,29,2,3,27,59,54,24,23,12,25,22,16,13,8,5,4,26,21,20,19])).
% 8.63/8.77 cnf(804,plain,
% 8.63/8.77 (E(f13(f14(x8041,a8),x8042),f13(a8,x8042))),
% 8.63/8.77 inference(scs_inference,[],[75,74,64,68,132,244,696,710,755,742,628,714,703,747,698,716,194,644,625,383,278,62,49,58,60,53,56,31,30,32,29,2,3,27,59,54,24,23,12,25,22,16,13,8,5,4,26,21,20,19,18])).
% 8.63/8.77 cnf(807,plain,
% 8.63/8.77 (E(f15(x8071,f14(x8072,a8)),f15(x8071,a8))),
% 8.63/8.77 inference(scs_inference,[],[75,74,64,68,132,244,696,710,755,742,628,714,703,747,698,716,194,644,625,383,278,62,49,58,60,53,56,31,30,32,29,2,3,27,59,54,24,23,12,25,22,16,13,8,5,4,26,21,20,19,18,17,15,14])).
% 8.63/8.77 cnf(808,plain,
% 8.63/8.77 (E(f14(f14(x8081,a8),x8082),f14(a8,x8082))),
% 8.63/8.77 inference(scs_inference,[],[75,74,64,68,132,244,696,710,755,742,628,714,703,747,698,716,194,644,625,383,278,62,49,58,60,53,56,31,30,32,29,2,3,27,59,54,24,23,12,25,22,16,13,8,5,4,26,21,20,19,18,17,15,14,11])).
% 8.63/8.77 cnf(809,plain,
% 8.63/8.77 (E(f2(x8091,f14(x8092,a8)),f2(x8091,a8))),
% 8.63/8.77 inference(scs_inference,[],[75,74,64,68,132,244,696,710,755,742,628,714,703,747,698,716,194,644,625,383,278,62,49,58,60,53,56,31,30,32,29,2,3,27,59,54,24,23,12,25,22,16,13,8,5,4,26,21,20,19,18,17,15,14,11,10])).
% 8.63/8.77 cnf(810,plain,
% 8.63/8.77 (E(f2(f14(x8101,a8),x8102),f2(a8,x8102))),
% 8.63/8.77 inference(scs_inference,[],[75,74,64,68,132,244,696,710,755,742,628,714,703,747,698,716,194,644,625,383,278,62,49,58,60,53,56,31,30,32,29,2,3,27,59,54,24,23,12,25,22,16,13,8,5,4,26,21,20,19,18,17,15,14,11,10,9])).
% 8.63/8.77 cnf(811,plain,
% 8.63/8.77 (E(f5(f14(x8111,a8)),f5(a8))),
% 8.63/8.77 inference(scs_inference,[],[75,74,64,68,132,244,696,710,755,742,628,714,703,747,698,716,194,644,625,383,278,62,49,58,60,53,56,31,30,32,29,2,3,27,59,54,24,23,12,25,22,16,13,8,5,4,26,21,20,19,18,17,15,14,11,10,9,6])).
% 8.63/8.77 cnf(812,plain,
% 8.63/8.77 (P3(f1(x8121),f6(a8,x8122),f7(a8,x8122))),
% 8.63/8.77 inference(scs_inference,[],[46,75,74,64,68,132,244,696,710,755,742,628,714,703,747,698,716,194,644,625,383,278,296,62,49,58,60,53,56,31,30,32,29,2,3,27,59,54,24,23,12,25,22,16,13,8,5,4,26,21,20,19,18,17,15,14,11,10,9,6,33])).
% 8.63/8.77 cnf(813,plain,
% 8.63/8.77 (P3(x8131,f6(x8131,x8132),f7(x8131,x8132))),
% 8.63/8.77 inference(rename_variables,[],[46])).
% 8.63/8.77 cnf(814,plain,
% 8.63/8.78 (P3(x8141,f6(x8141,x8142),f7(x8141,f15(x8142,a8)))),
% 8.63/8.78 inference(scs_inference,[],[46,813,75,74,64,68,132,244,696,710,755,742,628,636,714,703,747,698,716,194,644,625,383,278,296,62,49,58,60,53,56,31,30,32,29,2,3,27,59,54,24,23,12,25,22,16,13,8,5,4,26,21,20,19,18,17,15,14,11,10,9,6,33,34])).
% 8.63/8.78 cnf(817,plain,
% 8.63/8.78 (P4(f13(x8171,a8),f2(x8171,x8172),f16(x8171,x8172))),
% 8.63/8.78 inference(scs_inference,[],[46,813,75,74,64,47,68,132,244,696,710,755,742,628,636,714,703,747,698,716,194,644,625,383,278,296,141,62,49,58,60,53,56,31,30,32,29,2,3,27,59,54,24,23,12,25,22,16,13,8,5,4,26,21,20,19,18,17,15,14,11,10,9,6,33,34,28])).
% 8.63/8.78 cnf(819,plain,
% 8.63/8.78 (P3(f12(x8191),f1(f6(x8192,x8191)),f12(x8191))),
% 8.63/8.78 inference(scs_inference,[],[46,813,75,74,64,47,68,132,402,244,696,710,755,742,628,636,714,703,747,698,716,194,644,625,383,278,296,141,62,49,58,60,53,56,31,30,32,29,2,3,27,59,54,24,23,12,25,22,16,13,8,5,4,26,21,20,19,18,17,15,14,11,10,9,6,33,34,28,35])).
% 8.63/8.78 cnf(821,plain,
% 8.63/8.78 (~P4(x8211,f5(x8211),f12(x8212))),
% 8.63/8.78 inference(scs_inference,[],[781,62])).
% 8.63/8.78 cnf(823,plain,
% 8.63/8.78 (P1(f15(f15(a8,a8),a8))),
% 8.63/8.78 inference(scs_inference,[],[781,728,62,49])).
% 8.63/8.78 cnf(826,plain,
% 8.63/8.78 (P3(f3(x8261,a8),x8261,f16(x8261,f1(x8262)))),
% 8.63/8.78 inference(scs_inference,[],[74,48,781,728,62,49,33])).
% 8.63/8.78 cnf(828,plain,
% 8.63/8.78 (~P2(f6(x8281,x8282),f12(f1(x8283)))),
% 8.63/8.78 inference(scs_inference,[],[65,74,73,48,781,728,352,62,49,33,58])).
% 8.63/8.78 cnf(831,plain,
% 8.63/8.78 (P3(x8311,f12(x8312),f7(x8311,f15(x8312,a8)))),
% 8.63/8.78 inference(scs_inference,[],[65,74,73,48,68,781,814,728,352,62,49,33,58,34])).
% 8.63/8.78 cnf(834,plain,
% 8.63/8.78 (P4(a8,f2(f1(x8341),x8342),f16(a8,x8342))),
% 8.63/8.78 inference(scs_inference,[],[65,74,73,48,66,68,781,814,447,728,757,352,62,49,33,58,34,60,28])).
% 8.63/8.78 cnf(836,plain,
% 8.63/8.78 (P2(a8,f6(x8361,f1(x8362)))),
% 8.63/8.78 inference(scs_inference,[],[65,74,73,48,66,68,781,814,447,728,753,757,352,62,49,33,58,34,60,28,53])).
% 8.63/8.78 cnf(838,plain,
% 8.63/8.78 (P3(f14(x8381,a8),f12(x8382),f15(a8,f6(x8383,x8382)))),
% 8.63/8.78 inference(scs_inference,[],[65,74,73,48,66,68,574,781,814,447,728,796,753,757,352,62,49,33,58,34,60,28,53,35])).
% 8.63/8.78 cnf(839,plain,
% 8.63/8.78 (~P2(x8391,f15(f13(a8,a8),f13(a8,a8)))),
% 8.63/8.78 inference(scs_inference,[],[65,74,73,48,66,68,574,781,814,447,728,796,753,757,213,714,352,62,49,33,58,34,60,28,53,35,56])).
% 8.63/8.78 cnf(840,plain,
% 8.63/8.78 (E(f15(x8401,x8402),f15(x8401,f13(x8402,a8)))),
% 8.63/8.78 inference(rename_variables,[],[213])).
% 8.63/8.78 cnf(850,plain,
% 8.63/8.78 (P4(f1(x8501),f2(a8,x8502),f16(f1(x8501),x8502))),
% 8.63/8.78 inference(scs_inference,[],[65,74,75,73,48,66,47,68,533,234,574,781,814,447,156,87,529,728,796,753,757,213,252,714,352,62,49,33,58,34,60,28,53,35,56,31,30,32,29])).
% 8.63/8.78 cnf(855,plain,
% 8.63/8.78 (P1(f15(f13(a8,a8),f13(a8,a8)))),
% 8.63/8.78 inference(scs_inference,[],[65,74,75,73,48,66,47,68,533,234,574,781,391,814,629,447,156,87,529,728,796,753,757,213,840,252,714,352,62,49,33,58,34,60,28,53,35,56,31,30,32,29,2,3,27])).
% 8.63/8.78 cnf(857,plain,
% 8.63/8.78 (~P4(x8571,f7(f13(a8,a8),a8),f5(x8572))),
% 8.63/8.78 inference(scs_inference,[],[65,74,75,73,48,66,47,68,533,234,574,781,391,814,629,447,156,87,529,728,796,753,757,213,840,252,714,352,62,49,33,58,34,60,28,53,35,56,31,30,32,29,2,3,27,246])).
% 8.63/8.78 cnf(859,plain,
% 8.63/8.78 (~P1(f13(f7(x8591,x8592),a8))),
% 8.63/8.78 inference(scs_inference,[],[65,74,75,73,48,66,47,68,533,234,574,781,391,814,629,447,156,87,529,728,796,753,757,213,840,252,714,352,62,49,33,58,34,60,28,53,35,56,31,30,32,29,2,3,27,246,50])).
% 8.63/8.78 cnf(861,plain,
% 8.63/8.78 (~P4(x8611,f7(f13(a8,a8),a8),f1(x8612))),
% 8.63/8.78 inference(scs_inference,[],[65,74,75,73,48,66,47,68,533,234,574,781,391,814,629,447,156,87,529,728,796,753,757,213,840,252,714,352,62,49,33,58,34,60,28,53,35,56,31,30,32,29,2,3,27,246,50,436])).
