TSTP Solution File: FLD002-3 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : FLD002-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 22:26:25 EDT 2023

% Result   : Unsatisfiable 56.02s 56.21s
% Output   : CNFRefutation 56.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : FLD002-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun Aug 27 23:28:16 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.61  start to proof:theBenchmark
% 56.02/56.20  %-------------------------------------------
% 56.02/56.20  % File        :CSE---1.6
% 56.02/56.20  % Problem     :theBenchmark
% 56.02/56.20  % Transform   :cnf
% 56.02/56.20  % Format      :tptp:raw
% 56.02/56.20  % Command     :java -jar mcs_scs.jar %d %s
% 56.02/56.20  
% 56.02/56.20  % Result      :Theorem 55.400000s
% 56.02/56.20  % Output      :CNFRefutation 55.400000s
% 56.02/56.20  %-------------------------------------------
% 56.02/56.21  %--------------------------------------------------------------------------
% 56.02/56.21  % File     : FLD002-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 56.02/56.21  % Domain   : Field Theory (Ordered fields)
% 56.02/56.21  % Problem  : Transformation multiplicative relation --> additive relation
% 56.02/56.21  % Version  : [Dra93] axioms : Especial.
% 56.02/56.21  %            Theorem formulation : Functional with re axiom set.
% 56.02/56.21  % English  :
% 56.02/56.21  
% 56.02/56.21  % Refs     : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 56.02/56.21  % Source   : [Dra93]
% 56.02/56.21  % Names    :
% 56.02/56.21  
% 56.02/56.21  % Status   : Unsatisfiable
% 56.02/56.21  % Rating   : 0.00 v8.1.0, 0.14 v7.5.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.10 v5.2.0, 0.00 v5.0.0, 0.07 v4.1.0, 0.00 v4.0.1, 0.20 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.12 v2.6.0, 0.33 v2.5.0, 0.20 v2.4.0, 0.40 v2.3.0, 0.67 v2.2.1, 0.67 v2.1.0
% 56.02/56.21  % Syntax   : Number of clauses     :   30 (   7 unt;   3 nHn;  30 RR)
% 56.02/56.21  %            Number of literals    :   81 (   0 equ;  50 neg)
% 56.02/56.21  %            Maximal clause size   :    5 (   2 avg)
% 56.02/56.21  %            Maximal term depth    :    2 (   1 avg)
% 56.02/56.21  %            Number of predicates  :    4 (   4 usr;   0 prp; 1-3 aty)
% 56.02/56.21  %            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
% 56.02/56.21  %            Number of variables   :   73 (   0 sgn)
% 56.02/56.21  % SPC      : CNF_UNS_RFO_NEQ_NHN
% 56.02/56.21  
% 56.02/56.21  % Comments :
% 56.02/56.21  % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 56.02/56.21  %--------------------------------------------------------------------------
% 56.02/56.21  include('Axioms/FLD002-0.ax').
% 56.02/56.21  %--------------------------------------------------------------------------
% 56.02/56.21  cnf(a_is_defined,hypothesis,
% 56.02/56.21      defined(a) ).
% 56.02/56.21  
% 56.02/56.21  cnf(b_is_defined,hypothesis,
% 56.02/56.21      defined(b) ).
% 56.02/56.21  
% 56.02/56.21  cnf(product_3,hypothesis,
% 56.02/56.21      product(multiplicative_identity,a,b) ).
% 56.02/56.21  
% 56.02/56.21  cnf(not_sum_4,negated_conjecture,
% 56.02/56.21      ~ sum(additive_identity,a,b) ).
% 56.02/56.21  
% 56.02/56.21  %--------------------------------------------------------------------------
% 56.02/56.21  %-------------------------------------------
% 56.02/56.21  % Proof found
% 56.02/56.21  % SZS status Theorem for theBenchmark
% 56.02/56.21  % SZS output start Proof
% 56.02/56.21  %ClaNum:30(EqnAxiom:0)
% 56.02/56.21  %VarNum:162(SingletonVarNum:73)
% 56.02/56.21  %MaxLitNum:5
% 56.02/56.21  %MaxfuncDepth:1
% 56.02/56.21  %SharedTerms:11
% 56.02/56.21  %goalClause: 7
% 56.02/56.21  %singleGoalClaCount:1
% 56.02/56.21  [1]P1(a1)
% 56.02/56.21  [2]P1(a4)
% 56.02/56.21  [3]P1(a2)
% 56.02/56.21  [4]P1(a5)
% 56.02/56.21  [5]P2(a4,a2,a5)
% 56.02/56.21  [6]~P4(a1,a1,a4)
% 56.02/56.21  [7]~P4(a1,a2,a5)
% 56.02/56.21  [13]~P1(x131)+P4(a1,x131,x131)
% 56.02/56.21  [14]~P1(x141)+P2(a4,x141,x141)
% 56.02/56.21  [8]~P1(x81)+P1(f6(x81))
% 56.02/56.21  [15]~P1(x151)+P4(f6(x151),x151,a1)
% 56.02/56.21  [22]~P4(x222,x221,x223)+P4(x221,x222,x223)
% 56.02/56.21  [23]~P2(x232,x231,x233)+P2(x231,x232,x233)
% 56.02/56.21  [16]~P1(x161)+P4(a1,x161,a1)+P1(f8(x161))
% 56.02/56.21  [20]~P1(x201)+P2(f8(x201),x201,a4)+P4(a1,x201,a1)
% 56.02/56.21  [19]~P3(x192,x191)+~P3(x191,x192)+P4(a1,x191,x192)
% 56.02/56.21  [10]~P1(x102)+~P1(x101)+P1(f3(x101,x102))
% 56.02/56.21  [11]~P1(x112)+~P1(x111)+P1(f7(x111,x112))
% 56.02/56.21  [17]~P1(x172)+~P1(x171)+P4(x171,x172,f3(x171,x172))
% 56.02/56.21  [18]~P1(x182)+~P1(x181)+P2(x181,x182,f7(x181,x182))
% 56.02/56.21  [12]~P3(x121,x123)+P3(x121,x122)+~P3(x123,x122)
% 56.02/56.21  [9]P3(x92,x91)+~P1(x91)+~P1(x92)+P3(x91,x92)
% 56.02/56.21  [21]~P2(x213,x212,x211)+P3(a1,x211)+~P3(a1,x212)+~P3(a1,x213)
% 56.02/56.21  [24]~P4(x243,x245,x241)+P3(x241,x242)+~P4(x244,x245,x242)+~P3(x243,x244)
% 56.02/56.21  [25]~P4(x251,x256,x254)+P4(x251,x252,x253)+~P4(x254,x255,x253)+~P4(x256,x255,x252)
% 56.02/56.21  [26]~P4(x266,x264,x261)+P4(x261,x262,x263)+~P4(x264,x262,x265)+~P4(x266,x265,x263)
% 56.02/56.21  [27]~P2(x271,x276,x274)+P2(x271,x272,x273)+~P2(x274,x275,x273)+~P2(x276,x275,x272)
% 56.02/56.21  [28]~P2(x286,x284,x281)+P2(x281,x282,x283)+~P2(x284,x282,x285)+~P2(x286,x285,x283)
% 56.02/56.21  [29]~P2(x295,x297,x292)+~P2(x294,x297,x291)+P4(x291,x292,x293)+~P4(x294,x295,x296)+~P2(x296,x297,x293)
% 56.02/56.21  [30]~P2(x307,x302,x305)+~P2(x306,x302,x304)+P2(x301,x302,x303)+~P4(x304,x305,x303)+~P4(x306,x307,x301)
% 56.02/56.21  %EqnAxiom
% 56.02/56.21  
% 56.02/56.21  %-------------------------------------------
% 56.02/56.22  cnf(31,plain,
% 56.02/56.22     (~P4(a2,a1,a5)),
% 56.02/56.22     inference(scs_inference,[],[7,22])).
% 56.02/56.22  cnf(32,plain,
% 56.02/56.22     (P3(a1,a1)),
% 56.02/56.22     inference(scs_inference,[],[7,1,22,9])).
% 56.02/56.22  cnf(33,plain,
% 56.02/56.22     (P2(a2,a4,a5)),
% 56.02/56.22     inference(scs_inference,[],[7,1,5,22,9,23])).
% 56.02/56.22  cnf(35,plain,
% 56.02/56.22     (P2(a4,a1,a1)),
% 56.02/56.22     inference(scs_inference,[],[7,1,5,22,9,23,14])).
% 56.02/56.22  cnf(37,plain,
% 56.02/56.22     (P4(a1,a1,a1)),
% 56.02/56.22     inference(scs_inference,[],[7,1,5,22,9,23,14,13])).
% 56.02/56.22  cnf(39,plain,
% 56.02/56.22     (P4(f6(a1),a1,a1)),
% 56.02/56.22     inference(scs_inference,[],[7,1,5,22,9,23,14,13,15])).
% 56.02/56.22  cnf(41,plain,
% 56.02/56.22     (P1(f6(a1))),
% 56.02/56.22     inference(scs_inference,[],[7,1,5,22,9,23,14,13,15,8])).
% 56.02/56.22  cnf(43,plain,
% 56.02/56.22     (P2(a1,a1,f7(a1,a1))),
% 56.02/56.22     inference(scs_inference,[],[7,1,5,22,9,23,14,13,15,8,18])).
% 56.02/56.22  cnf(45,plain,
% 56.02/56.22     (P4(a1,a1,f3(a1,a1))),
% 56.02/56.22     inference(scs_inference,[],[7,1,5,22,9,23,14,13,15,8,18,17])).
% 56.02/56.22  cnf(47,plain,
% 56.02/56.22     (P1(f7(a1,a1))),
% 56.02/56.22     inference(scs_inference,[],[7,1,5,22,9,23,14,13,15,8,18,17,11])).
% 56.02/56.22  cnf(49,plain,
% 56.02/56.22     (P1(f3(a1,a1))),
% 56.02/56.22     inference(scs_inference,[],[7,1,5,22,9,23,14,13,15,8,18,17,11,10])).
% 56.02/56.22  cnf(51,plain,
% 56.02/56.22     (~P2(a4,f7(a1,a1),x511)+P2(a1,a1,x511)),
% 56.02/56.22     inference(scs_inference,[],[7,1,5,22,9,23,14,13,15,8,18,17,11,10,28])).
% 56.02/56.22  cnf(53,plain,
% 56.02/56.22     (P2(a4,f7(a1,a1),f7(a1,a1))),
% 56.02/56.22     inference(scs_inference,[],[7,1,5,22,9,23,14,13,15,8,18,17,11,10,28,27])).
% 56.02/56.22  cnf(57,plain,
% 56.02/56.22     (P3(a1,f7(a1,a1))),
% 56.02/56.22     inference(scs_inference,[],[7,1,5,22,9,23,14,13,15,8,18,17,11,10,28,27,24,21])).
% 56.02/56.22  cnf(65,plain,
% 56.02/56.22     (~P2(a4,f7(a1,a1),a4)+P4(a1,a4,a1)+P1(f8(a4))),
% 56.02/56.22     inference(scs_inference,[],[7,1,2,5,6,22,9,23,14,13,15,8,18,17,11,10,28,27,24,21,29,19,20,16])).
% 56.02/56.22  cnf(71,plain,
% 56.02/56.22     (~P2(a4,f7(a1,a1),a4)+~P4(a5,a5,x711)+~P4(a4,a4,x712)+P2(x712,a2,x711)),
% 56.02/56.22     inference(scs_inference,[],[7,1,2,5,6,22,9,23,14,13,15,8,18,17,11,10,28,27,24,21,29,19,20,16,26,25,30])).
% 56.02/56.22  cnf(73,plain,
% 56.02/56.22     (P4(a1,f6(a1),a1)),
% 56.02/56.22     inference(scs_inference,[],[39,22])).
% 56.02/56.22  cnf(75,plain,
% 56.02/56.22     (P2(a2,a2,f7(a2,a2))),
% 56.02/56.22     inference(scs_inference,[],[3,39,22,18])).
% 56.02/56.22  cnf(77,plain,
% 56.02/56.22     (P1(f3(a2,a2))),
% 56.02/56.22     inference(scs_inference,[],[3,39,22,18,10])).
% 56.02/56.22  cnf(79,plain,
% 56.02/56.22     (P4(a1,f3(a1,a1),f3(a1,a1))),
% 56.02/56.22     inference(scs_inference,[],[3,37,39,45,22,18,10,25])).
% 56.02/56.22  cnf(81,plain,
% 56.02/56.22     (P4(a2,a2,f3(a2,a2))),
% 56.02/56.22     inference(scs_inference,[],[3,37,39,45,22,18,10,25,17])).
% 56.02/56.22  cnf(83,plain,
% 56.02/56.22     (P1(f7(a2,a2))),
% 56.02/56.22     inference(scs_inference,[],[3,37,39,45,22,18,10,25,17,11])).
% 56.02/56.22  cnf(85,plain,
% 56.02/56.22     (P4(f3(a1,a1),a1,f3(a1,a1))),
% 56.02/56.22     inference(scs_inference,[],[3,37,39,45,22,18,10,25,17,11,26])).
% 56.02/56.22  cnf(87,plain,
% 56.02/56.22     (P4(f7(a1,a1),f7(a1,a1),f7(a1,a1))),
% 56.02/56.22     inference(scs_inference,[],[3,37,39,43,45,22,18,10,25,17,11,26,29])).
% 56.02/56.22  cnf(89,plain,
% 56.02/56.22     (~P3(f7(a1,a1),x891)+P3(a1,x891)),
% 56.02/56.22     inference(scs_inference,[],[3,37,39,57,43,45,22,18,10,25,17,11,26,29,12])).
% 56.02/56.22  cnf(106,plain,
% 56.02/56.22     (P4(f3(a1,a1),f6(a1),f3(a1,a1))),
% 56.02/56.22     inference(scs_inference,[],[85,73,26])).
% 56.02/56.22  cnf(108,plain,
% 56.02/56.22     (P4(f6(a1),f3(a1,a1),f3(a1,a1))),
% 56.02/56.22     inference(scs_inference,[],[85,73,26,22])).
% 56.02/56.22  cnf(110,plain,
% 56.02/56.22     (~P2(x1101,a4,a4)+P2(x1101,a5,a5)),
% 56.02/56.22     inference(scs_inference,[],[5,85,73,26,22,27])).
% 56.02/56.22  cnf(112,plain,
% 56.02/56.22     (P2(f3(a1,a1),a1,f7(a1,a1))),
% 56.02/56.22     inference(scs_inference,[],[5,87,85,73,43,45,26,22,27,30])).
% 56.02/56.22  cnf(116,plain,
% 56.02/56.22     (~P2(a2,a4,a4)+~P2(x1161,a2,a1)+~P2(x1162,a2,a2)+~P4(x1162,x1161,a4)),
% 56.02/56.22     inference(scs_inference,[],[31,5,87,85,73,33,43,45,26,22,27,30,28,29])).
% 56.02/56.22  cnf(124,plain,
% 56.02/56.22     (~P4(f6(a1),a1,a4)),
% 56.02/56.22     inference(scs_inference,[],[6,39,37,26])).
% 56.02/56.22  cnf(126,plain,
% 56.02/56.22     (~P4(a1,f6(a1),a4)),
% 56.02/56.22     inference(scs_inference,[],[6,39,37,26,22])).
% 56.02/56.22  cnf(137,plain,
% 56.02/56.22     (P1(f6(a4))),
% 56.02/56.22     inference(scs_inference,[],[2,8])).
% 56.02/56.22  cnf(139,plain,
% 56.02/56.22     (P2(a4,a4,a4)),
% 56.02/56.22     inference(scs_inference,[],[2,8,14])).
% 56.02/56.22  cnf(141,plain,
% 56.02/56.22     (P2(a1,f3(a1,a1),f7(a1,a1))),
% 56.02/56.22     inference(scs_inference,[],[2,112,8,14,23])).
% 56.02/56.22  cnf(143,plain,
% 56.02/56.22     (P4(a1,a4,a4)),
% 56.02/56.22     inference(scs_inference,[],[2,112,8,14,23,13])).
% 56.02/56.22  cnf(145,plain,
% 56.02/56.22     (P4(f6(a4),a4,a1)),
% 56.02/56.22     inference(scs_inference,[],[2,112,8,14,23,13,15])).
% 56.02/56.22  cnf(147,plain,
% 56.02/56.22     (~P4(a4,x1471,a1)+~P4(a4,x1471,a4)),
% 56.02/56.22     inference(scs_inference,[],[2,6,112,8,14,23,13,15,25])).
% 56.02/56.22  cnf(149,plain,
% 56.02/56.22     (P4(f3(a1,a1),f3(a1,a1),f3(a1,a1))),
% 56.02/56.22     inference(scs_inference,[],[2,6,112,79,45,8,14,23,13,15,25,26])).
% 56.02/56.22  cnf(162,plain,
% 56.02/56.22     (P4(f6(a1),a4,a4)),
% 56.02/56.22     inference(scs_inference,[],[143,39,25])).
% 56.02/56.22  cnf(164,plain,
% 56.02/56.22     (P4(a4,f6(a4),a1)),
% 56.02/56.22     inference(scs_inference,[],[145,143,39,25,22])).
% 56.02/56.22  cnf(166,plain,
% 56.02/56.22     (P3(a4,a4)),
% 56.02/56.23     inference(scs_inference,[],[32,145,143,39,25,22,24])).
% 56.02/56.23  cnf(168,plain,
% 56.02/56.23     (~P4(a4,f6(a4),a4)),
% 56.02/56.23     inference(scs_inference,[],[32,145,143,39,25,22,24,147])).
% 56.02/56.23  cnf(170,plain,
% 56.02/56.23     (P2(a4,a4,f7(a4,a4))),
% 56.02/56.23     inference(scs_inference,[],[2,32,145,143,39,25,22,24,147,18])).
% 56.02/56.23  cnf(172,plain,
% 56.02/56.23     (P1(f3(a4,a4))),
% 56.02/56.23     inference(scs_inference,[],[2,32,145,143,39,25,22,24,147,18,10])).
% 56.02/56.23  cnf(174,plain,
% 56.02/56.23     (P4(a4,a4,f3(a4,a4))),
% 56.02/56.23     inference(scs_inference,[],[2,32,145,143,39,25,22,24,147,18,10,17])).
% 56.02/56.23  cnf(176,plain,
% 56.02/56.23     (P1(f7(a4,a4))),
% 56.02/56.23     inference(scs_inference,[],[2,32,145,143,39,25,22,24,147,18,10,17,11])).
% 56.02/56.23  cnf(178,plain,
% 56.02/56.23     (~P4(f6(a4),x1781,a4)+~P4(a4,a1,x1781)),
% 56.02/56.23     inference(scs_inference,[],[2,32,6,145,143,39,25,22,24,147,18,10,17,11,26])).
% 56.02/56.23  cnf(188,plain,
% 56.02/56.23     (P2(a5,a5,f7(a5,a5))),
% 56.02/56.23     inference(scs_inference,[],[4,18])).
% 56.02/56.23  cnf(190,plain,
% 56.02/56.23     (P4(a5,a5,f3(a5,a5))),
% 56.02/56.23     inference(scs_inference,[],[4,18,17])).
% 56.02/56.23  cnf(192,plain,
% 56.02/56.23     (P1(f7(a5,a5))),
% 56.02/56.23     inference(scs_inference,[],[4,18,17,11])).
% 56.02/56.23  cnf(194,plain,
% 56.02/56.23     (P1(f3(a5,a5))),
% 56.02/56.23     inference(scs_inference,[],[4,18,17,11,10])).
% 56.02/56.23  cnf(196,plain,
% 56.02/56.23     (~P4(a1,f6(a4),f6(a1))),
% 56.02/56.23     inference(scs_inference,[],[4,6,162,145,18,17,11,10,25])).
% 56.02/56.23  cnf(198,plain,
% 56.02/56.23     (~P4(f6(a4),a1,f6(a1))),
% 56.02/56.23     inference(scs_inference,[],[4,6,162,164,145,18,17,11,10,25,26])).
% 56.02/56.23  cnf(200,plain,
% 56.02/56.23     (~P2(f3(a4,a4),a1,a4)),
% 56.02/56.23     inference(scs_inference,[],[4,6,174,162,164,35,145,18,17,11,10,25,26,29])).
% 56.02/56.23  cnf(202,plain,
% 56.02/56.23     (~P4(f6(a4),a4,a4)),
% 56.02/56.23     inference(scs_inference,[],[4,6,168,174,162,164,35,145,18,17,11,10,25,26,29,22])).
% 56.02/56.23  cnf(204,plain,
% 56.02/56.23     (P3(f3(a4,a4),f3(a4,a4))),
% 56.02/56.23     inference(scs_inference,[],[4,6,168,174,166,162,164,35,145,18,17,11,10,25,26,29,22,24])).
% 56.02/56.23  cnf(208,plain,
% 56.02/56.23     (~P2(a1,f3(a4,a4),a4)),
% 56.02/56.23     inference(scs_inference,[],[4,6,168,174,166,162,164,35,145,18,17,11,10,25,26,29,22,24,71,23])).
% 56.02/56.23  cnf(210,plain,
% 56.02/56.23     (P2(a5,a4,a5)),
% 56.02/56.23     inference(scs_inference,[],[33,4,6,168,174,139,166,162,164,35,145,18,17,11,10,25,26,29,22,24,71,23,28])).
% 56.02/56.23  cnf(212,plain,
% 56.02/56.23     (P2(a4,a5,a5)),
% 56.02/56.23     inference(scs_inference,[],[33,4,6,5,168,174,139,166,162,164,35,145,18,17,11,10,25,26,29,22,24,71,23,28,27])).
% 56.02/56.23  cnf(214,plain,
% 56.02/56.23     (P3(a2,a2)),
% 56.02/56.23     inference(scs_inference,[],[3,33,4,6,5,168,174,139,166,162,164,35,145,18,17,11,10,25,26,29,22,24,71,23,28,27,9])).
% 56.02/56.23  cnf(221,plain,
% 56.02/56.23     (P2(f7(a1,a1),a4,f7(a1,a1))),
% 56.02/56.23     inference(scs_inference,[],[53,23])).
% 56.02/56.23  cnf(223,plain,
% 56.02/56.23     (P2(f3(a2,a2),a4,f3(a5,a5))),
% 56.02/56.23     inference(scs_inference,[],[33,190,53,81,23,30])).
% 56.02/56.23  cnf(225,plain,
% 56.02/56.23     (~P4(f6(a4),f6(a1),f6(a1))),
% 56.02/56.23     inference(scs_inference,[],[33,190,202,53,162,81,23,30,25])).
% 56.02/56.23  cnf(227,plain,
% 56.02/56.23     (P4(a4,f6(a1),a4)),
% 56.02/56.23     inference(scs_inference,[],[33,190,202,53,162,81,23,30,25,22])).
% 56.02/56.23  cnf(229,plain,
% 56.02/56.23     (~P4(f6(a1),f6(a1),f6(a4))),
% 56.02/56.23     inference(scs_inference,[],[33,190,202,53,162,81,23,30,25,22,26])).
% 56.02/56.23  cnf(231,plain,
% 56.02/56.23     (P4(a1,f3(a4,a4),f3(a4,a4))),
% 56.02/56.23     inference(scs_inference,[],[33,204,190,202,53,162,81,23,30,25,22,26,19])).
% 56.02/56.23  cnf(233,plain,
% 56.02/56.23     (~P4(a4,f6(a1),a1)),
% 56.02/56.23     inference(scs_inference,[],[33,204,190,202,53,162,81,23,30,25,22,26,19,147])).
% 56.02/56.23  cnf(235,plain,
% 56.02/56.23     (~P2(x2351,a2,a2)+P2(x2351,a5,a5)),
% 56.02/56.23     inference(scs_inference,[],[33,204,190,202,53,162,81,23,30,25,22,26,19,147,27])).
% 56.02/56.23  cnf(247,plain,
% 56.02/56.23     (P2(f3(a5,a5),a4,f3(a5,a5))),
% 56.02/56.23     inference(scs_inference,[],[210,190,30])).
% 56.02/56.23  cnf(249,plain,
% 56.02/56.23     (P4(a4,a1,a4)),
% 56.02/56.23     inference(scs_inference,[],[210,190,164,143,145,30,25])).
% 56.02/56.23  cnf(253,plain,
% 56.02/56.23     (P4(f3(a4,a4),f6(a1),f3(a4,a4))),
% 56.02/56.23     inference(scs_inference,[],[210,227,168,190,139,164,174,143,145,30,25,29,26])).
% 56.02/56.23  cnf(255,plain,
% 56.02/56.23     (~P4(f6(a1),f6(a4),f6(a1))),
% 56.02/56.23     inference(scs_inference,[],[210,225,227,168,190,139,164,174,143,145,30,25,29,26,22])).
% 56.02/56.23  cnf(257,plain,
% 56.02/56.23     (P4(a1,a2,a2)),
% 56.02/56.23     inference(scs_inference,[],[210,225,227,214,168,190,139,164,174,143,145,30,25,29,26,22,19])).
% 56.02/56.23  cnf(259,plain,
% 56.02/56.23     (P1(f6(a5))),
% 56.02/56.23     inference(scs_inference,[],[4,210,225,227,214,168,190,139,164,174,143,145,30,25,29,26,22,19,8])).
% 56.02/56.23  cnf(261,plain,
% 56.02/56.23     (P2(a4,f3(a1,a1),f3(a1,a1))),
% 56.02/56.23     inference(scs_inference,[],[4,210,49,225,227,214,168,190,139,164,174,143,145,30,25,29,26,22,19,8,14])).
% 56.02/56.23  cnf(263,plain,
% 56.02/56.23     (P4(a1,a5,a5)),
% 56.02/56.23     inference(scs_inference,[],[4,210,49,225,227,214,168,190,139,164,174,143,145,30,25,29,26,22,19,8,14,13])).
% 56.02/56.23  cnf(265,plain,
% 56.02/56.23     (P4(f6(a5),a5,a1)),
% 56.02/56.23     inference(scs_inference,[],[4,210,49,225,227,214,168,190,139,164,174,143,145,30,25,29,26,22,19,8,14,13,15])).
% 56.02/56.23  cnf(267,plain,
% 56.02/56.23     (~P2(a4,f6(a1),f6(a4))),
% 56.02/56.23     inference(scs_inference,[],[4,210,49,225,227,214,168,190,139,164,174,143,145,30,25,29,26,22,19,8,14,13,15,23])).
% 56.02/56.23  cnf(275,plain,
% 56.02/56.23     (P2(a1,a4,a1)),
% 56.02/56.23     inference(scs_inference,[],[35,23])).
% 56.02/56.23  cnf(277,plain,
% 56.02/56.23     (P2(a4,f7(a5,a5),f7(a5,a5))),
% 56.02/56.23     inference(scs_inference,[],[35,188,212,23,27])).
% 56.02/56.23  cnf(279,plain,
% 56.02/56.23     (P2(f3(a4,a4),a2,f3(a5,a5))),
% 56.02/56.23     inference(scs_inference,[],[35,5,188,212,190,174,23,27,30])).
% 56.02/56.23  cnf(281,plain,
% 56.02/56.23     (P2(f7(a4,a4),a4,f7(a4,a4))),
% 56.02/56.23     inference(scs_inference,[],[35,5,170,188,212,190,139,174,23,27,30,28])).
% 56.02/56.23  cnf(283,plain,
% 56.02/56.23     (P4(f6(a1),f3(a4,a4),f3(a4,a4))),
% 56.02/56.23     inference(scs_inference,[],[35,5,170,231,188,212,190,139,39,174,23,27,30,28,25])).
% 56.02/56.23  cnf(285,plain,
% 56.02/56.23     (P4(a1,f7(a1,a1),a1)),
% 56.02/56.23     inference(scs_inference,[],[35,5,170,231,188,249,212,190,43,139,39,174,23,27,30,28,25,29])).
% 56.02/56.23  cnf(289,plain,
% 56.02/56.23     (P4(f3(a4,a4),a1,f3(a4,a4))),
% 56.02/56.23     inference(scs_inference,[],[35,5,170,231,188,233,249,212,190,43,139,164,39,174,23,27,30,28,25,29,26,22])).
% 56.02/56.23  cnf(291,plain,
% 56.02/56.23     (P3(a5,a5)),
% 56.02/56.23     inference(scs_inference,[],[35,32,5,170,231,188,233,249,263,212,190,43,139,164,39,174,23,27,30,28,25,29,26,22,24])).
% 56.02/56.23  cnf(295,plain,
% 56.02/56.23     (~P4(a4,a1,a1)),
% 56.02/56.23     inference(scs_inference,[],[35,32,5,170,231,188,233,249,263,212,190,43,139,164,39,174,57,23,27,30,28,25,29,26,22,24,19,147])).
% 56.02/56.23  cnf(299,plain,
% 56.02/56.23     (P2(a4,f7(a4,a4),f7(a4,a4))),
% 56.02/56.23     inference(scs_inference,[],[170,139,27])).
% 56.02/56.23  cnf(301,plain,
% 56.02/56.23     (~P2(a4,a1,a4)),
% 56.02/56.23     inference(scs_inference,[],[35,200,170,249,139,174,27,30])).
% 56.02/56.23  cnf(303,plain,
% 56.02/56.23     (P2(f7(a4,a4),a1,a1)),
% 56.02/56.23     inference(scs_inference,[],[35,200,170,249,139,174,27,30,28])).
% 56.02/56.23  cnf(305,plain,
% 56.02/56.23     (~P4(a2,f6(a5),a1)),
% 56.02/56.23     inference(scs_inference,[],[31,35,200,265,170,263,249,139,174,27,30,28,25])).
% 56.02/56.23  cnf(307,plain,
% 56.02/56.23     (~P2(a1,a1,a4)),
% 56.02/56.23     inference(scs_inference,[],[31,35,200,295,265,170,263,249,143,139,174,27,30,28,25,29])).
% 56.02/56.23  cnf(309,plain,
% 56.02/56.23     (~P4(a1,a4,a1)),
% 56.02/56.23     inference(scs_inference,[],[31,35,200,295,265,170,263,249,143,139,174,27,30,28,25,29,22])).
% 56.02/56.23  cnf(312,plain,
% 56.02/56.23     (~P2(a4,f7(a1,a1),a4)),
% 56.02/56.23     inference(scs_inference,[],[31,35,200,295,265,170,263,249,143,139,174,27,30,28,25,29,22,65,51])).
% 56.02/56.23  cnf(314,plain,
% 56.02/56.23     (P2(f8(a4),a4,a4)),
% 56.02/56.23     inference(scs_inference,[],[31,35,200,295,265,170,263,249,143,139,174,2,27,30,28,25,29,22,65,51,20])).
% 56.02/56.23  cnf(316,plain,
% 56.02/56.23     (P2(f8(a4),a5,a5)),
% 56.02/56.23     inference(scs_inference,[],[31,35,200,295,265,170,263,249,143,139,174,2,27,30,28,25,29,22,65,51,20,110])).
% 56.02/56.23  cnf(318,plain,
% 56.02/56.23     (P1(f8(a4))),
% 56.02/56.23     inference(scs_inference,[],[31,35,200,295,265,170,263,249,143,139,174,2,27,30,28,25,29,22,65,51,20,110,16])).
% 56.02/56.23  cnf(320,plain,
% 56.02/56.23     (P2(f7(a1,a1),f7(a1,a1),f7(f7(a1,a1),f7(a1,a1)))),
% 56.02/56.23     inference(scs_inference,[],[31,35,200,47,295,265,170,263,249,143,139,174,2,27,30,28,25,29,22,65,51,20,110,16,18])).
% 56.02/56.23  cnf(322,plain,
% 56.02/56.23     (P4(f7(a1,a1),f7(a1,a1),f3(f7(a1,a1),f7(a1,a1)))),
% 56.02/56.23     inference(scs_inference,[],[31,35,200,47,295,265,170,263,249,143,139,174,2,27,30,28,25,29,22,65,51,20,110,16,18,17])).
% 56.02/56.23  cnf(328,plain,
% 56.02/56.23     (~P2(a1,a4,a4)),
% 56.02/56.23     inference(scs_inference,[],[31,35,200,47,295,265,170,263,249,143,139,174,2,27,30,28,25,29,22,65,51,20,110,16,18,17,11,10,23])).
% 56.02/56.23  cnf(332,plain,
% 56.02/56.23     (~P4(a4,a1,f7(a1,a1))),
% 56.02/56.23     inference(scs_inference,[],[31,35,291,200,285,47,295,265,170,263,190,249,143,139,174,2,27,30,28,25,29,22,65,51,20,110,16,18,17,11,10,23,24,26])).
% 56.02/56.23  cnf(334,plain,
% 56.02/56.23     (P3(a1,f7(f7(a1,a1),f7(a1,a1)))),
% 56.02/56.23     inference(scs_inference,[],[31,35,291,200,285,47,295,265,170,263,190,249,143,139,174,57,2,27,30,28,25,29,22,65,51,20,110,16,18,17,11,10,23,24,26,21])).
% 56.02/56.23  cnf(336,plain,
% 56.02/56.23     (P4(a1,f3(a5,a5),f3(a5,a5))),
% 56.02/56.23     inference(scs_inference,[],[31,35,291,200,285,47,295,265,170,263,190,249,143,139,174,57,2,27,30,28,25,29,22,65,51,20,110,16,18,17,11,10,23,24,26,21,19])).
% 56.02/56.23  cnf(340,plain,
% 56.02/56.23     (P4(f7(a2,a2),f7(a2,a2),f3(f7(a2,a2),f7(a2,a2)))),
% 56.02/56.23     inference(scs_inference,[],[83,18,17])).
% 56.02/56.23  cnf(346,plain,
% 56.02/56.23     (P2(f3(a1,a1),a4,f3(a1,a1))),
% 56.02/56.23     inference(scs_inference,[],[261,83,18,17,11,10,23])).
% 56.02/56.23  cnf(348,plain,
% 56.02/56.23     (P2(f8(a4),a1,a1)),
% 56.02/56.23     inference(scs_inference,[],[35,261,83,314,18,17,11,10,23,27])).
