TSTP Solution File: CAT004-2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : CAT004-2 : 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 : n018.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 18:13:40 EDT 2023
% Result : Unsatisfiable 47.71s 47.80s
% Output : CNFRefutation 47.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CAT004-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 00:14:00 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 47.71/47.79 %-------------------------------------------
% 47.71/47.79 % File :CSE---1.6
% 47.71/47.79 % Problem :theBenchmark
% 47.71/47.79 % Transform :cnf
% 47.71/47.79 % Format :tptp:raw
% 47.71/47.79 % Command :java -jar mcs_scs.jar %d %s
% 47.71/47.79
% 47.71/47.79 % Result :Theorem 47.180000s
% 47.71/47.79 % Output :CNFRefutation 47.180000s
% 47.71/47.79 %-------------------------------------------
% 47.71/47.80 %--------------------------------------------------------------------------
% 47.71/47.80 % File : CAT004-2 : TPTP v8.1.2. Released v1.0.0.
% 47.71/47.80 % Domain : Category Theory
% 47.71/47.80 % Problem : X and Y epimorphisms, XY well-defined => XY epimorphism
% 47.71/47.80 % Version : [Qua89] (equality) axioms.
% 47.71/47.80 % English : If x and y are epimorphisms and xy is well-defined, then
% 47.71/47.80 % xy is an epimorphism.
% 47.71/47.80
% 47.71/47.80 % Refs : [Qua89] Quaife (1989), Email to L. Wos
% 47.71/47.80 % Source : [ANL]
% 47.71/47.80 % Names : p4.ver2.in [ANL]
% 47.71/47.80
% 47.71/47.80 % Status : Unsatisfiable
% 47.71/47.80 % Rating : 0.00 v8.1.0, 0.05 v7.5.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.09 v7.0.0, 0.08 v6.4.0, 0.14 v6.3.0, 0.20 v6.2.0, 0.30 v6.1.0, 0.09 v6.0.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.00 v5.3.0, 0.20 v5.2.0, 0.00 v4.1.0, 0.11 v4.0.1, 0.12 v4.0.0, 0.14 v3.7.0, 0.29 v3.5.0, 0.14 v3.4.0, 0.33 v3.3.0, 0.22 v3.2.0, 0.11 v3.1.0, 0.20 v2.7.0, 0.38 v2.6.0, 0.33 v2.5.0, 0.50 v2.4.0, 0.25 v2.3.0, 0.50 v2.2.1, 0.33 v2.2.0, 0.50 v2.1.0, 1.00 v2.0.0
% 47.71/47.80 % Syntax : Number of clauses : 14 ( 9 unt; 0 nHn; 10 RR)
% 47.71/47.80 % Number of literals : 26 ( 26 equ; 13 neg)
% 47.71/47.80 % Maximal clause size : 5 ( 1 avg)
% 47.71/47.80 % Maximal term depth : 3 ( 2 avg)
% 47.71/47.80 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 47.71/47.80 % Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% 47.71/47.80 % Number of variables : 17 ( 0 sgn)
% 47.71/47.80 % SPC : CNF_UNS_RFO_PEQ_NUE
% 47.71/47.80
% 47.71/47.80 % Comments :
% 47.71/47.80 %--------------------------------------------------------------------------
% 47.71/47.80 %----Include Quaife's axioms for category theory
% 47.71/47.80 include('Axioms/CAT002-0.ax').
% 47.71/47.80 %--------------------------------------------------------------------------
% 47.71/47.80 cnf(epimorphism1,hypothesis,
% 47.71/47.80 ( codomain(a) != domain(X)
% 47.71/47.80 | compose(a,X) != Y
% 47.71/47.80 | codomain(a) != domain(Z)
% 47.71/47.80 | compose(a,Z) != Y
% 47.71/47.80 | X = Z ) ).
% 47.71/47.80
% 47.71/47.80 cnf(epimorphism2,hypothesis,
% 47.71/47.80 ( codomain(b) != domain(X)
% 47.71/47.80 | compose(b,X) != Y
% 47.71/47.80 | codomain(b) != domain(Z)
% 47.71/47.80 | compose(b,Z) != Y
% 47.71/47.80 | X = Z ) ).
% 47.71/47.80
% 47.71/47.80 cnf(codomain_of_a_equals_domain_of_b,hypothesis,
% 47.71/47.80 codomain(a) = domain(b) ).
% 47.71/47.80
% 47.71/47.80 cnf(codomain_of_ab_equals_domain_of_h,hypothesis,
% 47.71/47.80 codomain(compose(a,b)) = domain(h) ).
% 47.71/47.80
% 47.71/47.80 cnf(codomain_of_ab_equals_domain_of_g,hypothesis,
% 47.71/47.80 codomain(compose(a,b)) = domain(g) ).
% 47.71/47.80
% 47.71/47.80 cnf(ab_h_equals_ab_g,hypothesis,
% 47.71/47.80 compose(compose(a,b),h) = compose(compose(a,b),g) ).
% 47.71/47.80
% 47.71/47.80 cnf(prove_h_equals_g,negated_conjecture,
% 47.71/47.80 h != g ).
% 47.71/47.80
% 47.71/47.80 %--------------------------------------------------------------------------
% 47.71/47.80 %-------------------------------------------
% 47.71/47.80 % Proof found
% 47.71/47.80 % SZS status Theorem for theBenchmark
% 47.71/47.80 % SZS output start Proof
% 47.71/47.80 %ClaNum:21(EqnAxiom:7)
% 47.71/47.80 %VarNum:46(SingletonVarNum:17)
% 47.71/47.80 %MaxLitNum:5
% 47.71/47.80 %MaxfuncDepth:2
% 47.71/47.80 %SharedTerms:18
% 47.71/47.80 %goalClause: 16
% 47.71/47.80 %singleGoalClaCount:1
% 47.71/47.80 [16]~E(a7,a6)
% 47.71/47.80 [8]E(f3(a1),f4(a2))
% 47.71/47.80 [13]E(f4(f5(a2,a1)),f3(a6))
% 47.71/47.80 [14]E(f4(f5(a2,a1)),f3(a7))
% 47.71/47.80 [15]E(f5(f5(a2,a1),a7),f5(f5(a2,a1),a6))
% 47.71/47.80 [9]E(f3(f4(x91)),f4(x91))
% 47.71/47.81 [10]E(f4(f3(x101)),f3(x101))
% 47.71/47.81 [11]E(f5(x111,f4(x111)),x111)
% 47.71/47.81 [12]E(f5(f3(x121),x121),x121)
% 47.71/47.81 [17]~E(f4(x171),f3(x172))+E(f3(f5(x171,x172)),f3(x171))
% 47.71/47.81 [18]~E(f4(x181),f3(x182))+E(f4(f5(x181,x182)),f4(x182))
% 47.71/47.81 [21]~E(f4(x212),f3(x213))+~E(f4(x211),f3(x212))+E(f5(f5(x211,x212),x213),f5(x211,f5(x212,x213)))
% 47.71/47.81 [19]E(x191,x192)+~E(f5(a2,x191),x193)+~E(f5(a2,x192),x193)+~E(f3(x192),f4(a2))+~E(f3(x191),f4(a2))
% 47.71/47.81 [20]E(x201,x202)+~E(f5(a1,x201),x203)+~E(f5(a1,x202),x203)+~E(f3(x202),f4(a1))+~E(f3(x201),f4(a1))
% 47.71/47.81 %EqnAxiom
% 47.71/47.81 [1]E(x11,x11)
% 47.71/47.81 [2]E(x22,x21)+~E(x21,x22)
% 47.71/47.81 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 47.71/47.81 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 47.71/47.81 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 47.71/47.81 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 47.71/47.81 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 47.71/47.81
% 47.71/47.81 %-------------------------------------------
% 47.71/47.81 cnf(22,plain,
% 47.71/47.81 (E(f4(a2),f3(a1))),
% 47.71/47.81 inference(scs_inference,[],[8,2])).
% 47.71/47.81 cnf(23,plain,
% 47.71/47.81 (E(f5(f3(a1),f4(f3(a1))),f4(a2))),
% 47.71/47.81 inference(scs_inference,[],[8,11,2,3])).
% 47.71/47.81 cnf(24,plain,
% 47.71/47.81 (E(f5(x241,f4(x241)),x241)),
% 47.71/47.81 inference(rename_variables,[],[11])).
% 47.71/47.81 cnf(25,plain,
% 47.71/47.81 (E(f5(x251,f3(a1)),f5(x251,f4(a2)))),
% 47.71/47.81 inference(scs_inference,[],[8,11,2,3,7])).
% 47.71/47.81 cnf(26,plain,
% 47.71/47.81 (E(f5(f3(a1),x261),f5(f4(a2),x261))),
% 47.71/47.81 inference(scs_inference,[],[8,11,2,3,7,6])).
% 47.71/47.81 cnf(27,plain,
% 47.71/47.81 (E(f4(f3(a1)),f4(f4(a2)))),
% 47.71/47.81 inference(scs_inference,[],[8,11,2,3,7,6,5])).
% 47.71/47.81 cnf(28,plain,
% 47.71/47.81 (E(f3(f3(a1)),f3(f4(a2)))),
% 47.71/47.81 inference(scs_inference,[],[8,11,2,3,7,6,5,4])).
% 47.71/47.81 cnf(29,plain,
% 47.71/47.81 (E(f4(f5(f5(a2,a1),a6)),f4(a6))),
% 47.71/47.81 inference(scs_inference,[],[8,13,11,2,3,7,6,5,4,18])).
% 47.71/47.81 cnf(31,plain,
% 47.71/47.81 (E(f3(f5(a2,a1)),f3(a2))),
% 47.71/47.81 inference(scs_inference,[],[8,13,11,2,3,7,6,5,4,18,17])).
% 47.71/47.82 cnf(37,plain,
% 47.71/47.82 (~E(f4(a1),f3(x371))+E(f5(f5(a2,a1),x371),f5(a2,f5(a1,x371)))),
% 47.71/47.82 inference(scs_inference,[],[8,13,11,24,9,2,3,7,6,5,4,18,17,19,21])).
% 47.71/47.82 cnf(39,plain,
% 47.71/47.82 (~E(a6,a7)),
% 47.71/47.82 inference(scs_inference,[],[16,2])).
% 47.71/47.82 cnf(40,plain,
% 47.71/47.82 (~E(a7,f5(f3(a6),a6))),
% 47.71/47.82 inference(scs_inference,[],[16,12,2,3])).
% 47.71/47.82 cnf(45,plain,
% 47.71/47.82 (E(f3(a7),f4(f5(a2,a1)))),
% 47.71/47.82 inference(scs_inference,[],[14,2])).
% 47.71/47.82 cnf(46,plain,
% 47.71/47.82 (E(f4(f3(a1)),f4(a2))),
% 47.71/47.82 inference(scs_inference,[],[8,14,10,2,3])).
% 47.71/47.82 cnf(56,plain,
% 47.71/47.82 (~E(f5(f3(a6),a6),a7)),
% 47.71/47.82 inference(scs_inference,[],[40,2])).
% 47.71/47.82 cnf(57,plain,
% 47.71/47.82 (~E(a6,f5(f3(a7),a7))),
% 47.71/47.82 inference(scs_inference,[],[12,40,39,2,3])).
% 47.71/47.82 cnf(59,plain,
% 47.71/47.82 (E(f3(f4(a2)),f3(a1))),
% 47.71/47.82 inference(scs_inference,[],[9,22,3])).
