TSTP Solution File: FLD060-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : FLD060-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n004.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 22:26:53 EDT 2023

% Result   : Unsatisfiable 104.45s 104.48s
% Output   : CNFRefutation 104.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : FLD060-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33  % Computer : n004.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Sun Aug 27 23:05:07 EDT 2023
% 0.13/0.33  % CPUTime    : 
% 0.18/0.54  start to proof:theBenchmark
% 104.45/104.47  %-------------------------------------------
% 104.45/104.47  % File        :CSE---1.6
% 104.45/104.47  % Problem     :theBenchmark
% 104.45/104.47  % Transform   :cnf
% 104.45/104.47  % Format      :tptp:raw
% 104.45/104.47  % Command     :java -jar mcs_scs.jar %d %s
% 104.45/104.47  
% 104.45/104.47  % Result      :Theorem 103.880000s
% 104.45/104.47  % Output      :CNFRefutation 103.880000s
% 104.45/104.47  %-------------------------------------------
% 104.45/104.48  %--------------------------------------------------------------------------
% 104.45/104.48  % File     : FLD060-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 104.45/104.48  % Domain   : Field Theory (Ordered fields)
% 104.45/104.48  % Problem  : If b greater or equal b, then 2b greater or equal 2a
% 104.45/104.48  % Version  : [Dra93] axioms : Especial.
% 104.45/104.48  %            Theorem formulation : Functional with glxx axiom set.
% 104.45/104.48  % English  :
% 104.45/104.48  
% 104.45/104.48  % Refs     : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 104.45/104.48  % Source   : [Dra93]
% 104.45/104.48  % Names    :
% 104.45/104.48  
% 104.45/104.48  % Status   : Unsatisfiable
% 104.45/104.48  % Rating   : 0.14 v7.5.0, 0.17 v7.1.0, 0.33 v7.0.0, 0.38 v6.4.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.11 v6.1.0, 0.14 v5.5.0, 0.25 v5.4.0, 0.40 v5.2.0, 0.20 v5.1.0, 0.27 v5.0.0, 0.36 v4.1.0, 0.25 v4.0.1, 0.40 v4.0.0, 0.43 v3.7.0, 0.29 v3.4.0, 0.25 v3.3.0, 0.33 v2.7.0, 0.00 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
% 104.45/104.48  % Syntax   : Number of clauses     :   31 (   7 unt;   3 nHn;  31 RR)
% 104.45/104.48  %            Number of literals    :   77 (   0 equ;  45 neg)
% 104.45/104.48  %            Maximal clause size   :    4 (   2 avg)
% 104.45/104.48  %            Maximal term depth    :    3 (   1 avg)
% 104.45/104.48  %            Number of predicates  :    3 (   3 usr;   0 prp; 1-2 aty)
% 104.45/104.48  %            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
% 104.45/104.48  %            Number of variables   :   50 (   0 sgn)
% 104.45/104.48  % SPC      : CNF_UNS_RFO_NEQ_NHN
% 104.45/104.48  
% 104.45/104.48  % Comments :
% 104.45/104.48  % Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
% 104.45/104.48  %--------------------------------------------------------------------------
% 104.45/104.48  include('Axioms/FLD001-0.ax').
% 104.45/104.48  %--------------------------------------------------------------------------
% 104.45/104.48  cnf(a_is_defined,hypothesis,
% 104.45/104.48      defined(a) ).
% 104.45/104.48  
% 104.45/104.48  cnf(b_is_defined,hypothesis,
% 104.45/104.48      defined(b) ).
% 104.45/104.48  
% 104.45/104.48  cnf(less_or_equal_3,negated_conjecture,
% 104.45/104.48      less_or_equal(a,b) ).
% 104.45/104.48  
% 104.45/104.48  cnf(not_less_or_equal_4,negated_conjecture,
% 104.45/104.48      ~ less_or_equal(add(a,a),add(b,b)) ).
% 104.45/104.48  
% 104.45/104.48  %--------------------------------------------------------------------------
% 104.45/104.48  %-------------------------------------------
% 104.45/104.48  % Proof found
% 104.45/104.48  % SZS status Theorem for theBenchmark
% 104.45/104.48  % SZS output start Proof
% 104.45/104.48  %ClaNum:31(EqnAxiom:0)
% 104.45/104.48  %VarNum:128(SingletonVarNum:50)
% 104.45/104.48  %MaxLitNum:4
% 104.45/104.48  %MaxfuncDepth:2
% 104.45/104.48  %SharedTerms:13
% 104.45/104.48  %goalClause: 5 7
% 104.45/104.48  %singleGoalClaCount:2
% 104.45/104.48  [1]P1(a1)
% 104.45/104.48  [2]P1(a4)
% 104.45/104.48  [3]P1(a2)
% 104.45/104.48  [4]P1(a5)
% 104.45/104.48  [5]P2(a2,a5)
% 104.45/104.48  [6]~P3(a1,a4)
% 104.45/104.48  [7]~P2(f3(a2,a2),f3(a5,a5))
% 104.45/104.48  [9]~P1(x91)+P3(x91,x91)
% 104.45/104.48  [8]~P1(x81)+P1(f6(x81))
% 104.45/104.48  [13]~P1(x131)+P3(f3(a1,x131),x131)
% 104.45/104.48  [14]~P1(x141)+P3(f8(a4,x141),x141)
% 104.45/104.48  [17]~P1(x171)+P3(f3(x171,f6(x171)),a1)
% 104.45/104.48  [11]~P3(x112,x111)+P3(x111,x112)
% 104.45/104.48  [10]~P1(x101)+P3(x101,a1)+P1(f7(x101))
% 104.45/104.48  [22]~P1(x221)+P3(x221,a1)+P3(f8(x221,f7(x221)),a4)
% 104.45/104.48  [19]~P2(x192,x191)+~P2(x191,x192)+P3(x191,x192)
% 104.45/104.48  [15]~P1(x152)+~P1(x151)+P1(f3(x151,x152))
% 104.45/104.48  [16]~P1(x162)+~P1(x161)+P1(f8(x161,x162))
% 104.45/104.48  [23]~P2(a1,x232)+~P2(a1,x231)+P2(a1,f8(x231,x232))
% 104.45/104.48  [24]~P1(x242)+~P1(x241)+P3(f3(x241,x242),f3(x242,x241))
% 104.45/104.48  [25]~P1(x252)+~P1(x251)+P3(f8(x251,x252),f8(x252,x251))
% 104.45/104.48  [18]~P3(x181,x183)+P3(x181,x182)+~P3(x183,x182)
% 104.45/104.48  [20]~P2(x203,x202)+P2(x201,x202)+~P3(x203,x201)
% 104.45/104.48  [21]~P2(x211,x213)+P2(x211,x212)+~P2(x213,x212)
% 104.45/104.48  [26]~P1(x262)+~P3(x261,x263)+P3(f3(x261,x262),f3(x263,x262))
% 104.45/104.48  [27]~P1(x272)+~P3(x271,x273)+P3(f8(x271,x272),f8(x273,x272))
% 104.45/104.48  [28]~P1(x282)+~P2(x281,x283)+P2(f3(x281,x282),f3(x283,x282))
% 104.45/104.48  [12]P2(x122,x121)+~P1(x121)+~P1(x122)+P2(x121,x122)
% 104.45/104.48  [29]~P1(x293)+~P1(x292)+~P1(x291)+P3(f3(x291,f3(x292,x293)),f3(f3(x291,x292),x293))
% 104.45/104.48  [30]~P1(x303)+~P1(x302)+~P1(x301)+P3(f8(x301,f8(x302,x303)),f8(f8(x301,x302),x303))
% 104.45/104.48  [31]~P1(x313)+~P1(x312)+~P1(x311)+P3(f3(f8(x311,x312),f8(x313,x312)),f8(f3(x311,x313),x312))
% 104.45/104.48  %EqnAxiom
% 104.45/104.48  
% 104.45/104.48  %-------------------------------------------
% 104.45/104.49  cnf(32,plain,
% 104.45/104.49     (~P3(a4,a1)),
% 104.45/104.49     inference(scs_inference,[],[6,11])).
% 104.45/104.49  cnf(33,plain,
% 104.45/104.49     (P2(a1,a1)),
% 104.45/104.49     inference(scs_inference,[],[1,6,11,12])).
% 104.45/104.49  cnf(34,plain,
% 104.45/104.49     (P3(a1,a1)),
% 104.45/104.49     inference(scs_inference,[],[1,6,11,12,9])).
% 104.45/104.49  cnf(36,plain,
% 104.45/104.49     (P3(f8(a4,a1),a1)),
% 104.45/104.49     inference(scs_inference,[],[1,6,11,12,9,14])).
% 104.45/104.49  cnf(38,plain,
% 104.45/104.49     (P3(f3(a1,a1),a1)),
% 104.45/104.49     inference(scs_inference,[],[1,6,11,12,9,14,13])).
% 104.45/104.49  cnf(40,plain,
% 104.45/104.49     (P1(f6(a1))),
% 104.45/104.49     inference(scs_inference,[],[1,6,11,12,9,14,13,8])).
% 104.45/104.49  cnf(42,plain,
% 104.45/104.49     (P3(f3(a1,f6(a1)),a1)),
% 104.45/104.49     inference(scs_inference,[],[1,6,11,12,9,14,13,8,17])).
% 104.45/104.49  cnf(78,plain,
% 104.45/104.49     (~P3(a4,f3(a1,f6(a1)))),
% 104.45/104.49     inference(scs_inference,[],[42,32,18])).
% 104.45/104.49  cnf(80,plain,
% 104.45/104.49     (P1(f8(a2,a2))),
% 104.45/104.49     inference(scs_inference,[],[3,42,32,18,16])).
% 104.45/104.49  cnf(82,plain,
% 104.45/104.49     (P1(f3(a2,a2))),
% 104.45/104.49     inference(scs_inference,[],[3,42,32,18,16,15])).
% 104.45/104.49  cnf(84,plain,
% 104.45/104.49     (P3(f8(f3(a1,f6(a1)),a2),f8(a1,a2))),
% 104.45/104.49     inference(scs_inference,[],[3,42,32,18,16,15,27])).
% 104.45/104.49  cnf(86,plain,
% 104.45/104.49     (P3(f8(a2,a2),f8(a2,a2))),
% 104.45/104.49     inference(scs_inference,[],[3,42,32,18,16,15,27,25])).
% 104.45/104.49  cnf(88,plain,
% 104.45/104.49     (P3(f8(a4,f7(a4)),a4)),
% 104.45/104.49     inference(scs_inference,[],[3,2,42,32,18,16,15,27,25,22])).
% 104.45/104.49  cnf(90,plain,
% 104.45/104.49     (P3(f8(a2,f8(a2,a2)),f8(f8(a2,a2),a2))),
% 104.45/104.49     inference(scs_inference,[],[3,2,42,32,18,16,15,27,25,22,30])).
% 104.45/104.49  cnf(92,plain,
% 104.45/104.49     (P3(f3(a2,f3(a2,a2)),f3(f3(a2,a2),a2))),
% 104.45/104.49     inference(scs_inference,[],[3,2,42,32,18,16,15,27,25,22,30,29])).
% 104.45/104.49  cnf(94,plain,
% 104.45/104.49     (P3(f3(f8(a2,a2),f8(a2,a2)),f8(f3(a2,a2),a2))),
% 104.45/104.49     inference(scs_inference,[],[3,2,42,32,18,16,15,27,25,22,30,29,31])).
% 104.45/104.49  cnf(96,plain,
% 104.45/104.49     (P3(a1,f3(a1,f6(a1)))),
% 104.45/104.49     inference(scs_inference,[],[3,2,42,32,18,16,15,27,25,22,30,29,31,11])).
% 104.45/104.49  cnf(98,plain,
% 104.45/104.49     (P2(a1,f8(a1,a1))),
% 104.45/104.49     inference(scs_inference,[],[3,2,42,33,32,18,16,15,27,25,22,30,29,31,11,23])).
% 104.45/104.49  cnf(100,plain,
% 104.45/104.49     (P1(f7(a4))),
% 104.45/104.49     inference(scs_inference,[],[3,2,42,33,32,18,16,15,27,25,22,30,29,31,11,23,10])).
% 104.45/104.49  cnf(102,plain,
% 104.45/104.49     (P2(f3(a2,a2),f3(a5,a2))),
% 104.45/104.49     inference(scs_inference,[],[5,3,2,42,33,32,18,16,15,27,25,22,30,29,31,11,23,10,28])).
% 104.45/104.49  cnf(104,plain,
% 104.45/104.49     (P3(f3(f3(a1,f6(a1)),a2),f3(a1,a2))),
% 104.45/104.49     inference(scs_inference,[],[5,3,2,42,33,32,18,16,15,27,25,22,30,29,31,11,23,10,28,26])).
% 104.45/104.49  cnf(106,plain,
% 104.45/104.49     (P3(f3(a2,a2),f3(a2,a2))),
% 104.45/104.49     inference(scs_inference,[],[5,3,2,42,33,32,18,16,15,27,25,22,30,29,31,11,23,10,28,26,24])).
% 104.45/104.49  cnf(108,plain,
% 104.45/104.49     (~P1(f3(a5,a5))+P2(f3(a5,a5),f3(a2,a2))),
% 104.45/104.49     inference(scs_inference,[],[5,3,7,2,42,33,32,18,16,15,27,25,22,30,29,31,11,23,10,28,26,24,12])).
% 104.45/104.49  cnf(110,plain,
% 104.45/104.49     (~P1(f3(a5,a5))+P2(f3(a5,a5),f3(a5,a2))),
% 104.45/104.49     inference(scs_inference,[],[5,3,7,2,42,33,32,18,16,15,27,25,22,30,29,31,11,23,10,28,26,24,12,21])).
% 104.45/104.49  cnf(112,plain,
% 104.45/104.49     (~P1(f3(a5,a5))+P2(f3(a1,f6(a1)),a1)),
% 104.45/104.49     inference(scs_inference,[],[5,3,7,2,42,33,32,18,16,15,27,25,22,30,29,31,11,23,10,28,26,24,12,21,20])).
% 104.45/104.49  cnf(117,plain,
% 104.45/104.49     (~P2(f3(a5,a2),f3(a5,a5))),
% 104.45/104.49     inference(scs_inference,[],[7,102,21])).
% 104.45/104.49  cnf(119,plain,
% 104.45/104.49     (P3(f8(a4,a1),f3(a1,f6(a1)))),
% 104.45/104.49     inference(scs_inference,[],[7,102,36,96,21,18])).
% 104.45/104.49  cnf(121,plain,
% 104.45/104.49     (P3(f8(a5,f8(a5,a5)),f8(f8(a5,a5),a5))),
% 104.45/104.49     inference(scs_inference,[],[7,4,102,36,96,21,18,30])).
% 104.45/104.49  cnf(123,plain,
% 104.45/104.49     (P3(f3(a5,f3(a5,a5)),f3(f3(a5,a5),a5))),
% 104.45/104.49     inference(scs_inference,[],[7,4,102,36,96,21,18,30,29])).
% 104.45/104.49  cnf(125,plain,
% 104.45/104.49     (P3(f3(f8(a5,a5),f8(a5,a5)),f8(f3(a5,a5),a5))),
% 104.45/104.50     inference(scs_inference,[],[7,4,102,36,96,21,18,30,29,31])).
% 104.45/104.50  cnf(127,plain,
% 104.45/104.50     (~P3(f3(a1,f6(a1)),a4)),
% 104.45/104.50     inference(scs_inference,[],[7,4,102,36,78,96,21,18,30,29,31,11])).
% 104.45/104.50  cnf(136,plain,
% 104.45/104.50     (~P3(a1,f8(a4,f7(a4)))),
% 104.45/104.50     inference(scs_inference,[],[6,88,18])).
% 104.45/104.50  cnf(138,plain,
% 104.45/104.50     (P3(f8(f3(a2,a2),a2),f3(f8(a2,a2),f8(a2,a2)))),
% 104.45/104.50     inference(scs_inference,[],[6,94,88,18,11])).
% 104.45/104.50  cnf(140,plain,
% 104.45/104.50     (P2(f3(a1,a5),f3(f8(a1,a1),a5))),
% 104.45/104.50     inference(scs_inference,[],[6,4,94,98,88,18,11,28])).
% 104.45/104.50  cnf(142,plain,
% 104.45/104.50     (~P2(x1421,f3(a2,a2))+P2(x1421,f3(a5,a2))),
% 104.45/104.50     inference(scs_inference,[],[6,4,94,98,88,102,18,11,28,21])).
% 104.45/104.50  cnf(148,plain,
% 104.45/104.50     (~P3(f8(a4,f7(a4)),a1)),
% 104.45/104.50     inference(scs_inference,[],[136,11])).
% 104.45/104.50  cnf(152,plain,
% 104.45/104.50     (P2(f3(a1,a1),f3(a1,a1))),
% 104.45/104.50     inference(scs_inference,[],[1,33,138,136,94,11,18,28])).
% 104.45/104.50  cnf(154,plain,
% 104.45/104.50     (P2(a1,f3(a1,a1))),
% 104.45/104.50     inference(scs_inference,[],[1,33,138,136,38,94,11,18,28,20])).
% 104.45/104.50  cnf(156,plain,
% 104.45/104.50     (P1(f6(a5))),
% 104.45/104.50     inference(scs_inference,[],[1,33,4,138,136,38,94,11,18,28,20,8])).
% 104.45/104.50  cnf(158,plain,
% 104.45/104.50     (P3(a5,a5)),
% 104.45/104.50     inference(scs_inference,[],[1,33,4,138,136,38,94,11,18,28,20,8,9])).
% 104.45/104.50  cnf(160,plain,
% 104.45/104.50     (P3(f3(a1,a5),a5)),
% 104.45/104.50     inference(scs_inference,[],[1,33,4,138,136,38,94,11,18,28,20,8,9,13])).
% 104.45/104.50  cnf(162,plain,
% 104.45/104.50     (P3(f8(a4,a5),a5)),
% 104.45/104.50     inference(scs_inference,[],[1,33,4,138,136,38,94,11,18,28,20,8,9,13,14])).
% 104.45/104.50  cnf(164,plain,
% 104.45/104.50     (P3(f3(a5,f6(a5)),a1)),
% 104.45/104.50     inference(scs_inference,[],[1,33,4,138,136,38,94,11,18,28,20,8,9,13,14,17])).
