TSTP Solution File: KLE074+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : KLE074+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n021.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 05:25:10 EDT 2023
% Result : Theorem 63.61s 63.67s
% Output : CNFRefutation 63.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KLE074+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n021.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 : Tue Aug 29 11:23:14 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 63.61/63.66 %-------------------------------------------
% 63.61/63.66 % File :CSE---1.6
% 63.61/63.66 % Problem :theBenchmark
% 63.61/63.66 % Transform :cnf
% 63.61/63.66 % Format :tptp:raw
% 63.61/63.66 % Command :java -jar mcs_scs.jar %d %s
% 63.61/63.66
% 63.61/63.66 % Result :Theorem 63.030000s
% 63.61/63.66 % Output :CNFRefutation 63.030000s
% 63.61/63.66 %-------------------------------------------
% 63.61/63.66 %------------------------------------------------------------------------------
% 63.61/63.66 % File : KLE074+1 : TPTP v8.1.2. Released v4.0.0.
% 63.61/63.66 % Domain : Kleene Algebra (Domain Semirings)
% 63.61/63.66 % Problem : Domain elements satisfy the third Kleene module axiom.
% 63.61/63.66 % Version : [Hoe08] axioms.
% 63.61/63.66 % English :
% 63.61/63.66
% 63.61/63.66 % Refs : [DMS06] Desharnais et al. (2006), Kleene Algebra with Domain
% 63.61/63.66 % : [Lei06] Leiss (2006), Kleene Modules and Linear Languages
% 63.61/63.66 % : [DS08] Desharnais & Struth (2008), Modal Semirings Revisited
% 63.61/63.66 % : [Hoe08] Hoefner (2008), Email to G. Sutcliffe
% 63.61/63.66 % Source : [Hoe08]
% 63.61/63.66 % Names :
% 63.61/63.66
% 63.61/63.66 % Status : Theorem
% 63.61/63.66 % Rating : 0.11 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.07 v7.3.0, 0.14 v7.1.0, 0.17 v7.0.0, 0.13 v6.4.0, 0.15 v6.3.0, 0.17 v6.2.0, 0.20 v6.1.0, 0.27 v6.0.0, 0.22 v5.5.0, 0.26 v5.4.0, 0.32 v5.3.0, 0.37 v5.2.0, 0.25 v5.1.0, 0.29 v4.1.0, 0.26 v4.0.0
% 63.61/63.66 % Syntax : Number of formulae : 18 ( 17 unt; 0 def)
% 63.61/63.66 % Number of atoms : 19 ( 18 equ)
% 63.61/63.66 % Maximal formula atoms : 2 ( 1 avg)
% 63.61/63.66 % Number of connectives : 1 ( 0 ~; 0 |; 0 &)
% 63.61/63.66 % ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% 63.61/63.66 % Maximal formula depth : 4 ( 3 avg)
% 63.61/63.66 % Maximal term depth : 6 ( 2 avg)
% 63.61/63.66 % Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% 63.61/63.66 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 63.61/63.66 % Number of variables : 31 ( 31 !; 0 ?)
% 63.61/63.66 % SPC : FOF_THM_RFO_SEQ
% 63.61/63.66
% 63.61/63.66 % Comments : Equational encoding
% 63.61/63.66 %------------------------------------------------------------------------------
% 63.61/63.66 %---Include axioms for domain semiring
% 63.61/63.66 include('Axioms/KLE001+0.ax').
% 63.61/63.66 %---Include axioms for domain
% 63.61/63.67 include('Axioms/KLE001+5.ax').
% 63.61/63.67 %------------------------------------------------------------------------------
% 63.61/63.67 fof(goals,conjecture,
% 63.61/63.67 ! [X0,X1,X2] : domain(multiplication(multiplication(X0,X1),domain(X2))) = domain(multiplication(X0,domain(multiplication(X1,domain(X2))))) ).
% 63.61/63.67
% 63.61/63.67 %------------------------------------------------------------------------------
% 63.61/63.67 %-------------------------------------------
% 63.61/63.67 % Proof found
% 63.61/63.67 % SZS status Theorem for theBenchmark
% 63.61/63.67 % SZS output start Proof
% 63.61/63.67 %ClaNum:29(EqnAxiom:10)
% 63.61/63.67 %VarNum:65(SingletonVarNum:30)
% 63.61/63.67 %MaxLitNum:2
% 63.61/63.67 %MaxfuncDepth:5
% 63.61/63.67 %SharedTerms:16
% 63.61/63.67 %goalClause: 27
% 63.61/63.67 %singleGoalClaCount:1
% 63.61/63.67 [11]E(f2(a1),a1)
% 63.61/63.67 [27]~E(f2(f4(f4(a5,a6),f2(a7))),f2(f4(a5,f2(f4(a6,f2(a7))))))
% 63.61/63.67 [12]E(f4(x121,a1),a1)
% 63.61/63.67 [13]E(f4(a1,x131),a1)
% 63.61/63.67 [14]E(f3(x141,a1),x141)
% 63.61/63.67 [15]E(f4(x151,a8),x151)
% 63.61/63.67 [16]E(f4(a8,x161),x161)
% 63.61/63.67 [17]E(f3(x171,x171),x171)
% 63.61/63.67 [18]E(f3(f2(x181),a8),a8)
% 63.61/63.67 [22]E(f3(x221,f4(f2(x221),x221)),f4(f2(x221),x221))
% 63.61/63.67 [19]E(f3(x191,x192),f3(x192,x191))
% 63.61/63.67 [20]E(f2(f3(x201,x202)),f3(f2(x201),f2(x202)))
% 63.61/63.67 [21]E(f2(f4(x211,f2(x212))),f2(f4(x211,x212)))
% 63.61/63.67 [23]E(f3(f3(x231,x232),x233),f3(x231,f3(x232,x233)))
% 63.61/63.67 [24]E(f4(f4(x241,x242),x243),f4(x241,f4(x242,x243)))
% 63.61/63.67 [25]E(f3(f4(x251,x252),f4(x251,x253)),f4(x251,f3(x252,x253)))
% 63.61/63.67 [26]E(f3(f4(x261,x262),f4(x263,x262)),f4(f3(x261,x263),x262))
% 63.61/63.67 [28]~P1(x281,x282)+E(f3(x281,x282),x282)
% 63.61/63.67 [29]P1(x291,x292)+~E(f3(x291,x292),x292)
% 63.61/63.67 %EqnAxiom
% 63.61/63.67 [1]E(x11,x11)
% 63.61/63.67 [2]E(x22,x21)+~E(x21,x22)
% 63.61/63.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 63.61/63.67 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 63.61/63.67 [5]~E(x51,x52)+E(f4(x51,x53),f4(x52,x53))
% 63.61/63.67 [6]~E(x61,x62)+E(f4(x63,x61),f4(x63,x62))
% 63.61/63.67 [7]~E(x71,x72)+E(f3(x71,x73),f3(x72,x73))
% 63.61/63.67 [8]~E(x81,x82)+E(f3(x83,x81),f3(x83,x82))
% 63.61/63.67 [9]P1(x92,x93)+~E(x91,x92)+~P1(x91,x93)
% 63.61/63.67 [10]P1(x103,x102)+~E(x101,x102)+~P1(x103,x101)
% 63.61/63.67
% 63.61/63.67 %-------------------------------------------
% 63.61/63.68 cnf(30,plain,
% 63.61/63.68 (E(a1,f2(a1))),
% 63.61/63.68 inference(scs_inference,[],[11,2])).
% 63.61/63.68 cnf(31,plain,
% 63.61/63.68 (~E(f4(f4(a5,a6),f2(a7)),f4(a5,f2(f4(a6,f2(a7)))))),
% 63.61/63.68 inference(scs_inference,[],[27,11,2,4])).
% 63.61/63.68 cnf(32,plain,
% 63.61/63.68 (P1(x321,x321)),
% 63.61/63.68 inference(scs_inference,[],[27,11,17,2,4,29])).
% 63.61/63.68 cnf(34,plain,
% 63.61/63.68 (P1(f2(a1),a1)),
% 63.61/63.68 inference(scs_inference,[],[27,11,17,2,4,29,10])).
% 63.61/63.68 cnf(35,plain,
% 63.61/63.68 (P1(a1,f2(a1))),
% 63.61/63.68 inference(scs_inference,[],[27,11,17,2,4,29,10,9])).
% 63.61/63.68 cnf(36,plain,
% 63.61/63.68 (E(f3(f2(a1),f2(a1)),a1)),
% 63.61/63.68 inference(scs_inference,[],[27,11,17,2,4,29,10,9,3])).
% 63.61/63.68 cnf(38,plain,
% 63.61/63.68 (E(f3(x381,f2(a1)),f3(x381,a1))),
% 63.61/63.68 inference(scs_inference,[],[27,11,17,2,4,29,10,9,3,8])).
% 63.61/63.68 cnf(39,plain,
% 63.61/63.68 (E(f3(f2(a1),x391),f3(a1,x391))),
% 63.61/63.68 inference(scs_inference,[],[27,11,17,2,4,29,10,9,3,8,7])).
% 63.61/63.68 cnf(40,plain,
% 63.61/63.68 (E(f4(x401,f2(a1)),f4(x401,a1))),
% 63.61/63.68 inference(scs_inference,[],[27,11,17,2,4,29,10,9,3,8,7,6])).
% 63.61/63.68 cnf(41,plain,
% 63.61/63.68 (E(f4(f2(a1),x411),f4(a1,x411))),
% 63.61/63.68 inference(scs_inference,[],[27,11,17,2,4,29,10,9,3,8,7,6,5])).
% 63.61/63.68 cnf(42,plain,
% 63.61/63.68 (E(f3(f2(a1),a1),a1)),
% 63.61/63.68 inference(scs_inference,[],[27,11,17,2,4,29,10,9,3,8,7,6,5,28])).
% 63.61/63.68 cnf(44,plain,
% 63.61/63.68 (~E(f2(f4(a5,f2(f4(a6,f2(a7))))),f2(f4(f4(a5,a6),f2(a7))))),
% 63.61/63.68 inference(scs_inference,[],[27,2])).
% 63.61/63.68 cnf(45,plain,
% 63.61/63.68 (E(f2(f3(x451,a1)),f2(x451))),
% 63.61/63.68 inference(scs_inference,[],[27,14,2,4])).
% 63.61/63.68 cnf(46,plain,
% 63.61/63.68 (~E(f2(f4(f4(a5,a6),a7)),f2(f4(a5,f2(f4(a6,f2(a7))))))),
% 63.61/63.68 inference(scs_inference,[],[27,14,21,2,4,3])).
% 63.61/63.68 cnf(48,plain,
% 63.61/63.68 (P1(f3(x481,a1),x481)),
% 63.61/63.68 inference(scs_inference,[],[27,14,21,32,2,4,3,10])).
% 63.61/63.68 cnf(49,plain,
% 63.61/63.68 (P1(x491,x491)),
% 63.61/63.68 inference(rename_variables,[],[32])).
% 63.61/63.68 cnf(50,plain,
% 63.61/63.68 (P1(x501,f3(x501,a1))),
% 63.61/63.68 inference(scs_inference,[],[27,14,21,32,49,2,4,3,10,9])).
% 63.61/63.68 cnf(52,plain,
% 63.61/63.68 (E(x521,f4(x521,a8))),
% 63.61/63.68 inference(scs_inference,[],[15,2])).
% 63.61/63.68 cnf(53,plain,
% 63.61/63.68 (~E(f4(a5,f2(f4(a6,f2(a7)))),f4(f4(a5,a6),f2(a7)))),
% 63.61/63.68 inference(scs_inference,[],[15,44,2,4])).
% 63.61/63.68 cnf(54,plain,
% 63.61/63.68 (E(f4(f2(a1),a8),a1)),
% 63.61/63.68 inference(scs_inference,[],[11,15,44,2,4,3])).
% 63.61/63.68 cnf(56,plain,
% 63.61/63.68 (E(f2(f2(a1)),f2(a1))),
% 63.61/63.68 inference(scs_inference,[],[11,4])).
% 63.61/63.68 cnf(57,plain,
% 63.61/63.68 (~E(f2(f4(a5,f2(f4(a6,f2(a7))))),f2(f4(f4(a5,a6),a7)))),
% 63.61/63.68 inference(scs_inference,[],[11,46,4,2])).
% 63.61/63.68 cnf(58,plain,
% 63.61/63.68 (E(f4(a8,f4(x581,a1)),a1)),
% 63.61/63.68 inference(scs_inference,[],[11,16,12,46,4,2,3])).
% 63.61/63.68 cnf(60,plain,
% 63.61/63.68 (~E(f4(a5,f2(f4(a6,f2(a7)))),f4(f4(a5,a6),a7))),
% 63.61/63.68 inference(scs_inference,[],[57,4])).
% 63.61/63.68 cnf(61,plain,
% 63.61/63.68 (E(a1,f4(x611,a1))),
% 63.61/63.68 inference(scs_inference,[],[12,57,4,2])).
% 63.61/63.68 cnf(62,plain,
% 63.61/63.68 (~E(f4(a5,f4(a6,f2(a7))),f4(a5,f2(f4(a6,f2(a7)))))),
% 63.61/63.68 inference(scs_inference,[],[12,31,24,57,4,2,3])).
% 63.61/63.68 cnf(64,plain,
% 63.61/63.68 (E(f3(f4(x641,a1),x642),f3(a1,x642))),
% 63.61/63.68 inference(scs_inference,[],[12,31,24,57,4,2,3,7])).
% 63.61/63.68 cnf(65,plain,
% 63.61/63.68 (E(f4(x651,f4(x652,a1)),f4(x651,a1))),
% 63.61/63.68 inference(scs_inference,[],[12,31,24,57,4,2,3,7,6])).
% 63.61/63.68 cnf(66,plain,
% 63.61/63.68 (P1(f2(x661),a8)),
% 63.61/63.68 inference(scs_inference,[],[12,31,18,24,57,4,2,3,7,6,29])).
% 63.61/63.68 cnf(68,plain,
% 63.61/63.68 (E(f3(f3(x681,a1),x681),x681)),
% 63.61/63.68 inference(scs_inference,[],[12,31,18,24,48,57,4,2,3,7,6,29,28])).
% 63.61/63.68 cnf(70,plain,
% 63.61/63.68 (E(f3(x701,f4(x702,a1)),f3(x701,a1))),
% 63.61/63.68 inference(scs_inference,[],[12,31,18,24,48,57,4,2,3,7,6,29,28,8])).
