TSTP Solution File: HEN004-4 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : HEN004-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n020.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 01:54:02 EDT 2023
% Result : Unsatisfiable 5.97s 6.10s
% Output : CNFRefutation 6.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN004-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n020.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 : Thu Aug 24 13:36:30 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.49 start to proof:theBenchmark
% 5.97/6.09 %-------------------------------------------
% 5.97/6.09 % File :CSE---1.6
% 5.97/6.09 % Problem :theBenchmark
% 5.97/6.09 % Transform :cnf
% 5.97/6.09 % Format :tptp:raw
% 5.97/6.09 % Command :java -jar mcs_scs.jar %d %s
% 5.97/6.09
% 5.97/6.09 % Result :Theorem 5.560000s
% 5.97/6.09 % Output :CNFRefutation 5.560000s
% 5.97/6.09 %-------------------------------------------
% 5.97/6.10 %--------------------------------------------------------------------------
% 5.97/6.10 % File : HEN004-4 : TPTP v8.1.2. Released v1.0.0.
% 5.97/6.10 % Domain : Henkin Models
% 5.97/6.10 % Problem : X/zero = X
% 5.97/6.10 % Version : [MOW76] axioms : Augmented.
% 5.97/6.10 % English :
% 5.97/6.10
% 5.97/6.10 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 5.97/6.10 % Source : [TPTP]
% 5.97/6.10 % Names :
% 5.97/6.10
% 5.97/6.10 % Status : Unsatisfiable
% 5.97/6.10 % Rating : 0.00 v6.0.0, 0.11 v5.5.0, 0.19 v5.4.0, 0.20 v5.3.0, 0.25 v5.2.0, 0.12 v5.1.0, 0.14 v5.0.0, 0.29 v4.1.0, 0.22 v4.0.1, 0.17 v3.7.0, 0.00 v3.1.0, 0.11 v2.7.0, 0.00 v2.6.0, 0.29 v2.5.0, 0.00 v2.2.1, 0.11 v2.2.0, 0.14 v2.1.0, 0.20 v2.0.0
% 5.97/6.10 % Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 4 RR)
% 5.97/6.10 % Number of literals : 15 ( 7 equ; 5 neg)
% 5.97/6.10 % Maximal clause size : 3 ( 1 avg)
% 5.97/6.10 % Maximal term depth : 3 ( 1 avg)
% 5.97/6.10 % Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% 5.97/6.10 % Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% 5.97/6.10 % Number of variables : 16 ( 5 sgn)
% 5.97/6.10 % SPC : CNF_UNS_RFO_SEQ_HRN
% 5.97/6.10
% 5.97/6.10 % Comments :
% 5.97/6.10 %--------------------------------------------------------------------------
% 5.97/6.10 %----Include Henkin model axioms for equality formulation
% 5.97/6.10 include('Axioms/HEN002-0.ax').
% 5.97/6.10 %--------------------------------------------------------------------------
% 5.97/6.10 cnf(everything_divide_id_is_zero,axiom,
% 5.97/6.10 divide(X,identity) = zero ).
% 5.97/6.10
% 5.97/6.10 cnf(zero_divide_anything_is_zero,axiom,
% 5.97/6.10 divide(zero,X) = zero ).
% 5.97/6.10
% 5.97/6.10 cnf(x_divide_x_is_zero,axiom,
% 5.97/6.10 divide(X,X) = zero ).
% 5.97/6.10
% 5.97/6.10 cnf(prove_x_divide_zero_is_x,negated_conjecture,
% 5.97/6.10 divide(a,zero) != a ).
% 5.97/6.10
% 5.97/6.10 %--------------------------------------------------------------------------
% 5.97/6.10 %-------------------------------------------
% 5.97/6.10 % Proof found
% 5.97/6.10 % SZS status Theorem for theBenchmark
% 5.97/6.10 % SZS output start Proof
% 5.97/6.10 %ClaNum:18(EqnAxiom:7)
% 5.97/6.10 %VarNum:30(SingletonVarNum:16)
% 5.97/6.10 %MaxLitNum:3
% 5.97/6.10 %MaxfuncDepth:2
% 5.97/6.10 %SharedTerms:5
% 5.97/6.10 %goalClause: 15
% 5.97/6.10 %singleGoalClaCount:1
% 5.97/6.10 [15]~E(f2(a3,a4),a3)
% 5.97/6.10 [10]P1(x101,a1)
% 5.97/6.10 [11]P1(a4,x111)
% 5.97/6.10 [8]E(f2(x81,a1),a4)
% 5.97/6.10 [9]E(f2(a4,x91),a4)
% 5.97/6.10 [12]E(f2(x121,x121),a4)
% 5.97/6.10 [13]P1(f2(x131,x132),x131)
% 5.97/6.10 [14]P1(f2(f2(x141,x142),f2(x143,x142)),f2(f2(x141,x143),x142))
% 5.97/6.10 [16]~P1(x161,x162)+E(f2(x161,x162),a4)
% 5.97/6.10 [17]P1(x171,x172)+~E(f2(x171,x172),a4)
% 5.97/6.10 [18]~P1(x182,x181)+~P1(x181,x182)+E(x181,x182)
% 5.97/6.10 %EqnAxiom
% 5.97/6.10 [1]E(x11,x11)
% 5.97/6.10 [2]E(x22,x21)+~E(x21,x22)
% 5.97/6.10 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 5.97/6.10 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 5.97/6.10 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 5.97/6.10 [6]P1(x62,x63)+~E(x61,x62)+~P1(x61,x63)
% 5.97/6.10 [7]P1(x73,x72)+~E(x71,x72)+~P1(x73,x71)
% 5.97/6.10
% 5.97/6.10 %-------------------------------------------
% 5.97/6.11 cnf(19,plain,
% 5.97/6.11 (E(a4,f2(x191,x191))),
% 5.97/6.11 inference(scs_inference,[],[12,2])).
% 5.97/6.11 cnf(20,plain,
% 5.97/6.11 (P1(x201,x201)),
% 5.97/6.11 inference(scs_inference,[],[12,2,17])).
% 5.97/6.11 cnf(22,plain,
% 5.97/6.11 (P1(f2(f2(x221,x221),x222),a4)),
% 5.97/6.11 inference(scs_inference,[],[13,12,2,17,7])).
% 5.97/6.11 cnf(23,plain,
% 5.97/6.11 (P1(f2(x231,x232),x231)),
% 5.97/6.11 inference(rename_variables,[],[13])).
% 5.97/6.11 cnf(24,plain,
% 5.97/6.11 (P1(f2(x241,x241),x242)),
% 5.97/6.11 inference(scs_inference,[],[11,13,12,2,17,7,6])).
% 5.97/6.11 cnf(25,plain,
% 5.97/6.11 (~P1(a3,f2(a3,a4))),
% 5.97/6.11 inference(scs_inference,[],[15,11,13,23,12,2,17,7,6,18])).
% 5.97/6.11 cnf(26,plain,
% 5.97/6.11 (P1(f2(x261,x262),x261)),
% 5.97/6.11 inference(rename_variables,[],[13])).
% 5.97/6.11 cnf(28,plain,
% 5.97/6.11 (E(f2(x281,f2(x282,x282)),f2(x281,a4))),
% 5.97/6.11 inference(scs_inference,[],[15,11,13,23,12,2,17,7,6,18,5])).
% 5.97/6.11 cnf(29,plain,
% 5.97/6.11 (E(f2(f2(x291,x291),x292),f2(a4,x292))),
% 5.97/6.11 inference(scs_inference,[],[15,11,13,23,12,2,17,7,6,18,5,4])).
% 5.97/6.11 cnf(30,plain,
% 5.97/6.11 (E(f2(f2(x301,x302),x301),a4)),
% 5.97/6.11 inference(scs_inference,[],[15,11,13,23,26,12,2,17,7,6,18,5,4,16])).
% 5.97/6.11 cnf(32,plain,
% 5.97/6.11 (~E(x321,a3)+~E(f2(a3,a4),x321)),
% 5.97/6.11 inference(scs_inference,[],[15,11,13,23,26,12,2,17,7,6,18,5,4,16,3])).
% 5.97/6.11 cnf(33,plain,
% 5.97/6.11 (~E(f2(a3,f2(a3,a4)),a4)),
% 5.97/6.11 inference(scs_inference,[],[25,17])).
% 5.97/6.11 cnf(35,plain,
% 5.97/6.11 (~P1(f2(a3,f2(a3,a4)),a4)),
% 5.97/6.11 inference(scs_inference,[],[11,25,17,18])).
% 5.97/6.11 cnf(36,plain,
% 5.97/6.11 (P1(a4,x361)),
% 5.97/6.11 inference(rename_variables,[],[11])).
% 5.97/6.11 cnf(38,plain,
% 5.97/6.11 (E(f2(x381,a1),f2(x382,x382))),
% 5.97/6.11 inference(scs_inference,[],[8,11,19,25,17,18,3])).
% 5.97/6.11 cnf(39,plain,
% 5.97/6.11 (~E(a3,f2(a3,a4))),
% 5.97/6.11 inference(scs_inference,[],[15,8,11,19,25,17,18,3,2])).
% 5.97/6.11 cnf(40,plain,
% 5.97/6.11 (~P1(a3,f2(a3,f2(x401,x401)))),
% 5.97/6.11 inference(scs_inference,[],[15,8,11,28,19,25,17,18,3,2,7])).
% 5.97/6.11 cnf(42,plain,
% 5.97/6.11 (~E(a4,a3)),
% 5.97/6.11 inference(scs_inference,[],[15,8,11,36,28,19,25,17,18,3,2,7,6])).
% 5.97/6.11 cnf(44,plain,
% 5.97/6.11 (E(a4,f2(f2(x441,x441),x442))),
% 5.97/6.11 inference(scs_inference,[],[11,22,18])).
% 5.97/6.11 cnf(47,plain,
% 5.97/6.11 (~E(f2(a3,f2(a3,a4)),f2(x471,a1))),
% 5.97/6.11 inference(scs_inference,[],[8,11,22,33,18,3])).
% 5.97/6.11 cnf(48,plain,
% 5.97/6.11 (P1(f2(f2(x481,a1),f2(x482,a1)),a4)),
% 5.97/6.11 inference(scs_inference,[],[8,14,11,22,33,18,3,7])).
% 5.97/6.11 cnf(49,plain,
% 5.97/6.11 (E(f2(x491,a1),a4)),
% 5.97/6.11 inference(rename_variables,[],[8])).
% 5.97/6.11 cnf(51,plain,
% 5.97/6.11 (E(a4,f2(x511,a1))),
% 5.97/6.11 inference(scs_inference,[],[8,49,14,11,22,33,18,3,7,2])).
% 5.97/6.11 cnf(52,plain,
% 5.97/6.11 (~E(f2(f2(a3,f2(a3,a4)),a4),a4)),
% 5.97/6.11 inference(scs_inference,[],[8,49,14,11,22,35,33,18,3,7,2,17])).
% 5.97/6.11 cnf(54,plain,
% 5.97/6.11 (~E(f2(a3,a4),a1)),
% 5.97/6.11 inference(scs_inference,[],[47,5])).
% 5.97/6.11 cnf(55,plain,
% 5.97/6.11 (~E(f2(a3,f2(a3,a4)),f2(x551,a1))),
% 5.97/6.11 inference(rename_variables,[],[47])).
% 5.97/6.11 cnf(56,plain,
% 5.97/6.11 (~P1(f2(f2(a3,f2(a3,a4)),a4),a4)),
% 5.97/6.11 inference(scs_inference,[],[11,47,52,5,18])).
% 5.97/6.11 cnf(59,plain,
% 5.97/6.11 (~E(f2(f2(a3,f2(a3,a4)),a4),f2(x591,a1))),
% 5.97/6.11 inference(scs_inference,[],[8,11,47,52,5,18,3])).
% 5.97/6.11 cnf(60,plain,
% 5.97/6.11 (~E(a1,f2(a3,f2(x601,x601)))),
% 5.97/6.11 inference(scs_inference,[],[8,10,11,47,52,40,5,18,3,7])).
% 5.97/6.11 cnf(62,plain,
% 5.97/6.11 (~E(f2(x621,a1),f2(a3,f2(a3,a4)))),
% 5.97/6.11 inference(scs_inference,[],[8,10,11,47,55,52,40,5,18,3,7,2])).
% 5.97/6.11 cnf(63,plain,
% 5.97/6.11 (E(f2(f2(x631,a1),f2(x632,a1)),a4)),
% 5.97/6.11 inference(scs_inference,[],[11,48,18])).
% 5.97/6.11 cnf(66,plain,
% 5.97/6.11 (E(f2(x661,f2(a4,x662)),f2(x661,a4))),
% 5.97/6.11 inference(scs_inference,[],[9,11,48,18,5])).
% 5.97/6.11 cnf(69,plain,
% 5.97/6.11 (E(f2(a4,x691),f2(x692,x692))),
% 5.97/6.11 inference(scs_inference,[],[9,20,19,11,29,48,18,5,6,3])).
% 5.97/6.11 cnf(70,plain,
% 5.97/6.11 (E(a4,f2(a4,x701))),
% 5.97/6.11 inference(scs_inference,[],[9,20,19,11,29,48,18,5,6,3,2])).
% 5.97/6.11 cnf(71,plain,
% 5.97/6.11 (~P1(f2(f2(a3,f2(a3,a4)),a4),f2(a4,x711))),
% 5.97/6.11 inference(scs_inference,[],[9,20,19,11,29,48,56,18,5,6,3,2,7])).
% 5.97/6.11 cnf(72,plain,
% 5.97/6.11 (E(f2(f2(x721,x721),x722),a4)),
% 5.97/6.11 inference(scs_inference,[],[9,20,19,11,24,29,48,56,18,5,6,3,2,7,16])).
% 5.97/6.11 cnf(74,plain,
% 5.97/6.11 (E(f2(f2(a4,x741),x742),f2(a4,x742))),
% 5.97/6.11 inference(scs_inference,[],[9,20,19,11,24,29,48,56,18,5,6,3,2,7,16,4])).
% 5.97/6.11 cnf(75,plain,
% 5.97/6.11 (P1(f2(x751,a1),f2(x752,a1))),
% 5.97/6.11 inference(scs_inference,[],[9,20,19,11,24,29,48,56,18,5,6,3,2,7,16,4,17])).
% 5.97/6.11 cnf(77,plain,
% 5.97/6.11 (~E(f2(a3,f2(a3,f2(x771,x771))),a4)),
% 5.97/6.11 inference(scs_inference,[],[40,17])).
% 5.97/6.11 cnf(79,plain,
% 5.97/6.11 (E(a4,f2(f2(x791,a1),f2(x792,a1)))),
% 5.97/6.11 inference(scs_inference,[],[11,48,40,17,18])).
% 5.97/6.11 cnf(84,plain,
% 5.97/6.11 (~E(f2(a4,x841),f2(f2(a3,f2(a3,a4)),a4))),
% 5.97/6.11 inference(scs_inference,[],[20,11,71,62,48,40,17,18,5,6])).
% 5.97/6.11 cnf(85,plain,
% 5.97/6.11 (P1(x851,x851)),
% 5.97/6.11 inference(rename_variables,[],[20])).
% 5.97/6.11 cnf(86,plain,
% 5.97/6.11 (~E(f2(x861,a1),f2(f2(a3,f2(a3,a4)),a4))),
% 5.97/6.11 inference(scs_inference,[],[20,11,59,71,62,48,40,17,18,5,6,2])).
% 5.97/6.11 cnf(87,plain,
% 5.97/6.11 (~E(f2(a3,f2(a3,a4)),f2(a4,x871))),
% 5.97/6.11 inference(scs_inference,[],[9,20,11,59,71,62,33,48,40,17,18,5,6,2,3])).
% 5.97/6.11 cnf(88,plain,
% 5.97/6.11 (P1(f2(x881,a1),f2(x882,x882))),
% 5.97/6.12 inference(scs_inference,[],[9,20,85,11,38,59,71,62,33,48,40,17,18,5,6,2,3,7])).
% 5.97/6.12 cnf(90,plain,
% 5.97/6.12 (~E(a4,f2(a3,f2(a3,a4)))),
% 5.97/6.12 inference(scs_inference,[],[9,20,85,11,38,59,71,62,33,48,40,17,18,5,6,2,3,7,4])).
% 5.97/6.12 cnf(91,plain,
% 5.97/6.12 (~P1(a1,f2(a3,a4))),
% 5.97/6.12 inference(scs_inference,[],[10,54,18])).
% 5.97/6.12 cnf(92,plain,
% 5.97/6.12 (P1(x921,a1)),
% 5.97/6.12 inference(rename_variables,[],[10])).
% 5.97/6.12 cnf(94,plain,
% 5.97/6.12 (E(f2(a4,x941),f2(f2(x942,x942),x941))),
% 5.97/6.12 inference(scs_inference,[],[10,19,54,18,4])).
% 5.97/6.12 cnf(95,plain,
% 5.97/6.12 (E(f2(x951,a4),f2(x951,f2(x952,x952)))),
% 5.97/6.12 inference(scs_inference,[],[10,19,54,18,4,5])).
% 5.97/6.12 cnf(96,plain,
% 5.97/6.12 (~E(f2(f2(x961,x961),x962),f2(a3,f2(a3,a4)))),
% 5.97/6.12 inference(scs_inference,[],[10,22,19,54,35,18,4,5,6])).
% 5.97/6.12 cnf(97,plain,
% 5.97/6.12 (E(f2(x971,x971),f2(a4,x972))),
% 5.97/6.12 inference(scs_inference,[],[10,22,19,69,54,35,18,4,5,6,2])).
% 5.97/6.12 cnf(98,plain,
% 5.97/6.12 (~E(a4,f2(f2(a3,f2(a3,a4)),a4))),
% 5.97/6.12 inference(scs_inference,[],[10,22,19,12,69,84,54,35,18,4,5,6,2,3])).
% 5.97/6.12 cnf(101,plain,
% 5.97/6.12 (~E(a1,a4)),
% 5.97/6.12 inference(scs_inference,[],[10,92,22,19,12,69,84,54,35,18,4,5,6,2,3,7])).
% 5.97/6.12 cnf(104,plain,
% 5.97/6.12 (~P1(f2(a3,f2(a3,a4)),f2(f2(x1041,x1041),f2(x1041,x1041)))),
% 5.97/6.12 inference(scs_inference,[],[96,24,18])).
% 5.97/6.12 cnf(105,plain,
% 5.97/6.12 (~E(f2(f2(x1051,x1051),x1052),f2(a3,f2(a3,a4)))),
% 5.97/6.12 inference(rename_variables,[],[96])).
% 5.97/6.12 cnf(108,plain,
% 5.97/6.12 (~E(f2(x1081,x1081),a3)),
% 5.97/6.12 inference(scs_inference,[],[96,105,24,18,4])).
% 5.97/6.12 cnf(109,plain,
% 5.97/6.12 (~E(f2(f2(x1091,x1091),x1092),f2(a3,f2(a3,a4)))),
% 5.97/6.12 inference(rename_variables,[],[96])).
% 5.97/6.12 cnf(110,plain,
% 5.97/6.12 (~E(f2(a3,f2(a3,a4)),f2(f2(x1101,x1101),x1102))),
% 5.97/6.12 inference(scs_inference,[],[96,105,109,24,18,4,2])).
% 5.97/6.12 cnf(111,plain,
% 5.97/6.12 (E(f2(x1111,x1111),f2(x1112,x1112))),
% 5.97/6.12 inference(scs_inference,[],[19,12,96,105,109,24,18,4,2,3])).
% 5.97/6.12 cnf(112,plain,
% 5.97/6.12 (~P1(a1,f2(a3,f2(a4,x1121)))),
% 5.97/6.12 inference(scs_inference,[],[19,12,96,105,109,66,91,24,18,4,2,3,7])).
% 5.97/6.12 cnf(114,plain,
% 5.97/6.12 (~E(f2(a1,f2(a3,f2(a4,x1141))),a4)),
% 5.97/6.12 inference(scs_inference,[],[112,17])).
% 5.97/6.12 cnf(116,plain,
% 5.97/6.12 (~P1(f2(a3,f2(a3,f2(x1161,x1161))),a4)),
% 5.97/6.12 inference(scs_inference,[],[11,77,112,17,18])).
