TSTP Solution File: GRP001-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : 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 00:10:28 EDT 2023
% Result : Unsatisfiable 1.43s 1.50s
% Output : CNFRefutation 1.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 01:00:55 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 1.43/1.49 %-------------------------------------------
% 1.43/1.49 % File :CSE---1.6
% 1.43/1.49 % Problem :theBenchmark
% 1.43/1.49 % Transform :cnf
% 1.43/1.49 % Format :tptp:raw
% 1.43/1.49 % Command :java -jar mcs_scs.jar %d %s
% 1.43/1.49
% 1.43/1.49 % Result :Theorem 0.880000s
% 1.43/1.49 % Output :CNFRefutation 0.880000s
% 1.43/1.49 %-------------------------------------------
% 1.43/1.49 %------------------------------------------------------------------------------
% 1.43/1.49 % File : GRP001-1 : TPTP v8.1.2. Released v1.0.0.
% 1.43/1.49 % Domain : Group Theory
% 1.43/1.49 % Problem : X^2 = identity => commutativity
% 1.43/1.49 % Version : [MOW76] axioms.
% 1.43/1.49 % English : If the square of every element is the identity, the system
% 1.43/1.49 % is commutative.
% 1.43/1.49
% 1.43/1.49 % Refs : [Rob63] Robinson (1963), Theorem Proving on the Computer
% 1.43/1.49 % : [Wos65] Wos (1965), Unpublished Note
% 1.43/1.49 % : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 1.43/1.49 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 1.43/1.49 % : [Ove90] Overbeek (1990), ATP competition announced at CADE-10
% 1.43/1.49 % : [Ove93] Overbeek (1993), The CADE-11 Competitions: A Personal
% 1.43/1.49 % : [LM93] Lusk & McCune (1993), Uniform Strategies: The CADE-11
% 1.43/1.49 % Source : [MOW76]
% 1.43/1.49 % Names : - [Rob63]
% 1.43/1.49 % : wos10 [WM76]
% 1.43/1.49 % : G1 [MOW76]
% 1.43/1.49 % : CADE-11 Competition 1 [Ove90]
% 1.43/1.49 % : THEOREM 1 [LM93]
% 1.43/1.49 % : xsquared.ver1.in [ANL]
% 1.43/1.49
% 1.43/1.49 % Status : Unsatisfiable
% 1.43/1.49 % Rating : 0.00 v5.5.0, 0.06 v5.4.0, 0.07 v5.3.0, 0.17 v5.2.0, 0.00 v2.0.0
% 1.43/1.49 % Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 5 RR)
% 1.43/1.49 % Number of literals : 19 ( 1 equ; 9 neg)
% 1.43/1.49 % Maximal clause size : 4 ( 1 avg)
% 1.43/1.49 % Maximal term depth : 2 ( 1 avg)
% 1.43/1.49 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 1.43/1.49 % Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% 1.43/1.49 % Number of variables : 23 ( 0 sgn)
% 1.43/1.49 % SPC : CNF_UNS_RFO_SEQ_HRN
% 1.43/1.49
% 1.43/1.49 % Comments :
% 1.43/1.49 %------------------------------------------------------------------------------
% 1.43/1.49 %----Include group theory axioms
% 1.43/1.49 include('Axioms/GRP003-0.ax').
% 1.43/1.49 %------------------------------------------------------------------------------
% 1.43/1.49 cnf(square_element,hypothesis,
% 1.43/1.49 product(X,X,identity) ).
% 1.43/1.49
% 1.43/1.49 cnf(a_times_b_is_c,negated_conjecture,
% 1.43/1.49 product(a,b,c) ).
% 1.43/1.49
% 1.43/1.49 cnf(prove_b_times_a_is_c,negated_conjecture,
% 1.43/1.50 ~ product(b,a,c) ).
% 1.43/1.50
% 1.43/1.50 %------------------------------------------------------------------------------
% 1.43/1.50 %-------------------------------------------
% 1.43/1.50 % Proof found
% 1.43/1.50 % SZS status Theorem for theBenchmark
% 1.43/1.50 % SZS output start Proof
% 1.43/1.50 %ClaNum:20(EqnAxiom:9)
% 1.43/1.50 %VarNum:46(SingletonVarNum:23)
% 1.43/1.50 %MaxLitNum:4
% 1.43/1.50 %MaxfuncDepth:1
% 1.43/1.50 %SharedTerms:6
% 1.43/1.50 %goalClause: 10 17
% 1.43/1.50 %singleGoalClaCount:2
% 1.43/1.50 [10]P1(a1,a2,a3)
% 1.43/1.50 [17]~P1(a2,a1,a3)
% 1.43/1.50 [11]P1(x111,x111,a4)
% 1.43/1.50 [12]P1(x121,a4,x121)
% 1.43/1.50 [13]P1(a4,x131,x131)
% 1.43/1.50 [14]P1(x141,f5(x141),a4)
% 1.43/1.50 [15]P1(f5(x151),x151,a4)
% 1.43/1.50 [16]P1(x161,x162,f6(x161,x162))
% 1.43/1.50 [18]~P1(x183,x184,x181)+E(x181,x182)+~P1(x183,x184,x182)
% 1.43/1.50 [19]~P1(x196,x194,x191)+P1(x191,x192,x193)+~P1(x194,x192,x195)+~P1(x196,x195,x193)
% 1.43/1.50 [20]~P1(x201,x206,x204)+P1(x201,x202,x203)+~P1(x204,x205,x203)+~P1(x206,x205,x202)
% 1.43/1.50 %EqnAxiom
% 1.43/1.50 [1]E(x11,x11)
% 1.43/1.50 [2]E(x22,x21)+~E(x21,x22)
% 1.43/1.50 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.43/1.50 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 1.43/1.50 [5]~E(x51,x52)+E(f6(x51,x53),f6(x52,x53))
% 1.43/1.50 [6]~E(x61,x62)+E(f6(x63,x61),f6(x63,x62))
% 1.43/1.50 [7]P1(x72,x73,x74)+~E(x71,x72)+~P1(x71,x73,x74)
% 1.43/1.50 [8]P1(x83,x82,x84)+~E(x81,x82)+~P1(x83,x81,x84)
% 1.43/1.50 [9]P1(x93,x94,x92)+~E(x91,x92)+~P1(x93,x94,x91)
% 1.43/1.50
% 1.43/1.50 %-------------------------------------------
% 1.43/1.50 cnf(21,plain,
% 1.43/1.50 (~E(f6(a2,a1),a3)),
% 1.43/1.50 inference(scs_inference,[],[17,16,9])).
% 1.43/1.50 cnf(22,plain,
% 1.43/1.50 (P1(x221,x222,f6(x221,x222))),
% 1.43/1.50 inference(rename_variables,[],[16])).
% 1.43/1.50 cnf(23,plain,
% 1.43/1.50 (E(a3,f6(a1,a2))),
% 1.43/1.50 inference(scs_inference,[],[10,17,16,22,9,18])).
% 1.43/1.50 cnf(26,plain,
% 1.43/1.50 (P1(a1,a3,a2)),
% 1.43/1.50 inference(scs_inference,[],[10,11,13,17,16,22,9,18,20])).
% 1.43/1.50 cnf(27,plain,
% 1.43/1.50 (P1(x271,x271,a4)),
% 1.43/1.50 inference(rename_variables,[],[11])).
% 1.43/1.50 cnf(30,plain,
% 1.43/1.50 (P1(a3,a2,a1)),
% 1.43/1.50 inference(scs_inference,[],[10,11,27,12,13,17,16,22,9,18,20,19])).
% 1.43/1.50 cnf(34,plain,
% 1.43/1.50 (~E(a3,f6(a2,a1))),
% 1.43/1.50 inference(scs_inference,[],[10,11,27,12,13,17,16,22,9,18,20,19,2])).
% 1.43/1.50 cnf(35,plain,
% 1.43/1.50 (E(f6(x351,a3),f6(x351,f6(a1,a2)))),
% 1.43/1.50 inference(scs_inference,[],[10,11,27,12,13,17,16,22,9,18,20,19,2,6])).
% 1.43/1.50 cnf(36,plain,
% 1.43/1.50 (E(f6(a3,x361),f6(f6(a1,a2),x361))),
% 1.43/1.50 inference(scs_inference,[],[10,11,27,12,13,17,16,22,9,18,20,19,2,6,5])).
% 1.43/1.50 cnf(37,plain,
% 1.43/1.50 (E(f5(a3),f5(f6(a1,a2)))),
% 1.43/1.50 inference(scs_inference,[],[10,11,27,12,13,17,16,22,9,18,20,19,2,6,5,4])).
% 1.43/1.50 cnf(38,plain,
% 1.43/1.50 (~P1(a2,x381,a3)+~E(x381,a1)),
% 1.43/1.50 inference(scs_inference,[],[10,11,27,12,13,17,16,22,9,18,20,19,2,6,5,4,8])).
% 1.43/1.50 cnf(39,plain,
% 1.43/1.50 (~E(a1,a2)+~E(a2,a1)),
% 1.43/1.50 inference(scs_inference,[],[10,11,27,12,13,17,16,22,9,18,20,19,2,6,5,4,8,7])).
% 1.43/1.50 cnf(42,plain,
% 1.43/1.50 (~P1(a1,a2,f6(a2,a1))),
% 1.43/1.50 inference(scs_inference,[],[10,34,18])).
% 1.43/1.50 cnf(44,plain,
% 1.43/1.50 (~P1(a3,a4,f6(a2,a1))),
% 1.43/1.50 inference(scs_inference,[],[10,12,34,18,20])).
% 1.43/1.50 cnf(45,plain,
% 1.43/1.50 (P1(x451,a4,x451)),
% 1.43/1.50 inference(rename_variables,[],[12])).
% 1.43/1.51 cnf(47,plain,
% 1.43/1.51 (E(f6(f6(a1,a2),x471),f6(a3,x471))),
% 1.43/1.51 inference(scs_inference,[],[10,12,36,34,18,20,2])).
% 1.43/1.51 cnf(48,plain,
% 1.43/1.51 (P1(a3,f5(f6(a1,a2)),a4)),
% 1.43/1.51 inference(scs_inference,[],[10,14,12,36,37,34,18,20,2,8])).
% 1.43/1.51 cnf(49,plain,
% 1.43/1.51 (P1(x491,f5(x491),a4)),
% 1.43/1.51 inference(rename_variables,[],[14])).
% 1.43/1.51 cnf(50,plain,
% 1.43/1.51 (P1(f6(a1,a2),f5(a3),a4)),
% 1.43/1.51 inference(scs_inference,[],[10,14,49,12,36,37,34,23,18,20,2,8,7])).
% 1.43/1.51 cnf(52,plain,
% 1.43/1.51 (E(f6(a3,a3),f6(f6(a1,a2),f6(a1,a2)))),
% 1.43/1.51 inference(scs_inference,[],[10,14,49,12,36,35,37,34,23,18,20,2,8,7,3])).
% 1.43/1.51 cnf(53,plain,
% 1.43/1.51 (E(f6(a3,x531),f6(f6(a1,a2),x531))),
% 1.43/1.51 inference(rename_variables,[],[36])).
% 1.43/1.51 cnf(55,plain,
% 1.43/1.51 (P1(a4,a2,f6(f5(a1),a3))),
% 1.43/1.51 inference(scs_inference,[],[10,14,49,15,12,16,36,35,37,34,23,18,20,2,8,7,3,19])).
% 1.43/1.51 cnf(59,plain,
% 1.43/1.51 (P1(f6(a3,x591),a4,f6(f6(a1,a2),x591))),
% 1.43/1.51 inference(scs_inference,[],[10,14,49,15,12,45,16,36,53,35,37,34,23,18,20,2,8,7,3,19,9])).
% 1.43/1.51 cnf(61,plain,
% 1.43/1.51 (~P1(a2,a3,a1)),
% 1.43/1.51 inference(scs_inference,[],[17,11,13,20])).
% 1.43/1.51 cnf(62,plain,
% 1.43/1.51 (P1(a4,x621,x621)),
% 1.43/1.51 inference(rename_variables,[],[13])).
% 1.43/1.51 cnf(63,plain,
% 1.43/1.51 (P1(x631,x631,a4)),
% 1.43/1.51 inference(rename_variables,[],[11])).
% 1.43/1.51 cnf(65,plain,
% 1.43/1.51 (~P1(a4,a3,f6(a2,a1))),
% 1.43/1.51 inference(scs_inference,[],[17,21,11,13,62,20,18])).
% 1.43/1.51 cnf(68,plain,
% 1.43/1.51 (~P1(a3,a1,a2)),
% 1.43/1.51 inference(scs_inference,[],[17,21,11,63,13,62,12,20,18,19])).
% 1.43/1.51 cnf(69,plain,
% 1.43/1.51 (P1(x691,x691,a4)),
% 1.43/1.51 inference(rename_variables,[],[11])).
% 1.43/1.51 cnf(72,plain,
% 1.43/1.51 (P1(f6(a3,x721),f6(f6(a1,a2),x721),a4)),
% 1.43/1.51 inference(scs_inference,[],[17,21,11,63,69,13,62,12,47,20,18,19,7])).
% 1.43/1.51 cnf(73,plain,
% 1.43/1.51 (P1(x731,x731,a4)),
% 1.43/1.51 inference(rename_variables,[],[11])).
% 1.43/1.51 cnf(74,plain,
% 1.43/1.51 (P1(f6(f6(a1,a2),x741),f6(a3,x741),a4)),
% 1.43/1.51 inference(scs_inference,[],[17,21,11,63,69,73,13,62,12,47,20,18,19,7,8])).
% 1.43/1.51 cnf(76,plain,
% 1.43/1.51 (~E(f6(a1,a2),f6(a2,a1))),
% 1.43/1.51 inference(scs_inference,[],[17,21,11,63,69,73,13,62,12,16,42,47,20,18,19,7,8,9])).
% 1.43/1.51 cnf(78,plain,
% 1.43/1.51 (E(f6(f6(a1,a2),f6(a1,a2)),f6(a3,a3))),
% 1.43/1.51 inference(scs_inference,[],[17,21,11,63,69,73,13,62,12,16,42,47,52,20,18,19,7,8,9,2])).
