TSTP Solution File: CAT009-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : CAT009-1 : 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 : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 18:13:42 EDT 2023
% Result : Unsatisfiable 1.39s 1.47s
% Output : CNFRefutation 1.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n031.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 00:54:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.56 start to proof:theBenchmark
% 1.39/1.47 %-------------------------------------------
% 1.39/1.47 % File :CSE---1.6
% 1.39/1.47 % Problem :theBenchmark
% 1.39/1.47 % Transform :cnf
% 1.39/1.47 % Format :tptp:raw
% 1.39/1.47 % Command :java -jar mcs_scs.jar %d %s
% 1.39/1.47
% 1.39/1.47 % Result :Theorem 0.850000s
% 1.39/1.47 % Output :CNFRefutation 0.850000s
% 1.39/1.47 %-------------------------------------------
% 1.39/1.47 %--------------------------------------------------------------------------
% 1.39/1.47 % File : CAT009-1 : TPTP v8.1.2. Released v1.0.0.
% 1.39/1.47 % Domain : Category Theory
% 1.39/1.47 % Problem : If xy is defined, then domain(xy) = domain(y)
% 1.39/1.47 % Version : [Mit67] axioms.
% 1.39/1.47 % English :
% 1.39/1.47
% 1.39/1.47 % Refs : [Mit67] Mitchell (1967), Theory of Categories
% 1.39/1.47 % Source : [ANL]
% 1.39/1.47 % Names : p9.ver1.in [ANL]
% 1.39/1.47
% 1.39/1.47 % Status : Unsatisfiable
% 1.39/1.47 % Rating : 0.00 v6.0.0, 0.22 v5.5.0, 0.38 v5.4.0, 0.33 v5.3.0, 0.42 v5.2.0, 0.25 v5.1.0, 0.29 v5.0.0, 0.14 v4.1.0, 0.00 v4.0.0, 0.17 v3.5.0, 0.00 v3.1.0, 0.22 v2.7.0, 0.00 v2.6.0, 0.29 v2.5.0, 0.00 v2.2.1, 0.33 v2.2.0, 0.43 v2.1.0, 0.60 v2.0.0
% 1.39/1.47 % Syntax : Number of clauses : 20 ( 8 unt; 0 nHn; 14 RR)
% 1.39/1.47 % Number of literals : 47 ( 2 equ; 28 neg)
% 1.39/1.47 % Maximal clause size : 4 ( 2 avg)
% 1.39/1.47 % Maximal term depth : 3 ( 1 avg)
% 1.39/1.47 % Number of predicates : 4 ( 3 usr; 0 prp; 1-3 aty)
% 1.39/1.47 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 1.39/1.47 % Number of variables : 52 ( 5 sgn)
% 1.39/1.47 % SPC : CNF_UNS_RFO_SEQ_HRN
% 1.39/1.47
% 1.39/1.47 % Comments :
% 1.39/1.47 %--------------------------------------------------------------------------
% 1.39/1.47 %----Include Mitchell's axioms for category theory
% 1.39/1.47 include('Axioms/CAT001-0.ax').
% 1.39/1.47 %--------------------------------------------------------------------------
% 1.39/1.47 cnf(ba_defined,hypothesis,
% 1.39/1.47 defined(b,a) ).
% 1.39/1.47
% 1.39/1.47 cnf(prove_domain_of_ba_equals_domain_of_a,negated_conjecture,
% 1.39/1.47 domain(compose(b,a)) != domain(a) ).
% 1.39/1.47
% 1.39/1.47 %--------------------------------------------------------------------------
% 1.39/1.47 %-------------------------------------------
% 1.39/1.47 % Proof found
% 1.39/1.47 % SZS status Theorem for theBenchmark
% 1.39/1.47 % SZS output start Proof
% 1.39/1.48 %ClaNum:33(EqnAxiom:13)
% 1.39/1.48 %VarNum:108(SingletonVarNum:52)
% 1.39/1.48 %MaxLitNum:4
% 1.39/1.48 %MaxfuncDepth:2
% 1.39/1.48 %SharedTerms:7
% 1.39/1.48 %goalClause: 21
% 1.39/1.48 %singleGoalClaCount:1
% 1.39/1.48 [16]P2(a3,a4)
% 1.39/1.48 [21]~E(f1(f5(a3,a4)),f1(a4))
% 1.39/1.48 [14]P1(f1(x141))
% 1.39/1.48 [15]P1(f2(x151))
% 1.39/1.48 [17]P2(x171,f1(x171))
% 1.39/1.48 [18]P2(f2(x181),x181)
% 1.39/1.48 [19]P3(x191,f1(x191),x191)
% 1.39/1.48 [20]P3(f2(x201),x201,x201)
% 1.39/1.48 [26]~P2(x261,x262)+P3(x261,x262,f5(x261,x262))
% 1.39/1.48 [25]P2(x251,x252)+~P3(x251,x252,x253)
% 1.39/1.48 [23]~P1(x231)+~P2(x231,x232)+P3(x231,x232,x232)
% 1.39/1.48 [24]~P1(x242)+~P2(x241,x242)+P3(x241,x242,x241)
% 1.39/1.48 [27]P2(x271,x272)+~P3(x272,x274,x273)+~P2(x271,x273)
% 1.39/1.48 [28]P2(x281,x282)+~P3(x284,x281,x283)+~P2(x283,x282)
% 1.39/1.48 [29]~P3(x293,x294,x291)+E(x291,x292)+~P3(x293,x294,x292)
% 1.39/1.48 [22]~P2(x223,x222)+~P2(x221,x223)+P2(x221,x222)+~P1(x223)
% 1.39/1.48 [30]~P3(x305,x302,x304)+P2(x301,x302)+~P3(x303,x305,x301)+~P2(x303,x304)
% 1.39/1.48 [31]~P3(x311,x315,x313)+P2(x311,x312)+~P3(x315,x314,x312)+~P2(x313,x314)
% 1.39/1.48 [32]~P3(x326,x322,x325)+P3(x321,x322,x323)+~P3(x324,x325,x323)+~P3(x324,x326,x321)
% 1.39/1.48 [33]~P3(x331,x336,x334)+P3(x331,x332,x333)+~P3(x334,x335,x333)+~P3(x336,x335,x332)
% 1.39/1.48 %EqnAxiom
% 1.39/1.48 [1]E(x11,x11)
% 1.39/1.48 [2]E(x22,x21)+~E(x21,x22)
% 1.39/1.48 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.39/1.48 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 1.39/1.48 [5]~E(x51,x52)+E(f2(x51),f2(x52))
% 1.39/1.48 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 1.39/1.48 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 1.39/1.48 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 1.39/1.48 [9]P3(x92,x93,x94)+~E(x91,x92)+~P3(x91,x93,x94)
% 1.39/1.48 [10]P3(x103,x102,x104)+~E(x101,x102)+~P3(x103,x101,x104)
% 1.39/1.48 [11]P3(x113,x114,x112)+~E(x111,x112)+~P3(x113,x114,x111)
% 1.39/1.48 [12]P2(x122,x123)+~E(x121,x122)+~P2(x121,x123)
% 1.39/1.48 [13]P2(x133,x132)+~E(x131,x132)+~P2(x133,x131)
% 1.39/1.48
% 1.39/1.48 %-------------------------------------------
% 1.39/1.48 cnf(34,plain,
% 1.39/1.48 (~E(f5(a3,a4),a4)),
% 1.39/1.48 inference(scs_inference,[],[21,4])).
% 1.39/1.48 cnf(35,plain,
% 1.39/1.48 (P2(f1(a3),a4)),
% 1.39/1.48 inference(scs_inference,[],[21,16,19,4,28])).
% 1.39/1.48 cnf(36,plain,
% 1.39/1.48 (P3(x361,f1(x361),x361)),
% 1.39/1.48 inference(rename_variables,[],[19])).
% 1.39/1.48 cnf(38,plain,
% 1.39/1.48 (~E(f1(a4),f1(f5(a3,a4)))),
% 1.39/1.48 inference(scs_inference,[],[21,16,19,4,28,2])).
% 1.39/1.48 cnf(39,plain,
% 1.39/1.48 (P3(a3,a4,f5(a3,a4))),
% 1.39/1.48 inference(scs_inference,[],[21,16,19,4,28,2,26])).
% 1.39/1.48 cnf(41,plain,
% 1.39/1.48 (~E(f1(x411),x412)+P1(x412)),
% 1.39/1.48 inference(scs_inference,[],[21,16,19,14,4,28,2,26,8])).
% 1.39/1.48 cnf(42,plain,
% 1.39/1.48 (~P3(a3,a4,a4)),
% 1.39/1.48 inference(scs_inference,[],[21,16,19,14,4,28,2,26,8,29])).
% 1.39/1.48 cnf(44,plain,
% 1.39/1.48 (P3(f2(f2(x441)),f2(x441),f2(f2(x441)))),
% 1.39/1.48 inference(scs_inference,[],[21,16,19,18,14,15,4,28,2,26,8,29,24])).
% 1.39/1.48 cnf(45,plain,
% 1.39/1.48 (P2(f2(x451),x451)),
% 1.39/1.48 inference(rename_variables,[],[18])).
% 1.39/1.48 cnf(47,plain,
% 1.39/1.48 (P3(f1(x471),f1(f1(x471)),f1(f1(x471)))),
% 1.39/1.48 inference(scs_inference,[],[21,16,19,17,18,14,15,4,28,2,26,8,29,24,23])).
% 1.39/1.48 cnf(48,plain,
% 1.39/1.48 (P2(x481,f1(x481))),
% 1.39/1.48 inference(rename_variables,[],[17])).
% 1.39/1.48 cnf(50,plain,
% 1.39/1.48 (~P3(f5(a3,a4),f1(a4),a4)),
% 1.39/1.48 inference(scs_inference,[],[21,16,19,36,17,18,14,15,4,28,2,26,8,29,24,23,33])).
% 1.39/1.48 cnf(51,plain,
% 1.39/1.48 (P3(x511,f1(x511),x511)),
% 1.39/1.48 inference(rename_variables,[],[19])).
% 1.39/1.48 cnf(53,plain,
% 1.39/1.48 (~P3(f2(a4),a4,f5(a3,a4))),
% 1.39/1.48 inference(scs_inference,[],[21,16,19,36,51,20,17,18,14,15,4,28,2,26,8,29,24,23,33,32])).
% 1.39/1.48 cnf(55,plain,
% 1.39/1.48 (P3(f2(x551),x551,x551)),
% 1.39/1.48 inference(rename_variables,[],[20])).
% 1.39/1.48 cnf(57,plain,
% 1.39/1.48 (P2(f2(f1(x571)),f1(f1(x571)))),
% 1.39/1.48 inference(scs_inference,[],[21,16,19,36,51,20,17,48,18,45,14,15,4,28,2,26,8,29,24,23,33,32,22])).
% 1.39/1.48 cnf(59,plain,
% 1.39/1.48 (P2(a3,f2(a4))),
% 1.43/1.49 inference(scs_inference,[],[21,16,19,36,51,20,55,17,48,18,45,14,15,4,28,2,26,8,29,24,23,33,32,22,27])).
% 1.43/1.49 cnf(69,plain,
% 1.43/1.49 (~E(a4,f5(a3,a4))),
% 1.43/1.49 inference(scs_inference,[],[20,53,11])).
% 1.43/1.49 cnf(70,plain,
% 1.43/1.49 (P3(f2(x701),x701,x701)),
% 1.43/1.49 inference(rename_variables,[],[20])).
% 1.43/1.49 cnf(71,plain,
% 1.43/1.49 (~E(f2(a4),a3)),
% 1.43/1.49 inference(scs_inference,[],[20,70,53,42,11,9])).
% 1.43/1.49 cnf(72,plain,
% 1.43/1.49 (P3(f2(x721),x721,x721)),
% 1.43/1.49 inference(rename_variables,[],[20])).
% 1.43/1.49 cnf(73,plain,
% 1.43/1.49 (~P3(f1(a4),f1(f1(a4)),f1(f5(a3,a4)))),
% 1.43/1.49 inference(scs_inference,[],[21,19,20,70,53,42,11,9,29])).
% 1.43/1.49 cnf(74,plain,
% 1.43/1.49 (P3(x741,f1(x741),x741)),
% 1.43/1.49 inference(rename_variables,[],[19])).
% 1.43/1.49 cnf(76,plain,
% 1.43/1.49 (P2(f2(f2(x761)),f1(f2(x761)))),
% 1.43/1.49 inference(scs_inference,[],[21,19,17,18,15,20,70,53,42,11,9,29,22])).
% 1.43/1.49 cnf(77,plain,
% 1.43/1.49 (P2(x771,f1(x771))),
% 1.43/1.49 inference(rename_variables,[],[17])).
% 1.43/1.49 cnf(80,plain,
% 1.43/1.49 (~P3(f5(a3,a4),f2(f1(a4)),a4)),
% 1.43/1.49 inference(scs_inference,[],[21,19,74,17,18,15,20,70,72,53,50,42,11,9,29,22,33])).
% 1.43/1.49 cnf(81,plain,
% 1.43/1.49 (P3(x811,f1(x811),x811)),
% 1.43/1.49 inference(rename_variables,[],[19])).
% 1.43/1.49 cnf(82,plain,
% 1.43/1.49 (P3(f2(x821),x821,x821)),
% 1.43/1.49 inference(rename_variables,[],[20])).