% 104.45/104.50  cnf(172,plain,
% 104.45/104.50     (P1(f8(a1,a1))),
% 104.45/104.50     inference(scs_inference,[],[1,125,11,16])).
% 104.45/104.50  cnf(174,plain,
% 104.45/104.50     (P1(f3(a1,a1))),
% 104.45/104.50     inference(scs_inference,[],[1,125,11,16,15])).
% 104.45/104.50  cnf(176,plain,
% 104.45/104.50     (P3(f8(a1,a1),f8(a1,a1))),
% 104.45/104.50     inference(scs_inference,[],[1,125,11,16,15,25])).
% 104.45/104.50  cnf(182,plain,
% 104.45/104.50     (P2(a1,f8(f3(a1,a1),f3(a1,a1)))),
% 104.45/104.50     inference(scs_inference,[],[1,125,154,148,11,16,15,25,10,24,23])).
% 104.45/104.50  cnf(192,plain,
% 104.45/104.50     (~P2(x1921,f3(a5,a5))+~P2(f3(a5,a2),x1921)),
% 104.45/104.50     inference(scs_inference,[],[1,3,86,125,154,148,117,11,16,15,25,10,24,23,18,22,27,26,21])).
% 104.45/104.50  cnf(196,plain,
% 104.45/104.50     (~P3(x1961,f3(a5,a2))+~P2(x1961,f3(a5,a5))),
% 104.45/104.50     inference(scs_inference,[],[1,3,86,125,154,148,117,11,16,15,25,10,24,23,18,22,27,26,21,19,20])).
% 104.45/104.50  cnf(198,plain,
% 104.45/104.50     (P1(f8(a4,a4))),
% 104.45/104.50     inference(scs_inference,[],[2,16])).
% 104.45/104.50  cnf(200,plain,
% 104.45/104.50     (P1(f3(a4,a4))),
% 104.45/104.50     inference(scs_inference,[],[2,16,15])).
% 104.45/104.50  cnf(204,plain,
% 104.45/104.50     (P3(f3(a4,a4),f3(a4,a4))),
% 104.45/104.50     inference(scs_inference,[],[2,16,15,25,24])).
% 104.45/104.50  cnf(206,plain,
% 104.45/104.50     (P2(a1,f8(f8(a1,a1),f8(a1,a1)))),
% 104.45/104.50     inference(scs_inference,[],[2,98,16,15,25,24,23])).
% 104.45/104.50  cnf(210,plain,
% 104.45/104.50     (~P3(f8(a4,f7(a4)),f3(a1,f6(a1)))),
% 104.45/104.50     inference(scs_inference,[],[2,127,88,98,16,15,25,24,23,18,11])).
% 104.45/104.50  cnf(212,plain,
% 104.45/104.50     (P2(a5,f3(f8(a1,a1),a5))),
% 104.45/104.50     inference(scs_inference,[],[2,127,160,88,98,140,16,15,25,24,23,18,11,20])).
% 104.45/104.50  cnf(214,plain,
% 104.45/104.50     (P3(f8(a4,f8(a4,a4)),f8(f8(a4,a4),a4))),
% 104.45/104.50     inference(scs_inference,[],[2,127,160,88,98,140,16,15,25,24,23,18,11,20,30])).
% 104.45/104.50  cnf(216,plain,
% 104.45/104.50     (P3(f3(f8(a4,a4),f8(a4,a4)),f8(f3(a4,a4),a4))),
% 104.45/104.50     inference(scs_inference,[],[2,127,160,88,98,140,16,15,25,24,23,18,11,20,30,31])).
% 104.45/104.50  cnf(222,plain,
% 104.45/104.50     (P3(f3(a4,f3(a4,a4)),f3(f3(a4,a4),a4))),
% 104.45/104.50     inference(scs_inference,[],[2,34,127,160,88,98,140,16,15,25,24,23,18,11,20,30,31,27,26,29])).
% 104.45/104.50  cnf(224,plain,
% 104.45/104.50     (P2(a4,a4)),
% 104.45/104.50     inference(scs_inference,[],[2,34,127,160,88,98,140,16,15,25,24,23,18,11,20,30,31,27,26,29,12])).
% 104.45/104.50  cnf(226,plain,
% 104.45/104.50     (P2(a2,f3(f8(a1,a1),a5))),
% 104.45/104.50     inference(scs_inference,[],[2,34,127,160,88,98,140,5,16,15,25,24,23,18,11,20,30,31,27,26,29,12,21])).
% 104.45/104.50  cnf(232,plain,
% 104.45/104.50     (P3(f8(a1,f8(a1,a1)),f8(f8(a1,a1),a1))),
% 104.45/104.50     inference(scs_inference,[],[1,30])).
% 104.45/104.50  cnf(234,plain,
% 104.45/104.50     (P3(f3(f8(a1,a1),f8(a1,a1)),f8(f3(a1,a1),a1))),
% 104.45/104.50     inference(scs_inference,[],[1,30,31])).
% 104.45/104.50  cnf(236,plain,
% 104.45/104.50     (P3(f3(a1,f3(a1,a1)),f3(f3(a1,a1),a1))),
% 104.45/104.50     inference(scs_inference,[],[1,30,31,29])).
% 104.45/104.50  cnf(238,plain,
% 104.45/104.50     (~P3(f8(a4,f7(a4)),f8(a4,a1))),
% 104.45/104.50     inference(scs_inference,[],[210,119,1,30,31,29,18])).
% 104.45/104.50  cnf(240,plain,
% 104.45/104.50     (P3(a4,a4)),
% 104.45/104.50     inference(scs_inference,[],[210,119,224,1,30,31,29,18,19])).
% 104.45/104.50  cnf(242,plain,
% 104.45/104.50     (P3(f8(f3(a4,a4),a4),f3(f8(a4,a4),f8(a4,a4)))),
% 104.45/104.50     inference(scs_inference,[],[210,216,119,224,1,30,31,29,18,19,11])).
% 104.45/104.50  cnf(254,plain,
% 104.45/104.50     (P2(f3(a1,a2),f3(a1,a2))),
% 104.45/104.50     inference(scs_inference,[],[3,33,28])).
% 104.45/104.50  cnf(260,plain,
% 104.45/104.50     (P1(f6(a2))),
% 104.45/104.50     inference(scs_inference,[],[3,33,238,242,216,28,18,11,8])).
% 104.45/104.50  cnf(262,plain,
% 104.45/104.50     (P3(a2,a2)),
% 104.45/104.50     inference(scs_inference,[],[3,33,238,242,216,28,18,11,8,9])).
% 104.45/104.50  cnf(264,plain,
% 104.45/104.50     (P3(f3(a1,a2),a2)),
% 104.45/104.50     inference(scs_inference,[],[3,33,238,242,216,28,18,11,8,9,13])).
% 104.45/104.50  cnf(266,plain,
% 104.45/104.50     (P3(f8(a4,a2),a2)),
% 104.45/104.50     inference(scs_inference,[],[3,33,238,242,216,28,18,11,8,9,13,14])).
% 104.45/104.50  cnf(268,plain,
% 104.45/104.50     (P3(f3(a2,f6(a2)),a1)),
% 104.45/104.50     inference(scs_inference,[],[3,33,238,242,216,28,18,11,8,9,13,14,17])).
% 104.45/104.50  cnf(276,plain,
% 104.45/104.50     (~P3(x2761,f8(a4,f7(a4)))+~P1(f8(a4,a1))+~P1(f8(a4,f7(a4)))+~P2(f8(a4,a1),f8(a4,f7(a4)))+~P2(x2761,f8(a4,a1))),
% 104.45/104.50     inference(scs_inference,[],[3,33,238,242,216,28,18,11,8,9,13,14,17,19,12,21,20])).
% 104.45/104.50  cnf(279,plain,
% 104.45/104.50     (~P3(a4,f8(a4,a1))),
% 104.45/104.50     inference(scs_inference,[],[36,32,18])).
% 104.45/104.50  cnf(281,plain,
% 104.45/104.50     (P3(f3(a1,a2),f3(a1,a2))),
% 104.45/104.50     inference(scs_inference,[],[36,32,254,18,19])).
% 104.45/104.50  cnf(283,plain,
% 104.45/104.50     (P3(a1,f8(a4,a1))),
% 104.45/104.50     inference(scs_inference,[],[36,32,254,18,19,11])).
% 104.45/104.50  cnf(285,plain,
% 104.45/104.50     (P2(a2,f3(a1,a2))),
% 104.45/104.50     inference(scs_inference,[],[36,32,254,264,18,19,11,20])).
% 104.45/104.50  cnf(287,plain,
% 104.45/104.50     (~P2(x2871,a2)+P2(x2871,f3(f8(a1,a1),a5))),
% 104.45/104.50     inference(scs_inference,[],[36,32,254,264,226,18,19,11,20,21])).
% 104.45/104.50  cnf(289,plain,
% 104.45/104.50     (P3(f8(f3(a1,a1),a5),f8(a1,a5))),
% 104.45/104.50     inference(scs_inference,[],[4,38,27])).
% 104.45/104.50  cnf(291,plain,
% 104.45/104.50     (P3(f3(f3(a1,a1),a5),f3(a1,a5))),
% 104.45/104.50     inference(scs_inference,[],[4,38,27,26])).
% 104.45/104.50  cnf(293,plain,
% 104.45/104.50     (~P3(f8(a4,a1),a4)),
% 104.45/104.50     inference(scs_inference,[],[4,38,279,27,26,11])).
% 104.45/104.50  cnf(295,plain,
% 104.45/104.50     (~P3(a4,f3(a5,f6(a5)))),
% 104.45/104.50     inference(scs_inference,[],[4,38,32,164,279,27,26,11,18])).
% 104.45/104.50  cnf(297,plain,
% 104.45/104.50     (P1(f3(a5,a5))),
% 104.45/104.50     inference(scs_inference,[],[4,38,32,164,279,27,26,11,18,15])).
% 104.45/104.50  cnf(299,plain,
% 104.45/104.50     (P1(f8(a5,a5))),
% 104.45/104.50     inference(scs_inference,[],[4,38,32,164,279,27,26,11,18,15,16])).
% 104.45/104.50  cnf(303,plain,
% 104.45/104.50     (P3(f3(a5,a5),f3(a5,a5))),
% 104.45/104.50     inference(scs_inference,[],[4,38,32,164,279,27,26,11,18,15,16,25,24])).
% 104.45/104.50  cnf(307,plain,
% 104.45/104.50     (P2(f3(a5,a5),f3(a5,a2))),
% 104.45/104.50     inference(scs_inference,[],[4,38,32,164,279,117,27,26,11,18,15,16,25,24,12,110])).
% 104.45/104.50  cnf(308,plain,
% 104.45/104.50     (P2(f3(a5,a5),f3(a2,a2))),
% 104.45/104.50     inference(scs_inference,[],[4,38,32,164,279,117,27,26,11,18,15,16,25,24,12,110,108])).
% 104.45/104.50  cnf(315,plain,
% 104.45/104.50     (P2(f3(a1,f6(a1)),a1)),
% 104.45/104.50     inference(scs_inference,[],[297,112])).
% 104.45/104.50  cnf(317,plain,
% 104.45/104.50     (P1(f3(f8(a5,a5),f8(a5,a5)))),
% 104.45/104.50     inference(scs_inference,[],[299,15])).
% 104.45/104.50  cnf(325,plain,
% 104.45/104.50     (P2(a5,a5)),
% 104.45/104.50     inference(scs_inference,[],[4,299,297,15,16,25,24,12])).
% 104.45/104.50  cnf(327,plain,
% 104.45/104.50     (P3(a1,f3(a1,a1))),
% 104.45/104.50     inference(scs_inference,[],[4,38,299,297,15,16,25,24,12,11])).
% 104.45/104.50  cnf(329,plain,
% 104.45/104.50     (P3(f3(f3(a1,a1),a5),a5)),
% 104.45/104.50     inference(scs_inference,[],[4,38,299,297,291,160,15,16,25,24,12,11,18])).
% 104.45/104.50  cnf(341,plain,
% 104.45/104.50     (~P3(f3(a5,f6(a5)),a4)),
% 104.45/104.50     inference(scs_inference,[],[295,11])).
% 104.45/104.50  cnf(343,plain,
% 104.45/104.50     (P2(f8(a4,a1),a1)),
% 104.45/104.50     inference(scs_inference,[],[33,283,295,11,20])).
% 104.45/104.50  cnf(347,plain,
% 104.45/104.50     (P1(f6(f6(a1)))),
% 104.45/104.50     inference(scs_inference,[],[40,33,283,295,11,20,9,8])).
% 104.45/104.50  cnf(349,plain,
% 104.45/104.50     (P3(f3(a1,f6(a1)),f6(a1))),
% 104.45/104.50     inference(scs_inference,[],[40,33,283,295,11,20,9,8,13])).
% 104.45/104.50  cnf(351,plain,
% 104.45/104.50     (P3(f8(a4,f6(a1)),f6(a1))),
% 104.45/104.50     inference(scs_inference,[],[40,33,283,295,11,20,9,8,13,14])).
% 104.45/104.50  cnf(353,plain,
% 104.45/104.50     (P3(f3(f6(a1),f6(f6(a1))),a1)),
% 104.45/104.50     inference(scs_inference,[],[40,33,283,295,11,20,9,8,13,14,17])).
% 104.45/104.50  cnf(355,plain,
% 104.45/104.50     (P2(f3(a1,f6(a1)),f3(a1,f6(a1)))),
% 104.45/104.50     inference(scs_inference,[],[40,33,283,295,11,20,9,8,13,14,17,28])).
% 104.45/104.50  cnf(357,plain,
% 104.45/104.50     (P2(f6(a1),f6(a1))),
% 104.45/104.50     inference(scs_inference,[],[40,33,283,295,11,20,9,8,13,14,17,28,12])).
% 104.45/104.50  cnf(361,plain,
% 104.45/104.50     (~P3(a4,f3(a1,a1))),
% 104.45/104.50     inference(scs_inference,[],[40,38,32,33,283,295,11,20,9,8,13,14,17,28,12,19,18])).
% 104.45/104.50  cnf(369,plain,
% 104.45/104.50     (P3(f8(f8(a4,a4),a4),f8(a4,f8(a4,a4)))),
% 104.45/104.50     inference(scs_inference,[],[40,214,357,28,11])).
% 104.45/104.50  cnf(383,plain,
% 104.45/104.50     (~P3(f3(a1,a1),a4)),
% 104.45/104.50     inference(scs_inference,[],[361,11])).
% 104.45/104.50  cnf(390,plain,
% 104.45/104.50     (P3(f3(f8(a4,a1),f6(a1)),f3(a1,f6(a1)))),
% 104.45/104.50     inference(scs_inference,[],[36,40,26])).
% 104.45/104.50  cnf(394,plain,
% 104.45/104.50     (P3(f3(f3(a4,a4),a4),f3(a4,f3(a4,a4)))),
% 104.45/104.50     inference(scs_inference,[],[36,40,222,26,27,11])).
% 104.45/104.50  cnf(396,plain,
% 104.45/104.50     (P2(a1,f3(a1,f6(a1)))),
% 104.45/104.50     inference(scs_inference,[],[36,42,40,222,355,26,27,11,20])).
% 104.45/104.50  cnf(398,plain,
% 104.45/104.50     (P1(f8(f6(a1),f6(a1)))),
% 104.45/104.50     inference(scs_inference,[],[36,42,40,222,355,26,27,11,20,16])).
% 104.45/104.50  cnf(400,plain,
% 104.45/104.50     (P1(f3(f6(a1),f6(a1)))),
% 104.45/104.50     inference(scs_inference,[],[36,42,40,222,355,26,27,11,20,16,15])).
% 104.45/104.50  cnf(413,plain,
% 104.45/104.50     (P1(f8(f3(a4,a4),f3(a4,a4)))),
% 104.45/104.50     inference(scs_inference,[],[200,16])).
% 104.45/104.50  cnf(421,plain,
% 104.45/104.50     (P2(f3(a1,f3(a4,a4)),f3(a1,f3(a4,a4)))),
% 104.45/104.50     inference(scs_inference,[],[33,200,16,15,25,24,28])).
% 104.45/104.50  cnf(427,plain,
% 104.45/104.50     (P3(f3(a1,f3(a4,a4)),f3(a4,a4))),
% 104.45/104.50     inference(scs_inference,[],[33,200,347,16,15,25,24,28,19,9,13])).
% 104.45/104.51  cnf(431,plain,
% 104.45/104.51     (P3(f8(a4,f3(a4,a4)),f3(a4,a4))),
% 104.45/104.51     inference(scs_inference,[],[33,398,200,347,16,15,25,24,28,19,9,13,8,14])).
% 104.45/104.51  cnf(433,plain,
% 104.45/104.51     (P3(f3(f3(a4,a4),f6(f3(a4,a4))),a1)),
% 104.45/104.51     inference(scs_inference,[],[33,398,200,347,16,15,25,24,28,19,9,13,8,14,17])).
% 104.45/104.51  cnf(441,plain,
% 104.45/104.51     (P3(f8(f3(a1,a1),a1),f3(f8(a1,a1),f8(a1,a1)))),
% 104.45/104.51     inference(scs_inference,[],[33,34,40,398,234,200,82,347,343,16,15,25,24,28,19,9,13,8,14,17,27,26,21,11])).
% 104.45/104.51  cnf(446,plain,
% 104.45/104.51     (P2(f3(a1,f6(a1)),f3(f3(a1,f6(a1)),f6(a1)))),
% 104.45/104.51     inference(scs_inference,[],[40,396,28])).
% 104.45/104.51  cnf(448,plain,
% 104.45/104.51     (~P3(f8(a4,f7(a4)),f3(a1,a1))),
% 104.45/104.51     inference(scs_inference,[],[38,40,396,148,28,18])).
% 104.45/104.51  cnf(454,plain,
% 104.45/104.51     (P2(f3(a4,a4),f3(a1,f3(a4,a4)))),
% 104.45/104.51     inference(scs_inference,[],[38,40,413,427,421,396,148,28,18,11,12,20])).
