TSTP Solution File: SWV373+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV373+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 : n032.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 21:33:20 EDT 2023
% Result : Theorem 1.43s 1.52s
% Output : CNFRefutation 1.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SWV373+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Aug 29 06:51:01 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.50 start to proof:theBenchmark
% 1.43/1.51 %-------------------------------------------
% 1.43/1.51 % File :CSE---1.6
% 1.43/1.51 % Problem :theBenchmark
% 1.43/1.51 % Transform :cnf
% 1.43/1.51 % Format :tptp:raw
% 1.43/1.51 % Command :java -jar mcs_scs.jar %d %s
% 1.43/1.51
% 1.43/1.51 % Result :Theorem 0.980000s
% 1.43/1.51 % Output :CNFRefutation 0.980000s
% 1.43/1.51 %-------------------------------------------
% 1.43/1.52 %------------------------------------------------------------------------------
% 1.43/1.52 % File : SWV373+1 : TPTP v8.1.2. Released v3.3.0.
% 1.43/1.52 % Domain : Software Verification
% 1.43/1.52 % Problem : Priority queue checker: lemma_not_contains_min_not_ok
% 1.43/1.52 % Version : [dNP05] axioms.
% 1.43/1.52 % English :
% 1.43/1.52
% 1.43/1.52 % Refs : [Pis06] Piskac (2006), Email to Geoff Sutcliffe
% 1.43/1.52 % : [dNP05] de Nivelle & Piskac (2005), Verification of an Off-Lin
% 1.43/1.52 % Source : [Pis06]
% 1.43/1.52 % Names : cpq_l009 [Pis06]
% 1.43/1.52
% 1.43/1.52 % Status : Theorem
% 1.43/1.52 % Rating : 0.17 v8.1.0, 0.19 v7.5.0, 0.22 v7.4.0, 0.10 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.13 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.17 v6.2.0, 0.24 v6.1.0, 0.27 v6.0.0, 0.17 v5.5.0, 0.19 v5.4.0, 0.25 v5.3.0, 0.37 v5.2.0, 0.30 v5.1.0, 0.29 v5.0.0, 0.25 v4.1.0, 0.22 v4.0.0, 0.25 v3.7.0, 0.20 v3.5.0, 0.21 v3.4.0, 0.26 v3.3.0
% 1.43/1.52 % Syntax : Number of formulae : 43 ( 16 unt; 0 def)
% 1.43/1.52 % Number of atoms : 88 ( 30 equ)
% 1.43/1.52 % Maximal formula atoms : 4 ( 2 avg)
% 1.43/1.52 % Number of connectives : 61 ( 16 ~; 3 |; 14 &)
% 1.43/1.52 % ( 7 <=>; 21 =>; 0 <=; 0 <~>)
% 1.43/1.52 % Maximal formula depth : 9 ( 5 avg)
% 1.43/1.52 % Maximal term depth : 4 ( 1 avg)
% 1.43/1.52 % Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% 1.43/1.52 % Number of functors : 18 ( 18 usr; 3 con; 0-3 aty)
% 1.43/1.52 % Number of variables : 123 ( 123 !; 0 ?)
% 1.43/1.52 % SPC : FOF_THM_RFO_SEQ
% 1.43/1.52
% 1.43/1.52 % Comments :
% 1.43/1.52 %------------------------------------------------------------------------------
% 1.43/1.52 %----Include the axioms about priority queues and checked priority queues
% 1.43/1.52 include('Axioms/SWV007+0.ax').
% 1.43/1.52 include('Axioms/SWV007+2.ax').
% 1.43/1.52 include('Axioms/SWV007+3.ax').
% 1.43/1.52 %------------------------------------------------------------------------------
% 1.43/1.52 %----lemma_ok_find_min (cpq_l010.p)
% 1.43/1.52 fof(l9_l10,lemma,
% 1.43/1.52 ! [U,V,W] :
% 1.43/1.52 ( ok(findmin_cpq_eff(triple(U,V,W)))
% 1.43/1.52 => ( V != create_slb
% 1.43/1.52 & contains_slb(V,findmin_pqp_res(U))
% 1.43/1.52 & less_than(lookup_slb(V,findmin_pqp_res(U)),findmin_pqp_res(U)) ) ) ).
% 1.43/1.52
% 1.43/1.52 %----lemma_not_contains_min_not_ok (conjecture)
% 1.43/1.52 fof(l9_co,conjecture,
% 1.43/1.52 ! [U,V,W] :
% 1.43/1.52 ( ~ contains_cpq(triple(U,V,W),findmin_cpq_res(triple(U,V,W)))
% 1.43/1.52 => ~ ok(findmin_cpq_eff(triple(U,V,W))) ) ).
% 1.43/1.52
% 1.43/1.52 %------------------------------------------------------------------------------
% 1.43/1.52 %-------------------------------------------
% 1.43/1.52 % Proof found
% 1.43/1.52 % SZS status Theorem for theBenchmark
% 1.43/1.52 % SZS output start Proof
% 1.43/1.52 %ClaNum:96(EqnAxiom:43)
% 1.43/1.52 %VarNum:314(SingletonVarNum:156)
% 1.43/1.52 %MaxLitNum:4
% 1.43/1.52 %MaxfuncDepth:3
% 1.43/1.52 %SharedTerms:12
% 1.43/1.52 %goalClause: 54 60
% 1.43/1.52 %singleGoalClaCount:2
% 1.43/1.52 [56]~P2(a1)
% 1.43/1.52 [54]P7(f8(f19(a9,a10,a11)))
% 1.43/1.52 [60]~P5(f19(a9,a10,a11),f7(f19(a9,a10,a11)))
% 1.43/1.52 [45]P1(a2,x451)
% 1.43/1.52 [46]P1(x461,x461)
% 1.43/1.52 [47]P6(x471,x471)
% 1.43/1.52 [57]~P4(a1,x571)
% 1.43/1.52 [44]E(f4(a1,x441),a1)
% 1.43/1.52 [58]~P8(a1,x581,x582)
% 1.43/1.52 [52]P3(f19(x521,a1,x522))
% 1.43/1.52 [59]~P7(f19(x591,x592,a3))
% 1.43/1.52 [51]E(f7(f19(x511,a1,x512)),a2)
% 1.43/1.52 [53]E(f8(f19(x531,a1,x532)),f19(x531,a1,a3))
% 1.43/1.52 [48]P2(f6(x481,f5(x482,x483)))
% 1.43/1.52 [49]E(f16(f6(x491,f5(x492,x493)),x492),x491)
% 1.43/1.52 [50]E(f15(f6(x501,f5(x502,x503)),x502),x503)
% 1.43/1.52 [55]E(f19(f12(x551,x552),f6(x553,f5(x552,a2)),x554),f13(f19(x551,x553,x554),x552))
% 1.43/1.52 [61]P1(x612,x611)+P1(x611,x612)
% 1.43/1.52 [62]~P9(x621,x622)+P1(x621,x622)
% 1.43/1.52 [64]~P9(x642,x641)+~P1(x641,x642)
% 1.43/1.52 [63]~P6(x631,x632)+P6(x631,f8(x632))
% 1.43/1.52 [69]~P6(x691,x692)+P6(x691,f17(f8(x692),f7(x692)))
% 1.43/1.52 [67]~P6(x671,x672)+P6(x671,f13(x672,x673))
% 1.43/1.52 [68]~P6(x681,x682)+P6(x681,f17(x682,x683))
% 1.43/1.52 [71]E(x711,a3)+P7(f19(x712,x713,x711))
% 1.43/1.52 [73]E(x731,a1)+E(f7(f19(x732,x731,x733)),f14(x732))
% 1.43/1.52 [91]~E(x911,a1)+~P7(f8(f19(x912,x911,x913)))
% 1.43/1.52 [92]P4(x921,f14(x922))+~P7(f8(f19(x922,x921,x923)))
% 1.43/1.52 [93]P1(f15(x931,f14(x932)),f14(x932))+~P7(f8(f19(x932,x931,x933)))
% 1.43/1.52 [76]~P4(x762,x764)+P5(f19(x761,x762,x763),x764)
% 1.43/1.52 [82]P4(x821,x822)+~P5(f19(x823,x821,x824),x822)
% 1.43/1.52 [70]~E(x702,x704)+P4(f6(x701,f5(x702,x703)),x704)
% 1.43/1.52 [72]~P4(x721,x724)+P4(f6(x721,f5(x722,x723)),x724)
% 1.43/1.52 [81]P4(x812,x814)+E(f17(f19(x811,x812,x813),x814),f19(x811,x812,a3))
% 1.43/1.52 [78]~P1(x782,x784)+E(f6(f4(x781,x782),f5(x783,x784)),f4(f6(x781,f5(x783,x784)),x782))
% 1.43/1.52 [79]~P9(x793,x794)+E(f4(f6(x791,f5(x792,x793)),x794),f6(f4(x791,x794),f5(x792,x794)))
% 1.43/1.52 [83]~P8(x831,x834,x835)+P8(f6(x831,f5(x832,x833)),x834,x835)
% 1.43/1.52 [94]~P9(x941,x942)+~P3(f19(x943,f6(x944,f5(x941,x942)),x945))
% 1.43/1.52 [65]P9(x652,x651)+~P1(x652,x651)+P1(x651,x652)
% 1.43/1.52 [66]~P1(x661,x663)+P1(x661,x662)+~P1(x663,x662)
% 1.43/1.52 [84]P4(x841,f14(x842))+E(x841,a1)+E(f8(f19(x842,x841,x843)),f19(x842,f4(x841,f14(x842)),a3))
% 1.43/1.52 [77]E(x771,x772)+P4(x773,x772)+~P4(f6(x773,f5(x771,x774)),x772)
% 1.43/1.52 [87]~P4(x872,x874)+~P9(x874,f15(x872,x874))+E(f17(f19(x871,x872,x873),x874),f19(f18(x871,x874),f16(x872,x874),a3))
% 1.43/1.52 [88]~P4(x883,x882)+~P1(f15(x883,x882),x882)+E(f19(f18(x881,x882),f16(x883,x882),x884),f17(f19(x881,x883,x884),x882))
% 1.43/1.52 [74]~P4(x743,x742)+E(x741,x742)+E(f15(f6(x743,f5(x741,x744)),x742),f15(x743,x742))
% 1.43/1.52 [80]~P4(x803,x802)+E(x801,x802)+E(f16(f6(x803,f5(x801,x804)),x802),f6(f16(x803,x802),f5(x801,x804)))
% 1.43/1.52 [75]~E(x753,x755)+~E(x752,x754)+P8(f6(x751,f5(x752,x753)),x754,x755)
% 1.43/1.52 [85]E(x851,x852)+P8(x853,x854,x852)+~P8(f6(x853,f5(x855,x851)),x854,x852)
% 1.43/1.52 [86]E(x861,x862)+P8(x863,x862,x864)+~P8(f6(x863,f5(x861,x865)),x862,x864)
% 1.43/1.52 [95]~P1(x954,x953)+~P3(f19(x951,x952,x955))+P3(f19(x951,f6(x952,f5(x953,x954)),x955))
% 1.43/1.52 [96]~P1(x964,x965)+P3(f19(x961,x962,x963))+~P3(f19(x961,f6(x962,f5(x965,x964)),x963))
% 1.43/1.52 [89]~P4(x891,f14(x892))+E(x891,a1)+~P9(f14(x892),f15(x891,f14(x892)))+E(f8(f19(x892,x891,x893)),f19(x892,f4(x891,f14(x892)),a3))
% 1.43/1.52 [90]~P4(x901,f14(x902))+E(x901,a1)+~P1(f15(x901,f14(x902)),f14(x902))+E(f19(x902,f4(x901,f14(x902)),x903),f8(f19(x902,x901,x903)))
% 1.43/1.52 %EqnAxiom
% 1.43/1.52 [1]E(x11,x11)
% 1.43/1.52 [2]E(x22,x21)+~E(x21,x22)
