TSTP Solution File: SWV374+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV374+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n020.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 21:33:21 EDT 2023
% Result : Theorem 0.54s 1.19s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV374+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 08:20:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.49/0.58 start to proof:theBenchmark
% 0.54/1.19 %-------------------------------------------
% 0.54/1.19 % File :CSE---1.6
% 0.54/1.19 % Problem :theBenchmark
% 0.54/1.19 % Transform :cnf
% 0.54/1.19 % Format :tptp:raw
% 0.54/1.19 % Command :java -jar mcs_scs.jar %d %s
% 0.54/1.19
% 0.54/1.19 % Result :Theorem 0.550000s
% 0.54/1.19 % Output :CNFRefutation 0.550000s
% 0.54/1.19 %-------------------------------------------
% 0.54/1.19 %------------------------------------------------------------------------------
% 0.54/1.19 % File : SWV374+1 : TPTP v8.1.2. Released v3.3.0.
% 0.54/1.19 % Domain : Software Verification
% 0.54/1.19 % Problem : Priority queue checker: lemma_ok_find_min
% 0.54/1.19 % Version : [dNP05] axioms.
% 0.54/1.19 % English :
% 0.54/1.19
% 0.54/1.19 % Refs : [Pis06] Piskac (2006), Email to Geoff Sutcliffe
% 0.54/1.19 % : [dNP05] de Nivelle & Piskac (2005), Verification of an Off-Lin
% 0.54/1.19 % Source : [Pis06]
% 0.54/1.19 % Names : cpq_l010 [Pis06]
% 0.54/1.19
% 0.54/1.19 % Status : Theorem
% 0.54/1.19 % Rating : 0.39 v8.1.0, 0.42 v7.5.0, 0.44 v7.4.0, 0.33 v7.3.0, 0.45 v7.2.0, 0.41 v7.1.0, 0.39 v7.0.0, 0.37 v6.4.0, 0.50 v6.2.0, 0.48 v6.1.0, 0.57 v6.0.0, 0.52 v5.4.0, 0.54 v5.3.0, 0.63 v5.2.0, 0.65 v5.1.0, 0.62 v5.0.0, 0.54 v4.1.0, 0.52 v4.0.0, 0.54 v3.7.0, 0.55 v3.5.0, 0.53 v3.4.0, 0.58 v3.3.0
% 0.54/1.19 % Syntax : Number of formulae : 42 ( 16 unt; 0 def)
% 0.54/1.19 % Number of atoms : 86 ( 30 equ)
% 0.54/1.19 % Maximal formula atoms : 4 ( 2 avg)
% 0.54/1.19 % Number of connectives : 58 ( 14 ~; 3 |; 14 &)
% 0.54/1.19 % ( 7 <=>; 20 =>; 0 <=; 0 <~>)
% 0.54/1.19 % Maximal formula depth : 9 ( 5 avg)
% 0.54/1.19 % Maximal term depth : 4 ( 1 avg)
% 0.54/1.19 % Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% 0.54/1.19 % Number of functors : 18 ( 18 usr; 3 con; 0-3 aty)
% 0.54/1.19 % Number of variables : 120 ( 120 !; 0 ?)
% 0.54/1.19 % SPC : FOF_THM_RFO_SEQ
% 0.54/1.19
% 0.54/1.19 % Comments :
% 0.54/1.19 %------------------------------------------------------------------------------
% 0.54/1.19 %----Include the axioms about priority queues and checked priority queues
% 0.54/1.19 include('Axioms/SWV007+0.ax').
% 0.54/1.19 include('Axioms/SWV007+2.ax').
% 0.54/1.19 include('Axioms/SWV007+3.ax').
% 0.54/1.19 %------------------------------------------------------------------------------
% 0.54/1.19 %----lemma_ok_find_min (conjecture)
% 0.54/1.19 fof(l10_co,conjecture,
% 0.54/1.19 ! [U,V,W] :
% 0.54/1.19 ( ok(findmin_cpq_eff(triple(U,V,W)))
% 0.54/1.19 => ( V != create_slb
% 0.54/1.19 & contains_slb(V,findmin_pqp_res(U))
% 0.54/1.19 & less_than(lookup_slb(V,findmin_pqp_res(U)),findmin_pqp_res(U)) ) ) ).
% 0.54/1.19
% 0.54/1.19 %------------------------------------------------------------------------------
% 0.54/1.19 %-------------------------------------------
% 0.54/1.19 % Proof found
% 0.54/1.19 % SZS status Theorem for theBenchmark
% 0.54/1.19 % SZS output start Proof
% 0.54/1.19 %ClaNum:93(EqnAxiom:43)
% 0.54/1.19 %VarNum:299(SingletonVarNum:147)
% 0.54/1.19 %MaxLitNum:4
% 0.54/1.19 %MaxfuncDepth:3
% 0.54/1.19 %SharedTerms:15
% 0.54/1.19 %goalClause: 54 70
% 0.54/1.19 %singleGoalClaCount:1
% 0.54/1.19 [56]~P2(a1)
% 0.54/1.19 [54]P7(f8(f19(a9,a10,a11)))
% 0.54/1.19 [45]P1(a2,x451)
% 0.54/1.20 [46]P1(x461,x461)
% 0.54/1.20 [47]P6(x471,x471)
% 0.54/1.20 [57]~P4(a1,x571)
% 0.54/1.20 [44]E(f4(a1,x441),a1)
% 0.54/1.20 [58]~P8(a1,x581,x582)
% 0.54/1.20 [52]P3(f19(x521,a1,x522))
% 0.54/1.20 [59]~P7(f19(x591,x592,a3))
% 0.54/1.20 [51]E(f7(f19(x511,a1,x512)),a2)
% 0.54/1.20 [53]E(f8(f19(x531,a1,x532)),f19(x531,a1,a3))
% 0.54/1.20 [48]P2(f6(x481,f5(x482,x483)))
% 0.54/1.20 [49]E(f16(f6(x491,f5(x492,x493)),x492),x491)
% 0.54/1.20 [50]E(f15(f6(x501,f5(x502,x503)),x502),x503)
% 0.54/1.20 [55]E(f19(f12(x551,x552),f6(x553,f5(x552,a2)),x554),f13(f19(x551,x553,x554),x552))
% 0.54/1.20 [60]P1(x602,x601)+P1(x601,x602)
% 0.54/1.20 [61]~P9(x611,x612)+P1(x611,x612)
% 0.54/1.20 [63]~P9(x632,x631)+~P1(x631,x632)
% 0.54/1.20 [62]~P6(x621,x622)+P6(x621,f8(x622))
% 0.54/1.20 [68]~P6(x681,x682)+P6(x681,f17(f8(x682),f7(x682)))
% 0.54/1.20 [66]~P6(x661,x662)+P6(x661,f13(x662,x663))
% 0.54/1.20 [67]~P6(x671,x672)+P6(x671,f17(x672,x673))
% 0.54/1.20 [71]E(x711,a3)+P7(f19(x712,x713,x711))
% 0.54/1.20 [73]E(x731,a1)+E(f7(f19(x732,x731,x733)),f14(x732))
% 0.54/1.20 [76]~P4(x762,x764)+P5(f19(x761,x762,x763),x764)
% 0.54/1.20 [82]P4(x821,x822)+~P5(f19(x823,x821,x824),x822)