% 5.97/6.12 cnf(119,plain,
% 5.97/6.12 (E(f2(f2(x1191,x1191),x1192),f2(f2(x1193,x1193),x1192))),
% 5.97/6.12 inference(scs_inference,[],[11,111,77,112,17,18,4])).
% 5.97/6.12 cnf(120,plain,
% 5.97/6.12 (P1(f2(a4,x1201),x1202)),
% 5.97/6.12 inference(scs_inference,[],[11,13,111,97,77,112,17,18,4,6])).
% 5.97/6.12 cnf(123,plain,
% 5.97/6.12 (E(f2(a4,x1231),f2(f2(a4,x1232),x1231))),
% 5.97/6.12 inference(scs_inference,[],[11,13,111,97,74,77,112,17,18,4,6,2])).
% 5.97/6.12 cnf(124,plain,
% 5.97/6.12 (~E(f2(a3,f2(a3,f2(x1241,x1241))),f2(x1242,x1242))),
% 5.97/6.12 inference(scs_inference,[],[11,13,12,111,97,74,77,112,17,18,4,6,2,3])).
% 5.97/6.12 cnf(127,plain,
% 5.97/6.12 (E(f2(x1271,f2(x1272,x1272)),f2(x1271,f2(x1273,x1273)))),
% 5.97/6.12 inference(scs_inference,[],[11,13,22,12,111,97,74,77,112,17,18,4,6,2,3,16,5])).
% 5.97/6.12 cnf(128,plain,
% 5.97/6.12 (~P1(f2(a3,f2(a3,f2(x1281,x1281))),f2(x1282,x1282))),
% 5.97/6.12 inference(scs_inference,[],[24,124,18])).
% 5.97/6.12 cnf(129,plain,
% 5.97/6.12 (~E(f2(a3,f2(a3,f2(x1291,x1291))),f2(x1292,x1292))),
% 5.97/6.12 inference(rename_variables,[],[124])).
% 5.97/6.12 cnf(130,plain,
% 5.97/6.12 (P1(f2(x1301,x1301),x1302)),
% 5.97/6.12 inference(rename_variables,[],[24])).
% 5.97/6.12 cnf(132,plain,
% 5.97/6.12 (~E(a3,f2(x1321,x1321))),
% 5.97/6.12 inference(scs_inference,[],[24,110,124,18,4])).
% 5.97/6.12 cnf(134,plain,
% 5.97/6.12 (~E(f2(x1341,x1341),f2(a3,f2(a3,a4)))),
% 5.97/6.12 inference(scs_inference,[],[24,130,104,110,124,18,4,6])).
% 5.97/6.12 cnf(137,plain,
% 5.97/6.12 (~E(f2(x1371,x1371),f2(f2(a3,f2(a3,a4)),a4))),
% 5.97/6.12 inference(scs_inference,[],[24,130,19,104,110,124,129,98,18,4,6,2,3])).
% 5.97/6.12 cnf(139,plain,
% 5.97/6.12 (E(f2(f2(x1391,x1391),x1392),f2(x1391,x1391))),
% 5.97/6.12 inference(scs_inference,[],[13,24,18])).
% 5.97/6.12 cnf(143,plain,
% 5.97/6.12 (E(f2(f2(f2(x1431,x1432),x1431),x1433),f2(a4,x1433))),
% 5.97/6.12 inference(scs_inference,[],[13,24,30,18,4])).
% 5.97/6.12 cnf(144,plain,
% 5.97/6.12 (E(f2(x1441,f2(f2(x1442,x1443),x1442)),f2(x1441,a4))),
% 5.97/6.12 inference(scs_inference,[],[13,24,30,18,4,5])).
% 5.97/6.12 cnf(147,plain,
% 5.97/6.12 (P1(f2(f2(x1471,a4),f2(x1472,a4)),f2(f2(x1471,x1472),f2(x1473,x1473)))),
% 5.97/6.12 inference(scs_inference,[],[14,20,13,24,95,30,116,18,4,5,6,7])).
% 5.97/6.12 cnf(150,plain,
% 5.97/6.12 (E(a4,f2(f2(x1501,x1502),x1501))),
% 5.97/6.12 inference(scs_inference,[],[14,20,13,24,95,30,116,18,4,5,6,7,2])).
% 5.97/6.12 cnf(151,plain,
% 5.97/6.12 (E(f2(f2(x1511,x1512),x1511),f2(x1513,x1513))),
% 5.97/6.12 inference(scs_inference,[],[14,20,13,24,19,95,30,116,18,4,5,6,7,2,3])).
% 5.97/6.12 cnf(152,plain,
% 5.97/6.12 (E(f2(x1521,x1521),f2(f2(x1521,x1521),x1522))),
% 5.97/6.12 inference(scs_inference,[],[13,24,18])).
% 5.97/6.12 cnf(156,plain,
% 5.97/6.12 (~E(a3,a4)),
% 5.97/6.12 inference(scs_inference,[],[13,24,87,18,4])).
% 5.97/6.12 cnf(158,plain,
% 5.97/6.12 (P1(f2(f2(x1581,x1581),f2(x1582,x1583)),f2(f2(x1583,x1582),x1583))),
% 5.97/6.12 inference(scs_inference,[],[14,13,24,119,87,18,4,6])).
% 5.97/6.12 cnf(161,plain,
% 5.97/6.12 (P1(f2(f2(x1611,x1611),x1612),f2(x1613,x1613))),
% 5.97/6.12 inference(scs_inference,[],[14,22,13,24,19,119,87,18,4,6,7])).
% 5.97/6.12 cnf(162,plain,
% 5.97/6.12 (~E(f2(f2(a3,f2(a3,a4)),a4),f2(x1621,x1621))),
% 5.97/6.12 inference(scs_inference,[],[14,22,13,24,19,119,137,87,18,4,6,7,2])).
% 5.97/6.12 cnf(163,plain,
% 5.97/6.12 (~E(f2(a1,f2(a3,f2(a4,x1631))),f2(x1632,x1632))),
% 5.97/6.12 inference(scs_inference,[],[12,14,22,13,24,19,119,137,87,114,18,4,6,7,2,3])).
% 5.97/6.12 cnf(165,plain,
% 5.97/6.12 (~P1(f2(a3,f2(a3,a4)),f2(x1651,x1651))),
% 5.97/6.12 inference(scs_inference,[],[24,134,18])).
% 5.97/6.12 cnf(168,plain,
% 5.97/6.12 (E(f2(a4,x1681),f2(f2(f2(x1682,x1682),x1683),x1681))),
% 5.97/6.12 inference(scs_inference,[],[24,134,44,18,4])).
% 5.97/6.12 cnf(169,plain,
% 5.97/6.12 (E(f2(x1691,a4),f2(x1691,f2(f2(x1692,x1692),x1693)))),
% 5.97/6.12 inference(scs_inference,[],[24,134,44,18,4,5])).
% 5.97/6.12 cnf(172,plain,
% 5.97/6.12 (~P1(a1,f2(a3,f2(x1721,x1721)))),
% 5.97/6.12 inference(scs_inference,[],[13,28,25,24,134,44,91,18,4,5,6,7])).
% 5.97/6.12 cnf(174,plain,
% 5.97/6.12 (E(f2(x1741,x1741),f2(f2(x1742,x1743),x1742))),
% 5.97/6.12 inference(scs_inference,[],[13,28,25,24,151,134,44,91,18,4,5,6,7,2])).
% 5.97/6.12 cnf(175,plain,
% 5.97/6.12 (~E(f2(f2(a3,f2(a3,a4)),f2(x1751,x1751)),f2(x1752,x1752))),
% 5.97/6.12 inference(scs_inference,[],[13,28,25,24,151,162,134,44,95,91,18,4,5,6,7,2,3])).
% 5.97/6.12 cnf(178,plain,
% 5.97/6.12 (E(f2(f2(f2(x1781,x1781),x1782),f2(x1783,x1783)),a4)),
% 5.97/6.12 inference(scs_inference,[],[13,28,25,24,151,161,162,134,44,95,91,18,4,5,6,7,2,3,32,16])).
% 5.97/6.12 cnf(180,plain,
% 5.97/6.12 (~E(f2(a1,f2(a3,a4)),a4)),
% 5.97/6.12 inference(scs_inference,[],[13,28,25,24,151,161,162,134,44,95,91,18,4,5,6,7,2,3,32,16,17])).
% 5.97/6.12 cnf(182,plain,
% 5.97/6.12 (~P1(a3,a4)),
% 5.97/6.12 inference(scs_inference,[],[42,11,18])).
% 5.97/6.12 cnf(185,plain,
% 5.97/6.12 (~E(f2(a3,f2(a3,a4)),f2(x1851,x1851))),
% 5.97/6.12 inference(scs_inference,[],[175,42,11,18,4])).
% 5.97/6.12 cnf(186,plain,
% 5.97/6.12 (~E(f2(f2(a3,f2(a3,a4)),f2(x1861,x1861)),f2(x1862,x1862))),
% 5.97/6.12 inference(rename_variables,[],[175])).
% 5.97/6.12 cnf(187,plain,
% 5.97/6.12 (P1(f2(f2(x1871,f2(x1872,x1872)),x1873),f2(x1871,a4))),
% 5.97/6.12 inference(scs_inference,[],[13,28,175,42,11,18,4,7])).
% 5.97/6.12 cnf(188,plain,
% 5.97/6.12 (P1(f2(x1881,x1882),x1881)),
% 5.97/6.12 inference(rename_variables,[],[13])).
% 5.97/6.12 cnf(191,plain,
% 5.97/6.12 (~E(f2(x1911,x1911),f2(f2(a3,f2(a3,a4)),f2(x1912,x1912)))),
% 5.97/6.12 inference(scs_inference,[],[13,188,28,175,186,42,172,11,18,4,7,6,2])).
% 5.97/6.12 cnf(192,plain,
% 5.97/6.12 (E(f2(x1921,x1921),f2(f2(f2(x1922,x1922),x1923),a4))),
% 5.97/6.12 inference(scs_inference,[],[13,188,28,174,175,186,42,172,11,18,4,7,6,2,3])).
% 5.97/6.12 cnf(195,plain,
% 5.97/6.12 (~P1(f2(a1,f2(a3,a4)),a4)),
% 5.97/6.12 inference(scs_inference,[],[180,11,18])).
% 5.97/6.12 cnf(198,plain,
% 5.97/6.12 (E(f2(f2(f2(x1981,x1981),x1982),x1983),f2(a4,x1983))),
% 5.97/6.12 inference(scs_inference,[],[180,72,11,18,4])).
% 5.97/6.12 cnf(199,plain,
% 5.97/6.12 (P1(f2(f2(x1991,x1991),f2(x1992,x1992)),f2(a4,x1992))),
% 5.97/6.12 inference(scs_inference,[],[29,158,180,72,11,18,4,7])).
% 5.97/6.12 cnf(202,plain,
% 5.97/6.12 (P1(f2(f2(x2021,x2022),a4),f2(f2(x2021,x2022),x2022))),
% 5.97/6.12 inference(scs_inference,[],[14,29,28,158,180,72,11,18,4,7,6])).
% 5.97/6.12 cnf(205,plain,
% 5.97/6.12 (E(f2(a4,x2051),f2(f2(f2(x2052,x2053),x2052),x2051))),
% 5.97/6.12 inference(scs_inference,[],[14,29,28,158,143,180,72,11,18,4,7,6,2])).
% 5.97/6.12 cnf(208,plain,
% 5.97/6.12 (~P1(f2(f2(a3,f2(a3,a4)),f2(x2081,x2081)),f2(x2082,x2082))),
% 5.97/6.12 inference(scs_inference,[],[24,191,18])).
% 5.97/6.12 cnf(209,plain,
% 5.97/6.12 (~E(f2(x2091,x2091),f2(f2(a3,f2(a3,a4)),f2(x2092,x2092)))),
% 5.97/6.12 inference(rename_variables,[],[191])).
% 5.97/6.12 cnf(212,plain,
% 5.97/6.12 (~P1(f2(a3,f2(a3,a4)),f2(f2(x2121,x2121),a4))),
% 5.97/6.12 inference(scs_inference,[],[29,24,191,165,18,7])).
% 5.97/6.12 cnf(214,plain,
% 5.97/6.12 (E(f2(f2(x2141,x2141),x2142),f2(a4,x2142))),
% 5.97/6.12 inference(rename_variables,[],[29])).
% 5.97/6.12 cnf(215,plain,
% 5.97/6.12 (~E(f2(f2(x2151,x2151),x2152),f2(a1,f2(a3,a4)))),
% 5.97/6.12 inference(scs_inference,[],[29,22,24,191,165,195,18,7,6])).
% 5.97/6.12 cnf(220,plain,
% 5.97/6.12 (~E(f2(x2201,x2201),a1)),
% 5.97/6.12 inference(scs_inference,[],[29,214,22,24,191,209,165,163,195,18,7,6,2,3,4])).
% 5.97/6.12 cnf(224,plain,
% 5.97/6.12 (P1(f2(f2(x2241,x2241),f2(x2242,x2242)),f2(a4,x2242))),
% 5.97/6.12 inference(rename_variables,[],[199])).
% 5.97/6.12 cnf(227,plain,
% 5.97/6.12 (E(f2(f2(f2(x2271,a1),f2(x2272,a1)),x2273),f2(a4,x2273))),
% 5.97/6.12 inference(scs_inference,[],[24,199,63,18,4])).
% 5.97/6.12 cnf(228,plain,
% 5.97/6.12 (E(f2(x2281,a4),f2(x2281,f2(f2(x2282,x2283),x2282)))),
% 5.97/6.12 inference(scs_inference,[],[24,199,150,63,18,4,5])).
% 5.97/6.12 cnf(229,plain,
% 5.97/6.12 (P1(f2(f2(x2291,x2291),x2292),f2(a4,x2292))),
% 5.97/6.12 inference(scs_inference,[],[20,29,24,199,150,63,18,4,5,7])).
% 5.97/6.12 cnf(231,plain,
% 5.97/6.12 (~P1(f2(f2(a3,f2(a3,a4)),f2(x2311,x2311)),f2(a4,x2312))),
% 5.97/6.12 inference(scs_inference,[],[20,29,28,24,199,150,63,71,18,4,5,7,6])).
% 5.97/6.12 cnf(232,plain,
% 5.97/6.12 (E(f2(x2321,f2(x2322,x2322)),f2(x2321,a4))),
% 5.97/6.12 inference(rename_variables,[],[28])).
% 5.97/6.12 cnf(233,plain,
% 5.97/6.12 (E(f2(f2(f2(x2331,x2331),x2332),a4),f2(x2333,x2333))),
% 5.97/6.12 inference(scs_inference,[],[20,29,28,24,199,192,150,63,71,18,4,5,7,6,2])).
% 5.97/6.12 cnf(234,plain,
% 5.97/6.12 (E(f2(f2(x2341,x2341),f2(x2342,x2342)),f2(a4,a4))),
% 5.97/6.12 inference(scs_inference,[],[20,29,28,232,24,199,192,150,63,71,18,4,5,7,6,2,3])).
% 5.97/6.12 cnf(237,plain,
% 5.97/6.12 (E(f2(f2(f2(x2371,x2371),f2(x2372,x2372)),f2(a4,x2372)),a4)),
% 5.97/6.12 inference(scs_inference,[],[20,29,28,232,24,199,224,192,150,63,71,18,4,5,7,6,2,3,16])).
% 5.97/6.12 cnf(242,plain,
% 5.97/6.12 (E(f2(a4,a4),f2(f2(a4,f2(x2421,x2421)),x2422))),
% 5.97/6.12 inference(scs_inference,[],[24,187,18])).
% 5.97/6.12 cnf(246,plain,
% 5.97/6.12 (P1(f2(f2(f2(x2461,x2461),a4),f2(x2462,a4)),a4)),
% 5.97/6.12 inference(scs_inference,[],[30,24,147,187,18,7])).
% 5.97/6.12 cnf(248,plain,
% 5.97/6.12 (E(f2(f2(x2481,x2482),x2481),a4)),
% 5.97/6.12 inference(rename_variables,[],[30])).
% 5.97/6.12 cnf(249,plain,
% 5.97/6.12 (P1(f2(x2491,a4),f2(x2491,f2(x2492,x2492)))),
% 5.97/6.12 inference(scs_inference,[],[20,30,28,24,147,187,18,7,6])).
% 5.97/6.12 cnf(251,plain,
% 5.97/6.12 (~E(f2(a1,f2(a3,a4)),f2(f2(x2511,x2511),x2512))),
% 5.97/6.12 inference(scs_inference,[],[20,30,28,24,147,215,187,18,7,6,2])).
% 5.97/6.12 cnf(252,plain,
% 5.97/6.12 (~E(a3,f2(f2(x2521,x2522),x2521))),
% 5.97/6.12 inference(scs_inference,[],[20,30,248,28,24,147,215,187,156,18,7,6,2,3])).
% 5.97/6.12 cnf(253,plain,
% 5.97/6.12 (~E(a1,f2(x2531,x2531))),
% 5.97/6.12 inference(scs_inference,[],[20,30,248,28,24,147,215,187,156,18,7,6,2,3,4])).
% 5.97/6.12 cnf(254,plain,
% 5.97/6.12 (E(f2(x2541,a4),f2(x2541,f2(f2(x2542,a1),f2(x2543,a1))))),
% 5.97/6.12 inference(scs_inference,[],[20,30,248,28,24,147,215,187,156,79,18,7,6,2,3,4,5])).
% 5.97/6.12 cnf(258,plain,
% 5.97/6.12 (E(f2(a4,x2581),f2(f2(x2582,a1),x2581))),
% 5.97/6.12 inference(scs_inference,[],[246,51,11,18,4])).
% 5.97/6.12 cnf(259,plain,
% 5.97/6.12 (~P1(f2(f2(a3,f2(a3,a4)),f2(x2591,x2591)),f2(f2(x2592,x2592),x2593))),
% 5.97/6.12 inference(scs_inference,[],[29,231,246,51,11,18,4,7])).
% 5.97/6.12 cnf(261,plain,
% 5.97/6.12 (~E(f2(f2(x2611,x2611),x2612),a3)),
% 5.97/6.12 inference(scs_inference,[],[29,22,231,246,51,182,11,18,4,7,6])).
% 5.97/6.12 cnf(262,plain,
% 5.97/6.12 (E(f2(a4,a4),f2(f2(x2621,x2621),f2(x2622,x2622)))),
% 5.97/6.12 inference(scs_inference,[],[29,22,234,231,246,51,182,11,18,4,7,6,2])).
% 5.97/6.12 cnf(263,plain,
% 5.97/6.12 (~E(f2(a3,f2(a3,a4)),f2(f2(x2631,x2632),x2631))),
% 5.97/6.12 inference(scs_inference,[],[33,29,22,30,234,231,246,51,182,11,18,4,7,6,2,3])).
% 5.97/6.12 cnf(268,plain,
% 5.97/6.12 (~P1(f2(a1,f2(a3,a4)),f2(f2(x2681,x2681),f2(x2681,x2681)))),
% 5.97/6.12 inference(scs_inference,[],[24,251,165,17,18])).
% 5.97/6.12 cnf(273,plain,
% 5.97/6.12 (~E(f2(a3,f2(a3,a4)),f2(f2(x2731,x2732),x2731))),
% 6.07/6.12 inference(rename_variables,[],[263])).
% 6.07/6.12 cnf(274,plain,
% 6.07/6.12 (P1(f2(f2(x2741,x2742),x2741),a4)),
% 6.07/6.12 inference(scs_inference,[],[20,30,24,263,251,165,17,18,4,7])).
% 6.07/6.12 cnf(275,plain,
% 6.07/6.12 (P1(x2751,x2751)),
% 6.07/6.12 inference(rename_variables,[],[20])).
% 6.07/6.12 cnf(278,plain,
% 6.07/6.12 (~E(f2(f2(x2781,x2782),x2781),f2(a3,f2(a3,a4)))),
% 6.07/6.12 inference(scs_inference,[],[20,275,30,24,263,273,251,165,195,17,18,4,7,6,2])).
% 6.07/6.12 cnf(279,plain,
% 6.07/6.12 (E(f2(f2(x2791,x2792),x2791),f2(a4,x2793))),
% 6.07/6.12 inference(scs_inference,[],[20,275,30,24,263,273,251,70,165,195,17,18,4,7,6,2,3])).