% 1.43/1.52 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.43/1.52 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 1.43/1.52 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 1.43/1.52 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 1.43/1.52 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 1.43/1.52 [8]~E(x81,x82)+E(f6(x81,x83),f6(x82,x83))
% 1.43/1.52 [9]~E(x91,x92)+E(f6(x93,x91),f6(x93,x92))
% 1.43/1.52 [10]~E(x101,x102)+E(f19(x101,x103,x104),f19(x102,x103,x104))
% 1.43/1.52 [11]~E(x111,x112)+E(f19(x113,x111,x114),f19(x113,x112,x114))
% 1.43/1.52 [12]~E(x121,x122)+E(f19(x123,x124,x121),f19(x123,x124,x122))
% 1.43/1.52 [13]~E(x131,x132)+E(f16(x131,x133),f16(x132,x133))
% 1.43/1.52 [14]~E(x141,x142)+E(f16(x143,x141),f16(x143,x142))
% 1.43/1.52 [15]~E(x151,x152)+E(f15(x151,x153),f15(x152,x153))
% 1.43/1.52 [16]~E(x161,x162)+E(f15(x163,x161),f15(x163,x162))
% 1.43/1.52 [17]~E(x171,x172)+E(f14(x171),f14(x172))
% 1.43/1.52 [18]~E(x181,x182)+E(f17(x181,x183),f17(x182,x183))
% 1.43/1.52 [19]~E(x191,x192)+E(f17(x193,x191),f17(x193,x192))
% 1.43/1.52 [20]~E(x201,x202)+E(f8(x201),f8(x202))
% 1.43/1.52 [21]~E(x211,x212)+E(f18(x211,x213),f18(x212,x213))
% 1.43/1.52 [22]~E(x221,x222)+E(f18(x223,x221),f18(x223,x222))
% 1.43/1.52 [23]~E(x231,x232)+E(f7(x231),f7(x232))
% 1.43/1.52 [24]~E(x241,x242)+E(f13(x241,x243),f13(x242,x243))
% 1.43/1.52 [25]~E(x251,x252)+E(f13(x253,x251),f13(x253,x252))
% 1.43/1.52 [26]~E(x261,x262)+E(f12(x261,x263),f12(x262,x263))
% 1.43/1.52 [27]~E(x271,x272)+E(f12(x273,x271),f12(x273,x272))
% 1.43/1.52 [28]P1(x282,x283)+~E(x281,x282)+~P1(x281,x283)
% 1.43/1.52 [29]P1(x293,x292)+~E(x291,x292)+~P1(x293,x291)
% 1.43/1.52 [30]~P3(x301)+P3(x302)+~E(x301,x302)
% 1.43/1.52 [31]P6(x312,x313)+~E(x311,x312)+~P6(x311,x313)
% 1.43/1.52 [32]P6(x323,x322)+~E(x321,x322)+~P6(x323,x321)
% 1.43/1.52 [33]~P2(x331)+P2(x332)+~E(x331,x332)
% 1.43/1.52 [34]P4(x342,x343)+~E(x341,x342)+~P4(x341,x343)
% 1.43/1.52 [35]P4(x353,x352)+~E(x351,x352)+~P4(x353,x351)
% 1.43/1.52 [36]~P7(x361)+P7(x362)+~E(x361,x362)
% 1.43/1.52 [37]P9(x372,x373)+~E(x371,x372)+~P9(x371,x373)
% 1.43/1.52 [38]P9(x383,x382)+~E(x381,x382)+~P9(x383,x381)
% 1.43/1.52 [39]P5(x392,x393)+~E(x391,x392)+~P5(x391,x393)
% 1.43/1.52 [40]P5(x403,x402)+~E(x401,x402)+~P5(x403,x401)
% 1.43/1.52 [41]P8(x412,x413,x414)+~E(x411,x412)+~P8(x411,x413,x414)
% 1.43/1.52 [42]P8(x423,x422,x424)+~E(x421,x422)+~P8(x423,x421,x424)
% 1.43/1.52 [43]P8(x433,x434,x432)+~E(x431,x432)+~P8(x433,x434,x431)
% 1.43/1.52
% 1.43/1.52 %-------------------------------------------
% 1.43/1.53 cnf(97,plain,
% 1.43/1.53 (E(a1,f4(a1,x971))),
% 1.43/1.53 inference(scs_inference,[],[44,2])).
% 1.43/1.53 cnf(98,plain,
% 1.43/1.53 (~P9(x981,x981)),
% 1.43/1.53 inference(scs_inference,[],[46,44,2,64])).
% 1.43/1.53 cnf(100,plain,
% 1.43/1.53 (~E(a10,a1)),
% 1.43/1.53 inference(scs_inference,[],[54,46,44,2,64,91])).
% 1.43/1.53 cnf(102,plain,
% 1.43/1.53 (~P4(a10,f7(f19(a9,a10,a11)))),
% 1.43/1.53 inference(scs_inference,[],[54,46,60,44,2,64,91,76])).
% 1.43/1.53 cnf(104,plain,
% 1.43/1.53 (P4(a10,f14(a9))),
% 1.43/1.53 inference(scs_inference,[],[54,46,60,44,2,64,91,76,92])).
% 1.43/1.53 cnf(106,plain,
% 1.43/1.53 (P1(f15(a10,f14(a9)),f14(a9))),
% 1.43/1.53 inference(scs_inference,[],[54,46,60,44,2,64,91,76,92,93])).
% 1.43/1.53 cnf(109,plain,
% 1.43/1.53 (E(f8(f19(x1091,a1,x1092)),f19(x1091,a1,a3))),
% 1.43/1.53 inference(rename_variables,[],[53])).
% 1.43/1.53 cnf(111,plain,
% 1.43/1.53 (~E(f14(a9),f7(f19(a9,a10,a11)))),
% 1.43/1.53 inference(scs_inference,[],[54,46,60,44,59,53,2,64,91,76,92,93,36,35])).
% 1.43/1.53 cnf(115,plain,
% 1.43/1.53 (P1(f4(a1,x1151),a1)),
% 1.43/1.53 inference(scs_inference,[],[54,46,47,56,60,44,59,53,2,64,91,76,92,93,36,35,33,32,31,29])).
% 1.43/1.53 cnf(116,plain,
% 1.43/1.53 (P1(x1161,x1161)),
% 1.43/1.53 inference(rename_variables,[],[46])).
% 1.43/1.53 cnf(117,plain,
% 1.43/1.53 (P1(a1,f4(a1,x1171))),
% 1.43/1.53 inference(scs_inference,[],[54,46,116,47,56,60,44,59,53,2,64,91,76,92,93,36,35,33,32,31,29,28])).
% 1.43/1.53 cnf(118,plain,
% 1.43/1.53 (P1(x1181,x1181)),
% 1.43/1.53 inference(rename_variables,[],[46])).
% 1.43/1.53 cnf(119,plain,
% 1.43/1.53 (~E(a10,f4(a1,x1191))),
% 1.43/1.53 inference(scs_inference,[],[54,46,116,47,56,60,44,59,53,2,64,91,76,92,93,36,35,33,32,31,29,28,3])).
% 1.43/1.53 cnf(120,plain,
% 1.43/1.53 (~P5(f19(x1201,a1,x1202),x1203)),
% 1.43/1.53 inference(scs_inference,[],[54,46,116,47,57,56,60,44,59,53,2,64,91,76,92,93,36,35,33,32,31,29,28,3,82])).
% 1.43/1.53 cnf(122,plain,
% 1.43/1.53 (E(f7(f19(x1221,a10,x1222)),f14(x1221))),
% 1.43/1.53 inference(scs_inference,[],[54,46,116,47,57,56,60,44,59,53,2,64,91,76,92,93,36,35,33,32,31,29,28,3,82,73])).
% 1.43/1.53 cnf(124,plain,
% 1.43/1.53 (P4(f6(a10,f5(x1241,x1242)),f14(a9))),
% 1.43/1.53 inference(scs_inference,[],[54,46,116,47,57,56,60,44,59,53,2,64,91,76,92,93,36,35,33,32,31,29,28,3,82,73,72])).
% 1.43/1.53 cnf(126,plain,
% 1.43/1.53 (P4(f6(x1261,f5(f4(a1,x1262),x1263)),a1)),
% 1.43/1.53 inference(scs_inference,[],[54,46,116,47,57,56,60,44,59,53,2,64,91,76,92,93,36,35,33,32,31,29,28,3,82,73,72,70])).
% 1.43/1.53 cnf(145,plain,
% 1.43/1.53 (E(f15(x1451,f4(a1,x1452)),f15(x1451,a1))),
% 1.43/1.53 inference(scs_inference,[],[54,46,116,47,57,56,60,44,59,53,2,64,91,76,92,93,36,35,33,32,31,29,28,3,82,73,72,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16])).
% 1.43/1.53 cnf(147,plain,
% 1.43/1.53 (E(f16(x1471,f4(a1,x1472)),f16(x1471,a1))),
% 1.43/1.53 inference(scs_inference,[],[54,46,116,47,57,56,60,44,59,53,2,64,91,76,92,93,36,35,33,32,31,29,28,3,82,73,72,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14])).
% 1.43/1.53 cnf(150,plain,
% 1.43/1.53 (E(f19(x1501,f4(a1,x1502),x1503),f19(x1501,a1,x1503))),
% 1.43/1.53 inference(scs_inference,[],[54,46,116,47,57,56,60,44,59,53,2,64,91,76,92,93,36,35,33,32,31,29,28,3,82,73,72,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11])).
% 1.43/1.53 cnf(160,plain,
% 1.43/1.53 (E(f17(f19(x1601,a1,x1602),x1603),f19(x1601,a1,a3))),
% 1.43/1.53 inference(scs_inference,[],[54,46,116,47,57,56,60,44,59,53,2,64,91,76,92,93,36,35,33,32,31,29,28,3,82,73,72,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,69,81])).
% 1.43/1.53 cnf(164,plain,
% 1.43/1.53 (~P8(f4(a1,x1641),x1642,x1643)),
% 1.43/1.53 inference(scs_inference,[],[54,46,116,118,47,58,57,56,60,44,59,53,2,64,91,76,92,93,36,35,33,32,31,29,28,3,82,73,72,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,69,81,78,41])).
% 1.43/1.53 cnf(165,plain,
% 1.43/1.53 (~P5(f19(a9,a10,a11),f16(f6(f7(f19(a9,a10,a11)),f5(x1651,x1652)),x1651))),
% 1.43/1.53 inference(scs_inference,[],[54,46,116,118,47,58,57,56,60,44,59,53,49,2,64,91,76,92,93,36,35,33,32,31,29,28,3,82,73,72,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,69,81,78,41,40])).
% 1.43/1.53 cnf(166,plain,
% 1.43/1.53 (~P5(f8(f19(x1661,a1,x1662)),x1663)),
% 1.43/1.53 inference(scs_inference,[],[54,46,116,118,47,58,57,56,60,44,59,53,109,49,2,64,91,76,92,93,36,35,33,32,31,29,28,3,82,73,72,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,69,81,78,41,40,39])).
% 1.43/1.53 cnf(167,plain,
% 1.43/1.53 (~P4(f4(a1,x1671),x1672)),
% 1.43/1.53 inference(scs_inference,[],[54,46,116,118,47,58,57,56,60,44,59,53,109,49,2,64,91,76,92,93,36,35,33,32,31,29,28,3,82,73,72,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,69,81,78,41,40,39,34])).
% 1.43/1.53 cnf(168,plain,
% 1.43/1.53 (~P8(f6(a1,f5(a10,x1681)),a1,x1682)),
% 1.43/1.53 inference(scs_inference,[],[54,46,116,118,47,58,57,56,60,44,59,53,109,49,2,64,91,76,92,93,36,35,33,32,31,29,28,3,82,73,72,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,69,81,78,41,40,39,34,86])).
% 1.43/1.53 cnf(169,plain,
% 1.43/1.53 (~P8(a1,x1691,x1692)),
% 1.43/1.53 inference(rename_variables,[],[58])).
