TSTP Solution File: FLD025-3 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : FLD025-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n029.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 22:26:35 EDT 2023

% Result   : Unsatisfiable 4.73s 4.93s
% Output   : CNFRefutation 4.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : FLD025-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.11/0.33  % Computer : n029.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Mon Aug 28 00:52:11 EDT 2023
% 0.11/0.33  % CPUTime    : 
% 0.18/0.56  start to proof:theBenchmark
% 4.73/4.92  %-------------------------------------------
% 4.73/4.92  % File        :CSE---1.6
% 4.73/4.92  % Problem     :theBenchmark
% 4.73/4.92  % Transform   :cnf
% 4.73/4.92  % Format      :tptp:raw
% 4.73/4.92  % Command     :java -jar mcs_scs.jar %d %s
% 4.73/4.92  
% 4.73/4.92  % Result      :Theorem 4.290000s
% 4.73/4.92  % Output      :CNFRefutation 4.290000s
% 4.73/4.92  %-------------------------------------------
% 4.73/4.93  %--------------------------------------------------------------------------
% 4.73/4.93  % File     : FLD025-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 4.73/4.93  % Domain   : Field Theory (Ordered fields)
% 4.73/4.93  % Problem  : The resulting equation of a multiplication of two equations
% 4.73/4.93  % Version  : [Dra93] axioms : Especial.
% 4.73/4.93  %            Theorem formulation : Functional with re axiom set.
% 4.73/4.93  % English  :
% 4.73/4.93  
% 4.73/4.93  % Refs     : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 4.73/4.93  % Source   : [Dra93]
% 4.73/4.93  % Names    :
% 4.73/4.93  
% 4.73/4.93  % Status   : Unsatisfiable
% 4.73/4.93  % Rating   : 0.00 v7.5.0, 0.17 v7.4.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.20 v5.2.0, 0.00 v5.0.0, 0.07 v4.1.0, 0.00 v4.0.1, 0.20 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0, 0.20 v2.3.0, 0.33 v2.2.1, 0.67 v2.1.0
% 4.73/4.93  % Syntax   : Number of clauses     :   33 (  10 unt;   3 nHn;  33 RR)
% 4.73/4.93  %            Number of literals    :   84 (   0 equ;  50 neg)
% 4.73/4.93  %            Maximal clause size   :    5 (   2 avg)
% 4.73/4.93  %            Maximal term depth    :    2 (   1 avg)
% 4.73/4.93  %            Number of predicates  :    4 (   4 usr;   0 prp; 1-3 aty)
% 4.73/4.93  %            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
% 4.73/4.93  %            Number of variables   :   73 (   0 sgn)
% 4.73/4.93  % SPC      : CNF_UNS_RFO_NEQ_NHN
% 4.73/4.93  
% 4.73/4.93  % Comments :
% 4.73/4.93  % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 4.73/4.93  %--------------------------------------------------------------------------
% 4.73/4.93  include('Axioms/FLD002-0.ax').
% 4.73/4.93  %--------------------------------------------------------------------------
% 4.73/4.93  cnf(a_is_defined,hypothesis,
% 4.73/4.93      defined(a) ).
% 4.73/4.93  
% 4.73/4.93  cnf(b_is_defined,hypothesis,
% 4.73/4.93      defined(b) ).
% 4.73/4.93  
% 4.73/4.93  cnf(c_is_defined,hypothesis,
% 4.73/4.93      defined(c) ).
% 4.73/4.93  
% 4.73/4.93  cnf(d_is_defined,hypothesis,
% 4.73/4.93      defined(d) ).
% 4.73/4.93  
% 4.73/4.93  cnf(product_5,negated_conjecture,
% 4.73/4.93      product(multiplicative_identity,a,b) ).
% 4.73/4.93  
% 4.73/4.93  cnf(product_6,negated_conjecture,
% 4.73/4.93      product(multiplicative_identity,c,d) ).
% 4.73/4.93  
% 4.73/4.93  cnf(not_product_7,negated_conjecture,
% 4.73/4.93      ~ product(d,b,multiply(a,c)) ).
% 4.73/4.93  
% 4.73/4.93  %--------------------------------------------------------------------------
% 4.73/4.93  %-------------------------------------------
% 4.73/4.93  % Proof found
% 4.73/4.93  % SZS status Theorem for theBenchmark
% 4.73/4.93  % SZS output start Proof
% 4.73/4.93  %ClaNum:33(EqnAxiom:0)
% 4.73/4.93  %VarNum:162(SingletonVarNum:73)
% 4.73/4.93  %MaxLitNum:5
% 4.73/4.93  %MaxfuncDepth:1
% 4.73/4.93  %SharedTerms:17
% 4.73/4.93  %goalClause: 7 8 10
% 4.73/4.93  %singleGoalClaCount:3
% 4.73/4.93  [1]P1(a1)
% 4.73/4.93  [2]P1(a4)
% 4.73/4.93  [3]P1(a2)
% 4.73/4.93  [4]P1(a5)
% 4.73/4.93  [5]P1(a7)
% 4.73/4.93  [6]P1(a8)
% 4.73/4.93  [7]P2(a4,a2,a5)
% 4.73/4.93  [8]P2(a4,a7,a8)
% 4.73/4.93  [9]~P4(a1,a1,a4)
% 4.73/4.93  [10]~P2(a8,a5,f9(a2,a7))
% 4.73/4.93  [16]~P1(x161)+P4(a1,x161,x161)
% 4.73/4.93  [17]~P1(x171)+P2(a4,x171,x171)
% 4.73/4.93  [11]~P1(x111)+P1(f6(x111))
% 4.73/4.93  [18]~P1(x181)+P4(f6(x181),x181,a1)
% 4.73/4.93  [25]~P4(x252,x251,x253)+P4(x251,x252,x253)
% 4.73/4.93  [26]~P2(x262,x261,x263)+P2(x261,x262,x263)
% 4.73/4.93  [19]~P1(x191)+P4(a1,x191,a1)+P1(f10(x191))
% 4.73/4.93  [23]~P1(x231)+P2(f10(x231),x231,a4)+P4(a1,x231,a1)
% 4.73/4.93  [22]~P3(x222,x221)+~P3(x221,x222)+P4(a1,x221,x222)
% 4.73/4.93  [13]~P1(x132)+~P1(x131)+P1(f3(x131,x132))
% 4.73/4.93  [14]~P1(x142)+~P1(x141)+P1(f9(x141,x142))
% 4.73/4.93  [20]~P1(x202)+~P1(x201)+P4(x201,x202,f3(x201,x202))
% 4.73/4.93  [21]~P1(x212)+~P1(x211)+P2(x211,x212,f9(x211,x212))
% 4.73/4.94  [15]~P3(x151,x153)+P3(x151,x152)+~P3(x153,x152)
% 4.73/4.94  [12]P3(x122,x121)+~P1(x121)+~P1(x122)+P3(x121,x122)
% 4.73/4.94  [24]~P2(x243,x242,x241)+P3(a1,x241)+~P3(a1,x242)+~P3(a1,x243)
% 4.73/4.94  [27]~P4(x273,x275,x271)+P3(x271,x272)+~P4(x274,x275,x272)+~P3(x273,x274)
% 4.73/4.94  [28]~P4(x281,x286,x284)+P4(x281,x282,x283)+~P4(x284,x285,x283)+~P4(x286,x285,x282)
% 4.73/4.94  [29]~P4(x296,x294,x291)+P4(x291,x292,x293)+~P4(x294,x292,x295)+~P4(x296,x295,x293)
% 4.73/4.94  [30]~P2(x301,x306,x304)+P2(x301,x302,x303)+~P2(x304,x305,x303)+~P2(x306,x305,x302)
% 4.73/4.94  [31]~P2(x316,x314,x311)+P2(x311,x312,x313)+~P2(x314,x312,x315)+~P2(x316,x315,x313)
% 4.73/4.94  [32]~P2(x325,x327,x322)+~P2(x324,x327,x321)+P4(x321,x322,x323)+~P4(x324,x325,x326)+~P2(x326,x327,x323)
% 4.73/4.94  [33]~P2(x337,x332,x335)+~P2(x336,x332,x334)+P2(x331,x332,x333)+~P4(x334,x335,x333)+~P4(x336,x337,x331)
% 4.73/4.94  %EqnAxiom
% 4.73/4.94  
% 4.73/4.94  %-------------------------------------------
% 4.73/4.94  cnf(34,plain,
% 4.73/4.94     (~P2(a5,a8,f9(a2,a7))),
% 4.73/4.94     inference(scs_inference,[],[10,26])).
% 4.73/4.94  cnf(35,plain,
% 4.73/4.94     (P3(a1,a1)),
% 4.73/4.94     inference(scs_inference,[],[1,10,26,12])).
% 4.73/4.94  cnf(36,plain,
% 4.73/4.94     (P2(a4,a1,a1)),
% 4.73/4.94     inference(scs_inference,[],[1,10,26,12,17])).
% 4.73/4.94  cnf(38,plain,
% 4.73/4.94     (P4(a1,a1,a1)),
% 4.73/4.94     inference(scs_inference,[],[1,10,26,12,17,16])).
% 4.73/4.94  cnf(40,plain,
% 4.73/4.94     (P4(f6(a1),a1,a1)),
% 4.73/4.94     inference(scs_inference,[],[1,10,26,12,17,16,18])).
% 4.73/4.94  cnf(42,plain,
% 4.73/4.94     (P1(f6(a1))),
% 4.73/4.94     inference(scs_inference,[],[1,10,26,12,17,16,18,11])).
% 4.73/4.94  cnf(44,plain,
% 4.73/4.94     (P2(a1,a1,f9(a1,a1))),
% 4.73/4.94     inference(scs_inference,[],[1,10,26,12,17,16,18,11,21])).
% 4.73/4.94  cnf(46,plain,
% 4.73/4.94     (P4(a1,a1,f3(a1,a1))),
% 4.73/4.94     inference(scs_inference,[],[1,10,26,12,17,16,18,11,21,20])).
% 4.73/4.94  cnf(48,plain,
% 4.73/4.94     (P1(f9(a1,a1))),
% 4.73/4.94     inference(scs_inference,[],[1,10,26,12,17,16,18,11,21,20,14])).
% 4.73/4.94  cnf(50,plain,
% 4.73/4.95     (P1(f3(a1,a1))),
% 4.73/4.95     inference(scs_inference,[],[1,10,26,12,17,16,18,11,21,20,14,13])).
% 4.73/4.95  cnf(54,plain,
% 4.73/4.95     (P2(a4,f9(a1,a1),f9(a1,a1))),
% 4.73/4.95     inference(scs_inference,[],[7,1,10,26,12,17,16,18,11,21,20,14,13,31,30])).
% 4.73/4.95  cnf(56,plain,
% 4.73/4.95     (~P4(f6(a1),a1,a4)),
% 4.73/4.95     inference(scs_inference,[],[7,1,9,10,26,12,17,16,18,11,21,20,14,13,31,30,29])).
% 4.73/4.95  cnf(58,plain,
% 4.73/4.95     (~P4(f3(a1,a1),a1,a4)),
% 4.73/4.95     inference(scs_inference,[],[7,1,9,10,26,12,17,16,18,11,21,20,14,13,31,30,29,28])).
% 4.73/4.95  cnf(62,plain,
% 4.73/4.95     (P3(a1,f9(a1,a1))),
% 4.73/4.95     inference(scs_inference,[],[7,1,9,10,26,12,17,16,18,11,21,20,14,13,31,30,29,28,27,24])).
% 4.73/4.95  cnf(64,plain,
% 4.73/4.95     (P4(f9(a1,a1),f9(a1,a1),f9(a1,a1))),
% 4.73/4.95     inference(scs_inference,[],[7,1,9,10,26,12,17,16,18,11,21,20,14,13,31,30,29,28,27,24,32])).
