TSTP Solution File: NUN054+2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUN054+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 : n024.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 12:45:17 EDT 2023
% Result : Theorem 2.98s 3.06s
% Output : CNFRefutation 2.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : NUN054+2 : TPTP v8.1.2. Released v7.3.0.
% 0.06/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 09:35:38 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.17/0.58 start to proof:theBenchmark
% 2.98/3.06 %-------------------------------------------
% 2.98/3.06 % File :CSE---1.6
% 2.98/3.06 % Problem :theBenchmark
% 2.98/3.06 % Transform :cnf
% 2.98/3.06 % Format :tptp:raw
% 2.98/3.06 % Command :java -jar mcs_scs.jar %d %s
% 2.98/3.06
% 2.98/3.06 % Result :Theorem 2.440000s
% 2.98/3.06 % Output :CNFRefutation 2.440000s
% 2.98/3.06 %-------------------------------------------
% 2.98/3.06 %------------------------------------------------------------------------------
% 2.98/3.06 % File : NUN054+2 : TPTP v8.1.2. Released v7.3.0.
% 2.98/3.06 % Domain : Number Theory
% 2.98/3.06 % Problem : Robinson arithmetic: 0+1=1
% 2.98/3.06 % Version : Especial.
% 2.98/3.06 % English :
% 2.98/3.06
% 2.98/3.06 % Refs : [BBJ03] Boolos et al. (2003), Computability and Logic
% 2.98/3.06 % : [Smi07] Smith (2007), An Introduction to Goedel's Theorems
% 2.98/3.06 % : [Lam18] Lampert (2018), Email to Geoff Sutcliffe
% 2.98/3.06 % Source : [Lam18]
% 2.98/3.06 % Names : zeroplusoneeqone [Lam18]
% 2.98/3.06
% 2.98/3.06 % Status : Theorem
% 2.98/3.06 % Rating : 0.28 v7.5.0, 0.31 v7.4.0, 0.23 v7.3.0
% 2.98/3.06 % Syntax : Number of formulae : 12 ( 0 unt; 0 def)
% 2.98/3.06 % Number of atoms : 51 ( 18 equ)
% 2.98/3.06 % Maximal formula atoms : 7 ( 4 avg)
% 2.98/3.06 % Number of connectives : 53 ( 14 ~; 10 |; 29 &)
% 2.98/3.06 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 2.98/3.06 % Maximal formula depth : 9 ( 7 avg)
% 2.98/3.06 % Maximal term depth : 1 ( 1 avg)
% 2.98/3.06 % Number of predicates : 5 ( 4 usr; 0 prp; 1-3 aty)
% 2.98/3.06 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 2.98/3.06 % Number of variables : 49 ( 23 !; 26 ?)
% 2.98/3.06 % SPC : FOF_THM_RFO_SEQ
% 2.98/3.06
% 2.98/3.06 % Comments : Translated to FOL with equality.
% 2.98/3.06 %------------------------------------------------------------------------------
% 2.98/3.06 include('Axioms/NUM008+0.ax').
% 2.98/3.06 %------------------------------------------------------------------------------
% 2.98/3.06 fof(zeroplusoneeqone,conjecture,
% 2.98/3.06 ? [Y1] :
% 2.98/3.06 ( ? [Y2] :
% 2.98/3.06 ( ? [Y4] :
% 2.98/3.06 ( r1(Y4)
% 2.98/3.06 & r3(Y4,Y2,Y1) )
% 2.98/3.06 & ? [Y5] :
% 2.98/3.06 ( r1(Y5)
% 2.98/3.06 & r2(Y5,Y2) ) )
% 2.98/3.06 & ? [Y3] :
% 2.98/3.06 ( Y1 = Y3
% 2.98/3.06 & ? [Y6] :
% 2.98/3.06 ( r1(Y6)
% 2.98/3.06 & r2(Y6,Y3) ) ) ) ).
% 2.98/3.06
% 2.98/3.06 %------------------------------------------------------------------------------
% 2.98/3.06 %-------------------------------------------
% 2.98/3.06 % Proof found
% 2.98/3.06 % SZS status Theorem for theBenchmark
% 2.98/3.06 % SZS output start Proof
% 2.98/3.07 %ClaNum:63(EqnAxiom:35)
% 2.98/3.07 %VarNum:117(SingletonVarNum:56)
% 2.98/3.07 %MaxLitNum:7
% 2.98/3.07 %MaxfuncDepth:1
% 2.98/3.07 %SharedTerms:1
% 2.98/3.07 %goalClause: 63
% 2.98/3.07 [36]P1(f1(x361))
% 2.98/3.07 [37]P1(f4(x371))
% 2.98/3.07 [38]P1(f5(x381))
% 2.98/3.07 [41]P3(x411,f1(x411),x411)
% 2.98/3.07 [43]P4(x431,f5(x431),f4(x431))
% 2.98/3.07 [39]P2(x391,f6(x392,x391))
% 2.98/3.07 [40]P2(x401,f2(x402,x401))
% 2.98/3.07 [42]P2(f15(x421,x422),f7(x421,x422))
% 2.98/3.07 [44]P3(x441,x442,f15(x441,x442))
% 2.98/3.07 [45]P4(x451,x452,f3(x451,x452))
% 2.98/3.07 [46]P3(x461,f6(x461,x462),f7(x461,x462))
% 2.98/3.07 [47]P4(x471,f2(x471,x472),f16(x471,x472))
% 2.98/3.07 [48]P3(f3(x481,x482),x481,f16(x481,x482))
% 2.98/3.07 [49]P1(x491)+~E(x491,a8)
% 2.98/3.07 [50]~P1(x501)+E(x501,a8)
% 2.98/3.07 [51]E(f11(x511),x511)+E(f9(x511),x511)
% 2.98/3.07 [52]E(f11(x521),x521)+P1(f9(x521))
% 2.98/3.07 [55]P2(f10(x551),f11(x551))+E(f9(x551),x551)
% 2.98/3.07 [57]P2(f10(x571),f11(x571))+P1(f9(x571))
% 2.98/3.07 [53]P2(x531,x532)+~E(x532,f12(x531))
% 2.98/3.07 [54]~P2(x542,x541)+E(x541,f12(x542))
% 2.98/3.07 [59]P3(x591,x592,x593)+~E(x593,f13(x591,x592))
% 2.98/3.07 [60]P4(x601,x602,x603)+~E(x603,f14(x601,x602))
% 2.98/3.07 [61]~P3(x612,x613,x611)+E(x611,f13(x612,x613))
% 2.98/3.07 [62]~P4(x622,x623,x621)+E(x621,f14(x622,x623))
% 2.98/3.07 [56]~P1(x561)+~E(x561,x562)+~P2(x563,x562)
% 2.98/3.07 [58]~P2(x582,x584)+~P2(x581,x583)+E(x581,x582)+~E(x583,x584)
% 2.98/3.07 [63]~P2(x633,x632)+~P3(x635,x636,x631)+~E(x631,x632)+~P1(x633)+~P2(x634,x636)+~P1(x634)+~P1(x635)
% 2.98/3.07 %EqnAxiom
% 2.98/3.07 [1]E(x11,x11)
% 2.98/3.07 [2]E(x22,x21)+~E(x21,x22)
% 2.98/3.07 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.98/3.07 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 2.98/3.07 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 2.98/3.07 [6]~E(x61,x62)+E(f5(x61),f5(x62))
% 2.98/3.07 [7]~E(x71,x72)+E(f6(x71,x73),f6(x72,x73))
% 2.98/3.07 [8]~E(x81,x82)+E(f6(x83,x81),f6(x83,x82))
% 2.98/3.07 [9]~E(x91,x92)+E(f2(x91,x93),f2(x92,x93))
% 2.98/3.07 [10]~E(x101,x102)+E(f2(x103,x101),f2(x103,x102))
% 2.98/3.07 [11]~E(x111,x112)+E(f14(x111,x113),f14(x112,x113))
% 2.98/3.07 [12]~E(x121,x122)+E(f14(x123,x121),f14(x123,x122))
% 2.98/3.07 [13]~E(x131,x132)+E(f15(x131,x133),f15(x132,x133))
% 2.98/3.07 [14]~E(x141,x142)+E(f15(x143,x141),f15(x143,x142))
% 2.98/3.07 [15]~E(x151,x152)+E(f7(x151,x153),f7(x152,x153))
% 2.98/3.07 [16]~E(x161,x162)+E(f7(x163,x161),f7(x163,x162))
% 2.98/3.07 [17]~E(x171,x172)+E(f10(x171),f10(x172))
% 2.98/3.07 [18]~E(x181,x182)+E(f13(x181,x183),f13(x182,x183))
% 2.98/3.07 [19]~E(x191,x192)+E(f13(x193,x191),f13(x193,x192))
% 2.98/3.07 [20]~E(x201,x202)+E(f9(x201),f9(x202))
% 2.98/3.07 [21]~E(x211,x212)+E(f3(x211,x213),f3(x212,x213))
% 2.98/3.07 [22]~E(x221,x222)+E(f3(x223,x221),f3(x223,x222))
% 2.98/3.07 [23]~E(x231,x232)+E(f12(x231),f12(x232))
% 2.98/3.07 [24]~E(x241,x242)+E(f11(x241),f11(x242))
% 2.98/3.07 [25]~E(x251,x252)+E(f16(x251,x253),f16(x252,x253))
% 2.98/3.07 [26]~E(x261,x262)+E(f16(x263,x261),f16(x263,x262))
% 2.98/3.07 [27]~P1(x271)+P1(x272)+~E(x271,x272)
% 2.98/3.07 [28]P3(x282,x283,x284)+~E(x281,x282)+~P3(x281,x283,x284)
% 2.98/3.07 [29]P3(x293,x292,x294)+~E(x291,x292)+~P3(x293,x291,x294)
% 2.98/3.07 [30]P3(x303,x304,x302)+~E(x301,x302)+~P3(x303,x304,x301)
% 2.98/3.07 [31]P2(x312,x313)+~E(x311,x312)+~P2(x311,x313)
% 2.98/3.07 [32]P2(x323,x322)+~E(x321,x322)+~P2(x323,x321)
% 2.98/3.07 [33]P4(x332,x333,x334)+~E(x331,x332)+~P4(x331,x333,x334)
% 2.98/3.07 [34]P4(x343,x342,x344)+~E(x341,x342)+~P4(x343,x341,x344)
% 2.98/3.07 [35]P4(x353,x354,x352)+~E(x351,x352)+~P4(x353,x354,x351)
% 2.98/3.07
% 2.98/3.07 %-------------------------------------------
% 2.98/3.07 cnf(64,plain,
% 2.98/3.07 (~E(f1(x641),f6(x642,x643))),
% 2.98/3.07 inference(scs_inference,[],[36,39,56])).
% 2.98/3.07 cnf(65,plain,
% 2.98/3.07 (~E(f6(x651,x652),f1(x653))),
% 2.98/3.07 inference(scs_inference,[],[36,39,56,2])).
% 2.98/3.07 cnf(66,plain,
% 2.98/3.08 (E(f1(x661),a8)),
% 2.98/3.08 inference(scs_inference,[],[36,39,56,2,50])).
% 2.98/3.08 cnf(68,plain,
% 2.98/3.08 (E(f6(x681,x682),f12(x682))),
% 2.98/3.08 inference(scs_inference,[],[36,39,56,2,50,54])).
% 2.98/3.08 cnf(70,plain,
% 2.98/3.08 (E(f16(x701,f1(x702)),f16(x701,a8))),
% 2.98/3.08 inference(scs_inference,[],[36,39,56,2,50,54,26])).
% 2.98/3.08 cnf(71,plain,
% 2.98/3.08 (E(f16(f1(x711),x712),f16(a8,x712))),
% 2.98/3.08 inference(scs_inference,[],[36,39,56,2,50,54,26,25])).
% 2.98/3.08 cnf(73,plain,
% 2.98/3.08 (E(f12(f1(x731)),f12(a8))),
% 2.98/3.08 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23])).
% 2.98/3.08 cnf(74,plain,
% 2.98/3.08 (E(f3(x741,f1(x742)),f3(x741,a8))),
% 2.98/3.08 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22])).
% 2.98/3.08 cnf(75,plain,
% 2.98/3.08 (E(f3(f1(x751),x752),f3(a8,x752))),
% 2.98/3.08 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21])).
% 2.98/3.08 cnf(77,plain,
% 2.98/3.08 (E(f13(x771,f1(x772)),f13(x771,a8))),
% 2.98/3.08 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19])).
% 2.98/3.08 cnf(78,plain,
% 2.98/3.08 (E(f13(f1(x781),x782),f13(a8,x782))),
% 2.98/3.08 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18])).
% 2.98/3.08 cnf(79,plain,
% 2.98/3.08 (E(f10(f1(x791)),f10(a8))),
% 2.98/3.08 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17])).
% 2.98/3.08 cnf(80,plain,
% 2.98/3.08 (E(f7(x801,f1(x802)),f7(x801,a8))),
% 2.98/3.08 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16])).
% 2.98/3.08 cnf(81,plain,
% 2.98/3.08 (E(f7(f1(x811),x812),f7(a8,x812))),
% 2.98/3.08 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15])).
