TSTP Solution File: LCL452+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL452+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:49:24 EDT 2023
% Result : Theorem 3.89s 3.98s
% Output : CNFRefutation 3.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LCL452+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.36 % Computer : n022.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 25 07:15:26 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.59 start to proof:theBenchmark
% 3.89/3.97 %-------------------------------------------
% 3.89/3.97 % File :CSE---1.6
% 3.89/3.97 % Problem :theBenchmark
% 3.89/3.97 % Transform :cnf
% 3.89/3.97 % Format :tptp:raw
% 3.89/3.97 % Command :java -jar mcs_scs.jar %d %s
% 3.89/3.97
% 3.89/3.97 % Result :Theorem 3.320000s
% 3.89/3.97 % Output :CNFRefutation 3.320000s
% 3.89/3.97 %-------------------------------------------
% 3.89/3.98 %------------------------------------------------------------------------------
% 3.89/3.98 % File : LCL452+1 : TPTP v8.1.2. Released v3.3.0.
% 3.89/3.98 % Domain : Logic Calculi (Propositional)
% 3.89/3.98 % Problem : Prove Lukasiewicz's cn2 axiom from Hilbert's axiomatization
% 3.89/3.98 % Version : [HB34] axioms.
% 3.89/3.98 % English :
% 3.89/3.98
% 3.89/3.98 % Refs : [HB34] Hilbert & Bernays (1934), Grundlagen der Mathematick
% 3.89/3.98 % : [Hal] Halleck (URL), John Halleck's Logic Systems
% 3.89/3.98 % Source : [TPTP]
% 3.89/3.98 % Names :
% 3.89/3.98
% 3.89/3.98 % Status : Theorem
% 3.89/3.98 % Rating : 0.17 v8.1.0, 0.19 v7.5.0, 0.22 v7.4.0, 0.17 v7.3.0, 0.14 v7.1.0, 0.17 v7.0.0, 0.20 v6.4.0, 0.23 v6.3.0, 0.21 v6.2.0, 0.16 v6.1.0, 0.20 v6.0.0, 0.26 v5.5.0, 0.33 v5.4.0, 0.29 v5.3.0, 0.41 v5.2.0, 0.25 v5.1.0, 0.24 v5.0.0, 0.21 v4.1.0, 0.22 v4.0.0, 0.21 v3.7.0, 0.15 v3.5.0, 0.16 v3.4.0, 0.21 v3.3.0
% 3.89/3.98 % Syntax : Number of formulae : 53 ( 22 unt; 0 def)
% 3.89/3.98 % Number of atoms : 87 ( 6 equ)
% 3.89/3.98 % Maximal formula atoms : 4 ( 1 avg)
% 3.89/3.98 % Number of connectives : 34 ( 0 ~; 0 |; 1 &)
% 3.89/3.98 % ( 26 <=>; 7 =>; 0 <=; 0 <~>)
% 3.89/3.98 % Maximal formula depth : 6 ( 3 avg)
% 3.89/3.98 % Maximal term depth : 5 ( 2 avg)
% 3.89/3.98 % Number of predicates : 34 ( 33 usr; 32 prp; 0-2 aty)
% 3.89/3.98 % Number of functors : 5 ( 5 usr; 0 con; 1-2 aty)
% 3.89/3.98 % Number of variables : 65 ( 65 !; 0 ?)
% 3.89/3.98 % SPC : FOF_THM_RFO_SEQ
% 3.89/3.98
% 3.89/3.98 % Comments :
% 3.89/3.98 %------------------------------------------------------------------------------
% 3.89/3.98 %----Include axioms of propositional logic
% 3.89/3.98 include('Axioms/LCL006+0.ax').
% 3.89/3.98 include('Axioms/LCL006+1.ax').
% 3.89/3.98 %----Include Hilbert's axiomatization of propositional logic
% 3.89/3.98 include('Axioms/LCL006+2.ax').
% 3.89/3.98 %------------------------------------------------------------------------------
% 3.89/3.98 %----Operator definitions to reduce everything to and & not
% 3.89/3.98 fof(luka_op_or,axiom,
% 3.89/3.98 op_or ).
% 3.89/3.98
% 3.89/3.98 fof(luka_op_implies,axiom,
% 3.89/3.98 op_implies ).
% 3.89/3.98
% 3.89/3.98 fof(luka_op_equiv,axiom,
% 3.89/3.98 op_equiv ).
% 3.89/3.98
% 3.89/3.98 fof(luka_cn2,conjecture,
% 3.89/3.98 cn2 ).
% 3.89/3.98
% 3.89/3.98 %------------------------------------------------------------------------------
% 3.89/3.98 %-------------------------------------------
% 3.89/3.98 % Proof found
% 3.89/3.98 % SZS status Theorem for theBenchmark
% 3.89/3.98 % SZS output start Proof
% 3.89/3.98 %ClaNum:127(EqnAxiom:45)
% 3.89/3.98 %VarNum:128(SingletonVarNum:63)
% 3.89/3.98 %MaxLitNum:4
% 3.89/3.98 %MaxfuncDepth:4
% 3.89/3.98 %SharedTerms:229
% 3.89/3.98 %goalClause: 67
% 3.89/3.98 %singleGoalClaCount:1
% 3.89/3.98 [46]P1(a500)
% 3.89/3.98 [47]P18(a500)
% 3.89/3.98 [48]P19(a500)
% 3.89/3.98 [49]P2(a500)
% 3.89/3.98 [50]P12(a500)
% 3.89/3.98 [51]P13(a500)
% 3.89/3.98 [52]P3(a500)
% 3.89/3.98 [53]P4(a500)
% 3.89/3.98 [54]P5(a500)
% 3.89/3.98 [55]P20(a500)
% 3.89/3.98 [56]P27(a500)
% 3.89/3.98 [57]P28(a500)
% 3.89/3.98 [58]P6(a500)
% 3.89/3.98 [59]P10(a500)
% 3.89/3.98 [60]P11(a500)
% 3.89/3.98 [62]P21(a500)
% 3.89/3.98 [63]P22(a500)
% 3.89/3.98 [65]P23(a500)
% 3.89/3.98 [66]P25(a500)
% 3.89/3.98 [67]~P7(a500)
% 3.89/3.98 [92]P15(a500)+~P14(f47(a27,f5(a27,a27)))
% 3.89/3.98 [93]P29(a500)+~P14(f47(a37,f60(a38,a37)))
% 3.89/3.98 [96]P16(a500)+~P14(f47(f5(a31,a32),a31))
% 3.89/3.98 [97]P30(a500)+~P14(f47(f60(a39,a39),a39))
% 3.89/3.98 [107]P31(a500)+~P14(f47(f60(a45,a46),f60(a46,a45)))
% 3.89/3.98 [100]P7(a500)+~P14(f47(a40,f47(f59(a40),a43)))
% 3.89/3.98 [101]P9(a500)+~P14(f47(f47(f59(a44),a44),a44))
% 3.89/3.98 [121]P8(a500)+~P14(f47(f47(a33,a41),f47(f47(a41,a42),f47(a33,a42))))
% 3.89/3.98 [122]P32(a500)+~P14(f47(f47(a51,a56),f47(f60(a52,a51),f60(a52,a56))))
% 3.89/3.98 [123]P33(a500)+~P14(f47(f60(a53,f60(a54,a55)),f60(a54,f60(a53,a55))))