% 104.45/104.51  cnf(460,plain,
% 104.45/104.51     (P3(f3(f3(a1,a1),a1),f3(a1,f3(a1,a1)))),
% 104.45/104.51     inference(scs_inference,[],[236,11])).
% 104.45/104.51  cnf(467,plain,
% 104.45/104.51     (P2(f8(a4,a1),f3(a1,f6(a1)))),
% 104.45/104.51     inference(scs_inference,[],[343,396,21])).
% 104.45/104.51  cnf(475,plain,
% 104.45/104.51     (P3(f8(f8(a4,a1),f3(a2,a2)),f8(a1,f3(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[36,82,27])).
% 104.45/104.51  cnf(477,plain,
% 104.45/104.51     (P3(f3(f8(a4,a1),f3(a2,a2)),f3(a1,f3(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[36,82,27,26])).
% 104.45/104.51  cnf(479,plain,
% 104.45/104.51     (P2(a1,f3(f3(a1,f6(a1)),f6(a1)))),
% 104.45/104.51     inference(scs_inference,[],[36,82,42,446,27,26,20])).
% 104.45/104.51  cnf(483,plain,
% 104.45/104.51     (P3(f3(a1,f3(a2,a2)),f3(a2,a2))),
% 104.45/104.51     inference(scs_inference,[],[36,82,42,100,446,27,26,20,9,13])).
% 104.45/104.51  cnf(485,plain,
% 104.45/104.51     (P1(f6(f3(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[36,82,42,100,446,27,26,20,9,13,8])).
% 104.45/104.51  cnf(489,plain,
% 104.45/104.51     (P3(f8(a4,f3(a2,a2)),f3(a2,a2))),
% 104.45/104.51     inference(scs_inference,[],[36,82,42,100,446,27,26,20,9,13,8,15,14])).
% 104.45/104.51  cnf(491,plain,
% 104.45/104.51     (P3(f3(f3(a2,a2),f6(f3(a2,a2))),a1)),
% 104.45/104.51     inference(scs_inference,[],[36,82,42,100,446,27,26,20,9,13,8,15,14,17])).
% 104.45/104.51  cnf(493,plain,
% 104.45/104.51     (P1(f8(f3(a2,a2),f3(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[36,82,42,100,446,27,26,20,9,13,8,15,14,17,16])).
% 104.45/104.51  cnf(505,plain,
% 104.45/104.51     (P1(f3(f8(a2,a2),f8(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[80,15])).
% 104.45/104.51  cnf(507,plain,
% 104.45/104.51     (P1(f8(f8(a2,a2),f8(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[80,15,16])).
% 104.45/104.51  cnf(513,plain,
% 104.45/104.51     (P2(f3(f8(a4,a1),f8(a2,a2)),f3(f3(a1,f6(a1)),f8(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[80,467,172,15,16,25,24,28])).
% 104.45/104.51  cnf(515,plain,
% 104.45/104.51     (~P2(f3(a1,f3(a2,a2)),f3(a5,a5))),
% 104.45/104.51     inference(scs_inference,[],[80,483,467,172,7,15,16,25,24,28,20])).
% 104.45/104.51  cnf(517,plain,
% 104.45/104.51     (P3(f8(f8(a4,a1),f8(a2,a2)),f8(a1,f8(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[36,80,483,467,172,7,15,16,25,24,28,20,27])).
% 104.45/104.51  cnf(519,plain,
% 104.45/104.51     (P3(f3(f8(a4,a1),f8(a2,a2)),f3(a1,f8(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[36,80,483,467,172,7,15,16,25,24,28,20,27,26])).
% 104.45/104.51  cnf(529,plain,
% 104.45/104.51     (P2(f8(a2,a2),f8(a2,a2))),
% 104.45/104.51     inference(scs_inference,[],[78,80,390,18,12])).
% 104.45/104.51  cnf(531,plain,
% 104.45/104.51     (~P3(f3(f8(a4,a1),f6(a1)),a4)),
% 104.45/104.51     inference(scs_inference,[],[78,80,390,18,12,11])).
% 104.45/104.51  cnf(533,plain,
% 104.45/104.51     (P2(f3(a1,f8(a2,a2)),f3(f3(a1,f6(a1)),f8(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[78,80,513,390,519,18,12,11,20])).
% 104.45/104.51  cnf(535,plain,
% 104.45/104.51     (P2(f3(a1,f6(a1)),f8(f3(a1,a1),f3(a1,a1)))),
% 104.45/104.51     inference(scs_inference,[],[78,80,513,390,519,182,315,18,12,11,20,21])).
% 104.45/104.51  cnf(540,plain,
% 104.45/104.51     (P3(f8(a1,a2),f8(f3(a1,f6(a1)),a2))),
% 104.45/104.51     inference(scs_inference,[],[84,11])).
% 104.45/104.51  cnf(542,plain,
% 104.45/104.51     (P2(f3(a1,a1),f3(f3(a1,f6(a1)),f6(a1)))),
% 104.45/104.51     inference(scs_inference,[],[84,327,479,11,20])).
% 104.45/104.51  cnf(544,plain,
% 104.45/104.51     (P2(f8(a4,a1),f8(f3(a1,a1),f3(a1,a1)))),
% 104.45/104.51     inference(scs_inference,[],[84,535,327,479,467,11,20,21])).
% 104.45/104.51  cnf(546,plain,
% 104.45/104.51     (P2(f3(f8(a2,a2),f8(a2,a2)),f3(f8(a2,a2),f8(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[84,80,529,535,327,479,467,11,20,21,28])).
% 104.45/104.51  cnf(550,plain,
% 104.45/104.51     (~P3(f6(a1),a4)),
% 104.45/104.51     inference(scs_inference,[],[84,80,529,507,535,327,349,479,467,127,11,20,21,28,12,18])).
% 104.45/104.51  cnf(554,plain,
% 104.45/104.51     (~P3(a4,f6(a1))),
% 104.45/104.51     inference(scs_inference,[],[550,11])).
% 104.45/104.51  cnf(556,plain,
% 104.45/104.51     (P3(f3(a1,f8(a2,a2)),f8(a2,a2))),
% 104.45/104.51     inference(scs_inference,[],[80,550,11,13])).
% 104.45/104.51  cnf(560,plain,
% 104.45/104.51     (P1(f6(f8(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[80,485,550,11,13,9,8])).
% 104.45/104.51  cnf(562,plain,
% 104.45/104.51     (P3(f8(a4,f8(a2,a2)),f8(a2,a2))),
% 104.45/104.51     inference(scs_inference,[],[80,485,550,11,13,9,8,14])).
% 104.45/104.51  cnf(564,plain,
% 104.45/104.51     (P3(f3(f8(a2,a2),f6(f8(a2,a2))),a1)),
% 104.45/104.51     inference(scs_inference,[],[80,485,550,11,13,9,8,14,17])).
% 104.45/104.51  cnf(566,plain,
% 104.45/104.51     (~P3(a4,f8(a4,f6(a1)))),
% 104.45/104.51     inference(scs_inference,[],[80,485,351,550,11,13,9,8,14,17,18])).
% 104.45/104.51  cnf(581,plain,
% 104.45/104.51     (P3(f8(f8(a1,a1),a1),f8(a1,f8(a1,a1)))),
% 104.45/104.51     inference(scs_inference,[],[40,84,86,232,540,27,26,18,11])).
% 104.45/104.51  cnf(583,plain,
% 104.45/104.51     (P2(f8(a2,a2),f3(f3(a1,f6(a1)),f8(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[40,84,86,232,556,533,540,27,26,18,11,20])).
% 104.45/104.51  cnf(585,plain,
% 104.45/104.51     (P2(f8(a4,a1),f3(a1,a1))),
% 104.45/104.51     inference(scs_inference,[],[40,84,86,232,556,533,540,154,343,27,26,18,11,20,21])).
% 104.45/104.51  cnf(587,plain,
% 104.45/104.51     (P1(f8(f6(a5),f6(a5)))),
% 104.45/104.51     inference(scs_inference,[],[40,84,86,232,556,533,540,156,154,343,27,26,18,11,20,21,16])).
% 104.45/104.51  cnf(589,plain,
% 104.45/104.51     (P1(f3(f6(a5),f6(a5)))),
% 104.45/104.51     inference(scs_inference,[],[40,84,86,232,556,533,540,156,154,343,27,26,18,11,20,21,16,15])).
% 104.45/104.51  cnf(597,plain,
% 104.45/104.51     (P2(f6(f8(a2,a2)),f6(f8(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[40,84,86,560,232,542,556,533,540,156,154,343,27,26,18,11,20,21,16,15,25,24,19,12])).
% 104.45/104.51  cnf(599,plain,
% 104.45/104.51     (P1(f8(f6(a2),f6(a2)))),
% 104.45/104.51     inference(scs_inference,[],[260,16])).
% 104.45/104.51  cnf(601,plain,
% 104.45/104.51     (P1(f3(f6(a2),f6(a2)))),
% 104.45/104.51     inference(scs_inference,[],[260,16,15])).
% 104.45/104.51  cnf(609,plain,
% 104.45/104.51     (~P2(f3(f8(a4,a1),f3(a2,a2)),f3(a5,a5))),
% 104.45/104.51     inference(scs_inference,[],[581,260,477,515,232,16,15,25,24,18,20])).
% 104.45/104.51  cnf(611,plain,
% 104.45/104.51     (P2(f8(a4,a1),f3(f3(a1,f6(a1)),f6(a1)))),
% 104.45/104.51     inference(scs_inference,[],[581,260,477,515,232,479,343,16,15,25,24,18,20,21])).
% 104.45/104.51  cnf(613,plain,
% 104.45/104.51     (~P3(f8(a4,f6(a1)),a4)),
% 104.45/104.51     inference(scs_inference,[],[581,260,566,477,515,232,479,343,16,15,25,24,18,20,21,11])).
% 104.45/104.51  cnf(615,plain,
% 104.45/104.51     (P3(f3(f3(a1,f6(a1)),f3(a2,a2)),f3(a1,f3(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[42,82,581,260,566,477,515,232,479,343,16,15,25,24,18,20,21,11,26])).
% 104.45/104.51  cnf(617,plain,
% 104.45/104.51     (P3(f8(f3(a1,f6(a1)),f3(a2,a2)),f8(a1,f3(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[42,82,581,260,566,477,515,232,479,343,16,15,25,24,18,20,21,11,26,27])).
% 104.45/104.51  cnf(625,plain,
% 104.45/104.51     (~P3(f8(a4,f6(a1)),f8(a4,f7(a4)))),
% 104.45/104.51     inference(scs_inference,[],[88,613,18])).
% 104.45/104.51  cnf(627,plain,
% 104.45/104.51     (~P2(f3(f3(a1,f6(a1)),f3(a2,a2)),f3(a5,a5))),
% 104.45/104.51     inference(scs_inference,[],[88,615,613,515,18,20])).
% 104.45/104.51  cnf(629,plain,
% 104.45/104.51     (P3(a4,f8(a4,f7(a4)))),
% 104.45/104.51     inference(scs_inference,[],[88,615,613,515,18,20,11])).
% 104.45/104.51  cnf(635,plain,
% 104.45/104.51     (~P2(x6351,f3(a5,a5))+~P2(f3(f8(a4,a1),f3(a2,a2)),x6351)),
% 104.45/104.51     inference(scs_inference,[],[88,587,597,609,615,613,515,18,20,11,19,12,21])).
% 104.45/104.51  cnf(639,plain,
% 104.45/104.51     (P2(f3(a1,f6(a1)),f3(a1,a1))),
% 104.45/104.51     inference(scs_inference,[],[88,585,629,119,18,20])).
% 104.45/104.51  cnf(641,plain,
% 104.45/104.51     (P2(f3(a1,f6(a1)),f8(f8(a1,a1),f8(a1,a1)))),
% 104.45/104.51     inference(scs_inference,[],[88,585,629,119,206,315,18,20,21])).
% 104.45/104.51  cnf(645,plain,
% 104.45/104.51     (P3(f3(a1,f3(a1,a1)),f3(a1,a1))),
% 104.45/104.51     inference(scs_inference,[],[88,585,625,629,174,119,206,315,18,20,21,11,13])).
% 104.45/104.51  cnf(649,plain,
% 104.45/104.51     (P1(f6(f8(f6(a2),f6(a2))))),
% 104.45/104.51     inference(scs_inference,[],[88,599,585,625,629,174,119,206,315,156,18,20,21,11,13,9,8])).
% 104.45/104.51  cnf(651,plain,
% 104.45/104.51     (P3(f8(a4,f3(a1,a1)),f3(a1,a1))),
% 104.45/104.51     inference(scs_inference,[],[88,599,585,625,629,174,119,206,315,156,18,20,21,11,13,9,8,14])).
% 104.45/104.51  cnf(653,plain,
% 104.45/104.51     (P3(f3(f3(a1,a1),f6(f3(a1,a1))),a1)),
% 104.45/104.51     inference(scs_inference,[],[88,599,585,625,629,174,119,206,315,156,18,20,21,11,13,9,8,14,17])).
% 104.45/104.51  cnf(660,plain,
% 104.45/104.51     (P3(f3(f6(a1),f6(f6(a1))),f8(a4,a1))),
% 104.45/104.51     inference(scs_inference,[],[353,283,18])).
% 104.45/104.51  cnf(662,plain,
% 104.45/104.51     (~P2(f8(a4,f3(a2,a2)),f3(a5,a5))),
% 104.45/104.51     inference(scs_inference,[],[353,489,283,7,18,20])).
% 104.45/104.51  cnf(664,plain,
% 104.45/104.51     (P3(f8(f8(a2,a2),a2),f8(a2,f8(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[90,353,489,283,7,18,20,11])).
% 104.45/104.51  cnf(666,plain,
% 104.45/104.51     (P2(f3(f3(a1,f6(a1)),f3(a2,a2)),f3(f3(a1,a1),f3(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[90,82,639,353,489,283,7,18,20,11,28])).
% 104.45/104.51  cnf(670,plain,
% 104.45/104.51     (~P2(f3(f3(a1,a1),f3(a2,a2)),f3(a5,a5))),
% 104.45/104.51     inference(scs_inference,[],[90,82,589,639,353,489,627,283,7,18,20,11,28,12,21])).
% 104.45/104.51  cnf(674,plain,
% 104.45/104.51     (P3(f3(f8(a4,f7(a4)),f8(a2,a2)),f3(a4,f8(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[80,88,26])).
% 104.45/104.51  cnf(676,plain,
% 104.45/104.51     (P3(f8(f8(a4,f7(a4)),f8(a2,a2)),f8(a4,f8(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[80,88,26,27])).
% 104.45/104.51  cnf(684,plain,
% 104.45/104.51     (P1(f3(f8(a4,a4),f8(a4,a4)))),
% 104.45/104.51     inference(scs_inference,[],[80,88,531,285,198,26,27,28,18,11,15])).
% 104.45/104.51  cnf(688,plain,
% 104.45/104.51     (P1(f8(f8(a4,a4),f8(a4,a4)))),
% 104.45/104.51     inference(scs_inference,[],[80,88,531,285,198,26,27,28,18,11,15,25,16])).
% 104.45/104.51  cnf(694,plain,
% 104.45/104.51     (P2(f3(a1,f3(a2,a2)),f3(f3(a1,a1),f3(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[80,88,670,666,531,285,615,198,100,297,26,27,28,18,11,15,25,16,24,12,20])).
% 104.45/104.51  cnf(700,plain,
% 104.45/104.51     (P1(f3(f8(a1,a1),f8(a1,a1)))),
% 104.45/104.51     inference(scs_inference,[],[172,15])).
% 104.45/104.51  cnf(704,plain,
% 104.45/104.51     (P1(f8(f8(a1,a1),f8(a1,a1)))),
% 104.45/104.51     inference(scs_inference,[],[172,15,25,16])).
% 104.45/104.51  cnf(710,plain,
% 104.45/104.51     (P3(f3(f3(a2,a2),a2),f3(a2,f3(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[92,90,664,172,174,15,25,16,24,18,11])).
% 104.45/104.51  cnf(716,plain,
% 104.45/104.51     (~P3(x7161,f8(a4,f3(a2,a2)))+~P2(x7161,f3(a5,a5))),
% 104.45/104.51     inference(scs_inference,[],[92,90,684,664,662,172,629,174,15,25,16,24,18,11,12,276,20])).
% 104.45/104.51  cnf(718,plain,
% 104.45/104.51     (~P2(x7181,f3(a5,a5))+~P2(f8(a4,f3(a2,a2)),x7181)),
% 104.45/104.51     inference(scs_inference,[],[92,90,684,664,662,172,629,174,15,25,16,24,18,11,12,276,20,21])).
% 104.45/104.51  cnf(726,plain,
% 104.45/104.51     (P3(f3(a1,f7(a4)),f7(a4))),
% 104.45/104.51     inference(scs_inference,[],[92,94,710,546,100,18,20,13])).
% 104.45/104.51  cnf(732,plain,
% 104.45/104.51     (P3(f8(a4,f7(a4)),f7(a4))),
% 104.45/104.51     inference(scs_inference,[],[92,94,688,710,546,100,260,18,20,13,9,8,14])).
% 104.45/104.51  cnf(734,plain,
% 104.45/104.51     (P3(f3(f7(a4),f6(f7(a4))),a1)),
% 104.45/104.51     inference(scs_inference,[],[92,94,688,710,546,100,260,18,20,13,9,8,14,17])).
% 104.45/104.51  cnf(738,plain,
% 104.45/104.51     (P3(f3(f3(a5,a5),a5),f3(a5,f3(a5,a5)))),
% 104.45/104.51     inference(scs_inference,[],[92,94,688,123,710,546,662,100,260,297,18,20,13,9,8,14,17,12,11])).
% 104.45/104.51  cnf(746,plain,
% 104.45/104.51     (P2(f3(a1,a1),f8(f3(a1,a1),f3(a1,a1)))),
% 104.45/104.51     inference(scs_inference,[],[88,341,327,182,18,20])).
% 104.45/104.51  cnf(748,plain,
% 104.45/104.51     (P2(f3(a1,f6(a1)),f8(a1,a1))),
% 104.45/104.51     inference(scs_inference,[],[88,341,327,182,315,98,18,20,21])).
