TSTP Solution File: NUN087+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUN087+1 : 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 : n008.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 3.33s 3.50s
% Output : CNFRefutation 3.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN087+1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Aug 27 10:00:02 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.56 start to proof:theBenchmark
% 3.33/3.48 %-------------------------------------------
% 3.33/3.48 % File :CSE---1.6
% 3.33/3.49 % Problem :theBenchmark
% 3.33/3.49 % Transform :cnf
% 3.33/3.49 % Format :tptp:raw
% 3.33/3.49 % Command :java -jar mcs_scs.jar %d %s
% 3.33/3.49
% 3.33/3.49 % Result :Theorem 2.860000s
% 3.33/3.49 % Output :CNFRefutation 2.860000s
% 3.33/3.49 %-------------------------------------------
% 3.33/3.49 %------------------------------------------------------------------------------
% 3.33/3.49 % File : NUN087+1 : TPTP v8.1.2. Released v7.3.0.
% 3.33/3.50 % Domain : Number Theory
% 3.33/3.50 % Problem : Robinson arithmetic: 0 * 0 = 0
% 3.33/3.50 % Version : Especial.
% 3.33/3.50 % English :
% 3.33/3.50
% 3.33/3.50 % Refs : [BBJ03] Boolos et al. (2003), Computability and Logic
% 3.33/3.50 % : [Smi07] Smith (2007), An Introduction to Goedel's Theorems
% 3.33/3.50 % : [Lam18] Lampert (2018), Email to Geoff Sutcliffe
% 3.33/3.50 % Source : [Lam18]
% 3.33/3.50 % Names : zerotimeszeroeqzero [Lam18]
% 3.33/3.50
% 3.33/3.50 % Status : Theorem
% 3.33/3.50 % Rating : 0.13 v8.1.0, 0.21 v7.5.0, 0.38 v7.4.0, 0.19 v7.3.0
% 3.33/3.50 % Syntax : Number of formulae : 19 ( 1 unt; 0 def)
% 3.33/3.50 % Number of atoms : 79 ( 0 equ)
% 3.33/3.50 % Maximal formula atoms : 7 ( 4 avg)
% 3.33/3.50 % Number of connectives : 94 ( 34 ~; 26 |; 34 &)
% 3.33/3.50 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 3.33/3.50 % Maximal formula depth : 13 ( 8 avg)
% 3.33/3.50 % Maximal term depth : 1 ( 1 avg)
% 3.33/3.50 % Number of predicates : 5 ( 5 usr; 0 prp; 1-3 aty)
% 3.33/3.50 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 3.33/3.50 % Number of variables : 70 ( 47 !; 23 ?)
% 3.33/3.50 % SPC : FOF_THM_RFO_NEQ
% 3.33/3.50
% 3.33/3.50 % Comments : Translated to FOL without equality.
% 3.33/3.50 %------------------------------------------------------------------------------
% 3.33/3.50 include('Axioms/NUM009+0.ax').
% 3.33/3.50 %------------------------------------------------------------------------------
% 3.33/3.50 fof(zerotimeszeroeqzero,conjecture,
% 3.33/3.50 ? [Y1] :
% 3.33/3.50 ( ? [Y2] :
% 3.33/3.50 ( r1(Y2)
% 3.33/3.50 & r4(Y2,Y2,Y1) )
% 3.33/3.50 & ? [Y3] :
% 3.33/3.50 ( id(Y1,Y3)
% 3.33/3.50 & r1(Y3) ) ) ).
% 3.33/3.50
% 3.33/3.50 %------------------------------------------------------------------------------
% 3.33/3.50 %-------------------------------------------
% 3.33/3.50 % Proof found
% 3.33/3.50 % SZS status Theorem for theBenchmark
% 3.33/3.50 % SZS output start Proof
% 3.33/3.50 %ClaNum:43(EqnAxiom:0)
% 3.33/3.50 %VarNum:208(SingletonVarNum:101)
% 3.33/3.50 %MaxLitNum:5
% 3.33/3.50 %MaxfuncDepth:1
% 3.33/3.50 %SharedTerms:1
% 3.33/3.50 %goalClause: 37
% 3.33/3.50 [4]P2(x41,x41)
% 3.33/3.50 [1]P1(f1(x11))
% 3.33/3.50 [2]P1(f6(x21))
% 3.33/3.50 [3]P1(f8(x31))
% 3.33/3.50 [5]P2(f2(x51),x51)
% 3.33/3.50 [6]P2(f7(x61),f8(x61))
% 3.33/3.50 [12]P4(x121,f1(x121),f2(x121))
% 3.33/3.50 [13]P5(x131,f6(x131),f7(x131))
% 3.33/3.50 [7]P3(x71,f9(x72,x71))
% 3.33/3.50 [8]P3(x81,f3(x82,x81))
% 3.33/3.50 [9]P2(f10(x91,x92),f11(x91,x92))
% 3.33/3.50 [10]P2(f4(x101,x102),f19(x101,x102))
% 3.33/3.50 [11]P3(f20(x111,x112),f11(x111,x112))
% 3.33/3.50 [14]P4(x141,x142,f20(x141,x142))
% 3.33/3.50 [15]P5(x151,x152,f5(x151,x152))
% 3.33/3.50 [16]P4(x161,f9(x161,x162),f10(x161,x162))
% 3.33/3.50 [17]P5(x171,f3(x171,x172),f4(x171,x172))
% 3.33/3.50 [18]P4(f5(x181,x182),x181,f19(x181,x182))
% 3.33/3.50 [19]~P1(x191)+P2(x191,a12)
% 3.33/3.50 [20]P1(x201)+~P2(x201,a12)
% 3.33/3.50 [21]P2(x211,f15(x211))+P1(f13(x211))
% 3.33/3.50 [25]P3(f14(x251),f15(x251))+P1(f13(x251))
% 3.33/3.50 [26]P2(x261,f15(x261))+P2(x261,f13(x261))
% 3.33/3.50 [29]P3(f14(x291),f15(x291))+P2(x291,f13(x291))
% 3.33/3.50 [24]~P2(x242,x241)+P2(x241,x242)
% 3.33/3.50 [27]~P3(x272,x271)+P2(x271,f16(x272))
% 3.33/3.50 [28]P3(x281,x282)+~P2(x282,f16(x281))
% 3.33/3.50 [35]P4(x351,x352,x353)+~P2(x353,f17(x351,x352))
% 3.33/3.51 [36]P5(x361,x362,x363)+~P2(x363,f18(x361,x362))
% 3.33/3.51 [38]~P4(x382,x383,x381)+P2(x381,f17(x382,x383))
% 3.33/3.51 [39]~P5(x392,x393,x391)+P2(x391,f18(x392,x393))
% 3.33/3.51 [22]~P2(x222,x221)+P1(x221)+~P1(x222)
% 3.33/3.51 [23]~P2(x231,x232)+P1(x231)+~P1(x232)
% 3.33/3.51 [30]~P1(x301)+~P2(x301,x302)+~P3(x303,x302)
% 3.33/3.51 [31]~P2(x311,x313)+P2(x311,x312)+~P2(x313,x312)
% 3.33/3.51 [37]~P5(x372,x372,x373)+~P1(x371)+~P2(x373,x371)+~P1(x372)
% 3.33/3.51 [32]~P3(x322,x324)+~P3(x321,x323)+P2(x321,x322)+~P2(x323,x324)
% 3.33/3.51 [33]~P3(x334,x333)+P3(x331,x332)+~P2(x333,x332)+~P2(x334,x331)
% 3.33/3.51 [34]~P3(x344,x343)+P3(x341,x342)+~P2(x342,x343)+~P2(x341,x344)
% 3.33/3.51 [40]~P4(x406,x405,x404)+P4(x401,x402,x403)+~P2(x404,x403)+~P2(x405,x402)+~P2(x406,x401)
% 3.33/3.51 [41]~P4(x416,x415,x414)+P4(x411,x412,x413)+~P2(x413,x414)+~P2(x412,x415)+~P2(x411,x416)
% 3.33/3.51 [42]~P5(x426,x425,x424)+P5(x421,x422,x423)+~P2(x424,x423)+~P2(x425,x422)+~P2(x426,x421)
% 3.33/3.51 [43]~P5(x436,x435,x434)+P5(x431,x432,x433)+~P2(x433,x434)+~P2(x432,x435)+~P2(x431,x436)
% 3.33/3.51 %EqnAxiom
% 3.33/3.51
% 3.33/3.51 %-------------------------------------------
% 3.33/3.52 cnf(44,plain,
% 3.33/3.52 (P1(a12)),
% 3.33/3.52 inference(scs_inference,[],[4,20])).
% 3.33/3.52 cnf(45,plain,
% 3.33/3.52 (P2(x451,x451)),
% 3.33/3.52 inference(rename_variables,[],[4])).
% 3.33/3.52 cnf(46,plain,
% 3.33/3.52 (P3(x461,f16(x461))),
% 3.33/3.52 inference(scs_inference,[],[4,45,20,28])).
% 3.33/3.52 cnf(47,plain,
% 3.33/3.52 (P2(x471,x471)),
% 3.33/3.52 inference(rename_variables,[],[4])).
% 3.33/3.52 cnf(49,plain,
% 3.33/3.52 (P5(x491,x492,f18(x491,x492))),
% 3.33/3.52 inference(scs_inference,[],[4,45,47,20,28,36])).
% 3.33/3.52 cnf(50,plain,
% 3.33/3.52 (P2(x501,x501)),
% 3.33/3.52 inference(rename_variables,[],[4])).
% 3.33/3.52 cnf(52,plain,
% 3.33/3.52 (P4(x521,x522,f17(x521,x522))),
% 3.33/3.52 inference(scs_inference,[],[4,45,47,50,20,28,36,35])).
% 3.33/3.52 cnf(53,plain,
% 3.33/3.52 (P2(x531,x531)),
% 3.33/3.52 inference(rename_variables,[],[4])).
% 3.33/3.52 cnf(55,plain,
% 3.33/3.52 (~P3(x551,f1(x552))),
% 3.33/3.52 inference(scs_inference,[],[1,4,45,47,50,53,20,28,36,35,30])).
% 3.33/3.52 cnf(57,plain,
% 3.33/3.52 (~P5(f1(x571),f1(x571),f1(x571))),
% 3.33/3.52 inference(scs_inference,[],[1,4,45,47,50,53,20,28,36,35,30,37])).
% 3.33/3.52 cnf(58,plain,
% 3.33/3.52 (P2(x581,x581)),
% 3.33/3.52 inference(rename_variables,[],[4])).
% 3.33/3.52 cnf(60,plain,
% 3.33/3.52 (P3(x601,f2(f9(x602,x601)))),
% 3.33/3.52 inference(scs_inference,[],[1,4,45,47,50,53,58,5,7,20,28,36,35,30,37,34])).
% 3.33/3.52 cnf(61,plain,
% 3.33/3.52 (P2(f2(x611),x611)),
% 3.33/3.52 inference(rename_variables,[],[5])).
% 3.33/3.52 cnf(62,plain,
% 3.33/3.52 (P2(x621,x621)),
% 3.33/3.52 inference(rename_variables,[],[4])).
% 3.33/3.52 cnf(64,plain,
% 3.33/3.52 (P5(x641,x641,f2(f5(x641,x641)))),
% 3.33/3.52 inference(scs_inference,[],[1,4,45,47,50,53,58,62,15,5,61,7,20,28,36,35,30,37,34,43])).
% 3.33/3.52 cnf(65,plain,
% 3.33/3.52 (P2(f2(x651),x651)),
% 3.33/3.52 inference(rename_variables,[],[5])).
% 3.33/3.52 cnf(67,plain,
% 3.33/3.52 (P2(x671,x671)),
% 3.33/3.52 inference(rename_variables,[],[4])).
% 3.33/3.52 cnf(68,plain,
% 3.33/3.52 (P5(x681,x682,f5(x681,x682))),
% 3.33/3.52 inference(rename_variables,[],[15])).