% 56.02/56.23  cnf(350,plain,
% 56.02/56.23     (~P4(f7(a1,a1),a1,a4)),
% 56.02/56.23     inference(scs_inference,[],[35,261,83,314,301,43,143,18,17,11,10,23,27,30])).
% 56.02/56.23  cnf(352,plain,
% 56.02/56.23     (~P2(f8(a4),a1,a4)),
% 56.02/56.23     inference(scs_inference,[],[35,261,83,314,301,43,143,18,17,11,10,23,27,30,28])).
% 56.02/56.23  cnf(354,plain,
% 56.02/56.23     (P3(f3(a2,a2),f3(a2,a2))),
% 56.02/56.23     inference(scs_inference,[],[35,261,83,314,301,214,81,43,143,18,17,11,10,23,27,30,28,24])).
% 56.02/56.23  cnf(356,plain,
% 56.02/56.23     (~P4(a4,a1,f6(a1))),
% 56.02/56.23     inference(scs_inference,[],[37,35,261,83,314,301,124,214,81,43,249,143,18,17,11,10,23,27,30,28,24,26])).
% 56.02/56.23  cnf(358,plain,
% 56.02/56.23     (P4(a1,f3(f7(a1,a1),f7(a1,a1)),a1)),
% 56.02/56.23     inference(scs_inference,[],[37,35,322,261,83,314,301,124,285,214,81,43,249,143,18,17,11,10,23,27,30,28,24,26,25])).
% 56.02/56.23  cnf(360,plain,
% 56.02/56.23     (~P4(a1,f8(a4),a1)),
% 56.02/56.23     inference(scs_inference,[],[37,35,322,275,261,83,314,301,309,124,285,214,81,43,249,143,18,17,11,10,23,27,30,28,24,26,25,29])).
% 56.02/56.23  cnf(362,plain,
% 56.02/56.23     (P4(f3(a5,a5),a1,f3(a5,a5))),
% 56.02/56.23     inference(scs_inference,[],[37,35,322,275,261,336,83,314,301,309,124,285,214,81,43,249,143,18,17,11,10,23,27,30,28,24,26,25,29,22])).
% 56.02/56.23  cnf(373,plain,
% 56.02/56.23     (~P2(f7(a1,a1),a4,a4)),
% 56.02/56.23     inference(scs_inference,[],[312,23])).
% 56.02/56.23  cnf(375,plain,
% 56.02/56.23     (P2(f3(a1,a1),a1,f3(f7(a1,a1),f7(a1,a1)))),
% 56.02/56.23     inference(scs_inference,[],[312,322,149,112,23,30])).
% 56.02/56.23  cnf(377,plain,
% 56.02/56.23     (~P2(a1,f3(a1,a1),a4)),
% 56.02/56.23     inference(scs_inference,[],[35,312,322,149,141,112,23,30,27])).
% 56.02/56.23  cnf(379,plain,
% 56.02/56.23     (~P2(f7(a1,a1),f7(a4,a4),a4)),
% 56.02/56.23     inference(scs_inference,[],[35,312,221,322,149,141,170,112,23,30,27,28])).
% 56.02/56.23  cnf(381,plain,
% 56.02/56.23     (~P4(f3(f7(a1,a1),f7(a1,a1)),a4,a1)),
% 56.02/56.23     inference(scs_inference,[],[6,35,312,221,358,322,149,141,170,112,143,23,30,27,28,25])).
% 56.02/56.23  cnf(383,plain,
% 56.02/56.23     (~P4(f6(a5),a2,a1)),
% 56.02/56.23     inference(scs_inference,[],[6,35,312,305,221,358,322,149,141,170,112,143,23,30,27,28,25,22])).
% 56.02/56.23  cnf(387,plain,
% 56.02/56.23     (~P4(f8(a4),a1,f7(a1,a1))),
% 56.02/56.23     inference(scs_inference,[],[6,39,35,312,305,221,358,332,257,322,149,141,275,170,314,7,112,143,23,30,27,28,25,22,26,29])).
% 56.02/56.23  cnf(389,plain,
% 56.02/56.23     (P4(a1,f3(a2,a2),f3(a2,a2))),
% 56.02/56.23     inference(scs_inference,[],[6,39,35,312,354,305,221,358,332,257,322,149,141,275,170,314,7,112,143,23,30,27,28,25,22,26,29,19])).
% 56.02/56.23  cnf(393,plain,
% 56.02/56.23     (P2(a4,f3(a5,a5),f3(a5,a5))),
% 56.02/56.23     inference(scs_inference,[],[6,39,35,312,354,305,221,176,194,358,332,257,322,149,141,275,170,314,7,112,143,23,30,27,28,25,22,26,29,19,8,14])).
% 56.02/56.23  cnf(395,plain,
% 56.02/56.23     (P4(a1,f7(a4,a4),f7(a4,a4))),
% 56.02/56.23     inference(scs_inference,[],[6,39,35,312,354,305,221,176,194,358,332,257,322,149,141,275,170,314,7,112,143,23,30,27,28,25,22,26,29,19,8,14,13])).
% 56.02/56.23  cnf(397,plain,
% 56.02/56.23     (P4(f6(f7(a4,a4)),f7(a4,a4),a1)),
% 56.02/56.23     inference(scs_inference,[],[6,39,35,312,354,305,221,176,194,358,332,257,322,149,141,275,170,314,7,112,143,23,30,27,28,25,22,26,29,19,8,14,13,15])).
% 56.02/56.23  cnf(400,plain,
% 56.02/56.23     (P2(f8(f8(a4)),f8(a4),a4)),
% 56.02/56.23     inference(scs_inference,[],[318,360,20])).
% 56.02/56.23  cnf(404,plain,
% 56.02/56.23     (P2(f7(a5,a5),a4,f7(a5,a5))),
% 56.02/56.23     inference(scs_inference,[],[277,318,360,20,16,23])).
% 56.02/56.23  cnf(406,plain,
% 56.02/56.23     (P2(f3(a1,a1),f3(a1,a1),f7(a1,a1))),
% 56.02/56.23     inference(scs_inference,[],[277,318,360,87,141,45,20,16,23,30])).
% 56.02/56.23  cnf(408,plain,
% 56.02/56.23     (P2(f3(a4,a4),a5,f3(a5,a5))),
% 56.02/56.23     inference(scs_inference,[],[33,277,279,247,318,360,87,141,45,20,16,23,30,27])).
% 56.02/56.23  cnf(410,plain,
% 56.02/56.23     (~P2(f8(a4),f7(a1,a1),f8(a4))),
% 56.02/56.23     inference(scs_inference,[],[33,277,279,247,318,360,87,312,141,45,20,16,23,30,27,28])).
% 56.02/56.23  cnf(412,plain,
% 56.02/56.23     (P4(f6(a1),f3(a2,a2),f3(a2,a2))),
% 56.02/56.23     inference(scs_inference,[],[33,39,277,279,389,247,318,360,87,312,141,45,20,16,23,30,27,28,25])).
% 56.02/56.23  cnf(414,plain,
% 56.02/56.23     (P4(f7(a4,a4),f6(f7(a4,a4)),a1)),
% 56.02/56.23     inference(scs_inference,[],[33,39,277,397,279,389,247,318,360,87,312,141,45,20,16,23,30,27,28,25,22])).
% 56.02/56.23  cnf(416,plain,
% 56.02/56.23     (~P4(f7(a4,a4),f8(a4),f7(a4,a4))),
% 56.02/56.23     inference(scs_inference,[],[33,39,277,397,279,389,247,318,360,87,312,141,45,20,16,23,30,27,28,25,22,26])).
% 56.02/56.23  cnf(418,plain,
% 56.02/56.23     (~P2(f6(a1),a1,f8(a4))),
% 56.02/56.23     inference(scs_inference,[],[33,39,35,277,397,279,389,247,318,360,87,312,227,141,45,20,16,23,30,27,28,25,22,26,29])).
% 56.02/56.23  cnf(422,plain,
% 56.02/56.23     (P3(f7(a5,a5),f7(a5,a5))),
% 56.02/56.23     inference(scs_inference,[],[33,39,35,277,397,279,192,389,247,318,360,334,87,312,227,141,45,20,16,23,30,27,28,25,22,26,29,19,9])).
% 56.02/56.23  cnf(424,plain,
% 56.02/56.23     (~P2(f7(a1,a1),f8(a4),f8(a4))),
% 56.02/56.23     inference(scs_inference,[],[410,23])).
% 56.02/56.23  cnf(426,plain,
% 56.02/56.23     (P2(f3(a4,a4),a1,a1)),
% 56.02/56.23     inference(scs_inference,[],[37,35,410,174,23,30])).
% 56.02/56.23  cnf(428,plain,
% 56.02/56.23     (P2(f8(a4),f7(a4,a4),f7(a4,a4))),
% 56.02/56.23     inference(scs_inference,[],[37,35,299,410,314,174,23,30,27])).
% 56.02/56.23  cnf(430,plain,
% 56.02/56.23     (P2(f7(a4,a4),f7(a4,a4),f7(a4,a4))),
% 56.02/56.23     inference(scs_inference,[],[37,35,299,410,170,314,174,23,30,27,28])).
% 56.02/56.23  cnf(432,plain,
% 56.02/56.23     (~P4(a1,f6(a4),f3(f7(a1,a1),f7(a1,a1)))),
% 56.02/56.23     inference(scs_inference,[],[37,35,299,410,381,170,314,145,174,23,30,27,28,26])).
% 56.02/56.23  cnf(434,plain,
% 56.02/56.23     (~P4(f6(f7(a4,a4)),f7(a4,a4),f8(a4))),
% 56.02/56.23     inference(scs_inference,[],[37,35,299,416,410,414,395,381,170,314,145,174,23,30,27,28,26,25])).
% 56.02/56.23  cnf(436,plain,
% 56.02/56.23     (~P4(f8(a4),f7(a4,a4),f7(a4,a4))),
% 56.02/56.23     inference(scs_inference,[],[37,35,299,416,410,414,395,381,170,314,145,174,23,30,27,28,26,25,22])).
% 56.02/56.23  cnf(438,plain,
% 56.02/56.23     (~P2(f6(a1),a4,a4)),
% 56.02/56.23     inference(scs_inference,[],[37,39,35,299,416,410,414,395,381,275,295,170,314,145,174,23,30,27,28,26,25,22,29])).
% 56.02/56.23  cnf(440,plain,
% 56.02/56.23     (P3(f6(a1),f6(a1))),
% 56.02/56.23     inference(scs_inference,[],[41,37,39,35,299,416,410,414,395,381,275,295,170,314,145,174,23,30,27,28,26,25,22,29,9])).
% 56.02/56.23  cnf(444,plain,
% 56.02/56.23     (P2(a4,f3(a2,a2),f3(a5,a5))),
% 56.02/56.23     inference(scs_inference,[],[223,23])).
% 56.02/56.23  cnf(448,plain,
% 56.02/56.23     (P2(f8(f8(a4)),a1,a1)),
% 56.02/56.23     inference(scs_inference,[],[32,35,223,348,400,395,23,24,27])).
% 56.02/56.23  cnf(450,plain,
% 56.02/56.23     (~P2(a1,f7(a4,a4),a4)),
% 56.02/56.23     inference(scs_inference,[],[32,35,223,348,328,400,395,275,170,23,24,27,28])).
% 56.02/56.23  cnf(452,plain,
% 56.02/56.23     (~P4(a1,a1,f8(a4))),
% 56.02/56.23     inference(scs_inference,[],[32,35,223,436,348,328,400,395,275,170,23,24,27,28,26])).
% 56.02/56.23  cnf(454,plain,
% 56.02/56.23     (~P4(a4,f6(a1),f6(a1))),
% 56.02/56.23     inference(scs_inference,[],[32,39,35,223,436,348,328,400,395,295,275,170,23,24,27,28,26,25])).
% 56.02/56.23  cnf(456,plain,
% 56.02/56.23     (P4(f3(a2,a2),f6(a1),f3(a2,a2))),
% 56.02/56.23     inference(scs_inference,[],[32,39,35,223,412,436,348,328,400,395,295,275,170,23,24,27,28,26,25,22])).
% 56.02/56.23  cnf(458,plain,
% 56.02/56.23     (~P2(f6(a1),a1,a4)),
% 56.02/56.23     inference(scs_inference,[],[32,39,35,223,412,436,348,328,400,395,295,275,170,162,23,24,27,28,26,25,22,29])).
% 56.02/56.23  cnf(460,plain,
% 56.02/56.23     (P4(a1,f7(a5,a5),f7(a5,a5))),
% 56.02/56.23     inference(scs_inference,[],[32,39,35,223,422,412,436,348,328,400,395,295,275,170,162,23,24,27,28,26,25,22,29,19])).
% 56.02/56.23  cnf(462,plain,
% 56.02/56.23     (P2(f6(a1),f6(a1),f7(f6(a1),f6(a1)))),
% 56.02/56.23     inference(scs_inference,[],[41,32,39,35,223,422,412,436,348,328,400,395,295,275,170,162,23,24,27,28,26,25,22,29,19,18])).
% 56.02/56.23  cnf(464,plain,
% 56.02/56.23     (P4(f6(a1),f6(a1),f3(f6(a1),f6(a1)))),
% 56.02/56.23     inference(scs_inference,[],[41,32,39,35,223,422,412,436,348,328,400,395,295,275,170,162,23,24,27,28,26,25,22,29,19,18,17])).
% 56.02/56.23  cnf(472,plain,
% 56.02/56.23     (P2(f3(a2,a2),f3(a2,a2),f7(f3(a2,a2),f3(a2,a2)))),
% 56.02/56.23     inference(scs_inference,[],[77,18])).
% 56.02/56.24  cnf(476,plain,
% 56.02/56.24     (P4(f3(a2,a2),f3(a2,a2),f3(f3(a2,a2),f3(a2,a2)))),
% 56.02/56.24     inference(scs_inference,[],[77,18,10,17])).
% 56.02/56.24  cnf(480,plain,
% 56.02/56.24     (~P2(f7(a4,a4),f7(a1,a1),a4)),
% 56.02/56.24     inference(scs_inference,[],[379,77,18,10,17,11,23])).
% 56.02/56.24  cnf(482,plain,
% 56.02/56.24     (~P4(f7(a1,a1),f7(a1,a1),a4)),
% 56.02/56.24     inference(scs_inference,[],[43,37,379,77,307,18,10,17,11,23,30])).
% 56.02/56.24  cnf(484,plain,
% 56.02/56.24     (~P2(f8(a4),a1,f8(a4))),
% 56.02/56.24     inference(scs_inference,[],[43,37,379,77,307,400,301,18,10,17,11,23,30,28])).
% 56.02/56.24  cnf(486,plain,
% 56.02/56.24     (~P4(f6(a4),a1,f3(f7(a1,a1),f7(a1,a1)))),
% 56.02/56.24     inference(scs_inference,[],[43,37,379,77,432,307,400,301,164,145,18,10,17,11,23,30,28,26])).
% 56.02/56.24  cnf(488,plain,
% 56.02/56.24     (P4(f7(a4,a4),a1,f7(a4,a4))),
% 56.02/56.24     inference(scs_inference,[],[43,37,379,77,432,307,400,414,301,397,395,164,145,18,10,17,11,23,30,28,26,25])).
% 56.02/56.24  cnf(490,plain,
% 56.02/56.24     (P4(a1,f6(a1),f6(a1))),
% 56.02/56.24     inference(scs_inference,[],[43,37,379,77,432,440,307,400,414,301,397,395,164,145,18,10,17,11,23,30,28,26,25,19])).
% 56.02/56.24  cnf(494,plain,
% 56.02/56.24     (~P2(f3(a1,a1),f3(a1,a1),a4)),
% 56.02/56.24     inference(scs_inference,[],[43,37,406,379,434,77,432,440,307,400,414,149,301,397,395,164,145,18,10,17,11,23,30,28,26,25,19,22,29])).
% 56.02/56.24  cnf(498,plain,
% 56.02/56.24     (P4(f6(f6(a1)),f6(a1),a1)),
% 56.02/56.24     inference(scs_inference,[],[43,41,37,406,379,434,77,432,440,307,400,414,149,301,397,395,164,145,18,10,17,11,23,30,28,26,25,19,22,29,8,15])).
% 56.02/56.24  cnf(500,plain,
% 56.02/56.24     (P2(a4,f6(a1),f6(a1))),
% 56.02/56.24     inference(scs_inference,[],[43,41,37,406,379,434,77,432,440,307,400,414,149,301,397,395,164,145,18,10,17,11,23,30,28,26,25,19,22,29,8,15,14])).
% 56.02/56.24  cnf(502,plain,
% 56.02/56.24     (P4(a1,f6(a5),f6(a5))),
% 56.02/56.24     inference(scs_inference,[],[43,41,37,406,379,434,77,259,432,440,307,400,414,149,301,397,395,164,145,18,10,17,11,23,30,28,26,25,19,22,29,8,15,14,13])).
% 56.02/56.24  cnf(510,plain,
% 56.02/56.24     (P2(a5,f8(a4),a5)),
% 56.02/56.24     inference(scs_inference,[],[316,23])).
% 56.02/56.24  cnf(514,plain,
% 56.02/56.24     (~P4(f7(f6(a1),f6(a1)),f6(a1),f6(a4))),
% 56.02/56.24     inference(scs_inference,[],[32,316,462,500,502,267,162,23,24,30])).
% 56.02/56.24  cnf(516,plain,
% 56.02/56.24     (P2(f7(a4,a4),f7(a1,a1),f7(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[32,43,316,462,303,500,502,267,162,23,24,30,27])).
% 56.02/56.24  cnf(518,plain,
% 56.02/56.24     (P4(f6(a1),f7(a5,a5),f7(a5,a5))),
% 56.02/56.24     inference(scs_inference,[],[32,43,39,316,462,303,460,500,502,267,162,23,24,30,27,25])).
% 56.02/56.24  cnf(520,plain,
% 56.02/56.24     (~P4(f6(a1),a4,f6(a1))),
% 56.02/56.24     inference(scs_inference,[],[32,43,39,316,462,303,460,498,500,502,267,309,162,23,24,30,27,25,26])).
% 56.02/56.24  cnf(522,plain,
% 56.02/56.24     (P4(f6(a1),a1,f6(a1))),
% 56.02/56.24     inference(scs_inference,[],[32,43,39,316,462,490,303,460,498,500,502,267,309,162,23,24,30,27,25,26,22])).
% 56.02/56.24  cnf(524,plain,
% 56.02/56.24     (~P2(f6(a1),f6(a1),f6(a4))),
% 56.02/56.24     inference(scs_inference,[],[32,43,39,316,462,255,490,303,460,498,500,502,267,309,227,162,23,24,30,27,25,26,22,29])).
% 56.02/56.24  cnf(526,plain,
% 56.02/56.24     (P2(f3(a5,a5),x5261,f3(a5,a5))+~P2(f3(a2,a2),x5261,f3(a2,a2))),
% 56.02/56.24     inference(scs_inference,[],[32,43,39,316,462,255,490,303,444,460,498,500,502,267,309,227,162,23,24,30,27,25,26,22,29,28])).
% 56.02/56.24  cnf(528,plain,
% 56.02/56.24     (~P3(a1,f8(a4))+~P3(f8(a4),a1)),
% 56.02/56.24     inference(scs_inference,[],[32,43,39,316,462,255,490,303,452,444,460,498,500,502,267,309,227,162,23,24,30,27,25,26,22,29,28,19])).
% 56.02/56.24  cnf(530,plain,
% 56.02/56.24     (P2(a1,a1,f3(f7(a1,a1),f7(a1,a1)))),
% 56.02/56.24     inference(scs_inference,[],[43,37,322,30])).
% 56.02/56.24  cnf(532,plain,
% 56.02/56.24     (~P2(f3(a1,a1),a1,a4)),
% 56.02/56.24     inference(scs_inference,[],[43,37,377,322,30,23])).
% 56.02/56.24  cnf(534,plain,
% 56.02/56.24     (P2(f8(a4),f3(a5,a5),f3(a5,a5))),
% 56.02/56.24     inference(scs_inference,[],[43,37,377,393,322,314,30,23,27])).
% 56.02/56.24  cnf(536,plain,
% 56.02/56.24     (P2(f3(a5,a5),f8(a4),f3(a5,a5))),
% 56.02/56.24     inference(scs_inference,[],[43,37,377,393,408,510,322,314,30,23,27,28])).
% 56.02/56.24  cnf(538,plain,
% 56.02/56.24     (~P4(f6(a4),a1,f7(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[43,37,377,393,408,486,510,322,285,314,30,23,27,28,25])).
% 56.02/56.24  cnf(540,plain,
% 56.02/56.24     (P4(f3(f6(a1),f6(a1)),f3(a4,a4),f3(a4,a4))),
% 56.02/56.24     inference(scs_inference,[],[43,37,283,464,377,393,408,486,510,322,285,314,30,23,27,28,25,26])).
% 56.02/56.24  cnf(542,plain,
% 56.02/56.24     (~P4(f6(a1),f7(f6(a1),f6(a1)),f6(a4))),
% 56.02/56.24     inference(scs_inference,[],[43,37,283,464,377,514,393,408,486,510,322,285,314,30,23,27,28,25,26,22])).
% 56.02/56.24  cnf(550,plain,
% 56.02/56.24     (P3(a1,f3(f7(a1,a1),f7(a1,a1)))),
% 56.02/56.24     inference(scs_inference,[],[530,32,21])).
% 56.02/56.24  cnf(552,plain,
% 56.02/56.24     (P2(f7(a1,a1),f7(a4,a4),f7(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[516,530,32,21,23])).
% 56.02/56.24  cnf(554,plain,
% 56.02/56.24     (P2(f3(a4,a4),a1,f3(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[45,35,516,530,32,174,21,23,30])).
% 56.02/56.24  cnf(556,plain,
% 56.02/56.24     (P2(f8(f8(a4)),f3(a5,a5),f3(a5,a5))),
% 56.02/56.24     inference(scs_inference,[],[45,35,516,534,530,393,400,32,174,21,23,30,27])).
% 56.02/56.24  cnf(558,plain,
% 56.02/56.24     (~P2(f3(a4,a4),f7(a1,a1),a4)),
% 56.02/56.24     inference(scs_inference,[],[45,43,35,516,532,534,530,393,400,32,174,21,23,30,27,28])).
% 56.02/56.24  cnf(560,plain,
% 56.02/56.24     (P4(f6(a1),f3(a1,a1),a1)),
% 56.02/56.24     inference(scs_inference,[],[45,39,43,35,516,532,534,522,530,393,400,32,174,21,23,30,27,28,25])).
% 56.02/56.24  cnf(562,plain,
% 56.02/56.24     (~P4(a4,f3(a1,a1),f6(a1))),
% 56.02/56.24     inference(scs_inference,[],[45,39,43,35,516,532,534,522,530,356,393,400,32,249,174,21,23,30,27,28,25,26])).
% 56.02/56.24  cnf(564,plain,
% 56.02/56.24     (P4(f3(a4,a4),f3(f6(a1),f6(a1)),f3(a4,a4))),
% 56.02/56.24     inference(scs_inference,[],[45,39,43,35,516,540,532,534,522,530,356,393,400,32,249,174,21,23,30,27,28,25,26,22])).
% 56.02/56.24  cnf(566,plain,
% 56.02/56.24     (~P2(f3(f6(a1),f6(a1)),a1,a4)),
% 56.02/56.24     inference(scs_inference,[],[45,39,43,35,516,540,532,534,522,530,426,356,393,400,32,249,295,174,21,23,30,27,28,25,26,22,29])).
% 56.02/56.24  cnf(583,plain,
% 56.02/56.24     (~P2(a4,f6(a1),a4)),
% 56.02/56.24     inference(scs_inference,[],[438,23])).
% 56.02/56.24  cnf(587,plain,
% 56.02/56.24     (~P2(f7(a4,a4),a1,f8(a4))),
% 56.02/56.24     inference(scs_inference,[],[373,428,438,484,303,139,275,143,23,30,27])).
% 56.02/56.24  cnf(589,plain,
% 56.02/56.24     (~P2(a4,f7(f6(a1),f6(a1)),f6(a4))),
% 56.02/56.24     inference(scs_inference,[],[373,428,438,524,484,303,462,500,139,275,143,23,30,27,28])).
% 56.02/56.24  cnf(591,plain,
% 56.02/56.24     (P4(f3(a4,a4),f3(a1,a1),f3(a4,a4))),
% 56.02/56.24     inference(scs_inference,[],[45,289,373,428,438,524,484,303,462,500,139,275,143,23,30,27,28,25])).
% 56.02/56.24  cnf(593,plain,
% 56.02/56.24     (P4(f3(a1,a1),f3(a5,a5),f3(a5,a5))),
% 56.02/56.24     inference(scs_inference,[],[45,289,373,428,438,524,484,336,303,462,500,139,275,143,23,30,27,28,25,26])).
% 56.02/56.24  cnf(595,plain,
% 56.02/56.24     (~P2(a1,a4,f8(a4))),
% 56.02/56.24     inference(scs_inference,[],[45,289,281,373,428,438,524,484,336,303,462,436,500,395,139,275,143,23,30,27,28,25,26,29])).
% 56.02/56.24  cnf(601,plain,
% 56.02/56.24     (P4(f6(f7(a1,a1)),f7(a1,a1),a1)),
% 56.02/56.24     inference(scs_inference,[],[47,45,289,281,373,428,438,524,387,484,336,303,462,436,500,395,139,275,143,23,30,27,28,25,26,29,22,8,15])).
% 56.02/56.24  cnf(603,plain,
% 56.02/56.24     (P2(a4,f6(a4),f6(a4))),
% 56.02/56.24     inference(scs_inference,[],[47,45,289,281,373,428,438,524,387,484,336,303,462,436,137,500,395,139,275,143,23,30,27,28,25,26,29,22,8,15,14])).
% 56.02/56.24  cnf(605,plain,
% 56.02/56.24     (P4(a1,f7(a1,a1),f7(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[47,45,289,281,373,428,438,524,387,484,336,303,462,436,137,500,395,139,275,143,23,30,27,28,25,26,29,22,8,15,14,13])).
% 56.02/56.24  cnf(609,plain,
% 56.02/56.24     (P2(f3(a1,a1),f3(a1,a1),f7(f3(a1,a1),f3(a1,a1)))),
% 56.02/56.24     inference(scs_inference,[],[47,45,289,281,373,428,438,524,387,484,336,303,462,49,436,137,500,395,139,275,143,23,30,27,28,25,26,29,22,8,15,14,13,10,18])).
% 56.02/56.24  cnf(611,plain,
% 56.02/56.24     (P4(f3(a1,a1),f3(a1,a1),f3(f3(a1,a1),f3(a1,a1)))),
% 56.02/56.24     inference(scs_inference,[],[47,45,289,281,373,428,438,524,387,484,336,303,462,49,436,137,500,395,139,275,143,23,30,27,28,25,26,29,22,8,15,14,13,10,18,17])).
% 56.02/56.24  cnf(619,plain,
% 56.02/56.24     (P3(f6(a4),f6(a4))+~P3(f7(a1,a1),f7(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[47,45,289,281,373,428,438,524,387,484,336,303,462,49,436,137,87,500,227,395,139,275,143,23,30,27,28,25,26,29,22,8,15,14,13,10,18,17,11,24,116,9])).
% 56.02/56.24  cnf(628,plain,
% 56.02/56.24     (P4(f6(a5),f6(a5),f3(f6(a5),f6(a5)))),
% 56.02/56.24     inference(scs_inference,[],[259,10,18,17])).
% 56.02/56.24  cnf(632,plain,
% 56.02/56.24     (~P4(f6(a1),f7(f6(a1),f6(a1)),a4)),
% 56.02/56.24     inference(scs_inference,[],[583,259,462,500,227,10,18,17,11,30])).
% 56.02/56.24  cnf(634,plain,
% 56.02/56.24     (P2(a1,f3(a1,a1),f3(f7(a1,a1),f7(a1,a1)))),
% 56.02/56.24     inference(scs_inference,[],[375,583,259,462,500,227,10,18,17,11,30,23])).
% 56.02/56.24  cnf(636,plain,
% 56.02/56.24     (P2(f8(f8(a4)),f7(a1,a1),f7(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[43,375,448,583,259,462,500,227,10,18,17,11,30,23,27])).
% 56.02/56.24  cnf(638,plain,
% 56.02/56.24     (P2(f7(a5,a5),f8(a4),f7(a5,a5))),
% 56.02/56.24     inference(scs_inference,[],[43,375,448,583,259,510,462,188,500,227,10,18,17,11,30,23,27,28])).
% 56.02/56.24  cnf(640,plain,
% 56.02/56.24     (P4(f6(a1),f3(a5,a5),f3(a5,a5))),
% 56.02/56.24     inference(scs_inference,[],[43,375,593,448,583,259,510,108,462,188,500,227,10,18,17,11,30,23,27,28,25])).
% 56.02/56.24  cnf(642,plain,
% 56.02/56.24     (P4(f3(a2,a2),a1,f3(a2,a2))),
% 56.02/56.24     inference(scs_inference,[],[43,375,593,456,448,583,259,522,510,108,462,188,500,227,10,18,17,11,30,23,27,28,25,26])).
% 56.02/56.24  cnf(644,plain,
% 56.02/56.24     (~P2(f3(f3(a1,a1),f3(a1,a1)),f3(a1,a1),a4)),
% 56.02/56.24     inference(scs_inference,[],[43,375,611,593,456,448,482,583,406,259,522,510,108,462,188,500,227,10,18,17,11,30,23,27,28,25,26,29])).
% 56.02/56.24  cnf(646,plain,
% 56.02/56.24     (P4(f3(a1,a1),f3(a4,a4),f3(a4,a4))),
% 56.02/56.24     inference(scs_inference,[],[43,375,611,591,593,456,448,482,583,406,259,522,510,108,462,188,500,227,10,18,17,11,30,23,27,28,25,26,29,22])).
% 56.02/56.24  cnf(651,plain,
% 56.02/56.24     (~P2(f8(a4),f8(a4),x6511)+~P4(f3(f7(a1,a1),f7(a1,a1)),a1,f8(a4))+P3(a1,x6511)),
% 56.02/56.24     inference(scs_inference,[],[37,43,375,611,591,593,456,448,550,482,583,406,259,522,510,108,462,188,500,227,10,18,17,11,30,23,27,28,25,26,29,22,24,528,21])).
% 56.02/56.24  cnf(657,plain,
% 56.02/56.24     (~P4(f3(f7(a1,a1),f7(a1,a1)),f3(a1,a1),a4)),
% 56.02/56.24     inference(scs_inference,[],[646,554,375,200,30])).
% 56.02/56.24  cnf(659,plain,
% 56.02/56.24     (~P2(a1,f6(a1),a4)),
% 56.02/56.24     inference(scs_inference,[],[646,458,554,375,200,30,23])).
% 56.02/56.24  cnf(661,plain,
% 56.02/56.24     (P2(f8(a4),f7(a1,a1),f7(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[43,646,458,554,375,348,200,30,23,27])).
% 56.02/56.24  cnf(663,plain,
% 56.02/56.24     (~P4(a5,a1,a2)),
% 56.02/56.24     inference(scs_inference,[],[37,43,646,383,458,554,375,348,200,265,30,23,27,25])).
% 56.02/56.24  cnf(665,plain,
% 56.02/56.24     (~P2(f8(f8(a4)),f7(a1,a1),a4)),
% 56.02/56.24     inference(scs_inference,[],[37,43,552,636,646,383,458,554,375,348,200,379,265,30,23,27,25,28])).
% 56.02/56.24  cnf(667,plain,
% 56.02/56.24     (P4(f3(f3(a1,a1),f3(a1,a1)),f3(a4,a4),f3(a4,a4))),
% 56.02/56.24     inference(scs_inference,[],[37,43,552,636,646,383,458,554,375,611,348,200,379,265,30,23,27,25,28,26])).
% 56.02/56.24  cnf(669,plain,
% 56.02/56.24     (~P4(a1,f6(a4),f7(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[37,43,552,636,646,383,458,554,538,375,611,348,200,379,265,30,23,27,25,28,26,22])).
% 56.02/56.24  cnf(671,plain,
% 56.02/56.24     (~P2(a1,f8(a4),x6711)+P4(f3(a5,a5),x6711,f3(a5,a5))),
% 56.02/56.24     inference(scs_inference,[],[37,43,362,536,552,636,646,383,458,554,538,375,611,348,200,379,265,30,23,27,25,28,26,22,29])).
% 56.02/56.24  cnf(673,plain,
% 56.02/56.24     (P2(f3(a5,a5),f8(f8(a4)),f3(a5,a5))),
% 56.02/56.24     inference(scs_inference,[],[556,23])).
% 56.02/56.24  cnf(675,plain,
% 56.02/56.24     (P2(f3(a2,a2),a2,f3(f7(a2,a2),f7(a2,a2)))),
% 56.02/56.24     inference(scs_inference,[],[340,556,75,81,23,30])).
% 56.02/56.24  cnf(677,plain,
% 56.02/56.24     (P2(f3(a1,a1),f7(a4,a4),f3(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[346,340,556,75,81,170,23,30,27])).
% 56.02/56.24  cnf(679,plain,
% 56.02/56.24     (P4(f3(a4,a4),f3(f3(a1,a1),f3(a1,a1)),f3(a4,a4))),
% 56.02/56.24     inference(scs_inference,[],[346,340,556,591,75,611,81,170,23,30,27,25])).
% 56.02/56.24  cnf(681,plain,
% 56.02/56.24     (P2(f7(a4,a4),f6(a4),f6(a4))),
% 56.02/56.24     inference(scs_inference,[],[346,340,556,603,591,75,611,81,170,23,30,27,25,28])).
% 56.02/56.24  cnf(683,plain,
% 56.02/56.24     (~P4(f6(a1),a1,f6(a4))),
% 56.02/56.24     inference(scs_inference,[],[37,346,198,340,556,603,591,75,611,522,81,170,23,30,27,25,28,26])).
