TSTP Solution File: NUN055+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUN055+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n015.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 12:45:17 EDT 2023
% Result : Theorem 12.53s 12.65s
% Output : CNFRefutation 12.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN055+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.16/0.34 % Computer : n015.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Sun Aug 27 09:18:38 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.20/0.54 start to proof:theBenchmark
% 12.53/12.64 %-------------------------------------------
% 12.53/12.64 % File :CSE---1.6
% 12.53/12.64 % Problem :theBenchmark
% 12.53/12.64 % Transform :cnf
% 12.53/12.64 % Format :tptp:raw
% 12.53/12.64 % Command :java -jar mcs_scs.jar %d %s
% 12.53/12.64
% 12.53/12.64 % Result :Theorem 12.030000s
% 12.53/12.64 % Output :CNFRefutation 12.030000s
% 12.53/12.64 %-------------------------------------------
% 12.53/12.65 %------------------------------------------------------------------------------
% 12.53/12.65 % File : NUN055+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% 12.53/12.65 % Domain : Number Theory
% 12.53/12.65 % Problem : Robinson arithmetic: 0+2=2
% 12.53/12.65 % Version : Especial.
% 12.53/12.65 % English :
% 12.53/12.65
% 12.53/12.65 % Refs : [BBJ03] Boolos et al. (2003), Computability and Logic
% 12.53/12.65 % : [Smi07] Smith (2007), An Introduction to Goedel's Theorems
% 12.53/12.65 % : [Lam18] Lampert (2018), Email to Geoff Sutcliffe
% 12.53/12.65 % Source : [Lam18]
% 12.53/12.65 % Names : zeroplustwoidtwo [Lam18]
% 12.53/12.65
% 12.53/12.65 % Status : Theorem
% 12.53/12.65 % Rating : 0.53 v8.1.0, 0.64 v7.5.0, 0.71 v7.4.0, 0.75 v7.3.0
% 12.53/12.65 % Syntax : Number of formulae : 19 ( 1 unt; 0 def)
% 12.53/12.65 % Number of atoms : 84 ( 0 equ)
% 12.53/12.65 % Maximal formula atoms : 9 ( 4 avg)
% 12.53/12.65 % Number of connectives : 99 ( 34 ~; 26 |; 39 &)
% 12.53/12.65 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 12.53/12.65 % Maximal formula depth : 13 ( 8 avg)
% 12.53/12.65 % Maximal term depth : 1 ( 1 avg)
% 12.53/12.65 % Number of predicates : 5 ( 5 usr; 0 prp; 1-3 aty)
% 12.53/12.65 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 12.53/12.65 % Number of variables : 75 ( 47 !; 28 ?)
% 12.53/12.65 % SPC : FOF_THM_RFO_NEQ
% 12.53/12.65
% 12.53/12.65 % Comments : Translated to FOL without equality.
% 12.53/12.65 % Bugfixes : v7.3.0 - Complete rewrite.
% 12.53/12.65 %------------------------------------------------------------------------------
% 12.53/12.65 include('Axioms/NUM009+0.ax').
% 12.53/12.65 %------------------------------------------------------------------------------
% 12.53/12.65 fof(zeroplustwoidtwo,conjecture,
% 12.53/12.65 ? [Y1] :
% 12.53/12.65 ( ? [Y2] :
% 12.53/12.65 ( ? [Y4] :
% 12.53/12.65 ( r2(Y4,Y2)
% 12.53/12.65 & ? [Y6] :
% 12.53/12.65 ( r1(Y6)
% 12.53/12.65 & r2(Y6,Y4) ) )
% 12.53/12.65 & ? [Y7] :
% 12.53/12.65 ( r1(Y7)
% 12.53/12.65 & r3(Y7,Y2,Y1) ) )
% 12.53/12.65 & ? [Y3] :
% 12.53/12.65 ( id(Y1,Y3)
% 12.53/12.65 & ? [Y5] :
% 12.53/12.65 ( r2(Y5,Y3)
% 12.53/12.65 & ? [Y8] :
% 12.53/12.65 ( r1(Y8)
% 12.53/12.65 & r2(Y8,Y5) ) ) ) ) ).
% 12.53/12.65
% 12.53/12.65 %------------------------------------------------------------------------------
% 12.53/12.65 %-------------------------------------------
% 12.53/12.65 % Proof found
% 12.53/12.65 % SZS status Theorem for theBenchmark
% 12.53/12.65 % SZS output start Proof
% 12.53/12.65 %ClaNum:43(EqnAxiom:0)
% 12.53/12.65 %VarNum:217(SingletonVarNum:106)
% 12.53/12.65 %MaxLitNum:9
% 12.53/12.65 %MaxfuncDepth:1
% 12.53/12.65 %SharedTerms:1
% 12.53/12.65 %goalClause: 43
% 12.53/12.65 [4]P2(x41,x41)
% 12.53/12.65 [1]P1(f1(x11))
% 12.53/12.65 [2]P1(f6(x21))
% 12.53/12.65 [3]P1(f8(x31))
% 12.53/12.65 [5]P2(f2(x51),x51)
% 12.53/12.65 [6]P2(f7(x61),f8(x61))
% 12.53/12.65 [12]P4(x121,f1(x121),f2(x121))
% 12.53/12.65 [13]P5(x131,f6(x131),f7(x131))
% 12.53/12.65 [7]P3(x71,f9(x72,x71))
% 12.53/12.65 [8]P3(x81,f3(x82,x81))
% 12.53/12.65 [9]P2(f10(x91,x92),f11(x91,x92))
% 12.53/12.65 [10]P2(f4(x101,x102),f19(x101,x102))
% 12.53/12.65 [11]P3(f20(x111,x112),f11(x111,x112))
% 12.53/12.65 [14]P4(x141,x142,f20(x141,x142))
% 12.53/12.65 [15]P5(x151,x152,f5(x151,x152))
% 12.53/12.65 [16]P4(x161,f9(x161,x162),f10(x161,x162))
% 12.53/12.65 [17]P5(x171,f3(x171,x172),f4(x171,x172))
% 12.53/12.65 [18]P4(f5(x181,x182),x181,f19(x181,x182))
% 12.53/12.65 [19]~P1(x191)+P2(x191,a12)
% 12.53/12.65 [20]P1(x201)+~P2(x201,a12)
% 12.53/12.65 [21]P2(x211,f15(x211))+P1(f13(x211))
% 12.53/12.65 [25]P3(f14(x251),f15(x251))+P1(f13(x251))
% 12.53/12.65 [26]P2(x261,f15(x261))+P2(x261,f13(x261))
% 12.53/12.65 [29]P3(f14(x291),f15(x291))+P2(x291,f13(x291))
% 12.53/12.65 [24]~P2(x242,x241)+P2(x241,x242)
% 12.53/12.65 [27]~P3(x272,x271)+P2(x271,f16(x272))
% 12.53/12.65 [28]P3(x281,x282)+~P2(x282,f16(x281))
% 12.53/12.65 [35]P4(x351,x352,x353)+~P2(x353,f17(x351,x352))
% 12.53/12.65 [36]P5(x361,x362,x363)+~P2(x363,f18(x361,x362))
% 12.53/12.65 [37]~P4(x372,x373,x371)+P2(x371,f17(x372,x373))
% 12.53/12.65 [38]~P5(x382,x383,x381)+P2(x381,f18(x382,x383))
% 12.53/12.65 [22]~P2(x222,x221)+P1(x221)+~P1(x222)
% 12.53/12.65 [23]~P2(x231,x232)+P1(x231)+~P1(x232)
% 12.53/12.65 [30]~P1(x301)+~P2(x301,x302)+~P3(x303,x302)
% 12.53/12.65 [31]~P2(x311,x313)+P2(x311,x312)+~P2(x313,x312)
% 12.53/12.65 [32]~P3(x322,x324)+~P3(x321,x323)+P2(x321,x322)+~P2(x323,x324)
% 12.53/12.65 [33]~P3(x334,x333)+P3(x331,x332)+~P2(x333,x332)+~P2(x334,x331)
% 12.53/12.65 [34]~P3(x344,x343)+P3(x341,x342)+~P2(x342,x343)+~P2(x341,x344)
% 12.53/12.65 [39]~P4(x396,x395,x394)+P4(x391,x392,x393)+~P2(x394,x393)+~P2(x395,x392)+~P2(x396,x391)
% 12.53/12.65 [40]~P4(x406,x405,x404)+P4(x401,x402,x403)+~P2(x403,x404)+~P2(x402,x405)+~P2(x401,x406)
% 12.53/12.65 [41]~P5(x416,x415,x414)+P5(x411,x412,x413)+~P2(x414,x413)+~P2(x415,x412)+~P2(x416,x411)
% 12.53/12.65 [42]~P5(x426,x425,x424)+P5(x421,x422,x423)+~P2(x423,x424)+~P2(x422,x425)+~P2(x421,x426)
% 12.53/12.65 [43]~P3(x436,x435)+~P4(x432,x438,x434)+~P1(x431)+~P1(x432)+~P2(x434,x435)+~P1(x433)+~P3(x431,x436)+~P3(x433,x437)+~P3(x437,x438)
% 12.53/12.65 %EqnAxiom
% 12.53/12.65
% 12.53/12.65 %-------------------------------------------
% 12.53/12.67 cnf(44,plain,
% 12.53/12.67 (P1(a12)),
% 12.53/12.67 inference(scs_inference,[],[4,20])).
% 12.53/12.67 cnf(45,plain,
% 12.53/12.67 (P2(x451,x451)),
% 12.53/12.67 inference(rename_variables,[],[4])).
% 12.53/12.67 cnf(46,plain,
% 12.53/12.67 (P3(x461,f16(x461))),
% 12.53/12.67 inference(scs_inference,[],[4,45,20,28])).
% 12.53/12.67 cnf(47,plain,
% 12.53/12.67 (P2(x471,x471)),
% 12.53/12.67 inference(rename_variables,[],[4])).
% 12.53/12.67 cnf(49,plain,
% 12.53/12.67 (P5(x491,x492,f18(x491,x492))),
% 12.53/12.67 inference(scs_inference,[],[4,45,47,20,28,36])).
% 12.53/12.67 cnf(50,plain,
% 12.53/12.67 (P2(x501,x501)),
% 12.53/12.67 inference(rename_variables,[],[4])).
% 12.53/12.67 cnf(52,plain,
% 12.53/12.67 (P4(x521,x522,f17(x521,x522))),
% 12.53/12.67 inference(scs_inference,[],[4,45,47,50,20,28,36,35])).
% 12.53/12.67 cnf(53,plain,
% 12.53/12.67 (P2(x531,x531)),
% 12.53/12.67 inference(rename_variables,[],[4])).
% 12.53/12.67 cnf(55,plain,
% 12.53/12.67 (~P3(x551,f1(x552))),
% 12.53/12.67 inference(scs_inference,[],[1,4,45,47,50,53,20,28,36,35,30])).
% 12.53/12.67 cnf(57,plain,
% 12.53/12.67 (~P3(f1(x571),f2(f1(x571)))),
% 12.53/12.67 inference(scs_inference,[],[1,4,45,47,50,53,5,20,28,36,35,30,33])).
% 12.53/12.67 cnf(58,plain,
% 12.53/12.67 (P2(f2(x581),x581)),
% 12.53/12.67 inference(rename_variables,[],[5])).
% 12.53/12.67 cnf(59,plain,
% 12.53/12.67 (P2(x591,x591)),
% 12.53/12.67 inference(rename_variables,[],[4])).
% 12.53/12.67 cnf(61,plain,
% 12.53/12.67 (P5(x611,x611,f2(f5(x611,x611)))),
% 12.53/12.67 inference(scs_inference,[],[1,4,45,47,50,53,59,15,5,58,20,28,36,35,30,33,42])).
% 12.53/12.67 cnf(62,plain,
% 12.53/12.67 (P2(f2(x621),x621)),
% 12.53/12.67 inference(rename_variables,[],[5])).
% 12.53/12.67 cnf(64,plain,
% 12.53/12.67 (P2(x641,x641)),
% 12.53/12.67 inference(rename_variables,[],[4])).
% 12.53/12.67 cnf(65,plain,
% 12.53/12.67 (P5(x651,x652,f5(x651,x652))),
% 12.53/12.67 inference(rename_variables,[],[15])).
% 12.53/12.67 cnf(67,plain,
% 12.53/12.67 (P4(x671,x671,f2(f20(x671,x671)))),
% 12.53/12.67 inference(scs_inference,[],[1,4,45,47,50,53,59,64,14,15,5,58,62,20,28,36,35,30,33,42,40])).
% 12.53/12.67 cnf(68,plain,
% 12.53/12.67 (P2(f2(x681),x681)),
% 12.53/12.67 inference(rename_variables,[],[5])).
% 12.53/12.67 cnf(69,plain,
% 12.53/12.67 (P2(x691,x691)),
% 12.53/12.67 inference(rename_variables,[],[4])).
% 12.53/12.67 cnf(70,plain,
% 12.53/12.67 (P2(x701,x701)),
% 12.53/12.67 inference(rename_variables,[],[4])).
% 12.53/12.67 cnf(71,plain,
% 12.53/12.67 (P4(x711,x712,f20(x711,x712))),
% 12.53/12.67 inference(rename_variables,[],[14])).
% 12.53/12.67 cnf(73,plain,
% 12.53/12.67 (P2(x731,f2(x731))),
% 12.53/12.67 inference(scs_inference,[],[1,4,45,47,50,53,59,64,14,15,5,58,62,68,20,28,36,35,30,33,42,40,24])).
% 12.53/12.67 cnf(75,plain,
% 12.53/12.67 (P2(f1(x751),a12)),
% 12.53/12.67 inference(scs_inference,[],[1,4,45,47,50,53,59,64,14,15,5,58,62,68,20,28,36,35,30,33,42,40,24,19])).
% 12.53/12.67 cnf(77,plain,
% 12.53/12.67 (P2(f9(x771,x772),f16(x772))),
% 12.53/12.67 inference(scs_inference,[],[1,4,45,47,50,53,59,64,14,15,5,58,62,68,7,20,28,36,35,30,33,42,40,24,19,27])).
% 12.53/12.67 cnf(79,plain,
% 12.53/12.67 (P2(f5(x791,x792),f18(x791,x792))),
% 12.53/12.67 inference(scs_inference,[],[1,4,45,47,50,53,59,64,14,15,65,5,58,62,68,7,20,28,36,35,30,33,42,40,24,19,27,38])).
% 12.53/12.67 cnf(81,plain,
% 12.53/12.67 (P2(f20(x811,x812),f17(x811,x812))),
% 12.53/12.67 inference(scs_inference,[],[1,4,45,47,50,53,59,64,14,71,15,65,5,58,62,68,7,20,28,36,35,30,33,42,40,24,19,27,38,37])).
% 12.53/12.67 cnf(83,plain,
% 12.53/12.67 (~P2(f1(x831),f9(x832,f1(x831)))),
% 12.53/12.67 inference(scs_inference,[],[1,4,45,47,50,53,59,64,70,14,71,15,65,5,58,62,68,7,20,28,36,35,30,33,42,40,24,19,27,38,37,34])).
% 12.53/12.67 cnf(84,plain,
% 12.53/12.67 (P2(x841,x841)),
% 12.53/12.67 inference(rename_variables,[],[4])).
% 12.53/12.67 cnf(89,plain,
% 12.53/12.67 (P5(x891,x892,f5(x891,f2(x892)))),
% 12.53/12.67 inference(scs_inference,[],[1,4,45,47,50,53,59,64,70,84,69,14,71,15,65,5,58,62,68,7,6,20,28,36,35,30,33,42,40,24,19,27,38,37,34,32,41])).
% 12.53/12.67 cnf(90,plain,
% 12.53/12.67 (P2(x901,x901)),
% 12.53/12.67 inference(rename_variables,[],[4])).
% 12.53/12.67 cnf(92,plain,
% 12.53/12.67 (P2(x921,x921)),
% 12.53/12.67 inference(rename_variables,[],[4])).
% 12.53/12.67 cnf(94,plain,
% 12.53/12.67 (P4(x941,x942,f20(x941,f2(x942)))),
% 12.53/12.67 inference(scs_inference,[],[1,4,45,47,50,53,59,64,70,84,90,69,92,14,71,15,65,5,58,62,68,7,6,20,28,36,35,30,33,42,40,24,19,27,38,37,34,32,41,39])).
% 12.53/12.67 cnf(99,plain,
% 12.53/12.67 (P1(f2(f1(x991)))),
% 12.53/12.67 inference(scs_inference,[],[1,4,45,47,50,53,59,64,70,84,90,69,92,14,71,15,65,5,58,62,68,7,6,20,28,36,35,30,33,42,40,24,19,27,38,37,34,32,41,39,23])).
% 12.53/12.67 cnf(104,plain,
% 12.53/12.67 (P2(f4(x1041,x1042),f2(f19(x1041,x1042)))),
% 12.53/12.67 inference(scs_inference,[],[10,73,31])).
% 12.53/12.67 cnf(105,plain,
% 12.53/12.67 (P2(x1051,f2(x1051))),
% 12.53/12.67 inference(rename_variables,[],[73])).
% 12.53/12.67 cnf(107,plain,
% 12.53/12.67 (~P2(f1(x1071),f16(x1072))),
% 12.53/12.67 inference(scs_inference,[],[10,73,55,31,28])).
% 12.53/12.67 cnf(110,plain,
% 12.53/12.67 (P3(x1101,f3(x1102,x1101))),
% 12.53/12.67 inference(rename_variables,[],[8])).
% 12.53/12.67 cnf(113,plain,
% 12.53/12.67 (P4(f4(x1131,x1132),f4(x1131,x1132),f20(f19(x1131,x1132),f19(x1131,x1132)))),
% 12.53/12.67 inference(scs_inference,[],[8,10,4,14,73,55,31,28,33,40])).
% 12.53/12.67 cnf(115,plain,
% 12.53/12.67 (P2(x1151,x1151)),
% 12.53/12.67 inference(rename_variables,[],[4])).
% 12.53/12.67 cnf(117,plain,
% 12.53/12.67 (~P2(f9(x1171,f1(x1172)),f1(x1172))),
% 12.53/12.67 inference(scs_inference,[],[8,10,4,14,73,83,55,31,28,33,40,24])).
% 12.53/12.67 cnf(119,plain,
% 12.53/12.67 (~P1(f3(x1191,x1192))),
% 12.53/12.67 inference(scs_inference,[],[8,110,10,4,115,14,73,83,55,31,28,33,40,24,30])).
% 12.53/12.67 cnf(120,plain,
% 12.53/12.67 (P2(x1201,x1201)),
% 12.53/12.67 inference(rename_variables,[],[4])).
% 12.53/12.67 cnf(122,plain,
% 12.53/12.67 (~P2(f3(x1221,x1222),f1(x1223))),
% 12.53/12.67 inference(scs_inference,[],[1,8,110,10,4,115,14,73,83,55,31,28,33,40,24,30,23])).
% 12.53/12.67 cnf(126,plain,
% 12.53/12.67 (P2(x1261,x1261)),
% 12.53/12.67 inference(rename_variables,[],[4])).
% 12.53/12.67 cnf(128,plain,
% 12.53/12.67 (P5(x1281,f2(f6(x1281)),f8(x1281))),
% 12.53/12.67 inference(scs_inference,[],[1,8,110,13,10,4,115,120,126,14,15,6,73,105,83,55,31,28,33,40,24,30,23,42,41])).
% 12.53/12.67 cnf(129,plain,
% 12.53/12.67 (P2(x1291,x1291)),
% 12.53/12.67 inference(rename_variables,[],[4])).
% 12.53/12.67 cnf(131,plain,
% 12.53/12.67 (P2(x1311,f2(x1311))),
% 12.53/12.67 inference(rename_variables,[],[73])).
% 12.53/12.67 cnf(133,plain,
% 12.53/12.67 (P4(x1331,f2(f1(x1331)),x1331)),
% 12.53/12.67 inference(scs_inference,[],[1,8,110,12,13,10,4,115,120,126,129,14,15,5,6,73,105,131,83,55,31,28,33,40,24,30,23,42,41,39])).
% 12.53/12.67 cnf(138,plain,
% 12.53/12.67 (~P2(f1(x1381),f3(x1382,x1383))),
% 12.53/12.67 inference(scs_inference,[],[1,8,110,12,13,10,4,115,120,126,129,14,15,5,6,73,105,131,83,55,31,28,33,40,24,30,23,42,41,39,22])).
% 12.53/12.67 cnf(140,plain,
% 12.53/12.67 (~P2(f3(x1401,x1402),a12)),
% 12.53/12.67 inference(scs_inference,[],[1,8,110,12,13,10,4,115,120,126,129,14,15,5,6,73,105,131,83,55,31,28,33,40,24,30,23,42,41,39,22,20])).
% 12.53/12.67 cnf(144,plain,
% 12.53/12.67 (~P2(f9(x1441,f3(x1442,a12)),f3(x1442,a12))),
% 12.53/12.67 inference(scs_inference,[],[1,8,110,12,13,10,4,115,120,126,129,14,15,5,6,7,73,105,131,83,55,31,28,33,40,24,30,23,42,41,39,22,20,34,32])).
% 12.53/12.67 cnf(148,plain,
% 12.53/12.67 (P3(x1481,f2(f16(x1481)))),
% 12.53/12.67 inference(scs_inference,[],[5,28])).
% 12.53/12.67 cnf(149,plain,
% 12.53/12.67 (P2(f2(x1491),x1491)),
% 12.53/12.67 inference(rename_variables,[],[5])).
% 12.53/12.67 cnf(151,plain,
% 12.53/12.67 (P2(f2(f10(x1511,x1512)),f11(x1511,x1512))),
% 12.53/12.67 inference(scs_inference,[],[9,5,149,28,31])).
% 12.53/12.67 cnf(152,plain,
% 12.53/12.67 (P2(f2(x1521),x1521)),
% 12.53/12.67 inference(rename_variables,[],[5])).
% 12.53/12.67 cnf(154,plain,
% 12.53/12.67 (P1(f2(a12))),
% 12.53/12.67 inference(scs_inference,[],[9,5,149,152,28,31,20])).
% 12.53/12.67 cnf(155,plain,
% 12.53/12.67 (P2(f2(x1551),x1551)),
% 12.53/12.67 inference(rename_variables,[],[5])).
% 12.53/12.67 cnf(157,plain,
% 12.53/12.67 (~P1(f10(x1571,x1572))),
% 12.53/12.67 inference(scs_inference,[],[11,9,5,149,152,28,31,20,30])).
% 12.53/12.67 cnf(158,plain,
% 12.53/12.67 (P3(f20(x1581,x1582),f11(x1581,x1582))),
% 12.53/12.67 inference(rename_variables,[],[11])).
% 12.53/12.67 cnf(160,plain,
% 12.53/12.67 (P5(f1(x1601),f3(a12,x1602),f2(f4(a12,x1602)))),
% 12.53/12.67 inference(scs_inference,[],[17,11,9,4,5,149,152,155,75,28,31,20,30,42])).
% 12.53/12.67 cnf(162,plain,
% 12.53/12.67 (P2(x1621,x1621)),
% 12.53/12.67 inference(rename_variables,[],[4])).
% 12.53/12.67 cnf(163,plain,
% 12.53/12.67 (P2(f2(x1631),x1631)),
% 12.53/12.67 inference(rename_variables,[],[5])).
% 12.53/12.67 cnf(165,plain,
% 12.53/12.67 (P4(f1(x1651),f9(a12,x1652),f2(f10(a12,x1652)))),
% 12.53/12.67 inference(scs_inference,[],[16,17,11,9,4,162,5,149,152,155,163,75,28,31,20,30,42,40])).
% 12.53/12.67 cnf(166,plain,
% 12.53/12.67 (P4(x1661,f9(x1661,x1662),f10(x1661,x1662))),
% 12.53/12.67 inference(rename_variables,[],[16])).
% 12.53/12.67 cnf(167,plain,
% 12.53/12.67 (P2(x1671,x1671)),
% 12.53/12.67 inference(rename_variables,[],[4])).
% 12.53/12.67 cnf(168,plain,
% 12.53/12.67 (P2(f2(x1681),x1681)),
% 12.53/12.67 inference(rename_variables,[],[5])).
% 12.53/12.67 cnf(170,plain,
% 12.53/12.67 (P4(x1701,f16(x1702),f11(x1701,x1702))),
% 12.53/12.67 inference(scs_inference,[],[16,166,17,11,9,4,162,167,5,149,152,155,163,77,75,28,31,20,30,42,40,39])).
% 12.53/12.67 cnf(172,plain,
% 12.53/12.67 (P2(f11(x1721,x1722),f10(x1721,x1722))),
% 12.53/12.67 inference(scs_inference,[],[16,166,17,11,9,4,162,167,5,149,152,155,163,77,75,28,31,20,30,42,40,39,24])).
% 12.53/12.67 cnf(173,plain,
% 12.53/12.67 (P2(f10(x1731,x1732),f11(x1731,x1732))),
% 12.53/12.67 inference(rename_variables,[],[9])).
% 12.53/12.67 cnf(175,plain,
% 12.53/12.67 (~P1(f11(x1751,x1752))),
% 12.53/12.67 inference(scs_inference,[],[16,166,17,11,9,173,4,162,167,5,149,152,155,163,77,75,28,31,20,30,42,40,39,24,23])).
% 12.53/12.67 cnf(177,plain,
% 12.53/12.67 (P5(x1771,x1771,f5(f2(x1771),f2(x1771)))),
% 12.53/12.67 inference(scs_inference,[],[16,166,17,11,9,173,4,162,167,15,5,149,152,155,163,168,77,75,28,31,20,30,42,40,39,24,23,41])).
% 12.53/12.67 cnf(179,plain,
% 12.53/12.67 (P1(f2(f6(x1791)))),
% 12.53/12.68 inference(scs_inference,[],[2,16,166,17,11,9,173,4,162,167,15,5,149,152,155,163,168,77,75,73,28,31,20,30,42,40,39,24,23,41,22])).
% 12.53/12.68 cnf(183,plain,
% 12.53/12.68 (~P2(f1(x1831),f11(x1832,x1833))),
% 12.53/12.68 inference(scs_inference,[],[2,16,166,17,11,158,9,173,4,162,167,15,5,149,152,155,163,168,57,77,75,73,55,28,31,20,30,42,40,39,24,23,41,22,33,34])).
% 12.53/12.68 cnf(188,plain,
% 12.53/12.68 (~P1(f2(f3(x1881,x1882)))),
% 12.53/12.68 inference(scs_inference,[],[5,119,22])).
