TSTP Solution File: BOO009-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : BOO009-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 18:05:21 EDT 2023

% Result   : Unsatisfiable 111.63s 111.77s
% Output   : CNFRefutation 112.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : BOO009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34  % Computer : n027.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 08:49:50 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.19/0.57  start to proof:theBenchmark
% 111.63/111.77  %-------------------------------------------
% 111.63/111.77  % File        :CSE---1.6
% 111.63/111.77  % Problem     :theBenchmark
% 111.63/111.77  % Transform   :cnf
% 111.63/111.77  % Format      :tptp:raw
% 111.63/111.77  % Command     :java -jar mcs_scs.jar %d %s
% 111.63/111.77  
% 111.63/111.77  % Result      :Theorem 111.130000s
% 111.63/111.77  % Output      :CNFRefutation 111.130000s
% 111.63/111.77  %-------------------------------------------
% 111.63/111.77  %--------------------------------------------------------------------------
% 111.63/111.77  % File     : BOO009-1 : TPTP v8.1.2. Released v1.0.0.
% 111.63/111.77  % Domain   : Boolean Algebra
% 111.63/111.77  % Problem  : Multiplication absorption (X * (X + Y) = X)
% 111.63/111.77  % Version  : [MOW76] axioms.
% 111.63/111.77  % English  :
% 111.63/111.77  
% 111.63/111.77  % Refs     : [Whi61] Whitesitt (1961), Boolean Algebra and Its Applications
% 111.63/111.77  %          : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 111.63/111.77  %          : [OMW76] Overbeek et al. (1976), Complexity and Related Enhance
% 111.63/111.77  % Source   : [MOW76]
% 111.63/111.77  % Names    : B4 part 1 [MOW76]
% 111.63/111.77  %          : Lemma proved [OMW76]
% 111.63/111.77  %          : prob4_part1.ver1 [ANL]
% 111.63/111.77  
% 111.63/111.77  % Status   : Unsatisfiable
% 111.63/111.77  % Rating   : 0.00 v6.4.0, 0.14 v6.3.0, 0.00 v6.0.0, 0.22 v5.5.0, 0.38 v5.4.0, 0.33 v5.3.0, 0.50 v5.2.0, 0.25 v5.1.0, 0.14 v4.1.0, 0.00 v3.1.0, 0.11 v2.7.0, 0.00 v2.6.0, 0.29 v2.5.0, 0.00 v2.2.1, 0.22 v2.2.0, 0.14 v2.1.0, 0.20 v2.0.0
% 111.63/111.77  % Syntax   : Number of clauses     :   23 (  11 unt;   0 nHn;  13 RR)
% 111.63/111.77  %            Number of literals    :   61 (   2 equ;  39 neg)
% 111.63/111.77  %            Maximal clause size   :    5 (   2 avg)
% 111.63/111.77  %            Maximal term depth    :    2 (   1 avg)
% 111.63/111.77  %            Number of predicates  :    3 (   2 usr;   0 prp; 2-3 aty)
% 111.63/111.77  %            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
% 111.63/111.77  %            Number of variables   :   82 (   0 sgn)
% 111.63/111.77  % SPC      : CNF_UNS_RFO_SEQ_HRN
% 111.63/111.77  
% 111.63/111.77  % Comments :
% 111.63/111.77  %--------------------------------------------------------------------------
% 111.63/111.77  %----Include boolean algebra axioms
% 111.63/111.77  include('Axioms/BOO002-0.ax').
% 111.63/111.77  %--------------------------------------------------------------------------
% 111.63/111.77  cnf(prove_equations,negated_conjecture,
% 111.63/111.77      ~ product(x,add(x,y),x) ).
% 111.63/111.77  
% 111.63/111.77  %--------------------------------------------------------------------------
% 111.63/111.77  %-------------------------------------------
% 111.63/111.77  % Proof found
% 111.63/111.77  % SZS status Theorem for theBenchmark
% 111.63/111.77  % SZS output start Proof
% 111.63/111.78  %ClaNum:37(EqnAxiom:14)
% 111.63/111.78  %VarNum:172(SingletonVarNum:82)
% 111.63/111.78  %MaxLitNum:5
% 111.63/111.78  %MaxfuncDepth:1
% 111.63/111.78  %SharedTerms:6
% 111.63/111.78  %goalClause: 25
% 111.63/111.78  %singleGoalClaCount:1
% 111.63/111.78  [25]~P2(a6,f2(a6,a7),a6)
% 111.63/111.78  [15]P1(x151,a1,x151)
% 111.63/111.78  [16]P2(x161,a3,x161)
% 111.63/111.78  [17]P1(a1,x171,x171)
% 111.63/111.78  [18]P2(a3,x181,x181)
% 111.63/111.78  [19]P1(x191,f4(x191),a3)
% 111.63/111.78  [20]P2(x201,f4(x201),a1)
% 111.63/111.78  [21]P1(f4(x211),x211,a3)
% 111.63/111.78  [22]P2(f4(x221),x221,a1)
% 111.63/111.78  [23]P1(x231,x232,f2(x231,x232))
% 111.63/111.78  [24]P2(x241,x242,f5(x241,x242))
% 111.63/111.78  [26]~P1(x262,x261,x263)+P1(x261,x262,x263)
% 111.63/111.78  [27]~P2(x272,x271,x273)+P2(x271,x272,x273)
% 111.63/111.78  [28]~P1(x283,x284,x281)+E(x281,x282)+~P1(x283,x284,x282)
% 111.63/111.78  [29]~P2(x293,x294,x291)+E(x291,x292)+~P2(x293,x294,x292)
% 111.63/111.78  [30]~P2(x307,x305,x303)+~P2(x306,x304,x301)+P1(x301,x302,x303)+~P1(x304,x302,x305)+~P1(x306,x302,x307)
% 111.63/111.78  [31]~P2(x317,x315,x312)+~P2(x317,x314,x311)+P1(x311,x312,x313)+~P1(x314,x315,x316)+~P2(x317,x316,x313)
% 111.63/111.78  [32]~P2(x325,x327,x322)+~P2(x324,x327,x321)+P1(x321,x322,x323)+~P1(x324,x325,x326)+~P2(x326,x327,x323)
% 111.63/111.78  [33]~P2(x337,x335,x333)+~P2(x336,x334,x332)+P1(x331,x332,x333)+~P1(x331,x334,x335)+~P1(x331,x336,x337)
% 111.63/111.78  [34]~P2(x347,x342,x345)+~P2(x346,x342,x344)+P2(x341,x342,x343)+~P1(x344,x345,x343)+~P1(x346,x347,x341)
% 111.63/111.78  [35]~P2(x357,x356,x354)+P2(x351,x352,x353)+~P1(x354,x355,x353)+~P1(x356,x355,x352)+~P1(x357,x355,x351)
% 111.63/111.78  [36]~P2(x367,x366,x365)+P2(x361,x362,x363)+~P1(x364,x365,x363)+~P1(x364,x366,x362)+~P1(x364,x367,x361)
% 111.63/111.78  [37]~P2(x371,x377,x375)+~P2(x371,x376,x374)+P2(x371,x372,x373)+~P1(x374,x375,x373)+~P1(x376,x377,x372)
% 111.63/111.78  %EqnAxiom
% 111.63/111.78  [1]E(x11,x11)
% 111.63/111.78  [2]E(x22,x21)+~E(x21,x22)
% 111.63/111.78  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 111.63/111.78  [4]~E(x41,x42)+E(f4(x41),f4(x42))
% 111.63/111.78  [5]~E(x51,x52)+E(f2(x51,x53),f2(x52,x53))
% 111.63/111.78  [6]~E(x61,x62)+E(f2(x63,x61),f2(x63,x62))
% 111.63/111.78  [7]~E(x71,x72)+E(f5(x71,x73),f5(x72,x73))
% 111.63/111.78  [8]~E(x81,x82)+E(f5(x83,x81),f5(x83,x82))
% 111.63/111.78  [9]P1(x92,x93,x94)+~E(x91,x92)+~P1(x91,x93,x94)
% 111.63/111.78  [10]P1(x103,x102,x104)+~E(x101,x102)+~P1(x103,x101,x104)
% 111.63/111.78  [11]P1(x113,x114,x112)+~E(x111,x112)+~P1(x113,x114,x111)
% 111.63/111.78  [12]P2(x122,x123,x124)+~E(x121,x122)+~P2(x121,x123,x124)
% 111.63/111.78  [13]P2(x133,x132,x134)+~E(x131,x132)+~P2(x133,x131,x134)
% 111.63/111.78  [14]P2(x143,x144,x142)+~E(x141,x142)+~P2(x143,x144,x141)
% 111.63/111.78  
% 111.63/111.78  %-------------------------------------------
% 111.74/111.83  cnf(38,plain,
% 111.74/111.83     (~P2(f2(a6,a7),a6,a6)),
% 111.74/111.83     inference(scs_inference,[],[25,27])).
% 111.74/111.83  cnf(39,plain,
% 111.74/111.83     (~E(f5(a6,f2(a6,a7)),a6)),
% 111.74/111.83     inference(scs_inference,[],[25,24,27,14])).
% 111.74/111.83  cnf(40,plain,
% 111.74/111.83     (P2(x401,x402,f5(x401,x402))),
% 111.74/111.83     inference(rename_variables,[],[24])).
% 111.74/111.83  cnf(41,plain,
% 111.74/111.83     (~E(a3,f2(a6,a7))),
% 111.74/111.83     inference(scs_inference,[],[25,16,24,27,14,13])).
% 111.74/111.83  cnf(42,plain,
% 111.74/111.83     (P2(x421,a3,x421)),
% 111.74/111.83     inference(rename_variables,[],[16])).
% 111.74/111.83  cnf(43,plain,
% 111.74/111.83     (E(x431,f5(x431,a3))),
% 111.74/111.83     inference(scs_inference,[],[25,16,42,24,40,27,14,13,29])).
% 111.74/111.83  cnf(44,plain,
% 111.74/111.83     (P2(x441,x442,f5(x441,x442))),
% 111.74/111.83     inference(rename_variables,[],[24])).
% 111.74/111.83  cnf(46,plain,
% 111.74/111.83     (E(x461,f2(x461,a1))),
% 111.74/111.83     inference(scs_inference,[],[25,15,16,42,23,24,40,27,14,13,29,28])).
% 111.74/111.83  cnf(47,plain,
% 111.74/111.83     (P1(x471,x472,f2(x471,x472))),
% 111.74/111.83     inference(rename_variables,[],[23])).
% 111.74/111.83  cnf(49,plain,
% 111.74/111.83     (P2(a3,a3,f2(a3,a1))),
% 111.74/111.83     inference(scs_inference,[],[25,15,16,42,18,23,47,24,40,27,14,13,29,28,37])).
% 111.74/111.83  cnf(50,plain,
% 111.74/111.83     (P1(x501,x502,f2(x501,x502))),
% 111.74/111.83     inference(rename_variables,[],[23])).
% 111.74/111.83  cnf(51,plain,
% 111.74/111.83     (P1(x511,a1,x511)),
% 111.74/111.83     inference(rename_variables,[],[15])).
% 111.74/111.83  cnf(52,plain,
% 111.74/111.83     (P2(a3,x521,x521)),
% 111.74/111.83     inference(rename_variables,[],[18])).
% 111.74/111.83  cnf(53,plain,
% 111.74/111.83     (P2(x531,a3,x531)),
% 111.74/111.83     inference(rename_variables,[],[16])).
% 111.74/111.83  cnf(55,plain,
% 111.74/111.83     (P2(x551,f2(x551,a3),x551)),
% 111.74/111.83     inference(scs_inference,[],[25,15,51,16,42,53,18,23,47,50,24,40,27,14,13,29,28,37,36])).
% 111.74/111.83  cnf(56,plain,
% 111.74/111.83     (P1(x561,x562,f2(x561,x562))),
% 111.74/111.83     inference(rename_variables,[],[23])).
% 111.74/111.83  cnf(57,plain,
% 111.74/111.83     (P2(x571,a3,x571)),
% 111.74/111.83     inference(rename_variables,[],[16])).
% 111.74/111.83  cnf(59,plain,
% 111.74/111.83     (P2(a1,a3,f2(a1,a1))),
% 111.74/111.83     inference(scs_inference,[],[25,15,51,16,42,53,57,18,23,47,50,56,24,40,27,14,13,29,28,37,36,34])).
% 111.74/111.83  cnf(60,plain,
% 111.74/111.83     (P1(x601,x602,f2(x601,x602))),
% 111.74/111.83     inference(rename_variables,[],[23])).
% 111.74/111.83  cnf(61,plain,
% 111.74/111.83     (P1(x611,a1,x611)),
% 111.74/111.83     inference(rename_variables,[],[15])).
% 111.74/111.83  cnf(63,plain,
% 111.74/111.83     (P2(x631,a3,x631)),
% 111.74/111.83     inference(rename_variables,[],[16])).
% 111.74/111.83  cnf(65,plain,
% 111.74/111.83     (P1(a3,f5(a1,a1),a3)),
% 111.74/111.83     inference(scs_inference,[],[25,15,51,61,16,42,53,57,63,18,23,47,50,56,24,40,44,27,14,13,29,28,37,36,34,33])).
% 111.74/111.83  cnf(67,plain,
% 111.74/111.84     (P1(x671,a1,x671)),
% 111.74/111.84     inference(rename_variables,[],[15])).
% 111.74/111.84  cnf(68,plain,
% 111.74/111.84     (P2(x681,a3,x681)),
% 111.74/111.84     inference(rename_variables,[],[16])).
% 111.74/111.84  cnf(69,plain,
% 111.74/111.84     (P2(x691,x692,f5(x691,x692))),
% 111.74/111.84     inference(rename_variables,[],[24])).
% 111.74/111.84  cnf(71,plain,
% 111.74/111.84     (P1(a1,a1,f5(a1,a3))),
% 111.74/111.84     inference(scs_inference,[],[25,15,51,61,67,16,42,53,57,63,68,18,23,47,50,56,24,40,44,69,27,14,13,29,28,37,36,34,33,32])).
% 111.74/111.84  cnf(72,plain,
% 111.74/111.84     (P2(x721,x722,f5(x721,x722))),
% 111.74/111.84     inference(rename_variables,[],[24])).
% 111.74/111.84  cnf(74,plain,
% 111.74/111.84     (P2(x741,a3,x741)),
% 111.74/111.84     inference(rename_variables,[],[16])).
% 111.74/111.84  cnf(75,plain,
% 111.74/111.84     (P1(x751,a1,x751)),
% 111.74/111.84     inference(rename_variables,[],[15])).
% 111.74/111.84  cnf(77,plain,
% 111.74/111.84     (P1(x771,x771,f5(x771,f2(a3,a3)))),
% 111.74/111.84     inference(scs_inference,[],[25,15,51,61,67,16,42,53,57,63,68,74,18,23,47,50,56,60,24,40,44,69,72,27,14,13,29,28,37,36,34,33,32,31])).
% 111.74/111.84  cnf(78,plain,
% 111.74/111.84     (P2(x781,x782,f5(x781,x782))),
% 111.74/111.84     inference(rename_variables,[],[24])).
% 111.74/111.84  cnf(79,plain,
% 111.74/111.84     (P1(x791,x792,f2(x791,x792))),
% 111.74/111.84     inference(rename_variables,[],[23])).
% 111.74/111.84  cnf(81,plain,
% 111.74/111.84     (P1(f5(a3,a1),a1,f5(a1,f2(a3,a3)))),
% 111.74/111.84     inference(scs_inference,[],[25,15,51,61,67,75,16,42,53,57,63,68,74,18,52,23,47,50,56,60,24,40,44,69,72,78,27,14,13,29,28,37,36,34,33,32,31,30])).
% 111.74/111.84  cnf(82,plain,
% 111.74/111.84     (P1(x821,a1,x821)),
% 111.74/111.84     inference(rename_variables,[],[15])).
% 111.74/111.84  cnf(86,plain,
% 111.74/111.84     (~E(a6,f5(a6,f2(a6,a7)))),
% 111.74/111.84     inference(scs_inference,[],[25,15,51,61,67,75,16,42,53,57,63,68,74,18,52,23,47,50,56,60,24,40,44,69,72,78,27,14,13,29,28,37,36,34,33,32,31,30,2])).
% 111.74/111.84  cnf(87,plain,
% 111.74/111.84     (P1(x871,x872,f2(x872,x871))),
% 111.74/111.84     inference(scs_inference,[],[25,15,51,61,67,75,16,42,53,57,63,68,74,18,52,23,47,50,56,60,79,24,40,44,69,72,78,27,14,13,29,28,37,36,34,33,32,31,30,2,26])).
% 111.74/111.84  cnf(90,plain,
% 111.74/111.84     (E(f5(a3,x901),f5(f5(a3,a3),x901))),
% 111.74/111.84     inference(scs_inference,[],[25,15,51,61,67,75,16,42,53,57,63,68,74,18,52,23,47,50,56,60,79,24,40,44,69,72,78,27,14,13,29,28,37,36,34,33,32,31,30,2,26,8,7])).
% 111.74/111.84  cnf(91,plain,
% 111.74/111.84     (E(f2(x911,a3),f2(x911,f5(a3,a3)))),
% 111.74/111.84     inference(scs_inference,[],[25,15,51,61,67,75,16,42,53,57,63,68,74,18,52,23,47,50,56,60,79,24,40,44,69,72,78,27,14,13,29,28,37,36,34,33,32,31,30,2,26,8,7,6])).
% 111.74/111.84  cnf(92,plain,
% 111.74/111.84     (E(f2(a3,x921),f2(f5(a3,a3),x921))),
% 111.74/111.84     inference(scs_inference,[],[25,15,51,61,67,75,16,42,53,57,63,68,74,18,52,23,47,50,56,60,79,24,40,44,69,72,78,27,14,13,29,28,37,36,34,33,32,31,30,2,26,8,7,6,5])).
% 111.74/111.84  cnf(93,plain,
% 111.74/111.84     (E(f4(a3),f4(f5(a3,a3)))),
% 111.74/111.84     inference(scs_inference,[],[25,15,51,61,67,75,16,42,53,57,63,68,74,18,52,23,47,50,56,60,79,24,40,44,69,72,78,27,14,13,29,28,37,36,34,33,32,31,30,2,26,8,7,6,5,4])).
% 111.74/111.84  cnf(94,plain,
% 111.74/111.84     (~P2(x941,f2(a6,a7),a6)+~E(x941,a6)),
% 111.74/111.84     inference(scs_inference,[],[25,15,51,61,67,75,16,42,53,57,63,68,74,18,52,23,47,50,56,60,79,24,40,44,69,72,78,27,14,13,29,28,37,36,34,33,32,31,30,2,26,8,7,6,5,4,12])).
% 111.74/111.84  cnf(95,plain,
% 111.74/111.84     (~E(f5(a3,a3),f2(a6,a7))),
% 111.74/111.84     inference(scs_inference,[],[25,15,51,61,67,75,16,42,53,57,63,68,74,18,52,23,47,50,56,60,79,24,40,44,69,72,78,27,14,13,29,28,37,36,34,33,32,31,30,2,26,8,7,6,5,4,12,3])).
% 111.74/111.84  cnf(96,plain,
% 111.74/111.84     (~P1(a3,a6,f2(a6,a7))),
% 111.74/111.84     inference(scs_inference,[],[25,15,51,61,67,75,16,42,53,57,63,68,74,17,18,52,23,47,50,56,60,79,24,40,44,69,72,78,27,14,13,29,28,37,36,34,33,32,31,30,2,26,8,7,6,5,4,12,3,35])).
% 111.74/111.84  cnf(97,plain,
% 111.74/111.84     (P1(a1,x971,x971)),
% 111.74/111.84     inference(rename_variables,[],[17])).
% 111.74/111.84  cnf(100,plain,
% 111.74/111.84     (P1(a3,a1,f5(a3,a3))),
% 111.74/111.84     inference(scs_inference,[],[25,15,51,61,67,75,82,16,42,53,57,63,68,74,17,18,52,23,47,50,56,60,79,24,40,44,69,72,78,27,14,13,29,28,37,36,34,33,32,31,30,2,26,8,7,6,5,4,12,3,35,11])).
% 111.74/111.84  cnf(101,plain,
% 111.74/111.84     (P1(a1,f5(a3,a3),a3)),
% 111.74/111.84     inference(scs_inference,[],[25,15,51,61,67,75,82,16,42,53,57,63,68,74,17,97,18,52,23,47,50,56,60,79,24,40,44,69,72,78,27,14,13,29,28,37,36,34,33,32,31,30,2,26,8,7,6,5,4,12,3,35,11,10])).
% 111.74/111.84  cnf(102,plain,
% 111.74/111.84     (P1(f5(a3,a3),a1,a3)),
% 111.74/111.84     inference(scs_inference,[],[25,15,51,61,67,75,82,16,42,53,57,63,68,74,17,97,18,52,23,47,50,56,60,79,24,40,44,69,72,78,27,14,13,29,28,37,36,34,33,32,31,30,2,26,8,7,6,5,4,12,3,35,11,10,9])).
% 111.74/111.84  cnf(104,plain,
% 111.74/111.84     (~P2(f5(a3,a3),a3,f2(a6,a7))),
% 111.74/111.84     inference(scs_inference,[],[16,95,29])).
% 111.74/111.84  cnf(105,plain,
% 111.74/111.84     (P2(x1051,a3,x1051)),
% 111.74/111.84     inference(rename_variables,[],[16])).
% 111.74/111.84  cnf(107,plain,
% 111.74/111.84     (~P1(x1071,f4(x1071),f2(a6,a7))),
% 111.74/111.84     inference(scs_inference,[],[19,16,95,41,29,28])).
% 111.74/111.84  cnf(109,plain,
% 111.74/111.84     (P2(f4(a1),f4(f4(a1)),f2(a1,a1))),
% 111.74/111.84     inference(scs_inference,[],[19,20,22,16,17,23,95,41,29,28,37])).
% 111.74/111.84  cnf(110,plain,
% 111.74/111.84     (P1(a1,x1101,x1101)),
% 111.74/111.84     inference(rename_variables,[],[17])).
% 111.74/111.84  cnf(111,plain,
% 111.74/111.84     (P2(x1111,f4(x1111),a1)),
% 111.74/111.84     inference(rename_variables,[],[20])).
% 111.74/111.84  cnf(112,plain,
% 111.74/111.84     (P2(f4(x1121),x1121,a1)),
% 111.74/111.84     inference(rename_variables,[],[22])).
% 111.74/111.84  cnf(113,plain,
% 111.74/111.84     (P1(x1131,x1132,f2(x1131,x1132))),
% 111.74/111.84     inference(rename_variables,[],[23])).
% 111.74/111.84  cnf(115,plain,
% 111.74/111.84     (P1(a1,a1,f2(f4(a3),f4(a3)))),
% 111.74/111.84     inference(scs_inference,[],[19,20,111,22,16,17,18,23,113,95,41,29,28,37,31])).
% 111.74/111.84  cnf(117,plain,
% 111.74/111.84     (P2(x1171,f4(x1171),a1)),
% 111.74/111.84     inference(rename_variables,[],[20])).
% 111.74/111.84  cnf(118,plain,
% 111.74/111.84     (P1(x1181,x1182,f2(x1181,x1182))),
% 111.74/111.84     inference(rename_variables,[],[23])).
% 111.74/111.84  cnf(121,plain,
% 111.74/111.84     (P2(a3,f2(f4(a1),f4(a1)),a3)),
% 111.74/111.84     inference(scs_inference,[],[19,20,111,117,21,22,16,17,18,23,113,118,95,41,29,28,37,31,36])).
% 111.74/111.84  cnf(123,plain,
% 111.74/111.84     (P2(x1231,f4(x1231),a1)),
% 111.74/111.84     inference(rename_variables,[],[20])).
% 111.74/111.84  cnf(124,plain,
% 111.74/111.84     (P1(f4(x1241),x1241,a3)),
% 111.74/111.84     inference(rename_variables,[],[21])).
% 111.74/111.84  cnf(125,plain,
% 111.74/111.84     (P1(x1251,x1252,f2(x1251,x1252))),
% 111.74/111.84     inference(rename_variables,[],[23])).
% 111.74/111.84  cnf(127,plain,
% 111.74/111.84     (E(f5(x1271,a3),x1271)),
% 111.74/111.84     inference(scs_inference,[],[19,20,111,117,21,22,16,17,18,23,113,118,43,95,41,29,28,37,31,36,2])).
% 111.74/111.84  cnf(128,plain,
% 111.74/111.84     (P2(x1281,x1282,f5(x1282,x1281))),
% 111.74/111.84     inference(scs_inference,[],[19,20,111,117,21,22,16,17,18,23,113,118,24,43,95,41,29,28,37,31,36,2,27])).
% 111.74/111.84  cnf(130,plain,
% 111.74/111.84     (P1(f4(x1301),x1301,f5(a3,a3))),
% 111.74/111.84     inference(scs_inference,[],[19,20,111,117,21,124,22,16,17,18,23,113,118,24,43,95,41,29,28,37,31,36,2,27,11])).
% 111.74/111.84  cnf(131,plain,
% 111.74/111.84     (E(x1311,f5(x1311,a3))),
% 111.74/111.84     inference(rename_variables,[],[43])).
% 111.74/111.84  cnf(132,plain,
% 111.74/111.84     (P1(x1321,f5(f4(x1321),a3),a3)),
% 111.74/111.84     inference(scs_inference,[],[19,20,111,117,21,124,22,16,17,18,23,113,118,24,43,131,95,41,29,28,37,31,36,2,27,11,10])).
% 111.74/111.84  cnf(133,plain,
% 111.74/111.84     (E(x1331,f5(x1331,a3))),
% 111.74/111.84     inference(rename_variables,[],[43])).
% 111.74/111.84  cnf(134,plain,
% 111.74/111.84     (E(x1341,f2(f5(x1341,a3),a1))),
% 111.74/111.84     inference(scs_inference,[],[19,20,111,117,21,124,22,16,17,18,23,113,118,24,43,131,133,46,95,41,29,28,37,31,36,2,27,11,10,3])).
% 111.74/111.84  cnf(136,plain,
% 111.74/111.84     (P2(f2(x1361,x1361),f4(x1361),a1)),
% 111.74/111.84     inference(scs_inference,[],[19,20,111,117,123,21,124,22,16,17,110,18,23,113,118,125,24,43,131,133,46,95,41,29,28,37,31,36,2,27,11,10,3,34])).
% 111.74/111.84  cnf(137,plain,
% 111.74/111.84     (P1(x1371,x1372,f2(x1371,x1372))),
% 111.74/111.84     inference(rename_variables,[],[23])).
% 111.74/111.84  cnf(138,plain,
% 111.74/111.84     (P1(a1,x1381,x1381)),
% 111.74/111.84     inference(rename_variables,[],[17])).
% 111.74/111.84  cnf(140,plain,
% 111.74/111.84     (~P1(a6,a3,f2(a6,a7))),
% 111.74/111.84     inference(scs_inference,[],[19,20,111,117,123,21,124,22,16,17,110,18,23,113,118,125,24,43,131,133,46,95,41,96,29,28,37,31,36,2,27,11,10,3,34,26])).
% 111.74/111.84  cnf(142,plain,
% 111.74/111.84     (~P2(f2(f4(a3),f4(a1)),a3,f2(a6,a7))),
% 111.74/111.84     inference(scs_inference,[],[19,20,111,117,123,21,124,22,112,16,105,17,110,18,23,113,118,125,137,24,43,131,133,46,95,41,96,29,28,37,31,36,2,27,11,10,3,34,26,32])).
% 111.74/111.84  cnf(143,plain,
% 111.74/111.84     (P2(x1431,a3,x1431)),
% 111.74/111.84     inference(rename_variables,[],[16])).
% 111.74/111.84  cnf(147,plain,
% 111.74/111.84     (~P1(f4(a1),a6,f2(a6,a7))),
% 111.74/111.84     inference(scs_inference,[],[25,19,20,111,117,123,21,124,22,112,16,105,17,110,138,18,23,113,118,125,137,24,43,131,133,46,95,41,96,29,28,37,31,36,2,27,11,10,3,34,26,32,35])).
% 111.74/111.84  cnf(148,plain,
% 111.74/111.84     (P2(x1481,f4(x1481),a1)),
% 111.74/111.84     inference(rename_variables,[],[20])).
% 111.74/111.84  cnf(152,plain,
% 111.74/111.84     (~E(f5(f2(a6,a7),a6),a6)),
% 111.74/111.84     inference(scs_inference,[],[25,19,20,111,117,123,21,124,22,112,16,105,17,110,138,18,23,113,118,125,137,24,43,131,133,46,95,41,38,96,29,28,37,31,36,2,27,11,10,3,34,26,32,35,14])).
% 111.74/111.84  cnf(154,plain,
% 111.74/111.84     (~P2(f5(a3,a3),f5(a3,a3),f2(a6,a7))),
% 111.74/111.84     inference(scs_inference,[],[25,19,20,111,117,123,21,124,22,112,16,105,17,110,138,18,23,113,118,125,137,24,43,131,133,46,95,41,38,96,29,28,37,31,36,2,27,11,10,3,34,26,32,35,14,13])).
% 111.74/111.84  cnf(157,plain,
% 111.74/111.84     (E(x1571,f5(x1571,a3))),
% 111.74/111.84     inference(rename_variables,[],[43])).
% 111.74/111.84  cnf(158,plain,
% 111.74/111.84     (P2(f5(x1581,a3),f4(x1581),a1)),
% 111.74/111.84     inference(scs_inference,[],[25,19,20,111,117,123,148,21,124,22,112,16,105,17,110,138,18,23,113,118,125,137,24,43,131,133,157,46,95,41,38,96,29,28,37,31,36,2,27,11,10,3,34,26,32,35,14,13,9,12])).
% 111.74/111.84  cnf(162,plain,
% 111.74/111.84     (P2(x1621,f4(x1621),a1)),
% 111.74/111.84     inference(rename_variables,[],[20])).
% 111.74/111.84  cnf(163,plain,
% 111.74/111.84     (P1(f4(x1631),x1631,a3)),
% 111.74/111.84     inference(rename_variables,[],[21])).
% 111.74/111.84  cnf(165,plain,
% 111.74/111.84     (~P1(f4(a1),f4(a1),f2(a6,a7))),
% 111.74/111.84     inference(scs_inference,[],[25,19,20,111,117,123,148,162,21,124,163,22,112,16,105,143,17,110,138,18,23,113,118,125,137,24,43,131,133,157,46,95,41,38,96,29,28,37,31,36,2,27,11,10,3,34,26,32,35,14,13,9,12,33,30])).
% 111.74/111.84  cnf(172,plain,
% 111.74/111.84     (~P1(x1721,f4(x1721),f2(a6,a7))),
% 111.74/111.84     inference(rename_variables,[],[107])).
% 111.74/111.84  cnf(173,plain,
% 111.74/111.84     (P1(x1731,a1,x1731)),
% 111.74/111.84     inference(rename_variables,[],[15])).
% 111.74/111.84  cnf(174,plain,
% 111.74/111.84     (P2(x1741,a3,x1741)),
% 111.74/111.84     inference(rename_variables,[],[16])).
% 111.74/111.84  cnf(176,plain,
% 111.74/111.84     (~P1(a6,f4(a7),a6)),
% 111.74/111.84     inference(scs_inference,[],[15,173,38,20,16,23,107,31,36])).
% 111.74/111.84  cnf(177,plain,
% 111.74/111.84     (P2(x1771,f4(x1771),a1)),
% 111.74/111.84     inference(rename_variables,[],[20])).
% 111.74/111.84  cnf(178,plain,
% 111.74/111.84     (P1(x1781,a1,x1781)),
% 111.74/111.84     inference(rename_variables,[],[15])).
% 111.74/111.84  cnf(179,plain,
% 111.74/111.84     (P1(x1791,x1792,f2(x1791,x1792))),
% 111.74/111.84     inference(rename_variables,[],[23])).
% 111.74/111.84  cnf(181,plain,
% 111.74/111.84     (~P2(a6,a3,f5(a6,f2(a6,a7)))),
% 111.74/111.84     inference(scs_inference,[],[15,173,38,20,16,174,23,107,39,31,36,29])).
% 111.74/111.84  cnf(182,plain,
% 111.74/111.84     (P2(x1821,a3,x1821)),
% 111.74/111.84     inference(rename_variables,[],[16])).
% 111.74/111.84  cnf(185,plain,
% 111.74/111.84     (P1(x1851,a1,x1851)),
% 111.74/111.84     inference(rename_variables,[],[15])).
% 111.74/111.84  cnf(187,plain,
% 111.74/111.84     (P2(a3,f2(a3,a3),f2(f2(a3,a1),f2(a3,a1)))),
% 111.74/111.84     inference(scs_inference,[],[15,173,178,38,20,16,174,23,179,87,107,49,39,31,36,29,28,37])).
% 111.74/111.84  cnf(188,plain,
% 111.74/111.84     (P1(x1881,x1882,f2(x1881,x1882))),
% 111.74/111.84     inference(rename_variables,[],[23])).
% 111.74/111.84  cnf(191,plain,
% 111.74/111.84     (~P1(a1,a3,f2(a6,a7))),
% 111.74/111.84     inference(scs_inference,[],[15,173,178,38,20,22,16,174,182,23,179,87,130,107,49,39,104,31,36,29,28,37,34])).
% 111.74/111.84  cnf(192,plain,
% 111.74/111.84     (P2(x1921,a3,x1921)),
% 111.74/111.84     inference(rename_variables,[],[16])).
% 111.74/111.84  cnf(193,plain,
% 111.74/111.84     (P2(f4(x1931),x1931,a1)),
% 111.74/111.84     inference(rename_variables,[],[22])).
% 111.74/111.84  cnf(194,plain,
% 111.74/111.84     (P1(f4(x1941),x1941,f5(a3,a3))),
% 111.74/111.84     inference(rename_variables,[],[130])).
% 111.74/111.84  cnf(196,plain,
% 111.74/111.84     (~P2(a3,f5(a3,a3),f2(a6,a7))),
% 111.74/111.84     inference(scs_inference,[],[15,173,178,38,20,22,16,174,182,23,179,87,130,107,49,39,104,31,36,29,28,37,34,27])).
% 111.74/111.84  cnf(198,plain,
% 111.74/111.84     (~P2(a1,a3,f4(f2(a6,a7)))),
% 111.74/111.84     inference(scs_inference,[],[15,173,178,185,38,20,22,16,174,182,192,23,179,87,130,107,172,49,39,104,31,36,29,28,37,34,27,32])).
% 111.74/111.84  cnf(200,plain,
% 111.74/111.84     (~P1(x2001,f4(x2001),f2(a6,a7))),
% 111.74/111.84     inference(rename_variables,[],[107])).
% 111.74/111.84  cnf(201,plain,
% 111.74/111.84     (P1(x2011,a1,x2011)),
% 111.74/111.84     inference(rename_variables,[],[15])).
% 111.74/111.84  cnf(202,plain,
% 111.74/111.84     (P2(x2021,a3,x2021)),
% 111.74/111.84     inference(rename_variables,[],[16])).
% 111.74/111.84  cnf(204,plain,
% 111.74/111.84     (~E(a6,f5(f2(a6,a7),a6))),
% 111.74/111.84     inference(scs_inference,[],[15,173,178,185,38,20,22,16,174,182,192,23,179,87,130,107,172,49,39,104,152,31,36,29,28,37,34,27,32,2])).
% 111.74/111.84  cnf(205,plain,
% 111.74/111.84     (~P2(f4(a1),f2(a1,a3),f2(a6,a7))),
% 111.74/111.84     inference(scs_inference,[],[15,173,178,185,38,20,22,16,174,182,192,202,17,23,179,188,87,130,107,172,200,49,39,104,152,31,36,29,28,37,34,27,32,2,33])).
% 111.74/111.84  cnf(206,plain,
% 111.74/111.84     (P2(x2061,a3,x2061)),
% 111.74/111.84     inference(rename_variables,[],[16])).
% 111.74/111.84  cnf(207,plain,
% 111.74/111.84     (~P1(x2071,f4(x2071),f2(a6,a7))),
% 111.74/111.84     inference(rename_variables,[],[107])).
% 111.74/111.84  cnf(208,plain,
% 111.74/111.84     (P1(a1,x2081,x2081)),
% 111.74/111.84     inference(rename_variables,[],[17])).
% 111.74/111.84  cnf(209,plain,
% 111.74/111.84     (P1(x2091,x2092,f2(x2091,x2092))),
% 111.74/111.84     inference(rename_variables,[],[23])).
% 111.74/111.84  cnf(211,plain,
% 111.74/111.84     (~P2(f4(a1),f2(f4(a1),f4(a1)),f2(a6,a7))),
% 111.74/111.84     inference(scs_inference,[],[15,173,178,185,38,20,177,22,16,174,182,192,202,17,208,23,179,188,209,87,130,107,172,200,207,49,39,104,152,31,36,29,28,37,34,27,32,2,33,30])).
% 111.74/111.84  cnf(212,plain,
% 111.74/111.84     (P2(x2121,f4(x2121),a1)),
% 111.74/111.84     inference(rename_variables,[],[20])).
% 111.74/111.84  cnf(213,plain,
% 111.74/111.84     (~P1(x2131,f4(x2131),f2(a6,a7))),
% 111.74/111.84     inference(rename_variables,[],[107])).
% 111.74/111.84  cnf(217,plain,
% 111.74/111.84     (P1(x2171,f4(x2171),f5(a3,a3))),
% 111.74/111.84     inference(scs_inference,[],[15,173,178,185,38,20,177,22,16,174,182,192,202,17,208,23,179,188,209,87,130,194,107,172,200,207,49,39,104,152,31,36,29,28,37,34,27,32,2,33,30,26])).
% 111.74/111.84  cnf(219,plain,
% 111.74/111.84     (~P1(a3,a1,f2(a6,a7))),
% 111.74/111.84     inference(scs_inference,[],[15,173,178,185,201,38,20,177,22,16,174,182,192,202,17,208,18,23,179,188,209,87,130,194,107,172,200,207,49,39,104,152,31,36,29,28,37,34,27,32,2,33,30,26,35])).
% 111.74/111.84  cnf(224,plain,
% 111.74/111.84     (~P1(x2241,f5(f4(x2241),a3),f2(a6,a7))),
% 111.74/111.84     inference(scs_inference,[],[15,173,178,185,201,38,20,177,22,16,174,182,192,202,17,208,18,23,179,188,209,87,130,194,127,107,172,200,207,213,49,39,104,152,31,36,29,28,37,34,27,32,2,33,30,26,35,10])).
% 111.74/111.84  cnf(225,plain,
% 111.74/111.84     (E(f5(x2251,a3),x2251)),
% 111.74/111.84     inference(rename_variables,[],[127])).
% 111.74/111.84  cnf(226,plain,
% 111.74/111.84     (~P1(f5(x2261,a3),f4(x2261),f2(a6,a7))),
% 111.74/111.84     inference(scs_inference,[],[15,173,178,185,201,38,20,177,22,16,174,182,192,202,17,208,18,23,179,188,209,87,130,194,127,225,107,172,200,207,213,49,39,104,152,31,36,29,28,37,34,27,32,2,33,30,26,35,10,9])).
% 111.74/111.84  cnf(227,plain,
% 111.74/111.84     (~P1(x2271,f4(x2271),f2(a6,a7))),
% 111.74/111.84     inference(rename_variables,[],[107])).
% 111.74/111.84  cnf(228,plain,
% 111.74/111.84     (~E(f5(a6,f2(a6,a7)),f5(a6,a3))),
% 111.74/111.84     inference(scs_inference,[],[15,173,178,185,201,38,20,177,22,16,174,182,192,202,17,208,18,23,179,188,209,87,130,194,127,225,107,172,200,207,213,49,39,104,152,31,36,29,28,37,34,27,32,2,33,30,26,35,10,9,3])).
% 111.74/111.84  cnf(229,plain,
% 111.74/111.84     (E(f5(x2291,a3),x2291)),
% 111.74/111.84     inference(rename_variables,[],[127])).
% 111.74/111.84  cnf(230,plain,
% 111.74/111.84     (P2(f5(x2301,a3),a3,x2301)),
% 111.74/111.84     inference(scs_inference,[],[15,173,178,185,201,38,20,177,22,16,174,182,192,202,206,17,208,18,23,179,188,209,87,130,194,127,225,229,107,172,200,207,213,49,39,104,152,31,36,29,28,37,34,27,32,2,33,30,26,35,10,9,3,14])).
% 111.74/111.84  cnf(232,plain,
% 111.74/111.84     (P2(f4(f5(x2321,a3)),x2321,a1)),
% 111.74/111.84     inference(scs_inference,[],[15,173,178,185,201,38,20,177,22,193,16,174,182,192,202,206,17,208,18,23,179,188,209,87,130,194,127,225,229,107,172,200,207,213,49,39,104,152,31,36,29,28,37,34,27,32,2,33,30,26,35,10,9,3,14,13])).
% 111.74/111.84  cnf(234,plain,
% 111.74/111.84     (~P1(x2341,f4(x2341),f5(f2(a6,a7),a3))),
% 111.74/111.84     inference(scs_inference,[],[15,173,178,185,201,38,20,177,22,193,16,174,182,192,202,206,17,208,18,23,179,188,209,87,130,194,127,225,229,107,172,200,207,213,227,49,39,104,152,31,36,29,28,37,34,27,32,2,33,30,26,35,10,9,3,14,13,11])).
% 111.74/111.84  cnf(235,plain,
% 111.74/111.84     (E(f5(x2351,a3),x2351)),
% 111.74/111.84     inference(rename_variables,[],[127])).
% 111.74/111.84  cnf(236,plain,
% 111.74/111.84     (P2(x2361,f4(f5(x2361,a3)),a1)),
% 111.74/111.84     inference(scs_inference,[],[15,173,178,185,201,38,20,177,212,22,193,16,174,182,192,202,206,17,208,18,23,179,188,209,87,130,194,127,225,229,235,107,172,200,207,213,227,49,39,104,152,31,36,29,28,37,34,27,32,2,33,30,26,35,10,9,3,14,13,11,12])).
% 111.74/111.84  cnf(238,plain,
% 111.74/111.84     (~P2(f5(a6,a3),f2(a6,a7),a6)),
% 111.74/111.84     inference(scs_inference,[],[15,173,178,185,201,38,20,177,212,22,193,16,174,182,192,202,206,17,208,18,23,179,188,209,87,130,194,127,225,229,235,107,172,200,207,213,227,49,39,104,152,31,36,29,28,37,34,27,32,2,33,30,26,35,10,9,3,14,13,11,12,94])).
% 111.74/111.84  cnf(239,plain,
% 111.74/111.84     (~E(f2(a6,a7),a3)),
% 111.74/111.84     inference(scs_inference,[],[15,173,178,185,201,38,20,177,212,22,193,16,174,182,192,202,206,17,208,18,23,179,188,209,87,130,194,127,225,229,235,107,172,200,207,213,227,49,39,104,152,31,36,29,28,37,34,27,32,2,33,30,26,35,10,9,3,14,13,11,12,94,8])).
% 111.74/111.84  cnf(240,plain,
% 111.74/111.84     (E(f4(a1),a3)),
% 111.74/111.84     inference(scs_inference,[],[15,21,28])).
% 111.74/111.84  cnf(242,plain,
% 111.74/111.84     (P1(x2421,a1,x2421)),
% 111.74/111.84     inference(rename_variables,[],[15])).
% 111.74/111.85  cnf(244,plain,
% 111.74/111.85     (~P2(a3,a1,f4(f2(a6,a7)))),
% 111.74/111.85     inference(scs_inference,[],[15,242,21,18,128,226,28,31])).
% 111.74/111.85  cnf(245,plain,
% 111.74/111.85     (~P1(f5(x2451,a3),f4(x2451),f2(a6,a7))),
% 111.74/111.85     inference(rename_variables,[],[226])).
% 111.74/111.85  cnf(246,plain,
% 111.74/111.85     (P1(x2461,a1,x2461)),
% 111.74/111.85     inference(rename_variables,[],[15])).
% 111.74/111.85  cnf(247,plain,
% 111.74/111.85     (P2(a3,x2471,x2471)),
% 111.74/111.85     inference(rename_variables,[],[18])).
% 111.74/111.85  cnf(248,plain,
% 111.74/111.85     (P2(x2481,x2482,f5(x2482,x2481))),
% 111.74/111.85     inference(rename_variables,[],[128])).
% 111.74/111.85  cnf(250,plain,
% 111.74/111.85     (~P2(a7,a1,a1)),
% 111.74/111.85     inference(scs_inference,[],[15,242,246,21,18,38,23,128,226,28,31,36])).
% 111.74/111.85  cnf(253,plain,
% 111.74/111.85     (P1(x2531,a1,x2531)),
% 111.74/111.85     inference(rename_variables,[],[15])).
% 111.74/111.85  cnf(255,plain,
% 111.74/111.85     (~P1(f5(a3,a3),f5(a3,a1),f2(a6,a7))),
% 111.74/111.85     inference(scs_inference,[],[15,242,246,253,21,18,247,38,23,24,128,226,196,28,31,36,37])).
% 111.74/111.85  cnf(256,plain,
% 111.74/111.85     (P2(a3,x2561,x2561)),
% 111.74/111.85     inference(rename_variables,[],[18])).
% 111.74/111.85  cnf(257,plain,
% 111.74/111.85     (P1(x2571,a1,x2571)),
% 111.74/111.85     inference(rename_variables,[],[15])).
% 111.74/111.85  cnf(260,plain,
% 111.74/111.85     (~P1(f4(a6),a3,f2(a6,a7))),
% 111.74/111.85     inference(scs_inference,[],[15,242,246,253,21,22,17,18,247,256,38,23,24,128,226,196,28,31,36,37,34])).
% 111.74/111.85  cnf(263,plain,
% 111.74/111.85     (P2(a3,x2631,x2631)),
% 111.74/111.85     inference(rename_variables,[],[18])).
% 111.74/111.85  cnf(265,plain,
% 111.74/111.85     (P2(f2(x2651,a3),x2651,x2651)),
% 111.74/111.85     inference(scs_inference,[],[15,242,246,253,21,22,17,18,247,256,38,23,24,128,55,226,196,28,31,36,37,34,27])).
% 111.74/111.85  cnf(267,plain,
% 111.74/111.85     (E(f5(x2671,x2672),f5(x2671,f2(x2672,a1)))),
% 111.74/111.85     inference(scs_inference,[],[15,242,246,253,21,22,17,18,247,256,38,23,24,128,55,226,196,46,28,31,36,37,34,27,8])).
% 111.74/111.85  cnf(268,plain,
% 111.74/111.85     (E(a1,f4(a3))),
% 111.74/111.85     inference(scs_inference,[],[15,242,246,253,20,21,22,17,18,247,256,263,38,23,24,128,55,226,196,46,28,31,36,37,34,27,8,29])).
% 111.74/111.85  cnf(269,plain,
% 111.74/111.85     (P2(a3,x2691,x2691)),
% 111.74/111.85     inference(rename_variables,[],[18])).
% 111.74/111.85  cnf(270,plain,
% 111.74/111.85     (P2(x2701,f4(x2701),a1)),
% 111.74/111.85     inference(rename_variables,[],[20])).
% 111.74/111.85  cnf(272,plain,
% 111.74/111.85     (~P2(a3,a3,f2(a6,a7))),
% 111.74/111.85     inference(scs_inference,[],[15,242,246,253,257,20,21,22,17,18,247,256,263,269,38,23,24,128,55,226,196,219,46,28,31,36,37,34,27,8,29,30])).
% 111.74/111.85  cnf(274,plain,
% 111.74/111.85     (P1(x2741,a1,x2741)),
% 111.74/111.85     inference(rename_variables,[],[15])).
% 111.74/111.85  cnf(275,plain,
% 111.74/111.85     (P2(a3,x2751,x2751)),
% 111.74/111.85     inference(rename_variables,[],[18])).
% 111.74/111.85  cnf(277,plain,
% 111.74/111.85     (P2(f5(a3,a3),f5(a3,a3),f5(a3,a3))),
% 111.74/111.85     inference(scs_inference,[],[15,242,246,253,257,20,21,22,17,18,247,256,263,269,275,38,23,24,128,55,226,196,100,219,46,28,31,36,37,34,27,8,29,30,35])).
% 111.74/111.85  cnf(278,plain,
% 111.74/111.85     (P2(a3,x2781,x2781)),
% 111.74/111.85     inference(rename_variables,[],[18])).
% 111.74/111.85  cnf(282,plain,
% 111.74/111.85     (P1(x2821,a1,x2821)),
% 111.74/111.85     inference(rename_variables,[],[15])).
% 111.74/111.85  cnf(286,plain,
% 111.74/111.85     (~P1(f4(x2861),x2861,f5(f2(a6,a7),a3))),
% 111.74/111.85     inference(scs_inference,[],[15,242,246,253,257,274,20,21,22,17,18,247,256,263,269,275,278,38,23,24,128,248,55,234,226,245,196,100,219,46,28,31,36,37,34,27,8,29,30,35,32,26])).
% 111.74/111.85  cnf(288,plain,
% 111.74/111.85     (P1(f2(f5(a3,a3),x2881),a1,f2(a3,x2881))),
% 111.74/111.85     inference(scs_inference,[],[15,242,246,253,257,274,282,20,21,22,17,18,247,256,263,269,275,278,38,23,24,128,248,55,234,92,226,245,196,100,219,46,28,31,36,37,34,27,8,29,30,35,32,26,9])).
% 111.74/111.85  cnf(289,plain,
% 111.74/111.85     (P1(x2891,a1,x2891)),
% 111.74/111.85     inference(rename_variables,[],[15])).
% 111.74/111.85  cnf(290,plain,
% 111.74/111.85     (~E(f2(f5(a3,a3),a1),f2(a6,a7))),
% 111.74/111.85     inference(scs_inference,[],[15,242,246,253,257,274,282,20,21,22,17,18,247,256,263,269,275,278,38,23,24,128,248,55,234,92,134,226,245,196,100,219,41,46,28,31,36,37,34,27,8,29,30,35,32,26,9,3])).
% 111.74/111.85  cnf(291,plain,
% 111.74/111.85     (E(x2911,f2(f5(x2911,a3),a1))),
% 111.74/111.85     inference(rename_variables,[],[134])).
% 111.74/111.85  cnf(292,plain,
% 111.74/111.85     (P2(x2921,f4(x2921),f2(f5(a1,a3),a1))),
% 111.74/111.85     inference(scs_inference,[],[15,242,246,253,257,274,282,20,270,21,22,17,18,247,256,263,269,275,278,38,23,24,128,248,55,234,92,134,291,226,245,196,100,219,41,46,28,31,36,37,34,27,8,29,30,35,32,26,9,3,14])).
% 111.74/111.85  cnf(293,plain,
% 111.74/111.85     (E(x2931,f2(f5(x2931,a3),a1))),
% 111.74/111.85     inference(rename_variables,[],[134])).
% 111.74/111.85  cnf(294,plain,
% 111.74/111.85     (E(f2(f5(a3,a3),x2941),f2(a3,x2941))),
% 111.74/111.85     inference(scs_inference,[],[15,242,246,253,257,274,282,20,270,21,22,17,18,247,256,263,269,275,278,38,23,24,128,248,55,234,92,134,291,226,245,196,100,219,41,46,28,31,36,37,34,27,8,29,30,35,32,26,9,3,14,2])).
% 111.74/111.85  cnf(295,plain,
% 111.74/111.85     (P1(x2951,f2(f5(a1,a3),a1),x2951)),
% 111.74/111.85     inference(scs_inference,[],[15,242,246,253,257,274,282,289,20,270,21,22,17,18,247,256,263,269,275,278,38,23,24,128,248,55,234,92,134,291,293,226,245,196,100,219,41,46,28,31,36,37,34,27,8,29,30,35,32,26,9,3,14,2,10])).
% 111.74/111.85  cnf(297,plain,
% 111.74/111.85     (~E(f4(a7),a1)),
% 111.74/111.85     inference(scs_inference,[],[15,242,246,253,257,274,282,289,20,270,21,22,17,18,247,256,263,269,275,278,38,23,24,128,248,55,234,92,134,291,293,226,245,196,100,219,41,46,28,31,36,37,34,27,8,29,30,35,32,26,9,3,14,2,10,13])).
% 111.74/111.85  cnf(299,plain,
% 111.74/111.85     (P1(f2(a3,x2991),a1,f2(f5(a3,a3),x2991))),
% 111.74/111.85     inference(scs_inference,[],[15,242,246,253,257,274,282,289,20,270,21,22,17,18,247,256,263,269,275,278,38,23,24,128,248,55,234,92,134,291,293,226,245,196,100,219,41,46,28,31,36,37,34,27,8,29,30,35,32,26,9,3,14,2,10,13,11])).
% 111.74/111.85  cnf(308,plain,
% 111.74/111.85     (P1(x3081,f4(x3081),a3)),
% 111.74/111.85     inference(rename_variables,[],[19])).
% 111.74/111.85  cnf(309,plain,
% 111.74/111.85     (P1(a1,x3091,x3091)),
% 111.74/111.85     inference(rename_variables,[],[17])).
% 111.74/111.85  cnf(310,plain,
% 111.74/111.85     (P2(x3101,a3,x3101)),
% 111.74/111.85     inference(rename_variables,[],[16])).
% 111.74/111.85  cnf(312,plain,
% 111.74/111.85     (~P2(f4(a1),a3,f2(a6,a7))),
% 111.74/111.85     inference(scs_inference,[],[16,310,19,308,17,309,198,272,37,34])).
% 111.74/111.85  cnf(313,plain,
% 111.74/111.85     (P1(x3131,f4(x3131),a3)),
% 111.74/111.85     inference(rename_variables,[],[19])).
% 111.74/111.85  cnf(314,plain,
% 111.74/111.85     (P1(a1,x3141,x3141)),
% 111.74/111.85     inference(rename_variables,[],[17])).
% 111.74/111.85  cnf(315,plain,
% 111.74/111.85     (P2(x3151,a3,x3151)),
% 111.74/111.85     inference(rename_variables,[],[16])).
% 111.74/111.85  cnf(319,plain,
% 111.74/111.85     (~P1(f4(x3191),x3191,f2(a6,a7))),
% 111.74/111.85     inference(scs_inference,[],[16,310,19,308,21,17,309,211,198,272,41,37,34,27,28])).
% 111.74/111.85  cnf(321,plain,
% 111.74/111.85     (P1(f5(f4(a1),f5(a3,a3)),a1,f4(a1))),
% 111.74/111.85     inference(scs_inference,[],[16,310,315,19,308,21,22,17,309,24,102,211,198,272,41,37,34,27,28,31])).
% 111.74/111.85  cnf(322,plain,
% 111.74/111.85     (P2(x3221,a3,x3221)),
% 111.74/111.85     inference(rename_variables,[],[16])).
% 111.74/111.85  cnf(323,plain,
% 111.74/111.85     (P2(f4(x3231),x3231,a1)),
% 111.74/111.85     inference(rename_variables,[],[22])).
% 111.74/111.85  cnf(324,plain,
% 111.74/111.85     (P2(x3241,x3242,f5(x3241,x3242))),
% 111.74/111.85     inference(rename_variables,[],[24])).
% 111.74/111.85  cnf(326,plain,
% 111.74/111.85     (P2(a3,a3,f5(f4(a1),f4(a1)))),
% 111.74/111.85     inference(scs_inference,[],[16,310,315,19,308,313,21,22,17,309,314,24,324,102,211,198,272,41,37,34,27,28,31,36])).
% 111.74/111.85  cnf(329,plain,
% 111.74/111.85     (P1(x3291,f4(x3291),a3)),
% 111.74/111.85     inference(rename_variables,[],[19])).
% 111.74/111.85  cnf(332,plain,
% 111.74/111.85     (P1(a1,a1,f5(f4(a3),f2(a3,a3)))),
% 111.74/111.85     inference(scs_inference,[],[16,310,315,322,19,308,313,21,22,323,17,309,314,24,324,77,102,211,198,272,41,37,34,27,28,31,36,32])).
% 111.74/111.85  cnf(333,plain,
% 111.74/111.85     (P1(x3331,x3331,f5(x3331,f2(a3,a3)))),
% 111.74/111.85     inference(rename_variables,[],[77])).
% 111.74/111.85  cnf(334,plain,
% 111.74/111.85     (P2(x3341,a3,x3341)),
% 111.74/111.85     inference(rename_variables,[],[16])).
% 111.74/111.85  cnf(336,plain,
% 111.74/111.85     (P2(f4(x3361),x3361,a1)),
% 111.74/111.85     inference(rename_variables,[],[22])).
% 111.74/111.85  cnf(339,plain,
% 111.74/111.85     (P2(x3391,a3,x3391)),
% 111.74/111.85     inference(rename_variables,[],[16])).
% 111.74/111.85  cnf(341,plain,
% 111.74/111.85     (~P1(f4(a1),f4(a1),f5(f2(a6,a7),a3))),
% 111.74/111.85     inference(scs_inference,[],[16,310,315,322,334,339,39,19,308,313,329,20,21,22,323,17,309,314,24,324,77,286,102,211,198,272,41,37,34,27,28,31,36,32,29,33])).
% 111.74/111.85  cnf(342,plain,
% 111.74/111.85     (~P1(f4(x3421),x3421,f5(f2(a6,a7),a3))),
% 111.74/111.85     inference(rename_variables,[],[286])).
% 111.74/111.85  cnf(343,plain,
% 111.74/111.85     (P1(x3431,f4(x3431),a3)),
% 111.74/111.85     inference(rename_variables,[],[19])).
% 111.74/111.85  cnf(344,plain,
% 111.74/111.85     (P2(x3441,a3,x3441)),
% 111.74/111.85     inference(rename_variables,[],[16])).
% 111.74/111.85  cnf(345,plain,
% 111.74/111.85     (P2(x3451,f4(x3451),a1)),
% 111.74/111.85     inference(rename_variables,[],[20])).
% 111.74/111.85  cnf(347,plain,
% 111.74/111.85     (P1(a1,f4(x3471),f5(f4(x3471),f2(a3,a3)))),
% 111.74/111.85     inference(scs_inference,[],[16,310,315,322,334,339,344,39,19,308,313,329,343,20,21,22,323,336,17,309,314,24,324,77,333,286,102,211,198,272,41,37,34,27,28,31,36,32,29,33,30])).
% 111.74/111.85  cnf(348,plain,
% 111.74/111.85     (P1(x3481,x3481,f5(x3481,f2(a3,a3)))),
% 111.74/111.85     inference(rename_variables,[],[77])).
% 111.74/111.85  cnf(349,plain,
% 111.74/111.85     (P1(x3491,f4(x3491),a3)),
% 111.74/111.85     inference(rename_variables,[],[19])).
% 111.74/111.85  cnf(350,plain,
% 111.74/111.85     (P2(x3501,a3,x3501)),
% 111.74/111.85     inference(rename_variables,[],[16])).
% 111.74/111.85  cnf(352,plain,
% 111.74/111.85     (P2(a3,f5(f4(a1),f2(a3,a3)),a3)),
% 111.74/111.85     inference(scs_inference,[],[16,310,315,322,334,339,344,39,19,308,313,329,343,349,20,345,21,22,323,336,17,309,314,24,324,77,333,348,286,102,211,198,272,41,37,34,27,28,31,36,32,29,33,30,35])).
% 111.74/111.85  cnf(356,plain,
% 111.74/111.85     (P1(x3561,f4(x3561),a3)),
% 111.74/111.85     inference(rename_variables,[],[19])).
% 111.74/111.85  cnf(358,plain,
% 111.74/111.85     (P1(f2(f5(a1,a3),a1),x3581,x3581)),
% 111.74/111.85     inference(scs_inference,[],[16,310,315,322,334,339,344,39,19,308,313,329,343,349,20,345,21,22,323,336,17,309,314,24,324,77,333,348,295,286,102,211,198,272,41,37,34,27,28,31,36,32,29,33,30,35,26])).
% 111.74/111.85  cnf(360,plain,
% 111.74/111.85     (P1(f4(f5(a3,a3)),a3,a3)),
% 111.74/111.85     inference(scs_inference,[],[16,310,315,322,334,339,344,39,19,308,313,329,343,349,20,345,21,22,323,336,17,309,314,24,324,77,333,348,295,286,102,93,211,198,272,41,37,34,27,28,31,36,32,29,33,30,35,26,9])).
% 111.74/111.85  cnf(361,plain,
% 111.74/111.85     (P1(f4(x3611),x3611,a3)),
% 111.74/111.85     inference(rename_variables,[],[21])).
% 111.74/111.85  cnf(362,plain,
% 111.74/111.85     (~P2(f2(a6,a7),a6,f5(a6,a3))),
% 111.74/111.85     inference(scs_inference,[],[16,310,315,322,334,339,344,39,19,308,313,329,343,349,20,345,21,22,323,336,17,309,314,24,324,38,77,333,348,295,286,102,93,211,198,272,41,127,37,34,27,28,31,36,32,29,33,30,35,26,9,14])).
% 111.74/111.85  cnf(363,plain,
% 111.74/111.85     (E(f5(x3631,a3),x3631)),
% 111.74/111.85     inference(rename_variables,[],[127])).
% 111.74/111.85  cnf(364,plain,
% 111.74/111.85     (~E(f5(a6,a3),f5(a6,f2(a6,a7)))),
% 111.74/111.85     inference(scs_inference,[],[16,310,315,322,334,339,344,39,19,308,313,329,343,349,20,345,21,22,323,336,17,309,314,24,324,38,77,333,348,295,286,102,93,228,211,198,272,41,127,37,34,27,28,31,36,32,29,33,30,35,26,9,14,2])).
% 111.74/111.85  cnf(367,plain,
% 111.74/111.85     (E(f5(a3,x3671),f5(f5(a3,a3),f2(x3671,a1)))),
% 111.74/111.85     inference(scs_inference,[],[16,310,315,322,334,339,344,39,19,308,313,329,343,349,356,20,345,21,22,323,336,17,309,314,24,324,38,77,333,348,267,295,286,90,102,93,228,211,198,272,41,127,37,34,27,28,31,36,32,29,33,30,35,26,9,14,2,10,3])).
% 111.74/111.85  cnf(368,plain,
% 111.74/111.85     (E(f5(x3681,x3682),f5(x3681,f2(x3682,a1)))),
% 111.74/111.85     inference(rename_variables,[],[267])).
% 111.74/111.85  cnf(370,plain,
% 111.74/111.85     (~P2(f2(a6,a7),f5(a6,a3),a6)),
% 111.74/111.85     inference(scs_inference,[],[16,310,315,322,334,339,344,39,19,308,313,329,343,349,356,20,345,21,22,323,336,17,309,314,24,324,38,77,333,348,267,295,286,90,102,93,228,211,198,272,41,127,363,37,34,27,28,31,36,32,29,33,30,35,26,9,14,2,10,3,13])).
% 111.74/111.85  cnf(372,plain,
% 111.74/111.85     (~E(a3,f5(f2(a6,a7),a3))),
% 111.74/111.85     inference(scs_inference,[],[16,310,315,322,334,339,344,39,19,308,313,329,343,349,356,20,345,21,361,22,323,336,17,309,314,24,324,38,77,333,348,267,295,286,342,90,102,93,228,211,198,272,41,127,363,37,34,27,28,31,36,32,29,33,30,35,26,9,14,2,10,3,13,11])).
% 111.74/111.85  cnf(374,plain,
% 111.74/111.85     (P2(f5(x3741,f2(x3742,a1)),a3,f5(x3741,x3742))),
% 111.74/111.85     inference(scs_inference,[],[16,310,315,322,334,339,344,350,39,19,308,313,329,343,349,356,20,345,21,361,22,323,336,17,309,314,24,324,38,77,333,348,267,368,295,286,342,90,102,93,228,211,198,272,41,127,363,37,34,27,28,31,36,32,29,33,30,35,26,9,14,2,10,3,13,11,12])).
% 111.74/111.85  cnf(376,plain,
% 111.74/111.85     (E(f5(f4(a1),x3761),f5(a3,x3761))),
% 111.74/111.85     inference(scs_inference,[],[16,310,315,322,334,339,344,350,39,19,308,313,329,343,349,356,20,345,21,361,22,323,336,17,309,314,24,324,38,77,333,348,267,368,295,286,342,90,102,93,228,211,198,240,272,41,127,363,37,34,27,28,31,36,32,29,33,30,35,26,9,14,2,10,3,13,11,12,7])).
% 111.74/111.85  cnf(377,plain,
% 111.74/111.85     (E(f2(x3771,f4(a1)),f2(x3771,a3))),
% 111.74/111.85     inference(scs_inference,[],[16,310,315,322,334,339,344,350,39,19,308,313,329,343,349,356,20,345,21,361,22,323,336,17,309,314,24,324,38,77,333,348,267,368,295,286,342,90,102,93,228,211,198,240,272,41,127,363,37,34,27,28,31,36,32,29,33,30,35,26,9,14,2,10,3,13,11,12,7,6])).
% 111.74/111.85  cnf(378,plain,
% 111.74/111.85     (E(f2(f4(a1),x3781),f2(a3,x3781))),
% 111.74/111.85     inference(scs_inference,[],[16,310,315,322,334,339,344,350,39,19,308,313,329,343,349,356,20,345,21,361,22,323,336,17,309,314,24,324,38,77,333,348,267,368,295,286,342,90,102,93,228,211,198,240,272,41,127,363,37,34,27,28,31,36,32,29,33,30,35,26,9,14,2,10,3,13,11,12,7,6,5])).
% 111.74/111.85  cnf(379,plain,
% 111.74/111.85     (E(f4(f4(a1)),f4(a3))),
% 111.74/111.85     inference(scs_inference,[],[16,310,315,322,334,339,344,350,39,19,308,313,329,343,349,356,20,345,21,361,22,323,336,17,309,314,24,324,38,77,333,348,267,368,295,286,342,90,102,93,228,211,198,240,272,41,127,363,37,34,27,28,31,36,32,29,33,30,35,26,9,14,2,10,3,13,11,12,7,6,5,4])).
% 111.74/111.85  cnf(380,plain,
% 111.74/111.85     (~P1(a1,a6,f5(a6,f2(a6,a7)))),
% 111.74/111.85     inference(scs_inference,[],[39,17,28])).
% 111.74/111.85  cnf(381,plain,
% 111.74/111.85     (P1(a1,x3811,x3811)),
% 111.74/111.85     inference(rename_variables,[],[17])).
% 111.74/111.85  cnf(383,plain,
% 111.74/111.85     (P2(f2(x3831,a3),f2(x3831,a3),f2(x3831,a3))),
% 111.74/111.85     inference(scs_inference,[],[16,39,23,17,28,36])).
% 111.74/111.85  cnf(385,plain,
% 111.74/111.85     (P1(x3851,x3852,f2(x3851,x3852))),
% 111.74/111.85     inference(rename_variables,[],[23])).
% 111.74/111.85  cnf(386,plain,
% 111.74/111.85     (P2(x3861,a3,x3861)),
% 111.74/111.85     inference(rename_variables,[],[16])).
% 111.74/111.85  cnf(387,plain,
% 111.74/111.85     (P1(x3871,x3872,f2(x3871,x3872))),
% 111.74/111.85     inference(rename_variables,[],[23])).
% 111.74/111.85  cnf(389,plain,
% 111.74/111.85     (P1(x3891,x3891,f5(f2(a3,a3),x3891))),
% 111.74/111.85     inference(scs_inference,[],[16,386,39,23,387,17,128,28,36,31])).
% 111.74/111.85  cnf(391,plain,
% 111.74/111.85     (P1(x3911,x3912,f2(x3911,x3912))),
% 111.74/111.85     inference(rename_variables,[],[23])).
% 111.74/111.85  cnf(393,plain,
% 111.74/111.85     (P2(x3931,f2(a3,a3),f2(x3931,x3931))),
% 111.74/111.85     inference(scs_inference,[],[16,386,39,23,387,391,385,17,128,28,36,31,37])).
% 111.74/111.85  cnf(395,plain,
% 111.74/111.85     (P1(x3951,x3952,f2(x3951,x3952))),
% 111.74/111.85     inference(rename_variables,[],[23])).
% 111.74/111.85  cnf(397,plain,
% 111.74/111.85     (P2(a3,a3,f2(a3,f4(a3)))),
% 111.74/111.85     inference(scs_inference,[],[16,386,39,18,23,387,391,395,385,19,17,128,28,36,31,37,34])).
% 111.74/111.85  cnf(398,plain,
% 111.74/111.85     (P1(x3981,f4(x3981),a3)),
% 111.74/111.85     inference(rename_variables,[],[19])).
% 111.74/111.85  cnf(399,plain,
% 111.74/111.85     (P1(x3991,x3992,f2(x3991,x3992))),
% 111.74/111.85     inference(rename_variables,[],[23])).
% 111.74/111.85  cnf(400,plain,
% 111.74/111.85     (P2(x4001,a3,x4001)),
% 111.74/111.85     inference(rename_variables,[],[16])).
% 111.74/111.85  cnf(401,plain,
% 111.74/111.85     (P2(a3,x4011,x4011)),
% 111.74/111.85     inference(rename_variables,[],[18])).
% 111.74/111.85  cnf(403,plain,
% 111.74/111.85     (P1(f2(a1,a1),f2(a1,a1),f2(a1,a1))),
% 111.74/111.85     inference(scs_inference,[],[16,386,39,18,23,387,391,395,385,19,17,381,59,128,28,36,31,37,34,32])).
% 111.74/111.85  cnf(406,plain,
% 111.74/111.85     (P2(f4(x4061),x4061,f2(f5(a1,a3),a1))),
% 111.74/111.85     inference(scs_inference,[],[16,386,39,18,23,387,391,395,385,19,17,381,292,59,128,28,36,31,37,34,32,27])).
% 111.74/111.85  cnf(408,plain,
% 111.74/111.85     (P2(f2(a3,x4081),f2(a3,a1),f2(a3,x4081))),
% 111.74/111.85     inference(scs_inference,[],[16,386,400,39,18,23,387,391,395,399,385,19,17,381,292,288,59,128,28,36,31,37,34,32,27,35])).
% 111.74/111.85  cnf(409,plain,
% 111.74/111.85     (P2(x4091,a3,x4091)),
% 111.74/111.85     inference(rename_variables,[],[16])).
% 111.74/111.85  cnf(410,plain,
% 111.74/111.85     (P1(x4101,x4102,f2(x4101,x4102))),
% 111.74/111.85     inference(rename_variables,[],[23])).
% 111.74/111.85  cnf(412,plain,
% 111.74/111.85     (~P2(f5(a6,f2(a6,a7)),a3,f5(a6,a3))),
% 111.74/111.85     inference(scs_inference,[],[16,386,400,409,39,18,23,387,391,395,399,385,19,17,381,364,292,288,59,128,28,36,31,37,34,32,27,35,29])).
% 111.74/111.85  cnf(413,plain,
% 111.74/111.85     (P2(x4131,a3,x4131)),
% 111.74/111.85     inference(rename_variables,[],[16])).
% 111.74/111.85  cnf(415,plain,
% 111.74/111.85     (P1(x4151,f4(x4151),f2(x4151,a3))),
% 111.74/111.85     inference(scs_inference,[],[16,386,400,409,413,39,18,401,23,387,391,395,399,410,385,19,398,17,381,364,292,288,59,128,28,36,31,37,34,32,27,35,29,33])).
% 111.74/111.85  cnf(416,plain,
% 111.74/111.85     (P1(x4161,x4162,f2(x4161,x4162))),
% 111.74/111.85     inference(rename_variables,[],[23])).
% 111.74/111.85  cnf(417,plain,
% 111.74/111.85     (P2(a3,x4171,x4171)),
% 111.74/111.85     inference(rename_variables,[],[18])).
% 111.74/111.85  cnf(418,plain,
% 111.74/111.85     (P2(x4181,a3,x4181)),
% 111.74/111.85     inference(rename_variables,[],[16])).
% 111.74/111.85  cnf(420,plain,
% 111.74/111.85     (P1(x4201,f4(x4201),f2(a3,f4(x4201)))),
% 111.74/111.85     inference(scs_inference,[],[16,386,400,409,413,418,39,18,401,417,23,387,391,395,399,410,416,385,19,398,17,381,364,292,288,59,128,28,36,31,37,34,32,27,35,29,33,30])).
% 111.74/111.85  cnf(422,plain,
% 111.74/111.85     (P2(a3,x4221,x4221)),
% 111.74/111.85     inference(rename_variables,[],[18])).
% 111.74/111.85  cnf(423,plain,
% 111.74/111.85     (P2(x4231,a3,x4231)),
% 111.74/111.85     inference(rename_variables,[],[16])).
% 111.74/111.85  cnf(425,plain,
% 111.74/111.85     (~P1(f5(f4(x4251),a3),x4251,f2(a6,a7))),
% 111.74/111.85     inference(scs_inference,[],[16,386,400,409,413,418,39,18,401,417,23,387,391,395,399,410,416,385,19,398,17,381,364,292,224,288,59,128,28,36,31,37,34,32,27,35,29,33,30,26])).
% 111.74/111.85  cnf(428,plain,
% 111.74/111.85     (E(f5(x4281,a3),x4281)),
% 111.74/111.85     inference(rename_variables,[],[127])).
% 111.74/111.85  cnf(429,plain,
% 111.74/111.85     (E(f2(x4291,f5(a3,a3)),f2(x4291,a3))),
% 111.74/111.85     inference(scs_inference,[],[16,386,400,409,413,418,39,18,401,417,23,387,391,395,399,410,416,385,19,398,17,381,364,292,91,165,224,288,59,128,127,28,36,31,37,34,32,27,35,29,33,30,26,9,2])).
% 111.74/111.85  cnf(430,plain,
% 111.74/111.85     (~P1(f4(a1),f5(f4(a1),a3),f2(a6,a7))),
% 111.74/111.85     inference(scs_inference,[],[16,386,400,409,413,418,39,18,401,417,23,387,391,395,399,410,416,385,19,398,17,381,364,292,91,165,224,288,59,128,127,428,28,36,31,37,34,32,27,35,29,33,30,26,9,2,10])).
% 111.74/111.85  cnf(431,plain,
% 111.74/111.85     (E(f5(x4311,a3),x4311)),
% 111.74/111.85     inference(rename_variables,[],[127])).
% 111.74/111.85  cnf(432,plain,
% 111.74/111.85     (E(f2(f5(a3,a3),f4(a1)),f2(a3,a3))),
% 111.74/111.85     inference(scs_inference,[],[16,386,400,409,413,418,39,18,401,417,23,387,391,395,399,410,416,385,19,398,17,381,364,292,294,91,165,377,224,288,59,128,127,428,28,36,31,37,34,32,27,35,29,33,30,26,9,2,10,3])).
% 111.74/111.85  cnf(434,plain,
% 111.74/111.85     (E(f2(f5(a3,a3),x4341),f2(a3,x4341))),
% 111.74/111.85     inference(rename_variables,[],[294])).
% 111.74/111.85  cnf(435,plain,
% 111.74/111.85     (P2(f2(f5(a3,a3),x4351),a3,f2(a3,x4351))),
% 111.74/111.85     inference(scs_inference,[],[16,386,400,409,413,418,423,39,18,401,417,23,387,391,395,399,410,416,385,19,398,17,381,364,292,294,434,91,165,377,224,288,59,128,127,428,28,36,31,37,34,32,27,35,29,33,30,26,9,2,10,3,14])).
% 111.74/111.85  cnf(436,plain,
% 111.74/111.85     (P2(x4361,a3,x4361)),
% 111.74/111.85     inference(rename_variables,[],[16])).
% 111.74/111.85  cnf(437,plain,
% 111.74/111.85     (P2(a3,f2(a3,x4371),f2(f5(a3,a3),x4371))),
% 111.74/111.85     inference(scs_inference,[],[16,386,400,409,413,418,423,39,18,401,417,422,23,387,391,395,399,410,416,385,19,398,17,381,364,292,294,434,91,165,377,224,288,59,128,127,428,28,36,31,37,34,32,27,35,29,33,30,26,9,2,10,3,14,13])).
% 111.74/111.85  cnf(439,plain,
% 111.74/111.85     (~P1(f5(a3,a3),f5(a3,a1),f5(f2(a6,a7),a3))),
% 111.74/111.85     inference(scs_inference,[],[16,386,400,409,413,418,423,39,18,401,417,422,23,387,391,395,399,410,416,385,19,398,17,381,364,292,294,434,91,165,377,224,255,288,59,128,127,428,431,28,36,31,37,34,32,27,35,29,33,30,26,9,2,10,3,14,13,11])).
% 111.74/111.85  cnf(441,plain,
% 111.74/111.85     (~E(f2(a6,a7),f2(f4(a3),f4(a1)))),
% 111.74/111.85     inference(scs_inference,[],[16,386,400,409,413,418,423,436,39,18,401,417,422,23,387,391,395,399,410,416,385,19,398,17,381,364,292,294,434,91,165,377,224,255,288,142,59,128,127,428,431,28,36,31,37,34,32,27,35,29,33,30,26,9,2,10,3,14,13,11,12])).
% 111.74/111.85  cnf(443,plain,
% 111.74/111.85     (E(f5(x4431,a1),f5(x4431,f4(a3)))),
% 111.74/111.85     inference(scs_inference,[],[268,8])).
% 111.74/111.85  cnf(444,plain,
% 111.74/111.85     (~P1(f4(a7),f4(a7),a1)),
% 111.74/111.85     inference(scs_inference,[],[17,20,268,250,8,37])).
% 111.74/111.85  cnf(445,plain,
% 111.74/111.85     (P1(a1,x4451,x4451)),
% 111.74/111.85     inference(rename_variables,[],[17])).
% 111.74/111.85  cnf(447,plain,
% 111.74/111.85     (P2(x4471,f4(x4471),a1)),
% 111.74/111.85     inference(rename_variables,[],[20])).
% 111.74/111.85  cnf(449,plain,
% 111.74/111.85     (P2(a3,f4(a1),a3)),
% 111.74/111.85     inference(scs_inference,[],[17,445,20,447,18,19,268,250,8,37,34])).
% 111.74/111.85  cnf(450,plain,
% 111.74/111.85     (P1(x4501,f4(x4501),a3)),
% 111.74/111.85     inference(rename_variables,[],[19])).
% 111.74/111.85  cnf(451,plain,
% 111.74/111.85     (P2(a3,x4511,x4511)),
% 111.74/111.85     inference(rename_variables,[],[18])).
% 111.74/111.85  cnf(452,plain,
% 111.74/111.85     (P2(x4521,f4(x4521),a1)),
% 111.74/111.85     inference(rename_variables,[],[20])).
% 111.74/111.85  cnf(453,plain,
% 111.74/111.85     (P1(a1,x4531,x4531)),
% 111.74/111.85     inference(rename_variables,[],[17])).
% 111.74/111.85  cnf(455,plain,
% 111.74/111.85     (~P2(a3,f4(a1),f2(a6,a7))),
% 111.74/111.85     inference(scs_inference,[],[17,445,453,20,447,452,18,451,19,268,250,107,8,37,34,32])).
% 111.74/111.85  cnf(456,plain,
% 111.74/111.85     (P2(a3,x4561,x4561)),
% 111.74/111.85     inference(rename_variables,[],[18])).
% 111.74/111.85  cnf(457,plain,
% 111.74/111.85     (P2(x4571,f4(x4571),a1)),
% 111.74/111.85     inference(rename_variables,[],[20])).
% 111.74/111.85  cnf(459,plain,
% 111.74/111.85     (P1(a1,x4591,x4591)),
% 111.74/111.85     inference(rename_variables,[],[17])).
% 111.74/111.85  cnf(463,plain,
% 111.74/111.85     (E(x4631,f2(a1,x4631))),
% 111.74/111.85     inference(scs_inference,[],[17,445,453,459,20,447,452,18,451,19,23,181,268,250,107,8,37,34,32,27,28])).
% 111.74/111.85  cnf(464,plain,
% 111.74/111.85     (P1(x4641,x4642,f2(x4641,x4642))),
% 111.74/111.85     inference(rename_variables,[],[23])).
% 111.74/111.85  cnf(466,plain,
% 111.74/111.85     (P2(a3,f5(f2(a3,a3),f4(a1)),a3)),
% 111.74/111.85     inference(scs_inference,[],[17,445,453,459,20,447,452,457,18,451,19,21,23,389,181,268,250,107,8,37,34,32,27,28,36])).
% 111.74/111.85  cnf(468,plain,
% 111.74/111.85     (P2(x4681,f4(x4681),a1)),
% 111.74/111.85     inference(rename_variables,[],[20])).
% 111.74/111.85  cnf(472,plain,
% 111.74/111.85     (P1(f2(a3,a1),f2(a3,a1),f2(a3,a3))),
% 111.74/111.85     inference(scs_inference,[],[17,445,453,459,20,447,452,457,18,451,456,19,21,23,464,389,181,268,250,49,107,8,37,34,32,27,28,36,31])).
% 111.74/111.85  cnf(473,plain,
% 111.74/111.85     (P1(x4731,x4732,f2(x4731,x4732))),
% 111.74/111.85     inference(rename_variables,[],[23])).
% 111.74/111.85  cnf(474,plain,
% 111.74/111.85     (P2(a3,x4741,x4741)),
% 111.74/111.85     inference(rename_variables,[],[18])).
% 111.74/111.85  cnf(476,plain,
% 111.74/111.85     (P1(f2(a3,a1),f4(a3),f2(a3,a1))),
% 111.74/111.85     inference(scs_inference,[],[17,445,453,459,20,447,452,457,18,451,456,19,450,21,23,464,389,181,268,250,49,107,8,37,34,32,27,28,36,31,30])).
% 111.74/111.85  cnf(479,plain,
% 111.74/111.85     (~P1(f4(a7),a6,a6)),
% 111.74/111.85     inference(scs_inference,[],[17,445,453,459,20,447,452,457,468,18,451,456,19,450,21,23,464,38,389,181,268,250,87,49,107,8,37,34,32,27,28,36,31,30,35])).
% 111.74/111.85  cnf(480,plain,
% 111.74/111.85     (P2(x4801,f4(x4801),a1)),
% 111.74/111.85     inference(rename_variables,[],[20])).
% 111.74/111.85  cnf(481,plain,
% 111.74/111.85     (P1(a1,x4811,x4811)),
% 111.74/111.85     inference(rename_variables,[],[17])).
% 111.74/111.85  cnf(484,plain,
% 111.74/111.85     (P1(a1,a1,f2(a1,f4(a3)))),
% 111.74/111.85     inference(scs_inference,[],[17,445,453,459,481,20,447,452,457,468,480,18,451,456,474,19,450,21,23,464,473,38,389,181,268,250,87,49,107,8,37,34,32,27,28,36,31,30,35,33])).
% 111.74/111.85  cnf(485,plain,
% 111.74/111.85     (P2(a3,x4851,x4851)),
% 111.74/111.85     inference(rename_variables,[],[18])).
% 111.74/111.85  cnf(486,plain,
% 111.74/111.85     (P2(x4861,f4(x4861),a1)),
% 111.74/111.85     inference(rename_variables,[],[20])).
% 111.74/111.85  cnf(487,plain,
% 111.74/111.85     (P1(a1,x4871,x4871)),
% 111.74/111.85     inference(rename_variables,[],[17])).
% 111.74/111.85  cnf(490,plain,
% 111.74/111.85     (E(a1,f5(x4901,f4(x4901)))),
% 111.74/111.85     inference(scs_inference,[],[17,445,453,459,481,20,447,452,457,468,480,486,18,451,456,474,24,19,450,21,23,464,473,38,389,181,268,250,87,49,107,8,37,34,32,27,28,36,31,30,35,33,29])).
% 111.74/111.85  cnf(493,plain,
% 111.74/111.85     (P1(f4(x4931),x4931,f2(x4931,a3))),
% 111.74/111.85     inference(scs_inference,[],[17,445,453,459,481,20,447,452,457,468,480,486,18,451,456,474,24,19,450,21,23,464,473,38,389,415,181,268,250,87,49,107,8,37,34,32,27,28,36,31,30,35,33,29,26])).
% 111.74/111.85  cnf(495,plain,
% 111.74/111.85     (P1(f4(a3),x4951,x4951)),
% 111.74/111.85     inference(scs_inference,[],[17,445,453,459,481,487,20,447,452,457,468,480,486,18,451,456,474,24,19,450,21,23,464,473,38,389,415,181,268,250,87,49,107,8,37,34,32,27,28,36,31,30,35,33,29,26,9])).
% 111.74/111.85  cnf(496,plain,
% 111.74/111.85     (P1(a1,f2(a3,a3),f2(f5(a3,a3),f4(a1)))),
% 111.74/111.85     inference(scs_inference,[],[17,445,453,459,481,487,20,447,452,457,468,480,486,18,451,456,474,24,19,450,21,23,464,473,38,389,432,415,181,268,250,87,49,107,8,37,34,32,27,28,36,31,30,35,33,29,26,9,10])).
% 111.74/111.85  cnf(497,plain,
% 111.74/111.85     (P1(a1,x4971,x4971)),
% 111.74/111.85     inference(rename_variables,[],[17])).
% 111.74/111.85  cnf(498,plain,
% 111.74/111.85     (~E(f2(a3,a1),f2(a6,a7))),
% 111.74/111.85     inference(scs_inference,[],[17,445,453,459,481,487,20,447,452,457,468,480,486,18,451,456,474,24,19,450,21,23,464,473,38,389,432,415,181,290,268,250,87,49,294,107,8,37,34,32,27,28,36,31,30,35,33,29,26,9,10,3])).
% 111.74/111.85  cnf(500,plain,
% 111.74/111.85     (P2(x5001,f4(x5001),f4(a3))),
% 111.74/111.85     inference(scs_inference,[],[17,445,453,459,481,487,20,447,452,457,468,480,486,18,451,456,474,24,19,450,21,23,464,473,38,389,432,415,181,290,268,250,87,49,294,107,8,37,34,32,27,28,36,31,30,35,33,29,26,9,10,3,14])).
% 111.74/111.85  cnf(501,plain,
% 111.74/111.85     (~E(f2(f4(a3),f4(a1)),f2(a6,a7))),
% 111.74/111.85     inference(scs_inference,[],[17,445,453,459,481,487,20,447,452,457,468,480,486,18,451,456,474,24,19,450,21,23,464,473,38,389,432,415,441,181,290,268,250,87,49,294,107,8,37,34,32,27,28,36,31,30,35,33,29,26,9,10,3,14,2])).
% 111.74/111.85  cnf(504,plain,
% 111.74/111.85     (P1(a1,f2(f5(a3,a3),f4(a1)),f2(a3,a3))),
% 111.74/111.85     inference(scs_inference,[],[17,445,453,459,481,487,497,20,447,452,457,468,480,486,18,451,456,474,485,24,19,450,21,23,464,473,38,389,432,415,441,181,290,244,268,250,87,49,294,107,8,37,34,32,27,28,36,31,30,35,33,29,26,9,10,3,14,2,13,11])).
% 111.74/111.85  cnf(506,plain,
% 111.74/111.85     (~P2(f5(f4(a1),a3),f5(a3,a3),f2(a6,a7))),
% 111.74/111.85     inference(scs_inference,[],[17,445,453,459,481,487,497,20,447,452,457,468,480,486,18,451,456,474,485,24,19,450,21,23,464,473,38,389,432,415,154,376,441,181,290,244,268,250,87,49,294,107,8,37,34,32,27,28,36,31,30,35,33,29,26,9,10,3,14,2,13,11,12])).
% 111.74/111.85  cnf(508,plain,
% 111.74/111.85     (P2(f2(a3,a3),x5081,f2(x5081,x5081))),
% 111.74/111.85     inference(scs_inference,[],[393,27])).
% 111.74/111.85  cnf(510,plain,
% 111.74/111.85     (~P1(a6,a7,a3)),
% 111.74/111.85     inference(scs_inference,[],[23,393,239,27,28])).
% 111.74/111.85  cnf(511,plain,
% 111.74/111.85     (P1(x5111,x5112,f2(x5111,x5112))),
% 111.74/111.85     inference(rename_variables,[],[23])).
% 111.74/111.85  cnf(513,plain,
% 111.74/111.85     (~P1(a1,f2(a6,a3),f2(a6,a7))),
% 111.74/111.85     inference(scs_inference,[],[17,23,38,393,239,265,27,28,36])).
% 111.74/111.85  cnf(514,plain,
% 111.74/111.85     (P2(f2(x5141,a3),x5141,x5141)),
% 111.74/111.85     inference(rename_variables,[],[265])).
% 111.74/111.85  cnf(515,plain,
% 111.74/111.85     (P1(a1,x5151,x5151)),
% 111.74/111.85     inference(rename_variables,[],[17])).
% 111.74/111.85  cnf(519,plain,
% 111.74/111.85     (P2(f4(x5191),x5191,a1)),
% 111.74/111.85     inference(rename_variables,[],[22])).
% 111.74/111.85  cnf(520,plain,
% 111.74/111.85     (P1(a1,x5201,x5201)),
% 111.74/111.85     inference(rename_variables,[],[17])).
% 111.74/111.85  cnf(522,plain,
% 111.74/111.85     (~P1(f4(a6),f2(a6,a3),f2(a6,a7))),
% 111.74/111.85     inference(scs_inference,[],[17,515,520,22,519,24,23,38,393,239,265,514,205,27,28,36,37,34])).
% 111.74/111.85  cnf(524,plain,
% 111.74/111.85     (P2(f4(x5241),x5241,a1)),
% 111.74/111.85     inference(rename_variables,[],[22])).
% 111.74/111.85  cnf(525,plain,
% 111.74/111.85     (P1(a1,x5251,x5251)),
% 111.74/111.85     inference(rename_variables,[],[17])).
% 111.74/111.85  cnf(527,plain,
% 111.74/111.85     (~P2(a3,f2(a1,a6),f5(a6,f2(a6,a7)))),
% 111.74/111.85     inference(scs_inference,[],[17,515,520,525,22,519,18,24,23,511,38,393,239,265,514,205,380,27,28,36,37,34,33])).
% 111.74/111.85  cnf(528,plain,
% 111.74/111.85     (P2(a3,x5281,x5281)),
% 111.74/111.85     inference(rename_variables,[],[18])).
% 111.74/111.85  cnf(529,plain,
% 111.74/111.85     (P1(a1,x5291,x5291)),
% 111.74/111.85     inference(rename_variables,[],[17])).
% 111.74/111.85  cnf(530,plain,
% 111.74/111.85     (P1(x5301,x5302,f2(x5301,x5302))),
% 111.74/111.85     inference(rename_variables,[],[23])).
% 111.74/111.85  cnf(532,plain,
% 111.74/111.85     (~P1(f4(a7),a6,f5(a6,a3))),
% 111.74/111.85     inference(scs_inference,[],[17,515,520,525,529,22,519,524,18,24,23,511,38,393,239,265,514,238,205,380,87,27,28,36,37,34,33,35])).
% 111.74/111.85  cnf(533,plain,
% 111.74/111.85     (P1(a1,x5331,x5331)),
% 111.74/111.85     inference(rename_variables,[],[17])).
% 111.74/111.85  cnf(535,plain,
% 111.74/111.85     (P2(f4(x5351),x5351,a1)),
% 111.74/111.85     inference(rename_variables,[],[22])).
% 111.74/111.85  cnf(538,plain,
% 111.74/111.85     (P2(f4(x5381),x5381,a1)),
% 111.74/111.85     inference(rename_variables,[],[22])).
% 111.74/111.85  cnf(545,plain,
% 111.74/111.85     (~P1(f5(a3,a1),f5(a3,a3),f5(f2(a6,a7),a3))),
% 111.74/111.85     inference(scs_inference,[],[17,515,520,525,529,22,519,524,535,538,18,24,21,23,511,530,38,393,239,406,265,514,439,238,205,380,87,27,28,36,37,34,33,35,30,29,26])).
% 111.74/111.85  cnf(547,plain,
% 111.74/111.85     (~E(f4(a6),a7)),
% 111.74/111.85     inference(scs_inference,[],[17,515,520,525,529,22,519,524,535,538,18,24,19,21,23,511,530,38,393,239,406,265,514,439,238,205,380,87,27,28,36,37,34,33,35,30,29,26,10])).
% 111.74/111.85  cnf(549,plain,
% 111.74/111.85     (~E(a1,f4(f2(a6,a7)))),
% 111.74/111.85     inference(scs_inference,[],[17,515,520,525,529,533,22,519,524,535,538,18,24,19,21,23,511,530,38,393,239,406,265,514,439,319,238,205,380,87,27,28,36,37,34,33,35,30,29,26,10,9])).
% 111.74/111.85  cnf(550,plain,
% 111.74/111.85     (P1(a1,x5501,x5501)),
% 111.74/111.85     inference(rename_variables,[],[17])).
% 111.74/111.85  cnf(552,plain,
% 111.74/111.85     (~P2(f5(a6,a3),f2(a6,a7),f5(a6,a3))),
% 111.74/111.85     inference(scs_inference,[],[17,515,520,525,529,533,22,519,524,535,538,18,24,19,21,23,511,530,38,393,239,406,265,514,439,319,238,205,380,87,127,27,28,36,37,34,33,35,30,29,26,10,9,14])).
% 111.74/111.85  cnf(553,plain,
% 111.74/111.85     (E(f5(x5531,a3),x5531)),
% 111.74/111.85     inference(rename_variables,[],[127])).
% 111.74/111.85  cnf(554,plain,
% 111.74/111.85     (E(f5(a3,a3),f2(a1,a3))),
% 111.74/111.85     inference(scs_inference,[],[17,515,520,525,529,533,22,519,524,535,538,18,24,19,21,23,511,530,38,393,239,406,265,514,439,463,429,319,238,205,380,87,127,27,28,36,37,34,33,35,30,29,26,10,9,14,3])).
% 111.74/111.85  cnf(555,plain,
% 111.74/111.85     (E(x5551,f2(a1,x5551))),
% 111.74/111.85     inference(rename_variables,[],[463])).
% 111.74/111.85  cnf(557,plain,
% 111.74/111.85     (E(f2(a1,x5571),x5571)),
% 111.74/111.85     inference(scs_inference,[],[17,515,520,525,529,533,22,519,524,535,538,18,24,19,21,23,511,530,38,393,239,406,265,514,439,463,555,429,319,238,205,380,87,127,27,28,36,37,34,33,35,30,29,26,10,9,14,3,2])).
% 111.74/111.85  cnf(558,plain,
% 111.74/111.85     (P2(f2(a1,f4(x5581)),x5581,a1)),
% 111.74/111.85     inference(scs_inference,[],[17,515,520,525,529,533,22,519,524,535,538,18,24,19,21,23,511,530,38,393,239,406,265,514,439,463,555,429,319,238,205,380,87,127,27,28,36,37,34,33,35,30,29,26,10,9,14,3,2,12])).
% 111.74/111.85  cnf(562,plain,
% 111.74/111.85     (~E(f5(a3,a3),f5(f2(a6,a7),a3))),
% 111.74/111.85     inference(scs_inference,[],[17,515,520,525,529,533,22,519,524,535,538,18,24,19,21,23,511,530,38,393,217,239,406,265,514,439,463,555,429,319,238,205,380,87,234,127,553,27,28,36,37,34,33,35,30,29,26,10,9,14,3,2,12,13,11])).
% 111.74/111.85  cnf(565,plain,
% 111.74/111.85     (P1(a1,x5651,x5651)),
% 111.74/111.85     inference(rename_variables,[],[17])).
% 111.74/111.85  cnf(566,plain,
% 111.74/111.85     (P2(a3,x5661,x5661)),
% 111.74/111.85     inference(rename_variables,[],[18])).
% 111.74/111.85  cnf(568,plain,
% 111.74/111.85     (~P2(a3,a1,f4(a7))),
% 111.74/111.85     inference(scs_inference,[],[17,515,520,525,529,533,550,565,22,519,524,535,538,18,528,566,24,19,21,23,511,530,38,393,217,239,341,406,265,514,439,463,555,429,319,238,205,380,479,87,234,127,553,27,28,36,37,34,33,35,30,29,26,10,9,14,3,2,12,13,11,32,31])).
% 111.74/111.85  cnf(572,plain,
% 111.74/111.85     (~P2(f4(a1),f4(a1),f2(a6,a7))),
% 111.74/111.85     inference(scs_inference,[],[22,19,312,17,37])).
% 111.74/111.85  cnf(573,plain,
% 111.74/111.85     (P2(f4(x5731),x5731,a1)),
% 111.74/111.85     inference(rename_variables,[],[22])).
% 111.74/111.85  cnf(575,plain,
% 111.74/111.85     (P1(x5751,f4(x5751),a3)),
% 111.74/111.85     inference(rename_variables,[],[19])).
% 111.74/111.85  cnf(577,plain,
% 111.74/111.85     (~P1(a3,f4(a6),f2(a6,a7))),
% 111.74/111.85     inference(scs_inference,[],[18,22,19,38,312,295,406,17,37,34])).
% 111.74/111.85  cnf(578,plain,
% 111.74/111.85     (P2(a3,x5781,x5781)),
% 111.74/111.85     inference(rename_variables,[],[18])).
% 111.74/111.85  cnf(582,plain,
% 111.74/111.85     (P1(a1,a3,f5(f2(a3,a3),a3))),
% 111.74/111.85     inference(scs_inference,[],[18,578,22,573,24,19,38,493,312,295,406,17,37,34,32])).
% 111.74/111.85  cnf(584,plain,
% 111.74/111.85     (P2(f4(x5841),x5841,a1)),
% 111.74/111.85     inference(rename_variables,[],[22])).
% 111.74/111.85  cnf(585,plain,
% 111.74/111.85     (P2(x5851,x5852,f5(x5851,x5852))),
% 111.74/111.85     inference(rename_variables,[],[24])).
% 111.74/111.85  cnf(586,plain,
% 111.74/111.85     (P2(a3,x5861,x5861)),
% 111.74/111.85     inference(rename_variables,[],[18])).
% 111.74/111.85  cnf(590,plain,
% 111.74/111.85     (~P1(f2(f5(a1,a3),a1),a3,f2(a6,a7))),
% 111.74/111.85     inference(scs_inference,[],[18,578,586,22,573,24,19,38,358,506,493,312,295,406,17,37,34,32,27,36])).
% 111.74/111.85  cnf(592,plain,
% 111.74/111.85     (P1(f2(f5(a1,a3),a1),x5921,x5921)),
% 111.74/111.85     inference(rename_variables,[],[358])).
% 111.74/111.85  cnf(593,plain,
% 111.74/111.85     (P2(a3,x5931,x5931)),
% 111.74/111.85     inference(rename_variables,[],[18])).
% 111.74/111.85  cnf(595,plain,
% 111.74/111.85     (~P1(f2(f5(a1,a3),a1),a1,f4(a7))),
% 111.74/111.85     inference(scs_inference,[],[18,578,586,22,573,24,19,38,358,592,506,493,297,312,295,406,17,37,34,32,27,36,28])).
% 111.74/111.85  cnf(598,plain,
% 111.74/111.85     (~P2(f2(a1,a3),a3,f2(a6,a7))),
% 111.74/111.85     inference(scs_inference,[],[18,578,586,22,573,24,19,575,23,38,191,358,592,506,493,297,312,449,295,406,17,37,34,32,27,36,28,33])).
% 111.74/111.85  cnf(600,plain,
% 111.74/111.85     (P1(x6001,f4(x6001),a3)),
% 111.74/111.85     inference(rename_variables,[],[19])).
% 111.74/111.85  cnf(602,plain,
% 111.74/111.85     (P1(f4(f4(a3)),a1,f5(a3,a3))),
% 111.74/111.85     inference(scs_inference,[],[18,578,586,593,22,573,20,24,585,19,575,21,23,38,191,358,592,506,493,297,312,449,295,406,17,37,34,32,27,36,28,33,31])).
% 111.74/111.85  cnf(603,plain,
% 111.74/111.85     (P1(f4(x6031),x6031,a3)),
% 111.74/111.85     inference(rename_variables,[],[21])).
% 111.74/111.85  cnf(604,plain,
% 111.74/111.85     (P2(a3,x6041,x6041)),
% 111.74/111.85     inference(rename_variables,[],[18])).
% 111.74/111.85  cnf(608,plain,
% 111.74/111.85     (P2(a3,a3,f2(a3,a3))),
% 111.74/111.85     inference(scs_inference,[],[18,578,586,593,604,22,573,20,24,585,19,575,600,21,23,38,191,358,592,506,493,297,312,449,295,406,415,17,37,34,32,27,36,28,33,31,35])).
% 111.74/111.85  cnf(612,plain,
% 111.74/111.85     (P2(a3,x6121,x6121)),
% 111.74/111.85     inference(rename_variables,[],[18])).
% 111.74/111.85  cnf(614,plain,
% 111.74/111.85     (~P2(f4(a7),f4(a7),a6)),
% 111.74/111.85     inference(scs_inference,[],[18,578,586,593,604,612,22,573,20,24,585,19,575,600,21,603,23,38,191,358,592,506,493,297,312,449,510,295,406,415,17,37,34,32,27,36,28,33,31,35,30])).
% 111.74/111.85  cnf(617,plain,
% 111.74/111.85     (P2(a3,x6171,x6171)),
% 111.74/111.85     inference(rename_variables,[],[18])).
% 111.74/111.85  cnf(619,plain,
% 111.74/111.85     (~P2(a3,f2(a6,a7),a3)),
% 111.74/111.85     inference(scs_inference,[],[18,578,586,593,604,612,617,41,22,573,20,24,585,19,575,600,21,603,23,38,191,358,592,506,493,297,312,449,510,295,406,415,17,37,34,32,27,36,28,33,31,35,30,29])).
% 111.74/111.85  cnf(620,plain,
% 111.74/111.85     (P2(a3,x6201,x6201)),
% 111.74/111.85     inference(rename_variables,[],[18])).
% 111.74/111.85  cnf(622,plain,
% 111.74/111.85     (P1(f4(x6221),x6221,f2(a3,f4(x6221)))),
% 111.74/111.85     inference(scs_inference,[],[18,578,586,593,604,612,617,41,22,573,20,24,585,19,575,600,21,603,23,38,191,358,592,506,420,493,297,312,449,510,295,406,415,17,37,34,32,27,36,28,33,31,35,30,29,26])).
% 111.74/111.85  cnf(624,plain,
% 111.74/111.85     (~P1(a1,f2(a1,a3),f2(a6,a7))),
% 111.74/111.86     inference(scs_inference,[],[18,578,586,593,604,612,617,41,22,573,20,24,585,19,575,600,21,603,23,38,191,358,592,506,420,493,557,297,312,449,510,295,406,415,17,37,34,32,27,36,28,33,31,35,30,29,26,10])).
% 111.74/111.86  cnf(625,plain,
% 111.74/111.86     (E(f2(a1,x6251),x6251)),
% 111.74/111.86     inference(rename_variables,[],[557])).
% 111.74/111.86  cnf(626,plain,
% 111.74/111.86     (P2(a3,f2(a1,x6261),x6261)),
% 111.74/111.86     inference(scs_inference,[],[18,578,586,593,604,612,617,620,41,22,573,20,24,585,19,575,600,21,603,23,38,191,358,592,506,420,493,557,625,297,312,449,510,295,406,415,17,37,34,32,27,36,28,33,31,35,30,29,26,10,14])).
% 111.74/111.86  cnf(627,plain,
% 111.74/111.86     (P2(a3,x6271,x6271)),
% 111.74/111.86     inference(rename_variables,[],[18])).
% 111.74/111.86  cnf(628,plain,
% 111.74/111.86     (~P1(f2(a1,a1),a3,f2(a6,a7))),
% 111.74/111.86     inference(scs_inference,[],[18,578,586,593,604,612,617,620,41,22,573,20,24,585,19,575,600,21,603,23,38,191,358,592,506,420,493,557,625,297,312,449,510,295,406,415,17,37,34,32,27,36,28,33,31,35,30,29,26,10,14,9])).
% 111.74/111.86  cnf(629,plain,
% 111.74/111.86     (E(f2(a1,x6291),x6291)),
% 111.74/111.86     inference(rename_variables,[],[557])).
% 111.74/111.86  cnf(630,plain,
% 111.74/111.86     (~E(a3,f2(a1,f2(a6,a7)))),
% 111.74/111.86     inference(scs_inference,[],[18,578,586,593,604,612,617,620,41,22,573,20,24,585,19,575,600,21,603,23,38,191,358,592,506,420,493,557,625,629,297,312,449,510,295,406,415,17,37,34,32,27,36,28,33,31,35,30,29,26,10,14,9,3])).
% 111.74/111.86  cnf(631,plain,
% 111.74/111.86     (E(f2(a1,x6311),x6311)),
% 111.74/111.86     inference(rename_variables,[],[557])).
% 111.74/111.86  cnf(633,plain,
% 111.74/111.86     (~E(f4(a1),a7)),
% 111.74/111.86     inference(scs_inference,[],[18,578,586,593,604,612,617,620,41,22,573,584,20,24,585,19,575,600,21,603,23,38,562,191,358,592,506,420,493,557,625,629,297,312,449,510,295,406,415,250,17,37,34,32,27,36,28,33,31,35,30,29,26,10,14,9,3,2,12])).
% 111.74/111.86  cnf(635,plain,
% 111.74/111.86     (P2(a3,f5(x6351,a3),x6351)),
% 111.74/111.86     inference(scs_inference,[],[18,578,586,593,604,612,617,620,627,43,41,22,573,584,20,24,585,19,575,600,21,603,23,38,562,191,358,592,506,420,493,557,625,629,297,312,449,510,295,406,415,250,17,37,34,32,27,36,28,33,31,35,30,29,26,10,14,9,3,2,12,13])).
% 111.74/111.86  cnf(636,plain,
% 111.74/111.86     (E(x6361,f5(x6361,a3))),
% 111.74/111.86     inference(rename_variables,[],[43])).
% 111.74/111.86  cnf(637,plain,
% 111.74/111.86     (~P1(a1,a3,f2(a1,f2(a6,a7)))),
% 111.74/111.86     inference(scs_inference,[],[18,578,586,593,604,612,617,620,627,43,41,22,573,584,20,24,585,19,575,600,21,603,23,38,562,191,358,592,506,420,493,557,625,629,631,297,312,449,510,295,406,415,250,17,37,34,32,27,36,28,33,31,35,30,29,26,10,14,9,3,2,12,13,11])).
% 111.74/111.86  cnf(638,plain,
% 111.74/111.86     (E(f2(a1,x6381),x6381)),
% 111.74/111.86     inference(rename_variables,[],[557])).
% 111.74/111.86  cnf(639,plain,
% 111.74/111.86     (~P2(f2(a1,a6),f2(a6,a7),a6)),
% 111.74/111.86     inference(scs_inference,[],[18,578,586,593,604,612,617,620,627,43,41,22,573,584,20,24,585,19,575,600,21,603,23,38,562,191,358,592,506,420,493,557,625,629,631,638,297,312,449,510,295,406,415,250,17,37,34,32,27,36,28,33,31,35,30,29,26,10,14,9,3,2,12,13,11,94])).
% 111.74/111.86  cnf(641,plain,
% 111.74/111.86     (E(f5(x6411,x6412),f5(f5(x6411,a3),x6412))),
% 111.74/111.86     inference(scs_inference,[],[18,578,586,593,604,612,617,620,627,43,636,41,22,573,584,20,24,585,19,575,600,21,603,23,38,562,191,358,592,506,420,493,557,625,629,631,638,297,312,449,510,295,406,415,250,17,37,34,32,27,36,28,33,31,35,30,29,26,10,14,9,3,2,12,13,11,94,7])).
% 111.74/111.86  cnf(642,plain,
% 111.74/111.86     (E(f2(x6421,x6422),f2(x6421,f5(x6422,a3)))),
% 111.74/111.86     inference(scs_inference,[],[18,578,586,593,604,612,617,620,627,43,636,41,22,573,584,20,24,585,19,575,600,21,603,23,38,562,191,358,592,506,420,493,557,625,629,631,638,297,312,449,510,295,406,415,250,17,37,34,32,27,36,28,33,31,35,30,29,26,10,14,9,3,2,12,13,11,94,7,6])).
% 111.74/111.86  cnf(643,plain,
% 111.74/111.86     (E(f2(x6431,x6432),f2(f5(x6431,a3),x6432))),
% 111.74/111.86     inference(scs_inference,[],[18,578,586,593,604,612,617,620,627,43,636,41,22,573,584,20,24,585,19,575,600,21,603,23,38,562,191,358,592,506,420,493,557,625,629,631,638,297,312,449,510,295,406,415,250,17,37,34,32,27,36,28,33,31,35,30,29,26,10,14,9,3,2,12,13,11,94,7,6,5])).
% 111.74/111.86  cnf(644,plain,
% 111.74/111.86     (E(f4(x6441),f4(f5(x6441,a3)))),
% 111.74/111.86     inference(scs_inference,[],[18,578,586,593,604,612,617,620,627,43,636,41,22,573,584,20,24,585,19,575,600,21,603,23,38,562,191,358,592,506,420,493,557,625,629,631,638,297,312,449,510,295,406,415,250,17,37,34,32,27,36,28,33,31,35,30,29,26,10,14,9,3,2,12,13,11,94,7,6,5,4])).
% 111.74/111.86  cnf(645,plain,
% 111.74/111.86     (P2(f2(a3,a1),f2(a3,x6451),f2(a3,x6451))),
% 111.74/111.86     inference(scs_inference,[],[408,27])).
% 111.74/111.86  cnf(648,plain,
% 111.74/111.86     (P1(x6481,f4(x6481),a3)),
% 111.74/111.86     inference(rename_variables,[],[19])).
% 111.74/111.86  cnf(649,plain,
% 111.74/111.86     (P1(x6491,x6492,f2(x6491,x6492))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(650,plain,
% 111.74/111.86     (P2(a3,x6501,x6501)),
% 111.74/111.86     inference(rename_variables,[],[18])).
% 111.74/111.86  cnf(652,plain,
% 111.74/111.86     (E(a3,f2(x6521,f4(x6521)))),
% 111.74/111.86     inference(scs_inference,[],[18,19,648,23,649,408,619,27,37,28])).
% 111.74/111.86  cnf(653,plain,
% 111.74/111.86     (P1(x6531,x6532,f2(x6531,x6532))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(655,plain,
% 111.74/111.86     (~P2(f4(f5(a6,a3)),a3,a7)),
% 111.74/111.86     inference(scs_inference,[],[18,19,648,23,649,653,408,230,619,272,27,37,28,34])).
% 111.74/111.86  cnf(656,plain,
% 111.74/111.86     (P1(x6561,x6562,f2(x6561,x6562))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(657,plain,
% 111.74/111.86     (P1(x6571,f4(x6571),a3)),
% 111.74/111.86     inference(rename_variables,[],[19])).
% 111.74/111.86  cnf(658,plain,
% 111.74/111.86     (P2(f5(x6581,a3),a3,x6581)),
% 111.74/111.86     inference(rename_variables,[],[230])).
% 111.74/111.86  cnf(660,plain,
% 111.74/111.86     (P1(f5(f4(a3),x6601),x6601,x6601)),
% 111.74/111.86     inference(scs_inference,[],[18,650,24,19,648,21,23,649,653,408,230,619,272,27,37,28,34,32])).
% 111.74/111.86  cnf(661,plain,
% 111.74/111.86     (P2(x6611,x6612,f5(x6611,x6612))),
% 111.74/111.86     inference(rename_variables,[],[24])).
% 111.74/111.86  cnf(662,plain,
% 111.74/111.86     (P1(f4(x6621),x6621,a3)),
% 111.74/111.86     inference(rename_variables,[],[21])).
% 111.74/111.86  cnf(664,plain,
% 111.74/111.86     (~P2(f5(f2(a6,a7),a3),f4(a1),f2(a6,a3))),
% 111.74/111.86     inference(scs_inference,[],[18,650,24,19,648,657,21,23,649,653,408,230,658,513,619,272,17,27,37,28,34,32,33])).
% 111.74/111.86  cnf(665,plain,
% 111.74/111.86     (P1(x6651,f4(x6651),a3)),
% 111.74/111.86     inference(rename_variables,[],[19])).
% 111.74/111.86  cnf(669,plain,
% 111.74/111.86     (P1(f5(a3,f4(a3)),a3,a3)),
% 111.74/111.86     inference(scs_inference,[],[18,650,24,661,19,648,657,21,662,23,649,653,408,230,658,513,619,272,17,27,37,28,34,32,33,31])).
% 111.74/111.86  cnf(670,plain,
% 111.74/111.86     (P2(x6701,x6702,f5(x6701,x6702))),
% 111.74/111.86     inference(rename_variables,[],[24])).
% 111.74/111.86  cnf(672,plain,
% 111.74/111.86     (P2(a3,x6721,x6721)),
% 111.74/111.86     inference(rename_variables,[],[18])).
% 111.74/111.86  cnf(675,plain,
% 111.74/111.86     (P2(a3,f2(a3,f4(a3)),a3)),
% 111.74/111.86     inference(scs_inference,[],[18,650,672,24,661,19,648,657,665,21,662,23,649,653,656,408,230,658,513,619,272,17,27,37,28,34,32,33,31,35])).
% 111.74/111.86  cnf(678,plain,
% 111.74/111.86     (P2(a3,x6781,x6781)),
% 111.74/111.86     inference(rename_variables,[],[18])).
% 111.74/111.86  cnf(679,plain,
% 111.74/111.86     (P1(x6791,f4(x6791),a3)),
% 111.74/111.86     inference(rename_variables,[],[19])).
% 111.74/111.86  cnf(681,plain,
% 111.74/111.86     (E(f4(a3),a1)),
% 111.74/111.86     inference(scs_inference,[],[18,650,672,678,20,24,661,19,648,657,665,21,662,23,649,653,656,408,230,658,513,619,272,17,27,37,28,34,32,33,31,35,29])).
% 111.74/111.86  cnf(683,plain,
% 111.74/111.86     (P2(a3,x6831,x6831)),
% 111.74/111.86     inference(rename_variables,[],[18])).
% 111.74/111.86  cnf(685,plain,
% 111.74/111.86     (P1(f2(a3,a1),f2(a3,a1),f5(f2(a3,a3),f2(a3,a3)))),
% 111.74/111.86     inference(scs_inference,[],[18,650,672,678,20,24,661,670,19,648,657,665,21,662,23,649,653,656,472,408,230,658,513,619,272,17,27,37,28,34,32,33,31,35,29,30])).
% 111.74/111.86  cnf(689,plain,
% 111.74/111.86     (~P1(a6,f4(a1),f2(a6,a7))),
% 111.74/111.86     inference(scs_inference,[],[18,650,672,678,20,24,661,670,19,648,657,665,21,662,23,649,653,656,472,408,147,230,658,513,619,272,17,27,37,28,34,32,33,31,35,29,30,26])).
% 111.74/111.86  cnf(691,plain,
% 111.74/111.86     (P1(x6911,f4(f5(x6911,a3)),a3)),
% 111.74/111.86     inference(scs_inference,[],[18,650,672,678,20,24,661,670,19,648,657,665,679,21,662,23,649,653,656,472,644,408,147,230,658,513,619,272,17,27,37,28,34,32,33,31,35,29,30,26,10])).
% 111.74/111.86  cnf(693,plain,
% 111.74/111.86     (P1(f5(x6931,a3),f4(x6931),a3)),
% 111.74/111.86     inference(scs_inference,[],[18,650,672,678,43,20,24,661,670,19,648,657,665,679,21,662,23,649,653,656,472,644,408,147,230,658,513,619,272,17,27,37,28,34,32,33,31,35,29,30,26,10,9])).
% 111.74/111.86  cnf(694,plain,
% 111.74/111.86     (E(x6941,f5(x6941,a3))),
% 111.74/111.86     inference(rename_variables,[],[43])).
% 111.74/111.86  cnf(697,plain,
% 111.74/111.86     (~E(f4(a1),f2(a6,a7))),
% 111.74/111.86     inference(scs_inference,[],[18,650,672,678,683,43,694,20,24,661,670,19,648,657,665,679,21,662,23,649,653,656,472,644,408,147,455,498,230,658,513,619,272,17,27,37,28,34,32,33,31,35,29,30,26,10,9,3,14])).
% 111.74/111.86  cnf(698,plain,
% 111.74/111.86     (P2(a3,x6981,x6981)),
% 111.74/111.86     inference(rename_variables,[],[18])).
% 111.74/111.86  cnf(699,plain,
% 111.74/111.86     (E(f5(f5(x6991,a3),x6992),f5(x6991,x6992))),
% 111.74/111.86     inference(scs_inference,[],[18,650,672,678,683,43,694,20,24,661,670,19,648,657,665,679,21,662,23,649,653,656,472,641,644,408,147,455,498,230,658,513,619,272,17,27,37,28,34,32,33,31,35,29,30,26,10,9,3,14,2])).
% 111.74/111.86  cnf(702,plain,
% 111.74/111.86     (~E(f2(a6,a7),f4(a1))),
% 111.74/111.86     inference(scs_inference,[],[18,650,672,678,683,698,43,694,20,24,661,670,19,648,657,665,679,21,662,23,649,653,656,38,472,641,644,408,147,455,498,230,658,513,619,272,557,17,27,37,28,34,32,33,31,35,29,30,26,10,9,3,14,2,12,13])).
% 111.74/111.86  cnf(704,plain,
% 111.74/111.86     (P1(f4(a3),f5(x7041,x7042),f5(f5(x7041,a3),x7042))),
% 111.74/111.86     inference(scs_inference,[],[18,650,672,678,683,698,43,694,20,24,661,670,19,648,657,665,679,21,662,23,649,653,656,38,472,641,644,408,495,147,455,498,230,658,513,619,272,557,17,27,37,28,34,32,33,31,35,29,30,26,10,9,3,14,2,12,13,11])).
% 111.74/111.86  cnf(708,plain,
% 111.74/111.86     (~P2(f2(a6,a7),f2(a6,a7),f4(a1))),
% 111.74/111.86     inference(scs_inference,[],[19,22,21,619,34])).
% 111.74/111.86  cnf(709,plain,
% 111.74/111.86     (P1(f4(x7091),x7091,a3)),
% 111.74/111.86     inference(rename_variables,[],[21])).
% 111.74/111.86  cnf(710,plain,
% 111.74/111.86     (P1(x7101,f4(x7101),a3)),
% 111.74/111.86     inference(rename_variables,[],[19])).
% 111.74/111.86  cnf(711,plain,
% 111.74/111.86     (P2(f4(x7111),x7111,a1)),
% 111.74/111.86     inference(rename_variables,[],[22])).
% 111.74/111.86  cnf(713,plain,
% 111.74/111.86     (P1(f5(f4(a3),f4(a3)),a1,a1)),
% 111.74/111.86     inference(scs_inference,[],[19,710,22,711,20,24,21,619,34,32])).
% 111.74/111.86  cnf(714,plain,
% 111.74/111.86     (P2(x7141,f4(x7141),a1)),
% 111.74/111.86     inference(rename_variables,[],[20])).
% 111.74/111.86  cnf(715,plain,
% 111.74/111.86     (P2(f4(x7151),x7151,a1)),
% 111.74/111.86     inference(rename_variables,[],[22])).
% 111.74/111.86  cnf(716,plain,
% 111.74/111.86     (P1(x7161,f4(x7161),a3)),
% 111.74/111.86     inference(rename_variables,[],[19])).
% 111.74/111.86  cnf(717,plain,
% 111.74/111.86     (P2(x7171,x7172,f5(x7171,x7172))),
% 111.74/111.86     inference(rename_variables,[],[24])).
% 111.74/111.86  cnf(719,plain,
% 111.74/111.86     (~P2(f2(a6,a7),f5(a6,a3),f5(a6,a3))),
% 111.74/111.86     inference(scs_inference,[],[19,710,22,711,20,24,21,552,619,34,32,27])).
% 111.74/111.86  cnf(722,plain,
% 111.74/111.86     (P2(f4(x7221),x7221,a1)),
% 111.74/111.86     inference(rename_variables,[],[22])).
% 111.74/111.86  cnf(723,plain,
% 111.74/111.86     (P2(x7231,x7232,f5(x7231,x7232))),
% 111.74/111.86     inference(rename_variables,[],[24])).
% 111.74/111.86  cnf(724,plain,
% 111.74/111.86     (P1(a1,x7241,x7241)),
% 111.74/111.86     inference(rename_variables,[],[17])).
% 111.74/111.86  cnf(726,plain,
% 111.74/111.86     (P2(f4(a1),f5(a1,a3),f5(a1,a3))),
% 111.74/111.86     inference(scs_inference,[],[19,710,22,711,715,722,20,24,717,21,552,101,71,619,17,34,32,27,33,37])).
% 111.74/111.86  cnf(727,plain,
% 111.74/111.86     (P2(f4(x7271),x7271,a1)),
% 111.74/111.86     inference(rename_variables,[],[22])).
% 111.74/111.86  cnf(729,plain,
% 111.74/111.86     (~P1(x7291,f5(f4(x7291),f4(x7291)),f2(a6,a7))),
% 111.74/111.86     inference(scs_inference,[],[19,710,716,22,711,715,722,20,24,717,723,21,552,101,71,619,272,17,34,32,27,33,37,36])).
% 111.74/111.86  cnf(730,plain,
% 111.74/111.86     (P2(x7301,x7302,f5(x7301,x7302))),
% 111.74/111.86     inference(rename_variables,[],[24])).
% 111.74/111.86  cnf(735,plain,
% 111.74/111.86     (P1(f5(f2(a3,a3),f2(a3,a3)),a1,f2(a3,a3))),
% 111.74/111.86     inference(scs_inference,[],[19,710,716,22,711,715,722,20,714,24,717,723,730,21,23,508,552,501,101,71,619,272,17,34,32,27,33,37,36,28,31])).
% 111.74/111.86  cnf(737,plain,
% 111.74/111.86     (P2(x7371,f4(x7371),a1)),
% 111.74/111.86     inference(rename_variables,[],[20])).
% 111.74/111.86  cnf(738,plain,
% 111.74/111.86     (P1(x7381,f4(x7381),a3)),
% 111.74/111.86     inference(rename_variables,[],[19])).
% 111.74/111.86  cnf(746,plain,
% 111.74/111.86     (~P2(f4(x7461),x7461,f4(f2(a6,a7)))),
% 111.74/111.86     inference(scs_inference,[],[19,710,716,22,711,715,722,727,20,714,737,24,717,723,730,21,23,508,552,568,501,693,549,101,71,619,272,17,724,34,32,27,33,37,36,28,31,35,29])).
% 111.74/111.86  cnf(748,plain,
% 111.74/111.86     (P1(a1,f4(a3),a1)),
% 111.74/111.86     inference(scs_inference,[],[19,710,716,738,22,711,715,722,727,20,714,737,24,717,723,730,21,23,508,552,568,501,693,549,101,71,495,619,272,17,724,34,32,27,33,37,36,28,31,35,29,30])).
% 111.74/111.86  cnf(749,plain,
% 111.74/111.86     (P1(x7491,f4(x7491),a3)),
% 111.74/111.86     inference(rename_variables,[],[19])).
% 111.74/111.86  cnf(751,plain,
% 111.74/111.86     (P2(f4(x7511),x7511,a1)),
% 111.74/111.86     inference(rename_variables,[],[22])).
% 111.74/111.86  cnf(754,plain,
% 111.74/111.86     (P1(x7541,f5(f4(a3),x7541),x7541)),
% 111.74/111.86     inference(scs_inference,[],[19,710,716,738,22,711,715,722,727,20,714,737,24,717,723,730,21,23,508,660,552,568,501,693,549,101,71,495,619,272,17,724,34,32,27,33,37,36,28,31,35,29,30,26])).
% 111.74/111.86  cnf(756,plain,
% 111.74/111.86     (P1(f2(x7561,a1),f4(x7561),a3)),
% 111.74/111.86     inference(scs_inference,[],[19,710,716,738,749,46,22,711,715,722,727,20,714,737,24,717,723,730,21,23,508,660,552,568,501,693,549,101,71,495,619,272,17,724,34,32,27,33,37,36,28,31,35,29,30,26,9])).
% 111.74/111.86  cnf(758,plain,
% 111.74/111.86     (P1(f4(x7581),f2(x7581,a1),a3)),
% 111.74/111.86     inference(scs_inference,[],[19,710,716,738,749,46,22,711,715,722,727,20,714,737,24,717,723,730,21,709,23,508,660,552,568,501,693,549,101,71,495,619,272,17,724,34,32,27,33,37,36,28,31,35,29,30,26,9,10])).
% 111.74/111.86  cnf(760,plain,
% 111.74/111.86     (~P2(f2(a6,a7),a6,f2(a1,a6))),
% 111.74/111.86     inference(scs_inference,[],[19,710,716,738,749,46,22,711,715,722,727,20,714,737,24,717,723,730,21,709,23,38,508,660,552,568,501,693,549,101,71,495,619,272,557,17,724,34,32,27,33,37,36,28,31,35,29,30,26,9,10,14])).
% 111.74/111.86  cnf(761,plain,
% 111.74/111.86     (E(f2(a1,x7611),x7611)),
% 111.74/111.86     inference(rename_variables,[],[557])).
% 111.74/111.86  cnf(762,plain,
% 111.74/111.86     (~E(f5(f2(a6,a7),a3),a3)),
% 111.74/111.86     inference(scs_inference,[],[19,710,716,738,749,46,22,711,715,722,727,20,714,737,24,717,723,730,21,709,23,38,508,660,552,372,568,501,693,549,101,71,495,619,272,557,17,724,34,32,27,33,37,36,28,31,35,29,30,26,9,10,14,2])).
% 111.74/111.86  cnf(763,plain,
% 111.74/111.86     (E(x7631,f5(f2(x7631,a1),a3))),
% 111.74/111.86     inference(scs_inference,[],[19,710,716,738,749,46,43,22,711,715,722,727,20,714,737,24,717,723,730,21,709,23,38,508,660,552,372,568,501,693,549,101,71,495,619,272,557,17,724,34,32,27,33,37,36,28,31,35,29,30,26,9,10,14,2,3])).
% 111.74/111.86  cnf(764,plain,
% 111.74/111.86     (E(x7641,f5(x7641,a3))),
% 111.74/111.86     inference(rename_variables,[],[43])).
% 111.74/111.86  cnf(765,plain,
% 111.74/111.86     (P2(f2(f4(x7651),a1),x7651,a1)),
% 111.74/111.86     inference(scs_inference,[],[19,710,716,738,749,46,43,22,711,715,722,727,751,20,714,737,24,717,723,730,21,709,23,38,508,660,552,372,568,501,693,549,101,71,495,619,272,557,17,724,34,32,27,33,37,36,28,31,35,29,30,26,9,10,14,2,3,12])).
% 111.74/111.86  cnf(766,plain,
% 111.74/111.86     (E(x7661,f2(x7661,a1))),
% 111.74/111.86     inference(rename_variables,[],[46])).
% 111.74/111.86  cnf(767,plain,
% 111.74/111.86     (~P2(f2(a6,a7),f2(a1,a6),a6)),
% 111.74/111.86     inference(scs_inference,[],[19,710,716,738,749,46,43,22,711,715,722,727,751,20,714,737,24,717,723,730,21,709,23,38,508,660,552,372,568,501,693,549,101,71,495,619,272,557,761,17,724,34,32,27,33,37,36,28,31,35,29,30,26,9,10,14,2,3,12,13])).
% 111.74/111.86  cnf(769,plain,
% 111.74/111.86     (P1(f2(a3,a1),f4(a3),f2(f2(a3,a1),a1))),
% 111.74/111.86     inference(scs_inference,[],[19,710,716,738,749,46,766,43,22,711,715,722,727,751,20,714,737,24,717,723,730,21,709,23,38,508,660,552,476,372,568,501,693,549,101,71,495,619,272,557,761,17,724,34,32,27,33,37,36,28,31,35,29,30,26,9,10,14,2,3,12,13,11])).
% 111.74/111.86  cnf(771,plain,
% 111.74/111.86     (E(f5(x7711,x7712),f5(x7711,f5(x7712,a3)))),
% 111.74/111.86     inference(scs_inference,[],[19,710,716,738,749,46,766,43,764,22,711,715,722,727,751,20,714,737,24,717,723,730,21,709,23,38,508,660,552,476,372,568,501,693,549,101,71,495,619,272,557,761,17,724,34,32,27,33,37,36,28,31,35,29,30,26,9,10,14,2,3,12,13,11,8])).
% 111.74/111.86  cnf(772,plain,
% 111.74/111.86     (P1(x7721,a1,f5(a3,f2(x7721,x7721)))),
% 111.74/111.86     inference(scs_inference,[],[19,22,24,23,33])).
% 111.74/111.86  cnf(773,plain,
% 111.74/111.86     (P2(x7731,x7732,f5(x7731,x7732))),
% 111.74/111.86     inference(rename_variables,[],[24])).
% 111.74/111.86  cnf(774,plain,
% 111.74/111.86     (P2(f4(x7741),x7741,a1)),
% 111.74/111.86     inference(rename_variables,[],[22])).
% 111.74/111.86  cnf(775,plain,
% 111.74/111.86     (P1(x7751,f4(x7751),a3)),
% 111.74/111.86     inference(rename_variables,[],[19])).
% 111.74/111.86  cnf(776,plain,
% 111.74/111.86     (P1(x7761,x7762,f2(x7761,x7762))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(778,plain,
% 111.74/111.86     (P2(f4(a1),f2(a1,a1),f2(a1,a1))),
% 111.74/111.86     inference(scs_inference,[],[19,22,774,24,23,776,33,37])).
% 111.74/111.86  cnf(779,plain,
% 111.74/111.86     (P1(x7791,x7792,f2(x7791,x7792))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(781,plain,
% 111.74/111.86     (P2(f4(x7811),x7811,a1)),
% 111.74/111.86     inference(rename_variables,[],[22])).
% 111.74/111.86  cnf(782,plain,
% 111.74/111.86     (P1(x7821,x7822,f2(x7821,x7822))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(784,plain,
% 111.74/111.86     (P2(f2(a1,a1),a3,f2(f2(a1,a1),a1))),
% 111.74/111.86     inference(scs_inference,[],[19,775,22,774,20,24,23,776,782,403,33,37,36])).
% 111.74/111.86  cnf(786,plain,
% 111.74/111.86     (P1(x7861,x7862,f2(x7861,x7862))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(787,plain,
% 111.74/111.86     (P1(x7871,f4(x7871),a3)),
% 111.74/111.86     inference(rename_variables,[],[19])).
% 111.74/111.86  cnf(792,plain,
% 111.74/111.86     (P2(f2(f4(x7921),f4(x7921)),x7921,f2(a1,a1))),
% 111.74/111.86     inference(scs_inference,[],[19,775,22,774,781,20,24,23,776,782,786,779,754,547,403,33,37,36,28,34])).
% 111.74/111.86  cnf(797,plain,
% 111.74/111.86     (P2(x7971,f4(x7971),f4(a3))),
% 111.74/111.86     inference(rename_variables,[],[500])).
% 111.74/111.86  cnf(798,plain,
% 111.74/111.86     (~P1(f5(f4(x7981),a3),x7981,f2(a6,a7))),
% 111.74/111.86     inference(rename_variables,[],[425])).
% 111.74/111.86  cnf(799,plain,
% 111.74/111.86     (P1(x7991,f4(x7991),a3)),
% 111.74/111.86     inference(rename_variables,[],[19])).
% 111.74/111.86  cnf(802,plain,
% 111.74/111.86     (P2(f4(x8021),x8021,f4(a3))),
% 111.74/111.86     inference(scs_inference,[],[19,775,787,22,774,781,20,24,23,776,782,786,779,754,500,797,425,547,403,128,33,37,36,28,34,32,27])).
% 111.74/111.86  cnf(806,plain,
% 111.74/111.86     (P1(x8061,f4(x8061),a3)),
% 111.74/111.86     inference(rename_variables,[],[19])).