% 2.98/3.08 cnf(82,plain,
% 2.98/3.08 (E(f15(x821,f1(x822)),f15(x821,a8))),
% 2.98/3.08 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14])).
% 2.98/3.08 cnf(83,plain,
% 2.98/3.08 (E(f15(f1(x831),x832),f15(a8,x832))),
% 2.98/3.08 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13])).
% 2.98/3.08 cnf(84,plain,
% 2.98/3.08 (E(f14(x841,f1(x842)),f14(x841,a8))),
% 2.98/3.08 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12])).
% 2.98/3.08 cnf(85,plain,
% 2.98/3.08 (E(f14(f1(x851),x852),f14(a8,x852))),
% 2.98/3.08 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])).
% 2.98/3.08 cnf(86,plain,
% 2.98/3.08 (E(f2(x861,f1(x862)),f2(x861,a8))),
% 2.98/3.08 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])).
% 2.98/3.08 cnf(87,plain,
% 2.98/3.08 (E(f2(f1(x871),x872),f2(a8,x872))),
% 2.98/3.08 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])).
% 2.98/3.08 cnf(88,plain,
% 2.98/3.08 (E(f6(x881,f1(x882)),f6(x881,a8))),
% 2.98/3.08 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])).
% 2.98/3.08 cnf(90,plain,
% 2.98/3.08 (E(f5(f1(x901)),f5(a8))),
% 2.98/3.08 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])).
% 2.98/3.08 cnf(91,plain,
% 2.98/3.08 (E(f4(f1(x911)),f4(a8))),
% 2.98/3.08 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])).
% 2.98/3.08 cnf(93,plain,
% 2.98/3.08 (E(f3(x931,x932),f14(x931,x932))),
% 2.98/3.08 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])).
% 2.98/3.08 cnf(95,plain,
% 2.98/3.08 (E(x951,f13(x951,f1(x951)))),
% 2.98/3.08 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])).
% 2.98/3.08 cnf(97,plain,
% 2.98/3.08 (P1(a8)),
% 2.98/3.08 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])).
% 2.98/3.08 cnf(98,plain,
% 2.98/3.08 (~E(a8,f6(x981,x982))),
% 2.98/3.08 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])).
% 2.98/3.08 cnf(101,plain,
% 2.98/3.08 (P2(a8,f12(f1(x1011)))),
% 2.98/3.08 inference(scs_inference,[],[36,41,45,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,62,61,27,3,58,53])).
% 2.98/3.08 cnf(108,plain,
% 2.98/3.08 (P4(x1081,a8,f3(x1081,f1(x1082)))),
% 2.98/3.08 inference(scs_inference,[],[36,41,45,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,62,61,27,3,58,53,60,59,35,34])).
% 2.98/3.08 cnf(120,plain,
% 2.98/3.08 (~E(f7(a8,a8),f2(x1201,a8))),
% 2.98/3.08 inference(scs_inference,[],[40,46,39,97,63])).
% 2.98/3.08 cnf(121,plain,
% 2.98/3.08 (P2(x1211,f2(x1212,x1211))),
% 2.98/3.08 inference(rename_variables,[],[40])).
% 2.98/3.08 cnf(122,plain,
% 2.98/3.08 (P3(x1221,f6(x1221,x1222),f7(x1221,x1222))),
% 2.98/3.08 inference(rename_variables,[],[46])).
% 2.98/3.08 cnf(123,plain,
% 2.98/3.08 (P2(x1231,f6(x1232,x1231))),
% 2.98/3.08 inference(rename_variables,[],[39])).
% 2.98/3.08 cnf(125,plain,
% 2.98/3.08 (~P1(f6(x1251,f1(x1252)))),
% 2.98/3.08 inference(scs_inference,[],[40,46,39,68,101,97,63,56])).
% 2.98/3.08 cnf(128,plain,
% 2.98/3.08 (E(f13(x1281,f1(x1281)),x1281)),
% 2.98/3.08 inference(scs_inference,[],[40,46,39,95,68,101,97,63,56,2])).
% 2.98/3.08 cnf(129,plain,
% 2.98/3.08 (P4(f13(x1291,f1(x1291)),f5(x1291),f4(x1291))),
% 2.98/3.08 inference(scs_inference,[],[40,43,46,39,95,68,101,97,63,56,2,33])).
% 2.98/3.08 cnf(131,plain,
% 2.98/3.08 (P2(f13(x1311,f1(x1311)),f2(x1312,x1311))),
% 2.98/3.08 inference(scs_inference,[],[40,121,43,46,39,95,68,101,97,63,56,2,33,31])).
% 2.98/3.08 cnf(132,plain,
% 2.98/3.08 (P2(x1321,f2(x1322,x1321))),
% 2.98/3.08 inference(rename_variables,[],[40])).
% 2.98/3.08 cnf(133,plain,
% 2.98/3.08 (P3(x1331,f1(x1331),f13(x1331,f1(x1331)))),
% 2.98/3.08 inference(scs_inference,[],[40,121,43,46,41,39,95,68,101,97,63,56,2,33,31,30])).
% 2.98/3.08 cnf(135,plain,
% 2.98/3.08 (P3(f13(x1351,f1(x1351)),f6(x1351,x1352),f7(x1351,x1352))),
% 2.98/3.08 inference(scs_inference,[],[40,121,43,46,122,48,41,39,95,68,101,97,63,56,2,33,31,30,29,28])).
% 2.98/3.08 cnf(136,plain,
% 2.98/3.08 (P4(x1361,f13(x1362,f1(x1362)),f3(x1361,x1362))),
% 2.98/3.08 inference(scs_inference,[],[40,121,43,46,122,48,41,45,39,95,68,101,97,63,56,2,33,31,30,29,28,34])).
% 2.98/3.08 cnf(137,plain,
% 2.98/3.08 (E(x1371,f13(x1371,a8))),
% 2.98/3.08 inference(scs_inference,[],[40,121,43,46,122,48,41,45,39,95,68,77,101,97,63,56,2,33,31,30,29,28,34,3])).
% 2.98/3.08 cnf(140,plain,
% 2.98/3.08 (P1(f13(a8,f1(a8)))),
% 2.98/3.08 inference(scs_inference,[],[40,121,43,46,122,48,41,45,39,95,68,77,101,97,63,56,2,33,31,30,29,28,34,3,49])).
% 2.98/3.08 cnf(143,plain,
% 2.98/3.08 (~E(f6(x1431,a8),f2(x1432,f6(x1433,x1434)))),
% 2.98/3.08 inference(scs_inference,[],[40,121,132,43,46,122,48,41,45,39,123,95,93,68,77,98,101,97,63,56,2,33,31,30,29,28,34,3,49,27,58])).
% 2.98/3.08 cnf(147,plain,
% 2.98/3.08 (~E(f15(f4(x1471),f2(x1472,a8)),f2(x1472,a8))),
% 2.98/3.08 inference(scs_inference,[],[37,44,131,140,63])).
% 2.98/3.08 cnf(151,plain,
% 2.98/3.08 (~E(f6(x1511,f1(x1512)),a8)),
% 2.98/3.08 inference(scs_inference,[],[37,44,131,125,140,63,49])).
% 2.98/3.08 cnf(154,plain,
% 2.98/3.08 (~E(f4(x1541),f6(x1542,f1(x1543)))),
% 2.98/3.08 inference(scs_inference,[],[37,44,131,125,143,140,63,49,2,27])).
% 2.98/3.08 cnf(158,plain,
% 2.98/3.08 (E(x1581,f13(x1581,a8))),
% 2.98/3.08 inference(rename_variables,[],[137])).
% 2.98/3.08 cnf(159,plain,
% 2.98/3.08 (P2(f15(x1591,x1592),f13(f7(x1591,x1592),a8))),
% 2.98/3.08 inference(scs_inference,[],[37,47,42,44,131,125,137,158,86,143,120,140,63,49,2,27,3,35,32])).
% 2.98/3.08 cnf(164,plain,
% 2.98/3.08 (~P2(f4(x1641),f7(a8,f4(x1641)))),
% 2.98/3.08 inference(scs_inference,[],[37,46,39,81,36,63])).
% 2.98/3.08 cnf(170,plain,
% 2.98/3.08 (P1(f13(a8,a8))),
% 2.98/3.08 inference(scs_inference,[],[37,46,39,70,81,137,97,36,63,2,27])).
% 2.98/3.08 cnf(172,plain,
% 2.98/3.08 (~E(f6(x1721,a8),a8)),
% 2.98/3.08 inference(scs_inference,[],[37,46,39,70,81,88,151,137,97,36,63,2,27,3])).
% 2.98/3.08 cnf(174,plain,
% 2.98/3.08 (~P1(f6(x1741,a8))),
% 2.98/3.08 inference(scs_inference,[],[37,46,39,70,81,88,151,137,97,36,63,2,27,3,50])).
% 2.98/3.08 cnf(176,plain,
% 2.98/3.08 (E(f5(x1761),a8)),
% 2.98/3.08 inference(scs_inference,[],[38,50])).
% 2.98/3.08 cnf(179,plain,
% 2.98/3.08 (P1(f13(f5(x1791),a8))),
% 2.98/3.08 inference(scs_inference,[],[38,154,137,50,2,27])).
% 2.98/3.08 cnf(180,plain,
% 2.98/3.08 (E(x1801,f13(x1801,a8))),
% 2.98/3.08 inference(rename_variables,[],[137])).
% 2.98/3.08 cnf(186,plain,
% 2.98/3.08 (E(f2(x1861,x1862),f12(x1862))),
% 2.98/3.08 inference(scs_inference,[],[38,40,154,74,75,78,137,50,2,27,3,59,54])).
% 2.98/3.08 cnf(189,plain,
% 2.98/3.08 (E(f12(x1891),f12(f13(x1891,a8)))),
% 2.98/3.08 inference(scs_inference,[],[38,40,154,74,75,78,137,180,50,2,27,3,59,54,24,23])).
% 2.98/3.08 cnf(190,plain,
% 2.98/3.08 (E(f3(x1901,x1902),f3(f13(x1901,a8),x1902))),
% 2.98/3.08 inference(scs_inference,[],[38,40,154,74,75,78,137,180,50,2,27,3,59,54,24,23,21])).
% 2.98/3.08 cnf(191,plain,
% 2.98/3.08 (E(f13(x1911,x1912),f13(x1911,f13(x1912,a8)))),
% 2.98/3.08 inference(scs_inference,[],[38,40,154,74,75,78,137,180,50,2,27,3,59,54,24,23,21,19])).
% 2.98/3.08 cnf(192,plain,
% 2.98/3.08 (E(f13(x1921,x1922),f13(f13(x1921,a8),x1922))),
% 2.98/3.08 inference(scs_inference,[],[38,40,154,74,75,78,137,180,50,2,27,3,59,54,24,23,21,19,18])).
% 2.98/3.08 cnf(193,plain,
% 2.98/3.08 (E(f7(x1931,x1932),f7(x1931,f13(x1932,a8)))),
% 2.98/3.08 inference(scs_inference,[],[38,40,154,74,75,78,137,180,50,2,27,3,59,54,24,23,21,19,18,16])).
% 2.98/3.08 cnf(194,plain,
% 2.98/3.08 (E(f7(x1941,x1942),f7(f13(x1941,a8),x1942))),
% 2.98/3.08 inference(scs_inference,[],[38,40,154,74,75,78,137,180,50,2,27,3,59,54,24,23,21,19,18,16,15])).
% 2.98/3.08 cnf(195,plain,
% 2.98/3.08 (E(f14(x1951,x1952),f14(x1951,f13(x1952,a8)))),
% 2.98/3.08 inference(scs_inference,[],[38,40,154,74,75,78,137,180,50,2,27,3,59,54,24,23,21,19,18,16,15,12])).
% 2.98/3.08 cnf(196,plain,
% 2.98/3.08 (E(f2(x1961,x1962),f2(f13(x1961,a8),x1962))),
% 2.98/3.08 inference(scs_inference,[],[38,40,154,74,75,78,137,180,50,2,27,3,59,54,24,23,21,19,18,16,15,12,9])).
% 2.98/3.08 cnf(197,plain,
% 2.98/3.08 (E(f6(x1971,x1972),f6(x1971,f13(x1972,a8)))),
% 2.98/3.08 inference(scs_inference,[],[38,40,154,74,75,78,137,180,50,2,27,3,59,54,24,23,21,19,18,16,15,12,9,8])).
% 2.98/3.08 cnf(198,plain,
% 2.98/3.08 (E(f5(x1981),f5(f13(x1981,a8)))),
% 2.98/3.08 inference(scs_inference,[],[38,40,154,74,75,78,137,180,50,2,27,3,59,54,24,23,21,19,18,16,15,12,9,8,6])).
% 2.98/3.08 cnf(200,plain,
% 2.98/3.08 (E(f4(x2001),f14(x2001,f5(x2001)))),
% 2.98/3.08 inference(scs_inference,[],[38,43,40,154,74,75,78,137,180,50,2,27,3,59,54,24,23,21,19,18,16,15,12,9,8,6,5,62])).
