TSTP Solution File: CAT018-4 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : CAT018-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n005.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 18:13:49 EDT 2023
% Result : Unsatisfiable 1.55s 1.63s
% Output : CNFRefutation 1.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CAT018-4 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n005.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 00:11:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 1.55/1.63 %-------------------------------------------
% 1.55/1.63 % File :CSE---1.6
% 1.55/1.63 % Problem :theBenchmark
% 1.55/1.63 % Transform :cnf
% 1.55/1.63 % Format :tptp:raw
% 1.55/1.63 % Command :java -jar mcs_scs.jar %d %s
% 1.55/1.63
% 1.55/1.63 % Result :Theorem 1.010000s
% 1.55/1.63 % Output :CNFRefutation 1.010000s
% 1.55/1.63 %-------------------------------------------
% 1.55/1.63 %--------------------------------------------------------------------------
% 1.55/1.63 % File : CAT018-4 : TPTP v8.1.2. Released v1.0.0.
% 1.55/1.63 % Domain : Category Theory
% 1.55/1.63 % Problem : If xy and yz exist, then so does x(yz)
% 1.55/1.63 % Version : [Sco79] axioms : Reduced > Complete.
% 1.55/1.63 % English :
% 1.55/1.63
% 1.55/1.63 % Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% 1.55/1.63 % Source : [TPTP]
% 1.55/1.63 % Names :
% 1.55/1.63
% 1.55/1.63 % Status : Unsatisfiable
% 1.55/1.63 % Rating : 0.00 v6.0.0, 0.33 v5.5.0, 0.31 v5.4.0, 0.27 v5.3.0, 0.33 v5.2.0, 0.38 v5.1.0, 0.29 v4.1.0, 0.22 v4.0.1, 0.33 v3.3.0, 0.29 v3.1.0, 0.33 v2.7.0, 0.17 v2.6.0, 0.43 v2.5.0, 0.20 v2.4.0, 0.17 v2.2.1, 0.44 v2.2.0, 0.57 v2.1.0, 0.80 v2.0.0
% 1.55/1.63 % Syntax : Number of clauses : 14 ( 6 unt; 0 nHn; 11 RR)
% 1.55/1.63 % Number of literals : 24 ( 7 equ; 11 neg)
% 1.55/1.63 % Maximal clause size : 3 ( 1 avg)
% 1.55/1.63 % Maximal term depth : 3 ( 1 avg)
% 1.55/1.63 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 1.55/1.63 % Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% 1.55/1.63 % Number of variables : 19 ( 2 sgn)
% 1.55/1.63 % SPC : CNF_UNS_RFO_SEQ_HRN
% 1.55/1.63
% 1.55/1.63 % Comments : The dependent axioms have been removed.
% 1.55/1.63 %--------------------------------------------------------------------------
% 1.55/1.63 %----Include Scott's axioms for category theory
% 1.55/1.63 include('Axioms/CAT004-0.ax').
% 1.55/1.63 %--------------------------------------------------------------------------
% 1.55/1.63 cnf(assume_ab_exists,hypothesis,
% 1.55/1.63 there_exists(compose(a,b)) ).
% 1.55/1.63
% 1.55/1.63 cnf(assume_bc_exists,hypothesis,
% 1.55/1.63 there_exists(compose(b,c)) ).
% 1.55/1.63
% 1.55/1.63 cnf(prove_a_bc_exists,negated_conjecture,
% 1.55/1.63 ~ there_exists(compose(a,compose(b,c))) ).
% 1.55/1.63
% 1.55/1.63 %--------------------------------------------------------------------------
% 1.55/1.63 %-------------------------------------------
% 1.55/1.63 % Proof found
% 1.55/1.63 % SZS status Theorem for theBenchmark
% 1.55/1.63 % SZS output start Proof
% 1.55/1.63 %ClaNum:24(EqnAxiom:10)
% 1.55/1.63 %VarNum:40(SingletonVarNum:19)
% 1.55/1.63 %MaxLitNum:3
% 1.55/1.63 %MaxfuncDepth:2
% 1.55/1.63 %SharedTerms:9
% 1.55/1.63 %goalClause: 16
% 1.55/1.63 %singleGoalClaCount:1
% 1.55/1.63 [13]P1(f2(a4,a5))
% 1.55/1.63 [14]P1(f2(a5,a6))
% 1.55/1.63 [16]~P1(f2(a4,f2(a5,a6)))
% 1.55/1.63 [11]E(f2(x111,f1(x111)),x111)
% 1.55/1.63 [12]E(f2(f3(x121),x121),x121)
% 1.55/1.63 [15]E(f2(f2(x151,x152),x153),f2(x151,f2(x152,x153)))
% 1.55/1.63 [17]P1(x171)+~P1(f1(x171))
% 1.55/1.63 [18]P1(x181)+~P1(f3(x181))
% 1.55/1.63 [19]~P2(x191,x192)+E(x191,x192)
% 1.55/1.63 [21]P1(x211)+~P2(x211,x212)
% 1.55/1.63 [22]E(f3(x221),f1(x222))+~P1(f2(x222,x221))
% 1.55/1.63 [23]P1(f1(x231))+~P1(f2(x231,x232))
% 1.55/1.63 [20]~E(x201,x202)+~P1(x201)+P2(x201,x202)
% 1.55/1.63 [24]~E(f3(x242),f1(x241))+~P1(f1(x241))+P1(f2(x241,x242))
% 1.55/1.63 %EqnAxiom
% 1.55/1.63 [1]E(x11,x11)
% 1.55/1.63 [2]E(x22,x21)+~E(x21,x22)
% 1.55/1.63 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.55/1.63 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 1.55/1.63 [5]~E(x51,x52)+E(f2(x51,x53),f2(x52,x53))
% 1.55/1.63 [6]~E(x61,x62)+E(f2(x63,x61),f2(x63,x62))
% 1.55/1.63 [7]~E(x71,x72)+E(f3(x71),f3(x72))
% 1.55/1.63 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 1.55/1.63 [9]P2(x92,x93)+~E(x91,x92)+~P2(x91,x93)
% 1.55/1.63 [10]P2(x103,x102)+~E(x101,x102)+~P2(x103,x101)
% 1.55/1.63
% 1.55/1.63 %-------------------------------------------
% 1.55/1.64 cnf(25,plain,
% 1.55/1.64 (E(x251,f2(x251,f1(x251)))),
% 1.55/1.64 inference(scs_inference,[],[11,2])).
% 1.55/1.64 cnf(26,plain,
% 1.55/1.64 (~P2(f2(a4,f2(a5,a6)),x261)),
% 1.55/1.64 inference(scs_inference,[],[16,11,2,21])).
% 1.55/1.64 cnf(28,plain,
% 1.55/1.64 (E(f3(a5),f1(a4))),
% 1.55/1.64 inference(scs_inference,[],[16,13,11,2,21,22])).
% 1.55/1.64 cnf(30,plain,
% 1.55/1.64 (~P1(f2(f2(a4,a5),a6))),
% 1.55/1.64 inference(scs_inference,[],[16,13,11,15,2,21,22,8])).
% 1.55/1.64 cnf(31,plain,
% 1.55/1.64 (E(f2(f2(x311,x312),x313),f2(x311,f2(x312,x313)))),
% 1.55/1.64 inference(rename_variables,[],[15])).
% 1.55/1.64 cnf(32,plain,
% 1.55/1.64 (E(f2(f3(a5),f1(f3(a5))),f1(a4))),
% 1.55/1.64 inference(scs_inference,[],[16,13,11,15,2,21,22,8,3])).
% 1.55/1.64 cnf(33,plain,
% 1.55/1.64 (E(f2(x331,f1(x331)),x331)),
% 1.55/1.64 inference(rename_variables,[],[11])).
% 1.55/1.64 cnf(34,plain,
% 1.55/1.64 (~P1(f3(f2(a4,f2(a5,a6))))),
% 1.55/1.64 inference(scs_inference,[],[16,13,11,15,2,21,22,8,3,18])).
% 1.55/1.64 cnf(36,plain,
% 1.55/1.64 (~P1(f1(f2(a4,f2(a5,a6))))),
% 1.55/1.64 inference(scs_inference,[],[16,13,11,15,2,21,22,8,3,18,17])).
% 1.55/1.64 cnf(38,plain,
% 1.55/1.64 (E(f3(f2(x381,f1(x381))),f3(x381))),
% 1.55/1.64 inference(scs_inference,[],[16,13,11,33,15,2,21,22,8,3,18,17,7])).
% 1.55/1.64 cnf(39,plain,
% 1.55/1.64 (E(f2(x391,f2(x392,f1(x392))),f2(x391,x392))),
% 1.55/1.64 inference(scs_inference,[],[16,13,11,33,15,2,21,22,8,3,18,17,7,6])).
% 1.55/1.64 cnf(40,plain,
% 1.55/1.64 (E(f2(f2(x401,f1(x401)),x402),f2(x401,x402))),
% 1.55/1.64 inference(scs_inference,[],[16,13,11,33,15,2,21,22,8,3,18,17,7,6,5])).
% 1.55/1.64 cnf(41,plain,
% 1.55/1.64 (E(f1(f2(x411,f1(x411))),f1(x411))),
% 1.55/1.64 inference(scs_inference,[],[16,13,11,33,15,2,21,22,8,3,18,17,7,6,5,4])).
% 1.55/1.64 cnf(42,plain,
% 1.55/1.64 (P1(f1(a4))),
% 1.55/1.64 inference(scs_inference,[],[16,13,11,33,15,2,21,22,8,3,18,17,7,6,5,4,23])).
% 1.55/1.64 cnf(44,plain,
% 1.55/1.64 (~P2(f2(f2(a4,a5),a6),x441)),
% 1.55/1.64 inference(scs_inference,[],[16,13,11,33,15,31,2,21,22,8,3,18,17,7,6,5,4,23,9])).