% 12.53/12.68 cnf(189,plain,
% 12.53/12.68 (P2(f2(x1891),x1891)),
% 12.53/12.68 inference(rename_variables,[],[5])).
% 12.53/12.68 cnf(191,plain,
% 12.53/12.68 (P3(f20(x1911,x1912),f10(x1911,x1912))),
% 12.53/12.68 inference(scs_inference,[],[11,4,5,172,119,22,33])).
% 12.53/12.68 cnf(192,plain,
% 12.53/12.68 (P3(f20(x1921,x1922),f11(x1921,x1922))),
% 12.53/12.68 inference(rename_variables,[],[11])).
% 12.53/12.68 cnf(193,plain,
% 12.63/12.68 (P2(x1931,x1931)),
% 12.63/12.68 inference(rename_variables,[],[4])).
% 12.63/12.68 cnf(195,plain,
% 12.63/12.68 (P4(f7(x1951),f7(x1951),f20(f8(x1951),f8(x1951)))),
% 12.63/12.68 inference(scs_inference,[],[11,14,6,4,193,5,172,119,22,33,40])).
% 12.63/12.68 cnf(197,plain,
% 12.63/12.68 (~P2(f11(x1971,x1972),f1(x1973))),
% 12.63/12.68 inference(scs_inference,[],[11,14,6,4,193,5,172,119,183,22,33,40,24])).
% 12.63/12.68 cnf(199,plain,
% 12.63/12.68 (~P1(f2(f10(x1991,x1992)))),
% 12.63/12.68 inference(scs_inference,[],[11,192,14,6,4,193,5,151,172,119,183,22,33,40,24,30])).
% 12.63/12.68 cnf(202,plain,
% 12.63/12.68 (~P2(f10(x2021,x2022),a12)),
% 12.63/12.68 inference(scs_inference,[],[11,192,14,6,4,193,5,151,172,119,157,183,22,33,40,24,30,20])).
% 12.63/12.68 cnf(204,plain,
% 12.63/12.68 (P1(f7(x2041))),
% 12.63/12.68 inference(scs_inference,[],[3,11,192,14,6,4,193,5,151,172,119,157,183,22,33,40,24,30,20,23])).
% 12.63/12.68 cnf(205,plain,
% 12.63/12.68 (P2(f7(x2051),f8(x2051))),
% 12.63/12.68 inference(rename_variables,[],[6])).
% 12.63/12.68 cnf(208,plain,
% 12.63/12.68 (P2(f2(x2081),x2081)),
% 12.63/12.68 inference(rename_variables,[],[5])).
% 12.63/12.68 cnf(212,plain,
% 12.63/12.68 (P4(f8(x2121),f8(x2121),f20(f7(x2121),f7(x2121)))),
% 12.63/12.68 inference(scs_inference,[],[3,11,192,14,6,205,4,193,5,189,208,67,151,172,119,122,157,183,22,33,40,24,30,20,23,31,41,39])).
% 12.63/12.68 cnf(213,plain,
% 12.63/12.68 (P2(f2(x2131),x2131)),
% 12.63/12.68 inference(rename_variables,[],[5])).
% 12.63/12.68 cnf(218,plain,
% 12.63/12.68 (P3(x2181,f9(x2182,x2181))),
% 12.63/12.68 inference(rename_variables,[],[7])).
% 12.63/12.68 cnf(220,plain,
% 12.63/12.68 (~P2(x2201,f3(a12,x2202))+P5(f2(f1(x2203)),x2201,f4(a12,x2202))),
% 12.63/12.68 inference(scs_inference,[],[2,3,11,192,14,8,6,205,4,193,5,189,208,213,7,67,151,172,119,122,157,183,160,73,22,33,40,24,30,20,23,31,41,39,43,42])).
% 12.63/12.68 cnf(222,plain,
% 12.63/12.68 (~P2(f1(x2221),f9(x2222,f8(x2223)))),
% 12.63/12.68 inference(scs_inference,[],[2,3,11,192,14,8,6,205,4,193,5,189,208,213,7,218,67,151,172,119,122,157,183,160,73,55,22,33,40,24,30,20,23,31,41,39,43,42,34])).
% 12.63/12.68 cnf(230,plain,
% 12.63/12.68 (P2(x2301,x2301)),
% 12.63/12.68 inference(rename_variables,[],[4])).
% 12.63/12.68 cnf(232,plain,
% 12.63/12.68 (~P2(f8(x2321),f11(x2322,x2323))),
% 12.63/12.68 inference(scs_inference,[],[3,4,175,220,22])).
% 12.63/12.68 cnf(234,plain,
% 12.63/12.68 (~P2(f8(x2341),f16(x2342))),
% 12.63/12.68 inference(scs_inference,[],[3,46,4,175,220,22,30])).
% 12.63/12.68 cnf(236,plain,
% 12.63/12.68 (P2(f19(x2361,x2362),f4(x2361,x2362))),
% 12.63/12.68 inference(scs_inference,[],[3,46,4,10,175,220,22,30,24])).
% 12.63/12.68 cnf(238,plain,
% 12.63/12.68 (~P2(f11(x2381,x2382),f8(x2383))),
% 12.63/12.68 inference(scs_inference,[],[3,46,4,10,175,220,22,30,24,23])).
% 12.63/12.68 cnf(240,plain,
% 12.63/12.68 (~P3(a12,a12)),
% 12.63/12.68 inference(scs_inference,[],[3,46,4,10,175,75,55,220,22,30,24,23,34])).
% 12.63/12.68 cnf(244,plain,
% 12.63/12.68 (P2(f7(x2441),f18(x2441,f6(x2441)))),
% 12.63/12.68 inference(scs_inference,[],[3,46,13,4,10,175,75,55,220,22,30,24,23,34,38])).
% 12.63/12.68 cnf(246,plain,
% 12.63/12.68 (P2(f8(x2461),a12)),
% 12.63/12.68 inference(scs_inference,[],[3,46,13,4,10,175,75,55,220,22,30,24,23,34,38,19])).
% 12.63/12.68 cnf(248,plain,
% 12.63/12.68 (P2(f11(x2481,x2482),f16(f20(x2481,x2482)))),
% 12.63/12.68 inference(scs_inference,[],[3,46,13,11,4,10,175,75,55,220,22,30,24,23,34,38,19,27])).
% 12.63/12.68 cnf(250,plain,
% 12.63/12.68 (P2(f19(x2501,x2502),f17(f5(x2501,x2502),x2501))),
% 12.63/12.68 inference(scs_inference,[],[3,46,18,13,11,4,10,175,75,55,220,22,30,24,23,34,38,19,27,37])).
% 12.63/12.68 cnf(252,plain,
% 12.63/12.68 (P5(x2521,x2522,f2(f18(x2521,x2522)))),
% 12.63/12.68 inference(scs_inference,[],[3,46,18,13,11,4,5,10,175,75,55,220,22,30,24,23,34,38,19,27,37,36])).
% 12.63/12.68 cnf(253,plain,
% 12.63/12.68 (P2(f2(x2531),x2531)),
% 12.63/12.68 inference(rename_variables,[],[5])).
% 12.63/12.68 cnf(255,plain,
% 12.63/12.68 (P4(x2551,x2552,f2(f17(x2551,x2552)))),
% 12.63/12.68 inference(scs_inference,[],[3,46,18,13,11,4,5,253,10,175,75,55,220,22,30,24,23,34,38,19,27,37,36,35])).
% 12.63/12.68 cnf(262,plain,
% 12.63/12.68 (~P2(f11(x2621,x2622),a12)),
% 12.63/12.68 inference(scs_inference,[],[3,46,18,13,11,4,5,253,9,10,175,75,55,220,22,30,24,23,34,38,19,27,37,36,35,28,33,20])).
% 12.63/12.68 cnf(264,plain,
% 12.63/12.68 (~P3(f1(x2641),f16(f3(x2642,x2643)))),
% 12.63/12.68 inference(scs_inference,[],[3,46,18,13,11,4,230,5,253,9,10,138,175,75,55,220,22,30,24,23,34,38,19,27,37,36,35,28,33,20,32])).
% 12.63/12.68 cnf(268,plain,
% 12.63/12.68 (~P3(x2681,f8(x2682))),
% 12.63/12.68 inference(scs_inference,[],[234,27])).
% 12.63/12.68 cnf(274,plain,
% 12.63/12.68 (P2(x2741,x2741)),
% 12.63/12.68 inference(rename_variables,[],[4])).
% 12.63/12.68 cnf(277,plain,
% 12.63/12.68 (~P2(f8(x2771),f3(x2772,x2773))),
% 12.63/12.68 inference(scs_inference,[],[3,46,8,4,248,197,234,240,27,31,33,30])).
% 12.63/12.68 cnf(279,plain,
% 12.63/12.68 (P3(f20(x2791,x2792),f2(f10(x2791,x2792)))),
% 12.63/12.68 inference(scs_inference,[],[3,46,8,11,4,274,248,197,234,240,151,27,31,33,30,34])).
% 12.63/12.68 cnf(289,plain,
% 12.63/12.68 (P2(f2(f1(x2891)),a12)),
% 12.63/12.68 inference(scs_inference,[],[99,19])).
% 12.63/12.68 cnf(291,plain,
% 12.63/12.68 (P2(f3(x2911,x2912),f16(x2912))),
% 12.63/12.68 inference(scs_inference,[],[8,99,19,27])).
% 12.63/12.68 cnf(293,plain,
% 12.63/12.68 (P3(x2931,f16(f2(x2931)))),
% 12.63/12.68 inference(scs_inference,[],[4,46,8,5,99,19,27,33])).
% 12.63/12.68 cnf(294,plain,
% 12.63/12.68 (P3(x2941,f16(x2941))),
% 12.63/12.68 inference(rename_variables,[],[46])).
% 12.63/12.68 cnf(295,plain,
% 12.63/12.68 (P2(x2951,x2951)),
% 12.63/12.68 inference(rename_variables,[],[4])).
% 12.63/12.68 cnf(297,plain,
% 12.63/12.68 (P2(f8(x2971),f7(x2971))),
% 12.63/12.68 inference(scs_inference,[],[4,46,8,5,6,99,19,27,33,24])).
% 12.63/12.68 cnf(299,plain,
% 12.63/12.68 (~P3(x2991,a12)),
% 12.63/12.68 inference(scs_inference,[],[4,295,44,46,8,5,6,99,19,27,33,24,30])).
% 12.63/12.68 cnf(300,plain,
% 12.63/12.68 (P2(x3001,x3001)),
% 12.63/12.68 inference(rename_variables,[],[4])).
% 12.63/12.68 cnf(305,plain,
% 12.63/12.68 (~P2(f11(x3051,x3052),f7(x3053))),
% 12.63/12.68 inference(scs_inference,[],[4,295,300,44,46,294,8,5,6,99,238,19,27,33,24,30,34,31])).
% 12.63/12.68 cnf(312,plain,
% 12.63/12.68 (P4(f11(x3121,x3122),f11(x3121,x3122),f20(f10(x3121,x3122),f10(x3121,x3122)))),
% 12.63/12.68 inference(scs_inference,[],[4,14,9,39])).
% 12.63/12.68 cnf(314,plain,
% 12.63/12.68 (P2(x3141,x3141)),
% 12.63/12.68 inference(rename_variables,[],[4])).
% 12.63/12.68 cnf(318,plain,
% 12.63/12.68 (P2(x3181,x3181)),
% 12.63/12.68 inference(rename_variables,[],[4])).
% 12.63/12.68 cnf(320,plain,
% 12.63/12.68 (P3(f11(x3201,x3202),f9(x3203,f10(x3201,x3202)))),
% 12.63/12.68 inference(scs_inference,[],[4,314,318,49,14,7,9,39,41,33])).
% 12.63/12.68 cnf(321,plain,
% 12.63/12.68 (P3(x3211,f9(x3212,x3211))),
% 12.63/12.68 inference(rename_variables,[],[7])).
% 12.63/12.68 cnf(322,plain,
% 12.63/12.68 (P2(x3221,x3221)),
% 12.63/12.68 inference(rename_variables,[],[4])).
% 12.63/12.68 cnf(324,plain,
% 12.63/12.68 (~P2(f9(x3241,f8(x3242)),f1(x3243))),
% 12.63/12.68 inference(scs_inference,[],[4,314,318,49,14,7,9,222,39,41,33,24])).
% 12.63/12.68 cnf(326,plain,
% 12.63/12.68 (P3(x3261,f2(f9(x3262,x3261)))),
% 12.63/12.68 inference(scs_inference,[],[4,314,318,322,49,14,7,321,9,5,222,39,41,33,24,34])).
% 12.63/12.68 cnf(327,plain,
% 12.63/12.68 (P3(x3271,f9(x3272,x3271))),
% 12.63/12.68 inference(rename_variables,[],[7])).
% 12.63/12.68 cnf(330,plain,
% 12.63/12.68 (~P1(f16(x3301))),
% 12.63/12.68 inference(scs_inference,[],[4,314,318,322,49,14,46,7,321,9,5,222,39,41,33,24,34,30])).
% 12.63/12.68 cnf(335,plain,
% 12.63/12.68 (~P2(f3(x3351,f10(x3352,x3353)),f16(a12))),
% 12.63/12.68 inference(scs_inference,[],[4,314,318,322,49,44,14,46,7,321,327,8,9,5,133,222,202,39,41,33,24,34,30,43,32])).
% 12.63/12.68 cnf(347,plain,
% 12.63/12.68 (P4(f2(x3471),f2(x3471),f20(x3471,x3471))),
% 12.63/12.68 inference(scs_inference,[],[5,52,81,40])).
% 12.63/12.68 cnf(349,plain,
% 12.63/12.68 (P4(x3491,x3492,f17(x3491,x3492))),
% 12.63/12.68 inference(rename_variables,[],[52])).
% 12.63/12.68 cnf(351,plain,
% 12.63/12.68 (~P2(a12,f2(f3(x3511,x3512)))),
% 12.63/12.68 inference(scs_inference,[],[5,52,44,81,188,40,22])).
% 12.63/12.68 cnf(353,plain,
% 12.63/12.68 (P2(f16(f2(x3531)),f16(x3531))),
% 12.63/12.68 inference(scs_inference,[],[5,52,44,81,293,188,40,22,27])).
% 12.63/12.68 cnf(355,plain,
% 12.63/12.68 (~P2(f7(x3551),f11(x3552,x3553))),
% 12.63/12.68 inference(scs_inference,[],[5,52,44,81,293,297,188,232,40,22,27,31])).
% 12.63/12.68 cnf(358,plain,
% 12.63/12.68 (P5(x3581,f2(x3582),f18(f2(x3581),x3582))),
% 12.63/12.68 inference(scs_inference,[],[5,52,49,44,81,293,297,188,232,73,4,40,22,27,31,41])).
% 12.63/12.68 cnf(359,plain,
% 12.63/12.68 (P2(x3591,f2(x3591))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(360,plain,
% 12.63/12.68 (P5(x3601,x3602,f18(x3601,x3602))),
% 12.63/12.68 inference(rename_variables,[],[49])).
% 12.63/12.68 cnf(361,plain,
% 12.63/12.68 (P2(x3611,x3611)),
% 12.63/12.68 inference(rename_variables,[],[4])).
% 12.63/12.68 cnf(368,plain,
% 12.63/12.68 (P1(f2(f7(x3681)))),
% 12.63/12.68 inference(scs_inference,[],[5,52,349,49,44,81,293,297,188,204,232,73,359,4,361,40,22,27,31,41,39,23])).
% 12.63/12.68 cnf(369,plain,
% 12.63/12.68 (P2(f2(x3691),x3691)),
% 12.63/12.68 inference(rename_variables,[],[5])).
% 12.63/12.68 cnf(371,plain,
% 12.63/12.68 (~P3(f7(x3711),f7(x3711))),
% 12.63/12.68 inference(scs_inference,[],[5,52,349,49,44,6,81,293,297,188,204,232,268,73,359,4,361,40,22,27,31,41,39,23,33])).
% 12.63/12.68 cnf(375,plain,
% 12.63/12.68 (~P1(f2(f9(x3751,x3752)))),
% 12.63/12.68 inference(scs_inference,[],[5,369,52,349,49,7,44,6,81,293,297,188,204,232,268,73,359,4,361,40,22,27,31,41,39,23,33,30])).
% 12.63/12.68 cnf(376,plain,
% 12.63/12.68 (P2(f2(x3761),x3761)),
% 12.63/12.68 inference(rename_variables,[],[5])).
% 12.63/12.68 cnf(378,plain,
% 12.63/12.68 (P2(f18(x3781,f6(x3781)),f7(x3781))),
% 12.63/12.68 inference(scs_inference,[],[5,369,52,349,49,7,44,6,244,81,293,297,188,204,232,268,73,359,4,361,40,22,27,31,41,39,23,33,30,24])).
% 12.63/12.68 cnf(380,plain,
% 12.63/12.68 (P2(f4(x3801,x3802),f18(x3801,f3(x3801,x3802)))),
% 12.63/12.68 inference(scs_inference,[],[5,369,52,349,49,17,7,44,6,244,81,293,297,188,204,232,268,73,359,4,361,40,22,27,31,41,39,23,33,30,24,38])).
% 12.63/12.68 cnf(382,plain,
% 12.63/12.68 (P2(f10(x3821,x3822),f17(x3821,f9(x3821,x3822)))),
% 12.63/12.68 inference(scs_inference,[],[5,369,52,349,49,16,17,7,44,6,244,81,293,297,188,204,232,268,73,359,4,361,40,22,27,31,41,39,23,33,30,24,38,37])).
% 12.63/12.68 cnf(384,plain,
% 12.63/12.68 (P5(f2(x3841),f2(x3841),f5(x3841,x3841))),
% 12.63/12.68 inference(scs_inference,[],[5,369,376,52,349,49,360,16,17,7,44,6,244,79,81,293,297,188,204,232,268,73,359,4,361,40,22,27,31,41,39,23,33,30,24,38,37,42])).
% 12.63/12.68 cnf(385,plain,
% 12.63/12.68 (P2(f2(x3851),x3851)),
% 12.63/12.68 inference(rename_variables,[],[5])).
% 12.63/12.68 cnf(386,plain,
% 12.63/12.68 (P2(f2(x3861),x3861)),
% 12.63/12.68 inference(rename_variables,[],[5])).
% 12.63/12.68 cnf(393,plain,
% 12.63/12.68 (P2(f2(x3931),x3931)),
% 12.63/12.68 inference(rename_variables,[],[5])).
% 12.63/12.68 cnf(395,plain,
% 12.63/12.68 (P3(f2(x3951),f2(f9(x3952,x3951)))),
% 12.63/12.68 inference(scs_inference,[],[5,369,376,386,393,385,52,349,49,360,16,17,7,11,44,6,244,79,81,293,297,188,204,232,268,73,359,4,361,40,22,27,31,41,39,23,33,30,24,38,37,42,20,32,34])).
% 12.63/12.68 cnf(399,plain,
% 12.63/12.68 (~P2(f7(x3991),f16(f7(x3991)))),
% 12.63/12.68 inference(scs_inference,[],[5,369,376,386,393,385,52,349,49,360,16,17,7,11,44,6,244,79,81,293,297,188,204,232,268,73,359,4,361,40,22,27,31,41,39,23,33,30,24,38,37,42,20,32,34,28])).
% 12.63/12.68 cnf(401,plain,
% 12.63/12.68 (~P1(f2(f16(x4011)))),
% 12.63/12.68 inference(scs_inference,[],[5,330,22])).
% 12.63/12.68 cnf(402,plain,
% 12.63/12.68 (P2(f2(x4021),x4021)),
% 12.63/12.68 inference(rename_variables,[],[5])).
% 12.63/12.68 cnf(404,plain,
% 12.63/12.68 (P4(f2(x4041),f9(x4041,x4042),f11(x4041,x4042))),
% 12.63/12.68 inference(scs_inference,[],[5,402,16,330,172,4,22,40])).
% 12.63/12.68 cnf(406,plain,
% 12.63/12.68 (P2(f2(x4061),x4061)),
% 12.63/12.68 inference(rename_variables,[],[5])).
% 12.63/12.68 cnf(407,plain,
% 12.63/12.68 (P2(x4071,x4071)),
% 12.63/12.68 inference(rename_variables,[],[4])).
% 12.63/12.68 cnf(409,plain,
% 12.63/12.68 (P4(f19(x4091,x4092),a12,f4(x4091,x4092))),
% 12.63/12.68 inference(scs_inference,[],[5,402,406,12,16,10,330,172,75,4,22,40,39])).
% 12.63/12.68 cnf(411,plain,
% 12.63/12.68 (P2(f2(x4111),x4111)),
% 12.63/12.68 inference(rename_variables,[],[5])).
% 12.63/12.68 cnf(414,plain,
% 12.63/12.68 (~P3(a12,f3(x4141,f10(x4142,x4143)))),
% 12.63/12.68 inference(scs_inference,[],[5,402,406,12,16,10,330,335,172,75,4,22,40,39,27])).
% 12.63/12.68 cnf(416,plain,
% 12.63/12.68 (P2(f2(f4(x4161,x4162)),f19(x4161,x4162))),
% 12.63/12.68 inference(scs_inference,[],[5,402,406,411,12,16,10,330,335,172,75,4,22,40,39,27,31])).
% 12.63/12.68 cnf(417,plain,
% 12.63/12.68 (P2(f2(x4171),x4171)),
% 12.63/12.68 inference(rename_variables,[],[5])).
% 12.63/12.68 cnf(419,plain,
% 12.63/12.68 (P5(f2(x4191),f3(x4191,x4192),f4(x4191,x4192))),
% 12.63/12.68 inference(scs_inference,[],[5,402,406,411,417,12,49,16,10,380,330,335,172,75,4,407,22,40,39,27,31,42])).
% 12.63/12.68 cnf(420,plain,
% 12.63/12.68 (P2(f2(x4201),x4201)),
% 12.63/12.68 inference(rename_variables,[],[5])).
% 12.63/12.68 cnf(426,plain,
% 12.63/12.68 (P1(f18(x4261,f6(x4261)))),
% 12.63/12.68 inference(scs_inference,[],[5,402,406,411,417,420,12,49,16,17,10,378,380,330,335,291,204,172,75,4,407,22,40,39,27,31,42,41,23])).
% 12.63/12.68 cnf(429,plain,
% 12.63/12.68 (~P2(f3(x4291,f2(x4292)),f8(x4293))),
% 12.63/12.68 inference(scs_inference,[],[5,402,406,411,417,420,12,49,16,17,8,10,378,380,330,335,291,204,268,172,75,4,407,22,40,39,27,31,42,41,23,33])).
% 12.63/12.68 cnf(433,plain,
% 12.63/12.68 (~P3(f3(x4331,x4332),f16(f8(x4333)))),
% 12.63/12.68 inference(scs_inference,[],[5,402,406,411,417,420,12,49,16,17,8,10,378,380,148,277,330,335,291,204,268,172,75,4,407,22,40,39,27,31,42,41,23,33,32])).
% 12.63/12.68 cnf(434,plain,
% 12.63/12.68 (P2(f2(x4341),x4341)),
% 12.63/12.68 inference(rename_variables,[],[5])).
% 12.63/12.68 cnf(440,plain,
% 12.63/12.68 (P2(f2(x4401),x4401)),
% 12.63/12.68 inference(rename_variables,[],[5])).
% 12.63/12.68 cnf(442,plain,
% 12.63/12.68 (P3(f2(f20(x4421,x4422)),f10(x4421,x4422))),
% 12.63/12.68 inference(scs_inference,[],[5,402,406,411,417,420,434,440,12,49,16,17,8,11,10,9,378,380,148,399,179,277,330,335,291,204,268,172,75,4,407,22,40,39,27,31,42,41,23,33,32,24,30,34])).
% 12.63/12.68 cnf(446,plain,
% 12.63/12.68 (P2(f18(x4461,f6(x4461)),a12)),
% 12.63/12.68 inference(scs_inference,[],[426,19])).
% 12.63/12.68 cnf(448,plain,
% 12.63/12.68 (~P1(f9(x4481,x4482))),
% 12.63/12.68 inference(scs_inference,[],[426,330,77,19,22])).
% 12.63/12.68 cnf(451,plain,
% 12.63/12.68 (P5(f7(x4511),f7(x4511),f5(f8(x4511),f8(x4511)))),
% 12.63/12.68 inference(scs_inference,[],[6,15,426,330,77,4,19,22,42])).
% 12.63/12.68 cnf(455,plain,
% 12.63/12.68 (P2(f2(f9(x4551,x4552)),f16(x4552))),
% 12.63/12.68 inference(scs_inference,[],[6,15,426,326,330,77,4,19,22,42,27])).
% 12.63/12.68 cnf(457,plain,
% 12.63/12.68 (~P2(f3(x4571,f2(x4572)),f7(x4573))),
% 12.63/12.68 inference(scs_inference,[],[6,15,426,326,429,330,77,4,19,22,42,27,31])).
% 12.63/12.68 cnf(458,plain,
% 12.63/12.68 (P2(f7(x4581),f8(x4581))),
% 12.63/12.68 inference(rename_variables,[],[6])).
% 12.63/12.68 cnf(462,plain,
% 12.63/12.68 (P2(f2(f2(x4621)),x4621)),
% 12.63/12.68 inference(scs_inference,[],[6,15,44,46,353,426,326,199,429,293,330,77,4,19,22,42,27,31,23,32])).
% 12.63/12.68 cnf(466,plain,
% 12.63/12.68 (P3(f8(x4661),f16(f7(x4661)))),
% 12.63/12.68 inference(scs_inference,[],[6,458,15,44,8,46,353,426,326,199,429,293,330,77,291,4,19,22,42,27,31,23,32,33])).
% 12.63/12.68 cnf(467,plain,
% 12.63/12.68 (P3(x4671,f3(x4672,x4671))),
% 12.63/12.68 inference(rename_variables,[],[8])).
% 12.63/12.68 cnf(470,plain,
% 12.63/12.68 (P2(f17(f5(x4701,x4702),x4701),f19(x4701,x4702))),
% 12.63/12.68 inference(scs_inference,[],[6,458,15,44,8,46,250,353,426,326,199,429,293,330,77,291,4,19,22,42,27,31,23,32,33,24])).
% 12.63/12.68 cnf(472,plain,
% 12.63/12.68 (~P2(a12,f3(x4721,x4722))),
% 12.63/12.68 inference(scs_inference,[],[6,458,15,44,8,467,46,250,353,426,326,199,429,293,330,77,291,4,19,22,42,27,31,23,32,33,24,30])).