% 0.54/1.20 [69]~E(x692,x694)+P4(f6(x691,f5(x692,x693)),x694)
% 0.54/1.20 [72]~P4(x721,x724)+P4(f6(x721,f5(x722,x723)),x724)
% 0.54/1.20 [81]P4(x812,x814)+E(f17(f19(x811,x812,x813),x814),f19(x811,x812,a3))
% 0.54/1.20 [78]~P1(x782,x784)+E(f6(f4(x781,x782),f5(x783,x784)),f4(f6(x781,f5(x783,x784)),x782))
% 0.54/1.20 [79]~P9(x793,x794)+E(f4(f6(x791,f5(x792,x793)),x794),f6(f4(x791,x794),f5(x792,x794)))
% 0.54/1.20 [83]~P8(x831,x834,x835)+P8(f6(x831,f5(x832,x833)),x834,x835)
% 0.54/1.20 [91]~P9(x911,x912)+~P3(f19(x913,f6(x914,f5(x911,x912)),x915))
% 0.54/1.20 [70]E(a10,a1)+~P4(a10,f14(a9))+~P1(f15(a10,f14(a9)),f14(a9))
% 0.54/1.20 [64]P9(x642,x641)+~P1(x642,x641)+P1(x641,x642)
% 0.54/1.20 [65]~P1(x651,x653)+P1(x651,x652)+~P1(x653,x652)
% 0.54/1.20 [84]P4(x841,f14(x842))+E(x841,a1)+E(f8(f19(x842,x841,x843)),f19(x842,f4(x841,f14(x842)),a3))
% 0.54/1.20 [77]E(x771,x772)+P4(x773,x772)+~P4(f6(x773,f5(x771,x774)),x772)
% 0.54/1.20 [87]~P4(x872,x874)+~P9(x874,f15(x872,x874))+E(f17(f19(x871,x872,x873),x874),f19(f18(x871,x874),f16(x872,x874),a3))
% 0.54/1.20 [88]~P4(x883,x882)+~P1(f15(x883,x882),x882)+E(f19(f18(x881,x882),f16(x883,x882),x884),f17(f19(x881,x883,x884),x882))
% 0.54/1.20 [74]~P4(x743,x742)+E(x741,x742)+E(f15(f6(x743,f5(x741,x744)),x742),f15(x743,x742))
% 0.54/1.20 [80]~P4(x803,x802)+E(x801,x802)+E(f16(f6(x803,f5(x801,x804)),x802),f6(f16(x803,x802),f5(x801,x804)))
% 0.54/1.20 [75]~E(x753,x755)+~E(x752,x754)+P8(f6(x751,f5(x752,x753)),x754,x755)
% 0.54/1.20 [85]E(x851,x852)+P8(x853,x854,x852)+~P8(f6(x853,f5(x855,x851)),x854,x852)
% 0.54/1.20 [86]E(x861,x862)+P8(x863,x862,x864)+~P8(f6(x863,f5(x861,x865)),x862,x864)
% 0.54/1.20 [92]~P1(x924,x923)+~P3(f19(x921,x922,x925))+P3(f19(x921,f6(x922,f5(x923,x924)),x925))
% 0.54/1.20 [93]~P1(x934,x935)+P3(f19(x931,x932,x933))+~P3(f19(x931,f6(x932,f5(x935,x934)),x933))
% 0.54/1.20 [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))
% 0.54/1.20 [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)))
% 0.54/1.20 %EqnAxiom
% 0.54/1.20 [1]E(x11,x11)
% 0.54/1.20 [2]E(x22,x21)+~E(x21,x22)
% 0.54/1.20 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.54/1.20 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 0.54/1.20 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 0.54/1.20 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.54/1.20 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.54/1.20 [8]~E(x81,x82)+E(f6(x81,x83),f6(x82,x83))
% 0.54/1.20 [9]~E(x91,x92)+E(f6(x93,x91),f6(x93,x92))
% 0.54/1.20 [10]~E(x101,x102)+E(f19(x101,x103,x104),f19(x102,x103,x104))
% 0.54/1.20 [11]~E(x111,x112)+E(f19(x113,x111,x114),f19(x113,x112,x114))
% 0.54/1.20 [12]~E(x121,x122)+E(f19(x123,x124,x121),f19(x123,x124,x122))
% 0.54/1.20 [13]~E(x131,x132)+E(f8(x131),f8(x132))
% 0.54/1.20 [14]~E(x141,x142)+E(f16(x141,x143),f16(x142,x143))
% 0.54/1.20 [15]~E(x151,x152)+E(f16(x153,x151),f16(x153,x152))
% 0.54/1.20 [16]~E(x161,x162)+E(f14(x161),f14(x162))
% 0.54/1.20 [17]~E(x171,x172)+E(f15(x171,x173),f15(x172,x173))
% 0.54/1.20 [18]~E(x181,x182)+E(f15(x183,x181),f15(x183,x182))
% 0.54/1.20 [19]~E(x191,x192)+E(f17(x191,x193),f17(x192,x193))
% 0.54/1.20 [20]~E(x201,x202)+E(f17(x203,x201),f17(x203,x202))
% 0.54/1.20 [21]~E(x211,x212)+E(f13(x211,x213),f13(x212,x213))
% 0.54/1.20 [22]~E(x221,x222)+E(f13(x223,x221),f13(x223,x222))
% 0.54/1.20 [23]~E(x231,x232)+E(f7(x231),f7(x232))
% 0.54/1.20 [24]~E(x241,x242)+E(f18(x241,x243),f18(x242,x243))
% 0.54/1.20 [25]~E(x251,x252)+E(f18(x253,x251),f18(x253,x252))
% 0.54/1.20 [26]~E(x261,x262)+E(f12(x261,x263),f12(x262,x263))
% 0.54/1.20 [27]~E(x271,x272)+E(f12(x273,x271),f12(x273,x272))
% 0.54/1.20 [28]P1(x282,x283)+~E(x281,x282)+~P1(x281,x283)
% 0.54/1.20 [29]P1(x293,x292)+~E(x291,x292)+~P1(x293,x291)
% 0.54/1.20 [30]~P3(x301)+P3(x302)+~E(x301,x302)
% 0.54/1.20 [31]P6(x312,x313)+~E(x311,x312)+~P6(x311,x313)
% 0.54/1.20 [32]P6(x323,x322)+~E(x321,x322)+~P6(x323,x321)
% 0.54/1.20 [33]~P2(x331)+P2(x332)+~E(x331,x332)
% 0.54/1.20 [34]P8(x342,x343,x344)+~E(x341,x342)+~P8(x341,x343,x344)
% 0.54/1.20 [35]P8(x353,x352,x354)+~E(x351,x352)+~P8(x353,x351,x354)
% 0.54/1.20 [36]P8(x363,x364,x362)+~E(x361,x362)+~P8(x363,x364,x361)
% 0.54/1.20 [37]~P7(x371)+P7(x372)+~E(x371,x372)
% 0.54/1.20 [38]P4(x382,x383)+~E(x381,x382)+~P4(x381,x383)
% 0.54/1.20 [39]P4(x393,x392)+~E(x391,x392)+~P4(x393,x391)
% 0.54/1.20 [40]P9(x402,x403)+~E(x401,x402)+~P9(x401,x403)
% 0.54/1.20 [41]P9(x413,x412)+~E(x411,x412)+~P9(x413,x411)
% 0.54/1.20 [42]P5(x422,x423)+~E(x421,x422)+~P5(x421,x423)
% 0.54/1.20 [43]P5(x433,x432)+~E(x431,x432)+~P5(x433,x431)
% 0.54/1.20
% 0.54/1.20 %-------------------------------------------
% 0.54/1.20 cnf(94,plain,
% 0.54/1.20 (E(a1,f4(a1,x941))),
% 0.54/1.20 inference(scs_inference,[],[44,2])).
% 0.54/1.20 cnf(95,plain,
% 0.54/1.20 (~P9(x951,x951)),
% 0.54/1.20 inference(scs_inference,[],[46,44,2,63])).