% 63.61/63.68 cnf(72,plain,
% 63.61/63.68 (~E(f4(a6,f2(a7)),f2(f4(a6,f2(a7))))),
% 63.61/63.68 inference(scs_inference,[],[62,6])).
% 63.61/63.68 cnf(73,plain,
% 63.61/63.68 (P1(x731,f3(a1,x731))),
% 63.61/63.68 inference(scs_inference,[],[19,50,62,6,10])).
% 63.61/63.68 cnf(74,plain,
% 63.61/63.68 (P1(x741,f3(x741,a1))),
% 63.61/63.68 inference(rename_variables,[],[50])).
% 63.61/63.68 cnf(76,plain,
% 63.61/63.68 (P1(a1,f3(f4(x761,a1),a1))),
% 63.61/63.68 inference(scs_inference,[],[12,19,50,74,62,6,10,9])).
% 63.61/63.68 cnf(78,plain,
% 63.61/63.68 (E(f2(f4(x781,a1)),f2(a1))),
% 63.61/63.68 inference(scs_inference,[],[12,19,50,74,62,6,10,9,4])).
% 63.61/63.68 cnf(79,plain,
% 63.61/63.68 (~E(f4(a5,f2(f4(a6,f2(a7)))),f4(a5,f4(a6,f2(a7))))),
% 63.61/63.68 inference(scs_inference,[],[12,19,50,74,62,6,10,9,4,2])).
% 63.61/63.68 cnf(81,plain,
% 63.61/63.68 (E(f4(x811,f4(a1,x812)),f4(x811,a1))),
% 63.61/63.68 inference(scs_inference,[],[13,6])).
% 63.61/63.68 cnf(82,plain,
% 63.61/63.68 (~E(f4(f4(a5,a6),a7),f4(a5,f2(f4(a6,f2(a7)))))),
% 63.61/63.68 inference(scs_inference,[],[13,46,6,4])).
% 63.61/63.68 cnf(84,plain,
% 63.61/63.68 (E(f3(f4(a1,x841),f4(a1,x842)),a1)),
% 63.61/63.68 inference(scs_inference,[],[13,25,46,6,4,2,3])).
% 63.61/63.68 cnf(85,plain,
% 63.61/63.68 (E(f4(a1,x851),a1)),
% 63.61/63.68 inference(rename_variables,[],[13])).
% 63.61/63.68 cnf(87,plain,
% 63.61/63.68 (P1(f4(a1,x871),a1)),
% 63.61/63.68 inference(scs_inference,[],[13,85,25,32,46,6,4,2,3,10])).
% 63.61/63.68 cnf(88,plain,
% 63.61/63.68 (P1(x881,x881)),
% 63.61/63.68 inference(rename_variables,[],[32])).
% 63.61/63.68 cnf(89,plain,
% 63.61/63.68 (P1(a1,f4(a1,x891))),
% 63.61/63.68 inference(scs_inference,[],[13,85,25,32,88,46,6,4,2,3,10,9])).
% 63.61/63.68 cnf(91,plain,
% 63.61/63.68 (~E(f2(f4(a6,f2(a7))),f4(a6,f2(a7)))),
% 63.61/63.68 inference(scs_inference,[],[79,6])).
% 63.61/63.68 cnf(92,plain,
% 63.61/63.68 (E(f2(f4(a1,x921)),f2(a1))),
% 63.61/63.68 inference(scs_inference,[],[13,79,6,4])).
% 63.61/63.68 cnf(93,plain,
% 63.61/63.68 (~E(f4(f4(a5,f2(f4(a6,f2(a7)))),a8),f4(f4(a5,a6),f2(a7)))),
% 63.61/63.68 inference(scs_inference,[],[13,53,52,79,6,4,3])).
% 63.61/63.68 cnf(95,plain,
% 63.61/63.68 (~E(f4(f4(a5,a6),f2(a7)),f4(f4(a5,f2(f4(a6,f2(a7)))),a8))),
% 63.61/63.68 inference(scs_inference,[],[13,53,52,79,6,4,3,2])).
% 63.61/63.68 cnf(96,plain,
% 63.61/63.68 (E(f4(x961,f3(x962,a1)),f4(x961,x962))),
% 63.61/63.68 inference(scs_inference,[],[14,6])).
% 63.61/63.68 cnf(97,plain,
% 63.61/63.68 (E(x971,f3(x971,a1))),
% 63.61/63.68 inference(scs_inference,[],[14,6,2])).
% 63.61/63.68 cnf(98,plain,
% 63.61/63.68 (E(f3(f3(f3(x981,x982),x983),a1),f3(x981,f3(x982,x983)))),
% 63.61/63.68 inference(scs_inference,[],[14,23,6,2,3])).
% 63.61/63.68 cnf(99,plain,
% 63.61/63.68 (E(f3(x991,a1),x991)),
% 63.61/63.68 inference(rename_variables,[],[14])).
% 63.61/63.68 cnf(100,plain,
% 63.61/63.68 (P1(x1001,f4(f2(x1001),x1001))),
% 63.61/63.68 inference(scs_inference,[],[14,23,22,6,2,3,29])).
% 63.61/63.68 cnf(104,plain,
% 63.61/63.68 (E(f3(x1041,f3(x1042,a1)),f3(x1041,x1042))),
% 63.61/63.69 inference(scs_inference,[],[14,99,23,22,73,6,2,3,29,28,8])).
% 63.61/63.69 cnf(105,plain,
% 63.61/63.69 (E(f3(f3(x1051,a1),x1052),f3(x1051,x1052))),
% 63.61/63.69 inference(scs_inference,[],[14,99,23,22,73,6,2,3,29,28,8,7])).
% 63.61/63.69 cnf(106,plain,
% 63.61/63.69 (E(f4(f3(x1061,a1),x1062),f4(x1061,x1062))),
% 63.61/63.69 inference(scs_inference,[],[14,99,23,22,73,6,2,3,29,28,8,7,5])).
% 63.61/63.69 cnf(107,plain,
% 63.61/63.69 (E(f2(f3(f3(x1071,x1072),x1073)),f2(f3(x1071,f3(x1072,x1073))))),
% 63.61/63.69 inference(scs_inference,[],[14,99,23,22,73,6,2,3,29,28,8,7,5,4])).
% 63.61/63.69 cnf(108,plain,
% 63.61/63.69 (~E(f4(f4(a5,a6),f2(a7)),f3(f4(a5,f2(f4(a6,f2(a7)))),a1))),
% 63.61/63.69 inference(scs_inference,[],[14,31,3])).
% 63.61/63.69 cnf(110,plain,
% 63.61/63.69 (~E(f3(f4(a5,f2(f4(a6,f2(a7)))),a1),f4(f4(a5,a6),f2(a7)))),
% 63.61/63.69 inference(scs_inference,[],[14,31,3,2])).
% 63.61/63.69 cnf(111,plain,
% 63.61/63.69 (P1(a1,f3(f2(a1),a1))),
% 63.61/63.69 inference(scs_inference,[],[35,97,10])).
% 63.61/63.69 cnf(112,plain,
% 63.61/63.69 (E(x1121,f3(x1121,a1))),
% 63.61/63.69 inference(rename_variables,[],[97])).
% 63.61/63.69 cnf(113,plain,
% 63.61/63.69 (P1(f3(f2(a1),a1),a1)),
% 63.61/63.69 inference(scs_inference,[],[34,35,97,112,10,9])).
% 63.61/63.69 cnf(114,plain,
% 63.61/63.69 (E(x1141,f3(x1141,a1))),
% 63.61/63.69 inference(rename_variables,[],[97])).
% 63.61/63.69 cnf(115,plain,
% 63.61/63.69 (E(f4(f3(x1151,x1152),x1153),f3(f4(x1151,x1153),f4(x1152,x1153)))),
% 63.61/63.69 inference(scs_inference,[],[34,35,26,97,112,10,9,2])).
% 63.61/63.69 cnf(116,plain,
% 63.61/63.69 (~E(f3(f4(a5,f2(f4(a6,f2(a7)))),a1),f4(f4(a5,a6),a7))),
% 63.61/63.69 inference(scs_inference,[],[34,35,26,60,97,112,114,10,9,2,3])).
% 63.61/63.69 cnf(118,plain,
% 63.61/63.69 (~E(f4(f4(a5,a6),a7),f3(f4(a5,f2(f4(a6,f2(a7)))),a1))),
% 63.61/63.69 inference(scs_inference,[],[116,2])).
% 63.61/63.69 cnf(119,plain,
% 63.61/63.69 (E(f4(f2(f3(x1191,x1192)),a8),f3(f2(x1191),f2(x1192)))),
% 63.61/63.69 inference(scs_inference,[],[15,20,116,2,3])).
% 63.61/63.69 cnf(120,plain,
% 63.61/63.69 (E(f4(x1201,a8),x1201)),
% 63.61/63.69 inference(rename_variables,[],[15])).
% 63.61/63.69 cnf(121,plain,
% 63.61/63.69 (P1(x1211,f4(x1211,a8))),
% 63.61/63.69 inference(scs_inference,[],[15,120,20,32,116,2,3,9])).
% 63.61/63.69 cnf(122,plain,
% 63.61/63.69 (P1(x1221,x1221)),
% 63.61/63.69 inference(rename_variables,[],[32])).
% 63.61/63.69 cnf(123,plain,
% 63.61/63.69 (P1(f4(x1231,a8),x1231)),
% 63.61/63.69 inference(scs_inference,[],[15,120,20,32,122,116,2,3,9,10])).
% 63.61/63.69 cnf(125,plain,
% 63.61/63.69 (E(x1251,f4(a8,x1251))),
% 63.61/63.69 inference(scs_inference,[],[16,2])).
% 63.61/63.69 cnf(126,plain,
% 63.61/63.69 (~E(f4(f4(a5,a6),f2(a7)),f4(a8,f4(a5,f2(f4(a6,f2(a7))))))),
% 63.61/63.69 inference(scs_inference,[],[16,31,2,3])).
% 63.61/63.69 cnf(127,plain,
% 63.61/63.69 (E(f4(a8,x1271),x1271)),
% 63.61/63.69 inference(rename_variables,[],[16])).
% 63.61/63.69 cnf(128,plain,
% 63.61/63.69 (E(f3(a1,f2(a1)),f2(a1))),
% 63.61/63.69 inference(scs_inference,[],[16,35,31,2,3,28])).
% 63.61/63.69 cnf(130,plain,
% 63.61/63.69 (E(f3(x1301,f4(a8,x1302)),f3(x1301,x1302))),
% 63.61/63.69 inference(scs_inference,[],[16,127,35,31,2,3,28,8])).
% 63.61/63.69 cnf(131,plain,
% 63.61/63.69 (E(f4(f4(a8,x1311),x1312),f4(x1311,x1312))),
% 63.61/63.69 inference(scs_inference,[],[16,127,35,31,2,3,28,8,5])).
% 63.61/63.69 cnf(133,plain,
% 63.61/63.69 (E(f4(x1331,f4(a8,x1332)),f4(x1331,x1332))),
% 63.61/63.69 inference(scs_inference,[],[16,127,35,31,2,3,28,8,5,7,6])).
% 63.61/63.69 cnf(134,plain,
% 63.61/63.69 (E(f2(f4(a8,x1341)),f2(x1341))),
% 63.61/63.69 inference(scs_inference,[],[16,127,35,31,2,3,28,8,5,7,6,4])).
% 63.61/63.69 cnf(135,plain,
% 63.61/63.69 (~E(f4(a8,f4(a5,f2(f4(a6,f2(a7))))),f4(f4(a5,a6),f2(a7)))),
% 63.61/63.69 inference(scs_inference,[],[126,2])).
% 63.61/63.69 cnf(136,plain,
% 63.61/63.69 (~E(f4(a8,f4(a6,f2(a7))),f2(f4(a6,f2(a7))))),
% 63.61/63.69 inference(scs_inference,[],[72,125,126,2,3])).
% 63.61/63.69 cnf(138,plain,
% 63.61/63.69 (E(x1381,f3(x1381,x1381))),
% 63.61/63.69 inference(scs_inference,[],[17,2])).
% 63.61/63.69 cnf(141,plain,
% 63.61/63.69 (P1(f3(f2(a1),f2(a1)),a1)),
% 63.61/63.69 inference(scs_inference,[],[34,138,9])).
% 63.61/63.69 cnf(142,plain,
% 63.61/63.69 (E(x1421,f3(x1421,x1421))),
% 63.61/63.69 inference(rename_variables,[],[138])).
% 63.61/63.69 cnf(145,plain,
% 63.61/63.69 (~E(f2(f4(a6,f2(a7))),f4(a8,f4(a6,f2(a7))))),
% 63.61/63.69 inference(scs_inference,[],[34,35,138,142,136,9,10,2])).
% 63.61/63.69 cnf(146,plain,
% 63.61/63.69 (E(f3(f3(f2(a1),f2(a1)),f3(f2(a1),f2(a1))),a1)),
% 63.61/63.69 inference(scs_inference,[],[17,36,34,35,138,142,136,9,10,2,3])).
% 63.61/63.69 cnf(148,plain,
% 63.61/63.69 (E(f4(a8,x1481),f4(f3(f2(x1482),a8),x1481))),
% 63.61/63.69 inference(scs_inference,[],[18,2,5])).
% 63.61/63.69 cnf(149,plain,
% 63.61/63.69 (E(f4(f3(f2(x1491),a8),x1492),f4(a8,x1492))),
% 63.61/63.69 inference(scs_inference,[],[18,5])).
% 63.61/63.69 cnf(150,plain,
% 63.61/63.69 (E(a8,f3(f2(x1501),a8))),
% 63.61/63.69 inference(scs_inference,[],[18,5,2])).
% 63.61/63.69 cnf(151,plain,
% 63.61/63.69 (~E(f2(f4(a6,a7)),f4(a6,f2(a7)))),
% 63.61/63.69 inference(scs_inference,[],[18,21,91,5,2,3])).
% 63.61/63.69 cnf(153,plain,
% 63.61/63.69 (E(f3(x1531,f4(x1531,a8)),f4(x1531,a8))),
% 63.61/63.69 inference(scs_inference,[],[18,21,91,121,5,2,3,28])).
% 63.61/63.69 cnf(155,plain,
% 63.61/63.69 (E(f3(x1551,f3(f2(x1552),a8)),f3(x1551,a8))),
% 63.61/63.69 inference(scs_inference,[],[18,21,91,121,5,2,3,28,8])).
% 63.61/63.69 cnf(156,plain,
% 63.61/63.69 (E(f3(f3(f2(x1561),a8),x1562),f3(a8,x1562))),
% 63.61/63.69 inference(scs_inference,[],[18,21,91,121,5,2,3,28,8,7])).