% 3.33/3.52 cnf(71,plain,
% 3.33/3.52 (P2(f2(x711),x711)),
% 3.33/3.52 inference(rename_variables,[],[5])).
% 3.33/3.52 cnf(73,plain,
% 3.33/3.52 (P2(x731,x731)),
% 3.33/3.52 inference(rename_variables,[],[4])).
% 3.33/3.52 cnf(74,plain,
% 3.33/3.52 (P4(x741,x742,f20(x741,x742))),
% 3.33/3.52 inference(rename_variables,[],[14])).
% 3.33/3.52 cnf(76,plain,
% 3.33/3.52 (P2(x761,f2(x761))),
% 3.33/3.52 inference(scs_inference,[],[1,4,45,47,50,53,58,62,67,14,15,5,61,65,71,7,20,28,36,35,30,37,34,43,41,24])).
% 3.33/3.52 cnf(78,plain,
% 3.33/3.52 (P2(f1(x781),a12)),
% 3.33/3.52 inference(scs_inference,[],[1,4,45,47,50,53,58,62,67,14,15,5,61,65,71,7,20,28,36,35,30,37,34,43,41,24,19])).
% 3.33/3.52 cnf(80,plain,
% 3.33/3.52 (P2(f9(x801,x802),f16(x802))),
% 3.33/3.52 inference(scs_inference,[],[1,4,45,47,50,53,58,62,67,14,15,5,61,65,71,7,20,28,36,35,30,37,34,43,41,24,19,27])).
% 3.33/3.52 cnf(82,plain,
% 3.33/3.52 (P2(f5(x821,x822),f18(x821,x822))),
% 3.33/3.52 inference(scs_inference,[],[1,4,45,47,50,53,58,62,67,14,15,68,5,61,65,71,7,20,28,36,35,30,37,34,43,41,24,19,27,39])).
% 3.33/3.52 cnf(84,plain,
% 3.33/3.52 (P2(f20(x841,x842),f17(x841,x842))),
% 3.33/3.52 inference(scs_inference,[],[1,4,45,47,50,53,58,62,67,14,74,15,68,5,61,65,71,7,20,28,36,35,30,37,34,43,41,24,19,27,39,38])).
% 3.33/3.52 cnf(86,plain,
% 3.33/3.52 (~P2(f9(x861,x862),f1(x863))),
% 3.33/3.52 inference(scs_inference,[],[1,4,45,47,50,53,58,62,67,73,14,74,15,68,5,61,65,71,7,20,28,36,35,30,37,34,43,41,24,19,27,39,38,33])).
% 3.33/3.52 cnf(87,plain,
% 3.33/3.52 (P2(x871,x871)),
% 3.33/3.52 inference(rename_variables,[],[4])).
% 3.33/3.52 cnf(92,plain,
% 3.33/3.52 (~P2(f5(f1(x921),f1(x921)),f1(x921))),
% 3.33/3.52 inference(scs_inference,[],[1,4,45,47,50,53,58,62,67,73,87,14,74,15,68,5,61,65,71,7,6,20,28,36,35,30,37,34,43,41,24,19,27,39,38,33,32,42])).
% 3.33/3.52 cnf(93,plain,
% 3.33/3.52 (P2(x931,x931)),
% 3.33/3.52 inference(rename_variables,[],[4])).
% 3.33/3.52 cnf(94,plain,
% 3.33/3.52 (P2(x941,x941)),
% 3.33/3.52 inference(rename_variables,[],[4])).
% 3.33/3.52 cnf(97,plain,
% 3.33/3.52 (P4(x971,x972,f20(x971,f2(x972)))),
% 3.33/3.52 inference(scs_inference,[],[1,4,45,47,50,53,58,62,67,73,87,94,93,14,74,15,68,5,61,65,71,7,6,20,28,36,35,30,37,34,43,41,24,19,27,39,38,33,32,42,40])).
% 3.33/3.52 cnf(102,plain,
% 3.33/3.52 (P1(f2(f1(x1021)))),
% 3.33/3.52 inference(scs_inference,[],[1,4,45,47,50,53,58,62,67,73,87,94,93,14,74,15,68,5,61,65,71,7,6,20,28,36,35,30,37,34,43,41,24,19,27,39,38,33,32,42,40,23])).
% 3.33/3.52 cnf(107,plain,
% 3.33/3.52 (P2(f4(x1071,x1072),f2(f19(x1071,x1072)))),
% 3.33/3.52 inference(scs_inference,[],[10,76,31])).
% 3.33/3.52 cnf(108,plain,
% 3.33/3.52 (P2(x1081,f2(x1081))),
% 3.33/3.52 inference(rename_variables,[],[76])).
% 3.33/3.52 cnf(112,plain,
% 3.33/3.52 (~P1(f3(x1121,x1122))),
% 3.33/3.52 inference(scs_inference,[],[8,10,4,57,76,31,36,30])).
% 3.33/3.52 cnf(113,plain,
% 3.33/3.52 (P2(x1131,x1131)),
% 3.33/3.52 inference(rename_variables,[],[4])).
% 3.33/3.52 cnf(115,plain,
% 3.33/3.52 (~P2(f3(x1151,x1152),f1(x1153))),
% 3.33/3.52 inference(scs_inference,[],[1,8,10,4,57,76,31,36,30,23])).
% 3.33/3.52 cnf(117,plain,
% 3.33/3.52 (~P2(f1(x1171),f3(x1172,x1173))),
% 3.33/3.52 inference(scs_inference,[],[1,8,10,4,57,76,31,36,30,23,22])).
% 3.33/3.52 cnf(120,plain,
% 3.33/3.52 (P5(x1201,x1202,f5(x1201,x1202))),
% 3.33/3.52 inference(rename_variables,[],[15])).
% 3.33/3.52 cnf(124,plain,
% 3.33/3.52 (P2(x1241,x1241)),
% 3.33/3.52 inference(rename_variables,[],[4])).
% 3.33/3.52 cnf(126,plain,
% 3.33/3.52 (~P2(f11(x1261,x1262),f1(x1263))),
% 3.33/3.52 inference(scs_inference,[],[1,8,2,10,11,4,113,124,15,120,57,76,55,31,36,30,23,22,37,43,33])).
% 3.33/3.52 cnf(127,plain,
% 3.33/3.52 (~P3(x1271,f1(x1272))),
% 3.33/3.52 inference(rename_variables,[],[55])).
% 3.33/3.52 cnf(128,plain,
% 3.33/3.52 (P2(x1281,x1281)),
% 3.33/3.52 inference(rename_variables,[],[4])).
% 3.33/3.52 cnf(130,plain,
% 3.33/3.52 (P4(x1301,f2(f1(x1301)),x1301)),
% 3.33/3.52 inference(scs_inference,[],[1,8,2,12,10,11,4,113,124,128,15,120,5,57,76,108,55,31,36,30,23,22,37,43,33,40])).
% 3.33/3.52 cnf(131,plain,
% 3.33/3.52 (P2(x1311,x1311)),
% 3.33/3.52 inference(rename_variables,[],[4])).
% 3.33/3.52 cnf(135,plain,
% 3.33/3.52 (~P2(f1(x1351),f5(f1(x1351),f1(x1351)))),
% 3.33/3.52 inference(scs_inference,[],[1,8,2,12,10,11,4,113,124,128,15,120,5,57,92,76,108,55,31,36,30,23,22,37,43,33,40,24])).
% 3.33/3.52 cnf(143,plain,
% 3.33/3.52 (P2(x1431,x1431)),
% 3.33/3.52 inference(rename_variables,[],[4])).
% 3.33/3.52 cnf(145,plain,
% 3.33/3.52 (~P2(f1(x1451),f11(x1452,x1453))),
% 3.33/3.52 inference(scs_inference,[],[1,8,2,12,10,11,4,113,124,128,131,143,14,15,120,5,57,92,76,108,55,127,31,36,30,23,22,37,43,33,40,24,20,28,41,34])).
% 3.33/3.52 cnf(153,plain,
% 3.33/3.52 (~P1(f10(x1531,x1532))),
% 3.33/3.52 inference(scs_inference,[],[9,11,30])).
% 3.33/3.52 cnf(156,plain,
% 3.33/3.52 (~P2(f18(f6(x1561),f6(x1561)),f6(x1561))),
% 3.33/3.52 inference(scs_inference,[],[2,9,11,49,30,37])).
% 3.33/3.52 cnf(159,plain,
% 3.33/3.52 (P2(f2(f10(x1591,x1592)),f11(x1591,x1592))),
% 3.33/3.52 inference(scs_inference,[],[2,9,5,11,49,30,37,31])).
% 3.33/3.52 cnf(160,plain,
% 3.33/3.52 (P2(f2(x1601),x1601)),
% 3.33/3.52 inference(rename_variables,[],[5])).
% 3.33/3.52 cnf(162,plain,
% 3.33/3.52 (~P1(f11(x1621,x1622))),
% 3.33/3.52 inference(scs_inference,[],[2,9,5,11,49,30,37,31,23])).
% 3.33/3.52 cnf(164,plain,
% 3.33/3.52 (P3(x1641,f2(f16(x1641)))),
% 3.33/3.52 inference(scs_inference,[],[2,9,5,160,11,49,30,37,31,23,28])).
% 3.33/3.52 cnf(165,plain,
% 3.33/3.52 (P2(f2(x1651),x1651)),
% 3.33/3.52 inference(rename_variables,[],[5])).
% 3.33/3.52 cnf(168,plain,
% 3.33/3.52 (P2(f2(x1681),x1681)),
% 3.33/3.52 inference(rename_variables,[],[5])).
% 3.33/3.52 cnf(172,plain,
% 3.33/3.52 (P2(x1721,x1721)),
% 3.33/3.52 inference(rename_variables,[],[4])).
% 3.33/3.52 cnf(173,plain,
% 3.33/3.52 (P2(f2(x1731),x1731)),
% 3.33/3.52 inference(rename_variables,[],[5])).
% 3.33/3.52 cnf(175,plain,
% 3.33/3.52 (P4(f11(x1751,x1752),a12,f2(f10(x1751,x1752)))),
% 3.33/3.52 inference(scs_inference,[],[2,16,12,9,4,172,5,160,165,168,11,49,78,30,37,31,23,28,36,41,40])).
% 3.33/3.52 cnf(177,plain,
% 3.33/3.52 (P2(f11(x1771,x1772),f10(x1771,x1772))),
% 3.33/3.52 inference(scs_inference,[],[2,16,12,9,4,172,5,160,165,168,11,49,78,30,37,31,23,28,36,41,40,24])).
% 3.33/3.52 cnf(179,plain,
% 3.33/3.52 (P1(f2(a12))),
% 3.33/3.52 inference(scs_inference,[],[2,16,12,9,4,172,5,160,165,168,173,11,49,78,30,37,31,23,28,36,41,40,24,20])).
% 3.33/3.52 cnf(180,plain,
% 3.33/3.52 (P2(f2(x1801),x1801)),
% 3.33/3.52 inference(rename_variables,[],[5])).
% 3.33/3.52 cnf(182,plain,
% 3.33/3.52 (~P1(f2(f3(x1821,x1822)))),
% 3.33/3.52 inference(scs_inference,[],[2,16,12,9,4,172,5,160,165,168,173,180,11,49,112,78,30,37,31,23,28,36,41,40,24,20,22])).
% 3.33/3.52 cnf(186,plain,
% 3.33/3.52 (~P3(f11(x1861,x1862),a12)),
% 3.33/3.52 inference(scs_inference,[],[2,13,16,12,9,4,172,5,160,165,168,173,180,11,49,112,78,55,57,30,37,31,23,28,36,41,40,24,20,22,43,34])).
% 3.33/3.52 cnf(192,plain,
% 3.33/3.52 (~P3(f2(f11(x1921,x1922)),a12)),
% 3.33/3.52 inference(scs_inference,[],[4,5,186,33])).
