TSTP Solution File: GEO039-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO039-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n025.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 : Wed Aug 30 22:42:35 EDT 2023
% Result : Unsatisfiable 1.78s 1.89s
% Output : CNFRefutation 1.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO039-3 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 21:50:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 1.78/1.88 %-------------------------------------------
% 1.78/1.88 % File :CSE---1.6
% 1.78/1.88 % Problem :theBenchmark
% 1.78/1.88 % Transform :cnf
% 1.78/1.88 % Format :tptp:raw
% 1.78/1.88 % Command :java -jar mcs_scs.jar %d %s
% 1.78/1.88
% 1.78/1.88 % Result :Theorem 1.250000s
% 1.78/1.88 % Output :CNFRefutation 1.250000s
% 1.78/1.88 %-------------------------------------------
% 1.78/1.88 %--------------------------------------------------------------------------
% 1.78/1.88 % File : GEO039-3 : TPTP v8.1.2. Released v1.0.0.
% 1.78/1.88 % Domain : Geometry
% 1.78/1.88 % Problem : Corollary the identity axiom for betweenness
% 1.78/1.88 % Version : [Qua89] axioms : Augmented.
% 1.78/1.88 % English :
% 1.78/1.88
% 1.78/1.88 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 1.78/1.88 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 1.78/1.88 % Source : [Qua89]
% 1.78/1.88 % Names : B1 [Qua89]
% 1.78/1.88
% 1.78/1.88 % Status : Unsatisfiable
% 1.78/1.88 % Rating : 0.05 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.15 v5.3.0, 0.11 v5.2.0, 0.06 v5.0.0, 0.00 v4.0.1, 0.09 v3.7.0, 0.00 v3.5.0, 0.09 v3.4.0, 0.08 v3.3.0, 0.14 v3.2.0, 0.08 v3.1.0, 0.09 v2.7.0, 0.17 v2.6.0, 0.10 v2.5.0, 0.08 v2.4.0, 0.11 v2.2.1, 0.00 v2.2.0, 0.11 v2.1.0, 0.11 v2.0.0
% 1.78/1.88 % Syntax : Number of clauses : 47 ( 19 unt; 9 nHn; 32 RR)
% 1.78/1.88 % Number of literals : 110 ( 25 equ; 56 neg)
% 1.78/1.88 % Maximal clause size : 8 ( 2 avg)
% 1.78/1.88 % Maximal term depth : 3 ( 1 avg)
% 1.78/1.88 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 1.78/1.88 % Number of functors : 13 ( 13 usr; 7 con; 0-6 aty)
% 1.78/1.88 % Number of variables : 155 ( 7 sgn)
% 1.78/1.88 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.78/1.88
% 1.78/1.88 % Comments :
% 1.78/1.88 %--------------------------------------------------------------------------
% 1.78/1.88 %----Include Tarski geometry axioms
% 1.78/1.88 include('Axioms/GEO002-0.ax').
% 1.78/1.88 %----Include definition of reflection
% 1.78/1.88 include('Axioms/GEO002-2.ax').
% 1.78/1.88 %--------------------------------------------------------------------------
% 1.78/1.88 cnf(d1,axiom,
% 1.78/1.88 equidistant(U,V,U,V) ).
% 1.78/1.88
% 1.78/1.88 cnf(d2,axiom,
% 1.78/1.88 ( ~ equidistant(U,V,W,X)
% 1.78/1.88 | equidistant(W,X,U,V) ) ).
% 1.78/1.88
% 1.78/1.88 cnf(d3,axiom,
% 1.78/1.88 ( ~ equidistant(U,V,W,X)
% 1.78/1.88 | equidistant(V,U,W,X) ) ).
% 1.78/1.88
% 1.78/1.88 cnf(d4_1,axiom,
% 1.78/1.88 ( ~ equidistant(U,V,W,X)
% 1.78/1.88 | equidistant(U,V,X,W) ) ).
% 1.78/1.88
% 1.78/1.88 cnf(d4_2,axiom,
% 1.78/1.88 ( ~ equidistant(U,V,W,X)
% 1.78/1.88 | equidistant(V,U,X,W) ) ).
% 1.78/1.88
% 1.78/1.88 cnf(d4_3,axiom,
% 1.78/1.88 ( ~ equidistant(U,V,W,X)
% 1.78/1.88 | equidistant(W,X,V,U) ) ).
% 1.78/1.88
% 1.78/1.88 cnf(d4_4,axiom,
% 1.78/1.88 ( ~ equidistant(U,V,W,X)
% 1.78/1.88 | equidistant(X,W,U,V) ) ).
% 1.78/1.88
% 1.78/1.88 cnf(d4_5,axiom,
% 1.78/1.88 ( ~ equidistant(U,V,W,X)
% 1.78/1.88 | equidistant(X,W,V,U) ) ).
% 1.78/1.88
% 1.78/1.88 cnf(d5,axiom,
% 1.78/1.88 ( ~ equidistant(U,V,W,X)
% 1.78/1.88 | ~ equidistant(W,X,Y,Z)
% 1.78/1.88 | equidistant(U,V,Y,Z) ) ).
% 1.78/1.88
% 1.78/1.88 cnf(e1,axiom,
% 1.78/1.88 V = extension(U,V,W,W) ).
% 1.78/1.88
% 1.78/1.88 cnf(b0,axiom,
% 1.78/1.88 ( Y != extension(U,V,W,X)
% 1.78/1.88 | between(U,V,Y) ) ).
% 1.78/1.88
% 1.78/1.88 cnf(r2_1,axiom,
% 1.78/1.88 between(U,V,reflection(U,V)) ).
% 1.78/1.88
% 1.78/1.88 cnf(r2_2,axiom,
% 1.78/1.88 equidistant(V,reflection(U,V),U,V) ).
% 1.78/1.88
% 1.78/1.88 cnf(r3_1,axiom,
% 1.78/1.88 ( U != V
% 1.78/1.88 | V = reflection(U,V) ) ).
% 1.78/1.88
% 1.78/1.88 cnf(r3_2,axiom,
% 1.78/1.88 U = reflection(U,U) ).
% 1.78/1.88
% 1.78/1.88 cnf(r4,axiom,
% 1.78/1.88 ( V != reflection(U,V)
% 1.78/1.88 | U = V ) ).
% 1.78/1.88
% 1.78/1.89 cnf(d7,axiom,
% 1.78/1.89 equidistant(U,U,V,V) ).
% 1.78/1.89
% 1.78/1.89 cnf(d8,axiom,
% 1.78/1.89 ( ~ equidistant(U,V,U1,V1)
% 1.78/1.89 | ~ equidistant(V,W,V1,W1)
% 1.78/1.89 | ~ between(U,V,W)
% 1.78/1.89 | ~ between(U1,V1,W1)
% 1.78/1.89 | equidistant(U,W,U1,W1) ) ).
% 1.78/1.89
% 1.78/1.89 cnf(d9,axiom,
% 1.78/1.89 ( ~ between(U,V,W)
% 1.78/1.89 | ~ between(U,V,X)
% 1.78/1.89 | ~ equidistant(V,W,V,X)
% 1.78/1.89 | U = V
% 1.78/1.89 | W = X ) ).
% 1.78/1.89
% 1.78/1.89 cnf(d10_1,axiom,
% 1.78/1.89 ( ~ between(U,V,W)
% 1.78/1.89 | U = V
% 1.78/1.89 | W = extension(U,V,V,W) ) ).
% 1.78/1.89
% 1.78/1.89 cnf(d10_2,axiom,
% 1.78/1.89 ( ~ equidistant(W,X,Y,Z)
% 1.78/1.89 | extension(U,V,W,X) = extension(U,V,Y,Z)
% 1.78/1.89 | U = V ) ).
% 1.78/1.89
% 1.78/1.89 cnf(d10_3,axiom,
% 1.78/1.89 ( extension(U,V,U,V) = extension(U,V,V,U)
% 1.78/1.89 | U = V ) ).
% 1.78/1.89
% 1.78/1.89 cnf(r5,axiom,
% 1.78/1.89 equidistant(V,U,V,reflection(reflection(U,V),V)) ).
% 1.78/1.89
% 1.78/1.89 cnf(r6,axiom,
% 1.78/1.89 U = reflection(reflection(U,V),V) ).
% 1.78/1.89
% 1.78/1.89 cnf(t3,axiom,
% 1.78/1.89 between(U,V,V) ).
% 1.78/1.89
% 1.78/1.89 cnf(w_between_u_and_x,hypothesis,
% 1.78/1.89 between(u,w,x) ).
% 1.78/1.89
% 1.78/1.89 cnf(u_is_x,hypothesis,
% 1.78/1.89 u = x ).
% 1.78/1.89
% 1.78/1.89 cnf(prove_corollary,negated_conjecture,
% 1.78/1.89 ~ between(v,w,x) ).
% 1.78/1.89
% 1.78/1.89 %--------------------------------------------------------------------------
% 1.78/1.89 %-------------------------------------------
% 1.78/1.89 % Proof found
% 1.78/1.89 % SZS status Theorem for theBenchmark
% 1.78/1.89 % SZS output start Proof
% 1.78/1.89 %ClaNum:81(EqnAxiom:35)
% 1.78/1.89 %VarNum:407(SingletonVarNum:148)
% 1.78/1.89 %MaxLitNum:8
% 1.78/1.89 %MaxfuncDepth:2
% 1.78/1.89 %SharedTerms:13
% 1.78/1.89 %goalClause: 53
% 1.78/1.89 %singleGoalClaCount:1
% 1.78/1.89 [36]E(a1,a2)
% 1.78/1.89 [37]P1(a2,a11,a1)
% 1.78/1.89 [50]~P1(a7,a9,a10)
% 1.78/1.89 [51]~P1(a9,a10,a7)
% 1.78/1.89 [52]~P1(a10,a7,a9)
% 1.78/1.89 [53]~P1(a12,a11,a1)
% 1.78/1.89 [38]P1(x381,x382,x382)
% 1.78/1.89 [39]P2(x391,x392,x392,x391)
% 1.78/1.89 [40]P2(x401,x402,x401,x402)
% 1.78/1.89 [41]P2(x411,x411,x412,x412)
% 1.78/1.89 [48]E(f3(f3(x481,x482,x481,x482),x482,f3(x481,x482,x481,x482),x482),x481)
% 1.78/1.89 [49]P2(x491,x492,x491,f3(f3(x492,x491,x492,x491),x491,f3(x492,x491,x492,x491),x491))
% 1.78/1.89 [42]E(f3(x421,x422,x423,x423),x422)
% 1.78/1.89 [44]P1(x441,x442,f3(x441,x442,x443,x444))
% 1.78/1.89 [46]P2(x461,f3(x462,x461,x463,x464),x463,x464)
% 1.78/1.89 [54]~P1(x541,x542,x541)+E(x541,x542)
% 1.78/1.89 [55]~E(x551,x552)+E(f3(x551,x552,x551,x552),x552)
% 1.78/1.89 [58]E(x581,x582)+~E(f3(x582,x581,x582,x581),x581)
% 1.78/1.89 [60]E(x601,x602)+E(f3(x601,x602,x601,x602),f3(x601,x602,x602,x601))
% 1.78/1.89 [57]~P2(x571,x572,x573,x573)+E(x571,x572)
% 1.78/1.89 [62]~P2(x624,x623,x622,x621)+P2(x621,x622,x623,x624)
% 1.78/1.89 [63]~P2(x633,x634,x632,x631)+P2(x631,x632,x633,x634)
% 1.78/1.89 [64]~P2(x644,x643,x641,x642)+P2(x641,x642,x643,x644)
% 1.78/1.89 [65]~P2(x653,x654,x651,x652)+P2(x651,x652,x653,x654)
% 1.78/1.89 [66]~P2(x662,x661,x664,x663)+P2(x661,x662,x663,x664)
% 1.78/1.89 [67]~P2(x672,x671,x673,x674)+P2(x671,x672,x673,x674)
% 1.78/1.89 [68]~P2(x681,x682,x684,x683)+P2(x681,x682,x683,x684)
% 1.78/1.89 [59]P1(x591,x592,x593)+~E(x593,f3(x591,x592,x594,x595))
% 1.78/1.89 [56]~P1(x561,x562,x563)+E(x561,x562)+E(f3(x561,x562,x562,x563),x563)
% 1.78/1.89 [75]~P1(x755,x751,x754)+~P1(x752,x753,x754)+P1(x751,f8(x752,x753,x754,x751,x755),x752)
% 1.78/1.89 [76]~P1(x765,x764,x763)+~P1(x762,x761,x763)+P1(x761,f8(x762,x761,x763,x764,x765),x765)
% 1.78/1.89 [70]~P2(x705,x706,x701,x702)+P2(x701,x702,x703,x704)+~P2(x705,x706,x703,x704)
% 1.78/1.89 [71]~P2(x711,x712,x715,x716)+P2(x711,x712,x713,x714)+~P2(x715,x716,x713,x714)
% 1.78/1.89 [69]~P2(x693,x694,x695,x696)+E(x691,x692)+E(f3(x691,x692,x693,x694),f3(x691,x692,x695,x696))
% 1.78/1.89 [77]~P1(x774,x772,x773)+~P1(x771,x772,x775)+E(x771,x772)+P1(x771,x773,f4(x771,x774,x772,x773,x775))
% 1.78/1.89 [78]~P1(x783,x782,x784)+~P1(x781,x782,x785)+E(x781,x782)+P1(x781,x783,f5(x781,x783,x782,x784,x785))
% 1.78/1.89 [79]~P1(x793,x792,x794)+~P1(x791,x792,x795)+E(x791,x792)+P1(f5(x791,x793,x792,x794,x795),x795,f4(x791,x793,x792,x794,x795))
% 1.78/1.89 [61]~P1(x613,x614,x612)+~P1(x613,x614,x611)+~P2(x614,x611,x614,x612)+E(x611,x612)+E(x613,x614)
% 1.78/1.89 [72]~P2(x726,x722,x725,x724)+~P2(x721,x726,x723,x725)+P2(x721,x722,x723,x724)+~P1(x723,x725,x724)+~P1(x721,x726,x722)
% 1.78/1.89 [80]~P1(x803,x804,x805)+~P1(x802,x803,x805)+~P2(x802,x805,x802,x806)+~P2(x802,x803,x802,x801)+P1(x801,f6(x802,x803,x801,x804,x805,x806),x806)
% 1.78/1.89 [81]~P1(x813,x812,x815)+~P1(x811,x813,x815)+~P2(x811,x815,x811,x816)+~P2(x811,x813,x811,x814)+P2(x811,x812,x811,f6(x811,x813,x814,x812,x815,x816))
% 1.78/1.89 [73]P1(x735,x733,x734)+P1(x734,x735,x733)+~P2(x733,x731,x733,x732)+~P2(x735,x731,x735,x732)+~P2(x734,x731,x734,x732)+E(x731,x732)+P1(x733,x734,x735)
% 1.78/1.89 [74]~P1(x741,x742,x743)+~P2(x742,x744,x748,x746)+~P2(x742,x743,x748,x745)+~P2(x741,x744,x747,x746)+~P2(x741,x742,x747,x748)+E(x741,x742)+P2(x743,x744,x745,x746)+~P1(x747,x748,x745)
% 1.78/1.89 %EqnAxiom
% 1.78/1.89 [1]E(x11,x11)
% 1.78/1.89 [2]E(x22,x21)+~E(x21,x22)
% 1.78/1.89 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.78/1.89 [4]~E(x41,x42)+E(f3(x41,x43,x44,x45),f3(x42,x43,x44,x45))
% 1.78/1.89 [5]~E(x51,x52)+E(f3(x53,x51,x54,x55),f3(x53,x52,x54,x55))
% 1.78/1.89 [6]~E(x61,x62)+E(f3(x63,x64,x61,x65),f3(x63,x64,x62,x65))
% 1.78/1.89 [7]~E(x71,x72)+E(f3(x73,x74,x75,x71),f3(x73,x74,x75,x72))
% 1.78/1.89 [8]~E(x81,x82)+E(f6(x81,x83,x84,x85,x86,x87),f6(x82,x83,x84,x85,x86,x87))
% 1.78/1.89 [9]~E(x91,x92)+E(f6(x93,x91,x94,x95,x96,x97),f6(x93,x92,x94,x95,x96,x97))
% 1.78/1.89 [10]~E(x101,x102)+E(f6(x103,x104,x101,x105,x106,x107),f6(x103,x104,x102,x105,x106,x107))
% 1.78/1.89 [11]~E(x111,x112)+E(f6(x113,x114,x115,x111,x116,x117),f6(x113,x114,x115,x112,x116,x117))
% 1.78/1.89 [12]~E(x121,x122)+E(f6(x123,x124,x125,x126,x121,x127),f6(x123,x124,x125,x126,x122,x127))
% 1.78/1.89 [13]~E(x131,x132)+E(f6(x133,x134,x135,x136,x137,x131),f6(x133,x134,x135,x136,x137,x132))
% 1.78/1.89 [14]~E(x141,x142)+E(f8(x141,x143,x144,x145,x146),f8(x142,x143,x144,x145,x146))
% 1.78/1.89 [15]~E(x151,x152)+E(f8(x153,x151,x154,x155,x156),f8(x153,x152,x154,x155,x156))
% 1.78/1.89 [16]~E(x161,x162)+E(f8(x163,x164,x161,x165,x166),f8(x163,x164,x162,x165,x166))
% 1.78/1.89 [17]~E(x171,x172)+E(f8(x173,x174,x175,x171,x176),f8(x173,x174,x175,x172,x176))
% 1.78/1.89 [18]~E(x181,x182)+E(f8(x183,x184,x185,x186,x181),f8(x183,x184,x185,x186,x182))
% 1.78/1.89 [19]~E(x191,x192)+E(f4(x191,x193,x194,x195,x196),f4(x192,x193,x194,x195,x196))
% 1.78/1.89 [20]~E(x201,x202)+E(f4(x203,x201,x204,x205,x206),f4(x203,x202,x204,x205,x206))
% 1.78/1.89 [21]~E(x211,x212)+E(f4(x213,x214,x211,x215,x216),f4(x213,x214,x212,x215,x216))
% 1.78/1.89 [22]~E(x221,x222)+E(f4(x223,x224,x225,x221,x226),f4(x223,x224,x225,x222,x226))
% 1.78/1.89 [23]~E(x231,x232)+E(f4(x233,x234,x235,x236,x231),f4(x233,x234,x235,x236,x232))
% 1.78/1.89 [24]~E(x241,x242)+E(f5(x241,x243,x244,x245,x246),f5(x242,x243,x244,x245,x246))
% 1.78/1.89 [25]~E(x251,x252)+E(f5(x253,x251,x254,x255,x256),f5(x253,x252,x254,x255,x256))
% 1.78/1.89 [26]~E(x261,x262)+E(f5(x263,x264,x261,x265,x266),f5(x263,x264,x262,x265,x266))
% 1.78/1.89 [27]~E(x271,x272)+E(f5(x273,x274,x275,x271,x276),f5(x273,x274,x275,x272,x276))
% 1.78/1.89 [28]~E(x281,x282)+E(f5(x283,x284,x285,x286,x281),f5(x283,x284,x285,x286,x282))
% 1.78/1.89 [29]P1(x292,x293,x294)+~E(x291,x292)+~P1(x291,x293,x294)
% 1.78/1.89 [30]P1(x303,x302,x304)+~E(x301,x302)+~P1(x303,x301,x304)
% 1.78/1.89 [31]P1(x313,x314,x312)+~E(x311,x312)+~P1(x313,x314,x311)
% 1.78/1.89 [32]P2(x322,x323,x324,x325)+~E(x321,x322)+~P2(x321,x323,x324,x325)
% 1.78/1.89 [33]P2(x333,x332,x334,x335)+~E(x331,x332)+~P2(x333,x331,x334,x335)
% 1.78/1.89 [34]P2(x343,x344,x342,x345)+~E(x341,x342)+~P2(x343,x344,x341,x345)
% 1.78/1.89 [35]P2(x353,x354,x355,x352)+~E(x351,x352)+~P2(x353,x354,x355,x351)
% 1.78/1.89
% 1.78/1.89 %-------------------------------------------
% 1.78/1.89 cnf(82,plain,
% 1.78/1.89 (E(a2,a1)),
% 1.78/1.89 inference(scs_inference,[],[36,2])).
