TSTP Solution File: FLD067-2 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : FLD067-2 : 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 22:26:56 EDT 2023

% Result   : Unsatisfiable 128.91s 129.07s
% Output   : CNFRefutation 128.98s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : FLD067-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.11  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.10/0.31  % Computer : n004.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Mon Aug 28 00:06:07 EDT 2023
% 0.10/0.32  % CPUTime    : 
% 0.16/0.57  start to proof:theBenchmark
% 128.91/129.07  %-------------------------------------------
% 128.91/129.07  % File        :CSE---1.6
% 128.91/129.07  % Problem     :theBenchmark
% 128.91/129.07  % Transform   :cnf
% 128.91/129.07  % Format      :tptp:raw
% 128.91/129.07  % Command     :java -jar mcs_scs.jar %d %s
% 128.91/129.07  
% 128.91/129.07  % Result      :Theorem 128.370000s
% 128.91/129.07  % Output      :CNFRefutation 128.370000s
% 128.91/129.07  %-------------------------------------------
% 128.91/129.07  %--------------------------------------------------------------------------
% 128.91/129.07  % File     : FLD067-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 128.91/129.07  % Domain   : Field Theory (Ordered fields)
% 128.91/129.07  % Problem  : Side change in an order relation, part 1
% 128.91/129.07  % Version  : [Dra93] axioms : Especial.
% 128.91/129.07  %            Theorem formulation : Relational with glxx axiom set.
% 128.91/129.07  % English  :
% 128.91/129.07  
% 128.91/129.07  % Refs     : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 128.91/129.07  % Source   : [Dra93]
% 128.91/129.07  % Names    :
% 128.91/129.07  
% 128.91/129.07  % Status   : Unsatisfiable
% 128.91/129.07  % Rating   : 0.14 v7.5.0, 0.17 v7.1.0, 0.50 v7.0.0, 0.12 v6.4.0, 0.25 v6.3.0, 0.14 v6.2.0, 0.22 v6.1.0, 0.29 v5.5.0, 0.38 v5.4.0, 0.40 v5.2.0, 0.20 v5.1.0, 0.27 v5.0.0, 0.43 v4.1.0, 0.25 v4.0.1, 0.20 v4.0.0, 0.29 v3.4.0, 0.25 v3.3.0, 0.33 v2.7.0, 0.12 v2.6.0, 0.33 v2.5.0, 0.20 v2.4.0, 0.40 v2.3.0, 0.67 v2.2.1, 0.67 v2.1.0
% 128.91/129.07  % Syntax   : Number of clauses     :   33 (   9 unt;   3 nHn;  33 RR)
% 128.91/129.07  %            Number of literals    :   79 (   0 equ;  45 neg)
% 128.91/129.07  %            Maximal clause size   :    4 (   2 avg)
% 128.91/129.07  %            Maximal term depth    :    3 (   1 avg)
% 128.91/129.07  %            Number of predicates  :    3 (   3 usr;   0 prp; 1-2 aty)
% 128.91/129.07  %            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
% 128.91/129.07  %            Number of variables   :   50 (   0 sgn)
% 128.91/129.07  % SPC      : CNF_UNS_RFO_NEQ_NHN
% 128.91/129.07  
% 128.91/129.07  % Comments :
% 128.91/129.07  % Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
% 128.91/129.07  %--------------------------------------------------------------------------
% 128.91/129.07  include('Axioms/FLD001-0.ax').
% 128.91/129.07  %--------------------------------------------------------------------------
% 128.91/129.07  cnf(a_is_defined,hypothesis,
% 128.91/129.07      defined(a) ).
% 128.91/129.07  
% 128.91/129.07  cnf(b_is_defined,hypothesis,
% 128.91/129.07      defined(b) ).
% 128.91/129.07  
% 128.91/129.07  cnf(u_is_defined,hypothesis,
% 128.91/129.07      defined(u) ).
% 128.91/129.07  
% 128.91/129.07  cnf(less_or_equal_4,negated_conjecture,
% 128.91/129.07      less_or_equal(a,b) ).
% 128.91/129.07  
% 128.91/129.07  cnf(add_equals_u_5,negated_conjecture,
% 128.91/129.07      equalish(add(b,additive_inverse(a)),u) ).
% 128.91/129.07  
% 128.91/129.07  cnf(not_less_or_equal_6,negated_conjecture,
% 128.91/129.07      ~ less_or_equal(additive_identity,u) ).
% 128.91/129.07  
% 128.91/129.07  %--------------------------------------------------------------------------
% 128.91/129.07  %-------------------------------------------
% 128.91/129.07  % Proof found
% 128.91/129.07  % SZS status Theorem for theBenchmark
% 128.91/129.07  % SZS output start Proof
% 128.91/129.08  %ClaNum:33(EqnAxiom:0)
% 128.91/129.08  %VarNum:128(SingletonVarNum:50)
% 128.91/129.08  %MaxLitNum:4
% 128.91/129.08  %MaxfuncDepth:2
% 128.91/129.08  %SharedTerms:16
% 128.91/129.08  %goalClause: 6 7 9
% 128.91/129.08  %singleGoalClaCount:3
% 128.91/129.08  [1]P1(a1)
% 128.91/129.08  [2]P1(a4)
% 128.91/129.08  [3]P1(a2)
% 128.91/129.08  [4]P1(a5)
% 128.91/129.08  [5]P1(a7)
% 128.91/129.08  [6]P2(a2,a5)
% 128.91/129.08  [8]~P3(a1,a4)
% 128.91/129.08  [9]~P2(a1,a7)
% 128.91/129.08  [7]P3(f3(a5,f6(a2)),a7)
% 128.91/129.08  [11]~P1(x111)+P3(x111,x111)
% 128.91/129.08  [10]~P1(x101)+P1(f6(x101))
% 128.91/129.08  [15]~P1(x151)+P3(f3(a1,x151),x151)
% 128.91/129.08  [16]~P1(x161)+P3(f9(a4,x161),x161)
% 128.91/129.08  [19]~P1(x191)+P3(f3(x191,f6(x191)),a1)
% 128.91/129.08  [13]~P3(x132,x131)+P3(x131,x132)
% 128.91/129.08  [12]~P1(x121)+P3(x121,a1)+P1(f8(x121))
% 128.91/129.08  [24]~P1(x241)+P3(x241,a1)+P3(f9(x241,f8(x241)),a4)
% 128.91/129.08  [21]~P2(x212,x211)+~P2(x211,x212)+P3(x211,x212)
% 128.91/129.08  [17]~P1(x172)+~P1(x171)+P1(f3(x171,x172))
% 128.91/129.08  [18]~P1(x182)+~P1(x181)+P1(f9(x181,x182))
% 128.91/129.08  [25]~P2(a1,x252)+~P2(a1,x251)+P2(a1,f9(x251,x252))
% 128.91/129.08  [26]~P1(x262)+~P1(x261)+P3(f3(x261,x262),f3(x262,x261))
% 128.91/129.08  [27]~P1(x272)+~P1(x271)+P3(f9(x271,x272),f9(x272,x271))
% 128.91/129.08  [20]~P3(x201,x203)+P3(x201,x202)+~P3(x203,x202)
% 128.91/129.08  [22]~P2(x223,x222)+P2(x221,x222)+~P3(x223,x221)
% 128.91/129.08  [23]~P2(x231,x233)+P2(x231,x232)+~P2(x233,x232)
% 128.91/129.08  [28]~P1(x282)+~P3(x281,x283)+P3(f3(x281,x282),f3(x283,x282))
% 128.91/129.08  [29]~P1(x292)+~P3(x291,x293)+P3(f9(x291,x292),f9(x293,x292))
% 128.91/129.08  [30]~P1(x302)+~P2(x301,x303)+P2(f3(x301,x302),f3(x303,x302))
% 128.91/129.08  [14]P2(x142,x141)+~P1(x141)+~P1(x142)+P2(x141,x142)
% 128.91/129.08  [31]~P1(x313)+~P1(x312)+~P1(x311)+P3(f3(x311,f3(x312,x313)),f3(f3(x311,x312),x313))
% 128.91/129.08  [32]~P1(x323)+~P1(x322)+~P1(x321)+P3(f9(x321,f9(x322,x323)),f9(f9(x321,x322),x323))
% 128.91/129.08  [33]~P1(x333)+~P1(x332)+~P1(x331)+P3(f3(f9(x331,x332),f9(x333,x332)),f9(f3(x331,x333),x332))
% 128.91/129.08  %EqnAxiom
% 128.91/129.08  
% 128.91/129.08  %-------------------------------------------
% 128.98/129.09  cnf(34,plain,
% 128.98/129.09     (~P3(a4,a1)),
% 128.98/129.09     inference(scs_inference,[],[8,13])).
% 128.98/129.09  cnf(35,plain,
% 128.98/129.09     (P2(a1,a1)),
% 128.98/129.09     inference(scs_inference,[],[1,8,13,14])).
% 128.98/129.09  cnf(36,plain,
% 128.98/129.09     (P3(a1,a1)),
% 128.98/129.09     inference(scs_inference,[],[1,8,13,14,11])).
% 128.98/129.09  cnf(38,plain,
% 128.98/129.09     (P3(f9(a4,a1),a1)),
% 128.98/129.09     inference(scs_inference,[],[1,8,13,14,11,16])).
% 128.98/129.09  cnf(40,plain,
% 128.98/129.09     (P3(f3(a1,a1),a1)),
% 128.98/129.09     inference(scs_inference,[],[1,8,13,14,11,16,15])).
% 128.98/129.09  cnf(42,plain,
% 128.98/129.09     (P1(f6(a1))),
% 128.98/129.09     inference(scs_inference,[],[1,8,13,14,11,16,15,10])).
% 128.98/129.09  cnf(44,plain,
% 128.98/129.09     (P3(f3(a1,f6(a1)),a1)),
% 128.98/129.09     inference(scs_inference,[],[1,8,13,14,11,16,15,10,19])).
% 128.98/129.09  cnf(80,plain,
% 128.98/129.09     (P3(a7,f3(a5,f6(a2)))),
% 128.98/129.09     inference(scs_inference,[],[7,13])).
% 128.98/129.09  cnf(82,plain,
% 128.98/129.09     (P2(a1,f9(a1,a1))),
% 128.98/129.09     inference(scs_inference,[],[7,35,13,25])).
% 128.98/129.09  cnf(84,plain,
% 128.98/129.09     (P1(f9(a2,a2))),
% 128.98/129.09     inference(scs_inference,[],[3,7,35,13,25,18])).
% 128.98/129.09  cnf(86,plain,
% 128.98/129.09     (P1(f3(a2,a2))),
% 128.98/129.09     inference(scs_inference,[],[3,7,35,13,25,18,17])).
% 128.98/129.09  cnf(88,plain,
% 128.98/129.09     (P1(f8(a4))),
% 128.98/129.09     inference(scs_inference,[],[3,2,7,35,34,13,25,18,17,12])).
% 128.98/129.09  cnf(90,plain,
% 128.98/129.09     (P3(f9(f3(a5,f6(a2)),a2),f9(a7,a2))),
% 128.98/129.09     inference(scs_inference,[],[3,2,7,35,34,13,25,18,17,12,29])).
% 128.98/129.09  cnf(92,plain,
% 128.98/129.09     (P3(f3(f3(a5,f6(a2)),a2),f3(a7,a2))),
% 128.98/129.09     inference(scs_inference,[],[3,2,7,35,34,13,25,18,17,12,29,28])).
% 128.98/129.09  cnf(94,plain,
% 128.98/129.09     (P3(f9(a4,f8(a4)),a4)),
% 128.98/129.09     inference(scs_inference,[],[3,2,7,35,34,13,25,18,17,12,29,28,24])).
% 128.98/129.09  cnf(96,plain,
% 128.98/129.09     (P3(f3(a2,f3(a2,a2)),f3(f3(a2,a2),a2))),
% 128.98/129.09     inference(scs_inference,[],[3,2,7,35,34,13,25,18,17,12,29,28,24,31])).
% 128.98/129.09  cnf(98,plain,
% 128.98/129.09     (P3(f3(f9(a2,a2),f9(a2,a2)),f9(f3(a2,a2),a2))),
% 128.98/129.09     inference(scs_inference,[],[3,2,7,35,34,13,25,18,17,12,29,28,24,31,33])).
% 128.98/129.09  cnf(100,plain,
% 128.98/129.09     (P2(a7,a1)),
% 128.98/129.09     inference(scs_inference,[],[3,5,9,2,7,1,35,34,13,25,18,17,12,29,28,24,31,33,14])).
% 128.98/129.09  cnf(102,plain,
% 128.98/129.09     (~P2(f3(a1,f6(a1)),a7)),
% 128.98/129.09     inference(scs_inference,[],[3,5,9,2,7,1,44,35,34,13,25,18,17,12,29,28,24,31,33,14,22])).
% 128.98/129.09  cnf(104,plain,
% 128.98/129.09     (P3(a7,a7)),
% 128.98/129.09     inference(scs_inference,[],[3,5,9,2,7,1,44,35,34,13,25,18,17,12,29,28,24,31,33,14,22,20])).
% 128.98/129.09  cnf(106,plain,
% 128.98/129.09     (P2(f3(a2,a2),f3(a5,a2))),
% 128.98/129.09     inference(scs_inference,[],[6,3,5,9,2,7,1,44,35,34,13,25,18,17,12,29,28,24,31,33,14,22,20,30])).
% 128.98/129.09  cnf(110,plain,
% 128.98/129.09     (P3(f3(a2,a2),f3(a2,a2))),
% 128.98/129.09     inference(scs_inference,[],[6,3,5,9,2,7,1,44,35,34,13,25,18,17,12,29,28,24,31,33,14,22,20,30,27,26])).
% 128.98/129.09  cnf(112,plain,
% 128.98/129.09     (P3(f9(a2,f9(a2,a2)),f9(f9(a2,a2),a2))),
% 128.98/129.09     inference(scs_inference,[],[6,3,5,9,2,7,1,44,35,34,13,25,18,17,12,29,28,24,31,33,14,22,20,30,27,26,32])).
% 128.98/129.09  cnf(118,plain,
% 128.98/129.09     (P3(f3(f9(a5,a5),f9(a5,a5)),f9(f3(a5,a5),a5))),
% 128.98/129.09     inference(scs_inference,[],[4,33])).
% 128.98/129.09  cnf(120,plain,
% 128.98/129.09     (~P2(f9(a4,a1),a7)),
% 128.98/129.09     inference(scs_inference,[],[4,9,38,33,22])).
% 128.98/129.09  cnf(124,plain,
% 128.98/129.09     (P3(f3(a5,f3(a5,a5)),f3(f3(a5,a5),a5))),
% 128.98/129.09     inference(scs_inference,[],[7,4,9,38,80,33,22,20,31])).
% 128.98/129.09  cnf(126,plain,
% 128.98/129.09     (~P2(f9(a1,a1),a7)),
% 128.98/129.09     inference(scs_inference,[],[7,4,9,38,82,80,33,22,20,31,23])).
% 128.98/129.09  cnf(128,plain,
% 128.98/129.09     (P3(f9(a5,f9(a5,a5)),f9(f9(a5,a5),a5))),
% 128.98/129.09     inference(scs_inference,[],[7,4,9,38,82,80,33,22,20,31,23,32])).
% 128.98/129.09  cnf(130,plain,
% 128.98/129.09     (P3(f9(f3(a2,a2),a2),f3(f9(a2,a2),f9(a2,a2)))),
% 128.98/129.09     inference(scs_inference,[],[7,4,9,98,38,82,80,33,22,20,31,23,32,13])).
% 128.98/129.09  cnf(136,plain,
% 128.98/129.09     (P2(a7,f9(a1,a1))),
% 128.98/129.09     inference(scs_inference,[],[100,82,23])).
% 128.98/129.09  cnf(138,plain,
% 128.98/129.09     (~P3(a4,f3(a1,a1))),
% 128.98/129.09     inference(scs_inference,[],[34,100,40,82,23,20])).
% 128.98/129.09  cnf(142,plain,
% 128.98/129.09     (~P2(f3(a1,a1),a7)),
% 128.98/129.09     inference(scs_inference,[],[34,5,9,100,40,120,82,23,20,14,22])).
% 128.98/129.09  cnf(144,plain,
% 128.98/129.09     (~P3(f3(a1,a1),a4)),
% 128.98/129.09     inference(scs_inference,[],[34,5,9,100,40,120,82,23,20,14,22,13])).
% 128.98/129.09  cnf(149,plain,
% 128.98/129.09     (P1(f9(a5,a5))),
% 128.98/129.09     inference(scs_inference,[],[4,18])).
% 128.98/129.09  cnf(151,plain,
% 128.98/129.09     (P3(f9(f9(a2,a2),a2),f9(a2,f9(a2,a2)))),
% 128.98/129.09     inference(scs_inference,[],[4,112,18,13])).
% 128.98/129.09  cnf(153,plain,
% 128.98/129.09     (P2(a5,a5)),
% 128.98/129.09     inference(scs_inference,[],[4,112,18,13,14])).
% 128.98/129.09  cnf(155,plain,
% 128.98/129.09     (P2(f3(a5,f6(a2)),f9(a1,a1))),
% 128.98/129.09     inference(scs_inference,[],[4,136,112,80,18,13,14,22])).
% 128.98/129.09  cnf(159,plain,
% 128.98/129.09     (P3(a5,a5)),
% 128.98/129.09     inference(scs_inference,[],[4,136,130,112,80,98,18,13,14,22,20,21])).
% 128.98/129.09  cnf(161,plain,
% 128.98/129.09     (P1(f6(a5))),
% 128.98/129.09     inference(scs_inference,[],[4,136,130,112,80,98,18,13,14,22,20,21,10])).
% 128.98/129.09  cnf(163,plain,
% 128.98/129.09     (P3(f9(a4,a5),a5)),
% 128.98/129.09     inference(scs_inference,[],[4,136,130,112,80,98,18,13,14,22,20,21,10,16])).
% 128.98/129.09  cnf(165,plain,
% 128.98/129.09     (P3(f3(a1,a5),a5)),
% 128.98/129.09     inference(scs_inference,[],[4,136,130,112,80,98,18,13,14,22,20,21,10,16,15])).
% 128.98/129.09  cnf(167,plain,
% 128.98/129.09     (P3(a4,a4)),
% 128.98/129.09     inference(scs_inference,[],[4,2,136,130,112,80,98,18,13,14,22,20,21,10,16,15,11])).