% 0.54/1.20 cnf(97,plain,
% 0.54/1.20 (~P7(f8(f19(x971,a1,x972)))),
% 0.54/1.20 inference(scs_inference,[],[46,44,59,53,2,63,37])).
% 0.54/1.20 cnf(98,plain,
% 0.54/1.20 (E(f8(f19(x981,a1,x982)),f19(x981,a1,a3))),
% 0.54/1.20 inference(rename_variables,[],[53])).
% 0.54/1.20 cnf(100,plain,
% 0.54/1.20 (~P2(f4(a1,x1001))),
% 0.54/1.20 inference(scs_inference,[],[46,56,44,59,53,2,63,37,33])).
% 0.54/1.20 cnf(101,plain,
% 0.54/1.20 (P6(f4(a1,x1011),a1)),
% 0.54/1.20 inference(scs_inference,[],[46,47,56,44,59,53,2,63,37,33,32])).
% 0.54/1.20 cnf(102,plain,
% 0.54/1.20 (P6(x1021,x1021)),
% 0.54/1.20 inference(rename_variables,[],[47])).
% 0.54/1.20 cnf(104,plain,
% 0.54/1.20 (P6(x1041,x1041)),
% 0.54/1.20 inference(rename_variables,[],[47])).
% 0.54/1.20 cnf(105,plain,
% 0.54/1.20 (P1(f4(a1,x1051),a1)),
% 0.54/1.20 inference(scs_inference,[],[46,47,102,56,44,59,53,2,63,37,33,32,31,29])).
% 0.54/1.20 cnf(106,plain,
% 0.54/1.20 (P1(x1061,x1061)),
% 0.54/1.20 inference(rename_variables,[],[46])).
% 0.54/1.20 cnf(107,plain,
% 0.54/1.20 (P1(a1,f4(a1,x1071))),
% 0.54/1.20 inference(scs_inference,[],[46,106,47,102,56,44,59,53,2,63,37,33,32,31,29,28])).
% 0.54/1.20 cnf(108,plain,
% 0.54/1.20 (P1(x1081,x1081)),
% 0.54/1.20 inference(rename_variables,[],[46])).
% 0.54/1.20 cnf(110,plain,
% 0.54/1.20 (E(f16(f6(x1101,f5(x1102,x1103)),x1102),x1101)),
% 0.54/1.20 inference(rename_variables,[],[49])).
% 0.54/1.20 cnf(111,plain,
% 0.54/1.20 (~P5(f19(x1111,a1,x1112),x1113)),
% 0.54/1.20 inference(scs_inference,[],[46,106,47,102,57,56,44,59,53,49,2,63,37,33,32,31,29,28,3,82])).
% 0.54/1.20 cnf(113,plain,
% 0.54/1.20 (P4(f6(x1131,f5(f4(a1,x1132),x1133)),a1)),
% 0.54/1.20 inference(scs_inference,[],[46,106,47,102,57,56,44,59,53,49,2,63,37,33,32,31,29,28,3,82,69])).
% 0.54/1.20 cnf(119,plain,
% 0.54/1.20 (P6(x1191,f8(x1191))),
% 0.54/1.20 inference(scs_inference,[],[46,106,47,102,104,57,56,44,59,53,49,2,63,37,33,32,31,29,28,3,82,69,67,66,62])).
% 0.54/1.20 cnf(138,plain,
% 0.54/1.20 (E(f19(f4(a1,x1381),x1382,x1383),f19(a1,x1382,x1383))),
% 0.54/1.20 inference(scs_inference,[],[46,106,47,102,104,57,56,44,59,53,49,2,63,37,33,32,31,29,28,3,82,69,67,66,62,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10])).
% 0.54/1.20 cnf(145,plain,
% 0.54/1.20 (P6(x1451,f17(f8(x1451),f7(x1451)))),
% 0.54/1.20 inference(scs_inference,[],[46,106,47,102,104,57,56,44,59,53,49,2,63,37,33,32,31,29,28,3,82,69,67,66,62,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68])).
% 0.54/1.20 cnf(149,plain,
% 0.54/1.20 (E(f6(f4(x1491,x1492),f5(x1493,x1492)),f4(f6(x1491,f5(x1493,x1492)),x1492))),
% 0.54/1.20 inference(scs_inference,[],[46,106,108,47,102,104,57,56,44,59,53,49,2,63,37,33,32,31,29,28,3,82,69,67,66,62,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,81,78])).
% 0.54/1.20 cnf(151,plain,
% 0.54/1.20 (~P5(f8(f19(x1511,a1,x1512)),x1513)),
% 0.54/1.20 inference(scs_inference,[],[46,106,108,47,102,104,57,56,44,59,53,98,49,2,63,37,33,32,31,29,28,3,82,69,67,66,62,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,81,78,42])).
% 0.54/1.20 cnf(152,plain,
% 0.54/1.20 (~P9(f4(a1,x1521),f16(f6(f4(a1,x1521),f5(x1522,x1523)),x1522))),
% 0.54/1.20 inference(scs_inference,[],[46,106,108,47,102,104,57,56,44,59,53,98,49,110,2,63,37,33,32,31,29,28,3,82,69,67,66,62,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,81,78,42,41])).
% 0.54/1.20 cnf(153,plain,
% 0.54/1.20 (~P9(f16(f6(f4(a1,x1531),f5(x1532,x1533)),x1532),f4(a1,x1531))),
% 0.54/1.20 inference(scs_inference,[],[46,106,108,47,102,104,57,56,44,59,53,98,49,110,2,63,37,33,32,31,29,28,3,82,69,67,66,62,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,81,78,42,41,40])).
% 0.54/1.20 cnf(154,plain,
% 0.54/1.20 (~P4(f4(a1,x1541),x1542)),
% 0.54/1.20 inference(scs_inference,[],[46,106,108,47,102,104,57,56,44,59,53,98,49,110,2,63,37,33,32,31,29,28,3,82,69,67,66,62,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,81,78,42,41,40,38])).
% 0.54/1.20 cnf(155,plain,
% 0.54/1.20 (~P8(f4(a1,x1551),x1552,x1553)),
% 0.54/1.20 inference(scs_inference,[],[46,106,108,47,102,104,58,57,56,44,59,53,98,49,110,2,63,37,33,32,31,29,28,3,82,69,67,66,62,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,81,78,42,41,40,38,34])).
% 0.54/1.20 cnf(156,plain,
% 0.54/1.20 (P8(f6(x1561,f5(f4(a1,x1562),f4(a1,x1562))),a1,a1)),
% 0.54/1.20 inference(scs_inference,[],[46,106,108,47,102,104,58,57,56,44,59,53,98,49,110,2,63,37,33,32,31,29,28,3,82,69,67,66,62,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,81,78,42,41,40,38,34,75])).
% 0.54/1.20 cnf(158,plain,
% 0.54/1.20 (P3(f19(x1581,f6(a1,f5(x1582,x1582)),x1583))),
% 0.54/1.20 inference(scs_inference,[],[46,106,108,47,102,104,58,57,56,44,52,59,53,98,49,110,2,63,37,33,32,31,29,28,3,82,69,67,66,62,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,81,78,42,41,40,38,34,75,92])).
% 0.54/1.20 cnf(160,plain,
% 0.54/1.20 (P4(f6(x1601,f5(f4(a1,x1602),x1603)),f4(a1,x1602))),
% 0.54/1.20 inference(scs_inference,[],[46,106,108,47,102,104,58,57,56,44,52,59,53,98,49,110,2,63,37,33,32,31,29,28,3,82,69,67,66,62,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,81,78,42,41,40,38,34,75,92,39])).