% 56.02/56.24  cnf(685,plain,
% 56.02/56.24     (P4(f3(a5,a5),f6(a1),f3(a5,a5))),
% 56.02/56.24     inference(scs_inference,[],[37,346,198,340,556,640,603,591,75,611,522,81,170,23,30,27,25,28,26,22])).
% 56.02/56.24  cnf(691,plain,
% 56.02/56.24     (P2(f3(a4,a4),f7(a1,a1),f7(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[53,87,174,30])).
% 56.02/56.24  cnf(693,plain,
% 56.02/56.24     (~P2(a4,a1,f8(a4))),
% 56.02/56.24     inference(scs_inference,[],[53,595,87,174,30,23])).
% 56.02/56.24  cnf(695,plain,
% 56.02/56.24     (~P2(f7(f3(a1,a1),f3(a1,a1)),f7(a4,a4),a4)),
% 56.02/56.24     inference(scs_inference,[],[53,609,595,677,494,87,174,30,23,27])).
% 56.02/56.24  cnf(697,plain,
% 56.02/56.24     (P4(f6(f7(a1,a1)),f7(a1,a1),f7(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[53,609,595,677,601,605,494,87,174,30,23,27,25])).
% 56.02/56.24  cnf(701,plain,
% 56.02/56.24     (P4(a1,f6(a1),f3(f6(a1),f6(a1)))),
% 56.02/56.24     inference(scs_inference,[],[39,53,609,595,677,601,605,494,490,464,448,87,275,174,30,23,27,25,28,26])).
% 56.02/56.24  cnf(705,plain,
% 56.02/56.24     (~P4(f3(a1,a1),f3(f7(a1,a1),f7(a1,a1)),a4)),
% 56.02/56.24     inference(scs_inference,[],[39,53,43,609,595,677,601,605,657,494,669,490,464,448,303,414,87,275,174,30,23,27,25,28,26,29,22])).
% 56.02/56.24  cnf(709,plain,
% 56.02/56.24     (P4(f6(f3(a1,a1)),f3(a1,a1),a1)),
% 56.02/56.24     inference(scs_inference,[],[39,53,49,43,609,595,677,601,605,657,494,669,490,464,448,303,414,87,275,174,30,23,27,25,28,26,29,22,8,15])).
% 56.02/56.24  cnf(711,plain,
% 56.02/56.24     (P2(a4,f3(a4,a4),f3(a4,a4))),
% 56.02/56.24     inference(scs_inference,[],[39,53,49,43,609,595,677,601,605,657,494,669,490,464,448,303,414,172,87,275,174,30,23,27,25,28,26,29,22,8,15,14])).
% 56.02/56.24  cnf(713,plain,
% 56.02/56.24     (P4(a1,f8(a4),f8(a4))),
% 56.02/56.24     inference(scs_inference,[],[39,53,49,43,609,595,677,601,605,657,494,669,490,464,448,303,414,172,318,87,275,174,30,23,27,25,28,26,29,22,8,15,14,13])).
% 56.02/56.24  cnf(721,plain,
% 56.02/56.24     (P2(f7(a1,a1),f3(a4,a4),f7(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[691,713,32,24,23])).
% 56.02/56.24  cnf(723,plain,
% 56.02/56.24     (~P2(f3(f7(a1,a1),f7(a1,a1)),a4,a4)),
% 56.02/56.24     inference(scs_inference,[],[691,634,713,346,377,32,24,23,27])).
% 56.02/56.24  cnf(725,plain,
% 56.02/56.24     (~P2(f8(a4),f6(a1),f8(a4))),
% 56.02/56.24     inference(scs_inference,[],[691,634,713,346,377,583,400,32,24,23,27,28])).
% 56.02/56.24  cnf(727,plain,
% 56.02/56.24     (~P4(f3(f6(a1),f6(a1)),a1,f6(a4))),
% 56.02/56.24     inference(scs_inference,[],[39,691,634,683,713,346,377,583,464,400,32,24,23,27,28,25])).
% 56.02/56.24  cnf(729,plain,
% 56.02/56.24     (P4(f3(a1,a1),f3(f7(a1,a1),f7(a1,a1)),f3(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[39,45,691,634,683,713,346,358,377,583,464,400,32,24,23,27,28,25,26])).
% 56.02/56.24  cnf(731,plain,
% 56.02/56.24     (P4(f7(a1,a1),f6(f7(a1,a1)),f7(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[39,45,697,691,634,683,713,346,358,377,583,464,400,32,24,23,27,28,25,26,22])).
% 56.02/56.24  cnf(735,plain,
% 56.02/56.24     (P4(f7(a5,a5),f7(a5,a5),f3(f7(a5,a5),f7(a5,a5)))),
% 56.02/56.24     inference(scs_inference,[],[39,45,697,691,634,683,713,346,358,377,583,192,464,400,32,24,23,27,28,25,26,22,18,17])).
% 56.02/56.24  cnf(743,plain,
% 56.02/56.24     (P3(f7(a1,a1),f7(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[39,47,45,697,691,634,683,713,346,358,377,583,192,464,348,400,32,24,23,27,28,25,26,22,18,17,10,11,30,9])).
% 56.02/56.24  cnf(747,plain,
% 56.02/56.24     (P4(f6(a4),f6(a4),f6(a4))+~P4(f7(a4,a4),f7(a4,a4),f7(a4,a4))),
% 56.02/56.24     inference(scs_inference,[],[39,47,45,697,691,634,681,683,713,346,358,377,583,192,464,348,550,400,32,24,23,27,28,25,26,22,18,17,10,11,30,9,19,29])).
% 56.02/56.24  cnf(750,plain,
% 56.02/56.24     (P3(f6(a4),f6(a4))),
% 56.02/56.24     inference(scs_inference,[],[743,619])).
% 56.02/56.24  cnf(752,plain,
% 56.02/56.24     (P4(f3(a5,a5),f3(a5,a5),f3(f3(a5,a5),f3(a5,a5)))),
% 56.02/56.24     inference(scs_inference,[],[194,17])).
% 56.02/56.24  cnf(754,plain,
% 56.02/56.24     (P2(f3(a5,a5),f3(a5,a5),f7(f3(a5,a5),f3(a5,a5)))),
% 56.02/56.24     inference(scs_inference,[],[194,17,18])).
% 56.02/56.24  cnf(760,plain,
% 56.02/56.24     (~P2(f3(a1,a1),f3(f3(a1,a1),f3(a1,a1)),a4)),
% 56.02/56.24     inference(scs_inference,[],[644,194,17,18,10,11,23])).
% 56.02/56.24  cnf(762,plain,
% 56.02/56.24     (P2(f8(a4),f3(a4,a4),f3(a4,a4))),
% 56.02/56.24     inference(scs_inference,[],[644,711,194,314,17,18,10,11,23,27])).
% 56.02/56.24  cnf(764,plain,
% 56.02/56.24     (~P4(a1,f7(a1,a1),f8(a4))),
% 56.02/56.24     inference(scs_inference,[],[43,644,711,587,488,194,303,314,17,18,10,11,23,27,30])).
% 56.02/56.24  cnf(766,plain,
% 56.02/56.24     (~P4(a4,f6(a1),f7(f6(a1),f6(a1)))),
% 56.02/56.24     inference(scs_inference,[],[43,644,711,632,587,488,194,303,227,314,162,17,18,10,11,23,27,30,25])).
% 56.02/56.24  cnf(768,plain,
% 56.02/56.24     (~P2(a4,f7(f3(a1,a1),f3(a1,a1)),a4)),
% 56.02/56.24     inference(scs_inference,[],[43,644,711,632,587,261,609,488,494,194,303,227,314,162,17,18,10,11,23,27,30,25,28])).
% 56.02/56.24  cnf(772,plain,
% 56.02/56.24     (P4(f3(f6(a1),f6(a1)),f7(a5,a5),f7(a5,a5))),
% 56.02/56.24     inference(scs_inference,[],[43,721,518,644,711,632,587,261,609,488,482,494,194,464,303,322,227,314,162,17,18,10,11,23,27,30,25,28,29,26])).
% 56.02/56.24  cnf(788,plain,
% 56.02/56.24     (P2(f3(a4,a4),f8(a4),f3(a4,a4))),
% 56.02/56.24     inference(scs_inference,[],[762,23])).
% 56.02/56.24  cnf(790,plain,
% 56.02/56.24     (~P2(f7(a4,a4),f6(a4),f7(f6(a1),f6(a1)))),
% 56.02/56.24     inference(scs_inference,[],[762,589,681,299,23,27])).
% 56.02/56.24  cnf(792,plain,
% 56.02/56.24     (P2(f3(a1,a1),f3(a1,a1),f3(f7(a1,a1),f7(a1,a1)))),
% 56.02/56.24     inference(scs_inference,[],[45,762,589,681,299,141,322,23,27,30])).
% 56.02/56.24  cnf(794,plain,
% 56.02/56.24     (P4(a1,f6(a4),f6(a4))),
% 56.02/56.24     inference(scs_inference,[],[45,762,750,589,681,299,141,322,23,27,30,19])).
% 56.02/56.24  cnf(796,plain,
% 56.02/56.24     (P2(f3(a5,a5),f3(a2,a2),f7(f3(a5,a5),f3(a5,a5)))),
% 56.02/56.24     inference(scs_inference,[],[45,754,762,750,589,247,681,444,299,141,322,23,27,30,19,28])).
% 56.02/56.24  cnf(798,plain,
% 56.02/56.24     (P4(f6(f3(a1,a1)),f3(a1,a1),f3(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[45,754,762,709,750,589,247,681,444,85,299,141,322,23,27,30,19,28,25])).
% 56.02/56.24  cnf(800,plain,
% 56.02/56.24     (~P4(a1,f3(a1,a1),a4)),
% 56.02/56.24     inference(scs_inference,[],[45,729,754,762,705,709,750,589,247,681,444,85,79,299,141,322,23,27,30,19,28,25,26])).
% 56.02/56.24  cnf(802,plain,
% 56.02/56.24     (P4(f3(f7(a1,a1),f7(a1,a1)),f3(a1,a1),f3(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[45,729,754,762,705,709,750,589,247,681,444,85,79,299,141,322,23,27,30,19,28,25,26,22])).
% 56.02/56.24  cnf(810,plain,
% 56.02/56.24     (~P2(f7(a1,a1),f3(a4,a4),a4)),
% 56.02/56.24     inference(scs_inference,[],[665,636,721,27])).
% 56.02/56.24  cnf(814,plain,
% 56.02/56.24     (~P2(f8(a4),f7(f3(a1,a1),f3(a1,a1)),f8(a4))),
% 56.02/56.24     inference(scs_inference,[],[790,665,768,636,721,400,27,23,28])).
% 56.02/56.24  cnf(816,plain,
% 56.02/56.24     (~P4(f3(a1,a1),a1,a4)),
% 56.02/56.24     inference(scs_inference,[],[45,790,665,768,800,636,721,400,27,23,28,25])).
% 56.02/56.24  cnf(818,plain,
% 56.02/56.24     (P4(f7(a1,a1),f3(a1,a1),f3(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[43,45,790,665,768,800,636,721,554,231,400,27,23,28,25,29])).
% 56.02/56.24  cnf(820,plain,
% 56.02/56.24     (P4(f3(a1,a1),f6(a4),f6(a4))),
% 56.02/56.24     inference(scs_inference,[],[43,45,790,665,794,768,800,636,721,554,231,400,27,23,28,25,29,26])).
% 56.02/56.24  cnf(826,plain,
% 56.02/56.24     (P4(f6(f6(a4)),f6(a4),a1)),
% 56.02/56.24     inference(scs_inference,[],[43,45,790,350,665,794,768,800,636,721,554,231,137,400,27,23,28,25,29,26,22,8,15])).
% 56.02/56.24  cnf(828,plain,
% 56.02/56.24     (P2(a4,f8(a4),f8(a4))),
% 56.02/56.24     inference(scs_inference,[],[43,45,790,350,665,794,768,800,636,721,554,231,137,318,400,27,23,28,25,29,26,22,8,15,14])).
% 56.02/56.24  cnf(830,plain,
% 56.02/56.24     (P4(a1,f7(a2,a2),f7(a2,a2))),
% 56.02/56.24     inference(scs_inference,[],[43,45,790,350,665,794,768,800,636,721,554,231,137,318,83,400,27,23,28,25,29,26,22,8,15,14,13])).
% 56.02/56.24  cnf(838,plain,
% 56.02/56.24     (P2(f3(a4,a4),a4,f3(a4,a4))),
% 56.02/56.24     inference(scs_inference,[],[796,788,810,721,139,174,23,27,30])).
% 56.02/56.24  cnf(840,plain,
% 56.02/56.24     (P2(f7(a1,a1),f8(a4),f7(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[796,788,810,721,139,174,23,27,30,28])).
% 56.02/56.24  cnf(842,plain,
% 56.02/56.24     (P4(f6(a1),f7(a2,a2),f7(a2,a2))),
% 56.02/56.24     inference(scs_inference,[],[796,788,830,810,721,139,174,39,23,27,30,28,25])).
% 56.02/56.24  cnf(844,plain,
% 56.02/56.24     (~P4(f3(a1,a1),a4,f3(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[796,788,830,810,560,721,309,139,174,39,23,27,30,28,25,26])).
% 56.02/56.24  cnf(846,plain,
% 56.02/56.24     (P4(f3(a1,a1),f7(a1,a1),f3(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[818,796,788,830,810,560,721,309,139,174,39,23,27,30,28,25,26,22])).
% 56.02/56.24  cnf(852,plain,
% 56.02/56.24     (P2(f8(a4),f7(a5,a5),f7(a5,a5))),
% 56.02/56.24     inference(scs_inference,[],[842,277,440,314,24,27])).
% 56.02/56.24  cnf(854,plain,
% 56.02/56.24     (~P2(f7(f3(a1,a1),f3(a1,a1)),f8(a4),f8(a4))),
% 56.02/56.24     inference(scs_inference,[],[814,842,277,440,314,24,27,23])).
% 56.02/56.24  cnf(856,plain,
% 56.02/56.24     (P2(f3(a4,a4),f6(a1),f3(f6(a1),f6(a1)))),
% 56.02/56.24     inference(scs_inference,[],[814,842,277,440,464,500,314,174,24,27,23,30])).
% 56.02/56.24  cnf(858,plain,
% 56.02/56.24     (~P2(a4,f7(a1,a1),f8(a4))),
% 56.02/56.24     inference(scs_inference,[],[53,814,840,842,424,277,440,464,500,314,174,24,27,23,30,28])).
% 56.02/56.24  cnf(860,plain,
% 56.02/56.24     (~P4(f3(a1,a1),f6(a4),f7(f6(a1),f6(a1)))),
% 56.02/56.24     inference(scs_inference,[],[53,814,840,842,424,820,542,277,440,108,464,500,314,174,24,27,23,30,28,25])).
% 56.02/56.24  cnf(862,plain,
% 56.02/56.24     (~P2(f3(f3(a1,a1),f3(a1,a1)),a1,a4)),
% 56.02/56.24     inference(scs_inference,[],[53,667,814,840,842,424,820,542,277,440,426,108,464,500,295,314,174,24,27,23,30,28,25,29])).
% 56.02/56.24  cnf(864,plain,
% 56.02/56.24     (~P4(a1,f6(a4),f3(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[45,53,667,814,840,842,424,820,542,844,277,440,426,108,464,500,295,314,145,174,24,27,23,30,28,25,29,26])).
% 56.02/56.24  cnf(866,plain,
% 56.02/56.24     (~P4(a4,f3(a1,a1),f3(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[45,53,667,814,840,842,424,820,542,844,277,440,426,108,464,500,295,314,145,174,24,27,23,30,28,25,29,26,22])).
% 56.02/56.24  cnf(868,plain,
% 56.02/56.24     (P2(f7(a4,a4),f7(a4,a4),f7(f7(a4,a4),f7(a4,a4)))),
% 56.02/56.24     inference(scs_inference,[],[45,53,667,814,840,842,424,820,542,844,277,440,426,108,176,464,500,295,314,145,174,24,27,23,30,28,25,29,26,22,18])).
% 56.02/56.24  cnf(870,plain,
% 56.02/56.24     (P4(f7(a4,a4),f7(a4,a4),f3(f7(a4,a4),f7(a4,a4)))),
% 56.02/56.24     inference(scs_inference,[],[45,53,667,814,840,842,424,820,542,844,277,440,426,108,176,464,500,295,314,145,174,24,27,23,30,28,25,29,26,22,18,17])).
% 56.02/56.24  cnf(878,plain,
% 56.02/56.24     (P2(f3(a4,a4),f3(a4,a4),f7(f3(a4,a4),f3(a4,a4)))),
% 56.02/56.24     inference(scs_inference,[],[172,18])).
% 56.02/56.24  cnf(880,plain,
% 56.02/56.24     (P4(f3(a4,a4),f3(a4,a4),f3(f3(a4,a4),f3(a4,a4)))),
% 56.02/56.24     inference(scs_inference,[],[172,18,17])).
% 56.02/56.24  cnf(886,plain,
% 56.02/56.24     (P2(f8(f8(a4)),f3(a4,a4),f3(a4,a4))),
% 56.02/56.24     inference(scs_inference,[],[711,762,172,400,18,17,10,11,27])).
% 56.02/56.24  cnf(890,plain,
% 56.02/56.24     (~P2(a4,a4,f7(f3(a1,a1),f3(a1,a1)))),
% 56.02/56.24     inference(scs_inference,[],[675,854,711,762,828,172,400,18,17,10,11,27,23,28])).
% 56.02/56.24  cnf(892,plain,
% 56.02/56.24     (P4(a1,f6(a1),f3(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[45,73,675,854,711,762,828,172,522,400,18,17,10,11,27,23,28,25])).
% 56.02/56.24  cnf(894,plain,
% 56.02/56.24     (~P2(f3(f7(a1,a1),f7(a1,a1)),f7(a4,a4),a4)),
% 56.02/56.24     inference(scs_inference,[],[45,73,802,675,854,866,711,762,828,677,172,522,400,18,17,10,11,27,23,28,25,29])).
% 56.02/56.24  cnf(896,plain,
% 56.02/56.24     (P4(f3(a1,a1),f6(f3(a1,a1)),f3(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[45,73,802,798,675,854,866,711,762,828,677,172,522,400,18,17,10,11,27,23,28,25,29,22])).
% 56.02/56.24  cnf(898,plain,
% 56.02/56.24     (~P4(a4,a1,f7(f6(a1),f6(a1)))),
% 56.02/56.24     inference(scs_inference,[],[45,73,802,798,675,854,866,766,711,762,828,677,172,522,249,400,18,17,10,11,27,23,28,25,29,22,26])).
% 56.02/56.24  cnf(900,plain,
% 56.02/56.24     (~P4(f7(a1,a1),a1,x9001)+P3(f3(a1,a1),x9001)),
% 56.02/56.24     inference(scs_inference,[],[45,73,57,802,798,675,854,866,766,711,762,828,677,172,522,249,400,18,17,10,11,27,23,28,25,29,22,26,24])).
% 56.02/56.24  cnf(902,plain,
% 56.02/56.24     (P2(f3(a4,a4),f7(a5,a5),f3(f7(a5,a5),f7(a5,a5)))),
% 56.02/56.24     inference(scs_inference,[],[45,73,57,802,798,675,735,854,866,766,711,762,828,677,277,172,522,249,400,174,18,17,10,11,27,23,28,25,29,22,26,24,30])).
% 56.02/56.24  cnf(904,plain,
% 56.02/56.24     (~P2(f7(f7(a4,a4),f7(a4,a4)),f7(a1,a1),a4)),
% 56.02/56.24     inference(scs_inference,[],[480,868,516,27])).
% 56.02/56.24  cnf(906,plain,
% 56.02/56.24     (~P2(f7(a4,a4),f7(f3(a1,a1),f3(a1,a1)),a4)),
% 56.02/56.24     inference(scs_inference,[],[480,868,695,516,27,23])).
% 56.02/56.24  cnf(910,plain,
% 56.02/56.24     (~P2(a4,a4,f3(f7(a1,a1),f7(a1,a1)))),
% 56.02/56.24     inference(scs_inference,[],[480,868,695,723,352,516,530,713,348,139,27,23,30,28])).
% 56.02/56.24  cnf(912,plain,
% 56.02/56.24     (P4(f6(f6(a4)),a1,a4)),
% 56.02/56.24     inference(scs_inference,[],[480,868,695,826,723,352,516,530,713,348,139,143,145,27,23,30,28,25])).
% 56.02/56.24  cnf(914,plain,
% 56.02/56.24     (~P2(f6(a1),a4,f8(a4))),
% 56.02/56.24     inference(scs_inference,[],[73,480,868,695,826,723,352,516,530,713,348,360,139,143,145,275,27,23,30,28,25,29])).
% 56.02/56.24  cnf(918,plain,
% 56.02/56.24     (P4(f3(a1,a1),f6(f7(a1,a1)),f3(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[73,480,846,868,695,860,826,723,352,731,516,530,713,348,360,139,143,145,275,27,23,30,28,25,29,22,26])).
% 56.02/56.24  cnf(922,plain,
% 56.02/56.24     (P4(f6(f3(a2,a2)),f3(a2,a2),a1)),
% 56.02/56.24     inference(scs_inference,[],[73,480,846,868,695,860,826,723,352,731,516,530,713,348,77,360,139,143,145,275,27,23,30,28,25,29,22,26,8,15])).
% 56.02/56.24  cnf(924,plain,
% 56.02/56.24     (P2(a4,f3(a2,a2),f3(a2,a2))),
% 56.02/56.24     inference(scs_inference,[],[73,480,846,868,695,860,826,723,352,731,516,530,713,348,77,360,139,143,145,275,27,23,30,28,25,29,22,26,8,15,14])).
% 56.02/56.24  cnf(926,plain,
% 56.02/56.24     (P2(f8(f8(a4)),f7(a5,a5),f7(a5,a5))),
% 56.02/56.24     inference(scs_inference,[],[852,277,400,27])).
% 56.02/56.24  cnf(930,plain,
% 56.02/56.24     (P2(f3(a5,a5),a5,f3(f7(a5,a5),f7(a5,a5)))),
% 56.02/56.24     inference(scs_inference,[],[902,852,735,277,188,190,400,27,23,30])).
% 56.02/56.24  cnf(932,plain,
% 56.02/56.24     (~P4(f6(a1),f6(f6(a4)),f6(a1))),
% 56.02/56.24     inference(scs_inference,[],[902,852,520,912,735,277,188,522,190,400,27,23,30,25])).
% 56.02/56.24  cnf(936,plain,
% 56.02/56.24     (P4(f6(f7(a1,a1)),f3(a1,a1),f3(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[918,902,852,520,912,840,735,482,277,188,522,190,322,400,27,23,30,25,29,22])).
% 56.02/56.24  cnf(938,plain,
% 56.02/56.24     (~P4(f3(a2,a2),a4,f3(a2,a2))),
% 56.02/56.24     inference(scs_inference,[],[918,902,852,922,520,912,840,735,482,277,188,309,522,190,322,400,27,23,30,25,29,22,26])).
% 56.02/56.24  cnf(948,plain,
% 56.02/56.24     (P2(f8(a4),f3(a2,a2),f3(a2,a2))),
% 56.02/56.24     inference(scs_inference,[],[924,314,27])).
% 56.02/56.24  cnf(952,plain,
% 56.02/56.24     (P2(f7(a4,a4),f3(a2,a2),f3(a2,a2))),
% 56.02/56.24     inference(scs_inference,[],[924,725,170,314,27,23,28])).
% 56.02/56.24  cnf(954,plain,
% 56.02/56.24     (~P4(f3(a1,a1),f6(a1),f6(f6(a4)))),
% 56.02/56.24     inference(scs_inference,[],[924,725,932,560,490,170,314,27,23,28,25])).
% 56.02/56.24  cnf(956,plain,
% 56.02/56.24     (~P4(a4,f3(a2,a2),f3(a2,a2))),
% 56.02/56.24     inference(scs_inference,[],[924,725,938,932,560,490,170,314,27,23,28,25,22])).
% 56.02/56.24  cnf(958,plain,
% 56.02/56.24     (~P4(f7(a1,a1),f6(a4),f3(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[936,924,725,938,932,864,601,560,490,170,314,27,23,28,25,22,26])).
% 56.02/56.24  cnf(964,plain,
% 56.02/56.24     (P2(f3(a4,a4),f7(a4,a4),f3(a4,a4))),
% 56.02/56.24     inference(scs_inference,[],[838,170,27])).
% 56.02/56.24  cnf(966,plain,
% 56.02/56.24     (P2(f3(a2,a2),f7(a4,a4),f3(a2,a2))),
% 56.02/56.24     inference(scs_inference,[],[838,952,170,27,23])).
% 56.02/56.24  cnf(968,plain,
% 56.02/56.24     (P2(f3(a4,a4),f3(a1,a1),f3(f3(a1,a1),f3(a1,a1)))),
% 56.02/56.24     inference(scs_inference,[],[838,952,261,611,170,174,27,23,30])).
% 56.02/56.24  cnf(970,plain,
% 56.02/56.24     (P2(f3(a5,a5),f7(a4,a4),f3(a5,a5))),
% 56.02/56.24     inference(scs_inference,[],[838,952,261,444,611,170,174,27,23,30,28])).
% 56.02/56.24  cnf(972,plain,
% 56.02/56.24     (P4(a1,f3(f6(a1),f6(a1)),a1)),
% 56.02/56.24     inference(scs_inference,[],[73,838,952,261,444,611,464,170,174,27,23,30,28,25])).
% 56.02/56.24  cnf(974,plain,
% 56.02/56.24     (P4(f7(a5,a5),f3(f6(a1),f6(a1)),f7(a5,a5))),
% 56.02/56.24     inference(scs_inference,[],[73,838,952,772,261,444,611,464,170,174,27,23,30,28,25,22])).
% 56.02/56.24  cnf(976,plain,
% 56.02/56.24     (~P2(a1,f3(a2,a2),a4)),
% 56.02/56.24     inference(scs_inference,[],[73,838,952,772,956,261,444,611,464,395,170,174,27,23,30,28,25,22,29])).
% 56.02/56.24  cnf(978,plain,
% 56.02/56.24     (~P4(f3(a1,a1),f6(f6(a4)),f7(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[73,838,952,772,958,956,826,261,444,85,611,464,395,170,174,27,23,30,28,25,22,29,26])).
% 56.02/56.24  cnf(980,plain,
% 56.02/56.24     (P2(f8(a4),f8(a4),f7(f8(a4),f8(a4)))),
% 56.02/56.24     inference(scs_inference,[],[73,838,952,772,958,956,826,261,444,85,611,318,464,395,170,174,27,23,30,28,25,22,29,26,18])).
% 56.02/56.24  cnf(982,plain,
% 56.02/56.24     (P4(f8(a4),f8(a4),f3(f8(a4),f8(a4)))),
% 56.02/56.24     inference(scs_inference,[],[73,838,952,772,958,956,826,261,444,85,611,318,464,395,170,174,27,23,30,28,25,22,29,26,18,17])).
% 56.02/56.24  cnf(988,plain,
% 56.02/56.24     (P2(f6(a4),f6(a4),f7(f6(a4),f6(a4)))),
% 56.02/56.24     inference(scs_inference,[],[137,18])).
% 56.02/56.24  cnf(990,plain,
% 56.02/56.24     (P4(f6(a4),f6(a4),f3(f6(a4),f6(a4)))),
% 56.02/56.24     inference(scs_inference,[],[137,18,17])).
% 56.02/56.24  cnf(996,plain,
% 56.02/56.24     (~P2(f3(f7(a1,a1),f7(a1,a1)),f7(a4,a4),f8(a4))),
% 56.02/56.24     inference(scs_inference,[],[894,281,137,314,18,17,10,11,27])).
% 56.02/56.24  cnf(1000,plain,
% 56.02/56.24     (P2(f3(f8(a4),f8(a4)),a5,f3(a5,a5))),
% 56.02/56.24     inference(scs_inference,[],[904,894,982,316,281,137,190,314,18,17,10,11,27,23,30])).
% 56.02/56.24  cnf(1002,plain,
% 56.02/56.24     (~P2(f8(f8(a4)),f7(a1,a1),f8(a4))),
% 56.02/56.24     inference(scs_inference,[],[904,894,982,858,661,316,281,137,190,400,314,18,17,10,11,27,23,30,28])).
% 56.02/56.24  cnf(1004,plain,
% 56.02/56.24     (~P4(f3(a1,a1),f6(f3(a1,a1)),a4)),
% 56.02/56.24     inference(scs_inference,[],[79,904,894,982,858,661,896,316,281,800,137,190,400,314,18,17,10,11,27,23,30,28,25])).
% 56.02/56.24  cnf(1006,plain,
% 56.02/56.24     (~P4(f6(f6(a4)),f3(a1,a1),f7(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[79,978,904,894,982,858,661,896,316,281,800,137,190,400,314,18,17,10,11,27,23,30,28,25,22])).
% 56.02/56.24  cnf(1008,plain,
% 56.02/56.24     (~P2(f6(a1),f3(a2,a2),a4)),
% 56.02/56.24     inference(scs_inference,[],[79,978,904,894,982,858,661,896,316,281,956,800,924,137,190,400,162,314,18,17,10,11,27,23,30,28,25,22,29])).
% 56.02/56.24  cnf(1010,plain,
% 56.02/56.24     (P4(f3(a4,a4),f3(f7(a1,a1),f7(a1,a1)),f3(a4,a4))),
% 56.02/56.24     inference(scs_inference,[],[79,978,904,894,982,858,661,896,316,281,956,800,289,924,358,137,190,400,162,314,18,17,10,11,27,23,30,28,25,22,29,26])).
% 56.02/56.24  cnf(1016,plain,
% 56.02/56.24     (P4(f6(f7(a2,a2)),f7(a2,a2),a1)),
% 56.02/56.24     inference(scs_inference,[],[79,978,904,894,980,982,858,661,896,316,281,956,800,289,924,358,83,137,190,400,162,314,18,17,10,11,27,23,30,28,25,22,29,26,651,8,15])).
% 56.02/56.24  cnf(1018,plain,
% 56.02/56.24     (P2(a4,f7(a2,a2),f7(a2,a2))),
% 56.02/56.24     inference(scs_inference,[],[79,978,904,894,980,982,858,661,896,316,281,956,800,289,924,358,83,137,190,400,162,314,18,17,10,11,27,23,30,28,25,22,29,26,651,8,15,14])).
% 56.02/56.24  cnf(1020,plain,
% 56.02/56.24     (P2(f8(f8(a4)),f3(a2,a2),f3(a2,a2))),
% 56.02/56.24     inference(scs_inference,[],[948,924,400,27])).
% 56.02/56.24  cnf(1022,plain,
% 56.02/56.24     (P2(f7(a4,a4),f3(a5,a5),f3(a5,a5))),
% 56.02/56.24     inference(scs_inference,[],[970,948,924,400,27,23])).
% 56.02/56.24  cnf(1024,plain,
% 56.02/56.24     (~P4(a4,f3(a1,a1),f7(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[79,970,1006,948,912,924,400,27,23,25])).
% 56.02/56.24  cnf(1026,plain,
% 56.02/56.24     (~P2(f3(a4,a4),f3(f7(a1,a1),f7(a1,a1)),a4)),
% 56.02/56.24     inference(scs_inference,[],[79,970,968,1006,948,792,644,912,924,400,27,23,25,28])).
% 56.02/56.24  cnf(1028,plain,
% 56.02/56.24     (P4(f3(f7(a1,a1),f7(a1,a1)),f3(a4,a4),f3(a4,a4))),
% 56.02/56.24     inference(scs_inference,[],[79,970,968,1010,1006,948,792,644,912,924,400,27,23,25,28,22])).
% 56.02/56.24  cnf(1030,plain,
% 56.02/56.24     (~P2(f3(a1,a1),a4,f6(a4))),
% 56.02/56.24     inference(scs_inference,[],[79,970,968,1010,1006,948,792,644,864,912,346,924,400,275,27,23,25,28,22,29])).
% 56.02/56.24  cnf(1032,plain,
% 56.02/56.24     (~P4(f7(a2,a2),a4,f7(a2,a2))),
% 56.02/56.24     inference(scs_inference,[],[79,970,968,1010,1006,948,1016,792,644,864,912,346,924,309,400,275,27,23,25,28,22,29,26])).
% 56.02/56.24  cnf(1042,plain,
% 56.02/56.24     (P3(f7(a1,a1),f3(f7(a1,a1),f7(a1,a1)))),
% 56.02/56.24     inference(scs_inference,[],[57,605,322,24])).
% 56.02/56.24  cnf(1044,plain,
% 56.02/56.24     (P2(f8(f8(a4)),f3(a1,a1),f3(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[57,886,605,554,322,24,27])).
% 56.02/56.24  cnf(1046,plain,
% 56.02/56.24     (~P2(f7(a4,a4),f3(f7(a1,a1),f7(a1,a1)),f8(a4))),
% 56.02/56.24     inference(scs_inference,[],[57,886,996,605,554,322,24,27,23])).
% 56.02/56.24  cnf(1048,plain,
% 56.02/56.24     (~P2(a1,a1,f8(a4))),
% 56.02/56.24     inference(scs_inference,[],[57,886,996,587,605,488,554,713,303,322,24,27,23,30])).
% 56.02/56.24  cnf(1050,plain,
% 56.02/56.24     (~P4(a4,f3(a1,a1),f6(f7(a1,a1)))),
% 56.02/56.24     inference(scs_inference,[],[57,886,996,1024,697,587,605,846,488,554,713,303,322,24,27,23,30,25])).
% 56.02/56.24  cnf(1052,plain,
% 56.02/56.24     (P2(a5,a2,f7(a2,a2))),
% 56.02/56.24     inference(scs_inference,[],[75,57,886,1018,996,1024,697,587,605,846,488,554,713,303,322,5,24,27,23,30,25,28])).
% 56.02/56.24  cnf(1054,plain,
% 56.02/56.24     (~P4(f6(a1),f3(a1,a1),f6(f6(a4)))),
% 56.02/56.24     inference(scs_inference,[],[75,57,886,1018,996,954,1024,697,587,605,846,488,554,713,303,322,5,24,27,23,30,25,28,22])).
