TSTP Solution File: RNG005-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : RNG005-1 : 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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 13:47:38 EDT 2023
% Result : Unsatisfiable 2.63s 2.80s
% Output : CNFRefutation 2.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG005-1 : 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
% 0.16/0.34 % Computer : n001.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.35 % DateTime : Sun Aug 27 02:06:46 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 2.63/2.79 %-------------------------------------------
% 2.63/2.79 % File :CSE---1.6
% 2.63/2.79 % Problem :theBenchmark
% 2.63/2.79 % Transform :cnf
% 2.63/2.79 % Format :tptp:raw
% 2.63/2.79 % Command :java -jar mcs_scs.jar %d %s
% 2.63/2.79
% 2.63/2.79 % Result :Theorem 2.170000s
% 2.63/2.79 % Output :CNFRefutation 2.170000s
% 2.63/2.79 %-------------------------------------------
% 2.63/2.79 %--------------------------------------------------------------------------
% 2.63/2.79 % File : RNG005-1 : TPTP v8.1.2. Released v1.0.0.
% 2.63/2.80 % Domain : Ring Theory
% 2.63/2.80 % Problem : (-X*Y) + (X*Y) = additive_identity
% 2.63/2.80 % Version : [Wos65] axioms.
% 2.63/2.80 % English :
% 2.63/2.80
% 2.63/2.80 % Refs : [Wos65] Wos (1965), Unpublished Note
% 2.63/2.80 % : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 2.63/2.80 % Source : [SPRFN]
% 2.63/2.80 % Names : Problem 23 [Wos65]
% 2.63/2.80
% 2.63/2.80 % Status : Unsatisfiable
% 2.63/2.80 % Rating : 0.00 v7.4.0, 0.11 v7.3.0, 0.00 v6.0.0, 0.11 v5.5.0, 0.19 v5.4.0, 0.13 v5.3.0, 0.25 v5.2.0, 0.12 v5.1.0, 0.00 v5.0.0, 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, 0.00 v2.0.0
% 2.63/2.80 % Syntax : Number of clauses : 20 ( 9 unt; 0 nHn; 14 RR)
% 2.63/2.80 % Number of literals : 53 ( 2 equ; 34 neg)
% 2.63/2.80 % Maximal clause size : 5 ( 2 avg)
% 2.63/2.80 % Maximal term depth : 2 ( 1 avg)
% 2.63/2.80 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty)
% 2.63/2.80 % Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% 2.63/2.80 % Number of variables : 71 ( 0 sgn)
% 2.63/2.80 % SPC : CNF_UNS_RFO_SEQ_HRN
% 2.63/2.80
% 2.63/2.80 % Comments : These are the same axioms as in [MOW76].
% 2.63/2.80 %--------------------------------------------------------------------------
% 2.63/2.80 %----Include ring theory axioms
% 2.63/2.80 include('Axioms/RNG001-0.ax').
% 2.63/2.80 %--------------------------------------------------------------------------
% 2.63/2.80 cnf(a_times_b,hypothesis,
% 2.63/2.80 product(a,b,d) ).
% 2.63/2.80
% 2.63/2.80 cnf(a_inverse_times_b,hypothesis,
% 2.63/2.80 product(additive_inverse(a),b,c) ).
% 2.63/2.80
% 2.63/2.80 cnf(prove_sum_is_additive_id,negated_conjecture,
% 2.63/2.80 ~ sum(c,d,additive_identity) ).
% 2.63/2.80
% 2.63/2.80 %--------------------------------------------------------------------------
% 2.63/2.80 %-------------------------------------------
% 2.63/2.80 % Proof found
% 2.63/2.80 % SZS status Theorem for theBenchmark
% 2.63/2.80 % SZS output start Proof
% 2.63/2.80 %ClaNum:34(EqnAxiom:14)
% 2.63/2.80 %VarNum:146(SingletonVarNum:71)
% 2.63/2.80 %MaxLitNum:5
% 2.63/2.80 %MaxfuncDepth:1
% 2.63/2.80 %SharedTerms:9
% 2.63/2.80 %goalClause: 23
% 2.63/2.80 %singleGoalClaCount:1
% 2.63/2.80 [15]P1(a1,a2,a6)
% 2.63/2.80 [23]~P2(a7,a6,a3)
% 2.63/2.80 [18]P1(f5(a1),a2,a7)
% 2.63/2.80 [16]P2(x161,a3,x161)
% 2.63/2.80 [17]P2(a3,x171,x171)
% 2.63/2.80 [19]P2(x191,f5(x191),a3)
% 2.63/2.80 [20]P2(f5(x201),x201,a3)
% 2.63/2.80 [21]P2(x211,x212,f4(x211,x212))
% 2.63/2.80 [22]P1(x221,x222,f8(x221,x222))
% 2.63/2.80 [24]~P2(x242,x241,x243)+P2(x241,x242,x243)
% 2.63/2.80 [25]~P2(x253,x254,x251)+E(x251,x252)+~P2(x253,x254,x252)
% 2.63/2.80 [26]~P1(x263,x264,x261)+E(x261,x262)+~P1(x263,x264,x262)
% 2.63/2.80 [27]~P2(x276,x274,x271)+P2(x271,x272,x273)+~P2(x274,x272,x275)+~P2(x276,x275,x273)
% 2.63/2.80 [28]~P2(x281,x286,x284)+P2(x281,x282,x283)+~P2(x284,x285,x283)+~P2(x286,x285,x282)
% 2.63/2.80 [29]~P1(x296,x294,x291)+P1(x291,x292,x293)+~P1(x294,x292,x295)+~P1(x296,x295,x293)
% 2.63/2.80 [30]~P1(x301,x306,x304)+P1(x301,x302,x303)+~P1(x304,x305,x303)+~P1(x306,x305,x302)
% 2.63/2.80 [31]~P1(x317,x315,x312)+~P1(x317,x314,x311)+P2(x311,x312,x313)+~P2(x314,x315,x316)+~P1(x317,x316,x313)
% 2.63/2.80 [32]~P1(x325,x327,x322)+~P1(x324,x327,x321)+P2(x321,x322,x323)+~P2(x324,x325,x326)+~P1(x326,x327,x323)
% 2.63/2.80 [33]~P1(x337,x332,x335)+~P1(x336,x332,x334)+P1(x331,x332,x333)+~P2(x334,x335,x333)+~P2(x336,x337,x331)
% 2.63/2.80 [34]~P1(x341,x347,x345)+~P1(x341,x346,x344)+P1(x341,x342,x343)+~P2(x344,x345,x343)+~P2(x346,x347,x342)
% 2.63/2.80 %EqnAxiom
% 2.63/2.80 [1]E(x11,x11)
% 2.63/2.80 [2]E(x22,x21)+~E(x21,x22)
% 2.63/2.80 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.63/2.80 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 2.63/2.80 [5]~E(x51,x52)+E(f8(x51,x53),f8(x52,x53))
% 2.63/2.80 [6]~E(x61,x62)+E(f8(x63,x61),f8(x63,x62))
% 2.63/2.80 [7]~E(x71,x72)+E(f4(x71,x73),f4(x72,x73))
% 2.63/2.80 [8]~E(x81,x82)+E(f4(x83,x81),f4(x83,x82))
% 2.63/2.80 [9]P1(x92,x93,x94)+~E(x91,x92)+~P1(x91,x93,x94)
% 2.63/2.80 [10]P1(x103,x102,x104)+~E(x101,x102)+~P1(x103,x101,x104)
% 2.63/2.80 [11]P1(x113,x114,x112)+~E(x111,x112)+~P1(x113,x114,x111)
% 2.63/2.80 [12]P2(x122,x123,x124)+~E(x121,x122)+~P2(x121,x123,x124)
% 2.63/2.80 [13]P2(x133,x132,x134)+~E(x131,x132)+~P2(x133,x131,x134)
% 2.63/2.80 [14]P2(x143,x144,x142)+~E(x141,x142)+~P2(x143,x144,x141)
% 2.63/2.80
% 2.63/2.80 %-------------------------------------------
% 2.63/2.81 cnf(35,plain,
% 2.63/2.81 (~P2(a6,a7,a3)),
% 2.63/2.81 inference(scs_inference,[],[23,24])).
% 2.63/2.81 cnf(36,plain,
% 2.63/2.81 (~E(f4(a7,a6),a3)),
% 2.63/2.81 inference(scs_inference,[],[23,21,24,14])).
% 2.63/2.81 cnf(37,plain,
% 2.63/2.81 (P2(x371,x372,f4(x371,x372))),
% 2.63/2.81 inference(rename_variables,[],[21])).
% 2.63/2.81 cnf(38,plain,
% 2.63/2.81 (~E(f5(a7),a6)),
% 2.63/2.81 inference(scs_inference,[],[23,21,19,24,14,13])).
% 2.63/2.81 cnf(39,plain,
% 2.63/2.81 (P2(x391,f5(x391),a3)),
% 2.63/2.81 inference(rename_variables,[],[19])).
% 2.63/2.81 cnf(40,plain,
% 2.63/2.81 (~E(f5(a6),a7)),
% 2.63/2.81 inference(scs_inference,[],[23,21,19,20,24,14,13,12])).
% 2.63/2.81 cnf(42,plain,
% 2.63/2.81 (E(a6,f8(a1,a2))),
% 2.63/2.81 inference(scs_inference,[],[23,15,21,22,19,20,24,14,13,12,26])).
% 2.63/2.81 cnf(43,plain,
% 2.63/2.81 (P1(x431,x432,f8(x431,x432))),
% 2.63/2.81 inference(rename_variables,[],[22])).
% 2.63/2.81 cnf(45,plain,
% 2.63/2.81 (E(x451,f4(x451,a3))),
% 2.63/2.81 inference(scs_inference,[],[23,16,15,21,37,22,19,20,24,14,13,12,26,25])).
% 2.63/2.81 cnf(46,plain,
% 2.63/2.81 (P2(x461,x462,f4(x461,x462))),
% 2.63/2.81 inference(rename_variables,[],[21])).
% 2.63/2.81 cnf(48,plain,
% 2.63/2.81 (P2(x481,f4(a3,a3),x481)),
% 2.63/2.81 inference(scs_inference,[],[23,16,15,21,37,46,22,19,20,24,14,13,12,26,25,28])).
% 2.63/2.81 cnf(49,plain,
% 2.63/2.81 (P2(x491,x492,f4(x491,x492))),
% 2.63/2.81 inference(rename_variables,[],[21])).
% 2.63/2.81 cnf(51,plain,
% 2.63/2.81 (~P2(a3,a6,f5(a7))),
% 2.63/2.81 inference(scs_inference,[],[23,16,15,21,37,46,22,19,39,20,24,14,13,12,26,25,28,27])).
% 2.63/2.81 cnf(53,plain,
% 2.63/2.81 (P2(x531,a3,x531)),
% 2.63/2.81 inference(rename_variables,[],[16])).
% 2.63/2.81 cnf(55,plain,
% 2.63/2.81 (P1(a1,a2,f4(a6,f8(a1,a3)))),
% 2.63/2.81 inference(scs_inference,[],[23,16,53,15,21,37,46,49,22,43,19,39,20,24,14,13,12,26,25,28,27,34])).
% 2.63/2.81 cnf(56,plain,
% 2.63/2.81 (P2(x561,x562,f4(x561,x562))),
% 2.63/2.81 inference(rename_variables,[],[21])).
% 2.63/2.81 cnf(57,plain,
% 2.63/2.81 (P2(x571,a3,x571)),
% 2.63/2.81 inference(rename_variables,[],[16])).
% 2.63/2.81 cnf(58,plain,
% 2.63/2.81 (P1(x581,x582,f8(x581,x582))),
% 2.63/2.81 inference(rename_variables,[],[22])).
% 2.63/2.81 cnf(60,plain,
% 2.63/2.81 (P1(a1,a2,f4(a6,f8(a3,a2)))),
% 2.63/2.81 inference(scs_inference,[],[23,16,53,57,15,21,37,46,49,56,22,43,58,19,39,20,24,14,13,12,26,25,28,27,34,33])).
% 2.63/2.81 cnf(61,plain,
% 2.63/2.81 (P2(x611,x612,f4(x611,x612))),
% 2.63/2.81 inference(rename_variables,[],[21])).
% 2.63/2.81 cnf(63,plain,
% 2.63/2.81 (P1(x631,x632,f8(x631,x632))),
% 2.63/2.81 inference(rename_variables,[],[22])).
% 2.63/2.81 cnf(65,plain,
% 2.63/2.81 (P2(a6,a6,f8(f4(a1,a1),a2))),
% 2.63/2.81 inference(scs_inference,[],[23,16,53,57,15,21,37,46,49,56,61,22,43,58,63,19,39,20,24,14,13,12,26,25,28,27,34,33,32])).
% 2.63/2.81 cnf(66,plain,
% 2.63/2.81 (P1(x661,x662,f8(x661,x662))),
% 2.63/2.81 inference(rename_variables,[],[22])).
% 2.63/2.81 cnf(67,plain,
% 2.63/2.81 (P2(x671,x672,f4(x671,x672))),
% 2.63/2.81 inference(rename_variables,[],[21])).
% 2.63/2.81 cnf(69,plain,
% 2.63/2.81 (P2(a6,a6,f8(a1,f4(a2,a2)))),
% 2.63/2.81 inference(scs_inference,[],[23,16,53,57,15,21,37,46,49,56,61,67,22,43,58,63,66,19,39,20,24,14,13,12,26,25,28,27,34,33,32,31])).
% 2.63/2.81 cnf(70,plain,
% 2.63/2.81 (P1(x701,x702,f8(x701,x702))),
% 2.63/2.81 inference(rename_variables,[],[22])).
% 2.63/2.81 cnf(73,plain,
% 2.63/2.81 (~E(a3,f4(a7,a6))),
% 2.63/2.81 inference(scs_inference,[],[23,16,53,57,15,21,37,46,49,56,61,67,22,43,58,63,66,19,39,20,24,14,13,12,26,25,28,27,34,33,32,31,2])).
% 2.63/2.81 cnf(74,plain,
% 2.63/2.81 (E(f4(x741,a6),f4(x741,f8(a1,a2)))),
% 2.63/2.81 inference(scs_inference,[],[23,16,53,57,15,21,37,46,49,56,61,67,22,43,58,63,66,19,39,20,24,14,13,12,26,25,28,27,34,33,32,31,2,8])).
% 2.63/2.81 cnf(75,plain,
% 2.63/2.81 (E(f4(a6,x751),f4(f8(a1,a2),x751))),
% 2.63/2.81 inference(scs_inference,[],[23,16,53,57,15,21,37,46,49,56,61,67,22,43,58,63,66,19,39,20,24,14,13,12,26,25,28,27,34,33,32,31,2,8,7])).
% 2.63/2.81 cnf(76,plain,
% 2.63/2.81 (E(f8(x761,a6),f8(x761,f8(a1,a2)))),
% 2.63/2.81 inference(scs_inference,[],[23,16,53,57,15,21,37,46,49,56,61,67,22,43,58,63,66,19,39,20,24,14,13,12,26,25,28,27,34,33,32,31,2,8,7,6])).
% 2.63/2.81 cnf(77,plain,
% 2.63/2.81 (E(f8(a6,x771),f8(f8(a1,a2),x771))),
% 2.63/2.81 inference(scs_inference,[],[23,16,53,57,15,21,37,46,49,56,61,67,22,43,58,63,66,19,39,20,24,14,13,12,26,25,28,27,34,33,32,31,2,8,7,6,5])).
% 2.63/2.81 cnf(78,plain,
% 2.63/2.81 (E(f5(a6),f5(f8(a1,a2)))),
% 2.63/2.81 inference(scs_inference,[],[23,16,53,57,15,21,37,46,49,56,61,67,22,43,58,63,66,19,39,20,24,14,13,12,26,25,28,27,34,33,32,31,2,8,7,6,5,4])).
% 2.63/2.81 cnf(79,plain,
% 2.63/2.81 (~E(f4(a7,f8(a1,a2)),a3)),
% 2.63/2.81 inference(scs_inference,[],[23,16,53,57,15,21,37,46,49,56,61,67,22,43,58,63,66,19,39,20,24,14,13,12,26,25,28,27,34,33,32,31,2,8,7,6,5,4,3])).
% 2.63/2.81 cnf(80,plain,
% 2.63/2.81 (~P1(a2,x801,x802)+P1(a1,x802,f8(a6,x801))),
% 2.63/2.81 inference(scs_inference,[],[23,16,53,57,15,21,37,46,49,56,61,67,22,43,58,63,66,70,19,39,20,24,14,13,12,26,25,28,27,34,33,32,31,2,8,7,6,5,4,3,30])).
% 2.63/2.81 cnf(81,plain,
% 2.63/2.81 (P1(x811,x812,f8(x811,x812))),
% 2.63/2.81 inference(rename_variables,[],[22])).
% 2.63/2.81 cnf(83,plain,
% 2.63/2.81 (~P1(a2,x831,f8(a2,x832))+P1(a6,x832,f8(a6,x831))),
% 2.63/2.81 inference(scs_inference,[],[23,16,53,57,15,21,37,46,49,56,61,67,22,43,58,63,66,70,81,19,39,20,24,14,13,12,26,25,28,27,34,33,32,31,2,8,7,6,5,4,3,30,29])).
% 2.63/2.81 cnf(84,plain,
% 2.63/2.81 (P1(x841,x842,f8(x841,x842))),
% 2.63/2.81 inference(rename_variables,[],[22])).
% 2.63/2.81 cnf(87,plain,
% 2.63/2.81 (~P1(a2,x871,f8(a2,x872))+P1(x873,f8(a1,a2),f8(x873,a6))),
% 2.63/2.81 inference(scs_inference,[],[23,16,53,57,15,18,21,37,46,49,56,61,67,22,43,58,63,66,70,81,84,19,39,20,24,14,13,12,26,25,28,27,34,33,32,31,2,8,7,6,5,4,3,30,29,11,10])).
% 2.63/2.81 cnf(88,plain,
% 2.63/2.81 (~P1(a2,x881,f8(a2,x882))+P1(f8(a1,a2),a6,f8(a6,a6))),
% 2.63/2.81 inference(scs_inference,[],[23,16,53,57,15,18,21,37,46,49,56,61,67,22,43,58,63,66,70,81,84,19,39,20,24,14,13,12,26,25,28,27,34,33,32,31,2,8,7,6,5,4,3,30,29,11,10,9])).
% 2.63/2.81 cnf(90,plain,
% 2.63/2.81 (P1(x901,x902,f8(x901,x902))),
% 2.63/2.81 inference(rename_variables,[],[22])).
% 2.63/2.81 cnf(92,plain,
% 2.63/2.81 (P1(x921,f8(a1,a2),f8(x921,a6))),
% 2.63/2.81 inference(scs_inference,[],[22,90,88,87])).
% 2.63/2.81 cnf(93,plain,
% 2.63/2.81 (P1(x931,x932,f8(x931,x932))),
% 2.63/2.81 inference(rename_variables,[],[22])).
% 2.63/2.81 cnf(95,plain,
% 2.63/2.81 (P2(x951,x952,f4(x952,x951))),
% 2.63/2.81 inference(scs_inference,[],[21,22,90,88,87,24])).
% 2.63/2.81 cnf(97,plain,
% 2.63/2.81 (P1(f5(a1),a2,f4(a7,a3))),
% 2.63/2.81 inference(scs_inference,[],[18,21,22,90,45,88,87,24,11])).
% 2.63/2.81 cnf(98,plain,
% 2.63/2.81 (E(x981,f4(x981,a3))),
% 2.63/2.81 inference(rename_variables,[],[45])).
% 2.63/2.81 cnf(99,plain,
% 2.63/2.81 (P1(f5(a1),f4(a2,a3),a7)),
% 2.63/2.81 inference(scs_inference,[],[18,21,22,90,45,98,88,87,24,11,10])).
% 2.63/2.81 cnf(100,plain,
% 2.63/2.81 (E(x1001,f4(x1001,a3))),
% 2.63/2.81 inference(rename_variables,[],[45])).
% 2.63/2.81 cnf(101,plain,
% 2.63/2.81 (P1(f4(f5(a1),a3),a2,a7)),
% 2.63/2.81 inference(scs_inference,[],[18,21,22,90,45,98,100,88,87,24,11,10,9])).
% 2.63/2.81 cnf(102,plain,
% 2.63/2.81 (E(x1021,f4(x1021,a3))),
% 2.63/2.81 inference(rename_variables,[],[45])).
% 2.63/2.81 cnf(103,plain,
% 2.63/2.81 (E(f8(f5(a1),a2),a7)),
% 2.63/2.81 inference(scs_inference,[],[18,21,22,90,93,45,98,100,88,87,24,11,10,9,26])).
% 2.63/2.81 cnf(104,plain,
% 2.63/2.81 (P1(x1041,x1042,f8(x1041,x1042))),
% 2.63/2.81 inference(rename_variables,[],[22])).
% 2.63/2.81 cnf(106,plain,
% 2.63/2.81 (~P2(a3,a3,f4(a7,a6))),
% 2.63/2.81 inference(scs_inference,[],[17,18,21,22,90,93,45,98,100,73,88,87,24,11,10,9,26,25])).
% 2.63/2.81 cnf(107,plain,
% 2.63/2.81 (P2(a3,x1071,x1071)),
% 2.63/2.81 inference(rename_variables,[],[17])).
% 2.63/2.81 cnf(109,plain,
% 2.63/2.81 (P1(f5(a1),a2,f4(f8(a3,a2),a7))),
% 2.63/2.81 inference(scs_inference,[],[17,107,18,21,22,90,93,104,45,98,100,73,88,87,24,11,10,9,26,25,33])).
% 2.63/2.81 cnf(110,plain,
% 2.63/2.81 (P2(a3,x1101,x1101)),
% 2.63/2.81 inference(rename_variables,[],[17])).
% 2.63/2.81 cnf(111,plain,
% 2.63/2.81 (P1(x1111,x1112,f8(x1111,x1112))),
% 2.63/2.81 inference(rename_variables,[],[22])).
% 2.63/2.81 cnf(112,plain,
% 2.63/2.81 (P2(x1121,x1122,f4(x1121,x1122))),
% 2.63/2.81 inference(rename_variables,[],[21])).
% 2.63/2.81 cnf(114,plain,
% 2.63/2.81 (P2(a7,f8(a3,a2),a7)),
% 2.63/2.81 inference(scs_inference,[],[17,107,18,21,112,22,90,93,104,111,45,98,100,73,88,87,24,11,10,9,26,25,33,32])).
% 2.63/2.81 cnf(115,plain,
% 2.63/2.81 (P1(x1151,x1152,f8(x1151,x1152))),
% 2.63/2.81 inference(rename_variables,[],[22])).
% 2.63/2.82 cnf(116,plain,
% 2.63/2.82 (P2(x1161,x1162,f4(x1161,x1162))),
% 2.63/2.82 inference(rename_variables,[],[21])).
% 2.63/2.82 cnf(118,plain,
% 2.63/2.82 (P2(a7,a7,f8(f5(a1),f4(a2,a2)))),
% 2.63/2.82 inference(scs_inference,[],[17,107,18,21,112,116,22,90,93,104,111,115,45,98,100,73,88,87,24,11,10,9,26,25,33,32,31])).
% 2.63/2.82 cnf(119,plain,
% 2.63/2.82 (P2(x1191,x1192,f4(x1191,x1192))),
% 2.63/2.82 inference(rename_variables,[],[21])).
% 2.63/2.82 cnf(120,plain,
% 2.63/2.82 (P1(x1201,x1202,f8(x1201,x1202))),
% 2.63/2.82 inference(rename_variables,[],[22])).
% 2.63/2.82 cnf(122,plain,
% 2.63/2.82 (~P2(f5(a7),a3,a6)),
% 2.63/2.82 inference(scs_inference,[],[17,107,110,18,21,112,116,22,90,93,104,111,115,16,45,98,100,73,51,88,87,24,11,10,9,26,25,33,32,31,28])).
% 2.63/2.82 cnf(123,plain,
% 2.63/2.82 (P2(a3,x1231,x1231)),
% 2.63/2.82 inference(rename_variables,[],[17])).
% 2.63/2.82 cnf(126,plain,
% 2.63/2.82 (~P2(a3,f4(a7,a6),a3)),
% 2.63/2.82 inference(scs_inference,[],[23,17,107,110,123,18,21,112,116,119,22,90,93,104,111,115,16,45,98,100,73,51,88,87,24,11,10,9,26,25,33,32,31,28,27])).
% 2.63/2.82 cnf(127,plain,
% 2.63/2.82 (P2(a3,x1271,x1271)),
% 2.63/2.82 inference(rename_variables,[],[17])).
% 2.63/2.82 cnf(128,plain,
% 2.63/2.82 (P2(x1281,x1282,f4(x1281,x1282))),
% 2.63/2.82 inference(rename_variables,[],[21])).