% 12.63/12.68 cnf(474,plain,
% 12.63/12.68 (~P2(f7(x4741),f3(x4742,f8(x4741)))),
% 12.63/12.68 inference(scs_inference,[],[6,458,15,44,8,467,46,250,353,371,426,326,199,429,293,330,77,291,4,19,22,42,27,31,23,32,33,24,30,34])).
% 12.63/12.68 cnf(478,plain,
% 12.63/12.68 (~P4(f8(x4781),f8(x4781),f8(x4781))+P4(f7(x4781),f7(x4781),f7(x4781))),
% 12.63/12.68 inference(scs_inference,[],[6,458,15,44,8,467,46,250,353,371,426,326,199,429,293,330,77,291,4,19,22,42,27,31,23,32,33,24,30,34,40])).
% 12.63/12.68 cnf(480,plain,
% 12.63/12.68 (P1(f2(f2(a12)))),
% 12.63/12.68 inference(scs_inference,[],[6,458,15,44,8,467,46,250,353,371,426,326,199,429,293,330,77,291,4,19,22,42,27,31,23,32,33,24,30,34,40,20])).
% 12.63/12.68 cnf(492,plain,
% 12.63/12.68 (~P2(f16(f20(x4921,x4922)),f7(x4923))),
% 12.63/12.68 inference(scs_inference,[],[44,305,375,248,22,20,31])).
% 12.63/12.68 cnf(495,plain,
% 12.63/12.68 (P3(f17(x4951,x4952),f16(f20(x4951,x4952)))),
% 12.63/12.68 inference(scs_inference,[],[11,44,305,375,81,248,22,20,31,33])).
% 12.63/12.68 cnf(501,plain,
% 12.63/12.68 (~P2(f3(x5011,f8(x5012)),f7(x5012))),
% 12.63/12.68 inference(scs_inference,[],[7,11,44,474,305,375,81,248,22,20,31,33,30,24])).
% 12.63/12.68 cnf(503,plain,
% 12.63/12.68 (~P1(f19(x5031,x5032))+P1(f4(x5031,x5032))),
% 12.63/12.68 inference(scs_inference,[],[7,11,44,10,474,305,375,81,248,22,20,31,33,30,24,23])).
% 12.63/12.68 cnf(509,plain,
% 12.63/12.68 (~P3(f3(x5091,a12),f11(a12,f3(x5091,a12)))),
% 12.63/12.68 inference(scs_inference,[],[7,16,8,9,44,43])).
% 12.63/12.68 cnf(515,plain,
% 12.63/12.68 (P2(f17(f5(x5151,x5152),x5151),f4(x5151,x5152))),
% 12.63/12.68 inference(scs_inference,[],[7,16,8,9,44,470,236,43,31])).
% 12.63/12.68 cnf(520,plain,
% 12.63/12.68 (P2(f2(f19(x5201,x5202)),f4(x5201,x5202))),
% 12.63/12.68 inference(scs_inference,[],[7,16,8,9,44,470,104,236,401,43,31,23,24])).
% 12.63/12.68 cnf(522,plain,
% 12.63/12.68 (~P3(x5221,f2(a12))),
% 12.63/12.68 inference(scs_inference,[],[7,16,8,9,44,470,104,236,401,73,43,31,23,24,30])).
% 12.63/12.68 cnf(525,plain,
% 12.63/12.68 (P2(f2(f5(x5251,x5251)),f18(x5251,x5251))),
% 12.63/12.68 inference(scs_inference,[],[7,16,8,9,44,61,470,104,236,401,73,43,31,23,24,30,38])).
% 12.63/12.68 cnf(527,plain,
% 12.63/12.68 (P2(f2(x5271),f17(x5271,f1(x5271)))),
% 12.63/12.68 inference(scs_inference,[],[7,12,16,8,9,44,61,470,104,236,401,73,43,31,23,24,30,38,37])).
% 12.63/12.68 cnf(535,plain,
% 12.63/12.68 (P1(f17(a12,f1(a12)))),
% 12.63/12.68 inference(scs_inference,[],[527,154,22])).
% 12.63/12.68 cnf(538,plain,
% 12.63/12.68 (~P2(f7(x5381),f10(x5382,x5383))),
% 12.63/12.68 inference(scs_inference,[],[9,527,355,154,22,31])).
% 12.63/12.68 cnf(541,plain,
% 12.63/12.68 (P3(f19(x5411,x5412),f9(x5413,f4(x5411,x5412)))),
% 12.63/12.68 inference(scs_inference,[],[7,10,9,527,355,154,4,22,31,33])).
% 12.63/12.68 cnf(547,plain,
% 12.63/12.68 (~P3(x5471,f7(x5472))),
% 12.63/12.68 inference(scs_inference,[],[7,10,9,527,355,457,154,378,426,4,22,31,33,24,30])).
% 12.63/12.68 cnf(560,plain,
% 12.63/12.68 (P4(f10(x5601,x5602),f10(x5601,x5602),f17(f11(x5601,x5602),f11(x5601,x5602)))),
% 12.63/12.68 inference(scs_inference,[],[9,255,73,40])).
% 12.63/12.68 cnf(561,plain,
% 12.63/12.68 (P2(x5611,f2(x5611))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(565,plain,
% 12.63/12.68 (P2(x5651,f2(x5651))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(566,plain,
% 12.63/12.68 (P5(x5661,x5661,f2(f5(x5661,x5661)))),
% 12.63/12.68 inference(rename_variables,[],[61])).
% 12.63/12.68 cnf(579,plain,
% 12.63/12.68 (~P2(f16(f8(x5791)),f7(x5791))),
% 12.63/12.68 inference(scs_inference,[],[61,566,52,9,10,255,501,525,448,291,73,561,565,4,40,42,39,20,41,31])).
% 12.63/12.68 cnf(585,plain,
% 12.63/12.68 (P3(x5851,f3(x5852,x5851))),
% 12.63/12.68 inference(rename_variables,[],[8])).
% 12.63/12.68 cnf(587,plain,
% 12.63/12.68 (~P1(f17(x5871,f9(x5871,x5872)))),
% 12.63/12.68 inference(scs_inference,[],[8,61,566,52,9,10,255,501,525,448,382,320,262,157,291,73,561,565,4,40,42,39,20,41,31,32,23])).
% 12.63/12.68 cnf(590,plain,
% 12.63/12.68 (P2(f4(x5901,x5902),f17(f5(x5901,x5902),x5901))),
% 12.63/12.68 inference(scs_inference,[],[8,61,566,52,9,10,515,255,501,525,448,382,320,262,157,291,73,561,565,4,40,42,39,20,41,31,32,23,24])).
% 12.63/12.68 cnf(592,plain,
% 12.63/12.68 (P4(f5(x5921,x5922),x5921,f4(x5921,x5922))),
% 12.63/12.68 inference(scs_inference,[],[8,61,566,52,9,10,515,255,501,525,448,382,320,262,157,291,73,561,565,4,40,42,39,20,41,31,32,23,24,35])).
% 12.63/12.68 cnf(599,plain,
% 12.63/12.68 (P2(f2(f7(x5991)),a12)),
% 12.63/12.68 inference(scs_inference,[],[8,585,61,566,52,46,11,9,10,44,515,255,501,368,525,448,382,320,262,157,291,73,561,565,4,40,42,39,20,41,31,32,23,24,35,43,19])).
% 12.63/12.68 cnf(613,plain,
% 12.63/12.68 (~P2(a12,f17(x6131,f9(x6131,x6132)))),
% 12.63/12.68 inference(scs_inference,[],[44,587,22])).
% 12.63/12.68 cnf(615,plain,
% 12.63/12.68 (P2(f10(x6151,x6152),f16(f20(x6151,x6152)))),
% 12.63/12.68 inference(scs_inference,[],[44,587,191,22,27])).
% 12.63/12.68 cnf(617,plain,
% 12.63/12.68 (P2(f2(f7(x6171)),f2(a12))),
% 12.63/12.68 inference(scs_inference,[],[44,587,599,191,73,22,27,31])).
% 12.63/12.68 cnf(627,plain,
% 12.63/12.68 (~P4(x6271,f9(x6271,x6272),a12)),
% 12.63/12.68 inference(scs_inference,[],[10,44,579,587,547,599,244,191,73,22,27,31,23,34,24,37])).
% 12.63/12.68 cnf(629,plain,
% 12.63/12.68 (~P2(a12,f17(f19(x6291,x6292),f16(x6293)))),
% 12.63/12.68 inference(scs_inference,[],[52,10,44,579,587,547,599,244,191,77,73,22,27,31,23,34,24,37,40])).
% 12.63/12.68 cnf(639,plain,
% 12.63/12.68 (P2(f2(f20(x6391,x6391)),f17(x6391,x6391))),
% 12.63/12.68 inference(scs_inference,[],[67,37])).
% 12.63/12.68 cnf(641,plain,
% 12.63/12.68 (~P4(f11(x6411,x6412),f16(x6413),f2(a12))),
% 12.63/12.68 inference(scs_inference,[],[9,67,627,77,73,37,40])).
% 12.63/12.68 cnf(644,plain,
% 12.63/12.68 (P2(x6441,f2(x6441))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(646,plain,
% 12.63/12.68 (~P4(f10(x6461,x6462),f10(x6463,x6464),f2(f7(x6465)))),
% 12.63/12.68 inference(scs_inference,[],[9,67,615,617,627,77,73,37,40,39])).
% 12.63/12.68 cnf(648,plain,
% 12.63/12.68 (~P3(a12,f10(x6481,f9(x6481,x6482)))),
% 12.63/12.68 inference(scs_inference,[],[9,67,615,617,627,613,495,77,73,37,40,39,32])).
% 12.63/12.68 cnf(653,plain,
% 12.63/12.68 (~P2(f1(x6531),f10(x6532,x6533))),
% 12.63/12.68 inference(scs_inference,[],[9,67,615,617,627,613,495,183,77,73,37,40,39,32,31])).
% 12.63/12.68 cnf(654,plain,
% 12.63/12.68 (P2(f10(x6541,x6542),f11(x6541,x6542))),
% 12.63/12.68 inference(rename_variables,[],[9])).
% 12.63/12.68 cnf(657,plain,
% 12.63/12.68 (P2(x6571,f2(x6571))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(658,plain,
% 12.63/12.68 (P2(f10(x6581,x6582),f11(x6581,x6582))),
% 12.63/12.68 inference(rename_variables,[],[9])).
% 12.63/12.68 cnf(664,plain,
% 12.63/12.68 (~P2(f2(a12),f16(x6641))),
% 12.63/12.68 inference(scs_inference,[],[9,654,67,177,615,492,522,617,627,613,495,183,77,73,644,37,40,39,32,31,34,24,38,28])).
% 12.63/12.68 cnf(668,plain,
% 12.63/12.68 (P5(f10(x6681,x6682),x6683,f5(f11(x6681,x6682),f2(x6683)))),
% 12.63/12.68 inference(scs_inference,[],[9,654,658,67,49,177,615,492,522,617,627,613,495,183,79,77,73,644,657,37,40,39,32,31,34,24,38,28,41,42])).
% 12.63/12.68 cnf(672,plain,
% 12.63/12.68 (~P2(f2(a12),f17(f11(x6721,x6722),f16(x6723)))),
% 12.63/12.68 inference(scs_inference,[],[641,35])).
% 12.63/12.68 cnf(674,plain,
% 12.63/12.68 (~P4(f19(x6741,x6742),f16(x6743),a12)),
% 12.63/12.68 inference(scs_inference,[],[641,629,35,37])).
% 12.63/12.68 cnf(676,plain,
% 12.63/12.68 (P4(f10(x6761,x6762),f1(f11(x6761,x6762)),f10(x6761,x6762))),
% 12.63/12.68 inference(scs_inference,[],[9,641,629,133,73,35,37,40])).
% 12.63/12.68 cnf(688,plain,
% 12.63/12.68 (~P2(a12,f20(x6881,f9(x6881,x6882)))),
% 12.63/12.68 inference(scs_inference,[],[9,61,11,324,641,648,629,133,77,73,5,35,37,40,41,31,34])).
% 12.63/12.68 cnf(689,plain,
% 12.63/12.68 (P2(f10(x6891,x6892),f11(x6891,x6892))),
% 12.63/12.68 inference(rename_variables,[],[9])).
% 12.63/12.68 cnf(692,plain,
% 12.63/12.68 (P2(f17(x6921,x6921),f2(f20(x6921,x6921)))),
% 12.63/12.68 inference(scs_inference,[],[9,61,11,639,324,641,648,629,133,77,73,5,35,37,40,41,31,34,24])).
% 12.63/12.68 cnf(696,plain,
% 12.63/12.68 (~P3(x6961,f18(x6962,f6(x6962)))),
% 12.63/12.68 inference(scs_inference,[],[9,689,61,11,639,324,641,648,629,133,204,244,77,73,5,35,37,40,41,31,34,24,39,30])).
% 12.63/12.68 cnf(701,plain,
% 12.63/12.68 (P2(f20(x7011,x7011),f17(f2(x7011),f2(x7011)))),
% 12.63/12.68 inference(scs_inference,[],[347,37])).
% 12.63/12.68 cnf(703,plain,
% 12.63/12.68 (P5(f2(f2(x7031)),f6(x7031),f8(x7031))),
% 12.63/12.68 inference(scs_inference,[],[13,347,297,462,4,37,42])).
% 12.63/12.68 cnf(710,plain,
% 12.63/12.68 (P2(x7101,f2(x7101))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(712,plain,
% 12.63/12.68 (P1(f2(f8(x7121)))),
% 12.63/12.68 inference(scs_inference,[],[10,13,73,710,347,297,462,133,3,4,37,42,40,22])).
% 12.63/12.68 cnf(713,plain,
% 12.63/12.68 (P2(x7131,f2(x7131))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(715,plain,
% 12.63/12.68 (~P1(f2(f11(x7151,x7152)))),
% 12.63/12.68 inference(scs_inference,[],[10,13,73,710,713,347,297,462,133,175,3,4,37,42,40,22,23])).
% 12.63/12.68 cnf(716,plain,
% 12.63/12.68 (P2(x7161,f2(x7161))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(720,plain,
% 12.63/12.68 (P3(x7201,f16(x7201))),
% 12.63/12.68 inference(rename_variables,[],[46])).
% 12.63/12.68 cnf(723,plain,
% 12.63/12.68 (P2(f18(x7231,f6(x7231)),f2(a12))),
% 12.63/12.68 inference(scs_inference,[],[10,13,73,710,713,716,46,11,347,688,446,297,462,133,175,3,4,37,42,40,22,23,32,31])).
% 12.63/12.68 cnf(728,plain,
% 12.63/12.68 (~P2(f10(x7281,x7282),f7(x7283))),
% 12.63/12.68 inference(scs_inference,[],[10,13,73,710,713,716,46,720,11,347,538,480,688,446,297,462,133,175,3,4,37,42,40,22,23,32,31,30,24])).
% 12.63/12.68 cnf(730,plain,
% 12.63/12.68 (P2(f17(a12,f1(a12)),a12)),
% 12.63/12.68 inference(scs_inference,[],[10,13,73,710,713,716,46,720,11,347,538,480,535,688,446,297,462,133,175,3,4,37,42,40,22,23,32,31,30,24,19])).
% 12.63/12.68 cnf(734,plain,
% 12.63/12.68 (~P3(x7341,f2(f2(a12)))),
% 12.63/12.68 inference(scs_inference,[],[10,13,73,710,713,716,46,720,11,347,538,480,535,688,446,297,462,133,330,175,3,4,37,42,40,22,23,32,31,30,24,19,20,27])).
% 12.63/12.68 cnf(752,plain,
% 12.63/12.68 (~P1(f20(x7521,f9(x7521,x7522)))),
% 12.63/12.68 inference(scs_inference,[],[10,67,73,692,252,587,81,42,40,22])).
% 12.63/12.68 cnf(755,plain,
% 12.63/12.68 (P1(f5(x7551,f6(x7551)))),
% 12.63/12.68 inference(scs_inference,[],[10,67,73,692,252,587,79,426,81,42,40,22,23])).
% 12.63/12.68 cnf(756,plain,
% 12.63/12.68 (P2(f5(x7561,x7562),f18(x7561,x7562))),
% 12.63/12.68 inference(rename_variables,[],[79])).
% 12.63/12.68 cnf(758,plain,
% 12.63/12.68 (P2(f5(x7581,f6(x7581)),f2(a12))),
% 12.63/12.68 inference(scs_inference,[],[10,67,73,692,252,723,587,79,756,426,81,42,40,22,23,31])).
% 12.63/12.68 cnf(764,plain,
% 12.63/12.68 (~P2(f2(f3(x7641,x7642)),f1(x7643))),
% 12.63/12.68 inference(scs_inference,[],[10,67,73,11,44,692,252,264,723,395,455,587,79,756,426,81,42,40,22,23,31,30,33])).
% 12.63/12.68 cnf(765,plain,
% 12.63/12.68 (P2(f2(f9(x7651,x7652)),f16(x7652))),
% 12.63/12.68 inference(rename_variables,[],[455])).
% 12.63/12.68 cnf(768,plain,
% 12.63/12.68 (P3(f8(x7681),f2(f9(x7682,a12)))),
% 12.63/12.68 inference(scs_inference,[],[10,67,73,46,11,44,692,252,264,723,395,455,765,246,587,79,756,426,81,42,40,22,23,31,30,33,34])).
% 12.63/12.68 cnf(772,plain,
% 12.63/12.68 (P2(f17(f2(x7721),f2(x7721)),f20(x7721,x7721))),
% 12.63/12.68 inference(scs_inference,[],[10,67,73,46,11,44,692,701,252,264,723,395,455,765,246,587,79,756,426,81,42,40,22,23,31,30,33,34,24])).
% 12.63/12.68 cnf(778,plain,
% 12.63/12.68 (P2(f11(x7781,x7782),f17(f2(x7781),f9(x7781,x7782)))),
% 12.63/12.68 inference(scs_inference,[],[404,37])).
% 12.63/12.68 cnf(784,plain,
% 12.63/12.68 (P3(f20(x7841,x7842),f11(x7841,x7842))),
% 12.63/12.68 inference(rename_variables,[],[11])).
% 12.63/12.68 cnf(788,plain,
% 12.63/12.68 (~P3(x7881,f2(f7(x7882)))),
% 12.63/12.68 inference(scs_inference,[],[11,73,44,404,752,715,688,204,8,37,22,32,23,30])).
% 12.63/12.68 cnf(789,plain,
% 12.63/12.68 (P2(x7891,f2(x7891))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(792,plain,
% 12.63/12.68 (~P2(f1(x7921),f10(x7922,x7923))),
% 12.63/12.68 inference(rename_variables,[],[653])).
% 12.63/12.68 cnf(794,plain,
% 12.63/12.68 (P3(f1(x7941),f2(f9(x7942,a12)))),
% 12.63/12.68 inference(scs_inference,[],[11,75,73,46,44,404,752,653,715,688,455,204,8,37,22,32,23,30,31,34])).
% 12.63/12.68 cnf(798,plain,
% 12.63/12.68 (~P2(f10(x7981,x7982),f1(x7983))),
% 12.63/12.68 inference(scs_inference,[],[11,75,73,46,44,404,752,653,792,715,688,455,204,8,37,22,32,23,30,31,34,24])).
% 12.63/12.68 cnf(800,plain,
% 12.63/12.68 (P2(f5(x8001,f2(x8002)),f18(x8001,x8002))),
% 12.63/12.68 inference(scs_inference,[],[11,75,73,46,44,404,89,752,653,792,715,688,455,204,8,37,22,32,23,30,31,34,24,38])).
% 12.63/12.68 cnf(802,plain,
% 12.63/12.68 (~P2(f18(x8021,f6(x8021)),f16(x8022))),
% 12.63/12.68 inference(scs_inference,[],[11,75,73,46,44,404,89,696,752,653,792,715,688,455,204,8,37,22,32,23,30,31,34,24,38,28])).
% 12.63/12.68 cnf(804,plain,
% 12.63/12.68 (~P2(f11(x8041,x8042),f18(x8043,f6(x8043)))),
% 12.63/12.68 inference(scs_inference,[],[11,784,75,73,789,46,44,404,89,696,752,653,792,715,688,455,204,8,37,22,32,23,30,31,34,24,38,28,33])).
% 12.63/12.68 cnf(806,plain,
% 12.63/12.68 (P2(x8061,f2(x8061))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(811,plain,
% 12.63/12.68 (P4(f1(x8111),f1(x8111),f20(a12,a12))),
% 12.63/12.68 inference(scs_inference,[],[11,784,67,52,75,73,789,806,46,44,404,89,696,752,653,792,715,688,455,204,8,37,22,32,23,30,31,34,24,38,28,33,43,40])).
% 12.63/12.68 cnf(815,plain,
% 12.63/12.68 (~P5(x8151,f6(x8151),f11(x8152,x8153))),
% 12.63/12.68 inference(scs_inference,[],[804,38])).
% 12.63/12.68 cnf(818,plain,
% 12.63/12.68 (P2(x8181,f2(x8181))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(819,plain,
% 12.63/12.68 (P4(f5(x8191,x8192),x8191,f19(x8191,x8192))),
% 12.63/12.68 inference(rename_variables,[],[18])).
% 12.63/12.68 cnf(829,plain,
% 12.63/12.68 (~P3(f11(x8291,x8292),f9(x8293,a12))),
% 12.63/12.68 inference(scs_inference,[],[18,819,73,818,800,804,768,236,238,627,462,77,38,39,40,32])).
% 12.63/12.68 cnf(831,plain,
% 12.63/12.68 (P2(x8311,f2(x8311))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(833,plain,
% 12.63/12.68 (P2(f1(x8331),f2(a12))),
% 12.63/12.68 inference(scs_inference,[],[18,819,75,73,818,831,800,804,768,236,238,627,462,77,38,39,40,32,31])).
% 12.63/12.68 cnf(834,plain,
% 12.63/12.68 (P2(x8341,f2(x8341))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(836,plain,
% 12.63/12.68 (P3(f17(x8361,x8361),f2(f10(x8361,x8361)))),
% 12.63/12.68 inference(scs_inference,[],[18,819,75,73,818,831,834,442,800,804,768,236,238,627,639,462,77,38,39,40,32,31,33])).
% 12.63/12.68 cnf(838,plain,
% 12.63/12.68 (P2(x8381,f2(x8381))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(840,plain,
% 12.63/12.68 (~P3(f2(a12),f16(f10(x8401,x8402)))),
% 12.63/12.68 inference(scs_inference,[],[18,819,75,73,818,831,834,838,442,800,804,768,414,236,238,627,639,462,291,77,38,39,40,32,31,33,34])).
% 12.63/12.68 cnf(842,plain,
% 12.63/12.68 (P2(x8421,f2(x8421))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(844,plain,
% 12.63/12.68 (P2(a12,f1(x8441))),
% 12.63/12.68 inference(scs_inference,[],[18,819,75,73,818,831,834,838,442,800,804,768,414,236,238,627,639,462,291,77,38,39,40,32,31,33,34,24])).
% 12.63/12.68 cnf(852,plain,
% 12.63/12.68 (~P5(f1(x8521),f6(a12),f2(f11(x8522,x8523)))),
% 12.63/12.68 inference(scs_inference,[],[11,18,819,17,75,73,818,831,834,838,842,44,442,800,804,768,414,236,238,627,639,151,462,291,77,4,38,39,40,32,31,33,34,24,41,43,42])).
% 12.63/12.68 cnf(865,plain,
% 12.63/12.68 (P2(x8651,f2(x8651))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(868,plain,
% 12.63/12.68 (~P2(f2(a12),f20(x8681,f9(x8681,x8682)))),
% 12.63/12.68 inference(scs_inference,[],[61,77,73,384,752,154,38,42,22])).
% 12.63/12.68 cnf(871,plain,
% 12.63/12.68 (P2(f9(x8711,x8712),f16(x8712))),
% 12.63/12.68 inference(rename_variables,[],[77])).
% 12.63/12.68 cnf(876,plain,
% 12.63/12.68 (~P2(f18(x8761,f6(x8761)),f9(x8762,x8763))),
% 12.63/12.68 inference(scs_inference,[],[61,77,871,73,44,802,728,384,752,715,154,7,38,42,22,32,23,31])).
% 12.63/12.68 cnf(877,plain,
% 12.63/12.68 (P2(f9(x8771,x8772),f16(x8772))),
% 12.63/12.68 inference(rename_variables,[],[77])).
% 12.63/12.68 cnf(889,plain,
% 12.63/12.68 (~P2(f16(x8891),f18(x8892,f6(x8892)))),
% 12.63/12.68 inference(scs_inference,[],[61,55,77,871,877,75,73,46,44,836,802,728,384,752,264,715,154,7,5,38,42,22,32,23,31,33,30,34,24])).
% 12.63/12.68 cnf(891,plain,
% 12.63/12.68 (P2(f5(x8911,f6(x8911)),a12)),
% 12.63/12.68 inference(scs_inference,[],[61,55,77,871,877,75,73,46,44,836,755,802,728,384,752,264,715,154,7,5,38,42,22,32,23,31,33,30,34,24,19])).
% 12.63/12.68 cnf(893,plain,
% 12.63/12.68 (~P3(a12,f16(f3(x8931,x8932)))),
% 12.63/12.68 inference(scs_inference,[],[61,55,77,871,877,75,73,46,44,836,755,802,728,384,752,264,715,154,7,5,38,42,22,32,23,31,33,30,34,24,19,27])).
% 12.63/12.68 cnf(895,plain,
% 12.63/12.68 (~P4(f11(x8951,x8952),f11(x8951,x8952),f7(x8953))),
% 12.63/12.68 inference(scs_inference,[],[61,55,77,871,877,75,73,865,46,44,836,755,802,646,728,384,752,264,715,154,172,7,5,38,42,22,32,23,31,33,30,34,24,19,27,39])).
% 12.63/12.68 cnf(910,plain,
% 12.63/12.68 (~P2(f7(x9101),f17(f11(x9102,x9103),f11(x9102,x9103)))),
% 12.63/12.68 inference(scs_inference,[],[895,35])).
% 12.63/12.68 cnf(912,plain,
% 12.63/12.68 (~P5(x9121,f6(x9121),f16(x9122))),
% 12.63/12.68 inference(scs_inference,[],[895,889,35,38])).
% 12.63/12.68 cnf(914,plain,
% 12.63/12.68 (P5(f1(x9141),f1(x9141),f5(a12,a12))),
% 12.63/12.68 inference(scs_inference,[],[61,75,73,895,889,35,38,42])).
