TSTP Solution File: NUN087+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUN087+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 : n002.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 12:45:29 EDT 2023
% Result : Theorem 1.16s 1.24s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUN087+2 : TPTP v8.1.2. Released v7.3.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 09:43:18 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 1.16/1.23 %-------------------------------------------
% 1.16/1.23 % File :CSE---1.6
% 1.16/1.23 % Problem :theBenchmark
% 1.16/1.23 % Transform :cnf
% 1.16/1.23 % Format :tptp:raw
% 1.16/1.23 % Command :java -jar mcs_scs.jar %d %s
% 1.16/1.23
% 1.16/1.23 % Result :Theorem 0.600000s
% 1.16/1.23 % Output :CNFRefutation 0.600000s
% 1.16/1.23 %-------------------------------------------
% 1.16/1.24 %------------------------------------------------------------------------------
% 1.16/1.24 % File : NUN087+2 : TPTP v8.1.2. Released v7.3.0.
% 1.16/1.24 % Domain : Number Theory
% 1.16/1.24 % Problem : Robinson arithmetic: 0 * 0 = 0
% 1.16/1.24 % Version : Especial.
% 1.16/1.24 % English :
% 1.16/1.24
% 1.16/1.24 % Refs : [BBJ03] Boolos et al. (2003), Computability and Logic
% 1.16/1.24 % : [Smi07] Smith (2007), An Introduction to Goedel's Theorems
% 1.16/1.24 % : [Lam18] Lampert (2018), Email to Geoff Sutcliffe
% 1.16/1.24 % Source : [Lam18]
% 1.16/1.24 % Names : zerotimeszeroeqzero [Lam18]
% 1.16/1.24
% 1.16/1.24 % Status : Theorem
% 1.16/1.24 % Rating : 0.14 v8.1.0, 0.19 v7.5.0, 0.22 v7.4.0, 0.13 v7.3.0
% 1.16/1.24 % Syntax : Number of formulae : 12 ( 0 unt; 0 def)
% 1.16/1.24 % Number of atoms : 48 ( 18 equ)
% 1.16/1.24 % Maximal formula atoms : 5 ( 4 avg)
% 1.16/1.24 % Number of connectives : 50 ( 14 ~; 10 |; 26 &)
% 1.16/1.24 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 1.16/1.24 % Maximal formula depth : 9 ( 7 avg)
% 1.16/1.24 % Maximal term depth : 1 ( 1 avg)
% 1.16/1.24 % Number of predicates : 5 ( 4 usr; 0 prp; 1-3 aty)
% 1.16/1.24 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 1.16/1.24 % Number of variables : 46 ( 23 !; 23 ?)
% 1.16/1.24 % SPC : FOF_THM_RFO_SEQ
% 1.16/1.24
% 1.16/1.24 % Comments : Translated to FOL with equality.
% 1.16/1.24 %------------------------------------------------------------------------------
% 1.16/1.24 include('Axioms/NUM008+0.ax').
% 1.16/1.24 %------------------------------------------------------------------------------
% 1.16/1.24 fof(zerotimeszeroeqzero,conjecture,
% 1.16/1.24 ? [Y1] :
% 1.16/1.24 ( ? [Y2] :
% 1.16/1.24 ( r1(Y2)
% 1.16/1.24 & r4(Y2,Y2,Y1) )
% 1.16/1.24 & ? [Y3] :
% 1.16/1.24 ( r1(Y3)
% 1.16/1.24 & Y1 = Y3 ) ) ).
% 1.16/1.24
% 1.16/1.24 %------------------------------------------------------------------------------
% 1.16/1.24 %-------------------------------------------
% 1.16/1.24 % Proof found
% 1.16/1.24 % SZS status Theorem for theBenchmark
% 1.16/1.24 % SZS output start Proof
% 1.16/1.24 %ClaNum:63(EqnAxiom:35)
% 1.16/1.24 %VarNum:112(SingletonVarNum:53)
% 1.16/1.24 %MaxLitNum:4
% 1.16/1.24 %MaxfuncDepth:1
% 1.16/1.24 %SharedTerms:1
% 1.16/1.24 %goalClause: 63
% 1.16/1.24 [36]P1(f1(x361))
% 1.16/1.24 [37]P1(f4(x371))
% 1.16/1.24 [38]P1(f5(x381))
% 1.16/1.24 [41]P3(x411,f1(x411),x411)
% 1.16/1.24 [43]P4(x431,f5(x431),f4(x431))
% 1.16/1.24 [39]P2(x391,f6(x392,x391))
% 1.16/1.24 [40]P2(x401,f2(x402,x401))
% 1.16/1.24 [42]P2(f15(x421,x422),f7(x421,x422))
% 1.16/1.24 [44]P3(x441,x442,f15(x441,x442))
% 1.16/1.24 [45]P4(x451,x452,f3(x451,x452))
% 1.16/1.24 [46]P3(x461,f6(x461,x462),f7(x461,x462))
% 1.16/1.24 [47]P4(x471,f2(x471,x472),f16(x471,x472))
% 1.16/1.24 [48]P3(f3(x481,x482),x481,f16(x481,x482))
% 1.16/1.24 [49]P1(x491)+~E(x491,a8)
% 1.16/1.24 [50]~P1(x501)+E(x501,a8)
% 1.16/1.24 [51]E(f11(x511),x511)+E(f9(x511),x511)
% 1.16/1.24 [52]E(f11(x521),x521)+P1(f9(x521))
% 1.16/1.24 [55]P2(f10(x551),f11(x551))+E(f9(x551),x551)
% 1.16/1.24 [57]P2(f10(x571),f11(x571))+P1(f9(x571))
% 1.16/1.24 [53]P2(x531,x532)+~E(x532,f12(x531))
% 1.16/1.24 [54]~P2(x542,x541)+E(x541,f12(x542))
% 1.16/1.24 [59]P3(x591,x592,x593)+~E(x593,f13(x591,x592))
% 1.16/1.24 [60]P4(x601,x602,x603)+~E(x603,f14(x601,x602))
% 1.16/1.24 [61]~P3(x612,x613,x611)+E(x611,f13(x612,x613))
% 1.16/1.24 [62]~P4(x622,x623,x621)+E(x621,f14(x622,x623))
% 1.16/1.24 [56]~P1(x561)+~E(x561,x562)+~P2(x563,x562)
% 1.16/1.24 [63]~P1(x632)+~P4(x633,x633,x631)+~E(x631,x632)+~P1(x633)
% 1.16/1.24 [58]~P2(x582,x584)+~P2(x581,x583)+E(x581,x582)+~E(x583,x584)
% 1.16/1.24 %EqnAxiom
% 1.16/1.24 [1]E(x11,x11)
% 1.16/1.24 [2]E(x22,x21)+~E(x21,x22)
% 1.16/1.24 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.16/1.24 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 1.16/1.24 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 1.16/1.24 [6]~E(x61,x62)+E(f5(x61),f5(x62))
% 1.16/1.24 [7]~E(x71,x72)+E(f6(x71,x73),f6(x72,x73))
% 1.16/1.24 [8]~E(x81,x82)+E(f6(x83,x81),f6(x83,x82))
% 1.16/1.24 [9]~E(x91,x92)+E(f2(x91,x93),f2(x92,x93))
% 1.16/1.24 [10]~E(x101,x102)+E(f2(x103,x101),f2(x103,x102))
% 1.16/1.24 [11]~E(x111,x112)+E(f14(x111,x113),f14(x112,x113))
% 1.16/1.24 [12]~E(x121,x122)+E(f14(x123,x121),f14(x123,x122))
% 1.16/1.24 [13]~E(x131,x132)+E(f15(x131,x133),f15(x132,x133))
% 1.16/1.24 [14]~E(x141,x142)+E(f15(x143,x141),f15(x143,x142))
% 1.16/1.24 [15]~E(x151,x152)+E(f7(x151,x153),f7(x152,x153))