% 4.73/4.95  cnf(66,plain,
% 4.73/4.95     (~P4(a1,f6(a1),a4)),
% 4.73/4.95     inference(scs_inference,[],[7,1,9,10,26,12,17,16,18,11,21,20,14,13,31,30,29,28,27,24,32,25])).
% 4.73/4.95  cnf(68,plain,
% 4.73/4.95     (P4(a1,f3(a1,a1),f3(a1,a1))),
% 4.73/4.95     inference(scs_inference,[],[7,1,9,10,26,12,17,16,18,11,21,20,14,13,31,30,29,28,27,24,32,25,22])).
% 4.73/4.95  cnf(70,plain,
% 4.73/4.95     (P4(a1,a4,a1)+P2(f10(a4),a4,a4)),
% 4.73/4.95     inference(scs_inference,[],[7,1,2,9,10,26,12,17,16,18,11,21,20,14,13,31,30,29,28,27,24,32,25,22,23])).
% 4.73/4.95  cnf(72,plain,
% 4.73/4.95     (P4(a1,a4,a1)+P1(f10(a4))),
% 4.73/4.95     inference(scs_inference,[],[7,1,2,9,10,26,12,17,16,18,11,21,20,14,13,31,30,29,28,27,24,32,25,22,23,19])).
% 4.73/4.95  cnf(74,plain,
% 4.73/4.95     (~P4(a5,a5,x741)+~P4(a4,a4,x742)+P2(x742,a2,x741)),
% 4.73/4.95     inference(scs_inference,[],[7,1,2,9,10,26,12,17,16,18,11,21,20,14,13,31,30,29,28,27,24,32,25,22,23,19,33])).
% 4.73/4.95  cnf(76,plain,
% 4.73/4.95     (P4(f3(a1,a1),a1,f3(a1,a1))),
% 4.73/4.95     inference(scs_inference,[],[68,25])).
% 4.73/4.95  cnf(78,plain,
% 4.73/4.95     (P4(a2,a2,f3(a2,a2))),
% 4.73/4.95     inference(scs_inference,[],[3,68,25,20])).
% 4.73/4.95  cnf(80,plain,
% 4.73/4.95     (P1(f9(a2,a2))),
% 4.73/4.95     inference(scs_inference,[],[3,68,25,20,14])).
% 4.73/4.95  cnf(82,plain,
% 4.73/4.95     (P1(f3(a2,a2))),
% 4.73/4.95     inference(scs_inference,[],[3,68,25,20,14,13])).
% 4.73/4.95  cnf(84,plain,
% 4.73/4.95     (P2(a2,a4,a5)),
% 4.73/4.95     inference(scs_inference,[],[7,3,68,25,20,14,13,26])).
% 4.73/4.95  cnf(86,plain,
% 4.73/4.95     (P2(a2,a2,f9(a2,a2))),
% 4.73/4.95     inference(scs_inference,[],[7,3,68,25,20,14,13,26,21])).
% 4.73/4.95  cnf(96,plain,
% 4.73/4.95     (~P3(f9(a1,a1),a2)+~P4(f6(a1),f6(a1),x961)+P4(x961,a1,a1)),
% 4.73/4.95     inference(scs_inference,[],[7,3,10,68,62,40,25,20,14,13,26,21,15,24,31,30,29])).
% 4.73/4.95  cnf(111,plain,
% 4.73/4.95     (~P4(a1,f3(a1,a1),a4)),
% 4.73/4.95     inference(scs_inference,[],[76,58,68,29])).
% 4.73/4.95  cnf(134,plain,
% 4.73/4.95     (~P2(f9(a1,a1),f9(a1,a1),x1341)+P3(a1,x1341)),
% 4.73/4.95     inference(scs_inference,[],[62,24])).
% 4.73/4.95  cnf(146,plain,
% 4.73/4.95     (~P2(f9(a1,a1),f9(a1,a1),a4)+~P4(f6(a1),f6(a1),x1461)+P4(x1461,a1,a1)+~P2(a4,a8,x1462)),
% 4.73/4.95     inference(scs_inference,[],[8,34,9,66,38,84,40,62,24,22,28,31,30,26,29])).
% 4.73/4.95  cnf(152,plain,
% 4.73/4.95     (~P4(a1,x1521,f6(a1))+~P4(x1522,x1523,a5)+~P4(x1524,x1525,f9(a2,a7))+~P2(f9(a1,a1),f9(a1,a1),a4)+~P2(x1523,a8,x1525)+~P2(x1522,a8,x1524)+~P2(a4,a8,x1526)),
% 4.73/4.95     inference(scs_inference,[],[8,34,9,66,38,84,40,62,24,22,28,31,26,25,33])).
% 4.73/4.95  cnf(153,plain,
% 4.73/4.95     (P2(f9(a1,a1),a4,f9(a1,a1))),
% 4.73/4.95     inference(scs_inference,[],[54,26])).
% 4.73/4.95  cnf(155,plain,
% 4.73/4.95     (P4(a1,f6(a1),a1)),
% 4.73/4.95     inference(scs_inference,[],[54,40,26,25])).
% 4.73/4.95  cnf(157,plain,
% 4.73/4.95     (P4(f6(a7),a7,a1)),
% 4.73/4.95     inference(scs_inference,[],[5,54,40,26,25,18])).
% 4.73/4.95  cnf(159,plain,
% 4.73/4.95     (P4(a1,a7,a7)),
% 4.73/4.95     inference(scs_inference,[],[5,54,40,26,25,18,16])).
% 4.73/4.95  cnf(161,plain,
% 4.73/4.95     (P2(a4,a7,a7)),
% 4.73/4.95     inference(scs_inference,[],[5,54,40,26,25,18,16,17])).
% 4.73/4.95  cnf(163,plain,
% 4.73/4.95     (P1(f6(a7))),
% 4.73/4.95     inference(scs_inference,[],[5,54,40,26,25,18,16,17,11])).
% 4.73/4.95  cnf(165,plain,
% 4.73/4.95     (P2(f9(a2,a2),x1651,f9(a2,a2))+~P2(a2,x1651,a2)),
% 4.73/4.95     inference(scs_inference,[],[5,86,54,40,26,25,18,16,17,11,31])).
% 4.73/4.95  cnf(178,plain,
% 4.73/4.95     (P3(a7,a7)),
% 4.73/4.95     inference(scs_inference,[],[35,159,27])).
% 4.73/4.95  cnf(180,plain,
% 4.73/4.95     (P1(f3(a8,a8))),
% 4.73/4.95     inference(scs_inference,[],[6,35,159,27,13])).
% 4.73/4.95  cnf(182,plain,
% 4.73/4.95     (P4(a8,a8,f3(a8,a8))),
% 4.73/4.95     inference(scs_inference,[],[6,35,159,27,13,20])).
% 4.73/4.95  cnf(184,plain,
% 4.73/4.95     (P1(f9(a8,a8))),
% 4.73/4.95     inference(scs_inference,[],[6,35,159,27,13,20,14])).
% 4.73/4.95  cnf(186,plain,
% 4.73/4.95     (P2(a8,a8,f9(a8,a8))),
% 4.73/4.95     inference(scs_inference,[],[6,35,159,27,13,20,14,21])).
% 4.73/4.95  cnf(192,plain,
% 4.73/4.95     (~P4(x1921,f6(a7),f6(a7))+P4(x1921,a1,a1)),
% 4.73/4.95     inference(scs_inference,[],[6,35,157,159,161,62,27,13,20,14,21,32,22,28])).
% 4.73/4.95  cnf(196,plain,
% 4.73/4.95     (P4(a1,x1961,a1)+~P4(f6(a1),x1961,f6(a1))),
% 4.73/4.95     inference(scs_inference,[],[6,35,155,153,157,159,161,62,27,13,20,14,21,32,22,28,30,29])).
% 4.73/4.95  cnf(202,plain,
% 4.73/4.95     (P2(a7,a4,a7)),
% 4.73/4.95     inference(scs_inference,[],[6,35,155,153,157,159,161,62,27,13,20,14,21,31,26])).
% 4.73/4.95  cnf(203,plain,
% 4.73/4.95     (P1(f9(a5,a5))),
% 4.73/4.95     inference(scs_inference,[],[4,14])).
% 4.73/4.95  cnf(205,plain,
% 4.73/4.95     (P1(f3(a5,a5))),
% 4.73/4.95     inference(scs_inference,[],[4,14,13])).
% 4.73/4.95  cnf(207,plain,
% 4.73/4.95     (P2(a5,a5,f9(a5,a5))),
% 4.73/4.95     inference(scs_inference,[],[4,14,13,21])).
% 4.73/4.95  cnf(209,plain,
% 4.73/4.95     (P4(a5,a5,f3(a5,a5))),
% 4.73/4.95     inference(scs_inference,[],[4,14,13,21,20])).
% 4.73/4.95  cnf(211,plain,
% 4.73/4.95     (P4(f6(a1),a7,a7)),
% 4.73/4.95     inference(scs_inference,[],[4,159,40,14,13,21,20,28])).
% 4.73/4.95  cnf(213,plain,
% 4.73/4.95     (P2(f3(a2,a2),a4,f3(a5,a5))),
% 4.73/4.95     inference(scs_inference,[],[4,159,78,84,40,14,13,21,20,28,33])).
% 4.73/4.95  cnf(215,plain,
% 4.73/4.95     (P2(a1,a4,a1)),
% 4.73/4.95     inference(scs_inference,[],[4,36,159,78,84,40,14,13,21,20,28,33,26])).
% 4.73/4.95  cnf(221,plain,
% 4.73/4.95     (~P2(a5,a4,x2211)+~P2(x2211,a7,f9(a2,a7))),
% 4.73/4.95     inference(scs_inference,[],[4,36,34,202,159,78,84,8,40,14,13,21,20,28,33,26,74,24,30])).
% 4.73/4.95  cnf(225,plain,
% 4.73/4.95     (~P3(a8,a8)+P3(f3(a8,a8),f3(a8,a8))),
% 4.73/4.95     inference(scs_inference,[],[4,36,34,9,202,182,159,78,84,8,40,14,13,21,20,28,33,26,74,24,30,32,27])).
% 4.73/4.95  cnf(233,plain,
% 4.73/4.95     (P2(f3(a1,a1),a4,f3(a1,a1))),
% 4.73/4.95     inference(scs_inference,[],[215,46,33])).
% 4.73/4.95  cnf(235,plain,
% 4.73/4.95     (~P4(x2351,a5,a5)+P4(x2351,f3(a5,a5),f3(a5,a5))),
% 4.73/4.95     inference(scs_inference,[],[209,215,46,33,28])).
% 4.73/4.95  cnf(237,plain,
% 4.73/4.95     (~P2(a1,a4,a4)),
% 4.73/4.95     inference(scs_inference,[],[9,209,215,38,46,33,28,32])).
% 4.73/4.95  cnf(247,plain,
% 4.73/4.95     (~P2(x2471,a4,a4)+~P4(a7,a5,a5)+P2(x2471,a1,a1)),
% 4.73/4.95     inference(scs_inference,[],[3,36,9,209,215,178,38,46,33,28,32,27,26,23,19,30])).
% 4.73/4.95  cnf(258,plain,
% 4.73/4.95     (~P2(f3(a1,a1),a4,a4)),
% 4.73/4.95     inference(scs_inference,[],[233,58,76,215,32])).
% 4.73/4.95  cnf(260,plain,
% 4.73/4.95     (P2(a8,a4,a8)),
% 4.73/4.95     inference(scs_inference,[],[233,202,58,76,215,8,32,31])).
% 4.73/4.95  cnf(262,plain,
% 4.73/4.95     (P2(a4,f3(a1,a1),f3(a1,a1))),
% 4.73/4.95     inference(scs_inference,[],[233,202,58,76,215,8,32,31,26])).