% 1.78/1.89 cnf(83,plain,
% 1.78/1.89 (P1(x831,x832,f3(x833,f3(x831,x832,x834,x835),x836,x836))),
% 1.78/1.89 inference(scs_inference,[],[36,42,2,59])).
% 1.78/1.89 cnf(84,plain,
% 1.78/1.89 (E(f3(x841,x842,x843,x843),x842)),
% 1.78/1.89 inference(rename_variables,[],[42])).
% 1.78/1.89 cnf(89,plain,
% 1.78/1.89 (P2(a1,x891,x891,a2)),
% 1.78/1.89 inference(scs_inference,[],[39,36,42,48,2,59,58,35])).
% 1.78/1.89 cnf(90,plain,
% 1.78/1.89 (P2(x901,x902,x902,x901)),
% 1.78/1.89 inference(rename_variables,[],[39])).
% 1.78/1.89 cnf(91,plain,
% 1.78/1.89 (P2(x911,a1,a2,x911)),
% 1.78/1.89 inference(scs_inference,[],[39,90,36,42,48,2,59,58,35,34])).
% 1.78/1.89 cnf(92,plain,
% 1.78/1.89 (P2(x921,x922,x922,x921)),
% 1.78/1.89 inference(rename_variables,[],[39])).
% 1.78/1.89 cnf(93,plain,
% 1.78/1.89 (P2(x931,a2,a1,x931)),
% 1.78/1.89 inference(scs_inference,[],[39,90,92,36,42,48,2,59,58,35,34,33])).
% 1.78/1.89 cnf(94,plain,
% 1.78/1.89 (P2(x941,x942,x942,x941)),
% 1.78/1.89 inference(rename_variables,[],[39])).
% 1.78/1.89 cnf(95,plain,
% 1.78/1.89 (P2(a2,x951,x951,a1)),
% 1.78/1.90 inference(scs_inference,[],[39,90,92,94,36,42,48,2,59,58,35,34,33,32])).
% 1.78/1.90 cnf(96,plain,
% 1.78/1.90 (P2(x961,x962,x962,x961)),
% 1.78/1.90 inference(rename_variables,[],[39])).
% 1.78/1.90 cnf(97,plain,
% 1.78/1.90 (~E(a11,a1)),
% 1.78/1.90 inference(scs_inference,[],[53,39,90,92,94,38,36,42,48,2,59,58,35,34,33,32,31])).
% 1.78/1.90 cnf(98,plain,
% 1.78/1.90 (P1(x981,x982,x982)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(99,plain,
% 1.78/1.90 (~E(a1,a11)),
% 1.78/1.90 inference(scs_inference,[],[53,39,90,92,94,38,98,36,42,48,2,59,58,35,34,33,32,31,30])).
% 1.78/1.90 cnf(100,plain,
% 1.78/1.90 (P1(x1001,x1002,x1002)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(101,plain,
% 1.78/1.90 (~E(a2,a12)),
% 1.78/1.90 inference(scs_inference,[],[53,39,90,92,94,38,98,36,37,42,48,2,59,58,35,34,33,32,31,30,29])).
% 1.78/1.90 cnf(105,plain,
% 1.78/1.90 (P2(x1051,f3(x1052,x1051,x1053,x1054),x1053,x1054)),
% 1.78/1.90 inference(rename_variables,[],[46])).
% 1.78/1.90 cnf(106,plain,
% 1.78/1.90 (P2(x1061,x1062,x1062,x1061)),
% 1.78/1.90 inference(rename_variables,[],[39])).
% 1.78/1.90 cnf(109,plain,
% 1.78/1.90 (P2(x1091,x1092,x1091,f3(f3(x1092,x1091,x1092,x1091),x1091,f3(x1092,x1091,x1092,x1091),x1091))),
% 1.78/1.90 inference(rename_variables,[],[49])).
% 1.78/1.90 cnf(113,plain,
% 1.78/1.90 (P2(x1131,a1,x1131,a2)),
% 1.78/1.90 inference(scs_inference,[],[53,39,90,92,94,96,106,38,98,36,37,46,105,42,84,49,48,2,59,58,35,34,33,32,31,30,29,3,71,70,68,67])).
% 1.78/1.90 cnf(125,plain,
% 1.78/1.90 (E(x1251,f3(x1252,x1251,x1253,x1253))),
% 1.78/1.90 inference(scs_inference,[],[53,39,90,92,94,96,106,38,98,36,37,46,105,42,84,49,48,2,59,58,35,34,33,32,31,30,29,3,71,70,68,67,66,65,64,63,62,57])).
% 1.78/1.90 cnf(126,plain,
% 1.78/1.90 (P2(x1261,f3(x1262,x1261,x1263,x1264),x1263,x1264)),
% 1.78/1.90 inference(rename_variables,[],[46])).
% 1.78/1.90 cnf(151,plain,
% 1.78/1.90 (E(f3(x1511,a1,x1512,x1513),f3(x1511,a2,x1512,x1513))),
% 1.78/1.90 inference(scs_inference,[],[53,39,90,92,94,96,106,38,98,36,37,46,105,42,84,49,48,2,59,58,35,34,33,32,31,30,29,3,71,70,68,67,66,65,64,63,62,57,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 1.78/1.90 cnf(157,plain,
% 1.78/1.90 (P1(x1571,f8(x1572,x1571,x1571,x1571,x1572),x1572)),
% 1.78/1.90 inference(scs_inference,[],[53,39,90,92,94,96,106,38,98,100,36,37,46,105,42,84,49,48,2,59,58,35,34,33,32,31,30,29,3,71,70,68,67,66,65,64,63,62,57,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,55,60,76])).
% 1.78/1.90 cnf(165,plain,
% 1.78/1.90 (P1(x1651,x1652,x1652)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(167,plain,
% 1.78/1.90 (P1(a11,a1,f4(a11,a11,a1,a1,a1))),
% 1.78/1.90 inference(scs_inference,[],[53,39,90,92,94,96,106,38,98,100,165,36,37,46,105,42,84,49,48,2,59,58,35,34,33,32,31,30,29,3,71,70,68,67,66,65,64,63,62,57,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,55,60,76,75,69,78,77])).
% 1.78/1.90 cnf(169,plain,
% 1.78/1.90 (P1(x1691,x1692,x1692)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(173,plain,
% 1.78/1.90 (P1(x1731,x1732,x1732)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(175,plain,
% 1.78/1.90 (P2(f3(x1751,x1751,x1751,x1751),x1751,f3(x1751,x1751,x1751,x1751),f3(f3(x1751,x1751,x1751,x1751),x1751,f3(x1751,x1751,x1751,x1751),x1751))),
% 1.78/1.90 inference(scs_inference,[],[53,39,90,92,94,96,106,40,38,98,100,165,169,173,36,37,46,105,44,42,84,49,109,48,2,59,58,35,34,33,32,31,30,29,3,71,70,68,67,66,65,64,63,62,57,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,55,60,76,75,69,78,77,79,72])).
% 1.78/1.90 cnf(177,plain,
% 1.78/1.90 (P1(x1771,x1772,x1772)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(182,plain,
% 1.78/1.90 (P1(x1821,x1822,x1822)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(184,plain,
% 1.78/1.90 (P2(x1841,x1841,x1841,f6(x1841,x1841,x1841,x1841,x1841,x1841))),
% 1.78/1.90 inference(scs_inference,[],[53,39,90,92,94,96,106,40,38,98,100,165,169,173,177,182,36,37,46,105,44,42,84,49,109,48,2,59,58,35,34,33,32,31,30,29,3,71,70,68,67,66,65,64,63,62,57,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,55,60,76,75,69,78,77,79,72,61,81])).
% 1.78/1.90 cnf(187,plain,
% 1.78/1.90 (P1(x1871,x1872,x1872)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(188,plain,
% 1.78/1.90 (P2(x1881,x1882,x1882,x1881)),
% 1.78/1.90 inference(rename_variables,[],[39])).
% 1.78/1.90 cnf(190,plain,
% 1.78/1.90 (P1(x1901,f6(x1901,x1901,x1901,x1901,x1901,x1901),x1901)),
% 1.78/1.90 inference(scs_inference,[],[53,39,90,92,94,96,106,188,40,38,98,100,165,169,173,177,182,187,36,37,46,105,44,42,84,49,109,48,2,59,58,35,34,33,32,31,30,29,3,71,70,68,67,66,65,64,63,62,57,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,55,60,76,75,69,78,77,79,72,61,81,80])).
% 1.78/1.90 cnf(198,plain,
% 1.78/1.90 (E(a2,a11)+E(f3(a2,a11,a11,a1),a1)),
% 1.78/1.90 inference(scs_inference,[],[53,39,90,92,94,96,106,188,40,38,98,100,165,169,173,177,182,187,36,37,46,105,44,42,84,49,109,48,2,59,58,35,34,33,32,31,30,29,3,71,70,68,67,66,65,64,63,62,57,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,55,60,76,75,69,78,77,79,72,61,81,80,54,56])).
% 1.78/1.90 cnf(200,plain,
% 1.78/1.90 (E(f3(x2001,a11,a11,x2002),x2002)+P1(a11,a1,a12)+~P2(a1,f3(x2001,a11,a11,x2002),a1,x2002)+P1(a1,a12,a11)+~P2(a12,f3(x2001,a11,a11,x2002),a12,x2002)),
% 1.78/1.90 inference(scs_inference,[],[53,39,90,92,94,96,106,188,40,38,98,100,165,169,173,177,182,187,36,37,46,105,126,44,42,84,49,109,48,2,59,58,35,34,33,32,31,30,29,3,71,70,68,67,66,65,64,63,62,57,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,55,60,76,75,69,78,77,79,72,61,81,80,54,56,73])).
% 1.78/1.90 cnf(203,plain,
% 1.78/1.90 (~E(a1,f3(a12,a11,x2031,x2032))),
% 1.78/1.90 inference(scs_inference,[],[53,59])).
% 1.78/1.90 cnf(207,plain,
% 1.78/1.90 (P1(a11,x2071,f5(a11,x2071,a1,f3(x2071,a1,x2072,x2073),a1))),
% 1.78/1.90 inference(scs_inference,[],[53,38,44,97,59,58,78])).
% 1.78/1.90 cnf(208,plain,
% 1.78/1.90 (P1(x2081,x2082,f3(x2081,x2082,x2083,x2084))),
% 1.78/1.90 inference(rename_variables,[],[44])).
% 1.78/1.90 cnf(209,plain,
% 1.78/1.90 (P1(x2091,x2092,x2092)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(212,plain,
% 1.78/1.90 (P1(x2121,x2122,f3(x2121,x2122,x2123,x2124))),
% 1.78/1.90 inference(rename_variables,[],[44])).
% 1.78/1.90 cnf(213,plain,
% 1.78/1.90 (P1(x2131,x2132,x2132)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(215,plain,
% 1.78/1.90 (P1(f3(x2151,x2152,x2153,x2154),f8(x2151,x2152,f3(x2151,x2152,x2153,x2154),f3(x2151,x2152,x2153,x2154),x2155),x2151)),
% 1.78/1.90 inference(scs_inference,[],[53,38,209,213,44,208,212,97,59,58,78,77,75])).
% 1.78/1.90 cnf(216,plain,
% 1.78/1.90 (P1(x2161,x2162,x2162)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(218,plain,
% 1.78/1.90 (~P2(a11,a1,x2181,x2181)),
% 1.78/1.90 inference(scs_inference,[],[53,38,209,213,44,208,212,97,59,58,78,77,75,57])).
% 1.78/1.90 cnf(220,plain,
% 1.78/1.90 (E(x2201,f6(x2201,x2201,x2201,x2201,x2201,x2201))),
% 1.78/1.90 inference(scs_inference,[],[53,38,209,213,44,208,212,190,97,59,58,78,77,75,57,54])).
% 1.78/1.90 cnf(222,plain,
% 1.78/1.90 (~P2(a11,f3(x2221,a1,x2222,x2222),x2223,x2223)),
% 1.78/1.90 inference(scs_inference,[],[53,38,209,213,44,208,212,42,190,97,59,58,78,77,75,57,54,33])).
% 1.78/1.90 cnf(223,plain,
% 1.78/1.90 (E(f3(x2231,x2232,x2233,x2233),x2232)),
% 1.78/1.90 inference(rename_variables,[],[42])).
% 1.78/1.90 cnf(225,plain,
% 1.78/1.90 (P1(x2251,x2252,x2252)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(231,plain,
% 1.78/1.90 (P1(x2311,x2312,x2312)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(235,plain,
% 1.78/1.90 (P1(x2351,x2352,x2352)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(237,plain,
% 1.78/1.90 (P1(x2371,x2372,x2372)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(240,plain,
% 1.78/1.90 (P2(x2401,f3(x2402,x2401,x2403,x2404),x2403,x2404)),
% 1.78/1.90 inference(rename_variables,[],[46])).