% 1.16/1.24 [16]~E(x161,x162)+E(f7(x163,x161),f7(x163,x162))
% 1.16/1.24 [17]~E(x171,x172)+E(f10(x171),f10(x172))
% 1.16/1.24 [18]~E(x181,x182)+E(f13(x181,x183),f13(x182,x183))
% 1.16/1.24 [19]~E(x191,x192)+E(f13(x193,x191),f13(x193,x192))
% 1.16/1.24 [20]~E(x201,x202)+E(f9(x201),f9(x202))
% 1.16/1.24 [21]~E(x211,x212)+E(f3(x211,x213),f3(x212,x213))
% 1.16/1.24 [22]~E(x221,x222)+E(f3(x223,x221),f3(x223,x222))
% 1.16/1.24 [23]~E(x231,x232)+E(f12(x231),f12(x232))
% 1.16/1.24 [24]~E(x241,x242)+E(f11(x241),f11(x242))
% 1.16/1.24 [25]~E(x251,x252)+E(f16(x251,x253),f16(x252,x253))
% 1.16/1.24 [26]~E(x261,x262)+E(f16(x263,x261),f16(x263,x262))
% 1.16/1.24 [27]~P1(x271)+P1(x272)+~E(x271,x272)
% 1.16/1.24 [28]P4(x282,x283,x284)+~E(x281,x282)+~P4(x281,x283,x284)
% 1.16/1.24 [29]P4(x293,x292,x294)+~E(x291,x292)+~P4(x293,x291,x294)
% 1.16/1.24 [30]P4(x303,x304,x302)+~E(x301,x302)+~P4(x303,x304,x301)
% 1.16/1.24 [31]P2(x312,x313)+~E(x311,x312)+~P2(x311,x313)
% 1.16/1.24 [32]P2(x323,x322)+~E(x321,x322)+~P2(x323,x321)
% 1.16/1.24 [33]P3(x332,x333,x334)+~E(x331,x332)+~P3(x331,x333,x334)
% 1.16/1.24 [34]P3(x343,x342,x344)+~E(x341,x342)+~P3(x343,x341,x344)
% 1.16/1.24 [35]P3(x353,x354,x352)+~E(x351,x352)+~P3(x353,x354,x351)
% 1.16/1.24
% 1.16/1.24 %-------------------------------------------
% 1.16/1.25 cnf(64,plain,
% 1.16/1.25 (~E(f1(x641),f6(x642,x643))),
% 1.16/1.25 inference(scs_inference,[],[36,39,56])).
% 1.16/1.25 cnf(65,plain,
% 1.16/1.25 (~E(f6(x651,x652),f1(x653))),
% 1.16/1.25 inference(scs_inference,[],[36,39,56,2])).
% 1.16/1.25 cnf(66,plain,
% 1.16/1.25 (E(f1(x661),a8)),
% 1.16/1.25 inference(scs_inference,[],[36,39,56,2,50])).
% 1.16/1.25 cnf(68,plain,
% 1.16/1.25 (E(f6(x681,x682),f12(x682))),
% 1.16/1.25 inference(scs_inference,[],[36,39,56,2,50,54])).
% 1.16/1.25 cnf(70,plain,
% 1.16/1.25 (E(f16(x701,f1(x702)),f16(x701,a8))),
% 1.16/1.25 inference(scs_inference,[],[36,39,56,2,50,54,26])).
% 1.16/1.25 cnf(71,plain,
% 1.16/1.25 (E(f16(f1(x711),x712),f16(a8,x712))),
% 1.16/1.25 inference(scs_inference,[],[36,39,56,2,50,54,26,25])).
% 1.16/1.25 cnf(73,plain,
% 1.16/1.25 (E(f12(f1(x731)),f12(a8))),
% 1.16/1.25 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23])).
% 1.16/1.25 cnf(74,plain,
% 1.16/1.25 (E(f3(x741,f1(x742)),f3(x741,a8))),
% 1.16/1.25 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22])).
% 1.16/1.25 cnf(75,plain,
% 1.16/1.25 (E(f3(f1(x751),x752),f3(a8,x752))),
% 1.16/1.25 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21])).
% 1.16/1.25 cnf(77,plain,
% 1.16/1.25 (E(f13(x771,f1(x772)),f13(x771,a8))),
% 1.16/1.25 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19])).
% 1.16/1.25 cnf(78,plain,
% 1.16/1.25 (E(f13(f1(x781),x782),f13(a8,x782))),
% 1.16/1.25 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18])).
% 1.16/1.25 cnf(80,plain,
% 1.16/1.25 (E(f7(x801,f1(x802)),f7(x801,a8))),
% 1.16/1.25 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16])).
% 1.16/1.25 cnf(83,plain,
% 1.16/1.25 (E(f15(f1(x831),x832),f15(a8,x832))),
% 1.16/1.25 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13])).
% 1.16/1.25 cnf(84,plain,
% 1.16/1.25 (E(f14(x841,f1(x842)),f14(x841,a8))),
% 1.16/1.25 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12])).
% 1.16/1.25 cnf(85,plain,
% 1.16/1.25 (E(f14(f1(x851),x852),f14(a8,x852))),
% 1.16/1.25 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11])).
% 1.16/1.25 cnf(87,plain,
% 1.16/1.25 (E(f2(f1(x871),x872),f2(a8,x872))),
% 1.16/1.25 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9])).
% 1.16/1.25 cnf(89,plain,
% 1.16/1.25 (E(f6(f1(x891),x892),f6(a8,x892))),
% 1.16/1.25 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7])).
% 1.16/1.25 cnf(90,plain,
% 1.16/1.25 (E(f5(f1(x901)),f5(a8))),
% 1.16/1.25 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6])).
% 1.16/1.25 cnf(91,plain,
% 1.16/1.25 (E(f4(f1(x911)),f4(a8))),
% 1.16/1.25 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 1.16/1.25 cnf(92,plain,
% 1.16/1.25 (E(f1(f1(x921)),f1(a8))),
% 1.16/1.25 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 1.16/1.25 cnf(93,plain,
% 1.16/1.25 (E(f3(x931,x932),f14(x931,x932))),
% 1.16/1.25 inference(scs_inference,[],[36,45,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,62])).
% 1.16/1.25 cnf(95,plain,
% 1.16/1.25 (E(x951,f13(x951,f1(x951)))),
% 1.16/1.25 inference(scs_inference,[],[36,41,45,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,62,61])).
% 1.16/1.25 cnf(97,plain,
% 1.16/1.25 (P1(a8)),
% 1.16/1.25 inference(scs_inference,[],[36,41,45,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,62,61,27])).
% 1.16/1.25 cnf(98,plain,
% 1.16/1.25 (~E(a8,f6(x981,x982))),
% 1.16/1.25 inference(scs_inference,[],[36,41,45,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,62,61,27,3])).
% 1.16/1.25 cnf(99,plain,
% 1.16/1.25 (~E(f3(f1(x991),f1(x991)),f1(x991))),
% 1.16/1.25 inference(scs_inference,[],[36,41,45,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,62,61,27,3,63])).
% 1.16/1.25 cnf(104,plain,
% 1.16/1.25 (P2(a8,f12(f1(x1041)))),
% 1.16/1.25 inference(scs_inference,[],[36,41,45,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,62,61,27,3,63,58,53])).
% 1.16/1.25 cnf(106,plain,
% 1.16/1.25 (P4(x1061,a8,f14(x1061,f1(x1062)))),
% 1.16/1.25 inference(scs_inference,[],[36,41,45,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,62,61,27,3,63,58,53,60])).