% 2.63/2.82 cnf(130,plain,
% 2.63/2.82 (E(f4(x1301,a3),x1301)),
% 2.63/2.82 inference(scs_inference,[],[23,17,107,110,123,18,21,112,116,119,22,90,93,104,111,115,16,45,98,100,102,73,51,88,87,24,11,10,9,26,25,33,32,31,28,27,2])).
% 2.63/2.82 cnf(131,plain,
% 2.63/2.82 (~P2(a7,a6,f4(a3,a3))),
% 2.63/2.82 inference(scs_inference,[],[23,17,107,110,123,18,21,112,116,119,22,90,93,104,111,115,16,45,98,100,102,73,51,88,87,24,11,10,9,26,25,33,32,31,28,27,2,14])).
% 2.63/2.82 cnf(132,plain,
% 2.63/2.82 (E(f8(a6,a6),f8(f8(a1,a2),f8(a1,a2)))),
% 2.63/2.82 inference(scs_inference,[],[23,17,107,110,123,18,21,112,116,119,22,90,93,104,111,115,16,45,98,100,102,77,76,73,51,88,87,24,11,10,9,26,25,33,32,31,28,27,2,14,3])).
% 2.63/2.82 cnf(133,plain,
% 2.63/2.82 (P1(a6,a6,f8(a6,f8(a1,a2)))),
% 2.63/2.82 inference(scs_inference,[],[23,17,107,110,123,18,21,112,116,119,22,90,93,104,111,115,16,45,98,100,102,77,76,73,51,88,87,24,11,10,9,26,25,33,32,31,28,27,2,14,3,83])).
% 2.63/2.82 cnf(135,plain,
% 2.63/2.82 (P1(a1,f8(a2,x1351),f8(a6,x1351))),
% 2.63/2.82 inference(scs_inference,[],[23,17,107,110,123,18,21,112,116,119,22,90,93,104,111,115,120,16,45,98,100,102,77,76,73,51,88,87,24,11,10,9,26,25,33,32,31,28,27,2,14,3,83,80])).
% 2.63/2.82 cnf(136,plain,
% 2.63/2.82 (P1(x1361,x1362,f8(x1361,x1362))),
% 2.63/2.82 inference(rename_variables,[],[22])).
% 2.63/2.82 cnf(145,plain,
% 2.63/2.82 (P1(a1,f4(a2,a2),f8(f4(a1,a1),a2))),
% 2.63/2.82 inference(scs_inference,[],[23,17,107,110,123,127,18,21,112,116,119,128,22,90,93,104,111,115,120,136,16,15,45,98,100,102,77,76,73,65,51,88,87,24,11,10,9,26,25,33,32,31,28,27,2,14,3,83,80,13,12,30,29,34])).
% 2.63/2.82 cnf(148,plain,
% 2.63/2.82 (~P2(f4(a7,a6),a3,a3)),
% 2.63/2.82 inference(scs_inference,[],[126,24])).
% 2.63/2.82 cnf(150,plain,
% 2.63/2.82 (P1(a6,f8(a1,a2),f8(a1,f8(a2,a6)))),
% 2.63/2.82 inference(scs_inference,[],[15,22,92,126,24,29])).
% 2.63/2.82 cnf(151,plain,
% 2.63/2.82 (P1(x1511,x1512,f8(x1511,x1512))),
% 2.63/2.82 inference(rename_variables,[],[22])).
% 2.63/2.82 cnf(152,plain,
% 2.63/2.82 (P1(x1521,f8(a1,a2),f8(x1521,a6))),
% 2.63/2.82 inference(rename_variables,[],[92])).
% 2.63/2.82 cnf(153,plain,
% 2.63/2.82 (~P1(x1531,x1532,x1533)+P1(x1534,x1535,x1533)+~P1(x1531,x1536,x1534)+~P1(x1536,x1535,x1532)),
% 2.63/2.82 inference(rename_variables,[],[29])).
% 2.63/2.82 cnf(154,plain,
% 2.63/2.82 (~P1(a1,a2,f5(a7))),
% 2.63/2.82 inference(scs_inference,[],[15,22,92,38,126,24,29,26])).
% 2.63/2.82 cnf(156,plain,
% 2.63/2.82 (~P2(a3,a7,f5(a6))),
% 2.63/2.82 inference(scs_inference,[],[15,17,22,92,38,40,126,24,29,26,25])).
% 2.63/2.82 cnf(157,plain,
% 2.63/2.82 (P2(a3,x1571,x1571)),
% 2.63/2.82 inference(rename_variables,[],[17])).
% 2.63/2.82 cnf(160,plain,
% 2.63/2.82 (P1(x1601,x1602,f8(x1601,x1602))),
% 2.63/2.82 inference(rename_variables,[],[22])).
% 2.63/2.82 cnf(163,plain,
% 2.63/2.82 (~P2(a6,f8(a3,a2),f5(a7))),
% 2.63/2.82 inference(scs_inference,[],[15,17,22,151,160,16,92,152,38,40,126,24,29,26,25,30,33])).
% 2.63/2.82 cnf(164,plain,
% 2.63/2.82 (P1(x1641,x1642,f8(x1641,x1642))),
% 2.63/2.82 inference(rename_variables,[],[22])).
% 2.63/2.82 cnf(167,plain,
% 2.63/2.82 (~P1(a3,a2,a3)),
% 2.63/2.82 inference(scs_inference,[],[15,35,17,19,22,151,160,16,18,92,152,38,40,126,24,29,26,25,30,33,32])).
% 2.63/2.82 cnf(170,plain,
% 2.63/2.82 (P2(f8(a1,a3),a6,a6)),
% 2.63/2.82 inference(scs_inference,[],[15,35,17,157,19,22,151,160,164,16,18,92,152,38,40,126,24,29,26,25,30,33,32,31])).
% 2.63/2.82 cnf(171,plain,
% 2.63/2.82 (P1(x1711,x1712,f8(x1711,x1712))),
% 2.63/2.82 inference(rename_variables,[],[22])).
% 2.63/2.82 cnf(172,plain,
% 2.63/2.82 (P2(a3,x1721,x1721)),
% 2.63/2.82 inference(rename_variables,[],[17])).
% 2.63/2.82 cnf(174,plain,
% 2.63/2.82 (~P2(a3,f5(f4(a7,a6)),a3)),
% 2.63/2.82 inference(scs_inference,[],[15,35,17,157,172,19,20,22,151,160,164,16,18,92,152,38,40,126,106,24,29,26,25,30,33,32,31,28])).
% 2.63/2.82 cnf(175,plain,
% 2.63/2.82 (P2(a3,x1751,x1751)),
% 2.63/2.82 inference(rename_variables,[],[17])).
% 2.63/2.82 cnf(176,plain,
% 2.63/2.82 (P2(f5(x1761),x1761,a3)),
% 2.63/2.82 inference(rename_variables,[],[20])).
% 2.63/2.82 cnf(178,plain,
% 2.63/2.82 (~P2(f5(f4(a7,a6)),a3,a3)),
% 2.63/2.82 inference(scs_inference,[],[15,35,17,157,172,175,19,20,176,22,151,160,164,16,18,92,152,38,40,126,106,24,29,26,25,30,33,32,31,28,27])).
% 2.63/2.82 cnf(179,plain,
% 2.63/2.82 (P2(a3,x1791,x1791)),
% 2.63/2.82 inference(rename_variables,[],[17])).
% 2.63/2.82 cnf(180,plain,
% 2.63/2.82 (P2(f5(x1801),x1801,a3)),
% 2.63/2.82 inference(rename_variables,[],[20])).
% 2.63/2.82 cnf(182,plain,
% 2.63/2.82 (P2(a3,f8(a6,a6),f8(f8(a1,a2),f8(a1,a2)))),
% 2.63/2.82 inference(scs_inference,[],[15,35,17,157,172,175,179,19,20,176,22,151,160,164,16,18,132,92,152,38,40,126,106,24,29,26,25,30,33,32,31,28,27,14])).
% 2.63/2.82 cnf(183,plain,
% 2.63/2.82 (P2(a3,x1831,x1831)),
% 2.63/2.82 inference(rename_variables,[],[17])).
% 2.63/2.82 cnf(184,plain,
% 2.63/2.82 (~P1(a1,f4(a2,a3),f5(a7))),
% 2.63/2.82 inference(scs_inference,[],[15,35,17,157,172,175,179,19,20,176,22,151,160,164,16,18,132,92,152,38,130,40,126,106,24,29,26,25,30,33,32,31,28,27,14,10])).
% 2.63/2.82 cnf(185,plain,
% 2.63/2.82 (E(f4(x1851,a3),x1851)),
% 2.63/2.82 inference(rename_variables,[],[130])).
% 2.63/2.82 cnf(186,plain,
% 2.63/2.82 (~P1(f4(a1,a3),a2,f5(a7))),
% 2.63/2.82 inference(scs_inference,[],[15,35,17,157,172,175,179,19,20,176,22,151,160,164,16,18,132,92,152,38,130,185,40,126,106,24,29,26,25,30,33,32,31,28,27,14,10,9])).
% 2.63/2.82 cnf(187,plain,
% 2.63/2.82 (E(f4(x1871,a3),x1871)),
% 2.63/2.82 inference(rename_variables,[],[130])).
% 2.63/2.82 cnf(190,plain,
% 2.63/2.82 (~P2(a7,f4(a6,a3),f4(a3,a3))),
% 2.63/2.82 inference(scs_inference,[],[15,35,17,157,172,175,179,19,20,176,180,22,151,160,164,16,18,132,92,152,38,130,185,187,40,126,131,106,24,29,26,25,30,33,32,31,28,27,14,10,9,12,13])).
% 2.63/2.82 cnf(191,plain,
% 2.63/2.82 (E(f4(x1911,a3),x1911)),
% 2.63/2.82 inference(rename_variables,[],[130])).
% 2.63/2.82 cnf(193,plain,
% 2.63/2.82 (~E(f5(a7),f4(a6,a3))),
% 2.63/2.82 inference(scs_inference,[],[15,35,17,157,172,175,179,19,20,176,180,22,151,160,164,16,18,132,92,152,38,130,185,187,191,40,126,131,106,24,29,26,25,30,33,32,31,28,27,14,10,9,12,13,2,3])).
% 2.63/2.82 cnf(194,plain,
% 2.63/2.82 (E(f4(x1941,a3),x1941)),
% 2.63/2.82 inference(rename_variables,[],[130])).
% 2.63/2.82 cnf(201,plain,
% 2.63/2.82 (~P1(a1,a2,f4(f5(a7),a3))),
% 2.63/2.82 inference(scs_inference,[],[15,35,17,157,172,175,179,183,19,20,176,180,22,151,160,164,171,16,18,132,92,152,38,130,185,187,191,194,40,126,131,106,24,29,26,25,30,33,32,31,28,27,14,10,9,12,13,2,3,153,34,11])).
% 2.63/2.82 cnf(203,plain,
% 2.63/2.82 (P2(f4(a3,a3),x2031,x2031)),
% 2.63/2.82 inference(scs_inference,[],[48,24])).
% 2.63/2.82 cnf(205,plain,
% 2.63/2.82 (E(f8(x2051,f8(a1,a2)),f8(x2051,a6))),
% 2.63/2.82 inference(scs_inference,[],[22,48,92,24,26])).
% 2.63/2.82 cnf(207,plain,
% 2.63/2.82 (P1(x2071,x2072,f8(x2071,x2072))),
% 2.63/2.82 inference(rename_variables,[],[22])).
% 2.63/2.82 cnf(210,plain,
% 2.63/2.82 (P2(a3,x2101,x2101)),
% 2.63/2.82 inference(rename_variables,[],[17])).
% 2.63/2.82 cnf(211,plain,
% 2.63/2.82 (P1(x2111,x2112,f8(x2111,x2112))),
% 2.63/2.82 inference(rename_variables,[],[22])).
% 2.63/2.82 cnf(212,plain,
% 2.63/2.82 (P2(x2121,f5(x2121),a3)),
% 2.63/2.82 inference(rename_variables,[],[19])).
% 2.63/2.82 cnf(214,plain,
% 2.63/2.82 (E(f5(a3),a3)),
% 2.63/2.82 inference(scs_inference,[],[17,210,19,212,22,207,48,167,92,24,26,34,25])).
% 2.63/2.82 cnf(215,plain,
% 2.63/2.82 (P2(x2151,f5(x2151),a3)),
% 2.63/2.82 inference(rename_variables,[],[19])).
% 2.63/2.82 cnf(216,plain,
% 2.63/2.82 (P2(a3,x2161,x2161)),
% 2.63/2.82 inference(rename_variables,[],[17])).
% 2.63/2.82 cnf(218,plain,
% 2.63/2.82 (~P2(a6,f8(a3,a2),f4(f5(a7),a3))),
% 2.63/2.82 inference(scs_inference,[],[15,17,210,19,212,22,207,211,16,48,201,167,92,24,26,34,25,33])).
% 2.63/2.82 cnf(220,plain,
% 2.63/2.82 (P1(x2201,x2202,f8(x2201,x2202))),
% 2.63/2.82 inference(rename_variables,[],[22])).
% 2.63/2.82 cnf(222,plain,
% 2.63/2.82 (P2(f5(a3),f5(a3),a3)),
% 2.63/2.82 inference(scs_inference,[],[15,17,210,216,19,212,215,20,22,207,211,16,48,201,167,92,24,26,34,25,33,28])).
% 2.63/2.82 cnf(223,plain,
% 2.63/2.82 (P2(x2231,f5(x2231),a3)),
% 2.63/2.82 inference(rename_variables,[],[19])).
% 2.63/2.82 cnf(224,plain,
% 2.63/2.82 (P2(a3,x2241,x2241)),
% 2.63/2.82 inference(rename_variables,[],[17])).
% 2.63/2.82 cnf(225,plain,
% 2.63/2.82 (P2(f5(x2251),x2251,a3)),
% 2.63/2.82 inference(rename_variables,[],[20])).
% 2.63/2.82 cnf(227,plain,
% 2.63/2.82 (P2(a3,x2271,f4(f5(a3),x2271))),
% 2.63/2.82 inference(scs_inference,[],[15,17,210,216,224,19,212,215,223,20,21,22,207,211,16,48,201,167,92,24,26,34,25,33,28,27])).
% 2.63/2.82 cnf(228,plain,
% 2.63/2.82 (P2(x2281,x2282,f4(x2281,x2282))),
% 2.63/2.82 inference(rename_variables,[],[21])).
% 2.63/2.82 cnf(229,plain,
% 2.63/2.82 (P2(a3,x2291,x2291)),
% 2.63/2.82 inference(rename_variables,[],[17])).
% 2.63/2.82 cnf(230,plain,
% 2.63/2.82 (P2(x2301,f5(x2301),a3)),
% 2.63/2.82 inference(rename_variables,[],[19])).
% 2.63/2.82 cnf(232,plain,
% 2.63/2.82 (P1(a1,a2,f4(f8(a1,a2),f8(a1,a3)))),
% 2.63/2.82 inference(scs_inference,[],[15,17,210,216,224,19,212,215,223,20,21,22,207,211,16,75,48,201,55,167,92,24,26,34,25,33,28,27,11])).
% 2.63/2.82 cnf(233,plain,
% 2.63/2.82 (E(f4(a6,x2331),f4(f8(a1,a2),x2331))),
% 2.63/2.82 inference(rename_variables,[],[75])).
% 2.63/2.82 cnf(236,plain,
% 2.63/2.82 (P2(x2361,f5(x2361),f4(a3,a3))),
% 2.63/2.82 inference(scs_inference,[],[15,17,210,216,224,229,19,212,215,223,230,20,21,22,207,211,16,75,233,48,201,55,167,92,45,24,26,34,25,33,28,27,11,13,14])).
% 2.63/2.82 cnf(237,plain,
% 2.63/2.82 (E(x2371,f4(x2371,a3))),
% 2.63/2.82 inference(rename_variables,[],[45])).
% 2.63/2.82 cnf(238,plain,
% 2.63/2.82 (P1(a1,f4(a2,a3),a6)),
% 2.63/2.82 inference(scs_inference,[],[15,17,210,216,224,229,19,212,215,223,230,20,21,22,207,211,16,75,233,48,201,55,167,92,45,237,24,26,34,25,33,28,27,11,13,14,10])).
% 2.63/2.82 cnf(239,plain,
% 2.63/2.82 (E(x2391,f4(x2391,a3))),
% 2.63/2.82 inference(rename_variables,[],[45])).
% 2.63/2.82 cnf(240,plain,
% 2.63/2.82 (P1(f8(a1,a2),x2401,f8(a6,x2401))),
% 2.63/2.82 inference(scs_inference,[],[15,17,210,216,224,229,19,212,215,223,230,20,21,22,207,211,220,16,75,233,48,201,42,55,167,92,45,237,24,26,34,25,33,28,27,11,13,14,10,9])).
% 2.63/2.82 cnf(242,plain,
% 2.63/2.82 (P2(f5(f8(a1,a2)),a6,a3)),
% 2.63/2.82 inference(scs_inference,[],[15,17,210,216,224,229,19,212,215,223,230,20,225,21,22,207,211,220,16,75,233,48,78,201,42,55,167,92,45,237,24,26,34,25,33,28,27,11,13,14,10,9,12])).
% 2.63/2.82 cnf(244,plain,
% 2.63/2.82 (E(f4(f8(a1,a2),x2441),f4(a6,x2441))),
% 2.63/2.82 inference(scs_inference,[],[15,17,210,216,224,229,19,212,215,223,230,20,225,21,22,207,211,220,16,75,233,48,78,201,42,55,167,92,45,237,24,26,34,25,33,28,27,11,13,14,10,9,12,2])).
% 2.63/2.82 cnf(245,plain,
% 2.63/2.82 (~E(f4(f5(a7),a3),f4(a6,a3))),
% 2.63/2.82 inference(scs_inference,[],[15,17,210,216,224,229,19,212,215,223,230,20,225,21,22,207,211,220,16,75,233,48,78,201,193,42,55,167,92,45,237,239,24,26,34,25,33,28,27,11,13,14,10,9,12,2,3])).
% 2.63/2.82 cnf(249,plain,
% 2.63/2.82 (~P1(f4(a1,f5(a1)),a2,a3)),
% 2.63/2.82 inference(scs_inference,[],[15,35,17,210,216,224,229,19,212,215,223,230,20,225,21,228,22,207,211,220,16,18,75,233,48,78,201,193,42,55,167,92,45,237,239,24,26,34,25,33,28,27,11,13,14,10,9,12,2,3,29,32])).
% 2.63/2.82 cnf(257,plain,
% 2.63/2.82 (~P2(f8(a3,a2),a6,f4(f5(a7),a3))),
% 2.63/2.82 inference(scs_inference,[],[218,24])).
% 2.63/2.82 cnf(259,plain,
% 2.63/2.82 (~P2(x2591,f5(x2591),f4(a7,a6))),
% 2.63/2.82 inference(scs_inference,[],[19,218,73,24,25])).
% 2.63/2.82 cnf(261,plain,
% 2.63/2.82 (P1(f8(a6,a1),a2,f8(f8(a1,a2),a6))),
% 2.63/2.82 inference(scs_inference,[],[19,22,240,218,73,92,24,25,29])).
% 2.63/2.82 cnf(262,plain,
% 2.63/2.82 (P1(f8(a1,a2),x2621,f8(a6,x2621))),
% 2.63/2.82 inference(rename_variables,[],[240])).
% 2.63/2.82 cnf(263,plain,
% 2.63/2.82 (P1(x2631,x2632,f8(x2631,x2632))),
% 2.63/2.82 inference(rename_variables,[],[22])).
% 2.63/2.82 cnf(264,plain,
% 2.63/2.82 (P1(x2641,f8(a1,a2),f8(x2641,a6))),
% 2.63/2.82 inference(rename_variables,[],[92])).
% 2.63/2.82 cnf(266,plain,
% 2.63/2.82 (P1(a1,f8(a2,a6),f8(a6,f8(a1,a2)))),
% 2.63/2.82 inference(scs_inference,[],[19,22,263,240,262,218,73,92,264,24,25,29,30])).
% 2.63/2.82 cnf(267,plain,
% 2.63/2.82 (P1(x2671,x2672,f8(x2671,x2672))),
% 2.63/2.82 inference(rename_variables,[],[22])).
% 2.63/2.82 cnf(268,plain,
% 2.63/2.82 (P1(f8(a1,a2),x2681,f8(a6,x2681))),
% 2.63/2.82 inference(rename_variables,[],[240])).
% 2.63/2.82 cnf(271,plain,
% 2.63/2.82 (~P1(a3,f4(a2,a3),f4(a3,a3))),
% 2.63/2.82 inference(scs_inference,[],[19,20,22,263,240,262,218,99,238,73,131,92,264,24,25,29,30,32])).
% 2.63/2.82 cnf(275,plain,
% 2.63/2.82 (P2(x2751,a3,x2751)),
% 2.63/2.82 inference(rename_variables,[],[16])).
% 2.63/2.82 cnf(278,plain,
% 2.63/2.82 (P1(x2781,x2782,f8(x2781,x2782))),
% 2.63/2.82 inference(rename_variables,[],[22])).
% 2.63/2.82 cnf(282,plain,
% 2.63/2.82 (P2(x2821,a3,x2821)),
% 2.63/2.82 inference(rename_variables,[],[16])).
% 2.63/2.82 cnf(286,plain,
% 2.63/2.82 (P2(x2861,a3,x2861)),
% 2.63/2.82 inference(rename_variables,[],[16])).
% 2.63/2.82 cnf(288,plain,
% 2.63/2.82 (~E(f8(a1,a2),f5(a7))),
% 2.63/2.82 inference(scs_inference,[],[16,275,282,19,20,22,263,267,278,236,240,262,218,122,154,190,99,238,73,131,92,264,24,25,29,30,32,31,28,27,11])).
% 2.63/2.82 cnf(289,plain,
% 2.63/2.82 (P1(x2891,x2892,f8(x2891,x2892))),
% 2.63/2.82 inference(rename_variables,[],[22])).
% 2.63/2.82 cnf(291,plain,
% 2.63/2.82 (P2(a3,x2911,x2911)),
% 2.63/2.82 inference(rename_variables,[],[17])).
% 2.63/2.82 cnf(292,plain,
% 2.63/2.82 (P1(f4(f8(a1,a2),a3),x2921,f8(a6,x2921))),
% 2.63/2.82 inference(scs_inference,[],[16,275,282,17,19,20,22,263,267,278,236,240,262,268,205,218,122,154,190,99,238,73,131,92,264,45,24,25,29,30,32,31,28,27,11,13,9])).
% 2.63/2.82 cnf(293,plain,
% 2.63/2.82 (E(x2931,f4(x2931,a3))),
% 2.63/2.82 inference(rename_variables,[],[45])).
% 2.63/2.82 cnf(295,plain,
% 2.63/2.82 (P1(f5(a1),f4(a2,a3),f4(a7,a3))),
% 2.63/2.82 inference(scs_inference,[],[16,275,282,17,35,19,20,22,263,267,278,236,240,262,268,205,218,97,122,154,190,99,238,214,73,131,92,264,45,293,24,25,29,30,32,31,28,27,11,13,9,14,10])).
% 2.63/2.82 cnf(296,plain,
% 2.63/2.82 (E(x2961,f4(x2961,a3))),
% 2.63/2.82 inference(rename_variables,[],[45])).
% 2.63/2.82 cnf(297,plain,
% 2.63/2.82 (E(f8(f5(a1),a2),f4(a7,a3))),
% 2.63/2.82 inference(scs_inference,[],[16,275,282,17,35,19,20,22,263,267,278,236,240,262,268,205,218,97,122,154,190,99,103,238,214,73,131,92,264,45,293,296,24,25,29,30,32,31,28,27,11,13,9,14,10,3])).
% 2.63/2.82 cnf(300,plain,
% 2.63/2.82 (P2(x3001,a3,x3001)),
% 2.63/2.82 inference(rename_variables,[],[16])).
% 2.63/2.82 cnf(301,plain,
% 2.63/2.82 (~E(f4(a6,a3),f4(f5(a7),a3))),
% 2.63/2.82 inference(scs_inference,[],[16,275,282,286,17,35,19,20,22,263,267,278,236,240,262,268,205,218,245,97,122,154,190,99,103,238,214,73,131,92,264,45,293,296,24,25,29,30,32,31,28,27,11,13,9,14,10,3,12,2])).
% 2.63/2.82 cnf(302,plain,
% 2.63/2.82 (E(f4(f5(a3),x3021),f4(a3,x3021))),
% 2.63/2.82 inference(scs_inference,[],[16,275,282,286,17,35,19,20,22,263,267,278,236,240,262,268,205,218,245,97,122,154,190,99,103,238,214,73,131,92,264,45,293,296,24,25,29,30,32,31,28,27,11,13,9,14,10,3,12,2,7])).