% 4.73/4.95  cnf(264,plain,
% 4.73/4.95     (P4(a1,a4,a4)),
% 4.73/4.95     inference(scs_inference,[],[2,233,202,58,76,215,8,32,31,26,16])).
% 4.73/4.95  cnf(266,plain,
% 4.73/4.95     (P2(a4,a4,a4)),
% 4.73/4.95     inference(scs_inference,[],[2,233,202,58,76,215,8,32,31,26,16,17])).
% 4.73/4.95  cnf(268,plain,
% 4.73/4.95     (P4(f6(a4),a4,a1)),
% 4.73/4.95     inference(scs_inference,[],[2,233,202,58,76,215,8,32,31,26,16,17,18])).
% 4.73/4.95  cnf(270,plain,
% 4.73/4.95     (P1(f6(a4))),
% 4.73/4.95     inference(scs_inference,[],[2,233,202,58,76,215,8,32,31,26,16,17,18,11])).
% 4.73/4.95  cnf(288,plain,
% 4.73/4.95     (~P2(a8,a2,f9(a2,a7))),
% 4.73/4.95     inference(scs_inference,[],[260,10,7,30])).
% 4.73/4.95  cnf(290,plain,
% 4.73/4.95     (P4(a4,a1,a4)),
% 4.73/4.95     inference(scs_inference,[],[264,260,10,7,30,25])).
% 4.73/4.95  cnf(292,plain,
% 4.73/4.95     (~P4(a1,a4,f3(a1,a1))),
% 4.73/4.95     inference(scs_inference,[],[264,258,260,266,10,215,7,30,25,33])).
% 4.73/4.95  cnf(294,plain,
% 4.73/4.95     (~P2(a4,a1,a4)),
% 4.73/4.95     inference(scs_inference,[],[36,264,258,260,266,237,10,215,7,30,25,33,31])).
% 4.73/4.95  cnf(296,plain,
% 4.73/4.95     (~P2(a4,f3(a1,a1),a4)),
% 4.73/4.95     inference(scs_inference,[],[36,264,258,260,266,237,10,215,7,30,25,33,31,26])).
% 4.73/4.95  cnf(304,plain,
% 4.73/4.95     (P3(a8,a8)),
% 4.73/4.95     inference(scs_inference,[],[6,36,264,258,260,266,186,211,237,56,10,215,7,30,25,33,31,26,28,152,74,12])).
% 4.73/4.95  cnf(310,plain,
% 4.73/4.95     (~P3(a5,a5)+P4(f3(a5,a5),x3101,f3(a5,a5))+~P4(a5,x3101,a5)),
% 4.73/4.95     inference(scs_inference,[],[6,36,264,258,260,266,186,211,237,209,56,10,215,7,30,25,33,31,26,28,152,74,12,27,22,29])).
% 4.73/4.95  cnf(314,plain,
% 4.73/4.95     (P3(f3(a8,a8),f3(a8,a8))),
% 4.73/4.95     inference(scs_inference,[],[304,225])).
% 4.73/4.95  cnf(315,plain,
% 4.73/4.95     (P4(a1,a8,a8)),
% 4.73/4.95     inference(scs_inference,[],[304,22])).
% 4.73/4.95  cnf(317,plain,
% 4.73/4.95     (~P4(a4,a1,a1)),
% 4.73/4.95     inference(scs_inference,[],[38,9,290,304,22,29])).
% 4.73/4.95  cnf(319,plain,
% 4.73/4.95     (~P4(a4,f6(a1),f6(a1))),
% 4.73/4.95     inference(scs_inference,[],[38,40,9,290,304,22,29,28])).
% 4.73/4.95  cnf(321,plain,
% 4.73/4.95     (~P4(a4,a1,f3(a1,a1))),
% 4.73/4.95     inference(scs_inference,[],[38,40,9,290,304,292,22,29,28,25])).
% 4.73/4.95  cnf(323,plain,
% 4.73/4.95     (P2(f3(a8,a8),a4,f3(a8,a8))),
% 4.73/4.95     inference(scs_inference,[],[38,40,9,290,304,292,260,182,22,29,28,25,33])).
% 4.73/4.95  cnf(325,plain,
% 4.73/4.95     (P2(a4,f3(a2,a2),f3(a5,a5))),
% 4.73/4.95     inference(scs_inference,[],[38,40,9,290,213,304,292,260,182,22,29,28,25,33,26])).
% 4.73/4.95  cnf(327,plain,
% 4.73/4.95     (P4(a7,a7,f3(a7,a7))),
% 4.73/4.95     inference(scs_inference,[],[5,38,40,9,290,213,304,292,260,182,22,29,28,25,33,26,20])).
% 4.73/4.95  cnf(329,plain,
% 4.73/4.95     (P1(f9(a7,a7))),
% 4.73/4.95     inference(scs_inference,[],[5,38,40,9,290,213,304,292,260,182,22,29,28,25,33,26,20,14])).
% 4.73/4.95  cnf(331,plain,
% 4.73/4.95     (P1(f3(a7,a7))),
% 4.73/4.95     inference(scs_inference,[],[5,38,40,9,290,213,304,292,260,182,22,29,28,25,33,26,20,14,13])).
% 4.73/4.95  cnf(333,plain,
% 4.73/4.95     (P2(a7,a7,f9(a7,a7))),
% 4.73/4.95     inference(scs_inference,[],[5,38,40,9,290,213,304,292,260,182,22,29,28,25,33,26,20,14,13,21])).
% 4.73/4.95  cnf(337,plain,
% 4.73/4.95     (~P4(a4,f6(a7),f6(a7))),
% 4.73/4.95     inference(scs_inference,[],[5,38,40,9,290,213,304,292,260,182,78,22,29,28,25,33,26,20,14,13,21,27,192])).
% 4.73/4.95  cnf(349,plain,
% 4.73/4.95     (P2(a4,a2,a2)),
% 4.73/4.95     inference(scs_inference,[],[3,17])).
% 4.73/4.95  cnf(355,plain,
% 4.73/4.95     (P2(f9(a1,a1),f9(a1,a1),f9(f9(a1,a1),f9(a1,a1)))),
% 4.73/4.95     inference(scs_inference,[],[3,48,17,14,13,21])).
% 4.73/4.95  cnf(357,plain,
% 4.73/4.95     (P4(f9(a1,a1),f9(a1,a1),f3(f9(a1,a1),f9(a1,a1)))),
% 4.73/4.95     inference(scs_inference,[],[3,48,17,14,13,21,20])).
% 4.73/4.95  cnf(361,plain,
% 4.73/4.95     (P4(a8,a1,a8)),
% 4.73/4.95     inference(scs_inference,[],[3,48,315,325,266,17,14,13,21,20,30,25])).
% 4.73/4.95  cnf(367,plain,
% 4.73/4.95     (P2(f3(a5,a5),a4,f3(a5,a5))),
% 4.73/4.95     inference(scs_inference,[],[3,48,315,325,319,327,266,290,213,211,155,17,14,13,21,20,30,25,29,28,31])).
% 4.73/4.95  cnf(369,plain,
% 4.73/4.95     (~P2(f6(a4),a4,a1)),
% 4.73/4.95     inference(scs_inference,[],[3,48,315,325,319,327,268,266,290,237,213,211,264,155,17,14,13,21,20,30,25,29,28,31,33])).
% 4.73/4.95  cnf(375,plain,
% 4.73/4.95     (P4(a1,f9(a1,a1),a1)),
% 4.73/4.95     inference(scs_inference,[],[3,36,9,48,315,325,319,288,327,268,266,290,237,213,211,264,155,44,17,14,13,21,20,30,25,29,28,31,33,26,22,32])).
% 4.73/4.95  cnf(377,plain,
% 4.73/4.95     (P3(a1,f9(f9(a1,a1),f9(a1,a1)))),
% 4.73/4.95     inference(scs_inference,[],[3,36,9,48,315,325,319,288,327,268,266,290,237,213,211,264,155,44,17,14,13,21,20,30,25,29,28,31,33,26,22,32,134])).
% 4.73/4.95  cnf(385,plain,
% 4.73/4.95     (P4(a1,f3(a8,a8),f3(a8,a8))),
% 4.73/4.95     inference(scs_inference,[],[314,22])).
% 4.73/4.95  cnf(387,plain,
% 4.73/4.95     (P2(a4,a5,a5)),
% 4.73/4.95     inference(scs_inference,[],[349,314,84,22,30])).
% 4.73/4.95  cnf(389,plain,
% 4.73/4.95     (~P4(a1,a4,a1)),
% 4.73/4.95     inference(scs_inference,[],[317,349,314,84,22,30,25])).
% 4.73/4.95  cnf(393,plain,
% 4.73/4.95     (P2(f9(a7,a7),a4,f9(a7,a7))),
% 4.73/4.95     inference(scs_inference,[],[38,317,349,333,314,202,66,84,264,22,30,25,28,31])).
% 4.73/4.95  cnf(395,plain,
% 4.73/4.95     (P2(a1,a1,f3(f9(a1,a1),f9(a1,a1)))),
% 4.73/4.95     inference(scs_inference,[],[38,357,317,349,333,314,202,66,84,44,264,22,30,25,28,31,33])).
% 4.73/4.95  cnf(397,plain,
% 4.73/4.95     (P2(a2,a4,a2)),
% 4.73/4.95     inference(scs_inference,[],[38,357,317,349,333,314,202,66,84,44,264,22,30,25,28,31,33,26])).
% 4.73/4.95  cnf(399,plain,
% 4.73/4.95     (P2(f9(a2,a2),a4,f9(a2,a2))),
% 4.73/4.95     inference(scs_inference,[],[38,357,317,349,333,314,202,66,84,44,264,22,30,25,28,31,33,26,165])).
% 4.73/4.95  cnf(401,plain,
% 4.73/4.95     (~P4(f6(a1),a4,f6(a1))),
% 4.73/4.95     inference(scs_inference,[],[38,357,317,349,333,314,202,66,84,44,264,22,30,25,28,31,33,26,165,196])).
% 4.73/4.95  cnf(403,plain,
% 4.73/4.95     (P1(f10(a4))),
% 4.73/4.95     inference(scs_inference,[],[38,357,317,349,333,314,202,66,84,44,264,22,30,25,28,31,33,26,165,196,72])).
% 4.73/4.95  cnf(404,plain,
% 4.73/4.95     (P2(f10(a4),a4,a4)),
% 4.73/4.95     inference(scs_inference,[],[38,357,317,349,333,314,202,66,84,44,264,22,30,25,28,31,33,26,165,196,72,70])).
% 4.73/4.95  cnf(405,plain,
% 4.73/4.95     (P4(a1,a5,a5)),
% 4.73/4.95     inference(scs_inference,[],[4,38,357,317,349,333,314,202,66,84,44,264,22,30,25,28,31,33,26,165,196,72,70,16])).
% 4.73/4.95  cnf(407,plain,
% 4.73/4.95     (P4(f6(a5),a5,a1)),
% 4.73/4.95     inference(scs_inference,[],[4,38,357,317,349,333,314,202,66,84,44,264,22,30,25,28,31,33,26,165,196,72,70,16,18])).
% 4.73/4.95  cnf(409,plain,
% 4.73/4.95     (P1(f6(a5))),
% 4.73/4.95     inference(scs_inference,[],[4,38,357,317,349,333,314,202,66,84,44,264,22,30,25,28,31,33,26,165,196,72,70,16,18,11])).
% 4.73/4.95  cnf(419,plain,
% 4.73/4.95     (P4(f6(a1),f6(a1),f3(f6(a1),f6(a1)))),
% 4.73/4.95     inference(scs_inference,[],[42,20])).
% 4.73/4.95  cnf(421,plain,
% 4.73/4.95     (P4(a1,f3(f9(a1,a1),f9(a1,a1)),a1)),
% 4.73/4.96     inference(scs_inference,[],[42,375,357,20,28])).