% 8.63/8.78 cnf(865,plain,
% 8.63/8.78 (E(f16(x8651,x8652),f14(f13(x8651,a8),f2(x8651,x8652)))),
% 8.63/8.78 inference(scs_inference,[],[855,817,50,62])).
% 8.63/8.78 cnf(871,plain,
% 8.63/8.78 (~E(f3(x8711,f1(x8712)),f12(x8713))),
% 8.63/8.78 inference(scs_inference,[],[777,855,660,817,792,50,62,49,60,53])).
% 8.63/8.78 cnf(873,plain,
% 8.63/8.78 (~P1(f15(f12(x8731),f15(a8,a8)))),
% 8.63/8.78 inference(scs_inference,[],[777,855,643,660,817,734,792,50,62,49,60,53,56])).
% 8.63/8.78 cnf(874,plain,
% 8.63/8.78 (E(f15(x8741,f15(x8742,a8)),f15(x8741,x8742))),
% 8.63/8.78 inference(rename_variables,[],[643])).
% 8.63/8.78 cnf(876,plain,
% 8.63/8.78 (~P4(x8761,f15(f12(a8),a8),f1(x8762))),
% 8.63/8.78 inference(scs_inference,[],[66,777,855,643,660,817,734,792,97,50,62,49,60,53,56,63])).
% 8.63/8.78 cnf(877,plain,
% 8.63/8.78 (P2(x8771,f15(f12(x8771),a8))),
% 8.63/8.78 inference(rename_variables,[],[734])).
% 8.63/8.78 cnf(879,plain,
% 8.63/8.78 (P2(f1(x8791),f15(f12(a8),a8))),
% 8.63/8.78 inference(scs_inference,[],[66,777,855,643,660,817,734,877,792,97,296,50,62,49,60,53,56,63,31])).
% 8.63/8.78 cnf(881,plain,
% 8.63/8.78 (P2(f15(f15(x8811,a8),f1(x8812)),f7(x8811,a8))),
% 8.63/8.78 inference(scs_inference,[],[66,777,855,634,643,660,817,734,877,516,792,97,296,50,62,49,60,53,56,63,31,32])).
% 8.63/8.78 cnf(884,plain,
% 8.63/8.78 (~P4(x8841,f5(f15(x8841,a8)),f12(x8842))),
% 8.63/8.78 inference(scs_inference,[],[66,821,777,855,634,643,637,660,817,734,877,516,792,97,296,50,62,49,60,53,56,63,31,32,29])).
% 8.63/8.78 cnf(887,plain,
% 8.63/8.78 (E(f3(f1(x8871),f1(x8872)),f3(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[74,75,66,821,568,777,855,634,643,637,660,817,734,877,516,792,97,296,50,62,49,60,53,56,63,31,32,29,2,3])).
% 8.63/8.78 cnf(890,plain,
% 8.63/8.78 (~P1(f15(f16(x8901,a8),f15(a8,a8)))),
% 8.63/8.78 inference(scs_inference,[],[74,75,66,821,568,777,855,634,643,874,637,660,817,734,877,516,792,297,97,296,50,62,49,60,53,56,63,31,32,29,2,3,27])).
% 8.63/8.78 cnf(892,plain,
% 8.63/8.78 (E(f7(x8921,x8922),f13(f13(x8921,a8),f6(x8921,x8922)))),
% 8.63/8.78 inference(scs_inference,[],[74,75,66,821,568,777,855,634,643,874,637,660,240,817,734,877,516,792,297,97,296,50,62,49,60,53,56,63,31,32,29,2,3,27,61])).
% 8.63/8.78 cnf(894,plain,
% 8.63/8.78 (~P2(f1(x8941),f4(x8942))),
% 8.63/8.78 inference(scs_inference,[],[74,75,66,821,568,777,855,634,643,874,637,660,240,817,734,877,516,792,297,97,296,50,62,49,60,53,56,63,31,32,29,2,3,27,61,54])).
% 8.63/8.78 cnf(898,plain,
% 8.63/8.78 (E(f2(x8981,f1(x8982)),f12(a8))),
% 8.63/8.78 inference(scs_inference,[],[264,54])).
% 8.63/8.78 cnf(905,plain,
% 8.63/8.78 (P2(f13(a8,x9051),f7(f1(x9052),f13(x9051,a8)))),
% 8.63/8.78 inference(scs_inference,[],[879,687,807,791,426,264,54,53,56,31])).
% 8.63/8.78 cnf(910,plain,
% 8.63/8.78 (P4(x9101,f2(x9101,a8),f16(x9101,f5(x9102)))),
% 8.63/8.78 inference(scs_inference,[],[47,68,828,879,687,488,807,791,426,264,54,53,56,31,32,29])).
% 8.63/8.78 cnf(913,plain,
% 8.63/8.78 (E(f3(a8,a8),f3(f1(x9131),f1(x9132)))),
% 8.63/8.78 inference(scs_inference,[],[47,68,828,879,887,687,488,807,791,426,264,54,53,56,31,32,29,2])).
% 8.63/8.78 cnf(917,plain,
% 8.63/8.78 (~E(f15(f15(a8,a8),a8),f16(x9171,a8))),
% 8.63/8.78 inference(scs_inference,[],[47,75,68,828,879,823,887,687,450,488,807,791,426,264,122,54,53,56,31,32,29,2,3,27])).
% 8.63/8.78 cnf(918,plain,
% 8.63/8.78 (~P4(x9181,f5(f15(x9181,a8)),f6(x9182,x9183))),
% 8.63/8.78 inference(scs_inference,[],[47,75,68,828,879,823,887,687,884,450,488,807,791,426,264,122,54,53,56,31,32,29,2,3,27,368])).
% 8.63/8.78 cnf(922,plain,
% 8.63/8.78 (E(f3(f13(x9221,a8),f5(x9221)),a8)),
% 8.63/8.78 inference(scs_inference,[],[462,50])).
% 8.63/8.78 cnf(924,plain,
% 8.63/8.78 (~E(f15(f13(a8,a8),f13(a8,a8)),f12(x9241))),
% 8.63/8.78 inference(scs_inference,[],[839,462,50,53])).
% 8.63/8.78 cnf(930,plain,
% 8.63/8.78 (~P2(x9301,f13(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[77,839,425,726,138,462,144,50,53,63,56])).
% 8.63/8.78 cnf(938,plain,
% 8.63/8.78 (P4(a8,f2(f1(x9381),f1(x9382)),f16(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[77,894,839,423,350,808,425,726,533,742,138,462,144,50,53,63,56,31,32,29])).
% 8.63/8.78 cnf(944,plain,
% 8.63/8.78 (P1(f13(f13(a8,a8),a8))),
% 8.63/8.78 inference(scs_inference,[],[77,66,458,871,894,839,423,350,808,425,726,533,742,232,138,462,655,144,50,53,63,56,31,32,29,2,3,27])).
% 8.63/8.78 cnf(948,plain,
% 8.63/8.78 (~P3(f1(x9481),a8,f16(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[77,66,458,871,894,839,423,350,803,808,425,726,533,742,232,138,462,655,144,50,53,63,56,31,32,29,2,3,27,59,61])).
% 8.63/8.78 cnf(950,plain,
% 8.63/8.78 (~P3(f1(x9501),f1(x9502),f16(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[77,66,458,871,894,839,423,350,803,808,425,726,533,742,232,138,462,655,144,50,53,63,56,31,32,29,2,3,27,59,61,34])).
% 8.63/8.78 cnf(951,plain,
% 8.63/8.78 (~P3(f1(x9511),a8,f16(a8,f1(x9512)))),
% 8.63/8.78 inference(scs_inference,[],[77,70,66,458,871,894,839,423,350,803,808,425,726,533,742,232,138,462,655,144,50,53,63,56,31,32,29,2,3,27,59,61,34,35])).
% 8.63/8.78 cnf(955,plain,
% 8.63/8.78 (E(f15(a8,x9551),f13(f5(x9552),x9551))),
% 8.63/8.78 inference(scs_inference,[],[950,596,59,61])).
% 8.63/8.78 cnf(957,plain,
% 8.63/8.78 (P3(f3(x9571,x9572),f13(x9571,a8),f16(x9571,x9572))),
% 8.63/8.78 inference(scs_inference,[],[48,950,596,141,59,61,34])).
% 8.63/8.78 cnf(959,plain,
% 8.63/8.78 (P3(f3(x9591,x9592),x9591,f14(f13(x9591,a8),f2(x9591,x9592)))),
% 8.63/8.78 inference(scs_inference,[],[48,950,865,596,141,59,61,34,35])).
% 8.63/8.78 cnf(960,plain,
% 8.63/8.78 (E(f16(x9601,x9602),f14(f13(x9601,a8),f2(x9601,x9602)))),
% 8.63/8.78 inference(rename_variables,[],[865])).
% 8.63/8.78 cnf(962,plain,
% 8.63/8.78 (E(f13(x9621,f1(x9622)),f13(x9621,a8))),
% 8.63/8.78 inference(rename_variables,[],[77])).
% 8.63/8.78 cnf(966,plain,
% 8.63/8.78 (P2(f15(f15(x9661,a8),a8),f7(x9661,a8))),
% 8.63/8.78 inference(scs_inference,[],[48,77,944,950,865,596,772,881,82,666,571,97,141,59,61,34,35,63,56,31])).
% 8.63/8.78 cnf(968,plain,
% 8.63/8.78 (P2(f15(x9681,x9682),f13(f7(x9681,x9682),f13(a8,a8)))),
% 8.63/8.78 inference(scs_inference,[],[48,77,944,950,865,596,772,881,211,156,82,666,571,97,141,59,61,34,35,63,56,31,32])).
% 8.63/8.78 cnf(972,plain,
% 8.63/8.78 (E(f14(f13(x9721,a8),f2(x9721,x9722)),f16(x9721,x9722))),
% 8.63/8.78 inference(scs_inference,[],[48,77,861,944,950,865,960,633,596,772,881,211,156,82,666,571,97,141,59,61,34,35,63,56,31,32,29,2])).
% 8.63/8.78 cnf(973,plain,
% 8.63/8.78 (E(f13(f1(x9731),f1(x9732)),f1(x9733))),
% 8.63/8.78 inference(scs_inference,[],[48,77,962,861,944,950,865,960,633,596,413,772,881,211,156,82,666,571,97,141,59,61,34,35,63,56,31,32,29,2,3])).