% 1.78/1.90 cnf(252,plain,
% 1.78/1.90 (~P1(f3(x2521,a12,x2522,x2522),a11,a1)),
% 1.78/1.90 inference(scs_inference,[],[53,41,39,40,38,209,213,216,225,231,237,235,46,44,208,212,42,223,184,190,97,59,58,78,77,75,57,54,33,76,69,79,81,80,71,65,62,29])).
% 1.78/1.90 cnf(253,plain,
% 1.78/1.90 (E(f3(x2531,x2532,x2533,x2533),x2532)),
% 1.78/1.90 inference(rename_variables,[],[42])).
% 1.78/1.90 cnf(254,plain,
% 1.78/1.90 (~P2(x2541,f3(x2542,x2541,a11,a1),x2543,x2543)),
% 1.78/1.90 inference(scs_inference,[],[53,41,39,40,38,209,213,216,225,231,237,235,46,240,44,208,212,42,223,184,190,97,59,58,78,77,75,57,54,33,76,69,79,81,80,71,65,62,29,70])).
% 1.78/1.90 cnf(257,plain,
% 1.78/1.90 (~P2(f3(x2571,a1,x2572,x2572),a11,x2573,x2573)),
% 1.78/1.90 inference(scs_inference,[],[53,41,39,40,38,209,213,216,225,231,237,235,46,240,44,208,212,42,223,184,190,97,59,58,78,77,75,57,54,33,76,69,79,81,80,71,65,62,29,70,67])).
% 1.78/1.90 cnf(259,plain,
% 1.78/1.90 (~E(a12,a2)),
% 1.78/1.90 inference(scs_inference,[],[53,41,39,40,38,209,213,216,225,231,237,235,46,240,44,208,212,42,223,184,190,97,101,59,58,78,77,75,57,54,33,76,69,79,81,80,71,65,62,29,70,67,2])).
% 1.78/1.90 cnf(260,plain,
% 1.78/1.90 (~P2(a11,a1,x2601,f3(x2602,x2601,x2603,x2603))),
% 1.78/1.90 inference(scs_inference,[],[53,41,39,40,38,209,213,216,225,231,237,235,46,240,44,208,212,42,223,253,184,190,97,101,59,58,78,77,75,57,54,33,76,69,79,81,80,71,65,62,29,70,67,2,35])).
% 1.78/1.90 cnf(263,plain,
% 1.78/1.90 (E(f3(x2631,x2632,x2633,x2633),x2632)),
% 1.78/1.90 inference(rename_variables,[],[42])).
% 1.78/1.90 cnf(264,plain,
% 1.78/1.90 (~E(f3(x2641,a11,x2642,x2642),a1)),
% 1.78/1.90 inference(scs_inference,[],[53,41,39,40,38,209,213,216,225,231,237,235,46,240,44,208,212,42,223,253,184,190,125,97,101,59,58,78,77,75,57,54,33,76,69,79,81,80,71,65,62,29,70,67,2,35,34,32,3])).
% 1.78/1.90 cnf(266,plain,
% 1.78/1.90 (~P1(a12,a11,f3(x2661,a1,x2662,x2662))),
% 1.78/1.90 inference(scs_inference,[],[53,41,39,40,38,209,213,216,225,231,237,235,46,240,44,208,212,42,223,253,263,184,190,125,97,101,59,58,78,77,75,57,54,33,76,69,79,81,80,71,65,62,29,70,67,2,35,34,32,3,31])).
% 1.78/1.90 cnf(287,plain,
% 1.78/1.90 (P1(x2871,x2872,x2872)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(289,plain,
% 1.78/1.90 (P2(x2891,x2892,f3(f3(x2891,x2892,x2891,x2892),x2892,f3(x2891,x2892,x2891,x2892),x2892),x2892)),
% 1.78/1.90 inference(scs_inference,[],[38,49,264,78,66])).
% 1.78/1.90 cnf(291,plain,
% 1.78/1.90 (P1(x2911,a2,f3(x2911,a1,x2912,x2913))),
% 1.78/1.90 inference(scs_inference,[],[38,49,151,264,78,66,59])).
% 1.78/1.90 cnf(294,plain,
% 1.78/1.90 (P1(x2941,x2942,x2942)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(306,plain,
% 1.78/1.90 (~P2(x3061,x3061,x3062,f3(x3063,x3062,a11,a1))),
% 1.78/1.90 inference(scs_inference,[],[39,38,287,49,175,254,151,264,78,66,59,77,68,62,64,63,67,70])).
% 1.78/1.90 cnf(307,plain,
% 1.78/1.90 (~P2(x3071,f3(x3072,x3071,a11,a1),x3073,x3073)),
% 1.78/1.90 inference(rename_variables,[],[254])).
% 1.78/1.90 cnf(308,plain,
% 1.78/1.90 (P2(x3081,x3082,x3082,x3081)),
% 1.78/1.90 inference(rename_variables,[],[39])).
% 1.78/1.90 cnf(313,plain,
% 1.78/1.90 (P1(x3131,x3132,x3132)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(317,plain,
% 1.78/1.90 (~P2(x3171,x3171,f3(x3172,x3173,a11,a1),x3173)),
% 1.78/1.90 inference(scs_inference,[],[39,308,38,287,294,49,175,254,151,264,78,66,59,77,68,62,64,63,67,70,54,79,65,71])).
% 1.78/1.90 cnf(318,plain,
% 1.78/1.90 (P2(x3181,x3182,x3182,x3181)),
% 1.78/1.90 inference(rename_variables,[],[39])).
% 1.78/1.90 cnf(320,plain,
% 1.78/1.90 (P2(x3201,f3(x3201,x3201,x3202,x3203),x3201,f6(x3201,x3201,x3201,f3(x3201,x3201,x3202,x3203),f3(x3201,x3201,x3202,x3203),f3(x3201,x3201,x3202,x3203)))),
% 1.78/1.90 inference(scs_inference,[],[39,308,318,40,38,287,294,313,44,49,175,254,151,264,78,66,59,77,68,62,64,63,67,70,54,79,65,71,81])).
% 1.78/1.90 cnf(321,plain,
% 1.78/1.90 (P1(x3211,x3212,f3(x3211,x3212,x3213,x3214))),
% 1.78/1.90 inference(rename_variables,[],[44])).
% 1.78/1.90 cnf(322,plain,
% 1.78/1.90 (P2(x3221,x3222,x3222,x3221)),
% 1.78/1.90 inference(rename_variables,[],[39])).
% 1.78/1.90 cnf(323,plain,
% 1.78/1.90 (P1(x3231,x3232,x3232)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(324,plain,
% 1.78/1.90 (P2(x3241,x3242,x3241,x3242)),
% 1.78/1.90 inference(rename_variables,[],[40])).
% 1.78/1.90 cnf(326,plain,
% 1.78/1.90 (P1(x3261,f6(x3261,x3261,x3261,f3(x3261,x3261,x3262,x3263),f3(x3261,x3261,x3262,x3263),f3(x3261,x3261,x3262,x3263)),f3(x3261,x3261,x3262,x3263))),
% 1.78/1.90 inference(scs_inference,[],[39,308,318,322,40,324,38,287,294,313,323,44,321,49,175,254,151,264,78,66,59,77,68,62,64,63,67,70,54,79,65,71,81,80])).
% 1.78/1.90 cnf(328,plain,
% 1.78/1.90 (P2(x3281,x3282,x3282,x3281)),
% 1.78/1.90 inference(rename_variables,[],[39])).
% 1.78/1.90 cnf(329,plain,
% 1.78/1.90 (P1(x3291,x3292,x3292)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(333,plain,
% 1.78/1.90 (P2(x3331,x3332,x3332,x3331)),
% 1.78/1.90 inference(rename_variables,[],[39])).
% 1.78/1.90 cnf(334,plain,
% 1.78/1.90 (P2(x3341,x3342,f3(f3(x3342,x3343,x3342,x3343),x3343,f3(x3342,x3343,x3342,x3343),x3343),x3341)),
% 1.78/1.90 inference(scs_inference,[],[48,39,308,318,322,328,333,40,324,38,287,294,313,323,44,321,49,175,254,151,264,78,66,59,77,68,62,64,63,67,70,54,79,65,71,81,80,34,33])).
% 1.78/1.90 cnf(335,plain,
% 1.78/1.90 (P2(x3351,x3352,x3352,x3351)),
% 1.78/1.90 inference(rename_variables,[],[39])).
% 1.78/1.90 cnf(336,plain,
% 1.78/1.90 (P1(x3361,a1,a2)),
% 1.78/1.90 inference(scs_inference,[],[36,48,39,308,318,322,328,333,40,324,38,287,294,313,323,329,44,321,49,175,254,151,264,78,66,59,77,68,62,64,63,67,70,54,79,65,71,81,80,34,33,31])).
% 1.78/1.90 cnf(337,plain,
% 1.78/1.90 (P1(x3371,x3372,x3372)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(338,plain,
% 1.78/1.90 (P1(x3381,a2,a1)),
% 1.78/1.90 inference(scs_inference,[],[36,48,39,308,318,322,328,333,40,324,38,287,294,313,323,329,337,44,321,49,175,254,151,264,78,66,59,77,68,62,64,63,67,70,54,79,65,71,81,80,34,33,31,30])).
% 1.78/1.90 cnf(339,plain,
% 1.78/1.90 (P1(x3391,x3392,x3392)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(341,plain,
% 1.78/1.90 (P2(x3411,x3412,x3412,x3411)),
% 1.78/1.90 inference(rename_variables,[],[39])).
% 1.78/1.90 cnf(344,plain,
% 1.78/1.90 (E(f3(f3(a1,x3441,a1,x3441),x3441,f3(a1,x3441,a1,x3441),x3441),a2)),
% 1.78/1.90 inference(scs_inference,[],[36,48,39,308,318,322,328,333,335,341,40,324,38,287,294,313,323,329,337,44,321,49,175,254,151,264,78,66,59,77,68,62,64,63,67,70,54,79,65,71,81,80,34,33,31,30,32,35,3])).
% 1.78/1.90 cnf(345,plain,
% 1.78/1.90 (E(f3(f3(x3451,x3452,x3451,x3452),x3452,f3(x3451,x3452,x3451,x3452),x3452),x3451)),
% 1.78/1.90 inference(rename_variables,[],[48])).
% 1.78/1.90 cnf(346,plain,
% 1.78/1.90 (E(x3461,f3(f3(x3461,x3462,x3461,x3462),x3462,f3(x3461,x3462,x3461,x3462),x3462))),
% 1.78/1.90 inference(scs_inference,[],[36,48,345,39,308,318,322,328,333,335,341,40,324,38,287,294,313,323,329,337,44,321,49,175,254,151,264,78,66,59,77,68,62,64,63,67,70,54,79,65,71,81,80,34,33,31,30,32,35,3,2])).
% 1.78/1.90 cnf(354,plain,
% 1.78/1.90 (~E(f3(a1,f3(x3541,a11,x3542,x3542),a1,f3(x3541,a11,x3542,x3542)),f3(x3541,a11,x3542,x3542))),
% 1.78/1.90 inference(scs_inference,[],[36,48,345,39,308,318,322,328,333,335,341,40,324,41,38,287,294,313,323,329,337,339,44,321,49,175,254,307,151,89,264,203,78,66,59,77,68,62,64,63,67,70,54,79,65,71,81,80,34,33,31,30,32,35,3,2,74,58])).
% 1.78/1.90 cnf(356,plain,
% 1.78/1.90 (~P2(f3(x3561,a11,x3562,x3562),a1,x3563,x3563)),
% 1.78/1.90 inference(scs_inference,[],[36,48,345,39,308,318,322,328,333,335,341,40,324,41,38,287,294,313,323,329,337,339,44,321,49,175,254,307,151,89,264,203,78,66,59,77,68,62,64,63,67,70,54,79,65,71,81,80,34,33,31,30,32,35,3,2,74,58,57])).
% 1.78/1.90 cnf(360,plain,
% 1.78/1.90 (~E(a1,f3(x3601,a11,x3602,x3602))),
% 1.78/1.90 inference(scs_inference,[],[36,50,51,52,48,345,39,308,318,322,328,333,335,341,40,324,41,38,287,294,313,323,329,337,339,44,321,49,175,254,307,151,89,264,203,78,66,59,77,68,62,64,63,67,70,54,79,65,71,81,80,34,33,31,30,32,35,3,2,74,58,57,73,55])).
% 1.78/1.90 cnf(373,plain,
% 1.78/1.90 (~P2(a1,f3(x3731,a11,x3732,x3732),x3733,x3733)),
% 1.78/1.90 inference(scs_inference,[],[82,356,55,66])).
% 1.78/1.90 cnf(375,plain,
% 1.78/1.90 (E(a2,f3(a1,a2,a1,a2))),
% 1.78/1.90 inference(scs_inference,[],[82,356,344,55,66,58])).
% 1.78/1.90 cnf(380,plain,
% 1.78/1.90 (~P2(f3(x3801,x3802,a11,a1),x3802,x3803,x3803)),
% 1.78/1.90 inference(scs_inference,[],[82,50,306,356,344,55,66,58,59,62])).
% 1.78/1.90 cnf(382,plain,
% 1.78/1.90 (P2(x3821,x3822,x3823,f6(x3823,x3823,x3823,f3(x3823,x3823,x3821,x3822),f3(x3823,x3823,x3821,x3822),f3(x3823,x3823,x3821,x3822)))),
% 1.78/1.90 inference(scs_inference,[],[82,50,46,320,306,356,344,55,66,58,59,62,70])).
% 1.78/1.90 cnf(384,plain,
% 1.78/1.90 (P2(x3841,f3(x3842,x3841,x3843,x3844),x3843,x3844)),
% 1.78/1.90 inference(rename_variables,[],[46])).
% 1.78/1.90 cnf(386,plain,
% 1.78/1.90 (P1(x3861,f6(x3861,x3861,x3861,f3(x3861,x3861,x3861,x3862),f3(x3861,x3861,x3861,x3862),x3862),x3862)),
% 1.78/1.90 inference(scs_inference,[],[82,50,46,384,39,38,44,320,306,356,344,55,66,58,59,62,70,80])).
% 1.78/1.90 cnf(387,plain,
% 1.78/1.90 (P2(x3871,x3872,x3872,x3871)),
% 1.78/1.90 inference(rename_variables,[],[39])).
% 1.78/1.90 cnf(388,plain,
% 1.78/1.90 (P1(x3881,x3882,x3882)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(389,plain,
% 1.78/1.90 (P2(x3891,f3(x3892,x3891,x3893,x3894),x3893,x3894)),
% 1.78/1.90 inference(rename_variables,[],[46])).
% 1.78/1.90 cnf(390,plain,
% 1.78/1.90 (P1(x3901,x3902,f3(x3901,x3902,x3903,x3904))),
% 1.78/1.90 inference(rename_variables,[],[44])).
% 1.78/1.90 cnf(398,plain,
% 1.78/1.90 (E(x3981,f8(x3981,x3981,x3981,x3981,x3981))),
% 1.78/1.90 inference(scs_inference,[],[82,50,46,384,39,38,44,320,157,306,222,356,260,344,55,66,58,59,62,70,80,64,63,67,54])).
% 1.78/1.90 cnf(401,plain,
% 1.78/1.90 (P2(x4011,f3(x4011,x4011,x4011,x4012),x4011,f6(x4011,x4011,x4011,f3(x4011,x4011,x4011,x4012),f3(x4011,x4011,x4011,x4012),x4012))),
% 1.78/1.90 inference(scs_inference,[],[82,50,46,384,389,39,387,38,388,44,390,320,157,306,222,356,260,344,55,66,58,59,62,70,80,64,63,67,54,81])).
% 1.78/1.90 cnf(402,plain,
% 1.78/1.90 (P2(x4021,x4022,x4022,x4021)),
% 1.78/1.90 inference(rename_variables,[],[39])).
% 1.78/1.90 cnf(403,plain,
% 1.78/1.90 (P1(x4031,x4032,x4032)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(404,plain,
% 1.78/1.90 (P2(x4041,f3(x4042,x4041,x4043,x4044),x4043,x4044)),
% 1.78/1.90 inference(rename_variables,[],[46])).
% 1.78/1.90 cnf(409,plain,
% 1.78/1.90 (P2(x4091,f3(x4092,x4091,x4093,x4093),x4094,x4094)),
% 1.78/1.90 inference(scs_inference,[],[82,50,46,384,389,404,39,387,41,38,388,44,390,320,157,306,222,356,260,344,55,66,58,59,62,70,80,64,63,67,54,81,65,71])).