% 4.73/4.96  cnf(423,plain,
% 4.73/4.96     (~P4(f9(a1,a1),a4,f9(a1,a1))),
% 4.73/4.96     inference(scs_inference,[],[42,389,375,357,20,28,29])).
% 4.73/4.96  cnf(425,plain,
% 4.73/4.96     (~P2(f10(a4),a1,a4)),
% 4.73/4.96     inference(scs_inference,[],[42,36,389,375,404,294,357,20,28,29,31])).
% 4.73/4.96  cnf(427,plain,
% 4.73/4.96     (~P2(a4,a4,a1)),
% 4.73/4.96     inference(scs_inference,[],[42,36,389,375,404,294,357,266,20,28,29,31,30])).
% 4.73/4.96  cnf(429,plain,
% 4.73/4.96     (P4(f9(a1,a1),a1,a1)),
% 4.73/4.96     inference(scs_inference,[],[42,36,389,375,404,294,357,266,20,28,29,31,30,25])).
% 4.73/4.96  cnf(431,plain,
% 4.73/4.96     (~P2(a1,a1,a4)),
% 4.73/4.96     inference(scs_inference,[],[42,36,389,375,404,294,357,266,290,264,20,28,29,31,30,25,33])).
% 4.73/4.96  cnf(433,plain,
% 4.73/4.96     (~P2(a4,f6(a4),a1)),
% 4.73/4.96     inference(scs_inference,[],[42,36,389,375,404,369,294,357,266,290,264,20,28,29,31,30,25,33,26])).
% 4.73/4.96  cnf(437,plain,
% 4.73/4.96     (P3(a1,f3(f9(a1,a1),f9(a1,a1)))),
% 4.73/4.96     inference(scs_inference,[],[42,35,36,389,375,404,395,369,294,357,266,290,264,20,28,29,31,30,25,33,26,247,24])).
% 4.73/4.96  cnf(439,plain,
% 4.73/4.96     (P2(a4,f6(a1),f6(a1))),
% 4.73/4.96     inference(scs_inference,[],[42,35,36,389,375,404,395,369,294,357,266,290,264,20,28,29,31,30,25,33,26,247,24,17])).
% 4.73/4.96  cnf(445,plain,
% 4.73/4.96     (P4(f3(a1,a1),f3(a1,a1),f3(f3(a1,a1),f3(a1,a1)))),
% 4.73/4.96     inference(scs_inference,[],[50,20])).
% 4.73/4.96  cnf(447,plain,
% 4.73/4.96     (~P2(a4,f9(a1,a1),a4)),
% 4.73/4.96     inference(scs_inference,[],[44,36,50,431,20,31])).
% 4.73/4.96  cnf(449,plain,
% 4.73/4.96     (~P2(a1,a1,f10(a4))),
% 4.73/4.96     inference(scs_inference,[],[44,36,50,431,404,215,20,31,30])).
% 4.73/4.96  cnf(451,plain,
% 4.73/4.96     (P4(a2,a2,f3(a5,a5))),
% 4.73/4.96     inference(scs_inference,[],[44,36,50,431,397,404,213,78,215,20,31,30,32])).
% 4.73/4.96  cnf(453,plain,
% 4.73/4.96     (P4(f6(a1),f3(a8,a8),f3(a8,a8))),
% 4.73/4.96     inference(scs_inference,[],[44,40,36,385,50,431,397,404,213,78,215,20,31,30,32,28])).
% 4.73/4.96  cnf(455,plain,
% 4.73/4.96     (~P4(f6(a1),f6(a4),a1)),
% 4.73/4.96     inference(scs_inference,[],[44,40,36,385,50,431,397,389,268,404,213,78,215,20,31,30,32,28,29])).
% 4.73/4.96  cnf(457,plain,
% 4.73/4.96     (~P4(a4,f9(a1,a1),f9(a1,a1))),
% 4.73/4.96     inference(scs_inference,[],[44,40,36,385,50,431,423,397,389,268,404,213,78,215,20,31,30,32,28,29,25])).
% 4.73/4.96  cnf(459,plain,
% 4.73/4.96     (~P2(f6(a4),a1,a4)),
% 4.73/4.96     inference(scs_inference,[],[44,40,36,385,50,431,423,397,389,268,404,213,78,290,215,20,31,30,32,28,29,25,33])).
% 4.73/4.96  cnf(461,plain,
% 4.73/4.96     (P2(a5,a4,a5)),
% 4.73/4.96     inference(scs_inference,[],[44,40,36,385,387,50,431,423,397,389,268,404,213,78,290,215,20,31,30,32,28,29,25,33,26])).
% 4.73/4.96  cnf(463,plain,
% 4.73/4.96     (~P2(a5,a7,f9(a2,a7))),
% 4.73/4.96     inference(scs_inference,[],[44,40,36,385,387,50,431,423,397,389,268,404,213,78,290,215,20,31,30,32,28,29,25,33,26,221])).
% 4.73/4.96  cnf(476,plain,
% 4.73/4.96     (~P3(x4761,a2)+~P3(f9(a1,a1),x4761)+P4(f3(f6(a1),f6(a1)),a1,a1)),
% 4.73/4.96     inference(scs_inference,[],[5,44,35,40,36,385,387,50,405,431,423,419,397,389,268,404,213,78,48,290,215,3,20,31,30,32,28,29,25,33,26,221,96,12,27,310,23,19,15])).
% 4.73/4.96  cnf(484,plain,
% 4.73/4.96     (~P4(a1,a1,f6(a4))),
% 4.73/4.96     inference(scs_inference,[],[38,40,401,439,455,290,32,28])).
% 4.73/4.96  cnf(488,plain,
% 4.73/4.96     (P2(f10(a4),a1,a1)),
% 4.73/4.96     inference(scs_inference,[],[38,40,36,401,207,439,455,461,404,290,32,28,31,30])).
% 4.73/4.96  cnf(490,plain,
% 4.73/4.96     (~P4(f3(a1,a1),f6(a4),a1)),
% 4.73/4.96     inference(scs_inference,[],[38,40,36,401,207,439,455,461,292,268,76,404,290,32,28,31,30,29])).
% 4.73/4.96  cnf(492,plain,
% 4.73/4.96     (P4(f3(a8,a8),f6(a1),f3(a8,a8))),
% 4.73/4.96     inference(scs_inference,[],[38,40,36,453,401,207,439,455,461,292,268,76,404,290,32,28,31,30,29,25])).
% 4.73/4.96  cnf(494,plain,
% 4.73/4.96     (P2(f3(a2,a2),a4,f3(a2,a2))),
% 4.73/4.96     inference(scs_inference,[],[38,40,36,453,401,207,439,455,461,292,397,268,76,404,78,290,32,28,31,30,29,25,33])).
% 4.73/4.96  cnf(496,plain,
% 4.73/4.96     (~P2(f9(a1,a1),a4,a4)),
% 4.73/4.96     inference(scs_inference,[],[38,40,36,453,401,207,439,455,447,461,292,397,268,76,404,78,290,32,28,31,30,29,25,33,26])).
% 4.73/4.96  cnf(520,plain,
% 4.73/4.96     (P2(a2,a5,f9(a2,a2))),
% 4.73/4.96     inference(scs_inference,[],[82,399,86,84,21,14,13,30])).
% 4.73/4.96  cnf(522,plain,
% 4.73/4.96     (~P4(f3(a1,a1),a1,f6(a4))),
% 4.73/4.96     inference(scs_inference,[],[46,38,82,399,484,86,84,21,14,13,30,28])).
% 4.73/4.96  cnf(524,plain,
% 4.73/4.96     (P4(f3(a1,a1),f3(f9(a1,a1),f9(a1,a1)),f3(a1,a1))),
% 4.73/4.96     inference(scs_inference,[],[46,38,82,399,484,421,86,84,21,14,13,30,28,29])).
% 4.73/4.96  cnf(526,plain,
% 4.73/4.96     (P2(f9(a8,a8),a4,f9(a8,a8))),
% 4.73/4.96     inference(scs_inference,[],[46,38,82,399,484,421,86,186,84,260,21,14,13,30,28,29,31])).
% 4.73/4.96  cnf(532,plain,
% 4.73/4.96     (P2(f3(a1,a1),a1,f3(f9(a1,a1),f9(a1,a1)))),
% 4.73/4.96     inference(scs_inference,[],[46,44,38,337,323,82,399,484,421,86,357,186,84,260,21,14,13,30,28,29,31,26,25,33])).
% 4.73/4.96  cnf(534,plain,
% 4.73/4.96     (P4(a1,f3(a5,a5),f3(a5,a5))),
% 4.73/4.96     inference(scs_inference,[],[46,44,38,337,323,82,399,484,421,405,86,357,186,84,260,21,14,13,30,28,29,31,26,25,33,235])).
% 4.73/4.96  cnf(536,plain,
% 4.73/4.96     (P4(a1,f6(a1),f6(a1))),
% 4.73/4.96     inference(scs_inference,[],[46,42,44,38,337,323,82,399,484,421,405,86,357,186,84,260,21,14,13,30,28,29,31,26,25,33,235,16])).
% 4.73/4.96  cnf(538,plain,
% 4.73/4.96     (P4(f6(a8),a8,a1)),
% 4.73/4.96     inference(scs_inference,[],[6,46,42,44,38,337,323,82,399,484,421,405,86,357,186,84,260,21,14,13,30,28,29,31,26,25,33,235,16,18])).
% 4.73/4.96  cnf(540,plain,
% 4.73/4.96     (P1(f6(a8))),
% 4.73/4.96     inference(scs_inference,[],[6,46,42,44,38,337,323,82,399,484,421,405,86,357,186,84,260,21,14,13,30,28,29,31,26,25,33,235,16,18,11])).
% 4.73/4.96  cnf(557,plain,
% 4.73/4.96     (~P2(f9(a1,a1),f9(a1,a1),a4)+~P4(x5571,x5572,f9(a2,a7))+~P2(x5573,a8,x5572)+~P2(x5574,a8,x5571)+~P4(x5574,x5573,a5)+~P2(a4,a8,x5575)),
% 4.73/4.96     inference(scs_inference,[],[536,152])).
% 4.73/4.96  cnf(560,plain,
% 4.73/4.96     (~P2(f9(a1,a1),a4,f10(a4))),
% 4.73/4.96     inference(scs_inference,[],[44,449,215,30])).
% 4.73/4.96  cnf(562,plain,
% 4.73/4.96     (P4(f6(a1),f3(a1,a1),f3(a1,a1))),
% 4.73/4.96     inference(scs_inference,[],[44,46,40,449,215,30,28])).
% 4.73/4.96  cnf(570,plain,
% 4.73/4.96     (P4(f3(f9(a1,a1),f9(a1,a1)),f3(a1,a1),f3(a1,a1))),
% 4.73/4.96     inference(scs_inference,[],[44,46,40,524,407,457,425,449,389,215,30,28,32,29,26,25])).
% 4.73/4.96  cnf(572,plain,
% 4.73/4.96     (~P2(a4,f9(a1,a1),f10(a4))),
% 4.73/4.96     inference(scs_inference,[],[44,46,40,36,524,407,457,425,449,389,215,30,28,32,29,26,25,31])).
% 4.73/4.96  cnf(574,plain,
% 4.73/4.96     (~P4(f9(a1,a1),f9(a1,a1),f10(a4))),
% 4.73/4.96     inference(scs_inference,[],[44,46,40,38,36,524,407,457,425,449,389,215,30,28,32,29,26,25,31,33])).
% 4.73/4.96  cnf(576,plain,
% 4.73/4.96     (P2(a4,a8,a8)),
% 4.73/4.96     inference(scs_inference,[],[6,44,46,40,38,36,524,407,457,425,449,389,215,30,28,32,29,26,25,31,33,17])).