% 1.43/1.51 cnf(81,plain,
% 1.43/1.51 (E(a4,f5(a4))),
% 1.43/1.51 inference(scs_inference,[],[14,13,18])).
% 1.43/1.51 cnf(83,plain,
% 1.43/1.51 (P1(x831,f5(x831),a4)),
% 1.43/1.51 inference(rename_variables,[],[14])).
% 1.43/1.51 cnf(86,plain,
% 1.43/1.51 (P1(f5(x861),x861,a4)),
% 1.43/1.51 inference(rename_variables,[],[15])).
% 1.43/1.51 cnf(87,plain,
% 1.43/1.51 (P1(x871,f5(x871),a4)),
% 1.43/1.51 inference(rename_variables,[],[14])).
% 1.43/1.51 cnf(90,plain,
% 1.43/1.51 (P1(a4,f5(f5(a4)),a4)),
% 1.43/1.51 inference(scs_inference,[],[14,83,87,15,86,11,13,12,18,20,19])).
% 1.43/1.51 cnf(92,plain,
% 1.43/1.51 (P1(f5(x921),x921,a4)),
% 1.43/1.51 inference(rename_variables,[],[15])).
% 1.43/1.51 cnf(93,plain,
% 1.43/1.51 (P1(x931,f5(x931),a4)),
% 1.43/1.51 inference(rename_variables,[],[14])).
% 1.43/1.51 cnf(95,plain,
% 1.43/1.51 (~E(f6(a2,a1),f6(a1,a2))),
% 1.43/1.51 inference(scs_inference,[],[14,83,87,15,86,11,13,12,76,18,20,19,2])).
% 1.43/1.51 cnf(96,plain,
% 1.43/1.51 (P1(x961,f5(x961),f5(a4))),
% 1.43/1.51 inference(scs_inference,[],[14,83,87,93,15,86,11,13,12,76,18,20,19,2,9])).
% 1.43/1.51 cnf(97,plain,
% 1.43/1.51 (P1(f5(a3),f6(a1,a2),a4)),
% 1.43/1.51 inference(scs_inference,[],[14,83,87,93,15,86,92,11,13,12,76,23,18,20,19,2,9,8])).
% 1.43/1.51 cnf(98,plain,
% 1.43/1.51 (P1(f5(x981),x981,a4)),
% 1.43/1.51 inference(rename_variables,[],[15])).
% 1.43/1.51 cnf(99,plain,
% 1.43/1.51 (~E(f5(f6(a1,a2)),x991)+E(f5(a3),x991)),
% 1.43/1.51 inference(scs_inference,[],[14,83,87,93,15,86,92,11,13,12,76,23,37,18,20,19,2,9,8,3])).
% 1.43/1.51 cnf(100,plain,
% 1.43/1.51 (P1(f5(f6(a1,a2)),a3,a4)),
% 1.43/1.51 inference(scs_inference,[],[14,83,87,93,15,86,92,98,11,13,12,76,23,37,18,20,19,2,9,8,3,7])).
% 1.43/1.51 cnf(103,plain,
% 1.43/1.51 (~P1(a4,f5(a3),f6(a2,a1))),
% 1.43/1.51 inference(scs_inference,[],[11,14,44,20])).
% 1.43/1.51 cnf(104,plain,
% 1.43/1.51 (P1(x1041,f5(x1041),a4)),
% 1.43/1.51 inference(rename_variables,[],[14])).
% 1.43/1.51 cnf(105,plain,
% 1.43/1.51 (P1(x1051,x1051,a4)),
% 1.43/1.51 inference(rename_variables,[],[11])).
% 1.43/1.51 cnf(107,plain,
% 1.43/1.51 (~P1(f6(a2,a1),a3,a4)),
% 1.43/1.51 inference(scs_inference,[],[11,105,14,12,65,44,20,19])).
% 1.43/1.51 cnf(109,plain,
% 1.43/1.51 (P1(x1091,x1091,a4)),
% 1.43/1.51 inference(rename_variables,[],[11])).
% 1.43/1.51 cnf(111,plain,
% 1.43/1.51 (~P1(a4,f6(a2,a1),a3)),
% 1.43/1.51 inference(scs_inference,[],[11,105,21,14,13,12,65,44,20,19,18])).
% 1.43/1.51 cnf(112,plain,
% 1.43/1.51 (P1(a4,x1121,x1121)),
% 1.43/1.51 inference(rename_variables,[],[13])).
% 1.43/1.51 cnf(114,plain,
% 1.43/1.51 (E(f6(a1,a2),a3)),
% 1.43/1.51 inference(scs_inference,[],[11,105,21,23,14,13,12,65,44,20,19,18,2])).
% 1.43/1.51 cnf(115,plain,
% 1.43/1.51 (~E(f5(f6(a2,a1)),a3)),
% 1.43/1.51 inference(scs_inference,[],[11,105,21,23,14,104,13,12,65,44,20,19,18,2,8])).
% 1.43/1.51 cnf(117,plain,
% 1.43/1.51 (P1(a4,a3,f6(a1,a2))),
% 1.43/1.51 inference(scs_inference,[],[11,105,21,23,14,104,13,112,12,65,44,20,19,18,2,8,9])).
% 1.43/1.51 cnf(119,plain,
% 1.43/1.51 (E(f6(a4,x1191),f6(f5(a4),x1191))),
% 1.43/1.51 inference(scs_inference,[],[11,105,21,23,14,104,13,112,12,65,44,81,20,19,18,2,8,9,5])).
% 1.43/1.51 cnf(120,plain,
% 1.43/1.51 (E(f5(a4),f5(f5(a4)))),
% 1.43/1.51 inference(scs_inference,[],[11,105,21,23,14,104,13,112,12,65,44,81,20,19,18,2,8,9,5,4])).
% 1.43/1.51 cnf(121,plain,
% 1.43/1.51 (E(f6(x1211,a4),f6(x1211,f5(a4)))),
% 1.43/1.51 inference(scs_inference,[],[11,105,21,23,14,104,13,112,12,65,44,81,20,19,18,2,8,9,5,4,6])).
% 1.43/1.51 cnf(122,plain,
% 1.43/1.51 (P1(f6(a1,a2),a3,a4)),
% 1.43/1.51 inference(scs_inference,[],[11,105,109,21,23,14,104,13,112,12,65,44,81,20,19,18,2,8,9,5,4,6,7])).
% 1.43/1.51 cnf(124,plain,
% 1.43/1.51 (E(x1241,f5(a4))+~E(x1241,a4)),
% 1.43/1.51 inference(scs_inference,[],[11,105,109,21,23,14,104,13,112,12,65,44,81,20,19,18,2,8,9,5,4,6,7,3])).
% 1.43/1.51 cnf(126,plain,
% 1.43/1.51 (~P1(f5(a3),a4,f6(a2,a1))),
% 1.43/1.51 inference(scs_inference,[],[11,103,19])).
% 1.43/1.51 cnf(130,plain,
% 1.43/1.51 (~P1(a4,a3,f5(f6(a2,a1)))),
% 1.43/1.51 inference(scs_inference,[],[11,13,115,103,19,18])).
% 1.43/1.51 cnf(131,plain,
% 1.43/1.51 (P1(a4,x1311,x1311)),
% 1.43/1.51 inference(rename_variables,[],[13])).
% 1.43/1.51 cnf(133,plain,
% 1.43/1.51 (~P1(a3,f6(a2,a1),a4)),
% 1.43/1.51 inference(scs_inference,[],[11,15,13,131,115,103,19,18,20])).
% 1.43/1.51 cnf(138,plain,
% 1.43/1.51 (~E(f5(f6(a2,a1)),f6(a1,a2))),
% 1.43/1.51 inference(scs_inference,[],[11,15,13,131,114,115,103,68,19,18,20,7,3])).
% 1.43/1.51 cnf(139,plain,
% 1.43/1.51 (~P1(a2,f6(a1,a2),a1)),
% 1.43/1.51 inference(scs_inference,[],[11,15,13,131,61,114,115,103,68,19,18,20,7,3,8])).
% 1.43/1.51 cnf(141,plain,
% 1.43/1.51 (~E(f6(a2,a3),a1)),
% 1.43/1.51 inference(scs_inference,[],[11,15,16,13,131,61,114,115,103,68,19,18,20,7,3,8,2,9])).
% 1.43/1.51 cnf(143,plain,
% 1.43/1.51 (E(f5(a4),a4)),
% 1.43/1.51 inference(scs_inference,[],[12,15,18])).
% 1.43/1.51 cnf(144,plain,
% 1.43/1.51 (P1(f5(x1441),x1441,a4)),
% 1.43/1.51 inference(rename_variables,[],[15])).
% 1.43/1.51 cnf(145,plain,
% 1.43/1.51 (P1(x1451,a4,x1451)),
% 1.43/1.51 inference(rename_variables,[],[12])).
% 1.43/1.51 cnf(147,plain,
% 1.43/1.51 (~P1(f5(a3),f5(a4),f6(a2,a1))),
% 1.43/1.51 inference(scs_inference,[],[12,145,15,144,126,18,20])).
% 1.43/1.51 cnf(148,plain,
% 1.43/1.51 (P1(x1481,a4,x1481)),
% 1.43/1.51 inference(rename_variables,[],[12])).
% 1.43/1.51 cnf(152,plain,
% 1.43/1.51 (P1(x1521,a4,x1521)),
% 1.43/1.51 inference(rename_variables,[],[12])).
% 1.43/1.51 cnf(155,plain,
% 1.43/1.51 (E(f6(a4,a4),f6(f5(a4),f5(a4)))),
% 1.43/1.51 inference(scs_inference,[],[12,145,148,15,144,16,119,121,126,18,20,19,3])).
% 1.43/1.51 cnf(156,plain,
% 1.43/1.51 (E(f6(a4,x1561),f6(f5(a4),x1561))),
% 1.43/1.51 inference(rename_variables,[],[119])).
% 1.43/1.51 cnf(158,plain,
% 1.43/1.51 (E(f6(f5(a4),x1581),f6(a4,x1581))),
% 1.43/1.51 inference(scs_inference,[],[12,145,148,15,144,16,119,156,121,126,18,20,19,3,2])).
% 1.43/1.51 cnf(159,plain,
% 1.43/1.51 (P1(f6(a1,a2),a4,a3)),
% 1.43/1.51 inference(scs_inference,[],[12,145,148,152,15,144,16,23,119,156,121,126,18,20,19,3,2,7])).
% 1.43/1.51 cnf(160,plain,
% 1.43/1.51 (P1(x1601,a4,x1601)),
% 1.43/1.51 inference(rename_variables,[],[12])).
% 1.43/1.51 cnf(161,plain,
% 1.43/1.51 (P1(a1,f6(a1,a2),a2)),
% 1.43/1.51 inference(scs_inference,[],[12,145,148,152,26,15,144,16,23,119,156,121,126,18,20,19,3,2,7,8])).
% 1.43/1.51 cnf(162,plain,
% 1.43/1.51 (P1(a3,a4,f6(a1,a2))),
% 1.43/1.51 inference(scs_inference,[],[12,145,148,152,160,26,15,144,16,23,119,156,121,126,18,20,19,3,2,7,8,9])).
% 1.43/1.51 cnf(164,plain,
% 1.43/1.51 (P1(a4,a4,f5(a4))),
% 1.43/1.51 inference(scs_inference,[],[12,14,96,20])).
% 1.43/1.51 cnf(167,plain,
% 1.43/1.51 (P1(x1671,a4,x1671)),
% 1.43/1.51 inference(rename_variables,[],[12])).
% 1.43/1.51 cnf(173,plain,
% 1.43/1.51 (~P1(f6(a2,a1),a4,a3)),
% 1.43/1.51 inference(scs_inference,[],[12,167,26,21,14,15,16,96,20,19,18])).
% 1.43/1.51 cnf(174,plain,
% 1.43/1.51 (P1(x1741,a4,x1741)),
% 1.43/1.51 inference(rename_variables,[],[12])).
% 1.43/1.51 cnf(177,plain,
% 1.43/1.51 (E(a4,f5(f5(a4)))),
% 1.43/1.51 inference(scs_inference,[],[12,167,26,21,14,15,16,138,96,120,81,20,19,18,2,3])).
% 1.43/1.51 cnf(178,plain,
% 1.43/1.51 (P1(x1781,f5(a4),x1781)),
% 1.43/1.51 inference(scs_inference,[],[12,167,174,26,21,14,15,16,138,96,120,81,20,19,18,2,3,8])).
% 1.43/1.51 cnf(179,plain,
% 1.43/1.51 (P1(f6(f5(a4),x1791),a4,f6(a4,x1791))),
% 1.43/1.51 inference(scs_inference,[],[12,167,174,26,21,14,15,16,138,96,158,120,81,20,19,18,2,3,8,9])).
% 1.43/1.51 cnf(180,plain,
% 1.43/1.51 (P1(x1801,a4,x1801)),
% 1.43/1.51 inference(rename_variables,[],[12])).
% 1.43/1.51 cnf(181,plain,
% 1.43/1.51 (P1(f6(a4,x1811),a4,f6(f5(a4),x1811))),
% 1.43/1.51 inference(scs_inference,[],[12,167,174,180,26,21,14,15,16,138,96,158,120,81,20,19,18,2,3,8,9,7])).
% 1.43/1.51 cnf(183,plain,
% 1.43/1.51 (~P1(f6(a2,a1),a3,f5(a4))),
% 1.43/1.51 inference(scs_inference,[],[13,14,107,19])).
% 1.43/1.51 cnf(185,plain,
% 1.48/1.51 (P1(a4,x1851,x1851)),
% 1.48/1.51 inference(rename_variables,[],[13])).
% 1.48/1.51 cnf(187,plain,
% 1.48/1.51 (~P1(a4,f6(a1,a2),f6(a2,a1))),
% 1.48/1.51 inference(scs_inference,[],[13,185,14,95,107,19,18])).
% 1.48/1.51 cnf(188,plain,
% 1.48/1.51 (P1(a4,x1881,x1881)),
% 1.48/1.51 inference(rename_variables,[],[13])).
% 1.48/1.51 cnf(191,plain,
% 1.48/1.51 (P1(x1911,f5(a4),x1911)),
% 1.48/1.51 inference(rename_variables,[],[178])).