% 2.63/2.82 cnf(303,plain,
% 2.63/2.82 (E(f4(x3031,f5(a3)),f4(x3031,a3))),
% 2.63/2.82 inference(scs_inference,[],[16,275,282,286,17,35,19,20,22,263,267,278,236,240,262,268,205,218,245,97,122,154,190,99,103,238,214,73,131,92,264,45,293,296,24,25,29,30,32,31,28,27,11,13,9,14,10,3,12,2,7,8])).
% 2.63/2.82 cnf(304,plain,
% 2.63/2.82 (E(f8(x3041,f5(a3)),f8(x3041,a3))),
% 2.63/2.82 inference(scs_inference,[],[16,275,282,286,17,35,19,20,22,263,267,278,236,240,262,268,205,218,245,97,122,154,190,99,103,238,214,73,131,92,264,45,293,296,24,25,29,30,32,31,28,27,11,13,9,14,10,3,12,2,7,8,6])).
% 2.63/2.82 cnf(305,plain,
% 2.63/2.82 (E(f8(f5(a3),x3051),f8(a3,x3051))),
% 2.63/2.82 inference(scs_inference,[],[16,275,282,286,17,35,19,20,22,263,267,278,236,240,262,268,205,218,245,97,122,154,190,99,103,238,214,73,131,92,264,45,293,296,24,25,29,30,32,31,28,27,11,13,9,14,10,3,12,2,7,8,6,5])).
% 2.63/2.82 cnf(306,plain,
% 2.63/2.82 (E(f5(f5(a3)),f5(a3))),
% 2.63/2.82 inference(scs_inference,[],[16,275,282,286,17,35,19,20,22,263,267,278,236,240,262,268,205,218,245,97,122,154,190,99,103,238,214,73,131,92,264,45,293,296,24,25,29,30,32,31,28,27,11,13,9,14,10,3,12,2,7,8,6,5,4])).
% 2.63/2.82 cnf(311,plain,
% 2.63/2.82 (~P1(f5(a1),a2,f5(a6))),
% 2.63/2.82 inference(scs_inference,[],[16,275,282,286,300,17,291,35,19,20,22,263,267,278,289,18,236,240,262,268,205,218,245,97,122,154,190,99,103,238,214,40,73,131,92,264,45,293,296,24,25,29,30,32,31,28,27,11,13,9,14,10,3,12,2,7,8,6,5,4,34,26])).
% 2.63/2.82 cnf(319,plain,
% 2.63/2.82 (P1(x3191,a3,f4(f8(x3191,a3),f8(x3191,a3)))),
% 2.63/2.82 inference(scs_inference,[],[16,21,22,182,24,34])).
% 2.63/2.82 cnf(320,plain,
% 2.63/2.82 (P2(x3201,x3202,f4(x3201,x3202))),
% 2.63/2.82 inference(rename_variables,[],[21])).
% 2.63/2.82 cnf(321,plain,
% 2.63/2.82 (P1(x3211,x3212,f8(x3211,x3212))),
% 2.63/2.82 inference(rename_variables,[],[22])).
% 2.63/2.82 cnf(322,plain,
% 2.63/2.82 (P2(x3221,a3,x3221)),
% 2.63/2.82 inference(rename_variables,[],[16])).
% 2.63/2.82 cnf(323,plain,
% 2.63/2.82 (P1(x3231,x3232,f8(x3231,x3232))),
% 2.63/2.82 inference(rename_variables,[],[22])).
% 2.63/2.82 cnf(325,plain,
% 2.63/2.82 (P1(f8(x3251,x3251),x3251,f8(x3251,f8(x3251,x3251)))),
% 2.63/2.82 inference(scs_inference,[],[16,21,22,323,321,182,24,34,29])).
% 2.63/2.82 cnf(326,plain,
% 2.63/2.82 (P1(x3261,x3262,f8(x3261,x3262))),
% 2.63/2.82 inference(rename_variables,[],[22])).
% 2.63/2.82 cnf(328,plain,
% 2.63/2.82 (P1(x3281,x3282,f8(x3281,x3282))),
% 2.63/2.82 inference(rename_variables,[],[22])).
% 2.63/2.82 cnf(330,plain,
% 2.63/2.82 (~P2(f4(f5(a7),a3),a3,f4(a6,a3))),
% 2.63/2.82 inference(scs_inference,[],[16,322,21,22,323,321,301,182,24,34,29,25])).
% 2.63/2.82 cnf(331,plain,
% 2.63/2.82 (P2(x3311,a3,x3311)),
% 2.63/2.82 inference(rename_variables,[],[16])).
% 2.63/2.82 cnf(333,plain,
% 2.63/2.82 (E(f4(f8(x3331,a3),f8(x3331,a3)),f8(x3331,a3))),
% 2.63/2.82 inference(scs_inference,[],[16,322,21,22,323,328,321,301,182,24,34,29,25,26])).
% 2.63/2.82 cnf(334,plain,
% 2.63/2.82 (P1(x3341,x3342,f8(x3341,x3342))),
% 2.63/2.82 inference(rename_variables,[],[22])).
% 2.63/2.82 cnf(336,plain,
% 2.63/2.82 (P1(x3361,f8(x3361,x3361),f8(f8(x3361,x3361),x3361))),
% 2.63/2.82 inference(scs_inference,[],[16,322,21,22,323,328,334,326,321,301,182,24,34,29,25,26,30])).
% 2.63/2.82 cnf(339,plain,
% 2.63/2.82 (P1(x3391,x3392,f8(x3391,x3392))),
% 2.63/2.82 inference(rename_variables,[],[22])).
% 2.63/2.82 cnf(341,plain,
% 2.63/2.82 (~P1(f5(a3),a2,f5(a3))),
% 2.63/2.82 inference(scs_inference,[],[16,322,21,22,323,328,334,326,321,301,182,222,167,24,34,29,25,26,30,33])).
% 2.63/2.82 cnf(343,plain,
% 2.63/2.82 (P2(f8(a3,x3431),f8(a3,x3431),f8(a3,x3431))),
% 2.63/2.82 inference(scs_inference,[],[16,322,331,21,22,323,328,334,339,326,321,301,182,222,167,24,34,29,25,26,30,33,32])).
% 2.63/2.82 cnf(345,plain,
% 2.63/2.82 (P1(x3451,x3452,f8(x3451,x3452))),
% 2.63/2.82 inference(rename_variables,[],[22])).
% 2.63/2.82 cnf(346,plain,
% 2.63/2.82 (P1(x3461,x3462,f8(x3461,x3462))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(347,plain,
% 2.63/2.83 (P2(x3471,a3,x3471)),
% 2.63/2.83 inference(rename_variables,[],[16])).
% 2.63/2.83 cnf(350,plain,
% 2.63/2.83 (P2(x3501,a3,x3501)),
% 2.63/2.83 inference(rename_variables,[],[16])).
% 2.63/2.83 cnf(353,plain,
% 2.63/2.83 (~P2(a3,f4(a6,a7),a3)),
% 2.63/2.83 inference(scs_inference,[],[16,322,331,347,17,35,21,320,22,323,328,334,339,326,321,19,301,182,222,167,24,34,29,25,26,30,33,32,28,27])).
% 2.63/2.83 cnf(357,plain,
% 2.63/2.83 (~P1(a1,f4(a2,a3),f4(f5(a7),a3))),
% 2.63/2.83 inference(scs_inference,[],[16,322,331,347,17,35,21,320,22,323,328,334,339,326,321,19,184,301,182,222,167,130,24,34,29,25,26,30,33,32,28,27,11])).
% 2.63/2.83 cnf(358,plain,
% 2.63/2.83 (E(f4(x3581,a3),x3581)),
% 2.63/2.83 inference(rename_variables,[],[130])).
% 2.63/2.83 cnf(359,plain,
% 2.63/2.83 (~P2(f4(a3,a3),a7,f5(a6))),
% 2.63/2.83 inference(scs_inference,[],[16,322,331,347,17,35,21,320,22,323,328,334,339,326,321,19,184,301,156,182,222,167,130,358,24,34,29,25,26,30,33,32,28,27,11,12])).
% 2.63/2.83 cnf(360,plain,
% 2.63/2.83 (E(f4(x3601,a3),x3601)),
% 2.63/2.83 inference(rename_variables,[],[130])).
% 2.63/2.83 cnf(361,plain,
% 2.63/2.83 (~E(a3,f5(f4(a7,a6)))),
% 2.63/2.83 inference(scs_inference,[],[16,322,331,347,350,17,35,21,320,22,323,328,334,339,326,321,19,259,184,301,156,182,222,167,130,358,24,34,29,25,26,30,33,32,28,27,11,12,13])).
% 2.63/2.83 cnf(363,plain,
% 2.63/2.83 (P2(x3631,a3,x3631)),
% 2.63/2.83 inference(rename_variables,[],[16])).
% 2.63/2.83 cnf(364,plain,
% 2.63/2.83 (P2(f4(f8(a1,a2),x3641),a3,f4(a6,x3641))),
% 2.63/2.83 inference(scs_inference,[],[16,322,331,347,350,363,17,35,21,320,22,323,328,334,339,326,321,19,259,184,244,301,156,182,222,167,130,358,24,34,29,25,26,30,33,32,28,27,11,12,13,14])).
% 2.63/2.83 cnf(365,plain,
% 2.63/2.83 (P2(x3651,a3,x3651)),
% 2.63/2.83 inference(rename_variables,[],[16])).
% 2.63/2.83 cnf(366,plain,
% 2.63/2.83 (~P1(f4(a1,a3),f4(a2,a3),f5(a7))),
% 2.63/2.83 inference(scs_inference,[],[16,322,331,347,350,363,17,35,21,320,22,323,328,334,339,326,321,19,259,184,244,301,156,182,222,167,130,358,360,24,34,29,25,26,30,33,32,28,27,11,12,13,14,9])).
% 2.63/2.83 cnf(368,plain,
% 2.63/2.83 (~E(f4(a6,a3),f4(f5(a7),f5(a3)))),
% 2.63/2.83 inference(scs_inference,[],[16,322,331,347,350,363,17,35,21,320,22,323,328,334,339,326,321,19,259,184,244,301,303,156,182,222,167,130,358,360,24,34,29,25,26,30,33,32,28,27,11,12,13,14,9,3])).
% 2.63/2.83 cnf(369,plain,
% 2.63/2.83 (E(f4(x3691,f5(a3)),f4(x3691,a3))),
% 2.63/2.83 inference(rename_variables,[],[303])).
% 2.63/2.83 cnf(372,plain,
% 2.63/2.83 (E(f4(x3721,f8(a1,a2)),f4(x3721,a6))),
% 2.63/2.83 inference(scs_inference,[],[16,322,331,347,350,363,17,35,21,320,22,323,328,334,339,326,321,19,259,184,244,74,301,303,369,156,182,222,167,130,358,360,24,34,29,25,26,30,33,32,28,27,11,12,13,14,9,3,10,2])).
% 2.63/2.83 cnf(373,plain,
% 2.63/2.83 (P1(a1,f4(f8(a2,a3),f8(a2,a3)),f8(a6,a3))),
% 2.63/2.83 inference(scs_inference,[],[16,322,331,347,350,363,17,35,21,320,22,323,328,334,339,326,321,19,259,184,244,74,301,303,369,156,182,222,167,130,358,360,24,34,29,25,26,30,33,32,28,27,11,12,13,14,9,3,10,2,80])).
% 2.63/2.83 cnf(375,plain,
% 2.63/2.83 (P2(f8(x3751,x3752),f8(x3751,a3),f8(x3751,x3752))),
% 2.63/2.83 inference(scs_inference,[],[16,322,331,347,350,363,365,17,35,21,320,22,323,328,334,339,346,345,326,321,19,259,184,244,74,301,303,369,156,182,222,167,130,358,360,24,34,29,25,26,30,33,32,28,27,11,12,13,14,9,3,10,2,80,31])).
% 2.63/2.83 cnf(380,plain,
% 2.63/2.83 (~P2(a3,f4(f5(a7),a3),f4(a6,a3))),
% 2.63/2.83 inference(scs_inference,[],[330,24])).
% 2.63/2.83 cnf(382,plain,
% 2.63/2.83 (~P2(f8(f5(a1),a3),a7,f5(a6))),
% 2.63/2.83 inference(scs_inference,[],[17,22,18,330,311,24,34])).
% 2.63/2.83 cnf(383,plain,
% 2.63/2.83 (P2(a3,x3831,x3831)),
% 2.63/2.83 inference(rename_variables,[],[17])).
% 2.63/2.83 cnf(384,plain,
% 2.63/2.83 (P1(x3841,x3842,f8(x3841,x3842))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(386,plain,
% 2.63/2.83 (E(x3861,f4(a3,x3861))),
% 2.63/2.83 inference(scs_inference,[],[17,383,21,22,18,330,311,24,34,25])).
% 2.63/2.83 cnf(387,plain,
% 2.63/2.83 (P2(x3871,x3872,f4(x3871,x3872))),
% 2.63/2.83 inference(rename_variables,[],[21])).
% 2.63/2.83 cnf(389,plain,
% 2.63/2.83 (~P1(f4(f5(a1),a3),a2,f5(a6))),
% 2.63/2.83 inference(scs_inference,[],[17,383,21,22,18,101,330,311,40,24,34,25,26])).
% 2.63/2.83 cnf(391,plain,
% 2.63/2.83 (P1(a6,a6,f8(f8(a1,a2),a6))),
% 2.63/2.83 inference(scs_inference,[],[17,383,21,22,384,18,101,330,261,311,40,15,24,34,25,26,30])).
% 2.63/2.83 cnf(392,plain,
% 2.63/2.83 (P1(x3921,x3922,f8(x3921,x3922))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(394,plain,
% 2.63/2.83 (P1(a3,x3941,f4(f8(a3,x3941),f8(a3,x3941)))),
% 2.63/2.83 inference(scs_inference,[],[17,383,21,387,22,384,392,18,101,330,261,311,40,15,24,34,25,26,30,33])).
% 2.63/2.83 cnf(395,plain,
% 2.63/2.83 (P2(x3951,x3952,f4(x3951,x3952))),
% 2.63/2.83 inference(rename_variables,[],[21])).
% 2.63/2.83 cnf(397,plain,
% 2.63/2.83 (P1(x3971,x3972,f8(x3971,x3972))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(398,plain,
% 2.63/2.83 (P2(a3,x3981,x3981)),
% 2.63/2.83 inference(rename_variables,[],[17])).
% 2.63/2.83 cnf(400,plain,
% 2.63/2.83 (P2(f8(a3,a3),f4(f8(a3,a3),f8(a3,a3)),f8(a3,a3))),
% 2.63/2.83 inference(scs_inference,[],[17,383,398,21,387,22,384,392,397,18,101,319,330,261,311,40,15,24,34,25,26,30,33,32])).
% 2.63/2.83 cnf(402,plain,
% 2.63/2.83 (P1(x4021,x4022,f8(x4021,x4022))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(403,plain,
% 2.63/2.83 (P2(a3,x4031,x4031)),
% 2.63/2.83 inference(rename_variables,[],[17])).
% 2.63/2.83 cnf(404,plain,
% 2.63/2.83 (P1(x4041,x4042,f8(x4041,x4042))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(407,plain,
% 2.63/2.83 (P2(a3,x4071,x4071)),
% 2.63/2.83 inference(rename_variables,[],[17])).
% 2.63/2.83 cnf(410,plain,
% 2.63/2.83 (P2(f8(x4101,a3),f8(x4101,x4102),f8(x4101,x4102))),
% 2.63/2.83 inference(scs_inference,[],[17,383,398,403,407,21,387,19,22,384,392,397,404,402,18,101,319,330,359,261,311,40,15,24,34,25,26,30,33,32,28,31])).
% 2.63/2.83 cnf(413,plain,
% 2.63/2.83 (P1(x4131,x4132,f8(x4131,x4132))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(416,plain,
% 2.63/2.83 (P2(a3,x4161,x4161)),
% 2.63/2.83 inference(rename_variables,[],[17])).
% 2.63/2.83 cnf(419,plain,
% 2.63/2.83 (~P1(a3,f4(a2,a3),f4(f5(a3),a3))),
% 2.63/2.83 inference(scs_inference,[],[17,383,398,403,407,21,387,395,19,22,384,392,397,404,402,18,302,101,319,271,330,359,261,311,40,15,24,34,25,26,30,33,32,28,31,27,11])).
% 2.63/2.83 cnf(421,plain,
% 2.63/2.83 (P1(x4211,x4212,f8(f4(x4211,a3),x4212))),
% 2.63/2.83 inference(scs_inference,[],[17,383,398,403,407,21,387,395,19,22,384,392,397,404,413,402,18,302,101,319,271,330,359,261,311,40,130,15,24,34,25,26,30,33,32,28,31,27,11,9])).
% 2.63/2.83 cnf(422,plain,
% 2.63/2.83 (P1(x4221,x4222,f8(x4221,x4222))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(423,plain,
% 2.63/2.83 (P2(f8(x4231,a3),f8(x4231,a3),f8(x4231,f5(a3)))),
% 2.63/2.83 inference(scs_inference,[],[17,383,398,403,407,21,387,395,19,22,384,392,397,404,413,402,18,375,302,304,101,319,271,330,359,261,311,40,130,15,24,34,25,26,30,33,32,28,31,27,11,9,12])).
% 2.63/2.83 cnf(425,plain,
% 2.63/2.83 (P2(a3,f8(x4251,a3),f4(f8(x4251,a3),f8(x4251,a3)))),
% 2.63/2.83 inference(scs_inference,[],[17,383,398,403,407,416,21,387,395,19,22,384,392,397,404,413,402,18,333,375,302,304,101,319,271,330,359,261,311,40,130,15,24,34,25,26,30,33,32,28,31,27,11,9,12,13])).
% 2.63/2.83 cnf(427,plain,
% 2.63/2.83 (P2(f5(x4271),x4271,f4(a3,a3))),
% 2.63/2.83 inference(scs_inference,[],[17,383,398,403,407,416,20,21,387,395,19,22,384,392,397,404,413,402,18,333,375,302,304,101,319,271,330,359,261,311,40,130,45,15,24,34,25,26,30,33,32,28,31,27,11,9,12,13,14])).
% 2.63/2.83 cnf(428,plain,
% 2.63/2.83 (E(x4281,f4(x4281,a3))),
% 2.63/2.83 inference(rename_variables,[],[45])).
% 2.63/2.83 cnf(431,plain,
% 2.63/2.83 (P1(x4311,x4312,f8(x4311,f4(x4312,a3)))),
% 2.63/2.83 inference(scs_inference,[],[17,383,398,403,407,416,38,20,21,387,395,19,22,384,392,397,404,413,422,402,18,333,375,302,304,101,319,271,330,359,261,311,40,130,45,428,15,24,34,25,26,30,33,32,28,31,27,11,9,12,13,14,3,10])).
% 2.63/2.83 cnf(433,plain,
% 2.63/2.83 (~E(f4(f5(a7),f5(a3)),f4(a6,a3))),
% 2.63/2.83 inference(scs_inference,[],[17,383,398,403,407,416,38,20,21,387,395,19,22,384,392,397,404,413,422,402,18,333,375,302,304,368,101,319,271,330,359,261,311,40,130,45,428,15,24,34,25,26,30,33,32,28,31,27,11,9,12,13,14,3,10,2])).
% 2.63/2.83 cnf(440,plain,
% 2.63/2.83 (P2(f4(f8(a3,a3),f8(a3,a3)),f8(a3,a3),f8(a3,a3))),
% 2.63/2.83 inference(scs_inference,[],[400,24])).
% 2.63/2.83 cnf(442,plain,
% 2.63/2.83 (~P2(f5(x4421),x4421,f5(f4(a7,a6)))),
% 2.63/2.83 inference(scs_inference,[],[20,400,361,24,25])).
% 2.63/2.83 cnf(445,plain,
% 2.63/2.83 (P2(a3,x4451,x4451)),
% 2.63/2.83 inference(rename_variables,[],[17])).
% 2.63/2.83 cnf(446,plain,
% 2.63/2.83 (P1(x4461,x4462,f8(x4461,x4462))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(447,plain,
% 2.63/2.83 (P2(x4471,f5(x4471),f4(a3,a3))),
% 2.63/2.83 inference(rename_variables,[],[236])).
% 2.63/2.83 cnf(449,plain,
% 2.63/2.83 (P1(f4(a1,a1),f8(a2,x4491),f4(f8(a6,x4491),f8(a6,x4491)))),
% 2.63/2.83 inference(scs_inference,[],[17,20,21,22,95,400,135,361,236,271,24,25,34,33])).
% 2.63/2.83 cnf(450,plain,
% 2.63/2.83 (P2(x4501,x4502,f4(x4501,x4502))),
% 2.63/2.83 inference(rename_variables,[],[21])).
% 2.63/2.83 cnf(453,plain,
% 2.63/2.83 (P2(f5(a3),f5(a3),f4(a3,a3))),
% 2.63/2.83 inference(scs_inference,[],[17,445,20,21,22,95,400,135,361,236,447,271,24,25,34,33,28])).
% 2.63/2.83 cnf(455,plain,
% 2.63/2.83 (P2(a3,x4551,x4551)),
% 2.63/2.83 inference(rename_variables,[],[17])).
% 2.63/2.83 cnf(456,plain,
% 2.63/2.83 (P2(f5(x4561),x4561,a3)),
% 2.63/2.83 inference(rename_variables,[],[20])).
% 2.63/2.83 cnf(458,plain,
% 2.63/2.83 (~P1(f4(a1,f5(a1)),f4(a2,a3),a3)),
% 2.63/2.83 inference(scs_inference,[],[17,445,20,35,21,450,22,95,400,135,361,236,447,99,271,238,24,25,34,33,28,32])).
% 2.63/2.83 cnf(459,plain,
% 2.63/2.83 (P2(x4591,x4592,f4(x4591,x4592))),
% 2.63/2.83 inference(rename_variables,[],[21])).
% 2.63/2.83 cnf(461,plain,
% 2.63/2.83 (P2(f8(x4611,a3),f8(x4611,a3),f8(f4(x4611,a3),a3))),
% 2.63/2.83 inference(scs_inference,[],[17,445,455,20,35,21,450,22,446,95,400,421,135,361,236,447,99,271,238,24,25,34,33,28,32,31])).
% 2.63/2.83 cnf(463,plain,
% 2.63/2.83 (P2(a3,x4631,x4631)),
% 2.63/2.83 inference(rename_variables,[],[17])).
% 2.63/2.83 cnf(465,plain,
% 2.63/2.83 (P1(x4651,x4652,f8(x4651,x4652))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(467,plain,
% 2.63/2.83 (P2(f4(a3,f5(x4671)),x4671,a3)),
% 2.63/2.83 inference(scs_inference,[],[17,445,455,463,20,456,35,21,450,459,22,446,95,400,421,135,361,236,447,99,271,238,24,25,34,33,28,32,31,27])).
% 2.63/2.83 cnf(468,plain,
% 2.63/2.83 (P2(a3,x4681,x4681)),
% 2.63/2.83 inference(rename_variables,[],[17])).
% 2.63/2.83 cnf(471,plain,
% 2.63/2.83 (~E(f8(f4(a1,a3),f4(a2,a3)),f5(a7))),
% 2.63/2.83 inference(scs_inference,[],[17,445,455,463,20,456,35,21,450,459,22,446,465,95,400,421,366,135,361,236,447,99,271,238,24,25,34,33,28,32,31,27,11])).
% 2.63/2.83 cnf(472,plain,
% 2.63/2.83 (P1(x4721,x4722,f8(x4721,x4722))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(473,plain,
% 2.63/2.83 (~P2(a6,a7,f4(a3,a3))),
% 2.63/2.83 inference(scs_inference,[],[17,445,455,463,20,456,35,21,450,459,22,446,465,95,400,421,366,135,361,236,447,99,271,238,130,24,25,34,33,28,32,31,27,11,14])).
% 2.63/2.83 cnf(475,plain,
% 2.63/2.83 (P1(f4(a3,x4751),x4752,f8(x4751,x4752))),
% 2.63/2.83 inference(scs_inference,[],[17,445,455,463,20,456,35,21,450,459,22,446,465,472,95,400,421,386,366,135,361,236,447,99,271,238,130,24,25,34,33,28,32,31,27,11,14,9])).
% 2.63/2.83 cnf(476,plain,
% 2.63/2.83 (P1(x4761,x4762,f8(x4761,x4762))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(477,plain,
% 2.63/2.83 (P2(a3,f4(a3,x4771),x4771)),
% 2.63/2.83 inference(scs_inference,[],[17,445,455,463,468,20,456,35,21,450,459,22,446,465,472,95,400,421,386,366,135,361,236,447,99,271,238,130,24,25,34,33,28,32,31,27,11,14,9,13])).
% 2.63/2.83 cnf(478,plain,
% 2.63/2.83 (E(x4781,f4(a3,x4781))),
% 2.63/2.83 inference(rename_variables,[],[386])).
