TSTP Solution File: RNG001-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : RNG001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n010.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 13:47:35 EDT 2023
% Result : Unsatisfiable 1.79s 1.86s
% Output : CNFRefutation 1.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 02:22:20 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.58 start to proof:theBenchmark
% 1.73/1.85 %-------------------------------------------
% 1.73/1.85 % File :CSE---1.6
% 1.73/1.85 % Problem :theBenchmark
% 1.73/1.85 % Transform :cnf
% 1.73/1.85 % Format :tptp:raw
% 1.73/1.85 % Command :java -jar mcs_scs.jar %d %s
% 1.73/1.85
% 1.73/1.85 % Result :Theorem 1.230000s
% 1.73/1.85 % Output :CNFRefutation 1.230000s
% 1.73/1.85 %-------------------------------------------
% 1.79/1.86 %--------------------------------------------------------------------------
% 1.79/1.86 % File : RNG001-1 : TPTP v8.1.2. Released v1.0.0.
% 1.79/1.86 % Domain : Ring Theory
% 1.79/1.86 % Problem : X.additive_identity = additive_identity for any X
% 1.79/1.86 % Version : [MOW76] axioms.
% 1.79/1.86 % English :
% 1.79/1.86
% 1.79/1.86 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 1.79/1.86 % Source : [MOW76]
% 1.79/1.86 % Names : R1 [MOW76]
% 1.79/1.86 % : zero.ver1.in [ANL]
% 1.79/1.86
% 1.79/1.86 % Status : Unsatisfiable
% 1.79/1.86 % Rating : 0.00 v6.1.0, 0.20 v6.0.0, 0.22 v5.5.0, 0.19 v5.4.0, 0.27 v5.3.0, 0.42 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, 0.11 v2.2.0, 0.14 v2.1.0, 0.00 v2.0.0
% 1.79/1.86 % Syntax : Number of clauses : 18 ( 7 unt; 0 nHn; 12 RR)
% 1.79/1.86 % Number of literals : 51 ( 2 equ; 34 neg)
% 1.79/1.86 % Maximal clause size : 5 ( 2 avg)
% 1.79/1.86 % Maximal term depth : 2 ( 1 avg)
% 1.79/1.86 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty)
% 1.79/1.86 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 1.79/1.86 % Number of variables : 71 ( 0 sgn)
% 1.79/1.86 % SPC : CNF_UNS_RFO_SEQ_HRN
% 1.79/1.86
% 1.79/1.86 % Comments :
% 1.79/1.86 %--------------------------------------------------------------------------
% 1.79/1.86 %----Include ring theory axioms
% 1.79/1.86 include('Axioms/RNG001-0.ax').
% 1.79/1.86 %--------------------------------------------------------------------------
% 1.79/1.86 cnf(prove_a_times_0_is_0,negated_conjecture,
% 1.79/1.86 ~ product(a,additive_identity,additive_identity) ).
% 1.79/1.86
% 1.79/1.86 %--------------------------------------------------------------------------
% 1.79/1.86 %-------------------------------------------
% 1.79/1.86 % Proof found
% 1.79/1.86 % SZS status Theorem for theBenchmark
% 1.79/1.86 % SZS output start Proof
% 1.79/1.86 %ClaNum:32(EqnAxiom:14)
% 1.79/1.86 %VarNum:146(SingletonVarNum:71)
% 1.79/1.86 %MaxLitNum:5
% 1.79/1.86 %MaxfuncDepth:1
% 1.79/1.86 %SharedTerms:3
% 1.79/1.86 %goalClause: 21
% 1.79/1.86 %singleGoalClaCount:1
% 1.79/1.86 [21]~P2(a3,a1,a1)
% 1.79/1.86 [15]P1(x151,a1,x151)
% 1.79/1.86 [16]P1(a1,x161,x161)
% 1.79/1.86 [17]P1(x171,f4(x171),a1)
% 1.79/1.86 [18]P1(f4(x181),x181,a1)
% 1.79/1.86 [19]P1(x191,x192,f2(x191,x192))
% 1.79/1.86 [20]P2(x201,x202,f5(x201,x202))
% 1.79/1.86 [22]~P1(x222,x221,x223)+P1(x221,x222,x223)
% 1.79/1.86 [23]~P1(x233,x234,x231)+E(x231,x232)+~P1(x233,x234,x232)
% 1.79/1.86 [24]~P2(x243,x244,x241)+E(x241,x242)+~P2(x243,x244,x242)
% 1.79/1.86 [25]~P1(x256,x254,x251)+P1(x251,x252,x253)+~P1(x254,x252,x255)+~P1(x256,x255,x253)
% 1.79/1.86 [26]~P1(x261,x266,x264)+P1(x261,x262,x263)+~P1(x264,x265,x263)+~P1(x266,x265,x262)
% 1.79/1.86 [27]~P2(x276,x274,x271)+P2(x271,x272,x273)+~P2(x274,x272,x275)+~P2(x276,x275,x273)
% 1.79/1.86 [28]~P2(x281,x286,x284)+P2(x281,x282,x283)+~P2(x284,x285,x283)+~P2(x286,x285,x282)
% 1.79/1.86 [29]~P2(x297,x295,x292)+~P2(x297,x294,x291)+P1(x291,x292,x293)+~P1(x294,x295,x296)+~P2(x297,x296,x293)
% 1.79/1.86 [30]~P2(x305,x307,x302)+~P2(x304,x307,x301)+P1(x301,x302,x303)+~P1(x304,x305,x306)+~P2(x306,x307,x303)
% 1.79/1.86 [31]~P2(x317,x312,x315)+~P2(x316,x312,x314)+P2(x311,x312,x313)+~P1(x314,x315,x313)+~P1(x316,x317,x311)
% 1.79/1.86 [32]~P2(x321,x327,x325)+~P2(x321,x326,x324)+P2(x321,x322,x323)+~P1(x324,x325,x323)+~P1(x326,x327,x322)
% 1.79/1.86 %EqnAxiom
% 1.79/1.86 [1]E(x11,x11)
% 1.79/1.86 [2]E(x22,x21)+~E(x21,x22)
% 1.79/1.86 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.79/1.86 [4]~E(x41,x42)+E(f4(x41),f4(x42))
% 1.79/1.86 [5]~E(x51,x52)+E(f5(x51,x53),f5(x52,x53))
% 1.79/1.86 [6]~E(x61,x62)+E(f5(x63,x61),f5(x63,x62))
% 1.79/1.86 [7]~E(x71,x72)+E(f2(x71,x73),f2(x72,x73))
% 1.79/1.86 [8]~E(x81,x82)+E(f2(x83,x81),f2(x83,x82))
% 1.79/1.86 [9]P1(x92,x93,x94)+~E(x91,x92)+~P1(x91,x93,x94)
% 1.79/1.86 [10]P1(x103,x102,x104)+~E(x101,x102)+~P1(x103,x101,x104)
% 1.79/1.86 [11]P1(x113,x114,x112)+~E(x111,x112)+~P1(x113,x114,x111)
% 1.79/1.86 [12]P2(x122,x123,x124)+~E(x121,x122)+~P2(x121,x123,x124)
% 1.79/1.86 [13]P2(x133,x132,x134)+~E(x131,x132)+~P2(x133,x131,x134)
% 1.79/1.86 [14]P2(x143,x144,x142)+~E(x141,x142)+~P2(x143,x144,x141)
% 1.79/1.86
% 1.79/1.86 %-------------------------------------------
% 1.79/1.87 cnf(33,plain,
% 1.79/1.87 (~E(f5(a3,a1),a1)),
% 1.79/1.87 inference(scs_inference,[],[21,20,14])).
% 1.79/1.87 cnf(34,plain,
% 1.79/1.87 (P2(x341,x342,f5(x341,x342))),
% 1.79/1.87 inference(rename_variables,[],[20])).
% 1.79/1.87 cnf(35,plain,
% 1.79/1.87 (E(x351,f2(x351,a1))),
% 1.79/1.87 inference(scs_inference,[],[21,15,19,20,14,23])).
% 1.79/1.87 cnf(36,plain,
% 1.79/1.87 (P1(x361,x362,f2(x361,x362))),
% 1.79/1.87 inference(rename_variables,[],[19])).
% 1.79/1.87 cnf(38,plain,
% 1.79/1.87 (P1(x381,f2(a1,a1),x381)),
% 1.79/1.87 inference(scs_inference,[],[21,15,19,36,20,14,23,26])).
% 1.79/1.87 cnf(39,plain,
% 1.79/1.87 (P1(x391,x392,f2(x391,x392))),
% 1.79/1.87 inference(rename_variables,[],[19])).
% 1.79/1.87 cnf(41,plain,
% 1.79/1.87 (P2(x411,a1,f2(f5(x411,a1),f5(x411,a1)))),
% 1.79/1.87 inference(scs_inference,[],[21,15,19,36,39,20,34,14,23,26,32])).
% 1.79/1.87 cnf(42,plain,
% 1.79/1.87 (P1(x421,x422,f2(x421,x422))),
% 1.79/1.87 inference(rename_variables,[],[19])).
% 1.79/1.87 cnf(43,plain,
% 1.79/1.87 (P1(x431,a1,x431)),
% 1.79/1.87 inference(rename_variables,[],[15])).
% 1.79/1.87 cnf(45,plain,
% 1.79/1.87 (P2(x451,x452,f5(x451,x452))),
% 1.79/1.87 inference(rename_variables,[],[20])).
% 1.79/1.87 cnf(47,plain,
% 1.79/1.87 (P2(a1,x471,f2(f5(a1,x471),f5(a1,x471)))),
% 1.79/1.87 inference(scs_inference,[],[21,15,43,19,36,39,42,20,34,45,14,23,26,32,31])).
% 1.79/1.87 cnf(48,plain,
% 1.79/1.87 (P1(x481,x482,f2(x481,x482))),
% 1.79/1.87 inference(rename_variables,[],[19])).
% 1.79/1.87 cnf(49,plain,
% 1.79/1.87 (P1(x491,a1,x491)),
% 1.79/1.87 inference(rename_variables,[],[15])).
% 1.79/1.87 cnf(51,plain,
% 1.79/1.87 (P2(x511,x512,f5(x511,x512))),
% 1.79/1.87 inference(rename_variables,[],[20])).
% 1.79/1.87 cnf(53,plain,
% 1.79/1.87 (P1(f5(a1,x531),f5(a1,x531),f5(a1,x531))),
% 1.79/1.87 inference(scs_inference,[],[21,15,43,49,19,36,39,42,20,34,45,51,14,23,26,32,31,30])).
% 1.79/1.87 cnf(56,plain,
% 1.79/1.87 (P2(x561,x562,f5(x561,x562))),
% 1.79/1.87 inference(rename_variables,[],[20])).
% 1.79/1.87 cnf(57,plain,
% 1.79/1.87 (P1(x571,a1,x571)),
% 1.79/1.87 inference(rename_variables,[],[15])).
% 1.79/1.87 cnf(59,plain,
% 1.79/1.87 (P1(f5(x591,a1),f5(x591,a1),f5(x591,a1))),
% 1.79/1.87 inference(scs_inference,[],[21,15,43,49,57,19,36,39,42,20,34,45,51,56,14,23,26,32,31,30,29])).
% 1.79/1.87 cnf(65,plain,
% 1.79/1.87 (~E(a1,f5(a3,a1))),
% 1.79/1.87 inference(scs_inference,[],[21,15,43,49,57,19,36,39,42,20,34,45,51,56,14,23,26,32,31,30,29,2])).
% 1.79/1.87 cnf(66,plain,
% 1.79/1.87 (P1(x661,x662,f2(x662,x661))),
% 1.79/1.87 inference(scs_inference,[],[21,15,43,49,57,19,36,39,42,48,20,34,45,51,56,14,23,26,32,31,30,29,2,22])).
% 1.79/1.87 cnf(68,plain,
% 1.79/1.87 (E(f2(x681,a1),f2(x681,f2(a1,a1)))),
% 1.79/1.87 inference(scs_inference,[],[21,15,43,49,57,19,36,39,42,48,20,34,45,51,56,14,23,26,32,31,30,29,2,22,8])).
% 1.79/1.87 cnf(69,plain,
% 1.79/1.87 (E(f2(a1,x691),f2(f2(a1,a1),x691))),
% 1.79/1.87 inference(scs_inference,[],[21,15,43,49,57,19,36,39,42,48,20,34,45,51,56,14,23,26,32,31,30,29,2,22,8,7])).
% 1.79/1.87 cnf(70,plain,
% 1.79/1.87 (E(f5(x701,a1),f5(x701,f2(a1,a1)))),
% 1.79/1.87 inference(scs_inference,[],[21,15,43,49,57,19,36,39,42,48,20,34,45,51,56,14,23,26,32,31,30,29,2,22,8,7,6])).
% 1.79/1.87 cnf(71,plain,
% 1.79/1.87 (E(f5(a1,x711),f5(f2(a1,a1),x711))),
% 1.79/1.87 inference(scs_inference,[],[21,15,43,49,57,19,36,39,42,48,20,34,45,51,56,14,23,26,32,31,30,29,2,22,8,7,6,5])).
% 1.79/1.87 cnf(72,plain,
% 1.79/1.87 (E(f4(a1),f4(f2(a1,a1)))),
% 1.79/1.87 inference(scs_inference,[],[21,15,43,49,57,19,36,39,42,48,20,34,45,51,56,14,23,26,32,31,30,29,2,22,8,7,6,5,4])).
% 1.79/1.87 cnf(73,plain,
% 1.79/1.87 (~P2(a3,x731,a1)+~E(x731,a1)),
% 1.79/1.87 inference(scs_inference,[],[21,15,43,49,57,19,36,39,42,48,20,34,45,51,56,14,23,26,32,31,30,29,2,22,8,7,6,5,4,13])).
% 1.79/1.87 cnf(74,plain,
% 1.79/1.87 (~E(f5(a3,f2(a1,a1)),a1)),
% 1.79/1.87 inference(scs_inference,[],[21,15,43,49,57,19,36,39,42,48,20,34,45,51,56,14,23,26,32,31,30,29,2,22,8,7,6,5,4,13,3])).
% 1.79/1.87 cnf(98,plain,
% 1.79/1.87 (~P2(a3,f2(a1,a1),a1)),
% 1.79/1.87 inference(scs_inference,[],[20,74,24])).
% 1.79/1.87 cnf(99,plain,
% 1.79/1.87 (P2(x991,x992,f5(x991,x992))),
% 1.79/1.87 inference(rename_variables,[],[20])).
% 1.79/1.87 cnf(101,plain,
% 1.79/1.87 (~P1(f5(a3,a1),f5(a3,a1),a1)),
% 1.79/1.87 inference(scs_inference,[],[19,20,99,74,24,32])).
% 1.79/1.87 cnf(102,plain,
% 1.79/1.87 (P1(x1021,x1022,f2(x1021,x1022))),
% 1.79/1.87 inference(rename_variables,[],[19])).
% 1.79/1.87 cnf(103,plain,
% 1.79/1.87 (P2(x1031,x1032,f5(x1031,x1032))),
% 1.79/1.87 inference(rename_variables,[],[20])).
% 1.79/1.87 cnf(104,plain,
% 1.79/1.87 (P2(x1041,x1042,f5(x1041,x1042))),
% 1.79/1.87 inference(rename_variables,[],[20])).
% 1.79/1.87 cnf(106,plain,
% 1.79/1.87 (~P1(x1061,f4(x1061),f5(a3,a1))),
% 1.79/1.87 inference(scs_inference,[],[17,19,20,99,65,74,24,32,23])).
% 1.79/1.87 cnf(108,plain,
% 1.79/1.87 (E(f2(x1081,a1),x1081)),
% 1.79/1.87 inference(scs_inference,[],[17,19,20,99,35,65,74,24,32,23,2])).
% 1.79/1.87 cnf(109,plain,
% 1.79/1.87 (P2(x1091,f2(x1092,a1),f5(x1091,x1092))),
% 1.79/1.87 inference(scs_inference,[],[17,19,20,99,104,35,65,74,24,32,23,2,13])).
% 1.79/1.87 cnf(110,plain,
% 1.79/1.87 (E(x1101,f2(x1101,a1))),
% 1.79/1.87 inference(rename_variables,[],[35])).
% 1.79/1.87 cnf(111,plain,
% 1.79/1.87 (P2(f2(x1111,a1),x1112,f5(x1111,x1112))),
% 1.79/1.87 inference(scs_inference,[],[17,19,20,99,104,35,110,65,74,24,32,23,2,13,12])).
% 1.79/1.87 cnf(112,plain,
% 1.79/1.87 (P2(x1121,x1122,f5(x1121,x1122))),
% 1.79/1.87 inference(rename_variables,[],[20])).
% 1.79/1.87 cnf(113,plain,
% 1.79/1.87 (~E(f4(f5(a3,a1)),f5(a3,a1))),
% 1.79/1.87 inference(scs_inference,[],[17,19,20,99,104,35,110,65,74,24,32,23,2,13,12,10])).
% 1.79/1.87 cnf(114,plain,
% 1.79/1.87 (P1(x1141,f4(x1141),a1)),
% 1.79/1.87 inference(rename_variables,[],[17])).
% 1.79/1.87 cnf(118,plain,
% 1.79/1.87 (P2(x1181,x1182,f5(x1181,x1182))),
% 1.79/1.87 inference(rename_variables,[],[20])).
% 1.79/1.87 cnf(120,plain,
% 1.79/1.87 (P2(f2(x1201,x1201),x1202,f2(f5(x1201,x1202),f5(x1201,x1202)))),
% 1.79/1.87 inference(scs_inference,[],[17,19,102,20,99,104,112,118,103,66,35,110,65,74,24,32,23,2,13,12,10,27,31])).
% 1.79/1.87 cnf(121,plain,
% 1.79/1.87 (P1(x1211,x1212,f2(x1211,x1212))),
% 1.79/1.87 inference(rename_variables,[],[19])).
% 1.79/1.87 cnf(124,plain,
% 1.79/1.87 (~P2(f2(a3,a3),a1,a1)),
% 1.79/1.87 inference(scs_inference,[],[17,19,102,121,20,99,104,112,118,103,66,35,110,65,74,24,32,23,2,13,12,10,27,31,30])).
% 1.79/1.87 cnf(125,plain,
% 1.79/1.87 (P2(x1251,x1252,f5(x1251,x1252))),
% 1.79/1.87 inference(rename_variables,[],[20])).
% 1.79/1.87 cnf(126,plain,
% 1.79/1.87 (P2(x1261,x1262,f5(x1261,x1262))),
% 1.79/1.87 inference(rename_variables,[],[20])).
% 1.79/1.87 cnf(127,plain,
% 1.79/1.87 (P1(x1271,x1272,f2(x1271,x1272))),
% 1.79/1.88 inference(rename_variables,[],[19])).
% 1.79/1.88 cnf(130,plain,
% 1.79/1.88 (P2(x1301,x1302,f5(x1301,x1302))),
% 1.79/1.88 inference(rename_variables,[],[20])).
% 1.79/1.88 cnf(131,plain,
% 1.79/1.88 (P1(x1311,x1312,f2(x1311,x1312))),
% 1.79/1.88 inference(rename_variables,[],[19])).
% 1.79/1.88 cnf(134,plain,
% 1.79/1.88 (P1(x1341,f4(x1341),a1)),
% 1.79/1.88 inference(rename_variables,[],[17])).