% 3.33/3.52 cnf(193,plain,
% 3.33/3.52 (P2(x1931,x1931)),
% 3.33/3.52 inference(rename_variables,[],[4])).
% 3.33/3.52 cnf(194,plain,
% 3.33/3.52 (P2(f2(x1941),x1941)),
% 3.33/3.52 inference(rename_variables,[],[5])).
% 3.33/3.52 cnf(197,plain,
% 3.33/3.52 (~P3(f11(x1971,x1972),a12)),
% 3.33/3.52 inference(rename_variables,[],[186])).
% 3.33/3.52 cnf(198,plain,
% 3.33/3.52 (P2(x1981,x1981)),
% 3.33/3.52 inference(rename_variables,[],[4])).
% 3.33/3.52 cnf(200,plain,
% 3.33/3.52 (~P1(f2(f10(x2001,x2002)))),
% 3.33/3.52 inference(scs_inference,[],[4,193,5,159,177,162,186,33,34,22])).
% 3.33/3.52 cnf(203,plain,
% 3.33/3.52 (~P3(x2031,f6(x2032))),
% 3.33/3.52 inference(scs_inference,[],[2,4,193,198,5,159,177,162,186,33,34,22,30])).
% 3.33/3.52 cnf(204,plain,
% 3.33/3.52 (P2(x2041,x2041)),
% 3.33/3.52 inference(rename_variables,[],[4])).
% 3.33/3.52 cnf(206,plain,
% 3.33/3.52 (P4(f7(x2061),f7(x2061),f20(f8(x2061),f8(x2061)))),
% 3.33/3.52 inference(scs_inference,[],[2,6,14,4,193,198,204,5,159,177,162,186,33,34,22,30,41])).
% 3.33/3.52 cnf(210,plain,
% 3.33/3.53 (~P5(f6(x2101),f6(x2101),f2(f6(x2101)))),
% 3.33/3.53 inference(scs_inference,[],[2,6,14,4,193,198,204,5,194,159,177,162,186,197,33,34,22,30,41,28,37])).
% 3.33/3.53 cnf(213,plain,
% 3.33/3.53 (P1(f7(x2131))),
% 3.33/3.53 inference(scs_inference,[],[2,3,6,14,4,193,198,204,5,194,159,177,162,186,197,33,34,22,30,41,28,37,23])).
% 3.33/3.53 cnf(235,plain,
% 3.33/3.53 (P3(x2351,f16(x2351))),
% 3.33/3.53 inference(rename_variables,[],[46])).
% 3.33/3.53 cnf(237,plain,
% 3.33/3.53 (~P5(f6(x2371),f6(x2371),f6(x2371))),
% 3.33/3.53 inference(scs_inference,[],[46,10,4,5,210,203,33,43])).
% 3.33/3.53 cnf(239,plain,
% 3.33/3.53 (P2(f2(x2391),x2391)),
% 3.33/3.53 inference(rename_variables,[],[5])).
% 3.33/3.53 cnf(240,plain,
% 3.33/3.53 (P2(x2401,x2401)),
% 3.33/3.53 inference(rename_variables,[],[4])).
% 3.33/3.53 cnf(246,plain,
% 3.33/3.53 (P3(x2461,f16(x2461))),
% 3.33/3.53 inference(rename_variables,[],[46])).
% 3.33/3.53 cnf(248,plain,
% 3.33/3.53 (~P2(f2(f3(x2481,x2482)),f8(x2483))),
% 3.33/3.53 inference(scs_inference,[],[3,46,235,10,4,240,5,210,182,203,33,43,22,34,23])).
% 3.33/3.53 cnf(250,plain,
% 3.33/3.53 (~P2(f8(x2501),f16(x2502))),
% 3.33/3.53 inference(scs_inference,[],[3,46,235,246,10,4,240,5,210,182,203,33,43,22,34,23,30])).
% 3.33/3.53 cnf(252,plain,
% 3.33/3.53 (P2(f19(x2521,x2522),f4(x2521,x2522))),
% 3.33/3.53 inference(scs_inference,[],[3,46,235,246,10,4,240,5,210,182,203,33,43,22,34,23,30,24])).
% 3.33/3.53 cnf(254,plain,
% 3.33/3.53 (P2(f19(x2541,x2542),f17(f5(x2541,x2542),x2541))),
% 3.33/3.53 inference(scs_inference,[],[3,46,235,246,18,10,4,240,5,210,182,203,33,43,22,34,23,30,24,38])).
% 3.33/3.53 cnf(258,plain,
% 3.33/3.53 (P2(f3(x2581,x2582),f16(x2582))),
% 3.33/3.53 inference(scs_inference,[],[3,46,235,246,17,18,8,10,4,240,5,210,182,203,33,43,22,34,23,30,24,38,39,27])).
% 3.33/3.53 cnf(260,plain,
% 3.33/3.53 (P4(x2601,x2602,f2(f17(x2601,x2602)))),
% 3.33/3.53 inference(scs_inference,[],[3,46,235,246,17,18,8,10,4,240,5,239,210,182,203,33,43,22,34,23,30,24,38,39,27,35])).
% 3.33/3.53 cnf(261,plain,
% 3.33/3.53 (P2(f2(x2611),x2611)),
% 3.33/3.53 inference(rename_variables,[],[5])).
% 3.33/3.53 cnf(263,plain,
% 3.33/3.53 (P2(f8(x2631),a12)),
% 3.33/3.53 inference(scs_inference,[],[3,46,235,246,17,18,8,10,4,240,5,239,210,182,203,33,43,22,34,23,30,24,38,39,27,35,19])).
% 3.33/3.53 cnf(267,plain,
% 3.33/3.53 (P2(f2(f4(x2671,x2672)),f19(x2671,x2672))),
% 3.33/3.53 inference(scs_inference,[],[3,46,235,246,17,18,8,10,4,240,5,239,261,210,182,203,33,43,22,34,23,30,24,38,39,27,35,19,36,31])).
% 3.33/3.53 cnf(278,plain,
% 3.33/3.53 (~P3(x2781,f8(x2782))),
% 3.33/3.53 inference(scs_inference,[],[250,27])).
% 3.33/3.53 cnf(280,plain,
% 3.33/3.53 (~P2(f2(f3(x2801,x2802)),f7(x2803))),
% 3.33/3.53 inference(scs_inference,[],[6,248,250,27,31])).
% 3.33/3.53 cnf(281,plain,
% 3.33/3.53 (P2(f7(x2811),f8(x2811))),
% 3.33/3.53 inference(rename_variables,[],[6])).
% 3.33/3.53 cnf(283,plain,
% 3.33/3.53 (~P2(f5(f8(x2831),f8(x2831)),f8(x2831))),
% 3.33/3.53 inference(scs_inference,[],[3,15,6,248,250,27,31,37])).
% 3.33/3.53 cnf(284,plain,
% 3.33/3.53 (P5(x2841,x2842,f5(x2841,x2842))),
% 3.33/3.53 inference(rename_variables,[],[15])).
% 3.33/3.53 cnf(286,plain,
% 3.33/3.53 (~P1(f2(f11(x2861,x2862)))),
% 3.33/3.53 inference(scs_inference,[],[3,15,6,5,248,250,162,27,31,37,22])).
% 3.33/3.53 cnf(287,plain,
% 3.33/3.53 (P2(f2(x2871),x2871)),
% 3.33/3.53 inference(rename_variables,[],[5])).
% 3.33/3.53 cnf(289,plain,
% 3.33/3.53 (P3(f8(x2891),f16(f7(x2891)))),
% 3.33/3.53 inference(scs_inference,[],[3,46,15,6,281,5,4,248,250,162,27,31,37,22,33])).
% 3.33/3.53 cnf(291,plain,
% 3.33/3.53 (P2(x2911,x2911)),
% 3.33/3.53 inference(rename_variables,[],[4])).
% 3.33/3.53 cnf(293,plain,
% 3.33/3.53 (P1(f2(f7(x2931)))),
% 3.33/3.53 inference(scs_inference,[],[3,46,15,6,281,5,287,4,213,248,250,162,27,31,37,22,33,23])).
% 3.33/3.53 cnf(296,plain,
% 3.33/3.53 (~P2(f8(x2961),f3(x2962,x2963))),
% 3.33/3.53 inference(scs_inference,[],[3,46,8,15,6,281,5,287,4,213,248,250,162,27,31,37,22,33,23,30])).
% 3.33/3.53 cnf(298,plain,
% 3.33/3.53 (~P5(a12,a12,a12)),
% 3.33/3.53 inference(scs_inference,[],[3,46,8,15,6,281,5,287,4,213,248,250,162,57,78,27,31,37,22,33,23,30,43])).
% 3.33/3.53 cnf(301,plain,
% 3.33/3.53 (P5(f8(x3011),f8(x3011),f5(f7(x3011),f7(x3011)))),
% 3.33/3.53 inference(scs_inference,[],[3,46,8,15,284,6,281,5,287,4,291,213,248,250,162,57,78,27,31,37,22,33,23,30,43,42])).
% 3.33/3.53 cnf(305,plain,
% 3.33/3.53 (~P2(f6(x3051),f3(x3052,f8(x3053)))),
% 3.33/3.53 inference(scs_inference,[],[3,46,8,15,284,6,281,5,287,4,291,213,248,250,162,203,57,78,27,31,37,22,33,23,30,43,42,34])).
% 3.33/3.53 cnf(311,plain,
% 3.33/3.53 (P2(f11(x3111,x3112),f16(f20(x3111,x3112)))),
% 3.33/3.53 inference(scs_inference,[],[11,27])).
% 3.33/3.53 cnf(313,plain,
% 3.33/3.53 (~P5(f2(a12),f2(a12),f2(a12))),
% 3.33/3.53 inference(scs_inference,[],[4,11,179,27,37])).
% 3.33/3.53 cnf(314,plain,
% 3.33/3.53 (P2(x3141,x3141)),
% 3.33/3.53 inference(rename_variables,[],[4])).
% 3.33/3.53 cnf(316,plain,
% 3.33/3.53 (P3(f17(x3161,x3162),f11(x3161,x3162))),
% 3.33/3.53 inference(scs_inference,[],[4,314,11,84,179,27,37,33])).
% 3.33/3.53 cnf(318,plain,
% 3.33/3.53 (P2(x3181,x3181)),
% 3.33/3.53 inference(rename_variables,[],[4])).
% 3.33/3.53 cnf(320,plain,
% 3.33/3.53 (P5(f7(x3201),f7(x3201),f18(f8(x3201),f8(x3201)))),
% 3.33/3.53 inference(scs_inference,[],[4,314,318,49,11,6,84,179,27,37,33,43])).
% 3.33/3.53 cnf(321,plain,
% 3.33/3.53 (P2(x3211,x3211)),
% 3.33/3.53 inference(rename_variables,[],[4])).
% 3.33/3.53 cnf(324,plain,
% 3.33/3.53 (~P3(x3241,a12)),
% 3.33/3.53 inference(scs_inference,[],[4,314,318,321,44,49,11,6,84,179,27,37,33,43,30])).
% 3.33/3.53 cnf(325,plain,
% 3.33/3.53 (P2(x3251,x3251)),
% 3.33/3.53 inference(rename_variables,[],[4])).
% 3.33/3.53 cnf(327,plain,
% 3.33/3.53 (~P1(f16(x3271))),
% 3.33/3.53 inference(scs_inference,[],[4,314,318,321,44,49,11,6,84,258,179,112,27,37,33,43,30,23])).
% 3.33/3.53 cnf(328,plain,
% 3.33/3.53 (P2(f3(x3281,x3282),f16(x3282))),
% 3.33/3.53 inference(rename_variables,[],[258])).
% 3.33/3.53 cnf(330,plain,
% 3.33/3.53 (~P1(f9(x3301,x3302))),
% 3.33/3.53 inference(scs_inference,[],[4,314,318,321,44,49,11,6,84,80,258,179,112,27,37,33,43,30,23,22])).