% 2.63/2.83 cnf(479,plain,
% 2.63/2.83 (~P2(x4791,f5(f4(a3,x4791)),f4(a7,a6))),
% 2.63/2.83 inference(scs_inference,[],[17,445,455,463,468,20,456,35,21,450,459,22,446,465,472,95,400,421,386,478,366,135,361,236,447,259,99,271,238,130,24,25,34,33,28,32,31,27,11,14,9,13,12])).
% 2.63/2.83 cnf(481,plain,
% 2.63/2.83 (E(f8(a1,a2),f4(a3,a6))),
% 2.63/2.83 inference(scs_inference,[],[17,445,455,463,468,20,456,35,21,450,459,22,446,465,472,95,400,421,386,478,372,366,135,361,236,447,259,99,271,238,130,24,25,34,33,28,32,31,27,11,14,9,13,12,3])).
% 2.63/2.83 cnf(482,plain,
% 2.63/2.83 (E(x4821,f4(a3,x4821))),
% 2.63/2.83 inference(rename_variables,[],[386])).
% 2.63/2.83 cnf(484,plain,
% 2.63/2.83 (P1(x4841,f4(a3,x4842),f8(x4841,x4842))),
% 2.63/2.83 inference(scs_inference,[],[17,445,455,463,468,20,456,35,21,450,459,22,446,465,472,476,95,400,421,386,478,482,372,366,135,361,236,447,259,99,271,238,130,24,25,34,33,28,32,31,27,11,14,9,13,12,3,10])).
% 2.63/2.83 cnf(485,plain,
% 2.63/2.83 (P1(x4851,x4852,f8(x4851,x4852))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(486,plain,
% 2.63/2.83 (E(f4(a3,x4861),x4861)),
% 2.63/2.83 inference(scs_inference,[],[17,445,455,463,468,20,456,35,21,450,459,22,446,465,472,476,95,400,421,386,478,482,372,366,135,361,236,447,259,99,271,238,130,24,25,34,33,28,32,31,27,11,14,9,13,12,3,10,2])).
% 2.63/2.83 cnf(488,plain,
% 2.63/2.83 (P1(x4881,x4882,f8(x4881,x4882))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(490,plain,
% 2.63/2.83 (E(f4(f8(a3,x4901),f8(a3,x4901)),f8(a3,x4901))),
% 2.63/2.83 inference(scs_inference,[],[17,445,455,463,468,20,456,35,21,450,459,22,446,465,472,476,485,488,95,400,421,386,478,482,372,366,394,135,361,236,447,259,99,271,238,130,24,25,34,33,28,32,31,27,11,14,9,13,12,3,10,2,29,26])).
% 2.63/2.83 cnf(500,plain,
% 2.63/2.83 (P1(f5(a1),f4(a2,a2),f4(a7,a7))),
% 2.63/2.83 inference(scs_inference,[],[18,21,442,95,24,34])).
% 2.63/2.83 cnf(501,plain,
% 2.63/2.83 (P2(x5011,x5012,f4(x5012,x5011))),
% 2.63/2.83 inference(rename_variables,[],[95])).
% 2.63/2.83 cnf(502,plain,
% 2.63/2.83 (P2(x5021,x5022,f4(x5021,x5022))),
% 2.63/2.83 inference(rename_variables,[],[21])).
% 2.63/2.83 cnf(505,plain,
% 2.63/2.83 (P2(f4(a3,a3),x5051,x5051)),
% 2.63/2.83 inference(rename_variables,[],[203])).
% 2.63/2.83 cnf(507,plain,
% 2.63/2.83 (P1(f8(f4(x5071,a3),f5(a1)),a2,f8(x5071,a7))),
% 2.63/2.83 inference(scs_inference,[],[18,38,21,22,203,442,95,421,24,34,25,29])).
% 2.63/2.83 cnf(509,plain,
% 2.63/2.83 (P1(x5091,x5092,f8(x5091,x5092))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(511,plain,
% 2.63/2.83 (~P2(f4(f8(a1,a2),f8(a1,a3)),f8(a3,a2),f5(a7))),
% 2.63/2.83 inference(scs_inference,[],[18,38,21,502,22,509,203,442,186,232,95,421,24,34,25,29,33])).
% 2.63/2.83 cnf(512,plain,
% 2.63/2.83 (P2(x5121,x5122,f4(x5121,x5122))),
% 2.63/2.83 inference(rename_variables,[],[21])).
% 2.63/2.83 cnf(513,plain,
% 2.63/2.83 (P1(x5131,x5132,f8(x5131,x5132))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(519,plain,
% 2.63/2.83 (P2(f4(a3,a3),x5191,x5191)),
% 2.63/2.83 inference(rename_variables,[],[203])).
% 2.63/2.83 cnf(520,plain,
% 2.63/2.83 (P2(x5201,x5202,f4(x5201,x5202))),
% 2.63/2.83 inference(rename_variables,[],[21])).
% 2.63/2.83 cnf(523,plain,
% 2.63/2.83 (P2(x5231,x5232,f4(x5231,x5232))),
% 2.63/2.83 inference(rename_variables,[],[21])).
% 2.63/2.83 cnf(524,plain,
% 2.63/2.83 (P1(x5241,x5242,f8(x5241,x5242))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(526,plain,
% 2.63/2.83 (~P2(a6,a3,f5(a7))),
% 2.63/2.83 inference(scs_inference,[],[18,38,21,502,512,520,523,19,35,22,509,513,203,505,442,148,382,186,232,95,501,421,15,24,34,25,29,33,32,28,31,27])).
% 2.63/2.83 cnf(531,plain,
% 2.63/2.83 (E(f4(a3,x5311),x5311)),
% 2.63/2.83 inference(rename_variables,[],[486])).
% 2.63/2.83 cnf(532,plain,
% 2.63/2.83 (P2(f4(a3,a3),f8(f5(a3),x5321),f8(a3,x5321))),
% 2.63/2.83 inference(scs_inference,[],[18,38,21,502,512,520,523,19,35,22,509,513,203,505,519,442,148,486,382,305,186,232,95,501,421,15,24,34,25,29,33,32,28,31,27,11,14])).
% 2.63/2.83 cnf(534,plain,
% 2.63/2.83 (~P1(f4(a3,a1),f4(a2,a3),f4(f5(a7),a3))),
% 2.63/2.83 inference(scs_inference,[],[18,38,21,502,512,520,523,19,35,22,509,513,203,505,519,442,148,357,486,531,382,305,186,232,95,501,421,15,24,34,25,29,33,32,28,31,27,11,14,9])).
% 2.63/2.83 cnf(535,plain,
% 2.63/2.83 (E(f4(a3,x5351),x5351)),
% 2.63/2.83 inference(rename_variables,[],[486])).
% 2.63/2.83 cnf(536,plain,
% 2.63/2.83 (~P1(f4(a1,a3),f4(a3,a2),f5(a7))),
% 2.63/2.83 inference(scs_inference,[],[18,38,21,502,512,520,523,19,35,22,509,513,203,505,519,442,148,357,486,531,535,382,305,186,232,95,501,421,15,24,34,25,29,33,32,28,31,27,11,14,9,10])).
% 2.63/2.83 cnf(537,plain,
% 2.63/2.83 (E(f4(a3,x5371),x5371)),
% 2.63/2.83 inference(rename_variables,[],[486])).
% 2.63/2.83 cnf(538,plain,
% 2.63/2.83 (~E(f4(a3,a3),f4(a7,a6))),
% 2.63/2.83 inference(scs_inference,[],[18,38,21,502,512,520,523,19,35,22,509,513,203,505,519,442,148,357,486,531,535,382,305,186,232,95,501,421,48,15,24,34,25,29,33,32,28,31,27,11,14,9,10,13])).
% 2.63/2.83 cnf(541,plain,
% 2.63/2.83 (~E(f5(a3),f4(a7,a6))),
% 2.63/2.83 inference(scs_inference,[],[18,38,21,502,512,520,523,19,20,35,22,509,513,203,505,519,442,148,357,486,531,535,382,305,186,232,95,501,421,48,15,24,34,25,29,33,32,28,31,27,11,14,9,10,13,12])).
% 2.63/2.83 cnf(544,plain,
% 2.63/2.83 (E(f4(a3,x5441),x5441)),
% 2.63/2.83 inference(rename_variables,[],[486])).
% 2.63/2.83 cnf(545,plain,
% 2.63/2.83 (~E(a7,f5(a6))),
% 2.63/2.83 inference(scs_inference,[],[18,36,40,38,21,502,512,520,523,19,20,35,22,509,513,203,505,519,442,148,357,486,531,535,537,382,305,186,232,95,501,421,48,15,24,34,25,29,33,32,28,31,27,11,14,9,10,13,12,3,2])).
% 2.63/2.83 cnf(546,plain,
% 2.63/2.83 (E(f4(f4(a3,x5461),x5462),f4(x5461,x5462))),
% 2.63/2.83 inference(scs_inference,[],[18,36,40,38,21,502,512,520,523,19,20,35,22,509,513,203,505,519,442,148,357,486,531,535,537,544,382,305,186,232,95,501,421,48,15,24,34,25,29,33,32,28,31,27,11,14,9,10,13,12,3,2,7])).
% 2.63/2.83 cnf(547,plain,
% 2.63/2.83 (E(f4(x5471,f4(a3,x5472)),f4(x5471,x5472))),
% 2.63/2.83 inference(scs_inference,[],[18,36,40,38,21,502,512,520,523,19,20,35,22,509,513,203,505,519,442,148,357,486,531,535,537,544,382,305,186,232,95,501,421,48,15,24,34,25,29,33,32,28,31,27,11,14,9,10,13,12,3,2,7,8])).
% 2.63/2.83 cnf(548,plain,
% 2.63/2.83 (E(f8(x5481,f4(a3,x5482)),f8(x5481,x5482))),
% 2.63/2.83 inference(scs_inference,[],[18,36,40,38,21,502,512,520,523,19,20,35,22,509,513,203,505,519,442,148,357,486,531,535,537,544,382,305,186,232,95,501,421,48,15,24,34,25,29,33,32,28,31,27,11,14,9,10,13,12,3,2,7,8,6])).
% 2.63/2.83 cnf(549,plain,
% 2.63/2.83 (E(f8(f4(a3,x5491),x5492),f8(x5491,x5492))),
% 2.63/2.83 inference(scs_inference,[],[18,36,40,38,21,502,512,520,523,19,20,35,22,509,513,203,505,519,442,148,357,486,531,535,537,544,382,305,186,232,95,501,421,48,15,24,34,25,29,33,32,28,31,27,11,14,9,10,13,12,3,2,7,8,6,5])).
% 2.63/2.83 cnf(550,plain,
% 2.63/2.83 (E(f5(f4(a3,x5501)),f5(x5501))),
% 2.63/2.83 inference(scs_inference,[],[18,36,40,38,21,502,512,520,523,19,20,35,22,509,513,203,505,519,442,148,357,486,531,535,537,544,382,305,186,232,95,501,421,48,15,24,34,25,29,33,32,28,31,27,11,14,9,10,13,12,3,2,7,8,6,5,4])).
% 2.63/2.83 cnf(553,plain,
% 2.63/2.83 (P1(f5(a1),f8(a2,f4(a3,x5531)),f8(a7,x5531))),
% 2.63/2.83 inference(scs_inference,[],[18,36,40,38,21,502,512,520,523,19,20,35,22,509,513,524,203,505,519,442,148,484,357,486,531,535,537,544,382,305,186,232,95,501,421,48,15,24,34,25,29,33,32,28,31,27,11,14,9,10,13,12,3,2,7,8,6,5,4,26,30])).
% 2.63/2.83 cnf(557,plain,
% 2.63/2.83 (P2(f8(f5(a3),x5571),f4(a3,a3),f8(a3,x5571))),
% 2.63/2.83 inference(scs_inference,[],[532,24])).
% 2.63/2.83 cnf(559,plain,
% 2.63/2.83 (E(f4(x5591,f5(x5591)),a3)),
% 2.63/2.83 inference(scs_inference,[],[21,19,532,24,25])).
% 2.63/2.83 cnf(560,plain,
% 2.63/2.83 (P2(x5601,f5(x5601),a3)),
% 2.63/2.83 inference(rename_variables,[],[19])).
% 2.63/2.83 cnf(561,plain,
% 2.63/2.83 (P2(x5611,x5612,f4(x5611,x5612))),
% 2.63/2.83 inference(rename_variables,[],[21])).
% 2.63/2.83 cnf(563,plain,
% 2.63/2.83 (P1(a7,f4(a3,x5631),f8(f5(a1),f8(a2,x5631)))),
% 2.63/2.83 inference(scs_inference,[],[18,21,19,22,532,484,24,25,29])).
% 2.63/2.83 cnf(565,plain,
% 2.63/2.83 (P1(x5651,x5652,f8(x5651,x5652))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(568,plain,
% 2.63/2.83 (P2(x5681,x5682,f4(x5681,x5682))),
% 2.63/2.83 inference(rename_variables,[],[21])).
% 2.63/2.83 cnf(572,plain,
% 2.63/2.83 (P1(x5721,x5722,f8(x5721,x5722))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(574,plain,
% 2.63/2.83 (~P1(f5(a1),a2,f5(f8(a1,a2)))),
% 2.63/2.83 inference(scs_inference,[],[18,21,561,568,19,560,22,565,572,532,249,484,97,95,24,25,29,34,26,33])).
% 2.63/2.83 cnf(575,plain,
% 2.63/2.83 (P2(x5751,f5(x5751),a3)),
% 2.63/2.83 inference(rename_variables,[],[19])).
% 2.63/2.83 cnf(576,plain,
% 2.63/2.83 (P2(x5761,x5762,f4(x5761,x5762))),
% 2.63/2.83 inference(rename_variables,[],[21])).
% 2.63/2.83 cnf(577,plain,
% 2.63/2.83 (P1(x5771,x5772,f8(x5771,x5772))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(580,plain,
% 2.63/2.83 (P1(x5801,x5802,f8(x5801,x5802))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(582,plain,
% 2.63/2.83 (~P1(f4(a1,f5(a1)),a2,f4(a3,a3))),
% 2.63/2.83 inference(scs_inference,[],[18,21,561,568,576,19,560,22,565,572,577,532,249,507,473,484,97,95,15,24,25,29,34,26,33,30,32])).
% 2.63/2.83 cnf(583,plain,
% 2.63/2.83 (P2(x5831,x5832,f4(x5831,x5832))),
% 2.63/2.83 inference(rename_variables,[],[21])).
% 2.63/2.83 cnf(585,plain,
% 2.63/2.83 (~P2(x5851,f5(f4(a6,x5851)),a7)),
% 2.63/2.83 inference(scs_inference,[],[18,21,561,568,576,583,19,560,575,35,22,565,572,577,532,249,507,473,484,97,95,15,24,25,29,34,26,33,30,32,28])).
% 2.63/2.83 cnf(586,plain,
% 2.63/2.83 (P2(x5861,x5862,f4(x5861,x5862))),
% 2.63/2.83 inference(rename_variables,[],[21])).
% 2.63/2.83 cnf(587,plain,
% 2.63/2.83 (P2(x5871,f5(x5871),a3)),
% 2.63/2.83 inference(rename_variables,[],[19])).
% 2.63/2.83 cnf(589,plain,
% 2.63/2.83 (P2(f8(f5(a1),f4(a3,a3)),a7,a7)),
% 2.63/2.83 inference(scs_inference,[],[18,21,561,568,576,583,19,560,575,35,22,565,572,577,580,532,249,507,473,203,484,97,95,15,24,25,29,34,26,33,30,32,28,31])).
% 2.63/2.83 cnf(591,plain,
% 2.63/2.83 (P1(x5911,x5912,f8(x5911,x5912))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(593,plain,
% 2.63/2.83 (~P2(a3,f4(f4(a3,a6),a7),a3)),
% 2.63/2.83 inference(scs_inference,[],[18,21,561,568,576,583,586,19,560,575,35,22,565,572,577,580,532,249,477,507,473,203,484,97,95,15,24,25,29,34,26,33,30,32,28,31,27])).
% 2.63/2.83 cnf(595,plain,
% 2.63/2.83 (P2(x5951,x5952,f4(x5951,x5952))),
% 2.63/2.83 inference(rename_variables,[],[21])).
% 2.63/2.83 cnf(597,plain,
% 2.63/2.83 (P2(f5(x5971),f4(a3,x5971),a3)),
% 2.63/2.83 inference(scs_inference,[],[18,21,561,568,576,583,586,19,560,575,20,35,22,565,572,577,580,550,532,249,477,507,473,203,484,97,95,15,24,25,29,34,26,33,30,32,28,31,27,12])).
% 2.63/2.83 cnf(601,plain,
% 2.63/2.83 (P1(f4(a3,a6),x6011,f8(f8(a1,a2),x6011))),
% 2.63/2.83 inference(scs_inference,[],[18,21,561,568,576,583,586,19,560,575,20,35,22,565,572,577,580,591,547,550,532,534,481,249,477,507,473,203,484,97,95,15,24,25,29,34,26,33,30,32,28,31,27,12,11,9])).
% 2.63/2.83 cnf(602,plain,
% 2.63/2.83 (P1(x6021,x6022,f8(x6021,x6022))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(603,plain,
% 2.63/2.83 (P1(x6031,f4(a3,a6),f8(x6031,f8(a1,a2)))),
% 2.63/2.83 inference(scs_inference,[],[18,21,561,568,576,583,586,19,560,575,20,35,22,565,572,577,580,591,602,547,550,532,534,481,249,477,507,473,203,484,97,95,15,24,25,29,34,26,33,30,32,28,31,27,12,11,9,10])).
% 2.63/2.83 cnf(605,plain,
% 2.63/2.83 (~E(f4(a6,a7),a3)),
% 2.63/2.83 inference(scs_inference,[],[18,21,561,568,576,583,586,595,19,560,575,20,35,22,565,572,577,580,591,602,547,550,532,534,481,249,477,507,473,203,484,97,95,15,24,25,29,34,26,33,30,32,28,31,27,12,11,9,10,14])).
% 2.63/2.83 cnf(607,plain,
% 2.63/2.83 (P2(f4(a3,x6071),f5(x6071),a3)),
% 2.63/2.83 inference(scs_inference,[],[18,21,561,568,576,583,586,595,19,560,575,587,20,35,22,565,572,577,580,591,602,547,550,532,534,481,249,477,507,473,203,484,97,95,15,24,25,29,34,26,33,30,32,28,31,27,12,11,9,10,14,13])).
% 2.63/2.83 cnf(610,plain,
% 2.63/2.83 (E(f4(x6101,x6102),f4(f4(a3,x6101),x6102))),
% 2.63/2.83 inference(scs_inference,[],[18,40,21,561,568,576,583,586,595,19,560,575,587,20,35,22,565,572,577,580,591,602,546,547,550,532,534,481,249,477,507,473,203,484,97,78,95,15,24,25,29,34,26,33,30,32,28,31,27,12,11,9,10,14,13,3,2])).
% 2.63/2.83 cnf(611,plain,
% 2.63/2.83 (P1(a1,f8(a2,f4(x6111,a3)),f8(a6,x6111))),
% 2.63/2.83 inference(scs_inference,[],[18,40,21,561,568,576,583,586,595,19,560,575,587,20,35,22,565,572,577,580,591,602,546,547,550,532,534,481,249,477,507,473,431,203,484,97,78,95,15,24,25,29,34,26,33,30,32,28,31,27,12,11,9,10,14,13,3,2,80])).
% 2.63/2.83 cnf(614,plain,
% 2.63/2.83 (~P2(f5(f4(a3,x6141)),x6141,f4(a7,a6))),
% 2.63/2.83 inference(scs_inference,[],[479,24])).
% 2.63/2.83 cnf(616,plain,
% 2.63/2.83 (P1(f8(x6161,x6161),x6161,f8(f4(x6161,a3),f8(x6161,x6161)))),
% 2.63/2.83 inference(scs_inference,[],[22,479,421,24,29])).
% 2.63/2.83 cnf(618,plain,
% 2.63/2.83 (P1(x6181,x6182,f8(x6181,x6182))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(619,plain,
% 2.63/2.83 (P1(x6191,x6192,f8(x6191,x6192))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(621,plain,
% 2.63/2.83 (P1(x6211,a3,f8(x6211,f5(a3)))),
% 2.63/2.83 inference(scs_inference,[],[19,22,619,618,410,479,421,24,29,34])).
% 2.63/2.83 cnf(622,plain,
% 2.63/2.83 (P2(f8(x6221,a3),f8(x6221,x6222),f8(x6221,x6222))),
% 2.63/2.83 inference(rename_variables,[],[410])).
% 2.63/2.83 cnf(623,plain,
% 2.63/2.83 (P1(x6231,x6232,f8(x6231,x6232))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(624,plain,
% 2.63/2.83 (P2(x6241,f5(x6241),a3)),
% 2.63/2.83 inference(rename_variables,[],[19])).
% 2.63/2.83 cnf(625,plain,
% 2.63/2.83 (P1(x6251,x6252,f8(x6251,x6252))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(627,plain,
% 2.63/2.83 (~P2(f5(x6271),x6271,f4(a7,a6))),
% 2.63/2.83 inference(scs_inference,[],[19,22,619,618,427,538,410,479,421,24,29,34,25])).
% 2.63/2.83 cnf(632,plain,
% 2.63/2.83 (P1(f8(a1,a2),f8(x6321,x6322),f8(f8(a6,x6321),x6322))),
% 2.63/2.83 inference(scs_inference,[],[19,22,619,623,618,625,427,538,410,475,479,288,240,421,24,29,34,25,26,30])).
% 2.63/2.83 cnf(634,plain,
% 2.63/2.83 (P1(x6341,x6342,f8(x6341,x6342))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(636,plain,
% 2.63/2.83 (~P2(a3,f4(a3,a3),f4(a7,a6))),
% 2.63/2.83 inference(scs_inference,[],[19,624,22,619,623,618,625,427,538,174,410,475,479,288,240,203,421,24,29,34,25,26,30,28])).
% 2.63/2.83 cnf(637,plain,
% 2.63/2.83 (P2(x6371,f5(x6371),a3)),
% 2.63/2.83 inference(rename_variables,[],[19])).
% 2.63/2.83 cnf(640,plain,
% 2.63/2.83 (P2(f8(x6401,x6402),f8(x6401,x6402),f8(f4(x6401,x6401),x6402))),
% 2.63/2.83 inference(scs_inference,[],[19,624,21,22,619,623,634,618,625,427,538,174,410,475,479,288,240,203,421,24,29,34,25,26,30,28,32])).
% 2.63/2.83 cnf(642,plain,
% 2.63/2.83 (P1(x6421,x6422,f8(x6421,x6422))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(643,plain,
% 2.63/2.83 (P1(x6431,x6432,f8(x6431,x6432))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(644,plain,
% 2.63/2.83 (P2(x6441,x6442,f4(x6441,x6442))),
% 2.63/2.83 inference(rename_variables,[],[21])).
% 2.63/2.83 cnf(646,plain,
% 2.63/2.83 (P2(f8(x6461,a3),f8(x6461,f5(a3)),f8(x6461,a3))),
% 2.63/2.83 inference(scs_inference,[],[19,624,637,21,22,619,623,634,643,642,618,625,427,538,174,410,475,479,288,240,203,421,24,29,34,25,26,30,28,32,31])).
% 2.63/2.83 cnf(649,plain,
% 2.63/2.83 (P1(x6491,x6492,f8(x6491,x6492))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(653,plain,
% 2.63/2.83 (P2(x6531,x6532,f4(x6531,x6532))),
% 2.63/2.83 inference(rename_variables,[],[21])).
% 2.63/2.83 cnf(662,plain,
% 2.63/2.83 (P1(f8(a1,a2),a6,f8(a6,f8(a1,a2)))),
% 2.63/2.83 inference(scs_inference,[],[19,624,637,42,21,644,20,22,619,623,634,643,642,618,625,35,325,427,133,610,538,500,174,410,475,479,288,240,486,203,421,24,29,34,25,26,30,28,32,31,27,10,12,11,9])).
% 2.63/2.83 cnf(668,plain,
% 2.63/2.83 (~E(a3,f4(a7,f8(a1,a2)))),
% 2.63/2.83 inference(scs_inference,[],[19,624,637,42,21,644,20,22,619,623,634,643,642,618,625,35,325,427,133,610,538,500,174,410,475,479,79,288,380,559,547,240,486,203,421,386,24,29,34,25,26,30,28,32,31,27,10,12,11,9,14,13,3,2])).
% 2.63/2.83 cnf(672,plain,
% 2.63/2.83 (P1(f4(x6721,x6721),a3,f8(x6721,a3))),
% 2.63/2.83 inference(scs_inference,[],[19,624,637,42,21,644,653,20,22,619,623,634,643,649,642,618,625,35,325,427,133,610,538,500,174,410,622,475,479,603,79,288,380,559,547,240,486,203,421,386,24,29,34,25,26,30,28,32,31,27,10,12,11,9,14,13,3,2,83,33])).