% 111.74/111.86  cnf(809,plain,
% 111.74/111.86     (P1(f2(a3,a3),f4(a3),f2(a3,a3))),
% 111.74/111.86     inference(scs_inference,[],[19,775,787,799,806,22,774,781,20,24,773,23,776,782,786,779,754,500,797,425,798,547,608,403,128,33,37,36,28,34,32,27,31,30])).
% 111.74/111.86  cnf(812,plain,
% 111.74/111.86     (~P1(f2(a3,a3),a6,f2(a6,a7))),
% 111.74/111.86     inference(scs_inference,[],[19,775,787,799,806,22,774,781,20,24,773,23,776,782,786,779,38,754,500,797,425,798,136,547,608,403,128,495,17,33,37,36,28,34,32,27,31,30,35])).
% 111.74/111.86  cnf(817,plain,
% 111.74/111.86     (~P2(a3,f2(a1,f2(a6,a7)),a3)),
% 111.74/111.86     inference(scs_inference,[],[19,775,787,799,806,41,22,774,781,20,24,773,23,776,782,786,779,38,754,500,797,425,798,136,547,626,608,403,128,495,17,33,37,36,28,34,32,27,31,30,35,29])).
% 111.74/111.86  cnf(820,plain,
% 111.74/111.86     (~P1(f5(f4(x8201),f4(x8201)),x8201,f2(a6,a7))),
% 111.74/111.86     inference(scs_inference,[],[19,775,787,799,806,41,22,774,781,20,24,773,23,776,782,786,779,38,754,729,500,797,425,798,136,547,626,608,403,128,495,17,33,37,36,28,34,32,27,31,30,35,29,26])).
% 111.74/111.86  cnf(824,plain,
% 111.74/111.86     (P2(f4(x8241),x8241,f5(a1,a3))),
% 111.74/111.86     inference(scs_inference,[],[19,775,787,799,806,41,43,22,774,781,20,24,773,23,776,782,786,779,38,754,729,500,797,260,425,798,136,547,626,608,403,128,495,557,17,33,37,36,28,34,32,27,31,30,35,29,26,9,14])).
% 111.74/111.86  cnf(825,plain,
% 111.74/111.86     (E(x8251,f5(x8251,a3))),
% 111.74/111.86     inference(rename_variables,[],[43])).
% 111.74/111.86  cnf(826,plain,
% 111.74/111.86     (E(f2(x8261,a1),x8261)),
% 111.74/111.86     inference(scs_inference,[],[19,775,787,799,806,41,43,46,22,774,781,20,24,773,23,776,782,786,779,38,754,729,500,797,260,425,798,136,547,626,608,403,128,495,557,17,33,37,36,28,34,32,27,31,30,35,29,26,9,14,2])).
% 111.74/111.86  cnf(828,plain,
% 111.74/111.86     (E(x8281,f5(x8281,a3))),
% 111.74/111.86     inference(rename_variables,[],[43])).
% 111.74/111.86  cnf(829,plain,
% 111.74/111.86     (E(x8291,f2(x8291,f5(a1,a3)))),
% 111.74/111.86     inference(scs_inference,[],[19,775,787,799,806,41,43,825,46,22,774,781,20,24,773,23,776,782,786,779,38,642,754,545,729,500,797,260,425,798,136,547,626,608,403,128,495,557,17,33,37,36,28,34,32,27,31,30,35,29,26,9,14,2,10,3])).
% 111.74/111.86  cnf(831,plain,
% 111.74/111.86     (P2(f5(f5(a3,a3),a3),f5(a3,a3),f5(a3,a3))),
% 111.74/111.86     inference(scs_inference,[],[19,775,787,799,806,41,43,825,828,46,22,774,781,20,24,773,23,776,782,786,779,38,277,642,754,545,729,500,797,260,425,798,136,547,626,608,403,128,495,557,17,33,37,36,28,34,32,27,31,30,35,29,26,9,14,2,10,3,12])).
% 111.74/111.86  cnf(832,plain,
% 111.74/111.86     (E(x8321,f5(x8321,a3))),
% 111.74/111.86     inference(rename_variables,[],[43])).
% 111.74/111.86  cnf(833,plain,
% 111.74/111.86     (P2(f4(x8331),f5(x8331,a3),a1)),
% 111.74/111.86     inference(scs_inference,[],[19,775,787,799,806,41,43,825,828,832,46,22,774,781,20,24,773,23,776,782,786,779,38,277,642,754,545,729,500,797,260,425,798,136,547,626,608,403,128,495,557,17,33,37,36,28,34,32,27,31,30,35,29,26,9,14,2,10,3,12,13])).
% 111.74/111.86  cnf(834,plain,
% 111.74/111.86     (E(x8341,f5(x8341,a3))),
% 111.74/111.86     inference(rename_variables,[],[43])).
% 111.74/111.86  cnf(835,plain,
% 111.74/111.86     (~P1(f5(a3,a1),f5(a3,a3),f2(a6,a7))),
% 111.74/111.86     inference(scs_inference,[],[19,775,787,799,806,41,43,825,828,832,834,46,22,774,781,20,24,773,23,776,782,786,779,38,277,642,754,545,729,500,797,260,425,798,136,547,626,608,403,128,495,557,17,33,37,36,28,34,32,27,31,30,35,29,26,9,14,2,10,3,12,13,11])).
% 111.74/111.86  cnf(837,plain,
% 111.74/111.86     (E(a3,f2(f4(x8371),x8371))),
% 111.74/111.86     inference(scs_inference,[],[21,23,28])).
% 111.74/111.86  cnf(838,plain,
% 111.74/111.86     (P1(x8381,x8382,f2(x8381,x8382))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(840,plain,
% 111.74/111.86     (~P1(a1,a1,f4(f2(a6,a7)))),
% 111.74/111.86     inference(scs_inference,[],[20,22,21,23,746,358,28,34])).
% 111.74/111.86  cnf(841,plain,
% 111.74/111.86     (P2(f4(x8411),x8411,a1)),
% 111.74/111.86     inference(rename_variables,[],[22])).
% 111.74/111.86  cnf(842,plain,
% 111.74/111.86     (P2(x8421,f4(x8421),a1)),
% 111.74/111.86     inference(rename_variables,[],[20])).
% 111.74/111.86  cnf(843,plain,
% 111.74/111.86     (~P2(f4(x8431),x8431,f4(f2(a6,a7)))),
% 111.74/111.86     inference(rename_variables,[],[746])).
% 111.74/111.86  cnf(846,plain,
% 111.74/111.86     (~P2(x8461,f4(x8461),f4(f2(a6,a7)))),
% 111.74/111.86     inference(scs_inference,[],[20,22,21,23,746,843,358,28,34,27])).
% 111.74/111.86  cnf(848,plain,
% 111.74/111.86     (P1(f4(x8481),f5(x8481,x8481),f2(a3,a1))),
% 111.74/111.86     inference(scs_inference,[],[20,49,22,24,21,23,746,843,358,28,34,27,33])).
% 111.74/111.86  cnf(849,plain,
% 111.74/111.86     (P2(x8491,x8492,f5(x8491,x8492))),
% 111.74/111.86     inference(rename_variables,[],[24])).
% 111.74/111.86  cnf(853,plain,
% 111.74/111.86     (P2(x8531,f4(x8531),a1)),
% 111.74/111.86     inference(rename_variables,[],[20])).
% 111.74/111.86  cnf(859,plain,
% 111.74/111.86     (P1(x8591,x8592,f2(x8591,x8592))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(861,plain,
% 111.74/111.86     (E(f5(a3,f5(x8611,a3)),x8611)),
% 111.74/111.86     inference(scs_inference,[],[20,842,49,22,24,849,21,23,838,38,746,843,236,635,527,358,495,15,18,28,34,27,33,37,36,29])).
% 111.74/111.86  cnf(866,plain,
% 111.74/111.86     (P1(f4(x8661),x8661,a3)),
% 111.74/111.86     inference(rename_variables,[],[21])).
% 111.74/111.86  cnf(867,plain,
% 111.74/111.86     (P1(x8671,x8672,f2(x8671,x8672))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(874,plain,
% 111.74/111.86     (P1(f5(x8741,x8742),f4(a3),f5(f5(x8741,a3),x8742))),
% 111.74/111.86     inference(scs_inference,[],[20,842,49,22,841,24,849,21,23,838,859,867,38,746,843,704,236,635,624,767,527,660,358,87,495,15,18,28,34,27,33,37,36,29,30,35,26])).
% 111.74/111.86  cnf(876,plain,
% 111.74/111.86     (P1(f5(f4(x8761),a3),x8761,a3)),
% 111.74/111.86     inference(scs_inference,[],[20,842,49,43,22,841,24,849,21,866,23,838,859,867,38,746,843,704,236,635,624,767,527,660,358,87,495,15,18,28,34,27,33,37,36,29,30,35,26,9])).
% 111.74/111.86  cnf(877,plain,
% 111.74/111.86     (E(x8771,f5(x8771,a3))),
% 111.74/111.86     inference(rename_variables,[],[43])).
% 111.74/111.86  cnf(878,plain,
% 111.74/111.86     (~E(a7,f4(a1))),
% 111.74/111.86     inference(scs_inference,[],[20,842,49,43,22,841,24,849,21,866,23,838,859,867,38,746,843,633,704,236,635,624,767,527,660,358,87,495,15,18,28,34,27,33,37,36,29,30,35,26,9,2])).
% 111.74/111.86  cnf(879,plain,
% 111.74/111.86     (~E(f5(a1,a3),f4(f2(a6,a7)))),
% 111.74/111.86     inference(scs_inference,[],[20,842,49,43,22,841,24,849,21,866,23,838,859,867,38,824,746,843,633,704,236,635,624,767,527,660,358,87,495,15,18,28,34,27,33,37,36,29,30,35,26,9,2,14])).
% 111.74/111.86  cnf(881,plain,
% 111.74/111.86     (P1(f4(x8811),f5(x8811,a3),a3)),
% 111.74/111.86     inference(scs_inference,[],[20,842,49,43,877,22,841,24,849,21,866,23,838,859,867,38,824,746,843,633,704,236,635,624,767,527,660,358,87,495,15,18,28,34,27,33,37,36,29,30,35,26,9,2,14,10])).
% 111.74/111.86  cnf(882,plain,
% 111.74/111.86     (E(x8821,f5(x8821,a3))),
% 111.74/111.86     inference(rename_variables,[],[43])).
% 111.74/111.86  cnf(883,plain,
% 111.74/111.86     (~E(f5(f4(a1),a3),a7)),
% 111.74/111.86     inference(scs_inference,[],[20,842,49,43,877,882,22,841,24,849,21,866,23,838,859,867,38,824,746,843,633,704,236,635,624,767,527,660,358,87,495,15,18,28,34,27,33,37,36,29,30,35,26,9,2,14,10,3])).
% 111.74/111.86  cnf(884,plain,
% 111.74/111.86     (E(x8841,f5(x8841,a3))),
% 111.74/111.86     inference(rename_variables,[],[43])).
% 111.74/111.86  cnf(886,plain,
% 111.74/111.86     (E(f2(x8861,a1),x8861)),
% 111.74/111.86     inference(rename_variables,[],[826])).
% 111.74/111.86  cnf(887,plain,
% 111.74/111.86     (P2(a3,f5(a3,a3),f2(a3,a1))),
% 111.74/111.86     inference(scs_inference,[],[20,842,49,43,877,882,884,22,841,24,849,21,866,23,838,859,867,38,824,746,843,826,633,704,236,635,624,767,527,660,358,87,495,15,18,28,34,27,33,37,36,29,30,35,26,9,2,14,10,3,12,13])).
% 111.74/111.86  cnf(889,plain,
% 111.74/111.86     (P1(f4(x8891),x8891,f2(a3,a1))),
% 111.74/111.86     inference(scs_inference,[],[20,842,49,43,877,882,884,46,22,841,24,849,21,866,23,838,859,867,38,824,746,843,826,633,704,236,635,624,767,527,660,358,87,495,15,18,28,34,27,33,37,36,29,30,35,26,9,2,14,10,3,12,13,11])).
% 111.74/111.86  cnf(890,plain,
% 111.74/111.86     (E(x8901,f2(x8901,a1))),
% 111.74/111.86     inference(rename_variables,[],[46])).
% 111.74/111.86  cnf(891,plain,
% 111.74/111.86     (~P2(f2(a6,a1),f2(a6,a7),a6)),
% 111.74/111.86     inference(scs_inference,[],[20,842,49,43,877,882,884,46,22,841,24,849,21,866,23,838,859,867,38,824,746,843,826,886,633,704,236,635,624,767,527,660,358,87,495,15,18,28,34,27,33,37,36,29,30,35,26,9,2,14,10,3,12,13,11,94])).
% 111.74/111.86  cnf(893,plain,
% 111.74/111.86     (E(f2(x8931,x8932),f2(x8931,f2(x8932,a1)))),
% 111.74/111.86     inference(scs_inference,[],[20,842,49,43,877,882,884,46,890,22,841,24,849,21,866,23,838,859,867,38,824,746,843,826,886,633,704,236,635,624,767,527,660,358,87,495,15,18,28,34,27,33,37,36,29,30,35,26,9,2,14,10,3,12,13,11,94,6])).
% 111.74/111.86  cnf(894,plain,
% 111.74/111.86     (E(f2(x8941,x8942),f2(f2(x8941,a1),x8942))),
% 111.74/111.86     inference(scs_inference,[],[20,842,49,43,877,882,884,46,890,22,841,24,849,21,866,23,838,859,867,38,824,746,843,826,886,633,704,236,635,624,767,527,660,358,87,495,15,18,28,34,27,33,37,36,29,30,35,26,9,2,14,10,3,12,13,11,94,6,5])).
% 111.74/111.86  cnf(895,plain,
% 111.74/111.86     (E(f5(x8951,x8952),f5(f2(x8951,a1),x8952))),
% 111.74/111.86     inference(scs_inference,[],[20,842,49,43,877,882,884,46,890,22,841,24,849,21,866,23,838,859,867,38,824,746,843,826,886,633,704,236,635,624,767,527,660,358,87,495,15,18,28,34,27,33,37,36,29,30,35,26,9,2,14,10,3,12,13,11,94,6,5,7])).
% 111.74/111.86  cnf(896,plain,
% 111.74/111.86     (E(f4(x8961),f4(f2(x8961,a1)))),
% 111.74/111.86     inference(scs_inference,[],[20,842,49,43,877,882,884,46,890,22,841,24,849,21,866,23,838,859,867,38,824,746,843,826,886,633,704,236,635,624,767,527,660,358,87,495,15,18,28,34,27,33,37,36,29,30,35,26,9,2,14,10,3,12,13,11,94,6,5,7,4])).
% 111.74/111.86  cnf(898,plain,
% 111.74/111.86     (P2(x8981,f4(x8981),a1)),
% 111.74/111.86     inference(rename_variables,[],[20])).
% 111.74/111.86  cnf(900,plain,
% 111.74/111.86     (~P2(f2(a1,a3),f5(a3,a3),f2(a6,a7))),
% 111.74/111.86     inference(scs_inference,[],[20,842,853,898,49,43,877,882,884,46,890,22,841,24,849,21,866,23,838,859,867,38,824,746,843,826,886,383,633,704,236,635,624,767,527,130,660,358,87,495,15,18,28,34,27,33,37,36,29,30,35,26,9,2,14,10,3,12,13,11,94,6,5,7,4,32,31])).
% 111.74/111.86  cnf(908,plain,
% 111.74/111.86     (P2(x9081,a3,x9081)),
% 111.74/111.86     inference(rename_variables,[],[16])).
% 111.74/111.86  cnf(910,plain,
% 111.74/111.86     (~P2(a3,a3,f5(f2(a6,a7),a3))),
% 111.74/111.86     inference(scs_inference,[],[24,812,360,508,286,230,16,32,33])).
% 111.74/111.86  cnf(912,plain,
% 111.74/111.86     (P2(x9121,x9122,f5(x9121,x9122))),
% 111.74/111.86     inference(rename_variables,[],[24])).
% 111.74/111.86  cnf(917,plain,
% 111.74/111.86     (P1(x9171,x9172,f2(x9171,x9172))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(919,plain,
% 111.74/111.86     (~P1(f2(a1,a1),a1,f4(f2(a6,a7)))),
% 111.74/111.86     inference(scs_inference,[],[20,24,23,792,846,812,639,360,508,754,286,230,358,87,16,32,33,36,37])).
% 111.74/111.86  cnf(920,plain,
% 111.74/111.86     (P2(f2(f4(x9201),f4(x9201)),x9201,f2(a1,a1))),
% 111.74/111.86     inference(rename_variables,[],[792])).
% 111.74/111.86  cnf(923,plain,
% 111.74/111.86     (P2(x9231,f4(x9231),a1)),
% 111.74/111.86     inference(rename_variables,[],[20])).
% 111.74/111.86  cnf(926,plain,
% 111.74/111.86     (P1(x9261,x9262,f2(x9261,x9262))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(928,plain,
% 111.74/111.86     (~P1(f5(a6,a6),f5(a6,a7),a6)),
% 111.74/111.86     inference(scs_inference,[],[20,24,912,23,917,926,38,792,846,702,812,639,360,508,754,286,230,128,358,87,16,32,33,36,37,28,34])).
% 111.74/111.86  cnf(930,plain,
% 111.74/111.86     (P1(x9301,x9302,f2(x9301,x9302))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(933,plain,
% 111.74/111.86     (P2(x9331,f2(f4(x9331),f4(x9331)),f2(a1,a1))),
% 111.74/111.86     inference(scs_inference,[],[20,24,912,23,917,926,38,792,920,846,702,812,639,360,508,754,286,230,128,358,87,16,32,33,36,37,28,34,27])).
% 111.74/111.86  cnf(935,plain,
% 111.74/111.86     (~P2(f5(f5(a3,a3),a3),f5(a3,a3),f2(a6,a7))),
% 111.74/111.86     inference(scs_inference,[],[20,24,912,23,917,926,38,792,920,846,831,702,812,639,360,508,95,754,286,230,128,358,87,16,32,33,36,37,28,34,27,29])).
% 111.74/111.86  cnf(937,plain,
% 111.74/111.86     (~P1(a3,f4(a3),f2(a1,f2(a6,a7)))),
% 111.74/111.86     inference(scs_inference,[],[20,923,24,912,23,917,926,38,792,920,846,831,820,326,702,812,639,360,508,95,754,286,230,626,128,358,87,16,32,33,36,37,28,34,27,29,31])).
% 111.74/111.86  cnf(938,plain,
% 111.74/111.86     (~P1(f5(f4(x9381),f4(x9381)),x9381,f2(a6,a7))),
% 111.74/111.86     inference(rename_variables,[],[820])).
% 111.74/111.86  cnf(940,plain,
% 111.74/111.86     (P2(x9401,f4(x9401),a1)),
% 111.74/111.86     inference(rename_variables,[],[20])).
% 111.74/111.86  cnf(942,plain,
% 111.74/111.86     (~P2(f2(a3,a6),f2(a3,a6),f2(a6,a7))),
% 111.74/111.86     inference(scs_inference,[],[20,923,24,912,23,917,926,930,38,792,920,846,831,820,326,702,812,639,360,508,95,754,96,286,230,626,128,358,87,16,908,32,33,36,37,28,34,27,29,31,30])).
% 111.74/111.86  cnf(943,plain,
% 111.74/111.86     (P1(x9431,x9432,f2(x9431,x9432))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(944,plain,
% 111.74/111.86     (P1(x9441,x9442,f2(x9441,x9442))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(947,plain,
% 111.74/111.86     (P2(f2(a3,x9471),f2(a3,x9471),f2(f2(a3,a1),x9471))),
% 111.74/111.86     inference(scs_inference,[],[20,923,49,24,912,23,917,926,930,944,943,38,792,920,846,831,820,326,702,812,639,360,508,95,754,96,286,230,626,128,358,87,16,908,32,33,36,37,28,34,27,29,31,30,35])).
% 111.74/111.86  cnf(950,plain,
% 111.74/111.86     (P1(x9501,x9502,f2(x9501,x9502))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(954,plain,
% 111.74/111.86     (~E(a6,f5(f4(a7),f4(a7)))),
% 111.74/111.86     inference(scs_inference,[],[20,923,49,24,912,23,917,926,930,944,950,943,38,792,920,846,831,820,938,326,522,702,812,639,360,508,95,754,96,286,230,626,128,358,87,16,908,32,33,36,37,28,34,27,29,31,30,35,26,9])).
% 111.74/111.86  cnf(955,plain,
% 111.74/111.86     (P1(x9551,x9552,f2(x9551,x9552))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(958,plain,
% 111.74/111.86     (E(f5(a3,f5(x9581,a3)),x9581)),
% 111.74/111.86     inference(rename_variables,[],[861])).
% 111.74/111.86  cnf(960,plain,
% 111.74/111.86     (E(x9601,f5(x9601,a3))),
% 111.74/111.86     inference(rename_variables,[],[43])).
% 111.74/111.86  cnf(961,plain,
% 111.74/111.86     (E(f2(x9611,f5(a1,a3)),x9611)),
% 111.74/111.86     inference(scs_inference,[],[20,923,49,43,24,912,23,917,926,930,944,950,943,38,792,920,829,846,831,554,861,820,938,326,522,702,812,639,360,508,95,754,96,286,230,626,128,358,87,16,908,32,33,36,37,28,34,27,29,31,30,35,26,9,14,3,2])).
% 111.74/111.86  cnf(962,plain,
% 111.74/111.86     (P1(f4(x9621),f5(x9621,a3),f2(a3,a1))),
% 111.74/111.86     inference(scs_inference,[],[20,923,49,43,960,24,912,23,917,926,930,944,950,943,38,889,792,920,829,846,831,554,861,820,938,326,522,702,812,639,360,508,95,754,96,286,230,626,128,358,87,16,908,32,33,36,37,28,34,27,29,31,30,35,26,9,14,3,2,10])).
% 111.74/111.86  cnf(964,plain,
% 111.74/111.86     (P2(f2(x9641,a1),f4(x9641),a1)),
% 111.74/111.86     inference(scs_inference,[],[20,923,940,49,43,960,46,24,912,23,917,926,930,944,950,943,38,889,792,920,829,846,831,554,861,820,938,326,522,702,812,639,360,508,95,754,96,286,230,626,128,358,87,16,908,32,33,36,37,28,34,27,29,31,30,35,26,9,14,3,2,10,12])).
% 111.74/111.86  cnf(968,plain,
% 111.74/111.86     (~E(f2(a1,a1),f4(f2(a6,a7)))),
% 111.74/111.86     inference(scs_inference,[],[20,923,940,49,43,960,46,24,912,23,917,926,930,944,950,955,943,38,889,792,920,829,840,846,831,554,861,958,820,938,326,522,702,812,639,360,508,95,754,96,286,230,626,128,358,87,16,908,32,33,36,37,28,34,27,29,31,30,35,26,9,14,3,2,10,12,13,11])).
% 111.74/111.86  cnf(972,plain,
% 111.74/111.86     (P1(f4(x9721),x9721,a3)),
% 111.74/111.86     inference(rename_variables,[],[21])).
% 111.74/111.86  cnf(973,plain,
% 111.74/111.86     (P1(f5(f4(a3),x9731),x9731,x9731)),
% 111.74/111.86     inference(rename_variables,[],[660])).
% 111.74/111.86  cnf(974,plain,
% 111.74/111.86     (P2(x9741,x9742,f5(x9741,x9742))),
% 111.74/111.86     inference(rename_variables,[],[24])).
% 111.74/111.86  cnf(976,plain,
% 111.74/111.86     (~P1(f5(f4(a1),f5(a3,a3)),a1,a7)),
% 111.74/111.86     inference(scs_inference,[],[21,24,878,746,321,660,37,28])).
% 111.74/111.86  cnf(980,plain,
% 111.74/111.86     (P1(f4(x9801),x9801,a3)),
% 111.74/111.86     inference(rename_variables,[],[21])).
% 111.74/111.86  cnf(981,plain,
% 111.74/111.86     (P1(f5(f4(a3),x9811),x9811,x9811)),
% 111.74/111.86     inference(rename_variables,[],[660])).
% 111.74/111.86  cnf(984,plain,
% 111.74/111.86     (~P2(f5(f4(a3),a6),f2(a6,a3),f4(a7))),
% 111.74/111.86     inference(scs_inference,[],[21,972,55,24,878,746,846,479,321,660,973,981,128,37,28,34,32])).
% 111.74/111.86  cnf(986,plain,
% 111.74/111.86     (P2(x9861,f2(x9861,a3),x9861)),
% 111.74/111.86     inference(rename_variables,[],[55])).
% 111.74/111.86  cnf(989,plain,
% 111.74/111.86     (~P2(f5(a3,a3),f2(a1,a3),f2(a6,a7))),
% 111.74/111.86     inference(scs_inference,[],[21,972,55,24,900,878,746,846,479,321,660,973,981,128,37,28,34,32,27])).
% 111.74/111.86  cnf(992,plain,
% 111.74/111.86     (P1(x9921,x9922,f2(x9921,x9922))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(993,plain,
% 111.74/111.86     (P2(x9931,f2(x9931,a3),x9931)),
% 111.74/111.86     inference(rename_variables,[],[55])).
% 111.74/111.86  cnf(994,plain,
% 111.74/111.86     (P2(f5(x9941,a3),a3,x9941)),
% 111.74/111.86     inference(rename_variables,[],[230])).
% 111.74/111.86  cnf(996,plain,
% 111.74/111.86     (P2(a3,a3,f2(f4(a3),f2(a3,a1)))),
% 111.74/111.86     inference(scs_inference,[],[21,972,980,55,986,49,24,23,992,900,176,878,746,846,479,321,660,973,981,230,128,37,28,34,32,27,33,36])).
% 111.74/111.86  cnf(997,plain,
% 111.74/111.86     (P1(x9971,x9972,f2(x9971,x9972))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(999,plain,
% 111.74/111.86     (P1(f4(x9991),x9991,a3)),
% 111.74/111.86     inference(rename_variables,[],[21])).
% 111.74/111.86  cnf(1001,plain,
% 111.74/111.86     (~P2(a6,f2(a6,a3),f5(a6,f2(a6,a7)))),
% 111.74/111.86     inference(scs_inference,[],[21,972,980,55,986,993,39,49,24,23,992,900,176,878,746,846,479,321,660,973,981,230,128,37,28,34,32,27,33,36,29])).
% 111.74/111.86  cnf(1002,plain,
% 111.74/111.86     (P2(x10021,f2(x10021,a3),x10021)),
% 111.74/111.86     inference(rename_variables,[],[55])).
% 111.74/111.86  cnf(1004,plain,
% 111.74/111.86     (~P1(f2(a3,a1),f5(a1,a1),f5(f2(a6,a7),a3))),
% 111.74/111.86     inference(scs_inference,[],[21,972,980,55,986,993,39,49,24,23,992,900,176,878,910,65,746,846,479,321,660,973,981,230,128,37,28,34,32,27,33,36,29,35])).
% 111.74/111.86  cnf(1006,plain,
% 111.74/111.86     (~P2(f5(a6,a3),f5(a6,a3),f4(a7))),
% 111.74/111.86     inference(scs_inference,[],[21,972,980,55,986,993,1002,39,49,24,23,992,997,900,176,878,532,910,65,746,846,479,321,660,973,981,230,994,128,37,28,34,32,27,33,36,29,35,31])).
% 111.74/111.86  cnf(1007,plain,
% 111.74/111.86     (P2(x10071,f2(x10071,a3),x10071)),
% 111.74/111.86     inference(rename_variables,[],[55])).
% 111.74/111.86  cnf(1011,plain,
% 111.74/111.86     (P1(f5(f4(x10111),f4(x10111)),x10111,f2(a3,a1))),
% 111.74/111.86     inference(scs_inference,[],[21,972,980,999,55,986,993,1002,39,49,24,974,23,992,997,900,176,878,532,910,65,746,846,479,321,660,973,981,230,994,128,37,28,34,32,27,33,36,29,35,31,30])).
% 111.74/111.86  cnf(1014,plain,
% 111.74/111.86     (P1(f5(x10141,x10141),f4(x10141),f2(a3,a1))),
% 111.74/111.86     inference(scs_inference,[],[21,972,980,999,55,986,993,1002,39,49,24,974,23,992,997,848,900,176,878,532,910,65,746,846,479,321,660,973,981,230,994,128,37,28,34,32,27,33,36,29,35,31,30,26])).
% 111.74/111.86  cnf(1017,plain,
% 111.74/111.86     (E(f2(x10171,f5(a1,a3)),x10171)),
% 111.74/111.86     inference(rename_variables,[],[961])).
% 111.74/111.86  cnf(1018,plain,
% 111.74/111.86     (~E(a6,f5(f5(a6,a3),f2(a6,a7)))),
% 111.74/111.86     inference(scs_inference,[],[21,972,980,999,55,986,993,1002,39,49,24,974,23,992,997,848,961,86,699,900,835,176,878,532,910,65,746,846,479,321,660,973,981,230,994,128,37,28,34,32,27,33,36,29,35,31,30,26,9,3])).
% 111.74/111.86  cnf(1021,plain,
% 111.74/111.86     (P2(x10211,f2(x10211,a3),f5(x10211,a3))),
% 111.74/111.86     inference(scs_inference,[],[21,972,980,999,55,986,993,1002,1007,39,49,43,24,974,23,992,997,848,961,86,699,900,968,835,176,878,532,910,65,746,846,479,321,660,973,981,230,994,128,37,28,34,32,27,33,36,29,35,31,30,26,9,3,2,14])).
% 111.74/111.86  cnf(1022,plain,
% 111.74/111.86     (E(x10221,f5(x10221,a3))),
% 111.74/111.86     inference(rename_variables,[],[43])).
% 111.74/111.86  cnf(1023,plain,
% 111.74/111.86     (~P1(f5(a3,a1),a3,f2(a6,a7))),
% 111.74/111.86     inference(scs_inference,[],[21,972,980,999,55,986,993,1002,1007,39,49,43,1022,24,974,23,992,997,848,961,86,699,900,968,835,176,878,532,910,65,746,846,479,321,660,973,981,230,994,128,37,28,34,32,27,33,36,29,35,31,30,26,9,3,2,14,10])).
% 111.74/111.86  cnf(1024,plain,
% 111.74/111.86     (E(x10241,f5(x10241,a3))),
% 111.74/111.86     inference(rename_variables,[],[43])).
% 111.74/111.86  cnf(1025,plain,
% 111.74/111.86     (P2(f5(a3,a3),a3,f2(a3,a1))),
% 111.74/111.86     inference(scs_inference,[],[21,972,980,999,55,986,993,1002,1007,39,49,43,1022,1024,24,974,23,992,997,848,961,86,699,900,968,835,176,878,532,910,65,746,846,479,321,660,973,981,230,994,128,37,28,34,32,27,33,36,29,35,31,30,26,9,3,2,14,10,12])).
% 111.74/111.86  cnf(1026,plain,
% 111.74/111.86     (E(x10261,f5(x10261,a3))),
% 111.74/111.86     inference(rename_variables,[],[43])).
% 111.74/111.86  cnf(1027,plain,
% 111.74/111.86     (P2(x10271,f5(f2(x10271,a3),a3),x10271)),
% 111.74/111.86     inference(scs_inference,[],[21,972,980,999,55,986,993,1002,1007,39,49,43,1022,1024,1026,24,974,23,992,997,848,961,86,699,900,968,835,176,878,532,910,65,746,846,479,321,660,973,981,230,994,128,37,28,34,32,27,33,36,29,35,31,30,26,9,3,2,14,10,12,13])).
% 111.74/111.86  cnf(1029,plain,
% 111.74/111.86     (~P1(f5(a3,a1),f5(a3,a3),f2(f2(a6,a7),f5(a1,a3)))),
% 111.74/111.86     inference(scs_inference,[],[21,972,980,999,55,986,993,1002,1007,39,49,43,1022,1024,1026,24,974,23,992,997,848,961,1017,86,699,900,968,835,176,878,532,910,65,746,846,479,321,660,973,981,230,994,128,37,28,34,32,27,33,36,29,35,31,30,26,9,3,2,14,10,12,13,11])).
% 111.74/111.86  cnf(1031,plain,
% 111.74/111.86     (E(f5(x10311,f4(a3)),f5(x10311,a1))),
% 111.74/111.86     inference(scs_inference,[],[21,972,980,999,55,986,993,1002,1007,39,49,43,1022,1024,1026,24,974,23,992,997,848,961,1017,86,699,900,968,835,176,878,532,910,65,681,746,846,479,321,660,973,981,230,994,128,37,28,34,32,27,33,36,29,35,31,30,26,9,3,2,14,10,12,13,11,8])).
% 111.74/111.86  cnf(1032,plain,
% 111.74/111.86     (P1(f5(f4(a3),f2(a3,a3)),a3,a3)),
% 111.74/111.86     inference(scs_inference,[],[21,55,24,32])).
% 111.74/111.86  cnf(1034,plain,
% 111.74/111.86     (P2(x10341,f2(x10341,a3),x10341)),
% 111.74/111.86     inference(rename_variables,[],[55])).
% 111.74/111.86  cnf(1035,plain,
% 111.74/111.86     (P1(f4(x10351),x10351,a3)),
% 111.74/111.86     inference(rename_variables,[],[21])).
% 111.74/111.86  cnf(1036,plain,
% 111.74/111.86     (P2(x10361,x10362,f5(x10361,x10362))),
% 111.74/111.86     inference(rename_variables,[],[24])).
% 111.74/111.86  cnf(1038,plain,
% 111.74/111.86     (P2(f5(f2(x10381,a3),a3),x10381,x10381)),
% 111.74/111.86     inference(scs_inference,[],[21,55,24,1027,32,27])).
% 111.74/111.86  cnf(1041,plain,
% 111.74/111.86     (P2(f4(x10411),x10411,a1)),
% 111.74/111.86     inference(rename_variables,[],[22])).
% 111.74/111.86  cnf(1042,plain,
% 111.74/111.86     (P2(x10421,x10422,f5(x10421,x10422))),
% 111.74/111.86     inference(rename_variables,[],[24])).
% 111.74/111.86  cnf(1045,plain,
% 111.74/111.86     (~P1(f4(a3),f2(a3,a1),f5(f2(a6,a7),a3))),
% 111.74/111.86     inference(scs_inference,[],[21,1035,55,22,49,24,1036,1027,748,910,17,32,27,33,36])).
% 111.74/111.86  cnf(1047,plain,
% 111.74/111.86     (P1(f4(x10471),x10471,a3)),
% 111.74/111.86     inference(rename_variables,[],[21])).
% 111.74/111.86  cnf(1050,plain,
% 111.74/111.86     (P1(x10501,x10502,f2(x10501,x10502))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(1051,plain,
% 111.74/111.86     (P1(f4(x10511),x10511,a3)),
% 111.74/111.86     inference(rename_variables,[],[21])).
% 111.74/111.86  cnf(1052,plain,
% 111.74/111.86     (P2(x10521,f2(x10521,a3),x10521)),
% 111.74/111.86     inference(rename_variables,[],[55])).
% 111.74/111.86  cnf(1055,plain,
% 111.74/111.86     (E(a3,f2(a3,f4(x10551)))),
% 111.74/111.86     inference(scs_inference,[],[21,1035,1047,1051,55,1034,22,49,24,1036,23,622,1027,748,500,910,17,32,27,33,36,37,28])).
% 111.74/111.86  cnf(1058,plain,
% 111.74/111.86     (P2(f2(a3,a3),f2(f2(a3,a1),a3),f2(a3,a3))),
% 111.74/111.86     inference(scs_inference,[],[21,1035,1047,1051,55,1034,1052,22,49,24,1036,23,622,1027,748,472,500,910,17,32,27,33,36,37,28,34])).
% 111.74/111.86  cnf(1059,plain,
% 111.74/111.86     (P2(x10591,f2(x10591,a3),x10591)),
% 111.74/111.86     inference(rename_variables,[],[55])).
% 111.74/111.86  cnf(1061,plain,
% 111.74/111.86     (E(x10611,f5(x10611,f2(x10611,a3)))),
% 111.74/111.86     inference(scs_inference,[],[21,1035,1047,1051,55,1034,1052,1059,22,49,24,1036,1042,23,622,1027,748,472,500,910,17,32,27,33,36,37,28,34,29])).
% 111.74/111.86  cnf(1062,plain,
% 111.74/111.86     (P2(x10621,x10622,f5(x10621,x10622))),
% 111.74/111.86     inference(rename_variables,[],[24])).
% 111.74/111.86  cnf(1064,plain,
% 111.74/111.86     (P1(a1,f2(a3,a1),a3)),
% 111.74/111.86     inference(scs_inference,[],[21,1035,1047,1051,55,1034,1052,1059,22,1041,49,24,1036,1042,23,622,1027,748,472,500,910,17,32,27,33,36,37,28,34,29,30])).
% 111.74/111.86  cnf(1065,plain,
% 111.74/111.86     (P2(x10651,f2(x10651,a3),x10651)),
% 111.74/111.86     inference(rename_variables,[],[55])).
% 111.74/111.86  cnf(1067,plain,
% 111.74/111.86     (P1(f4(x10671),x10671,a3)),
% 111.74/111.86     inference(rename_variables,[],[21])).
% 111.74/111.86  cnf(1070,plain,
% 111.74/111.86     (P1(f4(x10701),x10701,a3)),
% 111.74/111.86     inference(rename_variables,[],[21])).
% 111.74/111.86  cnf(1073,plain,
% 111.74/111.86     (~P1(f5(a1,a1),f2(a3,a1),f5(f2(a6,a7),a3))),
% 111.74/111.86     inference(scs_inference,[],[21,1035,1047,1051,1067,55,1034,1052,1059,22,1041,49,24,1036,1042,1062,23,1004,622,1027,748,472,500,910,17,32,27,33,36,37,28,34,29,30,31,26])).
% 111.74/111.86  cnf(1075,plain,
% 111.74/111.86     (P1(f2(f4(x10751),a1),x10751,a3)),
% 111.74/111.86     inference(scs_inference,[],[21,1035,1047,1051,1067,1070,55,1034,1052,1059,22,1041,49,46,24,1036,1042,1062,23,1004,622,1027,748,472,500,910,17,32,27,33,36,37,28,34,29,30,31,26,9])).
% 111.74/111.86  cnf(1077,plain,
% 111.74/111.86     (E(f2(f5(x10771,a3),x10772),f2(x10771,x10772))),
% 111.74/111.86     inference(scs_inference,[],[21,1035,1047,1051,1067,1070,55,1034,1052,1059,22,1041,49,46,24,1036,1042,1062,23,1004,643,622,1027,748,472,500,910,17,32,27,33,36,37,28,34,29,30,31,26,9,2])).
% 111.74/111.86  cnf(1078,plain,
% 111.74/111.86     (~E(f2(a3,a1),f5(f2(a6,a7),a3))),
% 111.74/111.86     inference(scs_inference,[],[21,1035,1047,1051,1067,1070,55,1034,1052,1059,22,1041,49,46,24,1036,1042,1062,23,1004,643,622,1027,748,472,500,910,17,32,27,33,36,37,28,34,29,30,31,26,9,2,14])).
% 111.74/111.86  cnf(1079,plain,
% 111.74/111.86     (P1(f4(x10791),f5(f2(x10791,a1),a3),a3)),
% 111.74/111.86     inference(scs_inference,[],[21,1035,1047,1051,1067,1070,55,1034,1052,1059,22,1041,49,46,24,1036,1042,1062,23,1004,643,622,1027,763,748,472,500,910,17,32,27,33,36,37,28,34,29,30,31,26,9,2,14,10])).
% 111.74/111.86  cnf(1081,plain,
% 111.74/111.86     (~E(f5(f4(a1),a3),f2(a6,a7))),
% 111.74/111.86     inference(scs_inference,[],[21,1035,1047,1051,1067,1070,55,1034,1052,1059,43,22,1041,49,46,24,1036,1042,1062,23,1004,643,622,1027,763,697,748,472,500,910,17,32,27,33,36,37,28,34,29,30,31,26,9,2,14,10,3])).
% 111.74/111.86  cnf(1085,plain,
% 111.74/111.86     (~E(f2(a3,a3),f2(a1,f2(a6,a7)))),
% 111.74/111.86     inference(scs_inference,[],[21,1035,1047,1051,1067,1070,55,1034,1052,1059,1065,43,22,1041,49,46,24,1036,1042,1062,23,38,1004,643,622,1027,763,697,817,748,961,472,500,910,17,32,27,33,36,37,28,34,29,30,31,26,9,2,14,10,3,12,13])).
% 111.74/111.86  cnf(1087,plain,
% 111.74/111.86     (P1(x10871,x10872,f2(f5(x10871,a3),x10872))),
% 111.74/111.86     inference(scs_inference,[],[21,1035,1047,1051,1067,1070,55,1034,1052,1059,1065,43,22,1041,49,46,24,1036,1042,1062,23,1050,38,1004,643,622,1027,763,697,817,748,961,472,500,910,17,32,27,33,36,37,28,34,29,30,31,26,9,2,14,10,3,12,13,11])).
% 111.74/111.86  cnf(1095,plain,
% 111.74/111.86     (P2(f4(a1),f2(f4(a1),a1),f2(a3,a1))),
% 111.74/111.86     inference(scs_inference,[],[22,24,23,1011,37])).
% 111.74/111.86  cnf(1096,plain,
% 111.74/111.86     (P1(f5(f4(x10961),f4(x10961)),x10961,f2(a3,a1))),
% 111.74/111.86     inference(rename_variables,[],[1011])).
% 111.74/111.86  cnf(1097,plain,
% 111.74/111.86     (P2(f4(x10971),x10971,a1)),
% 111.74/111.86     inference(rename_variables,[],[22])).
% 111.74/111.86  cnf(1098,plain,
% 111.74/111.86     (P2(x10981,x10982,f5(x10981,x10982))),
% 111.74/111.86     inference(rename_variables,[],[24])).
% 111.74/111.86  cnf(1099,plain,
% 111.74/111.86     (P1(x10991,x10992,f2(x10991,x10992))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(1101,plain,
% 111.74/111.86     (P2(f2(f4(a3),a3),f2(a3,a3),a3)),
% 111.74/111.86     inference(scs_inference,[],[22,55,24,1098,23,1099,1011,1032,37,34])).
% 111.74/111.86  cnf(1102,plain,
% 111.74/111.86     (P2(x11021,f2(x11021,a3),x11021)),
% 111.74/111.86     inference(rename_variables,[],[55])).
% 111.74/111.86  cnf(1103,plain,
% 111.74/111.86     (P2(x11031,x11032,f5(x11031,x11032))),
% 111.74/111.86     inference(rename_variables,[],[24])).
% 111.74/111.86  cnf(1104,plain,
% 111.74/111.86     (P1(x11041,x11042,f2(x11041,x11042))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(1106,plain,
% 111.74/111.86     (~P1(a3,a1,f5(f2(a6,a7),a3))),
% 111.74/111.86     inference(scs_inference,[],[22,55,24,1098,23,1099,1104,1078,1011,1032,37,34,28])).
% 111.74/111.86  cnf(1107,plain,
% 111.74/111.86     (P1(x11071,x11072,f2(x11071,x11072))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(1110,plain,
% 111.74/111.86     (P1(x11101,x11102,f2(x11101,x11102))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(1115,plain,
% 111.74/111.86     (P1(f5(f4(a3),a3),f2(a3,a1),f2(a3,a1))),
% 111.74/111.86     inference(scs_inference,[],[22,59,55,49,24,1098,1103,23,1099,1104,1107,1078,1011,984,876,1032,37,34,28,32,27,33])).
% 111.74/111.86  cnf(1118,plain,
% 111.74/111.86     (~P2(a3,f2(a3,a3),f2(a6,a7))),
% 111.74/111.86     inference(scs_inference,[],[22,59,55,1102,41,49,24,1098,1103,23,1099,1104,1107,1078,1011,984,876,1032,37,34,28,32,27,33,29])).
% 111.74/111.86  cnf(1122,plain,
% 111.74/111.86     (P1(x11221,x11222,f2(x11221,x11222))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(1126,plain,
% 111.74/111.86     (P1(f2(a3,a1),f4(f5(a3,a3)),f2(a3,a1))),
% 111.74/111.86     inference(scs_inference,[],[22,59,55,1102,41,49,24,1098,1103,23,1099,1104,1107,1110,1078,1011,984,691,876,760,1032,660,87,37,34,28,32,27,33,29,35,30])).
% 111.74/111.86  cnf(1129,plain,
% 111.74/111.86     (~P2(f4(x11291),f2(x11291,x11291),f4(f2(a6,a7)))),
% 111.74/111.86     inference(scs_inference,[],[22,1097,59,55,1102,41,49,24,1098,1103,23,1099,1104,1107,1110,1122,1078,1011,984,691,876,760,1032,840,660,87,37,34,28,32,27,33,29,35,30,31])).
% 111.74/111.86  cnf(1132,plain,
% 111.74/111.86     (P2(f4(x11321),x11321,a1)),
% 111.74/111.86     inference(rename_variables,[],[22])).
% 111.74/111.86  cnf(1134,plain,
% 111.74/111.86     (P1(x11341,f5(f4(x11341),f4(x11341)),f2(a3,a1))),
% 111.74/111.86     inference(scs_inference,[],[22,1097,59,55,1102,41,49,24,1098,1103,23,1099,1104,1107,1110,1122,1078,1011,1096,984,691,876,760,1032,840,660,87,37,34,28,32,27,33,29,35,30,31,26])).
% 111.74/111.86  cnf(1136,plain,
% 111.74/111.86     (P1(f5(f5(x11361,x11361),a3),f4(x11361),f2(a3,a1))),
% 111.74/111.86     inference(scs_inference,[],[22,1097,59,55,1102,41,43,49,24,1098,1103,23,1099,1104,1107,1110,1122,1078,1011,1096,1014,984,691,876,760,1032,840,660,87,37,34,28,32,27,33,29,35,30,31,26,9])).
% 111.74/111.86  cnf(1137,plain,
% 111.74/111.86     (E(x11371,f5(x11371,a3))),
% 111.74/111.86     inference(rename_variables,[],[43])).
% 111.74/111.86  cnf(1138,plain,
% 111.74/111.86     (~E(f5(f2(a6,a7),a3),f2(a3,a1))),
% 111.74/111.86     inference(scs_inference,[],[22,1097,59,55,1102,41,43,49,24,1098,1103,23,1099,1104,1107,1110,1122,1078,1011,1096,1014,984,691,876,760,1032,840,660,87,37,34,28,32,27,33,29,35,30,31,26,9,2])).
% 111.74/111.86  cnf(1139,plain,
% 111.74/111.86     (P1(f5(f4(x11391),f4(x11391)),f5(x11391,a3),f2(a3,a1))),
% 111.74/111.86     inference(scs_inference,[],[22,1097,59,55,1102,41,43,1137,49,24,1098,1103,23,1099,1104,1107,1110,1122,1078,1011,1096,1014,984,691,876,760,1032,840,660,87,37,34,28,32,27,33,29,35,30,31,26,9,2,10])).
% 111.74/111.86  cnf(1141,plain,
% 111.74/111.86     (E(x11411,f5(f2(a1,x11411),a3))),
% 111.74/111.86     inference(scs_inference,[],[22,1097,59,55,1102,41,43,1137,49,24,1098,1103,23,1099,1104,1107,1110,1122,1078,1011,1096,1014,984,691,876,760,1032,840,463,660,87,37,34,28,32,27,33,29,35,30,31,26,9,2,10,3])).
% 111.74/111.86  cnf(1142,plain,
% 111.74/111.86     (E(x11421,f5(x11421,a3))),
% 111.74/111.86     inference(rename_variables,[],[43])).
% 111.74/111.86  cnf(1143,plain,
% 111.74/111.86     (~P2(f2(a6,a7),a6,f2(a6,a1))),
% 111.74/111.86     inference(scs_inference,[],[22,1097,59,55,1102,41,43,1137,49,24,1098,1103,23,1099,1104,1107,1110,1122,38,1078,1011,1096,1014,984,691,876,760,1032,840,463,826,660,87,37,34,28,32,27,33,29,35,30,31,26,9,2,10,3,14])).
% 111.74/111.86  cnf(1144,plain,
% 111.74/111.86     (E(f2(x11441,a1),x11441)),
% 111.74/111.86     inference(rename_variables,[],[826])).
% 111.74/111.86  cnf(1145,plain,
% 111.74/111.86     (P2(f5(f4(x11451),a3),x11451,a1)),
% 111.74/111.86     inference(scs_inference,[],[22,1097,1132,59,55,1102,41,43,1137,1142,49,24,1098,1103,23,1099,1104,1107,1110,1122,38,1078,1011,1096,1014,984,691,876,760,1032,840,463,826,660,87,37,34,28,32,27,33,29,35,30,31,26,9,2,10,3,14,12])).
% 111.74/111.86  cnf(1146,plain,
% 111.74/111.86     (E(x11461,f5(x11461,a3))),
% 111.74/111.86     inference(rename_variables,[],[43])).
% 111.74/111.86  cnf(1147,plain,
% 111.74/111.86     (~P2(f2(a6,a7),f2(a6,a1),a6)),
% 111.74/111.86     inference(scs_inference,[],[22,1097,1132,59,55,1102,41,43,1137,1142,49,24,1098,1103,23,1099,1104,1107,1110,1122,38,1078,1011,1096,1014,984,691,876,760,1032,840,463,826,1144,660,87,37,34,28,32,27,33,29,35,30,31,26,9,2,10,3,14,12,13])).
% 111.74/111.86  cnf(1149,plain,
% 111.74/111.86     (P1(f4(x11491),f5(x11491,a3),f5(f2(a3,a1),a3))),
% 111.74/111.86     inference(scs_inference,[],[22,1097,1132,59,55,1102,41,43,1137,1142,1146,49,24,1098,1103,23,1099,1104,1107,1110,1122,38,1078,1011,1096,1014,962,984,691,876,760,1032,840,463,826,1144,660,87,37,34,28,32,27,33,29,35,30,31,26,9,2,10,3,14,12,13,11])).
% 111.74/111.86  cnf(1151,plain,
% 111.74/111.86     (~P2(f5(a3,f5(a6,a3)),f2(a6,a7),a6)),
% 111.74/111.86     inference(scs_inference,[],[22,1097,1132,59,55,1102,41,43,1137,1142,1146,49,24,1098,1103,23,1099,1104,1107,1110,1122,38,1078,1011,1096,1014,962,984,691,876,760,1032,840,463,826,1144,861,660,87,37,34,28,32,27,33,29,35,30,31,26,9,2,10,3,14,12,13,11,94])).
% 111.74/111.86  cnf(1153,plain,
% 111.74/111.86     (E(f2(x11531,x11532),f2(f2(a1,x11531),x11532))),
% 111.74/111.86     inference(scs_inference,[],[22,1097,1132,59,55,1102,41,43,1137,1142,1146,49,24,1098,1103,23,1099,1104,1107,1110,1122,38,1078,1011,1096,1014,962,984,691,876,760,1032,840,463,826,1144,861,660,87,37,34,28,32,27,33,29,35,30,31,26,9,2,10,3,14,12,13,11,94,5])).
% 111.74/111.86  cnf(1154,plain,
% 111.74/111.86     (E(f2(x11541,x11542),f2(x11541,f2(a1,x11542)))),
% 111.74/111.86     inference(scs_inference,[],[22,1097,1132,59,55,1102,41,43,1137,1142,1146,49,24,1098,1103,23,1099,1104,1107,1110,1122,38,1078,1011,1096,1014,962,984,691,876,760,1032,840,463,826,1144,861,660,87,37,34,28,32,27,33,29,35,30,31,26,9,2,10,3,14,12,13,11,94,5,6])).
% 111.74/111.86  cnf(1155,plain,
% 111.74/111.86     (E(f4(x11551),f4(f2(a1,x11551)))),
% 111.74/111.86     inference(scs_inference,[],[22,1097,1132,59,55,1102,41,43,1137,1142,1146,49,24,1098,1103,23,1099,1104,1107,1110,1122,38,1078,1011,1096,1014,962,984,691,876,760,1032,840,463,826,1144,861,660,87,37,34,28,32,27,33,29,35,30,31,26,9,2,10,3,14,12,13,11,94,5,6,4])).
% 111.74/111.86  cnf(1156,plain,
% 111.74/111.86     (E(f5(x11561,x11562),f5(f2(a1,x11561),x11562))),
% 111.74/111.86     inference(scs_inference,[],[22,1097,1132,59,55,1102,41,43,1137,1142,1146,49,24,1098,1103,23,1099,1104,1107,1110,1122,38,1078,1011,1096,1014,962,984,691,876,760,1032,840,463,826,1144,861,660,87,37,34,28,32,27,33,29,35,30,31,26,9,2,10,3,14,12,13,11,94,5,6,4,7])).
% 111.74/111.86  cnf(1160,plain,
% 111.74/111.86     (~P2(f5(a1,a3),a3,f4(f2(a6,a7)))),
% 111.74/111.86     inference(scs_inference,[],[59,919,71,16,32])).
% 111.74/111.86  cnf(1163,plain,
% 111.74/111.86     (P2(a3,a1,f2(a1,a1))),
% 111.74/111.86     inference(scs_inference,[],[59,919,71,16,32,27])).
% 111.74/111.86  cnf(1165,plain,
% 111.74/111.86     (~P2(f2(a1,a3),f2(a1,a3),f2(a6,a7))),
% 111.74/111.86     inference(scs_inference,[],[59,23,919,729,326,71,16,32,27,33])).
% 111.74/111.86  cnf(1168,plain,
% 111.74/111.86     (P1(x11681,x11682,f2(x11681,x11682))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(1172,plain,
% 111.74/111.86     (P1(x11721,x11722,f2(x11721,x11722))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(1175,plain,
% 111.74/111.86     (~P1(f2(a3,a1),f2(a3,a1),f2(a6,a7))),
% 111.74/111.86     inference(scs_inference,[],[59,49,24,23,1168,1172,708,919,1118,729,326,71,16,32,27,33,36,37])).
% 111.74/111.86  cnf(1176,plain,
% 111.74/111.86     (P1(x11761,x11762,f2(x11761,x11762))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(1180,plain,
% 111.74/111.86     (P2(f4(x11801),x11801,a1)),
% 111.74/111.86     inference(rename_variables,[],[22])).
% 111.74/111.86  cnf(1183,plain,
% 111.74/111.86     (~P1(a1,f2(a6,a7),f2(a3,a3))),
% 111.74/111.86     inference(scs_inference,[],[22,59,49,24,23,1168,1172,1176,38,1085,1038,708,919,1118,729,326,71,16,17,32,27,33,36,37,34,28])).
% 111.74/111.86  cnf(1184,plain,
% 111.74/111.86     (P1(x11841,x11842,f2(x11841,x11842))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(1186,plain,
% 111.74/111.86     (~P2(f2(a6,a7),f2(f2(a6,a7),a3),a3)),
% 111.74/111.86     inference(scs_inference,[],[22,59,55,41,49,24,23,1168,1172,1176,38,1085,1038,708,919,1118,729,326,71,16,17,32,27,33,36,37,34,28,29])).
% 111.74/111.86  cnf(1189,plain,
% 111.74/111.86     (P2(f2(a3,x11891),f2(a3,x11891),f2(x11891,f2(a3,a1)))),
% 111.74/111.86     inference(scs_inference,[],[22,59,55,41,49,24,23,1168,1172,1176,1184,38,1085,1038,708,919,1118,729,326,71,87,16,17,32,27,33,36,37,34,28,29,35])).
% 111.74/111.86  cnf(1191,plain,
% 111.74/111.86     (P1(x11911,x11912,f2(x11911,x11912))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(1192,plain,
% 111.74/111.86     (P1(x11921,x11922,f2(x11921,x11922))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(1194,plain,
% 111.74/111.86     (~P2(f2(a1,a1),f2(a3,a1),f4(f2(a6,a7)))),
% 111.74/111.86     inference(scs_inference,[],[22,59,55,41,49,24,23,1168,1172,1176,1184,1192,1191,38,1085,1038,708,919,1118,729,326,71,87,16,17,32,27,33,36,37,34,28,29,35,30])).
% 111.74/111.86  cnf(1198,plain,
% 111.74/111.86     (~P1(f5(a3,a3),f5(a3,a1),f2(f2(a6,a7),f5(a1,a3)))),
% 111.74/111.86     inference(scs_inference,[],[22,59,55,41,49,24,23,1168,1172,1176,1184,1192,1191,38,1085,1038,1029,708,919,1118,729,326,71,87,16,17,32,27,33,36,37,34,28,29,35,30,26])).
% 111.74/111.86  cnf(1200,plain,
% 111.74/111.86     (E(f5(x12001,f2(x12001,a3)),x12001)),
% 111.74/111.86     inference(scs_inference,[],[22,59,55,41,49,24,23,1168,1172,1176,1184,1192,1191,38,1085,1061,1038,1029,708,919,1118,729,326,71,87,16,17,32,27,33,36,37,34,28,29,35,30,26,2])).
% 111.74/111.86  cnf(1203,plain,
% 111.74/111.86     (E(x12031,f5(x12031,f5(a3,a3)))),
% 111.74/111.86     inference(scs_inference,[],[22,59,55,41,43,49,24,23,1168,1172,1176,1184,1192,1191,38,1085,1061,771,1038,1029,708,444,919,1118,729,326,71,961,87,16,17,32,27,33,36,37,34,28,29,35,30,26,2,9,3])).
% 111.74/111.86  cnf(1205,plain,
% 111.74/111.86     (P2(f4(x12051),x12051,f2(a1,a1))),
% 111.74/111.86     inference(scs_inference,[],[22,1180,59,55,41,43,46,49,24,23,1168,1172,1176,1184,1192,1191,38,1085,1061,771,1038,1029,708,444,919,1118,729,326,71,961,87,16,17,32,27,33,36,37,34,28,29,35,30,26,2,9,3,14])).
% 111.74/111.86  cnf(1206,plain,
% 111.74/111.86     (E(x12061,f2(x12061,a1))),
% 111.74/111.86     inference(rename_variables,[],[46])).
% 111.74/111.86  cnf(1207,plain,
% 111.74/111.86     (~P1(f5(a1,a1),a3,f5(f2(a6,a7),a3))),
% 111.74/111.86     inference(scs_inference,[],[22,1180,59,55,41,43,46,1206,49,24,23,1168,1172,1176,1184,1192,1191,38,1085,1073,1061,771,1038,1029,708,444,919,1118,729,326,71,961,87,16,17,32,27,33,36,37,34,28,29,35,30,26,2,9,3,14,10])).
% 111.74/111.86  cnf(1208,plain,
% 111.74/111.86     (E(x12081,f2(x12081,a1))),
% 111.74/111.86     inference(rename_variables,[],[46])).
% 111.74/111.86  cnf(1209,plain,
% 111.74/111.86     (P2(f5(a1,a3),a3,f2(a1,a1))),
% 111.74/111.86     inference(scs_inference,[],[22,1180,59,55,41,43,46,1206,49,24,23,1168,1172,1176,1184,1192,1191,38,1085,1073,1061,771,1038,1029,708,444,919,1118,729,326,71,961,87,16,17,32,27,33,36,37,34,28,29,35,30,26,2,9,3,14,10,12])).
% 111.74/111.86  cnf(1210,plain,
% 111.74/111.86     (E(x12101,f5(x12101,a3))),
% 111.74/111.86     inference(rename_variables,[],[43])).
% 111.74/111.86  cnf(1211,plain,
% 111.74/111.86     (P2(f4(x12111),f2(x12111,a1),a1)),
% 111.74/111.86     inference(scs_inference,[],[22,1180,59,55,41,43,46,1206,1208,49,24,23,1168,1172,1176,1184,1192,1191,38,1085,1073,1061,771,1038,1029,708,444,919,1118,729,326,71,961,87,16,17,32,27,33,36,37,34,28,29,35,30,26,2,9,3,14,10,12,13])).
% 111.74/111.86  cnf(1213,plain,
% 111.74/111.86     (~P1(f5(a1,a1),f2(a3,a1),f2(a6,a7))),
% 111.74/111.86     inference(scs_inference,[],[22,1180,59,55,41,43,1210,46,1206,1208,49,24,23,1168,1172,1176,1184,1192,1191,38,1085,1073,1061,771,1038,1029,708,444,919,1118,729,326,71,961,87,16,17,32,27,33,36,37,34,28,29,35,30,26,2,9,3,14,10,12,13,11])).
% 111.74/111.86  cnf(1218,plain,
% 111.74/111.86     (P2(f2(x12181,x12182),f2(f5(x12181,a3),f2(x12182,a3)),f2(x12181,x12182))),
% 111.74/111.86     inference(scs_inference,[],[23,55,1087,36])).
% 111.74/111.86  cnf(1221,plain,
% 111.74/111.86     (P1(x12211,x12212,f2(x12211,x12212))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(1223,plain,
% 111.74/111.86     (~P1(f2(a1,a1),f2(a1,a1),f4(f2(a6,a7)))),
% 111.74/111.86     inference(scs_inference,[],[23,55,1087,778,1129,403,36,37])).
% 111.74/111.86  cnf(1224,plain,
% 111.74/111.86     (~P2(f4(x12241),f2(x12241,x12241),f4(f2(a6,a7)))),
% 111.74/111.86     inference(rename_variables,[],[1129])).
% 111.74/111.86  cnf(1229,plain,
% 111.74/111.86     (P2(f2(x12291,a3),x12291,x12291)),
% 111.74/111.86     inference(rename_variables,[],[265])).
% 111.74/111.86  cnf(1231,plain,
% 111.74/111.86     (E(f2(x12311,a1),f5(a3,f2(x12311,x12311)))),
% 111.74/111.86     inference(scs_inference,[],[23,1221,55,38,1087,778,1129,232,772,265,403,17,36,37,34,28])).
% 111.74/111.86  cnf(1233,plain,
% 111.74/111.86     (P1(x12331,x12332,f2(x12331,x12332))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(1235,plain,
% 111.74/111.86     (~P1(a1,f2(a3,a3),f5(f2(a6,a7),a3))),
% 111.74/111.86     inference(scs_inference,[],[23,1221,55,59,38,1087,778,1129,232,772,628,265,1229,403,230,17,36,37,34,28,32])).
% 111.74/111.86  cnf(1239,plain,
% 111.74/111.86     (~P2(f2(x12391,x12391),f4(x12391),f4(f2(a6,a7)))),
% 111.74/111.86     inference(scs_inference,[],[23,1221,55,59,38,1087,778,1129,1224,232,772,628,265,1229,403,230,17,36,37,34,28,32,27])).
% 111.74/111.86  cnf(1241,plain,
% 111.74/111.86     (~P2(f2(a3,a1),f2(a3,a1),f2(a6,a7))),
% 111.74/111.86     inference(scs_inference,[],[23,1221,55,59,38,1087,778,1129,1224,232,772,1183,628,1064,265,1229,608,403,230,17,36,37,34,28,32,27,33])).
% 111.74/111.86  cnf(1243,plain,
% 111.74/111.86     (E(f5(f4(x12431),x12431),f2(a1,a1))),
% 111.74/111.86     inference(scs_inference,[],[23,1221,55,59,24,38,1205,1087,778,1129,1224,232,772,1183,628,1064,265,1229,608,403,230,17,36,37,34,28,32,27,33,29])).
% 111.74/111.86  cnf(1245,plain,
% 111.74/111.86     (P2(x12451,x12452,f5(x12451,x12452))),
% 111.74/111.86     inference(rename_variables,[],[24])).
% 111.74/111.86  cnf(1247,plain,
% 111.74/111.86     (P1(f5(a1,a1),a3,a3)),
% 111.74/111.86     inference(scs_inference,[],[23,1221,65,55,59,24,38,1205,1087,778,1129,1224,232,772,1183,628,1064,265,1229,608,403,230,17,36,37,34,28,32,27,33,29,26])).
% 111.74/111.86  cnf(1250,plain,
% 111.74/111.86     (P1(x12501,x12502,f2(x12501,x12502))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(1251,plain,
% 111.74/111.86     (P2(x12511,f2(x12511,a3),x12511)),
% 111.74/111.86     inference(rename_variables,[],[55])).
% 111.74/111.86  cnf(1254,plain,
% 111.74/111.86     (~P2(f2(a3,a1),f2(a3,a1),f5(f2(a6,a7),a3))),
% 111.74/111.86     inference(scs_inference,[],[23,1221,1233,1250,65,55,59,24,1245,38,1205,1087,778,1129,1224,1106,232,772,1183,628,928,1064,265,1229,608,403,230,16,17,36,37,34,28,32,27,33,29,26,31,30])).
% 111.74/111.86  cnf(1256,plain,
% 111.74/111.86     (P1(x12561,x12562,f2(x12561,x12562))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(1259,plain,
% 111.74/111.86     (~P1(f2(a3,a1),a6,f2(a6,a7))),
% 111.74/111.86     inference(scs_inference,[],[23,1221,1233,1250,1256,65,55,59,49,24,1245,38,1205,1087,778,1129,1224,1106,232,772,942,1183,628,928,1064,265,1229,608,403,230,16,17,36,37,34,28,32,27,33,29,26,31,30,35])).
% 111.74/111.86  cnf(1261,plain,
% 111.74/111.86     (P1(x12611,x12612,f2(x12611,x12612))),
% 111.74/111.86     inference(rename_variables,[],[23])).
% 111.74/111.86  cnf(1263,plain,
% 111.74/111.86     (P1(f2(x12631,a1),x12632,f2(x12631,x12632))),
% 111.74/111.86     inference(scs_inference,[],[23,1221,1233,1250,1256,1261,65,55,59,46,49,24,1245,38,1205,1087,778,1129,1224,1106,232,772,942,1183,628,928,1064,265,1229,608,403,230,16,17,36,37,34,28,32,27,33,29,26,31,30,35,9])).
% 111.74/111.86  cnf(1264,plain,
% 111.74/111.86     (E(x12641,f2(x12641,a1))),
% 111.74/111.86     inference(rename_variables,[],[46])).
% 111.74/111.86  cnf(1266,plain,
% 111.74/111.86     (P1(x12661,f2(x12662,a1),f2(x12661,x12662))),
% 111.74/111.86     inference(scs_inference,[],[23,1221,1233,1250,1256,1261,65,55,59,46,1264,49,24,1245,38,1205,1087,778,1129,1224,879,1106,232,772,942,1183,628,928,1064,265,1229,608,403,230,16,17,36,37,34,28,32,27,33,29,26,31,30,35,9,2,10])).
% 111.74/111.86  cnf(1267,plain,
% 111.74/111.86     (E(x12671,f2(x12671,a1))),
% 111.74/111.86     inference(rename_variables,[],[46])).
% 111.74/111.86  cnf(1268,plain,
% 111.74/111.86     (~E(f2(a3,f4(a3)),f2(a6,a7))),
% 111.74/111.86     inference(scs_inference,[],[23,1221,1233,1250,1256,1261,65,55,59,46,1264,49,24,1245,38,1205,1087,778,397,1129,1224,879,1106,232,772,942,1183,628,928,1064,265,1229,608,403,272,230,16,17,36,37,34,28,32,27,33,29,26,31,30,35,9,2,10,14])).
% 111.74/111.87  cnf(1269,plain,
% 111.74/111.87     (~E(f2(a6,a1),f5(f4(a7),f4(a7)))),
% 111.74/111.87     inference(scs_inference,[],[23,1221,1233,1250,1256,1261,65,55,59,46,1264,1267,49,24,1245,38,1205,1087,778,397,1129,1224,879,1106,954,232,772,942,1183,628,928,1064,265,1229,608,403,272,230,16,17,36,37,34,28,32,27,33,29,26,31,30,35,9,2,10,14,3])).
% 111.74/111.87  cnf(1270,plain,
% 111.74/111.87     (E(x12701,f2(x12701,a1))),
% 111.74/111.87     inference(rename_variables,[],[46])).
% 111.74/111.87  cnf(1271,plain,
% 111.74/111.87     (P2(f2(x12711,a1),f2(x12711,a3),x12711)),
% 111.74/111.87     inference(scs_inference,[],[23,1221,1233,1250,1256,1261,65,55,1251,59,46,1264,1267,1270,49,24,1245,38,1205,1087,778,397,1129,1224,879,1106,954,232,772,942,1183,628,928,1064,265,1229,608,403,272,230,16,17,36,37,34,28,32,27,33,29,26,31,30,35,9,2,10,14,3,12])).
% 111.74/111.87  cnf(1272,plain,
% 111.74/111.87     (E(x12721,f2(x12721,a1))),
% 111.74/111.87     inference(rename_variables,[],[46])).
% 111.74/111.87  cnf(1273,plain,
% 111.74/111.87     (P2(a1,f2(a3,a1),f2(a1,a1))),
% 111.74/111.87     inference(scs_inference,[],[23,1221,1233,1250,1256,1261,65,55,1251,59,46,1264,1267,1270,1272,49,24,1245,38,1205,1087,778,397,1129,1224,879,1106,954,232,772,942,1183,628,928,1064,265,1229,608,403,272,230,16,17,36,37,34,28,32,27,33,29,26,31,30,35,9,2,10,14,3,12,13])).
% 111.74/111.87  cnf(1274,plain,
% 111.74/111.87     (E(x12741,f2(x12741,a1))),
% 111.74/111.87     inference(rename_variables,[],[46])).
% 111.74/111.87  cnf(1275,plain,
% 111.74/111.87     (P1(x12751,x12752,f2(f2(x12751,x12752),a1))),
% 111.74/111.87     inference(scs_inference,[],[23,1221,1233,1250,1256,1261,65,55,1251,59,46,1264,1267,1270,1272,1274,49,24,1245,38,1205,1087,778,397,1129,1224,879,1106,954,232,772,942,1183,628,928,1064,265,1229,608,403,272,230,16,17,36,37,34,28,32,27,33,29,26,31,30,35,9,2,10,14,3,12,13,11])).
% 111.74/111.87  cnf(1277,plain,
% 111.74/111.87     (E(f5(x12771,f2(x12772,a1)),f5(x12771,x12772))),
% 111.74/111.87     inference(scs_inference,[],[23,1221,1233,1250,1256,1261,65,55,1251,59,46,1264,1267,1270,1272,1274,49,24,1245,38,1205,1087,778,397,1129,1224,879,1106,954,232,772,942,1183,628,928,1064,265,1229,608,403,826,272,230,16,17,36,37,34,28,32,27,33,29,26,31,30,35,9,2,10,14,3,12,13,11,8])).
% 111.74/111.87  cnf(1279,plain,
% 111.74/111.87     (P1(x12791,x12792,f2(x12791,x12792))),
% 111.74/111.87     inference(rename_variables,[],[23])).
% 111.74/111.87  cnf(1281,plain,
% 111.74/111.87     (~P2(f2(f5(a1,a3),a1),f2(a6,a3),f4(a7))),
% 111.74/111.87     inference(scs_inference,[],[23,55,1269,176,295,28,32])).
% 111.74/111.87  cnf(1283,plain,
% 111.74/111.87     (P1(x12831,f2(f5(a1,a3),a1),x12831)),
% 111.74/111.87     inference(rename_variables,[],[295])).
% 111.74/111.87  cnf(1284,plain,
% 111.74/111.87     (P2(x12841,f2(x12841,a3),x12841)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(1286,plain,
% 111.74/111.87     (P2(f2(f2(a3,a1),a3),f2(a3,a3),f2(a3,a3))),
% 111.74/111.87     inference(scs_inference,[],[23,55,1058,1269,176,295,28,32,27])).
% 111.74/111.87  cnf(1289,plain,
% 111.74/111.87     (P1(x12891,x12892,f2(x12891,x12892))),
% 111.74/111.87     inference(rename_variables,[],[23])).
% 111.74/111.87  cnf(1290,plain,
% 111.74/111.87     (P2(x12901,f2(x12901,a3),x12901)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(1293,plain,
% 111.74/111.87     (~P1(f5(a1,a1),f2(a3,a3),f2(a1,f2(a6,a7)))),
% 111.74/111.87     inference(scs_inference,[],[23,1279,55,1284,1290,1058,1269,1263,1259,1247,176,817,295,28,32,27,33,36])).
% 111.74/111.87  cnf(1294,plain,
% 111.74/111.87     (P2(x12941,f2(x12941,a3),x12941)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(1296,plain,
% 111.74/111.87     (~P2(f2(f5(a1,a3),a1),a6,f4(a7))),
% 111.74/111.87     inference(scs_inference,[],[23,1279,1289,55,1284,1290,1058,1269,1263,1259,1247,176,817,295,1283,16,28,32,27,33,36,37])).
% 111.74/111.87  cnf(1298,plain,
% 111.74/111.87     (P1(x12981,x12982,f2(x12981,x12982))),
% 111.74/111.87     inference(rename_variables,[],[23])).
% 111.74/111.87  cnf(1301,plain,
% 111.74/111.87     (P1(f2(a3,a1),x13011,f5(f2(a3,x13011),f2(a3,x13011)))),
% 111.74/111.87     inference(scs_inference,[],[23,1279,1289,1298,55,1284,1290,49,24,1058,1269,1263,1259,1247,176,817,295,1283,16,28,32,27,33,36,37,30])).
% 111.74/111.87  cnf(1303,plain,
% 111.74/111.87     (P1(x13031,x13032,f2(x13031,x13032))),
% 111.74/111.87     inference(rename_variables,[],[23])).
% 111.74/111.87  cnf(1304,plain,
% 111.74/111.87     (P2(x13041,x13042,f5(x13041,x13042))),
% 111.74/111.87     inference(rename_variables,[],[24])).
% 111.74/111.87  cnf(1306,plain,
% 111.74/111.87     (~P2(f2(a3,a1),f2(a3,f4(a3)),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[23,1279,1289,1298,55,1284,1290,49,24,1058,1269,1263,645,1268,1259,1247,176,817,295,1283,16,28,32,27,33,36,37,30,29])).
% 111.74/111.87  cnf(1309,plain,
% 111.74/111.87     (~P1(f2(a3,a1),f4(a3),f5(f2(a6,a7),a3))),
% 111.74/111.87     inference(scs_inference,[],[23,1279,1289,1298,55,1284,1290,49,24,1058,1269,1263,645,1045,1268,1259,1247,176,817,295,1283,16,28,32,27,33,36,37,30,29,26])).
% 111.74/111.87  cnf(1311,plain,
% 111.74/111.87     (P1(f5(a1,a1),f2(a1,a1),a1)),
% 111.74/111.87     inference(scs_inference,[],[23,1279,1289,1298,1303,55,1284,1290,1294,59,49,24,1304,1058,1269,1263,645,1045,1268,1259,1247,176,817,295,1283,16,28,32,27,33,36,37,30,29,26,31])).
% 111.74/111.87  cnf(1312,plain,
% 111.74/111.87     (P1(x13121,x13122,f2(x13121,x13122))),
% 111.74/111.87     inference(rename_variables,[],[23])).
% 111.74/111.87  cnf(1314,plain,
% 111.74/111.87     (P2(x13141,x13142,f5(x13141,x13142))),
% 111.74/111.87     inference(rename_variables,[],[24])).
% 111.74/111.87  cnf(1316,plain,
% 111.74/111.87     (~P1(f5(a7,f4(a3)),a6,a6)),
% 111.74/111.87     inference(scs_inference,[],[23,1279,1289,1298,1303,55,1284,1290,1294,59,49,24,1304,1314,38,1058,1269,1263,645,1045,1268,1259,1247,176,817,295,1283,495,87,16,28,32,27,33,36,37,30,29,26,31,35])).
% 111.74/111.87  cnf(1321,plain,
% 111.74/111.87     (~E(a6,f4(a7))),
% 111.74/111.87     inference(scs_inference,[],[23,1279,1289,1298,1303,1312,55,1284,1290,1294,59,49,24,1304,1314,38,1058,1269,1263,645,1045,1268,1259,1247,176,319,817,295,1283,495,87,16,28,32,27,33,36,37,30,29,26,31,35,9])).
% 111.74/111.87  cnf(1324,plain,
% 111.74/111.87     (P1(a3,f5(f5(a1,a1),a3),a3)),
% 111.74/111.87     inference(scs_inference,[],[23,1279,1289,1298,1303,1312,65,55,1284,1290,1294,59,43,49,24,1304,1314,38,1058,1269,1263,645,1045,1268,1259,1247,176,319,817,295,1283,495,87,16,28,32,27,33,36,37,30,29,26,31,35,9,10])).
% 111.74/111.87  cnf(1325,plain,
% 111.74/111.87     (E(x13251,f5(x13251,a3))),
% 111.74/111.87     inference(rename_variables,[],[43])).
% 111.74/111.87  cnf(1327,plain,
% 111.74/111.87     (E(f5(x13271,f2(x13271,a3)),x13271)),
% 111.74/111.87     inference(rename_variables,[],[1200])).
% 111.74/111.87  cnf(1328,plain,
% 111.74/111.87     (E(f5(x13281,f2(x13281,a3)),f5(x13281,a3))),
% 111.74/111.87     inference(scs_inference,[],[23,1279,1289,1298,1303,1312,65,55,1284,1290,1294,59,43,1325,49,24,1304,1314,38,1058,1200,1327,1269,1263,645,1045,1268,1259,1247,176,319,817,295,1283,495,87,16,28,32,27,33,36,37,30,29,26,31,35,9,10,14,3])).
% 111.74/111.87  cnf(1329,plain,
% 111.74/111.87     (E(f5(x13291,f2(x13291,a3)),x13291)),
% 111.74/111.87     inference(rename_variables,[],[1200])).
% 111.74/111.87  cnf(1330,plain,
% 111.74/111.87     (E(f5(x13301,f5(a3,a3)),x13301)),
% 111.74/111.87     inference(scs_inference,[],[23,1279,1289,1298,1303,1312,65,55,1284,1290,1294,59,43,1325,49,24,1304,1314,38,1203,1058,1200,1327,1269,1263,645,1045,1268,1259,1247,176,319,817,295,1283,495,87,16,28,32,27,33,36,37,30,29,26,31,35,9,10,14,3,2])).
% 111.74/111.87  cnf(1331,plain,
% 111.74/111.87     (P2(f5(x13311,a3),f2(f4(x13311),f4(x13311)),f2(a1,a1))),
% 111.74/111.87     inference(scs_inference,[],[23,1279,1289,1298,1303,1312,65,55,1284,1290,1294,59,43,1325,49,24,1304,1314,38,1203,933,1058,1200,1327,1269,1263,645,1045,1268,1259,1247,176,319,817,295,1283,495,87,16,28,32,27,33,36,37,30,29,26,31,35,9,10,14,3,2,12])).
% 111.74/111.87  cnf(1335,plain,
% 111.74/111.87     (P1(a3,f5(a1,a1),f5(a3,a3))),
% 111.74/111.87     inference(scs_inference,[],[23,1279,1289,1298,1303,1312,65,55,1284,1290,1294,59,43,1325,49,24,1304,1314,38,1203,933,1058,1200,1327,1329,1269,1263,645,1045,1268,1259,1247,176,319,817,295,1283,495,87,16,28,32,27,33,36,37,30,29,26,31,35,9,10,14,3,2,12,13,11])).
% 111.74/111.87  cnf(1342,plain,
% 111.74/111.87     (P2(x13421,x13422,f5(x13421,x13422))),
% 111.74/111.87     inference(rename_variables,[],[24])).
% 111.74/111.87  cnf(1343,plain,
% 111.74/111.87     (P2(x13431,x13432,f5(x13431,x13432))),
% 111.74/111.87     inference(rename_variables,[],[24])).
% 111.74/111.87  cnf(1346,plain,
% 111.74/111.87     (P2(x13461,x13462,f5(x13461,x13462))),
% 111.74/111.87     inference(rename_variables,[],[24])).
% 111.74/111.87  cnf(1352,plain,
% 111.74/111.87     (~P1(a6,f2(a7,a1),a3)),
% 111.74/111.87     inference(scs_inference,[],[24,1343,71,41,1266,989,713,1335,558,87,33,36,37,28])).
% 111.74/111.87  cnf(1355,plain,
% 111.74/111.87     (P1(f5(a1,x13551),f5(a1,x13551),f5(f5(a1,a3),x13551))),
% 111.74/111.87     inference(scs_inference,[],[24,1343,1346,1342,71,41,1266,989,713,1335,558,87,33,36,37,28,32])).
% 111.74/111.87  cnf(1357,plain,
% 111.74/111.87     (P2(x13571,x13572,f5(x13571,x13572))),
% 111.74/111.87     inference(rename_variables,[],[24])).
% 111.74/111.87  cnf(1358,plain,
% 111.74/111.87     (P2(x13581,x13582,f5(x13581,x13582))),
% 111.74/111.87     inference(rename_variables,[],[24])).
% 111.74/111.87  cnf(1360,plain,
% 111.74/111.87     (~P2(f2(a3,a1),f2(a1,a1),f4(f2(a6,a7)))),
% 111.74/111.87     inference(scs_inference,[],[24,1343,1346,1342,71,41,1266,1194,989,713,1335,558,87,33,36,37,28,32,27])).
% 111.74/111.87  cnf(1362,plain,
% 111.74/111.87     (P2(f5(a1,a3),f2(a1,a3),f5(a1,a3))),
% 111.74/111.87     inference(scs_inference,[],[24,1343,1346,1342,71,41,55,1266,1194,989,713,1335,558,87,33,36,37,28,32,27,34])).
% 111.74/111.87  cnf(1363,plain,
% 111.74/111.87     (P2(x13631,f2(x13631,a3),x13631)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(1365,plain,
% 111.74/111.87     (P1(f5(a1,a1),a1,f5(f5(a1,a3),f5(a1,a3)))),
% 111.74/111.87     inference(scs_inference,[],[24,1343,1346,1358,1357,1342,71,41,55,1266,1194,989,713,1335,558,87,33,36,37,28,32,27,34,30])).
% 111.74/111.87  cnf(1366,plain,
% 111.74/111.87     (P2(x13661,x13662,f5(x13661,x13662))),
% 111.74/111.87     inference(rename_variables,[],[24])).
% 111.74/111.87  cnf(1367,plain,
% 111.74/111.87     (P2(x13671,x13672,f5(x13671,x13672))),
% 111.74/111.87     inference(rename_variables,[],[24])).
% 111.74/111.87  cnf(1369,plain,
% 111.74/111.87     (~P1(f5(a3,a3),a6,f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[24,1343,1346,1358,1357,1342,71,41,55,38,1266,1194,989,713,1335,158,558,495,87,17,33,36,37,28,32,27,34,30,35])).
% 111.74/111.87  cnf(1374,plain,
% 111.74/111.87     (~P2(a3,f2(a3,a3),f5(f2(a6,a7),a3))),
% 111.74/111.87     inference(scs_inference,[],[24,1343,1346,1358,1357,1342,71,41,55,1363,38,762,1266,1194,989,713,1335,158,558,495,87,17,33,36,37,28,32,27,34,30,35,29])).
% 111.74/111.87  cnf(1377,plain,
% 111.74/111.87     (P1(f4(f5(a3,a3)),f2(a3,a1),f2(a3,a1))),
% 111.74/111.87     inference(scs_inference,[],[24,1343,1346,1358,1357,1342,71,41,55,1363,38,1126,762,1266,1194,989,713,1335,158,558,495,87,17,33,36,37,28,32,27,34,30,35,29,26])).
% 111.74/111.87  cnf(1379,plain,
% 111.74/111.87     (P1(f5(x13791,a1),f5(x13791,a1),f5(x13791,f5(a1,a3)))),
% 111.74/111.87     inference(scs_inference,[],[24,1343,1346,1358,1366,1357,1367,1342,71,41,55,1363,38,1126,762,1266,1194,989,713,1335,158,558,495,87,17,33,36,37,28,32,27,34,30,35,29,26,31])).
% 111.74/111.87  cnf(1382,plain,
% 111.74/111.87     (P2(x13821,x13822,f5(x13821,x13822))),
% 111.74/111.87     inference(rename_variables,[],[24])).
% 111.74/111.87  cnf(1384,plain,
% 111.74/111.87     (~P1(a1,f2(a1,a1),f4(f2(a6,a7)))),
% 111.74/111.87     inference(scs_inference,[],[24,1343,1346,1358,1366,1357,1367,1342,71,41,55,1363,46,38,1126,762,1266,1223,1194,989,713,1335,158,558,495,87,17,33,36,37,28,32,27,34,30,35,29,26,31,9])).
% 111.74/111.87  cnf(1385,plain,
% 111.74/111.87     (E(x13851,f2(x13851,a1))),
% 111.74/111.87     inference(rename_variables,[],[46])).
% 111.74/111.87  cnf(1386,plain,
% 111.74/111.87     (~P1(f2(a3,a1),a3,f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[24,1343,1346,1358,1366,1357,1367,1342,71,41,55,1363,46,1385,38,1126,762,1266,1223,1194,1175,989,713,1335,158,558,495,87,17,33,36,37,28,32,27,34,30,35,29,26,31,9,10])).
% 111.74/111.87  cnf(1387,plain,
% 111.74/111.87     (E(x13871,f2(x13871,a1))),
% 111.74/111.87     inference(rename_variables,[],[46])).
% 111.74/111.87  cnf(1388,plain,
% 111.74/111.87     (E(x13881,f2(x13881,f2(a1,a1)))),
% 111.74/111.87     inference(scs_inference,[],[24,1343,1346,1358,1366,1357,1367,1342,71,41,55,1363,46,1385,1387,38,1126,893,762,1266,1223,1194,1175,989,713,1335,158,558,495,87,17,33,36,37,28,32,27,34,30,35,29,26,31,9,10,3])).
% 111.74/111.87  cnf(1390,plain,
% 111.74/111.87     (~E(f2(a6,a7),f5(f4(a1),a3))),
% 111.74/111.87     inference(scs_inference,[],[24,1343,1346,1358,1366,1357,1367,1342,71,41,55,1363,46,1385,1387,38,1126,893,762,1266,1223,1194,1175,989,713,1081,1335,158,558,495,87,17,33,36,37,28,32,27,34,30,35,29,26,31,9,10,3,2])).
% 111.74/111.87  cnf(1391,plain,
% 111.74/111.87     (P2(x13911,x13912,f2(f5(x13911,x13912),a1))),
% 111.74/111.87     inference(scs_inference,[],[24,1343,1346,1358,1366,1382,1357,1367,1342,71,41,55,1363,46,1385,1387,38,1126,893,762,1266,1223,1194,1175,989,713,1081,1335,158,558,495,87,17,33,36,37,28,32,27,34,30,35,29,26,31,9,10,3,2,14])).
% 111.74/111.87  cnf(1392,plain,
% 111.74/111.87     (E(x13921,f2(x13921,a1))),
% 111.74/111.87     inference(rename_variables,[],[46])).
% 111.74/111.87  cnf(1394,plain,
% 111.74/111.87     (E(f5(x13941,f5(a3,a3)),x13941)),
% 111.74/111.87     inference(rename_variables,[],[1330])).
% 111.74/111.87  cnf(1395,plain,
% 111.74/111.87     (P2(x13951,f2(x13952,a1),f5(x13951,x13952))),
% 111.74/111.87     inference(scs_inference,[],[24,1343,1346,1358,1366,1382,1357,1367,1342,71,41,55,1363,46,1385,1387,1392,38,1330,1126,893,762,1266,1223,1194,1175,989,713,1081,1335,158,558,495,87,17,33,36,37,28,32,27,34,30,35,29,26,31,9,10,3,2,14,12,13])).
% 111.74/111.87  cnf(1397,plain,
% 111.74/111.87     (~P1(f2(a3,a1),f4(a3),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[24,1343,1346,1358,1366,1382,1357,1367,1342,71,41,55,1363,46,1385,1387,1392,43,38,1330,1126,893,762,1266,1223,1194,1309,1175,989,713,1081,1335,158,558,495,87,17,33,36,37,28,32,27,34,30,35,29,26,31,9,10,3,2,14,12,13,11])).
% 111.74/111.87  cnf(1399,plain,
% 111.74/111.87     (~P2(f5(a6,f5(a3,a3)),f2(a6,a7),a6)),
% 111.74/111.87     inference(scs_inference,[],[24,1343,1346,1358,1366,1382,1357,1367,1342,71,41,55,1363,46,1385,1387,1392,43,38,1330,1394,1126,893,762,1266,1223,1194,1309,1175,989,713,1081,1335,158,558,495,87,17,33,36,37,28,32,27,34,30,35,29,26,31,9,10,3,2,14,12,13,11,94])).
% 111.74/111.87  cnf(1401,plain,
% 111.74/111.87     (E(f2(f4(a3),x14011),f2(a1,x14011))),
% 111.74/111.87     inference(scs_inference,[],[24,1343,1346,1358,1366,1382,1357,1367,1342,71,41,55,1363,46,1385,1387,1392,43,38,1330,1394,1126,893,762,1266,1223,1194,1309,1175,989,713,1081,1335,158,558,681,495,87,17,33,36,37,28,32,27,34,30,35,29,26,31,9,10,3,2,14,12,13,11,94,5])).
% 111.74/111.87  cnf(1402,plain,
% 111.74/111.87     (E(f4(f4(a3)),f4(a1))),
% 111.74/111.87     inference(scs_inference,[],[24,1343,1346,1358,1366,1382,1357,1367,1342,71,41,55,1363,46,1385,1387,1392,43,38,1330,1394,1126,893,762,1266,1223,1194,1309,1175,989,713,1081,1335,158,558,681,495,87,17,33,36,37,28,32,27,34,30,35,29,26,31,9,10,3,2,14,12,13,11,94,5,4])).
% 111.74/111.87  cnf(1403,plain,
% 111.74/111.87     (E(f5(f4(a3),x14031),f5(a1,x14031))),
% 111.74/111.87     inference(scs_inference,[],[24,1343,1346,1358,1366,1382,1357,1367,1342,71,41,55,1363,46,1385,1387,1392,43,38,1330,1394,1126,893,762,1266,1223,1194,1309,1175,989,713,1081,1335,158,558,681,495,87,17,33,36,37,28,32,27,34,30,35,29,26,31,9,10,3,2,14,12,13,11,94,5,4,7])).
% 111.74/111.87  cnf(1404,plain,
% 111.74/111.87     (E(f2(x14041,f4(a3)),f2(x14041,a1))),
% 111.74/111.87     inference(scs_inference,[],[24,1343,1346,1358,1366,1382,1357,1367,1342,71,41,55,1363,46,1385,1387,1392,43,38,1330,1394,1126,893,762,1266,1223,1194,1309,1175,989,713,1081,1335,158,558,681,495,87,17,33,36,37,28,32,27,34,30,35,29,26,31,9,10,3,2,14,12,13,11,94,5,4,7,6])).
% 111.74/111.87  cnf(1405,plain,
% 111.74/111.87     (E(f5(a1,a3),f5(f2(a3,a3),a1))),
% 111.74/111.87     inference(scs_inference,[],[71,389,28])).
% 111.74/111.87  cnf(1409,plain,
% 111.74/111.87     (P2(x14091,x14092,f5(x14091,x14092))),
% 111.74/111.87     inference(rename_variables,[],[24])).
% 111.74/111.87  cnf(1411,plain,
% 111.74/111.87     (P2(x14111,f2(x14111,a3),x14111)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(1413,plain,
% 111.74/111.87     (P2(f2(a1,a3),f5(a1,a3),f5(a1,a3))),
% 111.74/111.87     inference(scs_inference,[],[24,65,71,55,1362,389,28,32,27])).
% 111.74/111.87  cnf(1417,plain,
% 111.74/111.87     (P2(x14171,x14172,f5(x14171,x14172))),
% 111.74/111.87     inference(rename_variables,[],[24])).
% 111.74/111.87  cnf(1418,plain,
% 111.74/111.87     (P1(x14181,f2(x14182,a1),f2(x14181,x14182))),
% 111.74/111.87     inference(rename_variables,[],[1266])).
% 111.74/111.87  cnf(1425,plain,
% 111.74/111.87     (~P1(f5(a1,a3),f5(a1,a3),f4(f2(a6,a7)))),
% 111.74/111.87     inference(scs_inference,[],[24,1409,1417,65,71,55,1411,38,1362,1395,1160,389,1266,1418,295,28,32,27,33,36,34])).
% 111.74/111.87  cnf(1427,plain,
% 111.74/111.87     (P2(x14271,x14272,f5(x14271,x14272))),
% 111.74/111.87     inference(rename_variables,[],[24])).
% 111.74/111.87  cnf(1429,plain,
% 111.74/111.87     (P1(f2(a3,a1),f5(a1,a1),f2(a3,a1))),
% 111.74/111.87     inference(scs_inference,[],[24,1409,1417,65,71,55,1411,49,38,1362,1395,1160,389,1266,1418,295,28,32,27,33,36,34,30])).
% 111.74/111.87  cnf(1431,plain,
% 111.74/111.87     (~P1(f2(a3,a3),f5(a1,a1),f2(a1,f2(a6,a7)))),
% 111.74/111.87     inference(scs_inference,[],[24,1409,1417,65,71,55,1411,49,38,1362,1293,1395,1160,389,1266,1418,295,28,32,27,33,36,34,30,26])).
% 111.74/111.87  cnf(1433,plain,
% 111.74/111.87     (~P2(f4(a7),f4(a7),f2(a6,a1))),
% 111.74/111.87     inference(scs_inference,[],[24,1409,1417,65,71,55,1411,49,38,1362,1293,1395,1160,389,154,1263,1266,1418,130,295,28,32,27,33,36,34,30,26,35])).
% 111.74/111.87  cnf(1438,plain,
% 111.74/111.87     (E(f5(f4(x14381),x14381),f4(a3))),
% 111.74/111.87     inference(scs_inference,[],[24,1409,1417,1427,65,71,55,1411,49,38,1362,1293,1395,802,1160,389,154,1263,1266,1418,130,295,28,32,27,33,36,34,30,26,35,29])).
% 111.74/111.87  cnf(1440,plain,
% 111.74/111.87     (P2(x14401,x14402,f5(x14401,x14402))),
% 111.74/111.87     inference(rename_variables,[],[24])).
% 111.74/111.87  cnf(1442,plain,
% 111.74/111.87     (~P2(a3,f2(f2(a3,a3),a1),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[24,1409,1417,1427,65,71,55,1411,49,38,1362,1293,1275,1395,802,1160,389,154,1263,1266,1418,1175,130,295,28,32,27,33,36,34,30,26,35,29,31])).
% 111.74/111.87  cnf(1445,plain,
% 111.74/111.87     (P1(f2(a3,a1),f5(a1,a1),a3)),
% 111.74/111.87     inference(scs_inference,[],[24,1409,1417,1427,65,71,55,1411,46,49,38,1362,1293,1275,1395,802,1160,389,154,1263,1266,1418,1175,130,295,28,32,27,33,36,34,30,26,35,29,31,9])).
% 111.74/111.87  cnf(1446,plain,
% 111.74/111.87     (E(x14461,f2(x14461,a1))),
% 111.74/111.87     inference(rename_variables,[],[46])).
% 111.74/111.87  cnf(1447,plain,
% 111.74/111.87     (~E(f2(a6,a1),f5(f5(a6,a3),f2(a6,a7)))),
% 111.74/111.87     inference(scs_inference,[],[24,1409,1417,1427,65,71,55,1411,46,1446,49,38,1362,1293,1275,1395,802,1160,1018,389,154,1263,1266,1418,1175,130,295,28,32,27,33,36,34,30,26,35,29,31,9,3])).
% 111.74/111.87  cnf(1448,plain,
% 111.74/111.87     (E(x14481,f2(x14481,a1))),
% 111.74/111.87     inference(rename_variables,[],[46])).
% 111.74/111.87  cnf(1449,plain,
% 111.74/111.87     (E(f2(x14491,f2(a1,a1)),x14491)),
% 111.74/111.87     inference(scs_inference,[],[24,1409,1417,1427,65,71,55,1411,46,1446,49,38,1388,1362,1293,1275,1395,802,1160,1018,389,154,1263,1266,1418,1175,130,295,28,32,27,33,36,34,30,26,35,29,31,9,3,2])).
% 111.74/111.87  cnf(1450,plain,
% 111.74/111.87     (P1(a3,f2(f5(a1,a1),a1),a3)),
% 111.74/111.87     inference(scs_inference,[],[24,1409,1417,1427,65,71,55,1411,46,1446,1448,49,38,1388,1362,1293,1275,1395,802,1160,1018,389,154,1263,1266,1418,1175,130,295,28,32,27,33,36,34,30,26,35,29,31,9,3,2,10])).
% 111.74/111.87  cnf(1451,plain,
% 111.74/111.87     (E(x14511,f2(x14511,a1))),
% 111.74/111.87     inference(rename_variables,[],[46])).
% 111.74/111.87  cnf(1452,plain,
% 111.74/111.87     (P2(f5(a1,a3),f2(a1,a3),f2(f5(a1,a3),a1))),
% 111.74/111.87     inference(scs_inference,[],[24,1409,1417,1427,65,71,55,1411,46,1446,1448,1451,49,38,1388,1362,1293,1275,1395,802,1160,1018,389,154,1263,1266,1418,1175,130,295,28,32,27,33,36,34,30,26,35,29,31,9,3,2,10,14])).
% 111.74/111.87  cnf(1453,plain,
% 111.74/111.87     (E(x14531,f2(x14531,a1))),
% 111.74/111.87     inference(rename_variables,[],[46])).
% 111.74/111.87  cnf(1454,plain,
% 111.74/111.87     (P2(f2(x14541,a1),x14542,f5(x14541,x14542))),
% 111.74/111.87     inference(scs_inference,[],[24,1409,1417,1427,1440,65,71,55,1411,46,1446,1448,1451,1453,49,38,1388,1362,1293,1275,1395,802,1160,1018,389,154,1263,1266,1418,1175,130,295,28,32,27,33,36,34,30,26,35,29,31,9,3,2,10,14,12])).
% 111.74/111.87  cnf(1455,plain,
% 111.74/111.87     (E(x14551,f2(x14551,a1))),
% 111.74/111.87     inference(rename_variables,[],[46])).
% 111.74/111.87  cnf(1456,plain,
% 111.74/111.87     (~E(f2(a6,a7),f2(a6,a3))),
% 111.74/111.87     inference(scs_inference,[],[24,1409,1417,1427,1440,65,71,55,1411,46,1446,1448,1451,1453,49,38,1388,1362,1293,1001,1275,1395,802,1160,1018,389,154,1263,1266,1418,1175,130,295,28,32,27,33,36,34,30,26,35,29,31,9,3,2,10,14,12,13])).
% 111.74/111.87  cnf(1458,plain,
% 111.74/111.87     (P1(a3,f5(a1,a1),f2(a3,a1))),
% 111.74/111.87     inference(scs_inference,[],[24,1409,1417,1427,1440,65,71,55,1411,46,1446,1448,1451,1453,1455,49,38,1388,1362,1293,1001,1275,1395,802,1160,1018,389,154,1263,1266,1418,1175,130,295,28,32,27,33,36,34,30,26,35,29,31,9,3,2,10,14,12,13,11])).
% 111.74/111.87  cnf(1460,plain,
% 111.74/111.87     (~E(a7,a3)),
% 111.74/111.87     inference(scs_inference,[],[24,1409,1417,1427,1440,65,71,55,1411,46,1446,1448,1451,1453,1455,49,38,1388,1362,1293,1001,1275,1395,802,1160,1018,389,154,1263,1266,1418,1175,130,295,28,32,27,33,36,34,30,26,35,29,31,9,3,2,10,14,12,13,11,6])).
% 111.74/111.87  cnf(1466,plain,
% 111.74/111.87     (E(f2(x14661,a1),f2(x14661,f4(a3)))),
% 111.74/111.87     inference(scs_inference,[],[268,6])).
% 111.74/111.87  cnf(1474,plain,
% 111.74/111.87     (P1(x14741,f4(x14741),f5(a3,a3))),
% 111.74/111.87     inference(rename_variables,[],[217])).
% 111.74/111.87  cnf(1475,plain,
% 111.74/111.87     (P1(a1,x14751,x14751)),
% 111.74/111.87     inference(rename_variables,[],[17])).
% 111.74/111.87  cnf(1477,plain,
% 111.74/111.87     (~P1(f2(a1,a1),f5(a6,f2(a6,a7)),f5(a6,a3))),
% 111.74/111.87     inference(scs_inference,[],[59,1391,1165,412,1145,217,506,493,268,16,17,1475,6,36,37,34])).
% 111.74/111.87  cnf(1478,plain,
% 111.74/111.87     (P2(x14781,a3,x14781)),
% 111.74/111.87     inference(rename_variables,[],[16])).
% 111.74/111.87  cnf(1481,plain,
% 111.74/111.87     (~P1(a3,f5(a1,a1),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[41,65,59,1391,1165,412,1145,217,506,493,268,16,17,1475,6,36,37,34,28])).
% 111.74/111.87  cnf(1483,plain,
% 111.74/111.87     (~P2(f2(a1,a1),a3,f4(f2(a6,a7)))),
% 111.74/111.87     inference(scs_inference,[],[41,65,59,1391,1165,412,1145,217,506,1223,493,1266,268,16,1478,17,1475,6,36,37,34,28,32])).
% 111.74/111.87  cnf(1487,plain,
% 111.74/111.87     (~P2(f2(f2(a6,a7),a3),f2(a6,a7),a3)),
% 111.74/111.87     inference(scs_inference,[],[41,65,59,1391,1165,1186,412,1145,217,506,1223,493,1266,268,16,1478,17,1475,6,36,37,34,28,32,27])).
% 111.74/111.87  cnf(1493,plain,
% 111.74/111.87     (P1(f5(a1,a1),f2(a3,a1),f2(a3,a1))),
% 111.74/111.87     inference(scs_inference,[],[41,65,59,1429,1391,1165,1186,874,1397,887,412,1145,217,1474,506,1223,493,1266,268,16,1478,17,1475,6,36,37,34,28,32,27,30,26])).
% 111.74/111.87  cnf(1495,plain,
% 111.74/111.87     (~P2(f2(a1,a3),f5(a1,a3),f4(f2(a6,a7)))),
% 111.74/111.87     inference(scs_inference,[],[41,65,59,1429,1413,1391,1165,1186,874,1397,887,412,1145,217,1474,506,1223,879,493,1266,268,16,1478,17,1475,6,36,37,34,28,32,27,30,26,29])).
% 111.74/111.87  cnf(1497,plain,
% 111.74/111.87     (E(f2(x14971,f2(a1,a1)),f5(x14971,a3))),
% 111.74/111.87     inference(scs_inference,[],[41,65,59,43,1449,1429,1413,1391,1165,1186,874,1397,887,412,1145,217,1474,506,1223,879,493,1266,268,16,1478,17,1475,6,36,37,34,28,32,27,30,26,29,3])).
% 111.74/111.87  cnf(1498,plain,
% 111.74/111.87     (E(f2(x14981,f2(a1,a1)),x14981)),
% 111.74/111.87     inference(rename_variables,[],[1449])).
% 111.74/111.87  cnf(1499,plain,
% 111.74/111.87     (P1(f5(x14991,a3),x14991,f5(x14991,f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[77,41,65,59,43,1449,1429,1413,1391,1165,1186,874,1397,887,412,1145,217,1474,506,1223,879,493,1266,268,16,1478,17,1475,6,36,37,34,28,32,27,30,26,29,3,9])).
% 111.74/111.87  cnf(1500,plain,
% 111.74/111.87     (P1(x15001,x15001,f5(x15001,f2(a3,a3)))),
% 111.74/111.87     inference(rename_variables,[],[77])).
% 111.74/111.87  cnf(1501,plain,
% 111.74/111.87     (P1(x15011,f5(x15011,a3),f5(x15011,f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[77,1500,41,65,59,43,1449,1429,1413,1391,1165,1186,874,1397,887,412,1145,217,1474,506,1223,879,493,1266,268,16,1478,17,1475,6,36,37,34,28,32,27,30,26,29,3,9,10])).
% 111.74/111.87  cnf(1502,plain,
% 111.74/111.87     (P1(x15021,x15021,f5(x15021,f2(a3,a3)))),
% 111.74/111.87     inference(rename_variables,[],[77])).
% 111.74/111.87  cnf(1504,plain,
% 111.74/111.87     (E(f2(x15041,f2(a1,a1)),x15041)),
% 111.74/111.87     inference(rename_variables,[],[1449])).
% 111.74/111.87  cnf(1505,plain,
% 111.74/111.87     (~E(f5(f5(a6,a3),f2(a6,a7)),f2(a6,a1))),
% 111.74/111.87     inference(scs_inference,[],[38,77,1500,41,65,59,43,1449,1498,1429,1413,1447,1391,1165,1186,874,1397,887,412,1145,217,1474,506,1223,879,493,1266,268,16,1478,17,1475,6,36,37,34,28,32,27,30,26,29,3,9,10,14,2])).
% 111.74/111.87  cnf(1506,plain,
% 111.74/111.87     (P2(f5(f2(a1,a3),a3),f5(a1,a3),f5(a1,a3))),
% 111.74/111.87     inference(scs_inference,[],[38,77,1500,41,65,59,43,1449,1498,1429,1413,1447,1391,1165,1186,874,1397,887,412,1145,217,1474,506,1223,879,493,1266,268,16,1478,17,1475,6,36,37,34,28,32,27,30,26,29,3,9,10,14,2,12])).
% 111.74/111.87  cnf(1510,plain,
% 111.74/111.87     (~E(f5(f2(a3,a3),f2(a3,a3)),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[38,77,1500,41,65,59,43,1449,1498,1504,1429,1413,685,1447,1391,1165,1186,874,1397,887,412,1145,217,1474,506,1223,879,493,1266,1175,268,16,1478,17,1475,6,36,37,34,28,32,27,30,26,29,3,9,10,14,2,12,13,11])).
% 111.74/111.87  cnf(1511,plain,
% 111.74/111.87     (E(f5(x15111,f2(a1,x15112)),f5(x15111,x15112))),
% 111.74/111.87     inference(scs_inference,[],[38,77,1500,41,65,59,43,1449,1498,1504,1429,1413,685,1447,1391,1165,1186,874,1397,887,412,1145,217,1474,506,1223,879,493,1266,1175,268,557,16,1478,17,1475,6,36,37,34,28,32,27,30,26,29,3,9,10,14,2,12,13,11,8])).
% 111.74/111.87  cnf(1516,plain,
% 111.74/111.87     (~P2(a1,a1,a1)+P2(f5(a1,a3),f5(a1,a3),f5(a1,a3))),
% 111.74/111.87     inference(scs_inference,[],[38,77,1500,1502,41,71,65,59,55,43,1449,1498,1504,1429,1413,685,1447,1391,1165,1186,874,689,1397,887,412,1145,217,1474,506,1223,879,493,1266,1175,268,557,16,1478,17,1475,6,36,37,34,28,32,27,30,26,29,3,9,10,14,2,12,13,11,8,31,35])).
% 111.74/111.87  cnf(1518,plain,
% 111.74/111.87     (~P2(f5(a3,f2(a3,a3)),a3,f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[77,1481,1324,635,33])).
% 111.74/111.87  cnf(1519,plain,
% 111.74/111.87     (P1(x15191,x15191,f5(x15191,f2(a3,a3)))),
% 111.74/111.87     inference(rename_variables,[],[77])).
% 111.74/111.87  cnf(1522,plain,
% 111.74/111.87     (~P1(f2(a6,a1),a7,a3)),
% 111.74/111.87     inference(scs_inference,[],[77,41,1481,1324,635,1263,33,28])).
% 111.74/111.87  cnf(1525,plain,
% 111.74/111.87     (~P1(f2(a1,a1),f5(a1,a3),f4(f2(a6,a7)))),
% 111.74/111.87     inference(scs_inference,[],[77,41,59,1454,1483,1481,1324,635,1263,1266,33,28,34])).
% 111.74/111.87  cnf(1527,plain,
% 111.74/111.87     (P2(f2(x15271,a1),x15272,f5(x15271,x15272))),
% 111.74/111.87     inference(rename_variables,[],[1454])).
% 111.74/111.87  cnf(1533,plain,
% 111.74/111.87     (P2(f2(a1,a3),f5(a1,a3),f2(f5(a1,a3),a1))),
% 111.74/111.87     inference(scs_inference,[],[77,41,59,1452,1477,1454,1273,1483,1481,1324,1395,635,1263,1266,17,33,28,34,32,27])).
% 111.74/111.87  cnf(1535,plain,
% 111.74/111.87     (P2(f2(a3,a1),f5(a3,f2(a3,a3)),f2(a3,a1))),
% 111.74/111.87     inference(scs_inference,[],[77,1519,41,59,1452,1477,1454,1273,1483,1481,1324,889,1395,802,635,1263,1266,17,33,28,34,32,27,35])).
% 111.74/111.87  cnf(1540,plain,
% 111.74/111.87     (~P1(f5(a6,f2(a6,a7)),f2(a1,a1),f5(a6,a3))),
% 111.74/111.87     inference(scs_inference,[],[77,1519,41,59,1452,1477,1454,1273,1483,1481,1324,889,1395,802,635,1263,1266,17,33,28,34,32,27,35,26])).
% 111.74/111.87  cnf(1547,plain,
% 111.74/111.87     (~P2(f2(a6,a3),f2(f2(a6,a3),a3),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[77,1519,41,59,55,1452,1477,1454,1527,1456,1273,765,1483,1481,1324,889,1247,1395,802,635,1263,1266,17,33,28,34,32,27,35,26,31,29])).
% 111.74/111.87  cnf(1550,plain,
% 111.74/111.87     (E(x15501,f2(f2(x15501,a1),a1))),
% 111.74/111.87     inference(scs_inference,[],[77,1519,41,59,55,46,1452,894,1477,1454,1527,1456,1273,765,1483,1481,1324,889,1247,1395,802,635,1263,1266,17,33,28,34,32,27,35,26,31,29,3])).
% 111.74/111.87  cnf(1552,plain,
% 111.74/111.87     (~P1(f5(a1,a3),a1,f4(f2(a6,a7)))),
% 111.74/111.87     inference(scs_inference,[],[77,1519,41,59,55,46,43,1452,894,1477,1454,1527,1425,1456,1273,765,1483,1481,1324,889,1247,1395,802,635,1263,1266,17,33,28,34,32,27,35,26,31,29,3,10])).
% 111.74/111.87  cnf(1553,plain,
% 111.74/111.87     (E(x15531,f5(x15531,a3))),
% 111.74/111.87     inference(rename_variables,[],[43])).
% 111.74/111.87  cnf(1554,plain,
% 111.74/111.87     (E(f2(a1,a1),f5(f4(x15541),x15541))),
% 111.74/111.87     inference(scs_inference,[],[77,1519,41,59,55,46,43,1243,1452,894,1477,1454,1527,1425,1456,1273,765,1483,1481,1324,889,1247,1395,802,635,1263,1266,17,33,28,34,32,27,35,26,31,29,3,10,2])).
% 111.74/111.87  cnf(1556,plain,
% 111.74/111.87     (E(x15561,f2(x15561,a1))),
% 111.74/111.87     inference(rename_variables,[],[46])).
% 111.74/111.87  cnf(1557,plain,
% 111.74/111.87     (P2(a1,a3,f2(f2(a1,a1),a1))),
% 111.74/111.87     inference(scs_inference,[],[77,1519,41,59,55,46,1556,43,1243,1452,894,1477,1454,1527,1425,1456,1273,765,1483,1481,1324,889,1247,1395,802,635,1263,1266,17,33,28,34,32,27,35,26,31,29,3,10,2,9,14])).
% 111.74/111.87  cnf(1560,plain,
% 111.74/111.87     (E(f2(f5(x15601,a3),x15602),f2(x15601,x15602))),
% 111.74/111.87     inference(rename_variables,[],[1077])).
% 111.74/111.87  cnf(1561,plain,
% 111.74/111.87     (P2(a1,f5(a3,a3),f2(a1,a1))),
% 111.74/111.87     inference(scs_inference,[],[38,77,1519,41,59,55,46,1556,43,1553,1243,1452,894,1077,1477,1454,1527,1425,1456,1273,765,1483,1481,1324,889,1247,1395,802,635,1263,1266,17,33,28,34,32,27,35,26,31,29,3,10,2,9,14,12,13])).
% 111.74/111.87  cnf(1563,plain,
% 111.74/111.87     (~P1(f2(a3,a3),f5(a1,a1),f2(f5(a1,a3),f2(a6,a7)))),
% 111.74/111.87     inference(scs_inference,[],[38,77,1519,41,59,55,46,1556,43,1553,1243,1431,1452,894,1077,1560,1477,1454,1527,1425,1456,1273,765,1483,1481,1324,889,1247,1395,802,635,1263,1266,17,33,28,34,32,27,35,26,31,29,3,10,2,9,14,12,13,11])).
% 111.74/111.87  cnf(1567,plain,
% 111.74/111.87     (~P2(a3,a3,f2(a1,f2(a6,a7)))),
% 111.74/111.87     inference(scs_inference,[],[38,77,1519,41,65,59,55,46,1556,43,1553,1243,1431,1452,894,1077,1560,1477,1454,1527,1425,1456,1273,1311,765,1483,1481,1324,889,1247,1395,802,635,1263,608,1266,17,33,28,34,32,27,35,26,31,29,3,10,2,9,14,12,13,11,36,30])).
% 111.74/111.87  cnf(1572,plain,
% 111.74/111.87     (~P2(f5(a1,a3),f2(a1,a3),f4(f2(a6,a7)))),
% 111.74/111.87     inference(scs_inference,[],[1495,27])).
% 111.74/111.87  cnf(1574,plain,
% 111.74/111.87     (E(f5(f4(a3),f2(a3,a3)),f4(a3))),
% 111.74/111.87     inference(scs_inference,[],[77,1495,495,27,28])).
% 111.74/111.87  cnf(1576,plain,
% 111.74/111.87     (P1(x15761,x15761,f5(x15761,f2(a3,a3)))),
% 111.74/111.87     inference(rename_variables,[],[77])).
% 111.74/111.87  cnf(1581,plain,
% 111.74/111.87     (~P2(a3,f5(f4(a1),f2(a3,a3)),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[77,1576,1495,756,881,964,1567,277,107,495,27,28,36,30])).
% 111.74/111.87  cnf(1583,plain,
% 111.74/111.87     (P1(x15831,x15831,f5(x15831,f2(a3,a3)))),
% 111.74/111.87     inference(rename_variables,[],[77])).
% 111.74/111.87  cnf(1587,plain,
% 111.74/111.87     (~P1(f5(a3,a3),a1,f5(f2(a6,a7),a3))),
% 111.74/111.87     inference(scs_inference,[],[77,1576,55,1495,1374,756,881,964,1567,277,102,288,107,495,27,28,36,30,35])).
% 111.74/111.87  cnf(1589,plain,
% 111.74/111.87     (P2(x15891,f2(x15891,a3),x15891)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(1591,plain,
% 111.74/111.87     (P1(a1,f5(a3,a1),f5(a1,f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[81,77,1576,55,1495,1374,756,881,964,1567,277,102,288,107,495,27,28,36,30,35,26])).
% 111.74/111.87  cnf(1593,plain,
% 111.74/111.87     (E(a3,f2(a3,a3))),
% 111.74/111.87     inference(scs_inference,[],[81,77,1576,55,1589,1495,1374,756,881,964,1567,277,393,102,288,107,495,27,28,36,30,35,26,29])).
% 111.74/111.87  cnf(1595,plain,
% 111.74/111.87     (P2(x15951,f2(x15951,a3),x15951)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(1597,plain,
% 111.74/111.87     (P1(f5(a3,a1),f2(a1,a1),f5(a1,f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[81,77,1576,55,1589,46,1495,1374,756,881,964,1567,277,393,102,288,107,495,27,28,36,30,35,26,29,10])).
% 111.74/111.87  cnf(1598,plain,
% 111.74/111.87     (E(x15981,f2(x15981,a1))),
% 111.74/111.87     inference(rename_variables,[],[46])).
% 111.74/111.87  cnf(1599,plain,
% 111.74/111.87     (~E(f2(a7,a1),a3)),
% 111.74/111.87     inference(scs_inference,[],[81,77,1576,55,1589,46,1598,1495,1460,1374,756,881,964,1567,277,393,102,288,107,495,27,28,36,30,35,26,29,10,3])).
% 111.74/111.87  cnf(1601,plain,
% 111.74/111.87     (P1(f2(a1,a3),f5(a3,a3),f5(f5(a3,a3),f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[81,77,1576,1583,55,1589,46,1598,1495,1460,1374,756,881,964,1567,277,393,554,102,288,107,495,27,28,36,30,35,26,29,10,3,9])).
% 111.74/111.87  cnf(1603,plain,
% 111.74/111.87     (~E(a3,a7)),
% 111.74/111.87     inference(scs_inference,[],[81,77,1576,1583,55,1589,46,1598,1495,1460,1374,756,881,964,1567,277,393,554,102,288,107,495,27,28,36,30,35,26,29,10,3,9,2])).
% 111.74/111.87  cnf(1604,plain,
% 111.74/111.87     (~E(f2(a6,a3),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[81,77,1576,1583,55,1589,1595,46,1598,1495,1460,1547,1374,756,881,964,1567,277,393,554,102,288,107,495,27,28,36,30,35,26,29,10,3,9,2,14])).
% 111.74/111.87  cnf(1605,plain,
% 111.74/111.87     (P2(x16051,f2(x16051,a3),x16051)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(1606,plain,
% 111.74/111.87     (P2(f2(f2(a1,a1),a1),a3,f2(a1,a1))),
% 111.74/111.87     inference(scs_inference,[],[81,77,1576,1583,59,55,1589,1595,46,1598,1495,1460,1550,1547,1374,756,881,964,1567,277,393,554,102,288,107,495,27,28,36,30,35,26,29,10,3,9,2,14,12])).
% 111.74/111.87  cnf(1610,plain,
% 111.74/111.87     (P1(f2(a1,a1),f2(a1,a1),f5(f4(x16101),x16101))),
% 111.74/111.87     inference(scs_inference,[],[81,77,1576,1583,59,55,1589,1595,1605,46,1598,1554,1495,1460,1550,1547,1374,756,881,964,1567,277,393,552,554,102,288,107,403,495,27,28,36,30,35,26,29,10,3,9,2,14,12,13,11])).
% 111.74/111.87  cnf(1611,plain,
% 111.74/111.87     (~P2(f2(a6,f2(a1,a1)),f2(a6,a7),a6)),
% 111.74/111.87     inference(scs_inference,[],[81,77,1576,1583,59,55,1589,1595,1605,46,1598,1554,1495,1460,1550,1547,1374,756,881,964,1567,1449,277,393,552,554,102,288,107,403,495,27,28,36,30,35,26,29,10,3,9,2,14,12,13,11,94])).
% 111.74/111.87  cnf(1613,plain,
% 111.74/111.87     (E(f2(f2(x16131,a1),x16132),f2(x16131,x16132))),
% 111.74/111.87     inference(scs_inference,[],[81,77,1576,1583,59,55,1589,1595,1605,46,1598,1554,1495,1460,1550,1547,1374,756,881,964,1567,1449,277,393,552,554,102,288,107,403,826,495,27,28,36,30,35,26,29,10,3,9,2,14,12,13,11,94,5])).
% 111.74/111.87  cnf(1614,plain,
% 111.74/111.87     (E(f4(f2(x16141,a1)),f4(x16141))),
% 111.74/111.87     inference(scs_inference,[],[81,77,1576,1583,59,55,1589,1595,1605,46,1598,1554,1495,1460,1550,1547,1374,756,881,964,1567,1449,277,393,552,554,102,288,107,403,826,495,27,28,36,30,35,26,29,10,3,9,2,14,12,13,11,94,5,4])).
% 111.74/111.87  cnf(1615,plain,
% 111.74/111.87     (E(f5(f2(x16151,a1),x16152),f5(x16151,x16152))),
% 111.74/111.87     inference(scs_inference,[],[81,77,1576,1583,59,55,1589,1595,1605,46,1598,1554,1495,1460,1550,1547,1374,756,881,964,1567,1449,277,393,552,554,102,288,107,403,826,495,27,28,36,30,35,26,29,10,3,9,2,14,12,13,11,94,5,4,7])).
% 111.74/111.87  cnf(1629,plain,
% 111.74/111.87     (P2(f5(a3,a3),f2(a1,a3),f5(a3,a3))),
% 111.74/111.87     inference(scs_inference,[],[55,100,626,34])).
% 111.74/111.87  cnf(1630,plain,
% 111.74/111.87     (P2(x16301,f2(x16301,a3),x16301)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(1633,plain,
% 111.74/111.87     (P1(f5(f4(a3),f5(a3,a3)),f2(a3,a1),f2(a3,a1))),
% 111.74/111.87     inference(scs_inference,[],[55,374,435,100,626,660,34,32])).
% 111.74/111.87  cnf(1638,plain,
% 111.74/111.87     (P2(f5(a3,f2(a3,a3)),f2(a3,a1),f2(a3,a1))),
% 111.74/111.87     inference(scs_inference,[],[55,1535,374,435,100,626,660,34,32,27])).
% 111.74/111.87  cnf(1640,plain,
% 111.74/111.87     (~P1(f2(a3,a3),f2(a3,a3),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[77,55,1535,1510,374,435,100,626,660,34,32,27,28])).
% 111.74/111.87  cnf(1641,plain,
% 111.74/111.87     (P1(x16411,x16411,f5(x16411,f2(a3,a3)))),
% 111.74/111.87     inference(rename_variables,[],[77])).
% 111.74/111.87  cnf(1643,plain,
% 111.74/111.87     (P2(a1,f5(f2(a1,a3),f2(a3,a3)),f5(a1,a3))),
% 111.74/111.87     inference(scs_inference,[],[77,1641,71,55,1630,1535,1510,374,435,100,626,660,34,32,27,28,37])).
% 111.74/111.87  cnf(1646,plain,
% 111.74/111.87     (P1(x16461,x16461,f5(x16461,f2(a3,a3)))),
% 111.74/111.87     inference(rename_variables,[],[77])).
% 111.74/111.87  cnf(1649,plain,
% 111.74/111.87     (P1(x16491,x16491,f5(x16491,f2(a3,a3)))),
% 111.74/111.87     inference(rename_variables,[],[77])).
% 111.74/111.87  cnf(1658,plain,
% 111.74/111.87     (~P2(f2(a3,a1),f5(a3,f2(a3,a3)),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[77,1641,1646,71,59,55,1630,1535,1254,1563,1136,1510,374,435,1014,498,831,100,626,660,87,34,32,27,28,37,30,35,26,29])).
% 111.74/111.87  cnf(1660,plain,
% 111.74/111.87     (P1(x16601,f2(x16601,a1),f5(x16601,f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[77,1641,1646,1649,71,59,55,1630,46,1535,1254,1563,1136,1510,374,435,1014,498,831,100,626,660,87,34,32,27,28,37,30,35,26,29,10])).
% 111.74/111.87  cnf(1661,plain,
% 111.74/111.87     (P1(x16611,x16611,f5(x16611,f2(a3,a3)))),
% 111.74/111.87     inference(rename_variables,[],[77])).
% 111.74/111.87  cnf(1662,plain,
% 111.74/111.87     (E(a3,f2(f2(a3,a3),a1))),
% 111.74/111.87     inference(scs_inference,[],[77,1641,1646,1649,71,59,55,1630,46,1535,1254,1563,1136,1510,374,435,1593,1014,498,831,100,626,660,87,34,32,27,28,37,30,35,26,29,10,3])).
% 111.74/111.87  cnf(1663,plain,
% 111.74/111.87     (E(x16631,f2(x16631,a1))),
% 111.74/111.87     inference(rename_variables,[],[46])).
% 111.74/111.87  cnf(1664,plain,
% 111.74/111.87     (E(f2(f2(a1,x16641),x16642),f2(x16641,x16642))),
% 111.74/111.87     inference(scs_inference,[],[77,1641,1646,1649,71,59,55,1630,46,1535,1254,1153,1563,1136,1510,374,435,1593,1014,498,831,100,626,660,87,34,32,27,28,37,30,35,26,29,10,3,2])).
% 111.74/111.87  cnf(1665,plain,
% 111.74/111.87     (P1(f2(x16651,a1),x16651,f5(x16651,f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[77,1641,1646,1649,1661,71,59,55,1630,46,1663,1535,1254,1153,1563,1136,1510,374,435,1593,1014,498,831,100,626,660,87,34,32,27,28,37,30,35,26,29,10,3,2,9])).
% 111.74/111.87  cnf(1667,plain,
% 111.74/111.87     (~P2(f5(a6,a3),f5(a6,a3),f4(f2(a7,a1)))),
% 111.74/111.87     inference(scs_inference,[],[77,1641,1646,1649,1661,71,59,55,1630,46,1663,1535,1254,1153,1563,1614,1136,1006,1510,374,435,1593,1014,498,831,100,626,660,87,34,32,27,28,37,30,35,26,29,10,3,2,9,14])).
% 111.74/111.87  cnf(1669,plain,
% 111.74/111.87     (P2(f2(f5(a1,a3),a1),a3,f2(a1,a1))),
% 111.74/111.87     inference(scs_inference,[],[77,1641,1646,1649,1661,71,59,55,1630,46,1663,1535,1254,1209,1153,1563,1614,1136,1006,1510,374,435,1593,1014,498,831,100,626,660,87,34,32,27,28,37,30,35,26,29,10,3,2,9,14,12])).
% 111.74/111.87  cnf(1670,plain,
% 111.74/111.87     (E(x16701,f2(x16701,a1))),
% 111.74/111.87     inference(rename_variables,[],[46])).
% 111.74/111.87  cnf(1673,plain,
% 111.74/111.87     (~E(f5(f4(a1),f2(a3,a3)),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[77,1641,1646,1649,1661,71,59,55,1630,46,1663,1670,1535,1254,1209,1153,1563,1614,1501,1136,1006,1510,374,430,435,1593,1014,498,831,100,626,660,87,34,32,27,28,37,30,35,26,29,10,3,2,9,14,12,13,11])).
% 111.74/111.87  cnf(1675,plain,
% 111.74/111.87     (P1(f5(f4(a3),f4(a3)),f2(a1,a1),f2(a1,a1))),
% 111.74/111.87     inference(scs_inference,[],[77,1641,1646,1649,1661,71,59,55,1630,46,1663,1670,1535,1254,1209,1153,1563,1614,1501,1136,1006,1510,374,430,435,1593,1011,1014,498,1273,831,713,100,626,660,87,34,32,27,28,37,30,35,26,29,10,3,2,9,14,12,13,11,33])).
% 111.74/111.87  cnf(1686,plain,
% 111.74/111.87     (E(f2(x16861,a3),f2(x16861,f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[1593,6])).
% 111.74/111.87  cnf(1687,plain,
% 111.74/111.87     (P1(f4(a1),f2(f5(a1,a3),a1),a3)),
% 111.74/111.87     inference(scs_inference,[],[77,352,292,1593,21,6,33])).
% 111.74/111.87  cnf(1689,plain,
% 111.74/111.87     (P1(x16891,x16891,f5(x16891,f2(a3,a3)))),
% 111.74/111.87     inference(rename_variables,[],[77])).
% 111.74/111.87  cnf(1692,plain,
% 111.74/111.87     (~P1(a7,f5(f4(a3),a7),a3)),
% 111.74/111.87     inference(scs_inference,[],[77,1603,352,292,1593,754,21,6,33,28])).
% 111.74/111.87  cnf(1695,plain,
% 111.74/111.87     (P2(f5(x16951,f2(a3,a3)),f2(x16951,a3),f2(x16951,x16951))),
% 111.74/111.87     inference(scs_inference,[],[77,1689,55,1603,352,292,1593,754,87,21,6,33,28,34])).
% 111.74/111.87  cnf(1698,plain,
% 111.74/111.87     (P2(x16981,f2(x16981,a3),x16981)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(1700,plain,
% 111.74/111.87     (~P2(f5(f5(a3,a3),f2(a3,a3)),a3,f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[77,1689,55,1603,1025,352,292,1593,1175,754,87,21,6,33,28,34,32])).
% 111.74/111.87  cnf(1701,plain,
% 111.74/111.87     (P1(x17011,x17011,f5(x17011,f2(a3,a3)))),
% 111.74/111.87     inference(rename_variables,[],[77])).
% 111.74/111.87  cnf(1705,plain,
% 111.74/111.87     (~P1(a3,a3,f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[77,1689,1701,55,1658,1603,1025,1581,352,292,1593,449,1175,754,87,21,6,33,28,34,32,27,37])).
% 111.74/111.87  cnf(1713,plain,
% 111.74/111.87     (~P1(f2(a3,a3),f5(a1,a1),f5(f2(a6,a7),a3))),
% 111.74/111.87     inference(scs_inference,[],[77,1689,1701,65,55,1698,1658,1603,1025,132,1581,598,352,292,1593,1481,449,415,1175,635,754,87,21,17,6,33,28,34,32,27,37,36,30])).
% 111.74/111.87  cnf(1715,plain,
% 111.74/111.87     (P2(x17151,f2(x17151,a3),x17151)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(1722,plain,
% 111.74/111.87     (P1(f5(a3,a3),f2(a1,a3),f5(f5(a3,a3),f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[77,1689,1701,65,55,1698,1601,1658,1603,1025,891,132,1581,598,352,1271,292,1593,1481,449,415,1263,1175,635,754,15,87,21,17,6,33,28,34,32,27,37,36,30,35,26])).
% 111.74/111.87  cnf(1724,plain,
% 111.74/111.87     (P1(f5(a1,a3),f5(a1,a3),f5(a1,a3))),
% 111.74/111.87     inference(scs_inference,[],[77,1689,1701,71,65,55,1698,1601,1658,1603,1025,726,891,132,1581,598,352,1271,824,292,1593,1481,449,415,1263,1175,635,754,15,87,21,17,6,33,28,34,32,27,37,36,30,35,26,31])).
% 111.74/111.87  cnf(1729,plain,
% 111.74/111.87     (P2(x17291,f2(x17291,a3),x17291)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(1731,plain,
% 111.74/111.87     (~E(a3,f2(f2(a6,a1),a7))),
% 111.74/111.87     inference(scs_inference,[],[41,77,1689,1701,71,65,55,1698,1715,1601,1658,1603,1613,1025,726,891,132,1581,598,352,1271,824,292,1593,1481,449,415,1263,1175,635,754,15,87,21,17,6,33,28,34,32,27,37,36,30,35,26,31,29,3])).
% 111.74/111.87  cnf(1733,plain,
% 111.74/111.87     (~P1(a1,f5(a1,a3),f4(f2(a6,a7)))),
% 111.74/111.87     inference(scs_inference,[],[41,77,1689,1701,71,65,55,1698,1715,46,1601,1658,1603,1613,1025,1525,726,891,132,1581,598,352,1271,824,292,1593,1481,449,415,1263,1175,635,754,15,87,21,17,6,33,28,34,32,27,37,36,30,35,26,31,29,3,9])).
% 111.74/111.87  cnf(1734,plain,
% 111.74/111.87     (E(x17341,f2(x17341,a1))),
% 111.74/111.87     inference(rename_variables,[],[46])).
% 111.74/111.87  cnf(1735,plain,
% 111.74/111.87     (~P1(f5(a6,f2(a6,a7)),a1,f5(a6,a3))),
% 111.74/111.87     inference(scs_inference,[],[41,77,1689,1701,71,65,55,1698,1715,46,1734,1601,1658,1603,1613,1540,1025,1525,726,891,132,1581,598,352,1271,824,292,1593,1481,449,415,1263,1175,635,754,15,87,21,17,6,33,28,34,32,27,37,36,30,35,26,31,29,3,9,10])).
% 111.74/111.87  cnf(1736,plain,
% 111.74/111.87     (E(x17361,f2(x17361,a1))),
% 111.74/111.87     inference(rename_variables,[],[46])).