% 0.54/1.20 cnf(161,plain,
% 0.54/1.20 (P8(f6(x1611,f5(f4(a1,x1612),f4(a1,x1612))),a1,f4(a1,x1612))),
% 0.54/1.20 inference(scs_inference,[],[46,106,108,47,102,104,58,57,56,44,52,59,53,98,49,110,2,63,37,33,32,31,29,28,3,82,69,67,66,62,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,81,78,42,41,40,38,34,75,92,39,36])).
% 0.54/1.20 cnf(162,plain,
% 0.54/1.20 (P8(f6(x1621,f5(f4(a1,x1622),f4(a1,x1622))),f4(a1,x1622),a1)),
% 0.54/1.20 inference(scs_inference,[],[46,106,108,47,102,104,58,57,56,44,52,59,53,98,49,110,2,63,37,33,32,31,29,28,3,82,69,67,66,62,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,81,78,42,41,40,38,34,75,92,39,36,35])).
% 0.54/1.20 cnf(166,plain,
% 0.54/1.20 (P8(f6(f6(x1661,f5(f4(a1,x1662),f4(a1,x1662))),f5(x1663,x1664)),a1,f4(a1,x1662))),
% 0.54/1.20 inference(scs_inference,[],[161,83])).
% 0.54/1.20 cnf(173,plain,
% 0.54/1.20 (P3(f19(x1731,f6(a1,f5(x1732,a2)),x1733))),
% 0.54/1.20 inference(scs_inference,[],[55,45,52,158,160,161,83,72,30,92])).
% 0.54/1.20 cnf(175,plain,
% 0.54/1.20 (~P5(f16(f6(f8(f19(x1751,a1,x1752)),f5(x1753,x1754)),x1753),x1755)),
% 0.54/1.20 inference(scs_inference,[],[55,45,52,49,158,151,160,161,83,72,30,92,42])).
% 0.54/1.20 cnf(177,plain,
% 0.54/1.20 (~P9(a2,f7(f19(x1771,a1,x1772)))),
% 0.54/1.20 inference(scs_inference,[],[51,55,45,52,49,95,158,151,160,161,83,72,30,92,42,41])).
% 0.54/1.20 cnf(178,plain,
% 0.54/1.20 (~P9(x1781,x1781)),
% 0.54/1.20 inference(rename_variables,[],[95])).
% 0.54/1.20 cnf(180,plain,
% 0.54/1.20 (P8(f6(x1801,f5(a1,a1)),f4(a1,x1802),f4(a1,x1802))),
% 0.54/1.20 inference(scs_inference,[],[51,48,55,45,56,52,49,95,158,151,160,161,94,83,72,30,92,42,41,33,75])).
% 0.54/1.20 cnf(183,plain,
% 0.54/1.20 (E(f15(f6(x1831,f5(x1832,x1833)),x1832),x1833)),
% 0.54/1.20 inference(rename_variables,[],[50])).
% 0.54/1.20 cnf(184,plain,
% 0.54/1.20 (P4(f6(x1841,f5(f4(a1,x1842),x1843)),f4(a1,x1844))),
% 0.54/1.20 inference(scs_inference,[],[51,48,50,55,45,56,52,49,58,95,158,151,160,161,113,94,83,72,30,92,42,41,33,75,34,39])).
% 0.54/1.20 cnf(185,plain,
% 0.54/1.20 (P8(f6(x1851,f5(f4(a1,x1852),f4(a1,x1852))),f4(a1,x1852),f4(a1,x1853))),
% 0.54/1.20 inference(scs_inference,[],[51,48,50,55,45,56,52,49,58,95,158,151,160,161,162,113,94,83,72,30,92,42,41,33,75,34,39,36])).
% 0.54/1.20 cnf(188,plain,
% 0.54/1.20 (~E(f8(f19(a9,a10,a11)),f19(x1881,x1882,a3))),
% 0.54/1.20 inference(scs_inference,[],[54,51,48,50,55,45,56,52,59,49,58,95,178,158,151,160,161,162,113,94,83,72,30,92,42,41,33,75,34,39,36,40,37])).
% 0.54/1.20 cnf(189,plain,
% 0.54/1.20 (~E(f4(f6(x1891,f5(x1892,x1893)),x1893),a1)),
% 0.54/1.20 inference(scs_inference,[],[54,51,48,50,55,45,56,52,59,49,58,149,95,178,158,151,160,161,162,113,94,83,72,30,92,42,41,33,75,34,39,36,40,37,3])).
% 0.54/1.20 cnf(190,plain,
% 0.54/1.20 (~P4(f15(f6(x1901,f5(x1902,a1)),x1902),x1903)),
% 0.54/1.20 inference(scs_inference,[],[54,51,48,50,183,55,45,56,52,59,49,58,57,149,95,178,158,151,160,161,162,113,94,83,72,30,92,42,41,33,75,34,39,36,40,37,3,38])).
% 0.54/1.20 cnf(191,plain,
% 0.54/1.20 (E(f15(f6(x1911,f5(x1912,x1913)),x1912),x1913)),
% 0.54/1.20 inference(rename_variables,[],[50])).
% 0.54/1.20 cnf(193,plain,
% 0.54/1.20 (~P9(x1931,a2)),
% 0.54/1.20 inference(scs_inference,[],[54,51,48,50,183,55,45,56,52,59,49,58,57,149,95,178,158,151,160,161,162,113,94,83,72,30,92,42,41,33,75,34,39,36,40,37,3,38,35,91])).
% 0.54/1.20 cnf(195,plain,
% 0.54/1.20 (~E(a1,f6(f4(x1951,x1952),f5(x1953,x1952)))),
% 0.54/1.20 inference(scs_inference,[],[54,51,48,50,183,55,45,56,52,59,49,58,57,149,95,178,158,151,160,161,162,113,94,83,72,30,92,42,41,33,75,34,39,36,40,37,3,38,35,91,2])).
% 0.54/1.20 cnf(197,plain,
% 0.54/1.20 (P6(x1971,x1971)),
% 0.54/1.20 inference(rename_variables,[],[47])).
% 0.54/1.20 cnf(198,plain,
% 0.54/1.20 (P6(a2,f7(f19(x1981,a1,x1982)))),
% 0.54/1.20 inference(scs_inference,[],[54,51,48,50,183,55,45,47,197,56,52,59,49,58,57,149,95,178,158,151,160,161,162,113,94,83,72,30,92,42,41,33,75,34,39,36,40,37,3,38,35,91,2,32,31])).
% 0.54/1.20 cnf(200,plain,
% 0.54/1.21 (P1(x2001,f15(f6(x2002,f5(x2003,x2001)),x2003))),
% 0.54/1.21 inference(scs_inference,[],[54,51,48,50,183,191,55,45,47,197,56,52,59,49,58,46,57,149,95,178,158,151,160,161,162,113,94,83,72,30,92,42,41,33,75,34,39,36,40,37,3,38,35,91,2,32,31,28])).
% 0.54/1.21 cnf(209,plain,
% 0.54/1.21 (E(f19(x2091,a1,a3),f8(f19(x2091,a1,x2092)))),
% 0.54/1.21 inference(scs_inference,[],[53,55,57,173,184,77,30,2])).
% 0.54/1.21 cnf(213,plain,
% 0.54/1.21 (~P8(f6(a1,f5(x2131,a1)),x2132,f6(f4(x2133,x2134),f5(x2135,x2134)))),
% 0.54/1.21 inference(scs_inference,[],[53,55,58,57,173,138,184,195,77,30,2,3,85])).