% 47.71/47.82 cnf(60,plain,
% 47.71/47.82 (E(f3(f4(x601)),f4(x601))),
% 47.71/47.82 inference(rename_variables,[],[9])).
% 47.71/47.82 cnf(61,plain,
% 47.71/47.82 (E(f4(x611),f3(f4(x611)))),
% 47.71/47.82 inference(scs_inference,[],[9,60,22,3,2])).
% 47.71/47.82 cnf(62,plain,
% 47.71/47.82 (E(f4(f5(a2,a1)),f4(a1))),
% 47.71/47.82 inference(scs_inference,[],[9,60,22,3,2,18])).
% 47.71/47.82 cnf(64,plain,
% 47.71/47.82 (E(f4(f4(a2)),f4(f3(a1)))),
% 47.71/47.82 inference(scs_inference,[],[9,60,22,3,2,18,5])).
% 47.71/47.82 cnf(65,plain,
% 47.71/47.82 (E(f3(f5(x651,f4(x651))),f3(x651))),
% 47.71/47.82 inference(scs_inference,[],[9,60,22,3,2,18,5,17])).
% 47.71/47.82 cnf(67,plain,
% 47.71/47.82 (E(f5(x671,f4(a2)),f5(x671,f3(a1)))),
% 47.71/47.82 inference(scs_inference,[],[9,60,22,3,2,18,5,17,7])).
% 47.71/47.82 cnf(68,plain,
% 47.71/47.82 (E(f5(f4(a2),x681),f5(f3(a1),x681))),
% 47.71/47.82 inference(scs_inference,[],[9,60,22,3,2,18,5,17,7,6])).
% 47.71/47.82 cnf(69,plain,
% 47.71/47.82 (E(f3(f4(a2)),f3(f3(a1)))),
% 47.71/47.82 inference(scs_inference,[],[9,60,22,3,2,18,5,17,7,6,4])).
% 47.71/47.82 cnf(70,plain,
% 47.71/47.82 (E(f4(f3(f4(x701))),f4(x701))),
% 47.71/47.82 inference(scs_inference,[],[9,10,3])).
% 47.71/47.82 cnf(72,plain,
% 47.71/47.82 (~E(f5(f3(a7),a7),a6)),
% 47.71/47.82 inference(scs_inference,[],[9,10,57,3,2])).
% 47.71/47.82 cnf(73,plain,
% 47.71/47.82 (~E(f5(a1,f5(f3(a7),a7)),x731)+~E(f5(a1,a6),x731)+~E(f3(f5(f3(a7),a7)),f4(a1))+~E(f3(a6),f4(a1))),
% 47.71/47.82 inference(scs_inference,[],[9,10,57,3,2,20])).
% 47.71/47.82 cnf(76,plain,
% 47.71/47.82 (E(f3(x761),f4(f3(x761)))),
% 47.71/47.82 inference(scs_inference,[],[10,2])).
% 47.71/47.82 cnf(77,plain,
% 47.71/47.82 (~E(f5(f5(a2,a1),a6),x771)+E(f5(f5(a2,a1),a7),x771)),
% 47.71/47.82 inference(scs_inference,[],[10,15,2,3])).
% 47.71/47.82 cnf(83,plain,
% 47.71/47.82 (~E(f5(f3(a7),a7),f5(f3(a6),a6))),
% 47.71/47.82 inference(scs_inference,[],[12,72,3])).
% 47.71/47.82 cnf(86,plain,
% 47.71/47.82 (~E(a6,f5(a7,f4(a7)))),
% 47.71/47.82 inference(scs_inference,[],[11,39,3])).
% 47.71/47.82 cnf(87,plain,
% 47.71/47.82 (E(f5(x871,f4(x871)),x871)),
% 47.71/47.82 inference(rename_variables,[],[11])).
% 47.71/47.82 cnf(88,plain,
% 47.71/47.82 (E(x881,f5(x881,f4(x881)))),
% 47.71/47.82 inference(scs_inference,[],[11,87,39,3,2])).
% 47.71/47.82 cnf(91,plain,
% 47.71/47.82 (E(f5(f5(x911,f4(x911)),x912),f5(x911,x912))),
% 47.71/47.82 inference(scs_inference,[],[11,87,14,39,3,2,18,6])).
% 47.71/47.82 cnf(93,plain,
% 47.71/47.82 (E(f5(x931,f5(x932,f4(x932))),f5(x931,x932))),
% 47.71/47.82 inference(scs_inference,[],[11,87,14,39,3,2,18,6,5,7])).
% 47.71/47.82 cnf(98,plain,
% 47.71/47.82 (~E(f5(a7,f4(a7)),a6)),
% 47.71/47.82 inference(scs_inference,[],[11,26,86,3,2])).
% 47.71/47.82 cnf(103,plain,
% 47.71/47.82 (E(f5(f3(f4(a2)),f4(a2)),f3(a1))),
% 47.71/47.82 inference(scs_inference,[],[12,22,3])).
% 47.71/47.82 cnf(104,plain,
% 47.71/47.82 (E(f5(f3(x1041),x1041),x1041)),
% 47.71/47.82 inference(rename_variables,[],[12])).
% 47.71/47.82 cnf(105,plain,
% 47.71/47.82 (E(x1051,f5(f3(x1051),x1051))),
% 47.71/47.82 inference(scs_inference,[],[12,104,22,3,2])).
% 47.71/47.82 cnf(112,plain,
% 47.71/47.82 (~E(f5(a7,f4(a7)),f5(f3(a6),a6))),
% 47.71/47.82 inference(scs_inference,[],[105,86,3,2])).
% 47.71/47.82 cnf(120,plain,
% 47.71/47.82 (E(f4(f5(a2,a1)),f4(f3(a6)))),
% 47.71/47.82 inference(scs_inference,[],[13,76,3])).
% 47.71/47.82 cnf(122,plain,
% 47.71/47.82 (E(f3(a6),f4(f5(a2,a1)))),
% 47.71/47.82 inference(scs_inference,[],[13,76,3,2])).
% 47.71/47.82 cnf(123,plain,
% 47.71/47.82 (E(f4(f5(f3(x1231),x1231)),f4(x1231))),
% 47.71/47.82 inference(scs_inference,[],[13,76,10,3,2,18])).
% 47.71/47.82 cnf(125,plain,
% 47.71/47.82 (E(f4(x1251),f4(f5(x1251,f4(x1251))))),
% 47.71/47.82 inference(scs_inference,[],[13,76,88,10,3,2,18,5])).
% 47.71/47.82 cnf(126,plain,
% 47.71/47.82 (E(f5(x1261,x1262),f5(f5(x1261,f4(x1261)),x1262))),
% 47.71/47.82 inference(scs_inference,[],[13,76,88,10,3,2,18,5,6])).
% 47.71/47.82 cnf(127,plain,
% 47.71/47.82 (E(f3(x1271),f3(f5(x1271,f4(x1271))))),
% 47.71/47.82 inference(scs_inference,[],[13,76,88,10,3,2,18,5,6,4])).
% 47.71/47.82 cnf(128,plain,
% 47.71/47.82 (E(f5(x1281,x1282),f5(x1281,f5(x1282,f4(x1282))))),
% 47.71/47.82 inference(scs_inference,[],[13,76,88,10,3,2,18,5,6,4,7])).
% 47.71/47.82 cnf(129,plain,
% 47.71/47.82 (E(f5(f3(a1),f3(a1)),f5(f4(a2),f4(a2)))),
% 47.71/47.82 inference(scs_inference,[],[26,25,3])).
% 47.71/47.82 cnf(132,plain,
% 47.71/47.82 (~E(f5(f5(a7,f4(a7)),f4(a7)),f5(f3(a6),a6))),
% 47.71/47.82 inference(scs_inference,[],[126,112,3])).
% 47.71/47.82 cnf(133,plain,
% 47.71/47.82 (E(f5(x1331,x1332),f5(f5(x1331,f4(x1331)),x1332))),
% 47.71/47.82 inference(rename_variables,[],[126])).
% 47.71/47.82 cnf(134,plain,
% 47.71/47.82 (~E(f5(a1,a6),f5(f5(a1,f4(a1)),a7))+~E(f3(a6),f4(a1))+~E(f3(a7),f4(a1))),
% 47.71/47.82 inference(scs_inference,[],[126,133,112,39,3,20])).
% 47.71/47.82 cnf(137,plain,
% 47.71/47.82 (~E(f4(a1),f3(a6))+~E(f5(a1,a6),f5(f5(a1,f4(a1)),a7))+~E(f3(a7),f4(a1))),
% 47.71/47.82 inference(scs_inference,[],[126,133,112,39,3,20,2])).
% 47.71/47.82 cnf(139,plain,
% 47.71/47.82 (E(f4(a2),f3(f5(a1,f4(a1))))),
% 47.71/47.82 inference(scs_inference,[],[29,22,127,2,3])).
% 47.71/47.82 cnf(147,plain,
% 47.71/47.82 (E(f5(f3(f4(a2)),f3(a1)),f3(a1))),
% 47.71/47.82 inference(scs_inference,[],[25,132,103,2,3])).
% 47.71/47.82 cnf(149,plain,
% 47.71/47.82 (E(f5(x1491,x1492),f5(f5(f3(x1491),x1491),x1492))),
% 47.71/47.82 inference(scs_inference,[],[25,132,103,105,2,3,6])).
% 47.71/47.82 cnf(150,plain,
% 47.71/47.82 (E(f4(x1501),f4(f5(f3(x1501),x1501)))),
% 47.71/47.82 inference(scs_inference,[],[25,132,103,105,2,3,6,5])).
% 47.71/47.82 cnf(151,plain,
% 47.71/47.82 (E(f5(x1511,x1512),f5(x1511,f5(f3(x1512),x1512)))),
% 47.71/47.82 inference(scs_inference,[],[25,132,103,105,2,3,6,5,7])).
% 47.71/47.82 cnf(152,plain,
% 47.71/47.82 (E(f3(x1521),f3(f5(f3(x1521),x1521)))),
% 47.71/47.82 inference(scs_inference,[],[25,132,103,105,2,3,6,5,7,4])).
% 47.71/47.82 cnf(154,plain,
% 47.71/47.82 (~E(f5(f3(a6),f5(a6,f4(a6))),a7)),
% 47.71/47.82 inference(scs_inference,[],[15,128,56,2,3])).
% 47.71/47.82 cnf(156,plain,
% 47.71/47.82 (~E(a7,f5(f3(a6),f5(a6,f4(a6))))),
% 47.71/47.82 inference(scs_inference,[],[154,2])).
% 47.71/47.82 cnf(157,plain,
% 47.71/47.82 (E(f4(a2),f3(f5(f3(a1),a1)))),
% 47.71/47.82 inference(scs_inference,[],[22,152,154,2,3])).
% 47.71/47.82 cnf(160,plain,
% 47.71/47.82 (E(f3(f3(a1)),f3(a1))),
% 47.71/47.82 inference(scs_inference,[],[31,28,59,2,3])).
% 47.71/47.82 cnf(168,plain,
% 47.71/47.82 (~E(f5(a6,f4(a6)),a7)),
% 47.71/47.82 inference(scs_inference,[],[39,88,3])).
% 47.71/47.82 cnf(170,plain,
% 47.71/47.82 (E(f5(x1701,f5(f3(x1702),x1702)),f5(x1701,x1702))),
% 47.71/47.82 inference(scs_inference,[],[39,88,12,3,7])).