% 3.89/3.98 [127]P17(a500)+~P14(f47(f47(a34,a35),f47(f59(f5(a35,a36)),f59(f5(a36,a34)))))
% 3.89/3.98 [81]~P15(a500)+P14(f47(x811,f5(x811,x811)))
% 3.89/3.98 [88]~P30(a500)+P14(f47(f60(x881,x881),x881))
% 3.89/3.98 [99]~P9(a500)+P14(f47(f47(f59(x991),x991),x991))
% 3.89/3.98 [73]E(f60(f59(x731),x732),f47(x731,x732))+~P26(a500)
% 3.89/3.98 [79]E(f5(f47(x791,x792),f47(x792,x791)),f4(x791,x792))+~P23(a500)
% 3.89/3.98 [80]~P2(a500)+P14(f47(x801,f47(x802,x801)))
% 3.89/3.98 [82]~P27(a500)+P14(f47(x821,f60(x822,x821)))
% 3.89/3.98 [83]~P29(a500)+P14(f47(x831,f60(x832,x831)))
% 3.89/3.98 [84]~P20(a500)+P14(f47(x841,f60(x841,x842)))
% 3.89/3.98 [85]~P4(a500)+P14(f47(f5(x851,x852),x852))
% 3.89/3.98 [86]~P3(a500)+P14(f47(f5(x861,x862),x861))
% 3.89/3.98 [87]~P16(a500)+P14(f47(f5(x871,x872),x871))
% 3.89/3.98 [102]~P10(a500)+P14(f47(f4(x1021,x1022),f47(x1022,x1021)))
% 3.89/3.98 [103]~P6(a500)+P14(f47(f4(x1031,x1032),f47(x1031,x1032)))
% 3.89/3.98 [104]~P31(a500)+P14(f47(f60(x1041,x1042),f60(x1042,x1041)))
% 3.89/3.98 [108]~P19(a500)+P14(f47(f47(f59(x1081),f59(x1082)),f47(x1082,x1081)))
% 3.89/3.98 [111]~P12(a500)+P14(f47(f47(x1111,f47(x1111,x1112)),f47(x1111,x1112)))
% 3.89/3.98 [75]~P22(a500)+E(f59(f5(x751,f59(x752))),f47(x751,x752))
% 3.89/3.98 [77]~P24(a500)+E(f59(f60(f59(x771),f59(x772))),f5(x771,x772))
% 3.89/3.98 [78]~P21(a500)+E(f59(f5(f59(x781),f59(x782))),f60(x781,x782))
% 3.89/3.98 [109]~P5(a500)+P14(f47(x1091,f47(x1092,f5(x1091,x1092))))
% 3.89/3.98 [116]~P11(a500)+P14(f47(f47(x1161,x1162),f47(f47(x1162,x1161),f4(x1161,x1162))))
% 3.89/3.98 [114]~P13(a500)+P14(f47(f47(x1141,x1142),f47(f47(x1142,x1143),f47(x1141,x1143))))
% 3.89/3.98 [115]~P8(a500)+P14(f47(f47(x1151,x1152),f47(f47(x1152,x1153),f47(x1151,x1153))))
% 3.89/3.98 [117]~P32(a500)+P14(f47(f47(x1171,x1172),f47(f60(x1173,x1171),f60(x1173,x1172))))
% 3.89/3.98 [118]~P33(a500)+P14(f47(f60(x1181,f60(x1182,x1183)),f60(x1182,f60(x1181,x1183))))
% 3.89/3.98 [124]~P28(a500)+P14(f47(f47(x1241,x1242),f47(f47(x1243,x1242),f47(f60(x1241,x1243),x1242))))
% 3.89/3.98 [125]~P17(a500)+P14(f47(f47(x1251,x1252),f47(f59(f5(x1252,x1253)),f59(f5(x1253,x1251)))))
% 3.89/3.98 [74]E(x741,x742)+~P18(a500)+~P14(f4(x741,x742))
% 3.89/3.98 [76]P14(x761)+~P14(x762)+~P1(a500)+~P14(f47(x762,x761))
% 3.89/3.98 %EqnAxiom
% 3.89/3.98 [1]E(x11,x11)
% 3.89/3.98 [2]E(x22,x21)+~E(x21,x22)
% 3.89/3.98 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 3.89/3.98 [4]~E(x41,x42)+E(f47(x41,x43),f47(x42,x43))
% 3.89/3.98 [5]~E(x51,x52)+E(f47(x53,x51),f47(x53,x52))
% 3.89/3.98 [6]~E(x61,x62)+E(f4(x61,x63),f4(x62,x63))
% 3.89/3.98 [7]~E(x71,x72)+E(f4(x73,x71),f4(x73,x72))
% 3.89/3.98 [8]~E(x81,x82)+E(f59(x81),f59(x82))
% 3.89/3.98 [9]~E(x91,x92)+E(f60(x91,x93),f60(x92,x93))
% 3.89/3.98 [10]~E(x101,x102)+E(f60(x103,x101),f60(x103,x102))
% 3.89/3.98 [11]~E(x111,x112)+E(f5(x111,x113),f5(x112,x113))
% 3.89/3.98 [12]~E(x121,x122)+E(f5(x123,x121),f5(x123,x122))
% 3.89/3.98 [13]~P1(x131)+P1(x132)+~E(x131,x132)
% 3.89/3.98 [14]~P18(x141)+P18(x142)+~E(x141,x142)
% 3.89/3.98 [15]~P19(x151)+P19(x152)+~E(x151,x152)
% 3.89/3.98 [16]~P2(x161)+P2(x162)+~E(x161,x162)
% 3.89/3.98 [17]~P12(x171)+P12(x172)+~E(x171,x172)
% 3.89/3.98 [18]~P13(x181)+P13(x182)+~E(x181,x182)
% 3.89/3.98 [19]~P3(x191)+P3(x192)+~E(x191,x192)
% 3.89/3.98 [20]~P4(x201)+P4(x202)+~E(x201,x202)
% 3.89/3.98 [21]~P5(x211)+P5(x212)+~E(x211,x212)
% 3.89/3.98 [22]~P20(x221)+P20(x222)+~E(x221,x222)
% 3.89/3.98 [23]~P27(x231)+P27(x232)+~E(x231,x232)
% 3.89/3.98 [24]~P28(x241)+P28(x242)+~E(x241,x242)
% 3.89/3.98 [25]~P6(x251)+P6(x252)+~E(x251,x252)
% 3.89/3.98 [26]~P10(x261)+P10(x262)+~E(x261,x262)
% 3.89/3.98 [27]~P11(x271)+P11(x272)+~E(x271,x272)
% 3.89/3.98 [28]~P21(x281)+P21(x282)+~E(x281,x282)
% 3.89/3.98 [29]~P14(x291)+P14(x292)+~E(x291,x292)
% 3.89/3.98 [30]~P22(x301)+P22(x302)+~E(x301,x302)
% 3.89/3.98 [31]~P23(x311)+P23(x312)+~E(x311,x312)
% 3.89/3.98 [32]~P32(x321)+P32(x322)+~E(x321,x322)
% 3.89/3.98 [33]~P25(x331)+P25(x332)+~E(x331,x332)
% 3.89/3.98 [34]~P7(x341)+P7(x342)+~E(x341,x342)
% 3.89/3.98 [35]~P17(x351)+P17(x352)+~E(x351,x352)
% 3.89/3.98 [36]~P31(x361)+P31(x362)+~E(x361,x362)
% 3.89/3.98 [37]~P16(x371)+P16(x372)+~E(x371,x372)
% 3.89/3.98 [38]~P15(x381)+P15(x382)+~E(x381,x382)
% 3.89/3.98 [39]~P9(x391)+P9(x392)+~E(x391,x392)
% 3.89/3.99 [40]~P33(x401)+P33(x402)+~E(x401,x402)
% 3.89/3.99 [41]~P8(x411)+P8(x412)+~E(x411,x412)
% 3.89/3.99 [42]~P30(x421)+P30(x422)+~E(x421,x422)
% 3.89/3.99 [43]~P29(x431)+P29(x432)+~E(x431,x432)
% 3.89/3.99 [44]~P26(x441)+P26(x442)+~E(x441,x442)
% 3.89/3.99 [45]~P24(x451)+P24(x452)+~E(x451,x452)
% 3.89/3.99
% 3.89/3.99 %-------------------------------------------
% 3.89/3.99 cnf(128,plain,
% 3.89/3.99 (~P14(f47(a40,f47(f59(a40),a43)))),
% 3.89/3.99 inference(scs_inference,[],[67,100])).
% 3.89/3.99 cnf(129,plain,
% 3.89/3.99 (P14(f47(f5(x1291,x1292),x1291))),
% 3.89/3.99 inference(scs_inference,[],[67,52,100,86])).