% 2.98/3.08 cnf(202,plain,
% 2.98/3.08 (E(f16(x2021,x2022),f13(f3(x2021,x2022),x2021))),
% 2.98/3.08 inference(scs_inference,[],[38,43,48,40,154,74,75,78,137,180,50,2,27,3,59,54,24,23,21,19,18,16,15,12,9,8,6,5,62,61])).
% 2.98/3.08 cnf(208,plain,
% 2.98/3.08 (E(f3(x2081,x2082),f3(x2081,f13(x2082,a8)))),
% 2.98/3.08 inference(scs_inference,[],[38,43,48,40,154,74,75,78,85,137,180,50,2,27,3,59,54,24,23,21,19,18,16,15,12,9,8,6,5,62,61,60,26,25,22])).
% 2.98/3.08 cnf(211,plain,
% 2.98/3.08 (E(f15(x2111,x2112),f15(x2111,f13(x2112,a8)))),
% 2.98/3.08 inference(scs_inference,[],[38,43,48,40,154,74,75,78,85,137,180,50,2,27,3,59,54,24,23,21,19,18,16,15,12,9,8,6,5,62,61,60,26,25,22,20,17,14])).
% 2.98/3.08 cnf(212,plain,
% 2.98/3.08 (E(f15(x2121,x2122),f15(f13(x2121,a8),x2122))),
% 2.98/3.08 inference(scs_inference,[],[38,43,48,40,154,74,75,78,85,137,180,50,2,27,3,59,54,24,23,21,19,18,16,15,12,9,8,6,5,62,61,60,26,25,22,20,17,14,13])).
% 2.98/3.08 cnf(213,plain,
% 2.98/3.08 (E(f14(x2131,x2132),f14(f13(x2131,a8),x2132))),
% 2.98/3.08 inference(scs_inference,[],[38,43,48,40,154,74,75,78,85,137,180,50,2,27,3,59,54,24,23,21,19,18,16,15,12,9,8,6,5,62,61,60,26,25,22,20,17,14,13,11])).
% 2.98/3.08 cnf(214,plain,
% 2.98/3.08 (E(f2(x2141,x2142),f2(x2141,f13(x2142,a8)))),
% 2.98/3.08 inference(scs_inference,[],[38,43,48,40,154,74,75,78,85,137,180,50,2,27,3,59,54,24,23,21,19,18,16,15,12,9,8,6,5,62,61,60,26,25,22,20,17,14,13,11,10])).
% 2.98/3.08 cnf(217,plain,
% 2.98/3.08 (P2(f13(x2171,a8),f12(x2171))),
% 2.98/3.08 inference(scs_inference,[],[189,53])).
% 2.98/3.08 cnf(219,plain,
% 2.98/3.08 (E(f14(x2191,f5(x2191)),f4(x2191))),
% 2.98/3.08 inference(scs_inference,[],[200,189,53,2])).
% 2.98/3.08 cnf(222,plain,
% 2.98/3.08 (~P2(x2221,a8)),
% 2.98/3.08 inference(scs_inference,[],[38,128,200,189,174,176,172,140,53,2,27,3,56])).
% 2.98/3.08 cnf(223,plain,
% 2.98/3.08 (E(f13(x2231,f1(x2231)),x2231)),
% 2.98/3.08 inference(rename_variables,[],[128])).
% 2.98/3.08 cnf(225,plain,
% 2.98/3.08 (P4(f13(x2251,a8),f2(x2251,x2252),f16(x2251,x2252))),
% 2.98/3.08 inference(scs_inference,[],[38,47,128,200,189,174,176,172,140,137,53,2,27,3,56,33])).
% 2.98/3.08 cnf(227,plain,
% 2.98/3.08 (~P2(x2271,f13(a8,f1(a8)))),
% 2.98/3.08 inference(scs_inference,[],[38,47,128,223,200,189,174,176,172,140,137,53,2,27,3,56,33,32])).
% 2.98/3.08 cnf(230,plain,
% 2.98/3.08 (P3(x2301,x2302,f15(x2301,x2302))),
% 2.98/3.08 inference(rename_variables,[],[44])).
% 2.98/3.08 cnf(231,plain,
% 2.98/3.08 (P3(f12(x2311),x2312,f15(f2(x2313,x2311),x2312))),
% 2.98/3.08 inference(scs_inference,[],[38,47,44,230,128,223,200,186,189,174,176,172,140,137,53,2,27,3,56,33,32,29,28])).
% 2.98/3.08 cnf(233,plain,
% 2.98/3.08 (P2(f12(x2331),f2(x2332,f2(x2333,x2331)))),
% 2.98/3.08 inference(scs_inference,[],[38,47,44,230,40,128,223,200,186,189,174,176,172,140,137,53,2,27,3,56,33,32,29,28,31])).
% 2.98/3.08 cnf(235,plain,
% 2.98/3.08 (P3(f3(x2351,x2352),x2351,f13(f3(x2351,x2352),x2351))),
% 2.98/3.08 inference(scs_inference,[],[38,47,44,230,48,40,128,223,200,202,186,189,174,176,172,140,137,53,2,27,3,56,33,32,29,28,31,30])).
% 2.98/3.08 cnf(237,plain,
% 2.98/3.08 (P4(x2371,f12(x2372),f16(x2371,x2372))),
% 2.98/3.08 inference(scs_inference,[],[38,47,44,230,48,40,128,223,200,202,186,189,174,176,172,140,137,53,2,27,3,56,33,32,29,28,31,30,34])).
% 2.98/3.08 cnf(245,plain,
% 2.98/3.08 (~E(f13(a8,f1(a8)),f12(x2451))),
% 2.98/3.08 inference(scs_inference,[],[227,53])).
% 2.98/3.08 cnf(251,plain,
% 2.98/3.08 (P2(x2511,f6(x2512,x2511))),
% 2.98/3.08 inference(rename_variables,[],[39])).
% 2.98/3.08 cnf(252,plain,
% 2.98/3.08 (P3(x2521,f6(x2521,x2522),f7(x2521,x2522))),
% 2.98/3.08 inference(rename_variables,[],[46])).
% 2.98/3.08 cnf(256,plain,
% 2.98/3.08 (~P2(x2561,f1(x2562))),
% 2.98/3.08 inference(scs_inference,[],[39,66,46,227,179,222,97,53,56,63,50,32])).
% 2.98/3.08 cnf(258,plain,
% 2.98/3.08 (P3(x2581,f6(x2581,x2582),f7(x2581,x2582))),
% 2.98/3.08 inference(rename_variables,[],[46])).
% 2.98/3.08 cnf(260,plain,
% 2.98/3.08 (P2(a8,f6(x2601,f1(x2602)))),
% 2.98/3.08 inference(scs_inference,[],[39,251,66,46,252,237,227,197,179,222,97,53,56,63,50,32,29,33,31])).
% 2.98/3.08 cnf(266,plain,
% 2.98/3.08 (P1(f13(f5(x2661),f13(a8,a8)))),
% 2.98/3.08 inference(scs_inference,[],[39,251,66,43,46,252,258,41,237,227,191,193,197,198,147,179,222,97,53,56,63,50,32,29,33,31,28,34,30,2,27])).
% 2.98/3.08 cnf(283,plain,
% 2.98/3.08 (~E(f7(x2831,x2832),f1(x2833))),
% 2.98/3.08 inference(scs_inference,[],[39,42,44,256,266,97,56,63,32])).
% 2.98/3.08 cnf(284,plain,
% 2.98/3.08 (~P2(x2841,f1(x2842))),
% 2.98/3.08 inference(rename_variables,[],[256])).
% 2.98/3.08 cnf(285,plain,
% 2.98/3.08 (P1(f14(x2851,f5(x2851)))),
% 2.98/3.08 inference(scs_inference,[],[39,42,44,256,266,200,97,37,56,63,32,27])).
% 2.98/3.08 cnf(287,plain,
% 2.98/3.08 (E(a8,f1(x2871))),
% 2.98/3.08 inference(scs_inference,[],[39,42,44,66,256,266,200,97,37,56,63,32,27,2])).
% 2.98/3.08 cnf(288,plain,
% 2.98/3.08 (E(f1(x2881),f13(a8,a8))),
% 2.98/3.08 inference(scs_inference,[],[39,42,44,66,256,266,200,97,137,37,56,63,32,27,2,3])).
% 2.98/3.08 cnf(290,plain,
% 2.98/3.08 (~E(f1(x2901),f12(x2902))),
% 2.98/3.08 inference(scs_inference,[],[39,42,44,66,256,284,266,200,97,137,37,56,63,32,27,2,3,53])).
% 2.98/3.08 cnf(292,plain,
% 2.98/3.08 (~P2(x2921,f4(x2922))),
% 2.98/3.08 inference(scs_inference,[],[219,285,56])).
% 2.98/3.08 cnf(293,plain,
% 2.98/3.08 (P1(f14(x2931,f5(x2931)))),
% 2.98/3.08 inference(rename_variables,[],[285])).
% 2.98/3.08 cnf(295,plain,
% 2.98/3.08 (~P2(x2951,f14(x2952,f5(x2952)))),
% 2.98/3.08 inference(scs_inference,[],[219,285,56,32])).
% 2.98/3.08 cnf(297,plain,
% 2.98/3.08 (~E(f1(x2971),f7(x2972,x2973))),
% 2.98/3.08 inference(scs_inference,[],[219,285,293,283,174,56,32,27,2])).
% 2.98/3.08 cnf(298,plain,
% 2.98/3.08 (E(f3(x2981,x2982),f3(f13(x2981,a8),f13(x2982,a8)))),
% 2.98/3.08 inference(scs_inference,[],[219,285,293,283,190,208,174,56,32,27,2,3])).
% 2.98/3.08 cnf(300,plain,
% 2.98/3.08 (E(f16(x3001,x3002),f14(x3001,f2(x3001,x3002)))),
% 2.98/3.08 inference(scs_inference,[],[47,219,285,293,283,190,208,174,56,32,27,2,3,62])).
% 2.98/3.08 cnf(304,plain,
% 2.98/3.08 (E(f7(x3041,x3042),f12(f15(x3041,x3042)))),
% 2.98/3.08 inference(scs_inference,[],[47,42,219,285,293,283,288,190,208,174,56,32,27,2,3,62,59,54])).
% 2.98/3.08 cnf(306,plain,
% 2.98/3.08 (E(f7(x3061,x3062),f13(x3061,f6(x3061,x3062)))),
% 2.98/3.08 inference(scs_inference,[],[46,47,42,219,285,293,283,288,190,208,174,56,32,27,2,3,62,59,54,61])).
% 2.98/3.08 cnf(309,plain,
% 2.98/3.08 (E(f12(a8),f12(f1(x3091)))),
% 2.98/3.08 inference(scs_inference,[],[46,47,42,219,285,293,283,288,190,208,287,174,56,32,27,2,3,62,59,54,61,24,23])).
% 2.98/3.08 cnf(310,plain,
% 2.98/3.08 (E(f13(x3101,a8),f13(x3101,f1(x3102)))),
% 2.98/3.08 inference(scs_inference,[],[46,47,42,219,285,293,283,288,190,208,287,174,56,32,27,2,3,62,59,54,61,24,23,19])).
% 2.98/3.08 cnf(311,plain,
% 2.98/3.08 (E(f7(x3111,a8),f7(x3111,f1(x3112)))),
% 2.98/3.08 inference(scs_inference,[],[46,47,42,219,285,293,283,288,190,208,287,174,56,32,27,2,3,62,59,54,61,24,23,19,16])).
% 2.98/3.08 cnf(313,plain,
% 2.98/3.08 (E(f2(a8,x3131),f2(f1(x3132),x3131))),
% 2.98/3.08 inference(scs_inference,[],[46,47,42,219,285,293,283,288,190,208,287,174,56,32,27,2,3,62,59,54,61,24,23,19,16,15,9])).
% 2.98/3.08 cnf(314,plain,
% 2.98/3.08 (P4(x3141,f13(x3142,a8),f14(x3141,x3142))),
% 2.98/3.08 inference(scs_inference,[],[46,47,42,219,285,293,283,288,190,195,208,287,174,56,32,27,2,3,62,59,54,61,24,23,19,16,15,9,60])).
% 2.98/3.08 cnf(316,plain,
% 2.98/3.08 (E(f6(x3161,a8),f6(x3161,f1(x3162)))),
% 2.98/3.08 inference(scs_inference,[],[46,47,42,219,285,293,283,288,190,195,208,287,174,56,32,27,2,3,62,59,54,61,24,23,19,16,15,9,60,8])).
% 2.98/3.08 cnf(317,plain,
% 2.98/3.08 (P2(f1(x3171),f12(a8))),
% 2.98/3.08 inference(scs_inference,[],[46,47,42,219,285,293,283,288,190,195,208,287,174,56,32,27,2,3,62,59,54,61,24,23,19,16,15,9,60,8,53])).
% 2.98/3.08 cnf(321,plain,
% 2.98/3.08 (E(f3(a8,x3211),f3(f1(x3212),x3211))),
% 2.98/3.08 inference(scs_inference,[],[46,47,42,219,285,293,283,288,190,195,208,287,174,176,56,32,27,2,3,62,59,54,61,24,23,19,16,15,9,60,8,53,26,25,21])).