% 47.71/47.82 cnf(171,plain,
% 47.71/47.82 (E(f5(f5(f3(x1711),x1711),x1712),f5(x1711,x1712))),
% 47.71/47.82 inference(scs_inference,[],[39,88,12,3,7,6])).
% 47.71/47.82 cnf(172,plain,
% 47.71/47.82 (~E(a7,f5(a6,f4(a6)))),
% 47.71/47.82 inference(scs_inference,[],[39,88,12,3,7,6,2])).
% 47.71/47.82 cnf(173,plain,
% 47.71/47.82 (E(f4(a2),f5(f3(a1),f4(f3(a1))))),
% 47.71/47.82 inference(scs_inference,[],[23,2])).
% 47.71/47.82 cnf(179,plain,
% 47.71/47.82 (~E(a7,f5(f3(a6),f5(f3(a6),a6)))),
% 47.71/47.82 inference(scs_inference,[],[40,170,3])).
% 47.71/47.82 cnf(186,plain,
% 47.71/47.82 (E(f4(x1861),f4(f3(f4(x1861))))),
% 47.71/47.82 inference(scs_inference,[],[70,2])).
% 47.71/47.82 cnf(187,plain,
% 47.71/47.82 (~E(f5(f3(a7),a7),f5(a6,f4(a6)))),
% 47.71/47.82 inference(scs_inference,[],[70,172,105,2,3])).
% 47.71/47.82 cnf(189,plain,
% 47.71/47.82 (~E(f3(f5(f3(a7),a7)),f4(a1))+~E(f3(a6),f4(a1))+~E(f5(a1,a6),f5(a1,a7))),
% 47.71/47.82 inference(scs_inference,[],[70,172,170,105,2,3,73])).
% 47.71/47.82 cnf(192,plain,
% 47.71/47.82 (~E(f5(a6,f4(a6)),f5(f3(a7),a7))),
% 47.71/47.82 inference(scs_inference,[],[187,2])).
% 47.71/47.82 cnf(195,plain,
% 47.71/47.82 (~E(f5(a1,a7),f5(a1,a6))+~E(f3(a7),f4(a1))+~E(f3(f5(a6,f4(a6))),f4(a1))),
% 47.71/47.82 inference(scs_inference,[],[26,187,168,173,93,2,3,20])).
% 47.71/47.82 cnf(199,plain,
% 47.71/47.82 (E(f4(a2),f4(f3(a1)))),
% 47.71/47.82 inference(scs_inference,[],[46,2])).
% 47.71/47.82 cnf(200,plain,
% 47.71/47.82 (E(f3(a7),f4(a1))),
% 47.71/47.82 inference(scs_inference,[],[45,46,62,2,3])).
% 47.71/47.82 cnf(203,plain,
% 47.71/47.82 (~E(f3(a6),f4(a1))+~E(f5(a1,a6),f5(f5(a1,f4(a1)),a7))),
% 47.71/47.82 inference(scs_inference,[],[45,46,62,2,3,195,137,134])).
% 47.71/47.82 cnf(204,plain,
% 47.71/47.82 (E(f4(f3(a7)),f4(f4(a1)))),
% 47.71/47.82 inference(scs_inference,[],[45,46,62,2,3,195,137,134,5])).
% 47.71/47.82 cnf(212,plain,
% 47.71/47.82 (~E(f5(f3(a7),f5(a7,f4(a7))),a6)),
% 47.71/47.82 inference(scs_inference,[],[128,72,3])).
% 47.71/47.82 cnf(213,plain,
% 47.71/47.82 (E(f5(x2131,x2132),f5(x2131,f5(x2132,f4(x2132))))),
% 47.71/47.82 inference(rename_variables,[],[128])).
% 47.71/47.82 cnf(214,plain,
% 47.71/47.82 (~E(f5(a1,a6),f5(a1,f5(a7,f4(a7))))+~E(f3(a6),f4(a1))),
% 47.71/47.82 inference(scs_inference,[],[39,200,128,213,72,3,20])).
% 47.71/47.82 cnf(219,plain,
% 47.71/47.82 (E(f3(a7),f4(f3(a6)))),
% 47.71/47.82 inference(scs_inference,[],[45,120,212,2,3])).
% 47.71/47.82 cnf(221,plain,
% 47.71/47.82 (E(f4(f4(a2)),f4(a2))),
% 47.71/47.82 inference(scs_inference,[],[46,64,129,2,3])).
% 47.71/47.82 cnf(222,plain,
% 47.71/47.82 (~E(f5(f5(f3(a6),a6),f4(a6)),f5(f3(a7),a7))),
% 47.71/47.82 inference(scs_inference,[],[192,149,3])).
% 47.71/47.82 cnf(224,plain,
% 47.71/47.82 (E(f3(f3(a7)),f3(f4(a1)))),
% 47.71/47.82 inference(scs_inference,[],[192,149,200,3,4])).
% 47.71/47.82 cnf(225,plain,
% 47.71/47.82 (E(f5(x2251,f3(a7)),f5(x2251,f4(a1)))),
% 47.71/47.82 inference(scs_inference,[],[192,149,200,3,4,7])).
% 47.71/47.82 cnf(226,plain,
% 47.71/47.82 (E(f5(f3(a7),x2261),f5(f4(a1),x2261))),
% 47.71/47.82 inference(scs_inference,[],[192,149,200,3,4,7,6])).
% 47.71/47.82 cnf(231,plain,
% 47.71/47.82 (E(f3(a1),f3(f4(a2)))),
% 47.71/47.82 inference(scs_inference,[],[59,2])).
% 47.71/47.82 cnf(232,plain,
% 47.71/47.82 (E(f5(f3(a7),f3(a7)),f5(f4(a1),f4(a1)))),
% 47.71/47.82 inference(scs_inference,[],[59,225,226,2,3])).
% 47.71/47.82 cnf(243,plain,
% 47.71/47.82 (~E(f5(f3(a7),a7),f5(f5(f3(a6),a6),f4(a6)))),
% 47.71/47.82 inference(scs_inference,[],[222,2])).
% 47.71/47.82 cnf(244,plain,
% 47.71/47.82 (E(f3(a1),f3(f3(a1)))),
% 47.71/47.82 inference(scs_inference,[],[69,222,231,2,3])).
% 47.71/47.82 cnf(249,plain,
% 47.71/47.82 (E(f4(f4(a1)),f4(f3(a7)))),
% 47.71/47.82 inference(scs_inference,[],[204,2])).
% 47.71/47.82 cnf(250,plain,
% 47.71/47.82 (~E(f5(f4(a1),a7),f5(f5(f3(a6),a6),f4(a6)))),
% 47.71/47.82 inference(scs_inference,[],[204,243,226,2,3])).
% 47.71/47.82 cnf(252,plain,
% 47.71/47.82 (~E(f5(f5(f3(a6),a6),f4(a6)),f5(f4(a1),a7))),
% 47.71/47.82 inference(scs_inference,[],[250,2])).
% 47.71/47.82 cnf(253,plain,
% 47.71/47.82 (E(f3(a7),f3(f4(f5(a2,a1))))),
% 47.71/47.82 inference(scs_inference,[],[61,45,250,2,3])).
% 47.71/47.82 cnf(260,plain,
% 47.71/47.82 (E(f4(a1),f4(f5(a2,a1)))),
% 47.71/47.82 inference(scs_inference,[],[62,2])).
% 47.71/47.82 cnf(261,plain,
% 47.71/47.82 (E(f4(f5(a2,a1)),f3(f4(a1)))),
% 47.71/47.82 inference(scs_inference,[],[62,61,2,3])).
% 47.71/47.82 cnf(263,plain,
% 47.71/47.82 (~E(f5(a1,a7),f5(a1,f5(a6,f4(a6))))+~E(f3(a6),f4(a1))),
% 47.71/47.82 inference(scs_inference,[],[39,62,61,128,200,2,3,20])).
% 47.71/47.82 cnf(266,plain,
% 47.71/47.82 (~E(f5(a6,f4(a6)),f5(f4(a1),a7))),
% 47.71/47.82 inference(scs_inference,[],[252,171,3])).
% 47.71/47.82 cnf(268,plain,
% 47.71/47.82 (~E(f5(a1,a6),f5(f5(f3(a1),a1),a7))+~E(f3(a6),f4(a1))),
% 47.71/47.82 inference(scs_inference,[],[39,252,171,149,200,3,20])).
% 47.71/47.82 cnf(272,plain,
% 47.71/47.82 (E(f3(f4(a1)),f3(f3(a7)))),
% 47.71/47.82 inference(scs_inference,[],[224,2])).
% 47.71/47.82 cnf(273,plain,
% 47.71/47.82 (E(f4(f3(a1)),f3(f4(a2)))),
% 47.71/47.82 inference(scs_inference,[],[46,61,224,2,3])).
% 47.71/47.82 cnf(275,plain,
% 47.71/47.82 (~E(f5(a1,a7),f5(a1,f5(f3(a6),a6)))+~E(f3(a6),f4(a1))),
% 47.71/47.82 inference(scs_inference,[],[46,61,224,151,16,200,2,3,20])).
% 47.71/47.82 cnf(278,plain,
% 47.71/47.82 (E(f3(a7),f3(f4(a1)))),
% 47.71/47.82 inference(scs_inference,[],[45,261,3])).
% 47.71/47.82 cnf(284,plain,
% 47.71/47.82 (E(f4(a2),f4(f4(a2)))),
% 47.71/47.82 inference(scs_inference,[],[221,2])).
% 47.71/47.82 cnf(304,plain,
% 47.71/47.82 (E(f3(f4(a2)),f4(f3(a1)))),
% 47.71/47.82 inference(scs_inference,[],[273,2])).
% 47.71/47.82 cnf(305,plain,
% 47.71/47.82 (E(f5(f5(x3051,f4(x3051)),f4(a2)),f5(x3051,f3(a1)))),
% 47.71/47.82 inference(scs_inference,[],[67,273,91,2,3])).
% 47.71/47.82 cnf(317,plain,
% 47.71/47.82 (~E(f5(f3(a6),a6),f5(f4(a1),a7))),
% 47.71/47.82 inference(scs_inference,[],[83,226,3,2])).
% 47.71/47.82 cnf(325,plain,
% 47.71/47.82 (E(f5(x3251,f3(a1)),f5(f5(x3251,f4(x3251)),f4(a2)))),
% 47.71/47.82 inference(scs_inference,[],[305,2])).
% 47.71/47.82 cnf(326,plain,
% 47.71/47.82 (E(f4(a2),f3(f4(f3(a1))))),
% 47.71/47.82 inference(scs_inference,[],[61,199,305,2,3])).
% 47.71/47.82 cnf(331,plain,
% 47.71/47.82 (E(f4(f4(a2)),f3(f4(a2)))),
% 47.71/47.82 inference(scs_inference,[],[64,273,3])).
% 47.71/47.82 cnf(332,plain,
% 47.71/47.82 (~E(f5(f3(a7),f5(f3(a7),a7)),a6)),
% 47.71/47.82 inference(scs_inference,[],[72,151,3])).
% 47.71/47.82 cnf(334,plain,
% 47.71/47.82 (E(f3(f4(a2)),f4(f4(a2)))),
% 47.71/47.82 inference(scs_inference,[],[331,72,151,3,2])).
% 47.71/47.82 cnf(336,plain,
% 47.71/47.82 (E(f4(a2),f3(f3(a1)))),
% 47.71/47.82 inference(scs_inference,[],[69,61,332,2,3])).