% 1.16/1.25 cnf(123,plain,
% 1.16/1.25 (~P1(f6(x1231,f1(x1232)))),
% 1.16/1.25 inference(scs_inference,[],[68,104,56])).
% 1.16/1.25 cnf(126,plain,
% 1.16/1.25 (~E(f3(f4(x1261),f4(x1261)),f4(x1261))),
% 1.16/1.25 inference(scs_inference,[],[37,45,68,104,56,63])).
% 1.16/1.25 cnf(127,plain,
% 1.16/1.25 (P4(x1271,x1272,f3(x1271,x1272))),
% 1.16/1.25 inference(rename_variables,[],[45])).
% 1.16/1.25 cnf(131,plain,
% 1.16/1.25 (P3(f13(x1311,f1(x1311)),f6(x1311,x1312),f7(x1311,x1312))),
% 1.16/1.25 inference(scs_inference,[],[37,46,48,41,45,95,68,104,56,63,35,34,33])).
% 1.16/1.25 cnf(133,plain,
% 1.16/1.25 (P2(f13(x1331,f1(x1331)),f2(x1332,x1331))),
% 1.16/1.25 inference(scs_inference,[],[40,37,46,48,41,45,95,68,104,56,63,35,34,33,2,31])).
% 1.16/1.25 cnf(137,plain,
% 1.16/1.25 (E(x1371,f13(x1371,a8))),
% 1.16/1.25 inference(scs_inference,[],[40,37,43,46,48,41,45,127,95,68,77,104,56,63,35,34,33,2,31,29,28,3])).
% 1.16/1.25 cnf(140,plain,
% 1.16/1.25 (P1(f13(a8,f1(a8)))),
% 1.16/1.25 inference(scs_inference,[],[40,37,43,46,48,41,45,127,95,68,77,104,56,63,35,34,33,2,31,29,28,3,49])).
% 1.16/1.25 cnf(149,plain,
% 1.16/1.25 (~E(f1(x1491),f3(f1(x1491),f1(x1491)))),
% 1.16/1.25 inference(scs_inference,[],[99,123,49,2])).
% 1.16/1.25 cnf(150,plain,
% 1.16/1.25 (~E(f4(x1501),f6(x1502,f1(x1503)))),
% 1.16/1.25 inference(scs_inference,[],[37,99,123,49,2,27])).
% 1.16/1.25 cnf(152,plain,
% 1.16/1.25 (E(x1521,f13(x1521,a8))),
% 1.16/1.25 inference(rename_variables,[],[137])).
% 1.16/1.25 cnf(157,plain,
% 1.16/1.25 (~P1(f3(f1(x1571),a8))),
% 1.16/1.25 inference(scs_inference,[],[37,47,42,40,45,99,123,137,152,74,36,49,2,27,32,30,58,63])).
% 1.16/1.25 cnf(169,plain,
% 1.16/1.25 (~P2(f1(x1691),f2(f1(x1692),f6(x1693,x1694)))),
% 1.16/1.25 inference(scs_inference,[],[64,42,40,80,87,56,58])).
% 1.16/1.25 cnf(177,plain,
% 1.16/1.25 (P1(f13(a8,a8))),
% 1.16/1.25 inference(scs_inference,[],[37,64,42,40,70,80,106,97,87,137,56,58,63,2,27])).
% 1.16/1.25 cnf(179,plain,
% 1.16/1.25 (~E(f14(f4(x1791),f4(x1791)),f4(x1791))),
% 1.16/1.25 inference(scs_inference,[],[37,64,42,40,126,70,80,106,97,87,93,137,56,58,63,2,27,3])).
% 1.16/1.25 cnf(183,plain,
% 1.16/1.25 (~E(f5(x1831),f7(x1832,x1833))),
% 1.16/1.25 inference(scs_inference,[],[38,42,56])).
% 1.16/1.25 cnf(186,plain,
% 1.16/1.25 (E(f6(f1(x1861),x1862),f6(a8,x1862))),
% 1.16/1.25 inference(rename_variables,[],[89])).
% 1.16/1.25 cnf(190,plain,
% 1.16/1.25 (P1(f5(x1901))),
% 1.16/1.25 inference(rename_variables,[],[38])).
% 1.16/1.25 cnf(192,plain,
% 1.16/1.25 (~E(f4(x1921),f14(f4(x1921),f4(x1921)))),
% 1.16/1.25 inference(scs_inference,[],[38,65,42,39,179,90,89,56,58,63,2])).
% 1.16/1.25 cnf(195,plain,
% 1.16/1.25 (E(f3(x1951,f1(x1952)),f3(x1951,a8))),
% 1.16/1.25 inference(rename_variables,[],[74])).
% 1.16/1.25 cnf(196,plain,
% 1.16/1.25 (~P1(f3(f1(x1961),f1(x1962)))),
% 1.16/1.25 inference(scs_inference,[],[38,65,42,39,179,75,90,89,74,195,157,56,58,63,2,3,27])).
% 1.16/1.25 cnf(198,plain,
% 1.16/1.25 (E(f15(x1981,x1982),f13(x1981,x1982))),
% 1.16/1.25 inference(scs_inference,[],[38,65,44,42,39,179,75,90,89,74,195,157,56,58,63,2,3,27,61])).
% 1.16/1.25 cnf(202,plain,
% 1.16/1.25 (E(f7(x2021,x2022),f12(f15(x2021,x2022)))),
% 1.16/1.25 inference(scs_inference,[],[38,65,44,42,39,179,75,78,90,89,74,195,157,56,58,63,2,3,27,61,59,54])).
% 1.16/1.25 cnf(204,plain,
% 1.16/1.25 (E(f16(x2041,x2042),f16(f13(x2041,a8),x2042))),
% 1.16/1.25 inference(scs_inference,[],[38,65,44,42,39,179,75,78,90,89,74,195,157,137,56,58,63,2,3,27,61,59,54,25])).
% 1.16/1.25 cnf(205,plain,
% 1.16/1.25 (E(f12(x2051),f12(f13(x2051,a8)))),
% 1.16/1.25 inference(scs_inference,[],[38,65,44,42,39,179,75,78,90,89,74,195,157,137,56,58,63,2,3,27,61,59,54,25,23])).
% 1.16/1.25 cnf(206,plain,
% 1.16/1.25 (E(f3(x2061,x2062),f3(x2061,f13(x2062,a8)))),
% 1.16/1.25 inference(scs_inference,[],[38,65,44,42,39,179,75,78,90,89,74,195,157,137,56,58,63,2,3,27,61,59,54,25,23,22])).
% 1.16/1.25 cnf(207,plain,
% 1.16/1.25 (E(f13(x2071,x2072),f13(f13(x2071,a8),x2072))),
% 1.16/1.25 inference(scs_inference,[],[38,65,44,42,39,179,75,78,90,89,74,195,157,137,56,58,63,2,3,27,61,59,54,25,23,22,18])).
% 1.16/1.25 cnf(209,plain,
% 1.16/1.25 (E(f14(x2091,x2092),f14(x2091,f13(x2092,a8)))),
% 1.16/1.25 inference(scs_inference,[],[38,65,44,42,39,179,75,78,90,89,74,195,157,137,56,58,63,2,3,27,61,59,54,25,23,22,18,17,12])).
% 1.16/1.25 cnf(210,plain,
% 1.16/1.25 (E(f2(x2101,x2102),f2(x2101,f13(x2102,a8)))),
% 1.16/1.25 inference(scs_inference,[],[38,65,44,42,39,179,75,78,90,89,74,195,157,137,56,58,63,2,3,27,61,59,54,25,23,22,18,17,12,10])).
