TSTP Solution File: HEN011-4 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : HEN011-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:54:11 EDT 2023
% Result : Unsatisfiable 8.57s 8.64s
% Output : CNFRefutation 8.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN011-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 13:19:20 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.21/0.56 start to proof:theBenchmark
% 8.57/8.63 %-------------------------------------------
% 8.57/8.63 % File :CSE---1.6
% 8.57/8.63 % Problem :theBenchmark
% 8.57/8.63 % Transform :cnf
% 8.57/8.63 % Format :tptp:raw
% 8.57/8.63 % Command :java -jar mcs_scs.jar %d %s
% 8.57/8.63
% 8.57/8.63 % Result :Theorem 8.010000s
% 8.57/8.63 % Output :CNFRefutation 8.010000s
% 8.57/8.63 %-------------------------------------------
% 8.57/8.63 %--------------------------------------------------------------------------
% 8.57/8.63 % File : HEN011-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 8.57/8.63 % Domain : Henkin Models
% 8.57/8.63 % Problem : This operation is commutative
% 8.57/8.63 % Version : [MOW76] axioms : Augmented.
% 8.57/8.63 % English : Define & on the set of Z', where Z' = identity/Z,
% 8.57/8.63 % by X' & Y' = X'/(identity/Y'). The operation is commutative.
% 8.57/8.63
% 8.57/8.63 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 8.57/8.63 % Source : [ANL]
% 8.57/8.63 % Names : hp11.ver2.in [ANL]
% 8.57/8.63
% 8.57/8.63 % Status : Unsatisfiable
% 8.57/8.63 % Rating : 0.08 v8.1.0, 0.00 v7.4.0, 0.11 v7.2.0, 0.12 v7.1.0, 0.14 v6.3.0, 0.17 v6.2.0, 0.00 v6.0.0, 0.33 v5.5.0, 0.38 v5.4.0, 0.33 v5.2.0, 0.25 v5.1.0, 0.14 v5.0.0, 0.29 v4.1.0, 0.33 v4.0.1, 0.17 v3.7.0, 0.00 v3.4.0, 0.17 v3.3.0, 0.29 v3.2.0, 0.14 v3.1.0, 0.11 v2.7.0, 0.00 v2.6.0, 0.14 v2.5.0, 0.00 v2.4.0, 0.17 v2.3.0, 0.00 v2.2.1, 0.50 v2.2.0, 0.33 v2.1.0, 0.33 v2.0.0
% 8.57/8.63 % Syntax : Number of clauses : 18 ( 11 unt; 0 nHn; 7 RR)
% 8.57/8.63 % Number of literals : 27 ( 10 equ; 10 neg)
% 8.57/8.63 % Maximal clause size : 3 ( 1 avg)
% 8.57/8.63 % Maximal term depth : 4 ( 1 avg)
% 8.57/8.63 % Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% 8.57/8.63 % Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% 8.57/8.63 % Number of variables : 30 ( 5 sgn)
% 8.57/8.63 % SPC : CNF_UNS_RFO_SEQ_HRN
% 8.57/8.63
% 8.57/8.63 % Comments :
% 8.57/8.63 % Bugfixes : v1.2.1 - Clauses identity_divide_a, identity_divide_b,
% 8.57/8.63 % identity_divide_c, identity_divide_d, and prove_commutativity,
% 8.57/8.63 % removed.
% 8.57/8.63 %--------------------------------------------------------------------------
% 8.57/8.63 %----Include Henkin model axioms for equality formulation
% 8.57/8.63 include('Axioms/HEN002-0.ax').
% 8.57/8.63 %--------------------------------------------------------------------------
% 8.57/8.63 cnf(everything_divide_id_is_zero,axiom,
% 8.57/8.63 divide(X,identity) = zero ).
% 8.57/8.63
% 8.57/8.63 cnf(zero_divide_anything_is_zero,axiom,
% 8.57/8.63 divide(zero,X) = zero ).
% 8.57/8.63
% 8.57/8.63 cnf(x_divide_x_is_zero,axiom,
% 8.57/8.63 divide(X,X) = zero ).
% 8.57/8.63
% 8.57/8.63 cnf(x_divide_zero_is_x,axiom,
% 8.57/8.63 divide(a,zero) = a ).
% 8.57/8.63
% 8.57/8.63 cnf(transitivity_of_less_equal,axiom,
% 8.57/8.63 ( ~ less_equal(X,Y)
% 8.57/8.63 | ~ less_equal(Y,Z)
% 8.57/8.63 | less_equal(X,Z) ) ).
% 8.57/8.63
% 8.57/8.64 cnf(property_of_divide1,axiom,
% 8.57/8.64 ( ~ less_equal(divide(X,Y),Z)
% 8.57/8.64 | less_equal(divide(X,Z),Y) ) ).
% 8.57/8.64
% 8.57/8.64 cnf(property_of_divide2,axiom,
% 8.57/8.64 ( ~ less_equal(X,Y)
% 8.57/8.64 | less_equal(divide(Z,Y),divide(Z,X)) ) ).
% 8.57/8.64
% 8.57/8.64 cnf(property_of_divide3,axiom,
% 8.57/8.64 ( ~ less_equal(X,Y)
% 8.57/8.64 | less_equal(divide(X,Z),divide(Y,Z)) ) ).
% 8.57/8.64
% 8.57/8.64 cnf(one_inversion_equals_three,axiom,
% 8.57/8.64 divide(identity,divide(identity,divide(identity,X))) = divide(identity,X) ).
% 8.57/8.64
% 8.57/8.64 cnf(property_of_inversion,axiom,
% 8.57/8.64 divide(divide(identity,X),divide(identity,divide(identity,X))) = divide(identity,X) ).
% 8.57/8.64
% 8.57/8.64 cnf(prove_this,negated_conjecture,
% 8.57/8.64 divide(divide(identity,a),divide(identity,divide(identity,b))) != divide(divide(identity,b),divide(identity,divide(identity,a))) ).
% 8.57/8.64
% 8.57/8.64 %----This is an alternate way of writing the theorem
% 8.57/8.64 %input_clause(identity_divide_a,negated_conjecture,
% 8.57/8.64 % [++equal(divide(identity,a),c)]).
% 8.57/8.64 %
% 8.57/8.64 %input_clause(identity_divide_b,negated_conjecture,
% 8.57/8.64 % [++equal(divide(identity,b),d)]).
% 8.57/8.64 %
% 8.57/8.64 %input_clause(identity_divide_c,negated_conjecture,
% 8.57/8.64 % [++equal(divide(identity,c),e)]).
% 8.57/8.64 %
% 8.57/8.64 %input_clause(identity_divide_d,negated_conjecture,
% 8.57/8.64 % [++equal(divide(identity,d),g)]).
% 8.57/8.64 %
% 8.57/8.64 %input_clause(prove_commutativity,negated_conjecture,
% 8.57/8.64 % [--equal(divide(c,g),divide(d,e))]).
% 8.57/8.64 %--------------------------------------------------------------------------
% 8.57/8.64 %-------------------------------------------
% 8.57/8.64 % Proof found
% 8.57/8.64 % SZS status Theorem for theBenchmark
% 8.57/8.64 % SZS output start Proof
% 8.57/8.64 %ClaNum:25(EqnAxiom:7)
% 8.57/8.64 %VarNum:59(SingletonVarNum:30)
% 8.57/8.64 %MaxLitNum:3
% 8.57/8.64 %MaxfuncDepth:3
% 8.57/8.64 %SharedTerms:13
% 8.57/8.64 %goalClause: 18
% 8.57/8.64 %singleGoalClaCount:1
% 8.57/8.64 [8]E(f3(a1,a2),a1)
% 8.57/8.64 [18]~E(f3(f3(a5,a4),f3(a5,f3(a5,a1))),f3(f3(a5,a1),f3(a5,f3(a5,a4))))
% 8.57/8.64 [11]P1(x111,a5)
% 8.57/8.64 [12]P1(a2,x121)
% 8.57/8.64 [9]E(f3(x91,a5),a2)
% 8.57/8.64 [10]E(f3(a2,x101),a2)
% 8.57/8.64 [13]E(f3(x131,x131),a2)
% 8.57/8.64 [15]E(f3(a5,f3(a5,f3(a5,x151))),f3(a5,x151))
% 8.57/8.64 [16]E(f3(f3(a5,x161),f3(a5,f3(a5,x161))),f3(a5,x161))
% 8.57/8.64 [14]P1(f3(x141,x142),x141)
% 8.57/8.64 [17]P1(f3(f3(x171,x172),f3(x173,x172)),f3(f3(x171,x173),x172))
% 8.57/8.64 [19]~P1(x191,x192)+E(f3(x191,x192),a2)
% 8.57/8.64 [20]P1(x201,x202)+~E(f3(x201,x202),a2)
% 8.57/8.64 [23]~P1(x233,x232)+P1(f3(x231,x232),f3(x231,x233))
% 8.57/8.64 [24]~P1(x241,x243)+P1(f3(x241,x242),f3(x243,x242))
% 8.57/8.64 [25]~P1(f3(x251,x253),x252)+P1(f3(x251,x252),x253)
% 8.57/8.64 [21]~P1(x212,x211)+~P1(x211,x212)+E(x211,x212)
% 8.57/8.64 [22]~P1(x221,x223)+P1(x221,x222)+~P1(x223,x222)
% 8.57/8.64 %EqnAxiom
% 8.57/8.64 [1]E(x11,x11)
% 8.57/8.64 [2]E(x22,x21)+~E(x21,x22)
% 8.57/8.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 8.57/8.64 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 8.57/8.64 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 8.57/8.64 [6]P1(x62,x63)+~E(x61,x62)+~P1(x61,x63)
% 8.57/8.64 [7]P1(x73,x72)+~E(x71,x72)+~P1(x73,x71)
% 8.57/8.64
% 8.57/8.64 %-------------------------------------------
% 8.57/8.65 cnf(26,plain,
% 8.57/8.65 (E(a1,f3(a1,a2))),
% 8.57/8.65 inference(scs_inference,[],[8,2])).
% 8.57/8.65 cnf(27,plain,
% 8.57/8.65 (P1(x271,x271)),
% 8.57/8.65 inference(scs_inference,[],[8,13,2,20])).
% 8.57/8.65 cnf(29,plain,
% 8.57/8.65 (P1(f3(f3(a1,a2),x291),a1)),
% 8.57/8.65 inference(scs_inference,[],[8,14,13,2,20,7])).
% 8.57/8.65 cnf(30,plain,
% 8.57/8.65 (P1(f3(x301,x302),x301)),
% 8.57/8.65 inference(rename_variables,[],[14])).
% 8.57/8.65 cnf(31,plain,
% 8.57/8.65 (P1(a1,f3(a1,a2))),
% 8.57/8.65 inference(scs_inference,[],[8,14,13,2,20,7,6])).
% 8.57/8.65 cnf(32,plain,
% 8.57/8.65 (E(f3(a5,f3(a5,f3(a5,a5))),a2)),
% 8.57/8.65 inference(scs_inference,[],[8,14,13,9,15,2,20,7,6,3])).
% 8.57/8.65 cnf(35,plain,
% 8.57/8.65 (E(f3(x351,f3(a1,a2)),f3(x351,a1))),
% 8.57/8.65 inference(scs_inference,[],[8,14,13,9,15,2,20,7,6,3,5])).
% 8.57/8.65 cnf(36,plain,
% 8.57/8.65 (E(f3(f3(a1,a2),x361),f3(a1,x361))),
% 8.57/8.65 inference(scs_inference,[],[8,14,13,9,15,2,20,7,6,3,5,4])).
% 8.57/8.65 cnf(37,plain,
% 8.57/8.65 (P1(f3(x371,x372),f3(a5,x372))),
% 8.57/8.65 inference(scs_inference,[],[11,8,14,13,9,15,2,20,7,6,3,5,4,24])).
% 8.57/8.65 cnf(41,plain,
% 8.57/8.65 (E(f3(f3(x411,x412),x411),a2)),
% 8.57/8.65 inference(scs_inference,[],[11,8,14,30,13,9,15,2,20,7,6,3,5,4,24,23,19])).
% 8.57/8.65 cnf(43,plain,
% 8.57/8.65 (P1(f3(x431,a5),x432)),
% 8.57/8.65 inference(scs_inference,[],[11,8,14,30,13,9,15,2,20,7,6,3,5,4,24,23,19,25])).
% 8.57/8.65 cnf(46,plain,
% 8.57/8.65 (~P1(f3(f3(a5,a4),f3(a5,f3(a5,a1))),f3(f3(a5,a1),f3(a5,f3(a5,a4))))+~P1(f3(f3(a5,a1),f3(a5,f3(a5,a4))),f3(f3(a5,a4),f3(a5,f3(a5,a1))))),
% 8.57/8.65 inference(scs_inference,[],[18,11,8,14,30,13,9,15,2,20,7,6,3,5,4,24,23,19,25,21])).
% 8.57/8.65 cnf(48,plain,
% 8.57/8.65 (~P1(f3(f3(a5,a4),f3(a5,f3(a5,a1))),f3(f3(a5,a1),f3(a5,f3(a5,a4))))+~P1(f3(f3(a5,a1),f3(a5,f3(a5,a4))),a2)),
% 8.57/8.65 inference(scs_inference,[],[18,11,12,8,14,30,13,9,15,2,20,7,6,3,5,4,24,23,19,25,21,22])).
% 8.57/8.65 cnf(51,plain,
% 8.57/8.65 (~E(f3(f3(a5,a1),f3(a5,f3(a5,a4))),f3(f3(a5,a4),f3(a5,f3(a5,a1))))),
% 8.57/8.65 inference(scs_inference,[],[18,2])).
% 8.57/8.65 cnf(52,plain,
% 8.57/8.65 (E(f3(f3(x521,x522),a5),f3(f3(x521,a5),f3(x522,a5)))),
% 8.57/8.65 inference(scs_inference,[],[18,17,43,2,21])).
% 8.57/8.65 cnf(53,plain,
% 8.57/8.65 (P1(f3(f3(x531,x532),f3(x533,x532)),f3(f3(x531,x533),x532))),
% 8.57/8.65 inference(rename_variables,[],[17])).
% 8.57/8.65 cnf(56,plain,
% 8.57/8.65 (P1(f3(f3(x561,x562),f3(x563,x562)),f3(x561,x563))),
% 8.57/8.65 inference(scs_inference,[],[18,17,53,14,43,2,21,22])).
% 8.57/8.65 cnf(59,plain,
% 8.57/8.65 (~E(a2,x591)+E(f3(a2,x592),x591)),
% 8.57/8.65 inference(scs_inference,[],[18,10,17,53,14,43,2,21,22,3])).
% 8.57/8.65 cnf(60,plain,
% 8.57/8.65 (P1(f3(f3(x601,f3(x601,x602)),f3(x602,f3(x601,x602))),a2)),
% 8.57/8.65 inference(scs_inference,[],[18,10,17,53,14,13,43,2,21,22,3,7])).
% 8.57/8.65 cnf(62,plain,
% 8.57/8.65 (P1(f3(f3(x621,x622),f3(x623,x622)),f3(f3(x621,x623),x622))),
% 8.57/8.65 inference(rename_variables,[],[17])).
% 8.57/8.65 cnf(63,plain,
% 8.57/8.65 (P1(f3(f3(x631,a2),a1),f3(f3(x631,a1),a2))),
% 8.57/8.65 inference(scs_inference,[],[18,10,17,53,62,14,13,43,35,2,21,22,3,7,6])).
% 8.57/8.65 cnf(67,plain,
% 8.57/8.65 (E(f3(f3(x671,a5),f3(x672,a5)),f3(f3(x671,x672),a5))),
% 8.57/8.65 inference(scs_inference,[],[17,43,21])).
% 8.57/8.65 cnf(71,plain,
% 8.57/8.65 (E(f3(a5,x711),f3(f3(a5,x711),f3(a5,f3(a5,x711))))),
% 8.57/8.65 inference(scs_inference,[],[16,17,43,21,2])).
% 8.57/8.65 cnf(72,plain,
% 8.57/8.65 (P1(f3(a2,x721),x722)),
% 8.57/8.65 inference(scs_inference,[],[16,12,17,14,43,21,2,22])).
% 8.57/8.65 cnf(75,plain,
% 8.57/8.65 (~E(x751,f3(f3(a5,a4),f3(a5,f3(a5,a1))))+~E(f3(f3(a5,a1),f3(a5,f3(a5,a4))),x751)),
% 8.57/8.65 inference(scs_inference,[],[16,12,17,14,51,43,21,2,22,3])).
% 8.57/8.65 cnf(78,plain,
% 8.57/8.65 (E(f3(x781,a1),f3(x781,f3(a1,a2)))),
% 8.57/8.65 inference(scs_inference,[],[26,5])).
% 8.57/8.65 cnf(79,plain,
% 8.57/8.65 (E(f3(a5,f3(a5,f3(a5,x791))),f3(f3(a5,x791),f3(a5,f3(a5,x791))))),
% 8.57/8.65 inference(scs_inference,[],[26,15,71,5,3])).
% 8.57/8.65 cnf(81,plain,
% 8.57/8.65 (E(a2,f3(a2,x811))),
% 8.57/8.65 inference(scs_inference,[],[26,15,12,14,71,5,3,21])).
% 8.57/8.65 cnf(85,plain,
% 8.57/8.65 (P1(f3(f3(f3(x851,x852),x853),f3(f3(x854,x852),x853)),f3(f3(x851,x854),x852))),
% 8.57/8.65 inference(scs_inference,[],[26,15,12,17,14,56,71,5,3,21,22])).
% 8.57/8.65 cnf(88,plain,
% 8.57/8.65 (E(f3(a2,x881),f3(a2,x882))),
% 8.57/8.65 inference(scs_inference,[],[81,59])).
% 8.57/8.65 cnf(89,plain,
% 8.57/8.65 (E(f3(x891,a5),f3(a2,x892))),
% 8.57/8.65 inference(scs_inference,[],[9,81,59,3])).
% 8.57/8.65 cnf(90,plain,
% 8.57/8.65 (P1(f3(f3(f3(x901,x902),f3(x903,x902)),x904),f3(f3(f3(x901,x903),x902),x904))),
% 8.57/8.65 inference(scs_inference,[],[9,17,81,59,3,24])).
% 8.57/8.65 cnf(92,plain,
% 8.57/8.65 (P1(f3(x921,x922),f3(x921,a2))),
% 8.57/8.65 inference(scs_inference,[],[9,12,17,81,59,3,24,23])).
% 8.57/8.65 cnf(94,plain,
% 8.57/8.65 (P1(a5,f3(a5,f3(a5,a5)))),
% 8.57/8.65 inference(scs_inference,[],[9,12,17,32,81,59,3,24,23,20])).
% 8.57/8.65 cnf(96,plain,
% 8.57/8.65 (P1(f3(x961,f3(x961,x962)),x962)),
% 8.57/8.65 inference(scs_inference,[],[9,27,12,17,32,81,59,3,24,23,20,25])).
% 8.57/8.65 cnf(99,plain,
% 8.57/8.65 (E(f3(f3(f3(x991,x992),f3(x993,x992)),f3(f3(x991,x993),x992)),a2)),
% 8.57/8.65 inference(scs_inference,[],[9,27,12,17,32,81,59,3,24,23,20,25,19])).
% 8.57/8.65 cnf(101,plain,
% 8.57/8.65 (E(f3(f3(x1011,a5),x1012),f3(a2,x1012))),
% 8.57/8.65 inference(scs_inference,[],[9,27,12,17,32,81,59,3,24,23,20,25,19,4])).
% 8.57/8.65 cnf(102,plain,
% 8.57/8.65 (E(f3(f3(f3(x1021,a5),x1022),f3(f3(x1023,a5),x1022)),f3(f3(x1021,x1023),a5))),
% 8.57/8.65 inference(scs_inference,[],[9,27,12,17,85,32,81,43,59,3,24,23,20,25,19,4,21])).
% 8.57/8.65 cnf(109,plain,
% 8.57/8.65 (P1(f3(f3(x1091,a5),x1092),a2)),
% 8.57/8.65 inference(scs_inference,[],[9,14,36,63,6,7])).
% 8.57/8.65 cnf(127,plain,
% 8.57/8.65 (E(a2,f3(x1271,x1271))),
% 8.57/8.65 inference(scs_inference,[],[10,13,90,43,4,21,2])).
% 8.57/8.65 cnf(128,plain,
% 8.57/8.65 (E(f3(f3(x1281,a5),x1282),a2)),
% 8.57/8.65 inference(scs_inference,[],[10,13,90,101,43,4,21,2,3])).
% 8.57/8.65 cnf(130,plain,
% 8.57/8.65 (E(f3(a2,x1301),f3(x1302,x1302))),
% 8.57/8.65 inference(scs_inference,[],[10,13,90,101,43,4,21,2,3,59])).
% 8.57/8.65 cnf(135,plain,
% 8.57/8.65 (E(f3(x1351,f3(x1351,a2)),a2)),
% 8.57/8.65 inference(scs_inference,[],[12,96,21])).
% 8.57/8.65 cnf(139,plain,
% 8.57/8.65 (E(f3(x1391,x1391),f3(x1392,x1392))),
% 8.57/8.65 inference(scs_inference,[],[13,12,96,127,21,3])).
% 8.57/8.65 cnf(140,plain,
% 8.57/8.65 (E(f3(a5,x1401),f3(a5,f3(a5,f3(a5,x1401))))),
% 8.57/8.65 inference(scs_inference,[],[15,13,12,96,127,21,3,2])).
% 8.57/8.65 cnf(141,plain,
% 8.57/8.65 (P1(f3(f3(a1,a2),a1),x1411)),
% 8.57/8.65 inference(scs_inference,[],[29,25])).
% 8.57/8.65 cnf(143,plain,
% 8.57/8.65 (P1(f3(x1431,f3(a1,a2)),f3(x1431,a1))),
% 8.57/8.65 inference(scs_inference,[],[31,29,25,23])).
% 8.57/8.65 cnf(145,plain,
% 8.57/8.65 (P1(f3(a1,x1451),f3(f3(a1,a2),x1451))),
% 8.57/8.65 inference(scs_inference,[],[31,29,25,23,24])).
% 8.57/8.65 cnf(147,plain,
% 8.57/8.65 (P1(x1471,f3(x1471,a2))),
% 8.57/8.65 inference(scs_inference,[],[31,29,135,25,23,24,20])).