% 1.48/1.51 cnf(194,plain,
% 1.48/1.51 (~E(f6(a2,f6(a1,a2)),a1)),
% 1.48/1.51 inference(scs_inference,[],[13,185,188,14,95,178,141,130,107,35,19,18,20,3])).
% 1.48/1.51 cnf(196,plain,
% 1.48/1.51 (~E(f6(f5(a3),f5(a4)),f6(a2,a1))),
% 1.48/1.51 inference(scs_inference,[],[13,185,188,14,16,95,178,147,141,130,107,35,19,18,20,3,9])).
% 1.48/1.51 cnf(198,plain,
% 1.48/1.51 (~E(f6(a2,a1),f5(a3))),
% 1.48/1.51 inference(scs_inference,[],[13,185,188,14,16,95,178,191,147,141,130,107,35,19,18,20,3,9,7])).
% 1.48/1.51 cnf(200,plain,
% 1.48/1.51 (E(f6(f5(a4),f5(a4)),f6(a4,a4))),
% 1.48/1.51 inference(scs_inference,[],[13,185,188,14,16,95,178,191,147,141,155,130,107,35,19,18,20,3,9,7,2])).
% 1.48/1.51 cnf(201,plain,
% 1.48/1.51 (~P1(a4,f6(a1,a2),f5(f6(a2,a1)))),
% 1.48/1.51 inference(scs_inference,[],[13,185,188,14,16,95,178,191,147,141,155,130,107,35,114,19,18,20,3,9,7,2,8])).
% 1.48/1.51 cnf(202,plain,
% 1.48/1.51 (E(f5(f5(a4)),f5(a4))),
% 1.48/1.51 inference(scs_inference,[],[13,185,188,14,16,95,178,191,147,141,155,130,107,143,35,114,19,18,20,3,9,7,2,8,4])).
% 1.48/1.51 cnf(203,plain,
% 1.48/1.51 (E(f6(x2031,f5(a4)),f6(x2031,a4))),
% 1.48/1.51 inference(scs_inference,[],[13,185,188,14,16,95,178,191,147,141,155,130,107,143,35,114,19,18,20,3,9,7,2,8,4,6])).
% 1.48/1.51 cnf(204,plain,
% 1.48/1.51 (E(x2041,f6(a4,x2041))),
% 1.48/1.51 inference(scs_inference,[],[13,16,18])).
% 1.48/1.51 cnf(205,plain,
% 1.48/1.51 (P1(x2051,x2052,f6(x2051,x2052))),
% 1.48/1.51 inference(rename_variables,[],[16])).
% 1.48/1.51 cnf(207,plain,
% 1.48/1.51 (~P1(f5(f6(a2,a1)),f5(a4),f6(a1,a2))),
% 1.48/1.51 inference(scs_inference,[],[13,16,201,178,18,20])).
% 1.48/1.51 cnf(208,plain,
% 1.48/1.51 (P1(a4,x2081,x2081)),
% 1.48/1.51 inference(rename_variables,[],[13])).
% 1.48/1.51 cnf(211,plain,
% 1.48/1.51 (~P1(a3,f6(a2,a2),f6(a2,a1))),
% 1.48/1.51 inference(scs_inference,[],[13,30,16,205,201,42,178,18,20,19])).
% 1.48/1.51 cnf(214,plain,
% 1.48/1.51 (P1(x2141,f5(x2141),f5(f5(a4)))),
% 1.48/1.51 inference(scs_inference,[],[13,30,14,16,205,201,177,42,178,18,20,19,9])).
% 1.48/1.51 cnf(215,plain,
% 1.48/1.51 (~E(f6(a2,a1),f6(f5(a3),f5(a4)))),
% 1.48/1.51 inference(scs_inference,[],[13,30,14,16,205,196,201,177,42,178,18,20,19,9,2])).
% 1.48/1.52 cnf(216,plain,
% 1.48/1.52 (E(f6(f6(a1,a2),f5(a4)),f6(a3,a4))),
% 1.48/1.52 inference(scs_inference,[],[13,30,14,16,205,196,203,201,177,42,178,47,18,20,19,9,2,3])).
% 1.48/1.52 cnf(219,plain,
% 1.48/1.52 (P1(a4,f6(a1,a2),a3)),
% 1.48/1.52 inference(scs_inference,[],[13,208,30,14,16,205,23,196,203,201,177,42,178,47,18,20,19,9,2,3,8])).
% 1.48/1.52 cnf(220,plain,
% 1.48/1.52 (P1(a4,x2201,x2201)),
% 1.48/1.52 inference(rename_variables,[],[13])).
% 1.48/1.52 cnf(221,plain,
% 1.48/1.52 (P1(f5(f5(a4)),x2211,x2211)),
% 1.48/1.52 inference(scs_inference,[],[13,208,220,30,14,16,205,23,196,203,201,177,42,178,47,18,20,19,9,2,3,8,7])).
% 1.48/1.52 cnf(226,plain,
% 1.48/1.52 (~P1(a3,a4,f5(f6(a2,a1)))),
% 1.48/1.52 inference(scs_inference,[],[14,16,162,207,187,13,20,19])).
% 1.48/1.52 cnf(227,plain,
% 1.48/1.52 (P1(x2271,f5(x2271),a4)),
% 1.48/1.52 inference(rename_variables,[],[14])).
% 1.48/1.52 cnf(229,plain,
% 1.48/1.52 (E(f5(f5(a4)),a4)),
% 1.48/1.52 inference(scs_inference,[],[14,227,16,162,214,207,187,13,20,19,18])).
% 1.48/1.52 cnf(232,plain,
% 1.48/1.52 (E(f6(a4,x2321),x2321)),
% 1.48/1.52 inference(scs_inference,[],[14,227,16,162,214,204,207,187,13,20,19,18,2])).
% 1.48/1.52 cnf(233,plain,
% 1.48/1.52 (~E(f5(a3),f6(a2,a1))),
% 1.48/1.52 inference(scs_inference,[],[14,227,16,162,214,204,207,187,133,13,20,19,18,2,8])).
% 1.48/1.52 cnf(234,plain,
% 1.48/1.52 (P1(x2341,f5(x2341),a4)),
% 1.48/1.52 inference(rename_variables,[],[14])).
% 1.48/1.52 cnf(236,plain,
% 1.48/1.52 (P1(f6(a4,x2361),f5(x2361),a4)),
% 1.48/1.52 inference(scs_inference,[],[14,227,234,16,23,162,214,204,207,187,133,13,20,19,18,2,8,9,7])).
% 1.48/1.52 cnf(237,plain,
% 1.48/1.52 (E(x2371,f6(a4,x2371))),
% 1.48/1.52 inference(rename_variables,[],[204])).
% 1.48/1.52 cnf(238,plain,
% 1.48/1.52 (E(a3,f6(a4,f6(a1,a2)))),
% 1.48/1.52 inference(scs_inference,[],[14,227,234,16,23,162,214,204,237,207,187,133,13,20,19,18,2,8,9,7,3])).
% 1.48/1.52 cnf(239,plain,
% 1.48/1.52 (E(x2391,f6(a4,x2391))),
% 1.48/1.52 inference(rename_variables,[],[204])).
% 1.48/1.52 cnf(240,plain,
% 1.48/1.52 (E(f6(a4,a4),f5(a4))),
% 1.48/1.52 inference(scs_inference,[],[14,227,234,16,23,162,214,204,237,207,187,133,13,20,19,18,2,8,9,7,3,124])).
% 1.48/1.52 cnf(241,plain,
% 1.48/1.52 (E(f6(x2411,x2412),f6(f6(a4,x2411),x2412))),
% 1.48/1.52 inference(scs_inference,[],[14,227,234,16,23,162,214,204,237,239,207,187,133,13,20,19,18,2,8,9,7,3,124,5])).
% 1.48/1.52 cnf(242,plain,
% 1.48/1.52 (~E(f5(f6(a1,a2)),f6(a2,a1))),
% 1.48/1.52 inference(scs_inference,[],[14,227,234,16,23,162,214,204,237,239,207,187,133,13,20,19,18,2,8,9,7,3,124,5,99])).
% 1.48/1.52 cnf(245,plain,
% 1.48/1.52 (P1(x2451,x2452,f6(x2451,x2452))),
% 1.48/1.52 inference(rename_variables,[],[16])).
% 1.48/1.52 cnf(247,plain,
% 1.48/1.52 (~P1(f5(f5(a4)),a3,f6(a2,a1))),
% 1.48/1.52 inference(scs_inference,[],[30,21,15,16,221,19,18])).
% 1.48/1.52 cnf(250,plain,
% 1.48/1.52 (P1(a3,a4,f6(a1,f5(a2)))),
% 1.48/1.52 inference(scs_inference,[],[14,30,21,15,16,245,221,19,18,20])).
% 1.48/1.52 cnf(251,plain,
% 1.48/1.52 (P1(x2511,x2512,f6(x2511,x2512))),
% 1.48/1.52 inference(rename_variables,[],[16])).
% 1.48/1.52 cnf(255,plain,
% 1.48/1.52 (E(f6(a4,x2551),x2551)),
% 1.48/1.52 inference(rename_variables,[],[232])).
% 1.48/1.52 cnf(256,plain,
% 1.48/1.52 (~P1(f6(a4,f6(a2,a1)),a3,f5(a4))),
% 1.48/1.52 inference(scs_inference,[],[14,30,21,15,16,245,221,232,255,226,183,19,18,20,8,7])).
% 1.48/1.52 cnf(257,plain,
% 1.48/1.52 (E(f6(a4,x2571),x2571)),
% 1.48/1.52 inference(rename_variables,[],[232])).
% 1.48/1.52 cnf(258,plain,
% 1.48/1.52 (~E(f6(a2,a1),f5(f6(a1,a2)))),
% 1.48/1.52 inference(scs_inference,[],[14,30,21,15,16,245,242,221,232,255,226,183,19,18,20,8,7,2])).
% 1.48/1.52 cnf(259,plain,
% 1.48/1.52 (~E(f6(f6(a4,a2),a1),a3)),
% 1.48/1.52 inference(scs_inference,[],[14,30,21,15,16,245,242,241,221,232,255,226,183,19,18,20,8,7,2,3])).
% 1.48/1.52 cnf(261,plain,
% 1.48/1.52 (~E(f6(a3,a4),f5(f6(a2,a1)))),
% 1.48/1.52 inference(scs_inference,[],[14,30,21,15,16,245,251,242,241,221,232,255,226,183,19,18,20,8,7,2,3,9])).
% 1.48/1.52 cnf(263,plain,
% 1.48/1.52 (~P1(a2,f6(a4,a1),a3)),
% 1.48/1.52 inference(scs_inference,[],[14,30,21,15,16,245,251,242,241,221,232,255,257,226,183,19,18,20,8,7,2,3,9,38])).
% 1.48/1.52 cnf(265,plain,
% 1.48/1.52 (E(a4,f6(f5(x2651),x2651))),
% 1.48/1.52 inference(scs_inference,[],[15,16,18])).
% 1.48/1.52 cnf(266,plain,
% 1.48/1.52 (P1(x2661,x2662,f6(x2661,x2662))),
% 1.48/1.52 inference(rename_variables,[],[16])).
% 1.48/1.52 cnf(268,plain,
% 1.48/1.52 (~P1(f6(f6(a2,a1),f5(x2681)),x2681,a3)),
% 1.48/1.52 inference(scs_inference,[],[15,16,266,173,18,20])).
% 1.48/1.52 cnf(269,plain,
% 1.48/1.52 (P1(x2691,x2692,f6(x2691,x2692))),
% 1.48/1.52 inference(rename_variables,[],[16])).
% 1.48/1.52 cnf(271,plain,
% 1.48/1.52 (P1(a4,a3,f6(f5(a1),a2))),
% 1.48/1.52 inference(scs_inference,[],[15,26,16,266,269,173,18,20,19])).
% 1.48/1.52 cnf(273,plain,
% 1.48/1.52 (P1(f5(x2731),x2731,a4)),
% 1.48/1.52 inference(rename_variables,[],[15])).
% 1.48/1.52 cnf(275,plain,
% 1.48/1.52 (P1(f6(a4,a1),a3,a2)),
% 1.48/1.52 inference(scs_inference,[],[15,26,16,266,269,173,204,18,20,19,7])).
% 1.48/1.52 cnf(276,plain,
% 1.48/1.52 (E(x2761,f6(a4,x2761))),
% 1.48/1.52 inference(rename_variables,[],[204])).
% 1.48/1.52 cnf(277,plain,
% 1.48/1.52 (E(a3,f6(f6(a4,a1),a2))),
% 1.48/1.52 inference(scs_inference,[],[15,26,16,266,269,23,173,241,204,18,20,19,7,3])).
% 1.48/1.52 cnf(279,plain,
% 1.48/1.52 (P1(f5(f6(a4,a4)),f5(a4),a4)),
% 1.48/1.52 inference(scs_inference,[],[15,273,26,16,266,269,23,240,173,241,204,18,20,19,7,3,8])).
% 1.48/1.52 cnf(280,plain,
% 1.48/1.52 (P1(f5(x2801),x2801,a4)),
% 1.48/1.52 inference(rename_variables,[],[15])).
% 1.48/1.52 cnf(281,plain,
% 1.48/1.52 (P1(f5(x2811),x2811,f6(a4,a4))),
% 1.48/1.52 inference(scs_inference,[],[15,273,280,26,16,266,269,23,240,173,241,204,276,18,20,19,7,3,8,9])).
% 1.48/1.52 cnf(283,plain,
% 1.48/1.52 (E(f6(x2831,f6(a1,a2)),f6(x2831,a3))),
% 1.48/1.52 inference(scs_inference,[],[15,273,280,35,26,16,266,269,23,240,173,241,204,276,18,20,19,7,3,8,9,2])).
% 1.48/1.52 cnf(284,plain,
% 1.48/1.52 (E(f5(f6(a4,x2841)),f5(x2841))),
% 1.48/1.52 inference(scs_inference,[],[15,273,280,35,26,16,266,269,23,240,173,241,232,204,276,18,20,19,7,3,8,9,2,4])).
% 1.48/1.52 cnf(285,plain,
% 1.48/1.52 (E(f6(x2851,f6(a4,x2852)),f6(x2851,x2852))),
% 1.48/1.52 inference(scs_inference,[],[15,273,280,35,26,16,266,269,23,240,173,241,232,204,276,18,20,19,7,3,8,9,2,4,6])).