% 104.45/104.51  cnf(750,plain,
% 104.45/104.51     (~P3(f8(a4,f7(a4)),f3(a5,f6(a5)))),
% 104.45/104.51     inference(scs_inference,[],[88,341,327,182,315,98,18,20,21,11])).
% 104.45/104.51  cnf(752,plain,
% 104.45/104.51     (P2(f3(f8(a1,a1),f8(a1,a1)),f3(f8(a1,a1),f8(a1,a1)))),
% 104.45/104.51     inference(scs_inference,[],[88,700,341,327,182,315,98,18,20,21,11,12])).
% 104.45/104.51  cnf(760,plain,
% 104.45/104.51     (P3(f8(f8(a5,a5),a5),f8(a5,f8(a5,a5)))),
% 104.45/104.51     inference(scs_inference,[],[121,738,123,18,11])).
% 104.45/104.51  cnf(762,plain,
% 104.45/104.51     (P2(f3(f3(a1,a1),f8(a5,a5)),f3(f8(f3(a1,a1),f3(a1,a1)),f8(a5,a5)))),
% 104.45/104.51     inference(scs_inference,[],[746,121,738,123,299,18,11,28])).
% 104.45/104.51  cnf(764,plain,
% 104.45/104.51     (~P3(x7641,f3(f3(a1,a1),f3(a2,a2)))+~P2(x7641,f3(a5,a5))),
% 104.45/104.51     inference(scs_inference,[],[746,121,738,123,670,299,18,11,28,20])).
% 104.45/104.51  cnf(777,plain,
% 104.45/104.51     (P2(f8(a4,a1),f8(a1,a1))),
% 104.45/104.51     inference(scs_inference,[],[760,748,752,234,121,467,20,18,21])).
% 104.45/104.51  cnf(779,plain,
% 104.45/104.51     (P1(f3(f3(a1,a1),f3(a1,a1)))),
% 104.45/104.51     inference(scs_inference,[],[760,748,752,234,121,467,174,20,18,21,15])).
% 104.45/104.51  cnf(783,plain,
% 104.45/104.51     (P1(f8(f3(a1,a1),f3(a1,a1)))),
% 104.45/104.51     inference(scs_inference,[],[760,748,752,234,121,467,174,20,18,21,15,25,16])).
% 104.45/104.51  cnf(800,plain,
% 104.45/104.51     (P1(f8(f7(a4),f7(a4)))),
% 104.45/104.51     inference(scs_inference,[],[86,198,100,25,27,26,16])).
% 104.45/104.51  cnf(804,plain,
% 104.45/104.51     (~P3(f8(a4,f7(a4)),f3(a1,f3(a1,a1)))),
% 104.45/104.51     inference(scs_inference,[],[86,645,448,198,100,25,27,26,16,15,18])).
% 104.45/104.51  cnf(808,plain,
% 104.45/104.51     (~P3(f3(a1,f3(a1,a1)),f8(a4,f7(a4)))),
% 104.45/104.51     inference(scs_inference,[],[86,645,448,206,198,343,100,25,27,26,16,15,18,21,11])).
% 104.45/104.51  cnf(810,plain,
% 104.45/104.51     (P3(f3(a1,f8(a4,a4)),f8(a4,a4))),
% 104.45/104.51     inference(scs_inference,[],[86,645,448,206,198,343,100,25,27,26,16,15,18,21,11,13])).
% 104.45/104.51  cnf(814,plain,
% 104.45/104.51     (P3(f8(a4,f8(a4,a4)),f8(a4,a4))),
% 104.45/104.51     inference(scs_inference,[],[86,779,645,448,206,198,343,100,25,27,26,16,15,18,21,11,13,8,14])).
% 104.45/104.51  cnf(816,plain,
% 104.45/104.51     (P3(f3(f8(a4,a4),f6(f8(a4,a4))),a1)),
% 104.45/104.51     inference(scs_inference,[],[86,779,645,448,206,198,343,100,25,27,26,16,15,18,21,11,13,8,14,17])).
% 104.45/104.51  cnf(828,plain,
% 104.45/104.51     (~P3(a4,f3(f6(a1),f6(f6(a1))))),
% 104.45/104.51     inference(scs_inference,[],[783,660,279,12,18])).
% 104.45/104.51  cnf(830,plain,
% 104.45/104.51     (P3(f8(a4,a4),f8(a4,f8(a4,a4)))),
% 104.45/104.51     inference(scs_inference,[],[783,814,660,279,12,18,11])).
% 104.45/104.51  cnf(839,plain,
% 104.45/104.51     (~P3(a4,f3(a1,f3(a1,a1)))),
% 104.45/104.51     inference(scs_inference,[],[88,804,18])).
% 104.45/104.51  cnf(841,plain,
% 104.45/104.51     (P2(f3(a2,a2),f3(f3(a1,a1),f3(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[88,804,694,483,18,20])).
% 104.45/104.51  cnf(845,plain,
% 104.45/104.51     (P3(f8(f8(a4,f7(a4)),f7(a4)),f8(a4,f7(a4)))),
% 104.45/104.51     inference(scs_inference,[],[88,100,804,828,694,483,18,20,11,27])).
% 104.45/104.51  cnf(847,plain,
% 104.45/104.51     (P3(f3(f8(a4,f7(a4)),f7(a4)),f3(a4,f7(a4)))),
% 104.45/104.51     inference(scs_inference,[],[88,100,804,828,694,483,18,20,11,27,26])).
% 104.45/104.51  cnf(849,plain,
% 104.45/104.51     (P2(f3(a1,f7(a4)),f3(f8(a1,a1),f7(a4)))),
% 104.45/104.51     inference(scs_inference,[],[88,98,100,804,828,694,483,18,20,11,27,26,28])).
% 104.45/104.51  cnf(851,plain,
% 104.45/104.51     (P2(f7(a4),f7(a4))),
% 104.45/104.51     inference(scs_inference,[],[88,98,100,804,828,694,483,18,20,11,27,26,28,12])).
% 104.45/104.51  cnf(857,plain,
% 104.45/104.51     (~P3(f3(a1,f3(a1,a1)),f8(f8(a4,f7(a4)),f7(a4)))),
% 104.45/104.51     inference(scs_inference,[],[808,845,18])).
% 104.45/104.51  cnf(859,plain,
% 104.45/104.51     (P2(f7(a4),f3(f8(a1,a1),f7(a4)))),
% 104.45/104.51     inference(scs_inference,[],[808,845,849,726,18,20])).
% 104.45/104.51  cnf(861,plain,
% 104.45/104.51     (P3(f8(a2,a2),f8(a4,f8(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[808,562,845,849,726,18,20,11])).
% 104.45/104.51  cnf(863,plain,
% 104.45/104.51     (P2(f3(a5,a5),f3(f3(a1,a1),f3(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[841,808,562,845,849,726,308,18,20,11,21])).
% 104.45/104.51  cnf(867,plain,
% 104.45/104.51     (P3(f3(a1,f8(a4,a4)),f8(a4,f8(a4,a4)))),
% 104.45/104.51     inference(scs_inference,[],[830,810,18])).
% 104.45/104.51  cnf(869,plain,
% 104.45/104.51     (~P3(f8(f8(a4,f7(a4)),f7(a4)),f3(a1,f3(a1,a1)))),
% 104.45/104.51     inference(scs_inference,[],[830,857,810,18,11])).
% 104.45/104.51  cnf(873,plain,
% 104.45/104.51     (P1(f6(f7(a4)))),
% 104.45/104.51     inference(scs_inference,[],[100,830,857,810,172,18,11,13,8])).
% 104.45/104.51  cnf(875,plain,
% 104.45/104.51     (P3(f8(a4,f8(a1,a1)),f8(a1,a1))),
% 104.45/104.51     inference(scs_inference,[],[100,830,857,810,172,18,11,13,8,14])).
% 104.45/104.51  cnf(877,plain,
% 104.45/104.51     (P3(f3(f8(a1,a1),f6(f8(a1,a1))),a1)),
% 104.45/104.51     inference(scs_inference,[],[100,830,857,810,172,18,11,13,8,14,17])).
% 104.45/104.51  cnf(879,plain,
% 104.45/104.51     (P1(f3(f3(a5,a5),f3(a5,a5)))),
% 104.45/104.51     inference(scs_inference,[],[100,830,857,810,172,297,18,11,13,8,14,17,15])).
% 104.45/104.51  cnf(883,plain,
% 104.45/104.51     (P1(f8(f3(a5,a5),f3(a5,a5)))),
% 104.45/104.51     inference(scs_inference,[],[100,830,857,810,172,297,18,11,13,8,14,17,15,25,16])).
% 104.45/104.51  cnf(904,plain,
% 104.45/104.51     (P3(f8(f8(a4,f7(a4)),f8(a2,a2)),f8(a2,a2))),
% 104.45/104.51     inference(scs_inference,[],[676,861,873,583,562,9,20,18])).
% 104.45/104.51  cnf(906,plain,
% 104.45/104.51     (P3(f8(a4,f8(a2,a2)),f8(f8(a4,f7(a4)),f8(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[676,861,873,583,562,9,20,18,11])).
% 104.45/104.51  cnf(921,plain,
% 104.45/104.51     (P2(f8(a4,f8(a2,a2)),f8(a2,a2))),
% 104.45/104.51     inference(scs_inference,[],[879,861,529,12,20])).
% 104.45/104.51  cnf(923,plain,
% 104.45/104.51     (~P3(f7(a4),f3(a5,f6(a5)))),
% 104.45/104.51     inference(scs_inference,[],[879,732,750,861,529,12,20,18])).
% 104.45/104.51  cnf(925,plain,
% 104.45/104.51     (~P3(f3(a1,f3(a1,a1)),a4)),
% 104.45/104.51     inference(scs_inference,[],[879,732,839,750,861,529,12,20,18,11])).
% 104.45/104.51  cnf(936,plain,
% 104.45/104.51     (~P3(f8(a4,f7(a4)),f8(a4,f3(a1,a1)))),
% 104.45/104.51     inference(scs_inference,[],[651,448,18])).
% 104.45/104.51  cnf(938,plain,
% 104.45/104.51     (P3(f3(a1,a2),f3(f3(a1,f6(a1)),a2))),
% 104.45/104.51     inference(scs_inference,[],[104,651,448,18,11])).
% 104.45/104.51  cnf(944,plain,
% 104.45/104.51     (P3(f3(a1,f7(a4)),f3(f3(a1,f6(a1)),f7(a4)))),
% 104.45/104.51     inference(scs_inference,[],[104,96,100,883,651,535,349,448,18,11,12,20,26])).
% 104.45/104.51  cnf(946,plain,
% 104.45/104.51     (P3(f8(a1,f7(a4)),f8(f3(a1,f6(a1)),f7(a4)))),
% 104.45/104.51     inference(scs_inference,[],[104,96,100,883,651,535,349,448,18,11,12,20,26,27])).
% 104.45/104.51  cnf(952,plain,
% 104.45/104.51     (P3(f3(a2,f6(a2)),f3(a1,f6(a1)))),
% 104.45/104.51     inference(scs_inference,[],[96,936,268,11,18])).
% 104.45/104.51  cnf(960,plain,
% 104.45/104.51     (P3(f3(f8(a5,a5),f6(f8(a5,a5))),a1)),
% 104.45/104.51     inference(scs_inference,[],[96,936,268,800,299,11,18,13,14,8,17])).
% 104.45/104.51  cnf(962,plain,
% 104.45/104.51     (~P3(x9621,f3(f3(a1,f6(a1)),f3(a2,a2)))+~P2(x9621,f3(a5,a5))),
% 104.45/104.51     inference(scs_inference,[],[96,936,268,800,627,299,11,18,13,14,8,17,20])).
% 104.45/104.51  cnf(975,plain,
% 104.45/104.51     (P2(f8(f8(a4,f7(a4)),f8(a2,a2)),f8(a2,a2))),
% 104.45/104.51     inference(scs_inference,[],[906,921,20])).
% 104.45/104.51  cnf(977,plain,
% 104.45/104.51     (P3(f8(a2,a2),f8(f8(a4,f7(a4)),f8(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[904,906,921,20,11])).
% 104.45/104.51  cnf(979,plain,
% 104.45/104.51     (~P3(a4,f3(f3(a2,a2),f6(f3(a2,a2))))),
% 104.45/104.51     inference(scs_inference,[],[904,906,921,491,32,20,11,18])).
% 104.45/104.51  cnf(992,plain,
% 104.45/104.51     (~P3(f3(a5,f6(a5)),f7(a4))),
% 104.45/104.51     inference(scs_inference,[],[944,923,849,20,11])).
% 104.45/104.51  cnf(994,plain,
% 104.45/104.51     (~P3(f8(a4,f7(a4)),f3(a2,f6(a2)))),
% 104.45/104.51     inference(scs_inference,[],[944,952,923,849,210,20,11,18])).
% 104.45/104.51  cnf(996,plain,
% 104.45/104.51     (P3(f3(a1,f6(a5)),f3(f3(a1,f6(a1)),f6(a5)))),
% 104.45/104.51     inference(scs_inference,[],[96,944,952,923,849,210,156,20,11,18,26])).
% 104.45/104.51  cnf(1004,plain,
% 104.45/104.51     (P3(f8(a1,f3(a2,a2)),f8(f3(a1,f6(a1)),f3(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[617,11])).
% 104.45/104.51  cnf(1006,plain,
% 104.45/104.51     (P3(f8(f8(a4,a1),f3(a2,a2)),f8(f3(a1,f6(a1)),f3(a2,a2)))),
% 104.45/104.51     inference(scs_inference,[],[617,475,11,18])).
% 104.45/104.51  cnf(1010,plain,
% 104.45/104.51     (P3(f7(a4),a1)+P3(f8(f7(a4),f7(f7(a4))),a4)),
% 104.45/104.51     inference(scs_inference,[],[100,617,475,601,11,18,12,22])).
% 104.45/104.51  cnf(1016,plain,
% 104.45/104.51     (~P3(a4,f3(f7(a4),f6(f7(a4))))),
% 104.45/104.51     inference(scs_inference,[],[734,994,32,11,18])).
% 104.45/104.51  cnf(1018,plain,
% 104.45/104.51     (P3(f3(a1,f6(a2)),f6(a2))),
% 104.45/104.51     inference(scs_inference,[],[734,994,260,32,11,18,13])).
% 104.45/104.51  cnf(1022,plain,
% 104.45/104.51     (P3(f8(a4,f6(a2)),f6(a2))),
% 104.45/104.51     inference(scs_inference,[],[734,994,493,260,32,11,18,13,8,14])).
% 104.45/104.51  cnf(1024,plain,
% 104.45/104.51     (P3(f3(f6(a2),f6(f6(a2))),a1)),
% 104.45/104.51     inference(scs_inference,[],[734,994,493,260,32,11,18,13,8,14,17])).
% 104.45/104.51  cnf(1042,plain,
% 104.45/104.51     (P3(f3(a1,f6(a1)),f8(a4,a1))),
% 104.45/104.51     inference(scs_inference,[],[106,119,100,26,27,11])).
% 104.45/104.51  cnf(1058,plain,
% 104.45/104.52     (~P3(f3(f3(a2,a2),f6(f3(a2,a2))),a4)),
% 104.45/104.52     inference(scs_inference,[],[979,11])).
% 104.45/104.52  cnf(1073,plain,
% 104.45/104.52     (~P3(a4,f3(f8(a2,a2),f6(f8(a2,a2))))),
% 104.45/104.52     inference(scs_inference,[],[564,32,18])).
% 104.45/104.52  cnf(1075,plain,
% 104.45/104.52     (P3(f8(f3(a1,f6(a1)),f3(a2,a2)),f8(f8(a4,a1),f3(a2,a2)))),
% 104.45/104.52     inference(scs_inference,[],[1006,564,32,18,11])).
% 104.45/104.52  cnf(1085,plain,
% 104.45/104.52     (P3(f3(a1,f6(a5)),f6(a5))),
% 104.45/104.52     inference(scs_inference,[],[1075,1016,1006,156,11,18,13])).
% 104.45/104.52  cnf(1087,plain,
% 104.45/104.52     (P3(f8(a4,f6(a5)),f6(a5))),
% 104.45/104.52     inference(scs_inference,[],[1075,1016,1006,156,11,18,13,14])).
% 104.45/104.52  cnf(1091,plain,
% 104.45/104.52     (P3(f3(f6(a5),f6(f6(a5))),a1)),
% 104.45/104.52     inference(scs_inference,[],[1075,1016,400,1006,156,11,18,13,14,8,17])).
% 104.45/104.52  cnf(1101,plain,
% 104.45/104.52     (P3(f3(f8(a1,a1),f6(f8(a1,a1))),f8(a4,a1))),
% 104.45/104.52     inference(scs_inference,[],[877,283,18])).
% 104.45/104.52  cnf(1113,plain,
% 104.45/104.52     (~P3(a4,f3(f3(a4,a4),f6(f3(a4,a4))))),
% 104.45/104.52     inference(scs_inference,[],[433,1073,32,11,18])).
% 104.45/104.52  cnf(1119,plain,
% 104.45/104.52     (~P2(f3(f3(a1,f6(a1)),a2),x11191)+P2(f3(a1,a2),x11191)),
% 104.45/104.52     inference(scs_inference,[],[104,433,1073,762,200,32,11,18,19,22,20])).
% 104.45/104.52  cnf(1125,plain,
% 104.45/104.52     (P3(f8(a1,a1),f8(a4,f8(a1,a1)))),
% 104.45/104.52     inference(scs_inference,[],[119,875,1042,18,11])).
% 104.45/104.52  cnf(1133,plain,
% 104.45/104.52     (P3(f3(f3(a1,a1),f6(f3(a1,a1))),f3(a1,a1))),
% 104.45/104.52     inference(scs_inference,[],[653,327,18])).
% 104.45/104.52  cnf(1137,plain,
% 104.45/104.52     (P3(f3(a1,f3(a5,a5)),f3(a5,a5))),
% 104.45/104.52     inference(scs_inference,[],[653,1113,327,297,18,11,13])).
% 104.45/104.52  cnf(1141,plain,
% 104.45/104.52     (P3(f8(a4,f3(a5,a5)),f3(a5,a5))),
% 104.45/104.52     inference(scs_inference,[],[653,1113,317,327,297,18,11,13,8,14])).