% 3.89/3.99 cnf(130,plain,
% 3.89/3.99 (P14(f47(f5(x1301,x1302),x1302))),
% 3.89/3.99 inference(scs_inference,[],[67,52,53,100,86,85])).
% 3.89/3.99 cnf(131,plain,
% 3.89/3.99 (P14(f47(x1311,f60(x1311,x1312)))),
% 3.89/3.99 inference(scs_inference,[],[67,52,53,55,100,86,85,84])).
% 3.89/3.99 cnf(132,plain,
% 3.89/3.99 (P14(f47(x1321,f60(x1322,x1321)))),
% 3.89/3.99 inference(scs_inference,[],[67,52,53,55,56,100,86,85,84,82])).
% 3.89/3.99 cnf(133,plain,
% 3.89/3.99 (P14(f47(x1331,f47(x1332,x1331)))),
% 3.89/3.99 inference(scs_inference,[],[67,49,52,53,55,56,100,86,85,84,82,80])).
% 3.89/3.99 cnf(134,plain,
% 3.89/3.99 (P14(f47(x1341,f47(x1342,f5(x1341,x1342))))),
% 3.89/3.99 inference(scs_inference,[],[67,49,52,53,54,55,56,100,86,85,84,82,80,109])).
% 3.89/3.99 cnf(135,plain,
% 3.89/3.99 (P14(f47(f4(x1351,x1352),f47(x1351,x1352)))),
% 3.89/3.99 inference(scs_inference,[],[67,49,52,53,54,55,56,58,100,86,85,84,82,80,109,103])).
% 3.89/3.99 cnf(136,plain,
% 3.89/3.99 (P14(f47(f4(x1361,x1362),f47(x1362,x1361)))),
% 3.89/3.99 inference(scs_inference,[],[67,49,52,53,54,55,56,58,59,100,86,85,84,82,80,109,103,102])).
% 3.89/3.99 cnf(137,plain,
% 3.89/3.99 (P14(f47(f47(x1371,f47(x1371,x1372)),f47(x1371,x1372)))),
% 3.89/3.99 inference(scs_inference,[],[67,49,50,52,53,54,55,56,58,59,100,86,85,84,82,80,109,103,102,111])).
% 3.89/3.99 cnf(138,plain,
% 3.89/3.99 (E(f5(f47(x1381,x1382),f47(x1382,x1381)),f4(x1381,x1382))),
% 3.89/3.99 inference(scs_inference,[],[67,49,50,52,53,54,55,56,58,59,65,100,86,85,84,82,80,109,103,102,111,79])).
% 3.89/3.99 cnf(139,plain,
% 3.89/3.99 (E(f59(f5(x1391,f59(x1392))),f47(x1391,x1392))),
% 3.89/3.99 inference(scs_inference,[],[67,49,50,52,53,54,55,56,58,59,63,65,100,86,85,84,82,80,109,103,102,111,79,75])).
% 3.89/3.99 cnf(140,plain,
% 3.89/3.99 (P14(f47(f47(x1401,x1402),f47(f47(x1402,x1401),f4(x1401,x1402))))),
% 3.89/3.99 inference(scs_inference,[],[67,49,50,52,53,54,55,56,58,59,60,63,65,100,86,85,84,82,80,109,103,102,111,79,75,116])).
% 3.89/3.99 cnf(141,plain,
% 3.89/3.99 (P14(f47(f47(x1411,x1412),f47(f47(x1412,x1413),f47(x1411,x1413))))),
% 3.89/3.99 inference(scs_inference,[],[67,49,50,51,52,53,54,55,56,58,59,60,63,65,100,86,85,84,82,80,109,103,102,111,79,75,116,114])).
% 3.89/3.99 cnf(142,plain,
% 3.89/3.99 (P14(f47(f47(f59(x1421),f59(x1422)),f47(x1422,x1421)))),
% 3.89/3.99 inference(scs_inference,[],[67,48,49,50,51,52,53,54,55,56,58,59,60,63,65,100,86,85,84,82,80,109,103,102,111,79,75,116,114,108])).
% 3.89/3.99 cnf(143,plain,
% 3.89/3.99 (E(f59(f5(f59(x1431),f59(x1432))),f60(x1431,x1432))),
% 3.89/3.99 inference(scs_inference,[],[67,48,49,50,51,52,53,54,55,56,58,59,60,62,63,65,100,86,85,84,82,80,109,103,102,111,79,75,116,114,108,78])).
% 3.89/3.99 cnf(144,plain,
% 3.89/3.99 (P14(f47(f47(x1441,x1442),f47(f47(x1443,x1442),f47(f60(x1441,x1443),x1442))))),
% 3.89/3.99 inference(scs_inference,[],[67,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,65,100,86,85,84,82,80,109,103,102,111,79,75,116,114,108,78,124])).
% 3.89/3.99 cnf(145,plain,
% 3.89/3.99 (E(f5(x1451,f5(f47(x1452,x1453),f47(x1453,x1452))),f5(x1451,f4(x1452,x1453)))),
% 3.89/3.99 inference(scs_inference,[],[67,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,65,100,86,85,84,82,80,109,103,102,111,79,75,116,114,108,78,124,12])).
% 3.89/3.99 cnf(146,plain,
% 3.89/3.99 (E(f5(f5(f47(x1461,x1462),f47(x1462,x1461)),x1463),f5(f4(x1461,x1462),x1463))),
% 3.89/3.99 inference(scs_inference,[],[67,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,65,100,86,85,84,82,80,109,103,102,111,79,75,116,114,108,78,124,12,11])).
% 3.89/3.99 cnf(147,plain,
% 3.89/3.99 (E(f60(x1471,f5(f47(x1472,x1473),f47(x1473,x1472))),f60(x1471,f4(x1472,x1473)))),
% 3.89/3.99 inference(scs_inference,[],[67,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,65,100,86,85,84,82,80,109,103,102,111,79,75,116,114,108,78,124,12,11,10])).
% 3.89/3.99 cnf(148,plain,
% 3.89/3.99 (E(f60(f5(f47(x1481,x1482),f47(x1482,x1481)),x1483),f60(f4(x1481,x1482),x1483))),
% 3.89/3.99 inference(scs_inference,[],[67,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,65,100,86,85,84,82,80,109,103,102,111,79,75,116,114,108,78,124,12,11,10,9])).
% 3.89/3.99 cnf(149,plain,
% 3.89/3.99 (E(f59(f5(f47(x1491,x1492),f47(x1492,x1491))),f59(f4(x1491,x1492)))),
% 3.89/3.99 inference(scs_inference,[],[67,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,65,100,86,85,84,82,80,109,103,102,111,79,75,116,114,108,78,124,12,11,10,9,8])).
% 3.89/3.99 cnf(150,plain,
% 3.89/3.99 (E(f4(x1501,f5(f47(x1502,x1503),f47(x1503,x1502))),f4(x1501,f4(x1502,x1503)))),
% 3.89/3.99 inference(scs_inference,[],[67,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,65,100,86,85,84,82,80,109,103,102,111,79,75,116,114,108,78,124,12,11,10,9,8,7])).
% 3.89/3.99 cnf(151,plain,
% 3.89/3.99 (E(f4(f5(f47(x1511,x1512),f47(x1512,x1511)),x1513),f4(f4(x1511,x1512),x1513))),
% 3.89/3.99 inference(scs_inference,[],[67,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,65,100,86,85,84,82,80,109,103,102,111,79,75,116,114,108,78,124,12,11,10,9,8,7,6])).
% 3.89/3.99 cnf(152,plain,
% 3.89/3.99 (E(f47(x1521,f5(f47(x1522,x1523),f47(x1523,x1522))),f47(x1521,f4(x1522,x1523)))),
% 3.89/3.99 inference(scs_inference,[],[67,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,65,100,86,85,84,82,80,109,103,102,111,79,75,116,114,108,78,124,12,11,10,9,8,7,6,5])).
% 3.89/3.99 cnf(153,plain,
% 3.89/3.99 (E(f47(f5(f47(x1531,x1532),f47(x1532,x1531)),x1533),f47(f4(x1531,x1532),x1533))),
% 3.89/3.99 inference(scs_inference,[],[67,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,65,100,86,85,84,82,80,109,103,102,111,79,75,116,114,108,78,124,12,11,10,9,8,7,6,5,4])).