% 63.61/63.69 cnf(157,plain,
% 63.61/63.69 (E(f4(x1571,f3(f2(x1572),a8)),f4(x1571,a8))),
% 63.61/63.69 inference(scs_inference,[],[18,21,91,121,5,2,3,28,8,7,6])).
% 63.61/63.69 cnf(159,plain,
% 63.61/63.69 (P1(x1591,x1591)),
% 63.61/63.69 inference(rename_variables,[],[32])).
% 63.61/63.69 cnf(160,plain,
% 63.61/63.69 (P1(f3(f2(x1601),a8),a8)),
% 63.61/63.69 inference(scs_inference,[],[18,21,32,159,91,121,5,2,3,28,8,7,6,9,10])).
% 63.61/63.69 cnf(163,plain,
% 63.61/63.69 (P1(f2(x1631),f3(f2(x1631),a8))),
% 63.61/63.69 inference(scs_inference,[],[155,29])).
% 63.61/63.69 cnf(166,plain,
% 63.61/63.69 (~E(f4(a6,f2(a7)),f2(f4(a6,a7)))),
% 63.61/63.69 inference(scs_inference,[],[151,155,29,2])).
% 63.61/63.69 cnf(168,plain,
% 63.61/63.69 (E(f3(a1,x1681),f3(f2(a1),x1681))),
% 63.61/63.69 inference(scs_inference,[],[39,2])).
% 63.61/63.69 cnf(169,plain,
% 63.61/63.69 (~E(f4(f4(a5,a6),f2(a7)),f3(a1,f4(a5,f2(f4(a6,f2(a7))))))),
% 63.61/63.69 inference(scs_inference,[],[19,39,108,2,3])).
% 63.61/63.69 cnf(171,plain,
% 63.61/63.69 (~E(f3(a1,f4(a5,f2(f4(a6,f2(a7))))),f4(f4(a5,a6),f2(a7)))),
% 63.61/63.69 inference(scs_inference,[],[169,2])).
% 63.61/63.69 cnf(172,plain,
% 63.61/63.69 (~E(f4(a5,f4(a6,a7)),f4(a5,f2(f4(a6,f2(a7)))))),
% 63.61/63.69 inference(scs_inference,[],[24,82,169,2,3])).
% 63.61/63.69 cnf(174,plain,
% 63.61/63.69 (~E(f4(a6,a7),f2(f4(a6,f2(a7))))),
% 63.61/63.69 inference(scs_inference,[],[24,82,169,2,3,6])).
% 63.61/63.69 cnf(175,plain,
% 63.61/63.69 (P1(f3(f2(x1751),f2(x1752)),f2(f3(x1751,x1752)))),
% 63.61/63.69 inference(scs_inference,[],[20,32,9])).
% 63.61/63.69 cnf(176,plain,
% 63.61/63.69 (P1(x1761,x1761)),
% 63.61/63.69 inference(rename_variables,[],[32])).
% 63.61/63.69 cnf(177,plain,
% 63.61/63.69 (P1(f2(f3(x1771,x1772)),f3(f2(x1771),f2(x1772)))),
% 63.61/63.69 inference(scs_inference,[],[20,32,176,9,10])).
% 63.61/63.69 cnf(179,plain,
% 63.61/63.69 (E(f4(x1791,f2(f3(x1792,x1793))),f4(x1791,f3(f2(x1792),f2(x1793))))),
% 63.61/63.69 inference(scs_inference,[],[20,32,176,9,10,6])).
% 63.61/63.69 cnf(180,plain,
% 63.61/63.69 (E(f3(f2(x1801),f2(x1802)),f2(f3(x1801,x1802)))),
% 63.61/63.69 inference(scs_inference,[],[20,32,176,9,10,6,2])).
% 63.61/63.69 cnf(181,plain,
% 63.61/63.69 (E(f2(f3(x1811,a1)),f3(f2(x1811),a1))),
% 63.61/63.69 inference(scs_inference,[],[20,38,32,176,9,10,6,2,3])).
% 63.61/63.69 cnf(182,plain,
% 63.61/63.69 (E(f2(f3(x1821,x1822)),f3(f2(x1821),f2(x1822)))),
% 63.61/63.69 inference(rename_variables,[],[20])).
% 63.61/63.69 cnf(184,plain,
% 63.61/63.69 (E(f3(f4(x1841,a8),x1841),x1841)),
% 63.61/63.69 inference(scs_inference,[],[20,38,32,176,123,9,10,6,2,3,28])).
% 63.61/63.69 cnf(186,plain,
% 63.61/63.69 (E(f3(f2(f3(x1861,x1862)),x1863),f3(f3(f2(x1861),f2(x1862)),x1863))),
% 63.61/63.69 inference(scs_inference,[],[20,182,38,32,176,123,9,10,6,2,3,28,7])).
% 63.61/63.69 cnf(187,plain,
% 63.61/63.69 (E(f4(f2(f3(x1871,x1872)),x1873),f4(f3(f2(x1871),f2(x1872)),x1873))),
% 63.61/63.69 inference(scs_inference,[],[20,182,38,32,176,123,9,10,6,2,3,28,7,5])).
% 63.61/63.69 cnf(188,plain,
% 63.61/63.69 (E(f3(x1881,f2(f3(x1882,x1883))),f3(x1881,f3(f2(x1882),f2(x1883))))),
% 63.61/63.69 inference(scs_inference,[],[20,182,38,32,176,123,9,10,6,2,3,28,7,5,8])).
% 63.61/63.69 cnf(189,plain,
% 63.61/63.69 (E(f2(f2(f3(x1891,x1892))),f2(f3(f2(x1891),f2(x1892))))),
% 63.61/63.69 inference(scs_inference,[],[20,182,38,32,176,123,9,10,6,2,3,28,7,5,8,4])).
% 63.61/63.69 cnf(190,plain,
% 63.61/63.69 (~E(f2(f4(a6,f2(a7))),f4(a6,a7))),
% 63.61/63.69 inference(scs_inference,[],[174,2])).
% 63.61/63.69 cnf(191,plain,
% 63.61/63.69 (E(f2(f3(f3(x1911,x1912),x1913)),f3(f2(x1911),f2(f3(x1912,x1913))))),
% 63.61/63.69 inference(scs_inference,[],[20,107,174,2,3])).
% 63.61/63.69 cnf(193,plain,
% 63.61/63.69 (P1(f4(x1931,a1),f4(x1931,f2(a1)))),
% 63.61/63.69 inference(scs_inference,[],[20,40,32,107,174,2,3,9])).
% 63.61/63.69 cnf(194,plain,
% 63.61/63.69 (P1(x1941,x1941)),
% 63.61/63.69 inference(rename_variables,[],[32])).
% 63.61/63.69 cnf(195,plain,
% 63.61/63.69 (P1(f4(x1951,f2(a1)),f4(x1951,a1))),
% 63.61/63.69 inference(scs_inference,[],[20,40,32,194,107,174,2,3,9,10])).
% 63.61/63.69 cnf(197,plain,
% 63.61/63.69 (E(f4(x1971,f2(f4(x1972,f2(x1973)))),f4(x1971,f2(f4(x1972,x1973))))),
% 63.61/63.69 inference(scs_inference,[],[21,6])).
% 63.61/63.69 cnf(198,plain,
% 63.61/63.69 (E(f2(f4(x1981,x1982)),f2(f4(x1981,f2(x1982))))),
% 63.61/63.69 inference(scs_inference,[],[21,6,2])).
% 63.61/63.69 cnf(199,plain,
% 63.61/63.69 (~E(f4(a5,f4(a6,f2(a7))),f4(f4(a5,f2(f4(a6,f2(a7)))),a8))),
% 63.61/63.69 inference(scs_inference,[],[21,24,95,6,2,3])).
% 63.61/63.69 cnf(202,plain,
% 63.61/63.69 (E(f4(f2(a1),f2(a1)),f4(a1,a1))),
% 63.61/63.69 inference(scs_inference,[],[41,40,199,2,3])).
% 63.61/63.69 cnf(205,plain,
% 63.61/63.69 (E(f4(f2(x2051),x2051),f3(x2051,f4(f2(x2051),x2051)))),
% 63.61/63.69 inference(scs_inference,[],[22,2])).
% 63.61/63.69 cnf(206,plain,
% 63.61/63.69 (E(f3(f2(a1),f4(f2(a1),a1)),f4(f2(a1),a1))),
% 63.61/63.69 inference(scs_inference,[],[22,39,2,3])).
% 63.61/63.69 cnf(207,plain,
% 63.61/63.69 (E(f3(x2071,f4(f2(x2071),x2071)),f4(f2(x2071),x2071))),
% 63.61/63.69 inference(rename_variables,[],[22])).
% 63.61/63.69 cnf(209,plain,
% 63.61/63.69 (E(f3(f3(f2(x2091),f2(x2092)),f2(f3(x2091,x2092))),f2(f3(x2091,x2092)))),
% 63.61/63.69 inference(scs_inference,[],[22,39,175,2,3,28])).
% 63.61/63.69 cnf(211,plain,
% 63.61/63.69 (E(f4(f3(x2111,f4(f2(x2111),x2111)),x2112),f4(f4(f2(x2111),x2111),x2112))),
% 63.61/63.69 inference(scs_inference,[],[22,207,39,175,2,3,28,5])).
% 63.61/63.69 cnf(212,plain,
% 63.61/63.69 (E(f3(x2121,f3(x2122,f4(f2(x2122),x2122))),f3(x2121,f4(f2(x2122),x2122)))),
% 63.61/63.69 inference(scs_inference,[],[22,207,39,175,2,3,28,5,8])).
% 63.61/63.69 cnf(213,plain,
% 63.61/63.69 (E(f3(f3(x2131,f4(f2(x2131),x2131)),x2132),f3(f4(f2(x2131),x2131),x2132))),
% 63.61/63.69 inference(scs_inference,[],[22,207,39,175,2,3,28,5,8,7])).
% 63.61/63.69 cnf(214,plain,
% 63.61/63.69 (E(f2(f3(x2141,f4(f2(x2141),x2141))),f2(f4(f2(x2141),x2141)))),
% 63.61/63.69 inference(scs_inference,[],[22,207,39,175,2,3,28,5,8,7,4])).
% 63.61/63.69 cnf(215,plain,
% 63.61/63.69 (P1(f2(a1),f4(f2(a1),a1))),
% 63.61/63.69 inference(scs_inference,[],[22,207,39,175,2,3,28,5,8,7,4,29])).
% 63.61/63.69 cnf(217,plain,
% 63.61/63.69 (P1(f4(f2(x2171),x2171),f3(x2171,f4(f2(x2171),x2171)))),
% 63.61/63.69 inference(scs_inference,[],[22,32,9])).
% 63.61/63.69 cnf(218,plain,
% 63.61/63.69 (P1(x2181,x2181)),
% 63.61/63.69 inference(rename_variables,[],[32])).
% 63.61/63.69 cnf(219,plain,
% 63.61/63.69 (P1(f3(x2191,f4(f2(x2191),x2191)),f4(f2(x2191),x2191))),
% 63.61/63.69 inference(scs_inference,[],[22,32,218,9,10])).
% 63.61/63.69 cnf(221,plain,
% 63.61/63.69 (~E(f4(a5,f2(f4(a6,f2(a7)))),f4(a5,f4(a6,a7)))),
% 63.61/63.69 inference(scs_inference,[],[22,32,218,172,9,10,2])).
% 63.61/63.69 cnf(222,plain,
% 63.61/63.69 (~E(f4(a5,f4(f2(f4(a6,f2(a7))),a8)),f4(f4(a5,a6),f2(a7)))),
% 63.61/63.69 inference(scs_inference,[],[22,24,32,218,93,172,9,10,2,3])).
% 63.61/63.69 cnf(224,plain,
% 63.61/63.69 (E(f3(x2241,f3(x2242,x2243)),f3(f3(x2241,x2242),x2243))),
% 63.61/63.69 inference(scs_inference,[],[23,2])).
% 63.61/63.69 cnf(226,plain,
% 63.61/63.69 (E(f3(f3(x2261,x2262),x2263),f3(x2261,f3(x2262,x2263)))),
% 63.61/63.69 inference(rename_variables,[],[23])).
% 63.61/63.69 cnf(228,plain,
% 63.61/63.69 (P1(f3(x2281,f3(x2282,x2283)),f3(f3(x2281,x2282),x2283))),
% 63.61/63.69 inference(scs_inference,[],[23,226,39,32,2,3,9])).
% 63.61/63.69 cnf(229,plain,
% 63.61/63.69 (P1(x2291,x2291)),
% 63.61/63.69 inference(rename_variables,[],[32])).
% 63.61/63.69 cnf(230,plain,
% 63.61/63.69 (P1(f3(f3(x2301,x2302),x2303),f3(x2301,f3(x2302,x2303)))),
% 63.61/63.69 inference(scs_inference,[],[23,226,39,32,229,2,3,9,10])).
% 63.61/63.69 cnf(232,plain,
% 63.61/63.69 (E(f4(x2321,f3(f3(x2322,x2323),x2324)),f4(x2321,f3(x2322,f3(x2323,x2324))))),
% 63.61/63.69 inference(scs_inference,[],[23,226,39,32,229,2,3,9,10,6])).
% 63.61/63.69 cnf(234,plain,
% 63.61/63.69 (E(f3(f3(x2341,x2342),f2(a1)),f3(x2341,f3(x2342,a1)))),
% 63.61/63.69 inference(scs_inference,[],[23,38,222,2,3])).
% 63.61/63.69 cnf(237,plain,
% 63.61/63.69 (E(f4(x2371,f4(x2372,x2373)),f4(f4(x2371,x2372),x2373))),
% 63.61/63.69 inference(scs_inference,[],[24,2])).
% 63.61/63.69 cnf(238,plain,
% 63.61/63.69 (~E(f2(f4(a6,f2(f2(a7)))),f4(a6,a7))),
% 63.61/63.69 inference(scs_inference,[],[24,198,190,2,3])).
% 63.61/63.69 cnf(240,plain,
% 63.61/63.69 (P1(x2401,f3(x2401,f4(f2(x2401),x2401)))),
% 63.61/63.69 inference(scs_inference,[],[24,212,198,190,2,3,29])).
% 63.61/63.69 cnf(243,plain,
% 63.61/63.69 (E(f3(f4(f2(x2431),x2431),f3(x2431,f4(f2(x2431),x2431))),f3(x2431,f4(f2(x2431),x2431)))),
% 63.61/63.69 inference(scs_inference,[],[24,217,212,198,190,2,3,29,28])).