% 1.43/1.49 cnf(84,plain,
% 1.43/1.49 (~P3(a4,f2(f1(a4)),f5(a3,a4))),
% 1.43/1.49 inference(scs_inference,[],[21,19,74,81,17,18,15,20,70,72,82,53,50,42,11,9,29,22,33,32])).
% 1.43/1.49 cnf(85,plain,
% 1.43/1.49 (P3(x851,f1(x851),x851)),
% 1.43/1.49 inference(rename_variables,[],[19])).
% 1.43/1.49 cnf(88,plain,
% 1.43/1.49 (P3(a3,f2(a4),a3)),
% 1.43/1.49 inference(scs_inference,[],[21,19,74,81,17,18,15,20,70,72,82,53,50,59,42,11,9,29,22,33,32,24])).
% 1.43/1.49 cnf(89,plain,
% 1.43/1.49 (P1(f2(x891))),
% 1.43/1.49 inference(rename_variables,[],[15])).
% 1.43/1.49 cnf(91,plain,
% 1.43/1.49 (P3(f2(x911),f1(f2(x911)),f1(f2(x911)))),
% 1.43/1.49 inference(scs_inference,[],[21,19,74,81,17,77,18,15,89,20,70,72,82,53,50,59,42,11,9,29,22,33,32,24,23])).
% 1.43/1.49 cnf(92,plain,
% 1.43/1.49 (P2(x921,f1(x921))),
% 1.43/1.49 inference(rename_variables,[],[17])).
% 1.43/1.49 cnf(94,plain,
% 1.43/1.49 (~P3(f2(a4),x941,f5(a3,a4))+~E(x941,a4)),
% 1.43/1.49 inference(scs_inference,[],[21,19,74,81,17,77,18,15,89,20,70,72,82,53,50,59,42,11,9,29,22,33,32,24,23,10])).
% 1.43/1.49 cnf(95,plain,
% 1.43/1.49 (P2(f1(x951),f1(x951))),
% 1.43/1.49 inference(scs_inference,[],[21,19,74,81,85,17,77,92,18,15,89,20,70,72,82,53,50,59,42,11,9,29,22,33,32,24,23,10,28])).
% 1.43/1.49 cnf(96,plain,
% 1.43/1.49 (P3(x961,f1(x961),x961)),
% 1.43/1.49 inference(rename_variables,[],[19])).
% 1.43/1.49 cnf(98,plain,
% 1.43/1.49 (P2(f5(a3,a4),f1(a4))),
% 1.43/1.49 inference(scs_inference,[],[21,19,74,81,85,96,17,77,92,18,15,89,20,70,72,82,16,53,50,39,59,42,11,9,29,22,33,32,24,23,10,28,30])).
% 1.43/1.49 cnf(99,plain,
% 1.43/1.49 (P3(x991,f1(x991),x991)),
% 1.43/1.49 inference(rename_variables,[],[19])).
% 1.43/1.49 cnf(101,plain,
% 1.43/1.49 (~P3(f1(x1011),f1(x1011),x1012)+P2(x1011,x1012)),
% 1.43/1.49 inference(scs_inference,[],[21,19,74,81,85,96,99,17,77,92,18,15,89,20,70,72,82,16,53,50,39,59,42,11,9,29,22,33,32,24,23,10,28,30,31])).
% 1.43/1.49 cnf(106,plain,
% 1.43/1.49 (P3(a3,f1(f2(a4)),a3)),
% 1.43/1.49 inference(scs_inference,[],[19,88,39,53,9,32])).
% 1.43/1.49 cnf(113,plain,
% 1.43/1.49 (P3(f2(a3),f5(a3,a4),f5(a3,a4))),
% 1.43/1.49 inference(scs_inference,[],[14,19,17,20,98,88,39,53,9,32,22,33])).
% 1.43/1.49 cnf(114,plain,
% 1.43/1.49 (P3(f2(x1141),x1141,x1141)),
% 1.43/1.49 inference(rename_variables,[],[20])).
% 1.43/1.49 cnf(116,plain,
% 1.43/1.49 (P2(a3,f1(f2(a4)))),
% 1.43/1.49 inference(scs_inference,[],[14,19,17,18,20,114,98,88,39,53,9,32,22,33,30])).
% 1.43/1.49 cnf(120,plain,
% 1.43/1.49 (~P1(a3)),
% 1.43/1.49 inference(scs_inference,[],[14,19,17,18,20,114,16,98,88,42,39,53,9,32,22,33,30,23])).
% 1.43/1.49 cnf(122,plain,
% 1.43/1.49 (~E(f1(x1221),a3)),
% 1.43/1.49 inference(scs_inference,[],[14,19,17,18,20,114,16,98,88,42,39,53,9,32,22,33,30,23,41])).
% 1.43/1.49 cnf(123,plain,
% 1.43/1.49 (~E(x1231,a4)+~E(f5(a3,a4),x1231)),
% 1.43/1.49 inference(scs_inference,[],[14,34,19,17,18,20,114,16,98,88,42,39,53,9,32,22,33,30,23,41,3])).
% 1.43/1.49 cnf(128,plain,
% 1.43/1.49 (P2(f2(a3),f5(a3,a4))),
% 1.43/1.49 inference(scs_inference,[],[113,25])).
% 1.43/1.49 cnf(130,plain,
% 1.43/1.49 (~P3(f2(f1(a4)),f1(a4),f1(f5(a3,a4)))),
% 1.43/1.49 inference(scs_inference,[],[19,20,113,73,25,32])).
% 1.43/1.49 cnf(131,plain,
% 1.43/1.49 (P3(f2(x1311),x1311,x1311)),
% 1.43/1.49 inference(rename_variables,[],[20])).
% 1.43/1.49 cnf(132,plain,
% 1.43/1.49 (P3(x1321,f1(x1321),x1321)),
% 1.43/1.49 inference(rename_variables,[],[19])).
% 1.43/1.49 cnf(135,plain,
% 1.43/1.49 (P3(x1351,f1(x1351),x1351)),
% 1.43/1.49 inference(rename_variables,[],[19])).
% 1.43/1.49 cnf(137,plain,
% 1.43/1.49 (~P3(a4,f1(a4),f5(a3,a4))),
% 1.43/1.49 inference(scs_inference,[],[34,19,132,135,20,131,113,73,53,25,32,29,33])).
% 1.43/1.49 cnf(138,plain,
% 1.43/1.49 (P3(x1381,f1(x1381),x1381)),
% 1.43/1.49 inference(rename_variables,[],[19])).
% 1.43/1.49 cnf(141,plain,
% 1.43/1.49 (P3(f1(x1411),f1(x1411),f1(x1411))),
% 1.43/1.49 inference(scs_inference,[],[14,34,19,132,135,20,131,113,95,73,53,25,32,29,33,23])).
% 1.43/1.49 cnf(144,plain,
% 1.43/1.49 (~P3(f5(a3,a4),f2(f1(a4)),x1441)+~E(x1441,a4)),
% 1.43/1.49 inference(scs_inference,[],[14,34,19,132,135,20,131,113,95,73,80,53,25,32,29,33,23,11])).
% 1.43/1.49 cnf(145,plain,
% 1.43/1.49 (P3(x1451,x1452,x1451)+~E(f1(x1451),x1452)),
% 1.43/1.49 inference(scs_inference,[],[14,34,19,132,135,138,20,131,113,95,73,80,53,25,32,29,33,23,11,10])).
% 1.43/1.49 cnf(151,plain,
% 1.43/1.49 (~P3(f2(a3),f5(a3,a4),a4)),
% 1.43/1.49 inference(scs_inference,[],[20,42,39,32])).
% 1.43/1.49 cnf(154,plain,
% 1.43/1.49 (~P3(a3,f1(a3),f2(a4))),
% 1.43/1.49 inference(scs_inference,[],[19,20,71,42,39,32,29])).
% 1.43/1.49 cnf(157,plain,
% 1.43/1.49 (P3(f1(a3),a4,a4)),
% 1.43/1.49 inference(scs_inference,[],[35,19,20,71,42,39,14,32,29,23])).
% 1.43/1.49 cnf(160,plain,
% 1.43/1.49 (P3(f1(a3),a4,f5(f1(a3),a4))),
% 1.43/1.49 inference(scs_inference,[],[35,19,20,71,42,39,14,32,29,23,26])).
% 1.43/1.49 cnf(162,plain,
% 1.43/1.49 (~E(a3,f1(x1621))),
% 1.43/1.49 inference(scs_inference,[],[35,19,20,71,122,42,39,14,32,29,23,26,2])).
% 1.43/1.49 cnf(163,plain,
% 1.43/1.49 (~E(f2(x1631),a3)),
% 1.43/1.49 inference(scs_inference,[],[15,35,19,20,71,122,120,42,39,14,32,29,23,26,2,8])).
% 1.43/1.49 cnf(167,plain,
% 1.43/1.49 (P2(f1(f2(x1671)),x1671)),
% 1.43/1.49 inference(scs_inference,[],[18,19,28])).
% 1.43/1.49 cnf(170,plain,
% 1.43/1.49 (P3(f2(f1(a3)),a4,a4)),
% 1.43/1.49 inference(scs_inference,[],[18,19,20,157,28,33])).
% 1.43/1.49 cnf(178,plain,
% 1.43/1.49 (P2(f2(f2(a3)),f5(a3,a4))),
% 1.43/1.49 inference(scs_inference,[],[20,128,113,31])).
% 1.43/1.49 cnf(179,plain,
% 1.43/1.49 (P3(f2(x1791),x1791,x1791)),
% 1.43/1.49 inference(rename_variables,[],[20])).
% 1.43/1.49 cnf(181,plain,
% 1.43/1.49 (~P3(f2(f1(a3)),a4,f5(a3,a4))),
% 1.43/1.49 inference(scs_inference,[],[19,20,137,170,128,113,31,32])).
% 1.43/1.49 cnf(182,plain,
% 1.43/1.49 (P3(x1821,f1(x1821),x1821)),
% 1.43/1.49 inference(rename_variables,[],[19])).
% 1.43/1.49 cnf(184,plain,
% 1.43/1.49 (P3(f2(f2(a3)),f5(a3,a4),f5(a3,a4))),
% 1.43/1.49 inference(scs_inference,[],[19,20,179,137,170,128,113,31,32,33])).
% 1.43/1.49 cnf(185,plain,
% 1.43/1.49 (P3(f2(x1851),x1851,x1851)),
% 1.43/1.49 inference(rename_variables,[],[20])).
% 1.43/1.49 cnf(188,plain,
% 1.43/1.49 (P2(a4,f1(f5(a3,a4)))),
% 1.43/1.49 inference(scs_inference,[],[17,19,20,179,91,137,170,128,113,39,31,32,33,9,28])).
% 1.43/1.49 cnf(189,plain,
% 1.43/1.49 (P2(x1891,f1(x1891))),
% 1.43/1.49 inference(rename_variables,[],[17])).
% 1.43/1.49 cnf(191,plain,
% 1.43/1.49 (E(f2(x1911),f1(f2(x1911)))),
% 1.43/1.49 inference(scs_inference,[],[17,19,182,20,179,91,137,170,128,113,39,31,32,33,9,28,29])).
% 1.43/1.49 cnf(192,plain,
% 1.43/1.49 (P3(x1921,f1(x1921),x1921)),
% 1.43/1.49 inference(rename_variables,[],[19])).
% 1.43/1.49 cnf(196,plain,
% 1.43/1.49 (P3(f2(f2(x1961)),f2(x1961),f1(f2(x1961)))),
% 1.43/1.49 inference(scs_inference,[],[17,19,182,20,179,185,91,137,162,170,128,113,39,31,32,33,9,28,29,3,11])).
% 1.43/1.49 cnf(197,plain,
% 1.43/1.49 (P3(f2(x1971),x1971,x1971)),
% 1.43/1.49 inference(rename_variables,[],[20])).
% 1.43/1.49 cnf(201,plain,
% 1.43/1.49 (P3(f2(f2(x2011)),f1(f2(x2011)),f2(x2011))),
% 1.43/1.49 inference(scs_inference,[],[16,17,189,19,182,20,179,185,197,91,137,162,170,128,113,39,31,32,33,9,28,29,3,11,22,10])).
% 1.43/1.49 cnf(203,plain,
% 1.43/1.49 (E(f1(f2(x2031)),f2(x2031))),
% 1.43/1.49 inference(scs_inference,[],[16,17,189,19,182,20,179,185,197,91,137,162,170,128,113,39,31,32,33,9,28,29,3,11,22,10,2])).
% 1.43/1.49 cnf(204,plain,
% 1.43/1.49 (P2(f5(f1(a3),a4),f1(a4))),
% 1.43/1.49 inference(scs_inference,[],[16,17,189,35,19,182,192,20,179,185,197,91,137,162,170,128,113,160,39,31,32,33,9,28,29,3,11,22,10,2,30])).
% 1.43/1.49 cnf(208,plain,
% 1.43/1.49 (P2(f2(x2081),f2(x2081))),
% 1.43/1.49 inference(scs_inference,[],[17,203,13])).
% 1.43/1.49 cnf(209,plain,
% 1.43/1.49 (P2(x2091,f1(x2091))),
% 1.43/1.49 inference(rename_variables,[],[17])).