% 12.63/12.68 cnf(916,plain,
% 12.63/12.68 (P2(x9161,f2(x9161))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(918,plain,
% 12.63/12.68 (P4(f2(f9(x9181,x9182)),a12,f16(x9182))),
% 12.63/12.68 inference(scs_inference,[],[61,77,75,73,916,895,889,289,133,35,38,42,39])).
% 12.63/12.68 cnf(919,plain,
% 12.63/12.68 (P2(x9191,f2(x9191))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(923,plain,
% 12.63/12.68 (P4(f9(x9231,x9232),a12,f16(x9232))),
% 12.63/12.68 inference(scs_inference,[],[12,61,77,75,73,916,919,895,889,844,289,133,35,38,42,39,40])).
% 12.63/12.68 cnf(925,plain,
% 12.63/12.68 (P2(x9251,f2(x9251))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(928,plain,
% 12.63/12.68 (P2(f2(f7(x9281)),f8(x9281))),
% 12.63/12.68 inference(scs_inference,[],[12,61,77,75,73,916,919,46,895,889,844,466,289,353,133,35,38,42,39,40,32])).
% 12.63/12.68 cnf(930,plain,
% 12.63/12.68 (P3(x9301,f16(x9301))),
% 12.63/12.68 inference(rename_variables,[],[46])).
% 12.63/12.68 cnf(933,plain,
% 12.63/12.68 (P2(x9331,f2(x9331))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(935,plain,
% 12.63/12.68 (~P3(x9351,f2(f6(x9352)))),
% 12.63/12.68 inference(scs_inference,[],[12,61,77,75,73,916,919,925,933,46,895,889,798,844,466,289,353,133,2,35,38,42,39,40,32,31,30])).
% 12.63/12.68 cnf(940,plain,
% 12.63/12.68 (P3(x9401,f16(x9401))),
% 12.63/12.68 inference(rename_variables,[],[46])).
% 12.63/12.68 cnf(942,plain,
% 12.63/12.68 (P3(f1(x9421),f9(x9422,a12))),
% 12.63/12.68 inference(scs_inference,[],[12,61,55,77,75,73,916,919,925,933,46,930,940,895,889,798,844,466,289,353,133,2,35,38,42,39,40,32,31,30,33,34])).
% 12.63/12.68 cnf(944,plain,
% 12.63/12.68 (P2(f9(x9441,x9442),f16(x9442))),
% 12.63/12.68 inference(rename_variables,[],[77])).
% 12.63/12.68 cnf(946,plain,
% 12.63/12.68 (P2(f16(x9461),f9(x9462,x9461))),
% 12.63/12.68 inference(scs_inference,[],[12,61,55,77,944,75,73,916,919,925,933,46,930,940,895,889,798,844,466,289,353,133,2,35,38,42,39,40,32,31,30,33,34,24])).
% 12.63/12.68 cnf(948,plain,
% 12.63/12.68 (P2(f9(x9481,a12),f16(f1(x9482)))),
% 12.63/12.68 inference(scs_inference,[],[12,61,55,77,944,75,73,916,919,925,933,46,930,940,895,889,798,844,466,289,353,133,2,35,38,42,39,40,32,31,30,33,34,24,27])).
% 12.63/12.68 cnf(957,plain,
% 12.63/12.68 (P2(x9571,f2(x9571))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(958,plain,
% 12.63/12.68 (P2(f5(x9581,x9582),f18(x9581,x9582))),
% 12.63/12.68 inference(rename_variables,[],[79])).
% 12.63/12.68 cnf(963,plain,
% 12.63/12.68 (P2(x9631,f2(x9631))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(966,plain,
% 12.63/12.68 (P2(x9661,f2(x9661))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(969,plain,
% 12.63/12.68 (P2(f5(x9691,x9692),f2(f18(x9691,x9692)))),
% 12.63/12.68 inference(scs_inference,[],[79,958,67,52,15,77,73,957,963,966,914,730,844,38,41,39,40,31])).
% 12.63/12.68 cnf(970,plain,
% 12.63/12.68 (P2(x9701,f2(x9701))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(976,plain,
% 12.63/12.68 (P3(f20(x9761,x9761),f10(f2(x9761),f2(x9761)))),
% 12.63/12.68 inference(scs_inference,[],[57,79,958,67,52,15,77,73,957,963,966,970,46,914,730,836,844,701,38,41,39,40,31,33,34])).
% 12.63/12.68 cnf(978,plain,
% 12.63/12.68 (P2(x9781,f2(x9781))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(980,plain,
% 12.63/12.68 (~P2(f17(f11(x9801,x9802),f11(x9801,x9802)),f7(x9803))),
% 12.63/12.68 inference(scs_inference,[],[57,79,958,67,52,15,77,73,957,963,966,970,46,910,914,730,836,844,701,38,41,39,40,31,33,34,24])).
% 12.63/12.68 cnf(984,plain,
% 12.63/12.68 (P2(f20(x9841,f2(x9842)),f17(x9841,x9842))),
% 12.63/12.68 inference(scs_inference,[],[57,79,958,67,52,15,77,73,957,963,966,970,46,94,910,788,914,730,836,844,701,38,41,39,40,31,33,34,24,28,37])).
% 12.63/12.68 cnf(988,plain,
% 12.63/12.68 (~P3(f16(x9881),f16(a12))),
% 12.63/12.68 inference(scs_inference,[],[57,79,958,67,52,15,77,73,957,963,966,970,978,46,703,94,910,912,788,914,942,730,107,836,844,701,38,41,39,40,31,33,34,24,28,37,42,32])).
% 12.63/12.68 cnf(994,plain,
% 12.63/12.68 (P5(f16(x9941),f16(x9941),f18(f9(x9942,x9941),f9(x9942,x9941)))),
% 12.63/12.68 inference(scs_inference,[],[79,15,77,41])).
% 12.63/12.68 cnf(995,plain,
% 12.63/12.68 (P2(f5(x9951,x9952),f18(x9951,x9952))),
% 12.63/12.68 inference(rename_variables,[],[79])).
% 12.63/12.68 cnf(998,plain,
% 12.63/12.68 (P4(f16(x9981),f2(a12),f9(x9982,x9981))),
% 12.63/12.68 inference(scs_inference,[],[79,15,77,73,946,923,41,39])).
% 12.63/12.68 cnf(1000,plain,
% 12.63/12.68 (P2(x10001,f2(x10001))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(1007,plain,
% 12.63/12.68 (~P3(f7(x10071),f11(f11(x10072,x10073),f11(x10072,x10073)))),
% 12.63/12.68 inference(scs_inference,[],[14,79,15,77,75,73,980,946,923,836,772,151,41,39,40,32])).
% 12.63/12.68 cnf(1011,plain,
% 12.63/12.68 (~P2(f16(x10111),f5(x10112,f6(x10112)))),
% 12.63/12.68 inference(scs_inference,[],[14,79,995,15,77,75,73,980,946,923,889,836,772,151,41,39,40,32,31])).
% 12.63/12.68 cnf(1012,plain,
% 12.63/12.68 (P2(f5(x10121,x10122),f18(x10121,x10122))),
% 12.63/12.68 inference(rename_variables,[],[79])).
% 12.63/12.68 cnf(1016,plain,
% 12.63/12.68 (P2(f9(x10161,x10162),f16(x10162))),
% 12.63/12.68 inference(rename_variables,[],[77])).
% 12.63/12.68 cnf(1020,plain,
% 12.63/12.68 (~P3(f2(f11(x10201,x10202)),f16(a12))),
% 12.63/12.68 inference(scs_inference,[],[14,79,995,1012,15,77,1016,75,73,1000,44,980,946,829,923,279,889,836,772,151,7,41,39,40,32,31,33,30,34])).
% 12.63/12.68 cnf(1024,plain,
% 12.63/12.68 (P2(f18(x10241,x10242),f5(x10241,x10242))),
% 12.63/12.68 inference(scs_inference,[],[14,79,995,1012,15,77,1016,75,73,1000,44,980,946,829,923,279,889,836,772,151,7,41,39,40,32,31,33,30,34,24])).
% 12.63/12.68 cnf(1026,plain,
% 12.63/12.68 (~P4(f17(f5(x10261,x10262),x10261),f9(x10263,x10264),f1(x10265))),
% 12.63/12.68 inference(scs_inference,[],[75,77,674,470,39])).
% 12.63/12.68 cnf(1027,plain,
% 12.63/12.68 (P2(f9(x10271,x10272),f16(x10272))),
% 12.63/12.68 inference(rename_variables,[],[77])).
% 12.63/12.68 cnf(1030,plain,
% 12.63/12.68 (~P2(f7(x10301),f20(f10(x10302,x10303),f10(x10302,x10303)))),
% 12.63/12.68 inference(scs_inference,[],[14,75,77,674,470,895,172,39,40])).
% 12.63/12.68 cnf(1034,plain,
% 12.63/12.68 (P1(f20(a12,f1(a12)))),
% 12.63/12.68 inference(scs_inference,[],[14,81,75,77,674,470,895,535,172,39,40,23])).
% 12.63/12.68 cnf(1035,plain,
% 12.63/12.68 (P2(f20(x10351,x10352),f17(x10351,x10352))),
% 12.63/12.68 inference(rename_variables,[],[81])).
% 12.63/12.68 cnf(1037,plain,
% 12.63/12.68 (~P3(f9(x10371,a12),f9(x10371,a12))),
% 12.63/12.68 inference(scs_inference,[],[14,81,75,77,1027,988,674,470,895,535,172,39,40,23,33])).
% 12.63/12.68 cnf(1042,plain,
% 12.63/12.68 (P2(x10421,f2(x10421))),
% 12.63/12.68 inference(rename_variables,[],[73])).
% 12.63/12.68 cnf(1044,plain,
% 12.63/12.68 (~P3(x10441,f2(f8(x10442)))),
% 12.63/12.68 inference(scs_inference,[],[14,81,75,73,1042,77,1027,988,351,674,470,895,535,172,3,39,40,23,33,31,30])).
% 12.63/12.68 cnf(1053,plain,
% 12.63/12.68 (P2(f2(f8(x10531)),a12)),
% 12.63/12.68 inference(scs_inference,[],[14,81,1035,46,75,73,1042,77,1027,1011,988,351,712,674,470,895,535,547,172,3,39,40,23,33,31,30,34,24,19])).
% 12.63/12.68 cnf(1055,plain,
% 12.63/12.68 (~P3(x10551,f5(x10552,f6(x10552)))),
% 12.63/12.68 inference(scs_inference,[],[14,81,1035,46,75,73,1042,77,1027,1011,988,351,712,674,470,895,535,547,172,3,39,40,23,33,31,30,34,24,19,27])).
% 12.63/12.68 cnf(1070,plain,
% 12.63/12.68 (~P1(f17(f2(x10701),f9(x10701,x10702)))),
% 12.63/12.68 inference(scs_inference,[],[81,79,15,75,77,778,416,674,175,41,39,23])).
% 12.63/12.68 cnf(1073,plain,
% 12.63/12.68 (P3(a12,f16(f1(x10731)))),
% 12.63/12.68 inference(scs_inference,[],[81,79,15,75,77,948,778,416,674,942,175,41,39,23,33])).
% 12.63/12.68 cnf(1077,plain,
% 12.63/12.68 (~P3(x10771,f17(a12,f1(a12)))),
% 12.63/12.68 inference(scs_inference,[],[81,79,15,75,77,1034,948,778,416,674,942,175,41,39,23,33,30])).
% 12.63/12.68 cnf(1078,plain,
% 12.63/12.68 (P2(f20(x10781,x10782),f17(x10781,x10782))),
% 12.63/12.68 inference(rename_variables,[],[81])).
% 12.63/12.68 cnf(1080,plain,
% 12.63/12.68 (P2(f20(x10801,x10802),f2(f17(x10801,x10802)))),
% 12.63/12.68 inference(scs_inference,[],[81,1078,79,15,75,73,77,1034,948,778,416,674,942,175,41,39,23,33,30,31])).
% 12.63/12.68 cnf(1087,plain,
% 12.63/12.68 (P2(f17(x10871,x10872),f20(x10871,x10872))),
% 12.63/12.68 inference(scs_inference,[],[81,1078,79,15,46,75,73,77,1034,948,778,416,674,942,175,41,39,23,33,30,31,34,24])).
% 12.63/12.68 cnf(1089,plain,
% 12.63/12.68 (P2(f16(f1(x10891)),f16(a12))),
% 12.63/12.68 inference(scs_inference,[],[81,1078,79,15,46,75,73,77,1034,948,778,416,674,942,175,41,39,23,33,30,31,34,24,27])).
% 12.63/12.68 cnf(1097,plain,
% 12.63/12.68 (~P5(a12,f2(f6(a12)),f11(x10971,x10972))),
% 12.63/12.68 inference(scs_inference,[],[73,75,852,5,42])).
% 12.63/12.68 cnf(1098,plain,
% 12.63/12.68 (P2(f2(x10981),x10981)),
% 12.63/12.68 inference(rename_variables,[],[5])).
% 12.63/12.68 cnf(1102,plain,
% 12.63/12.68 (~P2(a12,f17(f2(x11021),f9(x11021,x11022)))),
% 12.63/12.68 inference(scs_inference,[],[73,75,44,1070,852,5,42,22])).
% 12.63/12.68 cnf(1108,plain,
% 12.63/12.68 (~P2(f11(x11081,x11082),f5(x11083,f6(x11083)))),
% 12.63/12.68 inference(scs_inference,[],[67,79,73,75,44,1070,852,804,5,1098,42,22,39,31])).
% 12.63/12.68 cnf(1109,plain,
% 12.63/12.68 (P2(f5(x11091,x11092),f18(x11091,x11092))),
% 12.63/12.68 inference(rename_variables,[],[79])).
% 12.63/12.68 cnf(1115,plain,
% 12.63/12.68 (~P2(f20(f10(x11151,x11152),f10(x11151,x11152)),f7(x11153))),
% 12.63/12.68 inference(scs_inference,[],[67,79,1109,55,46,73,75,44,1030,1070,852,804,5,1098,42,22,39,31,33,24])).
% 12.63/12.68 cnf(1122,plain,
% 12.63/12.68 (P2(f4(x11221,x11222),f18(f2(x11221),f3(x11221,x11222)))),
% 12.63/12.68 inference(scs_inference,[],[67,79,1109,55,46,73,75,77,44,1030,1070,935,1073,419,852,804,5,1098,42,22,39,31,33,24,34,28,38])).
% 12.63/12.68 cnf(1124,plain,
% 12.63/12.69 (P2(f11(x11241,x11242),f17(x11241,f16(x11242)))),
% 12.63/12.69 inference(scs_inference,[],[67,79,1109,55,46,73,75,77,44,170,1030,1070,935,1073,419,852,804,5,1098,42,22,39,31,33,24,34,28,38,37])).
% 12.63/12.69 cnf(1131,plain,
% 12.63/12.69 (~P4(f2(x11311),f9(x11311,x11312),a12)),
% 12.63/12.69 inference(scs_inference,[],[1102,37])).
% 12.63/12.69 cnf(1133,plain,
% 12.63/12.69 (~P1(f20(f2(x11331),f9(x11331,x11332)))),
% 12.63/12.69 inference(scs_inference,[],[81,1102,1070,37,22])).
% 12.63/12.69 cnf(1134,plain,
% 12.63/12.69 (P2(f20(x11341,x11342),f17(x11341,x11342))),
% 12.63/12.69 inference(rename_variables,[],[81])).
% 12.63/12.69 cnf(1136,plain,
% 12.63/12.69 (~P4(f17(f5(x11361,x11362),x11361),f16(a12),f2(a12))),
% 12.63/12.69 inference(scs_inference,[],[81,73,1089,1102,1070,250,674,37,22,40])).
% 12.63/12.69 cnf(1138,plain,
% 12.63/12.69 (P2(x11381,f2(x11381))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1140,plain,
% 12.63/12.69 (~P2(f20(f2(x11401),f9(x11401,x11402)),a12)),
% 12.63/12.69 inference(scs_inference,[],[81,73,44,1089,1102,1070,250,674,37,22,40,23])).
% 12.63/12.69 cnf(1142,plain,
% 12.63/12.69 (~P2(f17(f10(x11421,x11422),f10(x11421,x11422)),f7(x11423))),
% 12.63/12.69 inference(scs_inference,[],[81,1134,73,44,1115,1089,1102,1070,250,674,37,22,40,23,31])).
% 12.63/12.69 cnf(1143,plain,
% 12.63/12.69 (P2(f20(x11431,x11432),f17(x11431,x11432))),
% 12.63/12.69 inference(rename_variables,[],[81])).
% 12.63/12.69 cnf(1145,plain,
% 12.63/12.69 (P3(f17(x11451,x11452),f2(f10(x11451,x11452)))),
% 12.63/12.69 inference(scs_inference,[],[81,1134,1143,73,1138,44,1115,1089,1102,1070,250,674,191,37,22,40,23,31,33])).
% 12.63/12.69 cnf(1147,plain,
% 12.63/12.69 (P2(x11471,f2(x11471))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1149,plain,
% 12.63/12.69 (P2(f18(f2(x11491),f3(x11491,x11492)),f4(x11491,x11492))),
% 12.63/12.69 inference(scs_inference,[],[81,1134,1143,73,1138,44,1122,1115,1089,1102,1070,250,674,191,37,22,40,23,31,33,24])).
% 12.63/12.69 cnf(1157,plain,
% 12.63/12.69 (P5(f20(x11571,x11572),f20(x11571,x11572),f18(f17(x11571,x11572),f17(x11571,x11572)))),
% 12.63/12.69 inference(scs_inference,[],[15,81,1134,1143,55,73,1138,1147,44,1122,1115,1089,1102,1024,1070,250,674,191,37,22,40,23,31,33,24,41,34,42])).
% 12.63/12.69 cnf(1161,plain,
% 12.63/12.69 (P2(f20(a12,a12),f17(f1(x11611),f1(x11611)))),
% 12.63/12.69 inference(scs_inference,[],[811,37])).
% 12.63/12.69 cnf(1163,plain,
% 12.63/12.69 (P5(f2(f2(x11631)),f16(x11632),f4(x11631,x11632))),
% 12.63/12.69 inference(scs_inference,[],[49,73,1149,811,291,37,41])).
% 12.63/12.69 cnf(1166,plain,
% 12.63/12.69 (P2(x11661,f2(x11661))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1170,plain,
% 12.63/12.69 (P2(x11701,f2(x11701))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1173,plain,
% 12.63/12.69 (P2(x11731,f2(x11731))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1176,plain,
% 12.63/12.69 (~P3(f3(x11761,a12),f3(x11761,a12))),
% 12.63/12.69 inference(scs_inference,[],[49,67,81,73,1166,1170,1149,811,988,923,946,844,291,37,41,39,40,33])).
% 12.63/12.69 cnf(1180,plain,
% 12.63/12.69 (P2(f9(x11801,x11802),f2(f16(x11802)))),
% 12.63/12.69 inference(scs_inference,[],[49,67,81,73,1166,1170,1173,77,1149,811,988,923,946,844,291,37,41,39,40,33,31])).
% 12.63/12.69 cnf(1183,plain,
% 12.63/12.69 (~P2(f7(x11831),f17(f10(x11832,x11833),f10(x11832,x11833)))),
% 12.63/12.69 inference(scs_inference,[],[49,67,81,73,1166,1170,1173,77,1149,1142,811,988,923,946,844,291,37,41,39,40,33,31,24])).
% 12.63/12.69 cnf(1185,plain,
% 12.63/12.69 (P3(f20(x11851,x11852),f16(f17(x11851,x11852)))),
% 12.63/12.69 inference(scs_inference,[],[49,67,81,46,73,1166,1170,1173,77,1149,1142,811,988,923,946,844,291,4,37,41,39,40,33,31,24,34])).
% 12.63/12.69 cnf(1189,plain,
% 12.63/12.69 (P2(f2(f6(x11891)),a12)),
% 12.63/12.69 inference(scs_inference,[],[49,67,81,46,73,1166,1170,1173,77,1149,1142,811,988,923,946,179,844,291,4,37,41,39,40,33,31,24,34,19])).
% 12.63/12.69 cnf(1194,plain,
% 12.63/12.69 (~P1(f17(x11941,f16(x11942)))),
% 12.63/12.69 inference(scs_inference,[],[49,67,81,46,73,1166,1170,1173,77,1149,1142,811,1097,1124,914,988,923,946,179,844,291,175,4,37,41,39,40,33,31,24,34,19,42,23])).
% 12.63/12.69 cnf(1202,plain,
% 12.63/12.69 (~P4(f10(x12021,x12022),f10(x12021,x12022),f7(x12023))),
% 12.63/12.69 inference(scs_inference,[],[1183,37])).
% 12.63/12.69 cnf(1204,plain,
% 12.63/12.69 (~P5(f1(x12041),a12,f2(f11(x12042,x12043)))),
% 12.63/12.69 inference(scs_inference,[],[73,1183,1189,1097,844,37,42])).
% 12.63/12.69 cnf(1205,plain,
% 12.63/12.69 (P2(x12051,f2(x12051))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1216,plain,
% 12.63/12.69 (P2(f20(x12161,x12162),f17(x12161,x12162))),
% 12.63/12.69 inference(rename_variables,[],[81])).
% 12.63/12.69 cnf(1221,plain,
% 12.63/12.69 (~P3(x12211,f1(x12212))),
% 12.63/12.69 inference(rename_variables,[],[55])).
% 12.63/12.69 cnf(1224,plain,
% 12.63/12.69 (~P2(f20(f2(x12241),f9(x12241,x12242)),f1(x12243))),
% 12.63/12.69 inference(scs_inference,[],[52,79,55,81,46,75,73,1205,44,1183,1133,1140,1189,1097,378,895,154,844,9,37,42,22,39,40,23,33,31])).
% 12.63/12.69 cnf(1230,plain,
% 12.63/12.69 (~P2(f1(x12301),f2(f10(x12302,x12303)))),
% 12.63/12.69 inference(scs_inference,[],[52,79,55,1221,81,1216,46,75,73,1205,44,969,1183,1133,1194,1140,1189,1145,1097,378,895,154,844,9,37,42,22,39,40,23,33,31,24,20,34])).
% 12.63/12.69 cnf(1236,plain,
% 12.63/12.69 (P2(f9(x12361,x12362),f17(f16(x12362),f2(a12)))),
% 12.63/12.69 inference(scs_inference,[],[998,37])).
% 12.63/12.69 cnf(1239,plain,
% 12.63/12.69 (P2(x12391,f2(x12391))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1242,plain,
% 12.63/12.69 (~P1(f20(x12421,f16(x12422)))),
% 12.63/12.69 inference(scs_inference,[],[61,79,81,73,998,1194,37,42,22])).
% 12.63/12.69 cnf(1244,plain,
% 12.63/12.69 (P2(f20(x12441,x12442),f17(x12441,x12442))),
% 12.63/12.69 inference(rename_variables,[],[81])).
% 12.63/12.69 cnf(1249,plain,
% 12.63/12.69 (P2(x12491,f2(x12491))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1250,plain,
% 12.63/12.69 (P2(f20(x12501,x12502),f17(x12501,x12502))),
% 12.63/12.69 inference(rename_variables,[],[81])).
% 12.63/12.69 cnf(1261,plain,
% 12.63/12.69 (~P2(f17(f2(x12611),f9(x12611,x12612)),f1(x12613))),
% 12.63/12.69 inference(scs_inference,[],[94,61,79,81,1244,1250,46,73,1239,75,77,1224,998,1037,1136,1087,1194,946,37,42,22,39,40,33,31])).
% 12.63/12.69 cnf(1264,plain,
% 12.63/12.69 (~P2(f9(x12641,x12642),f18(x12643,f6(x12643)))),
% 12.63/12.69 inference(scs_inference,[],[94,61,79,81,1244,1250,46,73,1239,75,77,876,1224,998,1037,1136,1087,1194,946,37,42,22,39,40,33,31,24])).
% 12.63/12.69 cnf(1268,plain,
% 12.63/12.69 (P2(x12681,f2(x12681))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1272,plain,
% 12.63/12.69 (~P5(x12721,f6(x12721),f9(x12722,x12723))),
% 12.63/12.69 inference(scs_inference,[],[94,61,79,55,81,1244,1250,46,73,1239,1249,75,77,876,1224,1077,998,1037,1136,1087,1194,946,37,42,22,39,40,33,31,24,34,28,38])).
% 12.63/12.69 cnf(1274,plain,
% 12.63/12.69 (P2(f19(x12741,x12742),f2(f4(x12741,x12742)))),
% 12.63/12.69 inference(scs_inference,[],[94,61,79,55,81,1244,1250,46,73,1239,1249,1268,75,77,876,1224,1077,998,1037,1136,1087,541,1194,395,946,37,42,22,39,40,33,31,24,34,28,38,32])).
% 12.63/12.69 cnf(1279,plain,
% 12.63/12.69 (~P1(f4(f16(x12791),x12792))),
% 12.63/12.69 inference(scs_inference,[],[590,1194,22])).
% 12.63/12.69 cnf(1283,plain,
% 12.63/12.69 (P3(f2(a12),f16(a12))),
% 12.63/12.69 inference(scs_inference,[],[73,590,1089,1073,1194,22,33])).
% 12.63/12.69 cnf(1285,plain,
% 12.63/12.69 (P2(x12851,f2(x12851))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1287,plain,
% 12.63/12.69 (P2(f1(x12871),f2(f2(a12)))),
% 12.63/12.69 inference(scs_inference,[],[73,1285,833,590,1089,1073,1194,22,33,31])).
% 12.63/12.69 cnf(1288,plain,
% 12.63/12.69 (P2(x12881,f2(x12881))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1292,plain,
% 12.63/12.69 (~P2(f3(x12921,x12922),f8(x12923))),
% 12.63/12.69 inference(scs_inference,[],[73,1285,1288,1080,433,833,590,1089,1073,148,1194,22,33,31,24,34])).
% 12.63/12.69 cnf(1293,plain,
% 12.63/12.69 (P2(x12931,f2(x12931))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1296,plain,
% 12.63/12.69 (~P1(f19(f16(x12961),x12962))),
% 12.63/12.69 inference(scs_inference,[],[73,1285,1288,1080,433,833,590,1089,1073,148,1194,22,33,31,24,34,503])).
% 12.63/12.69 cnf(1298,plain,
% 12.63/12.69 (P2(f16(a12),f16(f2(a12)))),
% 12.63/12.69 inference(scs_inference,[],[73,1285,1288,1080,433,833,590,1089,1073,148,1194,22,33,31,24,34,503,27])).