% 3.33/3.53 cnf(335,plain,
% 3.33/3.53 (P2(x3351,x3351)),
% 3.33/3.53 inference(rename_variables,[],[4])).
% 3.33/3.53 cnf(338,plain,
% 3.33/3.53 (P2(f8(x3381),f7(x3381))),
% 3.33/3.53 inference(scs_inference,[],[4,314,318,321,325,44,49,17,11,6,84,80,258,328,179,112,27,37,33,43,30,23,22,42,24])).
% 3.33/3.53 cnf(340,plain,
% 3.33/3.53 (~P3(f2(f11(x3401,x3402)),f2(a12))),
% 3.33/3.53 inference(scs_inference,[],[4,314,318,321,325,335,44,49,17,11,6,84,80,258,328,179,192,76,112,27,37,33,43,30,23,22,42,24,34])).
% 3.33/3.53 cnf(348,plain,
% 3.33/3.53 (P2(x3481,x3481)),
% 3.33/3.53 inference(rename_variables,[],[4])).
% 3.33/3.53 cnf(350,plain,
% 3.33/3.53 (~P3(f7(x3501),f7(x3501))),
% 3.33/3.53 inference(scs_inference,[],[4,14,9,6,278,40,33])).
% 3.33/3.53 cnf(354,plain,
% 3.33/3.53 (~P1(f2(f16(x3541)))),
% 3.33/3.53 inference(scs_inference,[],[4,46,14,5,9,6,278,40,33,30])).
% 3.33/3.53 cnf(355,plain,
% 3.33/3.53 (P2(f2(x3551),x3551)),
% 3.33/3.53 inference(rename_variables,[],[5])).
% 3.33/3.53 cnf(357,plain,
% 3.33/3.53 (~P1(f18(a12,a12))),
% 3.33/3.53 inference(scs_inference,[],[4,348,44,46,49,14,5,9,6,278,40,33,30,37])).
% 3.33/3.53 cnf(358,plain,
% 3.33/3.53 (P2(x3581,x3581)),
% 3.33/3.53 inference(rename_variables,[],[4])).
% 3.33/3.53 cnf(365,plain,
% 3.33/3.53 (~P5(f8(x3651),f8(x3651),f8(x3651))),
% 3.33/3.53 inference(scs_inference,[],[4,348,44,46,49,14,5,9,6,200,278,263,298,40,33,30,37,23,22,42])).
% 3.33/3.53 cnf(367,plain,
% 3.33/3.53 (P3(f2(x3671),f16(x3671))),
% 3.33/3.53 inference(scs_inference,[],[4,348,358,44,46,49,14,5,355,9,6,200,278,263,298,40,33,30,37,23,22,42,34])).
% 3.33/3.53 cnf(371,plain,
% 3.33/3.53 (~P2(f8(x3711),f5(f8(x3711),f8(x3711)))),
% 3.33/3.53 inference(scs_inference,[],[4,348,358,44,46,49,14,5,355,9,6,283,200,278,263,298,40,33,30,37,23,22,42,34,24])).
% 3.33/3.53 cnf(381,plain,
% 3.33/3.53 (P2(x3811,f2(x3811))),
% 3.33/3.53 inference(rename_variables,[],[76])).
% 3.33/3.53 cnf(383,plain,
% 3.33/3.53 (P2(x3831,x3831)),
% 3.33/3.53 inference(rename_variables,[],[4])).
% 3.33/3.53 cnf(385,plain,
% 3.33/3.53 (~P2(f7(x3851),f5(f8(x3851),f8(x3851)))),
% 3.33/3.53 inference(scs_inference,[],[5,52,371,338,76,4,40,31])).
% 3.33/3.53 cnf(388,plain,
% 3.33/3.53 (~P1(f2(f9(x3881,x3882)))),
% 3.33/3.53 inference(scs_inference,[],[5,52,7,371,338,76,4,40,31,30])).
% 3.33/3.53 cnf(389,plain,
% 3.33/3.53 (P2(f2(x3891),x3891)),
% 3.33/3.53 inference(rename_variables,[],[5])).
% 3.33/3.53 cnf(393,plain,
% 3.33/3.53 (P3(x3931,f16(x3931))),
% 3.33/3.53 inference(rename_variables,[],[46])).
% 3.33/3.53 cnf(395,plain,
% 3.33/3.53 (~P1(f2(f18(a12,a12)))),
% 3.33/3.53 inference(scs_inference,[],[5,389,52,46,7,371,357,324,338,76,381,4,40,31,30,33,23])).
% 3.33/3.53 cnf(398,plain,
% 3.33/3.53 (~P1(f5(a12,a12))),
% 3.33/3.53 inference(scs_inference,[],[5,389,52,44,46,7,64,371,357,324,338,76,381,4,40,31,30,33,23,37])).
% 3.33/3.53 cnf(399,plain,
% 3.33/3.53 (P2(f2(x3991),x3991)),
% 3.33/3.53 inference(rename_variables,[],[5])).
% 3.33/3.53 cnf(402,plain,
% 3.33/3.53 (~P2(f18(f7(x4021),f7(x4021)),f8(x4021))),
% 3.33/3.53 inference(scs_inference,[],[5,389,52,49,44,46,7,6,64,365,371,357,324,338,76,381,4,40,31,30,33,23,37,42])).
% 3.33/3.53 cnf(406,plain,
% 3.33/3.53 (P3(f2(f20(x4061,x4062)),f10(x4061,x4062))),
% 3.33/3.53 inference(scs_inference,[],[5,389,399,52,49,44,46,7,11,9,6,64,365,371,357,324,338,76,381,4,40,31,30,33,23,37,42,34])).
% 3.33/3.53 cnf(408,plain,
% 3.33/3.53 (P2(f2(x4081),x4081)),
% 3.33/3.53 inference(rename_variables,[],[5])).
% 3.33/3.53 cnf(410,plain,
% 3.33/3.53 (P2(f17(f5(x4101,x4102),x4101),f19(x4101,x4102))),
% 3.33/3.53 inference(scs_inference,[],[5,389,399,52,49,44,46,7,11,9,6,64,365,371,254,357,324,338,76,381,4,40,31,30,33,23,37,42,34,24])).
% 3.33/3.53 cnf(412,plain,
% 3.33/3.53 (P2(f10(x4121,x4122),f17(x4121,f9(x4121,x4122)))),
% 3.33/3.53 inference(scs_inference,[],[5,389,399,52,16,49,44,46,7,11,9,6,64,365,371,254,357,324,338,76,381,4,40,31,30,33,23,37,42,34,24,38])).
% 3.33/3.53 cnf(414,plain,
% 3.33/3.53 (P2(f7(x4141),f18(x4141,f6(x4141)))),
% 3.33/3.53 inference(scs_inference,[],[5,389,399,52,16,13,49,44,46,7,11,9,6,64,365,371,254,357,324,338,76,381,4,40,31,30,33,23,37,42,34,24,38,39])).
% 3.33/3.53 cnf(416,plain,
% 3.33/3.53 (P2(f2(f1(x4161)),a12)),
% 3.33/3.53 inference(scs_inference,[],[5,389,399,52,16,13,49,44,46,7,11,9,6,64,365,371,254,102,357,324,338,76,381,4,40,31,30,33,23,37,42,34,24,38,39,19])).
% 3.33/3.53 cnf(418,plain,
% 3.33/3.53 (P4(f5(x4181,x4182),f2(x4181),f4(x4181,x4182))),
% 3.33/3.53 inference(scs_inference,[],[5,389,399,408,52,16,18,13,49,44,46,7,11,10,9,6,64,365,371,254,102,357,324,338,76,381,4,383,40,31,30,33,23,37,42,34,24,38,39,19,41])).
% 3.33/3.53 cnf(421,plain,
% 3.33/3.53 (P2(x4211,x4211)),
% 3.33/3.53 inference(rename_variables,[],[4])).
% 3.33/3.53 cnf(427,plain,
% 3.33/3.53 (~P1(f2(f5(a12,a12)))),
% 3.33/3.53 inference(scs_inference,[],[5,389,399,408,52,16,18,13,49,44,46,7,11,10,9,6,64,365,371,254,350,102,286,357,324,338,76,381,4,383,40,31,30,33,23,37,42,34,24,38,39,19,41,28,20,22])).
% 3.33/3.53 cnf(431,plain,
% 3.33/3.53 (P2(f17(x4311,x4312),f20(x4311,x4312))),
% 3.33/3.53 inference(scs_inference,[],[5,389,399,408,52,16,18,13,49,44,46,393,7,11,10,9,6,64,237,365,371,254,350,102,286,357,324,316,311,338,76,381,4,383,421,40,31,30,33,23,37,42,34,24,38,39,19,41,28,20,22,43,32])).
% 3.33/3.53 cnf(433,plain,
% 3.33/3.53 (P4(f2(x4331),f2(x4331),f17(x4331,x4331))),
% 3.33/3.53 inference(scs_inference,[],[5,14,431,41])).
% 3.33/3.53 cnf(435,plain,
% 3.33/3.53 (P2(f2(x4351),x4351)),
% 3.33/3.53 inference(rename_variables,[],[5])).
% 3.33/3.53 cnf(437,plain,
% 3.33/3.53 (P2(f2(x4371),x4371)),
% 3.33/3.53 inference(rename_variables,[],[5])).
% 3.33/3.53 cnf(444,plain,
% 3.33/3.53 (P2(f2(f2(x4441)),x4441)),
% 3.33/3.53 inference(scs_inference,[],[5,437,435,16,14,9,431,80,41,40,31])).
% 3.33/3.53 cnf(445,plain,
% 3.33/3.53 (P2(f2(x4451),x4451)),
% 3.33/3.53 inference(rename_variables,[],[5])).
% 3.33/3.53 cnf(447,plain,
% 3.33/3.53 (P1(f2(f2(a12)))),
% 3.33/3.53 inference(scs_inference,[],[5,437,435,16,14,9,431,80,41,40,31,20])).
% 3.33/3.53 cnf(449,plain,
% 3.33/3.53 (~P3(x4491,f7(x4492))),
% 3.33/3.53 inference(scs_inference,[],[5,437,445,435,16,14,9,431,293,80,41,40,31,20,30])).
% 3.33/3.53 cnf(450,plain,
% 3.33/3.53 (P2(f2(x4501),x4501)),
% 3.33/3.53 inference(rename_variables,[],[5])).
% 3.33/3.53 cnf(452,plain,
% 3.33/3.53 (~P1(f17(x4521,f9(x4521,x4522)))),
% 3.33/3.53 inference(scs_inference,[],[5,437,445,435,16,14,9,412,431,293,153,80,41,40,31,20,30,23])).
% 3.33/3.53 cnf(458,plain,
% 3.33/3.53 (P2(f2(x4581),x4581)),
% 3.33/3.53 inference(rename_variables,[],[5])).
% 3.33/3.53 cnf(460,plain,
% 3.33/3.53 (P2(f2(x4601),x4601)),
% 3.33/3.53 inference(rename_variables,[],[5])).
% 3.33/3.53 cnf(462,plain,
% 3.33/3.53 (P1(f18(x4621,f6(x4621)))),
% 3.33/3.53 inference(scs_inference,[],[5,437,445,450,435,16,49,14,44,15,9,414,412,431,293,153,213,80,298,41,40,31,20,30,23,37,42,22])).
% 3.33/3.53 cnf(467,plain,
% 3.33/3.53 (P5(f2(a12),f2(a12),f2(f18(a12,a12)))),
% 3.33/3.53 inference(scs_inference,[],[5,437,445,450,460,458,435,16,49,14,44,15,46,9,414,412,431,293,340,153,213,80,298,41,40,31,20,30,23,37,42,22,34,43])).