% 2.98/3.08 cnf(323,plain,
% 2.98/3.08 (E(f13(a8,x3231),f13(f1(x3232),x3231))),
% 2.98/3.08 inference(scs_inference,[],[46,47,42,219,285,293,283,288,190,195,208,287,174,176,56,32,27,2,3,62,59,54,61,24,23,19,16,15,9,60,8,53,26,25,21,20,18])).
% 2.98/3.08 cnf(325,plain,
% 2.98/3.08 (E(f14(x3251,a8),f14(x3251,f1(x3252)))),
% 2.98/3.08 inference(scs_inference,[],[46,47,42,219,285,293,283,288,190,195,208,287,174,176,56,32,27,2,3,62,59,54,61,24,23,19,16,15,9,60,8,53,26,25,21,20,18,17,12])).
% 2.98/3.08 cnf(326,plain,
% 2.98/3.08 (E(f2(x3261,a8),f2(x3261,f1(x3262)))),
% 2.98/3.08 inference(scs_inference,[],[46,47,42,219,285,293,283,288,190,195,208,287,174,176,56,32,27,2,3,62,59,54,61,24,23,19,16,15,9,60,8,53,26,25,21,20,18,17,12,10])).
% 2.98/3.08 cnf(327,plain,
% 2.98/3.08 (E(f5(a8),f5(f1(x3271)))),
% 2.98/3.08 inference(scs_inference,[],[46,47,42,219,285,293,283,288,190,195,208,287,174,176,56,32,27,2,3,62,59,54,61,24,23,19,16,15,9,60,8,53,26,25,21,20,18,17,12,10,6])).
% 2.98/3.08 cnf(330,plain,
% 2.98/3.08 (E(f15(x3301,a8),f15(x3301,f1(x3302)))),
% 2.98/3.08 inference(scs_inference,[],[46,47,42,219,285,293,283,288,190,195,208,287,174,176,56,32,27,2,3,62,59,54,61,24,23,19,16,15,9,60,8,53,26,25,21,20,18,17,12,10,6,5,22,14])).
% 2.98/3.08 cnf(331,plain,
% 2.98/3.08 (E(f15(a8,x3311),f15(f1(x3312),x3311))),
% 2.98/3.08 inference(scs_inference,[],[46,47,42,219,285,293,283,288,190,195,208,287,174,176,56,32,27,2,3,62,59,54,61,24,23,19,16,15,9,60,8,53,26,25,21,20,18,17,12,10,6,5,22,14,13])).
% 2.98/3.08 cnf(332,plain,
% 2.98/3.08 (E(f14(a8,x3321),f14(f1(x3322),x3321))),
% 2.98/3.08 inference(scs_inference,[],[46,47,42,219,285,293,283,288,190,195,208,287,174,176,56,32,27,2,3,62,59,54,61,24,23,19,16,15,9,60,8,53,26,25,21,20,18,17,12,10,6,5,22,14,13,11])).
% 2.98/3.08 cnf(336,plain,
% 2.98/3.08 (P2(f13(x3361,a8),f12(x3361))),
% 2.98/3.08 inference(rename_variables,[],[217])).
% 2.98/3.08 cnf(339,plain,
% 2.98/3.08 (~E(f14(x3391,f5(x3391)),f12(x3392))),
% 2.98/3.08 inference(scs_inference,[],[44,295,217,170,63,53])).
% 2.98/3.08 cnf(341,plain,
% 2.98/3.08 (~P1(f6(x3411,x3412))),
% 2.98/3.08 inference(scs_inference,[],[68,44,295,217,336,170,63,53,56])).
% 2.98/3.08 cnf(342,plain,
% 2.98/3.08 (E(f6(x3421,x3422),f12(x3422))),
% 2.98/3.08 inference(rename_variables,[],[68])).
% 2.98/3.08 cnf(344,plain,
% 2.98/3.08 (P2(f15(x3441,x3442),f13(x3441,f6(x3441,x3442)))),
% 2.98/3.08 inference(scs_inference,[],[68,44,42,306,295,217,336,170,63,53,56,32])).
% 2.98/3.08 cnf(346,plain,
% 2.98/3.08 (P1(f13(f13(a8,a8),a8))),
% 2.98/3.08 inference(scs_inference,[],[68,44,42,306,295,192,217,336,170,63,53,56,32,27])).
% 2.98/3.08 cnf(348,plain,
% 2.98/3.08 (E(f12(x3481),f6(x3482,x3481))),
% 2.98/3.08 inference(scs_inference,[],[68,342,44,42,306,295,192,217,336,170,63,53,56,32,27,2])).
% 2.98/3.08 cnf(351,plain,
% 2.98/3.08 (~E(f6(x3511,x3512),a8)),
% 2.98/3.08 inference(scs_inference,[],[65,68,342,44,42,306,295,192,217,336,170,63,53,56,32,27,2,3,49])).
% 2.98/3.08 cnf(355,plain,
% 2.98/3.08 (~P2(f1(x3551),f15(f13(a8,a8),f12(a8)))),
% 2.98/3.08 inference(scs_inference,[],[65,68,342,44,42,66,306,295,192,217,336,170,63,53,56,32,27,2,3,49,54,31])).
% 2.98/3.08 cnf(356,plain,
% 2.98/3.08 (~P4(x3561,x3562,f6(x3563,x3564))+P4(x3561,x3562,f12(x3564))),
% 2.98/3.08 inference(scs_inference,[],[65,68,342,44,42,66,306,295,192,217,336,170,63,53,56,32,27,2,3,49,54,31,35])).
% 2.98/3.08 cnf(359,plain,
% 2.98/3.08 (~P1(f7(x3591,x3592))),
% 2.98/3.08 inference(scs_inference,[],[42,194,260,54,56])).
% 2.98/3.08 cnf(360,plain,
% 2.98/3.08 (P2(f15(x3601,x3602),f7(x3601,x3602))),
% 2.98/3.08 inference(rename_variables,[],[42])).
% 2.98/3.08 cnf(362,plain,
% 2.98/3.08 (P2(f12(x3621),f2(x3622,f6(x3623,x3621)))),
% 2.98/3.08 inference(scs_inference,[],[68,42,194,260,40,54,56,31])).
% 2.98/3.08 cnf(364,plain,
% 2.98/3.08 (~E(f7(x3641,x3642),f4(x3643))),
% 2.98/3.08 inference(scs_inference,[],[68,42,360,292,194,260,40,54,56,31,32])).
% 2.98/3.08 cnf(366,plain,
% 2.98/3.08 (~P1(f12(x3661))),
% 2.98/3.08 inference(scs_inference,[],[68,42,360,348,292,341,194,260,40,54,56,31,32,27])).
% 2.98/3.08 cnf(367,plain,
% 2.98/3.08 (E(f12(x3671),f6(x3672,x3671))),
% 2.98/3.08 inference(rename_variables,[],[348])).
% 2.98/3.08 cnf(369,plain,
% 2.98/3.08 (E(f6(x3691,x3692),f6(x3693,x3692))),
% 2.98/3.08 inference(scs_inference,[],[68,42,360,339,348,367,292,341,194,260,40,54,56,31,32,27,2,3])).
% 2.98/3.08 cnf(370,plain,
% 2.98/3.08 (E(f6(x3701,x3702),f12(x3702))),
% 2.98/3.08 inference(rename_variables,[],[68])).
% 2.98/3.08 cnf(371,plain,
% 2.98/3.08 (~P4(x3711,f5(x3711),f12(x3712))),
% 2.98/3.08 inference(scs_inference,[],[68,42,360,339,348,367,292,341,194,260,40,54,56,31,32,27,2,3,62])).
% 2.98/3.08 cnf(373,plain,
% 2.98/3.08 (E(f13(f13(a8,a8),a8),a8)),
% 2.98/3.08 inference(scs_inference,[],[68,42,360,339,348,367,292,341,194,346,260,40,54,56,31,32,27,2,3,62,50])).
% 2.98/3.08 cnf(375,plain,
% 2.98/3.08 (P3(x3751,a8,x3751)),
% 2.98/3.08 inference(scs_inference,[],[41,68,42,360,66,339,348,367,292,341,194,346,260,40,54,56,31,32,27,2,3,62,50,29])).
% 2.98/3.08 cnf(378,plain,
% 2.98/3.08 (P4(x3781,x3782,f3(x3781,x3782))),
% 2.98/3.08 inference(rename_variables,[],[45])).
% 2.98/3.08 cnf(380,plain,
% 2.98/3.08 (P4(x3801,x3802,f3(x3801,x3802))),
% 2.98/3.08 inference(rename_variables,[],[45])).
% 2.98/3.08 cnf(381,plain,
% 2.98/3.08 (P3(f12(x3811),f1(f6(x3812,x3811)),f6(x3812,x3811))),
% 2.98/3.08 inference(scs_inference,[],[41,68,370,45,378,42,360,66,339,348,367,292,341,194,346,260,40,54,56,31,32,27,2,3,62,50,29,33,34,28])).
% 2.98/3.08 cnf(382,plain,
% 2.98/3.08 (P3(x3821,f1(x3821),x3821)),
% 2.98/3.08 inference(rename_variables,[],[41])).
% 2.98/3.08 cnf(383,plain,
% 2.98/3.08 (P3(f6(x3831,x3832),f1(f6(x3831,x3832)),f12(x3832))),
% 2.98/3.08 inference(scs_inference,[],[41,382,68,370,45,378,42,360,66,339,348,367,292,341,194,346,260,40,54,56,31,32,27,2,3,62,50,29,33,34,28,30])).
% 2.98/3.08 cnf(385,plain,
% 2.98/3.08 (~E(f3(x3851,f5(x3851)),f12(x3852))),
% 2.98/3.08 inference(scs_inference,[],[41,382,68,370,45,378,380,42,360,66,339,348,367,292,341,194,346,260,40,54,56,31,32,27,2,3,62,50,29,33,34,28,30,35])).
% 2.98/3.08 cnf(387,plain,
% 2.98/3.08 (~P4(x3871,f5(x3871),f6(x3872,x3873))),
% 2.98/3.08 inference(scs_inference,[],[41,382,68,370,45,378,380,42,360,66,339,348,367,292,341,194,346,260,40,54,56,31,32,27,2,3,62,50,29,33,34,28,30,35,356])).
% 2.98/3.08 cnf(388,plain,
% 2.98/3.08 (~E(f6(x3881,x3882),f14(x3883,f5(x3883)))),
% 2.98/3.08 inference(scs_inference,[],[41,382,68,370,45,378,380,42,360,66,339,348,367,292,341,194,346,260,40,54,56,31,32,27,2,3,62,50,29,33,34,28,30,35,356,60])).
% 2.98/3.08 cnf(390,plain,
% 2.98/3.08 (E(f16(x3901,x3902),f14(f13(x3901,a8),f2(x3901,x3902)))),
% 2.98/3.08 inference(scs_inference,[],[225,62])).
% 2.98/3.08 cnf(392,plain,
% 2.98/3.08 (P4(f13(x3921,a8),x3922,f14(x3921,x3922))),
% 2.98/3.08 inference(scs_inference,[],[213,225,62,60])).
% 2.98/3.08 cnf(394,plain,
% 2.98/3.08 (~P2(x3941,f3(x3942,f5(x3942)))),
% 2.98/3.08 inference(scs_inference,[],[385,213,225,62,60,54])).
% 2.98/3.08 cnf(400,plain,
% 2.98/3.08 (P3(x4001,f12(x4002),f7(x4001,x4002))),
% 2.98/3.08 inference(scs_inference,[],[68,46,385,233,196,213,225,62,60,54,56,29])).
% 2.98/3.08 cnf(403,plain,
% 2.98/3.08 (P3(f3(f13(x4031,a8),f13(x4032,a8)),x4031,f16(x4031,x4032))),
% 2.98/3.08 inference(scs_inference,[],[48,68,43,46,385,233,196,213,298,225,90,62,60,54,56,29,34,28])).
% 2.98/3.08 cnf(409,plain,
% 2.98/3.08 (P4(x4091,x4092,f3(f13(x4091,a8),f13(x4092,a8)))),
% 2.98/3.08 inference(scs_inference,[],[48,68,45,43,46,42,129,385,233,196,213,298,225,164,323,90,62,60,54,56,29,34,28,33,31,35])).
% 2.98/3.08 cnf(411,plain,
% 2.98/3.08 (~P2(f1(x4111),f15(a8,f12(a8)))),
% 2.98/3.08 inference(scs_inference,[],[70,48,68,45,43,46,42,129,385,233,355,196,212,213,298,225,164,323,90,62,60,54,56,29,34,28,33,31,35,30,32])).
% 2.98/3.08 cnf(413,plain,
% 2.98/3.08 (~E(f14(x4131,f5(x4131)),f7(x4132,x4133))),
% 2.98/3.08 inference(scs_inference,[],[70,48,68,45,43,46,42,129,385,233,359,355,196,212,213,298,225,164,323,90,285,62,60,54,56,29,34,28,33,31,35,30,32,27])).