% 1.78/1.90 cnf(411,plain,
% 1.78/1.90 (P2(x4111,f3(x4112,x4111,x4113,x4114),x4113,x4114)),
% 1.78/1.90 inference(rename_variables,[],[46])).
% 1.78/1.90 cnf(414,plain,
% 1.78/1.90 (P1(x4141,x4142,x4142)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(415,plain,
% 1.78/1.90 (~E(f3(x4151,x4152,x4153,f3(x4154,x4153,a11,a1)),x4152)),
% 1.78/1.90 inference(scs_inference,[],[82,50,46,384,389,404,411,39,387,41,38,388,403,44,390,320,157,306,222,356,260,344,55,66,58,59,62,70,80,64,63,67,54,81,65,71,31,33])).
% 1.78/1.90 cnf(416,plain,
% 1.78/1.90 (P2(x4161,f3(x4162,x4161,x4163,x4164),x4163,x4164)),
% 1.78/1.90 inference(rename_variables,[],[46])).
% 1.78/1.90 cnf(418,plain,
% 1.78/1.90 (P1(x4181,x4182,x4182)),
% 1.78/1.90 inference(rename_variables,[],[38])).
% 1.78/1.90 cnf(419,plain,
% 1.78/1.90 (~E(x4191,f3(x4192,x4191,a11,a1))),
% 1.78/1.90 inference(scs_inference,[],[82,50,46,384,389,404,411,39,387,402,41,38,388,403,414,44,390,320,157,306,222,356,260,344,55,66,58,59,62,70,80,64,63,67,54,81,65,71,31,33,30,35])).
% 1.78/1.90 cnf(420,plain,
% 1.78/1.90 (P2(x4201,x4202,x4202,x4201)),
% 1.78/1.90 inference(rename_variables,[],[39])).
% 1.78/1.90 cnf(421,plain,
% 1.78/1.90 (~P2(x4211,x4211,x4212,f3(x4213,x4212,a11,a1))),
% 1.78/1.90 inference(rename_variables,[],[306])).
% 1.78/1.90 cnf(422,plain,
% 1.78/1.90 (~E(f3(x4221,x4222,a11,a1),x4222)),
% 1.78/1.90 inference(scs_inference,[],[82,50,46,384,389,404,411,39,387,402,420,41,38,388,403,414,44,390,320,157,306,421,222,356,260,344,55,66,58,59,62,70,80,64,63,67,54,81,65,71,31,33,30,35,34])).
% 1.78/1.90 cnf(424,plain,
% 1.78/1.90 (~P2(x4241,x4241,x4242,f3(x4243,x4242,a11,a1))),
% 1.78/1.90 inference(rename_variables,[],[306])).
% 1.78/1.90 cnf(425,plain,
% 1.78/1.90 (~E(x4251,f3(x4252,x4251,x4253,f3(x4254,x4253,a11,a1)))),
% 1.78/1.90 inference(scs_inference,[],[82,50,46,384,389,404,411,416,39,387,402,420,41,38,388,403,414,44,390,320,157,306,421,424,222,356,260,344,55,66,58,59,62,70,80,64,63,67,54,81,65,71,31,33,30,35,34,32])).
% 1.78/1.90 cnf(426,plain,
% 1.78/1.90 (P2(x4261,f3(x4262,x4261,x4263,x4264),x4263,x4264)),
% 1.78/1.90 inference(rename_variables,[],[46])).
% 1.78/1.90 cnf(429,plain,
% 1.78/1.90 (~E(f3(x4291,a11,x4292,x4292),f3(a1,f3(x4291,a11,x4292,x4292),a1,f3(x4291,a11,x4292,x4292)))),
% 1.78/1.90 inference(scs_inference,[],[36,82,50,46,384,389,404,411,416,39,387,402,420,41,38,388,403,414,44,390,320,157,306,421,424,354,222,356,260,344,259,55,66,58,59,62,70,80,64,63,67,54,81,65,71,31,33,30,35,34,32,3,2])).
% 1.78/1.90 cnf(433,plain,
% 1.78/1.90 (~P2(a1,a11,f3(x4331,x4332,x4333,x4333),x4332)),
% 1.78/1.90 inference(scs_inference,[],[36,82,50,46,384,389,404,411,416,39,387,402,420,41,38,388,403,414,418,44,390,320,157,306,421,424,354,222,356,260,344,259,101,55,66,58,59,62,70,80,64,63,67,54,81,65,71,31,33,30,35,34,32,3,2,61,68])).
% 1.78/1.90 cnf(435,plain,
% 1.78/1.90 (E(f3(x4351,a9,a9,x4352),x4352)+~P2(a7,f3(x4351,a9,a9,x4352),a7,x4352)+~P2(a10,f3(x4351,a9,a9,x4352),a10,x4352)),
% 1.78/1.90 inference(scs_inference,[],[36,82,50,51,52,46,384,389,404,411,416,426,39,387,402,420,41,38,388,403,414,418,44,390,320,157,306,421,424,354,222,356,260,344,259,101,55,66,58,59,62,70,80,64,63,67,54,81,65,71,31,33,30,35,34,32,3,2,61,68,73])).
% 1.78/1.90 cnf(442,plain,
% 1.78/1.90 (~E(f3(f3(x4421,x4422,a11,a1),x4422,f3(x4421,x4422,a11,a1),x4422),x4422)),
% 1.78/1.90 inference(scs_inference,[],[419,58])).
% 1.78/1.90 cnf(446,plain,
% 1.78/1.90 (P2(f3(x4461,x4461,x4461,x4462),x4461,f6(x4461,x4461,x4461,f3(x4461,x4461,x4461,x4462),f3(x4461,x4461,x4461,x4462),x4462),x4461)),
% 1.78/1.90 inference(scs_inference,[],[401,419,346,58,59,66])).
% 1.78/1.90 cnf(448,plain,
% 1.78/1.90 (P1(a1,a11,a1)),
% 1.78/1.90 inference(scs_inference,[],[37,82,401,419,346,58,59,66,29])).
% 1.78/1.90 cnf(449,plain,
% 1.78/1.90 (~P2(a2,f3(f3(x4491,a2,a11,a1),a1,x4492,f3(x4493,x4492,a11,a1)),a2,a1)),
% 1.78/1.90 inference(scs_inference,[],[37,82,401,415,419,422,291,338,346,58,59,66,29,61])).
% 1.78/1.90 cnf(451,plain,
% 1.78/1.90 (~E(f3(x4511,x4512,x4513,f3(x4514,x4513,a11,a1)),x4512)),
% 1.78/1.90 inference(rename_variables,[],[415])).
% 1.78/1.90 cnf(454,plain,
% 1.78/1.90 (~P1(x4541,x4542,x4543)+E(x4543,x4544)+~P1(x4541,x4542,x4544)+~P2(x4542,x4543,x4542,x4544)+E(x4541,x4542)),
% 1.78/1.90 inference(rename_variables,[],[61])).
% 1.78/1.90 cnf(455,plain,
% 1.78/1.90 (P2(f6(x4551,x4551,x4551,f3(x4551,x4551,x4551,x4552),f3(x4551,x4551,x4551,x4552),x4552),x4551,f3(x4551,x4551,x4551,x4552),x4551)),
% 1.78/1.90 inference(scs_inference,[],[37,82,401,415,419,422,291,338,346,58,59,66,29,61,62])).
% 1.78/1.90 cnf(457,plain,
% 1.78/1.90 (~P2(x4571,f3(x4572,x4571,f3(x4573,x4574,a11,a1),x4574),x4575,x4575)),
% 1.78/1.90 inference(scs_inference,[],[37,82,46,401,415,380,419,422,291,338,346,58,59,66,29,61,62,70])).
% 1.78/1.90 cnf(458,plain,
% 1.78/1.90 (P2(x4581,f3(x4582,x4581,x4583,x4584),x4583,x4584)),
% 1.78/1.90 inference(rename_variables,[],[46])).
% 1.78/1.90 cnf(469,plain,
% 1.78/1.90 (P2(x4691,f3(x4691,x4691,x4691,x4692),x4691,f6(x4691,x4691,x4691,f3(x4691,x4691,x4691,x4692),f3(x4691,x4691,x4691,x4692),x4692))),
% 1.78/1.91 inference(rename_variables,[],[401])).
% 1.78/1.91 cnf(476,plain,
% 1.78/1.91 (~P2(f3(x4761,a1,a11,a1),a2,x4762,x4762)),
% 1.78/1.91 inference(scs_inference,[],[37,82,46,401,469,415,451,380,419,422,291,338,346,254,58,59,66,29,61,62,70,67,64,63,68,71,54,65,33])).
% 1.78/1.91 cnf(477,plain,
% 1.78/1.91 (~P2(f3(x4771,x4772,a11,a1),x4772,x4773,x4773)),
% 1.78/1.91 inference(rename_variables,[],[380])).
% 1.78/1.91 cnf(479,plain,
% 1.78/1.91 (E(f3(x4791,x4792,x4793,x4793),x4792)),
% 1.78/1.91 inference(rename_variables,[],[42])).
% 1.78/1.91 cnf(481,plain,
% 1.78/1.91 (E(f3(x4811,x4812,x4813,x4813),x4812)),
% 1.78/1.91 inference(rename_variables,[],[42])).
% 1.78/1.91 cnf(483,plain,
% 1.78/1.91 (~P2(f3(x4831,x4832,a11,a1),x4832,x4833,x4833)),
% 1.78/1.91 inference(rename_variables,[],[380])).
% 1.78/1.91 cnf(485,plain,
% 1.78/1.91 (~P2(f3(x4851,x4852,a11,a1),x4852,x4853,x4853)),
% 1.78/1.91 inference(rename_variables,[],[380])).
% 1.78/1.91 cnf(486,plain,
% 1.78/1.91 (E(f8(x4861,x4861,x4861,x4861,x4861),x4861)),
% 1.78/1.91 inference(scs_inference,[],[37,82,51,42,479,46,401,469,398,415,451,380,477,483,419,422,291,338,346,254,58,59,66,29,61,62,70,67,64,63,68,71,54,65,33,31,30,35,34,2])).
% 1.78/1.91 cnf(487,plain,
% 1.78/1.91 (~P2(f3(x4871,f3(x4872,x4873,a11,a1),x4874,x4874),x4873,x4875,x4875)),
% 1.78/1.91 inference(scs_inference,[],[37,82,51,42,479,481,46,401,469,398,415,451,380,477,483,485,419,422,291,338,346,254,58,59,66,29,61,62,70,67,64,63,68,71,54,65,33,31,30,35,34,2,32])).
% 1.78/1.91 cnf(489,plain,
% 1.78/1.91 (~E(a1,f3(x4891,a2,x4892,f3(x4893,x4892,a11,a1)))),
% 1.78/1.91 inference(scs_inference,[],[37,82,51,42,479,481,46,401,469,398,415,451,425,380,477,483,485,419,422,291,338,346,254,58,59,66,29,61,62,70,67,64,63,68,71,54,65,33,31,30,35,34,2,32,3])).
% 1.78/1.91 cnf(490,plain,
% 1.78/1.91 (~E(x4901,f3(x4902,x4901,x4903,f3(x4904,x4903,a11,a1)))),
% 1.78/1.91 inference(rename_variables,[],[425])).
% 1.78/1.91 cnf(500,plain,
% 1.78/1.91 (E(f6(x5001,x5002,a2,x5003,x5004,x5005),f6(x5001,x5002,a1,x5003,x5004,x5005))),
% 1.78/1.91 inference(scs_inference,[],[37,82,51,42,479,481,46,401,469,398,415,451,425,380,477,483,485,419,422,291,338,346,254,58,59,66,29,61,62,70,67,64,63,68,71,54,65,33,31,30,35,34,2,32,3,60,28,25,24,22,19,18,14,10])).
% 1.78/1.91 cnf(501,plain,
% 1.78/1.91 (E(f6(a2,x5011,x5012,x5013,x5014,x5015),f6(a1,x5011,x5012,x5013,x5014,x5015))),
% 1.78/1.91 inference(scs_inference,[],[37,82,51,42,479,481,46,401,469,398,415,451,425,380,477,483,485,419,422,291,338,346,254,58,59,66,29,61,62,70,67,64,63,68,71,54,65,33,31,30,35,34,2,32,3,60,28,25,24,22,19,18,14,10,8])).
% 1.78/1.91 cnf(502,plain,
% 1.78/1.91 (E(f3(x5021,x5022,x5023,a2),f3(x5021,x5022,x5023,a1))),
% 1.78/1.91 inference(scs_inference,[],[37,82,51,42,479,481,46,401,469,398,415,451,425,380,477,483,485,419,422,291,338,346,254,58,59,66,29,61,62,70,67,64,63,68,71,54,65,33,31,30,35,34,2,32,3,60,28,25,24,22,19,18,14,10,8,7])).
% 1.78/1.91 cnf(516,plain,
% 1.78/1.91 (E(f3(a2,x5161,x5162,x5163),f3(a1,x5161,x5162,x5163))),
% 1.78/1.91 inference(scs_inference,[],[37,82,51,42,479,481,46,401,469,398,415,451,425,380,477,483,485,419,422,291,338,346,254,58,59,66,29,61,62,70,67,64,63,68,71,54,65,33,31,30,35,34,2,32,3,60,28,25,24,22,19,18,14,10,8,7,6,27,26,23,21,20,17,16,15,13,12,11,9,4])).
% 1.78/1.91 cnf(517,plain,
% 1.78/1.91 (E(f3(x5171,a2,x5172,x5173),f3(x5171,a1,x5172,x5173))),
% 1.78/1.91 inference(scs_inference,[],[37,82,51,42,479,481,46,401,469,398,415,451,425,380,477,483,485,419,422,291,338,346,254,58,59,66,29,61,62,70,67,64,63,68,71,54,65,33,31,30,35,34,2,32,3,60,28,25,24,22,19,18,14,10,8,7,6,27,26,23,21,20,17,16,15,13,12,11,9,4,5])).
% 1.78/1.91 cnf(521,plain,
% 1.78/1.91 (P2(x5211,f3(x5212,x5211,x5213,x5214),x5213,x5214)),
% 1.78/1.91 inference(rename_variables,[],[46])).
% 1.78/1.91 cnf(526,plain,
% 1.78/1.91 (~P1(a2,a11,f3(x5261,a1,x5262,f3(x5263,x5262,a11,a1)))+E(a2,a11)+~P2(a11,a1,a11,f3(x5261,a1,x5262,f3(x5263,x5262,a11,a1)))),
% 1.78/1.91 inference(scs_inference,[],[37,82,51,52,42,479,481,46,458,521,38,50,401,469,398,415,451,425,490,380,477,483,485,419,422,291,433,338,346,254,58,59,66,29,61,62,70,67,64,63,68,71,54,65,33,31,30,35,34,2,32,3,60,28,25,24,22,19,18,14,10,8,7,6,27,26,23,21,20,17,16,15,13,12,11,9,4,5,72,73,454])).
% 1.78/1.91 cnf(529,plain,
% 1.78/1.91 (P2(a2,f3(a2,a11,a11,a1),a2,a1)),
% 1.78/1.91 inference(scs_inference,[],[37,40,44,46,72])).
% 1.78/1.91 cnf(530,plain,
% 1.78/1.91 (P2(x5301,x5302,x5301,x5302)),
% 1.78/1.91 inference(rename_variables,[],[40])).
% 1.78/1.91 cnf(532,plain,
% 1.78/1.91 (P1(x5321,x5322,f3(x5321,x5322,x5323,x5324))),
% 1.78/1.91 inference(rename_variables,[],[44])).
% 1.78/1.91 cnf(534,plain,
% 1.78/1.91 (~P2(f3(x5341,x5342,f3(x5343,x5344,a11,a1),x5344),x5342,x5345,x5345)),
% 1.78/1.91 inference(scs_inference,[],[37,40,44,46,457,72,66])).
% 1.78/1.91 cnf(538,plain,
% 1.78/1.91 (~P2(x5381,x5381,x5382,f3(x5383,x5382,f3(x5384,x5385,a11,a1),x5385))),
% 1.78/1.91 inference(scs_inference,[],[37,40,530,52,44,46,457,72,66,59,70])).
% 1.78/1.91 cnf(539,plain,
% 1.78/1.91 (~P2(x5391,f3(x5392,x5391,f3(x5393,x5394,a11,a1),x5394),x5395,x5395)),
% 1.78/1.91 inference(rename_variables,[],[457])).
% 1.78/1.91 cnf(540,plain,
% 1.78/1.91 (P2(x5401,x5402,x5401,x5402)),
% 1.78/1.91 inference(rename_variables,[],[40])).
