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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SEU164+3 : TPTP v8.2.0. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n017.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 : Mon Jun 24 15:01:28 EDT 2024

% Result   : Theorem 181.11s 181.11s
% Output   : CNFRefutation 181.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU164+3 : TPTP v8.2.0. Bugfixed v4.0.0.
% 0.07/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33  % Computer : n017.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Fri Jun 21 12:10:39 EDT 2024
% 0.13/0.33  % CPUTime    : 
% 0.52/0.55  start to proof:theBenchmark
% 181.06/181.08  %-------------------------------------------
% 181.06/181.08  % File        :CSE---1.7
% 181.06/181.08  % Problem     :theBenchmark
% 181.06/181.08  % Transform   :cnf
% 181.06/181.08  % Format      :tptp:raw
% 181.06/181.08  % Command     :java -jar mcs_scs.jar %d %s
% 181.06/181.08  
% 181.06/181.08  % Result      :Theorem 180.480000s
% 181.06/181.08  % Output      :CNFRefutation 180.480000s
% 181.06/181.08  %-------------------------------------------
% 181.11/181.10  %------------------------------------------------------------------------------
% 181.11/181.11  % File     : SEU164+3 : TPTP v8.2.0. Bugfixed v4.0.0.
% 181.11/181.11  % Domain   : Set theory
% 181.11/181.11  % Problem  : Basic properties of sets, theorem 99
% 181.11/181.11  % Version  : [Urb06] axioms : Especial.
% 181.11/181.11  % English  :
% 181.11/181.11  
% 181.11/181.11  % Refs     : [Byl90] Bylinski (1990), Some Basic Properties of Sets
% 181.11/181.11  %          : [Urb06] Urban (2006), Email to G. Sutcliffe
% 181.11/181.11  % Source   : [Urb06]
% 181.11/181.11  % Names    : zfmisc_1__t99_zfmisc_1 [Urb06]
% 181.11/181.11  
% 181.11/181.11  % Status   : Theorem
% 181.11/181.11  % Rating   : 0.44 v8.1.0, 0.42 v7.5.0, 0.38 v7.4.0, 0.43 v7.3.0, 0.38 v7.2.0, 0.34 v7.1.0, 0.35 v7.0.0, 0.40 v6.4.0, 0.38 v6.3.0, 0.42 v6.2.0, 0.52 v6.1.0, 0.67 v6.0.0, 0.52 v5.5.0, 0.56 v5.4.0, 0.61 v5.3.0, 0.63 v5.2.0, 0.50 v5.1.0, 0.52 v5.0.0, 0.54 v4.1.0, 0.61 v4.0.0
% 181.11/181.11  % Syntax   : Number of formulae    :   11 (   4 unt;   0 def)
% 181.11/181.11  %            Number of atoms       :   24 (   6 equ)
% 181.11/181.11  %            Maximal formula atoms :    4 (   2 avg)
% 181.11/181.11  %            Number of connectives :   15 (   2   ~;   0   |;   1   &)
% 181.11/181.11  %                                         (   9 <=>;   3  =>;   0  <=;   0 <~>)
% 181.11/181.11  %            Maximal formula depth :    8 (   5 avg)
% 181.11/181.11  %            Maximal term depth    :    3 (   1 avg)
% 181.11/181.11  %            Number of predicates  :    4 (   3 usr;   0 prp; 1-2 aty)
% 181.11/181.11  %            Number of functors    :    3 (   3 usr;   0 con; 1-1 aty)
% 181.11/181.11  %            Number of variables   :   25 (  22   !;   3   ?)
% 181.11/181.11  % SPC      : FOF_THM_RFO_SEQ
% 181.11/181.11  
% 181.11/181.11  % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 181.11/181.11  %            library, www.mizar.org
% 181.11/181.11  % Bugfixes : v4.0.0 - Removed duplicate formula t2_tarski
% 181.11/181.11  %------------------------------------------------------------------------------
% 181.11/181.11  fof(antisymmetry_r2_hidden,axiom,
% 181.11/181.11      ! [A,B] :
% 181.11/181.11        ( in(A,B)
% 181.11/181.11       => ~ in(B,A) ) ).
% 181.11/181.11  
% 181.11/181.11  fof(d1_tarski,axiom,
% 181.11/181.11      ! [A,B] :
% 181.11/181.11        ( B = singleton(A)
% 181.11/181.11      <=> ! [C] :
% 181.11/181.11            ( in(C,B)
% 181.11/181.11          <=> C = A ) ) ).
% 181.11/181.11  
% 181.11/181.11  fof(d1_zfmisc_1,axiom,
% 181.11/181.11      ! [A,B] :
% 181.11/181.11        ( B = powerset(A)
% 181.11/181.11      <=> ! [C] :
% 181.11/181.11            ( in(C,B)
% 181.11/181.11          <=> subset(C,A) ) ) ).
% 181.11/181.11  
% 181.11/181.11  fof(d3_tarski,axiom,
% 181.11/181.11      ! [A,B] :
% 181.11/181.11        ( subset(A,B)
% 181.11/181.11      <=> ! [C] :
% 181.11/181.11            ( in(C,A)
% 181.11/181.11           => in(C,B) ) ) ).
% 181.11/181.11  
% 181.11/181.11  fof(d4_tarski,axiom,
% 181.11/181.11      ! [A,B] :
% 181.11/181.11        ( B = union(A)
% 181.11/181.11      <=> ! [C] :
% 181.11/181.11            ( in(C,B)
% 181.11/181.11          <=> ? [D] :
% 181.11/181.11                ( in(C,D)
% 181.11/181.11                & in(D,A) ) ) ) ).
% 181.11/181.11  
% 181.11/181.11  fof(l2_zfmisc_1,axiom,
% 181.11/181.11      ! [A,B] :
% 181.11/181.11        ( subset(singleton(A),B)
% 181.11/181.11      <=> in(A,B) ) ).
% 181.11/181.11  
% 181.11/181.11  fof(rc1_xboole_0,axiom,
% 181.11/181.11      ? [A] : empty(A) ).
% 181.11/181.11  
% 181.11/181.11  fof(rc2_xboole_0,axiom,
% 181.11/181.11      ? [A] : ~ empty(A) ).
% 181.11/181.11  
% 181.11/181.11  fof(reflexivity_r1_tarski,axiom,
% 181.11/181.11      ! [A,B] : subset(A,A) ).
% 181.11/181.11  
% 181.11/181.11  fof(t2_tarski,axiom,
% 181.11/181.11      ! [A,B] :
% 181.11/181.11        ( ! [C] :
% 181.11/181.11            ( in(C,A)
% 181.11/181.11          <=> in(C,B) )
% 181.11/181.11       => A = B ) ).
% 181.11/181.11  
% 181.11/181.11  fof(t99_zfmisc_1,conjecture,
% 181.11/181.11      ! [A] : union(powerset(A)) = A ).
% 181.11/181.11  
% 181.11/181.11  %------------------------------------------------------------------------------
% 181.11/181.11  %-------------------------------------------
% 181.11/181.11  % Proof found
% 181.11/181.11  % SZS status Theorem for theBenchmark
% 181.11/181.11  % SZS output start Proof
% 181.11/181.13  %ClaNum:52(EqnAxiom:26)
% 181.11/181.13  %VarNum:153(SingletonVarNum:55)
% 181.11/181.13  %MaxLitNum:4
% 181.11/181.13  %MaxfuncDepth:2
% 181.11/181.13  %SharedTerms:8
% 181.11/181.13  %goalClause: 30
% 181.11/181.13  %singleGoalClaCount:1
% 181.11/181.13  [27]P1(a1)
% 181.11/181.13  [29]~P1(a9)
% 181.11/181.13  [30]~E(f12(f10(a2)),a2)
% 181.11/181.13  [28]P2(x281,x281)
% 181.11/181.13  [34]~P3(x342,x341)+~P3(x341,x342)
% 181.11/181.13  [33]~P3(x331,x332)+P2(f13(x331),x332)
% 181.11/181.13  [37]P3(x371,x372)+~P2(f13(x371),x372)
% 181.11/181.13  [38]P2(x381,x382)+P3(f3(x381,x382),x381)
% 181.11/181.13  [42]P2(x421,x422)+~P3(f3(x421,x422),x422)
% 181.11/181.13  [40]E(f4(x402,x401),x402)+P3(f4(x402,x401),x401)+E(x401,f13(x402))
% 181.11/181.13  [43]E(x431,x432)+P3(f11(x431,x432),x432)+P3(f11(x431,x432),x431)
% 181.11/181.13  [44]P3(f5(x442,x441),x441)+P2(f5(x442,x441),x442)+E(x441,f10(x442))
% 181.11/181.13  [45]P3(f6(x452,x451),x451)+P3(f8(x452,x451),x452)+E(x451,f12(x452))
% 181.11/181.13  [46]~E(f4(x462,x461),x462)+~P3(f4(x462,x461),x461)+E(x461,f13(x462))
% 181.11/181.13  [47]P3(f6(x472,x471),x471)+P3(f6(x472,x471),f8(x472,x471))+E(x471,f12(x472))
% 181.11/181.13  [48]E(x481,x482)+~P3(f11(x481,x482),x482)+~P3(f11(x481,x482),x481)
% 181.11/181.13  [49]~P3(f5(x492,x491),x491)+~P2(f5(x492,x491),x492)+E(x491,f10(x492))
% 181.11/181.13  [39]~P2(x393,x392)+P3(x391,x392)+~P3(x391,x393)
% 181.11/181.13  [31]P3(x311,x312)+~E(x311,x313)+~E(x312,f13(x313))
% 181.11/181.13  [32]~P3(x321,x323)+E(x321,x322)+~E(x323,f13(x322))
% 181.11/181.13  [35]~P2(x351,x353)+P3(x351,x352)+~E(x352,f10(x353))
% 181.11/181.13  [36]~P3(x361,x363)+P2(x361,x362)+~E(x363,f10(x362))
% 181.11/181.13  [50]~P3(x501,x503)+~E(x503,f12(x502))+P3(x501,f7(x502,x503,x501))
% 181.11/181.13  [51]~P3(x513,x512)+~E(x512,f12(x511))+P3(f7(x511,x512,x513),x511)
% 181.11/181.13  [52]~P3(x523,x522)+~P3(f6(x522,x521),x523)+~P3(f6(x522,x521),x521)+E(x521,f12(x522))
% 181.11/181.13  [41]~P3(x411,x414)+P3(x411,x412)+~P3(x414,x413)+~E(x412,f12(x413))
% 181.11/181.13  %EqnAxiom
% 181.11/181.13  [1]E(x11,x11)
% 181.11/181.13  [2]E(x22,x21)+~E(x21,x22)
% 181.11/181.13  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 181.11/181.13  [4]~E(x41,x42)+E(f10(x41),f10(x42))
% 181.11/181.13  [5]~E(x51,x52)+E(f12(x51),f12(x52))
% 181.11/181.13  [6]~E(x61,x62)+E(f13(x61),f13(x62))
% 181.11/181.13  [7]~E(x71,x72)+E(f11(x71,x73),f11(x72,x73))
% 181.11/181.13  [8]~E(x81,x82)+E(f11(x83,x81),f11(x83,x82))
% 181.11/181.13  [9]~E(x91,x92)+E(f5(x91,x93),f5(x92,x93))
% 181.11/181.13  [10]~E(x101,x102)+E(f5(x103,x101),f5(x103,x102))
% 181.11/181.13  [11]~E(x111,x112)+E(f6(x111,x113),f6(x112,x113))
% 181.11/181.13  [12]~E(x121,x122)+E(f6(x123,x121),f6(x123,x122))
% 181.11/181.13  [13]~E(x131,x132)+E(f8(x131,x133),f8(x132,x133))
% 181.11/181.13  [14]~E(x141,x142)+E(f8(x143,x141),f8(x143,x142))
% 181.11/181.13  [15]~E(x151,x152)+E(f4(x151,x153),f4(x152,x153))
% 181.11/181.13  [16]~E(x161,x162)+E(f4(x163,x161),f4(x163,x162))
% 181.11/181.13  [17]~E(x171,x172)+E(f3(x171,x173),f3(x172,x173))
% 181.11/181.13  [18]~E(x181,x182)+E(f3(x183,x181),f3(x183,x182))
% 181.11/181.13  [19]~E(x191,x192)+E(f7(x191,x193,x194),f7(x192,x193,x194))
% 181.11/181.13  [20]~E(x201,x202)+E(f7(x203,x201,x204),f7(x203,x202,x204))
% 181.11/181.13  [21]~E(x211,x212)+E(f7(x213,x214,x211),f7(x213,x214,x212))
% 181.11/181.13  [22]~P1(x221)+P1(x222)+~E(x221,x222)
% 181.11/181.13  [23]P2(x232,x233)+~E(x231,x232)+~P2(x231,x233)
% 181.11/181.13  [24]P2(x243,x242)+~E(x241,x242)+~P2(x243,x241)
% 181.11/181.13  [25]P3(x252,x253)+~E(x251,x252)+~P3(x251,x253)
% 181.11/181.13  [26]P3(x263,x262)+~E(x261,x262)+~P3(x263,x261)
% 181.11/181.13  
% 181.11/181.13  %-------------------------------------------
% 181.17/181.15  cnf(53,plain,
% 181.17/181.15     (~P3(x531,f13(x532))+E(x531,x532)),
% 181.17/181.15     inference(equality_inference,[],[32])).
% 181.17/181.15  cnf(54,plain,
% 181.17/181.15     (~P2(x541,x542)+P3(x541,f10(x542))),
% 181.17/181.15     inference(equality_inference,[],[35])).
% 181.17/181.15  cnf(55,plain,
% 181.17/181.15     (~P3(x551,f10(x552))+P2(x551,x552)),
% 181.17/181.15     inference(equality_inference,[],[36])).