% 63.61/63.69 cnf(245,plain,
% 63.61/63.69 (E(f3(f4(f4(x2451,x2452),x2453),x2454),f3(f4(x2451,f4(x2452,x2453)),x2454))),
% 63.61/63.69 inference(scs_inference,[],[24,217,212,198,190,2,3,29,28,7])).
% 63.61/63.69 cnf(246,plain,
% 63.61/63.69 (E(f4(f4(f4(x2461,x2462),x2463),x2464),f4(f4(x2461,f4(x2462,x2463)),x2464))),
% 63.61/63.69 inference(scs_inference,[],[24,217,212,198,190,2,3,29,28,7,5])).
% 63.61/63.69 cnf(247,plain,
% 63.61/63.69 (E(f3(x2471,f4(f4(x2472,x2473),x2474)),f3(x2471,f4(x2472,f4(x2473,x2474))))),
% 63.61/63.69 inference(scs_inference,[],[24,217,212,198,190,2,3,29,28,7,5,8])).
% 63.61/63.69 cnf(248,plain,
% 63.61/63.69 (E(f2(f4(f4(x2481,x2482),x2483)),f2(f4(x2481,f4(x2482,x2483))))),
% 63.61/63.69 inference(scs_inference,[],[24,217,212,198,190,2,3,29,28,7,5,8,4])).
% 63.61/63.69 cnf(249,plain,
% 63.61/63.69 (~E(f4(a6,a7),f2(f4(a6,f2(f2(a7)))))),
% 63.61/63.69 inference(scs_inference,[],[238,2])).
% 63.61/63.69 cnf(250,plain,
% 63.61/63.69 (E(f4(f4(f2(a1),x2501),x2502),f4(a1,f4(x2501,x2502)))),
% 63.61/63.69 inference(scs_inference,[],[24,41,238,2,3])).
% 63.61/63.69 cnf(253,plain,
% 63.61/63.69 (P1(f4(x2531,f3(x2532,x2533)),f3(f4(x2531,x2532),f4(x2531,x2533)))),
% 63.61/63.69 inference(scs_inference,[],[25,32,9])).
% 63.61/63.69 cnf(257,plain,
% 63.61/63.69 (E(f4(x2571,f3(x2572,x2573)),f3(f4(x2571,x2572),f4(x2571,x2573)))),
% 63.61/63.69 inference(scs_inference,[],[25,48,32,9,10,2])).
% 63.61/63.69 cnf(258,plain,
% 63.61/63.69 (E(f3(f3(x2581,f4(f2(x2581),x2581)),f4(f2(x2581),x2582)),f4(f2(x2581),f3(x2581,x2582)))),
% 63.61/63.69 inference(scs_inference,[],[25,48,32,213,9,10,2,3])).
% 63.61/63.69 cnf(263,plain,
% 63.61/63.69 (~E(f2(f4(a5,f4(a6,a7))),f2(f4(a5,f2(f4(a6,f2(a7))))))),
% 63.61/63.69 inference(scs_inference,[],[46,248,3])).
% 63.61/63.69 cnf(265,plain,
% 63.61/63.69 (P1(f3(f3(f2(a1),a1),a1),a1)),
% 63.61/63.69 inference(scs_inference,[],[42,46,48,248,3,10])).
% 63.61/63.69 cnf(267,plain,
% 63.61/63.69 (P1(f2(x2671),f2(f3(x2671,a1)))),
% 63.61/63.69 inference(scs_inference,[],[42,45,46,48,32,248,3,10,9])).
% 63.61/63.69 cnf(272,plain,
% 63.61/63.69 (E(f3(f4(x2721,x2722),f4(x2723,x2722)),f4(f3(x2721,x2723),x2722))),
% 63.61/63.69 inference(rename_variables,[],[26])).
% 63.61/63.69 cnf(279,plain,
% 63.61/63.69 (E(f2(f3(f4(x2791,x2792),f4(x2793,x2792))),f2(f4(f3(x2791,x2793),x2792)))),
% 63.61/63.69 inference(scs_inference,[],[26,272,42,50,40,2,3,28,5,7,8,4])).
% 63.61/63.69 cnf(287,plain,
% 63.61/63.69 (E(x2871,f4(x2871,a8))),
% 63.61/63.69 inference(rename_variables,[],[52])).
% 63.61/63.69 cnf(289,plain,
% 63.61/63.69 (E(x2891,f4(x2891,a8))),
% 63.61/63.69 inference(rename_variables,[],[52])).
% 63.61/63.69 cnf(290,plain,
% 63.61/63.69 (E(f2(x2901),f2(f3(x2901,a1)))),
% 63.61/63.69 inference(scs_inference,[],[45,34,52,287,35,10,9,2])).
% 63.61/63.69 cnf(291,plain,
% 63.61/63.69 (E(a1,f4(f2(a1),a8))),
% 63.61/63.69 inference(scs_inference,[],[30,45,34,52,287,289,35,10,9,2,3])).
% 63.61/63.69 cnf(296,plain,
% 63.61/63.69 (E(f3(f3(x2961,f4(f2(x2961),x2961)),f4(f2(x2961),x2961)),f4(f2(x2961),x2961))),
% 63.61/63.69 inference(scs_inference,[],[41,52,219,3,28])).
% 63.61/63.69 cnf(299,plain,
% 63.61/63.69 (E(f3(x2991,f3(f2(a1),a1)),f3(x2991,a1))),
% 63.61/63.69 inference(scs_inference,[],[42,41,52,219,3,28,5,8])).
% 63.61/63.69 cnf(304,plain,
% 63.61/63.69 (P1(a1,f3(f3(f2(a1),a1),a1))),
% 63.61/63.69 inference(scs_inference,[],[42,45,50,41,48,52,219,3,28,5,8,7,4,10,9])).
% 63.61/63.69 cnf(306,plain,
% 63.61/63.69 (E(a1,f3(f2(a1),f2(a1)))),
% 63.61/63.69 inference(scs_inference,[],[36,2])).
% 63.61/63.70 cnf(307,plain,
% 63.61/63.70 (~E(f4(f4(a5,f2(f4(a6,f2(a7)))),a8),f4(a5,f4(a6,a7)))),
% 63.61/63.70 inference(scs_inference,[],[36,52,221,2,3])).
% 63.61/63.70 cnf(309,plain,
% 63.61/63.70 (~E(f4(a5,f4(a6,a7)),f4(f4(a5,f2(f4(a6,f2(a7)))),a8))),
% 63.61/63.70 inference(scs_inference,[],[307,2])).
% 63.61/63.70 cnf(310,plain,
% 63.61/63.70 (E(f2(f3(x3101,a1)),f4(f2(x3101),a8))),
% 63.61/63.70 inference(scs_inference,[],[45,52,307,2,3])).
% 63.61/63.70 cnf(312,plain,
% 63.61/63.70 (E(f4(x3121,f4(f2(a1),a8)),f4(x3121,a1))),
% 63.61/63.70 inference(scs_inference,[],[54,45,52,307,2,3,6])).
% 63.61/63.70 cnf(313,plain,
% 63.61/63.70 (E(f3(x3131,a1),f3(x3131,f2(a1)))),
% 63.61/63.70 inference(scs_inference,[],[38,2])).
% 63.61/63.70 cnf(314,plain,
% 63.61/63.70 (~E(f4(f4(a5,a6),a7),f3(f4(a5,f2(f4(a6,f2(a7)))),f2(a1)))),
% 63.61/63.70 inference(scs_inference,[],[38,118,2,3])).
% 63.61/63.70 cnf(319,plain,
% 63.61/63.70 (E(x3191,f4(x3191,a8))),
% 63.61/63.70 inference(rename_variables,[],[52])).
% 63.61/63.70 cnf(320,plain,
% 63.61/63.70 (~E(f3(f4(a5,f2(f4(a6,f2(a7)))),f2(a1)),f4(f4(a5,a6),a7))),
% 63.61/63.70 inference(scs_inference,[],[34,56,50,52,314,9,10,2])).
% 63.61/63.70 cnf(323,plain,
% 63.61/63.70 (E(f3(f4(x3231,f3(x3232,x3233)),f3(f4(x3231,x3232),f4(x3231,x3233))),f3(f4(x3231,x3232),f4(x3231,x3233)))),
% 63.61/63.70 inference(scs_inference,[],[34,56,50,52,319,253,249,314,9,10,2,3,28])).
% 63.61/63.70 cnf(375,plain,
% 63.61/63.70 (E(f3(f2(a1),x3751),f3(a1,x3751))),
% 63.61/63.70 inference(rename_variables,[],[39])).
% 63.61/63.70 cnf(381,plain,
% 63.61/63.70 (~E(f3(f2(a1),f4(a5,f2(f4(a6,f2(a7))))),f4(f4(a5,a6),f2(a7)))),
% 63.61/63.70 inference(scs_inference,[],[39,375,228,169,7,3,28,5,8,4,2])).
% 63.61/63.70 cnf(382,plain,
% 63.61/63.70 (E(f4(f2(x3821),x3821),f3(f3(x3821,f4(f2(x3821),x3821)),f4(f2(x3821),x3821)))),
% 63.61/63.70 inference(scs_inference,[],[296,2])).
% 63.61/63.70 cnf(396,plain,
% 63.61/63.70 (P1(f3(a1,a1),f4(x3961,a1))),
% 63.61/63.70 inference(scs_inference,[],[61,54,50,48,214,2,3,9,10])).
% 63.61/63.70 cnf(400,plain,
% 63.61/63.70 (E(f3(f3(f3(x4001,x4002),x4003),f3(x4001,f3(x4002,x4003))),f3(x4001,f3(x4002,x4003)))),
% 63.61/63.70 inference(scs_inference,[],[62,52,230,3,28])).
% 63.61/63.70 cnf(427,plain,
% 63.61/63.70 (E(f4(f4(x4271,f4(x4272,a1)),x4273),f4(f4(x4271,a1),x4273))),
% 63.61/63.70 inference(scs_inference,[],[65,52,267,2,3,28,7,5])).
% 63.61/63.70 cnf(430,plain,
% 63.61/63.70 (P1(f4(x4301,a1),f3(f4(x4301,f4(x4302,a1)),a1))),
% 63.61/63.70 inference(scs_inference,[],[65,50,52,267,2,3,28,7,5,8,4,9])).
% 63.61/63.70 cnf(432,plain,
% 63.61/63.70 (P1(f3(f4(x4321,f4(x4322,a1)),a1),f4(x4321,a1))),
% 63.61/63.70 inference(scs_inference,[],[65,50,48,52,267,2,3,28,7,5,8,4,9,10])).
% 63.61/63.70 cnf(434,plain,
% 63.61/63.70 (~E(f4(f4(a5,a6),f2(a7)),f3(f4(x4341,a1),f4(a5,f2(f4(a6,f2(a7))))))),
% 63.61/63.70 inference(scs_inference,[],[64,169,3])).
% 63.61/63.70 cnf(437,plain,
% 63.61/63.70 (E(x4371,f3(f3(x4371,a1),x4371))),
% 63.61/63.70 inference(scs_inference,[],[68,2])).
% 63.61/63.70 cnf(444,plain,
% 63.61/63.70 (P1(f3(x4441,a1),f3(f3(x4441,f4(x4442,a1)),a1))),
% 63.61/63.70 inference(scs_inference,[],[70,50,9])).
% 63.61/63.70 cnf(448,plain,
% 63.61/63.70 (E(f3(x4481,a1),f3(x4481,f4(x4482,a1)))),
% 63.61/63.70 inference(scs_inference,[],[70,66,50,52,9,10,2])).
% 63.61/63.70 cnf(449,plain,
% 63.61/63.70 (~E(f4(f4(a5,a6),f2(a7)),f3(f4(a5,f2(f4(a6,f2(a7)))),f4(x4491,a1)))),
% 63.61/63.70 inference(scs_inference,[],[70,66,50,52,108,9,10,2,3])).
% 63.61/63.70 cnf(457,plain,
% 63.61/63.70 (E(f4(x4571,x4572),f4(x4571,f3(f3(x4572,a1),x4572)))),
% 63.61/63.70 inference(scs_inference,[],[68,2,6])).
% 63.61/63.70 cnf(473,plain,
% 63.61/63.70 (E(f4(f2(x4731),f3(x4731,x4732)),f3(f3(x4731,f4(f2(x4731),x4731)),f4(f2(x4731),x4732)))),
% 63.61/63.70 inference(scs_inference,[],[258,2])).
% 63.61/63.70 cnf(474,plain,
% 63.61/63.70 (~E(f4(f4(a6,f2(a7)),a8),f2(f4(a6,f2(a7))))),
% 63.61/63.70 inference(scs_inference,[],[72,52,258,2,3])).
% 63.61/63.70 cnf(483,plain,
% 63.61/63.70 (P1(x4831,f4(f2(x4831),x4831))),
% 63.61/63.70 inference(rename_variables,[],[100])).
% 63.61/63.70 cnf(487,plain,
% 63.61/63.70 (~E(f2(f4(a6,f2(a7))),f4(f4(a6,f2(a7)),a8))),
% 63.61/63.70 inference(scs_inference,[],[70,65,100,483,474,10,9,2])).
% 63.61/63.70 cnf(491,plain,
% 63.61/63.70 (E(f3(f4(x4911,x4912),f4(x4911,x4913)),f3(f4(x4911,f3(x4912,x4913)),f3(f4(x4911,x4912),f4(x4911,x4913))))),
% 63.61/63.70 inference(scs_inference,[],[323,2])).
% 63.61/63.70 cnf(494,plain,
% 63.61/63.70 (E(f4(x4941,x4942),f4(x4941,f4(x4942,a8)))),
% 63.61/63.70 inference(scs_inference,[],[52,58,68,323,2,3,6])).
% 63.61/63.70 cnf(495,plain,
% 63.61/63.70 (P1(x4951,f4(f3(a1,x4951),a8))),
% 63.61/63.70 inference(scs_inference,[],[52,73,58,68,323,2,3,6,10])).
% 63.61/63.70 cnf(496,plain,
% 63.61/63.70 (E(x4961,f4(x4961,a8))),
% 63.61/63.70 inference(rename_variables,[],[52])).
% 63.61/63.70 cnf(497,plain,
% 63.61/63.70 (P1(f4(x4971,a8),f3(a1,x4971))),
% 63.61/63.70 inference(scs_inference,[],[52,496,73,58,68,323,2,3,6,10,9])).