% 6.07/6.12 cnf(280,plain,
% 6.07/6.12 (E(a4,f2(f2(f2(x2801,x2801),a4),f2(x2802,a4)))),
% 6.07/6.12 inference(scs_inference,[],[246,11,18])).
% 6.07/6.12 cnf(283,plain,
% 6.07/6.12 (E(f2(f2(x2831,a1),x2832),f2(f2(x2833,x2833),x2832))),
% 6.07/6.12 inference(scs_inference,[],[38,246,11,18,4])).
% 6.07/6.12 cnf(284,plain,
% 6.07/6.12 (P1(f2(f2(x2841,x2841),x2842),f2(f2(x2843,x2844),x2843))),
% 6.07/6.12 inference(scs_inference,[],[22,38,150,246,11,18,4,7])).
% 6.07/6.12 cnf(285,plain,
% 6.07/6.12 (P1(f2(f2(x2851,x2851),f2(x2852,x2852)),x2853)),
% 6.07/6.12 inference(scs_inference,[],[22,24,262,38,150,246,11,18,4,7,6])).
% 6.07/6.12 cnf(287,plain,
% 6.07/6.12 (E(f2(f2(a4,f2(x2871,x2871)),x2872),f2(a4,a4))),
% 6.07/6.12 inference(scs_inference,[],[22,24,262,242,38,150,246,11,18,4,7,6,2])).
% 6.07/6.12 cnf(288,plain,
% 6.07/6.12 (~E(f2(a3,f2(a3,a4)),f2(f2(f2(x2881,x2881),x2882),f2(x2883,x2883)))),
% 6.07/6.12 inference(scs_inference,[],[22,33,24,262,242,178,38,150,246,11,18,4,7,6,2,3])).
% 6.07/6.12 cnf(291,plain,
% 6.07/6.12 (E(f2(f2(f2(x2911,x2911),x2912),f2(a4,x2912)),a4)),
% 6.07/6.12 inference(scs_inference,[],[22,33,24,262,242,229,254,178,38,150,246,11,18,4,7,6,2,3,32,16])).
% 6.07/6.12 cnf(297,plain,
% 6.07/6.12 (~P1(f2(a3,f2(a3,a4)),f2(f2(x2971,x2972),x2971))),
% 6.07/6.13 inference(scs_inference,[],[35,30,285,278,18,7])).
% 6.07/6.13 cnf(298,plain,
% 6.07/6.13 (~E(f2(f2(x2981,x2981),x2982),f2(f2(a3,f2(a3,a4)),f2(x2983,x2983)))),
% 6.07/6.13 inference(scs_inference,[],[35,30,285,284,259,278,18,7,6])).
% 6.07/6.13 cnf(301,plain,
% 6.07/6.13 (~E(f2(f2(f2(x3011,x3011),x3012),f2(x3013,x3013)),f2(a3,f2(a3,a4)))),
% 6.07/6.13 inference(scs_inference,[],[35,30,285,284,259,288,278,18,7,6,2])).
% 6.07/6.13 cnf(302,plain,
% 6.07/6.13 (~E(f2(f2(f2(x3021,x3021),a4),f2(x3022,a4)),f2(a3,f2(a3,a4)))),
% 6.07/6.13 inference(scs_inference,[],[35,30,285,284,90,259,288,278,280,18,7,6,2,3])).
% 6.07/6.13 cnf(303,plain,
% 6.07/6.13 (E(f2(x3031,f2(a4,x3032)),f2(x3031,f2(x3033,x3033)))),
% 6.07/6.13 inference(scs_inference,[],[35,30,285,284,90,259,288,278,280,69,18,7,6,2,3,5])).
% 6.07/6.13 cnf(306,plain,
% 6.07/6.13 (E(f2(f2(x3061,x3061),f2(x3062,x3062)),f2(x3063,x3063))),
% 6.07/6.13 inference(scs_inference,[],[24,285,231,17,18])).
% 6.07/6.13 cnf(308,plain,
% 6.07/6.13 (P1(f2(x3081,x3081),x3082)),
% 6.07/6.13 inference(rename_variables,[],[24])).
% 6.07/6.13 cnf(310,plain,
% 6.07/6.13 (~E(f2(x3101,x3101),f2(a1,f2(a3,a4)))),
% 6.07/6.13 inference(scs_inference,[],[24,308,268,285,231,17,18,6])).
% 6.07/6.13 cnf(312,plain,
% 6.07/6.13 (E(f2(x3121,x3121),f2(x3122,a1))),
% 6.07/6.13 inference(scs_inference,[],[24,308,38,268,285,231,17,18,6,2])).
% 6.07/6.13 cnf(313,plain,
% 6.07/6.13 (E(f2(f2(x3131,x3132),x3131),f2(f2(f2(x3133,x3133),a4),f2(x3134,a4)))),
% 6.07/6.13 inference(scs_inference,[],[24,308,38,30,268,285,231,280,17,18,6,2,3])).
% 6.07/6.13 cnf(314,plain,
% 6.07/6.13 (E(f2(x3141,x3141),f2(f2(x3142,x3142),f2(x3143,x3143)))),
% 6.07/6.13 inference(scs_inference,[],[24,285,18])).
% 6.07/6.13 cnf(316,plain,
% 6.07/6.13 (P1(f2(x3161,x3161),x3162)),
% 6.07/6.13 inference(rename_variables,[],[24])).
% 6.07/6.13 cnf(318,plain,
% 6.07/6.13 (P1(f2(f2(x3181,x3181),a4),x3182)),
% 6.07/6.13 inference(scs_inference,[],[24,316,28,285,18,6])).
% 6.07/6.13 cnf(322,plain,
% 6.07/6.13 (~E(f2(a3,f2(a3,a4)),f2(f2(x3221,a1),f2(x3222,x3222)))),
% 6.07/6.13 inference(scs_inference,[],[24,316,28,298,283,185,285,18,6,2,3])).
% 6.07/6.13 cnf(325,plain,
% 6.07/6.13 (E(f2(f2(x3251,x3251),x3252),f2(f2(x3253,a1),x3252))),
% 6.07/6.13 inference(scs_inference,[],[24,316,28,298,283,185,312,285,18,6,2,3,4])).
% 6.07/6.13 cnf(326,plain,
% 6.07/6.13 (~E(f2(f2(a3,f2(a3,a4)),f2(a3,a4)),a4)),
% 6.07/6.13 inference(scs_inference,[],[24,316,28,298,283,185,202,312,56,285,18,6,2,3,4,7])).
% 6.07/6.13 cnf(328,plain,
% 6.07/6.13 (~P1(f2(a3,f2(a3,a4)),f2(a3,a4))),
% 6.07/6.13 inference(scs_inference,[],[24,316,28,298,283,185,202,312,56,285,18,6,2,3,4,7,16])).
% 6.07/6.13 cnf(330,plain,
% 6.07/6.13 (E(f2(f2(x3301,a4),f2(x3301,f2(x3302,x3302))),a4)),
% 6.07/6.13 inference(scs_inference,[],[249,16])).
% 6.07/6.13 cnf(336,plain,
% 6.07/6.13 (~P1(f2(a3,f2(a3,a4)),f2(f2(a4,x3361),f2(x3362,x3362)))),
% 6.07/6.13 inference(scs_inference,[],[28,297,249,318,261,16,18,7])).
% 6.07/6.13 cnf(339,plain,
% 6.07/6.13 (~E(f2(x3391,a1),f2(a3,f2(a3,f2(x3392,x3392))))),
% 6.07/6.13 inference(scs_inference,[],[28,297,249,88,318,128,261,16,18,7,6])).
% 6.07/6.13 cnf(341,plain,
% 6.07/6.13 (E(f2(x3411,f2(x3412,x3412)),f2(x3411,f2(a4,x3413)))),
% 6.07/6.13 inference(scs_inference,[],[28,297,303,249,88,318,128,261,16,18,7,6,2])).
% 6.07/6.13 cnf(342,plain,
% 6.07/6.13 (~E(f2(a4,f2(x3421,x3421)),f2(a3,f2(a3,a4)))),
% 6.07/6.13 inference(scs_inference,[],[29,28,301,297,303,249,88,318,128,261,16,18,7,6,2,3])).
% 6.07/6.13 cnf(345,plain,
% 6.07/6.13 (~P1(f2(a3,f2(a3,a4)),f2(f2(a1,a1),f2(x3451,x3451)))),
% 6.07/6.13 inference(scs_inference,[],[322,285,18])).
% 6.07/6.13 cnf(346,plain,
% 6.07/6.13 (~E(f2(a3,f2(a3,a4)),f2(f2(x3461,a1),f2(x3462,x3462)))),
% 6.07/6.13 inference(rename_variables,[],[322])).
% 6.07/6.13 cnf(350,plain,
% 6.07/6.13 (P1(f2(a4,x3501),x3502)),
% 6.07/6.13 inference(rename_variables,[],[120])).
% 6.07/6.13 cnf(351,plain,
% 6.07/6.13 (~E(f2(f2(x3511,a1),f2(x3512,x3512)),f2(a3,f2(a3,a4)))),
% 6.07/6.13 inference(scs_inference,[],[25,322,346,120,285,18,6,2])).
% 6.07/6.13 cnf(352,plain,
% 6.07/6.13 (E(f2(f2(x3521,x3522),x3521),f2(f2(x3523,a1),f2(x3524,a1)))),
% 6.07/6.13 inference(scs_inference,[],[25,30,322,346,120,79,285,18,6,2,3])).
% 6.07/6.13 cnf(353,plain,
% 6.07/6.13 (E(f2(x3531,f2(x3532,a1)),f2(x3531,f2(x3533,x3533)))),
% 6.07/6.13 inference(scs_inference,[],[25,38,30,322,346,120,79,285,18,6,2,3,5])).
% 6.07/6.13 cnf(354,plain,
% 6.07/6.13 (E(f2(f2(a4,x3541),x3542),a4)),
% 6.07/6.13 inference(scs_inference,[],[25,38,30,322,346,120,350,79,285,18,6,2,3,5,16])).
% 6.07/6.13 cnf(356,plain,
% 6.07/6.13 (P1(f2(x3561,a1),a4)),
% 6.07/6.13 inference(scs_inference,[],[25,38,30,322,346,120,350,75,79,285,18,6,2,3,5,16,7])).
% 6.07/6.13 cnf(358,plain,
% 6.07/6.13 (~P1(a3,f2(a4,a4))),
% 6.07/6.13 inference(scs_inference,[],[132,120,18])).
% 6.07/6.13 cnf(362,plain,
% 6.07/6.13 (P1(f2(f2(x3621,x3622),x3621),f2(x3623,a1))),
% 6.07/6.13 inference(scs_inference,[],[132,274,120,51,18,7])).
% 6.07/6.13 cnf(363,plain,
% 6.07/6.13 (P1(f2(f2(f2(x3631,x3631),x3632),a4),a4)),
% 6.07/6.13 inference(scs_inference,[],[28,132,274,120,51,18,7,6])).
% 6.07/6.13 cnf(366,plain,
% 6.07/6.13 (E(f2(x3661,f2(x3662,x3662)),f2(x3661,f2(x3663,a1)))),
% 6.07/6.13 inference(scs_inference,[],[28,353,132,274,120,51,18,7,6,2])).
% 6.07/6.13 cnf(372,plain,
% 6.07/6.13 (~P1(f2(a1,f2(a3,a4)),f2(a4,a4))),
% 6.07/6.13 inference(scs_inference,[],[310,120,18])).
% 6.07/6.13 cnf(376,plain,
% 6.07/6.13 (~P1(f2(a3,f2(a3,a4)),f2(a3,f2(x3761,x3761)))),
% 6.07/6.13 inference(scs_inference,[],[28,328,310,120,18,7])).
% 6.07/6.13 cnf(377,plain,
% 6.07/6.13 (E(f2(x3771,f2(x3772,x3772)),f2(x3771,a4))),
% 6.07/6.13 inference(rename_variables,[],[28])).
% 6.07/6.13 cnf(378,plain,
% 6.07/6.13 (~E(f2(f2(x3781,x3782),x3781),f2(f2(a3,f2(a3,a4)),f2(x3783,x3783)))),
% 6.07/6.13 inference(scs_inference,[],[28,328,310,362,259,120,18,7,6])).
% 6.07/6.13 cnf(381,plain,
% 6.07/6.13 (~E(f2(a3,f2(a3,a4)),f2(f2(f2(x3811,x3811),a4),f2(x3812,a4)))),
% 6.07/6.13 inference(scs_inference,[],[28,328,302,310,362,259,120,18,7,6,2])).
% 6.07/6.13 cnf(385,plain,
% 6.07/6.13 (E(f2(f2(f2(a4,x3851),x3852),x3853),f2(a4,x3853))),
% 6.07/6.13 inference(scs_inference,[],[28,377,328,351,302,310,362,354,259,120,18,7,6,2,3,4])).
% 6.07/6.13 cnf(386,plain,
% 6.07/6.13 (E(f2(f2(a4,a4),a4),f2(f2(x3861,x3861),x3862))),
% 6.07/6.13 inference(scs_inference,[],[284,318,18])).
% 6.07/6.13 cnf(392,plain,
% 6.07/6.13 (P1(f2(f2(x3921,x3921),x3922),f2(a4,f2(x3923,x3923)))),
% 6.07/6.13 inference(scs_inference,[],[29,381,161,284,318,18,4,7])).
% 6.07/6.13 cnf(395,plain,
% 6.07/6.13 (~E(f2(a3,a4),f2(a3,f2(a3,a4)))),
% 6.07/6.13 inference(scs_inference,[],[29,381,376,161,284,249,318,18,4,7,6])).
% 6.07/6.13 cnf(398,plain,
% 6.07/6.13 (E(f2(f2(f2(x3981,x3981),a4),f2(x3982,a4)),f2(f2(x3983,x3984),x3983))),
% 6.07/6.13 inference(scs_inference,[],[29,313,381,376,161,284,249,318,18,4,7,6,2])).
% 6.07/6.13 cnf(399,plain,
% 6.07/6.13 (E(f2(f2(f2(x3991,x3991),f2(x3992,x3992)),f2(a4,x3992)),f2(a4,x3993))),
% 6.07/6.13 inference(scs_inference,[],[29,313,381,376,237,161,284,249,318,70,18,4,7,6,2,3])).
% 6.07/6.13 cnf(400,plain,
% 6.07/6.13 (~E(a4,f2(a3,a4))),
% 6.07/6.13 inference(scs_inference,[],[29,313,381,376,237,161,284,249,318,70,18,4,7,6,2,3,5])).
% 6.07/6.13 cnf(401,plain,
% 6.07/6.13 (E(f2(x4011,f2(f2(x4012,x4012),x4013)),f2(x4011,a4))),
% 6.07/6.13 inference(scs_inference,[],[72,5])).
% 6.07/6.13 cnf(402,plain,
% 6.07/6.13 (E(f2(a4,f2(x4021,x4021)),f2(f2(x4022,x4022),x4023))),
% 6.07/6.13 inference(scs_inference,[],[392,72,120,5,18])).
% 6.07/6.13 cnf(405,plain,
% 6.07/6.13 (E(f2(f2(x4051,x4051),x4052),f2(f2(a4,x4053),x4052))),
% 6.07/6.13 inference(scs_inference,[],[392,97,72,120,5,18,4])).
% 6.07/6.13 cnf(406,plain,
% 6.07/6.13 (P1(f2(x4061,a1),f2(f2(x4062,x4062),x4063))),
% 6.07/6.13 inference(scs_inference,[],[392,356,97,72,44,120,5,18,4,7])).
% 6.07/6.13 cnf(407,plain,
% 6.07/6.13 (P1(f2(f2(x4071,a1),x4072),f2(a4,f2(x4073,x4073)))),
% 6.07/6.13 inference(scs_inference,[],[325,392,356,97,72,44,120,5,18,4,7,6])).
% 6.07/6.13 cnf(409,plain,
% 6.07/6.13 (~E(f2(f2(a3,f2(a3,a4)),f2(x4091,x4091)),f2(f2(x4092,x4093),x4092))),
% 6.07/6.13 inference(scs_inference,[],[378,325,392,356,97,72,44,120,5,18,4,7,6,2])).
% 6.07/6.13 cnf(412,plain,
% 6.07/6.13 (E(f2(f2(x4121,a1),a4),a4)),
% 6.07/6.13 inference(scs_inference,[],[378,325,287,392,253,356,97,72,44,120,5,18,4,7,6,2,3,16])).
% 6.07/6.13 cnf(414,plain,
% 6.07/6.13 (E(f2(f2(x4141,a1),x4142),f2(a4,f2(x4143,x4143)))),
% 6.07/6.13 inference(scs_inference,[],[407,120,18])).
% 6.07/6.13 cnf(417,plain,
% 6.07/6.13 (~P1(f2(a1,f2(a3,a4)),f2(x4171,a1))),
% 6.07/6.13 inference(scs_inference,[],[38,372,407,120,18,7])).
% 6.07/6.13 cnf(419,plain,
% 6.07/6.13 (~E(f2(f2(x4191,a1),x4192),f2(f2(a3,f2(a3,a4)),f2(x4193,x4193)))),
% 6.07/6.13 inference(scs_inference,[],[38,372,407,231,120,18,7,6])).
% 6.07/6.13 cnf(422,plain,
% 6.07/6.13 (~E(f2(f2(x4221,x4221),x4222),f2(a3,a4))),
% 6.07/6.13 inference(scs_inference,[],[44,38,386,372,407,400,231,120,18,7,6,2,3])).
% 6.07/6.13 cnf(423,plain,
% 6.07/6.13 (~E(f2(f2(a1,f2(a3,a4)),f2(a4,a4)),a4)),
% 6.07/6.13 inference(scs_inference,[],[44,38,386,372,407,400,231,120,18,7,6,2,3,17])).
% 6.07/6.13 cnf(426,plain,
% 6.07/6.13 (E(f2(x4261,f2(f2(x4262,a1),a4)),f2(x4261,a4))),
% 6.07/6.13 inference(scs_inference,[],[412,5])).
% 6.07/6.13 cnf(427,plain,
% 6.07/6.13 (~P1(f2(a3,a4),f2(f2(x4271,x4271),a4))),
% 6.07/6.13 inference(scs_inference,[],[422,412,318,5,18])).
% 6.07/6.13 cnf(428,plain,
% 6.07/6.13 (~E(f2(f2(x4281,x4281),x4282),f2(a3,a4))),
% 6.07/6.13 inference(rename_variables,[],[422])).
% 6.07/6.13 cnf(431,plain,
% 6.07/6.13 (P1(f2(x4311,a1),f2(f2(a4,x4312),x4313))),
% 6.07/6.13 inference(scs_inference,[],[422,405,406,412,318,5,18,7])).
% 6.07/6.13 cnf(433,plain,
% 6.07/6.13 (~E(f2(x4331,a1),f2(a1,f2(a3,a4)))),
% 6.07/6.13 inference(scs_inference,[],[422,405,406,417,412,318,5,18,7,6])).
% 6.07/6.13 cnf(436,plain,
% 6.07/6.13 (~E(f2(a3,a4),f2(f2(x4361,x4361),x4362))),
% 6.07/6.13 inference(scs_inference,[],[422,428,405,406,417,412,318,5,18,7,6,2])).
% 6.07/6.13 cnf(437,plain,
% 6.07/6.13 (E(f2(f2(x4371,x4372),x4371),f2(f2(x4373,x4373),x4374))),
% 6.07/6.13 inference(scs_inference,[],[30,44,422,428,405,406,417,412,318,5,18,7,6,2,3])).
% 6.07/6.13 cnf(441,plain,
% 6.07/6.13 (~E(f2(f2(a3,f2(a3,a4)),f2(a3,a4)),f2(a4,x4411))),
% 6.07/6.13 inference(scs_inference,[],[363,202,71,11,18,7])).
% 6.07/6.13 cnf(443,plain,
% 6.07/6.13 (P1(f2(f2(a1,a1),x4431),f2(f2(a4,x4432),x4433))),
% 6.07/6.13 inference(scs_inference,[],[152,431,363,202,71,11,18,7,6])).
% 6.07/6.13 cnf(446,plain,
% 6.07/6.13 (E(f2(f2(x4461,x4461),x4462),f2(f2(x4463,x4464),x4463))),
% 6.07/6.13 inference(scs_inference,[],[152,437,431,363,202,71,11,18,7,6,2])).