% 56.02/56.24  cnf(1056,plain,
% 56.02/56.24     (~P2(f6(a1),f7(a2,a2),a4)),
% 56.02/56.24     inference(scs_inference,[],[75,57,886,1018,996,954,1032,1024,697,587,605,846,488,554,713,303,322,227,5,24,27,23,30,25,28,22,29])).
% 56.02/56.24  cnf(1058,plain,
% 56.02/56.24     (~P4(a2,a4,a2)),
% 56.02/56.24     inference(scs_inference,[],[75,81,57,886,1018,996,954,1032,1024,697,587,938,605,846,488,554,713,303,322,227,5,24,27,23,30,25,28,22,29,26])).
% 56.02/56.24  cnf(1060,plain,
% 56.02/56.24     (~P3(f3(f7(a1,a1),f7(a1,a1)),f7(a1,a1))+P4(a1,f3(f7(a1,a1),f7(a1,a1)),f7(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[75,81,57,886,1018,996,954,1032,1024,697,587,938,605,846,488,554,713,303,322,227,5,24,27,23,30,25,28,22,29,26,19])).
% 56.02/56.24  cnf(1068,plain,
% 56.02/56.24     (P2(f8(a4),f7(a2,a2),f7(a2,a2))),
% 56.02/56.24     inference(scs_inference,[],[1052,316,27])).
% 56.02/56.24  cnf(1070,plain,
% 56.02/56.24     (P2(f7(a5,a5),f8(f8(a4)),f7(a5,a5))),
% 56.02/56.24     inference(scs_inference,[],[926,1052,316,27,23])).
% 56.02/56.24  cnf(1072,plain,
% 56.02/56.24     (P4(a1,f3(f6(a1),f6(a1)),f3(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[73,926,1052,892,316,464,27,23,25])).
% 56.02/56.24  cnf(1074,plain,
% 56.02/56.24     (~P2(f3(a4,a4),f7(a1,a1),f8(a4))),
% 56.02/56.24     inference(scs_inference,[],[73,926,558,1052,892,886,316,464,400,27,23,25,28])).
% 56.02/56.24  cnf(1076,plain,
% 56.02/56.24     (P4(f6(a1),a1,f3(f6(a1),f6(a1)))),
% 56.02/56.24     inference(scs_inference,[],[73,926,558,701,1052,892,886,316,464,400,27,23,25,28,22])).
% 56.02/56.24  cnf(1078,plain,
% 56.02/56.24     (~P4(f6(f6(a4)),f3(a1,a1),f6(a1))),
% 56.02/56.24     inference(scs_inference,[],[73,79,926,558,701,562,1052,892,886,316,912,464,400,27,23,25,28,22,26])).
% 56.02/56.24  cnf(1090,plain,
% 56.02/56.24     (~P2(f7(f3(a1,a1),f3(a1,a1)),a4,a4)),
% 56.02/56.24     inference(scs_inference,[],[854,828,27])).
% 56.02/56.24  cnf(1092,plain,
% 56.02/56.24     (~P2(a4,f3(a1,a1),f6(a4))),
% 56.02/56.24     inference(scs_inference,[],[1030,854,828,27,23])).
% 56.02/56.24  cnf(1094,plain,
% 56.02/56.24     (P2(f3(a4,a4),f6(a4),f3(f6(a4),f6(a4)))),
% 56.02/56.24     inference(scs_inference,[],[1030,990,603,854,828,174,27,23,30])).
% 56.02/56.24  cnf(1096,plain,
% 56.02/56.24     (P4(f3(a5,a5),f3(f6(a1),f6(a1)),f3(a5,a5))),
% 56.02/56.24     inference(scs_inference,[],[1030,990,1076,685,603,854,362,828,174,27,23,30,25])).
% 56.02/56.24  cnf(1102,plain,
% 56.02/56.24     (P4(f3(f7(a1,a1),f7(a1,a1)),f7(a1,a1),f7(a1,a1))),
% 56.02/56.24     inference(scs_inference,[],[79,1044,1030,1078,990,1076,685,603,854,634,362,828,406,346,174,27,23,30,25,22,28,29])).
% 56.02/56.24  cnf(1104,plain,
% 56.02/56.24     (P4(f3(f6(a1),f6(a1)),f3(a1,a1),a1)),
% 56.02/56.24     inference(scs_inference,[],[79,1044,1030,1078,990,1076,685,603,854,634,362,828,406,560,346,174,27,23,30,25,22,28,29,26])).
% 56.02/56.24  cnf(1108,plain,
% 56.02/56.24     (P4(f6(f6(a5)),f6(a5),a1)),
% 56.02/56.24     inference(scs_inference,[],[79,1044,1030,1078,990,1076,685,603,854,634,362,828,406,560,346,259,174,27,23,30,25,22,28,29,26,8,15])).
% 56.02/56.24  cnf(1110,plain,
% 56.02/56.24     (P2(a4,f6(a5),f6(a5))),
% 56.02/56.24     inference(scs_inference,[],[79,1044,1030,1078,990,1076,685,603,854,634,362,828,406,560,346,259,174,27,23,30,25,22,28,29,26,8,15,14])).
% 56.02/56.24  cnf(1118,plain,
% 56.02/56.24     (P2(f8(a4),f6(a5),f6(a5))),
% 56.02/56.24     inference(scs_inference,[],[1110,314,27])).
% 56.02/56.24  cnf(1120,plain,
% 56.02/56.24     (P2(f7(a4,a4),f3(a4,a4),f3(a4,a4))),
% 56.02/56.24     inference(scs_inference,[],[964,1110,314,27,23])).
% 56.02/56.24  cnf(1122,plain,
% 56.02/56.24     (P2(f3(a4,a4),f6(a5),f3(f6(a5),f6(a5)))),
% 56.02/56.24     inference(scs_inference,[],[964,628,1110,314,174,27,23,30])).
% 56.02/56.24  cnf(1124,plain,
% 56.02/56.24     (~P4(a4,a2,a2)),
% 56.02/56.24     inference(scs_inference,[],[81,964,628,1110,956,314,174,27,23,30,25])).
% 56.17/56.24  cnf(1126,plain,
% 56.17/56.24     (P4(f7(a1,a1),f3(f7(a1,a1),f7(a1,a1)),f7(a1,a1))),
% 56.17/56.24     inference(scs_inference,[],[81,1102,964,628,1110,956,314,174,27,23,30,25,22])).
% 56.17/56.24  cnf(1128,plain,
% 56.17/56.24     (~P2(a4,f3(f7(a1,a1),f7(a1,a1)),a4)),
% 56.17/56.24     inference(scs_inference,[],[81,1102,964,628,1110,792,494,956,261,314,174,27,23,30,25,22,28])).
% 56.17/56.24  cnf(1130,plain,
% 56.17/56.24     (~P4(f6(a5),a4,f6(a5))),
% 56.17/56.24     inference(scs_inference,[],[81,1102,964,628,1108,1110,792,494,956,261,309,314,174,27,23,30,25,22,28,26])).
% 56.17/56.24  cnf(1138,plain,
% 56.17/56.24     (P2(f7(a4,a4),f3(a1,a1),f3(a1,a1))),
% 56.17/56.24     inference(scs_inference,[],[1120,554,27])).
% 56.17/56.24  cnf(1140,plain,
% 56.17/56.24     (~P2(f3(a2,a2),a1,a4)),
% 56.17/56.24     inference(scs_inference,[],[1120,976,554,27,23])).
% 56.17/56.24  cnf(1142,plain,
% 56.17/56.24     (P2(f3(a5,a5),a2,f3(f7(a2,a2),f7(a2,a2)))),
% 56.17/56.24     inference(scs_inference,[],[1120,976,340,1052,554,190,27,23,30])).
% 56.17/56.24  cnf(1144,plain,
% 56.17/56.24     (~P4(f3(a1,a1),f6(a4),f6(a1))),
% 56.17/56.24     inference(scs_inference,[],[1120,976,229,340,1052,794,560,554,190,27,23,30,25])).
% 56.17/56.24  cnf(1146,plain,
% 56.17/56.24     (~P4(f3(a1,a1),a4,f6(f7(a1,a1)))),
% 56.17/56.24     inference(scs_inference,[],[1120,976,1050,229,340,1052,794,560,554,190,27,23,30,25,22])).
% 56.17/56.24  cnf(1148,plain,
% 56.17/56.24     (P2(f7(f8(a4),f8(a4)),f7(a2,a2),f7(a2,a2))),
% 56.17/56.24     inference(scs_inference,[],[1120,1068,976,1050,229,340,1052,794,980,560,554,190,27,23,30,25,22,28])).
% 56.17/56.24  cnf(1150,plain,
% 56.17/56.24     (~P4(f3(f6(a1),f6(a1)),a1,a4)),
% 56.17/56.24     inference(scs_inference,[],[1120,1068,976,1050,1104,229,233,340,1052,794,892,980,560,554,190,27,23,30,25,22,28,26])).
% 56.17/56.24  cnf(1154,plain,
% 56.17/56.24     (P2(f7(a5,a5),f7(f8(a4),f8(a4)),f7(a5,a5))),
% 56.17/56.24     inference(scs_inference,[],[638,980,27])).
% 56.17/56.24  cnf(1156,plain,
% 56.17/56.24     (P2(f7(a2,a2),f7(f8(a4),f8(a4)),f7(a2,a2))),
% 56.17/56.24     inference(scs_inference,[],[1148,638,980,27,23])).
% 56.17/56.24  cnf(1160,plain,
% 56.17/56.24     (~P4(f6(a1),f3(f6(a1),f6(a1)),f6(a4))),
% 56.17/56.24     inference(scs_inference,[],[73,1148,638,1072,352,980,864,348,912,713,27,23,30,25])).
% 56.17/56.24  cnf(1162,plain,
% 56.17/56.24     (~P2(f3(a4,a4),f3(f7(a1,a1),f7(a1,a1)),f8(a4))),
% 56.17/56.24     inference(scs_inference,[],[73,1148,1026,638,1072,352,886,980,864,348,912,713,400,27,23,30,25,28])).
% 56.17/56.24  cnf(1164,plain,
% 56.17/56.24     (P4(f3(f6(a1),f6(a1)),f3(a5,a5),f3(a5,a5))),
% 56.17/56.24     inference(scs_inference,[],[73,1148,1026,1096,638,1072,352,886,980,864,348,912,713,400,27,23,30,25,28,22])).
% 56.17/56.24  cnf(1166,plain,
% 56.17/56.24     (~P2(a4,a4,f7(f6(a1),f6(a1)))),
% 56.17/56.24     inference(scs_inference,[],[73,1148,1026,898,1096,638,1072,352,886,980,864,348,912,713,249,139,400,275,27,23,30,25,28,22,29])).
% 56.17/56.24  cnf(1170,plain,
% 56.17/56.24     (~P2(a4,f7(a1,a1),f6(f6(a4)))),
% 56.17/56.24     inference(scs_inference,[],[73,1148,1026,454,898,1096,638,1072,352,886,980,864,348,912,713,249,139,400,275,27,23,30,25,28,22,29,26,51])).
% 56.17/56.24  cnf(1172,plain,
% 56.17/56.24     (~P2(f7(f3(a4,a4),f3(a4,a4)),f7(a1,a1),f8(a4))),
% 56.17/56.24     inference(scs_inference,[],[878,1074,691,27])).
% 56.17/56.24  cnf(1174,plain,
% 56.17/56.24     (~P2(f7(a4,a4),a1,a4)),
% 56.17/56.24     inference(scs_inference,[],[878,450,1074,691,27,23])).
% 56.17/56.24  cnf(1176,plain,
% 56.17/56.24     (P4(f6(f6(a1)),f3(a4,a4),f3(a4,a4))),
% 56.17/56.24     inference(scs_inference,[],[878,450,1074,498,691,283,231,27,23,25])).
% 56.17/56.24  cnf(1180,plain,
% 56.17/56.24     (~P2(a4,f7(a4,a4),f3(f7(a1,a1),f7(a1,a1)))),
% 56.17/56.24     inference(scs_inference,[],[878,450,1074,1160,910,498,691,283,231,170,139,27,23,25,22,28])).
% 56.17/56.24  cnf(1182,plain,
% 56.17/56.24     (P4(f3(a1,a1),f3(f6(a1),f6(a1)),f3(a1,a1))),
% 56.17/56.24     inference(scs_inference,[],[85,878,450,1074,1160,910,972,498,691,283,231,170,139,27,23,25,22,28,26])).
% 56.17/56.24  cnf(1186,plain,
% 56.17/56.24     (P4(f6(f7(a5,a5)),f7(a5,a5),a1)),
% 56.17/56.24     inference(scs_inference,[],[85,878,450,1074,1160,910,972,498,691,283,231,192,170,139,27,23,25,22,28,26,8,15])).
% 56.17/56.24  cnf(1188,plain,
% 56.17/56.24     (P2(a4,a2,a2)),
% 56.17/56.24     inference(scs_inference,[],[85,878,450,1074,1160,910,972,498,691,283,231,192,3,170,139,27,23,25,22,28,26,8,15,14])).
% 56.17/56.24  cnf(1203,plain,
% 56.17/56.24     (P2(f3(a4,a4),f7(a2,a2),f3(f7(a2,a2),f7(a2,a2)))),
% 56.17/56.24     inference(scs_inference,[],[75,1142,279,27])).
% 56.17/56.24  cnf(1207,plain,
% 56.17/56.24     (~P4(f3(a1,a1),f3(f7(a1,a1),f7(a1,a1)),f6(a4))),
% 56.17/56.24     inference(scs_inference,[],[75,1154,1142,1092,279,634,261,249,27,23,30])).
% 56.17/56.24  cnf(1209,plain,
% 56.17/56.24     (~P4(f7(a1,a1),f7(a1,a1),f8(a4))),
% 56.17/56.24     inference(scs_inference,[],[75,87,1154,1142,1092,764,279,634,605,261,249,27,23,30,25])).
% 56.17/56.24  cnf(1213,plain,
% 56.17/56.24     (P4(f3(f6(a1),f6(a1)),f3(a1,a1),f3(a1,a1))),
% 56.17/56.24     inference(scs_inference,[],[75,87,1182,1154,1142,1092,1188,764,279,634,605,261,249,174,27,23,30,25,29,22])).
% 56.17/56.24  cnf(1215,plain,
% 56.17/56.24     (~P2(f3(a4,a4),f7(f3(a1,a1),f3(a1,a1)),a4)),
% 56.17/56.24     inference(scs_inference,[],[75,87,1182,1154,1142,1092,1188,764,279,968,609,644,634,605,261,249,174,27,23,30,25,29,22,28])).
% 56.17/56.24  cnf(1217,plain,
% 56.17/56.24     (~P4(f7(a5,a5),f8(a4),f7(a5,a5))),
% 56.17/56.24     inference(scs_inference,[],[75,87,1182,1154,1186,1142,1092,1188,764,279,968,609,644,634,605,261,360,249,174,27,23,30,25,29,22,28,26])).
% 56.17/56.24  cnf(1225,plain,
% 56.17/56.24     (P2(f8(a4),a2,a2)),
% 56.17/56.25     inference(scs_inference,[],[1188,314,27])).
% 56.17/56.25  cnf(1227,plain,
% 56.17/56.25     (~P2(a4,f6(a1),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[914,1188,314,27,23])).
% 56.17/56.25  cnf(1229,plain,
% 56.17/56.25     (P2(f3(a4,a4),f3(a5,a5),f3(f3(a5,a5),f3(a5,a5)))),
% 56.17/56.25     inference(scs_inference,[],[752,914,393,1188,314,174,27,23,30])).
% 56.17/56.25  cnf(1231,plain,
% 56.17/56.25     (~P4(f6(a4),a2,a2)),
% 56.17/56.25     inference(scs_inference,[],[752,914,1124,257,393,1188,164,314,174,27,23,30,25])).
% 56.17/56.25  cnf(1233,plain,
% 56.17/56.25     (~P4(f3(f7(a1,a1),f7(a1,a1)),f3(a1,a1),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[752,914,1124,1207,257,393,1188,164,314,174,27,23,30,25,22])).
% 56.17/56.25  cnf(1237,plain,
% 56.17/56.25     (P2(f7(f8(a4),f8(a4)),f6(a5),f6(a5))),
% 56.17/56.25     inference(scs_inference,[],[752,914,1124,1207,1209,1118,982,661,257,393,1188,980,164,314,174,27,23,30,25,22,29,28])).
% 56.17/56.25  cnf(1247,plain,
% 56.17/56.25     (P2(f7(a5,a5),f7(a4,a4),f7(a5,a5))),
% 56.17/56.25     inference(scs_inference,[],[404,170,27])).
% 56.17/56.25  cnf(1249,plain,
% 56.17/56.25     (P2(f3(a5,a5),f3(a4,a4),f3(f3(a5,a5),f3(a5,a5)))),
% 56.17/56.25     inference(scs_inference,[],[1229,404,170,27,23])).
% 56.17/56.25  cnf(1251,plain,
% 56.17/56.25     (P2(f3(f8(a4),f8(a4)),a2,f3(a2,a2))),
% 56.17/56.25     inference(scs_inference,[],[81,1229,1225,404,982,170,27,23,30])).
% 56.17/56.25  cnf(1255,plain,
% 56.17/56.25     (P4(a1,f3(a1,a1),a1)),
% 56.17/56.25     inference(scs_inference,[],[81,1229,1058,1225,404,1104,701,982,1188,108,227,170,27,23,30,29,25])).
% 56.17/56.25  cnf(1257,plain,
% 56.17/56.25     (P4(f3(a4,a4),f6(f6(a1)),f3(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[81,1229,1058,1176,1225,404,1104,701,982,1188,108,227,170,27,23,30,29,25,22])).
% 56.17/56.25  cnf(1267,plain,
% 56.17/56.25     (~P2(f3(a4,a4),f7(a1,a1),f6(f6(a4)))),
% 56.17/56.25     inference(scs_inference,[],[1170,711,691,27])).
% 56.17/56.25  cnf(1271,plain,
% 56.17/56.25     (~P2(f3(a1,a1),a4,f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[1255,1170,711,595,691,713,275,27,23,30])).
% 56.17/56.25  cnf(1273,plain,
% 56.17/56.25     (~P2(f3(a2,a2),a1,f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[1255,1020,1170,1140,711,595,691,713,400,275,27,23,30,28])).
% 56.17/56.25  cnf(1275,plain,
% 56.17/56.25     (~P4(f8(a4),f7(a5,a5),f7(a5,a5))),
% 56.17/56.25     inference(scs_inference,[],[1255,1020,1170,1217,1140,711,595,691,713,400,275,27,23,30,28,22])).
% 56.17/56.25  cnf(1279,plain,
% 56.17/56.25     (~P4(f3(a1,a1),f6(a1),a4)),
% 56.17/56.25     inference(scs_inference,[],[79,106,1247,1255,1020,1170,1217,1140,974,711,595,691,800,713,400,275,27,23,30,28,22,29,25])).
% 56.17/56.25  cnf(1285,plain,
% 56.17/56.25     (P4(f6(f3(a5,a5)),f3(a5,a5),a1)),
% 56.17/56.25     inference(scs_inference,[],[79,106,1247,1255,1020,1170,1217,1140,974,711,595,691,800,713,194,912,295,145,400,275,27,23,30,28,22,29,25,26,8,15])).
% 56.17/56.25  cnf(1287,plain,
% 56.17/56.25     (P2(f3(a2,a2),a5,f3(f7(a5,a5),f7(a5,a5)))),
% 56.17/56.25     inference(scs_inference,[],[930,223,212,27])).
% 56.17/56.25  cnf(1291,plain,
% 56.17/56.25     (~P2(f7(a4,a4),f3(f7(a1,a1),f7(a1,a1)),a4)),
% 56.17/56.25     inference(scs_inference,[],[1203,1138,930,532,223,375,212,27,23,28])).
% 56.17/56.25  cnf(1293,plain,
% 56.17/56.25     (P4(f3(a5,a5),f6(f3(a5,a5)),a1)),
% 56.17/56.25     inference(scs_inference,[],[1203,1138,1285,930,532,223,375,212,27,23,28,22])).
% 56.17/56.25  cnf(1295,plain,
% 56.17/56.25     (~P4(f3(a1,a1),f6(a1),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[106,1203,1138,1285,1233,930,532,223,802,375,212,27,23,28,22,25])).
% 56.17/56.25  cnf(1297,plain,
% 56.17/56.25     (~P4(f3(a5,a5),a4,f3(a5,a5))),
% 56.17/56.25     inference(scs_inference,[],[106,1203,1138,1285,1233,930,532,223,802,375,212,309,27,23,28,22,25,26])).
% 56.17/56.25  cnf(1299,plain,
% 56.17/56.25     (~P2(a1,f8(a4),a4)),
% 56.17/56.25     inference(scs_inference,[],[106,1203,1138,1285,1233,930,532,223,802,375,212,309,27,23,28,22,25,26,671])).
% 56.17/56.25  cnf(1308,plain,
% 56.17/56.25     (~P2(f7(a2,a2),f6(a1),a4)),
% 56.17/56.25     inference(scs_inference,[],[1056,23])).
% 56.17/56.25  cnf(1310,plain,
% 56.17/56.25     (~P4(f7(a1,a1),f3(f7(a1,a1),f7(a1,a1)),a4)),
% 56.17/56.25     inference(scs_inference,[],[112,85,1056,532,530,23,30])).
% 56.17/56.25  cnf(1312,plain,
% 56.17/56.25     (~P2(f3(a1,a1),a1,f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[112,85,1056,1209,532,530,149,23,30,29])).
% 56.17/56.25  cnf(1316,plain,
% 56.17/56.25     (P2(f7(f8(a4),f8(a4)),f3(a5,a5),f3(a5,a5))),
% 56.17/56.25     inference(scs_inference,[],[81,112,85,1056,534,383,922,1209,532,530,149,980,23,30,29,26,28])).
% 56.17/56.25  cnf(1318,plain,
% 56.17/56.25     (~P4(f6(a1),f3(a1,a1),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[81,112,85,1056,1295,534,383,922,1209,532,530,149,980,23,30,29,26,28,22])).
% 56.17/56.25  cnf(1320,plain,
% 56.17/56.25     (~P4(f3(a1,a1),f6(a4),a1)),
% 56.17/56.25     inference(scs_inference,[],[81,112,85,1213,1056,1295,727,534,383,922,1209,820,532,530,149,980,23,30,29,26,28,22,25])).
% 56.17/56.25  cnf(1328,plain,
% 56.17/56.25     (~P4(f7(a1,a1),f7(a1,a1),f6(f6(a4)))),
% 56.17/56.25     inference(scs_inference,[],[1316,1267,53,174,23,30])).
% 56.17/56.25  cnf(1330,plain,
% 56.17/56.25     (P4(f7(a2,a2),f6(f7(a2,a2)),a1)),
% 56.17/56.25     inference(scs_inference,[],[1316,1267,1016,53,174,23,30,22])).
% 56.17/56.25  cnf(1332,plain,
% 56.17/56.25     (~P2(f3(f6(a1),f6(a1)),a4,f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[1316,1267,1275,1016,772,404,53,174,23,30,22,29])).
% 56.17/56.25  cnf(1336,plain,
% 56.17/56.25     (P4(f3(f6(a1),f6(a1)),a1,a1)),
% 56.17/56.25     inference(scs_inference,[],[108,85,1316,1164,816,1267,1275,1293,1016,772,404,53,174,23,30,22,29,26,25])).
% 56.17/56.25  cnf(1342,plain,
% 56.17/56.25     (P2(f8(a4),f6(a4),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[603,314,27])).
% 56.17/56.25  cnf(1344,plain,
% 56.17/56.25     (~P2(f3(a2,a2),f6(a1),a4)),
% 56.17/56.25     inference(scs_inference,[],[1008,603,314,27,23])).
% 56.17/56.25  cnf(1346,plain,
% 56.17/56.25     (~P4(a1,f8(a4),f7(f3(a1,a1),f3(a1,a1)))),
% 56.17/56.25     inference(scs_inference,[],[1090,1008,603,143,314,275,27,23,30])).
% 56.17/56.25  cnf(1348,plain,
% 56.17/56.25     (~P4(a4,f3(a5,a5),f3(a5,a5))),
% 56.17/56.25     inference(scs_inference,[],[1090,1008,1297,603,143,314,275,27,23,30,22])).
% 56.17/56.25  cnf(1350,plain,
% 56.17/56.25     (~P2(f6(f6(a4)),a4,f6(a1))),
% 56.17/56.25     inference(scs_inference,[],[124,1090,1008,1297,603,912,143,314,139,275,27,23,30,22,29])).
% 56.17/56.25  cnf(1352,plain,
% 56.17/56.25     (~P4(f3(a1,a1),f3(a1,a1),a4)),
% 56.17/56.25     inference(scs_inference,[],[124,85,1090,1008,1297,816,1255,603,912,143,314,139,275,27,23,30,22,29,25])).
% 56.17/56.25  cnf(1354,plain,
% 56.17/56.25     (P4(f3(a1,a1),f6(a1),f3(f3(a1,a1),f3(a1,a1)))),
% 56.17/56.25     inference(scs_inference,[],[124,85,1090,1008,1297,816,1255,892,603,611,912,143,314,139,275,27,23,30,22,29,25,26])).
% 56.17/56.25  cnf(1356,plain,
% 56.17/56.25     (~P2(f8(a4),f3(f7(a1,a1),f7(a1,a1)),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[124,85,1090,1008,1297,1128,816,1255,892,603,611,912,143,314,139,400,275,27,23,30,22,29,25,26,28])).
% 56.17/56.25  cnf(1360,plain,
% 56.17/56.25     (P4(f6(f3(a4,a4)),f3(a4,a4),a1)),
% 56.17/56.25     inference(scs_inference,[],[124,85,1090,1008,1297,1128,816,1255,892,603,611,912,172,143,314,139,400,275,27,23,30,22,29,25,26,28,8,15])).
% 56.17/56.25  cnf(1362,plain,
% 56.17/56.25     (P3(a1,f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[124,85,1090,1008,1297,1128,816,1255,802,892,603,611,550,912,172,143,314,139,400,275,27,23,30,22,29,25,26,28,8,15,24])).
% 56.17/56.25  cnf(1364,plain,
% 56.17/56.25     (P2(f3(a2,a2),f7(f7(a4,a4),f7(a4,a4)),f3(a2,a2))),
% 56.17/56.25     inference(scs_inference,[],[966,868,27])).
% 56.17/56.25  cnf(1368,plain,
% 56.17/56.25     (~P2(f7(a4,a4),f7(a1,a1),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[112,1122,1312,966,868,1138,27,23,28])).
% 56.17/56.25  cnf(1370,plain,
% 56.17/56.25     (P4(f6(a1),f3(a1,a1),f3(f3(a1,a1),f3(a1,a1)))),
% 56.17/56.25     inference(scs_inference,[],[112,1122,1354,1312,966,868,1138,27,23,28,22])).
% 56.17/56.25  cnf(1372,plain,
% 56.17/56.25     (~P4(f3(a1,a1),a1,f6(f6(a4)))),
% 56.17/56.25     inference(scs_inference,[],[108,112,85,1122,1354,1054,1312,966,868,1138,27,23,28,22,25])).
% 56.17/56.25  cnf(1374,plain,
% 56.17/56.25     (~P4(f3(a4,a4),f8(a4),f3(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[108,112,85,1122,1354,1054,1360,1312,966,868,1138,360,27,23,28,22,25,26])).
% 56.17/56.25  cnf(1376,plain,
% 56.17/56.25     (~P2(f3(a1,a1),a1,f6(f6(a4)))),
% 56.17/56.25     inference(scs_inference,[],[108,112,85,1122,1328,1354,1054,1360,1312,966,868,1138,149,360,27,23,28,22,25,26,29])).
% 56.17/56.25  cnf(1390,plain,
% 56.17/56.25     (~P2(f7(a1,a1),a4,f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[112,1312,275,27])).
% 56.17/56.25  cnf(1394,plain,
% 56.17/56.25     (~P4(f6(a4),f3(a1,a1),f6(a1))),
% 56.17/56.25     inference(scs_inference,[],[112,418,1144,1312,275,27,23,22])).
% 56.17/56.25  cnf(1396,plain,
% 56.17/56.25     (~P4(f6(a1),f8(a4),f6(a1))),
% 56.17/56.25     inference(scs_inference,[],[112,418,1144,1374,253,1312,275,27,23,22,26])).
% 56.17/56.25  cnf(1400,plain,
% 56.17/56.25     (~P4(a1,f6(a1),f6(f6(a4)))),
% 56.17/56.25     inference(scs_inference,[],[126,112,418,1144,1374,253,878,810,1312,721,522,912,275,27,23,22,26,28,25])).
% 56.17/56.25  cnf(1404,plain,
% 56.17/56.25     (P4(a1,f7(a4,a4),a1)+P2(f8(f7(a4,a4)),f7(a4,a4),a4)),
% 56.17/56.25     inference(scs_inference,[],[126,112,418,1144,1374,1346,253,878,810,1312,721,522,176,912,275,27,23,22,26,28,25,19,20])).
% 56.17/56.25  cnf(1415,plain,
% 56.17/56.25     (P2(f8(f8(a4)),f6(a4),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[1342,603,400,27])).
% 56.17/56.25  cnf(1417,plain,
% 56.17/56.25     (P2(f6(a1),f3(a4,a4),f3(f6(a1),f6(a1)))),
% 56.17/56.25     inference(scs_inference,[],[856,1342,603,400,27,23])).
% 56.17/56.25  cnf(1419,plain,
% 56.17/56.25     (~P4(f6(a1),f7(f6(a1),f6(a1)),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[856,1227,1342,462,603,500,227,400,27,23,30])).
% 56.17/56.25  cnf(1423,plain,
% 56.17/56.25     (P4(f3(a1,a1),f6(f3(a1,a1)),a1)),
% 56.17/56.25     inference(scs_inference,[],[126,106,856,1227,709,1342,462,603,500,227,400,27,23,30,26,22])).
% 56.17/56.25  cnf(1425,plain,
% 56.17/56.25     (P4(f6(a1),a1,f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[126,106,856,1227,1213,709,1342,1076,462,1255,603,500,227,400,27,23,30,26,22,25])).
% 56.17/56.25  cnf(1427,plain,
% 56.17/56.25     (~P2(f7(a1,a1),f7(a4,a4),f6(f6(a4)))),
% 56.17/56.25     inference(scs_inference,[],[126,106,87,856,1227,1213,1328,709,1342,552,1076,462,1255,603,500,227,400,27,23,30,26,22,25,29])).
% 56.17/56.25  cnf(1433,plain,
% 56.17/56.25     (~P2(f7(a4,a4),f7(a1,a1),f6(f6(a4)))),
% 56.17/56.25     inference(scs_inference,[],[1427,23])).
% 56.17/56.25  cnf(1435,plain,
% 56.17/56.25     (~P4(f3(a1,a1),f3(f3(a1,a1),f3(a1,a1)),a4)),
% 56.17/56.25     inference(scs_inference,[],[106,1427,1370,1352,23,26])).
% 56.17/56.25  cnf(1437,plain,
% 56.17/56.25     (~P4(f3(f3(a1,a1),f3(a1,a1)),f6(a1),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[106,1427,1370,1318,1352,23,26,25])).
% 56.17/56.25  cnf(1439,plain,
% 56.17/56.25     (~P2(a1,f8(a4),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[106,1299,1427,1370,1318,1352,448,400,23,26,25,28])).
% 56.17/56.25  cnf(1447,plain,
% 56.17/56.25     (P4(f6(f8(a4)),f8(a4),a1)),
% 56.17/56.25     inference(scs_inference,[],[106,1299,1427,1370,1310,1318,1352,1257,1374,838,448,318,400,23,26,25,28,29,22,8,15])).
% 56.17/56.25  cnf(1453,plain,
% 56.17/56.25     (P3(a1,f7(f3(a1,a1),f3(a1,a1)))),
% 56.17/56.25     inference(scs_inference,[],[1362,609,21])).
% 56.17/56.25  cnf(1455,plain,
% 56.17/56.25     (~P2(f8(a4),f8(a4),f7(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[1002,1362,609,828,400,21,27])).
% 56.17/56.25  cnf(1457,plain,
% 56.17/56.25     (P2(f6(a4),f3(a4,a4),f3(f6(a4),f6(a4)))),
% 56.17/56.25     inference(scs_inference,[],[1094,1002,1362,609,828,400,21,27,23])).
% 56.17/56.25  cnf(1463,plain,
% 56.17/56.25     (P2(f3(f3(a1,a1),f3(a1,a1)),a1,f7(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[112,1094,890,1002,1447,968,1362,609,691,828,309,143,170,400,275,21,27,23,30,26,28])).
% 56.17/56.25  cnf(1465,plain,
% 56.17/56.25     (~P4(f6(a4),f3(a1,a1),a1)),
% 56.17/56.25     inference(scs_inference,[],[106,112,1094,890,1002,1394,1447,968,1362,609,691,490,828,309,143,170,400,275,21,27,23,30,26,28,25])).
% 56.17/56.25  cnf(1467,plain,
% 56.17/56.25     (P4(f8(a4),f6(f8(a4)),a1)),
% 56.17/56.25     inference(scs_inference,[],[106,112,1094,890,1002,1394,1447,968,1362,609,691,490,828,309,143,170,400,275,21,27,23,30,26,28,25,22])).
% 56.17/56.25  cnf(1469,plain,
% 56.17/56.25     (~P2(a4,a4,f6(a1))),
% 56.17/56.25     inference(scs_inference,[],[124,106,112,1094,890,1002,1394,1447,968,1362,609,691,490,828,309,249,143,170,139,400,275,21,27,23,30,26,28,25,22,29])).
% 56.17/56.25  cnf(1471,plain,
% 56.17/56.25     (P2(f3(a5,a5),f7(f7(a4,a4),f7(a4,a4)),f3(a5,a5))),
% 56.17/56.25     inference(scs_inference,[],[124,106,112,1094,890,1002,1394,1447,1364,968,1362,609,691,490,828,309,249,143,170,139,400,275,21,27,23,30,26,28,25,22,29,526])).
