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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SWV488+2 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 16:47:28 EDT 2024

% Result   : Theorem 62.99s 63.04s
% Output   : CNFRefutation 62.99s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV488+2 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Thu Jun 20 18:30:09 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.53/0.57  start to proof:theBenchmark
% 62.91/63.02  %-------------------------------------------
% 62.91/63.02  % File        :CSE---1.7
% 62.91/63.02  % Problem     :theBenchmark
% 62.91/63.02  % Transform   :cnf
% 62.91/63.02  % Format      :tptp:raw
% 62.91/63.02  % Command     :java -jar mcs_scs.jar %d %s
% 62.91/63.02  
% 62.91/63.02  % Result      :Theorem 62.400000s
% 62.91/63.02  % Output      :CNFRefutation 62.400000s
% 62.91/63.02  %-------------------------------------------
% 62.99/63.03  %------------------------------------------------------------------------------
% 62.99/63.03  % File     : SWV488+2 : TPTP v8.2.0. Released v4.0.0.
% 62.99/63.03  % Domain   : Software Verification
% 62.99/63.03  % Problem  : Matrix has no zero on the diagonal
% 62.99/63.03  % Version  : Especial.
% 62.99/63.03  % English  :
% 62.99/63.03  
% 62.99/63.03  % Refs     : [KV09]  Kovacs (2009), Email to Geoff Sutcliffe
% 62.99/63.03  % Source   : [KV09] 
% 62.99/63.03  % Names    : getL2 [KV09]
% 62.99/63.03  
% 62.99/63.03  % Status   : Theorem
% 62.99/63.03  % Rating   : 0.11 v8.2.0, 0.08 v8.1.0, 0.11 v7.5.0, 0.16 v7.4.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.00 v6.2.0, 0.12 v6.1.0, 0.17 v6.0.0, 0.13 v5.5.0, 0.15 v5.4.0, 0.21 v5.3.0, 0.22 v5.2.0, 0.05 v5.0.0, 0.08 v4.1.0, 0.13 v4.0.0
% 62.99/63.03  % Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
% 62.99/63.03  %            Number of atoms       :   44 (  13 equ)
% 62.99/63.03  %            Maximal formula atoms :   17 (   3 avg)
% 62.99/63.03  %            Number of connectives :   34 (   3   ~;   2   |;  15   &)
% 62.99/63.03  %                                         (   3 <=>;  11  =>;   0  <=;   0 <~>)
% 62.99/63.03  %            Maximal formula depth :   11 (   5 avg)
% 62.99/63.03  %            Maximal term depth    :    3 (   1 avg)
% 62.99/63.03  %            Number of predicates  :    3 (   2 usr;   0 prp; 2-2 aty)
% 62.99/63.03  %            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
% 62.99/63.03  %            Number of variables   :   29 (  28   !;   1   ?)
% 62.99/63.03  % SPC      : FOF_THM_RFO_SEQ
% 62.99/63.03  
% 62.99/63.03  % Comments :
% 62.99/63.03  %------------------------------------------------------------------------------
% 62.99/63.03  fof(int_leq,axiom,
% 62.99/63.03      ! [I,J] :
% 62.99/63.03        ( int_leq(I,J)
% 62.99/63.03      <=> ( int_less(I,J)
% 62.99/63.03          | I = J ) ) ).
% 62.99/63.03  
% 62.99/63.03  fof(int_less_transitive,axiom,
% 62.99/63.03      ! [I,J,K] :
% 62.99/63.03        ( ( int_less(I,J)
% 62.99/63.03          & int_less(J,K) )
% 62.99/63.03       => int_less(I,K) ) ).
% 62.99/63.03  
% 62.99/63.03  fof(int_less_irreflexive,axiom,
% 62.99/63.03      ! [I,J] :
% 62.99/63.03        ( int_less(I,J)
% 62.99/63.03       => I != J ) ).
% 62.99/63.03  
% 62.99/63.03  fof(int_less_total,axiom,
% 62.99/63.03      ! [I,J] :
% 62.99/63.03        ( int_less(I,J)
% 62.99/63.03        | int_leq(J,I) ) ).
% 62.99/63.03  
% 62.99/63.03  fof(int_zero_one,axiom,
% 62.99/63.03      int_less(int_zero,int_one) ).
% 62.99/63.03  
% 62.99/63.03  fof(plus_commutative,axiom,
% 62.99/63.03      ! [I,J] : plus(I,J) = plus(J,I) ).
% 62.99/63.03  
% 62.99/63.03  fof(plus_zero,axiom,
% 62.99/63.03      ! [I] : plus(I,int_zero) = I ).
% 62.99/63.03  
% 62.99/63.03  fof(plus_and_order1,axiom,
% 62.99/63.03      ! [I1,J1,I2,J2] :
% 62.99/63.03        ( ( int_less(I1,J1)
% 62.99/63.03          & int_leq(I2,J2) )
% 62.99/63.03       => int_leq(plus(I1,I2),plus(J1,J2)) ) ).
% 62.99/63.03  
% 62.99/63.03  fof(plus_and_inverse,axiom,
% 62.99/63.03      ! [I,J] :
% 62.99/63.03        ( int_less(I,J)
% 62.99/63.03      <=> ? [K] :
% 62.99/63.03            ( plus(I,K) = J
% 62.99/63.03            & int_less(int_zero,K) ) ) ).
% 62.99/63.03  
% 62.99/63.03  fof(one_successor_of_zero,axiom,
% 62.99/63.03      ! [I] :
% 62.99/63.03        ( int_less(int_zero,I)
% 62.99/63.03      <=> int_leq(int_one,I) ) ).
% 62.99/63.03  
% 62.99/63.03  fof(real_constants,axiom,
% 62.99/63.03      real_zero != real_one ).
% 62.99/63.03  
% 62.99/63.03  fof(qil,hypothesis,
% 62.99/63.03      ! [I,J] :
% 62.99/63.03        ( ( int_leq(int_one,I)
% 62.99/63.03          & int_leq(I,n)
% 62.99/63.03          & int_leq(int_one,J)
% 62.99/63.03          & int_leq(J,n) )
% 62.99/63.03       => ( ! [C] :
% 62.99/63.03              ( ( int_less(int_zero,C)
% 62.99/63.03                & I = plus(J,C) )
% 62.99/63.03             => ! [K] :
% 62.99/63.03                  ( ( int_leq(int_one,K)
% 62.99/63.03                    & int_leq(K,J) )
% 62.99/63.03                 => a(plus(K,C),K) = lu(plus(K,C),K) ) )
% 62.99/63.03          & ! [K] :
% 62.99/63.03              ( ( int_leq(int_one,K)
% 62.99/63.04                & int_leq(K,J) )
% 62.99/63.04             => a(K,K) = real_one )
% 62.99/63.04          & ! [C] :
% 62.99/63.04              ( ( int_less(int_zero,C)
% 62.99/63.04                & J = plus(I,C) )
% 62.99/63.04             => ! [K] :
% 62.99/63.04                  ( ( int_leq(int_one,K)
% 62.99/63.04                    & int_leq(K,I) )
% 62.99/63.04                 => a(K,plus(K,C)) = real_zero ) ) ) ) ).
% 62.99/63.04  
% 62.99/63.04  fof(lti,conjecture,
% 62.99/63.04      ! [I,J] :
% 62.99/63.04        ( ( int_leq(int_one,I)
% 62.99/63.04          & int_leq(I,J)
% 62.99/63.04          & int_leq(J,n) )
% 62.99/63.04       => ( I = J
% 62.99/63.04         => a(I,J) != real_zero ) ) ).
% 62.99/63.04  
% 62.99/63.04  %------------------------------------------------------------------------------
% 62.99/63.04  %-------------------------------------------
% 62.99/63.04  % Proof found
% 62.99/63.04  % SZS status Theorem for theBenchmark
% 62.99/63.04  % SZS output start Proof
% 62.99/63.04  %ClaNum:42(EqnAxiom:17)
% 62.99/63.04  %VarNum:102(SingletonVarNum:42)
% 62.99/63.04  %MaxLitNum:6
% 62.99/63.04  %MaxfuncDepth:2
% 62.99/63.04  %SharedTerms:15
% 62.99/63.04  %goalClause: 18 19 20 21 22
% 62.99/63.04  %singleGoalClaCount:5
% 62.99/63.04  [18]E(a1,a2)
% 62.99/63.04  [20]P1(a6,a2)
% 62.99/63.04  [21]P1(a2,a1)
% 62.99/63.04  [22]P1(a1,a7)
% 62.99/63.04  [23]P3(a8,a6)
% 62.99/63.04  [26]~E(a11,a5)
% 62.99/63.04  [19]E(f3(a2,a1),a5)
% 62.99/63.04  [24]E(f10(x241,a8),x241)
% 62.99/63.04  [25]E(f10(x251,x252),f10(x252,x251))
% 62.99/63.04  [30]~P3(a8,x301)+P1(a6,x301)
% 62.99/63.04  [31]~P1(a6,x311)+P3(a8,x311)
% 62.99/63.04  [27]~E(x271,x272)+P1(x271,x272)
% 62.99/63.04  [28]~P3(x281,x282)+~E(x281,x282)
% 62.99/63.04  [29]P3(x292,x291)+P1(x291,x292)
% 62.99/63.04  [32]~P3(x321,x322)+P1(x321,x322)
% 62.99/63.04  [36]~P3(x361,x362)+P3(a8,f4(x361,x362))
% 62.99/63.04  [37]~P3(x371,x372)+E(f10(x371,f4(x371,x372)),x372)
% 62.99/63.04  [33]P3(x331,x332)+~P1(x331,x332)+E(x331,x332)
% 62.99/63.04  [35]~P3(x351,x353)+P3(x351,x352)+~P3(x353,x352)
% 62.99/63.04  [34]P3(x341,x342)+~P3(a8,x343)+~E(f10(x341,x343),x342)
% 62.99/63.04  [40]~P1(x402,x404)+~P3(x401,x403)+P1(f10(x401,x402),f10(x403,x404))
% 62.99/63.04  [38]~P1(x381,x382)+~P2(x383,x382)+~P1(a6,x381)+E(f3(x381,x381),a11)
% 62.99/63.04  [39]P2(x391,x392)+~P1(x392,a7)+~P1(x391,a7)+~P1(a6,x392)+~P1(a6,x391)
% 62.99/63.04  [41]~P1(x411,x414)+~P2(x414,x413)+~P1(a6,x411)+~P3(a8,x412)+~E(x413,f10(x414,x412))+E(f3(x411,f10(x411,x412)),a5)
% 62.99/63.04  [42]~P1(x421,x424)+~P2(x423,x424)+~P1(a6,x421)+~P3(a8,x422)+~E(x423,f10(x424,x422))+E(f9(f10(x421,x422),x421),f3(f10(x421,x422),x421))
% 62.99/63.04  %EqnAxiom
% 62.99/63.04  [1]E(x11,x11)
% 62.99/63.04  [2]E(x22,x21)+~E(x21,x22)
% 62.99/63.04  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 62.99/63.04  [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 62.99/63.04  [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 62.99/63.04  [6]~E(x61,x62)+E(f10(x61,x63),f10(x62,x63))
% 62.99/63.04  [7]~E(x71,x72)+E(f10(x73,x71),f10(x73,x72))
% 62.99/63.04  [8]~E(x81,x82)+E(f9(x81,x83),f9(x82,x83))
% 62.99/63.04  [9]~E(x91,x92)+E(f9(x93,x91),f9(x93,x92))
% 62.99/63.04  [10]~E(x101,x102)+E(f4(x101,x103),f4(x102,x103))
% 62.99/63.04  [11]~E(x111,x112)+E(f4(x113,x111),f4(x113,x112))
% 62.99/63.04  [12]P1(x122,x123)+~E(x121,x122)+~P1(x121,x123)
% 62.99/63.04  [13]P1(x133,x132)+~E(x131,x132)+~P1(x133,x131)
% 62.99/63.04  [14]P3(x142,x143)+~E(x141,x142)+~P3(x141,x143)
% 62.99/63.04  [15]P3(x153,x152)+~E(x151,x152)+~P3(x153,x151)
% 62.99/63.04  [16]P2(x162,x163)+~E(x161,x162)+~P2(x161,x163)
% 62.99/63.04  [17]P2(x173,x172)+~E(x171,x172)+~P2(x173,x171)
% 62.99/63.04  
% 62.99/63.04  %-------------------------------------------
% 62.99/63.05  cnf(43,plain,
% 62.99/63.05     (P1(x431,x431)),
% 62.99/63.05     inference(equality_inference,[],[27])).
% 62.99/63.05  cnf(44,plain,
% 62.99/63.05     (~P3(x441,x441)),
% 62.99/63.05     inference(equality_inference,[],[28])).
% 62.99/63.05  cnf(45,plain,
% 62.99/63.05     (P3(x451,f10(x451,x452))+~P3(a8,x452)),
% 62.99/63.05     inference(equality_inference,[],[34])).
% 62.99/63.05  cnf(48,plain,
% 62.99/63.05     (~P3(a1,a2)),
% 62.99/63.05     inference(scs_inference,[],[18,28])).
% 62.99/63.05  cnf(50,plain,
% 62.99/63.05     (E(a2,a1)),
% 62.99/63.05     inference(scs_inference,[],[18,28,2])).
% 62.99/63.05  cnf(51,plain,
% 62.99/63.05     (~P1(a6,a8)),
% 62.99/63.05     inference(scs_inference,[],[18,44,28,2,31])).