% 1.48/1.52 cnf(287,plain,
% 1.48/1.52 (P1(f5(x2871),x2871,a4)),
% 1.48/1.52 inference(rename_variables,[],[15])).
% 1.48/1.52 cnf(290,plain,
% 1.48/1.52 (~P1(f5(x2901),f6(x2901,f6(a2,a1)),a3)),
% 1.48/1.52 inference(scs_inference,[],[15,287,16,247,111,13,20,19])).
% 1.48/1.52 cnf(292,plain,
% 1.48/1.52 (P1(x2921,x2922,f6(x2921,x2922))),
% 1.48/1.52 inference(rename_variables,[],[16])).
% 1.48/1.52 cnf(294,plain,
% 1.48/1.52 (~P1(f6(a1,a2),a4,f6(a2,a1))),
% 1.48/1.52 inference(scs_inference,[],[15,287,34,16,247,159,111,13,20,19,18])).
% 1.48/1.52 cnf(298,plain,
% 1.48/1.52 (P1(x2981,a3,f6(x2981,f6(a1,a2)))),
% 1.48/1.52 inference(scs_inference,[],[15,287,34,35,16,292,285,247,159,111,13,20,19,18,3,9])).
% 1.48/1.52 cnf(301,plain,
% 1.48/1.52 (~P1(f5(f5(a4)),f6(a2,a1),a3)),
% 1.48/1.52 inference(scs_inference,[],[15,287,34,35,16,292,285,202,247,159,111,13,20,19,18,3,9,7])).
% 1.48/1.52 cnf(303,plain,
% 1.48/1.52 (P1(a3,f6(a4,a2),a1)),
% 1.48/1.52 inference(scs_inference,[],[15,287,34,35,30,16,292,285,261,202,247,159,111,204,13,20,19,18,3,9,7,2,8])).
% 1.48/1.52 cnf(306,plain,
% 1.48/1.52 (P1(x3061,x3062,f6(x3061,x3062))),
% 1.48/1.52 inference(rename_variables,[],[16])).
% 1.48/1.52 cnf(308,plain,
% 1.48/1.52 (~P1(f5(f5(a4)),f5(a3),f6(a2,a1))),
% 1.48/1.52 inference(scs_inference,[],[16,26,198,263,221,19,18])).
% 1.48/1.52 cnf(311,plain,
% 1.48/1.52 (~P1(a2,f6(a1,a2),f6(a4,a1))),
% 1.48/1.52 inference(scs_inference,[],[16,26,198,263,219,221,11,19,18,20])).
% 1.48/1.52 cnf(314,plain,
% 1.48/1.52 (~E(f6(a2,f6(a4,a1)),a3)),
% 1.48/1.52 inference(scs_inference,[],[16,306,26,198,263,219,221,11,19,18,20,9])).
% 1.48/1.52 cnf(316,plain,
% 1.48/1.52 (E(f5(x3161),f5(f6(a4,x3161)))),
% 1.48/1.52 inference(scs_inference,[],[16,306,26,198,284,263,219,221,11,19,18,20,9,2])).
% 1.48/1.52 cnf(317,plain,
% 1.48/1.52 (~E(f6(f6(a4,a2),a1),f5(a3))),
% 1.48/1.52 inference(scs_inference,[],[16,306,26,198,284,263,219,221,241,11,19,18,20,9,2,3])).
% 1.48/1.52 cnf(321,plain,
% 1.48/1.52 (~P1(f6(a4,a2),f6(a4,a1),a3)),
% 1.48/1.52 inference(scs_inference,[],[16,306,26,198,284,263,219,285,221,241,232,11,19,18,20,9,2,3,8,7])).
% 1.48/1.52 cnf(322,plain,
% 1.48/1.52 (E(f6(a4,x3221),x3221)),
% 1.48/1.52 inference(rename_variables,[],[232])).
% 1.48/1.52 cnf(323,plain,
% 1.48/1.52 (E(f6(f6(a4,x3231),x3232),f6(x3231,x3232))),
% 1.48/1.52 inference(scs_inference,[],[16,306,26,198,284,263,219,285,221,241,232,322,11,19,18,20,9,2,3,8,7,5])).
% 1.48/1.52 cnf(326,plain,
% 1.48/1.52 (P1(x3261,x3262,f6(x3261,x3262))),
% 1.48/1.52 inference(rename_variables,[],[16])).
% 1.48/1.52 cnf(327,plain,
% 1.48/1.52 (P1(x3271,x3272,f6(x3271,x3272))),
% 1.48/1.52 inference(rename_variables,[],[16])).
% 1.48/1.52 cnf(329,plain,
% 1.48/1.52 (E(f6(f5(x3291),x3291),f6(a4,a4))),
% 1.48/1.52 inference(scs_inference,[],[16,327,281,298,20,18])).
% 1.48/1.52 cnf(331,plain,
% 1.48/1.52 (P1(x3311,x3312,f6(x3311,x3312))),
% 1.48/1.52 inference(rename_variables,[],[16])).
% 1.48/1.52 cnf(333,plain,
% 1.48/1.52 (P1(f6(x3331,x3331),x3331,f6(x3331,f6(x3331,x3331)))),
% 1.48/1.52 inference(scs_inference,[],[16,327,331,326,281,298,20,18,19])).
% 1.48/1.52 cnf(336,plain,
% 1.48/1.52 (P1(x3361,x3362,f6(x3361,x3362))),
% 1.48/1.52 inference(rename_variables,[],[16])).
% 1.48/1.52 cnf(339,plain,
% 1.48/1.52 (P1(x3391,f6(a1,a2),f6(x3391,a3))),
% 1.48/1.52 inference(scs_inference,[],[16,327,331,336,326,23,281,317,298,20,18,19,2,8])).
% 1.48/1.52 cnf(340,plain,
% 1.48/1.52 (P1(x3401,x3402,f6(x3401,x3402))),
% 1.48/1.52 inference(rename_variables,[],[16])).
% 1.48/1.52 cnf(341,plain,
% 1.48/1.52 (P1(a3,x3411,f6(f6(a1,a2),x3411))),
% 1.48/1.52 inference(scs_inference,[],[16,327,331,336,340,326,36,23,281,317,298,20,18,19,2,8,9])).
% 1.48/1.52 cnf(343,plain,
% 1.48/1.52 (P1(f6(a1,a2),a2,a1)),
% 1.48/1.52 inference(scs_inference,[],[16,327,331,336,340,326,36,30,23,281,317,298,20,18,19,2,8,9,7])).
% 1.48/1.52 cnf(344,plain,
% 1.48/1.52 (E(a4,f6(f5(a3),f6(a1,a2)))),
% 1.48/1.52 inference(scs_inference,[],[16,327,331,336,340,326,36,35,30,23,281,317,298,265,20,18,19,2,8,9,7,3])).
% 1.48/1.52 cnf(347,plain,
% 1.48/1.52 (~E(a1,a2)),
% 1.48/1.52 inference(scs_inference,[],[39,2])).
% 1.48/1.52 cnf(350,plain,
% 1.48/1.52 (P1(a2,a4,f6(a1,a3))),
% 1.48/1.52 inference(scs_inference,[],[26,30,339,347,162,18,19])).
% 1.48/1.52 cnf(351,plain,
% 1.48/1.52 (P1(x3511,f6(a1,a2),f6(x3511,a3))),
% 1.48/1.52 inference(rename_variables,[],[339])).
% 1.48/1.52 cnf(354,plain,
% 1.48/1.52 (P1(x3541,f6(a1,a2),f6(x3541,a3))),
% 1.48/1.52 inference(rename_variables,[],[339])).
% 1.48/1.52 cnf(357,plain,
% 1.48/1.52 (P1(x3571,f6(f6(a4,a1),a2),f6(x3571,a3))),
% 1.48/1.52 inference(scs_inference,[],[26,30,339,351,354,347,162,241,16,18,19,20,8])).
% 1.48/1.52 cnf(359,plain,
% 1.48/1.52 (~P1(f5(a3),f6(f6(a1,a2),f6(a2,a1)),a3)),
% 1.48/1.52 inference(scs_inference,[],[37,26,30,339,351,354,290,347,162,241,16,18,19,20,8,7])).
% 1.48/1.52 cnf(361,plain,
% 1.48/1.52 (~E(a3,f6(f6(a4,a2),a1))),
% 1.48/1.52 inference(scs_inference,[],[34,37,26,30,323,339,351,354,290,347,162,241,16,18,19,20,8,7,3])).
% 1.48/1.52 cnf(363,plain,
% 1.48/1.52 (E(f5(f6(a1,a2)),f5(a3))),
% 1.48/1.52 inference(scs_inference,[],[34,37,26,30,323,339,351,354,290,347,162,241,16,18,19,20,8,7,3,2])).
% 1.48/1.52 cnf(367,plain,
% 1.48/1.52 (E(f6(x3671,x3672),f6(x3671,f6(a4,x3672)))),
% 1.48/1.52 inference(scs_inference,[],[34,36,37,26,30,333,323,339,351,354,290,347,162,241,204,16,18,19,20,8,7,3,2,9,6])).
% 1.48/1.52 cnf(374,plain,
% 1.48/1.52 (~P1(f6(a1,a2),f6(a1,a2),f6(f6(a1,a2),f6(a2,a1)))),
% 1.48/1.52 inference(scs_inference,[],[26,233,97,341,311,359,219,221,19,18,20])).
% 1.48/1.52 cnf(376,plain,
% 1.48/1.52 (~E(f6(a1,a2),f6(f6(a2,a1),f5(a4)))),
% 1.48/1.52 inference(scs_inference,[],[26,233,97,341,268,311,359,159,219,221,19,18,20,7])).
% 1.48/1.52 cnf(378,plain,
% 1.48/1.52 (~E(a1,f6(a2,f6(a1,a2)))),
% 1.48/1.52 inference(scs_inference,[],[26,233,97,341,268,311,359,194,159,219,221,19,18,20,7,2])).
% 1.48/1.52 cnf(379,plain,
% 1.48/1.52 (~E(f6(f6(a4,a2),f6(a4,a1)),a3)),
% 1.48/1.52 inference(scs_inference,[],[26,233,97,341,268,321,311,359,194,159,219,221,16,19,18,20,7,2,9])).
% 1.48/1.52 cnf(381,plain,
% 1.48/1.52 (~P1(f6(a1,a2),f5(f5(a4)),f6(a2,a1))),
% 1.48/1.52 inference(scs_inference,[],[26,233,97,341,268,294,321,311,359,229,194,159,219,221,16,19,18,20,7,2,9,8])).
% 1.48/1.52 cnf(382,plain,
% 1.48/1.52 (~E(f6(a1,a2),f6(f6(a4,a2),a1))),
% 1.48/1.52 inference(scs_inference,[],[26,23,233,97,341,268,294,321,311,359,361,229,194,159,219,221,16,19,18,20,7,2,9,8,3])).
% 1.48/1.52 cnf(383,plain,
% 1.48/1.52 (~P1(f6(a1,a2),a3,f6(a3,f6(a2,a1)))),
% 1.48/1.52 inference(scs_inference,[],[374,59,162,20])).
% 1.48/1.52 cnf(386,plain,
% 1.48/1.52 (E(a2,f6(a1,a3))),
% 1.48/1.52 inference(scs_inference,[],[374,161,59,339,162,20,18])).
% 1.48/1.52 cnf(392,plain,
% 1.48/1.52 (E(f6(a4,a4),f6(f5(x3921),x3921))),
% 1.48/1.52 inference(scs_inference,[],[329,374,381,161,90,59,339,162,12,20,18,19,2])).
% 1.48/1.52 cnf(394,plain,
% 1.48/1.52 (E(f6(x3941,x3942),f6(x3941,f6(a4,x3942)))),
% 1.48/1.52 inference(rename_variables,[],[367])).
% 1.48/1.52 cnf(395,plain,
% 1.48/1.52 (P1(f6(a1,a2),f6(a4,a2),a1)),
% 1.48/1.52 inference(scs_inference,[],[23,329,374,367,303,381,161,90,59,339,162,12,20,18,19,2,8,7])).
% 1.48/1.52 cnf(396,plain,
% 1.48/1.52 (E(a3,f6(a1,f6(a4,a2)))),
% 1.48/1.52 inference(scs_inference,[],[23,329,374,367,394,303,381,161,90,59,339,162,12,20,18,19,2,8,7,3])).
% 1.48/1.52 cnf(398,plain,
% 1.48/1.52 (P1(a3,a2,f6(a4,a1))),
% 1.48/1.52 inference(scs_inference,[],[23,30,329,374,367,394,303,381,161,90,59,339,162,204,12,20,18,19,2,8,7,3,9])).
% 1.48/1.52 cnf(400,plain,
% 1.48/1.52 (E(f6(a2,x4001),f6(f6(a1,a3),x4001))),
% 1.48/1.52 inference(scs_inference,[],[23,30,329,374,367,394,303,381,161,90,59,339,162,204,12,20,18,19,2,8,7,3,9,5])).
% 1.48/1.52 cnf(401,plain,
% 1.48/1.52 (E(f5(a2),f5(f6(a1,a3)))),
% 1.48/1.52 inference(scs_inference,[],[23,30,329,374,367,394,303,381,161,90,59,339,162,204,12,20,18,19,2,8,7,3,9,5,4])).
% 1.48/1.52 cnf(404,plain,
% 1.48/1.52 (P1(f6(f6(a1,a2),a1),a3,a1)),
% 1.48/1.52 inference(scs_inference,[],[30,26,378,341,18,19])).
% 1.48/1.52 cnf(407,plain,
% 1.48/1.52 (P1(f5(f6(a4,a4)),a4,a4)),
% 1.48/1.52 inference(scs_inference,[],[30,26,236,378,281,341,18,19,20])).
% 1.48/1.52 cnf(411,plain,
% 1.48/1.52 (P1(a3,f6(a1,a3),a1)),
% 1.48/1.52 inference(scs_inference,[],[30,26,236,378,386,281,341,18,19,20,8])).
% 1.48/1.52 cnf(412,plain,
% 1.48/1.52 (~E(a1,f6(a2,a3))),
% 1.48/1.52 inference(scs_inference,[],[35,30,26,236,378,386,281,341,18,19,20,8,3])).