% 3.33/3.53 cnf(469,plain,
% 3.33/3.53 (~P2(f5(f8(x4691),f8(x4691)),f7(x4691))),
% 3.33/3.53 inference(scs_inference,[],[5,437,445,450,460,458,435,16,49,14,44,15,46,9,385,414,412,431,293,340,153,213,80,298,41,40,31,20,30,23,37,42,22,34,43,24])).
% 3.33/3.53 cnf(471,plain,
% 3.33/3.53 (~P1(f5(f2(a12),f2(a12)))),
% 3.33/3.53 inference(scs_inference,[],[5,437,445,450,460,458,435,16,49,14,44,15,46,9,385,414,412,431,293,340,153,213,80,298,41,40,31,20,30,23,37,42,22,34,43,24,19])).
% 3.33/3.53 cnf(473,plain,
% 3.33/3.53 (~P3(f3(x4731,x4732),f9(x4733,f1(x4734)))),
% 3.33/3.53 inference(scs_inference,[],[5,437,445,450,460,458,435,16,49,14,44,15,46,7,9,385,414,412,431,115,293,340,153,213,80,298,4,41,40,31,20,30,23,37,42,22,34,43,24,19,32])).
% 3.33/3.53 cnf(479,plain,
% 3.33/3.53 (P3(f17(x4791,x4792),f10(x4791,x4792))),
% 3.33/3.53 inference(scs_inference,[],[5,437,445,450,460,458,435,16,49,14,44,15,46,7,11,9,385,414,412,431,115,293,340,84,177,153,213,80,298,4,41,40,31,20,30,23,37,42,22,34,43,24,19,32,27,33])).
% 3.33/3.53 cnf(481,plain,
% 3.33/3.53 (P2(f18(x4811,f6(x4811)),a12)),
% 3.33/3.53 inference(scs_inference,[],[462,19])).
% 3.33/3.53 cnf(483,plain,
% 3.33/3.53 (P2(f2(f20(x4831,x4832)),f17(x4831,x4832))),
% 3.33/3.53 inference(scs_inference,[],[9,406,462,316,19,32])).
% 3.33/3.53 cnf(487,plain,
% 3.33/3.53 (P2(f16(x4871),f16(f2(x4871)))),
% 3.33/3.53 inference(scs_inference,[],[9,367,406,462,316,19,32,27])).
% 3.33/3.53 cnf(489,plain,
% 3.33/3.53 (~P2(f18(f7(x4891),f7(x4891)),f7(x4891))),
% 3.33/3.53 inference(scs_inference,[],[6,9,402,367,406,462,316,19,32,27,31])).
% 3.33/3.53 cnf(490,plain,
% 3.33/3.53 (P2(f7(x4901),f8(x4901))),
% 3.33/3.53 inference(rename_variables,[],[6])).
% 3.33/3.53 cnf(494,plain,
% 3.33/3.53 (~P2(f17(x4941,f9(x4941,x4942)),a12)),
% 3.33/3.53 inference(scs_inference,[],[6,8,44,9,402,367,406,462,452,316,19,32,27,31,30,23])).
% 3.33/3.54 cnf(498,plain,
% 3.33/3.54 (~P5(a12,a12,f2(f2(a12)))),
% 3.33/3.54 inference(scs_inference,[],[6,8,44,9,402,367,406,444,462,452,327,316,19,32,27,31,30,23,20,37])).
% 3.33/3.54 cnf(506,plain,
% 3.33/3.54 (~P2(a12,f17(x5061,f9(x5061,x5062)))),
% 3.33/3.54 inference(scs_inference,[],[6,490,17,8,44,10,9,402,367,406,444,462,452,327,316,258,19,32,27,31,30,23,20,37,42,22])).
% 3.33/3.54 cnf(512,plain,
% 3.33/3.54 (~P5(f7(x5121),f7(x5121),f7(x5121))),
% 3.33/3.54 inference(scs_inference,[],[6,490,55,17,8,44,10,9,402,367,406,444,462,452,327,365,316,258,338,76,19,32,27,31,30,23,20,37,42,22,34,43])).
% 3.33/3.54 cnf(515,plain,
% 3.33/3.54 (P2(f2(f19(x5151,x5152)),f4(x5151,x5152))),
% 3.33/3.54 inference(scs_inference,[],[6,490,55,17,8,44,10,9,402,107,367,406,444,462,452,327,365,316,258,338,76,19,32,27,31,30,23,20,37,42,22,34,43,24])).
% 3.33/3.54 cnf(517,plain,
% 3.33/3.54 (~P4(x5171,f9(x5171,x5172),a12)),
% 3.33/3.54 inference(scs_inference,[],[6,490,55,17,8,44,10,9,402,107,367,406,444,462,452,327,365,316,258,338,76,19,32,27,31,30,23,20,37,42,22,34,43,24,38])).
% 3.33/3.54 cnf(519,plain,
% 3.33/3.54 (P4(x5191,x5192,f2(f20(x5191,x5192)))),
% 3.33/3.54 inference(scs_inference,[],[6,490,55,17,8,44,10,9,402,107,367,406,444,462,452,327,365,316,258,338,76,19,32,27,31,30,23,20,37,42,22,34,43,24,38,35])).
% 3.33/3.54 cnf(527,plain,
% 3.33/3.54 (P2(f2(x5271),f17(x5271,f1(x5271)))),
% 3.33/3.54 inference(scs_inference,[],[12,38])).
% 3.33/3.54 cnf(529,plain,
% 3.33/3.54 (~P3(a12,f11(x5291,f9(x5291,x5292)))),
% 3.33/3.54 inference(scs_inference,[],[12,9,479,494,38,32])).
% 3.33/3.54 cnf(539,plain,
% 3.33/3.54 (P2(f5(x5391,x5392),f18(x5391,x5392))),
% 3.33/3.54 inference(rename_variables,[],[82])).
% 3.33/3.54 cnf(543,plain,
% 3.33/3.54 (~P5(a12,a12,f7(x5431))),
% 3.33/3.54 inference(scs_inference,[],[6,12,46,44,9,469,479,517,494,82,80,76,3,38,32,41,31,30,37])).
% 3.33/3.54 cnf(544,plain,
% 3.33/3.54 (P2(f7(x5441),f8(x5441))),
% 3.33/3.54 inference(rename_variables,[],[6])).
% 3.33/3.54 cnf(546,plain,
% 3.33/3.54 (P5(a12,a12,f18(f7(x5461),f7(x5461)))),
% 3.33/3.54 inference(scs_inference,[],[6,12,46,44,9,301,469,479,517,494,82,539,263,80,76,3,38,32,41,31,30,37,42])).
% 3.33/3.54 cnf(560,plain,
% 3.33/3.54 (~P2(f2(a12),f17(f8(x5601),f16(x5602)))),
% 3.33/3.54 inference(scs_inference,[],[6,544,12,55,49,46,44,9,301,469,489,512,479,517,494,82,539,263,80,76,3,38,32,41,31,30,37,42,33,43,24,35])).
% 3.33/3.54 cnf(562,plain,
% 3.33/3.54 (~P5(f8(x5621),f8(x5621),f7(x5621))),
% 3.33/3.54 inference(scs_inference,[],[6,544,12,55,49,46,44,9,301,469,489,512,479,517,494,82,539,263,80,76,3,38,32,41,31,30,37,42,33,43,24,35,39])).
% 3.33/3.54 cnf(571,plain,
% 3.33/3.54 (P2(f18(f7(x5711),f7(x5711)),f18(a12,a12))),
% 3.33/3.54 inference(scs_inference,[],[546,39])).
% 3.33/3.54 cnf(573,plain,
% 3.33/3.54 (P2(f2(f9(x5731,x5732)),f16(x5732))),
% 3.33/3.54 inference(scs_inference,[],[60,546,39,27])).
% 3.33/3.54 cnf(575,plain,
% 3.33/3.54 (~P2(f10(x5751,f9(x5751,x5752)),f9(x5753,a12))),
% 3.33/3.54 inference(scs_inference,[],[7,60,546,479,494,39,27,32])).
% 3.33/3.54 cnf(577,plain,
% 3.33/3.54 (P3(x5771,f9(x5772,x5771))),
% 3.33/3.54 inference(rename_variables,[],[7])).
% 3.33/3.54 cnf(580,plain,
% 3.33/3.54 (P2(x5801,x5801)),
% 3.33/3.54 inference(rename_variables,[],[4])).
% 3.33/3.54 cnf(586,plain,
% 3.33/3.54 (P2(f10(x5861,x5862),f16(f20(x5861,x5862)))),
% 3.33/3.54 inference(scs_inference,[],[7,52,10,9,44,60,546,479,494,311,76,4,39,27,32,41,30,31])).
% 3.33/3.54 cnf(591,plain,
% 3.33/3.54 (P5(f19(x5911,x5912),f19(x5911,x5912),f5(f4(x5911,x5912),f4(x5911,x5912)))),
% 3.33/3.54 inference(scs_inference,[],[7,52,15,10,9,44,60,546,481,479,494,311,76,4,580,39,27,32,41,30,31,37,42])).
% 3.33/3.54 cnf(592,plain,
% 3.33/3.54 (P2(x5921,x5921)),
% 3.33/3.54 inference(rename_variables,[],[4])).
% 3.33/3.54 cnf(599,plain,
% 3.33/3.54 (P3(f17(x5991,x5992),f2(f10(x5991,x5992)))),
% 3.33/3.54 inference(scs_inference,[],[7,577,52,15,11,10,9,44,60,546,481,159,431,479,494,311,80,76,4,580,39,27,32,41,30,31,37,42,33,34])).
% 3.33/3.54 cnf(608,plain,
% 3.33/3.54 (P2(f17(x6081,f1(x6081)),f2(x6081))),
% 3.33/3.54 inference(scs_inference,[],[7,577,52,17,15,11,10,9,44,527,252,60,546,481,159,431,479,444,494,311,80,76,4,580,592,39,27,32,41,30,31,37,42,33,34,43,24])).
% 3.33/3.54 cnf(610,plain,
% 3.33/3.54 (~P2(f7(x6101),f16(x6102))),
% 3.33/3.54 inference(scs_inference,[],[7,577,52,17,15,11,10,9,44,527,252,60,449,546,481,159,431,479,444,494,311,80,76,4,580,592,39,27,32,41,30,31,37,42,33,34,43,24,28])).
% 3.33/3.54 cnf(614,plain,
% 3.33/3.54 (P1(f17(a12,f1(a12)))),
% 3.33/3.54 inference(scs_inference,[],[608,586,179,28,23])).
% 3.33/3.54 cnf(621,plain,
% 3.33/3.54 (~P3(x6211,f18(x6212,f6(x6212)))),
% 3.33/3.55 inference(scs_inference,[],[52,608,483,586,179,414,213,263,28,23,41,30])).
% 3.33/3.55 cnf(627,plain,
% 3.33/3.55 (~P2(f1(x6271),f10(x6272,x6273))),
% 3.33/3.55 inference(scs_inference,[],[52,15,9,44,608,483,586,145,179,414,213,263,28,23,41,30,37,31])).
% 3.33/3.55 cnf(628,plain,
% 3.33/3.55 (P2(f10(x6281,x6282),f11(x6281,x6282))),
% 3.33/3.55 inference(rename_variables,[],[9])).
% 3.33/3.55 cnf(630,plain,
% 3.33/3.55 (~P1(f18(f7(x6301),f7(x6301)))),
% 3.33/3.55 inference(scs_inference,[],[52,15,9,44,608,483,586,145,571,357,179,414,213,263,28,23,41,30,37,31,22])).
% 3.33/3.55 cnf(632,plain,
% 3.33/3.55 (~P2(f18(a12,a12),f2(a12))),
% 3.33/3.55 inference(scs_inference,[],[52,49,15,9,44,608,483,586,145,571,313,357,179,414,213,263,76,28,23,41,30,37,31,22,42])).
% 3.33/3.55 cnf(637,plain,
% 3.33/3.55 (P3(x6371,f9(x6372,x6371))),
% 3.33/3.55 inference(rename_variables,[],[7])).