% 62.99/63.05  cnf(52,plain,
% 62.99/63.05     (~P3(x521,x521)),
% 62.99/63.05     inference(rename_variables,[],[44])).
% 62.99/63.05  cnf(54,plain,
% 62.99/63.05     (~P3(a6,a8)),
% 62.99/63.05     inference(scs_inference,[],[18,44,28,2,31,32])).
% 62.99/63.05  cnf(56,plain,
% 62.99/63.05     (P3(x561,f10(x561,a6))),
% 62.99/63.05     inference(scs_inference,[],[18,44,23,28,2,31,32,45])).
% 62.99/63.05  cnf(58,plain,
% 62.99/63.05     (E(f10(a1,a8),a2)),
% 62.99/63.05     inference(scs_inference,[],[18,44,24,23,28,2,31,32,45,3])).
% 62.99/63.05  cnf(60,plain,
% 62.99/63.05     (P1(a2,a7)),
% 62.99/63.05     inference(scs_inference,[],[18,22,44,24,23,28,2,31,32,45,3,12])).
% 62.99/63.05  cnf(61,plain,
% 62.99/63.05     (~E(a2,a8)),
% 62.99/63.05     inference(scs_inference,[],[18,20,22,44,24,23,28,2,31,32,45,3,12,13])).
% 62.99/63.05  cnf(62,plain,
% 62.99/63.05     (P3(x621,f10(a6,x621))),
% 62.99/63.05     inference(scs_inference,[],[18,20,22,44,25,24,23,28,2,31,32,45,3,12,13,34])).
% 62.99/63.05  cnf(65,plain,
% 62.99/63.05     (P3(a8,f10(a6,a6))),
% 62.99/63.05     inference(scs_inference,[],[18,20,22,44,25,24,23,28,2,31,32,45,3,12,13,34,35])).
% 62.99/63.05  cnf(68,plain,
% 62.99/63.05     (~P3(x681,x681)),
% 62.99/63.05     inference(rename_variables,[],[44])).
% 62.99/63.05  cnf(71,plain,
% 62.99/63.05     (P2(a2,a2)),
% 62.99/63.05     inference(scs_inference,[],[18,20,22,44,52,68,25,24,23,28,2,31,32,45,3,12,13,34,35,14,15,39])).
% 62.99/63.05  cnf(75,plain,
% 62.99/63.05     (P2(a1,a2)),
% 62.99/63.05     inference(scs_inference,[],[18,20,22,44,52,68,25,24,23,28,2,31,32,45,3,12,13,34,35,14,15,39,33,16])).
% 62.99/63.05  cnf(76,plain,
% 62.99/63.05     (P2(a2,a1)),
% 62.99/63.05     inference(scs_inference,[],[18,20,22,44,52,68,25,24,23,28,2,31,32,45,3,12,13,34,35,14,15,39,33,16,17])).
% 62.99/63.05  cnf(81,plain,
% 62.99/63.05     (P3(x811,f10(x811,f10(a8,a6)))),
% 62.99/63.05     inference(scs_inference,[],[56,45])).
% 62.99/63.05  cnf(82,plain,
% 62.99/63.05     (P3(x821,f10(x821,a6))),
% 62.99/63.05     inference(rename_variables,[],[56])).
% 62.99/63.05  cnf(84,plain,
% 62.99/63.05     (~P3(f3(a2,a1),a5)),
% 62.99/63.05     inference(scs_inference,[],[19,56,45,28])).
% 62.99/63.05  cnf(86,plain,
% 62.99/63.05     (E(a5,f3(a2,a1))),
% 62.99/63.05     inference(scs_inference,[],[19,56,45,28,2])).
% 62.99/63.05  cnf(87,plain,
% 62.99/63.05     (P3(x871,f10(f10(a6,x871),a6))),
% 62.99/63.05     inference(scs_inference,[],[19,56,82,62,45,28,2,35])).
% 62.99/63.05  cnf(88,plain,
% 62.99/63.05     (P3(x881,f10(x881,a6))),
% 62.99/63.05     inference(rename_variables,[],[56])).
% 62.99/63.05  cnf(90,plain,
% 62.99/63.05     (P3(x901,f10(f10(a8,a6),x901))),
% 62.99/63.05     inference(scs_inference,[],[19,56,82,88,62,25,45,28,2,35,34])).
% 62.99/63.05  cnf(92,plain,
% 62.99/63.05     (P3(x921,f10(x921,a6))),
% 62.99/63.05     inference(rename_variables,[],[56])).
% 62.99/63.05  cnf(97,plain,
% 62.99/63.05     (~E(a11,f3(a2,a1))),
% 62.99/63.05     inference(scs_inference,[],[19,50,44,56,82,88,92,62,26,76,25,45,28,2,35,34,16,14,3])).
% 62.99/63.05  cnf(98,plain,
% 62.99/63.05     (~E(f10(a1,a6),a2)),
% 62.99/63.05     inference(scs_inference,[],[19,48,50,44,56,82,88,92,62,26,76,25,45,28,2,35,34,16,14,3,15])).
% 62.99/63.05  cnf(103,plain,
% 62.99/63.05     (P1(x1031,a2)+~E(a6,x1031)),
% 62.99/63.05     inference(scs_inference,[],[19,22,20,48,50,44,56,82,88,92,62,26,76,25,45,28,2,35,34,16,14,3,15,33,13,12])).
% 62.99/63.05  cnf(110,plain,
% 62.99/63.05     (P3(x1101,f10(x1101,f10(f10(a8,a6),a8)))),
% 62.99/63.05     inference(scs_inference,[],[90,45])).
% 62.99/63.05  cnf(111,plain,
% 62.99/63.05     (P3(x1111,f10(f10(a8,a6),x1111))),
% 62.99/63.05     inference(rename_variables,[],[90])).
% 62.99/63.05  cnf(113,plain,
% 62.99/63.05     (~P3(f10(a1,a8),a2)),
% 62.99/63.05     inference(scs_inference,[],[58,90,45,28])).
% 62.99/63.05  cnf(115,plain,
% 62.99/63.05     (E(a2,f10(a1,a8))),
% 62.99/63.05     inference(scs_inference,[],[58,90,45,28,2])).
% 62.99/63.05  cnf(116,plain,
% 62.99/63.05     (P3(x1161,f10(f10(f10(a8,a6),a8),x1161))),
% 62.99/63.05     inference(scs_inference,[],[58,90,111,25,45,28,2,34])).
% 62.99/63.05  cnf(118,plain,
% 62.99/63.05     (P3(x1181,f10(f10(a8,a6),x1181))),
% 62.99/63.05     inference(rename_variables,[],[90])).
% 62.99/63.05  cnf(120,plain,
% 62.99/63.05     (P3(x1201,f10(f10(a8,a6),f10(x1201,f10(a8,a6))))),
% 62.99/63.05     inference(scs_inference,[],[58,90,111,118,81,25,45,28,2,34,35])).
% 62.99/63.05  cnf(121,plain,
% 62.99/63.05     (P3(x1211,f10(f10(a8,a6),x1211))),
% 62.99/63.05     inference(rename_variables,[],[90])).
% 62.99/63.05  cnf(126,plain,
% 62.99/63.05     (~E(f10(f10(a8,a6),f3(a2,a1)),a5)),
% 62.99/63.05     inference(scs_inference,[],[18,58,84,44,90,111,118,121,81,98,25,45,28,2,34,35,14,3,15])).
% 62.99/63.05  cnf(130,plain,
% 62.99/63.05     (P1(a2,x1301)+~E(a7,x1301)),
% 62.99/63.05     inference(scs_inference,[],[18,60,58,84,44,90,111,118,121,81,98,25,45,28,2,34,35,14,3,15,33,13])).
% 62.99/63.05  cnf(137,plain,
% 62.99/63.05     (P3(x1371,f10(x1371,f10(f10(a6,a8),a6)))),
% 62.99/63.05     inference(scs_inference,[],[87,45])).
% 62.99/63.05  cnf(142,plain,
% 62.99/63.05     (E(x1421,f10(x1421,a8))),
% 62.99/63.05     inference(scs_inference,[],[86,87,24,45,28,2])).
% 62.99/63.05  cnf(143,plain,
% 62.99/63.05     (P2(a2,f10(a1,a8))),
% 62.99/63.05     inference(scs_inference,[],[86,115,71,87,24,45,28,2,17])).
% 62.99/63.05  cnf(144,plain,
% 62.99/63.05     (~P3(f10(a6,a6),a8)),
% 62.99/63.05     inference(scs_inference,[],[86,115,44,71,87,65,24,45,28,2,17,35])).
% 62.99/63.05  cnf(145,plain,
% 62.99/63.05     (~P3(x1451,x1451)),
% 62.99/63.05     inference(rename_variables,[],[44])).
% 62.99/63.05  cnf(147,plain,
% 62.99/63.05     (P2(f10(a1,a8),a2)),
% 62.99/63.05     inference(scs_inference,[],[86,115,44,71,87,65,24,45,28,2,17,35,16])).
% 62.99/63.05  cnf(148,plain,
% 62.99/63.05     (P1(a1,f10(a7,a8))),
% 62.99/63.05     inference(scs_inference,[],[22,86,115,44,71,87,65,24,45,28,2,17,35,16,13])).
% 62.99/63.05  cnf(149,plain,
% 62.99/63.05     (~E(x1491,f10(f10(a8,a6),f10(x1491,f10(a8,a6))))),
% 62.99/63.05     inference(scs_inference,[],[22,86,115,44,145,71,120,87,65,24,45,28,2,17,35,16,13,14])).
% 62.99/63.05  cnf(152,plain,
% 62.99/63.05     (P1(f10(a1,a8),a1)),
% 62.99/63.05     inference(scs_inference,[],[21,22,19,86,115,44,145,71,120,87,126,65,24,45,28,2,17,35,16,13,14,3,12])).
% 62.99/63.05  cnf(153,plain,
% 62.99/63.05     (~E(f10(f10(a8,a6),f10(f10(a1,a8),f10(a8,a6))),a2)),
% 62.99/63.05     inference(scs_inference,[],[21,22,19,86,113,115,44,145,71,120,87,126,65,24,45,28,2,17,35,16,13,14,3,12,15])).
% 62.99/63.05  cnf(161,plain,
% 62.99/63.05     (P1(f10(a6,a8),a2)),
% 62.99/63.05     inference(scs_inference,[],[142,103])).
% 62.99/63.05  cnf(162,plain,
% 62.99/63.05     (E(x1621,f10(x1621,a8))),
% 62.99/63.05     inference(rename_variables,[],[142])).
% 62.99/63.05  cnf(165,plain,
% 62.99/63.05     (P3(x1651,f10(x1651,f10(a8,f10(a8,a6))))),
% 62.99/63.05     inference(scs_inference,[],[142,149,81,103,7,45])).
% 62.99/63.05  cnf(168,plain,
% 62.99/63.05     (~P3(x1681,f10(x1681,a8))),
% 62.99/63.05     inference(scs_inference,[],[142,162,149,81,103,7,45,28])).
% 62.99/63.05  cnf(170,plain,
% 62.99/63.05     (P2(a1,f10(a2,a8))),
% 62.99/63.05     inference(scs_inference,[],[142,162,75,149,81,103,7,45,28,17])).
% 62.99/63.05  cnf(171,plain,
% 62.99/63.05     (E(x1711,f10(x1711,a8))),
% 62.99/63.05     inference(rename_variables,[],[142])).
% 62.99/63.05  cnf(172,plain,
% 62.99/63.05     (P2(f10(a2,a8),a1)),
% 62.99/63.05     inference(scs_inference,[],[142,162,171,75,76,149,81,103,7,45,28,17,16])).
% 62.99/63.05  cnf(173,plain,
% 62.99/63.05     (E(x1731,f10(x1731,a8))),
% 62.99/63.05     inference(rename_variables,[],[142])).
% 62.99/63.05  cnf(174,plain,
% 62.99/63.05     (P1(a1,f10(f10(a7,a8),a8))),
% 62.99/63.05     inference(scs_inference,[],[142,162,171,173,148,75,76,149,81,103,7,45,28,17,16,13])).
% 62.99/63.05  cnf(175,plain,
% 62.99/63.05     (E(x1751,f10(x1751,a8))),
% 62.99/63.05     inference(rename_variables,[],[142])).
% 62.99/63.05  cnf(178,plain,
% 62.99/63.05     (P1(f10(a2,a8),a1)),
% 62.99/63.05     inference(scs_inference,[],[21,142,162,171,173,175,148,44,75,76,149,116,81,103,7,45,28,17,16,13,14,12])).
% 62.99/63.05  cnf(190,plain,
% 62.99/63.05     (~P1(a6,f10(a8,a8))),
% 62.99/63.05     inference(scs_inference,[],[168,31])).
% 62.99/63.05  cnf(191,plain,
% 62.99/63.05     (~P3(x1911,f10(x1911,a8))),
% 62.99/63.05     inference(rename_variables,[],[168])).
% 62.99/63.05  cnf(193,plain,
% 62.99/63.05     (~P3(a6,f10(a8,a8))),
% 62.99/63.05     inference(scs_inference,[],[168,31,32])).
% 62.99/63.05  cnf(195,plain,
% 62.99/63.05     (P3(x1951,f10(x1951,f10(a6,a6)))),
% 62.99/63.05     inference(scs_inference,[],[168,65,31,32,45])).