% 2.63/2.83 cnf(678,plain,
% 2.63/2.83 (P2(f8(x6781,f5(a3)),f8(x6781,a3),f8(x6781,a3))),
% 2.63/2.83 inference(scs_inference,[],[646,24])).
% 2.63/2.83 cnf(681,plain,
% 2.63/2.83 (P2(x6811,x6812,f4(x6811,x6812))),
% 2.63/2.83 inference(rename_variables,[],[21])).
% 2.63/2.83 cnf(684,plain,
% 2.63/2.83 (~P2(f8(f5(a1),f4(a3,a3)),a7,f5(a6))),
% 2.63/2.83 inference(scs_inference,[],[40,21,640,646,662,589,24,34,25])).
% 2.63/2.83 cnf(686,plain,
% 2.63/2.83 (P1(f4(a3,a3),a3,f4(f8(a3,a3),f8(a3,a3)))),
% 2.63/2.83 inference(scs_inference,[],[40,21,681,640,646,662,672,589,48,24,34,25,33])).
% 2.63/2.83 cnf(688,plain,
% 2.63/2.83 (P2(x6881,x6882,f4(x6881,x6882))),
% 2.63/2.83 inference(rename_variables,[],[21])).
% 2.63/2.83 cnf(689,plain,
% 2.63/2.83 (P2(x6891,f4(a3,a3),x6891)),
% 2.63/2.83 inference(rename_variables,[],[48])).
% 2.63/2.83 cnf(691,plain,
% 2.63/2.83 (P2(f8(a3,a3),f8(f5(a3),f5(a3)),f8(a3,a3))),
% 2.63/2.83 inference(scs_inference,[],[19,40,21,681,22,640,646,662,621,672,589,48,24,34,25,33,32])).
% 2.63/2.83 cnf(694,plain,
% 2.63/2.83 (P2(x6941,f5(x6941),a3)),
% 2.63/2.83 inference(rename_variables,[],[19])).
% 2.63/2.83 cnf(695,plain,
% 2.63/2.83 (P1(x6951,x6952,f8(x6951,x6952))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(701,plain,
% 2.63/2.83 (P2(f8(f5(a3),a3),f8(a3,a3),f8(a3,a3))),
% 2.63/2.83 inference(scs_inference,[],[19,40,21,681,22,695,640,557,646,295,662,621,672,589,375,48,689,24,34,25,33,32,31,28])).
% 2.63/2.83 cnf(705,plain,
% 2.63/2.83 (P2(f4(x7051,a3),f5(a3),f4(x7051,a3))),
% 2.63/2.83 inference(scs_inference,[],[19,694,40,21,681,688,22,695,640,557,646,295,662,621,672,589,375,48,689,24,34,25,33,32,31,28,27])).
% 2.63/2.83 cnf(708,plain,
% 2.63/2.83 (P2(x7081,x7082,f4(x7081,x7082))),
% 2.63/2.83 inference(rename_variables,[],[21])).
% 2.63/2.83 cnf(710,plain,
% 2.63/2.83 (P2(f8(a1,a3),a6,f8(a1,a2))),
% 2.63/2.83 inference(scs_inference,[],[19,694,42,40,21,681,688,22,695,640,557,646,295,662,621,672,589,170,375,48,689,24,34,25,33,32,31,28,27,14])).
% 2.63/2.83 cnf(712,plain,
% 2.63/2.83 (E(f4(a3,x7121),x7121)),
% 2.63/2.83 inference(rename_variables,[],[486])).
% 2.63/2.83 cnf(713,plain,
% 2.63/2.83 (~E(a7,f5(f4(a3,a6)))),
% 2.63/2.83 inference(scs_inference,[],[19,694,42,40,21,681,688,708,22,695,640,614,557,646,341,295,662,621,672,589,170,375,486,48,689,24,34,25,33,32,31,28,27,14,10,12])).
% 2.63/2.83 cnf(720,plain,
% 2.63/2.83 (E(f4(a3,a6),f8(a1,a2))),
% 2.63/2.83 inference(scs_inference,[],[19,694,42,40,21,681,688,708,22,695,640,627,614,557,646,341,295,662,306,621,672,589,170,375,486,712,48,689,24,34,25,33,32,31,28,27,14,10,12,11,9,13,3])).
% 2.63/2.83 cnf(722,plain,
% 2.63/2.83 (E(f8(a1,a2),a6)),
% 2.63/2.83 inference(scs_inference,[],[19,694,42,40,21,681,688,708,22,695,640,627,614,557,646,341,295,662,306,621,672,589,170,375,486,712,48,689,24,34,25,33,32,31,28,27,14,10,12,11,9,13,3,2])).
% 2.63/2.83 cnf(736,plain,
% 2.63/2.83 (P2(x7361,x7362,f4(x7361,x7362))),
% 2.63/2.83 inference(rename_variables,[],[21])).
% 2.63/2.83 cnf(740,plain,
% 2.63/2.83 (P1(x7401,x7402,f8(x7401,x7402))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(744,plain,
% 2.63/2.83 (P1(x7441,x7442,f8(x7441,x7442))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(746,plain,
% 2.63/2.83 (E(f8(x7461,a3),f4(f8(x7461,a3),f8(x7461,a3)))),
% 2.63/2.83 inference(scs_inference,[],[20,21,22,740,744,511,553,109,319,477,167,19,24,25,34,29,26])).
% 2.63/2.83 cnf(748,plain,
% 2.63/2.83 (P1(x7481,x7482,f8(x7481,x7482))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(751,plain,
% 2.63/2.83 (P2(x7511,x7512,f4(x7511,x7512))),
% 2.63/2.83 inference(rename_variables,[],[21])).
% 2.63/2.83 cnf(752,plain,
% 2.63/2.83 (P2(f5(x7521),x7521,a3)),
% 2.63/2.83 inference(rename_variables,[],[20])).
% 2.63/2.83 cnf(753,plain,
% 2.63/2.83 (P1(x7531,x7532,f8(x7531,x7532))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(755,plain,
% 2.63/2.83 (P1(a3,f8(a3,a3),f8(f8(a3,a3),f5(a3)))),
% 2.63/2.83 inference(scs_inference,[],[20,21,736,22,740,744,748,753,511,553,109,319,621,477,167,97,19,24,25,34,29,26,33,30])).
% 2.63/2.83 cnf(758,plain,
% 2.63/2.83 (P1(x7581,x7582,f8(x7581,x7582))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(760,plain,
% 2.63/2.83 (P2(f8(f5(a1),f8(a2,a3)),f8(a7,x7601),f8(a7,x7601))),
% 2.63/2.83 inference(scs_inference,[],[20,21,736,22,740,744,748,753,758,511,553,109,410,319,621,477,167,97,19,24,25,34,29,26,33,30,31])).
% 2.63/2.83 cnf(762,plain,
% 2.63/2.83 (P1(x7621,x7622,f8(x7621,x7622))),
% 2.63/2.83 inference(rename_variables,[],[22])).
% 2.63/2.83 cnf(764,plain,
% 2.63/2.83 (P2(f5(a3),f4(a3,x7641),f4(a3,x7641))),
% 2.63/2.83 inference(scs_inference,[],[20,752,21,736,751,22,740,744,748,753,758,511,553,109,410,319,621,477,167,97,19,24,25,34,29,26,33,30,31,28])).
% 2.63/2.83 cnf(766,plain,
% 2.63/2.83 (P2(f5(x7661),x7661,a3)),
% 2.63/2.83 inference(rename_variables,[],[20])).
% 2.63/2.83 cnf(769,plain,
% 2.63/2.83 (~P2(x7691,f4(a6,a7),x7691)),
% 2.63/2.83 inference(scs_inference,[],[20,752,766,21,736,751,22,740,744,748,753,758,511,353,553,109,410,319,621,477,167,97,19,24,25,34,29,26,33,30,31,28,27])).
% 2.63/2.83 cnf(771,plain,
% 2.63/2.83 (P2(f8(a3,x7711),f8(a3,x7711),f4(f8(a3,x7711),a3))),
% 2.63/2.83 inference(scs_inference,[],[20,752,766,45,21,736,751,22,740,744,748,753,758,343,511,353,553,109,410,319,621,477,167,97,19,24,25,34,29,26,33,30,31,28,27,14])).
% 2.63/2.83 cnf(772,plain,
% 2.63/2.83 (E(x7721,f4(x7721,a3))),
% 2.63/2.83 inference(rename_variables,[],[45])).
% 2.63/2.83 cnf(773,plain,
% 2.63/2.83 (P1(x7731,f4(x7732,a3),f8(x7731,x7732))),
% 2.63/2.83 inference(scs_inference,[],[20,752,766,45,772,21,736,751,22,740,744,748,753,758,762,343,511,353,553,109,410,319,621,477,167,97,19,24,25,34,29,26,33,30,31,28,27,14,10])).
% 2.63/2.83 cnf(774,plain,
% 2.63/2.83 (E(x7741,f4(x7741,a3))),
% 2.63/2.83 inference(rename_variables,[],[45])).
% 2.63/2.83 cnf(775,plain,
% 2.63/2.83 (P2(f4(f5(x7751),a3),x7751,a3)),
% 2.63/2.83 inference(scs_inference,[],[20,752,766,45,772,774,21,736,751,22,740,744,748,753,758,762,343,511,353,553,109,410,319,621,477,167,97,19,24,25,34,29,26,33,30,31,28,27,14,10,12])).
% 2.63/2.83 cnf(776,plain,
% 2.63/2.83 (E(x7761,f4(x7761,a3))),
% 2.63/2.83 inference(rename_variables,[],[45])).
% 2.63/2.83 cnf(777,plain,
% 2.63/2.83 (P1(x7771,x7772,f4(f8(x7771,x7772),a3))),
% 2.63/2.83 inference(scs_inference,[],[20,752,766,45,772,774,776,21,736,751,22,740,744,748,753,758,762,343,511,353,553,109,410,319,621,477,167,97,19,24,25,34,29,26,33,30,31,28,27,14,10,12,11])).
% 2.63/2.83 cnf(778,plain,
% 2.63/2.83 (E(x7781,f4(x7781,a3))),
% 2.63/2.83 inference(rename_variables,[],[45])).
% 2.63/2.83 cnf(780,plain,
% 2.63/2.83 (E(x7801,f4(x7801,a3))),
% 2.63/2.83 inference(rename_variables,[],[45])).
% 2.63/2.83 cnf(781,plain,
% 2.63/2.83 (P1(f4(x7811,a3),x7812,f8(x7811,x7812))),
% 2.63/2.83 inference(scs_inference,[],[20,752,766,36,45,772,774,776,778,780,21,736,751,22,740,744,748,753,758,762,343,511,353,553,109,410,319,621,477,167,97,19,24,25,34,29,26,33,30,31,28,27,14,10,12,11,3,9])).
% 2.63/2.83 cnf(782,plain,
% 2.63/2.83 (E(x7821,f4(x7821,a3))),
% 2.63/2.83 inference(rename_variables,[],[45])).
% 2.63/2.83 cnf(783,plain,
% 2.63/2.83 (P2(f5(x7831),f4(x7831,a3),a3)),
% 2.63/2.83 inference(scs_inference,[],[20,752,766,36,45,772,774,776,778,780,782,21,736,751,22,740,744,748,753,758,762,343,511,353,553,109,410,319,621,477,167,97,19,24,25,34,29,26,33,30,31,28,27,14,10,12,11,3,9,13])).
% 2.63/2.83 cnf(785,plain,
% 2.63/2.83 (~E(f4(a7,a6),f5(a3))),
% 2.63/2.83 inference(scs_inference,[],[20,752,766,36,45,772,774,776,778,780,782,21,736,751,22,740,744,748,753,758,762,343,511,353,541,553,109,410,319,621,477,167,97,19,24,25,34,29,26,33,30,31,28,27,14,10,12,11,3,9,13,2])).
% 2.63/2.83 cnf(786,plain,
% 2.63/2.83 (E(f5(x7861),f5(f4(x7861,a3)))),
% 2.63/2.83 inference(scs_inference,[],[20,752,766,36,45,772,774,776,778,780,782,21,736,751,22,740,744,748,753,758,762,343,511,353,541,553,109,410,319,621,477,167,97,19,24,25,34,29,26,33,30,31,28,27,14,10,12,11,3,9,13,2,4])).
% 2.63/2.83 cnf(787,plain,
% 2.63/2.83 (E(f4(x7871,x7872),f4(f4(x7871,a3),x7872))),
% 2.63/2.83 inference(scs_inference,[],[20,752,766,36,45,772,774,776,778,780,782,21,736,751,22,740,744,748,753,758,762,343,511,353,541,553,109,410,319,621,477,167,97,19,24,25,34,29,26,33,30,31,28,27,14,10,12,11,3,9,13,2,4,7])).
% 2.63/2.83 cnf(788,plain,
% 2.63/2.83 (E(f4(x7881,x7882),f4(x7881,f4(x7882,a3)))),
% 2.63/2.83 inference(scs_inference,[],[20,752,766,36,45,772,774,776,778,780,782,21,736,751,22,740,744,748,753,758,762,343,511,353,541,553,109,410,319,621,477,167,97,19,24,25,34,29,26,33,30,31,28,27,14,10,12,11,3,9,13,2,4,7,8])).
% 2.63/2.83 cnf(789,plain,
% 2.63/2.83 (E(f8(x7891,x7892),f8(x7891,f4(x7892,a3)))),
% 2.63/2.83 inference(scs_inference,[],[20,752,766,36,45,772,774,776,778,780,782,21,736,751,22,740,744,748,753,758,762,343,511,353,541,553,109,410,319,621,477,167,97,19,24,25,34,29,26,33,30,31,28,27,14,10,12,11,3,9,13,2,4,7,8,6])).
% 2.63/2.83 cnf(790,plain,
% 2.63/2.83 (E(f8(x7901,x7902),f8(f4(x7901,a3),x7902))),
% 2.63/2.83 inference(scs_inference,[],[20,752,766,36,45,772,774,776,778,780,782,21,736,751,22,740,744,748,753,758,762,343,511,353,541,553,109,410,319,621,477,167,97,19,24,25,34,29,26,33,30,31,28,27,14,10,12,11,3,9,13,2,4,7,8,6,5])).
% 2.63/2.83 cnf(795,plain,
% 2.63/2.83 (P2(f8(f5(a3),f5(a3)),f8(a3,a3),f8(a3,a3))),
% 2.63/2.83 inference(scs_inference,[],[691,24])).
% 2.63/2.83 cnf(797,plain,
% 2.63/2.83 (P1(x7971,f4(x7972,x7972),f4(f8(x7971,x7972),f8(x7971,x7972)))),
% 2.63/2.83 inference(scs_inference,[],[21,22,691,95,24,34])).
% 2.63/2.83 cnf(799,plain,
% 2.63/2.83 (P2(x7991,x7992,f4(x7991,x7992))),
% 2.63/2.83 inference(rename_variables,[],[21])).
% 2.63/2.83 cnf(801,plain,
% 2.63/2.83 (~P2(f5(x8011),x8011,f4(a7,f8(a1,a2)))),
% 2.63/2.83 inference(scs_inference,[],[20,21,22,691,668,95,24,34,25])).
% 2.63/2.83 cnf(804,plain,
% 2.63/2.83 (P1(x8041,f4(x8042,a3),f8(x8041,x8042))),
% 2.63/2.84 inference(rename_variables,[],[773])).
% 2.63/2.84 cnf(806,plain,
% 2.63/2.84 (P1(x8061,a6,f8(f8(x8061,a1),a2))),
% 2.63/2.84 inference(scs_inference,[],[20,21,22,691,773,804,668,471,238,95,24,34,25,26,30])).
% 2.63/2.84 cnf(807,plain,
% 2.63/2.84 (P1(x8071,x8072,f8(x8071,x8072))),
% 2.63/2.84 inference(rename_variables,[],[22])).
% 2.63/2.84 cnf(808,plain,
% 2.63/2.84 (P1(x8081,f4(x8082,a3),f8(x8081,x8082))),
% 2.63/2.84 inference(rename_variables,[],[773])).
% 2.63/2.84 cnf(810,plain,
% 2.63/2.84 (~P1(f8(f5(a3),f5(a3)),x8101,f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[20,21,22,807,691,769,773,804,668,471,238,95,24,34,25,26,30,32])).
% 2.63/2.84 cnf(811,plain,
% 2.63/2.84 (P1(x8111,x8112,f8(x8111,x8112))),
% 2.63/2.84 inference(rename_variables,[],[22])).
% 2.63/2.84 cnf(812,plain,
% 2.63/2.84 (~P2(x8121,f4(a6,a7),x8121)),
% 2.63/2.84 inference(rename_variables,[],[769])).
% 2.63/2.84 cnf(813,plain,
% 2.63/2.84 (P1(x8131,x8132,f8(x8131,x8132))),
% 2.63/2.84 inference(rename_variables,[],[22])).
% 2.63/2.84 cnf(815,plain,
% 2.63/2.84 (~P2(x8151,f4(a3,f5(x8151)),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[20,21,22,807,691,769,812,773,804,668,471,477,238,95,24,34,25,26,30,32,28])).
% 2.63/2.84 cnf(816,plain,
% 2.63/2.84 (~P2(x8161,f4(a6,a7),x8161)),
% 2.63/2.84 inference(rename_variables,[],[769])).
% 2.63/2.84 cnf(820,plain,
% 2.63/2.84 (P2(f5(x8201),x8201,a3)),
% 2.63/2.84 inference(rename_variables,[],[20])).
% 2.63/2.84 cnf(821,plain,
% 2.63/2.84 (~P2(x8211,f4(a6,a7),x8211)),
% 2.63/2.84 inference(rename_variables,[],[769])).
% 2.63/2.84 cnf(824,plain,
% 2.63/2.84 (~P1(x8241,a3,f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[20,820,21,799,22,807,813,691,769,812,816,821,773,804,668,471,621,477,238,95,24,34,25,26,30,32,28,27,31])).
% 2.63/2.84 cnf(825,plain,
% 2.63/2.84 (~P2(x8251,f4(a6,a7),x8251)),
% 2.63/2.84 inference(rename_variables,[],[769])).
% 2.63/2.84 cnf(827,plain,
% 2.63/2.84 (P1(x8271,x8272,f8(x8271,x8272))),
% 2.63/2.84 inference(rename_variables,[],[22])).
% 2.63/2.84 cnf(830,plain,
% 2.63/2.84 (E(x8301,f4(x8301,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(832,plain,
% 2.63/2.84 (~P2(f4(x8321,a3),f4(a6,a7),x8321)),
% 2.63/2.84 inference(scs_inference,[],[20,820,45,830,21,799,22,807,813,691,787,769,812,816,821,825,773,804,668,471,621,477,238,95,24,34,25,26,30,32,28,27,31,3,14])).
% 2.63/2.84 cnf(833,plain,
% 2.63/2.84 (~P2(x8331,f4(a6,a7),x8331)),
% 2.63/2.84 inference(rename_variables,[],[769])).
% 2.63/2.84 cnf(834,plain,
% 2.63/2.84 (P1(f8(x8341,x8341),f4(x8341,a3),f8(f4(x8341,a3),f8(x8341,x8341)))),
% 2.63/2.84 inference(scs_inference,[],[20,820,45,830,21,799,22,807,813,691,616,787,769,812,816,821,825,773,804,668,471,621,477,238,95,24,34,25,26,30,32,28,27,31,3,14,10])).
% 2.63/2.84 cnf(836,plain,
% 2.63/2.84 (~P2(x8361,f4(a6,a7),f4(x8361,a3))),
% 2.63/2.84 inference(scs_inference,[],[20,820,45,830,21,799,22,807,813,691,616,787,769,812,816,821,825,833,773,804,668,471,621,477,238,95,24,34,25,26,30,32,28,27,31,3,14,10,12])).
% 2.63/2.84 cnf(838,plain,
% 2.63/2.84 (~E(f8(f5(a1),a2),f5(a6))),
% 2.63/2.84 inference(scs_inference,[],[20,820,45,830,21,799,22,807,813,389,691,616,787,769,812,816,821,825,833,773,804,781,668,471,621,477,238,95,24,34,25,26,30,32,28,27,31,3,14,10,12,11])).
% 2.63/2.84 cnf(840,plain,
% 2.63/2.84 (P1(f4(x8401,a3),f8(x8401,x8401),f8(f8(x8401,x8401),x8401))),
% 2.63/2.84 inference(scs_inference,[],[20,820,45,830,21,799,22,807,813,336,389,691,616,787,769,812,816,821,825,833,773,804,781,668,471,621,477,238,95,24,34,25,26,30,32,28,27,31,3,14,10,12,11,9])).
% 2.63/2.84 cnf(842,plain,
% 2.63/2.84 (~P2(f8(a3,a2),f8(a1,a2),f4(f5(a7),a3))),
% 2.63/2.84 inference(scs_inference,[],[20,820,45,830,21,799,22,807,813,336,389,691,616,787,769,812,816,821,825,833,773,804,781,257,722,668,471,621,477,238,95,24,34,25,26,30,32,28,27,31,3,14,10,12,11,9,13])).
% 2.63/2.84 cnf(843,plain,
% 2.63/2.84 (E(f8(x8431,x8432),f8(x8431,f4(a3,x8432)))),
% 2.63/2.84 inference(scs_inference,[],[20,820,45,830,21,799,22,807,813,336,389,691,616,548,787,769,812,816,821,825,833,773,804,781,257,722,668,471,621,477,238,95,24,34,25,26,30,32,28,27,31,3,14,10,12,11,9,13,2])).
% 2.63/2.84 cnf(844,plain,
% 2.63/2.84 (P1(a1,f8(a2,x8441),f8(a6,f4(x8441,a3)))),
% 2.63/2.84 inference(scs_inference,[],[20,820,45,830,21,799,22,807,813,336,389,691,616,548,787,769,812,816,821,825,833,773,804,808,781,257,722,668,471,621,477,238,95,24,34,25,26,30,32,28,27,31,3,14,10,12,11,9,13,2,80])).
% 2.63/2.84 cnf(845,plain,
% 2.63/2.84 (P1(x8451,f4(x8452,a3),f8(x8451,x8452))),
% 2.63/2.84 inference(rename_variables,[],[773])).
% 2.63/2.84 cnf(847,plain,
% 2.63/2.84 (P1(f8(x8471,x8472),f4(x8473,a3),f8(x8471,f8(x8472,x8473)))),
% 2.63/2.84 inference(scs_inference,[],[20,820,45,830,21,799,22,807,813,827,811,336,389,691,616,548,787,769,812,816,821,825,833,773,804,808,845,781,257,722,668,471,621,477,238,95,24,34,25,26,30,32,28,27,31,3,14,10,12,11,9,13,2,80,29])).
% 2.63/2.84 cnf(855,plain,
% 2.63/2.84 (~P2(f8(a1,a2),f8(a3,a2),f4(f5(a7),a3))),
% 2.63/2.84 inference(scs_inference,[],[842,24])).
% 2.63/2.84 cnf(857,plain,
% 2.63/2.84 (~P2(a6,f4(a3,a3),f5(a7))),
% 2.63/2.84 inference(scs_inference,[],[48,38,842,24,25])).
% 2.63/2.84 cnf(858,plain,
% 2.63/2.84 (P2(x8581,f4(a3,a3),x8581)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(860,plain,
% 2.63/2.84 (P1(f4(f5(a1),a3),f4(a2,a2),f4(a7,a7))),
% 2.63/2.84 inference(scs_inference,[],[21,48,38,842,101,95,24,25,34])).
% 2.63/2.84 cnf(861,plain,
% 2.63/2.84 (P2(x8611,x8612,f4(x8611,x8612))),
% 2.63/2.84 inference(rename_variables,[],[21])).
% 2.63/2.84 cnf(864,plain,
% 2.63/2.84 (P1(f8(x8641,x8642),x8643,f8(x8641,f8(x8642,x8643)))),
% 2.63/2.84 inference(scs_inference,[],[21,48,38,22,842,777,773,101,95,24,25,34,29])).
% 2.63/2.84 cnf(866,plain,
% 2.63/2.84 (P1(x8661,x8662,f8(x8661,x8662))),
% 2.63/2.84 inference(rename_variables,[],[22])).
% 2.63/2.84 cnf(868,plain,
% 2.63/2.84 (~P2(f8(x8681,a3),f8(x8681,a3),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[21,861,48,38,22,866,842,777,824,773,101,95,24,25,34,29,33])).
% 2.63/2.84 cnf(870,plain,
% 2.63/2.84 (P2(x8701,x8702,f4(x8701,x8702))),
% 2.63/2.84 inference(rename_variables,[],[21])).