% 181.17/181.15  cnf(56,plain,
% 181.17/181.15     (~P3(x561,x562)+P3(x561,f12(x563))+~P3(x562,x563)),
% 181.17/181.15     inference(equality_inference,[],[41])).
% 181.17/181.15  cnf(57,plain,
% 181.17/181.15     (~P3(x571,f12(x572))+P3(x571,f7(x572,f12(x572),x571))),
% 181.17/181.15     inference(equality_inference,[],[50])).
% 181.17/181.15  cnf(58,plain,
% 181.17/181.15     (~P3(x581,f12(x582))+P3(f7(x582,f12(x582),x581),x582)),
% 181.17/181.15     inference(equality_inference,[],[51])).
% 181.17/181.16  cnf(61,plain,
% 181.17/181.16     (P3(x611,f13(x611))),
% 181.17/181.16     inference(scs_inference,[],[30,28,53,37])).
% 181.17/181.16  cnf(64,plain,
% 181.17/181.16     (~E(a2,f12(f10(a2)))),
% 181.17/181.16     inference(scs_inference,[],[30,28,53,37,25])).
% 181.17/181.16  cnf(67,plain,
% 181.17/181.16     (~P3(x671,a2)+P3(x671,f12(f13(a2)))),
% 181.17/181.16     inference(scs_inference,[],[30,28,53,37,25,34,56])).
% 181.17/181.16  cnf(74,plain,
% 181.17/181.16     (~P3(f13(x741),x741)),
% 181.17/181.16     inference(scs_inference,[],[61,34])).
% 181.17/181.16  cnf(76,plain,
% 181.17/181.16     (~P2(f13(f10(x761)),x761)),
% 181.17/181.16     inference(scs_inference,[],[61,34,54])).
% 181.17/181.16  cnf(78,plain,
% 181.17/181.16     (~P3(f10(x781),x781)),
% 181.17/181.16     inference(scs_inference,[],[61,34,54,33])).
% 181.17/181.16  cnf(80,plain,
% 181.17/181.16     (P3(f6(f10(a2),a2),f8(f10(a2),a2))+P3(f6(f10(a2),a2),a2)),
% 181.17/181.16     inference(scs_inference,[],[61,64,34,54,33,47])).
% 181.17/181.16  cnf(82,plain,
% 181.17/181.16     (~E(x821,f13(f10(x821)))),
% 181.17/181.16     inference(scs_inference,[],[61,64,28,34,54,33,47,23])).
% 181.17/181.16  cnf(83,plain,
% 181.17/181.16     (P2(x831,x831)),
% 181.17/181.16     inference(rename_variables,[],[28])).
% 181.17/181.16  cnf(84,plain,
% 181.17/181.16     (~E(f13(f10(x841)),x841)),
% 181.17/181.16     inference(scs_inference,[],[61,64,28,83,34,54,33,47,23,24])).
% 181.17/181.16  cnf(95,plain,
% 181.17/181.16     (~P3(f13(f10(x951)),f13(x951))),
% 181.17/181.16     inference(scs_inference,[],[84,53])).
% 181.17/181.16  cnf(97,plain,
% 181.17/181.16     (~P2(f10(f10(x971)),x971)),
% 181.17/181.16     inference(scs_inference,[],[78,84,53,54])).
% 181.17/181.16  cnf(100,plain,
% 181.17/181.16     (~E(f10(f13(x1001)),x1001)),
% 181.17/181.16     inference(scs_inference,[],[78,84,53,54,6])).
% 181.17/181.16  cnf(124,plain,
% 181.17/181.16     (~P3(f13(f13(f10(x1241))),f10(f13(x1241)))),
% 181.17/181.16     inference(scs_inference,[],[95,55,37])).
% 181.17/181.16  cnf(126,plain,
% 181.17/181.16     (~E(x1261,x1262)+E(f12(f13(x1261)),f12(f13(x1262)))),
% 181.17/181.16     inference(scs_inference,[],[5,6])).
% 181.17/181.16  cnf(132,plain,
% 181.17/181.16     (P3(x1321,f13(x1321))),
% 181.17/181.16     inference(rename_variables,[],[61])).
% 181.17/181.16  cnf(133,plain,
% 181.17/181.16     (~E(x1331,f13(f13(x1331)))),
% 181.17/181.16     inference(scs_inference,[],[74,61,132,26,25])).
% 181.17/181.16  cnf(151,plain,
% 181.17/181.16     (~E(x1511,x1512)+E(f11(f11(x1513,x1511),x1514),f11(f11(x1513,x1512),x1514))),
% 181.17/181.16     inference(scs_inference,[],[7,8])).
% 181.17/181.16  cnf(168,plain,
% 181.17/181.16     (~E(x1681,x1682)+E(f5(f5(x1683,x1681),x1684),f5(f5(x1683,x1682),x1684))),
% 181.17/181.16     inference(scs_inference,[],[9,10])).
% 181.17/181.16  cnf(170,plain,
% 181.17/181.16     (~E(x1701,x1702)+E(f6(f6(x1703,x1701),x1704),f6(f6(x1703,x1702),x1704))),
% 181.17/181.16     inference(scs_inference,[],[11,12])).
% 181.17/181.16  cnf(172,plain,
% 181.17/181.16     (~E(x1721,x1722)+E(f8(f8(x1723,x1721),x1724),f8(f8(x1723,x1722),x1724))),
% 181.17/181.16     inference(scs_inference,[],[13,14])).
% 181.17/181.16  cnf(174,plain,
% 181.17/181.16     (~E(x1741,x1742)+E(f4(f4(x1743,x1741),x1744),f4(f4(x1743,x1742),x1744))),
% 181.17/181.16     inference(scs_inference,[],[15,16])).
% 181.17/181.16  cnf(176,plain,
% 181.17/181.16     (~E(x1761,x1762)+E(f3(f3(x1763,x1761),x1764),f3(f3(x1763,x1762),x1764))),
% 181.17/181.16     inference(scs_inference,[],[17,18])).
% 181.17/181.16  cnf(178,plain,
% 181.17/181.16     (~P3(f7(x1781,f12(x1781),x1782),x1782)+~P3(x1782,f12(x1781))),
% 181.17/181.16     inference(scs_inference,[],[57,34])).
% 181.17/181.16  cnf(179,plain,
% 181.17/181.16     (~P3(x1791,f12(x1791))),
% 181.17/181.16     inference(scs_inference,[],[58,178])).
% 181.17/181.16  cnf(180,plain,
% 181.17/181.16     (~E(x1801,f10(f10(x1801)))),
% 181.17/181.16     inference(scs_inference,[],[97,28,23])).
% 181.17/181.16  cnf(181,plain,
% 181.17/181.16     (P2(x1811,x1811)),
% 181.17/181.16     inference(rename_variables,[],[28])).
% 181.17/181.16  cnf(184,plain,
% 181.17/181.16     (~P3(f10(f10(x1841)),f13(x1841))),
% 181.17/181.16     inference(scs_inference,[],[97,28,181,23,24,53])).
% 181.17/181.16  cnf(199,plain,
% 181.17/181.16     (~E(x1991,x1992)+E(f7(f7(x1993,x1991,x1994),x1995,x1996),f7(f7(x1993,x1992,x1994),x1995,x1996))),
% 181.17/181.16     inference(scs_inference,[],[19,20])).
% 181.17/181.16  cnf(225,plain,
% 181.17/181.16     (~P3(f13(x2251),f13(f12(x2251)))),
% 181.17/181.16     inference(scs_inference,[],[179,61,26,53])).
% 181.17/181.16  cnf(243,plain,
% 181.17/181.16     (~P3(f12(x2431),f13(f13(x2431)))),
% 181.17/181.16     inference(scs_inference,[],[225,61,25,53])).
% 181.17/181.16  cnf(321,plain,
% 181.17/181.16     (~E(a9,a1)),
% 181.17/181.16     inference(scs_inference,[],[27,29,22,2])).
% 181.17/181.16  cnf(322,plain,
% 181.17/181.16     (~P3(a9,f13(a1))),
% 181.17/181.16     inference(scs_inference,[],[321,53])).
% 181.17/181.16  cnf(324,plain,
% 181.17/181.16     (P3(f3(f13(a9),f13(a1)),f13(a9))),
% 181.17/181.16     inference(scs_inference,[],[61,322,39,38])).
% 181.17/181.16  cnf(327,plain,
% 181.17/181.16     (~E(f13(a9),f13(a1))),
% 181.17/181.16     inference(scs_inference,[],[322,61,324,34,26])).
% 181.17/181.16  cnf(328,plain,
% 181.17/181.16     (P3(x3281,f13(x3281))),
% 181.17/181.16     inference(rename_variables,[],[61])).
% 181.17/181.16  cnf(329,plain,
% 181.17/181.16     (~E(a1,a9)),
% 181.17/181.16     inference(scs_inference,[],[322,61,328,324,34,26,25])).
% 181.17/181.16  cnf(331,plain,
% 181.17/181.16     (~P3(f13(a9),f13(f13(a1)))),
% 181.17/181.16     inference(scs_inference,[],[322,61,328,324,34,26,25,53])).
% 181.17/181.16  cnf(344,plain,
% 181.17/181.16     (~P3(a1,f13(a9))),
% 181.17/181.16     inference(scs_inference,[],[329,53])).
% 181.17/181.16  cnf(347,plain,
% 181.17/181.16     (P3(x3471,f13(x3471))),
% 181.17/181.16     inference(rename_variables,[],[61])).
% 181.17/181.16  cnf(348,plain,
% 181.17/181.16     (~E(f13(a1),f13(a9))),
% 181.17/181.16     inference(scs_inference,[],[331,61,347,329,53,26,25])).
% 181.17/181.16  cnf(363,plain,
% 181.17/181.16     (~P3(f13(a1),f13(f13(a9)))),
% 181.17/181.16     inference(scs_inference,[],[348,53])).
% 181.17/181.16  cnf(365,plain,
% 181.17/181.16     (~E(f3(f13(a9),f13(a1)),a1)),
% 181.17/181.16     inference(scs_inference,[],[344,324,348,53,25])).
% 181.17/181.16  cnf(379,plain,
% 181.17/181.16     (~P3(f3(f13(a9),f13(a1)),f13(a1))),
% 181.17/181.16     inference(scs_inference,[],[365,53])).
% 181.17/181.16  cnf(398,plain,
% 181.17/181.16     (~E(a1,f3(f13(a9),f13(a1)))),
% 181.17/181.16     inference(scs_inference,[],[379,61,25])).
% 181.17/181.16  cnf(405,plain,
% 181.17/181.16     (~E(f3(f13(a9),f13(a1)),f10(f13(a9)))),
% 181.17/181.16     inference(scs_inference,[],[78,324,25])).
% 181.17/181.16  cnf(435,plain,
% 181.17/181.16     (~E(f10(f13(a1)),f13(f13(a9)))),
% 181.17/181.16     inference(scs_inference,[],[28,363,2,35])).
% 181.17/181.16  cnf(437,plain,
% 181.17/181.16     (~E(f10(f13(x4371)),f13(f12(x4371)))),
% 181.17/181.16     inference(scs_inference,[],[28,225,2,35])).
% 181.17/181.16  cnf(441,plain,
% 181.17/181.16     (~E(f10(a1),f13(a9))),
% 181.17/181.16     inference(scs_inference,[],[28,344,2,35])).
% 181.17/181.16  cnf(442,plain,
% 181.17/181.16     (~P3(f10(a1),f13(f13(a9)))),
% 181.17/181.16     inference(scs_inference,[],[441,53])).
% 181.17/181.16  cnf(463,plain,
% 181.17/181.16     (P3(x4631,f13(x4631))),
% 181.17/181.16     inference(rename_variables,[],[61])).
% 181.17/181.16  cnf(464,plain,
% 181.17/181.16     (~E(f13(a9),f10(a1))),
% 181.17/181.16     inference(scs_inference,[],[442,61,463,26,25])).
% 181.17/181.16  cnf(466,plain,
% 181.17/181.16     (~P3(f13(a9),f13(f10(a1)))),
% 181.17/181.16     inference(scs_inference,[],[442,61,463,26,25,53])).
% 181.17/181.16  cnf(514,plain,
% 181.17/181.16     (~E(f10(f13(a9)),f13(f10(a1)))),
% 181.17/181.16     inference(scs_inference,[],[28,466,2,35])).
% 181.17/181.16  cnf(516,plain,
% 181.17/181.16     (~E(f10(f12(x5161)),f13(f13(x5161)))),
% 181.17/181.16     inference(scs_inference,[],[28,243,2,35])).
% 181.17/181.16  cnf(530,plain,
% 181.17/181.16     (~E(f13(f13(f12(x5301))),f13(f10(f13(x5301))))),
% 181.17/181.16     inference(scs_inference,[],[437,61,2,32])).
% 181.17/181.16  cnf(531,plain,
% 181.17/181.16     (~P2(f13(f13(a9)),f3(f13(a9),f13(a1)))),
% 181.17/181.16     inference(scs_inference,[],[324,34,37])).
% 181.17/181.16  cnf(535,plain,
% 181.17/181.16     (~P3(f13(f13(a9)),x5351)+~E(f3(f13(a9),f13(a1)),f12(x5351))),
% 181.17/181.16     inference(scs_inference,[],[324,61,34,41])).
% 181.17/181.16  cnf(539,plain,
% 181.17/181.16     (P2(f13(f3(f13(f13(a9)),f3(f13(a9),f13(a1)))),f13(f13(a9)))),
% 181.17/181.16     inference(scs_inference,[],[531,33,38])).
% 181.17/181.16  cnf(543,plain,
% 181.17/181.16     (~P3(f13(f10(x5431)),x5432)+~E(x5431,f12(x5432))),
% 181.17/181.16     inference(scs_inference,[],[76,61,33,41])).