% 1.43/1.53 cnf(171,plain,
% 1.43/1.53 (~P8(f6(a1,f5(x1711,a10)),x1712,a1)),
% 1.43/1.53 inference(scs_inference,[],[54,46,116,118,47,58,169,57,56,60,44,59,53,109,49,2,64,91,76,92,93,36,35,33,32,31,29,28,3,82,73,72,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,69,81,78,41,40,39,34,86,85])).
% 1.43/1.53 cnf(174,plain,
% 1.43/1.53 (~P4(f6(a1,f5(a10,x1741)),a1)),
% 1.43/1.53 inference(scs_inference,[],[54,46,116,118,47,58,169,57,56,60,44,59,53,109,49,2,64,91,76,92,93,36,35,33,32,31,29,28,3,82,73,72,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,69,81,78,41,40,39,34,86,85,77])).
% 1.43/1.53 cnf(177,plain,
% 1.43/1.53 (P8(f6(x1771,f5(f4(a1,x1772),f4(a1,x1772))),a1,a1)),
% 1.43/1.53 inference(scs_inference,[],[54,46,116,118,47,58,169,57,56,60,44,59,53,109,49,2,64,91,76,92,93,36,35,33,32,31,29,28,3,82,73,72,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,69,81,78,41,40,39,34,86,85,77,75])).
% 1.43/1.53 cnf(181,plain,
% 1.43/1.53 (P3(f19(x1811,f6(a1,f5(x1812,x1812)),x1813))),
% 1.43/1.53 inference(scs_inference,[],[54,46,116,118,47,58,169,57,56,60,44,52,59,53,109,49,2,64,91,76,92,93,36,35,33,32,31,29,28,3,82,73,72,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,69,81,78,41,40,39,34,86,85,77,75,74,95])).
% 1.43/1.53 cnf(187,plain,
% 1.43/1.53 (P8(f6(x1871,f5(f4(a1,x1872),f4(a1,x1872))),a1,f4(a1,x1872))),
% 1.43/1.53 inference(scs_inference,[],[54,46,116,118,47,58,169,57,56,60,44,52,59,53,109,49,2,64,91,76,92,93,36,35,33,32,31,29,28,3,82,73,72,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,69,81,78,41,40,39,34,86,85,77,75,74,95,88,90,43])).
% 1.43/1.53 cnf(188,plain,
% 1.43/1.53 (P8(f6(x1881,f5(f4(a1,x1882),f4(a1,x1882))),f4(a1,x1882),a1)),
% 1.43/1.53 inference(scs_inference,[],[54,46,116,118,47,58,169,57,56,60,44,52,59,53,109,49,2,64,91,76,92,93,36,35,33,32,31,29,28,3,82,73,72,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,69,81,78,41,40,39,34,86,85,77,75,74,95,88,90,43,42])).
% 1.43/1.53 cnf(189,plain,
% 1.43/1.53 (~P9(x1891,f4(a1,x1892))+P9(x1891,a1)),
% 1.43/1.53 inference(scs_inference,[],[54,46,116,118,47,58,169,57,56,60,44,52,59,53,109,49,2,64,91,76,92,93,36,35,33,32,31,29,28,3,82,73,72,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,69,81,78,41,40,39,34,86,85,77,75,74,95,88,90,43,42,38])).
% 1.43/1.53 cnf(200,plain,
% 1.43/1.53 (~P9(x2001,x2001)),
% 1.43/1.53 inference(rename_variables,[],[98])).
% 1.43/1.53 cnf(201,plain,
% 1.43/1.53 (P8(f6(f6(x2011,f5(f4(a1,x2012),f4(a1,x2012))),f5(x2013,x2014)),a1,f4(a1,x2012))),
% 1.43/1.53 inference(scs_inference,[],[98,187,189,83])).
% 1.43/1.53 cnf(204,plain,
% 1.43/1.53 (E(f19(f12(x2041,x2042),f6(x2043,f5(x2042,a2)),x2044),f13(f19(x2041,x2043,x2044),x2042))),
% 1.43/1.53 inference(rename_variables,[],[55])).
% 1.43/1.53 cnf(206,plain,
% 1.43/1.53 (P5(f19(x2061,f6(a10,f5(x2062,x2063)),x2064),f14(a9))),
% 1.43/1.53 inference(scs_inference,[],[55,98,181,187,124,189,83,30,76])).
% 1.43/1.53 cnf(213,plain,
% 1.43/1.53 (~P8(f15(f6(x2131,f5(x2132,a1)),x2132),x2133,x2134)),
% 1.43/1.53 inference(scs_inference,[],[50,55,58,98,181,167,111,187,124,102,189,83,30,76,92,77,41])).
% 1.43/1.53 cnf(214,plain,
% 1.43/1.53 (E(f15(f6(x2141,f5(x2142,x2143)),x2142),x2143)),
% 1.43/1.53 inference(rename_variables,[],[50])).
% 1.43/1.53 cnf(215,plain,
% 1.43/1.53 (~P5(f19(a9,a10,a11),f16(f6(f7(f19(a9,a10,a11)),f5(a1,x2151)),f4(a1,x2152)))),
% 1.43/1.53 inference(scs_inference,[],[50,55,58,98,165,181,167,147,111,187,124,102,189,83,30,76,92,77,41,40])).
% 1.43/1.53 cnf(218,plain,
% 1.43/1.53 (P5(f13(f19(x2181,a10,x2182),x2183),f14(a9))),
% 1.43/1.53 inference(scs_inference,[],[50,55,204,58,98,165,181,167,147,111,187,124,102,189,83,30,76,92,77,41,40,39])).
% 1.43/1.53 cnf(220,plain,
% 1.43/1.53 (~E(f8(f19(a9,a10,a11)),f19(x2201,x2202,a3))),
% 1.43/1.53 inference(scs_inference,[],[54,50,55,204,59,58,98,165,181,167,147,111,187,124,102,189,83,30,76,92,77,41,40,39,36])).
% 1.43/1.53 cnf(222,plain,
% 1.43/1.53 (E(f15(f6(x2221,f5(x2222,x2223)),x2222),x2223)),
% 1.43/1.53 inference(rename_variables,[],[50])).
% 1.43/1.53 cnf(223,plain,
% 1.43/1.53 (~E(f6(x2231,f5(x2232,x2233)),a1)),
% 1.43/1.53 inference(scs_inference,[],[54,48,50,214,55,204,56,59,58,98,165,181,167,147,111,187,124,102,174,189,83,30,76,92,77,41,40,39,36,35,33])).
% 1.43/1.53 cnf(225,plain,
% 1.43/1.53 (P3(f19(x2251,f6(a1,f5(x2252,a2)),x2253))),
% 1.43/1.53 inference(scs_inference,[],[54,48,50,214,55,204,45,56,52,59,58,98,165,181,167,147,111,187,124,102,97,174,189,83,30,76,92,77,41,40,39,36,35,33,42,95])).
% 1.43/1.53 cnf(227,plain,
% 1.43/1.53 (~E(a1,a10)),
% 1.43/1.53 inference(scs_inference,[],[54,48,50,214,55,204,45,56,52,59,58,98,165,181,100,167,147,111,187,124,102,97,174,189,83,30,76,92,77,41,40,39,36,35,33,42,95,2])).
% 1.43/1.53 cnf(229,plain,
% 1.43/1.53 (E(f15(f6(x2291,f5(x2292,x2293)),x2292),x2293)),
% 1.43/1.53 inference(rename_variables,[],[50])).
% 1.43/1.53 cnf(232,plain,
% 1.43/1.53 (E(f15(f6(x2321,f5(x2322,x2323)),x2322),x2323)),
% 1.43/1.53 inference(rename_variables,[],[50])).
% 1.43/1.53 cnf(233,plain,
% 1.43/1.53 (~P9(x2331,a2)),
% 1.43/1.53 inference(scs_inference,[],[54,48,50,214,222,229,55,204,45,56,52,59,58,57,98,165,181,100,167,147,111,187,188,124,102,97,174,189,83,30,76,92,77,41,40,39,36,35,33,42,95,2,3,43,34,94])).
% 1.43/1.53 cnf(237,plain,
% 1.43/1.53 (~P9(f14(a9),f15(a10,f14(a9)))),
% 1.43/1.53 inference(scs_inference,[],[54,48,50,214,222,229,55,204,45,56,52,59,58,57,98,165,181,100,167,147,111,187,188,124,102,97,174,104,189,83,30,76,92,77,41,40,39,36,35,33,42,95,2,3,43,34,94,80,89])).
% 1.43/1.53 cnf(239,plain,
% 1.43/1.53 (~P9(f15(f6(x2391,f5(x2392,x2393)),x2392),x2393)),
% 1.43/1.53 inference(scs_inference,[],[54,48,50,214,222,229,232,55,204,45,56,52,59,58,57,98,200,165,181,100,167,147,111,187,188,124,102,97,174,104,189,83,30,76,92,77,41,40,39,36,35,33,42,95,2,3,43,34,94,80,89,37])).
% 1.43/1.53 cnf(240,plain,
% 1.43/1.53 (P6(f15(f6(x2401,f5(x2402,x2403)),x2402),x2403)),
% 1.43/1.53 inference(scs_inference,[],[54,48,50,214,222,229,232,55,204,45,56,52,59,58,57,47,98,200,165,181,100,167,147,111,187,188,124,102,97,174,104,189,83,30,76,92,77,41,40,39,36,35,33,42,95,2,3,43,34,94,80,89,37,32])).
% 1.43/1.53 cnf(241,plain,
% 1.43/1.53 (P6(x2411,x2411)),
% 1.43/1.53 inference(rename_variables,[],[47])).
% 1.43/1.53 cnf(244,plain,
% 1.43/1.53 (E(f4(a1,x2441),f4(a1,x2442))),
% 1.43/1.53 inference(scs_inference,[],[54,48,50,214,222,229,232,55,204,45,56,52,59,46,58,57,47,98,200,165,181,100,167,147,111,187,188,124,102,97,174,104,189,83,30,76,92,77,41,40,39,36,35,33,42,95,2,3,43,34,94,80,89,37,32,28,86])).
% 1.43/1.53 cnf(246,plain,
% 1.43/1.53 (~P9(x2461,f15(f6(x2462,f5(x2463,x2461)),x2463))),
% 1.43/1.53 inference(scs_inference,[],[54,48,50,214,222,229,232,55,204,45,56,52,59,46,58,57,47,98,200,165,181,100,167,147,111,187,188,124,102,97,174,104,189,83,30,76,92,77,41,40,39,36,35,33,42,95,2,3,43,34,94,80,89,37,32,28,86,38])).
% 1.43/1.53 cnf(249,plain,
% 1.43/1.53 (~P4(x2491,f4(a1,x2492))+E(f15(f6(x2491,f5(a10,x2493)),f4(a1,x2492)),f15(x2491,f4(a1,x2492)))),
% 1.43/1.53 inference(scs_inference,[],[54,48,50,214,222,229,232,55,204,45,56,52,59,46,58,57,47,241,98,200,165,181,100,167,147,111,187,188,124,102,97,119,174,104,189,83,30,76,92,77,41,40,39,36,35,33,42,95,2,3,43,34,94,80,89,37,32,28,86,38,31,74])).
% 1.43/1.53 cnf(255,plain,
% 1.43/1.53 (~P4(a10,f16(f6(f7(f19(a9,a10,a11)),f5(a1,x2551)),f4(a1,x2552)))),
% 1.43/1.53 inference(scs_inference,[],[215,76])).
% 1.43/1.53 cnf(260,plain,
% 1.43/1.53 (~E(f19(x2601,f6(a10,f5(x2602,x2603)),x2604),f8(f19(x2605,a1,x2606)))),
% 1.43/1.53 inference(scs_inference,[],[55,166,225,215,206,76,30,39])).
% 1.43/1.53 cnf(262,plain,
% 1.43/1.53 (~P2(f15(f6(x2621,f5(x2622,a1)),x2622))),
% 1.43/1.53 inference(scs_inference,[],[50,55,56,166,225,215,206,76,30,39,33])).
% 1.43/1.53 cnf(263,plain,
% 1.43/1.53 (P4(f6(f6(x2631,f5(f4(a1,x2632),x2633)),f5(x2634,x2635)),a1)),
% 1.43/1.53 inference(scs_inference,[],[50,55,56,166,225,215,206,126,76,30,39,33,72])).