% 62.99/63.05  cnf(197,plain,
% 62.99/63.05     (~P3(a2,a1)),
% 62.99/63.05     inference(scs_inference,[],[50,168,65,31,32,45,28])).
% 62.99/63.05  cnf(202,plain,
% 62.99/63.05     (P3(x2021,f10(f10(x2021,f10(a6,a6)),a8))),
% 62.99/63.05     inference(scs_inference,[],[50,168,142,65,165,31,32,45,28,35,34])).
% 62.99/63.05  cnf(203,plain,
% 62.99/63.05     (E(x2031,f10(x2031,a8))),
% 62.99/63.05     inference(rename_variables,[],[142])).
% 62.99/63.05  cnf(205,plain,
% 62.99/63.05     (P2(f10(a2,a8),a2)),
% 62.99/63.05     inference(scs_inference,[],[18,50,168,142,65,165,172,31,32,45,28,35,34,17])).
% 62.99/63.05  cnf(206,plain,
% 62.99/63.05     (P2(f10(f10(a2,a8),a8),a1)),
% 62.99/63.05     inference(scs_inference,[],[18,50,168,142,203,65,165,172,31,32,45,28,35,34,17,16])).
% 62.99/63.05  cnf(207,plain,
% 62.99/63.05     (E(x2071,f10(x2071,a8))),
% 62.99/63.05     inference(rename_variables,[],[142])).
% 62.99/63.05  cnf(209,plain,
% 62.99/63.05     (P1(f10(a2,a8),a2)),
% 62.99/63.05     inference(scs_inference,[],[18,50,58,168,178,142,203,65,165,172,153,31,32,45,28,35,34,17,16,3,13])).
% 62.99/63.05  cnf(210,plain,
% 62.99/63.05     (P1(f10(f10(a2,a8),a8),a1)),
% 62.99/63.05     inference(scs_inference,[],[18,50,58,168,178,142,203,207,65,165,172,153,31,32,45,28,35,34,17,16,3,13,12])).
% 62.99/63.05  cnf(212,plain,
% 62.99/63.05     (~E(a8,f10(a6,a6))),
% 62.99/63.05     inference(scs_inference,[],[18,50,58,168,178,142,203,207,44,65,165,172,153,31,32,45,28,35,34,17,16,3,13,12,14])).
% 62.99/63.05  cnf(214,plain,
% 62.99/63.05     (~E(f10(a6,a6),f10(a8,a8))),
% 62.99/63.05     inference(scs_inference,[],[18,50,58,168,191,178,142,203,207,44,65,165,172,153,31,32,45,28,35,34,17,16,3,13,12,14,15])).
% 62.99/63.05  cnf(218,plain,
% 62.99/63.05     (P3(f10(a8,a8),a6)),
% 62.99/63.05     inference(scs_inference,[],[18,50,58,168,191,178,142,203,207,44,65,165,172,153,31,32,45,28,35,34,17,16,3,13,12,14,15,27,29])).
% 62.99/63.05  cnf(225,plain,
% 62.99/63.05     (P3(x2251,f10(x2251,f10(a8,f10(a6,a6))))),
% 62.99/63.05     inference(scs_inference,[],[195,45])).
% 62.99/63.05  cnf(228,plain,
% 62.99/63.05     (~P3(a2,f10(a1,a8))),
% 62.99/63.05     inference(scs_inference,[],[115,195,45,28])).
% 62.99/63.05  cnf(233,plain,
% 62.99/63.05     (P3(x2331,f10(f10(x2331,a6),a8))),
% 62.99/63.05     inference(scs_inference,[],[115,142,23,110,195,45,28,35,34])).
% 62.99/63.05  cnf(234,plain,
% 62.99/63.05     (E(x2341,f10(x2341,a8))),
% 62.99/63.05     inference(rename_variables,[],[142])).
% 62.99/63.05  cnf(236,plain,
% 62.99/63.05     (P2(f10(f10(a2,a8),a8),a2)),
% 62.99/63.05     inference(scs_inference,[],[18,115,142,23,110,195,206,45,28,35,34,17])).
% 62.99/63.05  cnf(237,plain,
% 62.99/63.05     (P2(f10(f10(f10(a2,a8),a8),a8),a1)),
% 62.99/63.05     inference(scs_inference,[],[18,115,142,234,23,110,195,206,45,28,35,34,17,16])).
% 62.99/63.05  cnf(238,plain,
% 62.99/63.05     (E(x2381,f10(x2381,a8))),
% 62.99/63.05     inference(rename_variables,[],[142])).
% 62.99/63.05  cnf(239,plain,
% 62.99/63.05     (P1(f10(a6,a8),a1)),
% 62.99/63.05     inference(scs_inference,[],[18,50,115,161,142,234,23,110,195,206,45,28,35,34,17,16,13])).
% 62.99/63.05  cnf(241,plain,
% 62.99/63.05     (P1(f10(f10(a6,a8),a8),a2)),
% 62.99/63.05     inference(scs_inference,[],[18,50,58,115,161,142,234,238,23,110,195,206,98,45,28,35,34,17,16,13,3,12])).
% 62.99/63.05  cnf(252,plain,
% 62.99/63.05     (P3(x2521,f10(x2521,f10(a6,a8)))),
% 62.99/63.05     inference(scs_inference,[],[62,45])).
% 62.99/63.05  cnf(255,plain,
% 62.99/63.05     (~P3(f10(x2551,a8),x2551)),
% 62.99/63.05     inference(scs_inference,[],[24,62,45,28])).
% 62.99/63.05  cnf(260,plain,
% 62.99/63.05     (P3(x2601,f10(f10(a6,a6),x2601))),
% 62.99/63.05     inference(scs_inference,[],[24,25,65,137,62,45,28,35,34])).
% 62.99/63.05  cnf(264,plain,
% 62.99/63.05     (P2(a1,f10(a1,a8))),
% 62.99/63.05     inference(scs_inference,[],[18,50,24,25,65,137,237,143,62,45,28,35,34,17,16])).
% 62.99/63.05  cnf(265,plain,
% 62.99/63.06     (P1(a1,f10(f10(f10(a7,a8),a8),a8))),
% 62.99/63.06     inference(scs_inference,[],[18,50,174,142,24,25,65,137,237,143,62,45,28,35,34,17,16,13])).
% 62.99/63.06  cnf(267,plain,
% 62.99/63.06     (P1(a2,f10(f10(a7,a8),a8))),
% 62.99/63.06     inference(scs_inference,[],[18,50,174,142,24,25,65,137,237,143,62,45,28,35,34,17,16,13,12])).
% 62.99/63.06  cnf(280,plain,
% 62.99/63.06     (P3(x2801,f10(x2801,f10(a8,f10(a6,a8))))),
% 62.99/63.06     inference(scs_inference,[],[252,45])).
% 62.99/63.06  cnf(281,plain,
% 62.99/63.06     (P3(x2811,f10(x2811,f10(a6,a8)))),
% 62.99/63.06     inference(rename_variables,[],[252])).
% 62.99/63.06  cnf(283,plain,
% 62.99/63.06     (~P3(f10(x2831,x2832),f10(x2832,x2831))),
% 62.99/63.06     inference(scs_inference,[],[25,252,45,28])).
% 62.99/63.06  cnf(285,plain,
% 62.99/63.06     (~P3(f10(a6,a8),a8)),
% 62.99/63.06     inference(scs_inference,[],[255,25,23,252,45,28,35])).
% 62.99/63.06  cnf(288,plain,
% 62.99/63.06     (P2(f10(a1,a8),a1)),
% 62.99/63.06     inference(scs_inference,[],[50,255,25,23,252,147,45,28,35,17])).
% 62.99/63.06  cnf(289,plain,
% 62.99/63.06     (P2(a2,f10(a2,a8))),
% 62.99/63.06     inference(scs_inference,[],[18,50,255,25,23,252,147,170,45,28,35,17,16])).
% 62.99/63.06  cnf(293,plain,
% 62.99/63.06     (E(x2931,f10(x2931,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(294,plain,
% 62.99/63.06     (P1(f10(f10(a6,a8),a8),a1)),
% 62.99/63.06     inference(scs_inference,[],[18,50,168,255,239,267,142,293,25,23,252,281,147,170,45,28,35,17,16,15,13,12])).
% 62.99/63.06  cnf(305,plain,
% 62.99/63.06     (P3(x3051,f10(x3051,f10(f10(a6,a6),a8)))),
% 62.99/63.06     inference(scs_inference,[],[260,45])).
% 62.99/63.06  cnf(309,plain,
% 62.99/63.06     (P3(x3091,f10(x3091,f10(a8,f10(a6,a8))))),
% 62.99/63.06     inference(rename_variables,[],[280])).
% 62.99/63.06  cnf(311,plain,
% 62.99/63.06     (P2(f10(f10(a2,a8),a8),f10(a1,a8))),
% 62.99/63.06     inference(scs_inference,[],[115,65,280,260,236,45,35,17])).
% 62.99/63.06  cnf(312,plain,
% 62.99/63.06     (P2(f10(a1,a8),f10(a2,a8))),
% 62.99/63.06     inference(scs_inference,[],[115,65,280,260,236,289,45,35,17,16])).
% 62.99/63.06  cnf(315,plain,
% 62.99/63.06     (P1(f10(a2,a8),f10(a1,a8))),
% 62.99/63.06     inference(scs_inference,[],[115,168,209,65,280,309,260,236,289,45,35,17,16,15,13])).
% 62.99/63.06  cnf(316,plain,
% 62.99/63.06     (P1(f10(a1,a8),a7)),
% 62.99/63.06     inference(scs_inference,[],[60,115,168,209,65,280,309,260,236,289,45,35,17,16,15,13,12])).
% 62.99/63.06  cnf(329,plain,
% 62.99/63.06     (P3(x3291,f10(x3291,f10(a8,f10(a6,a6))))),
% 62.99/63.06     inference(rename_variables,[],[225])).
% 62.99/63.06  cnf(331,plain,
% 62.99/63.06     (P2(f10(a1,a8),f10(f10(a2,a8),a8))),
% 62.99/63.06     inference(scs_inference,[],[142,23,225,312,35,17])).
% 62.99/63.06  cnf(332,plain,
% 62.99/63.06     (E(x3321,f10(x3321,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(334,plain,
% 62.99/63.06     (E(x3341,f10(x3341,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(337,plain,
% 62.99/63.06     (P1(f10(a1,a8),a2)),
% 62.99/63.06     inference(scs_inference,[],[18,142,332,168,152,23,225,329,311,312,35,17,16,15,13])).
% 62.99/63.06  cnf(338,plain,
% 62.99/63.06     (P1(f10(f10(a2,a8),a8),f10(a1,a8))),
% 62.99/63.06     inference(scs_inference,[],[18,142,332,334,168,315,152,23,225,329,311,312,35,17,16,15,13,12])).
% 62.99/63.06  cnf(351,plain,
% 62.99/63.06     (P3(a8,f10(f10(f10(a6,a6),a6),a8))),
% 62.99/63.06     inference(scs_inference,[],[65,233,35])).
% 62.99/63.06  cnf(352,plain,
% 62.99/63.06     (P3(x3521,f10(f10(x3521,a6),a8))),
% 62.99/63.06     inference(rename_variables,[],[233])).
% 62.99/63.06  cnf(354,plain,
% 62.99/63.06     (P2(f10(a1,a8),f10(f10(f10(a2,a8),a8),a8))),
% 62.99/63.06     inference(scs_inference,[],[142,65,233,331,35,17])).
% 62.99/63.06  cnf(355,plain,
% 62.99/63.06     (E(x3551,f10(x3551,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(356,plain,
% 62.99/63.06     (P2(a2,f10(f10(a2,a8),a8))),
% 62.99/63.06     inference(scs_inference,[],[58,142,65,233,331,35,17,16])).
% 62.99/63.06  cnf(359,plain,
% 62.99/63.06     (P1(f10(f10(a2,a8),a8),a2)),
% 62.99/63.06     inference(scs_inference,[],[58,142,168,338,65,233,352,331,35,17,16,15,13])).
% 62.99/63.06  cnf(360,plain,
% 62.99/63.06     (P1(f10(f10(f10(a2,a8),a8),a8),f10(a1,a8))),
% 62.99/63.06     inference(scs_inference,[],[58,142,355,168,338,65,233,352,331,35,17,16,15,13,12])).
% 62.99/63.06  cnf(364,plain,
% 62.99/63.06     (~E(f10(x3641,a6),x3641)),
% 62.99/63.06     inference(scs_inference,[],[58,142,355,168,44,338,65,233,352,252,331,35,17,16,15,13,12,14,6])).
% 62.99/63.06  cnf(373,plain,
% 62.99/63.06     (P3(a8,f10(f10(a8,a6),a6))),
% 62.99/63.06     inference(scs_inference,[],[23,90,35])).
% 62.99/63.06  cnf(374,plain,
% 62.99/63.06     (P3(x3741,f10(f10(a8,a6),x3741))),
% 62.99/63.06     inference(rename_variables,[],[90])).
% 62.99/63.06  cnf(377,plain,
% 62.99/63.06     (P2(a1,f10(f10(a2,a8),a8))),
% 62.99/63.06     inference(scs_inference,[],[58,142,23,90,354,170,35,16,17])).
% 62.99/63.06  cnf(378,plain,
% 62.99/63.06     (E(x3781,f10(x3781,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(380,plain,
% 62.99/63.06     (~E(f10(a2,a6),a1)),
% 62.99/63.06     inference(scs_inference,[],[18,58,142,364,360,23,90,354,170,35,16,17,13,3])).