% 2.98/3.08 cnf(414,plain,
% 2.98/3.08 (E(f14(x4141,f2(x4141,x4142)),f16(x4141,x4142))),
% 2.98/3.08 inference(scs_inference,[],[70,48,68,45,43,46,42,129,300,385,233,359,355,196,212,213,298,225,164,323,90,285,62,60,54,56,29,34,28,33,31,35,30,32,27,2])).
% 2.98/3.08 cnf(415,plain,
% 2.98/3.08 (~E(f3(x4151,f5(x4151)),f6(x4152,x4153))),
% 2.98/3.08 inference(scs_inference,[],[70,48,68,45,43,46,42,129,300,385,233,359,355,196,212,213,298,225,164,323,90,285,62,60,54,56,29,34,28,33,31,35,30,32,27,2,3])).
% 2.98/3.08 cnf(419,plain,
% 2.98/3.08 (~P4(f1(x4191),f5(a8),f12(x4192))),
% 2.98/3.08 inference(scs_inference,[],[42,371,327,266,56,34])).
% 2.98/3.08 cnf(421,plain,
% 2.98/3.08 (P4(f1(x4211),f2(f1(x4211),x4212),f16(a8,x4212))),
% 2.98/3.08 inference(scs_inference,[],[42,71,47,371,327,266,56,34,35])).
% 2.98/3.08 cnf(424,plain,
% 2.98/3.08 (P2(f15(x4241,x4242),f12(f15(x4241,x4242)))),
% 2.98/3.08 inference(scs_inference,[],[42,71,47,304,371,327,266,56,34,35,32])).
% 2.98/3.08 cnf(426,plain,
% 2.98/3.08 (P1(f13(f13(a8,a8),f1(x4261)))),
% 2.98/3.08 inference(scs_inference,[],[42,71,47,304,371,310,327,266,346,56,34,35,32,27])).
% 2.98/3.08 cnf(427,plain,
% 2.98/3.08 (E(f13(x4271,a8),f13(x4271,f1(x4272)))),
% 2.98/3.09 inference(rename_variables,[],[310])).
% 2.98/3.09 cnf(428,plain,
% 2.98/3.09 (~E(f14(x4281,f5(x4281)),f6(x4282,x4283))),
% 2.98/3.09 inference(scs_inference,[],[42,71,47,304,371,388,310,327,266,346,56,34,35,32,27,2])).
% 2.98/3.09 cnf(434,plain,
% 2.98/3.09 (E(f15(x4341,x4342),f13(x4341,x4342))),
% 2.98/3.09 inference(scs_inference,[],[42,71,47,44,304,371,388,413,310,427,332,327,266,346,56,34,35,32,27,2,3,59,61])).
% 2.98/3.09 cnf(437,plain,
% 2.98/3.09 (E(f13(x4371,f5(x4372)),f13(x4371,a8))),
% 2.98/3.09 inference(scs_inference,[],[42,71,47,44,304,371,388,413,310,427,332,327,266,346,176,56,34,35,32,27,2,3,59,61,24,19])).
% 2.98/3.09 cnf(440,plain,
% 2.98/3.09 (E(f12(f5(x4401)),f12(a8))),
% 2.98/3.09 inference(scs_inference,[],[42,71,47,44,304,371,388,413,310,427,332,327,266,346,176,56,34,35,32,27,2,3,59,61,24,19,16,9,23])).
% 2.98/3.09 cnf(442,plain,
% 2.98/3.09 (E(f13(f5(x4421),x4422),f13(a8,x4422))),
% 2.98/3.09 inference(scs_inference,[],[42,71,47,44,304,371,388,413,310,427,332,327,266,346,176,56,34,35,32,27,2,3,59,61,24,19,16,9,23,20,18])).
% 2.98/3.09 cnf(443,plain,
% 2.98/3.09 (E(f7(f5(x4431),x4432),f7(a8,x4432))),
% 2.98/3.09 inference(scs_inference,[],[42,71,47,44,304,371,388,413,310,427,332,327,266,346,176,56,34,35,32,27,2,3,59,61,24,19,16,9,23,20,18,15])).
% 2.98/3.09 cnf(444,plain,
% 2.98/3.09 (E(f14(x4441,f5(x4442)),f14(x4441,a8))),
% 2.98/3.09 inference(scs_inference,[],[42,71,47,44,304,371,388,413,310,427,332,327,266,346,176,56,34,35,32,27,2,3,59,61,24,19,16,9,23,20,18,15,12])).
% 2.98/3.09 cnf(446,plain,
% 2.98/3.09 (E(f6(x4461,f5(x4462)),f6(x4461,a8))),
% 2.98/3.09 inference(scs_inference,[],[42,71,47,44,304,371,388,413,310,427,332,327,266,346,176,56,34,35,32,27,2,3,59,61,24,19,16,9,23,20,18,15,12,10,8])).
% 2.98/3.09 cnf(447,plain,
% 2.98/3.09 (P2(a8,f12(f5(x4471)))),
% 2.98/3.09 inference(scs_inference,[],[42,71,47,44,304,371,388,413,310,427,332,327,266,346,176,56,34,35,32,27,2,3,59,61,24,19,16,9,23,20,18,15,12,10,8,53])).
% 2.98/3.09 cnf(452,plain,
% 2.98/3.09 (E(f15(x4521,f5(x4522)),f15(x4521,a8))),
% 2.98/3.09 inference(scs_inference,[],[42,71,47,44,304,371,388,413,310,427,332,327,266,346,176,56,34,35,32,27,2,3,59,61,24,19,16,9,23,20,18,15,12,10,8,53,25,21,17,14])).
% 2.98/3.09 cnf(453,plain,
% 2.98/3.09 (E(f5(f5(x4531)),f5(a8))),
% 2.98/3.09 inference(scs_inference,[],[42,71,47,44,304,371,388,413,310,427,332,327,266,346,176,56,34,35,32,27,2,3,59,61,24,19,16,9,23,20,18,15,12,10,8,53,25,21,17,14,6])).
% 2.98/3.09 cnf(458,plain,
% 2.98/3.09 (E(f15(f5(x4581),x4582),f15(a8,x4582))),
% 2.98/3.09 inference(scs_inference,[],[42,71,47,44,304,371,388,413,310,427,332,327,266,346,176,56,34,35,32,27,2,3,59,61,24,19,16,9,23,20,18,15,12,10,8,53,25,21,17,14,6,5,60,22,13])).
% 2.98/3.09 cnf(459,plain,
% 2.98/3.09 (E(f14(f5(x4591),x4592),f14(a8,x4592))),
% 2.98/3.09 inference(scs_inference,[],[42,71,47,44,304,371,388,413,310,427,332,327,266,346,176,56,34,35,32,27,2,3,59,61,24,19,16,9,23,20,18,15,12,10,8,53,25,21,17,14,6,5,60,22,13,11])).
% 2.98/3.09 cnf(461,plain,
% 2.98/3.09 (E(f1(x4611),f13(f1(x4612),a8))),
% 2.98/3.09 inference(scs_inference,[],[42,71,47,44,304,371,388,413,310,427,332,309,317,327,266,217,346,176,56,34,35,32,27,2,3,59,61,24,19,16,9,23,20,18,15,12,10,8,53,25,21,17,14,6,5,60,22,13,11,4,58])).
% 2.98/3.09 cnf(464,plain,
% 2.98/3.09 (~P2(f6(x4641,x4642),f6(x4643,f1(x4644)))),
% 2.98/3.09 inference(scs_inference,[],[369,351,260,58])).
% 2.98/3.09 cnf(467,plain,
% 2.98/3.09 (~E(f4(x4671),f12(x4672))),
% 2.98/3.09 inference(scs_inference,[],[369,351,292,260,58,53])).
% 2.98/3.09 cnf(469,plain,
% 2.98/3.09 (P4(x4691,f1(x4692),f14(x4691,a8))),
% 2.98/3.09 inference(scs_inference,[],[369,325,351,292,260,58,53,60])).
% 2.98/3.09 cnf(471,plain,
% 2.98/3.09 (~E(f13(f13(a8,a8),f1(x4711)),f7(x4712,x4713))),
% 2.98/3.09 inference(scs_inference,[],[42,369,426,325,351,292,260,58,53,60,56])).
% 2.98/3.09 cnf(473,plain,
% 2.98/3.09 (P2(a8,f12(a8))),
% 2.98/3.09 inference(scs_inference,[],[42,66,369,426,325,351,292,317,260,58,53,60,56,31])).
% 2.98/3.09 cnf(475,plain,
% 2.98/3.09 (P4(x4751,f13(x4752,x4753),f3(x4751,f15(x4752,x4753)))),
% 2.98/3.09 inference(scs_inference,[],[42,45,66,434,369,426,325,351,292,317,260,58,53,60,56,31,34])).
% 2.98/3.09 cnf(476,plain,
% 2.98/3.09 (P4(x4761,x4762,f3(x4761,x4762))),
% 2.98/3.09 inference(rename_variables,[],[45])).
% 2.98/3.09 cnf(479,plain,
% 2.98/3.09 (~E(f7(x4791,x4792),f3(x4793,f5(x4793)))),
% 2.98/3.09 inference(scs_inference,[],[42,45,476,66,434,394,369,426,325,419,351,292,317,260,58,53,60,56,31,34,35,32])).
% 2.98/3.09 cnf(481,plain,
% 2.98/3.09 (P1(f13(a8,f13(a8,a8)))),
% 2.98/3.09 inference(scs_inference,[],[42,45,476,66,434,394,369,426,325,442,419,351,292,317,260,266,58,53,60,56,31,34,35,32,27])).
% 2.98/3.09 cnf(483,plain,
% 2.98/3.09 (E(f13(x4831,x4832),f15(x4831,x4832))),
% 2.98/3.09 inference(scs_inference,[],[42,45,476,66,434,394,369,426,325,442,419,351,292,317,260,266,58,53,60,56,31,34,35,32,27,2])).
% 2.98/3.09 cnf(487,plain,
% 2.98/3.09 (~E(f12(x4871),a8)),
% 2.98/3.09 inference(scs_inference,[],[42,71,70,45,476,66,434,394,369,366,426,325,442,419,351,292,317,260,266,58,53,60,56,31,34,35,32,27,2,3,49])).
% 2.98/3.09 cnf(489,plain,
% 2.98/3.09 (~P2(x4891,f3(f1(x4892),f5(a8)))),
% 2.98/3.09 inference(scs_inference,[],[42,71,70,45,476,66,434,394,369,366,426,325,442,419,351,292,317,260,266,58,53,60,56,31,34,35,32,27,2,3,49,54])).
% 2.98/3.09 cnf(491,plain,
% 2.98/3.09 (E(f3(f13(x4911,a8),f13(x4912,a8)),f14(x4911,x4912))),
% 2.98/3.09 inference(scs_inference,[],[409,62])).
% 2.98/3.09 cnf(497,plain,
% 2.98/3.09 (~P2(x4971,f15(a8,f13(a8,a8)))),
% 2.98/3.09 inference(scs_inference,[],[483,362,290,409,481,317,62,58,56])).
% 2.98/3.09 cnf(500,plain,
% 2.98/3.09 (P2(f13(a8,a8),f12(f5(x5001)))),
% 2.98/3.09 inference(scs_inference,[],[483,362,290,409,481,447,317,137,62,58,56,31])).
% 2.98/3.09 cnf(503,plain,
% 2.98/3.09 (P4(x5031,f5(x5031),f4(x5031))),
% 2.98/3.09 inference(rename_variables,[],[43])).
% 2.98/3.09 cnf(506,plain,
% 2.98/3.09 (~P2(f6(x5061,x5062),f6(x5063,a8))),
% 2.98/3.09 inference(scs_inference,[],[43,503,483,362,290,464,409,316,91,453,481,447,317,137,62,58,56,31,35,34,32])).
% 2.98/3.09 cnf(509,plain,
% 2.98/3.09 (~E(f6(x5091,x5092),f3(x5093,f5(x5093)))),
% 2.98/3.09 inference(scs_inference,[],[43,503,483,362,415,290,464,409,316,91,453,481,447,341,317,137,62,58,56,31,35,34,32,27,2])).
% 2.98/3.09 cnf(513,plain,
% 2.98/3.09 (~P4(f1(x5131),f5(a8),f6(x5132,x5133))),
% 2.98/3.09 inference(scs_inference,[],[43,503,414,483,362,415,290,464,409,316,459,91,453,481,447,341,419,317,137,62,58,56,31,35,34,32,27,2,3,356])).
% 2.98/3.09 cnf(527,plain,
% 2.98/3.09 (P3(x5271,x5272,f15(x5271,x5272))),
% 2.98/3.09 inference(rename_variables,[],[44])).
% 2.98/3.09 cnf(531,plain,
% 2.98/3.09 (~P2(f7(x5311,x5312),f6(x5313,a8))),
% 2.98/3.09 inference(scs_inference,[],[44,344,297,348,434,317,170,39,63,58])).
% 2.98/3.09 cnf(535,plain,
% 2.98/3.09 (~P1(f2(x5351,x5352))),
% 2.98/3.09 inference(scs_inference,[],[44,344,297,214,131,348,434,317,170,39,63,58,56])).