% 1.79/1.88 cnf(135,plain,
% 1.79/1.88 (P1(a1,x1351,x1351)),
% 1.79/1.88 inference(rename_variables,[],[16])).
% 1.79/1.88 cnf(141,plain,
% 1.79/1.88 (~P2(a3,a1,f2(a1,a1))),
% 1.79/1.88 inference(scs_inference,[],[21,17,114,18,19,102,121,127,20,99,104,112,118,126,103,16,135,66,35,110,65,74,24,32,23,2,13,12,10,27,31,30,29,26,25,14])).
% 1.79/1.88 cnf(142,plain,
% 1.79/1.88 (~E(f2(f5(a3,a1),f5(a3,a1)),a1)),
% 1.79/1.88 inference(scs_inference,[],[21,17,114,18,19,102,121,127,131,20,99,104,112,118,126,103,16,135,66,35,110,65,74,24,32,23,2,13,12,10,27,31,30,29,26,25,14,11])).
% 1.79/1.88 cnf(146,plain,
% 1.79/1.88 (E(x1461,f2(x1461,a1))),
% 1.79/1.88 inference(rename_variables,[],[35])).
% 1.79/1.88 cnf(147,plain,
% 1.79/1.88 (E(a1,f2(f2(a1,a1),a1))),
% 1.79/1.88 inference(scs_inference,[],[21,17,114,134,18,19,102,121,127,131,20,99,104,112,118,126,103,16,135,66,35,110,146,69,65,74,24,32,23,2,13,12,10,27,31,30,29,26,25,14,11,9,3])).
% 1.79/1.88 cnf(148,plain,
% 1.79/1.88 (P2(x1481,f5(x1481,x1481),f5(f5(x1481,x1481),x1481))),
% 1.79/1.88 inference(scs_inference,[],[21,17,114,134,18,19,102,121,127,131,20,99,104,112,118,126,130,125,103,16,135,66,35,110,146,69,65,74,24,32,23,2,13,12,10,27,31,30,29,26,25,14,11,9,3,28])).
% 1.79/1.88 cnf(155,plain,
% 1.79/1.88 (P1(f2(a1,a1),x1551,x1551)),
% 1.79/1.88 inference(scs_inference,[],[38,22])).
% 1.79/1.88 cnf(158,plain,
% 1.79/1.88 (P2(x1581,f2(x1582,a1),f5(x1581,x1582))),
% 1.79/1.88 inference(rename_variables,[],[109])).
% 1.79/1.88 cnf(159,plain,
% 1.79/1.88 (P2(x1591,x1592,f5(x1591,x1592))),
% 1.79/1.88 inference(rename_variables,[],[20])).
% 1.79/1.88 cnf(160,plain,
% 1.79/1.88 (P1(x1601,a1,x1601)),
% 1.79/1.88 inference(rename_variables,[],[15])).
% 1.79/1.88 cnf(162,plain,
% 1.79/1.88 (~P2(a1,a1,f4(f5(a3,a1)))),
% 1.79/1.88 inference(scs_inference,[],[15,160,20,159,98,106,109,38,22,31,30])).
% 1.79/1.88 cnf(163,plain,
% 1.79/1.88 (P2(x1631,x1632,f5(x1631,x1632))),
% 1.79/1.88 inference(rename_variables,[],[20])).
% 1.79/1.88 cnf(164,plain,
% 1.79/1.88 (~P1(x1641,f4(x1641),f5(a3,a1))),
% 1.79/1.88 inference(rename_variables,[],[106])).
% 1.79/1.88 cnf(165,plain,
% 1.79/1.88 (P1(x1651,a1,x1651)),
% 1.79/1.88 inference(rename_variables,[],[15])).
% 1.79/1.88 cnf(166,plain,
% 1.79/1.88 (P2(x1661,x1662,f5(x1661,x1662))),
% 1.79/1.88 inference(rename_variables,[],[20])).
% 1.79/1.88 cnf(168,plain,
% 1.79/1.88 (E(f5(x1681,f2(x1682,a1)),f5(x1681,x1682))),
% 1.79/1.88 inference(scs_inference,[],[15,160,20,159,166,98,106,109,158,38,22,31,30,24])).
% 1.79/1.88 cnf(170,plain,
% 1.79/1.88 (P2(x1701,x1702,f5(x1701,x1702))),
% 1.79/1.88 inference(rename_variables,[],[20])).
% 1.79/1.88 cnf(172,plain,
% 1.79/1.88 (~P1(a1,a1,f5(a3,a1))),
% 1.79/1.88 inference(scs_inference,[],[15,160,165,33,20,159,166,98,106,109,158,38,22,31,30,24,23])).
% 1.79/1.88 cnf(173,plain,
% 1.79/1.88 (P1(x1731,a1,x1731)),
% 1.79/1.88 inference(rename_variables,[],[15])).
% 1.79/1.88 cnf(176,plain,
% 1.79/1.88 (~P1(x1761,f4(x1761),f5(a3,a1))),
% 1.79/1.88 inference(rename_variables,[],[106])).
% 1.79/1.88 cnf(178,plain,
% 1.79/1.88 (P1(x1781,a1,x1781)),
% 1.79/1.88 inference(rename_variables,[],[15])).
% 1.79/1.88 cnf(181,plain,
% 1.79/1.88 (P2(x1811,x1812,f5(x1811,x1812))),
% 1.79/1.88 inference(rename_variables,[],[20])).
% 1.79/1.88 cnf(182,plain,
% 1.79/1.88 (~P1(x1821,f4(x1821),f5(a3,a1))),
% 1.79/1.88 inference(rename_variables,[],[106])).
% 1.79/1.88 cnf(183,plain,
% 1.79/1.88 (P1(x1831,a1,x1831)),
% 1.79/1.88 inference(rename_variables,[],[15])).
% 1.79/1.88 cnf(184,plain,
% 1.79/1.88 (P2(x1841,x1842,f5(x1841,x1842))),
% 1.79/1.88 inference(rename_variables,[],[20])).
% 1.79/1.88 cnf(186,plain,
% 1.79/1.88 (P1(f2(x1861,f4(x1862)),x1862,x1861)),
% 1.79/1.88 inference(scs_inference,[],[15,160,165,173,178,183,33,18,19,20,159,166,170,98,106,164,176,109,158,38,22,31,30,24,23,26,29,25])).
% 1.79/1.88 cnf(187,plain,
% 1.79/1.88 (P1(x1871,a1,x1871)),
% 1.79/1.88 inference(rename_variables,[],[15])).
% 1.79/1.88 cnf(191,plain,
% 1.79/1.88 (P2(x1911,x1912,f5(x1911,f2(x1912,a1)))),
% 1.79/1.88 inference(scs_inference,[],[15,160,165,173,178,183,33,18,19,20,159,166,170,184,98,113,106,164,176,109,158,108,38,22,31,30,24,23,26,29,25,2,13])).
% 1.79/1.88 cnf(192,plain,
% 1.79/1.88 (P2(x1921,x1922,f5(x1921,x1922))),
% 1.79/1.88 inference(rename_variables,[],[20])).
% 1.79/1.88 cnf(193,plain,
% 1.79/1.88 (~P2(f2(a3,a1),f2(a1,a1),a1)),
% 1.79/1.88 inference(scs_inference,[],[15,160,165,173,178,183,33,18,19,20,159,166,170,184,98,113,106,164,176,109,158,108,38,22,31,30,24,23,26,29,25,2,13,12])).
% 1.79/1.88 cnf(194,plain,
% 1.79/1.88 (E(f2(x1941,a1),x1941)),
% 1.79/1.88 inference(rename_variables,[],[108])).
% 1.79/1.88 cnf(195,plain,
% 1.79/1.88 (~P1(x1951,f2(f4(x1951),a1),f5(a3,a1))),
% 1.79/1.88 inference(scs_inference,[],[15,160,165,173,178,183,33,18,19,20,159,166,170,184,98,113,106,164,176,182,109,158,108,194,38,22,31,30,24,23,26,29,25,2,13,12,10])).
% 1.79/1.88 cnf(196,plain,
% 1.79/1.88 (E(f2(x1961,a1),x1961)),
% 1.79/1.88 inference(rename_variables,[],[108])).
% 1.79/1.88 cnf(197,plain,
% 1.79/1.88 (~E(f5(a3,a1),f2(a1,a1))),
% 1.79/1.88 inference(scs_inference,[],[15,160,165,173,178,183,33,18,19,20,159,166,170,184,98,113,106,164,176,182,109,158,108,194,196,38,22,31,30,24,23,26,29,25,2,13,12,10,3])).
% 1.79/1.88 cnf(198,plain,
% 1.79/1.88 (E(f2(x1981,a1),x1981)),
% 1.79/1.88 inference(rename_variables,[],[108])).
% 1.79/1.88 cnf(199,plain,
% 1.79/1.88 (~P1(x1991,f4(x1991),f2(f5(a3,a1),a1))),
% 1.79/1.88 inference(scs_inference,[],[15,160,165,173,178,183,33,18,19,20,159,166,170,184,98,113,106,164,176,182,109,158,108,194,196,198,38,22,31,30,24,23,26,29,25,2,13,12,10,3,11])).
% 1.79/1.88 cnf(200,plain,
% 1.79/1.88 (E(f2(x2001,a1),x2001)),
% 1.79/1.88 inference(rename_variables,[],[108])).
% 1.79/1.88 cnf(202,plain,
% 1.79/1.88 (E(f2(x2021,a1),x2021)),
% 1.79/1.88 inference(rename_variables,[],[108])).
% 1.79/1.88 cnf(203,plain,
% 1.79/1.88 (~P1(f2(x2031,a1),f4(x2031),f5(a3,a1))),
% 1.79/1.88 inference(scs_inference,[],[15,160,165,173,178,183,33,18,19,20,159,166,170,184,98,113,106,164,176,182,109,158,108,194,196,198,200,202,38,22,31,30,24,23,26,29,25,2,13,12,10,3,11,14,9])).
% 1.79/1.88 cnf(206,plain,
% 1.79/1.88 (P2(x2061,x2062,f5(x2061,x2062))),
% 1.79/1.88 inference(rename_variables,[],[20])).
% 1.79/1.88 cnf(207,plain,
% 1.79/1.88 (P2(x2071,x2072,f5(x2071,x2072))),
% 1.79/1.88 inference(rename_variables,[],[20])).
% 1.79/1.88 cnf(210,plain,
% 1.79/1.88 (~P2(x2101,x2102,f2(x2103,a1))+P2(x2101,f5(x2102,x2104),f5(x2103,x2104))),
% 1.79/1.88 inference(scs_inference,[],[15,160,165,173,178,183,187,33,18,19,20,159,166,170,184,192,207,181,98,113,106,164,176,182,109,158,111,108,194,196,198,200,202,38,22,31,30,24,23,26,29,25,2,13,12,10,3,11,14,9,32,28])).
% 1.79/1.88 cnf(213,plain,
% 1.79/1.88 (P2(f5(x2131,x2132),x2133,f5(x2131,f5(x2132,x2133)))),
% 1.79/1.88 inference(scs_inference,[],[15,160,165,173,178,183,187,33,18,19,20,159,166,170,184,192,207,181,206,163,98,113,106,164,176,182,109,158,111,108,194,196,198,200,202,38,22,31,30,24,23,26,29,25,2,13,12,10,3,11,14,9,32,28,27])).
% 1.79/1.88 cnf(217,plain,
% 1.79/1.88 (~P2(a3,f2(a1,a1),f4(f5(a3,a1)))),
% 1.79/1.88 inference(scs_inference,[],[15,18,20,98,32])).
% 1.79/1.88 cnf(218,plain,
% 1.79/1.88 (P2(x2181,x2182,f5(x2181,x2182))),
% 1.79/1.88 inference(rename_variables,[],[20])).
% 1.79/1.88 cnf(219,plain,
% 1.79/1.88 (P1(x2191,a1,x2191)),
% 1.79/1.88 inference(rename_variables,[],[15])).
% 1.79/1.88 cnf(220,plain,
% 1.79/1.88 (P1(f4(x2201),x2201,a1)),
% 1.79/1.88 inference(rename_variables,[],[18])).
% 1.79/1.88 cnf(222,plain,
% 1.79/1.88 (~P1(f2(f5(a3,a1),f5(a3,a1)),f5(a1,a1),f2(a1,a1))),
% 1.79/1.88 inference(scs_inference,[],[15,219,18,20,218,41,141,98,32,31])).
% 1.79/1.88 cnf(224,plain,
% 1.79/1.88 (P1(x2241,a1,x2241)),
% 1.79/1.88 inference(rename_variables,[],[15])).
% 1.79/1.88 cnf(225,plain,
% 1.79/1.88 (P2(x2251,x2252,f5(x2251,x2252))),
% 1.79/1.88 inference(rename_variables,[],[20])).
% 1.79/1.88 cnf(227,plain,
% 1.79/1.88 (E(f2(f5(a1,x2271),f5(a1,x2271)),f5(a1,x2271))),
% 1.79/1.88 inference(scs_inference,[],[15,219,18,20,218,225,41,47,141,98,32,31,24])).
% 1.79/1.88 cnf(229,plain,
% 1.79/1.88 (P2(x2291,x2292,f5(x2291,x2292))),
% 1.79/1.88 inference(rename_variables,[],[20])).
% 1.79/1.88 cnf(232,plain,
% 1.79/1.88 (P1(x2321,f4(x2321),a1)),
% 1.79/1.88 inference(rename_variables,[],[17])).
% 1.79/1.88 cnf(233,plain,
% 1.79/1.88 (P1(x2331,a1,x2331)),
% 1.79/1.88 inference(rename_variables,[],[15])).
% 1.79/1.88 cnf(235,plain,
% 1.79/1.88 (~P1(f4(x2351),x2351,f2(f5(a3,a1),a1))),
% 1.79/1.88 inference(scs_inference,[],[15,219,224,17,18,20,218,225,101,199,41,47,141,98,32,31,24,25,22])).
% 1.79/1.88 cnf(237,plain,
% 1.79/1.88 (~P2(f2(a3,a3),a1,f2(a1,a1))),
% 1.79/1.88 inference(scs_inference,[],[15,219,224,233,17,18,20,218,225,229,120,101,199,41,47,141,98,32,31,24,25,22,30])).
% 1.79/1.88 cnf(238,plain,
% 1.79/1.88 (P1(x2381,a1,x2381)),
% 1.79/1.88 inference(rename_variables,[],[15])).
% 1.79/1.88 cnf(239,plain,
% 1.79/1.88 (P2(x2391,x2392,f5(x2391,x2392))),
% 1.79/1.88 inference(rename_variables,[],[20])).
% 1.79/1.88 cnf(242,plain,
% 1.79/1.88 (E(f4(a1),a1)),
% 1.79/1.88 inference(scs_inference,[],[15,219,224,233,238,17,18,220,20,218,225,229,120,101,199,41,47,141,98,32,31,24,25,22,30,23])).
% 1.79/1.88 cnf(244,plain,
% 1.79/1.88 (P1(x2441,a1,x2441)),
% 1.79/1.88 inference(rename_variables,[],[15])).
% 1.79/1.88 cnf(246,plain,
% 1.79/1.88 (P1(a1,f2(x2461,f4(a1)),x2461)),
% 1.79/1.88 inference(scs_inference,[],[15,219,224,233,238,244,17,18,220,16,20,218,225,229,120,186,101,199,41,47,141,98,32,31,24,25,22,30,23,26])).
% 1.79/1.88 cnf(248,plain,
% 1.79/1.88 (P1(x2481,a1,x2481)),
% 1.79/1.88 inference(rename_variables,[],[15])).
% 1.79/1.88 cnf(251,plain,
% 1.79/1.88 (E(f5(x2511,x2512),f5(x2511,f2(x2512,a1)))),
% 1.79/1.88 inference(scs_inference,[],[15,219,224,233,238,244,17,18,220,16,20,218,225,229,120,186,101,199,168,41,47,141,98,32,31,24,25,22,30,23,26,2])).
% 1.79/1.88 cnf(252,plain,
% 1.79/1.88 (~P2(f2(a3,a1),a1,a1)),
% 1.79/1.88 inference(scs_inference,[],[15,219,224,233,238,244,17,18,220,16,20,218,225,229,120,186,101,199,168,41,47,193,141,35,98,32,31,24,25,22,30,23,26,2,13])).
% 1.79/1.88 cnf(254,plain,
% 1.79/1.88 (P2(f2(f2(a1,a1),a1),x2541,f5(a1,x2541))),
% 1.79/1.88 inference(scs_inference,[],[15,219,224,233,238,244,17,18,220,16,20,218,225,229,239,120,186,101,199,168,41,47,193,147,141,35,98,32,31,24,25,22,30,23,26,2,13,12])).
% 1.79/1.88 cnf(256,plain,
% 1.79/1.88 (P1(a1,f4(f2(a1,a1)),a1)),
% 1.79/1.88 inference(scs_inference,[],[15,219,224,233,238,244,17,232,18,220,16,20,218,225,229,239,120,186,101,199,168,72,41,47,193,147,141,35,98,32,31,24,25,22,30,23,26,2,13,12,10])).
% 1.79/1.88 cnf(258,plain,
% 1.79/1.88 (~E(f5(a3,f2(a1,a1)),f2(a1,a1))),
% 1.79/1.88 inference(scs_inference,[],[15,219,224,233,238,244,17,232,18,220,16,20,218,225,229,239,120,186,197,101,199,168,70,72,41,47,193,147,141,35,98,32,31,24,25,22,30,23,26,2,13,12,10,3])).
% 1.79/1.88 cnf(260,plain,
% 1.79/1.88 (P2(f5(a1,x2601),x2602,f5(f2(a1,a1),f5(x2601,x2602)))),
% 1.79/1.88 inference(scs_inference,[],[15,219,224,233,238,244,17,232,18,220,16,20,218,225,229,239,120,186,213,197,101,199,168,71,70,72,41,47,193,147,141,35,98,32,31,24,25,22,30,23,26,2,13,12,10,3,14])).
% 1.79/1.88 cnf(263,plain,
% 1.79/1.88 (P1(f5(x2631,f2(x2632,a1)),a1,f5(x2631,x2632))),
% 1.79/1.88 inference(scs_inference,[],[15,219,224,233,238,244,248,17,232,18,220,16,20,218,225,229,239,120,186,213,197,101,199,168,71,70,72,41,47,193,147,141,35,98,32,31,24,25,22,30,23,26,2,13,12,10,3,14,11])).
% 1.79/1.88 cnf(264,plain,
% 1.79/1.88 (P1(x2641,a1,x2641)),
% 1.79/1.88 inference(rename_variables,[],[15])).
% 1.79/1.88 cnf(265,plain,
% 1.79/1.88 (P1(f5(x2651,x2652),a1,f5(x2651,f2(x2652,a1)))),
% 1.79/1.88 inference(scs_inference,[],[15,219,224,233,238,244,248,264,17,232,18,220,16,20,218,225,229,239,120,186,213,197,101,199,168,71,70,72,41,47,193,147,141,35,98,32,31,24,25,22,30,23,26,2,13,12,10,3,14,11,9])).