% 3.89/3.99 cnf(155,plain,
% 3.89/3.99 (~E(f47(f5(x1551,x1552),x1551),f47(a40,f47(f59(a40),a43)))),
% 3.89/3.99 inference(scs_inference,[],[67,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,65,66,100,86,85,84,82,80,109,103,102,111,79,75,116,114,108,78,124,12,11,10,9,8,7,6,5,4,33,29])).
% 3.89/3.99 cnf(156,plain,
% 3.89/3.99 (~E(f47(f5(f5(f47(x1561,x1562),f47(x1562,x1561)),x1563),f4(x1561,x1562)),f47(a40,f47(f59(a40),a43)))),
% 3.89/3.99 inference(scs_inference,[],[67,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,65,66,100,86,85,84,82,80,109,103,102,111,79,75,116,114,108,78,124,12,11,10,9,8,7,6,5,4,33,29,3])).
% 3.89/3.99 cnf(157,plain,
% 3.89/3.99 (~P14(f5(x1571,f47(a40,f47(f59(a40),a43))))),
% 3.89/3.99 inference(scs_inference,[],[67,46,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,65,66,100,86,85,84,82,80,109,103,102,111,79,75,116,114,108,78,124,12,11,10,9,8,7,6,5,4,33,29,3,76])).
% 3.89/3.99 cnf(159,plain,
% 3.89/3.99 (E(f4(x1591,x1592),f5(f47(x1591,x1592),f47(x1592,x1591)))),
% 3.89/3.99 inference(scs_inference,[],[67,46,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,65,66,100,86,85,84,82,80,109,103,102,111,79,75,116,114,108,78,124,12,11,10,9,8,7,6,5,4,33,29,3,76,2])).
% 3.89/3.99 cnf(161,plain,
% 3.89/3.99 (P8(a500)),
% 3.89/3.99 inference(scs_inference,[],[67,46,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,65,66,100,86,85,84,82,80,109,103,102,111,79,75,116,114,108,78,124,12,11,10,9,8,7,6,5,4,33,29,3,76,2,93,121])).
% 3.89/3.99 cnf(165,plain,
% 3.89/3.99 (E(x1651,x1652)+~P14(f4(x1651,x1652))),
% 3.89/3.99 inference(scs_inference,[],[47,74])).
% 3.89/3.99 cnf(166,plain,
% 3.89/3.99 (P14(x1661)+~P14(x1662)+~P14(f47(x1662,x1661))),
% 3.89/3.99 inference(scs_inference,[],[46,76])).
% 3.89/3.99 cnf(167,plain,
% 3.89/3.99 (P16(a500)),
% 3.89/3.99 inference(scs_inference,[],[129,96])).
% 3.89/3.99 cnf(168,plain,
% 3.89/3.99 (P14(f47(f47(f47(x1681,x1682),f47(x1681,f47(x1681,x1682))),f4(f47(x1681,f47(x1681,x1682)),f47(x1681,x1682))))),
% 3.89/3.99 inference(scs_inference,[],[140,137,166])).
% 3.89/3.99 cnf(172,plain,
% 3.89/3.99 (~E(f5(f47(f59(a40),a43),x1721),a40)),
% 3.89/3.99 inference(scs_inference,[],[140,137,156,155,166,2,4])).
% 3.89/3.99 cnf(174,plain,
% 3.89/3.99 (~P14(f4(f47(f59(a40),a43),a40))),
% 3.89/3.99 inference(scs_inference,[],[140,159,137,157,156,155,166,2,4,29])).
% 3.89/3.99 cnf(190,plain,
% 3.89/3.99 (E(f60(f5(f47(x1901,x1902),f47(x1902,x1901)),f5(f47(x1903,x1904),f47(x1904,x1903))),f60(f4(x1901,x1902),f4(x1903,x1904)))),
% 3.89/3.99 inference(scs_inference,[],[149,147,148,152,139,129,2,4,29,3])).
% 3.89/3.99 cnf(194,plain,
% 3.89/3.99 (~P14(f47(f47(f4(x1941,x1942),f47(x1941,x1942)),f47(a40,f47(f59(a40),a43))))),
% 3.89/3.99 inference(scs_inference,[],[128,149,147,148,152,135,139,129,161,2,4,29,3,41,166])).
% 3.89/3.99 cnf(202,plain,
% 3.89/3.99 (~E(f5(f47(f59(a40),a43),x2021),a40)),
% 3.89/3.99 inference(rename_variables,[],[172])).
% 3.89/3.99 cnf(205,plain,
% 3.89/3.99 (~E(f47(x2051,f47(x2052,f5(x2051,x2052))),f47(a40,f47(f59(a40),a43)))),
% 3.89/3.99 inference(scs_inference,[],[128,134,136,194,172,202,138,166,3,2,29])).
% 3.89/3.99 cnf(207,plain,
% 3.89/3.99 (~E(f47(x2071,f5(a40,x2071)),f47(f59(a40),a43))),
% 3.89/3.99 inference(scs_inference,[],[128,134,136,194,172,202,167,138,166,3,2,29,37,5])).
% 3.89/3.99 cnf(210,plain,
% 3.89/3.99 (E(f47(x2101,f59(f5(f59(x2102),f59(x2103)))),f47(x2101,f60(x2102,x2103)))),
% 3.89/3.99 inference(scs_inference,[],[143,5])).
% 3.89/3.99 cnf(214,plain,
% 3.89/3.99 (E(f4(f5(f47(x2141,x2142),f47(x2142,x2141)),f5(f47(x2143,x2144),f47(x2144,x2143))),f4(f4(x2141,x2142),f4(x2143,x2144)))),
% 3.89/3.99 inference(scs_inference,[],[129,128,150,151,143,5,166,3])).
% 3.89/3.99 cnf(221,plain,
% 3.89/3.99 (E(f5(x2211,f59(f5(f59(x2212),f59(x2213)))),f5(x2211,f60(x2212,x2213)))),
% 3.89/3.99 inference(scs_inference,[],[129,65,128,190,150,151,143,159,5,166,3,29,2,31,12])).
% 3.89/3.99 cnf(222,plain,
% 3.89/3.99 (E(f5(f59(f5(f59(x2221),f59(x2222))),x2223),f5(f60(x2221,x2222),x2223))),
% 3.89/3.99 inference(scs_inference,[],[129,65,128,190,150,151,143,159,5,166,3,29,2,31,12,11])).
% 3.89/3.99 cnf(223,plain,
% 3.89/3.99 (E(f60(x2231,f59(f5(f59(x2232),f59(x2233)))),f60(x2231,f60(x2232,x2233)))),
% 3.89/3.99 inference(scs_inference,[],[129,65,128,190,150,151,143,159,5,166,3,29,2,31,12,11,10])).
% 3.89/3.99 cnf(224,plain,
% 3.89/3.99 (E(f60(f59(f5(f59(x2241),f59(x2242))),x2243),f60(f60(x2241,x2242),x2243))),
% 3.89/3.99 inference(scs_inference,[],[129,65,128,190,150,151,143,159,5,166,3,29,2,31,12,11,10,9])).
% 3.89/3.99 cnf(225,plain,
% 3.89/3.99 (E(f4(x2251,f59(f5(f59(x2252),f59(x2253)))),f4(x2251,f60(x2252,x2253)))),
% 3.89/3.99 inference(scs_inference,[],[129,65,128,190,150,151,143,159,5,166,3,29,2,31,12,11,10,9,7])).
% 3.89/3.99 cnf(226,plain,
% 3.89/3.99 (E(f59(f59(f5(f59(x2261),f59(x2262)))),f59(f60(x2261,x2262)))),
% 3.89/3.99 inference(scs_inference,[],[129,65,128,190,150,151,143,159,5,166,3,29,2,31,12,11,10,9,7,8])).
% 3.89/3.99 cnf(227,plain,
% 3.89/3.99 (E(f4(f59(f5(f59(x2271),f59(x2272))),x2273),f4(f60(x2271,x2272),x2273))),
% 3.89/3.99 inference(scs_inference,[],[129,65,128,190,150,151,143,159,5,166,3,29,2,31,12,11,10,9,7,8,6])).