% 8.57/8.65 cnf(149,plain,
% 8.57/8.65 (E(f3(f3(f3(a1,a2),x1491),a1),a2)),
% 8.57/8.65 inference(scs_inference,[],[31,29,135,25,23,24,20,19])).
% 8.57/8.65 cnf(151,plain,
% 8.57/8.65 (E(f3(x1511,f3(a5,f3(a5,f3(a5,a5)))),f3(x1511,a2))),
% 8.57/8.65 inference(scs_inference,[],[32,5])).
% 8.57/8.65 cnf(152,plain,
% 8.57/8.65 (E(f3(f3(a5,f3(a5,f3(a5,a5))),x1521),f3(a2,x1521))),
% 8.57/8.65 inference(scs_inference,[],[32,5,4])).
% 8.57/8.65 cnf(153,plain,
% 8.57/8.65 (P1(f3(x1531,x1531),x1532)),
% 8.57/8.65 inference(scs_inference,[],[12,127,6])).
% 8.57/8.65 cnf(154,plain,
% 8.57/8.65 (P1(f3(f3(x1541,f3(a1,a2)),f3(x1542,f3(a1,a2))),f3(f3(x1541,x1542),a1))),
% 8.57/8.65 inference(scs_inference,[],[12,35,17,127,6,7])).
% 8.57/8.65 cnf(155,plain,
% 8.57/8.65 (P1(f3(f3(x1551,x1552),f3(x1553,x1552)),f3(f3(x1551,x1553),x1552))),
% 8.57/8.65 inference(rename_variables,[],[17])).
% 8.57/8.65 cnf(156,plain,
% 8.57/8.65 (E(f3(x1561,f3(a1,a2)),f3(x1561,a1))),
% 8.57/8.65 inference(rename_variables,[],[35])).
% 8.57/8.65 cnf(157,plain,
% 8.57/8.65 (E(a1,f3(f3(a1,a2),x1571))+~P1(a1,f3(f3(a1,a2),x1571))),
% 8.57/8.65 inference(scs_inference,[],[12,35,29,17,127,6,7,21])).
% 8.57/8.65 cnf(159,plain,
% 8.57/8.65 (E(f3(f3(a5,f3(a1,a2)),f3(a5,f3(a5,f3(a1,a2)))),f3(a5,a1))),
% 8.57/8.65 inference(scs_inference,[],[12,35,156,29,16,17,127,6,7,21,3])).
% 8.57/8.65 cnf(162,plain,
% 8.57/8.65 (P1(f3(f3(a1,x1621),f3(a2,x1621)),a1)),
% 8.57/8.65 inference(scs_inference,[],[12,35,156,29,16,17,155,127,6,7,21,3,22])).
% 8.57/8.65 cnf(165,plain,
% 8.57/8.65 (P1(f3(x1651,a1),f3(x1651,f3(a1,a2)))),
% 8.57/8.65 inference(scs_inference,[],[35,27,6])).
% 8.57/8.65 cnf(167,plain,
% 8.57/8.65 (E(f3(f3(a1,a2),x1671),a1)+~P1(a1,f3(f3(a1,a2),x1671))),
% 8.57/8.65 inference(scs_inference,[],[35,27,29,6,21])).
% 8.57/8.65 cnf(169,plain,
% 8.57/8.65 (E(a2,f3(a5,f3(a5,f3(a5,a5))))),
% 8.57/8.65 inference(scs_inference,[],[35,27,32,29,6,21,2])).
% 8.57/8.65 cnf(170,plain,
% 8.57/8.65 (E(f3(a5,f3(a5,f3(a5,a5))),f3(x1701,x1701))),
% 8.57/8.65 inference(scs_inference,[],[35,27,32,29,127,6,21,2,3])).
% 8.57/8.65 cnf(171,plain,
% 8.57/8.65 (E(f3(a2,x1711),f3(a5,f3(a5,f3(a5,a5))))),
% 8.57/8.65 inference(scs_inference,[],[169,59])).
% 8.57/8.65 cnf(172,plain,
% 8.57/8.65 (P1(f3(f3(a1,a2),x1721),f3(a1,x1721))),
% 8.57/8.65 inference(scs_inference,[],[36,27,169,59,7])).
% 8.57/8.65 cnf(174,plain,
% 8.57/8.65 (P1(f3(f3(x1741,x1742),f3(f3(x1741,x1743),x1742)),f3(x1743,x1742))),
% 8.57/8.65 inference(scs_inference,[],[36,27,17,169,59,7,25])).
% 8.57/8.65 cnf(176,plain,
% 8.57/8.65 (P1(f3(x1761,a1),f3(x1761,f3(f3(a1,a2),x1762)))),
% 8.57/8.65 inference(scs_inference,[],[36,27,29,17,169,59,7,25,23])).
% 8.57/8.65 cnf(178,plain,
% 8.57/8.65 (P1(f3(f3(f3(a1,a2),x1781),x1782),f3(a1,x1782))),
% 8.57/8.65 inference(scs_inference,[],[36,27,29,17,169,59,7,25,23,24])).
% 8.57/8.65 cnf(180,plain,
% 8.57/8.65 (E(f3(f3(x1801,x1801),x1802),a2)),
% 8.57/8.65 inference(scs_inference,[],[36,27,29,17,153,169,59,7,25,23,24,19])).
% 8.57/8.65 cnf(182,plain,
% 8.57/8.65 (E(f3(f3(x1821,x1821),x1822),f3(a2,x1822))),
% 8.57/8.65 inference(scs_inference,[],[13,4])).
% 8.57/8.65 cnf(183,plain,
% 8.57/8.65 (E(f3(x1831,f3(x1832,x1832)),f3(x1831,a2))),
% 8.57/8.65 inference(scs_inference,[],[13,4,5])).
% 8.57/8.65 cnf(184,plain,
% 8.57/8.65 (P1(f3(f3(f3(x1841,x1842),f3(x1843,x1842)),x1844),f3(f3(x1841,x1843),x1842))),
% 8.57/8.65 inference(scs_inference,[],[14,17,22])).
% 8.57/8.65 cnf(187,plain,
% 8.57/8.65 (E(a5,f3(a5,f3(a5,a5)))),
% 8.57/8.65 inference(scs_inference,[],[14,94,21])).
% 8.57/8.65 cnf(190,plain,
% 8.57/8.65 (P1(f3(a1,f3(x1901,a2)),f3(f3(a1,x1901),a2))),
% 8.57/8.65 inference(scs_inference,[],[14,36,17,94,21,6])).
% 8.57/8.65 cnf(192,plain,
% 8.57/8.65 (E(f3(f3(a1,a2),x1921),f3(a1,x1921))),
% 8.57/8.65 inference(rename_variables,[],[36])).
% 8.57/8.65 cnf(193,plain,
% 8.57/8.65 (E(f3(f3(x1931,x1931),f3(a1,a2)),f3(a2,a1))),
% 8.57/8.65 inference(scs_inference,[],[14,36,35,17,94,182,21,6,3])).
% 8.57/8.65 cnf(195,plain,
% 8.57/8.65 (E(f3(x1951,f3(a1,a2)),f3(x1951,a1))),
% 8.57/8.65 inference(rename_variables,[],[35])).
% 8.57/8.65 cnf(196,plain,
% 8.57/8.65 (E(f3(a1,x1961),f3(f3(a1,a2),x1961))),
% 8.57/8.65 inference(scs_inference,[],[14,36,192,35,17,94,182,21,6,3,2])).
% 8.57/8.65 cnf(197,plain,
% 8.57/8.65 (P1(f3(x1971,f3(a1,a2)),f3(a5,a1))),
% 8.57/8.65 inference(scs_inference,[],[14,37,36,192,35,195,17,94,182,21,6,3,2,7])).
% 8.57/8.65 cnf(200,plain,
% 8.57/8.65 (E(a1,f3(f3(a1,a2),a2))),
% 8.57/8.65 inference(scs_inference,[],[8,147,157,6])).
% 8.57/8.65 cnf(201,plain,
% 8.57/8.65 (P1(f3(x2011,a1),f3(a5,f3(a1,a2)))),
% 8.57/8.65 inference(scs_inference,[],[37,35,6])).
% 8.57/8.65 cnf(202,plain,
% 8.57/8.65 (E(f3(x2021,f3(a1,a2)),f3(x2021,a1))),
% 8.57/8.65 inference(rename_variables,[],[35])).
% 8.57/8.65 cnf(203,plain,
% 8.57/8.65 (P1(f3(x2031,x2032),f3(a5,x2032))),
% 8.57/8.65 inference(rename_variables,[],[37])).
% 8.57/8.65 cnf(204,plain,
% 8.57/8.65 (P1(f3(x2041,f3(a5,x2042)),x2042)),
% 8.57/8.65 inference(scs_inference,[],[37,203,35,6,25])).
% 8.57/8.65 cnf(206,plain,
% 8.57/8.65 (P1(f3(x2061,f3(a5,x2062)),f3(x2061,f3(x2063,x2062)))),
% 8.57/8.65 inference(scs_inference,[],[37,203,35,6,25,23])).
% 8.57/8.65 cnf(208,plain,
% 8.57/8.65 (E(f3(f3(x2081,x2082),f3(a5,x2082)),a2)),
% 8.57/8.65 inference(scs_inference,[],[37,203,35,6,25,23,19])).
% 8.57/8.65 cnf(210,plain,
% 8.57/8.65 (P1(f3(f3(x2101,x2102),x2103),f3(f3(a5,x2102),x2103))),
% 8.57/8.65 inference(scs_inference,[],[37,203,35,6,25,23,19,24])).
% 8.57/8.65 cnf(212,plain,
% 8.57/8.65 (E(f3(f3(a1,a1),f3(a2,a1)),f3(f3(a1,a2),a1))),
% 8.57/8.65 inference(scs_inference,[],[37,203,35,17,141,6,25,23,19,24,21])).
% 8.57/8.65 cnf(213,plain,
% 8.57/8.65 (P1(f3(f3(x2131,x2132),f3(x2133,x2132)),f3(f3(x2131,x2133),x2132))),
% 8.57/8.65 inference(rename_variables,[],[17])).
% 8.57/8.65 cnf(216,plain,
% 8.57/8.65 (E(f3(a5,f3(a5,f3(a5,f3(a1,a2)))),f3(a5,a1))),
% 8.57/8.65 inference(scs_inference,[],[15,37,203,35,202,17,141,6,25,23,19,24,21,3])).
% 8.57/8.65 cnf(219,plain,
% 8.57/8.65 (P1(f3(f3(x2191,x2192),f3(x2193,x2192)),f3(a5,x2192))),
% 8.57/8.65 inference(scs_inference,[],[15,37,203,35,202,17,213,141,6,25,23,19,24,21,3,22])).
% 8.57/8.65 cnf(223,plain,
% 8.57/8.65 (P1(f3(f3(x2231,x2232),x2231),a2)),
% 8.57/8.65 inference(scs_inference,[],[15,41,37,203,27,35,202,17,213,141,6,25,23,19,24,21,3,22,7])).
% 8.57/8.65 cnf(225,plain,
% 8.57/8.65 (E(f3(f3(a5,f3(a5,f3(a5,x2251))),x2252),f3(f3(a5,x2251),x2252))),
% 8.57/8.65 inference(scs_inference,[],[15,4])).
% 8.57/8.65 cnf(226,plain,
% 8.57/8.65 (E(f3(x2261,f3(a5,f3(a5,f3(a5,x2262)))),f3(x2261,f3(a5,x2262)))),
% 8.57/8.65 inference(scs_inference,[],[15,4,5])).
% 8.57/8.65 cnf(227,plain,
% 8.57/8.65 (P1(f3(x2271,a1),f3(a5,f3(f3(a1,a2),x2272)))),
% 8.57/8.65 inference(scs_inference,[],[37,176,22])).
% 8.57/8.65 cnf(231,plain,
% 8.57/8.65 (E(a2,f3(f3(x2311,x2312),x2311))),
% 8.57/8.65 inference(scs_inference,[],[41,2])).
% 8.57/8.65 cnf(232,plain,
% 8.57/8.65 (E(f3(a2,x2321),f3(f3(x2322,x2323),x2322))),
% 8.57/8.65 inference(scs_inference,[],[41,2,59])).
% 8.57/8.65 cnf(233,plain,
% 8.57/8.65 (P1(f3(x2331,f3(a5,f3(a5,a5))),a2)),
% 8.57/8.65 inference(scs_inference,[],[41,37,32,2,59,7])).
% 8.57/8.65 cnf(236,plain,
% 8.57/8.65 (P1(f3(f3(x2361,x2362),f3(f3(x2361,x2363),x2362)),f3(x2363,x2362))),
% 8.57/8.65 inference(rename_variables,[],[174])).
% 8.57/8.65 cnf(237,plain,
% 8.57/8.65 (P1(f3(x2371,a5),x2372)),
% 8.57/8.65 inference(rename_variables,[],[43])).
% 8.57/8.65 cnf(239,plain,
% 8.57/8.65 (P1(f3(a1,f3(f3(a1,x2391),a2)),f3(x2391,a2))),
% 8.57/8.65 inference(scs_inference,[],[36,43,174,236,21,6])).
% 8.57/8.65 cnf(240,plain,
% 8.57/8.65 (P1(f3(f3(x2401,x2402),f3(f3(x2401,x2403),x2402)),f3(x2403,x2402))),
% 8.57/8.65 inference(rename_variables,[],[174])).
% 8.57/8.65 cnf(245,plain,
% 8.57/8.65 (P1(f3(f3(f3(x2451,x2452),f3(x2453,x2452)),f3(f3(x2451,x2453),x2452)),x2454)),
% 8.57/8.65 inference(scs_inference,[],[41,36,43,35,174,236,184,21,6,3,25])).
% 8.57/8.65 cnf(247,plain,
% 8.57/8.65 (P1(f3(x2471,f3(f3(x2472,x2473),x2474)),f3(x2471,f3(f3(x2472,x2474),f3(x2473,x2474))))),
% 8.57/8.65 inference(scs_inference,[],[17,41,36,43,35,174,236,184,21,6,3,25,23])).
% 8.57/8.65 cnf(249,plain,
% 8.57/8.65 (E(f3(f3(f3(x2491,x2492),f3(f3(x2491,x2493),x2492)),f3(x2493,x2492)),a2)),
% 8.57/8.65 inference(scs_inference,[],[17,41,36,43,35,174,236,240,184,21,6,3,25,23,19])).
% 8.57/8.65 cnf(251,plain,
% 8.57/8.65 (P1(f3(f3(x2511,a5),x2512),f3(x2513,x2512))),
% 8.57/8.65 inference(scs_inference,[],[17,41,36,43,237,35,174,236,240,184,21,6,3,25,23,19,24])).
% 8.57/8.65 cnf(253,plain,
% 8.57/8.65 (P1(f3(f3(x2531,f3(x2532,x2533)),f3(f3(x2531,f3(x2534,x2533)),f3(x2532,x2533))),f3(f3(x2534,x2532),x2533))),
% 8.57/8.65 inference(scs_inference,[],[17,41,36,43,237,35,174,236,240,184,21,6,3,25,23,19,24,22])).
% 8.57/8.65 cnf(265,plain,
% 8.57/8.65 (P1(f3(f3(x2651,f3(a5,f3(a5,x2652))),f3(a5,x2652)),f3(f3(x2651,a5),f3(a5,f3(a5,x2652))))),
% 8.57/8.65 inference(scs_inference,[],[17,41,43,253,226,4,5,21,6])).
% 8.57/8.65 cnf(268,plain,
% 8.57/8.65 (E(f3(f3(x2681,x2682),x2681),f3(f3(x2683,x2684),x2683))),
% 8.57/8.65 inference(scs_inference,[],[17,41,43,253,226,231,4,5,21,6,3])).
% 8.57/8.65 cnf(273,plain,
% 8.57/8.65 (E(f3(x2731,x2731),f3(a5,f3(a5,f3(a5,a5))))),
% 8.57/8.65 inference(scs_inference,[],[170,2])).
% 8.57/8.65 cnf(277,plain,
% 8.57/8.65 (P1(f3(f3(x2771,x2772),f3(x2771,x2773)),f3(x2773,x2772))),
% 8.57/8.65 inference(scs_inference,[],[56,25])).
% 8.57/8.65 cnf(283,plain,
% 8.57/8.65 (P1(f3(f3(f3(x2831,x2832),f3(x2833,x2832)),x2834),f3(f3(x2831,x2833),x2834))),
% 8.57/8.65 inference(scs_inference,[],[56,25,19,23,24])).
% 8.57/8.65 cnf(285,plain,
% 8.57/8.65 (P1(f3(f3(x2851,x2852),x2851),f3(f3(x2853,x2854),x2853))),
% 8.57/8.65 inference(scs_inference,[],[27,56,268,25,19,23,24,7])).
% 8.57/8.65 cnf(302,plain,
% 8.57/8.65 (E(f3(f3(x3021,f3(x3021,x3022)),f3(x3022,f3(x3021,x3022))),a2)),
% 8.57/8.65 inference(scs_inference,[],[60,147,12,22,21])).
% 8.57/8.65 cnf(308,plain,
% 8.57/8.65 (E(f3(f3(x3081,x3082),x3081),f3(a5,f3(a5,f3(a5,a5))))),
% 8.57/8.65 inference(scs_inference,[],[29,60,41,273,147,169,12,22,21,6,3])).
% 8.57/8.65 cnf(309,plain,
% 8.57/8.65 (P1(f3(x3091,f3(x3091,x3092)),f3(x3092,f3(x3091,x3092)))),
% 8.57/8.65 inference(scs_inference,[],[302,20])).
% 8.57/8.65 cnf(311,plain,
% 8.57/8.65 (E(f3(a5,f3(a5,f3(a5,a5))),f3(f3(x3111,x3112),x3111))),
% 8.57/8.65 inference(scs_inference,[],[308,302,20,2])).
% 8.57/8.65 cnf(312,plain,
% 8.57/8.65 (P1(f3(f3(x3121,f3(x3121,x3122)),f3(x3122,f3(x3121,x3122))),f3(f3(x3123,x3124),x3123))),
% 8.57/8.65 inference(scs_inference,[],[60,308,302,231,20,2,7])).
% 8.57/8.65 cnf(314,plain,
% 8.57/8.65 (P1(f3(f3(x3141,x3142),f3(x3143,x3142)),f3(x3141,x3143))),
% 8.57/8.65 inference(rename_variables,[],[56])).
% 8.57/8.65 cnf(320,plain,
% 8.57/8.65 (P1(f3(x3201,f3(f3(x3202,a1),a2)),f3(x3201,f3(f3(x3202,a2),a1)))),
% 8.57/8.65 inference(scs_inference,[],[63,56,22,25,19,23])).
% 8.57/8.65 cnf(324,plain,
% 8.57/8.65 (P1(f3(f3(f3(x3241,x3242),x3243),f3(a5,x3243)),f3(f3(x3241,a5),f3(x3242,a5)))),
% 8.57/8.65 inference(scs_inference,[],[63,52,56,314,22,25,19,23,24,7])).
% 8.57/8.65 cnf(326,plain,
% 8.57/8.65 (E(f3(f3(f3(a1,a2),x3261),x3262),f3(f3(a1,x3261),x3262))),
% 8.57/8.65 inference(scs_inference,[],[36,4])).
% 8.57/8.65 cnf(328,plain,
% 8.57/8.65 (E(a2,f3(f3(x3281,f3(x3281,x3282)),f3(x3282,f3(x3281,x3282))))),
% 8.57/8.65 inference(scs_inference,[],[60,12,21])).
% 8.57/8.65 cnf(338,plain,
% 8.57/8.65 (E(f3(f3(a1,a2),a2),a1)),
% 8.57/8.65 inference(scs_inference,[],[147,196,167,7])).
% 8.57/8.65 cnf(340,plain,
% 8.57/8.65 (P1(f3(x3401,x3402),f3(a5,x3402))),
% 8.57/8.65 inference(rename_variables,[],[37])).
% 8.57/8.65 cnf(345,plain,
% 8.57/8.65 (P1(f3(f3(x3451,x3452),x3451),f3(a5,f3(a5,f3(a5,a5))))),
% 8.57/8.65 inference(scs_inference,[],[37,340,63,311,326,22,21,2,6])).
% 8.57/8.65 cnf(349,plain,
% 8.57/8.65 (E(f3(f3(x3491,x3492),x3491),a2)),
% 8.57/8.65 inference(rename_variables,[],[41])).
% 8.57/8.65 cnf(350,plain,
% 8.57/8.65 (E(f3(f3(x3501,x3502),x3501),f3(f3(x3503,f3(x3503,x3504)),f3(x3504,f3(x3503,x3504))))),
% 8.57/8.65 inference(scs_inference,[],[37,340,63,41,349,311,326,328,22,21,2,6,7,3])).
% 8.57/8.65 cnf(351,plain,
% 8.57/8.65 (P1(f3(f3(x3511,f3(x3511,x3512)),a2),f3(x3512,f3(x3511,x3512)))),
% 8.57/8.65 inference(scs_inference,[],[60,25])).
% 8.57/8.65 cnf(359,plain,
% 8.57/8.65 (P1(f3(x3591,x3592),f3(f3(a5,x3592),f3(a5,f3(a5,x3592))))),
% 8.57/8.65 inference(scs_inference,[],[71,60,37,25,19,23,24,7])).
% 8.57/8.65 cnf(368,plain,
% 8.57/8.65 (P1(f3(x3681,a5),x3682)),
% 8.57/8.66 inference(rename_variables,[],[43])).
% 8.57/8.66 cnf(371,plain,
% 8.57/8.66 (P1(f3(f3(a5,a5),f3(a5,f3(a5,a5))),x3711)),
% 8.57/8.66 inference(scs_inference,[],[37,71,43,368,21,6])).
% 8.57/8.66 cnf(373,plain,
% 8.57/8.66 (E(f3(a5,x3731),f3(f3(a5,x3731),f3(a5,f3(a5,x3731))))),
% 8.57/8.66 inference(rename_variables,[],[71])).
% 8.57/8.66 cnf(375,plain,
% 8.57/8.66 (E(f3(f3(x3751,x3752),x3751),f3(f3(x3753,f3(x3753,x3754)),f3(x3754,f3(x3753,x3754))))),
% 8.57/8.66 inference(rename_variables,[],[350])).
% 8.57/8.66 cnf(378,plain,
% 8.57/8.66 (P1(f3(f3(a5,x3781),f3(x3782,x3781)),f3(f3(a5,x3782),f3(a5,f3(a5,x3782))))),
% 8.57/8.66 inference(scs_inference,[],[37,71,373,67,43,368,56,350,375,21,6,3,2,7])).