% 1.79/1.88 cnf(267,plain,
% 1.79/1.88 (~P2(a3,f4(a1),a1)),
% 1.79/1.88 inference(scs_inference,[],[15,219,224,233,238,244,248,264,17,232,18,220,16,20,218,225,229,239,120,186,213,197,101,199,168,71,70,72,41,47,193,147,141,35,98,32,31,24,25,22,30,23,26,2,13,12,10,3,14,11,9,73])).
% 1.79/1.88 cnf(280,plain,
% 1.79/1.88 (P1(a1,x2801,x2801)),
% 1.79/1.88 inference(rename_variables,[],[16])).
% 1.79/1.88 cnf(282,plain,
% 1.79/1.88 (P2(x2821,x2822,f5(x2821,x2822))),
% 1.79/1.88 inference(rename_variables,[],[20])).
% 1.79/1.88 cnf(284,plain,
% 1.79/1.88 (P2(x2841,f2(x2842,a1),f2(f5(x2841,a1),f5(x2841,x2842)))),
% 1.79/1.88 inference(scs_inference,[],[16,280,19,17,20,282,124,109,31,32])).
% 1.79/1.88 cnf(286,plain,
% 1.79/1.88 (P1(a1,x2861,x2861)),
% 1.79/1.88 inference(rename_variables,[],[16])).
% 1.79/1.88 cnf(287,plain,
% 1.79/1.88 (P1(x2871,x2872,f2(x2871,x2872))),
% 1.79/1.88 inference(rename_variables,[],[19])).
% 1.79/1.88 cnf(288,plain,
% 1.79/1.88 (P2(x2881,x2882,f5(x2881,x2882))),
% 1.79/1.88 inference(rename_variables,[],[20])).
% 1.79/1.88 cnf(290,plain,
% 1.79/1.88 (~P1(f5(a3,a1),f2(f5(a1,a1),f5(a3,a1)),f2(a1,a1))),
% 1.79/1.88 inference(scs_inference,[],[16,280,19,287,17,20,282,222,124,66,109,31,32,25])).
% 1.79/1.88 cnf(291,plain,
% 1.79/1.88 (P1(x2911,x2912,f2(x2911,x2912))),
% 1.79/1.88 inference(rename_variables,[],[19])).
% 1.79/1.88 cnf(294,plain,
% 1.79/1.88 (~P1(f4(a1),a1,f5(a3,a1))),
% 1.79/1.88 inference(scs_inference,[],[16,280,286,19,287,291,17,20,282,222,195,124,66,109,31,32,25,26])).
% 1.79/1.89 cnf(295,plain,
% 1.79/1.89 (P1(x2951,x2952,f2(x2951,x2952))),
% 1.79/1.89 inference(rename_variables,[],[19])).
% 1.79/1.89 cnf(296,plain,
% 1.79/1.89 (P1(a1,x2961,x2961)),
% 1.79/1.89 inference(rename_variables,[],[16])).
% 1.79/1.89 cnf(297,plain,
% 1.79/1.89 (~P1(x2971,f2(f4(x2971),a1),f5(a3,a1))),
% 1.79/1.89 inference(rename_variables,[],[195])).
% 1.79/1.89 cnf(299,plain,
% 1.79/1.89 (P1(a1,f5(x2991,f2(x2992,a1)),f5(x2991,x2992))),
% 1.79/1.89 inference(scs_inference,[],[16,280,286,19,287,291,17,20,282,222,195,124,263,66,109,31,32,25,26,22])).
% 1.79/1.89 cnf(301,plain,
% 1.79/1.89 (~P1(a1,f5(a3,a1),a1)),
% 1.79/1.89 inference(scs_inference,[],[16,280,286,296,33,19,287,291,17,20,282,222,195,124,263,66,109,31,32,25,26,22,23])).
% 1.79/1.89 cnf(302,plain,
% 1.79/1.89 (P1(a1,x3021,x3021)),
% 1.79/1.89 inference(rename_variables,[],[16])).
% 1.79/1.89 cnf(304,plain,
% 1.79/1.89 (~E(f2(a1,a1),f5(a3,f2(a1,a1)))),
% 1.79/1.89 inference(scs_inference,[],[16,280,286,296,33,19,287,291,17,20,282,258,222,195,124,263,66,109,31,32,25,26,22,23,2])).
% 1.79/1.89 cnf(308,plain,
% 1.79/1.89 (P1(a1,x3081,x3081)),
% 1.79/1.89 inference(rename_variables,[],[16])).
% 1.79/1.89 cnf(309,plain,
% 1.79/1.89 (~P1(x3091,f2(f4(x3091),a1),f5(a3,a1))),
% 1.79/1.89 inference(rename_variables,[],[195])).
% 1.79/1.89 cnf(310,plain,
% 1.79/1.89 (P2(x3101,a1,f5(x3101,f4(a1)))),
% 1.79/1.89 inference(scs_inference,[],[16,280,286,296,302,33,35,19,287,291,17,20,282,288,148,258,222,195,297,124,263,242,66,109,31,32,25,26,22,23,2,12,10,13])).
% 1.79/1.89 cnf(312,plain,
% 1.79/1.89 (E(x3121,f2(x3121,f2(a1,a1)))),
% 1.79/1.89 inference(scs_inference,[],[16,280,286,296,302,33,35,19,287,291,17,20,282,288,148,258,222,195,297,68,124,263,242,66,109,31,32,25,26,22,23,2,12,10,13,3])).
% 1.79/1.89 cnf(313,plain,
% 1.79/1.89 (E(x3131,f2(x3131,a1))),
% 1.79/1.89 inference(rename_variables,[],[35])).
% 1.79/1.89 cnf(314,plain,
% 1.79/1.89 (~E(f2(f4(a1),a1),f5(a3,a1))),
% 1.79/1.89 inference(scs_inference,[],[16,280,286,296,302,308,33,35,19,287,291,17,20,282,288,148,258,222,195,297,309,68,124,263,242,66,109,31,32,25,26,22,23,2,12,10,13,3,11])).
% 1.79/1.89 cnf(317,plain,
% 1.79/1.89 (~P2(f2(a3,a3),a1,f4(a1))),
% 1.79/1.89 inference(scs_inference,[],[16,280,286,296,302,308,33,35,19,287,291,17,20,282,288,148,258,222,195,297,309,68,124,263,242,66,109,31,32,25,26,22,23,2,12,10,13,3,11,14])).
% 1.79/1.89 cnf(318,plain,
% 1.79/1.89 (~E(f5(a3,a1),f4(a1))),
% 1.79/1.89 inference(scs_inference,[],[16,280,286,296,302,308,33,35,19,287,291,295,17,20,282,288,148,258,222,235,195,297,309,68,124,263,242,66,109,31,32,25,26,22,23,2,12,10,13,3,11,14,9])).
% 1.79/1.89 cnf(321,plain,
% 1.79/1.89 (E(f2(x3211,x3212),f2(x3211,f2(x3212,a1)))),
% 1.79/1.89 inference(scs_inference,[],[16,280,286,296,302,308,33,35,313,19,287,291,295,17,20,282,288,148,258,222,235,195,297,309,68,124,263,242,66,109,31,32,25,26,22,23,2,12,10,13,3,11,14,9,8])).
% 1.79/1.89 cnf(322,plain,
% 1.79/1.89 (E(f2(x3221,x3222),f2(f2(x3221,a1),x3222))),
% 1.79/1.89 inference(scs_inference,[],[16,280,286,296,302,308,33,35,313,19,287,291,295,17,20,282,288,148,258,222,235,195,297,309,68,124,263,242,66,109,31,32,25,26,22,23,2,12,10,13,3,11,14,9,8,7])).
% 1.79/1.89 cnf(323,plain,
% 1.79/1.89 (E(f5(x3231,f4(a1)),f5(x3231,a1))),
% 1.79/1.89 inference(scs_inference,[],[16,280,286,296,302,308,33,35,313,19,287,291,295,17,20,282,288,148,258,222,235,195,297,309,68,124,263,242,66,109,31,32,25,26,22,23,2,12,10,13,3,11,14,9,8,7,6])).
% 1.79/1.89 cnf(324,plain,
% 1.79/1.89 (E(f5(x3241,x3242),f5(f2(x3241,a1),x3242))),
% 1.79/1.89 inference(scs_inference,[],[16,280,286,296,302,308,33,35,313,19,287,291,295,17,20,282,288,148,258,222,235,195,297,309,68,124,263,242,66,109,31,32,25,26,22,23,2,12,10,13,3,11,14,9,8,7,6,5])).
% 1.79/1.89 cnf(325,plain,
% 1.79/1.89 (E(f4(x3251),f4(f2(x3251,a1)))),
% 1.79/1.89 inference(scs_inference,[],[16,280,286,296,302,308,33,35,313,19,287,291,295,17,20,282,288,148,258,222,235,195,297,309,68,124,263,242,66,109,31,32,25,26,22,23,2,12,10,13,3,11,14,9,8,7,6,5,4])).
% 1.79/1.89 cnf(326,plain,
% 1.79/1.89 (~P2(f2(a3,a1),a1,f4(f5(a3,a1)))),
% 1.79/1.89 inference(scs_inference,[],[16,280,286,296,302,308,33,35,313,19,287,291,295,17,20,282,288,148,258,222,235,195,297,309,68,124,263,242,66,113,109,111,31,32,25,26,22,23,2,12,10,13,3,11,14,9,8,7,6,5,4,24])).
% 1.79/1.89 cnf(336,plain,
% 1.79/1.89 (~P1(f2(a1,a1),f5(a3,a1),a1)),
% 1.79/1.89 inference(scs_inference,[],[16,155,172,26])).
% 1.79/1.89 cnf(337,plain,
% 1.79/1.89 (P1(a1,x3371,x3371)),
% 1.79/1.89 inference(rename_variables,[],[16])).
% 1.79/1.89 cnf(340,plain,
% 1.79/1.89 (P1(f5(f4(a1),f2(x3401,a1)),f5(a1,x3401),f5(a1,x3401))),
% 1.79/1.89 inference(scs_inference,[],[16,18,20,155,191,172,26,30])).
% 1.79/1.89 cnf(343,plain,
% 1.79/1.89 (P2(x3431,x3432,f5(x3431,x3432))),
% 1.79/1.89 inference(rename_variables,[],[20])).
% 1.79/1.89 cnf(344,plain,
% 1.79/1.89 (P2(x3441,x3442,f5(x3441,f2(x3442,a1)))),
% 1.79/1.89 inference(rename_variables,[],[191])).
% 1.79/1.89 cnf(347,plain,
% 1.79/1.89 (P1(a1,x3471,x3471)),
% 1.79/1.89 inference(rename_variables,[],[16])).
% 1.79/1.89 cnf(350,plain,
% 1.79/1.89 (P1(f5(x3501,a1),f5(x3501,a1),f5(x3501,f2(a1,a1)))),
% 1.79/1.89 inference(scs_inference,[],[16,337,347,18,20,343,155,191,344,172,186,26,30,25,29])).
% 1.79/1.89 cnf(351,plain,
% 1.79/1.89 (P2(x3511,x3512,f5(x3511,f2(x3512,a1)))),
% 1.79/1.89 inference(rename_variables,[],[191])).
% 1.79/1.89 cnf(353,plain,
% 1.79/1.89 (P2(x3531,x3532,f5(x3531,x3532))),
% 1.79/1.89 inference(rename_variables,[],[20])).
% 1.79/1.89 cnf(354,plain,
% 1.79/1.89 (P1(a1,x3541,x3541)),
% 1.79/1.89 inference(rename_variables,[],[16])).
% 1.79/1.89 cnf(356,plain,
% 1.79/1.89 (~P1(f2(f5(a1,a1),f5(a3,a1)),f5(a3,a1),f2(a1,a1))),
% 1.79/1.89 inference(scs_inference,[],[16,337,347,18,20,343,290,155,191,344,172,186,26,30,25,29,22])).
% 1.79/1.89 cnf(359,plain,
% 1.79/1.89 (P2(x3591,x3592,f5(x3591,x3592))),
% 1.79/1.89 inference(rename_variables,[],[20])).
% 1.79/1.89 cnf(361,plain,
% 1.79/1.89 (~P1(a1,f5(a3,f2(a1,a1)),f2(a1,a1))),
% 1.79/1.89 inference(scs_inference,[],[16,337,347,354,18,20,343,353,290,155,304,191,344,314,172,186,26,30,25,29,22,24,23])).
% 1.79/1.89 cnf(362,plain,
% 1.79/1.89 (P1(a1,x3621,x3621)),
% 1.79/1.89 inference(rename_variables,[],[16])).
% 1.79/1.89 cnf(366,plain,
% 1.79/1.89 (P2(x3661,x3662,f5(x3661,x3662))),
% 1.79/1.89 inference(rename_variables,[],[20])).
% 1.79/1.89 cnf(367,plain,
% 1.79/1.89 (P2(x3671,x3672,f5(x3671,x3672))),
% 1.79/1.89 inference(rename_variables,[],[20])).
% 1.79/1.89 cnf(369,plain,
% 1.79/1.89 (~P1(f2(f2(x3691,a1),a1),f4(x3691),f5(a3,a1))),
% 1.79/1.89 inference(scs_inference,[],[16,337,347,354,18,20,343,353,359,290,155,304,191,344,351,325,203,314,172,186,26,30,25,29,22,24,23,28,10])).
% 1.79/1.89 cnf(372,plain,
% 1.79/1.89 (E(f2(x3721,a1),x3721)),
% 1.79/1.89 inference(rename_variables,[],[108])).
% 1.79/1.89 cnf(373,plain,
% 1.79/1.89 (E(x3731,f2(f2(x3731,a1),f2(a1,a1)))),
% 1.79/1.89 inference(scs_inference,[],[16,337,347,354,18,35,20,343,353,359,312,290,155,304,191,344,351,325,203,314,217,172,186,108,26,30,25,29,22,24,23,28,10,12,3])).
% 1.79/1.89 cnf(374,plain,
% 1.79/1.89 (E(x3741,f2(x3741,f2(a1,a1)))),
% 1.79/1.89 inference(rename_variables,[],[312])).
% 1.79/1.89 cnf(375,plain,
% 1.79/1.89 (E(f2(x3751,f2(a1,a1)),x3751)),
% 1.79/1.89 inference(scs_inference,[],[16,337,347,354,18,35,20,343,353,359,312,374,290,155,304,191,344,351,325,203,314,217,172,186,108,26,30,25,29,22,24,23,28,10,12,3,2])).
% 1.79/1.89 cnf(376,plain,
% 1.79/1.89 (P2(f5(a1,x3761),f2(x3762,a1),f5(f2(a1,a1),f5(x3761,x3762)))),
% 1.79/1.89 inference(scs_inference,[],[16,337,347,354,18,35,20,343,353,359,312,374,290,155,304,191,344,351,325,203,260,314,217,172,186,108,26,30,25,29,22,24,23,28,10,12,3,2,13])).
% 1.79/1.89 cnf(379,plain,
% 1.79/1.89 (E(x3791,f2(x3791,a1))),
% 1.79/1.89 inference(rename_variables,[],[35])).
% 1.79/1.89 cnf(380,plain,
% 1.79/1.89 (P2(x3801,x3802,f2(f5(x3801,x3802),a1))),
% 1.79/1.89 inference(scs_inference,[],[16,337,347,354,18,35,379,20,343,353,359,367,312,374,290,155,304,191,344,351,325,203,260,314,217,172,186,108,26,30,25,29,22,24,23,28,10,12,3,2,13,11,14])).
% 1.79/1.89 cnf(382,plain,
% 1.79/1.89 (~P1(f2(a1,a1),a1,f5(a3,a1))),
% 1.79/1.89 inference(scs_inference,[],[16,337,347,354,18,35,379,20,343,353,359,367,312,374,290,155,304,191,344,351,325,203,260,314,217,172,186,108,372,26,30,25,29,22,24,23,28,10,12,3,2,13,11,14,9])).
% 1.79/1.89 cnf(386,plain,
% 1.79/1.89 (P2(x3861,x3862,f5(x3861,x3862))),
% 1.79/1.89 inference(rename_variables,[],[20])).
% 1.79/1.89 cnf(388,plain,
% 1.79/1.89 (P2(f5(x3881,x3882),f2(x3883,a1),f5(x3881,f5(x3882,x3883)))),
% 1.79/1.89 inference(scs_inference,[],[16,337,347,354,362,18,35,379,20,343,353,359,367,386,366,312,374,290,155,304,191,344,351,325,203,260,314,217,172,265,186,109,108,372,26,30,25,29,22,24,23,28,10,12,3,2,13,11,14,9,32,27])).
% 1.79/1.89 cnf(395,plain,
% 1.79/1.89 (P1(f5(x3951,x3952),f2(f5(x3951,a1),f5(x3951,a1)),f5(x3951,x3952))),
% 1.79/1.89 inference(scs_inference,[],[38,20,284,29])).
% 1.79/1.89 cnf(397,plain,
% 1.79/1.89 (P2(x3971,x3972,f5(x3971,x3972))),
% 1.79/1.89 inference(rename_variables,[],[20])).
% 1.79/1.89 cnf(398,plain,
% 1.79/1.89 (P2(x3981,x3982,f5(x3981,x3982))),
% 1.79/1.89 inference(rename_variables,[],[20])).
% 1.79/1.89 cnf(400,plain,
% 1.79/1.89 (~P1(f4(a1),f4(f2(a1,a1)),f5(a3,a1))),
% 1.79/1.89 inference(scs_inference,[],[38,18,20,284,294,29,26])).
% 1.79/1.89 cnf(401,plain,
% 1.79/1.89 (P1(x4011,f2(a1,a1),x4011)),
% 1.79/1.89 inference(rename_variables,[],[38])).
% 1.79/1.89 cnf(402,plain,
% 1.79/1.89 (P1(f4(x4021),x4021,a1)),
% 1.79/1.89 inference(rename_variables,[],[18])).
% 1.79/1.89 cnf(405,plain,
% 1.79/1.89 (P1(x4051,f4(x4051),a1)),
% 1.79/1.89 inference(rename_variables,[],[17])).
% 1.79/1.89 cnf(406,plain,
% 1.79/1.89 (P1(f4(x4061),x4061,a1)),
% 1.79/1.89 inference(rename_variables,[],[18])).
% 1.79/1.89 cnf(407,plain,
% 1.79/1.89 (P1(x4071,f2(a1,a1),x4071)),
% 1.79/1.89 inference(rename_variables,[],[38])).
% 1.79/1.89 cnf(409,plain,
% 1.79/1.89 (P2(x4091,f5(x4092,x4093),f5(f5(x4091,x4092),f2(x4093,a1)))),
% 1.79/1.89 inference(scs_inference,[],[17,38,401,18,402,20,398,397,284,294,109,29,26,25,28])).
% 1.79/1.89 cnf(411,plain,
% 1.79/1.89 (P2(x4111,x4112,f5(x4111,x4112))),
% 1.79/1.89 inference(rename_variables,[],[20])).
% 1.79/1.89 cnf(415,plain,
% 1.79/1.89 (E(f2(f5(x4151,a1),f5(x4151,a1)),f5(x4151,a1))),
% 1.79/1.89 inference(scs_inference,[],[17,38,401,18,402,20,398,397,284,340,294,41,109,29,26,25,28,22,24])).
% 1.79/1.89 cnf(417,plain,
% 1.79/1.89 (P2(x4171,x4172,f5(x4171,x4172))),
% 1.79/1.89 inference(rename_variables,[],[20])).
