TSTP Solution File: NUN062+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUN062+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n016.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 12:45:20 EDT 2023
% Result : Theorem 1.09s 1.16s
% Output : CNFRefutation 1.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUN062+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 09:33:13 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 1.09/1.15 %-------------------------------------------
% 1.09/1.15 % File :CSE---1.6
% 1.09/1.15 % Problem :theBenchmark
% 1.09/1.15 % Transform :cnf
% 1.09/1.15 % Format :tptp:raw
% 1.09/1.15 % Command :java -jar mcs_scs.jar %d %s
% 1.09/1.16
% 1.09/1.16 % Result :Theorem 0.510000s
% 1.09/1.16 % Output :CNFRefutation 0.510000s
% 1.09/1.16 %-------------------------------------------
% 1.09/1.16 %------------------------------------------------------------------------------
% 1.09/1.16 % File : NUN062+2 : TPTP v8.1.2. Released v7.3.0.
% 1.09/1.16 % Domain : Number Theory
% 1.09/1.16 % Problem : Robinson arithmetic: There exist infinite numbers
% 1.09/1.16 % Version : Especial.
% 1.09/1.16 % English :
% 1.09/1.16
% 1.09/1.16 % Refs : [BBJ03] Boolos et al. (2003), Computability and Logic
% 1.09/1.16 % : [Smi07] Smith (2007), An Introduction to Goedel's Theorems
% 1.09/1.16 % : [Lam18] Lampert (2018), Email to Geoff Sutcliffe
% 1.09/1.16 % Source : [Lam18]
% 1.09/1.16 % Names : infiniteNumbers [Lam18]
% 1.09/1.16
% 1.09/1.16 % Status : Theorem
% 1.09/1.16 % Rating : 0.19 v8.1.0, 0.22 v7.4.0, 0.07 v7.3.0
% 1.09/1.16 % Syntax : Number of formulae : 12 ( 0 unt; 0 def)
% 1.09/1.16 % Number of atoms : 48 ( 19 equ)
% 1.09/1.16 % Maximal formula atoms : 5 ( 4 avg)
% 1.09/1.16 % Number of connectives : 52 ( 16 ~; 11 |; 25 &)
% 1.09/1.16 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 1.09/1.16 % Maximal formula depth : 9 ( 7 avg)
% 1.09/1.16 % Maximal term depth : 1 ( 1 avg)
% 1.09/1.16 % Number of predicates : 5 ( 4 usr; 0 prp; 1-3 aty)
% 1.09/1.16 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 1.09/1.16 % Number of variables : 48 ( 25 !; 23 ?)
% 1.09/1.16 % SPC : FOF_THM_RFO_SEQ
% 1.09/1.16
% 1.09/1.16 % Comments : Translated to FOL with equality.
% 1.09/1.16 %------------------------------------------------------------------------------
% 1.09/1.16 include('Axioms/NUM008+0.ax').
% 1.09/1.16 %------------------------------------------------------------------------------
% 1.09/1.16 fof(infiniteNumbers,conjecture,
% 1.09/1.16 ! [X1] :
% 1.09/1.16 ? [Y2,Y1] :
% 1.09/1.16 ( ! [Y4] :
% 1.09/1.16 ( ~ r1(Y4)
% 1.09/1.16 | Y1 != Y4 )
% 1.09/1.16 & ? [Y3] :
% 1.09/1.16 ( r3(X1,Y1,Y3)
% 1.09/1.16 & Y3 = Y2 ) ) ).
% 1.09/1.16
% 1.09/1.16 %------------------------------------------------------------------------------
% 1.09/1.16 %-------------------------------------------
% 1.09/1.16 % Proof found
% 1.09/1.16 % SZS status Theorem for theBenchmark
% 1.09/1.16 % SZS output start Proof
% 1.09/1.16 %ClaNum:66(EqnAxiom:37)
% 1.09/1.16 %VarNum:118(SingletonVarNum:56)
% 1.09/1.16 %MaxLitNum:4
% 1.09/1.16 %MaxfuncDepth:1
% 1.09/1.16 %SharedTerms:2
% 1.09/1.16 %goalClause: 65 66
% 1.09/1.16 [38]P1(f1(x381))
% 1.09/1.16 [39]P1(f4(x391))
% 1.09/1.16 [40]P1(f5(x401))
% 1.09/1.16 [43]P3(x431,f1(x431),x431)
% 1.09/1.16 [45]P4(x451,f5(x451),f4(x451))
% 1.09/1.16 [41]P2(x411,f6(x412,x411))
% 1.09/1.16 [42]P2(x421,f2(x422,x421))
% 1.09/1.16 [44]P2(f17(x441,x442),f7(x441,x442))
% 1.09/1.16 [46]P3(x461,x462,f17(x461,x462))
% 1.09/1.16 [47]P4(x471,x472,f3(x471,x472))
% 1.09/1.16 [48]P3(x481,f6(x481,x482),f7(x481,x482))
% 1.09/1.16 [49]P4(x491,f2(x491,x492),f18(x491,x492))
% 1.09/1.16 [50]P3(f3(x501,x502),x501,f18(x501,x502))
% 1.09/1.16 [51]P1(x511)+~E(x511,a8)
% 1.09/1.16 [52]~P1(x521)+E(x521,a8)
% 1.09/1.16 [53]E(f11(x531),x531)+E(f9(x531),x531)
% 1.09/1.16 [54]E(f11(x541),x541)+P1(f9(x541))
% 1.09/1.16 [57]P2(f10(x571),f11(x571))+E(f9(x571),x571)
% 1.09/1.16 [59]P2(f10(x591),f11(x591))+P1(f9(x591))
