TSTP Solution File: GRP012-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP012-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n028.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 00:10:33 EDT 2023
% Result : Unsatisfiable 1.57s 1.63s
% Output : CNFRefutation 1.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.15 % Problem : GRP012-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.16 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.17/0.35 % Computer : n028.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Tue Aug 29 00:51:40 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.22/0.58 start to proof:theBenchmark
% 1.57/1.62 %-------------------------------------------
% 1.57/1.62 % File :CSE---1.6
% 1.57/1.62 % Problem :theBenchmark
% 1.57/1.62 % Transform :cnf
% 1.57/1.62 % Format :tptp:raw
% 1.57/1.62 % Command :java -jar mcs_scs.jar %d %s
% 1.57/1.62
% 1.57/1.62 % Result :Theorem 0.990000s
% 1.57/1.62 % Output :CNFRefutation 0.990000s
% 1.57/1.62 %-------------------------------------------
% 1.57/1.63 %--------------------------------------------------------------------------
% 1.57/1.63 % File : GRP012-1 : TPTP v8.1.2. Released v1.0.0.
% 1.57/1.63 % Domain : Group Theory
% 1.57/1.63 % Problem : Inverse of products = Product of inverses
% 1.57/1.63 % Version : [MOW76] axioms.
% 1.57/1.63 % Theorem formulation : Expressed as (X.Y).(Y^-1.X^-1) = id.
% 1.57/1.63 % English : The inverse of products equals the product of the inverse,
% 1.57/1.63 % in opposite order.
% 1.57/1.63
% 1.57/1.63 % Refs : [Wos65] Wos (1965), Unpublished Note
% 1.57/1.63 % : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 1.57/1.63 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 1.57/1.63 % Source : [SPRFN]
% 1.57/1.63 % Names : Problem 9 [Wos65]
% 1.57/1.63 % : wos9 [WM76]
% 1.57/1.63
% 1.57/1.63 % Status : Unsatisfiable
% 1.57/1.63 % Rating : 0.00 v6.0.0, 0.11 v5.5.0, 0.06 v5.4.0, 0.07 v5.3.0, 0.17 v5.2.0, 0.12 v5.1.0, 0.14 v4.1.0, 0.11 v4.0.1, 0.17 v3.7.0, 0.00 v2.0.0
% 1.57/1.63 % Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 6 RR)
% 1.57/1.63 % Number of literals : 19 ( 1 equ; 9 neg)
% 1.57/1.63 % Maximal clause size : 4 ( 1 avg)
% 1.57/1.63 % Maximal term depth : 2 ( 1 avg)
% 1.57/1.63 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 1.57/1.63 % Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% 1.57/1.63 % Number of variables : 22 ( 0 sgn)
% 1.57/1.63 % SPC : CNF_UNS_RFO_SEQ_HRN
% 1.57/1.63
% 1.57/1.63 % Comments :
% 1.57/1.63 %--------------------------------------------------------------------------
% 1.57/1.63 %----Include group theory axioms
% 1.57/1.63 include('Axioms/GRP003-0.ax').
% 1.57/1.63 %--------------------------------------------------------------------------
% 1.57/1.63 cnf(a_multiply_b_is_c,hypothesis,
% 1.57/1.63 product(a,b,c) ).
% 1.57/1.63
% 1.57/1.63 cnf(inverse_b_multiply_inverse_a_is_d,hypothesis,
% 1.57/1.63 product(inverse(b),inverse(a),d) ).
% 1.57/1.63
% 1.57/1.63 cnf(prove_c_multiply_d_is_identity,negated_conjecture,
% 1.57/1.63 ~ product(c,d,identity) ).
% 1.57/1.63
% 1.57/1.63 %--------------------------------------------------------------------------
% 1.57/1.63 %-------------------------------------------
% 1.57/1.63 % Proof found
% 1.57/1.63 % SZS status Theorem for theBenchmark
% 1.57/1.63 % SZS output start Proof
% 1.57/1.63 %ClaNum:20(EqnAxiom:9)
% 1.57/1.63 %VarNum:44(SingletonVarNum:22)
% 1.57/1.63 %MaxLitNum:4
% 1.57/1.63 %MaxfuncDepth:1
% 1.57/1.63 %SharedTerms:10
% 1.57/1.63 %goalClause: 17
% 1.57/1.63 %singleGoalClaCount:1
% 1.57/1.63 [10]P1(a1,a2,a3)
% 1.57/1.63 [17]~P1(a3,a5,a4)
% 1.57/1.63 [15]P1(f6(a2),f6(a1),a5)
% 1.57/1.63 [11]P1(x111,a4,x111)
% 1.57/1.63 [12]P1(a4,x121,x121)
% 1.57/1.63 [13]P1(x131,f6(x131),a4)
% 1.57/1.63 [14]P1(f6(x141),x141,a4)
% 1.57/1.63 [16]P1(x161,x162,f7(x161,x162))
% 1.57/1.63 [18]~P1(x183,x184,x181)+E(x181,x182)+~P1(x183,x184,x182)
% 1.57/1.63 [19]~P1(x196,x194,x191)+P1(x191,x192,x193)+~P1(x194,x192,x195)+~P1(x196,x195,x193)
% 1.57/1.63 [20]~P1(x201,x206,x204)+P1(x201,x202,x203)+~P1(x204,x205,x203)+~P1(x206,x205,x202)
% 1.57/1.63 %EqnAxiom
% 1.57/1.63 [1]E(x11,x11)
% 1.57/1.63 [2]E(x22,x21)+~E(x21,x22)
% 1.57/1.63 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.57/1.63 [4]~E(x41,x42)+E(f6(x41),f6(x42))
% 1.57/1.63 [5]~E(x51,x52)+E(f7(x51,x53),f7(x52,x53))
% 1.57/1.63 [6]~E(x61,x62)+E(f7(x63,x61),f7(x63,x62))
% 1.57/1.63 [7]P1(x72,x73,x74)+~E(x71,x72)+~P1(x71,x73,x74)
% 1.57/1.63 [8]P1(x83,x82,x84)+~E(x81,x82)+~P1(x83,x81,x84)
% 1.57/1.63 [9]P1(x93,x94,x92)+~E(x91,x92)+~P1(x93,x94,x91)
% 1.57/1.63
% 1.57/1.63 %-------------------------------------------
% 1.60/1.64 cnf(21,plain,
% 1.60/1.64 (~E(f7(a3,a5),a4)),
% 1.60/1.64 inference(scs_inference,[],[17,16,9])).
% 1.60/1.64 cnf(22,plain,
% 1.60/1.64 (P1(x221,x222,f7(x221,x222))),
% 1.60/1.64 inference(rename_variables,[],[16])).
% 1.60/1.64 cnf(23,plain,
% 1.60/1.64 (~E(f6(a3),a5)),
% 1.60/1.64 inference(scs_inference,[],[17,16,13,9,8])).
% 1.60/1.64 cnf(24,plain,
% 1.60/1.64 (P1(x241,f6(x241),a4)),
% 1.60/1.64 inference(rename_variables,[],[13])).
% 1.60/1.64 cnf(25,plain,
% 1.60/1.64 (~E(f6(a5),a3)),
% 1.60/1.64 inference(scs_inference,[],[17,16,13,14,9,8,7])).
% 1.60/1.64 cnf(27,plain,
% 1.60/1.64 (E(x271,f7(x271,a4))),
% 1.60/1.64 inference(scs_inference,[],[17,11,16,22,13,14,9,8,7,18])).
% 1.60/1.64 cnf(28,plain,
% 1.60/1.64 (P1(x281,x282,f7(x281,x282))),
% 1.60/1.64 inference(rename_variables,[],[16])).
% 1.60/1.64 cnf(30,plain,
% 1.60/1.64 (P1(x301,f7(a4,a4),x301)),
% 1.60/1.64 inference(scs_inference,[],[17,11,16,22,28,13,14,9,8,7,18,20])).
% 1.60/1.64 cnf(33,plain,
% 1.60/1.64 (~P1(a4,a5,f6(a3))),
% 1.60/1.64 inference(scs_inference,[],[17,11,16,22,28,13,24,14,9,8,7,18,20,19])).
% 1.60/1.64 cnf(37,plain,
% 1.60/1.64 (~E(a4,f7(a3,a5))),
% 1.60/1.64 inference(scs_inference,[],[17,11,16,22,28,13,24,14,9,8,7,18,20,19,2])).
% 1.60/1.64 cnf(38,plain,
% 1.60/1.64 (E(f7(x381,a3),f7(x381,f7(a3,a4)))),
% 1.60/1.64 inference(scs_inference,[],[17,11,16,22,28,13,24,14,9,8,7,18,20,19,2,6])).
% 1.60/1.64 cnf(39,plain,
% 1.60/1.64 (E(f7(a3,x391),f7(f7(a3,a4),x391))),
% 1.60/1.64 inference(scs_inference,[],[17,11,16,22,28,13,24,14,9,8,7,18,20,19,2,6,5])).
% 1.60/1.64 cnf(40,plain,
% 1.60/1.64 (E(f6(a3),f6(f7(a3,a4)))),
% 1.60/1.64 inference(scs_inference,[],[17,11,16,22,28,13,24,14,9,8,7,18,20,19,2,6,5,4])).
% 1.60/1.64 cnf(41,plain,
% 1.60/1.64 (~E(f7(f7(a3,a4),a5),a4)),
% 1.60/1.64 inference(scs_inference,[],[17,11,16,22,28,13,24,14,9,8,7,18,20,19,2,6,5,4,3])).
% 1.60/1.64 cnf(42,plain,
% 1.60/1.64 (~E(a5,f6(a3))),
% 1.60/1.64 inference(scs_inference,[],[12,33,9])).
% 1.60/1.64 cnf(43,plain,
% 1.60/1.64 (P1(a4,x431,x431)),
% 1.60/1.64 inference(rename_variables,[],[12])).
% 1.60/1.64 cnf(44,plain,
% 1.60/1.64 (~P1(a4,f7(f7(a3,a4),a5),a4)),
% 1.60/1.64 inference(scs_inference,[],[12,43,41,33,9,18])).
% 1.60/1.64 cnf(45,plain,
% 1.60/1.64 (P1(a4,x451,x451)),
% 1.60/1.64 inference(rename_variables,[],[12])).
% 1.60/1.64 cnf(47,plain,
% 1.60/1.64 (~P1(f6(a3),a4,a5)),
% 1.60/1.64 inference(scs_inference,[],[12,43,45,11,41,33,9,18,20])).
% 1.60/1.64 cnf(48,plain,
% 1.60/1.64 (P1(a4,x481,x481)),
% 1.60/1.64 inference(rename_variables,[],[12])).
% 1.60/1.64 cnf(51,plain,
% 1.60/1.64 (~P1(a4,f7(a3,a5),a4)),
% 1.60/1.64 inference(scs_inference,[],[17,12,43,45,48,16,11,41,33,9,18,20,19])).
% 1.60/1.64 cnf(52,plain,
% 1.60/1.64 (P1(a4,x521,x521)),
% 1.60/1.64 inference(rename_variables,[],[12])).
% 1.60/1.64 cnf(55,plain,
% 1.60/1.64 (E(f7(x551,a4),x551)),
% 1.60/1.64 inference(scs_inference,[],[17,12,43,45,48,16,11,27,41,33,9,18,20,19,2])).
% 1.60/1.64 cnf(56,plain,
% 1.60/1.64 (E(a3,f7(f7(a3,a4),a4))),
% 1.60/1.64 inference(scs_inference,[],[17,12,43,45,48,16,11,27,39,41,33,9,18,20,19,2,3])).
% 1.60/1.64 cnf(57,plain,
% 1.60/1.64 (E(x571,f7(x571,a4))),
% 1.60/1.64 inference(rename_variables,[],[27])).
% 1.60/1.64 cnf(59,plain,
% 1.60/1.64 (P1(a4,f7(x591,a4),x591)),
% 1.60/1.64 inference(scs_inference,[],[17,12,43,45,48,52,16,11,27,57,39,41,33,9,18,20,19,2,3,8])).
% 1.60/1.64 cnf(60,plain,
% 1.60/1.64 (E(x601,f7(x601,a4))),
% 1.60/1.64 inference(rename_variables,[],[27])).
% 1.60/1.64 cnf(61,plain,
% 1.60/1.64 (P1(f7(a4,a4),x611,x611)),
% 1.60/1.64 inference(scs_inference,[],[17,12,43,45,48,52,16,11,27,57,60,39,41,33,9,18,20,19,2,3,8,7])).
% 1.60/1.64 cnf(63,plain,
% 1.60/1.64 (~P1(a4,a4,f7(a3,a5))),
% 1.60/1.64 inference(scs_inference,[],[21,12,18])).
% 1.60/1.64 cnf(64,plain,
% 1.60/1.64 (P1(a4,x641,x641)),
% 1.60/1.64 inference(rename_variables,[],[12])).
% 1.60/1.64 cnf(66,plain,
% 1.60/1.64 (~P1(f6(a3),a1,f6(a2))),
% 1.60/1.64 inference(scs_inference,[],[21,15,12,13,47,18,20])).
% 1.60/1.64 cnf(69,plain,
% 1.60/1.64 (P1(a4,f7(x691,a3),f7(x691,f7(a3,a4)))),
% 1.60/1.64 inference(scs_inference,[],[21,15,12,64,13,38,47,18,20,9])).
% 1.60/1.64 cnf(70,plain,
% 1.60/1.64 (P1(a4,x701,x701)),
% 1.60/1.64 inference(rename_variables,[],[12])).
% 1.60/1.64 cnf(71,plain,
% 1.60/1.64 (~P1(f6(f7(a3,a5)),a4,a4)),
% 1.60/1.64 inference(scs_inference,[],[21,15,12,64,70,13,14,38,51,47,18,20,9,19])).
% 1.60/1.64 cnf(72,plain,
% 1.60/1.64 (P1(a4,x721,x721)),
% 1.60/1.64 inference(rename_variables,[],[12])).
% 1.60/1.64 cnf(73,plain,
% 1.60/1.64 (P1(f6(x731),x731,a4)),
% 1.60/1.64 inference(rename_variables,[],[14])).
% 1.60/1.64 cnf(75,plain,
% 1.60/1.64 (~E(f6(f7(a3,a5)),a4)),
% 1.60/1.64 inference(scs_inference,[],[21,15,12,64,70,13,14,73,38,51,47,18,20,9,19,7])).
% 1.60/1.64 cnf(77,plain,
% 1.60/1.64 (~E(a4,f7(f7(a3,a4),a5))),
% 1.60/1.64 inference(scs_inference,[],[21,15,12,64,70,72,13,14,73,38,51,44,47,18,20,9,19,7,8])).
% 1.60/1.64 cnf(79,plain,
% 1.60/1.64 (~E(a3,f6(a5))),
% 1.60/1.64 inference(scs_inference,[],[21,15,12,64,70,72,13,14,73,38,25,51,44,47,18,20,9,19,7,8,2])).
% 1.60/1.64 cnf(80,plain,
% 1.60/1.64 (~E(f7(a3,a5),f7(a4,a4))),
% 1.60/1.64 inference(scs_inference,[],[21,15,12,64,70,72,13,14,73,55,38,25,51,44,47,18,20,9,19,7,8,2,3])).