% 1.79/1.89 cnf(419,plain,
% 1.79/1.89 (E(f4(f2(a1,a1)),a1)),
% 1.79/1.89 inference(scs_inference,[],[17,38,401,407,18,402,406,20,398,397,284,340,294,41,109,29,26,25,28,22,24,23])).
% 1.79/1.89 cnf(421,plain,
% 1.79/1.89 (P1(x4211,f2(a1,a1),x4211)),
% 1.79/1.89 inference(rename_variables,[],[38])).
% 1.79/1.89 cnf(423,plain,
% 1.79/1.89 (P1(x4231,f2(f4(x4231),a1),a1)),
% 1.79/1.89 inference(scs_inference,[],[17,405,38,401,407,18,402,406,20,398,397,35,284,340,294,41,109,29,26,25,28,22,24,23,10])).
% 1.79/1.89 cnf(424,plain,
% 1.79/1.89 (E(x4241,f2(x4241,a1))),
% 1.79/1.89 inference(rename_variables,[],[35])).
% 1.79/1.89 cnf(425,plain,
% 1.79/1.89 (P2(f2(f2(x4251,a1),f2(a1,a1)),x4252,f5(x4251,x4252))),
% 1.79/1.89 inference(scs_inference,[],[17,405,38,401,407,18,402,406,20,398,417,397,35,373,284,340,294,41,109,29,26,25,28,22,24,23,10,12])).
% 1.79/1.89 cnf(427,plain,
% 1.79/1.89 (~E(f2(f5(a3,a1),a1),a1)),
% 1.79/1.89 inference(scs_inference,[],[17,405,38,401,407,33,18,402,406,20,398,417,397,35,424,373,284,340,294,41,109,29,26,25,28,22,24,23,10,12,3])).
% 1.79/1.89 cnf(428,plain,
% 1.79/1.89 (E(x4281,f2(x4281,a1))),
% 1.79/1.89 inference(rename_variables,[],[35])).
% 1.79/1.89 cnf(429,plain,
% 1.79/1.89 (~E(f4(a1),f5(a3,a1))),
% 1.79/1.89 inference(scs_inference,[],[17,405,38,401,407,33,18,402,406,20,398,417,397,35,424,373,284,318,340,294,41,109,29,26,25,28,22,24,23,10,12,3,2])).
% 1.79/1.89 cnf(430,plain,
% 1.79/1.89 (~P2(f2(a3,a3),f2(a1,f2(a1,a1)),f2(a1,a1))),
% 1.79/1.89 inference(scs_inference,[],[17,405,38,401,407,33,18,402,406,20,398,417,397,35,424,375,373,284,318,340,237,294,41,109,29,26,25,28,22,24,23,10,12,3,2,13])).
% 1.79/1.89 cnf(432,plain,
% 1.79/1.89 (P1(x4321,f4(x4321),f2(a1,a1))),
% 1.79/1.89 inference(scs_inference,[],[17,405,38,401,407,33,18,402,406,20,398,417,397,35,424,428,375,373,284,318,340,237,294,41,109,29,26,25,28,22,24,23,10,12,3,2,13,11])).
% 1.79/1.89 cnf(433,plain,
% 1.79/1.89 (E(x4331,f2(x4331,a1))),
% 1.79/1.89 inference(rename_variables,[],[35])).
% 1.79/1.89 cnf(434,plain,
% 1.79/1.89 (~E(f2(f5(a3,a1),f5(a3,a1)),f2(a1,a1))),
% 1.79/1.89 inference(scs_inference,[],[17,405,38,401,407,33,18,402,406,20,398,417,397,35,424,428,375,373,284,318,340,237,294,120,41,109,29,26,25,28,22,24,23,10,12,3,2,13,11,14])).
% 1.79/1.89 cnf(435,plain,
% 1.79/1.89 (P2(f2(x4351,x4351),x4352,f2(f5(x4351,x4352),f5(x4351,x4352)))),
% 1.79/1.89 inference(rename_variables,[],[120])).
% 1.79/1.89 cnf(436,plain,
% 1.79/1.89 (P1(f2(x4361,a1),f4(x4361),a1)),
% 1.79/1.89 inference(scs_inference,[],[17,405,38,401,407,33,18,402,406,20,398,417,397,35,424,428,433,375,373,284,318,340,237,294,120,41,109,29,26,25,28,22,24,23,10,12,3,2,13,11,14,9])).
% 1.79/1.89 cnf(439,plain,
% 1.79/1.89 (P1(x4391,f2(a1,a1),x4391)),
% 1.79/1.89 inference(rename_variables,[],[38])).
% 1.79/1.89 cnf(441,plain,
% 1.79/1.89 (~P1(f5(a3,x4411),f5(a3,f4(x4411)),f2(a1,a1))),
% 1.79/1.89 inference(scs_inference,[],[17,405,38,401,407,421,33,18,402,406,20,398,417,397,411,35,424,428,433,375,373,284,318,340,162,237,294,120,141,41,109,29,26,25,28,22,24,23,10,12,3,2,13,11,14,9,31,32])).
% 1.79/1.89 cnf(443,plain,
% 1.79/1.89 (P2(x4431,x4432,f5(x4431,x4432))),
% 1.79/1.89 inference(rename_variables,[],[20])).
% 1.79/1.89 cnf(446,plain,
% 1.79/1.89 (P1(f5(x4461,x4462),f2(f5(a1,x4462),f5(a1,x4462)),f5(x4461,x4462))),
% 1.79/1.89 inference(scs_inference,[],[17,405,38,401,407,421,439,33,18,402,406,20,398,417,443,397,411,35,424,428,433,375,373,284,318,340,162,237,294,120,435,141,41,109,29,26,25,28,22,24,23,10,12,3,2,13,11,14,9,31,32,30])).
% 1.79/1.89 cnf(453,plain,
% 1.79/1.89 (P2(x4531,f2(x4532,x4532),f2(f5(x4531,x4532),f5(x4531,x4532)))),
% 1.79/1.89 inference(scs_inference,[],[19,20,66,32])).
% 1.79/1.89 cnf(455,plain,
% 1.79/1.89 (P1(x4551,x4552,f2(x4551,x4552))),
% 1.79/1.89 inference(rename_variables,[],[19])).
% 1.79/1.89 cnf(457,plain,
% 1.79/1.89 (P1(f4(a1),f5(x4571,x4572),f5(x4571,x4572))),
% 1.79/1.89 inference(scs_inference,[],[19,18,20,299,66,32,26])).
% 1.79/1.89 cnf(458,plain,
% 1.79/1.89 (P1(f4(x4581),x4581,a1)),
% 1.79/1.89 inference(rename_variables,[],[18])).
% 1.79/1.89 cnf(460,plain,
% 1.79/1.89 (~P1(f4(x4601),f5(a3,a1),f4(x4601))),
% 1.79/1.89 inference(scs_inference,[],[17,19,18,20,299,301,66,32,26,25])).
% 1.79/1.89 cnf(462,plain,
% 1.79/1.89 (~P1(f4(x4621),f2(f2(x4621,a1),a1),f5(a3,a1))),
% 1.79/1.89 inference(scs_inference,[],[17,19,18,20,369,299,301,66,32,26,25,22])).
% 1.79/1.89 cnf(464,plain,
% 1.79/1.89 (~P2(a3,a1,f4(a1))),
% 1.79/1.89 inference(scs_inference,[],[17,19,18,20,369,429,299,301,66,32,26,25,22,24])).
% 1.79/1.89 cnf(465,plain,
% 1.79/1.89 (P2(x4651,x4652,f5(x4651,x4652))),
% 1.79/1.89 inference(rename_variables,[],[20])).
% 1.79/1.89 cnf(467,plain,
% 1.79/1.89 (~P1(f5(a3,a1),f2(a1,a1),a1)),
% 1.79/1.89 inference(scs_inference,[],[17,38,33,19,18,20,369,429,299,301,66,32,26,25,22,24,23])).
% 1.79/1.89 cnf(468,plain,
% 1.79/1.89 (P1(x4681,f2(a1,a1),x4681)),
% 1.79/1.89 inference(rename_variables,[],[38])).
% 1.79/1.89 cnf(470,plain,
% 1.79/1.89 (~E(f4(f2(a1,a1)),f5(a3,a1))),
% 1.79/1.89 inference(scs_inference,[],[17,38,33,19,18,20,369,429,336,299,301,66,32,26,25,22,24,23,10])).
% 1.79/1.89 cnf(472,plain,
% 1.79/1.89 (P2(f2(x4721,a1),f5(x4722,x4723),f5(f5(x4721,x4722),f2(x4723,a1)))),
% 1.79/1.89 inference(scs_inference,[],[17,38,33,19,18,35,20,409,369,429,336,299,301,66,32,26,25,22,24,23,10,12])).
% 1.79/1.89 cnf(474,plain,
% 1.79/1.89 (E(f4(f2(a1,a1)),f2(a1,a1))),
% 1.79/1.89 inference(scs_inference,[],[17,38,33,19,18,35,20,409,369,429,336,299,419,301,66,32,26,25,22,24,23,10,12,3])).
% 1.79/1.89 cnf(475,plain,
% 1.79/1.89 (E(x4751,f2(x4751,a1))),
% 1.79/1.89 inference(rename_variables,[],[35])).
% 1.79/1.89 cnf(476,plain,
% 1.79/1.89 (E(f2(x4761,f2(x4762,a1)),f2(x4761,x4762))),
% 1.79/1.89 inference(scs_inference,[],[17,38,33,19,18,35,20,409,321,369,429,336,299,419,301,66,32,26,25,22,24,23,10,12,3,2])).
% 1.79/1.89 cnf(477,plain,
% 1.79/1.89 (P2(x4771,f2(x4772,f2(a1,a1)),f5(x4771,x4772))),
% 1.79/1.89 inference(scs_inference,[],[17,38,33,19,18,35,20,465,409,321,369,429,336,299,419,301,312,66,32,26,25,22,24,23,10,12,3,2,13])).
% 1.79/1.89 cnf(479,plain,
% 1.79/1.89 (~E(f2(a1,a1),f5(a3,a1))),
% 1.79/1.89 inference(scs_inference,[],[17,38,33,19,18,35,20,465,432,409,321,369,429,336,299,419,301,312,106,66,32,26,25,22,24,23,10,12,3,2,13,11])).
% 1.79/1.89 cnf(481,plain,
% 1.79/1.89 (~P2(f2(a3,a3),f2(a1,f2(a1,a1)),a1)),
% 1.79/1.89 inference(scs_inference,[],[17,38,33,19,18,35,475,20,465,432,409,430,321,369,429,336,299,419,301,312,106,66,32,26,25,22,24,23,10,12,3,2,13,11,14])).
% 1.79/1.89 cnf(483,plain,
% 1.79/1.89 (~E(f4(f5(a3,a1)),f2(a1,a1))),
% 1.79/1.89 inference(scs_inference,[],[17,38,33,19,18,458,35,475,20,465,432,409,430,321,369,429,336,299,419,301,312,106,66,32,26,25,22,24,23,10,12,3,2,13,11,14,9])).
% 1.79/1.89 cnf(486,plain,
% 1.79/1.89 (P2(f2(x4861,x4861),a1,f5(x4861,f2(a1,a1)))),
% 1.79/1.89 inference(scs_inference,[],[17,38,33,19,455,18,458,35,475,20,465,432,409,430,321,369,350,429,336,299,419,301,312,106,66,32,26,25,22,24,23,10,12,3,2,13,11,14,9,73,31])).
% 1.79/1.89 cnf(487,plain,
% 1.79/1.89 (P1(x4871,x4872,f2(x4871,x4872))),
% 1.79/1.89 inference(rename_variables,[],[19])).
% 1.79/1.89 cnf(489,plain,
% 1.79/1.89 (P2(x4891,x4892,f5(x4891,x4892))),
% 1.79/1.89 inference(rename_variables,[],[20])).
% 1.79/1.89 cnf(492,plain,
% 1.79/1.89 (P2(x4921,x4922,f5(x4921,x4922))),
% 1.79/1.89 inference(rename_variables,[],[20])).
% 1.79/1.89 cnf(494,plain,
% 1.79/1.89 (~P2(f2(a1,a1),a1,f4(f5(a3,a1)))),
% 1.79/1.89 inference(scs_inference,[],[17,38,468,33,19,455,18,458,35,475,20,465,489,492,432,409,430,321,369,350,326,429,336,299,419,301,312,106,66,32,26,25,22,24,23,10,12,3,2,13,11,14,9,73,31,27,30])).
% 1.79/1.89 cnf(496,plain,
% 1.79/1.89 (P2(x4961,x4962,f5(x4961,x4962))),
% 1.79/1.89 inference(rename_variables,[],[20])).
% 1.79/1.89 cnf(497,plain,
% 1.79/1.89 (P2(x4971,x4972,f5(x4971,x4972))),
% 1.79/1.89 inference(rename_variables,[],[20])).
% 1.79/1.89 cnf(500,plain,
% 1.79/1.89 (~P2(a3,f2(x5001,f4(x5001)),f2(a1,a1))),
% 1.79/1.89 inference(scs_inference,[],[17,38,468,33,19,455,487,18,458,35,475,20,465,489,492,497,496,432,409,430,321,369,350,326,441,429,336,299,419,301,312,106,66,32,26,25,22,24,23,10,12,3,2,13,11,14,9,73,31,27,30,29])).
% 1.79/1.89 cnf(508,plain,
% 1.79/1.89 (~P1(f2(f2(a1,a1),f4(x5081)),x5081,f5(a3,a1))),
% 1.79/1.89 inference(scs_inference,[],[18,19,382,26])).
% 1.79/1.89 cnf(509,plain,
% 1.79/1.89 (P1(x5091,x5092,f2(x5091,x5092))),
% 1.79/1.89 inference(rename_variables,[],[19])).
% 1.79/1.89 cnf(511,plain,
% 1.79/1.89 (~P1(f4(x5111),f2(f2(a1,a1),f5(a3,a1)),f4(x5111))),
% 1.79/1.89 inference(scs_inference,[],[18,38,19,509,460,382,26,25])).
% 1.79/1.89 cnf(512,plain,
% 1.79/1.89 (P1(x5121,f2(a1,a1),x5121)),
% 1.79/1.89 inference(rename_variables,[],[38])).
% 1.79/1.89 cnf(515,plain,
% 1.79/1.89 (P1(f2(f5(x5151,a1),f5(x5151,a1)),f5(x5151,x5152),f5(x5151,x5152))),
% 1.79/1.89 inference(scs_inference,[],[18,38,19,509,460,395,382,26,25,22])).
% 1.79/1.89 cnf(518,plain,
% 1.79/1.89 (P2(x5181,x5182,f5(x5181,x5182))),
% 1.79/1.89 inference(rename_variables,[],[20])).
% 1.79/1.89 cnf(520,plain,
% 1.79/1.89 (~P1(f4(x5201),x5201,f5(a3,a1))),
% 1.79/1.89 inference(scs_inference,[],[18,38,33,19,509,20,460,470,395,382,26,25,22,24,23])).
% 1.79/1.89 cnf(524,plain,
% 1.79/1.89 (E(x5241,f2(f2(x5241,a1),a1))),
% 1.79/1.89 inference(scs_inference,[],[18,38,33,19,509,35,20,460,470,395,322,476,382,317,26,25,22,24,23,12,3])).
% 1.79/1.89 cnf(526,plain,
% 1.79/1.89 (~E(f2(a1,a1),f2(f5(a3,a1),f5(a3,a1)))),
% 1.79/1.89 inference(scs_inference,[],[18,38,33,19,509,35,20,460,434,470,395,322,476,382,317,26,25,22,24,23,12,3,2])).
% 1.79/1.89 cnf(529,plain,
% 1.79/1.89 (~P1(f4(x5291),f2(f5(a3,a1),f5(a3,a1)),f4(x5291))),
% 1.79/1.89 inference(scs_inference,[],[18,38,33,19,509,35,20,460,434,470,425,395,322,476,415,382,317,26,25,22,24,23,12,3,2,13,10])).
% 1.79/1.89 cnf(531,plain,
% 1.79/1.89 (~P1(f4(x5311),f5(a3,a1),f2(f4(x5311),f2(a1,a1)))),
% 1.79/1.89 inference(scs_inference,[],[18,38,33,19,509,35,20,460,434,470,425,395,322,476,415,382,317,375,26,25,22,24,23,12,3,2,13,10,11])).
% 1.79/1.89 cnf(532,plain,
% 1.79/1.89 (E(f2(x5321,f2(a1,a1)),x5321)),
% 1.79/1.89 inference(rename_variables,[],[375])).
% 1.79/1.89 cnf(533,plain,
% 1.79/1.89 (P2(x5331,x5332,f5(f2(x5331,a1),x5332))),
% 1.79/1.89 inference(scs_inference,[],[18,38,33,19,509,35,20,518,460,434,470,425,395,322,324,476,415,382,317,375,26,25,22,24,23,12,3,2,13,10,11,14])).
% 1.79/1.89 cnf(535,plain,
% 1.79/1.89 (~P1(f2(f4(x5351),f2(a1,a1)),f5(a3,a1),f4(x5351))),
% 1.79/1.89 inference(scs_inference,[],[18,38,33,19,509,35,20,518,460,434,470,425,395,322,324,476,415,382,317,375,532,26,25,22,24,23,12,3,2,13,10,11,14,9])).
% 1.79/1.89 cnf(537,plain,
% 1.79/1.89 (E(f2(x5371,f4(a1)),f2(x5371,a1))),
% 1.79/1.89 inference(scs_inference,[],[18,38,33,19,509,35,20,518,460,434,470,425,395,322,324,476,415,382,317,375,532,242,26,25,22,24,23,12,3,2,13,10,11,14,9,8])).
% 1.79/1.89 cnf(538,plain,
% 1.79/1.89 (E(f2(f2(x5381,a1),x5382),f2(x5381,x5382))),
% 1.79/1.89 inference(scs_inference,[],[18,38,33,19,509,35,20,518,460,434,470,425,395,322,324,476,415,382,317,375,532,108,242,26,25,22,24,23,12,3,2,13,10,11,14,9,8,7])).
% 1.79/1.89 cnf(539,plain,
% 1.79/1.89 (E(f5(f2(x5391,a1),x5392),f5(x5391,x5392))),
% 1.79/1.89 inference(scs_inference,[],[18,38,33,19,509,35,20,518,460,434,470,425,395,322,324,476,415,382,317,375,532,108,242,26,25,22,24,23,12,3,2,13,10,11,14,9,8,7,5])).
% 1.79/1.89 cnf(540,plain,
% 1.79/1.89 (E(f4(f2(x5401,a1)),f4(x5401))),
% 1.79/1.89 inference(scs_inference,[],[18,38,33,19,509,35,20,518,460,434,470,425,395,322,324,476,415,382,317,375,532,108,242,26,25,22,24,23,12,3,2,13,10,11,14,9,8,7,5,4])).
% 1.79/1.89 cnf(542,plain,
% 1.79/1.89 (P2(x5421,x5422,f5(x5421,x5422))),
% 1.79/1.89 inference(rename_variables,[],[20])).
% 1.79/1.89 cnf(543,plain,
% 1.79/1.89 (P1(x5431,f2(a1,a1),x5431)),
% 1.79/1.89 inference(rename_variables,[],[38])).