% 8.57/8.66 cnf(381,plain,
% 8.57/8.66 (P1(f3(x3811,f3(x3812,f3(x3811,x3812))),f3(x3811,x3812))),
% 8.57/8.66 inference(scs_inference,[],[309,25])).
% 8.57/8.66 cnf(385,plain,
% 8.57/8.66 (P1(f3(x3851,x3852),f3(x3851,f3(a2,x3853)))),
% 8.57/8.66 inference(scs_inference,[],[72,309,25,19,23])).
% 8.57/8.66 cnf(387,plain,
% 8.57/8.66 (P1(f3(f3(a2,x3871),x3872),f3(x3873,x3872))),
% 8.57/8.66 inference(scs_inference,[],[72,309,25,19,23,24])).
% 8.57/8.66 cnf(389,plain,
% 8.57/8.66 (P1(f3(f3(a2,x3891),f3(x3892,x3891)),x3893)),
% 8.57/8.66 inference(scs_inference,[],[72,56,309,25,19,23,24,22])).
% 8.57/8.66 cnf(401,plain,
% 8.57/8.66 (E(f3(f3(x4011,a1),x4012),f3(f3(x4011,f3(a1,a2)),x4012))),
% 8.57/8.66 inference(scs_inference,[],[78,4])).
% 8.57/8.66 cnf(405,plain,
% 8.57/8.66 (E(f3(x4051,f3(a5,a1)),f3(x4051,f3(a5,f3(a1,a2))))),
% 8.57/8.66 inference(scs_inference,[],[78,4,75,21,5])).
% 8.57/8.66 cnf(417,plain,
% 8.57/8.66 (P1(f3(f3(x4171,f3(x4171,x4172)),f3(f3(x4173,x4174),x4173)),f3(x4172,f3(x4171,x4172)))),
% 8.57/8.66 inference(scs_inference,[],[312,25])).
% 8.57/8.66 cnf(419,plain,
% 8.57/8.66 (E(f3(x4191,a5),f3(x4191,f3(a5,f3(x4191,a5))))),
% 8.57/8.66 inference(scs_inference,[],[43,381,312,25,21])).
% 8.57/8.66 cnf(430,plain,
% 8.57/8.66 (P1(f3(x4301,a5),x4302)),
% 8.57/8.66 inference(rename_variables,[],[43])).
% 8.57/8.66 cnf(432,plain,
% 8.57/8.66 (P1(f3(x4321,f3(a5,f3(x4321,a5))),x4322)),
% 8.57/8.66 inference(scs_inference,[],[43,430,72,419,21,6])).
% 8.57/8.66 cnf(435,plain,
% 8.57/8.66 (E(f3(f3(f3(x4351,x4352),f3(f3(x4351,x4353),x4352)),f3(x4353,x4352)),f3(a2,x4354))),
% 8.57/8.66 inference(scs_inference,[],[81,249,3])).
% 8.57/8.66 cnf(438,plain,
% 8.57/8.66 (P1(f3(x4381,x4382),f3(x4381,f3(f3(f3(x4383,x4384),f3(x4385,x4384)),f3(f3(x4383,x4385),x4384))))),
% 8.57/8.66 inference(scs_inference,[],[81,417,245,249,3,19,23])).
% 8.57/8.66 cnf(440,plain,
% 8.57/8.66 (P1(f3(f3(f3(f3(x4401,x4402),f3(x4403,x4402)),f3(f3(x4401,x4403),x4402)),x4404),f3(x4405,x4404))),
% 8.57/8.66 inference(scs_inference,[],[81,417,245,249,3,19,23,24])).
% 8.57/8.66 cnf(442,plain,
% 8.57/8.66 (E(f3(x4421,f3(a5,f3(a1,a2))),f3(x4421,f3(a5,a1)))),
% 8.57/8.66 inference(scs_inference,[],[81,417,245,405,249,3,19,23,24,2])).
% 8.57/8.66 cnf(444,plain,
% 8.57/8.66 (P1(f3(f3(x4441,a2),a1),f3(f3(x4441,a1),a2))),
% 8.57/8.66 inference(rename_variables,[],[63])).
% 8.57/8.66 cnf(446,plain,
% 8.57/8.66 (P1(f3(f3(a2,a2),a1),f3(f3(x4461,x4462),x4461))),
% 8.57/8.66 inference(scs_inference,[],[81,63,444,417,245,285,405,401,249,3,19,23,24,2,7,22])).
% 8.57/8.66 cnf(453,plain,
% 8.57/8.66 (E(f3(f3(a5,x4531),x4532),f3(f3(f3(a5,x4531),f3(a5,f3(a5,x4531))),x4532))),
% 8.57/8.66 inference(scs_inference,[],[71,283,25,4])).
% 8.57/8.66 cnf(461,plain,
% 8.57/8.66 (P1(f3(f3(f3(x4611,x4612),x4613),f3(f3(x4614,x4612),x4613)),f3(f3(x4611,x4614),x4612))),
% 8.57/8.66 inference(rename_variables,[],[85])).
% 8.57/8.66 cnf(463,plain,
% 8.57/8.66 (P1(f3(f3(f3(x4631,a1),x4632),f3(f3(x4633,a1),x4632)),f3(f3(x4631,x4633),f3(a1,a2)))),
% 8.57/8.66 inference(scs_inference,[],[85,461,78,63,22,7])).
% 8.57/8.66 cnf(484,plain,
% 8.57/8.66 (P1(f3(x4841,x4842),f3(x4841,f3(f3(a5,a5),f3(a5,f3(a5,a5)))))),
% 8.57/8.66 inference(scs_inference,[],[85,371,19,23])).
% 8.57/8.66 cnf(487,plain,
% 8.57/8.66 (P1(f3(f3(f3(a5,a5),f3(a5,f3(a5,a5))),x4871),f3(x4872,x4871))),
% 8.57/8.66 inference(scs_inference,[],[85,371,453,19,23,2,24])).
% 8.57/8.66 cnf(492,plain,
% 8.57/8.66 (P1(f3(f3(f3(x4921,x4922),x4923),f3(f3(x4921,x4924),x4922)),f3(f3(x4924,x4922),x4923))),
% 8.57/8.66 inference(scs_inference,[],[79,85,171,3,25])).
% 8.57/8.66 cnf(494,plain,
% 8.57/8.66 (P1(f3(f3(f3(x4941,a1),x4942),f3(f3(a2,a1),x4942)),f3(x4941,a1))),
% 8.57/8.66 inference(scs_inference,[],[56,79,85,463,171,3,25,22])).
% 8.57/8.66 cnf(498,plain,
% 8.57/8.66 (E(f3(f3(a2,x4981),x4982),f3(f3(a2,x4983),x4982))),
% 8.57/8.66 inference(scs_inference,[],[56,88,79,85,463,171,3,25,22,4])).
% 8.57/8.66 cnf(499,plain,
% 8.57/8.66 (E(f3(x4991,f3(a2,x4992)),f3(x4991,f3(a2,x4993)))),
% 8.57/8.66 inference(scs_inference,[],[56,88,79,85,463,171,3,25,22,4,5])).
% 8.57/8.66 cnf(505,plain,
% 8.57/8.66 (P1(f3(f3(f3(x5051,x5051),x5052),f3(f3(x5053,x5051),x5052)),f3(a5,f3(a5,f3(a5,a5))))),
% 8.57/8.66 inference(scs_inference,[],[85,345,22])).
% 8.57/8.66 cnf(507,plain,
% 8.57/8.66 (P1(f3(f3(f3(x5071,x5072),x5073),f3(f3(x5074,x5072),x5073)),f3(f3(x5071,x5074),x5072))),
% 8.57/8.66 inference(rename_variables,[],[85])).
% 8.57/8.66 cnf(519,plain,
% 8.57/8.66 (E(f3(a2,x5191),f3(f3(f3(x5192,x5193),f3(f3(x5192,x5194),x5193)),f3(x5194,x5193)))),
% 8.57/8.66 inference(scs_inference,[],[60,89,85,507,72,345,204,498,435,22,21,6,7,2])).
% 8.57/8.66 cnf(527,plain,
% 8.57/8.66 (E(f3(f3(f3(x5271,x5271),x5272),f3(f3(x5273,x5271),x5272)),f3(a5,f3(a5,f3(a5,a5))))),
% 8.57/8.66 inference(scs_inference,[],[492,505,210,432,19,23,24,21])).
% 8.57/8.66 cnf(530,plain,
% 8.57/8.66 (P1(f3(f3(f3(x5301,x5302),f3(x5303,x5302)),f3(a5,a1)),f3(f3(f3(x5301,x5303),x5302),f3(a5,f3(a1,a2))))),
% 8.57/8.66 inference(scs_inference,[],[90,492,442,505,210,432,19,23,24,21,6])).
% 8.57/8.66 cnf(534,plain,
% 8.57/8.66 (P1(f3(f3(f3(x5341,x5342),f3(x5343,x5342)),f3(f3(f3(x5341,x5343),x5342),x5344)),x5344)),
% 8.57/8.66 inference(scs_inference,[],[90,25])).
% 8.57/8.66 cnf(550,plain,
% 8.57/8.66 (E(f3(a5,f3(a5,f3(a5,a5))),f3(f3(f3(x5501,x5501),x5502),f3(f3(x5503,x5501),x5502)))),
% 8.57/8.66 inference(scs_inference,[],[527,2])).
% 8.57/8.66 cnf(557,plain,
% 8.57/8.66 (P1(f3(f3(f3(x5571,x5572),f3(x5573,x5572)),f3(f3(x5574,x5573),x5572)),f3(f3(x5571,x5574),x5573))),
% 8.57/8.66 inference(scs_inference,[],[92,90,85,19,22])).
% 8.57/8.66 cnf(561,plain,
% 8.57/8.66 (E(f3(a5,f3(a5,a5)),a5)),
% 8.57/8.66 inference(scs_inference,[],[94,92,90,85,96,19,22,21])).
% 8.57/8.66 cnf(573,plain,
% 8.57/8.66 (P1(f3(x5731,f3(x5731,a2)),x5732)),
% 8.57/8.66 inference(scs_inference,[],[92,25])).
% 8.57/8.66 cnf(581,plain,
% 8.57/8.66 (P1(f3(f3(f3(x5811,x5811),x5812),f3(f3(x5813,x5811),x5812)),f3(a5,a2))),
% 8.57/8.66 inference(scs_inference,[],[71,92,81,72,534,550,25,4,21,5,6])).
% 8.57/8.66 cnf(587,plain,
% 8.57/8.66 (P1(f3(x5871,f3(x5871,f3(a2,x5872))),x5873)),
% 8.57/8.66 inference(scs_inference,[],[72,96,22])).
% 8.57/8.66 cnf(597,plain,
% 8.57/8.66 (P1(f3(x5971,x5972),f3(x5971,f3(x5973,f3(x5973,x5972))))),
% 8.57/8.66 inference(scs_inference,[],[96,19,23])).
% 8.57/8.66 cnf(599,plain,
% 8.57/8.66 (P1(f3(f3(x5991,f3(x5991,x5992)),x5993),f3(x5992,x5993))),
% 8.57/8.66 inference(scs_inference,[],[96,19,23,24])).
% 8.57/8.66 cnf(602,plain,
% 8.57/8.66 (P1(f3(f3(f3(x6021,x6022),f3(x6023,x6022)),f3(f3(x6021,x6024),x6023)),f3(f3(x6024,x6023),x6022))),
% 8.57/8.66 inference(scs_inference,[],[557,25])).
% 8.57/8.66 cnf(604,plain,
% 8.57/8.66 (P1(f3(x6041,f3(x6041,a5)),f3(a5,f3(a5,a5)))),
% 8.57/8.66 inference(scs_inference,[],[96,94,557,25,22])).
% 8.57/8.66 cnf(607,plain,
% 8.57/8.66 (E(f3(x6071,f3(x6072,f3(x6072,a2))),f3(x6071,a2))),
% 8.57/8.66 inference(scs_inference,[],[92,96,94,557,597,25,22,21])).
% 8.57/8.66 cnf(623,plain,
% 8.57/8.66 (P1(f3(f3(f3(x6231,x6232),f3(x6233,x6232)),f3(a2,x6234)),f3(f3(f3(x6231,x6233),x6232),f3(a2,x6235)))),
% 8.57/8.66 inference(scs_inference,[],[101,90,581,499,2,21,6])).
% 8.57/8.66 cnf(633,plain,
% 8.57/8.66 (P1(f3(x6331,f3(x6332,a2)),f3(x6331,f3(x6332,x6333)))),
% 8.57/8.66 inference(scs_inference,[],[92,602,19,23])).
% 8.57/8.66 cnf(635,plain,
% 8.57/8.66 (P1(f3(f3(x6351,x6352),x6353),f3(f3(x6351,a2),x6353))),
% 8.57/8.66 inference(scs_inference,[],[92,602,19,23,24])).
% 8.57/8.66 cnf(647,plain,
% 8.57/8.66 (P1(f3(f3(f3(f3(x6471,x6472),f3(x6473,x6472)),f3(f3(x6471,x6473),x6472)),f3(x6474,x6475)),x6475)),
% 8.57/8.66 inference(scs_inference,[],[440,25])).
% 8.57/8.66 cnf(649,plain,
% 8.57/8.66 (E(f3(f3(f3(x6491,a5),x6492),x6493),f3(f3(a2,x6492),x6493))),
% 8.57/8.66 inference(scs_inference,[],[101,440,25,4])).
% 8.57/8.66 cnf(650,plain,
% 8.57/8.66 (E(f3(x6501,a2),f3(x6501,f3(a2,x6502)))),
% 8.57/8.66 inference(scs_inference,[],[81,101,440,25,4,5])).
% 8.57/8.66 cnf(651,plain,
% 8.57/8.66 (E(f3(f3(a1,f3(a1,f3(a2,a2))),a1),f3(f3(a2,a2),a1))),
% 8.57/8.66 inference(scs_inference,[],[81,101,440,599,446,25,4,5,21])).
% 8.57/8.66 cnf(658,plain,
% 8.57/8.66 (P1(f3(f3(f3(x6581,x6582),x6583),f3(f3(x6584,x6582),x6583)),f3(f3(x6581,x6584),x6582))),
% 8.57/8.66 inference(rename_variables,[],[85])).
% 8.57/8.66 cnf(661,plain,
% 8.57/8.66 (P1(f3(f3(a2,f3(x6611,a5)),f3(a5,a1)),f3(f3(f3(x6612,x6611),a5),f3(a5,f3(a1,a2))))),
% 8.57/8.66 inference(scs_inference,[],[85,109,102,530,649,22,2,6])).
% 8.57/8.66 cnf(667,plain,
% 8.57/8.66 (E(f3(f3(a5,a2),a2),f3(f3(a5,a2),f3(a5,f3(a5,a2))))),
% 8.57/8.66 inference(scs_inference,[],[85,658,109,102,101,92,530,649,359,22,2,6,7,21])).
% 8.57/8.66 cnf(674,plain,
% 8.57/8.66 (E(f3(f3(a5,a2),f3(x6741,f3(x6741,a2))),f3(f3(a5,a2),f3(a5,f3(a5,a2))))),
% 8.57/8.66 inference(scs_inference,[],[92,667,651,607,6,3])).
% 8.57/8.66 cnf(686,plain,
% 8.57/8.66 (E(f3(f3(a5,f3(a5,a5)),x6861),f3(a5,x6861))),
% 8.57/8.66 inference(scs_inference,[],[561,4])).
% 8.57/8.66 cnf(687,plain,
% 8.57/8.66 (P1(f3(f3(x6871,a5),a2),x6872)),
% 8.57/8.66 inference(scs_inference,[],[109,561,4,25])).
% 8.57/8.66 cnf(693,plain,
% 8.57/8.66 (P1(f3(f3(x6931,a5),x6932),f3(f3(x6933,f3(x6933,x6934)),f3(x6934,f3(x6933,x6934))))),
% 8.57/8.66 inference(scs_inference,[],[109,101,561,328,147,4,25,22,5,7])).
% 8.57/8.66 cnf(695,plain,
% 8.57/8.66 (E(a2,f3(f3(x6951,a5),x6952))),
% 8.57/8.66 inference(scs_inference,[],[109,12,21])).
% 8.57/8.66 cnf(705,plain,
% 8.57/8.66 (P1(f3(a5,a2),f3(a5,f3(a5,a5)))),
% 8.57/8.66 inference(scs_inference,[],[90,109,351,686,22,6])).
% 8.57/8.66 cnf(722,plain,
% 8.57/8.66 (P1(f3(f3(f3(f3(f3(x7221,x7222),f3(x7223,x7222)),f3(f3(x7221,x7223),x7222)),f3(x7224,x7225)),x7226),f3(x7225,x7226))),
% 8.57/8.66 inference(scs_inference,[],[128,102,647,19,23,3,24])).
% 8.57/8.66 cnf(731,plain,
% 8.57/8.66 (E(f3(x7311,f3(f3(x7312,a5),x7313)),f3(x7311,a2))),
% 8.57/8.66 inference(scs_inference,[],[128,722,25,4,5])).
% 8.57/8.66 cnf(732,plain,
% 8.57/8.66 (E(f3(f3(x7321,a5),x7322),f3(x7323,x7323))),
% 8.57/8.66 inference(scs_inference,[],[128,127,722,25,4,5,3])).
% 8.57/8.66 cnf(734,plain,
% 8.57/8.66 (E(f3(x7341,x7341),f3(a2,x7342))),
% 8.57/8.66 inference(scs_inference,[],[130,2])).
% 8.57/8.66 cnf(735,plain,
% 8.57/8.66 (P1(f3(x7351,f3(x7351,f3(x7352,x7353))),f3(x7352,a2))),
% 8.57/8.66 inference(scs_inference,[],[92,130,96,2,22])).
% 8.57/8.66 cnf(746,plain,
% 8.57/8.66 (P1(f3(x7461,f3(x7461,x7462)),x7462)),
% 8.57/8.66 inference(rename_variables,[],[96])).
% 8.57/8.66 cnf(757,plain,
% 8.57/8.66 (P1(f3(x7571,f3(a5,f3(a5,a5))),f3(x7571,f3(a5,a2)))),
% 8.57/8.66 inference(scs_inference,[],[135,96,746,109,705,650,92,22,21,6,7,19,23])).
% 8.57/8.66 cnf(759,plain,
% 8.57/8.66 (P1(f3(f3(a5,a2),x7591),f3(f3(a5,f3(a5,a5)),x7591))),
% 8.57/8.66 inference(scs_inference,[],[135,96,746,109,705,650,92,22,21,6,7,19,23,24])).
% 8.57/8.66 cnf(762,plain,
% 8.57/8.66 (P1(f3(x7621,f3(x7621,f3(a5,a2))),f3(a5,f3(a5,a5)))),
% 8.57/8.66 inference(scs_inference,[],[757,25])).
% 8.57/8.66 cnf(764,plain,
% 8.57/8.66 (E(f3(x7641,f3(x7641,a2)),f3(x7642,x7642))),
% 8.57/8.66 inference(scs_inference,[],[135,127,757,25,3])).
% 8.57/8.66 cnf(766,plain,
% 8.57/8.66 (E(f3(x7661,f3(a2,x7662)),f3(x7661,f3(x7663,x7663)))),
% 8.57/8.66 inference(scs_inference,[],[130,135,127,757,25,3,4,5])).
% 8.57/8.66 cnf(767,plain,
% 8.57/8.66 (P1(f3(f3(f3(x7671,x7672),f3(f3(x7671,x7673),x7672)),f3(x7673,x7672)),x7674)),
% 8.57/8.66 inference(scs_inference,[],[130,135,127,96,757,519,25,3,4,5,6])).
% 8.57/8.66 cnf(771,plain,
% 8.57/8.66 (E(a2,f3(x7711,f3(x7711,a2)))),
% 8.57/8.66 inference(scs_inference,[],[135,2])).
% 8.57/8.66 cnf(773,plain,
% 8.57/8.66 (E(f3(f3(f3(x7731,x7732),f3(x7733,x7732)),f3(f3(x7731,x7733),x7732)),f3(x7734,x7734))),
% 8.57/8.66 inference(scs_inference,[],[135,99,127,2,59,3])).
% 8.57/8.66 cnf(775,plain,
% 8.57/8.66 (P1(f3(f3(a5,a2),f3(f3(a5,f3(a5,a5)),x7751)),x7751)),
% 8.57/8.66 inference(scs_inference,[],[96,759,22])).
% 8.57/8.66 cnf(777,plain,
% 8.57/8.66 (P1(f3(x7771,f3(x7771,x7772)),x7772)),
% 8.57/8.66 inference(rename_variables,[],[96])).
% 8.57/8.66 cnf(779,plain,
% 8.57/8.66 (P1(f3(x7791,f3(x7791,f3(x7792,x7792))),f3(x7793,x7793))),
% 8.57/8.66 inference(scs_inference,[],[96,777,139,759,22,7])).
% 8.57/8.66 cnf(788,plain,
% 8.57/8.66 (P1(f3(x7881,x7882),f3(x7881,f3(f3(f3(x7883,x7884),f3(f3(x7883,x7885),x7884)),f3(x7885,x7884))))),
% 8.57/8.66 inference(scs_inference,[],[767,693,387,21,19,23])).
% 8.57/8.66 cnf(790,plain,
% 8.57/8.66 (P1(f3(f3(f3(f3(x7901,x7902),f3(f3(x7901,x7903),x7902)),f3(x7903,x7902)),x7904),f3(x7905,x7904))),
% 8.57/8.66 inference(scs_inference,[],[767,693,387,21,19,23,24])).
% 8.57/8.66 cnf(793,plain,
% 8.57/8.66 (P1(f3(f3(f3(x7931,f3(x7931,x7932)),f3(x7932,f3(x7931,x7932))),x7933),f3(x7934,x7934))),
% 8.57/8.66 inference(scs_inference,[],[438,779,22])).
% 8.57/8.66 cnf(794,plain,
% 8.57/8.66 (P1(f3(x7941,f3(x7941,f3(x7942,x7942))),f3(x7943,x7943))),
% 8.57/8.66 inference(rename_variables,[],[779])).
% 8.57/8.66 cnf(795,plain,
% 8.57/8.66 (P1(f3(x7951,x7952),f3(x7951,f3(f3(f3(x7953,x7954),f3(x7955,x7954)),f3(f3(x7953,x7955),x7954))))),
% 8.57/8.66 inference(rename_variables,[],[438])).