% 1.09/1.16 [55]P2(x551,x552)+~E(x552,f12(x551))
% 1.09/1.16 [56]~P2(x562,x561)+E(x561,f12(x562))
% 1.09/1.16 [61]P3(x611,x612,x613)+~E(x613,f15(x611,x612))
% 1.09/1.16 [62]P4(x621,x622,x623)+~E(x623,f16(x621,x622))
% 1.09/1.16 [63]~P3(x632,x633,x631)+E(x631,f15(x632,x633))
% 1.09/1.16 [64]~P4(x642,x643,x641)+E(x641,f16(x642,x643))
% 1.09/1.16 [58]~P1(x581)+~E(x581,x582)+~P2(x583,x582)
% 1.09/1.16 [65]~E(x651,x653)+~P3(a14,x652,x653)+E(f13(x651,x652),x652)
% 1.09/1.16 [66]~E(x661,x663)+~P3(a14,x662,x663)+P1(f13(x661,x662))
% 1.09/1.16 [60]~P2(x602,x604)+~P2(x601,x603)+E(x601,x602)+~E(x603,x604)
% 1.09/1.16 %EqnAxiom
% 1.09/1.16 [1]E(x11,x11)
% 1.09/1.16 [2]E(x22,x21)+~E(x21,x22)
% 1.09/1.16 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.09/1.16 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 1.09/1.16 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 1.09/1.16 [6]~E(x61,x62)+E(f5(x61),f5(x62))
% 1.09/1.16 [7]~E(x71,x72)+E(f6(x71,x73),f6(x72,x73))
% 1.09/1.16 [8]~E(x81,x82)+E(f6(x83,x81),f6(x83,x82))
% 1.09/1.16 [9]~E(x91,x92)+E(f2(x91,x93),f2(x92,x93))
% 1.09/1.16 [10]~E(x101,x102)+E(f2(x103,x101),f2(x103,x102))
% 1.09/1.16 [11]~E(x111,x112)+E(f13(x111,x113),f13(x112,x113))
% 1.09/1.16 [12]~E(x121,x122)+E(f13(x123,x121),f13(x123,x122))
% 1.09/1.16 [13]~E(x131,x132)+E(f17(x131,x133),f17(x132,x133))
% 1.09/1.16 [14]~E(x141,x142)+E(f17(x143,x141),f17(x143,x142))
% 1.09/1.16 [15]~E(x151,x152)+E(f7(x151,x153),f7(x152,x153))
% 1.09/1.16 [16]~E(x161,x162)+E(f7(x163,x161),f7(x163,x162))
% 1.09/1.16 [17]~E(x171,x172)+E(f16(x171,x173),f16(x172,x173))
% 1.09/1.16 [18]~E(x181,x182)+E(f16(x183,x181),f16(x183,x182))
% 1.09/1.16 [19]~E(x191,x192)+E(f15(x191,x193),f15(x192,x193))
% 1.09/1.16 [20]~E(x201,x202)+E(f15(x203,x201),f15(x203,x202))
% 1.09/1.16 [21]~E(x211,x212)+E(f11(x211),f11(x212))
% 1.09/1.16 [22]~E(x221,x222)+E(f3(x221,x223),f3(x222,x223))
% 1.09/1.16 [23]~E(x231,x232)+E(f3(x233,x231),f3(x233,x232))
% 1.09/1.17 [24]~E(x241,x242)+E(f10(x241),f10(x242))
% 1.09/1.17 [25]~E(x251,x252)+E(f9(x251),f9(x252))
% 1.09/1.17 [26]~E(x261,x262)+E(f12(x261),f12(x262))
% 1.09/1.17 [27]~E(x271,x272)+E(f18(x271,x273),f18(x272,x273))
% 1.09/1.17 [28]~E(x281,x282)+E(f18(x283,x281),f18(x283,x282))
% 1.09/1.17 [29]~P1(x291)+P1(x292)+~E(x291,x292)
% 1.09/1.17 [30]P3(x302,x303,x304)+~E(x301,x302)+~P3(x301,x303,x304)
% 1.09/1.17 [31]P3(x313,x312,x314)+~E(x311,x312)+~P3(x313,x311,x314)
% 1.09/1.17 [32]P3(x323,x324,x322)+~E(x321,x322)+~P3(x323,x324,x321)
% 1.09/1.17 [33]P2(x332,x333)+~E(x331,x332)+~P2(x331,x333)
% 1.09/1.17 [34]P2(x343,x342)+~E(x341,x342)+~P2(x343,x341)
% 1.09/1.17 [35]P4(x352,x353,x354)+~E(x351,x352)+~P4(x351,x353,x354)
% 1.09/1.17 [36]P4(x363,x362,x364)+~E(x361,x362)+~P4(x363,x361,x364)
% 1.09/1.17 [37]P4(x373,x374,x372)+~E(x371,x372)+~P4(x373,x374,x371)
% 1.09/1.17
% 1.09/1.17 %-------------------------------------------
% 1.09/1.17 cnf(67,plain,
% 1.09/1.17 (~E(f1(x671),f6(x672,x673))),
% 1.09/1.17 inference(scs_inference,[],[38,41,58])).
% 1.09/1.17 cnf(68,plain,
% 1.09/1.17 (~E(f6(x681,x682),f1(x683))),
% 1.09/1.17 inference(scs_inference,[],[38,41,58,2])).
% 1.09/1.17 cnf(69,plain,
% 1.09/1.17 (E(f1(x691),a8)),
% 1.09/1.17 inference(scs_inference,[],[38,41,58,2,52])).
% 1.09/1.17 cnf(71,plain,
% 1.09/1.17 (E(f6(x711,x712),f12(x712))),
% 1.09/1.17 inference(scs_inference,[],[38,41,58,2,52,56])).
% 1.09/1.17 cnf(73,plain,
% 1.09/1.17 (E(f18(x731,f1(x732)),f18(x731,a8))),
% 1.09/1.17 inference(scs_inference,[],[38,41,58,2,52,56,28])).
% 1.09/1.17 cnf(74,plain,
% 1.09/1.17 (E(f18(f1(x741),x742),f18(a8,x742))),
% 1.09/1.17 inference(scs_inference,[],[38,41,58,2,52,56,28,27])).
% 1.09/1.17 cnf(78,plain,
% 1.09/1.17 (E(f3(x781,f1(x782)),f3(x781,a8))),
% 1.09/1.17 inference(scs_inference,[],[38,41,58,2,52,56,28,27,26,25,24,23])).
% 1.09/1.17 cnf(81,plain,
% 1.09/1.17 (E(f15(x811,f1(x812)),f15(x811,a8))),
% 1.09/1.17 inference(scs_inference,[],[38,41,58,2,52,56,28,27,26,25,24,23,22,21,20])).
