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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SEU125+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n021.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 15:01:10 EDT 2024

% Result   : Theorem 221.95s 222.04s
% Output   : CNFRefutation 222.01s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SEU125+1 : TPTP v8.2.0. Released v3.3.0.
% 0.08/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri Jun 21 14:56:54 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.20/0.59  start to proof:theBenchmark
% 221.95/222.02  %-------------------------------------------
% 221.95/222.02  % File        :CSE---1.7
% 221.95/222.02  % Problem     :theBenchmark
% 221.95/222.02  % Transform   :cnf
% 221.95/222.02  % Format      :tptp:raw
% 221.95/222.02  % Command     :java -jar mcs_scs.jar %d %s
% 221.95/222.02  
% 221.95/222.02  % Result      :Theorem 221.270000s
% 221.95/222.02  % Output      :CNFRefutation 221.270000s
% 221.95/222.02  %-------------------------------------------
% 221.95/222.04  %------------------------------------------------------------------------------
% 221.95/222.04  % File     : SEU125+1 : TPTP v8.2.0. Released v3.3.0.
% 221.95/222.04  % Domain   : Set theory
% 221.95/222.04  % Problem  : MPTP bushy problem t8_xboole_1
% 221.95/222.04  % Version  : [Urb07] axioms : Especial.
% 221.95/222.04  % English  :
% 221.95/222.04  
% 221.95/222.04  % Refs     : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 221.95/222.04  %          : [Urb07] Urban (2006), Email to G. Sutcliffe
% 221.95/222.04  % Source   : [Urb07]
% 221.95/222.04  % Names    : bushy-t8_xboole_1 [Urb07]
% 221.95/222.04  
% 221.95/222.04  % Status   : Theorem
% 221.95/222.04  % Rating   : 0.25 v8.2.0, 0.28 v7.4.0, 0.17 v7.3.0, 0.21 v7.2.0, 0.17 v7.0.0, 0.13 v6.4.0, 0.19 v6.3.0, 0.17 v6.2.0, 0.32 v6.1.0, 0.40 v6.0.0, 0.30 v5.5.0, 0.41 v5.4.0, 0.46 v5.3.0, 0.52 v5.2.0, 0.30 v5.1.0, 0.33 v5.0.0, 0.38 v4.1.0, 0.39 v4.0.0, 0.42 v3.7.0, 0.40 v3.5.0, 0.42 v3.3.0
% 221.95/222.04  % Syntax   : Number of formulae    :   18 (   9 unt;   0 def)
% 221.95/222.04  %            Number of atoms       :   32 (   6 equ)
% 221.95/222.04  %            Maximal formula atoms :    4 (   1 avg)
% 221.95/222.04  %            Number of connectives :   23 (   9   ~;   1   |;   4   &)
% 221.95/222.04  %                                         (   3 <=>;   6  =>;   0  <=;   0 <~>)
% 221.95/222.04  %            Maximal formula depth :    8 (   4 avg)
% 221.95/222.04  %            Maximal term depth    :    2 (   1 avg)
% 221.95/222.04  %            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
% 221.95/222.04  %            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
% 221.95/222.04  %            Number of variables   :   30 (  28   !;   2   ?)
% 221.95/222.04  % SPC      : FOF_THM_RFO_SEQ
% 221.95/222.04  
% 221.95/222.04  % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 221.95/222.04  %            library, www.mizar.org
% 221.95/222.04  %------------------------------------------------------------------------------
% 221.95/222.04  fof(antisymmetry_r2_hidden,axiom,
% 221.95/222.04      ! [A,B] :
% 221.95/222.04        ( in(A,B)
% 221.95/222.04       => ~ in(B,A) ) ).
% 221.95/222.04  
% 221.95/222.04  fof(commutativity_k2_xboole_0,axiom,
% 221.95/222.04      ! [A,B] : set_union2(A,B) = set_union2(B,A) ).
% 221.95/222.04  
% 221.95/222.04  fof(d2_xboole_0,axiom,
% 221.95/222.04      ! [A,B,C] :
% 221.95/222.04        ( C = set_union2(A,B)
% 221.95/222.04      <=> ! [D] :
% 221.95/222.04            ( in(D,C)
% 221.95/222.04          <=> ( in(D,A)
% 221.95/222.04              | in(D,B) ) ) ) ).
% 221.95/222.04  
% 221.95/222.04  fof(d3_tarski,axiom,
% 221.95/222.04      ! [A,B] :
% 221.95/222.04        ( subset(A,B)
% 221.95/222.04      <=> ! [C] :
% 221.95/222.04            ( in(C,A)
% 221.95/222.04           => in(C,B) ) ) ).
% 221.95/222.04  
% 221.95/222.04  fof(dt_k1_xboole_0,axiom,
% 221.95/222.04      $true ).
% 221.95/222.04  
% 221.95/222.04  fof(dt_k2_xboole_0,axiom,
% 221.95/222.04      $true ).
% 221.95/222.04  
% 221.95/222.04  fof(fc1_xboole_0,axiom,
% 221.95/222.04      empty(empty_set) ).
% 221.95/222.04  
% 221.95/222.04  fof(fc2_xboole_0,axiom,
% 221.95/222.04      ! [A,B] :
% 221.95/222.04        ( ~ empty(A)
% 221.95/222.04       => ~ empty(set_union2(A,B)) ) ).
% 221.95/222.04  
% 221.95/222.04  fof(fc3_xboole_0,axiom,
% 221.95/222.04      ! [A,B] :
% 221.95/222.04        ( ~ empty(A)
% 221.95/222.04       => ~ empty(set_union2(B,A)) ) ).
% 221.95/222.04  
% 221.95/222.04  fof(idempotence_k2_xboole_0,axiom,
% 221.95/222.04      ! [A,B] : set_union2(A,A) = A ).
% 221.95/222.04  
% 221.95/222.04  fof(rc1_xboole_0,axiom,
% 221.95/222.04      ? [A] : empty(A) ).
% 221.95/222.04  
% 221.95/222.04  fof(rc2_xboole_0,axiom,
% 221.95/222.04      ? [A] : ~ empty(A) ).
% 221.95/222.04  
% 221.95/222.04  fof(reflexivity_r1_tarski,axiom,
% 221.95/222.04      ! [A,B] : subset(A,A) ).
% 221.95/222.04  
% 221.95/222.04  fof(t1_boole,axiom,
% 221.95/222.04      ! [A] : set_union2(A,empty_set) = A ).
% 221.95/222.04  
% 221.95/222.04  fof(t6_boole,axiom,
% 221.95/222.04      ! [A] :
% 221.95/222.04        ( empty(A)
% 221.95/222.04       => A = empty_set ) ).
% 221.95/222.04  
% 221.95/222.04  fof(t7_boole,axiom,
% 221.95/222.04      ! [A,B] :
% 221.95/222.04        ~ ( in(A,B)
% 221.95/222.04          & empty(B) ) ).
% 221.95/222.04  
% 221.95/222.04  fof(t8_boole,axiom,
% 221.95/222.04      ! [A,B] :
% 221.95/222.04        ~ ( empty(A)
% 221.95/222.04          & A != B
% 221.95/222.04          & empty(B) ) ).
% 221.95/222.04  
% 221.95/222.04  fof(t8_xboole_1,conjecture,
% 221.95/222.04      ! [A,B,C] :
% 221.95/222.04        ( ( subset(A,B)
% 221.95/222.04          & subset(C,B) )
% 221.95/222.04       => subset(set_union2(A,C),B) ) ).
% 221.95/222.04  
% 221.95/222.04  %------------------------------------------------------------------------------
% 221.95/222.04  %-------------------------------------------
% 221.95/222.04  % Proof found
% 221.95/222.04  % SZS status Theorem for theBenchmark
% 221.95/222.04  % SZS output start Proof
% 222.01/222.06  %ClaNum:40(EqnAxiom:15)
% 222.01/222.06  %VarNum:106(SingletonVarNum:44)
% 222.01/222.06  %MaxLitNum:4
% 222.01/222.06  %MaxfuncDepth:1
% 222.01/222.06  %SharedTerms:13
% 222.01/222.06  %goalClause: 18 19 25
% 222.01/222.06  %singleGoalClaCount:3
% 222.01/222.06  [16]P1(a1)
% 222.01/222.06  [17]P1(a2)
% 222.01/222.06  [18]P2(a5,a7)
% 222.01/222.06  [19]P2(a8,a7)
% 222.01/222.06  [24]~P1(a6)
% 222.01/222.06  [25]~P2(f9(a5,a8),a7)
% 222.01/222.06  [21]P2(x211,x211)
% 222.01/222.06  [20]E(f9(x201,a1),x201)
% 222.01/222.06  [22]E(f9(x221,x221),x221)
% 222.01/222.06  [23]E(f9(x231,x232),f9(x232,x231))
% 222.01/222.06  [26]~P1(x261)+E(x261,a1)
% 222.01/222.06  [28]~P1(x281)+~P3(x282,x281)
% 222.01/222.06  [29]~P3(x292,x291)+~P3(x291,x292)
% 222.01/222.06  [30]P1(x301)+~P1(f9(x302,x301))
% 222.01/222.06  [31]P1(x311)+~P1(f9(x311,x312))
% 222.01/222.06  [32]P2(x321,x322)+P3(f3(x321,x322),x321)
% 222.01/222.06  [37]P2(x371,x372)+~P3(f3(x371,x372),x372)
% 222.01/222.06  [27]~P1(x272)+~P1(x271)+E(x271,x272)
% 222.01/222.06  [33]~P2(x333,x332)+P3(x331,x332)+~P3(x331,x333)
% 222.01/222.06  [39]~P3(f4(x392,x393,x391),x391)+~P3(f4(x392,x393,x391),x393)+E(x391,f9(x392,x393))
% 222.01/222.06  [40]~P3(f4(x402,x403,x401),x401)+~P3(f4(x402,x403,x401),x402)+E(x401,f9(x402,x403))
% 222.01/222.06  [34]~P3(x341,x344)+P3(x341,x342)+~E(x342,f9(x343,x344))
% 222.01/222.06  [35]~P3(x351,x353)+P3(x351,x352)+~E(x352,f9(x353,x354))
% 222.01/222.06  [38]P3(f4(x382,x383,x381),x381)+P3(f4(x382,x383,x381),x383)+P3(f4(x382,x383,x381),x382)+E(x381,f9(x382,x383))
% 222.01/222.06  [36]~P3(x361,x364)+P3(x361,x362)+P3(x361,x363)+~E(x364,f9(x363,x362))
% 222.01/222.06  %EqnAxiom
% 222.01/222.06  [1]E(x11,x11)
% 222.01/222.06  [2]E(x22,x21)+~E(x21,x22)
% 222.01/222.06  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 222.01/222.06  [4]~E(x41,x42)+E(f9(x41,x43),f9(x42,x43))
% 222.01/222.06  [5]~E(x51,x52)+E(f9(x53,x51),f9(x53,x52))
% 222.01/222.06  [6]~E(x61,x62)+E(f4(x61,x63,x64),f4(x62,x63,x64))
% 222.01/222.06  [7]~E(x71,x72)+E(f4(x73,x71,x74),f4(x73,x72,x74))
% 222.01/222.06  [8]~E(x81,x82)+E(f4(x83,x84,x81),f4(x83,x84,x82))
% 222.01/222.06  [9]~E(x91,x92)+E(f3(x91,x93),f3(x92,x93))
% 222.01/222.06  [10]~E(x101,x102)+E(f3(x103,x101),f3(x103,x102))
% 222.01/222.06  [11]~P1(x111)+P1(x112)+~E(x111,x112)
% 222.01/222.06  [12]P3(x122,x123)+~E(x121,x122)+~P3(x121,x123)
% 222.01/222.06  [13]P3(x133,x132)+~E(x131,x132)+~P3(x133,x131)
% 222.01/222.06  [14]P2(x142,x143)+~E(x141,x142)+~P2(x141,x143)
% 222.01/222.06  [15]P2(x153,x152)+~E(x151,x152)+~P2(x153,x151)
% 222.01/222.06  
% 222.01/222.06  %-------------------------------------------
% 222.01/222.09  cnf(41,plain,
% 222.01/222.09     (~P3(x411,x412)+P3(x411,f9(x413,x412))),
% 222.01/222.09     inference(equality_inference,[],[34])).
% 222.01/222.09  cnf(42,plain,
% 222.01/222.09     (~P3(x421,x422)+P3(x421,f9(x422,x423))),
% 222.01/222.09     inference(equality_inference,[],[35])).
% 222.01/222.09  cnf(43,plain,
% 222.01/222.09     (~P3(x431,f9(x432,x433))+P3(x431,x433)+P3(x431,x432)),
% 222.01/222.09     inference(equality_inference,[],[36])).
% 222.01/222.09  cnf(44,plain,
% 222.01/222.09     (~P3(x441,a1)),
% 222.01/222.10     inference(scs_inference,[],[16,28])).
% 222.01/222.10  cnf(46,plain,
% 222.01/222.10     (E(x461,f9(x461,x461))),
% 222.01/222.10     inference(scs_inference,[],[22,16,28,2])).
% 222.01/222.10  cnf(47,plain,
% 222.01/222.10     (~E(a5,f9(a5,a8))),
% 222.01/222.10     inference(scs_inference,[],[18,25,22,16,28,2,14])).
% 222.01/222.10  cnf(48,plain,
% 222.01/222.10     (P2(a5,f9(a7,a7))),
% 222.01/222.10     inference(scs_inference,[],[18,25,22,16,28,2,14,15])).
% 222.01/222.10  cnf(49,plain,
% 222.01/222.10     (~P3(f4(a5,a8,a5),a5)),
% 222.01/222.10     inference(scs_inference,[],[18,25,22,16,28,2,14,15,40])).
% 222.01/222.10  cnf(51,plain,
% 222.01/222.10     (~P3(x511,f9(a1,a1))),
% 222.01/222.10     inference(scs_inference,[],[18,25,22,16,28,2,14,15,40,43])).
% 222.01/222.10  cnf(53,plain,
% 222.01/222.10     (~E(a5,f9(a8,a5))),
% 222.01/222.10     inference(scs_inference,[],[18,25,22,23,16,28,2,14,15,40,43,3])).
% 222.01/222.10  cnf(56,plain,
% 222.01/222.10     (E(f9(x561,a1),x561)),
% 222.01/222.10     inference(rename_variables,[],[20])).
% 222.01/222.10  cnf(57,plain,
% 222.01/222.10     (~P3(x571,f9(f9(a1,a1),a1))),
% 222.01/222.10     inference(scs_inference,[],[18,25,22,23,20,56,16,24,28,2,14,15,40,43,3,11,36])).
% 222.01/222.10  cnf(58,plain,
% 222.01/222.10     (E(f9(x581,a1),x581)),
% 222.01/222.10     inference(rename_variables,[],[20])).
% 222.01/222.10  cnf(60,plain,
% 222.01/222.10     (P3(f4(a5,a8,a5),a8)),
% 222.01/222.10     inference(scs_inference,[],[18,25,22,23,20,56,16,24,28,2,14,15,40,43,3,11,36,38])).
% 222.01/222.10  cnf(62,plain,
% 222.01/222.10     (P2(a1,x621)),
% 222.01/222.10     inference(scs_inference,[],[18,25,22,23,20,56,16,24,28,2,14,15,40,43,3,11,36,38,32])).
% 222.01/222.10  cnf(64,plain,
% 222.01/222.10     (~P3(a8,f4(a5,a8,a5))),
% 222.01/222.10     inference(scs_inference,[],[18,25,22,23,20,56,16,24,28,2,14,15,40,43,3,11,36,38,32,29])).
% 222.01/222.10  cnf(66,plain,
% 222.01/222.10     (P3(f4(a5,a8,a5),f9(x661,a8))),
% 222.01/222.10     inference(scs_inference,[],[18,25,22,23,20,56,16,24,28,2,14,15,40,43,3,11,36,38,32,29,41])).
% 222.01/222.10  cnf(68,plain,
% 222.01/222.10     (P3(f4(a5,a8,a5),f9(a8,x681))),
% 222.01/222.10     inference(scs_inference,[],[18,25,22,23,20,56,16,24,28,2,14,15,40,43,3,11,36,38,32,29,41,42])).
% 222.01/222.10  cnf(70,plain,
% 222.01/222.10     (P3(f4(a5,a8,a5),a7)),
% 222.01/222.10     inference(scs_inference,[],[18,19,25,22,23,20,56,16,24,28,2,14,15,40,43,3,11,36,38,32,29,41,42,33])).
% 222.01/222.10  cnf(75,plain,
% 222.01/222.10     (E(f9(x751,a1),x751)),
% 222.01/222.10     inference(rename_variables,[],[20])).
% 222.01/222.10  cnf(80,plain,
% 222.01/222.10     (~P3(f4(a8,a5,a5),a5)),
% 222.01/222.10     inference(scs_inference,[],[18,19,25,22,23,20,56,58,75,16,24,28,2,14,15,40,43,3,11,36,38,32,29,41,42,33,27,34,35,39])).
% 222.01/222.10  cnf(83,plain,
% 222.01/222.10     (P3(x831,a8)+~E(f4(a5,a8,a5),x831)),
% 222.01/222.10     inference(scs_inference,[],[18,19,25,22,23,20,56,58,75,16,24,28,2,14,15,40,43,3,11,36,38,32,29,41,42,33,27,34,35,39,13,12])).
% 222.01/222.10  cnf(85,plain,
% 222.01/222.10     (P3(f4(a5,a8,a5),f9(x851,a7))),
% 222.01/222.10     inference(scs_inference,[],[70,41])).
% 222.01/222.10  cnf(89,plain,
% 222.01/222.10     (P2(f9(a1,a1),x891)),
% 222.01/222.10     inference(scs_inference,[],[70,51,41,29,32])).
% 222.01/222.10  cnf(92,plain,
% 222.01/222.10     (~P3(x921,a2)),
% 222.01/222.10     inference(scs_inference,[],[70,51,17,41,29,32,28])).
% 222.01/222.10  cnf(94,plain,
% 222.01/222.10     (P3(f4(a5,a8,a5),f9(a7,x941))),
% 222.01/222.10     inference(scs_inference,[],[70,51,17,41,29,32,28,42])).
% 222.01/222.10  cnf(96,plain,
% 222.01/222.10     (E(x961,f9(x961,a1))),
% 222.01/222.10     inference(scs_inference,[],[70,51,20,17,41,29,32,28,42,2])).
% 222.01/222.10  cnf(97,plain,
% 222.01/222.10     (P3(f4(a5,a8,a5),f9(f9(x971,a7),f9(x971,a7)))),
% 222.01/222.10     inference(scs_inference,[],[70,51,22,20,17,41,29,32,28,42,2,34])).
% 222.01/222.10  cnf(98,plain,
% 222.01/222.10     (E(f9(x981,x981),x981)),
% 222.01/222.10     inference(rename_variables,[],[22])).
% 222.01/222.10  cnf(100,plain,
% 222.01/222.10     (~P3(f4(a5,a8,a5),f9(a5,a5))),
% 222.01/222.10     inference(scs_inference,[],[70,51,49,22,20,17,41,29,32,28,42,2,34,43])).
% 222.01/222.10  cnf(102,plain,
% 222.01/222.10     (P3(f4(a5,a8,a5),f9(f9(a7,x1021),f9(a7,x1021)))),
% 222.01/222.10     inference(scs_inference,[],[70,51,49,22,98,20,17,41,29,32,28,42,2,34,43,35])).
% 222.01/222.10  cnf(103,plain,
% 222.01/222.10     (E(f9(x1031,x1031),x1031)),
% 222.01/222.10     inference(rename_variables,[],[22])).
% 222.01/222.10  cnf(105,plain,
% 222.01/222.10     (P3(f9(f4(a5,a8,a5),f4(a5,a8,a5)),a7)),
% 222.01/222.10     inference(scs_inference,[],[70,46,51,49,22,98,20,17,41,29,32,28,42,2,34,43,35,12])).
% 222.01/222.10  cnf(106,plain,
% 222.01/222.10     (E(x1061,f9(x1061,x1061))),
% 222.01/222.10     inference(rename_variables,[],[46])).
% 222.01/222.10  cnf(107,plain,
% 222.01/222.10     (P1(f9(a1,a1))),
% 222.01/222.10     inference(scs_inference,[],[70,46,106,51,49,22,98,20,16,17,41,29,32,28,42,2,34,43,35,12,11])).
% 222.01/222.10  cnf(108,plain,
% 222.01/222.10     (E(x1081,f9(x1081,x1081))),
% 222.01/222.10     inference(rename_variables,[],[46])).
% 222.01/222.10  cnf(109,plain,
% 222.01/222.10     (~E(a7,f9(f9(a1,a1),a1))),
% 222.01/222.10     inference(scs_inference,[],[70,46,106,57,51,49,22,98,20,16,17,41,29,32,28,42,2,34,43,35,12,11,13])).
% 222.01/222.10  cnf(113,plain,
% 222.01/222.10     (P2(a8,f9(a7,a7))),
% 222.01/222.10     inference(scs_inference,[],[19,70,47,46,106,108,57,51,49,22,98,103,20,16,17,41,29,32,28,42,2,34,43,35,12,11,13,3,15])).
% 222.01/222.10  cnf(115,plain,
% 222.01/222.10     (~E(a8,f9(a5,a8))),
% 222.01/222.10     inference(scs_inference,[],[19,25,70,47,46,106,108,57,51,49,22,98,103,20,16,17,41,29,32,28,42,2,34,43,35,12,11,13,3,15,14])).
% 222.01/222.10  cnf(116,plain,
% 222.01/222.10     (P3(f4(a8,a5,a5),a8)),
% 222.01/222.10     inference(scs_inference,[],[19,25,70,47,46,106,108,57,51,49,53,80,22,98,103,20,16,17,41,29,32,28,42,2,34,43,35,12,11,13,3,15,14,38])).
% 222.01/222.10  cnf(120,plain,
% 222.01/222.10     (P3(f4(a8,a5,a5),a7)),
% 222.01/222.10     inference(scs_inference,[],[19,25,70,47,46,106,108,57,51,49,53,80,22,98,103,20,16,17,41,29,32,28,42,2,34,43,35,12,11,13,3,15,14,38,27,33])).
% 222.01/222.10  cnf(122,plain,
% 222.01/222.10     (~P3(f4(a5,a8,a8),a8)),
% 222.01/222.10     inference(scs_inference,[],[19,25,70,47,46,106,108,57,51,49,53,80,22,98,103,20,16,17,41,29,32,28,42,2,34,43,35,12,11,13,3,15,14,38,27,33,39])).
% 222.01/222.10  cnf(128,plain,
% 222.01/222.10     (P3(f4(a8,a5,a5),f9(x1281,a7))),
% 222.01/222.10     inference(scs_inference,[],[120,41])).
% 222.01/222.10  cnf(130,plain,
% 222.01/222.10     (P2(a2,x1301)),
% 222.01/222.10     inference(scs_inference,[],[120,92,41,32])).
% 222.01/222.10  cnf(133,plain,
% 222.01/222.10     (~P3(a7,f4(a8,a5,a5))),
% 222.01/222.10     inference(scs_inference,[],[120,92,41,32,29])).