% 1.55/1.64 cnf(46,plain,
% 1.55/1.64 (P2(f2(x461,f1(x461)),x461)+~P1(f2(x461,f1(x461)))),
% 1.55/1.64 inference(scs_inference,[],[16,13,11,33,15,31,2,21,22,8,3,18,17,7,6,5,4,23,9,20])).
% 1.55/1.64 cnf(49,plain,
% 1.55/1.64 (~E(f3(f2(a5,a6)),f1(a4))),
% 1.55/1.64 inference(scs_inference,[],[16,42,24])).
% 1.55/1.64 cnf(52,plain,
% 1.55/1.64 (P1(a4)),
% 1.55/1.64 inference(scs_inference,[],[16,42,24,2,17])).
% 1.55/1.64 cnf(54,plain,
% 1.55/1.64 (~P1(f2(f2(a4,f2(a5,a6)),x541))),
% 1.55/1.64 inference(scs_inference,[],[16,36,42,24,2,17,23])).
% 1.55/1.64 cnf(57,plain,
% 1.55/1.64 (~P2(f3(f2(a5,a6)),f1(a4))),
% 1.55/1.64 inference(scs_inference,[],[16,14,36,42,24,2,17,23,8,19])).
% 1.55/1.64 cnf(60,plain,
% 1.55/1.64 (P2(f2(a5,a6),f2(f2(a5,a6),f1(f2(a5,a6))))),
% 1.55/1.64 inference(scs_inference,[],[16,14,12,25,36,42,24,2,17,23,8,19,10,20])).
% 1.55/1.64 cnf(61,plain,
% 1.55/1.64 (E(x611,f2(x611,f1(x611)))),
% 1.55/1.64 inference(rename_variables,[],[25])).
% 1.55/1.64 cnf(63,plain,
% 1.55/1.64 (~E(f2(a5,a6),f2(f2(a4,a5),a6))),
% 1.55/1.64 inference(scs_inference,[],[16,14,12,25,44,36,42,24,2,17,23,8,19,10,20,9])).
% 1.55/1.64 cnf(64,plain,
% 1.55/1.64 (E(f3(a5),f2(f1(a4),f1(f1(a4))))),
% 1.55/1.64 inference(scs_inference,[],[16,14,12,25,61,44,36,28,42,24,2,17,23,8,19,10,20,9,3])).
% 1.55/1.64 cnf(66,plain,
% 1.55/1.64 (~E(a5,f2(a4,a5))),
% 1.55/1.64 inference(scs_inference,[],[16,14,12,25,61,44,36,28,42,24,2,17,23,8,19,10,20,9,3,5])).
% 1.55/1.64 cnf(67,plain,
% 1.55/1.64 (P1(f1(a5))),
% 1.55/1.64 inference(scs_inference,[],[14,23])).
% 1.55/1.64 cnf(69,plain,
% 1.55/1.64 (P2(f2(a5,a6),f2(a5,a6))),
% 1.55/1.64 inference(scs_inference,[],[11,14,60,23,10])).
% 1.55/1.64 cnf(70,plain,
% 1.55/1.64 (E(f2(x701,f1(x701)),x701)),
% 1.55/1.64 inference(rename_variables,[],[11])).
% 1.55/1.64 cnf(71,plain,
% 1.55/1.64 (E(x711,f2(f3(x711),x711))),
% 1.55/1.64 inference(scs_inference,[],[11,12,14,60,23,10,2])).
% 1.55/1.64 cnf(72,plain,
% 1.55/1.64 (~P1(f1(f2(f2(a4,a5),a6)))),
% 1.55/1.64 inference(scs_inference,[],[11,12,14,60,30,23,10,2,17])).
% 1.55/1.64 cnf(74,plain,
% 1.55/1.64 (E(f2(x741,x742),f2(f2(x741,f1(x741)),x742))),
% 1.55/1.64 inference(scs_inference,[],[11,25,12,14,60,30,23,10,2,17,5])).
% 1.55/1.64 cnf(79,plain,
% 1.55/1.64 (P1(f2(f2(a5,a6),f1(f2(a5,a6))))),
% 1.55/1.64 inference(scs_inference,[],[11,70,25,12,14,60,66,30,23,10,2,17,5,9,3,21])).
% 1.55/1.64 cnf(85,plain,
% 1.55/1.64 (~P2(f2(f2(a4,f2(a5,a6)),x851),x852)),
% 1.55/1.64 inference(scs_inference,[],[54,21])).
% 1.55/1.64 cnf(87,plain,
% 1.55/1.64 (~P1(f2(f2(f2(a4,a5),a6),x871))),
% 1.55/1.64 inference(scs_inference,[],[54,72,21,23])).
% 1.55/1.64 cnf(89,plain,
% 1.55/1.64 (P1(a5)),
% 1.55/1.64 inference(scs_inference,[],[54,72,67,21,23,17])).
% 1.55/1.64 cnf(91,plain,
% 1.55/1.64 (P2(f2(a4,a5),f2(f2(a4,a5),f1(f2(a4,a5))))),
% 1.55/1.64 inference(scs_inference,[],[13,25,54,72,67,21,23,17,20])).
% 1.55/1.64 cnf(94,plain,
% 1.55/1.64 (P2(f2(a4,a5),f2(a4,a5))),
% 1.55/1.64 inference(scs_inference,[],[11,13,25,54,72,67,21,23,17,20,10])).
% 1.55/1.64 cnf(95,plain,
% 1.55/1.64 (E(f2(x951,f1(x951)),x951)),
% 1.55/1.64 inference(rename_variables,[],[11])).
% 1.55/1.64 cnf(96,plain,
% 1.55/1.64 (~E(f2(f2(a4,a5),a6),f2(a5,a6))),
% 1.55/1.64 inference(scs_inference,[],[11,13,25,54,72,63,67,21,23,17,20,10,2])).
% 1.55/1.64 cnf(97,plain,
% 1.55/1.64 (~P2(f2(f2(a4,f1(a4)),f2(a5,a6)),x971)),
% 1.55/1.64 inference(scs_inference,[],[11,13,25,40,54,72,26,63,67,21,23,17,20,10,2,9])).
% 1.55/1.64 cnf(99,plain,
% 1.55/1.64 (E(f2(x991,f1(x991)),f2(f3(x991),x991))),
% 1.55/1.64 inference(scs_inference,[],[11,95,13,25,71,40,54,72,26,63,67,21,23,17,20,10,2,9,3])).
% 1.55/1.64 cnf(101,plain,
% 1.55/1.64 (~E(f2(a4,a5),a5)),
% 1.55/1.64 inference(scs_inference,[],[11,95,13,25,71,40,54,72,26,63,67,21,23,17,20,10,2,9,3,5])).
% 1.55/1.64 cnf(102,plain,
% 1.55/1.64 (P1(f1(f2(a5,a6)))),
% 1.55/1.64 inference(scs_inference,[],[79,23])).
% 1.55/1.64 cnf(104,plain,
% 1.55/1.64 (P2(a4,f2(a4,f1(a4)))),
% 1.55/1.64 inference(scs_inference,[],[25,79,52,23,20])).
% 1.55/1.64 cnf(107,plain,
% 1.55/1.64 (E(f2(x1071,f2(x1072,x1073)),f2(f2(x1071,x1072),x1073))),
% 1.55/1.64 inference(scs_inference,[],[15,25,79,52,23,20,2])).
% 1.55/1.64 cnf(108,plain,
% 1.55/1.64 (~E(f2(a4,f2(a5,a6)),f2(a5,a6))),
% 1.55/1.64 inference(scs_inference,[],[15,25,79,96,52,23,20,2,3])).
% 1.55/1.64 cnf(110,plain,
% 1.55/1.64 (~E(f2(a4,a5),f2(a4,f2(a5,a6)))),
% 1.55/1.64 inference(scs_inference,[],[26,15,25,94,79,96,52,23,20,2,3,9])).
% 1.55/1.64 cnf(112,plain,
% 1.55/1.64 (E(f2(f2(f3(x1121),x1121),x1122),f2(x1121,x1122))),
% 1.55/1.64 inference(scs_inference,[],[12,26,15,25,94,79,96,52,23,20,2,3,9,5])).
% 1.55/1.64 cnf(113,plain,
% 1.55/1.64 (~P1(f3(f2(f2(a4,a5),a6)))),
% 1.55/1.64 inference(scs_inference,[],[12,26,15,25,94,79,96,52,30,23,20,2,3,9,5,18])).
% 1.55/1.64 cnf(115,plain,
% 1.55/1.64 (E(f3(f2(f3(x1151),x1151)),f3(x1151))),
% 1.55/1.64 inference(scs_inference,[],[12,26,15,25,94,79,96,52,30,23,20,2,3,9,5,18,7])).
% 1.55/1.64 cnf(116,plain,
% 1.55/1.64 (E(f3(a6),f1(a5))),
% 1.55/1.64 inference(scs_inference,[],[12,26,15,14,25,94,79,96,52,30,23,20,2,3,9,5,18,7,22])).
% 1.55/1.64 cnf(118,plain,
% 1.55/1.64 (E(f2(x1181,f2(f3(x1182),x1182)),f2(x1181,x1182))),
% 1.55/1.64 inference(scs_inference,[],[12,26,15,14,25,94,79,96,52,30,23,20,2,3,9,5,18,7,22,6])).
% 1.55/1.64 cnf(119,plain,
% 1.55/1.64 (E(f1(f2(f3(x1191),x1191)),f1(x1191))),
% 1.55/1.64 inference(scs_inference,[],[12,26,15,14,25,94,79,96,52,30,23,20,2,3,9,5,18,7,22,6,4])).