% 1.43/1.49 cnf(210,plain,
% 1.43/1.49 (P2(f1(f2(a3)),f5(a3,a4))),
% 1.43/1.49 inference(scs_inference,[],[17,191,203,128,13,12])).
% 1.43/1.49 cnf(212,plain,
% 1.43/1.49 (~P3(f1(f2(a3)),f5(a3,a4),a4)),
% 1.43/1.49 inference(scs_inference,[],[17,191,203,151,128,13,12,9])).
% 1.43/1.49 cnf(213,plain,
% 1.43/1.49 (E(f1(f2(x2131)),f2(x2131))),
% 1.43/1.49 inference(rename_variables,[],[203])).
% 1.43/1.49 cnf(215,plain,
% 1.43/1.49 (E(f1(f2(x2151)),f2(x2151))),
% 1.43/1.49 inference(rename_variables,[],[203])).
% 1.43/1.49 cnf(218,plain,
% 1.43/1.49 (P2(x2181,f1(x2181))),
% 1.43/1.49 inference(rename_variables,[],[17])).
% 1.43/1.49 cnf(224,plain,
% 1.43/1.49 (E(f1(f2(x2241)),f2(x2241))),
% 1.43/1.49 inference(rename_variables,[],[203])).
% 1.43/1.49 cnf(228,plain,
% 1.43/1.49 (~P3(f1(f2(x2281)),f1(f2(x2281)),a3)),
% 1.43/1.49 inference(scs_inference,[],[17,209,19,20,196,191,203,213,215,204,181,151,154,122,128,39,14,13,12,9,11,22,32,10,29,33])).
% 1.43/1.49 cnf(231,plain,
% 1.43/1.49 (P3(f2(x2311),f2(x2311),f2(x2311))),
% 1.43/1.49 inference(scs_inference,[],[17,209,19,20,196,191,203,213,215,224,204,181,151,154,122,128,39,14,13,12,9,11,22,32,10,29,33,145])).
% 1.43/1.49 cnf(232,plain,
% 1.43/1.49 (P2(f2(f1(a3)),a4)),
% 1.43/1.49 inference(scs_inference,[],[17,209,19,20,196,191,203,213,215,224,204,181,151,154,122,128,170,39,14,13,12,9,11,22,32,10,29,33,145,25])).
% 1.43/1.49 cnf(236,plain,
% 1.43/1.49 (P2(f2(x2361),f2(f2(x2361)))),
% 1.43/1.49 inference(scs_inference,[],[16,17,209,218,19,20,196,191,203,213,215,224,204,181,151,154,106,122,128,170,39,14,13,12,9,11,22,32,10,29,33,145,25,31,27])).
% 1.43/1.49 cnf(242,plain,
% 1.43/1.49 (P3(f1(f2(x2421)),f1(f2(x2421)),f2(x2421))),
% 1.43/1.49 inference(scs_inference,[],[18,39,19,191,27,9])).
% 1.43/1.49 cnf(243,plain,
% 1.43/1.49 (P3(x2431,f1(x2431),x2431)),
% 1.43/1.49 inference(rename_variables,[],[19])).
% 1.43/1.49 cnf(244,plain,
% 1.43/1.49 (~P3(f2(f5(a3,a4)),a3,f2(f1(a3)))),
% 1.43/1.49 inference(scs_inference,[],[18,39,19,20,191,181,27,9,32])).
% 1.43/1.49 cnf(245,plain,
% 1.43/1.49 (P3(f2(x2451),x2451,x2451)),
% 1.43/1.49 inference(rename_variables,[],[20])).
% 1.43/1.49 cnf(247,plain,
% 1.43/1.49 (~P3(a3,f1(a3),f2(x2471))),
% 1.43/1.49 inference(scs_inference,[],[18,39,19,243,20,163,191,181,27,9,32,29])).
% 1.43/1.49 cnf(248,plain,
% 1.43/1.49 (P3(x2481,f1(x2481),x2481)),
% 1.43/1.49 inference(rename_variables,[],[19])).
% 1.43/1.49 cnf(250,plain,
% 1.43/1.49 (P3(f1(f2(x2501)),f2(x2501),f1(f2(x2501)))),
% 1.43/1.49 inference(scs_inference,[],[18,39,19,243,20,163,141,191,181,203,27,9,32,29,10])).
% 1.43/1.49 cnf(252,plain,
% 1.43/1.49 (~P3(f2(f1(a3)),f2(a4),a3)),
% 1.43/1.49 inference(scs_inference,[],[18,39,19,243,20,245,163,141,191,181,203,27,9,32,29,10,33])).
% 1.43/1.49 cnf(255,plain,
% 1.43/1.49 (P3(x2551,f1(x2551),f5(x2551,f1(x2551)))),
% 1.43/1.49 inference(scs_inference,[],[17,18,39,19,243,20,245,163,141,191,181,203,27,9,32,29,10,33,26])).
% 1.43/1.49 cnf(258,plain,
% 1.43/1.49 (P2(f5(x2581,f1(x2581)),f1(f1(x2581)))),
% 1.43/1.49 inference(scs_inference,[],[17,38,18,39,19,243,248,20,245,163,141,191,181,203,27,9,32,29,10,33,26,3,30])).
% 1.43/1.49 cnf(261,plain,
% 1.43/1.49 (~E(x2611,f1(a4))+~E(x2611,f1(f5(a3,a4)))),
% 1.43/1.49 inference(scs_inference,[],[17,38,18,39,19,243,248,20,245,163,141,191,181,203,27,9,32,29,10,33,26,3,30,2])).
% 1.43/1.49 cnf(262,plain,
% 1.43/1.49 (~P3(f1(f2(a3)),f5(a3,a4),x2621)+~E(x2622,f1(f5(a3,a4)))+~E(x2621,a4)),
% 1.43/1.49 inference(scs_inference,[],[17,38,18,39,19,243,248,20,245,212,163,141,191,181,203,27,9,32,29,10,33,26,3,30,2,11])).
% 1.43/1.49 cnf(263,plain,
% 1.43/1.49 (P3(f1(f2(x2631)),x2631,x2631)+~E(x2632,f1(f5(a3,a4)))),
% 1.43/1.49 inference(scs_inference,[],[17,38,18,39,19,243,248,20,245,167,212,163,141,191,181,203,14,27,9,32,29,10,33,26,3,30,2,11,23])).
% 1.43/1.49 cnf(267,plain,
% 1.43/1.49 (P3(f1(f2(x2671)),x2671,x2671)),
% 1.43/1.49 inference(equality_inference,[],[263])).
% 1.43/1.49 cnf(268,plain,
% 1.43/1.49 (P2(f1(f2(x2681)),f2(x2681))),
% 1.43/1.49 inference(scs_inference,[],[19,250,95,31])).
% 1.43/1.49 cnf(270,plain,
% 1.43/1.49 (P3(x2701,f1(x2701),x2701)),
% 1.43/1.49 inference(rename_variables,[],[19])).
% 1.43/1.49 cnf(272,plain,
% 1.43/1.49 (P3(f2(x2721),f2(x2721),f1(f2(x2721)))),
% 1.43/1.49 inference(scs_inference,[],[19,250,95,203,31,9])).
% 1.43/1.49 cnf(273,plain,
% 1.43/1.49 (P3(f1(f2(x2731)),f2(x2731),f1(f2(x2731)))),
% 1.43/1.49 inference(rename_variables,[],[250])).
% 1.43/1.49 cnf(274,plain,
% 1.43/1.49 (P3(f5(a3,a4),f1(a4),f5(a3,a4))),
% 1.43/1.49 inference(scs_inference,[],[19,270,39,250,95,203,31,9,32])).
% 1.43/1.49 cnf(275,plain,
% 1.43/1.49 (P3(x2751,f1(x2751),x2751)),
% 1.43/1.49 inference(rename_variables,[],[19])).
% 1.43/1.49 cnf(277,plain,
% 1.43/1.49 (E(x2771,f5(x2771,f1(x2771)))),
% 1.43/1.49 inference(scs_inference,[],[19,270,275,39,255,250,95,203,31,9,32,29])).
% 1.43/1.49 cnf(278,plain,
% 1.43/1.49 (P3(x2781,f1(x2781),f5(x2781,f1(x2781)))),
% 1.43/1.49 inference(rename_variables,[],[255])).
% 1.43/1.49 cnf(280,plain,
% 1.43/1.49 (P3(f1(f2(x2801)),f2(x2801),f2(x2801))),
% 1.43/1.49 inference(scs_inference,[],[19,270,275,39,255,250,273,95,203,31,9,32,29,11])).
% 1.43/1.49 cnf(282,plain,
% 1.43/1.49 (E(f5(x2821,f1(x2821)),x2821)),
% 1.43/1.49 inference(scs_inference,[],[19,270,275,39,255,250,273,95,203,31,9,32,29,11,2])).
% 1.43/1.49 cnf(283,plain,
% 1.43/1.49 (P3(f2(x2831),x2831,f5(x2831,f1(x2831)))),
% 1.43/1.49 inference(scs_inference,[],[19,270,275,20,39,255,278,250,273,95,203,31,9,32,29,11,2,33])).
% 1.43/1.49 cnf(288,plain,
% 1.43/1.49 (~P3(f2(a4),f5(a4,f1(a4)),f5(a3,a4))),
% 1.43/1.49 inference(scs_inference,[],[19,270,275,20,39,255,278,250,273,95,203,31,9,32,29,11,2,33,144,94])).
% 1.43/1.49 cnf(294,plain,
% 1.43/1.49 (~E(f5(a3,a4),f5(a4,f1(a4)))),
% 1.43/1.49 inference(scs_inference,[],[18,19,270,275,20,39,255,278,250,273,252,95,203,31,9,32,29,11,2,33,144,94,30,10,123])).
% 1.43/1.49 cnf(300,plain,
% 1.43/1.49 (~P3(f1(f2(a3)),f5(a3,a4),x3001)+~E(x3001,a4)),
% 1.43/1.49 inference(scs_inference,[],[282,262])).
% 1.43/1.49 cnf(301,plain,
% 1.43/1.49 (~P3(f1(f2(a3)),f5(a3,a4),f5(a4,f1(a4)))),
% 1.43/1.49 inference(scs_inference,[],[282,300])).
% 1.43/1.49 cnf(302,plain,
% 1.43/1.49 (E(f5(x3021,f1(x3021)),x3021)),
% 1.43/1.49 inference(rename_variables,[],[282])).
% 1.43/1.49 cnf(303,plain,
% 1.43/1.49 (P2(f1(f1(a3)),a4)),
% 1.43/1.49 inference(scs_inference,[],[35,19,282,300,28])).
% 1.43/1.49 cnf(304,plain,
% 1.43/1.49 (P3(x3041,f1(x3041),x3041)),
% 1.43/1.49 inference(rename_variables,[],[19])).
% 1.43/1.49 cnf(306,plain,
% 1.43/1.49 (P3(f2(f1(x3061)),f1(x3061),f2(f1(x3061)))),
% 1.43/1.49 inference(scs_inference,[],[18,35,19,282,14,300,28,24])).
% 1.43/1.49 cnf(309,plain,
% 1.43/1.49 (~P3(f5(a3,f1(a3)),a4,a4)),
% 1.43/1.49 inference(scs_inference,[],[18,42,35,19,282,302,14,300,28,24,9])).
% 1.43/1.49 cnf(310,plain,
% 1.43/1.49 (E(f5(x3101,f1(x3101)),x3101)),
% 1.43/1.49 inference(rename_variables,[],[282])).
% 1.43/1.49 cnf(311,plain,
% 1.43/1.49 (~P3(f2(x3111),f2(x3111),a3)),
% 1.43/1.49 inference(scs_inference,[],[18,42,35,19,304,272,282,302,228,14,300,28,24,9,32])).
% 1.43/1.49 cnf(315,plain,
% 1.43/1.49 (~P3(f2(f2(x3151)),f1(f2(x3151)),a3)),
% 1.43/1.49 inference(scs_inference,[],[18,42,35,19,304,201,272,282,302,228,163,14,300,28,24,9,32,29])).
% 1.43/1.49 cnf(318,plain,
% 1.43/1.49 (~E(f5(a4,f1(a4)),f5(a3,a4))),
% 1.43/1.49 inference(scs_inference,[],[18,42,35,19,304,201,272,282,302,294,228,163,14,300,28,24,9,32,29,2])).
% 1.43/1.49 cnf(319,plain,
% 1.43/1.49 (~P3(a3,a4,f5(a4,f1(a4)))),
% 1.43/1.49 inference(scs_inference,[],[18,42,35,19,304,201,272,282,302,310,294,228,163,14,300,28,24,9,32,29,2,11])).
% 1.43/1.49 cnf(321,plain,
% 1.43/1.49 (~P3(f2(x3211),f1(f2(x3211)),a3)),
% 1.43/1.49 inference(scs_inference,[],[18,42,35,19,304,20,201,272,282,302,310,294,228,91,163,14,300,28,24,9,32,29,2,11,33])).
% 1.43/1.49 cnf(323,plain,
% 1.43/1.49 (P3(f2(x3231),x3231,x3231)),
% 1.43/1.49 inference(rename_variables,[],[20])).
