TSTP Solution File: BOO003-4 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : BOO003-4 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n014.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 : Wed Aug 30 18:05:18 EDT 2023
% Result : Unsatisfiable 61.64s 61.78s
% Output : CNFRefutation 61.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : BOO003-4 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 08:01:02 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 61.64/61.77 %-------------------------------------------
% 61.64/61.77 % File :CSE---1.6
% 61.64/61.77 % Problem :theBenchmark
% 61.64/61.77 % Transform :cnf
% 61.64/61.77 % Format :tptp:raw
% 61.64/61.77 % Command :java -jar mcs_scs.jar %d %s
% 61.64/61.77
% 61.64/61.77 % Result :Theorem 61.130000s
% 61.64/61.77 % Output :CNFRefutation 61.130000s
% 61.64/61.77 %-------------------------------------------
% 61.64/61.77 %--------------------------------------------------------------------------
% 61.64/61.77 % File : BOO003-4 : TPTP v8.1.2. Released v1.1.0.
% 61.64/61.77 % Domain : Boolean Algebra
% 61.64/61.77 % Problem : Multiplication is idempotent (X * X = X)
% 61.64/61.77 % Version : [Ver94] (equality) axioms.
% 61.64/61.77 % English :
% 61.64/61.77
% 61.64/61.78 % Refs : [Ver94] Veroff (1994), Problem Set
% 61.64/61.78 % Source : [Ver94]
% 61.64/61.78 % Names : TA [Ver94]
% 61.64/61.78
% 61.64/61.78 % Status : Unsatisfiable
% 61.64/61.78 % Rating : 0.00 v8.1.0, 0.05 v7.5.0, 0.04 v7.4.0, 0.09 v7.3.0, 0.05 v7.1.0, 0.00 v6.0.0, 0.10 v5.5.0, 0.05 v5.4.0, 0.00 v2.1.0, 0.13 v2.0.0
% 61.64/61.78 % Syntax : Number of clauses : 9 ( 9 unt; 0 nHn; 1 RR)
% 61.64/61.78 % Number of literals : 9 ( 9 equ; 1 neg)
% 61.64/61.78 % Maximal clause size : 1 ( 1 avg)
% 61.64/61.78 % Maximal term depth : 3 ( 1 avg)
% 61.64/61.78 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 61.64/61.78 % Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% 61.64/61.78 % Number of variables : 14 ( 0 sgn)
% 61.64/61.78 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 61.64/61.78
% 61.64/61.78 % Comments :
% 61.64/61.78 %--------------------------------------------------------------------------
% 61.64/61.78 %----Include boolean algebra axioms for equality formulation
% 61.64/61.78 include('Axioms/BOO004-0.ax').
% 61.64/61.78 %--------------------------------------------------------------------------
% 61.64/61.78 cnf(prove_a_times_a_is_a,negated_conjecture,
% 61.64/61.78 multiply(a,a) != a ).
% 61.64/61.78
% 61.64/61.78 %--------------------------------------------------------------------------
% 61.64/61.78 %-------------------------------------------
% 61.64/61.78 % Proof found
% 61.64/61.78 % SZS status Theorem for theBenchmark
% 61.64/61.78 % SZS output start Proof
% 61.64/61.78 %ClaNum:17(EqnAxiom:8)
% 61.64/61.78 %VarNum:30(SingletonVarNum:14)
% 61.64/61.78 %MaxLitNum:1
% 61.64/61.78 %MaxfuncDepth:2
% 61.64/61.78 %SharedTerms:5
% 61.64/61.78 %goalClause: 17
% 61.64/61.78 %singleGoalClaCount:1
% 61.64/61.78 [17]~E(f6(a3,a3),a3)
% 61.64/61.78 [9]E(f2(x91,a1),x91)
% 61.64/61.78 [10]E(f6(x101,a4),x101)
% 61.64/61.78 [11]E(f2(x111,f5(x111)),a4)
% 61.64/61.78 [12]E(f6(x121,f5(x121)),a1)
% 61.64/61.78 [13]E(f2(x131,x132),f2(x132,x131))
% 61.64/61.78 [14]E(f6(x141,x142),f6(x142,x141))
% 61.64/61.78 [15]E(f6(f2(x151,x152),f2(x151,x153)),f2(x151,f6(x152,x153)))
% 61.64/61.78 [16]E(f2(f6(x161,x162),f6(x161,x163)),f6(x161,f2(x162,x163)))
% 61.64/61.78 %EqnAxiom
% 61.64/61.78 [1]E(x11,x11)
% 61.64/61.78 [2]E(x22,x21)+~E(x21,x22)
% 61.64/61.78 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 61.64/61.78 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 61.64/61.78 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 61.64/61.78 [6]~E(x61,x62)+E(f6(x61,x63),f6(x62,x63))
% 61.64/61.78 [7]~E(x71,x72)+E(f6(x73,x71),f6(x73,x72))
% 61.64/61.78 [8]~E(x81,x82)+E(f5(x81),f5(x82))
% 61.64/61.78
% 61.64/61.78 %-------------------------------------------
% 61.64/61.79 cnf(18,plain,
% 61.64/61.79 (E(x181,f2(x181,a1))),
% 61.64/61.79 inference(scs_inference,[],[9,2])).
% 61.64/61.79 cnf(19,plain,
% 61.64/61.79 (~E(f6(a3,a3),f2(a3,a1))),
% 61.64/61.79 inference(scs_inference,[],[17,9,2,3])).
% 61.64/61.79 cnf(20,plain,
% 61.64/61.79 (E(f2(x201,a1),x201)),
% 61.64/61.79 inference(rename_variables,[],[9])).
% 61.64/61.79 cnf(21,plain,
% 61.64/61.79 (E(f5(f2(x211,a1)),f5(x211))),
% 61.64/61.79 inference(scs_inference,[],[17,9,20,2,3,8])).
% 61.64/61.79 cnf(22,plain,
% 61.64/61.79 (E(f6(x221,f2(x222,a1)),f6(x221,x222))),
% 61.64/61.79 inference(scs_inference,[],[17,9,20,2,3,8,7])).
% 61.64/61.79 cnf(23,plain,
% 61.64/61.79 (E(f6(f2(x231,a1),x232),f6(x231,x232))),
% 61.64/61.79 inference(scs_inference,[],[17,9,20,2,3,8,7,6])).
% 61.64/61.79 cnf(24,plain,
% 61.64/61.79 (E(f2(x241,f2(x242,a1)),f2(x241,x242))),
% 61.64/61.79 inference(scs_inference,[],[17,9,20,2,3,8,7,6,5])).
% 61.64/61.79 cnf(25,plain,
% 61.64/61.79 (E(f2(f2(x251,a1),x252),f2(x251,x252))),
% 61.64/61.79 inference(scs_inference,[],[17,9,20,2,3,8,7,6,5,4])).
% 61.64/61.79 cnf(26,plain,
% 61.64/61.79 (~E(a3,f6(a3,a3))),
% 61.64/61.79 inference(scs_inference,[],[17,2])).
% 61.64/61.79 cnf(27,plain,
% 61.64/61.79 (~E(f2(a3,a1),f6(a3,a3))),
% 61.64/61.79 inference(scs_inference,[],[17,18,2,3])).
% 61.64/61.79 cnf(29,plain,
% 61.64/61.79 (E(x291,f6(x291,a4))),
% 61.64/61.79 inference(scs_inference,[],[10,2])).
% 61.64/61.79 cnf(30,plain,
% 61.64/61.79 (E(f2(f6(x301,a4),a1),x301)),
% 61.64/61.79 inference(scs_inference,[],[9,10,2,3])).
% 61.64/61.79 cnf(32,plain,
% 61.64/61.79 (~E(f2(a3,a1),f2(f6(a3,a3),a1))),
% 61.64/61.79 inference(scs_inference,[],[9,27,3])).
% 61.64/61.79 cnf(34,plain,
% 61.64/61.79 (~E(f2(f6(a3,a3),a1),f2(a3,a1))),
% 61.64/61.79 inference(scs_inference,[],[9,27,3,2])).
% 61.64/61.79 cnf(35,plain,
% 61.64/61.79 (E(a4,f2(x351,f5(x351)))),
% 61.64/61.79 inference(scs_inference,[],[11,2])).
% 61.64/61.79 cnf(36,plain,
% 61.64/61.79 (~E(f2(a1,f6(a3,a3)),f2(a3,a1))),
% 61.64/61.79 inference(scs_inference,[],[13,11,34,2,3])).
% 61.64/61.79 cnf(38,plain,
% 61.64/61.79 (E(f6(f6(x381,a4),x382),f6(x381,x382))),
% 61.64/61.79 inference(scs_inference,[],[10,13,11,34,2,3,6])).
% 61.64/61.79 cnf(39,plain,
% 61.64/61.79 (E(f2(x391,f6(x392,a4)),f2(x391,x392))),
% 61.64/61.79 inference(scs_inference,[],[10,13,11,34,2,3,6,5])).
% 61.64/61.79 cnf(40,plain,
% 61.64/61.79 (E(f5(f6(x401,a4)),f5(x401))),
% 61.64/61.79 inference(scs_inference,[],[10,13,11,34,2,3,6,5,8])).
% 61.64/61.79 cnf(41,plain,
% 61.64/61.79 (E(f6(x411,f6(x412,a4)),f6(x411,x412))),
% 61.64/61.79 inference(scs_inference,[],[10,13,11,34,2,3,6,5,8,7])).
% 61.64/61.79 cnf(42,plain,
% 61.64/61.79 (E(f2(f6(x421,a4),x422),f2(x421,x422))),
% 61.64/61.79 inference(scs_inference,[],[10,13,11,34,2,3,6,5,8,7,4])).
% 61.64/61.79 cnf(43,plain,
% 61.64/61.79 (~E(f2(a3,a1),f2(a1,f6(a3,a3)))),
% 61.64/61.79 inference(scs_inference,[],[36,2])).
% 61.64/61.79 cnf(44,plain,
% 61.64/61.79 (E(f6(f6(x441,x442),a4),f6(x442,x441))),
% 61.64/61.79 inference(scs_inference,[],[10,14,36,2,3])).
% 61.64/61.79 cnf(46,plain,
% 61.64/61.79 (E(f5(x461),f5(f2(x461,a1)))),
% 61.64/61.79 inference(scs_inference,[],[21,2])).
% 61.64/61.79 cnf(47,plain,
% 61.64/61.79 (E(f2(f5(x471),x471),a4)),
% 61.64/61.79 inference(scs_inference,[],[11,21,13,2,3])).
% 61.64/61.79 cnf(50,plain,
% 61.64/61.79 (~E(f2(f2(a3,a1),a1),f2(a1,f6(a3,a3)))),
% 61.64/61.79 inference(scs_inference,[],[18,43,3])).
% 61.64/61.79 cnf(52,plain,
% 61.64/61.79 (~E(f2(a1,f6(a3,a3)),f2(f2(a3,a1),a1))),
% 61.64/61.79 inference(scs_inference,[],[18,43,3,2])).
% 61.64/61.79 cnf(53,plain,
% 61.64/61.79 (E(a1,f6(x531,f5(x531)))),
% 61.64/61.79 inference(scs_inference,[],[12,2])).
% 61.64/61.79 cnf(54,plain,
% 61.64/61.79 (E(f6(x541,f5(x541)),f2(a1,a1))),
% 61.64/61.79 inference(scs_inference,[],[12,18,2,3])).
% 61.64/61.79 cnf(56,plain,
% 61.64/61.79 (E(f5(f6(x561,f5(x561))),f5(a1))),
% 61.64/61.79 inference(scs_inference,[],[12,18,2,3,8])).
% 61.64/61.79 cnf(58,plain,
% 61.64/61.79 (E(f6(f6(x581,f5(x581)),x582),f6(a1,x582))),
% 61.64/61.79 inference(scs_inference,[],[12,18,2,3,8,7,6])).
% 61.64/61.79 cnf(59,plain,
% 61.64/61.79 (E(f2(x591,f6(x592,f5(x592))),f2(x591,a1))),
% 61.64/61.79 inference(scs_inference,[],[12,18,2,3,8,7,6,5])).