% 1.55/1.64 cnf(120,plain,
% 1.55/1.64 (P2(f2(a4,a5),f2(f3(f2(a4,a5)),f2(a4,a5)))),
% 1.55/1.64 inference(scs_inference,[],[12,26,15,14,25,99,94,91,79,96,52,30,23,20,2,3,9,5,18,7,22,6,4,10])).
% 1.55/1.64 cnf(122,plain,
% 1.55/1.64 (~E(a5,f2(a5,a6))),
% 1.55/1.64 inference(scs_inference,[],[110,6])).
% 1.55/1.64 cnf(123,plain,
% 1.55/1.64 (~P1(f2(f2(a4,f1(a4)),f2(a5,a6)))),
% 1.55/1.64 inference(scs_inference,[],[15,110,97,6,20])).
% 1.55/1.64 cnf(127,plain,
% 1.55/1.64 (~E(f2(a4,f2(a5,a6)),f2(a4,a5))),
% 1.55/1.64 inference(scs_inference,[],[15,110,97,6,20,2])).
% 1.55/1.64 cnf(130,plain,
% 1.55/1.64 (~E(a4,f3(f2(a5,a6)))),
% 1.55/1.65 inference(scs_inference,[],[12,15,110,108,97,6,20,2,3,5])).
% 1.55/1.65 cnf(131,plain,
% 1.55/1.65 (P2(f2(a4,f1(a4)),f2(a4,f1(a4)))),
% 1.55/1.65 inference(scs_inference,[],[12,15,25,110,108,97,104,6,20,2,3,5,9])).
% 1.55/1.65 cnf(132,plain,
% 1.55/1.65 (E(x1321,f2(x1321,f1(x1321)))),
% 1.55/1.65 inference(rename_variables,[],[25])).
% 1.55/1.65 cnf(133,plain,
% 1.55/1.65 (~P2(f2(a4,a5),f2(a4,f2(a5,a6)))),
% 1.55/1.65 inference(scs_inference,[],[12,15,25,110,108,97,104,6,20,2,3,5,9,19])).
% 1.55/1.65 cnf(135,plain,
% 1.55/1.65 (P1(f2(a4,f1(a4)))),
% 1.55/1.65 inference(scs_inference,[],[12,15,25,110,108,97,104,6,20,2,3,5,9,19,21])).
% 1.55/1.65 cnf(137,plain,
% 1.55/1.65 (P1(f2(f2(a4,a5),f1(f2(a4,a5))))),
% 1.55/1.65 inference(scs_inference,[],[12,13,15,25,132,110,108,97,104,6,20,2,3,5,9,19,21,8])).
% 1.55/1.65 cnf(139,plain,
% 1.55/1.65 (~E(f2(f3(f2(a4,a5)),f2(a4,a5)),f2(a4,f2(a5,a6)))),
% 1.55/1.65 inference(scs_inference,[],[12,13,15,25,132,120,110,108,97,104,6,20,2,3,5,9,19,21,8,10])).
% 1.55/1.65 cnf(142,plain,
% 1.55/1.65 (~P2(f2(f2(f2(a4,a5),a6),x1421),x1422)),
% 1.55/1.65 inference(scs_inference,[],[137,87,46,21])).
% 1.55/1.65 cnf(144,plain,
% 1.55/1.65 (E(f2(x1441,f3(a5)),f2(x1441,f1(a4)))),
% 1.55/1.65 inference(scs_inference,[],[28,137,87,46,21,6])).
% 1.55/1.65 cnf(145,plain,
% 1.55/1.65 (~E(f2(a4,a5),f2(f2(f2(a4,a5),a6),x1451))),
% 1.55/1.65 inference(scs_inference,[],[13,28,137,87,46,21,6,8])).
% 1.55/1.65 cnf(149,plain,
% 1.55/1.65 (P2(f2(a4,a5),f2(a4,f2(f1(a4),a5)))),
% 1.55/1.65 inference(scs_inference,[],[13,28,15,74,137,87,46,21,6,8,20,10])).
% 1.55/1.65 cnf(151,plain,
% 1.55/1.65 (E(f3(f2(a5,f1(a5))),f1(a4))),
% 1.55/1.65 inference(scs_inference,[],[13,28,15,38,74,137,87,46,21,6,8,20,10,3])).
% 1.55/1.65 cnf(153,plain,
% 1.55/1.65 (E(f1(a4),f3(a5))),
% 1.55/1.65 inference(scs_inference,[],[13,28,15,38,74,137,87,46,21,6,8,20,10,3,2])).
% 1.55/1.65 cnf(154,plain,
% 1.55/1.65 (~P2(f2(f2(f3(a4),a4),f2(a5,a6)),x1541)),
% 1.55/1.65 inference(scs_inference,[],[13,28,26,15,38,74,112,137,87,46,21,6,8,20,10,3,2,9])).
% 1.55/1.65 cnf(156,plain,
% 1.55/1.65 (E(f2(f3(a5),x1561),f2(f1(a4),x1561))),
% 1.55/1.65 inference(scs_inference,[],[13,28,26,15,38,74,112,137,87,46,21,6,8,20,10,3,2,9,5])).
% 1.55/1.65 cnf(157,plain,
% 1.55/1.65 (P1(f2(a4,f2(a5,f1(a5))))),
% 1.55/1.65 inference(scs_inference,[],[13,28,26,15,38,74,112,137,87,42,46,21,6,8,20,10,3,2,9,5,24])).
% 1.55/1.65 cnf(159,plain,
% 1.55/1.65 (E(f2(a4,a5),f2(a4,f2(f1(a4),a5)))),
% 1.55/1.65 inference(scs_inference,[],[149,19])).
% 1.55/1.65 cnf(161,plain,
% 1.55/1.65 (~P1(f2(f2(a4,a5),f2(a6,f1(a6))))),
% 1.55/1.65 inference(scs_inference,[],[39,149,30,19,8])).
% 1.55/1.65 cnf(163,plain,
% 1.55/1.65 (P2(a5,f2(a5,f1(a5)))),
% 1.55/1.65 inference(scs_inference,[],[25,39,149,89,30,19,8,20])).
% 1.55/1.65 cnf(166,plain,
% 1.55/1.65 (~E(f2(a5,a6),a5)),
% 1.55/1.65 inference(scs_inference,[],[25,39,127,149,89,30,19,8,20,6])).
% 1.55/1.65 cnf(168,plain,
% 1.55/1.65 (E(f3(f2(f3(a5),a5)),f1(a4))),
% 1.55/1.65 inference(scs_inference,[],[28,25,115,39,139,127,149,89,30,19,8,20,6,2,3])).
% 1.55/1.65 cnf(170,plain,
% 1.55/1.65 (~E(a4,f2(f2(a4,a5),a6))),
% 1.55/1.65 inference(scs_inference,[],[28,25,115,39,139,127,145,149,89,30,19,8,20,6,2,3,5])).
% 1.55/1.65 cnf(174,plain,
% 1.55/1.65 (~P2(f2(a4,a5),f2(f2(a4,a5),a6))),
% 1.55/1.65 inference(scs_inference,[],[28,15,25,115,39,139,127,133,145,102,149,89,30,19,8,20,6,2,3,5,24,10])).
% 1.55/1.65 cnf(176,plain,
% 1.55/1.65 (~E(f2(a4,f1(a4)),f2(a4,f2(a5,a6)))),
% 1.55/1.65 inference(scs_inference,[],[26,28,15,25,115,39,139,127,133,145,131,102,149,89,30,19,8,20,6,2,3,5,24,10,9])).
% 1.55/1.65 cnf(178,plain,
% 1.55/1.65 (~P2(f2(a4,f1(a4)),f2(a4,f2(a5,a6)))),
% 1.55/1.65 inference(scs_inference,[],[176,19])).
% 1.55/1.65 cnf(180,plain,
% 1.55/1.65 (~P2(f3(f2(f2(a4,a5),a6)),x1801)),
% 1.55/1.65 inference(scs_inference,[],[176,113,19,21])).
% 1.55/1.65 cnf(182,plain,
% 1.55/1.65 (~P1(f2(f2(a4,a5),f2(f3(a6),a6)))),
% 1.55/1.65 inference(scs_inference,[],[30,118,176,113,19,21,8])).
% 1.55/1.65 cnf(183,plain,
% 1.55/1.65 (E(f2(x1831,f2(f3(x1832),x1832)),f2(x1831,x1832))),
% 1.55/1.65 inference(rename_variables,[],[118])).
% 1.55/1.65 cnf(186,plain,
% 1.55/1.65 (E(f2(x1861,x1862),f2(x1861,f2(x1862,f1(x1862))))),
% 1.55/1.65 inference(scs_inference,[],[30,25,118,176,174,113,13,19,21,8,20,6])).
% 1.55/1.65 cnf(187,plain,
% 1.55/1.65 (P2(a5,f2(f3(a5),a5))),
% 1.55/1.65 inference(scs_inference,[],[30,25,118,176,174,113,163,99,13,19,21,8,20,6,10])).
% 1.55/1.65 cnf(189,plain,
% 1.55/1.65 (~E(f2(a4,f1(a4)),f2(f2(a4,a5),a6))),
% 1.55/1.65 inference(scs_inference,[],[30,15,25,118,176,174,113,163,99,13,19,21,8,20,6,10,3])).
% 1.55/1.65 cnf(191,plain,
% 1.55/1.65 (E(f1(x1911),f1(f2(x1911,f1(x1911))))),
% 1.55/1.65 inference(scs_inference,[],[30,15,25,41,118,176,174,113,163,99,13,19,21,8,20,6,10,3,2])).
% 1.55/1.65 cnf(194,plain,
% 1.55/1.65 (E(f2(f3(a6),x1941),f2(f1(a5),x1941))),
% 1.55/1.65 inference(scs_inference,[],[30,15,25,41,118,183,176,174,113,116,163,99,44,13,19,21,8,20,6,10,3,2,9,5])).