% 0.54/1.21 cnf(214,plain,
% 0.54/1.21 (~P8(a1,x2141,x2142)),
% 0.54/1.21 inference(rename_variables,[],[58])).
% 0.54/1.21 cnf(216,plain,
% 0.54/1.21 (~P8(f6(a1,f5(a1,x2161)),f6(f4(x2162,x2163),f5(x2164,x2163)),x2165)),
% 0.54/1.21 inference(scs_inference,[],[53,55,58,214,57,173,138,184,195,77,30,2,3,85,86])).
% 0.54/1.21 cnf(222,plain,
% 0.54/1.21 (P1(f15(f6(x2221,f5(x2222,x2223)),x2222),x2223)+P9(x2223,f15(f6(x2221,f5(x2222,x2223)),x2222))),
% 0.54/1.21 inference(scs_inference,[],[53,55,58,214,57,200,173,138,184,188,195,77,30,2,3,85,86,89,64])).
% 0.54/1.21 cnf(230,plain,
% 0.54/1.21 (~P4(f6(a1,f5(a1,x2301)),f6(f4(x2302,x2303),f5(x2304,x2303)))),
% 0.54/1.21 inference(scs_inference,[],[57,213,216,195,85,86,77])).
% 0.54/1.21 cnf(234,plain,
% 0.54/1.21 (~E(a1,f4(f6(x2341,f5(x2342,x2343)),x2343))),
% 0.54/1.21 inference(scs_inference,[],[44,57,213,216,189,195,85,86,77,3,2])).
% 0.54/1.21 cnf(235,plain,
% 0.54/1.21 (~P4(f6(f6(a1,f5(a1,x2351)),f5(a1,x2352)),f6(f4(x2353,x2354),f5(x2355,x2354)))),
% 0.54/1.21 inference(scs_inference,[],[230,195,77])).
% 0.54/1.21 cnf(236,plain,
% 0.54/1.21 (~P4(f6(a1,f5(a1,x2361)),f6(f4(x2362,x2363),f5(x2364,x2363)))),
% 0.54/1.21 inference(rename_variables,[],[230])).
% 0.54/1.21 cnf(238,plain,
% 0.54/1.21 (~P2(f15(f6(x2381,f5(x2382,a1)),x2382))),
% 0.54/1.21 inference(scs_inference,[],[50,56,230,195,77,33])).
% 0.54/1.21 cnf(240,plain,
% 0.54/1.21 (E(f16(f6(x2401,f5(x2402,x2403)),x2402),x2401)),
% 0.54/1.21 inference(rename_variables,[],[49])).
% 0.54/1.21 cnf(242,plain,
% 0.54/1.21 (E(f16(f6(x2421,f5(x2422,x2423)),x2422),x2421)),
% 0.54/1.21 inference(rename_variables,[],[49])).
% 0.54/1.21 cnf(244,plain,
% 0.54/1.21 (E(f16(f6(x2441,f5(x2442,x2443)),x2442),x2441)),
% 0.54/1.21 inference(rename_variables,[],[49])).
% 0.54/1.21 cnf(247,plain,
% 0.54/1.21 (~E(f4(a1,x2471),f4(f6(x2472,f5(x2473,x2474)),x2474))),
% 0.54/1.21 inference(scs_inference,[],[50,56,59,49,240,242,244,94,230,236,234,213,216,195,77,33,39,36,37,35,3])).
% 0.54/1.21 cnf(249,plain,
% 0.54/1.21 (E(f15(f6(x2491,f5(x2492,x2493)),x2492),x2493)),
% 0.54/1.21 inference(rename_variables,[],[50])).
% 0.54/1.21 cnf(250,plain,
% 0.54/1.21 (P6(x2501,f8(f17(f8(x2501),f7(x2501))))),
% 0.54/1.21 inference(scs_inference,[],[50,56,59,49,240,242,244,94,145,230,236,234,213,216,195,77,33,39,36,37,35,3,2,62])).
% 0.54/1.21 cnf(256,plain,
% 0.54/1.21 (~P5(f19(x2561,f6(a1,f5(a1,x2562)),x2563),f6(f4(x2564,x2565),f5(x2566,x2565)))),
% 0.54/1.21 inference(scs_inference,[],[45,50,56,59,49,240,242,244,94,145,230,236,234,105,213,216,195,77,33,39,36,37,35,3,2,62,78,63,82])).
% 0.54/1.21 cnf(266,plain,
% 0.54/1.21 (E(f8(f8(f19(x2661,a1,x2662))),f8(f19(x2661,a1,a3)))),
% 0.54/1.21 inference(scs_inference,[],[45,50,56,59,49,240,242,244,53,94,145,230,236,234,105,213,216,195,77,33,39,36,37,35,3,2,62,78,63,82,67,66,27,24,20,18,13])).
% 0.54/1.21 cnf(267,plain,
% 0.54/1.21 (E(f19(x2671,x2672,f8(f19(x2673,a1,x2674))),f19(x2671,x2672,f19(x2673,a1,a3)))),
% 0.54/1.21 inference(scs_inference,[],[45,50,56,59,49,240,242,244,53,94,145,230,236,234,105,213,216,195,77,33,39,36,37,35,3,2,62,78,63,82,67,66,27,24,20,18,13,12])).
% 0.54/1.21 cnf(268,plain,
% 0.54/1.21 (E(f19(x2681,f8(f19(x2682,a1,x2683)),x2684),f19(x2681,f19(x2682,a1,a3),x2684))),
% 0.54/1.21 inference(scs_inference,[],[45,50,56,59,49,240,242,244,53,94,145,230,236,234,105,213,216,195,77,33,39,36,37,35,3,2,62,78,63,82,67,66,27,24,20,18,13,12,11])).
% 0.54/1.21 cnf(274,plain,
% 0.54/1.21 (E(f17(f19(x2741,f4(a1,x2742),x2743),x2744),f19(x2741,f4(a1,x2742),a3))),
% 0.54/1.21 inference(scs_inference,[],[45,50,56,59,49,240,242,244,53,94,145,119,230,236,234,154,105,213,216,195,77,33,39,36,37,35,3,2,62,78,63,82,67,66,27,24,20,18,13,12,11,8,6,5,68,81])).
% 0.54/1.21 cnf(276,plain,
% 0.54/1.21 (P4(f6(x2761,f5(a1,x2762)),f4(a1,x2763))),
% 0.54/1.21 inference(scs_inference,[],[45,50,56,59,49,240,242,244,53,94,145,119,230,236,234,154,105,213,216,195,77,33,39,36,37,35,3,2,62,78,63,82,67,66,27,24,20,18,13,12,11,8,6,5,68,81,69])).
% 0.54/1.21 cnf(292,plain,
% 0.54/1.21 (~E(a1,f16(f6(f6(f4(x2921,x2922),f5(x2923,x2922)),f5(x2924,x2925)),x2924))),
% 0.54/1.21 inference(scs_inference,[],[45,50,249,56,59,49,240,242,244,53,94,145,119,230,236,234,154,105,213,216,195,77,33,39,36,37,35,3,2,62,78,63,82,67,66,27,24,20,18,13,12,11,8,6,5,68,81,69,26,25,23,22,21,19,17,16,15,14,10,9,7,4,75])).
% 0.54/1.21 cnf(294,plain,
% 0.54/1.21 (P1(f6(f4(x2941,a2),f5(x2942,x2943)),f4(f6(x2941,f5(x2942,x2943)),a2))),
% 0.54/1.21 inference(scs_inference,[],[45,50,249,56,59,49,240,242,244,53,46,94,145,119,230,236,234,154,105,213,216,195,77,33,39,36,37,35,3,2,62,78,63,82,67,66,27,24,20,18,13,12,11,8,6,5,68,81,69,26,25,23,22,21,19,17,16,15,14,10,9,7,4,75,29])).