% 1.16/1.25 cnf(211,plain,
% 1.16/1.25 (E(f2(x2111,x2112),f2(f13(x2111,a8),x2112))),
% 1.16/1.25 inference(scs_inference,[],[38,65,44,42,39,179,75,78,90,89,74,195,157,137,56,58,63,2,3,27,61,59,54,25,23,22,18,17,12,10,9])).
% 1.16/1.25 cnf(212,plain,
% 1.16/1.25 (E(f4(x2121),f14(x2121,f5(x2121)))),
% 1.16/1.25 inference(scs_inference,[],[38,65,44,43,42,39,179,75,78,90,89,74,195,157,137,56,58,63,2,3,27,61,59,54,25,23,22,18,17,12,10,9,62])).
% 1.16/1.25 cnf(214,plain,
% 1.16/1.25 (P4(a8,x2141,f14(f1(x2142),x2141))),
% 1.16/1.25 inference(scs_inference,[],[38,65,44,43,42,39,179,75,78,85,90,89,74,195,157,137,56,58,63,2,3,27,61,59,54,25,23,22,18,17,12,10,9,62,60])).
% 1.16/1.25 cnf(216,plain,
% 1.16/1.25 (E(f5(x2161),a8)),
% 1.16/1.25 inference(scs_inference,[],[38,190,65,44,43,42,39,179,75,78,85,90,89,74,195,157,137,56,58,63,2,3,27,61,59,54,25,23,22,18,17,12,10,9,62,60,50])).
% 1.16/1.25 cnf(220,plain,
% 1.16/1.25 (E(f3(x2201,x2202),f3(f13(x2201,a8),x2202))),
% 1.16/1.25 inference(scs_inference,[],[38,190,65,44,43,42,39,179,75,78,85,90,89,74,195,157,137,56,58,63,2,3,27,61,59,54,25,23,22,18,17,12,10,9,62,60,50,26,24,21])).
% 1.16/1.25 cnf(222,plain,
% 1.16/1.25 (E(f13(x2221,x2222),f13(x2221,f13(x2222,a8)))),
% 1.16/1.25 inference(scs_inference,[],[38,190,65,44,43,42,39,179,75,78,85,90,89,74,195,157,137,56,58,63,2,3,27,61,59,54,25,23,22,18,17,12,10,9,62,60,50,26,24,21,20,19])).
% 1.16/1.25 cnf(223,plain,
% 1.16/1.25 (E(f7(x2231,x2232),f7(x2231,f13(x2232,a8)))),
% 1.16/1.25 inference(scs_inference,[],[38,190,65,44,43,42,39,179,75,78,85,90,89,74,195,157,137,56,58,63,2,3,27,61,59,54,25,23,22,18,17,12,10,9,62,60,50,26,24,21,20,19,16])).
% 1.16/1.25 cnf(225,plain,
% 1.16/1.25 (E(f15(x2251,x2252),f15(x2251,f13(x2252,a8)))),
% 1.16/1.25 inference(scs_inference,[],[38,190,65,44,43,42,39,179,75,78,85,90,89,74,195,157,137,56,58,63,2,3,27,61,59,54,25,23,22,18,17,12,10,9,62,60,50,26,24,21,20,19,16,15,14])).
% 1.16/1.25 cnf(226,plain,
% 1.16/1.25 (E(f15(x2261,x2262),f15(f13(x2261,a8),x2262))),
% 1.16/1.25 inference(scs_inference,[],[38,190,65,44,43,42,39,179,75,78,85,90,89,74,195,157,137,56,58,63,2,3,27,61,59,54,25,23,22,18,17,12,10,9,62,60,50,26,24,21,20,19,16,15,14,13])).
% 1.16/1.25 cnf(227,plain,
% 1.16/1.25 (E(f14(x2271,x2272),f14(f13(x2271,a8),x2272))),
% 1.16/1.25 inference(scs_inference,[],[38,190,65,44,43,42,39,179,75,78,85,90,89,74,195,157,137,56,58,63,2,3,27,61,59,54,25,23,22,18,17,12,10,9,62,60,50,26,24,21,20,19,16,15,14,13,11])).
% 1.16/1.25 cnf(228,plain,
% 1.16/1.25 (E(f6(x2281,x2282),f6(x2281,f13(x2282,a8)))),
% 1.16/1.25 inference(scs_inference,[],[38,190,65,44,43,42,39,179,75,78,85,90,89,74,195,157,137,56,58,63,2,3,27,61,59,54,25,23,22,18,17,12,10,9,62,60,50,26,24,21,20,19,16,15,14,13,11,8])).
% 1.16/1.25 cnf(230,plain,
% 1.16/1.25 (E(f5(x2301),f5(f13(x2301,a8)))),
% 1.16/1.25 inference(scs_inference,[],[38,190,65,44,43,42,39,179,75,78,85,90,89,74,195,157,137,56,58,63,2,3,27,61,59,54,25,23,22,18,17,12,10,9,62,60,50,26,24,21,20,19,16,15,14,13,11,8,7,6])).
% 1.16/1.25 cnf(231,plain,
% 1.16/1.25 (E(f4(x2311),f4(f13(x2311,a8)))),
% 1.16/1.25 inference(scs_inference,[],[38,190,65,44,43,42,39,179,75,78,85,90,89,74,195,157,137,56,58,63,2,3,27,61,59,54,25,23,22,18,17,12,10,9,62,60,50,26,24,21,20,19,16,15,14,13,11,8,7,6,5])).
% 1.16/1.25 cnf(233,plain,
% 1.16/1.25 (~P2(f1(x2331),f6(f1(x2332),f6(x2333,x2334)))),
% 1.16/1.25 inference(scs_inference,[],[38,190,65,44,43,42,39,179,75,78,85,90,89,186,74,195,157,137,56,58,63,2,3,27,61,59,54,25,23,22,18,17,12,10,9,62,60,50,26,24,21,20,19,16,15,14,13,11,8,7,6,5,4,32])).
% 1.16/1.25 cnf(234,plain,
% 1.16/1.25 (P2(f13(x2341,a8),f12(x2341))),
% 1.16/1.25 inference(scs_inference,[],[205,53])).
% 1.16/1.25 cnf(236,plain,
% 1.16/1.25 (~P4(f4(x2361),f4(x2361),f4(x2361))),
% 1.16/1.25 inference(scs_inference,[],[192,205,53,62])).
% 1.16/1.25 cnf(238,plain,
% 1.16/1.25 (~E(f5(x2381),f2(x2382,x2383))),
% 1.16/1.25 inference(scs_inference,[],[38,40,192,205,53,62,56])).
% 1.16/1.25 cnf(246,plain,
% 1.16/1.25 (~P4(f13(a8,a8),f13(a8,a8),f15(a8,a8))),
% 1.16/1.25 inference(scs_inference,[],[38,40,39,42,192,198,202,205,177,98,53,62,56,32,58,63])).
% 1.16/1.25 cnf(247,plain,
% 1.16/1.25 (E(f15(x2471,x2472),f13(x2471,x2472))),
% 1.16/1.25 inference(rename_variables,[],[198])).
% 1.16/1.25 cnf(249,plain,
% 1.16/1.25 (E(f14(x2491,f5(x2491)),f4(x2491))),
% 1.16/1.25 inference(scs_inference,[],[38,40,39,42,192,212,198,202,205,177,98,53,62,56,32,58,63,2])).
% 1.16/1.25 cnf(251,plain,
% 1.16/1.25 (E(f15(x2511,x2512),f13(x2511,f13(x2512,a8)))),
% 1.16/1.25 inference(scs_inference,[],[38,40,39,42,192,212,198,247,202,196,225,205,177,98,53,62,56,32,58,63,2,27,3])).
% 1.16/1.25 cnf(252,plain,
% 1.16/1.25 (E(f15(x2521,x2522),f13(x2521,x2522))),
% 1.16/1.25 inference(rename_variables,[],[198])).