% 1.55/1.65 cnf(195,plain,
% 1.55/1.65 (E(f3(f3(a5)),f3(f1(a4)))),
% 1.55/1.65 inference(scs_inference,[],[30,28,15,25,41,118,183,176,174,113,116,163,99,44,13,19,21,8,20,6,10,3,2,9,5,7])).
% 1.55/1.65 cnf(196,plain,
% 1.55/1.65 (E(f3(f1(a4)),f1(a4))),
% 1.55/1.65 inference(scs_inference,[],[30,28,15,25,41,118,183,176,174,135,113,116,163,99,44,13,19,21,8,20,6,10,3,2,9,5,7,22])).
% 1.55/1.65 cnf(198,plain,
% 1.55/1.65 (E(f1(f3(a5)),f1(f1(a4)))),
% 1.55/1.65 inference(scs_inference,[],[30,28,15,25,41,118,183,176,174,135,113,116,163,99,44,13,19,21,8,20,6,10,3,2,9,5,7,22,4])).
% 1.55/1.65 cnf(199,plain,
% 1.55/1.65 (P1(f1(f2(a4,a5)))),
% 1.55/1.65 inference(scs_inference,[],[30,28,15,25,41,118,183,176,174,135,113,116,163,99,137,44,13,19,21,8,20,6,10,3,2,9,5,7,22,4,23])).
% 1.55/1.65 cnf(201,plain,
% 1.55/1.65 (~E(f3(a6),f1(f2(a4,a5)))),
% 1.55/1.65 inference(scs_inference,[],[30,28,15,25,41,118,183,176,174,135,113,116,163,99,137,44,13,19,21,8,20,6,10,3,2,9,5,7,22,4,23,24])).
% 1.55/1.65 cnf(203,plain,
% 1.55/1.65 (P1(f2(a4,f2(f3(a5),a5)))),
% 1.55/1.65 inference(scs_inference,[],[168,42,24])).
% 1.55/1.65 cnf(208,plain,
% 1.55/1.65 (~E(f1(f2(a4,a5)),f2(f2(a4,a5),a6))),
% 1.55/1.65 inference(scs_inference,[],[14,30,186,199,168,42,24,20,8])).
% 1.55/1.65 cnf(209,plain,
% 1.55/1.65 (~E(f1(a4),f2(a5,a6))),
% 1.55/1.65 inference(scs_inference,[],[14,30,186,199,168,176,42,24,20,8,6])).
% 1.55/1.65 cnf(210,plain,
% 1.55/1.65 (~E(f2(f2(a4,a5),a6),f2(a4,f1(a4)))),
% 1.55/1.65 inference(scs_inference,[],[14,30,186,189,199,168,176,42,24,20,8,6,2])).
% 1.55/1.65 cnf(211,plain,
% 1.55/1.65 (E(f3(a5),f1(f2(a4,f1(a4))))),
% 1.55/1.65 inference(scs_inference,[],[14,30,28,191,186,189,199,168,176,42,24,20,8,6,2,3])).
% 1.55/1.65 cnf(213,plain,
% 1.55/1.65 (P2(f2(a5,f1(a5)),f2(f3(a5),a5))),
% 1.55/1.65 inference(scs_inference,[],[14,30,25,28,191,186,189,199,168,187,176,42,24,20,8,6,2,3,9])).
% 1.55/1.65 cnf(215,plain,
% 1.55/1.65 (P1(f2(a5,f1(a5)))),
% 1.55/1.65 inference(scs_inference,[],[14,30,25,28,191,186,189,199,168,187,176,42,24,20,8,6,2,3,9,21])).
% 1.55/1.65 cnf(219,plain,
% 1.55/1.65 (P2(f1(a5),f2(f1(a5),f1(f1(a5))))),
% 1.55/1.65 inference(scs_inference,[],[25,161,67,21,20])).
% 1.55/1.65 cnf(222,plain,
% 1.55/1.65 (E(f2(x2221,f1(a4)),f2(x2221,f3(a5)))),
% 1.55/1.65 inference(scs_inference,[],[25,161,153,67,21,20,6])).
% 1.55/1.65 cnf(224,plain,
% 1.55/1.65 (E(f2(f2(x2241,x2242),x2243),f2(x2241,f2(x2242,x2243)))),
% 1.55/1.65 inference(rename_variables,[],[15])).
% 1.55/1.65 cnf(225,plain,
% 1.55/1.65 (~E(f2(a4,f2(a5,a6)),f2(a4,f1(a4)))),
% 1.55/1.65 inference(scs_inference,[],[15,224,25,210,182,161,153,67,21,20,6,8,3])).
% 1.55/1.65 cnf(227,plain,
% 1.55/1.65 (E(f1(a4),f2(f3(a5),f1(f3(a5))))),
% 1.55/1.65 inference(scs_inference,[],[15,224,32,25,210,182,161,153,67,21,20,6,8,3,2])).
% 1.55/1.65 cnf(228,plain,
% 1.55/1.65 (~E(f2(a5,f1(a5)),f2(a4,f2(a5,a6)))),
% 1.55/1.65 inference(scs_inference,[],[15,224,32,26,25,210,213,182,161,153,67,21,20,6,8,3,2,9])).
% 1.55/1.65 cnf(234,plain,
% 1.55/1.65 (~P1(f2(f2(f3(a4),a4),f2(a5,a6)))),
% 1.55/1.65 inference(scs_inference,[],[15,154,20])).
% 1.55/1.65 cnf(236,plain,
% 1.55/1.65 (E(f2(f2(x2361,x2362),x2363),f2(x2361,f2(x2362,x2363)))),
% 1.55/1.65 inference(rename_variables,[],[15])).
% 1.55/1.65 cnf(238,plain,
% 1.55/1.65 (P1(f2(f2(a4,f3(a5)),a5))),
% 1.55/1.65 inference(scs_inference,[],[15,107,154,203,20,8])).
% 1.55/1.65 cnf(240,plain,
% 1.55/1.65 (~E(f2(a5,a6),f1(a4))),
% 1.55/1.65 inference(scs_inference,[],[15,107,225,154,203,20,8,6])).
% 1.55/1.65 cnf(241,plain,
% 1.55/1.65 (~P2(f2(a4,f1(a4)),f2(f2(a4,a5),a6))),
% 1.55/1.65 inference(scs_inference,[],[15,236,107,225,178,154,203,20,8,6,10])).
% 1.55/1.65 cnf(242,plain,
% 1.55/1.65 (E(f2(f2(x2421,x2422),x2423),f2(x2421,f2(x2422,x2423)))),
% 1.55/1.65 inference(rename_variables,[],[15])).
% 1.55/1.65 cnf(244,plain,
% 1.55/1.65 (~E(f2(a5,f1(a5)),f2(f2(a4,a5),a6))),
% 1.55/1.65 inference(scs_inference,[],[15,236,242,107,228,225,178,154,203,20,8,6,10,2,3])).
% 1.55/1.65 cnf(246,plain,
% 1.55/1.65 (~P2(a4,f2(a4,f2(a5,a6)))),
% 1.55/1.65 inference(scs_inference,[],[15,236,242,25,107,228,225,178,154,203,20,8,6,10,2,3,9])).
% 1.55/1.65 cnf(248,plain,
% 1.55/1.65 (~P2(f2(a5,f1(a5)),f2(a4,f2(a5,a6)))),
% 1.55/1.65 inference(scs_inference,[],[15,236,242,25,107,228,225,178,154,203,20,8,6,10,2,3,9,19])).
% 1.55/1.65 cnf(261,plain,
% 1.55/1.65 (E(f2(x2611,f3(a6)),f2(x2611,f1(a5)))),
% 1.55/1.65 inference(scs_inference,[],[34,222,238,135,116,52,23,20,8,6])).
% 1.55/1.65 cnf(262,plain,
% 1.55/1.65 (P2(f2(a5,f1(a5)),f2(f1(a4),a5))),
% 1.55/1.65 inference(scs_inference,[],[34,156,222,238,135,116,52,213,23,20,8,6,10])).
% 1.55/1.65 cnf(263,plain,
% 1.55/1.65 (E(f2(f3(a5),x2631),f2(f1(a4),x2631))),
% 1.55/1.65 inference(rename_variables,[],[156])).
% 1.55/1.65 cnf(264,plain,
% 1.55/1.65 (E(f2(f3(a5),f3(a5)),f2(f1(a4),f1(a4)))),
% 1.55/1.65 inference(scs_inference,[],[34,144,156,263,222,238,135,116,52,213,23,20,8,6,10,3])).
% 1.55/1.65 cnf(265,plain,
% 1.55/1.65 (E(f2(x2651,f3(a5)),f2(x2651,f1(a4)))),
% 1.55/1.65 inference(rename_variables,[],[144])).
% 1.55/1.65 cnf(267,plain,
% 1.55/1.65 (E(f1(x2671),f1(f2(f3(x2671),x2671)))),
% 1.55/1.65 inference(scs_inference,[],[34,119,144,156,263,222,238,135,116,52,213,23,20,8,6,10,3,2])).
% 1.55/1.65 cnf(268,plain,
% 1.55/1.65 (~P2(f2(a4,f3(a5)),f2(f2(a4,a5),a6))),
% 1.55/1.65 inference(scs_inference,[],[34,119,241,144,265,156,263,222,238,135,116,52,213,23,20,8,6,10,3,2,9])).
% 1.55/1.65 cnf(270,plain,
% 1.55/1.65 (E(f3(a5),f1(f2(a4,f3(a5))))),
% 1.55/1.65 inference(scs_inference,[],[34,119,241,144,265,156,263,222,238,135,116,52,213,23,20,8,6,10,3,2,9,22])).
% 1.55/1.65 cnf(272,plain,
% 1.55/1.65 (E(f2(a5,f1(a5)),f2(f1(a4),a5))),
% 1.55/1.65 inference(scs_inference,[],[34,119,241,144,265,156,263,222,238,135,116,52,213,23,20,8,6,10,3,2,9,22,19])).