% 104.45/104.52  cnf(1143,plain,
% 104.45/104.52     (P3(f3(f3(a5,a5),f6(f3(a5,a5))),a1)),
% 104.45/104.52     inference(scs_inference,[],[653,1113,317,327,297,18,11,13,8,14,17])).
% 104.45/104.52  cnf(1159,plain,
% 104.45/104.52     (P3(f3(a1,a1),f3(f3(a1,a1),f6(f3(a1,a1))))),
% 104.45/104.52     inference(scs_inference,[],[1133,11])).
% 104.45/104.52  cnf(1178,plain,
% 104.45/104.52     (P3(f8(a4,f8(a4,a4)),f3(a1,f8(a4,a4)))),
% 104.45/104.52     inference(scs_inference,[],[867,11])).
% 104.45/104.52  cnf(1180,plain,
% 104.45/104.52     (~P3(f3(f3(a1,a1),f6(f3(a1,a1))),a4)),
% 104.45/104.52     inference(scs_inference,[],[1159,867,383,11,18])).
% 104.45/104.52  cnf(1190,plain,
% 104.45/104.52     (P3(f8(a4,a4),a4)),
% 104.45/104.52     inference(scs_inference,[],[816,1180,32,2,18,11,14])).
% 104.45/104.52  cnf(1192,plain,
% 104.45/104.52     (P3(f3(a1,a4),a4)),
% 104.45/104.52     inference(scs_inference,[],[816,1180,32,2,18,11,14,13])).
% 104.45/104.52  cnf(1194,plain,
% 104.45/104.52     (P3(f3(a4,f6(a4)),a1)),
% 104.45/104.52     inference(scs_inference,[],[816,1180,32,2,18,11,14,13,17])).
% 104.45/104.52  cnf(1231,plain,
% 104.45/104.52     (~P3(f3(a1,f6(a1)),f8(a4,a4))),
% 104.45/104.52     inference(scs_inference,[],[127,1190,18])).
% 104.45/104.52  cnf(1243,plain,
% 104.45/104.52     (P2(f3(f3(a1,f6(a1)),a2),f3(a1,a2))),
% 104.45/104.52     inference(scs_inference,[],[938,254,20])).
% 104.45/104.52  cnf(1247,plain,
% 104.45/104.52     (~P3(f8(a4,a4),f3(a1,f6(a1)))),
% 104.45/104.52     inference(scs_inference,[],[1231,938,1075,1004,254,20,18,11])).
% 104.45/104.52  cnf(1256,plain,
% 104.45/104.52     (P3(f3(f8(a5,a5),f6(f8(a5,a5))),f8(a4,a1))),
% 104.45/104.52     inference(scs_inference,[],[960,152,1159,283,20,18])).
% 104.45/104.52  cnf(1258,plain,
% 104.45/104.52     (P3(a5,f8(a4,a5))),
% 104.45/104.52     inference(scs_inference,[],[162,960,152,1159,283,20,18,11])).
% 104.45/104.52  cnf(1277,plain,
% 104.45/104.52     (~P3(f3(a1,f6(a1)),f3(a1,a4))),
% 104.45/104.52     inference(scs_inference,[],[127,1192,18])).
% 104.45/104.52  cnf(1289,plain,
% 104.45/104.52     (P3(f3(f3(a1,a1),a5),f8(a4,a5))),
% 104.45/104.52     inference(scs_inference,[],[329,1258,212,20,18])).
% 104.45/104.52  cnf(1301,plain,
% 104.45/104.52     (P3(f3(f6(a2),f6(f6(a2))),f3(a1,a1))),
% 104.45/104.52     inference(scs_inference,[],[1024,327,18])).
% 104.45/104.52  cnf(1303,plain,
% 104.45/104.52     (~P3(f3(a1,a4),f3(a1,f6(a1)))),
% 104.45/104.52     inference(scs_inference,[],[1277,1024,327,18,11])).
% 104.45/104.52  cnf(1315,plain,
% 104.45/104.52     (P3(f6(a5),f3(a1,f6(a5)))),
% 104.45/104.52     inference(scs_inference,[],[1085,1301,361,18,11])).
% 104.45/104.52  cnf(1325,plain,
% 104.45/104.52     (P3(f6(a5),f3(f3(a1,f6(a1)),f6(a5)))),
% 104.45/104.52     inference(scs_inference,[],[996,1315,18])).
% 104.45/104.52  cnf(1335,plain,
% 104.45/104.52     (P3(f3(f6(a5),f6(f6(a5))),f8(a4,a1))),
% 104.45/104.52     inference(scs_inference,[],[1091,283,18])).
% 104.45/104.52  cnf(1337,plain,
% 104.45/104.52     (P3(f6(a2),f3(a1,f6(a2)))),
% 104.45/104.52     inference(scs_inference,[],[1018,1091,283,18,11])).
% 104.45/104.52  cnf(1370,plain,
% 104.45/104.52     (P3(f6(a2),f8(a4,f6(a2)))),
% 104.45/104.52     inference(scs_inference,[],[1022,1337,18,11])).
% 104.45/104.52  cnf(1372,plain,
% 104.45/104.52     (~P2(f3(a5,a2),x13721)+P2(f3(a5,a5),x13721)),
% 104.45/104.52     inference(scs_inference,[],[1022,1337,307,18,11,21])).
% 104.45/104.52  cnf(1390,plain,
% 104.45/104.52     (P2(f6(a5),f6(a5))),
% 104.45/104.52     inference(scs_inference,[],[158,156,1143,1058,327,27,26,18,19,12])).
% 104.45/104.52  cnf(1406,plain,
% 104.45/104.52     (P3(a5,f3(a1,a5))),
% 104.45/104.52     inference(scs_inference,[],[160,11])).
% 104.45/104.52  cnf(1419,plain,
% 104.45/104.52     (P2(f3(a1,f6(a5)),f3(f3(a1,a1),f6(a5)))),
% 104.45/104.52     inference(scs_inference,[],[154,156,28])).
% 104.45/104.52  cnf(1434,plain,
% 104.45/104.52     (P2(f3(f3(a1,f6(a1)),f6(a5)),f6(a5))),
% 104.45/104.52     inference(scs_inference,[],[1325,1390,20])).
% 104.45/104.52  cnf(1436,plain,
% 104.45/104.52     (P3(f6(a5),f8(a4,f6(a5)))),
% 104.45/104.52     inference(scs_inference,[],[1087,1325,1390,20,11])).
% 104.45/104.52  cnf(1438,plain,
% 104.45/104.52     (~P3(a4,f3(f8(a5,a5),f6(f8(a5,a5))))),
% 104.45/104.52     inference(scs_inference,[],[1087,1256,1325,1390,279,20,11,18])).
% 104.45/104.52  cnf(1442,plain,
% 104.45/104.52     (P3(f3(a1,f6(a5)),f3(f3(a1,a1),f6(a5)))+~P2(f3(a1,a1),a1)),
% 104.45/104.52     inference(scs_inference,[],[156,1087,1419,1256,1325,1390,279,20,11,18,19,28])).
% 104.45/104.52  cnf(1450,plain,
% 104.45/104.52     (P3(f8(a4,a5),f3(a1,a5))),
% 104.45/104.52     inference(scs_inference,[],[162,152,1406,1438,299,28,11,18])).
% 104.45/104.52  cnf(1463,plain,
% 104.45/104.52     (P3(f3(f3(a5,f6(a5)),f6(a5)),f3(a1,f6(a5)))),
% 104.45/104.52     inference(scs_inference,[],[164,156,27,26])).
% 104.45/104.52  cnf(1467,plain,
% 104.45/104.52     (P3(a1,f3(a5,f6(a5)))),
% 104.45/104.52     inference(scs_inference,[],[164,156,851,27,26,28,11])).
% 104.45/104.52  cnf(1469,plain,
% 104.45/104.52     (P3(f8(f8(a4,a4),a4),f3(a1,f8(a4,a4)))),
% 104.45/104.52     inference(scs_inference,[],[164,156,1178,369,851,27,26,28,11,18])).
% 104.45/104.52  cnf(1473,plain,
% 104.45/104.52     (P2(f6(a5),f3(f3(a1,a1),f6(a5)))),
% 104.45/104.52     inference(scs_inference,[],[164,156,1178,369,851,1085,1419,560,27,26,28,11,18,8,20])).
% 104.45/104.52  cnf(1490,plain,
% 104.45/104.52     (P2(f3(a1,f3(a1,a1)),f3(f3(a1,a1),f3(a1,a1)))),
% 104.45/104.52     inference(scs_inference,[],[154,493,845,174,172,12,276,22,28])).
% 104.45/104.52  cnf(1496,plain,
% 104.45/104.52     (P3(f8(f8(a4,a5),f6(a5)),f8(a5,f6(a5)))),
% 104.45/104.52     inference(scs_inference,[],[162,156,27])).
% 104.45/104.52  cnf(1498,plain,
% 104.45/104.52     (P3(f3(f8(a4,a5),f6(a5)),f3(a5,f6(a5)))),
% 104.45/104.52     inference(scs_inference,[],[162,156,27,26])).
% 104.45/104.52  cnf(1500,plain,
% 104.45/104.52     (P2(f8(a4,f6(a5)),f3(f3(a1,a1),f6(a5)))),
% 104.45/104.52     inference(scs_inference,[],[162,156,1436,1473,27,26,20])).
% 104.45/104.52  cnf(1510,plain,
% 104.45/104.52     (~P3(a1,f7(a4))),
% 104.45/104.52     inference(scs_inference,[],[156,164,1473,992,28,18])).
% 104.45/104.52  cnf(1512,plain,
% 104.45/104.52     (P1(f6(f8(a1,a1)))),
% 104.45/104.52     inference(scs_inference,[],[156,164,172,1473,992,28,18,8])).
% 104.45/104.52  cnf(1516,plain,
% 104.45/104.52     (P3(f3(a5,a5),f8(a4,f3(a5,a5)))),
% 104.45/104.52     inference(scs_inference,[],[156,164,172,1490,1141,1473,992,28,18,8,21,11])).
% 104.45/104.52  cnf(1525,plain,
% 104.45/104.52     (~P3(f7(a4),a1)),
% 104.45/104.52     inference(scs_inference,[],[1512,1510,9,11])).
% 104.45/104.52  cnf(1527,plain,
% 104.45/104.52     (P3(f8(f8(a4,a4),a4),f8(a4,a4))),
% 104.45/104.52     inference(scs_inference,[],[1512,1469,1510,810,9,11,18])).
% 104.45/104.52  cnf(1529,plain,
% 104.45/104.52     (P3(f8(f7(a4),f7(f7(a4))),a4)),
% 104.45/104.52     inference(scs_inference,[],[1512,1469,1510,810,9,11,18,1010])).
% 104.45/104.52  cnf(1530,plain,
% 104.45/104.52     (P2(f8(a4,f3(a5,a5)),f3(a2,a2))),
% 104.45/104.52     inference(scs_inference,[],[1512,1516,1469,1510,810,308,9,11,18,1010,20])).
% 104.45/104.52  cnf(1543,plain,
% 104.45/104.52     (P1(f7(f7(a4)))),
% 104.45/104.52     inference(scs_inference,[],[1525,100,10])).
% 104.45/104.52  cnf(1549,plain,
% 104.45/104.52     (P3(f8(a4,a4),f8(f8(a4,a4),a4))),
% 104.45/104.52     inference(scs_inference,[],[158,174,1527,1525,100,10,27,26,11])).
% 104.45/104.52  cnf(1551,plain,
% 104.45/104.52     (~P3(f3(a1,f6(a1)),f8(f8(a4,a4),a4))),
% 104.45/104.52     inference(scs_inference,[],[158,174,1527,1525,1231,100,10,27,26,11,18])).
% 104.45/104.52  cnf(1559,plain,
% 104.45/104.52     (P2(f3(a5,f6(a5)),f3(a1,f6(a1)))),
% 104.45/104.52     inference(scs_inference,[],[1467,396,20])).
% 104.45/104.52  cnf(1561,plain,
% 104.45/104.52     (~P3(f8(f8(a4,a4),a4),f3(a1,f6(a1)))),
% 104.45/104.52     inference(scs_inference,[],[1551,1467,396,20,11])).
% 104.45/104.52  cnf(1563,plain,
% 104.45/104.52     (~P3(f6(a1),f8(a4,f7(a4)))),
% 104.45/104.52     inference(scs_inference,[],[1551,1467,351,625,396,20,11,18])).
% 104.45/104.52  cnf(1567,plain,
% 104.45/104.52     (P2(f8(a1,a1),f8(a1,a1))),
% 104.45/104.52     inference(scs_inference,[],[172,1551,1500,1467,351,625,396,20,11,18,19,12])).
% 104.45/104.52  cnf(1569,plain,
% 104.45/104.52     (P2(f3(f8(a1,a1),f3(a1,a1)),f3(f8(a1,a1),f3(a1,a1)))),
% 104.45/104.52     inference(scs_inference,[],[174,1567,28])).
% 104.45/104.52  cnf(1571,plain,
% 104.45/104.52     (P2(f3(a1,a5),a5)),
% 104.45/104.52     inference(scs_inference,[],[174,1567,1406,325,28,20])).
% 104.45/104.52  cnf(1573,plain,
% 104.45/104.52     (P3(f3(a1,a5),f8(a4,a5))),
% 104.45/104.52     inference(scs_inference,[],[174,1567,1450,1406,325,28,20,11])).
% 104.45/104.52  cnf(1575,plain,
% 104.45/104.52     (P3(f8(a4,a4),f3(a1,f8(a4,a4)))),
% 104.45/104.52     inference(scs_inference,[],[174,1549,1567,1450,1469,1406,325,28,20,11,18])).
% 104.45/104.52  cnf(1581,plain,
% 104.45/104.52     (P3(f8(f3(a1,a5),f3(a1,a1)),f8(a5,f3(a1,a1)))),
% 104.45/104.52     inference(scs_inference,[],[160,174,1549,1567,1561,1450,1469,1406,325,28,20,11,18,8,19,27])).
% 104.45/104.52  cnf(1583,plain,
% 104.45/104.52     (P3(f3(f3(a1,a5),f3(a1,a1)),f3(a5,f3(a1,a1)))),
% 104.45/104.52     inference(scs_inference,[],[160,174,1549,1567,1561,1450,1469,1406,325,28,20,11,18,8,19,27,26])).
% 104.45/104.52  cnf(1595,plain,
% 104.45/104.52     (~P3(f8(a4,f7(a4)),f3(f8(a4,a5),f6(a5)))),
% 104.45/104.52     inference(scs_inference,[],[1498,1563,841,750,1530,21,11,18])).
% 104.45/104.52  cnf(1599,plain,
% 104.45/104.52     (P2(f8(a4,f3(a5,a5)),f3(a5,a2))),
% 104.45/104.52     inference(scs_inference,[],[1569,1498,1563,841,750,1530,21,11,18,19,142])).
% 104.45/104.52  cnf(1611,plain,
% 104.45/104.52     (P3(a4,f8(f7(a4),f7(f7(a4))))),
% 104.45/104.52     inference(scs_inference,[],[1529,1559,641,21,11])).
% 104.45/104.52  cnf(1613,plain,
% 104.45/104.52     (~P3(f8(a4,f8(a4,a4)),f3(a1,f6(a1)))),
% 104.45/104.52     inference(scs_inference,[],[1529,1561,1559,369,641,21,11,18])).
% 104.45/104.52  cnf(1627,plain,
% 104.45/104.52     (~P3(f3(a1,f6(a1)),f8(a4,f8(a4,a4)))),
% 104.45/104.52     inference(scs_inference,[],[1613,11])).
% 104.45/104.52  cnf(1636,plain,
% 104.45/104.52     (P3(f8(a1,a5),f8(f3(a1,a1),a5))),
% 104.45/104.52     inference(scs_inference,[],[289,11])).
% 104.45/104.52  cnf(1638,plain,
% 104.45/104.52     (~P3(f8(f8(a4,f7(a4)),f7(a4)),f3(f3(a1,a1),a1))),
% 104.45/104.52     inference(scs_inference,[],[289,460,869,11,18])).
% 104.45/104.52  cnf(1642,plain,
% 104.45/104.52     (P2(f7(f7(a4)),f7(f7(a4)))),
% 104.45/104.52     inference(scs_inference,[],[289,1543,460,869,11,18,8,12])).
% 104.45/104.52  cnf(1646,plain,
% 104.45/104.52     (P3(f8(f3(a5,f6(a5)),f3(a1,a1)),f8(a1,f3(a1,a1)))),
% 104.45/104.52     inference(scs_inference,[],[164,182,174,289,1543,460,1467,869,11,18,8,12,20,27])).
% 104.45/104.52  cnf(1648,plain,
% 104.45/104.52     (P3(f3(f3(a5,f6(a5)),f3(a1,a1)),f3(a1,f3(a1,a1)))),
% 104.45/104.52     inference(scs_inference,[],[164,182,174,289,1543,460,1467,869,11,18,8,12,20,27,26])).
% 104.45/104.52  cnf(1650,plain,
% 104.45/104.52     (P2(f3(a1,f3(a1,a1)),f3(f8(f3(a1,a1),f3(a1,a1)),f3(a1,a1)))),
% 104.45/104.52     inference(scs_inference,[],[164,182,174,289,1543,460,1467,869,11,18,8,12,20,27,26,28])).
% 104.45/104.52  cnf(1652,plain,
% 104.45/104.52     (~P2(f3(a5,a2),x16521)+P2(f8(a4,f3(a5,a5)),x16521)),
% 104.45/104.52     inference(scs_inference,[],[164,182,174,289,1599,1543,460,1467,869,11,18,8,12,20,27,26,28,21])).
% 104.45/104.52  cnf(1674,plain,
% 104.45/104.52     (~P3(x16741,f3(f8(f3(a1,a1),f3(a1,a1)),f3(a1,a1)))+~P2(x16741,f3(a5,a5))+~P2(f3(a5,a2),f3(a1,f3(a1,a1)))),
% 104.45/104.52     inference(scs_inference,[],[182,172,1650,1638,1642,1512,845,11,18,19,21,1652,1372,192,28,12,20])).
% 104.45/104.52  cnf(1679,plain,
% 104.45/104.52     (P3(f3(a1,f3(a1,a1)),f3(f3(a5,f6(a5)),f3(a1,a1)))),
% 104.45/104.52     inference(scs_inference,[],[1648,1573,1571,20,11])).