% 1.16/1.25 cnf(259,plain,
% 1.16/1.25 (P3(f13(x2591,a8),f6(x2591,x2592),f7(x2591,x2592))),
% 1.16/1.25 inference(scs_inference,[],[38,46,44,40,39,42,192,212,198,247,252,202,196,225,228,205,177,98,137,53,62,56,32,58,63,2,27,3,60,34,35,33])).
% 1.16/1.25 cnf(271,plain,
% 1.16/1.25 (E(f16(x2711,x2712),f14(x2711,f2(x2711,x2712)))),
% 1.16/1.25 inference(scs_inference,[],[47,209,60,62])).
% 1.16/1.25 cnf(276,plain,
% 1.16/1.25 (E(f16(x2761,x2762),f16(f13(x2761,a8),x2762))),
% 1.16/1.25 inference(rename_variables,[],[204])).
% 1.16/1.25 cnf(277,plain,
% 1.16/1.25 (~P2(x2771,f13(f13(a8,a8),f1(a8)))),
% 1.16/1.25 inference(scs_inference,[],[66,47,44,204,207,209,140,60,62,34,30,56])).
% 1.16/1.25 cnf(278,plain,
% 1.16/1.25 (E(f13(x2781,x2782),f13(f13(x2781,a8),x2782))),
% 1.16/1.25 inference(rename_variables,[],[207])).
% 1.16/1.25 cnf(285,plain,
% 1.16/1.25 (P4(a8,x2851,f3(f1(x2852),x2851))),
% 1.16/1.25 inference(scs_inference,[],[66,48,43,47,44,45,42,204,276,206,207,209,230,140,60,62,34,30,56,33,35,32,29,28])).
% 1.16/1.25 cnf(287,plain,
% 1.16/1.25 (P2(f15(f13(x2871,a8),x2872),f7(x2871,x2872))),
% 1.16/1.25 inference(scs_inference,[],[66,48,43,47,44,45,42,204,276,206,207,209,226,230,140,60,62,34,30,56,33,35,32,29,28,31])).
% 1.16/1.25 cnf(293,plain,
% 1.16/1.25 (~E(f6(x2931,f1(x2932)),f4(x2933))),
% 1.16/1.25 inference(scs_inference,[],[66,48,43,47,44,45,42,150,204,276,206,207,209,226,230,214,140,97,60,62,34,30,56,33,35,32,29,28,31,63,2])).
% 1.16/1.25 cnf(294,plain,
% 1.16/1.25 (P1(f13(f13(a8,a8),f1(a8)))),
% 1.16/1.25 inference(scs_inference,[],[66,48,43,47,44,45,42,150,204,276,206,207,278,209,226,230,214,140,97,60,62,34,30,56,33,35,32,29,28,31,63,2,27])).
% 1.16/1.25 cnf(298,plain,
% 1.16/1.25 (~P3(f13(a8,a8),f1(a8),f7(x2981,x2982))),
% 1.16/1.25 inference(scs_inference,[],[66,48,43,47,44,45,42,149,150,204,276,206,207,278,209,226,230,214,140,97,60,62,34,30,56,33,35,32,29,28,31,63,2,27,3,61])).
% 1.16/1.25 cnf(301,plain,
% 1.16/1.25 (~E(f13(f13(a8,a8),f1(a8)),f12(x3011))),
% 1.16/1.25 inference(scs_inference,[],[277,53])).
% 1.16/1.25 cnf(303,plain,
% 1.16/1.25 (E(f7(x3031,x3032),f13(x3031,f6(x3031,x3032)))),
% 1.16/1.25 inference(scs_inference,[],[46,277,53,61])).
% 1.16/1.25 cnf(308,plain,
% 1.16/1.25 (E(f1(x3081),a8)),
% 1.16/1.25 inference(rename_variables,[],[66])).
% 1.16/1.25 cnf(310,plain,
% 1.16/1.25 (~P2(x3101,f1(x3102))),
% 1.16/1.25 inference(scs_inference,[],[43,46,66,308,231,277,36,53,61,30,56,32])).
% 1.16/1.25 cnf(311,plain,
% 1.16/1.25 (~P4(f4(x3111),f14(x3111,f5(x3111)),f4(x3111))),
% 1.16/1.25 inference(scs_inference,[],[43,46,66,308,236,249,231,277,36,53,61,30,56,32,29])).
% 1.16/1.25 cnf(312,plain,
% 1.16/1.25 (~P4(f4(x3121),f4(x3121),f4(x3121))),
% 1.16/1.25 inference(rename_variables,[],[236])).
% 1.16/1.25 cnf(314,plain,
% 1.16/1.25 (~P4(f14(x3141,f5(x3141)),f4(x3141),f4(x3141))),
% 1.16/1.25 inference(scs_inference,[],[43,46,66,308,236,312,249,231,277,298,92,36,53,61,30,56,32,29,34,28])).
% 1.16/1.25 cnf(316,plain,
% 1.16/1.25 (P1(f14(x3161,f5(x3161)))),
% 1.16/1.25 inference(scs_inference,[],[43,46,66,308,236,312,249,231,277,298,92,212,37,36,53,61,30,56,32,29,34,28,27])).
% 1.16/1.25 cnf(318,plain,
% 1.16/1.25 (E(a8,f1(x3181))),
% 1.16/1.25 inference(scs_inference,[],[43,46,66,308,236,312,249,231,277,298,92,212,37,36,53,61,30,56,32,29,34,28,27,2])).
% 1.16/1.25 cnf(319,plain,
% 1.16/1.25 (E(f1(x3191),f13(a8,f1(a8)))),
% 1.16/1.25 inference(scs_inference,[],[43,46,66,308,236,312,249,231,277,298,92,212,37,36,95,53,61,30,56,32,29,34,28,27,2,3])).
% 1.16/1.25 cnf(324,plain,
% 1.16/1.25 (P2(x3241,f2(x3242,x3241))),
% 1.16/1.25 inference(rename_variables,[],[40])).
% 1.16/1.25 cnf(326,plain,
% 1.16/1.25 (~P4(f13(a8,a8),f13(a8,a8),f15(f1(x3261),a8))),
% 1.16/1.25 inference(scs_inference,[],[40,246,210,83,56,30])).
% 1.16/1.25 cnf(330,plain,
% 1.16/1.25 (P2(x3301,f12(x3301))),
% 1.16/1.25 inference(scs_inference,[],[40,68,45,246,210,83,39,56,30,29,32])).
% 1.16/1.25 cnf(331,plain,
% 1.16/1.25 (E(f6(x3311,x3312),f12(x3312))),
% 1.16/1.25 inference(rename_variables,[],[68])).
% 1.16/1.25 cnf(335,plain,
% 1.16/1.25 (E(f1(x3351),f13(a8,f1(a8)))),
% 1.16/1.25 inference(rename_variables,[],[319])).
% 1.16/1.25 cnf(336,plain,
% 1.16/1.25 (~E(f14(x3361,f5(x3361)),f2(x3362,x3363))),
% 1.16/1.25 inference(scs_inference,[],[40,68,41,43,45,316,319,246,210,83,318,39,56,30,29,32,28,34,27])).
% 1.16/1.25 cnf(337,plain,
% 1.16/1.25 (~E(f7(x3371,x3372),f5(x3373))),
% 1.16/1.25 inference(scs_inference,[],[40,68,41,43,45,316,183,319,246,210,83,318,39,56,30,29,32,28,34,27,2])).
% 1.16/1.25 cnf(340,plain,
% 1.16/1.25 (E(f2(x3401,x3402),f12(x3402))),
% 1.16/1.25 inference(scs_inference,[],[40,324,68,331,41,43,45,316,183,319,301,246,210,83,318,39,56,30,29,32,28,34,27,2,3,54])).