% 63.61/63.70 cnf(499,plain,
% 63.61/63.70 (~E(f4(f4(a5,f4(a6,a7)),a8),f4(f4(a5,f2(f4(a6,f2(a7)))),a8))),
% 63.61/63.70 inference(scs_inference,[],[52,309,3])).
% 63.61/63.70 cnf(502,plain,
% 63.61/63.70 (E(f4(f4(f2(x5021),x5021),x5022),f4(f3(x5021,f4(f2(x5021),x5021)),x5022))),
% 63.61/63.70 inference(scs_inference,[],[211,2])).
% 63.61/63.70 cnf(511,plain,
% 63.61/63.70 (~E(f4(f4(a5,a6),a7),f3(f4(a5,f2(f4(a6,f2(a7)))),f4(x5111,a1)))),
% 63.61/63.70 inference(scs_inference,[],[70,118,3])).
% 63.61/63.70 cnf(513,plain,
% 63.61/63.70 (E(f2(f3(x5131,x5132)),f3(f3(f2(x5131),f2(x5132)),f2(f3(x5131,x5132))))),
% 63.61/63.70 inference(scs_inference,[],[70,209,118,3,2])).
% 63.61/63.70 cnf(521,plain,
% 63.61/63.70 (E(f2(a1),f2(f4(x5211,a1)))),
% 63.61/63.70 inference(scs_inference,[],[78,2])).
% 63.61/63.70 cnf(559,plain,
% 63.61/63.70 (~E(f4(f2(f4(a6,f2(a7))),a8),f4(a6,f2(a7)))),
% 63.61/63.70 inference(scs_inference,[],[58,79,494,396,8,3,28,7,5,4,6])).
% 63.61/63.70 cnf(564,plain,
% 63.61/63.70 (~E(f4(a5,f4(a6,f2(a7))),f4(a5,f4(f2(f4(a6,f2(a7))),a8)))),
% 63.61/63.70 inference(scs_inference,[],[58,79,73,494,396,123,8,3,28,7,5,4,6,10,9,2])).
% 63.61/63.70 cnf(569,plain,
% 63.61/63.70 (~E(f4(a6,f2(a7)),f4(f2(f4(a6,f2(a7))),a8))),
% 63.61/63.70 inference(scs_inference,[],[564,6])).
% 63.61/63.70 cnf(576,plain,
% 63.61/63.70 (~E(f4(a5,f2(f4(a6,f2(a7)))),f4(f4(a5,a6),f3(f3(a7,a1),a7)))),
% 63.61/63.70 inference(scs_inference,[],[82,81,457,6,3,2])).
% 63.61/63.70 cnf(580,plain,
% 63.61/63.70 (P1(f2(f4(x5801,a1)),f4(f2(a1),a1))),
% 63.61/63.70 inference(scs_inference,[],[186,215,163,521,10,9])).
% 63.61/63.70 cnf(581,plain,
% 63.61/63.70 (E(f3(x5811,f3(x5812,x5813)),f3(f3(f3(x5811,x5812),x5813),f3(x5811,f3(x5812,x5813))))),
% 63.61/63.70 inference(scs_inference,[],[400,186,215,163,521,10,9,2])).
% 63.61/63.70 cnf(595,plain,
% 63.61/63.70 (~E(f3(f3(f4(f4(a5,a6),a7),a1),f4(f4(a5,a6),a7)),f4(a5,f2(f4(a6,f2(a7)))))),
% 63.61/63.70 inference(scs_inference,[],[84,82,437,6,3])).
% 63.61/63.70 cnf(597,plain,
% 63.61/63.70 (~E(f4(a5,f2(f4(a6,f2(a7)))),f3(f3(f4(f4(a5,a6),a7),a1),f4(f4(a5,a6),a7)))),
% 63.61/63.70 inference(scs_inference,[],[84,82,437,6,3,2])).
% 63.61/63.70 cnf(617,plain,
% 63.61/63.70 (E(f2(f4(f3(x6171,x6172),x6173)),f2(f3(f4(x6171,x6173),f4(x6172,x6173))))),
% 63.61/63.70 inference(scs_inference,[],[279,2])).
% 63.61/63.70 cnf(626,plain,
% 63.61/63.70 (~E(f4(a6,f2(a7)),f3(f3(f2(f4(a6,f2(a7))),a1),f2(f4(a6,f2(a7)))))),
% 63.61/63.70 inference(scs_inference,[],[72,68,3])).
% 63.61/63.70 cnf(651,plain,
% 63.61/63.70 (E(f2(x6511),f2(f3(f3(x6511,a1),x6511)))),
% 63.61/63.70 inference(scs_inference,[],[68,2,4])).
% 63.61/63.70 cnf(685,plain,
% 63.61/63.70 (E(f4(x6851,x6852),f4(x6851,f3(x6852,a1)))),
% 63.61/63.70 inference(scs_inference,[],[96,2])).
% 63.61/63.70 cnf(687,plain,
% 63.61/63.70 (E(f4(x6871,f3(x6872,a1)),f4(x6871,x6872))),
% 63.61/63.70 inference(rename_variables,[],[96])).
% 63.61/63.70 cnf(690,plain,
% 63.61/63.70 (E(f3(x6901,f4(x6902,f3(x6903,a1))),f3(x6901,f4(x6902,x6903)))),
% 63.61/63.70 inference(scs_inference,[],[96,687,93,580,2,3,28,8])).
% 63.61/63.70 cnf(691,plain,
% 63.61/63.70 (E(f3(f4(x6911,f3(x6912,a1)),x6913),f3(f4(x6911,x6912),x6913))),
% 63.61/63.70 inference(scs_inference,[],[96,687,93,580,2,3,28,8,7])).
% 63.61/63.70 cnf(692,plain,
% 63.61/63.70 (E(f4(f4(x6921,f3(x6922,a1)),x6923),f4(f4(x6921,x6922),x6923))),
% 63.61/63.70 inference(scs_inference,[],[96,687,93,580,2,3,28,8,7,5])).
% 63.61/63.70 cnf(704,plain,
% 63.61/63.70 (E(f4(x7041,f4(x7042,f3(x7043,a1))),f4(x7041,f4(x7042,x7043)))),
% 63.61/63.70 inference(scs_inference,[],[96,97,179,2,3,6])).
% 63.61/63.70 cnf(710,plain,
% 63.61/63.70 (E(x7101,f3(x7101,a1))),
% 63.61/63.70 inference(rename_variables,[],[97])).
% 63.61/63.70 cnf(712,plain,
% 63.61/63.70 (E(x7121,f3(x7121,a1))),
% 63.61/63.70 inference(rename_variables,[],[97])).
% 63.61/63.70 cnf(714,plain,
% 63.61/63.70 (~E(f3(f4(f4(a5,a6),f2(a7)),a1),f4(f4(a5,f2(f4(a6,f2(a7)))),a8))),
% 63.61/63.70 inference(scs_inference,[],[76,98,95,97,710,712,10,9,2,3])).
% 63.61/63.70 cnf(725,plain,
% 63.61/63.70 (P1(f3(f3(x7251,x7252),a1),f3(x7251,f3(x7252,f4(x7253,a1))))),
% 63.61/63.70 inference(scs_inference,[],[97,98,714,444,2,3,10])).
% 63.61/63.70 cnf(735,plain,
% 63.61/63.70 (~E(f3(f2(f4(a6,f2(a7))),a1),f4(a6,f2(a7)))),
% 63.61/63.70 inference(scs_inference,[],[91,97,3])).
% 63.61/63.70 cnf(749,plain,
% 63.61/63.70 (P1(f3(x7491,a1),f4(f2(f3(x7491,a1)),x7491))),
% 63.61/63.70 inference(scs_inference,[],[100,96,10])).
% 63.61/63.70 cnf(750,plain,
% 63.61/63.70 (P1(x7501,f4(f2(x7501),x7501))),
% 63.61/63.70 inference(rename_variables,[],[100])).
% 63.61/63.70 cnf(751,plain,
% 63.61/63.70 (E(f4(x7511,f3(x7512,a1)),f4(x7511,x7512))),
% 63.61/63.70 inference(rename_variables,[],[96])).
% 63.61/63.70 cnf(752,plain,
% 63.61/63.70 (P1(f4(x7521,x7522),f4(f2(f4(x7521,f3(x7522,a1))),f4(x7521,f3(x7522,a1))))),
% 63.61/63.70 inference(scs_inference,[],[100,750,96,751,10,9])).
% 63.61/63.70 cnf(756,plain,
% 63.61/63.70 (~E(f2(f4(a6,f2(a7))),f3(f4(a6,f2(a7)),a1))),
% 63.61/63.70 inference(scs_inference,[],[79,100,750,96,751,10,9,3,6])).
% 63.61/63.70 cnf(757,plain,
% 63.61/63.70 (~E(f4(a5,f3(f4(a6,f2(a7)),a1)),f4(a5,f2(f4(a6,f2(a7)))))),
% 63.61/63.70 inference(scs_inference,[],[79,100,750,96,751,10,9,3,6,2])).
% 63.61/63.70 cnf(767,plain,
% 63.61/63.70 (~E(f3(f4(a6,f2(a7)),a1),f2(f4(a6,f2(a7))))),
% 63.61/63.70 inference(scs_inference,[],[757,6])).
% 63.61/63.70 cnf(774,plain,
% 63.61/63.70 (E(f3(x7741,x7742),f3(f3(x7741,a1),x7742))),
% 63.61/63.70 inference(scs_inference,[],[105,749,28,6,2])).
% 63.61/63.70 cnf(790,plain,
% 63.61/63.70 (E(f4(x7901,x7902),f4(f3(x7901,a1),x7902))),
% 63.61/63.70 inference(scs_inference,[],[106,100,97,752,6,10,9,2])).
% 63.61/63.70 cnf(807,plain,
% 63.61/63.70 (E(f3(f2(f3(f3(x8071,x8072),x8073)),x8074),f3(f2(f3(x8071,f3(x8072,x8073))),x8074))),
% 63.61/63.70 inference(scs_inference,[],[107,97,559,725,2,3,28,8,7])).
% 63.61/63.70 cnf(816,plain,
% 63.61/63.70 (E(f4(x8161,f2(f3(f3(x8162,x8163),x8164))),f4(x8161,f2(f3(x8162,f3(x8163,x8164)))))),
% 63.61/63.70 inference(scs_inference,[],[84,104,107,188,2,3,6])).
% 63.61/63.70 cnf(817,plain,
% 63.61/63.70 (P1(f4(a1,x8171),f3(a1,a1))),
% 63.61/63.70 inference(scs_inference,[],[87,97,10])).
% 63.61/63.70 cnf(818,plain,
% 63.61/63.70 (E(x8181,f3(x8181,a1))),
% 63.61/63.70 inference(rename_variables,[],[97])).
% 63.61/63.70 cnf(819,plain,
% 63.61/63.70 (P1(f3(a1,a1),f4(a1,x8191))),
% 63.61/63.70 inference(scs_inference,[],[87,89,97,818,10,9])).
% 63.61/63.70 cnf(826,plain,
% 63.61/63.70 (E(f3(x8261,f3(x8262,a1)),f3(x8261,x8262))),
% 63.61/63.70 inference(rename_variables,[],[104])).
% 63.61/63.70 cnf(836,plain,
% 63.61/63.70 (P1(f3(x8361,x8362),f4(f2(f3(f3(x8361,a1),x8362)),f3(f3(x8361,a1),x8362)))),
% 63.61/63.70 inference(scs_inference,[],[100,106,104,826,105,189,817,497,2,3,28,8,5,7,4,10,9])).
% 63.61/63.70 cnf(838,plain,
% 63.61/63.70 (~E(f4(f4(a5,a6),f2(a7)),f3(f4(a5,f2(f4(a6,f2(a7)))),f3(a1,a1)))),
% 63.61/63.70 inference(scs_inference,[],[108,104,3])).
% 63.61/63.70 cnf(848,plain,
% 63.61/63.70 (P1(f3(f2(a1),a1),f3(a1,a1))),
% 63.61/63.70 inference(scs_inference,[],[113,97,10])).
% 63.61/63.70 cnf(873,plain,
% 63.61/63.70 (E(f4(x8731,f4(f3(x8732,x8733),x8734)),f4(x8731,f3(f4(x8732,x8734),f4(x8733,x8734))))),
% 63.61/63.70 inference(scs_inference,[],[92,115,97,246,2,3,6])).
% 63.61/63.70 cnf(884,plain,
% 63.61/63.70 (E(f3(f4(f2(x8841),x8841),x8842),f3(f3(f3(x8841,f4(f2(x8841),x8841)),f4(f2(x8841),x8841)),x8842))),
% 63.61/63.70 inference(scs_inference,[],[111,97,382,873,767,2,3,28,8,7])).
% 63.61/63.70 cnf(885,plain,
% 63.61/63.70 (E(f2(f4(f2(x8851),x8851)),f2(f3(f3(x8851,f4(f2(x8851),x8851)),f4(f2(x8851),x8851))))),
% 63.61/63.70 inference(scs_inference,[],[111,97,382,873,767,2,3,28,8,7,4])).
% 63.61/63.70 cnf(887,plain,
% 63.61/63.70 (P1(f3(f2(a1),a1),f3(f3(a1,a1),a1))),
% 63.61/63.70 inference(scs_inference,[],[97,848,10])).
% 63.61/63.70 cnf(894,plain,
% 63.61/63.70 (E(f2(f3(f3(x8941,f4(f2(x8941),x8941)),f4(f2(x8941),x8941))),f2(f4(f2(x8941),x8941)))),
% 63.61/63.70 inference(scs_inference,[],[885,2])).
% 63.61/63.70 cnf(896,plain,
% 63.61/63.70 (E(f4(f3(x8961,x8962),x8963),f3(f4(x8961,x8963),f4(x8962,x8963)))),
% 63.61/63.70 inference(rename_variables,[],[115])).
% 63.61/63.70 cnf(899,plain,
% 63.61/63.70 (P1(x8991,f3(f4(a1,a8),f4(x8991,a8)))),
% 63.61/63.70 inference(scs_inference,[],[115,896,96,885,205,495,2,3,6,10])).
% 63.61/63.70 cnf(903,plain,
% 63.61/63.70 (~E(f3(f4(f4(a5,a6),a7),a1),f3(f4(a5,f2(f4(a6,f2(a7)))),a1))),
% 63.61/63.70 inference(scs_inference,[],[118,97,3])).
% 63.61/63.70 cnf(915,plain,
% 63.61/63.70 (~E(f3(f4(a5,f2(f4(a6,f2(a7)))),a1),f4(f4(a5,a6),f3(f2(a7),a1)))),
% 63.61/63.70 inference(scs_inference,[],[96,110,3])).