% 128.98/129.09  cnf(169,plain,
% 128.98/129.09     (P3(f3(a5,f6(a5)),a1)),
% 128.98/129.09     inference(scs_inference,[],[4,2,136,130,112,80,98,18,13,14,22,20,21,10,16,15,11,19])).
% 128.98/129.09  cnf(173,plain,
% 128.98/129.09     (P1(f9(a7,a7))),
% 128.98/129.09     inference(scs_inference,[],[5,18])).
% 128.98/129.09  cnf(177,plain,
% 128.98/129.09     (P2(a1,f9(f9(a1,a1),f9(a1,a1)))),
% 128.98/129.09     inference(scs_inference,[],[5,151,112,82,18,20,25])).
% 128.98/129.09  cnf(179,plain,
% 128.98/129.09     (P1(f3(a7,a7))),
% 128.98/129.09     inference(scs_inference,[],[5,151,112,82,18,20,25,17])).
% 128.98/129.09  cnf(185,plain,
% 128.98/129.09     (P3(f9(a7,a7),f9(a7,a7))),
% 128.98/129.09     inference(scs_inference,[],[5,110,151,112,82,18,20,25,17,29,28,27])).
% 128.98/129.09  cnf(187,plain,
% 128.98/129.09     (P3(f3(a7,a7),f3(a7,a7))),
% 128.98/129.09     inference(scs_inference,[],[5,110,151,112,82,18,20,25,17,29,28,27,26])).
% 128.98/129.09  cnf(189,plain,
% 128.98/129.09     (P2(f3(a1,a7),f3(a1,a7))),
% 128.98/129.09     inference(scs_inference,[],[35,5,110,151,112,82,18,20,25,17,29,28,27,26,30])).
% 128.98/129.09  cnf(193,plain,
% 128.98/129.09     (P3(a7,a1)+P1(f8(a7))),
% 128.98/129.09     inference(scs_inference,[],[35,5,110,155,151,112,82,18,20,25,17,29,28,27,26,30,23,12])).
% 128.98/129.09  cnf(197,plain,
% 128.98/129.09     (~P3(a2,x1971)+P2(x1971,a5)),
% 128.98/129.09     inference(scs_inference,[],[35,5,110,155,151,112,82,6,18,20,25,17,29,28,27,26,30,23,12,24,22])).
% 128.98/129.09  cnf(199,plain,
% 128.98/129.09     (P2(a4,a4)),
% 128.98/129.09     inference(scs_inference,[],[35,5,2,110,155,151,112,82,6,18,20,25,17,29,28,27,26,30,23,12,24,22,14])).
% 128.98/129.09  cnf(203,plain,
% 128.98/129.09     (P1(f3(a1,a1))),
% 128.98/129.09     inference(scs_inference,[],[1,17])).
% 128.98/129.09  cnf(207,plain,
% 128.98/129.09     (P3(f3(a1,a1),f3(a1,a1))),
% 128.98/129.09     inference(scs_inference,[],[1,36,17,29,28])).
% 128.98/129.09  cnf(209,plain,
% 128.98/129.09     (P3(f3(a4,a4),f3(a4,a4))),
% 128.98/129.09     inference(scs_inference,[],[1,36,2,17,29,28,26])).
% 128.98/129.09  cnf(213,plain,
% 128.98/129.09     (P2(f3(a1,a1),f3(a1,a1))),
% 128.98/129.09     inference(scs_inference,[],[1,36,35,2,17,29,28,26,27,30])).
% 128.98/129.09  cnf(215,plain,
% 128.98/129.09     (~P2(f9(f9(a1,a1),f9(a1,a1)),a7)),
% 128.98/129.09     inference(scs_inference,[],[1,36,35,2,177,9,17,29,28,26,27,30,23])).
% 128.98/129.09  cnf(217,plain,
% 128.98/129.09     (~P3(a1,f9(a4,f8(a4)))),
% 128.98/129.09     inference(scs_inference,[],[1,36,35,8,2,94,177,9,17,29,28,26,27,30,23,20])).
% 128.98/129.09  cnf(219,plain,
% 128.98/129.09     (P3(f3(a1,a7),f3(a1,a7))),
% 128.98/129.09     inference(scs_inference,[],[1,36,35,8,2,94,177,189,9,17,29,28,26,27,30,23,20,21])).
% 128.98/129.09  cnf(221,plain,
% 128.98/129.09     (P2(a7,f3(a1,a1))),
% 128.98/129.09     inference(scs_inference,[],[1,36,35,8,2,5,94,177,189,142,9,17,29,28,26,27,30,23,20,21,14])).
% 128.98/129.09  cnf(223,plain,
% 128.98/129.09     (P3(f3(f9(a1,a1),f9(a1,a1)),f9(f3(a1,a1),a1))),
% 128.98/129.09     inference(scs_inference,[],[1,36,35,8,2,5,94,177,189,142,9,17,29,28,26,27,30,23,20,21,14,33])).
% 128.98/129.09  cnf(225,plain,
% 128.98/129.09     (P3(f3(a1,f3(a1,a1)),f3(f3(a1,a1),a1))),
% 128.98/129.09     inference(scs_inference,[],[1,36,35,8,2,5,94,177,189,142,9,17,29,28,26,27,30,23,20,21,14,33,31])).
% 128.98/129.09  cnf(227,plain,
% 128.98/129.09     (P3(f9(a1,f9(a1,a1)),f9(f9(a1,a1),a1))),
% 128.98/129.09     inference(scs_inference,[],[1,36,35,8,2,5,94,177,189,142,9,17,29,28,26,27,30,23,20,21,14,33,31,32])).
% 128.98/129.09  cnf(233,plain,
% 128.98/129.09     (P3(f3(f9(a4,a4),f9(a4,a4)),f9(f3(a4,a4),a4))),
% 128.98/129.09     inference(scs_inference,[],[2,33])).
% 128.98/129.09  cnf(237,plain,
% 128.98/129.09     (P3(f9(a4,f9(a4,a4)),f9(f9(a4,a4),a4))),
% 128.98/129.09     inference(scs_inference,[],[2,33,31,32])).
% 128.98/129.09  cnf(239,plain,
% 128.98/129.09     (P3(f9(f3(a1,a1),a1),f3(f9(a1,a1),f9(a1,a1)))),
% 128.98/129.09     inference(scs_inference,[],[2,223,33,31,32,13])).
% 128.98/129.09  cnf(243,plain,
% 128.98/129.09     (~P3(x2431,f9(f9(a1,a1),f9(a1,a1)))+~P2(x2431,a7)),
% 128.98/129.09     inference(scs_inference,[],[2,223,215,33,31,32,13,20,22])).
% 128.98/129.09  cnf(258,plain,
% 128.98/129.09     (P3(f3(f9(a7,a7),f9(a7,a7)),f9(f3(a7,a7),a7))),
% 128.98/129.09     inference(scs_inference,[],[5,33])).
% 128.98/129.09  cnf(260,plain,
% 128.98/129.09     (P3(f3(a7,f3(a7,a7)),f3(f3(a7,a7),a7))),
% 128.98/129.09     inference(scs_inference,[],[5,33,31])).
% 128.98/129.09  cnf(262,plain,
% 128.98/129.09     (P1(f9(a4,a4))),
% 128.98/129.09     inference(scs_inference,[],[2,5,33,31,18])).
% 128.98/129.09  cnf(268,plain,
% 128.98/129.09     (P2(a2,a2)),
% 128.98/129.09     inference(scs_inference,[],[2,3,5,239,223,33,31,18,32,20,14])).
% 128.98/129.09  cnf(270,plain,
% 128.98/129.09     (P3(f9(a4,a4),a4)),
% 128.98/129.09     inference(scs_inference,[],[2,3,5,239,223,33,31,18,32,20,14,16])).
% 128.98/129.09  cnf(272,plain,
% 128.98/129.09     (P1(f6(a4))),
% 128.98/129.09     inference(scs_inference,[],[2,3,5,239,223,33,31,18,32,20,14,16,10])).
% 128.98/129.09  cnf(274,plain,
% 128.98/129.09     (P3(f3(a1,a4),a4)),
% 128.98/129.09     inference(scs_inference,[],[2,3,5,239,223,33,31,18,32,20,14,16,10,15])).
% 128.98/129.09  cnf(276,plain,
% 128.98/129.09     (P3(f3(a4,f6(a4)),a1)),
% 128.98/129.09     inference(scs_inference,[],[2,3,5,239,223,33,31,18,32,20,14,16,10,15,19])).
% 128.98/129.09  cnf(280,plain,
% 128.98/129.09     (~P2(x2801,a7)+~P2(f9(a1,a1),x2801)),
% 128.98/129.09     inference(scs_inference,[],[2,3,5,239,126,223,33,31,18,32,20,14,16,10,15,19,11,23])).
% 128.98/129.09  cnf(290,plain,
% 128.98/129.09     (P3(a1,f9(a4,a1))),
% 128.98/129.09     inference(scs_inference,[],[38,13])).
% 128.98/129.09  cnf(292,plain,
% 128.98/129.09     (~P3(a4,f9(a4,a1))),
% 128.98/129.09     inference(scs_inference,[],[38,34,13,20])).
% 128.98/129.09  cnf(305,plain,
% 128.98/129.09     (P2(a1,f3(a1,a1))),
% 128.98/129.09     inference(scs_inference,[],[40,213,22])).
% 128.98/129.09  cnf(307,plain,
% 128.98/129.09     (~P3(f9(a4,a1),a4)),
% 128.98/129.09     inference(scs_inference,[],[40,292,213,22,13])).
% 128.98/129.09  cnf(309,plain,
% 128.98/129.09     (~P3(a4,f3(a5,f6(a5)))),
% 128.98/129.09     inference(scs_inference,[],[40,34,169,292,213,22,13,20])).
% 128.98/129.09  cnf(311,plain,
% 128.98/129.09     (P1(f3(a5,a5))),
% 128.98/129.09     inference(scs_inference,[],[40,34,4,169,292,213,22,13,20,17])).
% 128.98/129.09  cnf(323,plain,
% 128.98/129.09     (P2(f3(a1,a2),f3(a1,a2))),
% 128.98/129.09     inference(scs_inference,[],[3,36,40,35,34,4,169,292,213,22,13,20,17,29,12,26,28,27,30])).
% 128.98/129.09  cnf(325,plain,
% 128.98/129.09     (P2(a1,f9(f3(a1,a1),f3(a1,a1)))),
% 128.98/129.09     inference(scs_inference,[],[3,36,40,35,34,4,169,292,213,22,13,20,17,29,12,26,28,27,30,25])).
% 128.98/129.09  cnf(327,plain,
% 128.98/129.09     (~P2(x3271,a7)+~P2(f3(a1,f6(a1)),x3271)),
% 128.98/129.09     inference(scs_inference,[],[3,36,40,35,34,4,169,292,213,102,22,13,20,17,29,12,26,28,27,30,25,23])).
% 128.98/129.09  cnf(335,plain,
% 128.98/129.09     (P1(f3(f3(a5,a5),f3(a5,a5)))),
% 128.98/129.09     inference(scs_inference,[],[3,38,311,29,17])).
% 128.98/129.09  cnf(337,plain,
% 128.98/129.09     (P3(f3(f9(a4,a1),a2),f3(a1,a2))),
% 128.98/129.09     inference(scs_inference,[],[3,38,311,29,17,28])).
% 128.98/129.10  cnf(343,plain,
% 128.98/129.10     (P2(f3(f3(a1,a2),a2),f3(f3(a1,a2),a2))),
% 128.98/129.10     inference(scs_inference,[],[3,38,311,323,29,17,28,26,27,30])).
% 128.98/129.10  cnf(345,plain,
% 128.98/129.10     (~P2(f3(a4,f6(a4)),a7)),
% 128.98/129.10     inference(scs_inference,[],[3,38,311,323,276,9,29,17,28,26,27,30,22])).
% 128.98/129.10  cnf(347,plain,
% 128.98/129.10     (P3(a1,f3(a1,a1))),
% 128.98/129.10     inference(scs_inference,[],[3,38,40,311,323,276,9,29,17,28,26,27,30,22,13])).
% 128.98/129.10  cnf(353,plain,
% 128.98/129.10     (~P3(f3(f3(a1,a1),a1),x3531)+P3(f3(a1,f3(a1,a1)),x3531)),
% 128.98/129.10     inference(scs_inference,[],[3,38,40,5,311,225,323,276,221,9,29,17,28,26,27,30,22,13,14,23,20])).
% 128.98/129.10  cnf(357,plain,
% 128.98/129.10     (~P3(f3(a5,f6(a5)),a4)),
% 128.98/129.10     inference(scs_inference,[],[309,13])).
% 128.98/129.10  cnf(359,plain,
% 128.98/129.10     (~P2(f9(f3(a1,a1),f3(a1,a1)),a7)),
% 128.98/129.10     inference(scs_inference,[],[325,309,9,13,23])).
% 128.98/129.10  cnf(361,plain,
% 128.98/129.10     (~P3(a1,f9(a4,a4))),
% 128.98/129.10     inference(scs_inference,[],[8,325,309,270,9,13,23,20])).
% 128.98/129.10  cnf(363,plain,
% 128.98/129.10     (P2(f6(a1),f6(a1))),
% 128.98/129.10     inference(scs_inference,[],[42,8,325,309,270,9,13,23,20,14])).
% 128.98/129.10  cnf(369,plain,
% 128.98/129.10     (P3(f9(a4,f6(a1)),f6(a1))),
% 128.98/129.10     inference(scs_inference,[],[42,8,343,325,309,270,9,13,23,20,14,21,10,16])).
% 128.98/129.10  cnf(371,plain,
% 128.98/129.10     (P3(f3(f6(a1),f6(f6(a1))),a1)),
% 128.98/129.10     inference(scs_inference,[],[42,8,343,325,309,270,9,13,23,20,14,21,10,16,19])).
% 128.98/129.10  cnf(375,plain,
% 128.98/129.10     (P3(f3(a1,f6(a1)),f6(a1))),
% 128.98/129.10     inference(scs_inference,[],[42,8,343,325,309,270,9,13,23,20,14,21,10,16,19,11,15])).
% 128.98/129.10  cnf(379,plain,
% 128.98/129.10     (~P3(x3791,f3(a4,f6(a4)))+~P2(x3791,a7)),
% 128.98/129.10     inference(scs_inference,[],[42,8,343,325,309,345,270,9,13,23,20,14,21,10,16,19,11,15,18,22])).
% 128.98/129.10  cnf(389,plain,
% 128.98/129.10     (P3(f9(f9(a1,a1),a1),f9(a1,f9(a1,a1)))),
% 128.98/129.10     inference(scs_inference,[],[227,149,18,13])).
% 128.98/129.10  cnf(401,plain,
% 128.98/129.10     (~P3(f9(a4,a4),a1)),
% 128.98/129.10     inference(scs_inference,[],[361,13])).
% 128.98/129.10  cnf(406,plain,
% 128.98/129.10     (P1(f8(f9(a4,a4)))),
% 128.98/129.10     inference(scs_inference,[],[401,262,12])).
% 128.98/129.10  cnf(408,plain,
% 128.98/129.10     (P3(a1,f3(a1,f6(a1)))),
% 128.98/129.10     inference(scs_inference,[],[44,401,262,12,13])).
% 128.98/129.10  cnf(410,plain,
% 128.98/129.10     (~P3(f3(a1,f6(a1)),a4)),
% 128.98/129.10     inference(scs_inference,[],[44,8,401,262,12,13,20])).
% 128.98/129.10  cnf(412,plain,
% 128.98/129.10     (P3(f9(f9(a4,a4),f8(f9(a4,a4))),a4)),
% 128.98/129.10     inference(scs_inference,[],[44,8,401,262,12,13,20,24])).
% 128.98/129.10  cnf(416,plain,
% 128.98/129.10     (P1(f3(f6(a1),f6(a1)))),
% 128.98/129.10     inference(scs_inference,[],[5,44,8,42,401,262,12,13,20,24,29,17])).
% 128.98/129.10  cnf(420,plain,
% 128.98/129.10     (P3(f3(f3(a1,f6(a1)),a7),f3(a1,a7))),
% 128.98/129.10     inference(scs_inference,[],[5,44,8,42,401,262,12,13,20,24,29,17,26,28])).
% 128.98/129.10  cnf(422,plain,
% 128.98/129.10     (P2(f3(a1,f6(a1)),f3(a1,f6(a1)))),
% 128.98/129.10     inference(scs_inference,[],[5,44,35,8,42,401,262,12,13,20,24,29,17,26,28,30])).
% 128.98/129.10  cnf(426,plain,
% 128.98/129.10     (P2(a1,f3(a1,f6(a1)))),
% 128.98/129.10     inference(scs_inference,[],[5,44,35,8,42,401,262,12,13,20,24,29,17,26,28,30,27,22])).
% 128.98/129.10  cnf(437,plain,
% 128.98/129.10     (P1(f3(f3(a1,a1),f3(a1,a1)))),
% 128.98/129.10     inference(scs_inference,[],[80,42,203,29,17])).
% 128.98/129.10  cnf(445,plain,
% 128.98/129.10     (P2(f3(a1,f6(a1)),f3(f3(a1,f6(a1)),f6(a1)))),
% 128.98/129.10     inference(scs_inference,[],[80,42,203,426,29,17,28,27,26,30])).
% 128.98/129.10  cnf(449,plain,
% 128.98/129.10     (~P3(a1,f9(f9(a4,a4),f8(f9(a4,a4))))),
% 128.98/129.10     inference(scs_inference,[],[8,80,42,203,412,426,410,29,17,28,27,26,30,13,20])).
% 128.98/129.10  cnf(455,plain,
% 128.98/129.10     (P3(f3(f3(a1,a1),f6(f3(a1,a1))),a1)),
% 128.98/129.10     inference(scs_inference,[],[8,80,42,406,203,412,426,410,29,17,28,27,26,30,13,20,14,10,19])).
% 128.98/129.10  cnf(457,plain,
% 128.98/129.10     (P3(f9(a4,f3(a1,a1)),f3(a1,a1))),
% 128.98/129.10     inference(scs_inference,[],[8,80,42,406,203,412,426,410,29,17,28,27,26,30,13,20,14,10,19,16])).
% 128.98/129.10  cnf(459,plain,
% 128.98/129.10     (P3(f3(a1,f3(a1,a1)),f3(a1,a1))),
% 128.98/129.10     inference(scs_inference,[],[8,80,42,406,203,412,426,410,29,17,28,27,26,30,13,20,14,10,19,16,15])).