% 1.09/1.17 cnf(82,plain,
% 1.09/1.17 (E(f15(f1(x821),x822),f15(a8,x822))),
% 1.09/1.17 inference(scs_inference,[],[38,41,58,2,52,56,28,27,26,25,24,23,22,21,20,19])).
% 1.09/1.17 cnf(84,plain,
% 1.09/1.17 (E(f16(f1(x841),x842),f16(a8,x842))),
% 1.09/1.17 inference(scs_inference,[],[38,41,58,2,52,56,28,27,26,25,24,23,22,21,20,19,18,17])).
% 1.09/1.17 cnf(85,plain,
% 1.09/1.17 (E(f7(x851,f1(x852)),f7(x851,a8))),
% 1.09/1.17 inference(scs_inference,[],[38,41,58,2,52,56,28,27,26,25,24,23,22,21,20,19,18,17,16])).
% 1.09/1.17 cnf(86,plain,
% 1.09/1.17 (E(f7(f1(x861),x862),f7(a8,x862))),
% 1.09/1.17 inference(scs_inference,[],[38,41,58,2,52,56,28,27,26,25,24,23,22,21,20,19,18,17,16,15])).
% 1.09/1.17 cnf(91,plain,
% 1.09/1.17 (E(f2(x911,f1(x912)),f2(x911,a8))),
% 1.09/1.17 inference(scs_inference,[],[38,41,58,2,52,56,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10])).
% 1.09/1.17 cnf(92,plain,
% 1.09/1.17 (E(f2(f1(x921),x922),f2(a8,x922))),
% 1.09/1.17 inference(scs_inference,[],[38,41,58,2,52,56,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9])).
% 1.09/1.17 cnf(93,plain,
% 1.09/1.17 (E(f6(x931,f1(x932)),f6(x931,a8))),
% 1.09/1.17 inference(scs_inference,[],[38,41,58,2,52,56,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8])).
% 1.09/1.17 cnf(95,plain,
% 1.09/1.17 (E(f5(f1(x951)),f5(a8))),
% 1.09/1.17 inference(scs_inference,[],[38,41,58,2,52,56,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6])).
% 1.09/1.17 cnf(98,plain,
% 1.09/1.17 (E(f3(x981,x982),f16(x981,x982))),
% 1.09/1.17 inference(scs_inference,[],[38,47,41,58,2,52,56,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,64])).
% 1.09/1.17 cnf(100,plain,
% 1.09/1.17 (E(x1001,f15(x1001,f1(x1001)))),
% 1.09/1.17 inference(scs_inference,[],[38,43,47,41,58,2,52,56,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,64,63])).
% 1.09/1.17 cnf(102,plain,
% 1.09/1.17 (P1(a8)),
% 1.09/1.17 inference(scs_inference,[],[38,43,47,41,58,2,52,56,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,64,63,29])).
% 1.09/1.17 cnf(103,plain,
% 1.09/1.17 (~E(a8,f6(x1031,x1032))),
% 1.09/1.17 inference(scs_inference,[],[38,43,47,41,58,2,52,56,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,64,63,29,3])).
% 1.09/1.17 cnf(104,plain,
% 1.09/1.17 (~E(x1041,a14)+P1(f13(x1041,f1(a14)))),
% 1.09/1.17 inference(scs_inference,[],[38,43,47,41,58,2,52,56,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,64,63,29,3,66])).
% 1.09/1.17 cnf(107,plain,
% 1.09/1.17 (~P2(f1(x1071),f2(f1(x1071),f6(x1072,x1073)))),
% 1.09/1.17 inference(scs_inference,[],[38,43,47,41,42,58,2,52,56,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,64,63,29,3,66,60])).
% 1.09/1.17 cnf(110,plain,
% 1.09/1.17 (P2(a8,f12(f1(x1101)))),
% 1.09/1.17 inference(scs_inference,[],[38,43,47,41,42,58,2,52,56,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,64,63,29,3,66,60,55])).
% 1.09/1.17 cnf(114,plain,
% 1.09/1.17 (P3(x1141,a8,f15(x1141,f1(x1142)))),
% 1.09/1.17 inference(scs_inference,[],[38,43,47,41,42,58,2,52,56,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,64,63,29,3,66,60,55,62,61])).
% 1.09/1.17 cnf(135,plain,
% 1.09/1.17 (P1(f13(a14,f1(a14)))),
% 1.09/1.17 inference(equality_inference,[],[104])).
% 1.09/1.17 cnf(136,plain,
% 1.09/1.17 (~P1(f6(x1361,f1(x1362)))),
% 1.09/1.17 inference(scs_inference,[],[71,110,58])).
% 1.09/1.17 cnf(139,plain,
% 1.09/1.17 (P1(f13(a14,a8))),
% 1.09/1.17 inference(scs_inference,[],[100,71,114,110,58,66])).
% 1.09/1.17 cnf(140,plain,
% 1.09/1.17 (E(x1401,f15(x1401,f1(x1401)))),
% 1.09/1.17 inference(rename_variables,[],[100])).
% 1.09/1.17 cnf(141,plain,
% 1.09/1.17 (P3(x1411,a8,f15(x1411,f1(x1412)))),
% 1.09/1.17 inference(rename_variables,[],[114])).
% 1.09/1.17 cnf(143,plain,
% 1.09/1.17 (P3(x1431,f1(x1431),f15(x1431,f1(x1431)))),
% 1.09/1.17 inference(scs_inference,[],[43,100,140,71,114,110,58,66,32])).
% 1.09/1.17 cnf(150,plain,
% 1.09/1.17 (P2(f15(x1501,f1(x1501)),f6(x1502,x1501))),
% 1.09/1.17 inference(scs_inference,[],[45,48,43,47,41,100,140,71,114,110,58,66,32,30,2,36,35,33])).
% 1.09/1.17 cnf(152,plain,
% 1.09/1.17 (E(x1521,f15(x1521,a8))),
% 1.09/1.17 inference(scs_inference,[],[45,48,50,43,47,41,100,140,71,81,114,110,58,66,32,30,2,36,35,33,31,3])).
% 1.09/1.17 cnf(153,plain,
% 1.09/1.17 (E(x1531,f15(x1531,f1(x1531)))),
% 1.09/1.17 inference(rename_variables,[],[100])).