% 47.71/47.82 cnf(338,plain,
% 47.71/47.82 (E(f3(f5(a2,f3(a1))),f3(a2))),
% 47.71/47.82 inference(scs_inference,[],[69,61,332,2,3,17])).
% 47.71/47.82 cnf(345,plain,
% 47.71/47.82 (E(f3(f5(f3(a1),a1)),f4(a2))),
% 47.71/47.82 inference(scs_inference,[],[157,2])).
% 47.71/47.82 cnf(346,plain,
% 47.71/47.82 (E(f5(f4(a2),f3(a7)),f5(f3(a1),f4(a1)))),
% 47.71/47.82 inference(scs_inference,[],[68,157,225,2,3])).
% 47.71/47.82 cnf(349,plain,
% 47.71/47.82 (~E(f5(f4(a1),f5(f3(a7),a7)),a6)),
% 47.71/47.82 inference(scs_inference,[],[332,226,3])).
% 47.71/47.82 cnf(356,plain,
% 47.71/47.82 (E(f5(f3(a1),f4(a1)),f5(f4(a2),f3(a7)))),
% 47.71/47.82 inference(scs_inference,[],[346,2])).
% 47.71/47.82 cnf(366,plain,
% 47.71/47.82 (~E(a6,f5(f4(a1),f5(f3(a7),a7)))),
% 47.71/47.82 inference(scs_inference,[],[349,2])).
% 47.71/47.82 cnf(367,plain,
% 47.71/47.82 (E(f5(f4(a2),f4(a1)),f5(f4(a2),f3(a7)))),
% 47.71/47.82 inference(scs_inference,[],[68,356,349,2,3])).
% 47.71/47.82 cnf(372,plain,
% 47.71/47.82 (E(f3(f3(a1)),f4(a2))),
% 47.71/47.82 inference(scs_inference,[],[336,2])).
% 47.71/47.82 cnf(388,plain,
% 47.71/47.82 (~E(a6,f5(f4(a1),a7))),
% 47.71/47.82 inference(scs_inference,[],[338,366,151,2,3])).
% 47.71/47.82 cnf(391,plain,
% 47.71/47.82 (~E(f5(f5(f3(a6),a6),f4(a6)),a7)),
% 47.71/47.82 inference(scs_inference,[],[388,168,149,2,3])).
% 47.71/47.82 cnf(393,plain,
% 47.71/47.82 (E(f3(f5(a1,f4(a1))),f4(a2))),
% 47.71/47.82 inference(scs_inference,[],[139,2])).
% 47.71/47.82 cnf(394,plain,
% 47.71/47.82 (E(f5(f4(a2),f4(a1)),f5(f3(a1),f3(a7)))),
% 47.71/47.82 inference(scs_inference,[],[68,367,139,2,3])).
% 47.71/47.82 cnf(404,plain,
% 47.71/47.82 (E(f5(f3(a1),a1),f5(a1,f4(a1)))),
% 47.71/47.82 inference(scs_inference,[],[68,393,391,345,93,170,25,2,3,19])).
% 47.71/47.82 cnf(408,plain,
% 47.71/47.82 (E(f5(a1,f4(a1)),f5(f3(a1),a1))),
% 47.71/47.82 inference(scs_inference,[],[404,2])).
% 47.71/47.82 cnf(409,plain,
% 47.71/47.82 (~E(f5(f4(a1),f5(a7,f4(a7))),a6)),
% 47.71/47.82 inference(scs_inference,[],[404,212,226,2,3])).
% 47.71/47.82 cnf(415,plain,
% 47.71/47.82 (E(f5(f3(f4(a2)),f3(a1)),f4(f3(a1)))),
% 47.71/47.82 inference(scs_inference,[],[76,147,409,2,3])).
% 47.71/47.82 cnf(421,plain,
% 47.71/47.82 (~E(f5(a6,f4(a6)),f5(a7,f4(a7)))),
% 47.71/47.82 inference(scs_inference,[],[86,88,3])).
% 47.71/47.82 cnf(422,plain,
% 47.71/47.83 (E(x4221,f5(x4221,f4(x4221)))),
% 47.71/47.83 inference(rename_variables,[],[88])).
% 47.71/47.83 cnf(423,plain,
% 47.71/47.83 (~E(f5(a1,a7),f5(f5(a1,a6),f4(f5(a1,a6))))+~E(f3(a6),f4(a1))),
% 47.71/47.83 inference(scs_inference,[],[86,88,422,16,200,3,20])).
% 47.71/47.83 cnf(427,plain,
% 47.71/47.83 (E(f4(f3(a1)),f5(f3(f4(a2)),f3(a1)))),
% 47.71/47.83 inference(scs_inference,[],[415,2])).
% 47.71/47.83 cnf(428,plain,
% 47.71/47.83 (E(f3(f3(a1)),f4(f3(a1)))),
% 47.71/47.83 inference(scs_inference,[],[76,415,160,2,3])).
% 47.71/47.83 cnf(434,plain,
% 47.71/47.83 (E(f3(a7),f3(f3(a7)))),
% 47.71/47.83 inference(scs_inference,[],[272,278,3])).
% 47.71/47.83 cnf(456,plain,
% 47.71/47.83 (E(f5(f5(a1,f4(a1)),f4(a1)),f5(f3(a1),a1))),
% 47.71/47.83 inference(scs_inference,[],[91,232,408,2,3])).
% 47.71/47.83 cnf(463,plain,
% 47.71/47.83 (E(f5(f3(a1),a1),f5(f5(a1,f4(a1)),f4(a1)))),
% 47.71/47.83 inference(scs_inference,[],[456,2])).
% 47.71/47.83 cnf(468,plain,
% 47.71/47.83 (E(f4(f3(a1)),f3(f3(a1)))),
% 47.71/47.83 inference(scs_inference,[],[428,2])).
% 47.71/47.83 cnf(469,plain,
% 47.71/47.83 (E(f5(f5(x4691,f4(x4691)),f3(a7)),f5(x4691,f4(a1)))),
% 47.71/47.83 inference(scs_inference,[],[91,428,225,2,3])).
% 47.71/47.83 cnf(477,plain,
% 47.71/47.83 (E(f5(f5(x4771,f4(x4771)),f3(a1)),f5(x4771,f4(a2)))),
% 47.71/47.83 inference(scs_inference,[],[91,25,3])).
% 47.71/47.83 cnf(490,plain,
% 47.71/47.83 (E(f5(x4901,f4(a1)),f5(f5(x4901,f4(x4901)),f3(a7)))),
% 47.71/47.83 inference(scs_inference,[],[469,2])).
% 47.71/47.83 cnf(499,plain,
% 47.71/47.83 (~E(a6,f5(f5(a7,f4(a7)),f4(a7)))),
% 47.71/47.83 inference(scs_inference,[],[86,91,3])).
% 47.71/47.83 cnf(507,plain,
% 47.71/47.83 (~E(f5(a6,f4(a6)),f5(f5(a7,f4(a7)),f4(a7)))),
% 47.71/47.83 inference(scs_inference,[],[88,477,499,2,3])).
% 47.71/47.83 cnf(510,plain,
% 47.71/47.83 (E(f5(f3(x5101),x5101),f5(x5101,f4(x5101)))),
% 47.71/47.83 inference(scs_inference,[],[88,507,12,2,3])).
% 47.71/47.83 cnf(512,plain,
% 47.71/47.83 (E(f3(a1),f5(f3(f4(a2)),f4(a2)))),
% 47.71/47.83 inference(scs_inference,[],[103,2])).
% 47.71/47.83 cnf(513,plain,
% 47.71/47.83 (E(a1,f5(f5(a1,f4(a1)),f3(a7)))),
% 47.71/47.83 inference(scs_inference,[],[88,103,490,2,3])).
% 47.71/47.83 cnf(516,plain,
% 47.71/47.83 (~E(f5(a1,a6),f5(f3(f5(a1,a7)),f5(a1,a7)))+~E(f3(a6),f4(a1))),
% 47.71/47.83 inference(scs_inference,[],[105,16,200,20])).
% 47.71/47.83 cnf(522,plain,
% 47.71/47.83 (E(f5(x5221,f4(x5221)),f5(f3(x5221),x5221))),
% 47.71/47.83 inference(scs_inference,[],[510,2])).
% 47.71/47.83 cnf(523,plain,
% 47.71/47.83 (E(a1,f5(a1,f3(a7)))),
% 47.71/47.83 inference(scs_inference,[],[91,510,513,2,3])).
% 47.71/47.83 cnf(526,plain,
% 47.71/47.83 (E(f5(a1,x5261),f5(f5(a1,f3(a7)),x5261))),
% 47.71/47.83 inference(scs_inference,[],[91,510,513,2,3,5,6])).
% 47.71/47.83 cnf(529,plain,
% 47.71/47.83 (E(f5(f3(a1),a1),f5(a1,f3(a7)))),
% 47.71/47.83 inference(scs_inference,[],[523,12,3])).
% 47.71/47.83 cnf(558,plain,
% 47.71/47.83 (E(f4(f3(a6)),f4(f5(a2,a1)))),
% 47.71/47.83 inference(scs_inference,[],[120,2])).
% 47.71/47.83 cnf(559,plain,
% 47.71/47.83 (E(f3(a6),f3(f4(a1)))),
% 47.71/47.83 inference(scs_inference,[],[120,122,261,2,3])).
% 47.71/47.83 cnf(560,plain,
% 47.71/47.83 (E(f4(a1),f4(f3(a6)))),
% 47.71/47.83 inference(scs_inference,[],[120,260,3])).
% 47.71/47.83 cnf(562,plain,
% 47.71/47.83 (E(x5621,f5(f3(x5621),x5621))),
% 47.71/47.83 inference(rename_variables,[],[105])).
% 47.71/47.83 cnf(563,plain,
% 47.71/47.83 (~E(f5(a1,a7),f5(f3(f5(a1,a6)),f5(a1,a6)))+~E(f3(a6),f4(a1))),
% 47.71/47.83 inference(scs_inference,[],[105,562,463,39,200,3,20])).
% 47.71/47.83 cnf(572,plain,
% 47.71/47.83 (E(f3(f3(a1)),f5(f3(f3(a1)),f3(a1)))),
% 47.71/47.83 inference(scs_inference,[],[105,160,3])).
% 47.71/47.83 cnf(580,plain,
% 47.71/47.83 (E(f4(f3(a1)),f5(f3(f3(a1)),f3(a1)))),
% 47.71/47.83 inference(scs_inference,[],[572,468,2,3])).
% 47.71/47.83 cnf(586,plain,
% 47.71/47.83 (~E(f5(f5(a6,f4(a6)),f4(a6)),f5(a7,f4(a7)))),
% 47.71/47.83 inference(scs_inference,[],[126,421,3])).
% 47.71/47.83 cnf(589,plain,
% 47.71/47.83 (E(f5(f3(x5891),x5891),f5(f5(x5891,f4(x5891)),f4(x5891)))),
% 47.71/47.83 inference(scs_inference,[],[126,586,510,2,3])).
% 47.71/47.83 cnf(592,plain,
% 47.71/47.83 (E(f5(f5(x5921,f4(x5921)),f4(x5921)),f5(f3(x5921),x5921))),
% 47.71/47.83 inference(scs_inference,[],[589,2])).