% 63.61/63.70 cnf(918,plain,
% 63.61/63.70 (P1(x9181,f3(f4(x9181,a8),a1))),
% 63.61/63.70 inference(scs_inference,[],[97,121,10])).
% 63.61/63.70 cnf(919,plain,
% 63.61/63.70 (E(x9191,f3(x9191,a1))),
% 63.61/63.70 inference(rename_variables,[],[97])).
% 63.61/63.70 cnf(923,plain,
% 63.61/63.70 (~E(f3(f2(f4(a6,f2(a7))),a1),f3(f4(a6,f2(a7)),a1))),
% 63.61/63.70 inference(scs_inference,[],[97,919,121,756,915,10,9,2,3])).
% 63.61/63.70 cnf(930,plain,
% 63.61/63.70 (E(f4(f3(x9301,x9302),x9303),f3(f4(x9301,x9303),f4(x9302,x9303)))),
% 63.61/63.70 inference(rename_variables,[],[115])).
% 63.61/63.70 cnf(931,plain,
% 63.61/63.70 (P1(x9311,f4(x9311,a8))),
% 63.61/63.70 inference(rename_variables,[],[121])).
% 63.61/63.70 cnf(932,plain,
% 63.61/63.70 (P1(f3(f4(x9321,x9322),f4(x9323,x9322)),f4(f4(f3(x9321,x9323),x9322),a8))),
% 63.61/63.70 inference(scs_inference,[],[97,121,931,115,930,119,884,2,3,10,9])).
% 63.61/63.70 cnf(934,plain,
% 63.61/63.70 (~E(f3(f4(a6,f2(a7)),a1),f3(f2(f4(a6,f2(a7))),a1))),
% 63.61/63.70 inference(scs_inference,[],[923,2])).
% 63.61/63.70 cnf(940,plain,
% 63.61/63.70 (E(f3(x9401,f4(f2(x9402),f3(x9402,x9403))),f3(x9401,f3(f3(x9402,f4(f2(x9402),x9402)),f4(f2(x9402),x9403))))),
% 63.61/63.70 inference(scs_inference,[],[115,106,473,923,887,2,3,28,8])).
% 63.61/63.70 cnf(941,plain,
% 63.61/63.70 (E(f4(f4(f2(x9411),f3(x9411,x9412)),x9413),f4(f3(f3(x9411,f4(f2(x9411),x9411)),f4(f2(x9411),x9412)),x9413))),
% 63.61/63.70 inference(scs_inference,[],[115,106,473,923,887,2,3,28,8,5])).
% 63.61/63.70 cnf(962,plain,
% 63.61/63.70 (E(x9621,f4(a8,x9621))),
% 63.61/63.70 inference(rename_variables,[],[125])).
% 63.61/63.70 cnf(965,plain,
% 63.61/63.70 (E(f4(x9651,x9652),f4(f4(a8,x9651),x9652))),
% 63.61/63.70 inference(scs_inference,[],[126,125,962,899,8,3,28,5])).
% 63.61/63.70 cnf(967,plain,
% 63.61/63.70 (E(f2(x9671),f2(f4(a8,x9671)))),
% 63.61/63.70 inference(scs_inference,[],[126,125,962,899,8,3,28,5,7,4])).
% 63.61/63.70 cnf(973,plain,
% 63.61/63.70 (E(f3(x9731,f3(f3(x9732,f4(f2(x9732),x9732)),f4(f2(x9732),x9733))),f3(x9731,f4(f2(x9732),f3(x9732,x9733))))),
% 63.61/63.70 inference(scs_inference,[],[940,2])).
% 63.61/63.70 cnf(979,plain,
% 63.61/63.70 (~E(f4(a8,f4(f4(a5,a6),a7)),f3(f4(a5,f2(f4(a6,f2(a7)))),a1))),
% 63.61/63.70 inference(scs_inference,[],[118,125,3])).
% 63.61/63.70 cnf(982,plain,
% 63.61/63.70 (P1(f3(f2(a1),a1),f4(a8,a1))),
% 63.61/63.70 inference(scs_inference,[],[113,125,10])).
% 63.61/63.70 cnf(983,plain,
% 63.61/63.70 (E(x9831,f4(a8,x9831))),
% 63.61/63.70 inference(rename_variables,[],[125])).
% 63.61/63.70 cnf(989,plain,
% 63.61/63.70 (E(f3(f3(f3(f2(a1),a1),a1),a1),a1)),
% 63.61/63.70 inference(scs_inference,[],[105,130,113,128,125,983,265,10,9,2,3,28])).
% 63.61/63.70 cnf(1005,plain,
% 63.61/63.70 (E(f4(f3(f3(x10051,f4(f2(x10051),x10051)),f4(f2(x10051),x10052)),x10053),f4(f4(f2(x10051),f3(x10051,x10052)),x10053))),
% 63.61/63.70 inference(scs_inference,[],[941,2])).
% 63.61/63.70 cnf(1051,plain,
% 63.61/63.70 (E(f4(f4(a8,x10511),x10512),f4(x10511,x10512))),
% 63.61/63.70 inference(rename_variables,[],[131])).
% 63.61/63.70 cnf(1056,plain,
% 63.61/63.70 (~E(f4(a8,f4(a5,f2(f4(a6,f2(a7))))),f4(f4(a5,a6),f4(a8,f2(a7))))),
% 63.61/63.70 inference(scs_inference,[],[135,133,131,1051,123,121,807,10,9,2,3])).
% 63.61/63.70 cnf(1061,plain,
% 63.61/63.70 (~E(f4(a8,f3(f4(a5,f2(f4(a6,f2(a7)))),f2(a1))),f4(f4(a5,a6),a7))),
% 63.61/63.70 inference(scs_inference,[],[125,320,1056,2,3])).
% 63.61/63.70 cnf(1077,plain,
% 63.61/63.70 (~E(f4(a8,f4(a5,f2(f4(a6,f2(a7))))),f4(f4(a8,f4(a5,a6)),f2(a7)))),
% 63.61/63.70 inference(scs_inference,[],[135,131,1061,2,3])).
% 63.61/63.70 cnf(1080,plain,
% 63.61/63.70 (~E(f3(f4(a8,f4(a6,f2(a7))),f4(a8,f4(a6,f2(a7)))),f2(f4(a6,f2(a7))))),
% 63.61/63.70 inference(scs_inference,[],[136,138,816,2,3])).
% 63.61/63.70 cnf(1081,plain,
% 63.61/63.70 (E(x10811,f3(x10811,x10811))),
% 63.61/63.70 inference(rename_variables,[],[138])).
% 63.61/63.70 cnf(1082,plain,
% 63.61/63.70 (E(f4(x10821,x10822),f4(x10821,f3(x10822,x10822)))),
% 63.61/63.70 inference(scs_inference,[],[136,138,1081,816,2,3,6])).
% 63.61/63.70 cnf(1084,plain,
% 63.61/63.70 (P1(f4(x10841,a8),x10841)),
% 63.61/63.70 inference(rename_variables,[],[123])).
% 63.61/63.70 cnf(1087,plain,
% 63.61/63.70 (E(f4(f3(x10871,x10872),x10873),f3(f4(x10871,x10873),f4(x10872,x10873)))),
% 63.61/63.70 inference(rename_variables,[],[115])).
% 63.61/63.70 cnf(1089,plain,
% 63.61/63.70 (E(f4(f3(x10891,x10892),x10893),f3(f3(f4(x10891,x10893),f4(x10892,x10893)),f3(f4(x10891,x10893),f4(x10892,x10893))))),
% 63.61/63.70 inference(scs_inference,[],[115,1087,138,123,1084,1077,10,9,2,3])).
% 63.61/63.70 cnf(1104,plain,
% 63.61/63.70 (~E(f2(f4(a6,f2(a7))),f3(f4(a8,f4(a6,f2(a7))),f4(a8,f4(a6,f2(a7)))))),
% 63.61/63.70 inference(scs_inference,[],[1080,2])).
% 63.61/63.70 cnf(1107,plain,
% 63.61/63.70 (E(f3(f3(f4(x11071,x11072),f4(x11073,x11072)),f3(f4(x11071,x11072),f4(x11073,x11072))),f4(f3(x11071,x11073),x11072))),
% 63.61/63.70 inference(scs_inference,[],[1089,2])).
% 63.61/63.70 cnf(1115,plain,
% 63.61/63.70 (E(x11151,f3(x11151,x11151))),
% 63.61/63.70 inference(rename_variables,[],[138])).
% 63.61/63.70 cnf(1116,plain,
% 63.61/63.70 (P1(f3(f2(a1),f2(a1)),f3(a1,a1))),
% 63.61/63.70 inference(scs_inference,[],[141,138,1115,9,10])).
% 63.61/63.70 cnf(1118,plain,
% 63.61/63.70 (E(f4(x11181,f3(x11182,x11182)),f4(x11181,x11182))),
% 63.61/63.70 inference(scs_inference,[],[141,138,1115,1082,9,10,2])).
% 63.61/63.70 cnf(1142,plain,
% 63.61/63.70 (E(f3(f3(f2(a1),f2(a1)),f3(f2(a1),f2(a1))),f3(a1,a1))),
% 63.61/63.70 inference(scs_inference,[],[146,138,2,3])).
% 63.61/63.70 cnf(1144,plain,
% 63.61/63.70 (E(f3(f3(f2(a1),f2(a1)),f3(a1,a1)),f3(a1,a1))),
% 63.61/63.70 inference(scs_inference,[],[146,138,1116,2,3,28])).
% 63.61/63.70 cnf(1159,plain,
% 63.61/63.70 (~E(f4(a8,f2(f4(a6,f2(a7)))),f4(a8,f4(a6,f2(a7))))),
% 63.61/63.70 inference(scs_inference,[],[125,145,1144,2,3])).
% 63.61/63.70 cnf(1167,plain,
% 63.61/63.70 (E(x11671,f4(f3(f2(x11672),a8),x11671))),
% 63.61/63.70 inference(scs_inference,[],[125,148,1159,2,3])).
% 63.61/63.70 cnf(1264,plain,
% 63.61/63.70 (E(f3(f2(x12641),x12642),f3(f2(f4(a8,x12641)),x12642))),
% 63.61/63.70 inference(scs_inference,[],[134,2,7])).
% 63.61/63.70 cnf(1282,plain,
% 63.61/63.70 (~E(f3(f2(f4(a6,f2(a7))),f2(f4(a6,f2(a7)))),f4(f4(a6,f2(a7)),a8))),
% 63.61/63.70 inference(scs_inference,[],[138,487,1142,2,3])).
% 63.61/63.70 cnf(1295,plain,
% 63.61/63.70 (~E(f4(f4(a6,f2(a7)),a8),f3(f2(f4(a6,f2(a7))),f2(f4(a6,f2(a7)))))),
% 63.61/63.70 inference(scs_inference,[],[160,150,138,1282,9,10,2])).
% 63.61/63.70 cnf(1340,plain,
% 63.61/63.70 (E(f3(x13401,f4(x13402,x13403)),f3(x13401,f4(x13402,f3(x13403,a1))))),
% 63.61/63.70 inference(scs_inference,[],[690,2])).
% 63.61/63.70 cnf(1368,plain,
% 63.61/63.70 (E(f3(f4(x13681,x13682),x13683),f3(f4(x13681,f3(x13682,a1)),x13683))),
% 63.61/63.70 inference(scs_inference,[],[168,691,8,2])).
% 63.61/63.70 cnf(1385,plain,
% 63.61/63.70 (E(f4(f4(x13851,x13852),x13853),f4(f4(x13851,f3(x13852,a1)),x13853))),
% 63.61/63.70 inference(scs_inference,[],[692,2])).
% 63.61/63.70 cnf(1393,plain,
% 63.61/63.70 (P1(f3(f4(x13931,x13932),f4(x13933,x13932)),f4(f4(f3(x13931,x13933),x13932),a8))),
% 63.61/63.70 inference(rename_variables,[],[932])).
% 63.61/63.70 cnf(1394,plain,
% 63.61/63.70 (E(f3(x13941,f4(x13941,a8)),f4(x13941,a8))),
% 63.61/63.70 inference(rename_variables,[],[153])).
% 63.61/63.70 cnf(1395,plain,
% 63.61/63.70 (P1(f3(x13951,f3(x13951,a1)),f4(f2(f3(f3(x13951,a1),f3(x13951,a1))),f3(x13951,a1)))),
% 63.61/63.70 inference(scs_inference,[],[153,1118,836,932,9,10])).
% 63.61/63.70 cnf(1405,plain,
% 63.61/63.70 (E(f4(f3(f4(x14051,x14052),f4(x14051,x14053)),x14054),f4(f3(f4(x14051,f3(x14052,x14053)),f3(f4(x14051,x14052),f4(x14051,x14053))),x14054))),
% 63.61/63.70 inference(scs_inference,[],[149,156,153,1394,491,1118,836,704,932,1393,9,10,2,3,28,8,5])).
% 63.61/63.70 cnf(1417,plain,
% 63.61/63.70 (~E(f4(f4(a8,a6),a7),f2(f4(a6,f2(a7))))),
% 63.61/63.70 inference(scs_inference,[],[174,965,3])).
% 63.61/63.70 cnf(1419,plain,
% 63.61/63.70 (E(f4(f3(f4(x14191,f3(x14192,x14193)),f3(f4(x14191,x14192),f4(x14191,x14193))),x14194),f4(f3(f4(x14191,x14192),f4(x14191,x14193)),x14194))),
% 63.61/63.70 inference(scs_inference,[],[174,1405,965,3,2])).
% 63.61/63.70 cnf(1420,plain,
% 63.61/63.70 (E(f4(x14201,f3(f3(f4(x14202,x14203),f4(x14204,x14203)),f3(f4(x14202,x14203),f4(x14204,x14203)))),f4(x14201,f4(f3(x14202,x14204),x14203)))),
% 63.61/63.70 inference(scs_inference,[],[174,1107,1405,965,3,2,6])).
% 63.61/63.70 cnf(1434,plain,
% 63.61/63.70 (E(f4(f2(f3(x14341,x14342)),x14343),f4(f3(f3(f2(x14341),f2(x14342)),f2(f3(x14341,x14342))),x14343))),
% 63.61/63.70 inference(scs_inference,[],[168,155,1420,513,1395,3,2,29,28,8,5])).
% 63.61/63.70 cnf(1436,plain,
% 63.61/63.70 (E(f2(f2(f3(x14361,x14362))),f2(f3(f3(f2(x14361),f2(x14362)),f2(f3(x14361,x14362)))))),
% 63.61/63.70 inference(scs_inference,[],[168,155,1420,513,1395,3,2,29,28,8,5,7,4])).