% 2.63/2.84 cnf(871,plain,
% 2.63/2.84 (P1(x8711,x8712,f8(x8711,x8712))),
% 2.63/2.84 inference(rename_variables,[],[22])).
% 2.63/2.84 cnf(872,plain,
% 2.63/2.84 (P1(x8721,x8722,f8(x8721,x8722))),
% 2.63/2.84 inference(rename_variables,[],[22])).
% 2.63/2.84 cnf(875,plain,
% 2.63/2.84 (P1(x8751,x8752,f8(x8751,x8752))),
% 2.63/2.84 inference(rename_variables,[],[22])).
% 2.63/2.84 cnf(876,plain,
% 2.63/2.84 (P2(x8761,x8762,f4(x8761,x8762))),
% 2.63/2.84 inference(rename_variables,[],[21])).
% 2.63/2.84 cnf(877,plain,
% 2.63/2.84 (P1(x8771,x8772,f8(x8771,x8772))),
% 2.63/2.84 inference(rename_variables,[],[22])).
% 2.63/2.84 cnf(879,plain,
% 2.63/2.84 (~P2(f5(a6),f4(a3,a3),a7)),
% 2.63/2.84 inference(scs_inference,[],[21,861,870,48,858,38,35,22,866,872,871,842,777,824,773,101,95,19,24,25,34,29,33,32,28])).
% 2.63/2.84 cnf(880,plain,
% 2.63/2.84 (P2(x8801,f4(a3,a3),x8801)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(885,plain,
% 2.63/2.84 (P2(x8851,x8852,f4(x8851,x8852))),
% 2.63/2.84 inference(rename_variables,[],[21])).
% 2.63/2.84 cnf(888,plain,
% 2.63/2.84 (P2(f8(x8881,x8882),f8(x8881,x8882),f8(x8881,f4(x8882,x8882)))),
% 2.63/2.84 inference(scs_inference,[],[21,861,870,876,885,48,858,880,38,35,22,866,872,875,871,877,842,801,777,824,773,101,95,19,24,25,34,29,33,32,28,27,31])).
% 2.63/2.84 cnf(889,plain,
% 2.63/2.84 (P2(x8891,x8892,f4(x8891,x8892))),
% 2.63/2.84 inference(rename_variables,[],[21])).
% 2.63/2.84 cnf(894,plain,
% 2.63/2.84 (~E(f4(f5(a7),f5(a3)),a6)),
% 2.63/2.84 inference(scs_inference,[],[21,861,870,876,885,48,858,880,38,45,35,22,866,872,875,871,877,842,801,777,433,824,773,101,95,19,24,25,34,29,33,32,28,27,31,3])).
% 2.63/2.84 cnf(895,plain,
% 2.63/2.84 (E(x8951,f4(x8951,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(896,plain,
% 2.63/2.84 (P2(x8961,x8962,f4(f4(x8961,x8962),a3))),
% 2.63/2.84 inference(scs_inference,[],[21,861,870,876,885,889,48,858,880,38,45,895,35,22,866,872,875,871,877,842,801,777,433,824,773,101,95,19,24,25,34,29,33,32,28,27,31,3,14])).
% 2.63/2.84 cnf(902,plain,
% 2.63/2.84 (~E(f4(a3,f5(a7)),a6)),
% 2.63/2.84 inference(scs_inference,[],[21,861,870,876,885,889,48,858,880,38,45,895,35,22,866,872,875,871,877,842,801,777,458,574,433,824,467,546,773,101,486,95,19,24,25,34,29,33,32,28,27,31,3,14,10,9,12])).
% 2.63/2.84 cnf(904,plain,
% 2.63/2.84 (~P1(f4(a1,a3),f4(a3,a2),f5(f4(a3,a7)))),
% 2.63/2.84 inference(scs_inference,[],[21,861,870,876,885,889,48,858,880,38,45,895,35,22,866,872,875,871,877,842,801,777,458,574,433,536,824,467,546,773,101,550,486,95,19,24,25,34,29,33,32,28,27,31,3,14,10,9,12,11])).
% 2.63/2.84 cnf(908,plain,
% 2.63/2.84 (~E(a3,f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[21,861,870,876,885,889,48,858,880,38,45,895,35,22,866,872,875,871,877,842,801,178,777,458,605,574,433,536,824,467,597,546,773,101,550,486,95,19,24,25,34,29,33,32,28,27,31,3,14,10,9,12,11,13,2])).
% 2.63/2.84 cnf(917,plain,
% 2.63/2.84 (P2(f8(a3,a3),f8(f5(a3),a3),f8(a3,a3))),
% 2.63/2.84 inference(scs_inference,[],[701,24])).
% 2.63/2.84 cnf(919,plain,
% 2.63/2.84 (P1(a3,f4(f4(a3,a3),a3),f8(a3,a3))),
% 2.63/2.84 inference(scs_inference,[],[21,22,797,440,701,24,34])).
% 2.63/2.84 cnf(920,plain,
% 2.63/2.84 (P1(x9201,x9202,f8(x9201,x9202))),
% 2.63/2.84 inference(rename_variables,[],[22])).
% 2.63/2.84 cnf(921,plain,
% 2.63/2.84 (P2(x9211,x9212,f4(x9211,x9212))),
% 2.63/2.84 inference(rename_variables,[],[21])).
% 2.63/2.84 cnf(924,plain,
% 2.63/2.84 (E(f4(x9241,f4(a3,a3)),x9241)),
% 2.63/2.84 inference(scs_inference,[],[21,921,48,22,797,440,701,24,34,25])).
% 2.63/2.84 cnf(925,plain,
% 2.63/2.84 (P2(x9251,f4(a3,a3),x9251)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(926,plain,
% 2.63/2.84 (P2(x9261,x9262,f4(x9261,x9262))),
% 2.63/2.84 inference(rename_variables,[],[21])).
% 2.63/2.84 cnf(931,plain,
% 2.63/2.84 (P1(x9311,x9312,f8(x9311,x9312))),
% 2.63/2.84 inference(rename_variables,[],[22])).
% 2.63/2.84 cnf(935,plain,
% 2.63/2.84 (P1(x9351,x9352,f8(x9351,x9352))),
% 2.63/2.84 inference(rename_variables,[],[22])).
% 2.63/2.84 cnf(937,plain,
% 2.63/2.84 (P1(f4(x9371,x9371),x9372,f8(x9371,f4(x9372,x9372)))),
% 2.63/2.84 inference(scs_inference,[],[21,921,926,48,22,920,931,935,797,888,440,810,701,806,24,34,25,29,26,33])).
% 2.63/2.84 cnf(938,plain,
% 2.63/2.84 (P2(x9381,x9382,f4(x9381,x9382))),
% 2.63/2.84 inference(rename_variables,[],[21])).
% 2.63/2.84 cnf(939,plain,
% 2.63/2.84 (P1(x9391,x9392,f8(x9391,x9392))),
% 2.63/2.84 inference(rename_variables,[],[22])).
% 2.63/2.84 cnf(940,plain,
% 2.63/2.84 (P1(x9401,x9402,f8(x9401,x9402))),
% 2.63/2.84 inference(rename_variables,[],[22])).
% 2.63/2.84 cnf(942,plain,
% 2.63/2.84 (P2(f8(f4(a3,a3),f4(a2,a2)),f4(a7,a7),f4(a7,a7))),
% 2.63/2.84 inference(scs_inference,[],[21,921,926,48,22,920,931,935,940,797,888,440,860,810,701,806,203,24,34,25,29,26,33,32])).
% 2.63/2.84 cnf(944,plain,
% 2.63/2.84 (P1(x9441,x9442,f8(x9441,x9442))),
% 2.63/2.84 inference(rename_variables,[],[22])).
% 2.63/2.84 cnf(946,plain,
% 2.63/2.84 (P2(f8(f5(a1),a3),f8(a7,x9461),f8(a7,x9461))),
% 2.63/2.84 inference(scs_inference,[],[21,921,926,48,22,920,931,935,940,797,888,440,860,810,701,760,806,410,203,24,34,25,29,26,33,32,28])).
% 2.63/2.84 cnf(949,plain,
% 2.63/2.84 (P2(x9491,f5(a3),f4(x9491,a3))),
% 2.63/2.84 inference(scs_inference,[],[21,921,926,938,48,925,22,920,931,935,940,797,888,440,860,810,701,760,607,806,410,203,24,34,25,29,26,33,32,28,27])).
% 2.63/2.84 cnf(951,plain,
% 2.63/2.84 (P2(x9511,x9512,f4(x9511,x9512))),
% 2.63/2.84 inference(rename_variables,[],[21])).
% 2.63/2.84 cnf(953,plain,
% 2.63/2.84 (P2(f8(x9531,x9532),f8(x9531,f4(a3,a3)),f8(x9531,x9532))),
% 2.63/2.84 inference(scs_inference,[],[21,921,926,938,48,925,22,920,931,935,940,944,939,797,888,440,860,810,701,760,607,806,410,203,24,34,25,29,26,33,32,28,27,31])).
% 2.63/2.84 cnf(956,plain,
% 2.63/2.84 (P1(x9561,x9562,f8(x9561,x9562))),
% 2.63/2.84 inference(rename_variables,[],[22])).
% 2.63/2.84 cnf(958,plain,
% 2.63/2.84 (P1(x9581,x9582,f8(x9581,f4(a3,x9582)))),
% 2.63/2.84 inference(scs_inference,[],[21,921,926,938,48,925,22,920,931,935,940,944,956,939,797,888,440,860,810,843,701,760,607,806,410,203,24,34,25,29,26,33,32,28,27,31,11])).
% 2.63/2.84 cnf(961,plain,
% 2.63/2.84 (E(x9611,f4(x9611,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(962,plain,
% 2.63/2.84 (~E(f8(x9621,f4(a3,a3)),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[21,921,926,938,48,925,40,45,22,920,931,935,940,944,956,939,797,888,440,860,810,843,701,868,760,607,806,410,203,24,34,25,29,26,33,32,28,27,31,11,3,14])).
% 2.63/2.84 cnf(964,plain,
% 2.63/2.84 (P1(f8(a1,a2),x9641,f8(f4(a3,a6),x9641))),
% 2.63/2.84 inference(scs_inference,[],[21,921,926,938,48,925,40,45,22,920,931,935,940,944,956,939,797,888,440,860,810,720,843,701,868,760,607,806,410,203,24,34,25,29,26,33,32,28,27,31,11,3,14,9])).
% 2.63/2.84 cnf(965,plain,
% 2.63/2.84 (P1(x9651,x9652,f8(x9651,x9652))),
% 2.63/2.84 inference(rename_variables,[],[22])).
% 2.63/2.84 cnf(966,plain,
% 2.63/2.84 (P1(x9661,f8(a1,a2),f8(x9661,f4(a3,a6)))),
% 2.63/2.84 inference(scs_inference,[],[21,921,926,938,48,925,40,45,22,920,931,935,940,944,956,965,939,797,888,440,860,810,720,843,701,868,760,607,806,410,203,24,34,25,29,26,33,32,28,27,31,11,3,14,9,10])).
% 2.63/2.84 cnf(968,plain,
% 2.63/2.84 (P2(f4(x9681,a3),x9682,f4(x9681,x9682))),
% 2.63/2.84 inference(scs_inference,[],[21,921,926,938,951,48,925,40,45,961,22,920,931,935,940,944,956,965,939,797,888,440,860,810,720,843,701,868,760,607,806,410,203,24,34,25,29,26,33,32,28,27,31,11,3,14,9,10,12])).
% 2.63/2.84 cnf(969,plain,
% 2.63/2.84 (P2(x9691,x9692,f4(x9691,x9692))),
% 2.63/2.84 inference(rename_variables,[],[21])).
% 2.63/2.84 cnf(970,plain,
% 2.63/2.84 (P2(x9701,f4(x9702,a3),f4(x9701,x9702))),
% 2.63/2.84 inference(scs_inference,[],[21,921,926,938,951,969,48,925,40,45,961,22,920,931,935,940,944,956,965,939,797,888,440,860,810,720,843,701,868,760,607,806,410,203,24,34,25,29,26,33,32,28,27,31,11,3,14,9,10,12,13])).
% 2.63/2.84 cnf(972,plain,
% 2.63/2.84 (E(f8(x9721,x9722),f8(f4(a3,x9721),x9722))),
% 2.63/2.84 inference(scs_inference,[],[21,921,926,938,951,969,48,925,40,45,961,22,920,931,935,940,944,956,965,939,797,888,440,860,810,720,549,843,701,868,760,607,806,410,203,24,34,25,29,26,33,32,28,27,31,11,3,14,9,10,12,13,2])).
% 2.63/2.84 cnf(977,plain,
% 2.63/2.84 (~P2(f4(a3,f5(x9771)),x9771,f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[815,24])).
% 2.63/2.84 cnf(979,plain,
% 2.63/2.84 (~P2(f4(a7,a6),f4(a3,a3),a3)),
% 2.63/2.84 inference(scs_inference,[],[36,48,815,24,25])).
% 2.63/2.84 cnf(980,plain,
% 2.63/2.84 (P2(x9801,f4(a3,a3),x9801)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(982,plain,
% 2.63/2.84 (~P2(f8(a7,a3),f8(f5(a1),f8(a2,a3)),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[22,36,48,980,815,563,824,24,25,34])).
% 2.63/2.84 cnf(984,plain,
% 2.63/2.84 (~P1(x9841,a3,f4(a6,a7))),
% 2.63/2.84 inference(rename_variables,[],[824])).
% 2.63/2.84 cnf(985,plain,
% 2.63/2.84 (P2(x9851,f4(a3,a3),x9851)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(986,plain,
% 2.63/2.84 (P1(x9861,x9862,f8(x9861,x9862))),
% 2.63/2.84 inference(rename_variables,[],[22])).
% 2.63/2.84 cnf(988,plain,
% 2.63/2.84 (~P1(x9881,f4(a3,a3),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[22,986,36,48,980,962,815,563,824,24,25,34,26])).
% 2.63/2.84 cnf(989,plain,
% 2.63/2.84 (P1(x9891,x9892,f8(x9891,x9892))),
% 2.63/2.84 inference(rename_variables,[],[22])).
% 2.63/2.84 cnf(995,plain,
% 2.63/2.84 (P1(f4(a3,a1),f8(a2,x9951),f8(f4(a3,a6),x9951))),
% 2.63/2.84 inference(scs_inference,[],[22,986,989,36,48,980,964,962,896,815,563,475,824,238,95,24,25,34,26,33,30])).
% 2.63/2.84 cnf(996,plain,
% 2.63/2.84 (P1(f8(a1,a2),x9961,f8(f4(a3,a6),x9961))),
% 2.63/2.84 inference(rename_variables,[],[964])).
% 2.63/2.84 cnf(997,plain,
% 2.63/2.84 (P1(x9971,x9972,f8(x9971,x9972))),
% 2.63/2.84 inference(rename_variables,[],[22])).
% 2.63/2.84 cnf(1000,plain,
% 2.63/2.84 (P2(f8(x10001,x10002),f8(a3,f4(x10002,x10002)),f8(x10001,x10002))),
% 2.63/2.84 inference(scs_inference,[],[22,986,989,997,36,48,980,985,937,964,962,896,815,563,475,824,238,95,24,25,34,26,33,30,32])).
% 2.63/2.84 cnf(1001,plain,
% 2.63/2.84 (P1(f4(x10011,x10011),x10012,f8(x10011,f4(x10012,x10012)))),
% 2.63/2.84 inference(rename_variables,[],[937])).
% 2.63/2.84 cnf(1002,plain,
% 2.63/2.84 (P2(x10021,f4(a3,a3),x10021)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1004,plain,
% 2.63/2.84 (~P1(x10041,f5(a3),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[22,986,989,997,36,48,980,985,937,964,962,896,815,563,769,475,824,607,773,238,95,24,25,34,26,33,30,32,31])).
% 2.63/2.84 cnf(1010,plain,
% 2.63/2.84 (~P2(x10101,f5(x10101),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[22,986,989,997,36,48,980,985,1002,937,964,962,896,968,815,563,769,475,824,607,773,238,95,24,25,34,26,33,30,32,31,28])).
% 2.63/2.84 cnf(1012,plain,
% 2.63/2.84 (P2(x10121,f4(a3,a3),x10121)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1014,plain,
% 2.63/2.84 (~P2(f4(a3,a3),f4(a3,f5(a6)),f4(a7,a3))),
% 2.63/2.84 inference(scs_inference,[],[22,986,989,997,36,48,980,985,1002,1012,937,964,962,896,968,970,815,563,769,475,824,607,773,238,95,24,25,34,26,33,30,32,31,28,27])).
% 2.63/2.84 cnf(1019,plain,
% 2.63/2.84 (P1(f4(x10191,x10191),f4(x10192,a3),f8(x10191,f4(x10192,x10192)))),
% 2.63/2.84 inference(scs_inference,[],[22,986,989,997,36,48,980,985,1002,1012,45,937,1001,964,962,896,968,970,815,563,769,475,824,607,773,238,95,24,25,34,26,33,30,32,31,28,27,10])).
% 2.63/2.84 cnf(1021,plain,
% 2.63/2.84 (~E(f8(f4(a3,a6),a3),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[22,986,989,997,36,48,980,985,1002,1012,45,937,1001,964,996,962,896,968,970,815,563,769,475,824,984,607,773,238,95,24,25,34,26,33,30,32,31,28,27,10,11])).
% 2.63/2.84 cnf(1024,plain,
% 2.63/2.84 (E(x10241,f4(x10241,f4(a3,a3)))),
% 2.63/2.84 inference(scs_inference,[],[22,986,989,997,36,48,980,985,1002,1012,45,937,1001,964,996,962,788,896,968,970,815,563,769,475,824,984,607,773,238,95,24,25,34,26,33,30,32,31,28,27,10,11,3])).
% 2.63/2.84 cnf(1025,plain,
% 2.63/2.84 (E(x10251,f4(x10251,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1028,plain,
% 2.63/2.84 (E(f4(x10281,f4(a3,a3)),x10281)),
% 2.63/2.84 inference(rename_variables,[],[924])).
% 2.63/2.84 cnf(1029,plain,
% 2.63/2.84 (P1(f4(x10291,a3),f8(a1,a2),f8(x10291,f4(a3,a6)))),
% 2.63/2.84 inference(scs_inference,[],[22,986,989,997,51,36,48,980,985,1002,1012,45,1025,937,1001,924,964,996,966,962,788,896,968,970,815,563,769,475,824,984,607,773,238,95,24,25,34,26,33,30,32,31,28,27,10,11,3,14,9])).
% 2.63/2.84 cnf(1032,plain,
% 2.63/2.84 (E(f4(x10321,f4(a3,a3)),x10321)),
% 2.63/2.84 inference(rename_variables,[],[924])).
% 2.63/2.84 cnf(1035,plain,
% 2.63/2.84 (~E(f4(a6,a7),f8(x10351,f4(a3,a3)))),
% 2.63/2.84 inference(scs_inference,[],[22,986,989,997,51,36,48,980,985,1002,1012,45,1025,937,1001,924,1028,1032,964,996,966,962,788,896,968,970,815,563,769,475,824,984,607,773,238,95,24,25,34,26,33,30,32,31,28,27,10,11,3,14,9,12,13,2])).
% 2.63/2.84 cnf(1036,plain,
% 2.63/2.84 (E(f8(x10361,f4(x10362,a3)),f8(x10361,x10362))),
% 2.63/2.84 inference(scs_inference,[],[22,986,989,997,51,36,48,980,985,1002,1012,45,1025,937,1001,924,1028,1032,964,996,966,962,788,896,968,970,815,563,769,475,824,984,607,773,238,95,130,24,25,34,26,33,30,32,31,28,27,10,11,3,14,9,12,13,2,6])).
% 2.63/2.84 cnf(1038,plain,
% 2.63/2.84 (E(f5(f8(a1,a2)),f5(a6))),
% 2.63/2.84 inference(scs_inference,[],[22,986,989,997,51,36,48,980,985,1002,1012,45,1025,937,1001,924,1028,1032,964,996,966,962,788,896,968,970,815,563,769,475,722,824,984,607,773,238,95,130,24,25,34,26,33,30,32,31,28,27,10,11,3,14,9,12,13,2,6,5,4])).
% 2.63/2.84 cnf(1039,plain,
% 2.63/2.84 (E(f4(f4(x10391,a3),x10392),f4(x10391,x10392))),
% 2.63/2.84 inference(scs_inference,[],[22,986,989,997,51,36,48,980,985,1002,1012,45,1025,937,1001,924,1028,1032,964,996,966,962,788,896,968,970,815,563,769,475,722,824,984,607,773,238,95,130,24,25,34,26,33,30,32,31,28,27,10,11,3,14,9,12,13,2,6,5,4,7])).
% 2.63/2.84 cnf(1040,plain,
% 2.63/2.84 (E(f4(x10401,x10402),f4(x10401,f4(a3,x10402)))),
% 2.63/2.84 inference(scs_inference,[],[22,986,989,997,51,36,48,980,985,1002,1012,45,1025,937,1001,924,1028,1032,964,996,966,962,788,896,968,970,815,563,769,475,722,824,984,607,773,386,238,95,130,24,25,34,26,33,30,32,31,28,27,10,11,3,14,9,12,13,2,6,5,4,7,8])).
% 2.63/2.84 cnf(1041,plain,
% 2.63/2.84 (P2(f8(x10411,f4(a3,a3)),f8(x10411,x10412),f8(x10411,x10412))),
% 2.63/2.84 inference(scs_inference,[],[953,24])).
% 2.63/2.84 cnf(1043,plain,
% 2.63/2.84 (P1(f8(x10431,f4(a1,a3)),a2,f8(x10431,a6))),
% 2.63/2.84 inference(scs_inference,[],[22,953,781,92,24,29])).
% 2.63/2.84 cnf(1045,plain,
% 2.63/2.84 (P1(x10451,x10452,f8(x10451,x10452))),
% 2.63/2.84 inference(rename_variables,[],[22])).
% 2.63/2.84 cnf(1049,plain,
% 2.63/2.84 (P2(x10491,f4(a3,a3),x10491)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1050,plain,
% 2.63/2.84 (P1(x10501,x10502,f8(x10501,x10502))),
% 2.63/2.84 inference(rename_variables,[],[22])).
% 2.63/2.84 cnf(1053,plain,
% 2.63/2.84 (~P2(a7,f4(a3,a3),f5(a6))),
% 2.63/2.84 inference(scs_inference,[],[22,1045,48,1049,40,953,781,167,92,19,24,29,34,25])).
% 2.63/2.84 cnf(1054,plain,
% 2.63/2.84 (P2(x10541,f4(a3,a3),x10541)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1062,plain,
% 2.63/2.84 (~P2(f4(a3,a3),f4(a3,f5(a7)),a6)),
% 2.63/2.84 inference(scs_inference,[],[22,1045,51,48,1049,1054,40,953,775,783,781,99,167,477,92,19,24,29,34,25,26,27,28])).
% 2.63/2.84 cnf(1063,plain,
% 2.63/2.84 (P2(x10631,f4(a3,a3),x10631)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1069,plain,
% 2.63/2.84 (E(f4(x10691,f4(a3,a3)),x10691)),
% 2.63/2.84 inference(rename_variables,[],[924])).
% 2.63/2.84 cnf(1070,plain,
% 2.63/2.84 (E(f4(a6,f4(a3,a3)),f8(a1,a2))),
% 2.63/2.84 inference(scs_inference,[],[22,1045,51,48,1049,1054,40,42,45,953,904,1004,775,783,924,1069,781,99,167,477,92,19,24,29,34,25,26,27,28,9,10,3])).
% 2.63/2.84 cnf(1072,plain,
% 2.63/2.84 (~P1(x10721,f4(a3,a3),f4(f4(a6,a3),a7))),
% 2.63/2.84 inference(scs_inference,[],[22,1045,51,48,1049,1054,40,42,45,953,988,1039,904,1004,775,783,924,1069,781,99,167,477,92,19,24,29,34,25,26,27,28,9,10,3,11])).
% 2.63/2.84 cnf(1074,plain,
% 2.63/2.84 (P2(a6,f4(a3,a3),f8(a1,a2))),
% 2.63/2.84 inference(scs_inference,[],[22,1045,51,48,1049,1054,1063,40,42,45,953,988,1039,904,1004,775,783,924,1069,781,99,167,477,92,19,24,29,34,25,26,27,28,9,10,3,11,14])).
% 2.63/2.84 cnf(1075,plain,
% 2.63/2.84 (P2(x10751,f4(a3,a3),x10751)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1077,plain,
% 2.63/2.84 (~P2(x10771,f5(x10771),f4(a6,a7))),
% 2.63/2.84 inference(rename_variables,[],[1010])).
% 2.63/2.84 cnf(1078,plain,
% 2.63/2.84 (~E(f4(a3,a3),f5(f4(a6,a7)))),
% 2.63/2.84 inference(scs_inference,[],[22,1045,51,48,1049,1054,1063,1075,40,42,45,953,1010,1077,988,1039,904,1004,775,783,924,1069,781,99,167,477,92,19,24,29,34,25,26,27,28,9,10,3,11,14,12,13])).