% 47.71/47.83 cnf(593,plain,
% 47.71/47.83 (E(f5(f3(a1),a1),f5(f5(a1,f3(a7)),f3(a7)))),
% 47.71/47.83 inference(scs_inference,[],[589,526,529,2,3])).
% 47.71/47.83 cnf(595,plain,
% 47.71/47.83 (E(f5(f5(a1,f3(a7)),f3(a7)),f5(f3(a1),a1))),
% 47.71/47.83 inference(scs_inference,[],[593,2])).
% 47.71/47.83 cnf(602,plain,
% 47.71/47.83 (E(f3(a6),f3(f3(a7)))),
% 47.71/47.83 inference(scs_inference,[],[559,272,3])).
% 47.71/47.83 cnf(608,plain,
% 47.71/47.83 (~E(f5(f5(a6,f4(a6)),f4(a6)),a7)),
% 47.71/47.83 inference(scs_inference,[],[126,168,3])).
% 47.71/47.83 cnf(613,plain,
% 47.71/47.83 (E(f3(a1),f4(f5(a2,f4(a2))))),
% 47.71/47.83 inference(scs_inference,[],[125,608,8,2,3])).
% 47.71/47.83 cnf(616,plain,
% 47.71/47.83 (E(f4(f3(a6)),f4(a1))),
% 47.71/47.83 inference(scs_inference,[],[560,2])).
% 47.71/47.83 cnf(617,plain,
% 47.71/47.83 (E(f5(f5(a1,f4(a1)),f4(a1)),f5(a1,f3(a7)))),
% 47.71/47.83 inference(scs_inference,[],[592,560,529,2,3])).
% 47.71/47.83 cnf(628,plain,
% 47.71/47.83 (E(f3(a7),f4(f5(a1,f4(a1))))),
% 47.71/47.83 inference(scs_inference,[],[125,200,3])).
% 47.71/47.83 cnf(632,plain,
% 47.71/47.83 (E(f5(a1,f4(a1)),f5(a1,f3(a7)))),
% 47.71/47.83 inference(scs_inference,[],[126,617,2,3])).
% 47.71/47.83 cnf(635,plain,
% 47.82/47.83 (~E(f5(f5(f3(a7),a7),f4(a7)),f5(f3(a6),a6))),
% 47.82/47.83 inference(scs_inference,[],[149,112,3])).
% 47.82/47.83 cnf(639,plain,
% 47.82/47.83 (E(f5(a1,f4(a1)),f5(f5(f3(a1),a1),f3(a7)))),
% 47.82/47.83 inference(scs_inference,[],[149,632,635,2,3])).
% 47.82/47.83 cnf(642,plain,
% 47.82/47.83 (E(f3(a1),f5(f3(f4(a2)),f3(a1)))),
% 47.82/47.83 inference(scs_inference,[],[147,2])).
% 47.82/47.83 cnf(643,plain,
% 47.82/47.83 (E(f5(f3(f4(a2)),f3(a1)),f3(f4(a2)))),
% 47.82/47.83 inference(scs_inference,[],[147,231,2,3])).
% 47.82/47.83 cnf(649,plain,
% 47.82/47.83 (E(f5(f5(f3(a1),a1),f3(a7)),f5(a1,f4(a1)))),
% 47.82/47.83 inference(scs_inference,[],[151,639,39,200,20,2])).
% 47.82/47.83 cnf(650,plain,
% 47.82/47.83 (~E(f3(f3(a7)),f4(a1))+~E(f5(a1,a6),f5(a1,f5(f3(a7),a7)))),
% 47.82/47.83 inference(scs_inference,[],[151,639,602,39,200,20,2,3])).
% 47.82/47.83 cnf(652,plain,
% 47.82/47.83 (E(x6521,f5(f3(x6521),f5(f3(x6521),x6521)))),
% 47.82/47.83 inference(scs_inference,[],[151,105,3])).
% 47.82/47.83 cnf(656,plain,
% 47.82/47.83 (E(f5(f3(f4(a2)),f3(a1)),f4(f4(a2)))),
% 47.82/47.83 inference(scs_inference,[],[643,334,3])).
% 47.82/47.83 cnf(658,plain,
% 47.82/47.83 (~E(f5(f5(f3(a7),a7),f4(a7)),a6)),
% 47.82/47.83 inference(scs_inference,[],[149,98,3])).
% 47.82/47.83 cnf(662,plain,
% 47.82/47.83 (E(f3(a1),f4(f5(f3(a2),a2)))),
% 47.82/47.83 inference(scs_inference,[],[150,658,8,2,3])).
% 47.82/47.83 cnf(670,plain,
% 47.82/47.83 (E(f3(a1),f4(f4(a2)))),
% 47.82/47.83 inference(scs_inference,[],[652,656,642,2,3])).
% 47.82/47.83 cnf(677,plain,
% 47.82/47.83 (E(f3(a7),f4(f5(f3(a1),a1)))),
% 47.82/47.83 inference(scs_inference,[],[150,613,200,2,3])).
% 47.82/47.83 cnf(680,plain,
% 47.82/47.83 (E(f5(f3(f4(a2)),f3(a1)),f3(f3(a1)))),
% 47.82/47.83 inference(scs_inference,[],[147,244,3])).
% 47.82/47.83 cnf(683,plain,
% 47.82/47.83 (E(f3(f3(a1)),f5(f3(f4(a2)),f3(a1)))),
% 47.82/47.83 inference(scs_inference,[],[680,2])).
% 47.82/47.83 cnf(692,plain,
% 47.82/47.83 (E(f3(f3(a1)),f4(f4(a2)))),
% 47.82/47.83 inference(scs_inference,[],[160,580,670,2,3])).
% 47.82/47.83 cnf(703,plain,
% 47.82/47.83 (E(f4(f5(f3(a1),a1)),f3(a7))),
% 47.82/47.83 inference(scs_inference,[],[677,2])).
% 47.82/47.83 cnf(704,plain,
% 47.82/47.83 (E(f3(f4(a2)),f5(f3(f4(a2)),f3(a1)))),
% 47.82/47.83 inference(scs_inference,[],[677,427,304,2,3])).
% 47.82/47.83 cnf(707,plain,
% 47.82/47.83 (E(f4(f5(a1,f4(a1))),f3(a7))),
% 47.82/47.83 inference(scs_inference,[],[628,2])).
% 47.82/47.83 cnf(727,plain,
% 47.82/47.83 (E(f3(f3(a1)),f5(f3(f4(a2)),f4(a2)))),
% 47.82/47.83 inference(scs_inference,[],[160,662,512,2,3])).
% 47.82/47.83 cnf(729,plain,
% 47.82/47.83 (E(f4(f4(a2)),f5(f3(f4(a2)),f3(a1)))),
% 47.82/47.83 inference(scs_inference,[],[704,331,3])).
% 47.82/47.83 cnf(731,plain,
% 47.82/47.83 (E(f5(f5(f3(a1),a1),f4(a1)),f5(a1,f3(a7)))),
% 47.82/47.83 inference(scs_inference,[],[171,632,3])).
% 47.82/47.83 cnf(733,plain,
% 47.82/47.83 (E(f5(a1,f3(a7)),f5(f5(f3(a1),a1),f4(a1)))),
% 47.82/47.83 inference(scs_inference,[],[731,2])).
% 47.82/47.83 cnf(734,plain,
% 47.82/47.83 (E(f4(a2),f5(f3(f4(a2)),f3(a1)))),
% 47.82/47.83 inference(scs_inference,[],[731,729,284,2,3])).
% 47.82/47.83 cnf(750,plain,
% 47.82/47.83 (E(f5(f3(f4(a2)),f4(a2)),f3(f3(a1)))),
% 47.82/47.83 inference(scs_inference,[],[727,2])).
% 47.82/47.83 cnf(757,plain,
% 47.82/47.83 (E(f4(a1),f3(a7))),
% 47.82/47.83 inference(scs_inference,[],[707,125,3])).
% 47.82/47.83 cnf(759,plain,
% 47.82/47.83 (E(f5(x7591,f4(a1)),f5(x7591,f3(a7)))),
% 47.82/47.83 inference(scs_inference,[],[707,125,3,7])).
% 47.82/47.83 cnf(760,plain,
% 47.82/47.83 (E(f5(f3(f4(a2)),f3(a1)),f4(a2))),
% 47.82/47.83 inference(scs_inference,[],[734,707,125,3,7,2])).
% 47.82/47.83 cnf(763,plain,
% 47.82/47.83 (E(f5(f5(a2,a1),a7),f5(a2,f5(a1,a7)))),
% 47.82/47.83 inference(scs_inference,[],[757,37])).
% 47.82/47.83 cnf(765,plain,
% 47.82/47.83 (E(f3(f5(a1,a7)),f3(a1))),
% 47.82/47.83 inference(scs_inference,[],[757,37,17])).
% 47.82/47.83 cnf(769,plain,
% 47.82/47.83 (E(f5(f4(a1),x7691),f5(f3(a7),x7691))),
% 47.82/47.83 inference(scs_inference,[],[757,37,17,18,6])).
% 47.82/47.83 cnf(775,plain,
% 47.82/47.83 (E(f5(a2,f5(a1,a7)),f5(f5(a2,a1),a7))),
% 47.82/47.83 inference(scs_inference,[],[763,2])).
% 47.82/47.83 cnf(777,plain,
% 47.82/47.83 (E(f3(f5(a1,a7)),f5(f3(f4(a2)),f3(a1)))),
% 47.82/47.83 inference(scs_inference,[],[765,642,3])).
% 47.82/47.83 cnf(779,plain,
% 47.82/47.83 (E(f3(f5(a1,a7)),f4(a2))),
% 47.82/47.83 inference(scs_inference,[],[777,760,3])).
% 47.82/47.83 cnf(780,plain,
% 47.82/47.83 (E(f5(f3(f4(a2)),f3(a1)),f3(f5(a1,a7)))),
% 47.82/47.83 inference(scs_inference,[],[777,760,3,2])).
% 47.82/47.83 cnf(802,plain,
% 47.82/47.83 (E(f3(f3(a1)),f3(f5(a1,a7)))),
% 47.82/47.83 inference(scs_inference,[],[780,683,639,200,9,20,3])).
% 47.82/47.83 cnf(804,plain,
% 47.82/47.83 (E(f5(f3(f4(a2)),f4(a2)),f3(f5(a1,a7)))),
% 47.82/47.83 inference(scs_inference,[],[802,750,3])).
% 47.82/47.83 cnf(805,plain,
% 47.82/47.83 (E(f3(f5(a1,a7)),f5(f3(f4(a2)),f4(a2)))),
% 47.82/47.83 inference(scs_inference,[],[804,2])).
% 47.82/47.83 cnf(812,plain,
% 47.82/47.83 (E(f3(a7),f4(f3(f4(a1))))),
% 47.82/47.83 inference(scs_inference,[],[186,200,3])).
% 47.82/47.83 cnf(823,plain,
% 47.82/47.83 (E(f3(f4(f5(a2,a1))),f3(a7))),
% 47.82/47.83 inference(scs_inference,[],[253,522,779,9,19,2])).
% 47.82/47.83 cnf(828,plain,
% 47.82/47.83 (E(f3(f4(f5(a2,a1))),f4(a1))),
% 47.82/47.83 inference(scs_inference,[],[200,823,3])).
% 47.82/47.83 cnf(834,plain,
% 47.82/47.83 (E(f3(f5(a7,f4(a7))),f4(a1))),
% 47.82/47.83 inference(scs_inference,[],[200,65,3])).