% 12.63/12.69 cnf(1304,plain,
% 12.63/12.69 (~P3(f17(f2(x13041),f9(x13041,x13042)),f9(x13043,a12))),
% 12.63/12.69 inference(scs_inference,[],[81,73,1285,1288,1293,1157,1080,1261,1272,433,833,590,794,1089,1073,148,1194,22,33,31,24,34,503,27,41,32])).
% 12.63/12.69 cnf(1312,plain,
% 12.63/12.69 (~P3(f16(a12),f11(a12,f16(a12)))),
% 12.63/12.69 inference(scs_inference,[],[94,79,81,46,73,1285,1288,1293,44,1157,1080,1261,1272,433,165,833,984,590,794,1089,1073,148,1194,151,1,7,22,33,31,24,34,503,27,41,32,39,43])).
% 12.63/12.69 cnf(1324,plain,
% 12.63/12.69 (P2(x13241,f2(x13241))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1327,plain,
% 12.63/12.69 (~P2(f2(f1(x13271)),f16(x13272))),
% 12.63/12.69 inference(scs_inference,[],[18,99,46,73,44,1279,1131,946,22,39,30])).
% 12.63/12.69 cnf(1329,plain,
% 12.63/12.69 (~P3(x13291,f20(a12,f1(a12)))),
% 12.63/12.69 inference(scs_inference,[],[18,99,81,46,73,1324,44,1279,1131,1077,946,22,39,30,33])).
% 12.63/12.69 cnf(1330,plain,
% 12.63/12.69 (P2(f20(x13301,x13302),f17(x13301,x13302))),
% 12.63/12.69 inference(rename_variables,[],[81])).
% 12.63/12.69 cnf(1336,plain,
% 12.63/12.69 (~P2(f5(x13361,f6(x13361)),f11(x13362,x13363))),
% 12.63/12.69 inference(scs_inference,[],[18,99,81,1330,46,73,1324,44,1108,1279,1131,672,1077,946,22,39,30,33,31,24])).
% 12.63/12.69 cnf(1338,plain,
% 12.63/12.69 (P3(f1(x13381),f16(f1(x13382)))),
% 12.63/12.69 inference(scs_inference,[],[18,99,81,1330,46,75,73,1324,44,1108,1279,1131,672,1077,1089,946,22,39,30,33,31,24,34])).
% 12.63/12.69 cnf(1339,plain,
% 12.63/12.69 (P3(x13391,f16(x13391))),
% 12.63/12.69 inference(rename_variables,[],[46])).
% 12.63/12.69 cnf(1344,plain,
% 12.63/12.69 (~P1(f17(f16(x13441),f2(a12)))),
% 12.63/12.69 inference(scs_inference,[],[18,99,81,1330,46,1339,75,73,1324,44,1108,1279,1283,1131,1236,664,672,1077,448,1089,946,22,39,30,33,31,24,34,32,23])).
% 12.63/12.69 cnf(1347,plain,
% 12.63/12.69 (P2(f20(a12,f1(a12)),a12)),
% 12.63/12.69 inference(scs_inference,[],[18,99,81,1330,46,1339,75,73,1324,44,1108,1279,1283,1131,1236,664,672,1077,1034,448,1089,946,22,39,30,33,31,24,34,32,23,19])).
% 12.63/12.69 cnf(1355,plain,
% 12.63/12.69 (~P5(f1(x13551),a12,f2(f11(x13552,x13553)))),
% 12.63/12.69 inference(rename_variables,[],[1204])).
% 12.63/12.69 cnf(1358,plain,
% 12.63/12.69 (~P5(a12,f2(f2(a12)),f11(x13581,x13582))),
% 12.63/12.69 inference(scs_inference,[],[73,1327,1204,1355,914,462,844,4,27,42,41])).
% 12.63/12.69 cnf(1361,plain,
% 12.63/12.69 (P2(x13611,f2(x13611))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1363,plain,
% 12.63/12.69 (~P1(f20(f16(x13631),f2(a12)))),
% 12.63/12.69 inference(scs_inference,[],[81,73,1327,1344,1204,1355,914,462,844,4,27,42,41,22])).
% 12.63/12.69 cnf(1364,plain,
% 12.63/12.69 (P2(f20(x13641,x13642),f17(x13641,x13642))),
% 12.63/12.69 inference(rename_variables,[],[81])).
% 12.63/12.69 cnf(1373,plain,
% 12.63/12.69 (P3(f17(x13731,x13732),f17(x13731,f16(x13732)))),
% 12.63/12.69 inference(scs_inference,[],[99,81,1364,77,73,1361,1327,1344,1204,1355,1298,1124,914,923,157,462,844,11,4,27,42,41,22,39,23,33])).
% 12.63/12.69 cnf(1381,plain,
% 12.63/12.69 (P2(f2(f16(x13811)),f9(x13812,x13811))),
% 12.63/12.69 inference(scs_inference,[],[99,79,81,1364,77,73,1361,1180,1336,1327,1344,1204,1355,1298,1124,914,923,157,462,844,11,4,27,42,41,22,39,23,33,31,24])).
% 12.63/12.69 cnf(1391,plain,
% 12.63/12.69 (P2(x13911,f2(x13911))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1394,plain,
% 12.63/12.69 (~P5(a12,f1(x13941),f20(f2(x13942),f9(x13942,x13943)))),
% 12.63/12.69 inference(scs_inference,[],[81,75,73,1391,1189,778,1097,42,41])).
% 12.63/12.69 cnf(1396,plain,
% 12.63/12.69 (P2(x13961,f2(x13961))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1402,plain,
% 12.63/12.69 (P2(f20(a12,f1(a12)),f2(a12))),
% 12.63/12.69 inference(scs_inference,[],[104,55,81,46,75,73,1391,1396,1347,1189,778,1097,42,41,33,31])).
% 12.63/12.69 cnf(1405,plain,
% 12.63/12.69 (~P2(f16(x14051),f1(x14052))),
% 12.63/12.69 inference(scs_inference,[],[104,107,55,81,46,75,73,1391,1396,1347,1189,778,1097,42,41,33,31,24])).
% 12.63/12.69 cnf(1409,plain,
% 12.63/12.69 (P2(f4(x14091,x14092),f17(f19(x14091,x14092),a12))),
% 12.63/12.69 inference(scs_inference,[],[104,107,55,81,46,75,73,1391,1396,1329,1347,409,1189,778,1097,42,41,33,31,24,28,37])).
% 12.63/12.69 cnf(1421,plain,
% 12.63/12.69 (P2(x14211,f2(x14211))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1423,plain,
% 12.63/12.69 (P4(f5(x14231,x14232),f1(f18(x14231,x14232)),f5(x14231,x14232))),
% 12.63/12.69 inference(scs_inference,[],[79,73,1421,75,160,416,133,41,40])).
% 12.63/12.69 cnf(1425,plain,
% 12.63/12.69 (P2(x14251,f2(x14251))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1430,plain,
% 12.63/12.69 (P2(x14301,f2(x14301))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1434,plain,
% 12.63/12.69 (P3(f2(f1(x14341)),f16(a12))),
% 12.63/12.69 inference(scs_inference,[],[44,104,79,77,73,1421,1425,1430,75,592,1363,160,416,942,133,41,40,22,39,33])).
% 12.63/12.69 cnf(1439,plain,
% 12.63/12.69 (~P2(f9(x14391,x14392),f5(x14393,f6(x14393)))),
% 12.63/12.69 inference(scs_inference,[],[44,104,79,77,73,1421,1425,1430,75,592,1264,1363,160,416,942,133,41,40,22,39,33,31])).
% 12.63/12.69 cnf(1442,plain,
% 12.63/12.69 (P2(f17(f19(x14421,x14422),a12),f4(x14421,x14422))),
% 12.63/12.69 inference(scs_inference,[],[44,104,79,77,73,1421,1425,1430,75,592,1264,1409,1363,160,416,942,133,41,40,22,39,33,31,24])).
% 12.63/12.69 cnf(1448,plain,
% 12.63/12.69 (P2(f1(x14481),f1(x14482))),
% 12.63/12.69 inference(scs_inference,[],[73,1338,148,32])).
% 12.63/12.69 cnf(1449,plain,
% 12.63/12.69 (P2(x14491,f2(x14491))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1452,plain,
% 12.63/12.69 (P4(f9(x14521,x14522),f1(x14523),f9(x14524,x14522))),
% 12.63/12.69 inference(scs_inference,[],[77,73,1449,75,918,1338,148,32,40])).
% 12.63/12.69 cnf(1454,plain,
% 12.63/12.69 (P2(x14541,f2(x14541))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1456,plain,
% 12.63/12.69 (P4(f2(f19(x14561,x14562)),f1(x14563),f4(x14561,x14562))),
% 12.63/12.69 inference(scs_inference,[],[52,77,73,1449,1454,75,1442,918,1338,148,844,32,40,39])).
% 12.63/12.69 cnf(1458,plain,
% 12.63/12.69 (P2(x14581,f2(x14581))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1462,plain,
% 12.63/12.69 (~P2(f2(f3(x14621,x14622)),f8(x14623))),
% 12.63/12.69 inference(scs_inference,[],[46,52,77,73,1449,1454,1458,75,1292,1442,918,1338,148,204,844,32,40,39,30,31])).
% 12.63/12.69 cnf(1465,plain,
% 12.63/12.69 (~P2(f5(x14651,f6(x14651)),f9(x14652,x14653))),
% 12.63/12.69 inference(scs_inference,[],[46,52,77,73,1449,1454,1458,75,1439,1292,1442,918,1338,148,204,844,32,40,39,30,31,24])).
% 12.63/12.69 cnf(1467,plain,
% 12.63/12.69 (P2(f6(x14671),a12)),
% 12.63/12.69 inference(scs_inference,[],[46,52,77,73,1449,1454,1458,75,1439,1292,1442,918,1338,148,2,204,844,32,40,39,30,31,24,19])).
% 12.63/12.69 cnf(1484,plain,
% 12.63/12.69 (P2(x14841,f2(x14841))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1487,plain,
% 12.63/12.69 (P2(x14871,f2(x14871))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1490,plain,
% 12.63/12.69 (~P2(f2(f1(x14901)),f10(x14902,x14903))),
% 12.63/12.69 inference(scs_inference,[],[99,77,73,1484,1163,1442,1183,1145,442,42,32,30])).
% 12.63/12.69 cnf(1493,plain,
% 12.63/12.69 (P2(x14931,f2(x14931))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1496,plain,
% 12.63/12.69 (P2(f6(x14961),f2(a12))),
% 12.63/12.69 inference(scs_inference,[],[99,77,73,1484,1487,1493,1163,893,1467,1442,1183,1145,442,946,42,32,30,34,31])).
% 12.63/12.69 cnf(1499,plain,
% 12.63/12.69 (P2(a12,f6(x14991))),
% 12.63/12.69 inference(scs_inference,[],[99,77,73,1484,1487,1493,1163,893,1467,1442,1183,1145,442,946,42,32,30,34,31,24])).
% 12.63/12.69 cnf(1509,plain,
% 12.63/12.69 (P3(f17(x15091,x15092),f17(f2(x15091),f9(x15091,x15092)))),
% 12.63/12.69 inference(scs_inference,[],[99,81,77,73,1484,1487,1493,1163,1394,893,1467,1242,703,1442,1183,1145,778,448,442,946,462,11,42,32,30,34,31,24,20,22,41,33])).
% 12.63/12.69 cnf(1522,plain,
% 12.63/12.69 (~P5(f1(x15221),f2(a12),f2(f10(x15222,x15223)))),
% 12.63/12.69 inference(scs_inference,[],[73,75,868,1358,1283,191,151,32,41])).
% 12.63/12.69 cnf(1524,plain,
% 12.63/12.69 (P2(x15241,f2(x15241))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1526,plain,
% 12.63/12.69 (P4(f16(x15261),f2(f1(x15262)),f16(x15261))),
% 12.63/12.69 inference(scs_inference,[],[77,73,1524,75,1452,868,1358,1283,191,151,32,41,39])).
% 12.63/12.69 cnf(1527,plain,
% 12.63/12.69 (P4(f9(x15271,x15272),f1(x15273),f9(x15274,x15272))),
% 12.63/12.69 inference(rename_variables,[],[1452])).
% 12.63/12.69 cnf(1528,plain,
% 12.63/12.69 (P2(x15281,f2(x15281))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1531,plain,
% 12.63/12.69 (P2(f9(x15311,x15312),f16(x15312))),
% 12.63/12.69 inference(rename_variables,[],[77])).
% 12.63/12.69 cnf(1533,plain,
% 12.63/12.69 (P2(x15331,f2(x15331))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1535,plain,
% 12.63/12.69 (~P2(f17(x15351,f16(x15352)),f1(x15353))),
% 12.63/12.69 inference(scs_inference,[],[55,77,73,1524,1528,1533,75,1452,868,1358,1373,1026,1283,515,191,151,32,41,39,40,33])).
% 12.63/12.69 cnf(1539,plain,
% 12.63/12.69 (~P2(f1(x15391),f9(x15392,x15393))),
% 12.63/12.69 inference(scs_inference,[],[107,55,77,1531,73,1524,1528,1533,75,1452,868,1358,1373,1026,1283,515,191,151,32,41,39,40,33,31])).
% 12.63/12.69 cnf(1546,plain,
% 12.63/12.69 (P2(f9(x15461,x15462),f17(f9(x15463,x15462),f1(x15464)))),
% 12.63/12.69 inference(scs_inference,[],[107,55,77,1531,73,1524,1528,1533,75,1452,1527,764,1176,868,1358,1373,1026,1283,515,191,151,32,41,39,40,33,31,24,28,37])).
% 12.63/12.69 cnf(1550,plain,
% 12.63/12.69 (~P1(f17(f16(x15501),a12))),
% 12.63/12.69 inference(scs_inference,[],[107,55,77,1531,73,1524,1528,1533,75,1452,1527,764,1176,868,1358,1274,1373,1026,1363,1283,515,984,191,151,32,41,39,40,33,31,24,28,37,22,23])).
% 12.63/12.69 cnf(1553,plain,
% 12.63/12.69 (P3(f1(x15531),f16(a12))),
% 12.63/12.69 inference(scs_inference,[],[107,55,77,1531,73,1524,1528,1533,75,1452,1527,764,1176,868,1358,1274,1373,1026,1363,1298,1283,515,984,293,191,151,32,41,39,40,33,31,24,28,37,22,23,34])).
% 12.63/12.69 cnf(1564,plain,
% 12.63/12.69 (P2(f16(a12),f16(f1(x15641)))),
% 12.63/12.69 inference(scs_inference,[],[1553,27])).
% 12.63/12.69 cnf(1566,plain,
% 12.63/12.69 (~P3(f16(x15661),f2(f16(a12)))),
% 12.63/12.69 inference(scs_inference,[],[107,73,1553,27,32])).
% 12.63/12.69 cnf(1568,plain,
% 12.63/12.69 (P2(x15681,f2(x15681))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1570,plain,
% 12.63/12.69 (~P2(f5(x15701,f6(x15701)),f3(x15702,x15703))),
% 12.63/12.69 inference(scs_inference,[],[119,107,73,1553,755,27,32,22])).
% 12.63/12.69 cnf(1572,plain,
% 12.63/12.69 (~P2(f9(x15721,x15722),f2(f1(x15723)))),
% 12.63/12.69 inference(scs_inference,[],[119,107,99,73,1553,755,448,27,32,22,23])).
% 12.63/12.69 cnf(1574,plain,
% 12.63/12.69 (~P2(f2(a12),f17(f2(x15741),f9(x15741,x15742)))),
% 12.63/12.69 inference(scs_inference,[],[119,107,99,73,1509,1553,755,448,154,27,32,22,23,30])).
% 12.63/12.69 cnf(1576,plain,
% 12.63/12.69 (~P2(f1(x15761),f17(f2(x15762),f9(x15762,x15763)))),
% 12.63/12.69 inference(scs_inference,[],[119,107,99,55,81,73,1509,1553,755,448,154,27,32,22,23,30,34])).
% 12.63/12.69 cnf(1583,plain,
% 12.63/12.69 (P2(f17(f9(x15831,x15832),f1(x15833)),f9(x15834,x15832))),
% 12.63/12.69 inference(scs_inference,[],[119,107,99,55,81,73,1568,1509,1546,1405,1553,755,448,154,27,32,22,23,30,34,31,24])).
% 12.63/12.69 cnf(1585,plain,
% 12.63/12.69 (~P4(f2(x15851),f9(x15851,x15852),f2(a12))),
% 12.63/12.69 inference(scs_inference,[],[119,107,99,55,81,73,1568,1509,1546,1405,1553,755,448,154,27,32,22,23,30,34,31,24,37])).
% 12.63/12.69 cnf(1599,plain,
% 12.63/12.69 (P2(f16(x15991),f17(f9(x15992,x15991),a12))),
% 12.63/12.69 inference(scs_inference,[],[923,37])).
% 12.63/12.69 cnf(1601,plain,
% 12.63/12.69 (P2(f20(x16011,x16011),f20(f2(x16011),f2(x16011)))),
% 12.63/12.69 inference(scs_inference,[],[73,976,279,923,37,32])).
% 12.63/12.69 cnf(1602,plain,
% 12.63/12.69 (P2(x16021,f2(x16021))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1605,plain,
% 12.63/12.69 (~P1(f20(f16(x16051),a12))),
% 12.63/12.69 inference(scs_inference,[],[81,73,1550,976,279,923,37,32,22])).
% 12.63/12.69 cnf(1608,plain,
% 12.63/12.69 (P5(f6(x16081),f6(x16081),f18(a12,f2(a12)))),
% 12.63/12.69 inference(scs_inference,[],[89,79,81,73,1550,1499,976,279,923,37,32,22,41])).
% 12.63/12.69 cnf(1610,plain,
% 12.63/12.69 (P2(f5(x16101,x16102),f18(x16101,x16102))),
% 12.63/12.69 inference(rename_variables,[],[79])).
% 12.63/12.69 cnf(1614,plain,
% 12.63/12.69 (P2(a12,f2(f6(x16141)))),
% 12.63/12.69 inference(scs_inference,[],[89,99,79,81,73,1602,1550,1499,976,279,923,11,37,32,22,41,30,31])).
% 12.63/12.69 cnf(1615,plain,
% 12.63/12.69 (P2(x16151,f2(x16151))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1619,plain,
% 12.63/12.69 (P2(f7(x16191),a12)),
% 12.63/12.69 inference(scs_inference,[],[89,99,79,81,73,1602,1570,1550,1499,976,279,923,204,11,37,32,22,41,30,31,24,19])).
% 12.63/12.69 cnf(1628,plain,
% 12.63/12.69 (~P1(f17(f9(x16281,x16282),f1(x16283)))),
% 12.63/12.69 inference(scs_inference,[],[89,99,79,1610,81,73,1602,1615,77,1570,1550,1499,815,976,1496,279,1546,923,448,204,11,37,32,22,41,30,31,24,19,42,39,23])).
% 12.63/12.69 cnf(1631,plain,
% 12.63/12.69 (~P4(f2(x16311),f9(x16311,x16312),f1(x16313))),
% 12.63/12.69 inference(scs_inference,[],[1576,37])).
% 12.63/12.69 cnf(1633,plain,
% 12.63/12.69 (~P3(f9(x16331,f1(x16332)),f9(x16333,a12))),
% 12.63/12.69 inference(scs_inference,[],[117,73,1576,794,37,32])).
% 12.63/12.69 cnf(1634,plain,
% 12.63/12.69 (P2(x16341,f2(x16341))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1637,plain,
% 12.63/12.69 (~P2(f5(f1(x16371),f2(a12)),f11(x16372,x16373))),
% 12.63/12.69 inference(scs_inference,[],[117,89,75,73,1576,1614,794,1097,37,32,41])).
% 12.63/12.69 cnf(1646,plain,
% 12.63/12.69 (~P2(f3(x16461,x16462),f2(f7(x16463)))),
% 12.63/12.69 inference(scs_inference,[],[52,117,119,89,75,73,1634,1576,1614,1583,368,794,1097,37,32,41,39,23])).
% 12.63/12.69 cnf(1648,plain,
% 12.63/12.69 (~P2(f1(x16481),f20(f2(x16482),f9(x16482,x16483)))),
% 12.63/12.69 inference(scs_inference,[],[52,117,119,89,81,75,73,1634,1576,1614,1583,368,794,1097,37,32,41,39,23,31])).
% 12.63/12.69 cnf(1651,plain,
% 12.63/12.69 (P2(f20(f2(x16511),f2(x16511)),f20(x16511,x16511))),
% 12.63/12.69 inference(scs_inference,[],[52,117,119,89,81,75,73,1634,1601,1576,1614,1583,368,794,1097,37,32,41,39,23,31,24])).
% 12.63/12.69 cnf(1665,plain,
% 12.63/12.69 (~P3(f9(x16651,x16652),f16(a12))),
% 12.63/12.69 inference(scs_inference,[],[119,73,77,1566,480,22,33])).
% 12.63/12.69 cnf(1672,plain,
% 12.63/12.69 (~P2(f8(x16721),f2(f3(x16722,x16723)))),
% 12.63/12.69 inference(scs_inference,[],[119,79,73,77,1462,1637,1566,480,22,33,31,24])).
% 12.63/12.69 cnf(1692,plain,
% 12.63/12.69 (P4(f18(x16921,x16922),a12,f18(x16921,x16922))),
% 12.63/12.69 inference(scs_inference,[],[79,75,1423,39])).
% 12.63/12.69 cnf(1697,plain,
% 12.63/12.69 (P2(f20(x16971,x16972),f17(x16971,x16972))),
% 12.63/12.69 inference(rename_variables,[],[81])).
% 12.63/12.69 cnf(1699,plain,
% 12.63/12.69 (~P3(f2(f16(x16991)),f9(x16992,a12))),
% 12.63/12.69 inference(scs_inference,[],[79,81,75,73,1423,1628,1566,1381,39,22,34])).
% 12.63/12.69 cnf(1700,plain,
% 12.63/12.69 (P2(x17001,f2(x17001))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1703,plain,
% 12.63/12.69 (P2(f20(f2(x17031),f2(x17031)),f17(x17031,x17031))),
% 12.63/12.69 inference(scs_inference,[],[79,81,1697,75,73,1423,1651,1628,1566,1381,39,22,34,31])).
% 12.63/12.69 cnf(1707,plain,
% 12.63/12.69 (P2(f17(f9(x17071,x17072),a12),f16(x17072))),
% 12.63/12.69 inference(scs_inference,[],[79,81,1697,75,73,1423,1651,1599,1628,1566,1381,39,22,34,31,24])).
% 12.63/12.69 cnf(1709,plain,
% 12.63/12.69 (P3(x17091,f17(f9(x17092,x17091),a12))),
% 12.63/12.69 inference(scs_inference,[],[79,81,1697,75,73,1423,1651,1599,1628,1566,1381,39,22,34,31,24,28])).
% 12.63/12.69 cnf(1711,plain,
% 12.63/12.69 (P3(f2(f8(x17111)),f16(a12))),
% 12.63/12.69 inference(scs_inference,[],[79,81,1697,75,73,1700,1423,1651,1599,1628,1566,768,1381,455,39,22,34,31,24,28,33])).
% 12.63/12.69 cnf(1717,plain,
% 12.63/12.69 (P2(f18(x17171,x17172),f17(f18(x17171,x17172),a12))),
% 12.63/12.69 inference(scs_inference,[],[79,81,1697,75,73,1700,1423,1651,1599,1628,1566,768,1381,455,39,22,34,31,24,28,33,35,37])).
% 12.63/12.69 cnf(1727,plain,
% 12.63/12.69 (~P2(f10(x17271,x17272),f5(x17273,f6(x17273)))),
% 12.63/12.69 inference(scs_inference,[],[73,1055,1707,1665,330,442,28,22,33])).
% 12.63/12.69 cnf(1728,plain,
% 12.63/12.69 (P2(x17281,f2(x17281))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1734,plain,
% 12.63/12.69 (~P2(f1(x17341),f17(x17342,f16(x17343)))),
% 12.63/12.69 inference(scs_inference,[],[81,73,1055,1535,1707,1665,1574,330,442,28,22,33,31,24])).
% 12.63/12.69 cnf(1736,plain,
% 12.63/12.69 (~P4(x17361,f16(x17362),f1(x17363))),
% 12.63/12.69 inference(scs_inference,[],[81,73,1055,1535,1707,1665,1574,330,442,28,22,33,31,24,37])).
% 12.63/12.69 cnf(1740,plain,
% 12.63/12.69 (P2(x17401,f2(x17401))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1742,plain,
% 12.63/12.69 (~P4(f1(x17421),f1(x17421),f1(x17421))+P4(a12,a12,a12)),
% 12.63/12.69 inference(scs_inference,[],[61,81,75,73,1728,1055,1535,1707,1665,1574,1024,330,442,28,22,33,31,24,37,42,39])).
% 12.63/12.69 cnf(1744,plain,
% 12.63/12.69 (~P2(f6(x17441),f17(f9(x17442,x17443),a12))),
% 12.63/12.69 inference(scs_inference,[],[61,81,75,73,1728,1055,1535,1707,1709,1665,1574,1024,330,442,2,28,22,33,31,24,37,42,39,30])).
% 12.63/12.69 cnf(1746,plain,
% 12.63/12.69 (P3(f8(x17461),f9(x17462,a12))),
% 12.63/12.69 inference(scs_inference,[],[61,81,77,75,73,1728,1740,1055,1535,1707,1709,1665,1711,1574,1024,330,442,2,28,22,33,31,24,37,42,39,30,34])).
% 12.63/12.69 cnf(1750,plain,
% 12.63/12.69 (P2(f9(x17501,a12),f16(f8(x17502)))),
% 12.63/12.69 inference(scs_inference,[],[1746,27])).
% 12.63/12.69 cnf(1752,plain,
% 12.63/12.69 (~P2(f20(a12,f1(a12)),f3(x17521,x17522))),
% 12.63/12.69 inference(scs_inference,[],[119,1746,1034,27,22])).
% 12.63/12.69 cnf(1754,plain,
% 12.63/12.69 (~P1(f20(f9(x17541,x17542),a12))),
% 12.63/12.69 inference(scs_inference,[],[119,81,1746,1709,1034,27,22,30])).
% 12.63/12.69 cnf(1764,plain,
% 12.63/12.69 (P2(f17(x17641,x17641),f20(f2(x17641),f2(x17641)))),
% 12.63/12.69 inference(scs_inference,[],[119,81,77,1703,1044,1572,1746,928,1709,1034,27,22,30,34,31,24])).
% 12.63/12.69 cnf(1778,plain,
% 12.63/12.69 (P2(f2(f20(x17781,x17782)),f17(x17781,x17782))),
% 12.63/12.69 inference(scs_inference,[],[73,1145,442,32])).