% 1.48/1.52 cnf(415,plain,
% 1.48/1.52 (~P1(f6(a1,a2),f6(a1,a2),f6(a3,f6(a2,a1)))),
% 1.48/1.52 inference(scs_inference,[],[36,35,30,26,382,236,378,386,374,281,341,18,19,20,8,3,2,9])).
% 1.48/1.52 cnf(417,plain,
% 1.48/1.52 (~P1(a3,a3,f6(a3,f6(a2,a1)))),
% 1.48/1.52 inference(scs_inference,[],[23,36,35,30,26,382,236,383,378,386,374,281,341,18,19,20,8,3,2,9,7])).
% 1.48/1.52 cnf(418,plain,
% 1.48/1.52 (P1(f6(a4,x4181),f5(f5(a4)),f6(a4,x4181))),
% 1.48/1.52 inference(scs_inference,[],[179,90,19])).
% 1.48/1.52 cnf(420,plain,
% 1.48/1.52 (P1(f6(f5(a4),a1),f6(a1,a2),a2)),
% 1.48/1.52 inference(scs_inference,[],[117,275,179,90,19,20])).
% 1.48/1.52 cnf(423,plain,
% 1.48/1.52 (~P1(f6(a2,a1),f5(a4),a3)),
% 1.48/1.52 inference(scs_inference,[],[34,117,275,179,90,178,19,20,18])).
% 1.48/1.52 cnf(426,plain,
% 1.48/1.52 (~E(f6(f6(a4,a1),a2),f6(a2,a1))),
% 1.48/1.52 inference(scs_inference,[],[34,117,275,277,179,90,178,19,20,18,3])).
% 1.48/1.52 cnf(428,plain,
% 1.48/1.52 (~E(f6(a1,f5(a2)),f6(a2,a1))),
% 1.48/1.52 inference(scs_inference,[],[44,34,117,275,277,179,250,90,229,178,19,20,18,3,8,9])).
% 1.48/1.52 cnf(429,plain,
% 1.48/1.52 (~P1(f6(a4,a1),a2,f6(a2,a1))),
% 1.48/1.52 inference(scs_inference,[],[44,42,34,117,275,277,179,250,90,229,178,232,19,20,18,3,8,9,7])).
% 1.48/1.52 cnf(431,plain,
% 1.48/1.52 (E(f5(f6(a1,a3)),f5(a2))),
% 1.48/1.52 inference(scs_inference,[],[44,42,34,401,117,275,277,179,250,90,229,178,232,19,20,18,3,8,9,7,2])).
% 1.48/1.52 cnf(432,plain,
% 1.48/1.52 (E(f6(x4321,a2),f6(x4321,f6(a1,a3)))),
% 1.48/1.52 inference(scs_inference,[],[44,42,34,401,117,275,277,179,250,90,229,386,178,232,19,20,18,3,8,9,7,2,6])).
% 1.48/1.52 cnf(433,plain,
% 1.48/1.52 (E(a2,f6(a1,f6(a1,a2)))),
% 1.48/1.52 inference(scs_inference,[],[26,298,18])).
% 1.48/1.52 cnf(436,plain,
% 1.48/1.52 (~P1(f5(a3),f6(a3,f6(a2,a1)),f6(a1,a2))),
% 1.48/1.52 inference(scs_inference,[],[26,415,50,298,13,18,20])).
% 1.48/1.52 cnf(439,plain,
% 1.48/1.52 (~P1(a1,f6(a3,a3),a1)),
% 1.48/1.52 inference(scs_inference,[],[26,415,50,139,298,339,13,18,20,19])).
% 1.48/1.52 cnf(442,plain,
% 1.48/1.52 (P1(f6(a1,a2),f5(f6(a4,a3)),a4)),
% 1.48/1.52 inference(scs_inference,[],[26,415,316,50,139,298,339,13,18,20,19,8])).
% 1.48/1.52 cnf(444,plain,
% 1.48/1.52 (P1(f6(a1,f6(a4,a2)),a2,a1)),
% 1.48/1.52 inference(scs_inference,[],[26,30,415,316,50,396,139,298,339,13,18,20,19,8,7])).
% 1.48/1.52 cnf(445,plain,
% 1.48/1.52 (E(f6(a4,a4),f6(f5(a3),f6(a1,a2)))),
% 1.48/1.52 inference(scs_inference,[],[26,35,30,392,415,316,50,396,139,298,339,13,18,20,19,8,7,3])).
% 1.48/1.52 cnf(449,plain,
% 1.48/1.52 (P1(f6(a1,a2),f5(a3),f6(f5(a3),f6(a1,a2)))),
% 1.48/1.52 inference(scs_inference,[],[26,35,30,392,426,415,316,50,344,396,139,298,339,13,18,20,19,8,7,3,2,9])).
% 1.48/1.52 cnf(450,plain,
% 1.48/1.52 (~P1(f5(a1),f6(a2,a1),a2)),
% 1.48/1.52 inference(scs_inference,[],[42,214,221,20])).
% 1.48/1.52 cnf(457,plain,
% 1.48/1.52 (~P1(a3,a2,f6(a2,a3))),
% 1.48/1.52 inference(scs_inference,[],[30,42,436,74,412,214,162,221,20,19,18])).
% 1.48/1.52 cnf(460,plain,
% 1.48/1.52 (E(f6(f5(a3),f6(a1,a2)),f6(a4,a4))),
% 1.48/1.52 inference(scs_inference,[],[30,42,445,436,74,412,238,214,162,221,20,19,18,7,2])).
% 1.48/1.52 cnf(462,plain,
% 1.48/1.52 (~P1(a3,a3,f6(f6(a1,a2),f6(a2,a1)))),
% 1.48/1.52 inference(scs_inference,[],[30,42,47,445,436,417,74,412,238,433,214,162,221,20,19,18,7,2,8,9])).
% 1.48/1.52 cnf(464,plain,
% 1.48/1.52 (E(f6(a2,a3),f6(f6(a1,a3),f6(a1,a2)))),
% 1.48/1.52 inference(scs_inference,[],[30,42,47,35,445,400,436,417,74,412,238,433,214,162,221,20,19,18,7,2,8,9,3])).
% 1.48/1.52 cnf(473,plain,
% 1.48/1.52 (P1(f5(f6(a4,a4)),f6(a4,a3),f6(a4,a3))),
% 1.48/1.52 inference(scs_inference,[],[258,357,418,395,407,178,19,18,20])).
% 1.48/1.52 cnf(477,plain,
% 1.48/1.52 (~E(f6(f6(a2,a1),f5(a4)),f6(a1,a2))),
% 1.48/1.52 inference(scs_inference,[],[258,376,357,418,395,407,178,19,18,20,2])).
% 1.48/1.52 cnf(478,plain,
% 1.48/1.52 (~E(f6(f6(a1,a2),f6(a2,a2)),f6(a2,a1))),
% 1.48/1.52 inference(scs_inference,[],[258,376,357,418,395,211,407,341,178,19,18,20,2,9])).
% 1.48/1.52 cnf(480,plain,
% 1.48/1.52 (~P1(f5(a4),f5(a3),f6(a2,a1))),
% 1.48/1.52 inference(scs_inference,[],[258,376,357,418,308,395,211,407,120,341,178,19,18,20,2,9,7])).
% 1.48/1.52 cnf(481,plain,
% 1.48/1.52 (~E(f6(a1,f6(a1,a3)),f6(a2,a1))),
% 1.48/1.52 inference(scs_inference,[],[258,376,357,432,418,308,395,211,407,76,120,341,178,19,18,20,2,9,7,3])).
% 1.48/1.52 cnf(483,plain,
% 1.48/1.52 (~P1(a3,f5(a4),f6(a2,a1))),
% 1.48/1.52 inference(scs_inference,[],[44,258,376,357,432,418,308,395,211,407,76,120,341,143,178,19,18,20,2,9,7,3,8])).
% 1.48/1.52 cnf(484,plain,
% 1.48/1.52 (P1(f6(f5(a4),a1),a1,a4)),
% 1.48/1.52 inference(scs_inference,[],[343,420,11,20])).
% 1.48/1.52 cnf(487,plain,
% 1.48/1.52 (E(a4,f5(f6(a4,a4)))),
% 1.48/1.52 inference(scs_inference,[],[343,420,279,178,11,20,18])).
% 1.48/1.52 cnf(490,plain,
% 1.48/1.52 (~P1(a2,f6(a3,a3),a2)),
% 1.48/1.52 inference(scs_inference,[],[343,420,279,439,178,11,20,18,19])).
% 1.48/1.52 cnf(492,plain,
% 1.48/1.52 (P1(f6(a1,a2),f5(a3),f6(a4,a4))),
% 1.48/1.52 inference(scs_inference,[],[460,449,343,420,279,439,178,11,20,18,19,9])).
% 1.48/1.52 cnf(493,plain,
% 1.48/1.52 (E(f6(f5(a3),f6(a1,a2)),f5(a4))),
% 1.48/1.52 inference(scs_inference,[],[460,449,343,420,279,439,240,178,11,20,18,19,9,3])).
% 1.48/1.52 cnf(494,plain,
% 1.48/1.52 (E(f6(f6(a1,a3),f6(a1,a2)),f6(a2,a3))),
% 1.48/1.52 inference(scs_inference,[],[464,460,449,343,420,279,439,240,178,11,20,18,19,9,3,2])).
% 1.48/1.52 cnf(495,plain,
% 1.48/1.52 (P1(f6(a3,f6(a1,a2)),f6(a3,a3),a4)),
% 1.48/1.52 inference(scs_inference,[],[464,460,449,343,78,72,420,279,439,240,178,11,20,18,19,9,3,2,8])).
% 1.48/1.52 cnf(497,plain,
% 1.48/1.52 (P1(f5(a4),f6(a4,a3),f6(a4,a3))),
% 1.48/1.52 inference(scs_inference,[],[464,460,449,473,343,78,72,420,279,439,240,284,178,11,20,18,19,9,3,2,8,7])).
% 1.48/1.52 cnf(501,plain,
% 1.48/1.52 (P1(f6(a4,a4),f5(f5(a3)),f6(a1,a2))),
% 1.48/1.52 inference(scs_inference,[],[492,411,96,412,178,18,19])).
% 1.48/1.52 cnf(508,plain,
% 1.48/1.52 (~E(a1,f6(f6(a1,a3),f6(a1,a2)))),
% 1.48/1.52 inference(scs_inference,[],[48,44,494,492,411,96,412,178,13,18,19,20,3])).
% 1.48/1.52 cnf(509,plain,
% 1.48/1.52 (P1(f5(a4),f6(a4,f6(a1,a2)),f6(a4,a3))),
% 1.48/1.52 inference(scs_inference,[],[48,44,35,494,497,492,411,96,412,178,13,18,19,20,3,8])).
% 1.48/1.52 cnf(512,plain,
% 1.48/1.52 (P1(f6(a3,a1),a3,a1)),
% 1.48/1.52 inference(scs_inference,[],[48,47,44,35,494,497,492,411,457,404,96,412,178,13,18,19,20,3,8,9,7])).
% 1.48/1.52 cnf(514,plain,
% 1.48/1.52 (~E(f6(a2,a1),f6(a1,f6(a1,a3)))),
% 1.48/1.52 inference(scs_inference,[],[48,47,44,35,494,481,497,492,411,457,404,96,412,178,13,18,19,20,3,8,9,7,2])).
% 1.48/1.52 cnf(515,plain,
% 1.48/1.52 (~P1(f6(a3,a1),f6(a4,a1),f6(a2,a1))),
% 1.48/1.52 inference(scs_inference,[],[42,398,512,19])).
% 1.48/1.52 cnf(517,plain,
% 1.48/1.52 (~P1(a3,f6(a2,a1),f5(f5(a4)))),
% 1.48/1.52 inference(scs_inference,[],[42,44,398,512,221,11,19,20])).
% 1.48/1.52 cnf(521,plain,
% 1.48/1.52 (~P1(f6(a1,a2),a4,f6(a2,f6(a4,a1)))),
% 1.48/1.52 inference(scs_inference,[],[42,44,314,398,512,159,221,11,19,20,18])).
% 1.48/1.52 cnf(527,plain,
% 1.48/1.52 (~E(f6(a3,f6(a2,a2)),f6(a2,a1))),
% 1.48/1.52 inference(scs_inference,[],[42,44,47,478,429,314,398,512,323,159,221,232,11,19,20,18,8,7,3])).
% 1.48/1.52 cnf(529,plain,
% 1.48/1.52 (E(f5(a4),f6(f5(a3),f6(a1,a2)))),
% 1.48/1.52 inference(scs_inference,[],[42,44,47,478,429,314,398,493,512,323,159,221,232,11,19,20,18,8,7,3,2])).
% 1.48/1.52 cnf(530,plain,
% 1.48/1.52 (~E(f6(f6(a1,a2),f5(a4)),f6(a2,a1))),
% 1.48/1.52 inference(scs_inference,[],[42,44,47,478,429,314,483,398,493,512,323,159,341,221,232,11,19,20,18,8,7,3,2,9])).
% 1.48/1.52 cnf(532,plain,
% 1.48/1.52 (P1(f5(f6(a4,a4)),f6(a1,a2),f6(a1,a2))),
% 1.48/1.52 inference(scs_inference,[],[501,281,20])).
% 1.48/1.52 cnf(535,plain,
% 1.48/1.52 (E(f6(f5(a1),a3),a2)),
% 1.48/1.52 inference(scs_inference,[],[501,55,281,13,20,18])).
% 1.48/1.52 cnf(538,plain,
% 1.48/1.52 (P1(a4,a3,f6(f5(a4),f6(a1,a2)))),
% 1.48/1.52 inference(scs_inference,[],[501,100,181,55,236,281,13,20,18,19])).
% 1.48/1.52 cnf(544,plain,
% 1.48/1.52 (~E(f6(a2,a1),f6(f6(a1,a2),f5(a4)))),
% 1.48/1.52 inference(scs_inference,[],[50,530,501,100,181,55,367,236,281,13,20,18,19,7,2])).
% 1.48/1.52 cnf(545,plain,
% 1.48/1.52 (P1(f5(a4),f6(f5(a4),f6(a1,a2)),f6(a4,a3))),
% 1.48/1.52 inference(scs_inference,[],[50,530,501,509,100,181,55,367,119,236,281,13,20,18,19,7,2,8])).