% 47.82/47.83 cnf(843,plain,
% 47.82/47.83 (E(f4(f3(a6)),f3(a7))),
% 47.82/47.83 inference(scs_inference,[],[219,2])).
% 47.82/47.83 cnf(844,plain,
% 47.82/47.83 (E(f4(f5(f3(a6),a7)),f4(a7))),
% 47.82/47.83 inference(scs_inference,[],[219,2,18])).
% 47.82/47.83 cnf(846,plain,
% 47.82/47.83 (E(f5(a2,f3(a1)),f5(f3(a2),a2))),
% 47.82/47.83 inference(scs_inference,[],[219,592,325,2,18,3])).
% 47.82/47.83 cnf(852,plain,
% 47.82/47.83 (E(f3(f4(a2)),f3(f5(a1,a7)))),
% 47.82/47.83 inference(scs_inference,[],[780,704,3])).
% 47.82/47.83 cnf(854,plain,
% 47.82/47.83 (E(f3(f4(a2)),f5(f3(f4(a2)),f4(a2)))),
% 47.82/47.83 inference(scs_inference,[],[846,852,805,2,3])).
% 47.82/47.83 cnf(867,plain,
% 47.82/47.83 (E(f4(f3(a6)),f3(f4(a1)))),
% 47.82/47.83 inference(scs_inference,[],[843,278,3])).
% 47.82/47.83 cnf(869,plain,
% 47.82/47.83 (E(f3(f5(a1,a7)),f3(f4(a2)))),
% 47.82/47.83 inference(scs_inference,[],[231,765,3])).
% 47.82/47.83 cnf(878,plain,
% 47.82/47.83 (E(f5(f3(a1),a1),f5(f5(a1,f3(a7)),f4(a1)))),
% 47.82/47.83 inference(scs_inference,[],[225,844,593,2,3])).
% 47.82/47.83 cnf(888,plain,
% 47.82/47.83 (E(f5(f5(a1,f3(a7)),f4(a1)),f5(f3(a1),a1))),
% 47.82/47.83 inference(scs_inference,[],[225,878,526,3,2])).
% 47.82/47.83 cnf(892,plain,
% 47.82/47.83 (E(f4(f3(a6)),f3(f3(a7)))),
% 47.82/47.83 inference(scs_inference,[],[867,272,3])).
% 47.82/47.83 cnf(897,plain,
% 47.82/47.83 (E(f4(a1),f3(f3(a7)))),
% 47.82/47.83 inference(scs_inference,[],[812,892,560,2,3])).
% 47.82/47.83 cnf(906,plain,
% 47.82/47.83 (E(f3(f4(a1)),f4(f5(a2,a1)))),
% 47.82/47.83 inference(scs_inference,[],[261,2])).
% 47.82/47.83 cnf(919,plain,
% 47.82/47.83 (E(f3(f5(a1,a7)),f4(f3(a1)))),
% 47.82/47.83 inference(scs_inference,[],[869,304,3])).
% 47.82/47.83 cnf(922,plain,
% 47.82/47.83 (E(f4(f5(a2,a1)),f3(f3(a7)))),
% 47.82/47.83 inference(scs_inference,[],[272,261,3])).
% 47.82/47.83 cnf(926,plain,
% 47.82/47.83 (E(f4(f3(a1)),f5(f3(f4(a2)),f4(a2)))),
% 47.82/47.83 inference(scs_inference,[],[273,854,3])).
% 47.82/47.83 cnf(930,plain,
% 47.82/47.83 (E(f3(f4(a1)),f3(a7))),
% 47.82/47.83 inference(scs_inference,[],[278,273,266,854,93,3,20,2])).
% 47.82/47.83 cnf(942,plain,
% 47.82/47.83 (E(f3(f5(a1,a7)),f5(f3(f3(a1)),f3(a1)))),
% 47.82/47.83 inference(scs_inference,[],[919,580,3])).
% 47.82/47.83 cnf(949,plain,
% 47.82/47.83 (~E(f5(a1,a6),f5(a1,f5(f3(a7),a7)))),
% 47.82/47.83 inference(scs_inference,[],[897,650,2])).
% 47.82/47.83 cnf(951,plain,
% 47.82/47.83 (E(f4(f3(a1)),f3(f5(a1,a7)))),
% 47.82/47.83 inference(scs_inference,[],[949,926,804,2,3])).
% 47.82/47.83 cnf(954,plain,
% 47.82/47.83 (E(a1,f5(f5(f3(a1),a1),f4(a1)))),
% 47.82/47.83 inference(scs_inference,[],[326,733,523,2,3])).
% 47.82/47.83 cnf(961,plain,
% 47.82/47.83 (E(f5(f5(f3(a1),a1),f4(a1)),a1)),
% 47.82/47.83 inference(scs_inference,[],[954,2])).
% 47.82/47.83 cnf(966,plain,
% 47.82/47.83 (E(f3(f4(a1)),f4(f3(a6)))),
% 47.82/47.83 inference(scs_inference,[],[930,219,3])).
% 47.82/47.83 cnf(971,plain,
% 47.82/47.83 (E(f4(a2),f3(f5(a1,a7)))),
% 47.82/47.83 inference(scs_inference,[],[951,199,3])).
% 47.82/47.83 cnf(981,plain,
% 47.82/47.83 (E(f5(a1,f3(a7)),a1)),
% 47.82/47.83 inference(scs_inference,[],[961,733,3])).
% 47.82/47.83 cnf(982,plain,
% 47.82/47.83 (E(f5(f5(a1,f3(a7)),x9821),f5(a1,x9821))),
% 47.82/47.83 inference(scs_inference,[],[961,733,3,6])).
% 47.82/47.83 cnf(987,plain,
% 47.82/47.83 (E(f5(f5(a1,f3(a7)),f3(a7)),a1)),
% 47.82/47.83 inference(scs_inference,[],[982,981,3])).
% 47.82/47.83 cnf(1007,plain,
% 47.82/47.83 (~E(f5(a1,a7),f5(f5(a1,f3(a7)),a6))+~E(f3(a6),f4(a1))),
% 47.82/47.83 inference(scs_inference,[],[331,987,59,526,16,200,2,3,18,20])).
% 47.82/47.83 cnf(1023,plain,
% 47.82/47.83 (E(f5(f3(f3(a1)),f3(a1)),f3(f5(a1,a7)))),
% 47.82/47.83 inference(scs_inference,[],[888,942,529,3,2])).
% 47.82/47.83 cnf(1025,plain,
% 47.82/47.83 (E(f5(f3(f3(a1)),f4(a2)),f3(f5(a1,a7)))),
% 47.82/47.83 inference(scs_inference,[],[1023,67,3])).
% 47.82/47.83 cnf(1032,plain,
% 47.82/47.83 (E(f3(f5(a1,a7)),f5(f3(f3(a1)),f4(a2)))),
% 47.82/47.83 inference(scs_inference,[],[1025,2])).
% 47.82/47.83 cnf(1035,plain,
% 47.82/47.83 (E(f4(a2),f5(f3(f3(a1)),f4(a2)))),
% 47.82/47.83 inference(scs_inference,[],[971,1032,3])).
% 47.82/47.83 cnf(1040,plain,
% 47.82/47.83 (E(f3(f3(a1)),f5(f3(f3(a1)),f4(a2)))),
% 47.82/47.83 inference(scs_inference,[],[372,1035,775,779,8,2,19,3])).
% 47.82/47.83 cnf(1052,plain,
% 47.82/47.83 (E(f5(f3(f3(a1)),f4(a2)),f3(f3(a1)))),
% 47.82/47.83 inference(scs_inference,[],[372,1040,759,19,2])).
% 47.82/47.83 cnf(1054,plain,
% 47.82/47.83 (E(f5(f3(f3(a1)),f4(a2)),f4(f4(a2)))),
% 47.82/47.83 inference(scs_inference,[],[1052,692,3])).
% 47.82/47.83 cnf(1056,plain,
% 47.82/47.83 (E(f3(f3(a7)),f4(f3(a6)))),
% 47.82/47.83 inference(scs_inference,[],[966,224,3])).
% 47.82/47.83 cnf(1059,plain,
% 47.82/47.83 (E(f4(f4(a2)),f5(f3(f3(a1)),f4(a2)))),
% 47.82/47.83 inference(scs_inference,[],[1054,2])).
% 47.82/47.83 cnf(1061,plain,
% 47.82/47.83 (E(f4(f3(a1)),f5(f3(f3(a1)),f4(a2)))),
% 47.82/47.83 inference(scs_inference,[],[1059,27,3])).
% 47.82/47.83 cnf(1063,plain,
% 47.82/47.83 (E(f3(f4(a2)),f5(f3(f3(a1)),f4(a2)))),
% 47.82/47.83 inference(scs_inference,[],[1061,304,3])).
% 47.82/47.83 cnf(1064,plain,
% 47.82/47.83 (~E(f5(a1,a6),f5(f5(a1,f3(a7)),a7))+~E(f3(a6),f4(a1))),
% 47.82/47.83 inference(scs_inference,[],[1061,304,526,39,200,3,20])).
% 47.82/47.83 cnf(1067,plain,
% 47.82/47.83 (~E(f5(f5(a1,f3(a7)),a7),f5(a1,a6))+~E(f3(a6),f4(a1))),
% 47.82/47.83 inference(scs_inference,[],[1061,304,526,39,200,3,20,2])).
% 47.82/47.83 cnf(1069,plain,
% 47.82/47.83 (E(f5(f3(f3(a1)),f4(a2)),f3(f4(a2)))),
% 47.82/47.83 inference(scs_inference,[],[1063,2])).
% 47.82/47.83 cnf(1085,plain,
% 47.82/47.83 (E(f3(f3(a7)),f3(a6))),
% 47.82/47.83 inference(scs_inference,[],[602,522,828,834,779,93,9,20,19,2])).
% 47.82/47.83 cnf(1086,plain,
% 47.82/47.83 (E(f3(a7),f3(a6))),
% 47.82/47.83 inference(scs_inference,[],[1085,434,3])).
% 47.82/47.83 cnf(1087,plain,
% 47.82/47.83 (E(f3(f3(a7)),f3(f3(a6)))),
% 47.82/47.83 inference(scs_inference,[],[1086,4])).
% 47.82/47.83 cnf(1088,plain,
% 47.82/47.83 (E(f5(f3(a7),x10881),f5(f3(a6),x10881))),
% 47.82/47.83 inference(scs_inference,[],[1086,4,6])).
% 47.82/47.83 cnf(1089,plain,
% 47.82/47.83 (E(f4(f5(f3(a1),a1)),f3(a6))),
% 47.82/47.83 inference(scs_inference,[],[1086,703,4,6,3])).
% 47.82/47.83 cnf(1090,plain,
% 47.82/47.83 (~E(a7,f5(f3(a7),f5(f3(a6),a6)))),
% 47.82/47.83 inference(scs_inference,[],[1088,179,3])).
% 47.82/47.83 cnf(1092,plain,
% 47.82/47.83 (E(f4(f3(a7)),f4(f3(a6)))),
% 47.82/47.83 inference(scs_inference,[],[1088,179,1086,3,5])).
% 47.82/47.83 cnf(1093,plain,
% 47.82/47.83 (E(f5(x10931,f3(a7)),f5(x10931,f3(a6)))),
% 47.82/47.83 inference(scs_inference,[],[1088,179,1086,3,5,7])).