% 1.55/1.65 cnf(274,plain,
% 1.55/1.65 (E(f3(x2741),f3(f2(x2741,f1(x2741))))),
% 1.55/1.65 inference(scs_inference,[],[25,34,119,241,144,265,156,263,222,238,135,116,52,213,23,20,8,6,10,3,2,9,22,19,7])).
% 1.55/1.65 cnf(275,plain,
% 1.55/1.65 (P1(f2(a4,f3(a5)))),
% 1.55/1.65 inference(scs_inference,[],[25,34,119,241,144,265,156,263,222,238,135,116,52,213,23,20,8,6,10,3,2,9,22,19,7,17])).
% 1.55/1.65 cnf(277,plain,
% 1.55/1.65 (E(f1(f3(a6)),f1(f1(a5)))),
% 1.55/1.65 inference(scs_inference,[],[25,34,119,241,144,265,156,263,222,238,135,116,52,213,23,20,8,6,10,3,2,9,22,19,7,17,4])).
% 1.55/1.65 cnf(278,plain,
% 1.55/1.65 (~P2(f2(a5,f1(a5)),f2(f2(a4,a5),a6))),
% 1.55/1.65 inference(scs_inference,[],[244,19])).
% 1.55/1.65 cnf(282,plain,
% 1.55/1.65 (~E(f2(f1(a4),a5),f2(a4,f2(a5,a6)))),
% 1.55/1.65 inference(scs_inference,[],[248,244,275,268,262,19,20,10])).
% 1.55/1.65 cnf(284,plain,
% 1.55/1.65 (~E(f2(f2(a4,a5),a6),f2(a5,f1(a5)))),
% 1.55/1.65 inference(scs_inference,[],[248,244,101,159,275,268,262,19,20,10,3,2])).
% 1.55/1.65 cnf(289,plain,
% 1.55/1.65 (~E(a4,f2(a4,f2(a5,a6)))),
% 1.55/1.65 inference(scs_inference,[],[34,246,52,21,20])).
% 1.55/1.65 cnf(291,plain,
% 1.55/1.65 (~P2(f2(a4,a5),f2(f2(a4,a5),f2(a6,f1(a6))))),
% 1.55/1.65 inference(scs_inference,[],[34,246,39,174,52,21,20,10])).
% 1.55/1.65 cnf(294,plain,
% 1.55/1.65 (E(f2(x2941,f3(a6)),f2(x2941,f1(a5)))),
% 1.55/1.65 inference(rename_variables,[],[261])).
% 1.55/1.65 cnf(295,plain,
% 1.55/1.65 (E(f2(f1(a4),a5),f2(a5,f1(a5)))),
% 1.55/1.65 inference(scs_inference,[],[34,284,272,261,246,39,174,52,21,20,10,3,2])).
% 1.55/1.65 cnf(296,plain,
% 1.55/1.65 (~P2(f2(a5,f3(a6)),f2(f2(a4,a5),a6))),
% 1.55/1.65 inference(scs_inference,[],[34,278,284,272,261,294,246,39,174,52,21,20,10,3,2,9])).
% 1.55/1.65 cnf(303,plain,
% 1.55/1.65 (~P1(f1(f3(a5)))+P1(f2(f2(a4,f1(a4)),a5))),
% 1.55/1.65 inference(scs_inference,[],[34,278,284,272,261,294,211,246,39,174,135,52,21,20,10,3,2,9,46,24,8,17])).
% 1.55/1.65 cnf(307,plain,
% 1.55/1.65 (P2(f1(a4),f2(f3(a5),f1(f3(a5))))),
% 1.55/1.65 inference(scs_inference,[],[227,42,20])).
% 1.55/1.65 cnf(309,plain,
% 1.55/1.65 (P1(f2(f3(a5),f1(f3(a5))))),
% 1.55/1.65 inference(scs_inference,[],[227,42,20,8])).
% 1.55/1.65 cnf(310,plain,
% 1.55/1.65 (P2(f1(a4),f1(a4))),
% 1.55/1.65 inference(scs_inference,[],[32,227,42,20,8,10])).
% 1.55/1.65 cnf(311,plain,
% 1.55/1.65 (E(f3(f3(a5)),f1(a4))),
% 1.55/1.65 inference(scs_inference,[],[32,227,195,196,42,20,8,10,3])).
% 1.55/1.65 cnf(312,plain,
% 1.55/1.65 (~E(f2(f2(a4,a5),a6),a4)),
% 1.55/1.65 inference(scs_inference,[],[32,170,227,195,196,42,20,8,10,3,2])).
% 1.55/1.65 cnf(314,plain,
% 1.55/1.65 (P1(f1(f3(a5)))),
% 1.55/1.65 inference(scs_inference,[],[32,170,295,227,195,196,278,42,20,8,10,3,2,9,23])).
% 1.55/1.65 cnf(316,plain,
% 1.55/1.65 (E(f2(f1(a4),x3161),f2(f3(a5),x3161))),
% 1.55/1.65 inference(scs_inference,[],[32,170,295,227,195,196,278,153,42,20,8,10,3,2,9,23,5])).
% 1.55/1.65 cnf(317,plain,
% 1.55/1.65 (P1(f2(f2(a4,f1(a4)),a5))),
% 1.55/1.65 inference(scs_inference,[],[32,170,295,227,195,196,278,153,42,20,8,10,3,2,9,23,5,303])).
% 1.55/1.65 cnf(320,plain,
% 1.55/1.65 (P1(f3(a5))),
% 1.55/1.65 inference(scs_inference,[],[32,170,295,227,195,196,278,153,42,20,8,10,3,2,9,23,5,303,24,17])).
% 1.55/1.65 cnf(326,plain,
% 1.55/1.65 (~E(f3(a5),f3(f2(a4,f2(a5,a6))))),
% 1.55/1.65 inference(scs_inference,[],[34,317,320,40,20,8])).
% 1.55/1.65 cnf(328,plain,
% 1.55/1.65 (P2(f1(a4),f1(f2(f3(a4),a4)))),
% 1.55/1.65 inference(scs_inference,[],[28,34,267,317,310,320,40,20,8,3,10])).
% 1.55/1.65 cnf(332,plain,
% 1.55/1.65 (E(f1(a4),f3(f2(a5,f1(a5))))),
% 1.55/1.65 inference(scs_inference,[],[28,34,267,85,317,151,307,310,320,40,20,8,3,10,9,2])).
% 1.55/1.65 cnf(333,plain,
% 1.55/1.65 (E(f3(f1(a5)),f1(a5))),
% 1.55/1.65 inference(scs_inference,[],[28,34,267,85,317,151,307,310,320,40,215,20,8,3,10,9,2,22])).
% 1.55/1.65 cnf(335,plain,
% 1.55/1.65 (E(f3(x3351),f3(f2(f3(x3351),x3351)))),
% 1.55/1.65 inference(scs_inference,[],[28,34,267,85,317,151,307,310,320,40,215,71,20,8,3,10,9,2,22,7])).
% 1.55/1.65 cnf(336,plain,
% 1.55/1.65 (E(f1(f1(a4)),f1(f3(a5)))),
% 1.55/1.65 inference(scs_inference,[],[28,34,267,85,317,151,307,310,320,40,215,71,153,20,8,3,10,9,2,22,7,4])).
% 1.55/1.65 cnf(337,plain,
% 1.55/1.65 (E(f2(x3371,x3372),f2(x3371,f2(f3(x3372),x3372)))),
% 1.55/1.65 inference(scs_inference,[],[28,34,267,85,317,151,307,310,320,40,215,71,153,20,8,3,10,9,2,22,7,4,6])).
% 1.55/1.65 cnf(341,plain,
% 1.55/1.65 (P1(f1(f2(a4,f1(a4))))),
% 1.55/1.65 inference(scs_inference,[],[130,326,317,19,7,23])).
% 1.55/1.65 cnf(343,plain,
% 1.55/1.65 (~E(f2(a4,a5),f2(f2(a4,a5),f2(a6,f1(a6))))),
% 1.55/1.65 inference(scs_inference,[],[130,291,326,317,13,19,7,23,20])).
% 1.55/1.65 cnf(351,plain,
% 1.55/1.65 (E(f3(f1(a4)),f3(f3(a5)))),
% 1.55/1.65 inference(scs_inference,[],[153,7])).
% 1.55/1.65 cnf(355,plain,
% 1.55/1.65 (E(f3(f2(a6,f1(a6))),f1(a5))),
% 1.55/1.65 inference(scs_inference,[],[38,39,157,153,116,7,20,3])).
% 1.55/1.65 cnf(357,plain,
% 1.55/1.65 (P2(f1(a4),f3(f2(a5,f1(a5))))),
% 1.55/1.65 inference(scs_inference,[],[38,39,332,157,310,153,116,7,20,3,10])).
% 1.55/1.65 cnf(358,plain,
% 1.55/1.65 (P2(f2(f2(a4,a5),f1(a5)),f2(a4,a5))),
% 1.55/1.65 inference(scs_inference,[],[38,39,332,157,107,310,153,116,7,20,3,10,9])).
% 1.55/1.65 cnf(360,plain,
% 1.55/1.65 (E(f2(f1(a4),f1(f1(a4))),f3(a5))),
% 1.55/1.65 inference(scs_inference,[],[38,39,64,332,157,107,310,153,116,7,20,3,10,9,2])).
% 1.55/1.65 cnf(361,plain,
% 1.55/1.65 (P2(f2(f3(a5),f1(f3(a5))),f3(a5))),
% 1.55/1.65 inference(scs_inference,[],[38,39,64,309,332,157,107,310,153,116,7,20,3,10,9,2,46])).