% 1.60/1.64 cnf(82,plain,
% 1.60/1.64 (E(a3,f7(a1,a2))),
% 1.60/1.64 inference(scs_inference,[],[10,16,18])).
% 1.60/1.64 cnf(83,plain,
% 1.60/1.64 (P1(x831,x832,f7(x831,x832))),
% 1.60/1.64 inference(rename_variables,[],[16])).
% 1.60/1.64 cnf(85,plain,
% 1.60/1.64 (P1(f6(a1),a3,a2)),
% 1.60/1.64 inference(scs_inference,[],[10,12,16,14,18,20])).
% 1.60/1.64 cnf(86,plain,
% 1.60/1.64 (P1(a4,x861,x861)),
% 1.60/1.64 inference(rename_variables,[],[12])).
% 1.60/1.64 cnf(89,plain,
% 1.60/1.64 (P1(a1,a2,f7(f7(a3,a4),a4))),
% 1.60/1.64 inference(scs_inference,[],[10,12,16,14,56,18,20,9])).
% 1.60/1.64 cnf(90,plain,
% 1.60/1.64 (P1(f7(a4,a1),a2,a3)),
% 1.60/1.64 inference(scs_inference,[],[10,12,86,16,83,14,56,18,20,9,19])).
% 1.60/1.64 cnf(94,plain,
% 1.60/1.64 (P1(f7(a1,a4),a2,a3)),
% 1.60/1.64 inference(scs_inference,[],[10,12,86,16,83,14,56,27,18,20,9,19,7])).
% 1.60/1.64 cnf(95,plain,
% 1.60/1.64 (E(x951,f7(x951,a4))),
% 1.60/1.64 inference(rename_variables,[],[27])).
% 1.60/1.64 cnf(96,plain,
% 1.60/1.64 (P1(a1,f7(a2,a4),a3)),
% 1.60/1.64 inference(scs_inference,[],[10,12,86,16,83,14,56,27,95,18,20,9,19,7,8])).
% 1.60/1.64 cnf(98,plain,
% 1.60/1.64 (~E(f7(f7(a3,a4),a5),f7(a4,a4))),
% 1.60/1.64 inference(scs_inference,[],[10,12,86,16,83,14,80,56,39,27,95,18,20,9,19,7,8,3])).
% 1.60/1.64 cnf(100,plain,
% 1.60/1.64 (E(f6(f7(a3,a4)),f6(a3))),
% 1.60/1.64 inference(scs_inference,[],[10,12,86,16,83,14,80,40,56,39,27,95,18,20,9,19,7,8,3,2])).
% 1.60/1.64 cnf(101,plain,
% 1.60/1.64 (~P1(f6(a2),f6(a1),f6(a3))),
% 1.60/1.64 inference(scs_inference,[],[15,42,18])).
% 1.60/1.64 cnf(103,plain,
% 1.60/1.64 (P1(a2,a5,f6(a1))),
% 1.60/1.64 inference(scs_inference,[],[15,13,12,42,18,20])).
% 1.60/1.64 cnf(104,plain,
% 1.60/1.64 (P1(x1041,f6(x1041),a4)),
% 1.60/1.64 inference(rename_variables,[],[13])).
% 1.60/1.64 cnf(107,plain,
% 1.60/1.64 (~P1(f6(a3),a1,f7(f6(a2),a4))),
% 1.60/1.64 inference(scs_inference,[],[15,13,12,42,66,55,18,20,9])).
% 1.60/1.64 cnf(112,plain,
% 1.60/1.64 (P1(x1121,f6(x1121),a4)),
% 1.60/1.64 inference(rename_variables,[],[13])).
% 1.60/1.64 cnf(117,plain,
% 1.60/1.64 (E(a3,f7(f7(a1,a2),a4))),
% 1.60/1.64 inference(scs_inference,[],[11,15,13,104,112,12,61,100,42,66,82,55,27,18,20,9,19,7,8,3])).
% 1.60/1.64 cnf(119,plain,
% 1.60/1.64 (~E(f7(a4,a4),f7(f7(a3,a4),a5))),
% 1.60/1.64 inference(scs_inference,[],[11,15,13,104,112,12,98,61,100,42,66,82,55,27,18,20,9,19,7,8,3,2])).
% 1.60/1.64 cnf(120,plain,
% 1.60/1.64 (E(f7(x1201,a3),f7(x1201,f7(a1,a2)))),
% 1.60/1.64 inference(scs_inference,[],[11,15,13,104,112,12,98,61,100,42,66,82,55,27,18,20,9,19,7,8,3,2,6])).
% 1.60/1.64 cnf(121,plain,
% 1.60/1.64 (E(f7(a3,x1211),f7(f7(a1,a2),x1211))),
% 1.60/1.64 inference(scs_inference,[],[11,15,13,104,112,12,98,61,100,42,66,82,55,27,18,20,9,19,7,8,3,2,6,5])).
% 1.60/1.64 cnf(122,plain,
% 1.60/1.64 (E(f6(a3),f6(f7(a1,a2)))),
% 1.60/1.64 inference(scs_inference,[],[11,15,13,104,112,12,98,61,100,42,66,82,55,27,18,20,9,19,7,8,3,2,6,5,4])).
% 1.60/1.64 cnf(123,plain,
% 1.60/1.64 (~P1(a5,a4,f6(a3))),
% 1.60/1.64 inference(scs_inference,[],[11,23,18])).
% 1.60/1.64 cnf(124,plain,
% 1.60/1.64 (P1(x1241,a4,x1241)),
% 1.60/1.64 inference(rename_variables,[],[11])).
% 1.60/1.64 cnf(126,plain,
% 1.60/1.64 (~P1(f6(a4),f7(a3,a5),a4)),
% 1.60/1.64 inference(scs_inference,[],[11,23,13,12,63,18,20])).
% 1.60/1.64 cnf(127,plain,
% 1.60/1.64 (P1(x1271,f6(x1271),a4)),
% 1.60/1.64 inference(rename_variables,[],[13])).
% 1.60/1.64 cnf(130,plain,
% 1.60/1.64 (P1(f7(x1301,a3),a4,f7(x1301,f7(a1,a2)))),
% 1.60/1.64 inference(scs_inference,[],[11,124,23,13,12,63,120,18,20,9])).
% 1.60/1.64 cnf(131,plain,
% 1.60/1.64 (P1(x1311,a4,x1311)),
% 1.60/1.64 inference(rename_variables,[],[11])).
% 1.60/1.64 cnf(132,plain,
% 1.60/1.64 (~P1(x1321,f6(x1321),f7(a3,a5))),
% 1.60/1.64 inference(scs_inference,[],[11,124,131,23,13,127,12,63,120,18,20,9,19])).
% 1.60/1.64 cnf(135,plain,
% 1.60/1.64 (~P1(f7(f6(a2),a4),f6(a1),f6(a3))),
% 1.60/1.64 inference(scs_inference,[],[11,124,131,23,13,127,12,63,120,101,55,18,20,9,19,7])).
% 1.60/1.64 cnf(136,plain,
% 1.60/1.64 (E(f7(x1361,a4),x1361)),
% 1.60/1.64 inference(rename_variables,[],[55])).
% 1.60/1.64 cnf(139,plain,
% 1.60/1.64 (E(f7(a3,a3),f7(f7(a1,a2),f7(a1,a2)))),
% 1.60/1.64 inference(scs_inference,[],[11,124,131,23,13,127,12,63,120,121,101,55,136,18,20,9,19,7,8,3])).
% 1.60/1.64 cnf(140,plain,
% 1.60/1.64 (E(f7(x1401,a3),f7(x1401,f7(a1,a2)))),
% 1.60/1.64 inference(rename_variables,[],[120])).
% 1.60/1.64 cnf(142,plain,
% 1.60/1.64 (E(f7(x1421,f7(a1,a2)),f7(x1421,a3))),
% 1.60/1.64 inference(scs_inference,[],[11,124,131,23,13,127,12,63,120,140,121,101,55,136,18,20,9,19,7,8,3,2])).
% 1.60/1.64 cnf(143,plain,
% 1.60/1.64 (E(x1431,f7(a4,x1431))),
% 1.60/1.64 inference(scs_inference,[],[12,16,18])).
% 1.60/1.64 cnf(144,plain,
% 1.60/1.64 (P1(x1441,x1442,f7(x1441,x1442))),
% 1.60/1.64 inference(rename_variables,[],[16])).
% 1.60/1.64 cnf(146,plain,
% 1.60/1.64 (~P1(x1461,f7(a3,a5),f6(f6(x1461)))),
% 1.60/1.64 inference(scs_inference,[],[12,16,14,132,18,20])).
% 1.60/1.64 cnf(147,plain,
% 1.60/1.64 (~P1(x1471,f6(x1471),f7(a3,a5))),
% 1.60/1.64 inference(rename_variables,[],[132])).
% 1.60/1.64 cnf(148,plain,
% 1.60/1.64 (P1(a4,x1481,x1481)),
% 1.60/1.64 inference(rename_variables,[],[12])).
% 1.60/1.64 cnf(150,plain,
% 1.60/1.64 (~E(f6(a4),f7(a3,a5))),
% 1.60/1.64 inference(scs_inference,[],[12,148,16,14,132,147,18,20,9])).
% 1.60/1.64 cnf(151,plain,
% 1.60/1.64 (P1(a4,x1511,x1511)),
% 1.60/1.64 inference(rename_variables,[],[12])).
% 1.60/1.64 cnf(152,plain,
% 1.60/1.64 (~P1(x1521,f6(x1521),f7(a3,a5))),
% 1.60/1.64 inference(rename_variables,[],[132])).
% 1.60/1.64 cnf(153,plain,
% 1.60/1.64 (~P1(x1531,f6(f7(x1531,a4)),f7(a3,a5))),
% 1.60/1.64 inference(scs_inference,[],[12,148,151,16,144,14,132,147,152,18,20,9,19])).
% 1.60/1.64 cnf(155,plain,
% 1.60/1.64 (P1(a4,x1551,x1551)),
% 1.60/1.64 inference(rename_variables,[],[12])).
% 1.60/1.64 cnf(158,plain,
% 1.60/1.65 (P1(f7(f6(a2),a4),f6(a1),a5)),
% 1.60/1.65 inference(scs_inference,[],[12,148,151,15,16,144,14,132,147,152,27,18,20,9,19,7])).
% 1.60/1.65 cnf(160,plain,
% 1.60/1.65 (P1(a4,f6(f7(a1,a2)),f6(a3))),
% 1.60/1.65 inference(scs_inference,[],[12,148,151,155,15,16,144,14,132,147,152,122,27,18,20,9,19,7,8])).
% 1.60/1.65 cnf(162,plain,
% 1.60/1.65 (~E(f6(f7(a1,a2)),a5)),
% 1.60/1.65 inference(scs_inference,[],[12,148,151,155,23,15,16,144,14,132,147,152,122,27,18,20,9,19,7,8,3])).
% 1.60/1.65 cnf(164,plain,
% 1.60/1.65 (~P1(a4,f6(a5),a3)),
% 1.60/1.65 inference(scs_inference,[],[12,25,18])).
% 1.60/1.65 cnf(165,plain,
% 1.60/1.65 (P1(a4,x1651,x1651)),
% 1.60/1.65 inference(rename_variables,[],[12])).
% 1.60/1.65 cnf(167,plain,
% 1.60/1.65 (P1(x1671,f6(f7(x1671,a4)),a4)),
% 1.60/1.65 inference(scs_inference,[],[12,165,25,16,13,18,20])).
% 1.60/1.65 cnf(169,plain,
% 1.60/1.65 (P1(a4,x1691,x1691)),
% 1.60/1.65 inference(rename_variables,[],[12])).
% 1.60/1.65 cnf(170,plain,
% 1.60/1.65 (P1(x1701,x1702,f7(x1701,x1702))),
% 1.60/1.65 inference(rename_variables,[],[16])).
% 1.60/1.65 cnf(173,plain,
% 1.60/1.65 (P1(f7(a4,f6(a2)),f6(a1),a5)),
% 1.60/1.65 inference(scs_inference,[],[12,165,169,25,15,16,170,13,123,100,18,20,9,19])).
% 1.60/1.65 cnf(174,plain,
% 1.60/1.65 (P1(a4,x1741,x1741)),
% 1.60/1.65 inference(rename_variables,[],[12])).
% 1.60/1.65 cnf(177,plain,
% 1.60/1.65 (~P1(f7(x1771,a4),f7(a3,a5),f6(f6(x1771)))),
% 1.60/1.65 inference(scs_inference,[],[12,165,169,25,15,16,170,13,146,123,100,55,18,20,9,19,7])).
% 1.60/1.65 cnf(179,plain,
% 1.60/1.65 (P1(a4,f7(a4,x1791),x1791)),
% 1.60/1.65 inference(scs_inference,[],[12,165,169,174,25,15,16,170,13,146,143,123,100,55,18,20,9,19,7,8])).
% 1.60/1.65 cnf(180,plain,
% 1.60/1.65 (E(x1801,f7(a4,x1801))),
% 1.60/1.65 inference(rename_variables,[],[143])).
% 1.60/1.65 cnf(181,plain,
% 1.60/1.65 (E(f7(a1,a2),f7(a4,a3))),
% 1.60/1.65 inference(scs_inference,[],[12,165,169,174,25,15,16,170,13,146,143,180,142,123,100,55,18,20,9,19,7,8,3])).
% 1.60/1.65 cnf(182,plain,
% 1.60/1.65 (E(x1821,f7(a4,x1821))),
% 1.60/1.65 inference(rename_variables,[],[143])).
% 1.60/1.65 cnf(184,plain,
% 1.60/1.65 (E(f7(a4,x1841),x1841)),
% 1.60/1.65 inference(scs_inference,[],[12,165,169,174,25,15,16,170,13,146,143,180,182,142,123,100,55,18,20,9,19,7,8,3,2])).
% 1.60/1.65 cnf(185,plain,
% 1.60/1.65 (~P1(a3,f7(a4,a4),f6(a5))),
% 1.60/1.65 inference(scs_inference,[],[25,30,18])).
% 1.60/1.65 cnf(188,plain,
% 1.60/1.65 (~P1(a4,f6(f7(a3,a5)),a4)),
% 1.60/1.65 inference(scs_inference,[],[13,25,14,30,71,18,20])).
% 1.60/1.65 cnf(189,plain,
% 1.60/1.65 (P1(x1891,f6(x1891),a4)),
% 1.60/1.65 inference(rename_variables,[],[13])).
% 1.60/1.65 cnf(190,plain,
% 1.60/1.65 (P1(f6(x1901),x1901,a4)),
% 1.60/1.65 inference(rename_variables,[],[14])).
% 1.60/1.65 cnf(192,plain,
% 1.60/1.65 (P1(x1921,f6(x1921),f7(a4,a4))),
% 1.60/1.65 inference(scs_inference,[],[13,189,25,14,27,30,71,18,20,9])).