% 1.78/1.91 cnf(542,plain,
% 1.78/1.91 (~E(a2,f3(x5421,a12,x5422,x5422))),
% 1.78/1.91 inference(scs_inference,[],[37,40,530,52,44,46,457,252,72,66,59,70,29])).
% 1.78/1.91 cnf(543,plain,
% 1.78/1.91 (~P2(f3(x5431,a11,x5432,x5432),f3(x5431,a11,x5432,x5432),f3(x5431,a11,x5432,x5432),f3(a1,f3(x5431,a11,x5432,x5432),a1,f3(x5431,a11,x5432,x5432)))),
% 1.78/1.91 inference(scs_inference,[],[37,40,530,52,44,532,46,38,457,429,252,360,72,66,59,70,29,61])).
% 1.78/1.91 cnf(545,plain,
% 1.78/1.91 (P1(x5451,x5452,f3(x5451,x5452,x5453,x5454))),
% 1.78/1.91 inference(rename_variables,[],[44])).
% 1.78/1.91 cnf(546,plain,
% 1.78/1.91 (P1(x5461,x5462,x5462)),
% 1.78/1.91 inference(rename_variables,[],[38])).
% 1.78/1.91 cnf(548,plain,
% 1.78/1.91 (~P2(x5481,x5481,f3(x5482,x5483,f3(x5484,x5485,a11,a1),x5485),x5483)),
% 1.78/1.91 inference(scs_inference,[],[37,40,530,52,44,532,46,38,457,539,429,252,360,72,66,59,70,29,61,62])).
% 1.78/1.91 cnf(550,plain,
% 1.78/1.91 (~P2(x5501,x5501,x5502,f3(x5503,f3(x5504,x5502,a11,a1),x5505,x5505))),
% 1.78/1.91 inference(scs_inference,[],[37,40,530,52,44,532,46,38,457,539,487,429,252,360,72,66,59,70,29,61,62,63])).
% 1.78/1.91 cnf(552,plain,
% 1.78/1.91 (~P2(x5521,f3(x5522,f3(x5523,x5521,a11,a1),x5524,x5524),x5525,x5525)),
% 1.78/1.91 inference(scs_inference,[],[37,40,530,52,44,532,46,38,457,539,487,429,252,360,72,66,59,70,29,61,62,63,67])).
% 1.78/1.91 cnf(554,plain,
% 1.78/1.91 (~P2(x5541,x5541,f3(x5542,f3(x5543,x5544,a11,a1),x5545,x5545),x5544)),
% 1.78/1.91 inference(scs_inference,[],[37,40,530,52,44,532,46,38,457,539,487,429,252,360,72,66,59,70,29,61,62,63,67,65])).
% 1.78/1.91 cnf(560,plain,
% 1.78/1.91 (E(x5601,f6(x5601,x5601,x5601,f3(x5601,x5601,x5601,x5601),f3(x5601,x5601,x5601,x5601),x5601))),
% 1.78/1.91 inference(scs_inference,[],[37,40,530,52,44,532,46,38,386,457,539,487,429,373,252,449,360,72,66,59,70,29,61,62,63,67,65,64,68,54])).
% 1.78/1.91 cnf(563,plain,
% 1.78/1.91 (P1(x5631,f8(x5632,x5632,x5632,x5632,x5632),x5632)),
% 1.78/1.91 inference(scs_inference,[],[37,40,530,52,44,532,46,38,546,386,486,457,539,487,429,373,252,449,360,72,66,59,70,29,61,62,63,67,65,64,68,54,31])).
% 1.78/1.91 cnf(566,plain,
% 1.78/1.91 (P1(x5661,x5662,f3(x5663,f3(x5661,x5662,x5664,x5665),x5666,x5666))),
% 1.78/1.91 inference(rename_variables,[],[83])).
% 1.78/1.91 cnf(568,plain,
% 1.78/1.91 (P2(x5681,x5682,x5681,x5682)),
% 1.78/1.91 inference(rename_variables,[],[40])).
% 1.78/1.91 cnf(570,plain,
% 1.78/1.91 (P2(x5701,x5702,x5701,x5702)),
% 1.78/1.91 inference(rename_variables,[],[40])).
% 1.78/1.91 cnf(572,plain,
% 1.78/1.91 (P2(x5721,x5722,x5721,x5722)),
% 1.78/1.91 inference(rename_variables,[],[40])).
% 1.78/1.91 cnf(575,plain,
% 1.78/1.91 (~E(x5751,f3(f3(x5752,x5751,a11,a1),x5751,f3(x5752,x5751,a11,a1),x5751))),
% 1.78/1.91 inference(scs_inference,[],[37,83,40,530,540,568,570,52,42,44,532,46,38,546,82,386,486,457,539,487,442,429,373,252,449,360,220,72,66,59,70,29,61,62,63,67,65,64,68,54,31,30,33,35,34,3,2])).
% 1.78/1.91 cnf(578,plain,
% 1.78/1.91 (P1(f3(x5781,x5782,x5783,x5784),f8(x5781,x5782,f3(x5785,f3(x5781,x5782,x5783,x5784),x5786,x5786),f3(x5781,x5782,x5783,x5784),x5785),x5781)),
% 1.78/1.91 inference(scs_inference,[],[37,83,566,40,530,540,568,570,572,52,42,44,532,545,46,38,546,82,386,486,457,539,487,442,429,373,252,449,360,220,72,66,59,70,29,61,62,63,67,65,64,68,54,31,30,33,35,34,3,2,32,75])).
% 1.78/1.91 cnf(579,plain,
% 1.78/1.91 (P1(x5791,x5792,f3(x5791,x5792,x5793,x5794))),
% 1.78/1.91 inference(rename_variables,[],[44])).
% 1.78/1.91 cnf(581,plain,
% 1.78/1.91 (P1(x5811,f8(x5812,x5811,f3(x5813,f3(x5812,x5811,x5814,x5815),x5816,x5816),f3(x5812,x5811,x5814,x5815),x5813),x5813)),
% 1.78/1.91 inference(scs_inference,[],[37,83,566,40,530,540,568,570,572,52,42,44,532,545,579,46,38,546,82,386,486,457,539,487,442,429,373,252,449,360,220,72,66,59,70,29,61,62,63,67,65,64,68,54,31,30,33,35,34,3,2,32,75,76])).
% 1.78/1.91 cnf(590,plain,
% 1.78/1.91 (P1(f3(x5901,x5901,x5902,x5903),f8(x5901,f6(x5901,x5901,x5901,f3(x5901,x5901,x5902,x5903),f3(x5901,x5901,x5902,x5903),f3(x5901,x5901,x5902,x5903)),f3(x5901,x5901,x5902,x5903),f3(x5901,x5901,x5902,x5903),x5904),x5901)),
% 1.78/1.91 inference(scs_inference,[],[38,326,75])).
% 1.78/1.91 cnf(591,plain,
% 1.78/1.91 (P1(x5911,x5912,x5912)),
% 1.78/1.91 inference(rename_variables,[],[38])).
% 1.78/1.91 cnf(593,plain,
% 1.78/1.91 (P1(f8(x5931,x5931,x5931,x5931,x5931),f8(x5932,f8(x5931,x5931,x5931,x5931,x5931),x5931,x5931,x5933),x5933)),
% 1.78/1.91 inference(scs_inference,[],[38,591,326,563,75,76])).
% 1.78/1.91 cnf(596,plain,
% 1.78/1.91 (P2(f3(a1,a1,a1,x5961),a1,f6(a1,a1,a1,f3(a1,a1,a1,x5961),f3(a1,a1,a1,x5961),x5961),a2)),
% 1.78/1.91 inference(scs_inference,[],[38,591,89,446,326,563,336,75,76,72])).
% 1.78/1.91 cnf(598,plain,
% 1.78/1.91 (P2(a1,x5981,x5981,a2)),
% 1.78/1.91 inference(rename_variables,[],[89])).
% 1.78/1.91 cnf(599,plain,
% 1.78/1.91 (P1(x5991,x5992,x5992)),
% 1.78/1.91 inference(rename_variables,[],[38])).
% 1.78/1.91 cnf(602,plain,
% 1.78/1.91 (P1(a1,x6021,f3(a2,x6021,x6022,x6023))),
% 1.78/1.91 inference(scs_inference,[],[38,591,89,446,326,563,516,336,75,76,72,59])).
% 1.78/1.91 cnf(609,plain,
% 1.78/1.91 (~P2(f3(x6091,x6092,f3(x6093,x6094,a11,a1),x6094),x6092,a1,a2)),
% 1.78/1.91 inference(scs_inference,[],[38,591,89,598,39,446,326,382,563,534,516,336,75,76,72,59,70,66,71])).
% 1.78/1.91 cnf(610,plain,
% 1.78/1.91 (~P2(f3(x6101,x6102,f3(x6103,x6104,a11,a1),x6104),x6102,x6105,x6105)),
% 1.78/1.91 inference(rename_variables,[],[534])).
% 1.78/1.91 cnf(611,plain,
% 1.78/1.91 (P2(a1,x6111,x6111,a2)),
% 1.78/1.91 inference(rename_variables,[],[89])).
% 1.78/1.91 cnf(613,plain,
% 1.78/1.91 (P2(f6(x6131,x6131,x6131,f3(x6131,x6131,x6132,x6133),f3(x6131,x6131,x6132,x6133),f3(x6131,x6131,x6132,x6133)),x6131,x6133,x6132)),
% 1.78/1.91 inference(scs_inference,[],[38,591,89,598,39,446,326,382,563,534,516,336,75,76,72,59,70,66,71,62])).
% 1.78/1.91 cnf(615,plain,
% 1.78/1.91 (P2(x6151,f6(x6151,x6151,x6151,f3(x6151,x6151,x6152,x6153),f3(x6151,x6151,x6152,x6153),f3(x6151,x6151,x6152,x6153)),x6152,x6153)),
% 1.78/1.91 inference(scs_inference,[],[38,591,89,598,39,446,326,382,563,534,516,336,75,76,72,59,70,66,71,62,65])).
% 1.78/1.91 cnf(621,plain,
% 1.78/1.91 (P2(x6211,x6212,x6213,f6(x6213,x6213,x6213,f3(x6213,x6213,x6212,x6211),f3(x6213,x6213,x6212,x6211),f3(x6213,x6213,x6212,x6211)))),
% 1.78/1.91 inference(scs_inference,[],[38,591,89,598,611,39,446,326,382,563,534,516,336,75,76,72,59,70,66,71,62,65,63,68,67])).
% 1.78/1.91 cnf(625,plain,
% 1.78/1.91 (P2(x6251,f6(x6251,x6251,x6251,f3(x6251,x6251,x6252,x6253),f3(x6251,x6251,x6252,x6253),f3(x6251,x6251,x6252,x6253)),x6253,x6252)),
% 1.78/1.91 inference(scs_inference,[],[38,591,89,598,611,52,39,48,446,326,382,563,534,516,336,75,76,72,59,70,66,71,62,65,63,68,67,29,64])).
% 1.78/1.91 cnf(629,plain,
% 1.78/1.91 (~E(f3(x6291,a2,f3(x6292,x6293,a11,a1),x6293),a1)),
% 1.78/1.91 inference(scs_inference,[],[38,591,89,598,611,52,39,48,446,326,382,563,534,548,575,516,336,75,76,72,59,70,66,71,62,65,63,68,67,29,64,54,33])).
% 1.78/1.91 cnf(630,plain,
% 1.78/1.91 (P2(a1,x6301,x6301,a2)),
% 1.78/1.91 inference(rename_variables,[],[89])).
% 1.78/1.91 cnf(631,plain,
% 1.78/1.91 (~P2(x6311,x6311,f3(x6312,x6313,f3(x6314,x6315,a11,a1),x6315),x6313)),
% 1.78/1.91 inference(rename_variables,[],[548])).
% 1.78/1.91 cnf(632,plain,
% 1.78/1.91 (~E(a7,a9)),
% 1.78/1.91 inference(scs_inference,[],[38,591,599,89,598,611,52,39,48,446,326,382,563,534,548,575,516,336,75,76,72,59,70,66,71,62,65,63,68,67,29,64,54,33,31])).
% 1.78/1.91 cnf(633,plain,
% 1.78/1.91 (P1(x6331,x6332,x6332)),
% 1.78/1.91 inference(rename_variables,[],[38])).
% 1.78/1.91 cnf(635,plain,
% 1.78/1.91 (P2(a1,x6351,x6351,a2)),
% 1.78/1.91 inference(rename_variables,[],[89])).
% 1.78/1.91 cnf(638,plain,
% 1.78/1.91 (P2(a1,x6381,x6381,a2)),
% 1.78/1.91 inference(rename_variables,[],[89])).
% 1.78/1.91 cnf(641,plain,
% 1.78/1.91 (P1(x6411,x6412,x6412)),
% 1.78/1.91 inference(rename_variables,[],[38])).
% 1.78/1.91 cnf(642,plain,
% 1.78/1.91 (~E(a1,f3(f3(x6421,a1,a11,a1),a1,f3(x6421,a1,a11,a1),a2))),
% 1.78/1.91 inference(scs_inference,[],[38,591,599,633,89,598,611,630,635,52,39,48,446,326,382,563,534,538,548,631,575,502,516,336,75,76,72,59,70,66,71,62,65,63,68,67,29,64,54,33,31,34,35,30,3])).
% 1.78/1.91 cnf(646,plain,
% 1.78/1.91 (~E(x6461,f3(x6462,x6461,f3(x6463,x6464,a11,a1),x6464))),
% 1.78/1.91 inference(scs_inference,[],[38,591,599,633,89,598,611,630,635,40,52,39,48,560,446,326,382,563,534,610,538,548,631,575,502,516,336,75,76,72,59,70,66,71,62,65,63,68,67,29,64,54,33,31,34,35,30,3,2,32])).
% 1.78/1.91 cnf(647,plain,
% 1.78/1.91 (P2(x6471,x6472,x6471,x6472)),
% 1.78/1.91 inference(rename_variables,[],[40])).
% 1.78/1.91 cnf(651,plain,
% 1.78/1.91 (P1(x6511,x6512,x6512)),
% 1.78/1.91 inference(rename_variables,[],[38])).
% 1.78/1.91 cnf(658,plain,
% 1.78/1.91 (P1(x6581,x6582,x6582)),
% 1.78/1.91 inference(rename_variables,[],[38])).
% 1.78/1.91 cnf(664,plain,
% 1.78/1.91 (~P2(a2,f3(x6641,a12,x6642,x6642),x6643,x6643)),
% 1.78/1.91 inference(scs_inference,[],[38,591,599,633,641,651,658,89,598,611,630,635,638,40,647,52,39,48,560,446,326,382,563,534,610,538,548,631,575,502,516,207,542,336,113,97,75,76,72,59,70,66,71,62,65,63,68,67,29,64,54,33,31,34,35,30,3,2,32,74,78,77,57])).
% 1.78/1.91 cnf(682,plain,
% 1.78/1.91 (P2(a1,x6821,x6821,a2)),
% 1.78/1.91 inference(rename_variables,[],[89])).
% 1.78/1.91 cnf(683,plain,
% 1.78/1.91 (P1(x6831,x6832,x6832)),
% 1.78/1.91 inference(rename_variables,[],[38])).
% 1.78/1.91 cnf(687,plain,
% 1.78/1.91 (~E(a7,f3(a9,a10,x6871,x6872))),
% 1.78/1.91 inference(scs_inference,[],[38,89,51,613,554,448,99,336,78,77,57,79,72,59])).
% 1.78/1.91 cnf(690,plain,
% 1.78/1.91 (P2(a1,x6901,x6901,a2)),
% 1.78/1.91 inference(rename_variables,[],[89])).
% 1.78/1.91 cnf(694,plain,
% 1.78/1.91 (P2(a1,x6941,x6941,a2)),
% 1.78/1.91 inference(rename_variables,[],[89])).
% 1.78/1.91 cnf(695,plain,
% 1.78/1.91 (~P2(x6951,x6951,x6952,f3(x6953,f3(x6954,x6952,a11,a1),x6955,x6955))),
% 1.78/1.91 inference(rename_variables,[],[550])).
% 1.78/1.91 cnf(707,plain,
% 1.78/1.91 (~P2(x7071,x7071,a2,f3(x7072,a12,x7073,x7073))),
% 1.78/1.91 inference(scs_inference,[],[38,89,682,690,41,51,613,550,554,543,664,609,448,99,336,78,77,57,79,72,59,71,70,66,63,62,67,68,65])).