% 104.45/104.52  cnf(1681,plain,
% 104.45/104.52     (P3(f3(a1,f8(a2,a2)),f8(f8(a4,f7(a4)),f8(a2,a2)))),
% 104.45/104.52     inference(scs_inference,[],[1648,1573,977,556,1571,20,11,18])).
% 104.45/104.52  cnf(1690,plain,
% 104.45/104.52     (P2(f8(f7(a4),f7(f7(a4))),a4)),
% 104.45/104.52     inference(scs_inference,[],[1611,224,20])).
% 104.45/104.52  cnf(1694,plain,
% 104.45/104.52     (P3(f3(f8(a4,a1),f8(a2,a2)),f8(f8(a4,f7(a4)),f8(a2,a2)))),
% 104.45/104.52     inference(scs_inference,[],[1681,1595,1611,519,224,20,11,18])).
% 104.45/104.52  cnf(1705,plain,
% 104.45/104.52     (~P3(f3(f3(a5,f6(a5)),f3(a1,a1)),f8(a4,f7(a4)))),
% 104.45/104.52     inference(scs_inference,[],[1679,808,18])).
% 104.45/104.52  cnf(1707,plain,
% 104.45/104.52     (P3(f8(f8(a4,f7(a4)),f8(a2,a2)),f3(f8(a4,a1),f8(a2,a2)))),
% 104.45/104.52     inference(scs_inference,[],[1679,1694,808,18,11])).
% 104.45/104.52  cnf(1721,plain,
% 104.45/104.52     (P3(f3(a2,f6(a2)),f3(a5,f6(a5)))),
% 104.45/104.52     inference(scs_inference,[],[268,1467,18])).
% 104.45/104.52  cnf(1723,plain,
% 104.45/104.52     (~P3(f8(a4,f7(a4)),f3(f3(a5,f6(a5)),f3(a1,a1)))),
% 104.45/104.52     inference(scs_inference,[],[1705,268,1467,18,11])).
% 104.45/104.52  cnf(1737,plain,
% 104.45/104.52     (~P3(a4,f3(a2,f6(a2)))),
% 104.45/104.52     inference(scs_inference,[],[1721,295,18])).
% 104.45/104.52  cnf(1739,plain,
% 104.45/104.52     (P3(f3(a5,f6(a5)),f3(a2,f6(a2)))),
% 104.45/104.52     inference(scs_inference,[],[1721,295,18,11])).
% 104.45/104.52  cnf(1752,plain,
% 104.45/104.52     (~P3(f3(a1,f8(a4,a4)),f3(a1,f6(a1)))),
% 104.45/104.52     inference(scs_inference,[],[1575,1247,18])).
% 104.45/104.52  cnf(1754,plain,
% 104.45/104.52     (~P3(f3(a2,f6(a2)),a4)),
% 104.45/104.52     inference(scs_inference,[],[1575,1737,1247,18,11])).
% 104.45/104.52  cnf(1767,plain,
% 104.45/104.52     (P3(f3(a5,f6(a5)),f3(a1,f6(a1)))),
% 104.45/104.52     inference(scs_inference,[],[176,198,1739,952,27,26,18])).
% 104.45/104.52  cnf(1771,plain,
% 104.45/104.52     (P1(f6(f8(a4,a4)))),
% 104.45/104.52     inference(scs_inference,[],[176,198,1739,1581,952,27,26,18,11,8])).
% 104.45/104.52  cnf(1777,plain,
% 104.45/104.52     (P2(f3(a1,f8(a4,a4)),f3(f8(f3(a1,a1),f3(a1,a1)),f8(a4,a4)))),
% 104.45/104.52     inference(scs_inference,[],[176,182,198,1752,1739,1581,952,27,26,18,11,8,19,9,28])).
% 104.45/104.52  cnf(1786,plain,
% 104.45/104.52     (~P3(f3(a1,a4),f3(a5,f6(a5)))),
% 104.45/104.52     inference(scs_inference,[],[1767,1707,1303,975,20,18])).
% 104.45/104.52  cnf(1797,plain,
% 104.45/104.52     (P2(f8(a4,f8(a4,a4)),f3(f8(f3(a1,a1),f3(a1,a1)),f8(a4,a4)))),
% 104.45/104.52     inference(scs_inference,[],[1777,867,20])).
% 104.45/104.52  cnf(1799,plain,
% 104.45/104.52     (P3(f3(a5,f3(a1,a1)),f3(f3(a1,a5),f3(a1,a1)))),
% 104.45/104.52     inference(scs_inference,[],[1583,1777,867,20,11])).
% 104.45/104.52  cnf(1801,plain,
% 104.45/104.52     (P2(f3(a4,a4),f3(a4,a4))),
% 104.45/104.52     inference(scs_inference,[],[200,1583,1777,867,20,11,12])).
% 104.45/104.52  cnf(1813,plain,
% 104.45/104.52     (P2(f8(a4,a4),f8(a4,a4))),
% 104.45/104.52     inference(scs_inference,[],[198,1786,491,1525,18,11,12])).
% 104.45/104.52  cnf(1826,plain,
% 104.45/104.52     (P3(f3(a1,f6(a5)),f3(f3(a5,f6(a5)),f6(a5)))),
% 104.45/104.52     inference(scs_inference,[],[1463,1125,875,18,11])).
% 104.45/104.52  cnf(1856,plain,
% 104.45/104.52     (P3(f3(a4,f8(a2,a2)),f3(f8(a4,f7(a4)),f8(a2,a2)))),
% 104.45/104.52     inference(scs_inference,[],[674,877,1525,18,11])).
% 104.45/104.52  cnf(1866,plain,
% 104.45/104.52     (~P3(f7(a4),f3(f6(a1),f6(f6(a1))))),
% 104.45/104.52     inference(scs_inference,[],[353,1525,18])).
% 104.45/104.52  cnf(1876,plain,
% 104.45/104.52     (P3(f8(f3(a1,f6(a1)),f7(a4)),f8(a1,f7(a4)))),
% 104.45/104.52     inference(scs_inference,[],[946,1856,674,18,11])).
% 104.45/104.52  cnf(1882,plain,
% 104.45/104.52     (P2(f3(a1,f3(a4,a4)),f3(f8(f8(a1,a1),f8(a1,a1)),f3(a4,a4)))),
% 104.45/104.52     inference(scs_inference,[],[206,200,1723,946,1856,674,1771,18,11,8,19,28])).
% 104.45/104.52  cnf(1890,plain,
% 104.45/104.52     (P2(a4,f8(a4,a4))),
% 104.45/104.52     inference(scs_inference,[],[1813,1190,20])).
% 104.45/104.52  cnf(1892,plain,
% 104.45/104.52     (~P3(f7(a4),f3(f7(a4),f6(f7(a4))))),
% 104.45/104.52     inference(scs_inference,[],[1813,734,1190,1525,20,18])).
% 104.45/104.52  cnf(1898,plain,
% 104.45/104.52     (P2(f3(a1,f8(a4,a4)),f3(f8(f8(a1,a1),f8(a1,a1)),f8(a4,a4)))),
% 104.45/104.52     inference(scs_inference,[],[206,198,1882,1866,1813,734,1190,1525,20,18,11,19,28])).
% 104.45/104.52  cnf(1900,plain,
% 104.45/104.52     (P2(f8(a4,a4),f3(f8(f8(a1,a1),f8(a1,a1)),f8(a4,a4)))),
% 104.45/104.52     inference(scs_inference,[],[1898,810,20])).
% 104.45/104.52  cnf(1902,plain,
% 104.45/104.52     (P2(f8(f7(a4),f7(f7(a4))),f8(a4,a4))),
% 104.45/104.52     inference(scs_inference,[],[1898,1890,1690,810,20,21])).
% 104.45/104.52  cnf(1906,plain,
% 104.45/104.52     (P3(f8(a1,f3(a1,a1)),f8(f3(a5,f6(a5)),f3(a1,a1)))),
% 104.45/104.52     inference(scs_inference,[],[1898,1646,1876,1890,946,1690,810,20,21,18,11])).
% 104.45/104.52  cnf(1916,plain,
% 104.45/104.52     (~P3(f3(f7(a4),f6(f7(a4))),f7(a4))),
% 104.45/104.52     inference(scs_inference,[],[1906,1892,1646,18,11])).
% 104.45/104.52  cnf(1918,plain,
% 104.45/104.52     (P2(f3(f8(a5,a5),f8(a5,a5)),f3(f8(a5,a5),f8(a5,a5)))),
% 104.45/104.52     inference(scs_inference,[],[1906,1892,1646,317,18,11,12])).
% 104.45/104.52  cnf(1930,plain,
% 104.45/104.52     (~P3(a4,f8(a4,f3(a1,a1)))),
% 104.45/104.52     inference(scs_inference,[],[198,204,651,361,27,26,18])).
% 104.45/104.52  cnf(1932,plain,
% 104.45/104.52     (P3(f8(a1,f8(a2,a2)),f8(f8(a4,a1),f8(a2,a2)))),
% 104.45/104.52     inference(scs_inference,[],[198,204,517,651,361,27,26,18,11])).
% 104.45/104.52  cnf(1949,plain,
% 104.45/104.52     (P2(f8(a4,f8(a4,a4)),f3(f8(f8(a1,a1),f8(a1,a1)),f8(a4,a4)))),
% 104.45/104.52     inference(scs_inference,[],[1932,1930,1898,517,867,18,11,20])).
% 104.45/104.52  cnf(1975,plain,
% 104.45/104.52     (P2(a4,f3(f8(f8(a1,a1),f8(a1,a1)),f8(a4,a4)))),
% 104.45/104.52     inference(scs_inference,[],[1900,1890,1512,12,21])).
% 104.45/104.52  cnf(1994,plain,
% 104.45/104.52     (P3(f3(a4,f7(a4)),f3(f8(a4,f7(a4)),f7(a4)))),
% 104.45/104.52     inference(scs_inference,[],[214,1949,847,1681,1707,20,18,11])).
% 104.45/104.52  cnf(2010,plain,
% 104.45/104.52     (P2(f8(f8(a4,a4),a4),f3(f8(f3(a1,a1),f3(a1,a1)),f8(a4,a4)))),
% 104.45/104.52     inference(scs_inference,[],[214,1797,20])).
% 104.45/104.52  cnf(2043,plain,
% 104.45/104.52     (P3(f8(a5,f6(a5)),f8(f8(a4,a5),f6(a5)))),
% 104.45/104.52     inference(scs_inference,[],[1994,1496,847,18,11])).
% 104.45/104.52  cnf(2086,plain,
% 104.45/104.52     (P2(f3(f3(a5,f6(a5)),f6(a5)),f3(f3(a1,a1),f6(a5)))),
% 104.45/104.52     inference(scs_inference,[],[212,1826,1419,260,28,20])).
% 104.45/104.52  cnf(2100,plain,
% 104.45/104.52     (P3(f8(a4,a5),f3(f3(a1,a1),a5))),
% 104.45/104.52     inference(scs_inference,[],[1289,960,1525,18,11])).
% 104.45/104.52  cnf(2128,plain,
% 104.45/104.52     (P3(f3(a1,a5),f3(f3(a1,a1),a5))),
% 104.45/104.52     inference(scs_inference,[],[2100,1573,18])).
% 104.45/104.52  cnf(2130,plain,
% 104.45/104.52     (P3(f3(a4,a4),f8(a4,f3(a4,a4)))),
% 104.45/104.52     inference(scs_inference,[],[2100,431,1573,18,11])).
% 104.45/104.52  cnf(2146,plain,
% 104.45/104.52     (P2(f8(a4,f3(a4,a4)),f3(a4,a4))),
% 104.45/104.52     inference(scs_inference,[],[2130,1801,20])).
% 104.45/104.52  cnf(2148,plain,
% 104.45/104.52     (P3(f3(a1,f3(a4,a4)),f8(a4,f3(a4,a4)))),
% 104.45/104.53     inference(scs_inference,[],[2130,427,1801,20,18])).
% 104.45/104.53  cnf(2150,plain,
% 104.45/104.53     (P3(f3(a5,a5),f3(a1,f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[2130,1137,427,1801,20,18,11])).
% 104.45/104.53  cnf(2175,plain,
% 104.45/104.53     (P3(f8(a4,f3(a4,a4)),f3(a1,f3(a4,a4)))),
% 104.45/104.53     inference(scs_inference,[],[2148,1091,2146,454,1525,21,18,11])).
% 104.45/104.53  cnf(2177,plain,
% 104.45/104.53     (P2(f8(a4,a4),f3(f8(f3(a1,a1),f3(a1,a1)),f8(a4,a4)))),
% 104.45/104.53     inference(scs_inference,[],[2148,2010,1091,2146,1527,454,1525,21,18,11,20])).
% 104.45/104.53  cnf(2181,plain,
% 104.45/104.53     (P2(f3(a4,f8(a5,a5)),f3(a4,f8(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[224,226,2148,2010,1091,2146,1527,454,1525,299,21,18,11,20,19,28])).
% 104.45/104.53  cnf(2199,plain,
% 104.45/104.53     (P3(a1,f3(f3(a5,a5),f6(f3(a5,a5))))),
% 104.45/104.53     inference(scs_inference,[],[234,2181,441,1143,18,19,11])).
% 104.45/104.53  cnf(2212,plain,
% 104.45/104.53     (P2(f3(a1,f3(a5,a5)),f3(f3(a1,a1),f3(a2,a2)))),
% 104.45/104.53     inference(scs_inference,[],[2150,863,20])).
% 104.45/104.53  cnf(2216,plain,
% 104.45/104.53     (~P3(f7(a4),f3(a4,f6(a4)))),
% 104.45/104.53     inference(scs_inference,[],[2177,2150,1194,863,1890,1525,20,21,18])).
% 104.45/104.53  cnf(2239,plain,
% 104.45/104.53     (P3(f8(a4,a1),f3(f6(a5),f6(f6(a5))))),
% 104.45/104.53     inference(scs_inference,[],[236,1335,925,18,11])).
% 104.45/104.53  cnf(2241,plain,
% 104.45/104.53     (P2(f8(f8(a4,a4),a4),f8(a4,a4))),
% 104.45/104.53     inference(scs_inference,[],[236,1335,1549,925,1813,18,11,20])).
% 104.45/104.53  cnf(2247,plain,
% 104.45/104.53     (~P3(f7(a4),f3(f3(a1,a1),f6(f3(a1,a1))))),
% 104.45/104.53     inference(scs_inference,[],[653,1525,18])).
% 104.45/104.53  cnf(2249,plain,
% 104.45/104.53     (~P3(f3(a4,f6(a4)),f7(a4))),
% 104.45/104.53     inference(scs_inference,[],[2216,653,1525,18,11])).
% 104.45/104.53  cnf(2268,plain,
% 104.45/104.53     (P3(f3(a1,a1),f3(f6(a2),f6(f6(a2))))),
% 104.45/104.53     inference(scs_inference,[],[232,236,581,1301,1490,398,20,12,18,11])).
% 104.45/104.53  cnf(2287,plain,
% 104.45/104.53     (P2(f6(a2),f6(a2))),
% 104.45/104.53     inference(scs_inference,[],[2241,2128,2247,291,1469,260,20,18,11,12])).
% 104.45/104.53  cnf(2291,plain,
% 104.45/104.53     (~P3(f7(a4),f3(a1,a1))),
% 104.45/104.53     inference(scs_inference,[],[2247,1159,18])).
% 104.45/104.53  cnf(2293,plain,
% 104.45/104.53     (P3(f8(a4,a1),f3(f8(a5,a5),f6(f8(a5,a5))))),
% 104.45/104.53     inference(scs_inference,[],[1256,2247,1159,18,11])).
% 104.45/104.53  cnf(2317,plain,
% 104.45/104.53     (P3(a5,f3(f3(a1,a1),a5))),
% 104.45/104.53     inference(scs_inference,[],[1636,289,329,18,11])).
% 104.45/104.53  cnf(2329,plain,
% 104.45/104.53     (~P3(f7(a4),f3(a1,f3(a1,a1)))),
% 104.45/104.53     inference(scs_inference,[],[2287,1337,2291,645,20,18])).
% 104.45/104.53  cnf(2341,plain,
% 104.45/104.53     (P3(f8(a4,a1),f3(f8(a1,a1),f6(f8(a1,a1))))),
% 104.45/104.53     inference(scs_inference,[],[236,1694,1101,904,1650,20,18,11])).
% 104.45/104.53  cnf(2345,plain,
% 104.45/104.53     (P2(a2,a2)),
% 104.45/104.53     inference(scs_inference,[],[236,1916,1694,1101,904,1650,3,20,18,11,19,12])).
% 104.45/104.53  cnf(2434,plain,
% 104.45/104.53     (P2(f3(f3(a1,a1),a5),a5)),
% 104.45/104.53     inference(scs_inference,[],[2317,325,20])).
% 104.45/104.53  cnf(2438,plain,
% 104.45/104.53     (P3(f8(a4,a1),f3(f6(a1),f6(f6(a1))))),
% 104.45/104.53     inference(scs_inference,[],[2317,1648,2329,660,325,20,18,11])).
% 104.45/104.53  cnf(2449,plain,
% 104.45/104.53     (~P3(f8(f7(a4),f7(f7(a4))),f6(a1))),
% 104.45/104.53     inference(scs_inference,[],[2434,1611,1370,2287,554,212,20,21,18])).
% 104.45/104.53  cnf(2464,plain,
% 104.45/104.53     (P3(a2,f3(a1,a2))),
% 104.45/104.53     inference(scs_inference,[],[264,1799,1583,18,11])).
% 104.45/104.53  cnf(2485,plain,
% 104.45/104.53     (P2(f3(a1,a2),a2)),
% 104.45/104.53     inference(scs_inference,[],[254,2464,2345,299,28,20])).
% 104.45/104.53  cnf(2487,plain,
% 104.45/104.53     (P3(f8(a4,a2),f3(a1,a2))),
% 104.45/104.53     inference(scs_inference,[],[254,266,2464,2345,299,28,20,18])).