% 222.01/222.10  cnf(135,plain,
% 222.01/222.10     (P3(f4(a8,a5,a5),f9(a7,x1351))),
% 222.01/222.10     inference(scs_inference,[],[120,92,41,32,29,42])).
% 222.01/222.10  cnf(138,plain,
% 222.01/222.10     (E(f9(x1381,a1),x1381)),
% 222.01/222.10     inference(rename_variables,[],[20])).
% 222.01/222.10  cnf(143,plain,
% 222.01/222.10     (E(f9(x1431,a1),x1431)),
% 222.01/222.10     inference(rename_variables,[],[20])).
% 222.01/222.10  cnf(145,plain,
% 222.01/222.10     (P3(f9(f4(a8,a5,a5),a1),a7)),
% 222.01/222.10     inference(scs_inference,[],[120,20,138,96,100,92,41,32,29,42,34,43,35,12])).
% 222.01/222.10  cnf(146,plain,
% 222.01/222.10     (E(x1461,f9(x1461,a1))),
% 222.01/222.10     inference(rename_variables,[],[96])).
% 222.01/222.10  cnf(151,plain,
% 222.01/222.10     (P2(a5,f9(a7,a1))),
% 222.01/222.10     inference(scs_inference,[],[18,47,120,20,138,143,96,146,100,44,92,41,32,29,42,34,43,35,12,3,13,15])).
% 222.01/222.10  cnf(153,plain,
% 222.01/222.10     (~E(a7,f9(a5,a8))),
% 222.01/222.10     inference(scs_inference,[],[18,25,47,21,120,20,138,143,96,146,100,44,92,41,32,29,42,34,43,35,12,3,13,15,14])).
% 222.01/222.10  cnf(155,plain,
% 222.01/222.10     (P3(f4(a5,a8,a8),a5)),
% 222.01/222.10     inference(scs_inference,[],[18,25,47,21,120,115,20,138,143,96,146,100,44,92,122,41,32,29,42,34,43,35,12,3,13,15,14,38])).
% 222.01/222.10  cnf(157,plain,
% 222.01/222.10     (~P1(a7)),
% 222.01/222.10     inference(scs_inference,[],[18,25,47,21,120,115,20,138,143,96,146,100,44,92,122,41,32,29,42,34,43,35,12,3,13,15,14,38,26])).
% 222.01/222.10  cnf(161,plain,
% 222.01/222.10     (P3(f4(a5,a8,a8),a7)),
% 222.01/222.10     inference(scs_inference,[],[18,25,47,21,120,115,20,138,143,96,146,100,44,92,122,41,32,29,42,34,43,35,12,3,13,15,14,38,26,27,33])).
% 222.01/222.10  cnf(167,plain,
% 222.01/222.10     (P3(f4(a5,a8,a8),f9(x1671,a7))),
% 222.01/222.10     inference(scs_inference,[],[161,41])).
% 222.01/222.10  cnf(169,plain,
% 222.01/222.10     (P3(f4(a5,a8,a8),f9(a7,x1691))),
% 222.01/222.10     inference(scs_inference,[],[161,41,42])).
% 222.01/222.10  cnf(171,plain,
% 222.01/222.10     (~P3(a7,f4(a5,a8,a8))),
% 222.01/222.10     inference(scs_inference,[],[161,41,42,29])).
% 222.01/222.10  cnf(173,plain,
% 222.01/222.10     (~P3(f4(a5,a8,a8),f9(a8,a8))),
% 222.01/222.10     inference(scs_inference,[],[161,122,41,42,29,43])).
% 222.01/222.10  cnf(176,plain,
% 222.01/222.10     (E(f9(x1761,x1761),x1761)),
% 222.01/222.10     inference(rename_variables,[],[22])).
% 222.01/222.10  cnf(181,plain,
% 222.01/222.10     (P3(f9(f4(a5,a8,a8),f4(a5,a8,a8)),a7)),
% 222.01/222.10     inference(scs_inference,[],[161,46,22,176,122,41,42,29,43,34,35,12])).
% 222.01/222.10  cnf(183,plain,
% 222.01/222.10     (~E(a7,a8)),
% 222.01/222.10     inference(scs_inference,[],[161,46,22,176,122,41,42,29,43,34,35,12,13])).
% 222.01/222.10  cnf(184,plain,
% 222.01/222.10     (~E(a7,f9(a1,a1))),
% 222.01/222.10     inference(scs_inference,[],[161,46,22,176,122,109,96,41,42,29,43,34,35,12,13,3])).
% 222.01/222.10  cnf(186,plain,
% 222.01/222.10     (P2(a5,f9(a1,a7))),
% 222.01/222.10     inference(scs_inference,[],[161,151,23,46,22,176,122,109,96,41,42,29,43,34,35,12,13,3,15])).
% 222.01/222.10  cnf(188,plain,
% 222.01/222.10     (~E(f9(a1,a1),f9(a5,a8))),
% 222.01/222.10     inference(scs_inference,[],[25,89,161,151,23,46,22,176,122,109,96,41,42,29,43,34,35,12,13,3,15,14])).
% 222.01/222.10  cnf(190,plain,
% 222.01/222.10     (P3(f4(f9(a1,a1),a1,a7),a7)),
% 222.01/222.10     inference(scs_inference,[],[25,89,161,151,23,46,22,176,122,109,96,51,44,41,42,29,43,34,35,12,13,3,15,14,38])).
% 222.01/222.10  cnf(198,plain,
% 222.01/222.10     (P3(f4(a8,a5,a5),f9(x1981,a8))),
% 222.01/222.10     inference(scs_inference,[],[116,41])).
% 222.01/222.10  cnf(200,plain,
% 222.01/222.10     (~P3(a8,f4(a8,a5,a5))),
% 222.01/222.10     inference(scs_inference,[],[116,41,29])).
% 222.01/222.10  cnf(202,plain,
% 222.01/222.10     (P3(f4(a8,a5,a5),f9(a8,x2021))),
% 222.01/222.10     inference(scs_inference,[],[116,41,29,42])).
% 222.01/222.10  cnf(204,plain,
% 222.01/222.10     (~P3(f4(a5,a8,a8),f9(a8,a2))),
% 222.01/222.10     inference(scs_inference,[],[116,122,92,41,29,42,43])).
% 222.01/222.10  cnf(205,plain,
% 222.01/222.10     (~P3(x2051,a2)),
% 222.01/222.10     inference(rename_variables,[],[92])).
% 222.01/222.10  cnf(210,plain,
% 222.01/222.10     (E(f9(x2101,a1),x2101)),
% 222.01/222.10     inference(rename_variables,[],[20])).
% 222.01/222.10  cnf(215,plain,
% 222.01/222.10     (P3(f9(f4(a8,a5,a5),f4(a8,a5,a5)),a7)),
% 222.01/222.10     inference(scs_inference,[],[188,70,120,20,210,46,116,122,92,107,41,29,42,43,27,34,35,12])).
% 222.01/222.10  cnf(216,plain,
% 222.01/222.10     (E(x2161,f9(x2161,x2161))),
% 222.01/222.10     inference(rename_variables,[],[46])).
% 222.01/222.10  cnf(217,plain,
% 222.01/222.10     (~E(a7,a2)),
% 222.01/222.10     inference(scs_inference,[],[188,70,120,20,210,46,116,122,92,205,107,41,29,42,43,27,34,35,12,13])).
% 222.01/222.10  cnf(219,plain,
% 222.01/222.10     (~E(f9(a5,a8),a7)),
% 222.01/222.10     inference(scs_inference,[],[25,188,21,70,120,20,210,46,116,122,92,205,107,41,29,42,43,27,34,35,12,13,15])).
% 222.01/222.10  cnf(223,plain,
% 222.01/222.10     (P3(f4(a1,a1,a7),a7)),
% 222.01/222.10     inference(scs_inference,[],[25,48,188,21,70,120,20,210,46,216,116,122,92,205,184,44,107,41,29,42,43,27,34,35,12,13,15,14,38])).
% 222.01/222.10  cnf(226,plain,
% 222.01/222.10     (P3(f4(a5,a8,a8),f9(x2261,a5))),
% 222.01/222.10     inference(scs_inference,[],[155,41])).
% 222.01/222.10  cnf(228,plain,
% 222.01/222.10     (P3(f4(a5,a8,a8),f9(a5,x2281))),
% 222.01/222.10     inference(scs_inference,[],[155,41,42])).
% 222.01/222.10  cnf(230,plain,
% 222.01/222.10     (~P3(a5,f4(a5,a8,a8))),
% 222.01/222.10     inference(scs_inference,[],[155,41,42,29])).
% 222.01/222.10  cnf(235,plain,
% 222.01/222.10     (E(f9(x2351,a1),x2351)),
% 222.01/222.10     inference(rename_variables,[],[20])).
% 222.01/222.10  cnf(241,plain,
% 222.01/222.10     (~E(a8,a2)),
% 222.01/222.10     inference(scs_inference,[],[161,20,235,60,116,155,122,92,173,41,42,29,43,34,35,12,13])).
% 222.01/222.10  cnf(243,plain,
% 222.01/222.10     (P2(f9(a8,a8),f9(a7,a7))),
% 222.01/222.10     inference(scs_inference,[],[113,161,20,235,46,60,116,155,122,92,173,41,42,29,43,34,35,12,13,14])).
% 222.01/222.10  cnf(248,plain,
% 222.01/222.10     (P3(f4(a1,a1,a7),f9(x2481,a7))),
% 222.01/222.10     inference(scs_inference,[],[223,41])).
% 222.01/222.10  cnf(252,plain,
% 222.01/222.10     (P3(f4(a1,a1,a7),f9(a7,x2521))),
% 222.01/222.10     inference(scs_inference,[],[97,223,41,29,42])).
% 222.01/222.10  cnf(255,plain,
% 222.01/222.10     (~P3(x2551,f9(a1,a1))),
% 222.01/222.10     inference(rename_variables,[],[51])).
% 222.01/222.10  cnf(257,plain,
% 222.01/222.10     (~P1(a8)),
% 222.01/222.10     inference(scs_inference,[],[122,51,97,223,241,17,41,29,42,43,27])).
% 222.01/222.10  cnf(259,plain,
% 222.01/222.10     (P3(f4(a8,a5,a5),f9(f9(a7,x2591),f9(a7,x2591)))),
% 222.01/222.10     inference(scs_inference,[],[120,22,122,51,97,223,241,17,41,29,42,43,27,35])).
% 222.01/222.10  cnf(260,plain,
% 222.01/222.10     (E(f9(x2601,x2601),x2601)),
% 222.01/222.10     inference(rename_variables,[],[22])).
% 222.01/222.10  cnf(262,plain,
% 222.01/222.10     (P3(f4(a8,a5,a5),f9(f9(x2621,a7),f9(x2621,a7)))),
% 222.01/222.10     inference(scs_inference,[],[120,22,260,122,51,97,223,241,17,41,29,42,43,27,35,34])).
% 222.01/222.10  cnf(265,plain,
% 222.01/222.10     (P3(f9(f4(a5,a8,a8),a1),a7)),
% 222.01/222.10     inference(scs_inference,[],[120,161,22,260,96,122,51,97,223,241,17,41,29,42,43,27,35,34,12])).
% 222.01/222.10  cnf(266,plain,
% 222.01/222.10     (E(x2661,f9(x2661,a1))),
% 222.01/222.10     inference(rename_variables,[],[96])).
% 222.01/222.10  cnf(269,plain,
% 222.01/222.10     (P2(a8,f9(a7,a1))),
% 222.01/222.10     inference(scs_inference,[],[19,120,161,22,260,96,266,60,122,51,255,97,223,241,17,41,29,42,43,27,35,34,12,13,15])).
% 222.01/222.10  cnf(270,plain,
% 222.01/222.10     (E(x2701,f9(x2701,a1))),
% 222.01/222.10     inference(rename_variables,[],[96])).
% 222.01/222.10  cnf(271,plain,
% 222.01/222.10     (P2(f9(a5,a1),f9(a1,a7))),
% 222.01/222.10     inference(scs_inference,[],[19,186,120,161,22,260,96,266,270,60,122,51,255,97,223,241,17,41,29,42,43,27,35,34,12,13,15,14])).
% 222.01/222.10  cnf(273,plain,
% 222.01/222.10     (P3(f4(a1,a1,a8),a8)),
% 222.01/222.10     inference(scs_inference,[],[19,186,120,161,22,260,96,266,270,60,122,51,255,44,97,223,241,17,41,29,42,43,27,35,34,12,13,15,14,38])).
% 222.01/222.10  cnf(276,plain,
% 222.01/222.10     (P3(f4(a1,a1,a8),a7)),
% 222.01/222.10     inference(scs_inference,[],[19,186,120,161,22,260,96,266,270,60,122,51,255,44,97,223,241,17,41,29,42,43,27,35,34,12,13,15,14,38,33])).
% 222.01/222.10  cnf(278,plain,
% 222.01/222.10     (P3(f4(a1,a1,a8),f9(x2781,a7))),
% 222.01/222.10     inference(scs_inference,[],[276,41])).
% 222.01/222.10  cnf(280,plain,
% 222.01/222.10     (P3(f4(a1,a1,a8),f9(a7,x2801))),
% 222.01/222.10     inference(scs_inference,[],[276,41,42])).
% 222.01/222.10  cnf(284,plain,
% 222.01/222.10     (~P3(f4(a5,a8,a8),f9(a8,a1))),
% 222.01/222.10     inference(scs_inference,[],[276,122,44,41,42,29,43])).
% 222.01/222.10  cnf(287,plain,
% 222.01/222.10     (P3(f4(a1,a1,a8),f9(f9(a7,x2871),f9(a7,x2871)))),
% 222.01/222.10     inference(scs_inference,[],[276,22,122,44,41,42,29,43,35])).
% 222.01/222.10  cnf(288,plain,
% 222.01/222.10     (E(f9(x2881,x2881),x2881)),
% 222.01/222.10     inference(rename_variables,[],[22])).
% 222.01/222.10  cnf(290,plain,
% 222.01/222.10     (P3(f4(a1,a1,a8),f9(f9(x2901,a7),f9(x2901,a7)))),
% 222.01/222.10     inference(scs_inference,[],[276,22,288,122,44,41,42,29,43,35,34])).
% 222.01/222.10  cnf(293,plain,
% 222.01/222.10     (P3(f9(f4(a1,a1,a8),a1),a7)),
% 222.01/222.10     inference(scs_inference,[],[276,22,288,96,122,44,41,42,29,43,35,34,12])).
% 222.01/222.10  cnf(295,plain,
% 222.01/222.10     (P2(f9(a5,a1),f9(a7,a1))),
% 222.01/222.10     inference(scs_inference,[],[271,276,23,22,288,96,122,44,41,42,29,43,35,34,12,15])).
% 222.01/222.10  cnf(297,plain,
% 222.01/222.10     (~E(f9(f9(a7,x2971),f9(a7,x2971)),f9(a1,a1))),
% 222.01/222.10     inference(scs_inference,[],[271,276,23,22,288,96,122,51,44,259,41,42,29,43,35,34,12,15,13])).
% 222.01/222.10  cnf(299,plain,
% 222.01/222.10     (~E(a1,f9(a5,a8))),
% 222.01/222.10     inference(scs_inference,[],[25,62,271,276,23,22,288,96,122,51,44,259,41,42,29,43,35,34,12,15,13,14])).
% 222.01/222.10  cnf(304,plain,
% 222.01/222.10     (P3(f4(a1,a1,a8),f9(x3041,a8))),
% 222.01/222.10     inference(scs_inference,[],[273,41])).
% 222.01/222.10  cnf(306,plain,
% 222.01/222.10     (~P3(a8,f4(a1,a1,a8))),
% 222.01/222.10     inference(scs_inference,[],[273,41,29])).
% 222.01/222.10  cnf(308,plain,
% 222.01/222.10     (P3(f4(a1,a1,a8),f9(a8,x3081))),
% 222.01/222.10     inference(scs_inference,[],[273,41,29,42])).
% 222.01/222.10  cnf(313,plain,
% 222.01/222.10     (E(f9(x3131,a1),x3131)),
% 222.01/222.10     inference(rename_variables,[],[20])).
% 222.01/222.10  cnf(320,plain,
% 222.01/222.10     (P3(f9(f4(a1,a1,a8),f4(a1,a1,a8)),a7)),
% 222.01/222.10     inference(scs_inference,[],[276,20,313,46,273,297,204,107,41,29,42,43,34,27,35,12])).
% 222.01/222.10  cnf(322,plain,
% 222.01/222.10     (P2(a8,f9(a1,a7))),
% 222.01/222.10     inference(scs_inference,[],[269,276,23,20,313,46,273,297,204,107,41,29,42,43,34,27,35,12,15])).
% 222.01/222.10  cnf(326,plain,
% 222.01/222.10     (~E(a2,f9(a5,a8))),
% 222.01/222.10     inference(scs_inference,[],[25,130,269,276,23,20,313,46,92,273,297,262,204,107,41,29,42,43,34,27,35,12,15,13,14])).
% 222.01/222.10  cnf(356,plain,
% 222.01/222.10     (P3(f9(f4(a5,a8,a5),f4(a5,a8,a5)),f9(x3561,a7))),
% 222.01/222.10     inference(scs_inference,[],[105,41])).
% 222.01/222.10  cnf(360,plain,
% 222.01/222.10     (P3(f9(f4(a5,a8,a5),f4(a5,a8,a5)),f9(a7,x3601))),
% 222.01/222.10     inference(scs_inference,[],[102,105,41,29,42])).
% 222.01/222.10  cnf(364,plain,
% 222.01/222.10     (P3(f9(f4(a5,a8,a5),a1),a7)),
% 222.01/222.10     inference(scs_inference,[],[70,96,171,102,105,41,29,42,43,12])).
% 222.01/222.10  cnf(374,plain,
% 222.01/222.10     (P3(f4(a8,a5,a5),f9(x3741,f9(x3742,a8)))),
% 222.01/222.10     inference(scs_inference,[],[198,41])).
% 222.01/222.10  cnf(376,plain,
% 222.01/222.10     (P3(f4(a8,a5,a5),f9(f9(x3761,a8),x3762))),
% 222.01/222.10     inference(scs_inference,[],[198,41,42])).
% 222.01/222.10  cnf(387,plain,
% 222.01/222.10     (P2(f9(a8,a8),f9(a1,a7))),
% 222.01/222.10     inference(scs_inference,[],[243,322,22,46,155,51,133,287,290,198,80,41,42,29,43,12,15,13,14])).
% 222.01/222.10  cnf(403,plain,
% 222.01/222.10     (~E(f4(a1,a1,a8),f4(a5,a8,a8))),
% 222.01/222.10     inference(scs_inference,[],[122,273,64,374,215,41,29,42,43,12])).
% 222.01/222.10  cnf(406,plain,
% 222.01/222.10     (~E(f9(x4061,f9(x4062,a8)),f9(a1,a1))),
% 222.01/222.10     inference(scs_inference,[],[387,23,122,273,51,64,374,215,41,29,42,43,12,15,13])).
% 222.01/222.10  cnf(408,plain,
% 222.01/222.10     (P2(f9(a8,a1),f9(a7,a7))),
% 222.01/222.10     inference(scs_inference,[],[113,387,23,96,122,273,51,64,374,215,41,29,42,43,12,15,13,14])).
% 222.01/222.10  cnf(411,plain,
% 222.01/222.10     (~P1(f9(x4111,a8))),
% 222.01/222.10     inference(scs_inference,[],[113,387,23,96,122,273,51,64,374,215,41,29,42,43,12,15,13,14,5,26])).
% 222.01/222.10  cnf(416,plain,
% 222.01/222.10     (P3(f9(f4(a5,a8,a8),f4(a5,a8,a8)),f9(x4161,a7))),
% 222.01/222.10     inference(scs_inference,[],[181,41])).
% 222.01/222.10  cnf(424,plain,
% 222.01/222.10     (~P1(f9(x4241,f9(x4242,a8)))),
% 222.01/222.10     inference(scs_inference,[],[200,406,376,181,107,41,42,29,43,27])).
% 222.01/222.10  cnf(428,plain,
% 222.01/222.10     (P2(f9(a8,a1),a7)),
% 222.01/222.10     inference(scs_inference,[],[408,22,46,200,406,376,181,248,107,41,42,29,43,27,12,15])).
% 222.01/222.10  cnf(430,plain,
% 222.01/222.10     (~E(f9(f9(x4301,a8),x4302),a2)),
% 222.01/222.10     inference(scs_inference,[],[408,22,46,92,200,406,376,181,248,107,41,42,29,43,27,12,15,13])).
% 222.01/222.10  cnf(452,plain,
% 222.01/222.10     (P2(f9(a5,a1),a7)),
% 222.01/222.10     inference(scs_inference,[],[295,20,96,60,44,230,320,85,430,17,41,29,42,43,27,12,13,15])).
% 222.01/222.10  cnf(464,plain,
% 222.01/222.10     (~P3(a7,f9(f4(a8,a5,a5),a1))),
% 222.01/222.10     inference(scs_inference,[],[145,41,42,29])).
% 222.01/222.10  cnf(466,plain,
% 222.01/222.10     (~P3(f4(a5,a8,a8),f9(f9(a8,a1),f9(a8,a1)))),
% 222.01/222.10     inference(scs_inference,[],[284,145,41,42,29,43])).
% 222.01/222.10  cnf(469,plain,
% 222.01/222.10     (E(x4691,f9(x4691,a1))),
% 222.01/222.10     inference(rename_variables,[],[96])).
% 222.01/222.10  cnf(475,plain,
% 222.01/222.10     (P3(f4(a1,a1,f9(a8,x4751)),f9(a8,x4751))),
% 222.01/222.10     inference(scs_inference,[],[25,428,96,469,51,44,284,145,202,94,41,42,29,43,12,15,13,14,38])).
% 222.01/222.10  cnf(480,plain,
% 222.01/222.10     (~P1(f9(a8,x4801))),
% 222.01/222.10     inference(scs_inference,[],[25,428,96,469,51,44,284,145,202,94,107,41,42,29,43,12,15,13,14,38,40,27])).
% 222.01/222.10  cnf(496,plain,
% 222.01/222.10     (~E(f9(a5,a1),f9(a5,a8))),
% 222.01/222.10     inference(scs_inference,[],[25,452,46,122,306,293,226,252,41,29,42,43,13,12,14])).
% 222.01/222.10  cnf(509,plain,
% 222.01/222.10     (~P3(f4(a8,a5,a5),f9(a5,a5))),
% 222.01/222.10     inference(scs_inference,[],[265,80,41,42,29,43])).
% 222.01/222.10  cnf(513,plain,
% 222.01/222.10     (~E(f9(a5,x5131),a8)),
% 222.01/222.10     inference(scs_inference,[],[96,122,265,228,248,80,41,42,29,43,12,13])).
% 222.01/222.10  cnf(522,plain,
% 222.01/222.10     (P3(f4(a5,a8,a8),f9(x5221,f9(x5222,a7)))),
% 222.01/222.10     inference(scs_inference,[],[167,41])).
% 222.01/222.10  cnf(526,plain,
% 222.01/222.10     (P3(f4(a5,a8,a8),f9(f9(x5261,a7),x5262))),
% 222.01/222.10     inference(scs_inference,[],[364,167,41,29,42])).