% 1.09/1.17 cnf(154,plain,
% 1.09/1.17 (E(f15(x1541,f1(x1542)),f15(x1541,a8))),
% 1.09/1.17 inference(rename_variables,[],[81])).
% 1.09/1.17 cnf(155,plain,
% 1.09/1.17 (P1(f15(a8,f1(a8)))),
% 1.09/1.17 inference(scs_inference,[],[45,48,50,43,47,41,100,140,71,81,114,110,58,66,32,30,2,36,35,33,31,3,51])).
% 1.09/1.17 cnf(160,plain,
% 1.09/1.17 (P1(f15(a8,a8))),
% 1.09/1.17 inference(scs_inference,[],[45,48,50,42,43,47,41,100,140,71,107,81,154,114,103,110,58,66,32,30,2,36,35,33,31,3,51,60,34,29])).
% 1.09/1.17 cnf(162,plain,
% 1.09/1.17 (E(f13(a14,a8),a8)),
% 1.09/1.17 inference(scs_inference,[],[45,48,50,42,43,47,41,100,140,153,71,107,81,154,114,141,103,110,58,66,32,30,2,36,35,33,31,3,51,60,34,29,65])).
% 1.09/1.17 cnf(168,plain,
% 1.09/1.17 (~E(f4(x1681),f6(x1682,f1(x1683)))),
% 1.09/1.17 inference(scs_inference,[],[39,136,51,29])).
% 1.09/1.17 cnf(169,plain,
% 1.09/1.17 (P2(f17(x1691,x1692),f15(f7(x1691,x1692),a8))),
% 1.09/1.17 inference(scs_inference,[],[39,44,136,152,51,29,34])).
% 1.09/1.17 cnf(171,plain,
% 1.09/1.17 (~E(f6(x1711,f1(x1712)),f13(a14,a8))),
% 1.09/1.17 inference(scs_inference,[],[39,44,136,152,162,51,29,34,3])).
% 1.09/1.17 cnf(177,plain,
% 1.09/1.17 (P2(f17(x1771,f1(x1772)),f7(x1771,a8))),
% 1.09/1.17 inference(scs_inference,[],[44,85,93,171,3,34])).
% 1.09/1.17 cnf(180,plain,
% 1.09/1.17 (E(f16(x1801,x1802),f3(x1801,x1802))),
% 1.09/1.17 inference(scs_inference,[],[44,98,85,93,171,3,34,2])).
% 1.09/1.17 cnf(182,plain,
% 1.09/1.17 (~P1(f2(x1821,f1(x1822)))),
% 1.09/1.17 inference(scs_inference,[],[42,91,58])).
% 1.09/1.17 cnf(183,plain,
% 1.09/1.17 (P2(x1831,f2(x1832,x1831))),
% 1.09/1.17 inference(rename_variables,[],[42])).
% 1.09/1.17 cnf(186,plain,
% 1.09/1.17 (P2(x1861,f2(x1862,x1861))),
% 1.09/1.17 inference(rename_variables,[],[42])).
% 1.09/1.17 cnf(195,plain,
% 1.09/1.17 (E(f4(x1951),f16(x1951,f5(x1951)))),
% 1.09/1.17 inference(scs_inference,[],[40,67,45,42,183,180,168,78,91,92,136,58,60,51,29,3,2,64])).
% 1.09/1.17 cnf(197,plain,
% 1.09/1.17 (E(f17(x1971,x1972),f15(x1971,x1972))),
% 1.09/1.17 inference(scs_inference,[],[40,67,46,45,42,183,180,168,78,91,92,136,58,60,51,29,3,2,64,63])).
% 1.09/1.17 cnf(201,plain,
% 1.09/1.17 (E(f2(x2011,x2012),f12(x2012))),
% 1.09/1.17 inference(scs_inference,[],[40,67,46,45,42,183,186,180,168,78,84,91,92,136,58,60,51,29,3,2,64,63,62,56])).
% 1.09/1.17 cnf(203,plain,
% 1.09/1.17 (E(f18(x2031,x2032),f18(f15(x2031,a8),x2032))),
% 1.09/1.17 inference(scs_inference,[],[40,67,46,45,42,183,186,180,168,78,84,91,92,152,136,58,60,51,29,3,2,64,63,62,56,27])).
% 1.09/1.17 cnf(205,plain,
% 1.09/1.17 (E(f3(x2051,x2052),f3(x2051,f15(x2052,a8)))),
% 1.09/1.17 inference(scs_inference,[],[40,67,46,45,42,183,186,180,168,78,84,91,92,152,136,58,60,51,29,3,2,64,63,62,56,27,25,23])).
% 1.09/1.17 cnf(207,plain,
% 1.09/1.17 (E(f15(x2071,x2072),f15(f15(x2071,a8),x2072))),
% 1.09/1.17 inference(scs_inference,[],[40,67,46,45,42,183,186,180,168,78,84,91,92,152,136,58,60,51,29,3,2,64,63,62,56,27,25,23,21,19])).
% 1.09/1.17 cnf(208,plain,
% 1.09/1.17 (E(f16(x2081,x2082),f16(f15(x2081,a8),x2082))),
% 1.09/1.17 inference(scs_inference,[],[40,67,46,45,42,183,186,180,168,78,84,91,92,152,136,58,60,51,29,3,2,64,63,62,56,27,25,23,21,19,17])).
% 1.09/1.17 cnf(209,plain,
% 1.09/1.17 (E(f7(x2091,x2092),f7(x2091,f15(x2092,a8)))),
% 1.09/1.17 inference(scs_inference,[],[40,67,46,45,42,183,186,180,168,78,84,91,92,152,136,58,60,51,29,3,2,64,63,62,56,27,25,23,21,19,17,16])).
% 1.09/1.17 cnf(210,plain,
% 1.09/1.17 (E(f17(x2101,x2102),f17(x2101,f15(x2102,a8)))),
% 1.09/1.17 inference(scs_inference,[],[40,67,46,45,42,183,186,180,168,78,84,91,92,152,136,58,60,51,29,3,2,64,63,62,56,27,25,23,21,19,17,16,14])).