% 8.57/8.66 cnf(801,plain,
% 8.57/8.66 (P1(f3(f3(f3(f3(x8011,x8012),f3(x8013,x8012)),f3(f3(x8011,x8013),x8012)),x8014),f3(x8015,x8015))),
% 8.57/8.66 inference(scs_inference,[],[140,139,438,795,779,775,674,22,5,6,7])).
% 8.57/8.66 cnf(802,plain,
% 8.57/8.66 (E(f3(x8021,x8021),f3(x8022,x8022))),
% 8.57/8.66 inference(rename_variables,[],[139])).
% 8.57/8.66 cnf(809,plain,
% 8.57/8.66 (E(f3(x8091,x8091),f3(f3(x8092,x8092),a5))),
% 8.57/8.66 inference(scs_inference,[],[140,139,802,102,438,795,779,794,762,775,674,22,5,6,7,25,4,21,3])).
% 8.57/8.66 cnf(813,plain,
% 8.57/8.66 (E(f3(x8131,x8131),f3(f3(f3(x8132,x8133),f3(x8134,x8133)),f3(f3(x8132,x8134),x8133)))),
% 8.57/8.66 inference(scs_inference,[],[773,2])).
% 8.57/8.66 cnf(822,plain,
% 8.57/8.66 (P1(f3(x8221,f3(x8222,a1)),f3(x8221,f3(x8222,f3(a1,a2))))),
% 8.57/8.66 inference(scs_inference,[],[143,23])).
% 8.57/8.66 cnf(831,plain,
% 8.57/8.66 (P1(f3(f3(f3(f3(x8311,x8312),f3(f3(x8311,x8313),x8312)),f3(x8313,x8312)),x8314),f3(x8315,x8315))),
% 8.57/8.66 inference(scs_inference,[],[143,139,109,788,661,23,19,24,22,7])).
% 8.57/8.66 cnf(835,plain,
% 8.57/8.66 (E(f3(f3(a1,a2),a1),f3(x8351,f3(x8351,f3(a2,x8352))))),
% 8.57/8.66 inference(scs_inference,[],[141,587,21])).
% 8.57/8.66 cnf(839,plain,
% 8.57/8.66 (P1(f3(x8391,f3(x8391,a1)),f3(a1,a2))),
% 8.57/8.66 inference(scs_inference,[],[141,143,587,21,25])).
% 8.57/8.66 cnf(842,plain,
% 8.57/8.66 (E(f3(x8421,f3(x8422,x8422)),f3(x8421,f3(x8423,x8423)))),
% 8.57/8.66 inference(scs_inference,[],[141,143,139,587,21,25,4,5])).
% 8.57/8.66 cnf(843,plain,
% 8.57/8.66 (E(f3(x8431,x8431),f3(x8432,f3(x8432,a2)))),
% 8.57/8.66 inference(scs_inference,[],[141,143,139,587,764,21,25,4,5,2])).
% 8.57/8.66 cnf(847,plain,
% 8.57/8.66 (P1(f3(a1,x8471),f3(f3(a1,a2),x8471))),
% 8.57/8.66 inference(rename_variables,[],[145])).
% 8.57/8.66 cnf(857,plain,
% 8.57/8.66 (E(f3(x8571,f3(x8571,a1)),f3(a1,a2))+~P1(f3(a1,a2),f3(x8571,f3(x8571,a1)))),
% 8.57/8.66 inference(scs_inference,[],[145,847,140,130,143,135,813,822,839,22,6,7,3,21])).
% 8.57/8.66 cnf(859,plain,
% 8.57/8.66 (~E(f3(f3(a1,a2),a2),f3(x8591,f3(x8591,a1)))+E(f3(x8591,f3(x8591,a1)),f3(a1,a2))),
% 8.57/8.66 inference(scs_inference,[],[145,857,7])).
% 8.57/8.66 cnf(873,plain,
% 8.57/8.66 (~E(f3(f3(a1,a2),a2),f3(x8731,f3(x8731,a1)))+E(f3(f3(x8731,f3(x8731,a1)),x8732),f3(f3(a1,a2),x8732))),
% 8.57/8.66 inference(scs_inference,[],[859,4])).
% 8.57/8.66 cnf(875,plain,
% 8.57/8.66 (P1(x8751,f3(x8751,a2))),
% 8.57/8.66 inference(rename_variables,[],[147])).
% 8.57/8.66 cnf(877,plain,
% 8.57/8.66 (P1(f3(x8771,f3(f3(x8771,x8772),a2)),x8772)),
% 8.57/8.66 inference(scs_inference,[],[140,147,875,7,25])).
% 8.57/8.66 cnf(878,plain,
% 8.57/8.66 (P1(x8781,f3(x8781,a2))),
% 8.57/8.66 inference(rename_variables,[],[147])).
% 8.57/8.66 cnf(884,plain,
% 8.57/8.66 (E(f3(x8841,f3(x8841,f3(a2,x8842))),f3(f3(a1,a2),a1))),
% 8.57/8.66 inference(scs_inference,[],[140,147,875,878,145,835,7,25,22,2])).
% 8.57/8.66 cnf(886,plain,
% 8.57/8.66 (E(f3(x8861,a2),f3(x8861,f3(x8862,x8862)))),
% 8.57/8.66 inference(scs_inference,[],[140,147,875,878,145,135,127,835,7,25,22,2,4,5])).
% 8.57/8.66 cnf(897,plain,
% 8.57/8.66 (E(f3(f3(f3(f3(a1,a2),a1),x8971),f3(f3(a2,a1),x8971)),f3(f3(a1,a2),a1))),
% 8.57/8.66 inference(scs_inference,[],[127,149,141,842,623,494,6,3,21])).
% 8.57/8.66 cnf(902,plain,
% 8.57/8.66 (E(f3(f3(x9021,a5),x9022),f3(x9023,f3(x9023,a2)))),
% 8.57/8.66 inference(scs_inference,[],[128,771,3])).
% 8.57/8.66 cnf(905,plain,
% 8.57/8.66 (P1(f3(x9051,x9052),f3(x9051,f3(f3(a1,a2),a1)))),
% 8.57/8.66 inference(scs_inference,[],[128,141,771,3,19,23])).
% 8.57/8.66 cnf(916,plain,
% 8.57/8.66 (P1(f3(a1,f3(a5,f3(a5,f3(a5,a5)))),f3(f3(a1,a2),a2))),
% 8.57/8.66 inference(scs_inference,[],[151,143,147,145,22,2,7])).
% 8.57/8.66 cnf(918,plain,
% 8.57/8.66 (P1(f3(a1,x9181),f3(f3(a1,a2),x9181))),
% 8.57/8.66 inference(rename_variables,[],[145])).
% 8.57/8.66 cnf(919,plain,
% 8.57/8.66 (P1(f3(a1,f3(f3(a1,a2),x9191)),x9191)),
% 8.57/8.66 inference(scs_inference,[],[151,143,147,145,918,22,2,7,25])).
% 8.57/8.66 cnf(922,plain,
% 8.57/8.66 (E(f3(x9221,f3(f3(f3(a1,a2),x9222),a1)),f3(x9221,a2))),
% 8.57/8.66 inference(scs_inference,[],[151,149,143,147,145,918,22,2,7,25,4,5])).
% 8.57/8.66 cnf(923,plain,
% 8.57/8.66 (E(f3(x9231,x9231),f3(f3(a1,a2),a1))),
% 8.57/8.66 inference(scs_inference,[],[153,141,21])).
% 8.57/8.66 cnf(925,plain,
% 8.57/8.66 (P1(f3(x9251,x9251),x9252)),
% 8.57/8.66 inference(rename_variables,[],[153])).
% 8.57/8.66 cnf(927,plain,
% 8.57/8.66 (P1(f3(x9271,f3(f3(x9271,f3(x9272,x9272)),a2)),x9273)),
% 8.57/8.66 inference(scs_inference,[],[153,925,141,877,21,22])).
% 8.57/8.66 cnf(930,plain,
% 8.57/8.66 (P1(f3(f3(a5,f3(a5,f3(a5,a5))),f3(a1,a2)),f3(a2,a1))),
% 8.57/8.66 inference(scs_inference,[],[152,153,925,143,141,877,21,22,7])).
% 8.57/8.66 cnf(937,plain,
% 8.57/8.66 (E(f3(f3(a5,f3(a5,f3(a5,a5))),f3(a2,a2)),a2)),
% 8.57/8.66 inference(scs_inference,[],[135,152,151,324,6,3])).
% 8.57/8.66 cnf(942,plain,
% 8.57/8.66 (P1(f3(x9421,x9422),f3(x9421,f3(x9423,x9423)))),
% 8.57/8.66 inference(scs_inference,[],[135,152,151,153,790,324,6,3,19,23])).
% 8.57/8.66 cnf(944,plain,
% 8.57/8.66 (P1(f3(f3(x9441,x9441),x9442),f3(x9443,x9442))),
% 8.57/8.66 inference(scs_inference,[],[135,152,151,153,790,324,6,3,19,23,24])).
% 8.57/8.66 cnf(946,plain,
% 8.57/8.66 (E(f3(f3(a1,a2),a1),f3(x9461,x9461))),
% 8.57/8.66 inference(scs_inference,[],[135,152,151,153,141,790,324,6,3,19,23,24,21])).
% 8.57/8.66 cnf(951,plain,
% 8.57/8.66 (P1(f3(f3(x9511,f3(a1,a2)),f3(f3(x9511,x9512),a1)),f3(x9512,f3(a1,a2)))),
% 8.57/8.66 inference(scs_inference,[],[154,25])).
% 8.57/8.66 cnf(953,plain,
% 8.57/8.66 (E(f3(f3(x9531,x9531),x9532),f3(f3(f3(a1,a2),a1),x9532))),
% 8.57/8.66 inference(scs_inference,[],[154,923,25,4])).
% 8.57/8.66 cnf(954,plain,
% 8.57/8.66 (E(f3(x9541,f3(x9542,x9542)),f3(x9541,f3(f3(a1,a2),a1)))),
% 8.57/8.66 inference(scs_inference,[],[154,923,25,4,5])).
% 8.57/8.66 cnf(956,plain,
% 8.57/8.66 (P1(f3(f3(a5,f3(a5,f3(a5,a5))),a2),x9561)),
% 8.57/8.66 inference(scs_inference,[],[154,152,151,153,923,25,4,5,2,6])).
% 8.57/8.66 cnf(959,plain,
% 8.57/8.66 (E(f3(f3(a5,f3(a5,f3(a5,a5))),a2),f3(x9591,x9591))),
% 8.57/8.66 inference(scs_inference,[],[139,154,152,151,153,923,25,4,5,2,6,3])).
% 8.57/8.66 cnf(966,plain,
% 8.57/8.66 (P1(f3(f3(a5,f3(a1,a2)),f3(f3(a5,f3(a5,a5)),f3(a1,a2))),f3(a2,a1))),
% 8.57/8.66 inference(scs_inference,[],[154,152,147,22,7])).
% 8.57/8.66 cnf(980,plain,
% 8.57/8.66 (P1(f3(f3(a1,f3(a1,a2)),f3(a2,f3(a1,a2))),x9801)),
% 8.57/8.66 inference(scs_inference,[],[141,162,154,966,72,19,23,21,24,22])).
% 8.57/8.66 cnf(997,plain,
% 8.57/8.66 (E(f3(x9971,f3(f3(a1,a2),a1)),f3(x9971,f3(x9972,x9972)))),
% 8.57/8.66 inference(scs_inference,[],[149,154,162,152,953,954,946,25,2,6,3,4,21,5])).
% 8.57/8.66 cnf(1000,plain,
% 8.57/8.66 (P1(f3(f3(f3(a1,a2),a1),f3(x10001,x10001)),x10002)),
% 8.57/8.66 inference(scs_inference,[],[153,997,6])).
% 8.57/8.66 cnf(1017,plain,
% 8.57/8.66 (P1(f3(f3(x10171,a1),x10172),f3(f3(x10171,f3(a1,a2)),x10172))),
% 8.57/8.66 inference(scs_inference,[],[165,19,23,24])).
% 8.57/8.66 cnf(1020,plain,
% 8.57/8.66 (E(f3(x10201,x10201),f3(f3(f3(a1,a2),a1),f3(x10202,x10202)))),
% 8.57/8.66 inference(scs_inference,[],[153,1000,21])).
% 8.57/8.66 cnf(1024,plain,
% 8.57/8.66 (E(f3(f3(a1,a2),a1),f3(f3(f3(f3(a1,a2),a1),x10241),f3(f3(a2,a1),x10241)))),
% 8.57/8.66 inference(scs_inference,[],[153,1000,897,21,2])).
% 8.57/8.66 cnf(1027,plain,
% 8.57/8.66 (P1(f3(f3(a5,f3(a5,f3(a5,a5))),f3(a1,a2)),f3(a2,f3(a1,a2)))),
% 8.57/8.66 inference(scs_inference,[],[165,153,1000,897,930,21,2,25,22])).
% 8.57/8.66 cnf(1028,plain,
% 8.57/8.66 (P1(f3(x10281,a1),f3(x10281,f3(a1,a2)))),
% 8.57/8.66 inference(rename_variables,[],[165])).
% 8.57/8.66 cnf(1030,plain,
% 8.57/8.66 (E(f3(x10301,f3(x10302,x10302)),f3(x10301,f3(x10303,f3(x10303,a2))))),
% 8.57/8.66 inference(scs_inference,[],[165,153,1000,897,930,843,21,2,25,22,5])).
% 8.57/8.66 cnf(1031,plain,
% 8.57/8.66 (P1(f3(f3(a5,f3(a5,f3(a5,a5))),a1),f3(a2,f3(a1,a2)))),
% 8.57/8.66 inference(scs_inference,[],[165,1028,152,153,1000,897,930,843,21,2,25,22,5,7])).
% 8.57/8.66 cnf(1034,plain,
% 8.57/8.66 (E(f3(f3(x10341,x10341),x10342),f3(f3(x10343,f3(x10343,a2)),x10342))),
% 8.57/8.66 inference(scs_inference,[],[165,1028,152,153,1000,897,930,843,21,2,25,22,5,7,4])).
% 8.57/8.66 cnf(1036,plain,
% 8.57/8.66 (P1(f3(a5,a1),f3(f3(a5,f3(a1,a2)),f3(x10361,x10361)))),
% 8.57/8.66 inference(scs_inference,[],[159,942,6])).
% 8.57/8.66 cnf(1039,plain,
% 8.57/8.66 (E(f3(f3(a1,f3(a1,a2)),f3(a2,f3(a1,a2))),f3(x10391,x10391))),
% 8.57/8.66 inference(scs_inference,[],[159,169,149,153,942,980,6,3,21])).
% 8.57/8.66 cnf(1044,plain,
% 8.57/8.66 (E(f3(x10441,x10441),f3(f3(f3(a1,a2),a1),f3(x10442,f3(x10442,a2))))),
% 8.57/8.66 inference(scs_inference,[],[1020,1030,3])).
% 8.57/8.66 cnf(1052,plain,
% 8.57/8.66 (P1(f3(f3(x10521,f3(a1,a2)),f3(x10522,f3(a1,a2))),f3(f3(x10521,x10522),a1))),
% 8.57/8.66 inference(rename_variables,[],[154])).
% 8.57/8.66 cnf(1056,plain,
% 8.57/8.66 (P1(f3(f3(x10561,f3(a1,a2)),f3(x10562,f3(a1,a2))),f3(f3(x10561,x10562),a1))),
% 8.57/8.66 inference(rename_variables,[],[154])).
% 8.57/8.66 cnf(1059,plain,
% 8.57/8.66 (P1(f3(x10591,f3(x10592,x10593)),f3(x10591,f3(f3(x10594,x10594),x10593)))),
% 8.57/8.66 inference(scs_inference,[],[154,1052,1056,944,732,1017,22,7,19,23])).
% 8.57/8.66 cnf(1061,plain,
% 8.57/8.66 (P1(f3(f3(f3(x10611,x10611),x10612),x10613),f3(f3(x10614,x10612),x10613))),
% 8.57/8.66 inference(scs_inference,[],[154,1052,1056,944,732,1017,22,7,19,23,24])).
% 8.57/8.66 cnf(1065,plain,
% 8.57/8.66 (P1(f3(f3(f3(x10651,f3(x10651,x10652)),f3(x10652,f3(x10651,x10652))),f3(x10653,x10653)),x10654)),
% 8.57/8.66 inference(scs_inference,[],[171,793,2,25])).
% 8.57/8.66 cnf(1067,plain,
% 8.57/8.66 (E(f3(f3(a5,f3(a5,f3(a5,a5))),x10671),f3(f3(x10672,x10672),x10671))),
% 8.57/8.66 inference(scs_inference,[],[170,171,793,2,25,4])).
% 8.57/8.66 cnf(1070,plain,
% 8.57/8.66 (E(f3(x10701,x10701),f3(f3(f3(x10702,f3(x10702,x10703)),f3(x10703,f3(x10702,x10703))),f3(x10704,x10704)))),
% 8.57/8.66 inference(scs_inference,[],[153,1065,21])).
% 8.57/8.66 cnf(1074,plain,
% 8.57/8.66 (P1(f3(a5,a1),f3(f3(a5,f3(a1,a2)),a1))),
% 8.57/8.66 inference(scs_inference,[],[154,153,1065,1036,21,22])).
% 8.57/8.66 cnf(1081,plain,
% 8.57/8.66 (P1(f3(f3(a1,a2),a2),f3(a1,f3(a5,f3(a5,f3(a5,a5)))))),
% 8.57/8.66 inference(scs_inference,[],[151,172,6])).
% 8.57/8.66 cnf(1084,plain,
% 8.57/8.66 (E(f3(f3(a5,f3(a5,f3(a5,a5))),f3(a2,a2)),f3(a5,f3(a5,f3(a5,a5))))),
% 8.57/8.66 inference(scs_inference,[],[151,172,169,937,6,3])).
% 8.57/8.66 cnf(1092,plain,
% 8.57/8.66 (P1(f3(x10921,f3(x10922,x10923)),f3(x10921,f3(f3(x10924,x10923),f3(f3(x10924,x10922),x10923))))),
% 8.57/8.66 inference(scs_inference,[],[174,172,19,23])).
% 8.57/8.66 cnf(1094,plain,
% 8.57/8.66 (P1(f3(f3(f3(x10941,x10942),f3(f3(x10941,x10943),x10942)),x10944),f3(f3(x10943,x10942),x10944))),
% 8.57/8.66 inference(scs_inference,[],[174,172,19,23,24])).
% 8.57/8.66 cnf(1096,plain,
% 8.57/8.66 (P1(f3(a5,a1),f3(f3(a5,f3(a1,a2)),f3(f3(x10961,x10961),f3(a5,f3(a1,a2)))))),
% 8.57/8.66 inference(scs_inference,[],[174,172,159,1059,19,23,24,6])).
% 8.57/8.66 cnf(1098,plain,
% 8.57/8.66 (E(f3(f3(a5,f3(a5,f3(a5,a5))),f3(a2,a2)),f3(x10981,x10981))),
% 8.57/8.66 inference(scs_inference,[],[174,172,159,170,1059,1084,19,23,24,6,3])).
% 8.57/8.66 cnf(1104,plain,
% 8.57/8.66 (P1(f3(f3(x11041,x11042),f3(f3(x11041,x11043),x11042)),f3(x11043,x11042))),
% 8.57/8.66 inference(rename_variables,[],[174])).
% 8.57/8.66 cnf(1107,plain,
% 8.57/8.66 (P1(f3(f3(x11071,x11072),f3(f3(x11071,a2),x11072)),f3(a5,f3(a5,f3(a5,a5))))),
% 8.57/8.66 inference(scs_inference,[],[172,171,174,1104,1070,25,22,2,7])).
% 8.57/8.66 cnf(1108,plain,
% 8.57/8.66 (E(f3(a2,x11081),f3(a5,f3(a5,f3(a5,a5))))),
% 8.57/8.66 inference(rename_variables,[],[171])).
% 8.57/8.66 cnf(1110,plain,
% 8.57/8.66 (E(f3(f3(a2,x11101),x11102),f3(f3(a5,f3(a5,f3(a5,a5))),x11102))),
% 8.57/8.66 inference(scs_inference,[],[172,171,1108,174,1104,1070,25,22,2,7,4])).
% 8.57/8.66 cnf(1120,plain,
% 8.57/8.66 (P1(f3(x11201,x11201),x11202)),
% 8.57/8.66 inference(rename_variables,[],[153])).
% 8.57/8.66 cnf(1122,plain,
% 8.57/8.66 (E(f3(f3(x11221,x11222),f3(f3(x11221,x11222),x11222)),f3(x11222,x11222))),
% 8.57/8.66 inference(scs_inference,[],[153,1120,176,174,22,21])).
% 8.57/8.66 cnf(1130,plain,
% 8.57/8.66 (P1(f3(a5,a1),f3(f3(a5,f3(a1,a2)),f3(f3(a1,a2),a1)))),
% 8.57/8.66 inference(scs_inference,[],[159,905,6])).
% 8.57/8.66 cnf(1132,plain,
% 8.57/8.66 (E(f3(f3(a5,f3(a5,f3(a5,a5))),f3(f3(x11321,x11321),x11321)),f3(x11321,x11321))),
% 8.57/8.66 inference(scs_inference,[],[159,1122,1067,905,6,3])).
% 8.57/8.66 cnf(1137,plain,
% 8.57/8.66 (P1(f3(x11371,f3(a1,x11372)),f3(x11371,f3(f3(f3(a1,a2),x11373),x11372)))),
% 8.57/8.66 inference(scs_inference,[],[178,159,1122,1067,905,6,3,19,23])).
% 8.57/8.66 cnf(1144,plain,
% 8.57/8.66 (E(f3(x11441,x11441),f3(f3(a5,f3(a5,f3(a5,a5))),f3(f3(x11441,x11441),x11441)))),
% 8.57/8.66 inference(scs_inference,[],[176,1132,25,2])).
% 8.57/8.66 cnf(1145,plain,
% 8.57/8.66 (E(f3(x11451,f3(f3(a5,f3(a5,f3(a5,a5))),f3(a2,a2))),f3(x11451,f3(x11452,x11452)))),
% 8.57/8.66 inference(scs_inference,[],[176,1132,1098,25,2,5])).