% 181.17/181.16  cnf(544,plain,
% 181.17/181.16     (~P3(f13(f10(f12(x5441))),x5441)),
% 181.17/181.16     inference(equality_inference,[],[543])).
% 181.17/181.16  cnf(553,plain,
% 181.17/181.16     (~E(x5531,f12(f13(f13(f10(x5531)))))),
% 181.17/181.16     inference(scs_inference,[],[28,37,543])).
% 181.17/181.16  cnf(560,plain,
% 181.17/181.16     (P3(f3(f13(a1),f13(a9)),f13(a1))),
% 181.17/181.16     inference(scs_inference,[],[344,37,38])).
% 181.17/181.16  cnf(561,plain,
% 181.17/181.16     (~P3(f13(a1),f3(f13(a1),f13(a9)))),
% 181.17/181.16     inference(scs_inference,[],[560,34])).
% 181.17/181.16  cnf(567,plain,
% 181.17/181.16     (~P3(f3(f13(a1),f13(a9)),f13(a9))),
% 181.17/181.16     inference(scs_inference,[],[322,560,25,53])).
% 181.17/181.16  cnf(575,plain,
% 181.17/181.16     (P3(x5751,f12(f13(f13(x5751))))),
% 181.17/181.16     inference(scs_inference,[],[28,61,37,56])).
% 181.17/181.16  cnf(577,plain,
% 181.17/181.16     (P3(f3(f13(a9),f13(a1)),f12(f13(f13(a9))))),
% 181.17/181.16     inference(scs_inference,[],[28,324,37,56])).
% 181.17/181.16  cnf(578,plain,
% 181.17/181.16     (P3(f3(f13(x5781),f12(x5781)),f13(x5781))),
% 181.17/181.16     inference(scs_inference,[],[179,37,38])).
% 181.17/181.16  cnf(584,plain,
% 181.17/181.16     (~P3(f13(f10(f10(x5841))),f10(f13(x5841)))),
% 181.17/181.16     inference(scs_inference,[],[184,37,55])).
% 181.17/181.16  cnf(585,plain,
% 181.17/181.16     (~E(f3(f13(x5851),f12(x5851)),f10(f10(x5851)))),
% 181.17/181.16     inference(scs_inference,[],[184,578,25])).
% 181.17/181.16  cnf(596,plain,
% 181.17/181.16     (~P3(f3(f13(a9),f12(a9)),f13(a1))),
% 181.17/181.16     inference(scs_inference,[],[344,578,25,53])).
% 181.17/181.16  cnf(605,plain,
% 181.17/181.16     (~E(f3(f13(a1),f13(a9)),f3(f13(a9),f12(a9)))),
% 181.17/181.16     inference(scs_inference,[],[596,560,25])).
% 181.17/181.16  cnf(614,plain,
% 181.17/181.16     (~P3(f3(f13(a1),f12(a1)),f13(a9))),
% 181.17/181.16     inference(scs_inference,[],[322,578,25,53])).
% 181.17/181.16  cnf(617,plain,
% 181.17/181.16     (~E(f3(f13(a9),f13(a1)),f3(f13(a1),f12(a1)))),
% 181.17/181.16     inference(scs_inference,[],[614,324,25])).
% 181.17/181.16  cnf(618,plain,
% 181.17/181.16     (E(a9,f3(f13(a9),f13(a1)))),
% 181.17/181.16     inference(scs_inference,[],[324,53,2])).
% 181.17/181.16  cnf(619,plain,
% 181.17/181.16     (E(f3(f13(a9),f13(a1)),a9)),
% 181.17/181.16     inference(scs_inference,[],[618,2])).
% 181.17/181.16  cnf(623,plain,
% 181.17/181.16     (~E(f3(f13(a9),f12(a9)),f3(f13(a1),f12(a1)))),
% 181.17/181.16     inference(scs_inference,[],[618,614,100,29,578,2,3,22,25])).
% 181.17/181.16  cnf(626,plain,
% 181.17/181.16     (E(f10(f3(f13(a9),f13(a1))),f10(a9))),
% 181.17/181.16     inference(scs_inference,[],[324,53,4])).
% 181.17/181.16  cnf(633,plain,
% 181.17/181.16     (~P3(f13(f12(f10(a2))),x6331)+~E(f13(a2),f12(x6331))),
% 181.17/181.16     inference(scs_inference,[],[30,61,53,41])).
% 181.17/181.16  cnf(635,plain,
% 181.17/181.16     (~E(f3(f13(a1),f13(a9)),f3(f13(a9),f13(a1)))),
% 181.17/181.16     inference(scs_inference,[],[379,560,25])).
% 181.17/181.16  cnf(648,plain,
% 181.17/181.16     (~P2(f13(f10(a1)),f13(f13(a9)))),
% 181.17/181.16     inference(scs_inference,[],[441,53,37])).
% 181.17/181.16  cnf(655,plain,
% 181.17/181.16     (~P2(f13(f10(f12(x6551))),f13(f13(f13(x6551))))),
% 181.17/181.16     inference(scs_inference,[],[516,53,37])).
% 181.17/181.16  cnf(657,plain,
% 181.17/181.16     (E(f3(f13(f13(a9)),f3(f13(a9),f13(a1))),f13(a9))),
% 181.17/181.16     inference(scs_inference,[],[531,53,38])).
% 181.17/181.16  cnf(669,plain,
% 181.17/181.16     (E(f12(f13(f3(f13(a9),f13(a1)))),f12(f13(a9)))),
% 181.17/181.16     inference(scs_inference,[],[324,53,126])).
% 181.17/181.16  cnf(673,plain,
% 181.17/181.16     (E(x6731,f3(f13(x6731),f12(x6731)))),
% 181.17/181.16     inference(scs_inference,[],[578,53,2])).
% 181.17/181.16  cnf(674,plain,
% 181.17/181.16     (E(f3(f13(x6741),f12(x6741)),x6741)),
% 181.17/181.16     inference(scs_inference,[],[673,2])).
% 181.17/181.16  cnf(678,plain,
% 181.17/181.16     (P1(f3(f13(a1),f12(a1)))),
% 181.17/181.16     inference(scs_inference,[],[673,27,22])).
% 181.17/181.16  cnf(682,plain,
% 181.17/181.16     (~P2(f13(f3(f13(x6821),f12(x6821))),f13(f10(f10(x6821))))),
% 181.17/181.16     inference(scs_inference,[],[585,53,37])).
% 181.17/181.16  cnf(688,plain,
% 181.17/181.16     (~P2(f13(f3(f13(a1),f13(a9))),f13(f3(f13(a9),f12(a9))))),
% 181.17/181.16     inference(scs_inference,[],[605,53,37])).
% 181.17/181.16  cnf(692,plain,
% 181.17/181.16     (~P2(f13(f3(f13(a9),f13(a1))),f13(f3(f13(a1),f12(a1))))),
% 181.17/181.16     inference(scs_inference,[],[617,53,37])).
% 181.17/181.16  cnf(697,plain,
% 181.17/181.16     (~P2(f13(f3(f13(a9),f12(a9))),f13(f3(f13(a1),f12(a1))))),
% 181.17/181.16     inference(scs_inference,[],[623,53,37])).
% 181.17/181.16  cnf(698,plain,
% 181.17/181.16     (~P2(f13(f3(f13(a1),f13(a9))),f13(f3(f13(a9),f13(a1))))),
% 181.17/181.16     inference(scs_inference,[],[635,53,37])).
% 181.17/181.16  cnf(699,plain,
% 181.17/181.16     (P2(f3(f13(a9),f13(a1)),a9)),
% 181.17/181.16     inference(scs_inference,[],[324,28,53,24])).
% 181.17/181.16  cnf(700,plain,
% 181.17/181.16     (E(f3(f13(f10(a1)),f13(f13(a9))),f10(a1))),
% 181.17/181.16     inference(scs_inference,[],[648,53,38])).
% 181.17/181.16  cnf(703,plain,
% 181.17/181.16     (P3(x7031,f10(x7031))),
% 181.17/181.16     inference(scs_inference,[],[61,28,53,35])).
% 181.17/181.16  cnf(707,plain,
% 181.17/181.16     (P2(f3(f13(x7071),f12(x7071)),x7071)),
% 181.17/181.16     inference(scs_inference,[],[673,567,28,560,39,23])).
% 181.17/181.16  cnf(708,plain,
% 181.17/181.16     (P2(x7081,x7081)),
% 181.17/181.16     inference(rename_variables,[],[28])).
% 181.17/181.16  cnf(709,plain,
% 181.17/181.16     (P2(x7091,f3(f13(x7091),f12(x7091)))),
% 181.17/181.16     inference(scs_inference,[],[673,567,28,708,560,39,23,24])).
% 181.17/181.16  cnf(711,plain,
% 181.17/181.16     (~P3(f13(a1),f10(f13(a9)))),
% 181.17/181.16     inference(scs_inference,[],[673,567,28,708,560,39,23,24,55])).
% 181.17/181.16  cnf(721,plain,
% 181.17/181.16     (P3(f3(f13(a9),f13(a1)),f3(f13(f13(a9)),f12(f13(a9))))),
% 181.17/181.16     inference(scs_inference,[],[324,674,53,31])).
% 181.17/181.16  cnf(723,plain,
% 181.17/181.16     (P3(f3(f13(a9),f13(a1)),f10(a9))),
% 181.17/181.16     inference(scs_inference,[],[61,699,53,35])).
% 181.17/181.16  cnf(724,plain,
% 181.17/181.16     (~P2(f10(a9),f13(a1))),
% 181.17/181.16     inference(scs_inference,[],[379,723,39])).
% 181.17/181.16  cnf(726,plain,
% 181.17/181.16     (~P3(f10(a9),f10(f13(a1)))),
% 181.17/181.16     inference(scs_inference,[],[379,723,39,55])).
% 181.17/181.16  cnf(728,plain,
% 181.17/181.16     (P2(f13(x7281),f10(x7281))),
% 181.17/181.16     inference(scs_inference,[],[28,54,33])).
% 181.17/181.16  cnf(742,plain,
% 181.17/181.16     (~P3(f10(x7421),f3(f13(x7421),f12(x7421)))),
% 181.17/181.16     inference(scs_inference,[],[707,54,34])).
% 181.17/181.16  cnf(745,plain,
% 181.17/181.16     (~P2(f10(f13(a1)),f10(f13(a9)))),
% 181.17/181.16     inference(scs_inference,[],[711,703,39])).
% 181.17/181.16  cnf(752,plain,
% 181.17/181.16     (P3(x7521,f3(f13(f10(x7521)),f12(f10(x7521))))),
% 181.17/181.16     inference(scs_inference,[],[28,673,54,26])).
% 181.17/181.16  cnf(758,plain,
% 181.17/181.16     (P2(x7581,x7581)),
% 181.17/181.16     inference(rename_variables,[],[28])).
% 181.17/181.16  cnf(759,plain,
% 181.17/181.16     (~E(f13(a1),f10(a9))),
% 181.17/181.16     inference(scs_inference,[],[724,28,758,24,23])).
% 181.17/181.16  cnf(761,plain,
% 181.17/181.16     (~P3(f10(a9),f13(f13(a1)))),
% 181.17/181.16     inference(scs_inference,[],[724,28,758,24,23,53])).
% 181.17/181.16  cnf(779,plain,
% 181.17/181.16     (~P3(f13(a1),f13(f10(a9)))),
% 181.17/181.16     inference(scs_inference,[],[759,53])).
% 181.17/181.16  cnf(781,plain,
% 181.17/181.16     (~P2(f10(f10(a9)),f13(f13(a1)))),
% 181.17/181.16     inference(scs_inference,[],[761,703,759,53,39])).
% 181.17/181.16  cnf(808,plain,
% 181.17/181.16     (~P2(f13(f10(a9)),f13(f13(a1)))),
% 181.17/181.16     inference(scs_inference,[],[761,61,39])).
% 181.17/181.16  cnf(811,plain,
% 181.17/181.16     (~P2(f13(f13(a1)),f13(f10(a9)))),
% 181.17/181.16     inference(scs_inference,[],[779,61,39])).
% 181.17/181.16  cnf(815,plain,
% 181.17/181.16     (~P2(f10(f10(a9)),f10(f13(a1)))),
% 181.17/181.16     inference(scs_inference,[],[726,703,39])).
% 181.17/181.16  cnf(831,plain,
% 181.17/181.16     (~P2(f10(f10(x8311)),f3(f13(x8311),f12(x8311)))),
% 181.17/181.16     inference(scs_inference,[],[742,703,39])).
% 181.17/181.16  cnf(834,plain,
% 181.17/181.16     (~P2(f13(f10(x8341)),f3(f13(x8341),f12(x8341)))),
% 181.17/181.16     inference(scs_inference,[],[742,61,39])).
% 181.17/181.16  cnf(874,plain,
% 181.17/181.16     (P3(x8741,f12(f10(f10(x8741))))),
% 181.17/181.16     inference(scs_inference,[],[28,703,54,56])).
% 181.17/181.16  cnf(878,plain,
% 181.17/181.16     (P3(f3(f13(a9),f13(a1)),f12(f10(f10(a9))))),
% 181.17/181.16     inference(scs_inference,[],[28,723,54,56])).
% 181.17/181.16  cnf(894,plain,
% 181.17/181.16     (P2(f3(f10(f10(x8941)),x8941),f10(x8941))),
% 181.17/181.16     inference(scs_inference,[],[97,55,38])).
% 181.17/181.16  cnf(895,plain,
% 181.17/181.16     (~P1(f3(f13(a9),f12(a9)))),
% 181.17/181.16     inference(scs_inference,[],[29,674,22])).