% 62.99/63.06  cnf(388,plain,
% 62.99/63.06     (P3(x3881,f10(x3881,f10(f10(a8,a6),a6)))),
% 62.99/63.06     inference(scs_inference,[],[18,58,142,378,168,44,364,360,210,23,90,374,195,354,170,35,16,17,13,3,15,12,14,45])).
% 62.99/63.06  cnf(397,plain,
% 62.99/63.06     (P3(a8,f10(f10(a6,a6),f10(a6,a6)))),
% 62.99/63.06     inference(scs_inference,[],[65,260,35])).
% 62.99/63.06  cnf(398,plain,
% 62.99/63.06     (P3(x3981,f10(f10(a6,a6),x3981))),
% 62.99/63.06     inference(rename_variables,[],[260])).
% 62.99/63.06  cnf(401,plain,
% 62.99/63.06     (E(x4011,f10(x4011,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(402,plain,
% 62.99/63.06     (~E(f10(a5,a6),f3(a2,a1))),
% 62.99/63.06     inference(scs_inference,[],[19,142,364,65,260,377,35,17,3])).
% 62.99/63.06  cnf(404,plain,
% 62.99/63.06     (P1(f10(a1,a8),f10(a7,a8))),
% 62.99/63.06     inference(scs_inference,[],[19,142,401,316,364,65,260,377,35,17,3,13])).
% 62.99/63.06  cnf(405,plain,
% 62.99/63.06     (E(x4051,f10(x4051,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(410,plain,
% 62.99/63.06     (~E(x4101,f10(f10(a6,x4101),a6))),
% 62.99/63.06     inference(scs_inference,[],[19,168,142,401,405,44,241,316,364,65,260,398,87,377,35,17,3,13,15,12,14])).
% 62.99/63.06  cnf(412,plain,
% 62.99/63.06     (~E(f10(a6,a6),a8)),
% 62.99/63.06     inference(scs_inference,[],[19,168,142,401,405,44,241,316,364,65,260,398,87,377,35,17,3,13,15,12,14,6])).
% 62.99/63.06  cnf(424,plain,
% 62.99/63.06     (P3(a8,f10(a6,f10(a6,a8)))),
% 62.99/63.06     inference(scs_inference,[],[23,252,410,6,35])).
% 62.99/63.06  cnf(427,plain,
% 62.99/63.06     (~E(f10(a2,a6),f10(a1,a8))),
% 62.99/63.06     inference(scs_inference,[],[58,364,23,252,410,6,35,3])).
% 62.99/63.06  cnf(431,plain,
% 62.99/63.06     (P1(f10(a1,a8),f10(f10(a7,a8),a8))),
% 62.99/63.06     inference(scs_inference,[],[58,168,142,404,364,23,56,252,410,6,35,3,15,13])).
% 62.99/63.06  cnf(432,plain,
% 62.99/63.06     (E(x4321,f10(x4321,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(437,plain,
% 62.99/63.06     (P3(x4371,f10(x4371,f10(a6,f10(a6,a8))))),
% 62.99/63.06     inference(scs_inference,[],[58,168,142,432,44,404,294,364,23,56,252,81,410,6,35,3,15,13,12,14,45])).
% 62.99/63.06  cnf(446,plain,
% 62.99/63.06     (P3(a8,f10(f10(a8,a6),f10(a6,a6)))),
% 62.99/63.06     inference(scs_inference,[],[65,90,35])).
% 62.99/63.06  cnf(455,plain,
% 62.99/63.06     (P3(x4551,f10(x4551,f10(f10(a8,a6),f10(a6,a6))))),
% 62.99/63.06     inference(scs_inference,[],[168,142,44,431,65,90,195,388,35,13,15,14,45])).
% 62.99/63.06  cnf(466,plain,
% 62.99/63.06     (P1(f10(a6,a8),a6)),
% 62.99/63.06     inference(scs_inference,[],[23,142,30,12])).
% 62.99/63.06  cnf(467,plain,
% 62.99/63.06     (P3(a8,f10(f10(a6,a6),a6))),
% 62.99/63.06     inference(scs_inference,[],[65,56,35])).
% 62.99/63.06  cnf(472,plain,
% 62.99/63.06     (P1(f10(f10(a6,a8),a8),a6)),
% 62.99/63.06     inference(scs_inference,[],[86,142,364,466,65,56,35,3,12])).
% 62.99/63.06  cnf(473,plain,
% 62.99/63.06     (E(x4731,f10(x4731,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(474,plain,
% 62.99/63.06     (~E(f10(a6,x4741),f10(x4741,a8))),
% 62.99/63.06     inference(scs_inference,[],[86,168,142,364,466,65,56,62,35,3,12,15])).
% 62.99/63.06  cnf(476,plain,
% 62.99/63.06     (P1(f10(f10(a6,a8),a8),f10(a6,a8))),
% 62.99/63.06     inference(scs_inference,[],[86,168,142,473,364,466,65,56,62,35,3,12,15,13])).
% 62.99/63.06  cnf(480,plain,
% 62.99/63.06     (P3(x4801,f10(x4801,f10(f10(a6,a6),a6)))),
% 62.99/63.06     inference(scs_inference,[],[86,168,142,473,364,44,466,65,56,62,455,35,3,12,15,13,14,45])).
% 62.99/63.06  cnf(489,plain,
% 62.99/63.06     (P3(a8,f10(a6,f10(a8,a6)))),
% 62.99/63.06     inference(scs_inference,[],[23,81,35])).
% 62.99/63.06  cnf(500,plain,
% 62.99/63.06     (P3(x5001,f10(x5001,f10(a6,f10(a8,a6))))),
% 62.99/63.06     inference(scs_inference,[],[115,168,142,364,44,476,23,87,81,480,35,12,3,15,14,45])).
% 62.99/63.06  cnf(509,plain,
% 62.99/63.06     (P3(a8,f10(f10(a6,a6),f10(a6,a8)))),
% 62.99/63.06     inference(scs_inference,[],[65,252,35])).
% 62.99/63.06  cnf(518,plain,
% 62.99/63.06     (P3(x5181,f10(x5181,f10(f10(a6,a6),f10(a6,a8))))),
% 62.99/63.06     inference(scs_inference,[],[168,142,472,44,65,252,81,500,35,12,15,14,45])).
% 62.99/63.06  cnf(529,plain,
% 62.99/63.06     (P3(a8,f10(a6,f10(a6,a6)))),
% 62.99/63.06     inference(scs_inference,[],[23,195,35])).
% 62.99/63.06  cnf(533,plain,
% 62.99/63.06     (P3(x5331,f10(x5331,f10(f10(a6,a6),f10(a6,a8))))),
% 62.99/63.06     inference(rename_variables,[],[518])).
% 62.99/63.06  cnf(536,plain,
% 62.99/63.06     (~E(f10(f10(a6,a6),f10(a6,a8)),a8)),
% 62.99/63.06     inference(scs_inference,[],[168,44,23,195,518,533,35,15,14,7])).
% 62.99/63.06  cnf(537,plain,
% 62.99/63.06     (P3(x5371,f10(x5371,f10(a6,f10(a6,a6))))),
% 62.99/63.06     inference(scs_inference,[],[168,44,23,195,518,533,35,15,14,7,45])).
% 62.99/63.06  cnf(565,plain,
% 62.99/63.06     (~P3(f10(f10(a6,a6),a6),a8)),
% 62.99/63.06     inference(scs_inference,[],[44,467,35])).
% 62.99/63.06  cnf(568,plain,
% 62.99/63.06     (~E(f10(f10(a6,a6),a6),f10(a8,a8))),
% 62.99/63.06     inference(scs_inference,[],[168,44,467,35,15])).
% 62.99/63.06  cnf(582,plain,
% 62.99/63.06     (~P3(x5821,x5821)),
% 62.99/63.06     inference(rename_variables,[],[44])).
% 62.99/63.06  cnf(586,plain,
% 62.99/63.06     (~E(f10(f10(a8,a6),a6),f10(a8,a8))),
% 62.99/63.06     inference(scs_inference,[],[168,44,582,373,35,14,15])).
% 62.99/63.06  cnf(597,plain,
% 62.99/63.06     (P3(a8,f10(f10(a6,a6),f10(a8,a6)))),
% 62.99/63.06     inference(scs_inference,[],[65,81,35])).
% 62.99/63.06  cnf(600,plain,
% 62.99/63.06     (~E(f10(f10(a6,a6),f10(a6,a6)),f10(a8,a8))),
% 62.99/63.06     inference(scs_inference,[],[168,65,81,397,35,15])).
% 62.99/63.06  cnf(615,plain,
% 62.99/63.06     (~P3(f10(a6,f10(a6,a6)),a8)),
% 62.99/63.06     inference(scs_inference,[],[44,529,35])).
% 62.99/63.06  cnf(631,plain,
% 62.99/63.06     (P2(f10(a2,a8),f10(f10(a2,a8),a8))),
% 62.99/63.06     inference(scs_inference,[],[142,356,16])).
% 62.99/63.06  cnf(632,plain,
% 62.99/63.06     (E(x6321,f10(x6321,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(633,plain,
% 62.99/63.06     (~P3(f10(a6,f10(a6,a8)),a8)),
% 62.99/63.06     inference(scs_inference,[],[142,44,356,424,16,35])).
% 62.99/63.06  cnf(636,plain,
% 62.99/63.06     (P2(f10(a2,a8),f10(a2,a8))),
% 62.99/63.06     inference(scs_inference,[],[142,632,44,356,205,424,16,35,17])).
% 62.99/63.06  cnf(637,plain,
% 62.99/63.06     (E(x6371,f10(x6371,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(639,plain,
% 62.99/63.06     (E(x6391,f10(x6391,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(640,plain,
% 62.99/63.06     (P1(f10(a2,a8),a7)),
% 62.99/63.06     inference(scs_inference,[],[60,142,632,637,639,359,44,356,205,424,16,35,17,13,12])).
% 62.99/63.06  cnf(655,plain,
% 62.99/63.06     (P2(f10(f10(a2,a8),a8),f10(a2,a8))),
% 62.99/63.06     inference(scs_inference,[],[142,636,16])).
% 62.99/63.06  cnf(656,plain,
% 62.99/63.06     (E(x6561,f10(x6561,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(661,plain,
% 62.99/63.06     (E(x6611,f10(x6611,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(662,plain,
% 62.99/63.06     (P1(f10(a2,a8),f10(a7,a8))),
% 62.99/63.06     inference(scs_inference,[],[142,656,661,44,640,489,636,631,16,35,17,13])).
% 62.99/63.06  cnf(680,plain,
% 62.99/63.06     (E(x6801,f10(x6801,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(681,plain,
% 62.99/63.06     (~P3(f10(f10(a6,a6),f10(a6,a8)),a8)),
% 62.99/63.06     inference(scs_inference,[],[142,44,509,655,16,35])).
% 62.99/63.06  cnf(685,plain,
% 62.99/63.06     (E(x6851,f10(x6851,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(687,plain,
% 62.99/63.06     (E(x6871,f10(x6871,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(688,plain,
% 62.99/63.06     (P1(f10(f10(a2,a8),a8),f10(a7,a8))),
% 62.99/63.06     inference(scs_inference,[],[142,680,685,687,44,662,509,655,16,35,17,13,12])).
% 62.99/63.06  cnf(704,plain,
% 62.99/63.06     (P1(f10(f10(a2,a8),a8),f10(f10(a7,a8),a8))),
% 62.99/63.06     inference(scs_inference,[],[142,44,688,446,35,13])).
% 62.99/63.06  cnf(705,plain,
% 62.99/63.06     (E(x7051,f10(x7051,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(706,plain,
% 62.99/63.06     (P1(f10(f10(f10(a2,a8),a8),a8),f10(a7,a8))),
% 62.99/63.06     inference(scs_inference,[],[142,705,44,688,446,35,13,12])).
% 62.99/63.06  cnf(724,plain,
% 62.99/63.06     (P1(f10(f10(a2,a8),a8),a7)),
% 62.99/63.06     inference(scs_inference,[],[142,44,640,397,35,12])).
% 62.99/63.06  cnf(740,plain,
% 62.99/63.06     (~P3(x7401,x7401)),
% 62.99/63.06     inference(rename_variables,[],[44])).
% 62.99/63.06  cnf(748,plain,
% 62.99/63.06     (~E(f10(a6,f10(a6,a8)),a8)),
% 62.99/63.06     inference(scs_inference,[],[142,168,44,740,724,597,437,35,12,14,15,7])).
% 62.99/63.06  cnf(758,plain,
% 62.99/63.06     (P3(x7581,f10(x7581,f10(a6,f10(a6,a6))))),
% 62.99/63.06     inference(rename_variables,[],[537])).
% 62.99/63.06  cnf(762,plain,
% 62.99/63.06     (~E(x7621,f10(x7621,f10(a6,f10(a6,a6))))),
% 62.99/63.06     inference(scs_inference,[],[18,142,44,65,537,758,35,3,14])).
% 62.99/63.06  cnf(766,plain,
% 62.99/63.06     (~E(f10(a6,f10(a6,a6)),a8)),
% 62.99/63.06     inference(scs_inference,[],[18,142,168,44,65,537,758,35,3,14,15,7])).
% 62.99/63.06  cnf(767,plain,
% 62.99/63.06     (~P3(a1,f10(a2,a8))),
% 62.99/63.06     inference(scs_inference,[],[18,142,168,44,65,537,758,35,3,14,15,7,28])).