% 1.09/1.17 cnf(211,plain,
% 1.09/1.17 (E(f17(x2111,x2112),f17(f15(x2111,a8),x2112))),
% 1.09/1.17 inference(scs_inference,[],[40,67,46,45,42,183,186,180,168,78,84,91,92,152,136,58,60,51,29,3,2,64,63,62,56,27,25,23,21,19,17,16,14,13])).
% 1.09/1.17 cnf(212,plain,
% 1.09/1.17 (E(f13(x2121,x2122),f13(f15(x2121,a8),x2122))),
% 1.09/1.17 inference(scs_inference,[],[40,67,46,45,42,183,186,180,168,78,84,91,92,152,136,58,60,51,29,3,2,64,63,62,56,27,25,23,21,19,17,16,14,13,11])).
% 1.09/1.17 cnf(218,plain,
% 1.09/1.17 (E(f5(x2181),a8)),
% 1.09/1.17 inference(scs_inference,[],[40,67,46,45,42,183,186,180,168,78,82,84,91,92,152,136,58,60,51,29,3,2,64,63,62,56,27,25,23,21,19,17,16,14,13,11,8,5,4,61,52])).
% 1.09/1.17 cnf(223,plain,
% 1.09/1.17 (E(f3(x2231,x2232),f3(f15(x2231,a8),x2232))),
% 1.09/1.17 inference(scs_inference,[],[40,67,46,45,42,183,186,180,168,78,82,84,91,92,152,136,58,60,51,29,3,2,64,63,62,56,27,25,23,21,19,17,16,14,13,11,8,5,4,61,52,28,26,24,22])).
% 1.09/1.17 cnf(224,plain,
% 1.09/1.17 (E(f15(x2241,x2242),f15(x2241,f15(x2242,a8)))),
% 1.09/1.17 inference(scs_inference,[],[40,67,46,45,42,183,186,180,168,78,82,84,91,92,152,136,58,60,51,29,3,2,64,63,62,56,27,25,23,21,19,17,16,14,13,11,8,5,4,61,52,28,26,24,22,20])).
% 1.09/1.17 cnf(225,plain,
% 1.09/1.17 (E(f16(x2251,x2252),f16(x2251,f15(x2252,a8)))),
% 1.09/1.17 inference(scs_inference,[],[40,67,46,45,42,183,186,180,168,78,82,84,91,92,152,136,58,60,51,29,3,2,64,63,62,56,27,25,23,21,19,17,16,14,13,11,8,5,4,61,52,28,26,24,22,20,18])).
% 1.09/1.17 cnf(226,plain,
% 1.09/1.17 (E(f7(x2261,x2262),f7(f15(x2261,a8),x2262))),
% 1.09/1.17 inference(scs_inference,[],[40,67,46,45,42,183,186,180,168,78,82,84,91,92,152,136,58,60,51,29,3,2,64,63,62,56,27,25,23,21,19,17,16,14,13,11,8,5,4,61,52,28,26,24,22,20,18,15])).
% 1.09/1.17 cnf(228,plain,
% 1.09/1.17 (E(f2(x2281,x2282),f2(x2281,f15(x2282,a8)))),
% 1.09/1.17 inference(scs_inference,[],[40,67,46,45,42,183,186,180,168,78,82,84,91,92,152,136,58,60,51,29,3,2,64,63,62,56,27,25,23,21,19,17,16,14,13,11,8,5,4,61,52,28,26,24,22,20,18,15,12,10])).
% 1.09/1.17 cnf(229,plain,
% 1.09/1.17 (E(f2(x2291,x2292),f2(f15(x2291,a8),x2292))),
% 1.09/1.17 inference(scs_inference,[],[40,67,46,45,42,183,186,180,168,78,82,84,91,92,152,136,58,60,51,29,3,2,64,63,62,56,27,25,23,21,19,17,16,14,13,11,8,5,4,61,52,28,26,24,22,20,18,15,12,10,9])).
% 1.09/1.17 cnf(231,plain,
% 1.09/1.17 (E(f5(x2311),f5(f15(x2311,a8)))),
% 1.09/1.17 inference(scs_inference,[],[40,67,46,45,42,183,186,180,168,78,82,84,91,92,152,136,58,60,51,29,3,2,64,63,62,56,27,25,23,21,19,17,16,14,13,11,8,5,4,61,52,28,26,24,22,20,18,15,12,10,9,7,6])).
% 1.09/1.17 cnf(234,plain,
% 1.09/1.17 (P2(f15(x2341,a8),f12(x2341))),
% 1.09/1.17 inference(scs_inference,[],[40,67,46,45,42,183,186,44,180,168,78,82,84,86,91,92,152,136,58,60,51,29,3,2,64,63,62,56,27,25,23,21,19,17,16,14,13,11,8,5,4,61,52,28,26,24,22,20,18,15,12,10,9,7,6,34,55])).
% 1.09/1.17 cnf(236,plain,
% 1.09/1.17 (~P2(x2361,f16(x2362,f5(x2362)))),
% 1.09/1.17 inference(scs_inference,[],[195,39,58])).
% 1.09/1.17 cnf(237,plain,
% 1.09/1.17 (E(f4(x2371),f16(x2371,f5(x2371)))),
% 1.09/1.17 inference(rename_variables,[],[195])).
% 1.09/1.17 cnf(239,plain,
% 1.09/1.17 (~E(f16(x2391,f5(x2391)),f12(x2392))),
% 1.09/1.17 inference(scs_inference,[],[195,39,58,55])).
% 1.09/1.17 cnf(241,plain,
% 1.09/1.17 (E(f13(f17(a14,x2411),f15(x2411,a8)),f15(x2411,a8))),
% 1.09/1.17 inference(scs_inference,[],[46,195,210,39,58,55,65])).
% 1.09/1.17 cnf(242,plain,
% 1.09/1.17 (E(f17(x2421,x2422),f17(x2421,f15(x2422,a8)))),
% 1.09/1.17 inference(rename_variables,[],[210])).
% 1.09/1.18 cnf(243,plain,
% 1.09/1.18 (P3(x2431,x2432,f17(x2431,x2432))),
% 1.09/1.18 inference(rename_variables,[],[46])).
% 1.09/1.18 cnf(250,plain,
% 1.09/1.18 (E(f17(x2501,x2502),f15(x2501,f15(x2502,a8)))),
% 1.09/1.18 inference(scs_inference,[],[46,44,195,197,210,242,226,177,39,58,55,65,60,3])).