% 181.17/181.16  cnf(897,plain,
% 181.17/181.16     (P3(f3(f13(a9),f13(a1)),f3(f13(f10(a9)),f12(f10(a9))))),
% 181.17/181.16     inference(scs_inference,[],[723,674,55,35])).
% 181.17/181.16  cnf(905,plain,
% 181.17/181.16     (~P3(f10(f13(x9051)),f10(x9051))),
% 181.17/181.16     inference(scs_inference,[],[74,703,39,55])).
% 181.17/181.16  cnf(912,plain,
% 181.17/181.16     (E(f10(a9),f10(f3(f13(a9),f13(a1))))),
% 181.17/181.16     inference(scs_inference,[],[619,4,2])).
% 181.17/181.16  cnf(913,plain,
% 181.17/181.16     (E(f10(f12(f3(f13(a9),f13(a1)))),f10(f12(a9)))),
% 181.17/181.16     inference(scs_inference,[],[619,4,5])).
% 181.17/181.16  cnf(914,plain,
% 181.17/181.16     (E(f13(f10(f3(f13(a9),f13(a1)))),f13(f10(a9)))),
% 181.17/181.16     inference(scs_inference,[],[619,4,6])).
% 181.17/181.16  cnf(921,plain,
% 181.17/181.16     (~E(f10(f13(x9211)),f3(f13(x9211),f12(x9211)))),
% 181.17/181.16     inference(scs_inference,[],[100,674,3])).
% 181.17/181.16  cnf(930,plain,
% 181.17/181.16     (~P2(f10(x9301),f12(x9301))),
% 181.17/181.16     inference(scs_inference,[],[179,703,39])).
% 181.17/181.16  cnf(933,plain,
% 181.17/181.16     (~P3(f10(x9331),f10(f12(x9331)))),
% 181.17/181.16     inference(scs_inference,[],[179,703,39,55])).
% 181.17/181.16  cnf(936,plain,
% 181.17/181.16     (~P2(f13(x9361),f12(x9361))),
% 181.17/181.16     inference(scs_inference,[],[179,61,39])).
% 181.17/181.16  cnf(939,plain,
% 181.17/181.16     (~P3(f13(x9391),f10(f12(x9391)))),
% 181.17/181.16     inference(scs_inference,[],[179,61,39,55])).
% 181.17/181.16  cnf(941,plain,
% 181.17/181.16     (E(f10(f7(f3(f13(a9),f13(a1)),x9411,x9412)),f10(f7(a9,x9411,x9412)))),
% 181.17/181.16     inference(scs_inference,[],[619,4,19])).
% 181.17/181.16  cnf(943,plain,
% 181.17/181.16     (E(f10(f7(x9431,x9432,f3(f13(a9),f13(a1)))),f10(f7(x9431,x9432,a9)))),
% 181.17/181.16     inference(scs_inference,[],[619,4,21])).
% 181.17/181.16  cnf(947,plain,
% 181.17/181.16     (~P2(f10(f13(x9471)),f13(f12(x9471)))),
% 181.17/181.16     inference(scs_inference,[],[225,703,39])).
% 181.17/181.16  cnf(964,plain,
% 181.17/181.16     (E(f12(f10(f3(f13(a9),f13(a1)))),f12(f10(a9)))),
% 181.17/181.16     inference(scs_inference,[],[619,4,5])).
% 181.17/181.16  cnf(986,plain,
% 181.17/181.16     (E(f10(f7(x9861,f3(f13(a9),f13(a1)),x9862)),f10(f7(x9861,a9,x9862)))),
% 181.17/181.16     inference(scs_inference,[],[619,4,20])).
% 181.17/181.16  cnf(987,plain,
% 181.17/181.16     (~P2(f10(a1),f13(a9))),
% 181.17/181.16     inference(scs_inference,[],[344,703,39])).
% 181.17/181.16  cnf(990,plain,
% 181.17/181.16     (~P3(f10(a1),f10(f13(a9)))),
% 181.17/181.16     inference(scs_inference,[],[344,703,39,55])).
% 181.17/181.16  cnf(1016,plain,
% 181.17/181.16     (~P2(f10(f10(a1)),f13(f13(a9)))),
% 181.17/181.16     inference(scs_inference,[],[442,703,39])).
% 181.17/181.16  cnf(1052,plain,
% 181.17/181.16     (~P2(f13(f13(a1)),f3(f13(a1),f13(a9)))),
% 181.17/181.16     inference(scs_inference,[],[561,61,39])).
% 181.17/181.16  cnf(1062,plain,
% 181.17/181.16     (E(f12(f3(f13(x10621),f12(x10621))),f12(x10621))),
% 181.17/181.16     inference(scs_inference,[],[578,5,53])).
% 181.17/181.16  cnf(1083,plain,
% 181.17/181.16     (E(f10(f12(a9)),f10(f12(f3(f13(a9),f13(a1)))))),
% 181.17/181.16     inference(scs_inference,[],[618,5,4])).
% 181.17/181.16  cnf(1087,plain,
% 181.17/181.16     (E(f3(x10871,f12(f3(f13(a9),f13(a1)))),f3(x10871,f12(a9)))),
% 181.17/181.16     inference(scs_inference,[],[619,5,18])).
% 181.17/181.16  cnf(1094,plain,
% 181.17/181.16     (E(f12(f10(x10941)),f12(f10(f3(f13(x10941),f12(x10941)))))),
% 181.17/181.16     inference(scs_inference,[],[673,5,4])).
% 181.17/181.16  cnf(1095,plain,
% 181.17/181.16     (P3(f3(f13(x10951),f12(x10951)),f10(x10951))),
% 181.17/181.16     inference(scs_inference,[],[673,703,25])).
% 181.17/181.16  cnf(1105,plain,
% 181.17/181.16     (~P3(x11051,f3(f13(f13(x11052)),f12(f13(x11052))))+E(f12(x11051),f12(x11052))),
% 181.17/181.16     inference(scs_inference,[],[674,5,32])).
% 181.17/181.17  cnf(1116,plain,
% 181.17/181.17     (E(f10(f13(f3(f13(a9),f13(a1)))),f10(f13(a9)))),
% 181.17/181.17     inference(scs_inference,[],[619,6,4])).
% 181.17/181.17  cnf(1131,plain,
% 181.17/181.17     (~P3(x11311,f13(f10(f13(x11311))))),
% 181.17/181.17     inference(scs_inference,[],[82,6,53])).
% 181.17/181.17  cnf(1157,plain,
% 181.17/181.17     (~P2(f13(f10(x11571)),f10(f12(x11571)))),
% 181.17/181.17     inference(scs_inference,[],[933,61,39])).
% 181.17/181.17  cnf(1167,plain,
% 181.17/181.17     (~P2(f13(f13(x11671)),f10(f12(x11671)))),
% 181.17/181.17     inference(scs_inference,[],[939,61,39])).
% 181.17/181.17  cnf(1183,plain,
% 181.17/181.17     (~P2(f13(f10(a1)),f10(f13(a9)))),
% 181.17/181.17     inference(scs_inference,[],[990,61,39])).
% 181.17/181.17  cnf(1188,plain,
% 181.17/181.17     (P2(f13(f3(f10(f10(a1)),f13(f13(a9)))),f10(f10(a1)))),
% 181.17/181.17     inference(scs_inference,[],[1016,38,33])).
% 181.17/181.17  cnf(1194,plain,
% 181.17/181.17     (P2(f13(f3(f13(f13(a1)),f3(f13(a1),f13(a9)))),f13(f13(a1)))),
% 181.17/181.17     inference(scs_inference,[],[1052,38,33])).
% 181.17/181.17  cnf(1197,plain,
% 181.17/181.17     (P3(f3(f10(a1),f13(a9)),f10(a1))),
% 181.17/181.17     inference(scs_inference,[],[1095,614,38,39])).
% 181.17/181.17  cnf(1201,plain,
% 181.17/181.17     (P3(f3(f10(a9),f13(a1)),f10(a9))),
% 181.17/181.17     inference(scs_inference,[],[723,379,38,39])).
% 181.17/181.17  cnf(1202,plain,
% 181.17/181.17     (~P3(f10(a9),f3(f10(a9),f13(a1)))),
% 181.17/181.17     inference(scs_inference,[],[1201,34])).
% 181.17/181.17  cnf(1207,plain,
% 181.17/181.17     (P2(f13(f3(f13(f13(x12071)),f10(f12(x12071)))),f13(f13(x12071)))),
% 181.17/181.17     inference(scs_inference,[],[1167,38,33])).
% 181.17/181.17  cnf(1210,plain,
% 181.17/181.17     (P3(f3(f10(a1),f12(f3(f10(a1),f13(a9)))),f10(a1))),
% 181.17/181.17     inference(scs_inference,[],[1197,179,38,39])).
% 181.17/181.17  cnf(1221,plain,
% 181.17/181.17     (P3(f3(f13(f13(x12211)),x12211),f13(f13(x12211)))),
% 181.17/181.17     inference(scs_inference,[],[74,38,37])).
% 181.17/181.17  cnf(1226,plain,
% 181.17/181.17     (~E(f10(f3(f13(f10(x12261)),x12261)),x12261)),
% 181.17/181.17     inference(scs_inference,[],[76,703,42,26])).
% 181.17/181.17  cnf(1231,plain,
% 181.17/181.17     (~P3(f3(f13(x12311),f12(x12311)),f12(x12311))),
% 181.17/181.17     inference(scs_inference,[],[179,42,37])).
% 181.17/181.17  cnf(1248,plain,
% 181.17/181.17     (~E(f12(f10(f13(f10(x12481)))),x12481)),
% 181.17/181.17     inference(scs_inference,[],[703,543,2])).
% 181.17/181.17  cnf(1250,plain,
% 181.17/181.17     (~E(x12501,f10(f13(f10(f12(x12501)))))),
% 181.17/181.17     inference(scs_inference,[],[703,543,5])).
% 181.17/181.17  cnf(1254,plain,
% 181.17/181.17     (~E(x12541,f13(f10(f12(f13(x12541)))))),
% 181.17/181.17     inference(scs_inference,[],[61,543,126])).
% 181.17/181.17  cnf(1275,plain,
% 181.17/181.17     (~E(f3(f10(a1),f13(a9)),f10(f13(a1)))),
% 181.17/181.17     inference(scs_inference,[],[905,1197,25])).
% 181.17/181.17  cnf(1330,plain,
% 181.17/181.17     (P3(f3(f13(a1),f13(a9)),f10(a1))),
% 181.17/181.17     inference(scs_inference,[],[728,560,39])).
% 181.17/181.17  cnf(1335,plain,
% 181.17/181.17     (~P3(f10(a1),f3(f13(a1),f13(a9)))),
% 181.17/181.17     inference(scs_inference,[],[728,905,560,39,25,34])).
% 181.17/181.17  cnf(1692,plain,
% 181.17/181.17     (E(f10(f4(a9,x16921)),f10(f4(f3(f13(a9),f13(a1)),x16921)))),
% 181.17/181.17     inference(scs_inference,[],[618,15,4])).
% 181.17/181.17  cnf(1704,plain,
% 181.17/181.17     (~P3(x17041,f3(f13(f13(x17042)),f12(f13(x17042))))+E(f4(x17041,x17043),f4(x17042,x17043))),
% 181.17/181.17     inference(scs_inference,[],[674,15,32])).
% 181.17/181.17  cnf(1779,plain,
% 181.17/181.17     (~P3(x17791,f3(f13(f13(x17792)),f12(f13(x17792))))+E(f3(x17791,x17793),f3(x17792,x17793))),
% 181.17/181.17     inference(scs_inference,[],[674,17,32])).
% 181.17/181.17  cnf(1819,plain,
% 181.17/181.17     (E(f12(f13(a9)),f12(f13(f3(f13(a9),f13(a1)))))),
% 181.17/181.17     inference(scs_inference,[],[619,126,2])).
% 181.17/181.17  cnf(1837,plain,
% 181.17/181.17     (E(f12(f13(x18371)),f12(f13(x18372)))+~P3(x18371,f3(f13(f13(x18372)),f12(f13(x18372))))),
% 181.17/181.17     inference(scs_inference,[],[674,126,32])).
% 181.17/181.17  cnf(1847,plain,
% 181.17/181.17     (E(f12(f13(f3(f13(a1),f13(a9)))),f12(f13(a1)))),
% 181.17/181.17     inference(scs_inference,[],[560,126,53])).
% 181.17/181.17  cnf(1888,plain,
% 181.17/181.17     (~P3(x18881,f12(x18882))+P2(f13(x18881),f7(x18882,f12(x18882),x18881))),
% 181.17/181.17     inference(scs_inference,[],[57,33])).
% 181.17/181.17  cnf(1889,plain,
% 181.17/181.17     (P3(f13(x18891),f10(f7(x18892,f12(x18892),x18891)))+~P3(x18891,f12(x18892))),
% 181.17/181.17     inference(scs_inference,[],[1888,54])).
% 181.17/181.17  cnf(1891,plain,
% 181.17/181.17     (~P3(f3(f13(a9),f13(a1)),f12(x18911))+P3(a9,f7(x18911,f12(x18911),f3(f13(a9),f13(a1))))),
% 181.17/181.17     inference(scs_inference,[],[619,57,25])).
% 181.17/181.17  cnf(1900,plain,
% 181.17/181.17     (~P3(f10(x19001),f12(x19002))+~E(f7(x19002,f12(x19002),f10(x19001)),f10(f12(x19001)))),
% 181.17/181.17     inference(scs_inference,[],[930,57,36])).
% 181.17/181.17  cnf(1901,plain,
% 181.17/181.17     (~E(f10(f12(x19011)),f7(x19012,f12(x19012),f10(x19011)))+~P3(f10(x19011),f12(x19012))),
% 181.17/181.17     inference(scs_inference,[],[1900,2])).