% 62.99/63.06  cnf(769,plain,
% 62.99/63.06     (E(f10(a2,a8),a1)),
% 62.99/63.06     inference(scs_inference,[],[18,142,168,44,65,537,758,35,3,14,15,7,28,2])).
% 62.99/63.06  cnf(776,plain,
% 62.99/63.06     (~P3(f10(a2,a8),a1)),
% 62.99/63.06     inference(scs_inference,[],[769,28])).
% 62.99/63.06  cnf(793,plain,
% 62.99/63.06     (P3(x7931,f10(x7931,f10(f10(a6,a6),a8)))),
% 62.99/63.06     inference(rename_variables,[],[305])).
% 62.99/63.06  cnf(799,plain,
% 62.99/63.06     (~E(f10(f10(a6,a6),a6),a8)),
% 62.99/63.06     inference(scs_inference,[],[168,44,65,351,305,793,35,14,15,6])).
% 62.99/63.06  cnf(957,plain,
% 62.99/63.06     (P2(f10(a2,a8),f10(a1,a8))),
% 62.99/63.06     inference(scs_inference,[],[142,143,16])).
% 62.99/63.06  cnf(958,plain,
% 62.99/63.06     (E(x9581,f10(x9581,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(959,plain,
% 62.99/63.06     (P3(a8,f10(a6,f10(f10(a6,a6),f10(a6,a8))))),
% 62.99/63.06     inference(scs_inference,[],[142,143,23,518,16,35])).
% 62.99/63.06  cnf(962,plain,
% 62.99/63.06     (P1(f10(f10(a6,a8),a8),f10(a2,a8))),
% 62.99/63.06     inference(scs_inference,[],[241,142,958,143,23,518,16,35,13])).
% 62.99/63.06  cnf(963,plain,
% 62.99/63.06     (E(x9631,f10(x9631,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(966,plain,
% 62.99/63.06     (~E(x9661,f10(x9661,f10(a8,f10(a6,a8))))),
% 62.99/63.06     inference(scs_inference,[],[241,142,958,963,44,143,23,518,280,16,35,13,12,14])).
% 62.99/63.06  cnf(983,plain,
% 62.99/63.06     (P1(f10(f10(a6,a8),a8),f10(f10(a2,a8),a8))),
% 62.99/63.06     inference(scs_inference,[],[142,44,962,959,35,13])).
% 62.99/63.06  cnf(1296,plain,
% 62.99/63.06     (E(f3(a2,a1),f10(a5,a8))),
% 62.99/63.06     inference(scs_inference,[],[19,142,3])).
% 62.99/63.06  cnf(1298,plain,
% 62.99/63.06     (~P3(f3(a2,a1),f10(a5,a8))),
% 62.99/63.06     inference(scs_inference,[],[19,142,3,28])).
% 62.99/63.06  cnf(1300,plain,
% 62.99/63.06     (E(f10(a5,a8),f3(a2,a1))),
% 62.99/63.06     inference(scs_inference,[],[19,142,3,28,2])).
% 62.99/63.06  cnf(1301,plain,
% 62.99/63.06     (~P3(f10(a5,a8),f3(a2,a1))),
% 62.99/63.06     inference(scs_inference,[],[1300,28])).
% 62.99/63.06  cnf(1305,plain,
% 62.99/63.06     (~E(f10(a1,a6),f10(a2,a8))),
% 62.99/63.06     inference(scs_inference,[],[769,364,3])).
% 62.99/63.06  cnf(1321,plain,
% 62.99/63.06     (P1(a6,a1)),
% 62.99/63.06     inference(scs_inference,[],[24,239,12])).
% 62.99/63.06  cnf(1325,plain,
% 62.99/63.06     (~E(a1,a8)),
% 62.99/63.06     inference(scs_inference,[],[24,239,51,12,33,13])).
% 62.99/63.06  cnf(1336,plain,
% 62.99/63.06     (P1(f10(a6,a8),f10(a2,a8))),
% 62.99/63.06     inference(scs_inference,[],[161,142,13])).
% 62.99/63.06  cnf(1338,plain,
% 62.99/63.06     (P1(a2,f10(a1,a8))),
% 62.99/63.06     inference(scs_inference,[],[24,315,161,142,13,12])).
% 62.99/63.06  cnf(1350,plain,
% 62.99/63.06     (P1(f10(a6,a8),f10(f10(a2,a8),a8))),
% 62.99/63.06     inference(scs_inference,[],[24,983,12])).
% 62.99/63.06  cnf(1364,plain,
% 62.99/63.06     (P1(a1,a2)),
% 62.99/63.06     inference(scs_inference,[],[24,142,337,13,12])).
% 62.99/63.06  cnf(1376,plain,
% 62.99/63.06     (P1(a6,f10(a2,a8))),
% 62.99/63.06     inference(scs_inference,[],[24,1336,12])).
% 62.99/63.06  cnf(1391,plain,
% 62.99/63.06     (P1(a6,f10(f10(a2,a8),a8))),
% 62.99/63.06     inference(scs_inference,[],[24,142,1350,1364,13,12])).
% 62.99/63.06  cnf(1404,plain,
% 62.99/63.06     (P1(a1,f10(a1,a8))),
% 62.99/63.06     inference(scs_inference,[],[50,1338,1391,51,13,12])).
% 62.99/63.06  cnf(1452,plain,
% 62.99/63.06     (E(f10(x14521,x14522),f10(x14522,x14521))),
% 62.99/63.06     inference(rename_variables,[],[25])).
% 62.99/63.06  cnf(1453,plain,
% 62.99/63.06     (P2(a1,f10(a8,a1))),
% 62.99/63.06     inference(scs_inference,[],[25,1452,264,288,16,17])).
% 62.99/63.06  cnf(1454,plain,
% 62.99/63.06     (E(f10(x14541,x14542),f10(x14542,x14541))),
% 62.99/63.06     inference(rename_variables,[],[25])).
% 62.99/63.06  cnf(1456,plain,
% 62.99/63.06     (E(f10(x14561,x14562),f10(x14562,x14561))),
% 62.99/63.06     inference(rename_variables,[],[25])).
% 62.99/63.06  cnf(1457,plain,
% 62.99/63.06     (P1(f10(a8,a1),a7)),
% 62.99/63.06     inference(scs_inference,[],[25,1452,1454,1456,316,148,264,288,16,17,13,12])).
% 62.99/63.06  cnf(1470,plain,
% 62.99/63.06     (P2(a2,f10(a8,a2))),
% 62.99/63.06     inference(scs_inference,[],[25,289,17])).
% 62.99/63.06  cnf(1471,plain,
% 62.99/63.06     (E(f10(x14711,x14712),f10(x14712,x14711))),
% 62.99/63.06     inference(rename_variables,[],[25])).
% 62.99/63.06  cnf(1472,plain,
% 62.99/63.06     (P2(f10(a8,a1),a2)),
% 62.99/63.06     inference(scs_inference,[],[25,1471,147,289,17,16])).
% 62.99/63.06  cnf(1489,plain,
% 62.99/63.06     (E(f10(x14891,x14892),f10(x14892,x14891))),
% 62.99/63.06     inference(rename_variables,[],[25])).
% 62.99/63.06  cnf(1490,plain,
% 62.99/63.06     (P2(f10(f10(a2,a8),a8),f10(a8,a1))),
% 62.99/63.06     inference(scs_inference,[],[25,1489,205,311,16,17])).
% 62.99/63.06  cnf(1524,plain,
% 62.99/63.06     (P2(f10(a8,a1),f10(a2,a8))),
% 62.99/63.06     inference(scs_inference,[],[25,312,16])).
% 62.99/63.06  cnf(1560,plain,
% 62.99/63.06     (P2(f10(a8,f10(a2,a8)),f10(a1,a8))),
% 62.99/63.06     inference(scs_inference,[],[25,311,16])).
% 62.99/63.06  cnf(1561,plain,
% 62.99/63.06     (E(f10(x15611,x15612),f10(x15612,x15611))),
% 62.99/63.06     inference(rename_variables,[],[25])).
% 62.99/63.06  cnf(1563,plain,
% 62.99/63.06     (E(f10(x15631,x15632),f10(x15632,x15631))),
% 62.99/63.06     inference(rename_variables,[],[25])).
% 62.99/63.06  cnf(1565,plain,
% 62.99/63.06     (E(f10(x15651,x15652),f10(x15652,x15651))),
% 62.99/63.06     inference(rename_variables,[],[25])).
% 62.99/63.06  cnf(1566,plain,
% 62.99/63.06     (P1(f10(a8,a6),a1)),
% 62.99/63.06     inference(scs_inference,[],[25,1561,1563,1565,239,174,170,311,16,17,13,12])).
% 62.99/63.06  cnf(1596,plain,
% 62.99/63.06     (P2(f10(a8,a1),f10(f10(a2,a8),a8))),
% 62.99/63.06     inference(scs_inference,[],[25,331,16])).
% 62.99/63.06  cnf(1597,plain,
% 62.99/63.06     (E(f10(x15971,x15972),f10(x15972,x15971))),
% 62.99/63.06     inference(rename_variables,[],[25])).
% 62.99/63.06  cnf(1598,plain,
% 62.99/63.06     (P2(f10(a1,a8),f10(a8,a2))),
% 62.99/63.06     inference(scs_inference,[],[25,1597,312,331,16,17])).
% 62.99/63.06  cnf(1687,plain,
% 62.99/63.06     (E(f10(x16871,x16872),f10(x16872,x16871))),
% 62.99/63.06     inference(rename_variables,[],[25])).
% 62.99/63.06  cnf(1688,plain,
% 62.99/63.06     (P2(f10(a8,a2),f10(a2,a8))),
% 62.99/63.06     inference(scs_inference,[],[25,1687,636,17,16])).
% 62.99/63.06  cnf(1689,plain,
% 62.99/63.06     (E(f10(x16891,x16892),f10(x16892,x16891))),
% 62.99/63.06     inference(rename_variables,[],[25])).
% 62.99/63.06  cnf(1691,plain,
% 62.99/63.06     (E(f10(x16911,x16912),f10(x16912,x16911))),
% 62.99/63.06     inference(rename_variables,[],[25])).
% 62.99/63.06  cnf(1692,plain,
% 62.99/63.06     (P1(f10(a8,f10(a6,a8)),a6)),
% 62.99/63.06     inference(scs_inference,[],[25,1687,1689,1691,472,265,636,17,16,13,12])).
% 62.99/63.06  cnf(1704,plain,
% 62.99/63.06     (P2(f10(a8,a2),f10(f10(a2,a8),a8))),
% 62.99/63.06     inference(scs_inference,[],[25,631,16])).
% 62.99/63.06  cnf(1722,plain,
% 62.99/63.06     (P2(f10(f10(a2,a8),a8),f10(a8,a2))),
% 62.99/63.06     inference(scs_inference,[],[25,655,17])).
% 62.99/63.06  cnf(1740,plain,
% 62.99/63.06     (P2(f10(a8,a2),f10(a1,a8))),
% 62.99/63.06     inference(scs_inference,[],[25,957,16])).
% 62.99/63.06  cnf(1741,plain,
% 62.99/63.06     (E(f10(x17411,x17412),f10(x17412,x17411))),
% 62.99/63.06     inference(rename_variables,[],[25])).
% 62.99/63.06  cnf(1742,plain,
% 62.99/63.06     (P2(f10(a2,a8),f10(a8,a1))),
% 62.99/63.06     inference(scs_inference,[],[25,1741,957,16,17])).
% 62.99/63.06  cnf(1808,plain,
% 62.99/63.06     (P2(f10(a8,a2),f10(a8,a1))),
% 62.99/63.06     inference(scs_inference,[],[25,1742,16])).
% 62.99/63.06  cnf(1876,plain,
% 62.99/63.06     (P2(f10(a8,a2),f10(a8,a2))),
% 62.99/63.06     inference(scs_inference,[],[25,1688,17])).
% 62.99/63.06  cnf(1877,plain,
% 62.99/63.06     (E(f10(x18771,x18772),f10(x18772,x18771))),
% 62.99/63.06     inference(rename_variables,[],[25])).
% 62.99/63.06  cnf(1878,plain,
% 62.99/63.06     (P2(f10(a8,f10(a2,a8)),f10(a8,a1))),
% 62.99/63.06     inference(scs_inference,[],[25,1877,1688,1490,17,16])).
% 62.99/63.06  cnf(1899,plain,
% 62.99/63.06     (E(f10(x18991,x18992),f10(x18992,x18991))),
% 62.99/63.06     inference(rename_variables,[],[25])).
% 62.99/63.06  cnf(1900,plain,
% 62.99/63.06     (P2(f10(a8,a1),f10(a8,a2))),
% 62.99/63.06     inference(scs_inference,[],[25,1899,1596,1598,17,16])).
% 62.99/63.06  cnf(1953,plain,
% 62.99/63.06     (E(f10(x19531,x19532),f10(x19532,x19531))),
% 62.99/63.06     inference(rename_variables,[],[25])).
% 62.99/63.06  cnf(1954,plain,
% 62.99/63.06     (P1(a2,f10(a8,a1))),
% 62.99/63.06     inference(scs_inference,[],[25,1953,706,1338,12,13])).
% 62.99/63.06  cnf(1964,plain,
% 62.99/63.06     (E(f10(x19641,x19642),f10(x19642,x19641))),
% 62.99/63.06     inference(rename_variables,[],[25])).