% 111.74/111.87  cnf(1737,plain,
% 111.74/111.87     (~E(f2(a6,a7),f5(f4(a1),f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[41,77,1689,1701,71,65,55,1698,1715,46,1734,1601,1658,1603,1613,1673,1540,1025,1525,726,891,132,1581,598,352,1271,824,292,1593,1481,449,415,1263,1175,635,754,15,87,21,17,6,33,28,34,32,27,37,36,30,35,26,31,29,3,9,10,2])).
% 111.74/111.87  cnf(1738,plain,
% 111.74/111.87     (P2(x17381,f2(x17381,a3),f2(x17381,a1))),
% 111.74/111.87     inference(scs_inference,[],[41,77,1689,1701,71,65,55,1698,1715,1729,46,1734,1736,1601,1658,1603,1613,1673,1540,1025,1525,726,891,132,1581,598,352,1271,824,292,1593,1481,449,415,1263,1175,635,754,15,87,21,17,6,33,28,34,32,27,37,36,30,35,26,31,29,3,9,10,2,14])).
% 111.74/111.87  cnf(1739,plain,
% 111.74/111.87     (E(x17391,f2(x17391,a1))),
% 111.74/111.87     inference(rename_variables,[],[46])).
% 111.74/111.87  cnf(1741,plain,
% 111.74/111.87     (E(x17411,f5(x17411,a3))),
% 111.74/111.87     inference(rename_variables,[],[43])).
% 111.74/111.87  cnf(1742,plain,
% 111.74/111.87     (P2(x17421,f2(f2(x17421,a3),a1),x17421)),
% 111.74/111.87     inference(scs_inference,[],[41,77,1689,1701,71,65,55,1698,1715,1729,43,46,1734,1736,1739,1601,1667,1658,1603,1613,1673,1540,1025,1525,726,891,132,1581,598,352,1271,824,292,1593,1481,449,415,1263,1175,635,754,15,87,21,17,6,33,28,34,32,27,37,36,30,35,26,31,29,3,9,10,2,14,12,13])).
% 111.74/111.87  cnf(1746,plain,
% 111.74/111.87     (E(f5(x17461,a3),f5(x17461,f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[41,77,1689,1701,71,65,55,1698,1715,1729,43,1741,46,1734,1736,1739,1601,1667,1658,1603,1613,1673,1540,1025,1525,726,891,132,1581,598,352,1271,824,292,1593,1481,449,415,1263,1175,635,754,15,87,21,17,6,33,28,34,32,27,37,36,30,35,26,31,29,3,9,10,2,14,12,13,11,8])).
% 111.74/111.87  cnf(1747,plain,
% 111.74/111.87     (P1(f5(a1,a1),f2(f2(a1,a1),a1),f2(a1,a1))),
% 111.74/111.87     inference(scs_inference,[],[59,784,1311,1247,33])).
% 111.74/111.87  cnf(1749,plain,
% 111.74/111.87     (E(f5(a1,f2(a3,a3)),f5(a3,a1))),
% 111.74/111.87     inference(scs_inference,[],[81,59,784,1311,1247,15,33,28])).
% 111.74/111.87  cnf(1752,plain,
% 111.74/111.87     (~P2(f2(a1,a3),f4(f5(a1,a3)),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[81,59,1533,784,900,1311,217,1247,358,15,33,28,37])).
% 111.74/111.87  cnf(1757,plain,
% 111.74/111.87     (P2(x17571,f4(x17571),f4(a3))),
% 111.74/111.87     inference(rename_variables,[],[500])).
% 111.74/111.87  cnf(1761,plain,
% 111.74/111.87     (P2(f2(a1,a3),f5(a3,a3),f5(a3,a3))),
% 111.74/111.87     inference(scs_inference,[],[81,59,1629,1533,1239,109,784,900,1311,217,1247,500,358,15,87,33,28,37,34,27])).
% 111.74/111.87  cnf(1765,plain,
% 111.74/111.87     (E(f2(a1,a1),f4(a3))),
% 111.74/111.87     inference(scs_inference,[],[81,59,1629,1713,1533,1239,109,784,900,1311,217,1247,500,1757,358,15,87,33,28,37,34,27,26,29])).
% 111.74/111.87  cnf(1769,plain,
% 111.74/111.87     (E(x17691,f5(x17691,a3))),
% 111.74/111.87     inference(rename_variables,[],[43])).
% 111.74/111.87  cnf(1770,plain,
% 111.74/111.87     (P1(f2(a3,a3),a3,f5(a3,f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[81,77,59,43,1629,1713,1533,1239,109,784,1599,900,1311,217,1247,500,1757,1593,358,15,87,33,28,37,34,27,26,29,3,9])).
% 111.74/111.87  cnf(1771,plain,
% 111.74/111.87     (P1(x17711,x17711,f5(x17711,f2(a3,a3)))),
% 111.74/111.87     inference(rename_variables,[],[77])).
% 111.74/111.87  cnf(1772,plain,
% 111.74/111.87     (P1(f5(a3,a1),f5(a1,a3),f5(a1,f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[81,77,59,43,1769,1629,1713,1533,1239,109,784,1599,900,1311,217,1247,500,1757,1593,358,15,87,33,28,37,34,27,26,29,3,9,10])).
% 111.74/111.87  cnf(1773,plain,
% 111.74/111.87     (E(x17731,f5(x17731,a3))),
% 111.74/111.87     inference(rename_variables,[],[43])).
% 111.74/111.87  cnf(1774,plain,
% 111.74/111.87     (E(f2(x17741,f2(a1,x17742)),f2(x17741,x17742))),
% 111.74/111.87     inference(scs_inference,[],[81,77,59,43,1769,1629,1713,1533,1154,1239,109,784,1599,900,1311,217,1247,500,1757,1593,358,15,87,33,28,37,34,27,26,29,3,9,10,2])).
% 111.74/111.87  cnf(1775,plain,
% 111.74/111.87     (~E(f2(a3,a1),f2(a1,f2(a6,a7)))),
% 111.74/111.87     inference(scs_inference,[],[81,77,59,43,1769,49,1629,1713,1533,1154,1239,109,784,1599,900,1311,1567,217,1247,500,1757,1593,358,15,87,33,28,37,34,27,26,29,3,9,10,2,14])).
% 111.74/111.87  cnf(1776,plain,
% 111.74/111.87     (P2(f5(x17761,f4(x17761)),a3,f2(a1,a1))),
% 111.74/111.87     inference(scs_inference,[],[81,77,59,43,1769,49,1629,1713,1533,1154,1239,109,784,490,1599,900,1311,1567,217,1247,500,1757,1593,358,15,87,33,28,37,34,27,26,29,3,9,10,2,14,12])).
% 111.74/111.87  cnf(1777,plain,
% 111.74/111.87     (P2(f5(a3,a3),f5(f2(a1,a3),a3),f5(a3,a3))),
% 111.74/111.87     inference(scs_inference,[],[81,77,59,43,1769,1773,49,1629,1713,1533,1154,1239,109,784,490,1599,900,1311,1567,217,1247,500,1757,1593,358,15,87,33,28,37,34,27,26,29,3,9,10,2,14,12,13])).
% 111.74/111.87  cnf(1779,plain,
% 111.74/111.87     (P1(f5(a3,a1),a1,f5(f2(a1,a1),f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[81,77,59,43,1769,1773,49,1629,1713,1533,895,1154,1239,109,784,490,1599,900,1311,1567,217,1247,500,1757,1593,358,15,87,33,28,37,34,27,26,29,3,9,10,2,14,12,13,11])).
% 111.74/111.87  cnf(1784,plain,
% 111.74/111.87     (~P2(f4(a3),f4(a3),f4(a3))+P2(a1,a1,a1)),
% 111.74/111.87     inference(scs_inference,[],[81,77,1771,59,43,1769,1773,49,1629,1713,1533,895,1154,1239,109,784,490,1599,590,900,748,1311,1567,217,1247,500,1757,1593,358,15,87,33,28,37,34,27,26,29,3,9,10,2,14,12,13,11,32,36])).
% 111.74/111.87  cnf(1792,plain,
% 111.74/111.87     (~P2(f4(f5(a1,a3)),f2(a1,a3),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[65,1752,1731,28,27])).
% 111.74/111.87  cnf(1794,plain,
% 111.74/111.87     (~P2(a1,f2(a1,a3),f4(f2(a6,a7)))),
% 111.74/111.87     inference(scs_inference,[],[71,65,55,1752,1572,1731,17,28,27,34])).
% 111.74/111.87  cnf(1798,plain,
% 111.74/111.87     (P2(f2(f2(a1,a3),f4(a3)),f2(a3,a1),f2(a3,a1))),
% 111.74/111.87     inference(scs_inference,[],[87,71,65,55,1761,1752,1572,1731,848,17,28,27,34,36])).
% 111.74/111.87  cnf(1800,plain,
% 111.74/111.87     (P1(x18001,x18002,f2(x18002,x18001))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(1802,plain,
% 111.74/111.87     (P2(f2(f4(a3),f2(a1,a3)),a3,a3)),
% 111.74/111.87     inference(scs_inference,[],[87,1800,71,65,55,1761,1752,1572,1731,848,693,17,28,27,34,36,35])).
% 111.74/111.87  cnf(1804,plain,
% 111.74/111.87     (P1(x18041,x18042,f2(x18042,x18041))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(1806,plain,
% 111.74/111.87     (P1(f2(f2(a1,a1),a1),f5(a1,a1),f2(a1,a1))),
% 111.74/111.87     inference(scs_inference,[],[87,1800,71,65,55,1761,1747,1752,1572,1731,848,693,17,28,27,34,36,35,26])).
% 111.74/111.87  cnf(1808,plain,
% 111.74/111.87     (P1(f2(a1,a1),f2(f5(a3,a3),a1),f2(a3,a1))),
% 111.74/111.87     inference(scs_inference,[],[87,1800,71,65,55,49,1761,1747,1752,1572,437,1731,1163,848,693,1064,17,28,27,34,36,35,26,31])).
% 111.74/111.87  cnf(1811,plain,
% 111.74/111.87     (~P2(f2(a1,a3),f5(a3,a3),f5(f2(a6,a7),a3))),
% 111.74/111.87     inference(scs_inference,[],[87,1800,71,65,55,49,1761,1747,1752,1572,437,1731,1163,848,693,1064,562,17,28,27,34,36,35,26,31,29])).
% 111.74/111.87  cnf(1813,plain,
% 111.74/111.87     (~E(a7,f5(a3,a3))),
% 111.74/111.87     inference(scs_inference,[],[87,1800,1804,71,65,55,49,1761,1747,1752,1572,437,1369,1731,1163,848,693,1064,562,17,28,27,34,36,35,26,31,29,9])).
% 111.74/111.87  cnf(1814,plain,
% 111.74/111.87     (P1(x18141,x18142,f2(x18142,x18141))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(1815,plain,
% 111.74/111.87     (E(f5(x18151,f5(a3,a3)),f5(x18151,a3))),
% 111.74/111.87     inference(scs_inference,[],[43,87,1800,1804,71,65,55,49,1761,1747,1752,1572,437,1369,1731,1163,1330,848,693,1064,562,17,28,27,34,36,35,26,31,29,9,3])).
% 111.74/111.87  cnf(1816,plain,
% 111.74/111.87     (E(f5(x18161,f5(a3,a3)),x18161)),
% 111.74/111.87     inference(rename_variables,[],[1330])).
% 111.74/111.87  cnf(1817,plain,
% 111.74/111.87     (~E(a6,f5(f4(a7),a3))),
% 111.74/111.87     inference(scs_inference,[],[43,87,1800,1804,1814,71,65,55,49,1761,1747,1752,1572,437,1369,1731,1163,1330,848,224,693,1064,562,17,28,27,34,36,35,26,31,29,9,3,10])).
% 111.74/111.87  cnf(1820,plain,
% 111.74/111.87     (~E(f2(a1,f2(a6,a7)),f2(a3,a1))),
% 111.74/111.87     inference(scs_inference,[],[43,87,1800,1804,1814,71,65,55,49,1761,1775,1747,1752,1572,437,1369,1731,1163,1330,848,224,693,1064,562,17,28,27,34,36,35,26,31,29,9,3,10,2])).
% 111.74/111.87  cnf(1823,plain,
% 111.74/111.87     (P2(f5(f2(a1,a3),a3),f5(a3,a3),f5(a3,a3))),
% 111.74/111.87     inference(scs_inference,[],[43,87,1800,1804,1814,71,65,55,49,1761,1775,1747,1752,1572,370,437,1369,1731,1163,1330,1816,848,224,693,1064,562,17,28,27,34,36,35,26,31,29,9,3,10,2,14,12])).
% 111.74/111.87  cnf(1824,plain,
% 111.74/111.87     (E(x18241,f5(x18241,a3))),
% 111.74/111.87     inference(rename_variables,[],[43])).
% 111.74/111.87  cnf(1825,plain,
% 111.74/111.87     (~P2(f2(a3,a1),a1,f4(f2(a6,a7)))),
% 111.74/111.87     inference(scs_inference,[],[43,87,1800,1804,1814,71,65,55,46,49,1761,1775,1747,1752,1572,1360,370,437,1369,1731,1163,1330,1816,848,224,693,1064,562,17,28,27,34,36,35,26,31,29,9,3,10,2,14,12,13])).
% 111.74/111.87  cnf(1827,plain,
% 111.74/111.87     (P1(f2(a3,a3),f4(a3),f5(f2(a3,a3),a3))),
% 111.74/111.87     inference(scs_inference,[],[43,1824,87,1800,1804,1814,71,65,55,46,49,1761,1775,1747,1752,809,1572,1360,370,437,1369,1731,1163,1330,1816,848,224,693,1064,562,17,28,27,34,36,35,26,31,29,9,3,10,2,14,12,13,11])).
% 111.74/111.87  cnf(1829,plain,
% 111.74/111.87     (~P2(f5(a6,f2(a6,a3)),f2(a6,a7),a6)),
% 111.74/111.87     inference(scs_inference,[],[43,1824,87,1800,1804,1814,71,65,55,46,49,1761,1775,1747,1752,809,1572,1360,370,437,1369,1731,1163,1330,1816,848,1200,224,693,1064,562,17,28,27,34,36,35,26,31,29,9,3,10,2,14,12,13,11,94])).
% 111.74/111.87  cnf(1831,plain,
% 111.74/111.87     (E(f2(a1,x18311),f2(f4(a3),x18311))),
% 111.74/111.87     inference(scs_inference,[],[43,1824,87,1800,1804,1814,71,65,55,46,49,1761,1775,1747,1752,809,1572,1360,370,437,1369,1731,1163,1330,1816,848,1200,224,693,1064,562,268,17,28,27,34,36,35,26,31,29,9,3,10,2,14,12,13,11,94,5])).
% 111.74/111.87  cnf(1832,plain,
% 111.74/111.87     (E(f4(a1),f4(f4(a3)))),
% 111.74/111.87     inference(scs_inference,[],[43,1824,87,1800,1804,1814,71,65,55,46,49,1761,1775,1747,1752,809,1572,1360,370,437,1369,1731,1163,1330,1816,848,1200,224,693,1064,562,268,17,28,27,34,36,35,26,31,29,9,3,10,2,14,12,13,11,94,5,4])).
% 111.74/111.87  cnf(1833,plain,
% 111.74/111.87     (E(f5(a1,x18331),f5(f4(a3),x18331))),
% 111.74/111.87     inference(scs_inference,[],[43,1824,87,1800,1804,1814,71,65,55,46,49,1761,1775,1747,1752,809,1572,1360,370,437,1369,1731,1163,1330,1816,848,1200,224,693,1064,562,268,17,28,27,34,36,35,26,31,29,9,3,10,2,14,12,13,11,94,5,4,7])).
% 111.74/111.87  cnf(1848,plain,
% 111.74/111.87     (P2(f5(f2(a1,a3),a3),a3,a3)),
% 111.74/111.87     inference(scs_inference,[],[1823,1038,101,37])).
% 111.74/111.87  cnf(1852,plain,
% 111.74/111.87     (P1(x18521,x18522,f2(x18522,x18521))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(1854,plain,
% 111.74/111.87     (P2(f5(a1,a3),f5(f2(a1,a3),a3),f5(a1,a3))),
% 111.74/111.87     inference(scs_inference,[],[87,1823,1138,1506,1038,101,37,28,27])).
% 111.74/111.87  cnf(1856,plain,
% 111.74/111.87     (P2(f5(a1,a3),f2(f2(a1,a3),a1),f5(a1,a3))),
% 111.74/111.87     inference(scs_inference,[],[87,1852,71,55,1823,1138,1506,1038,101,37,28,27,36])).
% 111.74/111.87  cnf(1857,plain,
% 111.74/111.87     (P2(x18571,f2(x18571,a3),x18571)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(1858,plain,
% 111.74/111.87     (P1(x18581,x18582,f2(x18582,x18581))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(1860,plain,
% 111.74/111.87     (~P2(f5(a1,f2(a3,a3)),f2(a1,a3),f4(a7))),
% 111.74/111.87     inference(scs_inference,[],[77,87,1852,1858,71,55,1823,1138,1506,595,1391,1038,101,37,28,27,36,30])).
% 111.74/111.87  cnf(1862,plain,
% 111.74/111.87     (P1(x18621,x18622,f2(x18622,x18621))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(1865,plain,
% 111.74/111.87     (P2(f5(a1,a3),f2(a1,f2(a1,a3)),f5(a1,a3))),
% 111.74/111.87     inference(scs_inference,[],[77,87,1852,1858,1862,71,55,1857,1823,1138,1506,595,1391,1038,101,37,28,27,36,30,35])).
% 111.74/111.87  cnf(1866,plain,
% 111.74/111.87     (P2(x18661,f2(x18661,a3),x18661)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(1869,plain,
% 111.74/111.87     (P1(f5(x18691,f5(a1,a3)),x18691,x18691)),
% 111.74/111.87     inference(scs_inference,[],[77,87,1852,1858,1862,71,55,1857,1866,1823,1138,1506,595,1391,1038,101,1395,358,37,28,27,36,30,35,31])).
% 111.74/111.87  cnf(1873,plain,
% 111.74/111.87     (~P1(a3,f5(a1,a1),f5(f2(a6,a7),a3))),
% 111.74/111.87     inference(scs_inference,[],[77,87,1852,1858,1862,71,55,1857,1866,1823,1138,1506,1207,595,1391,1038,101,1395,358,37,28,27,36,30,35,31,26])).
% 111.74/111.87  cnf(1875,plain,
% 111.74/111.87     (~P2(f5(a3,a3),f2(f5(a3,a3),a3),a7)),
% 111.74/111.87     inference(scs_inference,[],[77,87,1852,1858,1862,71,55,1857,1866,1823,1138,1506,1207,1813,595,1391,1038,101,1395,358,37,28,27,36,30,35,31,26,29])).
% 111.74/111.87  cnf(1876,plain,
% 111.74/111.87     (P2(x18761,f2(x18761,a3),x18761)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(1879,plain,
% 111.74/111.87     (E(x18791,f5(x18791,a3))),
% 111.74/111.87     inference(rename_variables,[],[43])).
% 111.74/111.87  cnf(1881,plain,
% 111.74/111.87     (E(f5(f2(x18811,a1),x18812),f5(x18811,x18812))),
% 111.74/111.87     inference(rename_variables,[],[1615])).
% 111.74/111.87  cnf(1882,plain,
% 111.74/111.87     (E(f5(a3,a1),f5(a1,f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[43,86,77,87,1852,1858,1862,71,55,1857,1866,1823,1138,1506,1749,1615,1198,1207,1813,595,1391,1038,101,1395,358,37,28,27,36,30,35,31,26,29,9,3,2])).
% 111.74/111.87  cnf(1883,plain,
% 111.74/111.87     (~P1(f2(a3,a3),f2(f2(a1,a3),a3),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[43,86,77,87,1852,1858,1862,71,55,1857,1866,1823,1138,1506,1749,1615,1664,1198,1207,1640,1813,595,1391,1038,101,1395,358,37,28,27,36,30,35,31,26,29,9,3,2,10])).
% 111.74/111.87  cnf(1884,plain,
% 111.74/111.87     (E(f2(f2(a1,x18841),x18842),f2(x18841,x18842))),
% 111.74/111.87     inference(rename_variables,[],[1664])).
% 111.74/111.87  cnf(1885,plain,
% 111.74/111.87     (P2(x18851,f2(x18851,a3),f5(f2(a1,x18851),a3))),
% 111.74/111.87     inference(scs_inference,[],[43,86,77,87,1852,1858,1862,71,55,1857,1866,1876,1823,1138,1506,1749,1615,1664,1198,1207,1141,1640,1813,595,1391,1038,101,1395,358,37,28,27,36,30,35,31,26,29,9,3,2,10,14])).
% 111.74/111.87  cnf(1889,plain,
% 111.74/111.87     (P2(f4(f2(x18891,a1)),f5(x18891,a3),a1)),
% 111.74/111.87     inference(scs_inference,[],[43,86,77,87,1852,1858,1862,71,55,1857,1866,1876,1823,1138,1506,1749,1615,1881,1664,1884,1198,1207,1141,1640,719,833,1813,595,1391,1038,101,1395,358,37,28,27,36,30,35,31,26,29,9,3,2,10,14,12,13])).
% 111.74/111.87  cnf(1892,plain,
% 111.74/111.87     (~P1(f5(a1,a1),a3,f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[43,1879,86,77,87,1852,1858,1862,71,55,1857,1866,1876,1823,1138,1506,1749,1615,1881,1664,1884,1198,1207,1141,1640,719,833,1813,595,1391,1038,101,1395,358,37,28,27,36,30,35,31,26,29,9,3,2,10,14,12,13,11])).
% 111.74/111.87  cnf(1902,plain,
% 111.74/111.87     (~P2(f5(a1,a3),f2(a3,a1),f4(f2(a6,a7)))),
% 111.74/111.87     inference(scs_inference,[],[87,71,59,1384,33])).
% 111.74/111.87  cnf(1903,plain,
% 111.74/111.87     (P1(x19031,x19032,f2(x19032,x19031))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(1905,plain,
% 111.74/111.87     (P1(f5(a1,a3),f5(a1,a3),f2(f5(a1,a3),a1))),
% 111.74/111.87     inference(scs_inference,[],[87,71,59,55,1384,1738,1724,33,32])).
% 111.74/111.87  cnf(1908,plain,
% 111.74/111.87     (P2(x19081,f2(x19081,a3),x19081)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(1910,plain,
% 111.74/111.87     (~P2(f5(a3,a3),f2(a1,a3),f5(f2(a6,a7),a3))),
% 111.74/111.87     inference(scs_inference,[],[87,71,59,55,1811,1384,1738,1724,33,32,27])).
% 111.74/111.87  cnf(1912,plain,
% 111.74/111.87     (P2(a1,f2(a3,a3),f5(f2(a1,a1),f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[77,87,1903,71,59,55,1811,1384,1738,1724,33,32,27,37])).
% 111.74/111.87  cnf(1913,plain,
% 111.74/111.87     (P1(x19131,x19131,f5(x19131,f2(a3,a3)))),
% 111.74/111.87     inference(rename_variables,[],[77])).
% 111.74/111.87  cnf(1914,plain,
% 111.74/111.87     (P1(x19141,x19142,f2(x19142,x19141))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(1916,plain,
% 111.74/111.87     (E(f2(x19161,f4(x19161)),f2(a3,a1))),
% 111.74/111.87     inference(scs_inference,[],[77,87,1903,1914,71,59,55,1811,1384,1738,1724,889,33,32,27,37,28])).
% 111.74/111.87  cnf(1918,plain,
% 111.74/111.87     (P1(x19181,x19182,f2(x19182,x19181))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(1925,plain,
% 111.74/111.87     (P1(a3,f2(f2(a3,a3),f2(a3,a3)),f2(a3,a3))),
% 111.74/111.87     inference(scs_inference,[],[77,87,1903,1914,1918,71,59,55,1908,1811,1384,1738,1724,374,508,889,265,130,495,33,32,27,37,28,36,31])).
% 111.74/111.87  cnf(1926,plain,
% 111.74/111.87     (P2(f2(a3,a3),x19261,f2(x19261,x19261))),
% 111.74/111.87     inference(rename_variables,[],[508])).
% 111.74/111.87  cnf(1927,plain,
% 111.74/111.87     (P2(x19271,f2(x19271,a3),x19271)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(1928,plain,
% 111.74/111.87     (P1(x19281,x19282,f2(x19282,x19281))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(1929,plain,
% 111.74/111.87     (P2(f2(x19291,a3),x19291,x19291)),
% 111.74/111.87     inference(rename_variables,[],[265])).
% 111.74/111.87  cnf(1931,plain,
% 111.74/111.87     (E(f2(a3,a3),a3)),
% 111.74/111.87     inference(scs_inference,[],[77,87,1903,1914,1918,71,59,55,1908,1811,1384,1738,1724,374,508,1926,889,265,1929,130,495,33,32,27,37,28,36,31,29])).
% 111.74/111.87  cnf(1935,plain,
% 111.74/111.87     (P1(x19351,f5(x19351,f5(a1,a3)),x19351)),
% 111.74/111.87     inference(scs_inference,[],[77,87,1903,1914,1918,71,59,55,1908,1869,1811,1384,1738,1724,374,508,1926,889,265,1929,130,495,33,32,27,37,28,36,31,29,26])).
% 111.74/111.87  cnf(1938,plain,
% 111.74/111.87     (P1(x19381,x19381,f5(x19381,f2(a3,a3)))),
% 111.74/111.87     inference(rename_variables,[],[77])).
% 111.74/111.87  cnf(1939,plain,
% 111.74/111.87     (~E(f2(a6,a7),f5(a3,a3))),
% 111.74/111.87     inference(scs_inference,[],[95,77,1913,87,1903,1914,1918,71,59,55,1908,1869,1811,1384,1738,1765,1724,374,508,1926,889,265,1929,130,495,33,32,27,37,28,36,31,29,26,9,2])).
% 111.74/111.87  cnf(1940,plain,
% 111.74/111.87     (~E(f2(a6,a1),f5(a6,f2(a6,a7)))),
% 111.74/111.87     inference(scs_inference,[],[46,86,95,77,1913,87,1903,1914,1918,71,59,55,1908,1869,1811,1384,1738,1765,1724,374,508,1926,889,265,1929,130,495,33,32,27,37,28,36,31,29,26,9,2,3])).
% 111.74/111.87  cnf(1941,plain,
% 111.74/111.87     (E(x19411,f2(x19411,a1))),
% 111.74/111.87     inference(rename_variables,[],[46])).
% 111.74/111.87  cnf(1942,plain,
% 111.74/111.87     (P1(f2(a1,a1),f4(a3),f5(f2(a1,a1),f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[46,86,95,77,1913,1938,87,1903,1914,1918,71,59,55,1908,1869,1811,1384,1738,1765,1724,374,508,1926,889,265,1929,130,495,33,32,27,37,28,36,31,29,26,9,2,3,10])).
% 111.74/111.87  cnf(1943,plain,
% 111.74/111.87     (P1(x19431,x19431,f5(x19431,f2(a3,a3)))),
% 111.74/111.87     inference(rename_variables,[],[77])).
% 111.74/111.87  cnf(1944,plain,
% 111.74/111.87     (~E(f2(a1,a1),f4(a7))),
% 111.74/111.87     inference(scs_inference,[],[46,86,95,77,1913,1938,87,1903,1914,1918,71,59,55,1908,1869,1811,1384,1695,1738,1860,1765,1724,374,508,1926,889,265,1929,130,495,33,32,27,37,28,36,31,29,26,9,2,3,10,14])).
% 111.74/111.87  cnf(1946,plain,
% 111.74/111.87     (P2(f4(a3),f2(f2(a1,a1),a3),f2(a1,a1))),
% 111.74/111.87     inference(scs_inference,[],[46,86,95,77,1913,1938,87,1903,1914,1918,71,59,55,1908,1927,1869,1811,1384,1695,1738,1860,1765,1724,374,508,1926,889,265,1929,130,495,33,32,27,37,28,36,31,29,26,9,2,3,10,14,12])).
% 111.74/111.87  cnf(1948,plain,
% 111.74/111.87     (P2(a1,f2(f5(a3,a3),a1),f2(a1,a1))),
% 111.74/111.87     inference(scs_inference,[],[46,1941,86,95,77,1913,1938,87,1903,1914,1918,71,59,55,1908,1927,1869,1811,1384,1695,1561,1738,1860,1765,1724,374,508,1926,889,265,1929,130,495,33,32,27,37,28,36,31,29,26,9,2,3,10,14,12,13])).
% 111.74/111.87  cnf(1950,plain,
% 111.74/111.87     (P1(f2(a1,x19501),x19502,f2(x19502,x19501))),
% 111.74/111.87     inference(scs_inference,[],[46,1941,86,95,77,1913,1938,87,1903,1914,1918,1928,71,59,55,1908,1927,1869,1811,1774,1384,1695,1561,1738,1860,1765,1724,374,508,1926,889,265,1929,130,495,33,32,27,37,28,36,31,29,26,9,2,3,10,14,12,13,11])).
% 111.74/111.87  cnf(1952,plain,
% 111.74/111.87     (P1(x19521,x19522,f2(x19522,x19521))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(1953,plain,
% 111.74/111.87     (E(f5(x19531,f4(a1)),f5(x19531,a3))),
% 111.74/111.87     inference(scs_inference,[],[46,1941,86,95,77,1913,1938,87,1903,1914,1918,1928,71,59,55,1908,1927,1869,1811,1774,1384,1695,1561,1738,1860,1765,1724,374,508,1926,889,265,1929,130,240,495,33,32,27,37,28,36,31,29,26,9,2,3,10,14,12,13,11,8])).
% 111.74/111.87  cnf(1954,plain,
% 111.74/111.87     (E(f2(x19541,f5(x19542,a3)),f2(x19541,x19542))),
% 111.74/111.87     inference(scs_inference,[],[46,1941,86,95,77,1913,1938,87,1903,1914,1918,1928,71,59,55,1908,1927,1869,1811,1774,1384,1695,1561,1738,1860,1765,1724,374,508,1926,889,265,1929,130,240,127,495,33,32,27,37,28,36,31,29,26,9,2,3,10,14,12,13,11,8,6])).
% 111.74/111.87  cnf(1955,plain,
% 111.74/111.87     (P2(f2(a1,a1),a3,f5(f2(a1,a1),f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[46,1941,86,95,77,1913,1938,1943,87,1903,1914,1918,1928,1952,71,59,55,1908,1927,1869,1811,1774,1384,1695,1561,1738,1860,1765,1724,374,508,1926,889,265,1929,130,240,127,495,33,32,27,37,28,36,31,29,26,9,2,3,10,14,12,13,11,8,6,34])).
% 111.74/111.87  cnf(1961,plain,
% 111.74/111.87     (~E(a1,a7)+~P2(f4(a3),f4(a3),f4(a3))),
% 111.74/111.87     inference(scs_inference,[],[250,1784,12])).
% 111.74/111.87  cnf(1962,plain,
% 111.74/111.87     (~P2(f5(a3,f2(a3,a3)),f2(a3,a3),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[77,55,1705,32])).
% 111.74/111.87  cnf(1964,plain,
% 111.74/111.87     (P2(x19641,f2(x19641,a3),x19641)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(1965,plain,
% 111.74/111.87     (P1(x19651,x19651,f5(x19651,f2(a3,a3)))),
% 111.74/111.87     inference(rename_variables,[],[77])).
% 111.74/111.87  cnf(1969,plain,
% 111.74/111.87     (~P1(f2(a6,a7),a1,f2(a3,a1))),
% 111.74/111.87     inference(scs_inference,[],[77,87,55,1820,1856,1705,32,27,28])).
% 111.74/111.87  cnf(1970,plain,
% 111.74/111.87     (P1(x19701,x19702,f2(x19702,x19701))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(1972,plain,
% 111.74/111.87     (P2(f2(a3,a3),a3,f5(f2(a3,a1),f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[77,1965,87,1970,55,49,1820,1856,1705,32,27,28,34])).
% 111.74/111.87  cnf(1973,plain,
% 111.74/111.87     (P1(x19731,x19731,f5(x19731,f2(a3,a3)))),
% 111.74/111.87     inference(rename_variables,[],[77])).
% 111.74/111.87  cnf(1974,plain,
% 111.74/111.87     (P1(x19741,x19742,f2(x19742,x19741))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(1976,plain,
% 111.74/111.87     (~P1(a3,f2(a1,a1),a7)),
% 111.74/111.87     inference(scs_inference,[],[77,1965,87,1970,1974,55,49,1820,1856,1705,1875,1561,100,32,27,28,34,36])).
% 111.74/111.87  cnf(1977,plain,
% 111.74/111.87     (P1(x19771,x19772,f2(x19772,x19771))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(1979,plain,
% 111.74/111.87     (P1(f2(a3,a1),f2(a3,a1),f5(f2(a1,a3),a3))),
% 111.74/111.87     inference(scs_inference,[],[77,1965,87,1970,1974,1977,55,49,1820,1856,1885,1705,1875,1561,100,32,27,28,34,36,31])).
% 111.74/111.87  cnf(1981,plain,
% 111.74/111.87     (P1(x19811,x19812,f2(x19812,x19811))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(1983,plain,
% 111.74/111.87     (~P1(f2(f2(a1,a3),a3),f2(a3,a3),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[77,1965,87,1970,1974,1977,55,49,1820,1883,1856,1885,1705,1875,1561,100,32,27,28,34,36,31,26])).
% 111.74/111.87  cnf(1985,plain,
% 111.74/111.87     (~P2(a1,a3,f4(a7))),
% 111.74/111.87     inference(scs_inference,[],[77,1965,87,1970,1974,1977,55,49,59,1820,1883,1856,1885,1944,1705,1875,1561,100,32,27,28,34,36,31,26,29])).
% 111.74/111.87  cnf(1987,plain,
% 111.74/111.87     (~E(a7,f5(f4(a6),f4(a6)))),
% 111.74/111.87     inference(scs_inference,[],[77,1965,87,1970,1974,1977,1981,55,49,59,1820,1883,1856,1885,1944,1705,1875,1561,820,100,32,27,28,34,36,31,26,29,9])).
% 111.74/111.87  cnf(1988,plain,
% 111.74/111.87     (P1(x19881,x19882,f2(x19882,x19881))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(1990,plain,
% 111.74/111.87     (E(f4(a1),f2(a3,a1))),
% 111.74/111.87     inference(scs_inference,[],[46,77,1965,87,1970,1974,1977,1981,55,49,59,1820,1883,1856,378,1885,1944,1705,1875,1561,820,100,32,27,28,34,36,31,26,29,9,3])).
% 111.74/111.87  cnf(1991,plain,
% 111.74/111.87     (E(x19911,f2(x19911,a1))),
% 111.74/111.87     inference(rename_variables,[],[46])).
% 111.74/111.87  cnf(1993,plain,
% 111.74/111.87     (E(f2(a3,a1),f2(x19931,f4(x19931)))),
% 111.74/111.87     inference(scs_inference,[],[46,77,1965,87,1970,1974,1977,1981,55,49,59,1916,1820,1883,1856,378,1885,1944,1705,1875,1561,820,100,32,27,28,34,36,31,26,29,9,3,2])).
% 111.74/111.87  cnf(1994,plain,
% 111.74/111.87     (~P2(f5(a3,a3),f2(a1,a3),f5(f2(a6,a7),f2(a3,a1)))),
% 111.74/111.87     inference(scs_inference,[],[46,77,1965,87,1970,1974,1977,1981,55,49,59,1916,1910,1820,1883,1856,1277,378,1885,1944,1705,1875,1561,820,100,32,27,28,34,36,31,26,29,9,3,2,14])).
% 111.74/111.87  cnf(1996,plain,
% 111.74/111.87     (P1(a1,f2(a1,a1),f5(a1,a3))),
% 111.74/111.87     inference(scs_inference,[],[46,1991,77,1965,87,1970,1974,1977,1981,71,55,49,59,1916,1910,1820,1883,1856,1277,378,1885,1944,1705,1875,1561,820,100,32,27,28,34,36,31,26,29,9,3,2,14,10])).
% 111.74/111.87  cnf(1999,plain,
% 111.74/111.87     (E(f4(f2(x19991,a1)),f4(x19991))),
% 111.74/111.87     inference(rename_variables,[],[1614])).
% 111.74/111.87  cnf(2002,plain,
% 111.74/111.87     (~E(f5(a3,f2(a3,a3)),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[46,1991,77,1965,1973,87,1970,1974,1977,1981,71,55,49,59,1916,1910,1820,1883,614,1856,1277,378,1885,1944,1705,1875,1614,1999,1561,820,100,32,27,28,34,36,31,26,29,9,3,2,14,10,12,13,11])).
% 111.74/111.87  cnf(2004,plain,
% 111.74/111.87     (~P2(f2(a3,a1),f2(f2(a3,a3),f2(a1,a1)),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[46,1991,77,1965,1973,87,1970,1974,1977,1981,1988,71,55,1964,49,59,1916,1910,1820,1883,614,1856,1277,1950,378,1885,1944,1705,1875,1614,1999,1561,820,628,100,32,27,28,34,36,31,26,29,9,3,2,14,10,12,13,11,33])).
% 111.74/111.87  cnf(2006,plain,
% 111.74/111.87     (P1(x20061,x20062,f2(x20062,x20061))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(2011,plain,
% 111.74/111.87     (P2(a3,a3,f2(f5(a1,a1),f2(a3,a1)))),
% 111.74/111.87     inference(scs_inference,[],[46,1991,77,1965,1973,87,1970,1974,1977,1981,1988,2006,65,71,55,1964,49,59,1916,1910,1820,1883,614,1856,1277,1950,1281,378,1885,1944,1705,1875,1669,1614,1999,1561,820,628,100,32,27,28,34,36,31,26,29,9,3,2,14,10,12,13,11,33,37,35])).
% 111.74/111.87  cnf(2014,plain,
% 111.74/111.87     (~P2(f5(a3,f2(a3,a3)),f5(a3,a3),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[77,1386,887,635,32])).
% 111.74/111.87  cnf(2015,plain,
% 111.74/111.87     (P1(x20151,x20151,f5(x20151,f2(a3,a3)))),
% 111.74/111.87     inference(rename_variables,[],[77])).
% 111.74/111.87  cnf(2018,plain,
% 111.74/111.87     (~P1(a7,a6,f5(a3,a3))),
% 111.74/111.87     inference(scs_inference,[],[95,77,87,1386,887,635,32,28])).
% 111.74/111.87  cnf(2019,plain,
% 111.74/111.87     (P1(x20191,x20192,f2(x20192,x20191))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(2021,plain,
% 111.74/111.87     (~P2(f2(a1,a3),f5(a3,a3),f5(f2(a6,a7),f2(a3,a1)))),
% 111.74/111.87     inference(scs_inference,[],[95,77,87,1994,1386,887,635,32,28,27])).
% 111.74/111.87  cnf(2023,plain,
% 111.74/111.87     (~P1(f5(a3,f2(a1,a1)),f2(a3,a3),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[95,77,87,2019,1994,2004,1386,1454,887,645,635,32,28,27,37])).
% 111.74/111.87  cnf(2025,plain,
% 111.74/111.87     (P1(x20251,x20252,f2(x20252,x20251))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(2028,plain,
% 111.74/111.87     (P2(f2(a3,a3),f5(a3,a3),f5(f2(a3,a1),f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[95,77,2015,87,2019,2025,1994,2004,1386,1454,887,645,635,32,28,27,37,34])).
% 111.74/111.87  cnf(2029,plain,
% 111.74/111.87     (P1(x20291,x20291,f5(x20291,f2(a3,a3)))),
% 111.74/111.87     inference(rename_variables,[],[77])).
% 111.74/111.87  cnf(2030,plain,
% 111.74/111.87     (P1(x20301,x20302,f2(x20302,x20301))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(2032,plain,
% 111.74/111.87     (P2(f5(a1,a3),f2(f2(a1,a1),f2(a1,a3)),f5(a1,a3))),
% 111.74/111.87     inference(scs_inference,[],[95,77,2015,87,2019,2025,2030,55,1994,2004,1996,1386,1454,887,645,635,32,28,27,37,34,35])).
% 111.74/111.87  cnf(2033,plain,
% 111.74/111.87     (P2(x20331,f2(x20331,a3),x20331)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(2034,plain,
% 111.74/111.87     (P1(x20341,x20342,f2(x20342,x20341))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(2036,plain,
% 111.74/111.87     (P1(f2(f5(a3,a3),a1),f2(a1,a1),f2(a3,a1))),
% 111.74/111.87     inference(scs_inference,[],[95,77,2015,87,2019,2025,2030,55,1808,1994,2004,1996,1386,1454,887,645,635,32,28,27,37,34,35,26])).
% 111.74/111.87  cnf(2038,plain,
% 111.74/111.87     (~P2(f2(a6,a7),f2(f2(a6,a7),a3),f5(a3,a3))),
% 111.74/111.87     inference(scs_inference,[],[95,77,2015,87,2019,2025,2030,55,2033,1808,1994,2004,1996,1386,1454,887,645,635,32,28,27,37,34,35,26,29])).
% 111.74/111.87  cnf(2039,plain,
% 111.74/111.87     (P2(x20391,f2(x20391,a3),x20391)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(2041,plain,
% 111.74/111.87     (~P1(f2(f2(a1,a3),f5(a3,a3)),f2(a3,a3),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[95,77,2015,87,2019,2025,2030,55,2033,1808,1994,2004,1983,1954,1996,1386,1454,887,645,635,32,28,27,37,34,35,26,29,9])).
% 111.74/111.87  cnf(2042,plain,
% 111.74/111.87     (E(f2(x20421,f5(x20422,a3)),f2(x20421,x20422))),
% 111.74/111.87     inference(rename_variables,[],[1954])).
% 111.74/111.87  cnf(2043,plain,
% 111.74/111.87     (P2(a3,a3,f2(x20431,f4(x20431)))),
% 111.74/111.87     inference(scs_inference,[],[49,95,77,2015,87,2019,2025,2030,55,2033,1993,1808,1994,2004,1983,1954,1996,1386,1454,887,645,635,32,28,27,37,34,35,26,29,9,14])).
% 111.74/111.87  cnf(2044,plain,
% 111.74/111.87     (E(f5(a3,a1),f5(f2(a1,a1),f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[49,95,77,2015,87,2019,2025,2030,55,2033,1993,1808,1994,2004,1983,1882,1156,1954,1996,1386,1454,887,645,635,32,28,27,37,34,35,26,29,9,14,3])).
% 111.74/111.87  cnf(2046,plain,
% 111.74/111.87     (~E(f2(a6,a7),f5(a3,f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[49,95,77,2015,87,2019,2025,2030,55,2033,1993,1808,1994,2004,1983,2002,1882,1156,1954,1996,1386,1454,887,645,635,32,28,27,37,34,35,26,29,9,14,3,2])).
% 111.74/111.87  cnf(2049,plain,
% 111.74/111.87     (P2(f2(x20491,f4(x20491)),a3,f2(a3,a1))),
% 111.74/111.87     inference(scs_inference,[],[49,96,95,77,2015,87,2019,2025,2030,55,2033,1993,1808,1994,2004,1983,2002,1882,1156,1954,1996,652,1386,1454,887,645,1330,635,32,28,27,37,34,35,26,29,9,14,3,2,10,12])).
% 111.74/111.87  cnf(2050,plain,
% 111.74/111.87     (P2(x20501,f2(x20501,f2(a3,a3)),x20501)),
% 111.74/111.87     inference(scs_inference,[],[49,96,95,77,2015,87,2019,2025,2030,55,2033,2039,1993,1808,1994,2004,1983,2002,1882,1156,1954,1686,1996,652,1386,1454,887,645,1330,635,32,28,27,37,34,35,26,29,9,14,3,2,10,12,13])).
% 111.74/111.87  cnf(2054,plain,
% 111.74/111.87     (~P2(f2(a6,f5(a1,a3)),f2(a6,a7),a6)),
% 111.74/111.87     inference(scs_inference,[],[49,96,95,77,2015,87,2019,2025,2030,55,2033,2039,1993,1808,1994,2004,1983,2002,1882,1156,1954,2042,1686,1996,652,1386,1454,887,645,1330,961,635,32,28,27,37,34,35,26,29,9,14,3,2,10,12,13,11,94])).
% 111.74/111.87  cnf(2056,plain,
% 111.74/111.87     (E(f2(f2(a3,a3),x20561),f2(a3,x20561))),
% 111.74/111.87     inference(scs_inference,[],[49,96,95,77,2015,87,2019,2025,2030,55,2033,2039,1993,1808,1994,2004,1983,2002,1882,1156,1954,2042,1686,1996,652,1386,1931,1454,887,645,1330,961,635,32,28,27,37,34,35,26,29,9,14,3,2,10,12,13,11,94,5])).
% 111.74/111.87  cnf(2057,plain,
% 111.74/111.87     (E(f4(f2(a3,a3)),f4(a3))),
% 111.74/111.87     inference(scs_inference,[],[49,96,95,77,2015,87,2019,2025,2030,55,2033,2039,1993,1808,1994,2004,1983,2002,1882,1156,1954,2042,1686,1996,652,1386,1931,1454,887,645,1330,961,635,32,28,27,37,34,35,26,29,9,14,3,2,10,12,13,11,94,5,4])).
% 111.74/111.87  cnf(2058,plain,
% 111.74/111.87     (E(f5(f2(a3,a3),x20581),f5(a3,x20581))),
% 111.74/111.87     inference(scs_inference,[],[49,96,95,77,2015,87,2019,2025,2030,55,2033,2039,1993,1808,1994,2004,1983,2002,1882,1156,1954,2042,1686,1996,652,1386,1931,1454,887,645,1330,961,635,32,28,27,37,34,35,26,29,9,14,3,2,10,12,13,11,94,5,4,7])).
% 111.74/111.87  cnf(2060,plain,
% 111.74/111.87     (P2(x20601,f2(x20601,a3),x20601)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(2063,plain,
% 111.74/111.87     (~P2(a3,f2(f2(a1,a6),f2(a3,a3)),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[49,96,95,77,2015,2029,87,2019,2025,2030,2034,55,2033,2039,2060,1993,1808,1994,2004,1983,2002,1882,1156,1954,2042,1686,1643,1996,652,1386,1931,1454,887,645,1330,961,626,635,32,28,27,37,34,35,26,29,9,14,3,2,10,12,13,11,94,5,4,7,33,31])).
% 111.74/111.87  cnf(2074,plain,
% 111.74/111.87     (P1(f2(f4(a3),a1),f2(a3,a1),f2(a3,a1))),
% 111.74/111.87     inference(scs_inference,[],[49,1075,33])).
% 111.74/111.87  cnf(2076,plain,
% 111.74/111.87     (P1(f2(f4(x20761),a1),x20761,a3)),
% 111.74/111.87     inference(rename_variables,[],[1075])).
% 111.74/111.87  cnf(2078,plain,
% 111.74/111.87     (~P2(f4(a1),f2(f4(a1),a1),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[49,87,2049,1969,1075,2076,33,30])).
% 111.74/111.87  cnf(2080,plain,
% 111.74/111.87     (P1(x20801,x20802,f2(x20802,x20801))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(2083,plain,
% 111.74/111.87     (P2(f5(a3,a3),f2(a3,a3),f5(f2(a3,a1),f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[49,87,2028,2049,1969,1075,2076,33,30,27])).
% 111.74/111.87  cnf(2085,plain,
% 111.74/111.87     (E(f2(f4(x20851),x20851),f5(a3,a3))),
% 111.74/111.87     inference(scs_inference,[],[49,87,2080,2028,2049,1969,1075,2076,217,33,30,27,28])).
% 111.74/111.87  cnf(2087,plain,
% 111.74/111.87     (P1(x20871,x20872,f2(x20872,x20871))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(2091,plain,
% 111.74/111.87     (P1(x20911,x20912,f2(x20912,x20911))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(2094,plain,
% 111.74/111.87     (~P1(f5(f4(a3),f4(a3)),f5(a3,a3),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[49,87,2080,2087,2028,1139,2049,1969,1075,2076,1487,1241,277,693,217,128,33,30,27,28,34,36])).
% 111.74/111.87  cnf(2097,plain,
% 111.74/111.87     (~P1(f2(a3,a3),f2(a1,a6),f5(f2(a6,a7),a3))),
% 111.74/111.87     inference(scs_inference,[],[49,96,87,2080,2087,55,2028,1139,2049,1969,1075,2076,1487,1241,277,693,217,626,128,635,33,30,27,28,34,36,31])).
% 111.74/111.87  cnf(2098,plain,
% 111.74/111.87     (P2(x20981,f2(x20981,a3),x20981)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(2104,plain,
% 111.74/111.87     (E(f2(a1,a1),f5(a1,a3))),
% 111.74/111.87     inference(scs_inference,[],[49,96,87,2080,2087,55,2028,2041,1139,2049,1969,1075,2076,1487,1241,277,1205,693,217,824,626,128,635,33,30,27,28,34,36,31,26,29])).
% 111.74/111.87  cnf(2107,plain,
% 111.74/111.87     (P1(f2(a3,a1),f4(a1),f5(f4(a1),f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[49,96,77,87,2080,2087,55,2028,2041,1139,1990,2049,1969,1075,2076,1487,1241,277,1205,693,217,824,626,128,635,33,30,27,28,34,36,31,26,29,9])).
% 111.74/111.87  cnf(2108,plain,
% 111.74/111.87     (P1(x21081,x21081,f5(x21081,f2(a3,a3)))),
% 111.74/111.87     inference(rename_variables,[],[77])).
% 111.74/111.87  cnf(2109,plain,
% 111.74/111.87     (E(f5(f2(a1,a1),f2(a3,a3)),f5(a3,a1))),
% 111.74/111.87     inference(scs_inference,[],[49,96,77,87,2080,2087,55,2028,2041,2044,1139,1990,2049,1969,1075,2076,1487,1241,277,1205,693,217,824,626,128,635,33,30,27,28,34,36,31,26,29,9,2])).
% 111.74/111.87  cnf(2110,plain,
% 111.74/111.87     (~E(f2(a1,f2(a3,a1)),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[49,96,77,87,2080,2087,55,2028,2041,2044,1139,1189,1990,2049,1969,1075,2076,1487,1241,277,1205,693,217,824,626,128,635,33,30,27,28,34,36,31,26,29,9,2,14])).
% 111.74/111.87  cnf(2112,plain,
% 111.74/111.87     (~E(f5(f2(a6,a7),f5(a3,a3)),f5(a3,a3))),
% 111.74/111.87     inference(scs_inference,[],[49,96,77,87,2080,2087,55,2028,1939,2041,2044,1139,1189,1990,2049,1969,1075,2076,1487,1203,1241,277,1205,693,217,824,626,128,635,33,30,27,28,34,36,31,26,29,9,2,14,3])).
% 111.74/111.87  cnf(2114,plain,
% 111.74/111.87     (P1(f4(a1),f2(a3,a1),f5(f4(a1),f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[49,96,77,2108,87,2080,2087,55,2028,1939,2041,2044,1139,1189,1990,2049,1969,1075,2076,1487,1203,1241,277,1205,693,217,824,626,128,635,33,30,27,28,34,36,31,26,29,9,2,14,3,10])).
% 111.74/111.87  cnf(2115,plain,
% 111.74/111.87     (P1(x21151,x21151,f5(x21151,f2(a3,a3)))),
% 111.74/111.87     inference(rename_variables,[],[77])).
% 111.74/111.87  cnf(2116,plain,
% 111.74/111.87     (~P2(f5(a3,a3),f2(a3,a3),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[49,96,77,2108,87,2080,2087,55,2028,1939,1962,2041,2044,1139,1189,1746,1990,2049,1969,1075,2076,1487,1203,1241,277,1205,693,217,824,626,128,635,33,30,27,28,34,36,31,26,29,9,2,14,3,10,12])).
% 111.74/111.87  cnf(2118,plain,
% 111.74/111.87     (P2(a3,f2(f4(x21181),x21181),f2(a3,a1))),
% 111.74/111.87     inference(scs_inference,[],[49,96,77,2108,87,2080,2087,55,2028,1939,1962,2041,2044,1139,1189,1746,1990,2049,1969,1075,2076,837,1487,1203,1241,277,1205,693,217,824,626,128,635,33,30,27,28,34,36,31,26,29,9,2,14,3,10,12,13])).
% 111.74/111.87  cnf(2119,plain,
% 111.74/111.87     (P1(f2(a1,a1),x21191,f5(x21191,a3))),
% 111.74/111.87     inference(scs_inference,[],[49,96,77,2108,87,2080,2087,2091,55,2028,1939,1962,2041,2044,1139,1189,1497,1746,1990,2049,1969,1075,2076,837,1487,1203,1241,277,1205,693,217,824,626,128,635,33,30,27,28,34,36,31,26,29,9,2,14,3,10,12,13,11])).
% 111.74/111.87  cnf(2121,plain,
% 111.74/111.87     (P1(x21211,x21212,f2(x21212,x21211))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(2124,plain,
% 111.74/111.87     (P2(x21241,f2(x21241,a3),x21241)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(2126,plain,
% 111.74/111.87     (P2(f2(a3,a1),f2(f5(a1,a1),f2(a3,a3)),f2(a3,a1))),
% 111.74/111.87     inference(scs_inference,[],[49,96,77,2108,2115,87,2080,2087,2091,2121,55,2098,2124,2028,1939,1962,2041,2044,1139,1189,1497,1746,1990,2049,1458,1969,1075,2076,837,1487,1203,1241,277,1205,693,217,824,626,128,635,33,30,27,28,34,36,31,26,29,9,2,14,3,10,12,13,11,32,35])).
% 111.74/111.87  cnf(2133,plain,
% 111.74/111.87     (P1(a3,f2(a1,a1),f5(a3,a3))),
% 111.74/111.87     inference(scs_inference,[],[55,100,59,1087,33])).
% 111.74/111.87  cnf(2134,plain,
% 111.74/111.87     (P2(x21341,f2(x21341,a3),x21341)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(2137,plain,
% 111.74/111.87     (~P2(f5(a3,a3),f2(a1,f4(a3)),f4(a7))),
% 111.74/111.87     inference(scs_inference,[],[55,100,87,59,1087,595,292,33,30])).
% 111.74/111.87  cnf(2139,plain,
% 111.74/111.87     (P1(x21391,x21392,f2(x21392,x21391))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(2143,plain,
% 111.74/111.87     (P2(x21431,f2(x21431,a3),x21431)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(2146,plain,
% 111.74/111.87     (~P2(f5(a3,a3),f5(a3,f2(a3,a3)),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[55,2134,100,87,59,1935,2014,1087,595,176,292,33,30,32,27])).
% 111.74/111.87  cnf(2148,plain,
% 111.74/111.87     (~P1(a3,f5(a1,a1),f2(a1,f2(a6,a7)))),
% 111.74/111.87     inference(scs_inference,[],[55,2134,100,65,87,59,1935,2014,630,1087,595,176,292,33,30,32,27,28])).
% 111.74/111.87  cnf(2150,plain,
% 111.74/111.87     (~P1(a3,f5(f2(a1,a1),f2(a3,a3)),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[55,2134,2143,100,65,87,59,1935,2014,2116,1912,630,1087,595,176,292,33,30,32,27,28,34])).
% 111.74/111.87  cnf(2151,plain,
% 111.74/111.87     (P2(x21511,f2(x21511,a3),x21511)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(2153,plain,
% 111.74/111.87     (P2(a3,f2(a3,f4(a1)),f5(a3,a3))),
% 111.74/111.87     inference(scs_inference,[],[55,2134,2143,100,65,87,59,1935,2014,2116,1912,630,1087,622,595,176,292,449,18,33,30,32,27,28,34,37])).
% 111.74/111.87  cnf(2155,plain,
% 111.74/111.87     (P2(a3,x21551,x21551)),
% 111.74/111.87     inference(rename_variables,[],[18])).
% 111.74/111.87  cnf(2157,plain,
% 111.74/111.87     (~P1(f5(a1,a1),a1,f4(f2(a6,a7)))),
% 111.74/111.87     inference(scs_inference,[],[55,2134,2143,100,65,87,59,1935,2014,2116,1912,1211,1825,630,1087,622,595,1014,176,292,449,1311,18,33,30,32,27,28,34,37,36])).
% 111.74/111.87  cnf(2161,plain,
% 111.74/111.87     (~P1(a3,a1,f5(f2(a6,a7),f2(a3,a1)))),
% 111.74/111.87     inference(scs_inference,[],[55,2134,2143,100,65,87,2139,59,1935,2021,2014,2116,1912,1211,1825,630,1087,622,595,1014,176,292,449,1311,130,18,33,30,32,27,28,34,37,36,35])).
% 111.74/111.87  cnf(2165,plain,
% 111.74/111.87     (P1(f5(f2(a3,a3),f5(a1,a3)),a3,a3)),
% 111.74/111.87     inference(scs_inference,[],[55,2134,2143,2151,100,65,87,2139,59,1935,2021,2014,2116,1912,1211,1825,630,1869,1087,622,595,1014,176,292,449,1311,130,18,2155,33,30,32,27,28,34,37,36,35,31])).
% 111.74/111.87  cnf(2171,plain,
% 111.74/111.87     (P1(a1,a3,f5(a3,a3))),
% 111.74/111.87     inference(scs_inference,[],[55,2134,2143,2151,100,65,87,2139,59,1935,2021,2014,2116,1912,1211,1825,630,1869,1087,622,595,1014,176,292,449,1311,130,18,2155,33,30,32,27,28,34,37,36,35,31,26])).
% 111.74/111.87  cnf(2173,plain,
% 111.74/111.87     (~P2(f5(a3,a3),f5(f2(a1,a3),a3),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[55,2134,2143,2151,100,95,65,87,2139,59,1935,1777,2021,2014,2116,1912,1211,1825,630,1869,1087,622,595,1014,176,292,449,1311,130,18,2155,33,30,32,27,28,34,37,36,35,31,26,29])).
% 111.74/111.87  cnf(2175,plain,
% 111.74/111.87     (P1(f2(f2(a3,a3),a1),a1,f5(a3,a3))),
% 111.74/111.87     inference(scs_inference,[],[55,2134,2143,2151,100,95,65,87,2139,59,1935,1777,2021,2014,2116,1912,1211,1825,1662,630,1869,1087,622,595,1014,176,292,449,1311,130,18,2155,33,30,32,27,28,34,37,36,35,31,26,29,9])).
% 111.74/111.87  cnf(2176,plain,
% 111.74/111.87     (~P2(f5(a3,a3),f2(a3,a3),f2(f5(a6,a3),a7))),
% 111.74/111.87     inference(scs_inference,[],[55,2134,2143,2151,100,95,65,87,2139,59,1935,1777,2021,2014,2116,1912,1211,1825,1662,630,1869,1087,1077,622,595,1014,176,292,449,1311,130,18,2155,33,30,32,27,28,34,37,36,35,31,26,29,9,14])).
% 111.74/111.87  cnf(2178,plain,
% 111.74/111.87     (~E(f2(a6,a7),f2(a1,f2(a3,a1)))),
% 111.74/111.87     inference(scs_inference,[],[55,2134,2143,2151,100,95,65,87,2139,59,1935,1777,2021,2014,2116,2110,1912,1211,1825,1662,630,1869,1087,1077,622,595,1014,176,292,449,1311,130,18,2155,33,30,32,27,28,34,37,36,35,31,26,29,9,14,2])).
% 111.74/111.87  cnf(2179,plain,
% 111.74/111.87     (E(f2(a1,a1),f5(f2(a3,a3),a1))),
% 111.74/111.87     inference(scs_inference,[],[55,2134,2143,2151,100,95,65,87,2139,59,2104,1935,1777,2021,2014,2116,2110,1405,1912,1211,1825,1662,630,1869,1087,1077,622,595,1014,176,292,449,1311,130,18,2155,33,30,32,27,28,34,37,36,35,31,26,29,9,14,2,3])).
% 111.74/111.87  cnf(2182,plain,
% 111.74/111.87     (~P2(f2(f4(x21821),x21821),f2(a3,a3),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[55,2134,2143,2151,100,95,65,87,2139,59,2085,2104,1935,1777,2021,2014,2116,2110,1405,1912,1211,1825,1662,630,1869,1388,1087,1077,622,595,1014,176,292,449,1311,130,18,2155,33,30,32,27,28,34,37,36,35,31,26,29,9,14,2,3,10,12])).
% 111.74/111.87  cnf(2183,plain,
% 111.74/111.87     (~P2(f5(a3,a3),f2(f2(a3,a3),a3),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[55,2134,2143,2151,100,95,65,87,2139,59,2085,2104,1935,1777,2021,2014,2116,2110,2056,1405,1912,1211,1825,1662,630,1869,1388,1087,1077,622,595,1014,176,292,449,1311,130,18,2155,33,30,32,27,28,34,37,36,35,31,26,29,9,14,2,3,10,12,13])).
% 111.74/111.87  cnf(2185,plain,
% 111.74/111.87     (P1(f5(a3,a1),a1,f5(f4(a3),f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[55,2134,2143,2151,100,95,81,65,87,2139,59,2085,2104,1935,1777,2021,2014,2116,2110,2056,1405,1833,1912,1211,1825,1662,630,1869,1388,1087,1077,622,595,1014,176,292,449,1311,130,18,2155,33,30,32,27,28,34,37,36,35,31,26,29,9,14,2,3,10,12,13,11])).
% 111.74/111.87  cnf(2187,plain,
% 111.74/111.87     (E(f5(x21871,f2(a3,a3)),f5(x21871,a3))),
% 111.74/111.87     inference(scs_inference,[],[55,2134,2143,2151,100,95,81,65,87,2139,59,2085,2104,1935,1777,2021,2014,2116,2110,2056,1405,1833,1912,1211,1825,1662,630,1869,1388,1087,1077,622,595,1014,176,292,449,1311,1931,130,18,2155,33,30,32,27,28,34,37,36,35,31,26,29,9,14,2,3,10,12,13,11,8])).
% 111.74/111.87  cnf(2188,plain,
% 111.74/111.87     (E(f2(x21881,f2(a3,a3)),f2(x21881,a3))),
% 111.74/111.87     inference(scs_inference,[],[55,2134,2143,2151,100,95,81,65,87,2139,59,2085,2104,1935,1777,2021,2014,2116,2110,2056,1405,1833,1912,1211,1825,1662,630,1869,1388,1087,1077,622,595,1014,176,292,449,1311,1931,130,18,2155,33,30,32,27,28,34,37,36,35,31,26,29,9,14,2,3,10,12,13,11,8,6])).
% 111.74/111.87  cnf(2191,plain,
% 111.74/111.87     (P1(x21911,x21912,f2(x21912,x21911))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(2193,plain,
% 111.74/111.87     (P1(f2(a1,a1),f2(a1,a1),a1)),
% 111.74/111.87     inference(scs_inference,[],[71,87,59,1733,748,824,230,33,32])).
% 111.74/111.87  cnf(2194,plain,
% 111.74/111.87     (P2(f5(x21941,a3),a3,x21941)),
% 111.74/111.87     inference(rename_variables,[],[230])).
% 111.74/111.87  cnf(2196,plain,
% 111.74/111.87     (P2(f2(f2(a1,a1),f2(a1,a3)),f5(a1,a3),f5(a1,a3))),
% 111.74/111.87     inference(scs_inference,[],[71,87,59,2032,1733,748,824,230,33,32,27])).
% 111.74/111.87  cnf(2198,plain,
% 111.74/111.87     (~P1(f2(a3,a1),a1,f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[71,87,2191,59,2032,2178,1733,748,824,230,33,32,27,28])).
% 111.74/111.87  cnf(2199,plain,
% 111.74/111.87     (P1(x21991,x21992,f2(x21992,x21991))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(2201,plain,
% 111.74/111.87     (P2(x22011,f5(f2(x22011,a3),f2(a3,a3)),f2(x22011,x22011))),
% 111.74/111.87     inference(scs_inference,[],[55,77,71,87,2191,2199,59,2032,2178,1733,748,824,230,33,32,27,28,37])).
% 111.74/111.87  cnf(2202,plain,
% 111.74/111.87     (P1(x22021,x22022,f2(x22022,x22021))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(2203,plain,
% 111.74/111.87     (P1(x22031,x22031,f5(x22031,f2(a3,a3)))),
% 111.74/111.87     inference(rename_variables,[],[77])).
% 111.74/111.87  cnf(2205,plain,
% 111.74/111.87     (P2(f2(x22051,x22051),f2(x22051,a3),f5(x22051,f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[55,77,2203,71,87,2191,2199,2202,59,2032,2178,1733,748,824,230,33,32,27,28,37,34])).
% 111.74/111.87  cnf(2206,plain,
% 111.74/111.87     (P1(x22061,x22062,f2(x22062,x22061))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(2208,plain,
% 111.74/111.87     (P2(x22081,f2(x22081,a3),x22081)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(2210,plain,
% 111.74/111.87     (~P1(a3,f2(a1,a1),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[55,100,77,2203,71,87,2191,2199,2202,59,2032,2146,2178,1733,748,824,230,33,32,27,28,37,34,36])).
% 111.74/111.87  cnf(2211,plain,
% 111.74/111.87     (P1(x22111,x22111,f5(x22111,f2(a3,a3)))),
% 111.74/111.87     inference(rename_variables,[],[77])).
% 111.74/111.87  cnf(2213,plain,
% 111.74/111.87     (~P2(a3,f4(a3),f4(a7))),
% 111.74/111.87     inference(scs_inference,[],[55,100,77,2203,71,87,2191,2199,2202,2206,59,2032,2146,2178,1733,2137,748,824,230,15,33,32,27,28,37,34,36,35])).
% 111.74/111.87  cnf(2214,plain,
% 111.74/111.87     (P1(x22141,x22142,f2(x22142,x22141))),
% 111.74/111.87     inference(rename_variables,[],[87])).
% 111.74/111.87  cnf(2217,plain,
% 111.74/111.87     (~P2(f5(a6,a3),a6,f4(a7))),
% 111.74/111.87     inference(scs_inference,[],[55,2208,100,77,2203,71,87,2191,2199,2202,2206,59,2032,2146,2178,1733,2137,532,1087,748,824,230,2194,15,33,32,27,28,37,34,36,35,31])).
% 111.74/111.87  cnf(2219,plain,
% 111.74/111.87     (P2(x22191,f2(x22191,a3),x22191)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(2225,plain,
% 111.74/111.87     (P2(x22251,f2(x22251,a3),x22251)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(2228,plain,
% 111.74/111.87     (E(f2(x22281,f2(a1,a1)),x22281)),
% 111.74/111.87     inference(rename_variables,[],[1449])).
% 111.74/111.87  cnf(2229,plain,
% 111.74/111.87     (P2(a3,f2(a3,a3),f2(a3,f4(x22291)))),
% 111.74/111.87     inference(scs_inference,[],[55,2208,2219,2225,96,100,77,2203,71,87,2191,2199,2202,2206,59,2032,2097,2146,2178,1733,2137,883,1055,532,1449,1087,748,824,230,2194,15,33,32,27,28,37,34,36,35,31,26,29,9,14])).
% 111.74/111.87  cnf(2230,plain,
% 111.74/111.87     (P2(x22301,f2(x22301,a3),x22301)),
% 111.74/111.87     inference(rename_variables,[],[55])).
% 111.74/111.87  cnf(2231,plain,
% 111.74/111.87     (E(f5(f2(a3,a3),a1),f2(a1,a1))),
% 111.74/111.87     inference(scs_inference,[],[55,2208,2219,2225,96,100,77,2203,71,87,2191,2199,2202,2206,59,2032,2097,2146,2178,2179,1733,2137,883,1055,532,1449,1087,748,824,230,2194,15,33,32,27,28,37,34,36,35,31,26,29,9,14,2])).
% 111.74/111.87  cnf(2232,plain,
% 111.74/111.87     (~E(f2(a6,a7),f5(f2(a3,a3),f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[55,2208,2219,2225,96,100,77,2203,71,87,2191,2199,2202,2206,59,2032,2097,2146,2046,2178,2179,2058,1733,2137,883,1055,532,1449,1087,748,824,230,2194,15,33,32,27,28,37,34,36,35,31,26,29,9,14,2,3])).
% 111.74/111.87  cnf(2236,plain,
% 111.74/111.87     (P2(f2(a1,f5(a1,a3)),a3,f2(a1,a1))),
% 111.74/111.87     inference(scs_inference,[],[55,2208,2219,2225,96,100,77,2203,71,87,2191,2199,2202,2206,59,2032,2097,2146,2046,2178,2179,2058,1733,2137,883,1055,829,532,1449,2228,1087,748,824,230,2194,15,33,32,27,28,37,34,36,35,31,26,29,9,14,2,3,10,12])).
% 111.74/111.87  cnf(2238,plain,
% 111.74/111.87     (P2(f4(a3),f2(a1,a3),f4(a3))),
% 111.74/111.87     inference(scs_inference,[],[55,2208,2219,2225,2230,96,100,77,2203,71,87,2191,2199,2202,2206,59,2032,2097,2146,2046,2178,2179,2058,1733,2137,1401,883,1055,829,532,1449,2228,1087,748,824,230,2194,15,33,32,27,28,37,34,36,35,31,26,29,9,14,2,3,10,12,13])).
% 111.74/111.87  cnf(2243,plain,
% 111.74/111.87     (P1(f2(a1,a1),f5(a1,a3),f2(f5(a1,a3),f5(a1,a3)))),
% 111.74/111.87     inference(scs_inference,[],[55,2208,2219,2225,2230,96,100,77,2203,2211,71,87,2191,2199,2202,2206,2214,59,2032,2097,2146,2046,2178,2179,2058,1733,2137,1401,883,1055,1209,829,1613,1695,532,1449,2228,1087,748,824,230,2194,15,33,32,27,28,37,34,36,35,31,26,29,9,14,2,3,10,12,13,11,30])).
% 111.74/111.87  cnf(2248,plain,
% 111.74/111.87     (~P2(f5(a3,a3),f5(a3,f2(a3,a3)),a7)),
% 111.74/111.87     inference(scs_inference,[],[59,100,77,1976,33])).
% 111.74/111.87  cnf(2249,plain,
% 111.74/111.87     (P1(x22491,x22491,f5(x22491,f2(a3,a3)))),
% 111.74/111.87     inference(rename_variables,[],[77])).
% 111.74/111.87  cnf(2251,plain,
% 111.74/111.87     (~P2(f5(f2(a3,a3),f2(a3,a3)),f2(a3,a3),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[59,100,77,2249,1976,383,1640,33,32])).
% 111.74/111.87  cnf(2253,plain,
% 111.74/111.87     (P1(x22531,x22531,f5(x22531,f2(a3,a3)))),
% 111.74/111.87     inference(rename_variables,[],[77])).
% 111.74/111.87  cnf(2255,plain,
% 111.74/111.87     (P1(f2(a1,a1),f5(a3,a3),f2(a3,f5(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[59,101,100,77,2249,1976,383,435,1163,1640,1087,33,32,30])).
% 111.74/111.87  cnf(2256,plain,
% 111.74/111.87     (P1(x22561,x22562,f2(f5(x22561,a3),x22562))),
% 111.74/111.87     inference(rename_variables,[],[1087])).
% 111.74/111.87  cnf(2259,plain,
% 111.74/111.87     (E(a3,f2(f5(a1,a3),f5(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[59,101,100,77,2249,1976,383,435,1163,1640,1087,2256,33,32,30,28])).
% 111.74/111.87  cnf(2262,plain,
% 111.74/111.87     (~P2(f5(f2(a1,a3),a3),f5(a3,a3),f2(a6,a7))),
% 111.74/111.87     inference(scs_inference,[],[59,101,100,77,2249,2173,1976,383,435,1163,1640,1087,2256,33,32,30,28,27])).
% 111.74/111.87  cnf(2268,plain,
% 111.74/111.87     (P2(f5(a1,a3),a3,f5(f2(a1,a1),f2(a3,a3)))),
% 111.74/111.87     inference(scs_inference,[],[59,101,100,77,2249,2253,71,2173,1794,1976,383,435,1163,1640,1087,2256,1395,1263,33,32,30,28,27,37,34])).
% 111.74/111.87  cnf(2269,plain,
% 111.74/111.87     (P1(x22691,x22691,f5(x22691,f2(a3,a3)))),
% 111.74/111.88     inference(rename_variables,[],[77])).
% 111.74/111.88  cnf(2271,plain,
% 111.74/111.88     (~P2(f2(a1,a1),f2(a7,a1),f5(a6,f5(a1,a3)))),
% 111.74/111.88     inference(scs_inference,[],[59,101,100,77,2249,2253,71,2173,1794,1611,1976,1935,383,435,1163,1640,1087,2256,1395,1263,1266,23,33,32,30,28,27,37,34,36])).
% 111.74/111.88  cnf(2279,plain,
% 111.74/111.88     (E(f2(f2(a3,a1),f2(a3,a1)),f5(a3,a3))),
% 111.74/111.88     inference(scs_inference,[],[59,101,100,77,2249,2253,71,2173,1794,1611,187,1976,1935,383,1021,435,1163,1391,1561,1640,1087,2256,1395,1263,1266,23,33,32,30,28,27,37,34,36,31,29])).
% 111.74/111.88  cnf(2282,plain,
% 111.74/111.88     (P1(f2(a3,a1),f2(f4(a3),a1),f2(a3,a1))),
% 111.74/111.88     inference(scs_inference,[],[59,101,100,77,2249,2253,71,2074,2173,1794,1611,187,1976,1935,383,1021,435,1163,1391,1561,1640,1087,2256,1395,1263,1266,23,33,32,30,28,27,37,34,36,31,29,26])).
% 111.74/111.88  cnf(2284,plain,
% 111.74/111.88     (P1(f5(a1,a3),f2(a1,a1),f5(f2(a1,a1),f2(a3,a3)))),
% 111.74/111.88     inference(scs_inference,[],[59,101,100,77,2249,2253,2269,71,2074,2173,1794,1611,187,1976,2104,1935,383,1021,435,1163,1391,1561,1640,1087,2256,1395,1263,1266,23,33,32,30,28,27,37,34,36,31,29,26,9])).
% 111.74/111.88  cnf(2285,plain,
% 111.74/111.88     (P1(x22851,x22851,f5(x22851,f2(a3,a3)))),
% 111.74/111.88     inference(rename_variables,[],[77])).
% 111.74/111.88  cnf(2286,plain,
% 111.74/111.88     (P2(f2(a3,a3),a3,f5(f2(a3,a1),a3))),
% 111.74/111.88     inference(scs_inference,[],[59,101,100,77,2249,2253,2269,71,2074,2173,1972,1794,2187,1611,187,1976,2104,1935,383,1021,435,1163,1391,1561,1640,1087,2256,1395,1263,1266,23,33,32,30,28,27,37,34,36,31,29,26,9,14])).
% 111.74/111.88  cnf(2288,plain,
% 111.74/111.88     (~E(f5(a3,a3),f5(f2(a6,a7),f5(a3,a3)))),
% 111.74/111.88     inference(scs_inference,[],[59,101,100,77,2249,2253,2269,71,2074,2173,2112,1972,1794,2187,1611,187,1976,2104,1935,383,1021,435,1163,1391,1561,1640,1087,2256,1395,1263,1266,23,33,32,30,28,27,37,34,36,31,29,26,9,14,2])).
% 111.74/111.88  cnf(2289,plain,
% 111.74/111.88     (P1(a1,f5(f5(a3,a3),f2(a3,a1)),a3)),
% 111.74/111.88     inference(scs_inference,[],[59,101,100,77,2249,2253,2269,71,2074,2173,2112,1972,1794,2187,367,1611,187,1976,2104,1935,383,1021,435,1163,1391,1561,1640,1087,2256,1395,1263,1266,23,33,32,30,28,27,37,34,36,31,29,26,9,14,2,10])).
% 111.74/111.88  cnf(2290,plain,
% 111.74/111.88     (E(f5(a3,x22901),f5(f5(a3,a3),f2(x22901,a1)))),
% 111.74/111.88     inference(rename_variables,[],[367])).
% 111.74/111.88  cnf(2291,plain,
% 111.74/111.88     (~E(f5(f5(a3,a3),f2(a3,a1)),f2(a6,a7))),
% 111.74/111.88     inference(scs_inference,[],[59,101,95,100,77,2249,2253,2269,71,2074,2173,2112,1972,1794,2187,367,2290,1611,187,1976,2104,1935,383,1021,435,1163,1391,1561,1640,1087,2256,1395,1263,1266,23,33,32,30,28,27,37,34,36,31,29,26,9,14,2,10,3])).
% 111.74/111.88  cnf(2296,plain,
% 111.74/111.88     (P2(a1,f5(a3,f2(a3,a3)),f2(a1,a1))),
% 111.74/111.88     inference(scs_inference,[],[59,101,95,100,77,2249,2253,2269,71,2074,2173,2182,2112,1972,1794,2187,2188,367,2290,1611,187,1976,2104,1935,1061,383,1021,435,1163,1391,1561,1640,1087,2256,1395,1263,1266,23,33,32,30,28,27,37,34,36,31,29,26,9,14,2,10,3,12,13])).
% 111.74/111.88  cnf(2298,plain,
% 111.74/111.88     (P1(f2(a1,a1),f2(a1,a1),f5(a3,a1))),
% 111.74/111.88     inference(scs_inference,[],[59,101,95,100,77,2249,2253,2269,2285,71,2074,2173,2182,2109,2112,1972,1794,2187,2188,367,2290,1611,187,1976,2104,1935,1061,383,1021,435,1163,1391,1561,1640,1087,2256,1395,1263,1266,23,33,32,30,28,27,37,34,36,31,29,26,9,14,2,10,3,12,13,11])).
% 111.74/111.88  cnf(2300,plain,
% 111.74/111.88     (E(f2(a3,x23001),f2(f2(a3,a3),x23001))),
% 111.74/111.88     inference(scs_inference,[],[59,101,95,100,77,2249,2253,2269,2285,71,2074,2173,2182,2109,2112,1972,1794,2187,2188,367,2290,1611,187,1976,2104,1935,1061,383,1021,435,1163,1391,1561,1640,1087,2256,1395,1593,1263,1266,23,33,32,30,28,27,37,34,36,31,29,26,9,14,2,10,3,12,13,11,5])).
% 111.74/111.88  cnf(2301,plain,
% 111.74/111.88     (E(f4(a3),f4(f2(a3,a3)))),
% 111.74/111.88     inference(scs_inference,[],[59,101,95,100,77,2249,2253,2269,2285,71,2074,2173,2182,2109,2112,1972,1794,2187,2188,367,2290,1611,187,1976,2104,1935,1061,383,1021,435,1163,1391,1561,1640,1087,2256,1395,1593,1263,1266,23,33,32,30,28,27,37,34,36,31,29,26,9,14,2,10,3,12,13,11,5,4])).
% 111.74/111.88  cnf(2302,plain,
% 111.74/111.88     (E(f5(a3,x23021),f5(f2(a3,a3),x23021))),
% 111.74/111.88     inference(scs_inference,[],[59,101,95,100,77,2249,2253,2269,2285,71,2074,2173,2182,2109,2112,1972,1794,2187,2188,367,2290,1611,187,1976,2104,1935,1061,383,1021,435,1163,1391,1561,1640,1087,2256,1395,1593,1263,1266,23,33,32,30,28,27,37,34,36,31,29,26,9,14,2,10,3,12,13,11,5,4,7])).
% 111.74/111.88  cnf(2306,plain,
% 111.74/111.88     (~P1(a1,f5(a3,a3),f5(f2(a6,a7),a3))),
% 111.74/111.88     inference(scs_inference,[],[101,372,28])).
% 111.74/111.88  cnf(2308,plain,
% 111.74/111.88     (P1(f2(a3,a3),a1,f5(f2(a3,a1),f2(a3,a3)))),
% 111.74/111.88     inference(scs_inference,[],[101,100,2083,2201,735,372,28,30])).
% 111.74/111.88  cnf(2311,plain,
% 111.74/111.88     (P2(f2(x23111,f2(a3,a3)),x23111,x23111)),
% 111.74/111.88     inference(scs_inference,[],[101,100,2050,2083,2201,735,372,28,30,27])).
% 111.74/111.88  cnf(2313,plain,
% 111.74/111.88     (~P1(f2(a3,a1),f5(f2(a3,a1),f2(a3,a3)),f2(a6,a7))),
% 111.74/111.88     inference(scs_inference,[],[101,100,87,2050,2083,2183,2201,735,1025,372,28,30,27,37])).
% 111.74/111.88  cnf(2314,plain,
% 111.74/111.88     (P1(x23141,x23142,f2(x23142,x23141))),
% 111.74/111.88     inference(rename_variables,[],[87])).
% 111.74/111.88  cnf(2316,plain,
% 111.74/111.88     (P2(f5(a3,a3),f4(a1),f5(a3,a3))),
% 111.74/111.88     inference(scs_inference,[],[101,100,87,2050,2083,2183,2201,735,1025,372,449,20,28,30,27,37,34])).
% 111.74/111.88  cnf(2324,plain,
% 111.74/111.88     (~P1(f5(a3,a3),f5(f4(a3),f4(a3)),f2(a6,a7))),
% 111.74/111.88     inference(scs_inference,[],[101,96,100,87,2050,2083,2094,2183,2201,735,1025,372,1950,449,626,635,20,28,30,27,37,34,31,26])).
% 111.74/111.88  cnf(2326,plain,
% 111.74/111.88     (~P2(f2(a3,a3),f2(a3,a3),f2(a6,a7))),
% 111.74/111.88     inference(scs_inference,[],[101,96,100,87,2050,2083,2094,2183,2201,2205,735,2002,1025,372,1950,449,626,635,20,28,30,27,37,34,31,26,29])).
% 111.74/111.88  cnf(2329,plain,
% 111.74/111.88     (P1(f2(f5(a1,a3),a1),f5(a3,a3),a3)),
% 111.74/111.88     inference(scs_inference,[],[101,96,100,87,2050,2083,2094,2183,2201,2205,735,2002,1025,372,1950,134,449,626,635,20,28,30,27,37,34,31,26,29,9])).
% 111.74/111.88  cnf(2332,plain,
% 111.74/111.88     (E(f5(x23321,f2(a1,x23322)),f5(x23321,x23322))),
% 111.74/111.88     inference(rename_variables,[],[1511])).
% 111.74/111.88  cnf(2333,plain,
% 111.74/111.88     (E(f5(f2(a3,a3),f2(a1,a1)),f2(a1,a1))),
% 111.74/111.88     inference(scs_inference,[],[101,96,100,87,2050,2083,2094,2183,2231,2201,1511,2332,2205,362,735,2002,1025,372,1950,134,449,626,635,20,28,30,27,37,34,31,26,29,9,14,3])).
% 111.74/111.88  cnf(2334,plain,
% 111.74/111.88     (E(f5(x23341,f2(a1,x23342)),f5(x23341,x23342))),
% 111.74/111.88     inference(rename_variables,[],[1511])).
% 111.74/111.88  cnf(2335,plain,
% 111.74/111.88     (E(f5(a3,a3),f2(f2(a3,a1),f2(a3,a1)))),
% 111.74/111.88     inference(scs_inference,[],[101,96,100,87,2050,2083,2094,2183,2231,2279,2201,1511,2332,2205,362,735,2002,1025,372,1950,134,449,626,635,20,28,30,27,37,34,31,26,29,9,14,3,2])).
% 111.74/111.88  cnf(2336,plain,
% 111.74/111.88     (P1(a1,f5(f2(a3,a3),a3),a3)),
% 111.74/111.88     inference(scs_inference,[],[101,96,100,87,2050,2083,2094,2183,2231,2279,2201,1511,2332,2205,2302,362,735,2002,1025,372,1950,134,449,626,635,20,28,30,27,37,34,31,26,29,9,14,3,2,10])).
% 111.74/111.88  cnf(2340,plain,
% 111.74/111.88     (~E(f5(a3,a3),f5(f2(a6,a7),f2(a3,a1)))),
% 111.74/111.88     inference(scs_inference,[],[101,96,100,87,2050,2083,2262,2094,2183,2231,2279,2201,1511,2332,2334,2205,2302,362,735,2161,2002,1025,372,1950,134,449,626,635,20,28,30,27,37,34,31,26,29,9,14,3,2,10,12,11])).
% 111.74/111.88  cnf(2343,plain,
% 111.74/111.88     (~P1(a3,a1,a1)+P1(a3,f2(a1,a1),f2(a1,a1))),
% 111.74/111.88     inference(scs_inference,[],[59,101,96,100,77,87,2050,2083,2262,2094,2183,2231,2279,2201,1511,2332,2334,2205,2302,2078,362,1404,735,2296,2161,2002,1025,372,1950,134,449,626,635,20,28,30,27,37,34,31,26,29,9,14,3,2,10,12,11,13,33])).
% 111.74/111.88  cnf(2346,plain,
% 111.74/111.88     (P2(a3,f2(f5(a3,a3),f2(a3,a3)),a3)),
% 111.74/111.88     inference(scs_inference,[],[59,101,96,100,77,87,2050,2083,2262,2094,2183,2231,2279,2201,1511,2332,2334,2205,2302,2078,362,1404,735,2296,2161,2002,1025,372,1950,134,449,626,635,20,17,28,30,27,37,34,31,26,29,9,14,3,2,10,12,11,13,33,36])).
% 111.74/111.88  cnf(2350,plain,
% 111.74/111.88     (P2(f5(a1,a3),f5(a3,a3),f2(a1,f2(a1,a1)))),
% 111.74/111.88     inference(scs_inference,[],[59,101,96,100,77,71,87,2314,2050,2083,2262,2094,2183,2231,2279,2201,1511,2332,2334,2205,2302,2078,362,1404,735,2296,2161,2002,1025,372,1950,134,449,626,635,20,17,28,30,27,37,34,31,26,29,9,14,3,2,10,12,11,13,33,36,35])).
% 111.74/111.88  cnf(2355,plain,
% 111.74/111.88     (P1(a3,f5(f2(a3,a3),f5(a1,a1)),a3)),
% 111.74/111.88     inference(scs_inference,[],[65,2311,1454,1266,33])).
% 111.74/111.88  cnf(2356,plain,
% 111.74/111.88     (P2(f2(x23561,f2(a3,a3)),x23561,x23561)),
% 111.74/111.88     inference(rename_variables,[],[2311])).
% 111.74/111.88  cnf(2361,plain,
% 111.74/111.88     (P1(x23611,x23612,f2(x23612,x23611))),
% 111.74/111.88     inference(rename_variables,[],[87])).
% 111.74/111.88  cnf(2363,plain,
% 111.74/111.88     (~P2(a7,f2(a1,a1),f2(a1,a1))),
% 111.74/111.88     inference(scs_inference,[],[65,87,2311,2291,2193,1454,250,1266,33,28,37])).
% 111.74/111.88  cnf(2365,plain,
% 111.74/111.88     (~P2(a1,f2(a7,a1),f5(a6,a1))),
% 111.74/111.88     inference(scs_inference,[],[65,87,2361,2311,2291,2271,1379,2193,1454,250,1266,33,28,37,34])).
% 111.74/111.88  cnf(2369,plain,
% 111.74/111.88     (~P2(f2(a3,a3),f5(f2(a3,a3),f2(a3,a3)),f2(a6,a7))),
% 111.74/111.88     inference(scs_inference,[],[65,87,2361,2311,2251,2291,2271,1379,2193,1454,250,1266,33,28,37,34,27])).
% 111.74/111.88  cnf(2371,plain,
% 111.74/111.88     (~P1(a3,f2(a1,a1),f2(a1,f2(a6,a7)))),
% 111.74/111.88     inference(scs_inference,[],[65,87,2361,2311,2251,2291,2271,1379,2193,1454,817,250,1395,1266,15,33,28,37,34,27,36])).
% 111.74/111.88  cnf(2375,plain,
% 111.74/111.88     (P1(f2(a1,a1),f5(a1,a3),f5(f2(a1,a1),f2(a3,a3)))),
% 111.74/111.88     inference(scs_inference,[],[65,87,2361,2284,2311,2251,2291,2271,1379,2193,1454,817,250,1395,1266,15,33,28,37,34,27,36,26])).
% 111.74/111.88  cnf(2378,plain,
% 111.74/111.88     (P2(f2(x23781,f2(a3,a3)),x23781,x23781)),
% 111.74/111.88     inference(rename_variables,[],[2311])).
% 111.74/111.88  cnf(2381,plain,
% 111.74/111.88     (E(f5(x23811,f2(x23811,a3)),x23811)),
% 111.74/111.88     inference(rename_variables,[],[1200])).
% 111.74/111.88  cnf(2382,plain,
% 111.74/111.88     (E(f2(a3,a1),f2(f2(a3,a3),f4(a3)))),
% 111.74/111.88     inference(scs_inference,[],[65,95,96,87,2361,2284,2311,2356,2251,2291,2271,2300,1379,1466,2193,1454,817,1200,250,1395,1266,15,33,28,37,34,27,36,26,29,9,3])).
% 111.74/111.88  cnf(2383,plain,
% 111.74/111.88     (E(f2(a3,x23831),f2(f2(a3,a3),x23831))),
% 111.74/111.88     inference(rename_variables,[],[2300])).
% 111.74/111.88  cnf(2385,plain,
% 111.74/111.88     (~E(f5(f2(a6,a7),f2(a3,a1)),f5(a3,a3))),
% 111.74/111.88     inference(scs_inference,[],[65,95,96,87,2361,2284,2311,2356,2340,2251,2291,2271,2300,1379,1466,2193,1454,817,1200,250,1395,1266,15,33,28,37,34,27,36,26,29,9,3,2])).
% 111.74/111.88  cnf(2386,plain,
% 111.74/111.88     (P2(f2(f2(a1,a1),f2(a3,a3)),f2(a1,a1),f5(a1,a3))),
% 111.74/111.88     inference(scs_inference,[],[65,95,96,87,2361,2284,2311,2356,2378,2340,2251,2291,2271,2300,1379,1466,2193,2104,1454,817,1200,250,1395,1266,15,33,28,37,34,27,36,26,29,9,3,2,14])).
% 111.74/111.88  cnf(2387,plain,
% 111.74/111.88     (P2(f2(x23871,f2(a3,a3)),x23871,x23871)),
% 111.74/111.88     inference(rename_variables,[],[2311])).
% 111.74/111.88  cnf(2390,plain,
% 111.74/111.88     (P2(f2(f2(a3,a3),f2(a3,a3)),a3,a3)),
% 111.74/111.88     inference(scs_inference,[],[65,95,96,87,2361,2284,2311,2356,2378,2387,2340,2251,2291,2271,2300,2383,1379,1466,2193,2104,1454,817,1200,2381,250,1395,1266,15,33,28,37,34,27,36,26,29,9,3,2,14,10,12])).
% 111.74/111.88  cnf(2391,plain,
% 111.74/111.88     (P2(f2(x23911,f2(a3,a3)),x23911,x23911)),
% 111.74/111.88     inference(rename_variables,[],[2311])).
% 111.74/111.88  cnf(2397,plain,
% 111.74/111.88     (E(f5(x23971,x23972),f5(x23971,f2(a1,x23972)))),
% 111.74/111.88     inference(scs_inference,[],[65,95,96,87,2361,2284,2311,2356,2378,2387,2391,2340,2251,2291,2271,2300,2383,1379,1466,2193,1664,2104,1454,817,1200,2381,250,1395,1266,463,15,33,28,37,34,27,36,26,29,9,3,2,14,10,12,13,11,8])).
% 111.74/111.88  cnf(2398,plain,
% 111.74/111.88     (E(f2(x23981,f2(x23982,a1)),f2(x23981,x23982))),
% 111.74/111.88     inference(scs_inference,[],[65,95,96,87,2361,2284,2311,2356,2378,2387,2391,2340,2251,2291,2271,2300,2383,1379,1466,2193,1664,2104,1454,817,1200,2381,250,1395,1266,463,826,15,33,28,37,34,27,36,26,29,9,3,2,14,10,12,13,11,8,6])).
% 111.74/111.88  cnf(2413,plain,
% 111.74/111.88     (P1(a1,f5(f2(a1,a1),f2(a3,a3)),f2(a1,a1))),
% 111.74/111.88     inference(scs_inference,[],[87,1955,1606,17,33])).
% 111.74/111.88  cnf(2414,plain,
% 111.74/111.88     (P1(x24141,x24142,f2(x24142,x24141))),
% 111.74/111.88     inference(rename_variables,[],[87])).
% 111.74/111.88  cnf(2417,plain,
% 111.74/111.88     (P1(f2(a3,a3),f2(f5(a3,a3),a1),f2(a3,a1))),
% 111.74/111.88     inference(scs_inference,[],[87,1955,1770,1606,1638,437,408,17,33,32])).
% 111.74/111.88  cnf(2421,plain,
% 111.74/111.88     (E(a3,f2(f5(a1,a1),a3))),
% 111.74/111.88     inference(scs_inference,[],[65,87,2414,1955,1770,1606,1638,437,408,17,33,32,28])).
% 111.97/111.88  cnf(2422,plain,
% 111.97/111.88     (P1(x24221,x24222,f2(x24222,x24221))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2429,plain,
% 111.97/111.88     (P2(f2(a1,a1),f2(f2(a1,a1),f2(a3,a3)),f5(a1,a3))),
% 111.97/111.88     inference(scs_inference,[],[65,87,2414,2386,2119,1955,1770,1606,2217,1638,437,408,1391,1454,17,33,32,28,34,27])).
% 111.97/111.88  cnf(2432,plain,
% 111.97/111.88     (P2(f2(x24321,f2(a3,a3)),x24321,x24321)),
% 111.97/111.88     inference(rename_variables,[],[2311])).
% 111.97/111.88  cnf(2434,plain,
% 111.97/111.88     (P2(f2(a3,a3),f2(f2(a1,a3),f2(a3,a3)),f2(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[65,71,87,2414,2422,2386,2119,1955,1770,2238,1606,2217,1638,2311,809,437,408,1391,1454,17,33,32,28,34,27,37,36])).
% 111.97/111.88  cnf(2435,plain,
% 111.97/111.88     (P1(x24351,x24352,f2(x24352,x24351))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2438,plain,
% 111.97/111.88     (P1(x24381,x24382,f2(x24382,x24381))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2440,plain,
% 111.97/111.88     (~P1(f5(f2(a3,a1),f2(a3,a3)),f2(a3,a1),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[65,71,87,2414,2422,2435,2386,2313,2326,2011,2119,1955,1770,2238,1606,2217,1638,2311,809,437,408,1391,1454,17,33,32,28,34,27,37,36,35,26])).
% 111.97/111.88  cnf(2442,plain,
% 111.97/111.88     (E(f5(a1,a3),f2(a1,a1))),
% 111.97/111.88     inference(scs_inference,[],[65,71,87,2414,2422,2435,2386,2313,2326,2011,2119,1955,1770,2238,1606,2217,1638,2311,2432,809,437,408,1391,1454,17,33,32,28,34,27,37,36,35,26,29])).
% 111.97/111.88  cnf(2446,plain,
% 111.97/111.88     (E(f2(a1,a1),f5(f2(a3,a3),f2(a1,a1)))),
% 111.97/111.88     inference(scs_inference,[],[65,102,71,87,2414,2422,2435,2333,2386,2313,2326,2335,2011,2119,1955,1770,2238,1606,2217,1638,2311,2432,809,437,408,1391,1454,17,33,32,28,34,27,37,36,35,26,29,9,2])).
% 111.97/111.88  cnf(2447,plain,
% 111.97/111.88     (P2(f5(a1,a3),f5(a3,a3),f2(a1,a1))),
% 111.97/111.88     inference(scs_inference,[],[65,102,71,87,2414,2422,2435,2333,2386,2313,2326,2350,2335,2398,2011,2119,1955,1770,2238,1606,2217,1638,2311,2432,809,437,408,1391,1454,17,33,32,28,34,27,37,36,35,26,29,9,2,14])).
% 111.97/111.88  cnf(2448,plain,
% 111.97/111.88     (E(f2(x24481,f2(x24482,a1)),f2(x24481,x24482))),
% 111.97/111.88     inference(rename_variables,[],[2398])).
% 111.97/111.88  cnf(2449,plain,
% 111.97/111.88     (~E(f2(f2(a3,a1),f2(a3,a1)),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[65,102,95,71,87,2414,2422,2435,2333,2386,2313,2326,2350,2335,2398,2011,2119,1955,1770,2238,1606,2217,1638,2311,2432,809,437,408,1391,1454,17,33,32,28,34,27,37,36,35,26,29,9,2,14,3])).
% 111.97/111.88  cnf(2451,plain,
% 111.97/111.88     (~P2(f2(a3,f2(a3,a1)),f2(a3,a3),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[65,102,95,101,71,87,2414,2422,2435,2333,2386,2313,2326,2350,2335,2398,2448,2011,2119,1955,1770,2238,1606,2217,1638,2311,2432,809,437,408,1391,1454,17,33,32,28,34,27,37,36,35,26,29,9,2,14,3,10,12])).
% 111.97/111.88  cnf(2453,plain,
% 111.97/111.88     (P1(a3,a1,f2(f2(a3,a1),f2(a3,a1)))),
% 111.97/111.88     inference(scs_inference,[],[65,102,95,101,100,71,87,2414,2422,2435,2333,2386,2313,2326,2350,2335,2398,2448,2011,2119,1955,1770,2238,1606,2217,1638,2311,2432,809,437,408,1391,1454,17,33,32,28,34,27,37,36,35,26,29,9,2,14,3,10,12,11])).
% 111.97/111.88  cnf(2454,plain,
% 111.97/111.88     (P2(f5(a1,a3),f5(f2(a1,a3),f2(a1,a3)),f5(a1,a3))),
% 111.97/111.88     inference(scs_inference,[],[65,102,95,101,100,71,87,2414,2422,2435,2333,2386,1854,2313,2326,2350,2335,2397,2398,2448,2011,2119,1955,1770,2238,1606,2217,1638,2311,2432,809,437,408,1391,1454,17,33,32,28,34,27,37,36,35,26,29,9,2,14,3,10,12,11,13])).
% 111.97/111.88  cnf(2456,plain,
% 111.97/111.88     (~P2(f2(a6,a3),f2(a6,a3),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[65,102,95,101,96,100,71,87,2414,2422,2435,2438,2333,2386,1854,2313,2326,2350,2335,2397,2398,2448,2011,2119,1955,1770,2238,1606,2217,1638,2311,2432,809,437,408,1391,1454,16,17,33,32,28,34,27,37,36,35,26,29,9,2,14,3,10,12,11,13,30])).
% 111.97/111.88  cnf(2465,plain,
% 111.97/111.88     (P1(x24651,x24652,f2(x24652,x24651))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2467,plain,
% 111.97/111.88     (P1(f2(a1,a1),f5(a1,a3),f2(a1,a1))),
% 111.97/111.88     inference(scs_inference,[],[101,87,2429,637,2050,403,230,33,32])).
% 111.97/111.88  cnf(2470,plain,
% 111.97/111.88     (~P1(f5(a3,a3),a1,f2(f2(a6,a1),a7))),
% 111.97/111.88     inference(scs_inference,[],[102,101,87,2429,637,1731,2050,403,230,33,32,28])).
% 111.97/111.88  cnf(2472,plain,
% 111.97/111.88     (~P2(f5(a1,a3),f5(a1,a3),f4(f2(a6,a7)))),
% 111.97/111.88     inference(scs_inference,[],[71,102,101,87,2429,637,2157,1731,2050,403,230,128,33,32,28,30])).
% 111.97/111.88  cnf(2475,plain,
% 111.97/111.88     (P2(f5(a1,a3),f5(a3,a3),f5(f2(a1,a1),f2(a3,a3)))),
% 111.97/111.88     inference(scs_inference,[],[71,102,77,101,87,2429,2447,637,2157,1731,1724,2050,403,230,128,33,32,28,30,34])).
% 111.97/111.88  cnf(2482,plain,
% 111.97/111.88     (P1(x24821,x24822,f2(x24822,x24821))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2484,plain,
% 111.97/111.88     (~P1(a1,f2(x24841,f4(x24841)),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[71,104,102,77,101,87,2465,2429,2447,2451,637,2157,2043,1557,2171,1806,1731,1724,2050,403,1395,230,128,17,33,32,28,30,34,27,37,36])).
% 111.97/111.88  cnf(2487,plain,
% 111.97/111.88     (~P2(a3,a3,f2(a1,a7))),
% 111.97/111.88     inference(scs_inference,[],[71,104,102,77,101,87,2465,2482,2429,2447,2451,2456,637,2157,2043,1557,2171,1806,1731,1724,2050,1950,403,1395,230,128,17,33,32,28,30,34,27,37,36,35])).
% 111.97/111.88  cnf(2492,plain,
% 111.97/111.88     (P1(f2(f5(a3,a3),a1),f2(a3,a3),f2(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[71,104,102,77,101,87,2465,2482,2429,2447,2417,2451,2456,637,2157,2043,1557,2171,1806,1731,1724,2050,1950,403,1395,230,128,17,33,32,28,30,34,27,37,36,35,26])).
% 111.97/111.88  cnf(2497,plain,
% 111.97/111.88     (E(x24971,f5(f2(x24971,a1),a3))),
% 111.97/111.88     inference(rename_variables,[],[763])).
% 111.97/111.88  cnf(2498,plain,
% 111.97/111.88     (~E(f2(a6,a7),f2(f2(a3,a1),f2(a3,a1)))),
% 111.97/111.88     inference(scs_inference,[],[71,104,102,77,101,87,2465,2482,2429,2447,2417,2451,2456,2449,637,2157,2043,1557,2171,1806,968,763,1731,1724,2050,1950,403,1395,230,128,17,33,32,28,30,34,27,37,36,35,26,29,9,2])).
% 111.97/111.88  cnf(2499,plain,
% 111.97/111.88     (~P2(f5(a3,a3),a3,f2(a6,f2(a1,a7)))),
% 111.97/111.88     inference(scs_inference,[],[71,104,102,77,101,87,2465,2482,2429,2447,2417,2451,2456,2449,637,2157,2043,1557,2171,1806,968,1774,763,1731,1724,2050,1950,403,1395,230,128,17,33,32,28,30,34,27,37,36,35,26,29,9,2,14])).
% 111.97/111.88  cnf(2500,plain,
% 111.97/111.88     (E(f2(x25001,f2(a1,x25002)),f2(x25001,x25002))),
% 111.97/111.88     inference(rename_variables,[],[1774])).
% 111.97/111.88  cnf(2501,plain,
% 111.97/111.88     (E(f5(a1,a3),f5(f2(a3,a3),f2(a1,a1)))),
% 111.97/111.88     inference(scs_inference,[],[71,104,102,77,101,87,2465,2482,2429,2442,2446,2447,2417,2451,2456,2449,637,2157,2043,1557,2171,1806,968,1774,763,1731,1724,2050,1950,403,1395,230,128,17,33,32,28,30,34,27,37,36,35,26,29,9,2,14,3])).
% 111.97/111.88  cnf(2506,plain,
% 111.97/111.88     (~E(f5(f2(a1,a3),a3),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[71,104,102,77,101,87,2465,2482,2429,2442,2446,2447,2417,1979,2451,2456,2449,637,2157,2043,1557,2171,1806,968,1774,2500,763,2497,1731,1724,2050,1950,1175,403,1395,230,128,17,33,32,28,30,34,27,37,36,35,26,29,9,2,14,3,10,12,11])).
% 111.97/111.88  cnf(2509,plain,
% 111.97/111.88     (E(f4(f2(a1,x25091)),f4(x25091))),
% 111.97/111.88     inference(scs_inference,[],[71,104,102,77,101,87,2465,2482,2429,2442,2446,2447,2417,1979,2451,2456,2449,637,2157,2043,1557,2171,1806,968,1774,2500,763,2497,1731,1724,2050,1950,861,1175,403,1395,230,557,128,17,33,32,28,30,34,27,37,36,35,26,29,9,2,14,3,10,12,11,13,4])).
% 111.97/111.88  cnf(2510,plain,
% 111.97/111.88     (E(f5(f2(a1,x25101),x25102),f5(x25101,x25102))),
% 111.97/111.88     inference(scs_inference,[],[71,104,102,77,101,87,2465,2482,2429,2442,2446,2447,2417,1979,2451,2456,2449,637,2157,2043,1557,2171,1806,968,1774,2500,763,2497,1731,1724,2050,1950,861,1175,403,1395,230,557,128,17,33,32,28,30,34,27,37,36,35,26,29,9,2,14,3,10,12,11,13,4,7])).
% 111.97/111.88  cnf(2513,plain,
% 111.97/111.88     (~P2(f5(f2(a3,a1),f2(a3,a3)),f2(a3,a3),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[77,645,1640,32])).
% 111.97/111.88  cnf(2515,plain,
% 111.97/111.88     (P1(x25151,x25151,f5(x25151,f2(a3,a3)))),
% 111.97/111.88     inference(rename_variables,[],[77])).
% 111.97/111.88  cnf(2517,plain,
% 111.97/111.88     (P1(f5(a3,a3),a1,f2(f4(a3),f2(a3,a1)))),
% 111.97/111.88     inference(scs_inference,[],[102,77,996,645,277,1640,32,30])).
% 111.97/111.88  cnf(2519,plain,
% 111.97/111.88     (P2(f5(f2(x25191,x25191),f2(a3,a3)),f4(x25191),f5(a1,a3))),
% 111.97/111.88     inference(scs_inference,[],[71,102,77,2515,996,136,645,277,1640,32,30,34])).
% 111.97/111.88  cnf(2520,plain,
% 111.97/111.88     (P1(x25201,x25201,f5(x25201,f2(a3,a3)))),
% 111.97/111.88     inference(rename_variables,[],[77])).
% 111.97/111.88  cnf(2522,plain,
% 111.97/111.88     (P2(f2(f2(a1,a3),f2(a3,a3)),f2(a3,a3),f2(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[71,102,77,2515,2434,996,136,645,277,1640,32,30,34,27])).
% 111.97/111.88  cnf(2536,plain,
% 111.97/111.88     (E(f5(x25361,f5(a3,a3)),x25361)),
% 111.97/111.88     inference(rename_variables,[],[1330])).
% 111.97/111.88  cnf(2537,plain,
% 111.97/111.88     (E(f5(f2(a3,a3),f2(a1,a1)),f5(a1,a3))),
% 111.97/111.88     inference(scs_inference,[],[71,102,95,77,2515,96,87,2434,2501,2506,2023,2472,996,1218,136,645,277,1640,1330,17,32,30,34,27,28,36,29,26,9,2])).
% 111.97/111.88  cnf(2538,plain,
% 111.97/111.88     (P2(f5(a1,a3),f5(a3,a3),f5(a1,f2(a3,a3)))),
% 111.97/111.88     inference(scs_inference,[],[71,102,95,77,2515,96,87,2434,2475,2501,2506,2023,2510,2472,996,1218,136,645,277,1640,1330,17,32,30,34,27,28,36,29,26,9,2,14])).
% 111.97/111.88  cnf(2539,plain,
% 111.97/111.88     (E(f5(f2(a1,x25391),x25392),f5(x25391,x25392))),
% 111.97/111.88     inference(rename_variables,[],[2510])).
% 111.97/111.88  cnf(2541,plain,
% 111.97/111.88     (E(f5(f2(a1,x25411),x25412),f5(x25411,x25412))),
% 111.97/111.88     inference(rename_variables,[],[2510])).
% 111.97/111.88  cnf(2544,plain,
% 111.97/111.88     (P2(f2(f2(a3,a1),f5(a3,a3)),f2(a3,a3),f2(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[71,86,102,95,77,2515,96,87,2434,2475,2501,2506,1286,2023,140,2510,2539,2472,996,1218,642,136,645,277,1640,1330,2536,17,32,30,34,27,28,36,29,26,9,2,14,3,10,12])).
% 111.97/111.88  cnf(2546,plain,
% 111.97/111.88     (P2(f5(a1,a3),f5(a3,f2(a1,a3)),f5(a1,a3))),
% 111.97/111.88     inference(scs_inference,[],[71,86,102,95,77,2515,96,87,2434,2454,2475,2501,2506,1286,2023,140,2510,2539,2541,2472,996,1218,642,136,645,277,1640,1330,2536,17,32,30,34,27,28,36,29,26,9,2,14,3,10,12,13])).
% 111.97/111.88  cnf(2552,plain,
% 111.97/111.88     (P1(f2(a3,f4(x25521)),f2(a3,a1),f2(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[71,86,102,104,95,77,2515,2520,96,87,2434,2454,2475,2501,2506,1286,2023,140,2510,2539,2541,2472,2316,2229,996,1218,2201,642,1954,1738,136,645,277,1640,1330,2536,17,32,30,34,27,28,36,29,26,9,2,14,3,10,12,13,11,37,31])).
% 111.97/111.88  cnf(2559,plain,
% 111.97/111.88     (~P2(f2(a3,a3),f5(f2(a3,a1),f2(a3,a3)),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[2513,27])).
% 111.97/111.88  cnf(2566,plain,
% 111.97/111.88     (E(f5(x25661,f2(a3,a3)),f2(x25661,x25661))),
% 111.97/111.88     inference(scs_inference,[],[77,87,2513,1792,232,415,17,27,37,28])).
% 111.97/111.88  cnf(2567,plain,
% 111.97/111.88     (P1(x25671,x25672,f2(x25672,x25671))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2569,plain,
% 111.97/111.88     (P2(f2(a3,a3),f5(a3,f2(a3,a3)),f2(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[77,87,2513,1792,232,802,415,493,17,27,37,28,35])).
% 111.97/111.88  cnf(2571,plain,
% 111.97/111.88     (P1(x25711,x25711,f5(x25711,f2(a3,a3)))),
% 111.97/111.88     inference(rename_variables,[],[77])).
% 111.97/111.88  cnf(2574,plain,
% 111.97/111.88     (P1(f2(a1,a1),f2(f5(a1,a1),a1),f2(a1,a1))),
% 111.97/111.88     inference(scs_inference,[],[77,87,2513,1792,1948,299,232,1273,802,415,493,1391,17,27,37,28,35,31])).
% 111.97/111.88  cnf(2578,plain,
% 111.97/111.88     (P1(f5(a1,a3),f2(a1,a1),f2(f5(a1,a3),f5(a1,a3)))),
% 111.97/111.88     inference(scs_inference,[],[77,87,2243,2513,1792,1948,299,232,1273,802,415,493,1391,17,27,37,28,35,31,26])).
% 111.97/111.88  cnf(2580,plain,
% 111.97/111.88     (E(f5(a1,f2(a3,a3)),a1)),
% 111.97/111.88     inference(scs_inference,[],[77,87,2243,2513,1792,1948,299,2205,232,1271,1273,802,415,493,1391,17,27,37,28,35,31,26,29])).
% 111.97/111.88  cnf(2584,plain,
% 111.97/111.88     (P1(f2(a1,a1),f5(a1,a3),f5(f5(a1,a3),f2(a3,a3)))),
% 111.97/111.88     inference(scs_inference,[],[77,2571,87,2243,2513,1792,1948,299,2442,2205,232,1271,1273,802,415,493,1391,17,27,37,28,35,31,26,29,9])).
% 111.97/111.88  cnf(2585,plain,
% 111.97/111.88     (P1(x25851,x25851,f5(x25851,f2(a3,a3)))),
% 111.97/111.88     inference(rename_variables,[],[77])).
% 111.97/111.88  cnf(2586,plain,
% 111.97/111.88     (~E(f5(a6,f2(a6,a7)),f2(a6,a1))),
% 111.97/111.88     inference(scs_inference,[],[77,2571,87,2243,2513,1792,1940,1948,299,2442,2205,232,1271,1273,802,415,493,1391,17,27,37,28,35,31,26,29,9,2])).
% 111.97/111.88  cnf(2587,plain,
% 111.97/111.88     (P2(f5(f2(x25871,x25871),f2(a3,a3)),f4(x25871),f2(a1,a1))),
% 111.97/111.88     inference(scs_inference,[],[77,2571,87,2519,2243,2513,1792,1940,1948,299,2442,2205,232,1271,1273,802,415,493,1391,17,27,37,28,35,31,26,29,9,2,14])).
% 111.97/111.88  cnf(2588,plain,
% 111.97/111.88     (~E(f5(a3,f2(a3,a1)),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[77,2571,95,87,2519,2243,2513,1792,1940,1948,299,2442,267,2205,232,1271,1273,802,415,493,1391,17,27,37,28,35,31,26,29,9,2,14,3])).
% 111.97/111.88  cnf(2590,plain,
% 111.97/111.88     (P1(f5(a1,a3),f2(a1,a1),f5(f5(a1,a3),f2(a3,a3)))),
% 111.97/111.88     inference(scs_inference,[],[77,2571,2585,95,87,2519,2243,2513,1792,1940,1948,299,2442,267,2205,232,1271,1273,802,415,493,1391,17,27,37,28,35,31,26,29,9,2,14,3,10])).
% 111.97/111.88  cnf(2591,plain,
% 111.97/111.88     (P1(x25911,x25911,f5(x25911,f2(a3,a3)))),
% 111.97/111.88     inference(rename_variables,[],[77])).
% 111.97/111.88  cnf(2594,plain,
% 111.97/111.88     (P2(f5(a1,a3),f2(f4(a3),f2(a1,a3)),f5(a1,a3))),
% 111.97/111.88     inference(scs_inference,[],[77,2571,2585,104,95,87,2519,2243,2513,1865,1792,1940,1815,1831,1948,299,2442,267,2205,232,1271,1273,802,415,493,1391,17,27,37,28,35,31,26,29,9,2,14,3,10,12,13])).
% 111.97/111.88  cnf(2596,plain,
% 111.97/111.88     (P1(a1,a3,f2(f2(a3,a3),f4(a3)))),
% 111.97/111.88     inference(scs_inference,[],[77,2571,2585,104,95,87,2567,2519,2243,2513,1865,1792,2382,1940,1815,1831,1948,299,2442,267,2205,232,1271,1273,802,415,493,1391,17,27,37,28,35,31,26,29,9,2,14,3,10,12,13,11])).
% 111.97/111.88  cnf(2597,plain,
% 111.97/111.88     (P1(x25971,x25972,f2(x25972,x25971))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2598,plain,
% 111.97/111.88     (E(f5(x25981,f5(x25982,a3)),f5(x25981,x25982))),
% 111.97/111.88     inference(scs_inference,[],[77,2571,2585,104,95,87,2567,2519,2243,2513,1865,1792,2382,1940,1815,1831,1948,299,2442,267,2205,232,1271,1273,802,415,493,1391,127,17,27,37,28,35,31,26,29,9,2,14,3,10,12,13,11,8])).
% 111.97/111.88  cnf(2603,plain,
% 111.97/111.88     (P2(a3,f2(f5(a1,a1),f2(a3,a3)),a3)),
% 111.97/111.88     inference(scs_inference,[],[77,2571,2585,2591,107,104,95,87,2567,2519,2243,2513,2126,1865,1792,2382,1940,1815,1831,1948,1445,299,2442,267,2205,2316,232,1271,1273,802,2050,415,493,1391,127,17,27,37,28,35,31,26,29,9,2,14,3,10,12,13,11,8,32,34])).
% 111.97/111.88  cnf(2609,plain,
% 111.97/111.88     (~P2(f5(a1,a3),f5(a1,a3),f5(a1,a3))+P2(f2(a1,a1),f2(a1,a1),f2(a1,a1))),
% 111.97/111.88     inference(scs_inference,[],[77,2571,2585,2591,107,104,95,87,2567,2597,2519,2522,2243,2513,2126,1865,1792,2382,1940,1815,1831,1948,1445,299,2467,2442,267,2205,2316,232,1271,1273,802,2050,415,493,1391,127,17,27,37,28,35,31,26,29,9,2,14,3,10,12,13,11,8,32,34,30,36])).
% 111.97/111.88  cnf(2612,plain,
% 111.97/111.88     (P1(x26121,x26122,f2(x26122,x26121))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2616,plain,
% 111.97/111.88     (P2(f5(a3,a3),f5(a1,a3),f5(a1,f2(a3,a3)))),
% 111.97/111.88     inference(scs_inference,[],[102,87,2538,2363,2236,778,403,30,34,27])).
% 111.97/111.88  cnf(2622,plain,
% 111.97/111.88     (~P1(f5(a3,a3),a1,f2(a1,f2(a6,a7)))),
% 111.97/111.88     inference(scs_inference,[],[102,87,2612,2538,2363,2236,2487,630,778,403,18,30,34,27,37,28])).
% 111.97/111.88  cnf(2624,plain,
% 111.97/111.88     (~P1(f5(a3,a3),f2(f5(a1,a1),a1),f2(a1,a7))),
% 111.97/111.88     inference(scs_inference,[],[102,87,2612,2538,2363,2236,2487,630,778,1391,403,18,30,34,27,37,28,36])).
% 111.97/111.88  cnf(2627,plain,
% 111.97/111.88     (~P1(a6,a7,f5(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[102,87,2612,2538,2018,2363,2236,2487,630,778,1391,403,18,30,34,27,37,28,36,26])).
% 111.97/111.88  cnf(2629,plain,
% 111.97/111.88     (~P2(f5(f2(x26291,x26291),f2(a3,a3)),f4(x26291),f4(a7))),
% 111.97/111.88     inference(scs_inference,[],[102,87,2612,2538,2587,2018,2363,2236,2487,1944,630,778,1391,403,18,30,34,27,37,28,36,26,29])).
% 111.97/111.88  cnf(2633,plain,
% 111.97/111.88     (E(f2(x26331,x26331),f5(x26331,f2(a3,a3)))),
% 111.97/111.88     inference(scs_inference,[],[102,87,2612,2538,2566,2587,2018,2363,2236,2487,771,1944,630,778,1391,403,18,30,34,27,37,28,36,26,29,9,2])).
% 111.97/111.88  cnf(2636,plain,
% 111.97/111.88     (E(f5(f4(a3),f2(a3,a3)),f2(a1,a1))),
% 111.97/111.88     inference(scs_inference,[],[102,104,87,2612,2538,2566,2587,2018,1403,2363,2236,2487,771,2398,1944,630,778,1391,403,18,30,34,27,37,28,36,26,29,9,2,14,3])).
% 111.97/111.88  cnf(2638,plain,
% 111.97/111.88     (E(f5(x26381,f2(a3,a3)),f2(x26381,x26381))),
% 111.97/111.88     inference(rename_variables,[],[2566])).
% 111.97/111.88  cnf(2639,plain,
% 111.97/111.88     (P1(f5(a3,a3),f5(f2(a1,a1),a3),a3)),
% 111.97/111.88     inference(scs_inference,[],[102,104,87,2612,2538,2566,2587,2018,1403,2363,2236,2487,771,2398,1944,1141,630,778,1391,403,18,30,34,27,37,28,36,26,29,9,2,14,3,10])).
% 111.97/111.88  cnf(2645,plain,
% 111.97/111.88     (P1(f5(a3,a1),a1,f2(a1,a1))),
% 111.97/111.88     inference(scs_inference,[],[102,104,81,87,2612,2538,2566,2638,2587,2018,2598,664,1403,2363,2236,2487,771,2398,1944,1141,630,778,1449,1391,403,18,30,34,27,37,28,36,26,29,9,2,14,3,10,12,13,11])).
% 111.97/111.88  cnf(2651,plain,
% 111.97/111.88     (~P1(f2(f2(a3,a1),a1),f2(a3,a1),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[77,107,102,104,81,87,2612,2538,2566,2638,2587,2559,2018,2598,947,664,1403,2363,2236,2487,771,2398,1944,1141,630,778,472,500,1449,1391,403,18,30,34,27,37,28,36,26,29,9,2,14,3,10,12,13,11,32,35])).
% 111.97/111.88  cnf(2655,plain,
% 111.97/111.88     (P1(a3,a3,a3)+~P1(f2(a3,a3),f2(a3,a3),f2(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[77,107,102,104,81,87,2612,2538,2566,2638,2587,2559,2018,2598,947,664,1403,2363,2236,1101,2487,771,2398,1944,1141,630,778,472,500,1449,1391,403,18,30,34,27,37,28,36,26,29,9,2,14,3,10,12,13,11,32,35,31])).
% 111.97/111.88  cnf(2657,plain,
% 111.97/111.88     (~P1(a6,f5(a7,a3),f5(f2(a1,a3),a3))),
% 111.97/111.88     inference(scs_inference,[],[1848,510,230,16,32])).
% 111.97/111.88  cnf(2661,plain,
% 111.97/111.88     (~P2(f2(a1,a1),f4(a1),f4(a7))),
% 111.97/111.88     inference(scs_inference,[],[2375,2629,1848,510,158,230,15,16,32,34])).
% 111.97/111.88  cnf(2668,plain,
% 111.97/111.88     (P2(f2(f2(a1,a3),f4(a3)),f2(a3,a3),f2(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[2375,1399,2629,1848,1798,510,158,472,230,15,16,32,34,27,37])).
% 111.97/111.88  cnf(2671,plain,
% 111.97/111.88     (P1(x26711,x26712,f2(x26712,x26711))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2675,plain,
% 111.97/111.88     (P1(x26751,x26752,f2(x26752,x26751))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2684,plain,
% 111.97/111.88     (P1(f5(a3,a3),f2(a1,a1),f2(a3,f5(a3,a3)))),
% 111.97/111.88     inference(scs_inference,[],[87,2671,2375,1399,2369,2588,2255,1301,2629,2153,1848,2627,1798,239,510,158,437,472,230,626,635,15,16,32,34,27,37,28,35,31,29,26])).
% 111.97/111.88  cnf(2686,plain,
% 111.97/111.88     (~P1(f2(f2(a3,a1),f2(a3,a1)),f2(a3,a1),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[87,2671,2375,2633,1399,2440,2369,2588,2255,1301,2629,2153,1848,2627,1798,239,510,158,437,472,230,626,635,15,16,32,34,27,37,28,35,31,29,26,9])).
% 111.97/111.88  cnf(2687,plain,
% 111.97/111.88     (E(f2(x26871,x26871),f5(x26871,f2(a3,a3)))),
% 111.97/111.88     inference(rename_variables,[],[2633])).
% 111.97/111.88  cnf(2688,plain,
% 111.97/111.88     (~E(f2(a6,a7),f5(a3,f2(a3,a1)))),
% 111.97/111.88     inference(scs_inference,[],[87,2671,2375,2633,1399,2440,2369,2588,2255,1301,2629,2153,1848,2627,1798,239,510,158,437,472,230,626,635,15,16,32,34,27,37,28,35,31,29,26,9,2])).
% 111.97/111.88  cnf(2689,plain,
% 111.97/111.88     (P2(f5(a3,a3),f5(a1,a3),a1)),
% 111.97/111.88     inference(scs_inference,[],[87,2671,2375,2616,2633,1399,2440,2369,2588,2255,1301,2629,2153,2580,1848,2627,1798,239,510,158,437,472,230,626,635,15,16,32,34,27,37,28,35,31,29,26,9,2,14])).
% 111.97/111.88  cnf(2690,plain,
% 111.97/111.88     (~E(f2(a6,a7),f2(f2(a3,a3),f2(a3,a3)))),
% 111.97/111.88     inference(scs_inference,[],[87,2671,2375,2616,2633,2687,1399,2440,2369,2232,2588,2255,1301,2629,2153,2580,1848,2627,1798,239,510,158,437,472,230,626,635,15,16,32,34,27,37,28,35,31,29,26,9,2,14,3])).
% 111.97/111.88  cnf(2691,plain,
% 111.97/111.88     (E(f2(x26911,x26911),f5(x26911,f2(a3,a3)))),
% 111.97/111.88     inference(rename_variables,[],[2633])).
% 111.97/111.88  cnf(2692,plain,
% 111.97/111.88     (~P1(f2(x26921,a1),f4(x26921),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[107,87,2671,2375,2616,2633,2687,1399,2440,2369,2232,2588,2255,1301,896,2629,2153,2580,1848,2627,1798,239,510,158,437,472,230,626,635,15,16,32,34,27,37,28,35,31,29,26,9,2,14,3,10])).
% 111.97/111.88  cnf(2693,plain,
% 111.97/111.88     (~P1(x26931,f4(x26931),f2(a6,a7))),
% 111.97/111.88     inference(rename_variables,[],[107])).
% 111.97/111.88  cnf(2694,plain,
% 111.97/111.88     (P2(f5(f2(a3,a3),f2(a3,a3)),a3,a3)),
% 111.97/111.88     inference(scs_inference,[],[107,87,2671,2375,2616,2633,2687,2691,1399,2440,2369,2232,2588,2255,1301,896,2629,2153,2580,1848,2390,2627,1798,239,510,158,437,472,230,626,635,15,16,32,34,27,37,28,35,31,29,26,9,2,14,3,10,12])).
% 111.97/111.88  cnf(2695,plain,
% 111.97/111.88     (E(f2(x26951,x26951),f5(x26951,f2(a3,a3)))),
% 111.97/111.88     inference(rename_variables,[],[2633])).
% 111.97/111.88  cnf(2696,plain,
% 111.97/111.88     (P2(f5(x26961,a3),f5(f4(x26961),f2(a3,a3)),f2(a1,a1))),
% 111.97/111.88     inference(scs_inference,[],[107,87,2671,2375,2616,2633,2687,2691,2695,1399,2440,2369,2232,2588,2255,1301,896,1331,2629,2153,2580,1848,2390,2627,1798,239,510,158,437,472,230,626,635,15,16,32,34,27,37,28,35,31,29,26,9,2,14,3,10,12,13])).
% 111.97/111.88  cnf(2698,plain,
% 111.97/111.88     (~P1(x26981,f4(x26981),f2(f5(a6,a3),a7))),
% 111.97/111.88     inference(scs_inference,[],[107,2693,87,2671,2375,2616,2633,2687,2691,2695,1399,2440,2369,2232,2588,2255,1301,896,1331,2629,2153,2580,1848,2390,2627,1798,239,510,158,1077,437,472,230,626,635,15,16,32,34,27,37,28,35,31,29,26,9,2,14,3,10,12,13,11])).
% 111.97/111.88  cnf(2700,plain,
% 111.97/111.88     (E(f4(f5(x27001,a3)),f4(x27001))),
% 111.97/111.88     inference(scs_inference,[],[107,2693,87,2671,2375,2616,2633,2687,2691,2695,1399,2440,2369,2232,2588,2255,1301,896,1331,2629,2153,2580,1848,2390,2627,1798,239,510,158,1077,437,472,230,626,127,635,15,16,32,34,27,37,28,35,31,29,26,9,2,14,3,10,12,13,11,4])).
% 111.97/111.88  cnf(2701,plain,
% 111.97/111.88     (~P2(f2(a3,a1),f2(a3,f2(a3,a1)),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[107,2693,87,2671,2675,2375,2616,2633,2687,2691,2695,2282,1399,2440,2369,2232,2588,2255,1301,896,1331,2198,2629,2153,2580,1848,2390,2627,1798,239,510,158,1077,765,437,472,230,626,127,635,15,16,32,34,27,37,28,35,31,29,26,9,2,14,3,10,12,13,11,4,33])).
% 111.97/111.88  cnf(2711,plain,
% 111.97/111.88     (P2(f5(x27111,a3),a3,x27111)),
% 111.97/111.88     inference(rename_variables,[],[230])).
% 111.97/111.88  cnf(2714,plain,
% 111.97/111.88     (P2(f2(f4(a3),f2(a1,a3)),f5(a1,a3),f5(a1,a3))),
% 111.97/111.88     inference(scs_inference,[],[102,2594,2624,1391,230,33,27])).
% 111.97/111.88  cnf(2716,plain,
% 111.97/111.88     (P2(f5(a3,a3),f2(f5(a1,a3),a3),f5(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[102,100,87,2594,2624,2689,1391,230,2711,33,27,37])).
% 111.97/111.88  cnf(2718,plain,
% 111.97/111.88     (P1(x27181,x27182,f2(x27182,x27181))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2720,plain,
% 111.97/111.88     (P1(a3,a1,f2(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[102,100,87,2569,2594,2624,2689,2694,735,772,1391,230,2711,33,27,37,30])).
% 111.97/111.88  cnf(2723,plain,
% 111.97/111.88     (E(f2(x27231,x27231),f5(f2(a3,a3),x27231))),
% 111.97/111.88     inference(scs_inference,[],[102,100,87,2718,2569,2594,2624,2689,2694,735,772,389,1391,230,2711,33,27,37,30,28])).
% 111.97/111.88  cnf(2725,plain,
% 111.97/111.88     (P1(x27251,x27252,f2(x27252,x27251))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2731,plain,
% 111.97/111.88     (~P1(f2(a1,f2(a6,a7)),a1,a3)),
% 111.97/111.88     inference(scs_inference,[],[104,102,100,87,2718,2569,2594,2624,1095,2689,2694,735,772,758,389,130,1391,230,2711,626,15,33,27,37,30,28,36,35])).
% 111.97/111.88  cnf(2735,plain,
% 111.97/111.88     (E(f5(f2(a1,x27351),a3),f2(x27351,a1))),
% 111.97/111.88     inference(scs_inference,[],[104,102,100,87,2718,2569,2594,2624,1095,2689,2694,1885,735,772,758,389,1738,130,1391,230,2711,626,15,33,27,37,30,28,36,35,29])).
% 111.97/111.88  cnf(2739,plain,
% 111.97/111.88     (P1(x27391,x27392,f2(x27392,x27391))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2744,plain,
% 111.97/111.88     (P1(f2(f5(a1,a3),f5(a3,a3)),a1,f5(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[104,102,100,87,2718,2725,2569,2651,2594,2624,1095,2689,2259,2694,976,1885,735,772,758,389,1738,130,1391,230,2711,128,626,15,33,27,37,30,28,36,35,29,31,26,9])).
% 111.97/111.88  cnf(2745,plain,
% 111.97/111.88     (E(f2(a1,a1),f5(f4(a3),f2(a3,a3)))),
% 111.97/111.88     inference(scs_inference,[],[104,102,100,87,2718,2725,2569,2636,2651,2594,2624,1095,2689,2259,2694,976,1885,735,772,758,389,1738,130,1391,230,2711,128,626,15,33,27,37,30,28,36,35,29,31,26,9,2])).
% 111.97/111.88  cnf(2746,plain,
% 111.97/111.88     (P2(f5(a3,a3),f5(a1,a3),f2(f2(a1,a1),a1))),
% 111.97/111.88     inference(scs_inference,[],[104,102,100,87,2718,2725,2569,2636,2651,2594,2624,1095,2689,2259,2694,976,1550,1885,735,772,758,389,1738,130,1391,230,2711,128,626,15,33,27,37,30,28,36,35,29,31,26,9,2,14])).
% 111.97/111.88  cnf(2748,plain,
% 111.97/111.88     (~E(f5(f2(a6,a1),f2(a6,a7)),f2(a6,a1))),
% 111.97/111.88     inference(scs_inference,[],[104,102,100,87,2718,2725,2569,2636,2651,2594,2624,2586,1095,2689,2259,2694,976,895,1550,1885,735,772,758,389,1738,130,1391,230,2711,128,626,15,33,27,37,30,28,36,35,29,31,26,9,2,14,3])).
% 111.97/111.88  cnf(2750,plain,
% 111.97/111.88     (P1(x27501,f2(f5(a1,a3),f5(a3,a3)),f2(a3,x27501))),
% 111.97/111.88     inference(scs_inference,[],[104,102,100,87,2718,2725,2739,2569,2636,2651,2594,2624,2586,1095,2689,2259,2694,976,895,1550,1885,735,772,758,389,1738,130,1391,230,2711,128,626,15,33,27,37,30,28,36,35,29,31,26,9,2,14,3,10])).