% 2.98/3.09 cnf(539,plain,
% 2.98/3.09 (P4(x5391,a8,f14(x5391,f5(x5392)))),
% 2.98/3.09 inference(scs_inference,[],[44,344,297,214,444,131,348,434,317,170,39,63,58,56,60])).
% 2.98/3.09 cnf(541,plain,
% 2.98/3.09 (P4(x5411,f2(x5411,f1(x5412)),f16(x5411,a8))),
% 2.98/3.09 inference(scs_inference,[],[70,47,44,344,297,214,444,131,348,434,317,170,39,63,58,56,60,35])).
% 2.98/3.09 cnf(544,plain,
% 2.98/3.09 (~P2(x5441,f15(a8,a8))),
% 2.98/3.09 inference(scs_inference,[],[70,47,44,344,297,211,214,444,497,131,348,434,317,170,39,63,58,56,60,35,32])).
% 2.98/3.09 cnf(546,plain,
% 2.98/3.09 (P1(f14(x5461,a8))),
% 2.98/3.09 inference(scs_inference,[],[70,47,44,344,297,211,214,444,497,131,348,434,285,317,170,39,63,58,56,60,35,32,27])).
% 2.98/3.09 cnf(548,plain,
% 2.98/3.09 (E(f14(x5481,f5(x5482)),f14(x5481,a8))),
% 2.98/3.09 inference(rename_variables,[],[444])).
% 2.98/3.09 cnf(553,plain,
% 2.98/3.09 (P3(f12(x5531),x5532,f15(f6(x5533,x5531),x5532))),
% 2.98/3.09 inference(scs_inference,[],[70,47,68,44,527,344,428,297,390,211,214,444,548,497,131,348,434,285,317,170,39,63,58,56,60,35,32,27,3,2,28])).
% 2.98/3.09 cnf(555,plain,
% 2.98/3.09 (P3(f3(x5551,x5552),f13(x5551,a8),f16(x5551,x5552))),
% 2.98/3.09 inference(scs_inference,[],[70,47,48,68,44,527,344,428,297,390,211,214,444,548,497,131,348,434,285,317,170,137,39,63,58,56,60,35,32,27,3,2,28,29])).
% 2.98/3.09 cnf(556,plain,
% 2.98/3.09 (E(x5561,f13(x5561,a8))),
% 2.98/3.09 inference(rename_variables,[],[137])).
% 2.98/3.09 cnf(557,plain,
% 2.98/3.09 (P4(f13(x5571,a8),f5(x5571),f4(x5571))),
% 2.98/3.09 inference(scs_inference,[],[43,70,47,48,68,44,527,344,428,297,390,211,214,444,548,497,131,348,434,285,317,170,137,556,39,63,58,56,60,35,32,27,3,2,28,29,33])).
% 2.98/3.09 cnf(562,plain,
% 2.98/3.09 (E(f13(a8,a8),a8)),
% 2.98/3.09 inference(scs_inference,[],[500,440,473,58])).
% 2.98/3.09 cnf(565,plain,
% 2.98/3.09 (~P1(f13(f7(x5651,x5652),f5(x5653)))),
% 2.98/3.09 inference(scs_inference,[],[500,159,437,440,473,58,56])).
% 2.98/3.09 cnf(566,plain,
% 2.98/3.09 (E(f13(x5661,f5(x5662)),f13(x5661,a8))),
% 2.98/3.09 inference(rename_variables,[],[437])).
% 2.98/3.09 cnf(573,plain,
% 2.98/3.09 (P3(x5731,f1(x5732),f15(x5731,a8))),
% 2.98/3.09 inference(scs_inference,[],[44,48,68,135,500,491,392,159,82,437,440,373,473,58,56,28,33,29,30])).
% 2.98/3.09 cnf(578,plain,
% 2.98/3.09 (P1(f13(f1(x5781),a8))),
% 2.98/3.09 inference(scs_inference,[],[44,45,48,68,135,500,491,489,392,159,82,437,461,513,440,373,473,36,58,56,28,33,29,30,35,32,27])).
% 2.98/3.09 cnf(580,plain,
% 2.98/3.09 (E(f15(f1(x5801),f1(x5802)),f15(a8,a8))),
% 2.98/3.09 inference(scs_inference,[],[44,45,48,68,135,500,491,489,392,159,82,83,437,461,513,440,373,473,36,58,56,28,33,29,30,35,32,27,3])).
% 2.98/3.09 cnf(587,plain,
% 2.98/3.09 (E(f7(x5871,x5872),f13(x5871,f12(x5872)))),
% 2.98/3.09 inference(scs_inference,[],[44,45,48,68,135,400,479,500,491,489,392,159,82,83,437,566,461,513,440,373,473,36,58,56,28,33,29,30,35,32,27,3,2,59,26,61])).
% 2.98/3.09 cnf(593,plain,
% 2.98/3.09 (E(f13(x5931,f13(a8,a8)),f13(x5931,a8))),
% 2.98/3.09 inference(scs_inference,[],[44,45,48,68,135,400,479,500,491,489,392,159,82,83,437,566,461,513,440,373,473,36,58,56,28,33,29,30,35,32,27,3,2,59,26,61,24,16,9,20,19])).
% 2.98/3.09 cnf(594,plain,
% 2.98/3.09 (E(f13(f13(a8,a8),x5941),f13(a8,x5941))),
% 2.98/3.09 inference(scs_inference,[],[44,45,48,68,135,400,479,500,491,489,392,159,82,83,437,566,461,513,440,373,473,36,58,56,28,33,29,30,35,32,27,3,2,59,26,61,24,16,9,20,19,18])).
% 2.98/3.09 cnf(598,plain,
% 2.98/3.09 (E(f3(f13(a8,a8),x5981),f3(a8,x5981))),
% 2.98/3.09 inference(scs_inference,[],[44,45,48,68,135,400,479,500,491,489,392,159,82,83,437,566,461,513,440,373,473,36,58,56,28,33,29,30,35,32,27,3,2,59,26,61,24,16,9,20,19,18,10,25,23,21])).
% 2.98/3.09 cnf(600,plain,
% 2.98/3.09 (E(f15(x6001,f13(a8,a8)),f15(x6001,a8))),
% 2.98/3.09 inference(scs_inference,[],[44,45,48,68,135,400,479,500,491,489,392,159,82,83,437,566,461,513,440,373,473,36,58,56,28,33,29,30,35,32,27,3,2,59,26,61,24,16,9,20,19,18,10,25,23,21,15,14])).
% 2.98/3.09 cnf(601,plain,
% 2.98/3.09 (E(f14(x6011,f13(a8,a8)),f14(x6011,a8))),
% 2.98/3.09 inference(scs_inference,[],[44,45,48,68,135,400,479,500,491,489,392,159,82,83,437,566,461,513,440,373,473,36,58,56,28,33,29,30,35,32,27,3,2,59,26,61,24,16,9,20,19,18,10,25,23,21,15,14,12])).
% 2.98/3.09 cnf(602,plain,
% 2.98/3.09 (E(f5(f13(a8,a8)),f5(a8))),
% 2.98/3.09 inference(scs_inference,[],[44,45,48,68,135,400,479,500,491,489,392,159,82,83,437,566,461,513,440,373,473,36,58,56,28,33,29,30,35,32,27,3,2,59,26,61,24,16,9,20,19,18,10,25,23,21,15,14,12,6])).
% 2.98/3.09 cnf(603,plain,
% 2.98/3.09 (E(f6(x6031,f13(a8,a8)),f6(x6031,a8))),
% 2.98/3.09 inference(scs_inference,[],[44,45,48,68,135,400,479,500,491,489,392,159,82,83,437,566,461,513,440,373,473,36,58,56,28,33,29,30,35,32,27,3,2,59,26,61,24,16,9,20,19,18,10,25,23,21,15,14,12,6,8])).
% 2.98/3.09 cnf(607,plain,
% 2.98/3.09 (P2(a8,f12(f13(a8,a8)))),
% 2.98/3.09 inference(scs_inference,[],[44,45,48,68,135,400,479,500,491,489,392,159,82,83,437,566,461,513,440,373,473,36,58,56,28,33,29,30,35,32,27,3,2,59,26,61,24,16,9,20,19,18,10,25,23,21,15,14,12,6,8,17,13,5,53])).
% 2.98/3.09 cnf(610,plain,
% 2.98/3.09 (E(f14(f13(a8,a8),x6101),f14(a8,x6101))),
% 2.98/3.09 inference(scs_inference,[],[44,45,48,68,135,400,479,500,491,489,392,159,82,83,437,566,461,513,440,373,473,36,58,56,28,33,29,30,35,32,27,3,2,59,26,61,24,16,9,20,19,18,10,25,23,21,15,14,12,6,8,17,13,5,53,22,11])).
% 2.98/3.09 cnf(612,plain,
% 2.98/3.09 (~P1(f15(f14(x6121,a8),a8))),
% 2.98/3.09 inference(scs_inference,[],[44,45,46,48,68,135,400,479,500,491,489,392,159,80,82,83,437,566,461,513,440,546,373,473,260,97,36,42,58,56,28,33,29,30,35,32,27,3,2,59,26,61,24,16,9,20,19,18,10,25,23,21,15,14,12,6,8,17,13,5,53,22,11,4,63])).
% 2.98/3.09 cnf(614,plain,
% 2.98/3.09 (~P2(f12(x6141),f12(f1(x6142)))),
% 2.98/3.09 inference(scs_inference,[],[73,487,473,58])).
% 2.98/3.09 cnf(620,plain,
% 2.98/3.09 (~P2(x6201,f13(a8,a8))),
% 2.98/3.09 inference(scs_inference,[],[73,506,593,601,487,473,481,58,53,60,56])).
% 2.98/3.09 cnf(631,plain,
% 2.98/3.09 (~E(f4(x6311),f6(x6312,x6313))),
% 2.98/3.09 inference(scs_inference,[],[73,68,475,387,467,535,321,446,506,593,601,578,602,487,473,481,58,53,60,56,34,35,32,27,3])).
% 2.98/3.09 cnf(633,plain,
% 2.98/3.09 (E(f13(x6331,f12(x6332)),f7(x6331,x6332))),
% 2.98/3.09 inference(scs_inference,[],[73,68,475,587,387,467,535,321,446,506,593,601,578,602,487,473,481,58,53,60,56,34,35,32,27,3,2])).
% 2.98/3.09 cnf(634,plain,
% 2.98/3.09 (~E(f2(x6341,x6342),a8)),
% 2.98/3.09 inference(scs_inference,[],[73,68,475,587,387,467,535,321,446,506,593,601,578,602,487,473,481,58,53,60,56,34,35,32,27,3,2,49])).
% 2.98/3.09 cnf(644,plain,
% 2.98/3.09 (~E(f14(x6441,a8),f12(f15(x6442,x6443)))),
% 2.98/3.09 inference(scs_inference,[],[424,245,233,546,131,58,56])).
% 2.98/3.09 cnf(647,plain,
% 2.98/3.09 (P4(x6471,x6472,f3(x6471,x6472))),
% 2.98/3.09 inference(rename_variables,[],[45])).
% 2.98/3.09 cnf(648,plain,
% 2.98/3.09 (P2(f14(x6481,x6482),f2(x6483,f3(x6481,x6482)))),
% 2.98/3.09 inference(scs_inference,[],[45,424,245,562,93,233,546,131,40,58,56,33,31])).
% 2.98/3.09 cnf(651,plain,
% 2.98/3.09 (P4(x6511,x6512,f3(x6511,x6512))),
% 2.98/3.09 inference(rename_variables,[],[45])).
% 2.98/3.09 cnf(652,plain,
% 2.98/3.09 (P4(x6521,f1(x6522),f3(x6521,a8))),
% 2.98/3.09 inference(scs_inference,[],[45,647,651,74,424,245,562,93,233,546,131,40,58,56,33,31,34,35])).
% 2.98/3.09 cnf(655,plain,
% 2.98/3.09 (~P2(x6551,f15(f1(x6552),f1(x6553)))),
% 2.98/3.09 inference(scs_inference,[],[45,647,651,74,424,245,580,544,562,93,233,546,131,40,58,56,33,31,34,35,32])).
% 2.98/3.09 cnf(656,plain,
% 2.98/3.09 (P1(f13(a8,f1(x6561)))),
% 2.98/3.09 inference(scs_inference,[],[45,647,651,74,424,245,580,594,544,562,93,233,426,546,131,40,58,56,33,31,34,35,32,27])).
% 2.98/3.09 cnf(658,plain,
% 2.98/3.09 (~E(f12(x6581),f3(x6582,f5(x6582)))),
% 2.98/3.09 inference(scs_inference,[],[45,647,651,74,68,424,509,245,580,594,544,562,93,233,426,546,131,40,58,56,33,31,34,35,32,27,3])).
% 2.98/3.09 cnf(661,plain,
% 2.98/3.09 (E(f4(x6611),f14(f13(x6611,a8),f5(x6611)))),
% 2.98/3.09 inference(scs_inference,[],[45,647,651,74,68,424,509,364,245,580,557,594,544,562,93,233,426,546,131,40,58,56,33,31,34,35,32,27,3,2,62])).