% 12.63/12.69 cnf(1780,plain,
% 12.63/12.69 (P2(x17801,f2(x17801))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1782,plain,
% 12.63/12.69 (P2(f17(x17821,x17821),f17(f2(x17821),f2(x17821)))),
% 12.63/12.69 inference(scs_inference,[],[81,73,1764,1145,442,32,31])).
% 12.63/12.69 cnf(1783,plain,
% 12.63/12.69 (P2(f20(x17831,x17832),f17(x17831,x17832))),
% 12.63/12.69 inference(rename_variables,[],[81])).
% 12.63/12.69 cnf(1787,plain,
% 12.63/12.69 (~P5(f17(x17871,x17872),f2(a12),f2(f9(x17873,x17874)))),
% 12.63/12.69 inference(scs_inference,[],[81,1783,73,1780,1764,1727,1272,1145,1496,442,32,31,24,42])).
% 12.63/12.69 cnf(1797,plain,
% 12.63/12.69 (~P3(f3(x17971,x17972),f9(x17973,f1(x17974)))),
% 12.63/12.69 inference(scs_inference,[],[122,73,326,32])).
% 12.63/12.69 cnf(1801,plain,
% 12.63/12.69 (~P2(f3(x18011,x18012),f2(f8(x18013)))),
% 12.63/12.69 inference(scs_inference,[],[122,119,73,326,712,32,23])).
% 12.63/12.69 cnf(1803,plain,
% 12.63/12.69 (~P2(f1(x18031),f20(x18032,f16(x18033)))),
% 12.63/12.69 inference(scs_inference,[],[122,119,81,73,1734,326,712,32,23,31])).
% 12.63/12.69 cnf(1806,plain,
% 12.63/12.69 (P2(f17(f2(x18061),f2(x18061)),f17(x18061,x18061))),
% 12.63/12.69 inference(scs_inference,[],[122,119,81,73,1782,1734,326,712,32,23,31,24])).
% 12.63/12.69 cnf(1816,plain,
% 12.63/12.69 (~P2(f2(f6(x18161)),f3(x18162,x18163))),
% 12.63/12.69 inference(scs_inference,[],[119,1037,179,28,22])).
% 12.63/12.69 cnf(1818,plain,
% 12.63/12.69 (~P3(f16(x18181),f17(f9(x18182,a12),f1(x18183)))),
% 12.63/12.69 inference(scs_inference,[],[73,119,1699,1037,1583,179,28,22,33])).
% 12.63/12.69 cnf(1820,plain,
% 12.63/12.69 (P2(x18201,f2(x18201))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1824,plain,
% 12.63/12.69 (P2(x18241,f2(x18241))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1826,plain,
% 12.63/12.69 (~P2(f9(x18261,x18262),f1(x18263))),
% 12.63/12.69 inference(scs_inference,[],[73,1820,119,1539,1699,472,1037,1583,179,28,22,33,31,24])).
% 12.63/12.69 cnf(1830,plain,
% 12.63/12.69 (P5(f2(x18301),f2(x18301),f18(x18301,f2(x18301)))),
% 12.63/12.69 inference(scs_inference,[],[73,1820,1824,89,119,79,1539,1699,472,1037,1583,1448,179,28,22,33,31,24,42,41])).
% 12.63/12.69 cnf(1836,plain,
% 12.63/12.69 (~P2(f16(x18361),f8(f1(x18362)))),
% 12.63/12.69 inference(scs_inference,[],[73,128,912,1448,42])).
% 12.63/12.69 cnf(1838,plain,
% 12.63/12.69 (P2(x18381,f2(x18381))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1842,plain,
% 12.63/12.69 (P3(f8(x18421),f2(f16(a12)))),
% 12.63/12.69 inference(scs_inference,[],[73,1838,128,1711,912,1448,5,42,33])).
% 12.63/12.69 cnf(1843,plain,
% 12.63/12.69 (P2(f2(x18431),x18431)),
% 12.63/12.69 inference(rename_variables,[],[5])).
% 12.63/12.69 cnf(1844,plain,
% 12.63/12.69 (P2(x18441,f2(x18441))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1846,plain,
% 12.63/12.69 (P2(f2(f8(x18461)),f2(a12))),
% 12.63/12.69 inference(scs_inference,[],[73,1838,1844,128,1053,1711,912,1448,5,42,33,31])).
% 12.63/12.69 cnf(1847,plain,
% 12.63/12.69 (P2(x18471,f2(x18471))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1849,plain,
% 12.63/12.69 (P2(f17(x18491,x18492),f2(f20(x18491,x18492)))),
% 12.63/12.69 inference(scs_inference,[],[73,1838,1844,128,1778,1053,1711,912,1448,5,42,33,31,24])).
% 12.63/12.69 cnf(1855,plain,
% 12.63/12.69 (P3(f2(f1(x18551)),f9(x18552,a12))),
% 12.63/12.69 inference(scs_inference,[],[73,1838,1844,1847,128,1754,1778,1053,1711,912,794,1448,5,1843,42,33,31,24,20,41,34])).
% 12.63/12.69 cnf(1857,plain,
% 12.63/12.69 (P2(x18571,f2(x18571))),
% 12.63/12.69 inference(rename_variables,[],[73])).
% 12.63/12.69 cnf(1859,plain,
% 12.63/12.69 (~P4(f2(f2(x18591)),f16(x18592),a12)),
% 12.63/12.69 inference(scs_inference,[],[73,1838,1844,1847,1857,128,75,77,1754,1778,1053,1711,1631,912,794,1448,5,1843,42,33,31,24,20,41,34,40])).
% 12.63/12.69 cnf(1871,plain,
% 12.63/12.69 (P5(f1(x18711),a12,f2(f7(a12)))),
% 12.63/12.69 inference(scs_inference,[],[75,128,1614,928,42])).
% 12.63/12.69 cnf(1880,plain,
% 12.63/12.69 (P2(f1(x18801),a12)),
% 12.63/12.69 inference(rename_variables,[],[75])).
% 12.63/12.69 cnf(1882,plain,
% 12.63/12.69 (P2(f9(x18821,x18822),f16(x18822))),
% 12.63/12.69 inference(rename_variables,[],[77])).
% 12.63/12.69 cnf(1885,plain,
% 12.63/12.69 (P2(f20(x18851,x18852),f17(x18851,x18852))),
% 12.63/12.69 inference(rename_variables,[],[81])).
% 12.63/12.69 cnf(1888,plain,
% 12.63/12.69 (~P2(f17(f2(x18881),f9(x18881,x18882)),f8(x18883))),
% 12.63/12.69 inference(scs_inference,[],[75,128,81,77,1882,1818,1304,1842,1750,165,1614,928,154,5,46,42,30,39,33,34])).
% 12.63/12.69 cnf(1897,plain,
% 12.63/12.69 (P2(f10(a12,x18971),f17(a12,f16(x18971)))),
% 12.63/12.69 inference(scs_inference,[],[75,144,128,81,1885,77,1882,1818,1304,1842,1750,165,1744,1614,928,154,5,46,42,30,39,33,34,31,24,37])).
% 12.63/12.69 cnf(1905,plain,
% 12.63/12.69 (~P2(f17(a12,f1(a12)),f3(x19051,x19052))),
% 12.63/12.69 inference(scs_inference,[],[75,1880,144,128,119,81,1885,77,1882,1818,1304,1842,1750,165,1744,1703,1614,928,1272,1583,535,1499,154,5,46,42,30,39,33,34,31,24,37,41,23,22])).
% 12.63/12.69 cnf(1911,plain,
% 12.63/12.69 (P4(f1(x19111),f1(x19111),f20(a12,f2(a12)))),
% 12.63/12.69 inference(scs_inference,[],[75,94,4,40])).
% 12.63/12.69 cnf(1913,plain,
% 12.63/12.69 (P4(x19131,x19132,f20(x19131,f2(x19132)))),
% 12.63/12.69 inference(rename_variables,[],[94])).
% 12.63/12.69 cnf(1924,plain,
% 12.63/12.69 (P3(f8(x19241),f9(x19242,a12))),
% 12.63/12.69 inference(rename_variables,[],[1746])).
% 12.63/12.69 cnf(1925,plain,
% 12.63/12.69 (~P3(f7(x19251),f11(f11(x19252,x19253),f11(x19252,x19253)))),
% 12.63/12.69 inference(rename_variables,[],[1007])).
% 12.63/12.69 cnf(1935,plain,
% 12.63/12.69 (P2(f17(a12,f16(x19351)),f10(a12,x19351))),
% 12.63/12.69 inference(scs_inference,[],[75,144,94,1913,79,81,77,994,1007,1925,1897,1746,1924,1499,297,6,4,40,42,39,33,34,31,24])).
% 12.63/12.69 cnf(1945,plain,
% 12.63/12.69 (~P5(f16(x19451),a12,f16(x19451))),
% 12.63/12.69 inference(scs_inference,[],[77,1467,1272,42])).
% 12.63/12.69 cnf(1946,plain,
% 12.63/12.69 (P2(f9(x19461,x19462),f16(x19462))),
% 12.63/12.69 inference(rename_variables,[],[77])).
% 12.63/12.69 cnf(1950,plain,
% 12.63/12.69 (P5(f1(x19501),f1(x19501),f18(a12,f2(a12)))),
% 12.63/12.69 inference(scs_inference,[],[77,89,79,1467,1272,844,42,41])).
% 12.63/12.69 cnf(1952,plain,
% 12.63/12.69 (P2(f5(x19521,x19522),f18(x19521,x19522))),
% 12.63/12.69 inference(rename_variables,[],[79])).
% 12.63/12.69 cnf(1954,plain,
% 12.63/12.69 (P4(f18(x19541,x19542),f2(f2(a12)),f18(x19541,x19542))),
% 12.63/12.69 inference(scs_inference,[],[77,89,79,1952,1287,1423,1467,1272,844,42,41,39])).
% 12.63/12.69 cnf(1958,plain,
% 12.63/12.69 (~P3(f9(x19581,x19582),f2(f16(a12)))),
% 12.63/12.69 inference(scs_inference,[],[77,89,79,1952,1287,1423,1699,1180,1381,1467,1272,844,42,41,39,33])).
% 12.63/12.69 cnf(1962,plain,
% 12.63/12.69 (~P3(f16(x19621),f16(f1(x19622)))),
% 12.63/12.69 inference(scs_inference,[],[77,1946,89,79,1952,1797,1287,1423,1699,1180,1381,1467,1272,291,844,42,41,39,33,34])).
% 12.63/12.69 cnf(1966,plain,
% 12.63/12.69 (P2(f5(x19661,x19662),f17(f18(x19661,x19662),a12))),
% 12.63/12.69 inference(scs_inference,[],[77,1946,89,79,1952,1797,1287,1423,1699,1717,1180,1381,1467,1272,291,844,42,41,39,33,34,31])).
% 12.63/12.69 cnf(1971,plain,
% 12.63/12.69 (~P2(f16(x19711),f18(f16(x19711),a12))),
% 12.63/12.69 inference(scs_inference,[],[77,1946,89,79,1952,1888,1797,1287,1423,1699,1717,1180,1381,1467,1272,291,844,42,41,39,33,34,31,24,36])).
% 12.63/12.69 cnf(1975,plain,
% 12.63/12.69 (~P4(f2(x19751),f9(x19751,x19752),f8(x19753))),
% 12.63/12.69 inference(scs_inference,[],[77,1946,89,79,1952,1888,1797,1287,1423,1699,648,1717,1180,1381,1467,1272,291,844,42,41,39,33,34,31,24,36,28,37])).
% 12.63/12.69 cnf(1977,plain,
% 12.63/12.69 (~P5(f16(x19771),f2(a12),f16(x19771))),
% 12.63/12.69 inference(scs_inference,[],[77,1496,1272,42])).
% 12.63/12.69 cnf(1978,plain,
% 12.63/12.69 (P2(f9(x19781,x19782),f16(x19782))),
% 12.63/12.69 inference(rename_variables,[],[77])).
% 12.63/12.69 cnf(1987,plain,
% 12.63/12.69 (~P4(f1(x19871),f9(x19872,x19873),f5(x19874,f6(x19874)))),
% 12.63/12.69 inference(scs_inference,[],[77,1978,1859,1871,891,815,1287,1496,1272,1499,42,41,39])).
% 12.63/12.69 cnf(1988,plain,
% 12.63/12.69 (P2(f9(x19881,x19882),f16(x19882))),
% 12.63/12.69 inference(rename_variables,[],[77])).
% 12.63/12.69 cnf(1993,plain,
% 12.63/12.69 (P3(x19931,f2(f16(x19931)))),
% 12.63/12.69 inference(rename_variables,[],[148])).
% 12.63/12.69 cnf(2002,plain,
% 12.63/12.69 (P2(f17(f18(x20021,x20022),a12),f5(x20021,x20022))),
% 12.63/12.69 inference(scs_inference,[],[77,1978,1988,148,1993,79,1966,1971,1859,1871,891,815,1287,1496,1272,1499,5,73,42,41,39,33,34,31,24])).
% 12.63/12.69 cnf(2009,plain,
% 12.63/12.69 (~P5(x20091,f6(x20091),f16(x20092))),
% 12.63/12.69 inference(rename_variables,[],[912])).
% 12.63/12.69 cnf(2013,plain,
% 12.63/12.69 (~P5(f4(x20131,x20132),a12,f16(a12))),
% 12.63/12.69 inference(scs_inference,[],[79,89,104,1564,912,2009,1467,1499,42,41])).
% 12.63/12.69 cnf(2037,plain,
% 12.63/12.69 (~P2(f6(x20371),f2(f16(x20372)))),
% 12.63/12.69 inference(scs_inference,[],[148,2,30])).
% 12.63/12.69 cnf(2039,plain,
% 12.63/12.69 (~P2(f3(x20391,x20392),f2(f6(x20393)))),
% 12.63/12.69 inference(scs_inference,[],[148,119,179,2,30,23])).
% 12.63/12.69 cnf(2041,plain,
% 12.63/12.69 (~P5(f9(x20411,a12),f2(f8(x20412)),f9(x20411,a12))),
% 12.63/12.69 inference(scs_inference,[],[148,119,1977,1846,1750,179,2,30,23,41])).
% 12.63/12.69 cnf(2044,plain,
% 12.63/12.69 (P2(f17(f18(x20441,x20442),a12),f18(x20441,x20442))),
% 12.63/12.69 inference(scs_inference,[],[79,148,119,2002,1977,1846,1750,179,2,30,23,41,31])).
% 12.63/12.69 cnf(2047,plain,
% 12.63/12.69 (P2(f11(x20471,x20472),f2(f10(x20471,x20472)))),
% 12.63/12.69 inference(scs_inference,[],[79,148,151,119,2002,1977,1846,1750,179,2,30,23,41,31,24])).
% 12.63/12.69 cnf(2051,plain,
% 12.63/12.69 (P4(x20511,x20512,f2(f20(x20511,x20512)))),
% 12.63/12.69 inference(scs_inference,[],[79,148,151,119,2002,1977,1846,1778,1750,179,2,30,23,41,31,24,36,35])).
% 12.63/12.69 cnf(2057,plain,
% 12.63/12.69 (P5(f1(x20571),f1(x20571),f5(a12,f2(a12)))),
% 12.63/12.69 inference(scs_inference,[],[79,140,148,151,119,1950,2002,1977,1846,1778,1750,368,179,1448,2,30,23,41,31,24,36,35,32,22,42])).
% 12.63/12.69 cnf(2061,plain,
% 12.63/12.69 (P4(a12,a12,f17(f7(x20611),f7(x20611)))),
% 12.63/12.69 inference(scs_inference,[],[79,140,148,151,119,81,212,1950,2002,1977,1846,1778,1750,368,246,179,1448,2,30,23,41,31,24,36,35,32,22,42,39])).
% 12.63/12.69 cnf(2067,plain,
% 12.63/12.69 (~P2(f1(x20671),f17(f9(x20672,x20673),a12))),
% 12.63/12.69 inference(scs_inference,[],[107,2013,1707,36,31])).
% 12.63/12.69 cnf(2070,plain,
% 12.63/12.69 (~P2(f3(x20701,x20702),f20(a12,f1(a12)))),
% 12.63/12.69 inference(scs_inference,[],[107,1752,2013,1707,36,31,24])).
% 12.63/12.69 cnf(2072,plain,
% 12.63/12.69 (P2(f17(f7(x20721),f7(x20721)),f17(a12,a12))),
% 12.63/12.69 inference(scs_inference,[],[107,1752,2013,2061,1707,36,31,24,37])).
% 12.63/12.69 cnf(2083,plain,
% 12.63/12.69 (~P5(f2(f2(a12)),a12,f11(x20831,x20832))),
% 12.63/12.69 inference(scs_inference,[],[151,2067,1522,1287,5,37,42])).
% 12.63/12.69 cnf(2085,plain,
% 12.63/12.69 (P2(f2(f10(x20851,x20852)),f11(x20851,x20852))),
% 12.63/12.69 inference(rename_variables,[],[151])).
% 12.63/12.69 cnf(2091,plain,
% 12.63/12.69 (P2(f17(a12,a12),f17(f7(x20911),f7(x20911)))),
% 12.63/12.69 inference(scs_inference,[],[151,1465,2072,2067,758,1522,1287,5,37,42,31,24])).
% 12.63/12.69 cnf(2103,plain,
% 12.63/12.69 (P1(f17(a12,a12))+~P1(f17(f7(x21031),f7(x21031)))),
% 12.63/12.69 inference(scs_inference,[],[113,154,151,2085,1465,2072,2067,1975,1605,758,1522,1236,236,1287,297,442,5,37,42,31,24,20,40,39,43,22])).
% 12.63/12.69 cnf(2112,plain,
% 12.63/12.69 (~P5(f2(a12),f17(a12,f1(a12)),f11(x21121,x21122))),
% 12.63/12.69 inference(scs_inference,[],[157,154,151,1977,527,1522,833,36,22,42])).
% 12.63/12.69 cnf(2113,plain,
% 12.63/12.69 (P2(f2(f10(x21131,x21132)),f11(x21131,x21132))),
% 12.63/12.69 inference(rename_variables,[],[151])).
% 12.63/12.69 cnf(2117,plain,
% 12.63/12.69 (P5(f11(x21171,x21172),a12,a12)),
% 12.63/12.69 inference(scs_inference,[],[128,157,154,151,2113,1977,527,1522,1189,833,246,36,22,42,41])).
% 12.63/12.69 cnf(2122,plain,
% 12.63/12.69 (P2(f7(x21221),f2(f6(x21222)))),
% 12.63/12.69 inference(scs_inference,[],[128,157,154,151,2113,1977,527,1522,1614,1189,1619,833,246,36,22,42,41,31])).
% 12.63/12.69 cnf(2134,plain,
% 12.63/12.69 (P2(a12,f18(f11(x21341,x21342),a12))),
% 12.63/12.69 inference(scs_inference,[],[2117,38])).
% 12.63/12.69 cnf(2142,plain,
% 12.63/12.69 (~P3(f16(a12),f9(x21421,a12))),
% 12.63/12.69 inference(scs_inference,[],[157,154,1962,2057,2083,2117,948,1298,1287,75,38,23,41,33])).
% 12.63/12.69 cnf(2145,plain,
% 12.63/12.69 (~P2(f3(x21451,x21452),f7(x21453))),
% 12.63/12.69 inference(scs_inference,[],[157,154,1962,2039,2122,2057,2083,2117,948,1298,1287,75,38,23,41,33,31])).
% 12.63/12.69 cnf(2146,plain,
% 12.63/12.69 (P2(f7(x21461),f2(f6(x21462)))),
% 12.63/12.69 inference(rename_variables,[],[2122])).
% 12.63/12.69 cnf(2148,plain,
% 12.63/12.69 (P2(f2(f6(x21481)),f7(x21482))),
% 12.63/12.69 inference(scs_inference,[],[157,154,1962,2039,2122,2146,2057,2083,2117,948,1298,1287,75,38,23,41,33,31,24])).
% 12.63/12.69 cnf(2150,plain,
% 12.63/12.69 (P4(f7(x21501),f7(x21501),f17(a12,a12))),
% 12.63/12.69 inference(scs_inference,[],[157,154,1962,2039,2122,2146,2057,2083,2117,2091,948,1298,1287,75,38,23,41,33,31,24,35])).
% 12.63/12.69 cnf(2159,plain,
% 12.63/12.69 (P1(f18(f11(x21591,x21592),a12))),
% 12.63/12.69 inference(scs_inference,[],[148,154,2134,44,30,22])).
% 12.63/12.69 cnf(2161,plain,
% 12.63/12.69 (~P5(f16(a12),f20(a12,f1(a12)),f16(a12))),
% 12.63/12.69 inference(scs_inference,[],[148,154,1945,2134,1347,1564,44,30,22,41])).
% 12.63/12.69 cnf(2168,plain,
% 12.63/12.69 (~P2(f20(a12,f16(a12)),f16(a12))),
% 12.63/12.69 inference(scs_inference,[],[148,154,151,1312,1945,2134,2051,1087,1347,1778,279,1564,44,30,22,41,39,33])).
% 12.63/12.69 cnf(2169,plain,
% 12.63/12.69 (P2(f2(f10(x21691,x21692)),f11(x21691,x21692))),
% 12.63/12.69 inference(rename_variables,[],[151])).
% 12.63/12.69 cnf(2172,plain,
% 12.63/12.69 (~P2(f16(x21721),f2(f7(x21722)))),
% 12.63/12.69 inference(scs_inference,[],[148,154,151,1646,1312,1945,2134,2051,1087,1347,1778,279,1564,291,44,30,22,41,39,33,31])).
% 12.63/12.69 cnf(2177,plain,
% 12.63/12.69 (P2(f18(f11(x21771,x21772),a12),a12)),
% 12.63/12.69 inference(scs_inference,[],[148,154,151,1646,1803,1312,1945,2134,2051,1087,1347,1778,279,1564,291,44,30,22,41,39,33,31,24,19])).
% 12.63/12.69 cnf(2189,plain,
% 12.63/12.69 (P4(a12,f1(x21891),a12)),
% 12.63/12.69 inference(scs_inference,[],[128,148,154,151,2169,1646,1803,1954,1312,1945,2142,2134,2051,2122,299,1087,1347,1778,279,1564,928,1619,1287,291,44,30,22,41,39,33,31,24,19,28,42,34,40])).
% 12.63/12.69 cnf(2192,plain,
% 12.63/12.69 (~P3(a12,f20(a12,f16(a12)))),
% 12.63/12.69 inference(scs_inference,[],[2168,27])).
% 12.63/12.69 cnf(2196,plain,
% 12.63/12.69 (P3(f2(f20(x21961,x21962)),f11(x21961,x21962))),
% 12.63/12.69 inference(scs_inference,[],[157,151,2159,2168,1849,1145,27,22,33])).
% 12.63/12.69 cnf(2200,plain,
% 12.63/12.69 (P2(f5(f11(x22001,x22002),f2(a12)),a12)),
% 12.63/12.69 inference(scs_inference,[],[157,151,2159,2168,2177,1849,800,1145,27,22,33,31])).
% 12.63/12.69 cnf(2203,plain,
% 12.63/12.69 (P2(f2(a12),f2(f8(x22031)))),
% 12.63/12.69 inference(scs_inference,[],[157,151,2159,2168,2177,1849,1846,800,1145,27,22,33,31,24])).
% 12.63/12.69 cnf(2207,plain,
% 12.63/12.69 (P2(a12,f17(a12,f1(x22071)))),
% 12.63/12.69 inference(scs_inference,[],[157,151,2159,2168,2177,2189,1849,1846,1550,800,1145,27,22,33,31,24,20,37])).
% 12.63/12.69 cnf(2222,plain,
% 12.63/12.69 (P1(f5(f11(x22221,x22222),f2(a12)))),
% 12.63/12.69 inference(scs_inference,[],[2200,20])).
% 12.63/12.69 cnf(2224,plain,
% 12.63/12.69 (P1(f5(f11(x22241,x22242),a12))),
% 12.63/12.69 inference(scs_inference,[],[2200,2159,79,20,23])).
% 12.63/12.69 cnf(2230,plain,
% 12.63/12.69 (P4(a12,f17(a12,f1(x22301)),a12)),
% 12.63/12.69 inference(scs_inference,[],[2200,2207,1692,2159,1945,2177,948,79,20,23,41,39])).
% 12.63/12.69 cnf(2233,plain,
% 12.63/12.69 (~P2(f11(x22331,x22332),f2(f2(a12)))),
% 12.63/12.69 inference(scs_inference,[],[2196,2200,2207,734,1692,2159,1945,2177,527,948,79,20,23,41,39,33])).
% 12.63/12.69 cnf(2235,plain,
% 12.63/12.69 (~P3(x22351,f2(f2(a12)))),
% 12.63/12.69 inference(rename_variables,[],[734])).
% 12.63/12.69 cnf(2246,plain,
% 12.63/12.69 (~P4(a12,f1(a12),f3(x22461,x22462))),
% 12.63/12.69 inference(scs_inference,[],[2196,1905,2203,2200,2207,734,2235,1692,1801,2159,1945,2177,1849,527,948,79,20,23,41,39,33,34,31,24,37])).
% 12.63/12.69 cnf(2248,plain,
% 12.63/12.69 (~P3(f10(x22481,x22482),f2(f16(a12)))),
% 12.63/12.69 inference(scs_inference,[],[2196,1490,1905,2203,2200,2207,734,2235,1692,1801,2159,1945,2177,1849,1855,1180,527,948,79,20,23,41,39,33,34,31,24,37,32])).
% 12.63/12.69 cnf(2258,plain,
% 12.63/12.69 (~P2(f5(f8(x22581),f8(x22581)),f11(x22582,x22583))),
% 12.63/12.69 inference(scs_inference,[],[154,451,1296,2122,1363,1097,1619,20,23,41])).
% 12.63/12.69 cnf(2262,plain,
% 12.63/12.69 (~P3(f17(a12,f16(x22621)),f9(x22622,a12))),
% 12.63/12.69 inference(scs_inference,[],[154,451,2248,1935,1296,2122,1363,1180,1097,1619,20,23,41,33])).
% 12.63/12.69 cnf(2267,plain,
% 12.63/12.69 (~P2(f7(x22671),f2(f3(x22672,x22673)))),
% 12.63/12.69 inference(scs_inference,[],[154,451,1672,2248,1935,1296,2122,1363,1180,1097,1619,297,20,23,41,33,31])).