% 61.64/61.79 cnf(60,plain,
% 61.64/61.79 (E(f2(f6(x601,f5(x601)),x602),f2(a1,x602))),
% 61.64/61.79 inference(scs_inference,[],[12,18,2,3,8,7,6,5,4])).
% 61.64/61.79 cnf(61,plain,
% 61.64/61.79 (E(f6(x611,f2(f5(x611),a1)),a1)),
% 61.64/61.79 inference(scs_inference,[],[12,22,3])).
% 61.64/61.79 cnf(64,plain,
% 61.64/61.79 (~E(f2(a1,a3),f2(f6(a3,a3),a1))),
% 61.64/61.79 inference(scs_inference,[],[13,32,3])).
% 61.64/61.79 cnf(66,plain,
% 61.64/61.79 (~E(f2(f6(a3,a3),a1),f2(a1,a3))),
% 61.64/61.79 inference(scs_inference,[],[13,32,3,2])).
% 61.64/61.79 cnf(67,plain,
% 61.64/61.79 (E(f6(x671,x672),f6(f2(x671,a1),x672))),
% 61.64/61.79 inference(scs_inference,[],[23,2])).
% 61.64/61.79 cnf(68,plain,
% 61.64/61.79 (E(f6(f2(f2(x681,x682),a1),f2(x681,x683)),f2(x681,f6(x682,x683)))),
% 61.64/61.79 inference(scs_inference,[],[23,15,2,3])).
% 61.64/61.79 cnf(70,plain,
% 61.64/61.79 (~E(f6(a3,a3),f2(a3,f2(a1,a1)))),
% 61.64/61.79 inference(scs_inference,[],[19,24,3])).
% 61.64/61.79 cnf(72,plain,
% 61.64/61.79 (E(f6(f6(x721,x722),x723),f6(f6(x722,x721),x723))),
% 61.64/61.79 inference(scs_inference,[],[14,19,24,3,6])).
% 61.64/61.79 cnf(73,plain,
% 61.64/61.79 (E(f2(x731,f6(x732,x733)),f2(x731,f6(x733,x732)))),
% 61.64/61.79 inference(scs_inference,[],[14,19,24,3,6,5])).
% 61.64/61.79 cnf(74,plain,
% 61.64/61.79 (E(f5(f6(x741,x742)),f5(f6(x742,x741)))),
% 61.64/61.79 inference(scs_inference,[],[14,19,24,3,6,5,8])).
% 61.64/61.79 cnf(75,plain,
% 61.64/61.79 (E(f6(x751,f6(x752,x753)),f6(x751,f6(x753,x752)))),
% 61.64/61.79 inference(scs_inference,[],[14,19,24,3,6,5,8,7])).
% 61.64/61.79 cnf(76,plain,
% 61.64/61.79 (E(f2(f6(x761,x762),x763),f2(f6(x762,x761),x763))),
% 61.64/61.79 inference(scs_inference,[],[14,19,24,3,6,5,8,7,4])).
% 61.64/61.79 cnf(77,plain,
% 61.64/61.79 (~E(f2(a3,f2(a1,a1)),f6(a3,a3))),
% 61.64/61.79 inference(scs_inference,[],[14,19,24,3,6,5,8,7,4,2])).
% 61.64/61.79 cnf(78,plain,
% 61.64/61.79 (E(f6(x781,f2(x782,x783)),f2(f6(x781,x782),f6(x781,x783)))),
% 61.64/61.79 inference(scs_inference,[],[16,2])).
% 61.64/61.79 cnf(79,plain,
% 61.64/61.79 (~E(f2(f2(f6(a3,a3),a1),a1),f2(a1,a3))),
% 61.64/61.79 inference(scs_inference,[],[16,18,66,2,3])).
% 61.64/61.79 cnf(82,plain,
% 61.64/61.79 (E(f2(f2(x821,a1),f2(x822,a1)),f2(x821,x822))),
% 61.64/61.79 inference(scs_inference,[],[25,24,79,2,3])).
% 61.64/61.79 cnf(84,plain,
% 61.64/61.79 (E(f2(x841,f6(x842,x843)),f6(f2(x841,x842),f2(x841,x843)))),
% 61.64/61.79 inference(scs_inference,[],[15,2])).
% 61.64/61.80 cnf(85,plain,
% 61.64/61.80 (~E(f2(f2(a3,a1),a1),f6(f2(a1,a3),f2(a1,a3)))),
% 61.64/61.80 inference(scs_inference,[],[15,50,2,3])).
% 61.64/61.80 cnf(87,plain,
% 61.64/61.80 (~E(f6(f2(a1,a3),f2(a1,a3)),f2(f2(a3,a1),a1))),
% 61.64/61.80 inference(scs_inference,[],[85,2])).
% 61.64/61.80 cnf(88,plain,
% 61.64/61.80 (~E(f2(a3,a1),f6(f2(a1,a3),f2(a1,a3)))),
% 61.64/61.80 inference(scs_inference,[],[25,85,2,3])).
% 61.64/61.80 cnf(90,plain,
% 61.64/61.80 (E(f6(x901,x902),f6(x901,f2(x902,a1)))),
% 61.64/61.80 inference(scs_inference,[],[25,18,85,2,3,7])).
% 61.64/61.80 cnf(91,plain,
% 61.64/61.80 (E(f6(x911,x912),f6(f6(x911,a4),x912))),
% 61.64/61.80 inference(scs_inference,[],[25,18,85,29,2,3,7,6])).
% 61.64/61.80 cnf(92,plain,
% 61.64/61.80 (E(f2(x921,x922),f2(x921,f2(x922,a1)))),
% 61.64/61.80 inference(scs_inference,[],[25,18,85,29,2,3,7,6,5])).
% 61.64/61.80 cnf(93,plain,
% 61.64/61.80 (E(f5(x931),f5(f6(x931,a4)))),
% 61.64/61.80 inference(scs_inference,[],[25,18,85,29,2,3,7,6,5,8])).
% 61.64/61.80 cnf(94,plain,
% 61.64/61.80 (E(f2(x941,x942),f2(f2(x941,a1),x942))),
% 61.64/61.80 inference(scs_inference,[],[25,18,85,29,2,3,7,6,5,8,4])).
% 61.64/61.80 cnf(95,plain,
% 61.64/61.80 (E(f2(x951,f6(x952,x953)),f6(f2(f2(x951,x952),a1),f2(x951,x953)))),
% 61.64/61.80 inference(scs_inference,[],[68,2])).
% 61.64/61.80 cnf(96,plain,
% 61.64/61.80 (E(f2(f6(x961,x962),f6(x961,a1)),f6(x961,x962))),
% 61.64/61.80 inference(scs_inference,[],[16,22,68,2,3])).
% 61.64/61.80 cnf(98,plain,
% 61.64/61.80 (~E(f6(f2(a1,a3),f2(a1,a3)),f2(a3,a1))),
% 61.64/61.80 inference(scs_inference,[],[88,2])).
% 61.64/61.80 cnf(99,plain,
% 61.64/61.80 (E(f5(f6(f2(x991,a1),a4)),f5(x991))),
% 61.64/61.80 inference(scs_inference,[],[21,88,40,2,3])).
% 61.64/61.80 cnf(101,plain,
% 61.64/61.80 (E(f6(x1011,x1012),f2(f6(x1011,x1012),f6(x1011,a1)))),
% 61.64/61.80 inference(scs_inference,[],[96,2])).
% 61.64/61.80 cnf(102,plain,
% 61.64/61.80 (~E(f2(f2(a3,a1),a1),f6(a3,a3))),
% 61.64/61.80 inference(scs_inference,[],[18,27,96,2,3])).
% 61.64/61.80 cnf(104,plain,
% 61.64/61.80 (~E(f6(a3,a3),f2(f2(a3,a1),a1))),
% 61.64/61.80 inference(scs_inference,[],[102,2])).
% 61.64/61.80 cnf(105,plain,
% 61.64/61.80 (E(f6(f2(x1051,a1),f2(x1052,a1)),f6(x1051,x1052))),
% 61.64/61.80 inference(scs_inference,[],[22,23,102,2,3])).
% 61.64/61.80 cnf(107,plain,
% 61.64/61.80 (E(f2(x1071,x1072),f2(x1071,f6(x1072,a4)))),
% 61.64/61.80 inference(scs_inference,[],[22,23,29,102,2,3,5])).
% 61.64/61.80 cnf(108,plain,
% 61.64/61.80 (E(f6(x1081,x1082),f6(x1081,f6(x1082,a4)))),
% 61.64/61.80 inference(scs_inference,[],[22,23,29,102,2,3,5,7])).
% 61.64/61.80 cnf(110,plain,
% 61.64/61.80 (E(f6(f2(f6(x1101,a4),a1),x1102),f6(x1101,x1102))),
% 61.64/61.80 inference(scs_inference,[],[22,23,29,102,30,2,3,5,7,8,6])).
% 61.64/61.80 cnf(111,plain,
% 61.64/61.80 (E(f2(x1111,x1112),f2(f6(x1111,a4),x1112))),
% 61.64/61.80 inference(scs_inference,[],[22,23,29,102,30,2,3,5,7,8,6,4])).
% 61.64/61.80 cnf(112,plain,
% 61.64/61.80 (E(f6(x1121,x1122),f6(f2(f6(x1121,a4),a1),x1122))),
% 61.64/61.80 inference(scs_inference,[],[110,2])).
% 61.64/61.80 cnf(113,plain,
% 61.64/61.80 (~E(a3,f6(a3,f2(a3,a1)))),
% 61.64/61.80 inference(scs_inference,[],[26,22,110,2,3])).
% 61.64/61.80 cnf(116,plain,
% 61.64/61.80 (~E(f6(a3,a4),f6(a3,a3))),
% 61.64/61.80 inference(scs_inference,[],[26,29,113,2,3])).
% 61.64/61.80 cnf(118,plain,
% 61.64/61.80 (~E(a4,a3)),
% 61.64/61.80 inference(scs_inference,[],[26,29,113,2,3,7])).
% 61.64/61.80 cnf(119,plain,
% 61.64/61.80 (E(f6(x1191,f2(f6(x1192,a4),a1)),f6(x1191,x1192))),
% 61.64/61.80 inference(scs_inference,[],[30,7])).
% 61.64/61.80 cnf(120,plain,
% 61.64/61.80 (E(x1201,f2(f6(x1201,a4),a1))),
% 61.64/61.80 inference(scs_inference,[],[30,7,2])).
% 61.64/61.80 cnf(121,plain,
% 61.64/61.80 (E(f5(f2(x1211,a1)),f6(f5(x1211),a4))),
% 61.64/61.80 inference(scs_inference,[],[21,30,29,7,2,3])).
% 61.64/61.80 cnf(123,plain,
% 61.64/61.80 (~E(f6(a3,a3),f6(a3,a4))),
% 61.64/61.80 inference(scs_inference,[],[116,2])).
% 61.64/61.80 cnf(124,plain,
% 61.64/61.80 (~E(f2(a3,a1),f2(f6(a3,a3),f2(a1,a1)))),
% 61.64/61.80 inference(scs_inference,[],[32,24,116,2,3])).
% 61.64/61.80 cnf(126,plain,
% 61.64/61.80 (E(f2(x1261,f2(f6(x1262,a4),a1)),f2(x1261,x1262))),
% 61.64/61.80 inference(scs_inference,[],[32,24,30,116,2,3,5])).
% 61.64/61.80 cnf(127,plain,
% 61.64/61.80 (E(f5(x1271),f5(f2(f6(x1271,a4),a1)))),
% 61.64/61.80 inference(scs_inference,[],[32,24,30,120,116,2,3,5,8])).
% 61.64/61.80 cnf(128,plain,
% 61.64/61.80 (E(f6(a4,x1281),f6(f2(x1282,f5(x1282)),x1281))),
% 61.64/61.80 inference(scs_inference,[],[32,24,30,120,116,35,2,3,5,8,6])).
% 61.64/61.80 cnf(129,plain,
% 61.64/61.80 (E(f2(f2(f6(x1291,a4),a1),x1292),f2(x1291,x1292))),
% 61.64/61.80 inference(scs_inference,[],[32,24,30,120,116,35,2,3,5,8,6,4])).
% 61.64/61.80 cnf(130,plain,
% 61.64/61.80 (~E(a3,a4)),
% 61.64/61.80 inference(scs_inference,[],[32,24,30,120,116,35,2,3,5,8,6,4,7])).