% 1.09/1.18 cnf(251,plain,
% 1.09/1.18 (E(f17(x2511,x2512),f15(x2511,x2512))),
% 1.09/1.18 inference(rename_variables,[],[197])).
% 1.09/1.18 cnf(253,plain,
% 1.09/1.18 (E(f16(x2531,f5(x2531)),f4(x2531))),
% 1.09/1.18 inference(scs_inference,[],[46,44,195,237,197,210,242,226,177,39,58,55,65,60,3,34,2])).
% 1.09/1.18 cnf(254,plain,
% 1.09/1.18 (P1(f13(f17(a14,x2541),f15(x2541,a8)))),
% 1.09/1.18 inference(scs_inference,[],[46,243,44,195,237,197,210,242,226,177,39,58,55,65,60,3,34,2,66])).
% 1.09/1.18 cnf(260,plain,
% 1.09/1.18 (P3(a14,f15(x2601,a8),f15(a14,f15(x2601,a8)))),
% 1.09/1.18 inference(scs_inference,[],[48,46,243,47,44,195,237,197,251,210,242,226,177,39,152,58,55,65,60,3,34,2,66,30,36,32])).
% 1.09/1.18 cnf(261,plain,
% 1.09/1.18 (E(f17(x2611,x2612),f15(x2611,x2612))),
% 1.09/1.18 inference(rename_variables,[],[197])).
% 1.09/1.18 cnf(263,plain,
% 1.09/1.18 (P2(f15(x2631,x2632),f2(x2633,f17(x2631,x2632)))),
% 1.09/1.18 inference(scs_inference,[],[48,46,243,47,42,44,195,237,197,251,261,210,242,226,177,39,152,58,55,65,60,3,34,2,66,30,36,32,33])).
% 1.09/1.18 cnf(273,plain,
% 1.09/1.18 (P1(f13(f15(a14,x2731),f15(x2731,a8)))),
% 1.09/1.18 inference(scs_inference,[],[41,224,254,260,58,66])).
% 1.09/1.18 cnf(276,plain,
% 1.09/1.18 (~P2(f1(x2761),f12(f6(x2762,x2763)))),
% 1.09/1.18 inference(scs_inference,[],[41,68,42,201,224,254,260,58,66,60])).
% 1.09/1.18 cnf(277,plain,
% 1.09/1.18 (E(f2(x2771,x2772),f12(x2772))),
% 1.09/1.18 inference(rename_variables,[],[201])).
% 1.09/1.18 cnf(278,plain,
% 1.09/1.18 (P2(x2781,f2(x2782,x2781))),
% 1.09/1.18 inference(rename_variables,[],[42])).
% 1.09/1.18 cnf(280,plain,
% 1.09/1.18 (P4(x2801,f12(x2802),f18(x2801,x2802))),
% 1.09/1.18 inference(scs_inference,[],[41,68,49,42,201,277,224,254,260,58,66,60,36])).
% 1.09/1.18 cnf(282,plain,
% 1.09/1.18 (P3(f3(x2821,x2822),x2821,f18(x2821,x2822))),
% 1.09/1.18 inference(rename_variables,[],[50])).
% 1.09/1.18 cnf(283,plain,
% 1.09/1.18 (P2(a8,f6(x2831,f1(x2832)))),
% 1.09/1.18 inference(scs_inference,[],[41,68,69,50,49,42,201,277,205,224,254,260,58,66,60,36,30,33])).
% 1.09/1.18 cnf(288,plain,
% 1.09/1.18 (~E(f4(x2881),f12(x2882))),
% 1.09/1.18 inference(scs_inference,[],[41,68,69,50,282,49,43,47,42,253,201,277,239,203,205,224,254,260,58,66,60,36,30,33,32,31,35,3])).
% 1.09/1.18 cnf(289,plain,
% 1.09/1.18 (~E(f16(x2891,f5(x2891)),f12(x2892))),
% 1.09/1.18 inference(rename_variables,[],[239])).
% 1.09/1.18 cnf(290,plain,
% 1.09/1.18 (P2(x2901,f12(x2901))),
% 1.09/1.18 inference(scs_inference,[],[41,68,69,50,282,49,43,47,42,278,253,201,277,239,203,205,224,254,260,58,66,60,36,30,33,32,31,35,3,34])).
% 1.09/1.18 cnf(293,plain,
% 1.09/1.18 (~P4(x2931,f5(x2931),f12(x2932))),
% 1.09/1.18 inference(scs_inference,[],[41,68,69,50,282,49,43,47,42,278,253,201,277,239,289,203,205,224,254,260,58,66,60,36,30,33,32,31,35,3,34,2,64])).
% 1.09/1.18 cnf(302,plain,
% 1.09/1.18 (~P4(f15(x3021,a8),f5(x3021),f12(x3022))),
% 1.09/1.18 inference(scs_inference,[],[41,49,293,231,273,64,58,36])).
% 1.09/1.18 cnf(303,plain,
% 1.09/1.18 (~P4(x3031,f5(x3031),f12(x3032))),
% 1.09/1.18 inference(rename_variables,[],[293])).
% 1.09/1.18 cnf(304,plain,
% 1.09/1.18 (~P4(f1(x3041),f5(a8),f12(x3042))),
% 1.09/1.18 inference(scs_inference,[],[41,69,49,293,303,231,273,64,58,36,35])).
% 1.09/1.18 cnf(306,plain,
% 1.09/1.18 (E(f1(x3061),f15(a8,f1(a8)))),
% 1.09/1.18 inference(scs_inference,[],[41,69,49,293,303,231,273,100,64,58,36,35,3])).
% 1.09/1.18 cnf(308,plain,
% 1.09/1.18 (~E(f6(x3081,x3082),f16(x3083,f5(x3083)))),
% 1.09/1.18 inference(scs_inference,[],[41,69,49,236,293,303,231,273,100,64,58,36,35,3,34])).
% 1.09/1.18 cnf(310,plain,
% 1.09/1.18 (E(a8,f1(x3101))),
% 1.09/1.18 inference(scs_inference,[],[41,69,49,236,293,303,231,273,100,64,58,36,35,3,34,2])).