% 111.97/111.88  cnf(2752,plain,
% 111.97/111.88     (~P2(f5(f4(a3),f2(a3,a3)),f4(a1),f4(a7))),
% 111.97/111.88     inference(scs_inference,[],[104,102,100,87,2718,2725,2739,2569,2636,2651,2594,2624,2586,1095,2661,2689,2259,2694,976,895,1550,1885,735,772,758,389,1738,130,1391,230,2711,128,626,15,33,27,37,30,28,36,35,29,31,26,9,2,14,3,10,12])).
% 111.97/111.88  cnf(2753,plain,
% 111.97/111.88     (P2(f4(a1),f4(a3),f2(a1,a1))),
% 111.97/111.88     inference(scs_inference,[],[109,104,102,100,87,2718,2725,2739,2569,2636,2651,2594,2624,2586,379,1095,2661,2689,2259,2694,976,895,1550,1885,735,772,758,389,1738,130,1391,230,2711,128,626,15,33,27,37,30,28,36,35,29,31,26,9,2,14,3,10,12,13])).
% 111.97/111.88  cnf(2754,plain,
% 111.97/111.88     (P1(f5(f4(a3),a3),f4(a3),f2(a1,a1))),
% 111.97/111.88     inference(scs_inference,[],[109,104,102,100,87,2718,2725,2739,2569,2636,2651,2594,2624,2586,379,1499,1095,2661,2689,2259,2694,976,895,1550,1885,735,772,758,389,1738,130,1391,230,2711,128,626,15,33,27,37,30,28,36,35,29,31,26,9,2,14,3,10,12,13,11])).
% 111.97/111.88  cnf(2761,plain,
% 111.97/111.88     (P1(f5(f4(a3),a3),a1,f2(a1,a1))),
% 111.97/111.88     inference(scs_inference,[],[2696,1499,232,217,33])).
% 111.97/111.88  cnf(2764,plain,
% 111.97/111.88     (P1(x27641,f4(x27641),f5(a3,a3))),
% 111.97/111.88     inference(rename_variables,[],[217])).
% 111.97/111.88  cnf(2767,plain,
% 111.97/111.88     (~P2(f2(a3,a3),f2(f4(x27671),x27671),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[87,2118,2696,1499,232,217,1175,33,32])).
% 111.97/111.88  cnf(2768,plain,
% 111.97/111.88     (P1(x27681,x27682,f2(x27682,x27681))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2770,plain,
% 111.97/111.88     (~P2(f2(a3,f2(a3,a1)),f2(a3,a1),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[87,2701,2118,2696,1499,232,217,1175,33,32,27])).
% 111.97/111.88  cnf(2772,plain,
% 111.97/111.88     (P1(f2(a3,a3),f5(f2(a3,a3),f5(a1,a1)),f2(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[87,2701,2355,2118,2696,1499,232,608,217,1175,33,32,27,30])).
% 111.97/111.88  cnf(2777,plain,
% 111.97/111.88     (P1(x27771,x27772,f2(x27772,x27771))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2783,plain,
% 111.97/111.88     (P1(f2(a1,a1),f2(a1,a1),f2(f5(a1,a3),f5(a1,a3)))),
% 111.97/111.88     inference(scs_inference,[],[95,104,102,87,2768,2777,2716,2701,2355,2118,2696,1499,691,1603,393,232,1209,608,217,2764,1175,33,32,27,30,28,36,29,31])).
% 111.97/111.88  cnf(2784,plain,
% 111.97/111.88     (P1(x27841,x27842,f2(x27842,x27841))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2787,plain,
% 111.97/111.88     (P1(f2(a1,a1),f5(a3,a1),f5(a1,f2(a3,a3)))),
% 111.97/111.88     inference(scs_inference,[],[95,104,102,87,2768,2777,2716,2701,1597,2355,2118,2696,1499,691,1603,393,232,1209,608,217,2764,1175,33,32,27,30,28,36,29,31,26])).
% 111.97/111.88  cnf(2789,plain,
% 111.97/111.88     (~E(f5(a3,a3),f2(a1,f2(a6,a7)))),
% 111.97/111.88     inference(scs_inference,[],[95,104,102,87,2768,2777,2716,2701,1597,2355,2118,2731,2696,1499,691,1603,393,232,1209,608,217,2764,1175,33,32,27,30,28,36,29,31,26,9])).
% 111.97/111.88  cnf(2790,plain,
% 111.97/111.88     (~E(f2(f2(a3,a3),f2(a3,a3)),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[95,104,102,87,2768,2777,2716,2701,2690,1597,2355,2118,2731,2696,1499,691,1603,393,232,1209,608,217,2764,1175,33,32,27,30,28,36,29,31,26,9,2])).
% 111.97/111.88  cnf(2793,plain,
% 111.97/111.88     (E(f2(f2(a1,a1),f2(a1,a1)),f5(a1,a3))),
% 111.97/111.88     inference(scs_inference,[],[95,104,102,87,2768,2777,2537,2723,2716,2701,2690,1597,2355,2118,2731,2696,1499,691,1603,393,1613,232,1209,608,217,2764,1175,33,32,27,30,28,36,29,31,26,9,2,14,3])).
% 111.97/111.88  cnf(2795,plain,
% 111.97/111.88     (P1(f5(a3,a3),f5(x27951,f4(x27951)),a3)),
% 111.97/111.88     inference(scs_inference,[],[95,104,102,87,2768,2777,2537,2723,2716,2701,2690,1597,2355,2118,2731,2696,1499,691,490,1603,393,1613,232,1209,608,217,2764,1175,33,32,27,30,28,36,29,31,26,9,2,14,3,10])).
% 111.97/111.88  cnf(2798,plain,
% 111.97/111.88     (~P2(f2(a3,a1),f2(a3,a3),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[95,104,102,87,2768,2777,2537,2723,2716,2701,2690,1829,1597,2355,2118,2731,2696,699,893,1499,691,490,1603,393,1613,232,1209,608,217,2764,1175,33,32,27,30,28,36,29,31,26,9,2,14,3,10,12,13])).
% 111.97/111.88  cnf(2800,plain,
% 111.97/111.88     (~E(f2(f4(x28001),x28001),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[107,95,104,102,87,2768,2777,2784,2537,2723,2716,2701,2690,1829,1597,2355,2118,2731,2696,699,893,1499,691,490,1603,393,1613,232,1209,608,217,2764,1175,33,32,27,30,28,36,29,31,26,9,2,14,3,10,12,13,11])).
% 111.97/111.88  cnf(2804,plain,
% 111.97/111.88     (~E(f4(a7),a6)),
% 111.97/111.88     inference(scs_inference,[],[107,95,104,102,87,2768,2777,2784,2537,2723,2716,2701,2690,1829,1597,2355,2118,2731,2696,699,893,1499,691,490,1603,393,1613,232,1209,608,217,2764,1175,33,32,27,30,28,36,29,31,26,9,2,14,3,10,12,13,11,34,5])).
% 111.97/111.88  cnf(2807,plain,
% 111.97/111.88     (P1(a1,f2(a1,a1),a1)),
% 111.97/111.88     inference(scs_inference,[],[109,87,964,17,33])).
% 111.97/111.88  cnf(2809,plain,
% 111.97/111.88     (P1(x28091,x28092,f2(x28092,x28091))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2817,plain,
% 111.97/111.88     (P1(x28171,x28172,f2(x28172,x28171))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2818,plain,
% 111.97/111.88     (~P1(x28181,f4(x28181),f2(a6,a7))),
% 111.97/111.88     inference(rename_variables,[],[107])).
% 111.97/111.88  cnf(2821,plain,
% 111.97/111.88     (P2(f5(a1,a3),f5(a3,a3),f2(f2(a1,a1),a1))),
% 111.97/111.88     inference(scs_inference,[],[109,107,102,87,2809,2746,1777,1027,964,265,802,17,33,34,32,27])).
% 111.97/111.88  cnf(2823,plain,
% 111.97/111.88     (~P1(f5(f2(a3,a1),a3),a1,f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[109,107,102,87,2809,2817,2746,2767,2286,1777,1027,136,964,265,802,17,33,34,32,27,37])).
% 111.97/111.88  cnf(2825,plain,
% 111.97/111.88     (P1(x28251,x28252,f2(x28252,x28251))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2828,plain,
% 111.97/111.88     (P1(f2(a3,a1),a1,f5(f2(a3,a1),a3))),
% 111.97/111.88     inference(scs_inference,[],[109,107,102,87,2809,2817,2746,2767,2286,2720,1777,1027,136,964,265,887,802,17,33,34,32,27,37,30])).
% 111.97/111.88  cnf(2831,plain,
% 111.97/111.88     (P1(x28311,x28312,f2(x28312,x28311))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2833,plain,
% 111.97/111.88     (P2(a3,f2(a1,f2(a1,a3)),a3)),
% 111.97/111.88     inference(scs_inference,[],[109,107,102,87,2809,2817,2825,2831,2746,2767,2790,2286,2720,1777,1629,1027,136,964,265,887,802,17,33,34,32,27,37,30,28,35])).
% 111.97/111.88  cnf(2839,plain,
% 111.97/111.88     (P1(a3,f2(a1,a1),f2(f5(a3,a3),f2(a3,a3)))),
% 111.97/111.88     inference(scs_inference,[],[109,107,102,87,2809,2817,2825,2831,2746,2767,2790,2286,2346,2720,2804,1777,1742,1629,1027,288,136,964,1163,265,887,802,437,17,33,34,32,27,37,30,28,35,29,31])).
% 111.97/111.88  cnf(2845,plain,
% 111.97/111.88     (~P1(f2(a3,f2(a3,a1)),f2(a3,a1),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[109,107,102,87,2809,2817,2825,2831,2746,2767,2790,2686,2286,2346,2720,2804,1777,894,1742,1629,1027,288,136,964,1163,265,887,802,437,17,33,34,32,27,37,30,28,35,29,31,26,9])).
% 111.97/111.88  cnf(2847,plain,
% 111.97/111.88     (E(f5(a1,a3),f2(f2(a1,a1),f2(a1,a1)))),
% 111.97/111.88     inference(scs_inference,[],[109,107,102,87,2809,2817,2825,2831,2793,2746,2767,2790,2686,2286,2346,2720,2804,1777,894,1742,1629,1027,288,136,964,1163,265,887,802,437,17,33,34,32,27,37,30,28,35,29,31,26,9,2])).
% 111.97/111.88  cnf(2850,plain,
% 111.97/111.88     (P2(f5(a1,a3),a3,f5(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[109,107,102,87,2809,2817,2825,2831,2793,2746,2767,2790,2686,2509,2268,2286,2346,2720,1321,2804,1777,2109,894,1742,1629,1027,288,136,964,1163,265,887,802,437,17,33,34,32,27,37,30,28,35,29,31,26,9,2,3,14])).
% 111.97/111.88  cnf(2851,plain,
% 111.97/111.88     (~P1(f2(a1,x28511),f4(x28511),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[109,107,2818,102,87,2809,2817,2825,2831,2793,2746,2767,2790,2686,1155,2509,2268,2286,2346,2720,1321,2804,1777,2109,894,1742,1629,1027,288,136,964,1163,265,887,802,437,17,33,34,32,27,37,30,28,35,29,31,26,9,2,3,14,10])).
% 111.97/111.88  cnf(2852,plain,
% 111.97/111.88     (~P1(x28521,f4(x28521),f2(a6,a7))),
% 111.97/111.88     inference(rename_variables,[],[107])).
% 111.97/111.88  cnf(2853,plain,
% 111.97/111.88     (P2(f5(a3,a1),a3,f2(a1,a1))),
% 111.97/111.88     inference(scs_inference,[],[109,107,2818,102,87,2809,2817,2825,2831,2793,2746,2767,2790,2686,1155,2509,1031,2268,2286,2346,2720,1321,2804,1776,1777,2109,894,1742,1629,1027,288,136,964,1163,265,887,802,437,17,33,34,32,27,37,30,28,35,29,31,26,9,2,3,14,10,12])).
% 111.97/111.88  cnf(2856,plain,
% 111.97/111.88     (P2(a3,f2(a3,a1),a3)),
% 111.97/111.88     inference(scs_inference,[],[109,107,2818,102,87,2809,2817,2825,2831,2793,2746,2767,2790,2686,1155,2509,1031,2268,2286,2346,2720,675,1321,2804,1776,1916,1777,2109,894,1742,1629,1027,288,136,964,1163,265,887,802,437,17,33,34,32,27,37,30,28,35,29,31,26,9,2,3,14,10,12,13])).
% 111.97/111.88  cnf(2858,plain,
% 111.97/111.88     (~P1(x28581,f4(x28581),f2(f2(a1,a6),a7))),
% 111.97/111.88     inference(scs_inference,[],[109,107,2818,2852,102,87,2809,2817,2825,2831,2793,2746,2767,2790,2686,1155,2509,1031,2268,2286,2346,2720,675,1321,2804,1776,1916,1777,2109,894,1742,1629,1664,1027,288,136,964,1163,265,887,802,437,17,33,34,32,27,37,30,28,35,29,31,26,9,2,3,14,10,12,13,11])).
% 111.97/111.88  cnf(2863,plain,
% 111.97/111.88     (P1(x28631,x28632,f2(x28632,x28631))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2866,plain,
% 111.97/111.88     (~P2(f5(a3,a3),f4(a1),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[87,107,100,2770,2856,1189,500,449,34,32])).
% 111.97/111.88  cnf(2870,plain,
% 111.97/111.88     (~P2(f2(a3,a3),f2(a3,a1),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[87,107,100,2770,2798,2856,1189,500,449,34,32,27])).
% 111.97/111.88  cnf(2875,plain,
% 111.97/111.88     (E(f2(x28751,x28752),f2(f2(x28752,x28751),a1))),
% 111.97/111.88     inference(scs_inference,[],[87,2863,107,100,2770,2798,1587,2856,1275,1189,500,449,128,34,32,27,30,28])).
% 111.97/111.88  cnf(2878,plain,
% 111.97/111.88     (P2(f2(a1,a3),f2(a1,a3),f2(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[87,2863,107,100,2770,2798,1587,2856,1275,1189,1011,326,500,449,128,34,32,27,30,28,35])).
% 111.97/111.88  cnf(2881,plain,
% 111.97/111.88     (P1(x28811,x28812,f2(x28812,x28811))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2885,plain,
% 111.97/111.88     (E(f2(f2(a3,a1),f2(a3,a1)),f2(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[87,2863,107,101,100,2770,2798,1587,2856,1275,1189,187,2716,1011,326,619,1738,500,449,128,34,32,27,30,28,35,36,29])).
% 111.97/111.88  cnf(2888,plain,
% 111.97/111.88     (P1(f5(f2(a3,a3),f5(a1,a1)),f2(a3,a3),f2(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[87,2863,107,101,100,2772,2770,2798,1587,2856,1275,1189,187,2716,1011,326,619,1738,500,449,128,34,32,27,30,28,35,36,29,26])).
% 111.97/111.88  cnf(2890,plain,
% 111.97/111.88     (P1(f2(f5(a1,a1),a3),x28901,f2(x28901,a3))),
% 111.97/111.88     inference(scs_inference,[],[87,2863,2881,107,101,100,2772,2770,2798,1587,2421,2856,1275,1189,187,2716,1011,326,619,1738,500,449,128,34,32,27,30,28,35,36,29,26,9])).
% 111.97/111.88  cnf(2891,plain,
% 111.97/111.88     (P1(x28911,x28912,f2(x28912,x28911))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2892,plain,
% 111.97/111.88     (~E(f2(a6,a7),f2(f4(x28921),x28921))),
% 111.97/111.88     inference(scs_inference,[],[87,2863,2881,107,101,100,2772,2770,2798,2800,1587,2421,2856,1275,1189,187,2716,1011,326,619,1738,500,449,128,34,32,27,30,28,35,36,29,26,9,2])).
% 111.97/111.88  cnf(2895,plain,
% 111.97/111.88     (P1(x28951,f2(f5(a1,a1),a3),f2(a3,x28951))),
% 111.97/111.88     inference(scs_inference,[],[87,2863,2881,2891,107,101,100,2772,2770,2798,2800,1587,2421,2856,1604,1153,1275,1189,187,2716,1011,326,619,1738,500,449,128,34,32,27,30,28,35,36,29,26,9,2,3,10])).
% 111.97/111.88  cnf(2897,plain,
% 111.97/111.88     (P2(f5(a3,a1),a3,f5(f4(a3),f2(a3,a3)))),
% 111.97/111.88     inference(scs_inference,[],[87,2863,2881,2891,107,101,100,2745,2772,2770,2798,2800,1587,2853,2421,2856,1604,1153,1275,1189,187,2716,1011,326,619,1738,500,449,128,34,32,27,30,28,35,36,29,26,9,2,3,10,14])).
% 111.97/111.88  cnf(2900,plain,
% 111.97/111.88     (~E(f2(f4(a1),f4(a1)),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[87,2863,2881,2891,121,107,104,101,100,2745,2772,2770,2798,2800,1953,1587,2853,2421,2856,1604,1153,1275,1189,187,2716,1011,326,619,1738,500,449,128,34,32,27,30,28,35,36,29,26,9,2,3,10,14,12,13])).
% 111.97/111.88  cnf(2901,plain,
% 111.97/111.88     (P1(f4(a3),f2(f4(a3),a1),f4(a3))),
% 111.97/111.88     inference(scs_inference,[],[87,2863,2881,2891,121,107,104,101,100,2745,2772,2770,2798,2800,1660,1574,1953,1587,2853,2421,2856,1604,1153,1275,1189,187,2716,1011,326,619,1738,500,449,128,34,32,27,30,28,35,36,29,26,9,2,3,10,14,12,13,11])).
% 111.97/111.88  cnf(2915,plain,
% 111.97/111.88     (P2(a3,f5(x29151,a3),x29151)),
% 111.97/111.88     inference(rename_variables,[],[635])).
% 111.97/111.88  cnf(2917,plain,
% 111.97/111.88     (~P1(f2(a6,a1),a7,f5(f2(a6,a3),a3))),
% 111.97/111.88     inference(scs_inference,[],[1889,370,928,1038,1454,635,128,15,34,32])).
% 111.97/111.88  cnf(2920,plain,
% 111.97/111.88     (P2(f2(x29201,a1),x29202,f5(x29201,x29202))),
% 111.97/111.88     inference(rename_variables,[],[1454])).
% 111.97/111.88  cnf(2922,plain,
% 111.97/111.88     (~P1(f5(a7,a3),f2(a1,a6),f2(f2(a1,a6),f2(a3,a3)))),
% 111.97/111.88     inference(scs_inference,[],[87,2063,1889,370,928,1038,1454,626,635,2915,128,15,34,32,37])).
% 111.97/111.88  cnf(2923,plain,
% 111.97/111.88     (P1(x29231,x29232,f2(x29232,x29231))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2927,plain,
% 111.97/111.88     (P2(f2(f4(a1),f4(a1)),a3,a3)),
% 111.97/111.88     inference(scs_inference,[],[87,121,2063,1889,370,928,1038,1454,626,635,2915,128,15,34,32,37,27])).
% 111.97/111.88  cnf(2929,plain,
% 111.97/111.88     (~P1(a7,a6,f2(f4(x29291),x29291))),
% 111.97/111.88     inference(scs_inference,[],[87,2923,121,2892,2063,1889,370,928,1038,1454,626,635,2915,128,15,34,32,37,27,28])).
% 111.97/111.88  cnf(2930,plain,
% 111.97/111.88     (P1(x29301,x29302,f2(x29302,x29301))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2932,plain,
% 111.97/111.88     (~P1(f5(a3,a3),a3,f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[87,2923,2930,121,2892,1665,2063,1889,1962,370,928,1038,1454,2920,626,635,2915,128,15,34,32,37,27,28,35])).
% 111.97/111.88  cnf(2934,plain,
% 111.97/111.88     (P1(x29341,x29342,f2(x29342,x29341))),
% 111.97/111.88     inference(rename_variables,[],[87])).
% 111.97/111.88  cnf(2937,plain,
% 111.97/111.88     (~P2(f2(a1,a3),f2(a1,a3),f2(a1,f2(a6,a7)))),
% 111.97/111.88     inference(scs_inference,[],[87,2923,2930,121,2878,2892,1665,2063,1889,1775,1962,370,928,1038,1454,2920,626,635,2915,128,15,34,32,37,27,28,35,29])).
% 111.97/111.88  cnf(2939,plain,
% 111.97/111.88     (~P2(f5(f4(a1),a3),f2(a3,a1),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[87,2923,2930,2934,121,107,2878,2892,1665,2063,1889,1775,1962,370,1145,928,1038,1454,2920,230,626,635,2915,128,15,34,32,37,27,28,35,29,31])).
% 111.97/111.88  cnf(2947,plain,
% 111.97/111.88     (E(f2(a3,a1),f2(f2(a3,a1),f2(a3,a1)))),
% 111.97/111.88     inference(scs_inference,[],[87,2923,2930,2934,121,107,2878,2892,2845,2885,1665,2063,1889,1775,1962,370,1145,928,1038,1454,2920,230,626,635,2915,128,15,34,32,37,27,28,35,29,31,26,2])).
% 111.97/111.88  cnf(2950,plain,
% 111.97/111.88     (E(f2(a3,a1),f5(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[87,2923,2930,2934,121,107,101,2878,2892,2845,2885,1665,1328,1231,2063,1889,1775,1962,370,1145,928,1203,1038,1454,2920,230,626,635,2915,128,15,34,32,37,27,28,35,29,31,26,2,9,3])).
% 111.97/111.88  cnf(2953,plain,
% 111.97/111.88     (P1(a1,f5(f2(a1,a3),a3),a3)),
% 111.97/111.88     inference(scs_inference,[],[87,2923,2930,2934,121,107,101,2878,2892,2845,2885,1665,1328,1231,2063,1889,1775,1962,1156,370,1145,928,1203,1038,1454,2920,230,626,635,2915,128,15,34,32,37,27,28,35,29,31,26,2,9,3,10])).
% 111.97/111.88  cnf(2955,plain,
% 111.97/111.88     (~P2(f2(a3,a3),f2(a3,a1),f2(a6,f2(a1,a7)))),
% 111.97/111.88     inference(scs_inference,[],[87,2923,2930,2934,121,107,101,2878,2892,2845,2870,2885,1665,1328,1231,2063,1889,1775,1962,1156,370,1145,928,1203,1774,1038,1454,2920,230,626,635,2915,128,15,34,32,37,27,28,35,29,31,26,2,9,3,10,14])).
% 111.97/111.88  cnf(2959,plain,
% 111.97/111.88     (~P2(f2(a3,a3),f2(f2(a3,a1),f2(a3,a1)),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[87,2923,2930,2934,121,107,101,2878,2892,2845,2870,2885,1665,1328,1231,2063,1889,1775,1962,1156,370,2056,1145,928,1203,1774,1038,1454,2920,230,626,635,2915,128,15,34,32,37,27,28,35,29,31,26,2,9,3,10,14,12,13])).
% 111.97/111.88  cnf(2960,plain,
% 111.97/111.88     (P1(f2(a1,a1),f5(a3,a1),f5(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[87,2923,2930,2934,121,107,101,2878,2892,2845,2870,2885,2787,1665,1328,1231,2063,1889,1775,1962,1749,1156,370,2056,1145,928,1203,1774,1038,1454,2920,230,626,635,2915,128,15,34,32,37,27,28,35,29,31,26,2,9,3,10,14,12,13,11])).
% 111.97/111.88  cnf(2966,plain,
% 111.97/111.88     (~P2(f5(a3,a3),f2(f2(a3,a3),a1),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[2150,2133,1955,1275,33])).
% 111.97/111.88  cnf(2967,plain,
% 111.97/111.88     (P1(x29671,x29672,f2(f2(x29671,x29672),a1))),
% 111.97/111.88     inference(rename_variables,[],[1275])).
% 111.97/111.88  cnf(2969,plain,
% 111.97/111.88     (P2(f2(f2(a3,a3),a1),a3,f2(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[2492,2150,2133,1955,1275,2967,608,1391,33,34])).
% 111.97/111.88  cnf(2971,plain,
% 111.97/111.88     (P1(x29711,x29712,f2(f2(x29711,x29712),a1))),
% 111.97/111.88     inference(rename_variables,[],[1275])).
% 111.97/111.88  cnf(2973,plain,
% 111.97/111.88     (P1(f5(a3,a1),f5(a3,a1),f5(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[2492,2150,2850,2133,1955,1275,2967,1724,608,1391,33,34,32])).
% 111.97/111.88  cnf(2975,plain,
% 111.97/111.88     (~P2(f2(a3,a1),f5(f4(a1),a3),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[2492,2939,2150,2850,2133,1955,1275,2967,1724,608,1391,33,34,32,27])).
% 111.97/111.88  cnf(2977,plain,
% 111.97/111.88     (P2(f5(a1,a3),f2(f2(a3,a3),a1),f5(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[2492,2939,2150,2850,2133,1955,1275,2967,2971,1724,608,1391,33,34,32,27,37])).
% 111.97/111.88  cnf(2980,plain,
% 111.97/111.88     (~P1(f5(f2(a6,a7),f5(a1,a3)),f2(a6,a7),f5(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[95,2492,2939,2150,2850,2133,1955,1869,1275,2967,2971,1724,608,1391,33,34,32,27,37,28])).
% 111.97/111.88  cnf(2983,plain,
% 111.97/111.88     (~P1(a1,f5(a3,a3),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[95,104,2492,2939,2150,2850,2953,2133,1955,1869,1777,1275,2967,2971,1724,608,1391,17,33,34,32,27,37,28,36])).
% 111.97/111.88  cnf(2988,plain,
% 111.97/111.88     (P1(f5(a3,a1),f2(a1,a1),f5(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[95,104,2492,2939,2960,2150,2850,2953,2133,2878,1138,1955,1869,1777,1275,2967,2971,1724,608,1391,17,33,34,32,27,37,28,36,29,26])).
% 111.97/111.88  cnf(2990,plain,
% 111.97/111.88     (~E(f2(a6,a7),f2(f4(a1),f4(a1)))),
% 111.97/111.88     inference(scs_inference,[],[95,104,2492,2939,2900,2960,2150,2850,2953,2133,2878,1138,1955,1869,1777,1275,2967,2971,1724,608,1391,17,33,34,32,27,37,28,36,29,26,2])).
% 111.97/111.88  cnf(2991,plain,
% 111.97/111.88     (~P1(f5(x29911,a3),f4(x29911),f2(f2(a1,a6),a7))),
% 111.97/111.88     inference(scs_inference,[],[95,127,104,2492,2939,2900,2858,2960,2150,2850,2953,2133,2878,1138,1955,1869,1777,1275,2967,2971,1724,608,1391,17,33,34,32,27,37,28,36,29,26,2,9])).
% 111.97/111.88  cnf(2993,plain,
% 111.97/111.88     (~P1(a3,f5(a6,a3),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[95,127,104,96,2492,2939,2900,2858,2960,2150,2850,2953,2133,2878,1138,1955,1869,1777,1275,2967,2971,1724,608,1391,17,33,34,32,27,37,28,36,29,26,2,9,10])).
% 111.97/111.88  cnf(2994,plain,
% 111.97/111.88     (E(f5(x29941,a3),x29941)),
% 111.97/111.88     inference(rename_variables,[],[127])).
% 111.97/111.88  cnf(2995,plain,
% 111.97/111.88     (~E(f5(f2(a6,a7),f2(a3,a1)),f2(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[95,127,104,96,2950,2492,2939,2900,2858,2385,2960,2150,2850,2953,2133,2878,1138,1955,1869,1777,1275,2967,2971,1724,608,1391,17,33,34,32,27,37,28,36,29,26,2,9,10,3])).
% 111.97/111.88  cnf(2996,plain,
% 111.97/111.88     (P2(f2(f4(a3),f2(a1,a3)),f5(a1,a3),a1)),
% 111.97/111.88     inference(scs_inference,[],[95,127,2994,104,96,2950,2492,2939,2900,2858,2385,2960,2150,2850,2953,2714,2133,2878,1138,1955,1869,1777,1275,2967,2971,1724,608,1391,17,33,34,32,27,37,28,36,29,26,2,9,10,3,14])).
% 111.97/111.88  cnf(2997,plain,
% 111.97/111.88     (E(f5(x29971,a3),x29971)),
% 111.97/111.88     inference(rename_variables,[],[127])).
% 111.97/111.88  cnf(2998,plain,
% 111.97/111.88     (P2(a1,f5(a3,a3),f2(f2(a1,a1),a1))),
% 111.97/111.88     inference(scs_inference,[],[95,127,2994,2997,104,96,2950,2492,2821,2939,2900,2858,2385,2960,2150,2850,2953,2714,2133,2878,1138,1955,1869,1777,1275,2967,2971,1724,608,1391,17,33,34,32,27,37,28,36,29,26,2,9,10,3,14,12])).
% 111.97/111.88  cnf(2999,plain,
% 111.97/111.88     (E(f5(x29991,a3),x29991)),
% 111.97/111.88     inference(rename_variables,[],[127])).
% 111.97/111.88  cnf(3000,plain,
% 111.97/111.88     (P2(f5(a1,a3),a3,f2(f2(a1,a1),a1))),
% 111.97/111.88     inference(scs_inference,[],[95,127,2994,2997,2999,104,96,2950,2492,2821,2939,2900,2858,2385,2960,2150,2850,2953,2714,2133,2878,1138,1955,1869,1777,1275,2967,2971,1724,608,1391,17,33,34,32,27,37,28,36,29,26,2,9,10,3,14,12,13])).
% 111.97/111.88  cnf(3001,plain,
% 111.97/111.88     (E(f5(x30011,a3),x30011)),
% 111.97/111.88     inference(rename_variables,[],[127])).
% 111.97/111.88  cnf(3002,plain,
% 111.97/111.88     (~P1(a3,a6,f5(f2(a6,a7),a3))),
% 111.97/111.88     inference(scs_inference,[],[95,127,2994,2997,2999,3001,104,96,2950,2492,2821,2939,2900,2858,2385,2960,2150,2850,2953,2714,2133,2878,1138,1955,1869,1777,1275,2967,2971,1724,608,1391,17,33,34,32,27,37,28,36,29,26,2,9,10,3,14,12,13,11])).
% 111.97/111.88  cnf(3015,plain,
% 111.97/111.88     (P2(f2(f2(a3,a3),a1),f5(a1,a3),f5(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[2977,2973,2853,1223,32,27])).
% 111.97/111.88  cnf(3017,plain,
% 111.97/111.88     (P2(f5(a1,a3),f5(f2(a3,a3),a3),f5(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[2977,2973,2853,1223,389,2850,32,27,37])).
% 111.97/111.88  cnf(3020,plain,
% 111.97/111.88     (P1(a1,f2(f4(a3),a1),a1)),
% 111.97/111.88     inference(scs_inference,[],[2977,2973,2901,2282,2853,1223,389,2850,964,32,27,37,30])).
% 111.97/111.88  cnf(3023,plain,
% 111.97/111.88     (E(f2(f4(a3),f4(a3)),a1)),
% 111.97/111.88     inference(scs_inference,[],[115,2977,2973,2901,2282,2853,1223,389,2850,964,15,32,27,37,30,28])).
% 111.97/111.88  cnf(3028,plain,
% 111.97/111.88     (P2(f2(x30281,a1),x30282,f5(x30281,x30282))),
% 111.97/111.88     inference(rename_variables,[],[1454])).
% 111.97/111.88  cnf(3030,plain,
% 111.97/111.88     (E(f2(a3,f4(x30301)),f5(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[115,2975,2977,2973,2901,2282,1808,2119,2853,2229,1223,1021,389,2850,964,1454,15,32,27,37,30,28,36,29])).
% 111.97/111.88  cnf(3033,plain,
% 111.97/111.88     (P1(f2(a1,a1),f2(a3,a1),f2(f5(a1,a1),f2(a3,a1)))),
% 111.97/111.88     inference(scs_inference,[],[115,101,2975,2977,2973,2901,2282,1808,2011,2119,2853,2229,1223,1021,389,2850,964,1163,887,1454,15,32,27,37,30,28,36,29,31])).
% 111.97/111.88  cnf(3037,plain,
% 111.97/111.88     (E(f2(f2(x30371,x30372),a1),f2(x30372,x30371))),
% 111.97/111.88     inference(scs_inference,[],[115,101,2975,2922,2977,2973,2875,2901,2282,1808,2011,2119,2853,2229,1223,1021,389,2850,964,1163,887,1454,15,32,27,37,30,28,36,29,31,26,2])).
% 111.97/111.88  cnf(3038,plain,
% 111.97/111.88     (P1(f5(a3,f4(a3)),f2(a1,a1),f5(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[115,101,2975,2922,2977,2988,2973,2875,443,2901,2282,1808,2011,2119,2853,2229,1223,1021,389,2850,964,1163,887,1454,15,32,27,37,30,28,36,29,31,26,2,9])).
% 111.97/111.88  cnf(3039,plain,
% 111.97/111.88     (E(f5(x30391,a1),f5(x30391,f4(a3)))),
% 111.97/111.88     inference(rename_variables,[],[443])).
% 111.97/111.88  cnf(3040,plain,
% 111.97/111.88     (~E(a3,f5(f2(a6,a7),f5(a3,a3)))),
% 111.97/111.88     inference(scs_inference,[],[115,127,101,2975,2922,2977,2988,2973,2288,2875,443,2901,2282,1808,2011,2119,2853,2229,1223,1021,389,2850,964,1163,887,1454,15,32,27,37,30,28,36,29,31,26,2,9,3])).
% 111.97/111.88  cnf(3041,plain,
% 111.97/111.88     (E(f5(x30411,a3),x30411)),
% 111.97/111.88     inference(rename_variables,[],[127])).
% 111.97/111.88  cnf(3042,plain,
% 111.97/111.88     (P1(f5(a3,a1),f5(a3,f4(a3)),f5(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[115,127,101,2975,2922,2977,2988,2973,2288,2875,443,3039,2901,2282,1808,2011,2119,2853,2229,1223,1021,389,2850,964,1163,887,1454,15,32,27,37,30,28,36,29,31,26,2,9,3,10])).
% 111.97/111.88  cnf(3043,plain,
% 111.97/111.88     (E(f5(x30431,a1),f5(x30431,f4(a3)))),
% 111.97/111.88     inference(rename_variables,[],[443])).
% 111.97/111.88  cnf(3045,plain,
% 111.97/111.88     (E(f5(x30451,a3),x30451)),
% 111.97/111.88     inference(rename_variables,[],[127])).
% 111.97/111.88  cnf(3047,plain,
% 111.97/111.88     (E(f5(x30471,a3),x30471)),
% 111.97/111.88     inference(rename_variables,[],[127])).
% 111.97/111.88  cnf(3048,plain,
% 111.97/111.88     (P2(f2(f4(a3),f2(a1,a3)),a1,a1)),
% 111.97/111.88     inference(scs_inference,[],[115,127,3041,3045,3047,104,101,2975,2922,2977,2988,2973,2288,2875,443,3039,2901,2996,2546,2282,1808,2011,2119,2853,2229,1223,1021,389,2850,964,1163,887,1454,15,32,27,37,30,28,36,29,31,26,2,9,3,10,14,12,13])).
% 111.97/111.88  cnf(3050,plain,
% 111.97/111.88     (P1(f2(a1,a1),f2(a1,a1),f5(f4(a1),f4(a3)))),
% 111.97/111.88     inference(scs_inference,[],[115,127,3041,3045,3047,104,101,1610,2975,2922,2977,2988,2973,2288,2875,443,3039,3043,2901,2996,2546,2282,1808,2011,2119,2853,2229,1223,1021,389,2850,964,1163,887,1454,15,32,27,37,30,28,36,29,31,26,2,9,3,10,14,12,13,11])).
% 111.97/111.88  cnf(3056,plain,
% 111.97/111.88     (P2(f5(a3,a1),a3,f5(f5(a1,a3),f2(a3,a3)))),
% 111.97/111.88     inference(scs_inference,[],[115,127,3041,3045,3047,104,101,102,2584,1610,2975,2922,2977,2988,2973,2324,2288,2875,443,3039,3043,2901,2996,2546,2282,1808,2011,2119,2853,2229,1223,1021,389,2850,964,1163,887,1454,3028,230,15,32,27,37,30,28,36,29,31,26,2,9,3,10,14,12,13,11,33,34])).
% 111.97/111.88  cnf(3062,plain,
% 111.97/111.88     (P1(f5(f2(a3,a3),f5(a1,a3)),f5(a3,a3),f5(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[128,2165,33])).
% 111.97/111.88  cnf(3063,plain,
% 111.97/111.88     (P2(x30631,x30632,f5(x30632,x30631))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3064,plain,
% 111.97/111.88     (P2(x30641,x30642,f5(x30642,x30641))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3066,plain,
% 111.97/111.88     (P2(f2(a3,a3),f2(f5(a1,a1),f2(a3,a3)),f2(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[128,2165,2126,472,33,34])).
% 111.97/111.88  cnf(3070,plain,
% 111.97/111.88     (~P1(f2(f2(a1,a1),a1),f5(a1,a1),f4(a7))),
% 111.97/111.88     inference(scs_inference,[],[128,3064,102,2966,2998,2165,1985,2126,472,33,34,27,37])).
% 111.97/111.88  cnf(3071,plain,
% 111.97/111.88     (P2(x30711,x30712,f5(x30712,x30711))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3073,plain,
% 111.97/111.88     (P1(f5(a1,a1),f5(a3,a3),f2(f4(a3),f2(a3,a1)))),
% 111.97/111.88     inference(scs_inference,[],[128,3064,3071,101,102,2966,2998,2165,1985,996,2126,472,33,34,27,37,30])).
% 111.97/111.88  cnf(3074,plain,
% 111.97/111.88     (P2(x30741,x30742,f5(x30742,x30741))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3076,plain,
% 111.97/111.88     (P2(f5(a3,a3),f5(a3,a3),a3)),
% 111.97/111.88     inference(scs_inference,[],[128,3064,3071,3074,101,102,100,2966,2998,2165,1985,996,2126,472,33,34,27,37,30,35])).
% 111.97/111.88  cnf(3077,plain,
% 111.97/111.88     (P2(x30771,x30772,f5(x30772,x30771))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3079,plain,
% 111.97/111.88     (~P1(a1,f5(a3,a3),f5(f2(a6,a7),f5(a3,a3)))),
% 111.97/111.88     inference(scs_inference,[],[128,3064,3071,3074,101,102,100,2966,2998,3040,2165,1985,996,2126,472,33,34,27,37,30,35,28])).
% 111.97/111.88  cnf(3087,plain,
% 111.97/111.88     (P1(f2(a3,a1),f2(a1,a1),f2(f5(a1,a1),f2(a3,a1)))),
% 111.97/111.88     inference(scs_inference,[],[128,3064,3071,3074,3077,3063,101,102,100,2966,3033,2998,3040,2165,1985,2856,996,2126,472,33,34,27,37,30,35,28,29,31,26])).
% 111.97/111.88  cnf(3089,plain,
% 111.97/111.88     (~E(f2(a1,f2(a6,a7)),f5(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[128,3064,3071,3074,3077,3063,101,102,100,2966,2789,3033,2998,3040,2165,1985,2856,996,2126,472,33,34,27,37,30,35,28,29,31,26,2])).
% 111.97/111.88  cnf(3090,plain,
% 111.97/111.88     (P1(f2(a1,f2(a1,a1)),f5(a3,a3),a3)),
% 111.97/111.88     inference(scs_inference,[],[128,3064,3071,3074,3077,3063,101,102,100,2966,2789,3033,2998,3040,2165,1985,2856,996,1388,2126,472,33,34,27,37,30,35,28,29,31,26,2,9])).
% 111.97/111.88  cnf(3091,plain,
% 111.97/111.88     (E(x30911,f2(x30911,f2(a1,a1)))),
% 111.97/111.88     inference(rename_variables,[],[1388])).
% 111.97/111.88  cnf(3092,plain,
% 111.97/111.88     (P1(f5(a3,a3),f2(a1,f2(a1,a1)),a3)),
% 111.97/111.88     inference(scs_inference,[],[128,3064,3071,3074,3077,3063,101,102,100,2966,2789,3033,2998,3040,2165,1985,2856,996,1388,3091,2126,472,33,34,27,37,30,35,28,29,31,26,2,9,10])).
% 111.97/111.88  cnf(3094,plain,
% 111.97/111.88     (E(f5(a1,a3),f5(f2(a1,a1),f2(a3,a3)))),
% 111.97/111.88     inference(scs_inference,[],[128,3064,3071,3074,3077,3063,101,102,100,2847,2966,2789,3033,2998,3040,2165,1985,2633,2856,996,1388,3091,2126,472,33,34,27,37,30,35,28,29,31,26,2,9,10,3])).
% 111.97/111.88  cnf(3096,plain,
% 111.97/111.88     (~P2(f5(a3,a3),a3,f5(f2(a6,a7),a3))),
% 111.97/111.88     inference(scs_inference,[],[128,3064,3071,3074,3077,3063,127,104,101,102,100,2847,2966,2789,3033,2998,3040,2165,1985,2633,2856,996,1388,3091,2126,472,33,34,27,37,30,35,28,29,31,26,2,9,10,3,14])).
% 111.97/111.88  cnf(3097,plain,
% 111.97/111.88     (E(f5(x30971,a3),x30971)),
% 111.97/111.88     inference(rename_variables,[],[127])).
% 111.97/111.88  cnf(3099,plain,
% 111.97/111.88     (E(f5(x30991,a3),x30991)),
% 111.97/111.88     inference(rename_variables,[],[127])).
% 111.97/111.88  cnf(3100,plain,
% 111.97/111.88     (~P2(f5(f5(a3,a3),f2(a3,a3)),f5(a3,a3),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[128,3064,3071,3074,3077,3063,127,3097,3099,104,101,102,100,2847,2966,2789,3033,1700,2866,2998,3040,2165,1985,2633,2856,996,1388,3091,2126,472,33,34,27,37,30,35,28,29,31,26,2,9,10,3,14,12,13])).
% 111.97/111.88  cnf(3110,plain,
% 111.97/111.88     (P1(f5(f2(a1,a3),f5(a1,a3)),f2(a3,a1),f2(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[2878,1869,33])).
% 111.97/111.88  cnf(3111,plain,
% 111.97/111.88     (P1(f5(x31111,f5(a1,a3)),x31111,x31111)),
% 111.97/111.88     inference(rename_variables,[],[1869])).
% 111.97/111.88  cnf(3114,plain,
% 111.97/111.88     (P2(x31141,x31142,f5(x31142,x31141))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3116,plain,
% 111.97/111.88     (P2(f2(f5(a1,a1),f2(a3,a3)),f2(a3,a3),f2(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[128,104,100,3066,2043,2878,1869,33,34,27])).
% 111.97/111.88  cnf(3121,plain,
% 111.97/111.88     (P2(x31211,x31212,f5(x31212,x31211))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3123,plain,
% 111.97/111.88     (~P2(f5(a3,a3),f5(a3,a3),f2(a1,f2(a6,a7)))),
% 111.97/111.88     inference(scs_inference,[],[128,3114,3121,104,100,3066,1902,2622,2043,2878,1869,3111,889,33,34,27,37,30])).
% 111.97/111.88  cnf(3124,plain,
% 111.97/111.88     (P2(x31241,x31242,f5(x31242,x31241))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3126,plain,
% 111.97/111.88     (~P1(a3,a1,f2(a1,f2(a6,a7)))),
% 111.97/111.88     inference(scs_inference,[],[128,3114,3121,104,100,3066,3089,1902,2622,2043,2878,1869,3111,889,33,34,27,37,30,28])).
% 111.97/111.88  cnf(3128,plain,
% 111.97/111.88     (P2(f2(a3,a1),a3,f2(f5(a3,a3),a3))),
% 111.97/111.88     inference(scs_inference,[],[128,3114,3121,104,100,3066,3089,1377,1902,2622,360,2043,2878,1869,3111,889,493,1454,33,34,27,37,30,28,36])).
% 111.97/111.88  cnf(3132,plain,
% 111.97/111.88     (~P2(f2(a3,a1),a3,f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[128,3114,3121,3124,104,100,3066,3089,2688,1377,1902,2622,360,2043,2878,1869,3111,889,493,1454,33,34,27,37,30,28,36,29])).
% 111.97/111.88  cnf(3133,plain,
% 111.97/111.88     (P2(x31331,x31332,f5(x31332,x31331))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3135,plain,
% 111.97/111.88     (~P1(f2(f4(a1),f4(a1)),f2(a1,a6),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[96,121,128,3114,3121,3124,104,100,3066,3089,2688,1377,1902,2622,360,2043,2878,1869,3111,889,493,1454,626,18,33,34,27,37,30,28,36,29,31])).
% 111.97/111.88  cnf(3141,plain,
% 111.97/111.88     (~P1(f5(x31411,a3),f4(x31411),f2(f5(a6,a3),a7))),
% 111.97/111.88     inference(scs_inference,[],[96,121,127,128,3114,3121,3124,104,100,3066,3089,2980,2688,2698,1377,1902,2622,360,2043,2878,1869,3111,889,493,1454,626,18,33,34,27,37,30,28,36,29,31,26,9])).
% 111.97/111.88  cnf(3144,plain,
% 111.97/111.88     (E(f5(x31441,a3),x31441)),
% 111.97/111.88     inference(rename_variables,[],[127])).
% 111.97/111.88  cnf(3145,plain,
% 111.97/111.88     (E(f5(f2(a1,a1),f2(a3,a3)),f5(a1,a3))),
% 111.97/111.88     inference(scs_inference,[],[96,121,127,128,3114,3121,3124,104,100,3094,3066,3089,2980,2688,2698,1377,1902,2692,2622,360,2043,2878,1869,3111,889,493,1454,626,18,33,34,27,37,30,28,36,29,31,26,9,10,2])).
% 111.97/111.88  cnf(3146,plain,
% 111.97/111.88     (~E(f2(a6,a7),f2(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[96,121,127,128,3114,3121,3124,104,100,3094,3066,3089,2947,2980,2688,2498,2698,1377,1902,2692,2622,360,2043,2878,1869,3111,889,493,1454,626,18,33,34,27,37,30,28,36,29,31,26,9,10,2,3])).
% 111.97/111.88  cnf(3147,plain,
% 111.97/111.88     (P2(a3,a1,f5(f2(a1,a1),f2(a3,a3)))),
% 111.97/111.88     inference(scs_inference,[],[96,121,127,128,3114,3121,3124,3133,104,100,3094,3066,3089,2947,2980,2688,2498,2698,1377,1902,2692,2622,360,2043,2878,1869,3111,889,493,1454,626,18,33,34,27,37,30,28,36,29,31,26,9,10,2,3,14])).
% 111.97/111.88  cnf(3148,plain,
% 111.97/111.88     (P2(x31481,x31482,f5(x31482,x31481))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3149,plain,
% 111.97/111.88     (P2(x31491,x31492,f5(x31492,f5(x31491,a3)))),
% 111.97/111.88     inference(scs_inference,[],[96,121,127,3144,128,3114,3121,3124,3133,3148,104,100,3094,3066,3089,2947,2980,2688,2498,2698,1377,1902,2692,2622,360,2043,2878,1869,3111,889,493,1454,626,18,33,34,27,37,30,28,36,29,31,26,9,10,2,3,14,12])).
% 111.97/111.88  cnf(3150,plain,
% 111.97/111.88     (P2(x31501,x31502,f5(x31502,x31501))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3151,plain,
% 111.97/111.88     (P2(x31511,x31512,f5(f5(x31512,a3),x31511))),
% 111.97/111.88     inference(scs_inference,[],[96,121,127,3144,128,3114,3121,3124,3133,3148,3150,104,100,3094,3066,3089,2947,2980,2688,2498,2698,1377,1902,2692,2622,360,2043,2878,1869,3111,889,493,1454,626,18,33,34,27,37,30,28,36,29,31,26,9,10,2,3,14,12,13])).
% 111.97/111.88  cnf(3153,plain,
% 111.97/111.88     (~P1(f2(x31531,a1),f4(x31531),f5(f2(a6,a7),a3))),
% 111.97/111.88     inference(scs_inference,[],[96,121,127,3144,128,3114,3121,3124,3133,3148,3150,104,100,3094,3066,3089,2947,2980,2688,2498,2698,1377,1902,2692,2622,360,2043,2878,1869,3111,889,493,1454,626,18,33,34,27,37,30,28,36,29,31,26,9,10,2,3,14,12,13,11])).
% 111.97/111.88  cnf(3159,plain,
% 111.97/111.88     (P1(f4(a3),f2(a3,a3),f5(f5(a3,a3),f5(a3,a3)))),
% 111.97/111.88     inference(scs_inference,[],[130,128,608,33])).
% 111.97/111.88  cnf(3161,plain,
% 111.97/111.88     (P1(f4(x31611),x31611,f5(a3,a3))),
% 111.97/111.88     inference(rename_variables,[],[130])).
% 111.97/111.88  cnf(3162,plain,
% 111.97/111.88     (P2(x31621,x31622,f5(x31622,x31621))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3164,plain,
% 111.97/111.88     (~P1(f5(a3,a3),f5(a3,a3),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[130,128,3162,1518,608,77,33,34])).
% 111.97/111.88  cnf(3166,plain,
% 111.97/111.88     (P2(x31661,x31662,f5(x31662,x31661))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3169,plain,
% 111.97/111.88     (~P2(f5(a3,a3),f5(f5(a3,a3),f2(a3,a3)),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[130,128,3162,3100,1518,608,77,33,34,27])).
% 111.97/111.88  cnf(3171,plain,
% 111.97/111.88     (~P2(f5(a3,a3),f5(f2(a3,a1),a3),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[100,130,128,3162,3166,3100,2823,2828,1518,608,77,33,34,27,30])).
% 111.97/111.88  cnf(3172,plain,
% 111.97/111.88     (P2(x31721,x31722,f5(x31722,x31721))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3177,plain,
% 111.97/111.88     (P2(x31771,x31772,f5(x31772,x31771))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3179,plain,
% 111.97/111.88     (~P1(f5(a1,a1),f5(a3,a3),f2(a1,f2(a6,a7)))),
% 111.97/111.88     inference(scs_inference,[],[100,130,128,3162,3166,3172,3177,101,3100,3149,2823,2828,2365,1518,1567,1935,608,77,33,34,27,30,37,35])).
% 111.97/111.88  cnf(3180,plain,
% 111.97/111.88     (P2(x31801,x31802,f5(x31802,x31801))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3182,plain,
% 111.97/111.88     (E(f5(a3,a3),f2(a3,f4(x31821)))),
% 111.97/111.88     inference(scs_inference,[],[100,130,3161,128,3162,3166,3172,3177,101,3100,3149,2823,2828,2365,1518,1567,622,1935,608,77,33,34,27,30,37,35,28])).
% 111.97/111.88  cnf(3185,plain,
% 111.97/111.88     (~P1(a1,f5(f4(a1),a1),f4(a7))),
% 111.97/111.88     inference(scs_inference,[],[100,130,3161,128,3162,3166,3172,3177,3180,101,3100,3149,332,2752,2823,2828,2365,1518,1567,622,1935,608,77,17,33,34,27,30,37,35,28,36])).
% 111.97/111.88  cnf(3186,plain,
% 111.97/111.88     (P2(x31861,x31862,f5(x31862,x31861))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3189,plain,
% 111.97/111.88     (E(f5(f2(x31891,a3),f2(x31891,a1)),x31891)),
% 111.97/111.88     inference(scs_inference,[],[100,130,3161,128,3162,3166,3172,3177,3180,3186,101,3100,3149,332,2752,2823,2828,2365,1518,1567,622,1271,1935,608,77,17,33,34,27,30,37,35,28,36,29])).
% 111.97/111.88  cnf(3190,plain,
% 111.97/111.88     (P2(x31901,x31902,f5(x31902,x31901))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3192,plain,
% 111.97/111.88     (~P2(a3,f2(f2(a3,a1),a1),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[100,130,3161,107,128,3162,3166,3172,3177,3180,3186,101,3100,3149,332,769,2752,2823,2828,2365,1518,1567,622,2856,1271,1935,500,608,77,17,33,34,27,30,37,35,28,36,29,31])).
% 111.97/111.88  cnf(3196,plain,
% 111.97/111.88     (P1(f5(a3,a3),f5(f2(a3,a3),f5(a1,a3)),f5(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[100,130,3161,107,128,3162,3166,3172,3177,3180,3186,101,3062,3100,3149,332,769,2752,2823,2828,2365,1518,1567,622,2856,1271,1935,500,608,77,17,33,34,27,30,37,35,28,36,29,31,26])).
% 111.97/111.88  cnf(3198,plain,
% 111.97/111.88     (P1(f4(f5(x31981,a3)),x31981,f5(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[100,130,3161,107,128,3162,3166,3172,3177,3180,3186,127,101,3062,3100,3149,332,769,2752,2823,2828,2365,1518,1567,622,2856,1271,1935,500,608,77,17,33,34,27,30,37,35,28,36,29,31,26,10])).
% 111.97/111.88  cnf(3199,plain,
% 111.97/111.88     (P1(f4(x31991),x31991,f5(a3,a3))),
% 111.97/111.88     inference(rename_variables,[],[130])).
% 111.97/111.88  cnf(3200,plain,
% 111.97/111.88     (~E(f2(a3,a1),f5(f2(a6,a7),f2(a3,a1)))),
% 111.97/111.88     inference(scs_inference,[],[100,130,3161,107,128,3162,3166,3172,3177,3180,3186,127,101,3062,3100,2995,3149,332,769,2752,2823,2828,2365,1518,1567,622,2856,1271,1935,500,608,77,17,33,34,27,30,37,35,28,36,29,31,26,10,2])).
% 111.97/111.88  cnf(3201,plain,
% 111.97/111.88     (P1(f4(a3),f2(a3,a3),f5(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[100,130,3161,3199,107,128,3162,3166,3172,3177,3180,3186,127,101,3062,3100,2995,2057,3149,332,769,2752,2823,2828,2365,1518,1567,622,2856,1271,1935,500,608,77,17,33,34,27,30,37,35,28,36,29,31,26,10,2,9])).
% 111.97/111.88  cnf(3203,plain,
% 111.97/111.88     (~E(f5(a3,f5(a3,a3)),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[100,130,3161,3199,107,128,3162,3166,3172,3177,3180,3186,3190,127,104,101,3062,3100,2995,2057,3149,332,769,2752,2823,2828,2365,1518,1567,622,2856,1271,1935,500,608,77,17,33,34,27,30,37,35,28,36,29,31,26,10,2,9,14])).
% 111.97/111.88  cnf(3204,plain,
% 111.97/111.88     (P2(x32041,x32042,f5(x32042,x32041))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3205,plain,
% 111.97/111.88     (~E(f2(a6,f2(a1,a7)),f2(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[100,130,3161,3199,107,128,3162,3166,3172,3177,3180,3186,3190,127,104,101,3062,3146,3100,2995,2057,3149,332,769,2752,2823,2828,2365,1518,1154,1567,622,2856,1271,1935,500,608,77,17,33,34,27,30,37,35,28,36,29,31,26,10,2,9,14,3])).
% 111.97/111.88  cnf(3207,plain,
% 111.97/111.88     (~P2(f2(a3,f4(x32071)),a3,f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[100,130,3161,3199,107,128,3162,3166,3172,3177,3180,3186,3190,127,104,101,3062,3146,3100,2995,2057,3149,3030,332,769,2752,2823,2828,2365,1518,1154,1567,622,2856,1271,1935,500,608,77,17,33,34,27,30,37,35,28,36,29,31,26,10,2,9,14,3,12])).
% 111.97/111.88  cnf(3208,plain,
% 111.97/111.88     (~E(a6,f2(a7,a1))),
% 111.97/111.88     inference(scs_inference,[],[100,130,3161,3199,107,128,3162,3166,3172,3177,3180,3186,3190,3204,127,104,101,3062,3146,3100,2995,2057,3149,3030,332,769,2752,2823,2828,2365,1518,1154,1567,622,2856,1271,1935,500,608,77,17,33,34,27,30,37,35,28,36,29,31,26,10,2,9,14,3,12,13])).
% 111.97/111.88  cnf(3210,plain,
% 111.97/111.88     (P1(f5(a3,a1),a1,f5(a1,a3))),
% 111.97/111.88     inference(scs_inference,[],[100,130,3161,3199,107,128,3162,3166,3172,3177,3180,3186,3190,3204,127,104,101,3062,3145,3146,3100,2995,2057,3149,1779,3030,332,769,2752,2823,2828,2365,1518,1154,1567,622,2856,1271,1935,500,608,77,17,33,34,27,30,37,35,28,36,29,31,26,10,2,9,14,3,12,13,11])).
% 111.97/111.88  cnf(3211,plain,
% 111.97/111.88     (~P2(f5(f2(a6,a3),f2(a6,a1)),f2(a6,a7),a6)),
% 111.97/111.88     inference(scs_inference,[],[100,130,3161,3199,107,128,3162,3166,3172,3177,3180,3186,3190,3204,127,104,101,3062,3145,3146,3100,2995,2057,3149,1779,3030,332,769,2752,2823,2828,2365,1518,1154,1567,622,2856,1271,1935,500,608,77,17,33,34,27,30,37,35,28,36,29,31,26,10,2,9,14,3,12,13,11,94])).
% 111.97/111.88  cnf(3219,plain,
% 111.97/111.88     (P1(f5(a3,f2(a1,a1)),f2(a1,a1),f2(a1,a1))),
% 111.97/111.88     inference(scs_inference,[],[100,107,128,2960,2853,1087,802,33,32])).
% 111.97/111.88  cnf(3220,plain,
% 111.97/111.88     (P2(x32201,x32202,f5(x32202,x32201))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3222,plain,
% 111.97/111.88     (P2(f5(f2(a3,a3),a3),f5(a1,a3),f5(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[100,107,128,3017,2960,2853,1087,802,33,32,27])).
% 111.97/111.88  cnf(3224,plain,
% 111.97/111.88     (P2(f4(a1),a3,f2(f5(a1,a1),f2(a3,a1)))),
% 111.97/111.88     inference(scs_inference,[],[100,109,107,128,3087,3017,2960,756,1095,2853,1087,802,33,32,27,37])).
% 111.97/111.88  cnf(3227,plain,
% 111.97/111.88     (~P1(f2(f4(a1),f4(a1)),f5(a1,a1),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[100,109,121,107,128,3220,3087,3017,1873,2960,756,1095,2853,1087,802,65,33,32,27,37,30])).
% 111.97/111.88  cnf(3228,plain,
% 111.97/111.88     (P2(x32281,x32282,f5(x32282,x32281))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3231,plain,
% 111.97/111.88     (P2(x32311,x32312,f5(x32312,x32311))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3233,plain,
% 111.97/111.88     (~P1(f4(x32331),x32331,f2(a1,f2(a6,a7)))),
% 111.97/111.88     inference(scs_inference,[],[100,109,121,130,107,128,3220,3228,104,102,3087,3017,1873,2789,2960,756,1095,2853,1087,802,65,33,32,27,37,30,35,28])).
% 111.97/111.88  cnf(3239,plain,
% 111.97/111.88     (~P2(a1,f5(a3,a3),f4(a7))),
% 111.97/111.88     inference(scs_inference,[],[100,109,121,130,107,128,3220,3228,3231,104,102,101,3087,3017,3070,1873,2789,2960,1557,756,2753,2171,968,1095,2853,1087,802,887,65,33,32,27,37,30,35,28,36,29,31])).
% 111.97/111.88  cnf(3244,plain,
% 111.97/111.88     (P1(a3,f2(a1,f5(a1,a3)),f5(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[100,109,121,130,107,128,3220,3228,3231,104,102,101,3135,3087,3017,3070,1873,2789,2960,1557,756,2753,2171,968,829,1095,2853,1087,802,887,65,33,32,27,37,30,35,28,36,29,31,26,10])).
% 111.97/111.88  cnf(3246,plain,
% 111.97/111.88     (E(x32461,f5(f2(x32461,a3),f2(x32461,a1)))),
% 111.97/111.88     inference(scs_inference,[],[100,109,121,130,107,128,3220,3228,3231,104,102,101,3135,3087,3017,3189,3070,1873,2789,2960,1557,756,2753,2171,968,829,1095,2853,1087,802,887,65,33,32,27,37,30,35,28,36,29,31,26,10,2])).
% 111.97/111.88  cnf(3247,plain,
% 111.97/111.88     (P1(f2(x32471,f4(x32471)),a1,f5(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[100,109,121,130,107,128,3220,3228,3231,104,102,101,3135,3087,3017,3189,3070,1873,2789,2960,1557,756,652,2753,2171,968,829,1095,2853,1087,802,887,65,33,32,27,37,30,35,28,36,29,31,26,10,2,9])).
% 111.97/111.88  cnf(3248,plain,
% 111.97/111.88     (~P2(f5(a3,f5(a6,a3)),f2(a6,a7),f5(a6,a3))),
% 111.97/111.88     inference(scs_inference,[],[100,109,121,130,107,128,3220,3228,3231,127,104,102,101,3135,1151,3087,3017,3189,3070,1873,2789,2960,1557,756,652,2753,2171,968,829,1095,2853,1087,802,887,65,33,32,27,37,30,35,28,36,29,31,26,10,2,9,14])).
% 111.97/111.88  cnf(3249,plain,
% 111.97/111.88     (E(f5(x32491,a3),x32491)),
% 111.97/111.88     inference(rename_variables,[],[127])).
% 111.97/111.88  cnf(3250,plain,
% 111.97/111.88     (E(f5(a3,a3),f2(f2(a3,a3),f4(x32501)))),
% 111.97/111.88     inference(scs_inference,[],[100,109,121,130,107,128,3220,3228,3231,127,104,102,101,3135,1151,3087,3017,3189,3182,3070,1873,2789,2960,2300,1557,756,652,2753,2171,968,829,1095,2853,1087,802,887,65,33,32,27,37,30,35,28,36,29,31,26,10,2,9,14,3])).
% 111.97/111.88  cnf(3252,plain,
% 111.97/111.88     (~P2(f5(a3,a3),f2(f2(a3,a1),a1),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[100,109,121,130,107,128,3220,3228,3231,127,3249,104,102,101,3135,1151,3087,3017,3189,3182,3070,1873,3192,2789,2960,2300,1557,756,652,2753,2171,968,829,1095,2853,1087,802,887,65,33,32,27,37,30,35,28,36,29,31,26,10,2,9,14,3,12])).
% 111.97/111.88  cnf(3253,plain,
% 111.97/111.88     (E(f5(x32531,a3),x32531)),
% 111.97/111.88     inference(rename_variables,[],[127])).
% 111.97/111.88  cnf(3254,plain,
% 111.97/111.88     (~P2(f5(a3,a3),f5(a3,a3),f2(a6,f2(a1,a7)))),
% 111.97/111.88     inference(scs_inference,[],[100,109,121,130,107,128,3220,3228,3231,127,3249,3253,104,102,101,3135,1151,3087,3017,3189,3182,2499,3070,1873,3192,2789,2960,2300,1557,756,652,2753,2171,968,829,1095,2853,1087,802,887,65,33,32,27,37,30,35,28,36,29,31,26,10,2,9,14,3,12,13])).
% 111.97/111.88  cnf(3255,plain,
% 111.97/111.88     (E(f5(x32551,a3),x32551)),
% 111.97/111.88     inference(rename_variables,[],[127])).
% 111.97/111.88  cnf(3256,plain,
% 111.97/111.88     (P1(f5(a3,a3),f5(f2(a3,a3),f5(a1,a3)),a3)),
% 111.97/111.88     inference(scs_inference,[],[100,109,121,130,107,128,3220,3228,3231,127,3249,3253,3255,104,102,101,3196,3135,1151,3087,3017,3189,3182,2499,3070,1873,3192,2789,2960,2300,1557,756,652,2753,2171,968,829,1095,2853,1087,802,887,65,33,32,27,37,30,35,28,36,29,31,26,10,2,9,14,3,12,13,11])).
% 111.97/111.88  cnf(3261,plain,
% 111.97/111.88     (~P1(x32611,f4(x32611),f2(a6,a7))),
% 111.97/111.88     inference(rename_variables,[],[107])).
% 111.97/111.88  cnf(3265,plain,
% 111.97/111.88     (P2(f2(a3,f4(a3)),a3,a3)),
% 111.97/111.88     inference(scs_inference,[],[101,107,128,622,230,22,17,33,34])).
% 111.97/111.88  cnf(3267,plain,
% 111.97/111.88     (P2(x32671,x32672,f5(x32672,x32671))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3272,plain,
% 111.97/111.88     (P1(f4(x32721),x32721,f5(a3,a3))),
% 111.97/111.88     inference(rename_variables,[],[130])).
% 111.97/111.88  cnf(3276,plain,
% 111.97/111.88     (~P2(f5(f2(a3,a1),a3),f5(a3,a3),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[101,130,107,3261,128,3171,622,500,230,22,18,17,33,34,32,27])).
% 111.97/111.88  cnf(3283,plain,
% 111.97/111.88     (~P2(a3,a3,f2(a6,f2(a1,a7)))),
% 111.97/111.88     inference(scs_inference,[],[101,130,3272,107,3261,128,3171,2990,3254,3196,3076,622,1950,500,495,230,22,18,17,33,34,32,27,30,28,36])).
% 111.97/111.88  cnf(3288,plain,
% 111.97/111.88     (~P2(f2(a3,a1),f2(a6,a7),f2(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[101,130,3272,107,3261,128,3267,3171,2990,3200,3254,3196,3076,622,1950,500,495,230,22,18,17,33,34,32,27,30,28,36,29])).
% 111.97/111.88  cnf(3289,plain,
% 111.97/111.88     (P2(x32891,x32892,f5(x32892,x32891))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3291,plain,
% 111.97/111.88     (P1(f5(f5(a1,a3),a1),f2(a1,a1),f5(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[101,130,3272,107,3261,128,3267,3289,3171,2990,3200,3254,3151,3196,3076,622,1950,1561,500,495,230,22,18,17,33,34,32,27,30,28,36,29,31])).
% 111.97/111.88  cnf(3292,plain,
% 111.97/111.88     (P2(x32921,x32922,f5(x32922,x32921))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3295,plain,
% 111.97/111.88     (P1(f2(a3,a1),f5(f2(a1,a3),f5(a1,a3)),f2(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[101,130,3272,107,3261,128,3267,3289,3110,3171,2990,3200,3254,3151,3196,3076,622,1950,1561,500,495,230,22,18,17,33,34,32,27,30,28,36,29,31,26])).
% 111.97/111.88  cnf(3299,plain,
% 111.97/111.88     (~E(f2(a6,a7),f5(a3,f5(a3,a3)))),
% 111.97/111.88     inference(scs_inference,[],[101,130,3272,107,3261,128,3267,3289,127,3110,3171,2990,3233,3203,3200,3254,3151,3196,3076,622,1950,1561,500,495,230,22,18,17,33,34,32,27,30,28,36,29,31,26,10,2])).
% 111.97/111.88  cnf(3300,plain,
% 111.97/111.88     (~P1(f5(f5(a3,a3),a3),f5(a3,a3),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[101,130,3272,107,3261,128,3267,3289,127,3110,3171,2990,3233,3203,3164,3200,3254,3151,3196,3076,622,1950,1561,500,495,230,22,18,17,33,34,32,27,30,28,36,29,31,26,10,2,9])).
% 111.97/111.88  cnf(3301,plain,
% 111.97/111.88     (E(f5(x33011,a3),x33011)),
% 111.97/111.88     inference(rename_variables,[],[127])).
% 111.97/111.88  cnf(3302,plain,
% 111.97/111.88     (P2(a3,a3,f2(f2(a3,a3),f4(x33021)))),
% 111.97/111.88     inference(scs_inference,[],[101,130,3272,107,3261,128,3267,3289,3292,127,3110,3250,3171,2990,3233,3203,3164,3200,3254,3151,3196,3076,622,1950,1561,500,495,230,22,18,17,33,34,32,27,30,28,36,29,31,26,10,2,9,14])).
% 111.97/111.88  cnf(3303,plain,
% 111.97/111.88     (P2(x33031,x33032,f5(x33032,x33031))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3305,plain,
% 111.97/111.88     (P2(f2(a3,a3),f5(a1,a3),f5(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[101,130,3272,107,3261,128,3267,3289,3292,127,3301,3110,3250,3171,2990,3233,3203,3164,3200,3222,1402,3254,3151,3196,3076,878,622,1950,1561,500,495,230,22,18,17,33,34,32,27,30,28,36,29,31,26,10,2,9,14,3,12])).
% 111.97/111.88  cnf(3307,plain,
% 111.97/111.88     (P2(x33071,f5(a3,a3),f5(f2(a3,a1),x33071))),
% 111.97/111.88     inference(scs_inference,[],[101,130,3272,107,3261,128,3267,3289,3292,3303,127,3301,3110,3250,3171,2990,3233,3203,3164,3200,3222,1402,3254,3151,2950,3196,3076,878,622,1950,1561,500,495,230,22,18,17,33,34,32,27,30,28,36,29,31,26,10,2,9,14,3,12,13])).
% 111.97/111.88  cnf(3318,plain,
% 111.97/111.88     (P1(a1,f5(f2(a3,a1),f5(a3,a3)),f5(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[101,128,3307,33])).
% 111.97/111.88  cnf(3319,plain,
% 111.97/111.88     (P2(x33191,x33192,f5(x33192,x33191))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3320,plain,
% 111.97/111.88     (P2(x33201,f5(a3,a3),f5(f2(a3,a1),x33201))),
% 111.97/111.88     inference(rename_variables,[],[3307])).
% 111.97/111.88  cnf(3321,plain,
% 111.97/111.88     (~P1(x33211,x33212,x33213)+~P2(x33214,x33213,x33215)+~P2(x33216,x33212,x33217)+~P1(x33211,x33216,x33214)+P1(x33211,x33217,x33215)),
% 111.97/111.88     inference(rename_variables,[],[33])).
% 111.97/111.88  cnf(3322,plain,
% 111.97/111.88     (P2(f5(f5(a3,a3),f2(a1,a1)),a3,f5(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[101,128,3319,3307,3042,874,374,33,34])).
% 111.97/111.88  cnf(3323,plain,
% 111.97/111.88     (P2(x33231,x33232,f5(x33232,x33231))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3327,plain,
% 111.97/111.88     (P2(f5(a3,a3),x33271,f5(f2(a3,a1),x33271))),
% 111.97/111.88     inference(scs_inference,[],[101,128,3319,3307,3320,3042,874,374,33,34,27])).
% 111.97/111.88  cnf(3334,plain,
% 111.97/111.88     (P1(f5(a1,f5(a1,a3)),f5(a3,a3),f5(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[101,128,3319,3323,3307,3320,3042,3149,874,833,746,374,15,33,34,27,37,30])).
% 111.97/111.88  cnf(3335,plain,
% 111.97/111.88     (P2(x33351,x33352,f5(x33352,x33351))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3336,plain,
% 111.97/111.88     (P2(x33361,x33362,f5(x33362,f5(x33361,a3)))),
% 111.97/111.88     inference(rename_variables,[],[3149])).
% 111.97/111.88  cnf(3338,plain,
% 111.97/111.88     (~P2(f2(a1,a7),a1,f5(a6,f5(a1,a3)))),
% 111.97/111.88     inference(scs_inference,[],[101,128,3319,3323,3307,3320,3042,1147,3149,874,833,746,374,1869,1950,15,87,33,34,27,37,30,35])).
% 111.97/111.88  cnf(3343,plain,
% 111.97/111.88     (E(f5(a3,a3),f2(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[101,130,128,3319,3323,3307,3320,3042,1147,3149,874,833,746,374,1869,889,1950,15,87,33,34,27,37,30,35,28])).
% 111.97/111.88  cnf(3346,plain,
% 111.97/111.88     (P2(a3,f5(a3,f2(a3,a3)),a3)),
% 111.97/111.88     inference(scs_inference,[],[101,132,130,128,3319,3323,3307,3320,3042,1147,3149,1665,874,833,746,374,1869,889,1950,16,15,87,33,34,27,37,30,35,28,36])).
% 111.97/111.88  cnf(3352,plain,
% 111.97/111.88     (E(f5(x33521,f4(x33521)),f2(a1,a1))),
% 111.97/111.88     inference(scs_inference,[],[101,132,130,128,3319,3323,3335,3307,3320,3042,1147,3149,1665,874,833,746,374,1205,1869,889,1950,16,15,87,33,34,27,37,30,35,28,36,29])).
% 111.97/111.88  cnf(3354,plain,
% 111.97/111.88     (P2(x33541,x33542,f5(x33542,x33541))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3357,plain,
% 111.97/111.88     (P2(x33571,x33572,f5(x33572,x33571))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3358,plain,
% 111.97/111.88     (P2(x33581,x33582,f5(x33582,x33581))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3360,plain,
% 111.97/111.88     (~P1(x33601,x33602,x33603)+~P2(x33604,x33603,x33605)+~P2(x33604,x33601,x33606)+P1(x33606,x33607,x33605)+~P2(x33604,x33602,x33607)),
% 111.97/111.88     inference(rename_variables,[],[31])).
% 111.97/111.88  cnf(3362,plain,
% 111.97/111.88     (P2(x33621,x33622,f5(x33622,x33621))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3363,plain,
% 111.97/111.88     (P2(x33631,x33632,f5(x33632,x33631))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3367,plain,
% 111.97/111.88     (P1(a1,f2(f2(a3,a3),f4(x33671)),a3)),
% 111.97/111.88     inference(scs_inference,[],[101,132,130,128,3319,3323,3335,3354,3358,3357,3307,3320,3227,3042,1147,2807,3250,3149,3336,1665,874,833,746,374,1205,1869,889,1950,16,15,87,33,34,27,37,30,35,28,36,29,31,3360,26,10])).
% 111.97/111.88  cnf(3368,plain,
% 111.97/111.88     (~E(f2(f5(a1,a1),f2(a3,a1)),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[101,132,130,128,3319,3323,3335,3354,3358,3357,3307,3320,3227,3042,3224,1147,2807,3250,312,3149,3336,1665,874,833,746,374,1205,1869,889,1950,16,15,87,33,34,27,37,30,35,28,36,29,31,3360,26,10,14])).
% 111.97/111.88  cnf(3369,plain,
% 111.97/111.88     (E(f4(a3),f5(f4(x33691),x33691))),
% 111.97/111.88     inference(scs_inference,[],[101,132,130,128,3319,3323,3335,3354,3358,3357,3307,3320,3227,3042,1438,3224,1147,2807,3250,312,3149,3336,1665,874,833,746,374,1205,1869,889,1950,16,15,87,33,34,27,37,30,35,28,36,29,31,3360,26,10,14,2])).
% 111.97/111.88  cnf(3370,plain,
% 111.97/111.88     (P1(f5(f2(a1,a3),f2(a1,a1)),f5(a3,a3),a3)),
% 111.97/111.88     inference(scs_inference,[],[101,132,130,128,3319,3323,3335,3354,3358,3357,3307,3320,3227,3042,3246,1438,3224,1147,2807,3250,312,3149,3336,1665,874,833,746,374,1205,1869,889,1950,16,15,87,33,34,27,37,30,35,28,36,29,31,3360,26,10,14,2,9])).
% 111.97/111.88  cnf(3371,plain,
% 111.97/111.88     (E(x33711,f5(f2(x33711,a3),f2(x33711,a1)))),
% 111.97/111.88     inference(rename_variables,[],[3246])).
% 111.97/111.88  cnf(3372,plain,
% 111.97/111.88     (~E(f5(f2(a6,a3),f2(a6,a1)),f2(a7,a1))),
% 111.97/111.88     inference(scs_inference,[],[101,132,130,128,3319,3323,3335,3354,3358,3357,3307,3320,3227,3042,3246,3371,1438,3208,3224,1147,2807,3250,312,3149,3336,1665,874,833,746,374,1205,1869,889,1950,16,15,87,33,34,27,37,30,35,28,36,29,31,3360,26,10,14,2,9,3])).
% 111.97/111.88  cnf(3373,plain,
% 111.97/111.88     (E(x33731,f5(f2(x33731,a3),f2(x33731,a1)))),
% 111.97/111.88     inference(rename_variables,[],[3246])).
% 111.97/111.88  cnf(3374,plain,
% 111.97/111.88     (~P2(f2(f2(a1,a3),a1),f2(a6,a7),f2(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[101,132,130,128,3319,3323,3335,3354,3358,3357,3307,3320,3227,3288,3042,3246,3371,3037,1438,3208,3224,1147,2807,3250,312,3149,3336,1665,874,833,746,374,1205,1869,889,1950,16,15,87,33,34,27,37,30,35,28,36,29,31,3360,26,10,14,2,9,3,12])).
% 111.97/111.88  cnf(3376,plain,
% 111.97/111.88     (~E(f2(a6,a7),f2(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[101,132,130,128,3319,3323,3335,3354,3358,3362,3357,3307,3320,3227,3288,3042,3246,3371,3037,1438,3208,3224,1147,2807,3250,312,3149,3336,1665,874,1374,833,746,374,1205,1869,889,1950,16,15,87,33,34,27,37,30,35,28,36,29,31,3360,26,10,14,2,9,3,12,13])).
% 111.97/111.88  cnf(3377,plain,
% 111.97/111.88     (P2(x33771,x33772,f5(x33772,x33771))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3378,plain,
% 111.97/111.88     (P1(a1,f5(a3,a3),f5(f2(a3,a3),f2(a3,a1)))),
% 111.97/111.88     inference(scs_inference,[],[101,132,130,128,3319,3323,3335,3354,3358,3362,3357,3307,3320,3227,3288,3042,3246,3371,3373,3037,1438,3208,3224,1147,2807,3250,312,3149,3336,1665,874,1374,833,746,374,1205,1869,889,1950,16,15,87,33,34,27,37,30,35,28,36,29,31,3360,26,10,14,2,9,3,12,13,11])).
% 111.97/111.88  cnf(3380,plain,
% 111.97/111.88     (P1(a1,f5(f5(a3,a3),f5(a3,a3)),f5(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[101,132,130,128,3319,3323,3335,3354,3358,3362,3377,3357,3363,3307,3320,3227,3288,3042,3246,3371,3373,3037,1438,3208,3224,1147,2807,3250,312,3149,3336,1665,874,1374,833,746,374,1205,1869,889,1950,16,15,87,33,34,27,37,30,35,28,36,29,31,3360,26,10,14,2,9,3,12,13,11,3321])).
% 111.97/111.88  cnf(3387,plain,
% 111.97/111.88     (P1(f5(a3,f4(a3)),f2(a3,a3),f2(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[669,608,33])).
% 111.97/111.88  cnf(3392,plain,
% 111.97/111.88     (P1(f5(a3,a1),f5(a3,a1),f2(f2(a1,a1),a1))),
% 111.97/111.88     inference(scs_inference,[],[128,2955,3000,669,2856,608,23,71,33,34,32])).
% 111.97/111.88  cnf(3394,plain,
% 111.97/111.88     (P2(x33941,x33942,f5(x33942,x33941))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3396,plain,
% 111.97/111.88     (~P2(f2(a6,a7),f2(f2(a1,a3),a1),f2(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[128,3374,2955,3000,669,2856,608,23,71,33,34,32,27])).
% 111.97/111.88  cnf(3398,plain,
% 111.97/111.88     (~P2(f2(a1,a7),f2(a1,a1),f5(a6,a1))),
% 111.97/111.88     inference(scs_inference,[],[128,3374,2955,3000,3338,669,1379,2193,2856,608,23,71,33,34,32,27,37])).
% 111.97/111.88  cnf(3403,plain,
% 111.97/111.88     (P1(f4(x34031),x34031,f5(a3,a3))),
% 111.97/111.88     inference(rename_variables,[],[130])).
% 111.97/111.88  cnf(3407,plain,
% 111.97/111.88     (~P1(f4(x34071),x34071,f5(f2(a6,a7),f2(a3,a1)))),
% 111.97/111.88     inference(scs_inference,[],[130,3403,128,3374,2955,3000,3338,669,3233,2340,1134,1379,2193,2856,608,16,23,71,33,34,32,27,37,30,28])).
% 111.97/111.88  cnf(3409,plain,
% 111.97/111.88     (P2(a3,a3,f5(f5(a3,a3),f5(a3,a3)))),
% 111.97/111.88     inference(scs_inference,[],[102,130,3403,128,3394,3374,2955,3000,3338,669,3233,2340,1134,1379,2193,2856,608,16,15,23,71,33,34,32,27,37,30,28,35])).
% 111.97/111.88  cnf(3420,plain,
% 111.97/111.88     (P1(f5(a3,a3),f2(f5(a1,a3),a1),a3)),
% 111.97/111.88     inference(scs_inference,[],[102,134,109,130,3403,128,3394,3374,3219,2955,3000,3338,669,3288,3233,2340,1134,962,1379,2032,1944,2193,2856,608,16,15,23,71,33,34,32,27,37,30,28,35,36,29,26,10])).
% 111.97/111.88  cnf(3421,plain,
% 111.97/111.88     (E(x34211,f2(f5(x34211,a3),a1))),
% 111.97/111.88     inference(rename_variables,[],[134])).
% 111.97/111.88  cnf(3422,plain,
% 111.97/111.88     (~P2(f2(a6,f5(a1,a3)),f2(a6,a7),f5(a6,a3))),
% 111.97/111.88     inference(scs_inference,[],[102,134,109,130,3403,128,3394,127,3374,2054,3219,2955,3000,3338,669,3288,3233,2340,1134,962,1379,2032,1944,2193,2856,608,16,15,23,71,33,34,32,27,37,30,28,35,36,29,26,10,14])).
% 111.97/111.88  cnf(3423,plain,
% 111.97/111.88     (E(f5(x34231,a3),x34231)),
% 111.97/111.88     inference(rename_variables,[],[127])).
% 111.97/111.88  cnf(3424,plain,
% 111.97/111.88     (~E(f2(a3,a3),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[102,134,109,130,3403,128,3394,127,3374,3376,2054,3219,2955,3000,3338,669,3288,3233,2340,1134,962,1379,2032,1944,2193,2856,608,16,15,23,71,33,34,32,27,37,30,28,35,36,29,26,10,14,2])).
% 111.97/111.88  cnf(3425,plain,
% 111.97/111.88     (P1(f2(f5(a3,a3),a1),f5(a1,a1),f2(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[102,134,3421,109,130,3403,128,3394,127,3374,3376,2054,3219,2955,3000,3338,669,3288,3233,2340,1134,962,1379,1458,2032,1944,2193,2856,608,16,15,23,71,33,34,32,27,37,30,28,35,36,29,26,10,14,2,9])).
% 111.97/111.88  cnf(3426,plain,
% 111.97/111.88     (E(x34261,f2(f5(x34261,a3),a1))),
% 111.97/111.88     inference(rename_variables,[],[134])).
% 111.97/111.88  cnf(3427,plain,
% 111.97/111.88     (E(f4(a1),f2(f5(a3,a3),a1))),
% 111.97/111.88     inference(scs_inference,[],[102,134,3421,3426,109,130,3403,128,3394,127,3374,3376,2054,3219,2955,3000,3338,669,3288,3233,2340,1134,962,1379,1458,2032,1944,2193,2856,240,608,16,15,23,71,33,34,32,27,37,30,28,35,36,29,26,10,14,2,9,3])).
% 111.97/111.88  cnf(3430,plain,
% 111.97/111.88     (E(f5(x34301,a3),x34301)),
% 111.97/111.88     inference(rename_variables,[],[127])).
% 111.97/111.88  cnf(3431,plain,
% 111.97/111.88     (~P2(f2(a6,a7),f5(a6,a3),f2(a6,a1))),
% 111.97/111.88     inference(scs_inference,[],[102,134,3421,3426,109,130,3403,128,3394,127,3423,3430,3374,3376,2054,3219,2955,1143,3000,3338,669,3288,3233,2340,1134,962,1379,1458,2032,1944,2193,2856,240,608,16,15,23,71,33,34,32,27,37,30,28,35,36,29,26,10,14,2,9,3,12,13])).
% 111.97/111.88  cnf(3433,plain,
% 111.97/111.88     (~E(f5(f2(a3,a3),f2(a3,a1)),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[102,134,3421,3426,109,130,3403,128,3394,127,3423,3430,3374,3376,2054,3219,2955,2983,1143,3000,3378,3338,669,3288,3233,2340,1134,962,1379,1458,2032,1944,2193,2856,240,608,16,15,23,71,33,34,32,27,37,30,28,35,36,29,26,10,14,2,9,3,12,13,11])).
% 111.97/111.88  cnf(3434,plain,
% 111.97/111.88     (P1(f2(x34341,x34341),f2(x34341,x34341),f2(x34341,x34341))+~P1(f2(x34341,a3),f2(x34341,a3),f2(x34341,a3))),
% 111.97/111.88     inference(scs_inference,[],[102,134,3421,3426,109,130,3403,128,3394,127,3423,3430,3374,3376,2054,3219,2955,2983,1143,3000,3378,3338,669,3288,3233,2340,1134,962,1379,1458,2032,1944,1695,2193,2856,240,608,16,15,23,71,33,34,32,27,37,30,28,35,36,29,26,10,14,2,9,3,12,13,11,31])).
% 111.97/111.88  cnf(3436,plain,
% 111.97/111.88     (P1(f5(a3,a3),f5(f5(a1,a3),a1),f5(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[102,128,3151,33])).
% 111.97/111.88  cnf(3438,plain,
% 111.97/111.88     (P2(x34381,x34382,f5(x34382,x34381))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3440,plain,
% 111.97/111.88     (~P1(f5(a1,a3),f2(f5(a6,a3),f2(a3,a3)),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[102,128,3438,3151,719,2311,1869,33,34])).
% 111.97/111.88  cnf(3441,plain,
% 111.97/111.88     (P2(x34411,x34412,f5(x34412,x34411))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3445,plain,
% 111.97/111.88     (P2(f5(a1,a3),f2(a3,a3),f5(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[102,128,3438,3305,3151,719,2311,1869,33,34,27])).
% 111.97/111.88  cnf(3447,plain,
% 111.97/111.88     (~P2(f2(a6,a7),f2(a6,a7),a3)),
% 111.97/111.88     inference(scs_inference,[],[102,130,128,3438,3305,2038,3151,719,2311,1869,493,500,33,34,27,37])).
% 111.97/111.88  cnf(3448,plain,
% 111.97/111.88     (P1(f4(x34481),x34481,f5(a3,a3))),
% 111.97/111.88     inference(rename_variables,[],[130])).
% 111.97/111.88  cnf(3452,plain,
% 111.97/111.88     (~P2(f2(a3,a3),a3,f5(f2(a6,a7),f2(a3,a1)))),
% 111.97/111.88     inference(scs_inference,[],[102,130,128,3438,3407,3305,2038,1925,3151,719,876,2311,1869,493,500,635,33,34,27,37,30])).
% 111.97/111.88  cnf(3458,plain,
% 111.97/111.88     (P1(f4(x34581),x34581,f5(a3,a3))),
% 111.97/111.88     inference(rename_variables,[],[130])).
% 111.97/111.88  cnf(3459,plain,
% 111.97/111.88     (P2(x34591,x34592,f5(x34592,x34591))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3461,plain,
% 111.97/111.88     (~P1(f2(a6,a7),f5(f2(a6,a7),f5(a1,a3)),f2(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[102,130,3448,128,3438,3441,104,3424,3407,3305,2038,1925,3151,719,876,2311,1935,1869,493,500,635,33,34,27,37,30,35,28])).
% 111.97/111.88  cnf(3466,plain,
% 111.97/111.88     (P2(x34661,x34662,f5(x34662,x34661))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3468,plain,
% 111.97/111.88     (~P2(f2(a3,a3),f4(a1),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[102,130,3448,3458,128,3438,3441,3459,3466,104,3424,3276,3407,3305,1737,2038,1149,1925,3151,719,876,2311,1935,1869,493,500,635,33,34,27,37,30,35,28,36,29])).
% 111.97/111.88  cnf(3469,plain,
% 111.97/111.88     (P2(x34691,x34692,f5(x34692,x34691))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3473,plain,
% 111.97/111.88     (P2(x34731,x34732,f5(x34732,x34731))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3476,plain,
% 111.97/111.88     (~P1(f5(a3,a3),f5(f5(a3,a3),a3),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[102,130,3448,3458,128,3438,3441,3459,3466,3469,104,3424,3276,3300,3407,3305,1737,2038,1149,1925,3079,3151,719,236,876,3149,2311,1935,1869,493,500,635,33,34,27,37,30,35,28,36,29,31,26])).
% 111.97/111.88  cnf(3479,plain,
% 111.97/111.88     (E(f5(x34791,a3),x34791)),
% 111.97/111.88     inference(rename_variables,[],[127])).
% 111.97/111.88  cnf(3480,plain,
% 111.97/111.88     (P2(a3,f2(a1,x34801),f2(x34801,a1))),
% 111.97/111.88     inference(scs_inference,[],[102,130,3448,3458,127,128,3438,3441,3459,3466,3469,3473,104,3424,3276,3300,3407,3305,1737,2038,3002,1149,2735,1925,3079,3151,719,236,876,3149,2311,1935,1869,493,500,635,33,34,27,37,30,35,28,36,29,31,26,10,14])).
% 111.97/111.88  cnf(3481,plain,
% 111.97/111.88     (P2(x34811,x34812,f5(x34812,x34811))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3482,plain,
% 111.97/111.88     (E(f2(f5(x34821,a3),a1),x34821)),
% 111.97/111.88     inference(scs_inference,[],[102,134,130,3448,3458,127,128,3438,3441,3459,3466,3469,3473,104,3424,3276,3300,3407,3305,1737,2038,3002,1149,2735,1925,3079,3151,719,236,876,3149,2311,1935,1869,493,500,635,33,34,27,37,30,35,28,36,29,31,26,10,14,2])).
% 111.97/111.88  cnf(3484,plain,
% 111.97/111.88     (E(f5(x34841,a3),x34841)),
% 111.97/111.88     inference(rename_variables,[],[127])).
% 111.97/111.88  cnf(3485,plain,
% 111.97/111.88     (~E(f2(a3,a3),f5(f2(a6,a7),a3))),
% 111.97/111.88     inference(scs_inference,[],[102,134,130,3448,3458,127,3479,3484,128,3438,3441,3459,3466,3469,3473,104,3424,3276,3300,3407,3305,1737,2038,3002,1149,2735,1925,3079,3151,719,236,876,3149,2311,1935,1869,493,500,635,33,34,27,37,30,35,28,36,29,31,26,10,14,2,9,3])).
% 111.97/111.88  cnf(3486,plain,
% 111.97/111.88     (E(f5(x34861,a3),x34861)),
% 111.97/111.88     inference(rename_variables,[],[127])).
% 111.97/111.88  cnf(3487,plain,
% 111.97/111.88     (P2(f2(f5(x34871,a3),a1),x34872,f5(x34872,x34871))),
% 111.97/111.88     inference(scs_inference,[],[102,134,130,3448,3458,127,3479,3484,128,3438,3441,3459,3466,3469,3473,3481,104,3424,3276,3300,3407,3305,1737,2038,3002,1149,2735,1925,3079,3151,719,236,876,3149,2311,1935,1869,493,500,635,33,34,27,37,30,35,28,36,29,31,26,10,14,2,9,3,12])).
% 111.97/111.88  cnf(3488,plain,
% 111.97/111.88     (P2(x34881,x34882,f5(x34882,x34881))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3489,plain,
% 111.97/111.88     (P2(x34891,f2(a3,a1),f5(f5(a3,a3),x34891))),
% 111.97/111.88     inference(scs_inference,[],[102,134,130,3448,3458,127,3479,3484,128,3438,3441,3459,3466,3469,3473,3481,3488,104,3343,3424,3276,3300,3407,3305,1737,2038,3002,1149,2735,1925,3079,3151,719,236,876,3149,2311,1935,1869,493,500,635,33,34,27,37,30,35,28,36,29,31,26,10,14,2,9,3,12,13])).
% 111.97/111.88  cnf(3495,plain,
% 111.97/111.88     (~P2(f2(f5(a6,a3),a1),f2(a6,a7),a6)),
% 111.97/111.88     inference(scs_inference,[],[102,134,130,3448,3458,127,3479,3484,3486,128,3438,3441,3459,3466,3469,3473,3481,3488,104,3343,3424,3276,3300,3407,3305,1737,2038,3002,2851,1149,2735,1925,3079,3151,719,2153,236,876,3149,2311,1935,1869,493,500,635,33,34,27,37,30,35,28,36,29,31,26,10,14,2,9,3,12,13,11,32,94])).
% 111.97/111.88  cnf(3496,plain,
% 111.97/111.88     (~P2(f2(a3,a3),a3,f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[132,107,2890,635,33])).
% 111.97/111.88  cnf(3499,plain,
% 111.97/111.88     (P1(x34991,f5(f4(x34991),a3),a3)),
% 111.97/111.88     inference(rename_variables,[],[132])).
% 111.97/111.88  cnf(3502,plain,
% 111.97/111.88     (~P2(f5(a6,a3),f2(a6,a7),f2(a6,a1))),
% 111.97/111.88     inference(scs_inference,[],[132,107,3431,2890,635,33,27])).
% 111.97/111.88  cnf(3504,plain,
% 111.97/111.88     (P2(f5(a3,a3),f5(a3,a3),f2(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[132,130,107,128,3431,1633,2890,1025,635,33,27,37])).
% 111.97/111.88  cnf(3505,plain,
% 111.97/111.88     (P2(x35051,x35052,f5(x35052,x35051))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3506,plain,
% 111.97/111.88     (P1(f4(x35061),x35061,f5(a3,a3))),
% 111.97/111.88     inference(rename_variables,[],[130])).
% 111.97/111.88  cnf(3508,plain,
% 111.97/111.88     (~P1(f2(a6,a7),a1,f2(f5(a3,a3),a1))),
% 111.97/111.88     inference(scs_inference,[],[132,130,107,128,3505,3431,1633,2890,3487,1735,1025,635,15,33,27,37,30])).
% 111.97/111.88  cnf(3509,plain,
% 111.97/111.88     (P2(x35091,x35092,f5(x35092,x35091))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3510,plain,
% 111.97/111.88     (P2(f2(f5(x35101,a3),a1),x35102,f5(x35102,x35101))),
% 111.97/111.88     inference(rename_variables,[],[3487])).
% 111.97/111.88  cnf(3514,plain,
% 111.97/111.88     (P2(x35141,x35142,f5(x35142,x35141))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3517,plain,
% 111.97/111.88     (E(f5(a3,a3),f2(x35171,a3))),
% 111.97/111.88     inference(scs_inference,[],[132,130,3506,107,128,3505,3509,3431,1633,2890,3487,2107,1735,1581,756,1025,493,635,15,33,27,37,30,35,28])).
% 111.97/111.88  cnf(3523,plain,
% 111.97/111.88     (P1(f4(x35231),x35231,f5(a3,a3))),
% 111.97/111.88     inference(rename_variables,[],[130])).
% 111.97/111.88  cnf(3525,plain,
% 111.97/111.88     (E(a1,f5(f4(x35251),f2(x35251,x35251)))),
% 111.97/111.88     inference(scs_inference,[],[104,132,136,130,3506,107,128,3505,3509,3514,3489,3431,1633,2890,3487,2107,1735,1581,756,758,1025,493,635,15,33,27,37,30,35,28,36,29])).
% 111.97/111.88  cnf(3526,plain,
% 111.97/111.88     (P2(x35261,x35262,f5(x35262,x35261))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3528,plain,
% 111.97/111.88     (~P2(a3,f5(a3,a3),f5(f2(a6,a7),a3))),
% 111.97/111.88     inference(scs_inference,[],[104,132,136,130,3506,3523,107,128,3505,3509,3514,3526,3489,3431,1633,2890,3487,2107,2306,1735,1581,756,758,1025,493,635,20,15,33,27,37,30,35,28,36,29,31])).
% 111.97/111.88  cnf(3529,plain,
% 111.97/111.88     (P2(x35291,x35292,f5(x35292,x35291))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3530,plain,
% 111.97/111.88     (P1(f4(x35301),x35301,f5(a3,a3))),
% 111.97/111.88     inference(rename_variables,[],[130])).
% 111.97/111.88  cnf(3533,plain,
% 111.97/111.88     (P1(f5(a1,a1),f2(f5(a3,a3),a1),f2(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[104,132,136,130,3506,3523,107,128,3505,3509,3514,3526,3425,3489,3431,1633,2890,3487,2107,2306,1735,1581,756,758,1025,493,635,20,15,33,27,37,30,35,28,36,29,31,26])).
% 111.97/111.88  cnf(3535,plain,
% 111.97/111.88     (P1(f4(f5(a3,a3)),f2(a3,a1),f5(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[104,132,136,130,3506,3523,3530,107,128,3505,3509,3514,3526,3425,3489,3431,1633,2890,3487,2107,2306,1735,3343,1581,756,758,1025,493,635,20,15,33,27,37,30,35,28,36,29,31,26,10])).
% 111.97/111.88  cnf(3536,plain,
% 111.97/111.88     (P1(f4(x35361),x35361,f5(a3,a3))),
% 111.97/111.88     inference(rename_variables,[],[130])).
% 111.97/111.88  cnf(3537,plain,
% 111.97/111.88     (~E(f2(f2(a3,a1),a6),f2(a6,a7))),
% 111.97/111.88     inference(scs_inference,[],[104,132,136,130,3506,3523,3530,107,128,3505,3509,3514,3526,3425,3489,3431,1633,2890,3487,2107,2306,1735,3343,947,942,1581,756,758,1025,493,635,20,15,33,27,37,30,35,28,36,29,31,26,10,14])).
% 111.97/111.88  cnf(3539,plain,
% 111.97/111.88     (~E(f5(f2(a6,a7),a3),f2(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[104,132,136,130,3506,3523,3530,107,128,3505,3509,3514,3526,3425,3485,3489,3431,1633,2890,3487,2107,2306,1735,3343,947,942,1581,756,758,1025,493,635,20,15,33,27,37,30,35,28,36,29,31,26,10,14,2])).
% 111.97/111.88  cnf(3545,plain,
% 111.97/111.88     (~E(f2(f4(a7),f4(a7)),f2(a1,a1))),
% 111.97/111.88     inference(scs_inference,[],[104,132,3499,136,134,130,3506,3523,3530,107,128,3505,3509,3514,3526,3425,3485,3489,3431,1633,2890,3487,2107,2306,1735,2085,3343,1321,947,2363,942,1581,933,756,758,1025,493,1593,635,20,15,33,27,37,30,35,28,36,29,31,26,10,14,2,9,3,12,13])).
% 111.97/111.88  cnf(3547,plain,
% 111.97/111.88     (P1(f5(a1,a3),f5(a1,a3),a1)),
% 111.97/111.88     inference(scs_inference,[],[104,132,3499,136,134,130,3506,3523,3530,107,128,3505,3509,3514,3526,3425,3485,3489,3431,1905,1633,2890,3487,3482,2107,2306,1735,2085,3343,1321,947,2363,942,1581,933,756,758,1025,493,1593,635,20,15,33,27,37,30,35,28,36,29,31,26,10,14,2,9,3,12,13,11])).
% 111.97/111.88  cnf(3553,plain,
% 111.97/111.88     (P1(a1,f5(f4(x35531),a1),a1)),
% 111.97/111.88     inference(scs_inference,[],[104,115,132,3499,136,134,130,3506,3523,3530,3536,107,128,3505,3509,3514,3526,3529,3425,3485,3489,3431,1905,1633,2890,3487,3510,3482,2107,2306,1735,2085,3343,1321,947,2363,942,1581,933,756,758,1025,295,493,1593,635,20,15,33,27,37,30,35,28,36,29,31,26,10,14,2,9,3,12,13,11,34,32])).
% 111.97/111.88  cnf(3560,plain,
% 111.97/111.88     (P2(x35601,x35602,f5(x35602,x35601))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3562,plain,
% 111.97/111.88     (P2(f4(x35621),f2(x35621,x35621),a1)),
% 111.97/111.88     inference(scs_inference,[],[136,128,3496,2552,3265,34,27])).
% 111.97/111.88  cnf(3566,plain,
% 111.97/111.88     (P2(f2(x35661,x35661),f4(x35661),a1)),
% 111.97/111.88     inference(rename_variables,[],[136])).
% 111.97/111.88  cnf(3567,plain,
% 111.97/111.88     (P2(x35671,x35672,f5(x35672,x35671))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3569,plain,
% 111.97/111.88     (P1(f2(a3,a1),f5(f5(a1,a3),a1),f2(a3,a1))),
% 111.97/111.88     inference(scs_inference,[],[136,128,3560,3504,3436,3496,2552,1942,3265,2519,34,27,32,30])).
% 111.97/111.88  cnf(3572,plain,
% 111.97/111.88     (P2(f2(x35721,x35721),f4(x35721),a1)),
% 111.97/111.88     inference(rename_variables,[],[136])).
% 111.97/111.88  cnf(3573,plain,
% 111.97/111.88     (P1(a1,x35731,x35731)),
% 111.97/111.88     inference(rename_variables,[],[17])).
% 111.97/111.88  cnf(3576,plain,
% 111.97/111.88     (~P1(f4(x35761),x35761,f5(f2(a6,a7),f5(a3,a3)))),
% 111.97/111.88     inference(scs_inference,[],[104,136,3566,130,128,3560,3504,3436,3496,2552,1942,3265,2288,2519,21,17,34,27,32,30,35,28])).
% 111.97/111.88  cnf(3583,plain,
% 111.97/111.88     (~P2(a3,f2(a6,a7),f2(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[104,136,3566,130,128,3560,3567,3504,3539,3396,3436,3496,2552,2750,1942,3265,2288,2519,1275,21,17,3573,34,27,32,30,35,28,36,29])).
% 111.97/111.88  cnf(3584,plain,
% 111.97/111.88     (P2(x35841,x35842,f5(x35842,x35841))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3586,plain,
% 111.97/111.88     (P1(a1,f2(a3,a3),f5(f5(a3,a3),f2(a3,a3)))),
% 111.97/111.88     inference(scs_inference,[],[104,136,3566,3572,130,128,3560,3567,3584,3504,3539,3396,3436,3496,2552,2750,1942,3265,2288,2519,1275,16,21,17,3573,34,27,32,30,35,28,36,29,31])).
% 111.97/111.88  cnf(3588,plain,
% 111.97/111.88     (P1(f4(x35881),x35881,f5(a3,a3))),
% 111.97/111.88     inference(rename_variables,[],[130])).
% 111.97/111.88  cnf(3589,plain,
% 111.97/111.88     (P2(f2(x35891,x35891),f4(x35891),a1)),
% 111.97/111.88     inference(rename_variables,[],[136])).
% 111.97/111.88  cnf(3590,plain,
% 111.97/111.88     (P2(x35901,x35902,f5(x35902,x35901))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3595,plain,
% 111.97/111.88     (E(f5(x35951,a3),x35951)),
% 111.97/111.88     inference(rename_variables,[],[127])).
% 111.97/111.88  cnf(3596,plain,
% 111.97/111.88     (E(f2(a1,a1),f5(x35961,f4(x35961)))),
% 111.97/111.88     inference(scs_inference,[],[104,136,3566,3572,130,127,128,3560,3567,3584,3352,3504,3539,3502,3440,3396,3436,3496,2552,2750,1942,3265,2288,2519,1275,16,21,17,3573,34,27,32,30,35,28,36,29,31,26,14,2])).
% 111.97/111.88  cnf(3597,plain,
% 111.97/111.88     (P1(f4(x35971),f2(f5(x35971,a3),a1),f5(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[104,134,136,3566,3572,130,3588,127,128,3560,3567,3584,3352,3504,3539,3502,3440,3396,3436,3496,2552,2750,1942,3265,2288,2519,1275,16,21,17,3573,34,27,32,30,35,28,36,29,31,26,14,2,10])).
% 111.97/111.88  cnf(3598,plain,
% 111.97/111.88     (P1(f4(x35981),x35981,f5(a3,a3))),
% 111.97/111.88     inference(rename_variables,[],[130])).
% 111.97/111.88  cnf(3599,plain,
% 111.97/111.88     (P1(f2(f5(a3,a3),a1),a1,f2(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[104,134,136,3566,3572,130,3588,127,128,3560,3567,3584,3352,3504,3539,3502,3440,3396,3436,3496,2552,2750,1942,3265,2288,2720,2519,1275,16,21,17,3573,34,27,32,30,35,28,36,29,31,26,14,2,10,9])).
% 111.97/111.88  cnf(3600,plain,
% 111.97/111.88     (E(x36001,f2(f5(x36001,a3),a1))),
% 111.97/111.88     inference(rename_variables,[],[134])).
% 111.97/111.88  cnf(3601,plain,
% 111.97/111.88     (E(f2(a3,a3),f2(f5(a3,a3),a1))),
% 111.97/111.88     inference(scs_inference,[],[104,134,3600,136,3566,3572,130,3588,127,128,3560,3567,3584,3352,3504,3539,3502,3440,3396,3436,3496,2552,2750,1942,3265,2288,2720,2519,1275,1931,16,21,17,3573,34,27,32,30,35,28,36,29,31,26,14,2,10,9,3])).
% 111.97/111.88  cnf(3604,plain,
% 111.97/111.88     (E(f5(x36041,a3),x36041)),
% 111.97/111.88     inference(rename_variables,[],[127])).
% 111.97/111.88  cnf(3605,plain,
% 111.97/111.88     (~P2(f5(a6,a3),f5(f2(a6,a7),a3),f2(a6,a1))),
% 111.97/111.88     inference(scs_inference,[],[104,134,3600,136,3566,3572,130,3588,127,3595,3604,128,3560,3567,3584,3352,3504,3539,3502,3440,3396,3436,3496,2552,2750,1942,3265,2288,2720,2519,1275,1931,16,21,17,3573,34,27,32,30,35,28,36,29,31,26,14,2,10,9,3,12,13])).
% 111.97/111.88  cnf(3607,plain,
% 111.97/111.88     (~E(a1,f4(a7))),
% 111.97/111.88     inference(scs_inference,[],[104,134,3600,136,3566,3572,130,3588,127,3595,3604,128,3560,3567,3584,3352,3504,3539,3502,3440,3396,3436,3496,2552,2750,1942,3185,3553,3265,2288,2720,2519,1275,1931,16,21,17,3573,34,27,32,30,35,28,36,29,31,26,14,2,10,9,3,12,13,11])).
% 111.97/111.88  cnf(3609,plain,
% 111.97/111.88     (P1(f5(f4(a3),f2(a3,a3)),f5(a3,a3),f5(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[104,134,3600,136,3566,3572,130,3588,127,3595,3604,128,3560,3567,3584,3590,3352,3504,3539,3502,3440,3396,3436,3496,2552,2750,1942,3185,3553,3265,2288,1032,2720,2519,1275,1931,16,21,17,3573,34,27,32,30,35,28,36,29,31,26,14,2,10,9,3,12,13,11,33])).
% 111.97/111.88  cnf(3613,plain,
% 111.97/111.88     (P2(f2(a3,a3),f5(a3,a3),f2(f2(a3,a3),f4(a3)))),
% 111.97/111.88     inference(scs_inference,[],[104,134,3600,136,3566,3572,3589,130,3588,3598,127,3595,3604,128,3560,3567,3584,3590,3352,3504,3539,3502,3440,3396,3436,3496,2552,2750,1942,3185,2596,3553,3265,2288,1032,2720,2519,1275,265,1931,16,21,17,3573,34,27,32,30,35,28,36,29,31,26,14,2,10,9,3,12,13,11,33,37])).
% 111.97/111.88  cnf(3621,plain,
% 111.97/111.88     (P2(f5(a3,a3),f2(a3,a3),f2(f2(a3,a3),f4(a3)))),
% 111.97/111.88     inference(scs_inference,[],[3613,2878,660,33,27])).
% 111.97/111.88  cnf(3623,plain,
% 111.97/111.88     (~P2(a1,f4(f4(a3)),f4(a7))),
% 111.97/111.88     inference(scs_inference,[],[115,136,3613,444,2878,660,33,27,32])).
% 111.97/111.88  cnf(3624,plain,
% 111.97/111.88     (P2(f2(x36241,x36241),f4(x36241),a1)),
% 111.97/111.88     inference(rename_variables,[],[136])).
% 111.97/111.88  cnf(3629,plain,
% 111.97/111.88     (P2(x36291,x36292,f5(x36292,x36291))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3632,plain,
% 111.97/111.88     (P1(f2(a1,a1),x36321,f5(x36321,a3))),
% 111.97/111.88     inference(rename_variables,[],[2119])).
% 111.97/111.88  cnf(3640,plain,
% 111.97/111.88     (P2(a3,f2(a1,x36401),f2(x36401,a1))),
% 111.97/111.88     inference(rename_variables,[],[3480])).
% 111.97/111.88  cnf(3642,plain,
% 111.97/111.88     (P1(f2(a1,a1),f5(a1,f4(a1)),f2(a1,a1))),
% 111.97/111.88     inference(scs_inference,[],[115,109,136,130,128,3629,3422,3372,3613,3480,1817,444,1331,2119,3632,2878,660,1950,15,87,33,27,32,30,35,28,29,31])).
% 111.97/111.88  cnf(3644,plain,
% 111.97/111.88     (P2(x36441,x36442,f5(x36442,x36441))),
% 111.97/111.88     inference(rename_variables,[],[128])).
% 111.97/111.88  cnf(3646,plain,
% 111.97/111.88     (P1(f5(a3,a3),f5(f4(a3),f2(a3,a3)),f5(a3,a3))),
% 111.97/111.88     inference(scs_inference,[],[115,109,136,130,128,3629,3609,3422,3372,3613,3480,1817,444,1331,2119,3632,2878,660,1950,15,87,33,27,32,30,35,28,29,31,26])).
% 111.97/111.88  cnf(3648,plain,
% 111.97/111.88     (P2(a3,a3,f2(x36481,a3))),
% 111.97/111.88     inference(scs_inference,[],[115,109,136,130,128,3629,3644,3609,3422,3372,3613,3517,3480,1817,444,1331,2119,3632,2878,660,1950,15,87,33,27,32,30,35,28,29,31,26,14])).
% 111.97/111.88  cnf(3652,plain,
% 111.97/111.88     (E(f5(x36521,a3),x36521)),
% 111.97/111.88     inference(rename_variables,[],[127])).
% 111.97/111.88  cnf(3654,plain,
% 111.97/111.88     (E(f5(x36541,a3),x36541)),
% 111.97/111.88     inference(rename_variables,[],[127])).
% 111.97/111.88  cnf(3655,plain,
% 111.97/111.88     (E(f5(a1,a3),f5(f4(x36551),f2(x36551,x36551)))),
% 111.97/111.88     inference(scs_inference,[],[140,115,109,136,130,127,3652,3654,128,3629,3644,3609,3433,3422,3372,3613,3517,3525,3480,1817,444,1331,2119,3632,2878,660,1950,15,87,33,27,32,30,35,28,29,31,26,14,2,10,9,3])).
% 111.97/111.88  cnf(3657,plain,
% 111.97/111.88     (P2(f2(f5(a3,a3),a1),f2(a1,x36571),f2(x36571,a1))),
% 111.97/111.88     inference(scs_inference,[],[140,115,109,134,136,130,127,3652,3654,128,3629,3644,3609,3433,3422,3372,3613,3517,3525,3480,3640,1817,444,1331,2119,3632,2878,660,1950,15,87,33,27,32,30,35,28,29,31,26,14,2,10,9,3,12])).
% 111.97/111.88  cnf(3659,plain,
% 111.97/111.88     (P2(f2(a1,a1),f4(f4(a3)),a1)),
% 111.97/111.88     inference(scs_inference,[],[140,115,109,134,136,3624,130,127,3652,3654,128,3629,3644,3609,3433,3422,3372,1832,3613,3517,3525,3480,3640,1817,444,1331,2119,3632,2878,660,1950,15,87,33,27,32,30,35,28,29,31,26,14,2,10,9,3,12,13])).
% 111.97/111.88  cnf(3670,plain,
% 111.97/111.88     (~P2(f5(a3,a3),f5(a3,a3),f5(f2(a6,a7),f5(a3,a3)))),
% 111.97/111.88     inference(scs_inference,[],[130,3576,383,33])).
% 111.97/111.89  cnf(3671,plain,
% 111.97/111.89     (~P1(f4(x36711),x36711,f5(f2(a6,a7),f5(a3,a3)))),
% 111.97/111.89     inference(rename_variables,[],[3576])).
% 111.97/111.89  cnf(3673,plain,
% 111.97/111.89     (P1(f4(x36731),x36731,f5(a3,a3))),
% 111.97/111.89     inference(rename_variables,[],[130])).
% 111.97/111.89  cnf(3677,plain,
% 111.97/111.89     (P1(f4(x36771),x36771,f5(a3,a3))),
% 111.97/111.89     inference(rename_variables,[],[130])).
% 111.97/111.89  cnf(3680,plain,
% 111.97/111.89     (~P2(f5(f2(a6,a7),a3),f5(a6,a3),f2(a6,a1))),
% 111.97/111.89     inference(scs_inference,[],[130,3673,3605,3576,2173,383,1027,15,33,34,27])).
% 111.97/111.89  cnf(3684,plain,
% 111.97/111.89     (P2(f2(x36841,x36841),f4(x36841),a1)),
% 111.97/111.89     inference(rename_variables,[],[136])).
% 111.97/111.89  cnf(3687,plain,
% 111.97/111.89     (~P1(f2(a1,a1),f2(a1,f2(a6,a7)),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[136,130,3673,128,3605,3576,3528,2284,2173,3480,2587,383,2119,1027,626,15,33,34,27,32,37])).
% 111.97/111.89  cnf(3692,plain,
% 111.97/111.89     (~P2(a3,f5(a3,a3),f5(f2(a6,a7),f5(a3,a3)))),
% 111.97/111.89     inference(scs_inference,[],[132,136,130,3673,3677,128,3605,3576,3671,3528,2284,2173,3480,2587,383,2119,1027,626,18,15,33,34,27,32,37,30])).
% 111.97/111.89  cnf(3694,plain,
% 111.97/111.89     (P1(x36941,f5(f4(x36941),a3),a3)),
% 111.97/111.89     inference(rename_variables,[],[132])).
% 111.97/111.89  cnf(3698,plain,
% 111.97/111.89     (E(f5(f4(a1),f2(a3,a3)),f2(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[132,136,130,3673,3677,128,3605,3576,3671,3528,347,2284,2173,3480,2587,383,2119,1027,415,626,18,15,33,34,27,32,37,30,28])).
% 111.97/111.89  cnf(3705,plain,
% 111.97/111.89     (E(a1,f2(f4(a3),f4(a3)))),
% 111.97/111.89     inference(scs_inference,[],[132,136,3684,130,3673,3677,128,3533,3605,3576,3671,3657,3528,347,2284,2173,3480,2587,3288,383,508,2119,1027,415,626,18,15,33,34,27,32,37,30,28,36,29])).
% 111.97/111.89  cnf(3707,plain,
% 111.97/111.89     (P2(f2(x37071,x37071),f4(x37071),a1)),
% 111.97/111.89     inference(rename_variables,[],[136])).
% 111.97/111.89  cnf(3709,plain,
% 111.97/111.89     (P1(f2(a1,a1),a1,a1)),
% 111.97/111.89     inference(scs_inference,[],[132,136,3684,3707,130,3673,3677,128,3533,3605,3576,3671,3657,3528,347,2284,2173,3480,2587,3288,792,383,508,2119,1027,415,358,626,18,15,33,34,27,32,37,30,28,36,29,31])).
% 111.97/111.89  cnf(3717,plain,
% 111.97/111.89     (E(f2(f5(a3,a3),a1),f2(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[132,136,3684,3707,130,3673,3677,128,3533,3601,3605,3461,3576,3671,3657,3528,347,2284,2173,3480,2587,3288,792,383,508,2119,1027,415,358,626,18,15,33,34,27,32,37,30,28,36,29,31,26,2])).
% 111.97/111.89  cnf(3718,plain,
% 111.97/111.89     (P1(a3,f2(a1,a1),a3)),
% 111.97/111.89     inference(scs_inference,[],[132,3694,136,3684,3707,130,3673,3677,128,3533,3601,3605,3461,3576,3671,3657,3528,347,2284,1243,2173,3480,2587,3288,792,383,508,2119,1027,415,358,626,18,15,33,34,27,32,37,30,28,36,29,31,26,2,10])).
% 111.97/111.89  cnf(3720,plain,
% 111.97/111.89     (P1(x37201,f5(f4(x37201),a3),a3)),
% 111.97/111.89     inference(rename_variables,[],[132])).
% 111.97/111.89  cnf(3721,plain,
% 111.97/111.89     (~E(f2(f5(a3,a3),a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[132,3694,136,3684,3707,130,3673,3677,128,3533,3601,3605,3461,3576,3671,3132,3657,3128,3528,347,2284,1243,2173,3480,2587,3288,792,383,508,2119,1027,415,358,626,18,15,33,34,27,32,37,30,28,36,29,31,26,2,10,14])).
% 111.97/111.89  cnf(3724,plain,
% 111.97/111.89     (~E(f2(f5(a1,a3),a1),f4(a7))),
% 111.97/111.89     inference(scs_inference,[],[132,3694,3720,134,136,3684,3707,130,3673,3677,128,3533,3601,3605,3461,3576,3671,3132,3657,3128,3528,347,3607,2284,1243,2173,3480,2587,3288,792,383,508,2119,1027,415,358,268,626,18,15,33,34,27,32,37,30,28,36,29,31,26,2,10,14,9,3])).
% 111.97/111.89  cnf(3728,plain,
% 111.97/111.89     (~E(f2(f5(a3,a3),f2(a1,a3)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[132,3694,3720,134,136,3684,3707,130,3673,3677,128,3533,3601,3655,3605,3461,3576,3671,3132,3657,3128,3528,347,3607,2284,1243,2173,2752,3480,2587,3288,792,383,1218,508,2119,1027,415,358,268,626,18,15,33,34,27,32,37,30,28,36,29,31,26,2,10,14,9,3,12,13])).
% 111.97/111.89  cnf(3730,plain,
% 111.97/111.89     (P1(f2(a1,a1),f2(a1,a1),f5(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[132,3694,3720,134,136,3684,3707,130,3673,3677,128,3533,3601,3655,3605,3461,3576,3671,3132,3657,3128,3528,347,3607,2284,2537,1243,2173,2752,3480,2587,3288,792,383,1218,508,2119,1027,389,415,358,268,626,18,15,33,34,27,32,37,30,28,36,29,31,26,2,10,14,9,3,12,13,11])).
% 111.97/111.89  cnf(3734,plain,
% 111.97/111.89     (~P2(f5(f4(a1),a3),f2(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[132,1374,393,2119,34])).
% 111.97/111.89  cnf(3736,plain,
% 111.97/111.89     (P1(f2(a1,a1),x37361,f5(x37361,a3))),
% 111.97/111.89     inference(rename_variables,[],[2119])).
% 111.97/111.89  cnf(3739,plain,
% 111.97/111.89     (P2(a3,f5(a3,a1),f5(f5(a1,a3),f2(a3,a3)))),
% 111.97/111.89     inference(scs_inference,[],[132,3056,1374,393,2119,34,27])).
% 111.97/111.89  cnf(3746,plain,
% 111.97/111.89     (P2(f2(a3,a1),f5(a1,a3),f5(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[132,3730,2036,3056,3657,2696,552,1374,393,2119,3736,230,34,27,37,35])).
% 111.97/111.89  cnf(3754,plain,
% 111.97/111.89     (~P2(f2(a6,a7),f2(a6,a1),f2(a6,a1))),
% 111.97/111.89     inference(scs_inference,[],[132,136,128,3730,2036,2748,2114,3583,3056,3718,1673,3657,2696,552,1374,2720,393,2119,3736,230,34,27,37,35,28,36,29])).
% 111.97/111.89  cnf(3755,plain,
% 111.97/111.89     (P2(x37551,x37552,f5(x37552,x37551))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(3759,plain,
% 111.97/111.89     (P2(x37591,x37592,f5(x37592,x37591))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(3764,plain,
% 111.97/111.89     (~E(f2(a6,a7),f2(f5(a3,a3),a3))),
% 111.97/111.89     inference(scs_inference,[],[132,136,128,3755,3730,3721,2036,3569,2748,2114,3583,3056,2657,3718,1673,3657,2696,552,1885,1374,2720,393,2119,3736,230,626,34,27,37,35,28,36,29,31,26,2])).
% 111.97/111.89  cnf(3765,plain,
% 111.97/111.89     (~P2(f5(f2(a6,a3),f2(a6,a1)),f2(a6,a7),f5(a6,a3))),
% 111.97/111.89     inference(scs_inference,[],[132,136,127,128,3755,3730,3721,2036,3569,2748,3211,2114,3583,3056,2657,3718,1673,3657,2696,552,1885,1374,2720,393,2119,3736,230,626,34,27,37,35,28,36,29,31,26,2,14])).
% 111.97/111.89  cnf(3766,plain,
% 111.97/111.89     (E(f5(x37661,a3),x37661)),
% 111.97/111.89     inference(rename_variables,[],[127])).
% 111.97/111.89  cnf(3767,plain,
% 111.97/111.89     (P1(f2(f5(a3,a3),a1),f2(a1,a1),a3)),
% 111.97/111.89     inference(scs_inference,[],[132,134,136,127,128,3755,3730,3721,2036,3569,2748,3211,2114,3583,3056,2657,3718,1673,3657,2696,552,1885,1374,2720,393,2119,3736,230,626,34,27,37,35,28,36,29,31,26,2,14,9])).
% 111.97/111.89  cnf(3768,plain,
% 111.97/111.89     (E(x37681,f2(f5(x37681,a3),a1))),
% 111.97/111.89     inference(rename_variables,[],[134])).
% 111.97/111.89  cnf(3769,plain,
% 111.97/111.89     (P1(f5(a3,a1),f2(f5(a1,a3),a1),f5(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[132,134,3768,136,127,128,3755,3730,3721,2036,3569,2748,3211,2114,3583,3210,3056,2657,3718,1673,3657,2696,552,1885,1374,2720,393,2119,3736,230,626,34,27,37,35,28,36,29,31,26,2,14,9,10])).
% 111.97/111.89  cnf(3770,plain,
% 111.97/111.89     (E(x37701,f2(f5(x37701,a3),a1))),
% 111.97/111.89     inference(rename_variables,[],[134])).
% 111.97/111.89  cnf(3771,plain,
% 111.97/111.89     (E(f4(a3),f2(f5(a1,a3),a1))),
% 111.97/111.89     inference(scs_inference,[],[132,134,3768,3770,136,127,128,3755,3730,3721,2036,3569,2748,3211,2114,3583,3210,3056,2657,3718,1673,3657,2696,552,1885,1374,2720,393,2119,3736,681,230,626,34,27,37,35,28,36,29,31,26,2,14,9,10,3])).
% 111.97/111.89  cnf(3773,plain,
% 111.97/111.89     (~E(a6,f2(a1,a7))),
% 111.97/111.89     inference(scs_inference,[],[132,134,3768,3770,136,127,128,3755,3730,3721,2036,3569,2748,3211,3398,2114,3583,3210,3056,2657,3718,1673,3657,2696,552,1885,1374,2720,393,2119,3736,681,1395,230,626,34,27,37,35,28,36,29,31,26,2,14,9,10,3,12])).
% 111.97/111.89  cnf(3777,plain,
% 111.97/111.89     (~E(f5(a3,a1),f4(f2(a6,a7)))),
% 111.97/111.89     inference(scs_inference,[],[142,132,134,3768,3770,136,127,3766,128,3755,3730,3721,2036,3569,2748,3211,3398,2114,3583,3210,3056,2657,3718,2298,1673,3657,2696,552,1885,1374,2720,1223,393,2119,3736,681,1395,230,626,34,27,37,35,28,36,29,31,26,2,14,9,10,3,12,13,11])).
% 111.97/111.89  cnf(3778,plain,
% 111.97/111.89     (P1(f2(x37781,a3),f2(x37781,a3),f2(x37781,a3))+~P1(a3,a3,a3)),
% 111.97/111.89     inference(scs_inference,[],[142,132,134,3768,3770,136,127,3766,128,3755,3730,3721,2036,3569,2748,3211,3398,2114,3583,3210,3056,2657,3718,3648,2298,1673,3657,2696,552,1885,1374,2720,1223,393,2119,3736,681,1395,230,626,34,27,37,35,28,36,29,31,26,2,14,9,10,3,12,13,11,32])).
% 111.97/111.89  cnf(3780,plain,
% 111.97/111.89     (~P1(f2(f5(a3,a3),f5(a3,a3)),f5(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[142,132,134,3768,3770,136,130,127,3766,128,3755,3759,3730,3721,2036,3569,2748,3211,3398,2114,3562,3583,3210,3056,2657,3718,3648,2298,1673,3657,3079,2696,552,1885,1374,2720,1223,393,2119,3736,681,1395,230,626,34,27,37,35,28,36,29,31,26,2,14,9,10,3,12,13,11,32,30])).
% 111.97/111.89  cnf(3785,plain,
% 111.97/111.89     (P2(a1,f5(f2(a1,a3),f2(a1,a3)),a1)),
% 111.97/111.89     inference(scs_inference,[],[3547,2454,34])).
% 111.97/111.89  cnf(3787,plain,
% 111.97/111.89     (~P2(a3,f2(f4(a3),f4(a1)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[142,3547,2454,34,27])).
% 111.97/111.89  cnf(3790,plain,
% 111.97/111.89     (P2(x37901,x37902,f5(x37902,x37901))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(3792,plain,
% 111.97/111.89     (P2(f4(a1),f2(f4(a3),f4(a3)),f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[142,115,128,3790,3709,3642,3547,2454,1273,1205,34,27,32,37])).
% 111.97/111.89  cnf(3793,plain,
% 111.97/111.89     (P2(x37931,x37932,f5(x37932,x37931))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(3796,plain,
% 111.97/111.89     (P1(f5(a1,a1),f2(f4(a3),a1),f5(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[142,115,128,3790,3793,3020,3709,3642,3547,2454,1273,1205,34,27,32,37,30])).
% 111.97/111.89  cnf(3798,plain,
% 111.97/111.89     (P2(x37981,x37982,f5(x37982,x37981))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(3801,plain,
% 111.97/111.89     (P2(x38011,x38012,f5(x38012,x38011))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(3804,plain,
% 111.97/111.89     (~P1(f2(f5(a1,a1),a3),f5(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[142,115,128,3790,3793,3798,3764,2645,3020,3709,3642,3398,2890,3547,2454,1273,1205,1950,34,27,32,37,30,35,28])).
% 111.97/111.89  cnf(3813,plain,
% 111.97/111.89     (P2(x38131,x38132,f5(x38132,x38131))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(3817,plain,
% 111.97/111.89     (E(f2(a1,a3),f5(f4(a1),f2(a3,a3)))),
% 111.97/111.89     inference(scs_inference,[],[142,115,128,3790,3793,3798,3801,3698,3780,3764,2645,1987,3020,3709,3642,3398,2890,3547,2454,236,691,1273,1205,1950,15,34,27,32,37,30,35,28,36,29,26,2])).
% 111.97/111.89  cnf(3818,plain,
% 111.97/111.89     (~P1(f5(a3,a3),f5(a6,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[142,115,127,128,3790,3793,3798,3801,3698,3780,3764,2993,2645,1987,3020,3709,3642,3398,2890,3547,2454,236,691,1273,1205,1950,15,34,27,32,37,30,35,28,36,29,26,2,9])).
% 111.97/111.89  cnf(3819,plain,
% 111.97/111.89     (E(f5(x38191,a3),x38191)),
% 111.97/111.89     inference(rename_variables,[],[127])).
% 111.97/111.89  cnf(3820,plain,
% 111.97/111.89     (P2(f2(a3,a3),f4(a1),f2(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[142,115,127,128,3790,3793,3798,3801,3813,3698,3780,3764,2993,2645,1987,3020,3709,3642,3398,2890,3547,2454,236,691,1273,1205,1950,15,34,27,32,37,30,35,28,36,29,26,2,9,14])).
% 111.97/111.89  cnf(3823,plain,
% 111.97/111.89     (E(f5(x38231,a3),x38231)),
% 111.97/111.89     inference(rename_variables,[],[127])).
% 111.97/111.89  cnf(3824,plain,
% 111.97/111.89     (E(f5(a1,a3),f2(f4(a3),f4(a3)))),
% 111.97/111.89     inference(scs_inference,[],[142,115,127,3819,3823,128,3790,3793,3798,3801,3813,3698,3780,3764,3126,2993,2645,3705,1987,3020,3709,3642,3398,2890,3547,2454,236,691,1273,1205,1950,15,34,27,32,37,30,35,28,36,29,26,2,9,14,10,3])).
% 111.97/111.89  cnf(3826,plain,
% 111.97/111.89     (P2(f2(f5(a3,a3),a1),a3,f2(x38261,a3))),
% 111.97/111.89     inference(scs_inference,[],[142,115,134,127,3819,3823,128,3790,3793,3798,3801,3813,3698,3780,3764,3126,2993,2645,3705,1987,3020,3709,3642,3398,2890,3547,3648,2454,236,691,1273,1205,1950,15,34,27,32,37,30,35,28,36,29,26,2,9,14,10,3,12])).
% 111.97/111.89  cnf(3828,plain,
% 111.97/111.89     (P2(f2(f5(x38281,a3),f5(x38281,a3)),f4(x38281),a1)),
% 111.97/111.89     inference(scs_inference,[],[142,115,134,136,127,3819,3823,128,3790,3793,3798,3801,3813,3698,3780,3764,2700,3126,2993,2645,3705,1987,3020,3709,3642,3398,2890,3547,3648,2454,236,691,1273,1205,1950,15,34,27,32,37,30,35,28,36,29,26,2,9,14,10,3,12,13])).
% 111.97/111.89  cnf(3835,plain,
% 111.97/111.89     (P2(f5(f4(a3),f2(a3,a3)),a3,f5(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[128,3769,347,406,34])).
% 111.97/111.89  cnf(3836,plain,
% 111.97/111.89     (P2(x38361,x38362,f5(x38362,x38361))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(3840,plain,
% 111.97/111.89     (P2(f5(a1,a3),f2(a3,a1),f5(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[128,3746,3769,347,406,34,27])).
% 111.97/111.89  cnf(3843,plain,
% 111.97/111.89     (P1(f4(x38431),x38431,f5(a3,a3))),
% 111.97/111.89     inference(rename_variables,[],[130])).
% 111.97/111.89  cnf(3848,plain,
% 111.97/111.89     (P2(x38481,x38482,f5(x38482,x38481))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(3850,plain,
% 111.97/111.89     (P1(f2(a3,a1),f5(f4(a3),f2(a3,a3)),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[130,3843,128,3836,3646,3746,3687,3769,3239,3504,347,406,2316,1205,59,34,27,32,37,30])).
% 111.97/111.89  cnf(3852,plain,
% 111.97/111.89     (E(f2(f4(a3),f4(a3)),f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[115,130,3843,128,3836,3646,3746,3687,3769,3239,3504,347,406,2316,1205,23,59,34,27,32,37,30,28])).
% 111.97/111.89  cnf(3859,plain,
% 111.97/111.89     (~P2(f5(f2(a3,a1),f5(a3,a3)),f2(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[115,142,130,3843,128,3836,3646,3746,3169,3687,3769,3318,3586,3239,3504,347,3224,406,2316,1205,19,23,17,87,59,34,27,32,37,30,28,35,36])).
% 111.97/111.89  cnf(3862,plain,
% 111.97/111.89     (E(f5(f2(x38621,a3),x38621),f5(x38621,a3))),
% 111.97/111.89     inference(scs_inference,[],[115,142,130,3843,128,3836,3848,3646,3746,3169,3687,3769,3318,3586,3239,3504,347,3224,406,2316,1021,1205,19,23,17,87,59,34,27,32,37,30,28,35,36,29])).