% 61.64/61.80 cnf(131,plain,
% 61.64/61.80 (E(f6(x1311,f2(f5(x1312),x1312)),f6(x1311,a4))),
% 61.64/61.80 inference(scs_inference,[],[47,7])).
% 61.64/61.80 cnf(132,plain,
% 61.64/61.80 (E(f6(x1321,x1322),f6(x1321,f2(f6(x1322,a4),a1)))),
% 61.64/61.80 inference(scs_inference,[],[119,47,7,2])).
% 61.64/61.80 cnf(133,plain,
% 61.64/61.80 (~E(f6(f2(a3,a1),a4),f6(a3,a3))),
% 61.64/61.80 inference(scs_inference,[],[27,29,119,47,7,2,3])).
% 61.64/61.80 cnf(135,plain,
% 61.64/61.80 (~E(f2(f6(a3,a3),f2(a1,a1)),f2(a3,a1))),
% 61.64/61.80 inference(scs_inference,[],[124,2])).
% 61.64/61.80 cnf(136,plain,
% 61.64/61.80 (E(f6(f2(x1361,a1),x1362),f6(f6(x1361,x1362),a4))),
% 61.64/61.80 inference(scs_inference,[],[23,29,124,2,3])).
% 61.64/61.80 cnf(139,plain,
% 61.64/61.80 (~E(a3,f6(f2(a3,a1),a3))),
% 61.64/61.80 inference(scs_inference,[],[23,26,126,2,3])).
% 61.64/61.80 cnf(142,plain,
% 61.64/61.80 (~E(f6(a3,a3),f6(f2(a3,a1),a4))),
% 61.64/61.80 inference(scs_inference,[],[133,2])).
% 61.64/61.80 cnf(143,plain,
% 61.64/61.80 (~E(f6(f2(f6(a3,a3),a1),a4),f2(a3,a1))),
% 61.64/61.80 inference(scs_inference,[],[34,29,133,2,3])).
% 61.64/61.80 cnf(145,plain,
% 61.64/61.80 (E(f6(f2(f5(x1451),x1451),x1452),f6(a4,x1452))),
% 61.64/61.80 inference(scs_inference,[],[34,29,133,47,2,3,6])).
% 61.64/61.80 cnf(148,plain,
% 61.64/61.80 (E(f2(a4,x1481),f2(f2(x1482,f5(x1482)),x1481))),
% 61.64/61.80 inference(scs_inference,[],[34,35,29,133,47,2,3,6,5,8,4])).
% 61.64/61.80 cnf(154,plain,
% 61.64/61.80 (E(f2(f6(a4,a4),a1),f2(x1541,f5(x1541)))),
% 61.64/61.80 inference(scs_inference,[],[35,30,143,2,3])).
% 61.64/61.80 cnf(156,plain,
% 61.64/61.80 (E(f2(x1561,x1562),f2(f2(x1561,a1),f2(x1562,a1)))),
% 61.64/61.80 inference(scs_inference,[],[82,2])).
% 61.64/61.80 cnf(157,plain,
% 61.64/61.80 (~E(f6(f2(a1,f6(a3,a3)),a4),f2(a3,a1))),
% 61.64/61.80 inference(scs_inference,[],[36,29,82,2,3])).
% 61.64/61.80 cnf(159,plain,
% 61.64/61.80 (E(f6(x1591,a4),f6(x1591,f2(x1592,f5(x1592))))),
% 61.64/61.80 inference(scs_inference,[],[36,35,29,82,2,3,7])).
% 61.64/61.80 cnf(161,plain,
% 61.64/61.80 (E(f6(f6(x1611,a4),x1612),f6(f6(x1611,x1612),a4))),
% 61.64/61.80 inference(scs_inference,[],[38,29,157,2,3])).
% 61.64/61.80 cnf(164,plain,
% 61.64/61.80 (E(f6(a1,x1641),f6(f6(x1642,f5(x1642)),x1641))),
% 61.64/61.80 inference(scs_inference,[],[38,29,157,53,2,3,8,6])).
% 61.64/61.80 cnf(167,plain,
% 61.64/61.80 (E(f6(x1671,x1672),f6(f2(x1671,a1),f2(x1672,a1)))),
% 61.64/61.80 inference(scs_inference,[],[105,2])).
% 61.64/61.80 cnf(168,plain,
% 61.64/61.80 (~E(a3,f6(f6(a3,a4),a3))),
% 61.64/61.80 inference(scs_inference,[],[26,38,105,2,3])).
% 61.64/61.80 cnf(171,plain,
% 61.64/61.80 (~E(f6(f2(a3,a1),a4),f2(f6(a3,a3),a1))),
% 61.64/61.80 inference(scs_inference,[],[32,29,168,2,3])).
% 61.64/61.80 cnf(174,plain,
% 61.64/61.80 (E(f2(f6(x1741,a4),f6(a1,a4)),x1741)),
% 61.64/61.80 inference(scs_inference,[],[39,30,99,2,3])).
% 61.64/61.80 cnf(177,plain,
% 61.64/61.80 (~E(f2(f6(a3,a3),a1),f6(f2(a3,a1),a4))),
% 61.64/61.80 inference(scs_inference,[],[171,2])).
% 61.64/61.80 cnf(178,plain,
% 61.64/61.80 (~E(f2(f6(a3,a3),a1),f2(a3,f6(a1,a4)))),
% 61.64/61.80 inference(scs_inference,[],[39,34,171,2,3])).
% 61.64/61.80 cnf(180,plain,
% 61.64/61.80 (E(f2(x1801,f2(f6(x1802,a4),f6(a1,a4))),f2(x1801,x1802))),
% 61.64/61.80 inference(scs_inference,[],[39,34,171,174,2,3,5])).
% 61.64/61.80 cnf(181,plain,
% 61.64/61.80 (E(f5(f2(f6(x1811,a4),f6(a1,a4))),f5(x1811))),
% 61.64/61.80 inference(scs_inference,[],[39,34,171,174,2,3,5,8])).
% 61.64/61.80 cnf(182,plain,
% 61.64/61.80 (E(f6(f2(f6(x1821,a4),f6(a1,a4)),x1822),f6(x1821,x1822))),
% 61.64/61.80 inference(scs_inference,[],[39,34,171,174,2,3,5,8,6])).
% 61.64/61.80 cnf(183,plain,
% 61.64/61.80 (E(f2(f2(f6(x1831,a4),f6(a1,a4)),x1832),f2(x1831,x1832))),
% 61.64/61.80 inference(scs_inference,[],[39,34,171,174,2,3,5,8,6,4])).
% 61.64/61.80 cnf(184,plain,
% 61.64/61.80 (E(f2(x1841,x1842),f2(x1841,f2(f6(x1842,a4),f6(a1,a4))))),
% 61.64/61.80 inference(scs_inference,[],[180,2])).
% 61.64/61.80 cnf(185,plain,
% 61.64/61.80 (~E(f6(a4,a4),a3)),
% 61.64/61.80 inference(scs_inference,[],[29,118,180,2,3])).
% 61.64/61.80 cnf(187,plain,
% 61.64/61.80 (~E(f2(a3,f6(a1,a4)),f2(f6(a3,a3),a1))),
% 61.64/61.80 inference(scs_inference,[],[178,2])).
% 61.64/61.80 cnf(188,plain,
% 61.64/61.80 (E(f6(f6(x1881,a4),f6(x1882,a4)),f6(x1881,x1882))),
% 61.64/61.80 inference(scs_inference,[],[41,38,178,2,3])).
% 61.64/61.80 cnf(190,plain,
% 61.64/61.80 (E(f6(x1901,x1902),f6(f2(f6(x1901,a4),f6(a1,a4)),x1902))),
% 61.64/61.80 inference(scs_inference,[],[182,2])).
% 61.64/61.80 cnf(191,plain,
% 61.64/61.80 (~E(f2(a3,f2(a1,a1)),f6(a3,f6(a3,a4)))),
% 61.64/61.80 inference(scs_inference,[],[41,77,182,2,3])).
% 61.64/61.80 cnf(193,plain,
% 61.64/61.80 (E(f6(x1931,f2(x1932,x1933)),f6(x1931,f2(x1933,x1932)))),
% 61.64/61.80 inference(scs_inference,[],[41,77,182,13,2,3,7])).
% 61.64/61.80 cnf(195,plain,
% 61.64/61.80 (~E(f2(f6(a3,a4),a1),a4)),
% 61.64/61.80 inference(scs_inference,[],[130,191,120,2,3])).
% 61.64/61.80 cnf(198,plain,
% 61.64/61.80 (E(f2(f2(f5(x1981),x1981),x1982),f2(a4,x1982))),
% 61.64/61.80 inference(scs_inference,[],[130,191,120,47,11,2,3,6,4])).
% 61.64/61.80 cnf(201,plain,
% 61.64/61.80 (E(f2(x2011,x2012),f2(f2(f6(x2011,a4),f6(a1,a4)),x2012))),
% 61.64/61.80 inference(scs_inference,[],[183,2])).
% 61.64/61.80 cnf(202,plain,
% 61.64/61.80 (E(f2(f6(x2021,a4),f6(x2022,a4)),f2(x2021,x2022))),
% 61.64/61.80 inference(scs_inference,[],[42,39,183,2,3])).
% 61.64/61.80 cnf(204,plain,
% 61.64/61.80 (~E(a3,f6(a4,a4))),
% 61.64/61.80 inference(scs_inference,[],[185,2])).
% 61.64/61.80 cnf(205,plain,
% 61.64/61.80 (~E(f2(f6(a3,a3),a1),f2(f6(a3,a4),a1))),
% 61.64/61.80 inference(scs_inference,[],[34,42,185,2,3])).
% 61.64/61.80 cnf(207,plain,
% 61.64/61.80 (E(f5(x2071),f5(f2(f6(x2071,a4),f6(a1,a4))))),
% 61.64/61.80 inference(scs_inference,[],[181,2])).
% 61.64/61.80 cnf(208,plain,
% 61.64/61.80 (~E(f6(f2(f6(a3,a4),f6(a1,a4)),a3),f6(a3,a4))),
% 61.64/61.80 inference(scs_inference,[],[190,181,123,2,3])).
% 61.64/61.80 cnf(210,plain,
% 61.64/61.80 (E(f6(x2101,f2(f6(x2102,a4),f6(a1,a4))),f6(x2101,x2102))),
% 61.64/61.80 inference(scs_inference,[],[190,181,123,174,2,3,7])).
% 61.64/61.80 cnf(212,plain,
% 61.64/61.80 (E(a4,f2(x2121,f5(f6(x2121,a4))))),
% 61.64/61.80 inference(scs_inference,[],[35,42,205,2,3])).
% 61.64/61.80 cnf(215,plain,
% 61.64/61.80 (E(f2(x2151,f2(x2152,x2153)),f2(x2151,f2(x2153,x2152)))),
% 61.64/61.80 inference(scs_inference,[],[35,42,205,13,2,3,5])).
% 61.64/61.80 cnf(216,plain,
% 61.64/61.80 (E(f5(f2(x2161,x2162)),f5(f2(x2162,x2161)))),
% 61.64/61.80 inference(scs_inference,[],[35,42,205,13,2,3,5,8])).
% 61.64/61.80 cnf(217,plain,
% 61.64/61.80 (E(f6(f2(x2171,x2172),x2173),f6(f2(x2172,x2171),x2173))),
% 61.64/61.80 inference(scs_inference,[],[35,42,205,13,2,3,5,8,6])).
% 61.64/61.80 cnf(218,plain,
% 61.64/61.80 (E(f2(f2(x2181,x2182),x2183),f2(f2(x2182,x2181),x2183))),
% 61.64/61.80 inference(scs_inference,[],[35,42,205,13,2,3,5,8,6,4])).
% 61.64/61.80 cnf(220,plain,
% 61.64/61.80 (E(f2(a4,a1),f2(x2201,f5(x2201)))),
% 61.64/61.80 inference(scs_inference,[],[35,44,9,2,3])).
% 61.64/61.80 cnf(223,plain,
% 61.64/61.80 (~E(f2(f6(a3,a3),f6(a3,a1)),f2(a3,f2(a1,a1)))),
% 61.64/61.80 inference(scs_inference,[],[70,101,208,2,3])).