% 1.79/1.89 cnf(545,plain,
% 1.79/1.89 (P1(f5(x5451,x5452),f5(f2(a1,a1),f2(x5452,a1)),f5(x5451,x5452))),
% 1.79/1.89 inference(scs_inference,[],[18,38,512,543,33,19,509,35,20,518,542,460,434,470,425,395,322,324,476,415,382,317,375,532,108,242,26,25,22,24,23,12,3,2,13,10,11,14,9,8,7,5,4,31,30])).
% 1.79/1.89 cnf(557,plain,
% 1.79/1.89 (P2(a1,a1,f5(f4(a1),a1))),
% 1.79/1.89 inference(scs_inference,[],[18,41,20,446,31])).
% 1.79/1.89 cnf(559,plain,
% 1.79/1.89 (P2(x5591,a1,f2(f5(x5591,a1),f5(x5591,a1)))),
% 1.79/1.89 inference(rename_variables,[],[41])).
% 1.79/1.89 cnf(560,plain,
% 1.79/1.89 (P1(f4(x5601),x5601,a1)),
% 1.79/1.89 inference(rename_variables,[],[18])).
% 1.79/1.89 cnf(561,plain,
% 1.79/1.89 (P2(x5611,x5612,f5(x5611,x5612))),
% 1.79/1.89 inference(rename_variables,[],[20])).
% 1.79/1.89 cnf(563,plain,
% 1.79/1.89 (~P1(x5631,f2(f5(a3,a1),f4(a1)),x5631)),
% 1.79/1.89 inference(scs_inference,[],[18,560,41,20,520,446,246,31,26])).
% 1.79/1.90 cnf(564,plain,
% 1.79/1.90 (P1(f4(x5641),x5641,a1)),
% 1.79/1.90 inference(rename_variables,[],[18])).
% 1.79/1.90 cnf(567,plain,
% 1.79/1.90 (~P1(f5(a3,f2(a1,a1)),f4(x5671),f4(x5671))),
% 1.79/1.90 inference(scs_inference,[],[18,560,564,41,20,520,446,246,263,31,26,25])).
% 1.79/1.90 cnf(571,plain,
% 1.79/1.90 (~P1(f5(a3,a1),f4(x5711),f2(f4(x5711),f2(a1,a1)))),
% 1.79/1.90 inference(scs_inference,[],[18,560,564,41,20,520,531,446,246,263,31,26,25,22])).
% 1.79/1.90 cnf(573,plain,
% 1.79/1.90 (E(f5(x5731,a1),f2(f5(x5731,a1),f5(x5731,a1)))),
% 1.79/1.90 inference(scs_inference,[],[18,560,564,41,559,20,561,520,531,446,246,263,31,26,25,22,24])).
% 1.79/1.90 cnf(576,plain,
% 1.79/1.90 (E(a1,f4(f2(a1,a1)))),
% 1.79/1.90 inference(scs_inference,[],[18,560,564,41,559,38,20,561,520,531,446,246,263,31,26,25,22,24,23])).
% 1.79/1.90 cnf(578,plain,
% 1.79/1.90 (P1(f4(x5781),x5781,a1)),
% 1.79/1.90 inference(rename_variables,[],[18])).
% 1.79/1.90 cnf(580,plain,
% 1.79/1.90 (E(f2(a1,a1),f4(f2(a1,a1)))),
% 1.79/1.90 inference(scs_inference,[],[18,560,564,41,559,38,20,561,520,531,474,446,246,263,31,26,25,22,24,23,2])).
% 1.79/1.90 cnf(581,plain,
% 1.79/1.90 (~P2(a3,f2(f2(x5811,a1),f4(x5811)),f2(a1,a1))),
% 1.79/1.90 inference(scs_inference,[],[18,560,564,41,559,38,20,561,520,531,474,446,538,500,246,263,31,26,25,22,24,23,2,13])).
% 1.79/1.90 cnf(584,plain,
% 1.79/1.90 (P1(f4(x5841),f2(x5841,a1),a1)),
% 1.79/1.90 inference(scs_inference,[],[18,560,564,578,41,559,38,35,20,561,520,531,474,446,538,500,246,263,31,26,25,22,24,23,2,13,10])).
% 1.79/1.90 cnf(585,plain,
% 1.79/1.90 (E(x5851,f2(x5851,a1))),
% 1.79/1.90 inference(rename_variables,[],[35])).
% 1.79/1.90 cnf(586,plain,
% 1.79/1.90 (P2(f2(x5861,a1),a1,f2(f5(x5861,a1),f5(x5861,a1)))),
% 1.79/1.90 inference(scs_inference,[],[18,560,564,578,41,559,38,35,585,20,561,520,531,474,446,538,500,246,263,31,26,25,22,24,23,2,13,10,12])).
% 1.79/1.90 cnf(587,plain,
% 1.79/1.90 (E(x5871,f2(x5871,a1))),
% 1.79/1.90 inference(rename_variables,[],[35])).
% 1.79/1.90 cnf(588,plain,
% 1.79/1.90 (~E(f2(f2(a1,a1),a1),f5(a3,a1))),
% 1.79/1.90 inference(scs_inference,[],[18,560,564,578,41,559,38,35,585,587,20,561,520,531,479,474,446,538,500,246,263,31,26,25,22,24,23,2,13,10,12,3])).
% 1.79/1.90 cnf(589,plain,
% 1.79/1.90 (E(x5891,f2(x5891,a1))),
% 1.79/1.90 inference(rename_variables,[],[35])).
% 1.79/1.90 cnf(590,plain,
% 1.79/1.90 (P1(f4(x5901),x5901,f2(a1,a1))),
% 1.79/1.90 inference(scs_inference,[],[18,560,564,578,41,559,38,35,585,587,589,20,561,520,531,479,474,446,538,500,246,263,31,26,25,22,24,23,2,13,10,12,3,11])).
% 1.79/1.90 cnf(591,plain,
% 1.79/1.90 (E(x5911,f2(x5911,a1))),
% 1.79/1.90 inference(rename_variables,[],[35])).
% 1.79/1.90 cnf(594,plain,
% 1.79/1.90 (P1(f2(f4(x5941),a1),x5941,a1)),
% 1.79/1.90 inference(scs_inference,[],[18,560,564,578,41,559,38,35,585,587,589,591,20,561,520,531,477,479,474,446,538,500,481,246,263,31,26,25,22,24,23,2,13,10,12,3,11,14,9])).
% 1.79/1.90 cnf(596,plain,
% 1.79/1.90 (P2(x5961,f5(x5962,x5963),f5(f5(x5961,x5962),x5963))),
% 1.79/1.90 inference(scs_inference,[],[18,560,564,578,41,559,38,35,585,587,589,591,20,561,520,531,477,479,474,446,538,380,500,481,246,263,31,26,25,22,24,23,2,13,10,12,3,11,14,9,210])).
% 1.79/1.90 cnf(601,plain,
% 1.79/1.90 (~P1(f5(a3,a1),f4(x6011),f4(x6011))),
% 1.79/1.90 inference(scs_inference,[],[19,38,571,26])).
% 1.79/1.90 cnf(602,plain,
% 1.79/1.90 (P1(x6021,x6022,f2(x6021,x6022))),
% 1.79/1.90 inference(rename_variables,[],[19])).
% 1.79/1.90 cnf(605,plain,
% 1.79/1.90 (~P1(f5(a1,a1),f5(a1,a1),f4(f5(a3,a1)))),
% 1.79/1.90 inference(scs_inference,[],[19,602,38,20,571,494,26,31])).
% 1.79/1.90 cnf(606,plain,
% 1.79/1.90 (P2(x6061,x6062,f5(x6061,x6062))),
% 1.79/1.90 inference(rename_variables,[],[20])).
% 1.79/1.90 cnf(607,plain,
% 1.79/1.90 (P1(x6071,x6072,f2(x6071,x6072))),
% 1.79/1.90 inference(rename_variables,[],[19])).
% 1.79/1.90 cnf(609,plain,
% 1.79/1.90 (P1(a1,x6091,f2(f2(x6091,a1),f2(a1,a1)))),
% 1.79/1.90 inference(scs_inference,[],[19,602,607,38,20,590,571,494,436,26,31,25])).
% 1.79/1.90 cnf(611,plain,
% 1.79/1.90 (P1(x6111,x6112,f2(x6111,x6112))),
% 1.79/1.90 inference(rename_variables,[],[19])).
% 1.79/1.90 cnf(613,plain,
% 1.79/1.90 (P1(f5(f2(a1,a1),f2(x6131,a1)),f5(x6132,x6131),f5(x6132,x6131))),
% 1.79/1.90 inference(scs_inference,[],[19,602,607,38,20,590,571,545,494,436,26,31,25,22])).
% 1.79/1.90 cnf(615,plain,
% 1.79/1.90 (~P2(a3,a1,f2(f2(a1,a1),a1))),
% 1.79/1.90 inference(scs_inference,[],[19,602,607,38,20,606,590,571,588,545,494,436,26,31,25,22,24])).
% 1.79/1.90 cnf(618,plain,
% 1.79/1.90 (~P1(a1,a1,f2(f5(a3,a1),f5(a3,a1)))),
% 1.79/1.90 inference(scs_inference,[],[19,602,607,611,38,20,606,590,571,526,588,545,494,436,26,31,25,22,24,23])).
% 1.79/1.90 cnf(619,plain,
% 1.79/1.90 (P1(x6191,x6192,f2(x6191,x6192))),
% 1.79/1.90 inference(rename_variables,[],[19])).
% 1.79/1.90 cnf(621,plain,
% 1.79/1.90 (P2(a1,f2(x6211,a1),f2(f5(a1,x6211),f5(a1,x6211)))),
% 1.79/1.90 inference(scs_inference,[],[19,602,607,611,47,38,35,20,606,590,571,526,588,545,494,436,26,31,25,22,24,23,13])).
% 1.79/1.90 cnf(622,plain,
% 1.79/1.90 (E(x6221,f2(x6221,a1))),
% 1.79/1.90 inference(rename_variables,[],[35])).
% 1.79/1.90 cnf(623,plain,
% 1.79/1.90 (~E(a1,f5(a3,f2(a1,a1)))),
% 1.79/1.90 inference(scs_inference,[],[19,602,607,611,619,47,38,35,20,606,590,571,526,588,545,361,494,436,26,31,25,22,24,23,13,10])).
% 1.79/1.90 cnf(625,plain,
% 1.79/1.90 (P2(f2(x6251,a1),f2(x6252,x6252),f2(f5(x6251,x6252),f5(x6251,x6252)))),
% 1.79/1.90 inference(scs_inference,[],[19,602,607,611,619,47,38,35,622,20,606,453,590,571,526,588,545,361,494,436,26,31,25,22,24,23,13,10,12])).
% 1.79/1.90 cnf(627,plain,
% 1.79/1.90 (E(f4(a1),f2(a1,a1))),
% 1.79/1.90 inference(scs_inference,[],[19,602,607,611,619,47,38,35,622,20,606,453,590,571,526,588,545,361,494,436,242,26,31,25,22,24,23,13,10,12,3])).
% 1.79/1.90 cnf(628,plain,
% 1.79/1.90 (E(x6281,f2(x6281,a1))),
% 1.79/1.90 inference(rename_variables,[],[35])).
% 1.79/1.90 cnf(629,plain,
% 1.79/1.90 (~E(f5(a3,a1),f2(f2(a1,a1),a1))),
% 1.79/1.90 inference(scs_inference,[],[19,602,607,611,619,47,38,35,622,20,606,453,590,571,526,588,545,361,494,436,242,26,31,25,22,24,23,13,10,12,3,2])).
% 1.79/1.90 cnf(630,plain,
% 1.79/1.90 (~E(f5(a3,a1),f2(f4(a1),f2(a1,a1)))),
% 1.79/1.90 inference(scs_inference,[],[19,602,607,611,619,47,38,35,622,20,606,453,590,571,526,588,545,457,361,494,436,531,242,26,31,25,22,24,23,13,10,12,3,2,11])).
% 1.79/1.90 cnf(633,plain,
% 1.79/1.90 (~P2(a3,f2(f2(x6331,a1),f4(x6331)),a1)),
% 1.79/1.90 inference(scs_inference,[],[19,602,607,611,619,47,38,35,622,628,20,606,453,590,571,526,588,545,457,361,494,581,436,531,242,26,31,25,22,24,23,13,10,12,3,2,11,14])).
% 1.79/1.90 cnf(634,plain,
% 1.79/1.90 (E(x6341,f2(x6341,a1))),
% 1.79/1.90 inference(rename_variables,[],[35])).
% 1.79/1.90 cnf(635,plain,
% 1.79/1.90 (P1(f2(x6351,a1),f2(f4(x6351),a1),a1)),
% 1.79/1.90 inference(scs_inference,[],[19,602,607,611,619,47,38,35,622,628,634,20,606,453,590,571,526,588,545,457,361,494,581,423,436,531,242,26,31,25,22,24,23,13,10,12,3,2,11,14,9])).
% 1.79/1.90 cnf(640,plain,
% 1.79/1.90 (P1(f4(x6401),f2(f2(a1,a1),x6401),f2(a1,a1))),
% 1.79/1.90 inference(scs_inference,[],[19,38,590,26])).
% 1.79/1.90 cnf(642,plain,
% 1.79/1.90 (P1(x6421,x6422,f2(x6421,x6422))),
% 1.79/1.90 inference(rename_variables,[],[19])).
% 1.79/1.90 cnf(643,plain,
% 1.79/1.90 (P1(x6431,f2(a1,a1),x6431)),
% 1.79/1.90 inference(rename_variables,[],[38])).
% 1.79/1.90 cnf(645,plain,
% 1.79/1.90 (~P1(f5(a3,a1),f2(f4(x6451),f2(a1,a1)),f4(x6451))),
% 1.79/1.90 inference(scs_inference,[],[19,38,535,590,26,22])).
% 1.79/1.90 cnf(647,plain,
% 1.79/1.90 (~P1(f2(a1,a1),f5(a3,a1),f2(a1,a1))),
% 1.79/1.90 inference(scs_inference,[],[19,642,38,643,535,590,26,22,25])).
% 1.79/1.90 cnf(648,plain,
% 1.79/1.90 (P1(x6481,f2(a1,a1),x6481)),
% 1.79/1.90 inference(rename_variables,[],[38])).
% 1.79/1.90 cnf(652,plain,
% 1.79/1.90 (P2(x6521,x6522,f5(x6521,x6522))),
% 1.79/1.90 inference(rename_variables,[],[20])).
% 1.79/1.90 cnf(654,plain,
% 1.79/1.90 (~P1(a1,f2(a1,a1),f5(a3,a1))),
% 1.79/1.90 inference(scs_inference,[],[19,642,33,38,643,648,20,535,630,590,26,22,25,24,23])).
% 1.79/1.90 cnf(657,plain,
% 1.79/1.90 (~P1(f5(a3,a1),f2(a1,a1),f4(f2(a1,a1)))),
% 1.79/1.90 inference(scs_inference,[],[19,642,33,38,643,648,20,601,535,580,630,590,26,22,25,24,23,10])).
% 1.79/1.90 cnf(658,plain,
% 1.79/1.90 (~P1(f5(a3,a1),f4(x6581),f4(x6581))),
% 1.79/1.90 inference(rename_variables,[],[601])).
% 1.79/1.90 cnf(661,plain,
% 1.79/1.90 (~E(a1,f5(f2(a3,a1),f2(a1,a1)))),
% 1.79/1.90 inference(scs_inference,[],[19,642,33,38,643,648,20,601,535,580,539,630,623,267,590,375,26,22,25,24,23,10,12,3])).
% 1.79/1.90 cnf(662,plain,
% 1.79/1.90 (E(f5(f2(x6621,a1),x6622),f5(x6621,x6622))),
% 1.79/1.90 inference(rename_variables,[],[539])).
% 1.79/1.90 cnf(663,plain,
% 1.79/1.90 (P2(x6631,f2(x6632,a1),f5(f2(x6631,a1),x6632))),
% 1.79/1.90 inference(scs_inference,[],[19,642,33,38,643,648,35,20,601,535,580,533,539,630,623,267,590,375,26,22,25,24,23,10,12,3,13])).
% 1.79/1.90 cnf(666,plain,
% 1.79/1.90 (~P1(f5(a3,a1),f4(f2(a1,a1)),f2(a1,a1))),
% 1.79/1.90 inference(scs_inference,[],[19,642,33,38,643,648,35,20,601,658,535,580,533,539,630,227,623,267,590,375,26,22,25,24,23,10,12,3,13,2,11])).
% 1.79/1.90 cnf(667,plain,
% 1.79/1.90 (~P1(f5(a3,a1),f4(x6671),f4(x6671))),
% 1.79/1.90 inference(rename_variables,[],[601])).
% 1.79/1.90 cnf(668,plain,
% 1.79/1.90 (P2(x6681,f4(a1),f5(x6681,a1))),
% 1.79/1.90 inference(scs_inference,[],[19,642,33,38,643,648,35,20,652,601,658,535,580,533,539,630,227,323,623,267,590,375,26,22,25,24,23,10,12,3,13,2,11,14])).
% 1.79/1.90 cnf(671,plain,
% 1.79/1.90 (~P1(f5(f2(a3,a1),a1),f4(x6711),f4(x6711))),
% 1.79/1.90 inference(scs_inference,[],[19,642,33,38,643,648,35,20,652,601,658,667,535,580,533,539,662,630,227,323,623,267,590,375,26,22,25,24,23,10,12,3,13,2,11,14,9])).
% 1.79/1.90 cnf(684,plain,
% 1.79/1.90 (P2(x6841,x6842,f5(x6841,x6842))),
% 1.79/1.90 inference(rename_variables,[],[20])).
% 1.79/1.90 cnf(686,plain,
% 1.79/1.90 (P1(a1,x6861,f2(f2(x6861,a1),f2(a1,a1)))),
% 1.79/1.90 inference(rename_variables,[],[609])).
% 1.79/1.90 cnf(689,plain,
% 1.79/1.90 (P1(x6891,f2(a1,a1),x6891)),
% 1.79/1.90 inference(rename_variables,[],[38])).
% 1.79/1.90 cnf(690,plain,
% 1.79/1.90 (P2(x6901,x6902,f5(x6901,x6902))),
% 1.79/1.90 inference(rename_variables,[],[20])).
% 1.79/1.90 cnf(692,plain,
% 1.79/1.90 (~P1(f5(a1,a1),f2(a1,a1),f4(f5(a3,a1)))),
% 1.79/1.90 inference(scs_inference,[],[20,684,53,47,38,689,605,609,395,32,29,26])).
% 1.79/1.90 cnf(694,plain,
% 1.79/1.90 (P1(f5(a1,x6941),f5(a1,x6941),f5(a1,x6941))),
% 1.79/1.90 inference(rename_variables,[],[53])).
% 1.79/1.90 cnf(696,plain,
% 1.79/1.90 (P1(f2(f2(a1,a1),x6961),f4(x6961),f2(a1,a1))),
% 1.79/1.90 inference(scs_inference,[],[20,684,53,47,38,689,640,605,609,395,32,29,26,22])).
% 1.79/1.90 cnf(698,plain,
% 1.79/1.90 (~P1(a1,f5(a3,a1),f2(a1,a1))),
% 1.79/1.90 inference(scs_inference,[],[20,684,53,47,38,689,640,647,605,609,432,395,457,32,29,26,22,25])).