% 12.63/12.69 cnf(2270,plain,
% 12.63/12.69 (P2(f17(a12,f1(x22701)),a12)),
% 12.63/12.69 inference(scs_inference,[],[154,451,1672,2248,1935,1296,2207,2122,1363,1180,1097,1619,297,20,23,41,33,31,24])).
% 12.63/12.69 cnf(2272,plain,
% 12.63/12.69 (P4(f18(x22721,x22722),a12,f5(x22721,x22722))),
% 12.63/12.69 inference(scs_inference,[],[154,451,1672,2248,1935,1296,2207,2122,1966,1363,1180,1097,1619,297,20,23,41,33,31,24,35])).
% 12.63/12.69 cnf(2276,plain,
% 12.63/12.69 (~P3(x22761,f17(a12,f1(x22762)))),
% 12.63/12.69 inference(scs_inference,[],[104,138,154,451,1672,2248,1935,1296,2207,2122,1966,1363,1180,1097,1619,297,44,20,23,41,33,31,24,35,32,30])).
% 12.63/12.69 cnf(2278,plain,
% 12.63/12.69 (P5(f2(f10(x22781,x22782)),f6(x22783),f6(x22783))),
% 12.63/12.69 inference(scs_inference,[],[104,138,154,151,451,1672,2248,1935,1296,2207,2117,2122,1966,1363,1180,1097,1467,1619,297,44,20,23,41,33,31,24,35,32,30,42])).
% 12.63/12.69 cnf(2283,plain,
% 12.63/12.69 (P1(f17(a12,f1(x22831)))),
% 12.63/12.69 inference(scs_inference,[],[2270,20])).
% 12.63/12.69 cnf(2287,plain,
% 12.63/12.69 (~P5(f2(f8(x22871)),a12,f10(x22872,x22873))),
% 12.63/12.69 inference(scs_inference,[],[172,154,2112,2270,2203,1373,20,30,42])).
% 12.63/12.69 cnf(2288,plain,
% 12.63/12.69 (P2(f11(x22881,x22882),f10(x22881,x22882))),
% 12.63/12.69 inference(rename_variables,[],[172])).
% 12.63/12.69 cnf(2292,plain,
% 12.63/12.69 (P2(f2(f6(x22921)),f7(x22922))),
% 12.63/12.69 inference(rename_variables,[],[2148])).
% 12.63/12.69 cnf(2296,plain,
% 12.63/12.69 (~P2(a12,f17(a12,f16(x22961)))),
% 12.63/12.69 inference(scs_inference,[],[128,148,172,2288,154,2112,2262,2270,2148,2203,1373,1381,246,20,30,42,41,33])).
% 12.63/12.69 cnf(2301,plain,
% 12.63/12.69 (~P2(f17(f11(x23011,x23012),f11(x23011,x23012)),f1(x23013))),
% 12.63/12.69 inference(scs_inference,[],[128,148,172,2288,154,560,2112,2262,2270,2148,1736,2203,1373,1381,615,246,20,30,42,41,33,39])).
% 12.63/12.69 cnf(2305,plain,
% 12.63/12.69 (P2(f7(x23051),f7(x23052))),
% 12.63/12.69 inference(scs_inference,[],[128,148,172,2288,154,560,2112,2262,2270,2148,2292,1736,2203,1373,2122,1381,615,246,20,30,42,41,33,39,31])).
% 12.63/12.69 cnf(2308,plain,
% 12.63/12.69 (~P2(f11(x23081,x23082),f5(f8(x23083),f8(x23083)))),
% 12.63/12.69 inference(scs_inference,[],[128,148,172,2288,154,560,2258,2112,2262,2270,2148,2292,1736,2203,1373,2122,1381,615,246,20,30,42,41,33,39,31,24])).
% 12.63/12.69 cnf(2310,plain,
% 12.63/12.69 (P2(f5(f11(x23101,x23102),a12),a12)),
% 12.63/12.69 inference(scs_inference,[],[128,148,172,2288,154,560,2258,2112,2224,2262,2270,2148,2292,1736,2203,1373,2122,1381,615,246,20,30,42,41,33,39,31,24,19])).
% 12.63/12.69 cnf(2312,plain,
% 12.63/12.69 (~P2(f17(a12,f1(x23121)),f16(x23122))),
% 12.63/12.69 inference(scs_inference,[],[128,148,172,2288,154,560,2258,2276,2112,2224,2262,2270,2148,2292,1736,2203,1373,2122,1381,615,246,20,30,42,41,33,39,31,24,19,28])).
% 12.63/12.69 cnf(2314,plain,
% 12.63/12.69 (~P4(x23141,f16(x23142),f2(a12))),
% 12.63/12.69 inference(scs_inference,[],[128,148,172,2288,154,560,2258,2276,2112,2224,2262,2270,2148,2292,1736,2203,1373,2122,1381,615,246,20,30,42,41,33,39,31,24,19,28,37])).
% 12.63/12.69 cnf(2316,plain,
% 12.63/12.69 (~P4(f10(x23161,x23162),f17(f9(x23163,x23164),a12),a12)),
% 12.63/12.69 inference(scs_inference,[],[128,148,172,2288,154,560,2258,2276,2112,2224,2262,2270,2148,2292,1736,2203,1373,1599,641,2122,1381,615,246,5,20,30,42,41,33,39,31,24,19,28,37,40])).
% 12.63/12.69 cnf(2321,plain,
% 12.63/12.69 (P2(a12,f18(f10(x23211,x23212),f7(x23213)))),
% 12.63/12.69 inference(scs_inference,[],[128,148,172,2288,154,560,2258,2276,2112,2224,2262,2270,2148,2292,1736,2203,1373,1599,641,2122,1381,615,246,5,20,30,42,41,33,39,31,24,19,28,37,40,38])).
% 12.63/12.69 cnf(2325,plain,
% 12.63/12.69 (~P3(x23251,f18(f10(x23252,x23253),f7(x23254)))),
% 12.63/12.69 inference(scs_inference,[],[2321,1279,44,20,30])).
% 12.63/12.69 cnf(2330,plain,
% 12.63/12.69 (P2(f3(x23301,x23302),f16(x23302))),
% 12.63/12.69 inference(rename_variables,[],[291])).
% 12.63/12.69 cnf(2332,plain,
% 12.63/12.69 (P3(f17(x23321,x23322),f10(x23321,x23322))),
% 12.63/12.69 inference(scs_inference,[],[160,172,2321,2196,1279,1778,416,1287,291,44,20,30,41,33])).
% 12.63/12.69 cnf(2333,plain,
% 12.63/12.69 (P2(f11(x23331,x23332),f10(x23331,x23332))),
% 12.63/12.69 inference(rename_variables,[],[172])).
% 12.63/12.69 cnf(2342,plain,
% 12.63/12.69 (P2(f18(f10(x23421,x23422),f7(x23423)),a12)),
% 12.63/12.69 inference(scs_inference,[],[140,160,172,2305,2150,2321,2310,2196,1849,1279,1778,416,1287,291,44,20,30,41,33,39,31,24])).
% 12.63/12.69 cnf(2344,plain,
% 12.63/12.69 (P1(f18(f10(x23441,x23442),f7(x23443)))),
% 12.63/12.69 inference(scs_inference,[],[140,160,172,2305,2150,2321,2310,2196,1849,1279,1778,416,1287,291,44,20,30,41,33,39,31,24,22])).
% 12.63/12.69 cnf(2350,plain,
% 12.63/12.69 (P2(f10(x23501,x23502),f16(f17(x23501,x23502)))),
% 12.63/12.69 inference(scs_inference,[],[140,160,172,668,2305,2150,2041,2321,2310,1053,2196,1849,1279,1778,416,1287,291,44,20,30,41,33,39,31,24,22,42,27])).
% 12.63/12.69 cnf(2352,plain,
% 12.63/12.69 (~P3(f16(a12),f10(a12,f3(x23521,a12)))),
% 12.63/12.69 inference(scs_inference,[],[140,160,172,2333,668,2305,2150,2041,509,2321,2310,1053,2196,1849,1279,1778,416,1287,291,2330,44,20,30,41,33,39,31,24,22,42,27,34])).
% 12.63/12.69 cnf(2359,plain,
% 12.63/12.69 (~P3(x23591,f18(f11(x23592,x23593),a12))),
% 12.63/12.69 inference(scs_inference,[],[154,2222,1754,800,22,30])).
% 12.63/12.69 cnf(2362,plain,
% 12.63/12.69 (~P5(f10(x23621,x23622),f2(a12),f10(x23621,x23622))),
% 12.63/12.69 inference(scs_inference,[],[172,154,2222,1754,815,800,1496,22,30,42])).
% 12.63/12.69 cnf(2372,plain,
% 12.63/12.69 (P3(f2(f17(x23721,x23722)),f11(x23721,x23722))),
% 12.63/12.69 inference(scs_inference,[],[172,154,2332,2325,2222,1754,1402,289,1855,815,800,1496,5,22,30,42,41,33,34])).
% 12.63/12.69 cnf(2374,plain,
% 12.63/12.69 (P2(f11(x23741,x23742),f10(x23741,x23742))),
% 12.63/12.69 inference(rename_variables,[],[172])).
% 12.63/12.69 cnf(2376,plain,
% 12.63/12.69 (~P2(f10(x23761,x23762),f5(f8(x23763),f8(x23763)))),
% 12.63/12.69 inference(scs_inference,[],[172,2374,154,2332,2308,2325,2222,1754,1402,289,1855,815,800,1496,5,22,30,42,41,33,34,31])).
% 12.63/12.69 cnf(2379,plain,
% 12.63/12.69 (~P2(f1(x23791),f17(f11(x23792,x23793),f11(x23792,x23793)))),
% 12.63/12.69 inference(scs_inference,[],[172,2374,154,2332,2301,2308,2325,2222,1754,1402,289,1855,815,800,1496,5,22,30,42,41,33,34,31,24])).
% 12.63/12.69 cnf(2383,plain,
% 12.63/12.69 (~P5(f10(x23831,x23832),f7(x23833),f9(x23834,a12))),
% 12.63/12.69 inference(scs_inference,[],[172,2374,154,2332,2301,2308,2325,2222,1754,1402,289,1855,815,800,1496,5,22,30,42,41,33,34,31,24,36,38])).
% 12.63/12.69 cnf(2395,plain,
% 12.63/12.69 (~P5(f11(x23951,x23952),f2(f7(x23953)),f11(x23951,x23952))),
% 12.63/12.69 inference(scs_inference,[],[172,154,2362,617,768,30,41])).
% 12.63/12.69 cnf(2396,plain,
% 12.63/12.69 (P2(f11(x23961,x23962),f10(x23961,x23962))),
% 12.63/12.69 inference(rename_variables,[],[172])).
% 12.63/12.69 cnf(2399,plain,
% 12.63/12.69 (P2(f10(x23991,x23992),f16(f17(x23991,x23992)))),
% 12.63/12.69 inference(rename_variables,[],[2350])).
% 12.63/12.69 cnf(2407,plain,
% 12.63/12.69 (P2(f11(x24071,x24072),f16(f17(x24071,x24072)))),
% 12.63/12.69 inference(scs_inference,[],[165,151,172,2396,154,2362,2352,2350,2399,1185,617,768,1236,833,30,41,34,39,31])).
% 12.63/12.69 cnf(2410,plain,
% 12.63/12.69 (P2(f16(f17(x24101,x24102)),f10(x24101,x24102))),
% 12.63/12.69 inference(scs_inference,[],[165,151,172,2396,154,2362,2352,2350,2399,1185,617,768,1236,833,30,41,34,39,31,24])).
% 12.63/12.69 cnf(2412,plain,
% 12.63/12.69 (P3(f17(x24121,x24122),f11(x24121,x24122))),
% 12.63/12.69 inference(scs_inference,[],[165,151,172,2396,154,2362,2352,2350,2399,1185,617,768,1236,833,30,41,34,39,31,24,28])).
% 12.63/12.69 cnf(2414,plain,
% 12.63/12.69 (~P1(f17(f1(x24141),f1(x24141)))+P1(f20(a12,a12))),
% 12.63/12.69 inference(scs_inference,[],[165,151,172,2396,154,2362,2352,2350,2399,1185,1161,617,768,1236,833,30,41,34,39,31,24,28,23])).
% 12.63/12.69 cnf(2421,plain,
% 12.63/12.69 (~P3(f9(x24211,a12),f11(a12,f9(x24211,a12)))),
% 12.63/12.69 inference(scs_inference,[],[165,151,1855,1,99,7,43])).
% 12.63/12.69 cnf(2423,plain,
% 12.63/12.69 (P2(f2(f10(x24231,x24232)),f11(x24231,x24232))),
% 12.63/12.69 inference(rename_variables,[],[151])).
% 12.63/12.69 cnf(2429,plain,
% 12.63/12.69 (~P2(f3(x24291,x24292),f18(f10(x24293,x24294),f7(x24295)))),
% 12.63/12.69 inference(scs_inference,[],[119,165,151,2359,2344,1855,1,99,7,43,28,23])).
% 12.63/12.69 cnf(2431,plain,
% 12.63/12.69 (P5(f2(f10(x24311,x24312)),f7(x24313),f7(x24313))),
% 12.63/12.69 inference(scs_inference,[],[119,165,151,2423,2359,2344,2117,1855,1619,1,99,7,43,28,23,42])).
% 12.63/12.69 cnf(2443,plain,
% 12.63/12.69 (~P2(f17(a12,f1(x24431)),f11(x24432,x24433))),
% 12.63/12.69 inference(scs_inference,[],[119,177,165,151,2423,2407,1958,2359,2344,2312,2117,1855,1614,1583,1180,1097,1619,1,99,7,4,43,28,23,42,41,33,31])).
% 12.63/12.69 cnf(2448,plain,
% 12.63/12.69 (~P4(f11(x24481,x24482),f11(x24481,x24482),f1(x24483))),
% 12.63/12.69 inference(scs_inference,[],[119,177,165,151,2423,2407,2379,2376,1958,2359,2344,2312,2117,1855,1614,1583,1180,1097,1619,1,99,7,4,43,28,23,42,41,33,31,24,37])).
% 12.63/12.69 cnf(2452,plain,
% 12.63/12.69 (~P4(f7(x24521),f7(x24521),f7(x24521))+P4(a12,a12,a12)),
% 12.63/12.69 inference(scs_inference,[],[119,177,165,151,2423,2407,2379,2376,1958,2359,2344,2312,2117,1855,1614,2305,1583,1180,1097,1619,1,99,7,4,43,28,23,42,41,33,31,24,37,40,39])).
% 12.63/12.69 cnf(2468,plain,
% 12.63/12.69 (P3(f2(f17(x24681,x24682)),f10(x24681,x24682))),
% 12.63/12.69 inference(scs_inference,[],[177,172,2412,2112,2270,5,73,42,33])).
% 12.63/12.69 cnf(2477,plain,
% 12.63/12.69 (P2(f11(x24771,x24772),f16(f17(x24771,x24772)))),
% 12.63/12.69 inference(rename_variables,[],[2407])).
% 12.63/12.69 cnf(2480,plain,
% 12.63/12.69 (~P2(f7(x24801),f3(x24802,x24803))),
% 12.63/12.69 inference(scs_inference,[],[177,172,312,2410,2412,1816,2314,2407,1818,2112,2148,2270,1087,5,73,42,33,34,39,31])).
% 12.63/12.69 cnf(2483,plain,
% 12.63/12.69 (P2(f16(f17(x24831,x24832)),f11(x24831,x24832))),
% 12.63/12.69 inference(scs_inference,[],[177,172,312,2410,2412,1816,2314,2407,2477,1818,2112,2148,2270,1087,5,73,42,33,34,39,31,24])).
% 12.63/12.69 cnf(2487,plain,
% 12.63/12.69 (~P2(f18(f10(x24871,x24872),f7(x24873)),f16(x24874))),
% 12.63/12.69 inference(scs_inference,[],[2325,28])).
% 12.63/12.69 cnf(2489,plain,
% 12.63/12.69 (P5(f11(x24891,x24892),f2(a12),f2(a12))),
% 12.63/12.69 inference(scs_inference,[],[151,2278,2325,1496,28,41])).
% 12.63/12.69 cnf(2493,plain,
% 12.63/12.69 (P2(f2(f10(x24931,x24932)),f11(x24931,x24932))),
% 12.63/12.69 inference(rename_variables,[],[151])).
% 12.63/12.69 cnf(2499,plain,
% 12.63/12.69 (P2(f2(f10(x24991,x24992)),f11(x24991,x24992))),
% 12.63/12.69 inference(rename_variables,[],[151])).
% 12.63/12.69 cnf(2501,plain,
% 12.63/12.69 (P2(f20(f18(x25011,x25012),f2(a12)),f18(x25011,x25012))),
% 12.63/12.69 inference(scs_inference,[],[165,151,2493,2278,2421,2044,2325,984,279,1496,1180,1448,28,41,33,39,31])).
% 12.63/12.69 cnf(2504,plain,
% 12.63/12.69 (~P2(f2(f16(x25041)),f6(x25042))),
% 12.63/12.69 inference(scs_inference,[],[165,151,2493,2278,2037,2421,2044,2325,984,279,1496,1180,1448,28,41,33,39,31,24])).
% 12.63/12.69 cnf(2506,plain,
% 12.63/12.69 (~P3(f11(x25061,x25062),f10(a12,f1(x25063)))),
% 12.63/12.69 inference(scs_inference,[],[165,151,2493,172,2278,2037,2443,2421,2044,2412,2325,984,279,1496,1180,1448,28,41,33,39,31,24,32])).
% 12.63/12.69 cnf(2510,plain,
% 12.63/12.69 (~P4(f11(x25101,x25102),f11(x25103,x25104),a12)),
% 12.63/12.69 inference(scs_inference,[],[165,151,2493,2499,172,2483,2278,2037,2443,2421,2044,2412,2325,2314,984,279,1496,1180,1448,5,28,41,33,39,31,24,32,40])).
% 12.63/12.69 cnf(2533,plain,
% 12.63/12.69 (P2(f2(a12),f18(f11(x25331,x25332),f2(a12)))),
% 12.63/12.69 inference(scs_inference,[],[2489,2510,35,38])).
% 12.63/12.69 cnf(2535,plain,
% 12.63/12.69 (~P3(f1(x25351),f11(f2(x25352),f9(x25352,x25353)))),
% 12.63/12.69 inference(scs_inference,[],[172,1648,2489,2510,191,35,38,32])).
% 12.63/12.69 cnf(2536,plain,
% 12.63/12.69 (P2(f11(x25361,x25362),f10(x25361,x25362))),
% 12.63/12.69 inference(rename_variables,[],[172])).
% 12.63/12.69 cnf(2538,plain,
% 12.63/12.69 (P2(x25381,x25382)+~P2(x25383,x25384)+~P3(x25382,x25384)+~P3(x25381,x25383)),
% 12.63/12.69 inference(rename_variables,[],[32])).
% 12.63/12.69 cnf(2543,plain,
% 12.63/12.69 (P1(f18(f11(x25431,x25432),f2(a12)))),
% 12.63/12.69 inference(scs_inference,[],[179,157,172,1648,2489,2510,2372,2222,1024,191,35,38,32,22,30,23])).
% 12.63/12.69 cnf(2546,plain,
% 12.63/12.69 (~P5(f10(x25461,x25462),a12,f10(x25461,x25462))),
% 12.63/12.69 inference(scs_inference,[],[179,157,172,2536,2395,1648,2489,2510,2372,2222,599,1024,191,35,38,32,22,30,23,42])).
% 12.63/12.69 cnf(2552,plain,
% 12.63/12.69 (P2(f11(x25521,x25522),f10(x25521,x25522))),
% 12.63/12.69 inference(rename_variables,[],[172])).
% 12.63/12.69 cnf(2554,plain,
% 12.63/12.69 (~P2(f17(a12,a12),a12)),
% 12.63/12.69 inference(scs_inference,[],[179,157,172,2536,2395,1648,2192,2489,2510,2372,2362,2222,599,1373,1024,1087,191,5,35,38,32,22,30,23,42,41,33])).
% 12.63/12.69 cnf(2558,plain,
% 12.63/12.69 (P3(f11(x25581,x25582),f16(f10(x25581,x25582)))),
% 12.63/12.69 inference(scs_inference,[],[179,157,148,172,2536,2552,2395,1648,2192,2489,2510,2372,2362,2222,599,1373,1024,1087,191,5,73,35,38,32,22,30,23,42,41,33,34])).
% 12.63/12.69 cnf(2567,plain,
% 12.63/12.69 (~P2(f18(f10(x25671,x25672),f7(x25673)),f10(x25674,x25675))),
% 12.63/12.69 inference(scs_inference,[],[170,179,157,148,172,2536,2552,2395,1648,2487,2192,2489,2510,2372,2362,2350,2047,2222,1585,599,1373,1024,1087,191,946,5,73,35,38,32,22,30,23,42,41,33,34,39,31])).
% 12.63/12.69 cnf(2570,plain,
% 12.63/12.69 (P2(f18(x25701,x25702),f20(f18(x25701,x25702),f2(a12)))),
% 12.63/12.69 inference(scs_inference,[],[170,179,157,148,172,2536,2552,2395,1648,2487,2192,2501,2489,2510,2372,2362,2350,2047,2222,1585,599,1373,1024,1087,191,946,5,73,35,38,32,22,30,23,42,41,33,34,39,31,24])).
% 12.63/12.69 cnf(2576,plain,
% 12.63/12.69 (P2(f18(f11(x25761,x25762),f2(a12)),a12)),
% 12.63/12.69 inference(scs_inference,[],[122,170,179,157,148,172,2536,2552,2395,1648,2487,2192,2501,2489,2510,2372,2362,2350,2047,2222,1585,599,1373,1024,1087,191,946,5,73,35,38,32,22,30,23,42,41,33,34,39,31,24,36,2538,19])).
% 12.63/12.69 cnf(2580,plain,
% 12.63/12.69 (~P1(f17(a12,a12))),
% 12.63/12.69 inference(scs_inference,[],[2554,2501,36,19])).
% 12.63/12.69 cnf(2584,plain,
% 12.63/12.69 (P2(f8(x25841),f8(x25842))),
% 12.63/12.69 inference(scs_inference,[],[2429,2554,2501,1746,1750,46,36,19,38,32])).
% 12.63/12.69 cnf(2588,plain,
% 12.63/12.69 (~P1(f17(f2(a12),f2(a12)))),
% 12.63/12.69 inference(scs_inference,[],[2429,2554,2501,1806,1746,1750,46,36,19,38,32,22])).
% 12.63/12.69 cnf(2595,plain,
% 12.63/12.69 (~P5(f11(x25951,x25952),f18(f11(x25953,x25954),f2(a12)),f11(x25951,x25952))),
% 12.63/12.69 inference(scs_inference,[],[179,157,154,172,2429,2533,2546,2554,2576,2501,1806,1746,1750,46,36,19,38,32,22,30,23,41])).
% 12.63/12.69 cnf(2602,plain,
% 12.63/12.69 (P4(f11(x26021,x26022),a12,f11(x26021,x26022))),
% 12.63/12.69 inference(scs_inference,[],[133,179,157,154,151,172,2429,2533,2546,2554,2576,1304,2501,1806,289,1746,1750,778,1381,46,36,19,38,32,22,30,23,41,33,39])).
% 12.63/12.69 cnf(2616,plain,
% 12.63/12.69 (~P2(f16(f10(x26161,x26162)),f16(a12))),
% 12.63/12.69 inference(scs_inference,[],[133,179,157,154,151,172,1826,2267,2429,840,2533,2546,2554,2576,2296,1304,2501,2203,1806,1711,289,1546,1746,1750,778,236,1381,46,36,19,38,32,22,30,23,41,33,39,31,24,37,42,2103,34])).
% 12.63/12.69 cnf(2621,plain,
% 12.63/12.69 (P2(f11(x26211,x26212),f17(f11(x26211,x26212),a12))),
% 12.63/12.69 inference(scs_inference,[],[2616,2602,27,37])).
% 12.63/12.69 cnf(2623,plain,
% 12.63/12.69 (~P1(f20(a12,a12))),
% 12.63/12.69 inference(scs_inference,[],[2588,2616,2602,701,27,37,22])).
% 12.63/12.69 cnf(2629,plain,
% 12.63/12.69 (~P1(f20(f2(a12),f2(a12)))),
% 12.63/12.69 inference(scs_inference,[],[2580,2588,2543,2616,2602,1764,701,1024,27,37,22,30,23])).
% 12.63/12.69 cnf(2632,plain,
% 12.63/12.69 (P5(f11(x26321,x26322),f7(x26323),f7(x26323))),
% 12.63/12.69 inference(scs_inference,[],[2431,2580,2588,2543,2616,2602,2047,1764,701,1024,2305,27,37,22,30,23,42])).
% 12.63/12.69 cnf(2637,plain,
% 12.63/12.69 (P2(f11(x26371,x26372),f10(x26371,x26372))),
% 12.63/12.69 inference(rename_variables,[],[172])).
% 12.63/12.69 cnf(2648,plain,
% 12.63/12.69 (P2(f20(f18(x26481,x26482),f2(a12)),f5(x26481,x26482))),
% 12.63/12.69 inference(scs_inference,[],[148,172,2637,2431,2535,2580,2588,2543,2616,2602,2287,2342,2002,2047,1764,701,2203,984,1024,2305,833,5,27,37,22,30,23,42,41,33,34,31])).
% 12.63/12.69 cnf(2651,plain,
% 12.63/12.69 (P2(f18(f11(x26511,x26512),f2(a12)),f2(a12))),
% 12.63/12.69 inference(scs_inference,[],[148,172,2637,2431,2535,2580,2588,2543,2616,2602,2287,2342,2533,2002,2047,1764,701,2203,984,1024,2305,833,5,27,37,22,30,23,42,41,33,34,31,24])).
% 12.63/12.69 cnf(2653,plain,
% 12.63/12.69 (~P1(f17(f1(x26531),f1(x26531)))),
% 12.63/12.69 inference(scs_inference,[],[148,172,2637,2431,2535,2580,2588,2543,2616,2602,2287,2342,2533,2002,2047,1764,701,2203,984,1024,2305,833,5,27,37,22,30,23,42,41,33,34,31,24,2414])).
% 12.63/12.69 cnf(2654,plain,
% 12.63/12.69 (P2(f7(x26541),f18(f11(x26542,x26543),f7(x26541)))),
% 12.63/12.69 inference(scs_inference,[],[148,172,2637,2431,2535,2580,2588,2543,2616,2602,2287,2342,2533,2002,2047,1764,701,2203,984,1024,2305,833,5,27,37,22,30,23,42,41,33,34,31,24,2414,38])).