% 61.64/61.80 cnf(225,plain,
% 61.64/61.80 (E(f6(x2251,x2252),f6(x2251,f2(f6(x2252,a4),f6(a1,a4))))),
% 61.64/61.80 inference(scs_inference,[],[210,2])).
% 61.64/61.80 cnf(226,plain,
% 61.64/61.80 (E(f5(x2261),f5(f2(a1,x2261)))),
% 61.64/61.80 inference(scs_inference,[],[46,216,210,2,3])).
% 61.64/61.80 cnf(229,plain,
% 61.64/61.80 (~E(f2(a3,f2(a1,a1)),f2(f6(a3,a3),f6(a3,a1)))),
% 61.64/61.80 inference(scs_inference,[],[223,2])).
% 61.64/61.80 cnf(230,plain,
% 61.64/61.80 (E(f5(f6(a4,x2301)),f5(x2301))),
% 61.64/61.80 inference(scs_inference,[],[40,74,223,2,3])).
% 61.64/61.80 cnf(236,plain,
% 61.64/61.80 (E(a4,f2(f5(x2361),x2361))),
% 61.64/61.80 inference(scs_inference,[],[47,2])).
% 61.64/61.80 cnf(237,plain,
% 61.64/61.80 (~E(f2(f6(a3,a4),a1),f6(a4,a4))),
% 61.64/61.80 inference(scs_inference,[],[47,204,120,2,3])).
% 61.64/61.80 cnf(239,plain,
% 61.64/61.80 (E(f6(x2391,a4),f6(x2391,f2(f5(x2392),x2392)))),
% 61.64/61.80 inference(scs_inference,[],[47,204,120,2,3,7])).
% 61.64/61.80 cnf(240,plain,
% 61.64/61.80 (E(f6(a4,x2401),f6(f2(f5(x2402),x2402),x2401))),
% 61.64/61.80 inference(scs_inference,[],[47,204,120,2,3,7,6])).
% 61.64/61.80 cnf(242,plain,
% 61.64/61.80 (E(f6(f6(f6(x2421,a4),x2422),a4),f6(x2422,x2421))),
% 61.64/61.80 inference(scs_inference,[],[44,41,237,2,3])).
% 61.64/61.80 cnf(244,plain,
% 61.64/61.80 (E(f6(x2441,x2442),f6(f6(x2441,a4),f6(x2442,a4)))),
% 61.64/61.80 inference(scs_inference,[],[188,2])).
% 61.64/61.80 cnf(245,plain,
% 61.64/61.80 (E(f5(f6(x2451,a4)),f5(f2(x2451,a1)))),
% 61.64/61.80 inference(scs_inference,[],[46,40,188,2,3])).
% 61.64/61.80 cnf(248,plain,
% 61.64/61.80 (~E(f2(f2(a1,a3),a1),f2(a1,f6(a3,a3)))),
% 61.64/61.80 inference(scs_inference,[],[50,218,139,2,3])).
% 61.64/61.80 cnf(250,plain,
% 61.64/61.80 (E(f5(a4),f5(f2(f5(x2501),x2501)))),
% 61.64/61.80 inference(scs_inference,[],[50,218,236,139,2,3,8])).
% 61.64/61.80 cnf(251,plain,
% 61.64/61.80 (E(f2(a4,x2511),f2(f2(f5(x2512),x2512),x2511))),
% 61.64/61.80 inference(scs_inference,[],[50,218,236,139,2,3,8,4])).
% 61.64/61.80 cnf(253,plain,
% 61.64/61.80 (E(f2(x2531,x2532),f2(f6(x2531,a4),f6(x2532,a4)))),
% 61.64/61.80 inference(scs_inference,[],[202,2])).
% 61.64/61.80 cnf(254,plain,
% 61.64/61.80 (E(f6(f6(x2541,x2542),f6(a4,a4)),f6(x2542,x2541))),
% 61.64/61.80 inference(scs_inference,[],[44,41,202,2,3])).
% 61.64/61.80 cnf(257,plain,
% 61.64/61.80 (~E(f2(f6(a3,a3),a1),f6(f2(a3,a1),f6(a4,a4)))),
% 61.64/61.80 inference(scs_inference,[],[41,177,248,2,3])).
% 61.64/61.80 cnf(259,plain,
% 61.64/61.80 (E(f6(x2591,x2592),f6(f6(x2592,x2591),f6(a4,a4)))),
% 61.64/61.80 inference(scs_inference,[],[254,2])).
% 61.64/61.80 cnf(260,plain,
% 61.64/61.80 (~E(f6(f2(a3,a1),f2(a3,a4)),f2(f6(a3,a3),a1))),
% 61.64/61.80 inference(scs_inference,[],[84,254,187,2,3])).
% 61.64/61.80 cnf(263,plain,
% 61.64/61.80 (E(f2(f6(f5(x2631),a4),x2631),a4)),
% 61.64/61.80 inference(scs_inference,[],[42,47,257,2,3])).
% 61.64/61.80 cnf(265,plain,
% 61.64/61.80 (E(f2(a1,a1),f6(x2651,f5(x2651)))),
% 61.64/61.80 inference(scs_inference,[],[54,2])).
% 61.64/61.80 cnf(266,plain,
% 61.64/61.80 (E(f6(f6(f5(x2661),x2661),a4),f2(a1,a1))),
% 61.64/61.80 inference(scs_inference,[],[54,44,2,3])).
% 61.64/61.80 cnf(269,plain,
% 61.64/61.80 (~E(f2(f6(a3,a3),a1),f6(f2(a3,a1),f2(a3,a4)))),
% 61.64/61.80 inference(scs_inference,[],[260,2])).
% 61.64/61.80 cnf(270,plain,
% 61.64/61.80 (~E(f6(f6(a3,a3),f6(a4,a4)),f2(f2(a3,a1),a1))),
% 61.64/61.80 inference(scs_inference,[],[259,104,260,2,3])).
% 61.64/61.80 cnf(273,plain,
% 61.64/61.80 (E(f6(x2731,f5(x2731)),f6(x2732,f5(x2732)))),
% 61.64/61.80 inference(scs_inference,[],[54,265,226,2,3])).
% 61.64/61.80 cnf(274,plain,
% 61.64/61.80 (~E(f2(f2(a3,a1),a1),f6(f6(a3,a3),f6(a4,a4)))),
% 61.64/61.80 inference(scs_inference,[],[270,2])).
% 61.64/61.80 cnf(275,plain,
% 61.64/61.80 (~E(f2(f6(a3,a4),a1),f2(f5(x2751),x2751))),
% 61.64/61.80 inference(scs_inference,[],[47,270,195,2,3])).
% 61.64/61.80 cnf(276,plain,
% 61.64/61.80 (~E(f6(a3,a4),f5(a1))),
% 61.64/61.80 inference(scs_inference,[],[47,270,195,2,3,4])).
% 61.64/61.80 cnf(277,plain,
% 61.64/61.80 (E(f5(x2771),f5(f6(a4,x2771)))),
% 61.64/61.80 inference(scs_inference,[],[230,2])).
% 61.64/61.80 cnf(278,plain,
% 61.64/61.80 (~E(f2(f6(a4,a3),a1),f2(f5(x2781),x2781))),
% 61.64/61.80 inference(scs_inference,[],[76,275,230,2,3])).
% 61.64/61.80 cnf(280,plain,
% 61.64/61.80 (~E(f5(a1),f6(a3,a4))),
% 61.64/61.80 inference(scs_inference,[],[276,2])).
% 61.64/61.80 cnf(281,plain,
% 61.64/61.80 (E(f6(x2811,f2(x2812,x2813)),f2(f6(x2811,x2812),f6(x2813,x2811)))),
% 61.64/61.80 inference(scs_inference,[],[78,73,276,2,3])).
% 61.64/61.80 cnf(284,plain,
% 61.64/61.80 (E(f2(f6(x2841,x2842),f6(x2843,x2841)),f6(x2841,f2(x2842,x2843)))),
% 61.64/61.80 inference(scs_inference,[],[281,2])).
% 61.64/61.80 cnf(285,plain,
% 61.64/61.80 (~E(f6(a3,a4),f5(f6(x2851,f5(x2851))))),
% 61.64/61.80 inference(scs_inference,[],[56,281,276,2,3])).
% 61.64/61.80 cnf(287,plain,
% 61.64/61.80 (~E(f2(f2(f6(a1,a4),f6(a1,a4)),f6(a3,a3)),f2(f2(a3,a1),a1))),
% 61.64/61.80 inference(scs_inference,[],[52,285,201,2,3])).
% 61.64/61.80 cnf(289,plain,
% 61.64/61.80 (~E(f6(a4,a3),f5(a1))),
% 61.64/61.80 inference(scs_inference,[],[52,285,201,278,2,3,4])).
% 61.64/61.80 cnf(291,plain,
% 61.64/61.80 (E(f5(f2(x2911,a1)),f5(f6(x2911,a4)))),
% 61.64/61.80 inference(scs_inference,[],[245,2])).
% 61.64/61.80 cnf(296,plain,
% 61.64/61.80 (~E(f2(f2(a3,a1),a1),f2(f6(x2961,f5(x2961)),f6(a3,a3)))),
% 61.64/61.80 inference(scs_inference,[],[50,60,287,2,3])).
% 61.64/61.80 cnf(299,plain,
% 61.64/61.80 (~E(f6(f2(a1,a3),f2(a3,a1)),f2(a3,a1))),
% 61.64/61.80 inference(scs_inference,[],[193,98,266,2,3])).
% 61.64/61.80 cnf(301,plain,
% 61.64/61.80 (~E(f2(a3,a1),f6(f2(a1,a3),f2(a3,a1)))),
% 61.64/61.80 inference(scs_inference,[],[299,2])).
% 61.64/61.80 cnf(302,plain,
% 61.64/61.80 (E(f2(x3021,f6(x3022,x3023)),f6(f2(a1,f2(x3021,x3022)),f2(x3021,x3023)))),
% 61.64/61.80 inference(scs_inference,[],[217,299,95,2,3])).
% 61.64/61.80 cnf(305,plain,
% 61.64/61.80 (~E(f2(a3,a1),f2(f6(x3051,f5(x3051)),f6(a3,a3)))),
% 61.64/61.80 inference(scs_inference,[],[61,60,43,2,3])).
% 61.64/61.80 cnf(307,plain,
% 61.64/61.80 (~E(f2(f6(x3071,f5(x3071)),f6(a3,a3)),f2(a3,a1))),
% 61.64/61.80 inference(scs_inference,[],[305,2])).
% 61.64/61.80 cnf(308,plain,
% 61.64/61.80 (~E(f6(a4,f2(f6(a3,a4),f6(a1,a4))),f5(a1))),
% 61.64/61.80 inference(scs_inference,[],[305,225,289,2,3])).
% 61.64/61.80 cnf(310,plain,
% 61.64/61.80 (E(f6(f2(a1,f2(x3101,x3102)),f2(x3101,x3103)),f2(x3101,f6(x3102,x3103)))),
% 61.64/61.80 inference(scs_inference,[],[302,2])).
% 61.64/61.80 cnf(311,plain,
% 61.64/61.80 (E(f2(x3111,x3112),f2(f2(x3111,a1),f2(a1,x3112)))),
% 61.64/61.80 inference(scs_inference,[],[215,302,156,2,3])).
% 61.64/61.80 cnf(315,plain,
% 61.64/61.80 (E(f6(f6(x3151,f5(x3151)),f5(a1)),f2(a1,a1))),
% 61.64/61.80 inference(scs_inference,[],[54,58,296,2,3])).
% 61.64/61.80 cnf(318,plain,
% 61.64/61.80 (E(f2(f2(x3181,a1),f2(a1,x3182)),f2(x3181,x3182))),
% 61.64/61.80 inference(scs_inference,[],[311,2])).
% 61.64/61.80 cnf(319,plain,
% 61.64/61.80 (~E(f2(f6(a3,a3),f2(f6(a1,a4),f6(a1,a4))),f2(a1,a3))),
% 61.64/61.80 inference(scs_inference,[],[66,184,311,2,3])).