% 128.98/129.10  cnf(465,plain,
% 128.98/129.10     (~P2(f3(f3(a1,f6(a1)),f6(a1)),a7)),
% 128.98/129.10     inference(scs_inference,[],[8,80,42,406,203,412,426,410,345,29,17,28,27,26,30,13,20,14,10,19,16,15,11,23,327])).
% 128.98/129.10  cnf(473,plain,
% 128.98/129.10     (P3(f3(a1,a1),f3(a1,f3(a1,a1)))),
% 128.98/129.10     inference(scs_inference,[],[80,459,221,22,13])).
% 128.98/129.10  cnf(475,plain,
% 128.98/129.10     (P3(f3(a1,f3(a1,a1)),a1)),
% 128.98/129.10     inference(scs_inference,[],[40,80,459,221,22,13,20])).
% 128.98/129.10  cnf(487,plain,
% 128.98/129.10     (P1(f9(f3(a2,a2),f3(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[86,18])).
% 128.98/129.10  cnf(489,plain,
% 128.98/129.10     (P2(a1,f3(f3(a1,f6(a1)),f6(a1)))),
% 128.98/129.10     inference(scs_inference,[],[44,86,445,18,22])).
% 128.98/129.10  cnf(493,plain,
% 128.98/129.10     (~P3(f3(a1,f3(a1,a1)),a4)),
% 128.98/129.10     inference(scs_inference,[],[44,473,86,449,144,445,18,22,13,20])).
% 128.98/129.10  cnf(495,plain,
% 128.98/129.10     (~P2(f9(a1,a1),x4951)+P2(f3(a5,f6(a2)),x4951)),
% 128.98/129.10     inference(scs_inference,[],[44,473,86,449,144,445,155,18,22,13,20,23])).
% 128.98/129.10  cnf(497,plain,
% 128.98/129.10     (~P3(f3(f3(a1,a1),a1),a4)),
% 128.98/129.10     inference(scs_inference,[],[44,473,86,449,144,445,155,18,22,13,20,23,353])).
% 128.98/129.10  cnf(507,plain,
% 128.98/129.10     (~P2(f9(a4,f3(a1,a1)),a7)),
% 128.98/129.10     inference(scs_inference,[],[457,142,22])).
% 128.98/129.10  cnf(509,plain,
% 128.98/129.10     (P3(f3(a1,a1),f9(a4,f3(a1,a1)))),
% 128.98/129.10     inference(scs_inference,[],[457,142,22,13])).
% 128.98/129.10  cnf(511,plain,
% 128.98/129.10     (~P3(f3(a1,f3(a1,a1)),f3(a1,a4))),
% 128.98/129.10     inference(scs_inference,[],[457,493,274,142,22,13,20])).
% 128.98/129.10  cnf(519,plain,
% 128.98/129.10     (P2(f3(a5,f6(a2)),a1)),
% 128.98/129.10     inference(scs_inference,[],[80,100,22])).
% 128.98/129.10  cnf(521,plain,
% 128.98/129.10     (~P3(f3(a1,a4),f3(a1,f3(a1,a1)))),
% 128.98/129.10     inference(scs_inference,[],[80,511,100,22,13])).
% 128.98/129.10  cnf(523,plain,
% 128.98/129.10     (P3(a1,f9(a4,f3(a1,a1)))),
% 128.98/129.10     inference(scs_inference,[],[80,509,511,347,100,22,13,20])).
% 128.98/129.10  cnf(525,plain,
% 128.98/129.10     (P2(f9(a2,a2),f9(a2,a2))),
% 128.98/129.10     inference(scs_inference,[],[84,80,509,511,347,100,22,13,20,14])).
% 128.98/129.10  cnf(529,plain,
% 128.98/129.10     (P3(f3(f9(a2,a2),f6(f9(a2,a2))),a1)),
% 128.98/129.10     inference(scs_inference,[],[84,80,509,511,347,100,22,13,20,14,10,19])).
% 128.98/129.10  cnf(531,plain,
% 128.98/129.10     (P3(f9(a4,f9(a2,a2)),f9(a2,a2))),
% 128.98/129.10     inference(scs_inference,[],[84,80,509,511,347,100,22,13,20,14,10,19,16])).
% 128.98/129.10  cnf(533,plain,
% 128.98/129.10     (P3(f3(a1,f9(a2,a2)),f9(a2,a2))),
% 128.98/129.10     inference(scs_inference,[],[84,80,509,511,347,100,22,13,20,14,10,19,16,15])).
% 128.98/129.10  cnf(537,plain,
% 128.98/129.10     (P1(f3(f9(a2,a2),f9(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[84,36,80,509,511,347,100,22,13,20,14,10,19,16,15,29,17])).
% 128.98/129.10  cnf(547,plain,
% 128.98/129.10     (P2(f3(a1,f9(a2,a2)),f3(a1,f9(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[35,84,36,80,487,509,511,88,347,100,22,13,20,14,10,19,16,15,29,17,11,27,26,28,30])).
% 128.98/129.10  cnf(558,plain,
% 128.98/129.10     (P1(f3(f6(a5),f6(a5)))),
% 128.98/129.10     inference(scs_inference,[],[161,17])).
% 128.98/129.10  cnf(560,plain,
% 128.98/129.10     (P3(f9(f9(a4,a1),f9(a2,a2)),f9(a1,f9(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[38,84,161,17,29])).
% 128.98/129.10  cnf(566,plain,
% 128.98/129.10     (P2(f3(a1,f9(a2,a2)),f3(f9(a1,a1),f9(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[38,82,84,161,17,29,27,26,30])).
% 128.98/129.10  cnf(568,plain,
% 128.98/129.10     (P3(f3(f9(a4,a1),f9(a2,a2)),f3(a1,f9(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[38,82,84,161,17,29,27,26,30,28])).
% 128.98/129.10  cnf(570,plain,
% 128.98/129.10     (P3(f9(a2,a2),f9(a4,f9(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[38,82,84,531,161,17,29,27,26,30,28,13])).
% 128.98/129.10  cnf(572,plain,
% 128.98/129.10     (~P3(a1,f3(a1,a4))),
% 128.98/129.10     inference(scs_inference,[],[38,82,84,531,161,475,511,17,29,27,26,30,28,13,20])).
% 128.98/129.10  cnf(583,plain,
% 128.98/129.10     (P2(f9(a4,f9(a2,a2)),f9(a2,a2))),
% 128.98/129.10     inference(scs_inference,[],[570,525,22])).
% 128.98/129.10  cnf(585,plain,
% 128.98/129.10     (~P3(a4,f3(f3(a1,a1),a1))),
% 128.98/129.10     inference(scs_inference,[],[570,497,525,22,13])).
% 128.98/129.10  cnf(587,plain,
% 128.98/129.10     (~P3(f3(a1,a4),f3(a1,a1))),
% 128.98/129.10     inference(scs_inference,[],[570,521,497,525,473,22,13,20])).
% 128.98/129.10  cnf(589,plain,
% 128.98/129.10     (~P3(f3(f3(a1,a1),a1),f3(a1,a4))),
% 128.98/129.10     inference(scs_inference,[],[570,521,497,525,473,511,22,13,20,353])).
% 128.98/129.10  cnf(591,plain,
% 128.98/129.10     (P1(f9(f9(a7,a7),f9(a7,a7)))),
% 128.98/129.10     inference(scs_inference,[],[570,521,173,497,525,473,511,22,13,20,353,18])).
% 128.98/129.10  cnf(598,plain,
% 128.98/129.10     (P3(f3(a1,f9(a2,a2)),f3(f9(a4,a1),f9(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[568,179,18,13])).
% 128.98/129.10  cnf(602,plain,
% 128.98/129.10     (P3(f3(a1,f9(a2,a2)),f9(a4,f9(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[568,533,179,519,489,570,18,13,23,20])).
% 128.98/129.10  cnf(604,plain,
% 128.98/129.10     (~P3(x6041,f3(f3(a1,f6(a1)),f6(a1)))+~P2(x6041,a7)),
% 128.98/129.10     inference(scs_inference,[],[568,533,179,519,489,570,465,18,13,23,20,22])).
% 128.98/129.10  cnf(615,plain,
% 128.98/129.10     (~P3(f3(a1,a1),f3(a1,a4))),
% 128.98/129.10     inference(scs_inference,[],[566,598,587,22,13])).
% 128.98/129.10  cnf(617,plain,
% 128.98/129.10     (P2(f8(a4),f8(a4))),
% 128.98/129.10     inference(scs_inference,[],[88,566,598,587,22,13,14])).
% 128.98/129.10  cnf(619,plain,
% 128.98/129.10     (~P3(f3(a1,f6(a1)),f3(a1,a4))),
% 128.98/129.10     inference(scs_inference,[],[88,566,598,408,587,572,22,13,14,20])).
% 128.98/129.10  cnf(621,plain,
% 128.98/129.10     (P1(f6(f8(a4)))),
% 128.98/129.10     inference(scs_inference,[],[88,566,598,408,587,572,22,13,14,20,10])).
% 128.98/129.10  cnf(623,plain,
% 128.98/129.10     (P3(f3(f8(a4),f6(f8(a4))),a1)),
% 128.98/129.10     inference(scs_inference,[],[88,566,598,408,587,572,22,13,14,20,10,19])).
% 128.98/129.10  cnf(625,plain,
% 128.98/129.10     (P3(f3(a1,f8(a4)),f8(a4))),
% 128.98/129.10     inference(scs_inference,[],[88,566,598,408,587,572,22,13,14,20,10,19,15])).
% 128.98/129.10  cnf(627,plain,
% 128.98/129.10     (P3(f9(a4,f8(a4)),f8(a4))),
% 128.98/129.10     inference(scs_inference,[],[88,566,598,408,587,572,22,13,14,20,10,19,15,16])).
% 128.98/129.10  cnf(629,plain,
% 128.98/129.10     (P3(f8(a4),f8(a4))),
% 128.98/129.10     inference(scs_inference,[],[88,566,598,408,587,572,22,13,14,20,10,19,15,16,11])).
% 128.98/129.10  cnf(635,plain,
% 128.98/129.10     (P2(f9(a4,f3(a1,a1)),f9(a1,a1))),
% 128.98/129.10     inference(scs_inference,[],[82,523,22])).
% 128.98/129.10  cnf(643,plain,
% 128.98/129.10     (P3(f9(f9(a4,a1),f3(a2,a2)),f9(a1,f3(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[38,86,82,560,585,523,225,22,13,20,17,29])).
% 128.98/129.10  cnf(647,plain,
% 128.98/129.10     (P2(f3(a1,f3(a2,a2)),f3(f9(a1,a1),f3(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[38,86,82,560,585,523,225,22,13,20,17,29,26,30])).
% 128.98/129.10  cnf(651,plain,
% 128.98/129.10     (P3(f3(f9(a4,a1),f3(a2,a2)),f3(a1,f3(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[38,86,88,82,560,585,523,225,22,13,20,17,29,26,30,27,28])).
% 128.98/129.10  cnf(660,plain,
% 128.98/129.10     (P1(f3(f8(a4),f8(a4)))),
% 128.98/129.10     inference(scs_inference,[],[88,17])).
% 128.98/129.10  cnf(662,plain,
% 128.98/129.10     (P3(f9(f3(a1,a1),f3(a2,a2)),f9(a1,f3(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[40,86,88,17,29])).
% 128.98/129.10  cnf(670,plain,
% 128.98/129.10     (P3(f3(f3(a1,a1),f3(a2,a2)),f3(a1,f3(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[40,86,88,583,272,17,29,26,27,30,28])).
% 128.98/129.10  cnf(676,plain,
% 128.98/129.10     (P3(f3(a1,a1),f9(a4,a1))),
% 128.98/129.10     inference(scs_inference,[],[40,86,88,583,589,272,290,519,426,17,29,26,27,30,28,13,23,20])).
% 128.98/129.10  cnf(682,plain,
% 128.98/129.10     (P2(f9(a4,f9(a2,a2)),f3(a1,f9(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[602,547,22])).
% 128.98/129.10  cnf(684,plain,
% 128.98/129.10     (P3(f9(a7,a2),f9(f3(a5,f6(a2)),a2))),
% 128.98/129.10     inference(scs_inference,[],[90,602,547,22,13])).
% 128.98/129.10  cnf(686,plain,
% 128.98/129.10     (~P3(f9(a4,a1),f3(a1,a4))),
% 128.98/129.10     inference(scs_inference,[],[90,676,602,615,547,22,13,20])).
% 128.98/129.10  cnf(688,plain,
% 128.98/129.10     (P1(f9(f8(a4),f8(a4)))),
% 128.98/129.10     inference(scs_inference,[],[90,88,676,602,615,547,22,13,20,18])).
% 128.98/129.10  cnf(707,plain,
% 128.98/129.10     (~P3(f3(a1,f6(a1)),f9(a4,f8(a4)))),
% 128.98/129.10     inference(scs_inference,[],[619,408,217,272,18,13,20])).
% 128.98/129.10  cnf(709,plain,
% 128.98/129.10     (P1(f6(f3(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[86,619,408,217,272,18,13,20,10])).
% 128.98/129.10  cnf(711,plain,
% 128.98/129.10     (P3(f3(f3(a2,a2),f6(f3(a2,a2))),a1)),
% 128.98/129.10     inference(scs_inference,[],[86,619,408,217,272,18,13,20,10,19])).
% 128.98/129.10  cnf(713,plain,
% 128.98/129.10     (P3(f9(a4,f3(a2,a2)),f3(a2,a2))),
% 128.98/129.10     inference(scs_inference,[],[86,619,408,217,272,18,13,20,10,19,16])).
% 128.98/129.10  cnf(715,plain,
% 128.98/129.10     (P3(f3(a1,f3(a2,a2)),f3(a2,a2))),
% 128.98/129.10     inference(scs_inference,[],[86,619,408,217,272,18,13,20,10,19,16,15])).
% 128.98/129.10  cnf(728,plain,
% 128.98/129.10     (P2(f9(a4,f9(a2,a2)),f3(f9(a1,a1),f9(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[92,682,566,13,23])).
% 128.98/129.10  cnf(736,plain,
% 128.98/129.10     (P2(f3(a2,a2),f3(f9(a1,a1),f3(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[715,647,22])).
% 128.98/129.10  cnf(740,plain,
% 128.98/129.10     (P2(f3(a2,a2),f3(a2,a2))),
% 128.98/129.10     inference(scs_inference,[],[86,707,715,647,22,13,14])).
% 128.98/129.10  cnf(742,plain,
% 128.98/129.10     (P3(f3(f3(a1,a1),f3(a2,a2)),f3(a2,a2))),
% 128.98/129.10     inference(scs_inference,[],[86,707,715,670,647,22,13,14,20])).
% 128.98/129.10  cnf(744,plain,
% 128.98/129.10     (P1(f3(f9(a5,a5),f9(a5,a5)))),
% 128.98/129.10     inference(scs_inference,[],[86,707,715,670,647,149,22,13,14,20,17])).
% 128.98/129.10  cnf(746,plain,
% 128.98/129.10     (P3(f9(f3(a1,f6(a1)),f8(a4)),f9(a1,f8(a4)))),
% 128.98/129.10     inference(scs_inference,[],[44,88,86,707,715,670,647,149,22,13,14,20,17,29])).
% 128.98/129.10  cnf(752,plain,
% 128.98/129.10     (P2(f3(a1,f8(a4)),f3(f9(a1,a1),f8(a4)))),
% 128.98/129.10     inference(scs_inference,[],[44,88,82,86,707,715,670,647,149,22,13,14,20,17,29,27,26,30])).
% 128.98/129.10  cnf(754,plain,
% 128.98/129.10     (P3(f3(f3(a1,f6(a1)),f8(a4)),f3(a1,f8(a4)))),
% 128.98/129.10     inference(scs_inference,[],[44,88,82,86,707,715,670,647,149,22,13,14,20,17,29,27,26,30,28])).
% 128.98/129.10  cnf(783,plain,
% 128.98/129.10     (P1(f3(f9(a7,a7),f9(a7,a7)))),
% 128.98/129.10     inference(scs_inference,[],[173,17])).
% 128.98/129.10  cnf(785,plain,
% 128.98/129.10     (P3(f9(f9(a4,f8(a4)),f8(a4)),f9(a4,f8(a4)))),
% 128.98/129.10     inference(scs_inference,[],[94,88,173,17,29])).
% 128.98/129.10  cnf(795,plain,
% 128.98/129.10     (P3(a4,f9(a4,f8(a4)))),
% 128.98/129.10     inference(scs_inference,[],[94,88,740,173,17,29,26,27,28,30,13])).
% 128.98/129.10  cnf(799,plain,
% 128.98/129.10     (~P3(f3(a5,f6(a5)),f9(a4,f8(a4)))),
% 128.98/129.10     inference(scs_inference,[],[94,88,740,357,173,17,29,26,27,28,30,13,21,20])).
% 128.98/129.10  cnf(807,plain,
% 128.98/129.10     (P2(f8(a4),f3(f9(a1,a1),f8(a4)))),
% 128.98/129.10     inference(scs_inference,[],[752,625,22])).
% 128.98/129.10  cnf(809,plain,
% 128.98/129.10     (~P3(f9(a4,f8(a4)),f3(a5,f6(a5)))),
% 128.98/129.10     inference(scs_inference,[],[799,752,625,22,13])).
% 128.98/129.10  cnf(815,plain,
% 128.98/129.10     (P3(f3(f3(a7,a7),f6(f3(a7,a7))),a1)),
% 128.98/129.10     inference(scs_inference,[],[90,744,799,752,684,625,179,22,13,20,10,19])).
% 128.98/129.10  cnf(817,plain,
% 128.98/129.10     (P3(f9(a4,f3(a7,a7)),f3(a7,a7))),
% 128.98/129.10     inference(scs_inference,[],[90,744,799,752,684,625,179,22,13,20,10,19,16])).
% 128.98/129.10  cnf(819,plain,
% 128.98/129.10     (P3(f3(a1,f3(a7,a7)),f3(a7,a7))),
% 128.98/129.10     inference(scs_inference,[],[90,744,799,752,684,625,179,22,13,20,10,19,16,15])).
% 128.98/129.10  cnf(823,plain,
% 128.98/129.10     (P1(f9(f9(a4,a4),f9(a4,a4)))),
% 128.98/129.10     inference(scs_inference,[],[90,744,709,799,752,684,625,179,262,22,13,20,10,19,16,15,11,18])).