% 3.33/3.55 cnf(652,plain,
% 3.33/3.55 (~P3(f2(a12),f11(f8(x6521),f16(x6522)))),
% 3.33/3.55 inference(scs_inference,[],[7,637,52,55,13,49,15,9,628,44,562,608,483,586,145,280,571,560,313,357,179,414,177,479,213,80,263,76,4,28,23,41,30,37,31,22,42,33,34,43,24,32])).
% 3.33/3.55 cnf(656,plain,
% 3.33/3.55 (P2(f17(x6561,x6561),f17(f2(x6561),f2(x6561)))),
% 3.33/3.55 inference(scs_inference,[],[433,38])).
% 3.33/3.55 cnf(660,plain,
% 3.33/3.55 (P2(f17(a12,f1(a12)),a12)),
% 3.33/3.55 inference(scs_inference,[],[433,614,64,38,39,19])).
% 3.33/3.55 cnf(664,plain,
% 3.33/3.55 (~P3(a12,f10(x6641,f9(x6641,x6642)))),
% 3.33/3.55 inference(scs_inference,[],[9,433,621,614,506,64,316,38,39,19,28,32])).
% 3.33/3.55 cnf(666,plain,
% 3.33/3.55 (P2(f10(x6661,x6662),f11(x6661,x6662))),
% 3.33/3.55 inference(rename_variables,[],[9])).
% 3.33/3.55 cnf(669,plain,
% 3.33/3.55 (P1(f20(a12,f1(a12)))),
% 3.33/3.55 inference(scs_inference,[],[9,433,621,614,506,64,84,316,38,39,19,28,32,23])).
% 3.33/3.55 cnf(674,plain,
% 3.33/3.55 (~P5(a12,a12,f2(f1(x6741)))),
% 3.33/3.55 inference(scs_inference,[],[14,9,666,44,433,621,614,506,416,64,84,431,316,38,39,19,28,32,23,41,37])).
% 3.33/3.55 cnf(676,plain,
% 3.33/3.55 (~P1(f5(f7(x6761),f7(x6761)))),
% 3.33/3.55 inference(scs_inference,[],[14,9,666,44,433,630,621,614,506,416,64,84,431,316,82,38,39,19,28,32,23,41,37,22])).
% 3.33/3.55 cnf(686,plain,
% 3.33/3.55 (P2(f19(x6861,x6862),f2(f4(x6861,x6862)))),
% 3.33/3.55 inference(scs_inference,[],[14,9,666,44,433,135,267,630,621,473,614,506,416,64,84,431,316,82,258,80,78,38,39,19,28,32,23,41,37,22,31,34,24])).
% 3.33/3.55 cnf(704,plain,
% 3.33/3.55 (~P4(x7041,f9(x7041,x7042),a12)),
% 3.33/3.55 inference(rename_variables,[],[517])).
% 3.33/3.55 cnf(706,plain,
% 3.33/3.55 (P2(x7061,f2(f2(x7061)))),
% 3.33/3.55 inference(scs_inference,[],[12,46,487,367,517,416,78,40,32])).
% 3.33/3.55 cnf(710,plain,
% 3.33/3.55 (~P4(f11(x7101,x7102),f16(x7103),f2(a12))),
% 3.33/3.55 inference(scs_inference,[],[12,46,9,487,367,517,704,416,80,78,76,40,32,41])).
% 3.33/3.55 cnf(713,plain,
% 3.33/3.55 (P2(x7131,f2(x7131))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(719,plain,
% 3.33/3.55 (P2(f17(x7191,x7191),f20(f2(x7191),f2(x7191)))),
% 3.33/3.55 inference(scs_inference,[],[12,46,9,44,656,676,487,367,517,704,416,431,80,78,76,40,32,41,23,22,31])).
% 3.33/3.55 cnf(722,plain,
% 3.33/3.55 (P3(f11(x7221,x7222),f9(x7223,f10(x7221,x7222)))),
% 3.33/3.55 inference(scs_inference,[],[60,12,46,9,44,656,676,487,367,517,704,416,431,80,78,76,5,40,32,41,23,22,31,33])).
% 3.33/3.55 cnf(726,plain,
% 3.33/3.55 (~P3(f2(a12),f11(x7261,f9(x7261,x7262)))),
% 3.33/3.55 inference(scs_inference,[],[60,12,46,9,44,656,676,664,487,367,517,704,416,431,80,78,76,713,5,40,32,41,23,22,31,33,34])).
% 3.33/3.55 cnf(737,plain,
% 3.33/3.55 (~P4(f11(x7371,x7372),f16(x7373),f2(f2(a12)))),
% 3.33/3.55 inference(scs_inference,[],[9,706,710,517,80,35,41])).
% 3.33/3.55 cnf(739,plain,
% 3.33/3.55 (P2(x7391,f2(f2(x7391)))),
% 3.33/3.55 inference(rename_variables,[],[706])).
% 3.33/3.55 cnf(742,plain,
% 3.33/3.55 (~P2(f7(x7421),f2(f9(x7422,x7423)))),
% 3.33/3.55 inference(scs_inference,[],[9,706,573,610,710,517,80,35,41,31])).
% 3.33/3.55 cnf(755,plain,
% 3.33/3.55 (P2(f10(x7551,x7552),f16(f17(x7551,x7552)))),
% 3.33/3.55 inference(scs_inference,[],[9,60,55,11,706,739,573,296,610,710,664,517,479,80,35,41,31,33,34,24,27])).
% 3.33/3.55 cnf(771,plain,
% 3.33/3.55 (~P4(f10(x7711,x7712),f10(x7713,x7714),a12)),
% 3.33/3.55 inference(scs_inference,[],[9,755,737,706,40])).
% 3.33/3.55 cnf(779,plain,
% 3.33/3.55 (~P3(x7791,f1(x7792))),
% 3.33/3.55 inference(rename_variables,[],[55])).
% 3.33/3.55 cnf(783,plain,
% 3.33/3.55 (P2(f10(x7831,x7832),f11(x7831,x7832))),
% 3.33/3.55 inference(rename_variables,[],[9])).
% 3.33/3.55 cnf(793,plain,
% 3.33/3.55 (P2(f20(f2(x7931),f2(x7931)),f17(x7931,x7931))),
% 3.33/3.55 inference(scs_inference,[],[9,783,55,779,49,46,44,719,755,722,330,737,575,706,82,40,22,33,31,43,34,24])).
% 3.33/3.55 cnf(823,plain,
% 3.33/3.55 (P2(x8231,f2(x8231))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(825,plain,
% 3.33/3.55 (P1(f2(f6(x8251)))),
% 3.33/3.55 inference(scs_inference,[],[10,60,76,823,44,130,260,354,771,2,5,35,40,30,23,41,22])).
% 3.33/3.55 cnf(826,plain,
% 3.33/3.55 (P2(x8261,f2(x8261))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(831,plain,
% 3.33/3.55 (P2(f18(x8311,f6(x8311)),f2(a12))),
% 3.33/3.55 inference(scs_inference,[],[10,60,76,823,826,44,130,260,354,771,660,324,481,2,5,35,40,30,23,41,22,33,31])).
% 3.33/3.55 cnf(832,plain,
% 3.33/3.55 (P2(x8321,f2(x8321))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(840,plain,
% 3.33/3.55 (P2(f4(x8401,x8402),f17(f5(x8401,x8402),f2(x8401)))),
% 3.33/3.55 inference(scs_inference,[],[10,60,55,76,823,826,832,44,130,418,260,305,354,771,660,324,481,2,5,35,40,30,23,41,22,33,31,34,24,38])).
% 3.33/3.55 cnf(852,plain,
% 3.33/3.55 (~P5(a12,a12,f17(a12,f1(a12)))),
% 3.33/3.55 inference(scs_inference,[],[10,60,55,76,823,826,832,44,130,156,418,260,305,354,388,669,771,529,543,660,324,481,2,5,35,40,30,23,41,22,33,31,34,24,38,19,36,28,20,32,37])).
% 3.33/3.55 cnf(863,plain,
% 3.33/3.55 (~P2(f17(f11(x8631,x8632),f11(x8631,x8632)),a12)),
% 3.33/3.55 inference(scs_inference,[],[52,771,177,40])).
% 3.33/3.55 cnf(866,plain,
% 3.33/3.55 (~P4(f10(x8661,x8662),f10(x8663,x8664),a12)),
% 3.33/3.55 inference(rename_variables,[],[771])).
% 3.33/3.55 cnf(873,plain,
% 3.33/3.55 (~P4(f11(x8731,x8732),f11(x8731,x8732),f2(a12))),
% 3.33/3.55 inference(scs_inference,[],[64,52,76,11,44,771,866,177,9,40,30,37,41])).
% 3.33/3.55 cnf(876,plain,
% 3.33/3.55 (P2(x8761,f2(x8761))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(877,plain,
% 3.33/3.55 (~P2(x8771,x8772)+~P2(x8773,x8774)+P4(x8771,x8773,x8775)+~P2(x8775,x8776)+~P4(x8772,x8774,x8776)),
% 3.33/3.55 inference(rename_variables,[],[41])).
% 3.33/3.55 cnf(878,plain,
% 3.33/3.55 (~P2(f18(a12,a12),f18(x8781,f6(x8781)))),
% 3.33/3.55 inference(scs_inference,[],[64,52,76,11,44,831,632,771,866,177,9,40,30,37,41,31])).
% 3.33/3.55 cnf(880,plain,
% 3.33/3.55 (~P2(f1(x8801),f18(f7(x8802),f7(x8802)))),
% 3.33/3.55 inference(scs_inference,[],[64,52,57,76,11,44,831,632,771,866,546,177,78,9,40,30,37,41,31,43])).
% 3.33/3.55 cnf(885,plain,
% 3.33/3.55 (~P5(x8851,f6(x8851),f18(a12,a12))),
% 3.33/3.55 inference(scs_inference,[],[64,52,57,76,11,44,840,831,632,771,866,546,177,78,9,40,30,37,41,31,43,24,39])).
% 3.33/3.55 cnf(887,plain,
% 3.33/3.55 (~P1(f17(f11(x8871,x8872),f11(x8871,x8872)))),
% 3.33/3.55 inference(scs_inference,[],[64,52,57,76,11,44,840,831,632,771,866,546,177,78,9,40,30,37,41,31,43,24,39,19])).
% 3.33/3.55 cnf(891,plain,
% 3.33/3.55 (P5(f2(a12),f2(a12),f18(a12,a12))),
% 3.33/3.55 inference(scs_inference,[],[10,64,52,57,76,876,11,44,840,831,632,771,866,571,546,177,78,9,40,30,37,41,31,43,24,39,19,877,42])).
% 3.33/3.55 cnf(909,plain,
% 3.33/3.55 (P2(x9091,f2(x9091))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(913,plain,
% 3.33/3.55 (~P4(f10(x9131,x9132),f10(x9131,x9132),f2(f2(a12)))),
% 3.33/3.55 inference(scs_inference,[],[78,76,909,44,825,873,891,179,177,39,19,30,37,41])).
% 3.33/3.55 cnf(914,plain,
% 3.33/3.55 (P2(f11(x9141,x9142),f10(x9141,x9142))),
% 3.33/3.55 inference(rename_variables,[],[177])).
% 3.33/3.55 cnf(915,plain,
% 3.33/3.55 (P2(x9151,f2(x9151))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(917,plain,
% 3.33/3.55 (~P5(f2(f2(a12)),f1(x9171),f1(x9171))),
% 3.33/3.55 inference(scs_inference,[],[78,76,909,44,825,873,891,444,179,298,177,39,19,30,37,41,42])).
% 3.33/3.55 cnf(920,plain,
% 3.33/3.55 (~P2(a12,f18(f7(x9201),f7(x9201)))),
% 3.33/3.55 inference(scs_inference,[],[78,76,909,44,880,825,873,891,444,179,298,177,39,19,30,37,41,42,31])).