% 61.64/61.80 cnf(322,plain,
% 61.64/61.80 (E(f2(f6(x3221,x3222),f6(x3223,x3221)),f6(f2(x3221,a1),f2(x3222,x3223)))),
% 61.64/61.80 inference(scs_inference,[],[67,284,319,2,3])).
% 61.64/61.80 cnf(325,plain,
% 61.64/61.80 (E(f6(f2(x3251,a1),f2(x3252,x3253)),f2(f6(x3251,x3252),f6(x3253,x3251)))),
% 61.64/61.80 inference(scs_inference,[],[322,2])).
% 61.64/61.80 cnf(326,plain,
% 61.64/61.80 (~E(f2(f6(a3,a3),a1),f6(a3,f2(a3,a4)))),
% 61.64/61.80 inference(scs_inference,[],[67,322,269,2,3])).
% 61.64/61.80 cnf(329,plain,
% 61.64/61.80 (~E(f2(a1,f2(a3,a1)),f2(f6(a3,a3),a1))),
% 61.64/61.80 inference(scs_inference,[],[64,92,326,2,3])).
% 61.64/61.80 cnf(331,plain,
% 61.64/61.80 (E(f2(a1,a1),f6(f6(x3311,f5(x3311)),f5(a1)))),
% 61.64/61.80 inference(scs_inference,[],[315,2])).
% 61.64/61.80 cnf(332,plain,
% 61.64/61.80 (E(f6(f2(x3321,x3322),x3321),f2(x3321,f6(x3322,a1)))),
% 61.64/61.80 inference(scs_inference,[],[68,167,315,2,3])).
% 61.64/61.80 cnf(336,plain,
% 61.64/61.80 (E(f6(f6(f5(x3361),x3361),x3362),f6(a1,x3362))),
% 61.64/61.80 inference(scs_inference,[],[58,72,329,2,3])).
% 61.64/61.80 cnf(339,plain,
% 61.64/61.80 (E(f2(x3391,f6(x3392,a1)),f6(f2(x3391,x3392),x3391))),
% 61.64/61.80 inference(scs_inference,[],[332,2])).
% 61.64/61.80 cnf(340,plain,
% 61.64/61.80 (~E(f6(f2(a3,a1),a3),f2(a3,f2(a1,a1)))),
% 61.64/61.80 inference(scs_inference,[],[70,67,332,2,3])).
% 61.64/61.80 cnf(343,plain,
% 61.64/61.80 (E(f2(f2(x3431,x3432),f6(a1,a1)),f2(x3431,f6(x3432,x3432)))),
% 61.64/61.80 inference(scs_inference,[],[68,339,340,2,3])).
% 61.64/61.80 cnf(346,plain,
% 61.64/61.80 (E(f2(x3461,f6(x3462,x3462)),f2(f2(x3461,x3462),f6(a1,a1)))),
% 61.64/61.80 inference(scs_inference,[],[343,2])).
% 61.64/61.80 cnf(347,plain,
% 61.64/61.80 (~E(f2(a1,a3),f2(f6(a3,a3),f6(x3471,f5(x3471))))),
% 61.64/61.80 inference(scs_inference,[],[59,64,343,2,3])).
% 61.64/61.80 cnf(350,plain,
% 61.64/61.80 (~E(f2(f2(a1,a1),a3),f2(f6(a3,a3),a1))),
% 61.64/61.80 inference(scs_inference,[],[64,347,94,2,3])).
% 61.64/61.80 cnf(353,plain,
% 61.64/61.80 (E(f2(f6(x3531,f5(x3531)),f6(x3532,x3533)),f2(a1,f6(x3533,x3532)))),
% 61.64/61.80 inference(scs_inference,[],[60,73,336,2,3])).
% 61.64/61.80 cnf(357,plain,
% 61.64/61.80 (~E(f6(a3,a4),f5(f6(f5(x3571),x3571)))),
% 61.64/61.80 inference(scs_inference,[],[74,350,285,2,3])).
% 61.64/61.80 cnf(360,plain,
% 61.64/61.80 (~E(f2(f6(a3,a3),f6(a1,a4)),f2(a1,a3))),
% 61.64/61.80 inference(scs_inference,[],[66,107,353,2,3])).
% 61.64/61.80 cnf(363,plain,
% 61.64/61.80 (E(f6(f2(f2(x3631,x3632),a1),f2(x3631,x3633)),f2(x3631,f6(x3633,x3632)))),
% 61.64/61.80 inference(scs_inference,[],[73,68,357,2,3])).
% 61.64/61.80 cnf(365,plain,
% 61.64/61.80 (E(f2(x3651,f6(x3652,x3653)),f6(f2(f2(x3651,x3653),a1),f2(x3651,x3652)))),
% 61.64/61.80 inference(scs_inference,[],[363,2])).
% 61.64/61.80 cnf(366,plain,
% 61.64/61.80 (~E(f2(a3,a1),f6(f2(a3,a1),f2(f5(a3),a3)))),
% 61.64/61.80 inference(scs_inference,[],[325,363,305,2,3])).
% 61.64/61.80 cnf(370,plain,
% 61.64/61.80 (~E(f2(f6(f5(x3701),x3701),f6(a3,a3)),f2(a3,a1))),
% 61.64/61.80 inference(scs_inference,[],[76,307,360,2,3])).
% 61.64/61.80 cnf(374,plain,
% 61.64/61.80 (E(f6(x3741,f6(x3742,x3743)),f6(f2(x3741,a1),f6(x3743,x3742)))),
% 61.64/61.80 inference(scs_inference,[],[75,67,242,2,3])).
% 61.64/61.80 cnf(377,plain,
% 61.64/61.80 (~E(f2(a3,a1),f2(f6(f5(x3771),x3771),f6(a3,a3)))),
% 61.64/61.80 inference(scs_inference,[],[370,2])).
% 61.64/61.80 cnf(378,plain,
% 61.64/61.80 (~E(f2(a3,a1),f6(a3,f2(f5(a3),a3)))),
% 61.64/61.80 inference(scs_inference,[],[67,370,366,2,3])).
% 61.64/61.80 cnf(380,plain,
% 61.64/61.80 (E(f6(f2(x3801,a1),f6(x3802,x3803)),f6(x3801,f6(x3803,x3802)))),
% 61.64/61.80 inference(scs_inference,[],[374,2])).
% 61.64/61.80 cnf(381,plain,
% 61.64/61.80 (~E(f2(f6(a3,a4),f2(a1,a1)),f6(a3,a3))),
% 61.64/61.80 inference(scs_inference,[],[77,111,374,2,3])).
% 61.64/61.80 cnf(383,plain,
% 61.64/61.80 (~E(f6(a3,a3),f2(f6(a3,a4),f2(a1,a1)))),
% 61.64/61.80 inference(scs_inference,[],[381,2])).
% 61.64/61.80 cnf(384,plain,
% 61.64/61.80 (E(f6(x3841,f2(x3842,x3843)),f2(f6(x3842,x3841),f6(x3841,x3843)))),
% 61.64/61.80 inference(scs_inference,[],[78,76,381,2,3])).
% 61.64/61.80 cnf(387,plain,
% 61.64/61.80 (E(f2(f6(x3871,x3872),f6(x3872,x3873)),f6(x3872,f2(x3871,x3873)))),
% 61.64/61.80 inference(scs_inference,[],[384,2])).
% 61.64/61.80 cnf(388,plain,
% 61.64/61.80 (~E(f2(a3,f2(a1,a1)),f6(a3,f2(a3,a1)))),
% 61.64/61.80 inference(scs_inference,[],[78,384,229,2,3])).
% 61.64/61.80 cnf(391,plain,
% 61.64/61.80 (~E(f6(a3,f2(a3,a1)),f2(f6(a3,a4),f2(a1,a1)))),
% 61.64/61.80 inference(scs_inference,[],[383,388,90,2,3])).
% 61.64/61.80 cnf(394,plain,
% 61.64/61.80 (E(f6(f2(a1,f2(x3941,x3942)),f2(x3941,x3943)),f2(x3941,f6(x3943,x3942)))),
% 61.64/61.80 inference(scs_inference,[],[73,310,136,2,3])).
% 61.64/61.80 cnf(396,plain,
% 61.64/61.80 (~E(f2(f6(a3,a4),f2(a1,a1)),f6(a3,f2(a3,a1)))),
% 61.64/61.80 inference(scs_inference,[],[391,2])).
% 61.64/61.80 cnf(397,plain,
% 61.64/61.80 (~E(f2(a1,a3),f6(a3,f2(a3,f5(a3))))),
% 61.64/61.80 inference(scs_inference,[],[78,391,347,2,3])).
% 61.64/61.80 cnf(400,plain,
% 61.64/61.80 (E(f2(x4001,f6(x4002,x4003)),f6(f2(a1,f2(x4001,x4003)),f2(x4001,x4002)))),
% 61.64/61.80 inference(scs_inference,[],[394,2])).
% 61.64/61.80 cnf(401,plain,
% 61.64/61.80 (~E(f2(f6(a4,a3),f2(a1,a1)),f6(a3,f2(a3,a1)))),
% 61.64/61.80 inference(scs_inference,[],[76,396,394,2,3])).
% 61.64/61.80 cnf(403,plain,
% 61.64/61.80 (~E(f6(a3,f2(a3,a1)),f2(f6(a4,a3),f2(a1,a1)))),
% 61.64/61.80 inference(scs_inference,[],[401,2])).
% 61.64/61.80 cnf(404,plain,
% 61.64/61.80 (E(f6(x4041,f6(x4042,x4043)),f6(f6(x4041,a4),f6(x4043,x4042)))),
% 61.64/61.80 inference(scs_inference,[],[75,401,91,2,3])).
% 61.64/61.80 cnf(407,plain,
% 61.64/61.80 (E(f6(f6(x4071,a4),f6(x4072,x4073)),f6(x4071,f6(x4073,x4072)))),
% 61.64/61.80 inference(scs_inference,[],[404,2])).
% 61.64/61.80 cnf(408,plain,
% 61.64/61.80 (~E(f2(f2(a3,a1),a1),f6(f6(a3,a3),a4))),
% 61.64/61.80 inference(scs_inference,[],[274,108,404,2,3])).
% 61.64/61.80 cnf(410,plain,
% 61.64/61.80 (~E(f6(f6(a3,a3),a4),f2(f2(a3,a1),a1))),
% 61.64/61.80 inference(scs_inference,[],[408,2])).
% 61.64/61.80 cnf(411,plain,
% 61.64/61.80 (~E(f2(f6(a3,a3),f6(a3,a1)),f2(f6(a4,a3),f2(a1,a1)))),
% 61.64/61.80 inference(scs_inference,[],[78,403,408,2,3])).
% 61.64/61.80 cnf(414,plain,
% 61.64/61.80 (E(f6(x4141,f6(x4142,x4143)),f6(f2(f6(x4141,a4),a1),f6(x4143,x4142)))),
% 61.64/61.80 inference(scs_inference,[],[75,112,161,2,3])).
% 61.64/61.80 cnf(417,plain,
% 61.64/61.80 (~E(f2(f6(a4,a3),f2(a1,a1)),f2(f6(a3,a3),f6(a3,a1)))),
% 61.64/61.80 inference(scs_inference,[],[411,2])).
% 61.64/61.80 cnf(418,plain,
% 61.64/61.80 (~E(f2(f6(a3,a3),a1),f6(f2(f2(a3,a1),a1),f6(a4,a4)))),
% 61.64/61.80 inference(scs_inference,[],[411,380,257,2,3])).
% 61.64/61.80 cnf(420,plain,
% 61.64/61.80 (E(f6(f2(f6(x4201,a4),a1),f6(x4202,x4203)),f6(x4201,f6(x4203,x4202)))),
% 61.64/61.80 inference(scs_inference,[],[414,2])).
% 61.64/61.80 cnf(421,plain,
% 61.64/61.80 (~E(f2(f6(a3,a4),f2(a1,a1)),f2(f6(a3,a3),f6(a3,a1)))),
% 61.64/61.80 inference(scs_inference,[],[76,417,414,2,3])).
% 61.64/61.80 cnf(424,plain,
% 61.64/61.80 (E(f2(f2(f6(x4241,x4242),a1),f2(x4243,a1)),f2(f6(x4242,x4241),x4243))),
% 61.64/61.80 inference(scs_inference,[],[76,82,418,2,3])).