% 128.98/129.10  cnf(827,plain,
% 128.98/129.10     (P2(f3(f9(a5,a5),f9(a5,a5)),f3(f9(a5,a5),f9(a5,a5)))),
% 128.98/129.10     inference(scs_inference,[],[90,744,709,736,799,752,684,625,179,262,22,13,20,10,19,16,15,11,18,21,14])).
% 128.98/129.10  cnf(831,plain,
% 128.98/129.10     (~P2(f3(f9(a2,a2),f6(f9(a2,a2))),a7)),
% 128.98/129.10     inference(scs_inference,[],[529,311,9,18,22])).
% 128.98/129.10  cnf(833,plain,
% 128.98/129.10     (P3(f3(f3(a2,a2),a2),f3(a2,f3(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[96,529,311,9,18,22,13])).
% 128.98/129.10  cnf(845,plain,
% 128.98/129.10     (P2(f9(a2,a2),f3(f9(a1,a1),f9(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[728,531,22])).
% 128.98/129.10  cnf(847,plain,
% 128.98/129.10     (~P3(f3(a1,a4),f9(a4,a1))),
% 128.98/129.10     inference(scs_inference,[],[728,686,531,22,13])).
% 128.98/129.10  cnf(849,plain,
% 128.98/129.10     (~P3(f3(a5,f6(a5)),f9(f9(a4,f8(a4)),f8(a4)))),
% 128.98/129.10     inference(scs_inference,[],[785,728,686,531,799,22,13,20])).
% 128.98/129.10  cnf(858,plain,
% 128.98/129.10     (~P2(f3(f8(a4),f6(f8(a4))),a7)),
% 128.98/129.10     inference(scs_inference,[],[623,9,22])).
% 128.98/129.10  cnf(862,plain,
% 128.98/129.10     (P3(f3(a2,a2),f3(f3(a1,a1),f3(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[742,623,519,325,9,22,23,13])).
% 128.98/129.10  cnf(864,plain,
% 128.98/129.10     (P2(f3(f9(a7,a7),f9(a7,a7)),f3(f9(a7,a7),f9(a7,a7)))),
% 128.98/129.10     inference(scs_inference,[],[783,742,623,519,325,9,22,23,13,14])).
% 128.98/129.10  cnf(868,plain,
% 128.98/129.10     (P1(f3(f6(a4),f6(a4)))),
% 128.98/129.10     inference(scs_inference,[],[96,783,742,833,623,519,325,272,9,22,23,13,14,20,17])).
% 128.98/129.10  cnf(874,plain,
% 128.98/129.10     (P2(f3(a1,f6(a5)),f3(f9(a1,a1),f6(a5)))),
% 128.98/129.10     inference(scs_inference,[],[82,96,783,742,833,623,519,325,161,272,262,9,22,23,13,14,20,17,27,26,30])).
% 128.98/129.10  cnf(878,plain,
% 128.98/129.10     (P3(f9(f9(a4,f8(a4)),f9(a2,a2)),f9(a4,f9(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[82,96,94,84,783,845,742,833,623,519,325,161,272,262,9,22,23,13,14,20,17,27,26,30,21,29])).
% 128.98/129.10  cnf(880,plain,
% 128.98/129.10     (P3(f3(f9(a4,f8(a4)),f9(a2,a2)),f3(a4,f9(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[82,96,94,84,783,845,742,833,623,519,325,161,272,262,9,22,23,13,14,20,17,27,26,30,21,29,28])).
% 128.98/129.10  cnf(882,plain,
% 128.98/129.10     (P1(f3(f3(a7,a7),f3(a7,a7)))),
% 128.98/129.10     inference(scs_inference,[],[179,17])).
% 128.98/129.10  cnf(886,plain,
% 128.98/129.10     (P2(f3(a7,f9(a2,a2)),f3(a1,f9(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[84,100,179,17,26,30])).
% 128.98/129.10  cnf(888,plain,
% 128.98/129.10     (~P2(f3(f3(a1,a1),f6(f3(a1,a1))),a7)),
% 128.98/129.10     inference(scs_inference,[],[84,100,455,179,9,17,26,30,22])).
% 128.98/129.10  cnf(892,plain,
% 128.98/129.10     (P3(f3(f3(a1,f6(a1)),f8(a4)),f8(a4))),
% 128.98/129.10     inference(scs_inference,[],[84,100,754,849,455,625,179,9,17,26,30,22,13,20])).
% 128.98/129.10  cnf(896,plain,
% 128.98/129.10     (P3(f3(f3(a5,a5),f6(f3(a5,a5))),a1)),
% 128.98/129.10     inference(scs_inference,[],[84,100,823,754,849,455,625,311,179,9,17,26,30,22,13,20,10,19])).
% 128.98/129.10  cnf(898,plain,
% 128.98/129.10     (P3(f9(a4,f3(a5,a5)),f3(a5,a5))),
% 128.98/129.10     inference(scs_inference,[],[84,100,823,754,849,455,625,311,179,9,17,26,30,22,13,20,10,19,16])).
% 128.98/129.10  cnf(913,plain,
% 128.98/129.10     (P2(f3(a1,a1),f9(a1,a1))),
% 128.98/129.10     inference(scs_inference,[],[635,457,22])).
% 128.98/129.10  cnf(917,plain,
% 128.98/129.10     (~P3(a1,f9(f9(a4,f8(a4)),f8(a4)))),
% 128.98/129.10     inference(scs_inference,[],[662,635,849,169,457,22,13,20])).
% 128.98/129.10  cnf(919,plain,
% 128.98/129.10     (P1(f9(f6(a5),f6(a5)))),
% 128.98/129.10     inference(scs_inference,[],[662,635,849,169,457,161,22,13,20,18])).
% 128.98/129.10  cnf(931,plain,
% 128.98/129.10     (P2(a7,f3(f3(a1,f6(a1)),f6(a1)))),
% 128.98/129.10     inference(scs_inference,[],[100,862,736,489,203,18,22,23])).
% 128.98/129.10  cnf(935,plain,
% 128.98/129.10     (P2(a7,f9(f3(a1,a1),f3(a1,a1)))),
% 128.98/129.10     inference(scs_inference,[],[100,862,917,736,489,359,203,5,18,22,23,13,14])).
% 128.98/129.10  cnf(937,plain,
% 128.98/129.10     (P3(f9(a4,f3(a2,a2)),f3(f3(a1,a1),f3(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[100,862,713,917,736,489,359,203,5,18,22,23,13,14,20])).
% 128.98/129.10  cnf(941,plain,
% 128.98/129.10     (~P2(f3(f3(a2,a2),f6(f3(a2,a2))),a7)),
% 128.98/129.10     inference(scs_inference,[],[711,9,22])).
% 128.98/129.10  cnf(943,plain,
% 128.98/129.10     (P3(f8(a4),f9(a4,f8(a4)))),
% 128.98/129.10     inference(scs_inference,[],[627,711,9,22,13])).
% 128.98/129.10  cnf(953,plain,
% 128.98/129.10     (P2(f9(a4,f8(a4)),a4)),
% 128.98/129.10     inference(scs_inference,[],[795,199,22])).
% 128.98/129.10  cnf(955,plain,
% 128.98/129.10     (~P3(f3(a1,a4),a1)),
% 128.98/129.10     inference(scs_inference,[],[795,199,572,22,13])).
% 128.98/129.10  cnf(957,plain,
% 128.98/129.10     (~P3(f9(a4,f3(a1,a1)),f9(f9(a4,f8(a4)),f8(a4)))),
% 128.98/129.10     inference(scs_inference,[],[795,199,917,523,572,22,13,20])).
% 128.98/129.10  cnf(959,plain,
% 128.98/129.10     (P3(f3(f9(a5,a5),f6(f9(a5,a5))),a1)),
% 128.98/129.10     inference(scs_inference,[],[795,199,917,523,572,149,22,13,20,19])).
% 128.98/129.10  cnf(963,plain,
% 128.98/129.10     (P3(f9(a4,f9(a5,a5)),f9(a5,a5))),
% 128.98/129.10     inference(scs_inference,[],[868,795,199,917,523,572,149,22,13,20,19,10,16])).
% 128.98/129.10  cnf(969,plain,
% 128.98/129.10     (P1(f3(f9(a4,a4),f9(a4,a4)))),
% 128.98/129.10     inference(scs_inference,[],[868,795,621,199,917,523,572,149,262,22,13,20,19,10,16,11,15,17])).
% 128.98/129.10  cnf(975,plain,
% 128.98/129.10     (P2(f3(a7,f8(a4)),f3(a1,f8(a4)))),
% 128.98/129.10     inference(scs_inference,[],[88,104,100,868,795,621,199,917,523,572,149,262,22,13,20,19,10,16,11,15,17,29,28,30])).
% 128.98/129.10  cnf(989,plain,
% 128.98/129.10     (P1(f3(a4,a4))),
% 128.98/129.10     inference(scs_inference,[],[2,17])).
% 128.98/129.10  cnf(993,plain,
% 128.98/129.10     (P2(f9(a4,f8(a4)),f8(a4))),
% 128.98/129.10     inference(scs_inference,[],[88,935,943,617,2,17,30,22])).
% 128.98/129.10  cnf(997,plain,
% 128.98/129.10     (P3(f9(a4,f9(a2,a2)),f9(f9(a4,f8(a4)),f9(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[88,935,975,878,943,617,752,2,17,30,22,23,13])).
% 128.98/129.10  cnf(999,plain,
% 128.98/129.10     (P3(f8(a4),a4)),
% 128.98/129.10     inference(scs_inference,[],[88,94,935,975,878,943,617,752,2,17,30,22,23,13,20])).
% 128.98/129.10  cnf(1007,plain,
% 128.98/129.10     (P3(f8(a4),a1)+P3(f9(f8(a4),f8(f8(a4))),a4)),
% 128.98/129.10     inference(scs_inference,[],[88,94,935,975,878,943,941,617,752,2,5,17,30,22,23,13,20,26,27,14,24])).
% 128.98/129.10  cnf(1009,plain,
% 128.98/129.10     (P3(f8(a4),a1)+P1(f8(f8(a4)))),
% 128.98/129.10     inference(scs_inference,[],[88,94,935,975,878,943,941,617,752,2,5,17,30,22,23,13,20,26,27,14,24,12])).
% 128.98/129.10  cnf(1013,plain,
% 128.98/129.10     (~P2(f3(f3(a7,a7),f6(f3(a7,a7))),a7)),
% 128.98/129.10     inference(scs_inference,[],[815,9,22])).
% 128.98/129.10  cnf(1015,plain,
% 128.98/129.10     (~P3(f9(f9(a4,f8(a4)),f8(a4)),f9(a4,f3(a1,a1)))),
% 128.98/129.10     inference(scs_inference,[],[957,815,9,22,13])).
% 128.98/129.10  cnf(1019,plain,
% 128.98/129.10     (P1(f9(f3(a4,a4),f3(a4,a4)))),
% 128.98/129.10     inference(scs_inference,[],[989,997,957,815,878,9,22,13,20,18])).
% 128.98/129.10  cnf(1027,plain,
% 128.98/129.10     (P1(f9(a1,a1))),
% 128.98/129.10     inference(scs_inference,[],[1,18])).
% 128.98/129.10  cnf(1031,plain,
% 128.98/129.10     (P2(f9(a4,f8(a4)),f3(f9(a1,a1),f8(a4)))),
% 128.98/129.10     inference(scs_inference,[],[106,993,807,862,1,18,22,23])).
% 128.98/129.10  cnf(1033,plain,
% 128.98/129.10     (P3(f3(f3(a1,a1),f3(a2,a2)),f9(a4,f3(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[106,937,993,807,862,1,18,22,23,13])).
% 128.98/129.10  cnf(1037,plain,
% 128.98/129.10     (~P3(f9(f9(a4,f8(a4)),f8(a4)),f3(a1,a1))),
% 128.98/129.10     inference(scs_inference,[],[106,882,937,1015,993,807,509,862,1,18,22,23,13,14,20])).
% 128.98/129.10  cnf(1043,plain,
% 128.98/129.10     (P2(a4,f3(f9(a1,a1),f8(a4)))),
% 128.98/129.10     inference(scs_inference,[],[94,1031,22])).
% 128.98/129.10  cnf(1051,plain,
% 128.98/129.10     (P3(f3(f9(a1,a1),f6(f9(a1,a1))),a1)),
% 128.98/129.10     inference(scs_inference,[],[94,1031,1033,1037,886,1027,937,566,22,13,23,20,19])).
% 128.98/129.10  cnf(1053,plain,
% 128.98/129.10     (P1(f6(f9(f6(a5),f6(a5))))),
% 128.98/129.10     inference(scs_inference,[],[94,919,1031,1033,1037,886,1027,937,566,22,13,23,20,19,10])).
% 128.98/129.10  cnf(1055,plain,
% 128.98/129.10     (P3(f9(a4,f9(a1,a1)),f9(a1,a1))),
% 128.98/129.10     inference(scs_inference,[],[94,919,1031,1033,1037,886,1027,937,566,22,13,23,20,19,10,16])).
% 128.98/129.10  cnf(1057,plain,
% 128.98/129.10     (P3(f3(a1,f9(a1,a1)),f9(a1,a1))),
% 128.98/129.10     inference(scs_inference,[],[94,919,1031,1033,1037,886,1027,937,566,22,13,23,20,19,10,16,15])).
% 128.98/129.10  cnf(1077,plain,
% 128.98/129.10     (~P2(f9(a4,f9(a1,a1)),a7)),
% 128.98/129.10     inference(scs_inference,[],[1055,126,22])).
% 128.98/129.10  cnf(1079,plain,
% 128.98/129.10     (P3(f3(a1,a7),f3(f3(a1,f6(a1)),a7))),
% 128.98/129.10     inference(scs_inference,[],[420,1055,126,22,13])).
% 128.98/129.10  cnf(1081,plain,
% 128.98/129.10     (P3(f3(f9(a4,a1),f3(a2,a2)),f3(a2,a2))),
% 128.98/129.10     inference(scs_inference,[],[420,651,1055,126,715,22,13,20])).
% 128.98/129.10  cnf(1083,plain,
% 128.98/129.10     (P1(f3(f3(a4,a4),f3(a4,a4)))),
% 128.98/129.10     inference(scs_inference,[],[420,651,1055,989,126,715,22,13,20,17])).
% 128.98/129.10  cnf(1102,plain,
% 128.98/129.10     (P1(f3(f9(a1,a1),f9(a1,a1)))),
% 128.98/129.10     inference(scs_inference,[],[1027,17])).
% 128.98/129.10  cnf(1104,plain,
% 128.98/129.10     (P2(a4,f8(a4))),
% 128.98/129.10     inference(scs_inference,[],[94,993,1027,17,22])).
% 128.98/129.10  cnf(1106,plain,
% 128.98/129.10     (P2(f3(f9(a4,a4),f9(a4,a4)),f3(f9(a4,a4),f9(a4,a4)))),
% 128.98/129.10     inference(scs_inference,[],[94,969,993,1027,17,22,14])).
% 128.98/129.10  cnf(1110,plain,
% 128.98/129.10     (~P3(f9(a4,f8(a4)),f3(f3(a1,a1),a1))),
% 128.98/129.10     inference(scs_inference,[],[94,969,993,497,1027,17,22,14,20,13])).
% 128.98/129.10  cnf(1124,plain,
% 128.98/129.10     (~P2(f3(a1,f9(a1,a1)),a7)),
% 128.98/129.10     inference(scs_inference,[],[1057,126,22])).
% 128.98/129.10  cnf(1126,plain,
% 128.98/129.10     (P3(f3(a2,a2),f3(f9(a4,a1),f3(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[1081,1057,126,22,13])).
% 128.98/129.10  cnf(1128,plain,
% 128.98/129.10     (~P3(f9(a4,a1),f9(f9(a4,a4),f8(f9(a4,a4))))),
% 128.98/129.10     inference(scs_inference,[],[1081,1057,412,307,126,22,13,20])).
% 128.98/129.10  cnf(1143,plain,
% 128.98/129.10     (P3(f3(f3(a5,a5),f6(f3(a5,a5))),f3(a1,a1))),
% 128.98/129.10     inference(scs_inference,[],[1128,896,347,9,22,13,20])).
% 128.98/129.10  cnf(1145,plain,
% 128.98/129.10     (P3(f3(f9(a7,a7),f6(f9(a7,a7))),a1)),
% 128.98/129.10     inference(scs_inference,[],[1128,896,347,173,9,22,13,20,19])).
% 128.98/129.10  cnf(1149,plain,
% 128.98/129.10     (P3(f9(a4,f9(a7,a7)),f9(a7,a7))),
% 128.98/129.10     inference(scs_inference,[],[1019,1128,896,347,173,9,22,13,20,19,10,16])).
% 128.98/129.10  cnf(1151,plain,
% 128.98/129.10     (P3(f3(a1,f9(a7,a7)),f9(a7,a7))),
% 128.98/129.10     inference(scs_inference,[],[1019,1128,896,347,173,9,22,13,20,19,10,16,15])).
% 128.98/129.10  cnf(1153,plain,
% 128.98/129.10     (P3(f6(a4),f6(a4))),
% 128.98/129.10     inference(scs_inference,[],[1019,1128,896,347,173,272,9,22,13,20,19,10,16,15,11])).
% 128.98/129.10  cnf(1158,plain,
% 128.98/129.10     (P2(f8(a4),a4)),
% 128.98/129.10     inference(scs_inference,[],[953,627,22])).
% 128.98/129.10  cnf(1160,plain,
% 128.98/129.10     (P2(a7,f3(a1,f6(a1)))),
% 128.98/129.10     inference(scs_inference,[],[100,953,627,426,22,23])).
% 128.98/129.10  cnf(1162,plain,
% 128.98/129.10     (P3(f3(a1,a1),f3(f3(a5,a5),f6(f3(a5,a5))))),
% 128.98/129.10     inference(scs_inference,[],[100,1143,953,627,426,22,23,13])).
% 128.98/129.10  cnf(1164,plain,
% 128.98/129.10     (~P3(f9(a4,f8(a4)),f3(a1,f3(a1,a1)))),
% 128.98/129.10     inference(scs_inference,[],[100,1143,1110,953,627,225,426,22,23,13,20])).
% 128.98/129.10  cnf(1171,plain,
% 128.98/129.10     (~P3(x11711,x11712)+P2(x11712,x11713)+~P2(x11711,x11713)),
% 128.98/129.10     inference(rename_variables,[],[22])).