% 6.07/6.13 cnf(447,plain,
% 6.07/6.13 (~E(f2(a3,f2(a3,a4)),f2(f2(f2(x4471,x4471),f2(x4472,x4472)),f2(a4,x4472)))),
% 6.07/6.13 inference(scs_inference,[],[47,152,437,399,431,363,202,71,11,18,7,6,2,3])).
% 6.07/6.13 cnf(454,plain,
% 6.07/6.13 (~P1(f2(a3,f2(a3,a4)),f2(f2(f2(x4541,x4541),x4542),f2(a4,x4542)))),
% 6.07/6.13 inference(scs_inference,[],[47,35,291,120,18,7])).
% 6.07/6.13 cnf(455,plain,
% 6.07/6.13 (~E(f2(f2(f2(x4551,x4551),f2(x4552,x4552)),x4553),f2(a3,a4))),
% 6.07/6.13 inference(scs_inference,[],[47,35,427,291,187,120,18,7,6])).
% 6.07/6.13 cnf(458,plain,
% 6.07/6.13 (~E(f2(a3,f2(a3,a4)),f2(f2(f2(x4581,x4581),x4582),f2(a4,x4582)))),
% 6.07/6.13 inference(scs_inference,[],[33,47,35,395,427,291,187,120,18,7,6,2,3])).
% 6.07/6.13 cnf(459,plain,
% 6.07/6.13 (E(f2(f2(x4591,a1),f2(x4592,x4592)),a4)),
% 6.07/6.13 inference(scs_inference,[],[33,47,35,395,427,291,187,88,120,18,7,6,2,3,16])).
% 6.07/6.13 cnf(461,plain,
% 6.07/6.13 (~E(f2(a3,a4),a4)),
% 6.07/6.13 inference(scs_inference,[],[33,47,35,395,427,291,187,88,120,18,7,6,2,3,16,5])).
% 6.07/6.13 cnf(463,plain,
% 6.07/6.13 (E(f2(x4631,f2(f2(x4632,a1),f2(x4633,x4633))),f2(x4631,a4))),
% 6.07/6.13 inference(scs_inference,[],[459,5])).
% 6.07/6.13 cnf(464,plain,
% 6.07/6.13 (E(f2(f2(x4641,x4641),x4642),f2(a4,f2(x4643,x4643)))),
% 6.07/6.13 inference(scs_inference,[],[459,392,120,5,18])).
% 6.07/6.13 cnf(467,plain,
% 6.07/6.13 (P1(f2(f2(x4671,a1),f2(x4672,a1)),f2(f2(x4673,x4673),x4674))),
% 6.07/6.13 inference(scs_inference,[],[48,44,459,392,120,5,18,7])).
% 6.07/6.13 cnf(470,plain,
% 6.07/6.13 (E(f2(f2(a1,a1),x4701),f2(x4702,x4702))),
% 6.07/6.13 inference(scs_inference,[],[35,48,44,38,139,352,459,392,120,5,18,7,6,2,3])).
% 6.07/6.13 cnf(475,plain,
% 6.07/6.13 (E(f2(f2(a4,a1),f2(x4751,a1)),f2(f2(a1,a1),x4752))),
% 6.07/6.13 inference(scs_inference,[],[443,467,18])).
% 6.07/6.13 cnf(477,plain,
% 6.07/6.13 (P1(f2(f2(x4771,a1),f2(x4772,a1)),f2(f2(x4773,x4773),x4774))),
% 6.07/6.13 inference(rename_variables,[],[467])).
% 6.07/6.13 cnf(479,plain,
% 6.07/6.13 (P1(f2(f2(x4791,a1),f2(x4792,a1)),f2(x4793,x4793))),
% 6.07/6.13 inference(scs_inference,[],[38,443,467,477,18,7])).
% 6.07/6.13 cnf(482,plain,
% 6.07/6.13 (~E(f2(a3,a4),f2(f2(f2(x4821,x4821),f2(x4822,x4822)),x4823))),
% 6.07/6.13 inference(scs_inference,[],[38,455,443,467,477,18,7,2])).
% 6.07/6.13 cnf(483,plain,
% 6.07/6.13 (P1(f2(f2(x4831,a1),f2(x4832,x4832)),a4)),
% 6.07/6.13 inference(scs_inference,[],[48,38,127,455,443,467,477,18,7,2,6])).
% 6.07/6.13 cnf(490,plain,
% 6.07/6.13 (E(f2(f2(f2(x4901,a1),f2(x4902,x4902)),x4903),f2(a4,x4903))),
% 6.07/6.13 inference(scs_inference,[],[459,4])).
% 6.07/6.13 cnf(498,plain,
% 6.07/6.13 (E(f2(x4981,x4981),f2(f2(a1,a1),x4982))),
% 6.07/6.13 inference(scs_inference,[],[38,470,345,479,443,459,4,18,7,2])).
% 6.07/6.13 cnf(502,plain,
% 6.07/6.13 (~P1(f2(a3,a4),a4)),
% 6.07/6.13 inference(scs_inference,[],[51,461,11,5,18])).
% 6.07/6.13 cnf(505,plain,
% 6.07/6.13 (P1(f2(f2(x5051,a1),f2(x5052,a1)),f2(x5053,a1))),
% 6.07/6.13 inference(scs_inference,[],[51,48,461,11,5,18,7])).
% 6.07/6.13 cnf(506,plain,
% 6.07/6.13 (~E(f2(f2(x5061,a1),f2(x5062,a1)),f2(a1,f2(a3,a4)))),
% 6.07/6.13 inference(scs_inference,[],[51,48,461,479,417,11,5,18,7,6])).
% 6.07/6.13 cnf(510,plain,
% 6.07/6.13 (E(f2(f2(a4,a1),f2(x5101,a1)),f2(x5102,x5102))),
% 6.07/6.13 inference(scs_inference,[],[38,51,48,461,458,475,479,417,11,5,18,7,6,2,3])).
% 6.07/6.13 cnf(516,plain,
% 6.07/6.13 (E(f2(x5161,a1),f2(f2(a4,a1),f2(x5162,a1)))),
% 6.07/6.13 inference(scs_inference,[],[505,431,18])).
% 6.07/6.13 cnf(520,plain,
% 6.07/6.13 (P1(f2(f2(x5201,a1),f2(x5202,x5202)),f2(x5203,a1))),
% 6.07/6.13 inference(scs_inference,[],[51,505,483,431,18,7])).
% 6.07/6.13 cnf(521,plain,
% 6.07/6.13 (E(f2(x5211,x5211),f2(f2(a4,a1),f2(x5212,a1)))),
% 6.07/6.13 inference(scs_inference,[],[51,510,505,483,431,18,7,2])).
% 6.07/6.13 cnf(522,plain,
% 6.07/6.13 (P1(f2(f2(x5221,a1),f2(a4,x5222)),a4)),
% 6.07/6.13 inference(scs_inference,[],[51,48,341,510,505,483,431,18,7,2,6])).
% 6.07/6.13 cnf(525,plain,
% 6.07/6.13 (~E(f2(f2(a3,f2(a3,a4)),f2(a3,a4)),f2(f2(x5251,x5251),x5252))),
% 6.07/6.13 inference(scs_inference,[],[51,48,341,510,464,441,505,483,431,18,7,2,6,3])).
% 6.07/6.13 cnf(529,plain,
% 6.07/6.13 (E(f2(f2(a4,x5291),x5292),f2(f2(x5293,x5293),x5292))),
% 6.07/6.13 inference(scs_inference,[],[69,4])).
% 6.07/6.13 cnf(530,plain,
% 6.07/6.13 (~P1(f2(f2(a3,f2(a3,a4)),f2(a3,a4)),f2(f2(x5301,x5301),a4))),
% 6.07/6.13 inference(scs_inference,[],[525,69,318,4,18])).
% 6.07/6.13 cnf(531,plain,
% 6.07/6.13 (~E(f2(f2(a3,f2(a3,a4)),f2(a3,a4)),f2(f2(x5311,x5311),x5312))),
% 6.07/6.13 inference(rename_variables,[],[525])).
% 6.07/6.13 cnf(534,plain,
% 6.07/6.13 (~P1(a3,f2(f2(x5341,x5341),f2(x5342,x5342)))),
% 6.07/6.13 inference(scs_inference,[],[306,525,358,69,318,4,18,7])).
% 6.07/6.13 cnf(536,plain,
% 6.07/6.13 (~E(f2(f2(x5361,a1),f2(x5362,a1)),f2(a3,a4))),
% 6.07/6.13 inference(scs_inference,[],[48,306,525,358,502,69,318,4,18,7,6])).
% 6.07/6.13 cnf(537,plain,
% 6.07/6.13 (~E(f2(f2(x5371,x5371),x5372),f2(f2(a3,f2(a3,a4)),f2(a3,a4)))),
% 6.07/6.13 inference(scs_inference,[],[48,306,525,531,358,502,69,318,4,18,7,6,2])).
% 6.07/6.13 cnf(538,plain,
% 6.07/6.13 (~E(f2(f2(a3,f2(a3,a4)),f2(x5381,a1)),f2(f2(x5382,x5383),x5382))),
% 6.07/6.13 inference(scs_inference,[],[48,306,409,525,531,366,358,502,69,318,4,18,7,6,2,3])).
% 6.07/6.13 cnf(541,plain,
% 6.07/6.13 (~E(f2(a3,f2(a3,a4)),f2(f2(x5411,a1),x5412))),
% 6.07/6.13 inference(scs_inference,[],[538,4])).
% 6.07/6.13 cnf(543,plain,
% 6.07/6.13 (E(f2(f2(x5431,a1),f2(a4,x5432)),a4)),
% 6.07/6.13 inference(scs_inference,[],[538,522,11,4,18])).
% 6.07/6.13 cnf(546,plain,
% 6.07/6.13 (P1(f2(f2(x5461,a1),f2(x5462,x5462)),f2(f2(x5463,x5463),f2(x5464,x5464)))),
% 6.07/6.13 inference(scs_inference,[],[314,538,520,522,11,4,18,7])).
% 6.07/6.13 cnf(547,plain,
% 6.07/6.13 (E(f2(x5471,x5471),f2(f2(x5472,x5472),f2(x5473,x5473)))),
% 6.07/6.13 inference(rename_variables,[],[314])).
% 6.07/6.13 cnf(549,plain,
% 6.07/6.13 (E(f2(a4,x5491),f2(f2(x5492,x5493),x5492))),
% 6.07/6.13 inference(scs_inference,[],[314,538,279,520,522,11,4,18,7,2])).
% 6.07/6.13 cnf(550,plain,
% 6.07/6.13 (~E(f2(f2(x5501,a1),f2(x5502,a1)),f2(f2(a3,f2(a3,a4)),f2(a3,a4)))),
% 6.07/6.13 inference(scs_inference,[],[314,538,279,530,520,522,467,11,4,18,7,2,6])).
% 6.07/6.13 cnf(553,plain,
% 6.07/6.13 (E(f2(a4,f2(a4,x5531)),f2(f2(x5532,x5532),f2(x5533,x5533)))),
% 6.07/6.13 inference(scs_inference,[],[314,547,538,279,530,123,520,522,467,11,4,18,7,2,6,3])).
% 6.07/6.13 cnf(556,plain,
% 6.07/6.13 (P1(f2(x5561,a1),f2(a4,x5562))),
% 6.07/6.13 inference(scs_inference,[],[314,547,538,279,530,123,520,522,467,11,4,18,7,2,6,3,17])).
% 6.07/6.13 cnf(560,plain,
% 6.07/6.13 (E(a4,f2(f2(x5601,a1),f2(x5602,x5602)))),
% 6.07/6.13 inference(scs_inference,[],[534,483,11,17,18])).
% 6.07/6.13 cnf(564,plain,
% 6.07/6.13 (P1(f2(f2(x5641,a1),f2(x5642,x5642)),f2(f2(x5643,x5644),x5643))),
% 6.07/6.13 inference(scs_inference,[],[446,546,534,543,483,11,17,18,4,7])).
% 6.07/6.13 cnf(567,plain,
% 6.07/6.13 (P1(f2(f2(x5671,x5672),x5671),f2(f2(f2(x5673,x5673),x5674),f2(x5675,x5675)))),
% 6.07/6.13 inference(scs_inference,[],[446,546,398,534,543,147,483,11,17,18,4,7,6])).
% 6.07/6.13 cnf(573,plain,
% 6.07/6.13 (E(f2(f2(f2(x5731,x5732),x5731),f2(x5733,a1)),a4)),
% 6.07/6.13 inference(scs_inference,[],[446,39,546,541,398,463,534,543,147,362,483,11,17,18,4,7,6,2,3,16])).
% 6.07/6.13 cnf(575,plain,
% 6.07/6.13 (E(f2(x5751,f2(f2(x5752,a1),f2(a4,x5753))),f2(x5751,a4))),
% 6.07/6.13 inference(scs_inference,[],[446,39,546,541,398,463,534,543,147,362,483,11,17,18,4,7,6,2,3,16,5])).
% 6.07/6.13 cnf(576,plain,
% 6.07/6.13 (E(f2(f2(f2(x5761,x5761),a1),f2(x5762,x5762)),f2(f2(a1,x5763),a1))),
% 6.07/6.13 inference(scs_inference,[],[567,520,18])).
% 6.07/6.13 cnf(582,plain,
% 6.07/6.13 (~P1(f2(f2(a3,f2(a3,a4)),f2(x5821,x5821)),a4)),
% 6.07/6.13 inference(scs_inference,[],[44,567,208,541,520,18,4,7])).
% 6.07/6.13 cnf(583,plain,
% 6.07/6.13 (~P1(f2(f2(a3,f2(a3,a4)),f2(x5831,x5831)),f2(x5832,x5832))),
% 6.07/6.13 inference(rename_variables,[],[208])).
% 6.07/6.13 cnf(588,plain,
% 6.07/6.13 (E(f2(a4,x5881),f2(f2(f2(x5882,a1),f2(x5883,x5883)),x5881))),
% 6.07/6.13 inference(scs_inference,[],[44,567,490,556,208,583,541,520,18,4,7,6,2])).
% 6.07/6.13 cnf(591,plain,
% 6.07/6.13 (~P1(f2(f2(a3,f2(a3,a4)),f2(a3,a4)),f2(f2(x5911,x5911),f2(x5912,x5912)))),
% 6.07/6.13 inference(scs_inference,[],[537,285,18])).
% 6.07/6.13 cnf(595,plain,
% 6.07/6.13 (E(f2(a4,x5951),f2(f2(f2(x5952,a1),f2(x5953,a1)),x5951))),
% 6.07/6.13 inference(scs_inference,[],[537,79,285,18,4])).
% 6.07/6.13 cnf(596,plain,
% 6.07/6.13 (P1(f2(f2(x5961,x5962),x5961),f2(f2(a1,a1),x5963))),
% 6.07/6.13 inference(scs_inference,[],[498,537,567,79,285,18,4,7])).
% 6.07/6.13 cnf(598,plain,
% 6.07/6.13 (P1(f2(f2(x5981,x5982),x5981),f2(f2(f2(x5983,x5983),x5984),f2(x5985,x5985)))),
% 6.07/6.13 inference(rename_variables,[],[567])).
% 6.07/6.13 cnf(599,plain,
% 6.07/6.13 (~E(f2(f2(x5991,x5992),x5991),f2(a1,f2(a3,a4)))),
% 6.07/6.13 inference(scs_inference,[],[498,537,567,598,268,79,285,18,4,7,6])).
% 6.07/6.13 cnf(602,plain,
% 6.07/6.13 (~E(f2(f2(a3,f2(a3,a4)),f2(x6021,x6021)),f2(f2(x6022,a1),x6023))),
% 6.07/6.13 inference(scs_inference,[],[498,537,419,567,598,268,79,285,18,4,7,6,2])).
% 6.07/6.13 cnf(603,plain,
% 6.07/6.13 (E(f2(a4,x6031),f2(f2(x6032,x6032),a4))),
% 6.07/6.13 inference(scs_inference,[],[498,537,529,419,549,567,598,268,79,285,18,4,7,6,2,3])).
% 6.07/6.13 cnf(608,plain,
% 6.07/6.13 (E(a4,f2(f2(x6081,a1),f2(a4,x6082)))),
% 6.07/6.13 inference(scs_inference,[],[427,522,11,17,18])).
% 6.07/6.13 cnf(613,plain,
% 6.07/6.13 (P1(f2(f2(x6131,x6132),x6131),f2(f2(a4,a1),f2(x6133,a1)))),
% 6.07/6.13 inference(scs_inference,[],[596,521,599,427,522,11,17,18,4,7])).
% 6.07/6.13 cnf(616,plain,
% 6.07/6.13 (E(f2(a4,x6161),f2(f2(f2(a4,x6162),x6163),x6161))),
% 6.07/6.13 inference(scs_inference,[],[596,521,599,385,427,522,11,17,18,4,7,2])).
% 6.07/6.13 cnf(617,plain,
% 6.07/6.13 (P1(f2(f2(x6171,a1),a4),a4)),
% 6.07/6.13 inference(scs_inference,[],[48,596,521,599,401,385,427,522,11,17,18,4,7,2,6])).
% 6.07/6.13 cnf(620,plain,
% 6.07/6.13 (~E(f2(a3,a4),f2(a4,f2(a4,x6201)))),
% 6.07/6.13 inference(scs_inference,[],[48,596,482,521,599,401,385,553,427,522,11,17,18,4,7,2,6,3])).
% 6.07/6.13 cnf(623,plain,
% 6.07/6.13 (~P1(f2(a3,a4),f2(f2(a1,a1),f2(a1,a1)))),
% 6.07/6.13 inference(scs_inference,[],[536,285,18])).
% 6.07/6.13 cnf(627,plain,
% 6.07/6.13 (E(f2(a4,x6271),f2(f2(f2(x6272,a1),f2(a4,x6273)),x6271))),
% 6.07/6.13 inference(scs_inference,[],[536,608,285,18,4])).
% 6.07/6.13 cnf(628,plain,
% 6.07/6.13 (~P1(f2(f2(a3,f2(a3,a4)),f2(a3,a4)),a4)),
% 6.07/6.13 inference(scs_inference,[],[44,591,536,608,285,18,4,7])).
% 6.07/6.13 cnf(629,plain,
% 6.07/6.13 (~P1(f2(f2(a3,f2(a3,a4)),f2(a3,a4)),f2(f2(x6291,x6291),f2(x6292,x6292)))),
% 6.07/6.13 inference(rename_variables,[],[591])).
% 6.07/6.13 cnf(632,plain,
% 6.07/6.13 (~E(f2(f2(x6321,a1),f2(x6322,x6322)),f2(f2(a3,f2(a3,a4)),f2(a3,a4)))),
% 6.07/6.13 inference(scs_inference,[],[44,591,629,564,447,536,608,285,18,4,7,2,6])).
% 6.07/6.13 cnf(637,plain,
% 6.07/6.13 (E(f2(f2(f2(x6371,a1),a4),a4),a4)),
% 6.07/6.13 inference(scs_inference,[],[44,54,591,629,564,447,536,608,617,169,285,18,4,7,2,6,3,16])).
% 6.07/6.13 cnf(639,plain,
% 6.07/6.13 (E(f2(x6391,a4),f2(x6391,f2(f2(x6392,a1),f2(x6393,x6393))))),
% 6.07/6.13 inference(scs_inference,[],[44,54,591,629,564,447,536,560,608,617,169,285,18,4,7,2,6,3,16,5])).
% 6.07/6.13 cnf(640,plain,
% 6.07/6.13 (E(f2(f2(x6401,a1),x6402),f2(a4,x6402))),
% 6.07/6.13 inference(scs_inference,[],[51,2,4])).
% 6.07/6.13 cnf(643,plain,
% 6.07/6.13 (P1(f2(f2(x6431,x6431),x6432),f2(f2(x6433,x6433),x6432))),
% 6.07/6.13 inference(scs_inference,[],[94,639,229,32,7])).
% 6.07/6.13 cnf(645,plain,
% 6.07/6.13 (E(f2(x6451,a4),f2(x6451,f2(f2(x6452,a1),f2(a4,x6453))))),
% 6.07/6.13 inference(scs_inference,[],[94,639,575,229,32,7,2])).