% 1.43/1.53 cnf(265,plain,
% 1.43/1.53 (~P8(f6(a1,f5(a10,x2651)),f15(f6(x2652,f5(x2653,a1)),x2653),x2654)),
% 1.43/1.53 inference(scs_inference,[],[50,55,56,166,225,215,206,126,168,76,30,39,33,72,42])).
% 1.43/1.53 cnf(268,plain,
% 1.43/1.53 (E(f19(x2681,a1,a3),f8(f19(x2681,a1,x2682)))),
% 1.43/1.53 inference(scs_inference,[],[53,50,55,56,97,166,225,215,206,126,168,76,30,39,33,72,42,35,2])).
% 1.43/1.53 cnf(282,plain,
% 1.43/1.53 (~P7(f16(f6(f19(x2821,x2822,a3),f5(x2823,x2824)),x2823))),
% 1.43/1.53 inference(scs_inference,[],[49,59,36])).
% 1.43/1.53 cnf(283,plain,
% 1.43/1.53 (E(f16(f6(x2831,f5(x2832,x2833)),x2832),x2831)),
% 1.43/1.53 inference(rename_variables,[],[49])).
% 1.43/1.53 cnf(284,plain,
% 1.43/1.53 (~P5(f19(x2841,a10,x2842),f16(f6(f7(f19(a9,a10,a11)),f5(a1,x2843)),f4(a1,x2844)))),
% 1.43/1.53 inference(scs_inference,[],[49,59,255,36,82])).
% 1.43/1.53 cnf(286,plain,
% 1.43/1.53 (P5(f19(x2861,a10,x2862),f14(a9))),
% 1.43/1.53 inference(scs_inference,[],[49,59,255,104,36,82,76])).
% 1.43/1.53 cnf(288,plain,
% 1.43/1.53 (~P8(f6(a1,f5(a1,x2881)),a10,x2882)),
% 1.43/1.53 inference(scs_inference,[],[49,59,58,255,227,104,36,82,76,86])).
% 1.43/1.53 cnf(291,plain,
% 1.43/1.53 (~P2(f16(f6(a1,f5(x2911,x2912)),x2911))),
% 1.43/1.53 inference(scs_inference,[],[49,283,59,56,58,255,227,104,36,82,76,86,33])).
% 1.43/1.53 cnf(292,plain,
% 1.43/1.53 (E(f16(f6(x2921,f5(x2922,x2923)),x2922),x2921)),
% 1.43/1.53 inference(rename_variables,[],[49])).
% 1.43/1.53 cnf(294,plain,
% 1.43/1.53 (E(f16(f6(x2941,f5(x2942,x2943)),x2942),x2941)),
% 1.43/1.53 inference(rename_variables,[],[49])).
% 1.43/1.53 cnf(295,plain,
% 1.43/1.53 (P8(f6(f6(x2951,f5(f4(a1,x2952),f4(a1,x2952))),f5(x2953,x2954)),f4(a1,x2955),f4(a1,x2952))),
% 1.43/1.53 inference(scs_inference,[],[60,49,283,292,59,56,97,58,255,227,201,104,36,82,76,86,33,39,42])).
% 1.43/1.53 cnf(297,plain,
% 1.43/1.53 (~E(f8(f19(x2971,a1,x2972)),f19(x2973,f6(a10,f5(x2974,x2975)),x2976))),
% 1.43/1.53 inference(scs_inference,[],[60,49,283,292,59,56,97,58,260,263,255,227,201,104,36,82,76,86,33,39,42,35,2])).
% 1.43/1.53 cnf(300,plain,
% 1.43/1.53 (P8(f6(x3001,f5(f4(a1,x3002),f4(a1,x3002))),a1,f4(a1,x3003))),
% 1.43/1.53 inference(scs_inference,[],[60,51,49,283,292,294,59,56,97,58,260,263,255,227,201,177,104,36,82,76,86,33,39,42,35,2,3,43])).
% 1.43/1.53 cnf(301,plain,
% 1.43/1.53 (~P4(a10,f16(f6(f7(f19(a9,a10,a11)),f5(x3011,x3012)),x3011))),
% 1.43/1.53 inference(scs_inference,[],[165,76])).
% 1.43/1.53 cnf(303,plain,
% 1.43/1.53 (~P7(f17(f19(x3031,a1,x3032),x3033))),
% 1.43/1.53 inference(scs_inference,[],[59,160,165,76,36])).
% 1.43/1.53 cnf(306,plain,
% 1.43/1.53 (P8(f6(x3061,f5(f4(a1,x3062),f4(a1,x3062))),f4(a1,x3063),f4(a1,x3064))),
% 1.43/1.53 inference(scs_inference,[],[59,97,300,160,165,76,36,42])).
% 1.43/1.53 cnf(307,plain,
% 1.43/1.53 (~P4(f6(a1,f5(a10,x3071)),f4(a1,x3072))),
% 1.43/1.53 inference(scs_inference,[],[44,59,97,300,160,165,174,76,36,42,35])).
% 1.43/1.53 cnf(308,plain,
% 1.43/1.53 (~P5(f19(x3081,f4(a1,x3082),x3083),x3084)),
% 1.43/1.53 inference(scs_inference,[],[44,59,97,120,300,150,160,165,174,76,36,42,35,39])).
% 1.43/1.53 cnf(310,plain,
% 1.43/1.53 (E(f13(f19(x3101,x3102,x3103),x3104),f19(f12(x3101,x3104),f6(x3102,f5(x3104,a2)),x3103))),
% 1.43/1.53 inference(scs_inference,[],[44,55,59,97,120,300,150,160,165,174,76,36,42,35,39,2])).
% 1.43/1.53 cnf(311,plain,
% 1.43/1.53 (~E(f19(x3111,a1,a3),f19(x3112,f6(a10,f5(x3113,x3114)),x3115))),
% 1.43/1.53 inference(scs_inference,[],[44,55,59,53,97,297,120,300,150,160,165,174,76,36,42,35,39,2,3])).
% 1.43/1.53 cnf(315,plain,
% 1.43/1.53 (P6(x3151,f17(x3151,x3152))),
% 1.43/1.53 inference(scs_inference,[],[44,55,59,53,97,47,297,120,295,300,150,160,165,174,76,36,42,35,39,2,3,43,68])).
% 1.43/1.53 cnf(317,plain,
% 1.43/1.53 (P6(x3171,f17(f8(x3171),f7(x3171)))),
% 1.43/1.53 inference(scs_inference,[],[44,55,59,53,97,47,297,120,295,300,150,160,165,174,76,36,42,35,39,2,3,43,68,69])).
% 1.43/1.53 cnf(319,plain,
% 1.43/1.53 (E(f17(f19(x3191,a10,x3192),f7(f19(a9,a10,a11))),f19(x3191,a10,a3))),
% 1.43/1.53 inference(scs_inference,[],[44,55,59,53,97,47,297,120,295,300,150,160,102,165,174,76,36,42,35,39,2,3,43,68,69,81])).
% 1.43/1.53 cnf(321,plain,
% 1.43/1.53 (~P9(f4(a1,x3211),a1)),
% 1.43/1.53 inference(scs_inference,[],[44,55,59,53,97,47,297,120,295,300,117,150,160,102,165,174,76,36,42,35,39,2,3,43,68,69,81,64])).
% 1.43/1.53 cnf(323,plain,
% 1.43/1.53 (P4(f6(x3231,f5(a1,x3232)),f4(a1,x3233))),
% 1.43/1.53 inference(scs_inference,[],[44,55,59,53,97,47,297,120,295,300,117,150,160,102,165,174,76,36,42,35,39,2,3,43,68,69,81,64,70])).
% 1.43/1.53 cnf(327,plain,
% 1.43/1.53 (P6(x3271,f8(x3271))),
% 1.43/1.53 inference(scs_inference,[],[44,55,59,53,97,47,297,120,295,300,117,150,160,102,165,174,76,36,42,35,39,2,3,43,68,69,81,64,70,67,63])).
% 1.43/1.53 cnf(333,plain,
% 1.43/1.53 (E(f16(x3331,f7(f19(x3332,a1,x3333))),f16(x3331,a2))),
% 1.43/1.53 inference(scs_inference,[],[44,55,51,59,53,97,47,297,120,295,300,117,150,160,102,165,174,76,36,42,35,39,2,3,43,68,69,81,64,70,67,63,24,21,18,17,14])).
% 1.43/1.53 cnf(344,plain,
% 1.43/1.53 (E(f17(x3441,f7(f19(x3442,a1,x3443))),f17(x3441,a2))),
% 1.43/1.53 inference(scs_inference,[],[44,55,45,51,59,53,97,47,297,120,295,300,117,150,160,102,165,174,76,36,42,35,39,2,3,43,68,69,81,64,70,67,63,24,21,18,17,14,12,4,78,27,26,25,23,22,20,19])).
% 1.43/1.53 cnf(345,plain,
% 1.43/1.53 (E(f15(x3451,f7(f19(x3452,a1,x3453))),f15(x3451,a2))),
% 1.43/1.53 inference(scs_inference,[],[44,55,45,51,59,53,97,47,297,120,295,300,117,150,160,102,165,174,76,36,42,35,39,2,3,43,68,69,81,64,70,67,63,24,21,18,17,14,12,4,78,27,26,25,23,22,20,19,16])).
% 1.43/1.53 cnf(354,plain,
% 1.43/1.53 (E(f4(x3541,f7(f19(x3542,a1,x3543))),f4(x3541,a2))),
% 1.43/1.53 inference(scs_inference,[],[44,55,45,51,59,53,97,47,297,120,295,300,117,150,160,102,165,174,76,36,42,35,39,2,3,43,68,69,81,64,70,67,63,24,21,18,17,14,12,4,78,27,26,25,23,22,20,19,16,15,13,11,10,9,8,7,6,5])).
% 1.43/1.54 cnf(357,plain,
% 1.43/1.54 (P5(f13(f19(x3571,a10,x3572),x3573),x3574)+~E(f14(a9),x3574)),
% 1.43/1.54 inference(scs_inference,[],[44,55,45,51,59,53,97,47,297,120,295,218,300,223,117,150,160,102,165,174,76,36,42,35,39,2,3,43,68,69,81,64,70,67,63,24,21,18,17,14,12,4,78,27,26,25,23,22,20,19,16,15,13,11,10,9,8,7,6,5,85,40])).
% 1.43/1.54 cnf(358,plain,
% 1.43/1.54 (~E(f6(x3581,f5(x3582,x3583)),f15(f6(x3584,f5(x3585,a1)),x3585))),
% 1.43/1.54 inference(scs_inference,[],[44,48,55,45,51,59,53,97,47,262,297,120,295,218,300,223,117,150,160,102,165,174,76,36,42,35,39,2,3,43,68,69,81,64,70,67,63,24,21,18,17,14,12,4,78,27,26,25,23,22,20,19,16,15,13,11,10,9,8,7,6,5,85,40,33])).
% 1.43/1.54 cnf(363,plain,
% 1.43/1.54 (~P8(f6(f6(a1,f5(a1,x3631)),f5(a1,x3632)),a10,x3633)),
% 1.43/1.54 inference(scs_inference,[],[44,48,55,45,51,46,59,53,97,47,262,297,120,295,218,300,288,223,117,150,160,102,165,227,174,76,36,42,35,39,2,3,43,68,69,81,64,70,67,63,24,21,18,17,14,12,4,78,27,26,25,23,22,20,19,16,15,13,11,10,9,8,7,6,5,85,40,33,249,29,86])).
% 1.43/1.54 cnf(368,plain,
% 1.43/1.54 (P1(a2,x3681)),
% 1.43/1.54 inference(rename_variables,[],[45])).
% 1.43/1.54 cnf(370,plain,
% 1.43/1.54 (~P9(f16(f6(x3701,f5(x3702,x3703)),x3702),x3701)),
% 1.43/1.54 inference(scs_inference,[],[98,49,45,246,65,37])).