% 1.43/1.49 cnf(325,plain,
% 1.43/1.49 (~P1(f5(a3,f1(a3)))+~P2(f5(a3,f1(a3)),a4)),
% 1.43/1.49 inference(scs_inference,[],[18,42,35,19,304,20,201,272,282,302,310,294,228,91,163,14,300,28,24,9,32,29,2,11,33,23])).
% 1.43/1.49 cnf(327,plain,
% 1.43/1.49 (P3(f2(x3271),f5(x3271,f1(x3271)),x3271)),
% 1.43/1.49 inference(scs_inference,[],[18,42,35,19,304,20,323,201,272,277,282,302,310,294,228,91,163,14,300,28,24,9,32,29,2,11,33,23,10])).
% 1.43/1.49 cnf(331,plain,
% 1.43/1.49 (P3(x3311,f1(x3311),x3311)),
% 1.43/1.49 inference(rename_variables,[],[19])).
% 1.43/1.49 cnf(333,plain,
% 1.43/1.49 (P3(f5(x3331,f1(x3331)),f1(x3331),x3331)),
% 1.43/1.49 inference(scs_inference,[],[19,331,318,277,29,9])).
% 1.43/1.49 cnf(335,plain,
% 1.43/1.49 (~P3(a3,f2(f2(a4)),f2(a4))),
% 1.43/1.49 inference(scs_inference,[],[19,331,20,318,311,277,88,29,9,32])).
% 1.43/1.49 cnf(339,plain,
% 1.43/1.50 (~P3(f5(a3,f1(a3)),a4,f5(a4,f1(a4)))),
% 1.43/1.50 inference(scs_inference,[],[19,331,20,318,311,309,277,282,88,29,9,32,11])).
% 1.43/1.50 cnf(340,plain,
% 1.43/1.50 (E(f5(x3401,f1(x3401)),x3401)),
% 1.43/1.50 inference(rename_variables,[],[282])).
% 1.43/1.50 cnf(341,plain,
% 1.43/1.50 (~P3(f5(a4,f1(a4)),f1(a4),f5(a3,a4))),
% 1.43/1.50 inference(scs_inference,[],[19,331,20,283,318,288,311,309,255,277,282,88,29,9,32,11,33])).
% 1.43/1.50 cnf(345,plain,
% 1.43/1.50 (~P3(a3,f5(a4,f1(a4)),a4)),
% 1.43/1.50 inference(scs_inference,[],[42,19,331,20,283,318,288,311,309,255,277,282,340,88,29,9,32,11,33,10])).
% 1.43/1.50 cnf(347,plain,
% 1.43/1.50 (P2(f2(x3471),f5(x3471,f1(x3471)))),
% 1.43/1.50 inference(scs_inference,[],[42,19,331,20,283,327,318,288,311,309,255,277,282,340,88,29,9,32,11,33,10,25])).
% 1.43/1.50 cnf(352,plain,
% 1.43/1.50 (P3(x3521,f1(x3521),x3521)),
% 1.43/1.50 inference(rename_variables,[],[19])).
% 1.43/1.50 cnf(354,plain,
% 1.43/1.50 (P3(f2(x3541),f5(x3541,f1(x3541)),f5(x3541,f1(x3541)))),
% 1.43/1.50 inference(scs_inference,[],[19,347,160,15,16,31,23])).
% 1.43/1.50 cnf(357,plain,
% 1.43/1.50 (E(f2(f2(x3571)),f2(x3571))),
% 1.43/1.50 inference(scs_inference,[],[19,44,20,347,160,15,16,31,23,29])).
% 1.43/1.50 cnf(358,plain,
% 1.43/1.50 (P3(f2(x3581),x3581,x3581)),
% 1.43/1.50 inference(rename_variables,[],[20])).
% 1.43/1.50 cnf(360,plain,
% 1.43/1.50 (~E(f2(a4),f5(a3,f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[19,44,20,347,339,283,160,15,16,31,23,29,9])).
% 1.43/1.50 cnf(362,plain,
% 1.43/1.50 (P3(f2(x3621),f1(f2(x3621)),f2(f2(x3621)))),
% 1.43/1.50 inference(scs_inference,[],[19,44,20,347,339,242,283,201,160,15,16,31,23,29,9,32])).
% 1.43/1.50 cnf(366,plain,
% 1.43/1.50 (E(f2(x3661),f2(f2(x3661)))),
% 1.43/1.50 inference(scs_inference,[],[19,44,20,347,339,242,283,201,160,15,16,31,23,29,9,32,2])).
% 1.43/1.50 cnf(367,plain,
% 1.43/1.50 (P3(f5(x3671,f1(x3671)),f1(x3671),f5(x3671,f1(x3671)))),
% 1.43/1.50 inference(scs_inference,[],[19,44,20,333,347,339,242,283,201,277,160,15,16,31,23,29,9,32,2,11])).
% 1.43/1.50 cnf(372,plain,
% 1.43/1.50 (P3(f2(x3721),x3721,x3721)),
% 1.43/1.50 inference(rename_variables,[],[20])).
% 1.43/1.50 cnf(376,plain,
% 1.43/1.50 (P3(f2(x3761),f2(x3761),f5(f2(x3761),f2(x3761)))),
% 1.43/1.50 inference(scs_inference,[],[19,352,44,20,358,333,347,208,321,339,319,242,283,201,277,282,160,15,16,31,23,29,9,32,2,11,33,10,26])).
% 1.43/1.50 cnf(378,plain,
% 1.43/1.50 (P2(f1(a3),f2(a4))),
% 1.43/1.50 inference(scs_inference,[],[19,352,44,35,20,358,372,333,347,208,321,339,319,242,283,201,277,282,160,15,16,31,23,29,9,32,2,11,33,10,26,27])).
% 1.43/1.50 cnf(381,plain,
% 1.43/1.50 (P2(f1(a3),f5(a4,f1(a4)))),
% 1.43/1.50 inference(scs_inference,[],[19,352,44,35,20,358,372,333,347,208,321,339,319,242,283,201,277,282,160,15,16,31,23,29,9,32,2,11,33,10,26,27,13])).
% 1.43/1.50 cnf(382,plain,
% 1.43/1.50 (E(x3821,f5(x3821,f1(x3821)))),
% 1.43/1.50 inference(rename_variables,[],[277])).
% 1.43/1.50 cnf(383,plain,
% 1.43/1.50 (P2(f5(a4,f1(a4)),f1(f5(a3,a4)))),
% 1.43/1.50 inference(scs_inference,[],[19,352,44,35,20,358,372,333,347,208,188,321,339,319,242,283,201,277,382,282,160,15,16,31,23,29,9,32,2,11,33,10,26,27,13,12])).
% 1.43/1.50 cnf(390,plain,
% 1.43/1.50 (E(f2(f2(x3901)),f1(f2(x3901)))),
% 1.43/1.50 inference(scs_inference,[],[357,191,3])).
% 1.43/1.50 cnf(391,plain,
% 1.43/1.50 (E(f2(x3911),f1(f2(x3911)))),
% 1.43/1.50 inference(rename_variables,[],[191])).
% 1.43/1.50 cnf(393,plain,
% 1.43/1.50 (P1(f2(x3931))),
% 1.43/1.50 inference(rename_variables,[],[15])).
% 1.43/1.50 cnf(394,plain,
% 1.43/1.50 (P2(f2(x3941),f2(f2(x3941)))),
% 1.43/1.50 inference(rename_variables,[],[236])).
% 1.43/1.50 cnf(396,plain,
% 1.43/1.50 (P3(f2(x3961),f2(f2(x3961)),f2(f2(x3961)))),
% 1.43/1.50 inference(scs_inference,[],[236,394,268,357,191,15,393,3,22,23])).
% 1.43/1.50 cnf(399,plain,
% 1.43/1.50 (~P3(f1(f2(a4)),f2(a4),f5(a3,f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[280,236,394,268,357,360,191,15,393,3,22,23,29])).
% 1.43/1.50 cnf(402,plain,
% 1.43/1.50 (~P3(f2(a3),f5(a3,a4),f5(a4,f1(a4)))),
% 1.43/1.50 inference(scs_inference,[],[280,236,394,268,357,301,360,191,391,15,393,3,22,23,29,9])).
% 1.43/1.50 cnf(404,plain,
% 1.43/1.50 (~P3(f1(f2(a3)),f2(a3),a3)),
% 1.43/1.50 inference(scs_inference,[],[19,20,280,236,394,268,357,301,360,311,191,391,15,393,3,22,23,29,9,32])).
% 1.43/1.50 cnf(406,plain,
% 1.43/1.50 (P3(x4061,f1(x4061),x4061)),
% 1.43/1.50 inference(rename_variables,[],[19])).
% 1.43/1.50 cnf(409,plain,
% 1.43/1.50 (~E(f5(a3,f1(a3)),f2(a4))),
% 1.43/1.50 inference(scs_inference,[],[19,20,280,236,394,268,357,301,360,311,191,391,15,393,3,22,23,29,9,32,2])).
% 1.43/1.50 cnf(410,plain,
% 1.43/1.50 (P3(a3,f5(a4,f1(a4)),f5(a3,a4))),
% 1.43/1.50 inference(scs_inference,[],[19,39,20,280,236,394,268,357,301,360,311,191,391,277,15,393,3,22,23,29,9,32,2,10])).
% 1.43/1.50 cnf(413,plain,
% 1.43/1.50 (P3(x4131,f1(x4131),x4131)),
% 1.43/1.50 inference(rename_variables,[],[19])).
% 1.43/1.50 cnf(415,plain,
% 1.43/1.50 (P2(f5(x4151,f1(x4151)),f1(x4151))),
% 1.43/1.50 inference(scs_inference,[],[19,406,413,35,39,20,280,236,394,268,357,301,360,311,283,191,391,277,15,393,18,3,22,23,29,9,32,2,10,31,30])).
% 1.43/1.50 cnf(419,plain,
% 1.43/1.50 (P3(f2(f2(x4191)),f2(f2(x4191)),f2(x4191))),
% 1.43/1.50 inference(scs_inference,[],[19,406,413,44,35,39,20,280,362,236,394,268,357,301,360,311,283,201,191,391,277,15,393,18,3,22,23,29,9,32,2,10,31,30,33])).
% 1.43/1.50 cnf(424,plain,
% 1.43/1.50 (E(f2(x4241),f2(f2(x4241)))),
% 1.43/1.50 inference(rename_variables,[],[366])).
% 1.43/1.50 cnf(425,plain,
% 1.43/1.50 (~P3(f2(f2(a4)),f2(a4),f5(a3,f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[20,409,366,360,3,29])).
% 1.43/1.50 cnf(426,plain,
% 1.43/1.50 (P3(f2(x4261),x4261,x4261)),
% 1.43/1.50 inference(rename_variables,[],[20])).
% 1.43/1.50 cnf(428,plain,
% 1.43/1.50 (~P3(f2(a4),f1(f2(a4)),f5(a3,f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[20,409,399,366,272,360,3,29,32])).
% 1.43/1.50 cnf(431,plain,
% 1.43/1.50 (P3(f2(f2(x4311)),x4311,x4311)),
% 1.43/1.50 inference(scs_inference,[],[20,426,409,399,366,424,272,360,3,29,32,9])).
% 1.43/1.50 cnf(432,plain,
% 1.43/1.50 (E(f2(x4321),f2(f2(x4321)))),
% 1.43/1.50 inference(rename_variables,[],[366])).
% 1.43/1.50 cnf(433,plain,
% 1.43/1.50 (E(f1(f2(x4331)),f2(f2(x4331)))),
% 1.43/1.50 inference(scs_inference,[],[20,426,390,409,399,366,424,272,360,3,29,32,9,2])).
% 1.43/1.50 cnf(434,plain,
% 1.43/1.50 (~P3(a3,f1(a3),f1(f2(x4341)))),
% 1.43/1.50 inference(scs_inference,[],[20,426,390,409,399,247,366,424,272,360,3,29,32,9,2,11])).
% 1.43/1.50 cnf(436,plain,
% 1.43/1.50 (~P3(f2(f2(a3)),a3,f1(f2(a3)))),
% 1.43/1.50 inference(scs_inference,[],[20,426,419,390,409,399,315,247,366,424,272,360,3,29,32,9,2,11,33])).
% 1.43/1.50 cnf(438,plain,
% 1.43/1.50 (P3(f2(x4381),x4381,x4381)),
% 1.43/1.50 inference(rename_variables,[],[20])).
% 1.43/1.50 cnf(443,plain,
% 1.43/1.50 (P2(f5(x4431,f1(x4431)),f2(f1(x4431)))),
% 1.43/1.50 inference(scs_inference,[],[20,426,438,415,419,390,409,399,315,247,335,366,424,432,272,360,3,29,32,9,2,11,33,10,27])).
% 1.43/1.50 cnf(444,plain,
% 1.43/1.50 (P3(f2(x4441),x4441,x4441)),
% 1.43/1.50 inference(rename_variables,[],[20])).
% 1.43/1.50 cnf(446,plain,
% 1.43/1.50 (~P3(f1(a3),f2(a4),x4461)+P2(x4461,a4)),
% 1.43/1.50 inference(scs_inference,[],[20,426,438,444,35,415,419,390,409,399,315,247,335,366,424,432,272,360,3,29,32,9,2,11,33,10,27,30])).