% 6.07/6.13 cnf(646,plain,
% 6.07/6.13 (~E(f2(f2(x6461,x6462),x6461),f2(f2(a3,f2(a3,a4)),f2(a3,a4)))),
% 6.07/6.13 inference(scs_inference,[],[94,639,575,596,591,229,32,7,2,6])).
% 6.07/6.13 cnf(649,plain,
% 6.07/6.13 (E(f2(a4,f2(x6491,x6491)),f2(a4,x6492))),
% 6.07/6.13 inference(scs_inference,[],[94,198,402,639,575,596,591,229,32,7,2,6,3])).
% 6.07/6.13 cnf(652,plain,
% 6.07/6.13 (E(a4,f2(f2(x6521,a1),a4))),
% 6.07/6.13 inference(scs_inference,[],[94,198,402,639,575,596,591,229,617,11,32,7,2,6,3,18])).
% 6.07/6.13 cnf(655,plain,
% 6.07/6.13 (~E(f2(f2(a3,a4),x6551),f2(a3,f2(a3,a4)))),
% 6.07/6.13 inference(scs_inference,[],[94,198,402,639,575,596,591,229,617,11,32,7,2,6,3,18,4])).
% 6.07/6.13 cnf(656,plain,
% 6.07/6.13 (E(f2(a4,x6561),f2(f2(f2(x6562,a1),a4),x6561))),
% 6.07/6.13 inference(scs_inference,[],[652,4])).
% 6.07/6.13 cnf(657,plain,
% 6.07/6.13 (P1(f2(f2(x6571,x6572),x6571),f2(a4,f2(x6573,a1)))),
% 6.07/6.13 inference(scs_inference,[],[613,640,652,4,7])).
% 6.07/6.13 cnf(660,plain,
% 6.07/6.13 (P1(f2(f2(a4,x6601),f2(x6602,a1)),a4)),
% 6.07/6.13 inference(scs_inference,[],[60,48,613,640,652,405,4,7,2,6])).
% 6.07/6.13 cnf(663,plain,
% 6.07/6.13 (~E(f2(a3,a4),f2(f2(x6631,a1),x6632))),
% 6.07/6.13 inference(scs_inference,[],[60,48,613,640,414,620,652,405,4,7,2,6,3])).
% 6.07/6.13 cnf(666,plain,
% 6.07/6.13 (~P1(f2(a3,a4),f2(f2(f2(x6661,x6661),x6662),a4))),
% 6.07/6.13 inference(scs_inference,[],[623,233,7])).
% 6.07/6.13 cnf(668,plain,
% 6.07/6.13 (E(f2(f2(a4,a1),f2(x6681,a1)),f2(x6682,a1))),
% 6.07/6.13 inference(scs_inference,[],[623,233,516,7,2])).
% 6.07/6.13 cnf(669,plain,
% 6.07/6.13 (~E(f2(f2(x6691,a1),f2(x6692,x6692)),f2(a3,a4))),
% 6.07/6.13 inference(scs_inference,[],[623,233,516,546,7,2,6])).
% 6.07/6.13 cnf(673,plain,
% 6.07/6.13 (~E(f2(f2(a3,a4),f2(f2(a1,a1),f2(a1,a1))),a4)),
% 6.07/6.13 inference(scs_inference,[],[54,623,233,645,516,546,7,2,6,3,17])).
% 6.07/6.13 cnf(675,plain,
% 6.07/6.13 (P1(f2(f2(x6751,x6752),x6751),f2(f2(f2(x6753,x6753),x6754),f2(x6755,a1)))),
% 6.07/6.13 inference(scs_inference,[],[168,657,7])).
% 6.07/6.13 cnf(677,plain,
% 6.07/6.13 (~E(f2(a3,f2(a3,a4)),f2(f2(a3,a4),x6771))),
% 6.07/6.13 inference(scs_inference,[],[655,168,657,7,2])).
% 6.07/6.13 cnf(680,plain,
% 6.07/6.13 (E(f2(a4,f2(x6801,a1)),f2(x6802,a1))),
% 6.07/6.13 inference(scs_inference,[],[655,168,258,657,668,426,502,7,2,6,3])).
% 6.07/6.13 cnf(684,plain,
% 6.07/6.13 (E(f2(x6841,f2(f2(a4,x6842),x6843)),f2(x6841,a4))),
% 6.07/6.13 inference(scs_inference,[],[655,168,258,657,668,426,660,502,354,7,2,6,3,16,5])).
% 6.07/6.13 cnf(685,plain,
% 6.07/6.13 (P1(f2(f2(x6851,x6852),x6851),f2(f2(f2(x6853,x6854),x6853),f2(x6855,a1)))),
% 6.07/6.13 inference(scs_inference,[],[205,657,7])).
% 6.07/6.13 cnf(688,plain,
% 6.07/6.13 (P1(f2(f2(x6881,x6882),x6881),f2(f2(x6883,x6883),f2(x6884,x6884)))),
% 6.07/6.13 inference(scs_inference,[],[643,205,684,174,657,7,2,6])).
% 6.07/6.13 cnf(691,plain,
% 6.07/6.13 (~E(f2(a3,a4),f2(a4,x6911))),
% 6.07/6.13 inference(scs_inference,[],[643,436,205,684,603,174,657,7,2,6,3])).
% 6.07/6.13 cnf(696,plain,
% 6.07/6.13 (~P1(f2(a3,a4),f2(f2(a1,a1),f2(x6961,x6961)))),
% 6.07/6.13 inference(scs_inference,[],[643,436,669,205,684,603,174,645,657,285,7,2,6,3,32,18])).
% 6.07/6.13 cnf(700,plain,
% 6.07/6.13 (E(a4,f2(f2(a4,x7001),f2(x7002,a1)))),
% 6.07/6.13 inference(scs_inference,[],[660,11,18])).
% 6.07/6.13 cnf(703,plain,
% 6.07/6.13 (~P1(f2(a3,a4),f2(a4,a4))),
% 6.07/6.13 inference(scs_inference,[],[666,588,660,11,18,7])).
% 6.07/6.13 cnf(706,plain,
% 6.07/6.13 (~E(f2(f2(a3,f2(a3,a4)),f2(a3,a4)),f2(f2(x7061,x7062),x7061))),
% 6.07/6.13 inference(scs_inference,[],[646,666,588,660,11,18,7,2])).
% 6.07/6.13 cnf(707,plain,
% 6.07/6.13 (~E(f2(f2(x7071,x7072),x7071),f2(a3,a4))),
% 6.07/6.13 inference(scs_inference,[],[688,696,646,666,588,660,11,18,7,2,6])).
% 6.07/6.13 cnf(711,plain,
% 6.07/6.13 (~P1(f2(a3,a4),f2(f2(a3,f2(x7111,x7111)),a3))),
% 6.07/6.13 inference(scs_inference,[],[707,187,18])).
% 6.07/6.13 cnf(715,plain,
% 6.07/6.13 (P1(f2(f2(f2(x7151,a1),a4),a4),a4)),
% 6.07/6.13 inference(scs_inference,[],[707,637,202,187,18,7])).
% 6.07/6.13 cnf(717,plain,
% 6.07/6.13 (E(f2(x7171,a4),f2(x7171,f2(a4,x7172)))),
% 6.07/6.13 inference(scs_inference,[],[66,707,637,202,187,18,7,2])).
% 6.07/6.13 cnf(720,plain,
% 6.07/6.13 (E(f2(f2(x7201,a1),f2(x7202,a1)),f2(f2(a4,x7203),f2(x7204,a1)))),
% 6.07/6.13 inference(scs_inference,[],[66,63,56,707,700,637,202,187,18,7,2,6,3])).
% 6.07/6.13 cnf(721,plain,
% 6.07/6.13 (~E(f2(f2(a3,a4),f2(a4,a4)),a4)),
% 6.07/6.13 inference(scs_inference,[],[66,63,56,703,707,700,637,202,187,18,7,2,6,3,17])).
% 6.07/6.13 cnf(723,plain,
% 6.07/6.13 (~P1(f2(a3,a4),f2(a4,x7231))),
% 6.07/6.13 inference(scs_inference,[],[691,120,18])).
% 6.07/6.13 cnf(727,plain,
% 6.07/6.13 (P1(f2(f2(x7271,a4),f2(a1,a4)),a4)),
% 6.07/6.13 inference(scs_inference,[],[63,691,147,120,18,7])).
% 6.07/6.13 cnf(729,plain,
% 6.07/6.13 (E(f2(f2(x7291,a1),f2(x7292,a1)),a4)),
% 6.07/6.13 inference(rename_variables,[],[63])).
% 6.07/6.13 cnf(731,plain,
% 6.07/6.13 (~E(f2(f2(a3,f2(a3,a4)),f2(a3,a4)),f2(x7311,x7311))),
% 6.07/6.13 inference(scs_inference,[],[63,706,663,691,314,147,120,18,7,2,3])).
% 6.07/6.13 cnf(734,plain,
% 6.07/6.13 (P1(f2(f2(a4,x7341),f2(x7342,a1)),f2(f2(f2(x7343,x7343),x7344),f2(x7345,a1)))),
% 6.07/6.13 inference(scs_inference,[],[63,706,675,663,720,691,314,147,120,18,7,2,3,6])).
% 6.07/6.13 cnf(739,plain,
% 6.07/6.14 (E(f2(x7391,f2(f2(x7392,a1),f2(x7393,a1))),f2(x7391,a4))),
% 6.07/6.14 inference(scs_inference,[],[63,729,706,675,663,720,691,314,505,147,120,18,7,2,3,6,16,5])).
% 6.07/6.14 cnf(740,plain,
% 6.07/6.14 (E(a4,f2(f2(x7401,a4),f2(a1,a4)))),
% 6.07/6.14 inference(scs_inference,[],[727,11,18])).
% 6.07/6.14 cnf(743,plain,
% 6.07/6.14 (E(f2(a4,x7431),f2(f2(f2(x7432,a4),f2(a1,a4)),x7431))),
% 6.07/6.14 inference(scs_inference,[],[727,11,18,4])).
% 6.07/6.14 cnf(745,plain,
% 6.07/6.14 (~P1(f2(a3,f2(a3,a4)),f2(f2(f2(x7451,x7451),x7452),f2(a4,x7452)))),
% 6.07/6.14 inference(rename_variables,[],[454])).
% 6.07/6.14 cnf(747,plain,
% 6.07/6.14 (E(f2(f2(a1,x7471),a1),f2(f2(f2(x7472,x7472),a1),f2(x7473,x7473)))),
% 6.07/6.14 inference(scs_inference,[],[454,616,576,727,11,18,4,7,2])).
% 6.07/6.14 cnf(751,plain,
% 6.07/6.14 (~E(f2(f2(a3,f2(a3,a4)),f2(a4,x7511)),f2(x7512,a1))),
% 6.07/6.14 inference(scs_inference,[],[59,454,745,734,616,717,576,727,11,18,4,7,2,6,3])).
% 6.07/6.14 cnf(757,plain,
% 6.07/6.14 (E(f2(f2(x7571,a4),f2(a1,a4)),a4)),
% 6.07/6.14 inference(scs_inference,[],[751,727,11,5,18])).
% 6.07/6.14 cnf(760,plain,
% 6.07/6.14 (P1(f2(f2(x7601,x7601),a1),f2(f2(f2(x7602,x7602),a1),f2(x7603,x7603)))),
% 6.07/6.14 inference(scs_inference,[],[751,747,643,727,11,5,18,7])).
% 6.07/6.14 cnf(764,plain,
% 6.07/6.14 (~P1(f2(a3,f2(a4,x7641)),f2(a4,x7642))),
% 6.07/6.14 inference(scs_inference,[],[66,731,723,751,747,643,727,11,5,18,7,2,6])).
% 6.07/6.14 cnf(766,plain,
% 6.07/6.14 (E(f2(f2(x7661,a1),f2(x7662,a1)),f2(f2(x7663,a4),f2(a1,a4)))),
% 6.07/6.14 inference(scs_inference,[],[66,63,731,723,751,747,740,643,727,11,5,18,7,2,6,3])).
% 6.07/6.14 cnf(767,plain,
% 6.07/6.14 (P1(f2(x7671,a4),f2(a1,a4))),
% 6.07/6.14 inference(scs_inference,[],[66,63,731,723,751,747,740,643,727,11,5,18,7,2,6,3,17])).
% 6.07/6.14 cnf(771,plain,
% 6.07/6.14 (E(f2(x7711,f2(f2(x7712,a4),f2(a1,a4))),f2(x7711,a4))),
% 6.07/6.14 inference(scs_inference,[],[764,757,17,5])).
% 6.07/6.14 cnf(775,plain,
% 6.07/6.14 (~E(f2(a1,a4),a4)),
% 6.07/6.14 inference(scs_inference,[],[56,342,767,764,757,120,17,5,18,7])).
% 6.07/6.14 cnf(777,plain,
% 6.07/6.14 (E(f2(f2(x7771,a4),f2(a1,a4)),f2(f2(x7772,a1),f2(x7773,a1)))),
% 6.07/6.14 inference(scs_inference,[],[56,766,342,767,764,757,120,17,5,18,7,2])).
% 6.07/6.14 cnf(778,plain,
% 6.07/6.14 (P1(f2(f2(x7781,a4),f2(a1,a4)),f2(f2(f2(x7782,x7783),x7782),f2(x7784,a1)))),
% 6.07/6.14 inference(scs_inference,[],[56,685,766,342,767,764,757,120,17,5,18,7,2,6])).
% 6.07/6.14 cnf(784,plain,
% 6.07/6.14 (~P1(a1,a4)),
% 6.07/6.14 inference(scs_inference,[],[56,59,69,685,766,342,767,764,757,120,17,5,18,7,2,6,3,16])).
% 6.07/6.14 cnf(786,plain,
% 6.07/6.14 (E(f2(f2(f2(x7861,a1),f2(x7862,a1)),f2(x7863,x7863)),a4)),
% 6.07/6.14 inference(scs_inference,[],[479,16])).
% 6.07/6.14 cnf(791,plain,
% 6.07/6.14 (~P1(f2(a3,f2(a3,a4)),f2(a4,x7911))),
% 6.07/6.14 inference(scs_inference,[],[69,336,715,479,11,16,18,7])).
% 6.07/6.14 cnf(794,plain,
% 6.07/6.14 (~E(f2(f2(a3,f2(a3,a4)),f2(a3,a4)),f2(f2(x7941,a1),f2(x7942,x7942)))),
% 6.07/6.14 inference(scs_inference,[],[69,336,632,715,479,11,16,18,7,2])).
% 6.07/6.14 cnf(795,plain,
% 6.07/6.14 (~E(f2(f2(x7951,a4),f2(a1,a4)),f2(a3,f2(a3,a4)))),
% 6.07/6.14 inference(scs_inference,[],[69,336,632,778,715,297,479,11,16,18,7,2,6])).
% 6.07/6.14 cnf(798,plain,
% 6.07/6.14 (~E(f2(f2(x7981,a1),a4),f2(f2(a3,f2(a3,a4)),f2(a3,a4)))),
% 6.07/6.14 inference(scs_inference,[],[69,66,336,632,778,715,297,479,11,16,18,7,2,6,3])).
% 6.07/6.14 cnf(803,plain,
% 6.07/6.14 (E(f2(f2(f2(x8031,x8031),a1),f2(x8032,x8032)),f2(f2(x8033,x8033),a1))),
% 6.07/6.14 inference(scs_inference,[],[791,760,520,17,18])).
% 6.07/6.14 cnf(806,plain,
% 6.07/6.14 (P1(f2(f2(f2(x8061,x8061),x8062),a4),f2(a4,x8063))),
% 6.07/6.14 inference(scs_inference,[],[70,791,760,363,520,17,18,7])).
% 6.07/6.14 cnf(807,plain,
% 6.07/6.14 (E(f2(f2(f2(x8071,a4),f2(a1,a4)),x8072),f2(a4,x8072))),
% 6.07/6.14 inference(scs_inference,[],[70,791,743,760,363,520,17,18,7,2])).
% 6.07/6.14 cnf(810,plain,
% 6.07/6.14 (E(f2(f2(x8101,a1),f2(x8102,a1)),f2(a4,x8103))),
% 6.07/6.14 inference(scs_inference,[],[70,71,63,66,791,743,760,363,520,17,18,7,2,6,3])).
% 6.07/6.14 cnf(813,plain,
% 6.07/6.14 (E(f2(f2(x8131,a1),f2(f2(x8132,x8132),x8133)),a4)),
% 6.07/6.14 inference(scs_inference,[],[406,16])).
% 6.07/6.14 cnf(818,plain,
% 6.07/6.14 (P1(f2(f2(f2(x8181,x8181),x8182),a4),f2(x8183,x8183))),
% 6.07/6.14 inference(scs_inference,[],[69,806,721,406,11,16,18,7])).
% 6.07/6.14 cnf(820,plain,
% 6.07/6.14 (P1(f2(f2(f2(x8201,x8201),x8202),f2(x8203,x8203)),f2(f2(x8204,x8204),f2(x8205,x8205)))),
% 6.07/6.14 inference(scs_inference,[],[69,806,721,127,688,406,11,16,18,7,6])).
% 6.07/6.14 cnf(825,plain,
% 6.07/6.14 (E(f2(x8251,a4),f2(x8251,f2(f2(x8252,a4),f2(a1,a4))))),
% 6.07/6.14 inference(scs_inference,[],[69,63,795,326,806,721,127,688,740,406,11,16,18,7,6,2,3,5])).
% 6.07/6.14 cnf(826,plain,
% 6.07/6.14 (E(f2(f2(f2(x8261,x8261),x8262),f2(a1,a1)),f2(f2(a4,a4),f2(a1,a1)))),
% 6.07/6.14 inference(scs_inference,[],[820,734,18])).
% 6.07/6.14 cnf(828,plain,
% 6.07/6.14 (P1(f2(f2(f2(x8281,x8281),x8282),f2(x8283,x8283)),f2(f2(x8284,x8284),f2(x8285,x8285)))),
% 6.07/6.14 inference(rename_variables,[],[820])).
% 6.07/6.14 cnf(830,plain,
% 6.07/6.14 (~P1(a1,f2(f2(x8301,x8301),x8302))),
% 6.07/6.14 inference(scs_inference,[],[72,820,784,734,18,7])).
% 6.07/6.14 cnf(831,plain,
% 6.07/6.14 (E(f2(f2(x8311,x8311),a1),f2(f2(f2(x8312,x8312),a1),f2(x8313,x8313)))),
% 6.07/6.14 inference(scs_inference,[],[72,820,784,803,734,18,7,2])).
% 6.07/6.14 cnf(832,plain,
% 6.07/6.14 (~E(f2(f2(f2(x8321,x8321),x8322),f2(x8323,x8323)),f2(a3,a4))),
% 6.07/6.14 inference(scs_inference,[],[72,820,828,784,803,696,734,18,7,2,6])).
% 6.07/6.14 cnf(842,plain,
% 6.07/6.14 (P1(f2(f2(f2(x8421,a1),a4),a4),f2(a4,x8422))),
% 6.07/6.14 inference(scs_inference,[],[70,806,715,406,18,7])).
% 6.07/6.14 cnf(843,plain,
% 6.07/6.14 (~E(f2(a3,a4),f2(f2(f2(x8431,x8431),x8432),f2(x8433,x8433)))),
% 6.07/6.14 inference(scs_inference,[],[70,832,806,715,406,18,7,2])).
% 6.07/6.14 cnf(847,plain,
% 6.07/6.14 (E(f2(f2(x8471,x8471),x8472),f2(a4,x8473))),
% 6.07/6.14 inference(scs_inference,[],[72,70,832,818,830,806,715,406,18,7,2,6,3])).
% 6.07/6.14 cnf(850,plain,
% 6.07/6.14 (~P1(f2(a3,a4),f2(f2(f2(x8501,x8501),f2(x8501,x8501)),f2(x8502,x8502)))),
% 6.07/6.14 inference(scs_inference,[],[843,825,285,32,18])).
% 6.07/6.14 cnf(854,plain,
% 6.07/6.14 (P1(f2(f2(f2(x8541,a1),a4),a4),f2(x8542,x8542))),
% 6.07/6.14 inference(scs_inference,[],[69,843,842,825,285,32,18,7])).
% 6.07/6.14 cnf(856,plain,
% 6.07/6.14 (E(f2(f2(a4,a4),f2(a1,a1)),f2(f2(f2(x8561,x8561),x8562),f2(a1,a1)))),
% 6.07/6.14 inference(scs_inference,[],[69,826,843,842,825,285,32,18,7,2])).