% 3.33/3.55 cnf(921,plain,
% 3.33/3.55 (~P2(f1(x9211),f18(f7(x9212),f7(x9212)))),
% 3.33/3.55 inference(rename_variables,[],[880])).
% 3.33/3.55 cnf(923,plain,
% 3.33/3.55 (~P5(f2(a12),f2(a12),a12)),
% 3.33/3.55 inference(scs_inference,[],[78,76,909,915,44,880,825,873,891,444,179,298,177,39,19,30,37,41,42,31,43])).
% 3.33/3.55 cnf(927,plain,
% 3.33/3.55 (P3(f1(x9271),f2(f9(x9272,a12)))),
% 3.33/3.55 inference(scs_inference,[],[78,76,909,915,46,44,880,825,873,891,573,444,179,298,177,39,19,30,37,41,42,31,43,34])).
% 3.33/3.55 cnf(933,plain,
% 3.33/3.55 (P2(f11(x9331,x9332),f16(f17(x9331,x9332)))),
% 3.33/3.55 inference(scs_inference,[],[78,76,909,915,46,44,880,921,825,873,891,573,444,179,298,316,177,39,19,30,37,41,42,31,43,34,24,27])).
% 3.33/3.55 cnf(939,plain,
% 3.33/3.55 (~P1(f20(f11(x9391,x9392),f11(x9391,x9392)))),
% 3.33/3.55 inference(scs_inference,[],[18,78,76,909,915,46,44,887,880,921,825,873,891,573,771,444,179,298,84,316,177,914,39,19,30,37,41,42,31,43,34,24,27,40,22])).
% 3.33/3.55 cnf(942,plain,
% 3.33/3.55 (~P5(f7(x9421),f7(x9421),a12)),
% 3.33/3.55 inference(scs_inference,[],[920,39])).
% 3.33/3.55 cnf(944,plain,
% 3.33/3.55 (~P3(x9441,f20(a12,f1(a12)))),
% 3.33/3.55 inference(scs_inference,[],[920,614,431,39,30])).
% 3.33/3.55 cnf(947,plain,
% 3.33/3.55 (~P5(f2(a12),f2(a12),f1(x9471))),
% 3.33/3.55 inference(scs_inference,[],[76,920,674,614,431,5,39,30,42])).
% 3.33/3.55 cnf(949,plain,
% 3.33/3.55 (P2(x9491,f2(x9491))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(951,plain,
% 3.33/3.55 (P2(f1(x9511),f2(a12))),
% 3.33/3.55 inference(scs_inference,[],[76,949,78,920,674,614,431,5,39,30,42,31])).
% 3.33/3.55 cnf(956,plain,
% 3.33/3.55 (~P2(f1(x9561),f2(f10(x9562,x9562)))),
% 3.33/3.55 inference(scs_inference,[],[55,76,949,78,44,599,939,920,674,793,614,431,5,39,30,42,31,22,34])).
% 3.33/3.55 cnf(960,plain,
% 3.33/3.55 (P2(a12,f1(x9601))),
% 3.33/3.55 inference(scs_inference,[],[55,76,949,78,44,599,939,920,674,793,614,431,5,39,30,42,31,22,34,24])).
% 3.33/3.55 cnf(972,plain,
% 3.33/3.55 (P2(x9721,f2(x9721))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(974,plain,
% 3.33/3.55 (~P5(f1(x9741),f1(x9741),f2(a12))),
% 3.33/3.55 inference(scs_inference,[],[80,76,972,78,498,130,873,35,41,42])).
% 3.33/3.55 cnf(975,plain,
% 3.33/3.55 (P2(x9751,f2(x9751))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(977,plain,
% 3.33/3.55 (~P2(f17(f11(x9771,x9772),f11(x9771,x9772)),f1(x9773))),
% 3.33/3.55 inference(scs_inference,[],[80,76,972,78,498,863,130,873,35,41,42,31])).
% 3.33/3.55 cnf(979,plain,
% 3.33/3.55 (P1(f2(f8(x9791)))),
% 3.33/3.55 inference(scs_inference,[],[80,76,972,975,78,498,863,130,873,3,35,41,42,31,22])).
% 3.33/3.55 cnf(980,plain,
% 3.33/3.55 (P2(x9801,f2(x9801))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(983,plain,
% 3.33/3.55 (P2(x9831,f2(x9831))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(987,plain,
% 3.33/3.55 (~P3(x9871,f1(x9872))),
% 3.33/3.55 inference(rename_variables,[],[55])).
% 3.33/3.55 cnf(988,plain,
% 3.33/3.55 (P2(x9881,f2(x9881))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(992,plain,
% 3.33/3.55 (P2(f20(x9921,f2(x9922)),f17(x9921,x9922))),
% 3.33/3.55 inference(scs_inference,[],[64,80,55,76,972,975,980,983,78,97,956,498,863,130,873,3,35,41,42,31,22,43,34,24,38])).
% 3.33/3.55 cnf(1000,plain,
% 3.33/3.55 (P4(f2(f19(x10001,x10002)),a12,f4(x10001,x10002))),
% 3.33/3.55 inference(scs_inference,[],[12,64,80,55,76,972,975,980,983,988,78,97,515,956,944,947,498,863,130,939,873,3,35,41,42,31,22,43,34,24,38,36,28,20,40])).
% 3.33/3.55 cnf(1011,plain,
% 3.33/3.55 (~P3(f1(x10111),f16(f10(x10112,x10113)))),
% 3.33/3.55 inference(scs_inference,[],[12,64,80,55,987,46,76,972,975,980,983,988,78,410,97,515,956,126,944,947,498,863,130,939,722,873,3,35,41,42,31,22,43,34,24,38,36,28,20,40,23,33,32])).
% 3.33/3.55 cnf(1017,plain,
% 3.33/3.55 (~P3(f1(x10171),f9(x10172,f3(x10173,x10174)))),
% 3.33/3.55 inference(scs_inference,[],[60,76,44,117,395,23,32])).
% 3.33/3.55 cnf(1018,plain,
% 3.33/3.55 (P2(x10181,f2(x10181))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(1019,plain,
% 3.33/3.55 (P3(x10191,f2(f9(x10192,x10191)))),
% 3.33/3.55 inference(rename_variables,[],[60])).
% 3.33/3.55 cnf(1023,plain,
% 3.33/3.55 (P2(x10231,f2(x10231))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(1025,plain,
% 3.33/3.55 (~P2(f2(f1(x10251)),f3(x10252,x10253))),
% 3.33/3.55 inference(scs_inference,[],[60,76,1018,1023,78,44,117,175,395,159,23,32,41,31])).
% 3.33/3.55 cnf(1026,plain,
% 3.33/3.55 (P2(x10261,f2(x10261))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(1028,plain,
% 3.33/3.55 (P3(f2(f2(x10281)),f9(x10282,x10281))),
% 3.33/3.55 inference(scs_inference,[],[60,1019,76,1018,1023,1026,78,44,117,175,395,159,444,23,32,41,31,34])).
% 3.33/3.55 cnf(1032,plain,
% 3.33/3.55 (P2(f16(x10321),f9(x10322,x10321))),
% 3.33/3.55 inference(scs_inference,[],[60,1019,76,1018,1023,1026,80,78,44,117,175,395,159,444,23,32,41,31,34,24])).
% 3.33/3.55 cnf(1036,plain,
% 3.33/3.55 (~P5(f1(x10361),f1(x10361),f1(x10361))),
% 3.33/3.55 inference(rename_variables,[],[57])).
% 3.33/3.55 cnf(1043,plain,
% 3.33/3.55 (~P3(a12,f9(x10431,f10(x10432,x10433)))),
% 3.33/3.55 inference(scs_inference,[],[60,1019,13,57,1036,76,1018,1023,1026,80,78,44,117,1011,913,951,175,1000,467,960,395,159,444,23,32,41,31,34,24,42,43,40,33])).
% 3.33/3.55 cnf(1052,plain,
% 3.33/3.55 (P2(f5(x10521,x10522),f18(x10521,x10522))),
% 3.33/3.55 inference(rename_variables,[],[82])).
% 3.33/3.55 cnf(1057,plain,
% 3.33/3.55 (P2(x10571,f2(x10571))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(1059,plain,
% 3.33/3.55 (P1(f5(x10591,f6(x10591)))),
% 3.33/3.55 inference(scs_inference,[],[82,1052,15,76,80,979,737,462,159,179,19,37,40,23])).
% 3.33/3.55 cnf(1061,plain,
% 3.33/3.55 (P2(f5(x10611,x10612),f18(x10611,x10612))),
% 3.33/3.55 inference(rename_variables,[],[82])).
% 3.33/3.55 cnf(1063,plain,
% 3.33/3.55 (P2(f8(x10631),f2(f7(x10631)))),
% 3.33/3.55 inference(scs_inference,[],[82,1052,15,46,76,80,979,289,737,462,487,159,179,19,37,40,23,32])).
% 3.33/3.55 cnf(1065,plain,
% 3.33/3.55 (P3(x10651,f16(x10651))),
% 3.33/3.55 inference(rename_variables,[],[46])).
% 3.33/3.55 cnf(1070,plain,
% 3.33/3.55 (P2(x10701,f2(x10701))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(1072,plain,
% 3.33/3.55 (~P5(f2(a12),a12,a12)),
% 3.33/3.55 inference(scs_inference,[],[82,1052,1061,15,46,76,1057,1070,80,979,917,289,737,462,487,960,517,159,179,4,19,37,40,23,32,41,42])).
% 3.33/3.55 cnf(1074,plain,
% 3.33/3.55 (P2(x10741,f2(x10741))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(1077,plain,
% 3.33/3.55 (P2(f5(x10771,x10772),f18(x10771,x10772))),
% 3.33/3.55 inference(rename_variables,[],[82])).
% 3.33/3.55 cnf(1080,plain,
% 3.33/3.55 (P2(f5(x10801,x10802),f2(f18(x10801,x10802)))),
% 3.33/3.55 inference(scs_inference,[],[82,1052,1061,1077,15,46,76,1057,1070,1074,80,979,917,289,621,737,462,487,960,517,159,179,4,19,37,40,23,32,41,42,33,31])).
% 3.33/3.55 cnf(1091,plain,
% 3.33/3.55 (~P4(x10911,f9(x10911,x10912),f2(a12))),
% 3.33/3.55 inference(scs_inference,[],[82,1052,1061,1077,15,46,1065,76,1057,1070,1074,80,44,977,979,917,471,726,289,933,621,737,462,487,960,517,159,179,4,19,37,40,23,32,41,42,33,31,22,34,24,38])).
% 3.33/3.55 cnf(1098,plain,
% 3.33/3.55 (P2(x10981,f2(x10981))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(1106,plain,
% 3.33/3.55 (P2(f5(x11061,x11062),f18(x11061,x11062))),
% 3.33/3.55 inference(rename_variables,[],[82])).
% 3.33/3.55 cnf(1112,plain,
% 3.33/3.55 (P2(f18(x11121,x11122),f5(x11121,x11122))),
% 3.33/3.55 inference(scs_inference,[],[82,1106,55,76,1098,80,44,1063,1028,878,1091,652,293,599,159,37,41,33,31,34,24])).
% 3.33/3.55 cnf(1134,plain,
% 3.33/3.55 (P2(x11341,f2(x11341))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(1135,plain,
% 3.33/3.55 (P2(f20(x11351,x11352),f17(x11351,x11352))),
% 3.33/3.55 inference(rename_variables,[],[84])).
% 3.33/3.55 cnf(1142,plain,
% 3.33/3.55 (P2(x11421,f2(x11421))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(1146,plain,
% 3.33/3.55 (~P3(x11461,f1(x11462))),
% 3.33/3.55 inference(rename_variables,[],[55])).