% 56.17/56.25  cnf(1479,plain,
% 56.17/56.25     (P2(a5,f7(f8(a4),f8(a4)),a5)),
% 56.17/56.25     inference(scs_inference,[],[510,980,27])).
% 56.17/56.25  cnf(1481,plain,
% 56.17/56.25     (~P2(a4,f6(f6(a4)),f6(a1))),
% 56.17/56.25     inference(scs_inference,[],[1350,510,980,27,23])).
% 56.17/56.25  cnf(1489,plain,
% 56.17/56.25     (P2(f7(f8(a4),f8(a4)),f7(a4,a4),f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[106,1350,1419,1320,1467,1423,1048,428,510,348,980,713,27,23,30,22,26,28])).
% 56.17/56.25  cnf(1493,plain,
% 56.17/56.25     (~P4(f3(a1,a1),f8(a4),f7(f6(a1),f6(a1)))),
% 56.17/56.25     inference(scs_inference,[],[106,1350,1419,1320,1396,1467,1423,1048,428,510,560,348,980,500,713,227,27,23,30,22,26,28,29,25])).
% 56.17/56.25  cnf(1495,plain,
% 56.17/56.25     (P3(f3(f6(a1),f6(a1)),f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[106,1350,1419,1320,1396,1467,1423,1048,428,510,701,1362,560,348,980,500,713,227,27,23,30,22,26,28,29,25,24])).
% 56.17/56.25  cnf(1499,plain,
% 56.17/56.25     (~P2(a1,f3(a1,a1),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[1162,634,426,27])).
% 56.17/56.25  cnf(1501,plain,
% 56.17/56.25     (P2(f7(a4,a4),f7(f8(a4),f8(a4)),f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[1489,1162,634,426,27,23])).
% 56.17/56.25  cnf(1505,plain,
% 56.17/56.25     (P4(f7(a5,a5),f6(f7(a5,a5)),a1)),
% 56.17/56.25     inference(scs_inference,[],[106,1489,1162,1186,1320,1423,634,426,27,23,25,22])).
% 56.17/56.25  cnf(1507,plain,
% 56.17/56.25     (~P4(f3(f6(a1),f6(a1)),f3(a1,a1),a4)),
% 56.17/56.25     inference(scs_inference,[],[106,126,1489,1162,1186,1320,1423,1104,634,426,27,23,25,22,26])).
% 56.17/56.25  cnf(1513,plain,
% 56.17/56.25     (~P2(f3(f7(a4,a4),f7(a4,a4)),f3(a1,a1),a4)),
% 56.17/56.25     inference(scs_inference,[],[106,126,1489,870,1162,1400,1455,1352,1186,1320,1423,1104,1138,221,634,426,400,27,23,25,22,26,28,19,29])).
% 56.17/56.25  cnf(1519,plain,
% 56.17/56.25     (~P2(f3(a1,a1),f3(a1,a1),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[1046,792,1138,27])).
% 56.17/56.25  cnf(1523,plain,
% 56.17/56.25     (~P2(f6(a4),a4,f6(a1))),
% 56.17/56.25     inference(scs_inference,[],[139,1376,1046,328,792,1138,145,162,27,23,30])).
% 56.17/56.25  cnf(1525,plain,
% 56.17/56.25     (P4(f7(a1,a1),a1,a1)),
% 56.17/56.25     inference(scs_inference,[],[139,1376,1046,1463,667,328,792,1138,426,145,162,27,23,30,29])).
% 56.17/56.25  cnf(1527,plain,
% 56.17/56.25     (P4(f7(a5,a5),a1,f7(a5,a5))),
% 56.17/56.25     inference(scs_inference,[],[139,1376,1046,1463,1505,667,328,460,1186,792,1138,426,145,162,27,23,30,29,25])).
% 56.17/56.25  cnf(1533,plain,
% 56.17/56.25     (~P2(f3(a1,a1),f3(f3(a1,a1),f3(a1,a1)),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[108,139,1376,1493,1046,1463,1505,760,1279,1044,667,328,1354,460,1186,792,1138,426,145,162,400,27,23,30,29,25,22,26,28])).
% 56.17/56.25  cnf(1535,plain,
% 56.17/56.25     (P1(f6(a2))),
% 56.17/56.25     inference(scs_inference,[],[108,139,1376,1493,1046,1463,1505,760,1279,1044,667,328,1354,460,1186,792,1138,426,3,145,162,400,27,23,30,29,25,22,26,28,8])).
% 56.17/56.25  cnf(1537,plain,
% 56.17/56.25     (P2(a4,f6(a2),f6(a2))),
% 56.17/56.25     inference(scs_inference,[],[108,139,1376,1493,1046,1463,1505,760,1279,1044,667,328,1354,460,1186,792,1138,426,3,145,162,400,27,23,30,29,25,22,26,28,8,14])).
% 56.17/56.25  cnf(1539,plain,
% 56.17/56.25     (P4(f6(a2),a2,a1)),
% 56.17/56.25     inference(scs_inference,[],[108,139,1376,1493,1046,1463,1505,760,1279,1044,667,328,1354,460,1186,792,1138,426,3,145,162,400,27,23,30,29,25,22,26,28,8,14,15])).
% 56.17/56.25  cnf(1543,plain,
% 56.17/56.25     (P4(f6(a2),f6(a2),f3(f6(a2),f6(a2)))),
% 56.17/56.25     inference(scs_inference,[],[108,139,1376,1493,1046,1463,1505,760,1279,1044,667,328,1354,460,1186,792,1138,426,3,145,162,400,27,23,30,29,25,22,26,28,8,14,15,18,17])).
% 56.17/56.25  cnf(1551,plain,
% 56.17/56.25     (P3(f3(a1,a1),a1)),
% 56.17/56.25     inference(scs_inference,[],[108,139,1376,1493,1046,1463,1505,760,1279,1495,1044,667,328,1354,460,1186,792,1138,426,3,145,162,400,27,23,30,29,25,22,26,28,8,14,15,18,17,10,11,19,900])).
% 56.17/56.25  cnf(1555,plain,
% 56.17/56.25     (P4(a1,f6(a2),f6(a2))),
% 56.17/56.25     inference(scs_inference,[],[1535,13])).
% 56.17/56.25  cnf(1559,plain,
% 56.17/56.25     (~P2(a4,f8(a4),f3(f7(a1,a1),f7(a1,a1)))),
% 56.17/56.25     inference(scs_inference,[],[1356,1535,828,32,314,13,24,27])).
% 56.17/56.25  cnf(1561,plain,
% 56.17/56.25     (P2(f7(f7(a4,a4),f7(a4,a4)),f3(a5,a5),f3(a5,a5))),
% 56.17/56.25     inference(scs_inference,[],[1471,1356,1535,828,32,314,13,24,27,23])).
% 56.17/56.25  cnf(1563,plain,
% 56.17/56.25     (P2(f3(a4,a4),f6(a2),f3(f6(a2),f6(a2)))),
% 56.17/56.25     inference(scs_inference,[],[1471,1356,1543,1535,1537,828,32,314,174,13,24,27,23,30])).
% 56.17/56.25  cnf(1565,plain,
% 56.17/56.25     (~P2(f3(a1,a1),f7(f7(a4,a4),f7(a4,a4)),a4)),
% 56.17/56.25     inference(scs_inference,[],[1471,1356,1348,1543,1535,1537,593,828,32,314,174,13,24,27,23,30,29])).
% 56.17/56.25  cnf(1569,plain,
% 56.17/56.25     (P2(f3(a2,a2),f7(f8(a4),f8(a4)),f3(a2,a2))),
% 56.17/56.25     inference(scs_inference,[],[124,1501,1471,1356,1348,1543,1535,1525,1537,966,593,828,32,912,314,174,13,24,27,23,30,29,25,28])).
% 56.17/56.25  cnf(1571,plain,
% 56.17/56.25     (P4(a2,f6(a2),a1)),
% 56.17/56.25     inference(scs_inference,[],[124,1501,1471,1356,1348,1543,1535,1525,1537,1539,966,593,828,32,912,314,174,13,24,27,23,30,29,25,28,22])).
% 56.17/56.25  cnf(1573,plain,
% 56.17/56.25     (~P4(a2,f8(a4),a2)),
% 56.17/56.25     inference(scs_inference,[],[124,1501,1471,1356,1348,1543,1535,1525,1537,1539,966,593,828,32,360,912,314,174,13,24,27,23,30,29,25,28,22,26])).
% 56.17/56.25  cnf(1583,plain,
% 56.17/56.25     (P2(f3(a4,a4),f7(f8(a4),f8(a4)),f3(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[1551,1453,788,980,12,27])).
% 56.17/56.25  cnf(1589,plain,
% 56.17/56.25     (P2(f7(f8(a4),f8(a4)),f3(a2,a2),f3(a2,a2))),
% 56.17/56.25     inference(scs_inference,[],[1569,862,1551,1453,948,456,938,788,980,12,27,23,29,28])).
% 56.17/56.25  cnf(1593,plain,
% 56.17/56.25     (~P4(f3(a1,a1),a4,a1)),
% 56.17/56.25     inference(scs_inference,[],[124,143,1569,862,1551,1453,948,456,938,788,560,980,912,12,27,23,29,28,26,25])).
% 56.17/56.25  cnf(1604,plain,
% 56.17/56.25     (~P2(f7(a1,a1),f7(f8(a4),f8(a4)),a4)),
% 56.17/56.25     inference(scs_inference,[],[1583,810,721,27])).
% 56.17/56.25  cnf(1606,plain,
% 56.17/56.25     (P2(f7(f8(a4),f8(a4)),f3(a4,a4),f3(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[1583,810,721,27,23])).
% 56.17/56.25  cnf(1610,plain,
% 56.17/56.25     (~P2(a1,f6(a1),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[143,139,1583,1166,225,810,721,500,275,27,23,30,29])).
% 56.17/56.25  cnf(1614,plain,
% 56.17/56.25     (P4(f6(a2),a1,f6(a2))),
% 56.17/56.25     inference(scs_inference,[],[126,143,139,1583,1555,1166,225,1360,253,810,721,500,275,27,23,30,29,26,22])).
% 56.17/56.25  cnf(1616,plain,
% 56.17/56.25     (P2(f3(a1,a1),f7(f8(a4),f8(a4)),f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[126,143,139,1583,1555,1166,1501,225,1360,253,810,677,721,500,275,27,23,30,29,26,22,28])).
% 56.17/56.25  cnf(1618,plain,
% 56.17/56.25     (P4(f3(f6(a1),f6(a1)),a4,a4)),
% 56.17/56.25     inference(scs_inference,[],[126,143,139,1583,1555,1166,1336,1501,225,1360,253,810,677,721,500,275,27,23,30,29,26,22,28,25])).
% 56.17/56.25  cnf(1624,plain,
% 56.17/56.25     (~P2(f7(a1,a1),f7(a4,a4),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[141,1616,1499,1368,27,23])).
% 56.17/56.25  cnf(1626,plain,
% 56.17/56.25     (P4(f7(a4,a4),f7(a4,a4),f3(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[141,1616,1499,1368,964,299,174,27,23,29])).
% 56.17/56.25  cnf(1628,plain,
% 56.17/56.25     (~P4(a4,f3(a1,a1),a1)),
% 56.17/56.25     inference(scs_inference,[],[141,1616,1499,1368,1593,964,299,174,27,23,29,22])).
% 56.17/56.25  cnf(1632,plain,
% 56.17/56.25     (~P4(a4,f6(a4),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[141,143,1616,1499,1368,1593,350,1525,697,964,452,299,164,174,27,23,29,22,26,25])).
% 56.17/56.25  cnf(1634,plain,
% 56.17/56.25     (~P2(f7(f8(a4),f8(a4)),f7(a1,a1),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[141,143,1616,1499,1368,1593,1489,350,1525,697,516,964,452,299,164,174,27,23,29,22,26,25,28])).
% 56.17/56.25  cnf(1636,plain,
% 56.17/56.25     (P3(f3(a1,a1),f3(f7(a1,a1),f7(a1,a1)))),
% 56.17/56.25     inference(scs_inference,[],[141,143,1616,1499,1368,1593,1489,350,1525,1551,697,516,964,452,299,550,164,174,27,23,29,22,26,25,28,12])).
% 56.17/56.25  cnf(1640,plain,
% 56.17/56.25     (P4(f6(f6(a2)),f6(a2),a1)),
% 56.17/56.25     inference(scs_inference,[],[141,143,1616,1499,1368,1593,1489,350,1525,1551,1535,697,516,964,452,299,550,164,174,27,23,29,22,26,25,28,12,8,15])).
% 56.17/56.25  cnf(1650,plain,
% 56.17/56.25     (~P2(f7(a1,a1),f8(f8(a4)),a4)),
% 56.17/56.25     inference(scs_inference,[],[1390,828,400,27])).
% 56.17/56.25  cnf(1652,plain,
% 56.17/56.25     (P2(a5,f3(f8(a4),f8(a4)),f3(a5,a5))),
% 56.17/56.25     inference(scs_inference,[],[1000,1390,828,400,27,23])).
% 56.17/56.25  cnf(1654,plain,
% 56.17/56.25     (~P2(f6(a4),a4,a1)),
% 56.17/56.25     inference(scs_inference,[],[145,139,143,1000,1390,328,828,400,27,23,30])).
% 56.17/56.25  cnf(1656,plain,
% 56.17/56.25     (~P2(f6(a4),a4,f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[145,139,143,1000,1390,1628,328,828,164,400,275,27,23,30,29])).
% 56.17/56.25  cnf(1662,plain,
% 56.17/56.25     (~P4(a4,a4,a4)),
% 56.17/56.25     inference(scs_inference,[],[124,145,139,143,1000,1390,1640,1628,328,828,309,164,400,275,27,23,30,29,22,25,26])).
% 56.17/56.25  cnf(1664,plain,
% 56.17/56.25     (P2(f7(a1,a1),f7(f8(a4),f8(a4)),f7(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[124,141,145,139,143,1000,1390,1640,1628,1616,328,828,309,164,400,275,27,23,30,29,22,25,26,28])).
% 56.17/56.25  cnf(1670,plain,
% 56.17/56.25     (P2(f3(a4,a4),f3(f7(a1,a1),f7(a1,a1)),f7(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[1463,375,968,27])).
% 56.17/56.25  cnf(1672,plain,
% 56.17/56.25     (~P2(a4,f3(a1,a1),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[1271,1463,375,968,27,23])).
% 56.17/56.25  cnf(1674,plain,
% 56.17/56.25     (~P2(f3(a1,a1),f7(f8(a4),f8(a4)),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[1664,1271,958,1463,818,1616,375,968,27,23,29])).
% 56.17/56.25  cnf(1680,plain,
% 56.17/56.25     (~P4(f3(f6(a1),f6(a1)),a4,f6(a1))),
% 56.17/56.25     inference(scs_inference,[],[126,143,1664,1271,1435,1618,958,1463,972,818,1616,375,968,227,27,23,29,22,26,25])).
% 56.17/56.25  cnf(1682,plain,
% 56.17/56.25     (P2(f7(f8(a4),f8(a4)),a2,a2)),
% 56.17/56.25     inference(scs_inference,[],[126,143,1664,1271,1435,1618,958,1463,972,818,1225,1616,375,968,980,227,27,23,29,22,26,25,28])).
% 56.17/56.25  cnf(1684,plain,
% 56.17/56.25     (P2(f7(f8(a4),f8(a4)),a5,a5)),
% 56.17/56.25     inference(scs_inference,[],[126,143,1664,1271,1435,1618,958,1463,972,818,1225,1616,375,968,980,227,27,23,29,22,26,25,28,235])).
% 56.17/56.25  cnf(1686,plain,
% 56.17/56.25     (~P3(f3(f7(a1,a1),f7(a1,a1)),f3(a1,a1))+P4(a1,f3(f7(a1,a1),f7(a1,a1)),f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[126,143,1664,1271,1435,1618,1636,958,1463,972,818,1225,1616,375,968,980,227,27,23,29,22,26,25,28,235,19])).
% 56.17/56.25  cnf(1690,plain,
% 56.17/56.25     (P2(a5,f3(a2,a2),f3(f7(a2,a2),f7(a2,a2)))),
% 56.17/56.25     inference(scs_inference,[],[1652,1251,1142,27])).
% 56.17/56.25  cnf(1692,plain,
% 56.17/56.25     (P2(f3(f7(a1,a1),f7(a1,a1)),f3(a4,a4),f7(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[1670,1652,1251,1142,27,23])).
% 56.17/56.25  cnf(1694,plain,
% 56.17/56.25     (~P4(f7(a1,a1),f3(a1,a1),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[1670,1674,1652,1251,1142,1664,818,1616,27,23,30])).
% 56.17/56.25  cnf(1696,plain,
% 56.17/56.25     (P4(a4,f3(f6(a1),f6(a1)),a4)),
% 56.17/56.25     inference(scs_inference,[],[1670,1674,1652,1251,1142,1618,1664,818,1616,27,23,30,22])).
% 56.17/56.25  cnf(1702,plain,
% 56.17/56.25     (~P2(f3(a1,a1),f7(a4,a4),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[126,1670,1674,1652,1656,1251,1142,1348,1618,1664,685,1285,281,263,818,1616,677,27,23,30,22,29,26,28])).
% 56.17/56.25  cnf(1704,plain,
% 56.17/56.25     (P4(f6(a4),f3(a4,a4),a4)),
% 56.17/56.25     inference(scs_inference,[],[126,145,143,1670,1674,1652,1656,1251,1142,1348,1618,1664,685,1285,281,263,818,1616,677,174,27,23,30,22,29,26,28,25])).
% 56.17/56.25  cnf(1706,plain,
% 56.17/56.25     (~P4(a4,f3(f6(a1),f6(a1)),a1)),
% 56.17/56.25     inference(scs_inference,[],[126,145,143,1670,1674,1652,1656,1251,1142,1348,1618,1664,685,1285,281,263,818,1616,677,174,27,23,30,22,29,26,28,25,147])).
% 56.17/56.25  cnf(1710,plain,
% 56.17/56.25     (~P4(a4,a1,f3(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[126,145,143,1670,1674,1652,1656,1251,1142,1348,1618,1664,685,1285,281,263,818,1616,677,1188,174,27,23,30,22,29,26,28,25,147,116,178])).
% 56.17/56.25  cnf(1718,plain,
% 56.17/56.25     (~P2(f3(f3(a1,a1),f3(a1,a1)),f3(a1,a1),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[1533,1565,868,677,27,23])).
% 56.17/56.25  cnf(1720,plain,
% 56.17/56.25     (~P2(f6(a4),f8(a4),a1)),
% 56.17/56.25     inference(scs_inference,[],[145,1533,1565,1439,868,677,828,713,27,23,30])).
% 56.17/56.25  cnf(1722,plain,
% 56.17/56.25     (~P4(f3(a1,a1),f7(a1,a1),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[145,1533,1694,1565,1439,868,677,828,713,27,23,30,22])).
% 56.17/56.25  cnf(1724,plain,
% 56.17/56.25     (~P2(f3(a4,a4),a4,a4)),
% 56.17/56.25     inference(scs_inference,[],[145,139,1662,1533,1694,1565,1439,868,677,828,713,174,27,23,30,22,29])).
% 56.17/56.25  cnf(1726,plain,
% 56.17/56.25     (P4(f3(a1,a1),a4,a4)),
% 56.17/56.25     inference(scs_inference,[],[162,145,139,143,1662,1533,1694,1565,1439,1425,868,677,828,713,174,27,23,30,22,29,26])).
% 56.17/56.25  cnf(1728,plain,
% 56.17/56.25     (~P2(f3(a1,a1),f7(f7(a4,a4),f7(a4,a4)),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[162,145,139,143,1662,1533,1694,1565,1439,1425,868,1044,677,828,713,400,174,27,23,30,22,29,26,28])).
% 56.17/56.25  cnf(1732,plain,
% 56.17/56.25     (~P3(f3(f7(a1,a1),f7(a1,a1)),f3(a1,a1))+P4(a1,f3(a1,a1),f3(f7(a1,a1),f7(a1,a1)))),
% 56.17/56.25     inference(scs_inference,[],[162,145,139,143,1662,1533,1694,1565,1439,1696,1425,520,1636,868,1044,677,828,713,400,174,27,23,30,22,29,26,28,25,19])).
% 56.17/56.25  cnf(1742,plain,
% 56.17/56.25     (P3(f3(a1,a1),f7(f7(a1,a1),f7(a1,a1)))),
% 56.17/56.25     inference(scs_inference,[],[1551,334,12])).
% 56.17/56.25  cnf(1744,plain,
% 56.17/56.25     (~P2(f7(f8(a4),f8(a4)),f7(a1,a1),a4)),
% 56.17/56.25     inference(scs_inference,[],[1634,1551,840,334,828,12,27])).
% 56.17/56.25  cnf(1748,plain,
% 56.17/56.25     (P4(a4,f3(a1,a1),a4)),
% 56.17/56.25     inference(scs_inference,[],[1563,1634,1726,1551,840,334,828,12,27,23,22])).
% 56.17/56.25  cnf(1750,plain,
% 56.17/56.25     (P4(f3(a4,a4),f3(a4,a4),f7(f3(a4,a4),f3(a4,a4)))),
% 56.17/56.25     inference(scs_inference,[],[1563,1634,1726,1626,1120,878,1551,840,334,828,12,27,23,22,29])).
% 56.17/56.25  cnf(1752,plain,
% 56.17/56.25     (P2(f3(f3(a1,a1),f3(a1,a1)),f3(a1,a1),f7(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[1563,1634,1726,1626,1670,1120,878,792,1551,840,968,334,828,12,27,23,22,29,28])).
% 56.17/56.25  cnf(1756,plain,
% 56.17/56.25     (~P4(a4,f8(a4),a4)),
% 56.17/56.25     inference(scs_inference,[],[145,1563,1634,1372,1726,1626,1670,1120,878,820,792,1551,840,968,334,828,360,12,27,23,22,29,28,25,26])).
% 56.17/56.25  cnf(1766,plain,
% 56.17/56.25     (P2(f7(f8(a4),f8(a4)),f7(a1,a1),f7(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[1606,1670,27])).
% 56.17/56.25  cnf(1768,plain,
% 56.17/56.25     (~P2(a4,f6(a4),a1)),
% 56.17/56.25     inference(scs_inference,[],[1606,1654,1670,27,23])).
% 56.17/56.25  cnf(1770,plain,
% 56.17/56.25     (~P4(a1,a4,f6(a1))),
% 56.17/56.25     inference(scs_inference,[],[139,143,1606,1469,1654,1670,275,27,23,30])).
% 56.17/56.25  cnf(1774,plain,
% 56.17/56.25     (~P2(f6(a4),a4,f3(f6(a1),f6(a1)))),
% 56.17/56.25     inference(scs_inference,[],[139,164,143,1606,1469,1654,1437,1706,1670,275,27,23,30,22,29])).
% 56.17/56.25  cnf(1776,plain,
% 56.17/56.25     (~P2(a4,a4,f3(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[139,164,143,1606,1469,1654,1437,1706,1724,1670,275,27,23,30,22,29,28])).
% 56.17/56.25  cnf(1778,plain,
% 56.17/56.25     (~P4(f6(a4),a4,f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[139,164,145,143,1606,1469,1654,1437,1465,1706,1724,1748,1670,275,27,23,30,22,29,28,26])).
% 56.17/56.25  cnf(1780,plain,
% 56.17/56.25     (~P4(f6(f3(a1,a1)),f6(a4),f7(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[139,164,145,143,1606,1469,1654,1722,1437,1465,1706,1724,1748,1670,1423,794,275,27,23,30,22,29,28,26,25])).
% 56.17/56.25  cnf(1789,plain,
% 56.17/56.25     (P2(f3(a1,a1),f3(f3(a1,a1),f3(a1,a1)),f7(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[1752,1000,930,1652,27,23])).
% 56.17/56.25  cnf(1791,plain,
% 56.17/56.25     (P4(f3(a4,a4),f6(a4),a4)),
% 56.17/56.25     inference(scs_inference,[],[1752,1000,930,1704,1652,27,23,22])).
% 56.17/56.25  cnf(1795,plain,
% 56.17/56.25     (~P4(f6(a4),f3(a2,a2),f3(a2,a2))),
% 56.17/56.25     inference(scs_inference,[],[164,1752,1692,1000,930,1455,1704,389,1652,956,788,27,23,22,28,25])).
% 56.17/56.25  cnf(1801,plain,
% 56.17/56.25     (~P2(f3(f6(a1),f6(a1)),a5,a4)),
% 56.17/56.25     inference(scs_inference,[],[164,162,1752,1742,1692,1146,564,1000,930,1455,408,1704,1297,389,1652,956,788,892,27,23,22,28,25,26,19,29])).
% 56.17/56.25  cnf(1805,plain,
% 56.17/56.25     (P3(f3(a1,a1),f7(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[1102,1636,846,24])).
% 56.17/56.25  cnf(1807,plain,
% 56.17/56.25     (P2(f8(a4),f6(a2),f6(a2))),
% 56.17/56.25     inference(scs_inference,[],[1537,1102,1636,846,314,24,27])).
% 56.17/56.25  cnf(1809,plain,
% 56.17/56.25     (~P2(a4,f6(a4),f6(a1))),
% 56.17/56.25     inference(scs_inference,[],[1523,1537,1102,1636,846,314,24,27,23])).
% 56.17/56.25  cnf(1811,plain,
% 56.17/56.25     (P2(f3(f8(a4),f8(a4)),f7(a1,a1),f7(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[1523,1537,1102,661,982,1636,846,87,314,24,27,23,30])).
% 56.17/56.25  cnf(1813,plain,
% 56.17/56.25     (~P4(f3(a2,a2),f6(a4),f3(a2,a2))),
% 56.17/56.25     inference(scs_inference,[],[1523,1795,1537,1102,661,982,1636,846,87,314,24,27,23,30,22])).
% 56.17/56.25  cnf(1815,plain,
% 56.17/56.25     (~P2(f3(a1,a1),x18151,a4)),
% 56.17/56.25     inference(scs_inference,[],[149,1523,1795,1662,1537,1102,661,982,1636,846,87,314,24,27,23,30,22,29])).
% 56.17/56.25  cnf(1817,plain,
% 56.17/56.25     (~P2(f8(a4),f7(a4,a4),f3(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[149,1523,1776,1795,1662,1537,1102,661,982,1636,846,87,170,314,24,27,23,30,22,29,28])).
% 56.17/56.25  cnf(1819,plain,
% 56.17/56.25     (P4(a4,f6(a4),f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[149,164,162,1523,1776,1795,1662,1537,1425,1102,661,982,1636,846,87,170,314,24,27,23,30,22,29,28,26])).
% 56.17/56.25  cnf(1821,plain,
% 56.17/56.25     (~P4(a1,a4,f3(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[149,164,162,145,1523,1776,1795,1710,1662,1537,1425,1102,661,982,1636,846,87,170,314,24,27,23,30,22,29,28,26,25])).
% 56.17/56.25  cnf(1831,plain,
% 56.17/56.25     (~P2(f8(a4),f3(a4,a4),f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[1817,1606,980,27])).
% 56.17/56.25  cnf(1833,plain,
% 56.17/56.25     (P2(f7(a1,a1),f3(f8(a4),f8(a4)),f7(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[1811,1817,1606,980,27,23])).
% 56.17/56.25  cnf(1835,plain,
% 56.17/56.25     (~P4(f3(f6(a4),f6(a4)),f3(a4,a4),a4)),
% 56.17/56.25     inference(scs_inference,[],[145,1811,1457,1817,1606,208,711,980,27,23,30])).
% 56.17/56.25  cnf(1837,plain,
% 56.17/56.25     (P4(f6(a4),a4,f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[145,1811,1457,1817,1819,1606,208,711,980,27,23,30,22])).
% 56.17/56.25  cnf(1839,plain,
% 56.17/56.25     (~P4(f6(a4),f8(a4),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[145,1811,1457,1817,1791,1819,1756,1606,208,711,980,27,23,30,22,26])).
% 56.17/56.25  cnf(1841,plain,
% 56.17/56.25     (~P4(f3(a4,a4),f6(a4),f6(a1))),
% 56.17/56.25     inference(scs_inference,[],[145,1811,1457,1817,1680,1791,1819,1756,1606,208,540,711,980,27,23,30,22,26,25])).
% 56.17/56.25  cnf(1852,plain,
% 56.17/56.25     (P2(a5,f7(a4,a4),a5)),
% 56.17/56.25     inference(scs_inference,[],[210,170,27])).
% 56.17/56.25  cnf(1854,plain,
% 56.17/56.25     (~P2(f7(a4,a4),f3(a1,a1),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[1702,210,170,27,23])).
% 56.17/56.25  cnf(1856,plain,
% 56.17/56.25     (~P4(f6(a4),f6(f3(a1,a1)),f7(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[1702,1780,210,170,27,23,22])).
% 56.17/56.25  cnf(1858,plain,
% 56.17/56.25     (~P4(f8(a4),f8(a4),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[1702,1780,1662,210,170,314,27,23,22,29])).
% 56.17/56.25  cnf(1860,plain,
% 56.17/56.25     (~P4(a1,f3(a4,a4),a4)),
% 56.17/56.25     inference(scs_inference,[],[143,168,1702,1780,1662,1791,210,170,314,27,23,22,29,26])).
% 56.17/56.25  cnf(1864,plain,
% 56.17/56.25     (~P3(f7(a1,a1),f3(a1,a1))+P4(a1,f3(a1,a1),f7(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[143,168,1805,1770,1702,1780,1662,1791,210,972,490,170,314,27,23,22,29,26,25,19])).
% 56.17/56.25  cnf(1876,plain,
% 56.17/56.25     (~P2(f7(a1,a1),f3(a1,a1),a4)),
% 56.17/56.25     inference(scs_inference,[],[1789,1815,1752,27])).
% 56.17/56.25  cnf(1879,plain,
% 56.17/56.25     (P2(f7(a4,a4),a5,a5)),
% 56.17/56.25     inference(scs_inference,[],[1789,1852,1815,1752,27,23])).
% 56.17/56.25  cnf(1881,plain,
% 56.17/56.25     (~P4(f7(a4,a4),f3(a1,a1),f3(f7(a1,a1),f7(a1,a1)))),
% 56.17/56.25     inference(scs_inference,[],[1789,1852,1815,1180,1752,1748,299,677,27,23,30])).
% 56.17/56.25  cnf(1883,plain,
% 56.17/56.25     (P4(f7(a2,a2),a1,f7(a2,a2))),
% 56.17/56.25     inference(scs_inference,[],[1789,1852,1815,1180,1752,1748,830,299,677,27,23,30,22])).
% 56.17/56.25  cnf(1887,plain,
% 56.17/56.25     (~P2(f6(a1),f3(a5,a5),a4)),
% 56.17/56.25     inference(scs_inference,[],[1789,1852,1417,1815,1180,1801,1070,1527,1752,1748,830,1217,408,299,677,27,23,30,22,29,28])).
% 56.17/56.25  cnf(1889,plain,
% 56.17/56.25     (~P4(a4,f3(a1,a1),f3(f6(a1),f6(a1)))),
% 56.17/56.25     inference(scs_inference,[],[149,1789,1852,1417,1507,1815,1180,1801,1070,1527,1752,1748,830,1217,408,299,677,27,23,30,22,29,28,26])).
% 56.17/56.25  cnf(1891,plain,
% 56.17/56.25     (~P4(f6(a4),f3(f6(a1),f6(a1)),f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[149,164,1789,1852,1417,1507,1815,1180,1801,1070,1527,866,1752,1748,830,1217,408,1072,299,677,27,23,30,22,29,28,26,25])).
% 56.17/56.25  cnf(1893,plain,
% 56.17/56.25     (~P3(f7(a1,a1),f3(a1,a1))+P4(a1,f7(a1,a1),f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[149,164,1789,1852,1417,1507,1815,1180,1801,1070,1527,866,1805,1752,1748,830,1217,408,1072,299,677,27,23,30,22,29,28,26,25,19])).
% 56.17/56.25  cnf(1899,plain,
% 56.17/56.25     (~P2(f3(a1,a1),f7(a5,a5),f8(f8(a4)))),
% 56.17/56.25     inference(scs_inference,[],[1815,638,400,27])).
% 56.17/56.25  cnf(1902,plain,
% 56.17/56.25     (~P2(f7(f7(a4,a4),f7(a4,a4)),f3(a1,a1),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[1728,1815,638,400,27,23])).
% 56.17/56.25  cnf(1904,plain,
% 56.17/56.25     (~P4(f7(a4,a4),f7(a4,a4),a4)),
% 56.17/56.25     inference(scs_inference,[],[170,1728,1815,1724,638,400,174,27,23,30])).
% 56.17/56.25  cnf(1906,plain,
% 56.17/56.25     (~P4(f3(a1,a1),f7(a4,a4),f3(f7(a1,a1),f7(a1,a1)))),
% 56.17/56.25     inference(scs_inference,[],[170,1881,1728,1815,1724,638,400,174,27,23,30,22])).
% 56.17/56.25  cnf(1908,plain,
% 56.17/56.25     (~P2(a1,f7(f8(a4),f8(a4)),a4)),
% 56.17/56.25     inference(scs_inference,[],[170,1881,1728,1883,1156,1815,1032,1724,638,400,174,27,23,30,22,29])).
% 56.17/56.25  cnf(1910,plain,
% 56.17/56.25     (~P2(f8(a4),f7(a4,a4),f6(a1))),
% 56.17/56.25     inference(scs_inference,[],[170,1881,1728,1883,1156,1469,1815,1032,1724,638,314,400,174,27,23,30,22,29,28])).
% 56.17/56.25  cnf(1912,plain,
% 56.17/56.25     (~P4(f6(f6(a1)),a4,f3(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[170,162,1881,1728,1883,1821,1156,1469,1815,1032,1724,638,498,314,400,174,27,23,30,22,29,28,26])).