% 1.43/1.50 cnf(449,plain,
% 1.43/1.50 (P3(f2(x4491),f2(f2(x4491)),f2(x4491))),
% 1.43/1.50 inference(scs_inference,[],[20,426,438,444,35,415,419,390,409,399,315,247,335,366,424,432,272,360,3,29,32,9,2,11,33,10,27,30,145])).
% 1.43/1.50 cnf(450,plain,
% 1.43/1.50 (P2(f5(a3,f1(a3)),a4)),
% 1.43/1.50 inference(scs_inference,[],[20,426,438,444,35,415,419,390,409,399,315,247,335,366,424,432,272,360,14,3,29,32,9,2,11,33,10,27,30,145,22])).
% 1.43/1.50 cnf(456,plain,
% 1.43/1.50 (~P1(f5(a3,f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[450,325])).
% 1.43/1.50 cnf(458,plain,
% 1.43/1.50 (~E(f1(x4581),f5(a3,f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[456,41])).
% 1.43/1.50 cnf(459,plain,
% 1.43/1.50 (~E(f2(x4591),f5(a3,f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[456,15,41,8])).
% 1.43/1.50 cnf(460,plain,
% 1.43/1.50 (P2(f1(a3),f2(f2(a4)))),
% 1.43/1.50 inference(scs_inference,[],[456,378,236,15,41,8,22])).
% 1.43/1.50 cnf(465,plain,
% 1.43/1.50 (E(f2(f2(x4651)),f2(x4651))),
% 1.43/1.50 inference(rename_variables,[],[357])).
% 1.43/1.50 cnf(466,plain,
% 1.43/1.50 (E(f1(f1(x4661)),f1(x4661))),
% 1.43/1.50 inference(scs_inference,[],[47,456,378,236,409,357,15,19,41,8,22,3,29])).
% 1.43/1.50 cnf(473,plain,
% 1.43/1.50 (P3(f2(x4731),f2(x4731),f2(f2(x4731)))),
% 1.43/1.50 inference(scs_inference,[],[20,47,44,396,456,425,378,236,409,357,465,15,19,41,8,22,3,29,32,9])).
% 1.43/1.50 cnf(477,plain,
% 1.43/1.50 (~E(f5(a3,f1(a3)),f1(x4771))),
% 1.43/1.50 inference(scs_inference,[],[20,47,44,396,456,425,434,378,236,409,357,465,255,15,19,41,8,22,3,29,32,9,11,2])).
% 1.43/1.50 cnf(478,plain,
% 1.43/1.50 (~P3(a3,f2(f2(a4)),f2(f2(a4)))),
% 1.43/1.50 inference(scs_inference,[],[20,47,44,42,396,431,456,425,434,378,236,409,357,465,255,15,19,41,8,22,3,29,32,9,11,2,33])).
% 1.43/1.50 cnf(479,plain,
% 1.43/1.50 (P3(f2(f2(x4791)),x4791,x4791)),
% 1.43/1.50 inference(rename_variables,[],[431])).
% 1.43/1.50 cnf(483,plain,
% 1.43/1.50 (P2(f2(f2(x4831)),x4831)),
% 1.43/1.50 inference(scs_inference,[],[20,47,44,42,396,431,479,456,428,425,434,378,236,409,357,465,390,255,15,19,41,8,22,3,29,32,9,11,2,33,10,25])).
% 1.43/1.50 cnf(485,plain,
% 1.43/1.50 (P2(a3,f2(f2(a4)))),
% 1.43/1.50 inference(scs_inference,[],[20,47,44,42,396,431,479,433,456,428,425,434,378,116,236,409,357,465,390,255,15,19,41,8,22,3,29,32,9,11,2,33,10,25,13])).
% 1.43/1.50 cnf(487,plain,
% 1.43/1.50 (P2(x4871,f2(f1(x4871)))),
% 1.43/1.50 inference(scs_inference,[],[20,47,44,42,396,431,479,443,433,456,428,425,434,378,116,236,409,357,465,390,255,282,15,19,41,8,22,3,29,32,9,11,2,33,10,25,13,12])).
% 1.43/1.50 cnf(489,plain,
% 1.43/1.50 (~E(f1(f1(a4)),f1(f5(a3,a4)))),
% 1.43/1.50 inference(scs_inference,[],[20,47,44,42,396,431,479,443,433,456,428,425,434,378,116,236,409,357,465,390,255,282,15,19,41,8,22,3,29,32,9,11,2,33,10,25,13,12,261])).
% 1.43/1.50 cnf(490,plain,
% 1.43/1.50 (~E(f1(a4),f5(a3,a4))),
% 1.43/1.50 inference(scs_inference,[],[20,47,44,42,396,431,479,443,433,456,428,425,434,378,116,236,409,357,465,390,255,282,15,19,41,8,22,3,29,32,9,11,2,33,10,25,13,12,261,4])).
% 1.43/1.50 cnf(491,plain,
% 1.43/1.50 (P2(f1(x4911),f2(f1(x4911)))),
% 1.43/1.50 inference(scs_inference,[],[20,47,44,42,396,431,479,443,433,456,428,425,434,367,378,116,236,409,357,465,390,255,282,15,19,41,8,22,3,29,32,9,11,2,33,10,25,13,12,261,4,28])).
% 1.43/1.50 cnf(497,plain,
% 1.43/1.50 (~P3(f1(x4971),f1(f1(x4971)),f5(a3,f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[47,458,29])).
% 1.43/1.50 cnf(500,plain,
% 1.43/1.50 (P3(f5(f2(x5001),f2(x5001)),x5001,f5(x5001,f1(x5001)))),
% 1.43/1.50 inference(scs_inference,[],[47,354,376,458,283,29,32])).
% 1.43/1.50 cnf(510,plain,
% 1.43/1.50 (P3(f1(f2(x5101)),f2(x5101),f2(f2(x5101)))),
% 1.43/1.50 inference(scs_inference,[],[47,354,376,458,345,436,267,280,366,283,201,282,29,32,9,33,11])).
% 1.43/1.50 cnf(512,plain,
% 1.43/1.50 (E(f1(x5121),f1(f1(x5121)))),
% 1.43/1.50 inference(scs_inference,[],[47,354,376,466,458,345,436,267,280,366,283,201,282,29,32,9,33,11,2])).
% 1.43/1.50 cnf(513,plain,
% 1.43/1.50 (P3(f1(x5131),f1(x5131),f1(f1(x5131)))),
% 1.43/1.50 inference(scs_inference,[],[47,354,376,466,458,345,436,267,280,366,283,201,282,29,32,9,33,11,2,10])).
% 1.43/1.50 cnf(515,plain,
% 1.43/1.50 (P2(x5151,f1(f1(x5151)))),
% 1.43/1.50 inference(scs_inference,[],[47,354,376,466,458,345,436,267,280,366,283,201,282,29,32,9,33,11,2,10,101])).
% 1.43/1.50 cnf(517,plain,
% 1.43/1.50 (P3(f1(a3),f2(a4),f5(f1(a3),f2(a4)))),
% 1.43/1.50 inference(scs_inference,[],[47,354,376,466,458,345,436,267,280,378,366,283,201,282,29,32,9,33,11,2,10,101,26])).
% 1.43/1.50 cnf(519,plain,
% 1.43/1.50 (~E(f5(a3,f1(a3)),f2(f2(x5191)))),
% 1.43/1.50 inference(scs_inference,[],[47,354,376,466,477,458,345,436,267,280,378,366,390,283,201,282,29,32,9,33,11,2,10,101,26,3])).
% 1.43/1.50 cnf(521,plain,
% 1.43/1.50 (P3(f1(x5211),f2(f1(x5211)),f2(f1(x5211)))),
% 1.43/1.50 inference(scs_inference,[],[47,354,376,466,491,477,458,345,436,267,280,378,366,390,283,201,282,14,29,32,9,33,11,2,10,101,26,3,23])).
% 1.43/1.50 cnf(524,plain,
% 1.43/1.50 (~E(f1(f1(a4)),f5(a3,a4))),
% 1.43/1.50 inference(scs_inference,[],[512,490,3])).
% 1.43/1.50 cnf(525,plain,
% 1.43/1.50 (E(f1(x5251),f1(f1(x5251)))),
% 1.43/1.50 inference(rename_variables,[],[512])).
% 1.43/1.50 cnf(526,plain,
% 1.43/1.50 (~P3(f2(f2(x5261)),f2(x5261),f5(a3,f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[44,512,519,490,3,29])).
% 1.43/1.50 cnf(529,plain,
% 1.43/1.50 (P3(f1(f1(x5291)),f1(x5291),f1(f1(x5291)))),
% 1.43/1.50 inference(scs_inference,[],[44,513,512,519,490,141,3,29,32])).
% 1.43/1.50 cnf(532,plain,
% 1.43/1.50 (P3(f2(f2(x5321)),f5(x5321,f1(x5321)),x5321)),
% 1.43/1.50 inference(scs_inference,[],[44,513,512,519,490,431,141,283,3,29,32,33])).
% 1.43/1.50 cnf(534,plain,
% 1.43/1.50 (P3(f2(f2(x5341)),f2(x5341),f2(f2(x5341)))),
% 1.43/1.50 inference(rename_variables,[],[44])).
% 1.43/1.50 cnf(537,plain,
% 1.43/1.50 (~P3(a3,f2(f2(a4)),f1(f2(a4)))),
% 1.43/1.50 inference(scs_inference,[],[44,513,512,519,459,490,478,431,433,141,283,3,29,32,33,2,11])).
% 1.43/1.50 cnf(539,plain,
% 1.43/1.50 (~P3(f1(x5391),f1(x5391),f5(a3,f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[44,513,512,525,519,497,459,490,478,431,433,141,283,3,29,32,33,2,11,10])).
% 1.43/1.50 cnf(540,plain,
% 1.43/1.50 (E(f1(x5401),f1(f1(x5401)))),
% 1.43/1.50 inference(rename_variables,[],[512])).
% 1.43/1.50 cnf(541,plain,
% 1.43/1.50 (P2(f5(f1(a3),f2(a4)),a4)),
% 1.43/1.50 inference(scs_inference,[],[44,513,512,525,519,497,459,490,517,478,431,433,141,283,3,29,32,33,2,11,10,446])).
% 1.43/1.50 cnf(544,plain,
% 1.43/1.50 (P3(f2(x5441),f5(x5441,f1(x5441)),x5441)),
% 1.43/1.50 inference(rename_variables,[],[327])).
% 1.43/1.50 cnf(546,plain,
% 1.43/1.50 (P2(f1(a3),f1(f2(a4)))),
% 1.43/1.50 inference(scs_inference,[],[44,35,513,512,525,519,497,459,485,490,517,478,327,431,433,267,141,283,3,29,32,33,2,11,10,446,28,27])).
% 1.43/1.50 cnf(549,plain,
% 1.43/1.50 (P2(f2(f1(a3)),f5(a4,f1(a4)))),
% 1.43/1.50 inference(scs_inference,[],[44,35,513,512,525,519,497,459,485,490,517,478,232,327,431,433,267,141,283,277,3,29,32,33,2,11,10,446,28,27,13])).
% 1.43/1.50 cnf(551,plain,
% 1.43/1.50 (P2(f1(f1(a3)),f2(f2(a4)))),
% 1.43/1.50 inference(scs_inference,[],[44,35,513,512,525,540,519,497,459,460,485,490,517,478,232,327,431,433,267,141,283,277,3,29,32,33,2,11,10,446,28,27,13,12])).
% 1.43/1.50 cnf(556,plain,
% 1.43/1.50 (P2(f2(f2(x5561)),f5(x5561,f1(x5561)))),
% 1.43/1.50 inference(scs_inference,[],[44,534,35,39,500,513,483,512,525,540,519,497,459,460,485,490,517,478,232,327,544,431,433,450,267,141,283,277,3,29,32,33,2,11,10,446,28,27,13,12,31,30])).
% 1.43/1.50 cnf(558,plain,
% 1.43/1.50 (P3(x5581,f2(f1(x5581)),x5581)),
% 1.43/1.50 inference(scs_inference,[],[487,15,24])).
% 1.43/1.50 cnf(561,plain,
% 1.43/1.50 (~P3(f2(x5611),f2(f2(x5611)),f5(a3,f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[473,487,526,15,24,32])).
% 1.43/1.50 cnf(564,plain,
% 1.43/1.50 (P3(f5(a3,a4),f1(f1(a4)),f5(a3,a4))),
% 1.43/1.50 inference(scs_inference,[],[473,487,526,274,513,15,24,32,33])).
% 1.43/1.50 cnf(567,plain,
% 1.43/1.50 (~E(f2(f1(a4)),f1(f5(a3,a4)))),
% 1.43/1.50 inference(scs_inference,[],[473,487,526,306,274,130,513,15,24,32,33,11])).
% 1.43/1.50 cnf(569,plain,
% 1.43/1.50 (~P3(f5(a3,a4),f1(f1(a4)),a4)),
% 1.43/1.50 inference(scs_inference,[],[50,473,487,526,306,274,130,513,466,15,24,32,33,11,10])).
% 1.43/1.50 cnf(571,plain,
% 1.43/1.50 (P3(x5711,f1(f1(x5711)),x5711)),
% 1.43/1.50 inference(scs_inference,[],[50,473,487,526,306,274,130,513,512,466,15,24,32,33,11,10,145])).