% 111.97/111.89  cnf(3864,plain,
% 111.97/111.89     (P2(x38641,x38642,f5(x38642,x38641))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(3868,plain,
% 111.97/111.89     (~E(f2(a6,a7),f2(f5(a3,a3),f2(a1,a3)))),
% 111.97/111.89     inference(scs_inference,[],[115,142,130,3843,128,3836,3848,3646,3746,3796,3169,3728,3687,3769,3318,3586,3239,3504,347,3224,406,2316,1021,1205,19,23,17,87,59,34,27,32,37,30,28,35,36,29,26,2])).
% 111.97/111.89  cnf(3869,plain,
% 111.97/111.89     (P1(f2(a1,a1),a1,f2(f4(a3),f4(a3)))),
% 111.97/111.89     inference(scs_inference,[],[115,142,130,3843,128,3836,3848,3646,3746,3796,3169,3728,3687,3769,3318,3586,3239,3504,347,3224,406,2316,1021,1205,463,19,23,17,87,59,34,27,32,37,30,28,35,36,29,26,2,9])).
% 111.97/111.89  cnf(3871,plain,
% 111.97/111.89     (P1(x38711,f5(f4(x38711),f2(a1,a3)),a3)),
% 111.97/111.89     inference(scs_inference,[],[115,142,132,130,3843,128,3836,3848,3646,3746,3796,3169,3728,3687,3769,3318,3586,3239,3504,2397,347,3224,406,2316,1021,1205,463,19,23,17,87,59,34,27,32,37,30,28,35,36,29,26,2,9,10])).
% 111.97/111.89  cnf(3873,plain,
% 111.97/111.89     (~E(f2(a1,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[115,142,132,130,3843,128,3836,3848,3646,3746,3796,3169,3728,3687,3769,3468,3820,3318,3586,3239,3504,2397,347,3224,406,2316,1021,1205,463,19,23,17,87,59,34,27,32,37,30,28,35,36,29,26,2,9,10,14])).
% 111.97/111.89  cnf(3874,plain,
% 111.97/111.89     (~E(f2(f5(a6,a3),a1),f2(a1,a7))),
% 111.97/111.89     inference(scs_inference,[],[115,142,132,134,130,3843,128,3836,3848,3646,3746,3796,3169,3728,3687,3769,3468,3820,3318,3586,3239,3773,3504,2397,347,3224,406,2316,1021,1205,463,19,23,17,87,59,34,27,32,37,30,28,35,36,29,26,2,9,10,14,3])).
% 111.97/111.89  cnf(3877,plain,
% 111.97/111.89     (~E(f2(f5(a1,a1),f2(a3,a3)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[115,142,132,134,130,3843,128,3836,3848,3646,3746,3796,3169,3728,3687,3769,3468,3820,3771,3318,3586,3239,3773,1296,3504,2397,347,3224,406,2316,2126,1021,3288,1205,463,19,23,17,87,59,34,27,32,37,30,28,35,36,29,26,2,9,10,14,3,12,13])).
% 111.97/111.89  cnf(3878,plain,
% 111.97/111.89     (P1(f2(a3,a1),a1,f2(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[115,142,132,134,130,3843,128,3836,3848,3646,3717,3746,3796,3169,3728,3687,3769,3468,3820,3771,3318,3586,3239,3773,1296,3504,2397,347,299,3224,406,2316,2126,1021,3288,1205,463,19,23,17,87,59,34,27,32,37,30,28,35,36,29,26,2,9,10,14,3,12,13,11])).
% 111.97/111.89  cnf(3880,plain,
% 111.97/111.89     (P1(a3,f5(a1,a3),a3)),
% 111.97/111.89     inference(scs_inference,[],[115,142,132,121,134,130,3843,128,3836,3848,3864,3646,3717,3746,3796,3169,3728,3687,3769,3468,3820,3771,3318,3586,3239,3773,1296,3504,2397,347,299,3224,406,2316,2126,1021,3288,1205,463,19,15,23,17,87,59,34,27,32,37,30,28,35,36,29,26,2,9,10,14,3,12,13,11,31])).
% 111.97/111.89  cnf(3892,plain,
% 111.97/111.89     (~P2(f2(a3,a3),f5(a3,a3),f5(f2(a6,a7),f2(a3,a1)))),
% 111.97/111.89     inference(scs_inference,[],[132,136,3734,3452,2858,881,1011,635,17,33,27,37])).
% 111.97/111.89  cnf(3897,plain,
% 111.97/111.89     (~P2(f2(f4(a3),f4(a3)),f4(a1),f4(a7))),
% 111.97/111.89     inference(scs_inference,[],[115,132,136,3734,3452,2858,881,595,1011,292,635,20,17,33,27,37,32])).
% 111.97/111.89  cnf(3910,plain,
% 111.97/111.89     (~P1(a3,f5(a1,a3),f5(f2(a6,a7),a3))),
% 111.97/111.89     inference(scs_inference,[],[115,132,136,128,3734,3495,3880,3452,2858,881,3709,1948,372,1742,299,595,1011,292,1087,635,20,15,17,33,27,37,32,35,30,28])).
% 111.97/111.89  cnf(3912,plain,
% 111.97/111.89     (~P2(f2(f5(a3,a3),a1),a3,f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[115,132,136,128,3734,3873,3495,3880,3452,3826,2858,881,3709,1948,372,1742,299,595,1011,292,1087,635,20,15,17,33,27,37,32,35,30,28,29])).
% 111.97/111.89  cnf(3915,plain,
% 111.97/111.89     (~P1(f5(a3,a3),f2(f5(a1,a1),a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[115,132,136,128,3734,3804,3873,3495,3880,3452,3826,2858,881,3709,1948,372,1742,299,595,1011,292,1087,635,20,15,17,33,27,37,32,35,30,28,29,26])).
% 111.97/111.89  cnf(3917,plain,
% 111.97/111.89     (P1(f2(f5(a3,a3),a1),f5(a1,a3),a3)),
% 111.97/111.89     inference(scs_inference,[],[115,132,136,134,128,3734,3804,3873,3495,3880,3452,3826,2858,881,3709,1948,372,1742,299,595,1011,292,1087,635,20,15,17,33,27,37,32,35,30,28,29,26,9])).
% 111.97/111.89  cnf(3918,plain,
% 111.97/111.89     (E(x39181,f2(f5(x39181,a3),a1))),
% 111.97/111.89     inference(rename_variables,[],[134])).
% 111.97/111.89  cnf(3919,plain,
% 111.97/111.89     (E(f2(a1,a1),f2(f4(a3),f4(a3)))),
% 111.97/111.89     inference(scs_inference,[],[115,132,136,134,128,3852,3734,3804,3873,3495,3880,3452,3826,2858,881,3709,1948,372,1742,299,595,1011,292,1087,635,20,15,17,33,27,37,32,35,30,28,29,26,9,2])).
% 111.97/111.89  cnf(3920,plain,
% 111.97/111.89     (~P2(f2(a6,a7),f2(a6,a1),f5(f2(a6,a1),a3))),
% 111.97/111.89     inference(scs_inference,[],[115,132,136,134,127,128,3852,3734,3804,3754,3873,3495,3880,3452,3826,2858,881,3709,1948,372,1742,299,595,1011,292,1087,635,20,15,17,33,27,37,32,35,30,28,29,26,9,2,14])).
% 111.97/111.89  cnf(3921,plain,
% 111.97/111.89     (E(f5(x39211,a3),x39211)),
% 111.97/111.89     inference(rename_variables,[],[127])).
% 111.97/111.89  cnf(3922,plain,
% 111.97/111.89     (P1(f2(a3,a1),f2(f5(a1,a3),a1),f2(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[115,132,136,134,3918,127,128,3852,3734,3804,3754,3873,3495,3880,3452,3878,3826,2858,881,3709,1948,372,1742,299,595,1011,292,1087,635,20,15,17,33,27,37,32,35,30,28,29,26,9,2,14,10])).
% 111.97/111.89  cnf(3923,plain,
% 111.97/111.89     (E(x39231,f2(f5(x39231,a3),a1))),
% 111.97/111.89     inference(rename_variables,[],[134])).
% 111.97/111.89  cnf(3924,plain,
% 111.97/111.89     (E(f2(a1,x39241),f2(f5(x39241,a3),a1))),
% 111.97/111.89     inference(scs_inference,[],[115,132,136,134,3918,3923,127,128,3852,3734,3804,3754,3873,3495,3880,3452,3878,3826,2858,881,3709,1948,372,1742,299,595,1011,292,1087,557,635,20,15,17,33,27,37,32,35,30,28,29,26,9,2,14,10,3])).
% 111.97/111.89  cnf(3926,plain,
% 111.97/111.89     (~E(f2(f2(a6,a7),a1),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[115,132,136,134,3918,3923,127,128,3852,3734,3804,3754,3873,3495,3670,3880,3452,3878,3826,2858,881,3709,1948,372,1742,299,595,1011,292,1087,1454,557,635,20,15,17,33,27,37,32,35,30,28,29,26,9,2,14,10,3,12])).
% 111.97/111.89  cnf(3930,plain,
% 111.97/111.89     (~E(f5(f5(a3,a3),f2(a3,a3)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[115,132,136,134,3918,3923,127,3921,128,3852,3734,3804,3754,3873,3476,3495,3670,3880,3452,3878,3826,2858,1501,881,3709,1948,372,1742,299,595,1011,292,1087,1454,557,635,20,15,17,33,27,37,32,35,30,28,29,26,9,2,14,10,3,12,13,11])).
% 111.97/111.89  cnf(3941,plain,
% 111.97/111.89     (P2(x39411,x39412,f5(x39412,x39411))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(3948,plain,
% 111.97/111.89     (P2(f2(f4(a3),f4(a3)),f4(a1),f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[142,128,3283,3792,2049,3480,1263,1950,626,34,37,27])).
% 111.97/111.89  cnf(3951,plain,
% 111.97/111.89     (P2(x39511,x39512,f5(x39512,x39511))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(3952,plain,
% 111.97/111.89     (P2(f2(x39521,x39521),f4(x39521),a1)),
% 111.97/111.89     inference(rename_variables,[],[136])).
% 111.97/111.89  cnf(3955,plain,
% 111.97/111.89     (P2(f2(a3,f4(a3)),f5(a3,a3),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[142,136,130,128,3941,2578,3283,3792,3828,420,2049,3480,1263,1950,626,18,34,37,27,32,35])).
% 111.97/111.89  cnf(3958,plain,
% 111.97/111.89     (P1(f4(x39581),x39581,f5(a3,a3))),
% 111.97/111.89     inference(rename_variables,[],[130])).
% 111.97/111.89  cnf(3961,plain,
% 111.97/111.89     (~P2(f5(a3,a3),f2(a3,a1),f5(f2(a6,a7),f2(a3,a1)))),
% 111.97/111.89     inference(scs_inference,[],[142,136,130,3958,128,3941,2578,3283,3792,3828,3407,420,2049,1134,3480,1263,1950,626,16,18,34,37,27,32,35,30])).
% 111.97/111.89  cnf(3964,plain,
% 111.97/111.89     (P1(f4(x39641),x39641,f5(a3,a3))),
% 111.97/111.89     inference(rename_variables,[],[130])).
% 111.97/111.89  cnf(3967,plain,
% 111.97/111.89     (~P1(f4(x39671),x39671,f2(f2(a6,a7),a1))),
% 111.97/111.89     inference(scs_inference,[],[142,136,130,3958,3964,128,3941,3926,2578,3283,3792,3828,3407,420,2049,1134,3480,1263,1950,626,16,18,34,37,27,32,35,30,28])).
% 111.97/111.89  cnf(3972,plain,
% 111.97/111.89     (~P2(a3,a3,f2(f2(a6,a7),a1))),
% 111.97/111.89     inference(scs_inference,[],[142,136,130,3958,3964,128,3941,3951,3926,2578,3283,3792,3828,2417,3407,420,2049,1134,3657,3480,3288,1263,1950,626,16,18,34,37,27,32,35,30,28,36,29])).
% 111.97/111.89  cnf(3973,plain,
% 111.97/111.89     (P2(x39731,x39732,f5(x39732,x39731))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(3977,plain,
% 111.97/111.89     (~E(f2(a6,a7),f5(f5(a3,a3),f2(a3,a3)))),
% 111.97/111.89     inference(scs_inference,[],[142,136,130,3958,3964,128,3941,3951,3850,3930,3926,2578,3283,3792,3828,2417,3407,420,2049,1134,3657,3480,3288,1263,1950,626,16,18,34,37,27,32,35,30,28,36,29,26,2])).
% 111.97/111.89  cnf(3979,plain,
% 111.97/111.89     (E(f5(x39791,a3),x39791)),
% 111.97/111.89     inference(rename_variables,[],[127])).
% 111.97/111.89  cnf(3980,plain,
% 111.97/111.89     (P2(a3,a1,f2(f4(a3),f4(a3)))),
% 111.97/111.89     inference(scs_inference,[],[147,142,136,130,3958,3964,127,128,3941,3951,3973,3850,3824,3930,3926,2578,3283,3792,3828,2417,3407,420,2049,1134,3657,3480,3288,1263,1950,626,16,18,34,37,27,32,35,30,28,36,29,26,2,9,14])).
% 111.97/111.89  cnf(3981,plain,
% 111.97/111.89     (P2(x39811,x39812,f5(x39812,x39811))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(3983,plain,
% 111.97/111.89     (E(f5(x39831,a3),x39831)),
% 111.97/111.89     inference(rename_variables,[],[127])).
% 111.97/111.89  cnf(3984,plain,
% 111.97/111.89     (~E(f5(f2(a6,a7),a6),f5(a6,a3))),
% 111.97/111.89     inference(scs_inference,[],[152,147,142,136,130,3958,3964,127,3979,3983,128,3941,3951,3973,3850,3824,3930,3926,2578,3283,3792,3828,2417,3407,420,2049,1134,3657,3480,3288,1263,1950,626,16,18,34,37,27,32,35,30,28,36,29,26,2,9,14,10,3])).
% 111.97/111.89  cnf(3985,plain,
% 111.97/111.89     (E(f5(x39851,a3),x39851)),
% 111.97/111.89     inference(rename_variables,[],[127])).
% 111.97/111.89  cnf(3986,plain,
% 111.97/111.89     (P2(f2(f5(x39861,a3),a1),f2(a3,a3),f2(x39861,x39861))),
% 111.97/111.89     inference(scs_inference,[],[152,147,142,136,134,130,3958,3964,127,3979,3983,128,3941,3951,3973,3850,3824,3930,3926,2578,3283,3792,3828,2417,3407,420,2049,1134,3657,3480,393,3288,1263,1950,626,16,18,34,37,27,32,35,30,28,36,29,26,2,9,14,10,3,12])).
% 111.97/111.89  cnf(3988,plain,
% 111.97/111.89     (P2(f2(a1,a1),f2(f5(a3,a3),a1),a1)),
% 111.97/111.89     inference(scs_inference,[],[152,147,142,136,3952,134,130,3958,3964,127,3979,3983,128,3941,3951,3973,3850,3824,3930,3926,2578,3283,3427,3792,3828,2417,3407,420,2049,1134,3657,3480,393,3288,1263,1950,626,16,18,34,37,27,32,35,30,28,36,29,26,2,9,14,10,3,12,13])).
% 111.97/111.89  cnf(3992,plain,
% 111.97/111.89     (P1(f5(a3,f4(a3)),f5(a3,a3),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[152,147,142,136,3952,134,130,3958,3964,127,3979,3983,3985,128,3941,3951,3973,3981,3850,3824,3930,3926,2578,3283,3427,3792,3828,2417,3407,420,669,2049,1134,3657,3480,393,3288,1263,1950,626,16,18,34,37,27,32,35,30,28,36,29,26,2,9,14,10,3,12,13,11,33])).
% 111.97/111.89  cnf(4000,plain,
% 111.97/111.89     (P1(f5(f2(a3,a3),f5(a1,a3)),f2(x40001,a3),f2(x40001,a3))),
% 111.97/111.89     inference(scs_inference,[],[2165,3648,33])).
% 111.97/111.89  cnf(4002,plain,
% 111.97/111.89     (~P2(f2(a3,a3),f5(f2(a3,a1),f5(a3,a3)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[3859,2165,3648,33,27])).
% 111.97/111.89  cnf(4012,plain,
% 111.97/111.89     (P1(f4(x40121),x40121,f5(a3,a3))),
% 111.97/111.89     inference(rename_variables,[],[130])).
% 111.97/111.89  cnf(4013,plain,
% 111.97/111.89     (P2(x40131,f2(x40131,a3),f2(x40131,a1))),
% 111.97/111.89     inference(rename_variables,[],[1738])).
% 111.97/111.89  cnf(4016,plain,
% 111.97/111.89     (E(f5(a3,a3),f4(a1))),
% 111.97/111.89     inference(scs_inference,[],[130,4012,3859,3508,3972,2574,2165,2363,881,3648,778,299,1275,1738,635,15,33,27,37,35,30,28])).
% 111.97/111.89  cnf(4021,plain,
% 111.97/111.89     (P2(x40211,x40212,f5(x40212,x40211))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(4024,plain,
% 111.97/111.89     (E(f5(f2(x40241,a3),x40241),f2(x40241,a1))),
% 111.97/111.89     inference(scs_inference,[],[130,4012,128,4021,3859,1306,3508,3972,2574,1429,2165,2363,881,3648,778,299,1275,1738,4013,1263,635,15,33,27,37,35,30,28,36,29])).
% 111.97/111.89  cnf(4028,plain,
% 111.97/111.89     (~P1(f5(a6,a3),f5(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[130,4012,128,4021,3859,3818,1306,3508,3972,2574,1429,2165,2363,881,3648,778,299,1275,1738,4013,1263,635,15,33,27,37,35,30,28,36,29,26])).
% 111.97/111.89  cnf(4030,plain,
% 111.97/111.89     (E(f5(x40301,a3),f5(f2(x40301,a3),x40301))),
% 111.97/111.89     inference(scs_inference,[],[130,4012,128,4021,3859,3818,3862,1306,3508,3972,2574,1429,2165,2363,881,3648,778,299,1275,1738,4013,1263,635,15,33,27,37,35,30,28,36,29,26,2])).
% 111.97/111.89  cnf(4031,plain,
% 111.97/111.89     (P1(f2(a1,x40311),f5(f4(x40311),a3),a3)),
% 111.97/111.89     inference(scs_inference,[],[132,130,4012,128,4021,3859,3818,3862,1306,3508,3972,2574,1429,2165,2363,881,3648,778,299,1275,1738,4013,1263,463,635,15,33,27,37,35,30,28,36,29,26,2,9])).
% 111.97/111.89  cnf(4033,plain,
% 111.97/111.89     (~E(f5(f2(a3,a1),f2(a3,a3)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[132,130,4012,128,4021,3859,3818,3862,1306,3508,3972,2574,1429,1972,3496,2165,2363,881,3648,778,299,1275,1738,4013,1263,463,635,15,33,27,37,35,30,28,36,29,26,2,9,14])).
% 111.97/111.89  cnf(4034,plain,
% 111.97/111.89     (P1(x40341,f5(f4(x40341),f2(a3,a3)),a3)),
% 111.97/111.89     inference(scs_inference,[],[132,130,4012,128,4021,3859,3818,3862,1306,3508,3972,2574,1429,1972,3496,1746,2165,2363,881,3648,778,299,1275,1738,4013,1263,463,635,15,33,27,37,35,30,28,36,29,26,2,9,14,10])).
% 111.97/111.89  cnf(4036,plain,
% 111.97/111.89     (~E(f2(f5(a7,a3),a1),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[132,134,130,4012,128,4021,3859,3818,3862,1306,3508,3972,2574,1429,1972,3496,1746,2165,1813,2363,881,3648,778,299,1275,1738,4013,1263,463,635,15,33,27,37,35,30,28,36,29,26,2,9,14,10,3])).
% 111.97/111.89  cnf(4037,plain,
% 111.97/111.89     (E(x40371,f2(f5(x40371,a3),a1))),
% 111.97/111.89     inference(rename_variables,[],[134])).
% 111.97/111.89  cnf(4038,plain,
% 111.97/111.89     (~P2(f2(f2(a3,a3),f2(a3,a3)),f2(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[132,134,130,4012,128,4021,3859,3818,3862,1306,3508,3972,2574,2723,1429,2251,1972,3496,1746,2165,1813,2363,881,3648,778,299,1275,1738,4013,1263,463,635,15,33,27,37,35,30,28,36,29,26,2,9,14,10,3,12])).
% 111.97/111.89  cnf(4040,plain,
% 111.97/111.89     (P2(f5(a1,a3),f2(f5(a3,a3),a1),f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[132,134,4037,130,4012,128,4021,3859,3818,3862,1306,3508,3972,2574,2723,1429,2251,1972,3496,1746,2165,1813,2363,881,3648,778,299,1209,1275,1738,4013,1263,463,635,15,33,27,37,35,30,28,36,29,26,2,9,14,10,3,12,13])).
% 111.97/111.89  cnf(4042,plain,
% 111.97/111.89     (P1(f2(a3,a3),f4(a3),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[132,134,4037,130,4012,128,4021,3859,3818,3862,1827,1306,3508,3972,2574,2723,1429,2251,1972,3496,1746,2165,1813,2363,881,3648,778,299,1209,1275,1738,4013,1263,463,635,15,33,27,37,35,30,28,36,29,26,2,9,14,10,3,12,13,11])).
% 111.97/111.89  cnf(4048,plain,
% 111.97/111.89     (P1(f2(a3,a1),f2(a3,a1),f2(a3,a1))+~P1(f5(a3,a3),f5(a3,a3),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[132,134,4037,130,4012,128,4021,3680,3859,3818,3862,1827,1306,3508,3972,2574,2723,1429,2251,1972,3496,1746,2165,1813,3504,2363,881,3648,778,299,1209,1275,1738,4013,754,2119,1263,463,635,15,33,27,37,35,30,28,36,29,26,2,9,14,10,3,12,13,11,34,32])).
% 111.97/111.89  cnf(4053,plain,
% 111.97/111.89     (~P2(f5(a3,a3),f5(a3,a3),f2(f2(a6,a7),a1))),
% 111.97/111.89     inference(scs_inference,[],[130,3967,645,33])).
% 111.97/111.89  cnf(4055,plain,
% 111.97/111.89     (~P1(f4(x40551),x40551,f2(f2(a6,a7),a1))),
% 111.97/111.89     inference(rename_variables,[],[3967])).
% 111.97/111.89  cnf(4057,plain,
% 111.97/111.89     (P1(f4(x40571),x40571,f5(a3,a3))),
% 111.97/111.89     inference(rename_variables,[],[130])).
% 111.97/111.89  cnf(4059,plain,
% 111.97/111.89     (P2(f2(a3,a1),f2(a1,a3),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[130,3967,848,2238,1629,645,33,34])).
% 111.97/111.89  cnf(4062,plain,
% 111.97/111.89     (P2(f2(f5(a3,a3),a1),f5(a1,a3),f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[130,4040,3967,848,2238,1629,645,33,34,27])).
% 111.97/111.89  cnf(4064,plain,
% 111.97/111.89     (~P2(f5(f4(a6),a3),f2(a6,a3),a7)),
% 111.97/111.89     inference(scs_inference,[],[132,130,128,4040,3967,2917,848,2238,1629,645,1738,33,34,27,32])).
% 111.97/111.89  cnf(4066,plain,
% 111.97/111.89     (P2(x40661,x40662,f5(x40662,x40661))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(4069,plain,
% 111.97/111.89     (P2(a3,f5(a3,a3),f5(f2(a3,a3),f2(a3,a1)))),
% 111.97/111.89     inference(scs_inference,[],[132,130,4057,128,4066,4040,3967,2917,3378,848,2238,1629,645,1738,20,33,34,27,32,37])).
% 111.97/111.89  cnf(4070,plain,
% 111.97/111.89     (P2(x40701,x40702,f5(x40702,x40701))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(4071,plain,
% 111.97/111.89     (P1(f4(x40711),x40711,f5(a3,a3))),
% 111.97/111.89     inference(rename_variables,[],[130])).
% 111.97/111.89  cnf(4075,plain,
% 111.97/111.89     (P2(x40751,x40752,f5(x40752,x40751))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(4077,plain,
% 111.97/111.89     (P1(f5(a3,a3),f2(f5(a1,a1),a1),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[154,132,130,4057,128,4066,4070,4075,4040,3967,4042,1450,2917,3378,848,2238,1629,645,1738,20,33,34,27,32,37,35,30])).
% 111.97/111.89  cnf(4079,plain,
% 111.97/111.89     (P2(x40791,x40792,f5(x40792,x40791))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(4083,plain,
% 111.97/111.89     (~P1(f4(x40831),f5(x40831,x40831),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[154,132,130,4057,4071,128,4066,4070,4075,4079,4040,3967,4042,1450,2917,3378,2789,848,2238,1629,645,1738,20,33,34,27,32,37,35,30,28,36])).
% 111.97/111.89  cnf(4088,plain,
% 111.97/111.89     (P1(f2(f5(a1,a3),a1),f2(a3,a1),f2(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[154,132,130,4057,4071,128,4066,4070,4075,4079,3922,4040,3967,3777,4042,1450,2917,3445,3378,2789,848,2238,1629,645,1738,20,33,34,27,32,37,35,30,28,36,29,26])).
% 111.97/111.89  cnf(4090,plain,
% 111.97/111.89     (~E(f2(a6,a7),f5(f2(a3,a1),f2(a3,a3)))),
% 111.97/111.89     inference(scs_inference,[],[154,132,130,4057,4071,128,4066,4070,4075,4079,3922,4040,4033,3967,3777,4042,1450,2917,3445,3378,2789,848,2238,1629,645,1738,20,33,34,27,32,37,35,30,28,36,29,26,2])).
% 111.97/111.89  cnf(4092,plain,
% 111.97/111.89     (E(f5(x40921,a3),x40921)),
% 111.97/111.89     inference(rename_variables,[],[127])).
% 111.97/111.89  cnf(4094,plain,
% 111.97/111.89     (E(f5(x40941,a3),x40941)),
% 111.97/111.89     inference(rename_variables,[],[127])).
% 111.97/111.89  cnf(4096,plain,
% 111.97/111.89     (E(f5(x40961,a3),x40961)),
% 111.97/111.89     inference(rename_variables,[],[127])).
% 111.97/111.89  cnf(4097,plain,
% 111.97/111.89     (E(f5(f2(a1,a1),f2(a3,a3)),a1)),
% 111.97/111.89     inference(scs_inference,[],[127,4092,4094,4096,154,132,130,4057,4071,128,4066,4070,4075,4079,2590,3922,4040,4033,3967,3992,1433,3777,4042,1450,2917,3445,3145,3378,2789,848,2238,1629,645,1738,20,33,34,27,32,37,35,30,28,36,29,26,2,9,14,10,3])).
% 111.97/111.89  cnf(4098,plain,
% 111.97/111.89     (E(f5(x40981,a3),x40981)),
% 111.97/111.89     inference(rename_variables,[],[127])).
% 111.97/111.89  cnf(4099,plain,
% 111.97/111.89     (~P2(f5(a3,a3),f2(f4(a3),f4(a1)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[127,4092,4094,4096,4098,154,132,130,4057,4071,128,4066,4070,4075,4079,2590,3922,4040,4033,3967,3992,3787,1433,3777,4042,1450,2917,3445,3145,3378,2789,848,2238,1629,645,1738,20,33,34,27,32,37,35,30,28,36,29,26,2,9,14,10,3,12])).
% 111.97/111.89  cnf(4100,plain,
% 111.97/111.89     (E(f5(x41001,a3),x41001)),
% 111.97/111.89     inference(rename_variables,[],[127])).
% 111.97/111.89  cnf(4101,plain,
% 111.97/111.89     (~P2(f2(f5(a3,a3),a1),f5(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[127,4092,4094,4096,4098,4100,154,132,130,4057,4071,128,4066,4070,4075,4079,2590,3922,4040,4033,3967,3992,3912,3787,1433,3777,4042,1450,2917,3445,3145,3378,2789,848,2238,1629,645,1738,20,33,34,27,32,37,35,30,28,36,29,26,2,9,14,10,3,12,13])).
% 111.97/111.89  cnf(4103,plain,
% 111.97/111.89     (~E(f5(a3,a3),f2(f2(a6,a7),a1))),
% 111.97/111.89     inference(scs_inference,[],[127,4092,4094,4096,4098,4100,154,132,130,4057,4071,128,4066,4070,4075,4079,2590,3922,4040,4033,3967,4055,3992,3912,3787,1433,3777,4042,1450,2917,3445,3145,3378,2789,848,2238,1629,645,1738,20,33,34,27,32,37,35,30,28,36,29,26,2,9,14,10,3,12,13,11])).
% 111.97/111.89  cnf(4109,plain,
% 111.97/111.89     (~P1(f2(a1,a1),f5(f2(a3,a3),f2(a3,a1)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[128,4088,3986,2326,34])).
% 111.97/111.89  cnf(4110,plain,
% 111.97/111.89     (P2(x41101,x41102,f5(x41102,x41101))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(4115,plain,
% 111.97/111.89     (P2(x41151,x41152,f5(x41152,x41151))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(4118,plain,
% 111.97/111.89     (P1(f4(x41181),x41181,f5(a3,a3))),
% 111.97/111.89     inference(rename_variables,[],[130])).
% 111.97/111.89  cnf(4119,plain,
% 111.97/111.89     (P2(x41191,x41192,f5(x41192,x41191))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(4121,plain,
% 111.97/111.89     (~P2(f2(a3,a3),f2(f2(a3,a3),f2(a3,a3)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[154,130,128,4110,4115,4062,4088,4038,3986,3746,2326,1025,299,34,32,37,27])).
% 111.97/111.89  cnf(4123,plain,
% 111.97/111.89     (~P1(f5(a3,a3),a1,f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[154,130,128,4110,4115,4062,4088,3955,4038,3986,3247,3746,2326,1025,299,15,34,32,37,27,35])).
% 111.97/111.89  cnf(4125,plain,
% 111.97/111.89     (P1(x41251,a1,x41251)),
% 111.97/111.89     inference(rename_variables,[],[15])).
% 111.97/111.89  cnf(4127,plain,
% 111.97/111.89     (~P1(f5(a3,a3),f2(a1,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[154,130,128,4110,4115,4062,4088,3955,4038,3977,3986,3247,1722,3746,2326,1025,299,15,34,32,37,27,35,28])).
% 111.97/111.89  cnf(4129,plain,
% 111.97/111.89     (P1(f2(a3,a1),f2(f5(a1,a1),a1),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[154,130,128,4110,4115,4062,4088,3955,4077,4038,3977,3986,3247,1722,3746,2326,3504,1025,299,15,34,32,37,27,35,28,30])).
% 111.97/111.89  cnf(4131,plain,
% 111.97/111.89     (~P2(a3,a3,f5(f2(a6,a7),f2(a3,a1)))),
% 111.97/111.89     inference(scs_inference,[],[154,130,4118,128,4110,4115,4062,4088,3955,4077,4038,3977,3892,3986,3247,1722,3746,2326,3504,1025,299,493,495,15,34,32,37,27,35,28,30,36])).
% 111.97/111.89  cnf(4136,plain,
% 111.97/111.89     (~P2(f2(a3,a3),f5(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[154,130,4118,128,4110,4115,4119,4062,4088,3955,4077,4038,3977,3892,3986,3247,1722,3746,2326,3504,1025,299,493,495,15,34,32,37,27,35,28,30,36,29])).
% 111.97/111.89  cnf(4137,plain,
% 111.97/111.89     (P2(x41371,x41372,f5(x41372,x41371))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(4139,plain,
% 111.97/111.89     (P1(a1,f5(a1,f2(x41391,x41391)),a1)),
% 111.97/111.89     inference(scs_inference,[],[154,136,130,4118,128,4110,4115,4119,4137,4062,4088,3955,4077,4038,3977,3892,3986,3247,1722,3746,2326,3504,1025,299,493,495,15,4125,34,32,37,27,35,28,30,36,29,31])).
% 111.97/111.89  cnf(4143,plain,
% 111.97/111.89     (~P1(f5(x41431,x41431),f4(x41431),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[154,136,130,4118,128,4110,4115,4119,4137,4062,4088,3955,4077,4038,4083,3977,3892,3986,3247,1722,3746,2326,3504,1025,299,493,495,15,4125,34,32,37,27,35,28,30,36,29,31,26])).
% 111.97/111.89  cnf(4145,plain,
% 111.97/111.89     (P2(f2(x41451,x41451),f4(x41451),f2(f5(a1,a3),a1))),
% 111.97/111.89     inference(scs_inference,[],[154,136,134,130,4118,128,4110,4115,4119,4137,4062,4088,3955,4077,4038,4083,3977,3892,3986,3247,1722,3746,2326,3504,1025,299,493,495,15,4125,34,32,37,27,35,28,30,36,29,31,26,14])).
% 111.97/111.89  cnf(4147,plain,
% 111.97/111.89     (E(f2(x41471,a1),f5(f2(x41471,a3),x41471))),
% 111.97/111.89     inference(scs_inference,[],[154,136,134,130,4118,128,4110,4115,4119,4137,4062,4088,3955,4077,4038,4083,3977,3892,4024,3986,3247,1722,3746,2326,3504,1025,299,493,495,15,4125,34,32,37,27,35,28,30,36,29,31,26,14,2])).
% 111.97/111.89  cnf(4149,plain,
% 111.97/111.89     (E(f5(x41491,a3),x41491)),
% 111.97/111.89     inference(rename_variables,[],[127])).
% 111.97/111.89  cnf(4150,plain,
% 111.97/111.89     (~P1(f5(a6,a3),f5(f5(a3,a3),a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[127,4149,154,136,134,130,4118,128,4110,4115,4119,4137,4062,4088,3955,4077,4028,4038,4083,3977,3892,4024,3986,3247,1722,3746,2326,3504,1025,299,493,495,15,4125,34,32,37,27,35,28,30,36,29,31,26,14,2,9,10])).
% 111.97/111.89  cnf(4151,plain,
% 111.97/111.89     (E(f5(x41511,a3),x41511)),
% 111.97/111.89     inference(rename_variables,[],[127])).
% 111.97/111.89  cnf(4152,plain,
% 111.97/111.89     (~E(f2(a6,a7),f2(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[127,4149,154,136,134,130,4118,128,4110,4115,4119,4137,3817,4062,4088,3955,4077,4028,4038,4083,3977,3892,4024,3986,3247,1722,1737,3746,2326,3504,1025,299,493,495,15,4125,34,32,37,27,35,28,30,36,29,31,26,14,2,9,10,3])).
% 111.97/111.89  cnf(4153,plain,
% 111.97/111.89     (P2(a3,x41531,f5(f2(a3,a1),x41531))),
% 111.97/111.89     inference(scs_inference,[],[127,4149,4151,154,136,134,130,4118,128,4110,4115,4119,4137,3327,3817,4062,4088,3955,4077,4028,4038,4083,3977,3892,4024,3986,3247,1722,1737,3746,2326,3504,1025,299,493,495,15,4125,34,32,37,27,35,28,30,36,29,31,26,14,2,9,10,3,12])).
% 111.97/111.89  cnf(4154,plain,
% 111.97/111.89     (E(f5(x41541,a3),x41541)),
% 111.97/111.89     inference(rename_variables,[],[127])).
% 111.97/111.89  cnf(4155,plain,
% 111.97/111.89     (P2(f2(a3,a3),f5(f4(x41551),x41551),a1)),
% 111.97/111.89     inference(scs_inference,[],[127,4149,4151,154,136,134,130,4118,128,4110,4115,4119,4137,3327,3817,4062,4088,3955,4077,4028,4038,4083,3977,3892,4024,3369,3986,3247,1722,1737,3746,2326,3504,1025,299,493,495,15,4125,34,32,37,27,35,28,30,36,29,31,26,14,2,9,10,3,12,13])).
% 111.97/111.89  cnf(4157,plain,
% 111.97/111.89     (~P1(f5(a6,a3),f5(a3,a3),f5(f2(a6,a7),a3))),
% 111.97/111.89     inference(scs_inference,[],[127,4149,4151,4154,154,136,134,130,4118,128,4110,4115,4119,4137,3327,3817,4062,4088,3955,4077,4028,4038,4083,3977,3892,4024,3369,3986,3247,1722,1737,3746,2326,3504,1025,299,493,495,15,4125,34,32,37,27,35,28,30,36,29,31,26,14,2,9,10,3,12,13,11])).
% 111.97/111.89  cnf(4161,plain,
% 111.97/111.89     (P2(x41611,x41612,f5(x41612,x41611))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(4162,plain,
% 111.97/111.89     (P1(f4(x41621),x41621,f5(a3,a3))),
% 111.97/111.89     inference(rename_variables,[],[130])).
% 111.97/111.89  cnf(4164,plain,
% 111.97/111.89     (P2(f2(a1,a3),f2(a3,a1),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[128,154,130,4059,635,34,27])).
% 111.97/111.89  cnf(4167,plain,
% 111.97/111.89     (P1(x41671,f5(f4(x41671),a3),a3)),
% 111.97/111.89     inference(rename_variables,[],[132])).
% 111.97/111.89  cnf(4168,plain,
% 111.97/111.89     (P2(x41681,x41682,f5(x41682,x41681))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(4172,plain,
% 111.97/111.89     (P2(x41721,x41722,f5(x41722,x41721))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(4178,plain,
% 111.97/111.89     (P1(f4(x41781),x41781,f5(a3,a3))),
% 111.97/111.89     inference(rename_variables,[],[130])).
% 111.97/111.89  cnf(4180,plain,
% 111.97/111.89     (E(a3,f5(f4(a1),a3))),
% 111.97/111.89     inference(scs_inference,[],[128,4161,4168,158,154,132,4167,130,4162,4059,4101,3252,769,928,299,635,18,15,17,34,27,32,37,35,28])).
% 111.97/111.89  cnf(4182,plain,
% 111.97/111.89     (P1(x41821,f5(f4(x41821),a3),a3)),
% 111.97/111.89     inference(rename_variables,[],[132])).
% 111.97/111.89  cnf(4184,plain,
% 111.97/111.89     (P1(f5(a3,a3),f5(f4(a3),a3),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[128,4161,4168,4172,158,154,132,4167,4182,130,4162,4059,4101,3252,769,928,299,635,18,15,17,34,27,32,37,35,28,30])).
% 111.97/111.89  cnf(4185,plain,
% 111.97/111.89     (P2(x41851,x41852,f5(x41852,x41851))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(4187,plain,
% 111.97/111.89     (P1(x41871,f5(f4(x41871),a3),a3)),
% 111.97/111.89     inference(rename_variables,[],[132])).
% 111.97/111.89  cnf(4189,plain,
% 111.97/111.89     (E(f5(x41891,a3),f5(f2(a3,a1),x41891))),
% 111.97/111.89     inference(scs_inference,[],[128,4161,4168,4172,4185,158,154,132,4167,4182,130,4162,4059,4101,3252,4153,769,928,299,635,18,15,17,34,27,32,37,35,28,30,29])).
% 111.97/111.89  cnf(4191,plain,
% 111.97/111.89     (P2(x41911,x41912,f5(x41912,x41911))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(4193,plain,
% 111.97/111.89     (P1(f2(f5(a1,a1),a1),f2(a3,a1),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[128,4161,4168,4172,4185,158,154,132,4167,4182,130,4162,4059,4129,4101,3252,4153,769,928,299,635,18,15,17,34,27,32,37,35,28,30,29,26])).
% 111.97/111.89  cnf(4195,plain,
% 111.97/111.89     (P1(f2(x41951,a1),f5(f4(x41951),a3),a3)),
% 111.97/111.89     inference(scs_inference,[],[128,4161,4168,4172,4185,158,154,132,4167,4182,4187,130,4162,4059,4129,4101,3252,4153,769,928,299,635,18,15,46,17,34,27,32,37,35,28,30,29,26,9])).
% 111.97/111.89  cnf(4197,plain,
% 111.97/111.89     (~E(f5(f5(a3,a3),f5(a3,a3)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[128,4161,4168,4172,4185,4191,158,154,132,4167,4182,4187,130,4162,4059,4129,4101,3252,4153,769,928,299,635,18,15,46,17,34,27,32,37,35,28,30,29,26,9,14])).
% 111.97/111.89  cnf(4198,plain,
% 111.97/111.89     (P2(x41981,x41982,f5(x41982,x41981))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(4199,plain,
% 111.97/111.89     (~E(f2(a6,a7),f2(f5(a1,a1),f2(a3,a3)))),
% 111.97/111.89     inference(scs_inference,[],[128,4161,4168,4172,4185,4191,158,154,132,4167,4182,4187,130,4162,4059,4129,4101,3877,3252,4153,769,928,299,635,18,15,46,17,34,27,32,37,35,28,30,29,26,9,14,2])).
% 111.97/111.89  cnf(4200,plain,
% 111.97/111.89     (P1(f4(f5(a3,a3)),f4(a1),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[128,4161,4168,4172,4185,4191,158,154,132,4167,4182,4187,130,4162,4178,4059,4129,4101,3877,3252,4016,4153,769,928,299,635,18,15,46,17,34,27,32,37,35,28,30,29,26,9,14,2,10])).
% 111.97/111.89  cnf(4201,plain,
% 111.97/111.89     (P1(f4(x42011),x42011,f5(a3,a3))),
% 111.97/111.89     inference(rename_variables,[],[130])).
% 111.97/111.89  cnf(4205,plain,
% 111.97/111.89     (~E(f2(a1,f2(a6,a7)),a3)),
% 111.97/111.89     inference(scs_inference,[],[128,4161,4168,4172,4185,4191,158,154,132,4167,4182,4187,134,130,4162,4178,4059,4129,4101,3877,3252,572,4016,4153,1402,3972,769,3208,928,3480,299,635,18,15,46,17,34,27,32,37,35,28,30,29,26,9,14,2,10,3,12,13])).
% 111.97/111.89  cnf(4207,plain,
% 111.97/111.89     (P1(f4(x42071),x42071,f5(f2(a3,a3),a3))),
% 111.97/111.89     inference(scs_inference,[],[128,4161,4168,4172,4185,4191,158,154,132,4167,4182,4187,134,130,4162,4178,4201,4059,4129,4101,3877,3252,4030,572,4016,4153,1402,3972,769,3208,928,3480,299,635,18,15,46,17,34,27,32,37,35,28,30,29,26,9,14,2,10,3,12,13,11])).
% 111.97/111.89  cnf(4209,plain,
% 111.97/111.89     (~E(f5(a6,a3),a7)),
% 111.97/111.89     inference(scs_inference,[],[128,4161,4168,4172,4185,4191,158,154,132,4167,4182,4187,134,130,4162,4178,4201,4059,4129,4101,3877,3252,4030,572,4016,4153,1402,3972,769,3208,928,3480,299,635,18,15,46,17,34,27,32,37,35,28,30,29,26,9,14,2,10,3,12,13,11,5])).
% 111.97/111.89  cnf(4212,plain,
% 111.97/111.89     (P1(f5(a1,a3),f5(a1,a3),f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[128,4161,4168,4172,4185,4191,4198,158,154,132,4167,4182,4187,134,130,4162,4178,4201,4059,4129,4101,3877,3252,4030,572,4016,4153,1402,3972,769,3208,928,933,288,3480,299,115,635,18,15,46,17,34,27,32,37,35,28,30,29,26,9,14,2,10,3,12,13,11,5,36,31])).
% 111.97/111.89  cnf(4217,plain,
% 111.97/111.89     (~P1(f5(a3,a3),f5(f5(a3,a3),a1),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[128,154,3955,3247,34])).
% 111.97/111.89  cnf(4219,plain,
% 111.97/111.89     (P2(x42191,x42192,f5(x42192,x42191))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(4221,plain,
% 111.97/111.89     (~P1(f5(a1,a3),f5(a1,a3),f4(a7))),
% 111.97/111.89     inference(scs_inference,[],[128,154,3955,2629,3247,2519,495,34,37])).
% 111.97/111.89  cnf(4229,plain,
% 111.97/111.89     (P2(x42291,x42292,f5(x42292,x42291))),
% 111.97/111.89     inference(rename_variables,[],[128])).
% 111.97/111.89  cnf(4232,plain,
% 111.97/111.89     (P2(f5(a3,f2(a3,a3)),f5(a3,a3),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[128,4219,154,136,130,3765,3948,3869,3955,1660,2629,3247,2519,495,18,34,37,27,32,35])).
% 111.97/111.89  cnf(4235,plain,
% 111.97/111.89     (P1(f4(x42351),x42351,f5(a3,a3))),
% 111.97/111.89     inference(rename_variables,[],[130])).
% 111.97/111.89  cnf(4243,plain,
% 111.97/111.89     (~P2(f5(a3,a3),a3,f2(f2(a6,a7),a1))),
% 111.97/111.89     inference(scs_inference,[],[128,4219,4229,154,136,130,4235,3765,4197,3159,3948,3599,3869,4034,3955,3967,1660,2629,3247,2519,2326,495,16,18,34,37,27,32,35,28,36,30])).
% 111.97/111.89  cnf(4251,plain,
% 111.97/111.89     (~P2(f2(a1,a3),f5(f2(a1,a3),a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[128,4219,4229,158,154,136,130,4235,4164,3765,4197,3159,3948,3599,3869,4034,3955,1979,3967,549,1660,2629,3247,2519,2326,1175,495,16,18,34,37,27,32,35,28,36,30,29,31])).
% 111.97/111.89  cnf(4253,plain,
% 111.97/111.89     (~P1(f5(a3,a3),f5(a6,a3),f5(f2(a6,a7),a3))),
% 111.97/111.89     inference(scs_inference,[],[128,4219,4229,158,154,136,130,4235,4157,4164,3765,4197,3159,3948,3599,3869,4034,3955,1979,3967,549,1660,2629,3247,2519,2326,1175,495,16,18,34,37,27,32,35,28,36,30,29,31,26])).
% 111.97/111.89  cnf(4255,plain,
% 111.97/111.89     (P1(f2(f5(a1,a3),a1),f2(a1,a1),a1)),
% 111.97/111.89     inference(scs_inference,[],[128,4219,4229,158,154,134,136,130,4235,4157,4164,3765,4197,3159,3948,3599,3869,4034,3955,1979,3967,549,1660,2629,2807,3247,2519,2326,1175,495,16,18,34,37,27,32,35,28,36,30,29,31,26,9])).
% 111.97/111.89  cnf(4259,plain,
% 111.97/111.89     (E(f5(f2(a3,a1),x42591),f5(x42591,a3))),
% 111.97/111.89     inference(scs_inference,[],[128,4219,4229,158,154,134,136,130,4235,4157,4164,3765,4197,4189,3159,3948,3599,3869,4034,3955,1979,3967,549,1660,3037,2629,2807,3247,2519,2326,1175,495,16,18,34,37,27,32,35,28,36,30,29,31,26,9,14,2])).
% 111.97/111.89  cnf(4260,plain,
% 111.97/111.89     (~E(f2(f5(a3,a3),f4(a1)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[128,4219,4229,158,154,134,136,130,4235,4157,4164,3765,4197,4189,3159,3948,3599,3869,4034,504,3955,1979,3967,549,1660,3037,2629,1183,2807,3247,2519,2326,1175,495,16,18,34,37,27,32,35,28,36,30,29,31,26,9,14,2,10])).
% 111.97/111.89  cnf(4262,plain,
% 111.97/111.89     (~E(f2(a3,f5(a3,a3)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[128,4219,4229,158,154,134,136,130,4235,4157,4164,3915,3765,4197,2895,4189,3159,3948,3599,3869,4034,504,3955,1979,3967,549,2279,1660,3037,2629,1183,2807,3247,2519,2326,1175,495,16,18,34,37,27,32,35,28,36,30,29,31,26,9,14,2,10,12,11])).
% 111.97/111.89  cnf(4264,plain,
% 111.97/111.89     (~P2(f5(a3,a3),f2(f2(a3,a1),f2(a3,a1)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[128,4219,4229,158,154,134,136,130,4235,4157,4164,3915,3765,4197,2895,4189,3159,3948,3599,3869,4034,504,3955,1979,3967,549,2279,1660,3037,2629,1183,2807,3247,2519,2326,1175,495,16,18,34,37,27,32,35,28,36,30,29,31,26,9,14,2,10,12,11,13])).
% 111.97/111.89  cnf(4265,plain,
% 111.97/111.89     (E(f2(a3,a1),f5(f2(a3,a1),f2(a3,a3)))),
% 111.97/111.89     inference(scs_inference,[],[128,4219,4229,158,154,134,136,130,4235,4157,4164,3915,3765,4197,2895,4189,4147,3159,3948,3599,3869,4034,504,3955,1979,3967,549,2279,1660,3037,2629,1183,2807,3247,2519,2326,1175,495,16,18,34,37,27,32,35,28,36,30,29,31,26,9,14,2,10,12,11,13,3])).
% 111.97/111.89  cnf(4269,plain,
% 111.97/111.89     (P1(f4(x42691),x42691,f5(a3,a3))),
% 111.97/111.89     inference(rename_variables,[],[130])).
% 111.97/111.89  cnf(4273,plain,
% 111.97/111.89     (~P1(f2(a6,a3),f5(a1,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[130,4243,891,1271,1275,1935,1454,230,34,37])).
% 111.97/111.89  cnf(4280,plain,
% 111.97/111.89     (P2(f4(x42801),f2(x42801,x42801),f2(f5(a1,a3),a1))),
% 111.97/111.89     inference(scs_inference,[],[130,4145,4212,4243,2196,891,2363,1271,1275,1935,1454,230,34,37,35,27])).
% 111.97/111.89  cnf(4284,plain,
% 111.97/111.89     (~P2(f5(a3,a3),f2(a1,a1),f4(a7))),
% 111.97/111.89     inference(scs_inference,[],[130,4269,4145,4212,4090,4221,2308,4243,2196,891,2363,1271,824,1275,1935,1454,230,34,37,35,27,28,30])).
% 111.97/111.89  cnf(4285,plain,
% 111.97/111.89     (P1(f4(x42851),x42851,f5(a3,a3))),
% 111.97/111.89     inference(rename_variables,[],[130])).
% 111.97/111.89  cnf(4288,plain,
% 111.97/111.89     (~P2(f2(a3,a3),f5(a3,a3),f5(f2(a6,a7),a3))),
% 111.97/111.89     inference(scs_inference,[],[130,4269,4285,4145,4212,4090,4221,1235,2308,4243,2196,891,383,2363,1271,824,1275,1935,1454,230,20,34,37,35,27,28,30,31])).
% 111.97/111.89  cnf(4293,plain,
% 111.97/111.89     (~P2(f2(f5(a3,a3),a1),f4(a1),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[130,4269,4285,4145,4212,4090,4221,1390,1235,2308,4243,2196,891,3487,383,2363,1271,824,1275,1935,1454,230,20,34,37,35,27,28,30,31,29])).
% 111.97/111.89  cnf(4296,plain,
% 111.97/111.89     (P1(f5(f4(a3),a3),f5(a3,a3),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[130,4269,4285,4145,4184,4212,4090,4221,1390,1235,2308,4243,2196,891,3487,383,2363,1271,824,1275,1935,1454,230,20,34,37,35,27,28,30,31,29,26])).
% 111.97/111.89  cnf(4299,plain,
% 111.97/111.89     (E(f4(f2(a1,x42991)),f4(x42991))),
% 111.97/111.89     inference(rename_variables,[],[2509])).
% 111.97/111.89  cnf(4300,plain,
% 111.97/111.89     (P2(f5(x43001,a3),f4(x43001),f2(f5(a1,a3),a1))),
% 111.97/111.89     inference(scs_inference,[],[130,4269,4285,165,158,134,4145,4184,4212,4090,4221,1390,1235,2308,4243,2196,891,2509,3487,383,2363,1271,824,1275,1935,1454,230,20,34,37,35,27,28,30,31,29,26,9,14])).
% 111.97/111.89  cnf(4301,plain,
% 111.97/111.89     (E(x43011,f2(f5(x43011,a3),a1))),
% 111.97/111.89     inference(rename_variables,[],[134])).
% 111.97/111.89  cnf(4302,plain,
% 111.97/111.89     (~E(f2(a6,a7),f2(a3,f5(a3,a3)))),
% 111.97/111.89     inference(scs_inference,[],[130,4269,4285,165,158,134,4145,4184,4212,4090,4262,4221,1390,1235,2308,4243,2196,891,2509,3487,383,2363,1271,824,1275,1935,1454,230,20,34,37,35,27,28,30,31,29,26,9,14,2])).
% 111.97/111.89  cnf(4305,plain,
% 111.97/111.89     (~E(f4(f4(a3)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[130,4269,4285,165,158,134,4145,4184,4212,4090,4262,4221,1390,1235,2308,4243,2196,891,1832,2509,4299,3487,697,383,2363,1271,824,1275,1935,1454,230,20,34,37,35,27,28,30,31,29,26,9,14,2,10,3])).
% 111.97/111.89  cnf(4306,plain,
% 111.97/111.89     (P2(f2(f5(a3,a3),a1),f2(a3,a1),a3)),
% 111.97/111.89     inference(scs_inference,[],[130,4269,4285,165,158,134,4301,4145,4184,4212,4090,4262,4221,1390,1235,2308,4243,2196,891,1832,2509,4299,3487,697,383,2363,1271,2856,824,1275,1935,1454,230,20,34,37,35,27,28,30,31,29,26,9,14,2,10,3,12])).
% 111.97/111.89  cnf(4310,plain,
% 111.97/111.89     (P2(f5(a3,a3),f4(f2(a3,a3)),a1)),
% 111.97/111.89     inference(scs_inference,[],[130,4269,4285,165,158,134,4301,4145,4184,4212,4253,4090,4262,2301,4259,4221,1390,1235,2308,4243,2196,891,1832,2509,4299,3487,697,383,2363,1271,2856,824,1275,1935,1454,230,20,34,37,35,27,28,30,31,29,26,9,14,2,10,3,12,11,13])).
% 111.97/111.89  cnf(4322,plain,
% 111.97/111.89     (P2(f2(a1,a1),f2(a3,a1),f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[3840,4212,34])).
% 111.97/111.89  cnf(4324,plain,
% 111.97/111.89     (P1(f2(f2(a1,a1),a1),f2(a1,a1),f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[784,3840,4212,2960,2853,34,32])).
% 111.97/111.89  cnf(4326,plain,
% 111.97/111.89     (~P2(f5(a3,a3),f2(a3,a3),f5(f2(a6,a7),a3))),
% 111.97/111.89     inference(scs_inference,[],[4288,784,3840,4212,2960,2853,34,32,27])).
% 111.97/111.89  cnf(4328,plain,
% 111.97/111.89     (P2(f2(a3,a1),f5(a3,a3),a3)),
% 111.97/111.89     inference(scs_inference,[],[130,4288,2289,3489,784,3840,4212,2960,2853,20,34,32,27,37])).
% 111.97/111.89  cnf(4330,plain,
% 111.97/111.89     (P1(f4(x43301),x43301,f5(a3,a3))),
% 111.97/111.89     inference(rename_variables,[],[130])).
% 111.97/111.89  cnf(4334,plain,
% 111.97/111.89     (P1(f4(x43341),x43341,f5(a3,a3))),
% 111.97/111.89     inference(rename_variables,[],[130])).
% 111.97/111.89  cnf(4335,plain,
% 111.97/111.89     (P2(f5(x43351,a3),f4(x43351),a1)),
% 111.97/111.89     inference(rename_variables,[],[158])).
% 111.97/111.89  cnf(4338,plain,
% 111.97/111.89     (E(f5(a3,a3),f2(f4(x43381),x43381))),
% 111.97/111.89     inference(scs_inference,[],[130,4330,4334,158,154,4288,2289,3489,784,3840,4212,2960,2853,20,23,17,34,32,27,37,35,28])).
% 111.97/111.89  cnf(4341,plain,
% 111.97/111.89     (P1(f5(f4(a3),f2(a3,a3)),a1,f5(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[130,4330,4334,158,154,4288,2897,2185,2289,3835,3489,784,3840,4212,2960,2853,20,15,23,17,34,32,27,37,35,28,30])).
% 111.97/111.89  cnf(4344,plain,
% 111.97/111.89     (E(a1,f5(f2(a3,a1),f4(a3)))),
% 111.97/111.89     inference(scs_inference,[],[130,4330,4334,158,4335,154,4288,2897,2185,2289,3835,3327,3489,784,3840,4212,2960,2853,20,15,23,17,34,32,27,37,35,28,30,29])).
% 111.97/111.89  cnf(4350,plain,
% 111.97/111.89     (~E(f5(f2(a3,a1),f5(a3,a3)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[130,4330,4334,158,4335,154,4288,4127,2897,2185,2289,3835,3307,3327,3489,784,3840,4212,2960,2853,20,15,23,17,34,32,27,37,35,28,30,29,26,14])).
% 111.97/111.89  cnf(4352,plain,
% 111.97/111.89     (E(f5(f2(a3,a1),f2(a3,a3)),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[130,4330,4334,158,4335,154,4265,4288,4127,2897,2185,2289,3835,3307,3327,3489,784,3840,4212,2960,2853,20,15,23,17,34,32,27,37,35,28,30,29,26,14,2])).
% 111.97/111.89  cnf(4353,plain,
% 111.97/111.89     (P1(f4(a3),f4(a1),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[130,4330,4334,158,4335,154,4265,4288,4127,2897,2185,2289,3835,3307,3327,3489,379,784,3840,4212,2960,2853,20,15,23,17,34,32,27,37,35,28,30,29,26,14,2,9])).
% 111.97/111.89  cnf(4354,plain,
% 111.97/111.89     (P1(f4(x43541),x43541,f5(a3,a3))),
% 111.97/111.89     inference(rename_variables,[],[130])).
% 111.97/111.89  cnf(4355,plain,
% 111.97/111.89     (~E(f5(a3,a3),f2(a7,a6))),
% 111.97/111.89     inference(scs_inference,[],[130,4330,4334,158,4335,154,4265,4288,4103,4127,2897,2185,2289,3835,3307,3327,3489,379,2875,784,3840,4212,2960,2853,20,15,23,17,34,32,27,37,35,28,30,29,26,14,2,9,3])).
% 111.97/111.89  cnf(4357,plain,
% 111.97/111.89     (P1(f4(a3),f5(f4(a1),a3),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[130,4330,4334,4354,158,4335,154,4265,4288,4103,4127,2897,2185,4180,2289,3835,3307,3327,3489,379,2875,784,3840,4212,2960,2853,20,15,23,17,34,32,27,37,35,28,30,29,26,14,2,9,3,10])).
% 111.97/111.89  cnf(4359,plain,
% 111.97/111.89     (~P2(f2(a1,a3),f4(a1),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[130,4330,4334,4354,158,4335,154,4265,4288,4103,4127,4293,3924,2897,2185,4180,2289,3835,3307,3327,3489,379,2875,784,3840,4212,2960,2853,20,15,23,17,34,32,27,37,35,28,30,29,26,14,2,9,3,10,12])).
% 111.97/111.89  cnf(4361,plain,
% 111.97/111.89     (P1(f2(a1,a1),f5(a1,a3),a1)),
% 111.97/111.89     inference(scs_inference,[],[130,4330,4334,4354,158,4335,154,4265,4288,4103,4127,4293,3924,2897,2185,4097,4180,2289,3835,2375,3307,3327,3489,379,2875,784,3840,4212,2960,2853,20,15,23,17,34,32,27,37,35,28,30,29,26,14,2,9,3,10,12,11])).
% 111.97/111.89  cnf(4362,plain,
% 111.97/111.89     (P2(f2(a3,a3),f2(f5(x43621,a3),a1),f2(x43621,x43621))),
% 111.97/111.89     inference(scs_inference,[],[130,4330,4334,4354,158,4335,154,134,4265,4288,4103,4127,4293,3924,2897,2185,4097,4180,2289,3835,2375,3307,3327,3489,379,2875,784,3840,4212,2960,508,2853,20,15,23,17,34,32,27,37,35,28,30,29,26,14,2,9,3,10,12,11,13])).
% 111.97/111.89  cnf(4378,plain,
% 111.97/111.89     (P1(f5(f2(a3,a3),f5(a1,a3)),f2(a3,a1),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[4000,2118,2165,33])).
% 111.97/111.89  cnf(4382,plain,
% 111.97/111.89     (P2(a3,f2(a3,a1),f2(f5(a3,a3),f2(a3,a3)))),
% 111.97/111.89     inference(scs_inference,[],[4322,4000,2839,3767,4306,2118,2165,33,34])).
% 111.97/111.89  cnf(4384,plain,
% 111.97/111.89     (~P2(f5(f2(a3,a3),a3),a3,f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[4207,4322,4000,2839,3767,4306,2484,3302,2118,2165,22,33,34,32])).
% 111.97/111.89  cnf(4387,plain,
% 111.97/111.89     (P1(f4(x43871),x43871,f5(f2(a3,a3),a3))),
% 111.97/111.89     inference(rename_variables,[],[4207])).
% 111.97/111.89  cnf(4390,plain,
% 111.97/111.89     (P2(f5(a3,a3),f5(a3,f2(a3,a3)),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[4207,4232,4322,4000,2839,3767,4306,2484,3302,2118,2165,22,33,34,32,27])).
% 111.97/111.89  cnf(4392,plain,
% 111.97/111.89     (P2(f5(a3,a3),f5(f2(a3,a3),a3),a3)),
% 111.97/111.89     inference(scs_inference,[],[4207,4387,4232,4322,3621,4000,2839,3767,4306,4310,3367,2484,3302,2118,2165,22,33,34,32,27,37])).
% 111.97/111.89  cnf(4393,plain,
% 111.97/111.89     (P1(f4(x43931),x43931,f5(f2(a3,a3),a3))),
% 111.97/111.89     inference(rename_variables,[],[4207])).
% 111.97/111.89  cnf(4396,plain,
% 111.97/111.89     (~P1(f5(f4(a3),a3),f5(a3,a3),f2(a7,a6))),
% 111.97/111.89     inference(scs_inference,[],[4207,4387,4232,4296,4322,4355,3621,4000,2839,3767,4306,4310,3367,2484,3302,2118,2165,22,33,34,32,27,37,28])).
% 111.97/111.89  cnf(4398,plain,
% 111.97/111.89     (P1(f2(x43981,a3),f5(f4(a3),a3),f2(x43981,a3))),
% 111.97/111.89     inference(scs_inference,[],[132,4207,4387,4232,4296,4322,4355,3621,4000,2839,3767,4306,4310,3367,2484,3302,2118,2165,3648,22,33,34,32,27,37,28,30])).
% 111.97/111.89  cnf(4401,plain,
% 111.97/111.89     (P2(f5(a3,a3),a3,f5(f2(a3,a3),a3))),
% 111.97/111.89     inference(scs_inference,[],[132,4207,4387,4393,4232,4296,4322,4355,3621,4000,2839,3767,4306,4310,3367,3597,2484,3302,2118,2165,758,3648,22,33,34,32,27,37,28,30,36])).
% 111.97/111.89  cnf(4402,plain,
% 111.97/111.89     (P1(f4(x44021),x44021,f5(f2(a3,a3),a3))),
% 111.97/111.89     inference(rename_variables,[],[4207])).
% 111.97/111.89  cnf(4406,plain,
% 111.97/111.89     (P1(f5(a3,a1),f5(a3,a1),f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[132,4207,4387,4393,4232,4296,4322,4355,3621,4362,4000,2839,3767,4306,4310,3367,3597,2484,3302,1905,2118,3305,2165,758,3648,22,33,34,32,27,37,28,30,36,31])).
% 111.97/111.89  cnf(4409,plain,
% 111.97/111.89     (~P2(f5(x44091,a3),f4(x44091),f4(a7))),
% 111.97/111.89     inference(scs_inference,[],[132,158,4207,4387,4393,4232,4296,4322,4355,3621,4362,4000,2839,3767,4306,4310,3367,3597,2484,3302,1905,3607,2118,3305,2165,758,3648,22,33,34,32,27,37,28,30,36,31,29])).
% 111.97/111.89  cnf(4411,plain,
% 111.97/111.89     (P1(x44111,f4(x44111),f5(f2(a3,a3),a3))),
% 111.97/111.89     inference(scs_inference,[],[132,158,4207,4387,4393,4402,4232,4296,4322,4355,3621,4362,4000,2839,3767,4306,4310,3367,3597,2484,3302,1905,3607,2118,3305,2165,758,3648,22,33,34,32,27,37,28,30,36,31,29,26])).
% 111.97/111.89  cnf(4413,plain,
% 111.97/111.89     (~E(f2(a6,a7),f5(f2(a3,a1),f5(a3,a3)))),
% 111.97/111.89     inference(scs_inference,[],[132,158,4207,4387,4393,4402,4232,4296,4322,4350,4355,3621,4362,4000,2839,3767,4306,4310,3367,3597,2484,3302,1905,3607,2118,3305,2165,758,3648,22,33,34,32,27,37,28,30,36,31,29,26,2])).
% 111.97/111.89  cnf(4414,plain,
% 111.97/111.89     (~P2(f5(a3,a3),f2(a3,a3),f5(f2(a6,a7),f2(a3,a1)))),
% 111.97/111.89     inference(scs_inference,[],[132,158,4207,4387,4393,4402,4232,4296,4322,4326,4350,4355,3621,4362,4000,2839,3767,4306,4310,3367,3597,2484,3302,1905,1277,3607,2118,3305,2165,758,3648,22,33,34,32,27,37,28,30,36,31,29,26,2,14])).
% 111.97/111.89  cnf(4415,plain,
% 111.97/111.89     (E(f5(x44151,f2(x44152,a1)),f5(x44151,x44152))),
% 111.97/111.89     inference(rename_variables,[],[1277])).
% 111.97/111.89  cnf(4416,plain,
% 111.97/111.89     (P1(f2(f5(a1,a3),a1),f2(a1,a1),f5(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[132,158,134,4207,4387,4393,4402,4232,4296,4322,4326,4350,4355,3621,4362,4000,2839,3767,4306,4310,3367,3597,2484,3302,1905,1277,3607,2118,1996,3305,2165,758,3648,22,33,34,32,27,37,28,30,36,31,29,26,2,14,9])).
% 111.97/111.89  cnf(4418,plain,
% 111.97/111.89     (E(f5(a3,f2(a3,a1)),f4(a1))),
% 111.97/111.89     inference(scs_inference,[],[132,158,134,4207,4387,4393,4402,4232,4296,4322,4326,4350,4355,3621,4362,4000,2839,3767,4306,4310,3367,3597,2484,3302,1905,1277,4415,4016,3607,2118,1996,3305,2165,758,3648,22,33,34,32,27,37,28,30,36,31,29,26,2,14,9,3])).
% 111.97/111.89  cnf(4419,plain,
% 111.97/111.89     (E(f5(x44191,f2(x44192,a1)),f5(x44191,x44192))),
% 111.97/111.89     inference(rename_variables,[],[1277])).
% 111.97/111.89  cnf(4420,plain,
% 111.97/111.89     (~E(f5(f4(a6),a3),a7)),
% 111.97/111.89     inference(scs_inference,[],[132,158,134,4207,4387,4393,4402,4232,4296,4322,4326,4350,4355,3621,4362,4000,2839,3767,4306,4310,4195,3367,3597,2484,3302,1905,1277,4415,4016,3607,1522,2118,1996,3305,2165,758,3648,22,33,34,32,27,37,28,30,36,31,29,26,2,14,9,3,10])).
% 111.97/111.89  cnf(4422,plain,
% 111.97/111.89     (~P2(f5(a3,f2(a3,a1)),f5(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[132,158,154,134,4207,4387,4393,4402,4232,4296,4322,4326,4350,4355,3621,4362,4000,2839,3767,4306,4310,4195,3367,3597,2484,3302,1905,1277,4415,4419,4016,3607,1522,2118,1996,3305,2165,758,3648,22,33,34,32,27,37,28,30,36,31,29,26,2,14,9,3,10,12])).
% 111.97/111.89  cnf(4424,plain,
% 111.97/111.89     (~E(f2(f4(a3),f2(a3,a1)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[132,158,154,134,4207,4387,4393,4402,4232,4296,4322,4326,4350,4355,3621,4123,4362,4000,2839,3767,4306,2517,4310,4195,3367,3597,2484,3302,1905,1277,4415,4419,4016,3607,1522,2118,1996,3305,2165,758,3648,22,33,34,32,27,37,28,30,36,31,29,26,2,14,9,3,10,12,11])).
% 111.97/111.89  cnf(4425,plain,
% 111.97/111.89     (~P2(f5(a3,a3),f5(f2(a3,a3),f2(a1,a1)),f4(a7))),
% 111.97/111.89     inference(scs_inference,[],[132,158,154,134,4207,4387,4393,4402,4232,4296,4322,4326,4350,4355,3621,4123,4362,4000,4284,2839,3767,4306,2517,4310,4195,3367,3597,2484,3302,2333,1905,1277,4415,4419,4016,3607,1522,2118,1996,3305,2165,758,3648,22,33,34,32,27,37,28,30,36,31,29,26,2,14,9,3,10,12,11,13])).
% 111.97/111.89  cnf(4430,plain,
% 111.97/111.89     (P1(f2(f5(a1,a3),a1),f2(a1,a1),f5(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[4416,4088,4322,3445,33])).
% 111.97/111.89  cnf(4435,plain,
% 111.97/111.89     (~P2(f5(f2(a1,a3),a3),f2(a1,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[4416,4251,3917,3988,4088,4322,1483,3445,17,33,37,27])).
% 111.97/111.89  cnf(4437,plain,
% 111.97/111.89     (~P1(f2(a1,a3),f5(f4(a3),a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[4416,4251,4152,4398,3917,3988,4088,4322,1483,3445,17,33,37,27,28])).
% 111.97/111.89  cnf(4440,plain,
% 111.97/111.89     (P1(f2(x44401,a3),f2(a1,a1),a3)),
% 111.97/111.89     inference(scs_inference,[],[4416,4251,4152,4398,3917,3988,4088,4322,1483,2839,3767,3826,2346,3445,17,33,37,27,28,30])).
% 111.97/111.89  cnf(4447,plain,
% 111.97/111.89     (E(f4(a1),f5(a3,f2(a3,a1)))),
% 111.97/111.89     inference(scs_inference,[],[4416,4150,4251,4152,4302,4398,4418,3917,3988,4088,4322,1483,2839,3767,3826,2346,3445,435,17,33,37,27,28,30,29,26,2])).
% 111.97/111.89  cnf(4448,plain,
% 111.97/111.89     (P2(f5(x44481,a3),f4(x44481),f5(f2(a3,a1),f4(a3)))),
% 111.97/111.89     inference(scs_inference,[],[158,4416,4150,4251,4152,4302,4398,4418,3917,3988,4344,4088,4322,1483,2839,3767,3826,2346,3445,435,17,33,37,27,28,30,29,26,2,14])).
% 111.97/111.89  cnf(4450,plain,
% 111.97/111.89     (~E(f2(f5(a3,a3),a1),a7)),
% 111.97/111.89     inference(scs_inference,[],[165,158,4416,4150,4251,4152,4302,4398,4418,3917,3988,4344,4088,4322,3427,1483,2839,3767,3826,2346,3445,633,435,17,33,37,27,28,30,29,26,2,14,9,3])).
% 111.97/111.89  cnf(4452,plain,
% 111.97/111.89     (P2(f2(f5(x44521,a3),a1),f2(x44521,a3),f5(x44521,a3))),
% 111.97/111.89     inference(scs_inference,[],[165,158,134,4416,4150,4251,4152,4302,4398,4418,3917,3988,4344,4088,4322,3427,1483,2839,3767,3826,2346,3445,633,435,1021,17,33,37,27,28,30,29,26,2,14,9,3,10,12])).
% 111.97/111.89  cnf(4458,plain,
% 111.97/111.89     (~P1(f5(a3,a3),f5(a3,a3),a7)+~P1(f5(a3,a3),f5(a3,a3),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[165,158,154,134,4390,4416,4150,4251,4152,4302,3179,4398,4418,2248,3917,3988,4344,4088,4322,1511,3427,1483,1401,2839,3767,3826,2346,3445,633,435,1021,17,33,37,27,28,30,29,26,2,14,9,3,10,12,11,13,34])).
% 111.97/111.89  cnf(4460,plain,
% 111.97/111.89     (P2(f2(a1,a1),f5(a3,a3),f2(a1,f4(a3)))),
% 111.97/111.89     inference(scs_inference,[],[165,158,154,134,4390,4416,4150,4251,4152,4302,3179,4398,4418,2248,3917,3988,4344,484,2761,602,4088,4322,1511,3427,1483,1401,2839,3767,3826,2346,3445,633,435,1021,17,33,37,27,28,30,29,26,2,14,9,3,10,12,11,13,34,35])).
% 111.97/111.89  cnf(4472,plain,
% 111.97/111.89     (~P2(f5(a3,a3),f5(a3,a3),f2(a7,a6))),
% 111.97/111.89     inference(scs_inference,[],[4396,4296,277,33])).
% 111.97/111.89  cnf(4474,plain,
% 111.97/111.89     (~P1(f5(a1,f2(a3,a3)),f2(a3,a1),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[4435,4396,4296,2205,277,2878,2119,33,34])).
% 111.97/111.89  cnf(4478,plain,
% 111.97/111.89     (P1(a1,a1,f5(f4(a1),f5(a1,a3)))),
% 111.97/111.89     inference(scs_inference,[],[158,136,4435,4396,4361,4296,2205,3149,277,2878,2119,33,34,32])).
% 111.97/111.89  cnf(4480,plain,
% 111.97/111.89     (P2(x44801,x44802,f5(x44802,f5(x44801,a3)))),
% 111.97/111.89     inference(rename_variables,[],[3149])).
% 111.97/111.89  cnf(4483,plain,
% 111.97/111.89     (P2(f5(a3,a3),f2(a1,a1),f2(a1,f4(a3)))),
% 111.97/111.89     inference(scs_inference,[],[158,136,4435,4460,4396,4361,4296,2205,3149,277,2878,2119,33,34,32,27])).
% 111.97/111.89  cnf(4490,plain,
% 111.97/111.89     (E(f2(a1,a1),f5(f2(a1,a1),f2(a3,a3)))),
% 111.97/111.89     inference(scs_inference,[],[158,136,4435,4460,4396,4361,4324,4296,2205,1665,3149,277,2878,1038,415,2119,17,33,34,32,27,37,28])).
% 111.97/111.89  cnf(4496,plain,
% 111.97/111.89     (~P2(f2(a3,a1),f5(f2(a3,a3),f2(a1,a3)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[158,136,4435,4460,4396,4361,4324,3878,4296,4059,2205,1665,3149,4480,277,2878,2326,1038,415,389,2119,1175,17,33,34,32,27,37,28,36,31])).
% 111.97/111.89  cnf(4499,plain,
% 111.97/111.89     (E(f5(f2(a3,a1),f2(a3,a3)),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[158,136,4435,4460,4396,4361,4324,3878,4153,4296,4059,2205,1665,3149,4480,277,2878,2326,1038,415,1021,389,2119,1175,17,33,34,32,27,37,28,36,31,29])).
% 111.97/111.89  cnf(4503,plain,
% 111.97/111.89     (P1(f2(a3,a1),f5(f2(a3,a3),f5(a1,a3)),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[158,136,4378,4435,4460,4396,4361,4324,3878,4153,4296,4059,2205,1665,3149,4480,277,2878,2326,1038,415,1021,389,2119,1175,17,33,34,32,27,37,28,36,31,29,26])).
% 111.97/111.89  cnf(4505,plain,
% 111.97/111.89     (~E(f2(a6,a7),f2(f5(a3,a3),f4(a1)))),
% 111.97/111.89     inference(scs_inference,[],[158,136,4378,4435,4260,4460,4396,4361,4324,3878,4153,4296,4059,2205,1665,3149,4480,277,2878,2326,1038,415,1021,389,2119,1175,17,33,34,32,27,37,28,36,31,29,26,2])).
% 111.97/111.89  cnf(4506,plain,
% 111.97/111.89     (P2(f2(a3,a1),f5(a3,a3),f2(f5(a3,a3),a1))),
% 111.97/111.89     inference(scs_inference,[],[134,158,136,4378,4435,4260,4460,4396,4361,4324,4328,3878,4153,4296,4059,2205,1665,3149,4480,277,2878,2326,1038,415,1021,389,2119,1175,17,33,34,32,27,37,28,36,31,29,26,2,14])).
% 111.97/111.89  cnf(4507,plain,
% 111.97/111.89     (E(x45071,f2(f5(x45071,a3),a1))),
% 111.97/111.89     inference(rename_variables,[],[134])).
% 111.97/111.89  cnf(4510,plain,
% 111.97/111.89     (~E(f2(a6,a7),f2(f5(a1,a1),a3))),
% 111.97/111.89     inference(scs_inference,[],[134,158,136,4378,4435,4199,4260,4460,4396,4361,4324,4328,2598,1686,3878,4153,4296,4059,2205,1665,3149,4480,277,2878,2326,1038,415,1021,389,2119,1175,17,33,34,32,27,37,28,36,31,29,26,2,14,9,3])).
% 111.97/111.89  cnf(4512,plain,
% 111.97/111.89     (P1(f2(a3,a1),f5(a3,f5(a1,a3)),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[134,158,136,3295,4378,4435,4199,4260,4460,4396,4361,4324,4328,2510,2598,1686,3878,4153,4296,4059,2205,1665,3149,4480,277,2878,2326,1038,415,1021,389,2119,1175,17,33,34,32,27,37,28,36,31,29,26,2,14,9,3,10])).
% 111.97/111.89  cnf(4514,plain,
% 111.97/111.89     (~P2(f4(a1),f5(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[134,158,136,3295,4378,4435,4199,4422,4260,4460,4396,4447,4361,4324,4328,2510,2598,1686,3878,4153,4296,4059,2205,1665,3149,4480,277,2878,2326,1038,415,1021,389,2119,1175,17,33,34,32,27,37,28,36,31,29,26,2,14,9,3,10,12])).
% 111.97/111.89  cnf(4515,plain,
% 111.97/111.89     (P1(f2(a3,a3),a1,f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[134,158,136,3295,4352,4378,4435,4199,4422,4260,4460,4396,4447,4361,4324,4328,2510,2598,1686,2308,3878,4153,4296,4059,2205,1665,3149,4480,277,2878,2326,1038,415,1021,389,2119,1175,17,33,34,32,27,37,28,36,31,29,26,2,14,9,3,10,12,11])).
% 111.97/111.89  cnf(4516,plain,
% 111.97/111.89     (P2(a3,f2(f5(a3,a3),a1),f2(x45161,a3))),
% 111.97/111.89     inference(scs_inference,[],[134,4507,158,136,3295,4352,4378,4435,4199,4422,4260,4460,4396,4447,4361,4324,4328,2510,2598,1686,2308,3878,4153,4296,4059,2205,1665,3149,4480,277,2878,2326,3648,1038,415,1021,389,2119,1175,17,33,34,32,27,37,28,36,31,29,26,2,14,9,3,10,12,11,13])).
% 111.97/111.89  cnf(4525,plain,
% 111.97/111.89     (P1(x45251,f4(x45251),f5(f2(a3,a3),a3))),
% 111.97/111.89     inference(rename_variables,[],[4411])).
% 111.97/111.89  cnf(4528,plain,
% 111.97/111.89     (~P1(a3,a3,f5(a7,a3))),
% 111.97/111.89     inference(scs_inference,[],[158,4411,4392,1692,444,217,18,33,32])).
% 111.97/111.89  cnf(4529,plain,
% 111.97/111.89     (P2(a3,x45291,x45291)),
% 111.97/111.89     inference(rename_variables,[],[18])).
% 111.97/111.89  cnf(4532,plain,
% 111.97/111.89     (~P2(f5(f2(a3,a3),f2(a1,a3)),f2(a3,a1),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[158,4411,4496,4392,1692,444,217,18,33,32,27])).
% 111.97/111.89  cnf(4537,plain,
% 111.97/111.89     (~P1(f5(a1,a3),f2(a6,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[158,4411,4496,4264,4392,4401,2453,1692,891,444,1271,1869,217,1454,18,15,33,32,27,35,37])).
% 111.97/111.89  cnf(4542,plain,
% 111.97/111.89     (~P2(f4(f5(a1,a3)),f2(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[158,4411,4496,4264,3198,4392,4401,2453,1692,3508,891,444,1271,1869,217,1738,299,1454,18,15,33,32,27,35,37,30])).
% 111.97/111.89  cnf(4547,plain,
% 111.97/111.89     (~P1(f5(a3,a3),f2(a1,a1),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[158,4411,4496,4264,2684,3198,4392,4401,2453,1692,4262,3508,891,444,1271,1869,217,1738,299,1454,18,15,33,32,27,35,37,30,28])).
% 111.97/111.89  cnf(4550,plain,
% 111.97/111.89     (P1(x45501,f4(x45501),f5(f2(a3,a3),a3))),
% 111.97/111.89     inference(rename_variables,[],[4411])).
% 111.97/111.89  cnf(4551,plain,
% 111.97/111.89     (P2(f4(x45511),f2(x45511,x45511),f2(f5(a1,a3),a1))),
% 111.97/111.89     inference(rename_variables,[],[4280])).
% 111.97/111.89  cnf(4560,plain,
% 111.97/111.89     (~P2(f4(x45601),f2(x45601,x45601),f4(a7))),
% 111.97/111.89     inference(scs_inference,[],[158,4280,4551,4411,4525,4550,4496,4143,4264,2684,3198,4384,3724,4392,4401,2453,1692,4262,3508,891,444,4153,1271,1869,217,295,1738,299,1454,18,4529,15,33,32,27,35,37,30,28,36,31,29])).
% 111.97/111.89  cnf(4564,plain,
% 111.97/111.89     (E(f5(f2(a1,a1),f2(a3,a3)),f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[158,4280,4551,4411,4525,4550,4490,4474,4496,4143,4264,2684,3198,4384,3724,4392,4401,2453,1692,4262,3508,891,444,4153,1271,1869,217,295,1738,299,1454,18,4529,15,33,32,27,35,37,30,28,36,31,29,26,2])).
% 111.97/111.89  cnf(4565,plain,
% 111.97/111.89     (~P2(f2(a6,a7),f2(a6,a1),f2(f2(a6,a1),f2(a1,a1)))),
% 111.97/111.89     inference(scs_inference,[],[158,4280,4551,4411,4525,4550,4490,4474,4496,4143,4264,2684,3920,3198,4384,3724,4392,4401,2453,1692,4262,1497,3508,891,444,4153,1271,1869,217,295,1738,299,1454,18,4529,15,33,32,27,35,37,30,28,36,31,29,26,2,14])).
% 111.97/111.89  cnf(4567,plain,
% 111.97/111.89     (E(f5(a3,a1),f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[158,4280,4551,4411,4525,4550,4490,4474,4496,4143,4264,2684,3920,3198,4384,3724,4392,4401,2453,1692,4262,2231,1497,2302,3508,891,444,4153,1271,1869,217,295,1738,299,1454,18,4529,15,33,32,27,35,37,30,28,36,31,29,26,2,14,3])).
% 111.97/111.89  cnf(4569,plain,
% 111.97/111.89     (P1(f2(f5(a3,a3),a1),f2(a1,a1),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[134,158,4280,4551,4411,4525,4550,4490,4474,4496,4143,4264,2684,3920,3198,4384,3724,4392,4401,2453,1692,4262,2231,1497,2302,3508,2133,891,444,4153,1271,1869,217,295,1738,299,1454,18,4529,15,33,32,27,35,37,30,28,36,31,29,26,2,14,3,9])).
% 111.97/111.89  cnf(4570,plain,
% 111.97/111.89     (E(x45701,f2(f5(x45701,a3),a1))),
% 111.97/111.89     inference(rename_variables,[],[134])).
% 111.97/111.89  cnf(4571,plain,
% 111.97/111.89     (P1(f2(a3,a3),f2(f5(a1,a3),a1),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[134,4570,158,4280,4551,4411,4525,4550,4490,4474,4496,4143,4264,2684,3920,3198,4384,3724,4392,4401,4515,2453,1692,4262,2231,1497,2302,3508,2133,891,444,4153,1271,1869,217,295,1738,299,1454,18,4529,15,33,32,27,35,37,30,28,36,31,29,26,2,14,3,9,10])).
% 111.97/111.89  cnf(4572,plain,
% 111.97/111.89     (E(x45721,f2(f5(x45721,a3),a1))),
% 111.97/111.89     inference(rename_variables,[],[134])).
% 111.97/111.89  cnf(4573,plain,
% 111.97/111.89     (~P2(f5(f2(a3,a1),f2(a3,a3)),f5(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[134,4570,158,154,4280,4551,4411,4525,4550,4490,4499,4474,4496,4143,4264,2684,3920,3198,4384,3724,4392,4401,4515,2453,1692,4262,2231,1497,2302,3508,2133,891,444,4153,1271,1869,217,295,1738,299,1454,18,4529,15,33,32,27,35,37,30,28,36,31,29,26,2,14,3,9,10,12])).
% 111.97/111.89  cnf(4574,plain,
% 111.97/111.89     (P1(f2(x45741,a3),f2(a1,a1),f2(f5(a3,a3),a1))),
% 111.97/111.89     inference(scs_inference,[],[134,4570,4572,158,154,4280,4551,4411,4525,4550,4490,4499,4474,4496,4143,4264,2684,3920,3198,4384,3724,4392,4401,4515,4440,2453,1692,4262,2231,1497,2302,3508,2133,891,444,4153,1271,1869,217,295,1738,299,1454,18,4529,15,33,32,27,35,37,30,28,36,31,29,26,2,14,3,9,10,12,11])).
% 111.97/111.89  cnf(4580,plain,
% 111.97/111.89     (P1(a1,a3,f5(f5(a3,a3),f5(a3,a3)))),
% 111.97/111.89     inference(scs_inference,[],[2336,3409,4392,101,33])).
% 111.97/111.89  cnf(4582,plain,
% 111.97/111.89     (P2(f2(a3,a3),f2(a1,a3),f2(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[2336,3409,4392,3878,4059,55,101,33,34])).
% 111.97/111.89  cnf(4585,plain,
% 111.97/111.89     (P2(f5(a3,a3),f2(a3,a1),f2(f5(a3,a3),a1))),
% 111.97/111.89     inference(scs_inference,[],[4506,2336,3409,4392,3878,4059,55,101,33,34,27])).
% 111.97/111.89  cnf(4587,plain,
% 111.97/111.89     (P1(f5(a1,a3),f2(x45871,a3),f2(x45871,a3))),
% 111.97/111.89     inference(scs_inference,[],[4506,2336,3409,4392,3835,1032,3878,4059,3648,55,101,33,34,27,32])).
% 111.97/111.89  cnf(4589,plain,
% 111.97/111.89     (P2(a3,f5(f2(a3,a3),a3),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[4506,3380,2336,3409,582,4392,3835,1032,3878,4059,3648,18,55,101,33,34,27,32,37])).
% 111.97/111.89  cnf(4596,plain,
% 111.97/111.89     (P2(f2(x45961,x45961),f4(x45961),a1)),
% 111.97/111.89     inference(rename_variables,[],[136])).
% 111.97/111.89  cnf(4603,plain,
% 111.97/111.89     (~P2(a3,f2(f5(a3,a3),a1),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[136,154,4506,4510,3868,3380,4516,2336,3409,582,3038,4392,3056,1776,3835,1032,3878,3718,4059,3648,1087,217,18,15,55,101,33,34,27,32,37,28,36,30,29])).
% 111.97/111.89  cnf(4606,plain,
% 111.97/111.89     (P1(f2(a1,a1),f2(f5(a3,a3),a1),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[136,154,4506,4569,4510,3868,3380,4516,2336,3409,582,3038,4392,3056,1776,3835,1032,3878,3718,4059,3648,1087,217,18,15,55,101,33,34,27,32,37,28,36,30,29,26])).
% 111.97/111.89  cnf(4609,plain,
% 111.97/111.89     (P2(f5(f5(a3,a3),f2(a1,a1)),a3,f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[136,154,4506,4569,4510,3868,4567,3380,4516,2336,3409,582,3038,3322,4392,3056,1776,3835,1032,3878,3718,4059,3648,1087,217,18,15,55,101,33,34,27,32,37,28,36,30,29,26,2,14])).
% 111.97/111.89  cnf(4610,plain,
% 111.97/111.89     (~E(f2(a3,a3),a7)),
% 111.97/111.89     inference(scs_inference,[],[136,154,4506,4569,4510,3868,4567,3380,4516,4450,2336,3409,582,3038,3322,3717,4392,3056,1776,3835,1032,3878,3718,4059,3648,1087,217,18,15,55,101,33,34,27,32,37,28,36,30,29,26,2,14,3])).
% 111.97/111.89  cnf(4612,plain,
% 111.97/111.89     (E(f5(f2(x46121,a3),f2(x46121,a1)),x46121)),
% 111.97/111.89     inference(rename_variables,[],[3189])).
% 111.97/111.89  cnf(4613,plain,
% 111.97/111.89     (~P1(a6,f5(f2(a3,a3),f2(a3,a1)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[136,176,140,154,4506,4569,4510,3868,4567,3380,4516,4450,2336,3409,582,3038,3322,3717,4392,3056,1776,3835,3189,4612,1032,3878,3718,4059,3648,1087,217,18,15,55,101,33,34,27,32,37,28,36,30,29,26,2,14,3,9,10])).
% 111.97/111.89  cnf(4614,plain,
% 111.97/111.89     (E(f5(f2(x46141,a3),f2(x46141,a1)),x46141)),
% 111.97/111.89     inference(rename_variables,[],[3189])).
% 111.97/111.89  cnf(4615,plain,
% 111.97/111.89     (P2(f5(x46151,f4(x46151)),f4(a1),a1)),
% 111.97/111.89     inference(scs_inference,[],[136,4596,176,140,154,3596,4506,4569,4510,3868,4567,3380,4516,4450,2336,3409,582,3038,3322,3717,4392,3056,1776,3835,3189,4612,1032,3878,3718,4059,3648,1087,217,18,15,55,101,33,34,27,32,37,28,36,30,29,26,2,14,3,9,10,12])).
% 111.97/111.89  cnf(4619,plain,
% 111.97/111.89     (~E(f2(f2(a6,a7),a1),a3)),
% 111.97/111.89     inference(scs_inference,[],[136,4596,181,176,140,154,3596,4506,4569,4510,3868,4567,3380,4516,4450,2336,3409,582,3038,3322,3717,4392,3056,1776,3835,3189,4612,4614,1032,3878,3718,4059,3648,1087,217,1395,18,15,55,101,33,34,27,32,37,28,36,30,29,26,2,14,3,9,10,12,11,13])).
% 111.97/111.89  cnf(4627,plain,
% 111.97/111.89     (P1(f5(a1,f5(a1,a3)),a3,a3)),
% 111.97/111.89     inference(scs_inference,[],[3334,3076,33])).
% 111.97/111.89  cnf(4633,plain,
% 111.97/111.89     (~P2(f5(f5(a3,a3),f5(a3,a3)),f5(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[158,4109,3420,4069,2213,4580,3334,3487,3076,1561,33,34,32])).
% 111.97/111.89  cnf(4638,plain,
% 111.97/111.89     (~P2(f2(a6,a1),f2(a6,a7),f2(f2(a6,a1),f2(a1,a1)))),
% 111.97/111.89     inference(scs_inference,[],[158,4565,4109,3420,3897,4069,2213,4580,3334,3869,3487,3076,321,1561,15,33,34,32,35,27])).
% 111.97/111.89  cnf(4640,plain,
% 111.97/111.89     (E(f5(f2(a3,a3),a3),f2(x46401,a3))),
% 111.97/111.89     inference(scs_inference,[],[158,4565,4109,3420,3897,4069,2213,4580,3334,4411,3869,3487,3076,321,1561,415,15,33,34,32,35,27,28])).
% 111.97/111.89  cnf(4647,plain,
% 111.97/111.89     (P2(f2(a3,a1),f5(f2(a3,a3),f2(a3,a3)),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[158,4503,4582,4565,4109,3420,3871,3897,4069,2213,4580,3334,4411,1301,3452,3869,4155,3487,3076,321,1561,415,16,15,33,34,32,35,27,28,37,36])).
% 111.97/111.89  cnf(4648,plain,
% 111.97/111.89     (P2(x46481,a3,x46481)),
% 111.97/111.89     inference(rename_variables,[],[16])).
% 111.97/111.89  cnf(4651,plain,
% 111.97/111.89     (~P1(f5(a7,a3),f2(a1,a6),f2(f5(a3,a3),a1))),
% 111.97/111.89     inference(scs_inference,[],[158,4503,4582,4565,4109,3420,3871,3897,4069,2213,2929,4580,3334,4411,1301,3452,3869,4155,4516,3487,3076,321,1561,415,626,635,16,15,33,34,32,35,27,28,37,36,31])).
% 111.97/111.89  cnf(4657,plain,
% 111.97/111.89     (P1(f2(a3,a1),f5(f4(a3),a3),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[158,4503,4582,4565,4109,3420,3871,3897,4069,2213,2929,4580,3334,4411,1301,4398,3452,3869,4155,4516,3487,3076,321,2118,1561,754,415,626,635,16,15,33,34,32,35,27,28,37,36,31,30])).
% 111.97/111.89  cnf(4662,plain,
% 111.97/111.89     (E(f2(a1,a1),f5(f5(a3,a3),f2(a1,a1)))),
% 111.97/111.89     inference(scs_inference,[],[158,4503,4582,4565,4109,3420,3871,3897,4069,4609,2213,2929,4580,3334,4411,1301,4398,3452,3869,4155,4516,3487,3076,321,2118,1561,754,415,626,635,16,4648,15,33,34,32,35,27,28,37,36,31,30,29])).
% 111.97/111.89  cnf(4667,plain,
% 111.97/111.89     (E(f5(f4(x46671),f2(x46671,x46671)),f5(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[158,4503,4582,4547,4565,4109,3420,3871,3897,4069,4609,2213,2929,4580,3334,3655,4411,1301,4398,3452,3869,4155,4516,3487,3076,321,2118,1561,754,415,626,635,16,4648,15,33,34,32,35,27,28,37,36,31,30,29,26,2])).
% 111.97/111.89  cnf(4668,plain,
% 111.97/111.89     (~E(f2(a6,a7),f2(a3,f4(a1)))),
% 111.97/111.89     inference(scs_inference,[],[158,4503,4582,4547,4565,4109,4505,3420,3871,3897,4069,4609,2213,2929,4580,3334,3655,4411,1301,4398,3452,3869,4155,4516,643,3487,3076,321,2118,1561,754,415,626,635,16,4648,15,33,34,32,35,27,28,37,36,31,30,29,26,2,3])).
% 111.97/111.89  cnf(4670,plain,
% 111.97/111.89     (P2(f2(a3,a3),f2(a1,a3),f2(f5(a3,a3),a1))),
% 111.97/111.89     inference(scs_inference,[],[158,4503,4582,4547,4565,4109,4505,3420,3871,3897,4069,4609,2213,2929,4580,3334,3601,3655,4411,1301,4398,3452,3869,4155,4516,643,3487,3076,321,2118,1561,754,415,626,635,16,4648,15,33,34,32,35,27,28,37,36,31,30,29,26,2,3,14])).
% 111.97/111.89  cnf(4671,plain,
% 111.97/111.89     (P1(f2(a1,a1),f2(a3,a3),f2(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[158,4503,4582,4547,4565,4109,4505,3387,3420,3871,3897,4069,4609,2213,2929,4580,3334,3352,3601,3655,4411,1301,4398,3452,3869,4155,4516,643,3487,3076,321,2118,1561,754,415,626,635,16,4648,15,33,34,32,35,27,28,37,36,31,30,29,26,2,3,14,9])).
% 111.97/111.89  cnf(4673,plain,
% 111.97/111.89     (P1(f5(a1,a3),f5(f4(a1),f2(a3,a3)),f2(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[158,4503,4582,4547,4565,4109,4505,3387,4587,3420,3871,3897,4069,4609,2213,2929,4580,3334,3352,3601,3655,3817,4411,1301,4398,3452,3869,4155,4516,643,3487,3076,321,2118,1561,754,415,626,635,16,4648,15,33,34,32,35,27,28,37,36,31,30,29,26,2,3,14,9,10])).
% 111.97/111.89  cnf(4674,plain,
% 111.97/111.89     (P1(f5(a1,a3),f2(x46741,a3),f2(x46741,a3))),
% 111.97/111.89     inference(rename_variables,[],[4587])).
% 111.97/111.89  cnf(4675,plain,
% 111.97/111.89     (~P2(f2(a3,a1),f5(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[158,4503,4582,4547,4565,4573,4109,4505,3387,4587,3420,3871,3897,4069,4609,2213,2929,4580,3334,3352,3601,3655,3817,4265,4411,1301,4398,3452,3869,4155,4516,643,3487,3076,321,2118,1561,754,415,626,635,16,4648,15,33,34,32,35,27,28,37,36,31,30,29,26,2,3,14,9,10,12])).
% 111.97/111.89  cnf(4676,plain,
% 111.97/111.89     (P1(f5(a1,a3),f2(a1,a3),f5(f4(a1),f2(a3,a3)))),
% 111.97/111.89     inference(scs_inference,[],[158,4503,4582,4547,4565,4573,4109,4505,3387,4587,4674,3420,3871,3897,4069,4609,2213,2929,4580,3334,3352,3601,3655,3817,4265,4411,1301,4398,3452,3869,4155,4516,643,3487,3076,321,2118,1561,754,415,626,635,16,4648,15,33,34,32,35,27,28,37,36,31,30,29,26,2,3,14,9,10,12,11])).
% 111.97/111.89  cnf(4678,plain,
% 111.97/111.89     (P2(f2(f2(a3,a3),f2(a3,a3)),f4(a3),a1)),
% 111.97/111.89     inference(scs_inference,[],[136,158,4503,4582,4547,4565,4573,4109,4505,3387,4587,4674,3420,3871,3897,4069,4609,2213,2929,4580,3334,3352,3601,3655,3817,4265,4411,2057,1301,4398,3452,3869,4155,4516,643,3487,3076,321,2118,1561,754,415,626,635,16,4648,15,33,34,32,35,27,28,37,36,31,30,29,26,2,3,14,9,10,12,11,13])).
% 111.97/111.89  cnf(4680,plain,
% 111.97/111.89     (P1(f2(a1,a1),f2(a1,a3),f5(f2(a3,a1),a3))),
% 111.97/111.89     inference(scs_inference,[],[4671,3820,2286,756,33])).
% 111.97/111.89  cnf(4683,plain,
% 111.97/111.89     (~P1(f2(a3,a3),f2(a3,a1),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[4647,4671,2369,2201,3820,2286,756,1266,33,34])).
% 111.97/111.89  cnf(4687,plain,
% 111.97/111.89     (P2(f5(f2(a3,a3),f2(a3,a3)),f2(a3,a1),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[4647,4671,2369,2201,3820,2286,756,1266,33,34,27])).
% 111.97/111.89  cnf(4692,plain,
% 111.97/111.89     (P2(f2(f5(a1,a1),f2(a3,a3)),f2(a3,a1),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[4571,4647,4671,2371,3116,2369,1669,2201,3820,2286,756,265,1266,295,33,34,27,32,35])).
% 111.97/111.89  cnf(4695,plain,
% 111.97/111.89     (~P1(f2(a1,a1),f2(f2(a3,a3),f4(a3)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[4571,4647,4671,2329,2371,3116,3613,2369,4362,1669,3496,2201,3820,2286,756,265,1266,295,33,34,27,32,35,37])).
% 111.97/111.89  cnf(4696,plain,
% 111.97/111.89     (P2(f2(a3,a3),f2(f5(x46961,a3),a1),f2(x46961,x46961))),
% 111.97/111.89     inference(rename_variables,[],[4362])).
% 111.97/111.89  cnf(4698,plain,
% 111.97/111.89     (~P1(f2(a1,a1),f2(a3,a3),a7)),
% 111.97/111.89     inference(scs_inference,[],[4571,4647,4671,2329,2371,4610,3116,3613,2369,4362,1669,3496,2201,3820,2286,756,265,1266,295,33,34,27,32,35,37,28])).
% 111.97/111.89  cnf(4700,plain,
% 111.97/111.89     (P1(f2(a1,a1),f2(a1,a1),f2(f4(a3),f4(a3)))),
% 111.97/111.89     inference(scs_inference,[],[4571,4647,4671,2329,4255,2371,4610,3980,3116,3613,2369,4440,4362,4696,1669,3496,2201,3820,2286,756,265,1266,295,33,34,27,32,35,37,28,30])).
% 111.97/111.89  cnf(4704,plain,
% 111.97/111.89     (~P2(f5(a3,a3),f2(a3,a1),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[4571,4585,4647,4671,2329,4255,2371,4610,3980,3116,3613,2369,290,4440,4362,4696,1669,3496,2201,3820,2286,756,265,1266,295,33,34,27,32,35,37,28,30,29])).
% 111.97/111.89  cnf(4706,plain,
% 111.97/111.89     (P1(f2(f5(a1,a3),a1),f2(a3,a3),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[4571,4585,4647,4671,2329,4255,2371,4610,3980,3116,3613,2369,290,4440,4362,4696,1669,3496,2201,3820,2286,756,265,1266,295,33,34,27,32,35,37,28,30,29,26])).
% 111.97/111.89  cnf(4708,plain,
% 111.97/111.89     (~E(f2(a3,f4(a1)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[4571,4585,4647,4671,4668,2329,4255,2371,4610,3980,3116,3613,2369,290,4440,4362,4696,1669,3496,2201,3820,2286,756,265,1266,295,33,34,27,32,35,37,28,30,29,26,2])).
% 111.97/111.89  cnf(4709,plain,
% 111.97/111.89     (E(f5(f2(a3,a3),f2(a3,a3)),f2(x47091,a3))),
% 111.97/111.89     inference(scs_inference,[],[4571,4585,4647,4671,4668,4640,2329,4255,2371,4610,3980,3116,3613,2369,2187,290,4440,4362,4696,1669,3496,2201,3820,2286,756,265,1266,295,33,34,27,32,35,37,28,30,29,26,2,3])).
% 111.97/111.89  cnf(4711,plain,
% 111.97/111.89     (~P2(a6,a3,f5(f5(a6,a3),f2(a6,a7)))),
% 111.97/111.89     inference(scs_inference,[],[181,4571,4585,4647,4671,4668,4640,2329,4255,2371,4610,3980,3116,3613,2369,2187,290,4440,4362,4696,1669,3496,2201,699,3820,2286,756,265,1266,295,33,34,27,32,35,37,28,30,29,26,2,3,14])).
% 111.97/111.89  cnf(4713,plain,
% 111.97/111.89     (P1(f2(f4(a3),f4(a3)),f2(a3,a3),f2(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[181,4571,4585,4647,4671,3919,4668,4640,2329,4255,2371,4610,3980,3116,3613,2369,2187,290,4440,4362,4696,1669,3496,2201,699,3820,2286,756,265,1266,295,33,34,27,32,35,37,28,30,29,26,2,3,14,9])).
% 111.97/111.89  cnf(4715,plain,
% 111.97/111.89     (~P2(f5(f2(a3,a3),a3),f5(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[181,154,4571,4585,4647,4671,3919,4668,3392,4640,2329,4255,2371,4610,3980,3116,4567,3613,2369,2058,2187,290,4440,4362,4696,1669,3496,2201,699,3820,2286,756,265,1266,295,33,34,27,32,35,37,28,30,29,26,2,3,14,9,10,12])).
% 111.97/111.89  cnf(4717,plain,
% 111.97/111.89     (P1(f5(f5(a1,a3),a1),f2(a1,a1),f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[181,154,4571,4585,4647,4671,3919,4668,3392,4640,2329,4255,2371,4610,3980,3116,3291,4567,3613,2369,2058,2187,290,4440,4362,4696,1669,3496,2201,699,3820,2286,756,265,1266,295,33,34,27,32,35,37,28,30,29,26,2,3,14,9,10,12,11])).
% 111.97/111.89  cnf(4718,plain,
% 111.97/111.89     (~P2(f4(a1),f5(f2(a1,a1),f2(a3,a3)),f4(a7))),
% 111.97/111.89     inference(scs_inference,[],[181,154,4564,4571,4585,4647,4671,3919,4668,3392,4640,4560,2329,4255,2371,4610,3980,3116,3291,4567,3613,2369,2058,2187,290,4440,4362,4696,1669,3496,2201,699,3820,2286,756,265,1266,295,33,34,27,32,35,37,28,30,29,26,2,3,14,9,10,12,11,13])).
% 111.97/111.89  cnf(4723,plain,
% 111.97/111.89     (P1(a3,a3,f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[181,154,4564,4571,4585,4647,4671,3919,4668,3392,4640,4560,2329,4255,2371,4610,3980,3116,1675,3291,4567,3613,2369,2058,2187,290,4440,4362,4696,1669,3496,2201,699,3820,2286,756,1011,1271,265,1266,389,295,33,34,27,32,35,37,28,30,29,26,2,3,14,9,10,12,11,13,36,31])).
% 111.97/111.89  cnf(4738,plain,
% 111.97/111.89     (~P2(f5(a3,a3),f5(f5(a3,a3),f5(a3,a3)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[4606,4706,4633,4704,3153,4406,3489,4306,2363,2311,358,1395,33,34,35,27])).
% 111.97/111.89  cnf(4740,plain,
% 111.97/111.89     (P1(f5(a3,a3),f5(a3,a1),f2(f2(a3,a1),f2(a3,a1)))),
% 111.97/111.89     inference(scs_inference,[],[4606,4706,4633,4704,3153,4452,3917,4406,3489,4306,187,3445,2363,2311,358,1395,33,34,35,27,32])).
% 111.97/111.89  cnf(4752,plain,
% 111.97/111.89     (P1(f2(f5(a3,a3),a1),a1,a3)),
% 111.97/111.89     inference(scs_inference,[],[4606,4670,4706,4633,4704,4209,3153,4678,4723,4031,3346,4038,4452,3917,4406,3489,4155,4306,187,3445,2363,2311,3288,660,265,358,1395,493,17,33,34,35,27,32,28,37,36,31])).
% 111.97/111.89  cnf(4766,plain,
% 111.97/111.89     (E(f5(f5(a3,a3),f2(a1,a1)),f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[140,4606,4670,4706,4662,4633,4683,4704,4209,3153,4678,4723,4031,3346,4038,4452,3917,4406,3489,4155,4306,187,3445,1742,2363,2311,3288,660,265,358,1395,493,626,23,17,33,34,35,27,32,28,37,36,31,30,29,26,2])).
% 111.97/111.89  cnf(4767,plain,
% 111.97/111.89     (P2(f5(a3,a1),a3,f5(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[140,4606,4667,4670,4706,4662,4633,4683,4704,4209,3153,4678,4723,4031,3346,4038,4452,3917,4406,3489,4155,4306,2897,187,3445,1742,2363,2311,3288,660,265,358,1395,493,626,23,17,33,34,35,27,32,28,37,36,31,30,29,26,2,14])).
% 111.97/111.89  cnf(4769,plain,
% 111.97/111.89     (~E(f2(x47691,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[140,4606,4667,4670,4706,4662,4633,4683,4704,4209,3153,4709,4678,4723,4031,3346,4038,1510,4452,3917,4406,3489,4155,4306,2897,187,3445,1742,2363,2311,3288,660,265,358,1395,493,626,23,17,33,34,35,27,32,28,37,36,31,30,29,26,2,14,3])).
% 111.97/111.89  cnf(4771,plain,
% 111.97/111.89     (E(f5(f2(x47711,a3),f2(x47711,a1)),x47711)),
% 111.97/111.89     inference(rename_variables,[],[3189])).
% 111.97/111.89  cnf(4774,plain,
% 111.97/111.89     (P2(f2(f4(x47741),x47741),f4(a3),a1)),
% 111.97/111.89     inference(scs_inference,[],[140,147,158,4338,4606,4667,4670,4706,4662,4633,4683,4704,4209,3153,4709,4678,4723,4031,3346,4038,1510,4452,3917,4406,3489,4155,4306,2897,187,3445,3189,4771,1742,2363,2311,3288,660,265,358,1395,493,626,23,17,33,34,35,27,32,28,37,36,31,30,29,26,2,14,3,9,10,12])).
% 111.97/111.89  cnf(4778,plain,
% 111.97/111.89     (~P2(f2(a3,a3),f5(f2(a3,a1),a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[140,147,158,4338,4606,4667,4670,4706,4662,4136,4633,4683,4704,4209,3153,4709,4678,4723,4031,3346,4038,1510,4259,4452,3917,4406,3489,1954,4155,4306,2897,187,3445,3189,4771,1742,2363,2311,3288,660,265,358,1395,493,626,23,17,33,34,35,27,32,28,37,36,31,30,29,26,2,14,3,9,10,12,11,13])).
% 111.97/111.89  cnf(4782,plain,
% 111.97/111.89     (P2(f2(a3,a3),a3,f2(f2(a3,a1),f2(a3,a1)))),
% 111.97/111.89     inference(scs_inference,[],[187,3073,1892,1493,4328,33,27])).
% 111.97/111.89  cnf(4784,plain,
% 111.97/111.89     (P1(f5(a3,a1),f5(a1,a3),f5(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[187,3073,4767,1892,1493,4328,2973,16,33,27,32])).
% 111.97/111.89  cnf(4787,plain,
% 111.97/111.89     (~P1(f2(f2(a3,a1),f2(a3,a1)),f2(a1,a1),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[187,3073,4574,4603,4767,1892,1493,4328,3718,2973,16,33,27,32,35])).
% 111.97/111.89  cnf(4790,plain,
% 111.97/111.89     (E(a3,f4(a1))),
% 111.97/111.89     inference(scs_inference,[],[187,3073,4574,4603,4767,1892,1687,1493,4328,3718,2973,295,16,33,27,32,35,28])).
% 111.97/111.89  cnf(4796,plain,
% 111.97/111.89     (~P1(f4(a3),f2(f2(a3,a1),f2(a3,a1)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[187,4713,4715,3073,4574,4603,4767,1892,1687,4207,1493,3583,3980,4328,3201,4516,3718,2973,295,16,33,27,32,35,28,37,36])).
% 111.97/111.89  cnf(4797,plain,
% 111.97/111.89     (P1(f4(x47971),x47971,f5(f2(a3,a3),a3))),
% 111.97/111.89     inference(rename_variables,[],[4207])).
% 111.97/111.89  cnf(4799,plain,
% 111.97/111.89     (E(f2(f2(a3,a1),f2(a3,a1)),f2(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[187,4713,4715,3073,4574,4603,4767,1892,1687,4207,1493,3583,3980,4328,3201,4516,3718,2973,393,295,16,33,27,32,35,28,37,36,29])).
% 111.97/111.89  cnf(4802,plain,
% 111.97/111.89     (~P2(f2(a3,a1),f2(f2(a3,a1),a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[187,4713,4193,4715,3073,4574,1213,4603,4767,1892,1687,4207,1493,3583,3980,4328,3201,2890,4516,3718,2973,393,1271,295,16,33,27,32,35,28,37,36,29,30])).
% 111.97/111.89  cnf(4806,plain,
% 111.97/111.89     (P1(f5(f4(a1),f2(a3,a3)),f5(a1,a3),f2(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[187,4673,4713,4193,4715,3073,4574,1213,4603,4767,1892,1687,4207,1493,3583,3980,4328,3201,2890,4516,3718,2973,393,1271,295,16,33,27,32,35,28,37,36,29,30,26])).
% 111.97/111.89  cnf(4808,plain,
% 111.97/111.89     (~E(f2(a1,a7),f2(f5(a6,a3),a1))),
% 111.97/111.89     inference(scs_inference,[],[187,4673,4713,4193,4715,3874,3073,4574,1213,4603,4767,1892,1687,4207,1493,3583,3980,4328,3201,2890,4516,3718,2973,393,1271,295,16,33,27,32,35,28,37,36,29,30,26,2])).
% 111.97/111.89  cnf(4810,plain,
% 111.97/111.89     (~E(f2(a6,a7),f5(f2(a3,a1),a3))),
% 111.97/111.89     inference(scs_inference,[],[187,4673,4713,4193,4715,4413,4483,3874,3073,4574,1213,4603,4767,1892,1687,4207,1493,3583,4284,3980,4328,3201,771,2890,4516,3718,2973,393,1271,295,16,33,27,32,35,28,37,36,29,30,26,2,14,3])).
% 111.97/111.89  cnf(4812,plain,
% 111.97/111.89     (P1(f4(a3),a1,f5(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[187,4673,4713,4193,4715,4413,4483,3874,3073,4574,1213,4603,4767,1892,1687,4341,4207,1493,3583,1574,4284,3980,4328,3201,771,2890,4516,3718,2973,393,1271,295,16,33,27,32,35,28,37,36,29,30,26,2,14,3,9])).
% 111.97/111.89  cnf(4813,plain,
% 111.97/111.89     (P1(f5(a3,a3),f5(a1,a3),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[187,4673,4713,4193,4715,4413,4483,3874,3073,4574,1213,4603,4767,1892,1687,4341,3646,4207,4667,1493,3583,1574,4284,3980,4328,3201,771,2890,4516,3718,2973,393,1271,295,16,33,27,32,35,28,37,36,29,30,26,2,14,3,9,10])).
% 111.97/111.89  cnf(4815,plain,
% 111.97/111.89     (~P2(f4(a3),f2(f2(a3,a3),f2(a3,a3)),f4(a7))),
% 111.97/111.89     inference(scs_inference,[],[187,4673,4713,4193,4715,4413,4483,3874,3073,4574,1213,4603,4767,1892,1687,4341,3646,4207,4667,2301,1493,3583,1574,4284,4560,3980,4328,3201,771,2890,4516,3718,2973,393,1271,295,16,33,27,32,35,28,37,36,29,30,26,2,14,3,9,10,12])).
% 111.97/111.89  cnf(4821,plain,
% 111.97/111.89     (E(f5(a3,x48211),f5(f4(a1),x48211))),
% 111.97/111.89     inference(scs_inference,[],[187,4673,4713,4766,4193,4715,4413,4483,3874,3073,4574,1213,4603,4767,1892,1687,4341,3646,4207,4667,2301,1493,3246,3583,1574,4284,4560,3980,4328,3201,771,2890,704,4516,3718,2973,393,1271,295,16,33,27,32,35,28,37,36,29,30,26,2,14,3,9,10,12,11,13,7])).
% 111.97/111.89  cnf(4822,plain,
% 111.97/111.89     (E(f5(x48221,a3),f5(x48221,f4(a1)))),
% 111.97/111.89     inference(scs_inference,[],[187,4673,4713,4766,4193,4715,4413,4483,3874,3073,4574,1213,4603,4767,1892,1687,4341,3646,4207,4667,2301,1493,3246,3583,1574,4284,4560,3980,4328,3201,771,2890,704,4516,3718,2973,393,1271,295,16,33,27,32,35,28,37,36,29,30,26,2,14,3,9,10,12,11,13,7,8])).
% 111.97/111.89  cnf(4823,plain,
% 111.97/111.89     (E(f4(a3),f4(f4(a1)))),
% 111.97/111.89     inference(scs_inference,[],[187,4673,4713,4766,4193,4715,4413,4483,3874,3073,4574,1213,4603,4767,1892,1687,4341,3646,4207,4667,2301,1493,3246,3583,1574,4284,4560,3980,4328,3201,771,2890,704,4516,3718,2973,393,1271,295,16,33,27,32,35,28,37,36,29,30,26,2,14,3,9,10,12,11,13,7,8,4])).
% 111.97/111.89  cnf(4824,plain,
% 111.97/111.89     (E(f2(x48241,a3),f2(x48241,f4(a1)))),
% 111.97/111.89     inference(scs_inference,[],[187,4673,4713,4766,4193,4715,4413,4483,3874,3073,4574,1213,4603,4767,1892,1687,4341,3646,4207,4667,2301,1493,3246,3583,1574,4284,4560,3980,4328,3201,771,2890,704,4516,3718,2973,393,1271,295,16,33,27,32,35,28,37,36,29,30,26,2,14,3,9,10,12,11,13,7,8,4,6])).
% 111.97/111.89  cnf(4828,plain,
% 111.97/111.89     (E(f2(a3,x48281),f2(f4(a1),x48281))),
% 111.97/111.89     inference(scs_inference,[],[187,4673,4713,4766,4193,4715,4413,4483,3874,3073,4574,1213,4603,4767,1892,1687,4341,3646,4207,4797,4667,2301,1493,3246,3583,1574,4284,4560,3980,4328,3201,771,2890,704,4516,3718,2973,393,1271,1935,295,16,33,27,32,35,28,37,36,29,30,26,2,14,3,9,10,12,11,13,7,8,4,6,34,5])).
% 111.97/111.89  cnf(4832,plain,
% 111.97/111.89     (P1(f4(a3),a1,f5(f2(a1,a1),f2(a3,a3)))),
% 111.97/111.89     inference(scs_inference,[],[158,4353,2475,495,33])).
% 111.97/111.89  cnf(4836,plain,
% 111.97/111.89     (P2(f2(a3,a1),f5(f2(a3,a3),f4(a1)),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[158,4353,466,2475,4723,495,33,34])).
% 111.97/111.89  cnf(4840,plain,
% 111.97/111.89     (P1(f5(a1,a3),f2(a3,a1),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[158,4778,4353,466,2475,4587,4164,4723,3840,495,33,34,27,32])).
% 111.97/111.89  cnf(4843,plain,
% 111.97/111.89     (~P1(f5(a1,a3),f2(a1,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[158,4676,4778,4353,466,2475,4587,4164,1673,4723,3840,495,33,34,27,32,28])).
% 111.97/111.89  cnf(4845,plain,
% 111.97/111.89     (P2(f2(f4(a1),f4(a1)),f2(a3,a1),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[158,4676,4778,4353,2927,466,2475,4587,4164,1673,4723,3840,495,33,34,27,32,28,37])).
% 111.97/111.89  cnf(4849,plain,
% 111.97/111.89     (~P2(f2(f2(a1,a3),f4(a3)),f2(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[187,158,4676,4778,4769,4353,2927,2668,466,2475,3169,3586,4587,4164,1673,4723,3840,2171,495,33,34,27,32,28,37,36,29])).
% 111.97/111.89  cnf(4852,plain,
% 111.97/111.89     (P1(f2(a3,a3),a1,f2(f2(a3,a1),f2(a3,a1)))),
% 111.97/111.89     inference(scs_inference,[],[187,158,4676,4778,4769,4752,4353,2927,2668,466,2475,3169,3586,4587,3986,4164,1673,4723,3840,2171,495,15,33,34,27,32,28,37,36,29,30])).
% 111.97/111.89  cnf(4858,plain,
% 111.97/111.89     (E(f2(a3,a3),f2(f2(a3,a1),f2(a3,a1)))),
% 111.97/111.89     inference(scs_inference,[],[187,158,4676,4778,4437,4799,4769,4752,4353,2927,2668,466,2475,3169,3586,4587,3986,4164,1673,4723,3840,2171,495,15,33,34,27,32,28,37,36,29,30,26,2])).
% 111.97/111.89  cnf(4859,plain,
% 111.97/111.89     (E(f2(a3,a1),f2(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[187,158,4676,4778,4437,4799,4769,4752,4353,2927,2668,466,2475,3169,2947,3586,4587,3986,4164,1673,4723,3840,2171,495,15,33,34,27,32,28,37,36,29,30,26,2,3])).
% 111.97/111.89  cnf(4862,plain,
% 111.97/111.89     (P1(f5(a3,f2(a3,a3)),f5(a1,a3),f2(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[187,158,154,4676,4806,4778,4437,4799,4769,4752,4353,2927,2668,466,2475,3169,2947,3586,4587,376,3986,4164,1673,2398,4723,3840,2171,495,15,33,34,27,32,28,37,36,29,30,26,2,3,14,9])).
% 111.97/111.89  cnf(4864,plain,
% 111.97/111.89     (P1(f2(a3,a1),f5(f4(a3),f4(a1)),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[187,158,154,4657,4676,4806,4778,4437,4799,4769,4822,4752,4353,2927,2668,466,2475,3169,2947,3586,4587,376,3986,4164,1673,2398,4723,3840,2171,495,15,33,34,27,32,28,37,36,29,30,26,2,3,14,9,10])).
% 111.97/111.89  cnf(4865,plain,
% 111.97/111.89     (E(f5(x48651,a3),f5(x48651,f4(a1)))),
% 111.97/111.89     inference(rename_variables,[],[4822])).
% 111.97/111.89  cnf(4866,plain,
% 111.97/111.89     (~P2(f2(a3,f4(x48661)),f5(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[187,158,154,4657,4676,4806,4778,4437,4799,4769,4822,4752,4353,2927,2668,466,2475,3169,2947,3586,4587,3030,376,3986,4164,1673,2398,4723,3840,2171,495,15,33,34,27,32,28,37,36,29,30,26,2,3,14,9,10,12])).
% 111.97/111.89  cnf(4867,plain,
% 111.97/111.89     (P1(f2(a1,a1),f2(a1,a3),f5(f2(a3,a1),f4(a1)))),
% 111.97/111.89     inference(scs_inference,[],[187,158,154,4657,4676,4680,4806,4778,4437,4799,4769,4822,4865,4752,4353,2927,2668,466,2475,3169,2947,3586,4587,3030,376,3986,4164,1673,2398,4723,3840,2171,495,15,33,34,27,32,28,37,36,29,30,26,2,3,14,9,10,12,11])).
% 111.97/111.89  cnf(4869,plain,
% 111.97/111.89     (~P2(f5(a3,a3),f2(f4(a3),a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[187,158,154,4657,4676,4680,4806,4778,4437,4799,4099,4769,4822,4865,4824,4752,4353,2927,2668,466,2475,3169,2947,3586,4587,3030,376,3986,4164,1673,2398,4723,3840,2171,495,15,33,34,27,32,28,37,36,29,30,26,2,3,14,9,10,12,11,13])).
% 111.97/111.89  cnf(4881,plain,
% 111.97/111.89     (P2(f5(f2(a3,a3),a3),f2(a3,a3),f2(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[4862,4627,4411,2205,1163,824,1869,33,34])).
% 111.97/111.89  cnf(4886,plain,
% 111.97/111.89     (P2(f2(a3,a1),f2(f4(a1),f4(a1)),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[4845,4862,4627,4411,2205,1163,824,1869,33,34,27])).
% 111.97/111.89  cnf(4889,plain,
% 111.97/111.89     (P2(x48891,f5(a3,a3),f5(f2(a3,a1),x48891))),
% 111.97/111.89     inference(rename_variables,[],[3307])).
% 111.97/111.89  cnf(4891,plain,
% 111.97/111.89     (~P2(f2(f2(a3,a1),f2(a3,a1)),f2(a3,a1),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[154,4813,4845,4862,4787,4852,4627,3307,4411,2205,1273,1163,508,824,1869,33,34,27,35,32])).
% 111.97/111.89  cnf(4899,plain,
% 111.97/111.89     (P2(f2(a3,a3),f5(f2(a3,a1),f4(a1)),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[154,4813,4845,4862,4810,4787,4867,4514,4852,4627,4606,4670,4680,726,3307,4889,4411,4671,2205,1273,1163,508,824,1869,33,34,27,35,32,28,37,36])).
% 111.97/111.89  cnf(4901,plain,
% 111.97/111.89     (~P2(f2(f2(a3,a1),f5(a3,a3)),f2(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[154,4813,4845,4862,4810,4787,4867,4514,4852,4627,2544,4606,4670,4680,3376,726,3307,4889,4411,4671,2205,1273,1163,508,824,1869,33,34,27,35,32,28,37,36,29])).
% 111.97/111.89  cnf(4903,plain,
% 111.97/111.89     (P1(f5(f5(a3,a3),f5(a1,a3)),a1,f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[158,154,4813,4845,4862,4810,4787,4867,4514,4852,4627,2544,4606,4670,4680,3376,2107,726,3307,4889,4411,2696,3489,4671,2205,1273,1163,508,824,1869,33,34,27,35,32,28,37,36,29,31])).
% 111.97/111.89  cnf(4908,plain,
% 111.97/111.89     (P1(f2(a3,a1),f5(a1,a3),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[158,154,4813,4845,4862,4810,4787,4867,4514,4852,4627,2544,4606,4670,4680,3376,2107,726,3307,4889,4411,2696,3489,4671,2205,3504,1273,1163,508,824,1869,33,34,27,35,32,28,37,36,29,31,30])).
% 111.97/111.89  cnf(4910,plain,
% 111.97/111.89     (P1(f5(a1,a3),f5(a3,a3),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[158,154,4813,4845,4862,4810,4787,4867,4514,4852,4627,2544,4606,4670,4680,3376,2107,726,3307,4889,4411,2696,3489,4671,2205,3504,1273,1163,508,824,1869,33,34,27,35,32,28,37,36,29,31,30,26])).
% 111.97/111.89  cnf(4913,plain,
% 111.97/111.89     (~E(f2(a3,a3),f5(f2(a6,a7),f2(a3,a1)))),
% 111.97/111.89     inference(scs_inference,[],[158,154,4813,4845,4859,4862,4810,4787,4867,3368,4514,4852,4627,2544,4606,4670,4680,3376,3200,2107,726,3307,4889,4411,2696,3489,4671,2205,3504,1273,1163,508,824,1869,33,34,27,35,32,28,37,36,29,31,30,26,2,3])).
% 111.97/111.89  cnf(4915,plain,
% 111.97/111.89     (P2(f5(f2(a3,a3),f2(a3,a3)),f2(a3,a1),f2(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[191,158,154,4687,4813,4845,4859,4862,4810,4787,4867,3368,4514,3023,4852,4627,2544,4606,4670,4680,3376,3200,2107,726,3307,4889,4411,2696,3489,4671,2205,3504,1273,1163,508,824,1869,33,34,27,35,32,28,37,36,29,31,30,26,2,3,9,14])).
% 111.97/111.89  cnf(4918,plain,
% 111.97/111.89     (P2(f4(a1),f2(a3,a3),f2(f2(a3,a1),f2(a3,a1)))),
% 111.97/111.89     inference(scs_inference,[],[147,191,187,158,154,4687,4813,4845,4859,4862,4810,4787,4867,3368,4514,3023,4852,4627,4790,2544,4606,4670,4680,3376,3200,2107,726,3307,4889,4411,2696,3482,3489,4671,2205,3504,1273,1163,508,824,1869,33,34,27,35,32,28,37,36,29,31,30,26,2,3,9,14,10,12])).
% 111.97/111.89  cnf(4921,plain,
% 111.97/111.89     (~P2(f2(a3,a1),f2(f2(a3,a1),f2(a3,a3)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[147,191,187,158,154,4687,4813,4845,4859,4862,4802,4810,4787,4867,3368,4514,3023,4852,4627,4790,2544,4606,4670,4680,3376,3200,2188,2107,726,3307,4889,4411,3037,2696,3482,3489,4671,2205,3504,1273,1163,508,824,1869,33,34,27,35,32,28,37,36,29,31,30,26,2,3,9,14,10,12,11,13])).
% 111.97/111.89  cnf(4923,plain,
% 111.97/111.89     (P1(f2(a3,a1),f5(f2(a1,a1),f2(a3,a3)),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[4908,2268,1301,4647,33])).
% 111.97/111.89  cnf(4929,plain,
% 111.97/111.89     (~P2(f2(f2(a3,a1),f2(a3,a3)),f2(a3,a1),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[4908,4921,1442,2268,2977,1301,3880,4647,1742,33,34,27])).
% 111.97/111.89  cnf(4931,plain,
% 111.97/111.89     (P2(f2(a3,a1),f5(a3,a3),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[4908,4921,1442,2268,3198,2977,1301,3880,4647,1134,1742,18,33,34,27,35])).
% 111.97/111.89  cnf(4937,plain,
% 111.97/111.89     (E(f2(a3,a3),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[4908,4921,1442,3922,2268,3198,2977,1301,3880,4647,1134,1742,295,18,33,34,27,35,28])).
% 111.97/111.89  cnf(4940,plain,
% 111.97/111.89     (P2(f4(a1),f2(f4(a3),f4(a3)),f5(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[4700,4908,4921,1442,4430,3922,4280,2268,3198,2977,1301,3880,4647,1134,778,1742,295,18,33,34,27,35,28,37])).
% 111.97/111.89  cnf(4943,plain,
% 111.97/111.89     (P2(f5(a3,a1),f2(a3,a1),f5(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[4700,4908,4921,1442,4430,3922,4280,2268,3198,2977,1301,3880,4322,4647,1134,778,1742,295,358,18,33,34,27,35,28,37,36])).
% 111.97/111.89  cnf(4946,plain,
% 111.97/111.89     (E(f2(a1,a1),f5(f5(a1,a3),a3))),
% 111.97/111.89     inference(scs_inference,[],[4700,4908,4921,1442,4430,3922,4280,2268,3198,2977,4062,1301,3880,4322,4647,1134,3487,778,1742,295,358,18,33,34,27,35,28,37,36,29])).
% 111.97/111.89  cnf(4949,plain,
% 111.97/111.89     (P1(f5(a3,a3),f5(a3,a3),f2(f2(a3,a1),f2(a3,a1)))),
% 111.97/111.89     inference(scs_inference,[],[187,4700,4908,4921,1442,4430,3922,4280,2268,3198,2977,4062,1301,3880,4322,4647,1134,3487,778,1742,472,295,358,1395,18,33,34,27,35,28,37,36,29,31])).
% 111.97/111.89  cnf(4952,plain,
% 111.97/111.89     (P1(f5(a1,a3),f2(a3,a1),f2(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[187,4700,4840,4908,4915,4921,1442,4430,3922,4280,685,2268,3198,2977,4062,1301,3880,4322,3746,4647,1134,3487,778,1742,472,295,358,1395,18,33,34,27,35,28,37,36,29,31,30])).
% 111.97/111.89  cnf(4956,plain,
% 111.97/111.89     (E(f2(f4(a3),f4(a3)),f5(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[187,4700,4840,4908,4915,4921,4843,1442,4430,3922,4280,3824,685,2268,3198,2977,4062,1301,3880,4322,3746,4647,1134,3487,778,1742,472,295,358,1395,18,33,34,27,35,28,37,36,29,31,30,26,2])).
% 111.97/111.89  cnf(4959,plain,
% 111.97/111.89     (P1(f2(f4(a1),a1),f5(a1,a3),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[187,4700,4840,4908,4915,4921,4843,204,4828,1442,4430,3922,4280,3824,685,2268,3198,2977,4062,1301,1277,3880,4322,3746,4647,1134,3487,778,1742,472,295,358,1395,18,33,34,27,35,28,37,36,29,31,30,26,2,3,9])).
% 111.97/111.89  cnf(4961,plain,
% 111.97/111.89     (P2(a3,f5(a3,a1),f2(f5(a1,a3),f5(a1,a3)))),
% 111.97/111.89     inference(scs_inference,[],[187,4700,4840,4908,4915,4921,4843,204,4828,3739,1442,4430,3922,4280,3824,685,2268,3198,2977,4062,2566,1301,1277,3880,4322,3746,4647,1134,3487,778,1742,472,295,358,1395,18,33,34,27,35,28,37,36,29,31,30,26,2,3,9,14])).
% 111.97/111.89  cnf(4963,plain,
% 111.97/111.89     (P1(f5(a1,a3),f5(f4(a1),a3),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[187,4700,4840,4908,4910,4915,4921,4843,204,4821,4828,3739,1442,4430,3922,4280,3824,685,2268,3198,2977,4062,2566,1301,1277,3880,4322,3746,4647,1134,3487,778,1742,472,295,358,1395,18,33,34,27,35,28,37,36,29,31,30,26,2,3,9,14,10])).