% 8.63/8.78 cnf(974,plain,
% 8.63/8.78 (E(f13(x9741,f1(x9742)),f13(x9741,a8))),
% 8.63/8.78 inference(rename_variables,[],[77])).
% 8.63/8.78 cnf(975,plain,
% 8.63/8.78 (~P1(f13(f7(x9751,x9752),f1(x9753)))),
% 8.63/8.78 inference(scs_inference,[],[48,77,962,974,861,944,950,865,960,633,596,413,772,881,859,211,156,82,666,571,97,141,59,61,34,35,63,56,31,32,29,2,3,27])).
% 8.63/8.78 cnf(976,plain,
% 8.63/8.78 (E(f13(x9761,f1(x9762)),f13(x9761,a8))),
% 8.63/8.78 inference(rename_variables,[],[77])).
% 8.63/8.78 cnf(983,plain,
% 8.63/8.78 (P4(f13(x9831,a8),f5(x9831),f4(x9831))),
% 8.63/8.78 inference(scs_inference,[],[48,77,962,974,976,581,861,944,950,913,865,960,633,596,413,772,881,859,855,211,156,82,666,571,97,141,59,61,34,35,63,56,31,32,29,2,3,27,436,246,33,28])).
% 8.63/8.78 cnf(988,plain,
% 8.63/8.78 (P4(f1(x9881),x9882,f14(a8,x9882))),
% 8.63/8.78 inference(scs_inference,[],[804,340,59,60])).
% 8.63/8.78 cnf(991,plain,
% 8.63/8.78 (P3(f3(x9911,f13(x9912,a8)),x9911,f16(x9911,x9912))),
% 8.63/8.78 inference(rename_variables,[],[266])).
% 8.63/8.78 cnf(1000,plain,
% 8.63/8.78 (P4(f13(x10001,a8),f5(x10001),f4(x10001))),
% 8.63/8.78 inference(rename_variables,[],[983])).
% 8.63/8.78 cnf(1004,plain,
% 8.63/8.78 (P2(f13(f5(x10041),f1(x10042)),f7(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[71,66,266,991,638,983,578,850,955,804,966,948,944,340,516,37,59,60,33,28,34,35,63,56,31])).
% 8.63/8.78 cnf(1007,plain,
% 8.63/8.78 (~P2(x10071,f13(f1(x10072),a8))),
% 8.63/8.78 inference(scs_inference,[],[78,71,66,930,266,991,638,983,578,850,955,804,966,948,944,340,516,37,59,60,33,28,34,35,63,56,31,32])).
% 8.63/8.78 cnf(1008,plain,
% 8.63/8.78 (E(f13(f1(x10081),x10082),f13(a8,x10082))),
% 8.63/8.78 inference(rename_variables,[],[78])).
% 8.63/8.78 cnf(1009,plain,
% 8.63/8.78 (P4(x10091,f12(x10092),f14(x10091,f2(x10091,x10092)))),
% 8.63/8.78 inference(scs_inference,[],[78,71,66,249,930,266,991,638,983,578,850,955,804,966,948,944,340,516,205,37,59,60,33,28,34,35,63,56,31,32,29])).
% 8.63/8.78 cnf(1016,plain,
% 8.63/8.78 (~P3(f1(x10161),f6(a8,x10162),f1(x10163))),
% 8.63/8.78 inference(scs_inference,[],[78,1008,71,66,249,930,924,266,991,638,983,578,850,955,804,966,948,944,340,516,205,613,223,37,59,60,33,28,34,35,63,56,31,32,29,2,3,27,61])).
% 8.63/8.78 cnf(1018,plain,
% 8.63/8.78 (E(f4(x10181),f14(f13(x10181,a8),f5(x10181)))),
% 8.63/8.78 inference(scs_inference,[],[78,1008,71,66,249,930,924,266,991,638,983,1000,578,850,955,804,966,948,944,340,516,205,613,223,37,59,60,33,28,34,35,63,56,31,32,29,2,3,27,61,62])).
% 8.63/8.78 cnf(1020,plain,
% 8.63/8.78 (~E(f13(f7(x10201,x10202),f1(x10203)),a8)),
% 8.63/8.78 inference(scs_inference,[],[78,1008,71,66,249,975,930,924,266,991,638,983,1000,578,850,955,804,966,948,944,340,516,205,613,223,37,59,60,33,28,34,35,63,56,31,32,29,2,3,27,61,62,49])).
% 8.63/8.78 cnf(1026,plain,
% 8.63/8.78 (~E(f13(f4(x10261),a8),f12(x10262))),
% 8.63/8.78 inference(scs_inference,[],[78,1008,71,66,249,975,930,924,266,991,892,638,158,983,1000,578,850,955,917,804,966,948,944,340,516,205,613,821,223,37,59,60,33,28,34,35,63,56,31,32,29,2,3,27,61,62,49,58,30])).
% 8.63/8.78 cnf(1030,plain,
% 8.63/8.78 (E(f16(x10301,x10302),f13(f3(x10301,x10302),f13(x10301,a8)))),
% 8.63/8.78 inference(scs_inference,[],[957,1026,54,61])).
% 8.63/8.78 cnf(1032,plain,
% 8.63/8.78 (~P3(f13(f1(x10321),f1(x10322)),f6(a8,x10323),f1(x10324))),
% 8.63/8.78 inference(scs_inference,[],[973,957,1016,1026,54,61,33])).
% 8.63/8.78 cnf(1033,plain,
% 8.63/8.78 (~P3(f1(x10331),f6(a8,x10332),f1(x10333))),
% 8.63/8.78 inference(rename_variables,[],[1016])).
% 8.63/8.78 cnf(1034,plain,
% 8.63/8.78 (~P3(f1(x10341),f1(x10342),f16(a8,f1(x10343)))),
% 8.63/8.78 inference(scs_inference,[],[66,973,957,1016,1026,951,54,61,33,34])).
% 8.63/8.78 cnf(1041,plain,
% 8.63/8.78 (~P2(x10411,f15(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[66,973,957,1016,1033,1026,563,492,951,823,628,37,54,61,33,34,35,63,56])).
% 8.63/8.78 cnf(1044,plain,
% 8.63/8.78 (~P4(x10441,f7(a8,a8),f13(f1(x10442),f1(x10443)))),
% 8.63/8.78 inference(scs_inference,[],[66,973,957,1016,1033,1026,563,492,951,675,823,628,37,54,61,33,34,35,63,56,30])).
% 8.63/8.78 cnf(1046,plain,
% 8.63/8.78 (~P2(f13(f1(x10461),f1(x10462)),f4(x10463))),
% 8.63/8.78 inference(scs_inference,[],[66,973,957,1016,1033,1026,563,492,951,675,894,823,628,37,54,61,33,34,35,63,56,30,31])).
% 8.63/8.78 cnf(1047,plain,
% 8.63/8.78 (~P2(f1(x10471),f4(x10472))),
% 8.63/8.78 inference(rename_variables,[],[894])).
% 8.63/8.78 cnf(1050,plain,
% 8.63/8.78 (P4(x10501,a8,f14(x10501,a8))),
% 8.63/8.78 inference(scs_inference,[],[66,973,957,438,1016,1033,1026,563,492,951,675,894,1047,823,628,879,37,54,61,33,34,35,63,56,30,31,32,29])).
% 8.63/8.78 cnf(1052,plain,
% 8.63/8.78 (E(f1(x10521),f13(f1(x10522),f1(x10523)))),
% 8.63/8.78 inference(scs_inference,[],[66,973,957,438,1016,1033,1026,563,492,951,675,894,1047,823,628,879,37,54,61,33,34,35,63,56,30,31,32,29,2])).
% 8.63/8.78 cnf(1055,plain,
% 8.63/8.78 (P1(f13(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[78,70,66,545,973,957,438,1016,1033,1026,563,492,951,675,894,1047,823,628,726,879,37,54,61,33,34,35,63,56,30,31,32,29,2,3,27])).
% 8.63/8.78 cnf(1058,plain,
% 8.63/8.78 (~P4(x10581,f5(x10581),f6(x10582,x10583))),
% 8.63/8.78 inference(scs_inference,[],[78,70,66,545,973,957,438,1016,1033,1026,563,492,951,675,894,1047,823,628,726,879,821,37,54,61,33,34,35,63,56,30,31,32,29,2,3,27,368])).
% 8.63/8.78 cnf(1061,plain,
% 8.63/8.78 (~E(f6(x10611,x10612),f14(x10613,f5(x10613)))),
% 8.63/8.78 inference(scs_inference,[],[64,76,78,70,66,545,973,957,438,1016,1033,1026,563,492,951,675,894,1047,823,628,726,879,821,37,54,61,33,34,35,63,56,30,31,32,29,2,3,27,368,58,60])).
% 8.63/8.78 cnf(1067,plain,
% 8.63/8.78 (P3(f3(x10671,x10672),f13(f13(x10671,a8),f1(x10671)),f16(x10671,x10672))),
% 8.63/8.78 inference(scs_inference,[],[128,130,475,194,296,60,33,34])).
% 8.63/8.78 cnf(1077,plain,
% 8.63/8.78 (E(f13(f1(x10771),x10772),f13(a8,x10772))),
% 8.63/8.78 inference(rename_variables,[],[78])).
% 8.63/8.78 cnf(1083,plain,
% 8.63/8.78 (P2(f13(f5(x10831),a8),f7(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[77,78,75,128,130,230,1009,309,1004,238,795,495,559,475,194,97,296,60,33,34,35,63,56,30,31])).
% 8.63/8.78 cnf(1084,plain,
% 8.63/8.78 (E(f13(x10841,f1(x10842)),f13(x10841,a8))),
% 8.63/8.78 inference(rename_variables,[],[77])).
% 8.63/8.78 cnf(1087,plain,
% 8.63/8.78 (P2(f13(a8,x10871),f7(a8,f13(x10871,a8)))),
% 8.63/8.78 inference(scs_inference,[],[77,78,75,128,130,230,1009,309,1058,1004,238,81,795,905,811,495,559,475,194,97,296,60,33,34,35,63,56,30,31,29,32])).
% 8.63/8.78 cnf(1090,plain,
% 8.63/8.78 (~E(f14(x10901,f5(x10901)),f6(x10902,x10903))),
% 8.63/8.78 inference(scs_inference,[],[77,78,75,128,130,230,1009,309,1058,1061,1004,238,81,795,905,811,495,559,475,194,97,296,60,33,34,35,63,56,30,31,29,32,2])).