% 1.78/1.91 cnf(709,plain,
% 1.78/1.91 (~P2(x7091,x7091,f3(x7092,a1,a11,a1),a2)),
% 1.78/1.91 inference(scs_inference,[],[38,89,682,690,41,51,613,550,554,543,664,476,609,448,99,336,78,77,57,79,72,59,71,70,66,63,62,67,68,65,64])).
% 1.78/1.91 cnf(711,plain,
% 1.78/1.91 (E(f8(x7111,x7111,x7111,x7111,x7111),f8(x7112,f8(x7111,x7111,x7111,x7111,x7111),x7111,x7111,f8(x7111,x7111,x7111,x7111,x7111)))),
% 1.78/1.91 inference(scs_inference,[],[38,89,682,690,41,51,613,593,550,554,543,664,476,609,448,99,336,78,77,57,79,72,59,71,70,66,63,62,67,68,65,64,54])).
% 1.78/1.91 cnf(714,plain,
% 1.78/1.91 (~P2(x7141,f3(f3(x7141,x7142,x7141,x7142),x7142,f3(x7141,x7142,x7141,x7142),x7142),x7143,f3(x7144,f3(x7145,x7143,a11,a1),x7146,x7146))),
% 1.78/1.91 inference(scs_inference,[],[38,89,682,690,41,51,48,613,593,550,695,554,543,664,476,609,448,99,336,78,77,57,79,72,59,71,70,66,63,62,67,68,65,64,54,33])).
% 1.78/1.91 cnf(715,plain,
% 1.78/1.91 (~P2(x7151,x7151,x7152,f3(x7153,f3(x7154,x7152,a11,a1),x7155,x7155))),
% 1.78/1.91 inference(rename_variables,[],[550])).
% 1.78/1.91 cnf(716,plain,
% 1.78/1.91 (~P1(a9,a10,f3(f3(a7,x7161,a7,x7161),x7161,f3(a7,x7161,a7,x7161),x7161))),
% 1.78/1.91 inference(scs_inference,[],[38,89,682,690,41,51,48,613,593,550,695,554,543,664,476,609,448,99,336,78,77,57,79,72,59,71,70,66,63,62,67,68,65,64,54,33,31])).
% 1.78/1.91 cnf(717,plain,
% 1.78/1.91 (E(f3(f3(x7171,x7172,x7171,x7172),x7172,f3(x7171,x7172,x7171,x7172),x7172),x7171)),
% 1.78/1.91 inference(rename_variables,[],[48])).
% 1.78/1.91 cnf(718,plain,
% 1.78/1.91 (~P2(x7181,x7181,f3(f3(x7182,x7183,x7182,x7183),x7183,f3(x7182,x7183,x7182,x7183),x7183),f3(x7184,f3(x7185,x7182,a11,a1),x7186,x7186))),
% 1.78/1.91 inference(scs_inference,[],[38,89,682,690,41,51,48,717,613,593,550,695,715,554,543,664,476,609,448,99,336,78,77,57,79,72,59,71,70,66,63,62,67,68,65,64,54,33,31,34])).
% 1.78/1.91 cnf(719,plain,
% 1.78/1.91 (~P2(x7191,x7191,x7192,f3(x7193,f3(x7194,x7192,a11,a1),x7195,x7195))),
% 1.78/1.91 inference(rename_variables,[],[550])).
% 1.78/1.91 cnf(720,plain,
% 1.78/1.91 (~P2(x7201,f3(x7202,f3(x7203,x7201,a11,a1),x7204,x7204),x7205,f3(f3(x7205,x7206,x7205,x7206),x7206,f3(x7205,x7206,x7205,x7206),x7206))),
% 1.78/1.91 inference(scs_inference,[],[38,89,682,690,41,51,48,717,613,593,550,695,715,552,554,543,664,476,609,448,99,336,78,77,57,79,72,59,71,70,66,63,62,67,68,65,64,54,33,31,34,35])).
% 1.78/1.91 cnf(723,plain,
% 1.78/1.91 (E(f3(f3(x7231,x7232,x7231,x7232),x7232,f3(x7231,x7232,x7231,x7232),x7232),x7231)),
% 1.78/1.91 inference(rename_variables,[],[48])).
% 1.78/1.91 cnf(724,plain,
% 1.78/1.91 (~E(x7241,f3(x7242,f3(f3(x7241,x7243,x7241,x7243),x7243,f3(x7241,x7243,x7241,x7243),x7243),f3(x7244,x7245,a11,a1),x7245))),
% 1.78/1.91 inference(scs_inference,[],[38,89,682,690,41,51,48,717,723,613,593,550,695,715,552,554,646,543,664,476,609,448,99,336,78,77,57,79,72,59,71,70,66,63,62,67,68,65,64,54,33,31,34,35,30,3])).
% 1.78/1.91 cnf(725,plain,
% 1.78/1.91 (~E(x7251,f3(x7252,x7251,f3(x7253,x7254,a11,a1),x7254))),
% 1.78/1.91 inference(rename_variables,[],[646])).
% 1.78/1.91 cnf(726,plain,
% 1.78/1.91 (~E(f3(x7261,x7262,f3(x7263,x7264,a11,a1),x7264),x7262)),
% 1.78/1.91 inference(scs_inference,[],[38,89,682,690,41,51,48,717,723,613,593,550,695,715,552,554,646,725,543,664,476,609,448,99,336,78,77,57,79,72,59,71,70,66,63,62,67,68,65,64,54,33,31,34,35,30,3,2])).
% 1.78/1.91 cnf(727,plain,
% 1.78/1.91 (~P2(f3(f3(x7271,x7272,x7271,x7272),x7272,f3(x7271,x7272,x7271,x7272),x7272),x7271,x7273,f3(x7274,f3(x7275,x7273,a11,a1),x7276,x7276))),
% 1.78/1.91 inference(scs_inference,[],[38,89,682,690,41,51,48,717,723,613,593,550,695,715,719,552,554,646,725,543,664,476,609,448,99,336,78,77,57,79,72,59,71,70,66,63,62,67,68,65,64,54,33,31,34,35,30,3,2,32])).
% 1.78/1.91 cnf(729,plain,
% 1.78/1.91 (P1(a2,f6(a1,a1,a2,a1,a1,a2),a2)),
% 1.78/1.91 inference(scs_inference,[],[38,683,89,682,690,694,41,51,48,717,723,613,593,550,695,715,719,552,554,646,725,543,664,476,609,448,99,336,78,77,57,79,72,59,71,70,66,63,62,67,68,65,64,54,33,31,34,35,30,3,2,32,80])).
% 1.78/1.91 cnf(757,plain,
% 1.78/1.91 (P2(x7571,x7571,x7571,f6(x7571,x7571,x7571,x7571,f3(x7571,x7571,x7571,x7572),x7572))),
% 1.78/1.91 inference(scs_inference,[],[39,44,46,167,97,78,77,81])).
% 1.78/1.91 cnf(758,plain,
% 1.78/1.91 (P2(x7581,f3(x7582,x7581,x7583,x7584),x7583,x7584)),
% 1.78/1.91 inference(rename_variables,[],[46])).
% 1.78/1.91 cnf(760,plain,
% 1.78/1.91 (P2(x7601,x7602,x7602,x7601)),
% 1.78/1.91 inference(rename_variables,[],[39])).
% 1.78/1.91 cnf(761,plain,
% 1.78/1.91 (P1(x7611,x7612,f3(x7611,x7612,x7613,x7614))),
% 1.78/1.91 inference(rename_variables,[],[44])).
% 1.78/1.91 cnf(763,plain,
% 1.78/1.91 (P1(x7631,f6(x7631,x7631,x7631,x7631,f3(x7631,x7631,x7631,x7632),x7632),x7632)),
% 1.78/1.91 inference(scs_inference,[],[39,760,44,761,46,758,167,97,78,77,81,80])).
% 1.78/1.91 cnf(766,plain,
% 1.78/1.91 (P2(x7661,x7662,x7662,x7661)),
% 1.78/1.91 inference(rename_variables,[],[39])).
% 1.78/1.91 cnf(769,plain,
% 1.78/1.91 (~P2(x7691,f3(x7692,f3(f3(x7691,x7693,x7691,x7693),x7693,f3(x7691,x7693,x7691,x7693),x7693),f3(x7694,x7695,a11,a1),x7695),x7696,x7696)),
% 1.78/1.91 inference(scs_inference,[],[39,760,44,761,46,758,724,167,97,78,77,81,80,57])).
% 1.78/1.91 cnf(777,plain,
% 1.78/1.91 (P1(x7771,a1,f3(x7771,a2,x7772,x7773))),
% 1.78/1.91 inference(scs_inference,[],[39,760,91,44,761,46,758,718,724,517,167,97,78,77,81,80,57,79,71,59])).
% 1.78/1.91 cnf(779,plain,
% 1.78/1.91 (~P2(f3(x7791,f3(x7792,x7793,a11,a1),x7794,x7794),x7793,x7795,f3(f3(x7795,x7796,x7795,x7796),x7796,f3(x7795,x7796,x7795,x7796),x7796))),
% 1.78/1.91 inference(scs_inference,[],[39,760,766,91,44,761,46,758,714,718,724,517,167,97,78,77,81,80,57,79,71,59,70])).
% 1.78/1.91 cnf(781,plain,
% 1.78/1.91 (P2(x7811,x7812,x7812,x7811)),
% 1.78/1.91 inference(rename_variables,[],[39])).
% 1.78/1.91 cnf(794,plain,
% 1.78/1.91 (P1(x7941,x7942,f3(x7943,f3(x7941,x7942,x7944,x7945),x7946,x7946))),
% 1.78/1.91 inference(rename_variables,[],[83])).
% 1.78/1.91 cnf(801,plain,
% 1.78/1.91 (P2(x8011,x8012,f3(x8013,x8012,x8014,x8014),x8011)),
% 1.78/1.91 inference(scs_inference,[],[39,760,766,781,91,83,44,761,46,758,42,82,615,621,334,714,718,724,529,517,167,97,78,77,81,80,57,79,71,59,70,63,66,67,62,65,29,68,64,54,33])).
% 1.78/1.91 cnf(802,plain,
% 1.78/1.91 (P2(x8021,x8022,x8022,x8021)),
% 1.78/1.91 inference(rename_variables,[],[39])).
% 1.78/1.91 cnf(806,plain,
% 1.78/1.91 (P2(x8061,x8062,x8062,x8061)),
% 1.78/1.91 inference(rename_variables,[],[39])).
% 1.78/1.91 cnf(808,plain,
% 1.78/1.91 (P2(x8081,x8082,x8082,x8081)),
% 1.78/1.91 inference(rename_variables,[],[39])).
% 1.78/1.91 cnf(835,plain,
% 1.78/1.91 (E(f3(f3(x8351,x8352,x8353,x8353),x8354,x8355,x8356),f3(x8352,x8354,x8355,x8356))),
% 1.78/1.91 inference(scs_inference,[],[39,760,766,781,802,806,808,91,83,794,44,761,46,758,42,82,711,590,615,621,334,714,718,724,529,687,375,517,167,560,97,78,77,81,80,57,79,71,59,70,63,66,67,62,65,29,68,64,54,33,31,34,35,30,3,2,32,60,24,10,8,7,6,28,27,25,22,21,20,19,18,17,14,12,9,4])).
% 1.78/1.91 cnf(836,plain,
% 1.78/1.91 (E(f3(x8361,f3(x8362,x8363,x8364,x8364),x8365,x8366),f3(x8361,x8363,x8365,x8366))),
% 1.78/1.91 inference(scs_inference,[],[39,760,766,781,802,806,808,91,83,794,44,761,46,758,42,82,711,590,615,621,334,714,718,724,529,687,375,517,167,560,97,78,77,81,80,57,79,71,59,70,63,66,67,62,65,29,68,64,54,33,31,34,35,30,3,2,32,60,24,10,8,7,6,28,27,25,22,21,20,19,18,17,14,12,9,4,5])).
% 1.78/1.91 cnf(864,plain,
% 1.78/1.91 (P2(x8641,x8641,x8641,f6(x8641,x8641,x8641,x8641,f3(x8641,x8641,x8642,x8643),f3(x8641,x8641,x8642,x8643)))),
% 1.78/1.91 inference(scs_inference,[],[39,40,44,500,55,81])).
% 1.78/1.91 cnf(866,plain,
% 1.78/1.91 (P2(x8661,x8662,x8662,x8661)),
% 1.78/1.91 inference(rename_variables,[],[39])).
% 1.78/1.91 cnf(867,plain,
% 1.78/1.91 (P1(x8671,x8672,f3(x8671,x8672,x8673,x8674))),
% 1.78/1.91 inference(rename_variables,[],[44])).
% 1.78/1.91 cnf(868,plain,
% 1.78/1.91 (P2(x8681,x8682,x8681,x8682)),
% 1.78/1.91 inference(rename_variables,[],[40])).
% 1.78/1.91 cnf(872,plain,
% 1.78/1.91 (P2(x8721,x8722,x8722,x8721)),
% 1.78/1.91 inference(rename_variables,[],[39])).
% 1.78/1.91 cnf(873,plain,
% 1.78/1.91 (P1(x8731,x8732,f3(x8731,x8732,x8733,x8734))),
% 1.78/1.91 inference(rename_variables,[],[44])).
% 1.78/1.91 cnf(876,plain,
% 1.78/1.91 (E(x8761,f6(x8761,x8761,x8761,f3(x8761,x8761,x8762,x8762),f3(x8761,x8761,x8762,x8762),f3(x8761,x8761,x8762,x8762)))),
% 1.78/1.91 inference(scs_inference,[],[39,866,40,868,44,867,625,500,55,81,80,57])).
% 1.78/1.91 cnf(879,plain,
% 1.78/1.91 (~P2(x8791,f3(x8792,f3(x8793,x8791,a11,a1),x8794,x8794),f3(f3(x8795,x8796,x8795,x8796),x8796,f3(x8795,x8796,x8795,x8796),x8796),x8795)),
% 1.78/1.91 inference(scs_inference,[],[39,866,872,40,868,44,867,625,720,500,55,81,80,57,71])).
% 1.78/1.91 cnf(880,plain,
% 1.78/1.91 (~P2(x8801,f3(x8802,f3(x8803,x8801,a11,a1),x8804,x8804),x8805,f3(f3(x8805,x8806,x8805,x8806),x8806,f3(x8805,x8806,x8805,x8806),x8806))),
% 1.78/1.91 inference(rename_variables,[],[720])).
% 1.78/1.91 cnf(881,plain,
% 1.78/1.91 (P2(x8811,x8812,x8812,x8811)),
% 1.78/1.91 inference(rename_variables,[],[39])).
% 1.78/1.91 cnf(883,plain,
% 1.78/1.91 (~E(f3(f3(a7,x8831,a7,x8831),x8831,f3(a7,x8831,a7,x8831),x8831),f3(a9,a10,x8832,x8833))),
% 1.78/1.91 inference(scs_inference,[],[39,866,872,40,868,44,867,625,720,716,500,55,81,80,57,71,59])).
% 1.78/1.91 cnf(885,plain,
% 1.78/1.91 (~P2(x8851,f3(f3(x8851,x8852,x8851,x8852),x8852,f3(x8851,x8852,x8851,x8852),x8852),f3(x8853,f3(x8854,x8855,a11,a1),x8856,x8856),x8855)),
% 1.78/1.91 inference(scs_inference,[],[39,866,872,40,868,44,867,625,720,880,716,500,55,81,80,57,71,59,63])).
% 1.78/1.91 cnf(887,plain,
% 1.78/1.91 (~P2(f3(x8871,f3(f3(x8872,x8873,x8872,x8873),x8873,f3(x8872,x8873,x8872,x8873),x8873),f3(x8874,x8875,a11,a1),x8875),x8872,x8876,x8876)),
% 1.78/1.91 inference(scs_inference,[],[39,866,872,40,868,44,867,625,720,880,769,716,500,55,81,80,57,71,59,63,67])).
% 1.78/1.91 cnf(890,plain,
% 1.78/1.91 (P1(x8901,x8902,f3(x8901,x8902,x8903,x8904))),
% 1.78/1.91 inference(rename_variables,[],[44])).
% 1.78/1.91 cnf(891,plain,
% 1.78/1.91 (~E(f3(x8911,x8912,f3(x8913,x8914,a11,a1),x8914),x8912)),
% 1.78/1.91 inference(rename_variables,[],[726])).
% 1.78/1.91 cnf(895,plain,
% 1.78/1.91 (P2(f3(x8951,x8952,x8953,x8953),x8952,x8954,x8954)),
% 1.78/1.91 inference(scs_inference,[],[39,866,872,881,40,868,44,867,873,625,720,880,769,726,629,716,500,409,338,55,81,80,57,71,59,63,67,61,70])).