% 1.09/1.18 cnf(315,plain,
% 1.09/1.18 (~P4(x3151,f5(x3151),f6(x3152,x3153))),
% 1.09/1.18 inference(scs_inference,[],[308,208,62,64])).
% 1.09/1.18 cnf(317,plain,
% 1.09/1.18 (~P2(x3171,f13(f15(a14,a8),f1(a14)))),
% 1.09/1.18 inference(scs_inference,[],[308,208,212,135,62,64,58])).
% 1.09/1.18 cnf(320,plain,
% 1.09/1.18 (~P4(f15(x3201,a8),f5(x3201),f6(x3202,x3203))),
% 1.09/1.18 inference(scs_inference,[],[71,308,208,212,302,135,62,64,58,37])).
% 1.09/1.18 cnf(326,plain,
% 1.09/1.18 (~E(f4(x3261),f6(x3262,x3263))),
% 1.09/1.18 inference(scs_inference,[],[71,45,47,308,288,208,212,302,135,310,62,64,58,37,36,35,3])).
% 1.09/1.18 cnf(327,plain,
% 1.09/1.18 (E(f6(x3271,x3272),f12(x3272))),
% 1.09/1.18 inference(rename_variables,[],[71])).
% 1.09/1.18 cnf(329,plain,
% 1.09/1.18 (E(f6(x3291,x3292),f12(x3292))),
% 1.09/1.18 inference(rename_variables,[],[71])).
% 1.09/1.18 cnf(330,plain,
% 1.09/1.18 (~E(f16(x3301,f5(x3301)),f6(x3302,x3303))),
% 1.09/1.18 inference(scs_inference,[],[71,327,45,47,308,276,288,208,212,302,135,310,62,64,58,37,36,35,3,34,2])).
% 1.09/1.18 cnf(331,plain,
% 1.09/1.18 (E(f18(x3311,x3312),f15(f3(x3311,x3312),x3311))),
% 1.09/1.18 inference(scs_inference,[],[71,327,50,45,47,308,276,288,208,212,302,135,310,62,64,58,37,36,35,3,34,2,63])).
% 1.09/1.18 cnf(341,plain,
% 1.09/1.18 (E(f16(f5(x3411),x3412),f16(a8,x3412))),
% 1.09/1.18 inference(scs_inference,[],[71,327,50,45,44,47,308,276,288,306,208,212,302,135,218,310,62,64,58,37,36,35,3,34,2,63,56,52,61,25,21,17])).
% 1.09/1.18 cnf(342,plain,
% 1.09/1.18 (E(f7(x3421,f5(x3422)),f7(x3421,a8))),
% 1.09/1.18 inference(scs_inference,[],[71,327,50,45,44,47,308,276,288,306,208,212,302,135,218,310,62,64,58,37,36,35,3,34,2,63,56,52,61,25,21,17,16])).
% 1.09/1.18 cnf(352,plain,
% 1.09/1.18 (E(f16(x3521,f5(x3522)),f16(x3521,a8))),
% 1.09/1.18 inference(scs_inference,[],[71,327,50,45,44,47,308,276,288,306,208,212,302,135,218,310,62,64,58,37,36,35,3,34,2,63,56,52,61,25,21,17,16,13,11,5,27,24,23,22,20,19,18])).
% 1.09/1.18 cnf(359,plain,
% 1.09/1.18 (E(f5(f5(x3591)),f5(a8))),
% 1.09/1.18 inference(scs_inference,[],[71,327,50,45,44,47,308,276,288,306,208,212,302,135,218,310,62,64,58,37,36,35,3,34,2,63,56,52,61,25,21,17,16,13,11,5,27,24,23,22,20,19,18,15,14,10,9,8,7,6])).
% 1.09/1.18 cnf(362,plain,
% 1.09/1.18 (E(f12(f5(x3621)),f12(a8))),
% 1.09/1.18 inference(scs_inference,[],[71,327,50,45,44,47,308,276,288,306,208,212,302,135,218,310,62,64,58,37,36,35,3,34,2,63,56,52,61,25,21,17,16,13,11,5,27,24,23,22,20,19,18,15,14,10,9,8,7,6,4,28,26])).
% 1.09/1.18 cnf(369,plain,
% 1.09/1.18 (P2(a8,f12(f5(x3691)))),
% 1.09/1.18 inference(scs_inference,[],[42,71,327,329,50,45,44,47,290,308,276,288,306,208,212,302,135,218,310,103,62,64,58,37,36,35,3,34,2,63,56,52,61,25,21,17,16,13,11,5,27,24,23,22,20,19,18,15,14,10,9,8,7,6,4,28,26,12,60,29,55])).
% 1.09/1.18 cnf(377,plain,
% 1.09/1.18 (~P1(f6(x3771,x3772))),
% 1.09/1.18 inference(scs_inference,[],[71,280,320,234,317,62,55,64,58])).
% 1.09/1.18 cnf(378,plain,
% 1.09/1.18 (E(f6(x3781,x3782),f12(x3782))),
% 1.09/1.18 inference(rename_variables,[],[71])).
% 1.09/1.18 cnf(380,plain,
% 1.09/1.18 (~P4(f1(x3801),f5(a8),f6(x3802,x3803))),
% 1.09/1.18 inference(scs_inference,[],[71,378,280,320,234,317,304,62,55,64,58,37])).
% 1.09/1.18 cnf(381,plain,
% 1.09/1.18 (E(f6(x3811,x3812),f12(x3812))),
% 1.09/1.18 inference(rename_variables,[],[71])).
% 1.09/1.18 cnf(388,plain,
% 1.09/1.18 (E(f6(x3881,x3882),f12(x3882))),
% 1.09/1.18 inference(rename_variables,[],[71])).
% 1.09/1.18 cnf(391,plain,
% 1.09/1.18 (E(f12(x3911),f6(x3912,x3911))),
% 1.09/1.18 inference(scs_inference,[],[68,71,378,381,388,45,47,150,280,182,320,234,317,304,95,139,62,55,64,58,37,29,36,35,34,3,2])).
% 1.09/1.18 cnf(400,plain,
% 1.09/1.18 (~P1(f7(x4001,x4002))),
% 1.09/1.18 inference(scs_inference,[],[44,143,209,225,100,62,65,58])).