% 1.55/1.65 cnf(365,plain,
% 1.55/1.65 (E(f2(f2(a4,a5),f1(a5)),f2(a4,a5))),
% 1.55/1.65 inference(scs_inference,[],[38,39,36,64,309,332,157,107,310,153,116,7,20,3,10,9,2,46,21,19])).
% 1.55/1.65 cnf(367,plain,
% 1.55/1.65 (P1(f2(a5,f2(a6,f1(a6))))),
% 1.55/1.65 inference(scs_inference,[],[38,39,36,64,309,332,157,107,310,67,153,116,7,20,3,10,9,2,46,21,19,24])).
% 1.55/1.65 cnf(369,plain,
% 1.55/1.65 (P1(f2(f2(a4,a5),f1(a5)))),
% 1.55/1.65 inference(scs_inference,[],[358,21])).
% 1.55/1.65 cnf(371,plain,
% 1.55/1.65 (~P2(f2(a5,a6),f1(a4))),
% 1.55/1.65 inference(scs_inference,[],[240,358,21,19])).
% 1.55/1.65 cnf(376,plain,
% 1.55/1.65 (P1(f3(f2(a5,f1(a5))))),
% 1.55/1.65 inference(scs_inference,[],[39,274,240,367,358,320,21,19,20,8])).
% 1.55/1.65 cnf(378,plain,
% 1.55/1.65 (P2(f1(a4),f3(a5))),
% 1.55/1.65 inference(scs_inference,[],[38,39,274,240,367,358,357,320,21,19,20,8,10])).
% 1.55/1.65 cnf(380,plain,
% 1.55/1.65 (~E(f2(f3(a5),a5),f2(a4,f2(a5,a6)))),
% 1.55/1.65 inference(scs_inference,[],[38,39,274,240,367,282,358,316,357,320,21,19,20,8,10,3])).
% 1.55/1.65 cnf(382,plain,
% 1.55/1.65 (~E(f2(f2(a4,a5),f2(a6,f1(a6))),f2(a4,a5))),
% 1.55/1.65 inference(scs_inference,[],[38,39,274,240,343,367,282,358,316,357,320,21,19,20,8,10,3,2])).
% 1.55/1.65 cnf(385,plain,
% 1.55/1.65 (E(f2(x3851,x3852),f2(f2(f3(x3851),x3851),x3852))),
% 1.55/1.65 inference(scs_inference,[],[38,39,274,240,343,367,142,282,358,316,328,357,320,71,21,19,20,8,10,3,2,9,5])).
% 1.55/1.65 cnf(386,plain,
% 1.55/1.65 (~P2(f1(f2(f2(a4,a5),a6)),x3861)),
% 1.55/1.65 inference(scs_inference,[],[72,21])).
% 1.55/1.65 cnf(389,plain,
% 1.55/1.65 (E(f2(f2(x3891,f1(x3891)),x3892),f2(x3891,x3892))),
% 1.55/1.65 inference(rename_variables,[],[40])).
% 1.55/1.65 cnf(390,plain,
% 1.55/1.65 (~P2(f2(a5,a6),f2(f3(a5),f1(f3(a5))))),
% 1.55/1.65 inference(scs_inference,[],[32,40,209,371,72,21,3,10])).
% 1.55/1.65 cnf(393,plain,
% 1.55/1.65 (E(f2(a4,a5),f2(f2(a4,a5),f1(a5)))),
% 1.55/1.65 inference(scs_inference,[],[32,40,389,209,365,371,72,21,3,10,9,2])).
% 1.55/1.65 cnf(394,plain,
% 1.55/1.65 (E(f3(f1(a5)),f1(f2(a4,a5)))),
% 1.55/1.65 inference(scs_inference,[],[32,40,389,209,365,369,371,72,21,3,10,9,2,22])).
% 1.55/1.65 cnf(401,plain,
% 1.55/1.65 (E(f2(f2(a5,f1(a5)),f1(a5)),f2(f1(a4),a5))),
% 1.55/1.65 inference(scs_inference,[],[32,40,272,309,20,3])).
% 1.55/1.65 cnf(403,plain,
% 1.55/1.65 (P2(f1(a4),f2(f1(a4),f1(f3(a5))))),
% 1.55/1.65 inference(scs_inference,[],[32,40,272,309,156,307,20,3,10])).
% 1.55/1.65 cnf(407,plain,
% 1.55/1.65 (~E(f2(a4,f2(a5,a6)),f2(f3(a5),a5))),
% 1.55/1.65 inference(scs_inference,[],[32,40,380,378,191,272,309,156,307,20,3,10,9,2])).
% 1.55/1.65 cnf(408,plain,
% 1.55/1.65 (E(f1(f2(a4,f1(a4))),f3(a5))),
% 1.55/1.65 inference(scs_inference,[],[32,40,380,378,191,272,309,156,307,20,3,10,9,2,19])).
% 1.55/1.65 cnf(410,plain,
% 1.55/1.65 (~P2(f2(a5,a6),a5)),
% 1.55/1.65 inference(scs_inference,[],[166,19])).
% 1.55/1.65 cnf(412,plain,
% 1.55/1.65 (P2(f1(f2(a4,f1(a4))),f1(a4))),
% 1.55/1.65 inference(scs_inference,[],[41,166,341,19,20])).
% 1.55/1.65 cnf(415,plain,
% 1.55/1.65 (~E(f2(f2(a4,a5),a6),f2(a4,a5))),
% 1.55/1.65 inference(scs_inference,[],[41,39,166,382,341,19,20,3])).
% 1.55/1.65 cnf(417,plain,
% 1.55/1.65 (~E(f2(a5,a6),f2(f3(a5),f1(f3(a5))))),
% 1.55/1.65 inference(scs_inference,[],[41,39,166,382,390,341,69,19,20,3,10])).
% 1.55/1.65 cnf(420,plain,
% 1.55/1.65 (E(f1(f1(a5)),f1(f3(a6)))),
% 1.55/1.65 inference(scs_inference,[],[41,39,166,382,390,277,180,341,403,69,19,20,3,10,9,2])).
% 1.55/1.65 cnf(421,plain,
% 1.55/1.65 (E(f3(f3(a6)),f3(f1(a5)))),
% 1.55/1.65 inference(scs_inference,[],[41,39,166,382,390,277,180,341,403,69,116,19,20,3,10,9,2,7])).
% 1.55/1.65 cnf(422,plain,
% 1.55/1.65 (E(f1(a4),f2(f1(a4),f1(f3(a5))))),
% 1.55/1.65 inference(scs_inference,[],[403,19])).
% 1.55/1.65 cnf(425,plain,
% 1.55/1.65 (E(f2(f2(x4251,f1(x4251)),x4252),f2(x4251,x4252))),
% 1.55/1.65 inference(rename_variables,[],[40])).
% 1.55/1.65 cnf(426,plain,
% 1.55/1.65 (~P2(f2(a5,a6),f2(a5,f1(a5)))),
% 1.55/1.65 inference(scs_inference,[],[40,122,410,403,11,19,3,10])).
% 1.55/1.66 cnf(430,plain,
% 1.55/1.66 (~E(f2(f3(a5),f1(f3(a5))),f2(a5,a6))),
% 1.55/1.66 inference(scs_inference,[],[40,425,122,417,410,403,11,19,3,10,9,2])).
% 1.55/1.66 cnf(433,plain,
% 1.55/1.66 (~P2(f2(f3(a5),f1(f3(a5))),f2(a5,a6))),
% 1.55/1.66 inference(scs_inference,[],[430,19])).
% 1.55/1.66 cnf(436,plain,
% 1.55/1.66 (E(f3(f2(x4361,f1(x4361))),f3(x4361))),
% 1.55/1.66 inference(rename_variables,[],[38])).
% 1.55/1.66 cnf(438,plain,
% 1.55/1.66 (P1(f1(f1(a4)))),
% 1.55/1.66 inference(scs_inference,[],[38,430,198,376,314,19,20,8])).
% 1.55/1.66 cnf(439,plain,
% 1.55/1.66 (E(f2(f3(x4391),f2(x4391,f1(x4391))),x4391)),
% 1.55/1.66 inference(scs_inference,[],[38,39,430,198,376,314,12,19,20,8,3])).
% 1.55/1.66 cnf(442,plain,
% 1.55/1.66 (~P2(f2(a5,a6),f2(a5,f3(a6)))),
% 1.55/1.66 inference(scs_inference,[],[38,39,426,430,198,376,314,261,12,19,20,8,3,10])).
% 1.55/1.66 cnf(444,plain,
% 1.55/1.66 (P2(f3(a5),f3(a5))),
% 1.55/1.66 inference(scs_inference,[],[38,436,39,426,430,198,376,314,261,12,19,20,8,3,10,9])).
% 1.55/1.66 cnf(446,plain,
% 1.55/1.66 (E(f2(f1(a4),a5),f2(f2(a5,f1(a5)),f1(a5)))),
% 1.55/1.66 inference(scs_inference,[],[38,436,39,426,430,198,401,376,314,261,12,19,20,8,3,10,9,2])).
% 1.55/1.66 cnf(451,plain,
% 1.55/1.66 (P2(f1(f1(a4)),f1(f3(a5)))),
% 1.55/1.66 inference(scs_inference,[],[336,438,20])).
% 1.55/1.66 cnf(454,plain,
% 1.55/1.66 (~E(f2(f2(a4,a5),f2(f3(a6),a6)),f2(a4,a5))),
% 1.55/1.66 inference(scs_inference,[],[36,42,337,415,336,438,20,8,3])).
% 1.55/1.66 cnf(456,plain,
% 1.55/1.66 (P2(f3(a5),f3(f2(f3(a5),a5)))),
% 1.55/1.66 inference(scs_inference,[],[36,42,335,337,415,336,438,444,20,8,3,10])).