% 222.01/222.10  cnf(534,plain,
% 222.01/222.10     (~P1(f9(x5341,a7))),
% 222.01/222.10     inference(scs_inference,[],[46,92,509,364,356,167,223,17,41,29,42,43,13,12,27])).
% 222.01/222.10  cnf(554,plain,
% 222.01/222.10     (P3(f4(a8,a5,a5),f9(x5541,f9(x5542,a7)))),
% 222.01/222.10     inference(scs_inference,[],[128,41])).
% 222.01/222.10  cnf(558,plain,
% 222.01/222.10     (P3(f4(a8,a5,a5),f9(f9(x5581,a7),x5582))),
% 222.01/222.10     inference(scs_inference,[],[526,128,41,29,42])).
% 222.01/222.10  cnf(563,plain,
% 222.01/222.10     (P3(f4(a8,a5,a5),f9(x5631,f9(a7,x5632)))),
% 222.01/222.10     inference(scs_inference,[],[135,41])).
% 222.01/222.10  cnf(565,plain,
% 222.01/222.10     (P3(f4(a8,a5,a5),f9(f9(a7,x5651),x5652))),
% 222.01/222.10     inference(scs_inference,[],[135,41,42])).
% 222.01/222.10  cnf(572,plain,
% 222.01/222.10     (P3(f4(a5,a8,a5),f9(x5721,f9(a8,x5722)))),
% 222.01/222.10     inference(scs_inference,[],[68,41])).
% 222.01/222.10  cnf(581,plain,
% 222.01/222.10     (P3(f4(a1,a1,a8),f9(x5811,f9(x5812,a8)))),
% 222.01/222.10     inference(scs_inference,[],[304,41])).
% 222.01/222.10  cnf(583,plain,
% 222.01/222.10     (P3(f4(a1,a1,a8),f9(f9(x5831,a8),x5832))),
% 222.01/222.10     inference(scs_inference,[],[304,41,42])).
% 222.01/222.10  cnf(589,plain,
% 222.01/222.10     (~E(f9(x5891,f9(x5892,a7)),f9(a1,a1))),
% 222.01/222.10     inference(scs_inference,[],[153,20,51,554,304,41,42,29,3,13])).
% 222.01/222.10  cnf(607,plain,
% 222.01/222.10     (P3(f4(a1,a1,a8),f9(f9(a8,x6071),x6072))),
% 222.01/222.10     inference(scs_inference,[],[558,308,41,29,42])).
% 222.01/222.10  cnf(611,plain,
% 222.01/222.10     (~P1(f9(x6111,f9(x6112,a7)))),
% 222.01/222.10     inference(scs_inference,[],[153,23,589,558,308,107,41,29,42,3,27])).
% 222.01/222.10  cnf(615,plain,
% 222.01/222.10     (~E(f9(f9(x6151,a7),x6152),a2)),
% 222.01/222.10     inference(scs_inference,[],[153,23,92,173,589,558,308,475,107,41,29,42,3,27,12,13])).
% 222.01/222.10  cnf(622,plain,
% 222.01/222.10     (P3(f4(a5,a8,a5),f9(x6221,f9(x6222,a8)))),
% 222.01/222.10     inference(scs_inference,[],[66,41])).
% 222.01/222.10  cnf(624,plain,
% 222.01/222.10     (P3(f4(a5,a8,a5),f9(f9(x6241,a8),x6242))),
% 222.01/222.10     inference(scs_inference,[],[66,41,42])).
% 222.01/222.10  cnf(630,plain,
% 222.01/222.10     (~P1(f9(f9(x6301,a7),x6302))),
% 222.01/222.10     inference(scs_inference,[],[153,22,563,66,615,17,41,42,29,3,27])).
% 222.01/222.10  cnf(634,plain,
% 222.01/222.10     (~E(f9(x6341,f9(a7,x6342)),f9(a1,a1))),
% 222.01/222.10     inference(scs_inference,[],[153,22,51,204,563,66,615,475,17,41,42,29,3,27,12,13])).
% 222.01/222.10  cnf(636,plain,
% 222.01/222.10     (~E(f9(a7,x6361),a1)),
% 222.01/222.10     inference(scs_inference,[],[153,22,51,204,563,66,615,475,17,41,42,29,3,27,12,13,5])).
% 222.01/222.10  cnf(646,plain,
% 222.01/222.10     (~P1(f9(a7,x6461))),
% 222.01/222.10     inference(scs_inference,[],[636,26])).
% 222.01/222.10  cnf(654,plain,
% 222.01/222.10     (~P1(f9(x6541,f9(a7,x6542)))),
% 222.01/222.10     inference(scs_inference,[],[634,565,278,636,107,26,41,29,42,27])).
% 222.01/222.10  cnf(658,plain,
% 222.01/222.10     (~E(f9(f9(a7,x6581),x6582),a2)),
% 222.01/222.10     inference(scs_inference,[],[92,284,634,565,278,636,475,107,26,41,29,42,27,12,13])).
% 222.01/222.10  cnf(671,plain,
% 222.01/222.10     (~P1(f9(f9(a7,x6711),x6712))),
% 222.01/222.10     inference(scs_inference,[],[572,280,658,17,41,29,42,27])).
% 222.01/222.10  cnf(693,plain,
% 222.01/222.10     (P3(f4(a5,a8,a8),f9(x6931,f9(x6932,a5)))),
% 222.01/222.10     inference(scs_inference,[],[226,41])).
% 222.01/222.10  cnf(697,plain,
% 222.01/222.10     (P3(f4(a5,a8,a8),f9(f9(x6971,a5),x6972))),
% 222.01/222.10     inference(scs_inference,[],[581,226,41,29,42])).
% 222.01/222.10  cnf(706,plain,
% 222.01/222.10     (P3(f4(a5,a8,a8),f9(x7061,f9(a5,x7062)))),
% 222.01/222.10     inference(scs_inference,[],[228,41])).
% 222.01/222.10  cnf(710,plain,
% 222.01/222.10     (P3(f4(a5,a8,a8),f9(f9(a5,x7101),x7102))),
% 222.01/222.10     inference(scs_inference,[],[583,228,41,29,42])).
% 222.01/222.10  cnf(745,plain,
% 222.01/222.10     (~E(f9(a7,x7451),a2)),
% 222.01/222.10     inference(scs_inference,[],[92,622,360,248,41,29,42,13])).
% 222.01/222.10  cnf(784,plain,
% 222.01/222.10     (~E(f9(a7,x7841),a8)),
% 222.01/222.10     inference(scs_inference,[],[122,416,169,29,13])).
% 222.01/222.10  cnf(819,plain,
% 222.01/222.10     (E(f3(x8191,x8192),f3(f9(x8191,a1),x8192))),
% 222.01/222.10     inference(scs_inference,[],[20,9,2])).
% 222.01/222.10  cnf(820,plain,
% 222.01/222.10     (E(f3(f9(x8201,a1),x8202),f3(x8201,x8202))),
% 222.01/222.10     inference(scs_inference,[],[819,2])).
% 222.01/222.10  cnf(846,plain,
% 222.01/222.10     (P3(f4(a1,a1,f9(a7,x8461)),f9(a7,x8461))),
% 222.01/222.10     inference(scs_inference,[],[96,51,44,135,223,29,12,13,38])).
% 222.01/222.10  cnf(849,plain,
% 222.01/222.10     (~P3(f9(x8491,a8),f4(a1,a1,a8))),
% 222.01/222.10     inference(scs_inference,[],[304,29])).
% 222.01/222.10  cnf(858,plain,
% 222.01/222.10     (~P3(f9(a8,x8581),f4(a1,a1,a8))),
% 222.01/222.10     inference(scs_inference,[],[308,29])).
% 222.01/222.10  cnf(864,plain,
% 222.01/222.10     (P3(f4(a1,a1,f9(x8641,a7)),f9(x8641,a7))),
% 222.01/222.10     inference(scs_inference,[],[51,44,308,278,29,43,13,38])).
% 222.01/222.10  cnf(875,plain,
% 222.01/222.10     (~P3(f9(a7,x8751),f4(a1,a1,a8))),
% 222.01/222.10     inference(scs_inference,[],[280,29])).
% 222.01/222.10  cnf(881,plain,
% 222.01/222.10     (~P3(f9(x8811,a8),f4(a8,a5,a5))),
% 222.01/222.10     inference(scs_inference,[],[198,29])).
% 222.01/222.10  cnf(925,plain,
% 222.01/222.10     (~P3(f9(x9251,a7),f4(a1,a1,a8))),
% 222.01/222.11     inference(scs_inference,[],[278,29])).
% 222.01/222.11  cnf(928,plain,
% 222.01/222.11     (~P3(a7,f4(a1,a1,a7))),
% 222.01/222.11     inference(scs_inference,[],[223,29])).
% 222.01/222.11  cnf(931,plain,
% 222.01/222.11     (~P3(f9(x9311,a7),f4(a1,a1,a7))),
% 222.01/222.11     inference(scs_inference,[],[248,29])).
% 222.01/222.11  cnf(934,plain,
% 222.01/222.11     (~P3(f9(a7,x9341),f4(a1,a1,a7))),
% 222.01/222.11     inference(scs_inference,[],[252,29])).
% 222.01/222.11  cnf(967,plain,
% 222.01/222.11     (E(f3(x9671,x9672),f3(x9671,f9(x9672,a1)))),
% 222.01/222.11     inference(scs_inference,[],[20,10,2])).
% 222.01/222.11  cnf(968,plain,
% 222.01/222.11     (E(f3(x9681,f9(x9682,a1)),f3(x9681,x9682))),
% 222.01/222.11     inference(scs_inference,[],[967,2])).
% 222.01/222.11  cnf(1090,plain,
% 222.01/222.11     (E(f3(f9(x10901,a1),f9(x10902,a1)),f3(x10901,x10902))),
% 222.01/222.11     inference(scs_inference,[],[820,968,3])).
% 222.01/222.11  cnf(1096,plain,
% 222.01/222.11     (E(f3(x10961,x10962),f3(f9(x10961,a1),f9(x10962,a1)))),
% 222.01/222.11     inference(scs_inference,[],[1090,2])).
% 222.01/222.11  cnf(1397,plain,
% 222.01/222.11     (P3(f4(f9(a5,a8),f9(a5,a8),a1),f9(a5,a8))),
% 222.01/222.11     inference(scs_inference,[],[299,22,44,3,38])).
% 222.01/222.11  cnf(1514,plain,
% 222.01/222.11     (P1(f9(a2,a1))),
% 222.01/222.11     inference(scs_inference,[],[17,96,11])).
% 222.01/222.11  cnf(1521,plain,
% 222.01/222.11     (~P3(x15211,f9(a2,a1))),
% 222.01/222.11     inference(scs_inference,[],[17,326,22,96,92,11,3,38,28])).
% 222.01/222.11  cnf(1528,plain,
% 222.01/222.11     (P1(f9(a2,a2))),
% 222.01/222.11     inference(scs_inference,[],[17,46,11])).
% 222.01/222.11  cnf(1530,plain,
% 222.01/222.11     (~P3(f4(a5,a8,a8),f9(a8,f9(a2,a1)))),
% 222.01/222.11     inference(scs_inference,[],[17,46,122,1521,11,43])).
% 222.01/222.11  cnf(1538,plain,
% 222.01/222.11     (~P3(x15381,f9(a2,a2))),
% 222.01/222.11     inference(scs_inference,[],[17,188,22,46,122,51,1521,11,43,3,38,28])).
% 222.01/222.11  cnf(1540,plain,
% 222.01/222.11     (P2(f9(a2,a2),x15401)),
% 222.01/222.11     inference(scs_inference,[],[17,188,22,46,122,51,1521,11,43,3,38,28,32])).
% 222.01/222.11  cnf(1853,plain,
% 222.01/222.11     (~P1(f9(x18531,a6))),
% 222.01/222.11     inference(scs_inference,[],[24,30])).
% 222.01/222.11  cnf(1855,plain,
% 222.01/222.11     (~P1(f9(a6,x18551))),
% 222.01/222.11     inference(scs_inference,[],[24,30,31])).
% 222.01/222.11  cnf(1857,plain,
% 222.01/222.11     (~E(a2,f9(a7,x18571))),
% 222.01/222.11     inference(scs_inference,[],[745,24,30,31,2])).
% 222.01/222.11  cnf(1858,plain,
% 222.01/222.11     (~P1(f9(x18581,a5))),
% 222.01/222.11     inference(scs_inference,[],[745,24,226,30,31,2,28])).
% 222.01/222.11  cnf(1860,plain,
% 222.01/222.11     (E(f9(a2,a1),a1)),
% 222.01/222.11     inference(scs_inference,[],[1514,745,24,226,30,31,2,28,26])).
% 222.01/222.11  cnf(1862,plain,
% 222.01/222.11     (~E(f9(a2,a2),f9(a8,x18621))),
% 222.01/222.11     inference(scs_inference,[],[1514,745,24,1538,226,273,30,31,2,28,26,35])).
% 222.01/222.11  cnf(1863,plain,
% 222.01/222.11     (~P3(x18631,f9(a2,a2))),
% 222.01/222.11     inference(rename_variables,[],[1538])).
% 222.01/222.11  cnf(1865,plain,
% 222.01/222.11     (~P2(f9(a5,a8),f9(a7,a7))),
% 222.01/222.11     inference(scs_inference,[],[1514,745,24,1538,226,273,22,25,30,31,2,28,26,35,15])).
% 222.01/222.11  cnf(1867,plain,
% 222.01/222.11     (~E(f9(a2,a1),a7)),
% 222.01/222.11     inference(scs_inference,[],[157,1514,745,24,1538,226,273,22,25,30,31,2,28,26,35,15,11])).
% 222.01/222.11  cnf(1868,plain,
% 222.01/222.11     (~P3(x18681,f9(a1,a2))),
% 222.01/222.11     inference(scs_inference,[],[157,1514,745,24,1538,1521,226,273,23,22,25,30,31,2,28,26,35,15,11,13])).
% 222.01/222.11  cnf(1869,plain,
% 222.01/222.11     (E(f9(x18691,x18692),f9(x18692,x18691))),
% 222.01/222.11     inference(rename_variables,[],[23])).
% 222.01/222.11  cnf(1871,plain,
% 222.01/222.11     (E(f9(x18711,x18712),f9(x18712,x18711))),
% 222.01/222.11     inference(rename_variables,[],[23])).
% 222.01/222.11  cnf(1872,plain,
% 222.01/222.11     (~P2(f9(a8,a5),a7)),
% 222.01/222.11     inference(scs_inference,[],[157,219,1514,745,24,1538,1521,226,273,23,1869,1871,22,25,30,31,2,28,26,35,15,11,13,3,14])).
% 222.01/222.11  cnf(1874,plain,
% 222.01/222.11     (~E(f9(a2,a2),f9(x18741,a8))),
% 222.01/222.11     inference(scs_inference,[],[157,219,1514,745,24,1538,1863,1521,226,273,23,1869,1871,22,25,30,31,2,28,26,35,15,11,13,3,14,34])).
% 222.01/222.11  cnf(1877,plain,
% 222.01/222.11     (~E(f9(x18771,a8),f9(a5,a5))),
% 222.01/222.11     inference(scs_inference,[],[157,219,1514,745,24,1538,1863,1521,66,49,226,273,23,1869,1871,22,25,30,31,2,28,26,35,15,11,13,3,14,34,36])).
% 222.01/222.11  cnf(1879,plain,
% 222.01/222.11     (~P1(f9(a5,x18791))),
% 222.01/222.11     inference(scs_inference,[],[228,28])).
% 222.01/222.11  cnf(1882,plain,
% 222.01/222.11     (E(f9(a2,a2),a1)),
% 222.01/222.11     inference(scs_inference,[],[1862,1528,228,28,2,26])).
% 222.01/222.11  cnf(1884,plain,
% 222.01/222.11     (~E(f9(a2,a2),a8)),
% 222.01/222.11     inference(scs_inference,[],[257,1862,1528,228,28,2,26,11])).
% 222.01/222.11  cnf(1885,plain,
% 222.01/222.11     (~E(a1,a7)),
% 222.01/222.11     inference(scs_inference,[],[257,1862,1860,1867,1528,228,28,2,26,11,3])).
% 222.01/222.11  cnf(1888,plain,
% 222.01/222.11     (~E(f9(x18881,a7),f9(a5,a5))),
% 222.01/222.11     inference(scs_inference,[],[257,1862,1865,1860,1867,1528,128,80,228,23,28,2,26,11,3,14,36])).
% 222.01/222.11  cnf(1890,plain,
% 222.01/222.11     (~P1(a5)),
% 222.01/222.11     inference(scs_inference,[],[155,28])).
% 222.01/222.11  cnf(1893,plain,
% 222.01/222.11     (E(a2,a1)),
% 222.01/222.11     inference(scs_inference,[],[1874,155,17,28,2,26])).
% 222.01/222.11  cnf(1895,plain,
% 222.01/222.11     (~E(f9(a2,a1),f9(x18951,a8))),
% 222.01/222.11     inference(scs_inference,[],[1874,411,1514,155,17,28,2,26,11])).
% 222.01/222.11  cnf(1898,plain,
% 222.01/222.11     (E(f3(a2,x18981),f3(a1,x18981))),
% 222.01/222.11     inference(scs_inference,[],[1885,1874,411,1514,155,17,96,28,2,26,11,3,9])).
% 222.01/222.11  cnf(1899,plain,
% 222.01/222.11     (E(f3(x18991,a2),f3(x18991,a1))),
% 222.01/222.11     inference(scs_inference,[],[1885,1874,411,1514,155,17,96,28,2,26,11,3,9,10])).
% 222.01/222.11  cnf(1900,plain,
% 222.01/222.11     (E(f4(a2,x19001,x19002),f4(a1,x19001,x19002))),
% 222.01/222.11     inference(scs_inference,[],[1885,1874,411,1514,155,17,96,28,2,26,11,3,9,10,6])).
% 222.01/222.11  cnf(1901,plain,
% 222.01/222.11     (E(f4(x19011,a2,x19012),f4(x19011,a1,x19012))),
% 222.01/222.11     inference(scs_inference,[],[1885,1874,411,1514,155,17,96,28,2,26,11,3,9,10,6,7])).
% 222.01/222.11  cnf(1902,plain,
% 222.01/222.11     (E(f4(x19021,x19022,a2),f4(x19021,x19022,a1))),
% 222.01/222.11     inference(scs_inference,[],[1885,1874,411,1514,155,17,96,28,2,26,11,3,9,10,6,7,8])).
% 222.01/222.11  cnf(1903,plain,
% 222.01/222.11     (E(f9(a2,x19031),f9(a1,x19031))),
% 222.01/222.11     inference(scs_inference,[],[1885,1874,411,1514,155,17,96,28,2,26,11,3,9,10,6,7,8,4])).
% 222.01/222.11  cnf(1904,plain,
% 222.01/222.11     (E(f9(x19041,a2),f9(x19041,a1))),
% 222.01/222.11     inference(scs_inference,[],[1885,1874,411,1514,155,17,96,28,2,26,11,3,9,10,6,7,8,4,5])).
% 222.01/222.11  cnf(1905,plain,
% 222.01/222.11     (~P3(x19051,f3(a2,x19052))+P3(x19051,f3(a1,x19052))),
% 222.01/222.11     inference(scs_inference,[],[1885,1874,411,1514,155,17,96,28,2,26,11,3,9,10,6,7,8,4,5,13])).
% 222.01/222.11  cnf(1906,plain,
% 222.01/222.11     (P2(f3(a1,x19061),f3(a2,x19061))),
% 222.01/222.11     inference(scs_inference,[],[1885,1874,411,1514,21,155,17,96,28,2,26,11,3,9,10,6,7,8,4,5,13,14])).
% 222.01/222.11  cnf(1911,plain,
% 222.01/222.11     (~E(f9(a5,a5),f9(x19111,a8))),
% 222.01/222.11     inference(scs_inference,[],[1877,2])).
% 222.01/222.11  cnf(1912,plain,
% 222.01/222.11     (P2(f3(a1,a2),f3(a2,a1))),
% 222.01/222.11     inference(scs_inference,[],[1877,1899,1906,2,15])).
% 222.01/222.11  cnf(1917,plain,
% 222.01/222.11     (~E(f9(a2,a2),a5)),
% 222.01/222.11     inference(scs_inference,[],[1890,1877,1900,1899,1906,928,1528,2,15,13,11])).
% 222.01/222.11  cnf(1919,plain,
% 222.01/222.11     (~P3(f9(a7,a7),f4(a2,a1,a7))),
% 222.01/222.11     inference(scs_inference,[],[1890,1893,1877,1900,1899,1906,1857,928,1528,22,2,15,13,11,3,12])).
% 222.01/222.11  cnf(1922,plain,
% 222.01/222.11     (~P3(f9(a7,a7),f4(a2,a2,a7))),
% 222.01/222.11     inference(scs_inference,[],[1919,1888,1901,2,13])).
% 222.01/222.11  cnf(1927,plain,
% 222.01/222.11     (~E(f9(a1,a2),f9(a8,x19271))),
% 222.01/222.11     inference(scs_inference,[],[1919,1888,1895,1901,1903,480,1868,16,116,2,13,11,3,35])).
% 222.01/222.11  cnf(1928,plain,
% 222.01/222.11     (~P3(x19281,f9(a1,a2))),
% 222.01/222.11     inference(rename_variables,[],[1868])).
% 222.01/222.11  cnf(1930,plain,
% 222.01/222.11     (~E(f9(a1,a2),f9(x19301,a8))),
% 222.01/222.11     inference(scs_inference,[],[1919,1888,1895,1901,1903,480,1868,1928,16,116,2,13,11,3,35,34])).
% 222.01/222.11  cnf(1936,plain,
% 222.01/222.11     (~P3(f9(x19361,a8),f4(a2,a1,a8))),
% 222.01/222.11     inference(scs_inference,[],[1927,1922,849,1900,46,2,12,13])).
% 222.01/222.11  cnf(1937,plain,
% 222.01/222.11     (E(f4(a2,x19371,x19372),f4(a1,x19371,x19372))),
% 222.01/222.11     inference(rename_variables,[],[1900])).
% 222.01/222.11  cnf(1938,plain,
% 222.01/222.11     (E(f4(a2,x19381,a2),f4(a1,x19381,a1))),
% 222.01/222.11     inference(scs_inference,[],[1927,1902,1922,849,1900,1937,46,2,12,13,3])).
% 222.01/222.11  cnf(1941,plain,
% 222.01/222.11     (~E(f9(a2,a1),f9(x19411,a7))),
% 222.01/222.11     inference(scs_inference,[],[1927,1902,534,1922,849,1900,1937,1514,46,2,12,13,3,11])).
% 222.01/222.11  cnf(1942,plain,
% 222.01/222.11     (~E(f9(x19421,a7),f9(a8,a8))),
% 222.01/222.11     inference(scs_inference,[],[1927,1902,534,1922,849,1900,1937,1514,167,46,122,2,12,13,3,11,36])).
% 222.01/222.11  cnf(1947,plain,
% 222.01/222.11     (~E(f9(a2,a2),f9(a7,x19471))),
% 222.01/222.11     inference(scs_inference,[],[1941,646,1903,1528,2,3,11])).