% 6.07/6.14 cnf(857,plain,
% 6.07/6.14 (P1(f2(f2(x8571,a1),f2(x8572,a1)),f2(f2(f2(x8573,x8573),x8574),f2(x8575,a1)))),
% 6.07/6.14 inference(scs_inference,[],[69,826,843,777,842,675,825,285,32,18,7,2,6])).
% 6.07/6.14 cnf(864,plain,
% 6.07/6.14 (E(f2(a4,x8641),f2(f2(f2(x8642,a1),a4),a4))),
% 6.07/6.14 inference(scs_inference,[],[842,120,18])).
% 6.07/6.14 cnf(868,plain,
% 6.07/6.14 (~P1(f2(a3,a4),f2(f2(x8681,x8681),x8682))),
% 6.07/6.14 inference(scs_inference,[],[711,446,842,120,18,7])).
% 6.07/6.14 cnf(870,plain,
% 6.07/6.14 (~E(f2(f2(a4,x8701),f2(x8702,a1)),f2(a3,a4))),
% 6.07/6.14 inference(scs_inference,[],[850,711,446,842,734,120,18,7,6])).
% 6.07/6.14 cnf(884,plain,
% 6.07/6.14 (P1(f2(f2(x8841,x8842),x8841),f2(a4,x8843))),
% 6.07/6.14 inference(scs_inference,[],[70,842,274,120,18,7])).
% 6.07/6.14 cnf(885,plain,
% 6.07/6.14 (~P1(f2(a3,f2(a4,x8851)),f2(f2(x8852,x8852),x8853))),
% 6.07/6.14 inference(scs_inference,[],[66,70,868,842,274,120,18,7,6])).
% 6.07/6.14 cnf(886,plain,
% 6.07/6.14 (E(f2(x8861,f2(a4,x8862)),f2(x8861,a4))),
% 6.07/6.14 inference(rename_variables,[],[66])).
% 6.07/6.14 cnf(887,plain,
% 6.07/6.14 (E(f2(a4,x8871),f2(f2(x8872,x8872),x8873))),
% 6.07/6.14 inference(scs_inference,[],[66,70,868,847,842,274,120,18,7,6,2])).
% 6.07/6.14 cnf(888,plain,
% 6.07/6.14 (E(f2(f2(a4,x8881),f2(a4,x8882)),f2(a4,a4))),
% 6.07/6.14 inference(scs_inference,[],[66,886,74,70,868,847,842,274,120,18,7,6,2,3])).
% 6.07/6.14 cnf(891,plain,
% 6.07/6.14 (~P1(f2(f2(a3,a4),f2(f2(a1,a1),f2(a1,a1))),a4)),
% 6.07/6.14 inference(scs_inference,[],[673,11,18])).
% 6.07/6.14 cnf(894,plain,
% 6.07/6.14 (P1(f2(f2(f2(x8941,x8941),x8942),f2(x8943,x8943)),f2(f2(x8944,x8944),a4))),
% 6.07/6.14 inference(scs_inference,[],[66,673,820,11,18,7])).
% 6.07/6.14 cnf(896,plain,
% 6.07/6.14 (E(f2(x8961,f2(a4,x8962)),f2(x8961,a4))),
% 6.07/6.14 inference(rename_variables,[],[66])).
% 6.07/6.14 cnf(897,plain,
% 6.07/6.14 (P1(f2(f2(x8971,a1),a4),f2(f2(f2(x8972,x8972),x8973),f2(x8974,a1)))),
% 6.07/6.14 inference(scs_inference,[],[66,896,857,673,820,11,18,7,6])).
% 6.07/6.14 cnf(900,plain,
% 6.07/6.14 (~E(f2(a3,a4),f2(f2(a4,x9001),f2(x9002,a1)))),
% 6.07/6.14 inference(scs_inference,[],[66,896,870,857,673,820,11,18,7,6,2])).
% 6.07/6.14 cnf(901,plain,
% 6.07/6.14 (~E(f2(f2(a3,f2(a3,a4)),f2(x9011,x9011)),f2(a4,x9012))),
% 6.07/6.14 inference(scs_inference,[],[66,896,602,870,857,887,673,820,11,18,7,6,2,3])).
% 6.07/6.14 cnf(904,plain,
% 6.07/6.14 (E(f2(f2(a1,a1),a4),f2(f2(f2(x9041,x9041),x9042),f2(a1,a1)))),
% 6.07/6.14 inference(scs_inference,[],[894,897,18])).
% 6.07/6.14 cnf(905,plain,
% 6.07/6.14 (P1(f2(f2(f2(x9051,x9051),x9052),f2(x9053,x9053)),f2(f2(x9054,x9054),a4))),
% 6.07/6.14 inference(rename_variables,[],[894])).
% 6.07/6.14 cnf(908,plain,
% 6.07/6.14 (~P1(f2(f2(a3,f2(a3,a4)),f2(a3,a4)),f2(f2(x9081,x9081),x9082))),
% 6.07/6.14 inference(scs_inference,[],[72,894,628,897,18,7])).
% 6.07/6.14 cnf(909,plain,
% 6.07/6.14 (~E(f2(f2(f2(x9091,x9091),x9092),f2(x9093,x9093)),f2(a3,f2(a4,x9094)))),
% 6.07/6.14 inference(scs_inference,[],[72,894,905,628,885,897,18,7,6])).
% 6.07/6.14 cnf(912,plain,
% 6.07/6.14 (E(f2(a4,a4),f2(f2(a4,x9121),f2(a4,x9122)))),
% 6.07/6.14 inference(scs_inference,[],[72,888,894,905,628,885,897,18,7,6,2])).
% 6.07/6.14 cnf(920,plain,
% 6.07/6.14 (E(f2(f2(f2(x9201,x9201),x9201),f2(a1,a1)),f2(f2(a4,a4),a4))),
% 6.07/6.14 inference(scs_inference,[],[685,894,18])).
% 6.07/6.14 cnf(924,plain,
% 6.07/6.14 (P1(f2(f2(x9241,a1),f2(x9242,x9242)),f2(f2(x9243,a1),f2(x9244,a1)))),
% 6.07/6.14 inference(scs_inference,[],[79,685,894,483,18,7])).
% 6.07/6.14 cnf(925,plain,
% 6.07/6.14 (E(f2(f2(a4,x9251),x9252),f2(x9253,x9253))),
% 6.07/6.14 inference(scs_inference,[],[69,74,79,685,894,483,18,7,3])).
% 6.07/6.14 cnf(927,plain,
% 6.07/6.14 (~E(f2(x9271,a1),f2(f2(a3,f2(a3,a4)),f2(a3,a4)))),
% 6.07/6.14 inference(scs_inference,[],[69,75,74,79,908,685,894,483,18,7,3,6])).
% 6.07/6.14 cnf(931,plain,
% 6.07/6.14 (E(f2(f2(f2(x9311,x9312),x9311),f2(a4,x9313)),a4)),
% 6.07/6.14 inference(scs_inference,[],[69,75,74,79,908,884,901,685,894,483,18,7,3,6,2,16])).
% 6.07/6.14 cnf(933,plain,
% 6.07/6.14 (E(f2(x9331,f2(x9332,a1)),f2(x9331,a4))),
% 6.07/6.14 inference(scs_inference,[],[69,75,74,79,908,884,901,685,894,483,8,18,7,3,6,2,16,5])).
% 6.07/6.14 cnf(934,plain,
% 6.07/6.14 (~P1(f2(f2(a1,f2(a3,a4)),f2(a4,a4)),a4)),
% 6.07/6.14 inference(scs_inference,[],[423,11,18])).
% 6.07/6.14 cnf(937,plain,
% 6.07/6.14 (P1(f2(f2(x9371,a1),f2(x9372,x9372)),f2(a4,f2(x9373,a1)))),
% 6.07/6.14 inference(scs_inference,[],[74,924,423,11,18,7])).
% 6.07/6.14 cnf(940,plain,
% 6.07/6.14 (E(f2(f2(f2(x9401,x9401),x9402),f2(a1,a1)),f2(f2(a1,a1),a4))),
% 6.07/6.14 inference(scs_inference,[],[74,904,924,423,11,18,7,2])).
% 6.07/6.14 cnf(944,plain,
% 6.07/6.14 (P1(f2(f2(f2(x9441,x9441),x9442),f2(a1,a1)),f2(a1,a4))),
% 6.07/6.14 inference(scs_inference,[],[74,904,677,925,924,423,767,11,18,7,2,3,6])).
% 6.07/6.14 cnf(950,plain,
% 6.07/6.14 (~P1(f2(a3,f2(a3,a4)),f2(f2(f2(x9501,x9501),x9502),f2(a1,a1)))),
% 6.07/6.14 inference(scs_inference,[],[940,212,937,120,18,7])).
% 6.07/6.14 cnf(952,plain,
% 6.07/6.14 (~E(f2(f2(x9521,a4),f2(a1,a4)),f2(f2(a3,f2(a3,a4)),f2(x9522,x9522)))),
% 6.07/6.14 inference(scs_inference,[],[940,212,937,582,727,120,18,7,6])).
% 6.07/6.14 cnf(959,plain,
% 6.07/6.14 (P1(f2(f2(f2(x9591,x9591),a4),f2(x9592,a4)),f2(f2(x9593,a1),f2(x9594,a1)))),
% 6.07/6.14 inference(scs_inference,[],[79,937,246,120,18,7])).
% 6.07/6.14 cnf(960,plain,
% 6.07/6.14 (E(f2(f2(a4,x9601),a4),f2(f2(a4,x9602),f2(a4,x9603)))),
% 6.07/6.14 inference(scs_inference,[],[79,74,912,937,246,120,18,7,3])).
% 6.07/6.14 cnf(964,plain,
% 6.07/6.14 (E(f2(f2(a4,a4),a4),f2(f2(f2(x9641,x9641),x9641),f2(a1,a1)))),
% 6.07/6.14 inference(scs_inference,[],[79,74,920,912,891,303,937,246,120,18,7,3,6,2])).
% 6.07/6.14 cnf(967,plain,
% 6.07/6.14 (~P1(f2(a1,a4),a4)),
% 6.07/6.14 inference(scs_inference,[],[775,11,18])).
% 6.07/6.14 cnf(970,plain,
% 6.07/6.14 (P1(f2(f2(f2(x9701,x9701),a4),f2(x9702,a4)),f2(a4,f2(x9703,a1)))),
% 6.07/6.14 inference(scs_inference,[],[74,959,775,11,18,7])).
% 6.07/6.14 cnf(973,plain,
% 6.07/6.14 (~E(f2(f2(a3,f2(a3,a4)),f2(x9731,x9731)),f2(f2(x9732,a4),f2(a1,a4)))),
% 6.07/6.14 inference(scs_inference,[],[74,952,959,775,11,18,7,2])).
% 6.07/6.14 cnf(974,plain,
% 6.07/6.14 (~E(f2(a4,x9741),f2(f2(a3,f2(a3,a4)),f2(x9742,a1)))),
% 6.07/6.14 inference(scs_inference,[],[84,74,952,959,933,775,11,18,7,2,3])).
% 6.07/6.14 cnf(976,plain,
% 6.07/6.14 (P1(f2(f2(f2(x9761,x9761),x9761),f2(a1,a1)),f2(f2(a4,a1),f2(x9762,a1)))),
% 6.07/6.14 inference(scs_inference,[],[84,74,964,952,959,933,775,613,11,18,7,2,3,6])).
% 6.07/6.14 cnf(978,plain,
% 6.07/6.14 (E(f2(f2(f2(f2(x9781,x9781),x9782),f2(a1,a1)),f2(a1,a4)),a4)),
% 6.07/6.14 inference(scs_inference,[],[84,74,964,944,952,959,933,775,613,11,18,7,2,3,6,16])).
% 6.07/6.14 cnf(983,plain,
% 6.07/6.14 (~P1(f2(a1,a4),f2(f2(x9831,x9831),x9832))),
% 6.07/6.14 inference(scs_inference,[],[72,970,967,120,18,7])).
% 6.07/6.14 cnf(984,plain,
% 6.07/6.14 (~E(f2(f2(f2(x9841,x9841),a4),f2(x9842,a4)),f2(a3,a4))),
% 6.07/6.14 inference(scs_inference,[],[72,970,967,723,120,18,7,6])).
% 6.07/6.14 cnf(986,plain,
% 6.07/6.14 (E(f2(a4,x9861),f2(f2(x9862,a1),f2(x9863,a1)))),
% 6.07/6.14 inference(scs_inference,[],[72,810,970,967,723,120,18,7,6,2])).
% 6.07/6.14 cnf(992,plain,
% 6.07/6.14 (P1(f2(f2(x9921,a1),f2(a4,x9922)),f2(f2(x9923,a1),f2(x9924,a1)))),
% 6.07/6.14 inference(scs_inference,[],[79,970,522,120,18,7])).
% 6.07/6.14 cnf(993,plain,
% 6.07/6.14 (E(f2(f2(x9931,x9931),x9932),f2(f2(x9933,a1),f2(x9934,a1)))),
% 6.07/6.14 inference(scs_inference,[],[72,79,970,522,120,18,7,3])).
% 6.07/6.14 cnf(996,plain,
% 6.07/6.14 (~E(f2(a3,a4),f2(f2(f2(x9961,x9961),a4),f2(x9962,a4)))),
% 6.07/6.14 inference(scs_inference,[],[72,79,984,934,341,970,522,120,18,7,3,6,2])).
% 6.07/6.14 cnf(997,plain,
% 6.07/6.14 (~P1(f2(f2(a3,f2(a3,a4)),f2(x9971,a1)),f2(a4,a4))),
% 6.07/6.14 inference(scs_inference,[],[974,24,18])).
% 6.07/6.14 cnf(1001,plain,
% 6.07/6.14 (P1(f2(f2(f2(x10011,x10011),x10011),f2(a1,a1)),f2(a4,f2(x10012,a1)))),
% 6.07/6.14 inference(scs_inference,[],[74,976,974,24,18,7])).
% 6.07/6.14 cnf(1003,plain,
% 6.07/6.14 (E(f2(f2(x10031,a1),f2(x10032,a1)),f2(f2(x10033,x10033),x10034))),
% 6.07/6.14 inference(scs_inference,[],[74,976,993,974,24,18,7,2])).
% 6.07/6.14 cnf(1004,plain,
% 6.07/6.14 (~E(f2(f2(a3,f2(a3,a4)),f2(x10041,x10041)),f2(f2(a4,x10042),f2(a1,a4)))),
% 6.07/6.14 inference(scs_inference,[],[74,976,973,993,974,529,24,18,7,2,3])).
% 6.07/6.14 cnf(1007,plain,
% 6.07/6.14 (P1(f2(f2(a4,x10071),f2(a4,x10072)),f2(a4,x10073))),
% 6.07/6.14 inference(scs_inference,[],[74,976,973,993,974,960,529,884,24,18,7,2,3,6])).
% 6.07/6.14 cnf(1016,plain,
% 6.07/6.14 (E(f2(f2(a4,x10161),x10162),f2(a4,x10162))),
% 6.07/6.14 inference(rename_variables,[],[74])).
% 6.07/6.14 cnf(1018,plain,
% 6.07/6.14 (~E(f2(x10181,a1),f2(a1,a4))),
% 6.07/6.14 inference(scs_inference,[],[74,87,75,997,1001,983,120,18,7,2,6])).
% 6.07/6.14 cnf(1021,plain,
% 6.07/6.14 (~E(f2(a4,f2(x10211,a1)),f2(f2(a3,f2(a3,a4)),f2(a3,a4)))),
% 6.07/6.14 inference(scs_inference,[],[74,1016,87,75,997,550,1001,983,120,18,7,2,6,3])).
% 6.07/6.14 cnf(1026,plain,
% 6.07/6.14 (~E(a4,a1)),
% 6.07/6.14 inference(scs_inference,[],[86,2,5])).
% 6.07/6.14 cnf(1027,plain,
% 6.07/6.14 (E(f2(f2(f2(x10271,x10271),x10271),f2(a1,a1)),f2(a4,f2(x10272,a1)))),
% 6.07/6.14 inference(scs_inference,[],[1001,120,18])).
% 6.07/6.14 cnf(1030,plain,
% 6.07/6.14 (P1(f2(f2(a4,x10301),f2(x10302,a1)),f2(f2(x10303,a1),f2(x10304,a1)))),
% 6.07/6.14 inference(scs_inference,[],[79,1001,660,120,18,7])).
% 6.07/6.14 cnf(1031,plain,
% 6.07/6.14 (E(f2(a4,x10311),f2(a4,f2(x10312,x10312)))),
% 6.07/6.14 inference(scs_inference,[],[79,649,1001,660,120,18,7,2])).
% 6.07/6.14 cnf(1032,plain,
% 6.07/6.14 (E(f2(f2(a4,a4),f2(a1,a1)),f2(f2(x10321,x10321),x10322))),
% 6.07/6.14 inference(scs_inference,[],[79,856,1003,649,1001,660,120,18,7,2,3])).
% 6.07/6.14 cnf(1038,plain,
% 6.07/6.14 (~P1(f2(a1,a4),f2(f2(a1,f2(x10381,x10381)),a1))),
% 6.07/6.14 inference(scs_inference,[],[1018,187,18])).
% 6.07/6.14 cnf(1042,plain,
% 6.07/6.14 (P1(f2(f2(x10421,a1),f2(a4,x10422)),f2(a4,f2(x10423,a1)))),
% 6.07/6.14 inference(scs_inference,[],[992,1018,1027,187,18,7])).
% 6.07/6.14 cnf(1046,plain,
% 6.07/6.14 (P1(f2(f2(x10461,x10461),x10462),f2(f2(x10463,a1),f2(x10464,a1)))),
% 6.07/6.14 inference(scs_inference,[],[1032,1004,992,1030,1018,1027,187,18,7,2,6])).
% 6.07/6.14 cnf(1048,plain,
% 6.07/6.14 (~E(f2(f2(a3,f2(a3,a4)),f2(a3,a4)),f2(f2(x10481,a4),f2(a1,a4)))),
% 6.07/6.14 inference(scs_inference,[],[1032,1004,794,992,1030,1018,1027,777,187,18,7,2,6,3])).
% 6.07/6.14 cnf(1054,plain,
% 6.07/6.14 (~P1(f2(a1,a4),f2(a4,f2(x10541,a1)))),
% 6.07/6.14 inference(scs_inference,[],[1038,1042,680,120,18,7])).
% 6.07/6.14 cnf(1055,plain,
% 6.07/6.14 (E(f2(a4,f2(x10551,a1)),f2(x10552,a1))),
% 6.07/6.14 inference(rename_variables,[],[680])).
% 6.07/6.14 cnf(1058,plain,
% 6.07/6.14 (~E(f2(f2(a4,x10581),f2(a4,x10582)),f2(f2(a3,f2(a3,a4)),f2(x10583,a1)))),
% 6.07/6.14 inference(scs_inference,[],[101,1038,1042,680,1055,978,997,1007,120,18,7,2,3,6])).
% 6.07/6.14 cnf(1062,plain,
% 6.07/6.14 (E(f2(f2(x10621,a1),f2(a4,x10622)),f2(a4,f2(x10623,a1)))),
% 6.07/6.14 inference(scs_inference,[],[1042,120,18])).
% 6.07/6.14 cnf(1065,plain,
% 6.07/6.14 (P1(f2(x10651,a1),f2(f2(f2(x10652,a1),f2(x10653,a1)),a4))),
% 6.07/6.14 inference(scs_inference,[],[88,595,1042,120,18,7])).
% 6.07/6.14 cnf(1068,plain,
% 6.07/6.14 (~E(f2(f2(x10681,a4),f2(a1,a4)),f2(f2(a3,f2(a3,a4)),f2(a3,a4)))),
% 6.07/6.14 inference(scs_inference,[],[88,1048,595,1042,120,18,7,2])).
% 6.07/6.14 cnf(1077,plain,
% 6.07/6.14 (~P1(f2(f2(a3,f2(a3,a4)),f2(a3,a4)),f2(f2(a1,a4),f2(a1,a4)))),
% 6.07/6.14 inference(scs_inference,[],[1068,24,18])).