% 104.45/104.53  cnf(2493,plain,
% 104.45/104.53     (P2(f3(a1,a2),f3(f8(a1,a1),a5))),
% 104.45/104.53     inference(scs_inference,[],[254,266,2449,2464,2345,299,28,20,18,19,11,287])).
% 104.45/104.53  cnf(2495,plain,
% 104.45/104.53     (P2(f3(f3(a1,a2),f6(a2)),f3(f3(f8(a1,a1),a5),f6(a2)))),
% 104.45/104.53     inference(scs_inference,[],[260,2493,28])).
% 104.45/104.53  cnf(2499,plain,
% 104.45/104.53     (~P3(f8(f7(a4),f7(f7(a4))),f8(a4,a1))),
% 104.45/104.53     inference(scs_inference,[],[260,2438,2493,1611,585,279,28,20,18])).
% 104.45/104.53  cnf(2501,plain,
% 104.45/104.53     (P3(f3(a1,a2),f8(a4,a2))),
% 104.45/104.53     inference(scs_inference,[],[260,2487,2438,2493,1611,585,279,28,20,18,11])).
% 104.45/104.53  cnf(2516,plain,
% 104.45/104.53     (P2(f3(a5,a5),f3(a5,a5))),
% 104.45/104.53     inference(scs_inference,[],[2499,2043,1496,505,297,18,11,8,12])).
% 104.45/104.53  cnf(2518,plain,
% 104.45/104.53     (P2(f3(f3(a1,f6(a1)),a2),a2)),
% 104.45/104.53     inference(scs_inference,[],[2499,2043,2485,1496,1243,505,297,18,11,8,12,21])).
% 104.45/104.53  cnf(2526,plain,
% 104.45/104.53     (~P3(f3(a5,a5),f3(a1,f3(a2,a2)))),
% 104.45/104.53     inference(scs_inference,[],[260,2516,515,28,20])).
% 104.45/104.53  cnf(2528,plain,
% 104.45/104.53     (~P3(f3(a5,a5),f3(f8(a4,a1),f3(a2,a2)))),
% 104.45/104.53     inference(scs_inference,[],[260,2516,477,515,28,20,18])).
% 104.45/104.53  cnf(2532,plain,
% 104.45/104.53     (P3(a1,f3(a2,f6(a2)))),
% 104.45/104.53     inference(scs_inference,[],[268,260,2516,477,515,28,20,18,19,11])).
% 104.45/104.53  cnf(2534,plain,
% 104.45/104.53     (~P3(f3(a5,a5),f3(f3(a1,f6(a1)),f3(a2,a2)))),
% 104.45/104.53     inference(scs_inference,[],[268,260,2516,477,515,28,20,18,19,11,962])).
% 104.45/104.53  cnf(2536,plain,
% 104.45/104.53     (~P3(f3(a5,a5),f3(f3(a1,a1),f3(a2,a2)))),
% 104.45/104.53     inference(scs_inference,[],[268,260,2516,477,515,28,20,18,19,11,962,764])).
% 104.45/104.53  cnf(2540,plain,
% 104.45/104.53     (~P3(f3(a5,a5),f3(a5,a2))),
% 104.45/104.53     inference(scs_inference,[],[268,260,2516,477,515,28,20,18,19,11,962,764,1674,196])).
% 104.45/104.53  cnf(2542,plain,
% 104.45/104.53     (~P3(f3(a5,a5),f8(a4,f3(a2,a2)))),
% 104.45/104.53     inference(scs_inference,[],[268,260,2516,477,515,28,20,18,19,11,962,764,1674,196,716])).
% 104.45/104.53  cnf(2546,plain,
% 104.45/104.53     (P3(f3(f3(a1,a2),f6(a2)),f3(a2,f6(a2)))),
% 104.45/104.53     inference(scs_inference,[],[264,260,27,26])).
% 104.45/104.53  cnf(2550,plain,
% 104.45/104.53     (~P3(f3(a1,f3(a2,a2)),f3(a5,a5))),
% 104.45/104.53     inference(scs_inference,[],[264,260,2526,1975,629,27,26,20,11])).
% 104.45/104.53  cnf(2552,plain,
% 104.45/104.53     (~P3(f3(a1,f3(a5,a5)),f3(a1,f3(a2,a2)))),
% 104.45/104.53     inference(scs_inference,[],[264,260,2526,2150,1975,629,27,26,20,11,18])).
% 104.45/104.53  cnf(2565,plain,
% 104.45/104.53     (P2(f8(a4,a2),a2)),
% 104.45/104.53     inference(scs_inference,[],[2501,2485,20])).
% 104.45/104.53  cnf(2569,plain,
% 104.45/104.53     (P3(f3(a2,f6(a2)),f3(f3(a1,a2),f6(a2)))),
% 104.45/104.53     inference(scs_inference,[],[2501,2546,2485,1737,20,18,11])).
% 104.45/104.53  cnf(2588,plain,
% 104.45/104.53     (P3(a1,f3(f3(a1,a2),f6(a2)))),
% 104.45/104.53     inference(scs_inference,[],[260,281,262,2569,2532,7,2516,27,26,20,18])).
% 104.45/104.53  cnf(2590,plain,
% 104.45/104.53     (~P3(f3(f3(a1,a1),f3(a2,a2)),f3(a5,a5))),
% 104.45/104.53     inference(scs_inference,[],[260,281,262,2536,2569,2532,7,2516,27,26,20,18,11])).
% 104.45/104.53  cnf(2607,plain,
% 104.45/104.53     (~P3(f3(f3(a1,a2),f6(a2)),f8(a4,f7(a4)))),
% 104.45/104.53     inference(scs_inference,[],[2341,2588,136,777,20,18])).
% 104.45/104.53  cnf(2624,plain,
% 104.45/104.53     (P2(f8(a4,a2),f3(a1,a2))),
% 104.45/104.53     inference(scs_inference,[],[2565,2501,2493,285,20,21])).
% 104.45/104.53  cnf(2626,plain,
% 104.45/104.53     (~P3(f8(f7(a4),f7(f7(a4))),a1)),
% 104.45/104.53     inference(scs_inference,[],[283,2565,2501,2499,2493,285,20,21,18])).
% 104.45/104.53  cnf(2634,plain,
% 104.45/104.53     (P3(f3(a2,f6(a2)),f8(a4,a1))),
% 104.45/104.53     inference(scs_inference,[],[268,283,18])).
% 104.45/104.53  cnf(2636,plain,
% 104.45/104.53     (P3(f3(f3(a1,f6(a1)),f7(a4)),f3(a1,f7(a4)))),
% 104.45/104.53     inference(scs_inference,[],[268,283,944,18,11])).
% 104.45/104.53  cnf(2649,plain,
% 104.45/104.53     (P3(f3(f3(a1,f6(a1)),f7(a4)),f7(a4))),
% 104.45/104.53     inference(scs_inference,[],[2636,726,18])).
% 104.45/104.53  cnf(2651,plain,
% 104.45/104.53     (~P3(f3(f3(a1,f6(a1)),f3(a2,a2)),f3(a5,a5))),
% 104.45/104.53     inference(scs_inference,[],[2534,2636,726,18,11])).
% 104.45/104.53  cnf(2672,plain,
% 104.45/104.53     (~P3(f3(a4,f6(a4)),f3(f3(a1,f6(a1)),f7(a4)))),
% 104.45/104.53     inference(scs_inference,[],[2249,2649,2518,5,21,18])).
% 104.45/104.53  cnf(2674,plain,
% 104.45/104.53     (P3(f8(a4,a1),f3(a2,f6(a2)))),
% 104.45/104.53     inference(scs_inference,[],[2634,2249,2649,2518,5,21,18,11])).
% 104.45/104.53  cnf(2678,plain,
% 104.45/104.53     (P2(f3(a1,a2),a5)),
% 104.45/104.53     inference(scs_inference,[],[2634,2607,2249,2649,2518,5,21,18,11,19,1119])).
% 104.45/104.53  cnf(2684,plain,
% 104.45/104.53     (P3(a1,f3(f8(a5,a5),f6(f8(a5,a5))))),
% 104.45/104.53     inference(scs_inference,[],[283,2293,18])).
% 104.45/104.53  cnf(2697,plain,
% 104.45/104.53     (P2(f3(a2,a2),f3(f3(a1,a2),a2))),
% 104.45/104.53     inference(scs_inference,[],[285,3,28])).
% 104.45/104.53  cnf(2701,plain,
% 104.45/104.53     (~P3(f8(a4,f3(a5,a5)),f8(a4,f3(a2,a2)))),
% 104.45/104.53     inference(scs_inference,[],[285,2674,2542,1516,611,3,28,20,18])).
% 104.45/104.53  cnf(2703,plain,
% 104.45/104.53     (P3(f3(f3(a1,f6(a1)),f6(a5)),f3(a1,f6(a5)))),
% 104.45/104.53     inference(scs_inference,[],[285,2674,2542,1516,996,611,3,28,20,18,11])).
% 104.45/104.53  cnf(2709,plain,
% 104.45/104.53     (P2(f3(a1,f6(a5)),f6(a5))),
% 104.45/104.53     inference(scs_inference,[],[2703,1434,20])).
% 104.45/104.53  cnf(2711,plain,
% 104.45/104.53     (~P3(f3(a4,f6(a4)),f3(a1,f7(a4)))),
% 104.45/104.53     inference(scs_inference,[],[2703,2672,944,1434,20,18])).
% 104.45/104.53  cnf(2713,plain,
% 104.45/104.53     (~P3(f8(a4,f3(a2,a2)),f8(a4,f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[2701,2703,2672,944,1434,20,18,11])).
% 104.45/104.53  cnf(2725,plain,
% 104.45/104.53     (P3(a1,f3(f6(a5),f6(f6(a5))))),
% 104.45/104.53     inference(scs_inference,[],[283,2239,18])).
% 104.45/104.53  cnf(2729,plain,
% 104.45/104.53     (P3(f3(f3(a2,f6(a2)),f3(a2,a2)),f3(a1,f3(a2,a2)))),
% 104.45/104.53     inference(scs_inference,[],[268,283,2239,1325,82,18,11,26])).
% 104.45/104.53  cnf(2748,plain,
% 104.45/104.53     (~P3(f3(a5,a5),f3(f3(a1,a2),a2))),
% 104.45/104.53     inference(scs_inference,[],[2711,2569,2697,1754,7,2516,21,18,11,20])).
% 104.45/104.53  cnf(2755,plain,
% 104.45/104.53     (~P3(f8(a4,f3(a2,a2)),f3(a5,a5))),
% 104.45/104.53     inference(scs_inference,[],[2713,2268,1516,152,20,18])).
% 104.45/104.53  cnf(2757,plain,
% 104.45/104.53     (P3(f3(a1,f3(a2,a2)),f3(f3(a2,f6(a2)),f3(a2,a2)))),
% 104.45/104.53     inference(scs_inference,[],[2713,2729,2268,1516,152,20,18,11])).
% 104.45/104.53  cnf(2765,plain,
% 104.45/104.53     (P3(a1,f3(f6(a1),f6(f6(a1))))),
% 104.45/104.53     inference(scs_inference,[],[283,2757,2438,694,20,18])).
% 104.45/104.53  cnf(2786,plain,
% 104.45/104.53     (~P3(f3(f3(a2,f6(a2)),f3(a2,a2)),f3(a5,a5))),
% 104.45/104.53     inference(scs_inference,[],[2550,2757,2624,2678,21,18])).
% 104.45/104.53  cnf(2788,plain,
% 104.45/104.53     (P3(f3(f3(a1,a2),f6(a2)),a1)),
% 104.45/104.53     inference(scs_inference,[],[2550,2757,2588,2624,2678,21,18,11])).
% 104.45/104.53  cnf(2796,plain,
% 104.45/104.53     (P3(f3(a1,f3(a5,a5)),f3(f8(a4,a1),f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[283,297,27,26])).
% 104.45/104.53  cnf(2800,plain,
% 104.45/104.53     (~P3(f3(a1,a1),f8(f7(a4),f7(f7(a4))))),
% 104.45/104.53     inference(scs_inference,[],[283,285,297,1529,383,27,26,28,18])).
% 104.45/104.53  cnf(2816,plain,
% 104.45/104.53     (P3(f3(f3(a1,a2),f6(a2)),f8(a4,a1))),
% 104.45/104.53     inference(scs_inference,[],[283,2788,18])).
% 104.45/104.53  cnf(2818,plain,
% 104.45/104.53     (P3(f3(f8(a4,a1),f3(a5,a5)),f3(a1,f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[283,2796,2788,18,11])).
% 104.45/104.53  cnf(2830,plain,
% 104.45/104.53     (P2(f8(a4,a1),f3(f3(f8(a1,a1),a5),f6(a2)))),
% 104.45/104.53     inference(scs_inference,[],[2816,2495,20])).
% 104.45/104.53  cnf(2836,plain,
% 104.45/104.53     (P1(f6(f8(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[299,2800,2818,2816,2796,2495,20,18,11,8])).
% 104.45/104.53  cnf(2853,plain,
% 104.45/104.53     (P2(f3(f3(a5,a5),f6(f3(a5,a5))),f3(a1,a1))),
% 104.45/104.53     inference(scs_inference,[],[2199,154,20])).
% 104.45/104.53  cnf(2855,plain,
% 104.45/104.53     (~P3(f8(a4,a1),f8(a4,a4))),
% 104.45/104.53     inference(scs_inference,[],[293,2199,1190,154,20,18])).
% 104.45/104.53  cnf(2881,plain,
% 104.45/104.53     (P3(f8(f8(f3(a1,a1),a5),f8(a5,a5)),f8(f8(a1,a5),f8(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[289,299,27])).
% 104.45/104.53  cnf(2889,plain,
% 104.45/104.53     (P3(f3(f8(a4,a1),f3(a5,a5)),f3(a5,a5))),
% 104.45/104.53     inference(scs_inference,[],[289,299,2709,2674,2818,1137,2830,27,26,28,20,18])).
% 104.45/104.53  cnf(2898,plain,
% 104.45/104.53     (P2(f3(f8(a4,a1),f3(a5,a5)),f3(f3(a1,a1),f3(a2,a2)))),
% 104.45/104.53     inference(scs_inference,[],[2796,2212,20])).
% 104.45/104.53  cnf(2900,plain,
% 104.45/104.53     (~P3(f8(a4,a1),f3(a1,a4))),
% 104.45/104.53     inference(scs_inference,[],[293,1192,2796,2212,20,18])).
% 104.45/104.53  cnf(2906,plain,
% 104.45/104.53     (P1(f6(f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[293,297,2836,2626,1192,2796,2212,20,18,11,9,8])).
% 104.45/104.53  cnf(2914,plain,
% 104.45/104.53     (P3(f3(a5,a5),f3(f8(a4,a1),f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[2889,2487,938,18,11])).
% 104.45/104.53  cnf(2934,plain,
% 104.45/104.53     (P2(f6(f3(a5,a5)),f6(f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[307,299,2900,2906,2914,2528,28,18,11,12])).
% 104.45/104.53  cnf(2940,plain,
% 104.45/104.53     (~P3(f8(a4,a1),f8(a4,f8(a4,a4)))),
% 104.45/104.53     inference(scs_inference,[],[2855,814,18])).
% 104.45/104.53  cnf(2944,plain,
% 104.45/104.53     (P3(f8(f8(a1,a5),f8(a5,a5)),f8(f8(f3(a1,a1),a5),f8(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[2934,2881,2855,814,18,19,11])).
% 104.45/104.53  cnf(2959,plain,
% 104.45/104.53     (~P3(f8(a4,f8(a4,a4)),f8(a4,a1))),
% 104.45/104.53     inference(scs_inference,[],[303,299,2940,2944,2881,27,26,18,11])).
% 104.45/104.53  cnf(3007,plain,
% 104.45/104.53     (P2(f3(f8(a5,a5),f6(f8(a5,a5))),f3(a1,a1))),
% 104.45/104.53     inference(scs_inference,[],[297,308,2684,154,28,20])).
% 104.45/104.53  cnf(3009,plain,
% 104.45/104.53     (P2(f3(a5,f6(a5)),a1)),
% 104.45/104.53     inference(scs_inference,[],[297,308,315,2684,1559,154,28,20,21])).
% 104.45/104.53  cnf(3046,plain,
% 104.45/104.53     (P2(f3(f6(a5),f6(f6(a5))),f3(a1,a1))),
% 104.45/104.53     inference(scs_inference,[],[2725,154,20])).
% 104.45/104.53  cnf(3050,plain,
% 104.45/104.53     (~P3(f3(a1,f3(a2,a2)),f3(a1,f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[3009,2725,2552,479,154,20,21,11])).
% 104.45/104.53  cnf(3052,plain,
% 104.45/104.53     (~P3(f3(a1,f3(a2,a2)),f3(f8(a4,a1),f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[3009,2725,2552,2818,479,154,20,21,11,18])).
% 104.45/104.53  cnf(3072,plain,
% 104.45/104.53     (P2(f3(f8(a4,a1),f3(a5,a5)),f3(a2,a2))),
% 104.45/104.53     inference(scs_inference,[],[308,2914,20])).
% 104.45/104.53  cnf(3074,plain,
% 104.45/104.53     (~P3(f3(f8(a4,a1),f3(a5,a5)),f8(a4,f3(a2,a2)))),
% 104.45/104.53     inference(scs_inference,[],[308,2914,2542,20,18])).
% 104.45/104.53  cnf(3078,plain,
% 104.45/104.53     (P2(f3(f8(a4,a1),f3(a5,a5)),f3(a5,a2))),
% 104.45/104.53     inference(scs_inference,[],[308,3052,2914,2542,20,18,11,142])).
% 104.45/104.53  cnf(3087,plain,
% 104.45/104.53     (P2(f3(f6(a1),f6(f6(a1))),a1)),
% 104.45/104.53     inference(scs_inference,[],[2765,33,20])).
% 104.45/104.53  cnf(3113,plain,
% 104.45/104.53     (P2(f3(f3(a5,a5),a5),f3(f3(a5,a2),a5))),
% 104.45/104.53     inference(scs_inference,[],[307,3074,2590,2889,2898,4,18,19,11,28])).
% 104.45/104.53  cnf(3120,plain,
% 104.45/104.53     (P2(f3(a5,f3(a5,a5)),f3(f3(a5,a2),a5))),
% 104.45/104.53     inference(scs_inference,[],[3113,738,20])).