% 1.48/1.52 cnf(547,plain,
% 1.48/1.52 (P1(f6(a1,a2),f5(a3),f5(f6(a4,a4)))),
% 1.48/1.52 inference(scs_inference,[],[50,530,501,509,100,181,487,55,367,119,236,281,13,20,18,19,7,2,8,9])).
% 1.48/1.52 cnf(548,plain,
% 1.48/1.52 (E(f5(a4),f6(f5(a3),a3))),
% 1.48/1.52 inference(scs_inference,[],[50,530,501,283,509,100,529,181,487,55,367,119,236,281,13,20,18,19,7,2,8,9,3])).
% 1.48/1.52 cnf(550,plain,
% 1.48/1.52 (~P1(f6(a3,f5(a4)),a4,f6(a2,a1))),
% 1.48/1.52 inference(scs_inference,[],[530,59,18])).
% 1.48/1.52 cnf(553,plain,
% 1.48/1.52 (P1(f6(a1,a3),f5(f5(a4)),f6(a1,a3))),
% 1.48/1.52 inference(scs_inference,[],[350,530,59,90,18,19])).
% 1.48/1.52 cnf(555,plain,
% 1.48/1.52 (P1(a4,f5(a4),f6(a4,a4))),
% 1.48/1.52 inference(scs_inference,[],[164,350,530,59,90,281,18,19,20])).
% 1.48/1.52 cnf(558,plain,
% 1.48/1.52 (E(f6(f5(a3),a3),f5(a4))),
% 1.48/1.52 inference(scs_inference,[],[548,164,350,530,59,90,281,18,19,20,2])).
% 1.48/1.52 cnf(559,plain,
% 1.48/1.52 (P1(f6(f6(a1,a2),f6(a1,a2)),f6(a3,a3),a4)),
% 1.48/1.52 inference(scs_inference,[],[36,548,495,164,350,530,59,90,281,18,19,20,2,7])).
% 1.48/1.52 cnf(560,plain,
% 1.48/1.53 (E(f6(a3,x5601),f6(f6(a1,a2),x5601))),
% 1.48/1.53 inference(rename_variables,[],[36])).
% 1.48/1.53 cnf(561,plain,
% 1.48/1.53 (P1(a4,a4,f6(f5(a3),a3))),
% 1.48/1.53 inference(scs_inference,[],[36,548,495,164,350,530,59,90,281,18,19,20,2,7,9])).
% 1.48/1.53 cnf(562,plain,
% 1.48/1.53 (~E(f6(a2,a1),f6(a3,f5(a4)))),
% 1.48/1.53 inference(scs_inference,[],[36,560,544,548,495,164,350,530,59,90,281,18,19,20,2,7,9,3])).
% 1.48/1.53 cnf(564,plain,
% 1.48/1.53 (P1(f5(a4),f6(f5(a4),a3),f6(a4,a3))),
% 1.48/1.53 inference(scs_inference,[],[36,560,544,545,548,495,164,350,530,283,59,90,281,18,19,20,2,7,9,3,8])).
% 1.48/1.53 cnf(566,plain,
% 1.48/1.53 (~P1(f6(a1,a2),f6(f5(a3),f6(a1,a2)),f6(a2,a1))),
% 1.48/1.53 inference(scs_inference,[],[50,65,298,19])).
% 1.48/1.53 cnf(572,plain,
% 1.48/1.53 (~P1(a4,f6(a1,a2),f6(f6(a4,a2),a1))),
% 1.48/1.53 inference(scs_inference,[],[50,259,521,65,298,219,13,19,20,18])).
% 1.48/1.53 cnf(574,plain,
% 1.48/1.53 (~P1(f6(f5(a1),a3),f6(a3,a3),a2)),
% 1.48/1.53 inference(scs_inference,[],[50,490,259,521,535,65,298,219,13,19,20,18,7])).
% 1.48/1.53 cnf(579,plain,
% 1.48/1.53 (~E(f6(a2,f6(a3,a3)),a2)),
% 1.48/1.53 inference(scs_inference,[],[50,42,428,477,490,259,521,535,65,203,298,219,13,16,19,20,18,7,3,2,8,9])).
% 1.48/1.53 cnf(581,plain,
% 1.48/1.53 (~P1(f5(f5(a4)),f6(a2,a1),f6(a1,a2))),
% 1.48/1.53 inference(scs_inference,[],[301,159,12,20])).
% 1.48/1.53 cnf(584,plain,
% 1.48/1.53 (E(f6(a4,a4),f5(f5(a4)))),
% 1.48/1.53 inference(scs_inference,[],[301,555,214,159,12,20,18])).
% 1.48/1.53 cnf(587,plain,
% 1.48/1.53 (~P1(f6(a1,a2),f6(f5(a3),a3),f6(a2,a1))),
% 1.48/1.53 inference(scs_inference,[],[44,301,555,561,214,159,12,20,18,19])).
% 1.48/1.53 cnf(589,plain,
% 1.48/1.53 (E(f6(a2,a2),f6(f6(a1,a3),f6(a1,a3)))),
% 1.48/1.53 inference(scs_inference,[],[44,301,555,561,432,400,214,159,12,20,18,19,3])).
% 1.48/1.53 cnf(591,plain,
% 1.48/1.53 (E(f6(x5911,a2),f6(x5911,f6(a1,a3)))),
% 1.48/1.53 inference(rename_variables,[],[432])).
% 1.48/1.53 cnf(592,plain,
% 1.48/1.53 (P1(a4,f6(f5(a3),f6(a1,a2)),f6(a4,a4))),
% 1.48/1.53 inference(scs_inference,[],[44,301,555,561,432,400,529,214,159,12,20,18,19,3,8])).
% 1.48/1.53 cnf(593,plain,
% 1.48/1.53 (P1(f6(a1,f6(a1,a3)),f5(a3),a4)),
% 1.48/1.53 inference(scs_inference,[],[44,50,301,555,561,432,591,400,529,214,159,12,20,18,19,3,8,7])).
% 1.48/1.53 cnf(597,plain,
% 1.48/1.53 (E(f6(a3,a4),f6(f6(a1,a2),f5(a4)))),
% 1.48/1.53 inference(scs_inference,[],[55,44,50,301,216,555,561,432,591,400,529,367,214,159,12,20,18,19,3,8,7,9,2])).
% 1.48/1.53 cnf(601,plain,
% 1.48/1.53 (P1(f6(a4,a3),f5(a3),f6(a4,a4))),
% 1.48/1.53 inference(scs_inference,[],[592,508,449,411,339,18,19])).
% 1.48/1.53 cnf(604,plain,
% 1.48/1.53 (P1(f5(f6(a4,a4)),a1,a1)),
% 1.48/1.53 inference(scs_inference,[],[532,592,508,449,411,343,339,18,19,20])).
% 1.48/1.53 cnf(606,plain,
% 1.48/1.53 (P1(f6(f5(a4),a1),f6(a4,a1),a4)),
% 1.48/1.53 inference(scs_inference,[],[532,484,592,508,449,411,343,339,204,18,19,20,8])).
% 1.48/1.53 cnf(608,plain,
% 1.48/1.53 (~P1(a3,f6(a2,a1),f6(a4,a4))),
% 1.48/1.53 inference(scs_inference,[],[532,584,517,484,592,508,449,411,343,339,204,18,19,20,8,9])).
% 1.48/1.53 cnf(609,plain,
% 1.48/1.53 (~E(f6(a2,a1),f6(a3,a4))),
% 1.48/1.53 inference(scs_inference,[],[597,532,584,517,484,592,508,544,449,411,343,339,204,18,19,20,8,9,3])).
% 1.48/1.53 cnf(610,plain,
% 1.48/1.53 (~E(f6(a3,f5(a4)),f6(a2,a1))),
% 1.48/1.53 inference(scs_inference,[],[597,532,562,584,517,484,592,508,544,449,411,343,339,204,18,19,20,8,9,3,2])).
% 1.48/1.53 cnf(612,plain,
% 1.48/1.53 (~P1(f6(a1,a2),f6(a3,a3),f6(a1,a2))),
% 1.48/1.53 inference(scs_inference,[],[161,490,19])).
% 1.48/1.53 cnf(617,plain,
% 1.48/1.53 (P1(f6(a3,a1),f6(f5(a4),f6(a1,a2)),a1)),
% 1.48/1.53 inference(scs_inference,[],[59,609,538,161,404,490,221,19,18,20])).
% 1.48/1.53 cnf(622,plain,
% 1.48/1.53 (E(f6(f6(a1,a3),f6(a1,a3)),f6(a2,a2))),
% 1.48/1.53 inference(scs_inference,[],[59,450,609,589,538,161,404,490,221,16,19,18,20,9,2])).
% 1.48/1.53 cnf(623,plain,
% 1.48/1.53 (~P1(f6(a1,a2),f6(a4,a4),f6(a2,a1))),
% 1.48/1.53 inference(scs_inference,[],[59,566,450,609,589,538,445,161,404,490,221,16,19,18,20,9,2,8])).
% 1.48/1.53 cnf(626,plain,
% 1.48/1.53 (~E(f6(f6(a1,a3),a1),f6(a3,a4))),
% 1.48/1.53 inference(scs_inference,[],[59,566,450,609,589,538,445,161,404,284,490,400,221,16,19,18,20,9,2,8,7,3])).
% 1.48/1.53 cnf(628,plain,
% 1.48/1.53 (E(f6(f5(a3),a3),a4)),
% 1.48/1.53 inference(scs_inference,[],[561,11,18])).
% 1.48/1.53 cnf(631,plain,
% 1.48/1.53 (~P1(f6(f6(a1,a2),a1),f6(a4,a1),f6(a2,a1))),
% 1.48/1.53 inference(scs_inference,[],[59,515,561,11,13,18,20])).
% 1.48/1.53 cnf(639,plain,
% 1.48/1.53 (P1(f6(f5(a4),a3),f5(a3),f6(a4,a4))),
% 1.48/1.53 inference(scs_inference,[],[48,59,626,515,601,572,561,119,281,11,13,18,20,19,2,7])).
% 1.48/1.53 cnf(641,plain,
% 1.48/1.53 (P1(f6(a4,a3),f5(a3),f6(f5(x6411),x6411))),
% 1.48/1.53 inference(scs_inference,[],[48,59,626,515,601,572,392,561,119,281,11,13,18,20,19,2,7,9])).
% 1.48/1.53 cnf(642,plain,
% 1.48/1.53 (E(f6(a4,a4),f5(f6(a4,a4)))),
% 1.48/1.53 inference(scs_inference,[],[48,59,626,515,601,572,392,316,561,240,119,281,11,13,18,20,19,2,7,9,3])).
% 1.48/1.53 cnf(644,plain,
% 1.48/1.53 (P1(f6(a3,a1),f6(f5(a4),a3),a1)),
% 1.48/1.53 inference(scs_inference,[],[48,59,626,515,601,572,617,392,316,561,240,283,119,281,11,13,18,20,19,2,7,9,3,8])).
% 1.48/1.53 cnf(646,plain,
% 1.48/1.53 (~P1(f6(a1,a2),a3,f5(f6(a4,a4)))),
% 1.48/1.53 inference(scs_inference,[],[612,532,339,20])).
% 1.48/1.53 cnf(651,plain,
% 1.48/1.53 (~P1(f6(a3,f6(a2,a2)),a4,f6(a2,a1))),
% 1.48/1.53 inference(scs_inference,[],[59,612,559,532,478,162,339,20,19,18])).
% 1.48/1.53 cnf(654,plain,
% 1.48/1.53 (~P1(f6(f6(a1,a2),f5(a4)),a4,f6(a2,a1))),
% 1.48/1.53 inference(scs_inference,[],[59,47,612,559,550,532,478,162,339,20,19,18,7])).
% 1.48/1.53 cnf(658,plain,
% 1.48/1.53 (E(f5(f6(a4,a4)),f6(a4,a4))),
% 1.48/1.53 inference(scs_inference,[],[59,47,612,642,215,559,550,532,478,121,162,339,20,19,18,7,3,2])).
% 1.48/1.53 cnf(659,plain,
% 1.48/1.53 (P1(f6(a3,a1),f6(a4,a3),a1)),
% 1.48/1.53 inference(scs_inference,[],[59,47,612,642,215,644,559,550,532,478,121,158,162,339,20,19,18,7,3,2,8])).
% 1.48/1.53 cnf(661,plain,
% 1.48/1.53 (~P1(f6(a1,a2),a3,f6(a4,a4))),
% 1.48/1.53 inference(scs_inference,[],[59,47,612,642,215,644,559,550,532,478,121,158,162,339,20,19,18,7,3,2,8,9])).
% 1.48/1.53 cnf(662,plain,
% 1.48/1.53 (P1(f6(a4,a1),a3,f6(f5(a1),a3))),
% 1.48/1.53 inference(scs_inference,[],[55,275,13,19])).
% 1.48/1.53 cnf(667,plain,
% 1.48/1.53 (P1(f5(f6(a4,a4)),a2,a2)),
% 1.48/1.53 inference(scs_inference,[],[55,379,604,275,161,219,13,19,18,20])).
% 1.48/1.53 cnf(669,plain,
% 1.48/1.53 (~E(f6(a3,a4),f6(a2,a1))),
% 1.48/1.53 inference(scs_inference,[],[55,610,379,604,275,161,203,219,13,19,18,20,3])).
% 1.48/1.53 cnf(672,plain,
% 1.48/1.53 (~E(f6(a3,a1),a2)),
% 1.48/1.53 inference(scs_inference,[],[44,61,55,610,379,628,604,275,512,161,203,219,13,19,18,20,3,8,7])).
% 1.48/1.53 cnf(673,plain,
% 1.48/1.53 (~E(f6(f6(a1,a2),f6(a4,a4)),f6(a2,a1))),
% 1.48/1.53 inference(scs_inference,[],[44,61,55,623,610,379,628,604,275,512,161,203,219,13,16,19,18,20,3,8,7,9])).
% 1.48/1.53 cnf(676,plain,
% 1.48/1.53 (P1(f5(a4),f6(a4,a4),f6(f5(x6761),x6761))),
% 1.48/1.53 inference(scs_inference,[],[564,641,639,20])).