% 1.43/1.54 cnf(371,plain,
% 1.43/1.54 (E(f16(f6(x3711,f5(x3712,x3713)),x3712),x3711)),
% 1.43/1.54 inference(rename_variables,[],[49])).
% 1.43/1.54 cnf(373,plain,
% 1.43/1.54 (P6(x3731,f17(f8(x3731),f7(x3731)))),
% 1.43/1.54 inference(rename_variables,[],[317])).
% 1.43/1.54 cnf(377,plain,
% 1.43/1.54 (E(f16(f6(x3771,f5(x3772,x3773)),x3772),x3771)),
% 1.43/1.54 inference(rename_variables,[],[49])).
% 1.43/1.54 cnf(378,plain,
% 1.43/1.54 (P6(a1,f17(f8(f4(a1,x3781)),f7(f4(a1,x3781))))),
% 1.43/1.54 inference(scs_inference,[],[44,98,49,371,45,97,317,373,246,344,117,65,37,32,28,38,31])).
% 1.43/1.54 cnf(384,plain,
% 1.43/1.54 (P5(f19(x3841,f6(x3842,f5(a1,x3843)),x3844),f4(a1,x3845))),
% 1.43/1.54 inference(scs_inference,[],[44,98,49,371,45,58,97,317,373,246,344,323,311,111,117,65,37,32,28,38,31,11,85,76])).
% 1.43/1.54 cnf(386,plain,
% 1.43/1.54 (P4(f6(x3861,f5(a1,x3862)),a1)),
% 1.43/1.54 inference(scs_inference,[],[44,98,49,371,45,58,97,317,373,246,344,323,311,111,117,65,37,32,28,38,31,11,85,76,35])).
% 1.43/1.54 cnf(387,plain,
% 1.43/1.54 (E(f4(a1,x3871),a1)),
% 1.43/1.54 inference(rename_variables,[],[44])).
% 1.43/1.54 cnf(388,plain,
% 1.43/1.54 (E(f16(f6(f4(a1,x3881),f5(x3882,x3883)),x3882),a1)),
% 1.43/1.54 inference(scs_inference,[],[44,387,98,49,371,377,45,58,97,317,373,246,344,323,311,111,117,65,37,32,28,38,31,11,85,76,35,3])).
% 1.43/1.54 cnf(389,plain,
% 1.43/1.54 (E(f16(f6(x3891,f5(x3892,x3893)),x3892),x3891)),
% 1.43/1.54 inference(rename_variables,[],[49])).
% 1.43/1.54 cnf(390,plain,
% 1.43/1.54 (~E(f19(x3901,a10,x3902),f19(x3903,f4(a1,x3904),x3905))),
% 1.43/1.54 inference(scs_inference,[],[44,387,98,49,371,377,45,58,97,317,373,246,308,344,323,311,286,111,117,65,37,32,28,38,31,11,85,76,35,3,39])).
% 1.43/1.54 cnf(391,plain,
% 1.43/1.54 (~P8(f6(f6(a1,f5(a1,x3911)),f5(a1,x3912)),f16(f6(a10,f5(x3913,x3914)),x3913),x3915)),
% 1.43/1.54 inference(scs_inference,[],[44,387,98,49,371,377,389,45,58,97,317,373,246,308,344,323,311,363,286,111,117,65,37,32,28,38,31,11,85,76,35,3,39,42])).
% 1.43/1.54 cnf(392,plain,
% 1.43/1.54 (E(f16(f6(x3921,f5(x3922,x3923)),x3922),x3921)),
% 1.43/1.54 inference(rename_variables,[],[49])).
% 1.43/1.54 cnf(393,plain,
% 1.43/1.54 (~E(f15(f6(x3931,f5(x3932,a1)),x3932),f6(x3933,f5(x3934,x3935)))),
% 1.43/1.54 inference(scs_inference,[],[44,387,98,49,371,377,389,45,58,97,317,373,246,358,308,344,323,311,363,286,111,117,65,37,32,28,38,31,11,85,76,35,3,39,42,2])).
% 1.43/1.54 cnf(394,plain,
% 1.43/1.54 (~P8(f6(a1,f5(x3941,a10)),x3942,f4(a1,x3943))),
% 1.43/1.54 inference(scs_inference,[],[44,387,98,49,371,377,389,45,58,97,317,373,246,358,308,344,323,311,363,286,111,117,171,65,37,32,28,38,31,11,85,76,35,3,39,42,2,43])).
% 1.43/1.54 cnf(397,plain,
% 1.43/1.54 (P8(f6(f6(x3971,f5(f4(a1,x3972),f4(a1,x3972))),f5(x3973,x3974)),f4(a1,x3975),f4(a1,x3976))),
% 1.43/1.54 inference(scs_inference,[],[44,387,98,49,371,377,389,45,368,58,97,317,373,246,358,308,344,323,306,311,363,286,111,117,171,65,37,32,28,38,31,11,85,76,35,3,39,42,2,43,66,83])).
% 1.43/1.54 cnf(399,plain,
% 1.43/1.54 (~E(a1,f16(f6(a10,f5(x3991,x3992)),x3991))),
% 1.43/1.54 inference(scs_inference,[],[44,387,98,49,371,377,389,45,368,58,97,317,373,246,358,308,344,323,306,311,363,286,111,117,171,65,37,32,28,38,31,11,85,76,35,3,39,42,2,43,66,83,75])).
% 1.43/1.54 cnf(407,plain,
% 1.43/1.54 (~P8(f16(f6(f4(a1,x4071),f5(x4072,x4073)),x4072),x4074,x4075)),
% 1.43/1.54 inference(scs_inference,[],[44,387,98,49,371,377,389,392,45,368,57,58,97,317,373,239,246,358,308,344,323,306,311,363,164,286,111,181,117,171,65,37,32,28,38,31,11,85,76,35,3,39,42,2,43,66,83,75,189,77,95,41])).
% 1.43/1.54 cnf(408,plain,
% 1.43/1.54 (E(f16(f6(x4081,f5(x4082,x4083)),x4082),x4081)),
% 1.43/1.54 inference(rename_variables,[],[49])).
% 1.43/1.54 cnf(413,plain,
% 1.43/1.54 (~P5(f19(x4131,f6(a1,f5(a10,x4132)),x4133),f4(a1,x4134))),
% 1.43/1.54 inference(scs_inference,[],[44,387,98,49,371,377,389,392,408,45,368,57,58,97,317,373,239,246,358,308,344,323,306,311,307,363,164,286,111,181,117,171,124,65,37,32,28,38,31,11,85,76,35,3,39,42,2,43,66,83,75,189,77,95,41,34,74,82])).
% 1.43/1.54 cnf(415,plain,
% 1.43/1.54 (P4(f6(f6(x4151,f5(a1,x4152)),f5(x4153,x4154)),f4(a1,x4155))),
% 1.43/1.54 inference(scs_inference,[],[44,387,98,49,371,377,389,392,408,45,368,57,58,97,317,373,239,246,358,308,344,323,306,311,307,363,164,286,111,181,117,171,124,65,37,32,28,38,31,11,85,76,35,3,39,42,2,43,66,83,75,189,77,95,41,34,74,82,72])).
% 1.43/1.54 cnf(417,plain,
% 1.43/1.54 (P8(f6(x4171,f5(a1,a1)),f4(a1,x4172),f4(a1,x4172))),
% 1.43/1.54 inference(scs_inference,[],[97,75])).
% 1.43/1.54 cnf(419,plain,
% 1.43/1.54 (~P8(f6(a1,f5(a1,x4191)),f16(f6(a10,f5(x4192,x4193)),x4192),x4194)),
% 1.43/1.54 inference(scs_inference,[],[97,391,75,83])).
% 1.43/1.54 cnf(424,plain,
% 1.43/1.54 (~P8(f16(f6(a1,f5(x4241,x4242)),x4241),x4243,x4244)),
% 1.43/1.54 inference(scs_inference,[],[100,49,58,97,391,265,75,83,85,41])).
% 1.43/1.54 cnf(425,plain,
% 1.43/1.54 (E(f16(f6(x4251,f5(x4252,x4253)),x4252),x4251)),
% 1.43/1.54 inference(rename_variables,[],[49])).
% 1.43/1.54 cnf(426,plain,
% 1.43/1.54 (E(f19(x4261,f8(f19(x4262,a1,x4263)),x4264),f19(x4261,f19(x4262,a1,a3),x4264))),
% 1.43/1.54 inference(scs_inference,[],[100,49,53,58,97,391,265,75,83,85,41,11])).
% 1.43/1.54 cnf(428,plain,
% 1.43/1.54 (E(f16(f6(x4281,f5(x4282,x4283)),x4282),x4281)),
% 1.43/1.54 inference(rename_variables,[],[49])).
% 1.43/1.54 cnf(429,plain,
% 1.43/1.54 (~P5(f19(x4291,f6(a1,f5(a10,x4292)),x4293),a1)),
% 1.43/1.54 inference(scs_inference,[],[100,49,425,53,57,58,97,391,413,265,75,83,85,41,11,34,40])).
% 1.43/1.54 cnf(434,plain,
% 1.43/1.54 (~E(a10,f16(f6(a1,f5(x4341,x4342)),x4341))),
% 1.43/1.54 inference(scs_inference,[],[100,49,425,428,53,57,58,97,391,413,397,301,265,104,44,75,83,85,41,11,34,40,35,42,3])).
% 1.43/1.54 cnf(436,plain,
% 1.43/1.54 (E(x4361,f15(f6(x4362,f5(x4363,x4361)),x4363))),
% 1.43/1.54 inference(scs_inference,[],[100,50,49,425,428,53,57,58,97,391,413,397,301,265,104,44,75,83,85,41,11,34,40,35,42,3,2])).
% 1.43/1.54 cnf(437,plain,
% 1.43/1.54 (P1(f15(f6(x4371,f5(x4372,x4373)),x4372),x4373)),
% 1.43/1.54 inference(scs_inference,[],[100,50,49,425,428,46,53,57,58,97,391,413,397,301,265,104,44,75,83,85,41,11,34,40,35,42,3,2,29])).
% 1.43/1.54 cnf(438,plain,
% 1.43/1.54 (P1(x4381,x4381)),
% 1.43/1.54 inference(rename_variables,[],[46])).
% 1.43/1.54 cnf(440,plain,
% 1.43/1.54 (P1(f13(f19(x4401,x4402,x4403),x4404),f19(f12(x4401,x4404),f6(x4402,f5(x4404,a2)),x4403))),
% 1.43/1.54 inference(scs_inference,[],[100,50,55,49,425,428,46,438,53,57,58,97,391,413,397,301,265,104,44,75,83,85,41,11,34,40,35,42,3,2,29,30,28])).
% 1.43/1.54 cnf(444,plain,
% 1.43/1.54 (P6(x4441,x4441)),
% 1.43/1.54 inference(rename_variables,[],[47])).
% 1.43/1.54 cnf(447,plain,
% 1.43/1.54 (P5(f19(x4471,f6(f6(x4472,f5(a1,x4473)),f5(x4474,x4475)),x4476),f4(a1,x4477))),
% 1.43/1.54 inference(scs_inference,[],[100,50,55,49,425,428,46,438,53,57,58,97,47,444,391,415,413,397,233,301,265,104,44,75,83,85,41,11,34,40,35,42,3,2,29,30,28,38,32,31,76])).
% 1.43/1.54 cnf(449,plain,
% 1.43/1.54 (~E(f8(f19(a9,a10,a11)),f16(f6(f19(x4491,x4492,a3),f5(x4493,x4494)),x4493))),
% 1.43/1.54 inference(scs_inference,[],[100,50,55,49,425,428,46,438,53,57,58,97,47,444,282,391,415,413,397,233,301,265,104,54,44,75,83,85,41,11,34,40,35,42,3,2,29,30,28,38,32,31,76,36])).
% 1.43/1.54 cnf(450,plain,
% 1.43/1.54 (P5(f13(f19(x4501,x4502,x4503),a1),f4(a1,x4504))),
% 1.43/1.54 inference(scs_inference,[],[100,50,55,49,425,428,46,438,53,57,58,97,47,444,282,391,384,415,413,397,233,301,265,104,54,44,75,83,85,41,11,34,40,35,42,3,2,29,30,28,38,32,31,76,36,39])).