% 12.63/12.69 cnf(2672,plain,
% 12.63/12.69 (~P1(f17(f11(x26721,x26722),a12))),
% 12.63/12.69 inference(scs_inference,[],[179,175,172,2621,2623,2448,1855,1287,40,22,30,23])).
% 12.63/12.69 cnf(2676,plain,
% 12.63/12.69 (P2(f8(x26761),f8(x26762))),
% 12.63/12.69 inference(rename_variables,[],[2584])).
% 12.63/12.69 cnf(2677,plain,
% 12.63/12.69 (P5(x26771,f2(f6(x26771)),f8(x26771))),
% 12.63/12.69 inference(rename_variables,[],[128])).
% 12.63/12.69 cnf(2690,plain,
% 12.63/12.69 (~P2(f11(x26901,x26902),f17(a12,f1(x26903)))),
% 12.63/12.69 inference(scs_inference,[],[128,2677,170,179,175,151,172,2584,2621,2506,2623,2383,2448,1897,2148,1373,2122,1855,946,1287,40,22,30,23,42,41,39,34])).
% 12.63/12.69 cnf(2694,plain,
% 12.63/12.69 (~P2(f16(x26941),f8(x26942))),
% 12.63/12.69 inference(scs_inference,[],[128,2677,170,179,175,151,172,1836,2584,2676,2621,2506,2623,2383,2448,1897,2148,1373,2122,1855,946,1287,40,22,30,23,42,41,39,34,31])).
% 12.63/12.69 cnf(2703,plain,
% 12.63/12.69 (P1(f18(f11(x27031,x27032),f7(x27033)))),
% 12.63/12.69 inference(scs_inference,[],[2654,204,22])).
% 12.63/12.69 cnf(2704,plain,
% 12.63/12.69 (P1(f7(x27041))),
% 12.63/12.69 inference(rename_variables,[],[204])).
% 12.63/12.69 cnf(2706,plain,
% 12.63/12.69 (~P3(x27061,f18(f11(x27062,x27063),f7(x27064)))),
% 12.63/12.69 inference(scs_inference,[],[2654,204,2704,22,30])).
% 12.63/12.69 cnf(2716,plain,
% 12.63/12.69 (P5(f11(x27161,x27162),f7(x27163),f8(x27164))),
% 12.63/12.69 inference(scs_inference,[],[128,188,154,151,2654,2595,2651,2584,2489,2148,204,2704,4,22,30,23,42,41])).
% 12.63/12.69 cnf(2719,plain,
% 12.63/12.69 (P2(f8(x27191),f8(x27192))),
% 12.63/12.69 inference(rename_variables,[],[2584])).
% 12.63/12.69 cnf(2733,plain,
% 12.63/12.69 (P2(f18(f11(x27331,x27332),f7(x27333)),f7(x27333))),
% 12.63/12.69 inference(scs_inference,[],[128,188,154,151,2654,2070,1911,2595,2651,2468,2246,2584,2489,1935,1080,2148,204,2704,1448,291,4,75,22,30,23,42,41,39,34,31,24])).
% 12.63/12.69 cnf(2735,plain,
% 12.63/12.69 (~P4(a12,f1(x27351),f11(x27352,x27353))),
% 12.63/12.69 inference(scs_inference,[],[128,188,154,151,2654,2070,1911,2595,2690,2651,2468,2246,2584,2489,1935,1080,2148,204,2704,1448,291,4,75,22,30,23,42,41,39,34,31,24,37])).
% 12.63/12.69 cnf(2739,plain,
% 12.63/12.69 (P2(f18(f11(x27391,x27392),f7(x27393)),a12)),
% 12.63/12.69 inference(scs_inference,[],[128,188,154,151,2654,2070,1911,2595,2690,2651,2468,2246,2584,2719,2489,1935,1080,2148,204,2704,1448,291,4,75,22,30,23,42,41,39,34,31,24,37,40,19])).
% 12.63/12.69 cnf(2741,plain,
% 12.63/12.69 (P1(f20(a12,f1(x27411)))),
% 12.63/12.69 inference(scs_inference,[],[2283,1087,22])).
% 12.63/12.69 cnf(2742,plain,
% 12.63/12.69 (P2(f17(x27421,x27422),f20(x27421,x27422))),
% 12.63/12.69 inference(rename_variables,[],[1087])).
% 12.63/12.69 cnf(2748,plain,
% 12.63/12.69 (P2(f20(x27481,x27482),f2(f17(x27481,x27482)))),
% 12.63/12.69 inference(rename_variables,[],[1080])).
% 12.63/12.69 cnf(2753,plain,
% 12.63/12.69 (~P2(f10(x27531,x27532),f18(f11(x27533,x27534),f7(x27535)))),
% 12.63/12.69 inference(scs_inference,[],[191,2706,2283,2623,2410,2533,1977,1080,2748,1087,2742,22,30,23,42,33])).
% 12.63/12.69 cnf(2754,plain,
% 12.63/12.69 (P2(f20(x27541,x27542),f2(f17(x27541,x27542)))),
% 12.63/12.69 inference(rename_variables,[],[1080])).
% 12.63/12.69 cnf(2755,plain,
% 12.63/12.69 (~P3(x27551,f18(f11(x27552,x27553),f7(x27554)))),
% 12.63/12.69 inference(rename_variables,[],[2706])).
% 12.63/12.69 cnf(2761,plain,
% 12.63/12.69 (P2(f11(x27611,x27612),f17(x27611,f9(x27611,x27612)))),
% 12.63/12.69 inference(scs_inference,[],[191,172,2706,2755,2283,2623,2468,2410,382,2533,1977,1080,2748,2754,1087,2742,22,30,23,42,33,34,31])).
% 12.63/12.69 cnf(2768,plain,
% 12.63/12.69 (~P5(f10(x27681,x27682),f7(x27683),f10(x27684,x27685))),
% 12.63/12.69 inference(scs_inference,[],[191,172,2567,2706,2755,2283,2623,2468,2410,382,2533,1977,1080,2748,2754,1087,2742,22,30,23,42,33,34,31,24,35,38])).
% 12.63/12.69 cnf(2777,plain,
% 12.63/12.69 (P2(f8(x27771),f18(f11(x27772,x27773),f7(x27774)))),
% 12.63/12.69 inference(scs_inference,[],[2716,38])).
% 12.63/12.69 cnf(2784,plain,
% 12.63/12.69 (P1(f5(f11(x27841,x27842),f7(x27843)))),
% 12.63/12.69 inference(scs_inference,[],[138,188,2703,2716,1553,1298,2,79,38,32,22,23])).
% 12.63/12.69 cnf(2793,plain,
% 12.63/12.69 (~P2(f3(x27931,x27932),f18(f11(x27933,x27934),f7(x27935)))),
% 12.63/12.69 inference(scs_inference,[],[138,188,179,172,2733,2145,2703,2716,2768,1553,1298,2,7,79,38,32,22,23,30,41,31])).
% 12.63/12.69 cnf(2796,plain,
% 12.63/12.69 (P2(f17(x27961,f9(x27961,x27962)),f11(x27961,x27962))),
% 12.63/12.69 inference(scs_inference,[],[138,188,179,172,2761,2733,2145,2703,2716,2768,1553,1298,2,7,79,38,32,22,23,30,41,31,24])).
% 12.63/12.69 cnf(2806,plain,
% 12.63/12.69 (~P5(f11(x28061,x28062),f7(x28063),f10(x28064,x28065))),
% 12.63/12.69 inference(scs_inference,[],[2753,38])).
% 12.63/12.69 cnf(2829,plain,
% 12.63/12.69 (~P2(f11(x28291,x28292),f2(f7(x28293)))),
% 12.63/12.69 inference(scs_inference,[],[188,148,151,172,2632,2172,2753,2777,2739,2262,2554,2483,2332,1692,1897,2654,1583,297,49,2,38,32,40,23,42,33,41,31])).
% 12.63/12.69 cnf(2848,plain,
% 12.63/12.69 (P2(f11(x28481,x28482),f10(x28481,x28482))),
% 12.63/12.69 inference(rename_variables,[],[172])).
% 12.63/12.69 cnf(2850,plain,
% 12.63/12.69 (~P3(f10(x28501,x28502),f17(f16(a12),f2(a12)))),
% 12.63/12.69 inference(scs_inference,[],[172,2848,2735,2621,2602,829,2321,1236,133,73,40,39,34])).
% 12.63/12.69 cnf(2854,plain,
% 12.63/12.69 (P2(f17(x28541,f9(x28541,x28542)),f10(x28541,x28542))),
% 12.63/12.69 inference(scs_inference,[],[172,2848,2796,2735,2621,2602,829,2321,1236,133,73,40,39,34,31])).
% 12.63/12.69 cnf(2859,plain,
% 12.63/12.69 (P2(f5(f11(x28591,x28592),f7(x28593)),a12)),
% 12.63/12.69 inference(scs_inference,[],[172,2848,2796,2784,2648,2735,2621,2602,829,2321,1236,133,73,40,39,34,31,24,19])).
% 12.63/12.69 cnf(2903,plain,
% 12.63/12.69 (P2(a12,f5(f11(x29031,x29032),f7(x29033)))),
% 12.63/12.69 inference(scs_inference,[],[172,2854,1230,1456,2629,1787,2287,2859,590,2533,520,455,2203,984,833,23,42,41,39,31,24])).
% 12.63/12.69 cnf(2920,plain,
% 12.63/12.69 (~P2(f2(f6(x29201)),f17(a12,a12))),
% 12.63/12.69 inference(scs_inference,[],[179,2580,22])).
% 12.63/12.69 cnf(2922,plain,
% 12.63/12.69 (~P2(f17(a12,a12),f2(f6(x29221)))),
% 12.63/12.69 inference(scs_inference,[],[179,2580,22,23])).
% 12.63/12.69 cnf(2924,plain,
% 12.63/12.69 (~P2(f20(f11(x29241,x29242),f11(x29241,x29242)),f7(x29243))),
% 12.63/12.69 inference(scs_inference,[],[179,1007,2580,1185,2483,22,23,33])).
% 12.63/12.69 cnf(2930,plain,
% 12.63/12.69 (P2(f11(x29301,x29302),f10(x29301,x29302))),
% 12.63/12.69 inference(rename_variables,[],[172])).
% 12.63/12.69 cnf(2936,plain,
% 12.63/12.69 (P2(f19(x29361,x29362),f18(f2(x29361),f3(x29361,x29362)))),
% 12.63/12.69 inference(scs_inference,[],[191,179,172,2930,1007,2316,2580,2576,1185,1122,2483,1599,236,22,23,33,34,39,31])).
% 12.63/12.69 cnf(2943,plain,
% 12.63/12.69 (~P5(f11(x29431,x29432),f7(x29433),f3(x29434,x29435))),
% 12.63/12.69 inference(scs_inference,[],[191,179,172,2930,2793,1007,2316,2580,2576,1185,1122,2483,1599,236,22,23,33,34,39,31,24,36,38])).
% 12.63/12.69 cnf(2964,plain,
% 12.63/12.69 (~P4(a12,a12,f2(f6(x29641)))),
% 12.63/12.69 inference(scs_inference,[],[2920,37])).
% 12.63/12.69 cnf(2966,plain,
% 12.63/12.69 (~P3(f2(f6(x29661)),f11(a12,a12))),
% 12.63/12.69 inference(scs_inference,[],[151,2920,2922,1145,37,32])).
% 12.63/12.69 cnf(2975,plain,
% 12.63/12.69 (~P5(f16(x29751),a12,f16(x29751))),
% 12.63/12.69 inference(rename_variables,[],[1945])).
% 12.63/12.69 cnf(2982,plain,
% 12.63/12.69 (P2(f11(x29821,x29822),f10(x29821,x29822))),
% 12.63/12.69 inference(rename_variables,[],[172])).
% 12.63/12.69 cnf(2996,plain,
% 12.63/12.69 (P2(f20(a12,f1(x29961)),a12)),
% 12.63/12.69 inference(scs_inference,[],[183,151,172,2982,2936,2850,2920,2922,2903,1202,2535,2741,2310,2796,1954,2733,1945,2975,2314,2350,353,2533,1145,1746,1236,1448,37,32,40,42,33,34,41,39,31,24,19])).
% 12.63/12.69 cnf(2998,plain,
% 12.63/12.69 (P2(f2(f1(x29981)),f1(x29982))),
% 12.63/12.69 inference(scs_inference,[],[1338,1434,1564,32])).
% 12.63/12.69 cnf(3001,plain,
% 12.63/12.69 (~P2(f9(x30011,x30012),f17(a12,f1(x30013)))),
% 12.63/12.69 inference(scs_inference,[],[1987,2230,1338,891,1434,1564,75,32,40])).
% 12.63/12.69 cnf(3010,plain,
% 12.63/12.69 (~P3(a12,f2(f10(a12,a12)))),
% 12.63/12.69 inference(scs_inference,[],[177,151,1987,2966,2996,2230,1338,891,1434,912,1564,1614,1467,75,32,40,42,33])).
% 12.63/12.69 cnf(3011,plain,
% 12.63/12.69 (~P3(f2(f6(x30111)),f11(a12,a12))),
% 12.63/12.69 inference(rename_variables,[],[2966])).
% 12.63/12.69 cnf(3026,plain,
% 12.63/12.69 (~P2(f18(x30261,f6(x30261)),f3(x30262,x30263))),
% 12.63/12.69 inference(scs_inference,[],[148,177,151,172,1987,2480,2966,3011,2996,2230,2903,2651,1338,891,2602,1434,912,1564,1189,244,1614,527,1467,49,75,32,40,42,33,41,34,39,31])).
% 12.63/12.69 cnf(3033,plain,
% 12.63/12.69 (P3(f2(f2(x30331)),f9(x30332,x30331))),
% 12.63/12.69 inference(scs_inference,[],[148,462,1180,34])).
% 12.63/12.69 cnf(3038,plain,
% 12.63/12.69 (P2(f2(f1(x30381)),f1(x30382))),
% 12.63/12.69 inference(rename_variables,[],[2998])).
% 12.63/12.69 cnf(3042,plain,
% 12.63/12.69 (P2(a12,f7(x30421))),
% 12.63/12.69 inference(scs_inference,[],[148,2998,2148,1614,12,462,1180,1287,1448,34,39,31])).
% 12.63/12.69 cnf(3045,plain,
% 12.63/12.69 (P2(f1(x30451),f2(f1(x30452)))),
% 12.63/12.69 inference(scs_inference,[],[148,2998,3038,2148,1614,12,462,1180,1287,1448,34,39,31,24])).
% 12.63/12.69 cnf(3055,plain,
% 12.63/12.69 (~P4(f7(x30551),f7(x30551),a12)),
% 12.63/12.69 inference(scs_inference,[],[3042,2964,1189,40])).
% 12.63/12.69 cnf(3058,plain,
% 12.63/12.69 (~P3(x30581,f5(f11(x30582,x30583),f7(x30584)))),
% 12.63/12.69 inference(scs_inference,[],[3042,2964,2903,1189,44,40,30])).
% 12.63/12.69 cnf(3063,plain,
% 12.63/12.69 (~P5(f10(x30631,x30632),f18(f11(x30633,x30634),f7(x30635)),f16(x30636))),
% 12.63/12.69 inference(scs_inference,[],[151,172,3042,2964,2943,2806,2903,2654,1189,291,44,40,30,41,42])).
% 12.63/12.69 cnf(3066,plain,
% 12.63/12.69 (~P2(a12,f17(a12,a12))),
% 12.63/12.69 inference(scs_inference,[],[151,172,3042,3010,2964,2943,2806,2903,2412,2654,1189,291,44,40,30,41,42,34])).
% 12.63/12.69 cnf(3076,plain,
% 12.63/12.69 (P2(a12,f7(x30761))),
% 12.63/12.69 inference(rename_variables,[],[3042])).
% 12.63/12.69 cnf(3080,plain,
% 12.63/12.69 (~P5(x30801,f6(x30801),f3(x30802,x30803))),
% 12.63/12.69 inference(scs_inference,[],[151,172,2924,3026,3042,3010,2964,2943,2806,2272,2903,2412,2310,2654,1189,291,44,40,30,41,42,34,39,24,31,19,38])).
% 12.63/12.69 cnf(3088,plain,
% 12.63/12.69 (P3(f7(x30881),f16(a12))),
% 12.63/12.69 inference(scs_inference,[],[151,172,2924,3026,3042,3076,3010,2964,2943,2806,2672,2272,2936,2903,2412,2310,1709,1707,2654,1189,291,44,40,30,41,42,34,39,24,31,19,38,20,28,22,33])).
% 12.63/12.69 cnf(3099,plain,
% 12.63/12.69 (P2(f16(a12),f16(f7(x30991)))),
% 12.63/12.69 inference(scs_inference,[],[3088,27])).
% 12.63/12.69 cnf(3106,plain,
% 12.63/12.69 (P2(f2(f16(x31061)),f9(x31062,x31061))),
% 12.63/12.69 inference(rename_variables,[],[1381])).
% 12.63/12.69 cnf(3111,plain,
% 12.63/12.69 (~P4(f11(x31111,x31112),f16(x31113),f20(a12,f1(x31114)))),
% 12.63/12.69 inference(scs_inference,[],[151,199,204,172,3033,1633,3088,2996,1842,3010,2316,2903,1599,1381,27,22,30,33,34,39])).
% 12.63/12.69 cnf(3115,plain,
% 12.63/12.69 (P2(a12,f20(a12,f1(x31151)))),
% 12.63/12.69 inference(scs_inference,[],[151,199,204,172,3033,1633,3088,2996,1842,3010,2316,2903,1599,1381,27,22,30,33,34,39,24])).
% 12.63/12.69 cnf(3126,plain,
% 12.63/12.69 (~P1(f20(f1(x31261),f1(x31261)))),
% 12.63/12.69 inference(scs_inference,[],[151,199,191,204,172,3033,2504,1633,3088,2653,2996,2784,1842,3010,2316,2741,2903,18,1599,1381,3106,1087,236,27,22,30,33,34,39,24,31,43,23])).
% 12.63/12.69 cnf(3129,plain,
% 12.63/12.69 (~P4(f6(x31291),f6(x31291),f6(x31291))+P4(a12,a12,a12)),
% 12.63/12.69 inference(scs_inference,[],[151,199,191,204,172,3033,2504,1633,3088,2653,2996,2784,1842,3010,2316,2741,2903,18,1599,1381,3106,1087,1499,236,27,22,30,33,34,39,24,31,43,23,40])).
% 12.63/12.69 cnf(3135,plain,
% 12.63/12.69 (P4(f16(a12),f1(x31351),f16(a12))),
% 12.63/12.69 inference(scs_inference,[],[1526,3099,3045,40])).
% 12.63/12.69 cnf(3140,plain,
% 12.63/12.69 (~P3(f18(f10(x31401,x31402),f7(x31403)),f11(a12,a12))),
% 12.63/12.69 inference(scs_inference,[],[154,199,1526,3099,3045,2342,3010,2047,40,23,33])).
% 12.63/12.69 cnf(3147,plain,
% 12.63/12.69 (~P5(f3(x31471,a12),a12,f3(x31471,a12))),
% 12.63/12.69 inference(scs_inference,[],[154,199,172,1526,3099,3115,2161,3045,2083,2342,3010,2047,462,291,40,23,33,42,41])).
% 12.63/12.69 cnf(3149,plain,
% 12.63/12.69 (P2(a12,f20(a12,f1(x31491)))),
% 12.63/12.69 inference(rename_variables,[],[3115])).
% 12.63/12.69 cnf(3160,plain,
% 12.63/12.69 (P2(a12,f18(x31601,f6(x31601)))),
% 12.63/12.69 inference(scs_inference,[],[154,199,172,1526,2829,3111,3099,3115,3149,2161,3045,2966,2083,2342,3088,3010,2796,2047,244,2148,3042,462,291,40,23,33,42,41,34,39,24,31])).
% 12.63/12.69 cnf(3167,plain,
% 12.63/12.69 (~P4(a12,f1(x31671),f9(x31672,x31673))),
% 12.63/12.69 inference(scs_inference,[],[154,199,172,1526,2829,3111,3001,3099,3115,3149,2161,3045,2966,2083,2342,3088,3010,2796,2047,244,2148,3042,462,291,40,23,33,42,41,34,39,24,31,36,27,37])).
% 12.63/12.69 cnf(3177,plain,
% 12.63/12.69 (P2(f16(a12),f17(f16(a12),f1(x31771)))),
% 12.63/12.69 inference(scs_inference,[],[3135,3147,36,37])).
% 12.63/12.69 cnf(3179,plain,
% 12.63/12.69 (~P3(f11(x31791,x31792),f16(f1(x31793)))),
% 12.63/12.69 inference(scs_inference,[],[197,3135,3147,1553,1089,36,37,32])).
% 12.63/12.69 cnf(3183,plain,
% 12.63/12.69 (P2(a12,f18(x31831,f6(x31831)))),
% 12.63/12.69 inference(rename_variables,[],[3160])).
% 12.63/12.69 cnf(3189,plain,
% 12.63/12.69 (P2(f11(x31891,x31892),f10(x31891,x31892))),
% 12.63/12.69 inference(rename_variables,[],[172])).
% 12.63/12.69 cnf(3191,plain,
% 12.63/12.69 (P5(f11(x31911,x31912),f7(x31913),a12)),
% 12.63/12.69 inference(scs_inference,[],[197,172,3189,358,3055,3135,3147,3160,3183,2558,522,1954,1553,1089,2122,244,36,37,32,40,33,42])).
% 12.63/12.69 cnf(3192,plain,
% 12.63/12.69 (P2(a12,f18(x31921,f6(x31921)))),
% 12.63/12.69 inference(rename_variables,[],[3160])).
% 12.63/12.69 cnf(3196,plain,
% 12.63/12.69 (P5(f10(x31961,x31962),f2(a12),f2(a12))),
% 12.63/12.69 inference(scs_inference,[],[197,172,3189,358,3055,3135,3147,3160,3183,2558,522,758,1954,1553,1089,2122,244,1496,15,36,37,32,40,33,42,41])).
% 12.63/12.69 cnf(3197,plain,
% 12.63/12.69 (P2(f5(x31971,f6(x31971)),f2(a12))),
% 12.63/12.69 inference(rename_variables,[],[758])).
% 12.63/12.69 cnf(3203,plain,
% 12.63/12.69 (P2(f11(x32031,x32032),f10(x32031,x32032))),
% 12.63/12.69 inference(rename_variables,[],[172])).
% 12.63/12.69 cnf(3208,plain,
% 12.63/12.69 (P2(f2(a12),f5(x32081,f6(x32081)))),
% 12.63/12.69 inference(scs_inference,[],[197,191,172,3189,3203,358,3055,3135,3147,3160,3183,3192,2570,2558,522,758,3197,1954,2602,1553,1089,2122,244,1496,15,36,37,32,40,33,42,41,34,39,24])).
% 12.63/12.69 cnf(3210,plain,
% 12.63/12.69 (~P2(f10(x32101,x32102),f18(x32103,f6(x32103)))),
% 12.63/12.69 inference(scs_inference,[],[197,202,191,172,3189,3203,358,3055,3135,3147,3160,3183,3192,2570,2558,522,758,3197,446,1954,2602,1553,1089,2122,244,1496,15,36,37,32,40,33,42,41,34,39,24,31])).
% 12.63/12.69 cnf(3217,plain,
% 12.63/12.69 (P2(a12,f18(f11(x32171,x32172),f7(x32173)))),
% 12.63/12.69 inference(scs_inference,[],[3191,38])).
% 12.63/12.69 cnf(3225,plain,
% 12.63/12.69 (~P2(f10(x32251,x32252),f18(f11(x32253,x32254),f2(a12)))),
% 12.63/12.69 inference(scs_inference,[],[157,2233,3191,3066,3033,2543,2558,38,37,32,23])).
% 12.63/12.69 cnf(3231,plain,
% 12.63/12.69 (~P2(f3(x32311,x32312),f18(a12,f2(a12)))),
% 12.63/12.69 inference(scs_inference,[],[157,1830,3080,2233,3208,3191,3066,3033,2543,2558,2651,395,455,1496,38,37,32,23,33,42])).
% 12.63/12.69 cnf(3233,plain,
% 12.63/12.69 (~P5(x32331,f6(x32331),f3(x32332,x32333))),
% 12.63/12.69 inference(rename_variables,[],[3080])).
% 12.63/12.69 cnf(3234,plain,
% 12.63/12.69 (P2(f6(x32341),f2(a12))),
% 12.63/12.69 inference(rename_variables,[],[1496])).
% 12.63/12.69 cnf(3269,plain,
% 12.63/12.69 (~P4(f6(x32691),f6(x32691),f6(x32691))),
% 12.63/12.69 inference(scs_inference,[],[157,195,191,172,1830,3126,3080,3233,3210,2694,3058,1608,3140,2233,3208,3177,3167,3191,3066,3055,3033,2543,2558,2651,395,455,2305,3042,1496,3234,4,38,37,32,23,33,42,41,34,39,24,31,2452,1742,478,35,19,20,28,40,3129])).
% 12.63/12.69 cnf(3286,plain,
% 12.63/12.69 (~P5(f10(x32861,x32862),a12,f16(x32863))),
% 12.63/12.69 inference(scs_inference,[],[157,172,3231,1020,676,3080,3177,2998,2543,1338,330,1089,1467,291,38,40,22,23,33,42])).
% 12.63/12.69 cnf(3293,plain,
% 12.63/12.69 (~P3(f10(x32931,x32932),f16(a12))),
% 12.63/12.69 inference(scs_inference,[],[157,172,3063,3179,3231,1020,3217,676,3080,3177,2998,3099,2543,1338,330,1089,1467,291,38,40,22,23,33,42,41,34])).
% 12.63/12.69 cnf(3314,plain,
% 12.63/12.69 (P2(f2(a12),f18(f10(x33141,x33142),f2(a12)))),
% 12.63/12.69 inference(scs_inference,[],[3196,3286,36,38])).
% 12.63/12.69 cnf(3318,plain,
% 12.63/12.69 (~P4(f2(a12),f2(a12),f2(a12))),
% 12.63/12.69 inference(scs_inference,[],[3269,3293,3196,3286,1496,36,38,28,40])).
% 12.63/12.69 cnf(3355,plain,
% 12.63/12.69 ($false),
% 12.63/12.69 inference(scs_inference,[],[3318,3225,3314,1692,5,38,40]),
% 12.63/12.69 ['proof']).
% 12.73/12.70 % SZS output end Proof
% 12.73/12.70 % Total time :12.030000s
%------------------------------------------------------------------------------