% 8.63/8.78 cnf(1091,plain,
% 8.63/8.78 (E(f13(f1(x10911),f1(x10912)),f13(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[77,1084,78,1077,75,128,130,230,1009,309,1058,1061,1004,238,81,795,905,811,495,559,475,194,97,296,60,33,34,35,63,56,30,31,29,32,2,3])).
% 8.63/8.78 cnf(1094,plain,
% 8.63/8.78 (P1(f13(f1(x10941),f1(x10942)))),
% 8.63/8.78 inference(scs_inference,[],[77,1084,78,1077,75,128,130,230,1009,309,1058,1061,1052,1004,238,81,795,905,811,495,559,475,194,97,36,296,60,33,34,35,63,56,30,31,29,32,2,3,27])).
% 8.63/8.78 cnf(1096,plain,
% 8.63/8.78 (E(f13(a8,a8),a8)),
% 8.63/8.78 inference(scs_inference,[],[77,1084,78,1077,75,128,130,230,1009,309,1058,1061,1052,1055,1004,238,81,795,905,811,495,559,475,194,97,36,296,60,33,34,35,63,56,30,31,29,32,2,3,27,50])).
% 8.63/8.78 cnf(1098,plain,
% 8.63/8.78 (~E(f15(a8,a8),f12(x10981))),
% 8.63/8.78 inference(scs_inference,[],[77,1084,78,1077,75,128,130,230,1009,309,1058,1061,1052,1041,1055,1004,238,81,795,905,811,495,559,475,194,97,36,296,60,33,34,35,63,56,30,31,29,32,2,3,27,50,53])).
% 8.63/8.78 cnf(1102,plain,
% 8.63/8.78 (E(f12(f13(a8,a8)),f12(a8))),
% 8.63/8.78 inference(scs_inference,[],[1096,24,23])).
% 8.63/8.78 cnf(1103,plain,
% 8.63/8.78 (E(f14(x11031,f13(a8,a8)),f14(x11031,a8))),
% 8.63/8.78 inference(scs_inference,[],[1096,24,23,12])).
% 8.63/8.78 cnf(1104,plain,
% 8.63/8.78 (E(f4(f13(a8,a8)),f4(a8))),
% 8.63/8.78 inference(scs_inference,[],[1096,24,23,12,5])).
% 8.63/8.78 cnf(1105,plain,
% 8.63/8.78 (E(f3(x11051,f13(a8,a8)),f3(x11051,a8))),
% 8.63/8.78 inference(scs_inference,[],[1096,24,23,12,5,22])).
% 8.63/8.78 cnf(1106,plain,
% 8.63/8.78 (E(f3(f13(a8,a8),x11061),f3(a8,x11061))),
% 8.63/8.78 inference(scs_inference,[],[1096,24,23,12,5,22,21])).
% 8.63/8.78 cnf(1107,plain,
% 8.63/8.78 (E(f13(f13(a8,a8),x11071),f13(a8,x11071))),
% 8.63/8.78 inference(scs_inference,[],[1096,24,23,12,5,22,21,18])).
% 8.63/8.78 cnf(1108,plain,
% 8.63/8.78 (E(f7(x11081,f13(a8,a8)),f7(x11081,a8))),
% 8.63/8.78 inference(scs_inference,[],[1096,24,23,12,5,22,21,18,16])).
% 8.63/8.78 cnf(1109,plain,
% 8.63/8.78 (E(f7(f13(a8,a8),x11091),f7(a8,x11091))),
% 8.63/8.78 inference(scs_inference,[],[1096,24,23,12,5,22,21,18,16,15])).
% 8.63/8.78 cnf(1110,plain,
% 8.63/8.78 (E(f15(x11101,f13(a8,a8)),f15(x11101,a8))),
% 8.63/8.78 inference(scs_inference,[],[1096,24,23,12,5,22,21,18,16,15,14])).
% 8.63/8.78 cnf(1111,plain,
% 8.63/8.78 (E(f15(f13(a8,a8),x11111),f15(a8,x11111))),
% 8.63/8.78 inference(scs_inference,[],[1096,24,23,12,5,22,21,18,16,15,14,13])).
% 8.63/8.78 cnf(1113,plain,
% 8.63/8.78 (E(f2(x11131,f13(a8,a8)),f2(x11131,a8))),
% 8.63/8.78 inference(scs_inference,[],[1096,24,23,12,5,22,21,18,16,15,14,13,11,10])).
% 8.63/8.78 cnf(1114,plain,
% 8.63/8.78 (E(f2(f13(a8,a8),x11141),f2(a8,x11141))),
% 8.63/8.78 inference(scs_inference,[],[1096,24,23,12,5,22,21,18,16,15,14,13,11,10,9])).
% 8.63/8.78 cnf(1115,plain,
% 8.63/8.78 (E(f6(x11151,f13(a8,a8)),f6(x11151,a8))),
% 8.63/8.78 inference(scs_inference,[],[1096,24,23,12,5,22,21,18,16,15,14,13,11,10,9,8])).
% 8.63/8.78 cnf(1116,plain,
% 8.63/8.78 (E(f5(f13(a8,a8)),f5(a8))),
% 8.63/8.78 inference(scs_inference,[],[1096,24,23,12,5,22,21,18,16,15,14,13,11,10,9,8,6])).
% 8.63/8.78 cnf(1119,plain,
% 8.63/8.78 (E(f13(x11191,f13(a8,a8)),f13(x11191,a8))),
% 8.63/8.78 inference(scs_inference,[],[1096,24,23,12,5,22,21,18,16,15,14,13,11,10,9,8,6,4,20,19])).
% 8.63/8.78 cnf(1123,plain,
% 8.63/8.78 (P4(f12(x11231),f6(x11232,x11233),f3(f6(x11234,x11231),f6(x11235,x11233)))),
% 8.63/8.78 inference(scs_inference,[],[68,541,1096,24,23,12,5,22,21,18,16,15,14,13,11,10,9,8,6,4,20,19,17,53,28])).
% 8.63/8.78 cnf(1129,plain,
% 8.63/8.78 (E(f13(x11291,f1(x11292)),f13(x11291,a8))),
% 8.63/8.78 inference(rename_variables,[],[77])).
% 8.63/8.78 cnf(1136,plain,
% 8.63/8.78 (~P1(f2(x11361,a8))),
% 8.63/8.78 inference(scs_inference,[],[77,68,541,1094,1067,831,420,347,349,1096,423,948,264,97,24,23,12,5,22,21,18,16,15,14,13,11,10,9,8,6,4,20,19,17,53,28,33,34,63,35,56])).
% 8.63/8.78 cnf(1139,plain,
% 8.63/8.78 (~E(f4(f1(x11391)),f6(x11392,x11393))),
% 8.63/8.78 inference(scs_inference,[],[77,68,541,1094,1067,831,420,347,349,539,1096,1058,423,948,264,97,24,23,12,5,22,21,18,16,15,14,13,11,10,9,8,6,4,20,19,17,53,28,33,34,63,35,56,30])).
% 8.63/8.78 cnf(1141,plain,
% 8.63/8.78 (P2(f13(x11411,a8),f7(x11411,f1(x11412)))),
% 8.63/8.78 inference(scs_inference,[],[77,1129,68,541,1094,1067,831,420,347,349,539,1096,1058,423,948,242,264,97,24,23,12,5,22,21,18,16,15,14,13,11,10,9,8,6,4,20,19,17,53,28,33,34,63,35,56,30,31])).
% 8.63/8.78 cnf(1146,plain,
% 8.63/8.78 (~P2(x11461,f13(f1(x11462),f1(x11463)))),
% 8.63/8.78 inference(scs_inference,[],[77,1129,68,541,1094,1067,561,831,420,347,349,1007,809,539,1096,1058,423,948,242,264,97,24,23,12,5,22,21,18,16,15,14,13,11,10,9,8,6,4,20,19,17,53,28,33,34,63,35,56,30,31,29,32])).
% 8.63/8.78 cnf(1148,plain,
% 8.63/8.78 (E(f13(a8,a8),f13(f1(x11481),f1(x11482)))),
% 8.63/8.78 inference(scs_inference,[],[77,1129,68,541,1094,1091,1067,561,831,420,347,349,1007,809,539,1096,1058,423,948,242,264,97,24,23,12,5,22,21,18,16,15,14,13,11,10,9,8,6,4,20,19,17,53,28,33,34,63,35,56,30,31,29,32,2])).
% 8.63/8.78 cnf(1149,plain,
% 8.63/8.78 (~E(f13(f7(x11491,x11492),f1(x11493)),f1(x11494))),
% 8.63/8.78 inference(scs_inference,[],[77,1129,68,66,541,1094,1091,1067,561,831,420,347,349,1007,809,539,1096,1020,1058,423,948,242,264,97,24,23,12,5,22,21,18,16,15,14,13,11,10,9,8,6,4,20,19,17,53,28,33,34,63,35,56,30,31,29,32,2,3])).
% 8.63/8.78 cnf(1150,plain,
% 8.63/8.78 (~E(f13(f1(x11501),f1(x11502)),f6(x11503,x11504))),
% 8.63/8.78 inference(scs_inference,[],[77,1129,68,66,541,1094,1091,1067,561,831,420,347,349,1007,809,539,1096,1020,1058,423,948,242,264,278,97,24,23,12,5,22,21,18,16,15,14,13,11,10,9,8,6,4,20,19,17,53,28,33,34,63,35,56,30,31,29,32,2,3,27])).
% 8.63/8.78 cnf(1151,plain,
% 8.63/8.78 (~P4(x11511,f7(f15(a8,a8),a8),f1(x11512))),
% 8.63/8.78 inference(scs_inference,[],[77,1129,68,66,541,1094,1091,1067,561,831,420,347,349,1007,809,539,1096,1020,1058,423,948,242,823,264,278,97,24,23,12,5,22,21,18,16,15,14,13,11,10,9,8,6,4,20,19,17,53,28,33,34,63,35,56,30,31,29,32,2,3,27,436])).