% 56.17/56.25  cnf(1914,plain,
% 56.17/56.25     (~P4(a4,f6(a4),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[170,164,162,1881,1728,1883,1821,1156,1469,683,1815,1032,1724,638,498,314,400,174,27,23,30,22,29,28,26,25])).
% 56.17/56.25  cnf(1922,plain,
% 56.17/56.25     (P2(f3(a2,a2),a5,f3(f7(a2,a2),f7(a2,a2)))),
% 56.17/56.25     inference(scs_inference,[],[1690,1172,840,828,27,23])).
% 56.17/56.25  cnf(1924,plain,
% 56.17/56.25     (P2(f3(a4,a4),a4,f3(f7(a4,a4),f7(a4,a4)))),
% 56.17/56.25     inference(scs_inference,[],[170,1690,1172,870,840,828,174,27,23,30])).
% 56.17/56.25  cnf(1926,plain,
% 56.17/56.25     (P4(f7(a5,a5),f6(a1),f7(a5,a5))),
% 56.17/56.25     inference(scs_inference,[],[170,1690,1172,870,518,840,828,174,27,23,30,22])).
% 56.17/56.25  cnf(1928,plain,
% 56.17/56.25     (~P2(f6(a4),f3(a1,a1),f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[145,170,1690,1172,1881,870,518,634,840,261,828,174,27,23,30,22,29])).
% 56.17/56.25  cnf(1930,plain,
% 56.17/56.25     (~P4(f6(a2),a4,f6(a2))),
% 56.17/56.25     inference(scs_inference,[],[145,170,1690,1172,1881,870,1640,518,634,840,261,828,309,174,27,23,30,22,29,26])).
% 56.17/56.25  cnf(1932,plain,
% 56.17/56.25     (P2(f7(f8(a4),f8(a4)),f6(a2),f6(a2))),
% 56.17/56.25     inference(scs_inference,[],[145,170,1690,1172,1881,870,1640,1807,518,634,840,261,828,309,980,174,27,23,30,22,29,26,28])).
% 56.17/56.25  cnf(1946,plain,
% 56.17/56.25     (P2(f7(a4,a4),f7(a2,a2),f7(a2,a2))),
% 56.17/56.25     inference(scs_inference,[],[1879,1052,27])).
% 56.17/56.25  cnf(1953,plain,
% 56.17/56.25     (~P4(f3(f6(a1),f6(a1)),f6(a4),f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[1899,1891,1879,1837,988,1815,1052,603,27,23,30,22])).
% 56.17/56.25  cnf(1955,plain,
% 56.17/56.25     (P4(f3(a1,a1),f7(a4,a4),f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[170,1899,1891,1879,1837,988,1726,1815,1052,346,603,27,23,30,22,29])).
% 56.17/56.25  cnf(1957,plain,
% 56.17/56.25     (~P4(f3(a1,a1),f3(a1,a1),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[149,170,1899,1891,1879,1837,988,1182,1726,1815,1052,346,603,27,23,30,22,29,26])).
% 56.17/56.25  cnf(1959,plain,
% 56.17/56.25     (~P4(f6(f8(a4)),f8(a4),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[149,170,1858,1899,1891,1879,1837,988,1467,1182,1726,1815,1052,346,603,713,27,23,30,22,29,26,25])).
% 56.17/56.25  cnf(1963,plain,
% 56.17/56.25     (~P2(f3(a4,a4),f3(a1,a1),a4)),
% 56.17/56.25     inference(scs_inference,[],[149,170,1858,1899,1891,1513,1924,1879,1837,988,1555,1467,1182,1726,1815,1052,1453,346,603,261,713,27,23,30,22,29,26,25,24,28])).
% 56.17/56.25  cnf(1967,plain,
% 56.17/56.25     (~P2(f7(a4,a4),a4,f3(f7(a1,a1),f7(a1,a1)))),
% 56.17/56.25     inference(scs_inference,[],[170,1180,27])).
% 56.17/56.25  cnf(1969,plain,
% 56.17/56.25     (P2(f7(a2,a2),f7(a4,a4),f7(a2,a2))),
% 56.17/56.25     inference(scs_inference,[],[170,1946,1180,27,23])).
% 56.17/56.25  cnf(1971,plain,
% 56.17/56.25     (P4(f7(a4,a4),f3(a1,a1),f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[170,1946,1955,1180,27,23,22])).
% 56.17/56.25  cnf(1977,plain,
% 56.17/56.25     (~P4(f6(a4),f3(a5,a5),f3(a5,a5))),
% 56.17/56.25     inference(scs_inference,[],[164,170,1946,1955,1744,1953,1180,1348,1425,336,980,314,27,23,22,28,26,25])).
% 56.17/56.25  cnf(1987,plain,
% 56.17/56.25     (~P2(f3(a1,a1),f3(a4,a4),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[1924,1815,314,27])).
% 56.17/56.25  cnf(1992,plain,
% 56.17/56.25     (~P4(f7(a1,a1),f3(f7(a1,a1),f7(a1,a1)),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[1215,1519,1924,1815,406,634,85,314,27,23,30])).
% 56.17/56.25  cnf(1994,plain,
% 56.17/56.25     (~P4(f3(a5,a5),f6(a4),f3(a5,a5))),
% 56.17/56.25     inference(scs_inference,[],[1215,1519,1977,1924,1815,406,634,85,314,27,23,30,22])).
% 56.17/56.25  cnf(1996,plain,
% 56.17/56.25     (P2(f8(a4),a4,f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[170,1215,1519,1977,1924,1815,406,634,828,85,314,27,23,30,22,28])).
% 56.17/56.25  cnf(1998,plain,
% 56.17/56.25     (~P2(f3(a4,a4),f7(a4,a4),a4)),
% 56.17/56.25     inference(scs_inference,[],[170,1215,1519,1977,1904,1924,430,1626,1815,406,634,828,85,314,27,23,30,22,28,29])).
% 56.17/56.25  cnf(2000,plain,
% 56.17/56.25     (P4(a4,f6(a4),f3(f6(a1),f6(a1)))),
% 56.17/56.25     inference(scs_inference,[],[162,164,170,1215,1519,1977,1904,1924,430,1626,1815,1076,406,634,828,85,314,27,23,30,22,28,29,26])).
% 56.17/56.25  cnf(2002,plain,
% 56.17/56.25     (P4(a4,f3(f6(a4),f6(a4)),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[162,164,170,1215,1519,1977,1904,990,1924,430,1626,1815,1076,406,794,634,828,85,314,27,23,30,22,28,29,26,25])).
% 56.17/56.25  cnf(2004,plain,
% 56.17/56.25     (~P2(a1,f8(a4),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[162,164,170,1215,1519,1977,1904,990,1924,430,1626,1815,1076,406,794,634,828,85,314,27,23,30,22,28,29,26,25,671])).
% 56.17/56.25  cnf(2008,plain,
% 56.17/56.25     (P2(a5,f3(a2,a2),f3(f7(a5,a5),f7(a5,a5)))),
% 56.17/56.25     inference(scs_inference,[],[170,1928,1287,346,27,23])).
% 56.17/56.25  cnf(2010,plain,
% 56.17/56.25     (P4(f6(a4),a4,f3(f6(a1),f6(a1)))),
% 56.17/56.25     inference(scs_inference,[],[170,1928,1287,2000,346,27,23,22])).
% 56.17/56.25  cnf(2012,plain,
% 56.17/56.25     (P2(f7(a4,a4),f6(a2),f6(a2))),
% 56.17/56.25     inference(scs_inference,[],[170,1928,1287,2000,1537,346,27,23,22,28])).
% 56.17/56.25  cnf(2014,plain,
% 56.17/56.25     (~P2(f6(a1),f8(f8(a4)),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[170,1928,1287,2000,1926,1070,1537,1217,346,27,23,22,28,29])).
% 56.17/56.25  cnf(2016,plain,
% 56.17/56.25     (~P4(f3(a1,a1),f8(a4),f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[170,1971,1928,1287,2000,1926,1070,1537,1217,416,346,27,23,22,28,29,26])).
% 56.17/56.25  cnf(2018,plain,
% 56.17/56.25     (~P4(f3(f6(a4),f6(a4)),a4,f6(a1))),
% 56.17/56.25     inference(scs_inference,[],[162,170,174,1971,1928,1287,1835,2000,1926,1070,1537,1217,416,346,27,23,22,28,29,26,25])).
% 56.17/56.25  cnf(2028,plain,
% 56.17/56.25     (P2(f3(a4,a4),f7(f3(a1,a1),f3(a1,a1)),f7(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[1752,609,968,27])).
% 56.17/56.25  cnf(2030,plain,
% 56.17/56.25     (~P2(f3(a4,a4),f8(a4),f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[1831,1752,609,968,27,23])).
% 56.17/56.25  cnf(2032,plain,
% 56.17/56.25     (~P4(f3(f3(a1,a1),f3(a1,a1)),f7(a1,a1),a4)),
% 56.17/56.25     inference(scs_inference,[],[1831,1963,679,1752,609,968,27,23,30])).
% 56.17/56.25  cnf(2040,plain,
% 56.17/56.25     (~P4(f3(f6(a1),f6(a1)),f3(a1,a1),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[164,1433,1831,1839,1889,1963,1996,978,2000,1696,679,1752,609,968,53,141,261,27,23,30,22,28,29,26])).
% 56.17/56.25  cnf(2042,plain,
% 56.17/56.25     (~P4(f3(a4,a4),f3(f6(a4),f6(a4)),a4)),
% 56.17/56.25     inference(scs_inference,[],[164,1433,1778,1831,1839,1889,1963,1996,2002,978,2000,1696,679,1752,1704,609,968,53,141,261,27,23,30,22,28,29,26,25])).
% 56.17/56.25  cnf(2054,plain,
% 56.17/56.25     (~P2(f7(a1,a1),f3(f8(a4),f8(a4)),a4)),
% 56.17/56.25     inference(scs_inference,[],[1833,1766,1744,1805,1495,12,27])).
% 56.17/56.25  cnf(2056,plain,
% 56.17/56.25     (P2(f7(f3(a1,a1),f3(a1,a1)),f3(a4,a4),f7(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[2028,1833,1766,1744,1805,1495,12,27,23])).
% 56.17/56.25  cnf(2058,plain,
% 56.17/56.25     (P2(f3(a4,a4),f3(a2,a2),f3(f3(a2,a2),f3(a2,a2)))),
% 56.17/56.25     inference(scs_inference,[],[174,2028,476,1833,1766,1744,1805,1495,924,12,27,23,30])).
% 56.17/56.25  cnf(2060,plain,
% 56.17/56.25     (P4(f3(f6(a4),f6(a4)),a4,f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[174,2028,476,1833,1766,1744,2002,1805,1495,924,12,27,23,30,22])).
% 56.17/56.25  cnf(2062,plain,
% 56.17/56.25     (~P2(a4,f8(f8(a4)),f3(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[174,170,2028,476,2030,1833,1766,1744,2002,1805,1495,924,400,12,27,23,30,22,28])).
% 56.17/56.25  cnf(2064,plain,
% 56.17/56.25     (~P2(f6(a4),a1,f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[164,174,170,2028,476,2030,1833,1766,1744,2002,432,1805,530,1495,924,35,400,12,27,23,30,22,28,29])).
% 56.17/56.25  cnf(2068,plain,
% 56.17/56.25     (P4(f7(a4,a4),f3(f3(a1,a1),f3(a1,a1)),f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[164,174,170,2028,476,2016,2030,1833,1766,1744,1971,2002,1447,432,1805,530,1495,1425,924,611,35,400,12,27,23,30,22,28,29,26,25])).
% 56.17/56.25  cnf(2074,plain,
% 56.17/56.25     (~P2(f7(a4,a4),f6(a4),f6(a1))),
% 56.17/56.25     inference(scs_inference,[],[1809,681,299,27])).
% 56.17/56.25  cnf(2076,plain,
% 56.17/56.25     (~P2(f3(a4,a4),f3(a1,a1),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[1987,1809,681,299,27,23])).
% 56.17/56.25  cnf(2080,plain,
% 56.17/56.25     (P2(f7(f8(a4),f8(a4)),a4,f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[1987,1992,1809,1996,681,299,980,314,27,23,22,28])).
% 56.17/56.25  cnf(2082,plain,
% 56.17/56.25     (P4(f3(a4,a4),f3(f6(a4),f6(a4)),f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[174,1987,1992,1809,1996,1819,681,2002,299,980,314,27,23,22,28,26])).
% 56.17/56.25  cnf(2101,plain,
% 56.17/56.25     (~P4(f3(f6(a4),f6(a4)),f3(a4,a4),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[2058,1604,1987,1457,1837,711,980,400,27,23,30])).
% 56.17/56.25  cnf(2103,plain,
% 56.17/56.25     (P4(f3(f3(a1,a1),f3(a1,a1)),f7(a4,a4),f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[2058,2068,1604,1987,1457,1837,711,980,400,27,23,30,22])).
% 56.17/56.25  cnf(2109,plain,
% 56.17/56.25     (~P4(f6(a2),f8(a4),f6(a2))),
% 56.17/56.25     inference(scs_inference,[],[2058,2068,1604,2012,2054,1930,1987,1457,1811,1833,1837,1571,711,360,980,400,27,23,30,22,28,29,26])).
% 56.17/56.25  cnf(2115,plain,
% 56.17/56.25     (P2(a4,f3(a5,a5),f3(a2,a2))),
% 56.17/56.25     inference(scs_inference,[],[170,952,444,27])).
% 56.17/56.25  cnf(2117,plain,
% 56.17/56.25     (~P2(f8(a4),a1,f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[170,2004,952,444,27,23])).
% 56.17/56.25  cnf(2119,plain,
% 56.17/56.25     (~P4(f7(a1,a1),f7(a1,a1),f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[170,2004,1967,952,221,444,322,27,23,30])).
% 56.17/56.25  cnf(2121,plain,
% 56.17/56.25     (~P4(f3(a1,a1),f3(f6(a1),f6(a1)),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[170,2004,1967,2040,952,221,444,322,27,23,30,22])).
% 56.17/56.25  cnf(2125,plain,
% 56.17/56.25     (~P2(f3(f6(a4),f6(a4)),a1,f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[170,2056,2082,1906,1624,2004,1967,2040,952,964,221,375,444,554,322,27,23,30,22,28,29])).
% 56.17/56.25  cnf(2127,plain,
% 56.17/56.25     (~P4(a5,f6(a4),a5)),
% 56.17/56.25     inference(scs_inference,[],[190,170,2056,2082,1906,1624,2004,1967,2040,1994,952,964,221,375,444,554,322,27,23,30,22,28,29,26])).
% 56.17/56.25  cnf(2129,plain,
% 56.17/56.25     (~P4(f3(a1,a1),f6(a4),f3(f6(a4),f6(a4)))),
% 56.17/56.25     inference(scs_inference,[],[190,170,2056,2082,1906,1624,2004,1967,1957,2040,2060,1994,952,1837,964,221,375,444,554,322,27,23,30,22,28,29,26,25])).
% 56.17/56.25  cnf(2144,plain,
% 56.17/56.25     (P2(f7(a4,a4),f7(a5,a5),f7(a5,a5))),
% 56.17/56.25     inference(scs_inference,[],[188,1879,27])).
% 56.17/56.25  cnf(2146,plain,
% 56.17/56.25     (P2(f6(a2),f7(f8(a4),f8(a4)),f6(a2))),
% 56.17/56.25     inference(scs_inference,[],[188,1932,1879,27,23])).
% 56.17/56.25  cnf(2150,plain,
% 56.17/56.25     (P4(f3(f6(a4),f6(a4)),f3(a4,a4),f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[188,1932,659,2082,856,1879,1360,1696,27,23,30,22])).
% 56.17/56.25  cnf(2152,plain,
% 56.17/56.25     (~P2(f3(a5,a5),a1,f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[188,1932,2115,1273,659,2082,856,1879,1360,1696,828,27,23,30,22,28])).
% 56.17/56.25  cnf(2154,plain,
% 56.17/56.25     (~P2(a1,a5,f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[188,1932,2115,1273,659,2082,856,1275,1879,1360,1696,263,828,27,23,30,22,28,29])).
% 56.17/56.25  cnf(2156,plain,
% 56.17/56.25     (~P4(f7(a1,a1),a1,f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[188,2119,1932,2115,1273,659,2082,856,1275,1879,731,601,1360,1696,263,828,27,23,30,22,28,29,26])).
% 56.17/56.25  cnf(2158,plain,
% 56.17/56.25     (P4(f6(a4),f3(f6(a1),f6(a1)),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[188,2119,1932,2115,1273,2010,659,2082,856,1275,2060,1879,990,731,601,1360,1696,263,828,27,23,30,22,28,29,26,25])).
% 56.17/56.25  cnf(2164,plain,
% 56.17/56.25     (~P2(f7(a4,a4),a4,f6(a1))),
% 56.17/56.25     inference(scs_inference,[],[170,1910,1996,27])).
% 56.17/56.25  cnf(2168,plain,
% 56.17/56.25     (P2(f3(a4,a4),f3(a5,a5),f3(f3(a2,a2),f3(a2,a2)))),
% 56.17/56.25     inference(scs_inference,[],[170,174,1910,476,2115,1996,27,23,30])).
% 56.17/56.25  cnf(2172,plain,
% 56.17/56.25     (~P2(f7(a4,a4),f8(a4),f3(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[170,174,1910,2101,476,2030,2115,1501,1996,980,27,23,30,22,28])).
% 56.17/56.25  cnf(2174,plain,
% 56.17/56.25     (~P2(f3(f3(a1,a1),f3(a1,a1)),f7(a5,a5),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[170,174,2103,2144,1910,2101,476,2030,2115,1501,1275,1996,980,27,23,30,22,28,29])).
% 56.17/56.25  cnf(2176,plain,
% 56.17/56.25     (P4(f3(a1,a1),f6(f6(a1)),f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[170,174,2103,2144,2150,1910,2101,476,2030,2115,1257,1501,1275,1996,980,27,23,30,22,28,29,26])).
% 56.17/56.25  cnf(2178,plain,
% 56.17/56.25     (P4(f3(f6(a1),f6(a1)),f3(a2,a2),f3(a2,a2))),
% 56.17/56.25     inference(scs_inference,[],[170,174,2103,2144,2150,1910,2101,476,1336,2030,2115,1257,1501,1275,1996,389,980,27,23,30,22,28,29,26,25])).
% 56.17/56.25  cnf(2193,plain,
% 56.17/56.25     (P4(f3(a2,a2),f3(f6(a1),f6(a1)),f3(a2,a2))),
% 56.17/56.25     inference(scs_inference,[],[2168,2178,1481,500,139,27,23,22])).
% 56.17/56.25  cnf(2195,plain,
% 56.17/56.25     (~P2(a4,f7(a4,a4),f6(a1))),
% 56.17/56.25     inference(scs_inference,[],[170,2168,2178,1481,2164,500,139,27,23,22,28])).
% 56.17/56.25  cnf(2197,plain,
% 56.17/56.25     (~P2(f7(a1,a1),f3(f8(a4),f8(a4)),f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[170,2168,2178,1481,2164,2119,1833,87,500,139,27,23,22,28,29])).
% 56.17/56.25  cnf(2199,plain,
% 56.17/56.25     (~P4(a1,f6(a4),a1)),
% 56.17/56.25     inference(scs_inference,[],[170,2168,2178,1481,1813,2164,2119,642,1833,87,500,139,27,23,22,28,29,26])).
% 56.17/56.25  cnf(2201,plain,
% 56.17/56.25     (~P4(f3(a5,a5),f6(f3(a5,a5)),a4)),
% 56.17/56.25     inference(scs_inference,[],[170,2168,2178,1481,1813,2164,1150,2119,1164,1293,642,1833,87,500,139,27,23,22,28,29,26,25])).
% 56.17/56.25  cnf(2203,plain,
% 56.17/56.25     (P2(f8(f6(a4)),f6(a4),a4)),
% 56.17/56.25     inference(scs_inference,[],[170,2168,2178,1481,1813,2164,1150,2119,1164,1293,642,1833,87,500,137,139,27,23,22,28,29,26,25,20])).
% 56.17/56.25  cnf(2213,plain,
% 56.17/56.25     (P2(f7(f8(a4),f8(a4)),f3(a2,a2),f3(a5,a5))),
% 56.17/56.25     inference(scs_inference,[],[2080,1022,2115,27])).
% 56.17/56.25  cnf(2215,plain,
% 56.17/56.25     (~P2(f3(f8(a4),f8(a4)),f7(a1,a1),f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[2197,2080,1022,2115,27,23])).
% 56.17/56.25  cnf(2217,plain,
% 56.17/56.25     (~P2(f3(f7(a1,a1),f7(a1,a1)),f7(a4,a4),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[2197,1998,2080,1022,1010,2115,1791,964,27,23,30])).
% 56.17/56.25  cnf(2219,plain,
% 56.17/56.25     (~P4(f6(a4),f3(a1,a1),f3(f6(a4),f6(a4)))),
% 56.17/56.25     inference(scs_inference,[],[2197,2129,1998,2080,1022,1010,2115,1791,964,27,23,30,22])).
% 56.17/56.25  cnf(2223,plain,
% 56.17/56.25     (~P2(a1,f7(f8(a4),f8(a4)),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[2197,2129,1998,2080,2146,2109,566,1417,1022,1010,2115,1614,1791,964,554,27,23,30,22,28,29])).
% 56.17/56.25  cnf(2225,plain,
% 56.17/56.25     (~P4(f3(f3(a1,a1),f3(a1,a1)),f7(a4,a4),f7(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[2197,2129,1998,2080,2146,2156,2109,566,2103,1417,1022,1010,2115,1614,1791,488,964,554,27,23,30,22,28,29,26])).
% 56.17/56.25  cnf(2227,plain,
% 56.17/56.25     (~P4(f6(a4),f6(a4),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[2197,2129,1998,2080,2146,2156,2109,566,2103,1417,1022,1010,2115,1614,990,1791,820,488,964,554,27,23,30,22,28,29,26,25])).
% 56.17/56.25  cnf(2238,plain,
% 56.17/56.25     (~P4(f7(a4,a4),f7(a4,a4),f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[2227,747])).
% 56.17/56.25  cnf(2239,plain,
% 56.17/56.25     (~P2(f7(a1,a1),a1,a4)),
% 56.17/56.25     inference(scs_inference,[],[1789,1463,1815,27])).
% 56.17/56.25  cnf(2242,plain,
% 56.17/56.25     (P2(f3(a2,a2),f7(f8(a4),f8(a4)),f3(a5,a5))),
% 56.17/56.25     inference(scs_inference,[],[2213,1789,1463,1815,27,23])).
% 56.17/56.25  cnf(2244,plain,
% 56.17/56.25     (~P4(f3(a1,a1),f3(a1,a1),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[174,2213,2076,1789,1463,1815,261,27,23,30])).
% 56.17/56.25  cnf(2246,plain,
% 56.17/56.25     (P4(f3(f6(a1),f6(a1)),f6(a4),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[174,2213,2076,2158,1789,1463,1815,261,27,23,30,22])).
% 56.17/56.25  cnf(2248,plain,
% 56.17/56.25     (~P2(f7(f8(a4),f8(a4)),f3(a4,a4),f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[174,2213,2076,2172,2158,1789,1606,1463,1815,788,261,27,23,30,22,28])).
% 56.17/56.25  cnf(2250,plain,
% 56.17/56.25     (~P2(a4,f6(a4),f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[174,2213,2076,2172,2219,2158,1094,1789,1606,1463,1815,788,603,261,27,23,30,22,28,29])).
% 56.17/56.25  cnf(2254,plain,
% 56.17/56.25     (P4(f6(f7(a1,a1)),f7(a4,a4),f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[174,2213,2042,2076,2172,2219,2158,1176,936,1094,1789,2082,1606,1463,1955,1815,788,603,261,27,23,30,22,28,29,26,25])).
% 56.17/56.25  cnf(2259,plain,
% 56.17/56.25     (~P2(f3(a1,a1),x22591,a4)),
% 56.17/56.25     inference(rename_variables,[],[1815])).
% 56.17/56.25  cnf(2261,plain,
% 56.17/56.25     (~P2(f3(a4,a4),f7(f8(a4),f8(a4)),f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[2248,2203,988,1815,27,23])).
% 56.17/56.25  cnf(2263,plain,
% 56.17/56.25     (~P4(f6(a4),f7(f6(a4),f6(a4)),a4)),
% 56.17/56.25     inference(scs_inference,[],[2248,2203,988,1819,1815,2259,603,27,23,30])).
% 56.17/56.25  cnf(2266,plain,
% 56.17/56.25     (~P4(f7(a4,a4),f3(f3(a1,a1),f3(a1,a1)),f7(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[2225,2248,2203,988,1819,1815,2259,603,27,23,30,22])).
% 56.17/56.25  cnf(2268,plain,
% 56.17/56.25     (P2(f7(a2,a2),a4,f7(a2,a2))),
% 56.17/56.25     inference(scs_inference,[],[1969,2225,2248,2203,2080,1156,988,1819,1815,2259,603,27,23,30,22,28])).
% 56.17/56.25  cnf(2270,plain,
% 56.17/56.25     (~P2(f6(a1),f7(f8(a4),f8(a4)),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[1969,2225,2248,2203,2080,1156,1154,1926,988,1819,1217,1815,2259,603,27,23,30,22,28,29])).
% 56.17/56.25  cnf(2272,plain,
% 56.17/56.25     (~P4(f7(a2,a2),f6(f7(a2,a2)),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[1969,2225,2248,2203,1330,2080,1156,1154,1926,842,988,683,1819,1217,1815,2259,603,27,23,30,22,28,29,25])).
% 56.17/56.25  cnf(2274,plain,
% 56.17/56.25     (P4(f3(f6(a2),f6(a2)),a2,f6(a2))),
% 56.17/56.25     inference(scs_inference,[],[1969,2225,2248,2203,1330,1543,2080,1156,1154,1926,842,988,683,1819,1539,1614,1217,1815,2259,603,27,23,30,22,28,29,25,26])).
% 56.17/56.25  cnf(2281,plain,
% 56.17/56.25     (P2(f6(a4),f8(f6(a4)),a4)),
% 56.17/56.25     inference(scs_inference,[],[2174,2203,638,828,27,23])).
% 56.17/56.25  cnf(2285,plain,
% 56.17/56.25     (P4(f7(a4,a4),f6(f7(a1,a1)),f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[2254,2174,2250,2203,1094,638,2082,1704,828,27,23,30,22])).
% 56.17/56.25  cnf(2287,plain,
% 56.17/56.25     (P2(f3(a5,a5),f3(a2,a2),f7(f3(a2,a2),f3(a2,a2)))),
% 56.17/56.25     inference(scs_inference,[],[2242,2254,2174,2250,472,1589,2203,1094,638,2082,1704,828,27,23,30,22,28])).
% 56.17/56.25  cnf(2289,plain,
% 56.17/56.25     (~P2(f7(a1,a1),f3(a4,a4),f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[2242,2254,2174,2250,472,1589,1126,2203,1692,2119,1094,638,2082,1704,721,828,27,23,30,22,28,29])).
% 56.17/56.25  cnf(2291,plain,
% 56.17/56.25     (~P4(f6(a4),f3(f6(a1),f6(a1)),f6(a1))),
% 56.17/56.25     inference(scs_inference,[],[196,2242,2254,2174,2250,472,1589,1126,2203,2158,1692,2119,1094,638,2082,1704,794,721,828,27,23,30,22,28,29,25])).
% 56.17/56.25  cnf(2293,plain,
% 56.17/56.25     (~P4(f7(a2,a2),f6(a4),f7(a2,a2))),
% 56.17/56.25     inference(scs_inference,[],[196,2242,2254,2174,2250,2199,472,1589,1126,2203,2158,1692,2119,1016,1094,638,2082,1704,794,721,828,27,23,30,22,28,29,25,26])).
% 56.17/56.25  cnf(2308,plain,
% 56.17/56.25     (P2(f8(f8(a4)),a4,a4)),
% 56.17/56.25     inference(scs_inference,[],[2281,1415,27])).
% 56.17/56.25  cnf(2310,plain,
% 56.17/56.25     (~P2(f3(a4,a4),f7(a1,a1),f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[2289,2281,1415,27,23])).
% 56.17/56.25  cnf(2312,plain,
% 56.17/56.25     (P2(f3(f6(a1),f6(a1)),f3(a4,a4),f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[2289,2281,1415,2010,2150,1457,711,27,23,30])).
% 56.17/56.25  cnf(2314,plain,
% 56.17/56.25     (~P4(f6(a4),a5,a5)),
% 56.17/56.25     inference(scs_inference,[],[2289,2127,2281,1415,2010,2150,1457,711,27,23,30,22])).
% 56.17/56.25  cnf(2316,plain,
% 56.17/56.25     (~P2(f3(a2,a2),f6(a1),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[2289,2127,1344,2281,1415,2010,1020,2150,1457,711,400,27,23,30,22,28])).
% 56.17/56.25  cnf(2324,plain,
% 56.17/56.25     (P2(f8(f8(a4)),a5,a5)),
% 56.17/56.25     inference(scs_inference,[],[196,2289,2127,1912,1344,2281,1415,2010,1020,564,870,2150,1209,1457,516,358,711,490,400,27,23,30,22,28,29,25,26,110])).
% 56.17/56.25  cnf(2330,plain,
% 56.17/56.25     (P2(f3(a4,a4),f3(f6(a1),f6(a1)),f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[2312,856,1417,27])).
% 56.17/56.25  cnf(2332,plain,
% 56.17/56.25     (P2(f3(a2,a2),f3(a5,a5),f7(f3(a2,a2),f3(a2,a2)))),
% 56.17/56.25     inference(scs_inference,[],[2287,2312,856,1417,27,23])).
% 56.17/56.25  cnf(2334,plain,
% 56.17/56.25     (~P4(f7(a1,a1),f7(a1,a1),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[2287,2312,2217,856,1417,552,322,27,23,30])).
% 56.17/56.25  cnf(2336,plain,
% 56.17/56.25     (P4(a2,f3(f6(a2),f6(a2)),f6(a2))),
% 56.17/56.25     inference(scs_inference,[],[2287,2312,2217,2274,856,1417,552,322,27,23,30,22])).
% 56.17/56.25  cnf(2338,plain,
% 56.17/56.25     (~P2(f3(a4,a4),f7(f8(a4),f8(a4)),a4)),
% 56.17/56.25     inference(scs_inference,[],[2261,2287,2312,2217,2274,856,1417,2080,552,1606,322,27,23,30,22,28])).
% 56.17/56.25  cnf(2340,plain,
% 56.17/56.25     (~P2(a1,a4,f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[2261,2287,2312,2268,2217,2293,2274,856,1417,2080,1883,552,1606,322,27,23,30,22,28,29])).
% 56.17/56.25  cnf(2342,plain,
% 56.17/56.25     (~P4(f6(a4),f3(a1,a1),f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[2261,2287,2312,2268,2217,2293,2274,1213,856,1417,2080,866,1883,552,2000,1606,322,27,23,30,22,28,29,25])).
% 56.17/56.25  cnf(2344,plain,
% 56.17/56.25     (~P4(f6(f7(a1,a1)),f7(a4,a4),f7(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[2261,2266,2287,2312,2268,2217,2293,2274,2254,1213,856,1417,2080,866,2068,1883,552,2000,1606,322,27,23,30,22,28,29,25,26])).
% 56.17/56.25  cnf(2356,plain,
% 56.17/56.25     (~P4(f7(a4,a4),f6(f7(a1,a1)),f7(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[2239,2344,2117,2308,1056,2268,530,348,713,27,23,30,22])).
% 56.17/56.25  cnf(2358,plain,
% 56.17/56.25     (P2(f7(f3(a4,a4),f3(a4,a4)),f6(a1),f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[2330,2239,2344,2117,2308,1056,2268,878,856,530,348,713,27,23,30,22,28])).
% 56.17/56.25  cnf(2360,plain,
% 56.17/56.25     (~P2(a1,a2,f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[2330,2239,2344,2117,2308,1231,1056,2268,1225,878,856,530,348,713,27,23,30,22,28,29])).
% 56.17/56.25  cnf(2362,plain,
% 56.17/56.25     (P4(f6(f3(a2,a2)),f3(a2,a2),f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[2330,2239,2344,2117,2308,1231,2193,1056,2268,922,1225,878,856,1072,530,348,713,27,23,30,22,28,29,25])).
% 56.17/56.25  cnf(2372,plain,
% 56.17/56.25     (~P2(f3(a4,a4),f7(a1,a1),f7(f8(a4),f8(a4)))),
% 56.17/56.25     inference(scs_inference,[],[2310,1489,552,27])).
% 56.17/56.25  cnf(2374,plain,
% 56.17/56.25     (P2(f6(a1),f7(f3(a4,a4),f3(a4,a4)),f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[2310,2358,1489,552,27,23])).
% 56.17/56.25  cnf(2376,plain,
% 56.17/56.25     (P2(f3(a4,a4),a1,f7(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[2310,2358,1489,679,1463,552,605,426,27,23,30])).
% 56.17/56.25  cnf(2378,plain,
% 56.17/56.25     (P4(f3(a2,a2),f6(f3(a2,a2)),f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[2310,2362,2358,1489,679,1463,552,605,426,27,23,30,22])).
% 56.17/56.25  cnf(2380,plain,
% 56.17/56.25     (P2(f3(a5,a5),a2,f3(f7(a5,a5),f7(a5,a5)))),
% 56.17/56.25     inference(scs_inference,[],[2310,2362,2008,2358,1251,1489,679,1652,1463,552,605,426,27,23,30,22,28])).
% 56.17/56.25  cnf(2382,plain,
% 56.17/56.25     (~P2(a1,f7(f8(a4),f8(a4)),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[2310,2362,2008,2358,2314,1479,1251,1489,679,1652,1463,552,605,263,426,27,23,30,22,28,29])).