% 1.48/1.53 cnf(678,plain,
% 1.48/1.53 (~P1(f6(a4,a3),f6(a3,a3),f6(a4,a3))),
% 1.48/1.53 inference(scs_inference,[],[564,641,639,659,439,20,19])).
% 1.48/1.53 cnf(680,plain,
% 1.48/1.53 (P1(a4,f6(a1,a3),f6(f5(a1),a3))),
% 1.48/1.53 inference(scs_inference,[],[55,564,641,639,659,439,386,20,19,8])).
% 1.48/1.53 cnf(681,plain,
% 1.48/1.53 (P1(f6(a4,a3),f5(a3),f5(a4))),
% 1.48/1.53 inference(scs_inference,[],[55,558,564,641,639,659,439,386,20,19,8,9])).
% 1.48/1.53 cnf(683,plain,
% 1.48/1.53 (E(f6(f6(a1,a2),f6(a4,x6831)),f6(a3,x6831))),
% 1.48/1.53 inference(scs_inference,[],[47,55,558,564,641,639,659,439,285,386,20,19,8,9,3])).
% 1.48/1.53 cnf(685,plain,
% 1.48/1.53 (E(f5(f5(a4)),f6(a4,a4))),
% 1.48/1.53 inference(scs_inference,[],[47,55,558,564,641,639,659,439,584,285,386,20,19,8,9,3,2])).
% 1.48/1.53 cnf(686,plain,
% 1.48/1.53 (P1(f6(f5(a4),f6(a4,a3)),f5(a3),f6(a4,a4))),
% 1.48/1.53 inference(scs_inference,[],[47,55,558,564,641,639,659,439,584,285,386,367,20,19,8,9,3,2,7])).
% 1.48/1.53 cnf(688,plain,
% 1.48/1.53 (~P1(f6(a3,f6(a4,a4)),a4,f6(a2,a1))),
% 1.48/1.53 inference(scs_inference,[],[47,55,59,673,558,564,641,639,659,439,584,285,386,367,20,19,8,9,3,2,7,18])).
% 1.48/1.53 cnf(691,plain,
% 1.48/1.53 (~P1(f5(f5(a4)),f6(a2,a1),f6(a3,a4))),
% 1.48/1.53 inference(scs_inference,[],[669,221,18])).
% 1.48/1.53 cnf(694,plain,
% 1.48/1.53 (~P1(a4,f6(a2,f6(a3,a3)),a2)),
% 1.48/1.53 inference(scs_inference,[],[55,669,574,221,16,18,19])).
% 1.48/1.53 cnf(700,plain,
% 1.48/1.53 (P1(f6(a1,a3),f6(a4,a4),f6(a1,a3))),
% 1.48/1.53 inference(scs_inference,[],[55,50,587,669,553,685,574,221,13,16,18,19,20,8])).
% 1.48/1.53 cnf(701,plain,
% 1.48/1.53 (E(f5(a4),f6(a4,a4))),
% 1.48/1.53 inference(scs_inference,[],[55,50,587,669,553,685,574,120,221,13,16,18,19,20,8,3])).
% 1.48/1.53 cnf(702,plain,
% 1.48/1.53 (~P1(f6(f6(a1,a2),f6(a4,a4)),a4,f6(a2,a1))),
% 1.48/1.53 inference(scs_inference,[],[47,55,50,587,669,553,685,688,574,120,221,13,16,18,19,20,8,3,7])).
% 1.48/1.53 cnf(706,plain,
% 1.48/1.53 (~P1(f6(a2,a1),f6(a1,a2),f5(a4))),
% 1.48/1.53 inference(scs_inference,[],[50,480,12,19])).
% 1.48/1.53 cnf(713,plain,
% 1.48/1.53 (~P1(a3,f6(a4,a1),a2)),
% 1.48/1.53 inference(scs_inference,[],[68,61,50,527,480,444,241,232,10,12,19,20,3,8])).
% 1.48/1.53 cnf(715,plain,
% 1.48/1.53 (~E(f6(f6(a1,a2),a1),a2)),
% 1.48/1.53 inference(scs_inference,[],[68,61,50,527,480,444,241,341,232,10,12,19,20,3,8,9])).
% 1.48/1.53 cnf(717,plain,
% 1.48/1.53 (E(f6(a3,x7171),f6(f6(a1,a2),f6(a4,x7171)))),
% 1.48/1.53 inference(scs_inference,[],[68,61,50,683,527,480,444,241,341,232,10,12,19,20,3,8,9,2])).
% 1.48/1.53 cnf(718,plain,
% 1.48/1.53 (~P1(f6(f5(a3),a3),a3,f6(a2,a1))),
% 1.48/1.53 inference(scs_inference,[],[68,65,61,50,683,527,480,444,628,241,341,232,10,12,19,20,3,8,9,2,7])).
% 1.48/1.53 cnf(719,plain,
% 1.48/1.53 (P1(f5(f6(a4,a4)),f6(a1,a3),f6(a1,a3))),
% 1.48/1.53 inference(scs_inference,[],[667,350,20])).
% 1.48/1.53 cnf(721,plain,
% 1.48/1.53 (P1(f6(f6(a1,a3),a3),f5(a3),f6(a1,a3))),
% 1.48/1.53 inference(scs_inference,[],[700,667,492,350,339,20,19])).
% 1.48/1.53 cnf(724,plain,
% 1.48/1.53 (E(f5(a4),f6(f5(a4),f5(a4)))),
% 1.48/1.53 inference(scs_inference,[],[700,701,667,492,155,350,339,20,19,3])).
% 1.48/1.53 cnf(725,plain,
% 1.48/1.53 (P1(f6(a3,f6(a1,a2)),a4,f6(a3,a3))),
% 1.48/1.53 inference(scs_inference,[],[59,700,701,667,78,492,155,350,339,20,19,3,9])).
% 1.48/1.53 cnf(727,plain,
% 1.48/1.53 (P1(f6(a1,a3),f6(f5(a4),f5(a4)),f6(a1,a3))),
% 1.48/1.53 inference(scs_inference,[],[59,700,701,667,78,492,155,350,339,20,19,3,9,8])).
% 1.48/1.53 cnf(728,plain,
% 1.48/1.53 (P1(f6(a1,f6(a4,a3)),f6(a4,a4),f6(a1,a3))),
% 1.48/1.53 inference(scs_inference,[],[59,700,701,667,78,492,155,350,367,339,20,19,3,9,8,7])).
% 1.48/1.53 cnf(731,plain,
% 1.48/1.53 (E(a4,f6(f6(a1,a2),f5(a3)))),
% 1.48/1.53 inference(scs_inference,[],[50,16,18])).
% 1.48/1.53 cnf(736,plain,
% 1.48/1.53 (P1(f6(a3,a1),f6(f5(a1),a2),a1)),
% 1.48/1.53 inference(scs_inference,[],[50,59,725,271,404,90,16,18,19,20])).
% 1.48/1.53 cnf(739,plain,
% 1.48/1.53 (~E(f6(a2,a1),f6(f6(a4,a1),f6(a1,a3)))),
% 1.48/1.53 inference(scs_inference,[],[50,59,514,725,271,323,404,90,16,18,19,20,3])).
% 1.48/1.53 cnf(741,plain,
% 1.48/1.53 (P1(f6(a3,f6(a4,x7411)),f6(a3,x7411),a4)),
% 1.48/1.53 inference(scs_inference,[],[50,72,59,514,725,271,683,323,404,90,16,18,19,20,3,8])).
% 1.48/1.53 cnf(744,plain,
% 1.48/1.53 (E(f6(f5(a4),f5(a4)),f5(a4))),
% 1.48/1.53 inference(scs_inference,[],[50,72,59,514,658,724,725,608,271,683,323,404,90,16,18,19,20,3,8,9,2])).
% 1.48/1.53 cnf(745,plain,
% 1.48/1.53 (P1(f6(a4,a4),f6(a1,a3),f6(a1,a3))),
% 1.48/1.53 inference(scs_inference,[],[50,72,59,514,719,658,724,725,608,271,683,323,404,90,16,18,19,20,3,8,9,2,7])).
% 1.48/1.53 cnf(746,plain,
% 1.48/1.53 (~P1(f6(a3,a1),a4,a2)),
% 1.48/1.53 inference(scs_inference,[],[59,715,18])).
% 1.48/1.53 cnf(758,plain,
% 1.48/1.53 (~P1(f6(a4,a3),f6(f6(a1,a2),f6(a1,a2)),f6(a4,a3))),
% 1.48/1.53 inference(scs_inference,[],[50,59,678,718,646,676,579,715,78,400,298,13,18,19,20,3,8])).
% 1.48/1.53 cnf(762,plain,
% 1.48/1.53 (~E(f6(f6(a4,a3),f6(a3,a3)),f6(a4,a3))),
% 1.48/1.53 inference(scs_inference,[],[50,59,678,739,718,646,676,579,715,78,285,400,298,13,16,18,19,20,3,8,2,7,9])).
% 1.48/1.53 cnf(764,plain,
% 1.48/1.53 (~P1(f5(a4),f6(a4,a3),f6(f6(a4,a3),f6(a3,a3)))),
% 1.48/1.53 inference(scs_inference,[],[762,497,18])).
% 1.48/1.53 cnf(769,plain,
% 1.48/1.53 (~P1(f5(a3),f6(a4,a3),f6(f6(a1,a2),f6(a1,a2)))),
% 1.48/1.53 inference(scs_inference,[],[762,758,713,681,606,497,12,18,19,20])).
% 1.48/1.53 cnf(773,plain,
% 1.48/1.53 (E(f5(a4),f6(f5(x7731),x7731))),
% 1.48/1.53 inference(scs_inference,[],[72,762,758,713,681,606,497,701,216,392,12,18,19,20,8,3])).
% 1.48/1.53 cnf(776,plain,
% 1.48/1.53 (P1(f6(a3,f5(a4)),a4,f6(a3,a4))),
% 1.48/1.53 inference(scs_inference,[],[74,72,59,762,758,713,681,606,497,701,216,392,12,18,19,20,8,3,7,9])).
% 1.48/1.53 cnf(778,plain,
% 1.48/1.53 (E(f6(f6(a1,a2),f5(a3)),a4)),
% 1.48/1.53 inference(scs_inference,[],[74,72,59,762,758,713,681,606,731,497,701,216,392,12,18,19,20,8,3,7,9,2])).
% 1.48/1.53 cnf(779,plain,
% 1.48/1.53 (E(f6(f6(a1,a2),f5(a3)),f5(a4))),
% 1.48/1.53 inference(scs_inference,[],[74,72,59,762,758,713,681,606,731,497,701,216,392,12,18,19,20,8,3,7,9,2,124])).
% 1.48/1.53 cnf(780,plain,
% 1.48/1.53 (P1(a4,f6(a3,x7801),f6(f6(a1,a2),x7801))),
% 1.48/1.53 inference(scs_inference,[],[74,72,59,19])).
% 1.48/1.53 cnf(786,plain,
% 1.48/1.53 (~E(f6(a3,a1),f6(f5(a1),a3))),
% 1.48/1.53 inference(scs_inference,[],[74,72,59,672,473,681,535,19,20,3])).
% 1.48/1.53 cnf(787,plain,
% 1.48/1.53 (P1(f6(a3,f5(a3)),f5(a4),a4)),
% 1.48/1.53 inference(scs_inference,[],[74,72,59,779,672,473,681,535,19,20,3,8])).
% 1.48/1.53 cnf(789,plain,
% 1.48/1.53 (~P1(f5(a3),f6(a4,a3),f6(a3,a3))),
% 1.48/1.53 inference(scs_inference,[],[52,74,72,59,779,769,672,473,681,535,19,20,3,8,9])).
% 1.48/1.53 cnf(790,plain,
% 1.48/1.53 (~E(a2,f6(a3,a1))),
% 1.48/1.53 inference(scs_inference,[],[52,74,72,59,779,769,672,473,681,535,19,20,3,8,9,2])).
% 1.48/1.53 cnf(791,plain,
% 1.48/1.53 (~P1(f6(a3,a4),a4,f6(a2,a1))),
% 1.48/1.53 inference(scs_inference,[],[52,74,72,59,779,717,769,672,702,473,681,535,19,20,3,8,9,2,7])).
% 1.48/1.53 cnf(793,plain,
% 1.48/1.53 (E(f6(f5(a1),a3),f6(a4,a2))),
% 1.48/1.53 inference(scs_inference,[],[55,16,18])).
% 1.48/1.53 cnf(796,plain,
% 1.48/1.53 (~P1(a4,f6(a3,a4),f6(a2,a1))),
% 1.48/1.53 inference(scs_inference,[],[55,74,72,791,16,18,20])).
% 1.48/1.53 cnf(800,plain,
% 1.48/1.53 (P1(f6(a3,a4),f5(f5(a4)),f6(a3,a4))),
% 1.48/1.53 inference(scs_inference,[],[55,74,72,791,776,90,16,18,20,19])).
% 1.48/1.53 cnf(802,plain,
% 1.48/1.53 (~E(f6(a1,f6(a1,a2)),f6(a3,a1))),
% 1.48/1.53 inference(scs_inference,[],[55,74,72,791,776,790,433,90,16,18,20,19,3])).
% 1.48/1.53 cnf(803,plain,
% 1.48/1.53 (~E(f6(f6(a1,a2),a4),f6(a2,a1))),
% 1.48/1.53 inference(scs_inference,[],[55,74,72,59,791,776,790,433,90,16,18,20,19,3,9])).
% 1.48/1.53 cnf(807,plain,
% 1.48/1.53 (E(f6(f5(x8071),x8071),f5(a4))),
% 1.48/1.53 inference(scs_inference,[],[55,65,74,72,59,423,791,744,773,776,778,790,433,90,16,18,20,19,3,9,8,7,2])).
% 1.48/1.53 cnf(811,plain,
% 1.48/1.53 (P1(f6(a3,x8111),f6(f6(a1,a2),x8111),a4)),
% 1.48/1.53 inference(rename_variables,[],[72])).
% 1.48/1.53 cnf(813,plain,
% 1.48/1.53 (~P1(f6(a3,a1),f6(a2,a1),f6(a4,a1))),
% 1.48/1.53 inference(scs_inference,[],[76,65,74,72,631,501,404,13,18,19,20])).