% 128.98/129.10  cnf(1172,plain,
% 128.98/129.10     (~P3(f3(a1,f3(a1,a1)),f9(a4,f8(a4)))),
% 128.98/129.10     inference(scs_inference,[],[118,1164,827,22,13])).
% 128.98/129.10  cnf(1176,plain,
% 128.98/129.10     (P3(f9(a4,f3(a2,a2)),f3(a1,f3(a2,a2)))),
% 128.98/129.10     inference(scs_inference,[],[118,1083,1164,827,670,937,22,13,14,20])).
% 128.98/129.10  cnf(1178,plain,
% 128.98/129.10     (~P2(f3(f9(a2,a2),f9(a2,a2)),x11781)+P2(f9(f3(a2,a2),a2),x11781)),
% 128.98/129.10     inference(scs_inference,[],[98,118,1083,1164,827,670,937,22,13,14,20,1171])).
% 128.98/129.10  cnf(1189,plain,
% 128.98/129.10     (~P2(f3(f9(a5,a5),f6(f9(a5,a5))),a7)),
% 128.98/129.10     inference(scs_inference,[],[959,9,22])).
% 128.98/129.10  cnf(1191,plain,
% 128.98/129.10     (P3(f9(f3(a5,a5),a5),f3(f9(a5,a5),f9(a5,a5)))),
% 128.98/129.10     inference(scs_inference,[],[118,959,9,22,13])).
% 128.98/129.10  cnf(1193,plain,
% 128.98/129.10     (P3(f3(f9(a5,a5),f6(f9(a5,a5))),f9(a4,a1))),
% 128.98/129.10     inference(scs_inference,[],[118,959,290,9,22,13,20])).
% 128.98/129.10  cnf(1207,plain,
% 128.98/129.10     (P2(f3(a1,f6(a1)),f3(a1,a1))),
% 128.98/129.10     inference(scs_inference,[],[305,408,22])).
% 128.98/129.10  cnf(1209,plain,
% 128.98/129.10     (P3(a4,f8(a4))),
% 128.98/129.10     inference(scs_inference,[],[1158,1104,305,408,22,21])).
% 128.98/129.10  cnf(1211,plain,
% 128.98/129.10     (~P3(f3(a1,a4),f3(f9(a5,a5),f6(f9(a5,a5))))),
% 128.98/129.10     inference(scs_inference,[],[847,1193,1158,1104,305,408,22,21,20])).
% 128.98/129.10  cnf(1213,plain,
% 128.98/129.10     (P3(f3(f6(a5),f6(f6(a5))),a1)),
% 128.98/129.10     inference(scs_inference,[],[847,1193,1158,1104,305,408,161,22,21,20,19])).
% 128.98/129.10  cnf(1217,plain,
% 128.98/129.10     (P3(f9(a4,f6(a5)),f6(a5))),
% 128.98/129.10     inference(scs_inference,[],[688,847,1193,1158,1104,305,408,161,22,21,20,19,10,16])).
% 128.98/129.10  cnf(1219,plain,
% 128.98/129.10     (P3(f3(a1,f6(a5)),f6(a5))),
% 128.98/129.10     inference(scs_inference,[],[688,847,1193,1158,1104,305,408,161,22,21,20,19,10,16,15])).
% 128.98/129.10  cnf(1223,plain,
% 128.98/129.10     (~P2(x12231,a7)+~P2(f3(f9(a5,a5),f6(f9(a5,a5))),x12231)),
% 128.98/129.10     inference(scs_inference,[],[688,847,1193,1189,1158,1104,305,408,161,22,21,20,19,10,16,15,11,23])).
% 128.98/129.11  cnf(1237,plain,
% 128.98/129.11     (P2(f3(a1,f6(a1)),f9(a1,a1))),
% 128.98/129.11     inference(scs_inference,[],[106,1207,1126,913,22,23])).
% 128.98/129.11  cnf(1239,plain,
% 128.98/129.11     (P3(f3(a7,a7),f9(a4,f3(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[106,1207,817,1126,913,22,23,13])).
% 128.98/129.11  cnf(1241,plain,
% 128.98/129.11     (P3(f3(a2,a2),f9(a4,f3(a2,a2)))),
% 128.98/129.11     inference(scs_inference,[],[106,1207,817,1126,1033,913,862,22,23,13,20])).
% 128.98/129.11  cnf(1251,plain,
% 128.98/129.11     (~P2(f3(f9(a1,a1),f6(f9(a1,a1))),a7)),
% 128.98/129.11     inference(scs_inference,[],[1051,9,22])).
% 128.98/129.11  cnf(1261,plain,
% 128.98/129.11     (P3(f3(a7,a7),f3(a1,f3(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[118,1102,1191,819,1211,1051,177,519,9,22,23,14,20,21,13])).
% 128.98/129.11  cnf(1263,plain,
% 128.98/129.11     (P2(f6(a5),f3(f9(a1,a1),f6(a5)))),
% 128.98/129.11     inference(scs_inference,[],[1219,874,22])).
% 128.98/129.11  cnf(1282,plain,
% 128.98/129.11     (P2(f9(a4,f3(a2,a2)),f3(a5,a2))),
% 128.98/129.11     inference(scs_inference,[],[106,1241,22])).
% 128.98/129.11  cnf(1284,plain,
% 128.98/129.11     (P3(f3(f3(a5,a5),a5),f3(a5,f3(a5,a5)))),
% 128.98/129.11     inference(scs_inference,[],[124,106,1241,22,13])).
% 128.98/129.11  cnf(1288,plain,
% 128.98/129.11     (P3(f3(f3(a4,a4),f6(f3(a4,a4))),a1)),
% 128.98/129.11     inference(scs_inference,[],[124,106,1241,989,22,13,20,19])).
% 128.98/129.11  cnf(1292,plain,
% 128.98/129.11     (P3(f9(a4,f3(a4,a4)),f3(a4,a4))),
% 128.98/129.11     inference(scs_inference,[],[124,106,591,1241,989,22,13,20,19,10,16])).
% 128.98/129.11  cnf(1294,plain,
% 128.98/129.11     (P3(f3(a1,f3(a4,a4)),f3(a4,a4))),
% 128.98/129.11     inference(scs_inference,[],[124,106,591,1241,989,22,13,20,19,10,16,15])).
% 128.98/129.11  cnf(1299,plain,
% 128.98/129.11     (~P2(f3(f9(a7,a7),f6(f9(a7,a7))),a7)),
% 128.98/129.11     inference(scs_inference,[],[1145,9,22])).
% 128.98/129.11  cnf(1313,plain,
% 128.98/129.11     (P2(f3(f3(a1,f6(a1)),a7),f3(a1,a7))),
% 128.98/129.11     inference(scs_inference,[],[1079,189,22])).
% 128.98/129.11  cnf(1319,plain,
% 128.98/129.11     (~P3(a4,f3(f9(a5,a5),f6(f9(a5,a5))))),
% 128.98/129.11     inference(scs_inference,[],[898,1079,660,1211,274,189,22,13,14,20])).
% 128.98/129.11  cnf(1333,plain,
% 128.98/129.11     (~P2(x13331,a7)+~P2(f3(f9(a7,a7),f6(f9(a7,a7))),x13331)),
% 128.98/129.11     inference(scs_inference,[],[124,1284,1176,1299,1319,1282,22,13,20,23])).
% 128.98/129.11  cnf(1342,plain,
% 128.98/129.11     (~P2(f3(f3(a4,a4),f6(f3(a4,a4))),a7)),
% 128.98/129.11     inference(scs_inference,[],[1288,9,22])).
% 128.98/129.11  cnf(1348,plain,
% 128.98/129.11     (P3(f3(f6(a4),f6(f6(a4))),a1)),
% 128.98/129.11     inference(scs_inference,[],[128,1288,272,9,22,13,20,19])).
% 128.98/129.11  cnf(1352,plain,
% 128.98/129.11     (P3(f9(a4,f6(a4)),f6(a4))),
% 128.98/129.11     inference(scs_inference,[],[128,1288,537,272,9,22,13,20,19,10,16])).
% 128.98/129.11  cnf(1354,plain,
% 128.98/129.11     (P3(f3(a1,f6(a4)),f6(a4))),
% 128.98/129.11     inference(scs_inference,[],[128,1288,537,272,9,22,13,20,19,10,16,15])).
% 128.98/129.11  cnf(1390,plain,
% 128.98/129.11     (~P2(f3(f6(a5),f6(f6(a5))),a7)),
% 128.98/129.11     inference(scs_inference,[],[1213,9,22])).
% 128.98/129.11  cnf(1392,plain,
% 128.98/129.11     (P3(f9(a5,a5),f9(a4,f9(a5,a5)))),
% 128.98/129.11     inference(scs_inference,[],[963,1213,9,22,13])).
% 128.98/129.11  cnf(1402,plain,
% 128.98/129.11     (~P2(f3(f6(a4),f6(f6(a4))),a7)),
% 128.98/129.11     inference(scs_inference,[],[1348,9,22])).
% 128.98/129.11  cnf(1417,plain,
% 128.98/129.11     (P2(f3(f9(a4,a1),f3(a2,a2)),f3(a2,a2))),
% 128.98/129.11     inference(scs_inference,[],[1126,740,22])).
% 128.98/129.11  cnf(1421,plain,
% 128.98/129.11     (P3(f3(f9(a4,a4),f6(f9(a4,a4))),a1)),
% 128.98/129.11     inference(scs_inference,[],[1126,1164,740,473,262,22,20,19])).
% 128.98/129.11  cnf(1425,plain,
% 128.98/129.11     (P3(f9(a4,f9(a4,a4)),f9(a4,a4))),
% 128.98/129.11     inference(scs_inference,[],[437,1126,1164,740,473,262,22,20,19,10,16])).
% 128.98/129.11  cnf(1427,plain,
% 128.98/129.11     (P3(f3(a1,f9(a4,a4)),f9(a4,a4))),
% 128.98/129.11     inference(scs_inference,[],[437,1126,1164,740,473,262,22,20,19,10,16,15])).
% 128.98/129.11  cnf(1441,plain,
% 128.98/129.11     (~P2(f3(f9(a4,a4),f6(f9(a4,a4))),a7)),
% 128.98/129.11     inference(scs_inference,[],[1421,9,22])).
% 128.98/129.11  cnf(1443,plain,
% 128.98/129.11     (P3(f9(a4,a4),f9(a4,f9(a4,a4)))),
% 128.98/129.11     inference(scs_inference,[],[1425,1421,9,22,13])).
% 128.98/129.11  cnf(1487,plain,
% 128.98/129.11     (~P2(f3(f6(a1),f6(f6(a1))),a7)),
% 128.98/129.11     inference(scs_inference,[],[371,9,22])).
% 128.98/129.11  cnf(1489,plain,
% 128.98/129.11     (P2(f3(f9(a4,a1),f3(a2,a2)),f3(f9(a1,a1),f3(a2,a2)))),
% 128.98/129.11     inference(scs_inference,[],[1417,371,736,9,22,23])).
% 128.98/129.11  cnf(1499,plain,
% 128.98/129.11     (P2(f3(a7,f3(a7,a7)),f3(f9(a1,a1),f3(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[136,1443,1417,371,1263,736,401,179,955,9,22,23,20,13,21,12,30])).
% 128.98/129.11  cnf(1505,plain,
% 128.98/129.11     (P3(f9(a7,a7),f9(a4,f9(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[1499,1149,260,22,13])).
% 128.98/129.11  cnf(1507,plain,
% 128.98/129.11     (~P3(f8(a4),f3(a5,f6(a5)))),
% 128.98/129.11     inference(scs_inference,[],[1499,1149,260,809,627,22,13,20])).
% 128.98/129.11  cnf(1520,plain,
% 128.98/129.11     (~P3(f3(a5,f6(a5)),f8(a4))),
% 128.98/129.11     inference(scs_inference,[],[1507,233,1106,22,13])).
% 128.98/129.11  cnf(1522,plain,
% 128.98/129.11     (P3(f3(a1,f9(a7,a7)),f9(a4,f9(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[1505,1151,1507,233,1106,22,13,20])).
% 128.98/129.11  cnf(1524,plain,
% 128.98/129.11     (P3(f3(a2,f6(a2)),a1)),
% 128.98/129.11     inference(scs_inference,[],[1505,1151,1507,233,1106,3,22,13,20,19])).
% 128.98/129.11  cnf(1528,plain,
% 128.98/129.11     (P3(f9(a4,a2),a2)),
% 128.98/129.11     inference(scs_inference,[],[1505,1151,1507,233,416,1106,3,22,13,20,19,10,16])).
% 128.98/129.11  cnf(1530,plain,
% 128.98/129.11     (P3(f3(a1,a2),a2)),
% 128.98/129.11     inference(scs_inference,[],[1505,1151,1507,233,416,1106,3,22,13,20,19,10,16,15])).
% 128.98/129.11  cnf(1542,plain,
% 128.98/129.11     (~P2(f3(a2,f6(a2)),a7)),
% 128.98/129.11     inference(scs_inference,[],[1524,9,22])).
% 128.98/129.11  cnf(1544,plain,
% 128.98/129.11     (P3(f3(a4,a4),f9(a4,f3(a4,a4)))),
% 128.98/129.11     inference(scs_inference,[],[1292,1524,9,22,13])).
% 128.98/129.11  cnf(1546,plain,
% 128.98/129.11     (P3(f3(a2,f6(a2)),f3(a1,a1))),
% 128.98/129.11     inference(scs_inference,[],[1292,1524,347,9,22,13,20])).
% 128.98/129.11  cnf(1558,plain,
% 128.98/129.11     (P2(a2,f3(a1,a2))),
% 128.98/129.11     inference(scs_inference,[],[1530,323,22])).
% 128.98/129.11  cnf(1560,plain,
% 128.98/129.11     (~P3(a4,f3(a2,f6(a2)))),
% 128.98/129.11     inference(scs_inference,[],[138,1546,1530,323,22,20])).
% 128.98/129.11  cnf(1564,plain,
% 128.98/129.11     (~P3(f3(a2,f6(a2)),a4)),
% 128.98/129.11     inference(scs_inference,[],[138,1489,1546,1530,323,22,20,23,13])).
% 128.98/129.11  cnf(1572,plain,
% 128.98/129.11     (P2(f9(f3(a7,a7),a7),f3(f9(a7,a7),f9(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[258,864,22])).
% 128.98/129.11  cnf(1576,plain,
% 128.98/129.11     (P3(f3(a1,f3(a4,a4)),f9(a4,f3(a4,a4)))),
% 128.98/129.11     inference(scs_inference,[],[1544,643,1294,258,864,22,13,20])).
% 128.98/129.11  cnf(1578,plain,
% 128.98/129.11     (~P2(x15781,a7)+~P2(f3(a2,f6(a2)),x15781)),
% 128.98/129.11     inference(scs_inference,[],[1544,643,1294,1542,258,864,22,13,20,23])).
% 128.98/129.11  cnf(1594,plain,
% 128.98/129.11     (~P3(f3(f3(a5,a5),f6(f3(a5,a5))),a4)),
% 128.98/129.11     inference(scs_inference,[],[144,149,629,1162,29,28,20])).
% 128.98/129.11  cnf(1596,plain,
% 128.98/129.11     (P3(f3(a7,f6(a7)),a1)),
% 128.98/129.11     inference(scs_inference,[],[144,149,629,1162,5,29,28,20,19])).
% 128.98/129.11  cnf(1598,plain,
% 128.98/129.11     (P1(f6(f9(a5,a5)))),
% 128.98/129.11     inference(scs_inference,[],[144,149,629,1162,5,29,28,20,19,10])).
% 128.98/129.11  cnf(1600,plain,
% 128.98/129.11     (P3(f9(a4,a7),a7)),
% 128.98/129.11     inference(scs_inference,[],[144,149,629,1162,5,29,28,20,19,10,16])).
% 128.98/129.11  cnf(1602,plain,
% 128.98/129.11     (P3(f3(a1,a7),a7)),
% 128.98/129.11     inference(scs_inference,[],[144,149,629,1162,5,29,28,20,19,10,16,15])).
% 128.98/129.11  cnf(1606,plain,
% 128.98/129.11     (~P3(x16061,f3(f6(a1),f6(f6(a1))))+~P2(x16061,a7)),
% 128.98/129.11     inference(scs_inference,[],[144,136,149,629,1162,1487,5,29,28,20,19,10,16,15,30,22])).
% 128.98/129.11  cnf(1614,plain,
% 128.98/129.11     (P2(f9(a5,a5),f9(a5,a5))),
% 128.98/129.11     inference(scs_inference,[],[144,136,149,1572,629,1576,1162,1487,5,29,28,20,19,10,16,15,30,22,13,23,21,14])).
% 128.98/129.11  cnf(1620,plain,
% 128.98/129.11     (~P3(a4,f3(f3(a5,a5),f6(f3(a5,a5))))),
% 128.98/129.11     inference(scs_inference,[],[1598,1594,290,489,11,22,13])).
% 128.98/129.11  cnf(1622,plain,
% 128.98/129.11     (~P3(f3(a5,f6(a5)),f3(f3(a1,f6(a1)),f8(a4)))),
% 128.98/129.11     inference(scs_inference,[],[1598,892,1594,1520,290,489,11,22,13,20])).
% 128.98/129.11  cnf(1637,plain,
% 128.98/129.11     (P2(a7,f3(a1,a7))),
% 128.98/129.11     inference(scs_inference,[],[1602,189,22])).
% 128.98/129.11  cnf(1639,plain,
% 128.98/129.11     (P3(f9(a4,a4),f3(a1,f9(a4,a4)))),
% 128.98/129.11     inference(scs_inference,[],[1427,1602,189,22,13])).
% 128.98/129.11  cnf(1651,plain,
% 128.98/129.11     (~P2(f3(a7,f6(a7)),a7)),
% 128.98/129.11     inference(scs_inference,[],[1596,9,22])).
% 128.98/129.11  cnf(1653,plain,
% 128.98/129.11     (~P3(f3(f3(a1,f6(a1)),f8(a4)),f3(a5,f6(a5)))),
% 128.98/129.11     inference(scs_inference,[],[1622,1596,9,22,13])).
% 128.98/129.11  cnf(1655,plain,
% 128.98/129.11     (~P3(f3(a1,f9(a4,a4)),a1)),
% 128.98/129.11     inference(scs_inference,[],[1639,1622,1596,401,9,22,13,20])).