% 0.54/1.21 cnf(296,plain,
% 0.54/1.21 (P5(f19(x2961,f6(x2962,f5(a1,x2963)),x2964),f4(a1,x2965))),
% 0.54/1.21 inference(scs_inference,[],[276,76])).
% 0.54/1.21 cnf(298,plain,
% 0.54/1.21 (~E(f4(a1,x2981),f6(f4(x2982,x2983),f5(x2984,x2983)))),
% 0.54/1.21 inference(scs_inference,[],[256,276,76,43])).
% 0.54/1.21 cnf(300,plain,
% 0.54/1.21 (P6(x3001,x3001)),
% 0.54/1.21 inference(rename_variables,[],[47])).
% 0.54/1.21 cnf(303,plain,
% 0.54/1.21 (~E(a1,f6(x3031,f5(x3032,x3033)))),
% 0.54/1.21 inference(scs_inference,[],[47,300,55,256,247,276,76,43,32,31,4])).
% 0.54/1.21 cnf(305,plain,
% 0.54/1.21 (P1(f13(f19(x3051,x3052,x3053),x3054),f19(f12(x3051,x3054),f6(x3052,f5(x3054,a2)),x3053))),
% 0.54/1.21 inference(scs_inference,[],[47,300,55,46,256,247,276,76,43,32,31,4,28])).
% 0.54/1.21 cnf(308,plain,
% 0.54/1.21 (E(f16(f6(x3081,f5(x3082,x3083)),x3082),x3081)),
% 0.54/1.21 inference(rename_variables,[],[49])).
% 0.54/1.21 cnf(309,plain,
% 0.54/1.21 (P8(f6(x3091,f5(f19(x3092,a1,a3),f19(x3092,a1,a3))),f8(f19(x3092,a1,x3093)),f8(f19(x3092,a1,x3093)))),
% 0.54/1.21 inference(scs_inference,[],[47,300,55,56,49,46,256,247,276,209,76,43,32,31,4,28,33,75])).
% 0.54/1.21 cnf(315,plain,
% 0.54/1.21 (P4(f6(a1,f5(a1,x3151)),a1)),
% 0.54/1.21 inference(scs_inference,[],[47,300,55,56,59,49,46,94,256,274,247,276,209,156,44,76,43,32,31,4,28,33,75,36,37,39])).
% 0.54/1.21 cnf(317,plain,
% 0.54/1.21 (P4(f6(x3171,f5(a1,x3172)),f4(a1,x3173))),
% 0.54/1.21 inference(rename_variables,[],[276])).
% 0.54/1.21 cnf(327,plain,
% 0.54/1.21 (P4(f6(f6(x3271,f5(a1,x3272)),f5(x3273,x3274)),f4(a1,x3275))),
% 0.54/1.21 inference(scs_inference,[],[45,47,300,55,56,59,49,46,94,256,267,268,274,247,276,317,209,292,185,166,156,158,44,76,43,32,31,4,28,33,75,36,37,39,35,3,2,83,92,72])).
% 0.54/1.21 cnf(331,plain,
% 0.54/1.21 (~P9(f13(f19(x3311,x3312,x3313),x3314),f19(f12(x3311,x3314),f6(x3312,f5(x3314,a2)),x3313))),
% 0.54/1.21 inference(scs_inference,[],[45,95,47,300,55,56,59,49,46,94,256,267,268,153,274,247,276,317,209,292,185,166,156,158,44,76,43,32,31,4,28,33,75,36,37,39,35,3,2,83,92,72,64,41])).
% 0.54/1.21 cnf(332,plain,
% 0.54/1.21 (~P5(f16(f6(f19(x3321,a1,x3322),f5(x3323,x3324)),x3323),x3325)),
% 0.54/1.21 inference(scs_inference,[],[45,95,47,300,55,56,59,49,308,46,94,256,267,268,153,274,247,276,317,209,292,111,185,166,156,158,44,76,43,32,31,4,28,33,75,36,37,39,35,3,2,83,92,72,64,41,42])).
% 0.54/1.21 cnf(340,plain,
% 0.54/1.21 (E(f15(f6(x3401,f5(x3402,x3403)),x3402),x3403)),
% 0.54/1.21 inference(rename_variables,[],[50])).
% 0.54/1.21 cnf(341,plain,
% 0.54/1.21 (P5(f13(f19(x3411,x3412,x3413),a1),f4(a1,x3414))),
% 0.54/1.21 inference(scs_inference,[],[95,50,55,296,41,42])).
% 0.54/1.21 cnf(349,plain,
% 0.54/1.21 (E(f15(f6(x3491,f5(x3492,x3493)),x3492),x3493)),
% 0.54/1.21 inference(rename_variables,[],[50])).
% 0.54/1.21 cnf(351,plain,
% 0.54/1.21 (P8(f6(x3511,f5(f19(x3512,a1,a3),f19(x3512,a1,a3))),f8(f19(x3512,a1,x3513)),f8(f19(x3512,a1,x3513)))),
% 0.54/1.21 inference(rename_variables,[],[309])).
% 0.54/1.21 cnf(352,plain,
% 0.54/1.21 (~E(f8(f19(a9,a10,a11)),f8(f19(x3521,a1,x3522)))),
% 0.54/1.21 inference(scs_inference,[],[97,95,50,340,51,55,53,309,298,296,54,230,41,42,4,77,40,36,37])).
% 0.54/1.21 cnf(353,plain,
% 0.54/1.21 (P8(f6(x3531,f5(f19(x3532,a1,a3),f19(x3532,a1,a3))),f19(x3532,a1,a3),f8(f19(x3532,a1,x3533)))),
% 0.54/1.21 inference(scs_inference,[],[97,95,50,340,51,55,53,309,351,298,296,54,230,41,42,4,77,40,36,37,35])).
% 0.54/1.21 cnf(354,plain,
% 0.54/1.21 (P8(f6(x3541,f5(f19(x3542,a1,a3),f19(x3542,a1,a3))),f8(f19(x3542,a1,x3543)),f8(f19(x3542,a1,x3543)))),
% 0.54/1.21 inference(rename_variables,[],[309])).
% 0.54/1.21 cnf(355,plain,
% 0.54/1.21 (~E(f8(f19(a9,a10,a11)),f8(f8(f19(x3551,a1,x3552))))),
% 0.54/1.21 inference(scs_inference,[],[97,95,50,340,51,55,53,309,351,266,298,296,54,230,41,42,4,77,40,36,37,35,3])).
% 0.54/1.21 cnf(357,plain,
% 0.54/1.21 (E(x3571,f15(f6(x3572,f5(x3573,x3571)),x3573))),
% 0.54/1.21 inference(scs_inference,[],[97,95,50,340,349,51,55,53,309,351,266,298,296,54,230,41,42,4,77,40,36,37,35,3,2])).
% 0.54/1.21 cnf(358,plain,
% 0.54/1.21 (P1(f15(f6(x3581,f5(x3582,x3583)),x3582),x3583)),
% 0.54/1.21 inference(scs_inference,[],[97,95,50,340,349,51,55,53,309,351,266,298,296,54,230,41,42,4,77,40,36,37,35,3,2,222])).
% 0.54/1.21 cnf(362,plain,
% 0.54/1.21 (P1(f4(a1,x3621),f4(a1,x3622))),
% 0.54/1.21 inference(scs_inference,[],[97,95,50,340,349,51,94,55,53,309,351,266,298,296,54,230,105,41,42,4,77,40,36,37,35,3,2,222,13,30,29])).