% 8.57/8.66 cnf(1149,plain,
% 8.57/8.66 (E(f3(f3(a1,f3(a1,a2)),f3(a2,f3(a1,a2))),f3(a5,f3(a5,f3(a5,a5))))),
% 8.57/8.66 inference(scs_inference,[],[154,176,171,1132,1098,1039,1034,25,2,5,6,3])).
% 8.57/8.66 cnf(1152,plain,
% 8.57/8.66 (E(f3(f3(f3(a5,f3(a5,f3(a5,a5))),f3(a2,a2)),x11521),f3(f3(x11522,x11522),x11521))),
% 8.57/8.66 inference(scs_inference,[],[154,176,171,1132,1098,1039,1034,25,2,5,6,3,4])).
% 8.57/8.66 cnf(1157,plain,
% 8.57/8.66 (P1(f3(f3(f3(a1,a2),x11571),f3(a1,f3(a2,x11572))),f3(f3(a1,a2),a1))),
% 8.57/8.66 inference(scs_inference,[],[178,174,162,884,22,7])).
% 8.57/8.66 cnf(1160,plain,
% 8.57/8.66 (~P1(f3(f3(a5,a1),f3(a5,f3(a5,a4))),a2)+~P1(f3(f3(a5,a4),f3(f3(a5,a1),f3(a5,f3(a5,a4)))),f3(a5,f3(a5,a1)))),
% 8.57/8.66 inference(scs_inference,[],[48,25])).
% 8.57/8.66 cnf(1161,plain,
% 8.57/8.66 (E(f3(a1,f3(f3(a1,a2),f3(a1,a1))),f3(a1,a1))),
% 8.57/8.66 inference(scs_inference,[],[176,919,21])).
% 8.57/8.66 cnf(1181,plain,
% 8.57/8.66 (E(f3(f3(x11811,x11811),x11812),f3(a5,f3(a5,f3(a5,a5))))),
% 8.57/8.66 inference(scs_inference,[],[162,180,182,178,171,176,174,1094,1096,19,23,24,22,21,7,25,3])).
% 8.57/8.66 cnf(1185,plain,
% 8.57/8.66 (E(f3(f3(f3(x11851,x11851),x11852),x11853),f3(a2,x11853))),
% 8.57/8.66 inference(scs_inference,[],[180,1081,886,6,4])).
% 8.57/8.66 cnf(1186,plain,
% 8.57/8.66 (E(f3(x11861,f3(f3(x11862,x11862),x11863)),f3(x11861,a2))),
% 8.57/8.66 inference(scs_inference,[],[180,1081,886,6,4,5])).
% 8.57/8.66 cnf(1187,plain,
% 8.57/8.66 (E(a2,f3(f3(x11871,x11871),x11872))),
% 8.57/8.66 inference(scs_inference,[],[180,1081,886,6,4,5,2])).
% 8.57/8.66 cnf(1188,plain,
% 8.57/8.66 (E(f3(a5,a5),f3(f3(a5,f3(a5,f3(a5,a5))),a2))),
% 8.57/8.66 inference(scs_inference,[],[180,1144,1081,886,731,6,4,5,2,3])).
% 8.57/8.66 cnf(1191,plain,
% 8.57/8.66 (~P1(f3(f3(a5,a1),f3(a5,f3(a5,a4))),a2)),
% 8.57/8.66 inference(scs_inference,[],[225,56,1160,6])).
% 8.57/8.66 cnf(1194,plain,
% 8.57/8.66 (E(f3(a2,x11941),f3(f3(x11942,x11942),x11943))),
% 8.57/8.66 inference(scs_inference,[],[1191,1187,20,59])).
% 8.57/8.66 cnf(1195,plain,
% 8.57/8.66 (~P1(f3(f3(a5,a1),a2),f3(a5,f3(a5,a4)))),
% 8.57/8.66 inference(scs_inference,[],[1191,1187,20,59,25])).
% 8.57/8.66 cnf(1197,plain,
% 8.57/8.66 (~P1(f3(f3(a5,a1),a2),f3(f3(x11971,f3(a5,a4)),f3(f3(x11971,a5),f3(a5,a4))))),
% 8.57/8.66 inference(scs_inference,[],[174,1191,1187,20,59,25,22])).
% 8.57/8.66 cnf(1200,plain,
% 8.57/8.66 (~P1(f3(f3(f3(a5,a1),f3(a5,f3(a5,a4))),a2),a2)),
% 8.57/8.66 inference(scs_inference,[],[174,1191,1187,12,20,59,25,22,21])).
% 8.57/8.66 cnf(1204,plain,
% 8.57/8.66 (~P1(f3(f3(a5,a1),f3(x12041,x12041)),f3(a5,f3(a5,a4)))),
% 8.57/8.66 inference(scs_inference,[],[183,174,1191,1187,12,20,59,25,22,21,2,6])).
% 8.57/8.66 cnf(1206,plain,
% 8.57/8.66 (~P1(f3(f3(a5,a1),f3(a5,f3(a5,a4))),f3(f3(x12061,x12061),x12062))),
% 8.57/8.66 inference(scs_inference,[],[183,180,174,1191,1187,12,20,59,25,22,21,2,6,7])).
% 8.57/8.66 cnf(1207,plain,
% 8.57/8.66 (~E(f3(f3(f3(a5,a1),f3(a5,f3(a5,a4))),a2),f3(f3(x12071,x12071),x12072))),
% 8.57/8.66 inference(scs_inference,[],[183,180,174,1191,1187,12,20,59,25,22,21,2,6,7,3])).
% 8.57/8.66 cnf(1208,plain,
% 8.57/8.66 (~P1(f3(a5,a1),f3(x12081,x12081))),
% 8.57/8.66 inference(scs_inference,[],[183,180,174,1191,1187,12,20,59,25,22,21,2,6,7,3,24])).
% 8.57/8.66 cnf(1210,plain,
% 8.57/8.66 (~P1(a5,a1)),
% 8.57/8.66 inference(scs_inference,[],[183,180,174,1191,1187,12,20,59,25,22,21,2,6,7,3,24,23])).
% 8.57/8.66 cnf(1213,plain,
% 8.57/8.66 (P1(f3(f3(f3(f3(x12131,x12132),f3(x12133,x12132)),f3(f3(x12131,x12133),x12132)),f3(x12134,x12134)),x12135)),
% 8.57/8.66 inference(scs_inference,[],[801,25])).
% 8.57/8.66 cnf(1222,plain,
% 8.57/8.66 (E(f3(a5,f3(a5,f3(a5,a5))),f3(f3(x12221,x12222),f3(f3(x12221,a2),x12222)))),
% 8.57/8.66 inference(scs_inference,[],[165,172,1092,801,1107,432,25,23,24,22,21])).
% 8.57/8.66 cnf(1225,plain,
% 8.57/8.66 (~E(f3(f3(a5,a1),f3(a5,f3(a5,a4))),f3(x12251,x12251))),
% 8.57/8.66 inference(scs_inference,[],[165,172,1092,801,1107,1207,432,25,23,24,22,21,4])).
% 8.57/8.66 cnf(1226,plain,
% 8.57/8.66 (~E(f3(f3(f3(a5,a1),f3(a5,f3(a5,a4))),a2),f3(f3(x12261,x12261),x12262))),
% 8.57/8.66 inference(rename_variables,[],[1207])).
% 8.57/8.66 cnf(1227,plain,
% 8.57/8.66 (~E(f3(a5,f3(a5,a4)),f3(a5,a1))),
% 8.57/8.66 inference(scs_inference,[],[165,172,1092,801,1107,1207,432,25,23,24,22,21,4,5])).
% 8.57/8.66 cnf(1228,plain,
% 8.57/8.66 (~E(f3(f3(x12281,x12281),x12282),f3(f3(f3(a5,a1),f3(a5,f3(a5,a4))),a2))),
% 8.57/8.66 inference(scs_inference,[],[165,172,1092,801,1107,1207,1226,432,25,23,24,22,21,4,5,2])).
% 8.57/8.66 cnf(1231,plain,
% 8.57/8.66 (P1(f3(f3(f3(a1,a2),x12311),f3(x12312,x12312)),f3(a1,a2))),
% 8.57/8.66 inference(scs_inference,[],[165,183,178,172,174,1092,801,1204,1107,1207,1226,432,25,23,24,22,21,4,5,2,6,7])).
% 8.57/8.66 cnf(1232,plain,
% 8.57/8.66 (E(f3(x12321,f3(x12322,x12322)),f3(x12321,a2))),
% 8.57/8.66 inference(rename_variables,[],[183])).
% 8.57/8.66 cnf(1234,plain,
% 8.57/8.66 (E(f3(f3(x12341,x12341),f3(x12342,x12342)),f3(a2,a2))),
% 8.57/8.66 inference(scs_inference,[],[165,183,1232,182,178,172,174,1092,801,1204,1107,1207,1226,432,25,23,24,22,21,4,5,2,6,7,3])).
% 8.57/8.66 cnf(1243,plain,
% 8.57/8.66 (E(f3(a5,a1),f3(f3(a5,f3(a1,a2)),a1))),
% 8.57/8.66 inference(scs_inference,[],[184,178,1208,1074,37,25,22,21])).
% 8.57/8.66 cnf(1246,plain,
% 8.57/8.66 (E(f3(f3(x12461,f3(x12462,x12462)),x12463),f3(f3(x12461,a2),x12463))),
% 8.57/8.66 inference(scs_inference,[],[184,183,178,1208,1074,37,25,22,21,4])).
% 8.57/8.66 cnf(1248,plain,
% 8.57/8.66 (E(f3(a5,f3(a5,f3(a5,a5))),f3(f3(x12481,x12481),x12482))),
% 8.57/8.66 inference(scs_inference,[],[184,183,178,1208,1181,1074,37,25,22,21,4,5,2])).
% 8.57/8.66 cnf(1252,plain,
% 8.57/8.66 (~E(f3(a5,f3(f3(a1,a2),x12521)),f3(x12522,x12522))),
% 8.57/8.66 inference(scs_inference,[],[184,183,178,176,1208,1181,1074,37,25,22,21,4,5,2,6,7])).
% 8.57/8.66 cnf(1260,plain,
% 8.57/8.66 (P1(f3(f3(f3(f3(x12601,x12602),f3(f3(x12601,x12603),x12602)),f3(x12603,x12602)),f3(x12604,x12604)),x12605)),
% 8.57/8.66 inference(scs_inference,[],[831,25])).
% 8.57/8.66 cnf(1263,plain,
% 8.57/8.66 (P1(f3(f3(f3(f3(x12631,x12632),f3(x12633,x12632)),f3(f3(x12631,x12633),x12632)),f3(x12634,x12634)),x12635)),
% 8.57/8.66 inference(rename_variables,[],[1213])).
% 8.57/8.66 cnf(1269,plain,
% 8.57/8.66 (~E(f3(a5,a1),f3(a5,f3(a5,a4)))),
% 8.57/8.66 inference(scs_inference,[],[831,1213,1225,1210,251,1252,25,22,21,4])).
% 8.57/8.66 cnf(1270,plain,
% 8.57/8.66 (~E(f3(f3(a5,a1),f3(a5,f3(a5,a4))),f3(x12701,x12701))),
% 8.57/8.66 inference(rename_variables,[],[1225])).
% 8.57/8.66 cnf(1271,plain,
% 8.57/8.66 (~E(f3(a5,a4),a1)),
% 8.57/8.66 inference(scs_inference,[],[831,1213,1227,1225,1210,251,1252,25,22,21,4,5])).
% 8.57/8.66 cnf(1272,plain,
% 8.57/8.66 (~E(f3(x12721,x12721),f3(f3(a5,a1),f3(a5,f3(a5,a4))))),
% 8.57/8.66 inference(scs_inference,[],[831,1213,1227,1225,1270,1210,251,1252,25,22,21,4,5,2])).
% 8.57/8.66 cnf(1273,plain,
% 8.57/8.66 (~P1(f3(f3(a5,a1),f3(x12731,x12731)),f3(f3(x12732,f3(a5,a4)),f3(f3(x12732,a5),f3(a5,a4))))),
% 8.57/8.66 inference(scs_inference,[],[183,831,1213,1227,1225,1270,1210,251,1197,1252,25,22,21,4,5,2,6])).
% 8.57/8.66 cnf(1275,plain,
% 8.57/8.66 (~P1(f3(f3(a5,a1),f3(a5,f3(a5,a4))),f3(a5,f3(a5,f3(a5,a5))))),
% 8.57/8.66 inference(scs_inference,[],[170,183,831,1213,1227,1225,1270,1206,1210,251,1197,1252,25,22,21,4,5,2,6,7])).
% 8.57/8.66 cnf(1282,plain,
% 8.57/8.66 (P1(f3(x12821,x12822),f3(x12821,f3(f3(f3(f3(x12823,x12824),f3(x12825,x12824)),f3(f3(x12823,x12825),x12824)),f3(x12826,x12826))))),
% 8.57/8.66 inference(scs_inference,[],[170,183,831,1213,1263,1227,1225,1270,1206,1210,251,1197,1252,686,25,22,21,4,5,2,6,7,3,24,23])).
% 8.57/8.66 cnf(1284,plain,
% 8.57/8.66 (~P1(f3(f3(a5,a1),f3(a5,f3(a5,f3(a5,a5)))),f3(a5,f3(a5,a4)))),
% 8.57/8.66 inference(scs_inference,[],[1275,25])).
% 8.57/8.66 cnf(1286,plain,
% 8.57/8.66 (P1(f3(f3(f3(f3(f3(x12861,x12862),f3(f3(x12861,x12863),x12862)),f3(x12863,x12862)),f3(x12864,x12864)),x12865),f3(x12866,x12865))),
% 8.57/8.66 inference(scs_inference,[],[1260,1275,25,24])).
% 8.57/8.66 cnf(1290,plain,
% 8.57/8.66 (P1(f3(f3(f3(x12901,x12902),f3(x12903,x12902)),x12904),f3(f3(x12901,x12903),x12902))),
% 8.57/8.66 inference(rename_variables,[],[184])).
% 8.57/8.66 cnf(1292,plain,
% 8.57/8.66 (E(f3(f3(a1,a2),a2),f3(a1,f3(a5,f3(a5,f3(a5,a5)))))),
% 8.57/8.66 inference(scs_inference,[],[184,172,1260,1275,916,1081,25,24,22,21])).
% 8.57/8.66 cnf(1296,plain,
% 8.57/8.66 (E(f3(x12961,f3(x12962,x12962)),f3(x12961,f3(f3(a5,f3(a5,f3(a5,a5))),f3(a2,a2))))),
% 8.57/8.66 inference(scs_inference,[],[187,184,172,1260,1275,1145,916,1081,25,24,22,21,4,5,2])).
% 8.57/8.66 cnf(1297,plain,
% 8.57/8.66 (~E(f3(f3(x12971,f3(a5,a4)),f3(f3(x12971,a5),f3(a5,a4))),f3(f3(a5,a1),a2))),
% 8.57/8.66 inference(scs_inference,[],[187,184,172,174,1260,1275,1145,916,1195,1081,25,24,22,21,4,5,2,6])).
% 8.57/8.66 cnf(1302,plain,
% 8.57/8.66 (E(f3(a5,f3(a5,f3(a5,a5))),f3(f3(f3(a1,a2),a1),f3(x13021,f3(x13021,a2))))),
% 8.57/8.66 inference(scs_inference,[],[170,187,184,1290,182,172,174,1260,1275,1145,1044,916,1195,1081,25,24,22,21,4,5,2,6,7,3])).
% 8.57/8.66 cnf(1311,plain,
% 8.57/8.66 (~P1(f3(a5,f3(f3(a1,a2),x13111)),f3(x13112,x13112))),
% 8.57/8.66 inference(scs_inference,[],[176,1286,1208,25,22])).
% 8.57/8.66 cnf(1322,plain,
% 8.57/8.66 (P1(f3(f3(a1,a2),a2),f3(a1,f3(x13221,x13221)))),
% 8.57/8.66 inference(scs_inference,[],[183,172,176,1286,1269,927,1137,1297,1252,1208,25,22,21,4,5,2,6])).
% 8.57/8.66 cnf(1327,plain,
% 8.57/8.66 (~E(f3(a5,f3(a5,a5)),f3(f3(a1,a2),x13271))),
% 8.57/8.66 inference(scs_inference,[],[187,182,183,172,176,1286,1061,1269,927,1137,1297,1252,1208,25,22,21,4,5,2,6,7,3])).
% 8.57/8.66 cnf(1328,plain,
% 8.57/8.66 (~P1(a5,f3(f3(a1,a2),x13281))),
% 8.57/8.66 inference(scs_inference,[],[187,182,183,172,176,1286,1061,1269,927,1137,1297,1252,1208,25,22,21,4,5,2,6,7,3,23])).
% 8.57/8.66 cnf(1330,plain,
% 8.57/8.66 (P1(f3(f3(f3(f3(a1,a2),x13301),f3(x13302,x13302)),x13303),f3(f3(a1,a2),x13303))),
% 8.57/8.66 inference(scs_inference,[],[187,182,183,172,176,1286,1061,1269,1231,927,1137,1297,1252,1208,25,22,21,4,5,2,6,7,3,23,24])).
% 8.57/8.66 cnf(1333,plain,
% 8.57/8.66 (P1(f3(x13331,f3(f3(a1,x13332),a2)),f3(x13331,f3(a1,f3(x13332,a2))))),
% 8.57/8.66 inference(scs_inference,[],[190,23])).
% 8.57/8.66 cnf(1335,plain,
% 8.57/8.66 (~P1(f3(f3(a5,a1),f3(f3(x13351,f3(a5,a4)),f3(f3(x13351,a5),f3(a5,a4)))),f3(x13352,x13352))),
% 8.57/8.66 inference(scs_inference,[],[190,1273,23,25])).
% 8.57/8.66 cnf(1345,plain,
% 8.57/8.66 (E(f3(f3(f3(x13451,x13451),x13452),x13453),f3(f3(a2,x13452),x13453))),
% 8.57/8.66 inference(scs_inference,[],[190,182,1327,1273,604,1328,23,25,22,21,4])).
% 8.57/8.66 cnf(1346,plain,
% 8.57/8.66 (E(f3(x13461,f3(f3(x13462,x13462),x13463)),f3(x13461,f3(a2,x13463)))),
% 8.57/8.66 inference(scs_inference,[],[190,182,1327,1273,604,1328,23,25,22,21,4,5])).
% 8.57/8.66 cnf(1347,plain,
% 8.57/8.66 (E(f3(f3(x13471,x13471),x13472),f3(f3(f3(a5,f3(a5,f3(a5,a5))),f3(a2,a2)),x13472))),
% 8.57/8.66 inference(scs_inference,[],[190,182,1327,1152,1273,604,1328,23,25,22,21,4,5,2])).
% 8.57/8.66 cnf(1348,plain,
% 8.57/8.66 (~P1(f3(f3(f3(a5,a1),f3(a5,f3(a5,a4))),f3(x13481,x13481)),a2)),
% 8.57/8.66 inference(scs_inference,[],[190,182,183,1327,1152,1273,604,1328,1200,23,25,22,21,4,5,2,6])).
% 8.57/8.66 cnf(1349,plain,
% 8.57/8.66 (E(f3(x13491,f3(x13492,x13492)),f3(x13491,a2))),
% 8.57/8.66 inference(rename_variables,[],[183])).
% 8.57/8.66 cnf(1350,plain,
% 8.57/8.66 (~P1(f3(f3(a5,a1),f3(x13501,x13501)),f3(a5,f3(a5,f3(a5,a5))))),
% 8.57/8.66 inference(scs_inference,[],[190,182,183,1248,1327,1152,1273,604,1328,1200,23,25,22,21,4,5,2,6,7])).
% 8.57/8.66 cnf(1353,plain,
% 8.57/8.66 (~E(f3(f3(x13531,x13531),x13532),f3(f3(f3(a5,a1),f3(a5,f3(a5,a4))),f3(x13533,x13533)))),
% 8.57/8.66 inference(scs_inference,[],[190,182,183,1349,1248,1327,1152,1273,1228,604,1328,1200,23,25,22,21,4,5,2,6,7,3])).
% 8.57/8.66 cnf(1358,plain,
% 8.57/8.66 (~P1(f3(a5,a1),f3(f3(x13581,f3(a5,a4)),f3(f3(x13581,a5),f3(a5,a4))))),
% 8.57/8.66 inference(scs_inference,[],[1335,23])).
% 8.57/8.66 cnf(1366,plain,
% 8.57/8.66 (E(f3(f3(a1,a2),a2),f3(a1,f3(a2,a2)))),
% 8.57/8.66 inference(scs_inference,[],[190,178,1130,1335,1322,23,25,22,21])).
% 8.57/8.66 cnf(1370,plain,
% 8.57/8.66 (~E(a5,f3(a1,a2))),
% 8.57/8.66 inference(scs_inference,[],[190,178,1130,1335,1322,1327,23,25,22,21,4])).
% 8.57/8.66 cnf(1374,plain,
% 8.57/8.66 (E(f3(a5,f3(a5,f3(a5,a5))),f3(f3(a1,f3(a1,a2)),f3(a2,f3(a1,a2))))),
% 8.57/8.66 inference(scs_inference,[],[190,178,1130,1149,1335,1322,1327,1252,23,25,22,21,4,5,2])).
% 8.57/8.66 cnf(1382,plain,
% 8.57/8.67 (~P1(f3(f3(a5,a1),f3(a5,f3(a5,f3(a5,a5)))),f3(x13821,x13821))),
% 8.57/8.67 inference(scs_inference,[],[1350,25])).
% 8.57/8.67 cnf(1384,plain,
% 8.57/8.67 (P1(f3(x13841,f3(x13842,f3(x13843,x13844))),f3(x13841,f3(x13842,f3(x13843,a2))))),
% 8.57/8.67 inference(scs_inference,[],[1350,633,25,23])).
% 8.57/8.67 cnf(1393,plain,
% 8.57/8.67 (E(f3(f3(f3(x13931,x13931),f3(a1,a2)),x13932),f3(f3(a2,a1),x13932))),
% 8.57/8.67 inference(scs_inference,[],[193,190,176,1350,1358,633,687,25,23,22,21,4])).
% 8.57/8.67 cnf(1394,plain,
% 8.57/8.67 (E(f3(x13941,f3(f3(x13942,x13942),f3(a1,a2))),f3(x13941,f3(a2,a1)))),
% 8.57/8.67 inference(scs_inference,[],[193,190,176,1350,1358,633,687,25,23,22,21,4,5])).