% 47.82/47.83 cnf(1095,plain,
% 47.82/47.83 (E(f5(f4(a2),f4(a1)),f5(f3(a1),f3(a6)))),
% 47.82/47.83 inference(scs_inference,[],[394,1093,1090,2,3])).
% 47.82/47.83 cnf(1098,plain,
% 47.82/47.83 (E(f5(f4(a2),f4(a1)),f5(f4(a2),f3(a6)))),
% 47.82/47.83 inference(scs_inference,[],[1095,26,2,3])).
% 47.82/47.83 cnf(1100,plain,
% 47.82/47.83 (~E(a7,f5(f3(a7),f5(a6,f4(a6))))),
% 47.82/47.83 inference(scs_inference,[],[156,1088,3])).
% 47.82/47.83 cnf(1102,plain,
% 47.82/47.83 (E(f5(f4(a2),f3(a6)),f5(f4(a2),f4(a1)))),
% 47.82/47.83 inference(scs_inference,[],[1098,156,1088,3,2])).
% 47.82/47.83 cnf(1111,plain,
% 47.82/47.83 (E(f3(f3(a6)),f3(f3(a7)))),
% 47.82/47.83 inference(scs_inference,[],[1087,2])).
% 47.82/47.83 cnf(1112,plain,
% 47.82/47.83 (E(f5(f4(a2),f3(a6)),f5(f3(a1),f3(a7)))),
% 47.82/47.83 inference(scs_inference,[],[394,1087,1102,2,3])).
% 47.82/47.83 cnf(1113,plain,
% 47.82/47.83 (~E(a7,f5(f4(a1),f5(f3(a6),a6)))),
% 47.82/47.83 inference(scs_inference,[],[769,1090,3])).
% 47.82/47.83 cnf(1116,plain,
% 47.82/47.83 (E(f3(f3(a6)),f4(f3(a6)))),
% 47.82/47.83 inference(scs_inference,[],[1111,1113,1056,2,3])).
% 47.82/47.83 cnf(1118,plain,
% 47.82/47.83 (E(f4(f3(a6)),f4(f3(a7)))),
% 47.82/47.83 inference(scs_inference,[],[1092,2])).
% 47.82/47.83 cnf(1119,plain,
% 47.82/47.83 (E(f4(f3(a7)),f4(f5(a2,a1)))),
% 47.82/47.83 inference(scs_inference,[],[1092,558,2,3])).
% 47.82/47.83 cnf(1122,plain,
% 47.82/47.83 (~E(a7,f5(f4(a1),f5(a6,f4(a6))))),
% 47.82/47.83 inference(scs_inference,[],[1100,769,3])).
% 47.82/47.83 cnf(1125,plain,
% 47.82/47.83 (E(f3(f3(a6)),f4(f3(a7)))),
% 47.82/47.83 inference(scs_inference,[],[1116,1118,1122,2,3])).
% 47.82/47.83 cnf(1127,plain,
% 47.82/47.83 (E(f3(f3(a6)),f4(f5(a2,a1)))),
% 47.82/47.83 inference(scs_inference,[],[1112,1125,1119,2,3])).
% 47.82/47.83 cnf(1131,plain,
% 47.82/47.83 (E(f4(f5(a2,a1)),f3(f3(a6)))),
% 47.82/47.83 inference(scs_inference,[],[1127,2])).
% 47.82/47.83 cnf(1132,plain,
% 47.82/47.83 (E(f3(f3(a7)),f4(f3(a7)))),
% 47.82/47.83 inference(scs_inference,[],[1127,1087,1125,2,3])).
% 47.82/47.83 cnf(1133,plain,
% 47.82/47.83 (E(f4(f4(a1)),f4(f5(a2,a1)))),
% 47.82/47.83 inference(scs_inference,[],[249,1119,3])).
% 47.82/47.83 cnf(1134,plain,
% 47.82/47.83 (E(f4(f3(a7)),f3(f3(a7)))),
% 47.82/47.83 inference(scs_inference,[],[1132,249,1119,3,2])).
% 47.82/47.83 cnf(1138,plain,
% 47.82/47.83 (E(f3(a6),f4(f5(f3(a1),a1)))),
% 47.82/47.83 inference(scs_inference,[],[1089,2])).
% 47.82/47.83 cnf(1139,plain,
% 47.82/47.83 (E(f4(f4(a1)),f3(f3(a6)))),
% 47.82/47.83 inference(scs_inference,[],[1089,1131,1133,2,3])).
% 47.82/47.83 cnf(1148,plain,
% 47.82/47.83 (E(f3(f3(a6)),f3(f4(a1)))),
% 47.82/47.83 inference(scs_inference,[],[1138,123,3,423,268,203,4])).
% 47.82/47.83 cnf(1149,plain,
% 47.82/47.83 (E(f5(f3(a6),x11491),f5(f4(a1),x11491))),
% 47.82/47.83 inference(scs_inference,[],[1138,123,3,423,268,203,4,6])).
% 47.82/47.83 cnf(1152,plain,
% 47.82/47.83 (~E(f5(a1,a6),f5(f5(a1,f3(a7)),a7))),
% 47.82/47.83 inference(scs_inference,[],[1138,123,3,423,268,203,4,6,2,1067,1064])).
% 47.82/47.83 cnf(1155,plain,
% 47.82/47.83 (~E(f5(a1,a6),f5(f3(f5(a1,a7)),f5(a1,a7)))),
% 47.82/47.83 inference(scs_inference,[],[1138,123,3,423,268,203,4,6,2,1067,1064,1007,563,516])).
% 47.82/47.83 cnf(1156,plain,
% 47.82/47.83 (~E(f5(a1,a7),f5(a1,f5(f3(a6),a6)))),
% 47.82/47.83 inference(scs_inference,[],[1138,123,3,423,268,203,4,6,2,1067,1064,1007,563,516,275])).
% 47.82/47.83 cnf(1157,plain,
% 47.82/47.83 (~E(f5(a1,a7),f5(a1,f5(a6,f4(a6))))),
% 47.82/47.83 inference(scs_inference,[],[1138,123,3,423,268,203,4,6,2,1067,1064,1007,563,516,275,263])).
% 47.82/47.83 cnf(1158,plain,
% 47.82/47.83 (~E(f5(a1,a6),f5(a1,f5(a7,f4(a7))))),
% 47.82/47.83 inference(scs_inference,[],[1138,123,3,423,268,203,4,6,2,1067,1064,1007,563,516,275,263,214])).
% 47.82/47.83 cnf(1160,plain,
% 47.82/47.83 (E(f4(f3(a6)),f4(f4(a1)))),
% 47.82/47.83 inference(scs_inference,[],[1138,123,3,423,268,203,4,6,2,1067,1064,1007,563,516,275,263,214,189,5])).
% 47.82/47.83 cnf(1161,plain,
% 47.82/47.83 (E(f5(x11611,f3(a6)),f5(x11611,f4(a1)))),
% 47.82/47.83 inference(scs_inference,[],[1138,123,3,423,268,203,4,6,2,1067,1064,1007,563,516,275,263,214,189,5,7])).
% 47.82/47.83 cnf(1166,plain,
% 47.82/47.83 (E(f5(f4(a1),x11661),f5(f3(a6),x11661))),
% 47.82/47.83 inference(scs_inference,[],[1149,2])).
% 47.82/47.83 cnf(1170,plain,
% 47.82/47.83 (E(f5(f4(a1),f3(a6)),f5(f3(a6),f4(a1)))),
% 47.82/47.83 inference(scs_inference,[],[1155,1161,1166,2,3])).
% 47.82/47.83 cnf(1176,plain,
% 47.82/47.83 (E(f4(f4(a1)),f3(f4(a1)))),
% 47.82/47.83 inference(scs_inference,[],[1139,1148,3])).
% 47.82/47.83 cnf(1177,plain,
% 47.82/47.83 (E(f5(f3(a6),f4(a1)),f5(f4(a1),f3(a6)))),
% 47.82/47.83 inference(scs_inference,[],[1170,1139,1148,3,2])).
% 47.82/47.83 cnf(1182,plain,
% 47.82/47.83 (~E(a6,f5(f3(a6),f5(f3(a7),a7)))),
% 47.82/47.83 inference(scs_inference,[],[366,1149,3])).
% 47.82/47.83 cnf(1188,plain,
% 47.82/47.83 (E(f5(f3(a6),f4(a1)),f5(f3(a6),f3(a6)))),
% 47.82/47.83 inference(scs_inference,[],[1177,1166,3])).
% 47.82/47.83 cnf(1190,plain,
% 47.82/47.83 (E(f4(f4(a1)),f4(f3(a6)))),
% 47.82/47.83 inference(scs_inference,[],[1177,1160,1166,3,2])).
% 47.82/47.83 cnf(1191,plain,
% 47.82/47.83 (E(f3(f4(a1)),f3(f3(a6)))),
% 47.82/47.83 inference(scs_inference,[],[906,1131,3])).
% 47.82/47.83 cnf(1193,plain,
% 47.82/47.83 (~E(f5(f3(a6),a6),f5(f3(a6),a7))),
% 47.82/47.83 inference(scs_inference,[],[317,1149,3])).
% 47.82/47.83 cnf(1195,plain,
% 47.82/47.83 (E(f3(f3(a7)),f3(a7))),
% 47.82/47.83 inference(scs_inference,[],[434,317,1149,3,2])).
% 47.82/47.83 cnf(1196,plain,
% 47.82/47.83 (E(f4(f4(a1)),f4(a1))),
% 47.82/47.83 inference(scs_inference,[],[1190,616,3])).
% 47.82/47.83 cnf(1197,plain,
% 47.82/47.83 (~E(f5(f3(a6),a7),f5(f3(a6),a6))),
% 47.82/47.83 inference(scs_inference,[],[1193,1190,616,3,2])).
% 47.82/47.83 cnf(1198,plain,
% 47.82/47.83 (E(f4(f3(a6)),f3(f3(a6)))),
% 47.82/47.83 inference(scs_inference,[],[1191,867,3])).
% 47.82/47.83 cnf(1199,plain,
% 47.82/47.83 (E(f3(f4(a1)),f4(f4(a1)))),
% 47.82/47.83 inference(scs_inference,[],[1176,1191,867,3,2])).
% 47.82/47.83 cnf(1200,plain,
% 47.82/47.83 (~E(f5(f3(a6),a7),f5(f4(a1),a6))),
% 47.82/47.83 inference(scs_inference,[],[1197,1166,3])).
% 47.82/47.83 cnf(1203,plain,
% 47.82/47.83 (E(f3(f3(a6)),f4(f4(a1)))),
% 47.82/47.83 inference(scs_inference,[],[1199,1148,3])).
% 47.82/47.83 cnf(1204,plain,
% 47.82/47.83 (E(f4(a1),f4(f4(a1)))),
% 47.82/47.83 inference(scs_inference,[],[1199,1196,1148,3,2])).
% 47.82/47.83 cnf(1208,plain,
% 47.82/47.83 (E(f5(f3(f4(a2)),f4(a2)),f4(f3(a1)))),
% 47.82/47.83 inference(scs_inference,[],[428,750,3])).
% 47.82/47.83 cnf(1209,plain,
% 47.82/47.83 (~E(f5(f4(a1),a6),f5(f3(a6),a7))),
% 47.82/47.83 inference(scs_inference,[],[428,1200,750,3,2])).