% 0.54/1.21 cnf(364,plain,
% 0.54/1.21 (P6(x3641,x3641)),
% 0.54/1.21 inference(rename_variables,[],[47])).
% 0.54/1.21 cnf(367,plain,
% 0.54/1.21 (P6(f15(f6(x3671,f5(x3672,x3673)),x3672),x3673)),
% 0.54/1.21 inference(scs_inference,[],[97,47,364,95,50,340,349,51,94,55,53,309,351,354,266,298,296,155,54,230,105,41,42,4,77,40,36,37,35,3,2,222,13,30,29,31,34,32])).
% 0.54/1.21 cnf(369,plain,
% 0.54/1.21 (P1(x3691,f16(f6(x3691,f5(x3692,x3693)),x3692))),
% 0.54/1.21 inference(scs_inference,[],[46,97,47,364,95,50,340,349,49,51,94,55,53,309,351,354,266,298,296,155,54,230,105,41,42,4,77,40,36,37,35,3,2,222,13,30,29,31,34,32,28])).
% 0.54/1.21 cnf(371,plain,
% 0.54/1.21 (~E(f6(f6(x3711,f5(a1,x3712)),f5(x3713,x3714)),f15(f6(x3715,f5(x3716,a1)),x3716))),
% 0.54/1.21 inference(scs_inference,[],[46,97,47,364,95,50,340,349,49,51,94,55,53,309,351,354,266,298,296,327,190,155,54,230,105,41,42,4,77,40,36,37,35,3,2,222,13,30,29,31,34,32,28,38])).
% 0.54/1.21 cnf(377,plain,
% 0.54/1.21 (P1(f16(f6(f4(a1,x3771),f5(x3772,x3773)),x3772),f4(a1,x3771))),
% 0.54/1.21 inference(scs_inference,[],[369,152,64])).
% 0.54/1.21 cnf(380,plain,
% 0.54/1.21 (P4(f6(x3801,f5(x3802,x3803)),f15(f6(x3804,f5(x3805,x3802)),x3805))),
% 0.54/1.21 inference(scs_inference,[],[357,369,152,64,69])).
% 0.54/1.21 cnf(386,plain,
% 0.54/1.21 (~E(f4(a1,x3861),f6(x3862,f5(x3863,x3864)))),
% 0.54/1.21 inference(scs_inference,[],[51,94,357,369,175,371,152,341,303,64,69,13,42,2,3])).
% 0.54/1.21 cnf(393,plain,
% 0.54/1.21 (P1(f15(f6(x3931,f5(x3932,a1)),x3932),f4(a1,x3933))),
% 0.54/1.21 inference(scs_inference,[],[358,107,65])).
% 0.54/1.21 cnf(398,plain,
% 0.54/1.21 (~E(f4(a1,x3981),f6(x3982,f5(x3983,x3984)))),
% 0.54/1.21 inference(rename_variables,[],[386])).
% 0.54/1.21 cnf(405,plain,
% 0.54/1.21 (~E(f19(a9,a10,a11),f8(f19(x4051,a1,x4052)))),
% 0.54/1.21 inference(scs_inference,[],[100,48,358,386,398,355,107,213,216,65,86,85,33,13])).
% 0.54/1.21 cnf(406,plain,
% 0.54/1.21 (E(x4061,f16(f6(x4061,f5(x4062,x4063)),x4062))),
% 0.54/1.21 inference(scs_inference,[],[100,48,49,358,386,398,355,107,213,216,65,86,85,33,13,2])).
% 0.54/1.21 cnf(409,plain,
% 0.54/1.21 (E(f6(f4(x4091,f4(a1,x4092)),f5(x4093,a1)),f4(f6(x4091,f5(x4093,a1)),f4(a1,x4092)))),
% 0.54/1.21 inference(scs_inference,[],[100,48,49,51,358,386,398,355,107,357,213,216,105,65,86,85,33,13,2,3,78])).
% 0.54/1.21 cnf(421,plain,
% 0.54/1.21 (E(f4(x4211,f7(f19(x4212,a1,x4213))),f4(x4211,a2))),
% 0.54/1.21 inference(scs_inference,[],[100,48,49,51,358,367,386,398,355,294,107,357,213,216,105,65,86,85,33,13,2,3,78,62,66,63,27,24,20,18,5])).
% 0.54/1.21 cnf(432,plain,
% 0.54/1.21 (E(f16(x4321,f7(f19(x4322,a1,x4323))),f16(x4321,a2))),
% 0.54/1.21 inference(scs_inference,[],[100,48,49,51,358,367,386,398,355,294,107,235,357,213,216,105,65,86,85,33,13,2,3,78,62,66,63,27,24,20,18,5,67,68,82,25,23,22,19,15])).
% 0.54/1.21 cnf(445,plain,
% 0.54/1.21 (~E(f15(f6(x4451,f5(x4452,a1)),x4452),f6(f4(x4453,x4454),f5(x4455,x4454)))),
% 0.54/1.21 inference(scs_inference,[],[100,48,49,51,358,367,380,386,398,355,294,107,235,357,213,216,105,65,86,85,33,13,2,3,78,62,66,63,27,24,20,18,5,67,68,82,25,23,22,19,15,12,11,8,6,26,21,17,16,14,10,9,7,39])).
% 0.54/1.21 cnf(449,plain,
% 0.54/1.21 (P8(f6(x4491,f5(f19(x4492,a1,a3),f19(x4492,a1,a3))),f19(x4492,a1,a3),f19(x4492,a1,a3))),
% 0.54/1.21 inference(scs_inference,[],[100,48,49,51,53,358,367,380,353,386,398,355,294,107,235,357,213,216,105,65,86,85,33,13,2,3,78,62,66,63,27,24,20,18,5,67,68,82,25,23,22,19,15,12,11,8,6,26,21,17,16,14,10,9,7,39,42,36])).
% 0.54/1.21 cnf(451,plain,
% 0.54/1.21 (~P7(f16(f6(f8(f19(x4511,a1,x4512)),f5(x4513,x4514)),x4513))),
% 0.54/1.21 inference(scs_inference,[],[100,97,48,49,51,53,358,367,380,353,386,398,355,294,107,235,357,213,216,105,65,86,85,33,13,2,3,78,62,66,63,27,24,20,18,5,67,68,82,25,23,22,19,15,12,11,8,6,26,21,17,16,14,10,9,7,39,42,36,37])).
% 0.54/1.21 cnf(456,plain,
% 0.54/1.21 (P1(f16(f6(f4(a1,x4561),f5(x4562,x4563)),x4562),f4(a1,x4561))),
% 0.54/1.21 inference(rename_variables,[],[377])).
% 0.54/1.21 cnf(459,plain,
% 0.54/1.21 (E(f4(a1,x4591),a1)),
% 0.54/1.21 inference(rename_variables,[],[44])).
% 0.54/1.21 cnf(467,plain,
% 0.54/1.21 (E(f6(f4(x4671,f4(a1,x4672)),f5(x4673,a1)),f4(f6(x4671,f5(x4673,a1)),f4(a1,x4672)))),
% 0.54/1.21 inference(rename_variables,[],[409])).
% 0.54/1.21 cnf(469,plain,
% 0.54/1.21 (P4(f6(x4691,f5(x4692,x4693)),f15(f6(x4694,f5(x4695,x4692)),x4695))),
% 0.54/1.21 inference(rename_variables,[],[380])).
% 0.54/1.21 cnf(470,plain,
% 0.54/1.21 (E(f8(a1),f8(f4(a1,x4701)))),
% 0.54/1.21 inference(scs_inference,[],[52,94,406,409,467,377,456,362,180,380,296,44,459,65,43,82,29,30,34,38,13])).