% 63.61/63.70 cnf(1449,plain,
% 63.61/63.70 (E(f4(x14491,f4(x14492,f2(f3(x14493,x14494)))),f4(x14491,f4(x14492,f3(f2(x14493),f2(x14494)))))),
% 63.61/63.70 inference(scs_inference,[],[153,179,502,1436,3,2,6])).
% 63.61/63.70 cnf(1456,plain,
% 63.61/63.70 (E(f4(f3(f3(x14561,f4(f2(x14561),x14561)),f4(f2(x14561),x14562)),f2(f3(x14563,x14564))),f4(f4(f2(x14561),f3(x14561,x14562)),f3(f2(x14563),f2(x14564))))),
% 63.61/63.70 inference(scs_inference,[],[179,1005,3])).
% 63.61/63.70 cnf(1465,plain,
% 63.61/63.70 (E(f3(x14651,f4(x14652,f2(f3(x14653,x14654)))),f3(x14651,f4(x14652,f3(f2(x14653),f2(x14654)))))),
% 63.61/63.70 inference(scs_inference,[],[174,179,1456,819,1082,3,2,28,8])).
% 63.61/63.70 cnf(1466,plain,
% 63.61/63.70 (E(f4(f4(x14661,f2(f3(x14662,x14663))),x14664),f4(f4(x14661,f3(f2(x14662),f2(x14663))),x14664))),
% 63.61/63.70 inference(scs_inference,[],[174,179,1456,819,1082,3,2,28,8,5])).
% 63.61/63.70 cnf(1468,plain,
% 63.61/63.70 (E(f2(f4(x14681,f2(f3(x14682,x14683)))),f2(f4(x14681,f3(f2(x14682),f2(x14683)))))),
% 63.61/63.70 inference(scs_inference,[],[180,174,179,1456,819,1082,3,2,28,8,5,7,4])).
% 63.61/63.70 cnf(1482,plain,
% 63.61/63.70 (~E(f4(a6,f3(f2(a7),a1)),f2(f4(a6,a7)))),
% 63.61/63.70 inference(scs_inference,[],[166,1417,685,2,3])).
% 63.61/63.70 cnf(1490,plain,
% 63.61/63.70 (E(x14901,f3(f4(x14901,a8),x14901))),
% 63.61/63.70 inference(scs_inference,[],[184,2])).
% 63.61/63.70 cnf(1496,plain,
% 63.61/63.70 (E(f3(x14961,f3(f4(x14962,a8),x14962)),f3(x14961,x14962))),
% 63.61/63.70 inference(scs_inference,[],[157,184,1419,982,2,3,28,8])).
% 63.61/63.70 cnf(1504,plain,
% 63.61/63.70 (~E(f4(f4(a5,f4(a6,a7)),a8),f4(f4(a5,f2(f4(a6,f2(a7)))),f3(f2(x15041),a8)))),
% 63.61/63.70 inference(scs_inference,[],[157,499,1496,1482,2,29,3])).
% 63.61/63.70 cnf(1509,plain,
% 63.61/63.70 (E(f4(x15091,f3(f2(f3(x15092,x15093)),x15094)),f4(x15091,f3(f3(f2(x15092),f2(x15093)),x15094)))),
% 63.61/63.70 inference(scs_inference,[],[186,174,1434,1490,2,3,6])).
% 63.61/63.70 cnf(1511,plain,
% 63.61/63.70 (E(f3(f2(f3(x15111,x15112)),f3(f3(x15113,f4(f2(x15113),x15113)),f4(f2(x15113),x15114))),f3(f3(f2(x15111),f2(x15112)),f4(f2(x15113),f3(x15113,x15114))))),
% 63.61/63.70 inference(scs_inference,[],[186,973,1504,2,3])).
% 63.61/63.70 cnf(1520,plain,
% 63.61/63.70 (E(f4(f2(f3(x15201,x15202)),f2(f3(x15203,x15204))),f4(f3(f2(x15201),f2(x15202)),f3(f2(x15203),f2(x15204))))),
% 63.61/63.70 inference(scs_inference,[],[187,179,1511,2,3])).
% 63.61/63.70 cnf(1548,plain,
% 63.61/63.70 (P1(f3(f2(x15481),f3(f2(x15482),f2(x15483))),f2(f3(x15481,f3(x15482,x15483))))),
% 63.61/63.70 inference(scs_inference,[],[188,175,174,1449,790,2,3,9])).
% 63.61/63.70 cnf(1550,plain,
% 63.61/63.70 (E(f3(x15501,f2(f3(x15502,x15503))),f3(x15501,f3(f2(x15502),f2(x15503))))),
% 63.61/63.70 inference(rename_variables,[],[188])).
% 63.61/63.70 cnf(1551,plain,
% 63.61/63.70 (P1(f2(f3(x15511,f3(x15512,x15513))),f3(f2(x15511),f3(f2(x15512),f2(x15513))))),
% 63.61/63.70 inference(scs_inference,[],[177,188,1550,175,174,1449,790,2,3,9,10])).
% 63.61/63.70 cnf(1570,plain,
% 63.61/63.70 (~E(f3(f4(a6,f2(a7)),a1),f2(f3(f4(a6,f2(a7)),a1)))),
% 63.61/63.70 inference(scs_inference,[],[181,1465,934,2,3])).
% 63.61/63.70 cnf(1573,plain,
% 63.61/63.70 (~E(f2(f3(f4(a6,f2(a7)),a1)),f3(f4(a6,f2(a7)),a1))),
% 63.61/63.70 inference(scs_inference,[],[1570,2])).
% 63.61/63.70 cnf(1574,plain,
% 63.61/63.70 (~E(f4(f3(f2(x15741),a8),f2(f4(a6,f2(a7)))),f4(a6,a7))),
% 63.61/63.70 inference(scs_inference,[],[190,1570,1167,2,3])).
% 63.61/63.70 cnf(1580,plain,
% 63.61/63.70 (E(f3(f3(f2(x15801),f3(f2(x15802),f2(x15803))),f2(f3(x15801,f3(x15802,x15803)))),f2(f3(x15801,f3(x15802,x15803))))),
% 63.61/63.70 inference(scs_inference,[],[168,180,1466,1548,2,3,28])).
% 63.61/63.70 cnf(1590,plain,
% 63.61/63.70 (P1(f3(f2(x15901),f2(f3(x15902,x15903))),f3(f2(f3(x15901,x15902)),f2(x15903)))),
% 63.61/63.70 inference(scs_inference,[],[168,177,188,191,1574,2,3,9])).
% 63.61/63.70 cnf(1592,plain,
% 63.61/63.70 (P1(f3(f2(f3(x15921,x15922)),f2(x15923)),f3(f2(x15921),f2(f3(x15922,x15923))))),
% 63.61/63.70 inference(scs_inference,[],[168,177,188,175,191,1574,2,3,9,10])).
% 63.61/63.70 cnf(1595,plain,
% 63.61/63.70 (~E(f2(f3(f4(a6,f2(a7)),a1)),f4(a6,a7))),
% 63.61/63.70 inference(scs_inference,[],[190,1580,290,2,3])).
% 63.61/63.70 cnf(1604,plain,
% 63.61/63.70 (~E(f4(a6,a7),f2(f3(f4(a6,f2(a7)),a1)))),
% 63.61/63.70 inference(scs_inference,[],[1595,2])).
% 63.61/63.70 cnf(1608,plain,
% 63.61/63.70 (~E(f4(a6,a7),f3(f2(f4(a6,f2(a7))),f2(a1)))),
% 63.61/63.70 inference(scs_inference,[],[180,1468,1604,2,3])).
% 63.61/63.70 cnf(1617,plain,
% 63.61/63.70 (~E(f2(f4(a8,f4(a6,f2(a7)))),f4(a6,a7))),
% 63.61/63.70 inference(scs_inference,[],[190,1608,967,2,3])).
% 63.61/63.70 cnf(1629,plain,
% 63.61/63.70 (~E(f4(a5,f4(a6,a7)),f4(a5,f2(f4(a6,f2(f2(a7))))))),
% 63.61/63.70 inference(scs_inference,[],[172,197,1617,2,3])).
% 63.61/63.70 cnf(1633,plain,
% 63.61/63.70 (P1(f2(f3(f3(x16331,x16332),x16333)),f3(f3(f2(x16331),f2(x16332)),f2(x16333)))),
% 63.61/63.70 inference(scs_inference,[],[172,177,197,186,179,1617,918,2,3,9,10])).
% 63.61/63.70 cnf(1643,plain,
% 63.61/63.70 (E(f3(f2(f4(x16431,x16432)),x16433),f3(f2(f4(x16431,f2(x16432))),x16433))),
% 63.61/63.70 inference(scs_inference,[],[198,193,197,1509,576,2,3,28,8,5,7])).
% 63.61/63.70 cnf(1666,plain,
% 63.61/63.70 (E(f3(f2(f3(x16661,f3(x16662,x16663))),f3(f2(x16661),f3(f2(x16662),f2(x16663)))),f3(f2(x16661),f3(f2(x16662),f2(x16663))))),
% 63.61/63.70 inference(scs_inference,[],[198,617,1520,1551,2,3,28])).
% 63.61/63.70 cnf(1672,plain,
% 63.61/63.70 (P1(f2(f3(x16721,f3(x16722,x16723))),f3(f2(f3(x16721,x16722)),f2(x16723)))),
% 63.61/63.70 inference(scs_inference,[],[181,180,198,617,1520,1551,1590,2,3,28,8,5,7,4,9])).
% 63.61/63.70 cnf(1680,plain,
% 63.61/63.70 (~E(f4(a5,f4(a6,a7)),f4(a5,f4(a6,f2(a7))))),
% 63.61/63.70 inference(scs_inference,[],[198,263,1629,2,3,4])).
% 63.61/63.70 cnf(1681,plain,
% 63.61/63.70 (~E(f4(a6,a7),f4(a6,f2(a7)))),
% 63.61/63.70 inference(scs_inference,[],[198,263,1629,2,3,4,6])).
% 63.61/63.70 cnf(1683,plain,
% 63.61/63.70 (~E(f4(a5,f2(f4(a6,a7))),f3(f3(f4(f4(a5,a6),a7),a1),f4(f4(a5,a6),a7)))),
% 63.61/63.70 inference(scs_inference,[],[202,197,597,2,3])).
% 63.61/63.70 cnf(1687,plain,
% 63.61/63.70 (~E(f4(a6,f2(a7)),f4(a6,a7))),
% 63.61/63.70 inference(scs_inference,[],[1681,2])).
% 63.61/63.70 cnf(1694,plain,
% 63.61/63.70 (E(f4(x16941,f3(x16942,f3(x16943,x16944))),f4(x16941,f3(f3(f3(x16942,x16943),x16944),f3(x16942,f3(x16943,x16944)))))),
% 63.61/63.70 inference(scs_inference,[],[202,184,581,1666,2,3,6])).
% 63.61/63.70 cnf(1696,plain,
% 63.61/63.70 (P1(f4(x16961,f2(a1)),f4(x16961,a1))),
% 63.61/63.70 inference(rename_variables,[],[195])).
% 63.61/63.70 cnf(1697,plain,
% 63.61/63.70 (E(f4(f2(x16971),x16971),f3(x16971,f4(f2(x16971),x16971)))),
% 63.61/63.70 inference(rename_variables,[],[205])).
% 63.61/63.70 cnf(1701,plain,
% 63.61/63.70 (E(f3(f3(f2(f3(x17011,x17012)),f2(x17013)),f3(f2(x17011),f2(f3(x17012,x17013)))),f3(f2(x17011),f2(f3(x17012,x17013))))),
% 63.61/63.70 inference(scs_inference,[],[205,1697,195,1696,202,184,581,1666,1592,2,3,6,9,10,28])).
% 63.61/63.70 cnf(1706,plain,
% 63.61/63.70 (~E(f4(f4(a6,f2(a7)),a8),f2(f3(f4(a6,f2(a7)),f4(a6,f2(a7)))))),
% 63.61/63.70 inference(scs_inference,[],[180,1295,2,3])).
% 63.61/63.70 cnf(1710,plain,
% 63.61/63.70 (~E(f2(a7),a7)),
% 63.61/63.70 inference(scs_inference,[],[595,1680,1687,1340,2,3,6])).
% 63.61/63.70 cnf(1715,plain,
% 63.61/63.70 (E(f3(f2(x17151),f2(f3(x17152,x17153))),f3(f3(f2(f3(x17151,x17152)),f2(x17153)),f3(f2(x17151),f2(f3(x17152,x17153)))))),
% 63.61/63.70 inference(scs_inference,[],[1701,2])).
% 63.61/63.70 cnf(1721,plain,
% 63.61/63.70 (~E(f4(f4(a8,a6),f2(a7)),f3(f3(f2(f4(a6,f2(a7))),a1),f2(f4(a6,f2(a7)))))),
% 63.61/63.70 inference(scs_inference,[],[626,1706,965,2,3])).
% 63.61/63.70 cnf(1724,plain,
% 63.61/63.70 (E(f3(f3(f2(f3(x17241,x17242)),f2(x17243)),f2(f3(f3(x17241,x17242),x17243))),f3(f2(x17241),f2(f3(x17242,x17243))))),
% 63.61/63.70 inference(scs_inference,[],[209,191,1694,2,3])).
% 63.61/63.70 cnf(1725,plain,
% 63.61/63.70 (E(f3(f3(f2(x17251),f2(x17252)),f2(f3(x17251,x17252))),f2(f3(x17251,x17252)))),
% 63.61/63.70 inference(rename_variables,[],[209])).
% 63.61/63.70 cnf(1726,plain,
% 63.61/63.70 (E(f3(f2(f3(f3(x17261,x17262),x17263)),f3(f3(f2(x17261),f2(x17262)),f2(x17263))),f3(f3(f2(x17261),f2(x17262)),f2(x17263)))),
% 63.61/63.70 inference(scs_inference,[],[209,191,1694,1633,2,3,28])).
% 63.61/63.70 cnf(1732,plain,
% 63.61/63.70 (P1(f3(f2(x17321),f2(x17322)),f3(f3(f2(x17321),f2(x17322)),f2(f3(x17321,x17322))))),
% 63.61/63.70 inference(scs_inference,[],[209,1725,206,191,1694,1633,2,3,28,8,5,7,6,29])).