% 4.73/4.96  cnf(591,plain,
% 4.73/4.96     (~P2(f9(a1,a1),f9(a1,a1),a4)+~P4(f6(a1),f6(a1),x5911)+P4(x5911,a1,a1)),
% 4.73/4.96     inference(scs_inference,[],[576,146])).
% 4.73/4.96  cnf(594,plain,
% 4.73/4.96     (P3(f9(a1,a1),f9(a1,a1))),
% 4.73/4.96     inference(scs_inference,[],[48,12])).
% 4.73/4.96  cnf(600,plain,
% 4.73/4.96     (P4(a1,f9(a1,a1),f9(a1,a1))),
% 4.73/4.96     inference(scs_inference,[],[48,35,534,163,12,20,27,22])).
% 4.73/4.96  cnf(602,plain,
% 4.73/4.96     (~P2(a4,a1,f6(a4))),
% 4.73/4.96     inference(scs_inference,[],[48,35,36,534,163,433,266,12,20,27,22,30])).
% 4.73/4.96  cnf(606,plain,
% 4.73/4.96     (~P4(a1,f6(a4),a1)),
% 4.73/4.96     inference(scs_inference,[],[48,35,46,38,36,534,538,163,490,433,317,266,12,20,27,22,30,28,29])).
% 4.73/4.96  cnf(608,plain,
% 4.73/4.96     (P2(a4,f9(a7,a7),f9(a7,a7))),
% 4.73/4.96     inference(scs_inference,[],[48,35,46,38,36,534,393,538,163,490,433,317,266,12,20,27,22,30,28,29,26])).
% 4.73/4.96  cnf(610,plain,
% 4.73/4.96     (~P4(f9(a1,a1),a1,a4)),
% 4.73/4.96     inference(scs_inference,[],[48,35,46,38,36,534,393,427,538,163,490,433,429,153,317,266,215,12,20,27,22,30,28,29,26,33])).
% 4.73/4.96  cnf(612,plain,
% 4.73/4.96     (~P4(f6(a4),f3(a1,a1),a1)),
% 4.73/4.96     inference(scs_inference,[],[48,35,46,38,36,534,393,427,538,163,490,433,429,153,317,266,215,12,20,27,22,30,28,29,26,33,25])).
% 4.73/4.96  cnf(616,plain,
% 4.73/4.96     (~P4(f6(a1),f6(a4),f6(a1))),
% 4.73/4.96     inference(scs_inference,[],[48,35,46,38,36,534,393,427,538,163,490,433,429,419,153,317,266,215,12,20,27,22,30,28,29,26,33,25,591,196])).
% 4.73/4.96  cnf(620,plain,
% 4.73/4.96     (P2(f10(f6(a4)),f6(a4),a4)),
% 4.73/4.96     inference(scs_inference,[],[48,35,46,38,36,534,393,427,538,163,270,490,433,429,419,153,317,266,215,12,20,27,22,30,28,29,26,33,25,591,196,19,23])).
% 4.73/4.96  cnf(626,plain,
% 4.73/4.96     (~P2(f9(a1,a1),f9(a1,a1),a4)+~P4(x6261,x6262,f9(a2,a7))+~P4(x6263,x6264,a5)+~P2(x6264,a8,x6262)+~P2(x6263,a8,x6261)),
% 4.73/4.96     inference(scs_inference,[],[576,557])).
% 4.73/4.96  cnf(629,plain,
% 4.73/4.96     (P2(f10(a4),f9(a7,a7),f9(a7,a7))),
% 4.73/4.96     inference(scs_inference,[],[35,608,536,404,27,30])).
% 4.73/4.96  cnf(631,plain,
% 4.73/4.96     (~P2(a1,f6(a4),a4)),
% 4.73/4.96     inference(scs_inference,[],[35,608,459,536,404,27,30,26])).
% 4.73/4.96  cnf(633,plain,
% 4.73/4.96     (~P4(f6(a4),a1,f6(a1))),
% 4.73/4.96     inference(scs_inference,[],[35,40,46,608,612,459,536,404,27,30,26,28])).
% 4.73/4.96  cnf(635,plain,
% 4.73/4.96     (~P4(a4,f6(a1),f9(a1,a1))),
% 4.73/4.96     inference(scs_inference,[],[35,40,46,608,612,610,459,536,404,290,27,30,26,28,29])).
% 4.73/4.96  cnf(637,plain,
% 4.73/4.96     (~P4(f10(a4),a1,f9(a1,a1))),
% 4.73/4.96     inference(scs_inference,[],[35,40,46,608,612,496,610,459,536,404,290,215,27,30,26,28,29,33])).
% 4.73/4.96  cnf(639,plain,
% 4.73/4.96     (P4(f3(a1,a1),f6(a1),f3(a1,a1))),
% 4.73/4.96     inference(scs_inference,[],[35,40,46,608,562,612,496,610,459,536,404,290,215,27,30,26,28,29,33,25])).
% 4.73/4.96  cnf(641,plain,
% 4.73/4.96     (~P2(f3(a1,a1),a1,f10(a4))),
% 4.73/4.96     inference(scs_inference,[],[35,40,46,44,608,574,562,612,496,610,459,536,404,290,215,27,30,26,28,29,33,25,32])).
% 4.73/4.96  cnf(643,plain,
% 4.73/4.96     (~P2(a4,f3(f9(a1,a1),f9(a1,a1)),f10(a4))),
% 4.73/4.96     inference(scs_inference,[],[35,40,46,44,608,574,562,532,612,496,610,459,536,262,404,290,215,27,30,26,28,29,33,25,32,31])).
% 4.73/4.96  cnf(645,plain,
% 4.73/4.96     (P3(f9(a8,a8),f9(a8,a8))),
% 4.73/4.96     inference(scs_inference,[],[35,40,46,44,608,574,562,532,184,612,496,610,459,536,262,404,290,215,27,30,26,28,29,33,25,32,31,12])).
% 4.73/4.96  cnf(653,plain,
% 4.73/4.96     (P3(f3(a7,a7),f3(a7,a7))),
% 4.73/4.96     inference(scs_inference,[],[50,327,178,21,27])).
% 4.73/4.96  cnf(661,plain,
% 4.73/4.96     (~P2(a1,a1,f6(a4))),
% 4.73/4.96     inference(scs_inference,[],[50,40,36,616,629,520,606,536,327,349,178,290,21,27,30,28,26,32])).
% 4.73/4.96  cnf(663,plain,
% 4.73/4.96     (~P2(f6(a4),f3(a1,a1),f6(a4))),
% 4.73/4.96     inference(scs_inference,[],[50,40,36,616,629,620,520,606,296,536,327,349,178,290,21,27,30,28,26,32,31])).
% 4.73/4.96  cnf(665,plain,
% 4.73/4.96     (~P4(f6(a4),f6(a1),f6(a1))),
% 4.73/4.96     inference(scs_inference,[],[50,40,36,616,629,620,520,606,296,536,327,349,178,290,21,27,30,28,26,32,31,25])).
% 4.73/4.96  cnf(667,plain,
% 4.73/4.96     (P4(a1,f9(a5,a5),f9(a5,a5))),
% 4.73/4.96     inference(scs_inference,[],[50,40,36,616,629,203,620,520,606,296,536,327,349,178,290,21,27,30,28,26,32,31,25,16])).
% 4.73/4.96  cnf(671,plain,
% 4.73/4.96     (P4(f6(f3(a1,a1)),f3(a1,a1),a1)),
% 4.73/4.96     inference(scs_inference,[],[50,40,36,616,629,203,620,520,606,296,536,327,349,178,290,21,27,30,28,26,32,31,25,16,19,18])).
% 4.73/4.96  cnf(683,plain,
% 4.73/4.96     (P4(a1,f9(a8,a8),f9(a8,a8))),
% 4.73/4.96     inference(scs_inference,[],[50,38,40,36,645,616,629,203,620,520,606,296,612,576,536,327,349,178,290,21,27,30,28,26,32,31,25,16,19,18,11,14,13,29,626,22])).
% 4.73/4.96  cnf(693,plain,
% 4.73/4.96     (P4(a8,f3(a1,a1),a8)),
% 4.73/4.96     inference(scs_inference,[],[46,329,361,14,13,21,28])).
% 4.73/4.96  cnf(699,plain,
% 4.73/4.96     (~P4(f3(a1,a1),f6(a4),f3(a1,a1))),
% 4.73/4.96     inference(scs_inference,[],[46,663,671,329,641,361,606,532,215,14,13,21,28,26,30,29])).
% 4.73/4.96  cnf(701,plain,
% 4.73/4.96     (~P4(a1,f9(a1,a1),f10(a4))),
% 4.73/4.96     inference(scs_inference,[],[46,600,560,663,671,329,641,361,606,532,153,215,14,13,21,28,26,30,29,33])).
% 4.73/4.96  cnf(703,plain,
% 4.73/4.96     (~P2(f3(a1,a1),a4,f6(a4))),
% 4.73/4.96     inference(scs_inference,[],[46,600,560,663,671,329,641,361,606,532,484,153,215,14,13,21,28,26,30,29,33,32])).
% 4.73/4.96  cnf(705,plain,
% 4.73/4.96     (P4(f9(a1,a1),a1,f9(a1,a1))),
% 4.73/4.96     inference(scs_inference,[],[46,600,560,663,671,329,641,361,606,532,484,153,215,14,13,21,28,26,30,29,33,32,25])).
% 4.73/4.96  cnf(707,plain,
% 4.73/4.96     (~P2(f10(a4),f9(a1,a1),f10(a4))),
% 4.73/4.96     inference(scs_inference,[],[46,600,572,560,663,671,329,641,361,606,532,54,484,153,404,215,14,13,21,28,26,30,29,33,32,25,31])).
% 4.73/4.96  cnf(709,plain,
% 4.73/4.96     (P2(a4,f10(a4),f10(a4))),
% 4.73/4.96     inference(scs_inference,[],[46,600,572,560,663,671,329,403,641,361,606,532,54,484,153,404,215,14,13,21,28,26,30,29,33,32,25,31,17])).
% 4.73/4.96  cnf(721,plain,
% 4.73/4.96     (P4(a1,f3(a7,a7),f3(a7,a7))),
% 4.73/4.96     inference(scs_inference,[],[35,653,667,27,22])).
% 4.73/4.96  cnf(723,plain,
% 4.73/4.96     (~P4(a4,f6(a5),f6(a5))),
% 4.73/4.96     inference(scs_inference,[],[35,653,667,407,317,27,22,28])).
% 4.73/4.96  cnf(725,plain,
% 4.73/4.96     (P2(a4,f9(a8,a8),f9(a8,a8))),
% 4.73/4.96     inference(scs_inference,[],[35,653,526,667,407,317,27,22,28,26])).
% 4.73/4.96  cnf(727,plain,
% 4.73/4.96     (~P4(f9(a1,a1),f9(a1,a1),f6(a4))),
% 4.73/4.96     inference(scs_inference,[],[35,38,44,653,526,667,661,407,317,27,22,28,26,33])).
% 4.73/4.96  cnf(729,plain,
% 4.73/4.96     (~P4(f6(a4),f3(a1,a1),f3(a1,a1))),
% 4.73/4.96     inference(scs_inference,[],[35,38,44,653,526,699,667,661,407,317,27,22,28,26,33,25])).
% 4.73/4.96  cnf(731,plain,
% 4.73/4.96     (~P2(a4,f10(a4),f3(f9(a1,a1),f9(a1,a1)))),
% 4.73/4.96     inference(scs_inference,[],[35,38,44,653,526,643,699,667,709,661,407,317,266,27,22,28,26,33,25,30])).