% 111.97/111.89  cnf(4964,plain,
% 111.97/111.89     (E(f5(a3,x49641),f5(f4(a1),x49641))),
% 111.97/111.89     inference(rename_variables,[],[4821])).
% 111.97/111.89  cnf(4965,plain,
% 111.97/111.89     (~P2(f4(a3),f2(a6,a3),f4(a7))),
% 111.97/111.89     inference(scs_inference,[],[187,4700,4840,4908,4910,4915,4921,4843,204,4821,4828,3739,1442,4430,3922,4280,3824,685,3771,1281,2268,3198,2977,4062,2566,1301,1277,3880,4322,3746,4647,1134,3487,778,1742,472,295,358,1395,18,33,34,27,35,28,37,36,29,31,30,26,2,3,9,14,10,12])).
% 111.97/111.89  cnf(4966,plain,
% 111.97/111.89     (P1(f5(a1,a3),f5(a3,a3),f5(f4(a1),a3))),
% 111.97/111.89     inference(scs_inference,[],[187,4700,4840,4908,4910,4915,4921,4843,204,4821,4964,4828,3739,1442,4430,3922,4280,3824,685,3771,1281,2268,3198,2977,4062,2566,1301,1277,3880,4322,3746,4647,1134,3487,778,1742,472,295,358,1395,18,33,34,27,35,28,37,36,29,31,30,26,2,3,9,14,10,12,11])).
% 111.97/111.89  cnf(4968,plain,
% 111.97/111.89     (P2(f5(a3,a3),f4(f4(a1)),a1)),
% 111.97/111.89     inference(scs_inference,[],[187,158,4700,4840,4908,4910,4915,4921,4843,204,4821,4964,4828,3739,4823,1442,4430,3922,4280,3824,685,3771,1281,2268,3198,2977,4062,2566,1301,1277,3880,4322,3746,4647,1134,3487,778,1742,472,295,358,1395,18,33,34,27,35,28,37,36,29,31,30,26,2,3,9,14,10,12,11,13])).
% 111.97/111.89  cnf(4975,plain,
% 111.97/111.89     (P2(f2(a3,a3),f5(f2(a3,a3),a3),f2(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[196,4881,4931,2998,1064,34,27])).
% 111.97/111.89  cnf(4977,plain,
% 111.97/111.89     (P2(f2(a3,a1),a3,a3)),
% 111.97/111.89     inference(scs_inference,[],[196,4881,4931,3256,4503,2998,1064,34,27,35])).
% 111.97/111.89  cnf(4983,plain,
% 111.97/111.89     (~P1(f5(a1,a3),f2(a3,a1),f5(f2(a6,a7),f2(a3,a1)))),
% 111.97/111.89     inference(scs_inference,[],[196,4881,4931,4952,4913,2991,3256,1126,4503,2998,1064,802,34,27,35,32,28])).
% 111.97/111.89  cnf(4985,plain,
% 111.97/111.89     (~P2(f4(f5(a1,a3)),f2(a3,a1),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[196,4881,4931,4952,4913,4542,2991,3256,1126,1211,4088,4503,2998,1064,802,17,34,27,35,32,28,37])).
% 111.97/111.89  cnf(4989,plain,
% 111.97/111.89     (~P1(f5(a1,a3),f2(f4(a1),f4(a1)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[196,4881,4886,4931,4952,4913,4542,2991,3256,4840,1126,1211,4088,4503,2998,1064,802,3288,17,34,27,35,32,28,37,36])).
% 111.97/111.89  cnf(4991,plain,
% 111.97/111.89     (~P2(f5(f2(a3,a3),a3),f2(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[196,4881,4886,4931,4952,4913,4542,2991,3256,4840,1126,4769,1211,4088,4503,2998,1064,802,3288,17,34,27,35,32,28,37,36,29])).
% 111.97/111.89  cnf(4994,plain,
% 111.97/111.89     (~P1(f2(a3,a3),f2(f4(a3),f4(a3)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[196,187,4881,4886,4931,4952,4913,4542,2991,3256,4840,4787,1126,4769,1211,4088,4503,2998,1064,933,802,3288,18,17,34,27,35,32,28,37,36,29,31])).
% 111.97/111.89  cnf(4998,plain,
% 111.97/111.89     (P1(f5(f2(a1,a1),f2(a3,a3)),f2(a3,a1),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[196,187,4881,4886,4923,4931,4952,4913,4542,2991,3256,4840,4787,1126,4769,1211,4088,4503,2998,1064,933,802,3288,18,17,34,27,35,32,28,37,36,29,31,26])).
% 111.97/111.89  cnf(5000,plain,
% 111.97/111.89     (~E(f5(f2(a6,a7),f2(a3,a1)),f2(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[196,187,4881,4886,4923,4931,4952,4913,4542,2991,3256,4840,4787,1126,4769,1211,4088,4503,2998,1064,933,802,3288,18,17,34,27,35,32,28,37,36,29,31,26,2])).
% 111.97/111.89  cnf(5001,plain,
% 111.97/111.89     (E(f2(a3,a3),f2(x50011,f4(x50011)))),
% 111.97/111.89     inference(scs_inference,[],[196,187,4881,4886,4923,4931,4937,4952,4913,4542,2991,3256,1993,4840,4787,1126,4769,1211,4088,4503,2998,1064,933,802,3288,18,17,34,27,35,32,28,37,36,29,31,26,2,3])).
% 111.97/111.89  cnf(5004,plain,
% 111.97/111.89     (P1(f5(f2(a3,a3),f2(a1,a1)),f2(a3,a1),f2(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[196,187,4881,4886,4923,4931,4937,4952,4913,4542,2991,3256,1993,2501,4840,4787,1126,4769,1211,4088,4503,2998,1064,1077,933,802,3288,18,17,34,27,35,32,28,37,36,29,31,26,2,3,14,9])).
% 111.97/111.89  cnf(5007,plain,
% 111.97/111.89     (P1(f2(a3,a1),f2(a1,a1),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[196,187,4881,4886,4923,4931,4937,4952,4913,4542,2991,3256,1993,2501,4564,4840,4787,1126,4769,1211,4088,4503,2998,1064,1077,3189,933,802,3288,18,17,34,27,35,32,28,37,36,29,31,26,2,3,14,9,12,10])).
% 111.97/111.89  cnf(5008,plain,
% 111.97/111.89     (P1(f5(f2(a3,a3),f5(a1,a1)),f2(a3,a3),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[196,187,4881,4886,4923,4931,4937,4952,4913,2888,4542,2991,3256,1993,2501,4564,4840,4787,1126,4769,1211,4088,4503,2998,1064,1077,3189,933,802,3288,18,17,34,27,35,32,28,37,36,29,31,26,2,3,14,9,12,10,11])).
% 111.97/111.89  cnf(5009,plain,
% 111.97/111.89     (~P2(f2(f2(a3,a1),f2(a3,a3)),f2(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[196,187,4881,4886,4923,4931,4937,4952,4913,4929,2888,4542,2991,3256,1993,2501,4564,4840,4787,1126,4769,1211,4088,4503,2998,1064,1077,3189,933,802,3288,18,17,34,27,35,32,28,37,36,29,31,26,2,3,14,9,12,10,11,13])).
% 111.97/111.89  cnf(5012,plain,
% 111.97/111.89     (~P2(f5(a3,a3),f5(a3,a3),f2(a1,a7))),
% 111.97/111.89     inference(scs_inference,[],[196,187,4881,4886,4923,4931,4937,4952,4913,4929,2888,4784,4542,2991,3256,1023,1993,2501,4564,4840,4077,4787,1126,2624,4769,1211,4088,4503,2998,1064,1077,3189,933,277,802,3288,18,17,34,27,35,32,28,37,36,29,31,26,2,3,14,9,12,10,11,13,33,30])).
% 111.97/111.89  cnf(5019,plain,
% 111.97/111.89     (~P2(f2(a3,a3),f5(f2(a3,a3),a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[4991,4217,4949,1601,1452,3420,4910,3169,3487,33,35,27])).
% 111.97/111.89  cnf(5021,plain,
% 111.97/111.89     (P1(a3,a3,f2(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[4975,4991,4217,4949,1601,1452,3420,4910,3169,1027,3487,23,33,35,27,32])).
% 111.97/111.89  cnf(5030,plain,
% 111.97/111.89     (P1(f5(f4(a3),x50301),x50301,x50301)),
% 111.97/111.89     inference(rename_variables,[],[660])).
% 111.97/111.89  cnf(5038,plain,
% 111.97/111.89     (~P1(f2(a3,a1),f5(a1,a3),f5(f2(a6,a7),f2(a3,a1)))),
% 111.97/111.89     inference(scs_inference,[],[4975,4983,4991,4217,4949,4808,4619,4977,3100,1601,1452,3420,4910,1722,3169,1533,4560,2050,1027,3487,4813,1087,660,23,128,33,35,27,32,28,37,36,29,26])).
% 111.97/111.89  cnf(5040,plain,
% 111.97/111.89     (E(f5(f5(a1,a3),a3),f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[4946,4975,4983,4991,4217,4949,4808,4619,4977,3100,1601,1452,3420,4910,1722,3169,1533,4560,2050,1027,3487,4813,1087,660,23,128,33,35,27,32,28,37,36,29,26,2])).
% 111.97/111.89  cnf(5041,plain,
% 111.97/111.89     (~E(f2(x50411,a3),f2(f2(a6,a7),a1))),
% 111.97/111.89     inference(scs_inference,[],[4946,4975,4983,4991,4217,4949,4808,4619,4977,4103,3100,1601,1452,3517,3420,4910,1722,3169,1533,4560,2050,1027,3487,4813,1087,660,23,128,33,35,27,32,28,37,36,29,26,2,3])).
% 111.97/111.89  cnf(5042,plain,
% 111.97/111.89     (P2(f5(a3,a3),f2(a3,a3),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[4946,4975,4983,4991,4217,4949,4808,4619,4977,4352,4103,3100,1601,1452,3517,3420,3327,4910,1722,3169,1533,4560,2050,1027,3487,4813,1087,660,23,128,33,35,27,32,28,37,36,29,26,2,3,14])).
% 111.97/111.89  cnf(5045,plain,
% 111.97/111.89     (P2(f5(f2(a1,a1),f2(a3,a3)),f2(a3,a1),f5(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[191,4946,4975,4983,4991,4217,4949,4943,4808,4619,4977,4352,4103,3100,1601,1452,2044,2580,3517,3420,3327,4910,1722,3169,1533,4560,2050,1027,3487,4813,1087,660,23,128,33,35,27,32,28,37,36,29,26,2,3,14,9,12])).
% 111.97/111.89  cnf(5048,plain,
% 111.97/111.89     (~P1(a1,a3,f2(f2(a6,a1),a7))),
% 111.97/111.89     inference(scs_inference,[],[191,165,4946,4975,4983,4991,4217,4949,4943,4808,4619,4977,4352,4103,3100,1601,1452,2044,2700,2580,3517,3420,3327,4910,1722,3169,1533,4560,1613,2050,1027,3487,4813,1087,660,23,128,33,35,27,32,28,37,36,29,26,2,3,14,9,12,10,11])).
% 111.97/111.89  cnf(5050,plain,
% 111.97/111.89     (~P2(f5(a3,a3),f5(a3,a3),f5(f2(a6,a7),f2(a3,a1)))),
% 111.97/111.89     inference(scs_inference,[],[191,165,4946,4975,4983,4414,4991,4217,4949,4943,4808,4619,4977,4352,4103,3100,1601,1452,2044,2700,2580,3517,3420,3327,4910,1722,3169,1533,4560,1613,2050,1027,3487,4813,1087,660,23,128,33,35,27,32,28,37,36,29,26,2,3,14,9,12,10,11,13])).
% 111.97/111.89  cnf(5055,plain,
% 111.97/111.89     (P1(f2(a3,a1),a1,f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[196,191,165,4946,4975,4983,4414,4991,4217,4949,4943,4808,4619,2639,4977,2969,2175,4352,4390,4103,3100,1601,1452,2044,2700,2580,3517,3420,3327,4910,1722,3169,1533,4560,772,1613,2050,1027,3487,4813,1087,660,5030,23,128,33,35,27,32,28,37,36,29,26,2,3,14,9,12,10,11,13,34,30])).
% 111.97/111.89  cnf(5061,plain,
% 111.97/111.89     (~E(a3,a1)),
% 111.97/111.89     inference(scs_inference,[],[5041,6])).
% 111.97/111.89  cnf(5063,plain,
% 111.97/111.89     (P1(f2(a1,a1),f2(a3,a3),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[4899,5041,4867,4582,4671,6,33])).
% 111.97/111.89  cnf(5065,plain,
% 111.97/111.89     (P2(f2(a1,a3),f2(f5(a1,a1),f2(a3,a3)),f2(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[4899,5041,5021,2603,4867,4582,4671,6,33,34])).
% 111.97/111.89  cnf(5067,plain,
% 111.97/111.89     (~P1(f2(f2(a3,a1),f2(a3,a1)),f4(a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[154,4899,4782,5041,5021,2603,4867,4582,4042,4671,217,6,33,34,35])).
% 111.97/111.89  cnf(5070,plain,
% 111.97/111.89     (P2(f2(a3,a3),f5(a3,a3),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[154,5042,4899,4782,5041,5021,2603,4867,4582,4042,4671,217,6,33,34,35,27])).
% 111.97/111.89  cnf(5072,plain,
% 111.97/111.89     (P1(f2(a1,a1),f2(a1,a3),f2(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[154,5042,4899,4782,5041,5021,2603,4713,4867,3948,4582,4042,3820,4671,217,6,33,34,35,27,32])).
% 111.97/111.89  cnf(5074,plain,
% 111.97/111.89     (E(f2(a3,f4(x50741)),f2(x50741,a3))),
% 111.97/111.89     inference(scs_inference,[],[154,5042,4899,4782,5041,5021,2603,4713,4867,3948,4582,420,4042,3820,4671,415,217,6,33,34,35,27,32,28])).
% 111.97/111.89  cnf(5080,plain,
% 111.97/111.89     (P2(f5(a3,a3),f5(f4(a1),a3),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[154,187,4966,5042,5012,4899,4782,5041,5021,2603,4713,4867,3318,3948,4582,420,4042,3201,3307,3820,4671,2689,415,217,130,6,33,34,35,27,32,28,36,37])).
% 111.97/111.89  cnf(5083,plain,
% 111.97/111.89     (E(f2(f2(a3,a1),f2(a3,a1)),a3)),
% 111.97/111.89     inference(scs_inference,[],[154,187,4966,5042,5012,4899,4782,5041,5021,2603,4713,4867,3318,3948,4582,420,4042,3201,3307,3820,4671,2689,415,217,265,130,6,33,34,35,27,32,28,36,37,29])).
% 111.97/111.89  cnf(5086,plain,
% 111.97/111.89     (P1(f2(a3,a3),f5(a1,a1),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[154,187,4966,5042,4692,5012,4899,4782,5041,5021,2603,3425,4713,4867,3318,3948,4582,420,4362,4042,3201,3307,3820,4671,2689,415,217,265,130,87,6,33,34,35,27,32,28,36,37,29,30])).
% 111.97/111.89  cnf(5090,plain,
% 111.97/111.89     (P1(f5(f4(a1),a3),f5(a1,a3),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[154,187,4963,4966,5042,4692,5012,4899,4782,5041,5021,2603,3425,4713,4867,3318,3948,4582,420,4362,4042,3201,3307,3820,4671,2689,415,217,265,130,87,6,33,34,35,27,32,28,36,37,29,30,26])).
% 111.97/111.89  cnf(5092,plain,
% 111.97/111.89     (~E(f5(a6,a3),f5(f2(a6,a7),a6))),
% 111.97/111.89     inference(scs_inference,[],[154,187,4963,4966,5042,4692,5012,4899,3984,4782,5041,5021,2603,3425,4713,4867,3318,3948,4582,420,4362,4042,3201,3307,3820,4671,2689,415,217,265,130,87,6,33,34,35,27,32,28,36,37,29,30,26,2])).
% 111.97/111.89  cnf(5093,plain,
% 111.97/111.89     (~E(f2(a6,a7),f5(f2(a3,a3),a3))),
% 111.97/111.89     inference(scs_inference,[],[154,187,4963,4966,5042,4692,5012,4899,3984,4782,5041,5021,2603,3425,4713,3764,4867,4640,3318,3948,4582,420,4362,4042,3201,3307,3820,4671,2689,415,217,265,130,87,6,33,34,35,27,32,28,36,37,29,30,26,2,3])).
% 111.97/111.89  cnf(5095,plain,
% 111.97/111.89     (~E(f2(a3,a1),f2(f5(a6,a3),a7))),
% 111.97/111.89     inference(scs_inference,[],[154,187,4963,4966,5042,4692,5012,4899,3984,2176,4782,5041,5021,2603,3425,4713,3764,4867,4640,3318,3948,4582,420,4362,4042,3201,3307,3820,4671,2689,415,217,265,130,87,6,33,34,35,27,32,28,36,37,29,30,26,2,3,14])).
% 111.97/111.89  cnf(5096,plain,
% 111.97/111.89     (P1(f2(f2(a3,a3),f4(a3)),f2(a1,a1),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[154,187,4963,4966,5007,5042,4692,5012,4899,3984,2176,4782,5041,5021,2603,3425,4713,3764,4867,2382,4640,3318,3948,4582,420,4362,4042,3201,3307,3820,4671,2689,415,217,265,130,87,6,33,34,35,27,32,28,36,37,29,30,26,2,3,14,9])).
% 111.97/111.89  cnf(5097,plain,
% 111.97/111.89     (~P2(f4(a1),f2(a3,a1),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[154,187,4963,4966,5007,5042,4692,5012,4899,3984,4985,2176,4782,5041,5021,2603,3425,4713,3764,4867,2382,644,4640,3318,3948,4582,420,4362,4042,3201,3307,3820,4671,2689,415,217,265,130,87,6,33,34,35,27,32,28,36,37,29,30,26,2,3,14,9,12])).
% 111.97/111.89  cnf(5099,plain,
% 111.97/111.89     (P1(f2(a3,a1),f5(f2(a3,a3),f2(a1,a1)),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[154,187,4963,4966,5007,5042,4692,5012,4899,3984,4985,2176,4782,5041,5021,2603,2446,3425,4713,3764,4867,2382,644,4640,3318,3948,4582,420,4362,4042,3201,3307,3820,4671,2689,415,217,265,130,87,6,33,34,35,27,32,28,36,37,29,30,26,2,3,14,9,12,10])).
% 111.97/111.89  cnf(5100,plain,
% 111.97/111.89     (P1(f5(a3,f2(a1,a1)),f4(a3),f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[154,187,4963,4966,5007,5042,4692,5012,4899,3984,4985,2176,4782,5041,5021,2603,2446,3425,4713,4766,3764,4867,2382,644,4640,3318,3948,4582,420,874,4362,4042,3201,3307,3820,4671,2689,415,217,265,130,87,6,33,34,35,27,32,28,36,37,29,30,26,2,3,14,9,12,10,11])).
% 111.97/111.89  cnf(5102,plain,
% 111.97/111.89     (P2(f5(a3,a3),f2(x51021,f4(x51021)),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[154,187,4963,4966,5001,5007,5042,4692,5012,4899,3984,4985,2176,4782,5041,5021,2603,2446,3425,4713,4766,3764,4867,2382,644,4640,3318,3948,4582,420,874,4362,4042,3201,3307,3820,4671,2689,415,217,265,130,87,6,33,34,35,27,32,28,36,37,29,30,26,2,3,14,9,12,10,11,13])).
% 111.97/111.89  cnf(5107,plain,
% 111.97/111.89     (P1(f2(a1,a1),f2(a3,a1),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[5072,2878,33])).
% 111.97/111.89  cnf(5112,plain,
% 111.97/111.89     (~P2(f5(f4(a1),f5(a3,a3)),f2(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[4998,5072,5045,5097,4515,1189,1241,321,2878,15,33,34,35])).
% 111.97/111.89  cnf(5126,plain,
% 111.97/111.89     (~P2(f2(a3,a3),f5(a3,a3),f2(f5(a6,a3),a7))),
% 111.97/111.89     inference(scs_inference,[],[4998,5063,5070,5072,5102,5038,5009,5045,5095,5097,3850,4355,4515,3367,1189,3378,3835,1241,1064,321,2878,16,15,33,34,35,27,32,28,36,29])).
% 111.97/111.89  cnf(5134,plain,
% 111.97/111.89     (~P2(f2(f5(a3,a3),a1),f2(a3,a1),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[154,187,4998,5063,5070,5072,5080,5090,5102,5038,5009,5045,5095,4796,5097,5055,3850,2746,4355,3599,4515,3367,1969,1189,3378,3835,1241,1064,321,2878,500,626,16,15,33,34,35,27,32,28,36,29,37,31,30])).
% 111.97/111.89  cnf(5138,plain,
% 111.97/111.89     (E(f2(f2(a3,a3),f2(a3,a3)),f2(x51381,a3))),
% 111.97/111.89     inference(scs_inference,[],[154,187,4998,5063,5070,5072,5080,5090,5102,5038,4989,5009,5045,5095,4796,5097,5055,3850,2746,4355,4709,3599,4515,3367,1969,2633,1189,3378,3835,1241,1064,321,2878,500,626,16,15,33,34,35,27,32,28,36,29,37,31,30,26,3])).
% 111.97/111.89  cnf(5140,plain,
% 111.97/111.89     (E(f2(x51401,a3),f2(a3,f4(x51401)))),
% 111.97/111.89     inference(scs_inference,[],[154,187,4998,5063,5070,5072,5080,5090,5102,5038,4989,5009,5045,5095,4796,5097,5074,5055,3850,2746,4355,4709,3599,4515,3367,1969,2633,1189,3378,3835,1241,1064,321,2878,500,626,16,15,33,34,35,27,32,28,36,29,37,31,30,26,3,2])).
% 111.97/111.89  cnf(5141,plain,
% 111.97/111.89     (P1(f2(a1,a1),f2(a3,a1),f2(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[154,187,4998,5004,5063,5070,5072,5080,5090,5102,5038,4989,5009,5045,5095,4796,5097,5074,5055,3850,2746,4355,4709,3599,4515,3367,1969,2333,2633,1189,3378,3835,1241,1064,321,2878,500,626,16,15,33,34,35,27,32,28,36,29,37,31,30,26,3,2,9])).
% 111.97/111.89  cnf(5142,plain,
% 111.97/111.89     (~P2(f5(a3,a3),f5(a3,a3),f2(f2(a1,a6),a7))),
% 111.97/111.89     inference(scs_inference,[],[154,187,4998,5004,5063,5070,5072,5080,5090,5102,5038,4989,5009,5045,5095,4796,5097,5074,5055,3850,2746,4355,4709,3599,4515,3367,1969,2333,2633,1189,3378,3835,1241,1664,1064,321,2878,500,626,16,15,33,34,35,27,32,28,36,29,37,31,30,26,3,2,9,14])).
% 111.97/111.89  cnf(5144,plain,
% 111.97/111.89     (~P2(f2(a3,f2(a3,a3)),f2(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[154,187,4998,5004,5063,5070,5072,5080,5090,5102,5038,4989,5009,5045,5095,4796,5097,5074,5055,3850,2746,4355,4709,3599,4515,3367,1969,2333,2633,894,1189,3378,3835,1241,1664,1064,321,2878,500,626,16,15,33,34,35,27,32,28,36,29,37,31,30,26,3,2,9,14,12])).
% 111.97/111.89  cnf(5146,plain,
% 111.97/111.89     (P1(f2(a1,a1),f2(f4(a3),a3),f2(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[154,187,4998,5004,5063,5070,5072,5080,5090,5102,5038,4989,5009,5045,5095,4796,5097,5074,5055,3850,2746,4355,4709,1831,3599,4515,3367,1969,2333,2633,894,1189,3378,3835,1241,1664,1064,321,2878,500,626,16,15,33,34,35,27,32,28,36,29,37,31,30,26,3,2,9,14,12,10])).
% 111.97/111.89  cnf(5148,plain,
% 111.97/111.89     (~E(f5(a3,a3),a7)),
% 111.97/111.89     inference(scs_inference,[],[154,187,4998,5004,5063,5070,5072,5080,5090,5102,5038,4989,5009,5045,5095,4796,5097,5074,4698,5055,3850,2746,4355,4709,1831,3599,4515,3367,1969,2333,2633,894,1189,3378,3835,1241,1664,1064,321,2878,500,626,16,15,33,34,35,27,32,28,36,29,37,31,30,26,3,2,9,14,12,10,11])).
% 111.97/111.89  cnf(5151,plain,
% 111.97/111.89     (P1(a1,f5(a3,a1),f5(f2(a1,a1),f2(a3,a3)))),
% 111.97/111.89     inference(scs_inference,[],[2413,5045,1955,1064,33])).
% 111.97/111.89  cnf(5156,plain,
% 111.97/111.89     (P2(f2(f5(a3,a1),f2(a3,a3)),f5(a1,a3),f5(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[2937,2413,5045,3769,5021,1955,1064,3480,2311,295,33,34,35])).
% 111.97/111.89  cnf(5160,plain,
% 111.97/111.89     (P2(f2(f5(a1,a1),f2(a3,a3)),f2(a1,a3),f2(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[5065,2937,2413,5045,3769,5021,1955,1064,3480,2311,295,33,34,35,27])).
% 111.97/111.89  cnf(5162,plain,
% 111.97/111.89     (~P1(f2(a1,a1),f2(a3,a1),f5(f2(a6,a7),f2(a3,a1)))),
% 111.97/111.89     inference(scs_inference,[],[5141,5000,5065,2937,2413,5045,3769,5021,1955,1064,3480,2311,295,33,34,35,27,28])).
% 111.97/111.89  cnf(5164,plain,
% 111.97/111.89     (~P2(f2(a3,a3),f2(a6,a7),f2(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[5141,5000,5065,2937,2413,4706,5045,3769,5021,1955,1064,3480,2311,3288,295,358,33,34,35,27,28,36])).
% 111.97/111.89  cnf(5167,plain,
% 111.97/111.89     (~P2(f5(f2(a6,a7),f2(a6,a1)),a3,a6)),
% 111.97/111.89     inference(scs_inference,[],[204,5141,5000,5065,2937,2413,4706,5045,3769,5021,1955,374,1064,3480,2311,3288,295,358,33,34,35,27,28,36,29])).
% 111.97/111.89  cnf(5170,plain,
% 111.97/111.89     (P2(a3,f2(f5(a3,a3),f4(a1)),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[204,5141,5000,5065,2937,496,3147,2413,4706,4998,5045,3769,5021,1955,374,1064,3480,2311,1738,3288,295,358,33,34,35,27,28,36,29,37])).
% 111.97/111.89  cnf(5176,plain,
% 111.97/111.89     (P1(f5(f2(a3,a3),f2(a1,a1)),f2(a3,a1),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[204,5099,5141,5000,5065,2937,4836,496,3147,2413,4706,4998,5045,3769,5021,1955,4515,1969,374,1064,3480,2311,1738,3288,295,358,15,33,34,35,27,28,36,29,37,30,26])).
% 111.97/111.89  cnf(5178,plain,
% 111.97/111.89     (~E(f2(f4(x51781),x51781),a7)),
% 111.97/111.89     inference(scs_inference,[],[204,5099,5141,5000,5065,2937,4836,496,5148,3147,2413,4338,4706,4998,5045,3769,5021,1955,4515,1969,374,1064,3480,2311,1738,3288,295,358,15,33,34,35,27,28,36,29,37,30,26,3])).
% 111.97/111.89  cnf(5179,plain,
% 111.97/111.89     (~E(f5(f2(a3,a3),a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[204,5099,5141,5000,5093,5065,2937,4836,496,5148,3147,2413,4338,4706,4998,5045,3769,5021,1955,4515,1969,374,1064,3480,2311,1738,3288,295,358,15,33,34,35,27,28,36,29,37,30,26,3,2])).
% 111.97/111.89  cnf(5182,plain,
% 111.97/111.89     (P2(f4(a3),f2(a1,a3),f4(f4(a1)))),
% 111.97/111.89     inference(scs_inference,[],[204,176,5099,5141,5000,5093,5065,2937,4836,496,5148,3147,2413,4338,4706,4998,5045,3769,4823,5021,1955,4515,1969,2238,374,3482,1064,3480,2311,1738,3288,295,358,15,33,34,35,27,28,36,29,37,30,26,3,2,9,14])).
% 111.97/111.89  cnf(5183,plain,
% 111.97/111.89     (P2(f2(a1,a1),f4(f5(a1,a3)),a1)),
% 111.97/111.89     inference(scs_inference,[],[158,204,176,5040,5099,5141,5000,5093,5065,2937,4836,496,5148,3147,2413,4338,4706,4998,5045,3769,4823,5021,1955,4515,1969,2238,374,3482,1064,3480,2311,1738,3288,295,358,15,33,34,35,27,28,36,29,37,30,26,3,2,9,14,12])).
% 111.97/111.89  cnf(5195,plain,
% 111.97/111.89     (~P2(f2(a3,a1),f2(a3,a1),f5(f2(a6,a7),f2(a3,a1)))),
% 111.97/111.89     inference(scs_inference,[],[5107,5162,408,33])).
% 111.97/111.89  cnf(5198,plain,
% 111.97/111.89     (~P1(f2(a3,a1),f2(a1,a1),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[5107,5162,5134,4574,4164,4322,408,33,34])).
% 111.97/111.89  cnf(5201,plain,
% 111.97/111.89     (P2(f5(f2(a1,a3),a3),f2(a3,a3),f2(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[5107,5162,5134,2552,4574,1979,4164,4322,408,645,33,34,35])).
% 111.97/111.89  cnf(5204,plain,
% 111.97/111.89     (~P2(f2(a3,a1),f2(f5(a3,a3),a1),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[5107,5162,5134,2552,4574,1979,4164,4322,408,645,33,34,35,27])).
% 111.97/111.89  cnf(5206,plain,
% 111.97/111.89     (P1(a1,f2(f5(a1,a3),a1),f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[158,5107,5162,5134,4145,2552,4574,2284,1979,2587,4164,4322,408,645,33,34,35,27,32])).
% 111.97/111.89  cnf(5207,plain,
% 111.97/111.89     (P2(f5(x52071,a3),f4(x52071),a1)),
% 111.97/111.89     inference(rename_variables,[],[158])).
% 111.97/111.89  cnf(5211,plain,
% 111.97/111.89     (E(f2(a3,a1),f2(f2(a1,a1),a3))),
% 111.97/111.89     inference(scs_inference,[],[158,5107,5162,5134,4145,2552,4574,2284,1979,2587,4164,4322,408,645,1266,33,34,35,27,32,28])).
% 111.97/111.89  cnf(5214,plain,
% 111.97/111.89     (~P1(f2(a1,a1),f2(f4(a1),f4(a1)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[158,5107,5162,5134,4145,4886,2552,4574,2284,1979,2587,4164,4322,408,645,1266,3288,33,34,35,27,32,28,36])).
% 111.97/111.89  cnf(5216,plain,
% 111.97/111.89     (E(f5(f5(x52161,a3),f4(x52161)),f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[158,5107,5162,5134,4145,4886,2552,4574,2284,1979,2587,4164,3151,4322,408,645,1205,1266,3288,33,34,35,27,32,28,36,29])).
% 111.97/111.89  cnf(5222,plain,
% 111.97/111.89     (P2(f2(x52221,a3),x52221,x52221)),
% 111.97/111.89     inference(rename_variables,[],[265])).
% 111.97/111.89  cnf(5224,plain,
% 111.97/111.89     (~P2(f2(a3,a1),f2(a3,a1),f2(a1,f2(a6,a7)))),
% 111.97/111.89     inference(scs_inference,[],[158,5107,5162,5134,5164,5086,2148,4145,4886,4975,2552,4574,2284,1979,1458,2587,4164,3151,4322,408,645,1205,1266,1950,3288,265,5222,33,34,35,27,32,28,36,29,37,30])).
% 111.97/111.89  cnf(5227,plain,
% 111.97/111.89     (P1(a1,f5(a3,a3),f5(f2(a3,a1),f5(a3,a3)))),
% 111.97/111.89     inference(scs_inference,[],[158,5207,5107,5162,5134,5164,5086,2148,4357,4145,4886,4975,5080,2552,4574,2284,1979,1458,2587,4164,3151,4322,408,3307,645,1205,1266,1950,3288,265,5222,33,34,35,27,32,28,36,29,37,30,31])).
% 111.97/111.89  cnf(5229,plain,
% 111.97/111.89     (P2(f5(x52291,a3),f4(x52291),a1)),
% 111.97/111.89     inference(rename_variables,[],[158])).
% 111.97/111.89  cnf(5231,plain,
% 111.97/111.89     (~P1(f2(a3,a1),f2(a1,a1),f5(f2(a6,a7),f2(a3,a1)))),
% 111.97/111.89     inference(scs_inference,[],[158,5207,5107,5162,5134,5164,5086,2148,4357,4145,4886,4975,5080,2552,4574,2284,1979,1458,2587,4164,3151,4322,408,3307,645,1205,1266,1950,3288,265,5222,33,34,35,27,32,28,36,29,37,30,31,26])).
% 111.97/111.89  cnf(5235,plain,
% 111.97/111.89     (E(f2(x52351,a3),f2(f2(a3,a3),f2(a3,a3)))),
% 111.97/111.89     inference(scs_inference,[],[158,5207,204,5107,5162,5134,5164,5086,5138,2148,4357,4145,4886,4975,5080,2552,4574,2284,1979,1511,1458,2587,4164,3151,4322,408,3307,645,1205,1266,1950,3288,265,5222,33,34,35,27,32,28,36,29,37,30,31,26,3,2])).
% 111.97/111.89  cnf(5239,plain,
% 111.97/111.89     (~P2(f2(f2(a3,a3),f2(a3,a3)),f2(a6,a7),f2(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[158,5207,204,5107,5162,5134,5164,5086,4858,5138,4961,2148,4357,4145,4886,4975,5080,2552,4574,2284,2723,1979,1511,1458,2587,4164,3151,4322,408,3307,645,1205,1266,1950,3288,265,5222,33,34,35,27,32,28,36,29,37,30,31,26,3,2,9,14,12])).
% 111.97/111.89  cnf(5240,plain,
% 111.97/111.89     (E(f2(f2(a3,a3),f2(a3,a3)),f2(x52401,a3))),
% 111.97/111.89     inference(rename_variables,[],[5138])).
% 111.97/111.89  cnf(5241,plain,
% 111.97/111.89     (P1(a3,f2(x52411,a3),f2(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[158,5207,204,5107,5162,5134,5164,5086,4858,5138,5240,4961,2148,4357,4145,4886,4975,5080,2552,4574,1925,2284,2723,1979,1511,1458,2587,4164,3151,4322,408,3307,645,1205,1266,1950,3288,265,5222,33,34,35,27,32,28,36,29,37,30,31,26,3,2,9,14,12,10])).
% 111.97/111.89  cnf(5242,plain,
% 111.97/111.89     (P1(f5(a3,a3),f5(a3,a1),a3)),
% 111.97/111.89     inference(scs_inference,[],[158,5207,204,5107,5162,5134,5164,5086,4858,4740,5138,5240,4961,2148,5083,4357,4145,4886,4975,5080,2552,4574,1925,2284,2723,1979,1511,1458,2587,4164,3151,4322,408,3307,645,1205,1266,1950,3288,265,5222,33,34,35,27,32,28,36,29,37,30,31,26,3,2,9,14,12,10,11])).
% 111.97/111.89  cnf(5243,plain,
% 111.97/111.89     (P2(f5(x52431,a3),f4(f2(x52431,a1)),a1)),
% 111.97/111.89     inference(scs_inference,[],[158,5207,5229,204,5107,5162,5134,5164,5086,4858,4740,5138,5240,4961,2148,5083,4357,4145,4886,4975,5080,896,2552,4574,1925,2284,2723,1979,1511,1458,2587,4164,3151,4322,408,3307,645,1205,1266,1950,3288,265,5222,33,34,35,27,32,28,36,29,37,30,31,26,3,2,9,14,12,10,11,13])).
% 111.97/111.89  cnf(5245,plain,
% 111.97/111.89     (~P2(a3,f2(a3,a1),f2(a7,a6))),
% 111.97/111.89     inference(scs_inference,[],[1115,4396,876,1395,33])).
% 111.97/111.89  cnf(5248,plain,
% 111.97/111.89     (P1(x52481,x52482,x52483)+~P1(x52481,x52484,x52485)+~P2(x52486,x52485,x52483)+~P2(x52487,x52484,x52482)+~P1(x52481,x52487,x52486)),
% 111.97/111.89     inference(rename_variables,[],[33])).
% 111.97/111.89  cnf(5249,plain,
% 111.97/111.89     (~P1(f2(f2(a3,a1),f2(a3,a1)),a1,f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[187,2959,1115,4396,4852,876,2720,1395,33,35])).
% 111.97/111.89  cnf(5255,plain,
% 111.97/111.89     (P2(f2(f5(x52551,a3),a1),f2(x52551,a3),f5(x52551,a3))),
% 111.97/111.89     inference(rename_variables,[],[4452])).
% 111.97/111.89  cnf(5257,plain,
% 111.97/111.89     (~P1(f5(a3,a3),f5(x52571,f4(x52571)),a1)),
% 111.97/111.89     inference(scs_inference,[],[187,5050,5156,2959,1115,2795,5061,4396,4852,3597,4452,876,2720,3201,1395,33,35,27,36,28])).
% 111.97/111.89  cnf(5265,plain,
% 111.97/111.89     (P1(f5(a1,a3),f2(a1,a1),f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[187,5050,5239,5156,2959,1115,2795,4589,5241,5061,4396,4852,5148,3597,4255,2390,4574,4452,5255,876,1948,2720,3201,2311,1395,33,35,27,36,28,29,37,30])).
% 111.97/111.89  cnf(5269,plain,
% 111.97/111.89     (P1(f2(f4(a3),a3),f2(a1,a1),f2(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[187,5146,5050,5239,5156,2959,1115,2795,4589,5241,5061,4396,4852,5148,3597,4255,2390,4574,4452,5255,876,1948,2720,3201,2311,1395,33,35,27,36,28,29,37,30,26])).
% 111.97/111.89  cnf(5271,plain,
% 111.97/111.89     (E(f5(f5(a3,a3),a1),f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[187,5146,5050,5239,5156,2959,1115,5216,2795,4589,5241,5061,4396,4852,443,5148,3597,4255,2390,4574,4452,5255,876,1948,2720,3201,2311,1395,33,35,27,36,28,29,37,30,26,3])).
% 111.97/111.89  cnf(5273,plain,
% 111.97/111.89     (E(f5(x52731,a1),f5(x52731,f4(a3)))),
% 111.97/111.89     inference(rename_variables,[],[443])).
% 111.97/111.89  cnf(5274,plain,
% 111.97/111.89     (~E(f2(a6,a7),f2(f4(a3),f2(a3,a1)))),
% 111.97/111.89     inference(scs_inference,[],[187,5146,5050,5239,5156,2959,4424,1115,5216,2795,4589,5241,5061,4396,4852,443,5148,3597,4255,2390,4574,4452,5255,876,1948,2720,3201,2311,1395,33,35,27,36,28,29,37,30,26,3,2])).
% 111.97/111.89  cnf(5279,plain,
% 111.97/111.89     (~P2(a3,f2(a1,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[205,187,5146,5050,5239,4717,5156,2959,4424,1115,5216,2795,4589,5241,5061,4396,4852,443,5273,5148,3597,4255,2390,4790,4574,4452,5255,876,1948,1774,2720,3201,2311,1395,33,35,27,36,28,29,37,30,26,3,2,9,14,12])).
% 111.97/111.89  cnf(5280,plain,
% 111.97/111.89     (P1(f2(a1,a1),f2(f2(a3,a3),f2(a3,a3)),f2(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[205,187,5146,5050,5239,4717,5156,2959,4424,1115,5216,5235,2795,4589,5241,5061,4396,4852,443,5273,5148,3597,4255,2390,4790,4574,4452,5255,876,1948,1774,2720,3201,2311,1395,33,35,27,36,28,29,37,30,26,3,2,9,14,12,10])).
% 111.97/111.89  cnf(5281,plain,
% 111.97/111.89     (E(f2(x52811,a3),f2(f2(a3,a3),f2(a3,a3)))),
% 111.97/111.89     inference(rename_variables,[],[5235])).
% 111.97/111.89  cnf(5282,plain,
% 111.97/111.89     (P1(f5(a3,a1),f5(a1,a3),f5(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[205,187,5146,5050,5239,4717,5156,2959,4424,1772,1115,5216,5235,2795,4589,5241,5061,4396,4852,443,5273,5148,3597,4255,2390,4790,1749,4574,4452,5255,876,1948,1774,2720,3201,2311,1395,33,35,27,36,28,29,37,30,26,3,2,9,14,12,10,11])).
% 111.97/111.89  cnf(5283,plain,
% 111.97/111.89     (~P2(f2(a3,a3),f2(x52831,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[205,187,5146,5050,5239,4121,4717,5156,2959,4424,1772,1115,5216,5235,5281,2795,4589,5241,5061,4396,4852,443,5273,5148,3597,4255,2390,4790,1749,4574,4452,5255,876,1948,1774,2720,3201,2311,1395,33,35,27,36,28,29,37,30,26,3,2,9,14,12,10,11,13])).
% 111.97/111.89  cnf(5291,plain,
% 111.97/111.89     (P1(f5(a3,a3),f5(a3,a3),f5(a3,a3))+~P1(f2(a3,a3),f2(a3,a3),f2(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[165,205,187,5146,5050,5239,4121,4717,5156,2959,4424,1772,1115,5216,5235,5281,2795,4589,5241,1079,5061,4899,4396,4852,443,5273,5148,3597,4255,2390,4790,1749,4574,4452,5255,876,1948,1774,2720,3201,321,2311,754,1395,230,33,35,27,36,28,29,37,30,26,3,2,9,14,12,10,11,13,5248,34,32])).
% 111.97/111.89  cnf(5296,plain,
% 111.97/111.89     (P1(a1,f2(f2(a3,a1),f2(a3,a1)),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[187,5170,496,17,33])).
% 111.97/111.89  cnf(5299,plain,
% 111.97/111.89     (P2(f2(a1,a3),f2(a1,f2(a1,a3)),f2(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[187,5170,2833,496,5021,17,33,34])).
% 111.97/111.89  cnf(5310,plain,
% 111.97/111.89     (P1(f5(a3,a1),f5(f5(a1,a3),f5(a1,a3)),f5(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[198,187,5144,4675,5170,2833,3015,496,5063,4440,5021,4255,4452,3149,1263,1950,17,33,34,35,27,36,32])).
% 111.97/111.89  cnf(5311,plain,
% 111.97/111.89     (P1(f2(x53111,a1),x53112,f2(x53111,x53112))),
% 111.97/111.89     inference(rename_variables,[],[1263])).
% 111.97/111.89  cnf(5320,plain,
% 111.97/111.89     (P2(f4(a3),f2(a3,a3),f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[198,187,5265,5144,5179,4675,5092,5170,2833,1946,3015,496,5241,5063,4440,5021,4255,4452,3149,374,824,1263,5311,1950,17,33,34,35,27,36,32,28,29,37])).
% 111.97/111.89  cnf(5328,plain,
% 111.97/111.89     (P1(a1,f2(a1,a1),f2(a1,f4(a3)))),
% 111.97/111.89     inference(scs_inference,[],[198,187,5265,5144,5179,4675,5092,5067,5170,2833,1946,3015,4483,496,5241,1889,5063,4440,5021,4255,4452,3149,374,824,1263,5311,1950,500,635,130,17,33,34,35,27,36,32,28,29,37,31,30])).
% 111.97/111.89  cnf(5332,plain,
% 111.97/111.89     (~P1(f2(a1,a1),f2(a3,a1),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[198,187,5265,5144,5198,5179,4675,5092,5067,5170,2833,1946,3015,4483,496,5241,1889,5063,4440,5021,4255,4452,3149,374,824,1263,5311,1950,500,635,130,17,33,34,35,27,36,32,28,29,37,31,30,26])).
% 111.97/111.89  cnf(5337,plain,
% 111.97/111.89     (E(f2(f2(a1,a1),a3),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[198,187,5211,5265,5144,5198,5179,4675,5092,5067,5178,5170,2833,1946,3015,4483,5235,496,5241,1889,5063,4440,5021,4255,4452,3149,374,824,1263,5311,1950,500,635,130,17,33,34,35,27,36,32,28,29,37,31,30,26,3,2])).
% 111.97/111.89  cnf(5339,plain,
% 111.97/111.89     (P2(f4(a3),f2(a3,a1),f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[165,198,187,5211,5265,5144,5198,5179,4675,5092,5067,5178,5170,2833,1946,3015,4483,5216,5235,496,5241,1889,5063,1402,4440,5021,4255,4452,3489,3149,374,824,1263,5311,1950,500,635,130,17,33,34,35,27,36,32,28,29,37,31,30,26,3,2,9,14])).
% 111.97/111.89  cnf(5342,plain,
% 111.97/111.89     (P2(f2(f2(a1,a1),a3),a3,a3)),
% 111.97/111.89     inference(scs_inference,[],[165,198,187,5211,5265,5144,5198,5179,4675,5092,5067,5178,5170,2833,1946,3015,4483,5216,5235,496,5241,4977,1889,5063,1402,4440,5021,4255,4452,3489,3149,374,824,1263,5311,1950,500,635,130,17,33,34,35,27,36,32,28,29,37,31,30,26,3,2,9,14,12])).
% 111.97/111.89  cnf(5350,plain,
% 111.97/111.89     (P2(f2(a3,a1),f2(a3,a3),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[5096,5320,3621,4627,3334,1014,887,33,34])).
% 111.97/111.89  cnf(5358,plain,
% 111.97/111.89     (P2(f2(a3,a3),f5(f2(a1,a3),a3),f2(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[5201,5096,5320,4064,3621,4627,3334,1014,3151,887,2119,415,33,34,35,27])).
% 111.97/111.89  cnf(5360,plain,
% 111.97/111.89     (P2(a1,f2(a3,a1),f5(f5(a1,a3),f5(a1,a3)))),
% 111.97/111.89     inference(scs_inference,[],[5201,5096,5320,4064,1365,3533,3621,3988,4627,3334,1014,3151,1311,887,2119,415,33,34,35,27,36])).
% 111.97/111.89  cnf(5362,plain,
% 111.97/111.89     (~P2(f2(a1,a1),f4(a1),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[2783,5201,5096,5320,4064,5257,1365,3533,3621,3988,3828,4627,3334,1014,3151,1311,887,2119,415,1454,33,34,35,27,36,32])).
% 111.97/111.89  cnf(5367,plain,
% 111.97/111.89     (E(f5(f4(a1),f2(a3,a3)),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[2783,5201,5096,5320,4064,5257,1365,3533,3621,3988,3828,4627,3334,347,1014,3151,1311,887,2119,415,217,1454,33,34,35,27,36,32,28])).
% 111.97/111.89  cnf(5371,plain,
% 111.97/111.89     (E(f2(a1,a1),f5(f5(a3,a3),f4(a3)))),
% 111.97/111.89     inference(scs_inference,[],[2783,5201,5096,5320,5339,4064,5257,1365,3533,3621,3988,3828,4627,3334,347,1014,3151,1311,3489,887,2119,415,217,1454,33,34,35,27,36,32,28,29])).
% 111.97/111.89  cnf(5381,plain,
% 111.97/111.89     (~P2(f2(a3,a3),f2(f5(a1,a3),f5(a3,a3)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[4994,2783,5201,5096,5320,5339,4064,5257,5279,1365,2744,3533,4506,4673,3621,3988,3828,4627,352,3334,3508,347,3980,1014,4153,4515,3151,1311,3489,887,2119,415,217,1454,1950,626,33,34,35,27,36,32,28,29,37,31,30])).
% 111.97/111.89  cnf(5383,plain,
% 111.97/111.89     (P1(f2(f2(a3,a3),f2(a3,a3)),f2(a1,a1),f2(a1,a3))),
% 111.97/111.89     inference(scs_inference,[],[5280,4994,2783,5201,5096,5320,5339,4064,5257,5279,1365,2744,3533,4506,4673,3621,3988,3828,4627,352,3334,3508,347,3980,1014,4153,4515,3151,1311,3489,887,2119,415,217,1454,1950,626,33,34,35,27,36,32,28,29,37,31,30,26])).
% 111.97/111.89  cnf(5386,plain,
% 111.97/111.89     (~E(f5(a3,a3),f2(f5(a7,a3),a1))),
% 111.97/111.89     inference(scs_inference,[],[5280,5337,4994,2783,5201,5096,4036,5320,5339,4064,5257,5279,1365,2744,3533,4506,4673,3146,3621,3988,3828,4627,352,3334,3508,347,3980,1014,4153,4515,3151,1311,3489,887,2119,415,217,1454,1950,626,33,34,35,27,36,32,28,29,37,31,30,26,3,2])).
% 111.97/111.89  cnf(5389,plain,
% 111.97/111.89     (P2(f4(a3),f2(a3,a1),f5(f4(a3),f2(a3,a3)))),
% 111.97/111.89     inference(scs_inference,[],[5280,5337,4994,2783,5201,5096,4036,5320,5339,4064,5257,5279,1365,4812,2744,2745,3533,4506,4673,3146,3621,1155,3988,3828,4627,352,3334,3508,347,3980,1014,4153,4515,3151,1311,3489,887,2119,415,217,1454,1950,626,33,34,35,27,36,32,28,29,37,31,30,26,3,2,9,14])).
% 111.97/111.89  cnf(5390,plain,
% 111.97/111.89     (~P2(f2(x53901,a3),f5(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[5280,5337,4994,2783,5201,5096,4036,4866,5320,5339,5140,4064,5257,5279,1365,4812,2744,2745,3533,4506,4673,3146,3621,1155,3988,3828,4627,352,3334,3508,347,3980,1014,4153,4515,3151,1311,3489,887,2119,415,217,1454,1950,626,33,34,35,27,36,32,28,29,37,31,30,26,3,2,9,14,12])).
% 111.97/111.89  cnf(5392,plain,
% 111.97/111.89     (P1(f2(a3,a1),f5(a1,f4(a1)),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[5280,5337,4994,2783,4864,5201,5096,4036,4866,5320,5339,5140,4064,5257,5279,1365,4812,2744,2745,3533,4506,4673,3146,3621,1155,1403,3988,3828,4627,352,3334,3508,347,3980,1014,4153,4515,3151,1311,3489,887,2119,415,217,1454,1950,626,33,34,35,27,36,32,28,29,37,31,30,26,3,2,9,14,12,10])).
% 111.97/111.89  cnf(5394,plain,
% 111.97/111.89     (P1(f4(a3),f5(a3,a1),f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[5280,5337,4994,2783,5271,4864,5201,5096,4036,4866,5320,5339,5140,4064,5257,5279,1365,4812,2744,2745,3533,4506,4673,3146,3621,1155,1403,3988,3828,4627,352,3334,3508,347,3980,1014,704,4153,4515,3151,1311,3489,887,2119,415,217,1454,1950,626,33,34,35,27,36,32,28,29,37,31,30,26,3,2,9,14,12,10,11])).
% 111.97/111.89  cnf(5398,plain,
% 111.97/111.89     (~P2(f2(a3,a1),f5(f4(a1),f2(a3,a3)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[5392,4615,2198,2107,33])).
% 111.97/111.89  cnf(5401,plain,
% 111.97/111.89     (~P1(f2(x54011,a3),f2(x54011,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[5204,5392,4615,2198,2107,4516,4723,33,34])).
% 111.97/111.89  cnf(5403,plain,
% 111.97/111.89     (P2(f2(f4(a3),f2(a1,a3)),f2(a1,a1),f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[5204,5392,5206,4615,3048,2198,2107,4516,4723,295,33,34,35])).
% 111.97/111.89  cnf(5406,plain,
% 111.97/111.89     (~P2(f2(f5(a1,a3),f5(a3,a3)),f2(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[5381,5204,5392,5206,4615,3048,2198,2107,4516,4723,295,33,34,35,27])).
% 111.97/111.89  cnf(5408,plain,
% 111.97/111.89     (~P2(f5(f2(a3,a3),f2(a1,a1)),f4(a3),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[5176,5381,5204,5392,5206,4615,3048,2198,5257,2107,4516,4723,964,295,1454,33,34,35,27,32])).
% 111.97/111.89  cnf(5417,plain,
% 111.97/111.89     (~P2(f5(a3,a3),f5(a3,a1),f4(a7))),
% 111.97/111.89     inference(scs_inference,[],[5176,5350,5381,5204,5282,5392,4300,5394,5206,4615,3048,5095,2198,3777,5257,2107,4284,4516,4723,964,295,358,1454,33,34,35,27,32,28,29,37])).
% 111.97/111.89  cnf(5429,plain,
% 111.97/111.89     (E(f2(a1,a1),f5(f5(a3,a3),a1))),
% 111.97/111.89     inference(scs_inference,[],[5176,5350,5381,5204,5214,5282,5371,5392,4300,5394,5206,4615,3048,4692,4784,5095,2198,3777,1031,5257,2107,4284,3327,4516,1969,4723,4515,964,2689,295,358,1454,15,33,34,35,27,32,28,29,37,31,30,26,3])).
% 111.97/111.89  cnf(5431,plain,
% 111.97/111.89     (E(f5(a3,a3),f5(f4(a1),f2(a3,a3)))),
% 111.97/111.89     inference(scs_inference,[],[5176,5350,5367,5381,5204,5214,5282,5371,5392,4300,5394,5206,4615,3048,4692,4784,5095,2198,3777,1031,5257,2107,4284,3327,4516,1969,4723,4515,964,2689,295,358,1454,15,33,34,35,27,32,28,29,37,31,30,26,3,2])).
% 111.97/111.89  cnf(5438,plain,
% 111.97/111.89     (P1(f5(a3,a1),f2(f2(a1,a1),f2(a1,a1)),f5(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[181,205,5176,5269,5350,5367,5381,5204,5214,5282,5371,5392,4300,5394,5206,4615,3048,4692,2847,4784,5095,2198,3777,1031,4824,5257,1615,2509,2107,4284,3327,4516,1969,4723,4515,964,2689,295,358,1454,15,33,34,35,27,32,28,29,37,31,30,26,3,2,9,14,12,10])).
% 111.97/111.89  cnf(5439,plain,
% 111.97/111.89     (P1(f4(a3),f5(a3,a1),f5(f5(a3,a3),f4(a3)))),
% 111.97/111.89     inference(scs_inference,[],[181,205,5176,5269,5350,5367,5381,5204,5214,5282,5371,5392,4300,5394,5206,4615,3048,4692,2847,4784,5095,2198,3777,1031,4824,5257,1615,2509,2107,4284,3327,4516,1969,4723,4515,964,2689,295,358,1454,15,33,34,35,27,32,28,29,37,31,30,26,3,2,9,14,12,10,11])).
% 111.97/111.89  cnf(5444,plain,
% 111.97/111.89     (~P1(f5(a3,a1),f2(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[5406,3986,3445,1266,34])).
% 111.97/111.89  cnf(5448,plain,
% 111.97/111.89     (P2(f2(a3,a3),f5(a3,a3),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[5406,5055,4687,735,3986,3445,1266,34,35])).
% 111.97/111.89  cnf(5452,plain,
% 111.97/111.89     (P1(f5(a3,a3),a1,f5(f2(a3,a1),f4(a1)))),
% 111.97/111.89     inference(scs_inference,[],[5406,5299,2795,5055,4615,4687,735,3986,2316,3445,4153,1266,34,35,27,32])).
% 111.97/111.89  cnf(5456,plain,
% 111.97/111.89     (~P1(f5(a1,a1),f5(a3,a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[5406,5299,5274,3073,2795,5055,4615,4687,735,3986,2316,3445,4153,1266,34,35,27,32,28])).
% 111.97/111.89  cnf(5464,plain,
% 111.97/111.89     (~P1(f2(a1,a1),f2(a1,a1),f4(a7))),
% 111.97/111.89     inference(scs_inference,[],[5406,5299,5274,3205,5283,4815,5141,5350,3073,2795,5055,4615,4687,947,5320,735,3986,2316,3445,4153,1266,23,34,35,27,32,28,36,29,37])).
% 111.97/111.89  cnf(5471,plain,
% 111.97/111.89     (~P2(f2(a1,a3),f2(f5(a3,a3),f2(a3,a3)),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[5358,5383,5406,5299,5274,3205,5283,4815,2210,5141,5350,3073,2795,5055,4615,4687,947,5320,735,2839,2390,3986,1979,2316,3445,4153,408,1266,23,34,35,27,32,28,36,29,37,31,30])).
% 111.97/111.89  cnf(5475,plain,
% 111.97/111.89     (~E(f2(a3,a1),f2(f2(a6,a7),a1))),
% 111.97/111.89     inference(scs_inference,[],[5358,5383,5406,4512,5299,5274,3205,5283,4815,2210,5141,5337,5350,3073,2795,5055,4615,4687,5041,947,5320,735,2839,2390,3986,1979,2316,3445,4153,408,1266,23,34,35,27,32,28,36,29,37,31,30,26,3])).
% 111.97/111.89  cnf(5479,plain,
% 111.97/111.89     (E(f5(x54791,f2(x54791,a3)),x54791)),
% 111.97/111.89     inference(rename_variables,[],[1200])).
% 111.97/111.89  cnf(5480,plain,
% 111.97/111.89     (P2(f2(a1,a1),f5(a3,a3),f2(a1,a1))),
% 111.97/111.89     inference(scs_inference,[],[176,5358,5383,5406,4512,5299,5274,3205,5283,4815,2210,5141,5337,5350,4460,3073,1404,2795,5055,4615,4687,5041,947,5320,735,2839,2390,3986,1979,2316,3445,1200,4153,408,1266,23,34,35,27,32,28,36,29,37,31,30,26,3,2,9,14])).
% 111.97/111.89  cnf(5482,plain,
% 111.97/111.89     (P2(f5(f2(a3,a3),a3),f2(a3,a3),f2(a3,a1))),
% 111.97/111.89     inference(scs_inference,[],[176,5358,5383,5406,4512,5299,5274,3205,5283,4815,2210,5141,5337,5350,4460,3073,4147,1404,2795,5055,4615,4687,5041,947,5320,735,2839,2390,3986,1979,2316,3445,1200,4153,408,1266,23,34,35,27,32,28,36,29,37,31,30,26,3,2,9,14,12])).
% 111.97/111.89  cnf(5484,plain,
% 111.97/111.89     (~P1(f2(a1,a1),f2(f2(a1,a1),a3),f2(a6,a7))),
% 111.97/111.89     inference(scs_inference,[],[176,5358,5383,5332,5406,4512,5299,5274,3205,5283,4815,2210,5141,5337,5350,4460,3073,4147,1404,2795,5055,4615,4687,5041,947,5320,735,2839,2390,3986,1979,2316,3445,1200,4153,408,1266,23,34,35,27,32,28,36,29,37,31,30,26,3,2,9,14,12,10])).
% 111.97/111.89  cnf(5489,plain,
% 111.97/111.89     (P1(f5(a3,a3),f5(a3,a3),f5(a3,a3))),
% 111.97/111.89     inference(scs_inference,[],[176,211,5358,5383,5332,5406,4512,5299,5274,3205,5283,4815,2210,5141,5337,5350,4460,3073,4147,1404,4828,2795,5055,4615,4687,5041,947,5320,735,2839,2390,3986,1979,2316,3445,1200,5479,4153,408,1266,23,34,35,27,32,28,36,29,37,31,30,26,3,2,9,14,12,10,11,13,5291])).
% 111.97/111.89  cnf(5490,plain,
% 111.97/111.90     (~P1(f5(a3,a3),f5(a3,a3),a7)),
% 111.97/111.90     inference(scs_inference,[],[176,211,5358,5383,5332,5406,4512,5299,5274,3205,5283,4815,2210,5141,5337,5350,4460,3073,4147,1404,4828,2795,5055,4615,4687,5041,947,5320,735,2839,2390,3986,1979,2316,3445,1200,5479,4153,408,1266,23,34,35,27,32,28,36,29,37,31,30,26,3,2,9,14,12,10,11,13,5291,4458])).
% 111.97/111.90  cnf(5491,plain,
% 111.97/111.90     (P1(f2(a3,a1),f2(a3,a1),f2(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[176,211,5358,5383,5332,5406,4512,5299,5274,3205,5283,4815,2210,5141,5337,5350,4460,3073,4147,1404,4828,2795,5055,4615,4687,5041,947,5320,735,2839,2390,3986,1979,2316,3445,1200,5479,4153,408,1266,23,34,35,27,32,28,36,29,37,31,30,26,3,2,9,14,12,10,11,13,5291,4458,4048])).
% 111.97/111.90  cnf(5492,plain,
% 111.97/111.90     (P1(a3,a3,a3)),
% 111.97/111.90     inference(scs_inference,[],[176,211,5358,5383,5332,5406,4512,5299,5274,3205,5283,4815,2210,5141,5337,5350,4460,3073,4147,1404,4828,2795,5055,4615,4687,5041,947,5320,735,2839,2390,3986,1979,2316,3445,1200,5479,4153,408,1266,23,34,35,27,32,28,36,29,37,31,30,26,3,2,9,14,12,10,11,13,5291,4458,4048,2655])).
% 111.97/111.90  cnf(5496,plain,
% 111.97/111.90     (P1(f2(x54961,a3),f2(x54961,a3),f2(x54961,a3))),
% 111.97/111.90     inference(scs_inference,[],[176,211,217,5358,5383,5332,5406,4512,5299,5274,3205,5283,4815,2210,5141,5337,5350,4460,3073,4147,1404,4828,2795,5055,4615,4687,5041,947,5320,735,2839,2390,3986,1979,2316,3445,1200,5479,4153,408,1266,23,34,35,27,32,28,36,29,37,31,30,26,3,2,9,14,12,10,11,13,5291,4458,4048,2655,33,3778])).
% 111.97/111.90  cnf(5497,plain,
% 111.97/111.90     (P1(f2(x54971,x54971),f2(x54971,x54971),f2(x54971,x54971))),
% 111.97/111.90     inference(scs_inference,[],[5496,3434])).
% 111.97/111.90  cnf(5500,plain,
% 111.97/111.90     (P1(x55001,f4(x55001),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(5505,plain,
% 111.97/111.90     (~P2(f5(f4(a1),f2(a3,a3)),f2(a3,a1),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[217,5398,5496,5328,1352,2137,3147,4328,2133,1134,3434,33,35,27])).
% 111.97/111.90  cnf(5507,plain,
% 111.97/111.90     (P1(f5(a3,a3),f5(f2(a3,a1),f2(a3,a3)),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[217,5448,5398,5496,5328,1352,2137,3147,4328,2133,1134,3307,3434,33,35,27,32])).
% 111.97/111.90  cnf(5508,plain,
% 111.97/111.90     (P2(x55081,f5(a3,a3),f5(f2(a3,a1),x55081))),
% 111.97/111.90     inference(rename_variables,[],[3307])).
% 111.97/111.90  cnf(5511,plain,
% 111.97/111.90     (E(f5(a3,a3),f5(f2(a3,a3),f5(a3,a3)))),
% 111.97/111.90     inference(scs_inference,[],[217,5448,5489,5398,5496,5328,1352,2137,3147,4328,2133,1134,3307,389,3434,33,35,27,32,28])).
% 111.97/111.90  cnf(5514,plain,
% 111.97/111.90     (E(f5(a3,a3),f5(f2(a3,a1),f2(a3,a3)))),
% 111.97/111.90     inference(scs_inference,[],[217,5448,5489,5398,5496,5328,1352,2137,3147,4328,2133,1134,3307,5508,389,3434,33,35,27,32,28,29])).
% 111.97/111.90  cnf(5521,plain,
% 111.97/111.90     (~P2(a1,a7,f4(a7))),
% 111.97/111.90     inference(scs_inference,[],[217,5500,5448,5489,5398,4891,4448,5496,5328,1352,4949,2137,3239,3147,4328,2133,1134,1014,3307,5508,3149,389,1935,3434,33,35,27,32,28,29,36,37])).
% 111.97/111.90  cnf(5524,plain,
% 111.97/111.90     (P1(x55241,f4(x55241),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(5527,plain,
% 111.97/111.90     (P1(x55271,f4(x55271),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(5534,plain,
% 111.97/111.90     (~E(f2(a6,a7),f5(f2(a1,a3),f5(a3,a3)))),
% 111.97/111.90     inference(scs_inference,[],[217,5500,5524,187,5448,5489,5484,5398,4891,3299,4448,5496,5249,5328,1352,4949,1827,2137,3239,3147,2510,2308,4392,4328,2133,1134,1014,3307,5508,3149,389,1935,18,3434,33,35,27,32,28,29,36,37,30,31,26,3])).
% 111.97/111.90  cnf(5536,plain,
% 111.97/111.90     (E(f2(x55361,f4(x55361)),f2(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[217,5500,5524,187,5448,5489,5484,5398,4891,3299,4448,5496,5249,5328,1352,5001,4949,1827,2137,3239,3147,2510,2308,4392,4328,2133,1134,1014,3307,5508,3149,389,1935,18,3434,33,35,27,32,28,29,36,37,30,31,26,3,2])).
% 111.97/111.90  cnf(5538,plain,
% 111.97/111.90     (P1(x55381,f4(x55381),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(5539,plain,
% 111.97/111.90     (~E(f5(a3,a3),f2(f5(a6,a3),a7))),
% 111.97/111.90     inference(scs_inference,[],[217,5500,5524,5527,187,5448,5489,5484,5398,4891,3299,5126,4448,5496,5249,5328,1352,5001,4949,4344,1827,2137,3239,3147,2510,2308,4392,4328,2133,1134,1014,3307,5508,3149,389,1935,18,3434,33,35,27,32,28,29,36,37,30,31,26,3,2,9,14])).
% 111.97/111.90  cnf(5540,plain,
% 111.97/111.90     (~P2(f2(f2(a1,a3),a1),f2(a3,a3),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[217,5500,5524,5527,187,5448,5489,5484,5398,4891,3299,5126,4849,4448,5496,5249,5328,1352,5001,4949,4344,1827,2137,1466,3239,3147,2510,2308,4392,4328,2133,1134,1014,3307,5508,3149,389,1935,18,3434,33,35,27,32,28,29,36,37,30,31,26,3,2,9,14,12])).
% 111.97/111.90  cnf(5542,plain,
% 111.97/111.90     (P1(f5(a3,a3),f5(f4(a1),f2(a3,a3)),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[217,5500,5524,5527,187,5431,5448,5489,5484,5398,4891,3299,5126,4849,4448,5496,5249,5328,1352,5001,4949,4344,1827,2137,1466,3239,3147,2510,2308,4392,4328,2133,1134,1014,3307,5508,3149,389,1935,18,3434,33,35,27,32,28,29,36,37,30,31,26,3,2,9,14,12,10])).
% 111.97/111.90  cnf(5543,plain,
% 111.97/111.90     (P1(x55431,f4(x55431),f5(f4(a1),f2(a3,a3)))),
% 111.97/111.90     inference(scs_inference,[],[217,5500,5524,5527,5538,187,5431,5448,5489,5484,5398,4891,3299,5126,4849,4448,5496,5249,5328,1352,5001,4949,4344,1827,2137,1466,3239,3147,2510,2308,4392,4328,2133,1134,1014,3307,5508,3149,389,1935,18,3434,33,35,27,32,28,29,36,37,30,31,26,3,2,9,14,12,10,11])).
% 111.97/111.90  cnf(5544,plain,
% 111.97/111.90     (P2(f2(a3,a3),f5(f4(a1),f2(a3,a3)),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[217,5500,5524,5527,5538,187,5431,5448,5489,5484,5398,4891,3299,5126,4849,4448,5496,5249,5328,1352,5001,4949,4344,1827,2137,1466,3239,3147,2510,2308,4392,4328,2133,1134,1014,3307,5508,3149,389,1935,18,3434,33,35,27,32,28,29,36,37,30,31,26,3,2,9,14,12,10,11,13])).
% 111.97/111.90  cnf(5550,plain,
% 111.97/111.90     (~P1(f5(a1,a3),f2(a3,a1),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[187,5505,4676,504,5170,3840,4164,17,33,34])).
% 111.97/111.90  cnf(5552,plain,
% 111.97/111.90     (P2(f5(a3,a3),f2(a1,a1),f2(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[187,5480,5505,4676,504,5170,3840,4164,17,33,34,27])).
% 111.97/111.90  cnf(5554,plain,
% 111.97/111.90     (P1(f2(a3,x55541),f2(a3,x55541),f2(a3,x55541))),
% 111.97/111.90     inference(scs_inference,[],[187,5480,5491,5505,4676,504,5170,3840,4164,645,17,33,34,27,32])).
% 111.97/111.90  cnf(5556,plain,
% 111.97/111.90     (~P1(f2(a3,a1),f2(a3,a1),f2(f2(a6,a7),a1))),
% 111.97/111.90     inference(scs_inference,[],[187,5475,5480,5491,5505,4676,504,5170,3840,4164,645,17,33,34,27,32,28])).
% 111.97/111.90  cnf(5563,plain,
% 111.97/111.90     (P2(f5(a3,a3),f5(a3,a3),f5(f2(a3,a1),f4(a1)))),
% 111.97/111.90     inference(scs_inference,[],[217,187,5475,5480,5491,5505,5471,4968,5452,4676,504,5170,968,5021,3840,4164,2316,645,1087,17,33,34,27,32,28,29,36,37])).
% 111.97/111.90  cnf(5564,plain,
% 111.97/111.90     (P1(x55641,f4(x55641),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(5566,plain,
% 111.97/111.90     (P1(a1,f4(a3),f2(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[217,5564,187,5475,5480,5491,5505,5471,4968,5452,4676,504,5170,2754,1145,968,5021,3840,4164,2316,645,1087,17,33,34,27,32,28,29,36,37,30])).
% 111.97/111.90  cnf(5572,plain,
% 111.97/111.90     (P1(f5(f2(a3,a1),f2(a3,a3)),f5(a3,a3),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[219,217,5564,187,5475,5480,5491,5507,5505,5471,4968,5452,1802,4676,2996,504,5170,2754,1145,968,3880,5021,3840,4164,2316,645,1087,17,33,34,27,32,28,29,36,37,30,31,26])).
% 111.97/111.90  cnf(5574,plain,
% 111.97/111.90     (E(f5(x55741,a3),f2(x55741,a1))),
% 111.97/111.90     inference(scs_inference,[],[219,217,5564,187,5475,5480,5491,5507,5505,5471,4968,5452,1802,4676,4024,4030,2996,504,5170,2754,1145,968,3880,5021,3840,4164,2316,645,1087,17,33,34,27,32,28,29,36,37,30,31,26,3])).
% 111.97/111.90  cnf(5577,plain,
% 111.97/111.90     (P1(f5(a3,f2(a3,a3)),f2(a3,a1),f2(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[219,217,5564,187,5475,5480,5491,5507,5505,5471,4968,5452,1802,4676,4024,4030,1231,2996,504,5170,2754,1145,968,3880,5021,3840,4164,2316,645,1087,17,33,34,27,32,28,29,36,37,30,31,26,3,2,9])).
% 111.97/111.90  cnf(5578,plain,
% 111.97/111.90     (E(f2(x55781,a1),f5(a3,f2(x55781,x55781)))),
% 111.97/111.90     inference(rename_variables,[],[1231])).
% 111.97/111.90  cnf(5583,plain,
% 111.97/111.90     (P1(f2(a3,a1),f5(a3,f2(a3,a3)),f2(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[219,196,217,5564,187,5475,5480,5491,5507,5505,5471,4901,4968,5452,1802,4676,4024,4030,1231,5578,2996,504,5170,2754,642,1145,968,2398,3880,5021,3840,4164,2316,645,1087,17,33,34,27,32,28,29,36,37,30,31,26,3,2,9,14,12,10])).
% 111.97/111.90  cnf(5585,plain,
% 111.97/111.90     (~E(a3,f5(a7,a3))),
% 111.97/111.90     inference(scs_inference,[],[219,196,217,5564,187,5475,5480,5491,5492,5507,5505,5471,4901,4968,5452,4528,1802,4676,4024,4030,1231,5578,2996,504,5170,2754,642,1145,968,2398,3880,5021,3840,4164,2316,645,1087,17,33,34,27,32,28,29,36,37,30,31,26,3,2,9,14,12,10,11])).
% 111.97/111.90  cnf(5591,plain,
% 111.97/111.90     (P1(f5(f2(a3,a1),f2(a3,a3)),a3,a3)),
% 111.97/111.90     inference(scs_inference,[],[5572,3076,33])).
% 111.97/111.90  cnf(5593,plain,
% 111.97/111.90     (~P1(a1,a1,f4(a7))),
% 111.97/111.90     inference(scs_inference,[],[5572,3623,3659,3076,2193,33,34])).
% 111.97/111.90  cnf(5595,plain,
% 111.97/111.90     (~P2(f2(a3,a3),f2(f2(a1,a3),a1),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[5572,5540,3623,3659,3076,2193,33,34,27])).
% 111.97/111.90  cnf(5597,plain,
% 111.97/111.90     (~P1(f2(f5(a1,a3),a1),f2(a3,a3),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[5497,5572,5540,5019,3623,3659,4207,3076,2193,292,33,34,27,35])).
% 111.97/111.90  cnf(5598,plain,
% 111.97/111.90     (P1(f2(x55981,x55981),f2(x55981,x55981),f2(x55981,x55981))),
% 111.97/111.90     inference(rename_variables,[],[5497])).
% 111.97/111.90  cnf(5607,plain,
% 111.97/111.90     (P1(f2(x56071,x56071),f2(x56071,x56071),f2(x56071,x56071))),
% 111.97/111.90     inference(rename_variables,[],[5497])).
% 111.97/111.90  cnf(5611,plain,
% 111.97/111.90     (P2(f2(a3,f5(a3,a3)),f2(a1,a1),f2(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[217,5497,5598,5607,5552,5572,5540,5019,4651,3545,3623,3659,4585,2255,4207,3076,2193,292,1395,33,34,27,35,32,28,29,36])).
% 111.97/111.90  cnf(5613,plain,
% 111.97/111.90     (P1(f2(x56131,x56131),f2(x56131,x56131),f2(x56131,x56131))),
% 111.97/111.90     inference(rename_variables,[],[5497])).
% 111.97/111.90  cnf(5618,plain,
% 111.97/111.90     (P1(a1,f2(a3,a3),f2(f2(a3,a1),f2(a3,a1)))),
% 111.97/111.90     inference(scs_inference,[],[217,187,5497,5598,5607,5613,5542,5544,5552,5572,5540,5019,4651,5390,3545,3623,3659,4585,2255,4207,5070,1075,765,3076,2193,292,1395,33,34,27,35,32,28,29,36,37,30])).
% 111.97/111.90  cnf(5623,plain,
% 111.97/111.90     (~P1(f2(a1,a6),f5(a3,a3),f5(f2(a6,a7),a3))),
% 111.97/111.90     inference(scs_inference,[],[217,187,5497,5598,5607,5613,5542,5544,5552,5572,5540,5019,4651,5390,4613,3545,3623,3659,4585,2255,4069,4207,5070,1075,765,3076,2193,292,1395,635,626,33,34,27,35,32,28,29,36,37,30,31])).
% 111.97/111.90  cnf(5627,plain,
% 111.97/111.90     (~P1(f2(a3,a1),f5(a1,a3),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[217,187,5497,5598,5607,5613,5542,5544,5552,5572,5540,5550,5019,4651,5390,4613,3545,3623,3659,4585,2255,4069,4207,5070,1075,765,3076,2193,292,1395,635,626,33,34,27,35,32,28,29,36,37,30,31,26])).
% 111.97/111.90  cnf(5630,plain,
% 111.97/111.90     (E(f5(f2(a3,a3),f5(a3,a3)),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[217,187,5497,5598,5607,5613,5511,5542,5544,5552,5572,5540,5550,5429,5019,4651,5390,4613,3545,3623,3659,4585,2255,4069,4207,5070,1075,1944,765,3076,2193,292,1395,635,626,33,34,27,35,32,28,29,36,37,30,31,26,3,2])).
% 111.97/111.90  cnf(5631,plain,
% 111.97/111.90     (~P1(f5(a3,a3),f2(a3,a1),f2(f2(a6,a7),a1))),
% 111.97/111.90     inference(scs_inference,[],[217,187,5497,5598,5607,5613,5511,5542,5544,5552,5556,5572,5540,5550,5429,5019,4651,5390,4613,3545,3623,5574,3659,4585,2255,4069,4207,5070,1075,1944,765,3076,2193,292,1395,635,626,33,34,27,35,32,28,29,36,37,30,31,26,3,2,9])).
% 111.97/111.90  cnf(5632,plain,
% 111.97/111.90     (E(f5(x56321,a3),f2(x56321,a1))),
% 111.97/111.90     inference(rename_variables,[],[5574])).
% 111.97/111.90  cnf(5633,plain,
% 111.97/111.90     (P2(f2(a3,a3),f5(f4(a1),f2(a3,a3)),f2(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[217,187,5497,5598,5607,5613,5511,5542,5544,5552,5556,5572,5540,5550,5429,5019,4651,5390,4613,3545,3623,5574,5632,3659,4585,2255,4069,4207,5070,1075,1944,765,3076,2193,292,1395,635,626,33,34,27,35,32,28,29,36,37,30,31,26,3,2,9,14])).
% 111.97/111.90  cnf(5634,plain,
% 111.97/111.90     (E(f5(x56341,a3),f2(x56341,a1))),
% 111.97/111.90     inference(rename_variables,[],[5574])).
% 111.97/111.90  cnf(5635,plain,
% 111.97/111.90     (P2(f2(f2(a3,a3),a1),f2(a3,a3),f2(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[217,187,5482,5497,5598,5607,5613,5511,5542,5544,5552,5556,5572,5540,5550,5429,5019,4651,5390,4613,3545,3623,5574,5632,5634,3659,4585,2255,4069,4207,5070,1075,1944,765,3076,2193,292,1395,635,626,33,34,27,35,32,28,29,36,37,30,31,26,3,2,9,14,12])).
% 111.97/111.90  cnf(5638,plain,
% 111.97/111.90     (~P1(a3,a1,f2(f2(a7,a6),a1))),
% 111.97/111.90     inference(scs_inference,[],[219,217,187,5482,5497,5598,5607,5613,5511,5542,5544,5552,5556,5572,5540,5550,5429,5019,4651,5390,4613,3545,3623,5574,5632,5634,3659,4585,2255,3023,4069,4207,5070,1075,1944,3037,765,3076,2193,292,1395,635,626,33,34,27,35,32,28,29,36,37,30,31,26,3,2,9,14,12,10,11])).
% 111.97/111.90  cnf(5642,plain,
% 111.97/111.90     (P1(a3,f5(f4(a3),f2(a3,a3)),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[217,5389,4390,1660,33])).
% 111.97/111.90  cnf(5643,plain,
% 111.97/111.90     (P1(x56431,f4(x56431),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(5646,plain,
% 111.97/111.90     (P2(f5(a3,a3),f5(a1,a3),f5(f5(a1,a3),f2(a3,a3)))),
% 111.97/111.90     inference(scs_inference,[],[217,1355,5389,2616,4390,5489,1660,33,34])).
% 111.97/111.90  cnf(5649,plain,
% 111.97/111.90     (P2(f5(f4(a1),f2(a3,a3)),f2(a3,a3),f2(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[217,5633,1355,5389,2616,4390,5489,1660,33,34,27])).
% 111.97/111.90  cnf(5651,plain,
% 111.97/111.90     (P2(f5(f4(a1),f2(a3,a3)),f5(a3,a3),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[217,5643,5543,5633,1355,5389,2616,4390,5489,1660,383,33,34,27,35])).
% 111.97/111.90  cnf(5652,plain,
% 111.97/111.90     (P1(x56521,f4(x56521),f5(f4(a1),f2(a3,a3)))),
% 111.97/111.90     inference(rename_variables,[],[5543])).
% 111.97/111.90  cnf(5654,plain,
% 111.97/111.90     (P1(x56541,f4(x56541),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(5657,plain,
% 111.97/111.90     (P1(x56571,f4(x56571),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(5661,plain,
% 111.97/111.90     (E(f5(a3,a3),f2(f5(x56611,a3),f4(x56611)))),
% 111.97/111.90     inference(scs_inference,[],[217,5643,5654,5657,5543,5633,1355,5389,2470,2616,4390,5489,1660,833,383,1087,18,33,34,27,35,32,28])).
% 111.97/111.90  cnf(5664,plain,
% 111.97/111.90     (E(f2(x56641,a3),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[217,5643,5654,5657,5543,5633,1355,5389,2470,2616,4390,5489,1660,3826,833,383,3487,1087,18,33,34,27,35,32,28,29])).
% 111.97/111.90  cnf(5670,plain,
% 111.97/111.90     (P1(x56701,f4(x56701),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(5672,plain,
% 111.97/111.90     (~P2(f5(f5(a3,a3),a3),f2(a3,a1),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[217,5643,5654,5657,5543,5633,4053,1355,5389,2470,3535,935,4300,2616,4390,5489,1660,3826,833,383,3487,1087,358,18,17,33,34,27,35,32,28,29,36,37])).
% 111.97/111.90  cnf(5679,plain,
% 111.97/111.90     (P1(f2(a3,a3),f2(a3,a3),f2(f2(a3,a1),f2(a3,a1)))),
% 111.97/111.90     inference(scs_inference,[],[217,5643,5654,5657,187,5543,5633,4053,1355,5554,5389,2470,3535,5482,935,4300,2616,4390,5489,1660,3599,3826,833,4207,383,1969,3487,393,1087,358,18,17,33,34,27,35,32,28,29,36,37,30,31])).
% 111.97/111.90  cnf(5683,plain,
% 111.97/111.90     (P1(f4(x56831),x56831,f5(f4(a1),f2(a3,a3)))),
% 111.97/111.90     inference(scs_inference,[],[217,5643,5654,5657,187,5543,5652,5633,4053,1355,5554,5389,2470,3535,5482,935,4300,2616,4390,5489,1660,3599,3826,833,4207,383,1969,3487,393,1087,358,18,17,33,34,27,35,32,28,29,36,37,30,31,26])).
% 111.97/111.90  cnf(5687,plain,
% 111.97/111.90     (~E(f5(f2(a1,a3),f5(a3,a3)),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[204,217,5643,5654,5657,187,5543,5652,5633,5534,4053,1355,5554,5389,2470,3535,5482,935,4300,2616,4390,5489,2598,1660,3599,3826,833,4207,383,1969,3487,393,1087,358,18,17,33,34,27,35,32,28,29,36,37,30,31,26,3,2])).
% 111.97/111.90  cnf(5688,plain,
% 111.97/111.90     (P1(f2(f4(a3),f4(a3)),f4(a1),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[204,217,5643,5654,5657,5670,187,5543,5652,5633,5534,4053,1355,5554,5389,2470,3535,5482,935,3705,4300,2616,4390,5489,2598,1660,3599,3826,833,4207,383,1969,3487,393,1087,358,18,17,33,34,27,35,32,28,29,36,37,30,31,26,3,2,9])).
% 111.97/111.90  cnf(5689,plain,
% 111.97/111.90     (P1(x56891,f4(x56891),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(5690,plain,
% 111.97/111.90     (P2(f4(a3),f2(a3,a1),f5(a1,a3))),
% 111.97/111.90     inference(scs_inference,[],[204,217,5643,5654,5657,5670,187,5543,5652,5633,5534,4053,1355,5554,5389,2470,3535,5482,935,3705,4300,2616,4390,4667,5489,2598,1660,3599,3826,833,4207,383,1969,3487,393,1087,358,18,17,33,34,27,35,32,28,29,36,37,30,31,26,3,2,9,14])).
% 111.97/111.90  cnf(5692,plain,
% 111.97/111.90     (~P2(f5(a3,f5(a3,a3)),f2(a3,a3),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[204,217,5643,5654,5657,5670,187,5543,5652,5633,5534,4053,5112,1355,5554,5389,2470,3535,5482,935,3705,4300,4821,2616,4390,4667,5489,2598,1660,3599,3826,833,4207,383,1969,3487,393,1087,358,18,17,33,34,27,35,32,28,29,36,37,30,31,26,3,2,9,14,12])).
% 111.97/111.90  cnf(5693,plain,
% 111.97/111.90     (E(f5(a3,x56931),f5(f4(a1),x56931))),
% 111.97/111.90     inference(rename_variables,[],[4821])).
% 111.97/111.90  cnf(5694,plain,
% 111.97/111.90     (P1(f2(a3,a1),f5(f4(a1),f2(a3,a3)),f2(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[204,217,5643,5654,5657,5670,187,5543,5652,5583,5633,5534,4053,5112,1355,5554,5389,2470,3535,5482,935,3705,4300,4821,5693,2616,4390,4667,5489,2598,1660,3599,3826,833,4207,383,1969,3487,393,1087,358,18,17,33,34,27,35,32,28,29,36,37,30,31,26,3,2,9,14,12,10])).
% 111.97/111.90  cnf(5696,plain,
% 111.97/111.90     (P1(x56961,f4(x56961),f5(f2(a3,a1),f2(a3,a3)))),
% 111.97/111.90     inference(scs_inference,[],[204,217,5643,5654,5657,5670,5689,187,5514,5543,5652,5583,5633,5534,4053,5112,1355,5554,5389,2470,3535,5482,935,3705,4300,4821,5693,2616,4390,4667,5489,2598,1660,3599,3826,833,4207,383,1969,3487,393,1087,358,18,17,33,34,27,35,32,28,29,36,37,30,31,26,3,2,9,14,12,10,11])).
% 111.97/111.90  cnf(5697,plain,
% 111.97/111.90     (P2(f4(a1),f5(a1,a3),f5(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[204,217,5643,5654,5657,5670,5689,187,4956,5514,5543,5652,5583,5633,5534,4053,5112,1355,5554,5389,2470,4940,3535,5482,935,3705,4300,4821,5693,2616,4390,4667,5489,2598,1660,3599,3826,833,4207,383,1969,3487,393,1087,358,18,17,33,34,27,35,32,28,29,36,37,30,31,26,3,2,9,14,12,10,11,13])).
% 111.97/111.90  cnf(5699,plain,
% 111.97/111.90     (P1(f4(x56991),x56991,f5(f4(a1),f2(a3,a3)))),
% 111.97/111.90     inference(rename_variables,[],[5683])).
% 111.97/111.90  cnf(5704,plain,
% 111.97/111.90     (P2(f5(f4(a1),f2(a3,a3)),a3,a3)),
% 111.97/111.90     inference(scs_inference,[],[224,217,5683,5699,3302,3367,3487,22,33,34])).
% 111.97/111.90  cnf(5706,plain,
% 111.97/111.90     (P1(f4(x57061),x57061,f5(f4(a1),f2(a3,a3)))),
% 111.97/111.90     inference(rename_variables,[],[5683])).
% 111.97/111.90  cnf(5713,plain,
% 111.97/111.90     (P1(f5(a1,a3),f5(f5(a1,a3),f5(a1,a3)),f5(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[224,217,5683,5699,5672,5690,5360,4832,5566,3048,3302,5045,3367,2363,3487,22,33,34,27,35,32])).
% 111.97/111.90  cnf(5715,plain,
% 111.97/111.90     (~P1(f2(a3,a3),f2(a3,f2(a3,a1)),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[224,217,5683,5699,5672,5690,5360,4832,5566,5497,5283,3048,3302,5045,3367,1189,2363,3487,22,33,34,27,35,32,36])).
% 111.97/111.90  cnf(5726,plain,
% 111.97/111.90     (~P2(f5(f4(a1),f2(a3,a3)),f2(a6,a3),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[224,217,5224,5683,5699,5706,5672,4537,5697,5690,3090,5360,4832,5566,5585,5497,5283,3048,3302,5045,3777,5496,4977,3367,1189,4723,2363,3487,824,22,33,34,27,35,32,36,28,29,37,30])).
% 111.97/111.90  cnf(5731,plain,
% 111.97/111.90     (P1(a1,a1,f5(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[224,217,5224,5683,5699,5706,5672,4537,5697,5690,3090,5360,4832,5566,5585,4700,5497,5283,3048,4940,3302,5045,3777,5496,4977,3367,1211,1189,4723,2363,3487,824,22,33,34,27,35,32,36,28,29,37,30,31])).
% 111.97/111.90  cnf(5737,plain,
% 111.97/111.90     (E(f2(x57371,f4(x57371)),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[224,217,5224,5536,5623,5683,5699,5706,5672,4537,5697,5664,5690,3090,5360,4832,5566,5585,4700,5497,5283,3048,4940,3302,5045,3777,5496,4977,3367,1211,1189,4723,2363,3487,824,22,33,34,27,35,32,36,28,29,37,30,31,26,3])).
% 111.97/111.90  cnf(5738,plain,
% 111.97/111.90     (E(f2(x57381,a3),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[5664])).
% 111.97/111.90  cnf(5740,plain,
% 111.97/111.90     (P1(f5(a3,a3),f2(a3,a3),f2(f2(a3,a1),f2(a3,a1)))),
% 111.97/111.90     inference(scs_inference,[],[224,217,5224,5536,5623,5683,5699,5706,5672,4537,5679,5661,5697,5664,5738,5690,3090,5360,4832,5566,5585,4700,5497,5283,3048,4940,3302,5045,3777,5496,4977,3367,1211,1189,4723,2363,3487,824,22,33,34,27,35,32,36,28,29,37,30,31,26,3,2,9])).
% 111.97/111.90  cnf(5744,plain,
% 111.97/111.90     (~P2(f5(f2(a3,a3),f5(a3,a3)),f2(a3,a3),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[224,217,5224,5536,5623,5683,5699,5706,5672,5692,4537,5679,5661,5697,5664,5738,5690,3090,5360,4832,5566,5585,4700,5497,5283,3048,4940,3302,5045,3777,2058,5496,1401,4977,3367,1211,1189,4723,2363,3487,824,22,33,34,27,35,32,36,28,29,37,30,31,26,3,2,9,14,12])).
% 111.97/111.90  cnf(5746,plain,
% 111.97/111.90     (P1(f2(a3,a1),f5(a3,a3),f2(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[224,217,5224,5536,5623,5683,5699,5706,5694,5672,5692,4537,5679,5661,5697,5664,5738,5690,3090,5360,4832,5566,5585,4700,5367,5497,5283,3048,4940,3302,5045,3777,2058,5496,1401,4977,3367,1211,1189,4723,2363,3487,824,22,33,34,27,35,32,36,28,29,37,30,31,26,3,2,9,14,12,10])).
% 111.97/111.90  cnf(5755,plain,
% 111.97/111.90     (P2(f5(a3,a1),f5(f2(a1,a3),f2(a1,a3)),f5(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[217,4774,3785,5638,5731,5241,33,34])).
% 111.97/111.90  cnf(5761,plain,
% 111.97/111.90     (P1(f2(x57611,a1),f2(x57611,a1),f2(x57611,a1))),
% 111.97/111.90     inference(scs_inference,[],[217,5635,5417,4774,3785,5638,5731,5492,5241,3147,3480,100,33,34,27,35,32])).
% 111.97/111.90  cnf(5763,plain,
% 111.97/111.90     (~P1(f2(a3,a1),f5(a3,a3),f5(f2(a6,a7),f2(a3,a1)))),
% 111.97/111.90     inference(scs_inference,[],[217,5635,5651,5746,5195,5417,4774,3785,5638,5731,5492,5694,5241,3147,3480,100,33,34,27,35,32,36])).
% 111.97/111.90  cnf(5770,plain,
% 111.97/111.90     (P1(f2(f2(a3,a1),f2(a3,a1)),a3,a3)),
% 111.97/111.90     inference(scs_inference,[],[187,217,5635,5651,5746,5195,5417,4774,3785,5638,5731,5492,5694,4810,2804,1149,1770,3346,5241,3147,2050,3480,100,33,34,27,35,32,36,28,29,30])).
% 111.97/111.90  cnf(5777,plain,
% 111.97/111.90     (P1(f4(x57771),x57771,f5(f2(a3,a1),f2(a3,a3)))),
% 111.97/111.90     inference(scs_inference,[],[187,217,5635,5651,5696,5746,5195,5417,4774,3785,5638,5731,4711,5492,5694,4810,2804,1149,1770,3346,5241,3147,874,693,2050,3480,500,100,33,34,27,35,32,36,28,29,30,37,26])).
% 111.97/111.90  cnf(5779,plain,
% 111.97/111.90     (E(f4(a3),f5(f4(a3),f4(a1)))),
% 111.97/111.90     inference(scs_inference,[],[187,217,5635,5651,5696,5746,5195,5417,4774,3785,5638,5731,4711,5492,5694,4810,2804,1149,4822,3369,1770,3346,5241,3147,874,693,2050,3480,500,100,33,34,27,35,32,36,28,29,30,37,26,3])).
% 111.97/111.90  cnf(5785,plain,
% 111.97/111.90     (~P1(f5(x57851,a3),f4(x57851),f2(a6,a7))),
% 111.97/111.90     inference(rename_variables,[],[226])).
% 111.97/111.90  cnf(5786,plain,
% 111.97/111.90     (P2(f2(a1,a3),f2(a3,a3),f2(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[187,226,217,5635,5649,5651,5696,5737,5746,5195,5539,5417,4774,3785,5638,5731,4711,5492,5694,4810,2804,1882,5697,1149,4822,3369,1770,3346,3698,5241,3147,874,693,2050,3480,500,100,33,34,27,35,32,36,28,29,30,37,26,3,2,14,9,12])).
% 111.97/111.90  cnf(5787,plain,
% 111.97/111.90     (~P1(f5(a3,a3),f5(f4(x57871),x57871),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[187,226,5785,217,5635,5649,5651,5696,5737,5746,5195,5539,5417,4774,3785,5638,5731,4711,5492,5694,4810,2804,1882,5697,1149,4822,1438,3369,1770,3346,3698,5241,3147,874,693,2050,3480,500,100,33,34,27,35,32,36,28,29,30,37,26,3,2,14,9,12,10])).
% 111.97/111.90  cnf(5789,plain,
% 111.97/111.90     (~P1(f5(a3,a3),f2(a3,a1),f5(f2(a6,a7),a3))),
% 111.97/111.90     inference(scs_inference,[],[187,226,5785,217,5631,5635,5649,5651,5696,5737,5746,5195,5539,5417,4774,3785,5638,5731,4711,5492,5694,4810,2804,1882,5697,1149,4822,1438,3369,5574,1770,3346,3698,5241,3147,874,693,2050,3480,500,100,33,34,27,35,32,36,28,29,30,37,26,3,2,14,9,12,10,11])).
% 111.97/111.90  cnf(5790,plain,
% 111.97/111.90     (E(f5(x57901,a3),f2(x57901,a1))),
% 111.97/111.90     inference(rename_variables,[],[5574])).
% 111.97/111.90  cnf(5791,plain,
% 111.97/111.90     (~P2(f2(a3,a3),f5(f2(a1,a3),a3),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[187,226,5785,217,5631,5635,5649,5651,5696,5737,5746,5595,5195,5539,5417,4774,3785,5638,5731,4711,5492,5694,4810,2804,1882,5697,1149,4822,1438,3369,5574,5790,1770,3346,3698,5241,3147,874,693,2050,3480,500,100,33,34,27,35,32,36,28,29,30,37,26,3,2,14,9,12,10,11,13])).
% 111.97/111.90  cnf(5799,plain,
% 111.97/111.90     (P2(f5(a3,a3),f2(a3,a3),f2(a1,a3))),
% 111.97/111.90     inference(scs_inference,[],[217,5563,4862,4963,5080,4910,2205,824,33,34])).
% 111.97/111.90  cnf(5802,plain,
% 111.97/111.90     (P1(x58021,f4(x58021),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(5807,plain,
% 111.97/111.90     (P2(f4(x58071),x58071,f4(a3))),
% 111.97/111.90     inference(rename_variables,[],[802])).
% 111.97/111.90  cnf(5811,plain,
% 111.97/111.90     (~P1(f2(a1,a1),f2(f2(a3,a1),f2(a3,a1)),f2(a7,a6))),
% 111.97/111.90     inference(scs_inference,[],[187,198,217,5791,5563,4472,4862,4963,5080,4910,5063,2205,802,2119,824,495,15,33,34,27,35,36])).
% 111.97/111.90  cnf(5814,plain,
% 111.97/111.90     (E(f5(a3,a1),f5(a1,a3))),
% 111.97/111.90     inference(scs_inference,[],[187,198,217,5791,5563,5713,4472,4862,4963,5080,4910,5063,2205,802,2119,1935,824,495,15,33,34,27,35,36,28])).
% 111.97/111.90  cnf(5817,plain,
% 111.97/111.90     (E(f2(f5(a1,a3),a1),f4(a3))),
% 111.97/111.90     inference(scs_inference,[],[187,198,217,5791,5563,5713,4472,4862,4963,5080,4910,5063,406,2205,802,5807,2119,1935,824,495,15,33,34,27,35,36,28,29])).
% 111.97/111.90  cnf(5822,plain,
% 111.97/111.90     (P1(x58221,f4(x58221),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(5824,plain,
% 111.97/111.90     (P2(a3,f5(f2(a3,a1),f2(a3,a3)),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[187,198,217,5802,5777,5791,5563,5713,4472,4862,4963,3380,5080,3409,4910,5063,406,2205,802,5807,3648,2119,1935,824,495,20,15,33,34,27,35,36,28,29,30,37])).
% 111.97/111.90  cnf(5828,plain,
% 111.97/111.90     (~P2(a3,f5(a3,a3),f2(f2(a6,a1),a7))),
% 111.97/111.90     inference(scs_inference,[],[187,198,217,5802,5822,5777,5791,5563,5713,4472,5048,4862,4963,3380,5080,3409,4910,5063,406,2205,802,5807,3648,449,2119,1935,824,495,20,18,15,33,34,27,35,36,28,29,30,37,31])).
% 111.97/111.90  cnf(5829,plain,
% 111.97/111.90     (P1(x58291,f4(x58291),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(5832,plain,
% 111.97/111.90     (~P1(f2(a3,a1),f5(a3,a3),f5(f2(a6,a7),a3))),
% 111.97/111.90     inference(scs_inference,[],[187,198,217,5802,5822,5777,5789,5791,5563,5713,4472,5048,4862,4963,3380,5080,3409,4910,5063,406,2205,802,5807,3648,449,2119,1935,824,495,20,18,15,33,34,27,35,36,28,29,30,37,31,26])).
% 111.97/111.90  cnf(5834,plain,
% 111.97/111.90     (~E(f2(a3,a3),f2(f2(a6,a7),f2(a1,a1)))),
% 111.97/111.90     inference(scs_inference,[],[187,198,217,5802,5822,5777,5789,5791,5563,5713,4472,5048,3485,4862,4963,3380,5080,1497,3409,4910,5063,406,2205,802,5807,3648,449,2119,1935,824,495,20,18,15,33,34,27,35,36,28,29,30,37,31,26,3])).
% 111.97/111.90  cnf(5836,plain,
% 111.97/111.90     (E(f5(f4(a3),f4(a1)),f4(a3))),
% 111.97/111.90     inference(scs_inference,[],[187,198,217,5802,5822,5777,5789,5791,5563,5713,4472,5779,5048,3485,4862,4963,3380,5080,1497,3409,4910,5063,406,2205,802,5807,3648,449,2119,1935,824,495,20,18,15,33,34,27,35,36,28,29,30,37,31,26,3,2])).
% 111.97/111.90  cnf(5837,plain,
% 111.97/111.90     (P2(f2(a1,a3),f2(a3,a3),f2(x58371,f4(x58371)))),
% 111.97/111.90     inference(scs_inference,[],[187,198,217,5802,5822,5777,5786,5789,5791,5563,5713,4472,5779,5048,3485,4862,4963,3380,1993,5080,1497,3409,4910,5063,406,2205,802,5807,3648,449,2119,1935,824,495,20,18,15,33,34,27,35,36,28,29,30,37,31,26,3,2,14])).
% 111.97/111.90  cnf(5838,plain,
% 111.97/111.90     (~P2(f2(x58381,a3),f2(f4(a3),a3),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[187,198,217,5802,5822,5777,5786,5789,5791,4869,5563,5713,4472,5779,5048,3485,4862,4963,5664,3380,1993,5080,1497,3409,4910,5063,406,2205,802,5807,3648,449,2119,1935,824,495,20,18,15,33,34,27,35,36,28,29,30,37,31,26,3,2,14,12])).
% 111.97/111.90  cnf(5839,plain,
% 111.97/111.90     (P1(f5(a3,a3),f4(f2(x58391,a3)),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[187,198,217,5802,5822,5829,5777,5786,5789,5791,4869,5563,5713,4472,5779,5048,3485,4862,4963,5664,3380,1993,5080,1497,3409,4910,5063,406,2205,802,5807,3648,449,2119,1935,824,495,20,18,15,33,34,27,35,36,28,29,30,37,31,26,3,2,14,12,9])).
% 111.97/111.90  cnf(5840,plain,
% 111.97/111.90     (P1(x58401,f4(x58401),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(5841,plain,
% 111.97/111.90     (P1(a3,f5(f4(a3),f4(a1)),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[187,198,217,5802,5822,5829,5840,5777,5786,5789,5791,4869,5563,5713,4472,5779,5048,3485,4862,4963,5664,3380,1993,5080,1497,3409,4910,5063,406,2205,802,5807,3648,449,2119,1935,824,495,20,18,15,33,34,27,35,36,28,29,30,37,31,26,3,2,14,12,9,10])).
% 111.97/111.90  cnf(5842,plain,
% 111.97/111.90     (P1(x58421,f4(x58421),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(5843,plain,
% 111.97/111.90     (P1(x58431,f4(x58431),f5(f2(a3,a3),f5(a3,a3)))),
% 111.97/111.90     inference(scs_inference,[],[187,198,217,5802,5822,5829,5840,5842,5777,5786,5789,5791,4869,5563,5713,4472,5779,5048,3485,4862,4963,5511,5664,3380,1993,5080,1497,3409,4910,5063,406,2205,802,5807,3648,449,2119,1935,824,495,20,18,15,33,34,27,35,36,28,29,30,37,31,26,3,2,14,12,9,10,11])).
% 111.97/111.90  cnf(5844,plain,
% 111.97/111.90     (P2(f2(a1,a3),f2(f2(a3,a1),f2(a3,a1)),f2(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[187,198,217,5802,5822,5829,5840,5842,5777,5786,5789,5791,4869,5563,5713,4472,5779,5048,3485,4862,4963,5511,4858,5664,3380,1993,5080,1497,3409,4910,5063,406,2205,802,5807,3648,449,2119,1935,824,495,20,18,15,33,34,27,35,36,28,29,30,37,31,26,3,2,14,12,9,10,11,13])).
% 111.97/111.90  cnf(5848,plain,
% 111.97/111.90     (P1(f5(a1,a3),f5(f5(a1,a3),f2(a3,a3)),a1)),
% 111.97/111.90     inference(scs_inference,[],[5646,4966,3547,1145,33])).
% 111.97/111.90  cnf(5851,plain,
% 111.97/111.90     (~P1(f2(a1,a3),f2(a1,a3),f5(f2(a6,a7),a3))),
% 111.97/111.90     inference(scs_inference,[],[5646,5799,4326,4966,3547,5489,1145,33,34])).
% 111.97/111.90  cnf(5856,plain,
% 111.97/111.90     (P1(x58561,f4(x58561),f5(f4(a1),f2(a3,a3)))),
% 111.97/111.90     inference(rename_variables,[],[5543])).
% 111.97/111.90  cnf(5860,plain,
% 111.97/111.90     (P2(f5(a3,a3),f2(f2(a3,a1),f2(a3,a1)),f2(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[217,5646,5799,5726,4918,5296,5618,4326,4966,5543,3547,5489,1145,3151,415,33,34,27,35,36])).
% 111.97/111.90  cnf(5861,plain,
% 111.97/111.90     (P1(x58611,f4(x58611),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(5863,plain,
% 111.97/111.90     (~P1(x58631,f4(x58631),f2(f5(a7,a3),a1))),
% 111.97/111.90     inference(scs_inference,[],[217,5861,5646,5799,5726,5386,4918,5296,5618,4326,4966,5543,3547,5489,1145,3151,415,33,34,27,35,36,28])).
% 111.97/111.90  cnf(5865,plain,
% 111.97/111.90     (~P2(f5(a3,a3),f2(a3,a3),f2(f2(a6,a7),a1))),
% 111.97/111.90     inference(scs_inference,[],[217,5861,5646,5799,5726,5386,4918,5296,5618,4326,4966,5543,3547,5041,5489,1145,3151,415,33,34,27,35,36,28,29])).
% 111.97/111.90  cnf(5873,plain,
% 111.97/111.90     (P1(f5(a3,a3),f5(f2(a3,a1),f4(a3)),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[217,5861,5577,5646,5799,5726,5386,5839,4918,4382,5245,5296,5618,4326,4966,5543,5856,5633,4448,4782,809,1823,3547,3346,5041,5489,1145,3151,415,33,34,27,35,36,28,29,37,30,31])).
% 111.97/111.90  cnf(5877,plain,
% 111.97/111.90     (P1(f4(x58771),x58771,f5(f2(a3,a3),f5(a3,a3)))),
% 111.97/111.90     inference(scs_inference,[],[217,5861,5577,5646,5799,5843,5726,5386,5839,4918,4382,5245,5296,5618,4326,4966,5543,5856,5633,4448,4782,809,1823,3547,3346,5041,5489,1145,3151,415,33,34,27,35,36,28,29,37,30,31,26])).
% 111.97/111.90  cnf(5879,plain,
% 111.97/111.90     (E(f5(a1,f4(a1)),f4(a3))),
% 111.97/111.90     inference(scs_inference,[],[217,5861,5577,5646,5799,5843,5726,5386,5839,4918,5836,4382,5245,5296,5618,4326,4966,5543,5856,5633,4448,4782,809,1833,1823,3547,3346,5041,5489,1145,3151,415,33,34,27,35,36,28,29,37,30,31,26,3])).
% 111.97/111.90  cnf(5888,plain,
% 111.97/111.90     (P1(f5(a3,f2(a3,a3)),f5(a3,a3),f2(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[217,5861,5577,5646,5799,5843,5834,5726,4638,5814,5386,5839,4918,5836,4382,5245,5296,5618,4326,4966,5543,5856,5633,4448,2950,4782,809,893,1746,1833,1823,3547,3346,5041,5489,1145,3151,415,33,34,27,35,36,28,29,37,30,31,26,3,14,2,12,9,10])).
% 111.97/111.90  cnf(5889,plain,
% 111.97/111.90     (P1(f5(a3,f2(a3,a3)),f2(a3,a1),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[217,5861,5577,5646,5799,5843,5834,5726,4638,5814,5386,5839,4918,5836,4382,5245,5296,5618,4326,4966,5543,5856,5633,4448,2950,4782,809,893,1746,1833,1823,3547,3346,5041,5489,1145,3151,415,33,34,27,35,36,28,29,37,30,31,26,3,14,2,12,9,10,11])).
% 111.97/111.90  cnf(5894,plain,
% 111.97/111.90     (~P2(f5(a3,a3),f2(a3,a3),f2(a1,f2(a6,a7)))),
% 111.97/111.90     inference(scs_inference,[],[217,2371,1946,5241,33])).
% 111.97/111.90  cnf(5895,plain,
% 111.97/111.90     (P1(x58951,f4(x58951),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(5898,plain,
% 111.97/111.90     (P2(f2(a1,a3),f5(a1,a3),f5(f5(a1,a3),a3))),
% 111.97/111.90     inference(scs_inference,[],[217,1355,2371,1946,1413,5496,5241,33,34])).
% 111.97/111.90  cnf(5902,plain,
% 111.97/111.90     (~P2(f2(a3,a3),f5(a3,a3),f2(f2(a6,a7),a1))),
% 111.97/111.90     inference(scs_inference,[],[217,5865,1355,2371,1946,1413,5496,5241,33,34,27])).
% 111.97/111.90  cnf(5904,plain,
% 111.97/111.90     (P2(f5(f2(a3,a1),f2(a3,a3)),f5(a3,a3),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[217,5895,5865,5696,1355,2371,1946,1413,5496,5241,383,33,34,27,35])).
% 111.97/111.90  cnf(5907,plain,
% 111.97/111.90     (P1(x59071,f4(x59071),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(5909,plain,
% 111.97/111.90     (~P2(f5(a3,a3),f2(a3,a3),f2(a7,a6))),
% 111.97/111.90     inference(scs_inference,[],[217,5895,5907,5865,5811,5696,1355,4918,2371,1946,1413,5496,5241,383,393,33,34,27,35,32])).
% 111.97/111.90  cnf(5923,plain,
% 111.97/111.90     (P1(f5(x59231,x59232),f5(x59231,x59232),f5(x59231,x59232))),
% 111.97/111.90     inference(scs_inference,[],[196,217,5895,5907,5865,5160,5844,5811,1505,5761,5824,5572,5696,4152,1355,4918,2371,1946,4852,4069,1413,5492,2890,5496,5241,383,374,1969,393,33,34,27,35,32,28,29,30,37,31])).
% 111.97/111.90  cnf(5927,plain,
% 111.97/111.90     (~E(f4(a3),f4(a7))),
% 111.97/111.90     inference(scs_inference,[],[196,217,5895,5907,5865,5787,5160,5844,5811,1505,5761,5817,5824,5572,5696,4152,3724,1355,4918,2371,1946,4852,4069,1413,5492,2890,5496,5241,383,374,1969,393,33,34,27,35,32,28,29,30,37,31,26,3])).
% 111.97/111.90  cnf(5928,plain,
% 111.97/111.90     (E(f4(a3),f5(a1,f4(a1)))),
% 111.97/111.90     inference(scs_inference,[],[196,217,5895,5907,5865,5787,5160,5844,5811,1505,5761,5817,5879,5824,5572,5696,4152,3724,1355,4918,2371,1946,4852,4069,1413,5492,2890,5496,5241,383,374,1969,393,33,34,27,35,32,28,29,30,37,31,26,3,2])).
% 111.97/111.90  cnf(5929,plain,
% 111.97/111.90     (P2(f2(x59291,x59291),f4(x59291),f4(a3))),
% 111.97/111.90     inference(scs_inference,[],[196,217,5895,5907,5865,5787,5160,5844,5811,1505,5761,5817,5879,5824,5572,5696,4152,3724,1355,4918,2371,1946,4145,4852,4069,1413,5492,2890,5496,5241,383,374,1969,393,33,34,27,35,32,28,29,30,37,31,26,3,2,14])).
% 111.97/111.90  cnf(5930,plain,
% 111.97/111.90     (P2(f2(a3,f4(a1)),f2(a3,a1),f2(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[196,217,5895,5907,5865,5787,5160,5844,5811,1505,5761,5817,5879,5824,5572,5696,4152,3724,1355,4918,378,2371,4845,1946,4145,4852,4069,1413,5492,2890,5496,5241,383,374,1969,393,33,34,27,35,32,28,29,30,37,31,26,3,2,14,12])).
% 111.97/111.90  cnf(5947,plain,
% 111.97/111.90     (P1(x59471,f4(x59471),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(5950,plain,
% 111.97/111.90     (P2(f5(a1,f2(a3,a3)),a3,f5(a1,a3))),
% 111.97/111.90     inference(scs_inference,[],[224,217,5923,1591,5877,4767,3487,24,33,34])).
% 111.97/111.90  cnf(5951,plain,
% 111.97/111.90     (P1(f5(x59511,x59512),f5(x59511,x59512),f5(x59511,x59512))),
% 111.97/111.90     inference(rename_variables,[],[5923])).
% 111.97/111.90  cnf(5954,plain,
% 111.97/111.90     (P2(f2(a3,a3),f2(a1,a3),f2(x59541,f4(x59541)))),
% 111.97/111.90     inference(scs_inference,[],[224,217,5837,5923,1591,5877,4767,3487,24,33,34,27])).
% 111.97/111.90  cnf(5956,plain,
% 111.97/111.90     (P2(a3,f5(a3,a3),f5(f4(a1),f2(a3,a3)))),
% 111.97/111.90     inference(scs_inference,[],[224,230,217,5947,5837,5923,1591,5683,5877,4767,876,3487,24,33,34,27,35])).
% 111.97/111.90  cnf(5957,plain,
% 111.97/111.90     (P1(f4(x59571),x59571,f5(f4(a1),f2(a3,a3)))),
% 111.97/111.90     inference(rename_variables,[],[5683])).
% 111.97/111.90  cnf(5958,plain,
% 111.97/111.90     (P1(x59581,f4(x59581),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(5959,plain,
% 111.97/111.90     (P2(f5(x59591,a3),a3,x59591)),
% 111.97/111.90     inference(rename_variables,[],[230])).
% 111.97/111.90  cnf(5962,plain,
% 111.97/111.90     (P1(x59621,x59621,x59621)),
% 111.97/111.90     inference(scs_inference,[],[224,230,5959,217,5947,5837,5923,5951,1591,5683,5877,4767,876,3487,24,33,34,27,35,32])).
% 111.97/111.90  cnf(5963,plain,
% 111.97/111.90     (P1(f5(x59631,x59632),f5(x59631,x59632),f5(x59631,x59632))),
% 111.97/111.90     inference(rename_variables,[],[5923])).
% 111.97/111.90  cnf(5966,plain,
% 111.97/111.90     (P1(a1,x59661,x59661)),
% 111.97/111.90     inference(rename_variables,[],[17])).
% 111.97/111.90  cnf(5968,plain,
% 111.97/111.90     (E(f5(f4(a1),f2(a3,a3)),f2(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[224,230,5959,217,5947,5837,5923,5951,1591,5227,5683,5957,5877,3859,504,4767,876,889,3487,24,17,33,34,27,35,32,36,28])).
% 111.97/111.90  cnf(5971,plain,
% 111.97/111.90     (E(x59711,f5(f5(a3,a3),f5(x59711,a3)))),
% 111.97/111.90     inference(scs_inference,[],[224,230,5959,217,5947,5837,5923,5951,1591,5227,5683,5957,5877,3859,504,4767,876,889,3151,3487,24,17,33,34,27,35,32,36,28,29])).
% 111.97/111.90  cnf(5974,plain,
% 111.97/111.90     (P1(a3,a3,f5(f5(a3,a3),a3))),
% 111.97/111.90     inference(scs_inference,[],[224,230,5959,217,5947,5837,5923,5951,1591,5227,5683,5957,5877,3859,504,4767,876,889,3151,1021,3487,1087,24,17,33,34,27,35,32,36,28,29,31])).
% 111.97/111.90  cnf(5978,plain,
% 111.97/111.90     (P2(f5(x59781,a3),a3,x59781)),
% 111.97/111.90     inference(rename_variables,[],[230])).
% 111.97/111.90  cnf(5983,plain,
% 111.97/111.90     (~P2(f2(f4(a3),a3),f2(a3,a1),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[224,230,5959,217,5947,5837,5888,5923,5951,5963,1591,5838,5490,5227,5683,5957,5877,3859,4774,4232,504,4767,876,889,3151,1021,3487,1266,1087,24,17,5966,33,34,27,35,32,36,28,29,31,30,37])).
% 111.97/111.90  cnf(5989,plain,
% 111.97/111.90     (P1(f5(a3,a3),f5(a3,f2(a3,a3)),f2(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[224,230,5959,217,5947,5837,5888,5923,5951,5963,1591,5838,5490,5227,5683,5957,5877,3859,4774,4232,504,4767,876,889,3151,1021,3487,1266,1087,24,17,5966,33,34,27,35,32,36,28,29,31,30,37,26])).
% 111.97/111.90  cnf(5991,plain,
% 111.97/111.90     (~E(f4(a3),f4(f5(a7,a3)))),
% 111.97/111.90     inference(scs_inference,[],[224,230,5959,217,5947,5837,5888,5923,5951,5963,1591,5838,5490,5227,5927,5683,5957,5877,3859,4774,4232,2700,504,4767,876,889,3151,1021,3487,1266,1087,24,17,5966,33,34,27,35,32,36,28,29,31,30,37,26,3])).
% 111.97/111.90  cnf(5993,plain,
% 111.97/111.90     (~E(f2(a6,a7),f2(f2(a3,a1),a6))),
% 111.97/111.90     inference(scs_inference,[],[224,230,5959,217,5947,5837,5888,5923,5951,5963,1591,5838,5490,3537,5227,5927,5683,5957,5877,3859,4774,4232,2700,504,4767,876,889,3151,1021,3487,1266,1087,24,17,5966,33,34,27,35,32,36,28,29,31,30,37,26,3,2])).
% 111.97/111.90  cnf(5994,plain,
% 111.97/111.90     (P2(f2(a1,a3),f2(a3,a3),f2(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[224,230,5959,217,5947,5837,5888,5923,5951,5963,1591,5838,5490,3537,5227,5927,5536,5683,5957,5877,3859,4774,4232,2700,504,4767,876,889,3151,1021,3487,1266,1087,24,17,5966,33,34,27,35,32,36,28,29,31,30,37,26,3,2,14])).
% 111.97/111.90  cnf(5996,plain,
% 111.97/111.90     (~P2(f2(x59961,a3),a3,f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[224,230,5959,217,5947,5837,5888,5923,5951,5963,1591,5838,5490,3537,5227,3207,5927,5536,5683,5957,5877,3859,5140,4774,4232,2700,504,4767,876,889,3151,1021,3487,1266,1087,24,17,5966,33,34,27,35,32,36,28,29,31,30,37,26,3,2,14,12])).
% 111.97/111.90  cnf(5999,plain,
% 111.97/111.90     (P1(x59991,f4(x59991),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(6000,plain,
% 111.97/111.90     (P1(a3,f5(a1,f4(a1)),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[224,230,5959,217,5947,5958,5999,5837,5888,5923,5951,5963,1591,5838,5490,3537,5928,5227,3207,5927,5536,5683,5957,5877,3859,5140,3525,4774,4232,2700,504,4767,876,889,3151,1021,3487,1266,1087,24,17,5966,33,34,27,35,32,36,28,29,31,30,37,26,3,2,14,12,9,10])).
% 111.97/111.90  cnf(6002,plain,
% 111.97/111.90     (P1(f4(a3),f2(f5(a1,a3),f5(a3,a3)),f2(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[224,230,5959,217,5947,5958,5999,5837,5888,5923,5951,5963,1591,5838,5490,3537,5928,5227,3207,5927,5536,5683,5957,5877,3859,2750,5140,3525,4774,4232,2700,504,4767,876,889,3151,1021,3487,1266,1087,24,17,5966,33,34,27,35,32,36,28,29,31,30,37,26,3,2,14,12,9,10,11])).
% 111.97/111.90  cnf(6005,plain,
% 111.97/111.90     (P2(f5(x60051,a3),f2(f4(x60052),x60052),x60051)),
% 111.97/111.90     inference(scs_inference,[],[224,230,5959,5978,217,5947,5958,5999,5837,5888,5923,5951,5963,1591,5838,5490,3537,5928,5227,3207,5927,5536,5683,5957,5877,3859,2750,5140,3525,837,4774,4232,2700,504,4767,876,889,3151,1021,3487,1266,1087,24,17,5966,33,34,27,35,32,36,28,29,31,30,37,26,3,2,14,12,9,10,11,13])).
% 111.97/111.90  cnf(6008,plain,
% 111.97/111.90     (P1(x60081,f4(x60081),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(6009,plain,
% 111.97/111.90     (P2(f2(x60091,x60091),f4(x60091),f4(a3))),
% 111.97/111.90     inference(rename_variables,[],[5929])).
% 111.97/111.90  cnf(6012,plain,
% 111.97/111.90     (~P2(f2(a3,a3),f5(a3,a3),f2(a1,f2(a6,a7)))),
% 111.97/111.90     inference(scs_inference,[],[217,5894,5863,5929,5241,33,27])).
% 111.97/111.90  cnf(6014,plain,
% 111.97/111.90     (P2(f2(a1,a1),f5(f2(a1,a3),f2(a1,a3)),f2(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[217,5894,5755,5863,5929,2645,3785,5241,33,27,34])).
% 111.97/111.90  cnf(6017,plain,
% 111.97/111.90     (P2(f5(x60171,a3),a3,x60171)),
% 111.97/111.90     inference(rename_variables,[],[230])).
% 111.97/111.90  cnf(6020,plain,
% 111.97/111.90     (~P1(f2(a6,a7),f5(f2(a6,a7),a3),f2(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[196,230,6017,217,5894,5962,5755,5863,5929,6000,2645,5283,2795,3785,5241,1087,33,27,34,35,36])).
% 111.97/111.90  cnf(6022,plain,
% 111.97/111.90     (P1(x60221,x60221,x60221)),
% 111.97/111.90     inference(rename_variables,[],[5962])).
% 111.97/111.90  cnf(6023,plain,
% 111.97/111.90     (P2(f5(x60231,a3),a3,x60231)),
% 111.97/111.90     inference(rename_variables,[],[230])).
% 111.97/111.90  cnf(6026,plain,
% 111.97/111.90     (~P1(f2(a3,a3),f2(a3,a3),f5(f2(a6,a7),a3))),
% 111.97/111.90     inference(scs_inference,[],[196,230,6017,6023,217,5894,5962,5755,5863,5401,5929,6000,2645,5283,2795,3785,5241,508,1087,33,27,34,35,36,32])).
% 111.97/111.90  cnf(6031,plain,
% 111.97/111.90     (~P1(f5(a3,a3),f2(a3,a3),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[196,230,6017,6023,217,5894,5962,5740,5755,5863,5401,5929,6000,2449,2645,5283,2795,3785,5241,508,1087,33,27,34,35,36,32,28])).
% 111.97/111.90  cnf(6033,plain,
% 111.97/111.90     (~P2(f2(a1,a3),f2(a3,a3),f2(f2(a6,a7),f2(a1,a1)))),
% 111.97/111.90     inference(scs_inference,[],[196,230,6017,6023,217,5894,5962,5994,5740,5755,5863,5401,5929,6000,5834,2449,2645,5283,2795,3785,5241,508,1087,33,27,34,35,36,32,28,29])).
% 111.97/111.90  cnf(6035,plain,
% 111.97/111.90     (~P2(f2(f2(a3,a3),f2(a3,a3)),f5(a3,a3),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[196,219,230,6017,6023,217,6008,5894,5962,5994,5740,5755,5863,5401,5929,6000,5834,2449,4678,2645,5283,2795,3785,2390,5241,508,1087,33,27,34,35,36,32,28,29,31])).
% 111.97/111.90  cnf(6036,plain,
% 111.97/111.90     (P1(x60361,f4(x60361),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(6038,plain,
% 111.97/111.90     (~P2(f2(a1,a1),f4(a1),a3)),
% 111.97/111.90     inference(scs_inference,[],[196,219,230,6017,6023,217,6008,6036,5894,5962,6022,5994,5740,5755,5863,5401,5362,5929,6009,6000,5834,2449,4678,2645,5283,2795,3785,2390,5241,508,1087,33,27,34,35,36,32,28,29,31,37])).
% 111.97/111.90  cnf(6041,plain,
% 111.97/111.90     (P1(x60411,x60411,x60411)),
% 111.97/111.90     inference(rename_variables,[],[5962])).
% 111.97/111.90  cnf(6043,plain,
% 111.97/111.90     (P1(f2(a3,a1),f2(a3,a1),f2(f5(a3,a3),a1))),
% 111.97/111.90     inference(scs_inference,[],[196,219,230,6017,6023,217,6008,6036,5889,5894,5962,6022,6041,5994,5740,5755,5863,5401,5362,5929,6009,6000,5834,2449,4678,1638,2645,4585,5283,2795,3785,2390,5241,508,1087,33,27,34,35,36,32,28,29,31,37,30])).
% 111.97/111.90  cnf(6044,plain,
% 111.97/111.90     (P1(x60441,x60441,x60441)),
% 111.97/111.90     inference(rename_variables,[],[5962])).
% 111.97/111.90  cnf(6048,plain,
% 111.97/111.90     (E(f5(a3,f2(a3,a3)),f2(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[196,219,230,6017,6023,217,6008,6036,5889,5894,5962,6022,6041,5968,5994,5715,5740,5755,5863,5401,5362,5929,6009,6000,5834,2449,4678,1638,2645,4585,5283,4821,2795,3785,2390,5241,508,1087,33,27,34,35,36,32,28,29,31,37,30,26,3])).
% 111.97/111.90  cnf(6050,plain,
% 111.97/111.90     (E(f2(a3,a1),f5(f4(a1),f2(a3,a3)))),
% 111.97/111.90     inference(scs_inference,[],[196,219,230,6017,6023,217,6008,6036,5889,5894,5962,6022,6041,5968,5994,5715,5740,5755,5863,5401,5362,5929,6009,6000,5834,2449,4678,1638,2645,4585,5283,4821,2795,3785,2390,5241,508,1087,33,27,34,35,36,32,28,29,31,37,30,26,3,2])).
% 111.97/111.90  cnf(6054,plain,
% 111.97/111.90     (~E(a6,f5(a7,f4(a3)))),
% 111.97/111.90     inference(scs_inference,[],[196,211,219,230,6017,6023,217,6008,6036,5889,5894,5962,6022,6041,6044,5968,5994,5715,5740,5755,5863,5401,5362,5929,6009,6000,1316,5834,2449,4678,1638,2645,4585,4016,5283,4821,2795,3785,1401,2390,5241,508,1087,33,27,34,35,36,32,28,29,31,37,30,26,3,2,14,12,9])).
% 111.97/111.90  cnf(6055,plain,
% 111.97/111.90     (P1(x60551,x60551,x60551)),
% 111.97/111.90     inference(rename_variables,[],[5962])).
% 111.97/111.90  cnf(6056,plain,
% 111.97/111.90     (~E(f2(a1,a3),f5(f2(a6,a7),a3))),
% 111.97/111.90     inference(scs_inference,[],[196,211,219,230,6017,6023,217,6008,6036,5851,5889,5894,5962,6022,6041,6044,6055,5968,5994,5715,5740,5755,5863,5401,5362,5929,6009,6000,1316,5834,2449,4678,1638,2645,4585,4016,5283,4821,2795,3785,1401,2390,5241,508,1087,33,27,34,35,36,32,28,29,31,37,30,26,3,2,14,12,9,11])).
% 111.97/111.90  cnf(6058,plain,
% 111.97/111.90     (P1(f5(a3,a3),f2(a3,a1),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[196,211,219,230,6017,6023,217,6008,6036,5851,5889,5894,5962,6022,6041,6044,6055,5968,5994,5715,5740,5755,5863,5401,5362,5929,6009,6000,1316,5542,5834,2449,4678,1638,2645,4585,4016,5283,4821,2795,3785,1401,2390,5241,508,1087,33,27,34,35,36,32,28,29,31,37,30,26,3,2,14,12,9,11,10])).
% 111.97/111.90  cnf(6062,plain,
% 111.97/111.90     (P2(f4(f5(x60621,a3)),x60621,a1)),
% 111.97/111.90     inference(rename_variables,[],[232])).
% 111.97/111.90  cnf(6063,plain,
% 111.97/111.90     (P1(x60631,x60631,x60631)),
% 111.97/111.90     inference(rename_variables,[],[5962])).
% 111.97/111.90  cnf(6070,plain,
% 111.97/111.90     (P2(f2(x60701,x60701),f4(x60701),f4(a3))),
% 111.97/111.90     inference(rename_variables,[],[5929])).
% 111.97/111.90  cnf(6074,plain,
% 111.97/111.90     (P2(f4(f5(x60741,a3)),x60741,a1)),
% 111.97/111.90     inference(rename_variables,[],[232])).
% 111.97/111.90  cnf(6075,plain,
% 111.97/111.90     (P1(x60751,f4(f5(x60751,a3)),a3)),
% 111.97/111.90     inference(rename_variables,[],[691])).
% 111.97/111.90  cnf(6076,plain,
% 111.97/111.90     (P1(x60761,x60761,x60761)),
% 111.97/111.90     inference(rename_variables,[],[5962])).
% 111.97/111.90  cnf(6079,plain,
% 111.97/111.90     (P2(f5(x60791,a3),a3,x60791)),
% 111.97/111.90     inference(rename_variables,[],[230])).
% 111.97/111.90  cnf(6082,plain,
% 111.97/111.90     (P1(x60821,x60821,x60821)),
% 111.97/111.90     inference(rename_variables,[],[5962])).
% 111.97/111.90  cnf(6090,plain,
% 111.97/111.90     (P2(f4(f5(a1,a3)),f5(a3,a1),f5(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[198,228,232,6062,6074,230,217,5898,6033,4903,4205,5962,6063,6076,4806,5649,5929,6070,2858,360,5731,4361,691,881,3445,265,33,34,27,35,36,29,28,31,37])).
% 111.97/111.90  cnf(6092,plain,
% 111.97/111.90     (P2(f4(f5(x60921,a3)),x60921,a1)),
% 111.97/111.90     inference(rename_variables,[],[232])).
% 111.97/111.90  cnf(6094,plain,
% 111.97/111.90     (P1(f2(a3,a1),f5(a3,a3),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[198,228,232,6062,6074,230,217,5898,6058,6033,4903,4205,5962,6063,6076,4806,5649,5929,6070,2858,360,5731,4361,691,881,3445,265,33,34,27,35,36,29,28,31,37,26])).
% 111.97/111.90  cnf(6100,plain,
% 111.97/111.90     (P2(f5(f4(a1),f2(a3,a3)),f5(a3,a3),a3)),
% 111.97/111.90     inference(scs_inference,[],[198,228,232,6062,6074,230,6079,217,5898,6050,6056,6058,6033,4903,4205,5962,6063,6076,4806,5649,5061,5929,6070,4180,2858,360,5731,4361,691,881,4328,3445,265,33,34,27,35,36,29,28,31,37,26,3,2,14,12])).
% 111.97/111.90  cnf(6102,plain,
% 111.97/111.90     (~P1(f5(x61021,a3),f4(x61021),f2(a6,a7))),
% 111.97/111.90     inference(rename_variables,[],[226])).
% 111.97/111.90  cnf(6107,plain,
% 111.97/111.90     (~P2(f2(a3,a3),f5(a3,f5(a3,a3)),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[198,228,226,6102,232,6062,6074,230,6079,217,5832,5898,6050,6056,6058,6033,4002,4903,4205,5962,6063,6076,4806,4946,5649,5061,5929,6070,5836,4180,2858,360,895,4259,5731,4361,691,881,4328,3445,265,33,34,27,35,36,29,28,31,37,26,3,2,14,12,9,10,11,13])).
% 111.97/111.90  cnf(6109,plain,
% 111.97/111.90     (P1(a1,f4(f5(a3,a3)),a1)),
% 111.97/111.90     inference(scs_inference,[],[198,228,226,6102,232,6062,6074,6092,230,6079,217,5832,5898,6050,6056,6058,6033,4002,4903,4205,5962,6063,6076,6082,4806,4946,5649,5061,5929,6070,5836,4180,2858,360,895,4259,5731,4361,691,6075,881,4328,3445,265,33,34,27,35,36,29,28,31,37,26,3,2,14,12,9,10,11,13,30])).
% 111.97/111.90  cnf(6112,plain,
% 111.97/111.90     (P2(f4(f5(x61121,a3)),x61121,a1)),
% 111.97/111.90     inference(rename_variables,[],[232])).