% 6.07/6.14 cnf(1081,plain,
% 6.07/6.14 (P1(f2(f2(x10811,x10811),x10812),f2(a4,f2(x10813,a1)))),
% 6.07/6.14 inference(scs_inference,[],[1068,1046,1062,24,18,7])).
% 6.07/6.14 cnf(1084,plain,
% 6.07/6.14 (E(a4,f2(f2(f2(x10841,a1),f2(x10842,a1)),f2(x10843,x10843)))),
% 6.07/6.14 inference(scs_inference,[],[1068,1046,1062,786,24,18,7,2])).
% 6.07/6.14 cnf(1085,plain,
% 6.07/6.14 (~E(f2(a3,a4),f2(x10851,x10851))),
% 6.07/6.14 inference(scs_inference,[],[1068,1046,900,1062,786,521,24,18,7,2,3])).
% 6.07/6.14 cnf(1088,plain,
% 6.07/6.14 (P1(f2(f2(f2(x10881,x10881),a1),f2(x10882,x10882)),f2(x10883,x10883))),
% 6.07/6.14 inference(scs_inference,[],[88,1068,1046,900,831,1062,786,521,24,18,7,2,3,6])).
% 6.07/6.14 cnf(1090,plain,
% 6.07/6.14 (E(f2(a4,f2(x10901,x10901)),f2(f2(x10902,a1),x10903))),
% 6.07/6.14 inference(scs_inference,[],[407,120,18])).
% 6.07/6.14 cnf(1096,plain,
% 6.07/6.14 (~E(f2(f2(x10961,x10961),x10962),f2(a1,a4))),
% 6.07/6.14 inference(scs_inference,[],[91,1085,1081,1054,144,407,120,18,7,2,6])).
% 6.07/6.14 cnf(1098,plain,
% 6.07/6.14 (~E(f2(a3,f2(f2(x10981,x10982),x10981)),f2(x10983,x10983))),
% 6.07/6.14 inference(scs_inference,[],[91,1085,1081,1054,144,228,407,120,18,7,2,6,3])).
% 6.07/6.14 cnf(1101,plain,
% 6.07/6.14 (E(f2(f2(f2(a1,a1),f2(x11011,a1)),a4),f2(a4,a1))),
% 6.07/6.14 inference(scs_inference,[],[1065,806,18])).
% 6.07/6.14 cnf(1105,plain,
% 6.07/6.14 (P1(f2(x11051,a1),f2(f2(f2(x11052,a1),f2(a4,x11053)),a4))),
% 6.07/6.14 inference(scs_inference,[],[88,627,1065,806,18,7])).
% 6.07/6.14 cnf(1106,plain,
% 6.07/6.14 (E(f2(a4,x11061),f2(f2(f2(x11062,a1),f2(a4,x11063)),x11061))),
% 6.07/6.14 inference(rename_variables,[],[627])).
% 6.07/6.14 cnf(1109,plain,
% 6.07/6.14 (E(f2(a4,a4),f2(f2(f2(x11091,a1),f2(a4,x11092)),f2(x11093,x11093)))),
% 6.07/6.14 inference(scs_inference,[],[95,88,627,1106,1065,330,806,18,7,2,3])).
% 6.07/6.14 cnf(1117,plain,
% 6.07/6.14 (~P1(f2(f2(a3,f2(a3,a4)),f2(x11171,a1)),f2(f2(a4,a4),f2(a4,a4)))),
% 6.07/6.14 inference(scs_inference,[],[1058,285,18])).
% 6.07/6.14 cnf(1121,plain,
% 6.07/6.14 (P1(f2(x11211,a1),f2(f2(f2(x11212,a1),f2(a4,x11213)),f2(x11214,x11214)))),
% 6.07/6.14 inference(scs_inference,[],[95,1058,1105,285,18,7])).
% 6.07/6.14 cnf(1122,plain,
% 6.07/6.14 (E(f2(x11221,a4),f2(x11221,f2(x11222,x11222)))),
% 6.07/6.14 inference(rename_variables,[],[95])).
% 6.07/6.14 cnf(1123,plain,
% 6.07/6.14 (~E(f2(a1,a4),f2(f2(x11231,x11231),x11232))),
% 6.07/6.14 inference(scs_inference,[],[95,1096,1058,1105,285,18,7,2])).
% 6.07/6.14 cnf(1124,plain,
% 6.07/6.14 (P1(f2(f2(f2(x11241,a1),a4),f2(x11242,x11242)),f2(x11243,x11243))),
% 6.07/6.14 inference(scs_inference,[],[95,1122,1096,1058,854,1105,285,18,7,2,6])).
% 6.07/6.14 cnf(1126,plain,
% 6.07/6.14 (~E(f2(a3,f2(f2(x11261,x11262),x11261)),a4)),
% 6.07/6.14 inference(scs_inference,[],[95,1122,1096,1058,1098,854,1105,1084,285,18,7,2,6,3])).
% 6.07/6.14 cnf(1129,plain,
% 6.07/6.14 (E(f2(f2(f2(f2(x11291,x11291),a1),f2(x11292,x11292)),f2(x11293,x11293)),a4)),
% 6.07/6.14 inference(scs_inference,[],[95,1122,1096,1088,1058,1098,854,1105,1084,285,18,7,2,6,3,16])).
% 6.07/6.14 cnf(1131,plain,
% 6.07/6.14 (~P1(a3,f2(f2(x11311,x11312),x11311))),
% 6.07/6.14 inference(scs_inference,[],[1126,16])).
% 6.07/6.14 cnf(1133,plain,
% 6.07/6.14 (E(f2(f2(f2(a4,a1),a4),f2(a1,a1)),f2(f2(a1,a4),f2(a1,a4)))),
% 6.07/6.14 inference(scs_inference,[],[1124,1126,778,16,18])).
% 6.07/6.14 cnf(1139,plain,
% 6.07/6.14 (E(f2(f2(f2(x11391,a1),f2(a4,x11392)),f2(x11393,x11393)),f2(a4,a4))),
% 6.07/6.14 inference(scs_inference,[],[91,1109,1124,1126,778,401,16,18,7,2])).
% 6.07/6.14 cnf(1140,plain,
% 6.07/6.14 (~E(f2(a1,f2(x11401,x11401)),f2(f2(x11402,x11402),x11403))),
% 6.07/6.14 inference(scs_inference,[],[91,95,1123,1109,1124,1126,778,401,16,18,7,2,3])).
% 6.07/6.14 cnf(1142,plain,
% 6.07/6.14 (~E(f2(f2(a1,a1),x11421),f2(f2(a3,f2(a3,a4)),f2(x11422,a1)))),
% 6.07/6.14 inference(scs_inference,[],[91,95,1123,1109,1117,1124,1126,778,401,443,16,18,7,2,3,6])).
% 6.07/6.14 cnf(1144,plain,
% 6.07/6.14 (E(f2(f2(f2(f2(x11441,a1),a4),f2(x11442,x11442)),f2(x11443,x11443)),a4)),
% 6.07/6.14 inference(scs_inference,[],[1124,16])).
% 6.07/6.14 cnf(1149,plain,
% 6.07/6.14 (P1(f2(f2(x11491,x11492),x11491),f2(f2(a1,a4),f2(a1,a4)))),
% 6.07/6.14 inference(scs_inference,[],[1133,220,1124,685,10,16,18,7])).
% 6.07/6.14 cnf(1151,plain,
% 6.07/6.14 (~E(f2(f2(a3,f2(a3,a4)),f2(x11511,a1)),f2(f2(a1,a1),x11512))),
% 6.07/6.14 inference(scs_inference,[],[1133,1142,220,1124,685,10,16,18,7,2])).
% 6.07/6.14 cnf(1152,plain,
% 6.07/6.14 (E(f2(f2(f2(x11521,a1),f2(a4,x11522)),f2(x11523,x11523)),f2(a4,f2(x11524,x11524)))),
% 6.07/6.14 inference(scs_inference,[],[95,1133,1139,1142,220,1124,685,10,16,18,7,2,3])).
% 6.07/6.14 cnf(1156,plain,
% 6.07/6.14 (~P1(f2(f2(a3,f2(a3,a4)),f2(x11561,a1)),f2(f2(a1,a1),a4))),
% 6.07/6.14 inference(scs_inference,[],[1151,318,18])).
% 6.07/6.14 cnf(1160,plain,
% 6.07/6.14 (P1(f2(f2(f2(x11601,x11601),x11602),f2(a1,a1)),f2(a1,f2(x11603,x11603)))),
% 6.07/6.14 inference(scs_inference,[],[95,1151,944,318,18,7])).
% 6.07/6.14 cnf(1161,plain,
% 6.07/6.14 (E(f2(x11611,a4),f2(x11611,f2(x11612,x11612)))),
% 6.07/6.14 inference(rename_variables,[],[95])).
% 6.07/6.14 cnf(1162,plain,
% 6.07/6.14 (E(f2(a4,a1),f2(f2(f2(a1,a1),f2(x11621,a1)),a4))),
% 6.07/6.14 inference(scs_inference,[],[95,1151,1101,944,318,18,7,2])).
% 6.07/6.14 cnf(1163,plain,
% 6.07/6.14 (~E(f2(a3,f2(a3,a4)),f2(f2(f2(x11631,a1),f2(a4,x11632)),f2(x11633,x11633)))),
% 6.07/6.14 inference(scs_inference,[],[87,95,1151,1101,1152,944,318,18,7,2,3])).
% 6.07/6.14 cnf(1165,plain,
% 6.07/6.14 (P1(f2(f2(a4,x11651),f2(x11652,x11652)),f2(f2(a1,a4),f2(a1,a4)))),
% 6.07/6.14 inference(scs_inference,[],[87,95,1161,1149,1151,1101,1152,944,318,18,7,2,3,6])).
% 6.07/6.14 cnf(1170,plain,
% 6.07/6.14 (E(f2(f2(a1,a4),f2(a1,a4)),f2(f2(a4,x11701),f2(x11702,x11702)))),
% 6.07/6.14 inference(scs_inference,[],[1165,24,18])).
% 6.07/6.14 cnf(1175,plain,
% 6.07/6.14 (~E(f2(f2(f2(x11751,a1),f2(a4,x11752)),f2(x11753,x11753)),f2(a3,f2(a3,a4)))),
% 6.07/6.14 inference(scs_inference,[],[91,1163,1165,463,24,18,7,2])).
% 6.07/6.14 cnf(1176,plain,
% 6.07/6.14 (~E(f2(f2(a4,x11761),f2(x11762,x11762)),f2(f2(a3,f2(a3,a4)),f2(a3,a4)))),
% 6.07/6.14 inference(scs_inference,[],[91,1077,1163,1165,463,24,18,7,2,6])).
% 6.07/6.14 cnf(1177,plain,
% 6.07/6.14 (~E(f2(a3,f2(x11771,x11771)),f2(f2(f2(x11772,x11772),a4),f2(x11773,a4)))),
% 6.07/6.14 inference(scs_inference,[],[91,95,1077,1163,1165,996,463,24,18,7,2,6,3])).
% 6.07/6.14 cnf(1179,plain,
% 6.07/6.14 (E(f2(f2(a4,a1),f2(x11791,a1)),f2(f2(f2(x11792,x11792),x11792),f2(a1,a1)))),
% 6.07/6.14 inference(scs_inference,[],[976,734,18])).
% 6.07/6.14 cnf(1182,plain,
% 6.07/6.14 (P1(f2(f2(x11821,x11821),x11822),f2(f2(x11823,a1),x11824))),
% 6.07/6.14 inference(scs_inference,[],[1090,976,1081,734,18,7])).
% 6.07/6.14 cnf(1185,plain,
% 6.07/6.14 (E(a4,f2(f2(f2(f2(x11851,x11851),a1),f2(x11852,x11852)),f2(x11853,x11853)))),
% 6.07/6.14 inference(scs_inference,[],[1090,1129,976,1081,734,18,7,2])).
% 6.07/6.14 cnf(1186,plain,
% 6.07/6.14 (E(f2(a4,a1),f2(f2(f2(a1,a1),f2(x11861,a1)),f2(x11862,x11862)))),
% 6.07/6.14 inference(scs_inference,[],[95,1162,1090,1129,976,1081,734,18,7,2,3])).
% 6.07/6.14 cnf(1194,plain,
% 6.07/6.14 (P1(f2(f2(x11941,x11941),x11942),f2(a4,x11943))),
% 6.07/6.14 inference(scs_inference,[],[97,1175,1182,285,18,7])).
% 6.07/6.14 cnf(1198,plain,
% 6.07/6.14 (~E(f2(a1,f2(x11981,x11981)),f2(a4,a1))),
% 6.07/6.14 inference(scs_inference,[],[97,1186,1175,1182,1176,1140,285,18,7,2,3])).
% 6.07/6.14 cnf(1199,plain,
% 6.07/6.14 (E(f2(a4,a1),f2(f2(f2(a1,a1),f2(x11991,a1)),f2(x11992,x11992)))),
% 6.07/6.14 inference(rename_variables,[],[1186])).
% 6.07/6.14 cnf(1201,plain,
% 6.07/6.14 (P1(f2(f2(f2(a1,a1),f2(x12011,a1)),f2(x12012,x12012)),f2(x12013,x12013))),
% 6.07/6.14 inference(scs_inference,[],[97,88,1186,1199,1175,1182,1176,1140,285,18,7,2,3,6])).
% 6.07/6.14 cnf(1205,plain,
% 6.07/6.14 (~P1(f2(a1,f2(x12051,x12051)),f2(f2(f2(x12052,x12052),f2(x12052,x12052)),f2(a1,a1)))),
% 6.07/6.14 inference(scs_inference,[],[1160,1140,18])).
% 6.07/6.14 cnf(1211,plain,
% 6.07/6.14 (E(f2(f2(f2(x12111,x12111),x12111),f2(a1,a1)),f2(f2(a4,a1),f2(x12112,a1)))),
% 6.07/6.14 inference(scs_inference,[],[91,1179,1160,1140,684,18,7,2])).
% 6.07/6.14 cnf(1213,plain,
% 6.07/6.14 (~E(f2(f2(x12131,x12132),x12131),f2(f2(a3,f2(a3,a4)),f2(x12133,a1)))),
% 6.07/6.14 inference(scs_inference,[],[101,91,1179,1156,1160,1144,1140,684,596,18,7,2,3,6])).
% 6.07/6.14 cnf(1215,plain,
% 6.07/6.14 (~E(f2(a3,f2(a4,a4)),a4)),
% 6.07/6.14 inference(scs_inference,[],[101,91,1179,1156,1160,1144,1140,684,358,596,18,7,2,3,6,17])).
% 6.07/6.14 cnf(1217,plain,
% 6.07/6.14 (~E(f2(a3,f2(a3,a4)),f2(f2(f2(x12171,x12172),x12171),f2(x12173,a1)))),
% 6.07/6.14 inference(scs_inference,[],[90,573,2,3])).
% 6.07/6.14 cnf(1218,plain,
% 6.07/6.14 (E(f2(a1,a1),f2(f2(f2(a1,a1),f2(a4,a1)),f2(x12181,x12181)))),
% 6.07/6.14 inference(scs_inference,[],[1201,1121,18])).
% 6.07/6.14 cnf(1222,plain,
% 6.07/6.14 (P1(f2(x12221,a1),f2(f2(f2(x12222,a1),a4),a4))),
% 6.07/6.14 inference(scs_inference,[],[88,1201,1121,656,18,7])).
% 6.07/6.14 cnf(1226,plain,
% 6.07/6.14 (E(f2(f2(f2(x12261,x12261),x12261),f2(a1,a1)),f2(a4,x12262))),
% 6.07/6.14 inference(scs_inference,[],[88,97,1201,1211,1217,1121,656,18,7,2,3])).
% 6.07/6.14 cnf(1231,plain,
% 6.07/6.14 (~P1(f2(a1,f2(x12311,x12311)),f2(a4,a1))),
% 6.07/6.14 inference(scs_inference,[],[1198,120,18])).
% 6.07/6.14 cnf(1234,plain,
% 6.07/6.14 (P1(f2(x12341,a1),f2(f2(f2(x12342,a1),a4),f2(x12343,x12343)))),
% 6.07/6.14 inference(scs_inference,[],[95,1198,1222,120,18,7])).
% 6.07/6.14 cnf(1236,plain,
% 6.07/6.14 (E(f2(f2(f2(a1,a1),f2(a4,a1)),f2(x12361,x12361)),f2(a1,a1))),
% 6.07/6.14 inference(scs_inference,[],[95,1218,1198,1222,120,18,7,2])).
% 6.07/6.14 cnf(1237,plain,
% 6.07/6.14 (E(f2(f2(a1,a1),x12371),f2(f2(f2(a1,a1),f2(a4,a1)),f2(x12372,x12372)))),
% 6.07/6.14 inference(scs_inference,[],[95,1218,1198,1222,139,120,18,7,2,3])).
% 6.07/6.14 cnf(1239,plain,
% 6.07/6.14 (P1(f2(f2(a4,x12391),f2(x12392,x12392)),f2(f2(f2(x12393,x12394),x12393),f2(x12395,a1)))),
% 6.07/6.14 inference(scs_inference,[],[95,1218,1170,1198,1222,139,778,120,18,7,2,3,6])).
% 6.07/6.14 cnf(1241,plain,
% 6.07/6.14 (E(f2(f2(f2(x12411,a1),a4),f2(x12412,x12412)),f2(a1,a1))),
% 6.07/6.14 inference(scs_inference,[],[1234,1124,18])).
% 6.07/6.14 cnf(1248,plain,
% 6.07/6.14 (E(f2(f2(f2(a1,a1),f2(a4,a1)),f2(x12481,x12481)),f2(a4,x12482))),
% 6.07/6.14 inference(scs_inference,[],[97,91,1236,927,1234,771,1124,18,7,2,3])).
% 6.07/6.14 cnf(1250,plain,
% 6.07/6.14 (~E(f2(f2(x12501,x12501),x12502),f2(a1,f2(x12503,x12503)))),
% 6.07/6.14 inference(scs_inference,[],[97,91,1236,1231,1194,927,1234,771,1124,18,7,2,3,6])).
% 6.07/6.14 cnf(1251,plain,
% 6.07/6.14 (P1(f2(f2(x12511,x12511),x12512),f2(a4,x12513))),
% 6.07/6.14 inference(rename_variables,[],[1194])).
% 6.07/6.14 cnf(1252,plain,
% 6.07/6.14 (E(f2(f2(f2(x12521,x12521),x12522),f2(a4,x12523)),a4)),
% 6.07/6.14 inference(scs_inference,[],[97,91,1236,1231,1194,1251,927,1234,771,1124,18,7,2,3,6,16])).
% 6.07/6.14 cnf(1258,plain,
% 6.07/6.14 (P1(f2(f2(a4,x12581),f2(x12582,x12582)),f2(a4,x12583))),
% 6.07/6.14 inference(scs_inference,[],[97,1239,854,1222,18,7])).
% 6.07/6.14 cnf(1262,plain,
% 6.07/6.14 (E(f2(f2(a1,a1),x12621),f2(f2(f2(a1,a1),f2(a4,a1)),f2(x12622,x12622)))),
% 6.07/6.14 inference(rename_variables,[],[1237])).
% 6.07/6.14 cnf(1264,plain,
% 6.07/6.14 (E(f2(f2(f2(a1,a1),f2(a4,a1)),f2(x12641,x12641)),f2(f2(a1,a1),x12642))),
% 6.07/6.14 inference(scs_inference,[],[97,1237,1262,1239,252,854,1222,18,7,3,2])).
% 6.07/6.14 cnf(1273,plain,
% 6.07/6.14 (P1(f2(f2(f2(a1,a1),f2(x12731,a1)),f2(x12732,x12732)),f2(a4,x12733))),
% 6.07/6.14 inference(scs_inference,[],[108,97,1201,13,18,7])).
% 6.07/6.14 cnf(1277,plain,
% 6.07/6.14 (P1(f2(f2(x12771,a1),f2(x12772,a1)),f2(f2(f2(x12773,a1),f2(a4,x12774)),f2(x12775,x12775)))),
% 6.07/6.14 inference(scs_inference,[],[108,101,97,506,986,813,1201,1121,13,18,7,2,3,6])).
% 6.07/6.14 cnf(1280,plain,
% 6.07/6.14 (E(f2(a4,a1),f2(f2(a4,x12801),f2(x12802,x12802)))),
% 6.07/6.14 inference(scs_inference,[],[1258,431,18])).