% 61.64/61.80 cnf(426,plain,
% 61.64/61.80 (E(f2(f6(x4261,x4262),x4263),f2(f2(f6(x4262,x4261),a1),f2(x4263,a1)))),
% 61.64/61.80 inference(scs_inference,[],[424,2])).
% 61.64/61.80 cnf(427,plain,
% 61.64/61.80 (~E(f6(f2(a1,a3),f2(a1,a3)),f2(f2(f2(a3,a1),a1),f2(a1,a1)))),
% 61.64/61.80 inference(scs_inference,[],[87,82,424,2,3])).
% 61.64/61.80 cnf(430,plain,
% 61.64/61.80 (~E(f5(f2(f6(a1,a4),f6(a1,a4))),f6(a3,a4))),
% 61.64/61.80 inference(scs_inference,[],[427,207,280,2,3])).
% 61.64/61.80 cnf(433,plain,
% 61.64/61.80 (E(f6(x4331,x4332),f2(f6(x4331,f6(x4332,a4)),f6(x4331,a1)))),
% 61.64/61.80 inference(scs_inference,[],[78,132,121,2,3])).
% 61.64/61.80 cnf(437,plain,
% 61.64/61.80 (~E(f2(a3,a1),f6(f2(a1,a3),a3))),
% 61.64/61.80 inference(scs_inference,[],[90,301,430,2,3])).
% 61.64/61.80 cnf(439,plain,
% 61.64/61.80 (E(f2(f6(x4391,f6(x4392,a4)),f6(x4391,a1)),f6(x4391,x4392))),
% 61.64/61.80 inference(scs_inference,[],[433,2])).
% 61.64/61.80 cnf(440,plain,
% 61.64/61.80 (~E(f6(f6(a3,a3),f2(a4,a1)),f2(f2(a3,a1),a1))),
% 61.64/61.80 inference(scs_inference,[],[90,410,433,2,3])).
% 61.64/61.80 cnf(442,plain,
% 61.64/61.80 (~E(f6(f2(a1,a3),a3),f2(a3,a1))),
% 61.64/61.80 inference(scs_inference,[],[437,2])).
% 61.64/61.80 cnf(443,plain,
% 61.64/61.80 (E(f2(x4431,f6(x4432,x4433)),f6(f6(f2(x4431,x4432),a4),f2(x4431,x4433)))),
% 61.64/61.80 inference(scs_inference,[],[84,91,437,2,3])).
% 61.64/61.80 cnf(445,plain,
% 61.64/61.80 (E(f6(f6(f2(x4451,x4452),a4),f2(x4451,x4453)),f2(x4451,f6(x4452,x4453)))),
% 61.64/61.80 inference(scs_inference,[],[443,2])).
% 61.64/61.80 cnf(446,plain,
% 61.64/61.80 (~E(f2(f2(a3,a1),a1),f6(f6(f6(a3,a3),a4),f6(a4,a4)))),
% 61.64/61.80 inference(scs_inference,[],[443,407,274,2,3])).
% 61.64/61.80 cnf(449,plain,
% 61.64/61.80 (~E(f2(a3,f2(a1,a1)),f6(f2(a1,a3),f2(a1,a3)))),
% 61.64/61.80 inference(scs_inference,[],[88,92,421,2,3])).
% 61.64/61.80 cnf(451,plain,
% 61.64/61.80 (E(f2(x4511,f5(x4511)),f2(f6(a4,a4),a1))),
% 61.64/61.80 inference(scs_inference,[],[154,2])).
% 61.64/61.80 cnf(452,plain,
% 61.64/61.80 (E(f6(x4521,x4522),f6(f6(x4521,a4),f2(x4522,a1)))),
% 61.64/61.80 inference(scs_inference,[],[91,90,154,2,3])).
% 61.64/61.80 cnf(456,plain,
% 61.64/61.80 (~E(f6(a3,a4),f5(f5(a4)))),
% 61.64/61.80 inference(scs_inference,[],[93,449,357,2,3])).
% 61.64/61.80 cnf(460,plain,
% 61.64/61.80 (~E(f6(f6(f2(a1,a3),a4),f2(a1,a3)),f2(f2(a3,a1),a1))),
% 61.64/61.80 inference(scs_inference,[],[87,91,452,2,3])).
% 61.64/61.80 cnf(463,plain,
% 61.64/61.80 (E(f5(x4631),f5(f6(a4,f6(x4631,a4))))),
% 61.64/61.80 inference(scs_inference,[],[93,446,277,2,3])).
% 61.64/61.80 cnf(466,plain,
% 61.64/61.80 (E(f2(x4661,f6(x4662,x4662)),f2(f2(f2(x4661,a1),x4662),f6(a1,a1)))),
% 61.64/61.80 inference(scs_inference,[],[94,346,463,2,3])).
% 61.64/61.80 cnf(470,plain,
% 61.64/61.80 (~E(f2(f2(a3,a1),f2(a1,a1)),f6(f2(a1,a3),f2(a1,a3)))),
% 61.64/61.80 inference(scs_inference,[],[85,92,440,2,3])).
% 61.64/61.80 cnf(473,plain,
% 61.64/61.80 (E(f2(f6(x4731,f6(x4732,a4)),f6(x4731,a1)),f6(x4731,f2(x4732,a1)))),
% 61.64/61.80 inference(scs_inference,[],[90,466,439,2,3])).
% 61.64/61.80 cnf(476,plain,
% 61.64/61.80 (E(f2(x4761,x4762),f2(f6(f2(x4761,a1),a4),f6(x4762,a4)))),
% 61.64/61.80 inference(scs_inference,[],[94,470,253,2,3])).
% 61.64/61.80 cnf(479,plain,
% 61.64/61.80 (~E(f2(a3,f2(a1,a1)),f2(f6(f5(x4791),x4791),f6(a3,a3)))),
% 61.64/61.80 inference(scs_inference,[],[92,377,473,2,3])).
% 61.64/61.80 cnf(482,plain,
% 61.64/61.80 (E(f2(f6(x4821,x4822),f6(x4821,a1)),f6(f6(x4821,a4),x4822))),
% 61.64/61.80 inference(scs_inference,[],[96,91,479,2,3])).
% 61.64/61.81 cnf(484,plain,
% 61.64/61.81 (E(f6(f6(x4841,a4),x4842),f2(f6(x4841,x4842),f6(x4841,a1)))),
% 61.64/61.81 inference(scs_inference,[],[482,2])).
% 61.64/61.81 cnf(485,plain,
% 61.64/61.81 (E(f2(f2(a1,a1),f2(a1,a1)),f6(f6(x4851,f5(x4851)),f5(a1)))),
% 61.64/61.81 inference(scs_inference,[],[482,318,331,2,3])).
% 61.64/61.81 cnf(488,plain,
% 61.64/61.81 (~E(f6(f2(a1,a3),f2(f2(a1,a3),a1)),f2(a3,a1))),
% 61.64/61.81 inference(scs_inference,[],[90,98,460,2,3])).
% 61.64/61.81 cnf(490,plain,
% 61.64/61.81 (E(f6(f6(x4901,f5(x4901)),f5(a1)),f2(f2(a1,a1),f2(a1,a1)))),
% 61.64/61.81 inference(scs_inference,[],[485,2])).
% 61.64/61.81 cnf(495,plain,
% 61.64/61.81 (~E(f2(f6(a3,a4),f2(a1,a1)),f6(f6(a3,a4),a3))),
% 61.64/61.81 inference(scs_inference,[],[488,484,421,2,3])).
% 61.64/61.81 cnf(497,plain,
% 61.64/61.81 (E(f2(f6(f2(x4971,a1),a4),f6(x4972,a4)),f2(x4971,x4972))),
% 61.64/61.81 inference(scs_inference,[],[476,2])).
% 61.64/61.81 cnf(498,plain,
% 61.64/61.81 (~E(f6(f6(f2(a1,a3),a4),f2(a1,a3)),f2(a3,a1))),
% 61.64/61.81 inference(scs_inference,[],[91,98,476,2,3])).
% 61.64/61.81 cnf(501,plain,
% 61.64/61.81 (E(f6(x5011,x5012),f2(f6(x5011,x5012),f2(f6(x5011,a1),a1)))),
% 61.64/61.81 inference(scs_inference,[],[92,101,498,2,3])).
% 61.64/61.81 cnf(503,plain,
% 61.64/61.81 (E(f2(f6(x5031,x5032),f2(f6(x5031,a1),a1)),f6(x5031,x5032))),
% 61.64/61.81 inference(scs_inference,[],[501,2])).
% 61.64/61.81 cnf(504,plain,
% 61.64/61.81 (~E(f2(f2(a3,a1),a1),f2(f6(a3,a3),f6(a3,a1)))),
% 61.64/61.81 inference(scs_inference,[],[102,96,501,2,3])).
% 61.64/61.81 cnf(514,plain,
% 61.64/61.81 (~E(f2(f2(a3,a1),a1),f6(f2(a3,a1),f2(a3,a1)))),
% 61.64/61.81 inference(scs_inference,[],[105,102,456,2,3])).
% 61.64/61.81 cnf(519,plain,
% 61.64/61.81 (~E(f6(f2(a3,a1),f2(a3,a1)),f2(f2(a3,a1),a1))),
% 61.64/61.81 inference(scs_inference,[],[514,2])).
% 61.64/61.81 cnf(520,plain,
% 61.64/61.81 (E(f2(x5201,x5202),f6(f2(f2(x5201,x5202),a1),f2(x5201,a4)))),
% 61.64/61.81 inference(scs_inference,[],[95,107,514,2,3])).
% 61.64/61.81 cnf(523,plain,
% 61.64/61.81 (E(f6(f2(f2(x5231,x5232),a1),f2(x5231,a4)),f2(x5231,x5232))),
% 61.64/61.81 inference(scs_inference,[],[520,2])).
% 61.64/61.81 cnf(524,plain,
% 61.64/61.81 (E(f2(x5241,x5242),f6(f2(f2(x5241,a4),a1),f2(x5241,x5242)))),
% 61.64/61.81 inference(scs_inference,[],[107,365,520,2,3])).
% 61.64/61.81 cnf(530,plain,
% 61.64/61.81 (E(f2(f6(x5301,x5302),f6(x5301,a1)),f6(x5301,f6(x5302,a4)))),
% 61.64/61.81 inference(scs_inference,[],[96,108,524,2,3])).
% 61.64/61.81 cnf(535,plain,
% 61.64/61.81 (E(f6(x5351,f6(x5352,a4)),f2(f6(x5351,x5352),f6(x5351,a1)))),
% 61.64/61.81 inference(scs_inference,[],[530,2])).
% 61.64/61.81 cnf(536,plain,
% 61.64/61.81 (~E(f2(f2(a3,a1),f6(a1,a4)),f6(a3,a3))),
% 61.64/61.81 inference(scs_inference,[],[107,102,530,2,3])).
% 61.64/61.81 cnf(539,plain,
% 61.64/61.81 (E(f6(x5391,x5392),f2(f6(x5391,x5392),f6(f6(x5391,a1),a4)))),
% 61.64/61.81 inference(scs_inference,[],[101,107,536,2,3])).
% 61.64/61.81 cnf(541,plain,
% 61.64/61.81 (E(f2(f6(x5411,x5412),f6(f6(x5411,a1),a4)),f6(x5411,x5412))),
% 61.64/61.81 inference(scs_inference,[],[539,2])).
% 61.64/61.81 cnf(542,plain,
% 61.64/61.81 (~E(f2(f2(a3,a1),a1),f6(a3,f6(a3,a4)))),
% 61.64/61.81 inference(scs_inference,[],[539,535,504,2,3])).
% 61.64/61.81 cnf(545,plain,
% 61.64/61.81 (~E(f2(f6(f2(a3,a1),a4),a1),f6(a3,a3))),
% 61.64/61.81 inference(scs_inference,[],[111,102,495,2,3])).
% 61.64/61.81 cnf(547,plain,
% 61.64/61.81 (E(f2(x5471,f5(x5471)),f2(a4,a1))),
% 61.64/61.81 inference(scs_inference,[],[220,2])).
% 61.64/61.81 cnf(548,plain,
% 61.64/61.81 (E(f6(x5481,x5482),f2(f6(f6(x5481,x5482),a4),f6(x5481,a1)))),
% 61.64/61.81 inference(scs_inference,[],[101,111,220,2,3])).