% 1.16/1.25 cnf(344,plain,
% 1.16/1.25 (E(f13(f5(x3441),x3442),f13(a8,x3442))),
% 1.16/1.25 inference(scs_inference,[],[40,324,68,331,41,43,45,316,183,319,335,301,246,210,83,216,318,39,56,30,29,32,28,34,27,2,3,54,59,18])).
% 1.16/1.25 cnf(352,plain,
% 1.16/1.25 (E(f3(x3521,f5(x3522)),f3(x3521,a8))),
% 1.16/1.25 inference(scs_inference,[],[40,324,68,331,41,43,45,316,183,319,335,301,246,210,83,216,318,39,56,30,29,32,28,34,27,2,3,54,59,18,17,50,26,25,24,23,22])).
% 1.16/1.25 cnf(354,plain,
% 1.16/1.25 (E(f14(x3541,f5(x3542)),f14(x3541,a8))),
% 1.16/1.25 inference(scs_inference,[],[40,324,68,331,41,43,45,316,183,319,335,301,246,210,83,216,318,39,56,30,29,32,28,34,27,2,3,54,59,18,17,50,26,25,24,23,22,13,12])).
% 1.16/1.25 cnf(355,plain,
% 1.16/1.25 (E(f14(f5(x3551),x3552),f14(a8,x3552))),
% 1.16/1.26 inference(scs_inference,[],[40,324,68,331,41,43,45,316,183,319,335,301,246,210,83,216,318,39,56,30,29,32,28,34,27,2,3,54,59,18,17,50,26,25,24,23,22,13,12,11])).
% 1.16/1.26 cnf(359,plain,
% 1.16/1.26 (E(f4(f5(x3591)),f4(a8))),
% 1.16/1.26 inference(scs_inference,[],[40,324,68,331,41,43,45,316,183,319,335,301,246,210,83,216,318,39,56,30,29,32,28,34,27,2,3,54,59,18,17,50,26,25,24,23,22,13,12,11,10,9,7,5])).
% 1.16/1.26 cnf(360,plain,
% 1.16/1.26 (E(f3(f5(x3601),x3602),f3(a8,x3602))),
% 1.16/1.26 inference(scs_inference,[],[40,324,68,331,41,43,45,316,183,319,335,301,246,210,83,216,318,39,56,30,29,32,28,34,27,2,3,54,59,18,17,50,26,25,24,23,22,13,12,11,10,9,7,5,21])).
% 1.16/1.26 cnf(365,plain,
% 1.16/1.26 (E(f15(x3651,f5(x3652)),f15(x3651,a8))),
% 1.16/1.26 inference(scs_inference,[],[40,324,68,331,41,43,45,316,183,319,335,301,246,210,83,216,318,39,56,30,29,32,28,34,27,2,3,54,59,18,17,50,26,25,24,23,22,13,12,11,10,9,7,5,21,20,19,16,15,14])).
% 1.16/1.26 cnf(367,plain,
% 1.16/1.26 (E(f5(f5(x3671)),f5(a8))),
% 1.16/1.26 inference(scs_inference,[],[40,324,68,331,41,43,45,316,183,319,335,301,246,210,83,216,318,39,56,30,29,32,28,34,27,2,3,54,59,18,17,50,26,25,24,23,22,13,12,11,10,9,7,5,21,20,19,16,15,14,8,6])).
% 1.16/1.26 cnf(368,plain,
% 1.16/1.26 (E(f1(f5(x3681)),f1(a8))),
% 1.16/1.26 inference(scs_inference,[],[40,324,68,331,41,43,45,316,183,319,335,301,246,210,83,216,318,39,56,30,29,32,28,34,27,2,3,54,59,18,17,50,26,25,24,23,22,13,12,11,10,9,7,5,21,20,19,16,15,14,8,6,4])).
% 1.16/1.26 cnf(371,plain,
% 1.16/1.26 (~E(f1(x3711),f12(x3712))),
% 1.16/1.26 inference(scs_inference,[],[310,53])).
% 1.16/1.26 cnf(375,plain,
% 1.16/1.26 (~P1(f6(x3751,x3752))),
% 1.16/1.26 inference(scs_inference,[],[68,330,310,344,298,53,33,56])).
% 1.16/1.26 cnf(376,plain,
% 1.16/1.26 (E(f6(x3761,x3762),f12(x3762))),
% 1.16/1.26 inference(rename_variables,[],[68])).
% 1.16/1.26 cnf(380,plain,
% 1.16/1.26 (P4(x3801,f2(x3801,x3802),f14(x3801,f2(x3801,x3802)))),
% 1.16/1.26 inference(scs_inference,[],[68,47,42,271,330,310,344,298,53,33,56,32,30])).
% 1.16/1.26 cnf(382,plain,
% 1.16/1.26 (P4(x3821,f12(x3822),f16(x3821,x3822))),
% 1.16/1.26 inference(scs_inference,[],[68,47,42,271,330,340,310,344,298,53,33,56,32,30,29])).
% 1.16/1.26 cnf(388,plain,
% 1.16/1.26 (E(f12(x3881),f6(x3882,x3881))),
% 1.16/1.26 inference(scs_inference,[],[68,376,44,47,45,42,271,330,340,310,344,298,53,33,56,32,30,29,34,28,2])).
% 1.16/1.26 cnf(389,plain,
% 1.16/1.26 (P1(f13(a8,f13(a8,a8)))),
% 1.16/1.26 inference(scs_inference,[],[68,376,44,47,45,42,271,330,340,310,222,344,298,177,53,33,56,32,30,29,34,28,2,27])).
% 1.16/1.26 cnf(395,plain,
% 1.16/1.26 (E(f16(x3951,x3952),f13(f3(x3951,x3952),x3951))),
% 1.16/1.26 inference(scs_inference,[],[48,227,60,61])).
% 1.16/1.26 cnf(397,plain,
% 1.16/1.26 (P3(f12(x3971),f1(f6(x3972,x3971)),f6(x3972,x3971))),
% 1.16/1.26 inference(scs_inference,[],[41,48,68,227,60,61,33])).
% 1.16/1.26 cnf(398,plain,
% 1.16/1.26 (P3(x3981,f1(x3981),x3981)),
% 1.16/1.26 inference(rename_variables,[],[41])).
% 1.16/1.26 cnf(399,plain,
% 1.16/1.26 (~E(f3(f13(a8,a8),f13(a8,a8)),f13(a8,a8))),
% 1.16/1.26 inference(scs_inference,[],[41,48,68,45,227,177,60,61,33,63])).
% 1.16/1.26 cnf(405,plain,
% 1.16/1.26 (E(f12(x4051),f6(x4052,x4051))),
% 1.16/1.26 inference(rename_variables,[],[388])).
% 1.16/1.26 cnf(407,plain,
% 1.16/1.26 (~P4(f4(x4071),f4(x4071),f4(x4071))),
% 1.16/1.26 inference(rename_variables,[],[236])).
% 1.16/1.26 cnf(413,plain,
% 1.16/1.26 (~E(f2(x4131,x4132),f14(x4133,f5(x4133)))),
% 1.16/1.26 inference(scs_inference,[],[41,48,68,43,45,42,388,336,233,227,294,91,368,236,407,298,177,60,61,33,63,56,32,29,30,28,34,2])).
% 1.16/1.26 cnf(415,plain,
% 1.16/1.26 (E(f12(x4151),f6(x4152,x4151))),
% 1.16/1.26 inference(rename_variables,[],[388])).
% 1.16/1.26 cnf(416,plain,
% 1.16/1.26 (E(f6(x4161,x4162),f6(x4163,x4162))),
% 1.16/1.26 inference(scs_inference,[],[41,48,68,43,45,42,388,405,415,336,233,375,227,294,91,368,236,407,298,177,60,61,33,63,56,32,29,30,28,34,2,27,3])).