% 1.60/1.65 cnf(193,plain,
% 1.60/1.65 (E(x1931,f7(x1931,a4))),
% 1.60/1.65 inference(rename_variables,[],[27])).
% 1.60/1.65 cnf(194,plain,
% 1.60/1.65 (~P1(f6(x1941),f7(f7(a3,a4),a5),f6(x1941))),
% 1.60/1.65 inference(scs_inference,[],[13,189,25,14,27,30,71,44,18,20,9,19])).
% 1.60/1.65 cnf(198,plain,
% 1.60/1.65 (~E(a5,f6(f7(a3,a4)))),
% 1.60/1.65 inference(scs_inference,[],[13,189,25,14,190,27,16,153,30,126,71,44,18,20,9,19,7,8])).
% 1.60/1.65 cnf(201,plain,
% 1.60/1.65 (E(f7(a4,a3),f7(f7(a1,a2),a4))),
% 1.60/1.65 inference(scs_inference,[],[13,189,25,14,190,27,16,153,184,30,126,71,117,44,18,20,9,19,7,8,3])).
% 1.60/1.65 cnf(203,plain,
% 1.60/1.65 (~E(f7(a3,a5),f6(a4))),
% 1.60/1.65 inference(scs_inference,[],[13,189,25,14,190,27,16,153,184,30,150,126,71,117,44,18,20,9,19,7,8,3,2])).
% 1.60/1.65 cnf(204,plain,
% 1.60/1.65 (E(f7(x2041,x2042),f7(x2041,f7(x2042,a4)))),
% 1.60/1.65 inference(scs_inference,[],[13,189,25,14,190,27,193,16,153,184,30,150,126,71,117,44,18,20,9,19,7,8,3,2,6])).
% 1.60/1.65 cnf(205,plain,
% 1.60/1.65 (E(f7(x2051,x2052),f7(f7(x2051,a4),x2052))),
% 1.60/1.65 inference(scs_inference,[],[13,189,25,14,190,27,193,16,153,184,30,150,126,71,117,44,18,20,9,19,7,8,3,2,6,5])).
% 1.60/1.65 cnf(206,plain,
% 1.60/1.65 (E(f6(x2061),f6(f7(x2061,a4)))),
% 1.60/1.65 inference(scs_inference,[],[13,189,25,14,190,27,193,16,153,184,30,150,126,71,117,44,18,20,9,19,7,8,3,2,6,5,4])).
% 1.60/1.65 cnf(210,plain,
% 1.60/1.65 (~P1(f7(x2101,a4),f6(x2101),f6(f7(a3,a5)))),
% 1.60/1.65 inference(scs_inference,[],[13,16,59,188,18,20])).
% 1.60/1.65 cnf(213,plain,
% 1.60/1.65 (~E(f7(a4,a4),f7(a3,a5))),
% 1.60/1.65 inference(scs_inference,[],[13,16,192,59,188,132,18,20,9])).
% 1.60/1.65 cnf(214,plain,
% 1.60/1.65 (P1(x2141,f6(x2141),f7(a4,a4))),
% 1.60/1.65 inference(rename_variables,[],[192])).
% 1.60/1.65 cnf(220,plain,
% 1.60/1.65 (P1(x2201,f7(f6(x2201),a4),a4)),
% 1.60/1.65 inference(scs_inference,[],[13,14,27,16,192,214,177,59,188,132,18,20,9,19,8])).
% 1.60/1.65 cnf(221,plain,
% 1.60/1.65 (E(x2211,f7(x2211,a4))),
% 1.60/1.65 inference(rename_variables,[],[27])).
% 1.60/1.65 cnf(222,plain,
% 1.60/1.65 (P1(f7(x2221,a4),f6(x2221),a4)),
% 1.60/1.65 inference(scs_inference,[],[13,14,27,221,16,192,214,177,59,188,132,18,20,9,19,8,7])).
% 1.60/1.65 cnf(226,plain,
% 1.60/1.65 (E(f7(x2261,f7(x2262,a4)),f7(x2261,x2262))),
% 1.60/1.65 inference(scs_inference,[],[13,21,14,27,221,16,192,214,204,177,59,188,132,18,20,9,19,8,7,3,2])).
% 1.60/1.65 cnf(227,plain,
% 1.60/1.65 (~P1(f6(x2271),x2271,f7(a3,a5))),
% 1.60/1.65 inference(scs_inference,[],[14,37,18])).
% 1.60/1.65 cnf(229,plain,
% 1.60/1.65 (~P1(f7(a4,a4),f7(a4,a4),f7(f7(a3,a4),a5))),
% 1.60/1.65 inference(scs_inference,[],[14,30,37,194,18,20])).
% 1.60/1.65 cnf(233,plain,
% 1.60/1.65 (~P1(a3,f7(a4,a4),f7(a4,f6(a5)))),
% 1.60/1.65 inference(scs_inference,[],[14,30,37,194,185,184,18,20,9])).
% 1.60/1.65 cnf(235,plain,
% 1.60/1.65 (~P1(f6(a5),f6(f7(a4,a4)),a3)),
% 1.60/1.65 inference(scs_inference,[],[14,30,37,194,185,184,11,18,20,9,19])).
% 1.60/1.65 cnf(239,plain,
% 1.60/1.65 (~P1(f6(x2391),f7(a3,a5),f6(x2391))),
% 1.60/1.65 inference(scs_inference,[],[14,30,37,194,205,185,184,11,18,20,9,19,8])).
% 1.60/1.65 cnf(240,plain,
% 1.60/1.65 (E(f7(x2401,x2402),f7(f7(x2401,a4),x2402))),
% 1.60/1.65 inference(rename_variables,[],[205])).
% 1.60/1.65 cnf(241,plain,
% 1.60/1.65 (~P1(x2411,f6(x2411),f6(f7(a3,a5)))),
% 1.60/1.65 inference(scs_inference,[],[14,30,27,37,194,205,210,185,184,11,18,20,9,19,8,7])).
% 1.60/1.65 cnf(242,plain,
% 1.60/1.65 (E(x2421,f7(x2421,a4))),
% 1.60/1.65 inference(rename_variables,[],[27])).
% 1.60/1.65 cnf(243,plain,
% 1.60/1.65 (E(x2431,f7(f7(x2431,a4),a4))),
% 1.60/1.65 inference(scs_inference,[],[14,30,27,242,37,194,205,240,210,185,184,11,18,20,9,19,8,7,3])).
% 1.60/1.65 cnf(250,plain,
% 1.60/1.65 (P1(f6(a2),a4,f7(a5,a1))),
% 1.60/1.65 inference(scs_inference,[],[14,23,30,15,16,18,20])).
% 1.60/1.65 cnf(251,plain,
% 1.60/1.65 (P1(x2511,x2512,f7(x2511,x2512))),
% 1.60/1.65 inference(rename_variables,[],[16])).
% 1.60/1.65 cnf(252,plain,
% 1.60/1.65 (P1(f6(x2521),x2521,a4)),
% 1.60/1.65 inference(rename_variables,[],[14])).
% 1.60/1.65 cnf(254,plain,
% 1.60/1.65 (P1(f6(x2541),x2541,f7(a4,a4))),
% 1.60/1.65 inference(scs_inference,[],[14,252,23,30,15,16,27,18,20,9])).
% 1.60/1.65 cnf(255,plain,
% 1.60/1.65 (E(x2551,f7(x2551,a4))),
% 1.60/1.65 inference(rename_variables,[],[27])).
% 1.60/1.65 cnf(256,plain,
% 1.60/1.65 (P1(f7(f6(a4),f6(a4)),a4,a4)),
% 1.60/1.65 inference(scs_inference,[],[14,252,23,30,15,16,251,27,18,20,9,19])).
% 1.60/1.65 cnf(261,plain,
% 1.60/1.65 (~P1(f6(f7(x2611,a4)),x2611,f7(a3,a5))),
% 1.60/1.65 inference(scs_inference,[],[14,252,23,30,15,16,251,27,255,227,18,20,9,19,8])).
% 1.60/1.65 cnf(263,plain,
% 1.60/1.65 (~P1(f6(x2631),f7(a3,a5),f6(f7(x2631,a4)))),
% 1.60/1.65 inference(scs_inference,[],[14,252,23,30,15,16,251,27,255,239,227,206,18,20,9,19,8,7])).
% 1.60/1.65 cnf(265,plain,
% 1.60/1.65 (~E(f7(a4,a4),f7(f7(a3,a4),f7(a5,a4)))),
% 1.60/1.65 inference(scs_inference,[],[14,252,23,30,15,16,251,27,255,239,119,227,226,206,18,20,9,19,8,7,3])).
% 1.60/1.65 cnf(267,plain,
% 1.60/1.65 (E(f6(f7(x2671,a4)),f6(x2671))),
% 1.60/1.65 inference(scs_inference,[],[14,252,23,30,15,16,251,27,255,239,119,227,226,206,18,20,9,19,8,7,3,2])).
% 1.60/1.65 cnf(268,plain,
% 1.60/1.65 (E(a5,f7(f6(a2),f6(a1)))),
% 1.60/1.65 inference(scs_inference,[],[15,16,18])).
% 1.60/1.65 cnf(269,plain,
% 1.60/1.65 (P1(x2691,x2692,f7(x2691,x2692))),
% 1.60/1.65 inference(rename_variables,[],[16])).
% 1.60/1.65 cnf(271,plain,
% 1.60/1.65 (~P1(f7(a4,f6(a2)),f6(a1),f6(a3))),
% 1.60/1.65 inference(scs_inference,[],[15,33,16,269,18,20])).
% 1.60/1.65 cnf(272,plain,
% 1.60/1.65 (P1(x2721,x2722,f7(x2721,x2722))),
% 1.60/1.65 inference(rename_variables,[],[16])).
% 1.60/1.65 cnf(274,plain,
% 1.60/1.65 (~E(f7(a4,a5),f6(a3))),
% 1.60/1.65 inference(scs_inference,[],[15,33,16,269,272,18,20,9])).
% 1.60/1.65 cnf(276,plain,
% 1.60/1.65 (P1(a5,a1,f6(a2))),
% 1.60/1.65 inference(scs_inference,[],[15,33,30,16,269,272,254,18,20,9,19])).
% 1.60/1.65 cnf(277,plain,
% 1.60/1.65 (P1(x2771,f7(a4,a4),x2771)),
% 1.60/1.65 inference(rename_variables,[],[30])).
% 1.60/1.65 cnf(280,plain,
% 1.60/1.65 (P1(f7(x2801,a4),f7(a4,a4),x2801)),
% 1.60/1.65 inference(scs_inference,[],[15,33,30,277,16,269,272,27,254,18,20,9,19,7])).
% 1.60/1.65 cnf(282,plain,
% 1.60/1.65 (P1(f6(a2),f7(f6(a1),a4),a5)),
% 1.60/1.65 inference(scs_inference,[],[15,33,30,277,16,269,272,27,254,18,20,9,19,7,8])).
% 1.60/1.65 cnf(283,plain,
% 1.60/1.65 (E(x2831,f7(x2831,a4))),
% 1.60/1.65 inference(rename_variables,[],[27])).
% 1.60/1.65 cnf(284,plain,
% 1.60/1.65 (~E(f7(f6(a3),a4),a5)),
% 1.60/1.65 inference(scs_inference,[],[15,33,23,30,277,16,269,272,27,283,254,18,20,9,19,7,8,3])).
% 1.60/1.65 cnf(287,plain,
% 1.60/1.65 (E(f7(x2871,x2872),f7(x2871,f7(a4,x2872)))),
% 1.60/1.65 inference(scs_inference,[],[15,33,23,30,277,16,269,272,27,283,254,265,143,18,20,9,19,7,8,3,2,6])).
% 1.60/1.65 cnf(288,plain,
% 1.60/1.65 (E(f7(x2881,x2882),f7(f7(a4,x2881),x2882))),
% 1.60/1.65 inference(scs_inference,[],[15,33,23,30,277,16,269,272,27,283,254,265,143,18,20,9,19,7,8,3,2,6,5])).
% 1.60/1.65 cnf(289,plain,
% 1.60/1.65 (E(f6(x2891),f6(f7(a4,x2891)))),
% 1.60/1.65 inference(scs_inference,[],[15,33,23,30,277,16,269,272,27,283,254,265,143,18,20,9,19,7,8,3,2,6,5,4])).
% 1.60/1.65 cnf(290,plain,
% 1.60/1.65 (~P1(f6(a2),f6(a1),f6(f7(a3,a4)))),
% 1.60/1.65 inference(scs_inference,[],[15,198,18])).
% 1.60/1.65 cnf(293,plain,
% 1.60/1.65 (P1(x2931,f7(a4,a4),x2931)),
% 1.60/1.65 inference(rename_variables,[],[30])).
% 1.60/1.65 cnf(302,plain,
% 1.60/1.65 (~P1(f7(a4,a4),a5,f6(a3))),
% 1.60/1.65 inference(scs_inference,[],[15,33,30,293,16,267,179,198,184,18,20,9,19,7])).
% 1.60/1.65 cnf(305,plain,
% 1.60/1.65 (E(x3051,f7(x3051,a4))),
% 1.60/1.65 inference(rename_variables,[],[27])).
% 1.60/1.65 cnf(306,plain,
% 1.60/1.65 (E(x3061,f7(x3061,f7(a4,a4)))),
% 1.60/1.65 inference(scs_inference,[],[15,33,30,293,16,27,305,229,287,267,179,198,184,18,20,9,19,7,8,3])).
% 1.60/1.65 cnf(308,plain,
% 1.60/1.65 (E(f7(x3081,x3082),f7(x3081,f7(a4,x3082)))),
% 1.60/1.65 inference(rename_variables,[],[287])).
% 1.60/1.65 cnf(309,plain,
% 1.60/1.65 (E(f7(x3091,f7(a4,x3092)),f7(x3091,x3092))),
% 1.60/1.65 inference(scs_inference,[],[15,33,30,293,16,27,305,229,287,308,267,179,198,184,18,20,9,19,7,8,3,2])).
% 1.60/1.65 cnf(310,plain,
% 1.60/1.65 (~P1(a4,f7(a4,a4),f7(a3,a5))),
% 1.60/1.65 inference(scs_inference,[],[21,30,18])).
% 1.60/1.65 cnf(311,plain,
% 1.60/1.65 (P1(x3111,f7(a4,a4),x3111)),
% 1.60/1.65 inference(rename_variables,[],[30])).
% 1.60/1.65 cnf(313,plain,
% 1.60/1.65 (~P1(a4,f7(a5,a4),f6(a3))),
% 1.60/1.65 inference(scs_inference,[],[21,30,311,33,280,18,20])).
% 1.60/1.65 cnf(314,plain,
% 1.60/1.65 (P1(x3141,f7(a4,a4),x3141)),
% 1.60/1.65 inference(rename_variables,[],[30])).
% 1.60/1.65 cnf(317,plain,
% 1.60/1.65 (P1(x3171,x3172,f7(f7(x3171,x3172),a4))),
% 1.60/1.65 inference(scs_inference,[],[16,21,30,311,33,27,280,18,20,9])).