% 222.01/222.11  cnf(1948,plain,
% 222.01/222.11     (~P3(f9(a8,x19481),f4(a2,a1,a8))),
% 222.01/222.11     inference(scs_inference,[],[1941,646,858,1903,1900,1528,2,3,11,13])).
% 222.01/222.11  cnf(1950,plain,
% 222.01/222.11     (~E(f9(a7,x19501),f9(a8,a8))),
% 222.01/222.11     inference(scs_inference,[],[1941,646,858,1903,1900,1528,169,122,2,3,11,13,36])).
% 222.01/222.11  cnf(1956,plain,
% 222.01/222.11     (P2(f4(a1,x19561,a1),f4(a2,x19561,a2))),
% 222.01/222.11     inference(scs_inference,[],[1941,1898,646,1938,1912,858,1903,1900,1528,21,169,122,2,3,11,13,36,33,15,14])).
% 222.01/222.11  cnf(1958,plain,
% 222.01/222.11     (~P3(x19581,f3(a1,a2))+P3(x19581,f3(a1,a1))),
% 222.01/222.11     inference(scs_inference,[],[1941,1898,646,1938,1912,858,1903,1900,1528,21,169,122,2,3,11,13,36,33,15,14,1905])).
% 222.01/222.11  cnf(1961,plain,
% 222.01/222.11     (~P3(f3(a2,a1),f3(a1,a2))),
% 222.01/222.11     inference(scs_inference,[],[1941,1898,646,1938,1912,858,1903,1900,1528,21,169,122,2,3,11,13,36,33,15,14,1905,29])).
% 222.01/222.11  cnf(1962,plain,
% 222.01/222.11     (~P3(f3(a2,a1),f3(a2,a2))),
% 222.01/222.11     inference(scs_inference,[],[1961,1905])).
% 222.01/222.11  cnf(1967,plain,
% 222.01/222.11     (E(f4(x19671,a2,x19672),f4(x19671,a1,x19672))),
% 222.01/222.11     inference(rename_variables,[],[1901])).
% 222.01/222.11  cnf(1968,plain,
% 222.01/222.11     (E(f4(x19681,a2,a2),f4(x19681,a1,a1))),
% 222.01/222.11     inference(scs_inference,[],[1961,1942,1948,1901,1967,1902,1899,1905,2,12,13,3])).
% 222.01/222.11  cnf(1971,plain,
% 222.01/222.11     (~E(a1,f9(x19711,a6))),
% 222.01/222.11     inference(scs_inference,[],[1961,1942,1948,1853,1901,1967,1902,1899,16,1905,2,12,13,3,11])).
% 222.01/222.11  cnf(1973,plain,
% 222.01/222.11     (~P3(f3(a2,a2),f3(a2,a2))),
% 222.01/222.11     inference(scs_inference,[],[1962,1947,1899,2,12])).
% 222.01/222.11  cnf(1975,plain,
% 222.01/222.11     (~E(f9(a2,a1),f9(a7,x19751))),
% 222.01/222.11     inference(scs_inference,[],[1962,1947,1904,1899,2,12,3])).
% 222.01/222.11  cnf(1977,plain,
% 222.01/222.11     (~P3(f9(a7,x19771),f4(a2,a1,a8))),
% 222.01/222.11     inference(scs_inference,[],[1962,1947,1904,875,1899,1900,2,12,3,13])).
% 222.01/222.11  cnf(1979,plain,
% 222.01/222.11     (~E(f9(a2,a1),f9(a6,x19791))),
% 222.01/222.11     inference(scs_inference,[],[1962,1947,1855,1904,875,1899,1900,1514,2,12,3,13,11])).
% 222.01/222.11  cnf(1980,plain,
% 222.01/222.11     (~E(f9(a1,a2),f9(a7,x19801))),
% 222.01/222.11     inference(scs_inference,[],[1962,1947,1855,1904,875,1868,1899,1900,1514,223,2,12,3,13,11,35])).
% 222.01/222.11  cnf(1989,plain,
% 222.01/222.11     (E(f4(a2,a2,a2),f4(a1,a1,a1))),
% 222.01/222.11     inference(scs_inference,[],[1950,1977,1968,1901,1900,2,13,3])).
% 222.01/222.11  cnf(1992,plain,
% 222.01/222.11     (~E(f9(a2,a2),f9(x19921,a5))),
% 222.01/222.11     inference(scs_inference,[],[1950,1977,1858,1968,1901,1900,1528,2,13,3,11])).
% 222.01/222.11  cnf(1993,plain,
% 222.01/222.11     (~P3(f9(x19931,a7),f4(a2,a1,a8))),
% 222.01/222.11     inference(scs_inference,[],[1950,1977,1858,1968,1901,1900,1528,23,2,13,3,11,12])).
% 222.01/222.11  cnf(1998,plain,
% 222.01/222.11     (~E(a1,f9(a6,x19981))),
% 222.01/222.11     inference(scs_inference,[],[1975,1979,1993,1860,1901,2,13,3])).
% 222.01/222.11  cnf(1999,plain,
% 222.01/222.11     (~E(a1,f9(a5,x19991))),
% 222.01/222.11     inference(scs_inference,[],[1975,1979,1993,1879,1860,1901,16,2,13,3,11])).
% 222.01/222.11  cnf(2000,plain,
% 222.01/222.11     (~P3(x20001,f4(a1,x20002,a1))+P3(x20001,f4(a2,x20002,a2))),
% 222.01/222.11     inference(scs_inference,[],[1975,1979,1993,1879,1956,1860,1901,16,2,13,3,11,33])).
% 222.01/222.11  cnf(2002,plain,
% 222.01/222.11     (P2(f4(a1,a2,a1),f4(a1,a1,a1))),
% 222.01/222.11     inference(scs_inference,[],[1975,1979,1993,1879,1956,1989,1860,1901,16,2,13,3,11,33,15])).
% 222.01/222.11  cnf(2004,plain,
% 222.01/222.11     (P2(f4(a1,a1,a1),f4(a2,a2,a2))),
% 222.01/222.11     inference(scs_inference,[],[1975,1979,1993,1879,1956,1989,1860,1901,16,21,2,13,3,11,33,15,14])).
% 222.01/222.11  cnf(2006,plain,
% 222.01/222.11     (~E(f9(x20061,a5),f9(a8,a8))),
% 222.01/222.11     inference(scs_inference,[],[1975,1979,1993,1879,1956,1989,1860,1901,16,21,226,122,2,13,3,11,33,15,14,36])).
% 222.01/222.11  cnf(2010,plain,
% 222.01/222.11     (~P3(f4(a2,a2,a2),f4(a1,a2,a1))),
% 222.01/222.11     inference(scs_inference,[],[1975,1979,1993,1879,1956,1989,1860,1901,16,21,226,122,2,13,3,11,33,15,14,36,29])).
% 222.01/222.11  cnf(2013,plain,
% 222.01/222.11     (~P3(f4(a2,a2,a2),f4(a2,a2,a2))),
% 222.01/222.11     inference(scs_inference,[],[2010,1992,1938,2,13])).
% 222.01/222.11  cnf(2015,plain,
% 222.01/222.11     (~E(f9(a2,a1),f9(a8,x20151))),
% 222.01/222.11     inference(scs_inference,[],[2010,1992,480,1938,1514,2,13,11])).
% 222.01/222.11  cnf(2016,plain,
% 222.01/222.11     (~E(a1,f9(x20161,a5))),
% 222.01/222.11     inference(scs_inference,[],[2010,1992,1882,480,1938,1514,2,13,11,3])).
% 222.01/222.11  cnf(2017,plain,
% 222.01/222.11     (~E(f9(a5,x20171),f9(a8,a8))),
% 222.01/222.11     inference(scs_inference,[],[2010,1992,1882,480,1938,1514,228,122,2,13,11,3,36])).
% 222.01/222.11  cnf(2019,plain,
% 222.01/222.11     (~P3(f4(a2,a2,a2),f4(a1,a1,a1))),
% 222.01/222.11     inference(scs_inference,[],[2010,2004,1992,1882,480,1938,1514,228,122,2,13,11,3,36,33])).
% 222.01/222.11  cnf(2021,plain,
% 222.01/222.11     (~E(f9(a8,a8),f9(x20211,a5))),
% 222.01/222.11     inference(scs_inference,[],[2006,2])).
% 222.01/222.11  cnf(2027,plain,
% 222.01/222.11     (~E(f9(a5,a5),f9(a8,x20271))),
% 222.01/222.11     inference(scs_inference,[],[2019,2006,2015,411,1968,509,1903,16,116,2,13,3,11,35])).
% 222.01/222.11  cnf(2029,plain,
% 222.01/222.11     (~E(f9(a1,a2),f9(x20291,a5))),
% 222.01/222.11     inference(scs_inference,[],[2019,2006,2015,411,1968,509,1903,1868,16,116,155,2,13,3,11,35,34])).
% 222.01/222.11  cnf(2035,plain,
% 222.01/222.11     (~E(f9(a2,a2),f9(x20351,a7))),
% 222.01/222.11     inference(scs_inference,[],[2017,1936,534,1901,1528,2,13,11])).
% 222.01/222.11  cnf(2036,plain,
% 222.01/222.11     (E(f3(a2,a2),f3(a1,a1))),
% 222.01/222.11     inference(scs_inference,[],[2017,1936,1898,534,1899,1901,1528,2,13,11,3])).
% 222.01/222.11  cnf(2045,plain,
% 222.01/222.11     (P2(f3(a1,a1),f3(a2,a2))),
% 222.01/222.11     inference(scs_inference,[],[2036,2027,1980,1904,21,2,3,14])).
% 222.01/222.11  cnf(2048,plain,
% 222.01/222.11     (~E(f9(a2,a1),f9(x20481,a6))),
% 222.01/222.11     inference(scs_inference,[],[2036,2027,1980,1853,1904,21,1514,2,3,14,13,11])).
% 222.01/222.11  cnf(2050,plain,
% 222.01/222.11     (~P3(f3(a2,a2),f3(a1,a1))),
% 222.01/222.11     inference(scs_inference,[],[2045,2035,1973,2,33])).
% 222.01/222.11  cnf(2052,plain,
% 222.01/222.11     (P2(f3(a1,a1),f3(a1,a2))),
% 222.01/222.11     inference(scs_inference,[],[2045,2035,1973,1898,2,33,15])).
% 222.01/222.11  cnf(2054,plain,
% 222.01/222.11     (~P3(f9(x20541,a7),f4(a2,a1,a7))),
% 222.01/222.11     inference(scs_inference,[],[2045,2035,1973,931,1898,1900,2,33,15,13])).
% 222.01/222.11  cnf(2056,plain,
% 222.01/222.11     (~E(f9(a2,a2),f9(a6,x20561))),
% 222.01/222.11     inference(scs_inference,[],[2045,2035,1973,931,1855,1898,1900,1528,2,33,15,13,11])).
% 222.01/222.11  cnf(2058,plain,
% 222.01/222.11     (~P3(f3(a2,a2),f3(a2,a1))),
% 222.01/222.11     inference(scs_inference,[],[2045,2035,1973,931,1855,1882,1898,1900,1528,2,33,15,13,11,3,1905])).
% 222.01/222.11  cnf(2060,plain,
% 222.01/222.11     (~P3(f3(a2,a1),f3(a1,a1))),
% 222.01/222.11     inference(scs_inference,[],[2052,2048,1961,2,33])).
% 222.01/222.11  cnf(2064,plain,
% 222.01/222.11     (~E(a1,a5)),
% 222.01/222.11     inference(scs_inference,[],[2052,2048,2054,1890,1961,1901,16,2,33,13,11])).
% 222.01/222.11  cnf(2065,plain,
% 222.01/222.11     (~E(f9(a1,a1),f9(x20651,a5))),
% 222.01/222.11     inference(scs_inference,[],[2052,2048,2054,2029,1890,1904,1961,1901,16,2,33,13,11,3])).
% 222.01/222.11  cnf(2067,plain,
% 222.01/222.11     (~E(f9(a8,a2),f9(a5,x20671))),
% 222.01/222.11     inference(scs_inference,[],[2052,2048,2054,2029,1890,1904,1961,204,1901,16,155,2,33,13,11,3,35])).
% 222.01/222.11  cnf(2071,plain,
% 222.01/222.11     (~E(a5,a1)),
% 222.01/222.11     inference(scs_inference,[],[2064,2])).
% 222.01/222.11  cnf(2074,plain,
% 222.01/222.11     (~E(f9(a2,a1),f9(x20741,a5))),
% 222.01/222.11     inference(scs_inference,[],[2064,934,1858,1900,1514,2,13,11])).
% 222.01/222.11  cnf(2080,plain,
% 222.01/222.11     (~E(f9(a6,x20801),f9(a2,a2))),
% 222.01/222.11     inference(scs_inference,[],[2056,2])).
% 222.01/222.11  cnf(2081,plain,
% 222.01/222.11     (~E(f9(a2,a2),f9(a5,x20811))),
% 222.01/222.11     inference(scs_inference,[],[2056,1879,1528,2,11])).
% 222.01/222.11  cnf(2084,plain,
% 222.01/222.11     (P2(f4(x20841,x20842,a1),f4(x20841,x20842,a2))),
% 222.01/222.11     inference(scs_inference,[],[2071,2056,1879,1902,21,1528,96,2,11,3,14])).
% 222.01/222.11  cnf(2088,plain,
% 222.01/222.11     (P2(f4(x20881,x20882,a1),f4(x20881,x20882,a2))),
% 222.01/222.11     inference(rename_variables,[],[2084])).
% 222.01/222.11  cnf(2091,plain,
% 222.01/222.11     (P2(f4(a2,a2,a1),f4(a1,a1,a1))),
% 222.01/222.11     inference(scs_inference,[],[2060,2065,2084,2088,2013,1989,2,33,1905,15])).
% 222.01/222.11  cnf(2093,plain,
% 222.01/222.11     (~P3(f9(x20931,a7),f4(a1,a2,a8))),
% 222.01/222.11     inference(scs_inference,[],[2060,2065,2084,2088,2013,925,1989,1901,2,33,1905,15,13])).
% 222.01/222.11  cnf(2096,plain,
% 222.01/222.11     (~E(f9(a8,a1),f9(a5,x20961))),
% 222.01/222.11     inference(scs_inference,[],[2067,284,155,2,35])).
% 222.01/222.11  cnf(2098,plain,
% 222.01/222.11     (~E(f9(a8,a1),f9(x20981,a5))),
% 222.01/222.11     inference(scs_inference,[],[2067,284,155,2,35,34])).
% 222.01/222.11  cnf(2104,plain,
% 222.01/222.11     (P2(f4(x21041,a1,a1),f4(x21041,a2,a2))),
% 222.01/222.11     inference(scs_inference,[],[1884,2074,1968,1903,21,2,3,14])).
% 222.01/222.11  cnf(2106,plain,
% 222.01/222.11     (~E(a1,a6)),
% 222.01/222.11     inference(scs_inference,[],[1884,2074,1968,1903,24,16,21,2,3,14,11])).
% 222.01/222.11  cnf(2107,plain,
% 222.01/222.11     (~E(a6,a1)),
% 222.01/222.11     inference(scs_inference,[],[2106,2])).
% 222.01/222.11  cnf(2108,plain,
% 222.01/222.11     (~P3(f4(a2,a2,a2),f4(a2,a1,a1))),
% 222.01/222.11     inference(scs_inference,[],[2106,2104,2013,2,33])).
% 222.01/222.11  cnf(2109,plain,
% 222.01/222.11     (P2(f4(x21091,a1,a1),f4(x21091,a2,a2))),
% 222.01/222.11     inference(rename_variables,[],[2104])).
% 222.01/222.11  cnf(2111,plain,
% 222.01/222.11     (~E(f9(a1,a1),a6)),
% 222.01/222.11     inference(scs_inference,[],[2106,2104,2013,46,2,33,3])).
% 222.01/222.11  cnf(2113,plain,
% 222.01/222.11     (P2(f4(a2,a1,a1),f4(a1,a2,a1))),
% 222.01/222.11     inference(scs_inference,[],[2106,2104,2109,2013,1938,46,2,33,3,15])).
% 222.01/222.11  cnf(2121,plain,
% 222.01/222.11     (~E(f9(a5,a5),f9(a7,x21211))),
% 222.01/222.11     inference(scs_inference,[],[2107,2081,100,70,96,2,3,35])).
% 222.01/222.11  cnf(2124,plain,
% 222.01/222.11     (~E(f9(a1,a8),f9(a5,x21241))),
% 222.01/222.11     inference(scs_inference,[],[2096,23,2,3])).
% 222.01/222.11  cnf(2128,plain,
% 222.01/222.11     (P2(f4(a2,a1,a1),f4(a1,a1,a1))),
% 222.01/222.11     inference(scs_inference,[],[2091,2098,1901,2,14])).
% 222.01/222.11  cnf(2131,plain,
% 222.01/222.11     (~E(a5,f9(x21311,a8))),
% 222.01/222.11     inference(scs_inference,[],[2091,1911,2098,257,1901,1514,22,2,14,11,3])).
% 222.01/222.11  cnf(2133,plain,
% 222.01/222.11     (~E(f9(a7,x21331),f9(a5,a5))),
% 222.01/222.11     inference(scs_inference,[],[2121,2])).
% 222.01/222.11  cnf(2134,plain,
% 222.01/222.11     (~P2(f9(a8,a5),f9(a7,a1))),
% 222.01/222.11     inference(scs_inference,[],[2121,1872,20,2,15])).
% 222.01/222.11  cnf(2136,plain,
% 222.01/222.11     (~P2(f9(a5,a8),f9(a7,a1))),
% 222.01/222.11     inference(scs_inference,[],[2121,1872,23,20,2,15,14])).
% 222.01/222.11  cnf(2138,plain,
% 222.01/222.11     (~P3(f4(a2,a2,a2),f4(a2,a1,a2))),
% 222.01/222.11     inference(scs_inference,[],[2108,2121,1872,1902,23,20,2,15,14,13])).
% 222.01/222.11  cnf(2141,plain,
% 222.01/222.11     (~P2(f9(a8,a5),f9(a7,a2))),
% 222.01/222.11     inference(scs_inference,[],[2134,2124,1904,2,15])).
% 222.01/222.11  cnf(2144,plain,
% 222.01/222.11     (~P2(f9(a5,a8),f9(a7,a2))),
% 222.01/222.11     inference(scs_inference,[],[2136,1930,1904,2,15])).
% 222.01/222.11  cnf(2151,plain,
% 222.01/222.11     (~P2(f9(a8,a5),f9(a2,a7))),
% 222.01/222.11     inference(scs_inference,[],[2141,1917,23,2,15])).
% 222.01/222.11  cnf(2152,plain,
% 222.01/222.11     (E(f9(x21521,x21522),f9(x21522,x21521))),
% 222.01/222.11     inference(rename_variables,[],[23])).
% 222.01/222.11  cnf(2153,plain,
% 222.01/222.11     (~P2(f9(a5,a8),f9(a2,a7))),
% 222.01/222.11     inference(scs_inference,[],[2141,1917,23,2152,2,15,14])).
% 222.01/222.11  cnf(2157,plain,
% 222.01/222.11     (~E(a6,f9(a1,a1))),
% 222.01/222.11     inference(scs_inference,[],[2111,2])).
% 222.01/222.11  cnf(2167,plain,
% 222.01/222.11     (~E(f9(a6,x21671),a1)),
% 222.01/222.11     inference(scs_inference,[],[1998,2])).
% 222.01/222.11  cnf(2171,plain,
% 222.01/222.11     (~P3(f4(a5,a8,a8),f9(a2,a8))),
% 222.01/222.11     inference(scs_inference,[],[1999,204,23,2,13])).
% 222.01/222.11  cnf(2185,plain,
% 222.01/222.11     (~E(f9(a2,a8),f9(a7,x21851))),
% 222.01/222.11     inference(scs_inference,[],[2131,2171,161,2,35])).
% 222.01/222.11  cnf(2202,plain,
% 222.01/222.11     (~E(a2,a7)),
% 222.01/222.11     inference(scs_inference,[],[217,2])).
% 222.01/222.11  cnf(2205,plain,
% 222.01/222.11     (~E(f9(a5,a8),f9(a5,a1))),
% 222.01/222.11     inference(scs_inference,[],[496,2])).
% 222.01/222.11  cnf(2207,plain,
% 222.01/222.11     (~E(f9(a8,a5),f9(a5,a1))),
% 222.01/222.11     inference(scs_inference,[],[2205,784,23,2,3])).
% 222.01/222.11  cnf(2209,plain,
% 222.01/222.11     (~E(f9(a5,a1),f9(a8,a5))),
% 222.01/222.11     inference(scs_inference,[],[2207,2])).
% 222.01/222.11  cnf(2212,plain,
% 222.01/222.11     (~P3(f9(f3(a2,a2),f3(a2,a2)),f3(a1,a2))),
% 222.01/222.11     inference(scs_inference,[],[2050,22,1958,12])).
% 222.01/222.11  cnf(2214,plain,
% 222.01/222.11     (~E(f9(a1,a5),f9(a8,a5))),
% 222.01/222.11     inference(scs_inference,[],[2209,513,23,2,3])).
% 222.01/222.11  cnf(2216,plain,
% 222.01/222.11     (~E(f9(a8,a5),f9(a1,a5))),
% 222.01/222.11     inference(scs_inference,[],[2214,2])).
% 222.01/222.11  cnf(2220,plain,
% 222.01/222.11     (~E(f4(a5,a8,a8),f4(a1,a1,a8))),
% 222.01/222.11     inference(scs_inference,[],[403,2])).
% 222.01/222.11  cnf(2221,plain,
% 222.01/222.11     (~E(a8,a7)),
% 222.01/222.11     inference(scs_inference,[],[183,2])).
% 222.01/222.11  cnf(2222,plain,
% 222.01/222.11     (~E(f9(a1,a1),a5)),
% 222.01/222.11     inference(scs_inference,[],[183,2064,46,2,3])).
% 222.01/222.11  cnf(2224,plain,
% 222.01/222.11     (~E(a5,f9(a1,a1))),
% 222.01/222.11     inference(scs_inference,[],[2222,2])).
% 222.01/222.11  cnf(2228,plain,
% 222.01/222.11     (~E(f9(a5,a8),f9(a1,a5))),
% 222.01/222.11     inference(scs_inference,[],[2216,1979,23,2,3])).
% 222.01/222.11  cnf(2231,plain,
% 222.01/222.11     (~E(f9(a8,a1),a7)),
% 222.01/222.11     inference(scs_inference,[],[2221,2228,96,2,3])).
% 222.01/222.11  cnf(2233,plain,
% 222.01/222.11     (~E(a7,f9(a8,a1))),
% 222.01/222.11     inference(scs_inference,[],[2231,2])).
% 222.01/222.11  cnf(2244,plain,
% 222.01/222.11     (~E(a2,a8)),
% 222.01/222.11     inference(scs_inference,[],[241,2])).
% 222.01/222.11  cnf(2251,plain,
% 222.01/222.11     (~E(f9(a1,a8),f9(a7,x22511))),
% 222.01/222.11     inference(scs_inference,[],[2185,1903,3])).