% 8.63/8.78 cnf(1153,plain,
% 8.63/8.78 (~P4(x11531,f7(f15(a8,a8),a8),f5(x11532))),
% 8.63/8.78 inference(scs_inference,[],[77,1129,68,66,541,1094,1091,1067,561,831,420,347,349,1007,809,539,1096,1020,1058,423,948,242,823,264,278,97,24,23,12,5,22,21,18,16,15,14,13,11,10,9,8,6,4,20,19,17,53,28,33,34,63,35,56,30,31,29,32,2,3,27,436,246])).
% 8.63/8.78 cnf(1155,plain,
% 8.63/8.78 (~P3(f1(x11551),f1(x11552),f16(x11553,a8))),
% 8.63/8.78 inference(scs_inference,[],[77,1129,68,66,541,1094,1091,1067,561,831,420,347,349,1007,809,539,1096,1020,1058,423,948,242,823,264,278,97,24,23,12,5,22,21,18,16,15,14,13,11,10,9,8,6,4,20,19,17,53,28,33,34,63,35,56,30,31,29,32,2,3,27,436,246,61])).
% 8.63/8.78 cnf(1159,plain,
% 8.63/8.78 (~E(f13(f1(x11591),f1(x11592)),f12(x11593))),
% 8.63/8.78 inference(scs_inference,[],[1146,812,61,53])).
% 8.63/8.78 cnf(1161,plain,
% 8.63/8.78 (P4(a8,x11611,f14(f1(x11612),f15(x11611,a8)))),
% 8.63/8.78 inference(scs_inference,[],[66,1146,694,812,61,53,28])).
% 8.63/8.78 cnf(1163,plain,
% 8.63/8.78 (~P3(f13(a8,a8),f6(a8,x11631),f1(x11632))),
% 8.63/8.78 inference(scs_inference,[],[66,1146,1148,694,1032,812,61,53,28,33])).
% 8.63/8.78 cnf(1165,plain,
% 8.63/8.78 (~P4(x11651,f12(a8),f13(f1(x11652),a8))),
% 8.63/8.78 inference(scs_inference,[],[66,78,1146,1148,694,1032,812,1055,666,97,61,53,28,33,63])).
% 8.63/8.78 cnf(1166,plain,
% 8.63/8.78 (E(f13(f1(x11661),x11662),f13(a8,x11662))),
% 8.63/8.78 inference(rename_variables,[],[78])).
% 8.63/8.78 cnf(1168,plain,
% 8.63/8.78 (~P3(f1(x11681),f1(x11682),f16(f1(x11683),f1(x11684)))),
% 8.63/8.78 inference(scs_inference,[],[66,78,71,1146,1148,694,1032,1034,812,1055,666,97,61,53,28,33,63,35])).
% 8.63/8.78 cnf(1171,plain,
% 8.63/8.78 (E(f13(f1(x11711),x11712),f13(a8,x11712))),
% 8.63/8.78 inference(rename_variables,[],[78])).
% 8.63/8.78 cnf(1173,plain,
% 8.63/8.78 (~P4(x11731,f7(a8,a8),f13(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[66,78,1166,71,1146,1148,1044,694,1032,1034,812,1055,1094,666,97,61,53,28,33,63,35,56,30])).
% 8.63/8.78 cnf(1175,plain,
% 8.63/8.78 (~P2(f13(a8,a8),f4(x11751))),
% 8.63/8.78 inference(scs_inference,[],[66,78,1166,71,1046,1146,1148,1044,694,1032,1034,812,1055,1094,666,97,61,53,28,33,63,35,56,30,31])).
% 8.63/8.78 cnf(1177,plain,
% 8.63/8.78 (P4(f12(x11771),f12(x11772),f3(f6(x11773,x11771),f6(x11774,x11772)))),
% 8.63/8.78 inference(scs_inference,[],[66,78,1166,71,68,1123,1046,1146,1148,1044,694,1032,1034,812,1055,1094,666,97,61,53,28,33,63,35,56,30,31,29])).
% 8.63/8.78 cnf(1185,plain,
% 8.63/8.78 (P1(f13(a8,f1(x11851)))),
% 8.63/8.78 inference(scs_inference,[],[66,78,1166,1171,77,71,68,1123,1046,1139,1146,1149,1148,968,1044,694,1032,1034,812,1041,1055,1094,666,97,61,53,28,33,63,35,56,30,31,29,32,2,3,27])).
% 8.63/8.78 cnf(1188,plain,
% 8.63/8.78 (P3(f1(x11881),f1(x11882),f13(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[66,78,1166,1171,77,71,68,1123,1046,1139,1146,1149,1148,968,1044,694,1032,1034,812,1041,1055,1094,666,97,61,53,28,33,63,35,56,30,31,29,32,2,3,27,59])).
% 8.63/8.78 cnf(1199,plain,
% 8.63/8.78 (P4(x11991,a8,f14(x11991,f13(a8,a8)))),
% 8.63/8.78 inference(scs_inference,[],[1163,1103,59,60])).
% 8.63/8.78 cnf(1203,plain,
% 8.63/8.78 (P3(f14(x12031,x12032),x12031,f14(x12031,f2(x12031,x12032)))),
% 8.63/8.78 inference(scs_inference,[],[66,236,918,1163,1103,93,59,60,28,33])).
% 8.63/8.78 cnf(1205,plain,
% 8.63/8.78 (P3(f3(x12051,x12052),f13(x12051,a8),f14(x12051,f2(x12051,x12052)))),
% 8.63/8.78 inference(scs_inference,[],[66,236,918,1163,1103,93,141,59,60,28,33,34])).
% 8.63/8.78 cnf(1208,plain,
% 8.63/8.78 (P1(f4(x12081))),
% 8.63/8.78 inference(rename_variables,[],[37])).
% 8.63/8.78 cnf(1214,plain,
% 8.63/8.78 (~E(f13(a8,a8),f7(x12141,f1(x12142)))),
% 8.63/8.78 inference(scs_inference,[],[66,236,576,918,1163,1103,1110,1141,1104,581,93,1055,37,141,59,60,28,33,34,63,35,56])).
% 8.63/8.78 cnf(1216,plain,
% 8.63/8.78 (P2(f13(a8,a8),f7(f1(x12161),f1(x12162)))),
% 8.63/8.78 inference(scs_inference,[],[66,78,236,576,918,1163,1103,1110,1141,1104,581,93,1055,37,141,59,60,28,33,34,63,35,56,31])).
% 8.63/8.78 cnf(1217,plain,
% 8.63/8.78 (E(f13(f1(x12171),x12172),f13(a8,x12172))),
% 8.63/8.78 inference(rename_variables,[],[78])).
% 8.63/8.78 cnf(1222,plain,
% 8.63/8.78 (E(f7(x12221,f1(x12222)),f7(x12221,a8))),
% 8.63/8.78 inference(rename_variables,[],[80])).
% 8.63/8.78 cnf(1223,plain,
% 8.63/8.78 (P2(f15(x12231,a8),f7(f13(x12231,a8),a8))),
% 8.63/8.78 inference(scs_inference,[],[66,80,1222,78,1217,236,576,1153,1173,918,1163,1103,1110,1141,543,1104,581,93,1055,37,141,59,60,28,33,34,63,35,56,31,30,29,32])).
% 8.63/8.78 cnf(1225,plain,
% 8.63/8.78 (E(f7(x12251,f1(x12252)),f7(x12251,a8))),
% 8.63/8.78 inference(rename_variables,[],[80])).
% 8.63/8.78 cnf(1226,plain,
% 8.63/8.78 (E(f14(f13(x12261,a8),f5(x12261)),f4(x12261))),
% 8.63/8.78 inference(scs_inference,[],[66,80,1222,78,1217,236,576,1153,1173,1018,918,1163,1103,1110,1141,543,1104,581,93,1055,37,141,59,60,28,33,34,63,35,56,31,30,29,32,2])).
% 8.63/8.78 cnf(1227,plain,
% 8.63/8.78 (P1(f14(f13(x12271,a8),f5(x12271)))),
% 8.63/8.78 inference(scs_inference,[],[66,80,1222,78,1217,236,576,1153,1173,1018,918,1163,1103,1110,1141,543,1104,581,93,1055,37,1208,141,59,60,28,33,34,63,35,56,31,30,29,32,2,27])).
% 8.63/8.78 cnf(1229,plain,
% 8.63/8.78 (E(f7(f13(a8,a8),f1(x12291)),f7(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[66,80,1222,1225,78,1217,236,576,1153,1173,1018,918,1163,1103,1109,1110,1141,543,1104,581,93,1055,37,1208,141,59,60,28,33,34,63,35,56,31,30,29,32,2,27,3])).
% 8.63/8.78 cnf(1234,plain,
% 8.63/8.78 (P3(a8,x12341,f13(f13(a8,a8),x12341))),
% 8.63/8.78 inference(scs_inference,[],[1107,59])).
% 8.63/8.78 cnf(1236,plain,
% 8.63/8.78 (P4(f6(x12361,x12362),f12(x12363),f3(f6(x12364,x12362),f6(x12365,x12363)))),
% 8.63/8.78 inference(scs_inference,[],[1177,1107,361,59,28])).
% 8.63/8.78 cnf(1238,plain,
% 8.63/8.78 (P3(f13(a8,a8),x12381,f13(f1(x12382),x12381))),
% 8.63/8.78 inference(scs_inference,[],[78,1177,786,1107,361,59,28,33])).
% 8.63/8.78 cnf(1241,plain,
% 8.63/8.78 (P3(f12(x12411),f13(f1(x12412),f1(x12413)),f12(x12411))),
% 8.63/8.78 inference(scs_inference,[],[78,819,1177,786,1107,1052,361,59,28,33,34])).
% 8.63/8.78 cnf(1245,plain,
% 8.63/8.78 (~E(f13(a8,a8),f16(f1(x12451),f1(x12452)))),
% 8.63/8.78 inference(scs_inference,[],[78,819,1177,1168,1188,1227,786,1107,1083,1052,361,59,28,33,34,56,35])).
% 8.63/8.78 cnf(1247,plain,
% 8.63/8.78 (P2(f12(x12471),f7(f6(x12472,x12471),a8))),
% 8.63/8.78 inference(scs_inference,[],[68,78,819,1177,1168,1188,1227,786,1107,1083,1052,361,747,59,28,33,34,56,35,31])).