% 3.89/3.99 cnf(233,plain,
% 3.89/3.99 (~E(f47(x2331,f5(a40,x2331)),f47(f59(a40),a43))),
% 3.89/3.99 inference(rename_variables,[],[207])).
% 3.89/3.99 cnf(235,plain,
% 3.89/3.99 (E(f47(x2351,f59(f5(f59(x2352),f59(x2353)))),f47(x2351,f60(x2352,x2353)))),
% 3.89/3.99 inference(rename_variables,[],[210])).
% 3.89/3.99 cnf(237,plain,
% 3.89/3.99 (E(f47(f5(f47(x2371,x2372),f47(x2372,x2371)),f59(f5(f59(x2373),f59(x2374)))),f47(f4(x2371,x2372),f60(x2373,x2374)))),
% 3.89/3.99 inference(scs_inference,[],[129,128,153,210,235,207,166,5,29,3])).
% 3.89/3.99 cnf(240,plain,
% 3.89/3.99 (~E(f47(a40,f47(f59(a40),a43)),f47(x2401,f47(x2402,f5(x2401,x2402))))),
% 3.89/3.99 inference(scs_inference,[],[129,128,153,210,235,205,207,166,5,29,3,2])).
% 3.89/3.99 cnf(242,plain,
% 3.89/3.99 (~P14(f4(f47(x2421,f5(a40,x2421)),f47(f59(a40),a43)))),
% 3.89/3.99 inference(scs_inference,[],[63,129,128,153,210,235,205,207,233,166,5,29,3,2,30,165])).
% 3.89/3.99 cnf(247,plain,
% 3.89/3.99 (P14(f47(f5(x2471,x2472),x2472))),
% 3.89/3.99 inference(rename_variables,[],[130])).
% 3.89/3.99 cnf(249,plain,
% 3.89/3.99 (E(f47(x2491,f59(f5(x2492,f59(x2493)))),f47(x2491,f47(x2492,x2493)))),
% 3.89/3.99 inference(scs_inference,[],[130,242,139,166,5])).
% 3.89/3.99 cnf(250,plain,
% 3.89/3.99 (E(f47(f4(x2501,x2502),f60(x2503,x2504)),f47(f5(f47(x2501,x2502),f47(x2502,x2501)),f59(f5(f59(x2503),f59(x2504)))))),
% 3.89/3.99 inference(scs_inference,[],[130,237,242,139,166,5,2])).
% 3.89/3.99 cnf(251,plain,
% 3.89/3.99 (~E(f47(f5(x2511,x2512),x2512),f47(a40,f47(f59(a40),a43)))),
% 3.89/3.99 inference(scs_inference,[],[130,247,128,237,242,139,166,5,2,29])).
% 3.89/3.99 cnf(253,plain,
% 3.89/3.99 (E(f47(f4(x2531,x2532),x2533),f47(f5(f47(x2531,x2532),f47(x2532,x2531)),x2533))),
% 3.89/3.99 inference(scs_inference,[],[130,247,62,128,237,242,139,159,166,5,2,29,28,4])).
% 3.89/3.99 cnf(260,plain,
% 3.89/3.99 (~E(f47(f5(x2601,x2602),x2602),f47(a40,f47(f59(a40),a43)))),
% 3.89/3.99 inference(rename_variables,[],[251])).
% 3.89/3.99 cnf(265,plain,
% 3.89/3.99 (~E(f47(f59(a40),a43),f47(x2651,f5(a40,x2651)))),
% 3.89/3.99 inference(scs_inference,[],[168,141,240,251,4,166,5])).
% 3.89/3.99 cnf(267,plain,
% 3.89/3.99 (~P14(f47(a40,f59(f5(f59(a40),f59(a43)))))),
% 3.89/3.99 inference(scs_inference,[],[128,168,141,249,240,251,4,166,5,29])).
% 3.89/3.99 cnf(272,plain,
% 3.89/3.99 (~E(f47(a40,f47(f59(a40),a43)),f47(f5(x2721,x2722),x2722))),
% 3.89/3.99 inference(scs_inference,[],[128,168,141,221,249,240,251,260,146,4,166,5,29,3,2])).
% 3.89/3.99 cnf(274,plain,
% 3.89/3.99 (E(f47(f47(x2741,x2741),f47(f47(x2741,x2741),x2741)),f47(f47(x2741,x2741),x2741))),
% 3.89/3.99 inference(scs_inference,[],[60,128,168,141,221,249,240,251,260,146,4,166,5,29,3,2,27,165])).
% 3.89/3.99 cnf(280,plain,
% 3.89/3.99 (E(f47(f59(f5(f59(x2801),f59(x2802))),x2803),f47(f60(x2801,x2802),x2803))),
% 3.89/3.99 inference(scs_inference,[],[272,143,165,4])).
% 3.89/3.99 cnf(283,plain,
% 3.89/3.99 (E(f47(x2831,f4(x2832,x2833)),f47(x2831,f5(f47(x2832,x2833),f47(x2833,x2832))))),
% 3.89/3.99 inference(scs_inference,[],[131,128,272,159,143,165,4,166,5])).
% 3.89/3.99 cnf(287,plain,
% 3.89/3.99 (~E(f47(a40,f47(f59(a40),a43)),f47(f4(x2871,x2872),f47(x2872,x2871)))),
% 3.89/3.99 inference(scs_inference,[],[131,128,250,272,253,159,143,165,4,166,5,29,3])).
% 3.89/3.99 cnf(292,plain,
% 3.89/3.99 (E(f5(x2921,f59(f5(x2922,f59(x2923)))),f5(x2921,f47(x2922,x2923)))),
% 3.89/3.99 inference(scs_inference,[],[131,59,128,274,250,272,253,139,159,143,165,4,166,5,29,3,2,26,12])).
% 3.89/3.99 cnf(293,plain,
% 3.89/3.99 (E(f60(x2931,f59(f5(x2932,f59(x2933)))),f60(x2931,f47(x2932,x2933)))),
% 3.89/3.99 inference(scs_inference,[],[131,59,128,274,250,272,253,139,159,143,165,4,166,5,29,3,2,26,12,10])).
% 3.89/3.99 cnf(297,plain,
% 3.89/3.99 (E(f4(f59(f5(x2971,f59(x2972))),x2973),f4(f47(x2971,x2972),x2973))),
% 3.89/3.99 inference(scs_inference,[],[131,59,128,274,250,272,253,139,159,143,165,4,166,5,29,3,2,26,12,10,7,11,9,6])).
% 3.89/3.99 cnf(304,plain,
% 3.89/3.99 (~E(a40,f4(a43,f59(a40)))),
% 3.89/3.99 inference(scs_inference,[],[130,287,174,166,4])).
% 3.89/3.99 cnf(308,plain,
% 3.89/3.99 (~E(f47(x3081,f60(x3081,x3082)),f47(a40,f47(f59(a40),a43)))),
% 3.89/3.99 inference(scs_inference,[],[130,131,128,287,265,174,166,4,5,29])).
% 3.89/3.99 cnf(309,plain,
% 3.89/3.99 (E(f47(f59(f5(f59(x3091),f59(x3092))),f4(x3093,x3094)),f47(f60(x3091,x3092),f5(f47(x3093,x3094),f47(x3094,x3093))))),
% 3.89/3.99 inference(scs_inference,[],[130,131,128,283,280,287,265,174,166,4,5,29,3])).
% 3.89/3.99 cnf(316,plain,
% 3.89/3.99 (P14(f60(x3161,f47(f5(x3162,x3163),x3163)))),
% 3.89/3.99 inference(scs_inference,[],[132,130,166])).
% 3.89/3.99 cnf(336,plain,
% 3.89/3.99 (~E(a40,f5(f47(a43,f59(a40)),f47(f59(a40),a43)))),
% 3.89/3.99 inference(scs_inference,[],[132,128,308,304,153,138,165,166,29,3])).