% 1.43/1.54 cnf(453,plain,
% 1.43/1.54 (P8(f6(x4531,f5(a1,a1)),f4(a1,f7(f19(x4532,a1,x4533))),f4(a1,a2))),
% 1.43/1.54 inference(scs_inference,[],[100,50,55,49,425,428,46,438,53,57,58,97,47,444,282,391,384,415,354,413,397,233,301,265,104,54,44,75,83,85,41,11,34,40,35,42,3,2,29,30,28,38,32,31,76,36,39,43])).
% 1.43/1.54 cnf(461,plain,
% 1.43/1.54 (P8(f6(f6(x4611,f5(a1,a1)),f5(x4612,x4613)),f4(a1,f7(f19(x4614,a1,x4615))),f4(a1,a2))),
% 1.43/1.54 inference(scs_inference,[],[453,83])).
% 1.43/1.54 cnf(464,plain,
% 1.43/1.54 (E(f16(f6(x4641,f5(x4642,x4643)),x4642),x4641)),
% 1.43/1.54 inference(rename_variables,[],[49])).
% 1.43/1.54 cnf(470,plain,
% 1.43/1.54 (E(f16(f6(x4701,f5(x4702,x4703)),x4702),x4701)),
% 1.43/1.54 inference(rename_variables,[],[49])).
% 1.43/1.54 cnf(476,plain,
% 1.43/1.54 (~E(f19(x4761,f4(a1,x4762),x4763),f19(x4764,a10,x4765))),
% 1.43/1.54 inference(scs_inference,[],[49,464,100,436,237,390,453,284,419,417,450,413,286,307,83,37,40,39,35,3,42,2])).
% 1.43/1.54 cnf(479,plain,
% 1.43/1.54 (~E(a10,f16(f6(f4(a1,x4791),f5(x4792,x4793)),x4792))),
% 1.43/1.54 inference(scs_inference,[],[49,464,470,100,436,237,390,453,284,419,417,394,450,413,286,307,83,37,40,39,35,3,42,2,43,70])).
% 1.43/1.54 cnf(481,plain,
% 1.43/1.54 (~E(f4(a1,x4811),a10)),
% 1.43/1.54 inference(scs_inference,[],[49,464,470,100,436,237,390,453,284,419,417,394,450,413,286,307,83,37,40,39,35,3,42,2,43,70,11])).
% 1.43/1.54 cnf(486,plain,
% 1.43/1.54 (P4(f6(x4861,f5(f19(x4862,a1,a3),x4863)),f8(f19(x4862,a1,x4864)))),
% 1.43/1.54 inference(scs_inference,[],[268,70])).
% 1.43/1.54 cnf(488,plain,
% 1.43/1.54 (~P2(f16(f6(a1,f5(a2,x4881)),f7(f19(x4882,a1,x4883))))),
% 1.43/1.54 inference(scs_inference,[],[291,333,268,70,33])).
% 1.43/1.54 cnf(491,plain,
% 1.43/1.54 (E(f19(x4911,a1,x4912),f19(x4911,f4(a1,x4913),x4912))),
% 1.43/1.54 inference(scs_inference,[],[97,291,333,268,70,33,11])).
% 1.43/1.54 cnf(492,plain,
% 1.43/1.54 (~P5(f16(f6(f19(x4921,f4(a1,x4922),x4923),f5(x4924,x4925)),x4924),x4926)),
% 1.43/1.54 inference(scs_inference,[],[49,97,291,333,268,308,70,33,11,39])).
% 1.43/1.54 cnf(493,plain,
% 1.43/1.54 (E(f16(f6(x4931,f5(x4932,x4933)),x4932),x4931)),
% 1.43/1.54 inference(rename_variables,[],[49])).
% 1.43/1.54 cnf(495,plain,
% 1.43/1.54 (E(f8(f19(x4951,a1,x4952)),f19(x4951,a1,a3))),
% 1.43/1.54 inference(rename_variables,[],[53])).
% 1.43/1.54 cnf(497,plain,
% 1.43/1.54 (E(f16(f6(x4971,f5(x4972,x4973)),x4972),x4971)),
% 1.43/1.54 inference(rename_variables,[],[49])).
% 1.43/1.54 cnf(499,plain,
% 1.43/1.54 (E(f16(f6(x4991,f5(x4992,x4993)),x4992),x4991)),
% 1.43/1.54 inference(rename_variables,[],[49])).
% 1.43/1.54 cnf(500,plain,
% 1.43/1.54 (E(x5001,f16(f6(x5001,f5(x5002,x5003)),x5002))),
% 1.43/1.54 inference(scs_inference,[],[53,495,49,493,497,499,97,291,333,268,308,168,70,33,11,39,35,3,42,2])).
% 1.43/1.54 cnf(501,plain,
% 1.43/1.54 (P8(f6(f6(x5011,f5(a1,a1)),f5(x5012,x5013)),f4(a1,f7(f19(x5014,a1,x5015))),f4(a1,x5016))),
% 1.43/1.54 inference(scs_inference,[],[53,495,49,493,497,499,97,291,461,333,268,244,308,168,70,33,11,39,35,3,42,2,43])).
% 1.43/1.54 cnf(503,plain,
% 1.43/1.54 (P5(f13(f19(x5031,a10,x5032),x5033),f16(f6(f14(a9),f5(x5034,x5035)),x5034))),
% 1.43/1.54 inference(scs_inference,[],[53,495,49,493,497,499,97,291,461,333,268,244,308,168,70,33,11,39,35,3,42,2,43,357])).
% 1.43/1.54 cnf(506,plain,
% 1.43/1.54 (P6(x5061,f17(f8(f8(x5061)),f7(f8(x5061))))),
% 1.43/1.54 inference(scs_inference,[],[53,495,49,493,497,499,97,327,291,461,333,268,244,308,168,70,33,11,39,35,3,42,2,43,357,68,69])).
% 1.43/1.54 cnf(510,plain,
% 1.43/1.54 (E(f17(f19(x5101,f4(a1,x5102),x5103),x5104),f19(x5101,f4(a1,x5102),a3))),
% 1.43/1.54 inference(scs_inference,[],[53,495,49,493,497,499,97,327,440,291,461,333,268,244,308,167,168,70,33,11,39,35,3,42,2,43,357,68,69,64,81])).
% 1.43/1.54 cnf(514,plain,
% 1.43/1.54 (P6(x5141,f8(f8(x5141)))),
% 1.43/1.54 inference(scs_inference,[],[53,495,49,493,497,499,97,327,440,291,461,333,268,244,308,167,168,70,33,11,39,35,3,42,2,43,357,68,69,64,81,67,63])).
% 1.43/1.54 cnf(516,plain,
% 1.43/1.54 (E(f6(f4(x5161,f4(a1,x5162)),f5(x5163,a1)),f4(f6(x5161,f5(x5163,a1)),f4(a1,x5162)))),
% 1.43/1.54 inference(scs_inference,[],[53,495,49,493,497,499,97,327,440,291,461,333,115,268,244,308,167,168,70,33,11,39,35,3,42,2,43,357,68,69,64,81,67,63,78])).
% 1.43/1.54 cnf(518,plain,
% 1.43/1.54 (E(f17(f8(f19(x5181,a1,x5182)),x5183),f17(f19(x5181,a1,a3),x5183))),
% 1.43/1.54 inference(scs_inference,[],[53,495,49,493,497,499,97,327,440,291,461,333,115,268,244,308,167,168,70,33,11,39,35,3,42,2,43,357,68,69,64,81,67,63,78,18])).
% 1.43/1.54 cnf(526,plain,
% 1.43/1.54 (E(f13(f8(f19(x5261,a1,x5262)),x5263),f13(f19(x5261,a1,a3),x5263))),
% 1.43/1.54 inference(scs_inference,[],[53,495,49,493,497,499,97,327,440,291,461,333,115,268,244,308,167,168,70,33,11,39,35,3,42,2,43,357,68,69,64,81,67,63,78,18,17,26,22,16,15,10,8,24])).
% 1.43/1.54 cnf(547,plain,
% 1.43/1.54 (P5(f19(x5471,f6(f6(x5472,f5(a1,x5473)),f5(x5474,x5475)),x5476),a1)),
% 1.43/1.54 inference(scs_inference,[],[53,495,49,493,497,499,58,97,327,440,291,461,447,333,399,115,268,244,119,308,167,168,44,70,33,11,39,35,3,42,2,43,357,68,69,64,81,67,63,78,18,17,26,22,16,15,10,8,24,21,14,12,4,27,25,23,20,19,13,9,7,6,5,86,85,40])).
% 1.43/1.54 cnf(551,plain,
% 1.43/1.54 (P3(f16(f6(f19(x5511,a1,x5512),f5(x5513,x5514)),x5513))),
% 1.43/1.54 inference(scs_inference,[],[52,500,547,82,30])).
% 1.43/1.54 cnf(552,plain,
% 1.43/1.54 (E(x5521,f16(f6(x5521,f5(x5522,x5523)),x5522))),
% 1.43/1.54 inference(rename_variables,[],[500])).
% 1.43/1.54 cnf(553,plain,
% 1.43/1.54 (P1(f8(f19(x5531,a1,x5532)),f19(x5531,a1,a3))),
% 1.43/1.54 inference(scs_inference,[],[46,52,53,500,547,82,30,29])).
% 1.43/1.54 cnf(558,plain,
% 1.43/1.54 (P7(f16(f6(f8(f19(a9,a10,a11)),f5(x5581,x5582)),x5581))),
% 1.43/1.54 inference(scs_inference,[],[46,52,100,53,500,552,407,547,54,82,30,29,86,36])).
% 1.43/1.54 cnf(559,plain,
% 1.43/1.54 (E(x5591,f16(f6(x5591,f5(x5592,x5593)),x5592))),
% 1.43/1.54 inference(rename_variables,[],[500])).
% 1.43/1.54 cnf(560,plain,
% 1.43/1.54 (P5(f13(f19(x5601,x5602,x5603),a1),f16(f6(f4(a1,x5604),f5(x5605,x5606)),x5605))),
% 1.43/1.54 inference(scs_inference,[],[46,52,100,53,500,552,559,407,547,450,54,82,30,29,86,36,40])).
% 1.43/1.54 cnf(561,plain,
% 1.43/1.54 (E(x5611,f16(f6(x5611,f5(x5612,x5613)),x5612))),
% 1.43/1.54 inference(rename_variables,[],[500])).
% 1.43/1.54 cnf(562,plain,
% 1.43/1.54 (~P5(f17(f19(x5621,f4(a1,x5622),x5623),x5624),x5625)),
% 1.43/1.54 inference(scs_inference,[],[46,52,100,53,500,552,559,407,510,547,450,308,54,82,30,29,86,36,40,39])).
% 1.43/1.54 cnf(566,plain,
% 1.43/1.54 (E(x5661,f16(f6(x5661,f5(x5662,x5663)),x5662))),
% 1.43/1.54 inference(rename_variables,[],[500])).
% 1.43/1.54 cnf(570,plain,
% 1.43/1.54 (P8(f6(f6(x5701,f5(a1,a1)),f5(x5702,x5703)),f4(a1,a2),f4(a1,x5704))),
% 1.43/1.54 inference(scs_inference,[],[46,52,100,53,500,552,559,561,407,510,501,220,547,354,450,415,308,54,82,30,29,86,36,40,39,35,3,42])).
% 1.43/1.54 cnf(573,plain,
% 1.43/1.54 (P8(f6(f6(x5731,f5(a1,a1)),f5(x5732,x5733)),f4(a1,a2),f16(f6(f4(a1,x5734),f5(x5735,x5736)),x5735))),
% 1.43/1.54 inference(scs_inference,[],[46,52,100,53,500,552,559,561,566,407,510,449,501,220,547,354,450,415,308,54,82,30,29,86,36,40,39,35,3,42,2,43])).