% 128.98/129.11  cnf(1664,plain,
% 128.98/129.11     (P2(f9(a4,f3(a2,a2)),f3(a2,a2))),
% 128.98/129.11     inference(scs_inference,[],[1241,740,22])).
% 128.98/129.11  cnf(1666,plain,
% 128.98/129.11     (P3(f6(a5),f9(a4,f6(a5)))),
% 128.98/129.11     inference(scs_inference,[],[1217,1241,740,22,13])).
% 128.98/129.11  cnf(1668,plain,
% 128.98/129.11     (~P3(f3(a1,f8(a4)),f3(a5,f6(a5)))),
% 128.98/129.11     inference(scs_inference,[],[1653,1217,754,1241,740,22,13,20])).
% 128.98/129.11  cnf(1721,plain,
% 128.98/129.11     (~P3(f3(a5,f6(a5)),f3(a1,f8(a4)))),
% 128.98/129.11     inference(scs_inference,[],[1668,1666,1263,22,13])).
% 128.98/129.11  cnf(1723,plain,
% 128.98/129.11     (P3(f9(a4,a4),f9(f9(a4,a4),a4))),
% 128.98/129.11     inference(scs_inference,[],[1668,1666,237,1443,1263,22,13,20])).
% 128.98/129.11  cnf(1736,plain,
% 128.98/129.11     (P3(f9(f9(a4,a4),a4),f9(a4,a4))),
% 128.98/129.11     inference(scs_inference,[],[1723,13])).
% 128.98/129.11  cnf(1740,plain,
% 128.98/129.11     (~P3(f9(f9(a4,a4),a4),a1)),
% 128.98/129.11     inference(scs_inference,[],[1723,1664,736,401,13,23,20])).
% 128.98/129.11  cnf(1742,plain,
% 128.98/129.11     (~P3(x17421,f3(f6(a5),f6(f6(a5))))+~P2(x17421,a7)),
% 128.98/129.11     inference(scs_inference,[],[1723,1664,1390,736,401,13,23,20,22])).
% 128.98/129.11  cnf(1750,plain,
% 128.98/129.11     (P2(f3(a1,f6(a1)),f9(f3(a1,a1),f3(a1,a1)))),
% 128.98/129.11     inference(scs_inference,[],[408,325,22])).
% 128.98/129.11  cnf(1754,plain,
% 128.98/129.11     (~P3(a1,f3(f3(a1,f6(a1)),f8(a4)))),
% 128.98/129.11     inference(scs_inference,[],[1740,1622,169,408,325,22,13,20])).
% 128.98/129.11  cnf(1768,plain,
% 128.98/129.11     (P2(f6(a1),f9(f3(a1,a1),f3(a1,a1)))),
% 128.98/129.11     inference(scs_inference,[],[1750,375,22])).
% 128.98/129.11  cnf(1772,plain,
% 128.98/129.11     (P3(f3(f9(a4,a1),a2),a2)),
% 128.98/129.11     inference(scs_inference,[],[1750,1352,375,337,1530,22,13,20])).
% 128.98/129.11  cnf(1785,plain,
% 128.98/129.11     (~P3(f3(f3(a1,f6(a1)),f8(a4)),a1)),
% 128.98/129.11     inference(scs_inference,[],[1754,13])).
% 128.98/129.11  cnf(1787,plain,
% 128.98/129.11     (P3(f3(f3(a1,a1),f3(a2,a2)),f3(f9(a4,a1),f3(a2,a2)))),
% 128.98/129.11     inference(scs_inference,[],[1754,742,1126,13,20])).
% 128.98/129.11  cnf(1789,plain,
% 128.98/129.11     (~P3(x17891,f3(f6(a4),f6(f6(a4))))+~P2(x17891,a7)),
% 128.98/129.11     inference(scs_inference,[],[1754,742,1402,1126,13,20,22])).
% 128.98/129.11  cnf(1802,plain,
% 128.98/129.11     (P2(f9(a4,f3(a1,a1)),f3(f3(a1,f6(a1)),f6(a1)))),
% 128.98/129.11     inference(scs_inference,[],[523,489,22])).
% 128.98/129.11  cnf(1806,plain,
% 128.98/129.11     (~P3(f9(a4,f3(a1,a1)),f3(f3(a1,f6(a1)),f8(a4)))),
% 128.98/129.11     inference(scs_inference,[],[1354,1754,523,489,22,13,20])).
% 128.98/129.11  cnf(1817,plain,
% 128.98/129.11     (P2(f9(a2,a2),f3(a1,f9(a2,a2)))),
% 128.98/129.11     inference(scs_inference,[],[533,547,22])).
% 128.98/129.11  cnf(1819,plain,
% 128.98/129.11     (~P3(f3(f3(a1,f6(a1)),f8(a4)),f9(a4,f3(a1,a1)))),
% 128.98/129.11     inference(scs_inference,[],[1806,533,547,22,13])).
% 128.98/129.11  cnf(1821,plain,
% 128.98/129.11     (P3(f9(a4,f3(a2,a2)),f3(f9(a4,a1),f3(a2,a2)))),
% 128.98/129.11     inference(scs_inference,[],[1806,1787,533,547,937,22,13,20])).
% 128.98/129.11  cnf(1833,plain,
% 128.98/129.11     (P3(a2,f9(a4,a2))),
% 128.98/129.11     inference(scs_inference,[],[1528,13])).
% 128.98/129.11  cnf(1835,plain,
% 128.98/129.11     (~P3(f8(a4),f3(f3(a5,a5),f6(f3(a5,a5))))),
% 128.98/129.11     inference(scs_inference,[],[1528,1620,1209,13,20])).
% 128.98/129.11  cnf(1839,plain,
% 128.98/129.11     (P1(f6(f6(a5)))),
% 128.98/129.11     inference(scs_inference,[],[161,1528,1620,1209,13,20,197,10])).
% 128.98/129.11  cnf(1841,plain,
% 128.98/129.11     (~P3(x18411,f3(f8(a4),f6(f8(a4))))+~P2(x18411,a7)),
% 128.98/129.11     inference(scs_inference,[],[161,1528,1620,1209,858,13,20,197,10,22])).
% 128.98/129.11  cnf(1856,plain,
% 128.98/129.11     (~P3(f3(f3(a5,a5),f6(f3(a5,a5))),f8(a4))),
% 128.98/129.11     inference(scs_inference,[],[1835,1833,1558,22,13])).
% 128.98/129.11  cnf(1858,plain,
% 128.98/129.11     (~P3(f3(f3(a1,f6(a1)),f8(a4)),f3(a1,a1))),
% 128.98/129.11     inference(scs_inference,[],[1819,1835,1833,1558,509,22,13,20])).
% 128.98/129.11  cnf(1870,plain,
% 128.98/129.11     (P2(f9(f9(a4,f8(a4)),f9(a2,a2)),f9(a2,a2))),
% 128.98/129.11     inference(scs_inference,[],[997,583,22])).
% 128.98/129.11  cnf(1872,plain,
% 128.98/129.11     (P3(a5,f9(a4,a5))),
% 128.98/129.11     inference(scs_inference,[],[163,997,583,22,13])).
% 128.98/129.11  cnf(1874,plain,
% 128.98/129.11     (P3(f3(f3(a1,f6(a1)),f8(a4)),a4)),
% 128.98/129.11     inference(scs_inference,[],[163,999,997,892,583,22,13,20])).
% 128.98/129.11  cnf(1876,plain,
% 128.98/129.11     (~P2(x18761,a7)+~P2(f3(f6(a4),f6(f6(a4))),x18761)),
% 128.98/129.11     inference(scs_inference,[],[163,999,997,892,583,1402,22,13,20,23])).
% 128.98/129.11  cnf(1895,plain,
% 128.98/129.11     (~P3(f3(a1,a1),f3(f3(a1,f6(a1)),f8(a4)))),
% 128.98/129.11     inference(scs_inference,[],[1858,13])).
% 128.98/129.11  cnf(1897,plain,
% 128.98/129.11     (P2(f9(f9(a4,f8(a4)),f9(a2,a2)),f3(a1,f9(a2,a2)))),
% 128.98/129.11     inference(scs_inference,[],[1870,1858,1817,13,23])).
% 128.98/129.11  cnf(1899,plain,
% 128.98/129.11     (~P3(f3(a1,a1),f8(a4))),
% 128.98/129.11     inference(scs_inference,[],[1870,1858,1856,1143,1817,13,23,20])).
% 128.98/129.11  cnf(1901,plain,
% 128.98/129.11     (~P3(x19011,f3(a7,f6(a7)))+~P2(x19011,a7)),
% 128.98/129.11     inference(scs_inference,[],[1870,1858,1856,1143,1817,1651,13,23,20,22])).
% 128.98/129.11  cnf(1906,plain,
% 128.98/129.11     (P2(f3(a1,a1),f3(f3(a1,f6(a1)),f6(a1)))),
% 128.98/129.11     inference(scs_inference,[],[1802,457,22])).
% 128.98/129.11  cnf(1908,plain,
% 128.98/129.11     (P3(a5,f3(a1,a5))),
% 128.98/129.11     inference(scs_inference,[],[165,1802,457,22,13])).
% 128.98/129.11  cnf(1912,plain,
% 128.98/129.11     (~P3(f3(a2,f6(a2)),f3(f3(a1,f6(a1)),f8(a4)))),
% 128.98/129.11     inference(scs_inference,[],[165,1897,1874,1802,1564,457,566,22,13,23,20])).
% 128.98/129.11  cnf(1926,plain,
% 128.98/129.11     (P2(f6(a5),f6(a5))),
% 128.98/129.11     inference(scs_inference,[],[149,165,153,161,1897,1895,1839,1874,1802,1564,457,566,22,13,23,20,11,10,21,24,12,30,14])).
% 128.98/129.11  cnf(1928,plain,
% 128.98/129.11     (P2(f3(a1,a5),a5)),
% 128.98/129.11     inference(scs_inference,[],[153,1908,22])).
% 128.98/129.11  cnf(1930,plain,
% 128.98/129.11     (~P3(f3(f3(a1,f6(a1)),f8(a4)),f3(a2,f6(a2)))),
% 128.98/129.11     inference(scs_inference,[],[153,1912,1908,22,13])).
% 128.98/129.11  cnf(1944,plain,
% 128.98/129.11     (P3(a7,f9(a4,a7))),
% 128.98/129.11     inference(scs_inference,[],[1600,13])).
% 128.98/129.11  cnf(1946,plain,
% 128.98/129.11     (P3(f9(a4,f3(a7,a7)),f3(a1,f3(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[1600,1261,817,13,20])).
% 128.98/129.11  cnf(1962,plain,
% 128.98/129.11     (~P3(f9(a4,a4),f3(f9(a2,a2),f6(f9(a2,a2))))),
% 128.98/129.11     inference(scs_inference,[],[1899,529,401,13,20])).
% 128.98/129.11  cnf(1964,plain,
% 128.98/129.11     (~P3(x19641,f9(a4,f9(a1,a1)))+~P2(x19641,a7)),
% 128.98/129.11     inference(scs_inference,[],[1899,529,1077,401,13,20,22])).
% 128.98/129.11  cnf(1976,plain,
% 128.98/129.11     (P3(a1,f3(a5,f6(a5)))),
% 128.98/129.11     inference(scs_inference,[],[169,9,22,13])).
% 128.98/129.11  cnf(1978,plain,
% 128.98/129.11     (P3(f3(a1,a5),f9(a4,a5))),
% 128.98/129.11     inference(scs_inference,[],[165,169,1872,9,22,13,20])).
% 128.98/129.11  cnf(1997,plain,
% 128.98/129.11     (~P3(a1,f3(a1,f8(a4)))),
% 128.98/129.11     inference(scs_inference,[],[169,1962,1944,1721,931,22,13,20])).
% 128.98/129.11  cnf(2054,plain,
% 128.98/129.11     (~P3(x20541,f3(f9(a5,a5),f6(f9(a5,a5))))+~P2(x20541,a7)),
% 128.98/129.11     inference(scs_inference,[],[1978,1976,1668,1189,13,20,22])).
% 128.98/129.11  cnf(2066,plain,
% 128.98/129.11     (P2(f9(a7,a7),f9(a7,a7))),
% 128.98/129.11     inference(scs_inference,[],[173,1928,1978,1655,22,13,14])).
% 128.98/129.11  cnf(2080,plain,
% 128.98/129.11     (P3(f3(a1,f3(a7,a7)),f9(a4,f3(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[1946,1944,935,22,13])).
% 128.98/129.11  cnf(2082,plain,
% 128.98/129.11     (~P3(a1,f8(a4))),
% 128.98/129.11     inference(scs_inference,[],[169,1946,1944,1520,935,22,13,20])).
% 128.98/129.11  cnf(2084,plain,
% 128.98/129.11     (P1(f6(f9(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[169,173,1946,1944,1520,935,22,13,20,10])).
% 128.98/129.11  cnf(2098,plain,
% 128.98/129.11     (~P3(f8(a4),a1)),
% 128.98/129.11     inference(scs_inference,[],[2084,2082,11,13])).
% 128.98/129.11  cnf(2100,plain,
% 128.98/129.11     (~P3(f9(f9(a4,a4),a4),f3(a5,f6(a5)))),
% 128.98/129.11     inference(scs_inference,[],[169,2084,2082,1740,11,13,20])).
% 128.98/129.11  cnf(2102,plain,
% 128.98/129.11     (~P3(x21021,f3(f9(a2,a2),f6(f9(a2,a2))))+~P2(x21021,a7)),
% 128.98/129.11     inference(scs_inference,[],[169,2084,2082,1740,831,11,13,20,22])).
% 128.98/129.11  cnf(2104,plain,
% 128.98/129.11     (P1(f8(f8(a4)))),
% 128.98/129.11     inference(scs_inference,[],[169,2084,2082,1740,831,11,13,20,22,1009])).
% 128.98/129.11  cnf(2105,plain,
% 128.98/129.11     (P3(f9(f8(a4),f8(f8(a4))),a4)),
% 128.98/129.11     inference(scs_inference,[],[169,2084,2082,1740,831,11,13,20,22,1009,1007])).
% 128.98/129.11  cnf(2108,plain,
% 128.98/129.11     (P2(f9(a4,f9(a7,a7)),f9(a7,a7))),
% 128.98/129.11     inference(scs_inference,[],[2066,1505,22])).
% 128.98/129.11  cnf(2110,plain,
% 128.98/129.11     (P3(f9(a4,f9(a7,a7)),f3(a1,f9(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[1522,2066,1505,22,13])).
% 128.98/129.11  cnf(2116,plain,
% 128.98/129.11     (P2(f3(a1,f9(a7,a7)),f3(f9(f9(a1,a1),f9(a1,a1)),f9(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[159,177,173,2080,1522,2066,1946,1505,22,13,20,29,30])).
% 128.98/129.11  cnf(2131,plain,
% 128.98/129.11     (P2(f3(a5,f6(a5)),f9(f9(a1,a1),f9(a1,a1)))),
% 128.98/129.11     inference(scs_inference,[],[177,1976,22])).
% 128.98/129.11  cnf(2133,plain,
% 128.98/129.11     (~P3(f3(a5,f6(a5)),f9(f9(a4,a4),a4))),
% 128.98/129.11     inference(scs_inference,[],[177,2100,1976,22,13])).
% 128.98/129.11  cnf(2145,plain,
% 128.98/129.11     (P3(f9(f9(a4,a5),f6(a5)),f9(a5,f6(a5)))),
% 128.98/129.11     inference(scs_inference,[],[161,163,29])).
% 128.98/129.11  cnf(2147,plain,
% 128.98/129.11     (P3(a4,f9(f8(a4),f8(f8(a4))))),
% 128.98/129.11     inference(scs_inference,[],[161,163,2105,29,13])).
% 128.98/129.11  cnf(2149,plain,
% 128.98/129.11     (~P3(f3(a5,f6(a5)),f9(a4,f9(a4,a4)))),
% 128.98/129.11     inference(scs_inference,[],[161,163,2133,2105,237,29,13,20])).
% 128.98/129.11  cnf(2151,plain,
% 128.98/129.11     (P1(f6(f3(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[161,163,179,2133,2105,237,29,13,20,10])).
% 128.98/129.11  cnf(2161,plain,
% 128.98/129.11     (~P3(f9(a4,f9(a4,a4)),f3(a5,f6(a5)))),
% 128.98/129.11     inference(scs_inference,[],[2149,13])).
% 128.98/129.11  cnf(2163,plain,
% 128.98/129.11     (P2(f3(a7,a7),f3(a7,a7))),
% 128.98/129.11     inference(scs_inference,[],[179,2149,13,14])).
% 128.98/129.11  cnf(2169,plain,
% 128.98/129.11     (P2(f3(a1,f6(a5)),f3(f9(f9(a1,a1),f9(a1,a1)),f6(a5)))),
% 128.98/129.11     inference(scs_inference,[],[161,177,179,2151,2149,2110,1522,13,14,20,11,30])).
% 128.98/129.11  cnf(2171,plain,
% 128.98/129.11     (~P3(x21711,f3(a1,f9(a1,a1)))+~P2(x21711,a7)),
% 128.98/129.11     inference(scs_inference,[],[161,177,179,2151,2149,2110,1522,1124,13,14,20,11,30,22])).
% 128.98/129.11  cnf(2181,plain,
% 128.98/129.11     (P3(f3(f9(a4,a5),f3(a7,a7)),f3(a5,f3(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[163,179,28])).
% 128.98/129.11  cnf(2183,plain,
% 128.98/129.11     (P2(f9(a4,f3(a7,a7)),f3(a7,a7))),
% 128.98/129.11     inference(scs_inference,[],[163,179,2163,1239,28,22])).
% 128.98/129.11  cnf(2185,plain,
% 128.98/129.11     (P3(a2,f3(f9(a4,a1),a2))),
% 128.98/129.11     inference(scs_inference,[],[163,179,2163,1772,1239,28,22,13])).
% 128.98/129.11  cnf(2187,plain,
% 128.98/129.11     (~P3(f9(a4,a4),f3(a5,f6(a5)))),
% 128.98/129.11     inference(scs_inference,[],[163,179,2163,2161,1772,1239,1425,28,22,13,20])).
% 128.98/129.11  cnf(2200,plain,
% 128.98/129.11     (P2(f3(a1,f3(a7,a7)),f3(f9(f9(a1,a1),f9(a1,a1)),f3(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[177,179,30])).
% 128.98/129.11  cnf(2202,plain,
% 128.98/129.11     (P2(f3(f9(a4,a1),a2),a2)),
% 128.98/129.11     inference(scs_inference,[],[177,179,2185,268,30,22])).