% 2.63/2.84 cnf(1080,plain,
% 2.63/2.84 (P2(x10801,f4(a3,a3),x10801)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1081,plain,
% 2.63/2.84 (E(f8(f4(x10811,a3),x10812),f8(x10811,x10812))),
% 2.63/2.84 inference(scs_inference,[],[22,1045,51,48,1049,1054,1063,1075,40,42,45,953,1010,1077,988,790,1039,904,1004,775,783,924,1069,781,99,167,477,92,19,24,29,34,25,26,27,28,9,10,3,11,14,12,13,2])).
% 2.63/2.84 cnf(1082,plain,
% 2.63/2.84 (P1(a1,f8(a2,f4(a3,x10821)),f8(a6,x10821))),
% 2.63/2.84 inference(scs_inference,[],[22,1045,51,48,1049,1054,1063,1075,40,42,45,953,1010,1077,988,958,790,1039,904,1004,775,783,924,1069,781,99,167,477,92,19,24,29,34,25,26,27,28,9,10,3,11,14,12,13,2,80])).
% 2.63/2.84 cnf(1086,plain,
% 2.63/2.84 (P2(x10861,f4(a3,a3),x10861)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1091,plain,
% 2.63/2.84 (~P1(x10911,f8(x10912,f4(a3,a3)),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[22,1045,1050,51,48,1049,1054,1063,1075,1080,1086,40,42,45,953,1010,1077,988,958,790,1039,904,832,266,1004,949,775,783,924,1069,777,781,99,167,477,92,19,24,29,34,25,26,27,28,9,10,3,11,14,12,13,2,80,33,32,31])).
% 2.63/2.84 cnf(1100,plain,
% 2.63/2.84 (P1(f8(x11001,f4(a1,a3)),a2,f8(x11001,a6))),
% 2.63/2.84 inference(rename_variables,[],[1043])).
% 2.63/2.84 cnf(1101,plain,
% 2.63/2.84 (P1(a1,f8(a2,x11011),f8(a6,f4(x11011,a3)))),
% 2.63/2.84 inference(rename_variables,[],[844])).
% 2.63/2.84 cnf(1103,plain,
% 2.63/2.84 (E(a3,f4(f5(a3),f4(a3,a3)))),
% 2.63/2.84 inference(scs_inference,[],[48,982,227,1043,611,844,24,29,25])).
% 2.63/2.84 cnf(1105,plain,
% 2.63/2.84 (P2(x11051,f4(a3,a3),x11051)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1109,plain,
% 2.63/2.84 (P1(f8(x11091,x11092),x11093,f8(x11091,f8(x11092,x11093)))),
% 2.63/2.84 inference(rename_variables,[],[864])).
% 2.63/2.84 cnf(1118,plain,
% 2.63/2.84 (P2(x11181,f4(a3,a3),x11181)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1122,plain,
% 2.63/2.84 (P2(x11221,f4(a3,a3),x11221)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1125,plain,
% 2.63/2.84 (~P1(x11251,f8(a3,x11252),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[48,1105,1118,51,982,636,946,771,227,1043,1100,611,844,864,1109,968,832,777,240,773,477,24,29,25,26,32,27,28,31])).
% 2.63/2.84 cnf(1130,plain,
% 2.63/2.84 (P1(f4(a1,a3),a2,f4(a6,f8(a1,a3)))),
% 2.63/2.84 inference(scs_inference,[],[55,48,1105,1118,51,45,982,636,946,771,227,1043,1100,611,844,864,1109,968,832,777,240,773,477,24,29,25,26,32,27,28,31,9])).
% 2.63/2.84 cnf(1131,plain,
% 2.63/2.84 (E(x11311,f4(x11311,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1132,plain,
% 2.63/2.84 (P1(a1,f4(a2,a3),f4(a6,f8(a1,a3)))),
% 2.63/2.84 inference(scs_inference,[],[55,48,1105,1118,51,45,1131,982,636,946,771,227,1043,1100,611,844,864,1109,968,832,777,240,773,477,24,29,25,26,32,27,28,31,9,10])).
% 2.63/2.84 cnf(1133,plain,
% 2.63/2.84 (E(x11331,f4(x11331,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1135,plain,
% 2.63/2.84 (E(x11351,f4(x11351,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1136,plain,
% 2.63/2.84 (P1(f4(x11361,x11361),f4(x11362,a3),f8(f4(a3,x11361),f4(x11362,x11362)))),
% 2.63/2.84 inference(scs_inference,[],[55,48,1105,1118,51,45,1131,1133,982,972,636,1019,946,771,785,227,1043,1100,611,844,864,1109,968,832,777,240,773,477,24,29,25,26,32,27,28,31,9,10,3,11])).
% 2.63/2.84 cnf(1138,plain,
% 2.63/2.84 (~E(f8(x11381,f5(a3)),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[55,48,1105,1118,51,45,1131,1133,982,972,636,1019,946,423,771,785,227,1043,1100,611,844,864,1109,968,832,868,777,240,773,477,24,29,25,26,32,27,28,31,9,10,3,11,14])).
% 2.63/2.84 cnf(1140,plain,
% 2.63/2.84 (P2(f4(x11401,a3),f4(a3,a3),x11401)),
% 2.63/2.84 inference(scs_inference,[],[55,48,1105,1118,1122,51,45,1131,1133,1135,982,972,636,1019,946,423,771,785,227,1043,1100,611,844,864,1109,968,832,868,777,240,773,477,24,29,25,26,32,27,28,31,9,10,3,11,14,12])).
% 2.63/2.84 cnf(1141,plain,
% 2.63/2.84 (P2(x11411,f4(a3,a3),x11411)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1142,plain,
% 2.63/2.84 (P2(x11421,f4(f4(a3,a3),a3),x11421)),
% 2.63/2.84 inference(scs_inference,[],[55,48,1105,1118,1122,1141,51,45,1131,1133,1135,982,972,636,1019,946,423,771,785,227,1043,1100,611,844,864,1109,968,832,868,777,240,773,477,24,29,25,26,32,27,28,31,9,10,3,11,14,12,13])).
% 2.63/2.84 cnf(1144,plain,
% 2.63/2.84 (~E(f5(f4(a6,a7)),f4(a3,a3))),
% 2.63/2.84 inference(scs_inference,[],[55,48,1105,1118,1122,1141,51,45,1131,1133,1135,1078,982,972,636,1019,946,423,771,785,227,1043,1100,611,844,864,1109,968,832,868,777,240,773,477,24,29,25,26,32,27,28,31,9,10,3,11,14,12,13,2])).
% 2.63/2.84 cnf(1145,plain,
% 2.63/2.84 (P1(a6,f5(a3),f8(a6,a3))),
% 2.63/2.84 inference(scs_inference,[],[55,48,1105,1118,1122,1141,51,45,1131,1133,1135,1078,982,972,636,1019,946,423,771,785,227,1043,1100,611,844,864,1109,968,832,868,777,240,773,621,477,24,29,25,26,32,27,28,31,9,10,3,11,14,12,13,2,83])).
% 2.63/2.84 cnf(1149,plain,
% 2.63/2.84 (P1(f4(a3,a6),x11491,f8(f8(a1,a2),x11491))),
% 2.63/2.84 inference(rename_variables,[],[601])).
% 2.63/2.84 cnf(1152,plain,
% 2.63/2.84 (~P1(f8(f8(a1,a2),a1),f8(a2,a3),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[55,48,1105,1118,1122,1141,51,45,1131,1133,1135,1078,1091,982,972,636,1019,601,1149,946,423,771,785,1074,227,1043,1100,611,844,1101,864,1109,968,832,868,777,240,773,621,477,24,29,25,26,32,27,28,31,9,10,3,11,14,12,13,2,83,34,30])).
% 2.63/2.84 cnf(1159,plain,
% 2.63/2.84 (P2(f4(f4(a3,a3),a3),x11591,x11591)),
% 2.63/2.84 inference(scs_inference,[],[1142,24])).
% 2.63/2.84 cnf(1164,plain,
% 2.63/2.84 (~P1(f8(a1,a2),f8(f4(a3,a6),a3),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[36,1142,1152,995,484,24,25,29])).
% 2.63/2.84 cnf(1165,plain,
% 2.63/2.84 (P1(f4(a3,a1),f8(a2,x11651),f8(f4(a3,a6),x11651))),
% 2.63/2.84 inference(rename_variables,[],[995])).
% 2.63/2.84 cnf(1168,plain,
% 2.63/2.84 (~P1(f4(a3,a1),f8(a2,a3),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[36,1142,1152,1021,995,1165,484,24,25,29,26])).
% 2.63/2.84 cnf(1169,plain,
% 2.63/2.84 (P1(f4(a3,a1),f8(a2,x11691),f8(f4(a3,a6),x11691))),
% 2.63/2.84 inference(rename_variables,[],[995])).
% 2.63/2.84 cnf(1171,plain,
% 2.63/2.84 (~P2(f8(a6,a3),f4(f8(a3,a3),f8(a3,a3)),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[36,48,1142,1152,1021,995,1165,292,686,824,484,24,25,29,26,33])).
% 2.63/2.84 cnf(1174,plain,
% 2.63/2.84 (P1(f4(f8(a1,a2),a3),x11741,f8(a6,x11741))),
% 2.63/2.84 inference(rename_variables,[],[292])).
% 2.63/2.84 cnf(1176,plain,
% 2.63/2.84 (P2(f8(f4(a3,a3),f5(a3)),f8(a6,a3),f8(a6,a3))),
% 2.63/2.84 inference(scs_inference,[],[36,48,1142,1152,1021,995,1165,292,1174,686,824,484,203,621,24,25,29,26,33,32])).
% 2.63/2.84 cnf(1179,plain,
% 2.63/2.84 (P1(f4(f8(a1,a2),a3),x11791,f8(a6,x11791))),
% 2.63/2.84 inference(rename_variables,[],[292])).
% 2.63/2.84 cnf(1182,plain,
% 2.63/2.84 (P2(f8(f4(x11821,x11821),f5(a3)),f8(x11821,a3),f8(x11821,a3))),
% 2.63/2.84 inference(scs_inference,[],[36,48,1142,1152,1021,995,1165,678,292,1174,686,640,824,484,203,621,24,25,29,26,33,32,27])).
% 2.63/2.84 cnf(1186,plain,
% 2.63/2.84 (P2(f8(f5(a3),f4(a3,a3)),f8(a3,a3),f8(a3,a3))),
% 2.63/2.84 inference(scs_inference,[],[36,48,1041,1142,795,1152,1021,995,1165,678,292,1174,686,640,824,484,203,621,24,25,29,26,33,32,27,28])).
% 2.63/2.84 cnf(1196,plain,
% 2.63/2.84 (E(x11961,f4(x11961,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1197,plain,
% 2.63/2.84 (P1(f4(f8(a1,a2),a3),f8(a1,a2),f8(a6,a6))),
% 2.63/2.84 inference(scs_inference,[],[36,48,42,45,1041,1142,795,1152,1021,995,1165,1169,145,678,292,1174,1179,461,686,640,824,868,484,203,621,24,25,29,26,33,32,27,28,31,9,10])).
% 2.63/2.84 cnf(1201,plain,
% 2.63/2.84 (E(x12011,f4(x12011,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1203,plain,
% 2.63/2.84 (E(x12031,f4(x12031,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1205,plain,
% 2.63/2.84 (E(x12051,f4(x12051,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1206,plain,
% 2.63/2.84 (~P2(x12061,f4(a6,a7),f4(f4(x12061,a3),a3))),
% 2.63/2.84 inference(scs_inference,[],[55,36,48,42,45,1196,1201,1203,1205,1041,1142,795,855,1152,1021,879,995,1165,1169,836,145,678,292,1174,1179,461,686,640,154,824,868,484,203,621,24,25,29,26,33,32,27,28,31,9,10,11,3,14,13,12])).
% 2.63/2.84 cnf(1208,plain,
% 2.63/2.84 (E(f8(a1,a2),f4(a6,f4(a3,a3)))),
% 2.63/2.84 inference(scs_inference,[],[55,36,48,42,45,1196,1201,1203,1205,1041,1142,795,855,1152,1070,1021,879,995,1165,1169,836,145,678,292,1174,1179,461,686,640,154,824,868,484,203,621,24,25,29,26,33,32,27,28,31,9,10,11,3,14,13,12,2])).
% 2.63/2.84 cnf(1217,plain,
% 2.63/2.84 (~P2(f4(f8(a3,a3),f8(a3,a3)),f8(a6,a3),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[1171,24])).
% 2.63/2.84 cnf(1219,plain,
% 2.63/2.84 (~P1(a1,f4(f8(a2,a3),f8(a2,a3)),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[60,1171,797,988,24,29])).
% 2.63/2.84 cnf(1223,plain,
% 2.63/2.84 (~P2(f4(a3,a3),f4(a3,a3),f5(f4(a6,a7)))),
% 2.63/2.84 inference(scs_inference,[],[60,48,1144,1171,797,988,24,29,25])).
% 2.63/2.84 cnf(1224,plain,
% 2.63/2.84 (P2(x12241,f4(a3,a3),x12241)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1229,plain,
% 2.63/2.84 (P2(f8(f4(a3,a3),f4(a3,a6)),f8(a6,a6),f8(a6,a6))),
% 2.63/2.84 inference(scs_inference,[],[60,48,1159,1197,1144,1171,838,1029,797,988,475,24,29,25,26,32])).
% 2.63/2.84 cnf(1233,plain,
% 2.63/2.84 (~P2(f4(a3,f5(a3)),f4(a3,a3),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[60,48,1224,1159,1197,1144,1171,1140,977,838,1029,797,988,475,24,29,25,26,32,28])).
% 2.63/2.84 cnf(1235,plain,
% 2.63/2.84 (P2(x12351,f4(a3,a3),x12351)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1238,plain,
% 2.63/2.84 (~P2(f4(a3,a3),f5(f4(a6,a7)),f4(a3,a3))),
% 2.63/2.84 inference(scs_inference,[],[60,48,1224,1235,1159,1197,1144,1171,1140,977,838,585,1029,797,988,475,24,29,25,26,32,28,27])).
% 2.63/2.84 cnf(1240,plain,
% 2.63/2.84 (P2(x12401,f4(a3,a3),x12401)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1244,plain,
% 2.63/2.84 (E(f4(f4(x12441,a3),x12442),f4(x12441,x12442))),
% 2.63/2.84 inference(rename_variables,[],[1039])).
% 2.63/2.84 cnf(1245,plain,
% 2.63/2.84 (~P1(x12451,a3,f4(f4(a6,a3),a7))),
% 2.63/2.84 inference(scs_inference,[],[60,48,1224,1235,45,1159,1197,1144,1171,1168,1140,1072,977,838,585,1029,797,988,1039,475,24,29,25,26,32,28,27,9,10])).
% 2.63/2.84 cnf(1246,plain,
% 2.63/2.84 (E(x12461,f4(x12461,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1247,plain,
% 2.63/2.84 (~P2(f8(a6,a3),f8(a3,a3),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[60,48,1224,1235,45,1159,1197,1144,1171,1168,1140,1072,977,746,838,585,1029,797,988,1039,475,24,29,25,26,32,28,27,9,10,13])).
% 2.63/2.84 cnf(1249,plain,
% 2.63/2.84 (~P1(f4(a3,a1),f8(a2,a3),f4(f4(a6,a3),a7))),
% 2.63/2.84 inference(scs_inference,[],[60,48,1224,1235,45,1159,1197,1144,1171,1168,1140,1072,977,746,838,585,1029,797,988,1039,1244,475,24,29,25,26,32,28,27,9,10,13,11])).
% 2.63/2.84 cnf(1253,plain,
% 2.63/2.84 (P2(f8(x12531,x12532),f4(a3,a3),f8(x12531,f4(x12532,a3)))),
% 2.63/2.84 inference(scs_inference,[],[60,48,1224,1235,1240,45,1246,1159,1197,1144,1171,1168,789,1140,1072,977,746,838,585,1029,797,988,1039,1244,475,24,29,25,26,32,28,27,9,10,13,11,3,14])).
% 2.63/2.84 cnf(1258,plain,
% 2.63/2.84 (E(f4(x12581,f4(x12582,a3)),f4(x12581,x12582))),
% 2.63/2.84 inference(scs_inference,[],[60,51,48,1224,1235,1240,45,1246,1159,1197,1144,1171,1168,789,1138,1140,1072,977,746,838,585,1029,797,988,1039,1244,559,475,386,130,24,29,25,26,32,28,27,9,10,13,11,3,14,12,2,4,8])).
% 2.63/2.84 cnf(1268,plain,
% 2.63/2.84 (E(f5(f4(a3,a3)),f4(a3,a3))),
% 2.63/2.84 inference(scs_inference,[],[48,1229,427,24,25])).
% 2.63/2.84 cnf(1270,plain,
% 2.63/2.84 (P2(x12701,f4(a3,a3),x12701)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1272,plain,
% 2.63/2.84 (E(f4(a6,f8(a3,a2)),f8(a1,a2))),
% 2.63/2.84 inference(scs_inference,[],[60,48,1229,427,22,24,25,26])).
% 2.63/2.84 cnf(1275,plain,
% 2.63/2.84 (P2(f8(x12751,a3),f8(f4(a3,x12751),f4(a3,a3)),f8(x12751,a3))),
% 2.63/2.84 inference(scs_inference,[],[60,48,1270,1229,1136,427,672,22,24,25,26,31])).
% 2.63/2.84 cnf(1277,plain,
% 2.63/2.84 (P2(x12771,f4(a3,a3),x12771)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1278,plain,
% 2.63/2.84 (P1(f4(x12781,x12781),f4(x12782,a3),f8(f4(a3,x12781),f4(x12782,x12782)))),
% 2.63/2.84 inference(rename_variables,[],[1136])).
% 2.63/2.84 cnf(1281,plain,
% 2.63/2.84 (P2(x12811,f4(a3,a3),x12811)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1289,plain,
% 2.63/2.84 (E(x12891,f4(x12891,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1290,plain,
% 2.63/2.84 (P1(a6,f8(a1,a2),f8(f8(a1,a2),a6))),
% 2.63/2.84 inference(scs_inference,[],[60,48,1270,1277,42,45,1229,1223,917,1136,1206,118,453,150,391,427,896,672,22,24,25,26,31,27,28,9,13,10])).
% 2.63/2.84 cnf(1291,plain,
% 2.63/2.84 (P1(f4(x12911,x12911),f4(a3,a3),f8(f4(a3,x12911),a3))),
% 2.63/2.84 inference(scs_inference,[],[60,48,1270,1277,42,45,1229,1223,917,1036,1136,1278,1206,118,453,150,391,427,896,672,22,24,25,26,31,27,28,9,13,10,11])).
% 2.63/2.84 cnf(1294,plain,
% 2.63/2.84 (~E(f4(a3,a3),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[60,48,1270,1277,42,45,1289,1229,1223,917,1036,1136,1278,1206,118,453,150,908,391,427,896,672,22,24,25,26,31,27,28,9,13,10,11,3])).
% 2.63/2.84 cnf(1295,plain,
% 2.63/2.84 (E(x12951,f4(x12951,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1296,plain,
% 2.63/2.84 (P2(a7,f8(a3,a2),f4(a7,a3))),
% 2.63/2.84 inference(scs_inference,[],[60,48,1270,1277,42,45,1289,1295,1229,1223,917,1036,1136,1278,1206,118,453,150,908,391,114,427,896,672,22,24,25,26,31,27,28,9,13,10,11,3,14])).
% 2.63/2.84 cnf(1298,plain,
% 2.63/2.84 (P2(f8(a1,a2),f4(a3,a3),a6)),
% 2.63/2.84 inference(scs_inference,[],[60,48,1270,1277,1281,42,45,1289,1295,1229,1223,917,1036,1136,1278,1206,118,453,150,908,391,114,427,896,672,22,24,25,26,31,27,28,9,13,10,11,3,14,12])).
% 2.63/2.84 cnf(1299,plain,
% 2.63/2.84 (P2(x12991,f4(a3,a3),x12991)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1300,plain,
% 2.63/2.84 (E(f5(f4(x13001,a3)),f5(x13001))),
% 2.63/2.84 inference(scs_inference,[],[60,48,1270,1277,1281,42,45,1289,1295,1229,1223,917,1036,786,1136,1278,1206,118,453,150,908,391,114,427,896,672,22,24,25,26,31,27,28,9,13,10,11,3,14,12,2])).
% 2.63/2.84 cnf(1301,plain,
% 2.63/2.84 (P1(a1,f8(f8(a2,a1),a2),f8(a6,a6))),
% 2.63/2.84 inference(scs_inference,[],[60,48,1270,1277,1281,42,45,1289,1295,1229,1223,917,1036,786,1136,1278,1206,118,453,150,908,391,114,427,896,672,806,22,24,25,26,31,27,28,9,13,10,11,3,14,12,2,80])).
% 2.63/2.84 cnf(1307,plain,
% 2.63/2.84 (P1(f4(a6,f8(a3,a2)),f4(a3,a3),f8(a6,a3))),
% 2.63/2.84 inference(scs_inference,[],[60,48,1270,1277,1281,1299,42,45,1289,1295,1229,1223,917,1036,786,1136,1278,1206,582,118,453,373,150,908,391,114,427,896,672,806,797,22,24,25,26,31,27,28,9,13,10,11,3,14,12,2,80,34,29])).
% 2.63/2.84 cnf(1314,plain,
% 2.63/2.84 (~P2(f5(f4(a6,a7)),f4(a3,a3),f4(a3,a3))),
% 2.63/2.84 inference(scs_inference,[],[1238,24])).
% 2.63/2.84 cnf(1317,plain,
% 2.63/2.84 (P2(x13171,f4(a3,a3),x13171)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1323,plain,
% 2.63/2.84 (P1(f4(a3,a3),f4(a3,a3),f8(f4(a3,a3),f5(a3)))),
% 2.63/2.84 inference(scs_inference,[],[38,48,1317,1238,1291,632,1138,423,24,25,26,33])).
% 2.63/2.84 cnf(1324,plain,
% 2.63/2.84 (P1(f4(x13241,x13241),f4(a3,a3),f8(f4(a3,x13241),a3))),
% 2.63/2.84 inference(rename_variables,[],[1291])).
% 2.63/2.84 cnf(1325,plain,
% 2.63/2.84 (P2(x13251,f4(a3,a3),x13251)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1328,plain,
% 2.63/2.84 (~P1(f8(x13281,f4(a1,a1)),f8(a2,a3),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[38,48,1317,1238,1291,632,937,1091,1138,423,844,24,25,26,33,30])).
% 2.63/2.84 cnf(1334,plain,
% 2.63/2.84 (P2(x13341,f4(a3,a3),x13341)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1337,plain,
% 2.63/2.84 (P2(x13371,f4(a3,a3),x13371)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1341,plain,
% 2.63/2.84 (E(x13411,f4(x13411,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1342,plain,
% 2.63/2.84 (P1(a1,f4(a2,a3),f4(a6,f8(a3,a2)))),
% 2.63/2.84 inference(scs_inference,[],[38,60,51,48,1317,1325,1334,45,1341,1238,857,1291,1298,632,937,1159,1091,1138,423,844,24,25,26,33,30,28,27,9,10])).
% 2.63/2.84 cnf(1343,plain,
% 2.63/2.84 (E(x13431,f4(x13431,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1344,plain,
% 2.63/2.84 (~P2(f8(a6,a3),f8(f4(a3,a3),a3),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[38,60,51,48,1317,1325,1334,45,1341,1238,1247,1081,857,1291,1298,632,937,1159,1091,1138,423,844,24,25,26,33,30,28,27,9,10,13])).
% 2.63/2.84 cnf(1346,plain,
% 2.63/2.84 (E(x13461,f4(f4(x13461,a3),f4(a3,a3)))),
% 2.63/2.84 inference(scs_inference,[],[38,60,51,48,1317,1325,1334,45,1341,1343,1024,1238,1247,1081,857,1291,1298,632,937,1159,1091,1138,423,844,24,25,26,33,30,28,27,9,10,13,3])).
% 2.63/2.84 cnf(1353,plain,
% 2.63/2.84 (~E(f4(a6,a7),f4(a3,a3))),
% 2.63/2.84 inference(scs_inference,[],[38,60,51,48,1317,1325,1334,45,1341,1343,1024,1238,1247,1294,1081,857,1300,1291,1298,632,937,1159,1091,1138,423,844,154,24,25,26,33,30,28,27,9,10,13,3,12,14,11,2])).