% 1.43/1.54 cnf(577,plain,
% 1.43/1.54 (P4(f6(x5771,f5(a1,x5772)),f16(f6(f4(a1,x5773),f5(x5774,x5775)),x5774))),
% 1.43/1.54 inference(scs_inference,[],[46,52,100,53,370,500,552,559,561,566,407,510,449,501,220,547,479,354,450,415,308,54,82,30,29,86,36,40,39,35,3,42,2,43,189,77])).
% 1.43/1.54 cnf(579,plain,
% 1.43/1.54 (P4(f6(f6(x5791,f5(f19(x5792,a1,a3),x5793)),f5(x5794,x5795)),f8(f19(x5792,a1,x5796)))),
% 1.43/1.54 inference(scs_inference,[],[46,52,100,53,370,500,552,559,561,566,407,486,510,449,501,220,547,479,354,450,415,308,54,82,30,29,86,36,40,39,35,3,42,2,43,189,77,72])).
% 1.43/1.54 cnf(581,plain,
% 1.43/1.54 (~E(f19(a9,a10,a11),f19(x5811,a1,x5812))),
% 1.43/1.54 inference(scs_inference,[],[46,52,100,53,370,500,552,559,561,566,407,486,510,449,501,220,547,479,354,450,415,308,54,82,30,29,86,36,40,39,35,3,42,2,43,189,77,72,20])).
% 1.43/1.54 cnf(582,plain,
% 1.43/1.54 (P8(f6(x5821,f5(a1,a1)),f4(a1,a2),f4(a1,x5822))),
% 1.43/1.54 inference(scs_inference,[],[46,52,100,53,370,500,552,559,561,566,407,486,510,449,501,220,547,479,354,450,415,119,308,54,82,30,29,86,36,40,39,35,3,42,2,43,189,77,72,20,85])).
% 1.43/1.54 cnf(585,plain,
% 1.43/1.54 (P8(f6(x5851,f5(f19(x5852,a1,x5853),f19(x5852,a1,x5853))),f19(x5852,f4(a1,x5854),x5853),f19(x5852,f4(a1,x5854),x5853))),
% 1.43/1.54 inference(scs_inference,[],[46,52,48,100,53,370,500,552,559,561,566,407,486,510,488,491,449,501,220,547,479,354,450,415,119,308,54,82,30,29,86,36,40,39,35,3,42,2,43,189,77,72,20,85,33,75])).
% 1.43/1.54 cnf(590,plain,
% 1.43/1.54 (P4(f6(x5901,f5(x5902,x5903)),f15(f6(x5904,f5(x5905,x5902)),x5905))),
% 1.43/1.54 inference(scs_inference,[],[436,70])).
% 1.43/1.54 cnf(597,plain,
% 1.43/1.54 (P1(x5971,f16(f6(x5971,f5(x5972,x5973)),x5972))),
% 1.43/1.54 inference(scs_inference,[],[102,49,57,581,436,46,70,82,77,28])).
% 1.43/1.54 cnf(599,plain,
% 1.43/1.54 (~P9(f13(f19(x5991,x5992,x5993),x5994),f19(f12(x5991,x5994),f6(x5992,f5(x5994,a2)),x5993))),
% 1.43/1.54 inference(scs_inference,[],[102,98,49,57,55,581,436,46,70,82,77,28,38])).
% 1.43/1.54 cnf(600,plain,
% 1.43/1.54 (~P9(x6001,x6001)),
% 1.43/1.54 inference(rename_variables,[],[98])).
% 1.43/1.54 cnf(601,plain,
% 1.43/1.54 (P6(f16(f6(x6011,f5(x6012,x6013)),x6012),x6011)),
% 1.43/1.54 inference(scs_inference,[],[47,102,98,49,57,55,581,436,46,70,82,77,28,38,32])).
% 1.43/1.54 cnf(602,plain,
% 1.43/1.54 (P6(x6021,x6021)),
% 1.43/1.54 inference(rename_variables,[],[47])).
% 1.43/1.54 cnf(604,plain,
% 1.43/1.54 (E(f8(a1),f8(f4(a1,x6041)))),
% 1.43/1.54 inference(scs_inference,[],[47,602,102,98,49,57,55,97,581,436,46,70,82,77,28,38,32,31,20])).
% 1.43/1.54 cnf(611,plain,
% 1.43/1.54 (~E(f16(f6(f8(f19(a9,a10,a11)),f5(x6111,x6112)),x6111),f19(x6113,x6114,a3))),
% 1.43/1.54 inference(scs_inference,[],[47,602,102,98,59,49,57,100,55,58,97,558,424,581,436,46,70,82,77,28,38,32,31,20,86,85,36])).
% 1.43/1.54 cnf(613,plain,
% 1.43/1.54 (E(f16(f6(x6131,f5(x6132,x6133)),x6132),x6131)),
% 1.43/1.54 inference(rename_variables,[],[49])).
% 1.43/1.54 cnf(614,plain,
% 1.43/1.54 (~E(f13(f19(x6141,a10,x6142),x6143),f16(f6(f19(x6144,f4(a1,x6145),x6146),f5(x6147,x6148)),x6147))),
% 1.43/1.54 inference(scs_inference,[],[47,602,102,98,59,49,57,100,55,58,97,492,558,424,503,581,436,46,70,82,77,28,38,32,31,20,86,85,36,40,39])).
% 1.43/1.54 cnf(616,plain,
% 1.43/1.54 (~P4(f6(a1,f5(a10,x6161)),f16(f6(a1,f5(x6162,x6163)),x6162))),
% 1.43/1.54 inference(scs_inference,[],[47,602,102,98,59,49,613,57,100,55,58,97,492,558,424,503,581,436,174,46,70,82,77,28,38,32,31,20,86,85,36,40,39,35])).
% 1.43/1.54 cnf(617,plain,
% 1.43/1.54 (E(f16(f6(x6171,f5(x6172,x6173)),x6172),x6171)),
% 1.43/1.54 inference(rename_variables,[],[49])).
% 1.43/1.54 cnf(618,plain,
% 1.43/1.54 (~E(a1,f6(x6181,f5(x6182,x6183)))),
% 1.43/1.54 inference(scs_inference,[],[47,602,102,98,59,49,613,57,100,55,50,58,97,492,393,558,424,503,581,436,174,46,70,82,77,28,38,32,31,20,86,85,36,40,39,35,3])).
% 1.43/1.54 cnf(621,plain,
% 1.43/1.54 (E(a2,f7(f19(x6211,a1,x6212)))),
% 1.43/1.54 inference(scs_inference,[],[47,602,102,98,59,49,613,57,100,55,50,58,97,51,492,393,558,424,503,581,436,174,46,70,82,77,28,38,32,31,20,86,85,36,40,39,35,3,2])).
% 1.43/1.54 cnf(623,plain,
% 1.43/1.54 (E(f16(f6(x6231,f5(x6232,x6233)),x6232),x6231)),
% 1.43/1.54 inference(rename_variables,[],[49])).
% 1.43/1.54 cnf(627,plain,
% 1.43/1.54 (~P8(f16(f6(f6(a1,f5(x6271,a10)),f5(x6272,x6273)),x6272),x6274,f4(a1,x6275))),
% 1.43/1.54 inference(scs_inference,[],[47,602,102,98,59,49,613,617,623,57,100,55,50,58,97,51,437,492,393,558,424,503,581,436,394,117,174,171,46,70,82,77,28,38,32,31,20,86,85,36,40,39,35,3,2,43,66,41])).
% 1.43/1.54 cnf(628,plain,
% 1.43/1.54 (E(f16(f6(x6281,f5(x6282,x6283)),x6282),x6281)),
% 1.43/1.54 inference(rename_variables,[],[49])).
% 1.43/1.54 cnf(633,plain,
% 1.43/1.54 (P1(f19(x6331,a1,a3),f8(f19(x6331,a1,x6332)))+P9(f8(f19(x6331,a1,x6332)),f19(x6331,a1,a3))),
% 1.43/1.54 inference(scs_inference,[],[47,602,102,98,59,49,613,617,623,628,57,100,55,50,58,97,51,437,492,393,558,424,503,581,553,386,436,394,117,174,171,46,70,82,77,28,38,32,31,20,86,85,36,40,39,35,3,2,43,66,41,34,76,65])).
% 1.43/1.54 cnf(635,plain,
% 1.43/1.54 (~P9(f8(f19(x6351,a1,x6352)),f19(x6351,a1,a3))),
% 1.43/1.54 inference(scs_inference,[],[47,602,102,98,600,59,49,613,617,623,628,57,100,55,50,53,58,97,51,437,492,393,558,424,503,581,553,386,436,394,117,174,171,46,70,82,77,28,38,32,31,20,86,85,36,40,39,35,3,2,43,66,41,34,76,65,37])).
% 1.43/1.54 cnf(640,plain,
% 1.43/1.54 (~P8(f6(a1,f5(x6401,a1)),x6402,f6(x6403,f5(x6404,x6405)))),
% 1.43/1.54 inference(scs_inference,[],[58,616,618,434,77,85])).
% 1.43/1.54 cnf(644,plain,
% 1.43/1.54 (E(f15(f6(x6441,f5(x6442,x6443)),x6442),x6443)),
% 1.43/1.54 inference(rename_variables,[],[50])).
% 1.43/1.54 cnf(648,plain,
% 1.43/1.54 (P8(f6(x6481,f5(a1,a1)),f4(a1,a2),f16(f6(f4(a1,x6482),f5(x6483,x6484)),x6483))),
% 1.43/1.54 inference(scs_inference,[],[102,50,58,516,616,618,434,573,582,119,77,85,34,41,86])).
% 1.43/1.54 cnf(649,plain,
% 1.43/1.54 (P8(f6(f6(x6491,f5(a1,a1)),f5(x6492,x6493)),f4(a1,a2),f16(f6(f4(a1,x6494),f5(x6495,x6496)),x6495))),
% 1.43/1.54 inference(rename_variables,[],[573])).
% 1.43/1.54 cnf(652,plain,
% 1.43/1.54 (P5(f13(f19(x6521,x6522,x6523),a1),a1)),
% 1.43/1.54 inference(scs_inference,[],[102,50,58,516,560,616,618,388,434,573,582,119,77,85,34,41,86,40])).
% 1.43/1.54 cnf(653,plain,
% 1.43/1.54 (E(f16(f6(f4(a1,x6531),f5(x6532,x6533)),x6532),a1)),
% 1.43/1.54 inference(rename_variables,[],[388])).
% 1.43/1.54 cnf(654,plain,
% 1.43/1.54 (P4(f6(x6541,f5(x6542,x6543)),x6542)),
% 1.43/1.54 inference(scs_inference,[],[102,50,644,58,590,516,560,616,618,388,434,573,582,119,77,85,34,41,86,40,35])).
% 1.43/1.54 cnf(655,plain,
% 1.43/1.54 (E(f15(f6(x6551,f5(x6552,x6553)),x6552),x6553)),
% 1.43/1.54 inference(rename_variables,[],[50])).
% 1.43/1.54 cnf(658,plain,
% 1.43/1.54 (P8(f6(f6(x6581,f5(a1,a1)),f5(x6582,x6583)),f4(a1,a2),a1)),
% 1.43/1.54 inference(scs_inference,[],[102,50,644,58,51,590,614,516,560,616,618,388,653,434,621,573,649,582,119,77,85,34,41,86,40,35,3,2,43])).
% 1.43/1.54 cnf(662,plain,
% 1.43/1.54 (P8(f6(f6(f6(x6621,f5(a1,a1)),f5(x6622,x6623)),f5(x6624,x6625)),f4(a1,a2),f4(a1,x6626))),
% 1.43/1.54 inference(scs_inference,[],[102,50,644,58,51,590,614,516,560,616,635,618,388,653,434,621,573,649,582,570,119,77,85,34,41,86,40,35,3,2,43,633,83])).