% 47.82/47.83 cnf(1216,plain,
% 47.82/47.83 (~E(f5(f4(a1),a6),f5(f3(a7),a7))),
% 47.82/47.83 inference(scs_inference,[],[1209,1088,3])).
% 47.82/47.83 cnf(1218,plain,
% 47.82/47.83 (E(f3(f4(a1)),f3(a6))),
% 47.82/47.83 inference(scs_inference,[],[1209,559,1088,3,2])).
% 47.82/47.83 cnf(1221,plain,
% 47.82/47.83 (E(f4(f4(a1)),f3(a6))),
% 47.82/47.83 inference(scs_inference,[],[1218,1176,3])).
% 47.82/47.83 cnf(1225,plain,
% 47.82/47.83 (E(f3(f3(a6)),f3(a6))),
% 47.82/47.83 inference(scs_inference,[],[1203,1221,3])).
% 47.82/47.83 cnf(1230,plain,
% 47.82/47.83 (E(f4(a1),f3(f3(a6)))),
% 47.82/47.83 inference(scs_inference,[],[1204,1139,3])).
% 47.82/47.83 cnf(1231,plain,
% 47.82/47.83 (E(f3(a6),f3(f3(a6)))),
% 47.82/47.83 inference(scs_inference,[],[1204,1225,1139,3,2])).
% 47.82/47.83 cnf(1240,plain,
% 47.82/47.83 (E(f3(f3(a6)),f3(a7))),
% 47.82/47.83 inference(scs_inference,[],[930,1148,3])).
% 47.82/47.83 cnf(1242,plain,
% 47.82/47.83 (E(f3(a6),f3(a7))),
% 47.82/47.83 inference(scs_inference,[],[1231,1240,3])).
% 47.82/47.83 cnf(1243,plain,
% 47.82/47.83 (E(f3(f3(a6)),f4(a1))),
% 47.82/47.83 inference(scs_inference,[],[1230,1231,1240,3,2])).
% 47.82/47.83 cnf(1244,plain,
% 47.82/47.83 (E(f5(f3(a6),x12441),f5(f3(a7),x12441))),
% 47.82/47.83 inference(scs_inference,[],[1230,1231,1240,3,2,6])).
% 47.82/47.83 cnf(1245,plain,
% 47.82/47.83 (E(f5(x12451,f3(a6)),f5(x12451,f3(a7)))),
% 47.82/47.83 inference(scs_inference,[],[1230,1231,1240,3,2,6,7])).
% 47.82/47.83 cnf(1249,plain,
% 47.82/47.83 (E(f5(f5(x12491,f4(x12491)),f3(a6)),f5(x12491,f4(a1)))),
% 47.82/47.83 inference(scs_inference,[],[469,1245,3])).
% 47.82/47.83 cnf(1261,plain,
% 47.82/47.83 (E(f5(f3(a6),f4(a1)),f5(f3(a7),f3(a6)))),
% 47.82/47.83 inference(scs_inference,[],[1188,1244,3])).
% 47.82/47.83 cnf(1270,plain,
% 47.82/47.83 (E(f5(x12701,f4(a1)),f5(f5(x12701,f4(x12701)),f3(a6)))),
% 47.82/47.83 inference(scs_inference,[],[1249,1197,592,3,2])).
% 47.82/47.83 cnf(1271,plain,
% 47.82/47.83 (E(f4(f3(a7)),f3(a6))),
% 47.82/47.83 inference(scs_inference,[],[1134,1085,3])).
% 47.82/47.83 cnf(1276,plain,
% 47.82/47.83 (E(f4(f5(f3(a7),a6)),f4(a6))),
% 47.82/47.83 inference(scs_inference,[],[1261,1271,1245,2,3,18])).
% 47.82/47.83 cnf(1279,plain,
% 47.82/47.83 (~E(f5(f5(f3(a6),a6),f4(a6)),f5(f3(a6),a7))),
% 47.82/47.83 inference(scs_inference,[],[1182,252,1149,2,3])).
% 47.82/47.83 cnf(1284,plain,
% 47.82/47.83 (E(f4(f4(a1)),f3(f3(a7)))),
% 47.82/47.83 inference(scs_inference,[],[1279,1133,922,2,3])).
% 47.82/47.83 cnf(1286,plain,
% 47.82/47.83 (~E(f5(f5(a7,f4(a7)),f4(a7)),f5(f3(a7),a6))),
% 47.82/47.83 inference(scs_inference,[],[1284,132,1088,2,3])).
% 47.82/47.83 cnf(1288,plain,
% 47.82/47.83 (~E(f5(f3(a7),a6),f5(f5(a7,f4(a7)),f4(a7)))),
% 47.82/47.83 inference(scs_inference,[],[1286,2])).
% 47.82/47.83 cnf(1313,plain,
% 47.82/47.83 (E(f4(f4(a1)),f3(a7))),
% 47.82/47.83 inference(scs_inference,[],[1195,1276,1284,2,3])).
% 47.82/47.83 cnf(1314,plain,
% 47.82/47.83 (E(f4(f5(f4(a1),a7)),f4(a7))),
% 47.82/47.83 inference(scs_inference,[],[1195,1276,1284,2,3,18])).
% 47.82/47.83 cnf(1317,plain,
% 47.82/47.83 (~E(f5(f3(a7),a6),f5(f3(a7),a7))),
% 47.82/47.83 inference(scs_inference,[],[1288,1156,589,2,3])).
% 47.82/47.83 cnf(1323,plain,
% 47.82/47.83 (E(f5(f3(f3(a1)),f4(a2)),f3(a1))),
% 47.82/47.83 inference(scs_inference,[],[1314,1069,59,2,3])).
% 47.82/47.83 cnf(1328,plain,
% 47.82/47.83 (E(f4(f3(a7)),f3(f3(a6)))),
% 47.82/47.83 inference(scs_inference,[],[1317,1198,1092,2,3])).
% 47.82/47.83 cnf(1333,plain,
% 47.82/47.83 (E(f3(a7),f4(f4(a1)))),
% 47.82/47.83 inference(scs_inference,[],[1313,2])).
% 47.82/47.83 cnf(1334,plain,
% 47.82/47.83 (~E(f5(f3(a7),a6),f5(f3(a6),a7))),
% 47.82/47.83 inference(scs_inference,[],[1313,1244,1317,2,3])).
% 47.82/47.83 cnf(1337,plain,
% 47.82/47.83 (E(f5(f3(a1),a1),f5(f5(a1,f4(a1)),f3(a7)))),
% 47.82/47.83 inference(scs_inference,[],[510,490,1334,2,3])).
% 47.82/47.83 cnf(1341,plain,
% 47.82/47.83 (E(f5(f5(a1,f3(a7)),f3(a7)),f5(a1,f4(a1)))),
% 47.82/47.83 inference(scs_inference,[],[510,1337,595,2,3])).
% 47.82/47.83 cnf(1344,plain,
% 47.82/47.83 (~E(f5(f3(a7),a6),f5(f4(a1),a7))),
% 47.82/47.83 inference(scs_inference,[],[1158,1334,1166,2,3])).
% 47.82/47.83 cnf(1347,plain,
% 47.82/47.83 (E(f5(f3(a1),a1),f5(f5(a1,f4(a1)),f3(a6)))),
% 47.82/47.83 inference(scs_inference,[],[510,1341,1270,2,3])).
% 47.82/47.83 cnf(1351,plain,
% 47.82/47.83 (E(f3(a6),f4(f4(a1)))),
% 47.82/47.83 inference(scs_inference,[],[1344,1333,1242,2,3])).
% 47.82/47.83 cnf(1370,plain,
% 47.82/47.83 (~E(f5(f4(a1),a6),f5(a7,f4(a7)))),
% 47.82/47.83 inference(scs_inference,[],[522,1157,1216,2,3])).
% 47.82/47.83 cnf(1373,plain,
% 47.82/47.83 (E(f3(a6),f4(f3(a7)))),
% 47.82/47.83 inference(scs_inference,[],[1347,1351,249,2,3])).
% 47.82/47.83 cnf(1375,plain,
% 47.82/47.83 (E(f5(f5(f3(a1),a1),f3(a7)),f5(f3(a1),a1))),
% 47.82/47.83 inference(scs_inference,[],[522,1370,649,2,3])).
% 47.82/47.83 cnf(1379,plain,
% 47.82/47.83 (~E(f5(f3(a7),a6),f5(a7,f4(a7)))),
% 47.82/47.83 inference(scs_inference,[],[522,1375,1317,2,3])).
% 47.82/47.83 cnf(1382,plain,
% 47.82/47.83 (E(f5(a1,f3(a6)),f5(f5(a1,f3(a7)),f3(a7)))),
% 47.82/47.83 inference(scs_inference,[],[526,1379,1245,2,3])).
% 47.82/47.83 cnf(1386,plain,
% 47.82/47.83 (E(f3(f4(a1)),f4(f3(a7)))),
% 47.82/47.83 inference(scs_inference,[],[1382,1373,1218,2,3])).
% 47.82/47.83 cnf(1389,plain,
% 47.82/47.83 (~E(f5(a1,a7),f5(a1,a6))),
% 47.82/47.83 inference(scs_inference,[],[526,1152,3,2])).
% 47.82/47.83 cnf(1396,plain,
% 47.82/47.83 (~E(f5(a2,f5(a1,a6)),f5(f5(a2,a1),a7))+~E(f3(f5(a1,a6)),f4(a2))),
% 47.82/47.83 inference(scs_inference,[],[1389,1386,1328,1243,775,779,2,3,19])).
% 47.82/47.83 cnf(1402,plain,
% 47.82/47.83 (E(f4(a1),f3(a6))),
% 47.82/47.83 inference(scs_inference,[],[522,1270,1197,1243,126,9,3,2,20])).
% 47.82/47.83 cnf(1407,plain,
% 47.82/47.83 (E(f5(x14071,f4(a1)),f5(x14071,f3(a6)))),
% 47.82/47.83 inference(scs_inference,[],[522,1270,1197,1243,126,9,3,2,20,7])).
% 47.82/47.83 cnf(1413,plain,
% 47.82/47.83 (E(f3(f5(a1,a6)),f3(a1))),
% 47.82/47.83 inference(scs_inference,[],[1402,37,17])).
% 47.82/47.84 cnf(1421,plain,
% 47.82/47.84 (E(f5(f5(a2,a1),a7),f5(a2,f5(a1,a6)))),
% 47.82/47.84 inference(scs_inference,[],[526,1402,1407,1323,37,17,18,2,3,77])).
% 47.82/47.84 cnf(1422,plain,
% 47.82/47.84 (E(f3(f5(a1,a6)),f5(f3(f4(a2)),f4(a2)))),
% 47.82/47.84 inference(scs_inference,[],[512,1413,3])).
% 47.82/47.84 cnf(1435,plain,
% 47.82/47.84 (E(f3(f5(a1,a6)),f4(f3(a1)))),
% 47.82/47.84 inference(scs_inference,[],[1422,1208,3])).
% 47.82/47.84 cnf(1437,plain,
% 47.82/47.84 (~E(f3(f5(a1,a6)),f4(a2))),
% 47.82/47.84 inference(scs_inference,[],[1421,2,1396])).
% 47.82/47.84 cnf(1445,plain,
% 47.82/47.84 ($false),
% 47.82/47.84 inference(scs_inference,[],[1435,1437,46,3]),
% 47.82/47.84 ['proof']).
% 47.82/47.84 % SZS output end Proof
% 47.82/47.84 % Total time :47.180000s
%------------------------------------------------------------------------------