% 1.09/1.18 cnf(405,plain,
% 1.09/1.18 (~P1(f12(x4051))),
% 1.09/1.18 inference(scs_inference,[],[73,49,44,143,391,377,209,225,100,62,65,58,37,29])).
% 1.09/1.18 cnf(407,plain,
% 1.09/1.18 (~P4(a8,f5(f5(x4071)),f6(x4072,x4073))),
% 1.09/1.18 inference(scs_inference,[],[73,49,44,143,391,315,377,209,225,359,100,62,65,58,37,29,36])).
% 1.09/1.18 cnf(409,plain,
% 1.09/1.18 (~P4(f18(a8,x4091),f5(f3(a8,x4091)),f12(x4092))),
% 1.09/1.18 inference(scs_inference,[],[73,49,44,143,331,391,315,377,209,225,359,302,100,62,65,58,37,29,36,35])).
% 1.09/1.18 cnf(435,plain,
% 1.09/1.18 (E(f15(x4351,x4352),f15(f17(x4351,x4352),a8))),
% 1.09/1.18 inference(scs_inference,[],[263,400,228,380,42,62,51,60])).
% 1.09/1.18 cnf(442,plain,
% 1.09/1.18 (~P2(x4421,a8)),
% 1.09/1.18 inference(scs_inference,[],[44,69,263,400,211,228,380,38,42,62,51,60,33,58])).
% 1.09/1.18 cnf(443,plain,
% 1.09/1.18 (E(f1(x4431),a8)),
% 1.09/1.18 inference(rename_variables,[],[69])).
% 1.09/1.18 cnf(448,plain,
% 1.09/1.18 (P1(f15(f15(a8,a8),f1(a8)))),
% 1.09/1.18 inference(scs_inference,[],[48,50,71,44,69,263,400,207,211,223,228,342,380,155,38,42,62,51,60,33,58,30,31,32,29])).
% 1.09/1.18 cnf(452,plain,
% 1.09/1.18 (P4(f15(x4521,a8),f5(x4521),f4(x4521))),
% 1.09/1.18 inference(scs_inference,[],[48,50,45,71,44,69,443,47,263,400,207,211,223,228,342,380,155,38,42,152,62,51,60,33,58,30,31,32,29,36,35])).
% 1.09/1.18 cnf(455,plain,
% 1.09/1.18 (E(f18(x4551,f1(x4552)),f18(x4551,a8))),
% 1.09/1.18 inference(rename_variables,[],[73])).
% 1.09/1.18 cnf(461,plain,
% 1.09/1.18 (~E(a8,f12(x4611))),
% 1.09/1.18 inference(scs_inference,[],[73,455,48,50,45,71,44,69,443,47,263,400,207,211,223,228,74,341,342,380,155,236,38,42,152,62,51,60,33,58,30,31,32,29,36,35,3,34,2,55])).
% 1.09/1.18 cnf(477,plain,
% 1.09/1.18 (~E(f15(f15(a8,a8),f1(a8)),f12(x4771))),
% 1.09/1.18 inference(scs_inference,[],[44,67,45,71,405,229,452,352,409,448,231,42,62,64,60,58,37,36,29])).
% 1.09/1.18 cnf(484,plain,
% 1.09/1.18 (~P2(x4841,f1(x4842))),
% 1.09/1.18 inference(scs_inference,[],[44,67,45,71,69,330,405,229,452,435,352,409,448,442,231,42,62,64,60,58,37,36,29,35,3,34])).
% 1.09/1.18 cnf(495,plain,
% 1.09/1.18 (E(f16(a8,x4951),f16(f1(x4952),x4951))),
% 1.09/1.18 inference(scs_inference,[],[44,67,48,45,71,69,330,326,405,229,250,452,435,352,409,448,283,442,231,310,42,62,64,60,58,37,36,29,35,3,34,2,63,56,52,61,25,17])).
% 1.09/1.18 cnf(508,plain,
% 1.09/1.18 (E(f5(a8),f5(f1(x5081)))),
% 1.09/1.18 inference(scs_inference,[],[44,67,48,45,71,69,330,326,405,229,250,452,435,352,409,448,283,442,231,310,42,62,64,60,58,37,36,29,35,3,34,2,63,56,52,61,25,17,16,11,5,24,21,20,15,14,13,10,9,8,6])).
% 1.09/1.18 cnf(512,plain,
% 1.09/1.18 (E(f12(a8),f12(f1(x5121)))),
% 1.09/1.18 inference(scs_inference,[],[44,67,48,45,71,69,330,326,405,229,250,452,435,352,409,448,283,442,231,310,162,42,62,64,60,58,37,36,29,35,3,34,2,63,56,52,61,25,17,16,11,5,24,21,20,15,14,13,10,9,8,6,4,28,27,26])).
% 1.09/1.18 cnf(518,plain,
% 1.09/1.18 (P2(f1(x5181),f12(a8))),
% 1.09/1.18 inference(scs_inference,[],[44,67,48,45,71,69,330,326,405,229,250,452,435,352,409,448,283,442,231,310,162,42,62,64,60,58,37,36,29,35,3,34,2,63,56,52,61,25,17,16,11,5,24,21,20,15,14,13,10,9,8,6,4,28,27,26,23,22,19,18,12,55])).
% 1.09/1.18 cnf(538,plain,
% 1.09/1.18 (E(f6(x5381,a8),f12(f1(x5382)))),
% 1.09/1.18 inference(scs_inference,[],[44,74,67,49,71,69,484,477,508,512,518,407,160,320,304,290,56,62,55,60,58,37,36,35,3])).
% 1.09/1.18 cnf(551,plain,
% 1.09/1.18 (~P2(x5511,f15(a8,f1(a8)))),
% 1.09/1.18 inference(scs_inference,[],[495,538,102,100,62,55,58])).
% 1.09/1.18 cnf(578,plain,
% 1.09/1.18 ($false),
% 1.09/1.18 inference(scs_inference,[],[551,241,169,369,461,362,254,60,55,58]),
% 1.09/1.18 ['proof']).
% 1.09/1.18 % SZS output end Proof
% 1.09/1.18 % Total time :0.510000s
%------------------------------------------------------------------------------