% 1.16/1.26 cnf(417,plain,
% 1.16/1.26 (E(f6(x4171,x4172),f12(x4172))),
% 1.16/1.26 inference(rename_variables,[],[68])).
% 1.16/1.26 cnf(418,plain,
% 1.16/1.26 (E(f16(x4181,x4182),f14(x4181,f12(x4182)))),
% 1.16/1.26 inference(scs_inference,[],[41,48,68,43,45,42,382,388,405,415,336,233,375,227,294,91,368,236,407,298,177,60,61,33,63,56,32,29,30,28,34,2,27,3,62])).
% 1.16/1.26 cnf(422,plain,
% 1.16/1.26 (P2(f12(x4221),f12(f6(x4222,x4221)))),
% 1.16/1.26 inference(scs_inference,[],[41,398,48,68,417,43,45,42,382,388,405,415,336,233,375,227,294,91,368,236,407,330,298,177,60,61,33,63,56,32,29,30,28,34,2,27,3,62,35,31])).
% 1.16/1.26 cnf(429,plain,
% 1.16/1.26 (~P3(a8,a8,f3(f13(a8,a8),f13(a8,a8)))),
% 1.16/1.26 inference(scs_inference,[],[399,61])).
% 1.16/1.26 cnf(431,plain,
% 1.16/1.26 (~P4(x4311,f5(x4311),f2(x4312,x4313))),
% 1.16/1.26 inference(scs_inference,[],[413,399,61,62])).
% 1.16/1.26 cnf(435,plain,
% 1.16/1.26 (E(f6(x4351,x4352),f12(x4352))),
% 1.16/1.26 inference(rename_variables,[],[68])).
% 1.16/1.26 cnf(438,plain,
% 1.16/1.26 (P3(f3(x4381,x4382),x4381,f16(x4381,x4382))),
% 1.16/1.26 inference(rename_variables,[],[48])).
% 1.16/1.26 cnf(443,plain,
% 1.16/1.26 (P2(f13(x4431,f13(x4432,a8)),f7(x4431,x4432))),
% 1.16/1.26 inference(scs_inference,[],[70,48,438,68,42,422,413,371,399,220,251,389,61,62,58,35,56,33,31])).
% 1.16/1.26 cnf(444,plain,
% 1.16/1.26 (P2(f15(x4441,x4442),f7(x4441,x4442))),
% 1.16/1.26 inference(rename_variables,[],[42])).
% 1.16/1.26 cnf(445,plain,
% 1.16/1.26 (P2(f15(x4451,x4452),f13(x4451,f6(x4451,x4452)))),
% 1.16/1.26 inference(scs_inference,[],[70,48,438,68,42,444,303,422,413,371,399,220,251,389,61,62,58,35,56,33,31,32])).
% 1.16/1.26 cnf(446,plain,
% 1.16/1.26 (E(f7(x4461,x4462),f13(x4461,f6(x4461,x4462)))),
% 1.16/1.26 inference(rename_variables,[],[303])).
% 1.16/1.26 cnf(447,plain,
% 1.16/1.26 (~P4(f13(a8,a8),f13(a8,a8),f15(f1(x4471),f5(x4472)))),
% 1.16/1.26 inference(scs_inference,[],[70,48,438,68,42,444,303,422,413,371,399,220,251,326,365,389,61,62,58,35,56,33,31,32,30])).
% 1.16/1.26 cnf(451,plain,
% 1.16/1.26 (P4(f13(x4511,a8),f5(x4511),f4(x4511))),
% 1.16/1.26 inference(scs_inference,[],[70,48,438,66,68,43,45,42,444,303,422,413,371,399,220,251,326,365,389,137,61,62,58,35,56,33,31,32,30,29,28])).
% 1.16/1.26 cnf(453,plain,
% 1.16/1.26 (P3(x4531,f12(x4532),f7(x4531,x4532))),
% 1.16/1.26 inference(scs_inference,[],[70,46,48,438,66,68,435,43,45,42,444,303,422,413,371,399,220,251,326,365,389,137,61,62,58,35,56,33,31,32,30,29,28,34])).
% 1.16/1.26 cnf(455,plain,
% 1.16/1.26 (E(f13(x4551,f6(x4551,x4552)),f7(x4551,x4552))),
% 1.16/1.26 inference(scs_inference,[],[70,46,48,438,66,68,435,43,45,42,444,303,446,422,413,371,399,220,251,326,365,389,137,61,62,58,35,56,33,31,32,30,29,28,34,2])).
% 1.16/1.26 cnf(465,plain,
% 1.16/1.26 (E(f7(x4651,x4652),f13(x4651,f12(x4652)))),
% 1.16/1.26 inference(scs_inference,[],[453,61])).
% 1.16/1.26 cnf(467,plain,
% 1.16/1.26 (E(f4(x4671),f14(f13(x4671,a8),f5(x4671)))),
% 1.16/1.26 inference(scs_inference,[],[453,451,61,62])).
% 1.16/1.26 cnf(469,plain,
% 1.16/1.26 (~P2(f6(x4691,x4692),f12(f1(x4693)))),
% 1.16/1.26 inference(scs_inference,[],[64,68,453,451,39,61,62,58])).
% 1.16/1.26 cnf(470,plain,
% 1.16/1.26 (E(f6(x4701,x4702),f12(x4702))),
% 1.16/1.26 inference(rename_variables,[],[68])).
% 1.16/1.26 cnf(479,plain,
% 1.16/1.26 (~P2(x4791,f14(x4792,a8))),
% 1.16/1.26 inference(scs_inference,[],[64,68,45,455,453,451,352,354,316,298,38,39,61,62,58,63,35,56])).
% 1.16/1.26 cnf(480,plain,
% 1.16/1.26 (P1(f14(x4801,f5(x4801)))),
% 1.16/1.26 inference(rename_variables,[],[316])).
% 1.16/1.26 cnf(481,plain,
% 1.16/1.26 (E(f14(x4811,f5(x4812)),f14(x4811,a8))),
% 1.16/1.26 inference(rename_variables,[],[354])).
% 1.16/1.26 cnf(483,plain,
% 1.16/1.26 (~P3(f1(x4831),a8,f3(f13(a8,a8),f13(a8,a8)))),
% 1.16/1.26 inference(scs_inference,[],[64,66,68,45,455,453,451,352,354,429,316,298,38,39,61,62,58,63,35,56,33])).
% 1.16/1.26 cnf(484,plain,
% 1.16/1.26 (~E(f2(x4841,x4842),f13(f13(a8,a8),f1(a8)))),
% 1.16/1.26 inference(scs_inference,[],[64,66,68,45,455,133,453,451,352,354,429,277,316,298,38,39,61,62,58,63,35,56,33,32])).
% 1.16/1.26 cnf(488,plain,
% 1.16/1.26 (P4(x4881,f2(x4881,x4882),f16(x4881,x4882))),
% 1.16/1.26 inference(rename_variables,[],[47])).
% 1.16/1.26 cnf(493,plain,
% 1.16/1.26 (E(f13(x4931,x4932),f13(f13(x4931,a8),x4932))),
% 1.16/1.26 inference(rename_variables,[],[207])).
% 1.16/1.26 cnf(499,plain,
% 1.16/1.26 (P1(f14(x4991,a8))),
% 1.16/1.26 inference(scs_inference,[],[64,71,66,47,488,68,470,45,131,455,133,453,238,293,211,451,352,354,481,429,207,277,316,480,298,38,39,61,62,58,63,35,56,33,32,30,29,28,34,2,3,27])).