% 2.63/2.84 cnf(1356,plain,
% 2.63/2.84 (~P2(f8(a1,f4(a3,a3)),f8(a6,a3),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[38,60,51,48,1317,1325,1334,45,1341,1343,1024,1238,1247,1294,1081,857,1300,1291,1307,1298,1219,425,632,937,1159,1091,958,1138,423,135,844,154,24,25,26,33,30,28,27,9,10,13,3,12,14,11,2,29,34])).
% 2.63/2.84 cnf(1363,plain,
% 2.63/2.84 (P2(f8(a6,a3),f8(f4(a3,a3),a3),f8(a6,a3))),
% 2.63/2.84 inference(scs_inference,[],[38,60,51,48,1317,1325,1334,1337,45,1341,1343,1024,1238,1247,1294,1217,1081,857,1300,1291,1324,1307,1298,1219,425,632,705,1145,937,1159,1091,958,1138,423,135,844,154,24,25,26,33,30,28,27,9,10,13,3,12,14,11,2,29,34,31,32])).
% 2.63/2.84 cnf(1367,plain,
% 2.63/2.84 (P2(f8(f4(a3,a3),a3),f8(a6,a3),f8(a6,a3))),
% 2.63/2.84 inference(scs_inference,[],[1363,24])).
% 2.63/2.84 cnf(1369,plain,
% 2.63/2.84 (~P2(f4(a3,a3),f4(a3,a3),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[48,1363,1353,24,25])).
% 2.63/2.84 cnf(1370,plain,
% 2.63/2.84 (P2(x13701,f4(a3,a3),x13701)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1372,plain,
% 2.63/2.84 (P1(f4(a6,f8(a1,a3)),a6,f8(a6,a6))),
% 2.63/2.84 inference(scs_inference,[],[55,48,1363,1353,1301,806,24,25,29])).
% 2.63/2.84 cnf(1377,plain,
% 2.63/2.84 (P1(f4(f5(a3),f5(a3)),a3,f8(a3,a3))),
% 2.63/2.84 inference(scs_inference,[],[55,48,1370,1363,1353,1186,902,1301,937,672,806,238,24,25,29,26,33])).
% 2.63/2.84 cnf(1379,plain,
% 2.63/2.84 (P2(x13791,f4(a3,a3),x13791)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1382,plain,
% 2.63/2.84 (~P1(f8(f4(a3,a3),f5(a3)),f4(x13821,a3),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[55,48,1370,1363,1323,1353,1186,1125,902,1301,1019,937,672,806,238,24,25,29,26,33,30])).
% 2.63/2.84 cnf(1383,plain,
% 2.63/2.84 (~P1(x13831,f8(a3,x13832),f4(a6,a7))),
% 2.63/2.84 inference(rename_variables,[],[1125])).
% 2.63/2.84 cnf(1386,plain,
% 2.63/2.84 (P2(f8(f4(a3,a3),f4(a3,a3)),f8(a6,a3),f8(a6,a3))),
% 2.63/2.84 inference(scs_inference,[],[55,48,1370,1363,1323,1353,1186,1176,1125,902,1301,1041,1019,937,672,806,238,24,25,29,26,33,30,28])).
% 2.63/2.84 cnf(1387,plain,
% 2.63/2.84 (P2(f8(x13871,f4(a3,a3)),f8(x13871,x13872),f8(x13871,x13872))),
% 2.63/2.84 inference(rename_variables,[],[1041])).
% 2.63/2.84 cnf(1389,plain,
% 2.63/2.84 (P2(f8(a1,f4(a3,a3)),a6,f8(a1,a2))),
% 2.63/2.84 inference(scs_inference,[],[55,48,1370,1363,1323,1353,1186,1176,1125,902,710,1301,1041,1387,1019,937,375,672,806,238,24,25,29,26,33,30,28,27])).
% 2.63/2.84 cnf(1394,plain,
% 2.63/2.84 (~P1(x13941,f4(f8(a3,x13942),f8(a3,x13942)),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[55,48,1370,42,1363,1323,1353,1186,1176,1164,490,1125,1383,902,710,1301,1041,1387,1019,937,375,672,806,238,24,25,29,26,33,30,28,27,9,10])).
% 2.63/2.84 cnf(1395,plain,
% 2.63/2.84 (~P1(x13951,f8(a3,x13952),f4(a6,a7))),
% 2.63/2.84 inference(rename_variables,[],[1125])).
% 2.63/2.84 cnf(1396,plain,
% 2.63/2.84 (~E(f4(a6,a7),f5(f4(a3,a3)))),
% 2.63/2.84 inference(scs_inference,[],[55,48,1370,42,1363,1268,1323,1353,1186,1176,1164,490,1125,1383,902,710,1301,1041,1387,1019,937,375,672,806,238,24,25,29,26,33,30,28,27,9,10,3])).
% 2.63/2.84 cnf(1397,plain,
% 2.63/2.84 (~E(f4(a6,a7),f4(a3,f5(a3)))),
% 2.63/2.84 inference(scs_inference,[],[55,48,1370,1379,42,1363,1268,1323,1353,1186,1233,1176,1164,490,1125,1383,902,710,1301,1041,1387,1019,937,375,672,806,238,24,25,29,26,33,30,28,27,9,10,3,12])).
% 2.63/2.84 cnf(1398,plain,
% 2.63/2.84 (P2(x13981,f4(a3,a3),x13981)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1401,plain,
% 2.63/2.84 (~P2(f8(a6,a3),f8(f4(a3,a3),f4(a3,a3)),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[55,48,1370,1379,1398,42,1363,1268,1323,1344,1353,1186,1233,1176,1164,1040,490,1125,1383,902,710,1301,1041,1387,548,1019,937,375,672,806,238,24,25,29,26,33,30,28,27,9,10,3,12,14,13])).
% 2.63/2.84 cnf(1405,plain,
% 2.63/2.84 (E(f4(a3,a3),f5(f4(a3,a3)))),
% 2.63/2.84 inference(scs_inference,[],[55,48,1370,1379,1398,42,1363,1268,1323,1344,1353,1186,1233,1176,1164,1040,1258,1249,490,1125,1383,902,710,1301,1041,1387,548,1019,937,375,672,806,238,24,25,29,26,33,30,28,27,9,10,3,12,14,13,11,2])).
% 2.63/2.84 cnf(1409,plain,
% 2.63/2.84 (~P1(f8(a1,a2),f8(f4(a3,a3),a3),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[55,48,1370,1379,1398,42,1363,1268,1323,1344,1353,1186,1233,1176,1164,1040,1258,1249,490,1125,1383,1395,902,710,1301,1041,1387,964,1197,548,1019,937,375,672,806,769,238,24,25,29,26,33,30,28,27,9,10,3,12,14,13,11,2,34,31])).
% 2.63/2.84 cnf(1414,plain,
% 2.63/2.84 (P2(f8(a6,a3),f8(a6,a3),f8(f4(a1,a1),f8(a2,a3)))),
% 2.63/2.84 inference(scs_inference,[],[65,55,48,1370,1379,1398,42,1363,1268,1323,1344,1353,1186,1233,1176,1164,1040,1258,1249,490,1125,1383,1395,902,710,1301,847,1041,1387,964,1197,548,1019,937,375,672,806,769,484,238,24,25,29,26,33,30,28,27,9,10,3,12,14,13,11,2,34,31,32])).
% 2.63/2.84 cnf(1420,plain,
% 2.63/2.84 (E(f8(a1,f4(a2,a2)),f4(a6,a6))),
% 2.63/2.84 inference(scs_inference,[],[69,1401,95,24,25])).
% 2.63/2.84 cnf(1423,plain,
% 2.63/2.84 (~P1(f4(a3,a6),f4(f8(a6,a3),f8(a6,a3)),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[69,1401,1328,449,601,95,24,25,29])).
% 2.63/2.84 cnf(1436,plain,
% 2.63/2.84 (~P2(f8(a6,a3),f8(f4(a3,a6),f4(a3,a3)),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[69,1386,1401,1328,449,1275,1132,601,1145,832,777,773,477,95,24,25,29,26,31,28])).
% 2.63/2.84 cnf(1443,plain,
% 2.63/2.84 (P1(f4(f8(a1,a2),f8(a1,a3)),a6,f8(a6,a6))),
% 2.63/2.84 inference(scs_inference,[],[69,48,1386,1401,1328,449,1275,1132,1372,601,75,1145,236,832,777,773,477,95,24,25,29,26,31,28,27,9])).
% 2.63/2.84 cnf(1445,plain,
% 2.63/2.84 (~E(f4(a7,a3),f5(f4(a3,a6)))),
% 2.63/2.84 inference(scs_inference,[],[69,48,45,1386,1401,1328,449,1275,1132,1372,713,601,75,1145,236,832,777,773,477,95,24,25,29,26,31,28,27,9,3])).
% 2.63/2.84 cnf(1446,plain,
% 2.63/2.84 (E(x14461,f4(x14461,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1447,plain,
% 2.63/2.84 (P1(f4(a6,f8(a1,a3)),f8(a1,a2),f8(a6,a6))),
% 2.63/2.84 inference(scs_inference,[],[69,48,45,42,1386,1401,1328,449,1275,1132,1372,713,601,75,1145,236,832,777,773,477,95,24,25,29,26,31,28,27,9,3,10])).
% 2.63/2.84 cnf(1449,plain,
% 2.63/2.84 (E(x14491,f4(x14491,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1450,plain,
% 2.63/2.84 (~E(f8(a6,a3),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[69,48,45,1446,42,1386,1401,1328,449,1275,1132,1372,713,601,75,1145,236,832,777,773,477,95,24,25,29,26,31,28,27,9,3,10,12,14])).
% 2.63/2.84 cnf(1455,plain,
% 2.63/2.84 (~E(f4(a3,f5(a3)),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[69,48,45,1446,1449,42,1386,1401,1397,1328,1208,449,1275,1132,1372,713,601,75,1145,236,781,832,777,773,477,95,24,25,29,26,31,28,27,9,3,10,12,14,13,11,2])).
% 2.63/2.84 cnf(1466,plain,
% 2.63/2.84 (P2(f4(a3,a3),f8(x14661,x14662),f8(x14661,f4(x14662,a3)))),
% 2.63/2.84 inference(scs_inference,[],[1253,24])).
% 2.63/2.84 cnf(1470,plain,
% 2.63/2.84 (P1(f4(a6,f8(a3,a2)),f8(a1,a2),f8(a6,a6))),
% 2.63/2.84 inference(scs_inference,[],[60,1367,1450,1253,1082,966,24,25,29])).
% 2.63/2.84 cnf(1477,plain,
% 2.63/2.84 (P2(x14771,f4(a3,a3),x14771)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1478,plain,
% 2.63/2.84 (P1(x14781,x14782,f8(x14781,f4(x14782,a3)))),
% 2.63/2.84 inference(rename_variables,[],[431])).
% 2.63/2.84 cnf(1480,plain,
% 2.63/2.84 (~P1(f4(a3,a3),a2,f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[60,48,1477,1367,1450,1253,1445,1082,389,295,966,431,101,769,24,25,29,26,33,32])).
% 2.63/2.84 cnf(1496,plain,
% 2.63/2.84 (E(x14961,f4(x14961,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1498,plain,
% 2.63/2.84 (E(x14981,f4(x14981,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1500,plain,
% 2.63/2.84 (E(x15001,f4(x15001,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1501,plain,
% 2.63/2.84 (~P2(f4(a3,a3),f4(a3,a3),f4(a6,f4(a7,a3)))),
% 2.63/2.84 inference(scs_inference,[],[65,60,48,1477,45,1496,1498,1367,1405,1369,1436,1450,526,1253,1445,1342,1182,684,1082,389,1258,1275,295,227,966,431,1478,101,99,769,19,24,25,29,26,33,32,31,28,27,9,3,12,14])).
% 2.63/2.84 cnf(1504,plain,
% 2.63/2.84 (E(x15041,f4(x15041,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1509,plain,
% 2.63/2.84 (E(f4(a6,a6),f8(a1,f4(a2,a2)))),
% 2.63/2.84 inference(scs_inference,[],[65,60,48,1477,45,1496,1498,1500,1504,1367,1420,1405,1369,1436,1450,526,1253,1445,1130,1342,1182,1377,1245,684,1082,389,1258,1275,295,227,966,431,1478,101,99,769,19,24,25,29,26,33,32,31,28,27,9,3,12,14,10,13,11,2])).
% 2.63/2.84 cnf(1510,plain,
% 2.63/2.84 (P1(a1,f8(f4(a2,a3),x15101),f8(a6,x15101))),
% 2.63/2.84 inference(scs_inference,[],[65,60,48,1477,45,1496,1498,1500,1504,1367,1420,1405,1369,1436,1450,526,1253,1445,1130,1342,1182,1377,1245,684,1082,389,1258,1275,295,227,966,431,1478,101,421,99,769,19,24,25,29,26,33,32,31,28,27,9,3,12,14,10,13,11,2,80])).
% 2.63/2.84 cnf(1515,plain,
% 2.63/2.84 (~P2(f8(a6,a3),f8(a1,f4(a3,a3)),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[1356,24])).
% 2.63/2.84 cnf(1517,plain,
% 2.63/2.84 (~P2(f4(a6,a7),f4(a3,a3),f4(a3,f5(a3)))),
% 2.63/2.84 inference(scs_inference,[],[48,1455,1356,24,25])).
% 2.63/2.84 cnf(1518,plain,
% 2.63/2.84 (P2(x15181,f4(a3,a3),x15181)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1522,plain,
% 2.63/2.84 (~P1(f8(f4(a3,a3),f8(a3,a3)),x15221,f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[48,1455,1356,894,1394,616,394,238,24,25,26,30])).
% 2.63/2.84 cnf(1525,plain,
% 2.63/2.84 (~P1(x15251,f4(f8(a3,x15252),f8(a3,x15252)),f4(a6,a7))),
% 2.63/2.84 inference(rename_variables,[],[1394])).
% 2.63/2.84 cnf(1527,plain,
% 2.63/2.84 (~P1(f4(f4(a1,a3),a3),f4(a2,a3),f5(a7))),
% 2.63/2.84 inference(scs_inference,[],[48,1455,1356,163,894,1394,616,394,896,238,773,24,25,26,30,32])).
% 2.63/2.84 cnf(1532,plain,
% 2.63/2.84 (P2(x15321,f4(a3,a3),x15321)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1536,plain,
% 2.63/2.84 (P2(x15361,f4(a3,a3),x15361)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1539,plain,
% 2.63/2.84 (~E(a7,f5(f8(a1,a2)))),
% 2.63/2.84 inference(scs_inference,[],[48,1518,1532,1455,1356,1038,1501,364,163,894,545,1394,616,764,394,896,238,773,24,25,26,30,32,28,27,3])).
% 2.63/2.84 cnf(1541,plain,
% 2.63/2.84 (~P2(f8(f4(a3,a1),f4(a3,a3)),f8(a6,a3),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[42,48,1518,1532,1409,1455,1356,1038,1501,364,163,894,545,1394,616,549,764,394,896,238,773,24,25,26,30,32,28,27,3,9,12])).
% 2.63/2.84 cnf(1543,plain,
% 2.63/2.84 (P2(f4(a6,a6),f4(a3,a3),f8(a1,f4(a2,a2)))),
% 2.63/2.84 inference(scs_inference,[],[42,48,1518,1532,1536,1509,1409,1455,1356,1038,1501,364,163,894,545,1394,616,549,764,394,896,238,773,24,25,26,30,32,28,27,3,9,12,14])).
% 2.63/2.84 cnf(1544,plain,
% 2.63/2.84 (P2(x15441,f4(a3,a3),x15441)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1545,plain,
% 2.63/2.84 (~E(f4(a6,f4(a7,a3)),f4(a3,a3))),
% 2.63/2.84 inference(scs_inference,[],[42,48,1518,1532,1536,1509,1409,1455,1356,1038,1501,364,163,894,545,1394,616,549,764,394,896,203,238,773,24,25,26,30,32,28,27,3,9,12,14,13])).
% 2.63/2.84 cnf(1547,plain,
% 2.63/2.84 (~P1(f4(a3,a6),f8(a6,a3),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[42,48,1518,1532,1536,1509,1409,1423,1455,1356,1038,1501,364,163,894,545,1394,616,549,746,764,394,896,203,238,773,24,25,26,30,32,28,27,3,9,12,14,13,10])).
% 2.63/2.84 cnf(1549,plain,
% 2.63/2.84 (~P1(f4(a3,a3),a2,f4(f8(a1,a2),a7))),
% 2.63/2.84 inference(scs_inference,[],[42,48,1518,1532,1536,1509,1409,1423,1455,1356,1038,1501,1480,364,163,894,545,1394,616,549,244,746,764,394,896,203,238,773,24,25,26,30,32,28,27,3,9,12,14,13,10,11])).
% 2.63/2.84 cnf(1555,plain,
% 2.63/2.84 (~P1(f4(a3,a3),f8(f4(a3,a3),f5(a3)),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[42,48,1518,1532,1536,1509,1409,1423,1455,1396,1356,1038,1501,1382,1480,1447,364,163,894,545,1394,1525,1323,616,549,244,746,764,394,896,203,238,773,24,25,26,30,32,28,27,3,9,12,14,13,10,11,2,34,29])).
% 2.63/2.84 cnf(1558,plain,
% 2.63/2.84 (P2(f8(a3,a3),f8(f4(a3,a3),f5(a3)),f8(a3,a3))),
% 2.63/2.84 inference(scs_inference,[],[42,48,1518,1532,1536,1544,1509,1409,1423,1455,1396,1356,1038,1501,1382,1480,1447,364,163,894,545,1394,1525,1323,616,549,244,746,764,394,896,672,203,238,773,24,25,26,30,32,28,27,3,9,12,14,13,10,11,2,34,29,31])).
% 2.63/2.84 cnf(1564,plain,
% 2.63/2.84 (E(f8(f4(a1,a1),a2),f4(a6,a6))),
% 2.63/2.84 inference(scs_inference,[],[65,1543,95,24,25])).
% 2.63/2.84 cnf(1572,plain,
% 2.63/2.84 (P1(f4(a3,x15721),x15722,f8(x15721,x15722))),
% 2.63/2.84 inference(rename_variables,[],[475])).
% 2.63/2.84 cnf(1575,plain,
% 2.63/2.84 (P2(f8(f4(a3,a3),f4(a3,a3)),f4(a7,a7),f4(a7,a7))),
% 2.63/2.84 inference(scs_inference,[],[65,1543,1547,942,1510,1377,1245,864,1041,475,95,24,25,29,30,28])).
% 2.63/2.84 cnf(1584,plain,
% 2.63/2.84 (P1(f8(a1,a2),f8(a1,a2),f8(a6,a6))),
% 2.63/2.84 inference(scs_inference,[],[65,45,1543,1547,1466,942,1470,1272,1510,1539,1377,1245,864,1041,968,475,95,24,25,29,30,28,27,3,9])).
% 2.63/2.84 cnf(1585,plain,
% 2.63/2.84 (~E(f8(f4(a1,a1),f8(a2,a3)),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[65,45,1543,1414,1547,1466,942,1470,1272,1510,1539,1377,1245,864,1041,968,475,868,95,24,25,29,30,28,27,3,9,14])).
% 2.63/2.84 cnf(1592,plain,
% 2.63/2.84 (E(f4(f4(x15921,a3),f4(a3,a3)),x15921)),
% 2.63/2.84 inference(scs_inference,[],[42,65,45,1543,1414,1547,1466,942,1346,1470,1272,297,1443,1510,1539,1377,1245,864,1041,968,475,1572,868,95,24,25,29,30,28,27,3,9,14,12,10,13,11,2])).
% 2.63/2.84 cnf(1602,plain,
% 2.63/2.84 (~P2(f8(a6,a3),f8(f4(a3,a1),f4(a3,a3)),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[1541,24])).
% 2.63/2.84 cnf(1606,plain,
% 2.63/2.84 (P1(f8(a1,f8(a2,a1)),a2,f8(a6,a6))),
% 2.63/2.84 inference(scs_inference,[],[1584,1541,1389,288,847,781,24,25,29])).
% 2.63/2.84 cnf(1619,plain,
% 2.63/2.84 (P2(f8(a6,a6),f8(f4(a3,a3),a6),f8(a6,a6))),
% 2.63/2.84 inference(scs_inference,[],[48,1584,1541,1035,1389,1125,1043,632,288,847,844,781,92,24,25,29,26,30,32])).
% 2.63/2.84 cnf(1621,plain,
% 2.63/2.84 (P2(x16211,f4(a3,a3),x16211)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1630,plain,
% 2.63/2.84 (E(x16301,f4(x16301,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1632,plain,
% 2.63/2.84 (E(x16321,f4(x16321,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1634,plain,
% 2.63/2.84 (E(x16341,f4(x16341,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1636,plain,
% 2.63/2.84 (E(x16361,f4(x16361,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1637,plain,
% 2.63/2.84 (P1(f8(a1,a2),f4(f8(a1,a2),a3),f8(a6,a6))),
% 2.63/2.84 inference(scs_inference,[],[45,1630,1632,1634,1636,48,1621,1584,1515,1541,1314,1035,1062,1389,1290,242,593,1466,1125,1043,632,288,847,720,844,781,92,24,25,29,26,30,32,27,28,3,9,14,12,10])).
% 2.63/2.84 cnf(1638,plain,
% 2.63/2.84 (E(x16381,f4(x16381,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1640,plain,
% 2.63/2.84 (E(x16401,f4(x16401,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1641,plain,
% 2.63/2.84 (P1(f8(a1,a2),f8(a1,a2),f4(f8(a6,a6),a3))),
% 2.63/2.84 inference(scs_inference,[],[45,1630,1632,1634,1636,1638,1640,48,1621,1584,1515,1541,1517,1314,1035,1062,1389,1290,242,593,1466,1125,1043,632,288,847,720,844,781,92,24,25,29,26,30,32,27,28,3,9,14,12,10,13,11])).
% 2.63/2.84 cnf(1643,plain,
% 2.63/2.84 (~E(f4(a6,a7),f8(f4(a1,a1),f8(a2,a3)))),
% 2.63/2.84 inference(scs_inference,[],[45,1630,1632,1634,1636,1638,1640,48,1621,1584,1515,1541,1517,1585,1314,1035,1062,1389,1290,242,593,1466,1125,1043,632,288,847,720,844,781,92,24,25,29,26,30,32,27,28,3,9,14,12,10,13,11,2])).
% 2.63/2.84 cnf(1650,plain,
% 2.63/2.84 (P2(x16501,f4(a3,a3),x16501)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1659,plain,
% 2.63/2.84 (P2(x16591,f4(a3,a3),x16591)),
% 2.63/2.84 inference(rename_variables,[],[48])).
% 2.63/2.84 cnf(1662,plain,
% 2.63/2.84 (~P2(f8(f4(a3,a3),f4(a3,a3)),f4(a3,a3),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[48,1650,1637,1575,1643,755,1450,1010,686,1510,1125,236,769,24,25,29,26,32,27])).
% 2.63/2.84 cnf(1664,plain,
% 2.63/2.84 (P2(x16641,f5(x16641),f4(a3,a3))),
% 2.63/2.84 inference(rename_variables,[],[236])).
% 2.63/2.84 cnf(1670,plain,
% 2.63/2.84 (E(x16701,f4(x16701,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1674,plain,
% 2.63/2.84 (E(x16741,f4(x16741,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1678,plain,
% 2.63/2.84 (E(x16781,f4(x16781,a3))),
% 2.63/2.84 inference(rename_variables,[],[45])).
% 2.63/2.84 cnf(1684,plain,
% 2.63/2.84 (P1(a1,f4(f8(a2,x16841),a3),f8(a6,x16841))),
% 2.63/2.84 inference(scs_inference,[],[45,1670,1674,1678,74,51,48,1650,1659,1637,1564,1575,1643,1555,1545,1592,979,1053,1527,1296,755,419,1450,1010,686,1510,1125,236,1664,777,769,19,24,25,29,26,32,27,28,3,14,9,12,10,13,11,2,80])).
% 2.63/2.84 cnf(1730,plain,
% 2.63/2.84 (~E(f8(a3,a3),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[48,73,55,1641,1662,1602,1522,1014,1103,1606,840,1000,834,1186,1253,836,343,597,919,427,864,968,868,1584,773,95,25,24,33,29,30,32,27,28,3,14])).
% 2.63/2.84 cnf(1749,plain,
% 2.63/2.84 (~P2(f8(a3,a3),f8(f4(a3,a3),f5(a3)),f4(a6,a7))),
% 2.63/2.84 inference(scs_inference,[],[1558,1730,1619,24,25])).
% 2.63/2.84 cnf(1809,plain,
% 2.63/2.84 ($false),
% 2.63/2.84 inference(scs_inference,[],[73,1749,1549,1684,425,1140,1219,1450,319,135,427,95,18,22,34,25,24,26,33]),
% 2.63/2.84 ['proof']).
% 2.63/2.84 % SZS output end Proof
% 2.63/2.84 % Total time :2.170000s
%------------------------------------------------------------------------------