% 3.89/3.99 cnf(338,plain,
% 3.89/3.99 (~E(f47(a40,f47(f59(a40),a43)),f47(x3381,f60(x3381,x3382)))),
% 3.89/3.99 inference(scs_inference,[],[132,128,308,304,153,138,165,166,29,3,2])).
% 3.89/3.99 cnf(342,plain,
% 3.89/3.99 (~P14(f47(f59(a40),a43))),
% 3.89/3.99 inference(scs_inference,[],[133,128,166])).
% 3.89/3.99 cnf(343,plain,
% 3.89/3.99 (P14(f47(x3431,f47(x3432,x3431)))),
% 3.89/3.99 inference(rename_variables,[],[133])).
% 3.89/3.99 cnf(345,plain,
% 3.89/3.99 (~E(f47(x3451,f47(x3452,x3451)),f47(a40,f47(f59(a40),a43)))),
% 3.89/3.99 inference(scs_inference,[],[133,343,128,166,29])).
% 3.89/3.99 cnf(346,plain,
% 3.89/3.99 (E(f4(f5(f47(x3461,x3462),f47(x3462,x3461)),f5(f47(x3463,x3464),f47(x3464,x3463))),f5(f47(f4(x3461,x3462),f4(x3463,x3464)),f47(f4(x3463,x3464),f4(x3461,x3462))))),
% 3.89/3.99 inference(scs_inference,[],[133,343,128,214,159,166,29,3])).
% 3.89/3.99 cnf(347,plain,
% 3.89/3.99 (E(f4(x3471,x3472),f5(f47(x3471,x3472),f47(x3472,x3471)))),
% 3.89/3.99 inference(rename_variables,[],[159])).
% 3.89/3.99 cnf(350,plain,
% 3.89/3.99 (E(f5(x3501,f4(x3502,x3503)),f5(x3501,f5(f47(x3502,x3503),f47(x3503,x3502))))),
% 3.89/3.99 inference(scs_inference,[],[133,343,55,128,309,214,159,347,166,29,3,2,22,12])).
% 3.89/3.99 cnf(351,plain,
% 3.89/3.99 (E(f4(x3511,f4(x3512,x3513)),f4(x3511,f5(f47(x3512,x3513),f47(x3513,x3512))))),
% 3.89/3.99 inference(scs_inference,[],[133,343,55,128,309,214,159,347,166,29,3,2,22,12,7])).
% 3.89/3.99 cnf(353,plain,
% 3.89/3.99 (E(f60(f4(x3531,x3532),x3533),f60(f5(f47(x3531,x3532),f47(x3532,x3531)),x3533))),
% 3.89/3.99 inference(scs_inference,[],[133,343,55,128,309,214,159,347,166,29,3,2,22,12,7,10,9])).
% 3.89/3.99 cnf(354,plain,
% 3.89/3.99 (E(f4(f4(x3541,x3542),x3543),f4(f5(f47(x3541,x3542),f47(x3542,x3541)),x3543))),
% 3.89/3.99 inference(scs_inference,[],[133,343,55,128,309,214,159,347,166,29,3,2,22,12,7,10,9,6])).
% 3.89/3.99 cnf(355,plain,
% 3.89/3.99 (E(f5(f4(x3551,x3552),x3553),f5(f5(f47(x3551,x3552),f47(x3552,x3551)),x3553))),
% 3.89/3.99 inference(scs_inference,[],[133,343,55,128,309,214,159,347,166,29,3,2,22,12,7,10,9,6,11])).
% 3.89/3.99 cnf(357,plain,
% 3.89/3.99 (~E(f47(f59(a40),a43),f60(a40,x3571))),
% 3.89/3.99 inference(scs_inference,[],[133,343,55,128,309,338,214,159,347,166,29,3,2,22,12,7,10,9,6,11,24,5])).
% 3.89/3.99 cnf(364,plain,
% 3.89/3.99 (~E(f47(a40,f47(f59(a40),a43)),f47(x3641,f47(x3642,x3641)))),
% 3.89/3.99 inference(scs_inference,[],[133,130,345,166,2])).
% 3.89/3.99 cnf(365,plain,
% 3.89/3.99 (~P14(f59(f5(f59(a40),f59(a43))))),
% 3.89/3.99 inference(scs_inference,[],[133,130,345,342,139,166,2,29])).
% 3.89/4.00 cnf(367,plain,
% 3.89/4.00 (E(f4(f5(f47(x3671,x3672),f47(x3672,x3671)),f4(x3673,x3674)),f5(f47(f4(x3671,x3672),f4(x3673,x3674)),f47(f4(x3673,x3674),f4(x3671,x3672))))),
% 3.89/4.00 inference(scs_inference,[],[133,130,346,351,345,342,139,166,2,29,3])).
% 3.89/4.00 cnf(373,plain,
% 3.89/4.00 (~P14(f47(f47(x3731,f47(x3732,x3731)),f47(a40,f47(f59(a40),a43))))),
% 3.89/4.00 inference(scs_inference,[],[133,128,166])).
% 3.89/4.00 cnf(377,plain,
% 3.89/4.00 (E(f5(f47(f4(x3771,x3772),f4(x3773,x3774)),f47(f4(x3773,x3774),f4(x3771,x3772))),f4(f5(f47(x3771,x3772),f47(x3772,x3771)),f4(x3773,x3774)))),
% 3.89/4.00 inference(scs_inference,[],[133,128,367,292,336,166,3,2])).
% 3.89/4.00 cnf(378,plain,
% 3.89/4.00 (P14(f47(f5(f4(x3781,x3782),x3783),f5(f47(x3781,x3782),f47(x3782,x3781))))),
% 3.89/4.00 inference(scs_inference,[],[133,129,128,367,292,336,283,166,3,2,29])).
% 3.89/4.00 cnf(386,plain,
% 3.89/4.00 (~P14(f5(x3861,f59(f5(f59(a40),f59(a43)))))),
% 3.89/4.00 inference(scs_inference,[],[130,365,166])).
% 3.89/4.00 cnf(392,plain,
% 3.89/4.00 (~E(f47(x3921,f60(x3922,x3921)),f47(a40,f47(f59(a40),a43)))),
% 3.89/4.00 inference(scs_inference,[],[132,130,128,350,355,365,166,3,29])).
% 3.89/4.00 cnf(395,plain,
% 3.89/4.00 (~P14(f4(f47(f59(a40),a43),f60(a40,x3951)))),
% 3.89/4.00 inference(scs_inference,[],[52,132,130,128,350,355,365,357,166,3,29,2,19,165])).
% 3.89/4.00 cnf(403,plain,
% 3.89/4.00 (E(f4(f4(x4031,x4032),f59(f5(f59(x4033),f59(x4034)))),f4(f5(f47(x4031,x4032),f47(x4032,x4031)),f60(x4033,x4034)))),
% 3.89/4.00 inference(scs_inference,[],[134,135,354,222,225,166,2,3])).
% 3.89/4.00 cnf(405,plain,
% 3.89/4.00 (E(f4(x4051,f59(f5(f59(x4052),f59(x4053)))),f4(x4051,f60(x4052,x4053)))),
% 3.89/4.00 inference(rename_variables,[],[225])).
% 3.89/4.00 cnf(410,plain,
% 3.89/4.00 (~E(f60(x4101,a40),f47(f59(a40),a43))),
% 3.89/4.00 inference(scs_inference,[],[134,135,354,222,225,405,392,395,51,166,2,3,29,18,5])).
% 3.89/4.00 cnf(419,plain,
% 3.89/4.00 (~E(f47(f59(a40),a43),f60(x4191,a40))),
% 3.89/4.00 inference(scs_inference,[],[129,130,128,410,249,166,29,2])).
% 3.89/4.00 cnf(429,plain,
% 3.89/4.00 (~E(f47(f4(x4291,x4292),f47(x4291,x4292)),f47(a40,f47(f59(a40),a43)))),
% 3.89/4.00 inference(scs_inference,[],[136,135,128,373,166,29])).
% 3.89/4.00 cnf(431,plain,
% 3.89/4.00 (E(f60(f4(x4311,x4312),f59(f5(f59(x4313),f59(x4314)))),f60(f5(f47(x4311,x4312),f47(x4312,x4311)),f60(x4313,x4314)))),
% 3.89/4.00 inference(scs_inference,[],[136,135,128,353,403,223,373,166,29,2,3])).