% 1.55/1.66 cnf(463,plain,
% 1.55/1.66 (P1(f2(f1(a4),f1(f3(a5))))),
% 1.55/1.66 inference(scs_inference,[],[42,422,442,14,20,8])).
% 1.55/1.66 cnf(465,plain,
% 1.55/1.66 (E(f2(f2(x4651,f1(x4651)),x4652),f2(x4651,x4652))),
% 1.55/1.66 inference(rename_variables,[],[40])).
% 1.55/1.66 cnf(467,plain,
% 1.55/1.66 (E(f2(f2(x4671,f1(x4671)),x4672),f2(x4671,x4672))),
% 1.55/1.66 inference(rename_variables,[],[40])).
% 1.55/1.66 cnf(468,plain,
% 1.55/1.66 (~P2(f2(a5,a6),f2(f2(a5,f1(a5)),f3(a6)))),
% 1.55/1.66 inference(scs_inference,[],[40,465,467,42,422,442,289,248,14,20,8,3,9,10])).
% 1.55/1.66 cnf(470,plain,
% 1.55/1.66 (E(x4701,f2(f3(x4701),f2(x4701,f1(x4701))))),
% 1.55/1.66 inference(scs_inference,[],[40,465,467,42,439,422,442,289,248,14,20,8,3,9,10,2])).
% 1.55/1.66 cnf(473,plain,
% 1.55/1.66 (~E(a6,f3(a6))),
% 1.55/1.66 inference(scs_inference,[],[40,465,467,42,439,208,422,442,289,248,14,20,8,3,9,10,2,19,6])).
% 1.55/1.66 cnf(474,plain,
% 1.55/1.66 (P2(f3(a5),f1(f2(a4,f3(a5))))),
% 1.55/1.66 inference(scs_inference,[],[270,320,20])).
% 1.55/1.66 cnf(476,plain,
% 1.55/1.66 (P1(f1(f2(f3(a4),a4)))),
% 1.55/1.66 inference(scs_inference,[],[42,270,267,320,20,8])).
% 1.55/1.66 cnf(478,plain,
% 1.55/1.66 (P2(f2(a5,f1(a5)),f2(f2(a5,f1(a5)),f1(a5)))),
% 1.55/1.66 inference(scs_inference,[],[42,270,446,267,262,320,20,8,10])).
% 1.55/1.66 cnf(479,plain,
% 1.55/1.66 (P2(f3(a5),f1(a4))),
% 1.55/1.66 inference(scs_inference,[],[42,408,270,446,412,267,262,320,20,8,10,9])).
% 1.55/1.66 cnf(481,plain,
% 1.55/1.66 (E(f2(f2(x4811,f1(x4811)),f3(a5)),f2(x4811,f1(a4)))),
% 1.55/1.66 inference(scs_inference,[],[40,42,408,454,270,446,412,267,144,262,320,20,8,10,9,2,3])).
% 1.55/1.66 cnf(484,plain,
% 1.55/1.66 (P1(f2(f3(a4),a4))),
% 1.55/1.66 inference(scs_inference,[],[40,42,408,454,270,446,412,267,144,262,320,20,8,10,9,2,3,17])).
% 1.55/1.66 cnf(486,plain,
% 1.55/1.66 (P1(f1(f3(a4)))),
% 1.55/1.66 inference(scs_inference,[],[484,23])).
% 1.55/1.66 cnf(488,plain,
% 1.55/1.66 (P2(a5,f2(f3(a5),f2(a5,f1(a5))))),
% 1.55/1.66 inference(scs_inference,[],[470,484,89,23,20])).
% 1.55/1.66 cnf(493,plain,
% 1.55/1.66 (~E(f2(f2(a5,f1(a5)),f1(a5)),f2(f2(a4,a5),a6))),
% 1.55/1.66 inference(scs_inference,[],[42,470,484,394,478,234,201,278,89,23,20,8,3,10])).
% 1.55/1.66 cnf(496,plain,
% 1.55/1.66 (E(f1(f2(a4,a5)),f3(f1(a5)))),
% 1.55/1.66 inference(scs_inference,[],[44,42,470,484,394,478,234,451,201,278,89,23,20,8,3,10,9,2])).
% 1.55/1.66 cnf(497,plain,
% 1.55/1.66 (E(f3(a4),f1(f3(a4)))),
% 1.55/1.66 inference(scs_inference,[],[44,42,470,484,394,478,234,451,201,278,89,23,20,8,3,10,9,2,22])).
% 1.55/1.66 cnf(499,plain,
% 1.55/1.66 (~E(a6,f1(a5))),
% 1.55/1.66 inference(scs_inference,[],[44,42,470,484,394,478,234,451,201,278,89,23,20,8,3,10,9,2,22,7])).
% 1.55/1.66 cnf(503,plain,
% 1.55/1.66 (E(f2(x5031,x5032),f2(f2(f3(x5031),x5031),x5032))),
% 1.55/1.66 inference(rename_variables,[],[385])).
% 1.55/1.66 cnf(504,plain,
% 1.55/1.66 (~E(f2(f2(f3(a4),a4),f2(a5,a6)),f2(f3(a5),a5))),
% 1.55/1.66 inference(scs_inference,[],[385,503,407,468,369,14,20,8,3])).
% 1.55/1.66 cnf(506,plain,
% 1.55/1.66 (~P2(f2(a5,a6),f1(f2(a4,f1(a4))))),
% 1.55/1.66 inference(scs_inference,[],[41,385,503,407,468,369,371,14,20,8,3,10])).
% 1.55/1.66 cnf(508,plain,
% 1.55/1.66 (~P2(f2(a5,f2(a6,f1(a6))),f1(a4))),
% 1.55/1.66 inference(scs_inference,[],[39,41,385,503,407,468,369,371,14,20,8,3,10,9])).
% 1.55/1.66 cnf(511,plain,
% 1.55/1.66 (P2(f2(a4,a5),f2(f2(a4,a5),f1(a5)))),
% 1.55/1.66 inference(scs_inference,[],[393,13,20])).
% 1.55/1.66 cnf(513,plain,
% 1.55/1.66 (P1(f3(f1(a5)))),
% 1.55/1.66 inference(scs_inference,[],[393,496,199,13,20,8])).
% 1.55/1.66 cnf(514,plain,
% 1.55/1.66 (E(f3(f3(a6)),f1(a5))),
% 1.55/1.66 inference(scs_inference,[],[421,393,496,333,199,13,20,8,3])).
% 1.55/1.66 cnf(519,plain,
% 1.55/1.66 (E(f3(f1(a5)),f3(f3(a6)))),
% 1.55/1.66 inference(scs_inference,[],[421,393,481,496,488,333,439,241,199,13,20,8,3,10,9,2])).
% 1.55/1.66 cnf(520,plain,
% 1.55/1.66 (P1(f2(a5,f3(a6)))),
% 1.55/1.66 inference(scs_inference,[],[421,393,481,496,488,333,439,241,199,67,13,20,8,3,10,9,2,24])).
% 1.55/1.66 cnf(528,plain,
% 1.55/1.66 (~E(f3(f2(a5,a6)),f3(f3(a5)))),
% 1.55/1.66 inference(scs_inference,[],[49,42,311,520,123,296,20,8,3])).
% 1.55/1.66 cnf(529,plain,
% 1.55/1.66 (~E(f2(f2(a4,a5),f1(a5)),f2(a4,f2(a5,a6)))),
% 1.55/1.66 inference(scs_inference,[],[49,42,511,311,520,123,133,296,20,8,3,10])).
% 1.55/1.66 cnf(532,plain,
% 1.55/1.66 (~E(f2(f3(a5),a5),f2(f2(f3(a4),a4),f2(a5,a6)))),
% 1.55/1.66 inference(scs_inference,[],[49,44,42,511,504,311,520,123,456,133,296,20,8,3,10,9,2])).
% 1.55/1.66 cnf(533,plain,
% 1.55/1.66 (P1(f3(a4))),
% 1.55/1.66 inference(scs_inference,[],[49,44,42,511,504,311,520,123,486,456,133,296,20,8,3,10,9,2,17])).
% 1.55/1.66 cnf(535,plain,
% 1.55/1.66 (~E(f2(a5,a6),f1(f2(a4,f1(a4))))),
% 1.55/1.66 inference(scs_inference,[],[506,14,20])).
% 1.55/1.66 cnf(538,plain,
% 1.55/1.66 (E(x5381,f2(f3(x5381),f2(x5381,f1(x5381))))),
% 1.55/1.66 inference(rename_variables,[],[470])).
% 1.55/1.66 cnf(542,plain,
% 1.55/1.66 (E(f2(x5421,f2(f3(x5422),x5422)),f2(x5421,x5422))),
% 1.55/1.66 inference(rename_variables,[],[118])).
% 1.55/1.66 cnf(545,plain,
% 1.55/1.66 (E(f2(f1(a5),x5451),f2(f3(a6),x5451))),
% 1.55/1.66 inference(scs_inference,[],[52,506,473,194,470,538,118,542,174,410,14,20,8,3,9,10,2])).
% 1.55/1.66 cnf(546,plain,
% 1.55/1.66 (~E(f2(a5,a6),f3(a5))),
% 1.55/1.66 inference(scs_inference,[],[52,506,473,194,528,470,538,118,542,174,410,14,20,8,3,9,10,2,7])).
% 1.55/1.66 cnf(549,plain,
% 1.55/1.66 (P1(f3(f3(a6)))),
% 1.55/1.66 inference(scs_inference,[],[497,513,519,533,20,8])).
% 1.55/1.66 cnf(552,plain,
% 1.55/1.66 (E(f2(f1(a5),x5521),f2(f3(a6),x5521))),
% 1.55/1.66 inference(rename_variables,[],[545])).