% 4.73/4.96  cnf(733,plain,
% 4.73/4.96     (~P2(f3(f9(a1,a1),f9(a1,a1)),a1,a4)),
% 4.73/4.96     inference(scs_inference,[],[35,38,44,653,526,643,699,667,709,661,423,407,421,317,266,27,22,28,26,33,25,30,32])).
% 4.73/4.96  cnf(735,plain,
% 4.73/4.96     (P4(f3(a1,a1),a1,f3(f3(a1,a1),f3(a1,a1)))),
% 4.73/4.96     inference(scs_inference,[],[35,38,44,46,445,653,526,643,699,667,709,661,423,407,421,76,317,266,27,22,28,26,33,25,30,32,29])).
% 4.73/4.96  cnf(737,plain,
% 4.73/4.96     (~P2(a4,f10(f6(a4)),a1)),
% 4.73/4.96     inference(scs_inference,[],[35,38,44,46,445,653,526,643,699,667,709,631,661,620,423,407,421,76,317,266,27,22,28,26,33,25,30,32,29,31])).
% 4.73/4.96  cnf(749,plain,
% 4.73/4.96     (P4(f6(a1),f9(a8,a8),f9(a8,a8))),
% 4.73/4.96     inference(scs_inference,[],[35,40,683,540,405,20,21,27,28])).
% 4.73/4.96  cnf(751,plain,
% 4.73/4.96     (~P2(a4,f3(a1,a1),f6(a4))),
% 4.73/4.96     inference(scs_inference,[],[35,40,683,703,540,405,20,21,27,28,26])).
% 4.73/4.96  cnf(753,plain,
% 4.73/4.96     (P4(f9(a8,a8),a1,f9(a8,a8))),
% 4.73/4.96     inference(scs_inference,[],[35,40,683,703,540,405,20,21,27,28,26,25])).
% 4.73/4.96  cnf(759,plain,
% 4.73/4.96     (~P4(f9(a1,a1),f6(a1),f10(a4))),
% 4.73/4.96     inference(scs_inference,[],[35,40,683,703,705,540,637,733,395,387,207,405,20,21,27,28,26,25,31,30,29])).
% 4.73/4.96  cnf(780,plain,
% 4.73/4.96     (~P4(a4,f6(a1),a1)),
% 4.73/4.96     inference(scs_inference,[],[759,633,536,268,25,28])).
% 4.73/4.96  cnf(782,plain,
% 4.73/4.96     (P2(a1,f10(a4),a1)),
% 4.73/4.96     inference(scs_inference,[],[759,633,488,536,268,25,28,26])).
% 4.73/4.96  cnf(784,plain,
% 4.73/4.96     (~P2(f3(f9(a1,a1),f9(a1,a1)),a4,f6(a4))),
% 4.73/4.96     inference(scs_inference,[],[727,759,633,488,536,357,153,268,25,28,26,32])).
% 4.73/4.96  cnf(788,plain,
% 4.73/4.96     (P2(a4,a1,f9(a1,a1))),
% 4.73/4.96     inference(scs_inference,[],[36,44,727,759,633,488,447,705,620,536,357,153,268,264,25,28,26,32,31,33])).
% 4.73/4.96  cnf(792,plain,
% 4.73/4.96     (P4(a8,f6(a1),a8)),
% 4.73/4.96     inference(scs_inference,[],[36,44,727,639,759,633,693,602,488,447,705,620,536,357,153,268,264,215,25,28,26,32,31,33,30,29])).
% 4.73/4.96  cnf(794,plain,
% 4.73/4.96     (P4(a1,f9(a2,a2),f9(a2,a2))),
% 4.73/4.96     inference(scs_inference,[],[36,44,727,639,759,633,693,602,488,447,705,80,620,536,357,153,268,264,215,25,28,26,32,31,33,30,29,16])).
% 4.73/4.96  cnf(796,plain,
% 4.73/4.96     (P4(f6(f6(a1)),f6(a1),a1)),
% 4.73/4.96     inference(scs_inference,[],[36,42,44,727,639,759,633,693,602,488,447,705,80,620,536,357,153,268,264,215,25,28,26,32,31,33,30,29,16,18])).
% 4.73/4.96  cnf(807,plain,
% 4.73/4.96     (P4(f3(a7,a7),a1,f3(a7,a7))),
% 4.73/4.96     inference(scs_inference,[],[721,25])).
% 4.73/4.96  cnf(809,plain,
% 4.73/4.96     (P4(a1,f3(a1,a1),f3(f3(a1,a1),f3(a1,a1)))),
% 4.73/4.96     inference(scs_inference,[],[46,721,735,25,28])).
% 4.73/4.96  cnf(811,plain,
% 4.73/4.96     (~P2(f9(a1,a1),f10(a4),f10(a4))),
% 4.73/4.96     inference(scs_inference,[],[46,721,707,735,25,28,26])).
% 4.73/4.96  cnf(813,plain,
% 4.73/4.96     (~P2(a4,a1,f10(a4))),
% 4.73/4.96     inference(scs_inference,[],[46,44,721,707,735,788,574,290,25,28,26,32])).
% 4.73/4.96  cnf(815,plain,
% 4.73/4.96     (~P2(f3(a1,a1),a1,f6(a4))),
% 4.73/4.96     inference(scs_inference,[],[46,44,721,707,735,784,788,574,532,290,215,25,28,26,32,31])).
% 4.73/4.96  cnf(817,plain,
% 4.73/4.96     (~P4(a8,f6(a4),a8)),
% 4.73/4.96     inference(scs_inference,[],[46,44,721,707,735,784,788,574,538,532,606,290,215,25,28,26,32,31,29])).
% 4.73/4.96  cnf(819,plain,
% 4.73/4.96     (~P2(a4,f10(a4),f9(a1,a1))),
% 4.73/4.96     inference(scs_inference,[],[46,44,721,707,735,784,788,574,538,709,532,606,404,290,215,25,28,26,32,31,29,30])).
% 4.73/4.96  cnf(821,plain,
% 4.73/4.96     (P2(a4,f6(a7),f6(a7))),
% 4.73/4.96     inference(scs_inference,[],[46,44,721,707,735,784,788,574,538,163,709,532,606,404,290,215,25,28,26,32,31,29,30,17])).
% 4.73/4.96  cnf(837,plain,
% 4.73/4.96     (~P4(f6(a1),a4,f9(a1,a1))),
% 4.73/4.96     inference(scs_inference,[],[635,794,184,35,13,14,27,25])).
% 4.73/4.97  cnf(839,plain,
% 4.73/4.97     (~P4(f6(a4),a1,a1)),
% 4.73/4.97     inference(scs_inference,[],[46,729,635,794,184,35,13,14,27,25,28])).
% 4.73/4.97  cnf(841,plain,
% 4.73/4.97     (P2(f3(a1,a1),f10(a4),f3(a1,a1))),
% 4.73/4.97     inference(scs_inference,[],[46,729,635,782,794,184,35,13,14,27,25,28,33])).
% 4.73/4.97  cnf(843,plain,
% 4.73/4.97     (P2(f6(a7),a4,f6(a7))),
% 4.73/4.97     inference(scs_inference,[],[46,729,635,821,782,794,184,35,13,14,27,25,28,33,26])).
% 4.73/4.97  cnf(849,plain,
% 4.73/4.97     (~P2(a1,f9(a1,a1),a4)),
% 4.73/4.97     inference(scs_inference,[],[38,46,44,729,635,796,821,780,782,794,733,184,395,484,35,13,14,27,25,28,33,26,32,29,31])).
% 4.73/4.97  cnf(855,plain,
% 4.73/4.97     (~P4(f6(a4),f6(a7),f6(a7))),
% 4.73/4.97     inference(scs_inference,[],[38,46,44,729,635,815,796,821,780,782,794,733,184,395,484,532,35,13,14,27,25,28,33,26,32,29,31,30,591,192])).
% 4.73/4.97  cnf(861,plain,
% 4.73/4.97     (P4(f9(a8,a8),f6(a1),f9(a8,a8))),
% 4.73/4.97     inference(scs_inference,[],[749,25])).
% 4.73/4.97  cnf(865,plain,
% 4.73/4.97     (P4(f3(a8,a8),f3(f6(a1),f6(a1)),f3(a8,a8))),
% 4.73/4.97     inference(scs_inference,[],[492,731,749,709,419,782,264,25,33,28])).
% 4.73/4.97  cnf(867,plain,
% 4.73/4.97     (P2(f9(a1,a1),a1,f9(a1,a1))),
% 4.73/4.97     inference(scs_inference,[],[54,44,492,731,749,788,709,419,782,264,25,33,28,31])).
% 4.73/4.97  cnf(869,plain,
% 4.73/4.97     (~P2(f10(a4),a4,f3(f9(a1,a1),f9(a1,a1)))),
% 4.73/4.97     inference(scs_inference,[],[54,44,492,731,749,788,709,419,782,264,25,33,28,31,26])).
% 4.73/4.97  cnf(873,plain,
% 4.73/4.97     (~P4(f9(a1,a1),f6(a4),f6(a1))),
% 4.73/4.97     inference(scs_inference,[],[54,44,492,731,749,792,837,817,788,705,709,419,782,260,268,264,25,33,28,31,26,32,29])).
% 4.73/4.97  cnf(875,plain,
% 4.73/4.97     (P2(f10(a4),f9(a1,a1),f9(a1,a1))),
% 4.73/4.97     inference(scs_inference,[],[54,44,492,731,749,792,837,817,788,488,705,709,419,782,260,268,264,25,33,28,31,26,32,29,30])).
% 4.73/4.97  cnf(877,plain,
% 4.73/4.97     (P4(f9(a5,a5),f9(a5,a5),f3(f9(a5,a5),f9(a5,a5)))),
% 4.73/4.97     inference(scs_inference,[],[54,44,492,731,749,792,837,817,203,788,488,705,709,419,782,260,268,264,25,33,28,31,26,32,29,30,20])).
% 4.73/4.97  cnf(881,plain,
% 4.73/4.97     (P3(f3(f3(a1,a1),f3(a1,a1)),f3(a1,a1))),
% 4.73/4.97     inference(scs_inference,[],[54,44,492,731,749,792,809,837,817,570,203,788,488,705,709,419,782,437,260,268,264,25,33,28,31,26,32,29,30,20,21,27])).
% 4.73/4.97  cnf(893,plain,
% 4.73/4.97     (P2(f3(a5,a5),f3(a5,a5),f9(f3(a5,a5),f3(a5,a5)))),
% 4.73/4.97     inference(scs_inference,[],[205,20,21])).
% 4.73/4.97  cnf(897,plain,
% 4.73/4.97     (~P4(f9(a1,a1),f9(a1,a1),a4)),
% 4.73/4.97     inference(scs_inference,[],[44,873,205,431,38,20,21,25,33])).
% 4.73/4.97  cnf(901,plain,
% 4.73/4.97     (P2(f9(a1,a1),f10(a4),f9(a1,a1))),
% 4.73/4.97     inference(scs_inference,[],[40,56,44,873,205,421,431,782,38,20,21,25,33,28,31])).
% 4.73/4.97  cnf(903,plain,
% 4.73/4.97     (P2(f10(a4),f3(a1,a1),f3(a1,a1))),
% 4.73/4.97     inference(scs_inference,[],[40,56,44,841,873,205,421,431,782,38,20,21,25,33,28,31,26])).
% 4.73/4.97  cnf(905,plain,
% 4.73/4.97     (~P4(f6(a1),f3(f3(a1,a1),f3(a1,a1)),a4)),
% 4.73/4.97     inference(scs_inference,[],[40,56,44,841,873,809,205,111,421,431,782,38,20,21,25,33,28,31,26,29])).
% 4.73/4.97  cnf(907,plain,
% 4.73/4.97     (~P2(f9(a1,a1),a1,a4)),
% 4.73/4.97     inference(scs_inference,[],[40,56,44,841,873,849,809,205,111,421,431,782,38,20,21,25,33,28,31,26,29,30])).