% 56.17/56.25  cnf(2384,plain,
% 56.17/56.25     (~P4(f3(a1,a1),f6(f6(a1)),a4)),
% 56.17/56.25     inference(scs_inference,[],[2310,2362,2008,2358,2314,1479,1835,1251,1489,1257,679,2150,1652,1463,552,605,263,426,27,23,30,22,28,29,25])).
% 56.17/56.25  cnf(2386,plain,
% 56.17/56.25     (~P4(f3(a2,a2),f8(a4),f3(a2,a2))),
% 56.17/56.25     inference(scs_inference,[],[2310,2362,2008,2358,2314,1479,2016,1835,1251,1489,1257,679,2150,1652,1463,552,605,263,426,27,23,30,22,28,29,25,26])).
% 56.17/56.25  cnf(2392,plain,
% 56.17/56.25     (P2(f8(a4),f3(a2,a2),f3(a5,a5))),
% 56.17/56.25     inference(scs_inference,[],[2213,948,980,27])).
% 56.17/56.25  cnf(2394,plain,
% 56.17/56.25     (~P2(f7(a1,a1),f3(a4,a4),f7(f8(a4),f8(a4)))),
% 56.17/56.25     inference(scs_inference,[],[2372,2213,948,980,27,23])).
% 56.17/56.25  cnf(2400,plain,
% 56.17/56.25     (~P2(f7(a4,a4),f3(a1,a1),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[2372,2291,1902,2213,1654,948,868,285,1138,221,980,275,27,23,30,22,28])).
% 56.17/56.25  cnf(2406,plain,
% 56.17/56.25     (~P4(f3(f7(a1,a1),f7(a1,a1)),f3(a4,a4),a4)),
% 56.17/56.25     inference(scs_inference,[],[2372,1750,2244,2291,1902,2334,2376,2213,1710,1654,1028,948,868,1423,285,289,1138,221,713,980,275,27,23,30,22,28,29,25,26])).
% 56.17/56.25  cnf(2410,plain,
% 56.17/56.25     (P2(f3(a2,a2),f8(a4),f3(a5,a5))),
% 56.17/56.25     inference(scs_inference,[],[2392,754,223,2115,27,23])).
% 56.17/56.25  cnf(2412,plain,
% 56.17/56.25     (~P4(f7(a4,a4),f7(a4,a4),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[2392,754,1817,430,223,1626,2115,27,23,30])).
% 56.17/56.25  cnf(2414,plain,
% 56.17/56.25     (P4(f6(f6(a1)),f3(a1,a1),f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[2392,754,1817,2176,430,223,1626,2115,27,23,30,22])).
% 56.17/56.25  cnf(2420,plain,
% 56.17/56.25     (P4(f6(a4),f3(a1,a1),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[2394,2392,754,880,1817,2334,2246,2176,2376,430,223,1626,2115,2010,661,1819,980,27,23,30,22,28,29,25])).
% 56.17/56.25  cnf(2422,plain,
% 56.17/56.25     (~P4(f6(f3(a2,a2)),f3(a2,a2),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[2394,2121,2392,754,880,1817,2334,2246,2193,2176,2362,2376,430,223,1626,2115,2010,661,1819,980,27,23,30,22,28,29,25,26])).
% 56.17/56.25  cnf(2428,plain,
% 56.17/56.25     (~P2(a1,f3(a5,a5),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[2152,2410,1887,400,27,23])).
% 56.17/56.25  cnf(2432,plain,
% 56.17/56.25     (~P4(f8(a4),a2,a2)),
% 56.17/56.25     inference(scs_inference,[],[2152,1573,2410,2340,1887,1525,221,400,275,27,23,30,22])).
% 56.17/56.25  cnf(2434,plain,
% 56.17/56.25     (P2(f7(f7(a4,a4),f7(a4,a4)),f6(a2),f6(a2))),
% 56.17/56.25     inference(scs_inference,[],[2152,1573,2410,2340,1887,2012,1525,868,221,400,275,27,23,30,22,28])).
% 56.17/56.25  cnf(2440,plain,
% 56.17/56.25     (P4(f3(a1,a1),f3(a2,a2),f3(a2,a2))),
% 56.17/56.25     inference(scs_inference,[],[2285,2152,2378,1573,2342,2410,2340,2420,1887,2012,2109,896,642,922,1525,868,221,400,275,27,23,30,22,28,29,25,26])).
% 56.17/56.25  cnf(2448,plain,
% 56.17/56.25     (~P2(f3(a4,a4),a1,f8(f8(a4)))),
% 56.17/56.25     inference(scs_inference,[],[200,2308,275,27])).
% 56.17/56.25  cnf(2452,plain,
% 56.17/56.25     (~P4(f3(f7(a1,a1),f7(a1,a1)),f3(a1,a1),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[200,2324,1672,2308,1726,792,261,275,27,23,30])).
% 56.17/56.25  cnf(2454,plain,
% 56.17/56.25     (P4(f3(a2,a2),f3(a1,a1),f3(a2,a2))),
% 56.17/56.25     inference(scs_inference,[],[200,2440,2324,1672,2308,1726,792,261,275,27,23,30,22])).
% 56.17/56.25  cnf(2459,plain,
% 56.17/56.25     (~P2(a1,f7(a4,a4),f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[200,2440,2238,2324,2374,1672,2358,2308,428,1726,792,1815,261,713,275,27,23,30,22,28,29])).
% 56.17/56.25  cnf(2469,plain,
% 56.17/56.25     (P2(f8(a4),f3(a5,a5),f3(a2,a2))),
% 56.17/56.25     inference(scs_inference,[],[2392,1589,980,27])).
% 56.17/56.25  cnf(2475,plain,
% 56.17/56.25     (~P2(f6(a1),f3(f7(a4,a4),f7(a4,a4)),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[2154,2386,1332,2392,1589,1924,1417,980,27,23,22,28])).
% 56.17/56.25  cnf(2485,plain,
% 56.17/56.25     (P2(f8(f8(a4)),f6(a2),f6(a2))),
% 56.17/56.25     inference(scs_inference,[],[2308,1537,27])).
% 56.17/56.25  cnf(2487,plain,
% 56.17/56.25     (P2(f3(a5,a5),f8(a4),f3(a2,a2))),
% 56.17/56.25     inference(scs_inference,[],[2469,2308,1537,27,23])).
% 56.17/56.25  cnf(2489,plain,
% 56.17/56.25     (P4(f6(a4),f6(f6(a4)),a1)),
% 56.17/56.25     inference(scs_inference,[],[2469,826,2308,1537,27,23,22])).
% 56.17/56.25  cnf(2491,plain,
% 56.17/56.25     (~P2(f3(a5,a5),f6(a1),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[2469,2316,826,2308,1537,2115,828,27,23,22,28])).
% 56.17/56.25  cnf(2493,plain,
% 56.17/56.25     (~P2(f7(a1,a1),f3(a4,a4),f6(f6(a4)))),
% 56.17/56.25     inference(scs_inference,[],[2469,2316,1126,826,1328,2308,1692,1537,2115,721,828,27,23,22,28,29])).
% 56.17/56.25  cnf(2495,plain,
% 56.17/56.25     (P4(f3(a2,a2),f3(f3(a1,a1),f3(a1,a1)),f3(a2,a2))),
% 56.17/56.25     inference(scs_inference,[],[2454,2469,2316,1126,826,1328,2308,1692,1537,2115,611,721,828,27,23,22,28,29,25])).
% 56.17/56.25  cnf(2497,plain,
% 56.17/56.25     (~P4(f6(a1),f6(f6(a4)),f3(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[2454,1841,2469,2316,1126,826,1328,2308,1692,1537,2115,611,522,721,828,27,23,22,28,29,25,26])).
% 56.17/56.25  cnf(2505,plain,
% 56.17/56.25     (~P2(f6(a4),a4,f6(f6(a1)))),
% 56.17/56.25     inference(scs_inference,[],[2014,1656,2414,1887,247,2420,2308,346,27,23,30])).
% 56.17/56.25  cnf(2509,plain,
% 56.17/56.25     (P2(f6(a4),f8(f6(a4)),f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[2014,2422,1656,2414,1887,2281,247,2420,1996,1342,2308,346,27,23,30,22,28])).
% 56.17/56.25  cnf(2511,plain,
% 56.17/56.25     (~P2(f7(a1,a1),f7(f8(a4),f8(a4)),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[2014,2422,1656,2414,1887,2281,2334,247,2420,1664,1996,1342,2308,346,87,27,23,30,22,28,29])).
% 56.17/56.25  cnf(2513,plain,
% 56.17/56.25     (P4(f6(f6(a1)),f3(a2,a2),f3(a2,a2))),
% 56.17/56.25     inference(scs_inference,[],[2014,2422,1656,2414,1887,2281,2440,2334,247,2420,1664,1996,1342,2308,346,87,27,23,30,22,28,29,25])).
% 56.17/56.25  cnf(2519,plain,
% 56.17/56.25     (P2(f8(f6(a4)),f6(a4),f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[2062,2509,1120,299,27,23])).
% 56.17/56.25  cnf(2521,plain,
% 56.17/56.25     (P4(f3(f3(a1,a1),f3(a1,a1)),f3(a2,a2),f3(a2,a2))),
% 56.17/56.25     inference(scs_inference,[],[2495,2062,2509,1120,299,27,23,22])).
% 56.17/56.25  cnf(2523,plain,
% 56.17/56.25     (P2(f3(a5,a5),a5,f3(f7(a2,a2),f7(a2,a2)))),
% 56.17/56.25     inference(scs_inference,[],[2495,2062,2509,1922,1684,2242,1120,299,27,23,22,28])).
% 56.17/56.25  cnf(2525,plain,
% 56.17/56.25     (~P2(f6(f7(a1,a1)),f7(a5,a5),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[2495,2062,2509,1922,1684,2242,2285,2144,1120,1217,299,27,23,22,28,29])).
% 56.17/56.25  cnf(2537,plain,
% 56.17/56.25     (P2(f7(f7(a4,a4),f7(a4,a4)),f3(a2,a2),f3(a2,a2))),
% 56.17/56.25     inference(scs_inference,[],[2487,1561,27])).
% 56.17/56.25  cnf(2543,plain,
% 56.17/56.25     (~P4(f3(a1,a1),f3(f7(a1,a1),f7(a1,a1)),f8(a4))),
% 56.17/56.25     inference(scs_inference,[],[208,2064,2487,2452,1561,762,1467,1791,27,23,30,22])).
% 56.17/56.25  cnf(2545,plain,
% 56.17/56.25     (~P2(f6(a4),f7(f3(a1,a1),f3(a1,a1)),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[208,906,2064,2487,2452,2519,1561,2203,762,1467,1791,27,23,30,22,28])).
% 56.17/56.25  cnf(2553,plain,
% 56.17/56.25     (P2(f8(f8(a4)),f7(a4,a4),f7(a4,a4))),
% 56.17/56.25     inference(scs_inference,[],[2509,1415,27])).
% 56.17/56.25  cnf(2557,plain,
% 56.17/56.25     (~P4(f7(a1,a1),f7(a1,a1),f8(f8(a4)))),
% 56.17/56.25     inference(scs_inference,[],[2380,2448,2509,667,1415,2376,1463,27,23,30])).
% 56.17/56.25  cnf(2559,plain,
% 56.17/56.25     (P4(f3(a2,a2),f6(f6(a1)),f3(a2,a2))),
% 56.17/56.25     inference(scs_inference,[],[2513,2380,2448,2509,667,1415,2376,1463,27,23,30,22])).
% 56.17/56.25  cnf(2561,plain,
% 56.17/56.25     (~P2(f3(a4,a4),a1,f8(f6(a4)))),
% 56.17/56.25     inference(scs_inference,[],[2513,2125,2380,2448,2509,667,1415,2376,1457,1463,27,23,30,22,28])).
% 56.17/56.25  cnf(2563,plain,
% 56.17/56.25     (~P2(a1,f7(a4,a4),f6(a4))),
% 56.17/56.25     inference(scs_inference,[],[2513,2125,2380,2448,1852,2509,667,1415,2314,2376,1457,1463,263,27,23,30,22,28,29])).
% 56.17/56.25  cnf(2565,plain,
% 56.17/56.25     (P4(f3(f3(a1,a1),f3(a1,a1)),f3(a1,a1),f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[2521,2513,2125,2380,2448,1852,2509,2378,667,1415,2314,2376,1457,1463,263,27,23,30,22,28,29,25])).
% 56.17/56.25  cnf(2569,plain,
% 56.17/56.25     (P3(f3(f7(a1,a1),f7(a1,a1)),f7(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[2521,2513,1004,2125,2380,2448,1852,2509,2378,667,936,1415,2314,2376,1457,896,1102,1463,1042,263,322,27,23,30,22,28,29,25,26,24])).
% 56.17/56.25  cnf(2571,plain,
% 56.17/56.25     (P4(a1,f3(f7(a1,a1),f7(a1,a1)),f7(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[2521,2513,1004,2125,2380,2448,1852,2509,2378,667,936,1415,2314,2376,1457,896,1102,1463,1042,263,322,27,23,30,22,28,29,25,26,24,1060])).
% 56.17/56.25  cnf(2572,plain,
% 56.17/56.25     (P4(a1,f7(a1,a1),f3(f7(a1,a1),f7(a1,a1)))),
% 56.17/56.25     inference(scs_inference,[],[2521,2513,1004,2125,2380,2448,1852,2509,2378,667,936,1415,2314,2376,1457,896,1102,1463,1042,263,322,27,23,30,22,28,29,25,26,24,1060,19])).
% 56.17/56.25  cnf(2574,plain,
% 56.17/56.25     (~P2(a4,f6(a4),f6(f6(a1)))),
% 56.17/56.25     inference(scs_inference,[],[2505,2281,2203,27])).
% 56.17/56.25  cnf(2582,plain,
% 56.17/56.25     (~P2(f7(a1,a1),f3(a4,a4),f8(f8(a4)))),
% 56.17/56.25     inference(scs_inference,[],[2223,2557,2272,2505,673,2469,2281,1126,2203,1692,721,27,23,28,22,29])).
% 56.17/56.25  cnf(2584,plain,
% 56.17/56.25     (P4(a1,f3(a1,a1),f3(f3(a1,a1),f3(a1,a1)))),
% 56.17/56.25     inference(scs_inference,[],[2223,2557,2272,2505,673,2469,798,2281,1126,2203,1692,1423,611,721,27,23,28,22,29,26])).
% 56.17/56.25  cnf(2586,plain,
% 56.17/56.25     (~P4(f7(a1,a1),f3(a1,a1),a4)),
% 56.17/56.25     inference(scs_inference,[],[2571,2223,2557,2272,2505,673,2469,798,2281,1126,2203,802,1692,1423,611,800,721,27,23,28,22,29,26,25])).
% 56.17/56.25  cnf(2588,plain,
% 56.17/56.25     (P3(f3(f7(a1,a1),f7(a1,a1)),f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[2572,2571,2223,2557,2272,2505,673,2469,798,2281,1126,2203,802,1692,1423,846,1362,611,800,721,27,23,28,22,29,26,25,24])).
% 56.17/56.25  cnf(2595,plain,
% 56.17/56.25     (P4(a1,f3(f7(a1,a1),f7(a1,a1)),f3(a1,a1))),
% 56.17/56.25     inference(scs_inference,[],[2588,1686])).
% 56.17/56.25  cnf(2596,plain,
% 56.17/56.25     (P4(a1,f3(a1,a1),f3(f7(a1,a1),f7(a1,a1)))),
% 56.17/56.25     inference(scs_inference,[],[2588,1732])).
% 56.17/56.26  cnf(2597,plain,
% 56.17/56.26     (P3(f7(a1,a1),f3(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[2588,1042,12])).
% 56.17/56.26  cnf(2600,plain,
% 56.17/56.26     (P2(x26001,x26002,x26003)+~P2(x26004,x26005,x26003)+~P2(x26001,x26006,x26004)+~P2(x26006,x26005,x26002)),
% 56.17/56.26     inference(rename_variables,[],[27])).
% 56.17/56.26  cnf(2601,plain,
% 56.17/56.26     (P2(f7(a4,a4),f8(f8(a4)),f7(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[2588,2270,2553,1042,828,980,12,27,23])).
% 56.17/56.26  cnf(2605,plain,
% 56.17/56.26     (P4(f3(a1,a1),f3(f3(a1,a1),f3(a1,a1)),f3(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[2565,2588,2270,2553,1610,2158,1360,856,1042,828,980,12,27,23,30,22])).
% 56.17/56.26  cnf(2611,plain,
% 56.17/56.26     (~P4(f3(a1,a1),f7(a1,a1),f8(a4))),
% 56.17/56.26     inference(scs_inference,[],[2565,2588,2270,2553,2412,2543,2574,1610,2572,2519,2158,870,2281,281,1360,856,1042,85,828,980,12,27,23,30,22,28,29,25])).
% 56.17/56.26  cnf(2613,plain,
% 56.17/56.26     (~P4(f6(a5),f6(a4),f6(a5))),
% 56.17/56.26     inference(scs_inference,[],[2565,2588,2270,2553,2412,2543,2574,1610,2572,2519,1108,2158,870,2281,281,2199,1360,856,1042,85,828,980,12,27,23,30,22,28,29,25,26])).
% 56.17/56.26  cnf(2615,plain,
% 56.17/56.26     (P4(a1,f3(a1,a1),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[2565,2588,2270,2553,2412,2543,2574,1610,2572,2519,1108,2158,870,2281,281,2199,1360,856,1042,85,828,980,12,27,23,30,22,28,29,25,26,1864])).
% 56.17/56.26  cnf(2618,plain,
% 56.17/56.26     (P4(a1,f7(a1,a1),f3(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[200,2565,2588,2270,2553,2412,2543,2574,1610,2572,2519,1108,2158,870,2281,281,2199,1360,856,1042,85,828,980,12,27,23,30,22,28,29,25,26,1864,2600,1893])).
% 56.17/56.26  cnf(2621,plain,
% 56.17/56.26     (P2(f3(a2,a2),f3(a4,a4),f3(f3(a5,a5),f3(a5,a5)))),
% 56.17/56.26     inference(scs_inference,[],[1249,2410,762,27])).
% 56.17/56.26  cnf(2623,plain,
% 56.17/56.26     (~P2(f3(a1,a1),f7(a4,a4),f8(a4))),
% 56.17/56.26     inference(scs_inference,[],[1249,2400,2410,762,27,23])).
% 56.17/56.26  cnf(2633,plain,
% 56.17/56.26     (~P4(f7(a1,a1),f7(a4,a4),f3(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[202,2596,1249,2618,2400,2611,1906,2410,2553,2293,1946,2285,762,1696,1138,1704,27,23,22,28,29,25,26])).
% 56.17/56.26  cnf(2635,plain,
% 56.17/56.26     (P3(f7(a1,a1),f7(f7(a1,a1),f7(a1,a1)))),
% 56.17/56.26     inference(scs_inference,[],[202,2596,2597,1249,2618,2400,2611,1906,2410,2553,2293,1946,2285,762,1742,1696,1138,1704,27,23,22,28,29,25,26,12])).
% 56.17/56.26  cnf(2641,plain,
% 56.17/56.26     (~P2(f7(a1,a1),a4,f7(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[221,2215,1811,27])).
% 56.17/56.26  cnf(2645,plain,
% 56.17/56.26     (P2(f3(a4,a4),f8(f8(a4)),f3(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[221,2215,2621,2601,1811,1626,27,23,30])).
% 56.17/56.26  cnf(2647,plain,
% 56.17/56.26     (P4(f3(a1,a1),a1,f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[221,2215,2615,2621,2601,1811,1626,27,23,30,22])).
% 56.17/56.26  cnf(2649,plain,
% 56.17/56.26     (~P2(f6(a4),f3(f7(a1,a1),f7(a1,a1)),f6(a4))),
% 56.17/56.26     inference(scs_inference,[],[221,2215,2615,2621,1291,2601,2519,1811,1626,2203,27,23,30,22,28])).
% 56.17/56.26  cnf(2653,plain,
% 56.17/56.26     (P4(a1,f3(f3(a1,a1),f3(a1,a1)),f3(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[221,2215,2615,2621,1291,2584,1959,2601,2565,2519,1811,1626,2203,1726,611,828,27,23,30,22,28,29,25])).
% 56.17/56.26  cnf(2655,plain,
% 56.17/56.26     (~P4(f7(a4,a4),f3(a1,a1),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[221,2215,2615,2621,2356,1291,2584,1959,2601,2565,2519,1811,1971,918,1626,2203,1726,611,828,27,23,30,22,28,29,25,26])).
% 56.17/56.26  cnf(2657,plain,
% 56.17/56.26     (~P2(f3(a1,a1),f3(a4,a4),f8(f6(a4)))),
% 56.17/56.26     inference(scs_inference,[],[1094,2203,1815,27])).
% 56.17/56.26  cnf(2660,plain,
% 56.17/56.26     (~P4(f7(f3(a1,a1),f3(a1,a1)),f7(a1,a1),f8(a4))),
% 56.17/56.26     inference(scs_inference,[],[2605,1519,1094,1752,609,2203,1815,27,30])).
% 56.17/56.26  cnf(2662,plain,
% 56.17/56.26     (~P2(f7(a4,a4),a1,f6(a4))),
% 56.17/56.26     inference(scs_inference,[],[2605,2563,1519,1094,1752,609,2203,1815,27,30,23])).
% 56.17/56.26  cnf(2664,plain,
% 56.17/56.26     (~P4(f7(a4,a4),f7(a1,a1),f3(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[2605,2633,2563,1519,1094,1752,609,2203,1815,27,30,23,22])).
% 56.17/56.26  cnf(2666,plain,
% 56.17/56.26     (P2(f7(a2,a2),f8(f8(a4)),f7(a2,a2))),
% 56.17/56.26     inference(scs_inference,[],[2605,2633,2563,1969,1519,2601,1094,1752,609,2203,1815,27,30,23,22,28])).
% 56.17/56.26  cnf(2672,plain,
% 56.17/56.26     (P4(f3(f7(a1,a1),f7(a1,a1)),a1,f3(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[223,2605,2633,2595,2563,2647,2559,1969,2596,2618,1519,2601,1994,1860,1094,1028,1752,609,2203,1815,27,30,23,22,28,29,25,26])).
% 56.17/56.26  cnf(2680,plain,
% 56.17/56.26     (P4(f3(f3(a1,a1),f3(a1,a1)),a1,f3(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[208,2666,2653,838,2308,27,23,22])).
% 56.17/56.26  cnf(2682,plain,
% 56.17/56.26     (~P2(f7(f8(a4),f8(a4)),f7(a1,a1),f7(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[208,221,2666,2641,2653,1766,838,2308,27,23,22,28])).
% 56.17/56.26  cnf(2684,plain,
% 56.17/56.26     (~P2(f3(a1,a1),f3(a1,a1),f8(f8(a4)))),
% 56.17/56.26     inference(scs_inference,[],[208,221,2666,2641,2653,2605,2557,1766,838,2308,406,1752,27,23,22,28,29])).
% 56.17/56.26  cnf(2686,plain,
% 56.17/56.26     (~P4(f7(a4,a4),f3(f7(a1,a1),f7(a1,a1)),f3(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[208,221,2655,2666,2641,2653,2672,2605,2557,2647,1766,838,2308,406,1752,27,23,22,28,29,25])).
% 56.17/56.26  cnf(2688,plain,
% 56.17/56.26     (P4(f7(a1,a1),f3(f3(a1,a1),f3(a1,a1)),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[208,221,2655,2666,2641,2653,2672,2605,2615,2557,2647,1766,838,2308,406,1752,27,23,22,28,29,25,26])).
% 56.17/56.26  cnf(2694,plain,
% 56.17/56.26     (~P2(f7(a1,a1),f7(f8(a4),f8(a4)),f7(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[223,2682,2487,828,27,23])).
% 56.17/56.26  cnf(2696,plain,
% 56.17/56.26     (P2(f3(a4,a4),f8(a4),f3(f8(a4),f8(a4)))),
% 56.17/56.26     inference(scs_inference,[],[223,2682,2487,982,828,174,27,23,30])).
% 56.17/56.26  cnf(2698,plain,
% 56.17/56.26     (~P4(f3(f7(a1,a1),f7(a1,a1)),f7(a4,a4),f3(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[223,2682,2686,2487,982,828,174,27,23,30,22])).
% 56.17/56.26  cnf(2704,plain,
% 56.17/56.26     (P4(f3(a1,a1),a1,f3(f3(a1,a1),f3(a1,a1)))),
% 56.17/56.26     inference(scs_inference,[],[223,221,2682,2686,2623,2680,2312,2487,2584,2653,2557,982,964,87,828,174,27,23,30,22,28,29,26])).
% 56.17/56.26  cnf(2712,plain,
% 56.17/56.26     (P2(f8(a4),f3(a4,a4),f3(f8(a4),f8(a4)))),
% 56.17/56.26     inference(scs_inference,[],[2696,2523,1000,1652,27,23])).
% 56.17/56.26  cnf(2714,plain,
% 56.17/56.26     (P4(f3(f3(a1,a1),f3(a1,a1)),f7(a1,a1),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[2688,2696,2523,1000,1652,27,23,22])).
% 56.17/56.26  cnf(2716,plain,
% 56.17/56.26     (~P4(f8(f8(a4)),f7(a1,a1),f3(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[2664,2688,2696,2523,2553,1000,1652,552,677,27,23,22,29])).
% 56.17/56.26  cnf(2718,plain,
% 56.17/56.26     (~P2(f8(f8(a4)),f7(a4,a4),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[2664,2688,2694,2696,2523,2553,1000,1501,1652,552,677,27,23,22,29,28])).
% 56.17/56.26  cnf(2724,plain,
% 56.17/56.26     (P3(f3(a1,a1),f3(f3(a1,a1),f3(a1,a1)))),
% 56.17/56.26     inference(scs_inference,[],[2664,2688,2694,2384,2696,2523,2704,1628,2672,2559,2588,1336,2553,1000,1501,2362,2000,1652,552,677,27,23,22,29,28,26,25,24])).
% 56.17/56.26  cnf(2732,plain,
% 56.17/56.26     (~P2(f7(a4,a4),f8(f8(a4)),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[2718,2601,2553,27])).
% 56.17/56.26  cnf(2736,plain,
% 56.17/56.26     (~P2(a4,f8(f6(a4)),f6(a1))),
% 56.17/56.26     inference(scs_inference,[],[227,2545,2718,2601,1837,2553,2281,1815,27,23,30])).
% 56.17/56.26  cnf(2739,plain,
% 56.17/56.26     (~P4(f7(a1,a1),f8(f8(a4)),f3(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[227,2545,2716,2718,2601,1837,2553,2281,1815,27,23,30,22])).
% 56.17/56.26  cnf(2743,plain,
% 56.17/56.26     (P2(f7(a1,a1),f8(f8(a4)),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[223,227,2645,2545,2716,2718,2056,2521,1977,2601,1837,2553,2281,1815,27,23,30,22,29,28])).
% 56.17/56.26  cnf(2745,plain,
% 56.17/56.26     (P4(f6(a4),f6(a1),f6(a4))),
% 56.17/56.26     inference(scs_inference,[],[223,227,2645,2545,2716,2718,2056,2521,1977,2060,2601,1837,2553,2281,1815,27,23,30,22,29,28,26])).
% 56.17/56.26  cnf(2749,plain,
% 56.17/56.26     (P3(f3(f3(a1,a1),f3(a1,a1)),f3(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[223,227,2714,2724,2645,2545,2716,2718,2032,2056,2521,2688,1977,2680,2704,2060,2601,1837,2553,2281,1815,27,23,30,22,29,28,26,25,24])).
% 56.17/56.26  cnf(2751,plain,
% 56.17/56.26     (~P2(f7(a1,a1),f3(a1,a1),f8(f8(a4)))),
% 56.17/56.26     inference(scs_inference,[],[1876,2308,346,27])).
% 56.17/56.26  cnf(2761,plain,
% 56.17/56.26     (~P2(f3(a4,a4),f3(a1,a1),f8(f6(a4)))),
% 56.17/56.26     inference(scs_inference,[],[212,227,1876,2657,2434,2745,2330,2127,1271,2595,2312,2308,346,713,275,27,23,30,22,29,28])).
% 56.17/56.26  cnf(2779,plain,
% 56.17/56.26     (P2(f3(a4,a4),a4,f3(f8(a4),f8(a4)))),
% 56.17/56.26     inference(scs_inference,[],[2645,2696,400,27])).
% 56.17/56.26  cnf(2781,plain,
% 56.17/56.26     (~P2(f6(a4),f7(a4,a4),f6(a1))),
% 56.17/56.26     inference(scs_inference,[],[2074,2645,2696,400,27,23])).
% 56.17/56.26  cnf(2789,plain,
% 56.17/56.26     (~P4(f7(a5,a5),f6(f7(a5,a5)),f8(a4))),
% 56.17/56.26     inference(scs_inference,[],[2074,2660,2645,2696,1527,2103,1879,1186,1275,2080,2314,603,400,27,23,22,29,28,26])).
% 56.17/56.26  cnf(2801,plain,
% 56.17/56.26     (P3(f3(f3(a1,a1),f3(a1,a1)),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[2749,1805,12])).
% 56.17/56.26  cnf(2806,plain,
% 56.17/56.26     (P2(a4,f3(a4,a4),f3(f8(a4),f8(a4)))),
% 56.17/56.26     inference(scs_inference,[],[2779,2749,375,530,1805,1815,12,27,23])).
% 56.17/56.26  cnf(2808,plain,
% 56.17/56.26     (~P4(a1,f7(a1,a1),f7(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[221,2779,2749,1967,2572,375,530,1805,1815,275,12,27,23,30])).
% 56.17/56.26  cnf(2810,plain,
% 56.17/56.26     (P4(f3(f7(a1,a1),f7(a1,a1)),a1,f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[221,2779,2749,1967,2571,2572,375,530,1805,1815,275,12,27,23,30,22])).
% 56.17/56.26  cnf(2818,plain,
% 56.17/56.26     (P4(f3(f3(a1,a1),f3(a1,a1)),f3(a5,a5),f3(a5,a5))),
% 56.17/56.26     inference(scs_inference,[],[221,2789,2779,2749,1750,1967,2571,2565,2572,772,593,1505,2119,2376,375,530,1805,1815,275,12,27,23,30,22,29,28,26,25])).
% 56.17/56.26  cnf(2826,plain,
% 56.17/56.26     (~P2(f3(f7(a1,a1),f7(a1,a1)),f6(a4),f6(a4))),
% 56.17/56.26     inference(scs_inference,[],[2649,2525,638,828,27,23])).
% 56.17/56.26  cnf(2830,plain,
% 56.17/56.26     (~P2(f3(a1,a1),a4,f8(f8(a4)))),
% 56.17/56.26     inference(scs_inference,[],[221,2649,2739,2018,2525,638,818,346,828,27,23,22,29])).
% 56.17/56.26  cnf(2832,plain,
% 56.17/56.26     (P2(f3(a5,a5),a4,f3(a2,a2))),
% 56.17/56.26     inference(scs_inference,[],[223,221,2649,2739,2018,2525,2469,2392,638,818,346,828,27,23,22,29,28])).
% 56.17/56.26  cnf(2834,plain,
% 56.17/56.26     (P4(f7(a1,a1),f3(a4,a4),f3(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[231,223,221,2649,2739,2018,2525,2810,2469,2392,638,818,1028,346,828,27,23,22,29,28,26])).
% 56.17/56.26  cnf(2836,plain,
% 56.17/56.26     (~P4(f7(a1,a1),f3(a4,a4),a4)),
% 56.17/56.26     inference(scs_inference,[],[231,223,221,2649,2739,2018,2525,2810,2406,2469,2392,638,818,1028,346,828,27,23,22,29,28,26,25])).
% 56.17/56.26  cnf(2846,plain,
% 56.17/56.26     (P3(f7(a1,a1),a1)),
% 56.17/56.26     inference(scs_inference,[],[2569,2810,1525,24])).
% 56.17/56.26  cnf(2848,plain,
% 56.17/56.26     (P4(a1,a1,f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[2569,2810,1525,57,24,19])).
% 56.17/56.26  cnf(2854,plain,
% 56.17/56.26     (P2(f3(f7(a4,a4),f7(a4,a4)),a5,f3(a5,a5))),
% 56.17/56.26     inference(scs_inference,[],[2781,2485,2569,2810,870,1879,1525,2281,190,57,500,24,19,27,23,30])).
% 56.17/56.26  cnf(2856,plain,
% 56.17/56.26     (P4(f3(a5,a5),f3(f3(a1,a1),f3(a1,a1)),f3(a5,a5))),
% 56.17/56.26     inference(scs_inference,[],[2818,2781,2485,2569,2810,870,1879,1525,2281,190,57,500,24,19,27,23,30,22])).
% 56.17/56.26  cnf(2862,plain,
% 56.17/56.26     (~P4(f7(a4,a4),f6(a4),f7(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[227,2332,2818,2781,2485,2569,932,2410,2810,534,397,870,1879,2199,1525,2281,190,57,500,24,19,27,23,30,22,29,28,26])).
% 56.17/56.26  cnf(2866,plain,
% 56.17/56.26     (P3(f3(f3(a1,a1),f3(a1,a1)),a1)),
% 56.17/56.26     inference(scs_inference,[],[2704,1525,1805,24])).
% 56.17/56.26  cnf(2872,plain,
% 56.17/56.26     (~P4(f7(f7(a1,a1),f7(a1,a1)),f7(a1,a1),f7(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[223,2834,2511,2832,2310,320,2704,691,1525,1805,139,24,27,23,30])).
% 56.17/56.26  cnf(2874,plain,
% 56.17/56.26     (~P4(f6(a1),a4,a1)),
% 56.17/56.26     inference(scs_inference,[],[233,223,2834,2511,2832,2310,320,2704,691,1525,1805,139,24,27,23,30,22])).
% 56.17/56.26  cnf(2892,plain,
% 56.17/56.26     (P2(f7(f8(a4),f8(a4)),f3(a5,a5),f3(a2,a2))),
% 56.17/56.26     inference(scs_inference,[],[223,2832,2213,27])).