% 1.60/1.65 cnf(319,plain,
% 1.60/1.65 (~P1(f7(a3,a5),a4,f6(f7(a4,a4)))),
% 1.60/1.65 inference(scs_inference,[],[16,21,30,311,314,33,27,261,280,18,20,9,19])).
% 1.60/1.65 cnf(320,plain,
% 1.60/1.65 (~P1(f6(f7(x3201,a4)),x3201,f7(a3,a5))),
% 1.60/1.65 inference(rename_variables,[],[261])).
% 1.60/1.65 cnf(321,plain,
% 1.60/1.65 (P1(x3211,x3212,f7(x3211,x3212))),
% 1.60/1.65 inference(rename_variables,[],[16])).
% 1.60/1.65 cnf(324,plain,
% 1.60/1.65 (~E(a3,f6(f7(a5,a4)))),
% 1.60/1.65 inference(scs_inference,[],[16,321,21,30,311,314,33,27,261,320,280,18,20,9,19,7])).
% 1.60/1.65 cnf(332,plain,
% 1.60/1.65 (E(f7(x3321,f7(a4,a4)),x3321)),
% 1.60/1.65 inference(scs_inference,[],[16,30,18])).
% 1.60/1.65 cnf(334,plain,
% 1.60/1.65 (P1(x3341,x3342,f7(x3341,x3342))),
% 1.60/1.65 inference(rename_variables,[],[16])).
% 1.60/1.65 cnf(340,plain,
% 1.60/1.65 (P1(f7(x3401,a4),f6(f7(a4,a4)),f7(x3401,a4))),
% 1.60/1.65 inference(scs_inference,[],[16,334,30,33,317,167,160,256,18,20,9,19])).
% 1.60/1.65 cnf(343,plain,
% 1.60/1.65 (P1(x3431,x3432,f7(x3431,x3432))),
% 1.60/1.65 inference(rename_variables,[],[16])).
% 1.60/1.65 cnf(345,plain,
% 1.60/1.65 (P1(f7(x3451,a4),x3452,f7(x3451,x3452))),
% 1.60/1.65 inference(scs_inference,[],[16,334,343,30,33,27,317,167,160,256,18,20,9,19,7])).
% 1.60/1.65 cnf(346,plain,
% 1.60/1.65 (P1(x3461,x3462,f7(x3461,x3462))),
% 1.60/1.65 inference(rename_variables,[],[16])).
% 1.60/1.65 cnf(347,plain,
% 1.60/1.65 (P1(x3471,f7(x3472,a4),f7(x3471,x3472))),
% 1.60/1.65 inference(scs_inference,[],[16,334,343,346,30,33,27,317,167,160,256,18,20,9,19,7,8])).
% 1.60/1.65 cnf(349,plain,
% 1.60/1.65 (~E(f7(f6(a5),a4),a3)),
% 1.60/1.65 inference(scs_inference,[],[16,334,343,346,25,30,33,27,317,167,160,256,18,20,9,19,7,8,3])).
% 1.60/1.65 cnf(351,plain,
% 1.60/1.65 (E(f7(f7(a4,x3511),x3512),f7(x3511,x3512))),
% 1.60/1.65 inference(scs_inference,[],[16,334,343,346,25,30,33,27,288,317,167,160,256,18,20,9,19,7,8,3,2])).
% 1.60/1.65 cnf(352,plain,
% 1.60/1.65 (~P1(f7(a3,a5),f7(a4,a4),a4)),
% 1.60/1.65 inference(scs_inference,[],[21,30,18])).
% 1.60/1.65 cnf(353,plain,
% 1.60/1.65 (P1(x3531,f7(a4,a4),x3531)),
% 1.60/1.65 inference(rename_variables,[],[30])).
% 1.60/1.65 cnf(357,plain,
% 1.60/1.65 (P1(x3571,f7(a4,a4),x3571)),
% 1.60/1.65 inference(rename_variables,[],[30])).
% 1.60/1.65 cnf(360,plain,
% 1.60/1.65 (E(f7(x3601,f7(a4,a4)),x3601)),
% 1.60/1.65 inference(rename_variables,[],[332])).
% 1.60/1.65 cnf(361,plain,
% 1.60/1.65 (~P1(f7(a4,a4),f6(f7(a3,a4)),f7(a5,a4))),
% 1.60/1.65 inference(scs_inference,[],[21,30,353,357,33,332,347,319,222,153,18,20,9,19])).
% 1.60/1.65 cnf(366,plain,
% 1.60/1.65 (~P1(f7(a4,f7(a4,a4)),a5,f6(a3))),
% 1.60/1.65 inference(scs_inference,[],[21,30,353,357,33,332,360,347,319,222,153,18,20,9,19,7])).
% 1.60/1.65 cnf(367,plain,
% 1.60/1.65 (E(f7(x3671,f7(a4,a4)),x3671)),
% 1.60/1.65 inference(rename_variables,[],[332])).
% 1.60/1.65 cnf(370,plain,
% 1.60/1.65 (E(x3701,f7(f7(x3701,a4),f7(a4,a4)))),
% 1.60/1.65 inference(scs_inference,[],[21,30,353,357,33,27,332,360,367,306,347,319,222,153,18,20,9,19,7,8,3])).
% 1.60/1.65 cnf(372,plain,
% 1.60/1.65 (~E(f6(a3),f7(a4,a5))),
% 1.60/1.65 inference(scs_inference,[],[21,30,353,357,33,27,332,360,367,306,347,274,319,222,153,18,20,9,19,7,8,3,2])).
% 1.60/1.65 cnf(373,plain,
% 1.60/1.65 (E(f7(f7(x3731,a4),x3732),f7(x3731,x3732))),
% 1.60/1.65 inference(scs_inference,[],[21,30,353,357,33,27,332,360,367,306,347,274,319,222,153,55,18,20,9,19,7,8,3,2,5])).
% 1.60/1.65 cnf(374,plain,
% 1.60/1.65 (E(f6(f7(a4,x3741)),f6(x3741))),
% 1.60/1.65 inference(scs_inference,[],[21,30,353,357,33,27,332,360,367,306,347,274,319,222,153,184,55,18,20,9,19,7,8,3,2,5,4])).
% 1.60/1.65 cnf(375,plain,
% 1.60/1.65 (~P1(a4,f7(a4,a4),f7(f7(a3,a4),a5))),
% 1.60/1.65 inference(scs_inference,[],[41,30,18])).
% 1.60/1.65 cnf(376,plain,
% 1.60/1.65 (P1(x3761,f7(a4,a4),x3761)),
% 1.60/1.65 inference(rename_variables,[],[30])).
% 1.60/1.65 cnf(378,plain,
% 1.60/1.65 (~P1(f7(a4,a4),f7(f6(a3),a4),a5)),
% 1.60/1.65 inference(scs_inference,[],[41,30,376,33,59,18,20])).
% 1.60/1.65 cnf(379,plain,
% 1.60/1.65 (P1(x3791,f7(a4,a4),x3791)),
% 1.60/1.65 inference(rename_variables,[],[30])).
% 1.60/1.65 cnf(382,plain,
% 1.60/1.65 (P1(f7(x3821,f7(a4,x3822)),f7(a4,a4),f7(x3821,x3822))),
% 1.60/1.65 inference(scs_inference,[],[41,30,376,379,33,309,59,18,20,9])).
% 1.60/1.65 cnf(383,plain,
% 1.60/1.65 (P1(x3831,f7(a4,a4),x3831)),
% 1.60/1.65 inference(rename_variables,[],[30])).
% 1.60/1.65 cnf(390,plain,
% 1.60/1.65 (~E(f7(a5,a4),f6(f7(a3,a4)))),
% 1.60/1.65 inference(scs_inference,[],[41,30,376,379,383,33,27,309,361,345,59,61,18,20,9,19,7,8])).
% 1.60/1.65 cnf(394,plain,
% 1.60/1.65 (E(f7(f7(x3941,a4),f7(a4,a4)),x3941)),
% 1.60/1.65 inference(scs_inference,[],[37,41,30,376,379,383,33,27,309,370,361,345,59,61,18,20,9,19,7,8,3,2])).
% 1.60/1.65 cnf(395,plain,
% 1.60/1.65 (E(f6(f7(a4,a4)),f7(a4,a4))),
% 1.60/1.65 inference(scs_inference,[],[30,254,18])).
% 1.60/1.65 cnf(397,plain,
% 1.60/1.65 (P1(x3971,f7(a4,a4),x3971)),
% 1.60/1.65 inference(rename_variables,[],[30])).
% 1.60/1.65 cnf(400,plain,
% 1.60/1.65 (P1(x4001,f7(a4,a4),x4001)),
% 1.60/1.65 inference(rename_variables,[],[30])).
% 1.60/1.65 cnf(401,plain,
% 1.60/1.65 (P1(f7(x4011,f7(a4,x4012)),f7(a4,a4),f7(x4011,x4012))),
% 1.60/1.65 inference(rename_variables,[],[382])).
% 1.60/1.65 cnf(403,plain,
% 1.60/1.65 (~E(f7(a4,a4),f6(f7(a3,a5)))),
% 1.60/1.65 inference(scs_inference,[],[30,397,310,241,382,340,254,18,20,9])).
% 1.60/1.65 cnf(407,plain,
% 1.60/1.65 (P1(x4071,f7(a4,a4),x4071)),
% 1.60/1.65 inference(rename_variables,[],[30])).
% 1.60/1.65 cnf(410,plain,
% 1.60/1.65 (P1(f7(x4101,a4),f7(f6(x4101),a4),a4)),
% 1.60/1.65 inference(scs_inference,[],[30,397,400,27,310,241,382,401,340,220,254,18,20,9,19,7])).
% 1.60/1.65 cnf(412,plain,
% 1.60/1.65 (P1(x4121,f7(f7(a4,a4),a4),x4121)),
% 1.60/1.65 inference(scs_inference,[],[30,397,400,407,27,310,241,382,401,340,220,254,18,20,9,19,7,8])).
% 1.60/1.65 cnf(413,plain,
% 1.60/1.65 (E(x4131,f7(x4131,a4))),
% 1.60/1.65 inference(rename_variables,[],[27])).
% 1.60/1.65 cnf(416,plain,
% 1.60/1.65 (~E(f6(f7(a3,a4)),f7(a5,a4))),
% 1.60/1.65 inference(scs_inference,[],[42,30,397,400,407,27,413,310,241,382,401,390,340,220,254,18,20,9,19,7,8,3,2])).
% 1.60/1.65 cnf(417,plain,
% 1.60/1.65 (~P1(f6(a3),f7(a4,a4),a5)),
% 1.60/1.65 inference(scs_inference,[],[23,30,18])).
% 1.60/1.65 cnf(420,plain,
% 1.60/1.65 (~P1(a3,f7(f6(a2),a4),a1)),
% 1.60/1.65 inference(scs_inference,[],[23,30,158,17,13,18,20])).
% 1.60/1.65 cnf(423,plain,
% 1.60/1.65 (~P1(f7(a3,a5),f7(a4,a4),f7(f7(a4,a4),f7(a4,a4)))),
% 1.60/1.65 inference(scs_inference,[],[23,30,394,352,158,17,13,18,20,9])).
% 1.60/1.65 cnf(425,plain,
% 1.60/1.65 (P1(f7(a4,a4),f7(f6(a1),a4),f6(a1))),
% 1.60/1.65 inference(scs_inference,[],[23,30,394,352,158,282,103,192,17,13,18,20,9,19])).
% 1.60/1.65 cnf(428,plain,
% 1.60/1.65 (~P1(f7(a3,a5),f6(f7(a4,a4)),a4)),
% 1.60/1.65 inference(scs_inference,[],[23,30,395,394,352,158,282,103,192,17,13,18,20,9,19,8])).
% 1.60/1.65 cnf(429,plain,
% 1.60/1.65 (~P1(f6(f7(a4,a4)),a5,f6(a3))),
% 1.60/1.65 inference(scs_inference,[],[23,30,395,394,352,302,158,282,103,192,17,13,18,20,9,19,8,7])).
% 1.60/1.65 cnf(430,plain,
% 1.60/1.65 (E(f7(a4,x4301),f7(x4301,a4))),
% 1.60/1.65 inference(scs_inference,[],[23,30,27,395,351,394,352,302,158,282,103,192,17,13,18,20,9,19,8,7,3])).
% 1.60/1.65 cnf(433,plain,
% 1.60/1.65 (E(f7(a4,a4),f6(f7(a4,a4)))),
% 1.60/1.65 inference(scs_inference,[],[23,30,27,395,351,394,352,302,158,282,103,192,17,13,18,20,9,19,8,7,3,2])).
% 1.60/1.65 cnf(434,plain,
% 1.60/1.65 (~P1(f7(a3,a5),f7(a4,a4),f7(a4,a4))),
% 1.60/1.65 inference(scs_inference,[],[30,213,18])).
% 1.60/1.65 cnf(435,plain,
% 1.60/1.65 (P1(x4351,f7(a4,a4),x4351)),
% 1.60/1.65 inference(rename_variables,[],[30])).
% 1.60/1.65 cnf(439,plain,
% 1.60/1.65 (P1(x4391,f7(a4,a4),x4391)),
% 1.60/1.65 inference(rename_variables,[],[30])).
% 1.60/1.65 cnf(441,plain,
% 1.60/1.65 (P1(f7(a4,a4),f7(a4,a4),f6(f7(a4,a4)))),
% 1.60/1.65 inference(scs_inference,[],[30,435,439,433,213,423,345,18,20,9])).
% 1.60/1.65 cnf(442,plain,
% 1.60/1.65 (P1(x4421,f7(a4,a4),x4421)),
% 1.60/1.65 inference(rename_variables,[],[30])).
% 1.60/1.65 cnf(443,plain,
% 1.60/1.65 (~P1(f7(a4,a4),f7(f7(a3,a4),a5),f7(a4,a4))),
% 1.60/1.65 inference(scs_inference,[],[44,30,435,439,442,433,213,423,345,18,20,9,19])).
% 1.60/1.65 cnf(445,plain,
% 1.60/1.65 (P1(x4451,f7(a4,a4),x4451)),
% 1.60/1.65 inference(rename_variables,[],[30])).
% 1.60/1.65 cnf(449,plain,
% 1.60/1.65 (~E(f7(f7(a4,a4),f7(a4,a4)),f7(a3,a5))),
% 1.60/1.65 inference(scs_inference,[],[44,30,435,439,442,445,33,433,213,423,345,179,18,20,9,19,8,7])).
% 1.60/1.65 cnf(453,plain,
% 1.60/1.65 (~E(f6(f7(a3,a5)),f7(a4,a4))),
% 1.60/1.65 inference(scs_inference,[],[44,30,435,439,442,445,33,27,433,213,423,403,416,345,179,18,20,9,19,8,7,3,2])).
% 1.60/1.65 cnf(454,plain,
% 1.60/1.65 (E(f6(f7(a4,a4)),a4)),
% 1.60/1.65 inference(scs_inference,[],[30,14,18])).
% 1.60/1.65 cnf(456,plain,
% 1.60/1.65 (P1(x4561,f7(a4,a4),x4561)),
% 1.60/1.65 inference(rename_variables,[],[30])).