% 61.64/61.81 cnf(551,plain,
% 61.64/61.81 (E(f2(x5511,f5(f6(x5511,a4))),f2(a4,a1))),
% 61.64/61.81 inference(scs_inference,[],[111,547,545,2,3])).
% 61.64/61.81 cnf(555,plain,
% 61.64/61.81 (~E(f2(f6(f6(a3,a3),a4),f2(a1,a1)),f2(a3,a1))),
% 61.64/61.81 inference(scs_inference,[],[111,135,551,2,3])).
% 61.64/61.81 cnf(558,plain,
% 61.64/61.81 (E(f2(x5581,f5(x5581)),f2(f6(a4,a4),f6(a1,a4)))),
% 61.64/61.81 inference(scs_inference,[],[107,555,451,2,3])).
% 61.64/61.81 cnf(560,plain,
% 61.64/61.81 (E(f2(f6(a4,a4),f6(a1,a4)),f2(x5601,f5(x5601)))),
% 61.64/61.81 inference(scs_inference,[],[558,2])).
% 61.64/61.81 cnf(566,plain,
% 61.64/61.81 (E(f2(f6(f6(x5661,x5662),a4),f6(x5661,a1)),f6(x5661,x5662))),
% 61.64/61.81 inference(scs_inference,[],[548,2])).
% 61.64/61.81 cnf(567,plain,
% 61.64/61.81 (E(f6(x5671,f2(x5672,a1)),f6(f6(x5671,a4),x5672))),
% 61.64/61.81 inference(scs_inference,[],[105,112,548,2,3])).
% 61.64/61.81 cnf(571,plain,
% 61.64/61.81 (~E(f6(a3,a4),f6(f2(f6(a3,a4),a1),a3))),
% 61.64/61.81 inference(scs_inference,[],[116,110,378,2,3])).
% 61.64/61.81 cnf(573,plain,
% 61.64/61.81 (E(f6(f6(x5731,a4),x5732),f6(x5731,f2(x5732,a1)))),
% 61.64/61.81 inference(scs_inference,[],[567,2])).
% 61.64/61.81 cnf(577,plain,
% 61.64/61.81 (E(f6(x5771,x5772),f6(f2(f6(x5771,a4),a1),f6(x5772,a4)))),
% 61.64/61.81 inference(scs_inference,[],[108,112,571,2,3])).
% 61.64/61.81 cnf(580,plain,
% 61.64/61.81 (E(f6(f2(f6(x5801,a4),a1),f6(x5802,a4)),f6(x5801,x5802))),
% 61.64/61.81 inference(scs_inference,[],[577,2])).
% 61.64/61.81 cnf(581,plain,
% 61.64/61.81 (E(f2(a4,f6(a1,a4)),f2(x5811,f5(x5811)))),
% 61.64/61.81 inference(scs_inference,[],[111,560,577,2,3])).
% 61.64/61.81 cnf(585,plain,
% 61.64/61.81 (E(f2(x5851,f5(x5851)),f2(a4,f6(a1,a4)))),
% 61.64/61.81 inference(scs_inference,[],[581,2])).
% 61.64/61.81 cnf(590,plain,
% 61.64/61.81 (~E(f6(a3,a4),f6(a3,f2(f6(a3,a4),a1)))),
% 61.64/61.81 inference(scs_inference,[],[119,116,308,2,3])).
% 61.64/61.81 cnf(592,plain,
% 61.64/61.81 (~E(a4,f2(f6(a3,a4),a1))),
% 61.64/61.81 inference(scs_inference,[],[119,116,308,2,3,7])).
% 61.64/61.81 cnf(597,plain,
% 61.64/61.81 (E(x5971,f2(f6(f6(x5971,a4),a4),a1))),
% 61.64/61.81 inference(scs_inference,[],[111,120,590,2,3])).
% 61.64/61.81 cnf(600,plain,
% 61.64/61.81 (~E(f2(f2(a3,a1),a1),f6(f2(f6(a3,a4),a1),f6(a4,a3)))),
% 61.64/61.81 inference(scs_inference,[],[542,420,597,2,3])).
% 61.64/61.81 cnf(603,plain,
% 61.64/61.81 (~E(f2(f6(a3,a4),a1),f6(a3,f2(a3,a1)))),
% 61.64/61.81 inference(scs_inference,[],[113,120,600,2,3])).
% 61.64/61.81 cnf(606,plain,
% 61.64/61.81 (E(f5(x6061),f6(f5(f6(x6061,a4)),a4))),
% 61.64/61.81 inference(scs_inference,[],[121,127,212,2,3])).
% 61.64/61.81 cnf(609,plain,
% 61.64/61.81 (E(f2(x6091,f5(x6091)),f6(f2(a1,f2(a4,a4)),f2(a4,a1)))),
% 61.64/61.81 inference(scs_inference,[],[603,585,400,2,3])).
% 61.64/61.81 cnf(611,plain,
% 61.64/61.81 (E(f6(f2(a1,f2(a4,a4)),f2(a4,a1)),f2(x6111,f5(x6111)))),
% 61.64/61.81 inference(scs_inference,[],[609,2])).
% 61.64/61.81 cnf(612,plain,
% 61.64/61.81 (~E(f2(f6(f6(a3,a3),a4),a1),f6(a3,a4))),
% 61.64/61.81 inference(scs_inference,[],[123,120,609,2,3])).
% 61.64/61.81 cnf(615,plain,
% 61.64/61.81 (E(f5(a4),f6(f5(f5(a1)),a4))),
% 61.64/61.81 inference(scs_inference,[],[121,612,250,2,3])).
% 61.64/61.81 cnf(619,plain,
% 61.64/61.81 (~E(f6(a3,a3),f6(a3,f2(f6(a4,a4),a1)))),
% 61.64/61.81 inference(scs_inference,[],[123,119,606,2,3])).
% 61.64/61.81 cnf(621,plain,
% 61.64/61.81 (~E(a3,f2(f6(a4,a4),a1))),
% 61.64/61.81 inference(scs_inference,[],[123,119,606,2,3,7])).
% 61.64/61.81 cnf(623,plain,
% 61.64/61.81 (~E(f2(f6(f6(a3,a4),a4),a1),f6(a3,a3))),
% 61.64/61.81 inference(scs_inference,[],[116,120,619,2,3])).
% 61.64/61.81 cnf(626,plain,
% 61.64/61.81 (E(f2(f6(x6261,f6(x6262,a4)),f6(a1,x6261)),f6(x6261,x6262))),
% 61.64/61.81 inference(scs_inference,[],[119,615,284,2,3])).
% 61.64/61.81 cnf(629,plain,
% 61.64/61.81 (~E(f6(a3,a3),f2(f6(a3,a4),f2(f6(a3,a1),a1)))),
% 61.64/61.81 inference(scs_inference,[],[123,503,623,2,3])).
% 61.64/61.81 cnf(632,plain,
% 61.64/61.81 (~E(f2(f6(a4,a4),a1),f2(f6(a3,a4),a1))),
% 61.64/61.81 inference(scs_inference,[],[120,592,626,2,3])).
% 61.64/61.81 cnf(634,plain,
% 61.64/61.81 (~E(f6(a4,a4),f6(a3,a4))),
% 61.64/61.81 inference(scs_inference,[],[120,592,626,2,3,4])).
% 61.64/61.81 cnf(635,plain,
% 61.64/61.81 (~E(f6(a3,a4),f6(a4,a4))),
% 61.64/61.81 inference(scs_inference,[],[634,2])).
% 61.64/61.81 cnf(636,plain,
% 61.64/61.81 (E(f2(f6(f6(x6361,a4),x6362),f6(x6362,a1)),f6(x6362,x6361))),
% 61.64/61.81 inference(scs_inference,[],[119,634,387,2,3])).
% 61.64/61.81 cnf(638,plain,
% 61.64/61.81 (E(f6(x6381,x6382),f2(f6(f6(x6382,a4),x6381),f6(x6381,a1)))),
% 61.64/61.81 inference(scs_inference,[],[636,2])).
% 61.64/61.81 cnf(639,plain,
% 61.64/61.81 (~E(f6(a3,a3),f2(f6(a3,a4),f6(f6(a3,a1),a4)))),
% 61.64/61.81 inference(scs_inference,[],[123,541,636,2,3])).
% 61.64/61.81 cnf(642,plain,
% 61.64/61.81 (~E(f2(f6(f6(a3,a4),a4),a1),f6(a4,a4))),
% 61.64/61.81 inference(scs_inference,[],[120,635,632,2,3])).
% 61.64/61.81 cnf(644,plain,
% 61.64/61.81 (E(a4,f2(f6(f5(x6441),a4),x6441))),
% 61.64/61.81 inference(scs_inference,[],[263,2])).
% 61.64/61.81 cnf(648,plain,
% 61.64/61.81 (~E(f6(a3,a3),f6(a3,f2(f5(x6481),x6481)))),
% 61.64/61.81 inference(scs_inference,[],[131,123,629,2,3])).
% 61.64/61.81 cnf(655,plain,
% 61.64/61.81 (E(f6(f6(a4,a4),x6551),f6(f2(x6552,f5(x6552)),f2(x6551,a1)))),
% 61.64/61.81 inference(scs_inference,[],[128,639,573,2,3])).
% 61.64/61.81 cnf(659,plain,
% 61.64/61.81 (~E(f6(a3,a3),f2(f6(f6(a3,a4),a4),f6(a3,a1)))),
% 61.64/61.81 inference(scs_inference,[],[123,655,566,2,3])).
% 61.64/61.81 cnf(662,plain,
% 61.64/61.81 (~E(f6(f2(a3,a1),f2(f6(a4,a4),a1)),f6(a3,a3))),
% 61.64/61.81 inference(scs_inference,[],[133,132,659,2,3])).
% 61.64/61.81 cnf(668,plain,
% 61.64/61.81 (~E(f2(f6(a3,a3),f2(a1,a1)),f6(f2(f2(a3,a1),a1),f2(a3,a4)))),
% 61.64/61.81 inference(scs_inference,[],[135,662,523,2,3])).
% 61.64/61.81 cnf(674,plain,
% 61.64/61.81 (E(f2(f6(a4,x6741),x6742),f2(x6741,f2(x6742,a1)))),
% 61.64/61.81 inference(scs_inference,[],[129,668,426,2,3])).
% 61.64/61.81 cnf(677,plain,
% 61.64/61.81 (E(f2(x6771,f2(x6772,a1)),f2(f6(a4,x6771),x6772))),
% 61.64/61.81 inference(scs_inference,[],[674,2])).
% 61.64/61.81 cnf(678,plain,
% 61.64/61.81 (~E(f2(f2(a3,a1),a1),f6(f2(a3,a1),a3))),
% 61.64/61.81 inference(scs_inference,[],[136,674,408,2,3])).
% 61.64/61.81 cnf(681,plain,
% 61.64/61.81 (~E(f6(f6(a3,a4),a4),f6(a3,a3))),
% 61.64/61.81 inference(scs_inference,[],[133,136,678,2,3])).
% 61.64/61.81 cnf(687,plain,
% 61.64/61.81 (~E(f6(a3,a3),f6(f6(a3,a4),a4))),
% 61.64/61.81 inference(scs_inference,[],[681,2])).
% 61.64/61.81 cnf(694,plain,
% 61.64/61.81 (E(f2(f6(x6941,f5(x6942)),f6(x6942,x6941)),f6(f2(x6941,a1),a4))),
% 61.64/61.81 inference(scs_inference,[],[131,642,322,2,3])).
% 61.64/61.81 cnf(697,plain,
% 61.64/61.81 (E(f6(f2(x6971,a1),a4),f2(f6(x6971,f5(x6972)),f6(x6972,x6971)))),
% 61.64/61.81 inference(scs_inference,[],[694,2])).
% 61.64/61.81 cnf(698,plain,
% 61.64/61.81 (~E(a3,f2(a4,f2(a1,a1)))),
% 61.64/61.81 inference(scs_inference,[],[621,677,694,2,3])).
% 61.64/61.81 cnf(701,plain,
% 61.64/61.81 (~E(f6(f2(a1,a3),f2(f6(a3,a4),a1)),f2(a3,a1))),
% 61.64/61.81 inference(scs_inference,[],[132,442,648,2,3])).