% 8.57/8.67 cnf(1395,plain,
% 8.57/8.67 (~E(f3(f3(f3(a5,a1),f3(a5,f3(a5,a4))),f3(x13951,x13951)),f3(f3(x13952,x13952),x13953))),
% 8.57/8.67 inference(scs_inference,[],[193,190,176,1353,1350,1358,633,687,25,23,22,21,4,5,2])).
% 8.57/8.67 cnf(1399,plain,
% 8.57/8.67 (P1(f3(f3(f3(x13991,f3(a1,a2)),f3(x13991,f3(a1,a2))),x13992),f3(a2,a1))),
% 8.57/8.67 inference(scs_inference,[],[193,184,190,183,176,1353,1350,487,1358,633,687,25,23,22,21,4,5,2,6,7])).
% 8.57/8.67 cnf(1401,plain,
% 8.57/8.67 (~E(f3(a2,a1),f3(f3(f3(a5,a1),f3(a5,f3(a5,a4))),f3(x14011,x14011)))),
% 8.57/8.67 inference(scs_inference,[],[193,184,190,183,176,1353,1350,487,1358,633,687,25,23,22,21,4,5,2,6,7,3])).
% 8.57/8.67 cnf(1407,plain,
% 8.57/8.67 (~P1(f3(a5,a1),f3(a5,f3(a5,f3(a5,a5))))),
% 8.57/8.67 inference(scs_inference,[],[1382,23])).
% 8.57/8.67 cnf(1408,plain,
% 8.57/8.67 (~P1(f3(f3(a5,a1),f3(a5,f3(a5,f3(a5,a5)))),f3(x14081,x14081))),
% 8.57/8.67 inference(rename_variables,[],[1382])).
% 8.57/8.67 cnf(1410,plain,
% 8.57/8.67 (P1(f3(f3(f3(f3(a1,a2),x14101),f3(x14102,x14102)),f3(f3(a1,a2),x14103)),x14103)),
% 8.57/8.67 inference(scs_inference,[],[1382,1330,23,25])).
% 8.57/8.67 cnf(1412,plain,
% 8.57/8.67 (~P1(f3(f3(a5,a1),f3(a5,f3(a5,f3(a5,a5)))),f3(f3(a1,a2),a1))),
% 8.57/8.67 inference(scs_inference,[],[172,1382,1408,1330,23,25,22])).
% 8.57/8.67 cnf(1413,plain,
% 8.57/8.67 (~P1(f3(f3(a5,a1),f3(a5,f3(a5,f3(a5,a5)))),f3(x14131,x14131))),
% 8.57/8.67 inference(rename_variables,[],[1382])).
% 8.57/8.67 cnf(1414,plain,
% 8.57/8.67 (P1(f3(f3(a1,a2),x14141),f3(a1,x14141))),
% 8.57/8.67 inference(rename_variables,[],[172])).
% 8.57/8.67 cnf(1419,plain,
% 8.57/8.67 (E(f3(f3(a2,a1),x14191),f3(f3(f3(x14192,x14192),f3(a1,a2)),x14191))),
% 8.57/8.67 inference(scs_inference,[],[172,1382,1408,1330,1393,1401,72,23,25,22,21,2])).
% 8.57/8.67 cnf(1423,plain,
% 8.57/8.67 (~P1(f3(f3(a5,a1),f3(a5,f3(a5,f3(a5,a5)))),f3(f3(x14231,x14231),a2))),
% 8.57/8.67 inference(scs_inference,[],[172,1414,182,1382,1408,1413,1330,1296,1393,1401,72,23,25,22,21,2,6,7])).
% 8.57/8.67 cnf(1426,plain,
% 8.57/8.67 (~E(f3(a2,a1),f3(f3(f3(a5,a1),f3(a5,f3(a5,a4))),f3(a2,x14261)))),
% 8.57/8.67 inference(scs_inference,[],[172,1414,182,1382,1408,1413,1330,1296,1393,1401,766,72,23,25,22,21,2,6,7,3])).
% 8.57/8.67 cnf(1432,plain,
% 8.57/8.67 (~P1(f3(f3(a5,a1),f3(f3(a1,a2),a1)),f3(a5,f3(a5,f3(a5,a5))))),
% 8.57/8.67 inference(scs_inference,[],[1412,25])).
% 8.57/8.67 cnf(1442,plain,
% 8.57/8.67 (~E(f3(f3(f3(a5,a1),f3(a5,f3(a5,a4))),f3(a2,x14421)),f3(a2,a1))),
% 8.57/8.67 inference(scs_inference,[],[174,190,1412,635,1426,1031,72,25,23,22,21,2])).
% 8.57/8.67 cnf(1454,plain,
% 8.57/8.67 (P1(f3(f3(f3(x14541,f3(a1,a2)),f3(x14541,f3(a1,a2))),f3(a2,a1)),x14542)),
% 8.57/8.67 inference(scs_inference,[],[1399,25])).
% 8.57/8.67 cnf(1456,plain,
% 8.57/8.67 (~P1(f3(a5,f3(f3(a1,a2),x14561)),f3(a5,f3(a5,f3(a5,a5))))),
% 8.57/8.67 inference(scs_inference,[],[176,1407,1399,25,22])).
% 8.57/8.67 cnf(1462,plain,
% 8.57/8.67 (E(f3(x14621,f3(a2,a1)),f3(x14621,f3(f3(x14622,x14622),f3(a1,a2))))),
% 8.57/8.67 inference(scs_inference,[],[176,1407,1394,1399,72,25,22,21,2])).
% 8.57/8.67 cnf(1465,plain,
% 8.57/8.67 (P1(f3(f3(f3(a1,a2),x14651),x14652),f3(f3(a1,a2),x14652))),
% 8.57/8.67 inference(scs_inference,[],[196,178,176,1407,1394,1399,484,72,25,22,21,2,6,7])).
% 8.57/8.67 cnf(1467,plain,
% 8.57/8.67 (~E(f3(f3(a1,a2),a1),f3(f3(a5,a1),f3(a5,f3(a5,a4))))),
% 8.57/8.67 inference(scs_inference,[],[196,178,176,1407,1394,1399,484,1272,72,25,22,21,2,6,7,3])).
% 8.57/8.67 cnf(1468,plain,
% 8.57/8.67 (E(f3(a1,x14681),f3(f3(a1,a2),x14681))),
% 8.57/8.67 inference(rename_variables,[],[196])).
% 8.57/8.67 cnf(1470,plain,
% 8.57/8.67 (~P1(f3(a5,f3(a5,a5)),f3(f3(a1,a2),x14701))),
% 8.57/8.67 inference(scs_inference,[],[196,178,176,1407,1394,1399,484,1272,72,25,22,21,2,6,7,3,23])).
% 8.57/8.67 cnf(1472,plain,
% 8.57/8.67 (~P1(a5,f3(a1,a2))),
% 8.57/8.67 inference(scs_inference,[],[196,178,176,1407,1394,1399,484,1272,72,25,22,21,2,6,7,3,23,24])).
% 8.57/8.67 cnf(1474,plain,
% 8.57/8.67 (E(f3(x14741,f3(a1,x14742)),f3(x14741,f3(f3(a1,a2),x14742)))),
% 8.57/8.67 inference(scs_inference,[],[196,1468,178,176,1407,1394,1399,484,1272,72,25,22,21,2,6,7,3,23,24,5])).
% 8.57/8.67 cnf(1475,plain,
% 8.57/8.67 (E(f3(f3(f3(x14751,x14751),f3(x14752,x14752)),x14753),f3(f3(a2,a2),x14753))),
% 8.57/8.67 inference(scs_inference,[],[196,1468,178,176,1407,1234,1394,1399,484,1272,72,25,22,21,2,6,7,3,23,24,5,4])).
% 8.57/8.67 cnf(1477,plain,
% 8.57/8.67 (P1(f3(x14771,f3(a5,a1)),f3(x14771,f3(x14772,f3(a1,a2))))),
% 8.57/8.67 inference(scs_inference,[],[197,23])).
% 8.57/8.67 cnf(1481,plain,
% 8.57/8.67 (P1(f3(f3(x14811,f3(a1,a2)),x14812),f3(f3(a5,a1),x14812))),
% 8.57/8.67 inference(scs_inference,[],[197,1423,23,25,24])).
% 8.57/8.67 cnf(1485,plain,
% 8.57/8.67 (P1(f3(x14851,a1),f3(x14851,f3(f3(a1,a2),x14852)))),
% 8.57/8.67 inference(rename_variables,[],[176])).
% 8.57/8.67 cnf(1487,plain,
% 8.57/8.67 (~P1(f3(f3(a5,a1),f3(a5,f3(a5,a4))),f3(f3(a1,a2),a1))),
% 8.57/8.67 inference(scs_inference,[],[176,197,1467,1423,1311,141,23,25,24,22,21])).
% 8.57/8.67 cnf(1491,plain,
% 8.57/8.67 (P1(f3(f3(a2,a2),a1),f3(f3(f3(x14911,x14911),f3(x14912,x14912)),f3(f3(a1,a2),x14913)))),
% 8.57/8.67 inference(scs_inference,[],[176,1485,197,1475,1467,1423,1311,141,23,25,24,22,21,2,6])).
% 8.57/8.67 cnf(1494,plain,
% 8.57/8.67 (~P1(f3(a5,f3(a5,a5)),f3(a1,x14941))),
% 8.57/8.67 inference(scs_inference,[],[176,1485,197,196,1475,1467,1470,1423,1311,141,23,25,24,22,21,2,6,7])).
% 8.57/8.67 cnf(1496,plain,
% 8.57/8.67 (~E(f3(a5,a4),f3(f3(a1,a2),a2))),
% 8.57/8.67 inference(scs_inference,[],[176,1485,197,196,1475,1467,1470,1271,1423,1311,338,141,23,25,24,22,21,2,6,7,3])).
% 8.57/8.67 cnf(1501,plain,
% 8.57/8.67 (P1(f3(x15011,f3(a5,a1)),f3(a1,a2))),
% 8.57/8.67 inference(scs_inference,[],[197,25])).
% 8.57/8.67 cnf(1510,plain,
% 8.57/8.67 (E(f3(f3(x15101,x15102),f3(f3(x15101,a2),x15102)),f3(a5,f3(a5,f3(a5,a5))))),
% 8.57/8.67 inference(scs_inference,[],[176,197,1222,951,573,25,22,21,2])).
% 8.57/8.67 cnf(1511,plain,
% 8.57/8.67 (~E(f3(f3(f3(a1,a1),f3(a2,a1)),x15111),f3(f3(a5,a1),f3(a5,f3(a5,a4))))),
% 8.57/8.67 inference(scs_inference,[],[176,197,184,1487,1222,951,573,25,22,21,2,6])).
% 8.57/8.67 cnf(1513,plain,
% 8.57/8.67 (P1(f3(f3(f3(f3(a1,a2),x15131),f3(x15132,x15132)),f3(f3(a1,a2),a5)),f3(a5,f3(a5,a5)))),
% 8.57/8.67 inference(scs_inference,[],[176,197,184,187,1487,1410,1222,951,573,25,22,21,2,6,7])).
% 8.57/8.67 cnf(1518,plain,
% 8.57/8.67 (~E(f3(f3(a1,a1),f3(a2,a1)),f3(a5,a1))),
% 8.57/8.67 inference(scs_inference,[],[176,197,184,187,183,1487,1410,1347,1222,951,573,25,22,21,2,6,7,3,4])).
% 8.57/8.67 cnf(1522,plain,
% 8.57/8.67 (~P1(f3(a5,f3(a5,f3(a5,f3(a5,a5)))),f3(f3(a1,a2),x15221))),
% 8.57/8.67 inference(scs_inference,[],[197,1456,19,25])).
% 8.57/8.67 cnf(1525,plain,
% 8.57/8.67 (P1(f3(x15251,f3(a5,a1)),f3(x15251,f3(x15252,f3(a1,a2))))),
% 8.57/8.67 inference(rename_variables,[],[1477])).
% 8.57/8.67 cnf(1532,plain,
% 8.57/8.67 (~E(f3(f3(a1,a2),a2),f3(a5,a4))),
% 8.57/8.67 inference(scs_inference,[],[178,200,197,1496,1477,1157,1456,141,19,25,22,21,4,2])).
% 8.57/8.67 cnf(1536,plain,
% 8.57/8.67 (P1(f3(x15361,f3(a1,a2)),f3(f3(a5,f3(a1,a2)),a1))),
% 8.57/8.67 inference(scs_inference,[],[178,200,197,196,1496,1477,1525,1243,1157,1456,141,19,25,22,21,4,2,6,7])).
% 8.57/8.67 cnf(1537,plain,
% 8.57/8.67 (~E(f3(a2,a1),f3(f3(f3(a5,a1),f3(a5,f3(a5,a4))),a2))),
% 8.57/8.67 inference(scs_inference,[],[178,200,197,193,196,1496,1477,1525,1243,1157,1456,1228,141,19,25,22,21,4,2,6,7,3])).
% 8.57/8.67 cnf(1540,plain,
% 8.57/8.67 (P1(f3(x15401,f3(a1,a2)),f3(x15401,f3(x15402,f3(a5,a1))))),
% 8.57/8.67 inference(scs_inference,[],[178,200,197,193,196,1496,1477,1525,1501,1243,1157,1456,1228,141,19,25,22,21,4,2,6,7,3,23])).
% 8.57/8.67 cnf(1542,plain,
% 8.57/8.67 (P1(f3(f3(x15421,f3(a5,a1)),x15422),f3(f3(a1,a2),x15422))),
% 8.57/8.67 inference(scs_inference,[],[178,200,197,193,196,1496,1477,1525,1501,1243,1157,1456,1228,141,19,25,22,21,4,2,6,7,3,23,24])).
% 8.57/8.67 cnf(1545,plain,
% 8.57/8.67 (P1(f3(x15451,f3(x15451,f3(x15452,f3(a5,a1)))),f3(a1,a2))),
% 8.57/8.67 inference(scs_inference,[],[1540,25])).
% 8.57/8.67 cnf(1550,plain,
% 8.57/8.67 (~P1(f3(f3(f3(a5,a1),f3(a5,f3(a5,a4))),a2),f3(a2,a1))),
% 8.57/8.67 inference(scs_inference,[],[178,1540,1537,1472,72,25,22,21])).
% 8.57/8.67 cnf(1553,plain,
% 8.57/8.67 (E(f3(f3(f3(a1,a2),a1),f3(x15531,f3(x15531,a2))),f3(a5,f3(a5,f3(a5,a5))))),
% 8.57/8.67 inference(scs_inference,[],[178,1540,1537,1472,1302,72,25,22,21,2])).
% 8.57/8.67 cnf(1555,plain,
% 8.57/8.67 (~P1(f3(f3(a5,a1),f3(f3(a1,a2),a1)),f3(f3(x15551,x15552),f3(f3(x15551,a2),x15552)))),
% 8.57/8.67 inference(scs_inference,[],[178,187,1540,1432,1537,1472,1302,1510,1494,72,25,22,21,2,6,7])).
% 8.57/8.67 cnf(1558,plain,
% 8.57/8.67 (~P1(f3(f3(a5,a2),a1),f3(f3(a1,a2),a1))),
% 8.57/8.67 inference(scs_inference,[],[178,187,1532,1540,1432,1537,1472,1302,1510,1494,686,72,25,22,21,2,6,7,3,23])).
% 8.57/8.67 cnf(1560,plain,
% 8.57/8.67 (~P1(f3(a5,a2),f3(a1,a2))),
% 8.57/8.67 inference(scs_inference,[],[178,187,1532,1540,1432,1537,1472,1302,1510,1494,686,72,25,22,21,2,6,7,3,23,24])).
% 8.57/8.67 cnf(1568,plain,
% 8.57/8.67 (P1(f3(f3(x15681,a1),x15682),f3(f3(a5,f3(a1,a2)),x15682))),
% 8.57/8.67 inference(scs_inference,[],[201,1560,23,25,24])).
% 8.57/8.67 cnf(1570,plain,
% 8.57/8.67 (P1(f3(f3(f3(x15701,a1),f3(x15702,a1)),x15703),f3(a5,f3(a1,a2)))),
% 8.57/8.67 inference(scs_inference,[],[201,184,1560,23,25,24,22])).
% 8.57/8.67 cnf(1571,plain,
% 8.57/8.67 (P1(f3(x15711,a1),f3(a5,f3(a1,a2)))),
% 8.57/8.67 inference(rename_variables,[],[201])).
% 8.57/8.67 cnf(1574,plain,
% 8.57/8.67 (E(f3(f3(a5,f3(a1,a2)),a1),f3(a5,f3(a1,a2)))),
% 8.57/8.67 inference(scs_inference,[],[201,1571,184,1560,1536,23,25,24,22,21])).
% 8.57/8.67 cnf(1579,plain,
% 8.57/8.67 (~E(f3(x15791,f3(x15791,f3(x15792,f3(a5,a1)))),f3(a5,a2))),
% 8.57/8.67 inference(scs_inference,[],[201,1571,184,1545,1560,1370,1536,23,25,24,22,21,2,6])).
% 8.57/8.67 cnf(1581,plain,
% 8.57/8.67 (E(f3(a1,x15811),f3(f3(a1,a2),x15811))),
% 8.57/8.67 inference(rename_variables,[],[196])).
% 8.57/8.67 cnf(1588,plain,
% 8.57/8.67 (~E(a2,f3(a5,a2))),
% 8.57/8.67 inference(scs_inference,[],[201,1571,184,196,1581,1282,1545,1560,1462,1370,1536,23,25,24,22,21,2,6,7,3,20,59])).
% 8.57/8.67 cnf(1592,plain,
% 8.57/8.67 (~P1(f3(a5,f3(a1,a2)),f3(f3(a1,a2),a1))),
% 8.57/8.67 inference(scs_inference,[],[201,1558,25,22])).
% 8.57/8.67 cnf(1593,plain,
% 8.57/8.67 (P1(f3(x15931,a1),f3(a5,f3(a1,a2)))),
% 8.57/8.67 inference(rename_variables,[],[201])).
% 8.57/8.67 cnf(1595,plain,
% 8.57/8.67 (E(f3(f3(a5,f3(a1,a2)),x15951),f3(f3(a5,a1),x15951))),
% 8.57/8.67 inference(scs_inference,[],[201,1481,1568,1558,25,22,21])).
% 8.57/8.67 cnf(1599,plain,
% 8.57/8.67 (E(f3(f3(f3(a1,a2),a2),x15991),f3(f3(a1,f3(a2,a2)),x15991))),
% 8.57/8.67 inference(scs_inference,[],[201,1481,1366,1568,1558,25,22,21,4])).
% 8.57/8.67 cnf(1603,plain,
% 8.57/8.67 (P1(f3(f3(a5,f3(a5,f3(a5,a5))),f3(f3(a1,a2),a2)),f3(a2,f3(a1,a2)))),
% 8.57/8.67 inference(scs_inference,[],[201,1481,1579,1027,1366,1292,1474,1568,1558,25,22,21,4,5,2,6])).
% 8.57/8.67 cnf(1605,plain,
% 8.57/8.67 (~E(f3(a5,f3(a1,a2)),f3(f3(a1,a2),a1))),
% 8.57/8.67 inference(scs_inference,[],[201,1593,1481,1579,1027,1366,1292,1474,1568,1558,25,22,21,4,5,2,6,7])).
% 8.57/8.67 cnf(1615,plain,
% 8.57/8.67 (~P1(f3(a5,f3(f3(a1,a2),a1)),f3(a1,a2))),
% 8.57/8.67 inference(scs_inference,[],[204,1592,19,25])).
% 8.57/8.67 cnf(1620,plain,
% 8.57/8.67 (~P1(f3(a5,a1),f3(f3(a1,a1),f3(a2,a1)))),
% 8.57/8.67 inference(scs_inference,[],[204,1592,1518,219,19,25,22,21])).
% 8.57/8.67 cnf(1623,plain,
% 8.57/8.67 (E(f3(x16231,f3(f3(x16232,a5),x16233)),f3(x16231,f3(x16234,f3(x16234,a2))))),
% 8.57/8.67 inference(scs_inference,[],[204,1592,1518,902,219,19,25,22,21,5])).
% 8.57/8.67 cnf(1624,plain,
% 8.57/8.67 (~E(f3(f3(a1,a2),a1),f3(a5,f3(a1,a2)))),
% 8.57/8.67 inference(scs_inference,[],[204,1592,1605,1518,902,219,19,25,22,21,5,2])).
% 8.57/8.67 cnf(1625,plain,
% 8.57/8.67 (P1(f3(f3(f3(f3(a1,a2),a1),x16251),f3(f3(a2,a1),x16251)),f3(a5,f3(a1,a2)))),
% 8.57/8.67 inference(scs_inference,[],[204,201,1592,1605,1024,1518,902,219,19,25,22,21,5,2,6])).
% 8.57/8.67 cnf(1627,plain,
% 8.57/8.67 (~P1(f3(a5,f3(a1,a2)),f3(a1,a1))),
% 8.57/8.67 inference(scs_inference,[],[204,201,196,1592,1605,1024,1518,902,219,19,25,22,21,5,2,6,7])).
% 8.57/8.67 cnf(1628,plain,
% 8.57/8.67 (E(f3(a1,x16281),f3(f3(a1,a2),x16281))),
% 8.57/8.67 inference(rename_variables,[],[196])).
% 8.57/8.67 cnf(1629,plain,
% 8.57/8.67 (~E(f3(a5,f3(a1,a2)),f3(a1,a1))),
% 8.57/8.67 inference(scs_inference,[],[204,201,196,1628,1592,1605,1024,1518,902,219,19,25,22,21,5,2,6,7,3])).
% 8.57/8.67 cnf(1632,plain,
% 8.57/8.67 (P1(f3(f3(x16321,f3(a5,a1)),f3(f3(a1,a2),x16322)),x16322)),
% 8.57/8.67 inference(scs_inference,[],[1542,25])).
% 8.57/8.67 cnf(1634,plain,
% 8.57/8.67 (P1(f3(f3(f3(x16341,f3(a5,x16342)),f3(x16343,f3(a5,x16342))),x16344),x16342)),
% 8.57/8.67 inference(scs_inference,[],[204,184,1542,25,22])).
% 8.57/8.67 cnf(1635,plain,
% 8.57/8.67 (P1(f3(x16351,f3(a5,x16352)),x16352)),
% 8.57/8.67 inference(rename_variables,[],[204])).