% 1.79/1.90 cnf(702,plain,
% 1.79/1.90 (E(f5(x7021,a1),f5(x7021,f4(a1)))),
% 1.79/1.90 inference(scs_inference,[],[20,684,690,53,47,38,689,640,647,605,668,609,432,395,457,32,29,26,22,25,24])).
% 1.79/1.90 cnf(704,plain,
% 1.79/1.90 (P2(x7041,x7042,f5(x7041,x7042))),
% 1.79/1.90 inference(rename_variables,[],[20])).
% 1.79/1.90 cnf(706,plain,
% 1.79/1.90 (E(f2(f2(a1,a1),f2(a1,a1)),a1)),
% 1.79/1.90 inference(scs_inference,[],[20,684,690,53,47,38,689,640,647,605,668,609,686,432,395,457,15,32,29,26,22,25,24,23])).
% 1.79/1.90 cnf(710,plain,
% 1.79/1.90 (~E(f2(a1,a1),f5(f2(a3,a1),f2(a1,a1)))),
% 1.79/1.90 inference(scs_inference,[],[20,684,690,53,47,38,689,35,640,647,605,668,609,686,661,432,395,457,15,32,29,26,22,25,24,23,3])).
% 1.79/1.90 cnf(711,plain,
% 1.79/1.90 (E(x7111,f2(x7111,a1))),
% 1.79/1.90 inference(rename_variables,[],[35])).
% 1.79/1.90 cnf(712,plain,
% 1.79/1.90 (~P2(a3,f2(x7121,f4(x7121)),a1)),
% 1.79/1.90 inference(scs_inference,[],[20,684,690,53,47,38,689,35,640,647,605,668,609,686,661,633,432,395,322,457,15,32,29,26,22,25,24,23,3,13])).
% 1.79/1.90 cnf(717,plain,
% 1.79/1.90 (E(x7171,f2(x7171,a1))),
% 1.79/1.90 inference(rename_variables,[],[35])).
% 1.79/1.90 cnf(719,plain,
% 1.79/1.90 (E(x7191,f2(x7191,a1))),
% 1.79/1.90 inference(rename_variables,[],[35])).
% 1.79/1.90 cnf(720,plain,
% 1.79/1.90 (P2(f4(f2(a1,a1)),x7201,f5(a1,x7201))),
% 1.79/1.90 inference(scs_inference,[],[20,684,690,704,53,694,47,38,689,35,711,717,640,647,605,483,576,668,609,686,661,633,432,395,322,457,15,32,29,26,22,25,24,23,3,13,2,10,11,12])).
% 1.79/1.90 cnf(721,plain,
% 1.79/1.90 (P2(x7211,x7212,f5(x7211,x7212))),
% 1.79/1.90 inference(rename_variables,[],[20])).
% 1.79/1.90 cnf(722,plain,
% 1.79/1.90 (~E(f5(a3,f2(a1,a1)),f4(a1))),
% 1.79/1.90 inference(scs_inference,[],[20,684,690,704,53,694,47,38,689,35,711,717,640,647,605,483,576,668,486,609,686,661,633,432,395,322,457,317,15,32,29,26,22,25,24,23,3,13,2,10,11,12,14])).
% 1.79/1.90 cnf(726,plain,
% 1.79/1.90 (E(f2(f4(a1),x7261),f2(a1,x7261))),
% 1.79/1.90 inference(scs_inference,[],[20,684,690,704,53,694,47,38,689,35,711,717,719,640,647,605,483,576,668,486,609,686,661,633,432,395,322,457,317,242,15,32,29,26,22,25,24,23,3,13,2,10,11,12,14,9,7])).
% 1.79/1.90 cnf(727,plain,
% 1.79/1.90 (E(f4(f4(a1)),f4(a1))),
% 1.79/1.90 inference(scs_inference,[],[20,684,690,704,53,694,47,38,689,35,711,717,719,640,647,605,483,576,668,486,609,686,661,633,432,395,322,457,317,242,15,32,29,26,22,25,24,23,3,13,2,10,11,12,14,9,7,4])).
% 1.79/1.90 cnf(728,plain,
% 1.79/1.90 (E(f5(f4(a1),x7281),f5(a1,x7281))),
% 1.79/1.90 inference(scs_inference,[],[20,684,690,704,53,694,47,38,689,35,711,717,719,640,647,605,483,576,668,486,609,686,661,633,432,395,322,457,317,242,15,32,29,26,22,25,24,23,3,13,2,10,11,12,14,9,7,4,5])).
% 1.79/1.90 cnf(730,plain,
% 1.79/1.90 (P2(x7301,x7302,f5(x7301,x7302))),
% 1.79/1.90 inference(rename_variables,[],[20])).
% 1.79/1.90 cnf(732,plain,
% 1.79/1.90 (P2(a1,f5(a1,a1),f5(f5(a1,a1),f4(a1)))),
% 1.79/1.90 inference(scs_inference,[],[20,684,690,704,721,730,53,694,47,38,689,35,711,717,719,640,647,605,483,576,615,668,486,609,686,661,633,310,432,395,322,457,317,242,15,32,29,26,22,25,24,23,3,13,2,10,11,12,14,9,7,4,5,27,28])).
% 1.79/1.90 cnf(741,plain,
% 1.79/1.90 (~P1(f2(f2(a1,a1),f5(a3,a1)),f4(x7411),f4(x7411))),
% 1.79/1.90 inference(scs_inference,[],[511,22])).
% 1.79/1.90 cnf(743,plain,
% 1.79/1.90 (~P1(f4(f4(x7431)),f5(a3,a1),x7431)),
% 1.79/1.90 inference(scs_inference,[],[696,511,508,155,22,26])).
% 1.79/1.90 cnf(744,plain,
% 1.79/1.90 (P1(f2(f2(a1,a1),x7441),f4(x7441),f2(a1,a1))),
% 1.79/1.90 inference(rename_variables,[],[696])).
% 1.79/1.90 cnf(747,plain,
% 1.79/1.90 (~P1(f2(a1,a1),f2(f2(a1,a1),f2(a1,a1)),f5(a3,a1))),
% 1.79/1.90 inference(scs_inference,[],[38,696,744,511,508,666,155,22,26,25])).
% 1.79/1.90 cnf(748,plain,
% 1.79/1.90 (P1(f2(f2(a1,a1),x7481),f4(x7481),f2(a1,a1))),
% 1.79/1.90 inference(rename_variables,[],[696])).
% 1.79/1.90 cnf(751,plain,
% 1.79/1.90 (~P2(f2(a3,a1),f2(a1,a1),f2(a1,a1))),
% 1.79/1.90 inference(scs_inference,[],[20,38,696,744,511,508,710,666,155,22,26,25,24])).
% 1.79/1.90 cnf(752,plain,
% 1.79/1.90 (P2(x7521,x7522,f5(x7521,x7522))),
% 1.79/1.90 inference(rename_variables,[],[20])).
% 1.79/1.90 cnf(754,plain,
% 1.79/1.90 (~P1(f5(f2(a1,a1),f2(a1,a1)),f5(a3,a1),a1)),
% 1.79/1.90 inference(scs_inference,[],[20,33,38,696,744,511,508,710,666,613,155,22,26,25,24,23])).
% 1.79/1.90 cnf(757,plain,
% 1.79/1.90 (E(f4(a1),f2(f2(a1,a1),a1))),
% 1.79/1.90 inference(scs_inference,[],[20,33,38,35,696,744,511,508,710,666,613,627,155,22,26,25,24,23,3])).
% 1.79/1.90 cnf(758,plain,
% 1.79/1.90 (E(x7581,f2(x7581,a1))),
% 1.79/1.90 inference(rename_variables,[],[35])).
% 1.79/1.90 cnf(759,plain,
% 1.79/1.90 (P2(x7591,f2(f2(x7592,a1),a1),f5(x7591,x7592))),
% 1.79/1.90 inference(scs_inference,[],[20,752,33,38,35,696,744,511,508,710,666,613,524,627,155,22,26,25,24,23,3,13])).
% 1.79/1.90 cnf(760,plain,
% 1.79/1.90 (E(x7601,f2(f2(x7601,a1),a1))),
% 1.79/1.90 inference(rename_variables,[],[524])).
% 1.79/1.90 cnf(761,plain,
% 1.79/1.90 (E(f2(f2(x7611,a1),a1),x7611)),
% 1.79/1.90 inference(scs_inference,[],[20,752,33,38,35,696,744,511,508,710,666,613,524,760,627,155,22,26,25,24,23,3,13,2])).
% 1.79/1.90 cnf(762,plain,
% 1.79/1.90 (~E(f5(a1,x7621),f2(f5(a3,a1),f4(a1)))),
% 1.79/1.90 inference(scs_inference,[],[20,752,53,33,38,35,696,744,511,508,710,666,613,563,524,760,627,155,22,26,25,24,23,3,13,2,10])).
% 1.79/1.90 cnf(766,plain,
% 1.79/1.90 (P2(f2(x7661,a1),f5(x7662,x7663),f5(f5(x7661,x7662),x7663))),
% 1.79/1.90 inference(scs_inference,[],[20,752,53,33,38,35,758,596,696,744,511,508,710,666,613,563,524,760,627,605,155,22,26,25,24,23,3,13,2,10,11,12])).
% 1.79/1.90 cnf(768,plain,
% 1.79/1.90 (~P2(f2(a3,a1),a1,f2(f2(a1,a1),f2(a1,a1)))),
% 1.79/1.90 inference(scs_inference,[],[20,752,53,33,38,35,758,596,696,744,511,508,710,666,613,563,524,760,627,706,252,605,155,22,26,25,24,23,3,13,2,10,11,12,14])).
% 1.79/1.90 cnf(769,plain,
% 1.79/1.90 (~E(f2(f2(a1,a1),f2(a1,a1)),f5(a3,a1))),
% 1.79/1.90 inference(scs_inference,[],[20,752,53,33,38,35,758,596,696,744,748,511,508,710,666,613,563,524,760,627,706,252,605,155,22,26,25,24,23,3,13,2,10,11,12,14,9])).
% 1.79/1.90 cnf(778,plain,
% 1.79/1.90 (~P2(f2(a3,a1),x7781,f4(x7782))),
% 1.79/1.90 inference(scs_inference,[],[38,529,625,29])).
% 1.79/1.90 cnf(782,plain,
% 1.79/1.90 (P1(x7821,f2(a1,a1),x7821)),
% 1.79/1.90 inference(rename_variables,[],[38])).
% 1.79/1.90 cnf(783,plain,
% 1.79/1.90 (P1(f4(x7831),f2(x7831,a1),a1)),
% 1.79/1.90 inference(rename_variables,[],[584])).
% 1.79/1.90 cnf(785,plain,
% 1.79/1.90 (P1(f2(f4(x7851),a1),f2(x7851,a1),a1)),
% 1.79/1.90 inference(scs_inference,[],[38,529,625,584,635,618,29,26,22])).
% 1.79/1.90 cnf(790,plain,
% 1.79/1.90 (P1(a1,f4(a1),f4(f2(a1,a1)))),
% 1.79/1.90 inference(scs_inference,[],[33,38,782,529,625,759,584,783,635,618,696,29,26,22,24,25])).
% 1.79/1.90 cnf(795,plain,
% 1.79/1.90 (~P1(f5(a3,a1),f5(a3,a1),f2(f2(a1,a1),f2(a1,a1)))),
% 1.79/1.90 inference(scs_inference,[],[33,59,38,782,769,529,625,759,584,783,635,618,696,29,26,22,24,25,23])).
% 1.79/1.90 cnf(798,plain,
% 1.79/1.90 (~E(f5(a3,a1),f2(f2(a1,a1),f2(a1,a1)))),
% 1.79/1.90 inference(scs_inference,[],[33,59,38,782,769,529,625,759,584,783,635,618,696,29,26,22,24,25,23,2])).
% 1.79/1.90 cnf(800,plain,
% 1.79/1.90 (E(x8001,f2(x8001,a1))),
% 1.79/1.90 inference(rename_variables,[],[35])).
% 1.79/1.90 cnf(802,plain,
% 1.79/1.90 (E(x8021,f2(x8021,a1))),
% 1.79/1.90 inference(rename_variables,[],[35])).
% 1.79/1.90 cnf(803,plain,
% 1.79/1.90 (~E(f2(a1,a1),f5(f2(a3,a1),a1))),
% 1.79/1.90 inference(scs_inference,[],[33,59,38,782,35,800,769,356,529,657,251,625,759,584,783,635,618,696,710,29,26,22,24,25,23,2,10,11,3])).
% 1.79/1.90 cnf(807,plain,
% 1.79/1.90 (P2(f4(f2(a1,a1)),f2(x8071,a1),f5(a1,x8071))),
% 1.79/1.90 inference(scs_inference,[],[33,59,38,782,35,800,802,769,356,529,657,251,625,720,759,761,464,584,783,635,618,696,710,29,26,22,24,25,23,2,10,11,3,12,13])).
% 1.79/1.90 cnf(809,plain,
% 1.79/1.90 (~P2(f2(a3,a1),f2(a1,a1),f2(a1,f4(a1)))),
% 1.79/1.90 inference(scs_inference,[],[33,59,38,782,35,800,802,769,751,356,529,657,251,625,720,759,761,537,464,584,783,635,618,696,710,29,26,22,24,25,23,2,10,11,3,12,13,14])).
% 1.79/1.90 cnf(811,plain,
% 1.79/1.90 (~P1(a1,f2(f2(a1,a1),f2(a1,a1)),f5(a3,a1))),
% 1.79/1.90 inference(scs_inference,[],[33,59,38,782,35,800,802,747,769,751,356,529,657,251,625,720,759,761,537,464,584,783,635,618,696,710,29,26,22,24,25,23,2,10,11,3,12,13,14,9])).
% 1.79/1.90 cnf(821,plain,
% 1.79/1.90 (~P1(x8211,f2(f5(a3,a1),f4(a1)),x8211)),
% 1.79/1.90 inference(rename_variables,[],[563])).
% 1.79/1.90 cnf(824,plain,
% 1.79/1.90 (P1(f2(f4(a1),a1),f5(x8241,x8242),f5(x8241,x8242))),
% 1.79/1.90 inference(scs_inference,[],[59,41,563,299,594,30,26])).
% 1.79/1.90 cnf(827,plain,
% 1.79/1.90 (~P1(f5(a3,a1),f4(f4(x8271)),x8271)),
% 1.79/1.90 inference(scs_inference,[],[59,41,743,563,299,594,30,26,22])).
% 1.79/1.90 cnf(830,plain,
% 1.79/1.90 (P1(x8301,f2(a1,a1),x8301)),
% 1.79/1.90 inference(rename_variables,[],[38])).
% 1.79/1.90 cnf(831,plain,
% 1.79/1.90 (~P1(x8311,f2(f5(a3,a1),f4(a1)),x8311)),
% 1.79/1.90 inference(rename_variables,[],[563])).
% 1.79/1.90 cnf(834,plain,
% 1.79/1.90 (E(x8341,f2(x8341,a1))),
% 1.79/1.90 inference(rename_variables,[],[35])).
% 1.79/1.90 cnf(836,plain,
% 1.79/1.90 (E(x8361,f2(x8361,a1))),
% 1.79/1.90 inference(rename_variables,[],[35])).
% 1.79/1.90 cnf(837,plain,
% 1.79/1.90 (~E(f2(f5(a3,a1),a1),f2(a1,a1))),
% 1.79/1.90 inference(scs_inference,[],[59,41,38,35,834,836,743,197,563,821,299,594,30,26,22,25,10,11,3])).
% 1.79/1.90 cnf(838,plain,
% 1.79/1.90 (E(x8381,f2(x8381,a1))),
% 1.79/1.90 inference(rename_variables,[],[35])).
% 1.79/1.90 cnf(839,plain,
% 1.79/1.90 (~P2(f2(a3,a1),a1,f2(a1,f4(a1)))),
% 1.79/1.90 inference(scs_inference,[],[59,41,38,35,834,836,838,743,809,197,563,821,299,594,30,26,22,25,10,11,3,13])).
% 1.79/1.90 cnf(840,plain,
% 1.79/1.90 (E(x8401,f2(x8401,a1))),
% 1.79/1.90 inference(rename_variables,[],[35])).
% 1.79/1.90 cnf(841,plain,
% 1.79/1.90 (E(f2(a1,x8411),f2(f4(a1),x8411))),
% 1.79/1.90 inference(scs_inference,[],[59,41,38,35,834,836,838,743,809,726,197,563,821,299,594,30,26,22,25,10,11,3,13,2])).
% 1.79/1.90 cnf(842,plain,
% 1.79/1.90 (~E(f5(f5(a3,x8421),x8422),f4(x8423))),
% 1.79/1.90 inference(scs_inference,[],[59,41,38,35,834,836,838,743,778,809,766,726,197,563,821,299,594,30,26,22,25,10,11,3,13,2,14])).
% 1.79/1.90 cnf(845,plain,
% 1.79/1.90 (P1(f2(f5(x8451,a1),a1),f5(x8451,a1),f5(x8451,a1))),
% 1.79/1.90 inference(scs_inference,[],[59,41,38,35,834,836,838,840,743,778,809,766,726,197,563,821,299,594,30,26,22,25,10,11,3,13,2,14,9])).
% 1.79/1.90 cnf(846,plain,
% 1.79/1.90 (E(x8461,f2(x8461,a1))),
% 1.79/1.90 inference(rename_variables,[],[35])).
% 1.79/1.90 cnf(848,plain,
% 1.79/1.90 (P2(a1,x8481,f2(f5(a1,x8481),f5(a1,x8481)))),
% 1.79/1.90 inference(rename_variables,[],[47])).
% 1.79/1.90 cnf(855,plain,
% 1.79/1.90 (~P1(f2(f5(a3,a1),f5(a3,a1)),f5(a3,a1),a1)),
% 1.79/1.90 inference(scs_inference,[],[33,59,47,848,41,38,830,35,834,836,838,840,743,778,809,515,766,726,197,563,821,831,299,594,30,26,22,25,10,11,3,13,2,14,9,32,29,23])).
% 1.79/1.90 cnf(858,plain,
% 1.79/1.90 (P2(f2(a1,a1),f2(x8581,a1),f2(f5(a1,x8581),f5(a1,x8581)))),
% 1.79/1.90 inference(scs_inference,[],[33,59,47,848,41,38,830,35,834,836,838,840,846,743,778,809,515,766,726,621,197,563,821,831,299,594,30,26,22,25,10,11,3,13,2,14,9,32,29,23,12])).
% 1.79/1.90 cnf(860,plain,
% 1.79/1.90 (~P2(f5(a1,x8601),f2(x8602,a1),f2(f5(a3,a1),f4(a1)))),
% 1.79/1.90 inference(scs_inference,[],[33,59,47,848,41,38,830,35,834,836,838,840,846,743,778,809,515,388,766,762,726,621,197,563,821,831,299,594,30,26,22,25,10,11,3,13,2,14,9,32,29,23,12,24])).
% 1.79/1.90 cnf(865,plain,
% 1.79/1.90 (P2(a1,f2(f4(a1),f4(a1)),f5(a1,a1))),
% 1.79/1.90 inference(scs_inference,[],[53,668,66,32])).
% 1.79/1.90 cnf(867,plain,
% 1.79/1.90 (P1(f5(a1,x8671),f5(a1,x8671),f5(a1,x8671))),
% 1.79/1.90 inference(rename_variables,[],[53])).