% 8.63/8.78 cnf(1249,plain,
% 8.63/8.78 (P4(f1(x12491),f5(a8),f4(a8))),
% 8.63/8.78 inference(scs_inference,[],[68,78,819,1177,1168,1188,1227,786,1107,1083,259,1052,91,361,747,59,28,33,34,56,35,31,30])).
% 8.63/8.78 cnf(1257,plain,
% 8.63/8.78 (E(f3(f1(x12571),f13(a8,a8)),f3(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[68,78,75,819,1177,1150,1168,1188,766,1227,786,1105,1107,1083,259,762,1136,1052,91,361,747,59,28,33,34,56,35,31,30,29,32,2,27,3])).
% 8.63/8.78 cnf(1260,plain,
% 8.63/8.78 (~P3(f1(x12601),f1(x12602),f6(x12603,x12604))),
% 8.63/8.78 inference(scs_inference,[],[68,78,75,819,1177,1150,1168,1188,766,1227,786,1105,1107,1083,259,762,1136,1052,91,361,747,59,28,33,34,56,35,31,30,29,32,2,27,3,61])).
% 8.63/8.78 cnf(1262,plain,
% 8.63/8.78 (E(f14(f13(x12621,a8),f5(x12621)),a8)),
% 8.63/8.78 inference(scs_inference,[],[68,78,75,819,1177,1150,1168,1188,766,1227,786,1105,1107,1083,259,762,1136,1052,91,361,747,59,28,33,34,56,35,31,30,29,32,2,27,3,61,50])).
% 8.63/8.78 cnf(1272,plain,
% 8.63/8.78 (E(f15(f13(a8,a8),x12721),f15(a8,x12721))),
% 8.63/8.78 inference(rename_variables,[],[1111])).
% 8.63/8.78 cnf(1274,plain,
% 8.63/8.78 (~P3(f1(x12741),f1(x12742),f16(x12743,f1(x12744)))),
% 8.63/8.78 inference(scs_inference,[],[68,70,1155,1111,1199,262,1262,653,948,855,61,28,33,34,56,35])).
% 8.63/8.78 cnf(1276,plain,
% 8.63/8.78 (~P2(f13(a8,f1(x12761)),f4(x12762))),
% 8.63/8.78 inference(scs_inference,[],[68,77,70,1175,1155,1111,1199,262,1262,653,948,855,61,28,33,34,56,35,31])).
% 8.63/8.78 cnf(1277,plain,
% 8.63/8.78 (E(f13(x12771,f1(x12772)),f13(x12771,a8))),
% 8.63/8.78 inference(rename_variables,[],[77])).
% 8.63/8.78 cnf(1279,plain,
% 8.63/8.78 (E(f13(x12791,f1(x12792)),f13(x12791,a8))),
% 8.63/8.78 inference(rename_variables,[],[77])).
% 8.63/8.78 cnf(1280,plain,
% 8.63/8.78 (P4(f1(x12801),f13(x12802,a8),f3(a8,x12802))),
% 8.63/8.78 inference(scs_inference,[],[68,77,1277,1279,70,1175,775,1155,1111,1165,1199,262,1262,653,948,855,61,28,33,34,56,35,31,30,29])).
% 8.63/8.78 cnf(1282,plain,
% 8.63/8.78 (E(f13(x12821,f1(x12822)),f13(x12821,a8))),
% 8.63/8.78 inference(rename_variables,[],[77])).
% 8.63/8.78 cnf(1283,plain,
% 8.63/8.78 (~E(f7(f1(x12831),f1(x12832)),f4(x12833))),
% 8.63/8.78 inference(scs_inference,[],[68,77,1277,1279,70,1216,1175,775,1155,1111,1165,1199,262,1262,653,948,855,61,28,33,34,56,35,31,30,29,32])).
% 8.63/8.78 cnf(1284,plain,
% 8.63/8.78 (E(f7(a8,a8),f7(f13(a8,a8),f1(x12841)))),
% 8.63/8.78 inference(scs_inference,[],[68,77,1277,1279,70,1216,1175,1229,775,1155,1111,1165,1199,262,1262,653,948,855,61,28,33,34,56,35,31,30,29,32,2])).
% 8.63/8.78 cnf(1285,plain,
% 8.63/8.78 (P1(f15(a8,f13(a8,a8)))),
% 8.63/8.78 inference(scs_inference,[],[68,77,1277,1279,70,1216,1175,1229,775,1155,1111,1272,1165,1199,262,1262,653,948,855,61,28,33,34,56,35,31,30,29,32,2,27])).
% 8.63/8.78 cnf(1292,plain,
% 8.63/8.78 (~P4(x12921,f7(a8,f13(a8,a8)),f5(x12922))),
% 8.63/8.78 inference(scs_inference,[],[68,77,1277,1279,1282,70,1159,1216,1175,1229,775,1155,1111,1272,1165,1199,262,1262,653,948,855,61,28,33,34,56,35,31,30,29,32,2,27,3,436,246])).
% 8.63/8.78 cnf(1294,plain,
% 8.63/8.78 (~E(f7(f6(x12941,x12942),a8),f12(a8))),
% 8.63/8.78 inference(scs_inference,[],[68,77,1277,1279,1282,70,364,1159,1216,1175,1229,775,1155,1111,1272,1247,1165,1199,262,1262,653,948,855,352,61,28,33,34,56,35,31,30,29,32,2,27,3,436,246,58])).
% 8.63/8.78 cnf(1302,plain,
% 8.63/8.78 (~P2(a8,f7(f6(x13021,x13022),a8))),
% 8.63/8.78 inference(scs_inference,[],[1294,54])).
% 8.63/8.78 cnf(1313,plain,
% 8.63/8.78 (P3(f14(x13131,x13132),x13131,f14(f13(x13131,a8),f2(x13131,x13132)))),
% 8.63/8.78 inference(scs_inference,[],[1245,959,1285,1108,1087,938,1294,93,138,1094,54,58,63,33])).
% 8.63/8.78 cnf(1317,plain,
% 8.63/8.78 (~P1(f15(f12(x13171),f1(x13172)))),
% 8.63/8.78 inference(scs_inference,[],[82,1203,1245,959,1285,1108,1087,938,1294,93,734,138,1094,296,54,58,63,33,34,56])).
% 8.63/8.78 cnf(1318,plain,
% 8.63/8.78 (E(f15(x13181,f1(x13182)),f15(x13181,a8))),
% 8.63/8.78 inference(rename_variables,[],[82])).
% 8.63/8.78 cnf(1320,plain,
% 8.63/8.78 (P3(f13(a8,a8),f1(x13201),f13(f1(x13202),a8))),
% 8.63/8.78 inference(scs_inference,[],[82,77,1203,1238,1245,959,1285,1108,1087,938,1294,93,734,138,1094,296,54,58,63,33,34,56,35])).
% 8.63/8.78 cnf(1323,plain,
% 8.63/8.78 (P2(f13(a8,f1(x13231)),f7(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[82,77,1203,1238,1245,959,1285,1108,1087,938,1294,1004,479,93,734,138,1094,296,54,58,63,33,34,56,35,31])).
% 8.63/8.78 cnf(1327,plain,
% 8.63/8.78 (P4(f1(x13271),f13(x13272,a8),f3(a8,x13272))),
% 8.63/8.78 inference(rename_variables,[],[1280])).
% 8.63/8.78 cnf(1329,plain,
% 8.63/8.78 (E(f7(x13291,f1(x13292)),f7(x13291,a8))),
% 8.63/8.78 inference(rename_variables,[],[80])).
% 8.63/8.78 cnf(1330,plain,
% 8.63/8.78 (P2(f15(a8,a8),f7(a8,f5(x13301)))),
% 8.63/8.78 inference(scs_inference,[],[81,80,82,74,77,1203,1238,1245,1151,959,1285,1108,1280,603,1087,938,1294,1004,479,93,734,138,1094,296,54,58,63,33,34,56,35,31,30,29,32])).
% 8.63/8.78 cnf(1332,plain,
% 8.63/8.78 (E(f7(f1(x13321),x13322),f7(a8,x13322))),
% 8.63/8.78 inference(rename_variables,[],[81])).
% 8.63/8.78 cnf(1336,plain,
% 8.63/8.78 (E(f7(f1(x13361),f1(x13362)),f7(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[81,1332,80,1329,82,1318,74,77,1203,1283,1238,1245,1151,959,1285,1108,1280,603,1087,938,1294,1004,479,93,297,734,138,1094,296,54,58,63,33,34,56,35,31,30,29,32,2,27,3])).
% 8.63/8.78 cnf(1341,plain,
% 8.63/8.78 (~E(f15(f12(x13411),f15(a8,a8)),a8)),
% 8.63/8.78 inference(scs_inference,[],[81,1332,80,1329,82,1318,74,77,1203,1283,1238,1245,1151,873,959,1285,1108,1280,1327,603,1087,938,1294,1004,479,93,297,734,138,1094,296,54,58,63,33,34,56,35,31,30,29,32,2,27,3,62,49])).
% 8.63/8.78 cnf(1346,plain,
% 8.63/8.78 (E(f7(a8,a8),f7(f13(a8,a8),f1(x13461)))),
% 8.63/8.78 inference(rename_variables,[],[1284])).
% 8.63/8.78 cnf(1350,plain,
% 8.63/8.78 (P2(f13(x13501,f1(x13501)),f2(x13502,x13501))),
% 8.63/8.78 inference(rename_variables,[],[138])).
% 8.63/8.78 cnf(1352,plain,
% 8.63/8.78 (P1(f13(a8,f1(x13521)))),
% 8.63/8.78 inference(rename_variables,[],[1185])).
% 8.63/8.78 cnf(1353,plain,
% 8.63/8.78 (E(f13(f1(x13531),x13532),f13(a8,x13532))),
% 8.63/8.78 inference(rename_variables,[],[78])).
% 8.63/8.78 cnf(1361,plain,
% 8.63/8.78 (P3(f12(x13611),f13(a8,f1(x13612)),f12(x13611))),
% 8.63/8.78 inference(scs_inference,[],[78,1353,1241,1274,1284,826,1113,1323,1185,543,138,1350,58,63,33,56,34])).
% 8.63/8.78 cnf(1364,plain,
% 8.63/8.78 (P3(f14(x13641,x13642),x13641,f16(x13641,x13642))),
% 8.63/8.78 inference(scs_inference,[],[78,1353,1241,1274,1284,1313,972,826,1113,1323,1185,543,138,1350,58,63,33,56,34,35])).