% 8.57/8.67 cnf(1638,plain,
% 8.57/8.67 (E(f3(a2,f3(a1,a2)),f3(f3(a5,f3(a5,f3(a5,a5))),f3(f3(a1,a2),a2)))),
% 8.57/8.67 inference(scs_inference,[],[204,184,1542,1603,72,25,22,21])).
% 8.57/8.67 cnf(1641,plain,
% 8.57/8.67 (E(f3(f3(a1,f3(a2,a2)),x16411),f3(f3(f3(a1,a2),a2),x16411))),
% 8.57/8.67 inference(scs_inference,[],[204,184,1542,1603,1599,72,25,22,21,2])).
% 8.57/8.67 cnf(1642,plain,
% 8.57/8.67 (~E(f3(x16421,f3(a5,f3(a1,a1))),f3(a5,f3(a1,a2)))),
% 8.57/8.67 inference(scs_inference,[],[204,1635,184,1627,1542,1603,1599,72,25,22,21,2,6])).
% 8.57/8.67 cnf(1643,plain,
% 8.57/8.67 (P1(f3(x16431,f3(a5,x16432)),x16432)),
% 8.57/8.67 inference(rename_variables,[],[204])).
% 8.57/8.67 cnf(1645,plain,
% 8.57/8.67 (P1(f3(x16451,f3(a5,x16452)),x16452)),
% 8.57/8.67 inference(rename_variables,[],[204])).
% 8.57/8.67 cnf(1646,plain,
% 8.57/8.67 (E(f3(f3(a5,f3(a1,a2)),f3(x16461,x16461)),f3(f3(a5,a1),a2))),
% 8.57/8.67 inference(scs_inference,[],[182,204,1635,1643,184,183,1595,1627,1542,1603,1599,72,25,22,21,2,6,7,3])).
% 8.57/8.67 cnf(1650,plain,
% 8.57/8.67 (P1(f3(x16501,x16502),f3(x16501,f3(x16503,f3(a5,x16502))))),
% 8.57/8.67 inference(scs_inference,[],[182,204,1635,1643,1645,184,183,1595,1627,1542,1603,1599,72,25,22,21,2,6,7,3,5,23])).
% 8.57/8.67 cnf(1659,plain,
% 8.57/8.67 (~P1(f3(f3(a5,a1),f3(x16591,f3(a5,f3(a5,a5)))),f3(a5,f3(a5,a4)))),
% 8.57/8.67 inference(scs_inference,[],[206,1284,1550,19,24,25,22])).
% 8.57/8.67 cnf(1660,plain,
% 8.57/8.67 (P1(f3(x16601,f3(a5,x16602)),f3(x16601,f3(x16603,x16602)))),
% 8.57/8.67 inference(rename_variables,[],[206])).
% 8.57/8.67 cnf(1662,plain,
% 8.57/8.67 (~P1(f3(a5,f3(a1,a2)),f3(f3(f3(x16621,a1),f3(x16622,a1)),f3(a5,f3(a1,a1))))),
% 8.57/8.67 inference(scs_inference,[],[206,1284,1550,1570,1642,19,24,25,22,21])).
% 8.57/8.67 cnf(1666,plain,
% 8.57/8.67 (E(f3(x16661,f3(f3(a5,f3(a1,a2)),f3(x16662,x16662))),f3(x16661,f3(f3(a5,a1),a2)))),
% 8.57/8.67 inference(scs_inference,[],[206,1284,1550,1570,1646,1642,19,24,25,22,21,5])).
% 8.57/8.67 cnf(1669,plain,
% 8.57/8.67 (P1(f3(x16691,f3(a5,x16692)),f3(x16691,f3(x16693,x16692)))),
% 8.57/8.67 inference(rename_variables,[],[206])).
% 8.57/8.67 cnf(1671,plain,
% 8.57/8.67 (~E(f3(f3(a5,a1),f3(x16711,f3(a5,f3(a5,a5)))),f3(a5,f3(a5,a4)))),
% 8.57/8.67 inference(scs_inference,[],[183,206,1660,1669,1629,1284,1550,1570,1646,1642,19,24,25,22,21,5,2,6,7])).
% 8.57/8.67 cnf(1683,plain,
% 8.57/8.67 (~P1(f3(a5,f3(f3(a1,a2),a1)),f3(x16831,f3(a5,f3(a1,a2))))),
% 8.57/8.67 inference(scs_inference,[],[206,204,1615,25,22])).
% 8.57/8.67 cnf(1686,plain,
% 8.57/8.67 (~P1(f3(f3(f3(a5,a1),f3(a5,f3(a5,a4))),f3(a2,x16861)),f3(a2,a1))),
% 8.57/8.67 inference(scs_inference,[],[206,204,1615,1442,72,25,22,21])).
% 8.57/8.67 cnf(1690,plain,
% 8.57/8.67 (P1(f3(f3(f3(x16901,x16901),f3(a1,a2)),f3(a5,x16902)),f3(f3(a2,a1),f3(x16903,x16902)))),
% 8.57/8.67 inference(scs_inference,[],[206,204,1419,1638,1615,1442,72,25,22,21,2,6])).
% 8.57/8.67 cnf(1700,plain,
% 8.57/8.67 (~P1(f3(f3(a5,a1),f3(a5,f3(a5,a4))),f3(x17001,f3(a5,f3(a5,a5))))),
% 8.57/8.67 inference(scs_inference,[],[1659,25])).
% 8.57/8.67 cnf(1702,plain,
% 8.57/8.67 (P1(f3(f3(f3(x17021,f3(a1,a2)),f3(x17022,f3(a1,a2))),x17023),f3(a5,a1))),
% 8.57/8.67 inference(scs_inference,[],[184,197,1659,25,22])).
% 8.57/8.67 cnf(1704,plain,
% 8.57/8.67 (P1(f3(f3(f3(x17041,x17042),f3(x17043,x17042)),x17044),f3(f3(x17041,x17043),x17042))),
% 8.57/8.67 inference(rename_variables,[],[184])).
% 8.57/8.67 cnf(1711,plain,
% 8.57/8.67 (~E(f3(f3(f3(a1,f3(a2,a1)),f3(a1,f3(a2,a1))),x17111),f3(a5,a1))),
% 8.57/8.67 inference(scs_inference,[],[184,1704,197,1659,1671,1620,1690,587,25,22,21,2,6])).
% 8.57/8.67 cnf(1712,plain,
% 8.57/8.67 (P1(f3(f3(f3(x17121,x17122),f3(x17123,x17122)),x17124),f3(f3(x17121,x17123),x17122))),
% 8.57/8.67 inference(rename_variables,[],[184])).
% 8.57/8.67 cnf(1714,plain,
% 8.57/8.67 (E(f3(f3(x17141,x17142),f3(a5,x17142)),a2)),
% 8.57/8.67 inference(rename_variables,[],[208])).
% 8.57/8.67 cnf(1719,plain,
% 8.57/8.67 (P1(a1,f3(a5,a2))),
% 8.57/8.67 inference(scs_inference,[],[184,1704,1712,208,1714,197,196,1659,1671,1620,1690,587,25,22,21,2,6,7,3,20])).
% 8.57/8.67 cnf(1721,plain,
% 8.57/8.67 (~P1(f3(a5,f3(a5,a5)),f3(a5,f3(a5,a4)))),
% 8.57/8.67 inference(scs_inference,[],[184,1704,1712,208,1714,197,196,1659,1671,1620,1690,587,25,22,21,2,6,7,3,20,23])).
% 8.57/8.67 cnf(1727,plain,
% 8.57/8.67 (P1(f3(x17271,f3(x17272,f3(x17273,x17274))),f3(x17271,f3(x17272,f3(a5,x17274))))),
% 8.57/8.67 inference(scs_inference,[],[206,1721,20,23])).
% 8.57/8.67 cnf(1729,plain,
% 8.57/8.67 (P1(f3(f3(f3(x17291,f3(a1,a2)),f3(x17292,f3(a1,a2))),f3(a5,a1)),x17293)),
% 8.57/8.67 inference(scs_inference,[],[206,1702,1721,20,23,25])).
% 8.57/8.67 cnf(1731,plain,
% 8.57/8.67 (~P1(f3(a5,a4),f3(x17311,f3(a5,f3(a5,a5))))),
% 8.57/8.67 inference(scs_inference,[],[204,206,1700,1702,1721,20,23,25,22])).
% 8.57/8.67 cnf(1732,plain,
% 8.57/8.67 (P1(f3(x17321,f3(a5,x17322)),x17322)),
% 8.57/8.67 inference(rename_variables,[],[204])).
% 8.57/8.67 cnf(1735,plain,
% 8.57/8.67 (~P1(f3(a5,a1),f3(f3(f3(a1,f3(a2,a1)),f3(a1,f3(a2,a1))),f3(a1,a2)))),
% 8.57/8.67 inference(scs_inference,[],[208,204,206,197,1700,1702,1721,1711,20,23,25,22,4,21])).
% 8.57/8.67 cnf(1737,plain,
% 8.57/8.67 (~E(f3(f3(f3(a1,f3(a2,a1)),f3(a1,f3(a2,a1))),x17371),f3(a5,a1))),
% 8.57/8.67 inference(rename_variables,[],[1711])).
% 8.57/8.67 cnf(1741,plain,
% 8.57/8.67 (P1(f3(f3(f3(f3(a1,a2),a1),a2),f3(f3(a2,a1),f3(x17411,x17411))),f3(a5,f3(a1,a2)))),
% 8.57/8.67 inference(scs_inference,[],[208,204,206,197,1700,1702,1721,1625,1711,1246,20,23,25,22,4,21,5,2,6])).
% 8.57/8.67 cnf(1744,plain,
% 8.57/8.67 (~E(f3(a5,a4),f3(x17441,f3(a5,f3(a5,a5))))),
% 8.57/8.67 inference(scs_inference,[],[208,204,1732,206,197,1700,1702,1721,1625,1711,1246,20,23,25,22,4,21,5,2,6,7])).
% 8.57/8.67 cnf(1746,plain,
% 8.57/8.67 (~E(f3(a2,a1),f3(a5,a1))),
% 8.57/8.67 inference(scs_inference,[],[208,204,1732,193,206,197,1700,1702,1721,1625,1711,1737,1246,20,23,25,22,4,21,5,2,6,7,3])).
% 8.57/8.67 cnf(1751,plain,
% 8.57/8.67 (~E(a2,f3(a5,a1))),
% 8.57/8.67 inference(scs_inference,[],[1746,59])).
% 8.57/8.67 cnf(1754,plain,
% 8.57/8.67 (~P1(f3(a5,f3(a5,a5)),a4)),
% 8.57/8.67 inference(scs_inference,[],[210,1731,1746,59,19,23])).
% 8.57/8.67 cnf(1755,plain,
% 8.57/8.67 (~P1(f3(a5,a4),f3(x17551,f3(a5,f3(a5,a5))))),
% 8.57/8.67 inference(rename_variables,[],[1731])).
% 8.57/8.67 cnf(1759,plain,
% 8.57/8.67 (~P1(f3(f3(a5,a1),f3(f3(a1,a2),a1)),f3(f3(x17591,x17592),f3(f3(a5,a2),x17592)))),
% 8.57/8.67 inference(scs_inference,[],[210,1731,1755,1746,1555,59,19,23,25,22])).
% 8.57/8.67 cnf(1761,plain,
% 8.57/8.67 (P1(f3(f3(x17611,x17612),x17613),f3(f3(a5,x17612),x17613))),
% 8.57/8.67 inference(rename_variables,[],[210])).
% 8.57/8.67 cnf(1768,plain,
% 8.57/8.67 (~E(f3(a5,a4),f3(x17681,f3(a5,f3(a5,a5))))),
% 8.57/8.67 inference(rename_variables,[],[1744])).
% 8.57/8.67 cnf(1769,plain,
% 8.57/8.67 (~E(f3(x17691,f3(a5,f3(a5,a5))),f3(a5,a4))),
% 8.57/8.67 inference(scs_inference,[],[210,1731,1755,1744,1768,1746,1555,37,59,19,23,25,22,4,21,5,2])).
% 8.57/8.67 cnf(1773,plain,
% 8.57/8.67 (~P1(f3(a5,a1),f3(a2,x17731))),
% 8.57/8.67 inference(scs_inference,[],[210,1761,1731,1755,1744,1768,1746,1641,1735,1555,1194,37,59,19,23,25,22,4,21,5,2,6,7])).
% 8.57/8.67 cnf(1775,plain,
% 8.57/8.67 (~E(f3(f3(a1,a2),a1),f3(f3(a5,f3(a1,a2)),a1))),
% 8.57/8.67 inference(scs_inference,[],[210,1761,1624,1731,1755,1744,1768,1746,1641,1735,1555,1574,1194,37,59,19,23,25,22,4,21,5,2,6,7,3])).
% 8.57/8.67 cnf(1776,plain,
% 8.57/8.67 (P1(f3(f3(x17761,f3(a5,x17762)),x17763),f3(x17762,x17763))),
% 8.57/8.67 inference(scs_inference,[],[210,1761,204,1624,1731,1755,1744,1768,1746,1641,1735,1555,1574,1194,37,59,19,23,25,22,4,21,5,2,6,7,3,24])).
% 8.57/8.67 cnf(1781,plain,
% 8.57/8.67 (~P1(a5,a2)),
% 8.57/8.67 inference(scs_inference,[],[1729,1773,23,24])).
% 8.57/8.67 cnf(1784,plain,
% 8.57/8.67 (P1(f3(f3(x17841,x17842),f3(f3(a5,x17842),x17843)),x17843)),
% 8.57/8.67 inference(scs_inference,[],[210,1729,1773,23,24,25])).
% 8.57/8.67 cnf(1790,plain,
% 8.57/8.67 (E(f3(f3(a5,a5),f3(a5,f3(a5,a5))),f3(f3(a5,f3(a5,f3(a5,a5))),f3(a5,a5)))),
% 8.57/8.67 inference(scs_inference,[],[210,206,190,1729,265,1773,371,23,24,25,22,21])).
% 8.57/8.67 cnf(1794,plain,
% 8.57/8.67 (E(f3(f3(a1,f3(f3(a1,a2),f3(a1,a1))),x17941),f3(f3(a1,a1),x17941))),
% 8.57/8.67 inference(scs_inference,[],[210,206,190,1729,1161,265,1773,371,23,24,25,22,21,4])).
% 8.57/8.67 cnf(1796,plain,
% 8.57/8.67 (E(f3(x17961,f3(f3(a5,a1),a2)),f3(x17961,f3(f3(a5,f3(a1,a2)),f3(x17962,x17962))))),
% 8.57/8.67 inference(scs_inference,[],[210,206,190,1729,1666,1161,265,1773,371,23,24,25,22,21,4,5,2])).
% 8.57/8.67 cnf(1797,plain,
% 8.57/8.67 (~E(f3(f3(x17971,x17972),f3(f3(a5,a2),x17972)),f3(f3(a5,a1),f3(f3(a1,a2),a1)))),
% 8.57/8.67 inference(scs_inference,[],[210,206,190,1729,1759,1666,1161,265,1773,371,23,24,25,22,21,4,5,2,6])).
% 8.57/8.67 cnf(1800,plain,
% 8.57/8.67 (P1(f3(x18001,f3(a5,a1)),f3(f3(a1,a2),a2))),
% 8.57/8.67 inference(scs_inference,[],[200,210,206,204,190,1729,1759,1666,1161,265,1773,371,23,24,25,22,21,4,5,2,6,7])).
% 8.57/8.67 cnf(1802,plain,
% 8.57/8.67 (E(f3(f3(f3(x18021,x18021),a2),f3(a1,a2)),f3(a2,a1))),
% 8.57/8.67 inference(scs_inference,[],[200,210,193,206,204,190,1729,1759,1666,1345,1161,265,1773,371,23,24,25,22,21,4,5,2,6,7,3])).
% 8.57/8.67 cnf(1807,plain,
% 8.57/8.67 (~E(f3(x18071,f3(a5,f3(a5,a5))),f3(a5,a4))),
% 8.57/8.67 inference(rename_variables,[],[1769])).
% 8.57/8.67 cnf(1808,plain,
% 8.57/8.67 (~P1(f3(a5,a4),f3(a5,a5))),
% 8.57/8.67 inference(scs_inference,[],[1769,1721,59,23])).
% 8.57/8.67 cnf(1810,plain,
% 8.57/8.67 (P1(f3(f3(x18101,f3(a5,a1)),x18102),f3(f3(f3(a1,a2),a2),x18102))),
% 8.57/8.67 inference(scs_inference,[],[1800,1769,1721,59,23,24])).
% 8.57/8.67 cnf(1815,plain,
% 8.57/8.67 (P1(f3(a1,f3(x18151,a2)),f3(f3(a1,x18151),a2))),
% 8.57/8.67 inference(rename_variables,[],[190])).
% 8.57/8.67 cnf(1822,plain,
% 8.57/8.67 (~E(f3(a1,a2),f3(a5,f3(a1,a2)))),
% 8.57/8.67 inference(scs_inference,[],[190,210,1800,1769,1683,1775,320,1721,389,59,23,24,25,22,21,4])).
% 8.57/8.67 cnf(1825,plain,
% 8.57/8.67 (~E(f3(f3(a5,a1),f3(f3(a1,a2),a1)),f3(f3(x18251,x18252),f3(f3(a5,a2),x18252)))),
% 8.57/8.67 inference(scs_inference,[],[190,210,1800,1769,1807,1797,1683,1775,320,1721,389,59,23,24,25,22,21,4,5,2])).
% 8.57/8.67 cnf(1826,plain,
% 8.57/8.67 (P1(f3(f3(a5,f3(a5,f3(a5,a5))),f3(f3(a1,a2),x18261)),x18261)),
% 8.57/8.67 inference(scs_inference,[],[190,210,1800,1769,1807,1632,1797,1683,1775,1110,320,1721,389,59,23,24,25,22,21,4,5,2,6])).
% 8.57/8.67 cnf(1832,plain,
% 8.57/8.67 (~E(f3(f3(a1,a2),a1),f3(a5,a1))),
% 8.57/8.67 inference(scs_inference,[],[190,1815,212,210,1800,1769,1807,1632,1797,1683,1775,1794,1110,320,1721,1518,389,59,23,24,25,22,21,4,5,2,6,7,3])).
% 8.57/8.67 cnf(1842,plain,
% 8.57/8.67 (P1(f3(a1,f3(x18421,a2)),f3(f3(a1,x18421),a2))),
% 8.57/8.67 inference(rename_variables,[],[190])).
% 8.57/8.67 cnf(1844,plain,
% 8.57/8.67 (~P1(f3(a5,a1),f3(f3(a1,a2),a1))),
% 8.57/8.67 inference(scs_inference,[],[190,1810,1832,1454,1522,37,23,25,22,21])).
% 8.57/8.67 cnf(1847,plain,
% 8.57/8.67 (E(f3(f3(f3(a1,a1),f3(a2,a1)),x18471),f3(f3(f3(a1,a2),a1),x18471))),
% 8.57/8.67 inference(scs_inference,[],[190,212,1810,1832,1454,1522,37,23,25,22,21,4])).
% 8.57/8.67 cnf(1848,plain,
% 8.57/8.67 (E(f3(x18481,f3(f3(a1,a1),f3(a2,a1))),f3(x18481,f3(f3(a1,a2),a1)))),
% 8.57/8.67 inference(scs_inference,[],[190,212,1810,1832,1454,1522,37,23,25,22,21,4,5])).
% 8.57/8.67 cnf(1849,plain,
% 8.57/8.67 (E(f3(f3(a1,a2),a1),f3(f3(a1,a1),f3(a2,a1)))),
% 8.57/8.67 inference(scs_inference,[],[190,212,1810,1832,1454,1522,37,23,25,22,21,4,5,2])).
% 8.57/8.67 cnf(1853,plain,
% 8.57/8.67 (~P1(f3(a5,a4),f3(f3(a5,f3(a5,f3(a5,a5))),a2))),
% 8.57/8.67 inference(scs_inference,[],[190,1842,212,1810,1808,1832,1454,1796,1522,959,37,23,25,22,21,4,5,2,6,7])).
% 8.57/8.67 cnf(1857,plain,
% 8.57/8.67 (~P1(a5,a4)),
% 8.57/8.67 inference(scs_inference,[],[1808,23])).
% 8.57/8.67 cnf(1861,plain,
% 8.57/8.67 (P1(f3(f3(x18611,f3(a5,f3(a5,a5))),f3(f3(a1,a2),x18612)),x18612)),
% 8.57/8.67 inference(scs_inference,[],[210,1844,1826,1808,23,25,22])).
% 8.57/8.67 cnf(1862,plain,
% 8.57/8.67 (P1(f3(f3(x18621,x18622),x18623),f3(f3(a5,x18622),x18623))),
% 8.57/8.67 inference(rename_variables,[],[210])).
% 8.57/8.67 cnf(1868,plain,
% 8.57/8.67 (~E(f3(f3(a1,a2),a1),f3(f3(a5,a2),a1))),
% 8.57/8.67 inference(scs_inference,[],[210,1844,1826,1825,1333,1808,587,23,25,22,21,5])).
% 8.57/8.67 cnf(1871,plain,
% 8.57/8.67 (~E(f3(x18711,f3(a5,f3(f3(a1,a2),a1))),f3(a5,a1))),
% 8.57/8.67 inference(scs_inference,[],[210,204,1844,1822,1826,1825,1333,1808,587,23,25,22,21,5,2,6])).
% 8.57/8.67 cnf(1873,plain,
% 8.57/8.67 (P1(f3(f3(x18731,a5),f3(a1,a2)),f3(a2,a1))),
% 8.57/8.67 inference(scs_inference,[],[193,210,1862,204,1844,1822,1826,1825,1333,1808,587,23,25,22,21,5,2,6,7])).
% 8.57/8.67 cnf(1881,plain,
% 8.57/8.67 (~E(f3(a1,a2),f3(a5,a2))),
% 8.57/8.67 inference(scs_inference,[],[193,201,210,1862,204,196,1844,1822,1826,1825,1848,1333,1808,587,23,25,22,21,5,2,6,7,3,19,4])).
% 8.57/8.67 cnf(1887,plain,
% 8.57/8.67 (~P1(f3(a5,f3(a1,a2)),f3(a5,f3(a5,f3(a5,a5))))),
% 8.57/8.67 inference(scs_inference,[],[201,1861,1719,1407,23,25,22])).
% 8.57/8.67 cnf(1888,plain,
% 8.57/8.67 (P1(f3(x18881,a1),f3(a5,f3(a1,a2)))),
% 8.57/8.67 inference(rename_variables,[],[201])).