% 1.55/1.66 cnf(553,plain,
% 1.55/1.66 (P2(f1(a5),f2(f3(a6),f1(f1(a5))))),
% 1.55/1.66 inference(scs_inference,[],[545,552,497,513,519,533,222,219,20,8,3,10])).
% 1.55/1.66 cnf(555,plain,
% 1.55/1.66 (P2(f1(f3(a4)),f1(f3(a4)))),
% 1.55/1.66 inference(scs_inference,[],[545,552,497,513,519,533,222,219,20,8,3,10,9])).
% 1.55/1.66 cnf(556,plain,
% 1.55/1.66 (~E(f2(a4,f2(a5,a6)),f2(f2(a4,a5),f1(a5)))),
% 1.55/1.66 inference(scs_inference,[],[529,545,552,497,513,519,533,222,219,20,8,3,10,9,2])).
% 1.55/1.66 cnf(557,plain,
% 1.55/1.66 (P1(f3(a6))),
% 1.55/1.66 inference(scs_inference,[],[529,545,552,497,513,519,533,222,219,20,8,3,10,9,2,18])).
% 1.55/1.66 cnf(559,plain,
% 1.55/1.66 (E(f1(a5),f2(f3(a6),f1(f1(a5))))),
% 1.55/1.66 inference(scs_inference,[],[553,19])).
% 1.55/1.66 cnf(569,plain,
% 1.55/1.66 (E(f1(a5),f3(f3(a6)))),
% 1.55/1.66 inference(scs_inference,[],[42,44,351,476,514,555,553,479,119,332,182,528,19,20,8,3,9,10,2])).
% 1.55/1.66 cnf(570,plain,
% 1.55/1.66 (~P2(f2(f3(a5),a5),f2(f2(f3(a4),a4),f2(a5,a6)))),
% 1.55/1.66 inference(scs_inference,[],[532,19])).
% 1.55/1.66 cnf(574,plain,
% 1.55/1.66 (P1(f3(f2(a6,f1(a6))))),
% 1.55/1.66 inference(scs_inference,[],[532,508,557,274,367,19,20,8])).
% 1.55/1.66 cnf(576,plain,
% 1.55/1.66 (~E(f2(f2(a4,f1(a4)),f2(a5,a6)),f2(f2(a4,a5),f1(a5)))),
% 1.55/1.66 inference(scs_inference,[],[556,532,508,557,274,74,367,19,20,8,3])).
% 1.55/1.66 cnf(578,plain,
% 1.55/1.66 (~P2(f2(f1(a4),f1(f3(a5))),f2(a5,a6))),
% 1.55/1.66 inference(scs_inference,[],[433,556,532,508,557,274,74,367,316,19,20,8,3,9])).
% 1.55/1.66 cnf(580,plain,
% 1.55/1.66 (~P2(f2(a5,a6),f2(f1(a4),a5))),
% 1.55/1.66 inference(scs_inference,[],[433,556,532,508,557,274,74,426,367,295,316,19,20,8,3,9,10])).
% 1.55/1.66 cnf(581,plain,
% 1.55/1.66 (~E(f1(f2(a4,f1(a4))),f2(a5,a6))),
% 1.55/1.66 inference(scs_inference,[],[433,556,532,535,508,557,274,74,426,367,295,316,19,20,8,3,9,10,2])).
% 1.55/1.66 cnf(582,plain,
% 1.55/1.66 (P2(f1(a5),f3(f3(a6)))),
% 1.55/1.66 inference(scs_inference,[],[569,67,20])).
% 1.55/1.66 cnf(585,plain,
% 1.55/1.66 (E(f2(f3(a5),f1(f1(a4))),f3(a5))),
% 1.55/1.66 inference(scs_inference,[],[569,360,559,156,67,20,8,3])).
% 1.55/1.66 cnf(587,plain,
% 1.55/1.66 (P2(f1(f3(a5)),f1(f3(a5)))),
% 1.55/1.66 inference(scs_inference,[],[569,360,559,336,451,156,67,20,8,3,9])).
% 1.55/1.66 cnf(590,plain,
% 1.55/1.66 (P1(f1(f3(a6)))),
% 1.55/1.66 inference(scs_inference,[],[569,264,360,559,336,198,451,156,67,20,8,3,9,10,2,23])).
% 1.55/1.66 cnf(600,plain,
% 1.55/1.66 (~E(f3(a5),f2(a5,a6))),
% 1.55/1.66 inference(scs_inference,[],[44,54,52,574,546,587,585,355,361,433,20,8,3,9,10])).
% 1.55/1.66 cnf(601,plain,
% 1.55/1.66 (~E(f2(f2(a4,a5),f1(a5)),f2(f2(a4,f1(a4)),f2(a5,a6)))),
% 1.55/1.66 inference(scs_inference,[],[44,54,52,576,574,546,587,585,355,361,433,20,8,3,9,10,2])).
% 1.55/1.66 cnf(602,plain,
% 1.55/1.66 (P1(f2(a6,f1(a6)))),
% 1.55/1.66 inference(scs_inference,[],[44,54,52,576,574,546,587,585,355,361,433,20,8,3,9,10,2,18])).
% 1.55/1.66 cnf(604,plain,
% 1.55/1.66 (E(f3(f1(a6)),f1(a6))),
% 1.55/1.66 inference(scs_inference,[],[44,54,52,576,574,546,587,585,355,361,433,20,8,3,9,10,2,18,22])).
% 1.55/1.66 cnf(610,plain,
% 1.55/1.66 (P1(f1(f1(a5)))),
% 1.55/1.66 inference(scs_inference,[],[578,463,590,277,20,8])).
% 1.55/1.66 cnf(613,plain,
% 1.55/1.66 (~P2(f2(a5,f1(a5)),f2(f2(f3(a4),a4),f2(a5,a6)))),
% 1.55/1.66 inference(scs_inference,[],[570,578,499,463,590,277,99,470,20,8,3,9])).
% 1.55/1.66 cnf(620,plain,
% 1.55/1.66 (P1(f2(a4,f2(f1(a4),a5)))),
% 1.55/1.66 inference(scs_inference,[],[420,610,159,13,20,8])).
% 1.55/1.66 cnf(621,plain,
% 1.55/1.66 (E(f1(a4),f3(f2(f3(a5),a5)))),
% 1.55/1.66 inference(scs_inference,[],[420,610,335,159,153,13,20,8,3])).
% 1.55/1.66 cnf(633,plain,
% 1.55/1.66 (E(f1(a6),f3(f1(a6)))),
% 1.55/1.66 inference(scs_inference,[],[52,386,549,474,582,604,66,365,514,113,20,8,3,9,10,2])).
% 1.55/1.66 cnf(634,plain,
% 1.55/1.66 (P1(f1(a6))),
% 1.55/1.66 inference(scs_inference,[],[52,602,386,549,474,582,604,66,365,514,113,20,8,3,9,10,2,23])).
% 1.55/1.66 cnf(636,plain,
% 1.55/1.66 (~P2(f2(f2(a4,a5),f1(a5)),f2(f2(a4,f1(a4)),f2(a5,a6)))),
% 1.55/1.66 inference(scs_inference,[],[52,602,601,386,549,474,582,604,66,365,514,113,20,8,3,9,10,2,23,19])).
% 1.55/1.66 cnf(645,plain,
% 1.55/1.66 (~P2(f2(a4,a5),f2(f2(a4,f1(a4)),f2(a5,a6)))),
% 1.55/1.66 inference(scs_inference,[],[636,613,580,600,633,634,270,393,401,215,20,8,3,10,9])).
% 1.55/1.66 cnf(647,plain,
% 1.55/1.66 (E(f3(f2(f1(a4),a5)),f1(a4))),
% 1.55/1.66 inference(scs_inference,[],[636,613,580,493,600,620,633,634,270,393,401,215,20,8,3,10,9,2,22])).
% 1.55/1.66 cnf(652,plain,
% 1.55/1.66 (E(f1(f2(a4,a5)),f3(f3(a6)))),
% 1.55/1.66 inference(scs_inference,[],[621,519,496,42,20,8,3])).
% 1.55/1.66 cnf(655,plain,
% 1.55/1.66 (E(f1(a4),f3(f2(f1(a4),a5)))),
% 1.55/1.66 inference(scs_inference,[],[57,647,621,311,519,496,378,42,20,8,3,9,10,2])).
% 1.55/1.66 cnf(656,plain,
% 1.55/1.66 (P1(f2(f3(a5),a5))),
% 1.55/1.66 inference(scs_inference,[],[57,647,621,311,519,496,378,42,20,8,3,9,10,2,18])).
% 1.55/1.66 cnf(669,plain,
% 1.55/1.66 (E(f2(x6691,x6692),f2(x6691,f2(x6692,f1(x6692))))),
% 1.55/1.66 inference(rename_variables,[],[186])).
% 1.55/1.66 cnf(675,plain,
% 1.55/1.66 (E(f3(f3(a6)),f1(f2(a4,a5)))),
% 1.55/1.66 inference(scs_inference,[],[656,645,652,312,186,669,422,578,439,410,13,20,8,3,9,10,2])).
% 1.55/1.66 cnf(682,plain,
% 1.55/1.66 (P1(f3(f2(f1(a4),a5)))),
% 1.55/1.66 inference(scs_inference,[],[675,655,549,42,20,8])).
% 1.55/1.66 cnf(683,plain,
% 1.55/1.66 (E(f1(a5),f1(f2(a4,a5)))),
% 1.55/1.66 inference(scs_inference,[],[675,655,569,549,42,20,8,3])).
% 1.55/1.66 cnf(698,plain,
% 1.55/1.66 ($false),
% 1.55/1.66 inference(scs_inference,[],[581,682,683,647,201,116,19,20,3]),
% 1.55/1.66 ['proof']).
% 1.55/1.66 % SZS output end Proof
% 1.55/1.66 % Total time :1.010000s
%------------------------------------------------------------------------------