% 8.63/8.78 cnf(1372,plain,
% 8.63/8.78 (~P2(x13721,f15(a8,f1(x13722)))),
% 8.63/8.78 inference(scs_inference,[],[82,78,1353,1241,1274,1284,1313,668,972,826,1113,1114,1323,1185,1249,1302,1247,543,343,1041,138,1350,58,63,33,56,34,35,31,30,29,32])).
% 8.63/8.78 cnf(1374,plain,
% 8.63/8.78 (E(f7(a8,a8),f7(f1(x13741),f1(x13742)))),
% 8.63/8.78 inference(scs_inference,[],[82,78,1353,1241,1274,1336,1284,1313,668,972,826,1113,1114,1323,1185,1249,1302,1247,543,343,1041,138,1350,58,63,33,56,34,35,31,30,29,32,2])).
% 8.63/8.78 cnf(1376,plain,
% 8.63/8.78 (~E(f13(a8,a8),f7(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[82,78,1353,1241,1274,1214,1336,1284,1346,1313,668,972,826,1113,1114,1323,1185,1352,1249,1302,1247,543,343,1136,1041,138,1350,58,63,33,56,34,35,31,30,29,32,2,27,3])).
% 8.63/8.78 cnf(1379,plain,
% 8.63/8.78 (~P1(f12(x13791))),
% 8.63/8.78 inference(scs_inference,[],[82,78,1353,1241,1274,1214,1336,1284,1346,1313,668,972,826,1113,1114,1323,1185,1352,1249,1302,1247,543,343,1136,1041,138,1350,58,63,33,56,34,35,31,30,29,32,2,27,3,50])).
% 8.63/8.78 cnf(1381,plain,
% 8.63/8.78 (E(f15(a8,f13(a8,a8)),a8)),
% 8.63/8.78 inference(scs_inference,[],[1285,50])).
% 8.63/8.78 cnf(1388,plain,
% 8.63/8.78 (~P2(x13881,f5(a8))),
% 8.63/8.78 inference(scs_inference,[],[779,1116,341,1341,836,1285,38,1096,50,58,28,56])).
% 8.63/8.78 cnf(1392,plain,
% 8.63/8.78 (E(f13(x13921,f1(x13922)),f13(x13921,a8))),
% 8.63/8.78 inference(rename_variables,[],[77])).
% 8.63/8.78 cnf(1398,plain,
% 8.63/8.78 (~P4(x13981,a8,f7(f15(x13982,x13983),a8))),
% 8.63/8.78 inference(scs_inference,[],[71,77,1392,779,1116,341,1341,836,922,788,724,1285,951,1163,311,948,38,1096,50,58,28,56,33,34,35,31,30])).
% 8.63/8.78 cnf(1405,plain,
% 8.63/8.78 (~E(f7(a8,a8),f13(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[71,77,1392,779,1376,1116,910,341,489,1276,1341,836,922,788,724,1285,1323,951,1163,311,948,38,1096,50,58,28,56,33,34,35,31,30,29,32,2])).
% 8.63/8.78 cnf(1406,plain,
% 8.63/8.78 (~E(f3(x14061,f5(x14061)),f6(x14062,x14063))),
% 8.63/8.78 inference(scs_inference,[],[71,77,1392,779,1090,1376,1116,910,341,489,1276,1341,836,922,788,724,171,1285,1323,951,1163,311,948,38,1096,50,58,28,56,33,34,35,31,30,29,32,2,3])).
% 8.63/8.78 cnf(1409,plain,
% 8.63/8.78 (P1(f15(f15(a8,a8),f1(x14091)))),
% 8.63/8.78 inference(scs_inference,[],[71,77,1392,779,1090,1376,1116,910,341,489,1276,1341,836,922,788,724,171,1285,348,1323,951,1163,311,948,823,38,1096,50,58,28,56,33,34,35,31,30,29,32,2,3,27])).
% 8.63/8.78 cnf(1413,plain,
% 8.63/8.78 (~P3(a8,a8,f7(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[71,77,1392,779,1090,1376,1116,910,1119,341,489,1276,1341,836,922,788,724,171,1285,348,1323,951,1163,311,948,823,38,1096,50,58,28,56,33,34,35,31,30,29,32,2,3,27,59,61])).
% 8.63/8.78 cnf(1417,plain,
% 8.63/8.78 (E(f16(x14171,x14172),f13(f14(x14171,x14172),x14171))),
% 8.63/8.78 inference(scs_inference,[],[1364,61])).
% 8.63/8.78 cnf(1421,plain,
% 8.63/8.78 (P4(f13(a8,a8),x14211,f14(f1(x14212),x14211))),
% 8.63/8.78 inference(scs_inference,[],[78,1364,371,808,61,60,28])).
% 8.63/8.78 cnf(1427,plain,
% 8.63/8.78 (P3(f14(x14271,x14272),x14271,f16(x14271,x14272))),
% 8.63/8.78 inference(rename_variables,[],[1364])).
% 8.63/8.78 cnf(1428,plain,
% 8.63/8.78 (P3(f14(x14281,x14282),f13(x14281,f1(x14281)),f16(x14281,x14282))),
% 8.63/8.78 inference(scs_inference,[],[78,1364,1427,1226,1330,371,808,571,95,61,60,28,56,33,34])).
% 8.63/8.78 cnf(1430,plain,
% 8.63/8.78 (P3(f14(f1(x14301),x14302),f1(x14301),f16(a8,x14302))),
% 8.63/8.78 inference(scs_inference,[],[71,78,1364,1427,1226,1330,371,808,571,95,61,60,28,56,33,34,35])).
% 8.63/8.78 cnf(1433,plain,
% 8.63/8.78 (P2(f13(f5(x14331),f13(a8,a8)),f7(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[71,78,1364,1427,1226,1330,371,1083,808,211,571,95,61,60,28,56,33,34,35,31])).
% 8.63/8.78 cnf(1435,plain,
% 8.63/8.78 (~P4(x14351,a8,f7(f15(x14352,x14353),f1(x14354)))),
% 8.63/8.78 inference(scs_inference,[],[71,80,78,1364,1427,1226,1330,1398,371,1083,808,211,571,95,61,60,28,56,33,34,35,31,30])).
% 8.63/8.78 cnf(1436,plain,
% 8.63/8.78 (E(f7(x14361,f1(x14362)),f7(x14361,a8))),
% 8.63/8.78 inference(rename_variables,[],[80])).
% 8.63/8.78 cnf(1439,plain,
% 8.63/8.78 (P2(f15(a8,a8),f12(a8))),
% 8.63/8.78 inference(scs_inference,[],[71,80,1436,78,1364,1427,857,1226,1330,1398,1102,520,371,1083,808,211,571,95,61,60,28,56,33,34,35,31,30,29,32])).
% 8.63/8.78 cnf(1442,plain,
% 8.63/8.78 (P1(f14(x14421,f1(x14422)))),
% 8.63/8.78 inference(scs_inference,[],[71,80,1436,78,1364,1427,857,1257,1226,758,1330,1398,1102,520,371,1083,808,211,583,571,95,61,60,28,56,33,34,35,31,30,29,32,2,27])).
% 8.63/8.78 cnf(1444,plain,
% 8.63/8.78 (E(f15(f1(x14441),f1(x14442)),f15(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[71,83,80,1436,82,78,1364,1427,857,1257,1226,758,1330,1398,1102,520,371,1083,808,211,583,571,95,61,60,28,56,33,34,35,31,30,29,32,2,27,3])).
% 8.63/8.78 cnf(1449,plain,
% 8.63/8.78 (E(f15(f15(a8,a8),f1(x14491)),a8)),
% 8.63/8.78 inference(scs_inference,[],[1409,50])).
% 8.63/8.78 cnf(1451,plain,
% 8.63/8.78 (E(f13(f5(x14511),f13(a8,a8)),f13(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[1409,1433,1374,1216,50,58])).
% 8.63/8.78 cnf(1456,plain,
% 8.63/8.78 (~P4(x14561,f12(a8),f15(f1(x14562),a8))),
% 8.63/8.78 inference(scs_inference,[],[83,1409,1433,1374,1439,1435,1216,655,50,58,60,63])).
% 8.63/8.78 cnf(1461,plain,
% 8.63/8.78 (~E(f14(f1(x14611),f1(x14612)),f1(x14613))),
% 8.63/8.78 inference(scs_inference,[],[83,1409,1433,1374,1439,1430,1435,1274,1216,655,50,58,60,63,56,33])).
% 8.63/8.78 cnf(1464,plain,
% 8.63/8.78 (P3(f14(x14641,x14642),f13(x14641,a8),f16(x14641,x14642))),
% 8.63/8.78 inference(scs_inference,[],[83,77,1428,1409,1433,1374,1439,1430,1435,1274,1216,655,50,58,60,63,56,33,34])).
% 8.63/8.78 cnf(1466,plain,
% 8.63/8.78 (E(f13(x14661,f1(x14662)),f13(x14661,a8))),
% 8.63/8.78 inference(rename_variables,[],[77])).
% 8.63/8.78 cnf(1471,plain,
% 8.63/8.78 (~E(f15(a8,a8),f6(x14711,x14712))),
% 8.63/8.78 inference(scs_inference,[],[83,77,1428,1409,1433,1374,1439,1430,469,1435,1050,1260,1274,762,1216,655,50,58,60,63,56,33,34,35,30,31])).
% 8.63/8.78 cnf(1472,plain,
% 8.63/8.78 (P4(f13(a8,a8),f6(x14721,x14722),f14(f1(x14723),f6(x14724,x14722)))),
% 8.63/8.78 inference(scs_inference,[],[83,77,1428,1421,1409,1433,1374,1439,1430,469,1435,1050,1260,394,1274,762,1216,655,50,58,60,63,56,33,34,35,30,31,29])).
% 8.63/8.78 cnf(1479,plain,
% 8.63/8.78 (~E(f15(f15(a8,a8),f1(x14791)),f12(x14792))),
% 8.63/8.78 inference(scs_inference,[],[84,83,77,1466,1428,1421,1406,1379,1409,1433,1405,1374,1439,1430,469,1435,1050,1260,394,1274,762,1216,551,655,50,58,60,63,56,33,34,35,30,31,29,32,2,3,27])).