% 63.61/63.70 cnf(1737,plain,
% 63.61/63.70 (P1(f3(a1,f4(f2(a1),a1)),f4(f2(a1),f2(a1)))),
% 63.61/63.70 inference(scs_inference,[],[184,205,193,1721,2,3,9])).
% 63.61/63.70 cnf(1744,plain,
% 63.61/63.70 (~E(f3(f3(a1,a1),f4(a5,f2(f4(a6,f2(a7))))),f4(f4(a5,a6),f2(a7)))),
% 63.61/63.70 inference(scs_inference,[],[1724,171,774,2,3])).
% 63.61/63.70 cnf(1747,plain,
% 63.61/63.70 (P1(f3(f3(f2(x17471),f2(x17472)),f2(x17473)),f3(f3(f2(f3(x17471,x17472)),f2(x17473)),f2(f3(f3(x17471,x17472),x17473))))),
% 63.61/63.70 inference(scs_inference,[],[186,1724,1732,171,774,2,3,4,9])).
% 63.61/63.70 cnf(1748,plain,
% 63.61/63.70 (E(f3(f2(f3(x17481,x17482)),x17483),f3(f3(f2(x17481),f2(x17482)),x17483))),
% 63.61/63.70 inference(rename_variables,[],[186])).
% 63.61/63.70 cnf(1750,plain,
% 63.61/63.70 (P1(f2(f3(x17501,f3(x17502,x17503))),f3(f3(f2(x17501),f2(x17502)),f2(x17503)))),
% 63.61/63.70 inference(scs_inference,[],[186,1748,1724,1732,1672,171,774,2,3,4,9,10])).
% 63.61/63.70 cnf(1753,plain,
% 63.61/63.70 (E(f4(f3(x17531,f4(f2(x17531),x17531)),f2(f4(x17532,f2(x17533)))),f4(f4(f2(x17531),x17531),f2(f4(x17532,x17533))))),
% 63.61/63.70 inference(scs_inference,[],[211,197,1683,2,3])).
% 63.61/63.70 cnf(1760,plain,
% 63.61/63.70 (E(f3(f2(f3(x17601,f3(x17602,x17603))),f3(f3(f2(x17601),f2(x17602)),f2(x17603))),f3(f3(f2(x17601),f2(x17602)),f2(x17603)))),
% 63.61/63.70 inference(scs_inference,[],[212,1726,1750,449,2,3,28])).
% 63.61/63.70 cnf(1762,plain,
% 63.61/63.70 (E(f3(x17621,f3(f2(a1),f4(f2(a1),a1))),f3(x17621,f4(f2(a1),a1)))),
% 63.61/63.70 inference(scs_inference,[],[212,206,1726,1750,449,2,3,28,8])).
% 63.61/63.70 cnf(1764,plain,
% 63.61/63.70 (E(f4(f3(f2(f3(f3(x17641,x17642),x17643)),f3(f3(f2(x17641),f2(x17642)),f2(x17643))),x17644),f4(f3(f3(f2(x17641),f2(x17642)),f2(x17643)),x17644))),
% 63.61/63.70 inference(scs_inference,[],[212,206,202,1726,1750,449,2,3,28,8,7,5])).
% 63.61/63.70 cnf(1770,plain,
% 63.61/63.70 (~E(f3(f2(f4(a8,a1)),f4(a5,f2(f4(a6,f2(a7))))),f4(f4(a5,a6),f2(a7)))),
% 63.61/63.70 inference(scs_inference,[],[381,1762,1264,1744,29,2,3])).
% 63.61/63.70 cnf(1773,plain,
% 63.61/63.70 (E(f3(f3(x17731,f4(f2(x17731),x17731)),f2(f3(x17732,x17733))),f3(f4(f2(x17731),x17731),f3(f2(x17732),f2(x17733))))),
% 63.61/63.70 inference(scs_inference,[],[188,213,1753,2,3])).
% 63.61/63.70 cnf(1782,plain,
% 63.61/63.70 (~E(f4(f4(a5,a6),a7),f3(f4(a5,f2(f4(a6,f2(a7)))),f3(a1,f4(f2(a1),a1))))),
% 63.61/63.70 inference(scs_inference,[],[212,1770,511,2,3])).
% 63.61/63.70 cnf(1785,plain,
% 63.61/63.70 (P1(f3(f3(f2(x17851),f2(x17852)),f3(f2(x17853),f2(x17854))),f3(f3(f2(f3(x17851,x17852)),f2(f3(x17853,x17854))),f2(f3(f3(x17851,x17852),f3(x17853,x17854)))))),
% 63.61/63.70 inference(scs_inference,[],[188,212,1747,1770,511,2,3,9])).
% 63.61/63.70 cnf(1790,plain,
% 63.61/63.70 (E(f3(f3(f2(x17901),f2(x17902)),f2(x17903)),f3(f2(f3(x17901,f3(x17902,x17903))),f3(f3(f2(x17901),f2(x17902)),f2(x17903))))),
% 63.61/63.70 inference(scs_inference,[],[1760,2])).
% 63.61/63.70 cnf(1791,plain,
% 63.61/63.70 (~E(f4(f4(a5,f3(a6,a1)),f2(a7)),f3(f4(a5,f2(f4(a6,f2(a7)))),f3(a1,a1)))),
% 63.61/63.70 inference(scs_inference,[],[1760,838,1385,2,3])).
% 63.61/63.70 cnf(1798,plain,
% 63.61/63.70 (E(f4(x17981,f3(f2(f3(x17982,f3(x17983,x17984))),f3(f3(f2(x17982),f2(x17983)),f2(x17984)))),f4(x17981,f3(f3(f2(x17982),f2(x17983)),f2(x17984))))),
% 63.61/63.70 inference(scs_inference,[],[202,1760,838,1737,1385,2,3,28,8,5,7,6])).
% 63.61/63.70 cnf(1800,plain,
% 63.61/63.70 (E(f2(f3(x18001,f4(f2(x18001),x18001))),f2(f4(f2(x18001),f2(x18001))))),
% 63.61/63.70 inference(scs_inference,[],[214,198,1791,2,3])).
% 63.61/63.70 cnf(1807,plain,
% 63.61/63.70 (E(f2(f3(f3(f2(x18071),f2(x18072)),f2(x18073))),f2(f3(f2(f3(x18071,f3(x18072,x18073))),f3(f3(f2(x18071),f2(x18072)),f2(x18073)))))),
% 63.61/63.70 inference(scs_inference,[],[213,1800,1790,434,2,3,4])).
% 63.61/63.70 cnf(1811,plain,
% 63.61/63.70 (~E(f4(f4(a5,a6),f3(a7,a1)),f4(a5,f2(f4(a6,f2(a7)))))),
% 63.61/63.70 inference(scs_inference,[],[903,1368,1782,2,3,7])).
% 63.61/63.70 cnf(1818,plain,
% 63.61/63.70 (E(f2(f3(f3(x18181,x18182),x18183)),f3(f3(f2(f3(x18181,x18182)),f2(x18183)),f3(f2(x18181),f2(f3(x18182,x18183)))))),
% 63.61/63.70 inference(scs_inference,[],[191,1715,1773,2,3])).
% 63.61/63.70 cnf(1857,plain,
% 63.61/63.70 (~E(f2(f4(a6,a7)),f4(a6,a7))),
% 63.61/63.70 inference(scs_inference,[],[221,197,1811,2,3,6])).
% 63.61/63.70 cnf(1860,plain,
% 63.61/63.70 (P1(f3(f3(f2(x18601),f2(x18602)),f3(f2(x18603),f2(x18604))),f2(f3(f3(x18601,x18602),f3(x18603,x18604))))),
% 63.61/63.70 inference(scs_inference,[],[195,221,209,202,197,1785,1811,2,3,6,9,10])).
% 63.61/63.70 cnf(1863,plain,
% 63.61/63.70 (E(f2(f3(f3(x18631,f4(f2(x18631),x18631)),f4(f2(x18631),x18631))),f2(f4(f2(x18631),f2(x18631))))),
% 63.61/63.70 inference(scs_inference,[],[198,894,1807,2,3])).
% 63.61/63.70 cnf(1879,plain,
% 63.61/63.70 (E(f4(f3(x18791,f3(x18792,x18793)),x18794),f4(f3(f3(x18791,x18792),x18793),x18794))),
% 63.61/63.70 inference(scs_inference,[],[224,1863,237,1860,979,2,3,28,8,5])).
% 63.61/63.70 cnf(1881,plain,
% 63.61/63.70 (E(f3(x18811,f3(f4(f2(x18811),x18811),x18812)),f3(f4(f2(x18811),x18811),x18812))),
% 63.61/63.70 inference(scs_inference,[],[224,213,1857,2,3])).
% 63.61/63.70 cnf(1934,plain,
% 63.61/63.70 (E(f4(f3(x19341,f4(f2(x19341),x19341)),f3(f3(x19342,x19343),x19344)),f4(f4(f2(x19341),x19341),f3(x19342,f3(x19343,x19344))))),
% 63.61/63.70 inference(scs_inference,[],[232,211,1881,2,3])).
% 63.61/63.70 cnf(1945,plain,
% 63.61/63.70 (E(f3(f3(x19451,f4(f2(x19451),x19451)),f3(x19452,x19453)),f3(f3(f4(f2(x19451),x19451),x19452),x19453))),
% 63.61/63.70 inference(scs_inference,[],[213,224,1818,2,3])).
% 63.61/63.70 cnf(2015,plain,
% 63.61/63.70 (~E(f4(f4(a5,a6),f2(a7)),f3(f3(f4(a5,f2(f4(a6,f2(a7)))),a1),f2(a1)))),
% 63.61/63.70 inference(scs_inference,[],[234,1945,838,2,3])).
% 63.61/63.70 cnf(2024,plain,
% 63.61/63.70 (P1(f3(f3(f3(x20241,x20242),x20243),x20244),f3(x20241,f3(x20242,f3(x20243,x20244))))),
% 63.61/63.70 inference(scs_inference,[],[230,224,1710,2015,651,2,3,9])).
% 63.61/63.70 cnf(2050,plain,
% 63.61/63.70 (E(f3(f3(f3(f3(x20501,x20502),x20503),x20504),f3(x20501,f3(x20502,f3(x20503,x20504)))),f3(x20501,f3(x20502,f3(x20503,x20504))))),
% 63.61/63.70 inference(scs_inference,[],[246,1764,1643,2024,735,8,2,3,28])).
% 63.61/63.70 cnf(2059,plain,
% 63.61/63.70 (E(f3(x20591,f4(f4(x20592,x20593),x20594)),f3(x20591,f4(x20592,f4(x20593,x20594))))),
% 63.61/63.70 inference(rename_variables,[],[247])).
% 63.61/63.70 cnf(2063,plain,
% 63.61/63.70 (E(f3(f3(x20631,f4(f4(x20632,x20633),x20634)),x20635),f3(f3(x20631,f4(x20632,f4(x20633,x20634))),x20635))),
% 63.61/63.70 inference(scs_inference,[],[247,2059,243,240,245,228,2050,1104,2,3,9,10,7])).
% 63.61/63.70 cnf(2128,plain,
% 63.61/63.70 (P1(f4(x21281,f3(x21282,x21283)),f3(f4(x21281,x21282),f4(x21281,x21283)))),
% 63.61/63.70 inference(rename_variables,[],[253])).
% 63.61/63.70 cnf(2130,plain,
% 63.61/63.70 (P1(f4(f4(x21301,x21302),f3(x21303,x21304)),f3(f4(x21301,f4(x21302,x21303)),f4(f4(x21301,x21302),x21304)))),
% 63.61/63.70 inference(scs_inference,[],[253,2128,238,245,250,1798,290,2,3,9,10])).
% 63.61/63.70 cnf(2160,plain,
% 63.61/63.70 (E(f4(x21601,f3(x21602,x21603)),f3(f4(x21601,x21602),f4(x21601,x21603)))),
% 63.61/63.70 inference(rename_variables,[],[257])).
% 63.61/63.70 cnf(2163,plain,
% 63.61/63.70 (E(f3(x21631,f4(x21632,f3(x21633,x21634))),f3(x21631,f3(f4(x21632,x21633),f4(x21632,x21634))))),
% 63.61/63.70 inference(scs_inference,[],[232,257,2160,1934,2130,2,3,28,8])).
% 63.61/63.70 cnf(2592,plain,
% 63.61/63.70 (P1(f3(f2(a1),f2(a1)),f3(f3(f2(a1),a1),a1))),
% 63.61/63.70 inference(scs_inference,[],[304,306,9])).
% 63.61/63.70 cnf(2616,plain,
% 63.61/63.70 (E(f4(x26161,f3(f3(x26162,f4(f2(x26162),x26162)),f4(f2(x26162),x26162))),f4(x26161,f4(f2(x26162),x26162)))),
% 63.61/63.70 inference(scs_inference,[],[296,299,291,2163,2592,989,2,3,28,8,5,6])).
% 63.61/63.70 cnf(2658,plain,
% 63.61/63.70 (E(f2(f3(x26581,a1)),f2(f3(x26581,f2(a1))))),
% 63.61/63.70 inference(scs_inference,[],[313,310,312,2616,569,2,3,7,4])).
% 63.61/63.70 cnf(3750,plain,
% 63.61/63.70 (~E(f2(f3(f4(a6,f2(a7)),f2(a1))),f3(f4(a6,f2(a7)),a1))),
% 63.61/63.70 inference(scs_inference,[],[1879,1573,2658,2,3])).
% 63.61/63.70 cnf(3755,plain,
% 63.61/63.70 (E(f4(f4(x37551,f4(x37552,a1)),x37553),f4(f4(x37551,a1),x37553))),
% 63.61/63.70 inference(rename_variables,[],[427])).
% 63.61/63.70 cnf(3759,plain,
% 63.61/63.70 (~E(f3(f4(a6,f2(a7)),a1),f2(f3(f4(a6,f2(a7)),f2(a1))))),
% 63.61/63.70 inference(scs_inference,[],[432,430,427,3755,3750,10,9,2])).
% 63.61/63.70 cnf(3958,plain,
% 63.61/63.70 (~E(f3(f4(a6,f2(a7)),f4(x39581,a1)),f2(f3(f4(a6,f2(a7)),f2(a1))))),
% 63.61/63.70 inference(scs_inference,[],[448,2063,3759,2,3])).
% 63.61/63.71 cnf(4389,plain,
% 63.61/63.71 ($false),
% 63.61/63.71 inference(scs_inference,[],[198,27,248,3958,2,3]),
% 63.61/63.71 ['proof']).
% 63.61/63.71 % SZS output end Proof
% 63.61/63.71 % Total time :63.030000s
%------------------------------------------------------------------------------