% 1.79/1.90 cnf(870,plain,
% 1.79/1.90 (P1(f5(a1,x8701),a1,a1)),
% 1.79/1.90 inference(scs_inference,[],[53,867,668,423,66,32,26])).
% 1.79/1.90 cnf(873,plain,
% 1.79/1.90 (P1(f5(x8731,x8732),f2(f4(a1),a1),f5(x8731,x8732))),
% 1.79/1.90 inference(scs_inference,[],[53,867,824,668,423,66,32,26,22])).
% 1.79/1.90 cnf(879,plain,
% 1.79/1.90 (P1(x8791,f2(a1,a1),x8791)),
% 1.79/1.90 inference(rename_variables,[],[38])).
% 1.79/1.90 cnf(881,plain,
% 1.79/1.90 (~P1(f2(f2(a1,a1),f2(a1,a1)),f2(a1,a1),f5(a3,a1))),
% 1.79/1.90 inference(scs_inference,[],[53,867,38,879,798,824,654,722,785,477,668,423,66,32,26,22,24,25,23])).
% 1.79/1.90 cnf(882,plain,
% 1.79/1.90 (P1(x8821,f2(a1,a1),x8821)),
% 1.79/1.90 inference(rename_variables,[],[38])).
% 1.79/1.90 cnf(885,plain,
% 1.79/1.90 (E(x8851,f2(x8851,a1))),
% 1.79/1.90 inference(rename_variables,[],[35])).
% 1.79/1.90 cnf(886,plain,
% 1.79/1.90 (~E(f2(a1,a1),f2(f5(a3,a1),a1))),
% 1.79/1.90 inference(scs_inference,[],[35,53,867,38,879,798,824,837,654,722,768,785,477,668,423,66,32,26,22,24,25,23,12,2])).
% 1.79/1.90 cnf(887,plain,
% 1.79/1.90 (P1(a1,f2(x8871,a1),f2(f2(x8871,a1),f2(a1,a1)))),
% 1.79/1.90 inference(scs_inference,[],[35,885,53,867,38,879,798,824,837,654,722,768,785,477,668,609,423,66,32,26,22,24,25,23,12,2,10])).
% 1.79/1.90 cnf(889,plain,
% 1.79/1.90 (P1(a1,f4(f2(a1,a1)),f2(a1,a1))),
% 1.79/1.90 inference(scs_inference,[],[35,885,53,867,38,879,798,824,837,654,722,768,785,256,477,668,609,423,66,32,26,22,24,25,23,12,2,10,11])).
% 1.79/1.90 cnf(890,plain,
% 1.79/1.90 (E(x8901,f2(x8901,a1))),
% 1.79/1.90 inference(rename_variables,[],[35])).
% 1.79/1.90 cnf(891,plain,
% 1.79/1.90 (E(a1,f2(f4(a1),a1))),
% 1.79/1.90 inference(scs_inference,[],[35,885,890,53,867,38,879,798,824,837,654,841,722,768,785,256,477,668,609,423,66,32,26,22,24,25,23,12,2,10,11,3])).
% 1.79/1.90 cnf(892,plain,
% 1.79/1.90 (E(x8921,f2(x8921,a1))),
% 1.79/1.90 inference(rename_variables,[],[35])).
% 1.79/1.90 cnf(898,plain,
% 1.79/1.90 (P2(a1,f2(a1,a1),f5(f4(a1),a1))),
% 1.79/1.90 inference(scs_inference,[],[35,885,890,892,53,867,38,879,882,798,824,837,692,654,841,722,768,785,256,557,477,321,668,609,423,66,32,26,22,24,25,23,12,2,10,11,3,14,9,13])).
% 1.79/1.90 cnf(900,plain,
% 1.79/1.90 (P2(a1,f2(a1,a1),f5(f4(a1),f2(a1,a1)))),
% 1.79/1.90 inference(scs_inference,[],[38,898,350,32])).
% 1.79/1.90 cnf(904,plain,
% 1.79/1.90 (~P1(f4(a1),f2(f2(a1,a1),f2(a1,a1)),f5(a3,a1))),
% 1.79/1.90 inference(scs_inference,[],[38,898,698,790,350,640,32,26])).
% 1.79/1.90 cnf(907,plain,
% 1.79/1.90 (~P1(f4(x9071),f5(a3,f2(a1,a1)),f4(x9071))),
% 1.79/1.90 inference(scs_inference,[],[38,567,898,698,790,350,640,32,26,22])).
% 1.79/1.90 cnf(909,plain,
% 1.79/1.90 (~P1(f5(a1,x9091),f2(f4(a1),a1),f5(a3,a1))),
% 1.79/1.90 inference(scs_inference,[],[38,827,567,898,698,790,870,350,436,640,32,26,22,25])).
% 1.79/1.90 cnf(913,plain,
% 1.79/1.90 (E(a1,f5(a1,x9131))),
% 1.79/1.90 inference(scs_inference,[],[38,827,567,898,698,790,870,350,436,640,15,32,26,22,25,23])).
% 1.79/1.90 cnf(917,plain,
% 1.79/1.90 (~P1(f2(f2(a1,a1),f2(a1,a1)),a1,f5(a3,a1))),
% 1.79/1.90 inference(scs_inference,[],[35,38,827,881,567,898,727,698,790,870,350,436,640,15,32,26,22,25,23,2,10])).
% 1.79/1.90 cnf(918,plain,
% 1.79/1.90 (E(x9181,f2(x9181,a1))),
% 1.79/1.90 inference(rename_variables,[],[35])).
% 1.79/1.90 cnf(919,plain,
% 1.79/1.90 (~P1(f5(a3,a1),f2(a1,a1),f2(f2(a1,a1),f2(a1,a1)))),
% 1.79/1.90 inference(scs_inference,[],[35,38,827,881,567,467,898,727,698,790,870,350,436,706,640,15,32,26,22,25,23,2,10,11])).
% 1.79/1.90 cnf(920,plain,
% 1.79/1.90 (~P2(a3,a1,f2(a1,f4(a1)))),
% 1.79/1.90 inference(scs_inference,[],[35,918,38,827,881,567,467,898,727,698,839,790,870,350,436,706,640,15,32,26,22,25,23,2,10,11,12])).
% 1.79/1.90 cnf(922,plain,
% 1.79/1.90 (~E(f2(a1,a1),f2(f5(a3,a1),f2(a1,a1)))),
% 1.79/1.90 inference(scs_inference,[],[35,918,38,827,881,886,567,467,898,727,698,839,790,870,476,350,436,706,640,15,32,26,22,25,23,2,10,11,12,3])).
% 1.79/1.90 cnf(926,plain,
% 1.79/1.90 (P2(a1,f2(a1,a1),f5(f4(a1),f4(a1)))),
% 1.79/1.90 inference(scs_inference,[],[35,918,38,827,881,886,567,467,898,702,727,860,698,839,891,790,870,476,350,436,706,640,15,32,26,22,25,23,2,10,11,12,3,13,14])).
% 1.79/1.90 cnf(930,plain,
% 1.79/1.90 (E(f5(x9301,a1),f5(x9301,f5(a1,x9302)))),
% 1.79/1.90 inference(scs_inference,[],[35,918,38,827,881,886,567,467,898,702,727,860,698,839,891,790,870,476,539,350,436,706,640,15,32,26,22,25,23,2,10,11,12,3,13,14,9,6])).
% 1.79/1.90 cnf(931,plain,
% 1.79/1.90 (E(f2(x9311,a1),f2(x9311,f5(a1,x9312)))),
% 1.79/1.90 inference(scs_inference,[],[35,918,38,827,881,886,567,467,898,702,727,860,698,839,891,790,870,476,539,350,436,706,640,15,32,26,22,25,23,2,10,11,12,3,13,14,9,6,8])).
% 1.79/1.90 cnf(933,plain,
% 1.79/1.90 (E(f2(a1,x9331),f2(f5(a1,x9332),x9331))),
% 1.79/1.90 inference(scs_inference,[],[35,918,38,827,881,886,567,467,898,702,727,860,698,839,891,790,870,476,539,350,436,706,640,15,32,26,22,25,23,2,10,11,12,3,13,14,9,6,8,4,7])).
% 1.79/1.90 cnf(934,plain,
% 1.79/1.90 (E(f5(a1,x9341),f5(f5(a1,x9342),x9341))),
% 1.79/1.90 inference(scs_inference,[],[35,918,38,827,881,886,567,467,898,702,727,860,698,839,891,790,870,476,539,350,436,706,640,15,32,26,22,25,23,2,10,11,12,3,13,14,9,6,8,4,7,5])).
% 1.79/1.90 cnf(936,plain,
% 1.79/1.90 (P1(x9361,f2(a1,a1),x9361)),
% 1.79/1.90 inference(rename_variables,[],[38])).
% 1.79/1.90 cnf(937,plain,
% 1.79/1.90 (P1(x9371,x9372,f2(x9372,x9371))),
% 1.79/1.90 inference(rename_variables,[],[66])).
% 1.79/1.90 cnf(939,plain,
% 1.79/1.90 (P1(f4(f2(a1,a1)),a1,f2(a1,a1))),
% 1.79/1.90 inference(scs_inference,[],[38,66,904,889,26,22])).
% 1.79/1.90 cnf(941,plain,
% 1.79/1.90 (P1(f2(a1,x9411),f4(f2(a1,a1)),x9411)),
% 1.79/1.90 inference(scs_inference,[],[38,936,66,937,904,889,26,22,25])).
% 1.79/1.90 cnf(942,plain,
% 1.79/1.90 (P1(x9421,f2(a1,a1),x9421)),
% 1.79/1.90 inference(rename_variables,[],[38])).
% 1.79/1.90 cnf(943,plain,
% 1.79/1.90 (P1(x9431,x9432,f2(x9432,x9431))),
% 1.79/1.90 inference(rename_variables,[],[66])).
% 1.79/1.90 cnf(948,plain,
% 1.79/1.90 (P1(f4(f2(x9481,a1)),f2(a1,a1),f4(x9481))),
% 1.79/1.90 inference(scs_inference,[],[38,936,942,66,937,943,922,540,904,889,26,22,25,23,11])).
% 1.79/1.90 cnf(949,plain,
% 1.79/1.90 (P1(x9491,f2(a1,a1),x9491)),
% 1.79/1.90 inference(rename_variables,[],[38])).
% 1.79/1.90 cnf(950,plain,
% 1.79/1.90 (P2(f5(a1,x9501),x9502,f2(f5(a1,x9502),f5(a1,x9502)))),
% 1.79/1.90 inference(scs_inference,[],[38,936,942,66,937,943,47,922,540,904,889,913,26,22,25,23,11,12])).
% 1.79/1.90 cnf(951,plain,
% 1.79/1.90 (~E(f5(a1,x9511),f5(a3,a1))),
% 1.79/1.90 inference(scs_inference,[],[38,936,942,65,66,937,943,47,922,540,904,889,913,26,22,25,23,11,12,3])).
% 1.79/1.90 cnf(952,plain,
% 1.79/1.90 (~P2(f2(a3,a1),f4(f2(a1,a1)),f2(a1,a1))),
% 1.79/1.90 inference(scs_inference,[],[38,936,942,65,66,937,943,47,922,540,904,889,913,751,474,26,22,25,23,11,12,3,13])).
% 1.79/1.90 cnf(953,plain,
% 1.79/1.90 (~E(f2(f5(a3,a1),f2(a1,a1)),f2(a1,a1))),
% 1.79/1.90 inference(scs_inference,[],[38,936,942,65,66,937,943,47,922,540,904,889,913,751,474,26,22,25,23,11,12,3,13,2])).
% 1.79/1.90 cnf(954,plain,
% 1.79/1.90 (P1(x9541,f2(a1,f5(a1,x9542)),x9541)),
% 1.79/1.90 inference(scs_inference,[],[38,936,942,949,65,66,937,943,47,922,540,931,904,889,913,751,474,26,22,25,23,11,12,3,13,2,10])).
% 1.79/1.90 cnf(956,plain,
% 1.79/1.90 (P2(a1,f2(a1,a1),f5(a1,f4(a1)))),
% 1.79/1.90 inference(scs_inference,[],[38,936,942,949,65,66,937,943,47,922,540,931,904,728,926,889,913,751,474,26,22,25,23,11,12,3,13,2,10,14])).
% 1.79/1.90 cnf(958,plain,
% 1.79/1.90 (P1(f4(x9581),f2(a1,a1),f4(f2(x9581,a1)))),
% 1.79/1.90 inference(scs_inference,[],[38,936,942,949,65,66,937,943,47,922,540,931,904,728,926,889,913,751,474,26,22,25,23,11,12,3,13,2,10,14,9])).
% 1.79/1.90 cnf(963,plain,
% 1.79/1.90 (P1(f4(f2(a1,a1)),x9631,x9631)),
% 1.79/1.90 inference(scs_inference,[],[38,66,186,26])).
% 1.79/1.90 cnf(965,plain,
% 1.79/1.90 (P1(x9651,f2(a1,a1),x9651)),
% 1.79/1.90 inference(rename_variables,[],[38])).
% 1.79/1.90 cnf(970,plain,
% 1.79/1.90 (~P1(f2(a1,a1),f5(a3,f2(a1,a1)),f2(a1,a1))),
% 1.79/1.90 inference(scs_inference,[],[38,965,66,919,907,186,26,22,25])).
% 1.79/1.90 cnf(972,plain,
% 1.79/1.90 (P1(x9721,f2(a1,a1),x9721)),
% 1.79/1.90 inference(rename_variables,[],[38])).
% 1.79/1.90 cnf(977,plain,
% 1.79/1.90 (P2(x9771,f2(f5(a1,x9772),f2(a1,a1)),f5(x9771,a1))),
% 1.79/1.90 inference(scs_inference,[],[38,965,972,66,919,953,907,933,186,477,26,22,25,23,13])).
% 1.79/1.90 cnf(979,plain,
% 1.79/1.90 (E(f2(a1,x9791),f2(f5(a1,x9792),x9791))),
% 1.79/1.90 inference(rename_variables,[],[933])).
% 1.79/1.90 cnf(980,plain,
% 1.79/1.90 (E(f5(x9801,f5(a1,x9802)),f5(x9801,a1))),
% 1.79/1.90 inference(scs_inference,[],[38,965,972,66,919,953,907,930,933,186,477,26,22,25,23,13,2])).
% 1.79/1.90 cnf(981,plain,
% 1.79/1.90 (P1(f5(a1,x9811),f2(f2(a1,a1),f2(a1,a1)),a1)),
% 1.79/1.90 inference(scs_inference,[],[38,965,972,66,919,953,907,930,933,373,186,477,870,26,22,25,23,13,2,10])).
% 1.79/1.90 cnf(989,plain,
% 1.79/1.90 (E(f2(a1,a1),f2(f5(a1,x9891),f5(a1,x9892)))),
% 1.79/1.90 inference(scs_inference,[],[38,965,972,66,919,953,907,948,930,933,979,920,235,373,538,931,627,494,186,477,870,26,22,25,23,13,2,10,11,14,12,3])).
% 1.79/1.90 cnf(992,plain,
% 1.79/1.90 (~E(f5(a3,a1),f5(a1,x9921))),
% 1.79/1.90 inference(scs_inference,[],[38,965,972,66,919,953,873,907,948,909,930,933,979,920,235,373,538,931,627,494,186,477,870,26,22,25,23,13,2,10,11,14,12,3,9])).
% 1.79/1.90 cnf(997,plain,
% 1.79/1.90 (~P2(f5(f5(a3,x9971),f2(x9972,a1)),a1,f4(x9973))),
% 1.79/1.90 inference(scs_inference,[],[38,965,972,66,47,41,919,953,873,907,948,909,930,933,979,920,472,778,235,373,538,759,931,627,494,186,477,870,26,22,25,23,13,2,10,11,14,12,3,9,27,28])).
% 1.79/1.91 cnf(1003,plain,
% 1.79/1.91 (~P2(f5(a3,x10031),f2(f5(x10032,a1),f5(x10032,a1)),f4(x10033))),
% 1.79/1.91 inference(scs_inference,[],[41,997,191,27])).
% 1.79/1.91 cnf(1005,plain,
% 1.79/1.91 (~P2(f5(f5(a3,x10051),f2(x10052,a1)),a1,f4(x10053))),
% 1.79/1.91 inference(rename_variables,[],[997])).
% 1.79/1.91 cnf(1007,plain,
% 1.79/1.91 (~P2(f5(f2(a3,a1),a1),a1,f4(x10071))),
% 1.79/1.91 inference(scs_inference,[],[41,977,997,191,778,27,28])).
% 1.79/1.91 cnf(1008,plain,
% 1.79/1.91 (P2(x10081,a1,f2(f5(x10081,a1),f5(x10081,a1)))),
% 1.79/1.91 inference(rename_variables,[],[41])).
% 1.79/1.91 cnf(1012,plain,
% 1.79/1.91 (~P1(f2(a1,a1),f2(a1,a1),f5(a3,a1))),
% 1.79/1.91 inference(scs_inference,[],[41,66,977,811,997,887,191,778,27,28,26])).
% 1.79/1.91 cnf(1013,plain,
% 1.79/1.91 (P1(a1,f2(x10131,a1),f2(f2(x10131,a1),f2(a1,a1)))),
% 1.79/1.91 inference(rename_variables,[],[887])).
% 1.79/1.91 cnf(1014,plain,
% 1.79/1.91 (P1(x10141,x10142,f2(x10142,x10141))),
% 1.79/1.91 inference(rename_variables,[],[66])).
% 1.79/1.91 cnf(1016,plain,
% 1.79/1.91 (P1(x10161,f4(f2(a1,a1)),x10161)),
% 1.79/1.91 inference(scs_inference,[],[41,66,963,977,811,997,887,191,778,27,28,26,22])).
% 1.79/1.91 cnf(1020,plain,
% 1.79/1.91 (P1(x10201,x10202,f2(x10202,x10201))),
% 1.79/1.91 inference(rename_variables,[],[66])).
% 1.79/1.91 cnf(1022,plain,
% 1.79/1.91 (E(f2(x10221,f4(x10221)),f2(a1,a1))),
% 1.79/1.91 inference(scs_inference,[],[41,66,1014,1020,963,977,811,917,997,887,1013,191,590,778,27,28,26,22,25,23])).
% 1.79/1.91 cnf(1026,plain,
% 1.79/1.91 (~P1(f5(a3,a1),f5(a3,a1),f2(a1,a1))),
% 1.79/1.91 inference(scs_inference,[],[41,66,1014,1020,795,963,977,811,917,997,887,1013,191,590,778,312,27,28,26,22,25,23,11])).
% 1.79/1.91 cnf(1029,plain,
% 1.79/1.91 (E(f5(x10291,f5(a1,x10292)),f5(x10291,a1))),
% 1.79/1.91 inference(rename_variables,[],[980])).
% 1.79/1.91 cnf(1038,plain,
% 1.79/1.91 (~E(f5(f2(a3,a1),a1),f2(a1,a1))),
% 1.79/1.91 inference(scs_inference,[],[41,65,66,1014,1020,795,803,952,963,977,980,1029,376,811,917,997,1005,887,1013,251,325,191,590,778,312,27,28,26,22,25,23,11,14,12,3,13,2])).