% 2.98/3.09 cnf(663,plain,
% 2.98/3.09 (E(f13(f13(a8,a8),f1(x6631)),a8)),
% 2.98/3.09 inference(scs_inference,[],[45,647,651,74,68,424,509,364,245,580,557,594,544,562,93,233,426,546,131,40,58,56,33,31,34,35,32,27,3,2,62,50])).
% 2.98/3.09 cnf(666,plain,
% 2.98/3.09 (~P2(f6(x6661,x6662),f12(f13(a8,a8)))),
% 2.98/3.09 inference(scs_inference,[],[64,189,317,58])).
% 2.98/3.09 cnf(674,plain,
% 2.98/3.09 (P2(f15(a8,a8),f12(f5(x6741)))),
% 2.98/3.09 inference(scs_inference,[],[64,66,421,656,483,500,189,131,317,58,56,33,31])).
% 2.98/3.09 cnf(676,plain,
% 2.98/3.09 (P4(f1(x6761),f2(a8,x6762),f16(f1(x6761),x6762))),
% 2.98/3.09 inference(scs_inference,[],[64,47,66,421,87,656,483,500,189,131,317,58,56,33,31,34])).
% 2.98/3.09 cnf(678,plain,
% 2.98/3.09 (~E(f2(x6781,x6782),f15(f1(x6783),f1(x6784)))),
% 2.98/3.09 inference(scs_inference,[],[64,47,66,655,421,87,656,483,500,189,131,317,58,56,33,31,34,32])).
% 2.98/3.09 cnf(680,plain,
% 2.98/3.09 (~P1(f13(x6801,f12(x6802)))),
% 2.98/3.09 inference(scs_inference,[],[64,47,66,633,655,421,87,656,483,359,500,189,131,317,58,56,33,31,34,32,27])).
% 2.98/3.09 cnf(685,plain,
% 2.98/3.09 (E(f14(f13(x6851,a8),f5(x6851)),f4(x6851))),
% 2.98/3.09 inference(scs_inference,[],[64,47,66,633,655,661,421,84,87,610,656,483,359,500,189,131,317,58,56,33,31,34,32,27,3,2])).
% 2.98/3.09 cnf(689,plain,
% 2.98/3.09 (~E(f13(a8,a8),f12(x6891))),
% 2.98/3.09 inference(scs_inference,[],[620,53])).
% 2.98/3.09 cnf(694,plain,
% 2.98/3.09 (~P2(x6941,f13(f1(x6942),f13(a8,a8)))),
% 2.98/3.09 inference(scs_inference,[],[73,620,191,578,217,473,53,58,56])).
% 2.98/3.09 cnf(695,plain,
% 2.98/3.09 (E(f13(x6951,x6952),f13(x6951,f13(x6952,a8)))),
% 2.98/3.09 inference(rename_variables,[],[191])).
% 2.98/3.09 cnf(699,plain,
% 2.98/3.09 (~E(f13(f1(x6991),a8),f12(x6992))),
% 2.98/3.09 inference(scs_inference,[],[73,68,614,620,366,191,578,217,473,53,58,56,32,27])).
% 2.98/3.09 cnf(703,plain,
% 2.98/3.09 (~E(f6(x7031,x7032),f4(x7033))),
% 2.98/3.09 inference(scs_inference,[],[75,73,68,658,614,631,620,366,191,578,217,473,53,58,56,32,27,3,2])).
% 2.98/3.09 cnf(706,plain,
% 2.98/3.09 (E(f16(x7061,x7062),f13(f3(x7061,x7062),f13(x7061,a8)))),
% 2.98/3.09 inference(scs_inference,[],[75,73,68,658,614,631,620,555,366,191,695,578,217,473,53,58,56,32,27,3,2,59,61])).
% 2.98/3.09 cnf(708,plain,
% 2.98/3.09 (P3(f13(x7081,a8),f6(x7081,x7082),f7(x7081,x7082))),
% 2.98/3.09 inference(scs_inference,[],[46,75,73,68,658,614,631,620,555,366,191,695,578,217,473,137,53,58,56,32,27,3,2,59,61,28])).
% 2.98/3.09 cnf(716,plain,
% 2.98/3.09 (E(f6(x7161,x7162),f12(x7162))),
% 2.98/3.09 inference(rename_variables,[],[68])).
% 2.98/3.09 cnf(721,plain,
% 2.98/3.09 (P3(f3(x7211,a8),x7211,f16(x7211,f1(x7212)))),
% 2.98/3.09 inference(scs_inference,[],[74,48,68,607,634,661,37,58,56,28])).
% 2.98/3.09 cnf(724,plain,
% 2.98/3.09 (P2(a8,f2(x7241,f13(a8,a8)))),
% 2.98/3.09 inference(scs_inference,[],[46,74,48,68,66,381,607,311,634,663,661,131,37,58,56,28,29,30,31])).
% 2.98/3.09 cnf(727,plain,
% 2.98/3.09 (P2(f15(x7271,a8),f7(x7271,f1(x7272)))),
% 2.98/3.09 inference(scs_inference,[],[46,74,48,68,66,381,607,311,634,663,661,131,37,42,58,56,28,29,30,31,32])).
% 2.98/3.09 cnf(730,plain,
% 2.98/3.09 (P1(f14(x7301,f13(a8,a8)))),
% 2.98/3.09 inference(scs_inference,[],[46,74,48,68,66,381,607,311,634,663,661,195,546,131,37,42,58,56,28,29,30,31,32,27])).
% 2.98/3.09 cnf(738,plain,
% 2.98/3.09 (~P2(f15(x7381,x7382),f14(x7383,a8))),
% 2.98/3.09 inference(scs_inference,[],[46,74,48,68,716,66,381,565,703,607,706,311,644,634,663,661,195,546,131,37,42,58,56,28,29,30,31,32,27,3,2,49,54])).
% 2.98/3.09 cnf(744,plain,
% 2.98/3.09 (E(f2(x7441,f13(a8,a8)),f12(a8))),
% 2.98/3.09 inference(scs_inference,[],[724,54])).
% 2.98/3.09 cnf(746,plain,
% 2.98/3.09 (~E(f2(x7461,f6(x7462,x7463)),f12(a8))),
% 2.98/3.09 inference(scs_inference,[],[65,724,317,40,54,58])).
% 2.98/3.09 cnf(751,plain,
% 2.98/3.09 (P2(f13(x7511,a8),f12(x7511))),
% 2.98/3.09 inference(rename_variables,[],[217])).
% 2.98/3.09 cnf(759,plain,
% 2.98/3.09 (E(f1(x7591),f13(a8,f1(a8)))),
% 2.98/3.09 inference(scs_inference,[],[65,66,694,666,541,313,452,612,724,217,751,317,40,95,54,58,31,34,32,27,3])).
% 2.98/3.09 cnf(766,plain,
% 2.98/3.09 (~P3(f1(x7661),f13(a8,a8),f12(x7662))),
% 2.98/3.09 inference(scs_inference,[],[65,66,678,730,694,666,541,652,313,452,612,724,217,751,317,40,95,54,58,31,34,32,27,3,2,50,62,61])).
% 2.98/3.09 cnf(769,plain,
% 2.98/3.09 (E(f7(x7691,x7692),f13(f13(x7691,a8),f6(x7691,x7692)))),
% 2.98/3.09 inference(scs_inference,[],[708,61])).
% 2.98/3.09 cnf(771,plain,
% 2.98/3.09 (~P2(x7711,f13(f1(x7712),a8))),
% 2.98/3.09 inference(scs_inference,[],[708,699,61,54])).
% 2.98/3.09 cnf(780,plain,
% 2.98/3.09 (~E(f14(x7801,f13(a8,a8)),f6(x7802,x7803))),
% 2.98/3.09 inference(scs_inference,[],[47,64,708,531,699,603,730,309,341,317,95,61,54,58,33,32,27])).
% 2.98/3.09 cnf(781,plain,
% 2.98/3.09 (E(f13(a8,f1(a8)),f1(x7811))),
% 2.98/3.09 inference(scs_inference,[],[47,64,759,708,531,699,603,730,309,341,317,95,61,54,58,33,32,27,2])).
% 2.98/3.09 cnf(782,plain,
% 2.98/3.09 (~E(f13(a8,a8),f6(x7821,x7822))),
% 2.98/3.09 inference(scs_inference,[],[47,64,68,759,689,708,531,699,603,730,309,341,317,95,61,54,58,33,32,27,2,3])).
% 2.98/3.09 cnf(784,plain,
% 2.98/3.09 (P4(f1(x7841),f13(x7842,f1(x7842)),f3(a8,x7842))),
% 2.98/3.09 inference(scs_inference,[],[47,64,75,68,136,759,689,708,531,699,603,730,309,341,317,95,61,54,58,33,32,27,2,3,35])).
% 2.98/3.09 cnf(789,plain,
% 2.98/3.09 (~P1(f13(f7(x7891,x7892),f1(x7893)))),
% 2.98/3.09 inference(scs_inference,[],[77,674,159,440,473,58,56])).
% 2.98/3.09 cnf(790,plain,
% 2.98/3.09 (E(f13(x7901,f1(x7902)),f13(x7901,a8))),
% 2.98/3.09 inference(rename_variables,[],[77])).
% 2.98/3.09 cnf(792,plain,
% 2.98/3.09 (~P3(f13(a8,f1(a8)),f13(a8,a8),f12(x7921))),
% 2.98/3.09 inference(scs_inference,[],[77,781,766,674,159,440,473,58,56,28])).
% 2.98/3.09 cnf(793,plain,
% 2.98/3.09 (~P3(f1(x7931),f13(a8,a8),f12(x7932))),
% 2.98/3.09 inference(rename_variables,[],[766])).
% 2.98/3.09 cnf(794,plain,
% 2.98/3.09 (~P3(f1(x7941),f13(a8,f1(x7942)),f12(x7943))),
% 2.98/3.09 inference(scs_inference,[],[77,790,781,766,793,674,159,440,473,58,56,28,29])).
% 2.98/3.09 cnf(795,plain,
% 2.98/3.09 (E(f13(x7951,f1(x7952)),f13(x7951,a8))),
% 2.98/3.09 inference(rename_variables,[],[77])).
% 2.98/3.09 cnf(798,plain,
% 2.98/3.09 (~P2(x7981,f13(f1(x7982),f1(x7983)))),
% 2.98/3.09 inference(scs_inference,[],[77,790,795,66,781,766,793,674,676,771,159,440,473,58,56,28,29,33,32])).
% 2.98/3.09 cnf(799,plain,
% 2.98/3.09 (E(f13(x7991,f1(x7992)),f13(x7991,a8))),
% 2.98/3.09 inference(rename_variables,[],[77])).
% 2.98/3.09 cnf(800,plain,
% 2.98/3.09 (P1(f14(f13(x8001,a8),f5(x8001)))),
% 2.98/3.09 inference(scs_inference,[],[77,790,795,66,781,766,793,674,676,771,213,159,440,285,473,58,56,28,29,33,32,27])).
% 2.98/3.09 cnf(809,plain,
% 2.98/3.09 (P1(f15(a8,a8))),
% 2.98/3.09 inference(scs_inference,[],[77,790,795,799,66,781,780,766,793,471,674,676,771,759,213,159,440,285,473,58,56,28,29,33,32,27,3,2,59,49])).
% 2.98/3.09 cnf(817,plain,
% 2.98/3.09 (E(f12(f15(a8,a8)),f12(a8))),
% 2.98/3.09 inference(scs_inference,[],[77,790,795,799,66,781,780,766,793,471,674,676,771,759,213,159,440,285,473,58,56,28,29,33,32,27,3,2,59,49,26,24,16,19,9,25,23])).
% 2.98/3.09 cnf(819,plain,
% 2.98/3.09 (E(f13(f15(a8,a8),x8191),f13(a8,x8191))),
% 2.98/3.09 inference(scs_inference,[],[77,790,795,799,66,781,780,766,793,471,674,676,771,759,213,159,440,285,473,58,56,28,29,33,32,27,3,2,59,49,26,24,16,19,9,25,23,20,18])).
% 2.98/3.09 cnf(822,plain,
% 2.98/3.09 (~P4(x8221,f13(a8,a8),f6(x8222,x8223))),
% 2.98/3.09 inference(scs_inference,[],[77,790,795,799,66,781,780,766,793,471,674,676,771,759,213,159,440,285,473,58,56,28,29,33,32,27,3,2,59,49,26,24,16,19,9,25,23,20,18,15,14,62])).
% 2.98/3.09 cnf(830,plain,
% 2.98/3.09 (E(f14(f15(a8,a8),x8301),f14(a8,x8301))),
% 2.98/3.09 inference(scs_inference,[],[77,790,795,799,66,781,780,766,793,471,674,676,771,759,213,159,440,285,473,58,56,28,29,33,32,27,3,2,59,49,26,24,16,19,9,25,23,20,18,15,14,62,21,17,12,6,8,13,11])).