% 222.01/222.11  cnf(2255,plain,
% 222.01/222.11     (~P3(f9(f4(a2,a2,a2),f4(a2,a2,a2)),f4(a1,a1,a1))),
% 222.01/222.11     inference(scs_inference,[],[2138,22,2000,12])).
% 222.01/222.11  cnf(2256,plain,
% 222.01/222.11     (~E(a2,f9(x22561,a6))),
% 222.01/222.11     inference(scs_inference,[],[17,1853,11])).
% 222.01/222.11  cnf(2258,plain,
% 222.01/222.11     (~P3(f4(a5,a8,a5),f9(a5,a1))),
% 222.01/222.11     inference(scs_inference,[],[20,49,13])).
% 222.01/222.11  cnf(2260,plain,
% 222.01/222.11     (~E(f9(a7,a1),f9(a8,a1))),
% 222.01/222.11     inference(scs_inference,[],[20,2233,49,96,13,3])).
% 222.01/222.11  cnf(2263,plain,
% 222.01/222.11     (~E(f9(a5,a1),f9(x22631,a8))),
% 222.01/222.11     inference(scs_inference,[],[2258,2260,60,2,34])).
% 222.01/222.11  cnf(2265,plain,
% 222.01/222.11     (~E(f9(a5,a1),f9(a8,x22651))),
% 222.01/222.11     inference(scs_inference,[],[2258,2260,60,2,34,35])).
% 222.01/222.11  cnf(2267,plain,
% 222.01/222.11     (~P3(f4(a5,a8,a5),f9(a5,a2))),
% 222.01/222.11     inference(scs_inference,[],[2258,2260,1904,60,2,34,35,13])).
% 222.01/222.11  cnf(2270,plain,
% 222.01/222.11     (~P3(f4(a8,a5,a5),f9(a5,a1))),
% 222.01/222.11     inference(scs_inference,[],[20,2263,80,2,13])).
% 222.01/222.11  cnf(2273,plain,
% 222.01/222.11     (~P3(f4(a8,a5,a5),f9(a5,a2))),
% 222.01/222.11     inference(scs_inference,[],[2270,2265,1904,2,13])).
% 222.01/222.11  cnf(2279,plain,
% 222.01/222.11     (~P3(f4(a8,a5,a5),f9(a2,a5))),
% 222.01/222.11     inference(scs_inference,[],[20,2273,2080,23,3,13])).
% 222.01/222.11  cnf(2281,plain,
% 222.01/222.11     (~E(f9(a2,a2),a6)),
% 222.01/222.11     inference(scs_inference,[],[20,2273,2080,23,3,13,2])).
% 222.01/222.11  cnf(2284,plain,
% 222.01/222.11     (~E(f9(a2,a5),f9(a8,x22841))),
% 222.01/222.11     inference(scs_inference,[],[2279,116,34,35])).
% 222.01/222.11  cnf(2289,plain,
% 222.01/222.11     (~E(f9(a1,a2),a6)),
% 222.01/222.11     inference(scs_inference,[],[2281,2284,1903,2,3])).
% 222.01/222.11  cnf(2292,plain,
% 222.01/222.11     (~E(a6,f9(a1,a2))),
% 222.01/222.11     inference(scs_inference,[],[2289,2])).
% 222.01/222.11  cnf(2293,plain,
% 222.01/222.11     (~E(a7,f9(a5,a5))),
% 222.01/222.11     inference(scs_inference,[],[20,2133,2289,2,3])).
% 222.01/222.11  cnf(2297,plain,
% 222.01/222.11     (~E(f9(a5,a5),a7)),
% 222.01/222.11     inference(scs_inference,[],[2293,2])).
% 222.01/222.11  cnf(2298,plain,
% 222.01/222.11     (~P3(f4(a5,a8,a5),f9(a2,a5))),
% 222.01/222.11     inference(scs_inference,[],[2267,2293,23,2,13])).
% 222.01/222.11  cnf(2303,plain,
% 222.01/222.11     (~E(f9(a5,a1),f9(a7,x23031))),
% 222.01/222.11     inference(scs_inference,[],[2270,120,34,35])).
% 222.01/222.11  cnf(2308,plain,
% 222.01/222.11     (~E(f9(a6,a6),f9(a1,a2))),
% 222.01/222.11     inference(scs_inference,[],[2292,2303,46,2,3])).
% 222.01/222.11  cnf(2312,plain,
% 222.01/222.11     (P2(f3(x23121,a1),f3(x23121,a2))),
% 222.01/222.11     inference(scs_inference,[],[21,2308,1899,2,14])).
% 222.01/222.11  cnf(2313,plain,
% 222.01/222.11     (P2(x23131,x23131)),
% 222.01/222.11     inference(rename_variables,[],[21])).
% 222.01/222.11  cnf(2314,plain,
% 222.01/222.11     (P2(f3(a2,a2),f3(a1,a1))),
% 222.01/222.11     inference(scs_inference,[],[21,2313,2308,2036,1899,2,14,15])).
% 222.01/222.11  cnf(2320,plain,
% 222.01/222.11     (~E(f9(a5,a2),f9(a8,x23201))),
% 222.01/222.11     inference(scs_inference,[],[2273,116,34,35])).
% 222.01/222.11  cnf(2325,plain,
% 222.01/222.11     (~E(a5,a7)),
% 222.01/222.11     inference(scs_inference,[],[22,2297,2320,2,3])).
% 222.01/222.11  cnf(2328,plain,
% 222.01/222.11     (P2(f3(a2,a1),f3(a1,a1))),
% 222.01/222.11     inference(scs_inference,[],[2325,2314,1899,2,14])).
% 222.01/222.11  cnf(2330,plain,
% 222.01/222.11     (P2(f3(a2,a1),f3(a1,a2))),
% 222.01/222.11     inference(scs_inference,[],[2325,2314,2312,1898,1899,2,14,15])).
% 222.01/222.11  cnf(2336,plain,
% 222.01/222.11     (E(f9(x23361,x23362),f9(x23362,x23361))),
% 222.01/222.11     inference(rename_variables,[],[23])).
% 222.01/222.11  cnf(2337,plain,
% 222.01/222.11     (~P2(f9(a8,a5),f9(a1,a7))),
% 222.01/222.11     inference(scs_inference,[],[23,2336,2134,2258,13,15])).
% 222.01/222.11  cnf(2338,plain,
% 222.01/222.11     (E(f9(x23381,x23382),f9(x23382,x23381))),
% 222.01/222.11     inference(rename_variables,[],[23])).
% 222.01/222.11  cnf(2339,plain,
% 222.01/222.11     (~P3(f9(a7,x23391),f4(a1,a2,a8))),
% 222.01/222.11     inference(scs_inference,[],[23,2336,2338,2093,2134,2258,13,15,12])).
% 222.01/222.11  cnf(2341,plain,
% 222.01/222.11     (E(f9(x23411,x23412),f9(x23412,x23411))),
% 222.01/222.11     inference(rename_variables,[],[23])).
% 222.01/222.11  cnf(2346,plain,
% 222.01/222.11     (~P2(f9(a5,a8),f9(a1,a7))),
% 222.01/222.11     inference(scs_inference,[],[23,2336,2338,2341,2298,2093,2134,2258,70,13,15,12,34,35,14])).
% 222.01/222.11  cnf(2357,plain,
% 222.01/222.11     (~E(f9(a2,a1),a6)),
% 222.01/222.11     inference(scs_inference,[],[24,1514,11])).
% 222.01/222.11  cnf(2370,plain,
% 222.01/222.11     (~E(a2,a6)),
% 222.01/222.11     inference(scs_inference,[],[24,17,11])).
% 222.01/222.11  cnf(2386,plain,
% 222.01/222.11     (E(f9(a2,a2),f9(a1,a1))),
% 222.01/222.11     inference(scs_inference,[],[44,1538,38])).
% 222.01/222.11  cnf(2389,plain,
% 222.01/222.11     (~P3(x23891,a1)),
% 222.01/222.11     inference(rename_variables,[],[44])).
% 222.01/222.11  cnf(2391,plain,
% 222.01/222.11     (~E(f9(a5,x23911),f9(a1,a1))),
% 222.01/222.11     inference(scs_inference,[],[44,2389,1538,228,38,36])).
% 222.01/222.11  cnf(2397,plain,
% 222.01/222.11     (E(a1,f9(a1,a2))),
% 222.01/222.11     inference(scs_inference,[],[44,2391,92,2,38])).
% 222.01/222.11  cnf(2413,plain,
% 222.01/222.11     (E(a2,f9(a1,a1))),
% 222.01/222.11     inference(scs_inference,[],[44,2251,92,23,3,2,38])).
% 222.01/222.11  cnf(2419,plain,
% 222.01/222.11     (~P3(a7,f4(a1,a2,a8))),
% 222.01/222.11     inference(scs_inference,[],[46,2339,12])).
% 222.01/222.11  cnf(2451,plain,
% 222.01/222.11     (~P3(x24511,a2)),
% 222.01/222.11     inference(rename_variables,[],[92])).
% 222.01/222.11  cnf(2453,plain,
% 222.01/222.11     (E(a2,f9(a1,a2))),
% 222.01/222.11     inference(scs_inference,[],[92,2451,155,44,34,38])).
% 222.01/222.11  cnf(2456,plain,
% 222.01/222.11     (~P3(x24561,a2)),
% 222.01/222.11     inference(rename_variables,[],[92])).
% 222.01/222.11  cnf(2459,plain,
% 222.01/222.11     (~E(a2,f9(a5,x24591))),
% 222.01/222.11     inference(scs_inference,[],[92,2451,2456,155,44,34,38,2,35])).
% 222.01/222.11  cnf(2464,plain,
% 222.01/222.11     (E(f9(a1,a2),f9(a2,a2))),
% 222.01/222.11     inference(scs_inference,[],[92,2202,2453,2459,1868,2,3,38])).
% 222.01/222.11  cnf(2477,plain,
% 222.01/222.11     (~E(f9(a1,a2),f9(x24771,a6))),
% 222.01/222.11     inference(scs_inference,[],[2397,1971,3])).
% 222.01/222.11  cnf(2483,plain,
% 222.01/222.11     (~E(f9(a2,a2),f9(x24831,a6))),
% 222.01/222.11     inference(scs_inference,[],[2464,2477,3])).
% 222.01/222.11  cnf(2508,plain,
% 222.01/222.11     (~P1(f9(f9(a6,x25081),x25082))),
% 222.01/222.11     inference(scs_inference,[],[2167,26,31])).
% 222.01/222.11  cnf(2512,plain,
% 222.01/222.11     (~E(f9(a2,a2),f9(f9(a7,x25121),x25122))),
% 222.01/222.11     inference(scs_inference,[],[1528,280,28,35])).
% 222.01/222.11  cnf(2517,plain,
% 222.01/222.11     (~E(f9(a2,a1),f9(x25171,f9(x25172,a8)))),
% 222.01/222.11     inference(scs_inference,[],[1514,198,28,34])).
% 222.01/222.11  cnf(2520,plain,
% 222.01/222.11     (~P3(f3(a2,a2),f9(f3(a2,a1),f9(a1,a1)))),
% 222.01/222.11     inference(scs_inference,[],[107,2058,28,43])).
% 222.01/222.11  cnf(2544,plain,
% 222.01/222.11     (~P3(a8,f4(a1,a2,a8))),
% 222.01/222.11     inference(scs_inference,[],[306,1901,13])).
% 222.01/222.11  cnf(2553,plain,
% 222.01/222.11     (~P3(a7,f9(f9(f4(a1,a2,a8),f9(a2,a1)),f9(f4(a1,a2,a8),f9(a2,a1))))),
% 222.01/222.11     inference(scs_inference,[],[1514,2419,22,28,36])).
% 222.01/222.11  cnf(2557,plain,
% 222.01/222.11     (E(f9(a1,a1),f9(f9(a2,a2),f9(a2,a2)))),
% 222.01/222.11     inference(scs_inference,[],[107,1538,28,38])).
% 222.01/222.11  cnf(2585,plain,
% 222.01/222.11     (E(f9(a2,a2),f9(f9(a2,a1),f9(a2,a1)))),
% 222.01/222.11     inference(scs_inference,[],[1528,1521,28,38])).
% 222.01/222.11  cnf(2589,plain,
% 222.01/222.11     (E(f9(a2,a1),f9(f9(a2,a2),f9(a2,a2)))),
% 222.01/222.11     inference(scs_inference,[],[1514,1538,28,38])).
% 222.01/222.11  cnf(2593,plain,
% 222.01/222.11     (E(f9(a1,a1),f9(f9(a1,a2),f9(a1,a2)))),
% 222.01/222.11     inference(scs_inference,[],[107,1868,28,38])).
% 222.01/222.11  cnf(2597,plain,
% 222.01/222.11     (E(a2,f9(f9(a2,a1),f9(a2,a1)))),
% 222.01/222.11     inference(scs_inference,[],[17,1521,28,38])).
% 222.01/222.11  cnf(2608,plain,
% 222.01/222.11     (E(f9(a1,a2),f9(a1,f9(a1,a2)))),
% 222.01/222.11     inference(scs_inference,[],[16,1868,28,38])).
% 222.01/222.11  cnf(2609,plain,
% 222.01/222.11     (~P3(f9(x26091,a8),f9(f9(f4(a8,a5,a5),a2),a1))),
% 222.01/222.11     inference(scs_inference,[],[17,881,20,28,36])).
% 222.01/222.11  cnf(2613,plain,
% 222.01/222.11     (E(f9(a2,a1),f9(a1,f9(a2,a1)))),
% 222.01/222.11     inference(scs_inference,[],[16,1521,28,38])).
% 222.01/222.11  cnf(2615,plain,
% 222.01/222.11     (E(f9(a2,a2),f9(f9(a2,a2),f9(a1,a1)))),
% 222.01/222.11     inference(scs_inference,[],[107,1538,28,38])).
% 222.01/222.11  cnf(2643,plain,
% 222.01/222.11     (E(f9(a2,a1),f9(f9(a2,a1),f9(a2,a2)))),
% 222.01/222.11     inference(scs_inference,[],[1528,1521,28,38])).
% 222.01/222.11  cnf(2644,plain,
% 222.01/222.11     (E(f9(a2,a2),f9(a1,f9(a2,a2)))),
% 222.01/222.11     inference(scs_inference,[],[16,1538,28,38])).
% 222.01/222.11  cnf(2645,plain,
% 222.01/222.11     (E(f9(a1,a2),f9(f9(a1,a2),f9(a2,a2)))),
% 222.01/222.11     inference(scs_inference,[],[1528,1868,28,38])).
% 222.01/222.11  cnf(2648,plain,
% 222.01/222.11     (~P3(f3(f9(a5,a8),f9(a7,a2)),f9(a7,a2))),
% 222.01/222.11     inference(scs_inference,[],[2144,37])).
% 222.01/222.11  cnf(2650,plain,
% 222.01/222.11     (E(f9(x26501,f9(a2,a2)),f9(x26501,f9(a1,a1)))),
% 222.01/222.11     inference(scs_inference,[],[2144,2386,37,5])).
% 222.01/222.11  cnf(2657,plain,
% 222.01/222.11     (P3(f9(f4(a5,a8,a5),a1),a8)),
% 222.01/222.11     inference(scs_inference,[],[2144,2386,611,96,37,5,31,30,10,7,83])).
% 222.01/222.11  cnf(2662,plain,
% 222.01/222.11     (E(f9(f9(a2,a2),x26621),f9(f9(a1,a1),x26621))),
% 222.01/222.11     inference(scs_inference,[],[2144,2386,611,96,37,5,31,30,10,7,83,8,6,9,4])).
% 222.01/222.11  cnf(2663,plain,
% 222.01/222.11     (P3(f3(f9(a5,a8),f9(a7,a2)),f9(a5,a8))),
% 222.01/222.11     inference(scs_inference,[],[2144,2386,611,96,37,5,31,30,10,7,83,8,6,9,4,32])).
% 222.01/222.11  cnf(2665,plain,
% 222.01/222.11     (~P3(f9(f3(a2,a2),f3(a2,a2)),f3(a2,a2))),
% 222.01/222.11     inference(scs_inference,[],[2144,2386,2212,611,96,37,5,31,30,10,7,83,8,6,9,4,32,1905])).
% 222.01/222.11  cnf(2673,plain,
% 222.01/222.11     (~P3(f9(f3(a2,a2),f3(a2,a2)),f3(a2,a1))),
% 222.01/222.11     inference(scs_inference,[],[464,2144,2386,2330,2212,2512,611,2609,2553,96,37,5,31,30,10,7,83,8,6,9,4,32,1905,41,42,2,43,33])).
% 222.01/222.11  cnf(2675,plain,
% 222.01/222.11     (~P3(f9(f4(a5,a8,a8),f4(a5,a8,a8)),f9(f9(a8,a1),f9(a8,a1)))),
% 222.01/222.11     inference(scs_inference,[],[464,2144,2386,2330,2212,466,2512,611,2609,2553,96,22,37,5,31,30,10,7,83,8,6,9,4,32,1905,41,42,2,43,33,12])).
% 222.01/222.11  cnf(2676,plain,
% 222.01/222.11     (E(f9(x26761,x26761),x26761)),
% 222.01/222.11     inference(rename_variables,[],[22])).
% 222.01/222.11  cnf(2677,plain,
% 222.01/222.11     (~E(f9(f9(a8,a1),f9(a8,a1)),f9(x26771,f9(x26772,f9(x26773,a7))))),
% 222.01/222.11     inference(scs_inference,[],[464,2144,2386,2330,2212,466,2512,611,2609,2553,522,96,22,37,5,31,30,10,7,83,8,6,9,4,32,1905,41,42,2,43,33,12,34])).
% 222.01/222.11  cnf(2680,plain,
% 222.01/222.11     (~P3(x26801,f9(f9(a1,a1),a1))),
% 222.01/222.11     inference(rename_variables,[],[57])).
% 222.01/222.11  cnf(2682,plain,
% 222.01/222.11     (P2(f9(f9(a2,a2),f9(a2,a2)),x26821)),
% 222.01/222.11     inference(scs_inference,[],[464,2144,2386,2330,2212,466,2557,2512,611,2609,2553,1397,57,89,522,96,22,37,5,31,30,10,7,83,8,6,9,4,32,1905,41,42,2,43,33,12,34,35,14])).
% 222.01/222.11  cnf(2684,plain,
% 222.01/222.11     (~P3(f9(f3(a2,a2),f3(a2,a2)),f3(a1,f9(a2,a1)))),
% 222.01/222.11     inference(scs_inference,[],[464,2244,2144,2386,2330,2212,466,2557,2597,2512,611,2609,2553,1397,57,89,522,968,96,22,37,5,31,30,10,7,83,8,6,9,4,32,1905,41,42,2,43,33,12,34,35,14,3,13])).
% 222.01/222.11  cnf(2688,plain,
% 222.01/222.11     (E(f9(a2,a1),f9(f9(f9(a1,a1),a1),f9(f9(a1,a1),a1)))),
% 222.01/222.11     inference(scs_inference,[],[464,2244,2144,2386,2330,2212,466,2557,2597,2512,611,2609,2553,1397,57,2680,89,522,968,1521,96,22,2676,37,5,31,30,10,7,83,8,6,9,4,32,1905,41,42,2,43,33,12,34,35,14,3,13,15,38])).
% 222.01/222.11  cnf(2693,plain,
% 222.01/222.11     (~E(f9(x26931,f9(x26932,a7)),f9(f9(f9(a8,a1),f9(a8,a1)),f9(f9(a8,a1),f9(a8,a1))))),
% 222.01/222.11     inference(scs_inference,[],[464,2244,2144,2386,2330,2212,466,2557,2597,2512,611,2609,2553,1397,57,2680,89,522,968,1521,96,22,2676,37,5,31,30,10,7,83,8,6,9,4,32,1905,41,42,2,43,33,12,34,35,14,3,13,15,38,36])).
% 222.01/222.11  cnf(2699,plain,
% 222.01/222.11     (~P3(f3(f9(a8,a5),f9(a2,a7)),f9(a2,a7))),
% 222.01/222.11     inference(scs_inference,[],[2151,37])).
% 222.01/222.11  cnf(2701,plain,
% 222.01/222.11     (E(f9(x27011,f9(a2,a2)),f9(x27011,f9(f9(a2,a1),f9(a2,a1))))),
% 222.01/222.11     inference(scs_inference,[],[2151,2585,37,5])).
% 222.01/222.11  cnf(2708,plain,
% 222.01/222.11     (E(f4(x27081,f9(a2,a2),x27082),f4(x27081,f9(f9(a2,a1),f9(a2,a1)),x27082))),
% 222.01/222.11     inference(scs_inference,[],[2151,2585,630,2663,37,5,29,31,30,7])).
% 222.01/222.11  cnf(2709,plain,
% 222.01/222.11     (E(f3(x27091,f9(a2,a2)),f3(x27091,f9(f9(a2,a1),f9(a2,a1))))),
% 222.01/222.11     inference(scs_inference,[],[2151,2585,630,2663,37,5,29,31,30,7,10])).
% 222.01/222.11  cnf(2712,plain,
% 222.01/222.11     (E(f4(x27121,x27122,f9(a2,a2)),f4(x27121,x27122,f9(f9(a2,a1),f9(a2,a1))))),
% 222.01/222.11     inference(scs_inference,[],[2151,2585,630,2663,46,37,5,29,31,30,7,10,83,8])).
% 222.01/222.11  cnf(2713,plain,
% 222.01/222.11     (E(f4(f9(a2,a2),x27131,x27132),f4(f9(f9(a2,a1),f9(a2,a1)),x27131,x27132))),
% 222.01/222.11     inference(scs_inference,[],[2151,2585,630,2663,46,37,5,29,31,30,7,10,83,8,6])).
% 222.01/222.11  cnf(2716,plain,
% 222.01/222.11     (P3(f3(f9(a8,a5),f9(a2,a7)),f9(a8,a5))),
% 222.01/222.11     inference(scs_inference,[],[2151,2585,630,2663,46,37,5,29,31,30,7,10,83,8,6,9,4,32])).
% 222.01/222.11  cnf(2718,plain,
% 222.01/222.11     (~P3(f9(f4(a5,a8,a8),f4(a5,a8,a8)),f9(a8,a1))),
% 222.01/222.11     inference(scs_inference,[],[2151,2585,630,2675,2663,46,37,5,29,31,30,7,10,83,8,6,9,4,32,41])).
% 222.01/222.11  cnf(2720,plain,
% 222.01/222.11     (~P3(f3(f9(a5,a8),f9(a7,a2)),a7)),
% 222.01/222.11     inference(scs_inference,[],[2151,2648,2585,630,2675,2663,46,37,5,29,31,30,7,10,83,8,6,9,4,32,41,42])).
% 222.01/222.11  cnf(2723,plain,
% 222.01/222.11     (P3(f4(a1,a1,f9(a7,f9(f9(a1,a1),a1))),a7)),
% 222.01/222.11     inference(scs_inference,[],[2151,2648,2585,2517,630,2675,2663,846,57,46,37,5,29,31,30,7,10,83,8,6,9,4,32,41,42,2,43])).
% 222.01/222.11  cnf(2725,plain,
% 222.01/222.11     (~P3(x27251,f9(f9(a1,a1),a1))),
% 222.01/222.11     inference(rename_variables,[],[57])).