% 128.98/129.11  cnf(2204,plain,
% 128.98/129.11     (~P3(f3(a5,f6(a5)),f9(a4,a4))),
% 128.98/129.11     inference(scs_inference,[],[177,179,2187,2185,268,30,22,13])).
% 128.98/129.11  cnf(2208,plain,
% 128.98/129.11     (P3(f9(f9(a4,a5),f3(a7,a7)),f9(a5,f3(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[163,177,179,2187,2185,268,1976,572,30,22,13,20,29])).
% 128.98/129.11  cnf(2223,plain,
% 128.98/129.11     (~P3(f3(f3(a1,f6(a1)),f8(a4)),f3(a7,f6(a7)))),
% 128.98/129.11     inference(scs_inference,[],[1821,1785,2202,1596,1558,23,13,20])).
% 128.98/129.11  cnf(2227,plain,
% 128.98/129.11     (P3(f3(f3(a1,a5),f3(a7,a7)),f3(a5,f3(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[165,179,1821,1785,2202,2151,1596,1558,23,13,20,10,28])).
% 128.98/129.11  cnf(2229,plain,
% 128.98/129.11     (~P3(x22291,f3(f3(a2,a2),f6(f3(a2,a2))))+~P2(x22291,a7)),
% 128.98/129.11     inference(scs_inference,[],[165,179,1821,1785,2202,2151,1596,1558,941,23,13,20,10,28,22])).
% 128.98/129.11  cnf(2234,plain,
% 128.98/129.11     (P3(f9(f3(a1,a5),f3(a7,a7)),f9(a5,f3(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[165,179,29])).
% 128.98/129.11  cnf(2236,plain,
% 128.98/129.11     (P2(f3(a7,a7),f3(f9(f9(a1,a1),f9(a1,a1)),f3(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[165,179,819,2200,29,22])).
% 128.98/129.11  cnf(2251,plain,
% 128.98/129.11     (P2(f9(a7,a7),f3(f9(f9(a1,a1),f9(a1,a1)),f9(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[1151,2116,22])).
% 128.98/129.11  cnf(2255,plain,
% 128.98/129.11     (P3(f9(a5,f3(a7,a7)),f9(f3(a1,a5),f3(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[2236,2183,2234,1151,2116,22,23,13])).
% 128.98/129.11  cnf(2257,plain,
% 128.98/129.11     (~P3(a4,f3(a7,f6(a7)))),
% 128.98/129.11     inference(scs_inference,[],[2236,2183,2223,2234,1151,2116,1874,22,23,13,20])).
% 128.98/129.11  cnf(2271,plain,
% 128.98/129.11     (~P3(f3(a7,f6(a7)),a4)),
% 128.98/129.11     inference(scs_inference,[],[167,179,2251,2108,2257,28,23,13])).
% 128.98/129.11  cnf(2273,plain,
% 128.98/129.11     (P3(f9(f9(a4,a5),f3(a7,a7)),f9(f3(a1,a5),f3(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[167,179,2251,2108,2255,2208,2257,28,23,13,20])).
% 128.98/129.11  cnf(2275,plain,
% 128.98/129.11     (~P3(x22751,f3(f3(a4,a4),f6(f3(a4,a4))))+~P2(x22751,a7)),
% 128.98/129.11     inference(scs_inference,[],[167,179,2251,2108,2255,2208,2257,1342,28,23,13,20,22])).
% 128.98/129.11  cnf(2281,plain,
% 128.98/129.11     (P2(f3(a1,f9(a1,a1)),f3(f9(f9(a1,a1),f9(a1,a1)),f9(a1,a1)))),
% 128.98/129.11     inference(scs_inference,[],[177,1027,30])).
% 128.98/129.11  cnf(2283,plain,
% 128.98/129.11     (P2(f6(a5),f3(f9(f9(a1,a1),f9(a1,a1)),f6(a5)))),
% 128.98/129.11     inference(scs_inference,[],[177,1219,2169,1027,30,22])).
% 128.98/129.11  cnf(2285,plain,
% 128.98/129.11     (~P2(f3(f9(f9(a1,a1),f9(a1,a1)),f9(a1,a1)),a7)),
% 128.98/129.11     inference(scs_inference,[],[177,1219,2169,1124,1027,30,22,23])).
% 128.98/129.11  cnf(2287,plain,
% 128.98/129.11     (P3(f9(f3(a1,a5),f3(a7,a7)),f9(f9(a4,a5),f3(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[177,2273,1219,2169,1124,1027,30,22,23,13])).
% 128.98/129.11  cnf(2289,plain,
% 128.98/129.11     (~P3(f9(a4,f8(a4)),f3(a2,f6(a2)))),
% 128.98/129.11     inference(scs_inference,[],[177,2273,1219,1560,795,2169,1124,1027,30,22,23,13,20])).
% 128.98/129.11  cnf(2305,plain,
% 128.98/129.11     (~P3(f8(a4),f3(a2,f6(a2)))),
% 128.98/129.11     inference(scs_inference,[],[2289,598,547,627,22,13,20])).
% 128.98/129.11  cnf(2307,plain,
% 128.98/129.11     (P3(f3(f3(a5,f6(a5)),f3(a7,a7)),f3(a1,f3(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[169,179,2289,598,547,627,22,13,20,28])).
% 128.98/129.11  cnf(2319,plain,
% 128.98/129.11     (P3(f3(a1,f3(a7,a7)),f3(f3(a5,f6(a5)),f3(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[173,187,2307,29,13])).
% 128.98/129.11  cnf(2323,plain,
% 128.98/129.11     (~P3(x23231,f3(f9(f9(a1,a1),f9(a1,a1)),f9(a1,a1)))+~P2(x23231,a7)),
% 128.98/129.11     inference(scs_inference,[],[173,187,2307,2285,29,13,20,22])).
% 128.98/129.11  cnf(2330,plain,
% 128.98/129.11     (P2(f9(a1,a1),f3(f9(f9(a1,a1),f9(a1,a1)),f9(a1,a1)))),
% 128.98/129.11     inference(scs_inference,[],[2281,1057,22])).
% 128.98/129.11  cnf(2336,plain,
% 128.98/129.11     (P2(f3(a5,f6(a2)),f3(f9(f9(a1,a1),f9(a1,a1)),f9(a1,a1)))),
% 128.98/129.11     inference(scs_inference,[],[2287,2305,2281,1057,2273,22,13,20,495])).
% 128.98/129.11  cnf(2338,plain,
% 128.98/129.11     (P2(f3(f3(a1,a7),f9(a7,a7)),f3(f3(a1,a7),f9(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[173,189,2287,2305,2281,1057,2273,22,13,20,495,30])).
% 128.98/129.11  cnf(2355,plain,
% 128.98/129.11     (P2(f3(a1,f6(a1)),f3(f9(f9(a1,a1),f9(a1,a1)),f9(a1,a1)))),
% 128.98/129.11     inference(scs_inference,[],[199,2330,2147,1237,22,23])).
% 128.98/129.11  cnf(2357,plain,
% 128.98/129.11     (P3(f3(a5,f3(a7,a7)),f3(f3(a1,a5),f3(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[199,2330,2227,2147,1237,22,23,13])).
% 128.98/129.11  cnf(2361,plain,
% 128.98/129.11     (~P3(f8(a4),f3(f8(a4),f6(f8(a4))))),
% 128.98/129.11     inference(scs_inference,[],[199,2330,2338,2227,2147,2098,623,1237,22,23,13,21,20])).
% 128.98/129.11  cnf(2369,plain,
% 128.98/129.11     (P2(f9(a4,f3(a1,a1)),f3(f9(f9(a1,a1),f9(a1,a1)),f9(a1,a1)))),
% 128.98/129.11     inference(scs_inference,[],[199,179,2330,635,30,23])).
% 128.98/129.11  cnf(2375,plain,
% 128.98/129.11     (~P3(x23751,f3(f3(a1,a1),f6(f3(a1,a1))))+~P2(x23751,a7)),
% 128.98/129.11     inference(scs_inference,[],[199,179,2357,2181,2361,2330,635,888,30,23,13,20,22])).
% 128.98/129.11  cnf(2388,plain,
% 128.98/129.11     (P2(f3(a1,a1),f3(f9(f9(a1,a1),f9(a1,a1)),f9(a1,a1)))),
% 128.98/129.11     inference(scs_inference,[],[185,203,2369,457,29,28,22])).
% 128.98/129.11  cnf(2407,plain,
% 128.98/129.11     (~P3(f3(a1,f3(a1,a1)),f9(f9(a4,f8(a4)),f8(a4)))),
% 128.98/129.11     inference(scs_inference,[],[1172,2223,1176,785,1664,22,13,20])).
% 128.98/129.11  cnf(2434,plain,
% 128.98/129.11     (P1(f6(f3(a1,a1)))),
% 128.98/129.11     inference(scs_inference,[],[203,880,537,13,14,20,1178,10])).
% 128.98/129.11  cnf(2436,plain,
% 128.98/129.11     (P2(f3(f3(a1,a7),f3(a7,a7)),f3(f3(a1,a7),f3(a7,a7)))),
% 128.98/129.11     inference(scs_inference,[],[179,189,203,880,537,13,14,20,1178,10,30])).
% 128.98/129.11  cnf(2453,plain,
% 128.98/129.11     (P3(f9(f8(a4),f8(f8(a4))),f8(a4))),
% 128.98/129.11     inference(scs_inference,[],[2434,2407,2105,1209,11,13,20])).
% 128.98/129.11  cnf(2467,plain,
% 128.98/129.11     (P2(f3(a4,f3(a1,a1)),f3(a4,f3(a1,a1)))),
% 128.98/129.11     inference(scs_inference,[],[199,203,30])).
% 128.98/129.11  cnf(2471,plain,
% 128.98/129.11     (P3(f9(a1,f8(a4)),f9(f3(a1,f6(a1)),f8(a4)))),
% 128.98/129.11     inference(scs_inference,[],[199,203,746,1614,1392,30,22,13])).
% 128.98/129.11  cnf(2473,plain,
% 128.98/129.11     (~P3(f3(a7,f6(a7)),f9(a4,a4))),
% 128.98/129.11     inference(scs_inference,[],[199,203,746,2271,1614,1392,270,30,22,13,20])).
% 128.98/129.11  cnf(2483,plain,
% 128.98/129.11     (P2(f3(a5,f6(a5)),f3(a1,a1))),
% 128.98/129.11     inference(scs_inference,[],[305,1976,22])).
% 128.98/129.11  cnf(2491,plain,
% 128.98/129.11     (~P3(f3(f3(a1,a1),a1),f9(f9(a4,f8(a4)),f8(a4)))),
% 128.98/129.11     inference(scs_inference,[],[2473,2467,2110,2407,1505,305,1976,22,13,21,20,353])).
% 128.98/129.11  cnf(2511,plain,
% 128.98/129.11     (~P3(x25111,f3(f9(a7,a7),f6(f9(a7,a7))))+~P2(x25111,a7)),
% 128.98/129.11     inference(scs_inference,[],[209,203,2471,2145,2436,746,335,1299,28,13,21,14,20,10,29,22])).
% 128.98/129.11  cnf(2518,plain,
% 128.98/129.11     (P2(f3(a5,f6(a5)),f3(f9(f9(a1,a1),f9(a1,a1)),f9(a1,a1)))),
% 128.98/129.11     inference(scs_inference,[],[2483,2388,23])).
% 128.98/129.11  cnf(2524,plain,
% 128.98/129.11     (~P3(f3(a1,f8(a4)),f3(a2,f6(a2)))),
% 128.98/129.11     inference(scs_inference,[],[2491,2483,2283,1930,1666,2388,754,23,22,13,20])).
% 128.98/129.11  cnf(2556,plain,
% 128.98/129.11     (P3(f3(f3(a2,a2),f6(f3(a2,a2))),f3(a1,a1))),
% 128.98/129.11     inference(scs_inference,[],[199,2524,711,347,989,30,13,21,20])).
% 128.98/129.11  cnf(2575,plain,
% 128.98/129.11     (~P3(x25751,f3(f9(a1,a1),f6(f9(a1,a1))))+~P2(x25751,a7)),
% 128.98/129.11     inference(scs_inference,[],[2556,2453,1899,882,1251,13,20,10,22])).
% 128.98/129.11  cnf(2643,plain,
% 128.98/129.11     (P2(f3(a4,f6(a4)),f3(a4,f6(a4)))),
% 128.98/129.11     inference(scs_inference,[],[199,272,30])).
% 128.98/129.11  cnf(2645,plain,
% 128.98/129.11     (P2(f3(a1,f3(a7,a7)),f3(a7,a7))),
% 128.98/129.11     inference(scs_inference,[],[199,1261,2163,272,30,22])).
% 128.98/129.11  cnf(2661,plain,
% 128.98/129.11     (P2(f3(f3(a5,f6(a5)),f3(a7,a7)),f3(a7,a7))),
% 128.98/129.11     inference(scs_inference,[],[2645,2319,22])).
% 128.98/129.11  cnf(2808,plain,
% 128.98/129.11     (~P2(f3(a1,f3(a1,a1)),a7)),
% 128.98/129.11     inference(scs_inference,[],[207,475,1027,9,29,28,22])).
% 128.98/129.11  cnf(2910,plain,
% 128.98/129.11     (P2(f6(a1),f3(a1,f6(a1)))),
% 128.98/129.11     inference(scs_inference,[],[422,375,22])).
% 128.98/129.11  cnf(2920,plain,
% 128.98/129.11     (P2(f6(a1),f3(f9(f9(a1,a1),f9(a1,a1)),f9(a1,a1)))),
% 128.98/129.11     inference(scs_inference,[],[2910,2355,23])).
% 128.98/129.11  cnf(2936,plain,
% 128.98/129.11     (~P3(x29361,f3(f9(a4,a4),f6(f9(a4,a4))))+~P2(x29361,a7)),
% 128.98/129.11     inference(scs_inference,[],[233,227,389,1441,13,20,22])).
% 128.98/129.11  cnf(2964,plain,
% 128.98/129.11     (~P3(f3(a5,f6(a5)),f3(a1,f9(a4,a4)))),
% 128.98/129.11     inference(scs_inference,[],[1427,2204,1162,913,22,20])).
% 128.98/129.11  cnf(2980,plain,
% 128.98/129.11     (~P3(x29801,f3(f3(a7,a7),f6(f3(a7,a7))))+~P2(x29801,a7)),
% 128.98/129.11     inference(scs_inference,[],[2964,1425,1443,1013,13,20,22])).
% 128.98/129.11  cnf(2990,plain,
% 128.98/129.11     (P2(a1,f3(a4,f6(a4)))),
% 128.98/129.11     inference(scs_inference,[],[2643,276,22])).
% 128.98/129.11  cnf(2992,plain,
% 128.98/129.11     (P3(f9(f9(a4,a4),a4),f9(a4,f9(a4,a4)))),
% 128.98/129.11     inference(scs_inference,[],[237,2643,276,22,13])).
% 128.98/129.11  cnf(3005,plain,
% 128.98/129.11     (P2(f3(a1,f6(a1)),f3(a4,f6(a4)))),
% 128.98/129.11     inference(scs_inference,[],[2990,408,519,23,22])).
% 128.98/129.11  cnf(3013,plain,
% 128.98/129.11     (~P3(f9(f9(a4,a4),a4),f3(a7,f6(a7)))),
% 128.98/129.11     inference(scs_inference,[],[2990,2473,1736,558,408,519,23,22,20,10,21,13])).
% 128.98/129.11  cnf(3017,plain,
% 128.98/129.11     (P2(a7,f3(a4,f6(a4)))),
% 128.98/129.11     inference(scs_inference,[],[3005,1160,23])).
% 128.98/129.11  cnf(3019,plain,
% 128.98/129.11     (P3(f6(a1),f9(a4,f6(a1)))),
% 128.98/129.11     inference(scs_inference,[],[3005,369,1160,23,13])).
% 128.98/129.11  cnf(3021,plain,
% 128.98/129.11     (P3(f3(f3(a1,f6(a1)),a7),a7)),
% 128.98/129.11     inference(scs_inference,[],[3005,369,1602,420,1160,23,13,20])).
% 128.98/129.11  cnf(3033,plain,
% 128.98/129.11     (~P3(x30331,f3(a2,f6(a2)))+~P2(x30331,a7)),
% 128.98/129.11     inference(scs_inference,[],[2992,3013,1542,20,22])).
% 128.98/129.11  cnf(3041,plain,
% 128.98/129.11     (P2(f9(a4,f6(a1)),f6(a1))),
% 128.98/129.11     inference(scs_inference,[],[3019,363,22])).
% 128.98/129.11  cnf(3043,plain,
% 128.98/129.11     (P3(a7,f3(f3(a1,f6(a1)),a7))),
% 128.98/129.11     inference(scs_inference,[],[3019,3021,363,22,13])).
% 128.98/129.11  cnf(3045,plain,
% 128.98/129.11     (~P3(f9(f9(a4,f8(a4)),f8(a4)),f3(a2,f6(a2)))),
% 128.98/129.11     inference(scs_inference,[],[3019,3021,363,1546,1037,22,13,20])).
% 128.98/129.11  cnf(3059,plain,
% 128.98/129.11     (P3(f3(a1,f9(a4,a4)),f9(f9(a4,a4),a4))),
% 128.98/129.11     inference(scs_inference,[],[3045,3019,2920,1723,1427,22,13,20])).
% 128.98/129.11  cnf(3071,plain,
% 128.98/129.11     (P3(f9(a4,a7),f3(f3(a1,f6(a1)),a7))),
% 128.98/129.11     inference(scs_inference,[],[258,3043,3041,1768,1600,23,13,20])).
% 128.98/129.11  cnf(3090,plain,
% 128.98/129.11     (P2(f9(a4,f6(a5)),f6(a5))),
% 128.98/129.11     inference(scs_inference,[],[1926,1666,22])).
% 128.98/129.11  cnf(3167,plain,
% 128.98/129.11     (P2(f9(a4,f6(a1)),f3(a1,f6(a1)))),
% 128.98/129.11     inference(scs_inference,[],[262,1153,3090,3041,2910,29,28,30,23])).
% 128.98/129.11  cnf(3199,plain,
% 128.98/129.11     (P3(f9(f9(a4,a4),a4),f3(a1,f9(a4,a4)))),
% 128.98/129.11     inference(scs_inference,[],[3059,3017,1944,22,13])).