% 1.43/1.54 cnf(665,plain,
% 1.43/1.54 (P1(f19(x6651,a1,a3),f16(f6(f8(f19(x6651,a1,x6652)),f5(x6653,x6654)),x6653))),
% 1.43/1.54 inference(scs_inference,[],[106,102,50,644,53,58,51,597,590,614,516,560,616,635,618,388,653,434,621,573,649,582,570,500,119,77,85,34,41,86,40,35,3,2,43,633,83,29,28])).
% 1.43/1.54 cnf(673,plain,
% 1.43/1.54 (~P5(f13(f19(x6731,a1,x6732),a10),a1)),
% 1.43/1.54 inference(scs_inference,[],[106,102,50,644,655,53,58,49,97,51,506,240,597,590,310,614,303,516,560,616,635,618,388,653,434,621,321,573,649,582,570,429,500,119,77,85,34,41,86,40,35,3,2,43,633,83,29,28,32,38,31,36,39])).
% 1.43/1.54 cnf(676,plain,
% 1.43/1.54 (P8(f4(f6(x6761,f5(a1,a1)),f4(a1,x6762)),f4(a1,x6763),f4(a1,x6764))),
% 1.43/1.54 inference(scs_inference,[],[106,102,50,644,655,53,58,49,97,51,506,240,597,590,310,614,303,516,560,616,635,618,388,653,434,621,321,573,649,582,570,429,500,244,119,77,85,34,41,86,40,35,3,2,43,633,83,29,28,32,38,31,36,39,42])).
% 1.43/1.54 cnf(686,plain,
% 1.43/1.54 (P8(f6(x6861,f5(a1,a1)),f4(a1,a2),a1)),
% 1.43/1.54 inference(scs_inference,[],[57,100,577,665,658,553,66,77,85])).
% 1.43/1.54 cnf(700,plain,
% 1.43/1.54 (~P5(f13(f19(x7001,a1,x7002),a10),a1)),
% 1.43/1.54 inference(rename_variables,[],[673])).
% 1.43/1.54 cnf(706,plain,
% 1.43/1.54 (~E(f16(f6(f4(a1,x7061),f5(x7062,x7063)),x7062),f6(x7064,f5(x7065,x7066)))),
% 1.43/1.54 inference(scs_inference,[],[57,100,53,58,648,577,579,518,526,627,611,640,665,676,604,658,673,303,553,66,77,85,86,41,11,36,39,35,3,43])).
% 1.43/1.54 cnf(725,plain,
% 1.43/1.54 (E(f19(a1,x7251,x7252),f19(f4(a1,x7253),x7251,x7252))),
% 1.43/1.54 inference(scs_inference,[],[57,100,53,58,97,514,601,648,426,577,579,518,526,627,611,640,665,676,604,658,673,303,553,255,66,77,85,86,41,11,36,39,35,3,43,2,68,64,69,81,67,63,26,22,15,10])).
% 1.43/1.54 cnf(729,plain,
% 1.43/1.54 (E(f17(a1,x7291),f17(f4(a1,x7292),x7291))),
% 1.43/1.54 inference(scs_inference,[],[57,100,53,58,97,514,601,648,426,577,579,518,526,627,611,640,665,676,604,658,673,303,553,255,66,77,85,86,41,11,36,39,35,3,43,2,68,64,69,81,67,63,26,22,15,10,8,24,21,18])).
% 1.43/1.54 cnf(731,plain,
% 1.43/1.54 (E(f16(x7311,a1),f16(x7311,f4(a1,x7312)))),
% 1.43/1.54 inference(scs_inference,[],[57,100,53,58,97,514,601,648,426,577,579,518,526,627,611,640,665,676,604,658,673,303,553,255,66,77,85,86,41,11,36,39,35,3,43,2,68,64,69,81,67,63,26,22,15,10,8,24,21,18,17,14])).
% 1.43/1.54 cnf(732,plain,
% 1.43/1.54 (E(f19(x7321,x7322,a1),f19(x7321,x7322,f4(a1,x7323)))),
% 1.43/1.54 inference(scs_inference,[],[57,100,53,58,97,514,601,648,426,577,579,518,526,627,611,640,665,676,604,658,673,303,553,255,66,77,85,86,41,11,36,39,35,3,43,2,68,64,69,81,67,63,26,22,15,10,8,24,21,18,17,14,12])).
% 1.43/1.54 cnf(733,plain,
% 1.43/1.54 (E(f4(a1,x7331),f4(f4(a1,x7332),x7331))),
% 1.43/1.54 inference(scs_inference,[],[57,100,53,58,97,514,601,648,426,577,579,518,526,627,611,640,665,676,604,658,673,303,553,255,66,77,85,86,41,11,36,39,35,3,43,2,68,64,69,81,67,63,26,22,15,10,8,24,21,18,17,14,12,4])).
% 1.43/1.54 cnf(740,plain,
% 1.43/1.54 (E(f13(x7401,a1),f13(x7401,f4(a1,x7402)))),
% 1.43/1.54 inference(scs_inference,[],[57,100,53,58,97,514,601,648,426,577,579,518,526,627,611,640,665,676,604,658,673,303,553,255,66,77,85,86,41,11,36,39,35,3,43,2,68,64,69,81,67,63,26,22,15,10,8,24,21,18,17,14,12,4,27,23,16,13,9,6,25])).
% 1.43/1.54 cnf(745,plain,
% 1.43/1.54 (~P5(f13(f19(x7451,a1,x7452),a10),f16(f6(a1,f5(x7453,x7454)),x7453))),
% 1.43/1.54 inference(scs_inference,[],[49,57,100,53,58,97,514,601,648,426,577,579,518,526,627,611,640,665,676,604,658,673,700,303,553,255,66,77,85,86,41,11,36,39,35,3,43,2,68,64,69,81,67,63,26,22,15,10,8,24,21,18,17,14,12,4,27,23,16,13,9,6,25,19,7,5,30,40])).
% 1.43/1.54 cnf(746,plain,
% 1.43/1.54 (~P8(f6(f6(a1,f5(a1,x7461)),f5(a1,x7462)),f15(f6(x7463,f5(x7464,a10)),x7464),x7465)),
% 1.43/1.54 inference(scs_inference,[],[49,57,100,50,53,58,97,514,601,648,426,577,579,518,526,627,611,640,665,676,604,658,673,700,303,553,363,255,66,77,85,86,41,11,36,39,35,3,43,2,68,64,69,81,67,63,26,22,15,10,8,24,21,18,17,14,12,4,27,23,16,13,9,6,25,19,7,5,30,40,42])).
% 1.43/1.54 cnf(748,plain,
% 1.43/1.54 (~P8(f6(a1,f5(a1,x7481)),f15(f6(x7482,f5(x7483,a10)),x7483),x7484)),
% 1.43/1.54 inference(scs_inference,[],[49,57,100,50,53,58,97,514,601,648,426,577,579,518,526,627,611,640,665,676,604,658,673,700,303,553,363,255,66,77,85,86,41,11,36,39,35,3,43,2,68,64,69,81,67,63,26,22,15,10,8,24,21,18,17,14,12,4,27,23,16,13,9,6,25,19,7,5,30,40,42,83])).
% 1.43/1.54 cnf(753,plain,
% 1.43/1.54 (P8(f6(f6(f6(f6(x7531,f5(a1,a1)),f5(x7532,x7533)),f5(x7534,x7535)),f5(x7536,x7537)),f4(a1,a2),f4(a1,x7538))),
% 1.43/1.54 inference(scs_inference,[],[49,746,662,75,83])).
% 1.43/1.54 cnf(768,plain,
% 1.43/1.54 (E(f16(f6(x7681,f5(x7682,x7683)),x7682),x7681)),
% 1.43/1.54 inference(rename_variables,[],[49])).
% 1.43/1.54 cnf(771,plain,
% 1.43/1.54 (P8(f6(x7711,f5(f19(a1,a1,x7712),f19(a1,a1,x7712))),f19(f4(a1,x7713),f4(a1,x7714),x7712),f19(a1,f4(a1,x7714),x7712))),
% 1.43/1.54 inference(scs_inference,[],[49,57,100,58,585,746,662,725,748,733,481,345,262,640,447,75,83,77,86,85,33,41,40,42])).
% 1.43/1.54 cnf(776,plain,
% 1.43/1.54 (~E(f4(a1,x7761),f6(x7762,f5(x7763,x7764)))),
% 1.43/1.54 inference(scs_inference,[],[49,768,57,100,58,562,706,585,746,662,725,748,733,481,652,345,262,640,447,75,83,77,86,85,33,41,40,42,39,3])).
% 1.43/1.54 cnf(777,plain,
% 1.43/1.54 (~E(f16(f6(f4(a1,x7771),f5(x7772,x7773)),x7772),f6(x7774,f5(x7775,x7776)))),
% 1.43/1.54 inference(rename_variables,[],[706])).
% 1.43/1.54 cnf(778,plain,
% 1.43/1.54 (E(f16(f6(x7781,f5(x7782,x7783)),x7782),x7781)),
% 1.43/1.54 inference(rename_variables,[],[49])).
% 1.43/1.54 cnf(779,plain,
% 1.43/1.54 (~P8(f6(a1,f5(x7791,a1)),x7792,f16(f6(f6(x7793,f5(x7794,x7795)),f5(x7796,x7797)),x7796))),
% 1.43/1.54 inference(scs_inference,[],[49,768,778,57,100,58,562,706,585,746,662,725,748,733,481,652,345,262,640,447,75,83,77,86,85,33,41,40,42,39,3,43])).
% 1.43/1.54 cnf(787,plain,
% 1.43/1.54 (P1(f19(f12(x7871,x7872),f6(x7873,f5(x7872,a2)),x7874),f13(f19(x7871,x7873,x7874),x7872))),
% 1.43/1.54 inference(scs_inference,[],[49,768,778,57,100,58,654,599,562,706,777,585,746,662,725,748,733,481,652,345,440,262,640,447,321,75,83,77,86,85,33,41,40,42,39,3,43,2,189,72,82,65])).
% 1.43/1.54 cnf(794,plain,
% 1.43/1.54 (P1(f19(f12(x7941,a1),f6(x7942,f5(a1,a2)),x7943),f13(f19(x7941,x7942,x7943),f4(a1,x7944)))),
% 1.43/1.54 inference(scs_inference,[],[787,551,732,731,740,75,30,29])).
% 1.43/1.54 cnf(795,plain,
% 1.43/1.54 (E(f13(x7951,a1),f13(x7951,f4(a1,x7952)))),
% 1.43/1.54 inference(rename_variables,[],[740])).
% 1.43/1.54 cnf(799,plain,
% 1.43/1.54 (P8(f6(x7991,f5(f19(a1,a1,x7992),f19(a1,a1,x7992))),f19(f4(a1,x7993),f4(a1,x7994),x7992),f19(a1,f4(a1,x7994),x7992))),
% 1.43/1.54 inference(rename_variables,[],[771])).
% 1.43/1.54 cnf(800,plain,
% 1.43/1.55 (~P8(a1,x8001,x8002)),
% 1.43/1.55 inference(rename_variables,[],[58])).
% 1.43/1.55 cnf(816,plain,
% 1.43/1.55 (P8(f6(x8161,f5(f19(a1,a1,a1),f19(a1,a1,a1))),f19(f4(a1,x8162),f4(a1,x8163),a1),f19(a1,f4(a1,x8163),f4(a1,x8164)))),
% 1.43/1.55 inference(scs_inference,[],[55,58,800,787,551,753,771,799,732,776,731,740,795,745,213,145,733,333,75,30,29,20,86,85,41,40,42,3,43])).
% 1.43/1.55 cnf(839,plain,
% 1.43/1.55 (~P8(a1,x8391,x8392)),
% 1.43/1.55 inference(rename_variables,[],[58])).
% 1.43/1.55 cnf(853,plain,
% 1.43/1.55 ($false),
% 1.43/1.55 inference(scs_inference,[],[50,111,98,55,53,58,839,97,315,794,779,816,686,378,729,319,476,122,673,28,32,31,38,86,85,40,3,43,2]),
% 1.43/1.55 ['proof']).
% 1.43/1.55 % SZS output end Proof
% 1.43/1.55 % Total time :0.980000s
%------------------------------------------------------------------------------