% 222.01/222.11  cnf(2729,plain,
% 222.01/222.11     (~P3(f3(f9(f9(a5,a8),a1),f9(a7,a2)),f9(a7,a2))),
% 222.01/222.11     inference(scs_inference,[],[2151,2128,2255,2648,2585,2517,630,2675,2663,846,57,820,46,37,5,29,31,30,7,10,83,8,6,9,4,32,41,42,2,43,33,12])).
% 222.01/222.11  cnf(2731,plain,
% 222.01/222.11     (~E(f9(f9(a1,a1),a1),f9(x27311,a8))),
% 222.01/222.11     inference(scs_inference,[],[2151,2128,2255,2648,2585,2657,2517,630,2675,2663,846,57,2725,820,46,37,5,29,31,30,7,10,83,8,6,9,4,32,41,42,2,43,33,12,34])).
% 222.01/222.11  cnf(2732,plain,
% 222.01/222.11     (~P3(x27321,f9(f9(a1,a1),a1))),
% 222.01/222.11     inference(rename_variables,[],[57])).
% 222.01/222.11  cnf(2736,plain,
% 222.01/222.11     (~P2(f9(f9(a8,a5),a1),f9(a2,a7))),
% 222.01/222.11     inference(scs_inference,[],[2151,2128,2255,2648,2585,2657,2517,630,2675,2663,846,57,2725,820,46,20,37,5,29,31,30,7,10,83,8,6,9,4,32,41,42,2,43,33,12,34,35,14])).
% 222.01/222.11  cnf(2738,plain,
% 222.01/222.11     (~E(f9(f9(a2,a1),f9(a2,a1)),f9(x27381,a6))),
% 222.01/222.11     inference(scs_inference,[],[2151,2128,2483,2255,2648,2585,2657,2517,630,2675,2663,846,57,2725,820,46,20,37,5,29,31,30,7,10,83,8,6,9,4,32,41,42,2,43,33,12,34,35,14,3])).
% 222.01/222.11  cnf(2743,plain,
% 222.01/222.11     (E(f9(f9(a1,a1),a1),f9(f9(a2,a2),f9(f9(a1,a1),a1)))),
% 222.01/222.11     inference(scs_inference,[],[464,2151,2328,2128,2483,2255,2648,2585,2657,2517,630,2675,1096,2663,846,57,2725,2732,820,1904,1538,46,20,37,5,29,31,30,7,10,83,8,6,9,4,32,41,42,2,43,33,12,34,35,14,3,13,15,38])).
% 222.01/222.11  cnf(2753,plain,
% 222.01/222.11     (~P3(f3(f9(a5,a8),f9(a2,a7)),f9(a2,a7))),
% 222.01/222.11     inference(scs_inference,[],[2153,37])).
% 222.01/222.11  cnf(2755,plain,
% 222.01/222.11     (E(f9(x27551,f9(a2,a1)),f9(x27551,f9(f9(a2,a2),f9(a2,a2))))),
% 222.01/222.11     inference(scs_inference,[],[2153,2589,37,5])).
% 222.01/222.11  cnf(2767,plain,
% 222.01/222.11     (E(f9(f9(a2,a1),x27671),f9(f9(f9(a2,a2),f9(a2,a2)),x27671))),
% 222.01/222.11     inference(scs_inference,[],[2153,2716,2589,654,37,5,29,31,30,7,10,8,6,9,4])).
% 222.01/222.11  cnf(2768,plain,
% 222.01/222.11     (P3(f3(f9(a5,a8),f9(a2,a7)),f9(a5,a8))),
% 222.01/222.11     inference(scs_inference,[],[2153,2716,2589,654,37,5,29,31,30,7,10,8,6,9,4,32])).
% 222.01/222.11  cnf(2770,plain,
% 222.01/222.11     (~P3(f3(f9(a8,a5),f9(a2,a7)),a7)),
% 222.01/222.11     inference(scs_inference,[],[2153,2699,2716,2589,654,37,5,29,31,30,7,10,8,6,9,4,32,41])).
% 222.01/222.11  cnf(2772,plain,
% 222.01/222.11     (~P3(f9(f4(a5,a8,a8),f4(a5,a8,a8)),a8)),
% 222.01/222.11     inference(scs_inference,[],[2153,2699,2716,2718,2589,654,37,5,29,31,30,7,10,8,6,9,4,32,41,42])).
% 222.01/222.11  cnf(2783,plain,
% 222.01/222.11     (P2(f9(f9(a2,a2),f9(a1,a1)),x27831)),
% 222.01/222.11     inference(scs_inference,[],[2153,2665,2699,2716,2718,2731,2589,2615,654,1540,968,37,5,29,31,30,7,10,8,6,9,4,32,41,42,2,43,12,34,35,14])).
% 222.01/222.11  cnf(2789,plain,
% 222.01/222.11     (E(f9(f9(a1,a1),a1),f9(f9(f9(a1,a1),a1),f9(a1,a2)))),
% 222.01/222.11     inference(scs_inference,[],[2370,2153,2665,2699,2716,2718,2731,2520,2589,2615,654,2650,1540,2597,57,968,1868,22,37,5,29,31,30,7,10,8,6,9,4,32,41,42,2,43,12,34,35,14,3,13,15,38])).
% 222.01/222.11  cnf(2799,plain,
% 222.01/222.11     (~P3(f3(f9(a5,a8),f9(a1,a7)),f9(a1,a7))),
% 222.01/222.11     inference(scs_inference,[],[2346,37])).
% 222.01/222.11  cnf(2803,plain,
% 222.01/222.11     (E(f9(x28031,f9(a2,a1)),f9(x28031,f9(f9(a2,a1),f9(a2,a2))))),
% 222.01/222.11     inference(scs_inference,[],[2346,2643,2723,37,29,5])).
% 222.01/222.11  cnf(2813,plain,
% 222.01/222.11     (E(f9(f9(a2,a1),x28131),f9(f9(f9(a2,a1),f9(a2,a2)),x28131))),
% 222.01/222.11     inference(scs_inference,[],[2346,2643,671,2723,37,29,5,31,30,7,10,8,6,9,4])).
% 222.01/222.11  cnf(2814,plain,
% 222.01/222.11     (P3(f3(f9(a5,a8),f9(a1,a7)),f9(a5,a8))),
% 222.01/222.11     inference(scs_inference,[],[2346,2643,671,2723,37,29,5,31,30,7,10,8,6,9,4,32])).
% 222.01/222.11  cnf(2823,plain,
% 222.01/222.11     (~P3(x28231,f9(f9(a1,a1),a1))),
% 222.01/222.11     inference(rename_variables,[],[57])).
% 222.01/222.11  cnf(2826,plain,
% 222.01/222.11     (E(f3(f9(x28261,a1),x28262),f3(x28261,x28262))),
% 222.01/222.11     inference(rename_variables,[],[820])).
% 222.01/222.11  cnf(2828,plain,
% 222.01/222.11     (~P3(x28281,f9(f9(a1,a1),a1))),
% 222.01/222.11     inference(rename_variables,[],[57])).
% 222.01/222.11  cnf(2839,plain,
% 222.01/222.11     (E(f9(f9(a1,a1),a1),f9(f9(a2,a1),f9(f9(a1,a1),a1)))),
% 222.01/222.11     inference(scs_inference,[],[2357,2346,2673,2753,2736,2738,2643,671,2729,2723,2768,864,820,2826,57,2823,2828,1904,1521,20,37,29,5,31,30,7,10,8,6,9,4,32,41,42,2,43,12,34,35,14,3,13,15,38])).
% 222.01/222.11  cnf(2846,plain,
% 222.01/222.11     (~P3(x28461,f9(f9(a2,a1),f9(a2,a1)))),
% 222.01/222.11     inference(scs_inference,[],[1514,22,28,13])).
% 222.01/222.11  cnf(2862,plain,
% 222.01/222.11     (E(x28621,f9(x28621,a1))),
% 222.01/222.11     inference(rename_variables,[],[96])).
% 222.01/222.11  cnf(2864,plain,
% 222.01/222.11     (~P3(x28641,a1)),
% 222.01/222.11     inference(rename_variables,[],[44])).
% 222.01/222.11  cnf(2867,plain,
% 222.01/222.11     (P2(f9(f3(a1,a1),a1),f3(a2,a2))),
% 222.01/222.11     inference(scs_inference,[],[44,96,2862,1901,57,2716,2768,2045,563,2772,2684,2220,2677,2,42,41,1905,32,83,5,29,15,13,3,14])).
% 222.01/222.11  cnf(2869,plain,
% 222.01/222.11     (~P3(x28691,f9(f9(a2,a2),f9(a2,a2)))),
% 222.01/222.11     inference(scs_inference,[],[44,96,2862,1901,57,2716,2768,2045,563,2767,2772,2846,2684,2220,2677,2,42,41,1905,32,83,5,29,15,13,3,14,35])).
% 222.01/222.11  cnf(2875,plain,
% 222.01/222.11     (~E(f4(a5,a8,a5),f3(f9(a5,a8),f9(a7,a2)))),
% 222.01/222.11     inference(scs_inference,[],[44,96,2862,70,1901,57,2716,2768,2045,563,2767,2803,1530,2772,2846,2684,2720,2220,2677,2,42,41,1905,32,83,5,29,15,13,3,14,35,34,12])).
% 222.01/222.11  cnf(2876,plain,
% 222.01/222.11     (P1(f9(a1,a2))),
% 222.01/222.11     inference(scs_inference,[],[23,1514,44,96,2862,70,1901,57,2716,2768,2045,563,2767,2803,1530,2772,2846,2684,2720,2220,2677,2,42,41,1905,32,83,5,29,15,13,3,14,35,34,12,11])).
% 222.01/222.11  cnf(2884,plain,
% 222.01/222.11     (P3(f4(a1,a2,a6),a6)),
% 222.01/222.11     inference(scs_inference,[],[122,20,23,1514,44,2864,96,2862,92,70,1868,1901,57,2716,2768,2292,2045,563,2767,2803,1530,2772,2846,2684,2720,2220,2677,2,42,41,1905,32,83,5,29,15,13,3,14,35,34,12,11,43,36,38])).
% 222.01/222.11  cnf(2888,plain,
% 222.01/222.11     (~P3(f4(a8,x28881,f9(a5,a5)),x28881)+~P3(f4(a8,x28881,f9(a5,a5)),f9(a5,a5))),
% 222.01/222.11     inference(scs_inference,[],[122,20,23,1514,44,2864,96,2862,92,70,1868,1901,57,2716,2768,2292,2027,2045,563,2767,2803,1530,2772,2846,2684,2720,2220,2677,2,42,41,1905,32,83,5,29,15,13,3,14,35,34,12,11,43,36,38,39])).
% 222.01/222.11  cnf(2893,plain,
% 222.01/222.11     (P3(f4(a8,f9(a5,a5),f9(a5,a5)),a8)),
% 222.01/222.11     inference(scs_inference,[],[2027,2888,38])).
% 222.01/222.11  cnf(2899,plain,
% 222.01/222.11     (P2(f9(f9(a2,a1),f9(a2,a1)),x28991)),
% 222.01/222.11     inference(scs_inference,[],[1904,2768,2846,2,42,41,32])).
% 222.01/222.11  cnf(2900,plain,
% 222.01/222.11     (~P3(x29001,f9(f9(a2,a1),f9(a2,a1)))),
% 222.01/222.11     inference(rename_variables,[],[2846])).
% 222.01/222.11  cnf(2907,plain,
% 222.01/222.11     (E(x29071,f9(x29071,a1))),
% 222.01/222.11     inference(rename_variables,[],[96])).
% 222.01/222.11  cnf(2909,plain,
% 222.01/222.11     (~P3(x29091,a1)),
% 222.01/222.11     inference(rename_variables,[],[44])).
% 222.01/222.11  cnf(2913,plain,
% 222.01/222.11     (E(x29131,f9(x29131,a1))),
% 222.01/222.11     inference(rename_variables,[],[96])).
% 222.01/222.11  cnf(2914,plain,
% 222.01/222.11     (~P3(f4(a8,f9(a5,a5),f9(a5,a5)),f9(a5,a5))),
% 222.01/222.11     inference(scs_inference,[],[44,96,2907,1904,1900,2768,2027,1956,565,2846,2220,2814,2893,2693,2,42,41,32,5,29,15,13,3,14,40])).
% 222.01/222.11  cnf(2917,plain,
% 222.01/222.11     (~P3(x29171,f9(f9(a2,a1),f9(a2,a2)))),
% 222.01/222.11     inference(scs_inference,[],[44,96,2907,1904,1900,2768,2027,1956,565,2846,2900,2220,2813,2814,2893,2693,2,42,41,32,5,29,15,13,3,14,40,35])).
% 222.01/222.11  cnf(2937,plain,
% 222.01/222.11     (~P3(x29371,f9(f9(a2,a1),a1))),
% 222.01/222.11     inference(scs_inference,[],[122,1514,44,2909,96,2907,2913,161,1538,19,1904,1900,57,2768,2027,1956,2035,565,2767,2846,2900,2720,2220,2813,2814,2893,2869,2693,2,42,41,32,5,29,15,13,3,14,40,35,12,11,33,43,36,38,28])).
% 222.01/222.11  cnf(2946,plain,
% 222.01/222.11     (P3(f4(a5,a8,a8),f9(x29461,f9(x29462,f9(x29463,a7))))),
% 222.01/222.11     inference(scs_inference,[],[1900,522,2,42,41])).
% 222.01/222.11  cnf(2948,plain,
% 222.01/222.11     (P2(f9(f9(a2,a1),f9(a2,a2)),x29481)),
% 222.01/222.11     inference(scs_inference,[],[1900,522,2917,2,42,41,32])).
% 222.01/222.11  cnf(2954,plain,
% 222.01/222.11     (E(x29541,f9(x29541,a1))),
% 222.01/222.11     inference(rename_variables,[],[96])).
% 222.01/222.11  cnf(2958,plain,
% 222.01/222.11     (P2(f9(f3(a1,a2),a1),f3(a2,a1))),
% 222.01/222.11     inference(scs_inference,[],[122,22,96,2954,1900,2643,522,2893,1912,2917,2,42,41,32,29,15,13,3,14])).
% 222.01/222.11  cnf(2961,plain,
% 222.01/222.11     (P1(f9(f9(a2,a1),f9(a2,a1)))),
% 222.01/222.11     inference(scs_inference,[],[122,22,1514,96,2954,46,120,1900,2643,522,2893,2720,1912,2917,2,42,41,32,29,15,13,3,14,12,11])).
% 222.01/222.11  cnf(2993,plain,
% 222.01/222.11     (E(x29931,f9(x29931,a1))),
% 222.01/222.11     inference(rename_variables,[],[96])).
% 222.01/222.11  cnf(2997,plain,
% 222.01/222.11     (P2(f9(f4(a1,a1,a1),a1),f4(a2,a2,a2))),
% 222.01/222.11     inference(scs_inference,[],[122,22,96,2993,1903,819,475,322,2004,2884,2946,2937,2,42,41,32,29,15,13,3,14])).
% 222.01/222.11  cnf(3000,plain,
% 222.01/222.11     (P1(f9(f9(a2,a1),f9(a2,a2)))),
% 222.01/222.11     inference(scs_inference,[],[122,22,1514,96,2993,276,1903,2643,819,475,2720,322,2004,2884,2946,2937,2,42,41,32,29,15,13,3,14,12,11])).
% 222.01/222.11  cnf(3003,plain,
% 222.01/222.11     (P3(f4(a1,a6,a1),a6)),
% 222.01/222.11     inference(scs_inference,[],[122,22,1514,44,96,2993,276,1903,2643,819,2171,475,2720,1971,322,2004,2884,2946,2937,2,42,41,32,29,15,13,3,14,12,11,43,38])).
% 222.01/222.11  cnf(3018,plain,
% 222.01/222.11     (P3(f4(a8,a5,a5),f9(x30181,f9(f9(x30182,a8),x30183)))),
% 222.01/222.11     inference(scs_inference,[],[2643,376,2,42,41])).
% 222.01/222.11  cnf(3023,plain,
% 222.01/222.11     (E(x30231,f9(x30231,a1))),
% 222.01/222.11     inference(rename_variables,[],[96])).
% 222.01/222.11  cnf(3026,plain,
% 222.01/222.11     (E(f9(f3(x30261,a2),f3(x30261,a2)),f3(x30261,a1))),
% 222.01/222.11     inference(scs_inference,[],[44,22,96,2643,1899,376,2004,2946,2,42,41,29,15,13,3])).
% 222.01/222.11  cnf(3028,plain,
% 222.01/222.11     (P2(f9(f3(a2,a2),a1),f3(a1,a1))),
% 222.01/222.11     inference(scs_inference,[],[44,22,96,3023,2643,1899,376,2004,2946,2314,2,42,41,29,15,13,3,14])).
% 222.01/222.11  cnf(3031,plain,
% 222.01/222.11     (P1(f9(f9(a2,a2),f9(a2,a2)))),
% 222.01/222.11     inference(scs_inference,[],[44,22,1514,96,3023,2643,2589,223,1899,2720,376,2004,2946,2314,2,42,41,29,15,13,3,14,12,11])).
% 222.01/222.11  cnf(3057,plain,
% 222.01/222.11     (E(x30571,f9(x30571,a1))),
% 222.01/222.11     inference(rename_variables,[],[96])).
% 222.01/222.11  cnf(3059,plain,
% 222.01/222.11     (~P3(x30591,a1)),
% 222.01/222.11     inference(rename_variables,[],[44])).
% 222.01/222.11  cnf(3060,plain,
% 222.01/222.11     (E(f9(f4(x30601,x30602,a2),f4(x30601,x30602,a2)),f4(x30601,x30602,a1))),
% 222.01/222.11     inference(scs_inference,[],[44,22,96,2585,1902,583,2314,3003,3018,2,42,41,29,15,13,3])).
% 222.01/222.11  cnf(3062,plain,
% 222.01/222.11     (P2(f9(f3(a2,a1),a1),f3(a1,a1))),
% 222.01/222.11     inference(scs_inference,[],[44,22,96,3057,2585,1902,583,2314,2328,3003,3018,2,42,41,29,15,13,3,14])).
% 222.01/222.11  cnf(3064,plain,
% 222.01/222.11     (~E(f4(a5,a8,a5),f3(f9(a8,a5),f9(a2,a7)))),
% 222.01/222.11     inference(scs_inference,[],[44,22,96,3057,2585,85,2699,1902,583,2314,2328,3003,3018,2,42,41,29,15,13,3,14,12])).
% 222.01/222.11  cnf(3070,plain,
% 222.01/222.11     (~P3(f3(f9(a5,a8),f9(a7,a2)),f9(a7,a7))),
% 222.01/222.11     inference(scs_inference,[],[44,22,96,3057,16,2585,85,2699,1902,2720,583,2314,2767,2328,3003,3018,3000,2,42,41,29,15,13,3,14,12,11,27,43])).
% 222.01/222.11  cnf(3083,plain,
% 222.01/222.11     (P3(f4(a5,a1,a1),a7)),
% 222.01/222.11     inference(scs_inference,[],[18,44,3059,22,96,3057,16,2585,85,2699,1902,2720,583,2314,1999,2767,2293,2328,3003,3018,3000,2,42,41,29,15,13,3,14,12,11,27,43,38,28,32,39,33])).
% 222.01/222.11  cnf(3092,plain,
% 222.01/222.11     (P3(f4(a1,a1,a8),f9(f9(f9(a8,x30921),x30922),x30923))),
% 222.01/222.11     inference(scs_inference,[],[2589,607,3018,41,2,29,42])).
% 222.01/222.11  cnf(3094,plain,
% 222.01/222.11     (P2(f9(f4(a2,a1,a1),a1),f4(a1,a1,a1))),
% 222.01/222.11     inference(scs_inference,[],[96,2589,607,3018,2128,41,2,29,42,14])).
% 222.01/222.11  cnf(3095,plain,
% 222.01/222.11     (E(x30951,f9(x30951,a1))),
% 222.01/222.11     inference(rename_variables,[],[96])).
% 222.01/222.11  cnf(3105,plain,
% 222.01/222.11     (~P3(x31051,a1)),
% 222.01/222.11     inference(rename_variables,[],[44])).
% 222.01/222.11  cnf(3106,plain,
% 222.01/222.11     (~E(f4(a5,a8,a5),f3(f9(f9(a5,a8),a1),f9(f9(a7,a2),a1)))),
% 222.01/222.11     inference(scs_inference,[],[44,96,3095,2589,2699,167,1090,2753,607,2328,3018,2128,2662,2875,3031,41,2,29,42,14,12,11,15,43,13,3])).
% 222.01/222.11  cnf(3117,plain,
% 222.01/222.11     (P2(f9(f9(a1,a1),f9(a2,a2)),x31171)),
% 222.01/222.11     inference(scs_inference,[],[44,3105,96,3095,92,2589,2699,167,1090,2753,607,2328,2459,3018,2128,2662,2875,3031,41,2,29,42,14,12,11,15,43,13,3,38,26,28,32])).
% 222.01/222.11  cnf(3129,plain,
% 222.01/222.11     (E(f3(x31291,a1),f3(x31291,a2))),
% 222.01/222.11     inference(scs_inference,[],[1899,624,41,2])).
% 222.01/222.12  cnf(3134,plain,
% 222.01/222.12     (P2(f9(f3(a2,a1),a1),f3(a1,a2))),
% 222.01/222.12     inference(scs_inference,[],[96,1899,624,2330,3083,41,2,29,42,14])).
% 222.01/222.12  cnf(3135,plain,
% 222.01/222.12     (E(x31351,f9(x31351,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(3141,plain,
% 222.01/222.12     (E(x31411,f9(x31411,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(3145,plain,
% 222.01/222.12     (~P3(x31451,a1)),
% 222.01/222.12     inference(rename_variables,[],[44])).
% 222.01/222.12  cnf(3157,plain,
% 222.01/222.12     (P2(f9(f9(f9(a2,a1),f9(a2,a2)),f9(a2,a2)),x31571)),
% 222.01/222.12     inference(scs_inference,[],[44,3145,96,3135,3141,1521,2643,2699,1899,128,624,2267,2128,1895,2330,3000,2813,3083,3092,41,2,29,42,14,12,11,15,43,13,3,38,26,28,32])).
% 222.01/222.12  cnf(3168,plain,
% 222.01/222.12     (P3(f3(f9(a5,a8),f9(a7,a2)),f9(x31681,f9(a5,a8)))),
% 222.01/222.12     inference(scs_inference,[],[2386,2663,2,41])).
% 222.01/222.12  cnf(3174,plain,
% 222.01/222.12     (P2(f9(f4(a2,a2,a1),a1),f4(a1,a1,a1))),
% 222.01/222.12     inference(scs_inference,[],[96,2386,2663,3092,2091,2,41,29,42,14])).
% 222.01/222.12  cnf(3199,plain,
% 222.01/222.12     (E(f4(x31991,x31992,a1),f4(x31991,x31992,a2))),
% 222.01/222.12     inference(scs_inference,[],[1902,2])).
% 222.01/222.12  cnf(3200,plain,
% 222.01/222.12     (P3(f4(a8,f9(a5,a5),f9(a5,a5)),f9(x32001,a8))),
% 222.01/222.12     inference(scs_inference,[],[1902,2893,2,41])).