% 181.17/181.17  cnf(1934,plain,
% 181.17/181.17     (~P3(f10(a9),f12(x19341))+~P2(f7(x19341,f12(x19341),f10(a9)),f3(f10(a9),f13(a1)))),
% 181.17/181.17     inference(scs_inference,[],[1202,57,39])).
% 181.17/181.17  cnf(1939,plain,
% 181.17/181.17     (~P3(f10(a9),f12(x19391))+~P2(f7(x19391,f12(x19391),f10(a9)),f13(f13(a1)))),
% 181.17/181.17     inference(scs_inference,[],[761,57,39])).
% 181.17/181.17  cnf(1949,plain,
% 181.17/181.17     (~P3(f10(a1),f12(x19491))+~P2(f7(x19491,f12(x19491),f10(a1)),f3(f13(a1),f13(a9)))),
% 181.17/181.17     inference(scs_inference,[],[1335,57,39])).
% 181.17/181.17  cnf(1954,plain,
% 181.17/181.17     (~P3(f13(a1),f12(x19541))+~P2(f7(x19541,f12(x19541),f13(a1)),f13(f10(a9)))),
% 181.17/181.17     inference(scs_inference,[],[779,57,39])).
% 181.17/181.17  cnf(1963,plain,
% 181.17/181.17     (~P3(x19631,f12(x19632))+~P2(f7(x19632,f12(x19632),x19631),f12(x19631))),
% 181.17/181.17     inference(scs_inference,[],[179,57,39])).
% 181.17/181.17  cnf(1966,plain,
% 181.17/181.17     (~P3(f13(x19661),f12(x19662))+~P2(f7(x19662,f12(x19662),f13(x19661)),f13(f12(x19661)))),
% 181.17/181.17     inference(scs_inference,[],[225,57,39])).
% 181.17/181.17  cnf(1969,plain,
% 181.17/181.17     (~P3(a9,f12(x19691))+~E(f7(x19691,f12(x19691),a9),f13(a1))),
% 181.17/181.17     inference(scs_inference,[],[321,57,32])).
% 181.17/181.17  cnf(1970,plain,
% 181.17/181.17     (~E(f13(a1),f7(x19701,f12(x19701),a9))+~P3(a9,f12(x19701))),
% 181.17/181.17     inference(scs_inference,[],[1969,2])).
% 181.17/181.17  cnf(1971,plain,
% 181.17/181.17     (~P3(f13(a1),f13(f7(x19711,f12(x19711),a9)))+~P3(a9,f12(x19711))),
% 181.17/181.17     inference(scs_inference,[],[1970,53])).
% 181.17/181.17  cnf(1972,plain,
% 181.17/181.17     (~P3(f13(a9),f12(x19721))+~E(f7(x19721,f12(x19721),f13(a9)),f13(f13(a1)))),
% 181.17/181.17     inference(scs_inference,[],[327,57,32])).
% 181.17/181.17  cnf(1973,plain,
% 181.17/181.17     (~E(f13(f13(a1)),f7(x19731,f12(x19731),f13(a9)))+~P3(f13(a9),f12(x19731))),
% 181.17/181.17     inference(scs_inference,[],[1972,2])).
% 181.17/181.17  cnf(1976,plain,
% 181.17/181.17     (~P3(f13(a1),f12(x19761))+~P2(f7(x19761,f12(x19761),f13(a1)),f13(f13(a9)))),
% 181.17/181.17     inference(scs_inference,[],[363,57,39])).
% 181.17/181.17  cnf(1979,plain,
% 181.17/181.17     (~P3(a1,f12(x19791))+~E(f7(x19791,f12(x19791),a1),f13(f3(f13(a9),f13(a1))))),
% 181.17/181.17     inference(scs_inference,[],[398,57,32])).
% 181.17/181.17  cnf(1980,plain,
% 181.17/181.17     (~P3(f3(f13(a9),f13(a1)),f12(x19801))+~E(f7(x19801,f12(x19801),f3(f13(a9),f13(a1))),f13(f10(f13(a9))))),
% 181.17/181.17     inference(scs_inference,[],[405,57,32])).
% 181.17/181.17  cnf(1983,plain,
% 181.17/181.17     (~P3(f10(a1),f12(x19831))+~P2(f7(x19831,f12(x19831),f10(a1)),f13(f13(a9)))),
% 181.17/181.17     inference(scs_inference,[],[442,57,39])).
% 181.17/181.17  cnf(1985,plain,
% 181.17/181.17     (~P3(f13(a9),f12(x19851))+~P2(f7(x19851,f12(x19851),f13(a9)),f13(f10(a1)))),
% 181.17/181.17     inference(scs_inference,[],[466,57,39])).
% 181.17/181.17  cnf(1989,plain,
% 181.17/181.17     (~P3(x19891,f12(x19892))+P3(f3(f13(x19891),f12(x19891)),f7(x19892,f12(x19892),f3(f13(x19891),f12(x19891))))),
% 181.17/181.17     inference(scs_inference,[],[673,57,25])).
% 181.17/181.17  cnf(1991,plain,
% 181.17/181.17     (P3(f3(f10(x19911),f12(x19911)),f10(x19911))),
% 181.17/181.17     inference(scs_inference,[],[930,38])).
% 181.17/181.17  cnf(1995,plain,
% 181.17/181.17     (P3(f13(x19951),f10(f10(x19951)))),
% 181.17/181.17     inference(scs_inference,[],[987,930,728,38,42,54])).
% 181.17/181.17  cnf(1999,plain,
% 181.17/181.17     (E(f3(f13(a1),f13(a9)),a1)),
% 181.17/181.17     inference(scs_inference,[],[987,930,1330,728,560,38,42,54,55,53])).
% 181.17/181.17  cnf(2006,plain,
% 181.17/181.17     (~P3(f10(x20061),f13(f12(x20061)))),
% 181.17/181.17     inference(scs_inference,[],[987,1231,930,1330,728,933,707,560,38,42,54,55,53,34,35,39])).
% 181.17/181.17  cnf(2016,plain,
% 181.17/181.17     (~P3(f3(f10(x20161),f12(x20161)),f12(x20161))),
% 181.17/181.17     inference(scs_inference,[],[930,42])).
% 181.17/181.17  cnf(2018,plain,
% 181.17/181.17     (P2(f3(f10(x20181),f12(x20181)),x20181)),
% 181.17/181.17     inference(scs_inference,[],[1991,930,42,55])).
% 181.17/181.17  cnf(2027,plain,
% 181.17/181.17     (P2(f3(f10(a9),f13(a1)),a9)),
% 181.17/181.17     inference(scs_inference,[],[1201,55])).
% 181.17/181.17  cnf(2029,plain,
% 181.17/181.17     (~P3(f13(x20291),f3(f10(x20291),f12(x20291)))),
% 181.17/181.17     inference(scs_inference,[],[2018,1201,74,55,39])).
% 181.17/181.17  cnf(2043,plain,
% 181.17/181.17     (P2(f3(f13(x20431),f12(x20431)),x20432)+~E(f10(x20431),f10(x20432))),
% 181.17/181.17     inference(scs_inference,[],[2027,1095,1197,74,55,39,36])).
% 181.17/181.17  cnf(2069,plain,
% 181.17/181.17     (P2(f3(f10(x20691),f12(x20691)),x20692)+~E(f10(x20691),f10(x20692))),
% 181.17/181.17     inference(scs_inference,[],[1991,36])).
% 181.17/181.17  cnf(2071,plain,
% 181.17/181.17     (P3(f3(f10(x20711),f12(x20711)),f10(x20712))+~E(f10(x20711),f10(x20712))),
% 181.17/181.17     inference(scs_inference,[],[1991,36,54])).
% 181.17/181.17  cnf(2073,plain,
% 181.17/181.17     (~P3(f10(x20731),f3(f10(x20732),f12(x20732)))+~E(f10(x20732),f10(x20731))),
% 181.17/181.17     inference(scs_inference,[],[1991,36,54,34])).
% 181.17/181.17  cnf(2075,plain,
% 181.17/181.17     (~E(f12(x20751),f10(x20752))+~E(f10(x20751),f10(x20752))),
% 181.17/181.17     inference(scs_inference,[],[2016,1991,36,54,34,35])).
% 181.17/181.17  cnf(2088,plain,
% 181.17/181.17     (P3(f8(f10(a2),a2),f10(a2))+P3(f6(f10(a2),a2),a2)),
% 181.17/181.17     inference(scs_inference,[],[64,45])).
% 181.17/181.17  cnf(2101,plain,
% 181.17/181.17     (P2(a1,f3(f13(a1),f13(a9)))),
% 181.17/181.17     inference(scs_inference,[],[28,1999,1330,36,23])).
% 181.17/181.17  cnf(2122,plain,
% 181.17/181.17     (P2(f3(f10(a9),f13(a1)),x21221)+~E(f10(a9),f10(x21221))),
% 181.17/181.17     inference(scs_inference,[],[1201,36])).
% 181.17/181.17  cnf(2124,plain,
% 181.17/181.17     (P3(f3(f10(a9),f13(a1)),f10(x21241))+~E(f10(a9),f10(x21241))),
% 181.17/181.17     inference(scs_inference,[],[1201,36,54])).
% 181.17/181.17  cnf(2305,plain,
% 181.17/181.17     (~P3(a1,f3(f13(x23051),f12(x23051)))+~E(f13(a9),f12(f10(x23051)))),
% 181.17/181.17     inference(scs_inference,[],[1095,344,41])).
% 181.17/181.17  cnf(2346,plain,
% 181.17/181.17     (~P3(x23461,f3(f10(x23462),f12(x23462)))+~E(f12(x23461),f12(f10(x23462)))),
% 181.17/181.17     inference(scs_inference,[],[1991,179,41])).
% 181.17/181.17  cnf(2348,plain,
% 181.17/181.17     (~P2(f13(x23481),f3(f10(x23482),f12(x23482)))+~E(f12(x23481),f12(f10(x23482)))),
% 181.17/181.17     inference(scs_inference,[],[1991,179,41,37])).
% 181.17/181.17  cnf(2353,plain,
% 181.17/181.17     (P3(f8(f10(a2),a2),f10(a2))),
% 181.17/181.17     inference(scs_inference,[],[703,64,2088,52])).
% 181.17/181.17  cnf(2354,plain,
% 181.17/181.17     (~P3(f10(a2),f8(f10(a2),a2))),
% 181.17/181.17     inference(scs_inference,[],[2353,34])).
% 181.17/181.17  cnf(2356,plain,
% 181.17/181.17     (P2(f8(f10(a2),a2),a2)),
% 181.17/181.17     inference(scs_inference,[],[2353,34,55])).
% 181.17/181.17  cnf(2397,plain,
% 181.17/181.17     (~P3(a9,f3(f13(x23971),f12(x23971)))+~E(f13(a1),f12(f10(x23971)))),
% 181.17/181.17     inference(scs_inference,[],[1095,322,41])).
% 181.17/181.17  cnf(2400,plain,
% 181.17/181.17     (~P3(f13(a9),f13(f12(f10(x24001))))+~P3(a1,f3(f13(x24001),f12(x24001)))),
% 181.17/181.17     inference(scs_inference,[],[2305,53])).
% 181.17/181.17  cnf(2414,plain,
% 181.17/181.17     (~P3(x24141,f8(f10(a2),a2))+~E(f12(x24141),f12(f10(a2)))),
% 181.17/181.17     inference(scs_inference,[],[2353,179,41])).
% 181.17/181.17  cnf(2420,plain,
% 181.17/181.17     (~E(f12(f10(x24201)),f13(a1))+~P3(a9,f3(f13(x24201),f12(x24201)))),
% 181.17/181.17     inference(scs_inference,[],[2397,2])).
% 181.17/181.17  cnf(2427,plain,
% 181.17/181.17     (~P3(f12(f10(x24271)),f13(f13(a1)))+~P3(a9,f3(f13(x24271),f12(x24271)))),
% 181.17/181.17     inference(scs_inference,[],[2420,53])).
% 181.17/181.17  cnf(2440,plain,
% 181.17/181.17     (~P3(x24401,f3(f13(x24402),f12(x24402)))+~E(f12(x24401),f12(f10(x24402)))),
% 181.17/181.17     inference(scs_inference,[],[1095,179,41])).
% 181.17/181.17  cnf(2467,plain,
% 181.17/181.17     (~P3(f6(f10(a2),a2),a2)),
% 181.17/181.17     inference(scs_inference,[],[64,703,52])).
% 181.17/181.17  cnf(2470,plain,
% 181.17/181.17     (P3(f6(f10(a2),a2),f8(f10(a2),a2))),
% 181.17/181.17     inference(scs_inference,[],[2467,80])).
% 181.17/181.17  cnf(2542,plain,
% 181.17/181.17     (~P3(x25421,f3(f10(a9),f13(a1)))+~E(f12(x25421),f12(f10(a9)))),
% 181.17/181.17     inference(scs_inference,[],[179,1201,41])).
% 181.17/181.17  cnf(2544,plain,
% 181.17/181.17     (~P2(f13(x25441),f3(f10(a9),f13(a1)))+~E(f12(x25441),f12(f10(a9)))),
% 181.17/181.17     inference(scs_inference,[],[179,1201,41,37])).
% 181.17/181.17  cnf(2583,plain,
% 181.17/181.17     (~P3(a9,f3(f13(x25831),f12(x25831)))+~E(f13(a1),f12(f13(x25831)))),
% 181.17/181.17     inference(scs_inference,[],[578,322,41])).
% 181.17/181.17  cnf(2585,plain,
% 181.17/181.17     (~E(f12(f13(x25851)),f13(a1))+~P3(a9,f3(f13(x25851),f12(x25851)))),
% 181.17/181.17     inference(scs_inference,[],[2583,2])).