% 104.45/104.53  cnf(3135,plain,
% 104.45/104.53     (P2(f3(a2,f6(a2)),f3(a1,f6(a1)))),
% 104.45/104.53     inference(scs_inference,[],[2532,396,20])).
% 104.45/104.53  cnf(3137,plain,
% 104.45/104.53     (P2(f3(a2,f6(a2)),a1)),
% 104.45/104.53     inference(scs_inference,[],[315,2532,396,20,21])).
% 104.45/104.53  cnf(3149,plain,
% 104.45/104.53     (~P3(f3(f3(a2,f6(a2)),f3(a2,a2)),f8(a4,f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[3135,2786,1141,535,21,18])).
% 104.45/104.53  cnf(3158,plain,
% 104.45/104.53     (P3(f3(f6(a1),f6(f6(a1))),f3(a1,a1))),
% 104.45/104.53     inference(scs_inference,[],[327,353,18])).
% 104.45/104.53  cnf(3160,plain,
% 104.45/104.53     (~P3(f8(a4,f3(a5,a5)),f3(f3(a2,f6(a2)),f3(a2,a2)))),
% 104.45/104.53     inference(scs_inference,[],[327,3149,353,18,11])).
% 104.45/104.53  cnf(3169,plain,
% 104.45/104.53     (P2(f3(f3(a1,f6(a1)),f3(a2,a2)),f3(a1,f3(a2,a2)))),
% 104.45/104.53     inference(scs_inference,[],[315,82,28])).
% 104.45/104.53  cnf(3185,plain,
% 104.45/104.53     (~P3(f3(f8(a4,a1),f3(a2,a2)),f3(a5,a5))),
% 104.45/104.53     inference(scs_inference,[],[3160,3135,2528,2757,748,21,18,11])).
% 104.45/104.53  cnf(3194,plain,
% 104.45/104.53     (P3(f3(f3(a4,a4),f6(f3(a4,a4))),f3(a1,a1))),
% 104.45/104.53     inference(scs_inference,[],[327,433,18])).
% 104.45/104.53  cnf(3196,plain,
% 104.45/104.53     (P3(f8(a4,a1),f3(f3(a1,a2),f6(a2)))),
% 104.45/104.53     inference(scs_inference,[],[327,2816,433,18,11])).
% 104.45/104.53  cnf(3208,plain,
% 104.45/104.53     (~P3(f3(a1,f8(a4,a4)),f8(a4,a1))),
% 104.45/104.53     inference(scs_inference,[],[2959,1178,18])).
% 104.45/104.53  cnf(3216,plain,
% 104.45/104.53     (P2(f3(f8(a4,a1),f3(a5,a5)),f3(f3(a1,a2),a2))),
% 104.45/104.53     inference(scs_inference,[],[3072,2697,21])).
% 104.45/104.53  cnf(3218,plain,
% 104.45/104.53     (~P3(f3(f3(a1,f6(a1)),f3(a2,a2)),f3(f8(a4,a1),f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[2651,3072,2889,2697,21,18])).
% 104.45/104.53  cnf(3220,plain,
% 104.45/104.53     (P3(f3(a1,a1),f3(f3(a4,a4),f6(f3(a4,a4))))),
% 104.45/104.53     inference(scs_inference,[],[3194,2651,3072,2889,2697,21,18,11])).
% 104.45/104.53  cnf(3224,plain,
% 104.45/104.53     (P2(f3(a1,f3(a2,a2)),f3(a1,f3(a2,a2)))),
% 104.45/104.53     inference(scs_inference,[],[3194,3208,3169,2651,3072,2889,615,2697,21,18,11,19,20])).
% 104.45/104.53  cnf(3226,plain,
% 104.45/104.53     (P3(f3(f3(a2,a2),f6(f3(a2,a2))),f3(a1,a1))),
% 104.45/104.53     inference(scs_inference,[],[327,491,18])).
% 104.45/104.53  cnf(3232,plain,
% 104.45/104.53     (P2(f3(a5,f6(a1)),f3(a5,f6(a1)))),
% 104.45/104.53     inference(scs_inference,[],[325,327,3218,491,485,40,18,11,8,28])).
% 104.45/104.53  cnf(3234,plain,
% 104.45/104.53     (~P2(f3(f3(a1,a2),a2),f3(f8(a4,a1),f3(a5,a5)))+P3(f3(f3(a1,a2),a2),f3(f8(a4,a1),f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[325,327,3218,3216,491,485,40,18,11,8,28,19])).
% 104.45/104.53  cnf(3242,plain,
% 104.45/104.53     (~P3(f6(a1),f8(a4,f8(a4,a4)))),
% 104.45/104.53     inference(scs_inference,[],[3196,1627,349,544,20,18])).
% 104.45/104.53  cnf(3246,plain,
% 104.45/104.53     (P3(f3(a1,a1),f3(f3(a2,a2),f6(f3(a2,a2))))),
% 104.45/104.53     inference(scs_inference,[],[3226,3196,3232,1627,349,544,20,18,19,11])).
% 104.45/104.53  cnf(3252,plain,
% 104.45/104.53     (P2(f3(a1,a1),a1)),
% 104.45/104.53     inference(scs_inference,[],[3158,3087,20])).
% 104.45/104.53  cnf(3260,plain,
% 104.45/104.53     (P3(f3(a1,f6(a5)),f3(f3(a1,a1),f6(a5)))),
% 104.45/104.53     inference(scs_inference,[],[3242,3137,3158,3185,3087,1141,154,20,21,18,11,1442])).
% 104.45/104.53  cnf(3278,plain,
% 104.45/104.53     (P2(f3(f3(a4,a4),f6(f3(a4,a4))),a1)),
% 104.45/104.53     inference(scs_inference,[],[3220,3252,20])).
% 104.45/104.53  cnf(3282,plain,
% 104.45/104.53     (~P3(f3(a2,a2),f3(a1,f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[3220,3252,3050,2853,483,20,21,18])).
% 104.45/104.53  cnf(3294,plain,
% 104.45/104.53     (P2(f3(f3(a2,a2),f6(f3(a2,a2))),a1)),
% 104.45/104.53     inference(scs_inference,[],[3246,3252,20])).
% 104.45/104.53  cnf(3311,plain,
% 104.45/104.53     (~P3(a1,f3(a1,f7(a4)))),
% 104.45/104.53     inference(scs_inference,[],[2711,1194,18])).
% 104.45/104.53  cnf(3313,plain,
% 104.45/104.53     (~P3(f3(a1,f3(a5,a5)),f3(a2,a2))),
% 104.45/104.53     inference(scs_inference,[],[3282,2711,1194,18,11])).
% 104.45/104.53  cnf(3334,plain,
% 104.45/104.53     (P2(f3(a2,f3(a5,a5)),f3(a5,f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[5,1902,1900,297,283,164,845,704,649,11,17,14,9,13,18,21,28])).
% 104.45/104.53  cnf(3372,plain,
% 104.45/104.53     (P1(f6(a4))),
% 104.45/104.53     inference(scs_inference,[],[212,3260,297,2,1463,3208,11,18,28,8])).
% 104.45/104.53  cnf(3397,plain,
% 104.45/104.53     (~P3(f3(f8(a4,a1),f3(a5,a5)),f3(f3(a1,a2),a2))),
% 104.45/104.53     inference(scs_inference,[],[1434,1473,2748,349,2914,11,21,18])).
% 104.45/104.53  cnf(3411,plain,
% 104.45/104.53     (P2(f3(f3(a1,a1),f6(a5)),f6(a5))),
% 104.45/104.53     inference(scs_inference,[],[3260,3252,3007,2709,3397,11,3234,21,20])).
% 104.45/104.53  cnf(3431,plain,
% 104.45/104.53     (~P3(f7(a4),f3(a2,f6(a2)))),
% 104.45/104.53     inference(scs_inference,[],[2830,1525,36,268,483,11,20,18])).
% 104.45/104.53  cnf(3450,plain,
% 104.45/104.53     (P3(f3(f3(a1,a1),f6(a5)),f6(a5))),
% 104.45/104.53     inference(scs_inference,[],[1473,3411,3431,11,19])).
% 104.45/104.53  cnf(3454,plain,
% 104.45/104.53     (~P3(f3(f8(a4,a1),f3(a5,a5)),f3(a5,a2))),
% 104.45/104.53     inference(scs_inference,[],[1473,2540,3120,3411,2914,3334,3431,11,19,21,18])).
% 104.45/104.53  cnf(3479,plain,
% 104.45/104.53     (P2(f3(f3(a1,f6(a1)),f3(a5,a5)),f3(a1,f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[315,2086,3411,3078,3450,297,1325,3454,11,19,21,18,28])).
% 104.45/104.53  cnf(3493,plain,
% 104.45/104.53     (~P3(f3(a2,a2),f3(f8(a4,a1),f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[2818,3454,3282,11,18])).
% 104.45/104.53  cnf(3508,plain,
% 104.45/104.53     (~P2(f3(a2,a2),f3(f8(a4,a1),f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[3072,1190,3493,11,19])).
% 104.45/104.53  cnf(3510,plain,
% 104.45/104.53     (P2(f3(a1,f3(a5,a5)),f3(f3(a1,a2),a2))),
% 104.45/104.53     inference(scs_inference,[],[3216,3072,2818,1190,3493,11,19,20])).
% 104.45/104.53  cnf(3529,plain,
% 104.45/104.53     (~P3(f3(a1,f7(a4)),a1)),
% 104.45/104.53     inference(scs_inference,[],[3311,11])).
% 104.45/104.53  cnf(3537,plain,
% 104.45/104.53     (P2(f3(a1,f3(a5,a5)),f3(f3(a1,a1),f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[154,2830,3278,297,88,845,119,3311,11,20,21,18,28])).
% 104.45/104.53  cnf(3550,plain,
% 104.45/104.53     (~P2(f3(a1,f3(a2,a2)),f3(f8(a4,a1),f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[3508,483,1192,11,20])).
% 104.45/104.53  cnf(3554,plain,
% 104.45/104.53     (~P3(f8(a4,f3(a2,a2)),f3(a1,f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[3508,3510,483,2755,1137,1192,3479,11,20,21,18])).
% 104.45/104.53  cnf(3567,plain,
% 104.45/104.53     (P2(f3(a1,f3(a5,a5)),f3(a2,a2))),
% 104.45/104.53     inference(scs_inference,[],[3072,2818,3554,11,20])).
% 104.45/104.53  cnf(3569,plain,
% 104.45/104.53     (~P3(f8(f8(a4,a4),a4),f8(a4,a1))),
% 104.45/104.53     inference(scs_inference,[],[3072,2818,214,2959,3554,11,20,18])).
% 104.45/104.53  cnf(3571,plain,
% 104.45/104.53     (P2(f3(a1,f3(a5,a5)),f3(a5,a2))),
% 104.45/104.53     inference(scs_inference,[],[3072,2818,214,2959,3554,11,20,18,142])).
% 104.45/104.53  cnf(3579,plain,
% 104.45/104.53     (~P2(f3(a2,a2),f3(a1,f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[3567,1194,3313,11,19])).
% 104.45/104.53  cnf(3585,plain,
% 104.45/104.53     (~P3(f3(a1,f3(a5,a5)),f3(a5,a2))),
% 104.45/104.53     inference(scs_inference,[],[154,315,3294,3567,2818,349,1194,3454,3313,11,19,20,21,18])).
% 104.45/104.53  cnf(3598,plain,
% 104.45/104.53     (~P3(f3(f3(a1,f6(a1)),f3(a5,a5)),f3(a2,a2))),
% 104.45/104.53     inference(scs_inference,[],[3579,3571,3479,3569,3585,11,19,20])).
% 104.45/104.53  cnf(3600,plain,
% 104.45/104.53     (P2(f3(f3(a1,f6(a1)),f3(a5,a5)),f3(a2,a2))),
% 104.45/104.53     inference(scs_inference,[],[3579,3567,3571,3479,3569,3585,11,19,20,21])).
% 104.45/104.53  cnf(3621,plain,
% 104.45/104.53     (~P2(f3(f3(a1,a1),f3(a2,a2)),f3(a1,f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[3579,2146,841,1469,2175,11,20,21])).
% 104.45/104.53  cnf(3634,plain,
% 104.45/104.53     (~P2(f3(a2,a2),f3(f3(a1,f6(a1)),f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[3598,3600,11,19])).
% 104.45/104.53  cnf(3640,plain,
% 104.45/104.53     (~P3(f3(f3(a2,f6(a2)),f3(a2,a2)),f3(f8(a4,a1),f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[3252,3046,3598,3600,125,2757,1918,3052,11,19,20,21,18])).
% 104.45/104.53  cnf(3642,plain,
% 104.45/104.53     (P2(f3(a2,f6(a5)),f3(a5,f6(a5)))),
% 104.45/104.53     inference(scs_inference,[],[5,3252,3046,3598,3600,156,125,2757,1918,3052,11,19,20,21,18,28])).
% 104.45/104.53  cnf(3666,plain,
% 104.45/104.53     (P2(f3(f3(a1,a1),f3(a5,a5)),f3(a1,f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[3634,3252,1559,3598,297,483,615,3642,11,20,21,18,28])).
% 104.45/104.53  cnf(3675,plain,
% 104.45/104.53     (P3(f3(f3(a1,a1),f3(a5,a5)),f3(a1,f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[3585,3537,3666,11,19])).
% 104.45/104.53  cnf(3694,plain,
% 104.45/104.53     (P2(f3(a1,f3(a5,a5)),f3(a1,f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[3675,3666,11,20])).
% 104.45/104.53  cnf(3707,plain,
% 104.45/104.53     (~P3(f3(a1,f3(a5,a5)),f3(f3(a1,a1),f3(a2,a2)))),
% 104.45/104.53     inference(scs_inference,[],[3694,3621,3640,11,20])).
% 104.45/104.53  cnf(3764,plain,
% 104.45/104.53     (~P3(f3(f8(a4,a1),f3(a2,a2)),f3(a1,f3(a5,a5)))),
% 104.45/104.53     inference(scs_inference,[],[3009,3550,1137,615,491,3185,3642,11,20,21,18])).
% 104.45/104.53  cnf(3790,plain,
% 104.45/104.53     (~P3(f8(a4,f3(a5,a5)),f3(f3(a1,a2),a2))),
% 104.45/104.53     inference(scs_inference,[],[3252,2748,1516,564,1159,11,20,18])).
% 104.45/104.53  cnf(3797,plain,
% 104.45/104.53     (~P3(f3(a1,a4),a1)),
% 104.45/104.53     inference(scs_inference,[],[3707,1467,1786,11,18])).
% 104.45/104.53  cnf(3815,plain,
% 104.45/104.53     (P2(f3(a2,a2),f3(a1,f3(a2,a2)))),
% 104.45/104.53     inference(scs_inference,[],[3224,483,351,11,20])).
% 104.45/104.53  cnf(3858,plain,
% 104.45/104.53     (P2(f3(f8(a4,a1),f3(a5,a5)),f3(a5,a5))),
% 104.45/104.53     inference(scs_inference,[],[2516,2914,3797,11,20])).
% 104.45/104.53  cnf(3920,plain,
% 104.45/104.53     (P3(f7(a4),f8(a4,f7(a4)))),
% 104.45/104.53     inference(scs_inference,[],[732,11])).
% 104.45/104.53  cnf(3954,plain,
% 104.45/104.53     (P2(f8(a4,f7(a4)),f3(f8(a1,a1),f7(a4)))),
% 104.45/104.53     inference(scs_inference,[],[859,1498,3920,11,20])).
% 104.45/104.53  cnf(4001,plain,
% 104.45/104.53     (P2(f3(f8(a4,a1),f3(a5,a5)),f3(a1,f3(a2,a2)))),
% 104.45/104.53     inference(scs_inference,[],[3072,3954,3815,283,88,3208,3764,11,20,18,21])).
% 104.45/104.53  cnf(4027,plain,
% 104.45/104.53     (P2(f3(a1,a1),f3(f8(f3(a1,a1),f3(a1,a1)),f3(a1,a1)))),
% 104.45/104.53     inference(scs_inference,[],[1650,645,3790,11,20])).
% 104.45/104.53  cnf(4029,plain,
% 104.45/104.53     (~P3(f3(a1,f3(a5,a5)),f3(f3(a1,a2),a2))),
% 104.45/104.53     inference(scs_inference,[],[2748,1650,645,2150,3790,11,20,18])).
% 104.45/104.53  cnf(4047,plain,
% 104.45/104.53     (~P3(f3(a1,f7(a4)),f8(a4,a1))),
% 104.45/104.53     inference(scs_inference,[],[3510,4001,36,2818,645,3529,4029,11,19,20,18])).
% 104.45/104.53  cnf(4049,plain,
% 104.45/104.53     (P2(a1,f3(f8(f3(a1,a1),f3(a1,a1)),f3(a1,a1)))),
% 104.45/104.53     inference(scs_inference,[],[154,3510,4001,4027,36,2818,645,3529,4029,11,19,20,18,21])).
% 104.45/104.53  cnf(4086,plain,
% 104.45/104.53     (~P3(f3(a1,f3(a5,a5)),f3(f3(a1,f6(a1)),f3(a2,a2)))),
% 104.45/104.53     inference(scs_inference,[],[4049,283,615,2552,4047,11,20,18])).
% 104.45/104.53  cnf(4128,plain,
% 104.45/104.53     (P2(f3(a2,a5),f3(a5,a5))),
% 104.45/104.53     inference(scs_inference,[],[5,240,2830,641,4,3372,1679,925,4086,11,18,26,19,21,28])).
% 104.45/104.53  cnf(4143,plain,
% 104.45/104.53     (~P3(f3(a2,a5),f3(a5,a2))),
% 104.45/104.53     inference(scs_inference,[],[1473,297,845,877,625,4128,11,635,718,18,28,192,196])).
% 104.45/104.53  cnf(4176,plain,
% 104.45/104.53     ($false),
% 104.45/104.53     inference(scs_inference,[],[3858,4143,297,4,3,2818,268,222,394,11,20,18,26,24]),
% 104.45/104.53     ['proof']).
% 104.45/104.53  % SZS output end Proof
% 104.45/104.53  % Total time :103.880000s
%------------------------------------------------------------------------------