% 222.01/222.12  cnf(3202,plain,
% 222.01/222.12     (P3(f4(a8,f9(a5,a5),f9(a5,a5)),f9(a8,x32021))),
% 222.01/222.12     inference(scs_inference,[],[1902,2893,2,41,42])).
% 222.01/222.12  cnf(3207,plain,
% 222.01/222.12     (E(x32071,f9(x32071,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(3213,plain,
% 222.01/222.12     (E(x32131,f9(x32131,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(3225,plain,
% 222.01/222.12     (P2(f9(f9(a2,a1),f9(a1,a1)),x32251)),
% 222.01/222.12     inference(scs_inference,[],[44,96,3207,3213,22,1538,2716,1902,1898,2273,2893,2091,3000,1992,2084,2650,3168,2,41,42,29,14,3,11,15,12,43,38,28,32])).
% 222.01/222.12  cnf(3229,plain,
% 222.01/222.12     (P3(f4(a1,a5,f9(a2,a2)),a7)),
% 222.01/222.12     inference(scs_inference,[],[44,96,3207,3213,22,1538,18,2716,1902,1898,2273,2893,2091,3000,1992,2084,1877,2650,3168,2,41,42,29,14,3,11,15,12,43,38,28,32,39,33])).
% 222.01/222.12  cnf(3235,plain,
% 222.01/222.12     (E(f3(a1,x32351),f3(a2,x32351))),
% 222.01/222.12     inference(scs_inference,[],[1898,2])).
% 222.01/222.12  cnf(3238,plain,
% 222.01/222.12     (P3(f4(a8,a5,a5),f9(f9(x32381,f9(a7,x32382)),x32383))),
% 222.01/222.12     inference(scs_inference,[],[1898,563,2,41,42])).
% 222.01/222.12  cnf(3243,plain,
% 222.01/222.12     (E(x32431,f9(x32431,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(3249,plain,
% 222.01/222.12     (E(x32491,f9(x32491,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(3250,plain,
% 222.01/222.12     (P3(f9(f3(f9(a5,a8),f9(a2,a7)),a1),f9(a5,a8))),
% 222.01/222.12     inference(scs_inference,[],[96,3243,3249,2768,1090,1898,563,3106,2084,1906,2803,3200,2961,2,41,42,29,14,11,3,15,12])).
% 222.01/222.12  cnf(3271,plain,
% 222.01/222.12     (E(f4(a1,a1,a1),f4(a2,a2,a2))),
% 222.01/222.12     inference(scs_inference,[],[1989,2])).
% 222.01/222.12  cnf(3272,plain,
% 222.01/222.12     (P3(f4(a8,a5,a5),f9(x32721,f9(f9(a7,x32722),x32723)))),
% 222.01/222.12     inference(scs_inference,[],[1989,565,2,41])).
% 222.01/222.12  cnf(3274,plain,
% 222.01/222.12     (P3(f4(a8,a5,a5),f9(f9(f9(a7,x32741),x32742),x32743))),
% 222.01/222.12     inference(scs_inference,[],[1989,565,2,41,42])).
% 222.01/222.12  cnf(3308,plain,
% 222.01/222.12     (P3(f4(a5,a8,a5),f9(x33081,f9(x33082,f9(a8,x33083))))),
% 222.01/222.12     inference(scs_inference,[],[2036,572,2,41])).
% 222.01/222.12  cnf(3310,plain,
% 222.01/222.12     (P3(f4(a5,a8,a5),f9(f9(x33101,f9(a8,x33102)),x33103))),
% 222.01/222.12     inference(scs_inference,[],[2036,572,2,41,42])).
% 222.01/222.12  cnf(3314,plain,
% 222.01/222.12     (P2(f9(f4(a1,a2,a1),a1),f4(a1,a1,a1))),
% 222.01/222.12     inference(scs_inference,[],[96,2036,572,3238,2002,2,41,42,29,14])).
% 222.01/222.12  cnf(3315,plain,
% 222.01/222.12     (E(x33151,f9(x33151,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(3316,plain,
% 222.01/222.12     (E(f9(f4(a2,a2,a2),f4(a2,a2,a2)),f4(a1,a1,a1))),
% 222.01/222.12     inference(scs_inference,[],[96,22,1989,2036,572,3238,2002,2,41,42,29,14,3])).
% 222.01/222.12  cnf(3319,plain,
% 222.01/222.12     (E(x33191,f9(x33191,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(3321,plain,
% 222.01/222.12     (P3(f9(f3(f9(a5,a8),f9(a7,a2)),a1),f9(a5,a8))),
% 222.01/222.12     inference(scs_inference,[],[96,3315,3319,22,1528,2663,1989,2036,572,2312,3238,2002,2644,2,41,42,29,14,3,15,11,12])).
% 222.01/222.12  cnf(3342,plain,
% 222.01/222.12     (E(f4(a1,x33421,a1),f4(a2,x33421,a2))),
% 222.01/222.12     inference(scs_inference,[],[1938,2])).
% 222.01/222.12  cnf(3343,plain,
% 222.01/222.12     (P3(f4(a8,a5,a5),f9(x33431,f9(f9(x33432,f9(a7,x33433)),x33434)))),
% 222.01/222.12     inference(scs_inference,[],[1938,3238,2,41])).
% 222.01/222.12  cnf(3345,plain,
% 222.01/222.12     (P3(f4(a8,a5,a5),f9(f9(f9(x33451,f9(a7,x33452)),x33453),x33454))),
% 222.01/222.12     inference(scs_inference,[],[1938,3238,2,41,42])).
% 222.01/222.12  cnf(3349,plain,
% 222.01/222.12     (P2(f9(f4(x33491,a1,a1),a1),f4(x33491,a2,a2))),
% 222.01/222.12     inference(scs_inference,[],[96,1938,3238,3272,2104,2,41,42,29,14])).
% 222.01/222.12  cnf(3350,plain,
% 222.01/222.12     (E(x33501,f9(x33501,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(3351,plain,
% 222.01/222.12     (E(f9(f3(a2,a2),f3(a2,a2)),f3(a1,a1))),
% 222.01/222.12     inference(scs_inference,[],[96,22,2036,1938,3238,3272,2104,2,41,42,29,14,3])).
% 222.01/222.12  cnf(3358,plain,
% 222.01/222.12     (~P3(x33581,a1)),
% 222.01/222.12     inference(rename_variables,[],[44])).
% 222.01/222.12  cnf(3372,plain,
% 222.01/222.12     (P3(f4(a8,a1,f9(a2,a1)),a7)),
% 222.01/222.12     inference(scs_inference,[],[19,122,44,3358,96,3350,22,1514,1521,2893,2036,1938,2212,3238,2002,2015,3272,2104,3274,3064,2613,2,41,42,29,14,3,11,15,12,13,43,38,28,32,27,33])).
% 222.01/222.12  cnf(3378,plain,
% 222.01/222.12     (E(f4(x33781,a1,a1),f4(x33781,a2,a2))),
% 222.01/222.12     inference(scs_inference,[],[1968,2])).
% 222.01/222.12  cnf(3379,plain,
% 222.01/222.12     (P3(f4(a8,a5,a5),f9(x33791,f9(x33792,f9(f9(a7,x33793),x33794))))),
% 222.01/222.12     inference(scs_inference,[],[1968,3272,2,41])).
% 222.01/222.12  cnf(3381,plain,
% 222.01/222.12     (P3(f4(a8,a5,a5),f9(f9(x33811,f9(f9(a7,x33812),x33813)),x33814))),
% 222.01/222.12     inference(scs_inference,[],[1968,3272,2,41,42])).
% 222.01/222.12  cnf(3385,plain,
% 222.01/222.12     (P2(f9(f9(f3(a1,a1),a1),a1),f3(a2,a2))),
% 222.01/222.12     inference(scs_inference,[],[96,1968,3272,3274,2867,2,41,42,29,14])).
% 222.01/222.12  cnf(3386,plain,
% 222.01/222.12     (E(x33861,f9(x33861,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(3391,plain,
% 222.01/222.12     (E(x33911,f9(x33911,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(3395,plain,
% 222.01/222.12     (~P3(x33951,a1)),
% 222.01/222.12     inference(rename_variables,[],[44])).
% 222.01/222.12  cnf(3400,plain,
% 222.01/222.12     (P3(f4(a1,a1,a6),a6)),
% 222.01/222.12     inference(scs_inference,[],[44,3395,96,3386,3391,22,16,107,3238,1938,1968,1961,3272,2104,3274,2157,3308,2867,2593,2,41,42,29,14,11,3,15,12,13,43,27,38])).
% 222.01/222.12  cnf(3414,plain,
% 222.01/222.12     (E(f9(f9(f9(a2,a2),f9(a2,a2)),x34141),f9(f9(a2,a1),x34141))),
% 222.01/222.12     inference(scs_inference,[],[2767,2])).
% 222.01/222.12  cnf(3421,plain,
% 222.01/222.12     (P2(f9(f9(f4(a1,a1,a1),a1),a1),f4(a2,a2,a2))),
% 222.01/222.12     inference(scs_inference,[],[96,2767,3274,3308,2997,2,41,42,29,14])).
% 222.01/222.12  cnf(3460,plain,
% 222.01/222.12     (P2(f9(f9(f3(a2,a2),a1),a1),f3(a1,a1))),
% 222.01/222.12     inference(scs_inference,[],[96,3308,1882,3310,3028,2,41,42,29,14])).
% 222.01/222.12  cnf(3461,plain,
% 222.01/222.12     (E(x34611,f9(x34611,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(3462,plain,
% 222.01/222.12     (P1(f9(a1,f9(a1,a2)))),
% 222.01/222.12     inference(scs_inference,[],[96,3308,1882,3310,2876,3028,2608,2,41,42,29,14,11])).
% 222.01/222.12  cnf(3466,plain,
% 222.01/222.12     (E(x34661,f9(x34661,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(3468,plain,
% 222.01/222.12     (~P3(x34681,a1)),
% 222.01/222.12     inference(rename_variables,[],[44])).
% 222.01/222.12  cnf(3484,plain,
% 222.01/222.12     (P3(f4(a1,a1,a5),a7)),
% 222.01/222.12     inference(scs_inference,[],[44,3468,96,3461,3466,16,18,3274,3106,820,3308,2298,1882,113,3310,2224,2021,2876,3343,3028,2608,2,41,42,29,14,11,3,15,13,12,43,27,38,28,32,40,33])).
% 222.01/222.12  cnf(3492,plain,
% 222.01/222.12     (E(f9(f9(a1,a1),x34921),f9(f9(a2,a2),x34921))),
% 222.01/222.12     inference(scs_inference,[],[2662,2])).
% 222.01/222.12  cnf(3493,plain,
% 222.01/222.12     (P3(f4(a5,a8,a5),f9(f9(f9(x34931,f9(a8,x34932)),x34933),x34934))),
% 222.01/222.12     inference(scs_inference,[],[3310,2662,2,42])).
% 222.01/222.12  cnf(3495,plain,
% 222.01/222.12     (P3(f4(a5,a8,a5),f9(x34951,f9(f9(x34952,f9(a8,x34953)),x34954)))),
% 222.01/222.12     inference(scs_inference,[],[3310,2662,2,42,41])).
% 222.01/222.12  cnf(3500,plain,
% 222.01/222.12     (E(x35001,f9(x35001,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(3508,plain,
% 222.01/222.12     (~P3(x35081,a1)),
% 222.01/222.12     inference(rename_variables,[],[44])).
% 222.01/222.12  cnf(3510,plain,
% 222.01/222.12     (~P3(x35101,f9(a1,f9(a1,a1)))),
% 222.01/222.12     inference(scs_inference,[],[44,3508,96,3500,51,2720,3106,3000,190,967,3310,2946,2662,151,3343,3062,2701,2,42,41,29,14,3,11,15,13,12,43])).
% 222.01/222.12  cnf(3515,plain,
% 222.01/222.12     (~P3(x35151,a1)),
% 222.01/222.12     inference(rename_variables,[],[44])).
% 222.01/222.12  cnf(3521,plain,
% 222.01/222.12     (~P3(x35211,f9(f9(a2,a1),f9(f9(a2,a1),f9(a2,a1))))),
% 222.01/222.12     inference(scs_inference,[],[44,3508,3515,96,3500,22,92,51,2720,3106,3000,190,967,3310,2946,2662,151,3343,1857,3062,2701,2,42,41,29,14,3,11,15,13,12,43,38,36,28])).
% 222.01/222.12  cnf(3533,plain,
% 222.01/222.12     (E(f9(f9(f9(a2,a1),f9(a2,a2)),x35331),f9(f9(a2,a1),x35331))),
% 222.01/222.12     inference(scs_inference,[],[2813,2])).
% 222.01/222.12  cnf(3534,plain,
% 222.01/222.12     (P3(f4(a5,a8,a8),f9(x35341,f9(x35342,f9(x35343,f9(x35344,a7)))))),
% 222.01/222.12     inference(scs_inference,[],[2946,2813,2,41])).
% 222.01/222.12  cnf(3536,plain,
% 222.01/222.12     (P3(f4(a5,a8,a8),f9(f9(x35361,f9(x35362,f9(x35363,a7))),x35364))),
% 222.01/222.12     inference(scs_inference,[],[2946,2813,2,41,42])).
% 222.01/222.12  cnf(3543,plain,
% 222.01/222.12     (P2(f9(f9(f3(a2,a1),a1),a1),f3(a1,a2))),
% 222.01/222.12     inference(scs_inference,[],[96,2946,2813,3250,3510,3134,2,41,42,32,29,14])).
% 222.01/222.12  cnf(3544,plain,
% 222.01/222.12     (E(x35441,f9(x35441,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(3546,plain,
% 222.01/222.12     (E(x35461,f9(x35461,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(3554,plain,
% 222.01/222.12     (~P3(x35541,a1)),
% 222.01/222.12     inference(rename_variables,[],[44])).
% 222.01/222.12  cnf(3561,plain,
% 222.01/222.12     (~P3(x35611,a1)),
% 222.01/222.12     inference(rename_variables,[],[44])).
% 222.01/222.12  cnf(3563,plain,
% 222.01/222.12     (~P3(x35631,f9(f9(a2,a2),a1))),
% 222.01/222.12     inference(scs_inference,[],[44,3554,3561,96,3544,3546,22,51,57,2946,2662,706,2813,2867,2016,2961,2644,3250,3510,3134,2755,2,41,42,32,29,14,15,11,3,12,13,43,38,36])).
% 222.01/222.12  cnf(3567,plain,
% 222.01/222.12     (~P3(x35671,f9(f9(a2,a1),f9(f9(a2,a2),f9(a2,a2))))),
% 222.01/222.12     inference(scs_inference,[],[44,3554,3561,96,3544,3546,22,51,57,2946,2662,706,2813,2867,2016,2961,2644,3250,3510,3134,2755,2,41,42,32,29,14,15,11,3,12,13,43,38,36,28])).
% 222.01/222.12  cnf(3571,plain,
% 222.01/222.12     (P3(f4(a1,a5,a1),a7)),
% 222.01/222.12     inference(scs_inference,[],[44,3554,3561,96,3544,3546,22,51,18,57,2946,2662,706,2813,2867,2098,2016,2961,2644,3250,3510,3134,2755,2,41,42,32,29,14,15,11,3,12,13,43,38,36,28,40,33])).
% 222.01/222.12  cnf(3579,plain,
% 222.01/222.12     (P3(f4(a5,a8,a8),f9(f9(x35791,f9(a5,x35792)),x35793))),
% 222.01/222.12     inference(scs_inference,[],[706,2650,2,42])).
% 222.01/222.12  cnf(3581,plain,
% 222.01/222.12     (P3(f4(a5,a8,a8),f9(x35811,f9(x35812,f9(a5,x35813))))),
% 222.01/222.12     inference(scs_inference,[],[706,2650,2,42,41])).
% 222.01/222.12  cnf(3588,plain,
% 222.01/222.12     (P2(f9(f9(f3(a1,a2),a1),a1),f3(a2,a1))),
% 222.01/222.12     inference(scs_inference,[],[96,706,2650,3321,3563,2958,2,42,41,32,29,14])).
% 222.01/222.12  cnf(3589,plain,
% 222.01/222.12     (E(x35891,f9(x35891,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(3591,plain,
% 222.01/222.12     (~P3(x35911,a1)),
% 222.01/222.12     inference(rename_variables,[],[44])).
% 222.01/222.12  cnf(3593,plain,
% 222.01/222.12     (E(x35931,f9(x35931,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(3602,plain,
% 222.01/222.12     (~P3(x36021,a1)),
% 222.01/222.12     inference(rename_variables,[],[44])).
% 222.01/222.12  cnf(3605,plain,
% 222.01/222.12     (~P3(x36051,f9(f9(f9(a2,a1),f9(a2,a2)),a1))),
% 222.01/222.12     inference(scs_inference,[],[44,3591,3602,96,3589,3593,1514,92,1521,2720,706,145,2544,710,2650,2997,2256,2613,3321,3533,3563,2958,2688,2,42,41,32,29,14,13,15,3,11,12,43,38,36])).
% 222.01/222.12  cnf(3609,plain,
% 222.01/222.12     (~P3(x36091,f9(f9(f9(a1,a1),a1),f9(f9(a1,a1),a1)))),
% 222.01/222.12     inference(scs_inference,[],[44,3591,3602,96,3589,3593,1514,92,1521,2720,706,145,2544,710,2650,2997,2256,2613,3321,3533,3563,2958,2688,2,42,41,32,29,14,13,15,3,11,12,43,38,36,28])).
% 222.01/222.12  cnf(3611,plain,
% 222.01/222.12     (P1(f9(f9(a1,a1),a1))),
% 222.01/222.12     inference(scs_inference,[],[44,3591,3602,96,3589,3593,1514,92,1521,2720,706,145,2544,710,2650,2997,2256,2613,3321,3533,3563,2958,2688,2,42,41,32,29,14,13,15,3,11,12,43,38,36,28,30])).
% 222.01/222.12  cnf(3620,plain,
% 222.01/222.12     (E(f9(x36201,f9(f9(a2,a1),f9(a2,a2))),f9(x36201,f9(a2,a1)))),
% 222.01/222.12     inference(scs_inference,[],[2803,2])).
% 222.01/222.12  cnf(3621,plain,
% 222.01/222.12     (P3(f4(a5,a8,a8),f9(x36211,f9(f9(a5,x36212),x36213)))),
% 222.01/222.12     inference(scs_inference,[],[710,2803,2,41])).
% 222.01/222.12  cnf(3623,plain,
% 222.01/222.12     (P3(f4(a5,a8,a8),f9(f9(f9(a5,x36231),x36232),x36233))),
% 222.01/222.12     inference(scs_inference,[],[710,2803,2,41,42])).
% 222.01/222.12  cnf(3628,plain,
% 222.01/222.12     (~P3(a7,f4(a1,a1,a5))),
% 222.01/222.12     inference(scs_inference,[],[710,2803,3484,3521,2,41,42,32,29])).
% 222.01/222.12  cnf(3630,plain,
% 222.01/222.12     (P2(f9(f9(f4(a2,a1,a1),a1),a1),f4(a1,a1,a1))),
% 222.01/222.12     inference(scs_inference,[],[96,710,2803,3484,3521,3094,2,41,42,32,29,14])).
% 222.01/222.12  cnf(3631,plain,
% 222.01/222.12     (E(x36311,f9(x36311,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(3633,plain,
% 222.01/222.12     (~P3(x36331,a1)),
% 222.01/222.12     inference(rename_variables,[],[44])).
% 222.01/222.12  cnf(3637,plain,
% 222.01/222.12     (P1(f9(f9(a2,a2),a1))),
% 222.01/222.12     inference(scs_inference,[],[44,96,3631,2720,710,265,693,2803,3028,3484,3521,3611,3094,3492,2,41,42,32,29,14,13,12,15,11])).
% 222.01/222.12  cnf(3645,plain,
% 222.01/222.12     (~P3(x36451,a1)),
% 222.01/222.12     inference(rename_variables,[],[44])).
% 222.01/222.12  cnf(3648,plain,
% 222.01/222.12     (~P3(x36481,f9(f9(f9(a2,a2),f9(a2,a2)),a1))),
% 222.01/222.12     inference(scs_inference,[],[44,3633,3645,96,3631,22,1521,57,2720,710,265,2279,693,2803,3028,2731,2645,3484,3521,3611,3094,3414,3492,2,41,42,32,29,14,13,12,15,11,3,43,38,36])).
% 222.01/222.12  cnf(3662,plain,
% 222.01/222.12     (P3(f4(a5,a8,a8),f9(f9(x36621,f9(x36622,a5)),x36623))),
% 222.01/222.12     inference(scs_inference,[],[693,2397,2,42])).
% 222.01/222.12  cnf(3664,plain,
% 222.01/222.12     (P3(f4(a5,a8,a8),f9(x36641,f9(x36642,f9(x36643,a5))))),
% 222.01/222.12     inference(scs_inference,[],[693,2397,2,42,41])).
% 222.01/222.12  cnf(3669,plain,
% 222.01/222.12     (~P3(a6,f4(a1,a1,a6))),
% 222.01/222.12     inference(scs_inference,[],[693,2397,3400,3567,2,42,41,32,29])).
% 222.01/222.12  cnf(3671,plain,
% 222.01/222.12     (P2(f9(f9(f4(a2,a2,a1),a1),a1),f4(a1,a1,a1))),
% 222.01/222.12     inference(scs_inference,[],[96,693,2397,3400,3567,3174,2,42,41,32,29,14])).
% 222.01/222.12  cnf(3672,plain,
% 222.01/222.12     (E(x36721,f9(x36721,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(3676,plain,
% 222.01/222.12     (~P3(x36761,a1)),
% 222.01/222.12     inference(rename_variables,[],[44])).
% 222.01/222.12  cnf(3681,plain,
% 222.01/222.12     (~P3(x36811,f9(a1,f9(f9(a2,a1),f9(a2,a1))))),
% 222.01/222.12     inference(scs_inference,[],[44,3676,96,3672,22,2720,693,293,2846,697,2397,3062,3611,2608,3400,3567,3174,2789,2,42,41,32,29,14,3,13,12,15,11,43])).
% 222.01/222.12  cnf(3682,plain,
% 222.01/222.12     (~P3(x36821,f9(f9(a2,a1),f9(a2,a1)))),
% 222.01/222.12     inference(rename_variables,[],[2846])).
% 222.01/222.12  cnf(3686,plain,
% 222.01/222.12     (~P3(x36861,a1)),
% 222.01/222.12     inference(rename_variables,[],[44])).
% 222.01/222.12  cnf(3689,plain,
% 222.01/222.12     (~P3(x36891,f9(a1,f9(f9(a2,a1),f9(a2,a2))))),
% 222.01/222.12     inference(scs_inference,[],[44,3676,3686,96,3672,22,1521,2720,693,293,2846,3682,697,2397,3062,3611,2738,2608,3400,3620,3567,3174,2789,2,42,41,32,29,14,3,13,12,15,11,43,38,36])).