% 1.78/1.91 cnf(897,plain,
% 1.78/1.91 (P2(x8971,x8972,x8972,x8971)),
% 1.78/1.91 inference(rename_variables,[],[39])).
% 1.78/1.91 cnf(899,plain,
% 1.78/1.91 (~P2(f3(x8991,f3(x8992,x8993,a11,a1),x8994,x8994),x8993,f3(f3(x8995,x8996,x8995,x8996),x8996,f3(x8995,x8996,x8995,x8996),x8996),x8995)),
% 1.78/1.91 inference(scs_inference,[],[39,866,872,881,40,868,44,867,873,625,720,880,769,726,629,716,500,409,338,55,81,80,57,71,59,63,67,61,70,66])).
% 1.78/1.91 cnf(901,plain,
% 1.78/1.91 (~P2(x9011,x9011,x9012,f3(x9013,f3(f3(x9012,x9014,x9012,x9014),x9014,f3(x9012,x9014,x9012,x9014),x9014),f3(x9015,x9016,a11,a1),x9016))),
% 1.78/1.91 inference(scs_inference,[],[39,866,872,881,40,868,44,867,873,625,720,880,769,726,629,716,500,409,338,55,81,80,57,71,59,63,67,61,70,66,65])).
% 1.78/1.91 cnf(903,plain,
% 1.78/1.91 (~P2(f3(f3(x9031,x9032,x9031,x9032),x9032,f3(x9031,x9032,x9031,x9032),x9032),x9031,f3(x9033,f3(x9034,x9035,a11,a1),x9036,x9036),x9035)),
% 1.78/1.91 inference(scs_inference,[],[39,866,872,881,40,868,44,867,873,625,720,880,727,769,726,629,716,500,409,338,55,81,80,57,71,59,63,67,61,70,66,65,68])).
% 1.78/1.91 cnf(905,plain,
% 1.78/1.91 (~P2(x9051,x9051,f3(x9052,f3(f3(x9053,x9054,x9053,x9054),x9054,f3(x9053,x9054,x9053,x9054),x9054),f3(x9055,x9056,a11,a1),x9056),x9053)),
% 1.78/1.91 inference(scs_inference,[],[39,866,872,881,40,868,44,867,873,625,720,880,727,769,726,629,716,500,409,338,55,81,80,57,71,59,63,67,61,70,66,65,68,62])).
% 1.78/1.91 cnf(907,plain,
% 1.78/1.91 (~P2(a2,f3(x9071,a1,a11,a1),x9072,x9072)),
% 1.78/1.91 inference(scs_inference,[],[39,866,872,881,40,868,44,867,873,625,720,880,727,769,726,709,629,716,500,409,338,55,81,80,57,71,59,63,67,61,70,66,65,68,62,64])).
% 1.78/1.91 cnf(909,plain,
% 1.78/1.91 (E(x9091,f6(x9091,x9091,x9091,x9091,f3(x9091,x9091,x9091,x9091),x9091))),
% 1.78/1.91 inference(scs_inference,[],[39,866,872,881,40,868,44,867,873,625,763,720,880,727,769,726,709,629,716,500,409,338,55,81,80,57,71,59,63,67,61,70,66,65,68,62,64,54])).
% 1.78/1.91 cnf(910,plain,
% 1.78/1.91 (P1(x9101,f6(x9101,x9101,x9101,x9101,f3(x9101,x9101,x9101,x9102),x9102),x9102)),
% 1.78/1.91 inference(rename_variables,[],[763])).
% 1.78/1.91 cnf(912,plain,
% 1.78/1.91 (~E(f3(a7,a10,a7,a10),a9)),
% 1.78/1.91 inference(scs_inference,[],[39,866,872,881,40,868,44,867,873,890,625,763,720,880,727,769,726,709,629,716,500,409,338,55,81,80,57,71,59,63,67,61,70,66,65,68,62,64,54,29])).
% 1.78/1.91 cnf(913,plain,
% 1.78/1.91 (P1(x9131,x9132,f3(x9131,x9132,x9133,x9134))),
% 1.78/1.91 inference(rename_variables,[],[44])).
% 1.78/1.91 cnf(924,plain,
% 1.78/1.91 (P2(x9241,a2,a1,x9241)),
% 1.78/1.91 inference(rename_variables,[],[93])).
% 1.78/1.91 cnf(925,plain,
% 1.78/1.91 (~P2(f3(f3(x9251,x9252,x9251,x9252),x9252,f3(x9251,x9252,x9251,x9252),x9252),x9251,x9253,f3(x9254,f3(x9255,x9253,a11,a1),x9256,x9256))),
% 1.78/1.91 inference(rename_variables,[],[727])).
% 1.78/1.91 cnf(928,plain,
% 1.78/1.91 (~E(f3(x9281,x9282,f3(x9283,x9284,a11,a1),x9284),f3(f3(x9282,x9285,x9282,x9285),x9285,f3(x9282,x9285,x9282,x9285),x9285))),
% 1.78/1.91 inference(scs_inference,[],[39,866,872,881,93,91,83,89,40,868,50,44,867,873,890,48,625,763,910,720,880,727,769,726,891,709,218,629,716,500,409,338,55,81,80,57,71,59,63,67,61,70,66,65,68,62,64,54,29,33,34,31,35,30,3])).
% 1.78/1.91 cnf(931,plain,
% 1.78/1.91 (~E(f3(x9311,f3(x9312,a1,a11,a1),x9313,x9313),f3(f3(a2,x9314,a2,x9314),x9314,f3(a2,x9314,a2,x9314),x9314))),
% 1.78/1.91 inference(scs_inference,[],[39,866,872,881,93,924,91,83,89,40,868,50,44,867,873,890,48,625,763,910,720,880,727,925,769,726,891,709,218,489,629,716,500,409,338,55,81,80,57,71,59,63,67,61,70,66,65,68,62,64,54,29,33,34,31,35,30,3,2,32])).
% 1.78/1.91 cnf(941,plain,
% 1.78/1.91 (E(f3(a2,a11,a11,a1),a1)),
% 1.78/1.91 inference(scs_inference,[],[39,866,872,881,897,93,924,91,83,89,40,868,50,44,867,873,890,913,48,625,763,910,720,880,727,925,769,726,891,707,709,218,489,629,716,500,409,338,55,81,80,57,71,59,63,67,61,70,66,65,68,62,64,54,29,33,34,31,35,30,3,2,32,7,6,72,198])).
% 1.78/1.91 cnf(943,plain,
% 1.78/1.91 (~P2(x9431,x9431,f3(a2,f3(x9432,a1,a11,a1),a2,f3(x9432,a1,a11,a1)),f3(x9432,a1,a11,a1))+E(f3(a2,f3(x9432,a1,a11,a1),a2,f3(x9432,a1,a11,a1)),f3(x9432,a1,a11,a1))),
% 1.78/1.91 inference(scs_inference,[],[39,866,872,881,897,93,924,91,83,89,40,868,50,44,867,873,890,913,48,625,763,910,720,880,727,925,769,726,891,707,709,218,489,629,716,500,409,338,55,81,80,57,71,59,63,67,61,70,66,65,68,62,64,54,29,33,34,31,35,30,3,2,32,7,6,72,198,526,69])).
% 1.78/1.91 cnf(952,plain,
% 1.78/1.91 (~E(f3(a7,f3(a9,a10,x9521,x9522),a7,f3(a9,a10,x9521,x9522)),f3(a9,a10,x9521,x9522))),
% 1.78/1.91 inference(scs_inference,[],[883,941,7,55])).
% 1.78/1.91 cnf(956,plain,
% 1.78/1.91 (~P2(f3(x9561,x9562,f3(x9563,x9564,a11,a1),x9564),f3(f3(x9562,x9565,x9562,x9565),x9565,f3(x9562,x9565,x9562,x9565),x9565),x9566,x9566)),
% 1.78/1.91 inference(scs_inference,[],[928,883,941,7,55,6,57])).
% 1.78/1.91 cnf(958,plain,
% 1.78/1.91 (P2(a1,f3(a2,x9581,x9581,f3(a1,x9581,x9582,x9583)),a1,f3(a1,x9581,x9582,x9583))),
% 1.78/1.91 inference(scs_inference,[],[40,46,44,928,883,941,602,7,55,6,57,72])).
% 1.78/1.91 cnf(964,plain,
% 1.78/1.91 (P2(f6(x9641,x9641,x9641,x9641,f3(x9641,x9641,x9641,x9642),x9642),x9641,x9641,x9641)),
% 1.78/1.91 inference(scs_inference,[],[40,46,44,757,928,883,941,602,7,55,6,57,72,63])).
% 1.78/1.91 cnf(966,plain,
% 1.78/1.91 (P1(x9661,x9662,f3(f3(x9663,x9661,x9664,x9664),x9662,x9665,x9666))),
% 1.78/1.91 inference(scs_inference,[],[40,46,44,757,835,928,883,941,602,7,55,6,57,72,63,59])).
% 1.78/1.91 cnf(968,plain,
% 1.78/1.91 (~P2(a2,f3(x9681,f3(x9682,a1,a11,a1),x9683,x9683),x9684,f3(f3(x9684,x9685,x9684,x9685),x9685,f3(x9684,x9685,x9684,x9685),x9685))),
% 1.78/1.91 inference(scs_inference,[],[40,95,46,44,757,835,779,928,883,941,602,7,55,6,57,72,63,59,70])).
% 1.78/1.91 cnf(978,plain,
% 1.78/1.91 (P2(f6(x9781,x9781,x9781,x9781,f3(x9781,x9781,x9782,x9783),f3(x9781,x9781,x9782,x9783)),x9781,x9781,x9781)),
% 1.78/1.91 inference(scs_inference,[],[40,95,46,44,757,864,835,779,928,883,941,602,596,7,55,6,57,72,63,59,70,67,65,66,62])).
% 1.78/1.91 cnf(980,plain,
% 1.78/1.91 (~P1(f3(a7,a10,a7,a10),a9,f3(a7,a10,a7,a10))),
% 1.78/1.91 inference(scs_inference,[],[40,95,46,44,757,864,835,779,928,912,883,941,602,596,7,55,6,57,72,63,59,70,67,65,66,62,54])).
% 1.78/1.91 cnf(987,plain,
% 1.78/1.91 (E(f3(f3(x9871,x9872,x9871,x9872),x9872,f3(x9871,x9872,x9871,x9872),x9872),x9871)),
% 1.78/1.91 inference(rename_variables,[],[48])).
% 1.78/1.91 cnf(988,plain,
% 1.78/1.91 (~P2(f3(x9881,a1,x9882,x9882),f3(f3(a11,x9883,a11,x9883),x9883,f3(a11,x9883,a11,x9883),x9883),x9884,x9884)),
% 1.78/1.91 inference(scs_inference,[],[40,95,46,51,44,48,987,757,864,835,779,928,912,883,941,257,602,596,7,55,6,57,72,63,59,70,67,65,66,62,54,68,64,29,33])).
% 1.78/1.91 cnf(989,plain,
% 1.78/1.91 (E(f3(f3(x9891,x9892,x9891,x9892),x9892,f3(x9891,x9892,x9891,x9892),x9892),x9891)),
% 1.78/1.91 inference(rename_variables,[],[48])).
% 1.78/1.91 cnf(991,plain,
% 1.78/1.91 (~P2(f3(x9911,a1,x9912,x9912),a11,x9913,x9913)),
% 1.78/1.91 inference(rename_variables,[],[257])).
% 1.78/1.91 cnf(992,plain,
% 1.78/1.91 (~P1(a10,a7,f3(f3(a9,x9921,a9,x9921),x9921,f3(a9,x9921,a9,x9921),x9921))),
% 1.78/1.91 inference(scs_inference,[],[40,95,46,52,51,44,48,987,989,757,864,835,779,928,912,883,941,257,602,596,7,55,6,57,72,63,59,70,67,65,66,62,54,68,64,29,33,34,31])).
% 1.78/1.91 cnf(993,plain,
% 1.78/1.91 (E(f3(f3(x9931,x9932,x9931,x9932),x9932,f3(x9931,x9932,x9931,x9932),x9932),x9931)),
% 1.78/1.91 inference(rename_variables,[],[48])).
% 1.78/1.91 cnf(997,plain,
% 1.78/1.91 (E(f3(f3(x9971,x9972,x9971,x9972),x9972,f3(x9971,x9972,x9971,x9972),x9972),x9971)),
% 1.78/1.91 inference(rename_variables,[],[48])).
% 1.78/1.91 cnf(1000,plain,
% 1.78/1.91 (E(f3(f3(x10001,x10002,x10001,x10002),x10002,f3(x10001,x10002,x10001,x10002),x10002),x10001)),
% 1.78/1.91 inference(rename_variables,[],[48])).
% 1.78/1.91 cnf(1001,plain,
% 1.78/1.91 (E(f6(x10011,x10011,x10011,x10011,f3(x10011,x10011,x10011,x10011),x10011),x10011)),
% 1.78/1.91 inference(scs_inference,[],[40,95,46,52,51,44,48,987,989,993,997,909,757,864,835,779,928,912,883,941,257,991,602,596,7,55,6,57,72,63,59,70,67,65,66,62,54,68,64,29,33,34,31,35,30,3,2])).
% 1.78/1.91 cnf(1002,plain,
% 1.78/1.91 (~P2(f3(f3(a2,x10021,a2,x10021),x10021,f3(a2,x10021,a2,x10021),x10021),f3(x10022,a1,a11,a1),x10023,x10023)),
% 1.78/1.91 inference(scs_inference,[],[40,95,46,52,51,44,48,987,989,993,997,1000,909,757,864,835,779,928,912,883,941,257,991,907,602,596,7,55,6,57,72,63,59,70,67,65,66,62,54,68,64,29,33,34,31,35,30,3,2,32])).
% 1.78/1.91 cnf(1016,plain,
% 1.78/1.91 (P1(x10161,a1,f3(x10161,a2,x10162,x10163))),
% 1.78/1.91 inference(rename_variables,[],[777])).
% 1.78/1.91 cnf(1017,plain,
% 1.78/1.91 (P1(x10171,x10172,f3(x10171,x10172,x10173,x10174))),
% 1.78/1.91 inference(rename_variables,[],[44])).
% 1.78/1.91 cnf(1021,plain,
% 1.78/1.91 (P1(x10211,x10212,f3(x10211,x10212,x10213,x10214))),
% 1.78/1.91 inference(rename_variables,[],[44])).
% 1.78/1.91 cnf(1023,plain,
% 1.78/1.91 (~E(f3(a2,f3(x10231,a1,a11,a1),a2,f3(x10231,a1,a11,a1)),f3(x10231,a1,a11,a1))),
% 1.78/1.91 inference(scs_inference,[],[44,1017,931,777,1016,75,76,7])).
% 1.78/1.91 cnf(1027,plain,
% 1.78/1.91 (E(f6(x10271,x10271,x10271,x10271,f3(x10271,x10271,x10271,x10272),x10272),x10271)),
% 1.78/1.91 inference(scs_inference,[],[44,1017,964,931,777,1016,501,75,76,7,55,57])).
% 1.78/1.91 cnf(1029,plain,
% 1.78/1.91 (~E(f3(a7,a10,a7,a10),f3(f3(a7,a10,a7,a10),a9,x10291,x10292))),
% 1.78/1.91 inference(scs_inference,[],[44,1017,964,931,980,777,1016,501,75,76,7,55,57,59])).
% 1.78/1.91 cnf(1035,plain,
% 1.78/1.91 (~P2(x10351,x10351,f3(x10352,a1,x10353,x10353),f3(f3(a11,x10354,a11,x10354),x10354,f3(a11,x10354,a11,x10354),x10354))),
% 1.78/1.91 inference(scs_inference,[],[40,44,1017,964,956,988,931,980,777,1016,501,75,76,7,55,57,59,63,65,70])).
% 1.78/1.91 cnf(1036,plain,
% 1.78/1.91 (~P2(f3(x10361,a1,x10362,x10362),f3(f3(a11,x10363,a11,x10363),x10363,f3(a11,x10363,a11,x10363),x10363),x10364,x10364)),
% 1.78/1.91 inference(rename_variables,[],[988])).
% 1.78/1.91 cnf(1037,plain,
% 1.78/1.91 (P2(x10371,x10372,x10371,x10372)),
% 1.78/1.91 inference(rename_variables,[],[40])).