% 62.99/63.06  cnf(1965,plain,
% 62.99/63.06     (P1(a1,f10(a8,a1))),
% 62.99/63.06     inference(scs_inference,[],[25,1964,704,1404,12,13])).
% 62.99/63.06  cnf(2782,plain,
% 62.99/63.06     (E(x27821,f10(x27821,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(2784,plain,
% 62.99/63.06     (E(x27841,f10(x27841,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(2786,plain,
% 62.99/63.06     (E(x27861,f10(x27861,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(2789,plain,
% 62.99/63.06     (~E(a11,f10(a5,a8))),
% 62.99/63.06     inference(scs_inference,[],[26,142,2782,2784,2786,316,315,24,264,288,17,16,12,13,3])).
% 62.99/63.06  cnf(2851,plain,
% 62.99/63.06     (P2(a1,f10(f10(a8,a1),a8))),
% 62.99/63.06     inference(scs_inference,[],[142,1453,17])).
% 62.99/63.06  cnf(2869,plain,
% 62.99/63.06     (E(x28691,f10(x28691,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(2871,plain,
% 62.99/63.06     (E(x28711,f10(x28711,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(2872,plain,
% 62.99/63.06     (P1(f10(f10(a1,a8),a8),a2)),
% 62.99/63.06     inference(scs_inference,[],[142,2869,2871,337,1470,1472,16,17,12])).
% 62.99/63.06  cnf(2903,plain,
% 62.99/63.06     (E(x29031,f10(x29031,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(2904,plain,
% 62.99/63.06     (P2(f10(a8,f10(a2,a8)),f10(f10(a1,a8),a8))),
% 62.99/63.06     inference(scs_inference,[],[142,2903,1524,1560,16,17])).
% 62.99/63.06  cnf(2905,plain,
% 62.99/63.06     (E(x29051,f10(x29051,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(2906,plain,
% 62.99/63.06     (P1(f10(f10(a8,a1),a8),a7)),
% 62.99/63.06     inference(scs_inference,[],[142,2903,2905,1457,1524,1560,16,17,12])).
% 62.99/63.06  cnf(2951,plain,
% 62.99/63.06     (P2(f10(f10(a2,a8),a8),f10(f10(a8,a2),a8))),
% 62.99/63.06     inference(scs_inference,[],[142,1722,17])).
% 62.99/63.06  cnf(2984,plain,
% 62.99/63.06     (E(x29841,f10(x29841,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(2985,plain,
% 62.99/63.06     (P2(f10(f10(a8,a2),a8),f10(a8,a2))),
% 62.99/63.06     inference(scs_inference,[],[142,2984,1876,17,16])).
% 62.99/63.06  cnf(2999,plain,
% 62.99/63.06     (E(x29991,f10(x29991,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(3001,plain,
% 62.99/63.06     (E(x30011,f10(x30011,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(3003,plain,
% 62.99/63.06     (E(x30031,f10(x30031,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(3004,plain,
% 62.99/63.06     (P1(a2,f10(f10(a8,a1),a8))),
% 62.99/63.06     inference(scs_inference,[],[142,2999,3001,3003,1954,1566,1878,17,16,12,13])).
% 62.99/63.06  cnf(3016,plain,
% 62.99/63.06     (E(x30161,f10(x30161,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(3017,plain,
% 62.99/63.06     (P2(f10(f10(a8,a1),a8),f10(a8,a2))),
% 62.99/63.06     inference(scs_inference,[],[142,3016,1900,17,16])).
% 62.99/63.06  cnf(3081,plain,
% 62.99/63.06     (P2(f10(f10(a8,a2),a8),f10(f10(a2,a8),a8))),
% 62.99/63.06     inference(scs_inference,[],[142,1704,16])).
% 62.99/63.06  cnf(3141,plain,
% 62.99/63.06     (E(x31411,f10(x31411,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(3142,plain,
% 62.99/63.06     (P2(f10(f10(a8,a2),a8),f10(a2,a8))),
% 62.99/63.06     inference(scs_inference,[],[142,3141,1688,1740,17,16])).
% 62.99/63.06  cnf(3157,plain,
% 62.99/63.06     (P2(f10(a2,a8),f10(f10(a8,a1),a8))),
% 62.99/63.06     inference(scs_inference,[],[142,1742,17])).
% 62.99/63.06  cnf(3174,plain,
% 62.99/63.06     (P2(f10(a8,a2),f10(f10(a8,a1),a8))),
% 62.99/63.06     inference(scs_inference,[],[142,1808,17])).
% 62.99/63.06  cnf(3264,plain,
% 62.99/63.06     (P2(f10(a8,a2),f10(f10(f10(a8,a1),a8),a8))),
% 62.99/63.06     inference(scs_inference,[],[142,3174,17])).
% 62.99/63.06  cnf(3280,plain,
% 62.99/63.06     (E(x32801,f10(x32801,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(3281,plain,
% 62.99/63.06     (P2(f10(a2,a8),f10(f10(f10(a8,a1),a8),a8))),
% 62.99/63.06     inference(scs_inference,[],[142,3280,3142,3157,16,17])).
% 62.99/63.06  cnf(3318,plain,
% 62.99/63.06     (E(x33181,f10(x33181,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(3320,plain,
% 62.99/63.06     (E(x33201,f10(x33201,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(3322,plain,
% 62.99/63.06     (E(x33221,f10(x33221,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(3323,plain,
% 62.99/63.06     (P1(a1,f10(f10(a8,a1),a8))),
% 62.99/63.06     inference(scs_inference,[],[142,3318,3320,3322,1692,1965,3017,2985,17,16,12,13])).
% 62.99/63.06  cnf(3393,plain,
% 62.99/63.06     (P2(a1,f10(f10(f10(a8,a1),a8),a8))),
% 62.99/63.06     inference(scs_inference,[],[142,2851,17])).
% 62.99/63.06  cnf(3693,plain,
% 62.99/63.06     (E(x36931,f10(x36931,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(3694,plain,
% 62.99/63.06     (P1(a2,f10(f10(f10(a8,a1),a8),a8))),
% 62.99/63.06     inference(scs_inference,[],[142,3693,2872,3004,12,13])).
% 62.99/63.06  cnf(3704,plain,
% 62.99/63.06     (E(x37041,f10(x37041,a8))),
% 62.99/63.06     inference(rename_variables,[],[142])).
% 62.99/63.06  cnf(3705,plain,
% 62.99/63.06     (P1(a1,f10(f10(f10(a8,a1),a8),a8))),
% 62.99/63.06     inference(scs_inference,[],[142,3704,2906,3323,12,13])).
% 62.99/63.06  cnf(3809,plain,
% 62.99/63.06     (P1(f10(a2,a8),f10(f10(f10(a8,a1),a8),a8))),
% 62.99/63.06     inference(scs_inference,[],[142,3694,12])).
% 62.99/63.06  cnf(4241,plain,
% 62.99/63.06     (P3(f10(a8,a8),f10(a6,f10(a6,f10(a6,a6))))),
% 62.99/63.06     inference(scs_inference,[],[218,537,35])).
% 62.99/63.06  cnf(4244,plain,
% 62.99/63.06     (~E(a2,f10(a8,a8))),
% 62.99/63.06     inference(scs_inference,[],[20,218,537,190,35,13])).
% 62.99/63.06  cnf(4273,plain,
% 62.99/63.06     (~E(f10(a2,a8),f10(a8,a8))),
% 62.99/63.06     inference(scs_inference,[],[1376,190,13])).
% 62.99/63.06  cnf(4390,plain,
% 62.99/63.06     (P3(a8,f4(x43901,f10(f10(x43901,a6),a8)))),
% 62.99/63.06     inference(scs_inference,[],[233,36])).
% 62.99/63.06  cnf(4394,plain,
% 62.99/63.06     (E(f3(a1,x43941),f3(a2,x43941))),
% 62.99/63.06     inference(scs_inference,[],[18,233,218,36,37,4])).
% 62.99/63.06  cnf(4395,plain,
% 62.99/63.06     (E(f3(x43951,a1),f3(x43951,a2))),
% 62.99/63.06     inference(scs_inference,[],[18,233,218,36,37,4,5])).
% 62.99/63.06  cnf(4396,plain,
% 62.99/63.06     (E(f9(a1,x43961),f9(a2,x43961))),
% 62.99/63.06     inference(scs_inference,[],[18,233,218,36,37,4,5,8])).
% 62.99/63.06  cnf(4397,plain,
% 62.99/63.06     (E(f9(x43971,a1),f9(x43971,a2))),
% 62.99/63.06     inference(scs_inference,[],[18,233,218,36,37,4,5,8,9])).
% 62.99/63.06  cnf(4398,plain,
% 62.99/63.06     (E(f4(a1,x43981),f4(a2,x43981))),
% 62.99/63.06     inference(scs_inference,[],[18,233,218,36,37,4,5,8,9,10])).
% 62.99/63.06  cnf(4399,plain,
% 62.99/63.06     (E(f4(x43991,a1),f4(x43991,a2))),
% 62.99/63.06     inference(scs_inference,[],[18,233,218,36,37,4,5,8,9,10,11])).
% 62.99/63.06  cnf(4401,plain,
% 62.99/63.06     (P3(x44011,f10(f10(x44011,a6),a8))),
% 62.99/63.06     inference(rename_variables,[],[233])).
% 62.99/63.06  cnf(4403,plain,
% 62.99/63.06     (E(f10(a1,x44031),f10(a2,x44031))),
% 62.99/63.06     inference(scs_inference,[],[18,233,218,36,37,4,5,8,9,10,11,30,6])).
% 62.99/63.06  cnf(4404,plain,
% 62.99/63.06     (P1(a8,a6)),
% 62.99/63.06     inference(scs_inference,[],[18,54,233,218,36,37,4,5,8,9,10,11,30,6,29])).
% 62.99/63.06  cnf(4406,plain,
% 62.99/63.06     (P3(a8,f10(f10(a2,a8),a8))),
% 62.99/63.06     inference(scs_inference,[],[18,54,233,1391,218,36,37,4,5,8,9,10,11,30,6,29,31])).
% 62.99/63.07  cnf(4408,plain,
% 62.99/63.07     (P1(f3(a2,a1),f10(a5,a8))),
% 62.99/63.07     inference(scs_inference,[],[18,54,233,1391,1296,218,36,37,4,5,8,9,10,11,30,6,29,31,27])).
% 62.99/63.07  cnf(4415,plain,
% 62.99/63.07     (~E(a8,a2)),
% 62.99/63.07     inference(scs_inference,[],[18,54,61,4241,233,4401,1391,1296,218,36,37,4,5,8,9,10,11,30,6,29,31,27,32,7,28,2])).
% 62.99/63.07  cnf(4417,plain,
% 62.99/63.07     (P3(x44171,f10(f10(x44171,a6),a8))),
% 62.99/63.07     inference(rename_variables,[],[233])).
% 62.99/63.07  cnf(4419,plain,
% 62.99/63.07     (~P3(f10(a6,a6),f10(a8,a8))),
% 62.99/63.07     inference(scs_inference,[],[18,54,61,144,4241,233,4401,1391,1296,218,24,36,37,4,5,8,9,10,11,30,6,29,31,27,32,7,28,2,35,15])).
% 62.99/63.07  cnf(4420,plain,
% 62.99/63.07     (E(f10(x44201,a8),x44201)),
% 62.99/63.07     inference(rename_variables,[],[24])).
% 62.99/63.07  cnf(4421,plain,
% 62.99/63.07     (~P1(f10(a6,a8),a8)),
% 62.99/63.07     inference(scs_inference,[],[18,54,61,144,4241,233,4401,1391,1296,218,51,24,4420,36,37,4,5,8,9,10,11,30,6,29,31,27,32,7,28,2,35,15,12])).
% 62.99/63.07  cnf(4422,plain,
% 62.99/63.07     (E(f10(x44221,a8),x44221)),
% 62.99/63.07     inference(rename_variables,[],[24])).
% 62.99/63.07  cnf(4423,plain,
% 62.99/63.07     (~P3(f10(a6,a8),f10(a8,a8))),
% 62.99/63.07     inference(scs_inference,[],[18,54,61,144,193,4241,233,4401,1391,1296,218,51,24,4420,4422,36,37,4,5,8,9,10,11,30,6,29,31,27,32,7,28,2,35,15,12,14])).
% 62.99/63.07  cnf(4424,plain,
% 62.99/63.07     (E(f10(x44241,a8),x44241)),
% 62.99/63.07     inference(rename_variables,[],[24])).
% 62.99/63.07  cnf(4428,plain,
% 62.99/63.07     (~P1(a6,f10(f10(a8,a8),a8))),
% 62.99/63.07     inference(scs_inference,[],[18,54,61,144,193,4241,233,4401,4417,1391,1296,218,51,190,24,4420,4422,4424,36,37,4,5,8,9,10,11,30,6,29,31,27,32,7,28,2,35,15,12,14,34,13])).
% 62.99/63.07  cnf(4430,plain,
% 62.99/63.07     (~P1(f10(a6,a6),f10(a8,a8))),
% 62.99/63.07     inference(scs_inference,[],[18,54,61,144,193,214,4241,233,4401,4417,1391,1296,218,51,190,24,4420,4422,4424,36,37,4,5,8,9,10,11,30,6,29,31,27,32,7,28,2,35,15,12,14,34,13,33])).
% 62.99/63.07  cnf(4442,plain,
% 62.99/63.07     (E(f10(x44421,f4(x44421,f10(x44421,a6))),f10(x44421,a6))),
% 62.99/63.07     inference(scs_inference,[],[56,37])).