% 111.97/111.90  cnf(6115,plain,
% 111.97/111.90     (P1(f5(a1,a3),a1,a1)),
% 111.97/111.90     inference(scs_inference,[],[198,228,226,6102,232,6062,6074,6092,6112,230,6079,217,5832,5898,6050,6056,6058,6033,4002,4903,4205,5962,6063,6076,6082,4806,4946,5649,5061,5929,6070,5836,4180,2858,360,895,4259,5731,4361,691,6075,881,4328,3445,824,265,495,33,34,27,35,36,29,28,31,37,26,3,2,14,12,9,10,11,13,30,32])).
% 111.97/111.90  cnf(6123,plain,
% 111.97/111.90     (P1(x61231,x61231,x61231)),
% 111.97/111.90     inference(rename_variables,[],[5962])).
% 111.97/111.90  cnf(6128,plain,
% 111.97/111.90     (P1(x61281,x61281,x61281)),
% 111.97/111.90     inference(rename_variables,[],[5962])).
% 111.97/111.90  cnf(6131,plain,
% 111.97/111.90     (P2(f5(a3,a3),a1,a1)),
% 111.97/111.90     inference(scs_inference,[],[211,232,217,5983,6115,5962,6123,669,1776,1095,1263,33,27,35,36])).
% 111.97/111.90  cnf(6132,plain,
% 111.97/111.90     (P2(f4(f5(x61321,a3)),x61321,a1)),
% 111.97/111.90     inference(rename_variables,[],[232])).
% 111.97/111.90  cnf(6133,plain,
% 111.97/111.90     (P1(x61331,f4(x61331),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(6135,plain,
% 111.97/111.90     (P1(f2(a1,a3),a1,f2(f2(a3,a3),f4(a3)))),
% 111.97/111.90     inference(scs_inference,[],[211,232,6132,217,6133,5983,6115,5962,6123,4881,3621,669,1776,1095,1263,33,27,35,36,32])).
% 111.97/111.90  cnf(6136,plain,
% 111.97/111.90     (P1(x61361,f4(x61361),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(6137,plain,
% 111.97/111.90     (P2(f4(f5(x61371,a3)),x61371,a1)),
% 111.97/111.90     inference(rename_variables,[],[232])).
% 111.97/111.90  cnf(6139,plain,
% 111.97/111.90     (E(f2(a3,f4(x61391)),f2(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[211,232,6132,217,6133,5983,6115,5962,6123,4881,3621,669,2229,1776,1095,1263,1738,33,27,35,36,32,29])).
% 111.97/111.90  cnf(6142,plain,
% 111.97/111.90     (E(a1,f5(a1,f2(a3,a3)))),
% 111.97/111.90     inference(scs_inference,[],[211,232,6132,217,6133,5983,6115,5962,6123,4881,3621,669,1499,2229,1776,1095,1263,1738,33,27,35,36,32,29,28])).
% 111.97/111.90  cnf(6145,plain,
% 111.97/111.90     (P1(f5(a3,a1),a1,f2(f5(a1,a3),a1))),
% 111.97/111.90     inference(scs_inference,[],[211,232,6132,6137,217,6133,5983,6090,6115,3210,5962,6123,4881,3621,669,1499,2229,1776,1095,406,1263,1738,33,27,35,36,32,29,28,31])).
% 111.97/111.90  cnf(6152,plain,
% 111.97/111.90     (~P1(f2(a3,a1),f5(a3,a1),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[211,232,6132,6137,217,6133,5983,4959,6090,6115,6100,5097,3210,5962,6123,6128,4881,5542,3621,669,5697,1499,2229,1776,1095,406,1263,1738,33,27,35,36,32,29,28,31,30,37])).
% 111.97/111.90  cnf(6156,plain,
% 111.97/111.90     (~E(f2(a6,a7),f2(a3,a6))),
% 111.97/111.90     inference(scs_inference,[],[211,232,6132,6137,217,6133,6020,5983,4959,6090,5993,6115,6100,5097,3210,5962,6123,6128,4881,5542,3621,669,5697,1499,2229,1776,894,1095,406,1263,1738,33,27,35,36,32,29,28,31,30,37,26,3])).
% 111.97/111.90  cnf(6158,plain,
% 111.97/111.90     (E(f5(f5(a3,a3),f5(x61581,a3)),x61581)),
% 111.97/111.90     inference(scs_inference,[],[211,232,6132,6137,217,6133,6020,5983,4959,6090,5971,5993,6115,6100,5097,3210,5962,6123,6128,4881,5542,3621,669,5697,1499,2229,1776,894,1095,406,1263,1738,33,27,35,36,32,29,28,31,30,37,26,3,2])).
% 111.97/111.90  cnf(6159,plain,
% 111.97/111.90     (~E(f2(x61591,f4(x61591)),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[211,232,6132,6137,217,6133,5954,6020,5983,4959,6090,5971,5993,6115,6100,5097,3210,5962,6123,6128,4881,5542,3621,669,5697,1499,2229,1776,894,5283,1095,406,1263,1738,33,27,35,36,32,29,28,31,30,37,26,3,2,14])).
% 111.97/111.90  cnf(6161,plain,
% 111.97/111.90     (~P2(f5(a1,f4(a1)),f2(a6,a3),f4(a7))),
% 111.97/111.90     inference(scs_inference,[],[211,232,6132,6137,217,6133,5954,6020,5983,4959,6090,5971,5993,6115,4965,6100,5097,5879,3210,5962,6123,6128,4881,5542,3621,669,5697,1499,2229,1776,894,5283,1095,406,1263,1738,33,27,35,36,32,29,28,31,30,37,26,3,2,14,12])).
% 111.97/111.90  cnf(6162,plain,
% 111.97/111.90     (P1(f5(f5(a3,a3),f5(x61621,a3)),f4(x61621),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[211,232,6132,6137,217,6133,6136,5954,6020,5983,4959,6090,5971,5993,6115,4965,6100,5097,5879,3210,5962,6123,6128,4881,5542,3621,669,5697,1499,2229,1776,894,5283,1095,406,1263,1738,33,27,35,36,32,29,28,31,30,37,26,3,2,14,12,9])).
% 111.97/111.90  cnf(6163,plain,
% 111.97/111.90     (E(x61631,f5(f5(a3,a3),f5(x61631,a3)))),
% 111.97/111.90     inference(rename_variables,[],[5971])).
% 111.97/111.90  cnf(6164,plain,
% 111.97/111.90     (P1(f5(a3,a3),f2(a3,a1),f2(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[211,232,6132,6137,217,6133,6136,5954,5989,6048,6020,5983,4959,6090,5971,5993,6115,4965,6100,5097,5879,3210,5962,6123,6128,4881,5542,3621,669,5697,1499,2229,1776,894,5283,1095,406,1263,1738,33,27,35,36,32,29,28,31,30,37,26,3,2,14,12,9,10])).
% 111.97/111.90  cnf(6165,plain,
% 111.97/111.90     (P1(x61651,f4(x61651),f2(f5(x61652,a3),f4(x61652)))),
% 111.97/111.90     inference(scs_inference,[],[211,232,6132,6137,217,6133,6136,5954,5989,6048,6020,5983,4959,6090,5971,5993,6115,4965,6100,5661,5097,5879,3210,5962,6123,6128,4881,5542,3621,669,5697,1499,2229,1776,894,5283,1095,406,1263,1738,33,27,35,36,32,29,28,31,30,37,26,3,2,14,12,9,10,11])).
% 111.97/111.90  cnf(6166,plain,
% 111.97/111.90     (P2(f5(x61661,a3),f5(f5(a3,a3),f5(a3,a3)),x61661)),
% 111.97/111.90     inference(scs_inference,[],[211,232,6132,6137,230,217,6133,6136,5954,5989,6048,6020,5983,4959,6090,5971,6163,5993,6115,4965,6100,5661,5097,5879,3210,5962,6123,6128,4881,5542,3621,669,5697,1499,2229,1776,894,5283,1095,406,1263,1738,33,27,35,36,32,29,28,31,30,37,26,3,2,14,12,9,10,11,13])).
% 111.97/111.90  cnf(6173,plain,
% 111.97/111.90     (~P2(f5(a3,a3),f5(f2(a3,a3),f2(a3,a3)),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[230,6094,1386,1301,33])).
% 111.97/111.90  cnf(6174,plain,
% 111.97/111.90     (P2(f5(x61741,a3),a3,x61741)),
% 111.97/111.90     inference(rename_variables,[],[230])).
% 111.97/111.90  cnf(6178,plain,
% 111.97/111.90     (P2(f4(f5(x61781,a3)),x61781,a1)),
% 111.97/111.90     inference(rename_variables,[],[232])).
% 111.97/111.90  cnf(6179,plain,
% 111.97/111.90     (P1(x61791,f4(x61791),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(6182,plain,
% 111.97/111.90     (P2(f5(a3,a3),f5(f2(a3,a1),f2(a3,a3)),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[232,230,217,5904,6094,5909,1386,1301,15,33,34,27])).
% 111.97/111.90  cnf(6184,plain,
% 111.97/111.90     (P2(f2(f5(x61841,a3),f4(x61841)),f5(a3,a3),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[232,230,217,6179,5904,6094,5909,6165,1386,1301,277,15,33,34,27,35])).
% 111.97/111.90  cnf(6187,plain,
% 111.97/111.90     (P1(x61871,f4(x61871),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(6192,plain,
% 111.97/111.90     (~P2(f5(a3,a3),f2(a3,a1),f5(f2(a6,a7),a3))),
% 111.97/111.90     inference(scs_inference,[],[232,230,217,6179,6187,5904,6094,5909,6165,3910,2472,1386,4416,5690,1301,2856,277,358,15,33,34,27,35,36,32])).
% 111.97/111.90  cnf(6196,plain,
% 111.97/111.90     (P2(f5(x61961,a3),a3,x61961)),
% 111.97/111.90     inference(rename_variables,[],[230])).
% 111.97/111.90  cnf(6198,plain,
% 111.97/111.90     (~P1(f2(a3,a1),f2(a3,a1),a7)),
% 111.97/111.90     inference(scs_inference,[],[204,232,230,6174,217,6179,6187,5904,6043,6094,5909,6165,3910,2472,1386,4450,4416,5690,1301,2856,277,358,15,33,34,27,35,36,32,29,28])).
% 111.97/111.90  cnf(6200,plain,
% 111.97/111.90     (P1(f4(a3),f2(a1,a1),f4(a3))),
% 111.97/111.90     inference(scs_inference,[],[204,232,230,6174,217,6179,6187,5904,6043,6094,5909,6165,3910,2472,1386,4450,4416,5690,5929,1301,792,2856,277,295,358,15,33,34,27,35,36,32,29,28,31])).
% 111.97/111.90  cnf(6215,plain,
% 111.97/111.90     (E(f5(f5(a3,a3),f5(a3,a3)),f4(a1))),
% 111.97/111.90     inference(scs_inference,[],[204,232,6178,230,6174,217,6179,6187,5904,6043,6094,5008,5909,6165,6158,655,3910,5860,2472,1386,4450,4416,2744,5690,5929,2453,4790,1301,792,2856,277,1969,295,19,358,15,17,33,34,27,35,36,32,29,28,31,30,37,26,3])).
% 111.97/111.90  cnf(6216,plain,
% 111.97/111.90     (E(f5(f5(a3,a3),f5(x62161,a3)),x62161)),
% 111.97/111.90     inference(rename_variables,[],[6158])).
% 111.97/111.90  cnf(6217,plain,
% 111.97/111.90     (~E(f2(a6,a7),f2(x62171,f4(x62171)))),
% 111.97/111.90     inference(scs_inference,[],[204,232,6178,230,6174,217,6179,6187,5904,6043,6094,6159,5008,5909,6165,6158,655,3910,5860,2472,1386,4450,4416,2744,5690,5929,2453,4790,1301,792,2856,277,1969,295,19,358,15,17,33,34,27,35,36,32,29,28,31,30,37,26,3,2])).
% 111.97/111.90  cnf(6218,plain,
% 111.97/111.90     (~E(f5(a6,a3),f5(f2(a6,a7),f2(a6,a1)))),
% 111.97/111.90     inference(scs_inference,[],[204,232,6178,230,6174,6196,217,6179,6187,5904,6043,6094,6159,5008,5909,6165,6158,5167,655,3910,5860,2472,1386,4450,4416,2744,5690,5929,2453,4790,1301,792,2856,277,1969,295,19,358,15,17,33,34,27,35,36,32,29,28,31,30,37,26,3,2,12])).
% 111.97/111.90  cnf(6220,plain,
% 111.97/111.90     (P1(f5(f4(a1),f2(a3,a3)),f5(a3,a3),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[204,232,6178,230,6174,6196,217,6179,6187,5904,6043,6094,6159,5008,5909,6165,6158,5167,655,3910,5860,6050,2472,1386,4450,4416,2744,5690,5929,2453,4790,1301,792,2856,277,1969,295,19,358,15,17,33,34,27,35,36,32,29,28,31,30,37,26,3,2,12,9])).
% 111.97/111.90  cnf(6221,plain,
% 111.97/111.90     (~P2(f2(a6,a7),f2(a6,a7),f5(f5(a3,a3),f5(a3,a3)))),
% 111.97/111.90     inference(scs_inference,[],[204,232,6178,230,6174,6196,217,6179,6187,5904,6043,6094,6159,5008,5909,6165,6158,6216,3447,5167,655,3910,5860,6050,2472,1386,4450,4416,2744,5690,5929,2453,4790,1301,792,2856,277,1969,295,19,358,15,17,33,34,27,35,36,32,29,28,31,30,37,26,3,2,12,9,14])).
% 111.97/111.90  cnf(6223,plain,
% 111.97/111.90     (P1(f2(a3,a1),f5(f2(a3,a1),f2(a3,a3)),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[204,232,6178,230,6174,6196,217,6179,6187,5904,6043,6094,6159,5008,5909,6165,6158,6216,3447,5167,655,3910,5860,5514,6050,2472,1386,4450,4416,2744,5690,5929,2453,4790,1301,792,2856,277,1969,295,19,358,15,17,33,34,27,35,36,32,29,28,31,30,37,26,3,2,12,9,14,10])).
% 111.97/111.90  cnf(6224,plain,
% 111.97/111.90     (P1(a1,f5(a3,a1),f5(a1,a3))),
% 111.97/111.90     inference(scs_inference,[],[204,232,6178,230,6174,6196,217,6179,6187,5904,6043,6094,6159,5008,5909,6165,6158,6216,3447,5167,655,3910,5151,5860,5514,6050,2472,1386,4450,4416,2744,3145,5690,5929,2453,4790,1301,792,2856,277,1969,295,19,358,15,17,33,34,27,35,36,32,29,28,31,30,37,26,3,2,12,9,14,10,11])).
% 111.97/111.90  cnf(6225,plain,
% 111.97/111.90     (~P2(f5(a3,a3),f5(a1,a3),f4(a7))),
% 111.97/111.90     inference(scs_inference,[],[204,232,6178,230,6174,6196,217,6179,6187,5904,6043,6094,6159,5008,5909,6165,6158,6216,3447,4425,5167,655,3910,5151,5860,5514,6050,2472,1386,4450,4416,2744,2501,3145,5690,5929,2453,4790,1301,792,2856,277,1969,295,19,358,15,17,33,34,27,35,36,32,29,28,31,30,37,26,3,2,12,9,14,10,11,13])).
% 111.97/111.90  cnf(6226,plain,
% 111.97/111.90     (~E(a7,f4(a6))),
% 111.97/111.90     inference(scs_inference,[],[204,232,6178,230,6174,6196,217,6179,6187,5904,6043,6094,6159,5008,5909,6165,6158,6216,3447,4425,5167,655,3910,5151,5860,5514,6050,2472,1386,4450,4416,2744,2501,3145,5690,5929,2453,4790,1301,792,2856,277,1969,295,19,358,15,17,33,34,27,35,36,32,29,28,31,30,37,26,3,2,12,9,14,10,11,13,6])).
% 111.97/111.90  cnf(6227,plain,
% 111.97/111.90     (~P2(f2(a3,a1),f5(a3,a3),f5(f2(a6,a7),a3))),
% 111.97/111.90     inference(scs_inference,[],[234,217,1011,18,33])).
% 111.97/111.90  cnf(6230,plain,
% 111.97/111.90     (P1(x62301,f4(x62301),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(6236,plain,
% 111.97/111.90     (~P2(f5(f2(a3,a3),f2(a3,a3)),f5(a3,a3),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[234,217,6173,5950,4139,2584,1011,18,59,33,34,27])).
% 111.97/111.90  cnf(6238,plain,
% 111.97/111.90     (P2(f2(a3,a1),f5(a3,a1),f5(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[234,217,6173,5310,5950,4139,2584,6090,848,1011,18,59,33,34,27,35])).
% 111.97/111.90  cnf(6243,plain,
% 111.97/111.90     (P1(x62431,f4(x62431),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(6245,plain,
% 111.97/111.90     (P1(f2(f4(a3),f2(a3,a1)),f2(a1,a1),a3)),
% 111.97/111.90     inference(scs_inference,[],[234,230,217,6230,6173,5310,6225,3244,5950,6224,4139,2584,6090,2236,996,848,1011,18,59,17,33,34,27,35,36,32])).
% 111.97/111.90  cnf(6246,plain,
% 111.97/111.90     (P2(f5(x62461,a3),a3,x62461)),
% 111.97/111.90     inference(rename_variables,[],[230])).
% 111.97/111.90  cnf(6249,plain,
% 111.97/111.90     (P2(f5(x62491,a3),a3,x62491)),
% 111.97/111.90     inference(rename_variables,[],[230])).
% 111.97/111.90  cnf(6256,plain,
% 111.97/111.90     (P2(f5(x62561,a3),a3,x62561)),
% 111.97/111.90     inference(rename_variables,[],[230])).
% 111.97/111.90  cnf(6264,plain,
% 111.97/111.90     (~P1(f2(a3,a3),f5(a3,a3),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[234,230,6246,6249,217,6230,6243,6192,6173,6217,6031,6156,5310,3141,6225,3244,5950,6224,4139,2584,6090,2895,2236,996,848,1011,4723,3487,18,59,17,33,34,27,35,36,32,29,28,37,30,26])).
% 111.97/111.90  cnf(6266,plain,
% 111.97/111.90     (~E(f2(f2(a3,a3),a1),f5(a7,a3))),
% 111.97/111.90     inference(scs_inference,[],[234,230,6246,6249,217,6230,6243,6192,6173,6217,6031,6156,5310,3141,6225,3244,5950,6224,4139,2584,6090,5585,2895,1662,2236,996,848,1011,4723,3487,18,59,17,33,34,27,35,36,32,29,28,37,30,26,3])).
% 111.97/111.90  cnf(6267,plain,
% 111.97/111.90     (E(f2(a3,a1),f2(a3,f4(x62671)))),
% 111.97/111.90     inference(scs_inference,[],[234,230,6246,6249,217,6230,6243,6192,6173,6217,6031,6156,5310,3141,6139,6225,3244,5950,6224,4139,2584,6090,5585,2895,1662,2236,996,848,1011,4723,3487,18,59,17,33,34,27,35,36,32,29,28,37,30,26,3,2])).
% 111.97/111.90  cnf(6269,plain,
% 111.97/111.90     (~P1(f5(x62691,a3),f4(x62691),f2(a6,a7))),
% 111.97/111.90     inference(rename_variables,[],[226])).
% 111.97/111.90  cnf(6270,plain,
% 111.97/111.90     (P2(f2(a1,a1),f2(f4(x62701),x62701),f5(a1,a3))),
% 111.97/111.90     inference(scs_inference,[],[234,226,230,6246,6249,217,6230,6243,6192,6173,6217,6031,6156,5310,6005,3141,6139,6225,3244,5950,6224,4139,2584,4956,5040,6090,5585,2895,1662,2236,996,848,1011,4723,3487,18,59,17,33,34,27,35,36,32,29,28,37,30,26,3,2,9,12])).
% 111.97/111.90  cnf(6274,plain,
% 111.97/111.90     (~P1(f5(a1,a3),f5(f5(a3,a3),f5(a3,a3)),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[234,226,6269,230,6246,6249,6256,217,6230,6243,6192,6173,6217,6031,6156,5310,6005,3141,6139,6225,6215,3244,5950,6224,4139,2584,4956,5040,6090,5585,2895,1662,2236,996,848,1011,4723,3487,18,59,17,33,34,27,35,36,32,29,28,37,30,26,3,2,9,12,14,10])).
% 111.97/111.90  cnf(6278,plain,
% 111.97/111.90     (~P2(f2(a1,a3),f5(f5(a3,a3),f5(a3,a3)),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[234,226,6269,230,6246,6249,6256,217,6230,6243,6192,6173,6217,6031,6156,5310,4359,6005,3141,6139,6225,6215,3244,5950,6198,6224,4139,2584,4956,5040,6090,5585,6158,2895,1662,2236,996,848,1011,4723,3487,18,59,17,33,34,27,35,36,32,29,28,37,30,26,3,2,9,12,14,10,11,13])).
% 111.97/111.90  cnf(6283,plain,
% 111.97/111.90     (P1(x62831,f4(x62831),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(6284,plain,
% 111.97/111.90     (P2(x62841,f4(f5(x62841,a3)),a1)),
% 111.97/111.90     inference(rename_variables,[],[236])).
% 111.97/111.90  cnf(6288,plain,
% 111.97/111.90     (P2(f5(a3,a1),f4(f5(a1,a3)),f5(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[236,6284,217,6014,1552,6115,5731,33,27,34])).
% 111.97/111.90  cnf(6289,plain,
% 111.97/111.90     (P2(x62891,f4(f5(x62891,a3)),a1)),
% 111.97/111.90     inference(rename_variables,[],[236])).
% 111.97/111.90  cnf(6292,plain,
% 111.97/111.90     (P2(x62921,f4(f5(x62921,a3)),a1)),
% 111.97/111.90     inference(rename_variables,[],[236])).
% 111.97/111.90  cnf(6295,plain,
% 111.97/111.90     (P1(a1,f5(a1,a3),a1)),
% 111.97/111.90     inference(scs_inference,[],[236,6284,6289,232,217,5902,6014,1552,3535,6115,5731,1271,1266,295,33,27,34,35,32])).
% 111.97/111.90  cnf(6301,plain,
% 111.97/111.90     (E(f5(f4(a1),f4(a3)),f2(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[236,6284,6289,232,217,5902,6014,3050,1552,3535,5962,6115,5731,1271,1266,295,33,27,34,35,32,28])).
% 111.97/111.90  cnf(6302,plain,
% 111.97/111.90     (P1(x63021,x63021,x63021)),
% 111.97/111.90     inference(rename_variables,[],[5962])).
% 111.97/111.90  cnf(6304,plain,
% 111.97/111.90     (E(f5(f4(a1),f2(a3,a3)),a3)),
% 111.97/111.90     inference(scs_inference,[],[236,6284,6289,232,217,5902,6014,3050,5956,1552,3535,5962,6115,5731,1271,1266,295,635,33,27,34,35,32,28,29])).
% 111.97/111.90  cnf(6307,plain,
% 111.97/111.90     (P1(a3,f5(a3,a3),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[236,6284,6289,232,217,5902,6014,6220,3050,5956,1552,3535,4232,352,1501,5962,6115,5731,1271,1266,295,635,33,27,34,35,32,28,29,30])).
% 111.97/111.90  cnf(6312,plain,
% 111.97/111.90     (P1(x63121,x63121,x63121)),
% 111.97/111.90     inference(rename_variables,[],[5962])).
% 111.97/111.90  cnf(6314,plain,
% 111.97/111.90     (P2(f5(x63141,a3),a3,x63141)),
% 111.97/111.90     inference(rename_variables,[],[230])).
% 111.97/111.90  cnf(6316,plain,
% 111.97/111.90     (P1(f5(f2(a3,a1),f2(a3,a3)),f2(a3,a1),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[236,6284,6289,232,230,217,5902,6014,6220,6223,3050,4409,5956,1552,3535,4232,352,1501,5962,6302,6115,5731,1271,1266,295,635,33,27,34,35,32,28,29,30,37,26])).
% 111.97/111.90  cnf(6318,plain,
% 111.97/111.90     (~E(f2(a6,a7),f5(f2(a3,a3),f5(a3,a3)))),
% 111.97/111.90     inference(scs_inference,[],[236,6284,6289,232,230,217,5902,6014,6220,6223,3050,4409,5956,1552,5630,1939,3535,4232,352,1501,5962,6302,6115,5731,1271,1266,295,635,33,27,34,35,32,28,29,30,37,26,3])).
% 111.97/111.90  cnf(6319,plain,
% 111.97/111.90     (~E(f5(a7,a3),f2(f2(a3,a3),a1))),
% 111.97/111.90     inference(scs_inference,[],[236,6284,6289,232,230,217,5902,6014,6220,6223,6266,3050,4409,5956,1552,5630,1939,3535,4232,352,1501,5962,6302,6115,5731,1271,1266,295,635,33,27,34,35,32,28,29,30,37,26,3,2])).
% 111.97/111.90  cnf(6320,plain,
% 111.97/111.90     (~P2(f2(a1,a1),f2(a6,a3),f4(a7))),
% 111.97/111.90     inference(scs_inference,[],[236,6284,6289,232,230,217,5902,6014,6220,6223,6266,3050,6161,4409,5956,1552,3596,5630,1939,3535,4232,352,1501,5962,6302,6115,5731,1271,1266,295,635,33,27,34,35,32,28,29,30,37,26,3,2,12])).
% 111.97/111.90  cnf(6322,plain,
% 111.97/111.90     (P1(f5(a1,f2(a3,a3)),f4(a1),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[236,6284,6289,232,230,217,6283,5902,6014,6220,6223,6266,3050,6161,4409,5956,1552,6142,3596,5630,1939,3535,4232,352,1501,5962,6302,6115,5731,1271,1266,295,635,33,27,34,35,32,28,29,30,37,26,3,2,12,9])).
% 111.97/111.90  cnf(6324,plain,
% 111.97/111.90     (P2(f2(a3,a1),f5(a3,a1),f5(f5(a3,a3),f2(a1,a1)))),
% 111.97/111.90     inference(scs_inference,[],[236,6284,6289,232,230,217,6283,5902,6014,6220,6223,6266,6238,3050,6161,4409,5956,1552,6142,3596,5630,1939,367,3535,4232,352,1501,5962,6302,6115,5731,1271,1266,295,635,33,27,34,35,32,28,29,30,37,26,3,2,12,9,14])).
% 111.97/111.90  cnf(6327,plain,
% 111.97/111.90     (P1(f5(a3,a3),f2(a3,a1),f2(a3,f4(x63271)))),
% 111.97/111.90     inference(scs_inference,[],[236,6284,6289,232,230,217,6283,5902,6014,6164,6220,6223,6266,6238,3050,6267,6161,4409,5956,1552,6142,3596,5630,1939,367,3535,4232,352,1501,5962,6302,6115,5731,1271,1266,295,635,33,27,34,35,32,28,29,30,37,26,3,2,12,9,14,10,11])).
% 111.97/111.90  cnf(6328,plain,
% 111.97/111.90     (P2(f5(x63281,a3),f2(a3,f4(x63282)),x63281)),
% 111.97/111.90     inference(scs_inference,[],[236,6284,6289,232,230,6314,217,6283,5902,6014,6164,6220,6223,6266,6238,3050,6267,6161,4409,5956,1552,6142,3596,5630,1939,367,1055,3535,4232,352,1501,5962,6302,6115,5731,1271,1266,295,635,33,27,34,35,32,28,29,30,37,26,3,2,12,9,14,10,11,13])).
% 111.97/111.90  cnf(6329,plain,
% 111.97/111.90     (P2(f2(a1,a3),a3,f2(f2(a3,a3),f4(a3)))),
% 111.97/111.90     inference(scs_inference,[],[236,6284,6289,6292,232,230,6314,217,6283,5902,6014,6164,6220,6223,6266,6238,3050,6267,6161,4409,5956,6135,1552,6142,3596,5630,1939,367,1055,3535,4232,352,1501,5962,6302,6312,6115,5731,691,1271,1266,295,635,33,27,34,35,32,28,29,30,37,26,3,2,12,9,14,10,11,13,36])).
% 111.97/111.90  cnf(6338,plain,
% 111.97/111.90     (P2(f2(f2(a3,a1),f2(a3,a1)),a3,f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[230,5642,4740,2897,34])).
% 111.97/111.90  cnf(6341,plain,
% 111.97/111.90     (~P2(f5(f5(a3,a3),f5(a3,a3)),f2(a1,a3),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[230,6278,5642,4740,2897,34,27])).
% 111.97/111.90  cnf(6353,plain,
% 111.97/111.90     (P1(f5(a1,a3),f2(a1,a1),f5(a1,a3))),
% 111.97/111.90     inference(scs_inference,[],[205,230,6278,5642,6200,4740,5690,2897,5962,4322,406,3489,415,1266,17,34,27,35,36,32])).
% 111.97/111.90  cnf(6358,plain,
% 111.97/111.90     (~P2(f2(f2(a1,a1),a3),a3,a1)),
% 111.97/111.90     inference(scs_inference,[],[205,230,6278,4708,6327,5342,5642,6200,4740,5061,5690,2897,5962,4322,406,3489,415,1266,17,34,27,35,36,32,28,29])).
% 111.97/111.90  cnf(6360,plain,
% 111.97/111.90     (P1(a1,f5(f4(a1),f2(a3,a3)),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[205,236,230,6278,4708,6327,5342,5642,6200,5777,4740,5956,5824,5061,5690,2897,5962,4322,406,3489,415,1266,17,34,27,35,36,32,28,29,31])).
% 111.97/111.90  cnf(6362,plain,
% 111.97/111.90     (P2(x63621,f4(f5(x63621,a3)),a1)),
% 111.97/111.90     inference(rename_variables,[],[236])).
% 111.97/111.90  cnf(6364,plain,
% 111.97/111.90     (P2(a3,f5(a3,a3),f5(f2(a3,a1),f4(a1)))),
% 111.97/111.90     inference(scs_inference,[],[205,236,6362,230,217,6278,4708,6327,5342,5642,6200,5777,4740,5452,5956,5824,5061,5690,2897,5962,4322,406,3489,415,1266,18,17,34,27,35,36,32,28,29,31,37])).
% 111.97/111.90  cnf(6366,plain,
% 111.97/111.90     (P1(x63661,f4(x63661),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(6371,plain,
% 111.97/111.90     (E(f4(a3),f2(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[205,236,6362,230,217,6274,6278,4708,6327,5342,5642,6200,5777,4740,5452,5928,5956,5824,3352,5061,5690,2897,5962,4322,406,3489,415,1266,18,17,34,27,35,36,32,28,29,31,37,26,3])).
% 111.97/111.90  cnf(6374,plain,
% 111.97/111.90     (~P2(f5(f2(a3,a3),a3),f2(a3,a1),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[205,236,6362,230,217,6274,6278,4532,4708,6301,6327,5342,5642,6200,5777,4740,5452,5928,5956,5824,3352,5061,2397,5690,2897,5962,4322,406,3489,415,1266,18,17,34,27,35,36,32,28,29,31,37,26,3,2,12])).
% 111.97/111.90  cnf(6376,plain,
% 111.97/111.90     (P1(f2(a3,a1),f2(a3,a1),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[205,236,6362,230,217,6274,6278,6316,4532,4708,6301,6327,5342,5642,6200,5777,4740,5452,5928,5956,5824,3352,4352,5061,2397,5690,2897,5962,4322,406,3489,415,1266,18,17,34,27,35,36,32,28,29,31,37,26,3,2,12,9])).
% 111.97/111.90  cnf(6381,plain,
% 111.97/111.90     (~P2(f4(a1),f5(a1,a3),f4(a7))),
% 111.97/111.90     inference(scs_inference,[],[205,236,6362,230,217,6274,6278,6316,6221,4532,4708,5438,6295,6301,6327,5342,4718,5642,6200,5777,4740,5452,1405,5928,5956,5824,3094,3352,4352,5814,5061,641,2397,5690,2897,5962,4322,406,3489,415,1266,18,17,34,27,35,36,32,28,29,31,37,26,3,2,12,9,14,10,11,13])).
% 111.97/111.90  cnf(6386,plain,
% 111.97/111.90     (P1(f2(a1,a1),f4(f5(a3,a3)),f2(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[205,236,6362,230,217,6366,6270,6274,6278,6316,6221,4532,4708,5438,6295,6301,6109,6327,5342,4718,5642,6200,5777,4740,5452,1405,5928,5956,4000,5824,3094,3352,4352,5814,5061,641,2397,5690,2897,5962,4322,406,1561,3489,415,1266,18,17,34,27,35,36,32,28,29,31,37,26,3,2,12,9,14,10,11,13,33,30])).
% 111.97/111.90  cnf(6389,plain,
% 111.97/111.90     (P1(f5(a1,a3),f2(x63891,f4(x63891)),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[5954,4676,5544,4587,33])).
% 111.97/111.90  cnf(6392,plain,
% 111.97/111.90     (P2(f2(a3,a1),f2(a3,f4(a1)),f2(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[5930,5954,4676,5544,4587,33,27])).
% 111.97/111.90  cnf(6397,plain,
% 111.97/111.90     (P1(x63971,x63971,x63971)),
% 111.97/111.90     inference(rename_variables,[],[5962])).
% 111.97/111.90  cnf(6399,plain,
% 111.97/111.90     (P2(x63991,f4(f5(x63991,a3)),a1)),
% 111.97/111.90     inference(rename_variables,[],[236])).
% 111.97/111.90  cnf(6401,plain,
% 111.97/111.90     (~P1(f2(a3,a1),f2(f5(a1,a3),a1),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[236,217,6012,6236,6035,5930,5954,4676,5544,685,4587,4931,3198,5962,292,472,33,27,34,35,36])).
% 111.97/111.90  cnf(6405,plain,
% 111.97/111.90     (P1(f5(a1,a3),f5(a1,f2(a3,a3)),f5(a1,a3))),
% 111.97/111.90     inference(scs_inference,[],[236,217,6012,6236,6353,6035,5930,5954,4676,5544,685,4587,1362,4931,3198,5962,2205,292,472,33,27,34,35,36,32])).
% 111.97/111.90  cnf(6408,plain,
% 111.97/111.90     (~P1(f2(a6,a7),f2(a6,a7),f5(f2(a1,a3),f5(a3,a3)))),
% 111.97/111.90     inference(scs_inference,[],[236,217,6012,6236,6353,6035,5687,5930,5954,4676,5544,685,4587,1362,4931,3198,5962,6397,2205,292,472,33,27,34,35,36,32,28])).
% 111.97/111.90  cnf(6412,plain,
% 111.97/111.90     (P2(f5(x64121,a3),a3,x64121)),
% 111.97/111.90     inference(rename_variables,[],[230])).
% 111.97/111.90  cnf(6419,plain,
% 111.97/111.90     (P2(f5(x64191,a3),a3,x64191)),
% 111.97/111.90     inference(rename_variables,[],[230])).
% 111.97/111.90  cnf(6423,plain,
% 111.97/111.90     (~E(f2(a1,a1),f4(f5(a7,a3)))),
% 111.97/111.90     inference(scs_inference,[],[236,6399,230,6412,217,6012,6182,6236,6353,6035,5687,5930,3096,6371,6226,5591,5991,5954,4676,5544,685,4587,1362,4931,3198,5962,6397,2205,292,472,1395,358,33,27,34,35,36,32,28,29,31,37,26,3])).
% 111.97/111.90  cnf(6427,plain,
% 111.97/111.90     (P2(f5(x64271,a3),a3,x64271)),
% 111.97/111.90     inference(rename_variables,[],[230])).
% 111.97/111.90  cnf(6432,plain,
% 111.97/111.90     (~P1(f2(a3,a1),f2(a1,a1),f5(f2(a6,a7),a3))),
% 111.97/111.90     inference(scs_inference,[],[219,236,6399,230,6412,6419,6427,217,6012,6182,6236,6318,6353,6035,5687,5231,5930,3096,6371,6226,6304,5591,5991,5954,3182,4676,5544,685,267,6158,4587,1362,4931,3198,5962,6397,2205,292,472,1395,358,33,27,34,35,36,32,28,29,31,37,26,3,2,9,12,14,10,11])).
% 111.97/111.90  cnf(6441,plain,
% 111.97/111.90     (~P2(f5(f2(a3,a1),a3),f2(a3,a1),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[232,6374,4411,15,27,34])).
% 111.97/111.90  cnf(6449,plain,
% 111.97/111.90     (P1(x64491,f4(x64491),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(6451,plain,
% 111.97/111.90     (P2(f5(a3,a3),f5(f4(a1),f2(a3,a3)),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[232,217,6449,6374,5843,5683,4411,383,16,15,27,34,35,36])).
% 111.97/111.90  cnf(6454,plain,
% 111.97/111.90     (P1(x64541,f4(x64541),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(6457,plain,
% 111.97/111.90     (~P2(f5(a3,a3),f2(a1,a3),f2(a1,f2(a6,a7)))),
% 111.97/111.90     inference(scs_inference,[],[232,217,6449,6454,6374,937,5843,5683,4411,2238,383,626,16,15,27,34,35,36,32])).
% 111.97/111.90  cnf(6458,plain,
% 111.97/111.90     (P1(x64581,f4(x64581),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(6461,plain,
% 111.97/111.90     (E(f5(a3,a3),f5(f2(a3,a3),f2(a3,a1)))),
% 111.97/111.90     inference(scs_inference,[],[232,217,6449,6454,6374,6376,937,5843,5683,4411,2238,383,389,626,16,15,27,34,35,36,32,28])).
% 111.97/111.90  cnf(6464,plain,
% 111.97/111.90     (E(f5(f2(a3,a1),f4(a1)),a3)),
% 111.97/111.90     inference(scs_inference,[],[232,217,6449,6454,6374,6376,6364,937,5843,5683,4411,2238,383,389,626,635,16,15,27,34,35,36,32,28,29])).
% 111.97/111.90  cnf(6467,plain,
% 111.97/111.90     (P1(f2(a3,f4(a3)),f5(a3,a3),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[232,217,6449,6454,6374,6376,6184,6307,6364,937,5843,5683,4411,435,2238,383,389,626,635,16,15,27,34,35,36,32,28,29,31])).
% 111.97/111.90  cnf(6483,plain,
% 111.97/111.90     (~E(a6,f5(a7,a1))),
% 111.97/111.90     inference(scs_inference,[],[234,236,232,217,6449,6454,6374,6376,6401,6184,5828,6328,6307,6364,937,6054,4200,5843,5683,443,4411,420,435,874,2238,383,389,626,635,16,15,17,27,34,35,36,32,28,29,31,37,30,26,3])).
% 111.97/111.90  cnf(6485,plain,
% 111.97/111.90     (E(f2(x64851,a1),f5(f2(a1,x64851),a3))),
% 111.97/111.90     inference(scs_inference,[],[234,236,232,217,6449,6454,6374,6376,6401,6184,5828,6328,6307,6364,937,6054,4200,5843,2735,5683,443,4411,420,435,874,2238,383,389,626,635,16,15,17,27,34,35,36,32,28,29,31,37,30,26,3,2])).
% 111.97/111.90  cnf(6488,plain,
% 111.97/111.90     (~P2(f2(a1,a1),f4(a3),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[234,236,232,217,6449,6454,6458,6374,6376,6401,6184,5828,5408,6328,6307,6364,937,6054,4200,5843,2735,2446,4859,5683,443,4411,420,435,874,2238,383,389,626,635,16,15,17,27,34,35,36,32,28,29,31,37,30,26,3,2,9,12])).
% 111.97/111.90  cnf(6489,plain,
% 111.97/111.90     (P2(f2(a3,a1),f5(a3,a1),f2(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[234,236,232,217,6449,6454,6458,6374,6376,6401,6324,6184,5828,5408,6328,6307,6364,937,6054,4200,5843,2735,2446,4859,5683,4766,443,4411,420,435,874,2238,383,389,626,635,16,15,17,27,34,35,36,32,28,29,31,37,30,26,3,2,9,12,14])).
% 111.97/111.90  cnf(6490,plain,
% 111.97/111.90     (P1(f5(a1,a3),f2(a3,a1),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[234,236,232,217,6449,6454,6458,6374,6376,6389,6401,6324,6184,5828,5408,6328,6307,6364,937,6054,4200,5843,6139,2735,2446,4859,5683,4766,443,4411,420,435,874,2238,383,389,626,635,16,15,17,27,34,35,36,32,28,29,31,37,30,26,3,2,9,12,14,10])).
% 111.97/111.90  cnf(6493,plain,
% 111.97/111.90     (P1(f5(a3,a3),f2(a3,a1),f2(x64931,a3))),
% 111.97/111.90     inference(scs_inference,[],[234,236,232,217,6449,6454,6458,6374,6376,6389,6401,6324,6184,5828,5408,6328,6307,6364,937,6054,4200,5843,6327,6139,5074,2735,2446,4859,5683,4766,443,4411,420,435,874,2238,383,389,626,635,16,15,17,27,34,35,36,32,28,29,31,37,30,26,3,2,9,12,14,10,11])).
% 111.97/111.90  cnf(6495,plain,
% 111.97/111.90     (P2(f5(x64951,a3),f5(a3,f2(a3,a3)),x64951)),
% 111.97/111.90     inference(scs_inference,[],[234,236,232,230,217,6449,6454,6458,6374,6376,6389,6401,6324,6184,5828,5408,6328,6307,6364,937,6054,4200,5843,6327,6139,5074,2735,2446,4859,5683,4766,1061,443,4411,420,435,874,2238,383,389,626,635,16,15,17,27,34,35,36,32,28,29,31,37,30,26,3,2,9,12,14,10,11,13])).
% 111.97/111.90  cnf(6508,plain,
% 111.97/111.90     (P2(f5(a3,a3),f2(a3,a1),a3)),
% 111.97/111.90     inference(scs_inference,[],[217,224,5611,4034,5389,1218,2856,1087,1266,33,27,34])).
% 111.97/111.90  cnf(6510,plain,
% 111.97/111.90     (P1(x65101,f4(x65101),f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[217])).
% 111.97/111.90  cnf(6513,plain,
% 111.97/111.90     (P1(f5(a3,a3),f2(a3,a1),f2(x65131,a3))),
% 111.97/111.90     inference(rename_variables,[],[6493])).
% 111.97/111.90  cnf(6515,plain,
% 111.97/111.90     (P2(f2(a3,f2(a3,a3)),f2(a3,a3),f2(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[217,224,6392,5611,6493,6002,4034,5164,2750,5389,1218,5929,2856,1087,1266,33,27,34,36,35])).
% 111.97/111.90  cnf(6519,plain,
% 111.97/111.90     (P1(f5(a3,a1),a1,a1)),
% 111.97/111.90     inference(scs_inference,[],[217,224,236,6392,5611,6288,6493,6002,6145,4034,5164,2750,5389,1218,5929,964,2856,1087,1266,33,27,34,36,35,32])).
% 111.97/111.90  cnf(6535,plain,
% 111.97/111.90     (~P2(f2(a3,a1),f2(a3,a3),f5(f2(a6,a7),a3))),
% 111.97/111.90     inference(scs_inference,[],[217,6510,224,236,6026,6227,6490,6392,5611,6489,6288,6493,6513,6423,6002,5182,6145,2492,5539,4034,5164,2750,5339,5389,3826,1218,833,5929,5241,964,2856,2119,1087,1266,33,27,34,36,35,32,28,29,31,37,30])).
% 111.97/111.90  cnf(6541,plain,
% 111.97/111.90     (E(f5(f4(a1),a3),a3)),
% 111.97/111.90     inference(scs_inference,[],[217,6510,224,236,6026,6227,6405,6490,6392,5611,6489,6288,6493,6513,6423,6002,5182,6145,6464,2492,5539,4034,5164,2750,4189,5339,5389,3826,1218,833,5929,5241,964,2856,2119,1087,1266,33,27,34,36,35,32,28,29,31,37,30,26,3])).
% 111.97/111.90  cnf(6544,plain,
% 111.97/111.90     (P1(f5(f4(x65441),f2(x65441,x65441)),f2(a3,a1),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[217,6510,224,236,6026,6227,6405,6490,6392,6218,5611,6489,6288,6493,6513,6423,6002,5182,6145,6464,2492,5539,4034,3655,5164,2750,4189,5339,5389,3826,1218,833,5929,5241,964,2856,2119,1087,1266,33,27,34,36,35,32,28,29,31,37,30,26,3,2,9])).
% 111.97/111.90  cnf(6547,plain,
% 111.97/111.90     (~P2(f5(a6,a3),f2(a6,a7),f5(f5(a3,a3),f5(a6,a3)))),
% 111.97/111.90     inference(scs_inference,[],[217,6510,238,224,236,6026,6227,6405,6490,6392,6218,5611,6489,3248,6288,6493,6513,6423,6002,5182,6145,6464,2492,5539,4034,3655,5164,2750,4189,5339,5389,376,6158,3826,1218,833,5929,5241,964,2856,2119,1087,1266,33,27,34,36,35,32,28,29,31,37,30,26,3,2,9,12,14])).
% 111.97/111.90  cnf(6554,plain,
% 111.97/111.90     (P2(f5(x65541,a3),a3,x65541)),
% 111.97/111.90     inference(rename_variables,[],[230])).
% 111.97/111.90  cnf(6555,plain,
% 111.97/111.90     (P2(x65551,f4(f5(x65551,a3)),a1)),
% 111.97/111.90     inference(rename_variables,[],[236])).
% 111.97/111.90  cnf(6556,plain,
% 111.97/111.90     (P1(x65561,f4(f5(x65561,a3)),a3)),
% 111.97/111.90     inference(rename_variables,[],[691])).
% 111.97/111.90  cnf(6560,plain,
% 111.97/111.90     (P2(f5(a1,a3),f4(f5(a1,a3)),f5(a1,a3))),
% 111.97/111.90     inference(scs_inference,[],[236,6555,230,6441,5593,6288,6224,691,33,27,34])).
% 111.97/111.90  cnf(6561,plain,
% 111.97/111.90     (P2(x65611,f4(f5(x65611,a3)),a1)),
% 111.97/111.90     inference(rename_variables,[],[236])).
% 111.97/111.90  cnf(6563,plain,
% 111.97/111.90     (~P1(a1,f2(a3,a3),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[236,6555,232,230,6441,5593,5679,4264,6288,6224,3198,691,33,27,34,35])).
% 111.97/111.90  cnf(6565,plain,
% 111.97/111.90     (P1(f4(f5(x65651,a3)),x65651,f5(a3,a3))),
% 111.97/111.90     inference(rename_variables,[],[3198])).
% 111.97/111.90  cnf(6568,plain,
% 111.97/111.90     (P2(x65681,f4(f5(x65681,a3)),a1)),
% 111.97/111.90     inference(rename_variables,[],[236])).
% 111.97/111.90  cnf(6574,plain,
% 111.97/111.90     (P2(f5(x65741,a3),a3,x65741)),
% 111.97/111.90     inference(rename_variables,[],[230])).
% 111.97/111.90  cnf(6591,plain,
% 111.97/111.90     (~P1(f5(x65911,a3),f4(x65911),f2(a6,a7))),
% 111.97/111.90     inference(rename_variables,[],[226])).
% 111.97/111.90  cnf(6597,plain,
% 111.97/111.90     (~P1(f2(a6,a7),f2(a6,a7),f2(a1,a3))),
% 111.97/111.90     inference(scs_inference,[],[239,226,6591,236,6555,6561,6568,232,230,6554,6574,6408,6432,6441,6547,6461,5593,6485,3092,6508,4420,6358,6519,5679,4264,6288,6224,6376,2057,5563,1153,1990,1203,704,3198,6565,691,6556,500,128,33,27,34,35,36,28,29,37,30,26,3,2,9,12,14,10,11])).
% 111.97/111.90  cnf(6606,plain,
% 111.97/111.90     (P1(x66061,x66061,x66061)),
% 111.97/111.90     inference(rename_variables,[],[5962])).
% 111.97/111.90  cnf(6611,plain,
% 111.97/111.90     (P2(x66111,f4(f5(x66111,a3)),a1)),
% 111.97/111.90     inference(rename_variables,[],[236])).
% 111.97/111.90  cnf(6618,plain,
% 111.97/111.90     (~P1(a6,f4(a7),f5(a6,a3))),
% 111.97/111.90     inference(scs_inference,[],[238,236,6515,6338,5770,5183,6288,846,6224,1211,5962,2119,1266,15,17,33,27,34,35,36])).
% 111.97/111.90  cnf(6624,plain,
% 111.97/111.90     (P2(x66241,f4(x66241),f4(a3))),
% 111.97/111.90     inference(rename_variables,[],[500])).
% 111.97/111.90  cnf(6625,plain,
% 111.97/111.90     (P2(x66251,f4(f5(x66251,a3)),a1)),
% 111.97/111.90     inference(rename_variables,[],[236])).
% 111.97/111.90  cnf(6627,plain,
% 111.97/111.90     (E(f5(a1,a3),f4(a3))),
% 111.97/111.90     inference(scs_inference,[],[238,236,6611,6515,6560,6338,5770,5183,6288,846,6224,3547,1211,5962,2119,500,6624,1266,15,17,33,27,34,35,36,32,29])).
% 111.97/111.90  cnf(6630,plain,
% 111.97/111.90     (E(f5(f4(a1),f5(a1,a3)),a1)),
% 111.97/111.90     inference(scs_inference,[],[238,236,6611,6515,6560,6338,4478,5770,5183,6288,846,6224,3547,1211,5962,6606,2119,500,6624,1266,15,17,33,27,34,35,36,32,29,28])).
% 111.97/111.90  cnf(6639,plain,
% 111.97/111.90     (P1(f5(a3,a3),f2(a3,f4(a3)),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[238,236,6611,6625,6467,6515,5873,6386,6560,6338,4478,5770,5183,6288,846,6224,3547,3076,1211,5962,6606,2119,500,6624,1266,626,15,17,33,27,34,35,36,32,29,28,37,30,26])).
% 111.97/111.90  cnf(6641,plain,
% 111.97/111.90     (~E(f5(a7,a3),f2(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[238,236,6611,6625,6467,6515,6319,5873,6386,6560,6338,4478,5770,5183,6288,846,2300,6224,3547,3076,1211,5962,6606,2119,500,6624,1266,626,15,17,33,27,34,35,36,32,29,28,37,30,26,3])).
% 111.97/111.90  cnf(6644,plain,
% 111.97/111.90     (P1(a3,f5(a1,a3),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[238,236,6611,6625,6467,6515,6319,5873,6386,6560,4305,6338,6541,4478,5770,5183,5090,6288,846,2300,6224,3547,3076,1211,5962,6606,2119,500,6624,1266,626,15,17,33,27,34,35,36,32,29,28,37,30,26,3,2,9])).
% 111.97/111.90  cnf(6651,plain,
% 111.97/111.90     (P2(f5(x66511,a3),f2(a3,a1),x66511)),
% 111.97/111.90     inference(scs_inference,[],[238,240,236,6611,6625,6467,6515,6319,5873,4131,6386,6560,6162,4305,6495,6338,6329,5996,6541,4478,5770,5183,5090,6048,6288,846,2300,6224,3547,3076,1211,321,5962,6606,2119,500,6624,1266,626,15,17,33,27,34,35,36,32,29,28,37,30,26,3,2,9,12,14,10,11,13])).
% 111.97/111.90  cnf(6659,plain,
% 111.97/111.90     (~P1(a1,a3,a1)+P1(a3,f2(a1,a1),f2(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[2343,26])).
% 111.97/111.90  cnf(6678,plain,
% 111.97/111.90     (~P2(f5(f4(a1),f2(a3,a3)),a3,f5(a7,a3))),
% 111.97/111.90     inference(scs_inference,[],[232,6341,6451,6457,5744,4738,6166,5704,6360,2983,3159,5227,4670,5072,5843,4460,5585,809,1885,1761,495,217,33,27,34,35,36,32,29])).
% 111.97/111.90  cnf(6686,plain,
% 111.97/111.90     (E(f2(f2(a1,a1),f2(a1,a1)),f4(a3))),
% 111.97/111.90     inference(scs_inference,[],[232,6341,6451,6457,5744,5597,4738,3123,6166,5704,6627,3370,6360,6131,2793,2983,3159,5227,4670,5072,5843,4460,5585,809,1885,1761,495,217,33,27,34,35,36,32,29,28,37,26,3])).
% 111.97/111.90  cnf(6687,plain,
% 111.97/111.90     (E(f4(a3),f5(a1,a3))),
% 111.97/111.90     inference(scs_inference,[],[232,6341,6451,6457,5744,5597,4738,3123,6166,5704,6627,3370,6360,6131,2793,2983,3159,5227,4670,5072,5843,4460,5585,809,1885,1761,495,217,33,27,34,35,36,32,29,28,37,26,3,2])).
% 111.97/111.90  cnf(6706,plain,
% 111.97/111.90     (~P2(f5(a3,a3),a3,f5(a7,a3))),
% 111.97/111.90     inference(scs_inference,[],[232,5403,6678,5543,15,27,34])).
% 111.97/111.90  cnf(6714,plain,
% 111.97/111.90     (P2(f5(a3,a3),f2(a3,a1),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[232,5403,4695,6678,1377,6329,4680,5543,3198,2856,16,15,27,34,32,36])).
% 111.97/111.90  cnf(6718,plain,
% 111.97/111.90     (P2(f5(x67181,a3),a3,x67181)),
% 111.97/111.90     inference(rename_variables,[],[230])).
% 111.97/111.90  cnf(6734,plain,
% 111.97/111.90     (~E(f2(a3,a1),f5(a7,a3))),
% 111.97/111.90     inference(scs_inference,[],[239,236,232,230,6544,6639,6641,5403,4695,3692,6687,6678,6245,1377,6329,5860,4200,5991,2175,4680,5543,3955,4852,947,3198,2856,1969,16,15,17,27,34,32,36,29,31,28,37,30,26,3,2])).
% 111.97/111.90  cnf(6735,plain,
% 111.97/111.90     (P2(a3,a3,f4(a1))),
% 111.97/111.90     inference(scs_inference,[],[239,236,232,230,6718,6544,6639,6641,5403,4695,3692,6687,6678,6245,1377,6329,6541,5860,4200,5991,2175,4680,5543,3955,4852,947,3198,2856,1969,16,15,17,27,34,32,36,29,31,28,37,30,26,3,2,12])).
% 111.97/111.90  cnf(6736,plain,
% 111.97/111.90     (P2(f5(x67361,a3),a3,x67361)),
% 111.97/111.90     inference(rename_variables,[],[230])).
% 111.97/111.90  cnf(6738,plain,
% 111.97/111.90     (~P1(x67381,f5(f4(x67381),a3),f2(a6,a7))),
% 111.97/111.90     inference(rename_variables,[],[224])).
% 111.97/111.90  cnf(6750,plain,
% 111.97/111.90     (P2(f5(a3,a3),f4(a1),f4(a1))),
% 111.97/111.90     inference(scs_inference,[],[224,6738,239,226,240,236,232,230,6718,6736,6264,6544,6639,6107,6641,5403,4695,3692,6686,6687,5841,6678,6245,6295,1377,6329,6541,5860,4200,5991,2175,4680,5543,3955,699,4852,947,1077,3198,2856,1969,754,16,18,15,17,27,34,32,36,29,31,28,37,30,26,3,2,12,9,14,11,10,13,33,35])).
% 111.97/111.90  cnf(6760,plain,
% 111.97/111.90     (P2(f4(x67601),x67601,f5(a1,a3))),
% 111.97/111.90     inference(rename_variables,[],[824])).
% 111.97/111.90  cnf(6770,plain,
% 111.97/111.90     (P1(x67701,x67701,x67701)),
% 111.97/111.90     inference(rename_variables,[],[5962])).
% 111.97/111.90  cnf(6777,plain,
% 111.97/111.90     (P1(x67771,x67771,x67771)),
% 111.97/111.90     inference(rename_variables,[],[5962])).
% 111.97/111.90  cnf(6794,plain,
% 111.97/111.90     (~P2(a1,f2(a1,a3),f4(a7))),
% 111.97/111.90     inference(scs_inference,[],[224,238,232,230,6535,6597,5763,6734,5142,5100,5439,5848,6630,5974,6735,5243,6644,4843,5299,6165,6142,3533,5777,1328,1860,3056,5929,2363,5962,6770,6777,3487,824,6760,16,17,33,34,27,35,36,31,29,28,37,30,26,3,2,12])).
% 111.97/111.90  cnf(6795,plain,
% 111.97/111.90     (P1(f2(a1,a1),f4(a1),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[224,238,232,230,6535,6597,5763,6734,5142,5100,5688,5439,5848,6630,5974,6735,5243,6644,3852,4843,5299,6165,6142,3533,5777,1328,1860,3056,5929,2363,5962,6770,6777,3487,824,6760,16,17,33,34,27,35,36,31,29,28,37,30,26,3,2,12,9])).
% 111.97/111.90  cnf(6799,plain,
% 111.97/111.90     (P1(f4(a1),f2(a3,a1),a3)),
% 111.97/111.90     inference(scs_inference,[],[224,238,240,232,230,6535,6597,5763,6734,3961,5142,6322,6651,5100,5688,5439,5848,6630,5974,6735,5243,6644,3852,4843,5299,6165,2114,6142,6304,3533,5777,1328,1860,3056,5929,2363,5962,6770,6777,3487,824,6760,16,17,33,34,27,35,36,31,29,28,37,30,26,3,2,12,9,14,10,11])).
% 111.97/111.90  cnf(6805,plain,
% 111.97/111.90     (~P1(f5(a3,a3),f5(a3,a3),f5(a7,a3))),
% 111.97/111.90     inference(scs_inference,[],[6714,6651,5490,6164,33])).
% 111.97/111.90  cnf(6806,plain,
% 111.97/111.90     (P2(f5(x68061,a3),f2(a3,a1),x68061)),
% 111.97/111.90     inference(rename_variables,[],[6651])).
% 111.97/111.90  cnf(6808,plain,
% 111.97/111.90     (P2(f2(x68081,a3),f2(a3,a1),f2(x68081,a3))),
% 111.97/111.90     inference(scs_inference,[],[408,6714,6651,5490,6493,6164,33,34])).
% 111.97/111.90  cnf(6809,plain,
% 111.97/111.90     (P2(f2(a3,x68091),f2(a3,a1),f2(a3,x68091))),
% 111.97/111.90     inference(rename_variables,[],[408])).
% 111.97/111.90  cnf(6811,plain,
% 111.97/111.90     (P2(f4(a1),a3,a3)),
% 111.97/111.90     inference(scs_inference,[],[408,449,6714,6651,5490,6493,6164,33,34,27])).
% 111.97/111.90  cnf(6813,plain,
% 111.97/111.90     (~P1(f2(a1,a1),a1,f4(a7))),
% 111.97/111.90     inference(scs_inference,[],[408,449,6714,6381,6651,5490,4812,6493,6164,2753,15,33,34,27,35])).
% 111.97/111.90  cnf(6819,plain,
% 111.97/111.90     (P2(x68191,f4(x68191),f4(a3))),
% 111.97/111.90     inference(rename_variables,[],[500])).
% 111.97/111.90  cnf(6823,plain,
% 111.97/111.90     (P1(f4(a3),x68231,x68231)),
% 111.97/111.90     inference(rename_variables,[],[495])).
% 111.97/111.90  cnf(6826,plain,
% 111.97/111.90     (~P2(f2(a3,a1),f2(a3,a1),f5(a7,a3))),
% 111.97/111.90     inference(scs_inference,[],[408,6809,479,449,495,6714,6381,6799,6734,6238,6651,6806,5490,4812,6493,6164,5394,2753,964,2363,500,15,33,34,27,35,36,32,31,29])).
% 111.97/111.90  cnf(6831,plain,
% 111.97/111.90     (~P2(a1,a1,f4(a7))),
% 111.97/111.90     inference(scs_inference,[],[408,6809,476,479,449,493,495,6823,6714,6381,6794,6799,6734,6238,6651,6806,5490,4812,6493,6164,5394,2753,964,2363,500,6819,15,33,34,27,35,36,32,31,29,28,37])).
% 111.97/111.90  cnf(6832,plain,
% 111.97/111.90     (P1(f4(a3),x68321,x68321)),
% 111.97/111.90     inference(rename_variables,[],[495])).
% 111.97/111.90  cnf(6837,plain,
% 111.97/111.90     (P1(f4(a3),x68371,x68371)),
% 111.97/111.90     inference(rename_variables,[],[495])).
% 111.97/111.90  cnf(6839,plain,
% 111.97/111.90     (P1(x68391,f4(a3),x68391)),
% 111.97/111.90     inference(scs_inference,[],[408,6809,476,479,449,493,495,6823,6832,6837,6714,6381,6794,6799,6734,6238,6651,6806,5490,4812,6493,6164,5394,2753,964,2363,2856,500,6819,15,33,34,27,35,36,32,31,29,28,37,30,26])).
% 111.97/111.90  cnf(6841,plain,
% 111.97/111.90     (E(f2(x68411,a3),f4(a1))),
% 111.97/111.90     inference(scs_inference,[],[408,6809,476,479,449,493,495,6823,6832,6837,6714,6381,6794,6799,6734,6238,6651,6806,5490,4812,6493,6164,5394,2753,4016,5664,964,2363,2856,500,6819,15,33,34,27,35,36,32,31,29,28,37,30,26,3])).
% 111.97/111.90  cnf(6842,plain,
% 111.97/111.90     (~E(f5(a7,a1),a6)),
% 111.97/111.90     inference(scs_inference,[],[408,6809,476,479,449,493,495,6823,6832,6837,6714,6381,6794,6799,6483,6734,6238,6651,6806,5490,4812,6493,6164,5394,2753,4016,5664,964,2363,2856,500,6819,15,33,34,27,35,36,32,31,29,28,37,30,26,3,2])).
% 111.97/111.90  cnf(6855,plain,
% 111.97/111.90     (P2(f5(x68551,a3),f2(a3,a1),x68551)),
% 111.97/111.90     inference(rename_variables,[],[6651])).
% 111.97/111.90  cnf(6856,plain,
% 111.97/111.90     (P2(f2(a3,x68561),f2(a3,a1),f2(a3,x68561))),
% 111.97/111.90     inference(rename_variables,[],[408])).
% 111.97/111.90  cnf(6858,plain,
% 111.97/111.90     (~P1(a3,f5(a3,a3),f2(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[408,449,5362,6058,6307,6651,6164,2316,33,34])).
% 111.97/111.90  cnf(6860,plain,
% 111.97/111.90     (~P2(f4(a1),f2(a1,a1),a3)),
% 111.97/111.90     inference(scs_inference,[],[408,449,6038,5362,6058,6307,6651,6164,2316,33,34,27])).
% 111.97/111.90  cnf(6866,plain,
% 111.97/111.90     (P1(f5(a3,a3),f5(a3,a3),f2(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[408,455,449,6750,6038,6839,5362,5994,6058,6307,6651,6164,693,5021,2316,1021,33,34,27,35,32])).
% 111.97/111.90  cnf(6869,plain,
% 111.97/111.90     (~P2(f5(a3,a3),f2(a3,a3),f5(a7,a3))),
% 111.97/111.90     inference(scs_inference,[],[408,455,472,449,6805,6750,6038,6839,5362,5994,6058,6307,6714,6651,6164,693,5021,2316,1021,33,34,27,35,32,31])).
% 111.97/111.90  cnf(6871,plain,
% 111.97/111.90     (~P2(f5(a6,a3),f2(a3,a1),f5(a7,a1))),
% 111.97/111.90     inference(scs_inference,[],[408,455,472,449,6805,6750,6038,6839,6842,5362,5994,6058,6307,6714,6651,6855,6164,693,5021,2316,1021,33,34,27,35,32,31,29])).
% 111.97/111.90  cnf(6877,plain,
% 111.97/111.90     (P2(f5(a3,a3),f2(a1,a3),f2(a1,a3))),
% 111.97/111.90     inference(scs_inference,[],[408,498,455,472,449,415,495,6805,6750,6038,6839,6842,5362,6131,5994,6058,6307,6714,6651,6855,6164,693,5021,2316,1021,33,34,27,35,32,31,29,28,37])).
% 111.97/111.90  cnf(6880,plain,
% 111.97/111.90     (P1(f2(a1,a3),a1,f2(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[408,498,455,472,449,493,415,495,6805,6750,6038,6839,6842,5362,6131,5994,6058,6307,6714,6651,6855,4582,6164,3820,693,5021,2316,1021,15,33,34,27,35,32,31,29,28,37,30])).
% 111.97/111.90  cnf(6886,plain,
% 111.97/111.90     (~E(f2(a7,a1),f2(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[408,498,455,472,449,493,415,495,5456,6805,6750,6038,6839,6842,5362,6131,5994,6058,6307,6714,6641,6651,6855,5574,4582,6164,3820,693,5021,2316,1021,15,33,34,27,35,32,31,29,28,37,30,26,3])).
% 111.97/111.90  cnf(6887,plain,
% 111.97/111.90     (E(f5(x68871,a3),f2(x68871,a1))),
% 111.97/111.90     inference(rename_variables,[],[5574])).
% 111.97/111.90  cnf(6888,plain,
% 111.97/111.90     (E(f4(a1),f2(x68881,a3))),
% 111.97/111.90     inference(scs_inference,[],[408,498,455,472,449,493,415,495,5456,6805,6750,6038,6839,6841,6842,5362,6131,5994,6058,6307,6714,6641,6651,6855,5574,4582,6164,3820,693,5021,2316,1021,15,33,34,27,35,32,31,29,28,37,30,26,3,2])).
% 111.97/111.90  cnf(6891,plain,
% 111.97/111.90     (~P1(f5(a3,a3),f5(a1,a3),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[408,498,455,472,449,493,463,415,495,5627,5456,6805,6750,6038,6839,6841,6842,5362,6131,5994,6058,6307,6714,6641,6651,6855,5574,6887,4582,6164,3820,693,5021,2316,1021,15,33,34,27,35,32,31,29,28,37,30,26,3,2,12,9])).
% 111.97/111.90  cnf(6892,plain,
% 111.97/111.90     (E(f5(x68921,a3),f2(x68921,a1))),
% 111.97/111.90     inference(rename_variables,[],[5574])).
% 111.97/111.90  cnf(6893,plain,
% 111.97/111.90     (P2(f2(a3,a3),f2(a3,a1),f4(a1))),
% 111.97/111.90     inference(scs_inference,[],[408,6856,498,455,472,449,493,463,415,495,5627,5456,6805,6750,6038,6839,6841,6842,5362,6131,5994,6058,6307,6714,6641,6651,6855,5574,6887,4582,6164,3820,693,5021,2316,1021,15,33,34,27,35,32,31,29,28,37,30,26,3,2,12,9,14])).
% 111.97/111.90  cnf(6897,plain,
% 111.97/111.90     (E(f2(x68971,a1),x68971)),
% 111.97/111.90     inference(rename_variables,[],[826])).
% 111.97/111.90  cnf(6900,plain,
% 111.97/111.90     (~P2(f2(a3,a1),f5(a3,a3),f5(a7,a3))),
% 111.97/111.90     inference(scs_inference,[],[408,6856,498,455,479,472,449,493,463,415,495,5627,5456,6805,6826,6750,6038,6839,6841,6842,5362,6131,5994,6058,6307,6714,6641,6651,6855,5574,6887,6892,4582,6164,3820,693,5021,2316,1021,826,6897,15,33,34,27,35,32,31,29,28,37,30,26,3,2,12,9,14,11,10,13])).
% 111.97/111.90  cnf(6907,plain,
% 111.97/111.90     (P1(a1,f5(a3,a1),a1)),
% 111.97/111.90     inference(scs_inference,[],[415,6295,5697,265,33])).
% 111.97/111.90  cnf(6908,plain,
% 111.97/111.90     (P1(x69081,f4(x69081),f2(x69081,a3))),
% 111.97/111.90     inference(rename_variables,[],[415])).
% 111.97/111.90  cnf(6911,plain,
% 111.97/111.90     (~P1(f2(a3,a1),f2(a3,a1),f5(a7,a3))),
% 111.97/111.90     inference(scs_inference,[],[415,6869,6295,5042,5697,5962,265,33,34])).
% 111.97/111.90  cnf(6917,plain,
% 111.97/111.90     (P1(f4(a3),x69171,x69171)),
% 111.97/111.90     inference(rename_variables,[],[495])).
% 111.97/111.90  cnf(6918,plain,
% 111.97/111.90     (P1(f4(x69181),x69181,f2(a3,a1))),
% 111.97/111.90     inference(rename_variables,[],[889])).
% 111.97/111.90  cnf(6919,plain,
% 111.97/111.90     (P2(x69191,f4(x69191),f4(a3))),
% 111.97/111.90     inference(rename_variables,[],[500])).
% 111.97/111.90  cnf(6921,plain,
% 111.97/111.90     (P2(f4(a1),f2(a3,a3),f2(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[415,493,500,495,6917,6877,6869,6871,6811,6295,5042,5697,889,5962,265,33,34,27,35,36])).
% 111.97/111.90  cnf(6923,plain,
% 111.97/111.90     (P1(f4(a3),x69231,x69231)),
% 111.97/111.90     inference(rename_variables,[],[495])).
% 111.97/111.90  cnf(6924,plain,
% 111.97/111.90     (P1(f4(x69241),x69241,f2(x69241,a3))),
% 111.97/111.90     inference(rename_variables,[],[493])).
% 111.97/111.90  cnf(6926,plain,
% 111.97/111.90     (P1(f2(a1,a1),f2(x69261,a3),f2(x69261,a3))),
% 111.97/111.90     inference(scs_inference,[],[415,493,500,495,6917,6923,6877,6869,6871,6808,6811,6295,5042,5697,5339,889,5962,265,33,34,27,35,36,32])).
% 111.97/111.90  cnf(6927,plain,
% 111.97/111.90     (P1(f4(a3),x69271,x69271)),
% 111.97/111.90     inference(rename_variables,[],[495])).
% 111.97/111.90  cnf(6935,plain,
% 111.97/111.90     (E(f2(x69351,a3),f2(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[415,493,6924,500,6919,495,6917,6923,6877,6869,6871,6808,6811,6839,6295,5042,5697,5339,889,6918,5962,265,824,33,34,27,35,36,32,31,28])).
% 111.97/111.90  cnf(6938,plain,
% 111.97/111.90     (P2(f5(a3,a1),f2(a3,a3),f2(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[415,472,493,6924,500,6919,495,6917,6923,6877,6869,6871,6808,6811,6839,4943,6295,4406,5042,5697,5339,889,6918,5962,265,824,33,34,27,35,36,32,31,28,37])).
% 111.97/111.90  cnf(6941,plain,
% 111.97/111.90     (P1(x69411,f4(x69411),f2(x69411,a3))),
% 111.97/111.90     inference(rename_variables,[],[415])).
% 111.97/111.90  cnf(6946,plain,
% 111.97/111.90     (~E(f2(a7,a1),f2(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[415,6908,472,493,6924,500,6919,495,6917,6923,6877,6869,6886,6871,6808,6795,6811,6839,4943,6295,4406,4937,5042,5697,5339,889,6918,5962,265,1454,824,33,34,27,35,36,32,31,28,37,30,26,3])).
% 111.97/111.90  cnf(6951,plain,
% 111.97/111.90     (P1(x69511,f4(x69511),f2(x69511,a3))),
% 111.97/111.90     inference(rename_variables,[],[415])).
% 111.97/111.90  cnf(6953,plain,
% 111.97/111.90     (P1(f4(a3),f4(a1),f2(x69531,a3))),
% 111.97/111.90     inference(scs_inference,[],[415,6908,6941,472,493,6924,463,500,6919,495,6917,6923,6927,6877,6869,6886,6871,6808,6320,6795,6888,6811,6839,6735,4943,6295,2487,4406,4937,5042,5697,5339,4790,889,6918,5962,265,1454,824,33,34,27,35,36,32,31,28,37,30,26,3,2,12,9,14,11])).
% 111.97/111.90  cnf(6955,plain,
% 111.97/111.90     (P1(a1,f2(x69551,a3),f2(a1,a3))),
% 111.97/111.90     inference(scs_inference,[],[415,6908,6941,6951,472,493,6924,463,500,6919,495,6917,6923,6927,6877,6869,6886,6871,6808,6320,6795,6888,6811,6839,6735,4943,6295,2487,4406,4937,5042,5697,5339,4790,889,6918,5962,265,1454,824,33,34,27,35,36,32,31,28,37,30,26,3,2,12,9,14,11,10])).
% 111.97/111.90  cnf(6967,plain,
% 111.97/111.90     (~P2(f5(a3,a3),f2(a3,a1),f5(a7,a3))),
% 111.97/111.90     inference(scs_inference,[],[472,6900,6911,6706,4353,6811,645,1205,33,34,27])).
% 111.97/111.90  cnf(6972,plain,
% 111.97/111.90     (P1(x69721,f4(x69721),f2(x69721,a3))),
% 111.97/111.90     inference(rename_variables,[],[415])).
% 111.97/111.90  cnf(6978,plain,
% 111.97/111.90     (P1(f4(a1),f2(a3,a1),f4(a1))),
% 111.97/111.90     inference(scs_inference,[],[415,472,6900,6911,6946,5464,6893,6921,6706,5746,4353,6489,6839,6811,6735,5070,645,1205,33,34,27,35,32,29,31])).
% 111.97/111.90  cnf(6991,plain,
% 111.97/111.90     (E(f2(x69911,a3),f2(x69912,a3))),
% 111.97/111.90     inference(scs_inference,[],[415,6972,472,6891,6900,6911,6946,5464,6926,6893,6921,6706,6858,5746,6869,4610,4353,5552,6489,6839,6811,6841,6888,6735,5070,4977,645,1205,2119,33,34,27,35,32,29,31,37,28,30,26,3])).
% 111.97/111.90  cnf(6993,plain,
% 111.97/111.90     (~P2(f2(x69931,a3),f5(a3,a3),f5(a7,a3))),
% 111.97/111.90     inference(scs_inference,[],[415,6972,472,6891,6900,6911,6946,5464,6926,6935,6893,6921,6706,6858,5746,6869,4610,4353,5552,6489,6839,6811,6841,6888,6735,5070,4977,645,1205,2119,33,34,27,35,32,29,31,37,28,30,26,3,2,12])).
% 111.97/111.90  cnf(6994,plain,
% 111.97/111.90     (P1(f2(a1,a1),f5(a3,a1),a1)),
% 111.97/111.90     inference(scs_inference,[],[415,6972,472,463,6891,6900,6911,6946,6907,5464,6926,6935,6893,6921,6706,6858,5746,6869,4610,4353,5552,6489,6839,6811,6841,6888,6735,5070,4977,645,1205,2119,33,34,27,35,32,29,31,37,28,30,26,3,2,12,9])).
% 111.97/111.90  cnf(6995,plain,
% 111.97/111.90     (E(x69951,f2(a1,x69951))),
% 111.97/111.90     inference(rename_variables,[],[463])).
% 111.97/111.90  cnf(6999,plain,
% 111.97/111.90     (E(x69991,f2(a1,x69991))),
% 111.97/111.90     inference(rename_variables,[],[463])).
% 111.97/111.90  cnf(7000,plain,
% 111.97/111.90     (~P2(f4(a1),a1,a3)),
% 111.97/111.90     inference(scs_inference,[],[415,6972,472,463,6995,6999,6891,6900,6911,6946,6907,5464,6926,6935,6488,6893,6921,6706,6858,6880,6860,5746,6869,4610,4353,5552,6489,6839,6811,6841,6888,6735,5070,4977,2950,645,1205,2119,33,34,27,35,32,29,31,37,28,30,26,3,2,12,9,14,11,10,13])).
% 111.97/111.90  cnf(7008,plain,
% 111.97/111.90     (P2(x70081,f2(x70082,a1),f5(x70082,x70081))),
% 111.97/111.90     inference(scs_inference,[],[1454,3773,1266,2,26,27])).
% 111.97/111.90  cnf(7012,plain,
% 111.97/111.90     (E(f5(x70121,a3),x70121)),
% 111.97/111.90     inference(rename_variables,[],[127])).
% 111.97/111.90  cnf(7014,plain,
% 111.97/111.90     (E(f5(x70141,a3),x70141)),
% 111.97/111.90     inference(rename_variables,[],[127])).
% 111.97/111.90  cnf(7016,plain,
% 111.97/111.90     (E(f5(x70161,a3),x70161)),
% 111.97/111.90     inference(rename_variables,[],[127])).
% 111.97/111.90  cnf(7018,plain,
% 111.97/111.90     (E(f5(x70181,a3),x70181)),
% 111.97/111.90     inference(rename_variables,[],[127])).
% 111.97/111.90  cnf(7020,plain,
% 111.97/111.90     (E(x70201,f2(f5(x70201,a3),a1))),
% 111.97/111.90     inference(rename_variables,[],[134])).
% 111.97/111.90  cnf(7022,plain,
% 111.97/111.90     (P2(x70221,f2(x70221,a3),x70221)),
% 111.97/111.90     inference(rename_variables,[],[55])).
% 111.97/111.90  cnf(7026,plain,
% 111.97/111.90     (P1(x70261,a1,x70261)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7029,plain,
% 111.97/111.90     (P2(x70291,x70292,f5(x70292,x70291))),
% 111.97/111.90     inference(rename_variables,[],[128])).
% 111.97/111.90  cnf(7038,plain,
% 111.97/111.90     (P2(x70381,x70382,f5(x70382,x70381))),
% 111.97/111.90     inference(rename_variables,[],[128])).
% 111.97/111.90  cnf(7042,plain,
% 111.97/111.90     (P1(x70421,a1,x70421)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7043,plain,
% 111.97/111.90     (P2(x70431,x70432,f5(x70432,x70431))),
% 111.97/111.90     inference(rename_variables,[],[128])).
% 111.97/111.90  cnf(7045,plain,
% 111.97/111.90     (~P1(f5(a3,a3),a1,f2(a1,a7))),
% 111.97/111.90     inference(scs_inference,[],[15,7026,7042,38,3169,59,128,7029,7038,7043,55,7022,187,1454,176,191,1175,2487,633,3773,17,87,127,7012,7014,7016,7018,134,7020,1266,5962,2,26,27,6,13,10,11,9,14,12,3,28,29,30,37,31,35])).
% 111.97/111.90  cnf(7047,plain,
% 111.97/111.90     (P1(x70471,a1,x70471)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7050,plain,
% 111.97/111.90     (~P1(a6,f2(a1,a3),f2(a6,a7))),
% 111.97/111.90     inference(scs_inference,[],[15,7026,7042,7047,38,3169,59,128,7029,7038,7043,55,7022,187,1454,176,265,191,1175,2487,633,3773,17,87,127,7012,7014,7016,7018,134,7020,1266,5962,2,26,27,6,13,10,11,9,14,12,3,28,29,30,37,31,35,36])).
% 111.97/111.90  cnf(7074,plain,
% 111.97/111.90     (~P2(f2(a1,a1),a7,f2(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[2363,4016,2,27])).
% 111.97/111.90  cnf(7078,plain,
% 111.97/111.90     (P1(a1,x70781,f5(x70781,a3))),
% 111.97/111.90     inference(scs_inference,[],[2363,928,17,127,4016,2,27,26,10])).
% 111.97/111.90  cnf(7079,plain,
% 111.97/111.90     (P1(a1,x70791,x70791)),
% 111.97/111.90     inference(rename_variables,[],[17])).
% 111.97/111.90  cnf(7080,plain,
% 111.97/111.90     (~P2(a6,f2(a6,a7),f2(a6,a1))),
% 111.97/111.90     inference(scs_inference,[],[3502,2363,928,17,127,43,4016,2,27,26,10,12])).
% 111.97/111.90  cnf(7083,plain,
% 111.97/111.90     (E(f5(x70831,a3),x70831)),
% 111.97/111.90     inference(rename_variables,[],[127])).
% 111.97/111.90  cnf(7086,plain,
% 111.97/111.90     (P1(x70861,a1,x70861)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7088,plain,
% 111.97/111.90     (E(f5(x70881,a3),x70881)),
% 111.97/111.90     inference(rename_variables,[],[127])).
% 111.97/111.90  cnf(7091,plain,
% 111.97/111.90     (P1(f5(x70911,a3),a1,x70911)),
% 111.97/111.90     inference(scs_inference,[],[15,7086,3502,49,2363,5448,633,2487,928,17,127,7083,7088,43,4016,6734,2,27,26,10,12,13,14,9,3,29,11])).
% 111.97/111.90  cnf(7092,plain,
% 111.97/111.90     (P1(x70921,a1,x70921)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7093,plain,
% 111.97/111.90     (E(f2(x70931,a1),f2(a1,x70931))),
% 111.97/111.90     inference(scs_inference,[],[15,7086,3502,49,2363,5448,633,2487,928,17,7079,127,7083,7088,43,1266,4016,6734,2,27,26,10,12,13,14,9,3,29,11,28])).
% 111.97/111.90  cnf(7097,plain,
% 111.97/111.90     (~P2(a3,f5(a3,a3),f2(a1,a7))),
% 111.97/111.90     inference(scs_inference,[],[15,7086,7092,3502,49,2363,5448,633,2487,928,17,7079,102,18,127,7083,7088,43,1266,4016,6734,2,27,26,10,12,13,14,9,3,29,11,28,37])).
% 111.97/111.90  cnf(7098,plain,
% 111.97/111.90     (P1(x70981,a1,x70981)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7102,plain,
% 111.97/111.90     (P2(x71021,x71022,f5(x71022,x71021))),
% 111.97/111.90     inference(rename_variables,[],[128])).
% 111.97/111.90  cnf(7105,plain,
% 111.97/111.90     (~P1(a6,f5(a1,a7),a6)),
% 111.97/111.90     inference(scs_inference,[],[15,7086,7092,7098,38,3502,59,128,7102,49,2363,5448,633,2487,928,6858,17,7079,102,23,18,127,7083,7088,43,1266,5962,4016,6734,2,27,26,10,12,13,14,9,3,29,11,28,37,33,36])).
% 111.97/111.90  cnf(7127,plain,
% 111.97/111.90     (P2(f2(x71271,a3),f2(x71271,a1),x71271)),
% 111.97/111.90     inference(scs_inference,[],[1271,2119,5585,2,26,27])).
% 111.97/111.90  cnf(7131,plain,
% 111.97/111.90     (P1(x71311,x71312,f2(x71311,x71312))),
% 111.97/111.90     inference(rename_variables,[],[23])).
% 111.97/111.90  cnf(7134,plain,
% 111.97/111.90     (E(f5(x71341,a3),f2(a1,x71341))),
% 111.97/111.90     inference(scs_inference,[],[7074,1271,2487,7050,23,127,463,2119,240,1205,5585,2,26,27,13,10,12,3])).
% 111.97/111.90  cnf(7141,plain,
% 111.97/111.90     (P2(x71411,f2(x71411,a3),x71411)),
% 111.97/111.90     inference(rename_variables,[],[55])).
% 111.97/111.90  cnf(7146,plain,
% 111.97/111.90     (P1(x71461,a1,x71461)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7148,plain,
% 111.97/111.90     (P2(a1,f2(a1,a3),f5(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[15,7146,25,7074,128,55,7141,96,1271,2487,633,7050,17,23,7131,127,43,65,463,2119,240,1205,5585,2,26,27,13,10,12,3,14,9,29,11,28,37])).
% 111.97/111.90  cnf(7149,plain,
% 111.97/111.90     (P1(x71491,a1,x71491)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7154,plain,
% 111.97/111.90     (~P1(f4(a1),a3,f2(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[15,7146,7149,25,6860,7074,59,128,55,7141,96,1271,2487,633,7050,17,23,7131,127,43,65,463,2119,240,1205,5585,758,2,26,27,13,10,12,3,14,9,29,11,28,37,36])).
% 111.97/111.90  cnf(7182,plain,
% 111.97/111.90     (~P2(a1,a7,a1)),
% 111.97/111.90     inference(scs_inference,[],[250,5814,2,27])).
% 111.97/111.90  cnf(7184,plain,
% 111.97/111.90     (~P1(f5(a3,a3),a3,f2(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[250,6858,5814,2,27,26])).
% 111.97/111.90  cnf(7190,plain,
% 111.97/111.90     (E(f5(x71901,a3),x71901)),
% 111.97/111.90     inference(rename_variables,[],[127])).
% 111.97/111.90  cnf(7192,plain,
% 111.97/111.90     (E(f5(x71921,a3),x71921)),
% 111.97/111.90     inference(rename_variables,[],[127])).
% 111.97/111.90  cnf(7199,plain,
% 111.97/111.90     (P1(x71991,a1,x71991)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7201,plain,
% 111.97/111.90     (~P1(f5(a1,a1),f2(a1,a1),f4(a7))),
% 111.97/111.90     inference(scs_inference,[],[15,6860,59,128,55,449,191,219,250,928,6811,6858,3773,17,127,7190,7192,43,268,2950,6734,5814,1985,2,27,26,12,13,10,9,14,3,11,28,37])).
% 111.97/111.90  cnf(7202,plain,
% 111.97/111.90     (P1(a1,x72021,x72021)),
% 111.97/111.90     inference(rename_variables,[],[17])).
% 111.97/111.90  cnf(7207,plain,
% 111.97/111.90     (P1(x72071,a1,x72071)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7208,plain,
% 111.97/111.90     (P1(a1,x72081,x72081)),
% 111.97/111.90     inference(rename_variables,[],[17])).
% 111.97/111.90  cnf(7210,plain,
% 111.97/111.90     (P2(f2(a3,a1),f2(a3,a1),a3)),
% 111.97/111.90     inference(scs_inference,[],[15,7199,6860,59,128,55,1454,265,449,191,219,250,928,6811,6858,3773,5593,17,7202,7208,101,87,127,7190,7192,43,268,2950,6734,5814,1985,2,27,26,12,13,10,9,14,3,11,28,37,33,36])).
% 111.97/111.90  cnf(7215,plain,
% 111.97/111.90     (~P2(f2(a1,a1),f5(a7,a3),f2(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[15,7199,7207,6860,7074,59,128,55,1454,265,449,191,219,250,928,6811,6858,3773,5593,17,7202,7208,101,87,127,7190,7192,43,268,2950,6734,5814,1985,7091,2,27,26,12,13,10,9,14,3,11,28,37,33,36,35])).
% 111.97/111.90  cnf(7236,plain,
% 111.97/111.90     (P1(x72361,f2(a1,x72362),f2(x72361,x72362))),
% 111.97/111.90     inference(scs_inference,[],[1950,5061,2,26])).
% 111.97/111.90  cnf(7240,plain,
% 111.97/111.90     (P1(x72401,f5(a1,a3),x72401)),
% 111.97/111.90     inference(scs_inference,[],[15,5448,43,1950,5061,2,26,27,10])).
% 111.97/111.90  cnf(7242,plain,
% 111.97/111.90     (~P2(a1,a7,f2(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[15,7074,5448,43,46,1950,5061,2,26,27,10,12])).
% 111.97/111.90  cnf(7243,plain,
% 111.97/111.90     (E(x72431,f2(x72431,a1))),
% 111.97/111.90     inference(rename_variables,[],[46])).
% 111.97/111.90  cnf(7245,plain,
% 111.97/111.90     (E(f5(x72451,a3),x72451)),
% 111.97/111.90     inference(rename_variables,[],[127])).
% 111.97/111.90  cnf(7246,plain,
% 111.97/111.90     (P1(a1,a1,f4(a3))),
% 111.97/111.90     inference(scs_inference,[],[15,7074,5448,1761,127,43,46,1950,268,5061,2,26,27,10,12,13,11])).
% 111.97/111.90  cnf(7247,plain,
% 111.97/111.90     (P1(x72471,a1,x72471)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7248,plain,
% 111.97/111.90     (~E(a3,f5(a1,a3))),
% 111.97/111.90     inference(scs_inference,[],[15,7074,5448,1761,127,7245,43,46,1950,268,5061,2,26,27,10,12,13,11,3])).
% 111.97/111.90  cnf(7250,plain,
% 111.97/111.90     (P1(f2(x72501,a1),a1,x72501)),
% 111.97/111.90     inference(scs_inference,[],[15,7247,7074,5448,1761,127,7245,43,46,7243,1950,268,5061,2,26,27,10,12,13,11,3,9])).
% 111.97/111.90  cnf(7295,plain,
% 111.97/111.90     (~P2(f2(a6,a7),f2(a3,a3),f2(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[5164,1990,2,27])).
% 111.97/111.90  cnf(7301,plain,
% 111.97/111.90     (~E(f2(a1,a3),a7)),
% 111.97/111.90     inference(scs_inference,[],[265,250,5164,812,7050,1266,1990,2,27,26,10,12])).
% 111.97/111.90  cnf(7302,plain,
% 111.97/111.90     (P2(f2(x73021,a3),x73021,x73021)),
% 111.97/111.90     inference(rename_variables,[],[265])).
% 111.97/111.90  cnf(7306,plain,
% 111.97/111.90     (~P2(f4(a1),f2(a1,a1),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[6860,96,265,250,5164,812,6488,7050,127,1266,1950,268,1990,2,27,26,10,12,13,9,14])).
% 111.97/111.90  cnf(7307,plain,
% 111.97/111.90     (E(f5(x73071,a3),x73071)),
% 111.97/111.90     inference(rename_variables,[],[127])).
% 111.97/111.90  cnf(7310,plain,
% 111.97/111.90     (P1(x73101,a1,x73101)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7312,plain,
% 111.97/111.90     (~P1(a3,a3,a7)),
% 111.97/111.90     inference(scs_inference,[],[15,6860,7182,59,96,265,250,5164,5593,812,6488,7050,127,1266,95,1950,268,5731,2193,1990,2,27,26,10,12,13,9,14,11,28,37])).
% 111.97/111.90  cnf(7320,plain,
% 111.97/111.90     (~P1(a1,f2(a1,a3),a7)),
% 111.97/111.90     inference(scs_inference,[],[15,7310,6860,7182,59,55,96,265,7302,250,5164,5593,4083,812,6488,7050,17,127,495,1266,95,1950,268,5731,2193,1990,6953,2,27,26,10,12,13,9,14,11,28,37,33,36])).
% 111.97/111.90  cnf(7321,plain,
% 111.97/111.90     (P1(a1,x73211,x73211)),
% 111.97/111.90     inference(rename_variables,[],[17])).
% 111.97/111.90  cnf(7322,plain,
% 111.97/111.90     (P1(x73221,a1,x73221)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7323,plain,
% 111.97/111.90     (P2(f2(x73231,a3),x73231,x73231)),
% 111.97/111.90     inference(rename_variables,[],[265])).
% 111.97/111.90  cnf(7326,plain,
% 111.97/111.90     (P2(x73261,x73262,f5(x73262,x73261))),
% 111.97/111.90     inference(rename_variables,[],[128])).
% 111.97/111.90  cnf(7329,plain,
% 111.97/111.90     (P1(x73291,a1,x73291)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7330,plain,
% 111.97/111.90     (P2(f2(x73301,a3),x73301,x73301)),
% 111.97/111.90     inference(rename_variables,[],[265])).
% 111.97/111.90  cnf(7332,plain,
% 111.97/111.90     (P2(f2(a1,a3),a1,f5(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[15,7310,7322,7329,6860,7182,59,128,7326,55,96,265,7302,7323,7330,2487,250,4164,5164,5593,4083,812,6488,7050,17,7321,101,127,495,1266,95,1950,268,1969,5731,2193,1990,6953,2,27,26,10,12,13,9,14,11,28,37,33,36,35,31,34])).
% 111.97/111.90  cnf(7334,plain,
% 111.97/111.90     (P1(a1,x73341,x73341)),
% 111.97/111.90     inference(rename_variables,[],[17])).
% 111.97/111.90  cnf(7335,plain,
% 111.97/111.90     (P1(x73351,a1,x73351)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7336,plain,
% 111.97/111.90     (P2(x73361,x73362,f5(x73362,x73361))),
% 111.97/111.90     inference(rename_variables,[],[128])).
% 111.97/111.90  cnf(7342,plain,
% 111.97/111.90     (~P2(f2(a1,a1),f2(a1,a1),f4(a7))),
% 111.97/111.90     inference(scs_inference,[],[15,7310,7322,7329,7335,6860,7182,59,128,7326,7336,55,96,265,7302,7323,7330,393,2487,250,4164,5164,5464,5593,4083,812,6488,7050,7201,17,7321,7334,101,127,495,1266,95,1950,268,1969,5731,2193,1990,6953,2,27,26,10,12,13,9,14,11,28,37,33,36,35,31,34,32,30])).
% 111.97/111.90  cnf(7347,plain,
% 111.97/111.90     (E(f5(a3,a1),a1)),
% 111.97/111.90     inference(scs_inference,[],[15,7310,7322,7329,7335,6860,7182,59,128,7326,7336,55,96,265,7302,7323,7330,393,2487,250,4164,5164,5464,5593,4083,812,6488,7050,7201,17,7321,7334,101,127,7307,495,1266,95,1950,268,1969,5814,5731,2193,1990,6953,2,27,26,10,12,13,9,14,11,28,37,33,36,35,31,34,32,30,3])).
% 111.97/111.90  cnf(7349,plain,
% 111.97/111.90     (~E(a7,f5(a6,a3))),
% 111.97/111.90     inference(scs_inference,[],[4209,2])).
% 111.97/111.90  cnf(7354,plain,
% 111.97/111.90     (P2(a3,f4(a1),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[2316,127,1263,4209,2,26,27,12])).
% 111.97/111.90  cnf(7355,plain,
% 111.97/111.90     (E(f5(x73551,a3),x73551)),
% 111.97/111.90     inference(rename_variables,[],[127])).
% 111.97/111.90  cnf(7357,plain,
% 111.97/111.90     (E(f5(x73571,a3),x73571)),
% 111.97/111.90     inference(rename_variables,[],[127])).
% 111.97/111.90  cnf(7361,plain,
% 111.97/111.90     (E(f5(x73611,a3),x73611)),
% 111.97/111.90     inference(rename_variables,[],[127])).
% 111.97/111.90  cnf(7364,plain,
% 111.97/111.90     (P2(a3,a1,f4(a3))),
% 111.97/111.90     inference(scs_inference,[],[128,2316,479,444,5593,2213,127,7355,7357,7361,18,1263,6627,4209,2,26,27,12,10,13,11,9,14])).
% 111.97/111.90  cnf(7365,plain,
% 111.97/111.90     (P2(x73651,x73652,f5(x73652,x73651))),
% 111.97/111.90     inference(rename_variables,[],[128])).
% 111.97/111.90  cnf(7369,plain,
% 111.97/111.90     (P1(x73691,a1,x73691)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7371,plain,
% 111.97/111.90     (P2(x73711,f2(x73711,a3),x73711)),
% 111.97/111.90     inference(rename_variables,[],[55])).
% 111.97/111.90  cnf(7374,plain,
% 111.97/111.90     (P2(x73741,x73742,f5(x73742,x73741))),
% 111.97/111.90     inference(rename_variables,[],[128])).
% 111.97/111.90  cnf(7378,plain,
% 111.97/111.90     (~P1(a6,f5(a7,a1),a6)),
% 111.97/111.90     inference(scs_inference,[],[15,7369,25,7182,128,7365,7374,55,7371,2316,479,444,5593,2213,127,7355,7357,7361,23,18,43,5962,1263,6627,6734,4209,4528,2,26,27,12,10,13,11,9,14,3,37,33,36])).
% 111.97/111.90  cnf(7380,plain,
% 111.97/111.90     (P2(x73801,x73802,f5(x73802,x73801))),
% 111.97/111.90     inference(rename_variables,[],[128])).
% 111.97/111.90  cnf(7383,plain,
% 111.97/111.90     (~P1(f5(a1,a7),a6,a6)),
% 111.97/111.90     inference(scs_inference,[],[15,7369,38,25,7182,128,7365,7374,7380,55,7371,2316,479,444,5593,2213,17,87,127,7355,7357,7361,23,18,43,5962,1263,6627,6734,4209,4528,2,26,27,12,10,13,11,9,14,3,37,33,36,35])).
% 111.97/111.90  cnf(7402,plain,
% 111.97/111.90     (E(f2(x74021,a1),f5(x74021,a3))),
% 111.97/111.90     inference(scs_inference,[],[5574,2])).
% 111.97/111.90  cnf(7403,plain,
% 111.97/111.90     (~P2(f2(a1,a1),f2(a1,a7),f5(a6,a1))),
% 111.97/111.90     inference(scs_inference,[],[3398,5574,2,27])).
% 111.97/111.90  cnf(7407,plain,
% 111.97/111.90     (P1(x74071,f2(a1,a1),x74071)),
% 111.97/111.90     inference(scs_inference,[],[15,3398,7050,46,5574,2,27,26,10])).
% 111.97/111.90  cnf(7411,plain,
% 111.97/111.90     (E(x74111,f5(x74111,a3))),
% 111.97/111.90     inference(rename_variables,[],[43])).
% 111.97/111.90  cnf(7414,plain,
% 111.97/111.90     (P1(f2(a1,x74141),a1,x74141)),
% 111.97/111.90     inference(scs_inference,[],[15,802,1163,3398,7050,4965,43,46,557,6627,5574,7000,2,27,26,10,12,13,14,11])).
% 111.97/111.90  cnf(7415,plain,
% 111.97/111.90     (P1(x74151,a1,x74151)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7416,plain,
% 111.97/111.90     (P1(a3,a1,f4(a1))),
% 111.97/111.90     inference(scs_inference,[],[15,7415,802,1163,3398,7050,4965,43,46,240,557,6627,5574,7000,2,27,26,10,12,13,14,11,9])).
% 111.97/111.90  cnf(7417,plain,
% 111.97/111.90     (P1(x74171,a1,x74171)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7421,plain,
% 111.97/111.90     (P2(x74211,f2(x74211,a3),x74211)),
% 111.97/111.90     inference(rename_variables,[],[55])).
% 111.97/111.90  cnf(7423,plain,
% 111.97/111.90     (P2(a3,f5(a3,a1),f5(a1,a3))),
% 111.97/111.90     inference(scs_inference,[],[15,7415,7417,128,55,802,1163,3773,3398,7050,4965,7301,18,43,7411,46,240,557,6627,5574,4784,7000,2,27,26,10,12,13,14,11,9,3,29,37])).
% 111.97/111.90  cnf(7424,plain,
% 111.97/111.90     (P2(x74241,x74242,f5(x74242,x74241))),
% 111.97/111.90     inference(rename_variables,[],[128])).
% 111.97/111.90  cnf(7425,plain,
% 111.97/111.90     (P1(x74251,a1,x74251)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7430,plain,
% 111.97/111.90     (P1(x74301,a1,x74301)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7433,plain,
% 111.97/111.90     (~P1(f2(a1,a1),a3,a7)),
% 111.97/111.90     inference(scs_inference,[],[15,7415,7417,7425,7430,7074,59,128,55,393,802,1163,3773,3398,7050,4965,7301,87,18,43,7411,46,5962,240,557,6627,5574,4784,7000,2,27,26,10,12,13,14,11,9,3,29,37,33,36])).
% 111.97/111.90  cnf(7437,plain,
% 111.97/111.90     (P1(f5(a1,a1),a1,a1)),
% 111.97/111.90     inference(scs_inference,[],[15,7415,7417,7425,7430,7074,59,128,7424,55,7421,393,802,1163,3773,3398,7050,4965,7301,87,18,43,7411,46,5962,240,557,6627,5574,4784,7000,6955,2,27,26,10,12,13,14,11,9,3,29,37,33,36,31])).
% 111.97/111.90  cnf(7439,plain,
% 111.97/111.90     (P2(x74391,x74392,f5(x74392,x74391))),
% 111.97/111.90     inference(rename_variables,[],[128])).
% 111.97/111.90  cnf(7448,plain,
% 111.97/111.90     (P2(x74481,x74482,f5(x74482,x74481))),
% 111.97/111.90     inference(rename_variables,[],[128])).
% 111.97/111.90  cnf(7451,plain,
% 111.97/111.90     (P1(f5(a3,a3),a3,f2(a1,a3))),
% 111.97/111.90     inference(scs_inference,[],[15,7415,7417,7425,7430,7074,59,128,7424,7439,7448,55,7421,1454,393,802,383,1163,3773,3398,7050,4965,6706,7301,87,18,43,7411,230,46,2119,5962,240,557,6627,5021,1064,5574,4784,7000,6955,2,27,26,10,12,13,14,11,9,3,29,37,33,36,31,34,32,30])).
% 111.97/111.90  cnf(7461,plain,
% 111.97/111.90     (P1(x74611,f4(x74611),f2(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[889,4355,2,26])).
% 111.97/111.90  cnf(7463,plain,
% 111.97/111.90     (P2(f2(a3,a1),f2(a1,a1),f2(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[4322,889,4355,2,26,27])).
% 111.97/111.90  cnf(7465,plain,
% 111.97/111.90     (~E(f2(a7,a1),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[1454,4322,6706,889,4355,2,26,27,12])).
% 111.97/111.90  cnf(7468,plain,
% 111.97/111.90     (E(x74681,f5(x74681,a3))),
% 111.97/111.90     inference(rename_variables,[],[43])).
% 111.97/111.90  cnf(7470,plain,
% 111.97/111.90     (P1(f5(a3,a3),a3,f2(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[1454,4322,6488,6706,43,7468,6627,4723,889,4355,2,26,27,12,10,13,9])).
% 111.97/111.90  cnf(7472,plain,
% 111.97/111.90     (~P2(a1,a7,f5(a1,a3))),
% 111.97/111.90     inference(scs_inference,[],[7182,1454,4322,6488,6706,127,43,7468,6627,4723,889,4355,2,26,27,12,10,13,9,14])).
% 111.97/111.90  cnf(7473,plain,
% 111.97/111.90     (E(f5(x74731,a3),x74731)),
% 111.97/111.90     inference(rename_variables,[],[127])).
% 111.97/111.90  cnf(7474,plain,
% 111.97/111.90     (E(f2(x74741,a3),a3)),
% 111.97/111.90     inference(scs_inference,[],[7182,1454,4322,6488,6706,127,7473,43,7468,6627,4723,889,5664,4355,2,26,27,12,10,13,9,14,3])).
% 111.97/111.90  cnf(7475,plain,
% 111.97/111.90     (E(f5(x74751,a3),x74751)),
% 111.97/111.90     inference(rename_variables,[],[127])).
% 111.97/111.90  cnf(7478,plain,
% 111.97/111.90     (~P1(f5(a1,a1),a1,f4(a7))),
% 111.97/111.90     inference(scs_inference,[],[7182,128,55,1454,4322,6488,6706,6794,17,127,7473,7475,43,7468,6627,4723,889,5664,4784,4355,2,26,27,12,10,13,9,14,3,11,37])).
% 111.97/111.90  cnf(7480,plain,
% 111.97/111.90     (P1(a1,x74801,x74801)),
% 111.97/111.90     inference(rename_variables,[],[17])).
% 111.97/111.90  cnf(7484,plain,
% 111.97/111.90     (P1(a1,x74841,x74841)),
% 111.97/111.90     inference(rename_variables,[],[17])).
% 111.97/111.90  cnf(7485,plain,
% 111.97/111.90     (P1(x74851,a1,x74851)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7487,plain,
% 111.97/111.90     (P2(f4(a3),f2(a3,a1),f4(a3))),
% 111.97/111.90     inference(scs_inference,[],[15,7182,128,55,1454,802,4322,5593,6488,6131,6706,6794,17,7480,7484,87,127,7473,7475,43,7468,6627,4723,889,5664,4784,4355,2,26,27,12,10,13,9,14,3,11,37,33,36])).
% 111.97/111.90  cnf(7498,plain,
% 111.97/111.90     (~P1(f2(a1,a1),f2(a1,a1),a3)),
% 111.97/111.90     inference(scs_inference,[],[15,7485,6860,7182,128,55,1454,802,4322,5593,778,6488,6131,6706,6794,17,7480,7484,87,127,7473,7475,43,7468,5962,6627,4723,889,5664,4784,4355,7091,2,26,27,12,10,13,9,14,3,11,37,33,36,35,34])).
% 111.97/111.90  cnf(7513,plain,
% 111.97/111.90     (E(a1,f5(a3,a1))),
% 111.97/111.90     inference(scs_inference,[],[7347,2])).
% 111.97/111.90  cnf(7514,plain,
% 111.97/111.90     (~P2(f4(a3),f2(a1,a1),f5(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[6488,7347,2,27])).
% 111.97/111.90  cnf(7519,plain,
% 111.97/111.90     (E(f5(x75191,a3),x75191)),
% 111.97/111.90     inference(rename_variables,[],[127])).
% 111.97/111.90  cnf(7520,plain,
% 111.97/111.90     (P2(f5(a3,a3),a1,f2(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[1163,5593,6488,2932,127,43,7347,2,27,26,10,12])).
% 111.97/111.90  cnf(7523,plain,
% 111.97/111.90     (E(f5(x75231,a3),x75231)),
% 111.97/111.90     inference(rename_variables,[],[127])).
% 111.97/111.90  cnf(7527,plain,
% 111.97/111.90     (E(f5(x75271,a3),x75271)),
% 111.97/111.90     inference(rename_variables,[],[127])).
% 111.97/111.90  cnf(7530,plain,
% 111.97/111.90     (P2(a3,x75301,f2(x75301,a1))),
% 111.97/111.90     inference(scs_inference,[],[128,1163,5593,3773,7050,6488,6706,1976,2932,127,7519,7523,7527,43,463,5574,7347,2,27,26,10,12,13,3,9,11,14])).
% 111.97/111.90  cnf(7532,plain,
% 111.97/111.90     (P2(x75321,x75322,f5(x75322,x75321))),
% 111.97/111.90     inference(rename_variables,[],[128])).
% 111.97/111.90  cnf(7533,plain,
% 111.97/111.90     (~P1(f5(a1,a3),f5(a3,a3),f2(a1,a7))),
% 111.97/111.90     inference(scs_inference,[],[128,7532,2487,1163,5593,3773,7050,6488,6706,1976,2932,101,127,7519,7523,7527,18,43,463,5574,7347,2,27,26,10,12,13,3,9,11,14,37])).
% 111.97/111.90  cnf(7534,plain,
% 111.97/111.90     (P2(x75341,x75342,f5(x75342,x75341))),
% 111.97/111.90     inference(rename_variables,[],[128])).
% 111.97/111.90  cnf(7537,plain,
% 111.97/111.90     (~P2(f2(a7,a1),a1,a1)),
% 111.97/111.90     inference(scs_inference,[],[15,38,128,7532,2487,1163,5593,3773,7050,6488,6706,1976,2932,101,127,7519,7523,7527,18,43,1266,463,5574,7347,2,27,26,10,12,13,3,9,11,14,37,36])).
% 111.97/111.90  cnf(7540,plain,
% 111.97/111.90     (P1(x75401,a1,x75401)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7543,plain,
% 111.97/111.90     (P2(x75431,x75432,f5(x75432,x75431))),
% 111.97/111.90     inference(rename_variables,[],[128])).
% 111.97/111.90  cnf(7547,plain,
% 111.97/111.90     (P2(f5(a1,a3),f5(a1,a3),f5(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[15,7540,38,59,128,7532,7534,7543,2487,1163,5593,3773,7050,6488,6706,1976,2932,17,101,127,7519,7523,7527,18,43,24,1266,463,5574,7240,7347,2,27,26,10,12,13,3,9,11,14,37,36,31,35])).
% 111.97/111.90  cnf(7575,plain,
% 111.97/111.90     (P2(a3,f5(a3,a1),f2(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[2853,7465,5241,2,26,27])).
% 111.97/111.90  cnf(7578,plain,
% 111.97/111.90     (P1(a1,a3,f4(a1))),
% 111.97/111.90     inference(scs_inference,[],[7514,2853,7465,17,240,268,5241,2,26,27,12,10])).
% 111.97/111.90  cnf(7579,plain,
% 111.97/111.90     (P1(a1,x75791,x75791)),
% 111.97/111.90     inference(rename_variables,[],[17])).
% 111.97/111.90  cnf(7581,plain,
% 111.97/111.90     (E(x75811,f5(x75811,a3))),
% 111.97/111.90     inference(rename_variables,[],[43])).
% 111.97/111.90  cnf(7582,plain,
% 111.97/111.90     (P1(f5(a1,a3),a1,f4(a3))),
% 111.97/111.90     inference(scs_inference,[],[15,7514,2853,7465,17,43,240,268,6627,5241,2,26,27,12,10,13,11])).
% 111.97/111.90  cnf(7583,plain,
% 111.97/111.90     (P1(x75831,a1,x75831)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7587,plain,
% 111.97/111.90     (P1(f2(a3,a3),a1,a3)),
% 111.97/111.90     inference(scs_inference,[],[15,7583,6860,7514,2853,778,7465,17,43,7581,240,268,6627,1593,5241,5061,2,26,27,12,10,13,11,14,3,9])).
% 111.97/111.90  cnf(7588,plain,
% 111.97/111.90     (P1(x75881,a1,x75881)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7590,plain,
% 111.97/111.90     (P1(x75901,a1,x75901)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7592,plain,
% 111.97/111.90     (~P1(a1,a3,f2(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[15,7583,7588,6860,7514,802,2853,778,6811,7301,7465,17,43,7581,495,240,268,6627,1593,5241,5061,2,26,27,12,10,13,11,14,3,9,28,37])).
% 111.97/111.90  cnf(7594,plain,
% 111.97/111.90     (P1(f4(a3),x75941,x75941)),
% 111.97/111.90     inference(rename_variables,[],[495])).
% 111.97/111.90  cnf(7601,plain,
% 111.97/111.90     (~P2(f2(a1,a1),a1,a3)),
% 111.97/111.90     inference(scs_inference,[],[15,7583,7588,7590,6860,7514,96,802,2853,778,6811,6488,7301,7465,17,130,18,43,7581,495,7594,626,5962,240,268,6627,1593,5241,5061,2,26,27,12,10,13,11,14,3,9,28,37,33,36])).
% 111.97/111.90  cnf(7603,plain,
% 111.97/111.90     (P1(x76031,a1,x76031)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7607,plain,
% 111.97/111.90     (P1(x76071,a1,x76071)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7611,plain,
% 111.97/111.90     (P1(a1,x76111,x76111)),
% 111.97/111.90     inference(rename_variables,[],[17])).
% 111.97/111.90  cnf(7612,plain,
% 111.97/111.90     (P1(x76121,a1,x76121)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7613,plain,
% 111.97/111.90     (P2(x76131,x76132,f5(x76132,x76131))),
% 111.97/111.90     inference(rename_variables,[],[128])).
% 111.97/111.90  cnf(7615,plain,
% 111.97/111.90     (P2(f5(a3,a3),a1,f5(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[15,7583,7588,7590,7603,7607,7612,6860,7514,128,7613,96,449,802,250,2853,778,6811,6488,6131,7301,7465,7498,17,7579,7611,130,18,43,7581,495,7594,626,5962,240,268,6627,1593,5241,5061,7530,2,26,27,12,10,13,11,14,3,9,28,37,33,36,31,35,34])).
% 111.97/111.90  cnf(7616,plain,
% 111.97/111.90     (P1(x76161,a1,x76161)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7620,plain,
% 111.97/111.90     (~P2(f5(a3,a3),f5(a3,a3),f2(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[15,7583,7588,7590,7603,7607,7612,7616,6860,7514,128,7613,96,449,802,250,3076,2853,778,6811,6488,6131,7301,7465,7498,17,7579,7611,130,18,43,7581,495,7594,626,5962,240,268,6627,1593,5241,1561,5061,7530,2,26,27,12,10,13,11,14,3,9,28,37,33,36,31,35,34,32])).
% 111.97/111.90  cnf(7633,plain,
% 111.97/111.90     (E(x76331,f5(x76331,a3))),
% 111.97/111.90     inference(rename_variables,[],[43])).
% 111.97/111.90  cnf(7634,plain,
% 111.97/111.90     (~P2(f5(a1,a3),f2(a1,a3),f4(a7))),
% 111.97/111.90     inference(scs_inference,[],[6706,6794,1259,127,43,5021,7093,2,27,26,10,12])).
% 111.97/111.90  cnf(7635,plain,
% 111.97/111.90     (E(f5(x76351,a3),x76351)),
% 111.97/111.90     inference(rename_variables,[],[127])).
% 111.97/111.90  cnf(7643,plain,
% 111.97/111.90     (P1(x76431,a1,x76431)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7644,plain,
% 111.97/111.90     (P2(x76441,f2(x76441,a3),x76441)),
% 111.97/111.90     inference(rename_variables,[],[55])).
% 111.97/111.90  cnf(7645,plain,
% 111.97/111.90     (P2(x76451,x76452,f5(x76452,x76451))),
% 111.97/111.90     inference(rename_variables,[],[128])).
% 111.97/111.90  cnf(7649,plain,
% 111.97/111.90     (P2(x76491,x76492,f5(x76492,x76491))),
% 111.97/111.90     inference(rename_variables,[],[128])).
% 111.97/111.90  cnf(7650,plain,
% 111.97/111.90     (P1(x76501,a1,x76501)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7652,plain,
% 111.97/111.90     (~P1(a6,f5(a6,a7),a6)),
% 111.97/111.90     inference(scs_inference,[],[15,7643,38,7295,128,7645,7649,55,7644,250,6706,6794,2365,1259,7533,7378,127,7635,43,7633,23,5962,1593,5241,5021,4910,7093,2,27,26,10,12,13,11,9,14,37,33,36])).
% 111.97/111.90  cnf(7658,plain,
% 111.97/111.90     (P1(x76581,a1,x76581)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7662,plain,
% 111.97/111.90     (P2(f5(a3,a1),f2(a1,a3),f2(a1,a1))),
% 111.97/111.90     inference(scs_inference,[],[15,7643,7650,7658,38,7295,59,128,7645,7649,55,7644,250,508,6706,5464,6794,2365,1259,7533,7378,87,127,7635,43,7633,23,5962,1593,5241,5021,5731,4910,7093,2,27,26,10,12,13,11,9,14,37,33,36,31,35])).
% 111.97/111.90  cnf(7663,plain,
% 111.97/111.90     (P1(x76631,a1,x76631)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7666,plain,
% 111.97/111.90     (~P2(a1,a3,a3)),
% 111.97/111.90     inference(scs_inference,[],[15,7643,7650,7658,7663,38,7295,59,128,7645,7649,55,7644,250,508,6706,5464,7498,6794,2365,1259,7533,7378,87,127,7635,43,7633,23,5962,1593,5241,5021,5731,4910,7093,2,27,26,10,12,13,11,9,14,37,33,36,31,35,32])).
% 111.97/111.90  cnf(7669,plain,
% 111.97/111.90     (~P2(f5(a1,a3),a7,f5(a1,a3))),
% 111.97/111.90     inference(scs_inference,[],[15,7643,7650,7658,7663,38,7182,7295,59,128,7645,7649,55,7644,250,508,6706,5464,7498,6794,2365,1259,7533,7378,87,127,7635,43,7633,23,5962,1593,5241,5021,5731,4910,3547,7093,2,27,26,10,12,13,11,9,14,37,33,36,31,35,32,34])).
% 111.97/111.90  cnf(7683,plain,
% 111.97/111.90     (E(f5(x76831,a3),x76831)),
% 111.97/111.90     inference(rename_variables,[],[127])).
% 111.97/111.90  cnf(7685,plain,
% 111.97/111.90     (E(f5(x76851,a3),x76851)),
% 111.97/111.90     inference(rename_variables,[],[127])).
% 111.97/111.90  cnf(7690,plain,
% 111.97/111.90     (E(f5(x76901,a3),x76901)),
% 111.97/111.90     inference(rename_variables,[],[127])).
% 111.97/111.90  cnf(7691,plain,
% 111.97/111.90     (P2(a3,f2(a3,a3),f4(a1))),
% 111.97/111.90     inference(scs_inference,[],[55,265,778,3445,7498,812,6993,127,7683,7685,4515,4790,4610,2,26,27,12,10,13,11,14])).
% 111.97/111.90  cnf(7692,plain,
% 111.97/111.90     (P2(x76921,f2(x76921,a3),x76921)),
% 111.97/111.90     inference(rename_variables,[],[55])).
% 111.97/111.90  cnf(7696,plain,
% 111.97/111.90     (P2(x76961,x76962,f5(x76962,x76961))),
% 111.97/111.90     inference(rename_variables,[],[128])).
% 111.97/111.90  cnf(7698,plain,
% 111.97/111.90     (~P2(a1,a1,f4(a1))),
% 111.97/111.90     inference(scs_inference,[],[59,128,55,265,778,3445,7498,1976,812,7465,6993,17,127,7683,7685,7690,4515,758,4790,4610,7666,2,26,27,12,10,13,11,14,9,29,37])).
% 111.97/111.90  cnf(7700,plain,
% 111.97/111.90     (P1(a1,x77001,x77001)),
% 111.97/111.90     inference(rename_variables,[],[17])).
% 111.97/111.90  cnf(7711,plain,
% 111.97/111.90     (~P1(a1,a3,a7)),
% 111.97/111.90     inference(scs_inference,[],[15,7182,59,128,7696,55,7692,265,393,802,778,3445,7498,1976,812,7465,6993,17,7700,127,7683,7685,7690,4515,758,4790,4610,6880,7666,7407,7246,2,26,27,12,10,13,11,14,9,29,37,33,31,36])).
% 111.97/111.90  cnf(7732,plain,
% 111.97/111.90     (E(f2(a1,x77321),f5(x77321,a3))),
% 111.97/111.90     inference(scs_inference,[],[7134,2])).
% 111.97/111.90  cnf(7733,plain,
% 111.97/111.90     (~P2(f2(a7,a1),a1,f5(a6,a1))),
% 111.97/111.90     inference(scs_inference,[],[2365,7134,2,27])).
% 111.97/111.90  cnf(7738,plain,
% 111.97/111.90     (P1(a1,x77381,x77381)),
% 111.97/111.90     inference(rename_variables,[],[17])).
% 111.97/111.90  cnf(7743,plain,
% 111.97/111.90     (P1(x77431,a1,x77431)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7745,plain,
% 111.97/111.90     (P1(x77451,a1,x77451)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7748,plain,
% 111.97/111.90     (~P1(f4(a3),f4(a3),a3)),
% 111.97/111.90     inference(scs_inference,[],[15,7743,7745,7514,802,6811,3746,2365,7533,17,127,43,6627,5814,4016,7000,7134,2,27,26,10,13,12,11,9,14,37])).
% 111.97/111.90  cnf(7750,plain,
% 111.97/111.90     (P1(x77501,a1,x77501)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7753,plain,
% 111.97/111.90     (P1(a1,x77531,x77531)),
% 111.97/111.90     inference(rename_variables,[],[17])).
% 111.97/111.90  cnf(7755,plain,
% 111.97/111.90     (P2(f2(a1,a3),a3,a3)),
% 111.97/111.90     inference(scs_inference,[],[15,7743,7745,7514,802,1761,6811,3746,2365,6877,7533,7320,17,7738,7753,101,127,43,6627,5814,4016,7000,7134,2,27,26,10,13,12,11,9,14,37,33,36])).
% 111.97/111.90  cnf(7758,plain,
% 111.97/111.90     (~P2(f4(a1),a3,f5(a7,a3))),
% 111.97/111.90     inference(scs_inference,[],[15,7743,7745,7750,7514,6967,802,1761,6811,3746,2365,6877,7533,7320,17,7738,7753,101,127,130,43,23,6627,5814,4016,7000,7134,2,27,26,10,13,12,11,9,14,37,33,36,35])).
% 111.97/111.90  cnf(7778,plain,
% 111.97/111.90     (P1(a1,a3,f2(a3,a3))),
% 111.97/111.90     inference(scs_inference,[],[2720,3208,2,26])).
% 111.97/111.90  cnf(7780,plain,
% 111.97/111.90     (P2(a1,f5(a3,a3),a1)),
% 111.97/111.90     inference(scs_inference,[],[6131,2720,3208,2,26,27])).
% 111.97/111.90  cnf(7783,plain,
% 111.97/111.90     (~E(f2(a6,a1),f2(a7,a1))),
% 111.97/111.90     inference(scs_inference,[],[7733,1454,6131,681,2720,3208,2,26,27,13,12])).
% 111.97/111.90  cnf(7784,plain,
% 111.97/111.90     (P2(f2(x77841,a1),x77842,f5(x77841,x77842))),
% 111.97/111.90     inference(rename_variables,[],[1454])).
% 111.97/111.90  cnf(7788,plain,
% 111.97/111.90     (E(x77881,f5(x77881,a3))),
% 111.97/111.90     inference(rename_variables,[],[43])).
% 111.97/111.90  cnf(7794,plain,
% 111.97/111.90     (P2(x77941,x77942,f5(x77942,x77941))),
% 111.97/111.90     inference(rename_variables,[],[128])).
% 111.97/111.90  cnf(7795,plain,
% 111.97/111.90     (P1(a1,x77951,x77951)),
% 111.97/111.90     inference(rename_variables,[],[17])).
% 111.97/111.90  cnf(7798,plain,
% 111.97/111.90     (~P2(f2(a1,a1),f5(a3,a3),a3)),
% 111.97/111.90     inference(scs_inference,[],[15,7733,59,128,1454,7498,6131,891,7748,17,127,43,7788,24,21,2119,1064,681,2720,4440,3208,2,26,27,13,12,10,11,14,9,31,33])).
% 111.97/111.90  cnf(7800,plain,
% 111.97/111.90     (P1(x78001,a1,x78001)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7805,plain,
% 111.97/111.90     (P1(x78051,a1,x78051)),
% 111.97/111.90     inference(rename_variables,[],[15])).
% 111.97/111.90  cnf(7807,plain,
% 111.97/111.90     (P2(f2(a1,a1),f2(a1,a1),f5(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,7800,38,7733,59,128,7794,1454,7498,6131,891,7748,17,7795,127,43,7788,24,21,2119,1064,681,2720,4440,3208,7407,7236,2,26,27,13,12,10,11,14,9,31,33,36,35])).
% 111.97/111.91  cnf(7810,plain,
% 111.97/111.91     (P1(a1,x78101,x78101)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(7811,plain,
% 111.97/111.91     (P2(x78111,x78112,f5(x78112,x78111))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(7814,plain,
% 111.97/111.91     (P2(f2(x78141,a1),x78142,f5(x78141,x78142))),
% 111.97/111.91     inference(rename_variables,[],[1454])).
% 111.97/111.91  cnf(7826,plain,
% 111.97/111.91     (~P1(f4(a3),f4(a1),a7)),
% 111.97/111.91     inference(scs_inference,[],[15,7800,7805,38,7733,59,128,7794,7811,1454,7784,7814,265,633,7498,6131,891,7748,7592,17,7795,7810,127,43,7788,24,495,21,2119,22,1064,681,2720,4440,3208,7407,7184,7236,2,26,27,13,12,10,11,14,9,31,33,36,35,32,34,30,28])).
% 111.97/111.91  cnf(7833,plain,
% 111.97/111.91     (E(a3,f2(x78331,a3))),
% 111.97/111.91     inference(scs_inference,[],[7474,2])).
% 111.97/111.91  cnf(7834,plain,
% 111.97/111.91     (~P2(f2(a6,a3),f4(a3),f4(a7))),
% 111.97/111.91     inference(scs_inference,[],[4965,7474,2,27])).
% 111.97/111.91  cnf(7839,plain,
% 111.97/111.91     (E(f5(x78391,a3),x78391)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(7841,plain,
% 111.97/111.91     (E(f5(x78411,a3),x78411)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(7843,plain,
% 111.97/111.91     (E(f5(x78431,a3),x78431)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(7845,plain,
% 111.97/111.91     (E(f5(x78451,a3),x78451)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(7848,plain,
% 111.97/111.91     (P2(a1,a3,f4(a3))),
% 111.97/111.91     inference(scs_inference,[],[7733,59,1629,6858,532,4965,7748,7320,127,7839,7841,7843,7845,1765,7474,2,27,26,12,10,13,11,9,14])).
% 111.97/111.91  cnf(7850,plain,
% 111.97/111.91     (P1(x78501,a1,x78501)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(7852,plain,
% 111.97/111.91     (~P2(f4(x78521),a1,f4(a7))),
% 111.97/111.91     inference(scs_inference,[],[15,7850,7733,59,1629,3562,6858,7465,532,4965,7748,7320,17,127,7839,7841,7843,7845,1765,4560,7474,2,27,26,12,10,13,11,9,14,28,37])).
% 111.97/111.91  cnf(7854,plain,
% 111.97/111.91     (P1(x78541,a1,x78541)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(7855,plain,
% 111.97/111.91     (P1(a1,x78551,x78551)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(7859,plain,
% 111.97/111.91     (P1(x78591,a1,x78591)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(7862,plain,
% 111.97/111.91     (P1(a1,x78621,x78621)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(7863,plain,
% 111.97/111.91     (P1(x78631,a1,x78631)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(7866,plain,
% 111.97/111.91     (~P1(f2(a1,a1),f5(a3,a1),f5(a3,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,7850,7854,7859,7733,59,1454,508,7498,3076,1629,3562,6858,7465,532,4965,7748,7320,7575,17,7855,127,7839,7841,7843,7845,2119,1765,4560,7474,2,27,26,12,10,13,11,9,14,28,37,31,36,33])).
% 111.97/111.91  cnf(7872,plain,
% 111.97/111.91     (~P2(f4(a1),a3,f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,7850,7854,7859,7863,7733,59,128,1454,2487,508,6811,7498,3076,1629,3562,6858,7465,532,4965,7748,7320,7575,17,7855,127,7839,7841,7843,7845,65,2119,1765,4560,7474,2,27,26,12,10,13,11,9,14,28,37,31,36,33,35,32])).
% 111.97/111.91  cnf(7875,plain,
% 111.97/111.91     (P2(f2(a3,a3),f5(a3,a3),a3)),
% 111.97/111.91     inference(scs_inference,[],[15,7850,7854,7859,7863,7733,59,128,1454,2487,508,5448,6811,7498,3076,1629,3562,6858,7465,532,4965,7748,7320,7575,7780,17,7855,7862,101,127,7839,7841,7843,7845,65,2119,1765,4560,7474,2,27,26,12,10,13,11,9,14,28,37,31,36,33,35,32,34])).
% 111.97/111.91  cnf(7878,plain,
% 111.97/111.91     (~P1(f5(a3,a3),f5(a3,a3),a1)),
% 111.97/111.91     inference(scs_inference,[],[15,7850,7854,7859,7863,7733,59,128,1454,2487,393,508,5448,6811,7498,3076,1629,3562,6858,7465,532,4965,7748,7320,7575,7780,17,7855,7862,101,127,7839,7841,7843,7845,65,2119,1765,4560,6866,7474,2,27,26,12,10,13,11,9,14,28,37,31,36,33,35,32,34,30])).
% 111.97/111.91  cnf(7884,plain,
% 111.97/111.91     (P1(f2(a1,a1),f5(a1,a1),a1)),
% 111.97/111.91     inference(scs_inference,[],[5350,7783,1311,2,27,26])).
% 111.97/111.91  cnf(7886,plain,
% 111.97/111.91     (~E(a7,a6)),
% 111.97/111.91     inference(scs_inference,[],[5350,7783,1311,2,27,26,5])).
% 111.97/111.91  cnf(7888,plain,
% 111.97/111.91     (P1(a1,x78881,x78881)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(7889,plain,
% 111.97/111.91     (P2(f2(a3,a1),a1,f5(a1,a3))),
% 111.97/111.91     inference(scs_inference,[],[3746,5350,7783,17,127,5814,1311,2,27,26,5,10,13])).
% 111.97/111.91  cnf(7891,plain,
% 111.97/111.91     (~P2(f4(a3),a7,a1)),
% 111.97/111.91     inference(scs_inference,[],[7182,3746,5350,7783,17,127,681,5814,1311,2,27,26,5,10,13,12])).
% 111.97/111.91  cnf(7893,plain,
% 111.97/111.91     (P1(x78931,a1,x78931)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(7896,plain,
% 111.97/111.91     (P1(x78961,a1,x78961)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(7900,plain,
% 111.97/111.91     (~P1(f2(a6,a1),f5(a7,a1),a6)),
% 111.97/111.91     inference(scs_inference,[],[15,7893,25,7182,128,265,3746,5350,1362,7783,7634,17,127,1263,5021,681,5814,5574,1311,7250,2,27,26,5,10,13,12,11,14,9,37,36])).
% 111.97/111.91  cnf(7902,plain,
% 111.97/111.91     (P2(x79021,x79022,f5(x79022,x79021))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(7906,plain,
% 111.97/111.91     (P2(x79061,f2(x79061,a3),x79061)),
% 111.97/111.91     inference(rename_variables,[],[55])).
% 111.97/111.91  cnf(7910,plain,
% 111.97/111.91     (P1(x79101,a1,x79101)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(7915,plain,
% 111.97/111.91     (P1(a1,x79151,x79151)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(7917,plain,
% 111.97/111.91     (~P2(f4(a1),a3,a1)),
% 111.97/111.91     inference(scs_inference,[],[15,7893,7896,7910,25,7182,59,128,7902,55,7906,265,2487,3746,5350,1362,7378,7783,7634,17,7888,7915,127,5962,1263,5021,681,5814,5574,1311,7451,7878,7872,7250,2,27,26,5,10,13,12,11,14,9,37,36,33,31,35,34])).
% 111.97/111.91  cnf(7934,plain,
% 111.97/111.91     (~P2(f5(a3,a3),f2(x79341,a3),f2(a6,a7))),
% 111.97/111.91     inference(scs_inference,[],[5390,27])).
% 111.97/111.91  cnf(7939,plain,
% 111.97/111.91     (E(x79391,f5(x79391,a3))),
% 111.97/111.91     inference(rename_variables,[],[43])).
% 111.97/111.91  cnf(7941,plain,
% 111.97/111.91     (E(f5(x79411,a3),x79411)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(7944,plain,
% 111.97/111.91     (E(f5(x79441,a3),x79441)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(7950,plain,
% 111.97/111.91     (~P2(a1,f2(a1,a3),a3)),
% 111.97/111.91     inference(scs_inference,[],[7834,55,2365,7378,639,5390,127,7941,7944,43,7939,6627,5061,2720,6641,2960,7866,27,26,10,12,13,14,11,9,3,29])).
% 111.97/111.91  cnf(7951,plain,
% 111.97/111.91     (P2(x79511,f2(x79511,a3),x79511)),
% 111.97/111.91     inference(rename_variables,[],[55])).
% 111.97/111.91  cnf(7954,plain,
% 111.97/111.91     (P1(x79541,a1,x79541)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(7958,plain,
% 111.97/111.91     (P2(x79581,x79582,f5(x79582,x79581))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(7960,plain,
% 111.97/111.91     (~P1(f5(a3,a3),f2(a1,a1),f5(a7,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,7954,6967,7834,59,128,55,7951,2365,7378,639,5390,7780,7242,101,127,7941,7944,43,7939,6627,5061,2720,6641,2960,7866,7470,27,26,10,12,13,14,11,9,3,29,37,31,36])).
% 111.97/111.91  cnf(7961,plain,
% 111.97/111.91     (P1(x79611,a1,x79611)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(7964,plain,
% 111.97/111.91     (P2(x79641,x79642,f5(x79642,x79641))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(7966,plain,
% 111.97/111.91     (~P1(a1,f5(a1,a3),f4(a1))),
% 111.97/111.91     inference(scs_inference,[],[15,7954,7961,6967,7834,59,128,7958,55,7951,6811,2365,7378,639,5390,7780,7242,101,127,7941,7944,43,7939,230,6627,5061,2720,6641,2960,7872,7866,7470,7578,27,26,10,12,13,14,11,9,3,29,37,31,36,32,34])).
% 111.97/111.91  cnf(7970,plain,
% 111.97/111.91     (P1(f5(a1,a1),f5(a3,a3),f4(a1))),
% 111.97/111.91     inference(scs_inference,[],[15,7954,7961,6967,7834,59,128,7958,7964,55,7951,6811,6735,2365,7378,639,5390,7780,7242,101,127,7941,7944,43,7939,230,6627,5061,2720,6641,2960,7872,7866,7470,7578,27,26,10,12,13,14,11,9,3,29,37,31,36,32,34,30])).