% 1.43/1.50 cnf(572,plain,
% 1.43/1.50 (P2(f1(f2(x5721)),f5(x5721,f1(x5721)))),
% 1.43/1.50 inference(scs_inference,[],[50,473,510,556,487,526,306,274,130,354,513,512,466,15,24,32,33,11,10,145,31])).
% 1.43/1.50 cnf(576,plain,
% 1.43/1.50 (~P2(f2(x5761),f5(f2(x5761),f2(x5761)))+P2(f5(f2(x5761),f2(x5761)),f2(x5761))),
% 1.43/1.50 inference(scs_inference,[],[50,473,510,556,487,526,306,274,130,354,376,513,512,466,15,24,32,33,11,10,145,31,30])).
% 1.43/1.50 cnf(581,plain,
% 1.43/1.50 (P3(f1(f1(x5811)),f1(x5811),f1(f1(x5811)))),
% 1.43/1.50 inference(rename_variables,[],[529])).
% 1.43/1.50 cnf(584,plain,
% 1.43/1.50 (~P3(f2(a4),f1(a3),a3)),
% 1.43/1.50 inference(scs_inference,[],[50,53,39,529,571,157,32,33])).
% 1.43/1.50 cnf(586,plain,
% 1.43/1.50 (P3(f5(f2(x5861),f2(x5861)),x5861,x5861)),
% 1.43/1.50 inference(scs_inference,[],[50,53,39,529,571,500,157,282,32,33,11])).
% 1.43/1.50 cnf(588,plain,
% 1.43/1.50 (P3(f1(a3),f2(f2(a4)),f5(f1(a3),f2(a4)))),
% 1.43/1.50 inference(scs_inference,[],[50,53,39,529,571,500,517,157,366,282,32,33,11,10])).
% 1.43/1.50 cnf(590,plain,
% 1.43/1.50 (P2(f1(f1(x5901)),f1(x5901))),
% 1.43/1.50 inference(scs_inference,[],[50,53,39,529,581,571,500,517,157,366,282,32,33,11,10,25])).
% 1.43/1.50 cnf(592,plain,
% 1.43/1.50 (P3(f1(a3),f1(f2(a4)),f1(a3))),
% 1.43/1.50 inference(scs_inference,[],[50,53,39,529,581,571,546,500,517,157,366,282,14,32,33,11,10,25,24])).
% 1.43/1.50 cnf(598,plain,
% 1.43/1.50 (P2(f1(f1(a3)),f2(a4))),
% 1.43/1.50 inference(scs_inference,[],[50,53,44,39,529,581,571,551,546,500,517,157,366,357,282,14,32,33,11,10,25,24,30,13])).
% 1.43/1.50 cnf(600,plain,
% 1.43/1.50 (~P3(f1(a4),f2(f1(a4)),f1(f5(a3,a4)))),
% 1.43/1.50 inference(scs_inference,[],[50,53,44,39,521,529,581,571,551,567,546,500,517,157,366,357,282,14,32,33,11,10,25,24,30,13,29])).
% 1.43/1.50 cnf(603,plain,
% 1.43/1.50 (~P3(a3,a4,f1(f1(a4)))),
% 1.43/1.50 inference(scs_inference,[],[39,524,29])).
% 1.43/1.50 cnf(607,plain,
% 1.43/1.50 (P3(f2(f2(x6071)),f5(x6071,f1(x6071)),x6071)),
% 1.43/1.50 inference(rename_variables,[],[532])).
% 1.43/1.50 cnf(609,plain,
% 1.43/1.50 (~P3(f2(x6091),f2(x6091),f5(a3,f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[44,42,39,532,449,561,524,500,29,32,33])).
% 1.43/1.50 cnf(614,plain,
% 1.43/1.50 (~P3(a3,a4,f1(a4))),
% 1.43/1.50 inference(scs_inference,[],[44,42,39,532,449,561,489,524,500,512,29,32,33,2,11])).
% 1.43/1.50 cnf(615,plain,
% 1.43/1.50 (E(f1(x6151),f1(f1(x6151)))),
% 1.43/1.50 inference(rename_variables,[],[512])).
% 1.43/1.50 cnf(616,plain,
% 1.43/1.50 (~P3(f1(f1(x6161)),f1(x6161),f5(a3,f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[44,42,39,532,449,561,539,489,524,500,512,615,29,32,33,2,11,10])).
% 1.43/1.50 cnf(618,plain,
% 1.43/1.50 (P3(a3,f2(a4),f5(a3,f2(a4)))),
% 1.43/1.50 inference(scs_inference,[],[44,42,39,532,449,561,539,489,524,59,500,512,615,29,32,33,2,11,10,26])).
% 1.43/1.50 cnf(627,plain,
% 1.43/1.50 (~E(f5(f2(a4),f2(a4)),a3)),
% 1.43/1.50 inference(scs_inference,[],[57,44,42,39,532,607,586,449,572,561,539,489,524,598,59,500,512,615,14,29,32,33,2,11,10,26,22,31,9])).
% 1.43/1.50 cnf(629,plain,
% 1.43/1.50 (~E(f5(a3,a4),f1(a4))),
% 1.43/1.50 inference(scs_inference,[],[57,44,42,39,532,607,586,449,572,561,539,489,524,598,59,500,512,615,14,29,32,33,2,11,10,26,22,31,9,4])).
% 1.43/1.50 cnf(630,plain,
% 1.43/1.50 (P2(f1(f2(a4)),f1(f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[57,44,42,39,532,607,586,449,572,561,539,489,524,598,515,106,59,500,512,615,14,29,32,33,2,11,10,26,22,31,9,4,28])).
% 1.43/1.50 cnf(633,plain,
% 1.43/1.50 (P2(f2(f2(a4)),f1(f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[630,433,12])).
% 1.43/1.50 cnf(635,plain,
% 1.43/1.50 (P2(f1(f2(a4)),f1(a3))),
% 1.43/1.50 inference(scs_inference,[],[590,630,433,14,12,22])).
% 1.43/1.50 cnf(636,plain,
% 1.43/1.50 (P1(f1(x6361))),
% 1.43/1.50 inference(rename_variables,[],[14])).
% 1.43/1.50 cnf(637,plain,
% 1.43/1.50 (P2(f1(f1(x6371)),f1(x6371))),
% 1.43/1.50 inference(rename_variables,[],[590])).
% 1.43/1.50 cnf(639,plain,
% 1.43/1.50 (P3(f5(a3,a4),f2(f1(a4)),f5(a3,a4))),
% 1.43/1.50 inference(scs_inference,[],[39,558,590,630,433,14,12,22,32])).
% 1.43/1.50 cnf(642,plain,
% 1.43/1.50 (~P3(f2(f2(a4)),a4,f5(a3,a4))),
% 1.43/1.50 inference(scs_inference,[],[53,39,558,590,630,433,357,14,12,22,32,9])).
% 1.43/1.50 cnf(644,plain,
% 1.43/1.50 (P3(f5(f2(a3),f2(a3)),f5(a3,a4),f5(a3,a4))),
% 1.43/1.50 inference(scs_inference,[],[53,39,558,590,630,586,433,357,14,12,22,32,9,33])).
% 1.43/1.50 cnf(651,plain,
% 1.43/1.50 (P3(f1(f1(x6511)),f1(x6511),f1(x6511))),
% 1.43/1.50 inference(scs_inference,[],[53,39,558,590,637,341,630,584,586,433,466,357,282,14,636,12,22,32,9,33,11,10,23])).
% 1.43/1.50 cnf(662,plain,
% 1.43/1.50 (P2(f2(f2(a4)),f1(a3))),
% 1.43/1.50 inference(scs_inference,[],[635,76,14,22])).
% 1.43/1.50 cnf(663,plain,
% 1.43/1.50 (P1(f1(x6631))),
% 1.43/1.50 inference(rename_variables,[],[14])).
% 1.43/1.50 cnf(666,plain,
% 1.43/1.50 (~P3(f5(f2(a3),f2(a3)),f5(a3,a4),a4)),
% 1.43/1.50 inference(scs_inference,[],[50,644,635,76,274,14,22,32])).
% 1.43/1.50 cnf(668,plain,
% 1.43/1.50 (P3(f5(a3,f1(a3)),a4,f5(a3,a4))),
% 1.43/1.50 inference(scs_inference,[],[39,50,644,635,76,274,277,14,22,32,9])).
% 1.43/1.50 cnf(670,plain,
% 1.43/1.50 (P3(f1(a3),f2(a4),f1(a3))),
% 1.43/1.50 inference(scs_inference,[],[39,50,644,635,592,76,274,242,277,14,22,32,9,33])).
% 1.43/1.50 cnf(673,plain,
% 1.43/1.50 (P3(f1(a3),f1(f2(a4)),f1(f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[39,50,644,635,592,76,274,242,512,277,14,22,32,9,33,11])).
% 1.43/1.50 cnf(674,plain,
% 1.43/1.50 (E(f1(x6741),f1(f1(x6741)))),
% 1.43/1.50 inference(rename_variables,[],[512])).
% 1.43/1.50 cnf(675,plain,
% 1.43/1.50 (P3(f1(f1(x6751)),f1(f1(x6751)),f1(x6751))),
% 1.43/1.50 inference(scs_inference,[],[39,50,651,644,635,592,76,274,242,512,674,277,14,22,32,9,33,11,10])).
% 1.43/1.50 cnf(677,plain,
% 1.43/1.50 (P3(f1(f2(a4)),f1(a3),f1(a3))),
% 1.43/1.50 inference(scs_inference,[],[39,50,651,644,635,592,76,274,242,512,674,277,14,663,22,32,9,33,11,10,23])).
% 1.43/1.50 cnf(680,plain,
% 1.43/1.50 (P2(f5(f1(a3),f2(a4)),f2(f2(a4)))),
% 1.43/1.50 inference(scs_inference,[],[39,50,651,644,635,541,592,76,532,274,242,512,674,277,14,663,22,32,9,33,11,10,23,27])).
% 1.43/1.50 cnf(683,plain,
% 1.43/1.50 (P2(f5(f2(a3),f2(a3)),f5(a3,f2(a4)))),
% 1.43/1.50 inference(scs_inference,[],[39,59,50,651,644,635,541,592,618,76,532,274,242,586,512,674,277,14,663,22,32,9,33,11,10,23,27,31])).
% 1.43/1.50 cnf(688,plain,
% 1.43/1.50 (P3(f2(f2(a4)),f1(a3),f2(f2(a4)))),
% 1.43/1.50 inference(scs_inference,[],[662,14,24])).
% 1.43/1.50 cnf(695,plain,
% 1.43/1.50 (P3(f2(f2(a4)),f1(a3),f1(a3))),
% 1.43/1.50 inference(scs_inference,[],[39,59,53,662,677,184,433,277,14,24,12,32,9])).
% 1.43/1.50 cnf(702,plain,
% 1.43/1.50 (~P3(f2(x7021),f1(f2(x7021)),f5(a3,f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[39,59,50,53,609,662,677,184,431,433,203,282,277,14,24,12,32,9,33,11,10])).
% 1.43/1.50 cnf(704,plain,
% 1.43/1.50 (P2(a3,f5(a4,f1(a4)))),
% 1.43/1.50 inference(scs_inference,[],[39,59,50,53,609,662,677,410,184,431,433,203,282,277,14,24,12,32,9,33,11,10,25])).
% 1.43/1.50 cnf(706,plain,
% 1.43/1.50 (~P3(f2(a4),f1(a3),x7061)+P2(f2(f2(a4)),x7061)),
% 1.43/1.50 inference(scs_inference,[],[39,59,50,53,44,609,662,677,410,184,431,433,203,282,277,14,24,12,32,9,33,11,10,25,31])).
% 1.43/1.50 cnf(714,plain,
% 1.43/1.50 (P3(f5(f1(a3),f2(a4)),f2(a4),f5(f1(a3),f2(a4)))),
% 1.43/1.50 inference(scs_inference,[],[44,588,32])).
% 1.43/1.50 cnf(715,plain,
% 1.43/1.50 (P3(f2(f2(x7151)),f2(x7151),f2(f2(x7151)))),
% 1.43/1.50 inference(rename_variables,[],[44])).
% 1.43/1.50 cnf(717,plain,
% 1.43/1.50 (~P3(f2(f2(a3)),f5(a3,a4),f5(a4,f1(a4)))),
% 1.43/1.50 inference(scs_inference,[],[44,402,588,357,32,9])).
% 1.43/1.50 cnf(721,plain,
% 1.43/1.50 (~E(f5(a3,a4),f1(f1(a4)))),
% 1.43/1.50 inference(scs_inference,[],[44,564,402,603,588,113,357,39,32,9,33,11])).
% 1.43/1.50 cnf(722,plain,
% 1.43/1.50 (~P3(a3,f5(a4,f1(a4)),f1(a4))),
% 1.43/1.50 inference(scs_inference,[],[44,564,402,614,603,588,113,357,282,39,32,9,33,11,10])).
% 1.43/1.50 cnf(724,plain,
% 1.43/1.50 (P3(f5(a3,a4),f1(a4),f5(f5(a3,a4),f1(a4)))),
% 1.43/1.50 inference(scs_inference,[],[44,564,402,614,603,588,98,113,357,282,39,32,9,33,11,10,26])).