% 62.99/63.07  cnf(4449,plain,
% 62.99/63.07     (P3(a8,f4(a8,f10(f10(a2,a8),a8)))),
% 62.99/63.07     inference(scs_inference,[],[4394,4406,4390,56,37,11,4,30,9,36])).
% 62.99/63.07  cnf(4452,plain,
% 62.99/63.07     (P1(f10(x44521,x44522),f10(x44522,x44521))),
% 62.99/63.07     inference(scs_inference,[],[283,4394,4406,4390,56,37,11,4,30,9,36,5,29])).
% 62.99/63.07  cnf(4456,plain,
% 62.99/63.07     (P3(a8,f10(a2,a8))),
% 62.99/63.07     inference(scs_inference,[],[283,4394,4406,4390,56,1376,37,11,4,30,9,36,5,29,10,8,31])).
% 62.99/63.07  cnf(4458,plain,
% 62.99/63.07     (P1(f3(a1,x44581),f3(a2,x44581))),
% 62.99/63.07     inference(scs_inference,[],[283,4394,4406,4390,56,1376,37,11,4,30,9,36,5,29,10,8,31,27])).
% 62.99/63.07  cnf(4466,plain,
% 62.99/63.07     (~E(a8,a1)),
% 62.99/63.07     inference(scs_inference,[],[1325,283,4394,4406,4390,56,1376,37,11,4,30,9,36,5,29,10,8,31,27,6,32,7,28,2])).
% 62.99/63.07  cnf(4469,plain,
% 62.99/63.07     (~P3(f10(f10(a6,a6),a2),f10(a1,a8))),
% 62.99/63.07     inference(scs_inference,[],[1325,4404,228,283,4394,4406,4390,260,56,1376,37,11,4,30,9,36,5,29,10,8,31,27,6,32,7,28,2,40,35])).
% 62.99/63.07  cnf(4472,plain,
% 62.99/63.07     (P1(f3(a2,x44721),f3(a1,x44721))),
% 62.99/63.07     inference(scs_inference,[],[1325,4404,228,283,4394,4406,4390,260,56,1376,43,37,11,4,30,9,36,5,29,10,8,31,27,6,32,7,28,2,40,35,12])).
% 62.99/63.07  cnf(4473,plain,
% 62.99/63.07     (P1(x44731,x44731)),
% 62.99/63.07     inference(rename_variables,[],[43])).
% 62.99/63.07  cnf(4474,plain,
% 62.99/63.07     (~P3(f10(a5,a8),f3(a1,a1))),
% 62.99/63.07     inference(scs_inference,[],[1325,4404,228,283,1301,4394,4406,4390,260,56,1376,43,37,11,4,30,9,36,5,29,10,8,31,27,6,32,7,28,2,40,35,12,15])).
% 62.99/63.07  cnf(4475,plain,
% 62.99/63.07     (E(f3(a1,x44751),f3(a2,x44751))),
% 62.99/63.07     inference(rename_variables,[],[4394])).
% 62.99/63.07  cnf(4476,plain,
% 62.99/63.07     (~P3(f3(a1,a1),f10(a5,a8))),
% 62.99/63.07     inference(scs_inference,[],[1325,4404,228,283,1298,1301,4394,4475,4406,4390,260,56,1376,43,37,11,4,30,9,36,5,29,10,8,31,27,6,32,7,28,2,40,35,12,15,14])).
% 62.99/63.07  cnf(4480,plain,
% 62.99/63.07     (P1(f3(x44801,a1),f3(x44801,a2))),
% 62.99/63.07     inference(scs_inference,[],[1325,4404,228,283,1298,1301,4394,4475,4395,4406,4390,260,56,1376,43,4473,37,11,4,30,9,36,5,29,10,8,31,27,6,32,7,28,2,40,35,12,15,14,34,13])).
% 62.99/63.07  cnf(4482,plain,
% 62.99/63.07     (~P1(f10(a6,a8),f10(a8,a8))),
% 62.99/63.07     inference(scs_inference,[],[1325,4404,228,283,1298,1301,4423,4394,4475,4395,4406,4390,474,260,56,1376,43,4473,37,11,4,30,9,36,5,29,10,8,31,27,6,32,7,28,2,40,35,12,15,14,34,13,33])).
% 62.99/63.07  cnf(4485,plain,
% 62.99/63.07     (~E(f10(a8,a8),a2)),
% 62.99/63.07     inference(scs_inference,[],[1325,4415,4404,228,283,1298,1301,4423,4394,4475,4395,4406,4390,474,260,56,1376,43,4473,142,37,11,4,30,9,36,5,29,10,8,31,27,6,32,7,28,2,40,35,12,15,14,34,13,33,3])).
% 62.99/63.07  cnf(4487,plain,
% 62.99/63.07     (E(f3(f10(a2,a8),f10(a2,a8)),a11)),
% 62.99/63.07     inference(scs_inference,[],[1325,4415,4404,228,283,1298,1301,4423,4394,4475,4395,4406,3264,4390,474,3809,260,56,1376,43,4473,142,37,11,4,30,9,36,5,29,10,8,31,27,6,32,7,28,2,40,35,12,15,14,34,13,33,3,38])).
% 62.99/63.07  cnf(4494,plain,
% 62.99/63.07     (E(f10(a8,f4(a8,f10(a2,a8))),f10(a2,a8))),
% 62.99/63.07     inference(scs_inference,[],[4456,37])).
% 62.99/63.07  cnf(4497,plain,
% 62.99/63.07     (P1(f10(a8,a8),f10(a6,a6))),
% 62.99/63.07     inference(scs_inference,[],[4419,4456,4396,37,11,29])).
% 62.99/63.07  cnf(4499,plain,
% 62.99/63.07     (P3(a8,f4(a8,f10(a2,a8)))),
% 62.99/63.07     inference(scs_inference,[],[4419,4456,4396,37,11,29,36])).
% 62.99/63.07  cnf(4504,plain,
% 62.99/63.07     (P3(a8,a1)),
% 62.99/63.07     inference(scs_inference,[],[4419,4456,4396,4449,1321,37,11,29,36,30,4,31])).
% 62.99/63.07  cnf(4506,plain,
% 62.99/63.07     (P1(f9(a1,x45061),f9(a2,x45061))),
% 62.99/63.07     inference(scs_inference,[],[4419,4456,4396,4449,1321,37,11,29,36,30,4,31,27])).
% 62.99/63.07  cnf(4516,plain,
% 62.99/63.07     (~E(a8,f10(a2,a8))),
% 62.99/63.07     inference(scs_inference,[],[4419,4456,4396,4449,1321,37,11,29,36,30,4,31,27,5,10,9,6,8,32,7,28])).
% 62.99/63.07  cnf(4521,plain,
% 62.99/63.07     (~P3(f10(a2,a8),f10(a8,a8))),
% 62.99/63.07     inference(scs_inference,[],[97,4419,4452,4456,4396,4449,1321,168,37,11,29,36,30,4,31,27,5,10,9,6,8,32,7,28,2,40,35])).
% 62.99/63.07  cnf(4525,plain,
% 62.99/63.07     (E(f10(x45251,f4(x45251,f10(x45251,a6))),f10(x45251,a6))),
% 62.99/63.07     inference(rename_variables,[],[4442])).
% 62.99/63.07  cnf(4527,plain,
% 62.99/63.07     (E(f10(x45271,a8),x45271)),
% 62.99/63.07     inference(rename_variables,[],[24])).
% 62.99/63.07  cnf(4532,plain,
% 62.99/63.07     (~P1(f10(a6,a6),f10(f10(a8,a8),a8))),
% 62.99/63.07     inference(scs_inference,[],[97,767,4419,4430,4452,4456,4396,4442,4525,4449,1321,24,4527,168,37,11,29,36,30,4,31,27,5,10,9,6,8,32,7,28,2,40,35,12,15,14,34,13])).
% 62.99/63.07  cnf(4534,plain,
% 62.99/63.07     (~P1(f10(a6,a6),a8)),
% 62.99/63.07     inference(scs_inference,[],[97,412,767,4419,4430,4452,4456,4396,4442,4525,4449,144,1321,24,4527,168,37,11,29,36,30,4,31,27,5,10,9,6,8,32,7,28,2,40,35,12,15,14,34,13,33])).
% 62.99/63.07  cnf(4542,plain,
% 62.99/63.07     (E(f10(a8,f4(a8,a1)),a1)),
% 62.99/63.07     inference(scs_inference,[],[4504,37])).
% 62.99/63.07  cnf(4544,plain,
% 62.99/63.07     (P3(a8,f4(a8,a1))),
% 62.99/63.07     inference(scs_inference,[],[4504,37,36])).
% 62.99/63.07  cnf(4546,plain,
% 62.99/63.07     (P3(a8,a2)),
% 62.99/63.07     inference(scs_inference,[],[4504,20,37,36,31])).
% 62.99/63.07  cnf(4549,plain,
% 62.99/63.07     (P1(f10(a8,a8),f10(a2,a8))),
% 62.99/63.07     inference(scs_inference,[],[4504,4521,4397,20,37,36,31,4,29])).
% 62.99/63.07  cnf(4554,plain,
% 62.99/63.07     (P1(f9(x45541,a1),f9(x45541,a2))),
% 62.99/63.07     inference(scs_inference,[],[4504,4521,4397,4499,20,37,36,31,4,29,30,11,27])).
% 62.99/63.07  cnf(4561,plain,
% 62.99/63.07     (P1(a8,a1)),
% 62.99/63.07     inference(scs_inference,[],[4504,4521,4397,4499,20,37,36,31,4,29,30,11,27,10,9,5,6,8,32])).
% 62.99/63.07  cnf(4573,plain,
% 62.99/63.07     (E(f9(x45731,a1),f9(x45731,a2))),
% 62.99/63.07     inference(rename_variables,[],[4397])).
% 62.99/63.07  cnf(4574,plain,
% 62.99/63.07     (P1(f9(a1,x45741),f9(a2,x45741))),
% 62.99/63.07     inference(rename_variables,[],[4506])).
% 62.99/63.07  cnf(4575,plain,
% 62.99/63.07     (~P3(f10(f9(x45751,a2),a8),f9(x45751,a1))),
% 62.99/63.07     inference(scs_inference,[],[4504,380,776,4497,4521,4397,4573,4506,4499,255,137,20,37,36,31,4,29,30,11,27,10,9,5,6,8,32,7,28,2,40,35,12,15])).
% 62.99/63.07  cnf(4577,plain,
% 62.99/63.07     (~P3(f9(x45771,a1),f10(f9(x45771,a2),a8))),
% 62.99/63.07     inference(scs_inference,[],[4504,380,776,4497,4521,4397,4573,4506,4499,255,137,20,168,37,36,31,4,29,30,11,27,10,9,5,6,8,32,7,28,2,40,35,12,15,14])).
% 62.99/63.07  cnf(4581,plain,
% 62.99/63.07     (~P1(f10(a2,a8),f10(a8,a8))),
% 62.99/63.07     inference(scs_inference,[],[4504,380,776,4497,4521,4397,4573,4506,4499,4273,255,137,20,168,37,36,31,4,29,30,11,27,10,9,5,6,8,32,7,28,2,40,35,12,15,14,34,33])).
% 62.99/63.07  cnf(4586,plain,
% 62.99/63.07     (~E(f10(a8,a8),a1)),
% 62.99/63.07     inference(scs_inference,[],[4504,4466,380,776,4497,4521,4397,4573,4506,4574,4499,4273,255,137,20,168,142,37,36,31,4,29,30,11,27,10,9,5,6,8,32,7,28,2,40,35,12,15,14,34,33,13,3])).
% 62.99/63.07  cnf(4596,plain,
% 62.99/63.07     (E(f10(a8,f4(a8,a2)),a2)),
% 62.99/63.07     inference(scs_inference,[],[4546,37])).
% 62.99/63.07  cnf(4600,plain,
% 62.99/63.07     (P3(a8,f4(a8,a2))),
% 62.99/63.07     inference(scs_inference,[],[4546,4544,37,30,36])).
% 62.99/63.07  cnf(4603,plain,
% 62.99/63.07     (P1(f10(a5,a8),f3(a1,a1))),
% 62.99/63.07     inference(scs_inference,[],[4546,4476,4398,4544,37,30,36,4,29])).
% 62.99/63.07  cnf(4606,plain,
% 62.99/63.07     (P1(f4(a1,x46061),f4(a2,x46061))),
% 62.99/63.07     inference(scs_inference,[],[4546,4476,4398,4544,37,30,36,4,29,11,27])).
% 62.99/63.07  cnf(4613,plain,
% 62.99/63.07     (P1(a8,a2)),
% 62.99/63.07     inference(scs_inference,[],[4546,4476,4398,4544,37,30,36,4,29,11,27,9,10,5,6,8,32])).
% 62.99/63.07  cnf(4616,plain,
% 62.99/63.07     (~E(a8,f4(a8,a1))),
% 62.99/63.07     inference(scs_inference,[],[4546,4476,4398,4544,37,30,36,4,29,11,27,9,10,5,6,8,32,7,28])).
% 62.99/63.07  cnf(4619,plain,
% 62.99/63.07     (P1(f10(a8,a8),f10(a2,a1))),
% 62.99/63.07     inference(scs_inference,[],[4546,4561,402,4476,4398,4544,37,30,36,4,29,11,27,9,10,5,6,8,32,7,28,2,40])).