% 111.97/111.91  cnf(7980,plain,
% 111.97/111.91     (P2(f2(a3,a3),f5(a3,a3),f2(a1,a3))),
% 111.97/111.91     inference(scs_inference,[],[5799,27])).
% 111.97/111.91  cnf(7985,plain,
% 111.97/111.91     (E(f5(x79851,a3),x79851)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(7989,plain,
% 111.97/111.91     (E(f5(x79891,a3),x79891)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(7991,plain,
% 111.97/111.91     (E(f5(x79911,a3),x79911)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(7994,plain,
% 111.97/111.91     (P2(x79941,x79942,f5(x79942,x79941))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(7999,plain,
% 111.97/111.91     (P1(x79991,a1,x79991)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8004,plain,
% 111.97/111.91     (P1(x80041,x80041,x80041)),
% 111.97/111.91     inference(rename_variables,[],[5962])).
% 111.97/111.91  cnf(8006,plain,
% 111.97/111.91     (P2(f4(a1),f2(a3,a1),f2(a3,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,6860,128,7994,158,6811,6735,5799,7378,1259,7698,17,127,7985,7989,7991,87,43,130,5962,4784,7134,27,26,10,12,13,11,14,9,33,37,36])).
% 111.97/111.91  cnf(8007,plain,
% 111.97/111.91     (P1(a1,x80071,x80071)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(8009,plain,
% 111.97/111.91     (P1(x80091,x80092,f2(x80092,x80091))),
% 111.97/111.91     inference(rename_variables,[],[87])).
% 111.97/111.91  cnf(8011,plain,
% 111.97/111.91     (P2(f2(a1,a3),f2(a1,a3),f4(a1))),
% 111.97/111.91     inference(scs_inference,[],[15,7999,6860,128,7994,158,6811,6735,5799,7378,1259,7698,17,127,7985,7989,7991,87,8009,43,130,5962,4784,7134,27,26,10,12,13,11,14,9,33,37,36,35])).
% 111.97/111.91  cnf(8012,plain,
% 111.97/111.91     (P1(x80121,a1,x80121)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8017,plain,
% 111.97/111.91     (P2(f2(x80171,a3),x80171,x80171)),
% 111.97/111.91     inference(rename_variables,[],[265])).
% 111.97/111.91  cnf(8020,plain,
% 111.97/111.91     (~P1(a1,a1,a3)),
% 111.97/111.91     inference(scs_inference,[],[15,7999,6860,59,128,7994,158,265,6811,6735,3562,5799,7378,1259,7698,17,8007,127,7985,7989,7991,87,8009,43,130,5962,8004,4784,7134,27,26,10,12,13,11,14,9,33,37,36,35,32,34])).
% 111.97/111.91  cnf(8024,plain,
% 111.97/111.91     (~P1(f2(a3,a3),a1,a1)+P1(a3,a1,f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,7999,8012,6860,59,128,7994,158,265,8017,6811,6735,3562,5799,7378,1259,7698,17,8007,127,7985,7989,7991,87,8009,43,130,5962,8004,4784,7134,27,26,10,12,13,11,14,9,33,37,36,35,32,34,30])).
% 111.97/111.91  cnf(8031,plain,
% 111.97/111.91     (~P2(a7,a1,f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[7242,27])).
% 111.97/111.91  cnf(8033,plain,
% 111.97/111.91     (~P1(a3,a1,f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[7242,7592,27,26])).
% 111.97/111.91  cnf(8036,plain,
% 111.97/111.91     (P1(a1,x80361,x80361)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(8044,plain,
% 111.97/111.91     (P1(x80441,a1,x80441)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8045,plain,
% 111.97/111.91     (P1(f5(a3,a3),a1,f2(x80451,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,8044,7074,6735,1413,7242,7592,17,127,43,5574,5664,27,26,10,13,12,14,11,9])).
% 111.97/111.91  cnf(8046,plain,
% 111.97/111.91     (P1(x80461,a1,x80461)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8049,plain,
% 111.97/111.91     (P1(x80491,a1,x80491)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8051,plain,
% 111.97/111.91     (~P1(a3,f2(a1,a1),f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,8044,8046,8049,6860,7074,59,6811,7498,6735,3562,1413,7242,7592,17,127,43,1950,5574,5664,27,26,10,13,12,14,11,9,33,37])).
% 111.97/111.91  cnf(8052,plain,
% 111.97/111.91     (P1(x80521,a1,x80521)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8055,plain,
% 111.97/111.91     (P2(f4(a1),f4(a1),f4(a1))),
% 111.97/111.91     inference(scs_inference,[],[15,8044,8046,8049,6860,7074,59,6811,7498,6735,3562,1413,7242,7592,17,127,43,18,1950,5574,5664,7578,27,26,10,13,12,14,11,9,33,37,36])).
% 111.97/111.91  cnf(8058,plain,
% 111.97/111.91     (~P2(f4(a3),a7,f4(a3))),
% 111.97/111.91     inference(scs_inference,[],[15,8044,8046,8049,8052,6860,7182,7074,59,6811,7498,6735,3562,1413,7242,7592,17,127,43,18,495,1950,5574,5664,7578,27,26,10,13,12,14,11,9,33,37,36,35])).
% 111.97/111.91  cnf(8060,plain,
% 111.97/111.91     (P1(x80601,a1,x80601)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8064,plain,
% 111.97/111.91     (P2(x80641,x80642,f5(x80642,x80641))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(8067,plain,
% 111.97/111.91     (P2(f2(x80671,a3),x80671,x80671)),
% 111.97/111.91     inference(rename_variables,[],[265])).
% 111.97/111.91  cnf(8068,plain,
% 111.97/111.91     (P2(x80681,x80682,f5(x80682,x80681))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(8080,plain,
% 111.97/111.91     (~P1(a1,a3,a1)),
% 111.97/111.91     inference(scs_inference,[],[15,8044,8046,8049,8052,8060,6860,7182,7074,7733,59,128,8064,8068,1454,265,8067,6811,7498,6735,3562,6858,1413,7780,7242,7592,17,8036,127,43,18,495,1950,5574,5664,7240,7578,27,26,10,13,12,14,11,9,33,37,36,35,31,32,34,30,2343,6659])).
% 111.97/111.91  cnf(8081,plain,
% 111.97/111.91     (~P1(f2(a3,a3),a1,a1)),
% 111.97/111.91     inference(scs_inference,[],[15,8044,8046,8049,8052,8060,6860,7182,7074,7733,59,128,8064,8068,1454,265,8067,6811,7498,6735,3562,6858,1413,7780,7242,7592,17,8036,127,43,18,495,1950,5574,5664,7240,7578,27,26,10,13,12,14,11,9,33,37,36,35,31,32,34,30,2343,6659,8024])).
% 111.97/111.91  cnf(8087,plain,
% 111.97/111.91     (P1(f2(a1,a1),f2(x80871,a3),a3)),
% 111.97/111.91     inference(scs_inference,[],[5320,4440,27,26])).
% 111.97/111.91  cnf(8091,plain,
% 111.97/111.91     (~P2(f5(a1,a3),a1,f4(a1))),
% 111.97/111.91     inference(scs_inference,[],[7834,5320,7698,8020,127,268,1064,4440,27,26,13,10,12])).
% 111.97/111.91  cnf(8092,plain,
% 111.97/111.91     (E(f5(x80921,a3),x80921)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8094,plain,
% 111.97/111.91     (E(f5(x80941,a3),x80941)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8100,plain,
% 111.97/111.91     (P1(x81001,a1,x81001)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8106,plain,
% 111.97/111.91     (~P2(f5(a3,a3),f5(a3,a3),a1)),
% 111.97/111.91     inference(scs_inference,[],[15,8100,7834,96,7498,5320,7783,7698,3447,8020,7520,17,127,8092,8094,87,18,268,4723,1064,758,4440,4042,7620,27,26,13,10,12,14,11,9,28,33,37])).
% 111.97/111.91  cnf(8107,plain,
% 111.97/111.91     (P1(x81071,a1,x81071)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8108,plain,
% 111.97/111.91     (P1(a1,x81081,x81081)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(8112,plain,
% 111.97/111.91     (P2(x81121,x81122,f5(x81122,x81121))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(8115,plain,
% 111.97/111.91     (P1(x81151,a1,x81151)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8120,plain,
% 111.97/111.91     (P1(x81201,a1,x81201)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8123,plain,
% 111.97/111.91     (~P2(f2(a3,a1),a3,f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,8100,8107,8115,8120,7834,59,128,8112,96,265,7498,6735,4977,5320,7783,7698,6038,3447,8020,7520,7966,17,127,8092,8094,87,18,21,268,4723,5241,1064,758,5283,4440,4042,7620,27,26,13,10,12,14,11,9,28,33,37,35,31,36,32])).
% 111.97/111.91  cnf(8124,plain,
% 111.97/111.91     (P1(x81241,a1,x81241)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8126,plain,
% 111.97/111.91     (P2(f4(a1),f2(a1,a1),f5(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,8100,8107,8115,8120,8124,7834,59,128,8112,96,265,7498,6735,3562,4977,5320,7783,7008,7698,6038,3447,8020,7520,7966,17,8108,127,8092,8094,87,18,21,268,4723,5241,1064,758,5283,4440,4042,7620,27,26,13,10,12,14,11,9,28,33,37,35,31,36,32,34])).
% 111.97/111.91  cnf(8138,plain,
% 111.97/111.91     (~P2(f2(a1,a3),f5(a1,a3),f4(a7))),
% 111.97/111.91     inference(scs_inference,[],[7634,27])).
% 111.97/111.91  cnf(8143,plain,
% 111.97/111.91     (E(f5(x81431,a3),x81431)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8145,plain,
% 111.97/111.91     (E(f5(x81451,a3),x81451)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8147,plain,
% 111.97/111.91     (E(f5(x81471,a3),x81471)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8151,plain,
% 111.97/111.91     (E(f5(x81511,a3),x81511)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8155,plain,
% 111.97/111.91     (P2(x81551,x81552,f5(x81552,x81551))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(8158,plain,
% 111.97/111.91     (P2(f2(a1,a3),f5(a3,a1),f5(a3,a1))),
% 111.97/111.91     inference(scs_inference,[],[8031,59,128,55,265,5799,7592,7320,7634,7966,7960,127,8143,8145,8147,8151,5731,7091,7833,27,26,10,13,12,14,9,11,33,37])).
% 111.97/111.91  cnf(8166,plain,
% 111.97/111.91     (~P1(f2(a3,a3),f5(a1,a1),f2(a6,a7))),
% 111.97/111.91     inference(scs_inference,[],[15,7182,2870,8031,59,128,8155,55,1454,265,7378,5799,7592,7320,7634,7966,7960,127,8143,8145,8147,8151,5731,4515,6907,7091,6994,7833,27,26,10,13,12,14,9,11,33,37,35,31,36])).
% 111.97/111.91  cnf(8167,plain,
% 111.97/111.91     (P2(x81671,x81672,f5(x81672,x81671))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(8168,plain,
% 111.97/111.91     (P1(x81681,a1,x81681)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8170,plain,
% 111.97/111.91     (~P2(x81701,a7,a6)),
% 111.97/111.91     inference(scs_inference,[],[15,8168,7182,2870,8031,59,128,8155,8167,55,1454,265,7378,5799,7592,7320,7634,7966,7960,127,8143,8145,8147,8151,5731,4515,6907,7091,6994,7833,27,26,10,13,12,14,9,11,33,37,35,31,36,32])).
% 111.97/111.91  cnf(8185,plain,
% 111.97/111.91     (P1(a1,f5(x81851,a3),x81851)),
% 111.97/111.91     inference(scs_inference,[],[5786,7091,27,26])).
% 111.97/111.91  cnf(8188,plain,
% 111.97/111.91     (E(f5(x81881,a3),x81881)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8191,plain,
% 111.97/111.91     (P1(a1,x81911,x81911)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(8194,plain,
% 111.97/111.91     (P1(x81941,a1,x81941)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8196,plain,
% 111.97/111.91     (P1(x81961,a1,x81961)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8199,plain,
% 111.97/111.91     (~P2(a3,a7,f2(a3,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,8194,128,5070,5786,7634,7807,17,127,8188,5814,5664,6734,1990,7091,4355,6841,7342,27,26,13,12,10,14,11,9,3,29])).
% 111.97/111.91  cnf(8200,plain,
% 111.97/111.91     (P2(x82001,x82002,f5(x82002,x82001))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(8204,plain,
% 111.97/111.91     (P1(x82041,a1,x82041)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8206,plain,
% 111.97/111.91     (~P1(f2(a1,a3),a3,a7)),
% 111.97/111.91     inference(scs_inference,[],[15,8194,8196,59,128,55,265,5070,5786,7242,7634,7807,17,8191,127,8188,5814,5664,6734,1990,7091,4355,6841,7342,8033,27,26,13,12,10,14,11,9,3,29,33,37])).
% 111.97/111.91  cnf(8208,plain,
% 111.97/111.91     (P2(x82081,f2(x82081,a3),x82081)),
% 111.97/111.91     inference(rename_variables,[],[55])).
% 111.97/111.91  cnf(8215,plain,
% 111.97/111.91     (P1(x82151,a1,x82151)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8218,plain,
% 111.97/111.91     (~P1(a3,f2(a1,a1),f2(a1,a7))),
% 111.97/111.91     inference(scs_inference,[],[15,8194,8196,8204,8215,59,128,8200,55,8208,265,2487,6735,5070,5786,7242,7634,7807,7215,17,8191,127,8188,87,5962,5814,5664,6734,1990,7091,4355,6841,7342,7587,8033,27,26,13,12,10,14,11,9,3,29,33,37,31,35,36])).
% 111.97/111.91  cnf(8230,plain,
% 111.97/111.91     (~P2(f5(a7,a3),f2(a1,a1),f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[7215,27])).
% 111.97/111.91  cnf(8235,plain,
% 111.97/111.91     (E(f5(x82351,a3),x82351)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8247,plain,
% 111.97/111.91     (P1(x82471,a1,x82471)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8248,plain,
% 111.97/111.91     (P1(a1,x82481,x82481)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(8250,plain,
% 111.97/111.91     (~P1(a3,f2(a3,a1),a7)),
% 111.97/111.91     inference(scs_inference,[],[15,7182,6860,59,265,6858,7008,7748,7215,8166,6831,8106,17,127,8235,43,5574,4515,693,6307,6994,8080,27,26,12,13,10,14,9,11,33,37])).
% 111.97/111.91  cnf(8253,plain,
% 111.97/111.91     (P2(a1,f2(a3,a1),f4(a3))),
% 111.97/111.91     inference(scs_inference,[],[15,8247,7182,6860,59,265,6858,7008,7748,7215,8166,6831,8106,17,8248,127,8235,87,43,5574,4515,693,6307,6994,8080,7848,27,26,12,13,10,14,9,11,33,37,36])).
% 111.97/111.91  cnf(8281,plain,
% 111.97/111.91     (P1(f5(a3,a3),a3,f5(a3,a3))),
% 111.97/111.91     inference(scs_inference,[],[6750,6307,27,26])).
% 111.97/111.91  cnf(8286,plain,
% 111.97/111.91     (E(f5(x82861,a3),x82861)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8288,plain,
% 111.97/111.91     (E(f5(x82881,a3),x82881)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8292,plain,
% 111.97/111.91     (E(f5(x82921,a3),x82921)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8296,plain,
% 111.97/111.91     (P1(f4(a3),x82961,x82961)),
% 111.97/111.91     inference(rename_variables,[],[495])).
% 111.97/111.91  cnf(8297,plain,
% 111.97/111.91     (P1(x82971,a1,x82971)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8300,plain,
% 111.97/111.91     (P1(x83001,a1,x83001)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8304,plain,
% 111.97/111.91     (P1(a1,x83041,x83041)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(8309,plain,
% 111.97/111.91     (P1(x83091,a1,x83091)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8311,plain,
% 111.97/111.91     (~P2(a7,f4(a3),f4(a3))),
% 111.97/111.91     inference(scs_inference,[],[15,8297,8300,8309,7074,59,55,136,250,4322,7780,7320,7748,6750,8020,6831,8051,8253,17,127,8286,8288,8292,43,495,8296,6307,8185,7513,27,26,12,13,10,14,9,11,33,37,31,36,35])).
% 111.97/111.91  cnf(8315,plain,
% 111.97/111.91     (~P2(f2(a3,a1),a3,a1)),
% 111.97/111.91     inference(scs_inference,[],[15,8297,8300,8309,7074,59,55,136,250,4322,7780,7320,7748,6750,8020,6831,8051,8253,17,8304,127,8286,8288,8292,43,495,8296,1263,6307,8123,8185,7513,27,26,12,13,10,14,9,11,33,37,31,36,35,34])).
% 111.97/111.91  cnf(8329,plain,
% 111.97/111.91     (~P2(f5(a3,a3),f2(x83291,a3),f5(a7,a3))),
% 111.97/111.91     inference(scs_inference,[],[6993,27])).
% 111.97/111.91  cnf(8337,plain,
% 111.97/111.91     (P1(a1,x83371,x83371)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(8340,plain,
% 111.97/111.91     (P1(x83401,a1,x83401)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8342,plain,
% 111.97/111.91     (P1(x83421,a1,x83421)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8344,plain,
% 111.97/111.91     (P1(x83441,a1,x83441)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8346,plain,
% 111.97/111.91     (~P2(f4(a7),a1,a6)),
% 111.97/111.91     inference(scs_inference,[],[15,8340,8342,8344,6860,6967,1413,6993,8051,8126,17,8337,127,22,5664,6734,1990,4567,6888,8170,27,26,13,12,10,14,11,9,28,37])).
% 111.97/111.91  cnf(8348,plain,
% 111.97/111.91     (P1(x83481,a1,x83481)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8349,plain,
% 111.97/111.91     (P1(a1,x83491,x83491)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(8353,plain,
% 111.97/111.91     (P2(a3,x83531,x83531)),
% 111.97/111.91     inference(rename_variables,[],[18])).
% 111.97/111.91  cnf(8357,plain,
% 111.97/111.91     (P1(a1,x83571,x83571)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(8360,plain,
% 111.97/111.91     (~P2(a7,a1,a6)),
% 111.97/111.91     inference(scs_inference,[],[15,8340,8342,8344,8348,38,6860,6967,265,96,1413,7966,6993,8051,8126,17,8337,8349,127,87,18,23,5962,22,5021,5664,6734,1990,4567,6888,8170,27,26,13,12,10,14,11,9,28,37,33,31,36])).
% 111.97/111.91  cnf(8362,plain,
% 111.97/111.91     (P1(x83621,a1,x83621)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8365,plain,
% 111.97/111.91     (~P1(f5(a7,a1),a1,a1)),
% 111.97/111.91     inference(scs_inference,[],[15,8340,8342,8344,8348,8362,38,7182,6860,6967,128,265,96,1413,7966,6993,8051,8126,17,8337,8349,8357,127,87,18,23,5962,22,5021,5664,6734,1990,4567,6888,8170,27,26,13,12,10,14,11,9,28,37,33,31,36,35])).
% 111.97/111.91  cnf(8366,plain,
% 111.97/111.91     (P1(a1,x83661,x83661)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(8368,plain,
% 111.97/111.91     (P2(x83681,x83682,f5(x83682,x83681))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(8374,plain,
% 111.97/111.91     (~P1(f5(a1,a3),f4(a1),a1)),
% 111.97/111.91     inference(scs_inference,[],[15,8340,8342,8344,8348,8362,38,7182,6860,6967,128,8368,265,96,6811,532,1413,7966,6993,8051,8126,17,8337,8349,8357,8366,127,87,18,8353,23,230,5962,22,5021,5664,6734,1990,1247,4567,6888,7666,8170,27,26,13,12,10,14,11,9,28,37,33,31,36,35,32,34])).
% 111.97/111.91  cnf(8385,plain,
% 111.97/111.91     (~E(a1,f5(a3,a3))),
% 111.97/111.91     inference(scs_inference,[],[7780,726,8106,5394,27,26,12])).
% 111.97/111.91  cnf(8395,plain,
% 111.97/111.91     (P2(f2(x83951,a3),x83951,x83951)),
% 111.97/111.91     inference(rename_variables,[],[265])).
% 111.97/111.91  cnf(8398,plain,
% 111.97/111.91     (P2(x83981,f2(x83981,a3),x83981)),
% 111.97/111.91     inference(rename_variables,[],[55])).
% 111.97/111.91  cnf(8407,plain,
% 111.97/111.91     (~P1(a1,f2(a1,a1),a3)),
% 111.97/111.91     inference(scs_inference,[],[15,196,59,55,8398,265,8395,7498,7780,7748,7966,6038,8051,726,8106,8360,8158,7045,127,87,5664,758,4440,5394,7240,7578,2645,7530,8045,27,26,12,13,10,14,9,11,37,33,31,36])).
% 111.97/111.91  cnf(8408,plain,
% 111.97/111.91     (P1(x84081,x84082,f2(x84082,x84081))),
% 111.97/111.91     inference(rename_variables,[],[87])).
% 111.97/111.91  cnf(8410,plain,
% 111.97/111.91     (~P1(f5(a6,a7),a6,a6)),
% 111.97/111.91     inference(scs_inference,[],[15,38,196,59,128,55,8398,265,8395,7498,7780,7748,7966,6038,8051,726,8106,8360,8158,7045,127,87,8408,5962,5664,758,4440,5394,7240,7578,2645,7530,8045,27,26,12,13,10,14,9,11,37,33,31,36,35])).
% 111.97/111.91  cnf(8432,plain,
% 111.97/111.91     (~P2(f5(a3,a1),f5(a3,a3),f4(a7))),
% 111.97/111.91     inference(scs_inference,[],[5417,27])).
% 111.97/111.91  cnf(8438,plain,
% 111.97/111.91     (P2(f5(a3,a3),f5(a3,a1),f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[158,7575,8106,7045,5417,43,27,26,13,12])).
% 111.97/111.91  cnf(8439,plain,
% 111.97/111.91     (E(x84391,f5(x84391,a3))),
% 111.97/111.91     inference(rename_variables,[],[43])).
% 111.97/111.91  cnf(8441,plain,
% 111.97/111.91     (E(f5(x84411,a3),x84411)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8443,plain,
% 111.97/111.91     (E(f5(x84431,a3),x84431)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8449,plain,
% 111.97/111.91     (P2(x84491,x84492,f5(x84492,x84491))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(8453,plain,
% 111.97/111.91     (P1(x84531,a1,x84531)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8455,plain,
% 111.97/111.91     (~P1(f2(a3,a1),a3,a7)),
% 111.97/111.91     inference(scs_inference,[],[15,59,128,158,7242,7966,7575,8106,7045,5417,260,8253,8365,8385,127,8441,8443,43,8439,495,22,5585,8033,27,26,13,12,10,11,9,3,29,33,37])).
% 111.97/111.91  cnf(8463,plain,
% 111.97/111.91     (P1(x84631,a1,x84631)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8471,plain,
% 111.97/111.91     (~P2(f2(a3,a3),a3,f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,8453,8463,8329,59,128,8449,265,158,5164,7242,7966,7008,8051,7575,8106,7045,5417,260,8253,8365,8385,127,8441,8443,87,43,8439,495,2119,22,1064,5585,7407,8033,27,26,13,12,10,11,9,3,29,33,37,31,36,35,32])).
% 111.97/111.91  cnf(8481,plain,
% 111.97/111.91     (P2(f2(a3,a1),a1,f4(a3))),
% 111.97/111.91     inference(scs_inference,[],[8253,27])).
% 111.97/111.91  cnf(8483,plain,
% 111.97/111.91     (P1(f5(a1,a3),x84831,x84831)),
% 111.97/111.91     inference(scs_inference,[],[8253,7240,27,26])).
% 111.97/111.91  cnf(8486,plain,
% 111.97/111.91     (P2(f2(a3,a3),a1,f5(a3,a1))),
% 111.97/111.91     inference(scs_inference,[],[6860,3305,8253,127,4016,7240,27,26,12,13])).
% 111.97/111.91  cnf(8488,plain,
% 111.97/111.91     (P1(a1,f2(x84881,a3),f5(a3,a3))),
% 111.97/111.91     inference(scs_inference,[],[6860,3305,8253,17,127,4016,3517,7240,27,26,12,13,10])).
% 111.97/111.91  cnf(8491,plain,
% 111.97/111.91     (P1(x84911,a1,x84911)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8493,plain,
% 111.97/111.91     (P1(x84931,a1,x84931)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8499,plain,
% 111.97/111.91     (~P1(f5(a1,a3),f5(a1,a3),a3)),
% 111.97/111.91     inference(scs_inference,[],[15,8491,8493,6860,128,449,3305,726,8253,17,127,21,4016,3517,7240,4212,7134,27,26,12,13,10,11,9,33,37])).
% 111.97/111.91  cnf(8526,plain,
% 111.97/111.91     (~P2(f5(a7,a3),a1,a6)),
% 111.97/111.91     inference(scs_inference,[],[8138,8365,8360,6320,127,5814,27,26,13,12])).
% 111.97/111.91  cnf(8527,plain,
% 111.97/111.91     (E(f5(x85271,a3),x85271)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8536,plain,
% 111.97/111.91     (P1(x85361,a1,x85361)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8539,plain,
% 111.97/111.91     (P1(a1,x85391,x85391)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(8542,plain,
% 111.97/111.91     (~P2(f4(a1),f2(a6,a7),f4(a1))),
% 111.97/111.91     inference(scs_inference,[],[15,8536,6967,8138,59,7498,6131,7045,8365,8360,6320,8499,17,127,8527,21,1263,5814,693,7091,6164,619,7078,27,26,13,12,10,11,9,33,37,35])).
% 111.97/111.91  cnf(8546,plain,
% 111.97/111.91     (~P2(f4(a3),a3,a3)),
% 111.97/111.91     inference(scs_inference,[],[15,8536,6967,8138,59,7498,6131,8051,7045,8365,8360,6320,8499,17,127,8527,495,21,1263,5814,693,7091,6164,619,7078,27,26,13,12,10,11,9,33,37,35,32])).
% 111.97/111.91  cnf(8552,plain,
% 111.97/111.91     (~P1(f4(a3),a3,f4(a3))),
% 111.97/111.91     inference(scs_inference,[],[15,8536,6967,8138,59,158,7498,6131,8051,7045,8365,8360,6320,8499,17,8539,127,8527,495,21,1263,4515,5814,693,7091,6164,619,8080,8123,7078,8281,27,26,13,12,10,11,9,33,37,35,32,34,30])).
% 111.97/111.91  cnf(8559,plain,
% 111.97/111.91     (P1(f2(a1,a1),x85591,x85591)),
% 111.97/111.91     inference(scs_inference,[],[6921,7407,27,26])).
% 111.97/111.91  cnf(8562,plain,
% 111.97/111.91     (E(f5(x85621,a3),x85621)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8563,plain,
% 111.97/111.91     (~P1(f5(a7,a1),f5(a1,a3),a1)),
% 111.97/111.91     inference(scs_inference,[],[8365,8360,6921,127,8562,7407,27,26,13,10])).
% 111.97/111.91  cnf(8564,plain,
% 111.97/111.91     (E(f5(x85641,a3),x85641)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8568,plain,
% 111.97/111.91     (E(f5(x85681,a3),x85681)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8572,plain,
% 111.97/111.91     (P1(x85721,a1,x85721)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8576,plain,
% 111.97/111.91     (P2(f4(x85761),f2(x85761,x85761),a1)),
% 111.97/111.91     inference(rename_variables,[],[3562])).
% 111.97/111.91  cnf(8581,plain,
% 111.97/111.91     (P1(a1,x85811,x85811)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(8587,plain,
% 111.97/111.91     (~P1(f5(a1,a1),f2(a3,a1),f2(a1,a7))),
% 111.97/111.91     inference(scs_inference,[],[15,8572,59,128,265,2487,7498,3562,8576,8051,7045,8253,8365,8360,8499,6921,17,127,8562,8564,8568,43,18,1064,693,1944,7407,7306,27,26,13,10,12,11,9,28,33,37,32,35])).
% 111.97/111.91  cnf(8590,plain,
% 111.97/111.91     (~P1(f5(a1,a3),f5(a3,a3),f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,8572,59,128,265,158,2487,7498,2316,3562,8576,8051,7045,8253,8365,8360,8499,6921,17,8581,127,8562,8564,8568,43,18,1064,693,1944,7407,5362,7306,27,26,13,10,12,11,9,28,33,37,32,35,34])).
% 111.97/111.91  cnf(8597,plain,
% 111.97/111.91     (~E(f2(a1,a3),f5(a7,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,8572,8329,59,128,265,158,2487,7498,802,2316,3562,8576,5799,8051,7045,8253,8365,8360,8499,6921,17,8581,127,8562,8564,8568,43,18,1064,693,1944,7407,7578,5362,7306,8552,27,26,13,10,12,11,9,28,33,37,32,35,34,30,14])).
% 111.97/111.91  cnf(8604,plain,
% 111.97/111.91     (~P2(a1,f2(a1,a1),a3)),
% 111.97/111.91     inference(scs_inference,[],[7601,27])).
% 111.97/111.91  cnf(8610,plain,
% 111.97/111.91     (~P2(a3,f2(a1,a1),a3)),
% 111.97/111.91     inference(scs_inference,[],[6860,7520,8590,7601,43,4790,27,26,13,12])).
% 111.97/111.91  cnf(8612,plain,
% 111.97/111.91     (P1(a1,x86121,x86121)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(8613,plain,
% 111.97/111.91     (P1(f2(x86131,a3),a1,f2(a3,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,6860,7520,8590,7601,17,43,4790,7134,6935,27,26,13,12,10,11])).
% 111.97/111.91  cnf(8614,plain,
% 111.97/111.91     (P1(x86141,a1,x86141)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8618,plain,
% 111.97/111.91     (P1(x86181,a1,x86181)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8620,plain,
% 111.97/111.91     (P2(x86201,x86202,f5(x86202,x86201))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(8621,plain,
% 111.97/111.91     (P2(x86211,f2(x86211,a3),x86211)),
% 111.97/111.91     inference(rename_variables,[],[55])).
% 111.97/111.91  cnf(8632,plain,
% 111.97/111.91     (P2(x86321,x86322,f5(x86322,x86321))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(8636,plain,
% 111.97/111.91     (P1(a1,x86361,x86361)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(8641,plain,
% 111.97/111.91     (P1(a1,x86411,x86411)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(8651,plain,
% 111.97/111.91     (~E(a3,f5(a3,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,8614,8618,6860,6967,8329,128,8620,8632,55,8621,265,7498,393,6735,1761,8499,7520,8590,8587,7601,7537,17,8612,8636,8641,127,87,43,217,5814,4790,7240,7134,6644,6935,8045,8483,7248,27,26,13,12,10,11,14,9,33,37,32,35,36,34,30,3])).
% 111.97/111.91  cnf(8659,plain,
% 111.97/111.91     (E(f5(x86591,a3),x86591)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8661,plain,
% 111.97/111.91     (P1(a3,a3,f5(a3,a3))),
% 111.97/111.91     inference(scs_inference,[],[6967,8604,8126,127,8659,1990,6307,1458,27,26,12,13,10])).
% 111.97/111.91  cnf(8669,plain,
% 111.97/111.91     (P2(x86691,f2(x86691,a3),x86691)),
% 111.97/111.91     inference(rename_variables,[],[55])).
% 111.97/111.91  cnf(8673,plain,
% 111.97/111.91     (P2(x86731,f2(x86731,a3),x86731)),
% 111.97/111.91     inference(rename_variables,[],[55])).
% 111.97/111.91  cnf(8678,plain,
% 111.97/111.91     (P1(x86781,x86782,f2(x86782,x86781))),
% 111.97/111.91     inference(rename_variables,[],[87])).
% 111.97/111.91  cnf(8682,plain,
% 111.97/111.91     (P1(x86821,a1,x86821)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8685,plain,
% 111.97/111.91     (~P2(a7,a1,f5(a6,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,8682,7733,6967,7934,8604,59,55,8669,8673,7378,7966,7045,8126,17,127,8659,87,8678,43,4723,1990,7240,6307,4610,3208,1458,8045,8559,8199,27,26,12,13,10,11,9,3,29,37,35,32,36])).
% 111.97/111.91  cnf(8709,plain,
% 111.97/111.91     (~P2(a1,f2(a7,a1),a1)),
% 111.97/111.91     inference(scs_inference,[],[7537,27])).
% 111.97/111.91  cnf(8714,plain,
% 111.97/111.91     (E(f5(x87141,a3),x87141)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8715,plain,
% 111.97/111.91     (P2(a1,f5(a1,a3),f5(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[8587,7601,7537,7547,127,8714,27,26,13,12])).
% 111.97/111.91  cnf(8716,plain,
% 111.97/111.91     (E(f5(x87161,a3),x87161)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8718,plain,
% 111.97/111.91     (E(f5(x87181,a3),x87181)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8720,plain,
% 111.97/111.91     (E(f5(x87201,a3),x87201)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8727,plain,
% 111.97/111.91     (~P1(f5(a1,a1),f5(a1,a1),a3)),
% 111.97/111.91     inference(scs_inference,[],[6860,8020,7575,8126,8587,7601,7537,7312,7711,7547,8407,17,127,8714,8716,8718,8720,87,5962,27,26,13,12,11,10,9,33,37])).
% 111.97/111.91  cnf(8764,plain,
% 111.97/111.91     (P1(a1,f2(a3,a1),f2(x87641,a3))),
% 111.97/111.91     inference(scs_inference,[],[6967,7547,6808,17,127,43,6935,4361,27,26,12,13,10])).
% 111.97/111.91  cnf(8765,plain,
% 111.97/111.91     (P1(a1,x87651,x87651)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(8766,plain,
% 111.97/111.91     (P1(a3,a1,f2(x87661,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,6967,7547,6808,17,127,43,6935,4361,7833,27,26,12,13,10,11])).
% 111.97/111.91  cnf(8767,plain,
% 111.97/111.91     (P1(x87671,a1,x87671)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8769,plain,
% 111.97/111.91     (P1(x87691,a1,x87691)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8770,plain,
% 111.97/111.91     (~P2(f2(a3,a3),f2(a3,a3),f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,8767,6967,7498,3076,7547,6808,17,127,43,5063,6935,4361,7093,7833,27,26,12,13,10,11,9,33])).
% 111.97/111.91  cnf(8772,plain,
% 111.97/111.91     (~P2(f5(a3,a1),f4(a3),f4(a7))),
% 111.97/111.91     inference(scs_inference,[],[15,8767,6967,8432,7498,3076,2853,7547,6808,17,127,43,217,5063,6935,4361,8559,7093,7833,27,26,12,13,10,11,9,33,37])).
% 111.97/111.91  cnf(8783,plain,
% 111.97/111.91     (~P2(a1,f4(a1),f4(a1))),
% 111.97/111.91     inference(scs_inference,[],[15,8767,8769,6967,8432,59,7498,3076,2853,8051,7547,6808,17,8765,127,43,217,21,7091,5063,6935,8045,4361,7666,8559,7093,7833,8471,27,26,12,13,10,11,9,33,37,32,34,35])).
% 111.97/111.91  cnf(8785,plain,
% 111.97/111.91     (P1(x87851,a1,x87851)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8787,plain,
% 111.97/111.91     (~P1(a1,a3,f2(a7,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,8767,8769,8785,6967,8432,8709,59,7498,3076,2853,8051,7547,6808,17,8765,127,43,217,21,7091,5063,7407,6935,8045,4361,7666,8559,7093,7833,8471,27,26,12,13,10,11,9,33,37,32,34,35,36])).
% 111.97/111.91  cnf(8799,plain,
% 111.97/111.91     (~P2(a3,f4(a1),a1)),
% 111.97/111.91     inference(scs_inference,[],[7917,27])).
% 111.97/111.91  cnf(8803,plain,
% 111.97/111.91     (~P2(f2(a1,a1),a3,a3)),
% 111.97/111.91     inference(scs_inference,[],[6038,8407,7917,4790,27,26,13])).
% 111.97/111.91  cnf(8804,plain,
% 111.97/111.91     (~E(f2(a1,a3),f2(a7,a1))),
% 111.97/111.91     inference(scs_inference,[],[265,6038,7537,8407,7917,4790,27,26,13,12])).
% 111.97/111.91  cnf(8810,plain,
% 111.97/111.91     (P1(x88101,a1,x88101)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8812,plain,
% 111.97/111.91     (~P1(f4(a3),f4(a3),f2(a3,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,55,265,7498,7748,6038,7537,8407,7917,8727,18,495,65,5585,4790,5063,2298,7866,27,26,13,12,11,10,9,28,33])).
% 111.97/111.91  cnf(8817,plain,
% 111.97/111.91     (~P2(a3,a1,a3)),
% 111.97/111.91     inference(scs_inference,[],[15,8810,55,265,7498,7748,6038,7537,8407,7917,8727,8610,17,18,495,65,626,5585,4790,5063,2298,7866,27,26,13,12,11,10,9,28,33,37])).
% 111.97/111.91  cnf(8818,plain,
% 111.97/111.91     (P1(x88181,a1,x88181)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8819,plain,
% 111.97/111.91     (P1(a1,x88191,x88191)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(8825,plain,
% 111.97/111.91     (~P1(f5(a7,a1),a1,f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,8810,8818,7074,128,55,265,158,7498,7748,6038,8365,7537,8407,7917,8727,8610,17,8819,87,18,495,65,626,5585,4790,5063,2298,7866,27,26,13,12,11,10,9,28,33,37,32,35])).
% 111.97/111.91  cnf(8848,plain,
% 111.97/111.91     (P2(f2(a1,a3),f5(a3,a1),f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[7662,27])).
% 111.97/111.91  cnf(8852,plain,
% 111.97/111.91     (P2(f5(a1,a3),f2(a1,a3),f5(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[7662,7148,43,2645,27,26,12])).
% 111.97/111.91  cnf(8855,plain,
% 111.97/111.91     (P2(x88551,f2(x88551,a3),x88551)),
% 111.97/111.91     inference(rename_variables,[],[55])).
% 111.97/111.91  cnf(8857,plain,
% 111.97/111.91     (E(f5(x88571,a3),x88571)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8859,plain,
% 111.97/111.91     (E(f5(x88591,a3),x88591)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8861,plain,
% 111.97/111.91     (E(f5(x88611,a3),x88611)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8865,plain,
% 111.97/111.91     (P2(x88651,f2(x88651,a3),x88651)),
% 111.97/111.91     inference(rename_variables,[],[55])).
% 111.97/111.91  cnf(8866,plain,
% 111.97/111.91     (P2(x88661,x88662,f5(x88662,x88661))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(8867,plain,
% 111.97/111.91     (P1(f2(x88671,a1),a1,x88671)),
% 111.97/111.91     inference(rename_variables,[],[7250])).
% 111.97/111.91  cnf(8869,plain,
% 111.97/111.91     (P2(a1,a3,f5(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,8709,128,8866,55,8855,7780,8407,7711,8817,7662,7148,7900,127,8857,8859,8861,43,2645,8185,7250,27,26,12,13,10,11,9,14,33,37])).
% 111.97/111.91  cnf(8871,plain,
% 111.97/111.91     (P1(x88711,a1,x88711)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8872,plain,
% 111.97/111.91     (P2(x88721,x88722,f5(x88722,x88721))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(8879,plain,
% 111.97/111.91     (P1(x88791,a1,x88791)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8881,plain,
% 111.97/111.91     (~P2(a1,f2(a1,a3),f2(a3,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,8871,8879,8329,8709,59,128,8866,55,8855,8865,7748,7780,8253,8407,7711,8817,7662,7148,7900,127,8857,8859,8861,43,1064,5241,2645,8185,7250,7950,8488,27,26,12,13,10,11,9,14,33,37,35,32,34])).
% 111.97/111.91  cnf(8887,plain,
% 111.97/111.91     (P2(x88871,x88872,f5(x88872,x88871))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(8889,plain,
% 111.97/111.91     (~P1(a1,f4(a1),a1)),
% 111.97/111.91     inference(scs_inference,[],[15,8871,8879,8329,8709,59,128,8866,8872,55,8855,8865,6811,7748,7780,8253,8407,7711,8817,7662,7148,7900,17,127,8857,8859,8861,43,1064,5241,7666,2645,8185,7250,8867,7950,8488,27,26,12,13,10,11,9,14,33,37,35,32,34,31,36])).
% 111.97/111.91  cnf(8891,plain,
% 111.97/111.91     (P1(a1,x88911,x88911)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(8893,plain,
% 111.97/111.91     (~P2(f5(a1,a1),f5(a1,a1),a3)),
% 111.97/111.91     inference(scs_inference,[],[15,8871,8879,8329,8709,59,128,8866,8872,8887,55,8855,8865,6811,7748,7780,8253,8407,7711,8727,8817,7662,7148,7900,17,8891,127,8857,8859,8861,43,1064,5241,7666,2645,8185,7250,8867,7950,8488,27,26,12,13,10,11,9,14,33,37,35,32,34,31,36,30])).
% 111.97/111.91  cnf(8903,plain,
% 111.97/111.91     (~P2(a7,f4(a3),a1)),
% 111.97/111.91     inference(scs_inference,[],[7891,27])).
% 111.97/111.91  cnf(8908,plain,
% 111.97/111.91     (E(x89081,f5(x89081,a3))),
% 111.97/111.91     inference(rename_variables,[],[43])).
% 111.97/111.91  cnf(8911,plain,
% 111.97/111.91     (P1(x89111,a1,x89111)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8912,plain,
% 111.97/111.91     (P1(a1,f4(a1),f2(x89121,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,6860,8481,7900,7891,17,43,6841,7474,27,26,13,12,11,10])).
% 111.97/111.91  cnf(8914,plain,
% 111.97/111.91     (P1(f2(x89141,a3),a1,f2(x89142,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,8911,6860,8481,7900,7891,17,43,6841,7474,6991,27,26,13,12,11,10,9])).
% 111.97/111.91  cnf(8915,plain,
% 111.97/111.91     (P1(x89151,a1,x89151)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8919,plain,
% 111.97/111.91     (P2(x89191,f2(x89191,a3),x89191)),
% 111.97/111.91     inference(rename_variables,[],[55])).
% 111.97/111.91  cnf(8922,plain,
% 111.97/111.91     (P2(x89221,x89222,f5(x89222,x89221))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(8923,plain,
% 111.97/111.91     (P2(x89231,x89232,f5(x89232,x89231))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(8927,plain,
% 111.97/111.91     (P1(x89271,a1,x89271)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8933,plain,
% 111.97/111.91     (~P2(f4(a3),a1,a3)),
% 111.97/111.91     inference(scs_inference,[],[15,8911,8915,8927,6860,7514,8709,8799,59,128,55,8919,7966,8481,7900,7891,17,43,8908,2119,1021,7407,3547,2193,6841,4209,8559,1321,7474,6991,27,26,13,12,11,10,9,3,29,37,32,35,36])).
% 111.97/111.91  cnf(8935,plain,
% 111.97/111.91     (P1(x89351,a1,x89351)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8941,plain,
% 111.97/111.91     (P1(f5(a1,a1),f2(a3,a1),f5(a3,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,8911,8915,8927,8935,6860,7514,8709,8799,59,128,8923,8922,55,8919,2487,7966,8481,7900,7891,17,43,8908,2119,1064,3648,1021,7407,3547,2193,6841,4209,8559,1321,7474,6991,27,26,13,12,11,10,9,3,29,37,32,35,36,34,30])).
% 111.97/111.91  cnf(8958,plain,
% 111.97/111.91     (~E(f5(a3,a1),f4(a1))),
% 111.97/111.91     inference(scs_inference,[],[8799,2853,8852,4016,7872,6644,27,26,13,12])).
% 111.97/111.91  cnf(8968,plain,
% 111.97/111.91     (P1(x89681,a1,x89681)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(8971,plain,
% 111.97/111.91     (P1(f5(a1,a3),f5(a1,a1),f5(a1,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,8968,8432,8799,128,265,2853,4943,8852,8374,8825,8889,17,23,415,4016,3547,7872,6644,6376,7889,27,26,13,12,10,11,9,37,33,32])).
% 111.97/111.91  cnf(8973,plain,
% 111.97/111.91     (P2(x89731,x89732,f5(x89732,x89731))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(8975,plain,
% 111.97/111.91     (~P1(f4(x89751),f5(x89751,x89751),f5(a7,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,8968,8329,8432,8799,128,8973,265,2853,4943,8852,8374,8825,8889,17,130,23,415,493,4016,3547,7872,6644,6376,7889,27,26,13,12,10,11,9,37,33,32,36])).
% 111.97/111.91  cnf(8992,plain,
% 111.97/111.91     (~P2(a7,f5(a1,a3),f5(a1,a3))),
% 111.97/111.91     inference(scs_inference,[],[7669,27])).
% 111.97/111.91  cnf(8997,plain,
% 111.97/111.91     (E(f5(x89971,a3),x89971)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(8998,plain,
% 111.97/111.91     (~P2(f5(a1,a3),f5(a1,a3),f4(a1))),
% 111.97/111.91     inference(scs_inference,[],[8727,8889,8091,7669,127,8997,27,26,11,13])).
% 111.97/111.91  cnf(8999,plain,
% 111.97/111.91     (E(f5(x89991,a3),x89991)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(9000,plain,
% 111.97/111.91     (~P2(f5(a1,a3),a7,a1)),
% 111.97/111.91     inference(scs_inference,[],[7182,8727,8889,8091,7669,127,8997,8999,27,26,11,13,12])).
% 111.97/111.91  cnf(9001,plain,
% 111.97/111.91     (E(f5(x90011,a3),x90011)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(9003,plain,
% 111.97/111.91     (E(f5(x90031,a3),x90031)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(9006,plain,
% 111.97/111.91     (~P2(f4(a1),f4(a1),f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[7182,7498,7711,8727,8889,8825,8091,7669,127,8997,8999,9001,9003,18,756,27,26,11,13,12,10,9,33])).
% 111.97/111.91  cnf(9008,plain,
% 111.97/111.91     (P2(a3,x90081,x90081)),
% 111.97/111.91     inference(rename_variables,[],[18])).
% 111.97/111.91  cnf(9014,plain,
% 111.97/111.91     (P2(x90141,f2(x90141,a3),x90141)),
% 111.97/111.91     inference(rename_variables,[],[55])).
% 111.97/111.91  cnf(9018,plain,
% 111.97/111.91     (P1(a1,x90181,x90181)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(9022,plain,
% 111.97/111.91     (P1(x90221,a1,x90221)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9028,plain,
% 111.97/111.91     (P2(a3,x90281,x90281)),
% 111.97/111.91     inference(rename_variables,[],[18])).
% 111.97/111.91  cnf(9030,plain,
% 111.97/111.91     (P2(f5(a3,a3),a1,f5(a1,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,9022,7182,59,128,55,9014,7498,8051,8253,8020,6794,7711,8727,8889,8825,8091,7669,17,9018,127,8997,8999,9001,9003,18,9008,9028,23,495,415,4560,756,6519,8661,27,26,11,13,12,10,9,33,32,37,35,36,31,34])).
% 111.97/111.91  cnf(9037,plain,
% 111.97/111.91     (~P1(a1,f4(a3),a3)+P1(f2(a1,a1),f4(a3),a3)),
% 111.97/111.91     inference(scs_inference,[],[15,9022,7182,59,128,55,9014,7498,8051,8253,8020,6794,7711,8727,8889,8825,8091,7669,17,9018,127,8997,8999,9001,9003,18,9008,9028,23,217,495,635,415,6734,889,4560,756,6519,8661,27,26,11,13,12,10,9,33,32,37,35,36,31,34,28,30])).
% 111.97/111.91  cnf(9048,plain,
% 111.97/111.91     (P1(a1,x90481,x90481)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(9049,plain,
% 111.97/111.91     (P2(f4(a1),x90491,f5(x90491,a3))),
% 111.97/111.91     inference(scs_inference,[],[128,7980,6938,17,127,4790,6888,5141,27,26,13,10,12])).
% 111.97/111.91  cnf(9050,plain,
% 111.97/111.91     (P2(x90501,x90502,f5(x90502,x90501))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(9052,plain,
% 111.97/111.91     (P1(x90521,a1,x90521)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9055,plain,
% 111.97/111.91     (P2(f2(x90551,a1),x90552,f5(x90551,x90552))),
% 111.97/111.91     inference(rename_variables,[],[1454])).
% 111.97/111.91  cnf(9056,plain,
% 111.97/111.91     (P1(x90561,a1,x90561)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9060,plain,
% 111.97/111.91     (P2(x90601,x90602,f5(x90602,x90601))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(9062,plain,
% 111.97/111.91     (~P1(a3,f5(a1,a3),a7)),
% 111.97/111.91     inference(scs_inference,[],[15,9052,7182,59,128,9050,1454,9055,8727,7960,7980,8804,6938,17,127,1311,4790,7240,4361,6888,5141,27,26,13,10,12,28,33,32,35])).
% 111.97/111.91  cnf(9065,plain,
% 111.97/111.91     (~P2(a1,a1,f2(a3,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,9052,9056,7182,59,128,9050,55,1454,9055,8727,7960,7980,8804,6938,8881,17,9048,127,1311,4790,7240,4361,6888,5141,27,26,13,10,12,28,33,32,35,37])).
% 111.97/111.91  cnf(9066,plain,
% 111.97/111.91     (P1(x90661,a1,x90661)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9067,plain,
% 111.97/111.91     (P1(a1,x90671,x90671)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(9068,plain,
% 111.97/111.91     (P2(x90681,f2(x90681,a3),x90681)),
% 111.97/111.91     inference(rename_variables,[],[55])).
% 111.97/111.91  cnf(9071,plain,
% 111.97/111.91     (P2(x90711,x90712,f5(x90712,x90711))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(9072,plain,
% 111.97/111.91     (P1(a1,x90721,x90721)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(9079,plain,
% 111.97/111.91     (P2(x90791,f2(x90791,a3),x90791)),
% 111.97/111.91     inference(rename_variables,[],[55])).
% 111.97/111.91  cnf(9080,plain,
% 111.97/111.91     (P1(x90801,a1,x90801)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9088,plain,
% 111.97/111.91     (P1(x90881,f5(a1,x90881),x90881)),
% 111.97/111.91     inference(scs_inference,[],[15,9052,9056,9066,9080,7182,8230,59,128,9050,9060,9071,55,9068,9079,1454,9055,219,3562,778,8727,7547,8825,7960,7980,8804,6938,8958,8881,17,9048,9067,9072,127,87,1263,1311,4790,7240,7578,4361,6888,5141,6953,7826,8998,27,26,13,10,12,28,33,32,35,37,36,34,30,2,11,9,14,31])).
% 111.97/111.91  cnf(9094,plain,
% 111.97/111.91     (~P2(f2(a1,a3),a1,f2(a3,a1))),
% 111.97/111.91     inference(scs_inference,[],[8881,27])).
% 111.97/111.91  cnf(9096,plain,
% 111.97/111.91     (~P1(a1,f5(a7,a1),f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[8825,8881,27,26])).
% 111.97/111.91  cnf(9101,plain,
% 111.97/111.91     (E(f5(x91011,a3),x91011)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(9103,plain,
% 111.97/111.91     (~E(f4(a3),f2(a3,a3))),
% 111.97/111.91     inference(scs_inference,[],[8799,5320,8825,8889,8881,127,43,6841,8045,8770,27,26,10,11,13,12])).
% 111.97/111.91  cnf(9105,plain,
% 111.97/111.91     (E(f5(x91051,a3),x91051)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(9106,plain,
% 111.97/111.91     (~P2(a3,f4(a1),f5(a1,a3))),
% 111.97/111.91     inference(scs_inference,[],[8799,5320,8825,8889,8881,6618,127,9101,9105,43,6841,8045,8770,27,26,10,11,13,12,9,14])).
% 111.97/111.91  cnf(9108,plain,
% 111.97/111.91     (E(f5(a1,a1),a1)),
% 111.97/111.91     inference(scs_inference,[],[8799,5320,8825,8889,8881,6618,17,127,9101,9105,43,6841,8045,8770,9088,27,26,10,11,13,12,9,14,28])).
% 111.97/111.91  cnf(9110,plain,
% 111.97/111.91     (P1(a1,x91101,x91101)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(9116,plain,
% 111.97/111.91     (P2(x91161,x91162,f5(x91162,x91161))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(9120,plain,
% 111.97/111.91     (P2(f2(a1,a3),f4(a1),f4(a1))),
% 111.97/111.91     inference(scs_inference,[],[8799,128,55,265,7498,7575,5320,8825,8889,8881,4273,6618,7755,17,127,9101,9105,87,43,6841,8045,8770,7416,9088,8914,27,26,10,11,13,12,9,14,28,32,33,37])).
% 111.97/111.91  cnf(9125,plain,
% 111.97/111.91     (P1(a1,x91251,x91251)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(9139,plain,
% 111.97/111.91     (E(a1,f5(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,8799,8031,59,128,9116,55,265,7498,508,7575,8499,5320,8727,8825,8889,8881,4273,6618,7755,17,9110,9125,127,9101,9105,87,43,18,65,5731,7240,6841,7872,8045,8770,7416,9088,8914,27,26,10,11,13,12,9,14,28,32,33,37,36,34,31,30,2])).
% 111.97/111.91  cnf(9153,plain,
% 111.97/111.91     (P1(a1,a1,f5(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,7487,9103,6490,9139,2,27,26,11])).
% 111.97/111.91  cnf(9154,plain,
% 111.97/111.91     (P1(x91541,a1,x91541)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9156,plain,
% 111.97/111.91     (E(f5(x91561,a3),x91561)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(9157,plain,
% 111.97/111.91     (~P2(f5(a3,a3),f4(a1),a1)),
% 111.97/111.91     inference(scs_inference,[],[15,8799,7433,7487,9103,127,9156,6490,9139,2,27,26,11,10,12])).
% 111.97/111.91  cnf(9158,plain,
% 111.97/111.91     (E(f5(x91581,a3),x91581)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(9161,plain,
% 111.97/111.91     (P2(a1,a1,a1)),
% 111.97/111.91     inference(scs_inference,[],[15,8799,128,7433,7487,9065,9103,127,9156,9158,6490,9108,9139,2,27,26,11,10,12,13,14])).
% 111.97/111.91  cnf(9162,plain,
% 111.97/111.91     (P2(x91621,x91622,f5(x91622,x91621))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(9169,plain,
% 111.97/111.91     (P2(x91691,f2(x91691,a3),x91691)),
% 111.97/111.91     inference(rename_variables,[],[55])).
% 111.97/111.91  cnf(9171,plain,
% 111.97/111.91     (~P2(f5(a7,a3),a1,f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,9154,8799,8031,128,55,7465,7433,7487,9065,9103,17,127,9156,9158,43,23,7091,6490,2804,7248,9108,9139,2,27,26,11,10,12,13,14,3,28,29,35])).
% 111.97/111.91  cnf(9172,plain,
% 111.97/111.91     (P1(x91721,a1,x91721)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9174,plain,
% 111.97/111.91     (P1(a1,x91741,x91741)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(9177,plain,
% 111.97/111.91     (P2(x91771,x91772,f5(x91772,x91771))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(9178,plain,
% 111.97/111.91     (P1(x91781,a1,x91781)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9181,plain,
% 111.97/111.91     (~P1(f5(a3,a1),a1,f4(a1))),
% 111.97/111.91     inference(scs_inference,[],[15,9154,9172,8799,8031,128,9162,9177,55,7465,8590,7433,7487,9065,9103,17,127,9156,9158,43,18,23,7091,4784,7530,6490,2804,7248,9106,9108,9139,2,27,26,11,10,12,13,14,3,28,29,35,32,37])).
% 111.97/111.91  cnf(9182,plain,
% 111.97/111.91     (P2(x91821,x91822,f5(x91822,x91821))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(9183,plain,
% 111.97/111.91     (P2(a3,x91831,x91831)),
% 111.97/111.91     inference(rename_variables,[],[18])).
% 111.97/111.91  cnf(9188,plain,
% 111.97/111.91     (~P2(a1,f2(a3,a1),f2(a3,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,9154,9172,9178,8799,8031,128,9162,9177,55,1271,3746,8499,7465,8590,7433,7487,9065,9103,17,127,9156,9158,43,18,23,1064,7091,4784,7666,7530,6490,2804,7248,9106,9108,9139,2,27,26,11,10,12,13,14,3,28,29,35,32,37,31,36])).
% 111.97/111.91  cnf(9189,plain,
% 111.97/111.91     (P1(x91891,a1,x91891)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9196,plain,
% 111.97/111.91     (~P1(f5(a7,a1),f5(a1,a1),f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,9154,9172,9178,9189,8799,8031,128,9162,9177,9182,55,9169,191,1271,3746,8499,7465,8590,7433,7487,9065,9103,17,9174,127,9156,9158,43,18,9183,23,24,1064,7091,4784,7666,7530,6490,2804,7248,9106,9108,9139,2,27,26,11,10,12,13,14,3,28,29,35,32,37,31,36,30,34])).
% 111.97/111.91  cnf(9201,plain,
% 111.97/111.91     (P2(f5(a1,a3),f5(a1,a3),f5(a1,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,9154,9172,9178,9189,8799,8031,128,9162,9177,9182,55,9169,191,1271,3746,8499,7465,8590,7433,7487,9065,9103,17,9174,127,9156,9158,43,18,9183,23,24,1064,7091,4784,7666,7530,6490,2804,7248,9106,9108,9139,2,27,26,11,10,12,13,14,3,28,29,35,32,37,31,36,30,34,1516])).
% 111.97/111.91  cnf(9202,plain,
% 111.97/111.91     (P2(f2(a1,a1),f2(a1,a1),f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,9154,9172,9178,9189,8799,8031,128,9162,9177,9182,55,9169,191,1271,3746,8499,7465,8590,7433,7487,9065,9103,17,9174,127,9156,9158,43,18,9183,23,24,1064,7091,4784,7666,7530,6490,2804,7248,9106,9108,9139,2,27,26,11,10,12,13,14,3,28,29,35,32,37,31,36,30,34,1516,2609])).
% 111.97/111.91  cnf(9209,plain,
% 111.97/111.91     (~P2(a3,f2(a3,a1),a1)),
% 111.97/111.91     inference(scs_inference,[],[8315,27])).
% 111.97/111.91  cnf(9215,plain,
% 111.97/111.91     (P1(a1,x92151,x92151)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(9217,plain,
% 111.97/111.91     (E(x92171,f5(x92171,a3))),
% 111.97/111.91     inference(rename_variables,[],[43])).
% 111.97/111.91  cnf(9218,plain,
% 111.97/111.91     (P2(f2(x92181,a3),x92182,f5(x92182,a3))),
% 111.97/111.91     inference(scs_inference,[],[128,8374,7755,8315,9181,17,43,2645,6687,7833,27,26,11,10,13,12])).
% 111.97/111.91  cnf(9219,plain,
% 111.97/111.91     (P2(x92191,x92192,f5(x92192,x92191))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(9222,plain,
% 111.97/111.91     (E(f5(a1,a1),f5(a1,a3))),
% 111.97/111.91     inference(scs_inference,[],[9094,128,265,8374,7755,8315,9181,17,43,9217,2645,6687,7833,9108,27,26,11,10,13,12,14,3])).
% 111.97/111.91  cnf(9225,plain,
% 111.97/111.91     (P1(x92251,a1,x92251)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9233,plain,
% 111.97/111.91     (P2(x92331,x92332,f5(x92332,x92331))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(9235,plain,
% 111.97/111.91     (P2(f5(x92351,a3),f5(x92351,a3),x92351)),
% 111.97/111.91     inference(scs_inference,[],[15,9225,9094,59,128,9219,265,8590,8958,8374,7755,8315,9181,17,9215,43,9217,693,7091,2645,8185,6687,7833,9108,9161,8486,27,26,11,10,13,12,14,3,28,33,32,35])).
% 111.97/111.91  cnf(9237,plain,
% 111.97/111.91     (P1(a1,x92371,x92371)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(9251,plain,
% 111.97/111.91     (E(f5(a1,a3),f5(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,9225,7074,8799,9094,59,128,9219,9233,55,265,96,8590,8958,8374,7755,9202,8315,9181,17,9215,9237,43,9217,18,5962,626,693,7091,7578,2645,8185,6687,7833,9108,9161,8486,27,26,11,10,13,12,14,3,28,33,32,35,31,37,36,2])).
% 111.97/111.91  cnf(9260,plain,
% 111.97/111.91     (E(f5(x92601,a3),x92601)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(9261,plain,
% 111.97/111.91     (P1(f5(a3,a1),f5(a1,a3),f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[8374,8006,127,43,2645,5086,8597,2,27,26,11,10])).
% 111.97/111.91  cnf(9264,plain,
% 111.97/111.91     (~E(f2(a3,a1),f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[6860,4328,8374,8006,127,43,2645,4567,5086,8597,7798,2,27,26,11,10,13,12])).
% 111.97/111.91  cnf(9273,plain,
% 111.97/111.91     (P1(x92731,a1,x92731)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9274,plain,
% 111.97/111.91     (P2(x92741,f2(x92741,a3),x92741)),
% 111.97/111.91     inference(rename_variables,[],[55])).
% 111.97/111.91  cnf(9279,plain,
% 111.97/111.91     (P2(x92791,x92792,f5(x92792,x92791))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(9283,plain,
% 111.97/111.91     (P1(x92831,a1,x92831)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9287,plain,
% 111.97/111.91     (P1(x92871,a1,x92871)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9289,plain,
% 111.97/111.91     (~P2(f2(a1,a1),a7,a1)),
% 111.97/111.91     inference(scs_inference,[],[15,9273,9283,9287,6860,7074,8903,9209,59,128,9279,55,9274,136,8051,8499,4328,8958,8374,9202,8006,9157,17,127,9260,43,217,4723,3547,6841,2645,8559,4567,5086,8597,8081,7798,7437,8563,2,27,26,11,10,13,12,9,14,3,32,33,35,31,36,37])).
% 111.97/111.91  cnf(9293,plain,
% 111.97/111.91     (~P2(f4(a1),f5(a3,a3),a1)),
% 111.97/111.91     inference(scs_inference,[],[9157,27])).
% 111.97/111.91  cnf(9298,plain,
% 111.97/111.91     (E(f5(x92981,a3),x92981)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(9300,plain,
% 111.97/111.91     (P1(x93001,a1,x93001)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9301,plain,
% 111.97/111.91     (~P2(f5(a1,a3),f2(a7,a1),a1)),
% 111.97/111.91     inference(scs_inference,[],[15,8709,9157,9181,127,9298,9222,27,26,10,11,12])).
% 111.97/111.91  cnf(9302,plain,
% 111.97/111.91     (E(f5(x93021,a3),x93021)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(9303,plain,
% 111.97/111.91     (~E(f5(a6,a3),f2(a6,a7))),
% 111.97/111.91     inference(scs_inference,[],[15,8709,238,9157,9181,9235,127,9298,9222,27,26,10,11,12,13])).
% 111.97/111.91  cnf(9307,plain,
% 111.97/111.91     (P2(a1,a1,f5(a1,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,8709,128,238,9157,9181,8218,9235,127,9298,9302,9222,27,26,10,11,12,13,9,14])).
% 111.97/111.91  cnf(9308,plain,
% 111.97/111.91     (P2(x93081,x93082,f5(x93082,x93081))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(9317,plain,
% 111.97/111.91     (P2(x93171,x93172,f5(x93172,x93171))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(9318,plain,
% 111.97/111.91     (P1(a1,x93181,x93181)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(9320,plain,
% 111.97/111.91     (P2(f5(a1,a3),f2(a3,a1),f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,8799,8709,59,128,9308,265,2853,8051,238,8727,9157,9181,8218,7210,9235,17,9318,127,9298,9302,87,43,7578,1493,7078,6226,9222,27,26,10,11,12,13,9,14,3,33,32,35,36])).
% 111.97/111.91  cnf(9322,plain,
% 111.97/111.91     (P1(a1,x93221,x93221)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(9325,plain,
% 111.97/111.91     (P1(f2(a1,a1),f5(a1,a1),f5(a1,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,9300,8799,8709,59,128,9308,9317,265,2853,8051,238,8727,9157,9181,8218,7210,9235,17,9318,127,9298,9302,87,43,24,7578,1493,7078,6226,9222,27,26,10,11,12,13,9,14,3,33,32,35,36,31])).
% 111.97/111.91  cnf(9327,plain,
% 111.97/111.91     (P1(x93271,a1,x93271)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9330,plain,
% 111.97/111.91     (~P2(f2(a3,a3),f2(a3,a3),a1)),
% 111.97/111.91     inference(scs_inference,[],[15,9300,9327,8799,8709,59,128,9308,9317,265,2853,508,8051,238,8727,9157,9181,8218,7210,9235,17,9318,9322,127,9298,9302,87,43,24,7578,1493,7078,8770,6226,9222,27,26,10,11,12,13,9,14,3,33,32,35,36,31,37])).
% 111.97/111.91  cnf(9340,plain,
% 111.97/111.91     (P2(f2(a3,a1),f5(a1,a3),f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[9320,27])).
% 111.97/111.91  cnf(9345,plain,
% 111.97/111.91     (P1(a1,x93451,x93451)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(9346,plain,
% 111.97/111.91     (P2(f5(a1,a1),a3,f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[59,9320,17,7833,962,9139,27,26,10,12])).
% 111.97/111.91  cnf(9348,plain,
% 111.97/111.91     (E(f5(x93481,a3),x93481)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(9349,plain,
% 111.97/111.91     (P2(f5(x93491,a3),x93491,x93491)),
% 111.97/111.91     inference(scs_inference,[],[59,9235,9320,17,127,9348,7833,962,9139,8971,27,26,10,12,11,13])).
% 111.97/111.91  cnf(9354,plain,
% 111.97/111.91     (P1(x93541,x93542,f2(x93542,x93541))),
% 111.97/111.91     inference(rename_variables,[],[87])).
% 111.97/111.91  cnf(9355,plain,
% 111.97/111.91     (P1(x93551,a1,x93551)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9357,plain,
% 111.97/111.91     (~P1(f2(a1,a1),a6,f2(a6,a7))),
% 111.97/111.91     inference(scs_inference,[],[15,38,59,128,8253,7378,9202,9235,9320,9188,17,127,9348,87,8559,7833,962,9139,8971,27,26,10,12,11,13,14,33,35])).
% 111.97/111.91  cnf(9363,plain,
% 111.97/111.91     (~P1(a1,f4(a3),f2(a3,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,9355,38,59,128,449,3562,8253,7378,6858,9202,9235,9320,7354,9330,9188,17,9345,127,9348,87,9354,8559,7833,962,9139,8971,27,26,10,12,11,13,14,33,35,32,36])).
% 111.97/111.91  cnf(9368,plain,
% 111.97/111.91     (P2(f2(a1,a3),f5(a1,a1),f5(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,9355,38,59,128,265,449,3562,8253,7378,6858,9202,9235,9320,7354,9330,9188,17,9345,127,9348,87,9354,8559,7833,962,9139,8971,9153,27,26,10,12,11,13,14,33,35,32,36,37])).
% 111.97/111.91  cnf(9381,plain,
% 111.97/111.91     (~P2(f2(a3,a1),a1,f2(a3,a1))),
% 111.97/111.91     inference(scs_inference,[],[9188,27])).
% 111.97/111.91  cnf(9386,plain,
% 111.97/111.91     (E(f5(x93861,a3),x93861)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(9387,plain,
% 111.97/111.91     (~E(f2(a1,a1),f5(a7,a3))),
% 111.97/111.91     inference(scs_inference,[],[8230,9202,9188,8975,127,5746,27,26,10,12])).
% 111.97/111.91  cnf(9389,plain,
% 111.97/111.91     (E(f5(x93891,a3),x93891)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(9396,plain,
% 111.97/111.91     (P1(x93961,a1,x93961)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9403,plain,
% 111.97/111.91     (P2(x94031,f2(x94031,a3),x94031)),
% 111.97/111.91     inference(rename_variables,[],[55])).
% 111.97/111.91  cnf(9405,plain,
% 111.97/111.91     (~P1(f5(a3,a1),f2(a1,a3),f5(a7,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,9396,8230,8138,9209,59,55,265,9202,7900,9188,8975,9264,7105,127,9386,9389,87,2119,2645,5746,6687,27,26,10,12,11,13,14,29,35,32,36])).
% 111.97/111.91  cnf(9409,plain,
% 111.97/111.91     (P2(x94091,f2(x94091,a3),x94091)),
% 111.97/111.91     inference(rename_variables,[],[55])).
% 111.97/111.91  cnf(9411,plain,
% 111.97/111.91     (~P1(f5(a1,a1),f2(a3,a3),a1)),
% 111.97/111.91     inference(scs_inference,[],[15,9396,8230,8138,9209,59,55,9403,9409,265,7498,7575,9202,7900,8817,9188,8975,9264,7105,127,9386,9389,87,18,2119,2645,1247,5746,6687,27,26,10,12,11,13,14,29,35,32,36,31,37])).
% 111.97/111.91  cnf(9432,plain,
% 111.97/111.91     (~P2(f5(a3,a3),f2(a3,a1),a1)),
% 111.97/111.91     inference(scs_inference,[],[9209,9368,127,6994,27,26,12])).
% 111.97/111.91  cnf(9433,plain,
% 111.97/111.91     (E(f5(x94331,a3),x94331)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(9440,plain,
% 111.97/111.91     (P2(a3,a1,f5(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[9209,128,158,9157,9368,6813,127,9433,43,7578,6994,9251,27,26,12,10,13,9,14])).
% 111.97/111.91  cnf(9441,plain,
% 111.97/111.91     (P2(x94411,x94412,f5(x94412,x94411))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(9443,plain,
% 111.97/111.91     (P1(x94431,a1,x94431)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9445,plain,
% 111.97/111.91     (P1(f2(x94451,a1),f2(a1,a1),x94451)),
% 111.97/111.91     inference(scs_inference,[],[15,9443,9209,59,128,158,1271,9264,9157,9368,6813,127,9433,43,1263,7578,6994,9251,27,26,12,10,13,9,14,28,33])).
% 111.97/111.91  cnf(9447,plain,
% 111.97/111.91     (P1(x94471,a1,x94471)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9450,plain,
% 111.97/111.91     (P2(f4(a3),f4(a3),f4(a3))),
% 111.97/111.91     inference(scs_inference,[],[15,9443,9209,59,128,158,1271,9264,9157,9368,6813,127,9433,43,1263,7578,6994,9161,7246,9251,27,26,12,10,13,9,14,28,33,35])).
% 111.97/111.91  cnf(9454,plain,
% 111.97/111.91     (~P1(f5(a3,a3),f5(a1,a1),f5(a7,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,9443,9447,8329,9209,9381,59,128,9441,158,1271,3746,9264,9157,9368,6813,127,9433,43,1263,7578,3547,8045,6994,9161,7246,9251,27,26,12,10,13,9,14,28,33,35,37,36])).
% 111.97/111.91  cnf(9466,plain,
% 111.97/111.91     (~E(a1,a7)),
% 111.97/111.91     inference(scs_inference,[],[15,9443,9447,8329,9209,9381,59,128,9441,265,158,96,449,1271,3746,8727,9264,9157,9368,6813,8869,127,9433,43,18,65,626,1263,7578,3547,8045,6994,9161,7246,9251,27,26,12,10,13,9,14,28,33,35,37,36,31,30,1961])).
% 111.97/111.91  cnf(9467,plain,
% 111.97/111.91     (~P2(a1,a7,f5(a6,a1))),
% 111.97/111.91     inference(scs_inference,[],[8685,27])).
% 111.97/111.91  cnf(9472,plain,
% 111.97/111.91     (P1(a1,x94721,x94721)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(9480,plain,
% 111.97/111.91     (P1(a1,x94801,x94801)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(9483,plain,
% 111.97/111.91     (~P1(f2(a1,a1),f4(a3),a3)),
% 111.97/111.91     inference(scs_inference,[],[9094,59,1454,7966,7105,8869,9405,7332,8685,17,9472,9480,127,87,43,19,9222,8546,27,26,10,13,9,14,33,35])).
% 111.97/111.91  cnf(9488,plain,
% 111.97/111.91     (P2(x94881,f2(x94881,a3),x94881)),
% 111.97/111.91     inference(rename_variables,[],[55])).
% 111.97/111.91  cnf(9489,plain,
% 111.97/111.91     (P1(x94891,a1,x94891)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9495,plain,
% 111.97/111.91     (~P2(f2(a3,a1),f5(a1,a3),f2(a3,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,9489,9094,9381,59,55,1454,3746,8727,7966,891,7105,8869,9405,7332,8685,17,9472,9480,127,87,43,19,3547,9222,8483,8546,9445,9440,27,26,10,13,9,14,33,35,31,36,37])).
% 111.97/111.91  cnf(9505,plain,
% 111.97/111.91     (~E(f5(a1,a3),a7)),
% 111.97/111.91     inference(scs_inference,[],[15,9489,9094,9381,8992,59,128,55,9488,1454,3746,7045,8727,7966,891,7105,8869,9405,9201,7332,8685,17,9472,9480,127,87,43,19,3547,6641,6935,9222,8483,8546,9445,9440,8766,27,26,10,13,9,14,33,35,31,36,37,30,9037,3,12])).
% 111.97/111.91  cnf(9510,plain,
% 111.97/111.91     (~P2(f5(a7,a3),f5(a1,a3),f5(a1,a3))),
% 111.97/111.91     inference(scs_inference,[],[8992,9120,127,6953,27,26,12])).
% 111.97/111.91  cnf(9511,plain,
% 111.97/111.91     (E(f5(x95111,a3),x95111)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(9520,plain,
% 111.97/111.91     (P1(x95201,a1,x95201)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9523,plain,
% 111.97/111.91     (~P1(f5(a1,a3),f5(a1,a1),f2(a3,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,8138,9381,8992,9293,128,802,7748,9120,9411,127,9511,43,495,1311,1458,9222,6953,9088,6483,27,26,12,10,13,14,3,33,35])).
% 111.97/111.91  cnf(9524,plain,
% 111.97/111.91     (P2(x95241,x95242,f5(x95242,x95241))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(9532,plain,
% 111.97/111.91     (P2(f5(a1,a1),f2(a3,a1),f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,9520,8138,9381,8992,9293,59,128,9524,802,7748,9120,9411,17,127,9511,87,43,18,495,635,1311,1458,9222,6953,9153,9088,6483,27,26,12,10,13,14,3,33,35,31,36])).
% 111.97/111.91  cnf(9545,plain,
% 111.97/111.91     (~P2(f5(a1,a3),f2(a3,a1),f2(a3,a1))),
% 111.97/111.91     inference(scs_inference,[],[9495,27])).
% 111.97/111.91  cnf(9550,plain,
% 111.97/111.91     (E(f5(x95501,a3),x95501)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(9554,plain,
% 111.97/111.91     (P1(x95541,a1,x95541)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9576,plain,
% 111.97/111.91     (~E(a7,a1)),
% 111.97/111.91     inference(scs_inference,[],[15,9554,38,8230,128,55,265,1454,7378,8727,778,1629,9202,7547,8685,9411,9466,9495,7154,7478,17,127,9550,5731,8559,8045,27,26,10,13,33,35,31,36,34,30,2])).
% 111.97/111.91  cnf(9578,plain,
% 111.97/111.91     (~P2(a1,a3,f5(a7,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,9554,38,8230,59,128,55,265,1454,7378,8727,778,1629,9202,7547,8685,9411,9466,9387,9495,9523,7154,7478,17,127,9550,5731,8559,8045,8971,27,26,10,13,33,35,31,36,34,30,2,11,29])).
% 111.97/111.91  cnf(9587,plain,
% 111.97/111.91     (P2(f2(a3,a1),f5(a1,a1),f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[9532,27])).
% 111.97/111.91  cnf(9589,plain,
% 111.97/111.91     (P1(f5(a1,a1),f5(a1,a3),f5(a1,a3))),
% 111.97/111.91     inference(scs_inference,[],[9532,8971,27,26])).
% 111.97/111.91  cnf(9592,plain,
% 111.97/111.91     (P2(f5(a1,a3),a1,f5(a1,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,9201,9532,127,8971,9139,27,26,10,13])).
% 111.97/111.91  cnf(9593,plain,
% 111.97/111.91     (E(f5(x95931,a3),x95931)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(9600,plain,
% 111.97/111.91     (P1(x96001,a1,x96001)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9618,plain,
% 111.97/111.91     (~P1(f4(a3),a1,f4(a1))),
% 111.97/111.91     inference(scs_inference,[],[15,9600,9094,9545,59,128,55,265,7498,802,1271,5448,7045,7780,7105,9466,9201,7463,9532,17,127,9593,87,18,495,4723,7872,848,8971,9139,8199,27,26,10,13,11,29,35,36,31,32,37,34])).
% 111.97/111.91  cnf(9635,plain,
% 111.97/111.91     (~P2(f5(a1,a3),f5(a7,a3),f5(a1,a3))),
% 111.97/111.91     inference(scs_inference,[],[9510,27])).
% 111.97/111.91  cnf(9682,plain,
% 111.97/111.91     (E(f5(x96821,a3),x96821)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(9684,plain,
% 111.97/111.91     (E(f5(x96841,a3),x96841)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(9689,plain,
% 111.97/111.91     (P1(x96891,a1,x96891)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9691,plain,
% 111.97/111.91     (~P1(f5(a1,a3),a3,f5(a7,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,9689,9635,59,7748,7478,9363,9346,9171,127,9682,9684,130,7407,6799,7848,26,27,10,13,9,33,36])).
% 111.97/111.91  cnf(9692,plain,
% 111.97/111.91     (P1(x96921,a1,x96921)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9696,plain,
% 111.97/111.91     (P2(x96961,x96962,f5(x96962,x96961))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(9697,plain,
% 111.97/111.91     (P1(x96971,a1,x96971)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9700,plain,
% 111.97/111.91     (P1(x97001,a1,x97001)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9707,plain,
% 111.97/111.91     (~P1(f5(a3,a3),f2(a6,a1),f2(a7,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,9689,9692,9697,9700,7733,9381,9635,59,128,1454,7748,645,6131,964,8825,7478,9363,9346,9171,17,127,9682,9684,130,5731,7407,9161,6799,7848,26,27,10,13,9,33,36,35,31,37,34])).
% 111.97/111.91  cnf(9716,plain,
% 111.97/111.91     (~E(f2(a1,a3),f5(a1,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,9689,9692,9697,9700,7733,9381,9545,9635,59,128,9696,55,1454,7748,645,8499,6131,964,4164,8825,7478,9363,9346,9171,17,127,9682,9684,130,5731,7240,7407,9161,6799,7848,26,27,10,13,9,33,36,35,31,37,34,30,12])).
% 111.97/111.91  cnf(9722,plain,
% 111.97/111.91     (~P2(a1,f5(a7,a3),f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[9171,27])).
% 111.97/111.91  cnf(9727,plain,
% 111.97/111.91     (P1(a1,x97271,x97271)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(9731,plain,
% 111.97/111.91     (E(x97311,f5(x97311,a3))),
% 111.97/111.91     inference(rename_variables,[],[43])).
% 111.97/111.91  cnf(9738,plain,
% 111.97/111.91     (P2(x97381,x97382,f5(x97382,x97381))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(9742,plain,
% 111.97/111.91     (P1(x97421,a1,x97421)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9743,plain,
% 111.97/111.91     (P2(x97431,x97432,f5(x97432,x97431))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(9747,plain,
% 111.97/111.91     (P1(a1,x97471,x97471)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(9749,plain,
% 111.97/111.91     (~P2(f5(a1,a3),f5(a7,a3),a1)),
% 111.97/111.91     inference(scs_inference,[],[15,9742,9635,8903,128,9738,9743,55,7498,7575,7478,7755,9346,9171,17,9727,9747,127,43,9731,1263,1021,9153,8893,7093,7886,7778,9592,27,26,10,12,13,3,33,35,31,36,37])).
% 111.97/111.91  cnf(9766,plain,
% 111.97/111.91     (P2(x97661,f2(x97662,a3),f5(x97661,a3))),
% 111.97/111.91     inference(scs_inference,[],[9218,27])).
% 111.97/111.91  cnf(9776,plain,
% 111.97/111.91     (~P1(f5(a6,a3),a1,f2(a6,a7))),
% 111.97/111.91     inference(scs_inference,[],[15,38,6860,7733,59,7498,9235,9218,240,7091,6953,4952,9108,8661,8812,27,26,10,13,14,31,35])).
% 111.97/111.91  cnf(9786,plain,
% 111.97/111.91     (~P1(a1,f2(a3,a1),f5(a1,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,38,6860,7733,9545,59,55,265,7498,645,9235,9483,9218,17,240,7091,6953,4952,9108,8661,8812,8087,27,26,10,13,14,31,35,33,36])).
% 111.97/111.91  cnf(9811,plain,
% 111.97/111.91     (E(f5(x98111,a3),x98111)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(9813,plain,
% 111.97/111.91     (E(f5(x98131,a3),x98131)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(9817,plain,
% 111.97/111.91     (P2(x98171,x98172,f5(x98172,x98171))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(9829,plain,
% 111.97/111.91     (P1(x98291,a1,x98291)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9832,plain,
% 111.97/111.91     (~P2(f2(a1,a1),f2(a3,a1),f2(a3,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,9829,7182,9545,59,128,9817,7498,9235,9363,9387,9411,9618,8438,7758,8346,127,9811,9813,495,2119,22,1014,9589,27,26,10,13,11,14,29,31,36,33,35])).
% 111.97/111.91  cnf(9853,plain,
% 111.97/111.91     (P1(f2(a3,a1),f5(a3,a3),f2(x98531,a3))),
% 111.97/111.91     inference(scs_inference,[],[7875,6493,27,26])).
% 111.97/111.91  cnf(9855,plain,
% 111.97/111.91     (P1(a1,a3,f2(x98551,a3))),
% 111.97/111.91     inference(scs_inference,[],[7875,17,6493,7474,27,26,10])).
% 111.97/111.91  cnf(9859,plain,
% 111.97/111.91     (P2(f5(x98591,a3),f4(x98591),f5(a1,a3))),
% 111.97/111.91     inference(scs_inference,[],[158,9340,7875,17,127,43,6493,7474,27,26,10,13,14])).
% 111.97/111.91  cnf(9864,plain,
% 111.97/111.91     (~P2(f2(a3,a1),f2(a3,a1),f5(a1,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,158,1271,3746,8499,9387,9340,7875,17,127,43,4952,6493,7474,27,26,10,13,14,28,31])).
% 111.97/111.91  cnf(9900,plain,
% 111.97/111.91     (P1(x99001,a1,x99001)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9904,plain,
% 111.97/111.91     (P2(x99041,x99042,f5(x99042,x99041))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(9908,plain,
% 111.97/111.91     (P1(x99081,a1,x99081)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9911,plain,
% 111.97/111.91     (P1(x99111,a1,x99111)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9918,plain,
% 111.97/111.91     (P1(x99181,a1,x99181)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9925,plain,
% 111.97/111.91     (~E(a7,f5(a1,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,9900,9908,9911,9918,9545,8138,59,128,9904,55,2487,7748,8825,1209,7105,8106,9483,9330,8346,9505,577,8058,9786,127,130,23,635,1950,6627,5241,5021,6224,7474,7364,8281,27,26,10,13,14,9,31,35,33,36,37,34,30,2])).
% 111.97/111.91  cnf(9930,plain,
% 111.97/111.91     (P2(x99301,f4(a1),f5(x99301,a3))),
% 111.97/111.91     inference(scs_inference,[],[9049,27])).
% 111.97/111.91  cnf(9932,plain,
% 111.97/111.91     (P1(a1,f2(x99321,a1),x99321)),
% 111.97/111.91     inference(scs_inference,[],[9049,7250,27,26])).
% 111.97/111.91  cnf(9935,plain,
% 111.97/111.91     (E(f5(x99351,a3),x99351)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(9941,plain,
% 111.97/111.91     (P2(x99411,x99412,f5(x99412,x99411))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(9944,plain,
% 111.97/111.91     (P1(x99441,f5(a1,x99441),f2(x99441,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,9722,9467,128,9941,55,9510,7383,9049,127,9935,43,1738,7250,9576,9859,27,26,10,13,12,14,3,31])).
% 111.97/111.91  cnf(9946,plain,
% 111.97/111.91     (P1(x99461,a1,x99461)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9947,plain,
% 111.97/111.91     (P2(x99471,x99472,f5(x99472,x99471))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(9958,plain,
% 111.97/111.91     (P1(a1,x99581,x99581)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(9960,plain,
% 111.97/111.91     (~P2(f2(a3,a1),f2(a3,a1),a1)),
% 111.97/111.91     inference(scs_inference,[],[15,9946,7182,9722,9467,59,128,9941,9947,55,7498,9235,9510,7383,9049,17,9958,127,9935,43,2119,1738,7250,9088,7889,9576,9864,7884,9859,9855,27,26,10,13,12,14,3,31,35,33,36,37])).
% 111.97/111.91  cnf(9961,plain,
% 111.97/111.91     (P1(x99611,a1,x99611)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9962,plain,
% 111.97/111.91     (P1(a1,x99621,x99621)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(9965,plain,
% 111.97/111.91     (P1(x99651,a1,x99651)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(9973,plain,
% 111.97/111.91     (E(f5(a1,a1),f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,9946,9961,9965,7182,7074,9722,9467,59,128,9941,9947,55,7498,9235,9510,9218,7383,9049,17,9958,9962,127,9935,43,2119,22,1205,1738,7250,9088,7889,9576,9864,7884,9859,9855,27,26,10,13,12,14,3,31,35,33,36,37,34,30,28])).
% 111.97/111.91  cnf(9982,plain,
% 111.97/111.91     (~E(f5(a1,a3),f2(a1,a3))),
% 111.97/111.91     inference(scs_inference,[],[9716,2])).
% 111.97/111.91  cnf(9983,plain,
% 111.97/111.91     (~P2(f2(a3,a1),f2(a1,a1),f2(a3,a1))),
% 111.97/111.91     inference(scs_inference,[],[9716,9832,2,27])).
% 111.97/111.91  cnf(10035,plain,
% 111.97/111.91     (P1(f5(a1,x100351),x100351,x100351)),
% 111.97/111.91     inference(scs_inference,[],[9030,9088,27,26])).
% 111.97/111.91  cnf(10038,plain,
% 111.97/111.91     (E(f5(x100381,a3),x100381)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(10045,plain,
% 111.97/111.91     (P1(x100451,a1,x100451)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10048,plain,
% 111.97/111.91     (P2(x100481,f2(x100481,a3),x100481)),
% 111.97/111.91     inference(rename_variables,[],[55])).
% 111.97/111.91  cnf(10053,plain,
% 111.97/111.91     (P1(x100531,a1,x100531)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10054,plain,
% 111.97/111.91     (P1(a1,x100541,x100541)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(10057,plain,
% 111.97/111.91     (~P1(f2(a3,a1),f2(a1,a3),f5(a1,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,10045,10053,7074,9545,9467,55,265,7498,9483,7755,9505,8848,9030,17,127,10038,1263,7091,5574,1990,6094,9088,27,26,10,13,11,14,28,29,31,35,36])).
% 111.97/111.91  cnf(10059,plain,
% 111.97/111.91     (P1(x100591,a1,x100591)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10063,plain,
% 111.97/111.91     (P1(a1,x100631,x100631)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(10064,plain,
% 111.97/111.91     (P2(x100641,f2(x100641,a3),x100641)),
% 111.97/111.91     inference(rename_variables,[],[55])).
% 111.97/111.91  cnf(10066,plain,
% 111.97/111.91     (~P1(f2(a1,a1),f2(a3,a3),f2(a6,a7))),
% 111.97/111.91     inference(scs_inference,[],[15,10045,10053,7074,9545,9722,9467,59,55,10048,265,7498,508,9483,7755,9505,5996,8848,9030,17,10054,10063,127,10038,1263,7091,5574,1990,6094,9088,27,26,10,13,11,14,28,29,31,35,36,37,34])).
% 111.97/111.91  cnf(10068,plain,
% 111.97/111.91     (P1(a1,x100681,x100681)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(10072,plain,
% 111.97/111.91     (P1(x100721,a1,x100721)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10076,plain,
% 111.97/111.91     (P1(x100761,f5(a1,a3),x100761)),
% 111.97/111.91     inference(rename_variables,[],[7240])).
% 111.97/111.91  cnf(10080,plain,
% 111.97/111.91     (P1(x100801,f5(a1,a1),f5(x100801,x100801))),
% 111.97/111.91     inference(scs_inference,[],[15,10045,10053,10059,10072,7074,9545,9722,9467,59,128,55,10048,10064,265,7498,508,8499,7045,1629,9483,7755,9505,5996,8848,8715,9766,9030,17,10054,10063,10068,127,10038,1263,7091,5574,7240,10076,1990,6094,9088,27,26,10,13,11,14,28,29,31,35,36,37,34,32,30,33])).
% 111.97/111.91  cnf(10085,plain,
% 111.97/111.91     (~P2(a7,f2(a1,a1),a1)),
% 111.97/111.91     inference(scs_inference,[],[9289,27])).
% 111.97/111.91  cnf(10090,plain,
% 111.97/111.91     (E(f5(x100901,a3),x100901)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(10094,plain,
% 111.97/111.91     (P2(x100941,x100942,f5(x100942,x100941))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(10096,plain,
% 111.97/111.91     (P1(x100961,a1,x100961)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10103,plain,
% 111.97/111.91     (P2(f2(x101031,a1),f2(x101031,a1),x101031)),
% 111.97/111.91     inference(scs_inference,[],[15,128,10094,250,3445,9181,9786,9289,8206,8933,17,127,10090,9161,1247,9349,9932,27,26,10,13,14,31,33,35])).
% 111.97/111.91  cnf(10108,plain,
% 111.97/111.91     (P1(x101081,f2(x101082,a1),f2(x101081,x101082))),
% 111.97/111.91     inference(rename_variables,[],[1266])).
% 111.97/111.91  cnf(10113,plain,
% 111.97/111.91     (~P1(f2(a3,a1),f2(a1,a1),f5(a7,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,10096,9545,9381,59,128,10094,250,6706,3445,1025,5350,9181,9786,9289,8206,8933,17,127,10090,5962,1266,4723,9161,1247,9349,9932,27,26,10,13,14,31,33,35,36,37,34])).
% 111.97/111.91  cnf(10114,plain,
% 111.97/111.91     (P1(x101141,a1,x101141)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10120,plain,
% 111.97/111.91     (~P1(f5(a3,a1),f2(a1,a1),f2(a3,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,10096,10114,9545,9381,59,128,10094,7498,1271,250,6706,7575,3445,1025,5350,8590,9181,9786,9289,8206,8933,17,127,10090,5962,24,1266,10108,4723,9161,1247,9349,9932,27,26,10,13,14,31,33,35,36,37,34,32,30])).
% 111.97/111.91  cnf(10127,plain,
% 111.97/111.91     (P2(f2(a1,x101271),a3,x101271)),
% 111.97/111.91     inference(scs_inference,[],[626,27])).
% 111.97/111.91  cnf(10133,plain,
% 111.97/111.91     (E(x101331,f5(x101331,a3))),
% 111.97/111.91     inference(rename_variables,[],[43])).
% 111.97/111.91  cnf(10135,plain,
% 111.97/111.91     (E(f5(x101351,a3),x101351)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(10141,plain,
% 111.97/111.91     (P2(x101411,f2(x101411,a3),x101411)),
% 111.97/111.91     inference(rename_variables,[],[55])).
% 111.97/111.91  cnf(10142,plain,
% 111.97/111.91     (P1(x101421,a1,x101421)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10145,plain,
% 111.97/111.91     (P2(f2(x101451,a3),x101451,x101451)),
% 111.97/111.91     inference(rename_variables,[],[265])).
% 111.97/111.91  cnf(10149,plain,
% 111.97/111.91     (P1(x101491,a1,x101491)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10155,plain,
% 111.97/111.91     (~P2(f5(a1,a3),a1,f2(a3,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,10142,9545,9983,59,128,55,265,158,7498,3562,9786,9411,7148,7383,9030,9960,17,127,10135,43,10133,626,889,7407,8559,1458,4353,7513,27,26,10,13,11,14,9,31,33,36,35,37])).
% 111.97/111.91  cnf(10160,plain,
% 111.97/111.91     (~P2(f5(a3,a1),f2(a3,a1),f2(a3,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,10142,10149,9545,9983,59,128,55,265,158,7498,3562,9786,9411,7148,7383,9030,9960,17,127,10135,43,10133,626,889,7407,8559,4784,1458,6651,4353,7513,27,26,10,13,11,14,9,31,33,36,35,37,34])).
% 111.97/111.91  cnf(10169,plain,
% 111.97/111.91     (~E(f4(a3),a7)),
% 111.97/111.91     inference(scs_inference,[],[15,10142,10149,9545,9983,59,128,55,10141,265,10145,158,7498,3562,8407,9786,9411,7148,7383,9030,9450,8311,9960,17,127,10135,43,10133,626,889,7407,8559,4784,1458,4440,6651,4353,7513,27,26,10,13,11,14,9,31,33,36,35,37,34,30,12])).
% 111.97/111.91  cnf(10179,plain,
% 111.97/111.91     (~P2(f5(a1,a3),a7,f5(a6,a1))),
% 111.97/111.91     inference(scs_inference,[],[9545,9467,176,7154,10160,127,6935,9088,27,26,10,13,12])).
% 111.97/111.91  cnf(10180,plain,
% 111.97/111.91     (E(f5(x101801,a3),x101801)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(10186,plain,
% 111.97/111.91     (P1(f2(a1,x101861),x101862,f2(x101862,x101861))),
% 111.97/111.91     inference(rename_variables,[],[1950])).
% 111.97/111.91  cnf(10189,plain,
% 111.97/111.91     (P1(a1,x101891,x101891)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(10190,plain,
% 111.97/111.91     (P1(a1,x101901,x101901)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(10192,plain,
% 111.97/111.91     (~P1(a1,a3,f5(a1,a3))),
% 111.97/111.91     inference(scs_inference,[],[9545,9467,59,176,7465,8889,7154,10160,8055,17,127,10180,46,4723,1950,10186,6935,9088,9303,27,26,10,13,12,14,3,28,33,35])).
% 111.97/111.91  cnf(10195,plain,
% 111.97/111.91     (~P2(f2(a1,a1),a1,f4(a7))),
% 111.97/111.91     inference(scs_inference,[],[15,9545,9467,59,176,7465,8889,7154,10160,8055,10103,17,10190,127,10180,46,4723,1950,10186,6935,9088,7342,9303,27,26,10,13,12,14,3,28,33,35,37])).
% 111.97/111.91  cnf(10196,plain,
% 111.97/111.91     (P1(x101961,a1,x101961)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10197,plain,
% 111.97/111.91     (P1(a1,x101971,x101971)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(10200,plain,
% 111.97/111.91     (~P1(f2(a6,a1),f2(a1,a3),f2(a7,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,10196,9545,7733,9467,59,265,1454,176,7465,8889,7154,10160,8055,10103,17,10190,127,10180,46,4723,1950,10186,6935,9088,7342,9303,27,26,10,13,12,14,3,28,33,35,37,34])).
% 111.97/111.91  cnf(10207,plain,
% 111.97/111.91     (P1(a1,x102071,x102071)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(10210,plain,
% 111.97/111.91     (P2(f5(a3,a3),f2(a3,a1),f2(a3,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,10196,9545,7733,9467,59,265,1454,176,7465,1025,8889,7154,10160,8055,10103,17,10190,10197,10207,10189,127,10180,87,46,4723,1950,10186,19,824,6935,9088,7342,9303,27,26,10,13,12,14,3,28,33,35,37,34,30,36])).
% 111.97/111.91  cnf(10220,plain,
% 111.97/111.91     (E(f5(x102201,a3),x102201)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(10226,plain,
% 111.97/111.91     (P1(x102261,a1,x102261)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10229,plain,
% 111.97/111.91     (P1(x102291,a1,x102291)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10230,plain,
% 111.97/111.91     (P1(x102301,a1,x102301)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10232,plain,
% 111.97/111.91     (P2(x102321,x102321,x102321)),
% 111.97/111.91     inference(scs_inference,[],[15,10226,10230,128,8499,7242,9103,10210,8455,8526,127,10220,9161,9445,9307,27,26,10,13,14,28,33,36])).
% 111.97/111.91  cnf(10240,plain,
% 111.97/111.91     (P1(x102401,a1,x102401)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10243,plain,
% 111.97/111.91     (P2(f4(x102431),x102431,f4(a3))),
% 111.97/111.91     inference(rename_variables,[],[802])).
% 111.97/111.91  cnf(10244,plain,
% 111.97/111.91     (P1(x102441,a1,x102441)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10248,plain,
% 111.97/111.91     (P2(f4(a1),a3,f2(a3,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,10226,10230,10240,10244,10229,38,128,55,802,10243,6811,8499,2878,7242,9618,9450,9103,10210,8455,8526,127,10220,495,415,9161,7250,9445,9307,27,26,10,13,14,28,33,36,35,34,30,29,37])).
% 111.97/111.91  cnf(10256,plain,
% 111.97/111.91     (~P2(a1,f5(a7,a3),a6)),
% 111.97/111.91     inference(scs_inference,[],[8526,27])).
% 111.97/111.91  cnf(10263,plain,
% 111.97/111.91     (P2(x102631,x102631,x102631)),
% 111.97/111.91     inference(rename_variables,[],[10232])).
% 111.97/111.91  cnf(10269,plain,
% 111.97/111.91     (P1(f2(a1,a1),f5(a3,a1),f5(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[128,55,964,8526,10232,10263,9454,10169,17,127,43,6994,9973,27,26,10,13,14,29,33])).
% 111.97/111.91  cnf(10310,plain,
% 111.97/111.91     (E(x103101,f5(x103101,a3))),
% 111.97/111.91     inference(rename_variables,[],[43])).
% 111.97/111.91  cnf(10312,plain,
% 111.97/111.91     (~P2(f5(a1,a3),f2(a3,a1),f5(a3,a3))),
% 111.97/111.91     inference(scs_inference,[],[6860,9545,10248,43,5574,8914,5242,9973,27,26,10,13,14])).
% 111.97/111.91  cnf(10314,plain,
% 111.97/111.91     (E(f5(x103141,x103141),x103141)),
% 111.97/111.91     inference(scs_inference,[],[6860,9545,128,10232,10248,43,5574,8914,5242,9973,27,26,10,13,14,29])).
% 111.97/111.91  cnf(10315,plain,
% 111.97/111.91     (P2(x103151,x103151,x103151)),
% 111.97/111.91     inference(rename_variables,[],[10232])).
% 111.97/111.91  cnf(10316,plain,
% 111.97/111.91     (P2(x103161,x103162,f5(x103162,x103161))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(10329,plain,
% 111.97/111.91     (P1(x103291,a1,x103291)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10339,plain,
% 111.97/111.91     (~E(f5(a1,a1),f5(a3,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,10329,6860,9545,9381,59,128,10316,7498,393,8499,8727,5320,7547,4059,8869,10232,10103,10169,10248,43,5962,5574,889,1458,4812,7246,7866,8914,8998,5242,9973,10269,7970,27,26,10,13,14,29,31,36,37,34,32,30,2,11])).
% 111.97/111.91  cnf(10340,plain,
% 111.97/111.91     (P1(a3,f2(a3,a1),f5(a3,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,10329,6860,9545,9381,59,128,10316,7498,393,8499,8727,5320,7547,4059,8869,10232,10103,10169,10248,127,43,5962,5574,889,1458,4812,7246,7866,8914,6058,8998,5242,9973,10269,7970,27,26,10,13,14,29,31,36,37,34,32,30,2,11,9])).
% 111.97/111.91  cnf(10342,plain,
% 111.97/111.91     (P2(f2(x103421,a1),x103421,f2(x103421,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,10329,6860,9545,9381,59,128,10316,7498,393,8499,8727,5320,7547,4059,8869,10232,10315,10103,10169,10248,17,127,43,5962,5574,889,1458,4812,7246,7866,8914,6058,8998,5242,9932,9973,10269,7970,27,26,10,13,14,29,31,36,37,34,32,30,2,11,9,35])).
% 111.97/111.91  cnf(10347,plain,
% 111.97/111.91     (~P2(f5(a6,a6),f2(a6,a7),a6)),
% 111.97/111.91     inference(scs_inference,[],[15,10329,6860,9545,9381,59,128,10316,7498,393,8499,8727,5320,7547,4059,8869,10232,10315,10103,10169,10248,17,127,43,5962,5574,889,1458,4812,7246,7866,8914,6058,8998,5242,9932,9973,10269,7970,27,26,10,13,14,29,31,36,37,34,32,30,2,11,9,35,94])).
% 111.97/111.91  cnf(10348,plain,
% 111.97/111.91     (E(f5(a6,a6),f5(a6,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,10329,6860,9545,9381,59,128,10316,7498,393,8499,8727,5320,7547,4059,8869,10232,10315,10103,10169,10248,17,127,43,10310,5962,5574,889,1458,4812,7246,7866,8914,6058,8998,5242,9932,9973,10269,7970,27,26,10,13,14,29,31,36,37,34,32,30,2,11,9,35,94,3])).
% 111.97/111.91  cnf(10360,plain,
% 111.97/111.91     (E(f5(x103601,a3),x103601)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(10364,plain,
% 111.97/111.91     (P2(x103641,x103642,f5(x103642,x103641))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(10366,plain,
% 111.97/111.91     (E(f5(x103661,a3),x103661)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(10382,plain,
% 111.97/111.91     (P1(x103821,x103822,f2(x103821,x103822))),
% 111.97/111.91     inference(rename_variables,[],[23])).
% 111.97/111.91  cnf(10387,plain,
% 111.97/111.91     (P2(x103871,f2(x103871,a3),x103871)),
% 111.97/111.91     inference(rename_variables,[],[55])).
% 111.97/111.91  cnf(10390,plain,
% 111.97/111.91     (P1(x103901,a1,x103901)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10393,plain,
% 111.97/111.91     (~P2(a7,a6,a1)),
% 111.97/111.91     inference(scs_inference,[],[15,10390,38,7074,9381,8329,59,128,55,7498,393,1271,8051,964,5350,8360,9387,9264,10232,9340,8455,9587,9707,6563,9000,8787,7097,17,127,10360,10366,18,23,10382,1266,7240,7407,9973,10314,27,2,26,10,13,14,11,9,3,29,33,31,36,35,37,34])).
% 111.97/111.91  cnf(10395,plain,
% 111.97/111.91     (P1(x103951,a1,x103951)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10400,plain,
% 111.97/111.91     (P2(x104001,f2(x104001,a3),x104001)),
% 111.97/111.91     inference(rename_variables,[],[55])).
% 111.97/111.91  cnf(10407,plain,
% 111.97/111.91     (~E(f2(a1,a1),a7)),
% 111.97/111.91     inference(scs_inference,[],[15,10390,10395,38,7074,9381,8329,10085,59,128,10364,55,10387,10400,7498,393,1271,8051,964,5350,8360,9387,9786,9411,9264,10232,7148,10103,9340,8455,9587,9707,6563,9000,8787,7097,17,127,10360,10366,18,23,10382,1266,7240,7407,9932,9973,10314,27,2,26,10,13,14,11,9,3,29,33,31,36,35,37,34,32,30,12])).
% 111.97/111.91  cnf(10409,plain,
% 111.97/111.91     (P2(x104091,f2(x104091,a1),f2(x104091,a1))),
% 111.97/111.91     inference(scs_inference,[],[10342,27])).
% 111.97/111.91  cnf(10412,plain,
% 111.97/111.91     (P1(f5(a3,a1),f2(a1,a1),f5(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[10342,10407,10269,27,2,26])).
% 111.97/111.91  cnf(10415,plain,
% 111.97/111.91     (P1(a1,x104151,x104151)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(10419,plain,
% 111.97/111.91     (E(f5(x104191,a3),x104191)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(10421,plain,
% 111.97/111.91     (E(f5(x104211,a3),x104211)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(10422,plain,
% 111.97/111.91     (P1(f5(x104221,x104221),a1,x104221)),
% 111.97/111.91     inference(scs_inference,[],[15,10085,1629,10248,10342,10407,17,127,10419,43,10269,10314,27,2,26,10,13,14,12,11])).
% 111.97/111.91  cnf(10423,plain,
% 111.97/111.91     (P1(x104231,a1,x104231)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10425,plain,
% 111.97/111.91     (P1(x104251,a1,x104251)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10435,plain,
% 111.97/111.91     (P1(x104351,a1,x104351)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10437,plain,
% 111.97/111.91     (P2(a1,f2(a3,a1),f5(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,10423,10425,10435,10085,55,2853,8051,7045,6131,1629,6714,8869,10248,10342,10407,17,10415,127,10419,10421,87,43,5962,10269,10314,9982,27,2,26,10,13,14,12,11,9,3,29,33,31,36])).
% 111.97/111.91  cnf(10464,plain,
% 111.97/111.91     (~P2(f5(a3,a3),a3,f2(a1,a7))),
% 111.97/111.91     inference(scs_inference,[],[7097,27])).
% 111.97/111.91  cnf(10466,plain,
% 111.97/111.91     (E(f5(a6,a3),f5(a6,a6))),
% 111.97/111.91     inference(scs_inference,[],[7097,10348,27,2])).
% 111.97/111.91  cnf(10473,plain,
% 111.97/111.91     (~P2(f5(a1,a3),f5(a7,a3),f5(a3,a1))),
% 111.97/111.91     inference(scs_inference,[],[9545,9635,7097,10057,127,46,5814,6866,10348,27,2,26,10,13,14])).
% 111.97/111.91  cnf(10475,plain,
% 111.97/111.91     (P1(f5(a1,a3),a3,f2(x104751,a3))),
% 111.97/111.91     inference(scs_inference,[],[9545,9635,7097,10057,127,43,46,5814,9855,6866,10120,10412,10348,27,2,26,10,13,14,11,9])).
% 111.97/111.91  cnf(10478,plain,
% 111.97/111.91     (P1(x104781,a1,x104781)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10481,plain,
% 111.97/111.91     (P1(x104811,a1,x104811)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10486,plain,
% 111.97/111.91     (P2(x104861,x104862,f5(x104862,x104861))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(10487,plain,
% 111.97/111.91     (P1(x104871,a1,x104871)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10490,plain,
% 111.97/111.91     (P2(a1,a1,f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,10478,10481,10487,9545,9635,128,10486,7966,7960,10407,9766,7097,10057,17,127,43,46,5814,7530,9855,6866,10120,10412,10348,9944,27,2,26,10,13,14,11,9,28,33,31,36])).
% 111.97/111.91  cnf(10493,plain,
% 111.97/111.91     (P1(x104931,a1,x104931)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10496,plain,
% 111.97/111.91     (~P1(f2(a6,a7),a1,a6)),
% 111.97/111.91     inference(scs_inference,[],[15,10478,10481,10487,10493,38,9545,9635,128,10486,7966,10232,7960,10407,9766,7097,10057,17,127,43,46,5814,7530,9855,6866,10120,10412,10348,9944,27,2,26,10,13,14,11,9,28,33,31,36,35])).
% 111.97/111.91  cnf(10498,plain,
% 111.97/111.91     (P1(x104981,a1,x104981)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10500,plain,
% 111.97/111.91     (P2(f2(a1,a3),f2(a3,a1),a3)),
% 111.97/111.91     inference(scs_inference,[],[15,10478,10481,10487,10493,10498,38,9545,9635,128,10486,265,7966,4164,10232,7960,10407,9766,7097,10057,17,127,43,46,5814,7250,7530,9855,6866,10120,10412,10348,9944,27,2,26,10,13,14,11,9,28,33,31,36,35,37])).
% 111.97/111.91  cnf(10516,plain,
% 111.97/111.91     (P2(f2(a3,a1),a1,f5(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[10437,10339,2,27])).
% 111.97/111.91  cnf(10521,plain,
% 111.97/111.91     (E(f5(x105211,a3),x105211)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(10522,plain,
% 111.97/111.91     (~E(f2(a6,a1),f2(a6,a7))),
% 111.97/111.91     inference(scs_inference,[],[7080,9691,10409,10437,127,7970,10339,2,27,26,10,13])).
% 111.97/111.91  cnf(10527,plain,
% 111.97/111.91     (E(f5(x105271,a3),x105271)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(10530,plain,
% 111.97/111.91     (~E(f5(a7,a3),f5(a6,a3))),
% 111.97/111.91     inference(scs_inference,[],[128,8685,8787,7652,7080,9691,10409,10437,127,10521,10527,43,7970,10339,7349,2,27,26,10,13,14,11,9,3])).
% 111.97/111.91  cnf(10559,plain,
% 111.97/111.91     (~P2(a6,a7,a1)),
% 111.97/111.91     inference(scs_inference,[],[10393,27])).
% 111.97/111.91  cnf(10570,plain,
% 111.97/111.91     (P1(x105701,a1,x105701)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10571,plain,
% 111.97/111.91     (P1(f5(a6,a3),a1,f5(a6,a6))),
% 111.97/111.91     inference(scs_inference,[],[15,10570,7008,9691,10127,10393,17,127,43,10348,27,26,10,13,14,11,9])).
% 111.97/111.91  cnf(10595,plain,
% 111.97/111.91     (P2(f2(a3,a1),f2(a1,a3),a3)),
% 111.97/111.91     inference(scs_inference,[],[10500,27])).
% 111.97/111.91  cnf(10640,plain,
% 111.97/111.91     (E(f5(x106401,a3),x106401)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(10642,plain,
% 111.97/111.91     (E(f5(x106421,a3),x106421)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(10644,plain,
% 111.97/111.91     (P2(x106441,x106442,f5(x106442,x106441))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(10646,plain,
% 111.97/111.91     (E(f5(x106461,a3),x106461)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(10648,plain,
% 111.97/111.91     (E(f5(x106481,a3),x106481)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(10655,plain,
% 111.97/111.91     (P1(a1,x106551,x106551)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(10656,plain,
% 111.97/111.91     (P1(a1,x106561,x106561)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(10658,plain,
% 111.97/111.91     (P2(f4(a1),f2(a3,a1),f2(a3,a3))),
% 111.97/111.91     inference(scs_inference,[],[10559,128,55,8889,10248,7652,9776,8250,8772,8011,10155,17,10656,10655,127,10640,10642,10646,10648,87,5148,27,26,10,13,14,12,11,9,29,33,36])).
% 111.97/111.91  cnf(10659,plain,
% 111.97/111.91     (P1(a1,x106591,x106591)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(10668,plain,
% 111.97/111.91     (P1(x106681,a1,x106681)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10672,plain,
% 111.97/111.91     (~P2(f2(a3,a1),f4(a3),f4(a7))),
% 111.97/111.91     inference(scs_inference,[],[15,10668,7182,7834,10559,128,10644,55,158,8889,10248,7652,9776,8250,8772,8011,10155,17,10656,10659,10655,127,10640,10642,10646,10648,87,7407,1311,6651,5148,10312,9853,27,26,10,13,14,12,11,9,29,33,36,35,37,34])).
% 111.97/111.91  cnf(10688,plain,
% 111.97/111.91     (P2(f2(x106881,a3),x106882,x106882)),
% 111.97/111.91     inference(scs_inference,[],[9218,10490,10658,17,127,43,1445,10466,27,26,10,13,14])).
% 111.97/111.91  cnf(10691,plain,
% 111.97/111.91     (P1(x106911,a1,x106911)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10695,plain,
% 111.97/111.91     (P1(x106951,a1,x106951)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10697,plain,
% 111.97/111.91     (P2(x106971,x106971,f2(x106971,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,10691,10695,8051,9218,10169,10490,10658,17,127,43,1266,1445,10466,27,26,10,13,14,28,33,36])).
% 111.97/111.91  cnf(10702,plain,
% 111.97/111.91     (P1(x107021,a1,x107021)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10705,plain,
% 111.97/111.91     (P2(f4(a1),a3,f2(a3,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,10691,10695,10702,38,802,6811,8051,9218,10342,10169,10490,10658,17,127,43,1266,7250,1445,10466,7461,27,26,10,13,14,28,33,36,35,37])).
% 111.97/111.91  cnf(10737,plain,
% 111.97/111.91     (E(f5(x107371,x107371),f2(x107371,a1))),
% 111.97/111.91     inference(scs_inference,[],[719,128,928,7698,10066,9432,10697,43,6841,10348,10422,8651,27,26,10,13,14,3,29])).
% 111.97/111.91  cnf(10739,plain,
% 111.97/111.91     (P2(x107391,x107392,f5(x107392,x107391))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(10742,plain,
% 111.97/111.91     (P2(x107421,x107422,f5(x107422,x107421))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(10747,plain,
% 111.97/111.91     (P1(x107471,a1,x107471)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10748,plain,
% 111.97/111.91     (P2(x107481,x107482,f5(x107482,x107481))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(10751,plain,
% 111.97/111.91     (P1(x107511,a1,x107511)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10754,plain,
% 111.97/111.91     (P1(x107541,a1,x107541)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10762,plain,
% 111.97/111.91     (P1(x107621,a1,x107621)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10768,plain,
% 111.97/111.91     (E(f2(x107681,a1),f5(x107681,x107681))),
% 111.97/111.91     inference(scs_inference,[],[15,10747,10751,10754,10762,7733,9209,719,59,128,10739,10742,10748,8499,3746,10232,928,9218,7698,9188,10437,10066,9432,8783,10697,17,87,43,21,7578,6841,756,10348,10422,7889,9307,8651,27,26,10,13,14,3,29,33,36,31,35,37,34,32,2])).
% 111.97/111.91  cnf(10783,plain,
% 111.97/111.91     (E(f5(x107831,a3),x107831)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(10787,plain,
% 111.97/111.91     (P2(x107871,x107872,f5(x107872,x107871))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(10796,plain,
% 111.97/111.91     (P2(x107961,x107962,f5(x107962,x107961))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(10800,plain,
% 111.97/111.91     (P2(x108001,x108002,f5(x108002,x108001))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(10802,plain,
% 111.97/111.91     (P2(f2(a1,a1),f5(a1,a3),f5(a1,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,9545,128,10787,10796,508,10232,9387,7105,9691,10393,8410,10179,10705,127,10783,43,2119,1263,7240,5566,8613,10522,10475,2,27,26,10,13,14,11,9,29,36,31,35])).
% 111.97/111.91  cnf(10807,plain,
% 111.97/111.91     (~P1(a1,a1,a7)),
% 111.97/111.91     inference(scs_inference,[],[15,9545,7074,128,10787,10796,10800,508,10232,9387,7105,10342,9691,10393,8410,10179,10705,127,10783,43,2119,1263,7240,5566,8613,10522,10035,10475,2,27,26,10,13,14,11,9,29,36,31,35,37])).
% 111.97/111.91  cnf(10829,plain,
% 111.97/111.91     (P1(a1,x108291,x108291)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(10831,plain,
% 111.97/111.91     (E(x108311,f5(x108311,a3))),
% 111.97/111.91     inference(rename_variables,[],[43])).
% 111.97/111.91  cnf(10833,plain,
% 111.97/111.91     (E(f5(x108331,a3),x108331)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(10835,plain,
% 111.97/111.91     (E(f5(x108351,a3),x108351)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(10839,plain,
% 111.97/111.91     (P2(x108391,f2(x108391,a3),x108391)),
% 111.97/111.91     inference(rename_variables,[],[55])).
% 111.97/111.91  cnf(10857,plain,
% 111.97/111.91     (P1(x108571,a1,x108571)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10858,plain,
% 111.97/111.91     (P2(x108581,x108581,x108581)),
% 111.97/111.91     inference(rename_variables,[],[10232])).
% 111.97/111.91  cnf(10865,plain,
% 111.97/111.91     (P2(f5(a3,a3),f5(a3,a1),f5(a1,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,10857,9381,8138,59,55,10839,7045,10232,10858,9218,1362,9495,8250,8410,10705,10113,10347,7423,7127,17,10829,127,10833,10835,43,10831,23,1266,7240,7091,889,1599,7472,10737,27,26,10,13,14,11,9,29,36,35,37,34,30,12])).
% 111.97/111.91  cnf(10874,plain,
% 111.97/111.91     (P2(f5(a1,a3),f2(a1,a1),f5(a1,a3))),
% 111.97/111.91     inference(scs_inference,[],[10802,27])).
% 111.97/111.91  cnf(10919,plain,
% 111.97/111.91     (E(f5(x109191,a3),x109191)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(10925,plain,
% 111.97/111.91     (P1(x109251,a1,x109251)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(10930,plain,
% 111.97/111.91     (P2(x109301,x109301,x109301)),
% 111.97/111.91     inference(rename_variables,[],[10232])).
% 111.97/111.91  cnf(10939,plain,
% 111.97/111.91     (P2(a1,f5(a3,a1),f5(a3,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,10925,38,128,136,10232,10930,5593,10802,10672,10807,10200,10195,5521,127,10919,5731,8559,6641,10422,10688,27,26,10,13,14,28,36,31,35,37])).
% 111.97/111.91  cnf(10959,plain,
% 111.97/111.91     (E(f5(x109591,a3),x109591)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(10964,plain,
% 111.97/111.91     (E(x109641,f5(x109641,a3))),
% 111.97/111.91     inference(rename_variables,[],[43])).
% 111.97/111.91  cnf(10967,plain,
% 111.97/111.91     (~P1(f2(a1,a1),f5(a7,a1),f2(a1,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,128,8889,7215,9766,10802,10865,17,127,10959,43,10964,2119,8488,9944,10530,9925,10768,8912,2,27,26,10,13,14,11,9,3,36])).
% 111.97/111.91  cnf(10998,plain,
% 111.97/111.91     (~P2(a7,a1,f4(a7))),
% 111.97/111.91     inference(scs_inference,[],[5521,27])).
% 111.97/111.91  cnf(11007,plain,
% 111.97/111.91     (E(f5(x110071,a3),x110071)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(11011,plain,
% 111.97/111.91     (P2(f2(x110111,a1),f2(x110111,a3),x110111)),
% 111.97/111.91     inference(rename_variables,[],[1271])).
% 111.97/111.91  cnf(11014,plain,
% 111.97/111.91     (P1(a1,x110141,x110141)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(11027,plain,
% 111.97/111.91     (P2(f2(a1,x110271),f2(x110271,a1),f2(x110271,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,9545,8138,128,176,1271,11011,10232,633,8889,10807,5521,10967,17,11014,127,11007,87,43,1266,6935,8185,8893,9855,8613,9251,7691,27,26,10,13,14,11,9,29,33,36,31,35])).
% 111.97/111.91  cnf(11098,plain,
% 111.97/111.91     (P1(a1,x110981,x110981)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(11102,plain,
% 111.97/111.91     (E(f5(x111021,a3),x111021)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(11109,plain,
% 111.97/111.91     (P2(f2(a1,a1),f2(a3,a1),a1)),
% 111.97/111.91     inference(scs_inference,[],[15,10998,128,10232,10802,10127,9196,9301,10516,17,11098,127,11102,87,43,4361,7732,27,26,10,13,14,12,33,36])).
% 111.97/111.91  cnf(11111,plain,
% 111.97/111.91     (P1(x111111,a1,x111111)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(11112,plain,
% 111.97/111.91     (P1(a1,x111121,x111121)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(11119,plain,
% 111.97/111.91     (~P2(a1,a1,f5(a7,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,11111,6860,10998,128,802,10232,10802,10127,9196,9301,10516,17,11098,11112,127,11102,87,43,16,758,4361,9578,6978,7732,27,26,10,13,14,12,33,36,35,37])).
% 111.97/111.91  cnf(11150,plain,
% 111.97/111.91     (P1(x111501,a1,x111501)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(11157,plain,
% 111.97/111.91     (~P2(a1,a1,a7)),
% 111.97/111.91     inference(scs_inference,[],[15,11150,7733,719,128,1454,8975,11027,11119,43,758,10348,4209,7078,10571,6978,7347,27,26,10,13,14,28,33,36])).
% 111.97/111.91  cnf(11160,plain,
% 111.97/111.91     (P1(x111601,a1,x111601)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(11167,plain,
% 111.97/111.91     (~P2(f2(a1,a1),f2(x111671,a3),f2(x111671,a3))),
% 111.97/111.91     inference(scs_inference,[],[15,11150,11160,38,7733,719,128,1454,10232,10697,8975,11027,11119,43,758,7250,4440,10348,4209,7078,10571,6978,7347,8803,27,26,10,13,14,28,33,36,35,37])).
% 111.97/111.91  cnf(11188,plain,
% 111.97/111.91     (E(f5(x111881,a3),x111881)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(11191,plain,
% 111.97/111.91     (~E(f5(a1,a1),f5(a7,a3))),
% 111.97/111.91     inference(scs_inference,[],[10998,128,11119,5444,9749,10192,127,11188,27,26,10,13,14])).
% 111.97/111.91  cnf(11228,plain,
% 111.97/111.91     (P2(f5(a3,a1),a1,f5(a3,a1))),
% 111.97/111.91     inference(scs_inference,[],[10939,27])).
% 111.97/111.91  cnf(11237,plain,
% 111.97/111.91     (E(f5(x112371,a3),x112371)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(11241,plain,
% 111.97/111.91     (P2(x112411,x112411,x112411)),
% 111.97/111.91     inference(rename_variables,[],[10232])).
% 111.97/111.91  cnf(11244,plain,
% 111.97/111.91     (P2(x112441,x112442,f5(x112442,x112441))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(11245,plain,
% 111.97/111.91     (P1(x112451,a1,x112451)),
% 111.97/111.91     inference(rename_variables,[],[15])).
% 111.97/111.91  cnf(11252,plain,
% 111.97/111.91     (~P1(a3,a7,a3)),
% 111.97/111.91     inference(scs_inference,[],[15,11245,8799,59,128,11244,10232,11241,633,10865,10967,9062,10939,7615,17,127,11237,43,493,7416,7414,7402,27,26,10,13,14,9,29,36,35,31])).
% 111.97/111.91  cnf(11277,plain,
% 111.97/111.91     (~P2(f2(x112771,a3),f2(a1,a1),f2(x112771,a3))),
% 111.97/111.91     inference(scs_inference,[],[11167,27])).
% 111.97/111.91  cnf(11282,plain,
% 111.97/111.91     (E(f5(x112821,a3),x112821)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(11290,plain,
% 111.97/111.91     (P2(x112901,x112902,f5(x112902,x112901))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(11291,plain,
% 111.97/111.91     (P2(x112911,x112911,x112911)),
% 111.97/111.91     inference(rename_variables,[],[10232])).
% 111.97/111.91  cnf(11295,plain,
% 111.97/111.91     (P1(a1,x112951,x112951)),
% 111.97/111.91     inference(rename_variables,[],[17])).
% 111.97/111.91  cnf(11299,plain,
% 111.97/111.91     (P2(x112991,x112992,f5(x112992,x112991))),
% 111.97/111.91     inference(rename_variables,[],[128])).
% 111.97/111.91  cnf(11300,plain,
% 111.97/111.91     (P2(x113001,x113001,x113001)),
% 111.97/111.91     inference(rename_variables,[],[10232])).
% 111.97/111.91  cnf(11305,plain,
% 111.97/111.91     (P2(x113051,x113051,x113051)),
% 111.97/111.91     inference(rename_variables,[],[10232])).
% 111.97/111.91  cnf(11316,plain,
% 111.97/111.91     (P2(f5(a1,a3),f5(a3,a1),f5(a3,a1))),
% 111.97/111.91     inference(scs_inference,[],[15,7074,9381,9635,9094,59,128,11290,11299,158,10232,11291,11300,11305,8499,10939,11167,6152,8542,17,11295,127,11282,43,7240,5731,6627,7407,8559,4567,6519,8613,3239,8552,9853,10080,27,26,10,14,11,36,33,35,31,30,34,37,13,12])).
% 111.97/111.91  cnf(11323,plain,
% 111.97/111.91     (E(f5(x113231,a3),x113231)),
% 111.97/111.91     inference(rename_variables,[],[127])).
% 111.97/111.91  cnf(11325,plain,
% 111.97/111.92     (P2(x113251,x113252,f5(x113252,x113251))),
% 111.97/111.92     inference(rename_variables,[],[128])).
% 111.97/111.92  cnf(11327,plain,
% 111.97/111.92     (P2(x113271,x113272,f5(x113272,x113271))),
% 111.97/111.92     inference(rename_variables,[],[128])).
% 111.97/111.92  cnf(11329,plain,
% 111.97/111.92     (P1(x113291,a1,x113291)),
% 111.97/111.92     inference(rename_variables,[],[15])).
% 111.97/111.92  cnf(11338,plain,
% 111.97/111.92     (P2(x113381,x113382,f5(x113382,x113381))),
% 111.97/111.92     inference(rename_variables,[],[128])).
% 111.97/111.92  cnf(11339,plain,
% 111.97/111.92     (P1(x113391,a1,x113391)),
% 111.97/111.92     inference(rename_variables,[],[15])).
% 111.97/111.92  cnf(11347,plain,
% 111.97/111.92     (P2(x113471,x113471,x113471)),
% 111.97/111.92     inference(rename_variables,[],[10232])).
% 111.97/111.92  cnf(11348,plain,
% 111.97/111.92     (P1(x113481,a1,x113481)),
% 111.97/111.92     inference(rename_variables,[],[15])).
% 111.97/111.92  cnf(11365,plain,
% 111.97/111.92     (~E(f5(a7,a3),f5(a1,a1))),
% 111.97/111.92     inference(scs_inference,[],[15,11329,11339,11348,9545,2870,10256,11277,59,128,11325,11327,11338,1454,802,10232,11347,508,7748,11157,11316,9357,10496,11109,17,127,11323,87,1266,268,8559,3648,756,7364,10688,8764,10080,11191,9096,27,26,10,13,14,11,12,36,33,35,31,37,34,32,2])).
% 111.97/111.92  cnf(11371,plain,
% 111.97/111.92     (~P2(f2(a6,a7),f4(a1),f4(a1))),
% 111.97/111.92     inference(scs_inference,[],[8542,27])).
% 111.97/111.92  cnf(11375,plain,
% 111.97/111.92     (~E(f5(a3,a1),f5(a7,a3))),
% 111.97/111.92     inference(scs_inference,[],[11316,9357,8542,10473,27,26,13])).
% 111.97/111.92  cnf(11377,plain,
% 111.97/111.92     (E(f5(x113771,a3),x113771)),
% 111.97/111.92     inference(rename_variables,[],[127])).
% 111.97/111.92  cnf(11381,plain,
% 111.97/111.92     (P1(x113811,a1,x113811)),
% 111.97/111.92     inference(rename_variables,[],[15])).
% 111.97/111.92  cnf(11387,plain,
% 111.97/111.92     (P2(f2(a1,x113871),f2(a1,x113871),x113871)),
% 111.97/111.92     inference(scs_inference,[],[15,11381,128,10232,5320,7960,10874,11316,9357,8542,127,11377,5962,693,4355,7414,10473,27,26,13,14,11,28,33,36])).
% 111.97/111.92  cnf(11389,plain,
% 111.97/111.92     (P1(x113891,a1,x113891)),
% 111.97/111.92     inference(rename_variables,[],[15])).
% 111.97/111.92  cnf(11390,plain,
% 111.97/111.92     (P2(x113901,x113901,x113901)),
% 111.97/111.92     inference(rename_variables,[],[10232])).
% 111.97/111.92  cnf(11393,plain,
% 111.97/111.92     (P1(a1,x113931,x113931)),
% 111.97/111.92     inference(rename_variables,[],[17])).
% 111.97/111.92  cnf(11404,plain,
% 111.97/111.92     (P2(f5(a1,a3),f4(a1),f4(a3))),
% 111.97/111.92     inference(scs_inference,[],[15,11381,11389,38,7074,59,128,158,7498,136,10232,11390,5320,7960,10127,10939,10874,11316,9357,8542,9930,17,11393,127,11377,5962,7407,693,4355,7414,7582,10473,27,26,13,14,11,28,33,36,35,30,37,34])).
% 111.97/111.92  cnf(11419,plain,
% 111.97/111.92     (E(f5(x114191,a3),x114191)),
% 111.97/111.92     inference(rename_variables,[],[127])).
% 111.97/111.92  cnf(11427,plain,
% 111.97/111.92     (P1(a1,x114271,x114271)),
% 111.97/111.92     inference(rename_variables,[],[17])).
% 111.97/111.92  cnf(11432,plain,
% 111.97/111.92     (P1(x114321,a1,x114321)),
% 111.97/111.92     inference(rename_variables,[],[15])).
% 111.97/111.92  cnf(11436,plain,
% 111.97/111.92     (P1(x114361,a1,x114361)),
% 111.97/111.92     inference(rename_variables,[],[15])).
% 111.97/111.92  cnf(11442,plain,
% 111.97/111.92     (P1(a1,x114421,x114421)),
% 111.97/111.92     inference(rename_variables,[],[17])).
% 111.97/111.92  cnf(11444,plain,
% 111.97/111.92     (P2(f5(a3,a3),f4(a3),f5(a3,a1))),
% 111.97/111.92     inference(scs_inference,[],[15,11432,11436,10464,7403,11371,128,158,136,10232,8051,7748,8889,6131,9181,8817,11228,11404,17,11427,11442,127,11419,87,21,1263,5731,6627,5574,6841,8941,11365,27,26,10,13,14,11,3,33,36,35,30,37])).
% 111.97/111.92  cnf(11518,plain,
% 111.97/111.92     (P1(x115181,f2(a1,a1),x115181)),
% 111.97/111.92     inference(rename_variables,[],[7407])).
% 111.97/111.92  cnf(11521,plain,
% 111.97/111.92     (P2(x115211,x115212,f5(x115212,x115211))),
% 111.97/111.92     inference(rename_variables,[],[128])).
% 111.97/111.92  cnf(11522,plain,
% 111.97/111.92     (P1(x115221,a1,x115221)),
% 111.97/111.92     inference(rename_variables,[],[15])).
% 111.97/111.92  cnf(11527,plain,
% 111.97/111.92     (P1(x115271,f2(a1,a1),x115271)),
% 111.97/111.92     inference(rename_variables,[],[7407])).
% 111.97/111.92  cnf(11528,plain,
% 111.97/111.92     (P1(x115281,a1,x115281)),
% 111.97/111.92     inference(rename_variables,[],[15])).
% 111.97/111.92  cnf(11533,plain,
% 111.97/111.92     (P2(f5(x115331,a3),f4(x115331),a1)),
% 111.97/111.92     inference(rename_variables,[],[158])).
% 111.97/111.92  cnf(11541,plain,
% 111.97/111.92     (P1(x115411,a1,x115411)),
% 111.97/111.92     inference(rename_variables,[],[15])).
% 111.97/111.92  cnf(11550,plain,
% 111.97/111.92     (P2(a3,f4(a3),f5(a3,a1))),
% 111.97/111.92     inference(scs_inference,[],[15,11522,11528,11541,8138,59,128,11521,158,11533,1454,10232,8889,639,10595,11387,11444,7852,17,127,43,5962,7407,11518,11527,8559,7250,2689,3239,6799,9853,9261,11375,10340,9006,27,26,10,13,14,11,33,36,35,30,34,37,32,2,12])).
% 111.97/111.92  cnf(11592,plain,
% 111.97/111.92     ($false),
% 111.97/111.92     inference(scs_inference,[],[59,128,10496,11550,127,87,7474,7833,7472,11252,9325,27,26,10,13,14,11]),
% 111.97/111.92     ['proof']).
% 112.18/111.93  % SZS output end Proof
% 112.18/111.93  % Total time :111.130000s
%------------------------------------------------------------------------------