% 1.60/1.65 cnf(458,plain,
% 1.60/1.65 (~P1(a2,f7(a5,a4),f6(f7(a1,a4)))),
% 1.60/1.65 inference(scs_inference,[],[30,263,85,347,14,18,20])).
% 1.60/1.65 cnf(462,plain,
% 1.60/1.65 (P1(f7(x4621,a4),f7(f6(x4621),a4),f7(a4,a4))),
% 1.60/1.65 inference(scs_inference,[],[30,27,263,410,85,347,14,18,20,9])).
% 1.60/1.65 cnf(463,plain,
% 1.60/1.65 (E(x4631,f7(x4631,a4))),
% 1.60/1.65 inference(rename_variables,[],[27])).
% 1.60/1.65 cnf(467,plain,
% 1.60/1.65 (P1(f7(x4671,a3),f7(a4,a4),f7(x4671,f7(a1,a2)))),
% 1.60/1.65 inference(scs_inference,[],[30,456,27,463,263,130,233,410,85,90,347,14,18,20,9,19,8])).
% 1.60/1.65 cnf(468,plain,
% 1.60/1.65 (E(x4681,f7(x4681,a4))),
% 1.60/1.65 inference(rename_variables,[],[27])).
% 1.60/1.65 cnf(469,plain,
% 1.60/1.65 (P1(f7(x4691,a4),f7(f7(a4,a4),a4),x4691)),
% 1.60/1.65 inference(scs_inference,[],[30,456,27,463,468,263,412,130,233,410,85,90,347,14,18,20,9,19,8,7])).
% 1.60/1.65 cnf(471,plain,
% 1.60/1.65 (~E(f7(a3,a4),f6(a5))),
% 1.60/1.65 inference(scs_inference,[],[30,456,27,463,468,79,263,412,130,233,410,85,90,347,14,18,20,9,19,8,7,3])).
% 1.60/1.65 cnf(473,plain,
% 1.60/1.65 (E(f7(f7(x4731,a4),a4),x4731)),
% 1.60/1.65 inference(scs_inference,[],[30,456,27,463,468,79,263,412,243,130,233,410,85,90,347,14,18,20,9,19,8,7,3,2])).
% 1.60/1.65 cnf(478,plain,
% 1.60/1.65 (P1(x4781,f7(a4,a4),x4781)),
% 1.60/1.65 inference(rename_variables,[],[30])).
% 1.60/1.65 cnf(483,plain,
% 1.60/1.65 (~P1(f7(a4,a4),f7(a4,a4),f7(a3,a5))),
% 1.60/1.65 inference(scs_inference,[],[47,37,44,30,478,434,469,473,382,18,20,9,19])).
% 1.60/1.65 cnf(487,plain,
% 1.60/1.65 (~P1(f7(a3,a5),a4,f7(a4,a4))),
% 1.60/1.65 inference(scs_inference,[],[27,47,37,44,30,478,434,469,473,382,18,20,9,19,8])).
% 1.60/1.65 cnf(488,plain,
% 1.60/1.65 (E(x4881,f7(x4881,a4))),
% 1.60/1.65 inference(rename_variables,[],[27])).
% 1.60/1.65 cnf(490,plain,
% 1.60/1.65 (E(x4901,f7(x4901,a4))),
% 1.60/1.65 inference(rename_variables,[],[27])).
% 1.60/1.65 cnf(491,plain,
% 1.60/1.65 (E(f7(a1,a2),f7(f7(a4,a3),a4))),
% 1.60/1.65 inference(scs_inference,[],[27,488,490,47,37,44,30,478,434,443,469,473,181,382,18,20,9,19,8,7,3])).
% 1.60/1.65 cnf(493,plain,
% 1.60/1.65 (~E(f7(a3,a5),f7(f7(a4,a4),f7(a4,a4)))),
% 1.60/1.65 inference(scs_inference,[],[27,488,490,47,37,44,30,478,434,443,449,469,473,181,382,18,20,9,19,8,7,3,2])).
% 1.60/1.65 cnf(494,plain,
% 1.60/1.65 (~P1(f7(a4,a4),f7(a4,a4),f6(f7(a3,a5)))),
% 1.60/1.65 inference(scs_inference,[],[30,453,18])).
% 1.60/1.65 cnf(495,plain,
% 1.60/1.65 (P1(x4951,f7(a4,a4),x4951)),
% 1.60/1.65 inference(rename_variables,[],[30])).
% 1.60/1.65 cnf(497,plain,
% 1.60/1.65 (P1(f7(f7(x4971,a4),x4972),f7(a4,a4),f7(x4971,x4972))),
% 1.60/1.65 inference(scs_inference,[],[30,495,453,373,18,9])).
% 1.60/1.65 cnf(498,plain,
% 1.60/1.65 (P1(x4981,f7(a4,a4),x4981)),
% 1.60/1.65 inference(rename_variables,[],[30])).
% 1.60/1.65 cnf(499,plain,
% 1.60/1.65 (P1(x4991,f7(f6(a4),a4),x4991)),
% 1.60/1.65 inference(scs_inference,[],[30,495,498,453,373,462,18,9,19])).
% 1.60/1.65 cnf(503,plain,
% 1.60/1.65 (~P1(f6(f7(a4,a4)),f7(a5,a4),f6(a3))),
% 1.60/1.65 inference(scs_inference,[],[47,30,495,498,453,373,313,462,454,18,9,19,8,7])).
% 1.60/1.65 cnf(506,plain,
% 1.60/1.65 (E(f7(x5061,a4),f7(a4,x5061))),
% 1.60/1.65 inference(scs_inference,[],[42,47,30,495,498,453,373,374,313,462,430,454,18,9,19,8,7,3,2])).
% 1.60/1.65 cnf(510,plain,
% 1.60/1.65 (E(f7(a5,a1),f6(a2))),
% 1.60/1.65 inference(scs_inference,[],[250,11,18])).
% 1.60/1.65 cnf(513,plain,
% 1.60/1.65 (~P1(f7(a4,a4),f7(f6(a4),a4),f7(a3,a5))),
% 1.60/1.65 inference(scs_inference,[],[30,483,499,250,11,18,20])).
% 1.60/1.65 cnf(514,plain,
% 1.60/1.65 (P1(x5141,f7(f6(a4),a4),x5141)),
% 1.60/1.65 inference(rename_variables,[],[499])).
% 1.60/1.65 cnf(515,plain,
% 1.60/1.65 (P1(x5151,f7(a4,a4),x5151)),
% 1.60/1.65 inference(rename_variables,[],[30])).
% 1.60/1.65 cnf(517,plain,
% 1.60/1.65 (~P1(f7(a4,a4),f7(a3,a5),f7(a4,a4))),
% 1.60/1.65 inference(scs_inference,[],[30,515,51,483,499,250,11,18,20,19])).
% 1.60/1.65 cnf(519,plain,
% 1.60/1.65 (P1(x5191,f7(a4,a4),x5191)),
% 1.60/1.65 inference(rename_variables,[],[30])).
% 1.60/1.65 cnf(522,plain,
% 1.60/1.65 (P1(x5221,f7(a4,f6(a4)),x5221)),
% 1.60/1.65 inference(scs_inference,[],[30,515,51,441,483,499,514,506,250,11,18,20,19,9,8])).
% 1.60/1.65 cnf(524,plain,
% 1.60/1.65 (P1(f6(f7(a4,x5241)),f7(a4,a4),f6(x5241))),
% 1.60/1.65 inference(scs_inference,[],[30,515,519,51,441,483,499,514,289,506,250,11,18,20,19,9,8,7])).
% 1.60/1.65 cnf(529,plain,
% 1.60/1.65 (P1(x5291,f7(a4,a4),x5291)),
% 1.60/1.65 inference(rename_variables,[],[30])).
% 1.60/1.65 cnf(531,plain,
% 1.60/1.65 (~P1(f6(a4),a5,f6(a3))),
% 1.60/1.65 inference(scs_inference,[],[30,41,524,429,61,18,20])).
% 1.60/1.65 cnf(535,plain,
% 1.60/1.65 (~P1(f6(x5351),x5351,f6(f7(a3,a5)))),
% 1.60/1.65 inference(scs_inference,[],[30,529,41,494,524,429,254,61,18,20,19])).
% 1.60/1.65 cnf(542,plain,
% 1.60/1.65 (E(f7(a5,a1),f7(f6(a2),f7(a4,a4)))),
% 1.60/1.65 inference(scs_inference,[],[30,529,41,51,494,524,429,510,332,306,241,254,61,18,20,19,9,8,3])).
% 1.60/1.65 cnf(545,plain,
% 1.60/1.65 (E(f7(f7(a1,a2),a4),f7(a4,a3))),
% 1.60/1.65 inference(scs_inference,[],[30,529,41,51,494,290,524,429,201,510,332,306,241,254,61,18,20,19,9,8,3,7,2])).
% 1.60/1.65 cnf(546,plain,
% 1.60/1.65 (~P1(f7(a3,a5),f7(a4,a4),f7(f7(a4,a4),a4))),
% 1.60/1.65 inference(scs_inference,[],[497,487,280,20])).
% 1.60/1.65 cnf(547,plain,
% 1.60/1.65 (P1(f7(f7(x5471,a4),x5472),f7(a4,a4),f7(x5471,x5472))),
% 1.60/1.65 inference(rename_variables,[],[497])).
% 1.60/1.65 cnf(551,plain,
% 1.60/1.65 (P1(x5511,f7(a4,f6(a4)),x5511)),
% 1.60/1.65 inference(rename_variables,[],[522])).
% 1.60/1.65 cnf(554,plain,
% 1.60/1.65 (P1(f7(f7(x5541,a4),x5542),f7(a4,a4),f7(x5541,x5542))),
% 1.60/1.65 inference(rename_variables,[],[497])).
% 1.60/1.65 cnf(557,plain,
% 1.60/1.65 (P1(f7(f7(x5571,a4),a4),f7(a4,a4),x5571)),
% 1.60/1.66 inference(scs_inference,[],[42,55,417,497,547,554,522,551,487,280,20,18,19,9])).
% 1.60/1.66 cnf(567,plain,
% 1.60/1.66 (E(a4,f6(a4))),
% 1.60/1.66 inference(scs_inference,[],[499,59,18])).
% 1.60/1.66 cnf(573,plain,
% 1.60/1.66 (P1(f7(f7(x5731,a4),a4),f7(a4,a4),x5731)),
% 1.60/1.66 inference(rename_variables,[],[557])).
% 1.60/1.66 cnf(576,plain,
% 1.60/1.66 (P1(f6(a2),f7(a2,a4),f7(f7(a5,a3),a4))),
% 1.60/1.66 inference(scs_inference,[],[557,96,276,499,317,412,59,18,20,19])).
% 1.60/1.66 cnf(579,plain,
% 1.60/1.66 (P1(a1,a2,f7(a3,a4))),
% 1.60/1.66 inference(scs_inference,[],[55,557,89,96,276,499,317,412,59,18,20,19,9])).
% 1.60/1.66 cnf(580,plain,
% 1.60/1.66 (E(f7(x5801,a4),x5801)),
% 1.60/1.66 inference(rename_variables,[],[55])).
% 1.60/1.66 cnf(581,plain,
% 1.60/1.66 (P1(f7(f7(x5811,a4),a4),a4,x5811)),
% 1.60/1.66 inference(scs_inference,[],[55,580,557,573,89,96,276,499,317,412,59,18,20,19,9,8])).
% 1.60/1.66 cnf(584,plain,
% 1.60/1.66 (P1(f7(f7(a1,a4),f7(a4,a4)),f7(a2,a4),a3)),
% 1.60/1.66 inference(scs_inference,[],[42,55,580,557,573,268,89,96,276,499,370,317,412,59,18,20,19,9,8,3,7])).
% 1.60/1.66 cnf(586,plain,
% 1.60/1.66 (E(f7(f6(a2),f7(a4,a4)),f7(a5,a1))),
% 1.60/1.66 inference(scs_inference,[],[42,55,580,557,573,542,268,89,96,276,499,370,317,412,59,18,20,19,9,8,3,7,2])).
% 1.60/1.66 cnf(587,plain,
% 1.60/1.66 (E(f7(x5871,a4),f7(x5871,f6(a4)))),
% 1.60/1.66 inference(scs_inference,[],[42,55,580,557,573,542,268,89,96,276,499,370,317,412,59,18,20,19,9,8,3,7,2,6])).
% 1.60/1.66 cnf(588,plain,
% 1.60/1.66 (E(f7(a4,x5881),f7(f6(a4),x5881))),
% 1.60/1.66 inference(scs_inference,[],[42,55,580,557,573,542,268,89,96,276,499,370,317,412,59,18,20,19,9,8,3,7,2,6,5])).
% 1.60/1.66 cnf(589,plain,
% 1.60/1.66 (E(f6(a4),f6(f6(a4)))),
% 1.60/1.66 inference(scs_inference,[],[42,55,580,557,573,542,268,89,96,276,499,370,317,412,59,18,20,19,9,8,3,7,2,6,5,4])).
% 1.60/1.66 cnf(590,plain,
% 1.60/1.66 (P1(f7(a2,a4),f7(f7(a5,a3),a4),a2)),
% 1.60/1.66 inference(scs_inference,[],[59,576,222,20])).
% 1.60/1.66 cnf(592,plain,
% 1.60/1.66 (P1(a4,f7(x5921,a4),x5921)),
% 1.60/1.66 inference(rename_variables,[],[59])).
% 1.60/1.66 cnf(594,plain,
% 1.60/1.66 (~P1(f7(f7(a4,a4),a4),a4,f7(a3,a5))),
% 1.60/1.66 inference(scs_inference,[],[37,59,576,581,222,20,18])).
% 1.60/1.66 cnf(601,plain,
% 1.60/1.66 (~P1(f6(a3),a4,f7(a5,a4))),
% 1.60/1.66 inference(scs_inference,[],[37,47,59,592,51,55,576,581,522,222,20,18,19,9])).
% 1.60/1.66 cnf(602,plain,
% 1.60/1.66 (E(f7(x6021,a4),x6021)),
% 1.60/1.66 inference(rename_variables,[],[55])).
% 1.60/1.66 cnf(607,plain,
% 1.60/1.66 (E(f7(a4,a4),f7(f6(a4),f6(a4)))),
% 1.60/1.66 inference(scs_inference,[],[37,47,59,592,51,55,602,587,588,576,581,226,522,222,20,18,19,9,8,7,3])).
% 1.60/1.66 cnf(611,plain,
% 1.60/1.66 (~P1(a4,f7(f7(a3,a5),a4),a4)),
% 1.60/1.66 inference(scs_inference,[],[37,59,18])).
% 1.60/1.66 cnf(612,plain,
% 1.60/1.66 (P1(a4,f7(x6121,a4),x6121)),
% 1.60/1.66 inference(rename_variables,[],[59])).
% 1.60/1.66 cnf(620,plain,
% 1.60/1.66 (P1(a4,f7(f7(x6201,a4),a4),x6201)),
% 1.60/1.66 inference(scs_inference,[],[37,59,612,55,517,425,584,420,462,254,18,20,19,9])).