% 3.89/4.00 cnf(442,plain,
% 3.89/4.00 (~P14(f4(f59(f5(f59(a40),f59(a43))),f60(a40,x4421)))),
% 3.89/4.00 inference(scs_inference,[],[134,136,297,395,166,29])).
% 3.89/4.00 cnf(444,plain,
% 3.89/4.00 (~E(f47(a40,f47(f59(a40),a43)),f47(f4(x4441,x4442),f47(x4441,x4442)))),
% 3.89/4.00 inference(scs_inference,[],[134,136,297,429,395,166,29,2])).
% 3.89/4.00 cnf(458,plain,
% 3.89/4.00 (E(f60(f5(f47(x4581,x4582),f47(x4582,x4581)),f60(x4583,x4584)),f60(f4(x4581,x4582),f59(f5(f59(x4583),f59(x4584)))))),
% 3.89/4.00 inference(scs_inference,[],[137,134,128,431,253,166,29,2])).
% 3.89/4.00 cnf(463,plain,
% 3.89/4.00 (~E(f47(f59(a40),a43),f47(x4631,a40))),
% 3.89/4.00 inference(scs_inference,[],[137,134,128,431,444,47,364,153,253,166,29,2,3,14,5])).
% 3.89/4.00 cnf(468,plain,
% 3.89/4.00 (P14(f47(f47(x4681,f47(x4681,x4682)),f47(x4681,x4682)))),
% 3.89/4.00 inference(rename_variables,[],[137])).
% 3.89/4.00 cnf(472,plain,
% 3.89/4.00 (E(f60(f5(f47(x4721,x4722),f47(x4722,x4721)),f60(x4723,x4724)),f60(f4(x4721,x4722),f47(f59(x4723),x4724)))),
% 3.89/4.00 inference(scs_inference,[],[137,468,128,458,293,463,166,29,2,3])).
% 3.89/4.00 cnf(478,plain,
% 3.89/4.00 (P14(f47(x4781,x4781))),
% 3.89/4.00 inference(scs_inference,[],[137,133,166])).
% 3.89/4.00 cnf(479,plain,
% 3.89/4.00 (P14(f47(f47(x4791,f47(x4791,x4792)),f47(x4791,x4792)))),
% 3.89/4.00 inference(rename_variables,[],[137])).
% 3.89/4.00 cnf(482,plain,
% 3.89/4.00 (~E(f47(f47(x4821,f47(x4821,x4822)),f47(x4821,x4822)),f59(f5(f59(a40),f59(a43))))),
% 3.89/4.00 inference(scs_inference,[],[137,479,133,365,166,29])).
% 3.89/4.00 cnf(483,plain,
% 3.89/4.00 (E(f60(f4(x4831,x4832),f47(f59(x4833),x4834)),f60(f5(f47(x4831,x4832),f47(x4832,x4831)),f60(x4833,x4834)))),
% 3.89/4.00 inference(scs_inference,[],[137,479,133,472,365,166,29,2])).
% 3.89/4.00 cnf(491,plain,
% 3.89/4.00 (~P14(f47(f47(f4(x4911,x4912),f47(x4912,x4911)),f47(a40,f47(f59(a40),a43))))),
% 3.89/4.00 inference(scs_inference,[],[136,128,166])).
% 3.89/4.00 cnf(496,plain,
% 3.89/4.00 (~E(f59(f5(f59(a40),f59(a43))),f47(f47(x4961,f47(x4961,x4962)),f47(x4961,x4962)))),
% 3.89/4.00 inference(scs_inference,[],[136,131,128,482,153,166,29,2])).
% 3.89/4.00 cnf(507,plain,
% 3.89/4.00 (~E(f47(f5(f4(x5071,x5072),x5073),f5(f47(x5071,x5072),f47(x5072,x5071))),f47(a40,f47(f59(a40),a43)))),
% 3.89/4.00 inference(scs_inference,[],[135,128,378,491,166,29])).
% 3.89/4.00 cnf(508,plain,
% 3.89/4.00 (E(f47(x5081,x5082),f59(f5(x5081,f59(x5082))))),
% 3.89/4.00 inference(scs_inference,[],[135,139,128,378,491,166,29,2])).
% 3.89/4.00 cnf(514,plain,
% 3.89/4.00 (E(f59(f47(x5141,x5142)),f59(f59(f5(x5141,f59(x5142)))))),
% 3.89/4.00 inference(scs_inference,[],[135,138,139,128,483,378,491,148,166,29,2,3,41,7,8])).
% 3.89/4.00 cnf(515,plain,
% 3.89/4.00 (E(f5(x5151,f47(x5152,x5153)),f5(x5151,f59(f5(x5152,f59(x5153)))))),
% 3.89/4.00 inference(scs_inference,[],[135,138,139,128,483,378,491,148,166,29,2,3,41,7,8,12])).
% 3.89/4.00 cnf(516,plain,
% 3.89/4.00 (E(f60(f47(x5161,x5162),x5163),f60(f59(f5(x5161,f59(x5162))),x5163))),
% 3.89/4.00 inference(scs_inference,[],[135,138,139,128,483,378,491,148,166,29,2,3,41,7,8,12,9])).
% 3.89/4.00 cnf(517,plain,
% 3.89/4.00 (E(f5(f47(x5171,x5172),x5173),f5(f59(f5(x5171,f59(x5172))),x5173))),
% 3.89/4.00 inference(scs_inference,[],[135,138,139,128,483,378,491,148,166,29,2,3,41,7,8,12,9,11])).
% 3.89/4.00 cnf(518,plain,
% 3.89/4.00 (E(f60(x5181,f47(x5182,x5183)),f60(x5181,f59(f5(x5182,f59(x5183)))))),
% 3.89/4.00 inference(scs_inference,[],[135,138,139,128,483,378,491,148,166,29,2,3,41,7,8,12,9,11,10])).
% 3.89/4.00 cnf(519,plain,
% 3.89/4.00 (E(f4(f47(x5191,x5192),x5193),f4(f59(f5(x5191,f59(x5192))),x5193))),
% 3.89/4.00 inference(scs_inference,[],[135,138,139,128,483,378,491,148,166,29,2,3,41,7,8,12,9,11,10,6])).
% 3.89/4.00 cnf(520,plain,
% 3.89/4.00 (E(f47(f47(x5201,x5202),x5203),f47(f59(f5(x5201,f59(x5202))),x5203))),
% 3.89/4.00 inference(scs_inference,[],[135,138,139,128,483,378,491,148,166,29,2,3,41,7,8,12,9,11,10,6,4])).
% 3.89/4.00 cnf(525,plain,
% 3.89/4.00 (P14(f47(x5251,f5(x5251,x5251)))),
% 3.89/4.00 inference(scs_inference,[],[137,134,444,4,166])).
% 3.89/4.00 cnf(533,plain,
% 3.89/4.00 (E(f59(f47(f59(x5331),x5332)),f59(f60(x5331,x5332)))),
% 3.89/4.00 inference(scs_inference,[],[137,134,226,514,515,507,386,444,4,166,29,2,3])).
% 3.89/4.00 cnf(538,plain,
% 3.89/4.00 (~P14(f47(f47(x5381,f5(x5381,x5381)),f47(a40,f47(f59(a40),a43))))),
% 3.89/4.00 inference(scs_inference,[],[128,525,166])).
% 3.89/4.00 cnf(543,plain,
% 3.89/4.00 (~E(f47(f59(a40),a43),f47(f47(x5431,f47(x5431,x5432)),f47(x5431,x5432)))),
% 3.89/4.00 inference(scs_inference,[],[139,128,525,224,518,316,496,166,29,2,3])).
% 3.89/4.00 cnf(552,plain,
% 3.89/4.00 (~E(f47(f47(x5521,f47(x5521,x5522)),f47(x5521,x5522)),f47(f59(a40),a43))),
% 3.89/4.00 inference(scs_inference,[],[140,135,128,538,543,166,29,2])).