% 181.17/181.17  cnf(2586,plain,
% 181.17/181.17     (~P3(f12(f13(x25861)),f13(f13(a1)))+~P3(a9,f3(f13(x25861),f12(x25861)))),
% 181.17/181.17     inference(scs_inference,[],[2585,53])).
% 181.17/181.17  cnf(2649,plain,
% 181.17/181.17     (~P3(x26491,f3(f13(x26492),f12(x26492)))+~E(f12(x26491),f12(f13(x26492)))),
% 181.17/181.17     inference(scs_inference,[],[179,578,41])).
% 181.17/181.17  cnf(2676,plain,
% 181.17/181.17     (~P3(a1,f3(f13(x26761),f12(x26761)))+~E(f13(a9),f12(f13(x26761)))),
% 181.17/181.17     inference(scs_inference,[],[344,578,41])).
% 181.17/181.17  cnf(2678,plain,
% 181.17/181.17     (~E(f12(f13(x26781)),f13(a9))+~P3(a1,f3(f13(x26781),f12(x26781)))),
% 181.17/181.17     inference(scs_inference,[],[2676,2])).
% 181.17/181.17  cnf(2679,plain,
% 181.17/181.17     (~P3(f12(f13(x26791)),f13(f13(a9)))+~P3(a1,f3(f13(x26791),f12(x26791)))),
% 181.17/181.17     inference(scs_inference,[],[2678,53])).
% 181.17/181.17  cnf(2745,plain,
% 181.17/181.17     (~P3(x27451,f3(f13(a1),f13(a9)))+~E(f12(x27451),f12(f13(a1)))),
% 181.17/181.17     inference(scs_inference,[],[179,560,41])).
% 181.17/181.17  cnf(2754,plain,
% 181.17/181.17     (~P3(x27541,f3(f13(a9),f13(a1)))+~E(f12(x27541),f12(f13(a9)))),
% 181.17/181.17     inference(scs_inference,[],[324,179,41])).
% 181.17/181.17  cnf(2756,plain,
% 181.17/181.17     (~P2(f13(x27561),f3(f13(a9),f13(a1)))+~E(f12(x27561),f12(f13(a9)))),
% 181.17/181.17     inference(scs_inference,[],[324,179,41,37])).
% 181.17/181.17  cnf(2791,plain,
% 181.17/181.17     (~P3(x27911,f3(f13(a9),f13(a1)))+~E(f12(x27911),f12(f10(a9)))),
% 181.17/181.17     inference(scs_inference,[],[723,179,41])).
% 181.17/181.17  cnf(2843,plain,
% 181.17/181.17     (~E(f10(x28431),f12(x28432))+~E(f10(x28432),f10(x28431))),
% 181.17/181.17     inference(scs_inference,[],[2075,2])).
% 181.17/181.17  cnf(2846,plain,
% 181.17/181.17     (~E(f10(x28461),f10(x28462))+~P3(f12(x28461),f13(f10(x28462)))),
% 181.17/181.17     inference(scs_inference,[],[2075,53])).
% 181.17/181.17  cnf(2850,plain,
% 181.17/181.17     (~E(f10(x28501),f10(x28502))+~E(f13(f12(x28501)),f13(f10(x28502)))),
% 181.17/181.17     inference(scs_inference,[],[61,2075,32])).
% 181.17/181.17  cnf(2855,plain,
% 181.17/181.17     (~E(f10(x28551),f10(x28552))+~E(f10(f12(x28551)),f13(f10(x28552)))),
% 181.17/181.17     inference(scs_inference,[],[703,2075,32])).
% 181.17/181.17  cnf(2856,plain,
% 181.17/181.17     (~E(f12(x28561),f10(x28562))+~E(f13(f10(x28561)),f13(f10(x28562)))),
% 181.17/181.17     inference(scs_inference,[],[61,2075,32])).
% 181.17/181.17  cnf(3160,plain,
% 181.17/181.17     (~P3(f13(f10(f12(x31601))),x31601)),
% 181.17/181.17     inference(rename_variables,[],[544])).
% 181.17/181.17  cnf(3162,plain,
% 181.17/181.17     (~E(x31621,f12(f10(f10(f10(x31621)))))),
% 181.17/181.17     inference(scs_inference,[],[1062,544,1995,5,67,543])).
% 181.17/181.17  cnf(3163,plain,
% 181.17/181.17     (P3(f13(x31631),f10(f10(x31631)))),
% 181.17/181.17     inference(rename_variables,[],[1995])).
% 181.17/181.17  cnf(3181,plain,
% 181.17/181.17     (E(f12(f13(x31811)),f12(f13(f3(f13(x31811),f12(x31811)))))),
% 181.17/181.17     inference(scs_inference,[],[1062,544,575,1995,673,5,67,543,7,8,9,10,11,12,13,14,15,16,17,18,57,58,126])).
% 181.17/181.17  cnf(3202,plain,
% 181.17/181.17     (P3(f13(x32021),f10(f10(x32021)))),
% 181.17/181.17     inference(rename_variables,[],[1995])).
% 181.17/181.17  cnf(3213,plain,
% 181.17/181.17     (P3(x32131,f12(f13(f13(x32131))))),
% 181.17/181.17     inference(rename_variables,[],[575])).
% 181.17/181.17  cnf(3216,plain,
% 181.17/181.17     (E(f12(f3(f13(x32161),f12(x32161))),f12(x32161))),
% 181.17/181.17     inference(rename_variables,[],[1062])).
% 181.17/181.17  cnf(3221,plain,
% 181.17/181.17     (E(f12(f3(f13(x32211),f12(x32211))),f12(x32211))),
% 181.17/181.17     inference(rename_variables,[],[1062])).
% 181.17/181.17  cnf(3225,plain,
% 181.17/181.17     (~E(f12(f6(f10(a2),a2)),f12(f10(a2)))),
% 181.17/181.17     inference(scs_inference,[],[2470,1062,3216,626,544,575,912,752,914,1999,1995,3163,673,5,67,543,7,8,9,10,11,12,13,14,15,16,17,18,57,58,126,2843,19,20,21,1888,2846,2043,2069,151,168,170,172,174,176,633,1889,2850,2855,2856,1969,2346,2440,2649,2122,2414])).
% 181.17/181.17  cnf(3228,plain,
% 181.17/181.17     (P3(x32281,f12(f13(f13(x32281))))),
% 181.17/181.17     inference(rename_variables,[],[575])).
% 181.17/181.17  cnf(3231,plain,
% 181.17/181.17     (P3(x32311,f3(f13(f10(x32311)),f12(f10(x32311))))),
% 181.17/181.17     inference(rename_variables,[],[752])).
% 181.17/181.17  cnf(3234,plain,
% 181.17/181.17     (E(f12(f3(f13(x32341),f12(x32341))),f12(x32341))),
% 181.17/181.17     inference(rename_variables,[],[1062])).
% 181.17/181.17  cnf(3237,plain,
% 181.17/181.17     (P3(x32371,f3(f13(f10(x32371)),f12(f10(x32371))))),
% 181.17/181.17     inference(rename_variables,[],[752])).
% 181.17/181.17  cnf(3240,plain,
% 181.17/181.17     (P3(x32401,f3(f13(f10(x32401)),f12(f10(x32401))))),
% 181.17/181.17     inference(rename_variables,[],[752])).
% 181.17/181.17  cnf(3243,plain,
% 181.17/181.17     (P3(x32431,f3(f13(f10(x32431)),f12(f10(x32431))))),
% 181.17/181.17     inference(rename_variables,[],[752])).
% 181.17/181.17  cnf(3250,plain,
% 181.17/181.17     (P3(x32501,f12(f13(f13(x32501))))),
% 181.17/181.17     inference(rename_variables,[],[575])).
% 181.17/181.17  cnf(3253,plain,
% 181.17/181.17     (P3(x32531,f12(f13(f13(x32531))))),
% 181.17/181.17     inference(rename_variables,[],[575])).
% 181.17/181.17  cnf(3256,plain,
% 181.17/181.17     (P3(x32561,f12(f13(f13(x32561))))),
% 181.17/181.17     inference(rename_variables,[],[575])).
% 181.17/181.17  cnf(3261,plain,
% 181.17/181.17     (E(f12(f3(f13(x32611),f12(x32611))),f12(x32611))),
% 181.17/181.17     inference(rename_variables,[],[1062])).
% 181.17/181.17  cnf(3264,plain,
% 181.17/181.17     (E(f12(f3(f13(x32641),f12(x32641))),f12(x32641))),
% 181.17/181.17     inference(rename_variables,[],[1062])).
% 181.17/181.17  cnf(3267,plain,
% 181.17/181.17     (E(f12(f3(f13(x32671),f12(x32671))),f12(x32671))),
% 181.17/181.17     inference(rename_variables,[],[1062])).
% 181.17/181.17  cnf(3270,plain,
% 181.17/181.17     (P3(x32701,f3(f13(f10(x32701)),f12(f10(x32701))))),
% 181.17/181.17     inference(rename_variables,[],[752])).
% 181.17/181.17  cnf(3276,plain,
% 181.17/181.17     (E(f12(f3(f13(x32761),f12(x32761))),f12(x32761))),
% 181.17/181.17     inference(rename_variables,[],[1062])).
% 181.17/181.17  cnf(3279,plain,
% 181.17/181.17     (E(f12(f3(f13(x32791),f12(x32791))),f12(x32791))),
% 181.17/181.17     inference(rename_variables,[],[1062])).
% 181.17/181.17  cnf(3282,plain,
% 181.17/181.17     (P3(x32821,f12(f13(f13(x32821))))),
% 181.17/181.17     inference(rename_variables,[],[575])).
% 181.17/181.17  cnf(3285,plain,
% 181.17/181.17     (P3(x32851,f12(f13(f13(x32851))))),
% 181.17/181.17     inference(rename_variables,[],[575])).
% 181.17/181.17  cnf(3288,plain,
% 181.17/181.17     (P3(x32881,f12(f13(f13(x32881))))),
% 181.17/181.17     inference(rename_variables,[],[575])).
% 181.17/181.17  cnf(3291,plain,
% 181.17/181.17     (P3(x32911,f12(f13(f13(x32911))))),
% 181.17/181.17     inference(rename_variables,[],[575])).
% 181.17/181.17  cnf(3300,plain,
% 181.17/181.17     (E(f10(f12(f3(f13(x33001),f12(x33001)))),f10(f12(x33001)))),
% 181.17/181.17     inference(scs_inference,[],[2470,1062,3216,3221,3234,3261,3264,3267,3276,3279,626,544,575,3213,3228,3250,3253,3256,3282,3285,3288,3291,912,752,3231,3237,3240,3243,3270,577,914,1999,1995,3163,3202,673,5,67,543,7,8,9,10,11,12,13,14,15,16,17,18,57,58,126,2843,19,20,21,1888,2846,2043,2069,151,168,170,172,174,176,633,1889,2850,2855,2856,1969,2346,2440,2649,2122,2414,1971,2305,2348,2420,2583,2585,199,535,1900,1901,1966,2124,2542,2754,2791,2400,2679,2544,2756,1939,1972,1976,1985,1989,1949,1980,4])).
% 181.17/181.17  cnf(3305,plain,
% 181.17/181.17     (E(f3(f13(f13(x33051)),x33051),f13(x33051))),
% 181.17/181.17     inference(scs_inference,[],[947,2470,1062,3216,3221,3234,3261,3264,3267,3276,3279,626,544,575,3213,3228,3250,3253,3256,3282,3285,3288,3291,912,1221,752,3231,3237,3240,3243,3270,577,914,1999,1995,3163,3202,673,5,67,543,7,8,9,10,11,12,13,14,15,16,17,18,57,58,126,2843,19,20,21,1888,2846,2043,2069,151,168,170,172,174,176,633,1889,2850,2855,2856,1969,2346,2440,2649,2122,2414,1971,2305,2348,2420,2583,2585,199,535,1900,1901,1966,2124,2542,2754,2791,2400,2679,2544,2756,1939,1972,1976,1985,1989,1949,1980,4,38,42,53])).
% 181.17/181.17  cnf(3319,plain,
% 181.17/181.17     (~E(f13(f10(f13(f3(f13(a1),f13(a9))))),f13(a1))),
% 181.17/181.17     inference(scs_inference,[],[921,947,2470,894,1062,3216,3221,3234,3261,3264,3267,3276,3279,626,544,3160,575,3213,3228,3250,3253,3256,3282,3285,3288,3291,912,1131,1221,752,3231,3237,3240,3243,3270,577,1210,914,1999,1995,3163,3202,673,5,67,543,7,8,9,10,11,12,13,14,15,16,17,18,57,58,126,2843,19,20,21,1888,2846,2043,2069,151,168,170,172,174,176,633,1889,2850,2855,2856,1969,2346,2440,2649,2122,2414,1971,2305,2348,2420,2583,2585,199,535,1900,1901,1966,2124,2542,2754,2791,2400,2679,2544,2756,1939,1972,1976,1985,1989,1949,1980,4,38,42,53,33,37,34,6,54,2,55,31])).
% 181.17/181.17  cnf(3427,plain,
% 181.17/181.17     (~P3(f12(f13(f13(x34271))),x34271)),
% 181.17/181.17     inference(scs_inference,[],[1999,575,815,544,3319,55,2,54,6,34])).
% 181.17/181.17  cnf(3429,plain,
% 181.17/181.17     (P3(x34291,f3(f13(f13(x34291)),f12(f13(x34291))))),
% 181.17/181.17     inference(scs_inference,[],[1999,709,575,815,544,3319,55,2,54,6,34,37])).