% 1.60/1.66 cnf(629,plain,
% 1.60/1.66 (E(f7(f6(a4),f6(a4)),f7(a4,a4))),
% 1.60/1.66 inference(scs_inference,[],[37,59,612,47,55,517,493,535,607,425,584,420,288,462,581,499,254,18,20,19,9,8,3,7,2])).
% 1.60/1.66 cnf(630,plain,
% 1.60/1.66 (~P1(f6(a3),f6(a5),f7(a4,a4))),
% 1.60/1.66 inference(scs_inference,[],[61,47,14,20])).
% 1.60/1.66 cnf(631,plain,
% 1.60/1.66 (P1(f7(a4,a4),x6311,x6311)),
% 1.60/1.66 inference(rename_variables,[],[61])).
% 1.60/1.66 cnf(632,plain,
% 1.60/1.66 (P1(f6(x6321),x6321,a4)),
% 1.60/1.66 inference(rename_variables,[],[14])).
% 1.60/1.66 cnf(634,plain,
% 1.60/1.66 (E(f7(x6341,a4),f7(f7(a4,a4),x6341))),
% 1.60/1.66 inference(scs_inference,[],[61,631,47,347,14,20,18])).
% 1.60/1.66 cnf(636,plain,
% 1.60/1.66 (P1(f7(a4,a4),x6361,x6361)),
% 1.60/1.66 inference(rename_variables,[],[61])).
% 1.60/1.66 cnf(638,plain,
% 1.60/1.66 (~P1(f6(f7(a3,a5)),f7(a4,a4),a4)),
% 1.60/1.66 inference(scs_inference,[],[61,631,636,51,47,347,14,632,20,18,19])).
% 1.60/1.66 cnf(639,plain,
% 1.60/1.66 (P1(f7(a4,a4),x6391,x6391)),
% 1.60/1.66 inference(rename_variables,[],[61])).
% 1.60/1.66 cnf(642,plain,
% 1.60/1.66 (P1(f7(a1,a4),a2,f7(f7(a3,a4),a4))),
% 1.60/1.66 inference(scs_inference,[],[61,631,636,51,47,94,243,347,14,632,20,18,19,9])).
% 1.60/1.66 cnf(644,plain,
% 1.60/1.66 (P1(f7(a4,a4),x6441,f7(x6441,a4))),
% 1.60/1.66 inference(scs_inference,[],[61,631,636,639,51,47,55,94,243,347,14,632,20,18,19,9,8])).
% 1.60/1.66 cnf(646,plain,
% 1.60/1.66 (P1(f6(a4),f7(x6461,a4),x6461)),
% 1.60/1.66 inference(scs_inference,[],[61,631,636,639,59,51,47,55,567,94,243,347,14,632,20,18,19,9,8,7])).
% 1.60/1.66 cnf(649,plain,
% 1.60/1.66 (~P1(f7(a4,a4),f7(f7(a3,a4),a5),a4)),
% 1.60/1.66 inference(scs_inference,[],[41,61,18])).
% 1.60/1.66 cnf(650,plain,
% 1.60/1.66 (P1(f7(a4,a4),x6501,x6501)),
% 1.60/1.66 inference(rename_variables,[],[61])).
% 1.60/1.66 cnf(652,plain,
% 1.60/1.66 (P1(f6(f7(a4,a4)),f7(x6521,a4),x6521)),
% 1.60/1.66 inference(scs_inference,[],[41,61,650,646,524,18,20])).
% 1.60/1.66 cnf(653,plain,
% 1.60/1.66 (P1(f7(a4,a4),x6531,x6531)),
% 1.60/1.66 inference(rename_variables,[],[61])).
% 1.60/1.66 cnf(656,plain,
% 1.60/1.66 (P1(f7(a4,a4),f7(x6561,a3),f7(x6561,f7(a3,a4)))),
% 1.60/1.66 inference(scs_inference,[],[41,61,650,653,644,646,69,524,18,20,19])).
% 1.60/1.66 cnf(660,plain,
% 1.60/1.66 (~P1(a4,f7(a3,a5),f7(a4,a4))),
% 1.60/1.66 inference(scs_inference,[],[41,61,650,653,51,55,644,646,69,524,18,20,19,9])).
% 1.60/1.66 cnf(661,plain,
% 1.60/1.66 (E(f7(x6611,a4),x6611)),
% 1.60/1.66 inference(rename_variables,[],[55])).
% 1.60/1.66 cnf(664,plain,
% 1.60/1.66 (E(f7(f6(a4),f6(a4)),a4)),
% 1.60/1.66 inference(scs_inference,[],[41,61,650,653,51,55,661,629,644,646,428,69,289,524,18,20,19,9,8,3])).
% 1.60/1.66 cnf(666,plain,
% 1.60/1.66 (~P1(f7(a4,a4),a4,f7(a3,a5))),
% 1.60/1.66 inference(scs_inference,[],[41,61,650,653,51,55,661,629,644,634,646,594,428,69,289,524,18,20,19,9,8,3,7])).
% 1.60/1.66 cnf(672,plain,
% 1.60/1.66 (P1(a4,f7(x6721,a4),x6721)),
% 1.60/1.66 inference(rename_variables,[],[59])).
% 1.60/1.66 cnf(674,plain,
% 1.60/1.66 (~P1(a4,f7(f6(a3),a4),a5)),
% 1.60/1.66 inference(scs_inference,[],[42,59,672,375,644,20,18])).
% 1.60/1.66 cnf(675,plain,
% 1.60/1.66 (P1(a4,f7(x6751,a4),x6751)),
% 1.60/1.66 inference(rename_variables,[],[59])).
% 1.60/1.66 cnf(677,plain,
% 1.60/1.66 (P1(a2,f6(f7(a4,a4)),a2)),
% 1.60/1.66 inference(scs_inference,[],[42,59,672,375,590,644,340,20,18,19])).
% 1.60/1.66 cnf(680,plain,
% 1.60/1.66 (P1(a4,f7(f7(a4,x6801),a4),f7(x6801,a4))),
% 1.60/1.66 inference(scs_inference,[],[42,59,672,675,375,590,644,340,430,20,18,19,9])).
% 1.60/1.66 cnf(682,plain,
% 1.60/1.66 (~E(f7(a3,a5),f7(f6(a4),a4))),
% 1.60/1.66 inference(scs_inference,[],[42,59,672,675,61,513,375,590,644,340,430,20,18,19,9,8])).
% 1.60/1.66 cnf(684,plain,
% 1.60/1.66 (~P1(f7(a4,a4),f7(a3,a5),a4)),
% 1.60/1.66 inference(scs_inference,[],[42,59,672,675,61,51,55,513,375,590,644,340,430,20,18,19,9,8,7])).
% 1.60/1.66 cnf(689,plain,
% 1.60/1.66 (E(f6(a4),a4)),
% 1.60/1.66 inference(scs_inference,[],[59,220,18])).
% 1.60/1.66 cnf(691,plain,
% 1.60/1.66 (P1(a4,f7(x6911,a4),x6911)),
% 1.60/1.66 inference(rename_variables,[],[59])).
% 1.60/1.66 cnf(693,plain,
% 1.60/1.66 (~P1(f7(f7(a4,a4),a4),f7(a3,a5),a4)),
% 1.60/1.66 inference(scs_inference,[],[63,59,691,61,220,18,20])).
% 1.60/1.66 cnf(697,plain,
% 1.60/1.66 (~P1(a2,a5,f6(f7(a1,a4)))),
% 1.60/1.66 inference(scs_inference,[],[63,59,691,61,652,458,677,220,18,20,19])).
% 1.60/1.66 cnf(698,plain,
% 1.60/1.66 (P1(f6(f7(a4,a4)),f7(x6981,a4),x6981)),
% 1.60/1.66 inference(rename_variables,[],[652])).
% 1.60/1.66 cnf(700,plain,
% 1.60/1.66 (P1(f7(a1,a4),a2,f7(a3,a4))),
% 1.60/1.66 inference(scs_inference,[],[63,59,691,61,55,652,642,458,677,220,18,20,19,9])).
% 1.60/1.66 cnf(701,plain,
% 1.60/1.66 (E(f7(x7011,a4),x7011)),
% 1.60/1.66 inference(rename_variables,[],[55])).
% 1.60/1.66 cnf(702,plain,
% 1.60/1.66 (P1(f6(f7(a4,a4)),x7021,x7021)),
% 1.60/1.66 inference(scs_inference,[],[63,59,691,61,55,701,652,698,642,458,677,220,18,20,19,9,8])).
% 1.60/1.66 cnf(706,plain,
% 1.60/1.66 (P1(f6(f6(a4)),f7(x7061,a4),x7061)),
% 1.60/1.66 inference(scs_inference,[],[63,59,691,61,55,701,589,652,698,203,642,458,677,204,646,220,18,20,19,9,8,3,7])).
% 1.60/1.66 cnf(707,plain,
% 1.60/1.66 (E(f6(f6(a4)),f6(a4))),
% 1.60/1.66 inference(scs_inference,[],[63,59,691,61,55,701,589,652,698,203,642,458,677,204,646,220,18,20,19,9,8,3,7,2])).
% 1.60/1.66 cnf(708,plain,
% 1.60/1.66 (E(f7(x7081,f6(a4)),f7(x7081,a4))),
% 1.60/1.66 inference(scs_inference,[],[63,59,691,61,55,701,589,652,698,203,642,458,677,204,646,220,18,20,19,9,8,3,7,2,6])).
% 1.60/1.66 cnf(709,plain,
% 1.60/1.66 (E(f7(f6(a4),x7091),f7(a4,x7091))),
% 1.60/1.66 inference(scs_inference,[],[63,59,691,61,55,701,589,652,698,203,642,458,677,204,646,220,18,20,19,9,8,3,7,2,6,5])).
% 1.60/1.66 cnf(714,plain,
% 1.60/1.66 (~P1(f7(a1,a4),a2,f6(a5))),
% 1.60/1.66 inference(scs_inference,[],[47,59,471,700,14,20,18])).
% 1.60/1.66 cnf(722,plain,
% 1.60/1.66 (~P1(a4,f7(f6(a4),f6(a4)),f7(a3,a5))),
% 1.60/1.66 inference(scs_inference,[],[63,47,59,61,55,471,700,664,581,14,20,18,19,9,8])).
% 1.60/1.66 cnf(723,plain,
% 1.60/1.66 (P1(f7(a4,a3),f7(a4,a4),f7(f6(a4),f7(a1,a2)))),
% 1.60/1.66 inference(scs_inference,[],[63,47,59,61,55,467,709,471,700,664,581,14,20,18,19,9,8,7])).
% 1.60/1.66 cnf(726,plain,
% 1.60/1.66 (E(f6(f6(a4)),a4)),
% 1.60/1.66 inference(scs_inference,[],[63,47,59,61,55,467,707,709,471,700,664,689,581,14,20,18,19,9,8,7,3])).
% 1.60/1.66 cnf(729,plain,
% 1.60/1.66 (P1(a4,f7(x7291,a4),x7291)),
% 1.60/1.66 inference(rename_variables,[],[59])).
% 1.60/1.66 cnf(731,plain,
% 1.60/1.66 (P1(f7(a4,a4),f7(x7311,a4),x7311)),
% 1.60/1.66 inference(scs_inference,[],[59,729,61,162,620,18,20])).
% 1.60/1.66 cnf(732,plain,
% 1.60/1.66 (P1(a4,f7(x7321,a4),x7321)),
% 1.60/1.66 inference(rename_variables,[],[59])).
% 1.60/1.66 cnf(735,plain,
% 1.60/1.66 (P1(f7(f7(a4,a1),a4),a2,a3)),
% 1.60/1.66 inference(scs_inference,[],[59,729,732,61,162,620,579,317,18,20,19])).
% 1.60/1.66 cnf(736,plain,
% 1.60/1.66 (P1(a4,f7(x7361,a4),x7361)),
% 1.60/1.66 inference(rename_variables,[],[59])).
% 1.60/1.66 cnf(739,plain,
% 1.60/1.66 (P1(a4,f7(f7(x7391,a4),a4),f7(a4,x7391))),
% 1.60/1.66 inference(scs_inference,[],[59,729,732,736,61,162,620,579,506,317,18,20,19,9])).
% 1.60/1.66 cnf(741,plain,
% 1.60/1.66 (~P1(f6(a3),f7(a1,a4),f6(a2))),
% 1.60/1.66 inference(scs_inference,[],[66,59,729,732,736,61,55,162,620,579,506,317,18,20,19,9,8])).
% 1.60/1.66 cnf(742,plain,
% 1.60/1.66 (E(f7(x7421,a4),x7421)),
% 1.60/1.66 inference(rename_variables,[],[55])).
% 1.60/1.66 cnf(747,plain,
% 1.60/1.66 (E(f7(f7(a1,a2),f7(a1,a2)),f7(a3,a3))),
% 1.60/1.66 inference(scs_inference,[],[66,59,729,732,736,61,55,742,682,162,708,139,620,579,506,317,18,20,19,9,8,3,7,2])).
% 1.60/1.66 cnf(749,plain,
% 1.60/1.66 (P1(f7(x7491,a4),f7(f7(a4,a4),a4),x7491)),
% 1.60/1.66 inference(rename_variables,[],[469])).
% 1.60/1.66 cnf(752,plain,
% 1.60/1.66 (E(f6(a4),f7(a4,a4))),
% 1.60/1.66 inference(scs_inference,[],[63,59,469,412,646,20,18])).
% 1.60/1.66 cnf(756,plain,
% 1.60/1.66 (P1(a3,f6(f7(a4,a4)),a3)),
% 1.60/1.66 inference(scs_inference,[],[63,59,735,469,677,412,646,20,18,19])).
% 1.60/1.66 cnf(758,plain,
% 1.60/1.66 (P1(a4,f7(x7581,a3),f7(f7(x7581,a4),f7(a3,a4)))),
% 1.60/1.66 inference(scs_inference,[],[69,63,59,735,205,469,677,412,646,20,18,19,9])).
% 1.60/1.66 cnf(761,plain,
% 1.60/1.66 (P1(f6(f7(a4,a4)),x7611,f7(x7611,a4))),
% 1.60/1.66 inference(scs_inference,[],[69,63,59,55,702,735,205,469,677,412,646,20,18,19,9,8])).
% 1.60/1.66 cnf(763,plain,
% 1.60/1.66 (P1(f7(a4,a3),f7(f7(a4,a4),a4),f7(a1,a2))),
% 1.60/1.66 inference(scs_inference,[],[69,63,59,55,702,545,735,205,469,749,677,412,646,20,18,19,9,8,7])).
% 1.60/1.66 cnf(768,plain,
% 1.60/1.66 (~P1(a1,a2,f6(a5))),
% 1.60/1.66 inference(scs_inference,[],[471,579,18])).
% 1.60/1.66 cnf(772,plain,
% 1.60/1.66 (P1(f7(a4,a4),x7721,x7721)),
% 1.60/1.66 inference(rename_variables,[],[61])).
% 1.60/1.66 cnf(774,plain,
% 1.60/1.66 (~P1(f7(a4,a4),f7(a5,a4),f6(a3))),
% 1.60/1.66 inference(scs_inference,[],[61,772,761,503,441,471,579,18,20,19])).