% 1.43/1.50 cnf(726,plain,
% 1.43/1.50 (~P3(f5(a3,a4),f1(f1(a4)),f1(a4))),
% 1.43/1.50 inference(scs_inference,[],[44,564,402,614,629,603,588,98,113,357,282,39,32,9,33,11,10,26,29])).
% 1.43/1.50 cnf(729,plain,
% 1.43/1.50 (P3(f2(f2(x7291)),f2(x7291),f2(f2(x7291)))),
% 1.43/1.50 inference(rename_variables,[],[44])).
% 1.43/1.50 cnf(731,plain,
% 1.43/1.50 (~E(a3,f5(f2(a4),f2(a4)))),
% 1.43/1.50 inference(scs_inference,[],[44,715,564,402,680,614,629,627,603,588,98,113,357,282,39,32,9,33,11,10,26,29,30,2])).
% 1.43/1.50 cnf(732,plain,
% 1.43/1.50 (P2(f2(a4),f1(f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[44,715,729,564,402,633,680,614,629,627,603,588,98,113,357,282,39,32,9,33,11,10,26,29,30,2,28])).
% 1.43/1.50 cnf(735,plain,
% 1.43/1.50 (~E(f5(a3,f1(a3)),f5(f2(a4),f2(a4)))),
% 1.43/1.50 inference(scs_inference,[],[44,715,729,564,402,633,680,614,629,627,603,588,98,113,357,282,277,39,32,9,33,11,10,26,29,30,2,28,3])).
% 1.43/1.50 cnf(737,plain,
% 1.43/1.50 (~P3(f1(a4),f1(f1(a4)),f5(a3,a4))),
% 1.43/1.50 inference(scs_inference,[],[47,721,29])).
% 1.43/1.50 cnf(738,plain,
% 1.43/1.50 (P3(f1(x7381),f1(f1(x7381)),f1(f1(x7381)))),
% 1.43/1.50 inference(rename_variables,[],[47])).
% 1.43/1.50 cnf(740,plain,
% 1.43/1.50 (P3(f5(a3,f2(a4)),f2(a4),f5(a3,f2(a4)))),
% 1.43/1.50 inference(scs_inference,[],[47,721,231,618,29,32])).
% 1.43/1.50 cnf(746,plain,
% 1.43/1.50 (P3(f2(f2(a4)),f1(a3),f1(f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[47,738,569,721,724,695,231,618,512,29,32,33,11])).
% 1.43/1.50 cnf(747,plain,
% 1.43/1.50 (E(f1(x7471),f1(f1(x7471)))),
% 1.43/1.50 inference(rename_variables,[],[512])).
% 1.43/1.50 cnf(748,plain,
% 1.43/1.50 (P3(f5(a3,a4),f1(f1(a4)),f5(f5(a3,a4),f1(a4)))),
% 1.43/1.50 inference(scs_inference,[],[47,738,569,721,724,695,231,618,512,747,29,32,33,11,10])).
% 1.43/1.50 cnf(752,plain,
% 1.43/1.50 (P2(f2(f2(a3)),f5(f2(a3),f2(a3)))),
% 1.43/1.50 inference(scs_inference,[],[47,738,569,549,721,724,695,178,231,644,618,410,512,747,29,32,33,11,10,31,27])).
% 1.43/1.50 cnf(754,plain,
% 1.43/1.50 (P2(f1(f1(a3)),f5(a4,f1(a4)))),
% 1.43/1.50 inference(scs_inference,[],[47,738,569,549,721,724,695,704,178,231,571,644,618,410,512,747,29,32,33,11,10,31,27,28])).
% 1.43/1.50 cnf(757,plain,
% 1.43/1.50 (P2(f2(a4),f1(a3))),
% 1.43/1.50 inference(scs_inference,[],[47,738,569,549,721,724,732,695,704,178,231,571,644,618,410,466,512,747,29,32,33,11,10,31,27,28,13])).
% 1.43/1.50 cnf(759,plain,
% 1.43/1.50 (~P3(f1(f1(a4)),f1(a4),f1(f5(a3,a4)))),
% 1.43/1.50 inference(scs_inference,[],[73,675,32])).
% 1.43/1.50 cnf(762,plain,
% 1.43/1.50 (P3(f5(a3,f1(a3)),a4,f5(f5(a3,a4),f1(a4)))),
% 1.43/1.50 inference(scs_inference,[],[73,748,668,675,571,32,33])).
% 1.43/1.50 cnf(767,plain,
% 1.43/1.50 (P2(f1(f2(a3)),f5(f2(a3),f2(a3)))),
% 1.43/1.50 inference(scs_inference,[],[73,752,748,668,675,571,390,512,32,33,10,12])).
% 1.43/1.50 cnf(771,plain,
% 1.43/1.50 (~P3(f5(a3,a4),f1(f1(a4)),f1(f1(a4)))),
% 1.43/1.50 inference(scs_inference,[],[73,752,748,683,726,668,675,571,390,466,512,32,33,10,12,22,11])).
% 1.43/1.50 cnf(780,plain,
% 1.43/1.50 (P3(f2(a4),f1(a3),f1(a3))),
% 1.43/1.50 inference(scs_inference,[],[754,757,258,15,14,22,23])).
% 1.43/1.50 cnf(785,plain,
% 1.43/1.50 (P3(f1(x7851),f1(f1(x7851)),f1(f1(x7851)))),
% 1.43/1.50 inference(rename_variables,[],[47])).
% 1.43/1.50 cnf(787,plain,
% 1.43/1.50 (P3(a3,a4,f5(f5(a3,a4),f1(a4)))),
% 1.43/1.50 inference(scs_inference,[],[47,771,762,754,757,258,15,282,14,22,23,32,9])).
% 1.43/1.50 cnf(788,plain,
% 1.43/1.50 (E(f5(x7881,f1(x7881)),x7881)),
% 1.43/1.50 inference(rename_variables,[],[282])).
% 1.43/1.50 cnf(789,plain,
% 1.43/1.50 (~P3(f5(a3,a4),f1(a4),f1(a4))),
% 1.43/1.50 inference(scs_inference,[],[47,785,771,762,754,757,258,15,282,14,22,23,32,9,33])).
% 1.43/1.50 cnf(792,plain,
% 1.43/1.50 (~P3(f2(f2(a4)),f5(a4,f1(a4)),f5(a3,a4))),
% 1.43/1.50 inference(scs_inference,[],[47,785,642,771,762,754,757,258,15,282,788,14,22,23,32,9,33,10])).
% 1.43/1.50 cnf(796,plain,
% 1.43/1.50 (P2(f2(a3),f5(f5(a3,a4),f1(a4)))),
% 1.43/1.50 inference(scs_inference,[],[47,785,714,642,771,762,754,757,258,354,450,15,282,788,14,22,23,32,9,33,10,25,31])).
% 1.43/1.50 cnf(802,plain,
% 1.43/1.50 (P2(f2(f2(a3)),f5(f5(a3,a4),f1(a4)))),
% 1.43/1.50 inference(scs_inference,[],[796,366,12])).
% 1.43/1.50 cnf(804,plain,
% 1.43/1.50 (~P1(f5(a3,a4))),
% 1.43/1.50 inference(scs_inference,[],[796,789,98,366,12,23])).
% 1.43/1.50 cnf(806,plain,
% 1.43/1.50 (E(f2(f1(x8061)),f1(x8061))),
% 1.43/1.50 inference(scs_inference,[],[796,789,306,98,366,20,12,23,29])).
% 1.43/1.50 cnf(809,plain,
% 1.43/1.50 (E(f1(x8091),f2(f1(x8091)))),
% 1.43/1.50 inference(scs_inference,[],[796,789,306,98,366,20,12,23,29,2])).
% 1.43/1.50 cnf(810,plain,
% 1.43/1.50 (P3(f5(f1(a3),f2(a4)),f1(a3),f1(f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[47,796,746,789,306,588,98,366,20,12,23,29,2,32])).
% 1.43/1.50 cnf(813,plain,
% 1.43/1.50 (P3(f1(f1(a3)),f2(a4),f1(a3))),
% 1.43/1.50 inference(scs_inference,[],[47,796,746,789,670,306,588,98,366,512,20,12,23,29,2,32,9])).
% 1.43/1.50 cnf(814,plain,
% 1.43/1.50 (E(f1(x8141),f1(f1(x8141)))),
% 1.43/1.50 inference(rename_variables,[],[512])).
% 1.43/1.50 cnf(818,plain,
% 1.43/1.50 (P3(f2(f2(a4)),f1(a3),f1(f2(a4)))),
% 1.43/1.50 inference(scs_inference,[],[47,50,796,746,789,688,670,651,748,306,588,98,366,390,512,20,12,23,29,2,32,9,33,11])).
% 1.43/1.50 cnf(820,plain,
% 1.43/1.50 (P3(f2(a4),f1(f1(a3)),f1(a3))),
% 1.43/1.50 inference(scs_inference,[],[47,50,796,746,789,780,688,670,651,748,306,588,98,366,390,512,814,20,12,23,29,2,32,9,33,11,10])).
% 1.43/1.50 cnf(822,plain,
% 1.43/1.50 (P3(f2(a4),f1(a3),f5(f2(a4),f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[47,50,796,746,789,780,688,670,651,748,757,306,588,98,366,390,512,814,20,12,23,29,2,32,9,33,11,10,26])).
% 1.43/1.50 cnf(826,plain,
% 1.43/1.50 (P2(f5(f5(a3,a4),f1(a4)),f2(f1(a4)))),
% 1.43/1.50 inference(scs_inference,[],[47,50,796,746,789,780,787,688,381,670,651,748,757,306,588,98,558,366,390,512,814,16,20,12,23,29,2,32,9,33,11,10,26,31,30])).
% 1.43/1.50 cnf(831,plain,
% 1.43/1.50 (~E(f1(x8311),f5(a3,a4))),
% 1.43/1.50 inference(scs_inference,[],[47,50,796,746,789,780,787,688,381,670,651,748,757,306,588,98,558,366,390,512,814,16,20,12,23,29,2,32,9,33,11,10,26,31,30,706,41])).
% 1.43/1.50 cnf(832,plain,
% 1.43/1.50 (P2(f2(a3),f5(f2(a3),f2(a3)))),
% 1.43/1.50 inference(scs_inference,[],[47,50,767,796,746,789,780,787,688,381,670,651,748,757,306,250,588,98,558,366,390,512,814,16,20,12,23,29,2,32,9,33,11,10,26,31,30,706,41,28])).
% 1.43/1.50 cnf(836,plain,
% 1.43/1.50 (E(f1(f1(x8361)),f2(f1(x8361)))),
% 1.43/1.50 inference(scs_inference,[],[809,466,3])).
% 1.43/1.50 cnf(838,plain,
% 1.43/1.50 (P2(f5(f5(a3,a4),f1(a4)),f1(a4))),
% 1.43/1.50 inference(scs_inference,[],[806,809,826,466,3,13])).
% 1.43/1.50 cnf(839,plain,
% 1.43/1.50 (E(f2(f1(x8391)),f1(x8391))),
% 1.43/1.50 inference(rename_variables,[],[806])).
% 1.43/1.50 cnf(840,plain,
% 1.43/1.50 (~P3(f1(x8401),f1(f1(x8401)),f5(a3,a4))),
% 1.43/1.50 inference(scs_inference,[],[47,806,809,831,826,466,3,13,29])).
% 1.43/1.50 cnf(843,plain,
% 1.43/1.50 (~E(f5(f2(a4),f2(a4)),f5(a3,f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[47,806,809,735,831,826,466,3,13,29,2])).
% 1.43/1.50 cnf(844,plain,
% 1.43/1.50 (P3(f1(f1(a3)),f2(a4),f1(f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[47,806,809,735,831,826,810,670,466,3,13,29,2,32])).
% 1.43/1.50 cnf(846,plain,
% 1.43/1.50 (~P3(f2(f1(a4)),f1(f1(a4)),f5(a3,a4))),
% 1.43/1.50 inference(scs_inference,[],[47,806,839,809,735,831,826,737,810,670,466,3,13,29,2,32,9])).
% 1.43/1.50 cnf(848,plain,
% 1.43/1.50 (P3(f5(f1(a3),f2(a4)),f1(f1(a3)),f1(a3))),
% 1.43/1.50 inference(scs_inference,[],[47,806,839,809,735,831,826,737,810,675,670,466,3,13,29,2,32,9,33])).
% 1.43/1.50 cnf(856,plain,
% 1.43/1.50 (P2(f5(f2(a3),f2(a3)),f2(a3))),
% 1.43/1.50 inference(scs_inference,[],[47,806,839,809,735,831,832,826,737,810,813,537,675,670,366,466,3,13,29,2,32,9,33,11,10,576])).
% 1.43/1.50 cnf(863,plain,
% 1.43/1.50 (~E(f2(x8631),f5(a3,a4))),
% 1.43/1.50 inference(scs_inference,[],[47,806,839,809,735,831,804,832,826,737,740,810,813,537,483,675,670,431,366,466,15,3,13,29,2,32,9,33,11,10,576,30,145,8])).
% 1.43/1.50 cnf(864,plain,
% 1.43/1.50 (P2(f2(f1(a3)),f5(f1(a3),f2(a4)))),
% 1.43/1.50 inference(scs_inference,[],[47,57,806,839,809,735,831,804,832,826,737,740,810,813,537,483,675,670,431,366,466,15,3,13,29,2,32,9,33,11,10,576,30,145,8,27])).