% 181.17/181.17  cnf(3430,plain,
% 181.17/181.17     (P2(x34301,f3(f13(x34301),f12(x34301)))),
% 181.17/181.17     inference(rename_variables,[],[709])).
% 181.17/181.17  cnf(3449,plain,
% 181.17/181.17     (P3(x34491,f12(f10(f10(x34491))))),
% 181.17/181.17     inference(rename_variables,[],[874])).
% 181.17/181.17  cnf(3458,plain,
% 181.17/181.17     (P3(x34581,f12(f10(f10(x34581))))),
% 181.17/181.17     inference(rename_variables,[],[874])).
% 181.17/181.17  cnf(3461,plain,
% 181.17/181.17     (P3(x34611,f12(f10(f10(x34611))))),
% 181.17/181.17     inference(rename_variables,[],[874])).
% 181.17/181.17  cnf(3468,plain,
% 181.17/181.17     (P3(x34681,f12(f10(f10(x34681))))),
% 181.17/181.17     inference(rename_variables,[],[874])).
% 181.17/181.17  cnf(3475,plain,
% 181.17/181.17     (P3(x34751,f12(f10(f10(x34751))))),
% 181.17/181.17     inference(rename_variables,[],[874])).
% 181.17/181.17  cnf(3484,plain,
% 181.17/181.17     (P3(x34841,f12(f10(f10(x34841))))),
% 181.17/181.17     inference(rename_variables,[],[874])).
% 181.17/181.17  cnf(3493,plain,
% 181.17/181.17     (P3(x34931,f12(f10(f10(x34931))))),
% 181.17/181.17     inference(rename_variables,[],[874])).
% 181.17/181.17  cnf(3496,plain,
% 181.17/181.17     (P3(x34961,f12(f10(f10(x34961))))),
% 181.17/181.17     inference(rename_variables,[],[874])).
% 181.17/181.17  cnf(3499,plain,
% 181.17/181.17     (P3(x34991,f12(f10(f10(x34991))))),
% 181.17/181.17     inference(rename_variables,[],[874])).
% 181.17/181.17  cnf(3506,plain,
% 181.17/181.17     (P3(x35061,f12(f10(f10(x35061))))),
% 181.17/181.17     inference(rename_variables,[],[874])).
% 181.17/181.17  cnf(3509,plain,
% 181.17/181.17     (P3(x35091,f12(f10(f10(x35091))))),
% 181.17/181.17     inference(rename_variables,[],[874])).
% 181.17/181.17  cnf(3512,plain,
% 181.17/181.17     (P3(x35121,f12(f10(f10(x35121))))),
% 181.17/181.17     inference(rename_variables,[],[874])).
% 181.17/181.17  cnf(3519,plain,
% 181.17/181.17     (P3(x35191,f12(f10(f10(x35191))))),
% 181.17/181.17     inference(rename_variables,[],[874])).
% 181.17/181.17  cnf(3526,plain,
% 181.17/181.17     (P3(x35261,f12(f10(f10(x35261))))),
% 181.17/181.17     inference(rename_variables,[],[874])).
% 181.17/181.17  cnf(3529,plain,
% 181.17/181.17     (P3(x35291,f12(f10(f10(x35291))))),
% 181.17/181.17     inference(rename_variables,[],[874])).
% 181.17/181.17  cnf(3546,plain,
% 181.17/181.17     (E(x35461,f3(f13(x35461),f12(x35461)))),
% 181.17/181.17     inference(rename_variables,[],[673])).
% 181.17/181.17  cnf(3547,plain,
% 181.17/181.17     (~E(x35471,f13(f10(f3(f13(x35471),f12(x35471)))))),
% 181.17/181.17     inference(scs_inference,[],[674,673,76,1999,560,709,3430,437,575,912,815,577,878,913,553,544,692,721,874,3449,3458,3461,3468,3475,3484,3493,3496,3499,3506,3509,3512,3519,3526,3529,3300,669,964,1692,3319,3225,1226,55,2,54,6,34,37,33,53,2850,2542,2043,2440,2586,1889,1954,5,2843,2346,1973,1976,2855,2649,1979,1980,1989,1939,2075,4,2846,1969,1891,1888,2071,1966,1983,1985,2420,2073,1900,1901,1971,1105,2348,1970,2427,1963,1949,1934,543,2544,2397,2069,1972,178,26,23])).
% 181.17/181.17  cnf(3548,plain,
% 181.17/181.17     (~P2(f13(f10(x35481)),x35481)),
% 181.17/181.17     inference(rename_variables,[],[76])).
% 181.17/181.17  cnf(3549,plain,
% 181.17/181.17     (P3(x35491,f12(f13(f10(x35491))))),
% 181.17/181.17     inference(scs_inference,[],[674,61,703,673,76,1999,560,709,3430,437,575,912,815,577,878,913,553,544,692,721,874,3449,3458,3461,3468,3475,3484,3493,3496,3499,3506,3509,3512,3519,3526,3529,3300,669,964,1692,3319,3225,1226,55,2,54,6,34,37,33,53,2850,2542,2043,2440,2586,1889,1954,5,2843,2346,1973,1976,2855,2649,1979,1980,1989,1939,2075,4,2846,1969,1891,1888,2071,1966,1983,1985,2420,2073,1900,1901,1971,1105,2348,1970,2427,1963,1949,1934,543,2544,2397,2069,1972,178,26,23,56])).
% 181.17/181.17  cnf(3550,plain,
% 181.17/181.17     (P3(x35501,f13(x35501))),
% 181.17/181.17     inference(rename_variables,[],[61])).
% 181.17/181.17  cnf(3557,plain,
% 181.17/181.17     (E(x35571,f3(f13(x35571),f12(x35571)))),
% 181.17/181.17     inference(rename_variables,[],[673])).
% 181.17/181.17  cnf(3558,plain,
% 181.17/181.17     (~E(f10(f13(f3(f13(x35581),f12(x35581)))),x35581)),
% 181.17/181.17     inference(scs_inference,[],[619,674,61,3550,703,673,3546,3557,76,3548,100,1999,560,709,3430,437,575,678,912,815,577,878,913,553,544,692,721,874,3449,3458,3461,3468,3475,3484,3493,3496,3499,3506,3509,3512,3519,3526,3529,3300,669,964,1692,3319,3225,1226,55,2,54,6,34,37,33,53,2850,2542,2043,2440,2586,1889,1954,5,2843,2346,1973,1976,2855,2649,1979,1980,1989,1939,2075,4,2846,1969,1891,1888,2071,1966,1983,1985,2420,2073,1900,1901,1971,1105,2348,1970,2427,1963,1949,1934,543,2544,2397,2069,1972,178,26,23,56,24,25,22,3])).
% 181.17/181.17  cnf(3593,plain,
% 181.17/181.17     (E(f12(f10(a9)),f12(f10(f3(f13(a9),f13(a1)))))),
% 181.17/181.17     inference(scs_inference,[],[964,781,55,2])).
% 181.17/181.17  cnf(3605,plain,
% 181.17/181.17     (~E(f13(f3(f13(f10(x36051)),f12(f10(x36051)))),x36051)),
% 181.17/181.17     inference(scs_inference,[],[180,577,964,781,530,3558,124,1207,682,55,2,54,6,34,37,53,33,4])).
% 181.17/181.17  cnf(3609,plain,
% 181.17/181.17     (P3(x36091,f12(f13(f10(x36091))))),
% 181.17/181.17     inference(rename_variables,[],[3549])).
% 181.17/181.17  cnf(3614,plain,
% 181.17/181.17     (P3(x36141,f12(f13(f10(x36141))))),
% 181.17/181.17     inference(rename_variables,[],[3549])).
% 181.17/181.17  cnf(3619,plain,
% 181.17/181.17     (P3(x36191,f12(f13(f10(x36191))))),
% 181.17/181.17     inference(rename_variables,[],[3549])).
% 181.17/181.17  cnf(3626,plain,
% 181.17/181.17     (P3(x36261,f12(f13(f10(x36261))))),
% 181.17/181.17     inference(rename_variables,[],[3549])).
% 181.17/181.17  cnf(3631,plain,
% 181.17/181.17     (P3(x36311,f12(f13(f10(x36311))))),
% 181.17/181.17     inference(rename_variables,[],[3549])).
% 181.17/181.17  cnf(3644,plain,
% 181.17/181.17     (P3(x36441,f12(f13(f10(x36441))))),
% 181.17/181.17     inference(rename_variables,[],[3549])).
% 181.17/181.17  cnf(3649,plain,
% 181.17/181.17     (P3(x36491,f12(f13(f10(x36491))))),
% 181.17/181.17     inference(rename_variables,[],[3549])).
% 181.17/181.17  cnf(3652,plain,
% 181.17/181.17     (P3(x36521,f12(f13(f10(x36521))))),
% 181.17/181.17     inference(rename_variables,[],[3549])).
% 181.17/181.17  cnf(3657,plain,
% 181.17/181.17     (P3(x36571,f12(f13(f10(x36571))))),
% 181.17/181.17     inference(rename_variables,[],[3549])).
% 181.17/181.17  cnf(3662,plain,
% 181.17/181.17     (P3(x36621,f12(f13(f10(x36621))))),
% 181.17/181.17     inference(rename_variables,[],[3549])).
% 181.17/181.17  cnf(3667,plain,
% 181.17/181.17     (P3(x36671,f12(f13(f10(x36671))))),
% 181.17/181.17     inference(rename_variables,[],[3549])).
% 181.17/181.17  cnf(3670,plain,
% 181.17/181.17     (P3(x36701,f12(f13(f10(x36701))))),
% 181.17/181.17     inference(rename_variables,[],[3549])).
% 181.17/181.17  cnf(3673,plain,
% 181.17/181.17     (P3(x36731,f12(f13(f10(x36731))))),
% 181.17/181.17     inference(rename_variables,[],[3549])).
% 181.17/181.17  cnf(3676,plain,
% 181.17/181.17     (P3(x36761,f12(f13(f10(x36761))))),
% 181.17/181.17     inference(rename_variables,[],[3549])).
% 181.17/181.17  cnf(3681,plain,
% 181.17/181.17     (P3(x36811,f12(f13(f10(x36811))))),
% 181.17/181.17     inference(rename_variables,[],[3549])).
% 181.17/181.17  cnf(3686,plain,
% 181.17/181.17     (P3(x36861,f3(f13(f13(x36861)),f12(f13(x36861))))),
% 181.17/181.17     inference(rename_variables,[],[3429])).
% 181.17/181.17  cnf(3689,plain,
% 181.17/181.17     (P3(x36891,f3(f13(f13(x36891)),f12(f13(x36891))))),
% 181.17/181.17     inference(rename_variables,[],[3429])).
% 181.17/181.17  cnf(3697,plain,
% 181.17/181.17     (P3(x36971,f3(f13(f13(x36971)),f12(f13(x36971))))),
% 181.17/181.17     inference(rename_variables,[],[3429])).
% 181.17/181.17  cnf(3700,plain,
% 181.17/181.17     (P3(x37001,f3(f13(f13(x37001)),f12(f13(x37001))))),
% 181.17/181.17     inference(rename_variables,[],[3429])).
% 181.17/181.17  cnf(3705,plain,
% 181.17/181.17     (P3(f13(x37051),f3(f13(f10(f10(x37051))),f12(f10(f10(x37051)))))),
% 181.17/181.17     inference(scs_inference,[],[673,1062,1995,180,577,964,878,913,1692,781,3225,897,3429,3686,3689,3697,3700,3549,3609,3614,3619,3626,3631,3644,3649,3652,3657,3662,3667,3670,3673,3676,3681,1847,1094,1083,530,3558,124,1207,682,55,2,54,6,34,37,53,33,4,5,1939,1889,1954,2843,1973,2346,2071,1971,2075,1969,1963,2440,2043,2846,1989,1976,2069,1972,1900,2649,1979,2348,1985,1888,1901,1966,1949,1934,543,1983,2073,2400,2679,1970,178,2676,2678,2305,26])).
% 181.17/181.17  cnf(3709,plain,
% 181.17/181.17     (P3(x37091,f12(f10(f13(x37091))))),
% 181.17/181.17     inference(scs_inference,[],[61,703,673,76,1062,1995,180,2101,577,964,878,913,1692,781,3225,897,3429,3686,3689,3697,3700,3549,3609,3614,3619,3626,3631,3644,3649,3652,3657,3662,3667,3670,3673,3676,3681,1847,1094,1083,530,3558,124,1207,682,55,2,54,6,34,37,53,33,4,5,1939,1889,1954,2843,1973,2346,2071,1971,2075,1969,1963,2440,2043,2846,1989,1976,2069,1972,1900,2649,1979,2348,1985,1888,1901,1966,1949,1934,543,1983,2073,2400,2679,1970,178,2676,2678,2305,26,23,56])).
% 181.17/181.17  cnf(3762,plain,
% 181.17/181.17     (~E(f10(f13(f10(f12(x37621)))),x37621)),
% 181.17/181.17     inference(scs_inference,[],[133,878,914,808,1248,3547,584,1194,655,55,2,54,6,34,37,53,33,5])).
% 181.17/181.17  cnf(3766,plain,
% 181.17/181.17     (~E(x37661,f13(f10(f12(f10(x37661)))))),
% 181.17/181.17     inference(scs_inference,[],[133,878,914,808,1248,3709,3547,1250,584,1194,655,55,2,54,6,34,37,53,33,5,1889,4])).
% 181.17/181.17  cnf(3769,plain,
% 181.17/181.17     (P3(x37691,f12(f10(f13(x37691))))),
% 181.17/181.17     inference(rename_variables,[],[3709])).
% 181.17/181.17  cnf(3774,plain,
% 181.17/181.17     (P3(x37741,f12(f10(f13(x37741))))),
% 181.17/181.17     inference(rename_variables,[],[3709])).