% 1.60/1.66 cnf(778,plain,
% 1.60/1.66 (E(f7(x7781,a4),x7781)),
% 1.60/1.66 inference(rename_variables,[],[55])).
% 1.60/1.66 cnf(780,plain,
% 1.60/1.66 (P1(a4,f7(a4,a4),f6(f7(a4,a4)))),
% 1.60/1.66 inference(scs_inference,[],[61,772,55,778,546,611,761,503,752,441,471,579,18,20,19,9,8,7])).
% 1.60/1.66 cnf(782,plain,
% 1.60/1.66 (E(f7(a4,a4),f6(a4))),
% 1.60/1.66 inference(scs_inference,[],[61,772,55,778,546,611,761,503,752,441,433,267,471,579,18,20,19,9,8,7,3])).
% 1.60/1.66 cnf(784,plain,
% 1.60/1.66 (E(f7(f7(a4,a3),a4),f7(a1,a2))),
% 1.60/1.66 inference(scs_inference,[],[61,772,55,778,546,611,761,503,752,491,441,433,267,471,579,18,20,19,9,8,7,3,2])).
% 1.60/1.66 cnf(785,plain,
% 1.60/1.66 (~P1(a4,f7(a5,a4),f7(f6(a3),a4))),
% 1.60/1.66 inference(scs_inference,[],[59,61,378,20])).
% 1.60/1.66 cnf(786,plain,
% 1.60/1.66 (P1(a4,f7(x7861,a4),x7861)),
% 1.60/1.66 inference(rename_variables,[],[59])).
% 1.60/1.66 cnf(787,plain,
% 1.60/1.66 (P1(f7(a4,a4),x7871,x7871)),
% 1.60/1.66 inference(rename_variables,[],[61])).
% 1.60/1.66 cnf(790,plain,
% 1.60/1.66 (P1(a4,f7(x7901,a4),x7901)),
% 1.60/1.66 inference(rename_variables,[],[59])).
% 1.60/1.66 cnf(796,plain,
% 1.60/1.66 (P1(a4,f7(f7(a4,a4),a4),f6(a4))),
% 1.60/1.66 inference(scs_inference,[],[59,786,790,61,787,271,782,378,372,497,20,18,19,9])).
% 1.60/1.66 cnf(798,plain,
% 1.60/1.66 (~P1(f6(a3),f7(a4,a4),f7(a5,a4))),
% 1.60/1.66 inference(scs_inference,[],[59,786,790,61,787,55,271,601,782,378,372,497,20,18,19,9,8])).
% 1.60/1.66 cnf(806,plain,
% 1.60/1.66 (P1(a4,f7(a4,x8061),x8061)),
% 1.60/1.66 inference(rename_variables,[],[179])).
% 1.60/1.66 cnf(807,plain,
% 1.60/1.66 (P1(a4,f7(x8071,a3),f7(x8071,f7(a3,a4)))),
% 1.60/1.66 inference(rename_variables,[],[69])).
% 1.60/1.66 cnf(809,plain,
% 1.60/1.66 (P1(f7(a4,a4),f7(a4,f7(a3,a4)),a3)),
% 1.60/1.66 inference(scs_inference,[],[69,807,61,179,806,18,20])).
% 1.60/1.66 cnf(812,plain,
% 1.60/1.66 (P1(f7(a4,a4),x8121,x8121)),
% 1.60/1.66 inference(rename_variables,[],[61])).
% 1.60/1.66 cnf(814,plain,
% 1.60/1.66 (P1(f7(a4,a4),f7(x8141,a3),f7(f7(x8141,a4),f7(a3,a4)))),
% 1.60/1.66 inference(scs_inference,[],[69,807,61,812,758,345,179,806,18,20,19])).
% 1.60/1.66 cnf(815,plain,
% 1.60/1.66 (P1(f7(a4,a4),x8151,x8151)),
% 1.60/1.66 inference(rename_variables,[],[61])).
% 1.60/1.66 cnf(818,plain,
% 1.60/1.66 (P1(f7(f7(a1,a2),a3),f7(a4,a4),f7(a3,a3))),
% 1.60/1.66 inference(scs_inference,[],[69,807,61,812,747,758,467,345,179,806,18,20,19,9])).
% 1.60/1.66 cnf(820,plain,
% 1.60/1.66 (P1(f7(a4,a3),a4,f7(f6(a4),f7(a1,a2)))),
% 1.60/1.66 inference(scs_inference,[],[69,807,61,812,55,723,747,758,467,345,179,806,18,20,19,9,8])).
% 1.60/1.66 cnf(823,plain,
% 1.60/1.66 (E(f7(x8231,x8232),f7(x8231,f7(a4,x8232)))),
% 1.60/1.66 inference(rename_variables,[],[287])).
% 1.60/1.66 cnf(824,plain,
% 1.60/1.66 (P1(f7(a4,f7(a4,a4)),x8241,x8241)),
% 1.60/1.66 inference(scs_inference,[],[69,807,61,812,815,55,723,747,758,80,287,823,467,345,179,806,18,20,19,9,8,3,7])).
% 1.60/1.66 cnf(826,plain,
% 1.60/1.66 (E(a4,f6(f6(a4)))),
% 1.60/1.66 inference(scs_inference,[],[69,807,61,812,815,55,723,747,758,726,80,287,823,467,345,179,806,18,20,19,9,8,3,7,2])).
% 1.60/1.66 cnf(827,plain,
% 1.60/1.66 (~P1(a4,f7(a4,a4),f6(f7(a3,a5)))),
% 1.60/1.66 inference(scs_inference,[],[61,780,241,20])).
% 1.60/1.66 cnf(828,plain,
% 1.60/1.66 (P1(f7(a4,a4),x8281,x8281)),
% 1.60/1.66 inference(rename_variables,[],[61])).
% 1.60/1.66 cnf(832,plain,
% 1.60/1.66 (P1(f7(a4,a4),x8321,x8321)),
% 1.60/1.66 inference(rename_variables,[],[61])).
% 1.60/1.66 cnf(839,plain,
% 1.60/1.66 (E(f7(x8391,a4),x8391)),
% 1.60/1.66 inference(rename_variables,[],[55])).
% 1.60/1.66 cnf(840,plain,
% 1.60/1.66 (~P1(a4,f7(f6(a4),a4),f7(a3,a5))),
% 1.60/1.66 inference(scs_inference,[],[55,75,71,61,828,832,666,731,780,722,587,241,20,18,19,9,8])).
% 1.60/1.66 cnf(842,plain,
% 1.60/1.66 (P1(a4,f7(a4,f7(a3,a4)),a3)),
% 1.60/1.66 inference(scs_inference,[],[55,839,75,71,61,828,832,666,731,780,809,722,587,241,20,18,19,9,8,7])).
% 1.60/1.66 cnf(844,plain,
% 1.60/1.66 (E(f6(f6(a4)),f7(a4,a4))),
% 1.60/1.66 inference(scs_inference,[],[55,839,75,71,61,828,832,666,731,780,809,722,707,587,752,241,20,18,19,9,8,7,3])).
% 1.60/1.66 cnf(847,plain,
% 1.60/1.66 (P1(a4,f7(x8471,a4),x8471)),
% 1.60/1.66 inference(rename_variables,[],[59])).
% 1.60/1.66 cnf(856,plain,
% 1.60/1.66 (P1(a4,f7(a4,a4),f6(f6(a4)))),
% 1.60/1.66 inference(scs_inference,[],[59,847,61,826,349,173,271,239,780,522,18,20,19,9])).
% 1.60/1.66 cnf(859,plain,
% 1.60/1.66 (E(f7(x8591,a4),x8591)),
% 1.60/1.66 inference(rename_variables,[],[55])).
% 1.60/1.66 cnf(860,plain,
% 1.60/1.66 (E(f7(a4,a4),f6(f6(a4)))),
% 1.60/1.66 inference(scs_inference,[],[55,859,59,847,61,107,826,349,173,271,239,780,522,18,20,19,9,8,3])).
% 1.60/1.66 cnf(866,plain,
% 1.60/1.66 (P1(a4,f7(x8661,a4),x8661)),
% 1.60/1.66 inference(rename_variables,[],[59])).
% 1.60/1.66 cnf(867,plain,
% 1.60/1.66 (P1(f7(a4,a4),x8671,x8671)),
% 1.60/1.66 inference(rename_variables,[],[61])).
% 1.60/1.66 cnf(869,plain,
% 1.60/1.66 (E(x8691,f7(a4,f7(x8691,a4)))),
% 1.60/1.66 inference(scs_inference,[],[59,866,61,774,16,20,18])).
% 1.60/1.66 cnf(873,plain,
% 1.60/1.66 (P1(a4,f7(x8731,a4),x8731)),
% 1.60/1.66 inference(rename_variables,[],[59])).
% 1.60/1.66 cnf(874,plain,
% 1.60/1.66 (P1(f7(a4,a4),x8741,x8741)),
% 1.60/1.66 inference(rename_variables,[],[61])).
% 1.60/1.66 cnf(876,plain,
% 1.60/1.66 (P1(f7(a4,a3),a4,f7(f6(a4),a3))),
% 1.60/1.66 inference(scs_inference,[],[59,866,61,867,638,774,820,142,16,20,18,19,9])).
% 1.60/1.66 cnf(880,plain,
% 1.60/1.66 (P1(f6(f6(a4)),x8801,x8801)),
% 1.60/1.66 inference(scs_inference,[],[59,866,873,61,867,874,638,860,774,820,142,16,20,18,19,9,8,7])).
% 1.60/1.66 cnf(886,plain,
% 1.60/1.66 (P1(f7(a4,a4),x8861,f7(a4,f7(x8861,a4)))),
% 1.60/1.66 inference(scs_inference,[],[59,61,324,90,16,18,20])).
% 1.60/1.66 cnf(888,plain,
% 1.60/1.66 (P1(f7(a4,a4),x8881,x8881)),
% 1.60/1.66 inference(rename_variables,[],[61])).
% 1.60/1.66 cnf(890,plain,
% 1.60/1.66 (P1(f7(a4,a4),f7(a4,a4),f6(f6(a4)))),
% 1.60/1.66 inference(scs_inference,[],[59,61,888,856,324,90,644,16,18,20,19])).
% 1.60/1.66 cnf(897,plain,
% 1.60/1.66 (E(f6(a4),f7(a4,f7(a4,a4)))),
% 1.60/1.66 inference(scs_inference,[],[59,71,63,61,888,869,856,324,351,689,90,644,16,18,20,19,9,8,3])).
% 1.60/1.66 cnf(898,plain,
% 1.60/1.66 (E(x8981,f7(a4,f7(x8981,a4)))),
% 1.60/1.66 inference(rename_variables,[],[869])).
% 1.60/1.66 cnf(899,plain,
% 1.60/1.66 (P1(f7(a4,f7(a2,a4)),a5,f6(a1))),
% 1.60/1.66 inference(scs_inference,[],[59,71,63,61,888,869,898,856,324,351,689,90,103,644,16,18,20,19,9,8,3,7])).
% 1.60/1.66 cnf(900,plain,
% 1.60/1.66 (E(x9001,f7(a4,f7(x9001,a4)))),
% 1.60/1.66 inference(rename_variables,[],[869])).
% 1.60/1.66 cnf(901,plain,
% 1.60/1.66 (E(f7(a4,f7(x9011,a4)),x9011)),
% 1.60/1.66 inference(scs_inference,[],[59,71,63,61,888,869,898,900,856,324,351,689,90,103,644,16,18,20,19,9,8,3,7,2])).
% 1.60/1.66 cnf(902,plain,
% 1.60/1.66 (P1(f7(a4,a4),f6(f6(a4)),f7(a4,a4))),
% 1.60/1.66 inference(scs_inference,[],[880,890,20])).
% 1.60/1.66 cnf(906,plain,
% 1.60/1.66 (P1(f7(a4,a4),x9061,x9061)),
% 1.60/1.66 inference(rename_variables,[],[61])).
% 1.60/1.66 cnf(911,plain,
% 1.60/1.66 (P1(f7(a4,a4),f7(f7(a4,a3),a4),f7(a1,a2))),
% 1.60/1.66 inference(scs_inference,[],[61,906,79,880,890,784,763,340,20,18,19,9])).
% 1.60/1.66 cnf(913,plain,
% 1.60/1.66 (~P1(f6(a3),f7(a4,f7(a1,a4)),f6(a2))),
% 1.60/1.66 inference(scs_inference,[],[61,906,79,66,880,890,784,901,763,340,20,18,19,9,8])).
% 1.60/1.66 cnf(914,plain,
% 1.60/1.66 (E(f7(a4,f7(x9141,a4)),x9141)),
% 1.60/1.66 inference(rename_variables,[],[901])).
% 1.60/1.66 cnf(915,plain,
% 1.60/1.66 (~P1(f7(a4,f7(a4,a4)),a4,f7(a3,a5))),
% 1.60/1.66 inference(scs_inference,[],[61,906,79,66,63,880,890,784,901,914,763,340,20,18,19,9,8,7])).
% 1.60/1.66 cnf(920,plain,
% 1.60/1.66 (E(x9201,f7(f7(a4,a4),x9201))),
% 1.60/1.66 inference(scs_inference,[],[61,16,18])).
% 1.60/1.66 cnf(923,plain,
% 1.60/1.66 (~P1(f7(a4,a4),f6(a3),a5)),
% 1.60/1.66 inference(scs_inference,[],[61,824,366,16,18,20])).
% 1.60/1.66 cnf(925,plain,
% 1.60/1.66 (P1(f7(a4,a4),x9251,x9251)),
% 1.60/1.66 inference(rename_variables,[],[61])).
% 1.60/1.66 cnf(932,plain,
% 1.60/1.66 (E(f7(x9321,a4),f7(f7(a4,a4),x9321))),
% 1.60/1.66 inference(rename_variables,[],[634])).
% 1.60/1.66 cnf(933,plain,
% 1.60/1.66 (P1(f7(a4,a4),f7(f7(a4,a4),f7(a4,a3)),f7(a1,a2))),
% 1.60/1.66 inference(scs_inference,[],[61,824,366,886,911,634,932,576,317,16,18,20,19,9,8])).
% 1.60/1.66 cnf(935,plain,
% 1.60/1.66 (~E(f7(a4,f7(a3,a4)),f6(a5))),
% 1.60/1.66 inference(scs_inference,[],[61,79,824,366,886,911,634,932,869,576,317,16,18,20,19,9,8,3])).
% 1.60/1.66 cnf(937,plain,
% 1.60/1.66 (P1(f7(f6(a4),f6(a4)),x9371,x9371)),
% 1.60/1.66 inference(scs_inference,[],[61,925,79,824,366,886,911,607,634,932,869,576,317,16,18,20,19,9,8,3,7])).
% 1.60/1.66 cnf(938,plain,
% 1.60/1.66 (E(f7(a4,f7(a4,a4)),f6(a4))),
% 1.60/1.66 inference(scs_inference,[],[61,925,79,824,366,886,911,897,607,634,932,869,576,317,16,18,20,19,9,8,3,7,2])).