% 61.64/61.81 cnf(704,plain,
% 61.64/61.81 (E(x7041,f2(f6(x7041,a4),f6(a1,a4)))),
% 61.64/61.81 inference(scs_inference,[],[174,2])).
% 61.64/61.81 cnf(705,plain,
% 61.64/61.81 (E(f6(x7051,f5(a1)),f6(f2(x7051,a1),a4))),
% 61.64/61.81 inference(scs_inference,[],[131,167,174,2,3])).
% 61.64/61.81 cnf(709,plain,
% 61.64/61.81 (~E(f2(a1,a3),f6(a3,a4))),
% 61.64/61.81 inference(scs_inference,[],[701,159,397,2,3])).
% 61.64/61.81 cnf(711,plain,
% 61.64/61.81 (E(f6(f2(x7111,a1),a4),f6(x7111,f5(a1)))),
% 61.64/61.81 inference(scs_inference,[],[705,2])).
% 61.64/61.81 cnf(714,plain,
% 61.64/61.81 (~E(f6(a3,a4),f2(a1,a3))),
% 61.64/61.81 inference(scs_inference,[],[709,2])).
% 61.64/61.81 cnf(715,plain,
% 61.64/61.81 (E(f2(a4,f6(a4,a1)),f2(x7151,f5(x7151)))),
% 61.64/61.81 inference(scs_inference,[],[709,611,302,2,3])).
% 61.64/61.81 cnf(718,plain,
% 61.64/61.81 (~E(f6(f2(a3,a1),a4),f6(f2(f6(a3,a4),a1),f6(a3,a4)))),
% 61.64/61.81 inference(scs_inference,[],[133,580,715,2,3])).
% 61.64/61.81 cnf(720,plain,
% 61.64/61.81 (~E(f6(f2(f6(a3,a4),a1),f6(a3,a4)),f6(f2(a3,a1),a4))),
% 61.64/61.81 inference(scs_inference,[],[718,2])).
% 61.64/61.81 cnf(723,plain,
% 61.64/61.81 (E(f6(f5(a1),f6(x7231,x7232)),f6(a4,f6(x7232,x7231)))),
% 61.64/61.81 inference(scs_inference,[],[145,374,3])).
% 61.64/61.81 cnf(736,plain,
% 61.64/61.81 (E(f6(a1,f5(a1)),f2(f2(a1,a1),f2(a1,a1)))),
% 61.64/61.81 inference(scs_inference,[],[490,164,3])).
% 61.64/61.81 cnf(742,plain,
% 61.64/61.81 (E(f2(f2(a1,a1),f2(a1,a1)),f6(a1,f5(a1)))),
% 61.64/61.81 inference(scs_inference,[],[142,638,736,3,2])).
% 61.64/61.81 cnf(743,plain,
% 61.64/61.81 (E(f2(f2(a1,a1),f2(a1,a1)),f6(x7431,f5(x7431)))),
% 61.64/61.81 inference(scs_inference,[],[273,742,3])).
% 61.64/61.81 cnf(748,plain,
% 61.64/61.81 (E(f6(x7481,f5(x7481)),f2(f2(a1,a1),f2(a1,a1)))),
% 61.64/61.81 inference(scs_inference,[],[743,198,698,3,2])).
% 61.64/61.81 cnf(749,plain,
% 61.64/61.81 (~E(f6(f6(a3,a4),f6(a3,a4)),f6(f2(a3,a1),a4))),
% 61.64/61.81 inference(scs_inference,[],[142,244,3])).
% 61.64/61.81 cnf(761,plain,
% 61.64/61.81 (~E(f6(f2(a3,a1),a4),f6(f6(a3,a4),f6(a3,a4)))),
% 61.64/61.81 inference(scs_inference,[],[749,714,239,3,2])).
% 61.64/61.81 cnf(772,plain,
% 61.64/61.81 (E(f2(f6(a4,a4),a1),f2(f2(x7721,f5(x7721)),f5(a4)))),
% 61.64/61.81 inference(scs_inference,[],[148,154,3])).
% 61.64/61.81 cnf(791,plain,
% 61.64/61.81 (E(f6(f5(a1),f6(x7911,x7912)),f6(f2(f5(x7913),x7913),f6(x7912,x7911)))),
% 61.64/61.81 inference(scs_inference,[],[772,240,723,2,3])).
% 61.64/61.81 cnf(796,plain,
% 61.64/61.81 (~E(f6(f2(a1,f6(a3,a4)),f6(a3,a4)),f6(f2(a3,a1),a4))),
% 61.64/61.81 inference(scs_inference,[],[720,791,217,2,3])).
% 61.64/61.81 cnf(799,plain,
% 61.64/61.81 (E(f2(f6(f2(x7991,a1),a4),f6(x7992,a4)),f2(f2(x7991,a1),f2(x7992,a1)))),
% 61.64/61.81 inference(scs_inference,[],[156,796,497,2,3])).
% 61.64/61.81 cnf(829,plain,
% 61.64/61.81 (E(f2(f2(x8291,a1),f2(x8292,a1)),f2(f6(f2(x8291,a1),a4),f6(x8292,a4)))),
% 61.64/61.81 inference(scs_inference,[],[799,2])).
% 61.64/61.81 cnf(852,plain,
% 61.64/61.81 (~E(f2(f6(a3,a4),f6(a1,a4)),f6(f6(a3,a4),a3))),
% 61.64/61.81 inference(scs_inference,[],[168,704,3])).
% 61.64/61.81 cnf(855,plain,
% 61.64/61.81 (E(f6(f2(a1,a1),a4),f6(f6(x8551,f5(x8551)),f5(a1)))),
% 61.64/61.81 inference(scs_inference,[],[164,852,711,2,3])).
% 61.64/61.81 cnf(859,plain,
% 61.64/61.81 (~E(f6(a3,a4),f5(f2(f5(a4),a1)))),
% 61.64/61.81 inference(scs_inference,[],[855,291,357,2,3])).
% 61.64/61.81 cnf(863,plain,
% 61.64/61.81 (~E(f6(f2(f2(a3,a1),a1),f2(a4,a1)),f6(f6(a3,a4),f6(a3,a4)))),
% 61.64/61.81 inference(scs_inference,[],[167,761,859,2,3])).
% 61.64/61.81 cnf(865,plain,
% 61.64/61.81 (E(a4,f5(f6(a1,a4)))),
% 61.64/61.81 inference(scs_inference,[],[174,644,3])).
% 61.64/61.81 cnf(868,plain,
% 61.64/61.81 (E(f2(x8681,a4),f2(x8681,f5(f6(a1,a4))))),
% 61.64/61.81 inference(scs_inference,[],[174,644,3,5])).
% 61.64/61.81 cnf(870,plain,
% 61.64/61.81 (E(f2(a4,x8701),f2(f5(f6(a1,a4)),x8701))),
% 61.64/61.81 inference(scs_inference,[],[174,644,3,5,8,4])).
% 61.64/61.81 cnf(875,plain,
% 61.64/61.81 (~E(f2(f6(a3,a4),a1),f2(a4,f6(a1,a4)))),
% 61.64/61.81 inference(scs_inference,[],[863,870,275,2,3])).
% 61.64/61.81 cnf(879,plain,
% 61.64/61.81 (~E(f6(f2(a3,a1),f2(a3,a1)),f6(f6(a3,a4),a4))),
% 61.64/61.81 inference(scs_inference,[],[167,687,868,2,3])).
% 61.64/61.81 cnf(882,plain,
% 61.64/61.81 (E(f2(f6(f6(x8821,x8822),a4),f6(a1,a4)),f6(f2(x8821,a1),f2(x8822,a1)))),
% 61.64/61.81 inference(scs_inference,[],[167,174,879,2,3])).
% 61.64/61.81 cnf(884,plain,
% 61.64/61.81 (E(f6(f2(x8841,a1),f2(x8842,a1)),f2(f6(f6(x8841,x8842),a4),f6(a1,a4)))),
% 61.64/61.81 inference(scs_inference,[],[882,2])).
% 61.64/61.81 cnf(885,plain,
% 61.64/61.81 (~E(f2(f6(a3,a3),a1),f6(f6(f2(a3,a1),a4),f2(a3,a4)))),
% 61.64/61.81 inference(scs_inference,[],[178,445,882,2,3])).
% 61.64/61.81 cnf(891,plain,
% 61.64/61.81 (~E(f2(a4,f6(a1,a4)),f2(f6(a3,a4),a1))),
% 61.64/61.81 inference(scs_inference,[],[875,2])).
% 61.64/61.81 cnf(894,plain,
% 61.64/61.81 (E(f6(a4,f2(a4,a1)),a4)),
% 61.64/61.81 inference(scs_inference,[],[174,281,3])).
% 61.64/61.81 cnf(898,plain,
% 61.64/61.81 (E(a4,f6(a4,f2(a4,a1)))),
% 61.64/61.81 inference(scs_inference,[],[174,281,3,5,2])).
% 61.64/61.81 cnf(900,plain,
% 61.64/61.81 (E(f2(f6(a4,a4),f6(a1,a4)),f5(f6(a1,a4)))),
% 61.64/61.81 inference(scs_inference,[],[174,885,865,2,3])).
% 61.64/61.81 cnf(902,plain,
% 61.64/61.81 (E(f5(f6(a1,a4)),f2(f6(a4,a4),f6(a1,a4)))),
% 61.64/61.81 inference(scs_inference,[],[900,2])).
% 61.64/61.81 cnf(903,plain,
% 61.64/61.81 (~E(f2(f6(f6(a3,a3),a4),f6(a1,a4)),f2(f2(a3,a1),a1))),
% 61.64/61.81 inference(scs_inference,[],[519,900,884,2,3])).
% 61.64/61.81 cnf(905,plain,
% 61.64/61.81 (E(f6(a4,x9051),f6(f6(a4,f2(a4,a1)),x9051))),
% 61.64/61.81 inference(scs_inference,[],[519,900,884,898,2,3,6])).
% 61.64/61.81 cnf(910,plain,
% 61.64/61.81 (E(f6(x9101,f5(x9101)),f2(f6(f2(a1,a1),a4),f6(a1,a4)))),
% 61.64/61.81 inference(scs_inference,[],[903,829,748,2,3])).
% 61.64/61.81 cnf(913,plain,
% 61.64/61.81 (~E(f2(f6(a3,a3),a1),f2(f2(f6(a3,a4),f6(a1,a4)),f6(a1,a4)))),
% 61.64/61.81 inference(scs_inference,[],[183,178,910,2,3])).
% 61.64/61.81 cnf(917,plain,
% 61.64/61.81 (~E(f2(f2(f5(x9171),x9171),f6(a1,a4)),f2(f6(a3,a4),a1))),
% 61.64/61.81 inference(scs_inference,[],[913,891,251,2,3])).
% 61.64/61.81 cnf(923,plain,
% 61.64/61.81 (E(f2(f6(a4,f2(a4,a1)),x9231),f2(a4,x9231))),
% 61.64/61.81 inference(scs_inference,[],[174,183,905,894,2,3,8,4])).
% 61.64/61.81 cnf(926,plain,
% 61.64/61.81 (~E(f2(f6(a3,a4),a1),f2(f6(a4,f2(a4,a1)),f6(a1,a4)))),
% 61.64/61.81 inference(scs_inference,[],[917,923,875,2,3])).
% 61.64/61.81 cnf(932,plain,
% 61.64/61.81 (E(f5(f2(a1,a1)),f2(f6(a4,a4),f6(a1,a4)))),
% 61.64/61.81 inference(scs_inference,[],[902,926,291,2,3])).
% 61.64/61.81 cnf(935,plain,
% 61.64/61.81 (~E(f2(f2(a3,a1),a1),f6(f2(a3,a1),a4))),
% 61.64/61.81 inference(scs_inference,[],[932,697,296,2,3])).
% 61.64/61.81 cnf(1099,plain,
% 61.64/61.81 ($false),
% 61.64/61.81 inference(scs_inference,[],[9,29,167,935,7,4,5,6,3]),
% 61.64/61.81 ['proof']).
% 61.64/61.81 % SZS output end Proof
% 61.64/61.81 % Total time :61.130000s
%------------------------------------------------------------------------------