% 0.54/1.21 cnf(476,plain,
% 0.54/1.21 (E(f4(x4761,f7(f19(x4762,a1,x4763))),f4(x4761,a2))),
% 0.54/1.21 inference(rename_variables,[],[421])).
% 0.54/1.21 cnf(481,plain,
% 0.54/1.21 (E(x4811,f16(f6(x4811,f5(x4812,x4813)),x4812))),
% 0.54/1.21 inference(rename_variables,[],[406])).
% 0.54/1.21 cnf(489,plain,
% 0.54/1.21 (P4(f6(x4891,f5(x4892,x4893)),f16(f6(x4892,f5(x4894,x4895)),x4894))),
% 0.54/1.21 inference(scs_inference,[],[52,50,94,406,481,451,332,445,449,409,467,377,456,421,476,362,315,180,380,469,296,341,327,54,44,459,65,43,82,29,30,34,38,13,39,42,36,35,2,3,76,83,72,37,69])).
% 0.54/1.21 cnf(494,plain,
% 0.54/1.21 (E(x4941,f15(f6(x4942,f5(x4943,x4941)),x4943))),
% 0.54/1.21 inference(rename_variables,[],[357])).
% 0.54/1.21 cnf(496,plain,
% 0.54/1.21 (P1(f15(f6(x4961,f5(x4962,a2)),x4962),x4963)),
% 0.54/1.21 inference(scs_inference,[],[101,94,198,154,357,494,45,82,31,32,28])).
% 0.54/1.21 cnf(499,plain,
% 0.54/1.21 (E(f16(f6(x4991,f5(x4992,x4993)),x4992),x4991)),
% 0.54/1.21 inference(rename_variables,[],[49])).
% 0.54/1.21 cnf(500,plain,
% 0.54/1.21 (~P4(f16(f6(a1,f5(x5001,x5002)),x5001),x5003)),
% 0.54/1.21 inference(scs_inference,[],[101,58,57,49,499,94,198,154,357,494,45,82,31,32,28,34,38])).
% 0.54/1.21 cnf(501,plain,
% 0.54/1.21 (E(f16(f6(x5011,f5(x5012,x5013)),x5012),x5011)),
% 0.54/1.21 inference(rename_variables,[],[49])).
% 0.54/1.21 cnf(503,plain,
% 0.54/1.21 (~E(f4(a1,x5031),f16(f6(f6(f4(x5032,x5033),f5(x5034,x5033)),f5(x5035,x5036)),x5035))),
% 0.54/1.21 inference(scs_inference,[],[101,58,57,49,499,94,352,198,154,292,357,494,45,82,31,32,28,34,38,13,3])).
% 0.54/1.21 cnf(507,plain,
% 0.54/1.21 (~E(a10,a1)),
% 0.54/1.21 inference(scs_inference,[],[101,58,57,49,499,55,94,331,352,198,305,154,292,357,494,45,82,31,32,28,34,38,13,3,2,64,11])).
% 0.54/1.21 cnf(515,plain,
% 0.54/1.21 (E(f15(f6(x5151,f5(x5152,x5153)),x5152),x5153)),
% 0.54/1.21 inference(rename_variables,[],[50])).
% 0.54/1.21 cnf(516,plain,
% 0.54/1.21 (E(f4(a1,x5161),f4(f4(a1,x5162),x5161))),
% 0.54/1.21 inference(scs_inference,[],[101,58,50,57,49,499,55,94,331,352,405,470,193,198,305,154,292,357,494,45,82,31,32,28,34,38,13,3,2,64,11,75,77,41,33,4])).
% 0.54/1.21 cnf(518,plain,
% 0.54/1.21 (~P5(f16(f6(f19(x5181,f4(a1,x5182),x5183),f5(x5184,x5185)),x5184),x5186)),
% 0.54/1.21 inference(scs_inference,[],[101,58,50,515,57,49,499,501,55,94,331,352,405,470,193,177,198,305,154,292,357,494,45,82,31,32,28,34,38,13,3,2,64,11,75,77,41,33,4,40,42])).
% 0.54/1.21 cnf(520,plain,
% 0.54/1.21 (~P4(a10,f14(a9))+~P1(f15(a10,f14(a9)),f14(a9))),
% 0.54/1.21 inference(scs_inference,[],[101,58,50,515,57,49,499,501,55,94,331,352,405,470,193,177,198,305,154,292,357,494,45,82,31,32,28,34,38,13,3,2,64,11,75,77,41,33,4,40,42,70])).
% 0.54/1.21 cnf(527,plain,
% 0.54/1.21 (~E(f8(f19(a9,a10,a11)),f19(x5271,x5272,a3))),
% 0.54/1.21 inference(rename_variables,[],[188])).
% 0.54/1.21 cnf(533,plain,
% 0.54/1.21 (E(f16(f6(x5331,f5(x5332,x5333)),x5332),x5331)),
% 0.54/1.21 inference(rename_variables,[],[49])).
% 0.54/1.21 cnf(538,plain,
% 0.54/1.21 (E(f16(f6(x5381,f5(x5382,x5383)),x5382),x5381)),
% 0.54/1.21 inference(rename_variables,[],[49])).
% 0.54/1.21 cnf(540,plain,
% 0.54/1.21 (E(f16(f6(x5401,f5(x5402,x5403)),x5402),x5401)),
% 0.54/1.21 inference(rename_variables,[],[49])).
% 0.54/1.21 cnf(550,plain,
% 0.54/1.21 (E(a1,f4(a1,x5501))),
% 0.54/1.21 inference(rename_variables,[],[94])).
% 0.54/1.21 cnf(551,plain,
% 0.54/1.21 (~P1(f15(a10,f14(a9)),f14(a9))),
% 0.54/1.21 inference(scs_inference,[],[48,95,49,533,538,94,489,518,238,500,503,393,516,507,432,188,341,406,54,213,73,84,43,11,41,33,29,40,34,38,37,13,42,2,3,520])).
% 0.54/1.21 cnf(554,plain,
% 0.54/1.21 (P1(f14(a9),f15(a10,f14(a9)))),
% 0.54/1.21 inference(scs_inference,[],[48,95,49,533,538,94,489,518,238,500,503,393,516,507,432,188,341,406,54,213,73,84,43,11,41,33,29,40,34,38,37,13,42,2,3,520,61,60])).
% 0.54/1.21 cnf(558,plain,
% 0.54/1.21 (~P9(f14(a9),f15(a10,f14(a9)))),
% 0.54/1.21 inference(scs_inference,[],[48,95,49,533,538,94,489,518,238,500,503,393,516,507,432,188,527,341,406,54,213,73,84,43,11,41,33,29,40,34,38,37,13,42,2,3,520,61,60,80,89])).
% 0.54/1.21 cnf(566,plain,
% 0.54/1.21 (~P1(f16(f6(f15(a10,f14(a9)),f5(x5661,x5662)),x5661),f14(a9))),
% 0.54/1.21 inference(scs_inference,[],[48,95,49,533,538,540,94,550,250,489,518,496,238,500,503,393,516,507,432,188,527,341,406,54,213,73,84,43,11,41,33,29,40,34,38,37,13,42,2,3,520,61,60,80,89,65,64,31,28])).
% 0.54/1.21 cnf(575,plain,
% 0.54/1.21 ($false),
% 0.54/1.21 inference(scs_inference,[],[558,566,554,551,60,64]),
% 0.54/1.21 ['proof']).
% 0.54/1.21 % SZS output end Proof
% 0.54/1.21 % Total time :0.550000s
%------------------------------------------------------------------------------