% 1.60/1.66 cnf(940,plain,
% 1.60/1.66 (P1(f7(f6(a4),f6(a4)),x9401,x9401)),
% 1.60/1.66 inference(rename_variables,[],[937])).
% 1.60/1.66 cnf(943,plain,
% 1.60/1.66 (~P1(a4,f7(a4,a3),f6(a5))),
% 1.60/1.66 inference(scs_inference,[],[69,937,827,935,192,20,18])).
% 1.60/1.66 cnf(950,plain,
% 1.60/1.66 (E(f7(f7(x9501,a4),f7(a4,a4)),x9501)),
% 1.60/1.66 inference(rename_variables,[],[394])).
% 1.60/1.66 cnf(954,plain,
% 1.60/1.66 (E(x9541,f7(f7(a4,a4),x9541))),
% 1.60/1.66 inference(rename_variables,[],[920])).
% 1.60/1.66 cnf(955,plain,
% 1.60/1.66 (E(f7(a4,a4),f7(f7(a4,a4),f6(a4)))),
% 1.60/1.66 inference(scs_inference,[],[63,69,66,920,954,937,940,684,827,935,394,950,782,700,276,192,20,18,19,9,8,7,3])).
% 1.60/1.66 cnf(965,plain,
% 1.60/1.66 (P1(f7(f7(a4,a4),a4),f7(a4,a3),a3)),
% 1.60/1.66 inference(scs_inference,[],[80,69,902,915,842,824,937,317,18,20,19])).
% 1.60/1.66 cnf(966,plain,
% 1.60/1.66 (P1(a4,f7(x9661,a3),f7(x9661,f7(a3,a4)))),
% 1.60/1.66 inference(rename_variables,[],[69])).
% 1.60/1.66 cnf(971,plain,
% 1.60/1.66 (P1(a4,f7(a3,a3),f7(f7(a1,a2),f7(a3,a4)))),
% 1.60/1.66 inference(scs_inference,[],[80,69,966,66,902,915,842,824,937,473,121,317,18,20,19,8,9])).
% 1.60/1.66 cnf(977,plain,
% 1.60/1.66 (E(f7(f7(a4,a4),f6(a4)),f7(a4,a4))),
% 1.60/1.66 inference(scs_inference,[],[80,69,966,66,955,902,714,844,915,842,824,937,373,473,121,317,18,20,19,8,9,3,7,2])).
% 1.60/1.66 cnf(981,plain,
% 1.60/1.66 (E(f7(a1,a2),f7(f7(a4,a4),f7(a4,a3)))),
% 1.60/1.66 inference(scs_inference,[],[693,933,965,167,61,20,18])).
% 1.60/1.66 cnf(986,plain,
% 1.60/1.66 (P1(f7(f7(a4,a4),a4),f7(a4,a3),f7(a1,a2))),
% 1.60/1.66 inference(scs_inference,[],[82,693,933,818,965,902,167,61,20,18,19,9])).
% 1.60/1.66 cnf(987,plain,
% 1.60/1.66 (P1(f7(a4,a4),f7(f7(a4,a4),f7(x9871,a4)),x9871)),
% 1.60/1.66 inference(scs_inference,[],[82,693,933,818,965,920,902,731,167,61,20,18,19,9,8])).
% 1.60/1.66 cnf(989,plain,
% 1.60/1.66 (P1(f7(a1,a2),f6(f7(a4,a4)),a3)),
% 1.60/1.66 inference(scs_inference,[],[82,693,933,818,965,756,920,902,731,167,61,20,18,19,9,8,7])).
% 1.60/1.66 cnf(997,plain,
% 1.60/1.66 (~P1(f7(a4,a4),f7(a4,a3),f6(a5))),
% 1.60/1.66 inference(scs_inference,[],[71,987,656,935,20,18])).
% 1.60/1.66 cnf(1006,plain,
% 1.60/1.66 (E(a3,f7(f7(a4,a4),f7(a4,a3)))),
% 1.60/1.66 inference(scs_inference,[],[66,71,82,977,987,656,660,798,981,935,731,345,20,18,19,8,9,3])).
% 1.60/1.66 cnf(1007,plain,
% 1.60/1.66 (~E(f7(a1,a2),f6(a5))),
% 1.60/1.66 inference(scs_inference,[],[66,71,82,977,987,656,660,798,981,235,989,935,731,345,20,18,19,8,9,3,7])).
% 1.60/1.66 cnf(1008,plain,
% 1.60/1.66 (E(f7(a1,a2),a3)),
% 1.60/1.66 inference(scs_inference,[],[66,71,82,977,987,656,660,798,981,235,989,935,731,345,20,18,19,8,9,3,7,2])).
% 1.60/1.66 cnf(1009,plain,
% 1.60/1.66 (E(f6(f7(a1,a2)),f6(a3))),
% 1.60/1.66 inference(scs_inference,[],[66,71,82,977,987,656,660,798,981,235,989,935,731,345,20,18,19,8,9,3,7,2,4])).
% 1.60/1.66 cnf(1011,plain,
% 1.60/1.66 (~P1(f6(f6(a4)),f6(a5),a3)),
% 1.60/1.66 inference(scs_inference,[],[79,880,18])).
% 1.60/1.66 cnf(1012,plain,
% 1.60/1.66 (P1(f6(f6(a4)),x10121,x10121)),
% 1.60/1.66 inference(rename_variables,[],[880])).
% 1.60/1.66 cnf(1014,plain,
% 1.60/1.66 (P1(a4,f7(a4,a4),f6(a4))),
% 1.60/1.66 inference(scs_inference,[],[79,796,880,652,167,18,20])).
% 1.60/1.66 cnf(1019,plain,
% 1.60/1.66 (P1(f6(f6(a4)),x10191,x10191)),
% 1.60/1.66 inference(rename_variables,[],[880])).
% 1.60/1.66 cnf(1022,plain,
% 1.60/1.66 (P1(f6(f6(a4)),a3,f7(a1,a2))),
% 1.60/1.66 inference(scs_inference,[],[79,82,796,840,880,1012,1019,652,167,499,18,20,19,9])).
% 1.60/1.66 cnf(1027,plain,
% 1.60/1.66 (~E(f7(f6(a5),a4),f7(a1,a2))),
% 1.60/1.66 inference(scs_inference,[],[79,82,741,796,840,1009,923,1008,880,1012,1019,652,349,987,167,499,18,20,19,9,8,7,3])).
% 1.60/1.66 cnf(1029,plain,
% 1.60/1.66 (P1(a4,f7(a1,a2),f7(f7(a4,a4),f7(a3,a4)))),
% 1.60/1.66 inference(scs_inference,[],[814,986,680,20])).
% 1.60/1.66 cnf(1030,plain,
% 1.60/1.66 (P1(f7(a4,a4),f7(x10301,a3),f7(f7(x10301,a4),f7(a3,a4)))),
% 1.60/1.66 inference(rename_variables,[],[814])).
% 1.60/1.66 cnf(1033,plain,
% 1.60/1.66 (E(f7(f7(x10331,a4),f7(a3,a4)),f7(x10331,a3))),
% 1.60/1.66 inference(scs_inference,[],[814,1030,986,680,61,20,18])).
% 1.60/1.66 cnf(1036,plain,
% 1.60/1.66 (P1(a4,f7(a4,a4),f7(f6(a4),a4))),
% 1.60/1.66 inference(scs_inference,[],[814,1030,986,1014,680,761,702,61,20,18,19])).
% 1.60/1.66 cnf(1044,plain,
% 1.60/1.66 (P1(f6(a4),x10441,x10441)),
% 1.60/1.66 inference(scs_inference,[],[85,82,814,1030,938,986,1007,1014,680,491,761,920,702,824,61,20,18,19,9,8,3,7])).
% 1.60/1.66 cnf(1045,plain,
% 1.60/1.66 (E(f7(f7(a4,a4),f7(a4,a3)),a3)),
% 1.60/1.66 inference(scs_inference,[],[85,82,814,1030,938,986,1007,1014,1006,680,491,761,920,702,824,61,20,18,19,9,8,3,7,2])).
% 1.60/1.66 cnf(1047,plain,
% 1.60/1.66 (P1(f6(a4),x10471,x10471)),
% 1.60/1.66 inference(rename_variables,[],[1044])).
% 1.60/1.66 cnf(1049,plain,
% 1.60/1.66 (~P1(f6(f6(a4)),f7(a5,a4),f6(a3))),
% 1.60/1.66 inference(scs_inference,[],[77,1044,1047,531,706,18,20])).
% 1.60/1.66 cnf(1061,plain,
% 1.60/1.66 (E(f7(f7(a4,a4),f7(a4,a3)),f7(a1,a2))),
% 1.60/1.66 inference(scs_inference,[],[77,85,82,1033,1044,1047,997,1045,630,899,531,629,706,306,239,18,20,19,8,9,7,3])).
% 1.60/1.66 cnf(1064,plain,
% 1.60/1.66 (P1(f6(a4),x10641,x10641)),
% 1.60/1.66 inference(rename_variables,[],[1044])).
% 1.60/1.66 cnf(1068,plain,
% 1.60/1.66 (P1(f6(a4),x10681,x10681)),
% 1.60/1.66 inference(rename_variables,[],[1044])).
% 1.60/1.66 cnf(1079,plain,
% 1.60/1.66 (~P1(f6(f6(a4)),f7(a4,a3),f6(a5))),
% 1.60/1.66 inference(scs_inference,[],[77,80,82,674,785,943,164,726,1044,1064,1068,620,977,652,167,192,20,18,19,9,8,3,7])).
% 1.60/1.66 cnf(1085,plain,
% 1.60/1.66 (P1(f7(f7(x10851,a4),x10852),f7(a4,a4),f7(x10851,x10852))),
% 1.60/1.66 inference(rename_variables,[],[497])).
% 1.60/1.66 cnf(1091,plain,
% 1.60/1.66 (E(x10911,f7(f7(x10911,a4),f7(a4,a4)))),
% 1.60/1.66 inference(rename_variables,[],[370])).
% 1.60/1.66 cnf(1094,plain,
% 1.60/1.66 (P1(f7(a1,a2),f7(a4,a4),f7(a4,f7(a4,a3)))),
% 1.60/1.66 inference(scs_inference,[],[90,85,1061,1079,1036,890,933,656,497,1085,370,1091,179,18,20,19,8,9,7])).
% 1.60/1.66 cnf(1100,plain,
% 1.60/1.66 (P1(a4,f7(f7(x11001,a4),a4),f7(a4,x11001))),
% 1.60/1.66 inference(rename_variables,[],[739])).
% 1.60/1.66 cnf(1105,plain,
% 1.60/1.66 (P1(f7(f7(a4,a1),a4),a2,f7(a4,a3))),
% 1.60/1.66 inference(scs_inference,[],[89,90,79,876,739,1100,581,317,20,18,19])).
% 1.60/1.66 cnf(1125,plain,
% 1.60/1.66 (E(f7(a4,f7(x11251,a4)),x11251)),
% 1.60/1.66 inference(rename_variables,[],[901])).
% 1.60/1.66 cnf(1127,plain,
% 1.60/1.66 (E(a3,f7(f7(a4,a3),a4))),
% 1.60/1.66 inference(scs_inference,[],[79,82,135,768,1105,542,901,158,250,937,491,677,412,18,20,19,8,9,3])).
% 1.60/1.66 cnf(1128,plain,
% 1.60/1.66 (~P1(f7(a4,f7(a1,a4)),a2,f6(a5))),
% 1.60/1.66 inference(scs_inference,[],[79,82,135,768,1105,542,901,1125,158,250,937,491,677,412,18,20,19,8,9,3,7])).
% 1.60/1.66 cnf(1132,plain,
% 1.60/1.66 (P1(f7(x11321,f7(a4,x11322)),f7(a4,a4),f7(x11321,x11322))),
% 1.60/1.66 inference(rename_variables,[],[382])).
% 1.60/1.66 cnf(1142,plain,
% 1.60/1.66 (E(x11421,f7(f7(x11421,a4),a4))),
% 1.60/1.66 inference(rename_variables,[],[243])).
% 1.60/1.66 cnf(1149,plain,
% 1.60/1.66 (E(f7(a4,a3),f7(a1,a2))),
% 1.60/1.66 inference(scs_inference,[],[94,89,85,649,284,971,586,1128,886,181,382,1132,287,280,243,1142,12,20,18,19,9,8,7,3,2])).
% 1.60/1.66 cnf(1150,plain,
% 1.60/1.66 (~P1(a1,f7(a2,a4),f6(a5))),
% 1.60/1.66 inference(scs_inference,[],[79,96,18])).
% 1.60/1.66 cnf(1172,plain,
% 1.60/1.66 (P1(f7(f6(a1),a1),a2,a2)),
% 1.60/1.66 inference(scs_inference,[],[94,85,213,680,164,880,347,20,18,19])).
% 1.60/1.66 cnf(1179,plain,
% 1.60/1.66 (~E(f7(f6(a5),a4),f7(a4,a3))),
% 1.60/1.66 inference(scs_inference,[],[94,85,1027,1049,1127,913,213,1149,709,680,164,589,880,347,20,18,19,9,8,7,3])).
% 1.60/1.66 cnf(1191,plain,
% 1.60/1.66 (E(f7(x11911,x11912),f7(f7(a4,x11911),x11912))),
% 1.60/1.66 inference(rename_variables,[],[288])).
% 1.60/1.66 cnf(1192,plain,
% 1.60/1.66 (P1(f7(a1,a2),f7(a4,a4),f7(f7(a4,a4),f7(a4,a3)))),
% 1.60/1.66 inference(scs_inference,[],[89,96,1094,1029,1150,899,194,288,1191,347,12,18,20,19,8,9])).
% 1.60/1.66 cnf(1193,plain,
% 1.60/1.66 (E(f7(x11931,x11932),f7(f7(a4,x11931),x11932))),
% 1.60/1.66 inference(rename_variables,[],[288])).
% 1.60/1.66 cnf(1197,plain,
% 1.60/1.66 (~E(f7(a4,a3),f7(f6(a5),a4))),
% 1.60/1.66 inference(scs_inference,[],[80,89,96,1179,1094,1029,1150,1022,844,899,194,288,1191,1193,347,12,18,20,19,8,9,3,7,2])).
% 1.60/1.66 cnf(1218,plain,
% 1.60/1.66 (P1(f7(a4,a3),a4,f7(f7(a4,a4),f7(a4,a3)))),
% 1.60/1.66 inference(scs_inference,[],[1197,1192,763,761,557,18,20])).
% 1.60/1.66 cnf(1230,plain,
% 1.60/1.66 (~P1(f7(a1,a4),f7(a2,a4),f6(a5))),
% 1.60/1.66 inference(scs_inference,[],[96,1011,706,20])).
% 1.60/1.66 cnf(1287,plain,
% 1.60/1.66 ($false),
% 1.60/1.66 inference(scs_inference,[],[103,96,1230,1172,1218,697,268,206,644,11,18,20,19,8,9]),
% 1.60/1.66 ['proof']).
% 1.60/1.66 % SZS output end Proof
% 1.60/1.66 % Total time :0.990000s
%------------------------------------------------------------------------------