% 2.98/3.09 cnf(841,plain,
% 2.98/3.09 (E(f3(x8411,f1(x8412)),f14(x8411,a8))),
% 2.98/3.09 inference(scs_inference,[],[680,108,49,62])).
% 2.98/3.09 cnf(843,plain,
% 2.98/3.09 (P2(a8,f12(f15(a8,a8)))),
% 2.98/3.09 inference(scs_inference,[],[680,817,108,49,62,53])).
% 2.98/3.09 cnf(850,plain,
% 2.98/3.09 (~P2(x8501,f15(a8,f1(x8502)))),
% 2.98/3.09 inference(scs_inference,[],[680,809,330,443,727,817,108,42,49,62,53,58,56])).
% 2.98/3.09 cnf(851,plain,
% 2.98/3.09 (E(f15(x8511,a8),f15(x8511,f1(x8512)))),
% 2.98/3.09 inference(rename_variables,[],[330])).
% 2.98/3.09 cnf(855,plain,
% 2.98/3.09 (P3(f3(x8551,x8552),x8551,f16(x8551,x8552))),
% 2.98/3.09 inference(rename_variables,[],[48])).
% 2.98/3.09 cnf(856,plain,
% 2.98/3.09 (P3(f3(a8,x8561),f1(x8562),f16(a8,x8561))),
% 2.98/3.09 inference(scs_inference,[],[48,855,75,680,809,330,443,727,817,108,42,287,49,62,53,58,56,28,29])).
% 2.98/3.09 cnf(858,plain,
% 2.98/3.09 (P4(f1(x8581),f13(x8582,a8),f3(a8,x8582))),
% 2.98/3.09 inference(scs_inference,[],[48,855,77,75,680,809,784,330,443,727,817,108,42,287,49,62,53,58,56,28,29,34])).
% 2.98/3.09 cnf(859,plain,
% 2.98/3.09 (E(f13(x8591,f1(x8592)),f13(x8591,a8))),
% 2.98/3.09 inference(rename_variables,[],[77])).
% 2.98/3.09 cnf(860,plain,
% 2.98/3.09 (~E(f12(x8601),f13(f1(x8602),f1(x8603)))),
% 2.98/3.09 inference(scs_inference,[],[48,855,77,75,680,798,809,784,330,443,727,817,108,217,42,287,49,62,53,58,56,28,29,34,32])).
% 2.98/3.09 cnf(862,plain,
% 2.98/3.09 (P1(f15(a8,f1(x8621)))),
% 2.98/3.09 inference(scs_inference,[],[48,855,77,75,680,798,809,784,330,851,443,727,817,108,217,42,287,49,62,53,58,56,28,29,34,32,27])).
% 2.98/3.09 cnf(867,plain,
% 2.98/3.09 (E(f13(f13(x8671,a8),f6(x8671,x8672)),f7(x8671,x8672))),
% 2.98/3.09 inference(scs_inference,[],[48,855,77,859,75,680,798,809,769,784,330,851,443,727,819,817,108,217,42,287,49,62,53,58,56,28,29,34,32,27,3,2])).
% 2.98/3.09 cnf(868,plain,
% 2.98/3.09 (~P3(f15(a8,a8),f12(a8),f12(f1(x8681)))),
% 2.98/3.09 inference(scs_inference,[],[48,855,77,859,73,75,680,798,809,769,784,330,851,443,727,819,817,108,217,170,42,287,49,62,53,58,56,28,29,34,32,27,3,2,63])).
% 2.98/3.09 cnf(877,plain,
% 2.98/3.09 (E(f15(x8771,a8),f13(x8771,f1(x8772)))),
% 2.98/3.09 inference(scs_inference,[],[573,61])).
% 2.98/3.09 cnf(893,plain,
% 2.98/3.09 (P4(x8931,f13(a8,a8),f14(x8931,f1(x8932)))),
% 2.98/3.09 inference(scs_inference,[],[78,66,383,231,648,867,403,314,573,850,598,600,531,809,61,53,56,28,30,29,31,34])).
% 2.98/3.09 cnf(895,plain,
% 2.98/3.09 (E(f13(f1(x8951),x8952),f13(a8,x8952))),
% 2.98/3.09 inference(rename_variables,[],[78])).
% 2.98/3.09 cnf(896,plain,
% 2.98/3.09 (~P2(f15(x8961,x8962),f3(x8963,f1(x8964)))),
% 2.98/3.09 inference(scs_inference,[],[78,66,383,231,648,867,403,314,573,841,738,850,598,600,531,809,61,53,56,28,30,29,31,34,32])).
% 2.98/3.09 cnf(899,plain,
% 2.98/3.09 (E(f13(f1(x8991),f1(x8992)),f13(a8,a8))),
% 2.98/3.09 inference(scs_inference,[],[78,895,77,66,383,231,648,867,403,800,314,573,841,738,850,598,600,531,359,809,61,53,56,28,30,29,31,34,32,27,3])).
% 2.98/3.09 cnf(902,plain,
% 2.98/3.09 (~E(f13(f1(x9021),f1(x9022)),f12(x9023))),
% 2.98/3.09 inference(scs_inference,[],[78,895,77,66,383,231,648,860,867,403,800,314,573,841,738,850,598,600,531,359,809,61,53,56,28,30,29,31,34,32,27,3,2])).
% 2.98/3.09 cnf(914,plain,
% 2.98/3.09 (E(a8,f15(a8,a8))),
% 2.98/3.09 inference(scs_inference,[],[789,843,860,348,39,49,61,58])).
% 2.98/3.09 cnf(921,plain,
% 2.98/3.09 (E(f13(f1(x9211),x9212),f13(a8,x9212))),
% 2.98/3.09 inference(rename_variables,[],[78])).
% 2.98/3.09 cnf(925,plain,
% 2.98/3.09 (E(f13(f1(x9251),x9252),f13(a8,x9252))),
% 2.98/3.09 inference(rename_variables,[],[78])).
% 2.98/3.09 cnf(926,plain,
% 2.98/3.09 (P2(f13(x9261,a8),f2(x9262,x9261))),
% 2.98/3.09 inference(scs_inference,[],[78,921,77,68,789,792,794,868,862,843,860,348,131,39,49,61,58,56,28,30,29,31])).
% 2.98/3.09 cnf(927,plain,
% 2.98/3.09 (E(f13(x9271,f1(x9272)),f13(x9271,a8))),
% 2.98/3.09 inference(rename_variables,[],[77])).
% 2.98/3.09 cnf(929,plain,
% 2.98/3.09 (E(f13(f1(x9291),x9292),f13(a8,x9292))),
% 2.98/3.09 inference(rename_variables,[],[78])).
% 2.98/3.09 cnf(930,plain,
% 2.98/3.09 (~E(f14(x9301,f1(x9302)),f6(x9303,x9304))),
% 2.98/3.09 inference(scs_inference,[],[78,921,925,77,68,789,893,822,792,794,868,862,843,860,348,131,39,49,61,58,56,28,30,29,31,34,35])).
% 2.98/3.09 cnf(932,plain,
% 2.98/3.09 (~P2(x9321,f13(a8,f1(x9322)))),
% 2.98/3.09 inference(scs_inference,[],[78,921,925,77,927,68,789,893,822,792,794,868,862,843,860,620,348,131,39,49,61,58,56,28,30,29,31,34,35,32])).
% 2.98/3.09 cnf(934,plain,
% 2.98/3.09 (P1(f15(f1(x9341),f1(x9342)))),
% 2.98/3.09 inference(scs_inference,[],[78,921,925,77,927,68,789,893,822,792,794,331,868,862,843,860,620,348,131,39,49,61,58,56,28,30,29,31,34,35,32,27])).
% 2.98/3.09 cnf(939,plain,
% 2.98/3.09 (E(f13(a8,a8),f13(f1(x9391),f1(x9392)))),
% 2.98/3.09 inference(scs_inference,[],[78,921,925,929,77,927,68,789,902,899,893,822,792,794,331,868,862,843,860,620,348,131,39,49,61,58,56,28,30,29,31,34,35,32,27,3,2])).
% 2.98/3.09 cnf(940,plain,
% 2.98/3.09 (~P2(a8,f2(x9401,f6(x9402,x9403)))),
% 2.98/3.09 inference(scs_inference,[],[78,921,925,929,77,927,68,789,902,899,893,822,792,794,331,868,746,862,843,860,620,348,131,39,49,61,58,56,28,30,29,31,34,35,32,27,3,2,54])).
% 2.98/3.09 cnf(949,plain,
% 2.98/3.09 (P2(f13(x9491,a8),f2(x9492,x9491))),
% 2.98/3.09 inference(rename_variables,[],[926])).
% 2.98/3.09 cnf(951,plain,
% 2.98/3.09 (~P2(x9511,f14(a8,f13(a8,a8)))),
% 2.98/3.09 inference(scs_inference,[],[782,326,926,830,856,858,730,54,62,61,58,56])).
% 2.98/3.09 cnf(953,plain,
% 2.98/3.09 (E(f14(f15(a8,a8),x9531),f14(a8,x9531))),
% 2.98/3.09 inference(rename_variables,[],[830])).
% 2.98/3.09 cnf(962,plain,
% 2.98/3.09 (P2(f13(x9621,a8),f2(x9622,x9621))),
% 2.98/3.09 inference(rename_variables,[],[926])).
% 2.98/3.09 cnf(966,plain,
% 2.98/3.09 (P4(f15(a8,a8),f1(x9661),f14(a8,a8))),
% 2.98/3.09 inference(scs_inference,[],[79,78,133,235,782,469,326,926,949,830,953,856,858,940,914,730,375,54,62,61,58,56,28,30,29,31,34,35])).
% 2.98/3.09 cnf(969,plain,
% 2.98/3.09 (~E(f2(x9691,x9692),f13(a8,f1(x9693)))),
% 2.98/3.09 inference(scs_inference,[],[79,78,133,235,782,469,326,926,949,962,932,830,953,856,858,940,914,730,375,54,62,61,58,56,28,30,29,31,34,35,32])).
% 2.98/3.09 cnf(971,plain,
% 2.98/3.09 (P1(f13(f1(x9711),f1(x9712)))),
% 2.98/3.09 inference(scs_inference,[],[79,78,133,235,939,782,469,326,926,949,962,932,830,953,856,858,940,914,730,375,170,54,62,61,58,56,28,30,29,31,34,35,32,27])).
% 2.98/3.09 cnf(972,plain,
% 2.98/3.09 (E(f1(x9721),f15(a8,a8))),
% 2.98/3.09 inference(scs_inference,[],[79,78,66,133,235,939,782,469,326,926,949,962,932,830,953,856,858,940,914,730,375,170,54,62,61,58,56,28,30,29,31,34,35,32,27,3])).
% 2.98/3.09 cnf(973,plain,
% 2.98/3.09 (~E(f6(x9731,x9732),f14(x9733,f1(x9734)))),
% 2.98/3.09 inference(scs_inference,[],[79,78,66,133,235,930,939,782,469,326,926,949,962,932,830,953,856,858,940,914,730,375,170,54,62,61,58,56,28,30,29,31,34,35,32,27,3,2])).
% 2.98/3.09 cnf(974,plain,
% 2.98/3.09 (P3(f1(x9741),f1(x9742),f13(a8,a8))),
% 2.98/3.09 inference(scs_inference,[],[79,78,66,133,235,930,939,782,469,326,926,949,962,932,830,953,856,858,940,914,730,375,170,54,62,61,58,56,28,30,29,31,34,35,32,27,3,2,59])).
% 2.98/3.09 cnf(992,plain,
% 2.98/3.09 (E(f14(x9921,a8),f14(x9921,f15(a8,a8)))),
% 2.98/3.09 inference(scs_inference,[],[79,78,66,133,235,930,939,782,469,326,926,949,962,932,830,953,856,858,940,914,730,375,170,54,62,61,58,56,28,30,29,31,34,35,32,27,3,2,59,24,16,26,19,9,50,25,23,14,21,20,18,15,8,17,12])).
% 2.98/3.09 cnf(1016,plain,
% 2.98/3.09 (E(f13(f1(x10161),x10162),f13(a8,x10162))),
% 2.98/3.09 inference(rename_variables,[],[78])).
% 2.98/3.09 cnf(1017,plain,
% 2.98/3.09 (P2(f15(x10171,x10172),f13(x10171,f6(x10171,x10172)))),
% 2.98/3.09 inference(rename_variables,[],[344])).
% 2.98/3.09 cnf(1020,plain,
% 2.98/3.09 (E(f15(x10201,a8),f13(x10201,f1(x10202)))),
% 2.98/3.09 inference(rename_variables,[],[877])).
% 2.98/3.09 cnf(1044,plain,
% 2.98/3.09 ($false),
% 2.98/3.09 inference(scs_inference,[],[65,75,78,1016,66,553,896,934,971,973,974,972,966,685,721,458,877,1020,951,969,992,411,744,539,135,306,344,1017,366,260,97,317,50,62,61,53,58,56,33,28,30,29,31,34,35,32,27,3,2,60,63]),
% 2.98/3.09 ['proof']).
% 2.98/3.09 % SZS output end Proof
% 2.98/3.09 % Total time :2.440000s
%------------------------------------------------------------------------------