% 3.89/4.00 cnf(553,plain,
% 3.89/4.00 (E(f5(f47(x5531,x5532),f5(f47(x5533,x5534),f47(x5534,x5533))),f5(f59(f5(x5531,f59(x5532))),f4(x5533,x5534)))),
% 3.89/4.00 inference(scs_inference,[],[140,135,128,517,538,543,145,166,29,2,3])).
% 3.89/4.00 cnf(557,plain,
% 3.89/4.00 (~P14(f4(f47(f59(a40),a43),f47(f47(x5571,f47(x5571,x5572)),f47(x5571,x5572))))),
% 3.89/4.00 inference(scs_inference,[],[140,135,138,128,517,538,543,145,166,29,2,3,38,165])).
% 3.89/4.00 cnf(566,plain,
% 3.89/4.00 (E(f5(f47(x5661,x5662),f47(x5662,x5661)),f4(x5661,x5662))),
% 3.89/4.00 inference(rename_variables,[],[138])).
% 3.89/4.00 cnf(568,plain,
% 3.89/4.00 (E(f5(f47(x5681,f4(x5682,x5683)),f47(f4(x5682,x5683),x5681)),f4(x5681,f5(f47(x5682,x5683),f47(x5683,x5682))))),
% 3.89/4.00 inference(scs_inference,[],[141,140,138,566,553,351,395,272,4,166,29,2,3])).
% 3.89/4.00 cnf(570,plain,
% 3.89/4.00 (E(f5(f47(x5701,x5702),f47(x5702,x5701)),f4(x5701,x5702))),
% 3.89/4.00 inference(rename_variables,[],[138])).
% 3.89/4.00 cnf(572,plain,
% 3.89/4.00 (E(f47(x5721,f47(x5722,x5723)),f47(x5721,f59(f5(x5722,f59(x5723)))))),
% 3.89/4.00 inference(scs_inference,[],[141,140,138,566,570,553,508,351,395,272,4,166,29,2,3,28,5])).
% 3.89/4.00 cnf(585,plain,
% 3.89/4.00 (P14(f47(f47(f59(x5851),f59(x5852)),f47(x5852,x5851)))),
% 3.89/4.00 inference(rename_variables,[],[142])).
% 3.89/4.00 cnf(587,plain,
% 3.89/4.00 (~E(f47(f47(f59(x5871),f59(x5872)),f47(x5872,x5871)),f47(a40,f47(f59(a40),a43)))),
% 3.89/4.00 inference(scs_inference,[],[142,585,128,166,29])).
% 3.89/4.00 cnf(588,plain,
% 3.89/4.00 (E(f4(x5881,f5(f47(x5882,x5883),f47(x5883,x5882))),f5(f47(x5881,f4(x5882,x5883)),f47(f4(x5882,x5883),x5881)))),
% 3.89/4.00 inference(scs_inference,[],[142,585,128,568,166,29,2])).
% 3.89/4.00 cnf(589,plain,
% 3.89/4.00 (E(f4(f47(f59(x5891),x5892),x5893),f4(f60(x5891,x5892),x5893))),
% 3.89/4.00 inference(scs_inference,[],[142,585,128,568,227,519,166,29,2,3])).
% 3.89/4.00 cnf(597,plain,
% 3.89/4.00 (~E(f47(a40,f47(f59(a40),a43)),f47(f47(f59(x5971),f59(x5972)),f47(x5972,x5971)))),
% 3.89/4.00 inference(scs_inference,[],[142,140,587,166,2])).
% 3.89/4.00 cnf(598,plain,
% 3.89/4.00 (E(f4(f4(x5981,x5982),f5(f47(x5983,x5984),f47(x5984,x5983))),f4(f5(f47(x5981,x5982),f47(x5982,x5981)),f4(x5983,x5984)))),
% 3.89/4.00 inference(scs_inference,[],[142,140,588,587,377,166,2,3])).
% 3.89/4.00 cnf(611,plain,
% 3.89/4.00 (~E(f47(f47(x6111,x6112),f47(f47(x6112,x6113),f47(x6111,x6113))),f47(a40,f47(f59(a40),a43)))),
% 3.89/4.00 inference(scs_inference,[],[141,128,478,166,29])).
% 3.89/4.00 cnf(612,plain,
% 3.89/4.00 (E(f60(x6121,x6122),f59(f5(f59(x6121),f59(x6122))))),
% 3.89/4.00 inference(scs_inference,[],[141,143,128,478,166,29,2])).
% 3.89/4.00 cnf(616,plain,
% 3.89/4.00 (E(f4(x6161,f60(x6162,x6163)),f4(x6161,f59(f5(f59(x6162),f59(x6163)))))),
% 3.89/4.00 inference(scs_inference,[],[141,143,128,478,572,597,166,29,2,3,20,7])).
% 3.89/4.00 cnf(617,plain,
% 3.89/4.00 (E(f5(x6171,f60(x6172,x6173)),f5(x6171,f59(f5(f59(x6172),f59(x6173)))))),
% 3.89/4.00 inference(scs_inference,[],[141,143,128,478,572,597,166,29,2,3,20,7,12])).
% 3.89/4.00 cnf(620,plain,
% 3.89/4.00 (E(f4(f60(x6201,x6202),x6203),f4(f59(f5(f59(x6201),f59(x6202))),x6203))),
% 3.89/4.00 inference(scs_inference,[],[141,143,128,478,572,597,166,29,2,3,20,7,12,8,10,6])).
% 3.89/4.00 cnf(621,plain,
% 3.89/4.00 (E(f47(x6211,f60(x6212,x6213)),f47(x6211,f59(f5(f59(x6212),f59(x6213)))))),
% 3.89/4.00 inference(scs_inference,[],[141,143,128,478,572,597,166,29,2,3,20,7,12,8,10,6,5])).
% 3.89/4.00 cnf(633,plain,
% 3.89/4.00 (E(f4(f47(f59(x6331),x6332),f60(x6333,x6334)),f4(f60(x6331,x6332),f59(f5(f59(x6333),f59(x6334)))))),
% 3.89/4.00 inference(scs_inference,[],[142,129,589,612,616,611,557,520,4,166,29,2,3])).
% 3.89/4.00 cnf(648,plain,
% 3.89/4.00 (~E(f47(f59(a40),a43),f59(f5(f59(x6481),f59(a40))))),
% 3.89/4.00 inference(scs_inference,[],[144,137,143,598,620,442,419,587,4,166,29,2,3])).
% 3.89/4.00 cnf(664,plain,
% 3.89/4.00 (E(f5(f4(x6641,x6642),f60(x6643,x6644)),f5(f5(f47(x6641,x6642),f47(x6642,x6641)),f59(f5(f59(x6643),f59(x6644)))))),
% 3.89/4.00 inference(scs_inference,[],[136,533,617,355,572,2,29,3])).
% 3.89/4.00 cnf(670,plain,
% 3.89/4.00 (~P14(f5(f4(x6701,x6702),f60(a40,a43)))),
% 3.89/4.00 inference(scs_inference,[],[664,648,386,2,29])).
% 3.89/4.00 cnf(681,plain,
% 3.89/4.00 (~E(f59(f5(f47(x6811,f47(x6811,x6812)),f59(f47(x6811,x6812)))),f47(f59(a40),a43))),
% 3.89/4.00 inference(scs_inference,[],[144,633,670,552,508,2,29,3])).
% 3.89/4.00 cnf(692,plain,
% 3.89/4.00 (E(f60(f47(x6921,x6922),f5(f47(x6923,x6924),f47(x6924,x6923))),f60(f59(f5(x6921,f59(x6922))),f4(x6923,x6924)))),
% 3.89/4.00 inference(scs_inference,[],[140,516,681,147,520,2,29,3])).
% 3.89/4.00 cnf(706,plain,
% 3.89/4.00 ($false),
% 3.89/4.00 inference(scs_inference,[],[144,142,131,692,621,267,166,2,29]),
% 3.89/4.00 ['proof']).
% 3.89/4.00 % SZS output end Proof
% 3.89/4.00 % Total time :3.320000s
%------------------------------------------------------------------------------