% 3.33/3.55 cnf(1149,plain,
% 3.33/3.55 (P2(x11491,f2(x11491))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(1161,plain,
% 3.33/3.55 (~P1(f18(f8(x11611),f8(x11611)))),
% 3.33/3.55 inference(scs_inference,[],[14,84,1135,60,82,55,1146,46,76,1134,1142,1149,78,44,320,627,923,1072,427,213,179,30,40,37,42,33,31,22,34,24,36,19])).
% 3.33/3.55 cnf(1180,plain,
% 3.33/3.55 (P2(f20(x11801,x11802),f17(x11801,x11802))),
% 3.33/3.55 inference(rename_variables,[],[84])).
% 3.33/3.55 cnf(1183,plain,
% 3.33/3.55 (~P5(f7(x11831),f7(x11831),f8(x11831))),
% 3.33/3.55 inference(scs_inference,[],[14,84,82,44,1059,164,338,213,19,30,40,37])).
% 3.33/3.55 cnf(1189,plain,
% 3.33/3.55 (P2(f20(x11891,x11892),f17(x11891,x11892))),
% 3.33/3.55 inference(rename_variables,[],[84])).
% 3.33/3.55 cnf(1191,plain,
% 3.33/3.55 (~P3(a12,f16(f3(x11911,x11912)))),
% 3.33/3.55 inference(scs_inference,[],[14,84,1180,82,78,44,1017,1059,1032,852,164,162,338,960,213,19,30,40,37,23,42,33])).
% 3.33/3.55 cnf(1195,plain,
% 3.33/3.55 (P2(f20(x11951,x11952),f2(f17(x11951,x11952)))),
% 3.33/3.55 inference(scs_inference,[],[14,84,1180,1189,82,76,78,44,1017,1059,1032,852,164,162,338,960,213,19,30,40,37,23,42,33,31])).
% 3.33/3.55 cnf(1196,plain,
% 3.33/3.55 (P2(x11961,f2(x11961))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(1202,plain,
% 3.33/3.55 (P2(x12021,f2(x12021))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(1209,plain,
% 3.33/3.55 (P2(f2(f18(x12091,x12092)),f5(x12091,x12092))),
% 3.33/3.55 inference(scs_inference,[],[14,64,84,1180,1189,82,76,1196,1202,78,44,1080,1161,1017,1059,1032,852,164,944,162,338,960,213,19,30,40,37,23,42,33,31,22,43,34,24])).
% 3.33/3.55 cnf(1211,plain,
% 3.33/3.55 (~P3(x12111,f17(a12,f1(a12)))),
% 3.33/3.55 inference(scs_inference,[],[84,669,30])).
% 3.33/3.55 cnf(1212,plain,
% 3.33/3.55 (P2(f20(x12121,x12122),f17(x12121,x12122))),
% 3.33/3.55 inference(rename_variables,[],[84])).
% 3.33/3.55 cnf(1214,plain,
% 3.33/3.55 (~P5(a12,a12,f20(a12,f1(a12)))),
% 3.33/3.55 inference(scs_inference,[],[84,1212,44,669,614,30,37])).
% 3.33/3.55 cnf(1254,plain,
% 3.33/3.55 (~P2(f5(f7(x12541),f7(x12541)),f7(x12541))),
% 3.33/3.55 inference(scs_inference,[],[15,213,37])).
% 3.33/3.55 cnf(1255,plain,
% 3.33/3.55 (P5(x12551,x12552,f5(x12551,x12552))),
% 3.33/3.55 inference(rename_variables,[],[15])).
% 3.33/3.55 cnf(1268,plain,
% 3.33/3.55 (~P2(f16(x12681),f1(x12682))),
% 3.33/3.55 inference(scs_inference,[],[15,1255,86,84,82,80,76,447,398,1000,515,840,213,37,40,23,42,31])).
% 3.33/3.55 cnf(1278,plain,
% 3.33/3.55 (P2(f2(f17(x12781,x12782)),f20(x12781,x12782))),
% 3.33/3.55 inference(scs_inference,[],[15,1255,86,57,84,55,82,80,76,1195,447,398,927,1000,515,951,891,840,444,213,37,40,23,42,31,43,34,24])).
% 3.33/3.55 cnf(1289,plain,
% 3.33/3.55 (P2(f2(f7(x12891)),a12)),
% 3.33/3.55 inference(scs_inference,[],[293,19])).
% 3.33/3.55 cnf(1297,plain,
% 3.33/3.55 (P2(f20(x12971,x12972),f17(x12971,x12972))),
% 3.33/3.55 inference(rename_variables,[],[84])).
% 3.33/3.55 cnf(1299,plain,
% 3.33/3.55 (P2(f9(x12991,x12992),f2(f16(x12992)))),
% 3.33/3.55 inference(scs_inference,[],[52,84,76,80,130,293,5,19,40,41,31])).
% 3.33/3.55 cnf(1300,plain,
% 3.33/3.55 (P2(x13001,f2(x13001))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(1302,plain,
% 3.33/3.55 (~P2(a12,f17(f11(x13021,x13022),f11(x13021,x13022)))),
% 3.33/3.55 inference(scs_inference,[],[52,84,76,80,44,887,130,293,5,19,40,41,31,22])).
% 3.33/3.55 cnf(1306,plain,
% 3.33/3.55 (P2(x13061,f2(x13061))),
% 3.33/3.55 inference(rename_variables,[],[76])).
% 3.33/3.55 cnf(1307,plain,
% 3.33/3.55 (P2(f20(x13071,x13072),f17(x13071,x13072))),
% 3.33/3.55 inference(rename_variables,[],[84])).
% 3.33/3.55 cnf(1315,plain,
% 3.33/3.55 (~P2(f8(x13151),f18(f7(x13151),f7(x13151)))),
% 3.33/3.56 inference(scs_inference,[],[52,84,1297,1307,76,1300,1306,80,44,1183,1254,1214,887,278,130,293,5,19,40,41,31,22,43,34,24,36])).
% 3.33/3.56 cnf(1333,plain,
% 3.33/3.56 (P2(f20(x13331,x13332),f17(x13331,x13332))),
% 3.33/3.56 inference(rename_variables,[],[84])).
% 3.33/3.56 cnf(1338,plain,
% 3.33/3.56 (P4(f18(a12,x13381),f1(x13382),f17(f5(a12,x13381),a12))),
% 3.33/3.56 inference(scs_inference,[],[18,84,78,206,1112,410,960,1,4,40,37,41])).
% 3.33/3.56 cnf(1349,plain,
% 3.33/3.56 (~P1(f20(x13491,f9(x13491,x13492)))),
% 3.33/3.56 inference(scs_inference,[],[18,84,1333,82,76,78,206,1315,1112,1072,410,452,960,263,1,4,40,37,41,42,31,22])).
% 3.33/3.56 cnf(1353,plain,
% 3.33/3.56 (P2(f2(f16(x13531)),f9(x13532,x13531))),
% 3.33/3.56 inference(scs_inference,[],[18,84,1333,82,76,78,206,1315,1299,1112,1072,410,452,960,263,1,4,40,37,41,42,31,22,24])).
% 3.33/3.56 cnf(1372,plain,
% 3.33/3.56 (P2(f20(x13721,x13722),f17(x13721,x13722))),
% 3.33/3.56 inference(rename_variables,[],[84])).
% 3.33/3.56 cnf(1378,plain,
% 3.33/3.56 (P2(x13781,f2(x13781))),
% 3.33/3.56 inference(rename_variables,[],[76])).
% 3.33/3.56 cnf(1380,plain,
% 3.33/3.56 (~P2(a12,f6(f2(a12)))),
% 3.33/3.56 inference(scs_inference,[],[84,1372,82,76,1378,44,1278,1349,885,519,260,614,179,15,40,37,23,41,42])).
% 3.33/3.56 cnf(1407,plain,
% 3.33/3.56 (P2(x14071,f2(x14071))),
% 3.33/3.56 inference(rename_variables,[],[76])).
% 3.33/3.56 cnf(1416,plain,
% 3.33/3.56 (P2(x14161,f2(x14161))),
% 3.33/3.56 inference(rename_variables,[],[76])).
% 3.33/3.56 cnf(1423,plain,
% 3.33/3.56 (~P4(f18(x14231,x14232),f16(x14233),f2(a12))),
% 3.33/3.56 inference(scs_inference,[],[64,60,55,82,84,76,1407,1416,80,44,1289,1161,599,517,2,30,37,31,22,34,43,24,39,41])).
% 3.33/3.56 cnf(1433,plain,
% 3.33/3.56 (~P2(f2(a12),f17(f18(x14331,x14332),f16(x14333)))),
% 3.33/3.56 inference(scs_inference,[],[64,57,60,55,82,84,76,1407,1416,80,78,44,591,1191,1289,1161,599,258,517,2,30,37,31,22,34,43,24,39,41,33,42,35])).
% 3.33/3.56 cnf(1446,plain,
% 3.33/3.56 (P2(f9(x14461,x14462),f16(x14462))),
% 3.33/3.56 inference(rename_variables,[],[80])).
% 3.33/3.56 cnf(1465,plain,
% 3.33/3.56 (P2(f7(x14651),a12)),
% 3.33/3.56 inference(scs_inference,[],[18,102,84,82,76,80,1446,78,742,1211,974,1423,1433,942,1302,992,1043,891,182,338,213,179,37,42,31,34,24,36,38,28,20,30,40,19])).
% 3.33/3.56 cnf(1472,plain,
% 3.33/3.56 (P4(f2(f18(a12,x14721)),a12,f19(a12,x14721))),
% 3.33/3.56 inference(scs_inference,[],[102,46,76,78,1338,410,30,40])).
% 3.33/3.56 cnf(1495,plain,
% 3.33/3.56 (P2(x14951,f2(x14951))),
% 3.33/3.56 inference(rename_variables,[],[76])).
% 3.33/3.56 cnf(1497,plain,
% 3.33/3.56 (~P5(a12,f7(x14971),f7(x14971))),
% 3.33/3.56 inference(scs_inference,[],[76,1495,1465,1072,2,30,42])).
% 3.33/3.56 cnf(1554,plain,
% 3.33/3.56 (P2(x15541,f2(x15541))),
% 3.33/3.56 inference(rename_variables,[],[76])).
% 3.33/3.56 cnf(1560,plain,
% 3.33/3.56 (P2(x15601,f2(x15601))),
% 3.33/3.56 inference(rename_variables,[],[76])).
% 3.33/3.56 cnf(1562,plain,
% 3.33/3.56 (~P3(f2(a12),f9(x15621,f3(x15622,x15623)))),
% 3.33/3.56 inference(scs_inference,[],[102,76,1554,1560,1268,1472,1209,1191,1032,286,686,316,179,30,40,22,31,34])).
% 3.33/3.56 cnf(1568,plain,
% 3.33/3.56 (P2(f6(x15681),a12)),
% 3.33/3.56 inference(scs_inference,[],[102,76,1554,1560,1025,1268,1472,1209,1191,1032,286,686,316,179,2,30,40,22,31,34,24,19])).
% 3.33/3.56 cnf(1588,plain,
% 3.33/3.56 (P2(x15881,f2(x15881))),
% 3.33/3.56 inference(rename_variables,[],[76])).
% 3.33/3.56 cnf(1598,plain,
% 3.33/3.56 (P2(x15981,f2(x15981))),
% 3.33/3.56 inference(rename_variables,[],[76])).
% 3.33/3.56 cnf(1602,plain,
% 3.33/3.56 (P2(x16021,f2(x16021))),
% 3.33/3.56 inference(rename_variables,[],[76])).
% 3.33/3.56 cnf(1608,plain,
% 3.33/3.56 ($false),
% 3.33/3.56 inference(scs_inference,[],[102,76,1588,1598,1602,1562,1497,1568,1380,1353,164,1112,153,546,3,6,30,23,33,42,31,43,24]),
% 3.33/3.56 ['proof']).
% 3.33/3.56 % SZS output end Proof
% 3.33/3.56 % Total time :2.860000s
%------------------------------------------------------------------------------