% 1.43/1.50 cnf(867,plain,
% 1.43/1.50 (P2(f1(a4),f1(f5(a3,a4)))),
% 1.43/1.50 inference(scs_inference,[],[47,57,806,839,809,735,831,804,832,826,737,740,810,813,537,383,483,675,367,670,431,366,466,15,3,13,29,2,32,9,33,11,10,576,30,145,8,27,28])).
% 1.43/1.50 cnf(870,plain,
% 1.43/1.50 (P2(f5(f5(a3,a4),f1(a4)),f1(f5(a3,a4)))),
% 1.43/1.50 inference(scs_inference,[],[867,838,14,22])).
% 1.43/1.50 cnf(871,plain,
% 1.43/1.50 (P1(f1(x8711))),
% 1.43/1.50 inference(rename_variables,[],[14])).
% 1.43/1.50 cnf(873,plain,
% 1.43/1.50 (P3(f1(a4),f1(f5(a3,a4)),f1(f5(a3,a4)))),
% 1.43/1.50 inference(scs_inference,[],[867,838,14,871,22,23])).
% 1.43/1.50 cnf(874,plain,
% 1.43/1.50 (P1(f1(x8741))),
% 1.43/1.50 inference(rename_variables,[],[14])).
% 1.43/1.50 cnf(878,plain,
% 1.43/1.50 (E(f2(f1(x8781)),f1(f1(x8781)))),
% 1.43/1.50 inference(scs_inference,[],[836,863,867,838,639,14,871,22,23,29,2])).
% 1.43/1.50 cnf(882,plain,
% 1.43/1.50 (P3(f2(f1(a3)),f2(a4),f1(f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[836,840,863,867,838,844,820,639,813,14,871,22,23,29,2,32,9])).
% 1.43/1.50 cnf(884,plain,
% 1.43/1.50 (P3(f2(f2(a4)),f1(f1(a3)),f1(a3))),
% 1.43/1.50 inference(scs_inference,[],[836,840,863,867,838,818,844,820,639,813,677,513,14,871,22,23,29,2,32,9,33])).
% 1.43/1.50 cnf(893,plain,
% 1.43/1.50 (P3(f1(a4),f1(f5(a3,a4)),f1(a4))),
% 1.43/1.50 inference(scs_inference,[],[57,836,616,840,863,600,867,838,818,844,848,820,639,813,677,513,277,14,871,874,22,23,29,2,32,9,33,11,10,31,24])).
% 1.43/1.50 cnf(899,plain,
% 1.43/1.50 (P3(f1(f1(a3)),a4,a4)),
% 1.43/1.50 inference(scs_inference,[],[303,14,23])).
% 1.43/1.50 cnf(903,plain,
% 1.43/1.50 (E(f2(x9031),f1(f2(x9031)))),
% 1.43/1.50 inference(rename_variables,[],[191])).
% 1.43/1.50 cnf(907,plain,
% 1.43/1.50 (P3(f1(f2(a4)),f1(a3),f5(f2(a4),f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[792,822,856,303,831,184,410,191,903,14,23,13,2,32,9])).
% 1.43/1.50 cnf(909,plain,
% 1.43/1.50 (P3(f2(a4),f5(f2(a4),f1(a3)),f5(f2(a4),f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[792,822,856,303,831,231,184,410,191,903,14,23,13,2,32,9,33])).
% 1.43/1.50 cnf(912,plain,
% 1.43/1.50 (P3(f2(f1(a3)),f2(a4),f2(f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[792,882,822,856,303,831,231,184,836,410,191,903,14,23,13,2,32,9,33,11])).
% 1.43/1.50 cnf(913,plain,
% 1.43/1.50 (E(f1(f1(x9131)),f2(f1(x9131)))),
% 1.43/1.50 inference(rename_variables,[],[836])).
% 1.43/1.50 cnf(916,plain,
% 1.43/1.50 (P2(f5(f1(a3),f2(a4)),f1(f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[792,882,884,822,856,303,831,848,231,184,836,913,410,191,903,14,23,13,2,32,9,33,11,10,25])).
% 1.43/1.50 cnf(927,plain,
% 1.43/1.50 (P3(f2(f2(a4)),f1(a3),f5(f2(a4),f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[909,907,362,836,145,32])).
% 1.43/1.50 cnf(932,plain,
% 1.43/1.50 (~P3(f1(a3),a4,f5(a3,a4))),
% 1.43/1.50 inference(scs_inference,[],[53,84,909,907,899,820,362,836,282,145,32,9,33])).
% 1.43/1.50 cnf(934,plain,
% 1.43/1.50 (P3(f1(a4),f1(f5(a3,a4)),f2(f1(a4)))),
% 1.43/1.50 inference(scs_inference,[],[53,84,909,907,893,899,820,362,809,836,282,145,32,9,33,11])).
% 1.43/1.50 cnf(936,plain,
% 1.43/1.50 (P3(f2(a3),f5(a3,a4),f5(f2(a3),f5(a3,a4)))),
% 1.43/1.50 inference(scs_inference,[],[53,84,909,907,893,899,820,362,128,809,836,282,145,32,9,33,11,26])).
% 1.43/1.50 cnf(952,plain,
% 1.43/1.50 (P3(f2(a4),f1(a3),f2(a4))),
% 1.43/1.50 inference(scs_inference,[],[843,449,688,367,29,32])).
% 1.43/1.50 cnf(955,plain,
% 1.43/1.50 (P3(f2(a3),f5(f2(a3),f5(a3,a4)),f5(a3,a4))),
% 1.43/1.50 inference(scs_inference,[],[843,936,449,473,688,367,184,29,32,33])).
% 1.43/1.50 cnf(958,plain,
% 1.43/1.50 (P3(f1(a3),f2(a4),f2(f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[843,936,912,449,473,806,688,367,184,29,32,33,9])).
% 1.43/1.50 cnf(965,plain,
% 1.43/1.50 (P2(f1(f1(x9651)),f1(x9651))),
% 1.43/1.50 inference(rename_variables,[],[590])).
% 1.43/1.50 cnf(967,plain,
% 1.43/1.50 (P2(f5(f2(a3),f5(a3,a4)),f2(f1(a4)))),
% 1.43/1.50 inference(scs_inference,[],[843,717,870,936,912,802,673,590,907,449,473,806,688,639,367,184,128,277,29,32,33,9,11,22,31,30])).
% 1.43/1.50 cnf(969,plain,
% 1.43/1.50 (P2(f1(f1(a3)),f5(f1(a3),f2(a4)))),
% 1.43/1.50 inference(scs_inference,[],[843,717,870,936,912,864,802,673,590,907,449,878,473,806,688,639,367,184,128,277,29,32,33,9,11,22,31,30,12])).
% 1.43/1.50 cnf(974,plain,
% 1.43/1.50 (P2(f2(a4),f5(f1(a3),f2(a4)))),
% 1.43/1.50 inference(scs_inference,[],[843,717,870,936,912,864,802,673,590,965,907,449,878,473,806,688,639,677,367,184,128,277,29,32,33,9,11,22,31,30,12,27,28])).
% 1.43/1.50 cnf(976,plain,
% 1.43/1.50 (P2(a3,f5(f1(a3),f2(a4)))),
% 1.43/1.50 inference(scs_inference,[],[59,974,15,22])).
% 1.43/1.50 cnf(982,plain,
% 1.43/1.50 (P3(a3,f5(f2(a4),f2(a4)),a3)),
% 1.43/1.50 inference(scs_inference,[],[88,59,702,974,952,673,376,15,22,32,33])).
% 1.43/1.50 cnf(985,plain,
% 1.43/1.50 (P3(f1(f2(a3)),f5(f2(a3),f5(a3,a4)),f5(a3,a4))),
% 1.43/1.50 inference(scs_inference,[],[88,59,702,974,955,952,673,376,191,15,22,32,33,9])).
% 1.43/1.50 cnf(987,plain,
% 1.43/1.50 (P3(f1(a3),f2(a4),f1(f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[88,59,702,974,955,958,952,673,376,878,191,15,22,32,33,9,11])).
% 1.43/1.50 cnf(989,plain,
% 1.43/1.50 (P2(f1(a3),f5(f1(a3),f2(a4)))),
% 1.43/1.50 inference(scs_inference,[],[88,59,702,969,974,955,958,952,673,376,878,191,466,15,22,32,33,9,11,12])).
% 1.43/1.50 cnf(991,plain,
% 1.43/1.50 (P2(f5(f2(a3),f5(a3,a4)),f1(a4))),
% 1.43/1.50 inference(scs_inference,[],[88,59,702,969,974,967,955,958,952,673,376,806,878,191,466,15,22,32,33,9,11,12,13])).
% 1.43/1.50 cnf(996,plain,
% 1.43/1.50 (~P3(f1(a3),f5(a4,f1(a4)),f5(a3,a4))),
% 1.43/1.50 inference(scs_inference,[],[88,59,702,969,974,932,967,955,958,952,210,510,673,376,806,878,191,466,15,282,22,32,33,9,11,12,13,30,10])).
% 1.43/1.50 cnf(1008,plain,
% 1.43/1.50 (P3(a3,f5(f2(a4),f2(a4)),f5(a3,f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[88,996,991,244,666,982,958,936,376,806,277,14,24,32,33,9,11])).
% 1.43/1.50 cnf(1010,plain,
% 1.43/1.50 (P3(a3,f2(f2(a4)),a3)),
% 1.43/1.50 inference(scs_inference,[],[88,996,991,244,666,982,958,936,376,806,366,277,14,24,32,33,9,11,10])).
% 1.43/1.50 cnf(1014,plain,
% 1.43/1.50 (P2(f5(f1(a3),f2(a4)),f1(a3))),
% 1.43/1.50 inference(scs_inference,[],[88,996,991,244,985,666,987,982,916,958,936,376,806,366,277,14,24,32,33,9,11,10,25,27])).
% 1.43/1.50 cnf(1019,plain,
% 1.43/1.50 (P2(f5(f1(a3),f2(a4)),f2(f1(a3)))),
% 1.43/1.50 inference(scs_inference,[],[1014,809,13])).
% 1.43/1.50 cnf(1020,plain,
% 1.43/1.50 (E(f1(x10201),f2(f1(x10201)))),
% 1.43/1.50 inference(rename_variables,[],[809])).
% 1.43/1.50 cnf(1029,plain,
% 1.43/1.50 (P3(f2(a4),f2(f1(a3)),f2(a4))),
% 1.43/1.50 inference(scs_inference,[],[80,1014,1008,722,934,952,724,327,809,1020,806,283,13,32,33,11,10])).
% 1.43/1.50 cnf(1031,plain,
% 1.43/1.50 (P3(f1(x10311),f1(x10311),f5(f1(x10311),f1(x10311)))),
% 1.43/1.50 inference(scs_inference,[],[80,1014,1008,722,934,952,724,95,327,809,1020,806,283,13,32,33,11,10,26])).
% 1.43/1.50 cnf(1041,plain,
% 1.43/1.51 (P3(f2(f1(x10411)),f1(x10411),f5(f1(x10411),f1(x10411)))),
% 1.43/1.51 inference(scs_inference,[],[91,1031,404,327,809,101,32,9])).
% 1.43/1.51 cnf(1046,plain,
% 1.43/1.51 (P3(f1(a4),f1(f5(a3,a4)),f1(f1(a4)))),
% 1.43/1.51 inference(scs_inference,[],[91,1031,404,1010,927,934,255,327,878,809,101,32,9,33,11])).
% 1.43/1.51 cnf(1047,plain,
% 1.43/1.51 (E(f2(f1(x10471)),f1(f1(x10471)))),
% 1.43/1.51 inference(rename_variables,[],[878])).
% 1.43/1.51 cnf(1059,plain,
% 1.43/1.51 (P2(f5(f1(a3),f1(a3)),f2(a4))),
% 1.43/1.51 inference(scs_inference,[],[91,88,1031,731,989,846,1019,404,1010,927,934,714,517,255,327,878,1047,809,14,101,32,9,33,11,10,29,23,28,31,30])).
% 1.43/1.51 cnf(1069,plain,
% 1.43/1.51 (~P3(f1(f5(a3,a4)),f1(a4),f1(f5(a3,a4)))),
% 1.43/1.51 inference(scs_inference,[],[69,976,1059,759,1046,873,985,15,277,24,12,29,32])).
% 1.43/1.51 cnf(1075,plain,
% 1.43/1.51 (P3(f2(f1(x10751)),f1(x10751),f5(f1(x10751),f1(x10751)))),
% 1.43/1.51 inference(rename_variables,[],[1041])).
% 1.43/1.51 cnf(1080,plain,
% 1.43/1.51 (P2(f1(f5(a3,a4)),f1(a4))),
% 1.43/1.51 inference(scs_inference,[],[69,95,1041,1075,1029,976,1059,759,1046,873,985,740,130,618,272,878,15,277,24,12,29,32,33,9,11,10,27])).
% 1.43/1.51 cnf(1090,plain,
% 1.43/1.51 ($false),
% 1.43/1.51 inference(scs_inference,[],[1069,1080,14,24]),
% 1.43/1.51 ['proof']).
% 1.43/1.51 % SZS output end Proof
% 1.43/1.51 % Total time :0.850000s
%------------------------------------------------------------------------------