% 6.07/6.14 cnf(1289,plain,
% 6.07/6.14 (E(f2(a1,a1),f2(f2(f2(x12891,a1),a4),f2(x12892,x12892)))),
% 6.07/6.14 inference(scs_inference,[],[95,97,1241,1258,1131,431,18,7,3,2])).
% 6.07/6.14 cnf(1290,plain,
% 6.07/6.14 (~E(f2(f2(f2(a1,a1),f2(x12901,a1)),f2(x12902,x12902)),f2(a1,f2(x12903,x12903)))),
% 6.07/6.14 inference(scs_inference,[],[95,97,1241,1273,1258,1131,1231,431,18,7,3,2,6])).
% 6.07/6.14 cnf(1293,plain,
% 6.07/6.14 (E(f2(x12931,a1),f2(f2(f2(a1,a1),a4),f2(a1,a1)))),
% 6.07/6.14 inference(scs_inference,[],[1234,362,18])).
% 6.07/6.14 cnf(1300,plain,
% 6.07/6.14 (~E(f2(a1,f2(x13001,x13001)),f2(f2(f2(a1,a1),f2(x13002,a1)),f2(x13003,x13003)))),
% 6.07/6.14 inference(scs_inference,[],[97,1277,1290,1234,362,18,7,2])).
% 6.07/6.14 cnf(1301,plain,
% 6.07/6.14 (~E(f2(a3,f2(x13011,x13011)),f2(a1,a1))),
% 6.07/6.14 inference(scs_inference,[],[97,1289,1277,1290,1177,1234,362,18,7,2,3])).
% 6.07/6.14 cnf(1308,plain,
% 6.07/6.14 (~P1(f2(a3,f2(x13081,x13081)),f2(a1,a1))),
% 6.07/6.14 inference(scs_inference,[],[1301,24,18])).
% 6.07/6.14 cnf(1311,plain,
% 6.07/6.14 (P1(f2(f2(x13111,x13112),x13111),f2(x13113,x13113))),
% 6.07/6.14 inference(scs_inference,[],[111,1301,1149,24,18,7])).
% 6.07/6.14 cnf(1314,plain,
% 6.07/6.14 (E(f2(f2(a4,x13141),f2(x13142,x13142)),f2(a4,a1))),
% 6.07/6.14 inference(scs_inference,[],[111,101,1280,1301,931,1149,24,18,7,3,2])).
% 6.07/6.14 cnf(1315,plain,
% 6.07/6.14 (P1(f2(f2(f2(x13151,x13151),x13152),f2(a1,a1)),f2(f2(x13153,a1),x13154))),
% 6.07/6.14 inference(scs_inference,[],[111,101,1280,1301,931,856,1149,1182,24,18,7,3,2,6])).
% 6.07/6.14 cnf(1319,plain,
% 6.07/6.14 (~P1(f2(a1,f2(x13191,x13191)),f2(f2(f2(a1,a1),f2(x13192,a1)),f2(a1,a1)))),
% 6.07/6.14 inference(scs_inference,[],[1300,1160,18])).
% 6.07/6.14 cnf(1320,plain,
% 6.07/6.14 (P1(f2(f2(f2(x13201,x13201),x13202),f2(a1,a1)),f2(a1,f2(x13203,x13203)))),
% 6.07/6.14 inference(rename_variables,[],[1160])).
% 6.07/6.14 cnf(1323,plain,
% 6.07/6.14 (~P1(f2(a1,f2(x13231,x13231)),f2(f2(x13232,x13232),f2(x13232,x13232)))),
% 6.07/6.14 inference(scs_inference,[],[1205,1300,152,1160,18,7])).
% 6.07/6.14 cnf(1325,plain,
% 6.07/6.14 (~E(f2(a3,f2(a4,x13251)),f2(f2(f2(x13252,x13252),x13253),f2(x13254,x13254)))),
% 6.07/6.14 inference(scs_inference,[],[1205,1300,909,152,1160,18,7,2])).
% 6.07/6.14 cnf(1326,plain,
% 6.07/6.14 (E(f2(f2(f2(a1,a1),f2(a4,a1)),f2(x13261,x13261)),f2(x13262,x13262))),
% 6.07/6.14 inference(scs_inference,[],[111,1264,1205,1300,909,152,1160,18,7,2,3])).
% 6.07/6.14 cnf(1327,plain,
% 6.07/6.14 (E(f2(f2(f2(a1,a1),f2(a4,a1)),f2(x13271,x13271)),f2(f2(a1,a1),x13272))),
% 6.07/6.14 inference(rename_variables,[],[1264])).
% 6.07/6.14 cnf(1329,plain,
% 6.07/6.14 (P1(f2(f2(a1,a1),x13291),f2(a1,f2(x13292,x13292)))),
% 6.07/6.14 inference(scs_inference,[],[111,1264,1327,1205,1300,909,152,1160,1320,18,7,2,3,6])).
% 6.07/6.14 cnf(1336,plain,
% 6.07/6.14 (P1(f2(f2(x13361,a1),f2(x13362,x13362)),f2(x13363,x13363))),
% 6.07/6.14 inference(scs_inference,[],[1326,1250,1329,564,18,7])).
% 6.07/6.14 cnf(1337,plain,
% 6.07/6.14 (E(f2(f2(f2(a1,a1),f2(a4,a1)),f2(x13371,x13371)),f2(x13372,x13372))),
% 6.07/6.14 inference(rename_variables,[],[1326])).
% 6.07/6.14 cnf(1341,plain,
% 6.07/6.14 (E(f2(x13411,x13411),f2(f2(f2(a1,a1),f2(a4,a1)),f2(x13412,x13412)))),
% 6.07/6.14 inference(scs_inference,[],[1326,1337,1250,1329,1293,1325,564,18,7,3,2])).
% 6.07/6.14 cnf(1342,plain,
% 6.07/6.14 (~P1(f2(a3,a4),f2(a1,a1))),
% 6.07/6.14 inference(scs_inference,[],[1326,1337,1308,1250,1329,1293,1325,564,639,18,7,3,2,6])).
% 6.07/6.14 cnf(1347,plain,
% 6.07/6.14 (~P1(f2(f2(a3,f2(a3,a4)),f2(a3,a4)),f2(a4,f2(x13471,a1)))),
% 6.07/6.14 inference(scs_inference,[],[1021,120,18])).
% 6.07/6.14 cnf(1350,plain,
% 6.07/6.14 (P1(f2(f2(x13501,a1),f2(x13502,x13502)),f2(a4,x13503))),
% 6.07/6.14 inference(scs_inference,[],[97,1336,1021,120,18,7])).
% 6.07/6.14 cnf(1354,plain,
% 6.07/6.14 (P1(f2(f2(x13541,x13541),x13542),f2(f2(f2(x13543,x13544),x13543),f2(x13545,a1)))),
% 6.07/6.14 inference(scs_inference,[],[97,101,1336,1021,798,1252,1032,1239,120,18,7,3,2,6])).
% 6.07/6.14 cnf(1356,plain,
% 6.07/6.14 (E(f2(f2(f2(x13561,x13562),x13561),f2(x13563,x13563)),a4)),
% 6.07/6.14 inference(scs_inference,[],[97,101,1311,1336,1021,798,1252,1032,1239,120,18,7,3,2,6,16])).
% 6.07/6.14 cnf(1358,plain,
% 6.07/6.14 (E(f2(f2(f2(x13581,x13581),x13581),f2(a1,a1)),f2(f2(a1,a1),x13582))),
% 6.07/6.14 inference(scs_inference,[],[1354,1315,18])).
% 6.07/6.14 cnf(1362,plain,
% 6.07/6.14 (~P1(f2(a3,a4),f2(x13621,x13621))),
% 6.07/6.14 inference(scs_inference,[],[111,1342,1354,1315,18,7])).
% 6.07/6.14 cnf(1366,plain,
% 6.07/6.14 (E(f2(a4,x13661),f2(f2(f2(x13662,x13662),x13662),f2(a1,a1)))),
% 6.07/6.14 inference(scs_inference,[],[111,1342,1314,1354,1315,1226,1031,18,7,3,2])).
% 6.07/6.14 cnf(1367,plain,
% 6.07/6.14 (~E(f2(f2(f2(x13671,x13671),x13672),a4),f2(a3,a4))),
% 6.07/6.14 inference(scs_inference,[],[111,1342,1314,1354,1315,1226,1031,818,18,7,3,2,6])).
% 6.07/6.14 cnf(1371,plain,
% 6.07/6.14 (E(f2(f2(x13711,a1),a4),f2(f2(f2(x13712,x13712),x13713),f2(a1,a1)))),
% 6.07/6.14 inference(scs_inference,[],[1315,897,18])).
% 6.07/6.14 cnf(1375,plain,
% 6.07/6.14 (P1(f2(f2(x13751,a1),f2(x13752,x13752)),f2(f2(f2(a1,a1),f2(a4,a1)),f2(x13753,x13753)))),
% 6.07/6.14 inference(scs_inference,[],[1341,1350,1315,897,18,7])).
% 6.07/6.14 cnf(1382,plain,
% 6.07/6.14 (~P1(f2(a3,f2(f2(x13821,a1),f2(x13822,a1))),f2(x13823,x13823))),
% 6.07/6.14 inference(scs_inference,[],[111,1341,1362,1367,1350,864,1315,739,897,18,7,3,2,6])).
% 6.07/6.14 cnf(1391,plain,
% 6.07/6.14 (E(f2(f2(a1,a1),x13911),f2(f2(f2(x13912,x13912),x13912),f2(a1,a1)))),
% 6.07/6.14 inference(scs_inference,[],[101,114,1358,1356,1329,933,11,18,7,3,2])).
% 6.07/6.14 cnf(1392,plain,
% 6.07/6.14 (P1(f2(f2(a1,a1),x13921),f2(f2(f2(a1,a1),f2(a4,a1)),f2(x13922,x13922)))),
% 6.07/6.14 inference(scs_inference,[],[101,114,1358,1375,1356,1329,933,11,18,7,3,2,6])).
% 6.07/6.14 cnf(1397,plain,
% 6.07/6.14 (E(f2(f2(x13971,x13971),f2(x13971,x13971)),f2(f2(f2(a4,a1),a4),f2(a1,a1)))),
% 6.07/6.14 inference(scs_inference,[],[1354,1124,18])).
% 6.07/6.14 cnf(1401,plain,
% 6.07/6.14 (~P1(f2(a3,f2(a3,a4)),f2(f2(a1,a1),x14011))),
% 6.07/6.14 inference(scs_inference,[],[1391,950,1354,1124,18,7])).
% 6.07/6.14 cnf(1403,plain,
% 6.07/6.14 (E(f2(f2(f2(x14031,a4),f2(a1,a4)),a4),f2(x14032,x14032))),
% 6.07/6.14 inference(scs_inference,[],[111,1391,950,807,1354,1124,18,7,3])).
% 6.07/6.14 cnf(1407,plain,
% 6.07/6.14 (~E(f2(x14071,a1),f2(a3,f2(f2(x14072,a1),f2(x14073,a1))))),
% 6.07/6.14 inference(scs_inference,[],[111,1391,950,807,1382,433,1354,556,1124,18,7,3,2,6])).
% 6.07/6.14 cnf(1417,plain,
% 6.07/6.14 (P1(f2(f2(x14171,x14171),x14172),f2(f2(f2(x14173,x14173),x14174),f2(a1,a1)))),
% 6.07/6.14 inference(scs_inference,[],[108,1371,284,24,18,7])).
% 6.07/6.14 cnf(1421,plain,
% 6.07/6.14 (E(f2(f2(f2(a4,a1),a4),f2(a1,a1)),f2(f2(x14211,x14211),f2(x14211,x14211)))),
% 6.07/6.14 inference(scs_inference,[],[108,114,1397,1371,284,8,24,18,7,3,2])).
% 6.07/6.14 cnf(1422,plain,
% 6.07/6.14 (~P1(f2(a1,a4),f2(f2(f2(a1,a1),f2(x14221,a1)),f2(a1,a1)))),
% 6.07/6.14 inference(scs_inference,[],[108,114,1397,1319,1371,254,284,8,24,18,7,3,2,6])).
% 6.07/6.14 cnf(1430,plain,
% 6.07/6.14 (P1(f2(f2(x14301,x14301),x14302),f2(f2(x14303,x14303),f2(a1,a1)))),
% 6.07/6.14 inference(scs_inference,[],[119,1417,1215,11,18,7])).
% 6.07/6.14 cnf(1432,plain,
% 6.07/6.14 (E(f2(f2(x14321,x14321),x14322),f2(f2(x14323,x14323),x14322))),
% 6.07/6.14 inference(rename_variables,[],[119])).
% 6.07/6.14 cnf(1435,plain,
% 6.07/6.14 (P1(f2(f2(x14351,x14351),x14352),f2(f2(f2(a1,a1),f2(a4,a1)),f2(x14353,x14353)))),
% 6.07/6.14 inference(scs_inference,[],[119,1432,1392,1417,1026,1407,1215,1185,11,18,7,3,2,6])).
% 6.07/6.14 cnf(1439,plain,
% 6.07/6.14 (P1(f2(a4,x14391),x14392)),
% 6.07/6.14 inference(rename_variables,[],[120])).
% 6.07/6.14 cnf(1443,plain,
% 6.07/6.14 (E(f2(f2(x14431,x14431),x14432),f2(f2(x14433,x14433),x14432))),
% 6.07/6.14 inference(rename_variables,[],[119])).
% 6.07/6.14 cnf(1444,plain,
% 6.07/6.14 (E(f2(f2(f2(a4,a1),a4),f2(a1,a1)),f2(f2(x14441,x14441),f2(x14442,x14442)))),
% 6.07/6.14 inference(scs_inference,[],[119,1443,120,1421,1401,1258,18,7,3])).
% 6.07/6.14 cnf(1447,plain,
% 6.07/6.14 (~E(f2(a4,x14471),f2(a3,f2(a3,f2(x14472,x14472))))),
% 6.07/6.14 inference(scs_inference,[],[116,119,1443,120,1439,1421,1401,1258,18,7,3,6])).
% 6.07/6.14 cnf(1449,plain,
% 6.07/6.14 (E(f2(a4,x14491),f2(f2(f2(a1,a1),f2(a4,a1)),f2(x14492,x14492)))),
% 6.07/6.14 inference(scs_inference,[],[116,119,1443,120,1439,1421,1401,1248,1258,18,7,3,6,2])).
% 6.07/6.14 cnf(1450,plain,
% 6.07/6.14 (E(f2(f2(x14501,a1),f2(x14502,x14502)),f2(a4,x14503))),
% 6.07/6.14 inference(scs_inference,[],[120,1350,18])).
% 6.07/6.14 cnf(1452,plain,
% 6.07/6.14 (P1(f2(a4,x14521),x14522)),
% 6.07/6.14 inference(rename_variables,[],[120])).
% 6.07/6.14 cnf(1456,plain,
% 6.07/6.14 (~E(f2(a4,x14561),f2(f2(a3,f2(a3,a4)),f2(a3,a4)))),
% 6.07/6.14 inference(scs_inference,[],[114,120,1452,1347,339,1350,9,18,2,3,6])).
% 6.07/6.14 cnf(1464,plain,
% 6.07/6.14 (P1(f2(a4,x14641),x14642)),
% 6.07/6.14 inference(rename_variables,[],[120])).
% 6.07/6.14 cnf(1466,plain,
% 6.07/6.14 (~E(f2(f2(x14661,x14661),x14662),f2(f2(a3,f2(a3,a4)),f2(x14663,a1)))),
% 6.07/6.14 inference(scs_inference,[],[119,120,1213,1456,18,3])).
% 6.07/6.14 cnf(1470,plain,
% 6.07/6.14 (P1(f2(f2(a4,x14701),x14702),x14703)),
% 6.07/6.14 inference(scs_inference,[],[123,119,120,1464,1444,1213,1456,18,3,2,6])).
% 6.07/6.14 cnf(1475,plain,
% 6.07/6.14 (P1(f2(f2(a4,x14751),x14752),x14753)),
% 6.07/6.14 inference(rename_variables,[],[1470])).
% 6.07/6.14 cnf(1481,plain,
% 6.07/6.14 (~E(f2(f2(a3,f2(a3,a4)),f2(x14811,a1)),f2(f2(x14812,x14812),x14813))),
% 6.07/6.14 inference(scs_inference,[],[120,1470,1466,1366,1450,18,3,2])).
% 6.07/6.14 cnf(1484,plain,
% 6.07/6.14 (E(f2(x14841,f2(a4,x14842)),f2(x14841,f2(a4,x14843)))),
% 6.07/6.14 inference(scs_inference,[],[112,120,1470,1475,1466,1366,1450,18,3,2,6,5])).
% 6.07/6.14 cnf(1489,plain,
% 6.07/6.14 (E(f2(f2(f2(x14891,x14891),f2(x14891,x14891)),f2(a1,a1)),f2(f2(x14892,x14892),a4))),
% 6.07/6.14 inference(scs_inference,[],[1430,894,18])).
% 6.07/6.14 cnf(1495,plain,
% 6.07/6.14 (E(f2(x14951,x14951),f2(f2(f2(x14952,a4),f2(a1,a4)),a4))),
% 6.07/6.14 inference(scs_inference,[],[111,1430,1323,1403,894,18,7,2])).
% 6.07/6.14 cnf(1502,plain,
% 6.07/6.14 (~E(f2(f2(a3,f2(a3,a4)),f2(x15021,a1)),f2(f2(x15022,x15022),x15023))),
% 6.07/6.14 inference(rename_variables,[],[1481])).
% 6.07/6.14 cnf(1506,plain,
% 6.07/6.14 (~E(f2(f2(a3,f2(a3,a4)),f2(a4,x15061)),f2(f2(x15062,x15062),x15063))),
% 6.07/6.14 inference(scs_inference,[],[1481,1502,1447,1470,1484,18,2,3])).
% 6.07/6.14 cnf(1509,plain,
% 6.07/6.14 (P1(f2(f2(f2(a1,a1),f2(a4,a1)),f2(x15091,x15091)),x15092)),
% 6.07/6.14 inference(scs_inference,[],[120,1481,1502,1449,1447,1470,1484,18,2,3,6])).
% 6.07/6.14 cnf(1515,plain,
% 6.07/6.14 (P1(f2(f2(f2(a1,a1),f2(a4,a1)),f2(x15151,x15151)),x15152)),
% 6.07/6.14 inference(rename_variables,[],[1509])).
% 6.07/6.14 cnf(1517,plain,
% 6.07/6.14 (E(f2(f2(x15171,x15171),a4),f2(f2(f2(x15172,x15172),f2(x15172,x15172)),f2(a1,a1)))),
% 6.07/6.14 inference(scs_inference,[],[1435,1509,1489,18,2])).
% 6.07/6.14 cnf(1521,plain,
% 6.07/6.14 (~E(f2(f2(f2(a1,a1),f2(a4,a1)),f2(x15211,x15211)),a1)),
% 6.07/6.14 inference(scs_inference,[],[112,127,1435,1509,1515,1489,227,18,2,3,6])).
% 6.07/6.14 cnf(1528,plain,
% 6.07/6.14 (~E(f2(f2(a3,f2(a3,a4)),f2(a4,x15281)),f2(x15282,x15282))),
% 6.07/6.14 inference(scs_inference,[],[1506,1495,1521,1509,18,3])).
% 6.07/6.14 cnf(1554,plain,
% 6.07/6.14 (E(f2(x15541,f2(x15542,x15542)),f2(x15541,f2(x15543,x15543)))),
% 6.07/6.14 inference(rename_variables,[],[127])).
% 6.07/6.14 cnf(1557,plain,
% 6.07/6.14 (~E(f2(x15571,x15571),f2(f2(a3,f2(a3,a4)),f2(a4,x15572)))),
% 6.07/6.14 inference(scs_inference,[],[127,1554,120,1422,1528,1517,1273,18,7,3,2])).
% 6.07/6.14 cnf(1573,plain,
% 6.07/6.14 ($false),
% 6.07/6.14 inference(scs_inference,[],[1557,14,24,18]),
% 6.07/6.14 ['proof']).
% 6.07/6.14 % SZS output end Proof
% 6.07/6.14 % Total time :5.560000s
%------------------------------------------------------------------------------