% 4.73/4.97  cnf(909,plain,
% 4.73/4.97     (P4(a1,f10(a4),f10(a4))),
% 4.73/4.97     inference(scs_inference,[],[40,56,44,841,873,849,809,205,403,111,421,431,782,38,20,21,25,33,28,31,26,29,30,16])).
% 4.73/4.97  cnf(911,plain,
% 4.73/4.97     (P4(f6(f9(a1,a1)),f9(a1,a1),a1)),
% 4.73/4.97     inference(scs_inference,[],[40,56,48,44,841,873,849,809,205,403,111,421,431,782,38,20,21,25,33,28,31,26,29,30,16,18])).
% 4.73/4.97  cnf(919,plain,
% 4.73/4.97     (P3(f3(a1,a1),a1)),
% 4.73/4.97     inference(scs_inference,[],[46,429,62,27])).
% 4.73/4.97  cnf(923,plain,
% 4.73/4.97     (~P2(f9(a1,a1),a1,f10(a4))),
% 4.73/4.97     inference(scs_inference,[],[46,865,811,867,429,782,62,27,25,31])).
% 4.73/4.97  cnf(925,plain,
% 4.73/4.97     (P2(f3(a5,a5),a5,f3(f9(a5,a5),f9(a5,a5)))),
% 4.73/4.97     inference(scs_inference,[],[46,865,877,811,867,429,207,209,782,62,27,25,31,33])).
% 4.73/4.97  cnf(927,plain,
% 4.73/4.97     (~P2(f3(a1,a1),a1,a4)),
% 4.73/4.97     inference(scs_inference,[],[46,44,865,877,897,811,867,429,207,209,782,62,27,25,31,33,32])).
% 4.73/4.97  cnf(929,plain,
% 4.73/4.97     (P4(f9(a8,a8),f3(a1,a1),f9(a8,a8))),
% 4.73/4.97     inference(scs_inference,[],[46,44,753,865,877,897,811,867,429,207,209,782,62,27,25,31,33,32,28])).
% 4.73/4.97  cnf(933,plain,
% 4.73/4.97     (P4(f9(a8,a8),f9(a1,a1),f9(a8,a8))),
% 4.73/4.97     inference(scs_inference,[],[46,44,753,865,877,897,813,811,867,429,375,207,209,782,62,27,25,31,33,32,28,26,29])).
% 4.73/4.97  cnf(939,plain,
% 4.73/4.97     (P2(a4,f3(a7,a7),f3(a7,a7))),
% 4.73/4.97     inference(scs_inference,[],[46,44,753,865,877,897,751,813,811,867,841,331,429,262,375,207,209,377,782,62,27,25,31,33,32,28,26,29,30,15,17])).
% 4.73/4.97  cnf(941,plain,
% 4.73/4.97     (P3(f6(a7),f6(a7))),
% 4.73/4.97     inference(scs_inference,[],[46,44,753,865,877,897,751,813,811,867,841,331,429,163,262,375,207,209,377,782,62,27,25,31,33,32,28,26,29,30,15,17,12])).
% 4.73/4.97  cnf(945,plain,
% 4.73/4.97     (~P4(f6(a7),f6(a4),f6(a7))),
% 4.73/4.97     inference(scs_inference,[],[855,25])).
% 4.73/4.97  cnf(947,plain,
% 4.73/4.97     (P4(f9(a1,a1),f10(a4),f10(a4))),
% 4.73/4.97     inference(scs_inference,[],[855,909,429,25,28])).
% 4.73/4.97  cnf(949,plain,
% 4.73/4.97     (~P2(a1,f9(a1,a1),f10(a4))),
% 4.73/4.97     inference(scs_inference,[],[44,855,923,909,429,25,28,31])).
% 4.73/4.97  cnf(951,plain,
% 4.73/4.97     (P4(f9(a2,a2),f9(a2,a2),f3(f9(a5,a5),f9(a5,a5)))),
% 4.73/4.97     inference(scs_inference,[],[44,925,855,923,909,451,520,429,25,28,31,32])).
% 4.73/4.97  cnf(955,plain,
% 4.73/4.97     (~P4(a1,f9(a1,a1),a4)),
% 4.73/4.97     inference(scs_inference,[],[46,44,939,925,855,923,909,321,451,520,429,25,28,31,32,26,29])).
% 4.73/4.97  cnf(957,plain,
% 4.73/4.97     (~P2(f10(a4),a1,f10(f6(a4)))),
% 4.73/4.97     inference(scs_inference,[],[46,44,939,925,855,923,909,737,321,451,520,488,429,709,25,28,31,32,26,29,30])).
% 4.73/4.97  cnf(981,plain,
% 4.73/4.97     (P4(a1,f6(a7),f6(a7))),
% 4.73/4.97     inference(scs_inference,[],[62,919,947,941,594,409,15,13,14,27,22])).
% 4.73/4.97  cnf(983,plain,
% 4.73/4.97     (P4(f9(a1,a1),f9(a8,a8),f9(a8,a8))),
% 4.73/4.97     inference(scs_inference,[],[62,933,919,947,941,594,409,15,13,14,27,22,25])).
% 4.73/4.97  cnf(985,plain,
% 4.73/4.97     (P4(f9(a8,a8),f3(f9(a1,a1),f9(a1,a1)),f9(a8,a8))),
% 4.73/4.97     inference(scs_inference,[],[62,933,919,947,941,594,409,357,15,13,14,27,22,25,28])).
% 4.73/4.97  cnf(987,plain,
% 4.73/4.97     (P2(f3(a5,a5),f3(a2,a2),f9(f3(a5,a5),f3(a5,a5)))),
% 4.73/4.97     inference(scs_inference,[],[62,933,893,919,947,941,594,367,409,325,357,15,13,14,27,22,25,28,31])).
% 4.73/4.97  cnf(989,plain,
% 4.73/4.97     (~P4(f9(f9(a1,a1),f9(a1,a1)),f9(a1,a1),f10(a4))),
% 4.73/4.97     inference(scs_inference,[],[62,933,893,875,919,947,941,355,594,367,707,409,325,357,15,13,14,27,22,25,28,31,33])).
% 4.73/4.97  cnf(991,plain,
% 4.73/4.97     (~P2(f3(a1,a1),f10(a4),a4)),
% 4.73/4.97     inference(scs_inference,[],[62,46,933,893,875,919,947,941,355,594,367,707,409,325,357,782,9,15,13,14,27,22,25,28,31,33,32])).
% 4.73/4.97  cnf(1000,plain,
% 4.73/4.97     (P2(a4,f6(a8),f6(a8))),
% 4.73/4.97     inference(scs_inference,[],[540,17])).
% 4.73/4.97  cnf(1004,plain,
% 4.73/4.97     (~P4(f9(a1,a1),f9(f9(a1,a1),f9(a1,a1)),f10(a4))),
% 4.73/4.97     inference(scs_inference,[],[989,639,919,540,536,17,27,25])).
% 4.73/4.97  cnf(1008,plain,
% 4.73/4.97     (P4(f3(a1,a1),f6(a7),f6(a7))),
% 4.73/4.97     inference(scs_inference,[],[44,46,989,911,981,457,639,919,867,540,536,17,27,25,32,29])).
% 4.73/4.97  cnf(1010,plain,
% 4.73/4.97     (~P4(f3(a1,a1),f9(a1,a1),a4)),
% 4.73/4.97     inference(scs_inference,[],[44,46,989,911,981,955,457,639,919,867,540,600,536,17,27,25,32,29,28])).
% 4.73/4.97  cnf(1012,plain,
% 4.73/4.97     (~P2(f10(a4),a4,f9(a1,a1))),
% 4.73/4.97     inference(scs_inference,[],[44,46,989,911,869,981,955,457,639,919,867,947,540,600,536,153,357,17,27,25,32,29,28,33])).
% 4.73/4.97  cnf(1014,plain,
% 4.73/4.97     (~P2(f9(a1,a1),f10(a4),f6(a4))),
% 4.73/4.97     inference(scs_inference,[],[44,46,989,911,869,981,955,457,639,919,867,661,947,540,600,536,153,357,782,17,27,25,32,29,28,33,30])).
% 4.73/4.97  cnf(1018,plain,
% 4.73/4.97     (P4(a1,f6(a8),f6(a8))),
% 4.73/4.97     inference(scs_inference,[],[44,46,987,989,911,869,981,955,457,639,919,867,661,947,540,600,536,153,357,782,17,27,25,32,29,28,33,30,26,16])).
% 4.73/4.97  cnf(1052,plain,
% 4.73/4.97     (P4(f3(a7,a7),f3(f9(a1,a1),f9(a1,a1)),f3(a7,a7))),
% 4.73/4.97     inference(scs_inference,[],[46,985,807,819,901,875,180,421,20,21,25,28,31,29])).
% 4.73/4.97  cnf(1054,plain,
% 4.73/4.97     (~P2(f3(f9(a1,a1),f9(a1,a1)),a1,f10(a4))),
% 4.73/4.97     inference(scs_inference,[],[44,46,985,807,819,901,875,180,947,449,421,20,21,25,28,31,29,33])).
% 4.73/4.97  cnf(1056,plain,
% 4.73/4.97     (~P2(f9(a1,a1),f10(a4),a4)),
% 4.73/4.97     inference(scs_inference,[],[44,46,985,807,819,1012,901,875,180,947,449,421,20,21,25,28,31,29,33,30])).
% 4.73/4.97  cnf(1072,plain,
% 4.73/4.97     (~P4(a4,f3(a1,a1),f3(a1,a1))),
% 4.73/4.97     inference(scs_inference,[],[1010,903,337,729,1008,909,25,32,28])).
% 4.73/4.97  cnf(1074,plain,
% 4.73/4.97     (P4(f3(f6(a1),f6(a1)),f9(a8,a8),f9(a8,a8))),
% 4.73/4.97     inference(scs_inference,[],[1010,903,337,749,729,1008,909,419,25,32,28,29])).
% 4.73/4.97  cnf(1076,plain,
% 4.73/4.97     (~P2(f9(a1,a1),f9(a1,a1),a4)),
% 4.73/4.97     inference(scs_inference,[],[907,1010,903,337,749,729,1008,788,909,419,153,25,32,28,29,31])).
% 4.73/4.97  cnf(1078,plain,
% 4.73/4.97     (P2(f3(a5,a5),a2,f3(f9(a5,a5),f9(a5,a5)))),
% 4.73/4.97     inference(scs_inference,[],[951,907,1010,903,337,749,729,1008,451,788,909,86,419,153,25,32,28,29,31,33])).
% 4.73/4.97  cnf(1080,plain,
% 4.73/4.97     (~P2(f10(a4),a1,f6(a4))),
% 4.73/4.97     inference(scs_inference,[],[951,907,1010,903,337,749,729,433,1008,451,788,909,86,419,709,488,153,25,32,28,29,31,33,30])).
% 4.73/4.97  cnf(1102,plain,
% 4.73/4.97     (P4(a1,f9(a7,a7),f9(a7,a7))),
% 4.73/4.97     inference(scs_inference,[],[1018,919,329,437,35,15,12,27,22])).
% 4.73/4.97  cnf(1108,plain,
% 4.73/4.97     (P4(f9(a8,a8),f3(f3(a1,a1),f3(a1,a1)),f9(a8,a8))),
% 4.73/4.97     inference(scs_inference,[],[46,929,522,1018,445,919,329,437,35,15,12,27,22,25,29,28])).
% 4.73/4.97  cnf(1112,plain,
% 4.73/4.97     (P2(f10(a4),a1,f9(a1,a1))),
% 4.73/4.97     inference(scs_inference,[],[46,929,1054,522,1018,445,919,395,705,329,909,488,437,35,44,15,12,27,22,25,29,28,31,33])).