% 56.17/56.26  cnf(2894,plain,
% 56.17/56.26     (P2(a5,f3(f7(a4,a4),f7(a4,a4)),f3(a5,a5))),
% 56.17/56.26     inference(scs_inference,[],[223,2854,2832,2213,27,23])).
% 56.17/56.26  cnf(2896,plain,
% 56.17/56.26     (P4(f3(a4,a4),f7(a1,a1),f3(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[223,2854,2832,2834,2213,27,23,22])).
% 56.17/56.26  cnf(2900,plain,
% 56.17/56.26     (~P2(f6(a1),f3(a4,a4),f6(a4))),
% 56.17/56.26     inference(scs_inference,[],[221,223,2854,2808,1774,2832,2834,2213,2572,1417,838,275,27,23,22,29,28])).
% 56.17/56.26  cnf(2904,plain,
% 56.17/56.26     (P4(f3(a5,a5),f7(a1,a1),f3(a5,a5))),
% 56.17/56.26     inference(scs_inference,[],[221,223,2201,2854,2808,2818,1774,2832,2834,2213,2848,1293,362,2572,1417,838,275,27,23,22,29,28,26,25])).
% 56.17/56.26  cnf(2906,plain,
% 56.17/56.26     (~P3(a1,f3(f3(a1,a1),f3(a1,a1)))+P4(a1,a1,f3(f3(a1,a1),f3(a1,a1)))),
% 56.17/56.26     inference(scs_inference,[],[221,223,2201,2854,2866,2808,2818,1774,2832,2834,2213,2848,1293,362,2572,1417,838,275,27,23,22,29,28,26,25,19])).
% 56.17/56.26  cnf(2916,plain,
% 56.17/56.26     (~P2(f7(a4,a4),f6(a4),a1)),
% 56.17/56.26     inference(scs_inference,[],[1768,681,299,27])).
% 56.17/56.26  cnf(2918,plain,
% 56.17/56.26     (~P2(f3(a1,a1),f7(a1,a1),f8(f8(a4)))),
% 56.17/56.26     inference(scs_inference,[],[2751,1768,681,299,27,23])).
% 56.17/56.26  cnf(2924,plain,
% 56.17/56.26     (P2(f3(f8(a4),f8(a4)),f8(a4),f3(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[2872,2751,1768,2696,1583,482,681,516,870,299,980,27,23,22,29,28])).
% 56.17/56.26  cnf(2928,plain,
% 56.17/56.26     (~P4(f3(a4,a4),f7(a1,a1),a4)),
% 56.17/56.26     inference(scs_inference,[],[231,2872,2896,2751,1768,2596,2696,2672,2595,1583,482,681,1860,516,870,299,980,27,23,22,29,28,26,25])).
% 56.17/56.26  cnf(2930,plain,
% 56.17/56.26     (~P3(f7(a1,a1),f3(f3(a1,a1),f3(a1,a1)))+P4(a1,f3(f3(a1,a1),f3(a1,a1)),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[231,2872,2896,2751,1768,2801,2596,2696,2672,2595,1583,482,681,1860,516,870,299,980,27,23,22,29,28,26,25,19])).
% 56.17/56.26  cnf(2934,plain,
% 56.17/56.26     (~P2(a4,f6(a1),f7(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[2195,500,139,27])).
% 56.17/56.26  cnf(2936,plain,
% 56.17/56.26     (P2(f3(a5,a5),f7(f8(a4),f8(a4)),f3(a2,a2))),
% 56.17/56.26     inference(scs_inference,[],[2892,2195,500,139,27,23])).
% 56.17/56.26  cnf(2938,plain,
% 56.17/56.26     (P4(f7(a1,a1),f3(a5,a5),f3(a5,a5))),
% 56.17/56.26     inference(scs_inference,[],[2892,2195,2904,500,139,27,23,22])).
% 56.17/56.26  cnf(2940,plain,
% 56.17/56.26     (~P2(f6(a4),f7(a4,a4),a1)),
% 56.17/56.26     inference(scs_inference,[],[2892,2195,2916,2904,2519,2509,500,139,27,23,22,28])).
% 56.17/56.26  cnf(2944,plain,
% 56.17/56.26     (~P4(f7(a1,a1),f8(a4),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[227,2892,2195,2613,2916,2904,2896,1374,2519,1110,2509,500,139,27,23,22,28,29,26])).
% 56.17/56.26  cnf(2952,plain,
% 56.17/56.26     (P2(f8(a4),f3(f8(a4),f8(a4)),f3(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[2712,2924,2696,27])).
% 56.17/56.26  cnf(2956,plain,
% 56.17/56.26     (~P4(f6(f6(a4)),f6(a1),f3(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[2582,2497,2712,2924,2696,27,23,22])).
% 56.17/56.26  cnf(2962,plain,
% 56.17/56.26     (~P4(f3(a1,a1),f7(a4,a4),f3(f3(a1,a1),f3(a1,a1)))),
% 56.17/56.26     inference(scs_inference,[],[2698,1854,2582,2497,2712,2924,2586,2653,2596,2696,1489,1138,2308,346,221,27,23,22,28,29,26])).
% 56.17/56.26  cnf(2966,plain,
% 56.17/56.26     (~P3(f7(a1,a1),f3(f3(a1,a1),f3(a1,a1)))+P4(a1,f7(a1,a1),f3(f3(a1,a1),f3(a1,a1)))),
% 56.17/56.26     inference(scs_inference,[],[2698,1914,1854,2582,2497,2712,2924,2586,2745,2801,2653,2596,2696,1489,2002,1138,2308,346,221,27,23,22,28,29,26,25,19])).
% 56.17/56.26  cnf(2976,plain,
% 56.17/56.26     (P2(f6(a5),f7(f8(a4),f8(a4)),f6(a5))),
% 56.17/56.26     inference(scs_inference,[],[2918,1237,1789,1463,27,23])).
% 56.17/56.26  cnf(2982,plain,
% 56.17/56.26     (P4(f7(a1,a1),f3(a2,a2),f3(a2,a2))),
% 56.17/56.26     inference(scs_inference,[],[249,2936,2918,1174,2938,1237,2254,1789,842,1664,1463,303,27,23,30,22,29])).
% 56.17/56.26  cnf(2988,plain,
% 56.17/56.26     (P4(a4,f7(a1,a1),a4)),
% 56.17/56.26     inference(scs_inference,[],[249,2936,2944,2918,1174,2459,2938,1237,2254,1789,2647,842,2848,1664,2601,1447,1463,303,27,23,30,22,29,28,26,25])).
% 56.17/56.26  cnf(2990,plain,
% 56.17/56.26     (~P4(a4,f7(a1,a1),a1)),
% 56.17/56.26     inference(scs_inference,[],[249,2936,2944,2918,1174,2459,2938,1237,2254,1789,2647,842,2848,1664,2601,1447,1463,303,27,23,30,22,29,28,26,25,147])).
% 56.17/56.26  cnf(2994,plain,
% 56.17/56.26     (~P3(a1,f3(f3(a1,a1),f3(a1,a1)))+P4(a1,f3(f3(a1,a1),f3(a1,a1)),a1)),
% 56.17/56.26     inference(scs_inference,[],[249,2936,2944,2918,1174,2459,2938,1237,2254,1789,2866,2635,2647,842,2848,1664,2601,1447,1463,303,27,23,30,22,29,28,26,25,147,24,19])).
% 56.17/56.26  cnf(3000,plain,
% 56.17/56.26     (~P2(f6(a1),f3(a5,a5),f8(a4))),
% 56.17/56.26     inference(scs_inference,[],[2491,2493,2924,1833,27,23])).
% 56.17/56.26  cnf(3002,plain,
% 56.17/56.26     (~P4(f7(a4,a4),f3(a1,a1),f3(f3(a1,a1),f3(a1,a1)))),
% 56.17/56.26     inference(scs_inference,[],[2962,2491,2493,2924,1833,27,23,22])).
% 56.17/56.26  cnf(3004,plain,
% 56.17/56.26     (~P2(f3(a4,a4),f8(f8(a4)),a4)),
% 56.17/56.26     inference(scs_inference,[],[2962,2491,2493,2928,2743,2924,2645,2896,1833,27,23,22,29])).
% 56.17/56.26  cnf(3006,plain,
% 56.17/56.26     (P2(f3(f8(a4),f8(a4)),a4,f3(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[2962,2491,2493,2952,2928,2743,2924,2779,2712,2645,2896,1833,27,23,22,29,28])).
% 56.17/56.26  cnf(3018,plain,
% 56.17/56.26     (P2(a4,f3(f8(a4),f8(a4)),f3(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[2736,3006,2724,2597,500,139,12,27,23])).
% 56.17/56.26  cnf(3022,plain,
% 56.17/56.26     (P4(f3(a2,a2),f7(a1,a1),f3(a2,a2))),
% 56.17/56.26     inference(scs_inference,[],[231,2982,2736,3006,1776,2724,2597,500,139,275,12,27,23,30,22])).
% 56.17/56.26  cnf(3026,plain,
% 56.17/56.26     (~P2(f8(a4),f3(a4,a4),a4)),
% 56.17/56.26     inference(scs_inference,[],[231,2982,2736,3006,2952,880,1776,1724,2724,1209,2597,2376,500,139,275,12,27,23,30,22,29,28])).
% 56.17/56.26  cnf(3028,plain,
% 56.17/56.26     (~P4(f7(a5,a5),f6(a4),f7(a5,a5))),
% 56.17/56.26     inference(scs_inference,[],[231,2982,2736,3006,2952,880,1776,1724,2724,1209,2597,1186,2376,2199,500,139,275,12,27,23,30,22,29,28,26])).
% 56.17/56.26  cnf(3032,plain,
% 56.17/56.26     (P4(a1,f7(a1,a1),f3(f3(a1,a1),f3(a1,a1)))),
% 56.17/56.26     inference(scs_inference,[],[227,231,2982,2736,2874,3006,2952,880,1776,1724,2724,498,1209,2597,1186,2376,2199,500,139,275,12,27,23,30,22,29,28,26,25,2966])).
% 56.17/56.26  cnf(3033,plain,
% 56.17/56.26     (P4(a1,f3(f3(a1,a1),f3(a1,a1)),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[227,231,2982,2736,2874,3006,2952,880,1776,1724,2724,498,1209,2597,1186,2376,2199,500,139,275,12,27,23,30,22,29,28,26,25,2966,2930])).
% 56.17/56.26  cnf(3036,plain,
% 56.17/56.26     (P3(a1,f3(f3(a1,a1),f3(a1,a1)))),
% 56.17/56.26     inference(scs_inference,[],[227,231,2982,2736,2874,3006,2952,880,1776,1724,2724,498,1209,2597,1186,2376,2199,500,139,275,12,27,23,30,22,29,28,26,25,2966,2930,19,89])).
% 56.17/56.26  cnf(3042,plain,
% 56.17/56.26     (P4(a1,a1,f3(f3(a1,a1),f3(a1,a1)))),
% 56.17/56.26     inference(scs_inference,[],[3036,2906])).
% 56.17/56.26  cnf(3043,plain,
% 56.17/56.26     (P4(a1,f3(f3(a1,a1),f3(a1,a1)),a1)),
% 56.17/56.26     inference(scs_inference,[],[3036,2994])).
% 56.17/56.26  cnf(3044,plain,
% 56.17/56.26     (P2(f7(a4,a4),f3(a2,a2),f3(a5,a5))),
% 56.17/56.26     inference(scs_inference,[],[2892,1022,1501,27])).
% 56.17/56.26  cnf(3048,plain,
% 56.17/56.26     (~P4(f6(a4),f7(a4,a4),f7(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[2862,2382,2892,1022,1501,27,23,22])).
% 56.17/56.26  cnf(3056,plain,
% 56.17/56.26     (~P4(f6(f7(a4,a4)),f7(a1,a1),f3(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[253,3002,2862,2382,2662,3032,3028,2956,2892,974,1247,1022,414,1501,1996,1342,490,27,23,22,29,28,26,25])).
% 56.17/56.26  cnf(3064,plain,
% 56.17/56.26     (P2(f3(a2,a2),f7(a4,a4),f3(a5,a5))),
% 56.17/56.26     inference(scs_inference,[],[3044,3026,2924,2952,27,23])).
% 56.17/56.26  cnf(3068,plain,
% 56.17/56.26     (P4(f3(f3(a1,a1),f3(a1,a1)),a1,a1)),
% 56.17/56.26     inference(scs_inference,[],[253,3044,3043,2338,3026,2924,2952,1583,1791,27,23,30,22])).
% 56.17/56.26  cnf(3074,plain,
% 56.17/56.26     (~P4(f6(a4),f3(a4,a4),a1)),
% 56.17/56.26     inference(scs_inference,[],[233,253,3044,3043,2338,2934,3026,2028,2944,2924,2952,1583,2519,1791,2203,1704,27,23,30,22,29,28,26])).
% 56.17/56.26  cnf(3076,plain,
% 56.17/56.26     (P4(f3(a2,a2),f3(f7(a1,a1),f7(a1,a1)),f3(a2,a2))),
% 56.17/56.26     inference(scs_inference,[],[233,253,3022,3044,3043,2338,2934,3026,2028,2944,2924,2952,1583,2519,1791,2203,1704,322,27,23,30,22,29,28,26,25])).
% 56.17/56.26  cnf(3084,plain,
% 56.17/56.26     (~P2(a1,f3(a4,a4),f6(a4))),
% 56.17/56.26     inference(scs_inference,[],[1720,3000,2900,2246,279,1417,522,27,23,30])).
% 56.17/56.26  cnf(3086,plain,
% 56.17/56.26     (~P4(f7(a1,a1),f6(f7(a4,a4)),f3(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[1720,3056,3000,2900,2246,279,1417,522,27,23,30,22])).
% 56.17/56.26  cnf(3090,plain,
% 56.17/56.26     (P2(f3(a2,a2),a2,f3(f7(a5,a5),f7(a5,a5)))),
% 56.17/56.26     inference(scs_inference,[],[1720,2894,3056,3000,2900,2936,2380,1977,2246,279,1682,1417,522,263,27,23,30,22,29,28])).
% 56.17/56.26  cnf(3092,plain,
% 56.17/56.26     (P4(f3(f3(a1,a1),f3(a1,a1)),a1,f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[3042,3033,1720,2894,3056,3000,2900,2936,2380,1977,2246,279,1682,1417,522,263,27,23,30,22,29,28,26])).
% 56.17/56.26  cnf(3102,plain,
% 56.17/56.26     (P4(f3(f7(a1,a1),f7(a1,a1)),f3(a2,a2),f3(a2,a2))),
% 56.17/56.26     inference(scs_inference,[],[3076,693,3090,828,139,27,23,22])).
% 56.17/56.26  cnf(3108,plain,
% 56.17/56.26     (~P4(f3(a1,a1),f7(a4,a4),f3(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[3076,693,3018,3090,2263,2238,1251,1971,988,2000,924,603,828,139,27,23,22,29,28,26])).
% 56.17/56.26  cnf(3122,plain,
% 56.17/56.26     (P2(f7(a4,a4),f3(a5,a5),f3(a2,a2))),
% 56.17/56.26     inference(scs_inference,[],[2537,3044,868,27])).
% 56.17/56.26  cnf(3126,plain,
% 56.17/56.26     (P2(f3(a4,a4),f3(a1,a1),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[2537,2475,3044,646,2688,868,406,968,27,23,30])).
% 56.17/56.26  cnf(3128,plain,
% 56.17/56.26     (~P4(f7(a4,a4),f3(a1,a1),f3(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[2537,3108,2475,3044,646,2688,868,406,968,27,23,30,22])).
% 56.17/56.26  cnf(3130,plain,
% 56.17/56.26     (~P2(f3(a4,a4),f7(a4,a4),f8(a4))),
% 56.17/56.26     inference(scs_inference,[],[2537,3108,2475,3044,2412,646,2688,430,868,406,1626,968,27,23,30,22,29])).
% 56.17/56.26  cnf(3144,plain,
% 56.17/56.26     (P2(f3(a5,a5),f7(a4,a4),f3(a2,a2))),
% 56.17/56.26     inference(scs_inference,[],[3122,3126,858,2806,27,23])).
% 56.17/56.26  cnf(3146,plain,
% 56.17/56.26     (P4(a2,a1,a2)),
% 56.17/56.26     inference(scs_inference,[],[257,3122,3126,858,2806,27,23,22])).
% 56.17/56.26  cnf(3152,plain,
% 56.17/56.26     (~P4(f6(f3(a2,a2)),f3(a2,a2),f7(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[257,3122,3126,3128,3130,858,2806,3028,3018,2454,1070,1926,2362,828,27,23,22,29,28,26])).
% 56.17/56.26  cnf(3154,plain,
% 56.17/56.26     (P4(f3(f3(a1,a1),f3(a1,a1)),a2,a2)),
% 56.17/56.26     inference(scs_inference,[],[257,3122,3126,3128,3130,858,2806,3028,3018,3068,2454,1070,1926,2362,828,27,23,22,29,28,26,25])).
% 56.17/56.26  cnf(3173,plain,
% 56.17/56.26     (P2(f7(f3(a4,a4),f3(a4,a4)),f3(a1,a1),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[2561,1908,1750,3126,87,980,400,27,23,30])).
% 56.17/56.26  cnf(3175,plain,
% 56.17/56.26     (~P4(f3(a2,a2),f6(f3(a2,a2)),f7(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[2561,3152,1908,1750,3126,87,980,400,27,23,30,22])).
% 56.17/56.26  cnf(3177,plain,
% 56.17/56.26     (~P2(f6(a1),f3(f6(a1),f6(a1)),f7(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[253,2561,3152,1908,3108,2330,1750,3126,87,980,400,27,23,30,22,29])).
% 56.17/56.26  cnf(3179,plain,
% 56.17/56.26     (P2(f7(a1,a1),f3(a1,a1),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[253,2561,3152,1908,3108,2330,1750,2028,3126,609,87,980,400,27,23,30,22,29,28])).
% 56.17/56.26  cnf(3181,plain,
% 56.17/56.26     (P4(a4,f3(f7(a1,a1),f7(a1,a1)),a4)),
% 56.17/56.26     inference(scs_inference,[],[253,249,2561,3152,1908,3108,2330,1750,2571,2028,3126,2988,609,87,980,400,27,23,30,22,29,28,26])).
% 56.17/56.26  cnf(3194,plain,
% 56.17/56.26     (P2(f3(a1,a1),f7(f3(a4,a4),f3(a4,a4)),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[3173,2250,2374,500,27,23])).
% 56.17/56.26  cnf(3198,plain,
% 56.17/56.26     (P4(f3(f7(a1,a1),f7(a1,a1)),a4,a4)),
% 56.17/56.26     inference(scs_inference,[],[3173,3084,3181,2250,2374,2489,1457,2060,500,27,23,30,22])).
% 56.17/56.26  cnf(3204,plain,
% 56.17/56.26     (~P4(a1,f7(a4,a4),a1)),
% 56.17/56.26     inference(scs_inference,[],[3144,3173,2684,3084,3181,2856,1813,2250,3108,2374,2680,2489,1457,2060,500,27,23,30,22,29,28,26])).
% 56.17/56.26  cnf(3208,plain,
% 56.17/56.26     (P2(f8(f7(a4,a4)),f7(a4,a4),a4)),
% 56.17/56.26     inference(scs_inference,[],[253,3144,3173,3074,2684,3084,3181,2856,1813,2250,3108,2374,2680,2489,498,1457,2060,500,27,23,30,22,29,28,26,25,1404])).
% 56.17/56.26  cnf(3226,plain,
% 56.17/56.26     (P2(f3(a1,a1),f7(a1,a1),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[3194,3173,3179,27])).
% 56.17/56.26  cnf(3228,plain,
% 56.17/56.26     (P2(f7(a4,a4),f8(f7(a4,a4)),a4)),
% 56.17/56.26     inference(scs_inference,[],[3194,3208,3173,3179,27,23])).
% 56.17/56.26  cnf(3234,plain,
% 56.17/56.26     (P4(f7(a1,a1),a1,f3(f3(a1,a1),f3(a1,a1)))),
% 56.17/56.26     inference(scs_inference,[],[3194,3208,3032,3173,3179,1656,729,2334,820,346,322,27,23,30,29,22])).
% 56.17/56.26  cnf(3236,plain,
% 56.17/56.26     (~P2(f8(f7(a4,a4)),f7(a4,a4),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[3194,3208,1650,3032,3173,3179,1656,729,2334,2601,820,346,322,27,23,30,29,22,28])).
% 56.17/56.26  cnf(3249,plain,
% 56.17/56.26     (~P2(f7(a4,a4),f8(f7(a4,a4)),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[3236,3228,438,27,23])).
% 56.17/56.26  cnf(3257,plain,
% 56.17/56.26     (P2(f3(f7(a1,a1),f7(a1,a1)),f7(a1,a1),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[261,3226,3236,1632,1130,3228,438,2761,3181,1110,792,174,27,23,30,29,22,28])).
% 56.17/56.26  cnf(3259,plain,
% 56.17/56.26     (P4(f3(f3(a1,a1),f3(a1,a1)),f3(a1,a1),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[261,3226,3236,1632,1130,3228,3234,438,2761,3181,2584,1110,2688,792,174,27,23,30,29,22,28,26])).
% 56.17/56.26  cnf(3265,plain,
% 56.17/56.26     (~P2(f3(a1,a1),f7(a1,a1),f8(f7(a4,a4)))),
% 56.17/56.26     inference(scs_inference,[],[3249,3226,1138,27])).
% 56.17/56.26  cnf(3269,plain,
% 56.17/56.26     (P2(f3(f3(a1,a1),f3(a1,a1)),f7(a1,a1),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[3257,3249,3226,1138,611,87,27,23,30])).
% 56.17/56.26  cnf(3273,plain,
% 56.17/56.26     (P4(a5,a1,a5)),
% 56.17/56.26     inference(scs_inference,[],[263,3257,3249,2432,3226,1225,1138,611,87,713,27,23,30,29,22])).
% 56.17/56.26  cnf(3275,plain,
% 56.17/56.26     (P2(f7(a1,a1),f7(a1,a1),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[263,3257,3249,2432,3226,1670,1225,691,1138,611,87,713,27,23,30,29,22,28])).
% 56.17/56.26  cnf(3277,plain,
% 56.17/56.26     (~P4(f6(a5),f7(a4,a4),f6(a5))),
% 56.17/56.26     inference(scs_inference,[],[263,3257,3249,2432,3204,3226,1108,1670,1225,691,1138,611,87,713,27,23,30,29,22,28,26])).
% 56.17/56.26  cnf(3285,plain,
% 56.17/56.26     (P2(a1,f7(f8(a4),f8(a4)),a1)),
% 56.17/56.26     inference(scs_inference,[],[265,3265,2360,2976,3194,1479,3173,27,23,30])).
% 56.17/56.26  cnf(3287,plain,
% 56.17/56.26     (~P2(f3(f7(a1,a1),f7(a1,a1)),f3(a1,a1),f7(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[265,261,3265,2360,2976,3198,3128,3194,1479,3173,27,23,30,29])).
% 56.17/56.26  cnf(3295,plain,
% 56.17/56.26     (~P4(f7(a1,a1),a4,f3(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[265,261,3259,3265,2360,2976,2990,2836,1856,3198,3128,3194,1479,3173,3226,896,322,27,23,30,29,22,28,26,25])).
% 56.17/56.26  cnf(3303,plain,
% 56.17/56.26     (P4(a5,f6(a5),a1)),
% 56.17/56.26     inference(scs_inference,[],[265,3269,3285,663,3273,2684,3194,2358,1479,27,23,29,22])).
% 56.17/56.26  cnf(3307,plain,
% 56.17/56.26     (~P4(f3(f7(a1,a1),f7(a1,a1)),f3(a1,a1),f7(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[265,3269,3285,1308,3175,663,3273,3102,2684,3228,3194,2358,1479,2378,1946,27,23,29,22,28,26])).
% 56.17/56.26  cnf(3309,plain,
% 56.17/56.26     (P4(f6(a5),f3(a5,a5),a5)),
% 56.17/56.26     inference(scs_inference,[],[265,263,3269,3285,1308,3175,663,3273,3102,2684,3228,3194,2358,1479,2378,1946,190,27,23,29,22,28,26,25])).
% 56.17/56.26  cnf(3323,plain,
% 56.17/56.26     (P2(f3(f8(a4),f8(a4)),f3(a1,a1),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[261,3287,2940,3275,1090,2779,3228,709,2557,2420,3126,677,87,27,23,30,29,28])).
% 56.17/56.26  cnf(3327,plain,
% 56.17/56.26     (P4(f3(f3(a1,a1),f3(a1,a1)),a5,a5)),
% 56.17/56.26     inference(scs_inference,[],[263,261,3287,3307,2940,3275,3042,1090,2779,3228,709,2557,2420,3126,677,87,27,23,30,29,28,22,26])).
% 56.17/56.26  cnf(3329,plain,
% 56.17/56.26     (P4(f6(a5),a1,f6(a5))),
% 56.17/56.26     inference(scs_inference,[],[265,263,261,3287,3307,2940,3303,3275,3042,1090,2779,3228,709,2557,502,2420,3126,677,87,27,23,30,29,28,22,26,25])).
% 56.17/56.26  cnf(3333,plain,
% 56.17/56.26     (P2(f8(f7(a4,a4)),f7(a2,a2),f7(a2,a2))),
% 56.17/56.26     inference(scs_inference,[],[3208,1018,1946,27])).
% 56.17/56.26  cnf(3335,plain,
% 56.17/56.26     (P2(f3(a1,a1),f3(f8(a4),f8(a4)),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[3323,3208,1018,1946,27,23])).
% 56.17/56.26  cnf(3337,plain,
% 56.17/56.26     (~P4(a1,a1,f7(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[3323,2694,3285,3208,1018,1946,2848,27,23,30])).
% 56.17/56.26  cnf(3343,plain,
% 56.17/56.26     (P4(f3(a5,a5),f6(a5),a5)),
% 56.17/56.26     inference(scs_inference,[],[3323,3277,3309,3329,2694,3285,2976,2428,2892,3208,1018,1946,2848,27,23,30,28,29,22])).
% 56.17/56.26  cnf(3345,plain,
% 56.17/56.26     (~P4(a5,f7(a4,a4),a5)),
% 56.17/56.26     inference(scs_inference,[],[265,3323,3277,3309,3329,2694,3285,2976,2428,3204,2892,3208,1018,1946,2848,27,23,30,28,29,22,26])).
% 56.17/56.26  cnf(3358,plain,
% 56.17/56.26     (~P2(f7(f6(a1),f6(a1)),f3(a4,a4),f7(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[3177,462,1417,27])).
% 56.17/56.26  cnf(3378,plain,
% 56.17/56.26     (P2(f8(f7(a4,a4)),f3(a2,a2),f3(a5,a5))),
% 56.17/56.26     inference(scs_inference,[],[3122,3208,393,27])).
% 56.17/56.26  cnf(3384,plain,
% 56.17/56.26     (~P2(f8(f7(a4,a4)),f7(a4,a4),f3(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[3064,3333,3004,3122,2513,3208,1348,393,2601,27,23,29,28])).
% 56.17/56.26  cnf(3398,plain,
% 56.17/56.26     (~P2(f7(a1,a1),f7(a4,a4),f7(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[373,3228,27])).
% 56.17/56.26  cnf(3404,plain,
% 56.17/56.26     (P2(f3(a1,a1),f3(a4,a4),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[275,3358,3335,373,663,3273,2806,3228,210,346,27,23,29,28])).
% 56.17/56.26  cnf(3408,plain,
% 56.17/56.26     (P4(f6(a5),f3(f3(a1,a1),f3(a1,a1)),f6(a5))),
% 56.17/56.26     inference(scs_inference,[],[275,3358,3295,3335,373,663,3329,3273,2806,3043,3228,210,346,27,23,29,28,22,26])).
% 56.17/56.26  cnf(3410,plain,
% 56.17/56.26     (~P4(a5,f6(a5),f7(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[263,275,3358,3295,3337,3335,373,663,3303,3329,3273,2806,3043,3228,210,346,27,23,29,28,22,26,25])).
% 56.17/56.26  cnf(3420,plain,
% 56.17/56.26     (~P2(f3(f3(a1,a1),f3(a1,a1)),f3(a4,a4),f7(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[3404,3378,2732,2119,1138,611,27,23,29])).
% 56.17/56.26  cnf(3428,plain,
% 56.17/56.26     (~P4(f3(a5,a5),f7(a4,a4),f3(a5,a5))),
% 56.17/56.26     inference(scs_inference,[],[275,3404,3378,3384,2732,3408,3345,2340,3309,2834,448,2119,552,964,1138,611,27,23,29,28,30,22,26])).
% 56.17/56.26  cnf(3432,plain,
% 56.17/56.26     (~P2(a1,f8(a4),f7(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[275,3404,3378,3384,2732,3408,3345,2336,2340,3309,3154,2834,448,2119,552,964,1138,611,27,23,29,28,30,22,26,25,671])).
% 56.17/56.26  cnf(3436,plain,
% 56.17/56.26     (~P2(f7(a4,a4),f7(a1,a1),f7(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[3398,2826,3257,27,23])).
% 56.17/56.26  cnf(3442,plain,
% 56.17/56.26     (~P4(f7(a4,a4),f3(a5,a5),f3(a5,a5))),
% 56.17/56.26     inference(scs_inference,[],[279,3398,3428,2826,3269,3257,564,552,27,23,29,28,22])).
% 56.17/56.26  cnf(3444,plain,
% 56.17/56.26     (~P4(a1,a1,f8(f8(a4)))),
% 56.17/56.26     inference(scs_inference,[],[279,275,3398,3428,2826,2830,3269,3257,564,552,45,27,23,29,28,22,30])).
% 56.17/56.26  cnf(3446,plain,
% 56.17/56.26     (~P4(f7(a1,a1),f7(a4,a4),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[279,275,3398,3428,2826,2830,3269,2904,3257,564,552,45,27,23,29,28,22,30,26])).
% 56.17/56.26  cnf(3454,plain,
% 56.17/56.26     (P2(a2,f3(a4,a4),f3(a5,a5))),
% 56.17/56.26     inference(scs_inference,[],[279,3404,1815,27,23])).
% 56.17/56.26  cnf(3458,plain,
% 56.17/56.26     (P2(f3(f8(a4),f8(a4)),a2,f3(a5,a5))),
% 56.17/56.26     inference(scs_inference,[],[279,3442,3404,1176,2696,1225,1815,27,23,29,28])).
% 56.17/56.26  cnf(3460,plain,
% 56.17/56.26     (P2(f3(a4,a4),f3(a1,a1),f3(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[261,279,3442,3404,1176,2696,1225,1815,149,174,27,23,29,28,30])).
% 56.17/56.26  cnf(3468,plain,
% 56.17/56.26     (~P2(f3(f7(a1,a1),f7(a1,a1)),f7(a4,a4),f7(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[723,3228,27])).
% 56.17/56.26  cnf(3488,plain,
% 56.17/56.26     (P4(a1,a1,f3(f7(a1,a1),f7(a1,a1)))),
% 56.17/56.26     inference(scs_inference,[],[263,281,3420,3436,3446,3048,3444,723,3327,3275,3092,3303,2846,591,2254,1724,2779,3228,285,2988,550,1188,346,322,27,23,29,28,30,22,26,25,116,24,19])).
% 56.17/56.26  cnf(3490,plain,
% 56.17/56.26     (P2(f8(f7(a4,a4)),f7(a5,a5),f7(a5,a5))),
% 56.17/56.26     inference(scs_inference,[],[277,2144,3208,27])).
% 56.17/56.26  cnf(3513,plain,
% 56.17/56.26     (~P2(f7(a1,a1),x35131,f7(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[3468,3257,27])).
% 56.17/56.26  cnf(3540,plain,
% 56.17/56.26     (~P2(f3(a4,a4),f3(a1,a1),f6(f7(a4,a4)))),
% 56.17/56.26     inference(scs_inference,[],[279,3490,3086,3454,3460,1142,2834,3179,27,23,29])).
% 56.17/56.26  cnf(3542,plain,
% 56.17/56.26     (P2(f3(a1,a1),f7(a1,a1),f3(f7(a1,a1),f7(a1,a1)))),
% 56.17/56.26     inference(scs_inference,[],[279,3490,3086,3454,3460,3269,1142,2605,2834,3179,3226,322,27,23,29,30])).
% 56.17/56.26  cnf(3558,plain,
% 56.17/56.26     (P2(f3(f3(a1,a1),f3(a1,a1)),f3(a4,a4),f7(a1,a1))),
% 56.17/56.26     inference(scs_inference,[],[283,3432,3002,3460,3404,1110,2308,968,611,87,27,23,29,30])).
% 56.17/56.26  cnf(3566,plain,
% 56.17/56.26     (P4(f3(a5,a5),f3(f6(a5),f6(a5)),a1)),
% 56.17/56.26     inference(scs_inference,[],[283,3432,3540,3410,3343,628,3002,3323,3460,3032,3488,3404,2952,3303,3043,1110,2308,968,611,87,27,23,29,30,22,28,26,25])).
% 56.17/56.26  cnf(3578,plain,
% 56.17/56.26     (~P2(f3(a1,a1),f3(a5,a5),f7(a4,a4))),
% 56.17/56.26     inference(scs_inference,[],[277,285,275,3513,3542,3566,1559,3458,1654,3335,1275,3198,794,261,27,23,30,29,22,28])).
% 56.17/56.26  cnf(3591,plain,
% 56.17/56.26     (~P2(a2,a4,a2)),
% 56.17/56.26     inference(scs_inference,[],[275,3558,3578,1718,663,3146,3460,33,27,23,29])).
% 56.17/56.26  cnf(3650,plain,
% 56.17/56.26     ($false),
% 56.17/56.26     inference(scs_inference,[],[3591,1489,303,1188,27,23]),
% 56.17/56.26     ['proof']).
% 56.17/56.26  % SZS output end Proof
% 56.17/56.26  % Total time :55.400000s
%------------------------------------------------------------------------------