% 1.48/1.53 cnf(817,plain,
% 1.48/1.53 (E(a3,f6(f6(a4,a1),f6(a1,a3)))),
% 1.48/1.53 inference(scs_inference,[],[76,65,74,72,631,501,277,432,404,13,18,19,20,3])).
% 1.48/1.53 cnf(819,plain,
% 1.48/1.53 (P1(f6(a3,f5(a3)),a4,f5(a4))),
% 1.48/1.53 inference(scs_inference,[],[76,65,74,72,59,631,501,779,277,432,404,13,18,19,20,3,9])).
% 1.48/1.53 cnf(822,plain,
% 1.48/1.53 (P1(f6(a3,f5(a3)),a4,a4)),
% 1.48/1.53 inference(scs_inference,[],[76,65,74,72,811,59,803,631,501,779,277,778,432,404,13,18,19,20,3,9,2,8])).
% 1.48/1.53 cnf(830,plain,
% 1.48/1.53 (~P1(f6(a2,a1),f5(a4),f6(a1,a2))),
% 1.48/1.53 inference(scs_inference,[],[59,76,462,159,178,20,18])).
% 1.48/1.53 cnf(834,plain,
% 1.48/1.53 (P1(f6(f6(a1,a2),x8341),f6(a3,x8341),a4)),
% 1.48/1.53 inference(rename_variables,[],[74])).
% 1.48/1.53 cnf(837,plain,
% 1.48/1.53 (E(f6(f5(x8371),x8371),a4)),
% 1.48/1.53 inference(scs_inference,[],[59,76,74,462,796,807,143,159,178,12,20,18,19,3])).
% 1.48/1.53 cnf(840,plain,
% 1.48/1.53 (P1(f6(a4,a1),a3,f6(a4,a2))),
% 1.48/1.53 inference(scs_inference,[],[59,76,78,74,834,462,793,796,807,662,143,159,178,12,20,18,19,3,7,9])).
% 1.48/1.53 cnf(841,plain,
% 1.48/1.53 (E(f6(a4,a2),f6(f5(a1),a3))),
% 1.48/1.53 inference(scs_inference,[],[59,76,78,74,834,462,793,796,807,662,143,159,178,12,20,18,19,3,7,9,2])).
% 1.48/1.53 cnf(848,plain,
% 1.48/1.53 (P1(f6(a3,f5(a3)),f6(a1,a2),f6(a1,a2))),
% 1.48/1.53 inference(scs_inference,[],[59,741,822,117,11,19,20])).
% 1.48/1.53 cnf(850,plain,
% 1.48/1.53 (E(f6(a4,a2),f6(f6(a4,a1),f6(a1,a2)))),
% 1.48/1.53 inference(scs_inference,[],[59,840,741,822,117,298,11,19,20,18])).
% 1.48/1.53 cnf(853,plain,
% 1.48/1.53 (~E(f6(a1,a3),f6(a3,a1))),
% 1.48/1.53 inference(scs_inference,[],[59,802,840,741,822,117,283,298,11,19,20,18,3])).
% 1.48/1.53 cnf(856,plain,
% 1.48/1.53 (~P1(f6(a3,a1),f6(f6(a4,a2),a1),f6(a4,a1))),
% 1.48/1.53 inference(scs_inference,[],[59,65,813,802,840,837,741,822,117,323,283,298,11,19,20,18,3,7,8])).
% 1.48/1.53 cnf(858,plain,
% 1.48/1.53 (~E(f6(f6(a3,a1),f6(a2,a1)),f6(a4,a1))),
% 1.48/1.53 inference(scs_inference,[],[59,65,813,802,840,837,741,822,117,323,283,298,11,16,19,20,18,3,7,8,9])).
% 1.48/1.53 cnf(860,plain,
% 1.48/1.53 (~E(f6(a3,a1),f6(a1,f6(a1,a2)))),
% 1.48/1.53 inference(scs_inference,[],[59,65,813,802,840,837,741,822,117,323,283,298,11,16,19,20,18,3,7,8,9,2])).
% 1.48/1.53 cnf(861,plain,
% 1.48/1.53 (~P1(f6(a1,a3),f6(f5(a4),f5(a4)),f6(a3,a1))),
% 1.48/1.53 inference(scs_inference,[],[727,853,18])).
% 1.48/1.53 cnf(863,plain,
% 1.48/1.53 (~P1(f6(a4,a2),f6(a3,a3),f6(a4,a2))),
% 1.48/1.53 inference(scs_inference,[],[727,853,439,303,18,19])).
% 1.48/1.53 cnf(866,plain,
% 1.48/1.53 (P1(f6(f6(a1,a2),x8661),f6(a3,x8661),a4)),
% 1.48/1.53 inference(rename_variables,[],[74])).
% 1.48/1.53 cnf(869,plain,
% 1.48/1.53 (E(a4,f6(f5(a4),f5(a4)))),
% 1.48/1.53 inference(scs_inference,[],[81,74,72,727,853,651,724,439,303,18,19,20,3])).
% 1.48/1.53 cnf(873,plain,
% 1.48/1.53 (P1(f6(a3,f5(a3)),f5(a4),f5(a4))),
% 1.48/1.53 inference(scs_inference,[],[81,74,72,850,727,853,686,651,819,724,439,303,158,18,19,20,3,2,7,8])).
% 1.48/1.53 cnf(874,plain,
% 1.48/1.53 (P1(f6(f6(a1,a2),x8741),f6(a3,x8741),f5(a4))),
% 1.48/1.53 inference(scs_inference,[],[81,74,866,72,850,727,853,686,651,819,724,439,303,158,18,19,20,3,2,7,8,9])).
% 1.48/1.53 cnf(885,plain,
% 1.48/1.53 (~P1(f6(a2,a1),f6(a1,a2),a4)),
% 1.48/1.53 inference(scs_inference,[],[65,74,81,593,860,706,654,281,298,13,20,18,19,9])).
% 1.48/1.53 cnf(886,plain,
% 1.48/1.53 (~E(f6(a3,a1),f6(a4,a2))),
% 1.48/1.53 inference(scs_inference,[],[65,74,81,593,860,841,786,706,654,281,298,13,20,18,19,9,3])).
% 1.48/1.53 cnf(890,plain,
% 1.48/1.53 (~E(f5(f6(a1,a2)),a3)),
% 1.48/1.53 inference(scs_inference,[],[65,74,81,858,593,860,841,786,764,706,547,654,646,281,298,13,20,18,19,9,3,2,7,8,99])).
% 1.48/1.53 cnf(893,plain,
% 1.48/1.53 (~P1(f6(a3,f5(a3)),f6(a1,a2),f6(a2,a1))),
% 1.48/1.53 inference(scs_inference,[],[848,581,830,787,162,221,19,20])).
% 1.48/1.53 cnf(896,plain,
% 1.48/1.53 (E(a4,f6(a3,f5(a3)))),
% 1.48/1.53 inference(scs_inference,[],[848,581,830,787,162,221,178,19,20,18])).
% 1.48/1.53 cnf(899,plain,
% 1.48/1.53 (~P1(f6(a4,a2),f6(f6(a1,a2),f6(a1,a2)),f6(a4,a2))),
% 1.48/1.53 inference(scs_inference,[],[78,863,848,581,830,787,162,221,178,19,20,18,8])).
% 1.48/1.53 cnf(901,plain,
% 1.48/1.53 (~E(f6(f6(a1,a2),f6(a4,a1)),f6(a4,a2))),
% 1.48/1.53 inference(scs_inference,[],[65,78,863,886,848,581,830,787,717,538,162,221,178,19,20,18,8,9,3])).
% 1.48/1.53 cnf(905,plain,
% 1.48/1.53 (~P1(f6(a1,f6(a4,a3)),f6(a4,a4),f6(a3,a1))),
% 1.48/1.53 inference(scs_inference,[],[728,853,18])).
% 1.48/1.53 cnf(907,plain,
% 1.48/1.53 (P1(a4,f6(a3,f5(a3)),f5(a4))),
% 1.48/1.53 inference(scs_inference,[],[72,728,874,873,853,18,19])).
% 1.48/1.53 cnf(908,plain,
% 1.48/1.53 (P1(f6(f6(a1,a2),x9081),f6(a3,x9081),f5(a4))),
% 1.48/1.53 inference(rename_variables,[],[874])).
% 1.48/1.53 cnf(911,plain,
% 1.48/1.53 (P1(f6(a3,f5(a3)),f6(a4,a3),f6(a4,a3))),
% 1.48/1.53 inference(scs_inference,[],[72,728,874,873,853,564,18,19,20])).
% 1.48/1.53 cnf(917,plain,
% 1.48/1.53 (P1(a4,f5(f5(a4)),f5(a4))),
% 1.48/1.53 inference(scs_inference,[],[90,78,72,81,728,874,908,873,333,853,564,18,19,20,7,8,9])).
% 1.48/1.53 cnf(918,plain,
% 1.48/1.53 (E(a3,f6(a1,f6(a1,a3)))),
% 1.48/1.53 inference(scs_inference,[],[90,78,72,81,728,874,908,873,817,333,853,564,323,18,19,20,7,8,9,3])).
% 1.48/1.53 cnf(920,plain,
% 1.48/1.53 (~E(f6(a4,a2),f6(f6(a1,a2),f6(a4,a1)))),
% 1.48/1.53 inference(scs_inference,[],[90,78,72,81,901,728,874,908,873,817,333,853,564,323,18,19,20,7,8,9,3,2])).
% 1.48/1.53 cnf(935,plain,
% 1.48/1.53 (~E(f6(a4,a2),f6(a3,a1))),
% 1.48/1.53 inference(scs_inference,[],[74,72,81,363,899,920,789,780,736,918,256,746,840,717,432,20,18,19,2,7,8,9,3])).
% 1.48/1.53 cnf(954,plain,
% 1.48/1.53 (~P1(f5(f5(a4)),f6(a3,a1),f6(a4,a2))),
% 1.48/1.53 inference(scs_inference,[],[935,221,18])).
% 1.48/1.53 cnf(955,plain,
% 1.48/1.53 (P1(f5(f5(a4)),x9551,x9551)),
% 1.48/1.53 inference(rename_variables,[],[221])).
% 1.48/1.53 cnf(958,plain,
% 1.48/1.53 (P1(f5(f5(a4)),x9581,x9581)),
% 1.48/1.53 inference(rename_variables,[],[221])).
% 1.48/1.53 cnf(963,plain,
% 1.48/1.53 (E(a3,f6(f5(a4),f6(a1,a2)))),
% 1.48/1.53 inference(scs_inference,[],[935,893,800,691,848,238,119,221,955,958,18,19,20,3])).
% 1.48/1.53 cnf(967,plain,
% 1.48/1.53 (P1(f6(a1,a3),f5(a2),f5(a4))),
% 1.48/1.53 inference(scs_inference,[],[96,935,893,442,800,691,431,896,848,238,119,114,221,955,958,18,19,20,3,2,7,8])).
% 1.48/1.53 cnf(969,plain,
% 1.48/1.53 (P1(f6(a3,x9691),f6(f6(a1,a2),x9691),f5(a4))),
% 1.48/1.53 inference(scs_inference,[],[72,96,81,935,893,442,800,691,431,896,848,238,119,114,221,955,958,18,19,20,3,2,7,8,9])).
% 1.48/1.53 cnf(971,plain,
% 1.48/1.53 (P1(f6(a4,a4),f5(a4),f5(a4))),
% 1.48/1.53 inference(scs_inference,[],[967,745,20])).
% 1.48/1.53 cnf(973,plain,
% 1.48/1.53 (E(f5(a4),f6(f6(a1,a2),f5(a3)))),
% 1.48/1.53 inference(scs_inference,[],[96,967,745,341,20,18])).
% 1.48/1.53 cnf(975,plain,
% 1.48/1.53 (P1(x9751,f5(x9751),f5(a4))),
% 1.48/1.53 inference(rename_variables,[],[96])).
% 1.48/1.53 cnf(980,plain,
% 1.48/1.53 (E(f6(f5(a1),a3),f6(a1,a3))),
% 1.48/1.53 inference(scs_inference,[],[96,975,967,680,745,535,386,341,20,18,19,3])).
% 1.48/1.53 cnf(981,plain,
% 1.48/1.53 (P1(f6(f6(a1,a3),f6(a1,a3)),f5(a4),f6(a2,a2))),
% 1.48/1.53 inference(scs_inference,[],[96,975,622,967,680,745,535,386,341,178,20,18,19,3,9])).
% 1.48/1.53 cnf(990,plain,
% 1.48/1.53 (~P1(f5(a4),f6(a3,f6(a4,a4)),f6(a2,a1))),
% 1.48/1.53 inference(scs_inference,[],[74,96,981,969,688,19,20])).
% 1.48/1.53 cnf(1001,plain,
% 1.48/1.53 (E(f6(a1,a3),f6(f5(a1),a3))),
% 1.48/1.53 inference(scs_inference,[],[74,95,96,861,980,885,981,969,721,869,688,853,367,339,19,20,18,3,8,9,2])).
% 1.48/1.53 cnf(1012,plain,
% 1.48/1.53 (E(a3,f6(f5(a4),a3))),
% 1.48/1.53 inference(scs_inference,[],[95,96,694,990,963,917,532,283,281,221,18,19,20,3])).
% 1.48/1.53 cnf(1026,plain,
% 1.48/1.53 (~E(f6(a3,a1),f6(a1,a3))),
% 1.48/1.53 inference(scs_inference,[],[905,1001,728,786,555,178,221,20,19,3])).
% 1.48/1.53 cnf(1030,plain,
% 1.48/1.53 (~P1(f6(a1,a2),a3,f6(f5(a4),f5(a4)))),
% 1.48/1.53 inference(scs_inference,[],[905,1001,200,973,971,1012,728,786,661,574,555,178,221,20,19,3,2,7,8,9])).
% 1.48/1.53 cnf(1042,plain,
% 1.48/1.53 ($false),
% 1.48/1.53 inference(scs_inference,[],[96,1026,890,911,856,954,1030,907,122,869,177,601,164,717,285,20,19,3,2,7,8,9]),
% 1.48/1.53 ['proof']).
% 1.48/1.53 % SZS output end Proof
% 1.48/1.53 % Total time :0.880000s
%------------------------------------------------------------------------------