% 181.17/181.17  cnf(3777,plain,
% 181.17/181.17     (P3(x37771,f12(f10(f13(x37771))))),
% 181.17/181.17     inference(rename_variables,[],[3709])).
% 181.17/181.17  cnf(3788,plain,
% 181.17/181.17     (P3(x37881,f12(f10(f13(x37881))))),
% 181.17/181.17     inference(rename_variables,[],[3709])).
% 181.17/181.17  cnf(3791,plain,
% 181.17/181.17     (P3(x37911,f12(f10(f13(x37911))))),
% 181.17/181.17     inference(rename_variables,[],[3709])).
% 181.17/181.17  cnf(3794,plain,
% 181.17/181.17     (P3(x37941,f12(f10(f13(x37941))))),
% 181.17/181.17     inference(rename_variables,[],[3709])).
% 181.17/181.17  cnf(3796,plain,
% 181.17/181.17     (~P3(f13(f10(f12(f10(x37961)))),f10(f3(f13(x37961),f12(x37961))))),
% 181.17/181.17     inference(scs_inference,[],[133,878,914,874,3300,1094,1083,808,1248,3709,3769,3774,3777,3788,3791,3181,3547,1250,584,1194,655,55,2,54,6,34,37,53,33,5,1889,4,1954,2075,1939,1971,2843,1963,2649,2069,1973,1976,1985,543])).
% 181.17/181.17  cnf(3803,plain,
% 181.17/181.17     (P3(x38031,f12(f10(f13(x38031))))),
% 181.17/181.17     inference(rename_variables,[],[3709])).
% 181.17/181.17  cnf(3806,plain,
% 181.17/181.17     (P3(x38061,f12(f10(f13(x38061))))),
% 181.17/181.17     inference(rename_variables,[],[3709])).
% 181.17/181.17  cnf(3809,plain,
% 181.17/181.17     (P3(x38091,f12(f10(f13(x38091))))),
% 181.17/181.17     inference(rename_variables,[],[3709])).
% 181.17/181.17  cnf(3812,plain,
% 181.17/181.17     (P3(x38121,f12(f10(f13(x38121))))),
% 181.17/181.17     inference(rename_variables,[],[3709])).
% 181.17/181.17  cnf(3821,plain,
% 181.17/181.17     (P3(x38211,f12(f10(f13(x38211))))),
% 181.17/181.17     inference(rename_variables,[],[3709])).
% 181.17/181.17  cnf(3824,plain,
% 181.17/181.17     (P3(x38241,f12(f10(f13(x38241))))),
% 181.17/181.17     inference(rename_variables,[],[3709])).
% 181.17/181.17  cnf(3827,plain,
% 181.17/181.17     (P3(x38271,f12(f10(f13(x38271))))),
% 181.17/181.17     inference(rename_variables,[],[3709])).
% 181.17/181.17  cnf(3832,plain,
% 181.17/181.17     (P3(x38321,f12(f10(f13(x38321))))),
% 181.17/181.17     inference(rename_variables,[],[3709])).
% 181.17/181.17  cnf(3835,plain,
% 181.17/181.17     (P3(x38351,f12(f10(f13(x38351))))),
% 181.17/181.17     inference(rename_variables,[],[3709])).
% 181.17/181.17  cnf(3842,plain,
% 181.17/181.17     (P3(f3(f13(x38421),f12(x38421)),f3(f13(f13(x38421)),f12(f13(x38421))))),
% 181.17/181.17     inference(scs_inference,[],[673,578,1692,133,878,914,874,3300,1094,1083,808,3429,1248,3709,3769,3774,3777,3788,3791,3794,3803,3806,3809,3812,3821,3824,3827,3832,3835,3181,3593,3547,1250,584,1194,655,55,2,54,6,34,37,53,33,5,1889,4,1954,2075,1939,1971,2843,1963,2649,2069,1973,1976,1985,543,2071,2440,1969,1979,1900,1901,1888,2846,1989,1972,1934,1949,2348,1970,1983,178,1966,26])).
% 181.17/181.17  cnf(3843,plain,
% 181.17/181.17     (E(x38431,f3(f13(x38431),f12(x38431)))),
% 181.17/181.17     inference(rename_variables,[],[673])).
% 181.17/181.17  cnf(3846,plain,
% 181.17/181.17     (P3(f6(f10(a2),a2),f12(f10(a2)))),
% 181.17/181.17     inference(scs_inference,[],[673,76,578,2353,1692,133,878,2018,914,2470,874,3300,1094,1083,808,3429,1248,3709,3769,3774,3777,3788,3791,3794,3803,3806,3809,3812,3821,3824,3827,3832,3835,3181,3593,3547,1250,584,1194,655,55,2,54,6,34,37,53,33,5,1889,4,1954,2075,1939,1971,2843,1963,2649,2069,1973,1976,1985,543,2071,2440,1969,1979,1900,1901,1888,2846,1989,1972,1934,1949,2348,1970,1983,178,1966,26,23,56])).
% 181.17/181.17  cnf(3849,plain,
% 181.17/181.17     (E(x38491,f3(f13(x38491),f12(x38491)))),
% 181.17/181.17     inference(rename_variables,[],[673])).
% 181.17/181.17  cnf(3873,plain,
% 181.17/181.17     (E(f3(f3(f13(x38731),f12(x38731)),x38732),f3(x38731,x38732))),
% 181.17/181.17     inference(scs_inference,[],[30,619,28,61,673,3843,3849,179,76,100,1995,578,618,2353,1692,133,878,2018,914,2470,874,3300,1094,1083,894,808,895,3429,3305,1847,1248,3709,3769,3774,3777,3788,3791,3794,3803,3806,3809,3812,3821,3824,3827,3832,3835,700,657,1087,3181,3593,3547,1250,584,1194,655,55,2,54,6,34,37,53,33,5,1889,4,1954,2075,1939,1971,2843,1963,2649,2069,1973,1976,1985,543,2071,2440,1969,1979,1900,1901,1888,2846,1989,1972,1934,1949,2348,1970,1983,178,1966,26,23,56,24,25,22,3,36,32,31,35,41,1704,1779])).
% 181.17/181.17  cnf(3875,plain,
% 181.17/181.17     (E(f12(f13(f3(f13(x38751),f12(x38751)))),f12(f13(x38751)))),
% 181.17/181.17     inference(scs_inference,[],[30,619,28,61,673,3843,3849,179,76,100,1995,578,618,2353,1692,133,878,2018,914,2470,874,3300,1094,1083,894,808,895,3429,3305,1847,1248,3709,3769,3774,3777,3788,3791,3794,3803,3806,3809,3812,3821,3824,3827,3832,3835,700,657,1087,3181,3593,3547,1250,584,1194,655,55,2,54,6,34,37,53,33,5,1889,4,1954,2075,1939,1971,2843,1963,2649,2069,1973,1976,1985,543,2071,2440,1969,1979,1900,1901,1888,2846,1989,1972,1934,1949,2348,1970,1983,178,1966,26,23,56,24,25,22,3,36,32,31,35,41,1704,1779,1837])).
% 181.17/181.17  cnf(3898,plain,
% 181.17/181.17     (~P3(f12(f10(f10(x38981))),x38981)),
% 181.17/181.17     inference(scs_inference,[],[874,3300,811,3605,3427,55,2,54,6,34])).
% 181.17/181.17  cnf(3906,plain,
% 181.17/181.17     (~E(x39061,f10(f10(f10(f12(x39061)))))),
% 181.17/181.17     inference(scs_inference,[],[435,874,3300,811,3605,3162,3427,539,697,55,2,54,6,34,37,53,33,5])).
% 181.17/181.17  cnf(3932,plain,
% 181.17/181.17     (P2(f13(x39321),f7(f10(f13(x39321)),f12(f10(f13(x39321))),x39321))),
% 181.17/181.17     inference(scs_inference,[],[435,1083,874,3300,3709,811,3181,3846,3842,1116,1819,3605,3162,3762,3427,539,697,55,2,54,6,34,37,53,33,5,4,1889,2075,2071,1963,2440,2843,2069,543,2043,2846,2649,1888])).
% 181.17/181.17  cnf(3939,plain,
% 181.17/181.17     (E(f12(f13(f3(f13(x39391),f12(x39391)))),f12(f13(x39391)))),
% 181.17/181.17     inference(rename_variables,[],[3875])).
% 181.17/181.17  cnf(3942,plain,
% 181.17/181.17     (E(f12(f13(f3(f13(x39421),f12(x39421)))),f12(f13(x39421)))),
% 181.17/181.17     inference(rename_variables,[],[3875])).
% 181.17/181.17  cnf(3947,plain,
% 181.17/181.17     (P3(f8(f10(a2),a2),f3(f13(f10(a2)),f12(f10(a2))))),
% 181.17/181.17     inference(scs_inference,[],[673,2353,435,1083,874,3300,3709,811,3181,3846,3842,3875,3939,3942,1116,1819,3605,3162,3762,3427,539,697,55,2,54,6,34,37,53,33,5,4,1889,2075,2071,1963,2440,2843,2069,543,2043,2846,2649,1888,178,2073,2754,2756,2745,26])).
% 181.17/181.17  cnf(3948,plain,
% 181.17/181.17     (E(x39481,f3(f13(x39481),f12(x39481)))),
% 181.17/181.17     inference(rename_variables,[],[673])).
% 181.17/181.17  cnf(3955,plain,
% 181.17/181.17     (E(x39551,f3(f13(x39551),f12(x39551)))),
% 181.17/181.17     inference(rename_variables,[],[673])).
% 181.17/181.17  cnf(3960,plain,
% 181.17/181.17     (~E(f10(f13(f10(f3(f13(a9),f13(a1))))),f10(a9))),
% 181.17/181.17     inference(scs_inference,[],[61,673,3948,3955,76,100,2353,912,575,435,1083,728,874,3300,895,3709,811,2027,3181,3846,3842,3873,3875,3939,3942,1116,1819,3605,3162,3762,3427,539,697,55,2,54,6,34,37,53,33,5,4,1889,2075,2071,1963,2440,2843,2069,543,2043,2846,2649,1888,178,2073,2754,2756,2745,26,23,56,24,25,22,3])).
% 181.17/181.17  cnf(3991,plain,
% 181.17/181.17     (~P2(f13(f10(f12(f10(x39911)))),f3(f13(x39911),f12(x39911)))),
% 181.17/181.17     inference(scs_inference,[],[1094,831,3796,55,2,54])).
% 181.17/181.17  cnf(4012,plain,
% 181.17/181.17     (P2(f13(f6(f10(a2),a2)),f7(f10(a2),f12(f10(a2)),f6(f10(a2),a2)))),
% 181.17/181.17     inference(scs_inference,[],[553,3709,1094,831,3846,1116,3947,941,3960,1254,3796,1188,688,55,2,54,6,34,37,53,33,4,2075,2440,1963,2843,1888])).
% 181.17/181.17  cnf(4030,plain,
% 181.17/181.17     (P3(f3(f13(x40301),f12(x40301)),f3(f13(f10(x40301)),f12(f10(x40301))))),
% 181.17/181.17     inference(scs_inference,[],[673,1095,3300,553,3709,1094,831,3846,1116,1819,3947,941,3960,1254,3796,1188,688,55,2,54,6,34,37,53,33,4,2075,2440,1963,2843,1888,543,178,2846,2346,2542,2348,2791,2544,26])).
% 181.17/181.17  cnf(4102,plain,
% 181.17/181.17     (~P3(f13(f10(f12(f10(a9)))),f10(f3(f13(a9),f13(a1))))),
% 181.17/181.17     inference(scs_inference,[],[398,3305,3846,1116,941,834,3593,3549,4030,943,3766,3906,3898,4012,3991,55,2,54,6,34,37,53,33,4,2075,2440,1963,2843,2846,178,543])).
% 181.17/181.17  cnf(4159,plain,
% 181.17/181.17     (E(f10(f7(a9,x41591,x41592)),f10(f7(f3(f13(a9),f13(a1)),x41591,x41592)))),
% 181.17/181.17     inference(scs_inference,[],[941,947,55,2])).
% 181.17/181.17  cnf(4234,plain,
% 181.17/181.17     (E(f10(f7(x42341,x42342,a9)),f10(f7(x42341,x42342,f3(f13(a9),f13(a1)))))),
% 181.17/181.17     inference(scs_inference,[],[943,1157,55,2])).
% 181.17/181.17  cnf(4306,plain,
% 181.17/181.17     (E(f10(f7(x43061,a9,x43062)),f10(f7(x43061,f3(f13(a9),f13(a1)),x43062)))),
% 181.17/181.17     inference(scs_inference,[],[986,1183,55,2])).
% 181.17/181.17  cnf(4467,plain,
% 181.17/181.17     (P2(f8(f10(a2),a2),f3(f13(a2),f12(a2)))),
% 181.17/181.17     inference(scs_inference,[],[619,673,3709,514,4159,700,745,4234,2356,4030,4306,3705,4102,3932,698,55,2,54,34,37,53,33,2075,2843,2440,2846,25,24])).
% 181.17/181.17  cnf(5920,plain,
% 181.17/181.17     (~P3(f6(f10(a2),a2),f3(f13(a2),f12(a2)))),
% 181.17/181.17     inference(scs_inference,[],[28,2006,2467,930,674,1995,61,36,37,33,35,26])).
% 181.17/181.17  cnf(5962,plain,
% 181.17/181.17     ($false),
% 181.17/181.17     inference(scs_inference,[],[28,1275,2354,2029,4467,5920,2470,936,1995,464,36,37,35,32,2,39]),
% 181.17/181.17     ['proof']).
% 181.17/181.17  % SZS output end Proof
% 181.17/181.17  % Total time :180.480000s
%------------------------------------------------------------------------------