% 1.78/1.91 cnf(1056,plain,
% 1.78/1.91 (~P2(x10561,x10561,f3(f3(a2,x10562,a2,x10562),x10562,f3(a2,x10562,a2,x10562),x10562),f3(x10563,a1,a11,a1))),
% 1.78/1.91 inference(scs_inference,[],[40,44,1017,1021,964,581,956,988,1036,931,1002,980,968,777,1016,642,501,422,38,75,76,7,55,57,59,63,65,70,62,67,61,68,66,54,64])).
% 1.78/1.91 cnf(1059,plain,
% 1.78/1.91 (E(x10591,f6(x10591,x10591,x10591,f3(x10591,x10591,x10592,x10592),f3(x10591,x10591,x10592,x10592),f3(x10591,x10591,x10592,x10592)))),
% 1.78/1.91 inference(rename_variables,[],[876])).
% 1.78/1.91 cnf(1060,plain,
% 1.78/1.91 (P2(x10601,x10602,x10601,f6(x10602,x10602,x10602,x10602,f3(x10602,x10602,x10602,x10602),x10602))),
% 1.78/1.91 inference(scs_inference,[],[40,1037,83,44,1017,1021,1001,876,964,581,956,988,1036,931,1002,980,968,777,1016,642,501,422,38,75,76,7,55,57,59,63,65,70,62,67,61,68,66,54,64,29,33])).
% 1.78/1.91 cnf(1061,plain,
% 1.78/1.91 (P2(x10611,x10612,x10611,x10612)),
% 1.78/1.91 inference(rename_variables,[],[40])).
% 1.78/1.91 cnf(1063,plain,
% 1.78/1.91 (P2(x10631,x10632,x10631,x10632)),
% 1.78/1.91 inference(rename_variables,[],[40])).
% 1.78/1.91 cnf(1066,plain,
% 1.78/1.91 (P2(x10661,f6(x10662,x10662,x10662,x10662,f3(x10662,x10662,x10662,x10662),x10662),x10661,x10662)),
% 1.78/1.91 inference(scs_inference,[],[40,1037,1061,1063,83,44,1017,1021,82,1001,876,964,215,581,956,988,1036,931,1002,980,968,777,1016,642,501,422,38,75,76,7,55,57,59,63,65,70,62,67,61,68,66,54,64,29,33,34,31,35])).
% 1.78/1.91 cnf(1067,plain,
% 1.78/1.91 (P2(x10671,x10672,x10671,x10672)),
% 1.78/1.91 inference(rename_variables,[],[40])).
% 1.78/1.91 cnf(1069,plain,
% 1.78/1.91 (E(f3(f3(x10691,x10692,x10691,x10692),x10692,f3(x10691,x10692,x10691,x10692),x10692),x10691)),
% 1.78/1.91 inference(rename_variables,[],[48])).
% 1.78/1.91 cnf(1075,plain,
% 1.78/1.91 (E(a1,f3(a2,a1,a2,a1))),
% 1.78/1.91 inference(scs_inference,[],[40,1037,1061,1063,1067,83,44,1017,1021,48,1069,82,1001,876,1059,964,215,581,956,988,1036,931,1002,980,952,968,777,1016,642,501,422,38,75,76,7,55,57,59,63,65,70,62,67,61,68,66,54,64,29,33,34,31,35,3,30,2,32,58])).
% 1.78/1.91 cnf(1082,plain,
% 1.78/1.91 (~P2(x10821,x10821,f3(a2,f3(x10822,a1,a11,a1),a2,f3(x10822,a1,a11,a1)),f3(x10822,a1,a11,a1))),
% 1.78/1.91 inference(scs_inference,[],[40,1037,1061,1063,1067,93,83,44,1017,1021,48,1069,82,1001,876,1059,289,964,215,581,956,988,1036,931,1002,980,952,968,777,1016,642,501,422,338,38,75,76,7,55,57,59,63,65,70,62,67,61,68,66,54,64,29,33,34,31,35,3,30,2,32,58,72,943])).
% 1.78/1.91 cnf(1084,plain,
% 1.78/1.91 (E(f3(a7,a9,x10841,x10841),f3(a7,a9,x10842,x10842))),
% 1.78/1.91 inference(scs_inference,[],[41,632,69])).
% 1.78/1.91 cnf(1092,plain,
% 1.78/1.91 (P2(a2,x10921,x10921,a1)),
% 1.78/1.91 inference(rename_variables,[],[95])).
% 1.78/1.91 cnf(1093,plain,
% 1.78/1.91 (P2(x10931,x10931,x10932,x10932)),
% 1.78/1.91 inference(rename_variables,[],[41])).
% 1.78/1.91 cnf(1095,plain,
% 1.78/1.91 (~P2(f3(a7,a10,a7,a10),f3(f3(a7,a10,a7,a10),a9,x10951,x10952),x10953,x10953)),
% 1.78/1.91 inference(scs_inference,[],[41,95,1029,1023,1075,632,69,58,55,7,71,57])).
% 1.78/1.91 cnf(1106,plain,
% 1.78/1.91 (P1(x11061,x11062,f3(x11061,x11062,x11063,x11064))),
% 1.78/1.91 inference(rename_variables,[],[44])).
% 1.78/1.91 cnf(1107,plain,
% 1.78/1.91 (P2(x11071,f3(x11072,x11071,x11073,x11074),x11073,x11074)),
% 1.78/1.91 inference(rename_variables,[],[46])).
% 1.78/1.91 cnf(1111,plain,
% 1.78/1.91 (P2(x11111,f3(x11112,x11111,x11113,x11114),x11113,x11114)),
% 1.78/1.91 inference(rename_variables,[],[46])).
% 1.78/1.91 cnf(1112,plain,
% 1.78/1.91 (P2(a2,x11121,x11121,a1)),
% 1.78/1.91 inference(rename_variables,[],[95])).
% 1.78/1.91 cnf(1125,plain,
% 1.78/1.91 (P1(x11251,x11252,f3(x11251,x11252,x11253,x11254))),
% 1.78/1.91 inference(rename_variables,[],[44])).
% 1.78/1.91 cnf(1129,plain,
% 1.78/1.91 (~E(f3(x11291,f3(x11292,a2,a11,a1),x11293,x11293),f3(f3(a1,x11294,a1,x11294),x11294,f3(a1,x11294,a1,x11294),x11294))),
% 1.78/1.91 inference(scs_inference,[],[41,1093,95,1092,1112,46,1107,44,1106,97,1060,1066,836,895,966,879,887,1029,1023,1075,958,992,632,69,58,55,7,71,57,63,59,62,65,61,70,66,67,68,64,54,29,33,34])).
% 1.78/1.91 cnf(1130,plain,
% 1.78/1.91 (P2(a2,x11301,x11301,a1)),
% 1.78/1.91 inference(rename_variables,[],[95])).
% 1.78/1.91 cnf(1135,plain,
% 1.78/1.91 (P2(a2,x11351,x11351,a1)),
% 1.78/1.91 inference(rename_variables,[],[95])).
% 1.78/1.91 cnf(1142,plain,
% 1.78/1.91 (E(x11421,f6(x11421,x11421,x11421,x11421,f3(x11421,x11421,x11421,x11422),x11422))),
% 1.78/1.91 inference(scs_inference,[],[41,1093,95,1092,1112,1130,46,1107,50,44,1106,1125,97,42,1060,1066,1027,578,836,895,966,879,887,901,1029,1023,1075,958,992,632,252,69,58,55,7,71,57,63,59,62,65,61,70,66,67,68,64,54,29,33,34,31,35,3,30,2])).
% 1.78/1.91 cnf(1174,plain,
% 1.78/1.91 (P1(x11741,x11742,f3(x11743,f3(x11741,x11742,x11744,x11745),x11746,x11746))),
% 1.78/1.91 inference(rename_variables,[],[83])).
% 1.78/1.91 cnf(1186,plain,
% 1.78/1.91 (P1(f3(x11861,x11861,x11862,x11862),f6(f3(x11861,x11861,x11862,x11862),x11861,f3(x11861,x11861,x11862,x11862),x11861,f3(f3(x11861,x11861,x11862,x11862),f3(x11861,x11861,x11862,x11862),f3(x11861,x11861,x11862,x11862),f3(x11861,x11861,x11862,x11862)),f3(x11861,x11861,x11862,x11862)),f3(x11861,x11861,x11862,x11862))),
% 1.78/1.91 inference(scs_inference,[],[41,1093,95,1092,1112,1130,1135,83,1174,46,1107,1111,50,44,1106,1125,97,42,455,1060,1066,1027,578,836,801,895,966,879,887,901,1029,1023,1075,958,992,729,632,317,720,252,69,58,55,7,71,57,63,59,62,65,61,70,66,67,68,64,54,29,33,34,31,35,3,30,2,32,60,28,27,25,24,20,19,18,10,9,8,5,26,23,22,21,17,16,14,12,11,4,15,13,6,72,435,200,78,77,80])).
% 1.78/1.91 cnf(1187,plain,
% 1.78/1.91 (P2(x11871,x11872,f3(x11873,x11872,x11874,x11874),x11871)),
% 1.78/1.91 inference(rename_variables,[],[801])).
% 1.78/1.91 cnf(1188,plain,
% 1.78/1.91 (P1(x11881,x11882,f3(x11883,f3(x11881,x11882,x11884,x11885),x11886,x11886))),
% 1.78/1.91 inference(rename_variables,[],[83])).
% 1.78/1.91 cnf(1189,plain,
% 1.78/1.91 (P2(x11891,f3(x11892,x11891,x11893,x11894),x11893,x11894)),
% 1.78/1.91 inference(rename_variables,[],[46])).
% 1.78/1.91 cnf(1193,plain,
% 1.78/1.91 (P2(f3(x11931,x11931,x11932,x11932),x11931,f3(x11931,x11931,x11932,x11932),f6(f3(x11931,x11931,x11932,x11932),x11931,f3(x11931,x11931,x11932,x11932),x11931,f3(f3(x11931,x11931,x11932,x11932),f3(x11931,x11931,x11932,x11932),f3(x11931,x11931,x11932,x11932),f3(x11931,x11931,x11932,x11932)),f3(x11931,x11931,x11932,x11932)))),
% 1.78/1.91 inference(scs_inference,[],[41,1093,95,1092,1112,1130,1135,83,1174,1188,46,1107,1111,1189,50,44,1106,1125,97,42,455,1060,1066,1027,578,836,801,1187,895,966,879,887,901,1029,1023,1075,958,992,729,632,317,720,252,69,58,55,7,71,57,63,59,62,65,61,70,66,67,68,64,54,29,33,34,31,35,3,30,2,32,60,28,27,25,24,20,19,18,10,9,8,5,26,23,22,21,17,16,14,12,11,4,15,13,6,72,435,200,78,77,80,79,81])).
% 1.78/1.91 cnf(1198,plain,
% 1.78/1.91 (E(f3(a11,a1,x11981,a1),f3(a11,a1,a2,x11981))),
% 1.78/1.91 inference(scs_inference,[],[91,97,69])).
% 1.78/1.91 cnf(1201,plain,
% 1.78/1.91 (P1(x12011,x12012,f3(x12011,x12012,x12013,x12014))),
% 1.78/1.91 inference(rename_variables,[],[44])).
% 1.78/1.91 cnf(1204,plain,
% 1.78/1.91 (P1(x12041,x12042,f3(x12041,x12042,x12043,x12044))),
% 1.78/1.91 inference(rename_variables,[],[44])).
% 1.78/1.91 cnf(1206,plain,
% 1.78/1.91 (E(f3(f3(a7,a9,x12061,x12061),f3(a7,a9,x12062,x12062),f3(a7,a9,x12061,x12061),f3(a7,a9,x12062,x12062)),f3(a7,a9,x12062,x12062))),
% 1.78/1.91 inference(scs_inference,[],[91,44,1201,97,1084,69,78,77,55])).
% 1.78/1.91 cnf(1211,plain,
% 1.78/1.91 (~E(f3(a1,f3(x12111,a2,a11,a1),a1,f3(x12111,a2,a11,a1)),f3(x12111,a2,a11,a1))),
% 1.78/1.91 inference(scs_inference,[],[91,44,1201,1204,97,1129,1084,69,78,77,55,79,7])).
% 1.78/1.91 cnf(1212,plain,
% 1.78/1.91 (~E(f3(x12121,f3(x12122,a2,a11,a1),x12123,x12123),f3(f3(a1,x12124,a1,x12124),x12124,f3(a1,x12124,a1,x12124),x12124))),
% 1.78/1.91 inference(rename_variables,[],[1129])).
% 1.78/1.91 cnf(1224,plain,
% 1.78/1.91 (~E(f3(x12241,a1,x12242,x12242),f3(a12,a11,x12243,x12244))),
% 1.78/1.91 inference(scs_inference,[],[91,93,44,1201,1204,97,978,899,1095,1129,1084,266,69,78,77,55,79,7,6,71,57,63,65,59])).
% 1.78/1.91 cnf(1243,plain,
% 1.78/1.91 (E(f3(f3(x12431,x12432,x12431,x12432),x12432,f3(x12431,x12432,x12431,x12432),x12432),x12431)),
% 1.78/1.91 inference(rename_variables,[],[48])).
% 1.78/1.91 cnf(1245,plain,
% 1.78/1.91 (~P2(x12451,x12451,f3(x12452,a1,x12453,x12453),f3(f3(a11,x12454,a11,x12454),x12454,f3(a11,x12454,a11,x12454),x12454))),
% 1.78/1.91 inference(rename_variables,[],[1035])).
% 1.78/1.91 cnf(1246,plain,
% 1.78/1.91 (~P2(f3(a7,a10,a7,a10),f3(f3(a7,a10,a7,a10),a9,x12461,x12462),f3(f3(x12463,x12464,x12463,x12464),x12464,f3(x12463,x12464,x12463,x12464),x12464),x12463)),
% 1.78/1.91 inference(scs_inference,[],[91,93,50,44,1201,1204,48,1243,97,1186,978,885,899,1095,1035,1129,1082,1056,1084,266,69,78,77,55,79,7,6,71,57,63,65,59,70,62,67,66,64,54,68,29,33,34])).
% 1.78/1.91 cnf(1247,plain,
% 1.78/1.91 (~P2(f3(a7,a10,a7,a10),f3(f3(a7,a10,a7,a10),a9,x12471,x12472),x12473,x12473)),
% 1.78/1.91 inference(rename_variables,[],[1095])).
% 1.78/1.91 cnf(1249,plain,
% 1.78/1.91 (E(f3(f3(x12491,x12492,x12491,x12492),x12492,f3(x12491,x12492,x12491,x12492),x12492),x12491)),
% 1.78/1.91 inference(rename_variables,[],[48])).
% 1.78/1.91 cnf(1255,plain,
% 1.78/1.91 (E(f3(f3(x12551,x12552,x12551,x12552),x12552,f3(x12551,x12552,x12551,x12552),x12552),x12551)),
% 1.78/1.91 inference(rename_variables,[],[48])).
% 1.78/1.91 cnf(1258,plain,
% 1.78/1.91 (~E(f3(f3(a1,x12581,a1,x12581),x12581,f3(a1,x12581,a1,x12581),x12581),f3(x12582,f3(x12583,a2,a11,a1),x12584,x12584))),
% 1.78/1.91 inference(scs_inference,[],[91,93,50,44,1201,1204,48,1243,1249,1255,97,1186,978,1142,885,899,1095,1247,1035,1245,1129,1212,1082,1056,1084,266,69,78,77,55,79,7,6,71,57,63,65,59,70,62,67,66,64,54,68,29,33,34,31,35,3,30,32,2])).
% 1.78/1.91 cnf(1264,plain,
% 1.78/1.91 (~E(f3(f3(a1,x12641,a1,x12641),x12641,f3(a1,x12641,a1,x12641),x12641),f3(x12642,f3(x12643,a2,a11,a1),x12644,x12644))),
% 1.78/1.91 inference(rename_variables,[],[1258])).
% 1.78/1.91 cnf(1273,plain,
% 1.78/1.91 (P2(a2,x12731,x12731,a1)),
% 1.78/1.91 inference(rename_variables,[],[95])).
% 1.78/1.91 cnf(1301,plain,
% 1.78/1.91 ($false),
% 1.78/1.91 inference(scs_inference,[],[95,1273,99,46,44,1193,903,905,1246,1258,1264,1206,1211,1224,1198,563,448,69,58,55,7,71,57,63,59,72,62,65,70,67,66,64,54]),
% 1.78/1.91 ['proof']).
% 1.78/1.92 % SZS output end Proof
% 1.78/1.92 % Total time :1.250000s
%------------------------------------------------------------------------------