% 8.57/8.67 cnf(1890,plain,
% 8.57/8.67 (E(f3(f3(x18901,a5),f3(a1,a2)),f3(a2,a1))),
% 8.57/8.67 inference(scs_inference,[],[201,1861,1719,1873,1407,72,23,25,22,21])).
% 8.57/8.67 cnf(1893,plain,
% 8.57/8.67 (E(f3(f3(f3(a1,a2),a1),x18931),f3(f3(f3(a1,a1),f3(a2,a1)),x18931))),
% 8.57/8.67 inference(scs_inference,[],[201,1861,1719,1849,1873,1407,72,23,25,22,21,4])).
% 8.57/8.67 cnf(1898,plain,
% 8.57/8.67 (~E(f3(a5,f3(a1,a2)),f3(a5,f3(a5,f3(a5,a5))))),
% 8.57/8.67 inference(scs_inference,[],[216,201,1888,206,1861,1719,1849,1873,1407,72,23,25,22,21,4,5,2,6,7])).
% 8.57/8.67 cnf(1900,plain,
% 8.57/8.67 (~E(f3(f3(a1,a2),a2),f3(a5,a2))),
% 8.57/8.67 inference(scs_inference,[],[216,201,1888,206,196,1881,1861,1719,1849,1873,1407,72,23,25,22,21,4,5,2,6,7,3])).
% 8.57/8.67 cnf(1908,plain,
% 8.57/8.67 (~P1(f3(a5,a2),f3(f3(a1,a2),a2))),
% 8.57/8.67 inference(scs_inference,[],[210,1900,1887,1853,37,25,22,21])).
% 8.57/8.67 cnf(1912,plain,
% 8.57/8.67 (~E(f3(a1,a2),f3(a5,f3(a5,a5)))),
% 8.57/8.67 inference(scs_inference,[],[210,1900,1887,1898,1853,1881,37,25,22,21,4,5])).
% 8.57/8.67 cnf(1916,plain,
% 8.57/8.67 (P1(f3(f3(x19161,x19162),f3(x19163,x19162)),f3(a5,x19162))),
% 8.57/8.67 inference(rename_variables,[],[219])).
% 8.57/8.67 cnf(1917,plain,
% 8.57/8.67 (~P1(f3(a5,f3(a1,a2)),f3(f3(f3(a1,a2),a1),f3(x19171,f3(x19171,a2))))),
% 8.57/8.67 inference(scs_inference,[],[219,210,1900,1887,1898,1853,1893,1553,1881,37,25,22,21,4,5,2,6,7])).
% 8.57/8.67 cnf(1920,plain,
% 8.57/8.67 (P1(f3(f3(f3(x19201,x19202),f3(x19203,x19202)),x19204),f3(f3(a5,x19202),x19204))),
% 8.57/8.67 inference(scs_inference,[],[219,1916,210,1900,1887,1898,1853,1893,1553,1186,1881,37,25,22,21,4,5,2,6,7,3,24])).
% 8.57/8.67 cnf(1927,plain,
% 8.57/8.67 (P1(f3(f3(x19271,x19272),f3(a5,x19272)),f3(x19273,x19272))),
% 8.57/8.67 inference(scs_inference,[],[219,23,25])).
% 8.57/8.67 cnf(1929,plain,
% 8.57/8.67 (P1(f3(f3(x19291,f3(a1,a2)),f3(x19292,f3(a1,a2))),f3(a5,a1))),
% 8.57/8.67 inference(scs_inference,[],[219,197,23,25,22])).
% 8.57/8.67 cnf(1937,plain,
% 8.57/8.67 (E(f3(f3(f3(f3(x19371,x19371),a2),f3(a1,a2)),x19372),f3(f3(a2,a1),x19372))),
% 8.57/8.67 inference(scs_inference,[],[219,197,1802,385,378,23,25,22,21,4])).
% 8.57/8.67 cnf(1940,plain,
% 8.57/8.67 (~E(f3(x19401,f3(a5,f3(f3(a1,a2),a2))),f3(a5,a2))),
% 8.57/8.67 inference(scs_inference,[],[219,197,204,1908,1790,1802,385,378,23,25,22,21,4,5,2,6])).
% 8.57/8.67 cnf(1951,plain,
% 8.57/8.67 (~P1(f3(a5,a1),f3(f3(f3(a1,a2),a1),f3(x19511,f3(x19511,a2))))),
% 8.57/8.67 inference(scs_inference,[],[197,1917,25,22])).
% 8.57/8.67 cnf(1952,plain,
% 8.57/8.67 (P1(f3(x19521,f3(a1,a2)),f3(a5,a1))),
% 8.57/8.67 inference(rename_variables,[],[197])).
% 8.57/8.67 cnf(1954,plain,
% 8.57/8.67 (E(f3(f3(a5,f3(a1,a2)),f3(f3(a1,a2),f3(a1,a2))),f3(a5,a1))),
% 8.57/8.67 inference(scs_inference,[],[197,1929,1917,1036,25,22,21])).
% 8.57/8.67 cnf(1965,plain,
% 8.57/8.67 (~E(f3(f3(a1,f3(a1,a2)),f3(a2,f3(a1,a2))),f3(a5,a4))),
% 8.57/8.67 inference(scs_inference,[],[197,1952,216,1929,1912,1374,1871,1917,1384,1036,1769,25,22,21,5,2,6,7,3])).
% 8.57/8.67 cnf(1974,plain,
% 8.57/8.67 (~P1(f3(a5,a4),f3(f3(a1,f3(a1,a2)),f3(a2,f3(a1,a2))))),
% 8.57/8.67 inference(scs_inference,[],[223,1965,1781,980,25,22,21])).
% 8.57/8.67 cnf(1977,plain,
% 8.57/8.67 (E(f3(x19771,f3(f3(x19772,a5),f3(a1,a2))),f3(x19771,f3(a2,a1)))),
% 8.57/8.67 inference(scs_inference,[],[223,1965,1781,1890,980,25,22,21,5])).
% 8.57/8.67 cnf(1978,plain,
% 8.57/8.67 (E(f3(a5,a1),f3(f3(a5,f3(a1,a2)),f3(f3(a1,a2),f3(a1,a2))))),
% 8.57/8.67 inference(scs_inference,[],[223,1954,1965,1781,1890,980,25,22,21,5,2])).
% 8.57/8.67 cnf(1987,plain,
% 8.57/8.67 (P1(f3(x19871,a1),f3(a5,f3(a1,a2)))),
% 8.57/8.67 inference(rename_variables,[],[201])).
% 8.57/8.67 cnf(1996,plain,
% 8.57/8.67 (~E(f3(f3(a5,a2),a1),f3(f3(a1,a2),a1))),
% 8.57/8.67 inference(scs_inference,[],[219,201,1987,1868,1974,1940,1536,25,22,21,5,2])).
% 8.57/8.67 cnf(1997,plain,
% 8.57/8.67 (~E(f3(f3(a1,f3(a1,a2)),f3(a5,f3(a1,a2))),f3(a5,a4))),
% 8.57/8.67 inference(scs_inference,[],[219,201,1987,206,1868,1974,1940,1536,25,22,21,5,2,6])).
% 8.57/8.67 cnf(2006,plain,
% 8.57/8.67 (E(f3(f3(x20061,x20061),x20062),f3(f3(f3(x20063,x20063),a5),x20062))),
% 8.57/8.67 inference(scs_inference,[],[225,223,219,208,201,1987,210,206,1868,1974,1188,1940,809,1536,25,22,21,5,2,6,7,3,24,4])).
% 8.57/8.67 cnf(2010,plain,
% 8.57/8.67 (P1(f3(f3(f3(a1,a2),x20101),f3(f3(a1,a2),x20102)),x20102)),
% 8.57/8.67 inference(scs_inference,[],[1465,25])).
% 8.57/8.67 cnf(2016,plain,
% 8.57/8.67 (~P1(f3(f3(a5,a1),f3(a5,f3(a5,a4))),f3(f3(f3(a1,a1),f3(a2,a1)),f3(a5,f3(a5,a4))))),
% 8.57/8.67 inference(scs_inference,[],[219,1465,1511,1920,1348,25,22,21])).
% 8.57/8.67 cnf(2018,plain,
% 8.57/8.67 (~E(f3(f3(f3(a1,a1),f3(a2,a1)),x20181),f3(f3(a5,a1),f3(a5,f3(a5,a4))))),
% 8.57/8.67 inference(rename_variables,[],[1511])).
% 8.57/8.67 cnf(2025,plain,
% 8.57/8.67 (P1(f3(f3(x20251,x20252),x20251),f3(f3(x20253,a5),x20254))),
% 8.57/8.67 inference(scs_inference,[],[225,223,219,210,1996,1465,1511,1937,1920,1185,1348,695,25,22,21,4,5,2,6,7])).
% 8.57/8.67 cnf(2026,plain,
% 8.57/8.67 (~E(f3(f3(f3(a1,a2),a1),x20261),f3(f3(a5,a1),f3(a5,f3(a5,a4))))),
% 8.57/8.67 inference(scs_inference,[],[225,223,219,210,1996,1465,1847,1511,2018,1937,1920,1185,1348,695,25,22,21,4,5,2,6,7,3])).
% 8.57/8.67 cnf(2036,plain,
% 8.57/8.67 (~P1(f3(a5,a1),a2)),
% 8.57/8.67 inference(scs_inference,[],[204,1751,1857,1951,12,25,22,21])).
% 8.57/8.67 cnf(2039,plain,
% 8.57/8.67 (E(f3(f3(x20391,x20391),x20392),f3(f3(a2,x20393),x20392))),
% 8.57/8.67 inference(scs_inference,[],[204,1751,1857,1951,734,12,25,22,21,4])).
% 8.57/8.67 cnf(2040,plain,
% 8.57/8.67 (~E(f3(f3(a5,a1),f3(a5,f3(a5,a4))),f3(f3(f3(a1,a2),a1),x20401))),
% 8.57/8.67 inference(scs_inference,[],[204,2026,1751,1857,1951,734,12,25,22,21,4,2])).
% 8.57/8.67 cnf(2041,plain,
% 8.57/8.67 (~P1(f3(f3(f3(a5,a1),f3(a5,f3(a5,a4))),f3(f3(x20411,a5),f3(a1,a2))),f3(a2,a1))),
% 8.57/8.67 inference(scs_inference,[],[204,2026,1751,1857,1951,1977,734,1686,12,25,22,21,4,2,6])).
% 8.57/8.67 cnf(2050,plain,
% 8.57/8.67 (P1(f3(f3(f3(f3(a1,a2),x20501),f3(x20502,x20502)),f3(a5,f3(a5,a5))),f3(f3(a1,a2),a5))),
% 8.57/8.67 inference(scs_inference,[],[1513,25])).
% 8.57/8.67 cnf(2054,plain,
% 8.57/8.67 (P1(f3(x20541,f3(a5,x20542)),f3(x20541,f3(x20543,x20542)))),
% 8.57/8.67 inference(rename_variables,[],[206])).
% 8.57/8.67 cnf(2060,plain,
% 8.57/8.67 (~E(f3(a5,a1),f3(f3(a1,a2),a1))),
% 8.57/8.67 inference(scs_inference,[],[223,206,2040,1513,1784,2025,25,22,21,4])).
% 8.57/8.67 cnf(2070,plain,
% 8.57/8.67 (~E(f3(a5,a4),f3(a5,a5))),
% 8.57/8.67 inference(scs_inference,[],[212,225,223,206,2054,204,2040,1513,1754,1784,1623,1346,2025,25,22,21,4,2,6,7,3,5])).
% 8.57/8.67 cnf(2074,plain,
% 8.57/8.67 (~P1(f3(a5,a4),f3(f3(f3(a1,a1),f3(a2,a1)),f3(a5,f3(a5,a4))))),
% 8.57/8.67 inference(scs_inference,[],[204,2016,2041,25,22])).
% 8.57/8.67 cnf(2075,plain,
% 8.57/8.67 (P1(f3(x20751,f3(a5,x20752)),x20752)),
% 8.57/8.67 inference(rename_variables,[],[204])).
% 8.57/8.67 cnf(2077,plain,
% 8.57/8.67 (~P1(f3(f3(a5,a1),f3(a5,f3(a5,a4))),f3(f3(f3(a1,a2),a1),f3(a5,f3(a5,a4))))),
% 8.57/8.67 inference(scs_inference,[],[204,210,2016,2041,2026,25,22,21])).
% 8.57/8.67 cnf(2082,plain,
% 8.57/8.67 (E(f3(x20821,f3(f3(x20822,x20822),x20823)),f3(x20821,f3(f3(a2,x20824),x20823)))),
% 8.57/8.67 inference(scs_inference,[],[204,210,2016,2041,2039,2026,25,22,21,4,5])).
% 8.57/8.67 cnf(2089,plain,
% 8.57/8.67 (~E(f3(f3(a5,f3(a1,a2)),f3(f3(a1,a2),f3(a1,a2))),f3(f3(a1,a2),a1))),
% 8.57/8.67 inference(scs_inference,[],[204,2075,226,223,210,2070,1978,2060,2016,2041,2039,2026,25,22,21,4,5,2,6,7,3])).
% 8.57/8.67 cnf(2099,plain,
% 8.57/8.67 (~P1(f3(a5,a1),f3(x20991,f3(a5,a2)))),
% 8.57/8.67 inference(scs_inference,[],[204,227,2036,25,22])).
% 8.57/8.67 cnf(2102,plain,
% 8.57/8.67 (~P1(f3(f3(a5,f3(a1,a2)),f3(f3(a1,a2),f3(a1,a2))),f3(f3(a1,a2),a1))),
% 8.57/8.67 inference(scs_inference,[],[204,227,2089,2036,141,25,22,21])).
% 8.57/8.67 cnf(2118,plain,
% 8.57/8.67 (~P1(f3(a5,a1),f3(x21181,f3(a5,a2)))),
% 8.57/8.67 inference(rename_variables,[],[2099])).
% 8.57/8.67 cnf(2132,plain,
% 8.57/8.67 (~E(f3(x21321,f3(a5,a2)),f3(a5,a1))),
% 8.57/8.67 inference(scs_inference,[],[206,231,227,219,2099,2118,1997,2050,43,19,23,25,22,21,4,5,2,6])).
% 8.57/8.67 cnf(2134,plain,
% 8.57/8.67 (P1(f3(x21341,f3(a5,x21342)),f3(x21341,f3(x21343,x21342)))),
% 8.57/8.67 inference(rename_variables,[],[206])).
% 8.57/8.67 cnf(2141,plain,
% 8.57/8.67 (E(f3(f3(a1,a2),f3(f3(a1,a2),a1)),f3(a1,a2))),
% 8.57/8.67 inference(scs_inference,[],[206,2134,231,226,227,208,219,2099,2118,1997,2050,43,19,23,25,22,21,4,5,2,6,7,3,873,859])).
% 8.57/8.67 cnf(2146,plain,
% 8.57/8.67 (P1(f3(f3(f3(x21461,f3(a5,x21462)),f3(x21463,f3(a5,x21462))),x21462),x21464)),
% 8.57/8.67 inference(scs_inference,[],[2010,1634,23,25])).
% 8.57/8.67 cnf(2148,plain,
% 8.57/8.67 (~P1(f3(f3(a5,a1),f3(x21481,f3(a5,a4))),f3(f3(f3(a1,a2),a1),f3(a5,f3(a5,a4))))),
% 8.57/8.67 inference(scs_inference,[],[206,2077,2010,1634,23,25,22])).
% 8.57/8.67 cnf(2149,plain,
% 8.57/8.67 (P1(f3(x21491,f3(a5,x21492)),f3(x21491,f3(x21493,x21492)))),
% 8.57/8.67 inference(rename_variables,[],[206])).
% 8.57/8.67 cnf(2151,plain,
% 8.57/8.67 (~P1(f3(a5,a2),f3(x21511,f3(x21511,f3(a5,f3(a5,a1)))))),
% 8.57/8.67 inference(scs_inference,[],[206,2077,2010,1634,735,1579,23,25,22,21])).
% 8.57/8.67 cnf(2156,plain,
% 8.57/8.67 (E(f3(a1,a2),f3(f3(a1,a2),f3(f3(a1,a2),a1)))),
% 8.57/8.67 inference(scs_inference,[],[206,2077,2010,2141,1634,735,2070,1579,23,25,22,21,5,2])).
% 8.57/8.67 cnf(2162,plain,
% 8.57/8.67 (~E(f3(f3(x21621,x21622),x21621),f3(a5,a2))),
% 8.57/8.67 inference(scs_inference,[],[206,2149,226,231,219,2077,2010,2141,1588,1634,735,2070,1579,23,25,22,21,5,2,6,7,3])).
% 8.57/8.67 cnf(2165,plain,
% 8.57/8.67 (~P1(f3(a5,f3(a5,f3(a5,a1))),a2)),
% 8.57/8.67 inference(scs_inference,[],[2151,23])).
% 8.57/8.67 cnf(2168,plain,
% 8.57/8.67 (~P1(f3(f3(a5,f3(a1,a2)),f3(f3(a1,a2),a1)),f3(f3(a1,a2),f3(a1,a2)))),
% 8.57/8.67 inference(scs_inference,[],[2151,2102,23,25])).
% 8.57/8.67 cnf(2170,plain,
% 8.57/8.67 (~P1(f3(a5,a4),f3(f3(f3(x21701,f3(a5,x21702)),f3(x21703,f3(a5,x21702))),x21702))),
% 8.57/8.67 inference(scs_inference,[],[2151,2102,2074,2146,23,25,22])).
% 8.57/8.67 cnf(2174,plain,
% 8.57/8.67 (~E(f3(f3(x21741,x21742),x21741),f3(a5,a2))),
% 8.57/8.67 inference(rename_variables,[],[2162])).
% 8.57/8.67 cnf(2179,plain,
% 8.57/8.67 (~E(f3(a5,a2),f3(f3(x21791,x21792),x21791))),
% 8.57/8.67 inference(scs_inference,[],[232,219,2151,2162,2174,2102,2074,2146,23,25,22,21,4,5,2])).
% 8.57/8.67 cnf(2181,plain,
% 8.57/8.67 (E(f3(a2,x21811),f3(f3(x21812,x21813),x21812))),
% 8.57/8.67 inference(rename_variables,[],[232])).
% 8.57/8.67 cnf(2189,plain,
% 8.57/8.67 (P1(f3(f3(x21891,x21892),x21893),f3(f3(x21891,f3(x21894,f3(a5,x21892))),x21893))),
% 8.57/8.67 inference(scs_inference,[],[232,2181,227,219,2151,2162,2174,2102,2074,2146,1650,922,23,25,22,21,4,5,2,6,7,3,20,24])).
% 8.57/8.67 cnf(2211,plain,
% 8.57/8.67 (P1(f3(f3(x22111,f3(a5,f3(a1,a1))),f3(a2,a1)),f3(f3(a1,a2),a1))),
% 8.57/8.67 inference(scs_inference,[],[232,212,210,2179,2148,2189,2170,1741,1727,1776,1927,956,24,23,25,22,21,4,2,6,7])).
% 8.57/8.67 cnf(2238,plain,
% 8.57/8.67 (P1(x22381,f3(a5,f3(a5,a5)))),
% 8.57/8.67 inference(scs_inference,[],[210,233,227,232,2132,2156,2168,1491,2006,1662,2099,12,19,24,25,22,21,4,2,7,6,3,20])).
% 8.57/8.67 cnf(2240,plain,
% 8.57/8.67 (~P1(f3(a5,a2),f3(f3(a1,a2),x22401))),
% 8.57/8.67 inference(scs_inference,[],[210,233,227,232,2132,2156,2168,1491,2006,1662,2099,12,19,24,25,22,21,4,2,7,6,3,20,23])).
% 8.57/8.67 cnf(2248,plain,
% 8.57/8.67 (P1(f3(x22481,f3(a5,f3(a5,a5))),x22482)),
% 8.57/8.67 inference(scs_inference,[],[239,2240,2238,20,23,25])).
% 8.57/8.67 cnf(2292,plain,
% 8.57/8.67 (~P1(f3(a5,a2),f3(a5,f3(a5,a1)))),
% 8.57/8.67 inference(scs_inference,[],[2165,25])).
% 8.57/8.67 cnf(2312,plain,
% 8.57/8.67 (~P1(f3(a5,a2),f3(f3(f3(x23121,x23122),f3(x23123,x23122)),f3(f3(x23121,x23123),x23122)))),
% 8.57/8.67 inference(scs_inference,[],[245,2292,2211,25,22])).
% 8.57/8.67 cnf(2338,plain,
% 8.57/8.67 (P1(f3(x23381,f3(f3(x23382,x23383),x23384)),f3(x23381,f3(f3(x23382,x23384),f3(x23383,x23384))))),
% 8.57/8.67 inference(rename_variables,[],[247])).
% 8.57/8.67 cnf(2347,plain,
% 8.57/8.67 (P1(f3(x23471,f3(f3(x23472,x23473),x23474)),f3(x23471,f3(f3(x23472,x23474),f3(x23473,x23474))))),
% 8.57/8.67 inference(rename_variables,[],[247])).
% 8.57/8.67 cnf(2351,plain,
% 8.57/8.67 (E(f3(f3(f3(x23511,x23512),f3(f3(x23511,x23513),x23512)),f3(x23513,x23512)),f3(f3(x23514,x23515),x23514))),
% 8.57/8.67 inference(scs_inference,[],[223,249,247,2338,2347,245,231,2312,2248,2082,23,25,22,21,2,6,7,3])).
% 8.57/8.67 cnf(2371,plain,
% 8.57/8.67 (~P1(f3(f3(a5,a4),f3(a5,f3(a5,a1))),f3(f3(a5,a1),f3(a5,f3(a5,a4))))),
% 8.57/8.67 inference(scs_inference,[],[225,277,46,6])).
% 8.57/8.67 cnf(2375,plain,
% 8.57/8.67 (P1(f3(f3(x23751,a5),x23752),f3(x23753,x23752))),
% 8.57/8.67 inference(rename_variables,[],[251])).
% 8.57/8.67 cnf(2382,plain,
% 8.57/8.67 ($false),
% 8.57/8.67 inference(scs_inference,[],[225,251,2375,2351,2371,1395,277,25,22,21,2,6]),
% 8.57/8.67 ['proof']).
% 8.57/8.67 % SZS output end Proof
% 8.57/8.67 % Total time :8.010000s
%------------------------------------------------------------------------------