% 4.73/4.97  cnf(1114,plain,
% 4.73/4.97     (~P2(f10(a4),f9(a1,a1),f6(a4))),
% 4.73/4.97     inference(scs_inference,[],[46,929,1014,1054,522,1018,445,919,395,705,329,909,488,437,35,44,15,12,27,22,25,29,28,31,33,26])).
% 4.73/4.97  cnf(1134,plain,
% 4.73/4.97     (~P4(f9(a1,a1),f10(a4),f9(f9(a1,a1),f9(a1,a1)))),
% 4.73/4.97     inference(scs_inference,[],[58,68,64,62,1004,905,735,600,205,947,357,13,14,27,25,29,28])).
% 4.73/4.97  cnf(1136,plain,
% 4.73/4.97     (~P4(f9(f9(a1,a1),f9(a1,a1)),f9(a1,a1),f6(a4))),
% 4.73/4.97     inference(scs_inference,[],[58,68,64,62,1004,905,1114,735,355,600,205,875,947,357,13,14,27,25,29,28,33])).
% 4.73/4.97  cnf(1144,plain,
% 4.73/4.97     (P4(f3(a1,a1),a1,a1)),
% 4.73/4.97     inference(scs_inference,[],[58,68,64,62,1004,905,1080,1114,1078,1112,735,355,1008,600,205,875,947,357,215,13,14,27,25,29,28,33,26,30,476,192])).
% 4.73/4.97  cnf(1146,plain,
% 4.73/4.97     (P4(a1,f3(a2,a2),f3(a2,a2))),
% 4.73/4.97     inference(scs_inference,[],[58,68,64,62,1004,905,1080,1114,1078,1112,735,355,1008,600,205,875,82,947,357,215,13,14,27,25,29,28,33,26,30,476,192,16])).
% 4.73/4.97  cnf(1148,plain,
% 4.73/4.97     (P4(f6(f9(a8,a8)),f9(a8,a8),a1)),
% 4.73/4.97     inference(scs_inference,[],[58,68,64,62,1004,905,1080,1114,1078,1112,735,355,1008,600,184,205,875,82,947,357,215,13,14,27,25,29,28,33,26,30,476,192,16,18])).
% 4.73/4.97  cnf(1152,plain,
% 4.73/4.97     (~P2(f3(f3(a1,a1),f3(a1,a1)),f10(a4),a4)),
% 4.73/4.97     inference(scs_inference,[],[58,68,64,62,1004,905,1080,1114,1078,1112,735,355,1008,841,600,184,205,875,82,947,357,782,215,13,14,27,25,29,28,33,26,30,476,192,16,18,11,32])).
% 4.73/4.97  cnf(1164,plain,
% 4.73/4.97     (~P4(f9(a8,a8),f6(a4),f9(a8,a8))),
% 4.73/4.97     inference(scs_inference,[],[1052,665,1148,439,606,264,25,32,29])).
% 4.73/4.97  cnf(1166,plain,
% 4.73/4.97     (P4(f3(a1,a1),f3(a1,a1),f3(a1,a1))),
% 4.73/4.97     inference(scs_inference,[],[68,1052,665,1144,1148,439,606,264,25,32,29,28])).
% 4.73/4.97  cnf(1168,plain,
% 4.73/4.97     (~P4(f3(a1,a1),f3(a1,a1),a4)),
% 4.73/4.97     inference(scs_inference,[],[68,1052,665,1144,1148,1152,439,445,841,606,264,25,32,29,28,33])).
% 4.73/4.97  cnf(1174,plain,
% 4.73/4.97     (P4(f9(a2,a2),f9(a2,a2),f3(f9(a2,a2),f9(a2,a2)))),
% 4.73/4.97     inference(scs_inference,[],[68,1076,1052,991,665,1144,1148,1152,439,445,867,355,841,606,80,264,25,32,29,28,33,30,26,20])).
% 4.73/4.97  cnf(1189,plain,
% 4.73/4.97     (P4(f6(a4),f6(a4),f3(f6(a4),f6(a4)))),
% 4.73/4.97     inference(scs_inference,[],[270,20])).
% 4.73/4.97  cnf(1197,plain,
% 4.73/4.97     (~P4(f3(a1,a1),f6(f3(a1,a1)),a4)),
% 4.73/4.97     inference(scs_inference,[],[76,1102,1134,1072,671,1144,270,20,21,25,28,29])).
% 4.73/4.97  cnf(1207,plain,
% 4.73/4.97     (P2(a4,f6(a5),f6(a5))),
% 4.73/4.97     inference(scs_inference,[],[54,76,1102,1134,1072,957,843,671,1144,1114,369,1000,1112,157,202,409,270,709,404,20,21,25,28,29,31,33,30,26,17])).
% 4.73/4.97  cnf(1219,plain,
% 4.73/4.97     (~P4(f6(f9(a8,a8)),f9(a8,a8),a4)),
% 4.73/4.97     inference(scs_inference,[],[66,1108,861,723,1207,1148,264,25,32,29])).
% 4.73/4.97  cnf(1221,plain,
% 4.73/4.97     (~P4(f3(a1,a1),f3(a1,a1),f6(a4))),
% 4.73/4.97     inference(scs_inference,[],[66,1166,1108,861,723,1207,699,1148,264,25,32,29,28])).
% 4.73/4.97  cnf(1225,plain,
% 4.73/4.97     (P2(f3(a5,a5),a5,f3(f9(a2,a2),f9(a2,a2)))),
% 4.73/4.97     inference(scs_inference,[],[66,1166,1108,1174,861,723,1207,699,927,1148,903,451,520,532,264,25,32,29,28,31,33])).
% 4.73/4.97  cnf(1241,plain,
% 4.73/4.97     (P2(a1,f9(a1,a1),f9(a1,a1))),
% 4.73/4.97     inference(scs_inference,[],[78,1136,494,867,84,44,25,32,30])).
% 4.73/4.97  cnf(1245,plain,
% 4.73/4.97     (~P4(f3(f6(a4),f6(a4)),a4,a1)),
% 4.73/4.97     inference(scs_inference,[],[78,76,1136,1221,1189,839,494,809,867,84,268,44,25,32,30,29,28])).
% 4.73/4.97  cnf(1251,plain,
% 4.73/4.97     (P4(a1,f6(a5),f6(a5))),
% 4.73/4.97     inference(scs_inference,[],[78,76,1136,1221,1225,1189,839,494,809,867,84,409,268,44,25,32,30,29,28,26,74,16])).
% 4.73/4.97  cnf(1253,plain,
% 4.73/4.97     (P4(f6(f9(a5,a5)),f9(a5,a5),a1)),
% 4.73/4.97     inference(scs_inference,[],[78,76,1136,1221,1225,1189,839,494,809,867,203,84,409,268,44,25,32,30,29,28,26,74,16,18])).
% 4.73/4.97  cnf(1271,plain,
% 4.73/4.97     (P4(f9(a7,a7),f9(a7,a7),f3(f9(a7,a7),f9(a7,a7)))),
% 4.73/4.97     inference(scs_inference,[],[329,331,13,14,20])).
% 4.73/4.97  cnf(1273,plain,
% 4.73/4.97     (P4(f3(a2,a2),a1,f3(a2,a2))),
% 4.73/4.97     inference(scs_inference,[],[1146,329,331,13,14,20,25])).
% 4.73/4.97  cnf(1279,plain,
% 4.73/4.97     (P4(f6(f9(a1,a1)),f9(a1,a1),f9(a1,a1))),
% 4.73/4.97     inference(scs_inference,[],[64,1146,1253,911,819,901,788,389,600,329,331,13,14,20,25,30,29,28])).
% 4.73/4.97  cnf(1295,plain,
% 4.73/4.97     (P4(f10(a4),f10(a4),f3(f10(a4),f10(a4)))),
% 4.73/4.97     inference(scs_inference,[],[403,20])).
% 4.73/4.97  cnf(1303,plain,
% 4.73/4.97     (~P4(f6(a4),f9(a1,a1),f9(a1,a1))),
% 4.73/4.97     inference(scs_inference,[],[983,1164,737,725,403,782,290,36,20,32,25,30,28])).
% 4.73/4.97  cnf(1305,plain,
% 4.73/4.97     (P2(f3(f9(a1,a1),f9(a1,a1)),f9(a1,a1),f9(a1,a1))),
% 4.73/4.97     inference(scs_inference,[],[983,1164,737,1241,725,395,403,782,290,36,20,32,25,30,28,31])).
% 4.73/4.97  cnf(1333,plain,
% 4.73/4.97     (~P4(f6(a1),f6(a1),f6(a4))),
% 4.73/4.97     inference(scs_inference,[],[1279,1251,813,792,817,184,709,488,35,21,27,25,30,28])).
% 4.73/4.97  cnf(1337,plain,
% 4.73/4.97     (P2(f3(f10(a4),f10(a4)),f3(a1,a1),f3(a1,a1))),
% 4.73/4.97     inference(scs_inference,[],[64,1279,1295,1251,1166,813,792,701,817,911,903,184,709,488,35,21,27,25,30,28,29,33])).
% 4.73/4.97  cnf(1359,plain,
% 4.73/4.97     (P2(f10(a4),f9(a1,a1),f9(f9(a1,a1),f9(a1,a1)))),
% 4.73/4.97     inference(scs_inference,[],[1303,945,821,881,1166,1241,919,809,1112,355,290,27,22,25,32,30])).
% 4.73/4.97  cnf(1369,plain,
% 4.73/4.97     (P2(f3(a1,a1),f3(f10(a4),f10(a4)),f3(a1,a1))),
% 4.73/4.97     inference(scs_inference,[],[76,1056,1271,1337,1303,1168,945,1245,1305,821,881,333,1166,1241,919,809,1112,355,327,901,268,264,290,27,22,25,32,30,28,31,29,33,26])).
% 4.73/4.97  cnf(1373,plain,
% 4.73/4.97     (P4(a1,f6(a4),f6(a4))),
% 4.73/4.97     inference(scs_inference,[],[80,76,1056,1271,1337,1303,1168,945,1245,1305,821,881,333,1166,1241,919,809,1112,355,327,901,270,268,264,290,27,22,25,32,30,28,31,29,33,26,18,16])).
% 4.73/4.97  cnf(1383,plain,
% 4.73/4.97     (P2(f9(a1,a1),f3(f9(a1,a1),f9(a1,a1)),f9(a1,a1))),
% 4.73/4.97     inference(scs_inference,[],[82,68,1074,1369,1072,867,395,20,25,32,30])).
% 4.73/4.97  cnf(1391,plain,
% 4.73/4.97     (P2(f3(f10(a4),f10(a4)),a1,f9(a1,a1))),
% 4.73/4.97     inference(scs_inference,[],[82,68,64,949,1074,1369,1273,1359,1072,453,1295,796,385,375,1112,867,395,782,20,25,32,30,28,31,29,33])).
% 4.73/4.97  cnf(1415,plain,
% 4.73/4.97     (P4(f3(a1,a1),f6(a4),f6(a4))),
% 4.73/4.97     inference(scs_inference,[],[1383,1197,1373,1012,1144,875,540,184,13,14,20,25,30,28])).
% 4.73/4.97  cnf(1463,plain,
% 4.73/4.97     (~P2(a2,a7,f9(a2,a7))),
% 4.73/4.97     inference(scs_inference,[],[84,1333,1219,1415,1391,463,1369,562,161,532,2,21,25,30,28,31])).
% 4.73/4.97  cnf(1490,plain,
% 4.73/4.97     ($false),
% 4.73/4.97     inference(scs_inference,[],[1463,5,3,21]),
% 4.73/4.97     ['proof']).
% 4.73/4.97  % SZS output end Proof
% 4.73/4.97  % Total time :4.290000s
%------------------------------------------------------------------------------