% 8.63/8.78 cnf(1484,plain,
% 8.63/8.78 (E(f14(f1(x14841),f15(x14842,a8)),f14(a8,x14842))),
% 8.63/8.78 inference(scs_inference,[],[84,83,77,1466,1428,1421,1406,1317,1379,1409,1433,1405,1374,1439,1430,469,1435,1161,1050,1260,394,1274,762,1216,551,655,50,58,60,63,56,33,34,35,30,31,29,32,2,3,27,54,49,62])).
% 8.63/8.78 cnf(1486,plain,
% 8.63/8.78 (~P3(a8,f1(x14861),f7(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[84,83,77,1466,1428,1421,1406,1317,1379,1409,1433,1405,1374,1439,1430,469,1435,1161,1050,1260,394,1274,762,1216,551,655,50,58,60,63,56,33,34,35,30,31,29,32,2,3,27,54,49,62,61])).
% 8.63/8.78 cnf(1501,plain,
% 8.63/8.78 (E(f15(x15011,f1(x15012)),f15(x15011,a8))),
% 8.63/8.78 inference(rename_variables,[],[82])).
% 8.63/8.78 cnf(1516,plain,
% 8.63/8.78 (E(f13(f14(x15161,x15162),x15161),f16(x15161,x15162))),
% 8.63/8.78 inference(scs_inference,[],[81,82,1501,78,1417,1413,1464,1388,1456,1223,798,834,1449,898,983,1175,590,1409,37,61,60,63,56,33,34,35,30,31,29,32,2])).
% 8.63/8.78 cnf(1520,plain,
% 8.63/8.78 (P1(f14(x15201,f13(a8,a8)))),
% 8.63/8.78 inference(scs_inference,[],[84,81,82,1501,78,1417,1461,1413,1464,1388,1456,1223,798,834,1449,898,198,983,1175,590,1409,571,37,61,60,63,56,33,34,35,30,31,29,32,2,3,27])).
% 8.63/8.78 cnf(1523,plain,
% 8.63/8.78 (P1(f3(x15231,f13(a8,a8)))),
% 8.63/8.78 inference(scs_inference,[],[84,81,82,1501,78,1417,1461,1413,1464,1388,1456,1223,798,834,1449,898,198,983,1175,590,1409,571,37,61,60,63,56,33,34,35,30,31,29,32,2,3,27,220])).
% 8.63/8.78 cnf(1541,plain,
% 8.63/8.78 (P3(f12(x15411),f13(a8,a8),f12(x15411))),
% 8.63/8.78 inference(scs_inference,[],[75,77,1451,1523,400,1361,1484,185,879,36,141,59,63,56,33,34])).
% 8.63/8.78 cnf(1546,plain,
% 8.63/8.78 (E(f14(f1(x15461),x15462),f14(a8,x15462))),
% 8.63/8.78 inference(rename_variables,[],[85])).
% 8.63/8.78 cnf(1547,plain,
% 8.63/8.78 (P2(f13(x15471,x15472),f12(f15(x15471,x15472)))),
% 8.63/8.78 inference(scs_inference,[],[85,75,77,1472,1451,1523,400,1361,1484,185,430,203,879,36,141,296,59,63,56,33,34,35,30,31])).
% 8.63/8.78 cnf(1551,plain,
% 8.63/8.78 (P2(f15(a8,a8),f6(x15511,a8))),
% 8.63/8.78 inference(scs_inference,[],[85,82,75,77,1472,1451,1523,876,400,1361,1115,1484,185,430,611,203,879,36,141,296,59,63,56,33,34,35,30,31,29,32])).
% 8.63/8.78 cnf(1553,plain,
% 8.63/8.78 (~E(f6(x15531,x15532),f15(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[85,82,75,77,1472,1451,1471,1523,876,400,1361,1115,1484,185,430,611,203,879,36,141,296,59,63,56,33,34,35,30,31,29,32,2])).
% 8.63/8.78 cnf(1554,plain,
% 8.63/8.78 (E(f14(f1(x15541),f1(x15542)),f14(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[85,1546,84,82,75,77,1472,1451,1471,1523,876,400,1361,1115,1484,185,430,611,203,879,36,141,296,59,63,56,33,34,35,30,31,29,32,2,3])).
% 8.63/8.78 cnf(1578,plain,
% 8.63/8.78 (P3(f12(x15781),f13(a8,a8),f12(x15781))),
% 8.63/8.78 inference(rename_variables,[],[1541])).
% 8.63/8.78 cnf(1579,plain,
% 8.63/8.78 (P3(f1(x15791),f1(a8),a8)),
% 8.63/8.78 inference(scs_inference,[],[73,1541,1442,1098,1554,1551,810,92,109,938,1247,264,138,97,58,60,63,56,33,34])).
% 8.63/8.78 cnf(1585,plain,
% 8.63/8.78 (P2(f15(a8,a8),f7(f1(x15851),f1(x15852)))),
% 8.63/8.78 inference(scs_inference,[],[73,83,1541,1578,1442,1098,1554,1551,810,92,109,280,938,502,383,1247,264,138,97,58,60,63,56,33,34,35,30,31])).
% 8.63/8.78 cnf(1587,plain,
% 8.63/8.78 (E(f15(f1(x15871),x15872),f15(a8,x15872))),
% 8.63/8.78 inference(rename_variables,[],[83])).
% 8.63/8.78 cnf(1591,plain,
% 8.63/8.78 (E(f15(f1(x15911),x15912),f15(a8,x15912))),
% 8.63/8.78 inference(rename_variables,[],[83])).
% 8.63/8.78 cnf(1592,plain,
% 8.63/8.78 (E(f15(a8,a8),f15(f1(x15921),f1(x15922)))),
% 8.63/8.78 inference(scs_inference,[],[73,83,1587,1541,1578,1236,1442,1444,1098,1554,1372,1551,810,92,109,280,938,502,383,1247,361,264,138,97,58,60,63,56,33,34,35,30,31,29,32,2])).
% 8.63/8.78 cnf(1596,plain,
% 8.63/8.78 (~P4(x15961,f1(x15962),f16(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[73,83,1587,1591,1541,1578,1236,1442,1444,1553,1098,1554,1372,1551,810,92,109,1379,280,938,502,383,1247,361,264,138,97,58,60,63,56,33,34,35,30,31,29,32,2,3,27,62])).
% 8.63/8.78 cnf(1604,plain,
% 8.63/8.78 (E(f13(f15(x16041,a8),a8),x16041)),
% 8.63/8.78 inference(scs_inference,[],[1547,1091,1249,658,625,59,62,58])).
% 8.63/8.78 cnf(1605,plain,
% 8.63/8.78 (P2(f13(x16051,x16052),f12(f15(x16051,x16052)))),
% 8.63/8.78 inference(rename_variables,[],[1547])).
% 8.63/8.78 cnf(1609,plain,
% 8.63/8.78 (P1(f14(x16091,f13(a8,a8)))),
% 8.63/8.78 inference(rename_variables,[],[1520])).
% 8.63/8.78 cnf(1610,plain,
% 8.63/8.78 (E(f14(f1(x16101),x16102),f14(a8,x16102))),
% 8.63/8.78 inference(rename_variables,[],[85])).
% 8.63/8.78 cnf(1620,plain,
% 8.63/8.78 (~P4(x16201,f1(x16202),f13(f14(a8,a8),a8))),
% 8.63/8.78 inference(scs_inference,[],[85,1610,81,1516,1547,1520,1609,1596,1486,1381,1091,1551,1249,658,625,1413,655,59,62,58,63,56,33,34,35,30])).
% 8.63/8.78 cnf(1630,plain,
% 8.63/8.78 (P1(f13(f4(x16301),f1(x16302)))),
% 8.63/8.78 inference(scs_inference,[],[86,85,1610,81,82,1516,1547,1605,1479,1520,1609,1596,708,1486,1381,1091,930,338,1551,1249,658,625,1413,153,655,59,62,58,63,56,33,34,35,30,29,32,2,3,27])).
% 8.63/8.78 cnf(1643,plain,
% 8.63/8.78 (E(a8,f13(f1(x16431),f1(a8)))),
% 8.63/8.78 inference(scs_inference,[],[1604,1579,49,61])).
% 8.63/8.78 cnf(1646,plain,
% 8.63/8.78 (P2(f15(a8,a8),f7(f1(x16461),f1(x16462)))),
% 8.63/8.78 inference(rename_variables,[],[1585])).
% 8.63/8.78 cnf(1647,plain,
% 8.63/8.78 (E(f7(x16471,f1(x16472)),f7(x16471,a8))),
% 8.63/8.78 inference(rename_variables,[],[80])).
% 8.63/8.78 cnf(1655,plain,
% 8.63/8.78 (P3(f13(a8,a8),f1(x16551),f13(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[80,78,1585,1646,1205,1320,1604,1234,1579,1471,788,93,571,49,61,58,56,33,34,35])).
% 8.63/8.78 cnf(1657,plain,
% 8.63/8.78 (P4(f1(x16571),f1(x16572),f14(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[84,80,78,1585,1646,1205,988,1320,1604,1234,1579,1471,788,93,571,49,61,58,56,33,34,35,30])).
% 8.63/8.78 cnf(1662,plain,
% 8.63/8.78 (P2(f15(f1(x16621),f1(x16622)),f7(a8,a8))),
% 8.63/8.78 inference(scs_inference,[],[84,80,1647,81,78,1585,1646,1292,1205,988,1320,1604,1234,1579,1471,499,788,93,571,49,61,58,56,33,34,35,30,29,32])).
% 8.63/8.78 cnf(1669,plain,
% 8.63/8.78 (P1(f15(f1(x16691),f1(x16692)))),
% 8.63/8.78 inference(scs_inference,[],[74,84,80,1647,81,78,1585,1646,1592,1292,1030,1205,988,1320,1106,1604,1234,1579,1471,499,788,93,571,655,49,61,58,56,33,34,35,30,29,32,2,3,27])).
% 8.63/8.78 cnf(1690,plain,
% 8.63/8.78 ($false),
% 8.63/8.78 inference(scs_inference,[],[77,1630,1655,1662,1669,1657,1620,890,838,1643,398,1046,299,331,425,329,141,436,246,62,49,28,56,33,34,35,31,30]),
% 8.63/8.78 ['proof']).
% 8.63/8.78 % SZS output end Proof
% 8.63/8.78 % Total time :8.150000s
%------------------------------------------------------------------------------