% 1.79/1.91 cnf(1049,plain,
% 1.79/1.91 (~P2(a1,f2(a1,a1),f5(a3,a1))),
% 1.79/1.91 inference(scs_inference,[],[41,1008,65,66,1014,1020,795,645,741,803,952,963,977,980,1029,376,811,917,956,997,1005,887,1013,951,464,251,325,720,841,191,590,778,312,322,27,28,26,22,25,23,11,14,12,3,13,2,10,9,31,24])).
% 1.79/1.91 cnf(1059,plain,
% 1.79/1.91 (P1(x10591,x10592,f2(x10592,x10591))),
% 1.79/1.91 inference(rename_variables,[],[66])).
% 1.79/1.91 cnf(1061,plain,
% 1.79/1.91 (~P2(f2(f2(a3,a1),f2(a1,a1)),f2(a1,a1),a1)),
% 1.79/1.91 inference(scs_inference,[],[41,74,66,855,425,668,29,24])).
% 1.79/1.91 cnf(1064,plain,
% 1.79/1.91 (~P1(f2(a1,a1),f5(a3,a1),f2(f2(a1,a1),a1))),
% 1.79/1.91 inference(scs_inference,[],[41,74,66,855,958,462,425,963,668,29,24,26])).
% 1.79/1.91 cnf(1069,plain,
% 1.79/1.91 (~P1(f5(a3,f2(a1,a1)),f2(a1,a1),f2(a1,a1))),
% 1.79/1.91 inference(scs_inference,[],[41,74,66,970,855,958,462,425,963,668,29,24,26,22])).
% 1.79/1.91 cnf(1072,plain,
% 1.79/1.91 (P1(x10721,x10722,f2(x10722,x10721))),
% 1.79/1.91 inference(rename_variables,[],[66])).
% 1.79/1.91 cnf(1077,plain,
% 1.79/1.91 (P2(f2(a1,a1),f2(x10771,a1),f5(a1,x10771))),
% 1.79/1.91 inference(scs_inference,[],[41,74,65,66,1059,970,671,855,958,462,858,981,425,227,246,963,668,29,24,26,22,25,23,14])).
% 1.79/1.91 cnf(1079,plain,
% 1.79/1.91 (P2(f2(f5(a1,x10791),f5(a1,x10792)),x10793,f5(a1,x10793))),
% 1.79/1.91 inference(scs_inference,[],[41,74,65,66,1059,970,671,855,958,989,462,858,981,425,227,246,963,111,668,29,24,26,22,25,23,14,12])).
% 1.79/1.91 cnf(1083,plain,
% 1.79/1.91 (E(f2(a1,a1),f2(x10831,f4(x10831)))),
% 1.79/1.91 inference(scs_inference,[],[41,74,65,66,1059,1022,970,671,855,958,989,462,858,981,425,324,227,246,963,111,668,29,24,26,22,25,23,14,12,3,2])).
% 1.79/1.91 cnf(1088,plain,
% 1.79/1.91 (~P2(f5(a3,x10881),f2(a1,a1),f4(x10882))),
% 1.79/1.91 inference(scs_inference,[],[41,74,65,53,66,1059,1072,1022,970,671,855,958,989,462,858,1003,934,981,425,324,227,246,963,111,668,29,24,26,22,25,23,14,12,3,2,11,10,13])).
% 1.79/1.91 cnf(1117,plain,
% 1.79/1.91 (P1(x11171,x11172,f2(x11172,x11171))),
% 1.79/1.91 inference(rename_variables,[],[66])).
% 1.79/1.91 cnf(1119,plain,
% 1.79/1.91 (P2(f2(a1,a1),f2(f2(x11191,a1),f2(x11191,a1)),f5(a1,x11191))),
% 1.79/1.91 inference(scs_inference,[],[53,66,1117,1026,1077,1007,663,586,425,27,29,32])).
% 1.79/1.91 cnf(1120,plain,
% 1.79/1.91 (P2(f2(a1,a1),f2(x11201,a1),f5(a1,x11201))),
% 1.79/1.91 inference(rename_variables,[],[1077])).
% 1.79/1.91 cnf(1121,plain,
% 1.79/1.91 (P1(x11211,x11212,f2(x11212,x11211))),
% 1.79/1.91 inference(rename_variables,[],[66])).
% 1.79/1.91 cnf(1123,plain,
% 1.79/1.91 (P2(a1,f2(f5(a1,a1),f5(a1,a1)),f5(a1,a1))),
% 1.79/1.91 inference(scs_inference,[],[47,53,66,1117,1026,1079,1077,1007,663,586,425,27,29,32,28])).
% 1.79/1.91 cnf(1129,plain,
% 1.79/1.91 (P1(x11291,x11292,f2(x11292,x11291))),
% 1.79/1.91 inference(rename_variables,[],[66])).
% 1.79/1.91 cnf(1132,plain,
% 1.79/1.91 (P1(f4(f2(a1,a1)),f2(a1,x11321),x11321)),
% 1.79/1.91 inference(scs_inference,[],[47,53,66,1117,1121,1026,941,1079,1077,1007,663,586,425,263,27,29,32,28,26,22])).
% 1.79/1.91 cnf(1134,plain,
% 1.79/1.91 (P1(x11341,a1,f2(f2(a1,a1),x11341))),
% 1.79/1.91 inference(scs_inference,[],[47,53,66,1117,1121,1129,1026,1016,941,1079,1077,1007,939,663,586,425,263,27,29,32,28,26,22,25])).
% 1.79/1.91 cnf(1135,plain,
% 1.79/1.91 (P1(x11351,x11352,f2(x11352,x11351))),
% 1.79/1.91 inference(rename_variables,[],[66])).
% 1.79/1.91 cnf(1140,plain,
% 1.79/1.91 (~P2(f2(f5(a3,a1),f5(a3,a1)),f2(a1,a1),f4(x11401))),
% 1.79/1.91 inference(scs_inference,[],[47,53,66,1117,1121,1129,1135,1026,1038,1016,1088,941,1079,1077,1007,939,663,586,415,425,263,27,29,32,28,26,22,25,23,12])).
% 1.79/1.91 cnf(1143,plain,
% 1.79/1.91 (E(f4(a1),f2(x11431,f4(x11431)))),
% 1.79/1.91 inference(scs_inference,[],[47,53,66,1117,1121,1129,1135,1026,1038,1083,1016,1088,941,1079,1077,1007,939,663,586,415,425,627,263,27,29,32,28,26,22,25,23,12,3])).
% 1.79/1.91 cnf(1147,plain,
% 1.79/1.91 (P1(f5(a1,x11471),f4(f2(a1,a1)),a1)),
% 1.79/1.91 inference(scs_inference,[],[47,98,53,66,1117,1121,1129,1135,1026,1038,1083,1016,842,1088,941,1079,1077,1007,939,663,586,415,576,425,627,263,761,870,27,29,32,28,26,22,25,23,12,3,2,14,10])).
% 1.79/1.91 cnf(1148,plain,
% 1.79/1.91 (P2(f2(a1,a1),f2(x11481,f4(x11481)),f5(a1,a1))),
% 1.79/1.91 inference(scs_inference,[],[47,98,53,66,1117,1121,1129,1135,1026,1038,1083,1016,842,1088,941,1079,1077,1120,1007,939,663,586,415,576,425,627,263,761,870,27,29,32,28,26,22,25,23,12,3,2,14,10,13])).
% 1.79/1.91 cnf(1164,plain,
% 1.79/1.91 (P1(f2(f4(a1),a1),f2(a1,a1),f2(a1,a1))),
% 1.79/1.91 inference(scs_inference,[],[47,213,1003,889,594,28,26])).
% 1.79/1.91 cnf(1167,plain,
% 1.79/1.91 (~P1(f5(a3,a1),f2(a1,a1),f2(f2(a1,a1),a1))),
% 1.79/1.91 inference(scs_inference,[],[47,1064,213,1003,889,594,28,26,22])).
% 1.79/1.91 cnf(1171,plain,
% 1.79/1.91 (P1(x11711,x11712,f2(x11712,x11711))),
% 1.79/1.91 inference(rename_variables,[],[66])).
% 1.79/1.91 cnf(1174,plain,
% 1.79/1.91 (E(f2(f4(x11741),x11741),f2(a1,a1))),
% 1.79/1.91 inference(scs_inference,[],[47,66,1171,1064,1132,213,508,1003,432,889,594,28,26,22,25,23])).
% 1.79/1.91 cnf(1181,plain,
% 1.79/1.91 (~P2(f2(f5(a3,a1),f5(a3,a1)),f2(a1,a1),f2(a1,a1))),
% 1.79/1.91 inference(scs_inference,[],[47,98,66,1171,1064,1140,1132,213,508,727,318,1003,432,580,889,594,761,28,26,22,25,23,12,3,14])).
% 1.79/1.91 cnf(1184,plain,
% 1.79/1.91 (E(f2(f2(a1,a1),a1),f4(a1))),
% 1.79/1.91 inference(scs_inference,[],[47,98,66,1171,1012,1064,1140,1132,757,213,1022,508,727,318,1003,432,580,889,594,761,28,26,22,25,23,12,3,14,10,2])).
% 1.79/1.91 cnf(1203,plain,
% 1.79/1.91 (P2(f5(a1,x12031),x12032,f2(f5(a1,x12032),f5(a1,x12032)))),
% 1.79/1.91 inference(rename_variables,[],[950])).
% 1.79/1.91 cnf(1210,plain,
% 1.79/1.91 (~P2(a1,f4(a1),f5(a3,a1))),
% 1.79/1.91 inference(scs_inference,[],[53,98,950,807,613,453,663,696,1049,1016,563,29,31,32])).
% 1.79/1.91 cnf(1215,plain,
% 1.79/1.91 (E(f5(a1,a1),f5(f2(a1,a1),f2(a1,a1)))),
% 1.79/1.91 inference(scs_inference,[],[53,98,1119,950,807,613,453,663,696,1049,1016,563,477,29,31,32,24])).
% 1.79/1.91 cnf(1219,plain,
% 1.79/1.91 (~P2(f5(f2(a3,a1),f4(a1)),f2(a1,a1),f4(x12191))),
% 1.79/1.91 inference(scs_inference,[],[53,98,1119,950,900,807,613,453,663,310,696,1049,1016,563,778,477,29,31,32,24,28])).
% 1.79/1.91 cnf(1223,plain,
% 1.79/1.91 (~P1(f2(f4(a1),f4(a1)),f2(a1,a1),f5(a3,a1))),
% 1.79/1.91 inference(scs_inference,[],[53,98,66,1119,950,400,900,807,613,958,453,663,310,696,1049,1016,563,778,477,29,31,32,24,28,26])).
% 1.79/1.91 cnf(1225,plain,
% 1.79/1.91 (P1(x12251,x12252,f2(x12252,x12251))),
% 1.79/1.91 inference(rename_variables,[],[66])).
% 1.79/1.91 cnf(1227,plain,
% 1.79/1.91 (P1(f2(a1,a1),f2(f4(a1),a1),f2(a1,a1))),
% 1.79/1.91 inference(scs_inference,[],[53,98,66,1164,1119,950,400,900,807,613,958,453,663,310,696,1049,1016,563,778,477,29,31,32,24,28,26,22])).
% 1.79/1.91 cnf(1231,plain,
% 1.79/1.91 (P1(f5(x12311,a1),f5(x12311,a1),f5(x12311,a1))),
% 1.79/1.91 inference(rename_variables,[],[59])).
% 1.79/1.91 cnf(1236,plain,
% 1.79/1.91 (~E(f5(f4(a1),f2(a1,a1)),f5(a3,a1))),
% 1.79/1.91 inference(scs_inference,[],[53,101,98,59,1231,66,1164,629,1119,950,845,400,900,807,613,958,453,663,310,696,1049,1016,563,778,477,29,31,32,24,28,26,22,25,23,14])).
% 1.79/1.91 cnf(1237,plain,
% 1.79/1.91 (P2(f4(a1),x12371,f5(a1,x12371))),
% 1.79/1.91 inference(scs_inference,[],[53,101,98,59,1231,66,1164,629,1119,950,845,400,1184,900,807,613,958,453,254,663,310,696,1049,1016,563,778,477,29,31,32,24,28,26,22,25,23,14,12])).
% 1.79/1.91 cnf(1239,plain,
% 1.79/1.91 (E(f5(x12391,a1),f5(x12391,f5(a1,x12392)))),
% 1.79/1.91 inference(rename_variables,[],[930])).
% 1.79/1.91 cnf(1240,plain,
% 1.79/1.91 (P1(f5(a1,x12401),f5(a1,x12401),f5(a1,x12401))),
% 1.79/1.91 inference(rename_variables,[],[53])).
% 1.79/1.91 cnf(1245,plain,
% 1.79/1.91 (P1(a1,f2(a1,a1),f4(a1))),
% 1.79/1.91 inference(scs_inference,[],[53,101,98,59,1231,66,1225,1164,1174,629,427,1119,950,992,845,400,1184,900,807,613,958,573,930,453,254,663,310,696,1049,1016,563,778,477,29,31,32,24,28,26,22,25,23,14,12,10,3,2,13,11])).
% 1.79/1.91 cnf(1250,plain,
% 1.79/1.91 (P2(f5(f5(a1,a1),f4(a1)),a1,f5(a1,a1))),
% 1.79/1.91 inference(scs_inference,[],[53,1240,101,98,59,1231,66,1225,1164,1174,629,427,1123,1119,950,1203,992,845,400,1184,900,732,807,613,958,573,930,1239,453,254,663,310,696,1049,1016,563,778,477,29,31,32,24,28,26,22,25,23,14,12,10,3,2,13,11,9,27])).
% 1.79/1.91 cnf(1254,plain,
% 1.79/1.91 (P2(f4(a1),x12541,f5(a1,x12541))),
% 1.79/1.91 inference(rename_variables,[],[1237])).
% 1.79/1.91 cnf(1267,plain,
% 1.79/1.91 (P1(x12671,x12672,f2(x12672,x12671))),
% 1.79/1.91 inference(rename_variables,[],[66])).
% 1.79/1.91 cnf(1274,plain,
% 1.79/1.91 (P1(f5(a1,x12741),f2(f2(a1,a1),a1),a1)),
% 1.79/1.91 inference(scs_inference,[],[98,59,66,1069,1236,1223,1219,1237,754,1147,596,842,524,613,246,533,706,870,27,24,26,22,25,23,14,10])).
% 1.79/1.91 cnf(1275,plain,
% 1.79/1.91 (E(x12751,f2(f2(x12751,a1),a1))),
% 1.79/1.91 inference(rename_variables,[],[524])).
% 1.79/1.91 cnf(1276,plain,
% 1.79/1.91 (E(f2(f4(a1),f4(a1)),f2(a1,a1))),
% 1.79/1.91 inference(scs_inference,[],[98,59,66,1069,1236,1223,1219,1237,754,1147,596,1174,842,524,537,613,246,533,706,870,27,24,26,22,25,23,14,10,3])).
% 1.79/1.91 cnf(1278,plain,
% 1.79/1.91 (E(f2(f4(x12781),x12781),f2(a1,a1))),
% 1.79/1.91 inference(rename_variables,[],[1174])).
% 1.79/1.91 cnf(1279,plain,
% 1.79/1.91 (P2(f2(x12791,f4(x12791)),x12792,f5(a1,x12792))),
% 1.79/1.91 inference(scs_inference,[],[98,59,66,1069,1236,1223,1219,1143,1237,1254,754,1147,596,1174,842,524,537,613,246,533,706,870,27,24,26,22,25,23,14,10,3,12])).
% 1.79/1.91 cnf(1280,plain,
% 1.79/1.91 (P2(f2(a1,a1),f2(a1,a1),f5(a1,f4(a1)))),
% 1.79/1.91 inference(scs_inference,[],[98,59,66,1069,1236,1223,1219,1143,1237,1254,754,1147,596,1174,1278,842,524,1077,537,613,246,533,706,870,27,24,26,22,25,23,14,10,3,12,13])).
% 1.79/1.91 cnf(1285,plain,
% 1.79/1.91 (E(x12851,f2(f2(x12851,a1),a1))),
% 1.79/1.91 inference(rename_variables,[],[524])).
% 1.79/1.91 cnf(1291,plain,
% 1.79/1.91 (P2(f5(f5(a1,a1),f4(a1)),f2(a1,a1),f5(a1,a1))),
% 1.79/1.91 inference(scs_inference,[],[53,98,59,66,1267,1069,1148,1215,1236,1223,1219,1250,1143,1237,1254,754,1147,1245,712,596,1174,1278,842,524,1275,1285,1077,537,613,246,533,706,870,27,24,26,22,25,23,14,10,3,12,13,2,11,9,31,32])).
% 1.79/1.91 cnf(1299,plain,
% 1.79/1.91 (P2(x12991,f2(f5(a1,x12992),f2(a1,a1)),f5(x12991,a1))),
% 1.79/1.91 inference(rename_variables,[],[977])).
% 1.79/1.91 cnf(1300,plain,
% 1.79/1.91 (P1(x13001,x13002,f2(x13002,x13001))),
% 1.79/1.91 inference(rename_variables,[],[66])).
% 1.79/1.91 cnf(1304,plain,
% 1.79/1.91 (P1(x13041,x13042,f2(x13042,x13041))),
% 1.79/1.91 inference(rename_variables,[],[66])).
% 1.79/1.91 cnf(1313,plain,
% 1.79/1.91 (P1(x13131,x13132,f2(x13132,x13131))),
% 1.79/1.91 inference(rename_variables,[],[66])).
% 1.79/1.91 cnf(1318,plain,
% 1.79/1.91 (P1(x13181,x13182,f2(x13182,x13181))),
% 1.79/1.91 inference(rename_variables,[],[66])).
% 1.79/1.91 cnf(1328,plain,
% 1.79/1.91 (E(f5(x13281,f5(a1,x13282)),f5(x13281,a1))),
% 1.79/1.91 inference(rename_variables,[],[980])).
% 1.79/1.91 cnf(1341,plain,
% 1.79/1.91 (P2(f5(a1,a1),f5(f4(a1),f4(a1)),f5(a1,a1))),
% 1.79/1.91 inference(scs_inference,[],[101,65,98,66,1300,1304,1313,1318,1167,1227,1280,1276,1291,1210,142,954,1061,1134,1274,1164,1123,858,934,980,1328,323,926,865,977,1299,557,310,419,186,375,17,30,31,32,24,26,22,25,23,3,10,14,12,2,13,11,9,27,28])).
% 1.79/1.91 cnf(1354,plain,
% 1.79/1.91 (P1(f5(x13541,a1),f5(x13541,a1),f5(x13541,a1))),
% 1.79/1.91 inference(rename_variables,[],[59])).
% 1.79/1.91 cnf(1355,plain,
% 1.79/1.91 (P1(x13551,x13552,f2(x13552,x13551))),
% 1.79/1.91 inference(rename_variables,[],[66])).
% 1.79/1.91 cnf(1365,plain,
% 1.79/1.91 ($false),
% 1.79/1.91 inference(scs_inference,[],[59,1354,66,1355,1181,1341,1279,1148,260,860,1237,520,1077,155,590,310,16,27,29,31,32,28,26]),
% 1.79/1.91 ['proof']).
% 1.79/1.91 % SZS output end Proof
% 1.79/1.91 % Total time :1.230000s
%------------------------------------------------------------------------------