% 222.01/222.12  cnf(3693,plain,
% 222.01/222.12     (~P3(x36931,f9(f9(f9(a1,a1),a1),f9(a1,a2)))),
% 222.01/222.12     inference(scs_inference,[],[44,3676,3686,96,3672,22,1521,2720,693,293,2846,3682,697,2397,3062,3611,2738,2608,3400,3620,3567,3174,2789,2,42,41,32,29,14,3,13,12,15,11,43,38,36,28])).
% 222.01/222.12  cnf(3702,plain,
% 222.01/222.12     (E(f9(a1,a1),a2)),
% 222.01/222.12     inference(scs_inference,[],[2413,2])).
% 222.01/222.12  cnf(3703,plain,
% 222.01/222.12     (P3(f4(a5,a8,a8),f9(f9(f9(x37031,a5),x37032),x37033))),
% 222.01/222.12     inference(scs_inference,[],[697,2413,2,42])).
% 222.01/222.12  cnf(3705,plain,
% 222.01/222.12     (P3(f4(a5,a8,a8),f9(x37051,f9(f9(x37052,a5),x37053)))),
% 222.01/222.12     inference(scs_inference,[],[697,2413,2,42,41])).
% 222.01/222.12  cnf(3713,plain,
% 222.01/222.12     (E(x37131,f9(x37131,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(3715,plain,
% 222.01/222.12     (~P3(x37151,a1)),
% 222.01/222.12     inference(rename_variables,[],[44])).
% 222.01/222.12  cnf(3717,plain,
% 222.01/222.12     (E(x37171,f9(x37171,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(3731,plain,
% 222.01/222.12     (~P3(x37311,f9(f9(a2,a2),f9(f9(a1,a1),a1)))),
% 222.01/222.12     inference(scs_inference,[],[44,3715,96,3713,3717,16,1538,2720,697,320,3611,1977,2413,3134,1874,2789,3571,3579,3693,3314,2743,2,42,41,32,29,14,13,3,15,12,11,27,43,38,28])).
% 222.01/222.12  cnf(3742,plain,
% 222.01/222.12     (E(f9(a1,a2),a2)),
% 222.01/222.12     inference(scs_inference,[],[2453,2])).
% 222.01/222.12  cnf(3752,plain,
% 222.01/222.12     (P2(f9(f9(f9(f3(a2,a1),a1),a1),a1),f3(a1,a2))),
% 222.01/222.12     inference(scs_inference,[],[96,3343,2453,3579,3731,3543,2,42,41,32,29,14])).
% 222.01/222.12  cnf(3753,plain,
% 222.01/222.12     (E(x37531,f9(x37531,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(3755,plain,
% 222.01/222.12     (E(x37551,f9(x37551,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(3759,plain,
% 222.01/222.12     (E(x37591,f9(x37591,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(3765,plain,
% 222.01/222.12     (~P3(f4(a2,a2,a2),f9(f4(a2,a2,a2),f4(a2,a2,a2)))),
% 222.01/222.12     inference(scs_inference,[],[44,96,3753,3755,3759,16,3611,3343,2013,2453,3579,2958,2743,3581,3731,3543,2839,2,42,41,32,29,14,3,13,12,15,11,27,43])).
% 222.01/222.12  cnf(3783,plain,
% 222.01/222.12     (P3(f4(a5,a8,a8),f9(f9(f9(x37831,f9(a5,x37832)),x37833),x37834))),
% 222.01/222.12     inference(scs_inference,[],[3579,2615,2,42])).
% 222.01/222.12  cnf(3785,plain,
% 222.01/222.12     (P3(f4(a5,a8,a8),f9(x37851,f9(f9(x37852,f9(a5,x37853)),x37854)))),
% 222.01/222.12     inference(scs_inference,[],[3579,2615,2,42,41])).
% 222.01/222.12  cnf(3819,plain,
% 222.01/222.12     (P3(f4(a5,a8,a8),f9(f9(x38191,f9(x38192,f9(a5,x38193))),x38194))),
% 222.01/222.12     inference(scs_inference,[],[3581,2789,2,42])).
% 222.01/222.12  cnf(3830,plain,
% 222.01/222.12     (E(f9(f4(a1,a1,a1),f4(a1,a1,a1)),f4(a2,a2,a2))),
% 222.01/222.12     inference(scs_inference,[],[96,22,3581,2789,3621,3271,3609,2113,2,42,32,41,29,14,3])).
% 222.01/222.12  cnf(3902,plain,
% 222.01/222.12     (E(f9(f9(f4(a2,a2,a2),f4(a2,a2,a2)),f9(f4(a2,a2,a2),f4(a2,a2,a2))),f4(a1,a1,a1))),
% 222.01/222.12     inference(scs_inference,[],[44,96,22,3623,2613,3662,3664,3316,3605,3385,2,32,42,41,29,14,13,3])).
% 222.01/222.12  cnf(3932,plain,
% 222.01/222.12     (P2(f9(f9(f9(f4(a1,a1,a1),a1),a1),a1),f4(a2,a2,a2))),
% 222.01/222.12     inference(scs_inference,[],[96,3662,2645,3664,3648,3421,2,42,32,41,29,14])).
% 222.01/222.12  cnf(3936,plain,
% 222.01/222.12     (E(f9(f9(f3(a2,a2),f3(a2,a2)),f9(f3(a2,a2),f3(a2,a2))),f3(a1,a1))),
% 222.01/222.12     inference(scs_inference,[],[44,96,22,3662,2645,3664,3703,3351,3648,3421,2,42,32,41,29,14,13,3])).
% 222.01/222.12  cnf(3967,plain,
% 222.01/222.12     (P2(f9(f9(f9(f3(a2,a2),a1),a1),a1),f3(a1,a1))),
% 222.01/222.12     inference(scs_inference,[],[96,3664,2608,3703,3681,3460,2,42,32,41,29,14])).
% 222.01/222.12  cnf(3971,plain,
% 222.01/222.12     (E(f9(f9(f4(a1,a1,a1),f4(a1,a1,a1)),f9(f4(a1,a1,a1),f4(a1,a1,a1))),f4(a2,a2,a2))),
% 222.01/222.12     inference(scs_inference,[],[44,96,22,3664,2608,3703,3705,3830,3681,3460,2,42,32,41,29,14,13,3])).
% 222.01/222.12  cnf(3992,plain,
% 222.01/222.12     (P3(f4(a5,a8,a8),f9(f9(f9(f9(x39921,a5),x39922),x39923),x39924))),
% 222.01/222.12     inference(scs_inference,[],[3703,2597,2,42])).
% 222.01/222.12  cnf(3997,plain,
% 222.01/222.12     (P3(f4(a5,a8,a8),f9(x39971,f9(f9(f9(x39972,a5),x39973),x39974)))),
% 222.01/222.12     inference(scs_inference,[],[3703,2597,3689,2,42,32,41])).
% 222.01/222.12  cnf(4001,plain,
% 222.01/222.12     (P2(f9(f9(f9(f3(a1,a2),a1),a1),a1),f3(a2,a1))),
% 222.01/222.12     inference(scs_inference,[],[96,3703,2597,3705,3689,3588,2,42,32,41,29,14])).
% 222.01/222.12  cnf(4026,plain,
% 222.01/222.12     (P3(f4(a5,a8,a8),f9(f9(x40261,f9(f9(x40262,a5),x40263)),x40264))),
% 222.01/222.12     inference(scs_inference,[],[3705,2743,2,42])).
% 222.01/222.12  cnf(4028,plain,
% 222.01/222.12     (P3(f4(a5,a8,a8),f9(x40281,f9(x40282,f9(f9(x40283,a5),x40284))))),
% 222.01/222.12     inference(scs_inference,[],[3705,2743,2,42,41])).
% 222.01/222.12  cnf(4060,plain,
% 222.01/222.12     (P3(f4(a8,a5,a5),f9(x40601,f9(f9(f9(x40602,f9(a7,x40603)),x40604),x40605)))),
% 222.01/222.12     inference(scs_inference,[],[3345,2839,2,41])).
% 222.01/222.12  cnf(4062,plain,
% 222.01/222.12     (P3(f4(a8,a5,a5),f9(f9(f9(f9(x40621,f9(a7,x40622)),x40623),x40624),x40625))),
% 222.01/222.12     inference(scs_inference,[],[3345,2839,2,41,42])).
% 222.01/222.12  cnf(4068,plain,
% 222.01/222.12     (P2(f9(f9(f9(f4(a2,a1,a1),a1),a1),a1),f4(a1,a1,a1))),
% 222.01/222.12     inference(scs_inference,[],[44,96,3345,2839,3379,3381,3630,2,41,42,29,13,14])).
% 222.01/222.12  cnf(4070,plain,
% 222.01/222.12     (E(f9(f9(f4(x40701,x40702,a2),f4(x40701,x40702,a2)),f9(f4(x40701,x40702,a2),f4(x40701,x40702,a2))),f4(x40701,x40702,a1))),
% 222.01/222.12     inference(scs_inference,[],[44,96,22,3345,2839,3379,3381,3060,3630,2,41,42,29,13,14,3])).
% 222.01/222.12  cnf(4089,plain,
% 222.01/222.12     (P3(f4(a8,a5,a5),f9(f9(x40891,f9(x40892,f9(f9(a7,x40893),x40894))),x40895))),
% 222.01/222.12     inference(scs_inference,[],[3379,3316,2,42])).
% 222.01/222.12  cnf(4091,plain,
% 222.01/222.12     (P3(f4(a8,a5,a5),f9(x40911,f9(x40912,f9(x40913,f9(f9(a7,x40914),x40915)))))),
% 222.01/222.12     inference(scs_inference,[],[3379,3316,2,42,41])).
% 222.01/222.12  cnf(4097,plain,
% 222.01/222.12     (P2(f9(f9(f9(f4(a2,a2,a1),a1),a1),a1),f4(a1,a1,a1))),
% 222.01/222.12     inference(scs_inference,[],[96,22,3379,3381,3316,3199,3671,2,42,41,29,3,14])).
% 222.01/222.12  cnf(4122,plain,
% 222.01/222.12     (P3(f4(a8,a5,a5),f9(f9(f9(x41221,f9(f9(a7,x41222),x41223)),x41224),x41225))),
% 222.01/222.12     inference(scs_inference,[],[3381,3351,2,42])).
% 222.01/222.12  cnf(4124,plain,
% 222.01/222.12     (P3(f4(a8,a5,a5),f9(x41241,f9(f9(x41242,f9(f9(a7,x41243),x41244)),x41245)))),
% 222.01/222.12     inference(scs_inference,[],[3381,3351,2,42,41])).
% 222.01/222.12  cnf(4292,plain,
% 222.01/222.12     (E(x42921,f9(x42921,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(4297,plain,
% 222.01/222.12     (E(f9(f3(x42971,a1),f3(x42971,a1)),f3(x42971,a2))),
% 222.01/222.12     inference(scs_inference,[],[44,96,4292,22,3493,3495,3026,3752,3534,3129,3967,2,41,42,29,14,15,13,3])).
% 222.01/222.12  cnf(4350,plain,
% 222.01/222.12     (E(x43501,f9(x43501,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(4355,plain,
% 222.01/222.12     (E(f9(f3(a1,x43551),f3(a1,x43551)),f3(a2,x43551))),
% 222.01/222.12     inference(scs_inference,[],[44,96,4350,22,3534,3536,4297,3932,3783,3235,4001,2,42,41,29,14,15,13,3])).
% 222.01/222.12  cnf(4410,plain,
% 222.01/222.12     (E(x44101,f9(x44101,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(4415,plain,
% 222.01/222.12     (E(f9(f4(a1,x44151,a1),f4(a1,x44151,a1)),f4(a2,x44151,a2))),
% 222.01/222.12     inference(scs_inference,[],[44,96,4410,22,3783,3785,4355,4068,3819,3342,4097,2,42,41,29,14,13,15,3])).
% 222.01/222.12  cnf(4795,plain,
% 222.01/222.12     (P2(f9(f9(f4(x47951,a1,a1),a1),a1),f4(x47951,a2,a2))),
% 222.01/222.12     inference(scs_inference,[],[96,3992,3997,2755,3349,2,42,41,29,14])).
% 222.01/222.12  cnf(4867,plain,
% 222.01/222.12     (P2(f9(f9(f9(f4(x48671,a1,a1),a1),a1),a1),f4(x48671,a2,a2))),
% 222.01/222.12     inference(scs_inference,[],[96,4026,4028,2593,4795,2,42,41,29,14])).
% 222.01/222.12  cnf(4928,plain,
% 222.01/222.12     (P3(f4(a8,a5,a5),f9(f9(x49281,f9(f9(x49282,a8),x49283)),x49284))),
% 222.01/222.12     inference(scs_inference,[],[3018,3902,2,42])).
% 222.01/222.12  cnf(4930,plain,
% 222.01/222.12     (P3(f4(a8,a5,a5),f9(x49301,f9(x49302,f9(f9(x49303,a8),x49304))))),
% 222.01/222.12     inference(scs_inference,[],[3018,3902,2,42,41])).
% 222.01/222.12  cnf(4964,plain,
% 222.01/222.12     (P3(f4(a1,a1,a8),f9(f9(f9(f9(a8,x49641),x49642),x49643),x49644))),
% 222.01/222.12     inference(scs_inference,[],[3092,3936,2,42])).
% 222.01/222.12  cnf(4966,plain,
% 222.01/222.12     (P3(f4(a1,a1,a8),f9(x49661,f9(f9(f9(a8,x49662),x49663),x49664)))),
% 222.01/222.12     inference(scs_inference,[],[3092,3936,2,42,41])).
% 222.01/222.12  cnf(4972,plain,
% 222.01/222.12     (~E(f9(f9(a2,a2),f9(a2,a2)),f9(a5,a8))),
% 222.01/222.12     inference(scs_inference,[],[44,25,3092,4060,4928,3936,2682,2,42,41,29,13,14])).
% 222.01/222.12  cnf(5028,plain,
% 222.01/222.12     (E(f4(x50281,f9(f9(a2,a1),f9(a2,a1)),x50282),f4(x50281,f9(a2,a2),x50282))),
% 222.01/222.12     inference(scs_inference,[],[2708,2])).
% 222.01/222.12  cnf(5037,plain,
% 222.01/222.12     (~E(f9(f9(a2,a2),f9(a1,a1)),f9(a5,a8))),
% 222.01/222.12     inference(scs_inference,[],[44,25,846,4930,2708,4964,2783,2,42,41,29,13,14])).
% 222.01/222.12  cnf(5067,plain,
% 222.01/222.12     (~P3(x50671,a1)),
% 222.01/222.12     inference(rename_variables,[],[44])).
% 222.01/222.12  cnf(5071,plain,
% 222.01/222.12     (E(x50711,f9(x50711,a1))),
% 222.01/222.12     inference(rename_variables,[],[96])).
% 222.01/222.12  cnf(5076,plain,
% 222.01/222.12     (~P3(x50761,f9(a1,f9(f9(a2,a2),a1)))),
% 222.01/222.12     inference(scs_inference,[],[44,5067,96,5071,22,25,4928,4930,4964,2709,4867,3563,4966,5028,2899,2,42,41,29,13,14,15,12,3,43])).
% 222.01/222.12  cnf(5111,plain,
% 222.01/222.12     (~E(f9(f9(a2,a1),f9(a2,a2)),f9(a5,a8))),
% 222.01/222.12     inference(scs_inference,[],[44,25,4930,4966,4062,3971,5076,2948,2,42,41,29,32,13,14])).
% 222.01/222.12  cnf(5179,plain,
% 222.01/222.12     (E(f4(x51791,x51792,f9(f9(a2,a1),f9(a2,a1))),f4(x51791,x51792,f9(a2,a2)))),
% 222.01/222.12     inference(scs_inference,[],[2712,2])).
% 222.01/222.12  cnf(5188,plain,
% 222.01/222.12     (~E(f9(f9(a1,a1),f9(a2,a2)),f9(a5,a8))),
% 222.01/222.12     inference(scs_inference,[],[44,25,4966,4089,2712,4091,3117,2,42,41,29,13,14])).
% 222.01/222.12  cnf(5221,plain,
% 222.01/222.12     (~P3(x52211,a1)),
% 222.01/222.12     inference(rename_variables,[],[44])).
% 222.01/222.12  cnf(5229,plain,
% 222.01/222.12     (~P3(x52291,f9(a1,f9(a1,f9(a1,a1))))),
% 222.01/222.12     inference(scs_inference,[],[44,5221,96,22,25,2720,864,105,4091,2713,3510,271,4122,5179,3157,2,42,29,41,13,14,15,12,3,43])).
% 222.01/222.12  cnf(5259,plain,
% 222.01/222.12     (~E(f9(f9(a2,a1),f9(a1,a1)),f9(a5,a8))),
% 222.01/222.12     inference(scs_inference,[],[44,96,25,2720,526,181,4122,295,4124,5229,4070,3225,2,42,41,29,32,13,15,12,14])).
% 222.01/222.12  cnf(5847,plain,
% 222.01/222.12     (~P3(f3(f9(a5,a8),a7),a7)),
% 222.01/222.12     inference(scs_inference,[],[25,37])).
% 222.01/222.12  cnf(5853,plain,
% 222.01/222.12     (E(f3(x58531,f9(x58532,x58532)),f3(x58531,x58532))),
% 222.01/222.12     inference(scs_inference,[],[25,22,1853,37,5,31,7,10])).
% 222.01/222.12  cnf(5857,plain,
% 222.01/222.12     (E(f3(f9(x58571,x58571),x58572),f3(x58571,x58572))),
% 222.01/222.12     inference(scs_inference,[],[25,22,1853,1855,37,5,31,7,10,30,8,9])).
% 222.01/222.12  cnf(5871,plain,
% 222.01/222.12     (P3(f3(f9(a5,a8),a7),f9(a5,a8))),
% 222.01/222.12     inference(scs_inference,[],[18,25,22,2799,2914,3229,3202,2770,1853,2814,1855,3563,3637,37,5,31,7,10,30,8,9,6,4,34,26,35,36,33,32])).
% 222.01/222.12  cnf(5877,plain,
% 222.01/222.12     (~P3(f3(f9(a5,a8),f9(a1,a7)),a7)),
% 222.01/222.12     inference(scs_inference,[],[18,25,22,2799,2914,3229,3628,3202,2770,1853,2814,1855,3563,3637,37,5,31,7,10,30,8,9,6,4,34,26,35,36,33,32,43,42,41])).
% 222.01/222.12  cnf(5882,plain,
% 222.01/222.12     (E(f9(x58821,x58822),f9(x58822,x58821))),
% 222.01/222.12     inference(rename_variables,[],[23])).
% 222.01/222.12  cnf(5884,plain,
% 222.01/222.12     (E(f9(x58841,x58841),x58841)),
% 222.01/222.12     inference(rename_variables,[],[22])).
% 222.01/222.12  cnf(5885,plain,
% 222.01/222.12     (~P2(f9(f9(a5,a8),f9(a5,a8)),a7)),
% 222.01/222.12     inference(scs_inference,[],[18,25,22,5884,23,2799,2914,5111,3229,2337,3628,3202,2770,1853,2814,1855,3563,3637,37,5,31,7,10,30,8,9,6,4,34,26,35,36,33,32,43,42,41,29,3,15,14])).
% 222.01/222.12  cnf(5888,plain,
% 222.01/222.12     (~P3(f3(f9(a5,a8),f9(a1,a7)),f9(a7,a1))),
% 222.01/222.12     inference(scs_inference,[],[18,25,22,5884,23,5882,2799,2914,4972,5111,3229,2337,3628,3202,2770,1853,2814,1855,3563,3637,37,5,31,7,10,30,8,9,6,4,34,26,35,36,33,32,43,42,41,29,3,15,14,2,13])).
% 222.01/222.12  cnf(5893,plain,
% 222.01/222.12     (~P3(f3(f9(a5,a8),f9(a7,a1)),f9(a7,a1))),
% 222.01/222.12     inference(scs_inference,[],[2136,37])).
% 222.01/222.12  cnf(5912,plain,
% 222.01/222.12     (P3(f3(f9(a5,a8),f9(a7,a1)),f9(a5,a8))),
% 222.01/222.12     inference(scs_inference,[],[18,20,3070,5871,5847,2136,2663,3702,3611,37,5,9,10,7,34,26,8,6,4,35,36,33,32])).
% 222.01/222.12  cnf(5914,plain,
% 222.01/222.12     (P3(f3(f9(a5,a8),a7),a8)),
% 222.01/222.12     inference(scs_inference,[],[18,20,3070,5871,5847,2136,2663,3702,3611,37,5,9,10,7,34,26,8,6,4,35,36,33,32,43])).
% 222.01/222.12  cnf(5922,plain,
% 222.01/222.12     (E(f3(f9(x59221,x59221),f9(x59222,x59222)),f3(x59221,x59222))),
% 222.01/222.12     inference(scs_inference,[],[18,21,20,3070,5853,5857,5871,5847,2136,2663,3702,3611,37,5,9,10,7,34,26,8,6,4,35,36,33,32,43,42,29,15,3])).
% 222.01/222.12  cnf(5925,plain,
% 222.01/222.12     (E(f9(x59251,x59251),x59251)),
% 222.01/222.12     inference(rename_variables,[],[22])).
% 222.01/222.12  cnf(5932,plain,
% 222.01/222.12     (~P3(f4(a2,a1,a1),f4(a2,a2,a2))),
% 222.01/222.12     inference(scs_inference,[],[18,21,16,22,5925,20,3070,5037,5853,5857,5871,3765,5847,2508,2136,2663,3702,3378,3611,37,5,9,10,7,34,26,8,6,4,35,36,33,32,43,42,29,15,3,14,2,13,11,12,41])).
% 222.01/222.12  cnf(5953,plain,
% 222.01/222.12     (P3(f3(f9(a8,a5),f9(a7,a2)),f9(a8,a5))),
% 222.01/222.12     inference(scs_inference,[],[18,5888,5893,5912,5877,2141,2814,3742,3462,37,26,5,34,9,7,10,4,8,6,35,36,33,32])).
% 222.01/222.12  cnf(5964,plain,
% 222.01/222.12     (E(f9(x59641,x59641),x59641)),
% 222.01/222.12     inference(rename_variables,[],[22])).
% 222.01/222.12  cnf(5971,plain,
% 222.01/222.12     (~P3(f9(f4(a2,a1,a1),f4(a2,a1,a1)),f4(a2,a2,a2))),
% 222.01/222.12     inference(scs_inference,[],[18,25,24,22,5964,20,23,5188,5259,5888,5893,5912,5932,5885,3669,5877,2141,2814,4415,3742,3611,3462,37,26,5,34,9,7,10,4,8,6,35,36,33,32,43,42,29,3,15,14,2,13,11,12])).
% 222.01/222.12  cnf(6595,plain,
% 222.01/222.12     (~P3(x65951,a1)),
% 222.01/222.12     inference(rename_variables,[],[44])).
% 222.01/222.12  cnf(6600,plain,
% 222.01/222.12     ($false),
% 222.01/222.12     inference(scs_inference,[],[44,6595,96,23,19,228,5953,3000,3372,5847,5922,2134,424,5914,5971,31,30,37,2000,26,9,10,7,5,6,4,8,32,42,41,29,2,34,35,33]),
% 222.01/222.12     ['proof']).
% 222.01/222.12  % SZS output end Proof
% 222.01/222.12  % Total time :221.270000s
%------------------------------------------------------------------------------