% 1.16/1.26 cnf(507,plain,
% 1.16/1.26 (E(f3(x5071,a8),f3(x5071,f1(x5072)))),
% 1.16/1.26 inference(scs_inference,[],[64,71,66,47,488,68,470,45,131,455,133,453,238,293,211,451,352,354,481,429,207,493,294,277,318,316,480,298,38,39,61,62,58,63,35,56,33,32,30,29,28,34,2,3,27,59,50,17,22])).
% 1.16/1.26 cnf(510,plain,
% 1.16/1.26 (E(f14(a8,x5101),f14(f1(x5102),x5101))),
% 1.16/1.26 inference(scs_inference,[],[64,71,66,47,488,68,470,45,131,455,133,453,238,293,211,451,352,354,481,429,207,493,294,277,318,316,480,298,38,39,61,62,58,63,35,56,33,32,30,29,28,34,2,3,27,59,50,17,22,18,12,11])).
% 1.16/1.26 cnf(516,plain,
% 1.16/1.26 (E(f15(x5161,a8),f15(x5161,f1(x5162)))),
% 1.16/1.26 inference(scs_inference,[],[64,71,66,47,488,68,470,45,131,455,133,453,238,293,211,451,352,354,481,429,207,493,294,277,318,316,480,298,38,39,61,62,58,63,35,56,33,32,30,29,28,34,2,3,27,59,50,17,22,18,12,11,25,24,23,19,16,14])).
% 1.16/1.26 cnf(517,plain,
% 1.16/1.26 (E(f15(a8,x5171),f15(f1(x5172),x5171))),
% 1.16/1.26 inference(scs_inference,[],[64,71,66,47,488,68,470,45,131,455,133,453,238,293,211,451,352,354,481,429,207,493,294,277,318,316,480,298,38,39,61,62,58,63,35,56,33,32,30,29,28,34,2,3,27,59,50,17,22,18,12,11,25,24,23,19,16,14,13])).
% 1.16/1.26 cnf(519,plain,
% 1.16/1.26 (E(f2(a8,x5191),f2(f1(x5192),x5191))),
% 1.16/1.26 inference(scs_inference,[],[64,71,66,47,488,68,470,45,131,455,133,453,238,293,211,451,352,354,481,429,207,493,294,277,318,316,480,298,38,39,61,62,58,63,35,56,33,32,30,29,28,34,2,3,27,59,50,17,22,18,12,11,25,24,23,19,16,14,13,10,9])).
% 1.16/1.26 cnf(527,plain,
% 1.16/1.26 (P2(f1(x5271),f12(a8))),
% 1.16/1.26 inference(scs_inference,[],[64,71,66,47,488,68,470,45,131,455,133,453,238,293,211,451,352,354,481,429,207,493,294,277,318,316,480,298,38,39,61,62,58,63,35,56,33,32,30,29,28,34,2,3,27,59,50,17,22,18,12,11,25,24,23,19,16,14,13,10,9,6,5,21,20,15,8,4,53])).
% 1.16/1.26 cnf(541,plain,
% 1.16/1.26 (E(f4(x5411),f14(f13(x5411,a8),f5(x5411)))),
% 1.16/1.26 inference(rename_variables,[],[467])).
% 1.16/1.26 cnf(555,plain,
% 1.16/1.26 (E(f14(f5(x5551),x5552),f14(a8,x5552))),
% 1.16/1.26 inference(rename_variables,[],[355])).
% 1.16/1.26 cnf(561,plain,
% 1.16/1.26 (E(f6(x5611,f1(x5612)),f12(a8))),
% 1.16/1.26 inference(scs_inference,[],[64,71,44,48,66,43,68,45,311,314,395,431,169,484,467,355,555,519,479,73,499,527,483,330,37,53,61,58,63,56,35,33,32,30,29,28,34,2,3])).
% 1.16/1.26 cnf(563,plain,
% 1.16/1.26 (P1(f14(f13(x5631,a8),f5(x5631)))),
% 1.16/1.26 inference(scs_inference,[],[64,71,44,48,66,43,68,45,311,314,395,431,169,484,467,541,355,555,519,479,73,499,527,483,330,37,53,61,58,63,56,35,33,32,30,29,28,34,2,3,27])).
% 1.16/1.26 cnf(571,plain,
% 1.16/1.26 (E(f7(x5711,x5712),f13(f13(x5711,a8),f6(x5711,x5712)))),
% 1.16/1.26 inference(scs_inference,[],[259,561,53,61])).
% 1.16/1.26 cnf(578,plain,
% 1.16/1.26 (~P1(f7(x5781,x5782))),
% 1.16/1.26 inference(scs_inference,[],[223,287,259,84,561,285,499,53,61,62,63,56])).
% 1.16/1.26 cnf(582,plain,
% 1.16/1.26 (P3(x5821,f6(x5821,x5822),f7(x5821,x5822))),
% 1.16/1.26 inference(rename_variables,[],[46])).
% 1.16/1.26 cnf(585,plain,
% 1.16/1.26 (~P2(x5851,f14(x5852,f1(x5853)))),
% 1.16/1.26 inference(scs_inference,[],[46,48,465,223,287,259,84,360,561,285,479,499,53,61,62,63,56,35,33,32])).
% 1.16/1.26 cnf(592,plain,
% 1.16/1.26 (P3(x5921,f6(x5922,x5923),f7(x5921,x5923))),
% 1.16/1.26 inference(scs_inference,[],[46,582,48,45,465,416,447,223,287,259,84,360,517,561,285,479,499,53,61,62,63,56,35,33,32,30,29,34])).
% 1.16/1.26 cnf(608,plain,
% 1.16/1.26 (~P4(a8,a8,f1(x6081))),
% 1.16/1.26 inference(scs_inference,[],[66,585,97,53,63])).
% 1.16/1.26 cnf(615,plain,
% 1.16/1.26 (E(f14(a8,x6151),f14(f1(x6152),x6151))),
% 1.16/1.26 inference(rename_variables,[],[510])).
% 1.16/1.26 cnf(616,plain,
% 1.16/1.26 (P1(f14(x6161,f5(x6161)))),
% 1.16/1.26 inference(rename_variables,[],[316])).
% 1.16/1.26 cnf(618,plain,
% 1.16/1.26 (~E(f7(x6181,x6182),f14(x6183,f1(x6184)))),
% 1.16/1.26 inference(scs_inference,[],[66,68,585,443,234,510,399,316,97,53,63,58,56,32])).
% 1.16/1.26 cnf(623,plain,
% 1.16/1.26 (P4(f5(x6231),f5(a8),f4(f5(x6231)))),
% 1.16/1.26 inference(scs_inference,[],[43,70,47,66,68,585,443,234,510,367,399,316,97,53,63,58,56,32,30,29])).
% 1.16/1.26 cnf(639,plain,
% 1.16/1.26 (P2(f13(x6391,x6392),f13(x6391,f6(x6391,x6392)))),
% 1.16/1.26 inference(scs_inference,[],[43,70,47,66,68,397,445,418,337,578,585,571,443,234,510,615,359,367,198,399,236,316,616,97,53,63,58,56,32,30,29,28,34,3,2,27,60,49,31])).
% 1.16/1.26 cnf(664,plain,
% 1.16/1.26 (P4(f1(x6641),f2(a8,x6642),f16(a8,x6642))),
% 1.16/1.26 inference(scs_inference,[],[65,47,68,45,380,639,618,507,516,469,227,287,354,527,330,499,97,318,60,62,63,31,58,56,30,32,28])).
% 1.16/1.26 cnf(690,plain,
% 1.16/1.26 ($false),
% 1.16/1.26 inference(scs_inference,[],[592,623,664,608,467,563,38,60,61,62,63]),
% 1.16/1.26 ['proof']).
% 1.16/1.26 % SZS output end Proof
% 1.16/1.26 % Total time :0.600000s
%------------------------------------------------------------------------------