% 128.98/129.11  cnf(3222,plain,
% 128.98/129.11     (P3(f3(f3(a1,f6(a1)),a7),f9(a4,a7))),
% 128.98/129.11     inference(scs_inference,[],[3071,13])).
% 128.98/129.11  cnf(3224,plain,
% 128.98/129.11     (~P3(f8(a4),f3(f3(a7,a7),f6(f3(a7,a7))))),
% 128.98/129.11     inference(scs_inference,[],[3071,815,2098,13,20])).
% 128.98/129.11  cnf(3286,plain,
% 128.98/129.11     (P2(f9(a4,a7),f3(a1,a7))),
% 128.98/129.11     inference(scs_inference,[],[3222,1313,22])).
% 128.98/129.11  cnf(3290,plain,
% 128.98/129.11     (P3(f9(a4,f9(a4,a4)),f3(a1,f9(a4,a4)))),
% 128.98/129.11     inference(scs_inference,[],[237,3199,3222,3224,1313,22,13,20])).
% 128.98/129.11  cnf(3299,plain,
% 128.98/129.11     (P2(f9(a4,f6(a1)),f3(a1,a1))),
% 128.98/129.11     inference(scs_inference,[],[3167,1207,23])).
% 128.98/129.11  cnf(3301,plain,
% 128.98/129.11     (P2(f3(a1,a1),f3(a1,f6(a1)))),
% 128.98/129.11     inference(scs_inference,[],[3167,1207,426,347,23,22])).
% 128.98/129.11  cnf(3305,plain,
% 128.98/129.11     (P3(f3(a1,a1),f3(a1,f6(a1)))),
% 128.98/129.11     inference(scs_inference,[],[3290,3167,1207,426,347,23,22,13,21])).
% 128.98/129.11  cnf(3317,plain,
% 128.98/129.11     (P2(f9(a4,a4),f9(a4,a4))),
% 128.98/129.11     inference(scs_inference,[],[268,262,621,10,30,14])).
% 128.98/129.11  cnf(3319,plain,
% 128.98/129.11     (P3(f3(a1,f6(a1)),f3(a1,a1))),
% 128.98/129.11     inference(scs_inference,[],[268,262,3301,621,1207,10,30,14,21])).
% 128.98/129.11  cnf(3341,plain,
% 128.98/129.11     (P2(a4,f9(a4,a4))),
% 128.98/129.11     inference(scs_inference,[],[270,3317,22])).
% 128.98/129.11  cnf(3343,plain,
% 128.98/129.11     (P3(a4,f9(a4,a4))),
% 128.98/129.11     inference(scs_inference,[],[270,3317,22,13])).
% 128.98/129.11  cnf(3345,plain,
% 128.98/129.11     (P3(f9(a4,f9(a4,a4)),a4)),
% 128.98/129.11     inference(scs_inference,[],[270,3317,1425,22,13,20])).
% 128.98/129.11  cnf(3351,plain,
% 128.98/129.11     (P2(f6(a1),f3(a1,a1))),
% 128.98/129.11     inference(scs_inference,[],[3299,369,22])).
% 128.98/129.11  cnf(3368,plain,
% 128.98/129.11     (P3(a4,f9(a4,f9(a4,a4)))),
% 128.98/129.11     inference(scs_inference,[],[3345,13])).
% 128.98/129.11  cnf(3392,plain,
% 128.98/129.11     (P3(f3(f3(a1,a1),f6(f3(a1,a1))),f9(a4,a1))),
% 128.98/129.11     inference(scs_inference,[],[272,3286,455,290,30,20])).
% 128.98/129.11  cnf(3414,plain,
% 128.98/129.11     (P3(f3(a1,a4),f9(a4,f9(a4,a4)))),
% 128.98/129.11     inference(scs_inference,[],[276,274,3368,13,20])).
% 128.98/129.11  cnf(3440,plain,
% 128.98/129.11     (P3(a4,f3(a1,a4))),
% 128.98/129.11     inference(scs_inference,[],[274,13])).
% 128.98/129.11  cnf(3463,plain,
% 128.98/129.11     (P2(f9(a4,a4),f3(f9(a1,a1),f8(a4)))),
% 128.98/129.11     inference(scs_inference,[],[3343,1043,22])).
% 128.98/129.11  cnf(3467,plain,
% 128.98/129.11     (~P3(f9(a4,a1),f3(a1,f8(a4)))),
% 128.98/129.11     inference(scs_inference,[],[290,3414,1997,3343,1043,22,13,20])).
% 128.98/129.11  cnf(3480,plain,
% 128.98/129.11     (P2(f9(a4,f8(a4)),f9(a4,a4))),
% 128.98/129.11     inference(scs_inference,[],[268,3341,953,1027,30,23])).
% 128.98/129.11  cnf(3486,plain,
% 128.98/129.11     (~P3(f9(a4,a1),f3(f3(a1,f6(a1)),f8(a4)))),
% 128.98/129.11     inference(scs_inference,[],[268,3467,3341,953,754,1027,30,23,13,21,20])).
% 128.98/129.11  cnf(3490,plain,
% 128.98/129.11     (P2(f6(a1),f3(f3(a1,f6(a1)),f6(a1)))),
% 128.98/129.11     inference(scs_inference,[],[272,3480,3351,1906,30,23])).
% 128.98/129.11  cnf(3494,plain,
% 128.98/129.11     (P3(f3(a4,f6(a4)),f9(a4,a1))),
% 128.98/129.11     inference(scs_inference,[],[276,290,272,3480,3392,3351,1906,30,23,13,20])).
% 128.98/129.11  cnf(3510,plain,
% 128.98/129.11     (~P3(f3(a1,f3(a1,a1)),f8(a4))),
% 128.98/129.11     inference(scs_inference,[],[473,2104,1899,3486,13,15,16,19,20])).
% 128.98/129.11  cnf(3524,plain,
% 128.98/129.11     (P1(f6(a7))),
% 128.98/129.11     inference(scs_inference,[],[2990,5,161,473,2104,1899,3486,13,15,16,19,20,18,26,25,32,31,33,10])).
% 128.98/129.11  cnf(3567,plain,
% 128.98/129.11     (P2(f3(a2,a7),f3(a5,a7))),
% 128.98/129.11     inference(scs_inference,[],[7,6,2990,913,3299,3319,5,290,523,1858,3524,13,20,22,23,29,28,17,27,21,18,26,30])).
% 128.98/129.11  cnf(3569,plain,
% 128.98/129.11     (P2(a7,a7)),
% 128.98/129.11     inference(scs_inference,[],[7,6,2990,913,3299,3319,5,290,523,1858,3524,13,20,22,23,29,28,17,27,21,18,26,30,14])).
% 128.98/129.11  cnf(3574,plain,
% 128.98/129.11     (~P3(a7,f3(a4,f6(a4)))),
% 128.98/129.11     inference(scs_inference,[],[3569,3510,13,379])).
% 128.98/129.11  cnf(3576,plain,
% 128.98/129.11     (~P3(a7,f9(f9(a1,a1),f9(a1,a1)))),
% 128.98/129.11     inference(scs_inference,[],[3569,3510,13,379,243])).
% 128.98/129.11  cnf(3578,plain,
% 128.98/129.11     (~P3(a7,f3(a7,f6(a7)))),
% 128.98/129.11     inference(scs_inference,[],[3569,3510,13,379,243,1901])).
% 128.98/129.11  cnf(3582,plain,
% 128.98/129.11     (~P3(a7,f3(a2,f6(a2)))),
% 128.98/129.11     inference(scs_inference,[],[3569,3510,13,379,243,1901,2171,3033])).
% 128.98/129.11  cnf(3618,plain,
% 128.98/129.11     (~P3(a7,f3(f9(f9(a1,a1),f9(a1,a1)),f9(a1,a1)))),
% 128.98/129.11     inference(scs_inference,[],[1209,3041,3341,3490,169,290,3569,3510,13,379,243,1901,2171,3033,1789,2102,2375,2275,1606,1742,1841,2054,2511,2575,2980,2229,20,23,22,604,1964,2323])).
% 128.98/129.11  cnf(3622,plain,
% 128.98/129.11     (P3(a5,a2)+~P2(a5,a2)),
% 128.98/129.11     inference(scs_inference,[],[6,1209,3041,3341,3490,169,290,3569,3510,13,379,243,1901,2171,3033,1789,2102,2375,2275,1606,1742,1841,2054,2511,2575,2980,2229,20,23,22,604,1964,2323,2936,21])).
% 128.98/129.11  cnf(3626,plain,
% 128.98/129.11     (P3(f3(a1,f8(a4)),f3(f3(a1,f6(a1)),f8(a4)))),
% 128.98/129.11     inference(scs_inference,[],[754,13])).
% 128.98/129.11  cnf(3630,plain,
% 128.98/129.11     (~P3(a7,a1)),
% 128.98/129.11     inference(scs_inference,[],[9,3578,3569,80,754,13,20,22])).
% 128.98/129.11  cnf(3634,plain,
% 128.98/129.11     (P1(f8(a7))),
% 128.98/129.11     inference(scs_inference,[],[9,519,3578,5,3569,80,754,13,20,22,30,193])).
% 128.98/129.11  cnf(3651,plain,
% 128.98/129.11     (P1(f6(a2))),
% 128.98/129.11     inference(scs_inference,[],[913,426,3351,3578,3630,3,169,290,13,20,23,22,10])).
% 128.98/129.11  cnf(3670,plain,
% 128.98/129.11     (P2(f9(a4,a7),f9(a1,a1))),
% 128.98/129.11     inference(scs_inference,[],[136,3319,473,1944,715,13,20,22])).
% 128.98/129.11  cnf(3693,plain,
% 128.98/129.11     (~P3(a7,f3(a1,f3(a1,a1)))),
% 128.98/129.11     inference(scs_inference,[],[2808,3630,3569,8,523,13,20,22])).
% 128.98/129.11  cnf(3701,plain,
% 128.98/129.11     (P3(f9(a4,a7),f9(f8(a4),a7))),
% 128.98/129.11     inference(scs_inference,[],[1209,2808,3630,5,3569,8,523,3634,13,20,22,28,27,17,29])).
% 128.98/129.11  cnf(3707,plain,
% 128.98/129.11     (P1(f9(f6(a2),f6(a2)))),
% 128.98/129.11     inference(scs_inference,[],[736,1209,2808,3630,5,3569,311,8,523,3634,3651,13,20,22,28,27,17,29,14,23,18])).
% 128.98/129.11  cnf(3802,plain,
% 128.98/129.11     (P2(f3(a7,a7),f3(f9(a1,a1),a7))),
% 128.98/129.11     inference(scs_inference,[],[136,3693,3463,5,169,523,1723,13,20,22,30])).
% 128.98/129.11  cnf(3825,plain,
% 128.98/129.11     (P3(f9(a4,f8(a4)),f9(f9(a4,f8(a4)),f8(a4)))),
% 128.98/129.11     inference(scs_inference,[],[785,13])).
% 128.98/129.11  cnf(3829,plain,
% 128.98/129.11     (P2(f9(a4,a7),f3(f9(f9(a1,a1),f9(a1,a1)),f9(a1,a1)))),
% 128.98/129.11     inference(scs_inference,[],[2330,3693,3670,80,785,13,20,23])).
% 128.98/129.11  cnf(3846,plain,
% 128.98/129.11     (P2(f3(a4,a4),f3(a4,a4))),
% 128.98/129.11     inference(scs_inference,[],[1637,2336,3618,989,80,13,20,21,22,14])).
% 128.98/129.11  cnf(3866,plain,
% 128.98/129.11     (P2(f3(a2,f6(a5)),f3(a5,f6(a5)))),
% 128.98/129.11     inference(scs_inference,[],[6,2661,3463,161,94,785,1443,533,3802,13,20,23,22,30])).
% 128.98/129.11  cnf(3872,plain,
% 128.98/129.11     (P1(f3(f6(a2),f6(a2)))),
% 128.98/129.11     inference(scs_inference,[],[6,219,2661,3463,5,161,94,3651,785,1443,533,3802,13,20,23,22,30,28,29,17])).
% 128.98/129.11  cnf(3886,plain,
% 128.98/129.11     (P2(f3(a2,f6(a5)),f3(a1,a1))),
% 128.98/129.11     inference(scs_inference,[],[3693,2483,3576,1944,3866,13,20,23])).
% 128.98/129.11  cnf(3888,plain,
% 128.98/129.11     (~P3(a7,f9(a4,a1))),
% 128.98/129.11     inference(scs_inference,[],[3693,120,2483,3576,3569,1944,3866,13,20,23,22])).
% 128.98/129.11  cnf(3938,plain,
% 128.98/129.11     (~P3(a7,f9(f3(a1,a1),f3(a1,a1)))),
% 128.98/129.11     inference(scs_inference,[],[913,359,3886,3569,754,1858,1057,13,20,23,22])).
% 128.98/129.11  cnf(3940,plain,
% 128.98/129.11     (P2(f3(a1,a7),f3(f3(a4,f6(a4)),a7))),
% 128.98/129.11     inference(scs_inference,[],[913,2990,359,3886,5,3569,754,1858,1057,13,20,23,22,30])).
% 128.98/129.11  cnf(3954,plain,
% 128.98/129.11     (~P3(f3(a5,f6(a2)),f3(a2,f6(a2)))),
% 128.98/129.11     inference(scs_inference,[],[3888,3582,80,13,20])).
% 128.98/129.11  cnf(3985,plain,
% 128.98/129.11     (~P2(a5,a2)),
% 128.98/129.11     inference(scs_inference,[],[3299,2518,3651,754,3866,1219,1544,3846,3626,3954,13,20,23,22,28,21,3622])).
% 128.98/129.11  cnf(3993,plain,
% 128.98/129.11     (~P3(a7,f9(a1,a1))),
% 128.98/129.11     inference(scs_inference,[],[126,3582,3569,715,862,13,20,22])).
% 128.98/129.11  cnf(4044,plain,
% 128.98/129.11     (~P3(f3(f9(a4,a1),a2),a5)),
% 128.98/129.11     inference(scs_inference,[],[3985,2202,1219,1666,892,13,20,22])).
% 128.98/129.11  cnf(4167,plain,
% 128.98/129.11     (~P3(f3(a1,a1),f3(a1,f8(a4)))),
% 128.98/129.11     inference(scs_inference,[],[3993,1895,3626,13,20])).
% 128.98/129.11  cnf(4184,plain,
% 128.98/129.11     (~P2(f3(a1,a5),a2)),
% 128.98/129.11     inference(scs_inference,[],[3985,2131,169,3866,408,165,337,13,20,23,22])).
% 128.98/129.11  cnf(4186,plain,
% 128.98/129.11     (P2(f3(f3(f9(a4,a1),a2),a7),f3(a2,a7))),
% 128.98/129.11     inference(scs_inference,[],[2202,3985,2131,5,169,3866,408,165,337,13,20,23,22,30])).
% 128.98/129.11  cnf(4200,plain,
% 128.98/129.11     (~P3(a7,f3(a1,f6(a1)))),
% 128.98/129.11     inference(scs_inference,[],[102,3938,4044,3569,337,3567,4186,13,20,23,22])).
% 128.98/129.11  cnf(4243,plain,
% 128.98/129.11     (P3(f9(a4,a1),f3(f9(a5,a5),f6(f9(a5,a5))))),
% 128.98/129.11     inference(scs_inference,[],[1193,13])).
% 128.98/129.11  cnf(4295,plain,
% 128.98/129.11     (~P3(a7,f9(a4,f3(a1,a1)))),
% 128.98/129.11     inference(scs_inference,[],[507,4200,3569,509,1899,13,20,22])).
% 128.98/129.11  cnf(4326,plain,
% 128.98/129.11     (P2(a7,f3(f3(a4,f6(a4)),a7))),
% 128.98/129.11     inference(scs_inference,[],[1637,4295,785,3825,3940,13,20,23])).
% 128.98/129.11  cnf(4388,plain,
% 128.98/129.11     (~P3(f3(f9(a4,a1),a2),f3(a1,a5))),
% 128.98/129.11     inference(scs_inference,[],[2202,4184,3574,369,3019,13,20,22])).
% 128.98/129.11  cnf(4465,plain,
% 128.98/129.11     (P2(f3(a5,f6(a2)),a7)),
% 128.98/129.11     inference(scs_inference,[],[3569,80,3626,1874,1806,13,20,22])).
% 128.98/129.11  cnf(4478,plain,
% 128.98/129.11     (P2(f3(a1,a4),f9(a4,a4))),
% 128.98/129.11     inference(scs_inference,[],[215,3341,4388,4465,785,627,3440,13,20,23,22])).
% 128.98/129.11  cnf(4505,plain,
% 128.98/129.11     (~P3(f3(a5,f6(a2)),f3(f8(a4),f6(f8(a4))))),
% 128.98/129.11     inference(scs_inference,[],[9,4478,4465,3305,3463,426,3494,4167,3872,15,16,13,25,18,22,23,20,14,1841])).
% 128.98/129.11  cnf(4511,plain,
% 128.98/129.11     (~P3(f3(a5,f6(a2)),f3(f9(a2,a2),f6(f9(a2,a2))))),
% 128.98/129.11     inference(scs_inference,[],[9,4478,4465,3305,3463,426,3494,4167,3872,15,16,13,25,18,22,23,20,14,1841,1876,1333,2102])).
% 128.98/129.11  cnf(4519,plain,
% 128.98/129.11     (~P3(f3(a5,f6(a2)),f3(f9(a5,a5),f6(f9(a5,a5))))),
% 128.98/129.11     inference(scs_inference,[],[9,4478,4465,3305,3463,426,3494,4167,3872,15,16,13,25,18,22,23,20,14,1841,1876,1333,2102,2275,1223,2936,2054])).
% 128.98/129.11  cnf(4587,plain,
% 128.98/129.11     (~P2(f3(a2,f6(a2)),f3(a5,f6(a2)))),
% 128.98/129.11     inference(scs_inference,[],[3829,4505,4519,4326,4465,3707,3701,4243,3524,13,27,22,23,20,33,31,32,280,19,1578])).
% 128.98/129.11  cnf(4668,plain,
% 128.98/129.11     ($false),
% 128.98/129.11     inference(scs_inference,[],[6,4511,4587,1053,3651,13,18,17,30]),
% 128.98/129.11     ['proof']).
% 128.98/129.11  % SZS output end Proof
% 128.98/129.11  % Total time :128.370000s
%------------------------------------------------------------------------------