% 62.99/63.07  cnf(4621,plain,
% 62.99/63.07     (~P3(a2,f10(a8,a8))),
% 62.99/63.07     inference(scs_inference,[],[4546,4561,402,4476,4398,4544,168,37,30,36,4,29,11,27,9,10,5,6,8,32,7,28,2,40,35])).
% 62.99/63.07  cnf(4627,plain,
% 62.99/63.07     (E(f10(x46271,a8),x46271)),
% 62.99/63.07     inference(rename_variables,[],[24])).
% 62.99/63.07  cnf(4628,plain,
% 62.99/63.07     (~P3(f3(a1,a1),f3(a2,a1))),
% 62.99/63.07     inference(scs_inference,[],[4546,4561,402,4482,4476,4398,4544,2904,1296,24,25,168,37,30,36,4,29,11,27,9,10,5,6,8,32,7,28,2,40,35,17,12,15])).
% 62.99/63.07  cnf(4630,plain,
% 62.99/63.07     (E(f10(x46301,a8),x46301)),
% 62.99/63.07     inference(rename_variables,[],[24])).
% 62.99/63.07  cnf(4631,plain,
% 62.99/63.07     (~E(f10(f3(a1,a1),a2),f10(a5,a8))),
% 62.99/63.07     inference(scs_inference,[],[4546,4561,402,4482,4476,4398,4544,2904,1296,24,4627,25,168,37,30,36,4,29,11,27,9,10,5,6,8,32,7,28,2,40,35,17,12,15,14,34])).
% 62.99/63.07  cnf(4633,plain,
% 62.99/63.07     (~P1(a2,f10(a8,a8))),
% 62.99/63.07     inference(scs_inference,[],[4546,4561,402,4482,4244,4476,4398,4544,2904,1296,24,4627,25,168,37,30,36,4,29,11,27,9,10,5,6,8,32,7,28,2,40,35,17,12,15,14,34,33])).
% 62.99/63.07  cnf(4639,plain,
% 62.99/63.07     (E(f3(a1,a1),a11)),
% 62.99/63.07     inference(scs_inference,[],[4546,4561,402,4482,4244,4476,4398,4544,2904,966,3281,3705,1296,1321,24,4627,4630,25,168,37,30,36,4,29,11,27,9,10,5,6,8,32,7,28,2,40,35,17,12,15,14,34,33,13,3,38])).
% 62.99/63.07  cnf(4641,plain,
% 62.99/63.07     (~E(a7,f10(a8,a8))),
% 62.99/63.07     inference(scs_inference,[],[4546,4561,402,4482,4244,4476,4398,4544,2904,966,3281,3705,1296,1321,24,4627,4630,25,168,37,30,36,4,29,11,27,9,10,5,6,8,32,7,28,2,40,35,17,12,15,14,34,33,13,3,38,130])).
% 62.99/63.07  cnf(4653,plain,
% 62.99/63.07     (P3(a8,f4(a8,f4(a8,a2)))),
% 62.99/63.07     inference(scs_inference,[],[4399,4600,37,30,27,36])).
% 62.99/63.07  cnf(4667,plain,
% 62.99/63.07     (~E(a8,f4(a8,a2))),
% 62.99/63.07     inference(scs_inference,[],[285,4399,4600,37,30,27,36,11,4,29,5,9,10,32,6,8,7,28])).
% 62.99/63.07  cnf(4678,plain,
% 62.99/63.07     (~P3(a1,f10(a8,a8))),
% 62.99/63.07     inference(scs_inference,[],[18,4613,427,285,4399,4621,4633,4600,255,225,37,30,27,36,11,4,29,5,9,10,32,6,8,7,28,2,40,35,12,15,14])).
% 62.99/63.07  cnf(4681,plain,
% 62.99/63.07     (E(f10(a5,a8),f3(a1,a1))),
% 62.99/63.07     inference(scs_inference,[],[18,4613,427,4603,285,4399,4474,4621,4633,4600,255,225,37,30,27,36,11,4,29,5,9,10,32,6,8,7,28,2,40,35,12,15,14,34,33])).
% 62.99/63.07  cnf(4686,plain,
% 62.99/63.07     (~E(f10(a8,a8),f10(a6,a6))),
% 62.99/63.07     inference(scs_inference,[],[18,4613,212,427,4603,285,4399,4474,4606,4621,4633,4600,255,225,142,37,30,27,36,11,4,29,5,9,10,32,6,8,7,28,2,40,35,12,15,14,34,33,13,3])).
% 62.99/63.07  cnf(4688,plain,
% 62.99/63.07     (E(f3(a2,a2),a11)),
% 62.99/63.07     inference(scs_inference,[],[18,4613,212,427,4603,285,4399,4474,4606,4621,4633,4600,3393,3694,255,225,20,142,37,30,27,36,11,4,29,5,9,10,32,6,8,7,28,2,40,35,12,15,14,34,33,13,3,38])).
% 62.99/63.07  cnf(4699,plain,
% 62.99/63.07     (P3(a8,f4(a8,f4(a8,f4(a8,a2))))),
% 62.99/63.07     inference(scs_inference,[],[4653,4544,37,36])).
% 62.99/63.07  cnf(4701,plain,
% 62.99/63.07     (P1(f10(a8,a8),a1)),
% 62.99/63.07     inference(scs_inference,[],[4678,4653,4544,37,36,29])).
% 62.99/63.07  cnf(4722,plain,
% 62.99/63.07     (~P3(f4(a8,f4(a8,a2)),f10(a8,a8))),
% 62.99/63.07     inference(scs_inference,[],[1305,4549,4681,4678,4639,4653,4544,168,37,36,29,30,27,4,11,10,32,5,9,6,8,7,28,2,40,35])).
% 62.99/63.07  cnf(4726,plain,
% 62.99/63.07     (~P3(f3(a1,a1),a5)),
% 62.99/63.07     inference(scs_inference,[],[1305,4549,4581,4681,4628,4678,4639,4653,4494,4544,86,168,37,36,29,30,27,4,11,10,32,5,9,6,8,7,28,2,40,35,12,15])).
% 62.99/63.07  cnf(4730,plain,
% 62.99/63.07     (P3(f10(a8,a8),f10(a6,a6))),
% 62.99/63.07     inference(scs_inference,[],[1305,4549,4581,4686,4681,4628,4678,4639,4653,4542,4494,4497,4544,86,168,37,36,29,30,27,4,11,10,32,5,9,6,8,7,28,2,40,35,12,15,14,34,33])).
% 62.99/63.07  cnf(4732,plain,
% 62.99/63.07     (~P1(f10(a2,a8),f10(f10(a8,a8),a8))),
% 62.99/63.07     inference(scs_inference,[],[1305,4549,4581,4686,4681,4628,4678,4639,4653,4542,4494,4497,4544,86,24,168,37,36,29,30,27,4,11,10,32,5,9,6,8,7,28,2,40,35,12,15,14,34,33,13])).
% 62.99/63.07  cnf(4741,plain,
% 62.99/63.07     (E(f10(f10(a8,a8),f4(f10(a8,a8),f10(a6,a6))),f10(a6,a6))),
% 62.99/63.07     inference(scs_inference,[],[4730,37])).
% 62.99/63.07  cnf(4745,plain,
% 62.99/63.07     (P3(a8,f4(f10(a8,a8),f10(a6,a6)))),
% 62.99/63.07     inference(scs_inference,[],[4730,4699,37,30,36])).
% 62.99/63.07  cnf(4749,plain,
% 62.99/63.07     (E(f3(f3(a2,a2),x47491),f3(a11,x47491))),
% 62.99/63.07     inference(scs_inference,[],[4730,4726,4688,4699,37,30,36,29,4])).
% 62.99/63.07  cnf(4752,plain,
% 62.99/63.07     (E(f4(x47521,f3(a2,a2)),f4(x47521,a11))),
% 62.99/63.07     inference(scs_inference,[],[4730,4726,4688,4699,37,30,36,29,4,27,11])).
% 62.99/63.07  cnf(4755,plain,
% 62.99/63.07     (E(f3(x47551,f3(a2,a2)),f3(x47551,a11))),
% 62.99/63.07     inference(scs_inference,[],[4730,4726,4688,4699,37,30,36,29,4,27,11,32,5])).
% 62.99/63.07  cnf(4757,plain,
% 62.99/63.07     (E(f9(x47571,f3(a2,a2)),f9(x47571,a11))),
% 62.99/63.07     inference(scs_inference,[],[4730,4726,4688,4699,37,30,36,29,4,27,11,32,5,10,9])).
% 62.99/63.07  cnf(4759,plain,
% 62.99/63.07     (E(f9(f3(a2,a2),x47591),f9(a11,x47591))),
% 62.99/63.07     inference(scs_inference,[],[4730,4726,4688,4699,37,30,36,29,4,27,11,32,5,10,9,6,8])).
% 62.99/63.07  cnf(4769,plain,
% 62.99/63.07     (~P3(f10(a11,a8),f3(a2,a2))),
% 62.99/63.07     inference(scs_inference,[],[2789,4730,4408,4726,4688,4699,202,255,37,30,36,29,4,27,11,32,5,10,9,6,8,7,28,2,40,35,15])).
% 62.99/63.07  cnf(4773,plain,
% 62.99/63.07     (~P3(f3(a2,a2),f10(a11,a8))),
% 62.99/63.07     inference(scs_inference,[],[2789,4730,4408,4472,4726,4688,4699,202,255,168,37,30,36,29,4,27,11,32,5,10,9,6,8,7,28,2,40,35,15,12,14])).
% 62.99/63.07  cnf(4775,plain,
% 62.99/63.07     (~P1(f10(f10(a6,a6),a6),a8)),
% 62.99/63.07     inference(scs_inference,[],[2789,4730,4408,4472,4726,4688,565,799,4699,202,255,168,37,30,36,29,4,27,11,32,5,10,9,6,8,7,28,2,40,35,15,12,14,33])).
% 62.99/63.07  cnf(4777,plain,
% 62.99/63.07     (P1(f10(a8,a8),a2)),
% 62.99/63.07     inference(scs_inference,[],[18,2789,4730,4408,4472,4701,4726,4688,565,799,4699,202,255,168,37,30,36,29,4,27,11,32,5,10,9,6,8,7,28,2,40,35,15,12,14,33,13])).
% 62.99/63.07  cnf(4778,plain,
% 62.99/63.07     (~E(f10(a11,a8),f10(a5,a8))),
% 62.99/63.07     inference(scs_inference,[],[18,2789,4730,4408,4472,4701,4726,4688,565,799,4699,202,255,168,142,37,30,36,29,4,27,11,32,5,10,9,6,8,7,28,2,40,35,15,12,14,33,13,3])).
% 62.99/63.07  cnf(4788,plain,
% 62.99/63.07     (P1(f10(a11,a8),f3(a2,a2))),
% 62.99/63.07     inference(scs_inference,[],[4773,62,37,29])).
% 62.99/63.07  cnf(4794,plain,
% 62.99/63.07     (P3(a8,f4(a8,f4(f10(a8,a8),f10(a6,a6))))),
% 62.99/63.07     inference(scs_inference,[],[4773,4749,4745,62,37,29,27,30,36])).
% 62.99/63.07  cnf(4811,plain,
% 62.99/63.07     (~P3(f4(f10(a8,a8),f10(a6,a6)),f10(a8,a8))),
% 62.99/63.07     inference(scs_inference,[],[4641,4458,4773,4749,4745,4487,62,168,37,29,27,30,36,11,4,32,10,5,9,6,8,28,7,2,40,35])).
% 62.99/63.07  cnf(4818,plain,
% 62.99/63.07     (~P3(f10(a11,a8),f3(a2,a1))),
% 62.99/63.07     inference(scs_inference,[],[4641,4421,4458,4773,4769,4749,4745,2951,4487,4395,62,24,25,168,37,29,27,30,36,11,4,32,10,5,9,6,8,28,7,2,40,35,17,12,15])).
% 62.99/63.07  cnf(4819,plain,
% 62.99/63.07     (E(f3(x48191,a1),f3(x48191,a2))),
% 62.99/63.07     inference(rename_variables,[],[4395])).
% 62.99/63.07  cnf(4822,plain,
% 62.99/63.07     (~P3(f3(a2,a1),f10(a11,a8))),
% 62.99/63.07     inference(scs_inference,[],[4641,4421,4458,4773,4769,4749,4745,2951,4487,4395,4819,62,24,25,168,37,29,27,30,36,11,4,32,10,5,9,6,8,28,7,2,40,35,17,12,15,34,14])).
% 62.99/63.07  cnf(4824,plain,
% 62.99/63.07     (P3(f10(a8,a8),a2)),
% 62.99/63.07     inference(scs_inference,[],[4641,4421,4458,4773,4485,4769,4777,4749,4745,2951,4487,4395,4819,62,24,25,168,37,29,27,30,36,11,4,32,10,5,9,6,8,28,7,2,40,35,17,12,15,34,14,33])).
% 62.99/63.07  cnf(4838,plain,
% 62.99/63.07     (P3(a8,f4(f10(a8,a8),a2))),
% 62.99/63.07     inference(scs_inference,[],[4824,4752,37,27,36])).
% 62.99/63.07  cnf(4842,plain,
% 62.99/63.07     (P1(f10(a11,a8),f3(a2,a1))),
% 62.99/63.07     inference(scs_inference,[],[4822,4824,4752,4794,37,27,36,30,29])).
% 62.99/63.07  cnf(4856,plain,
% 62.99/63.07     (~E(f10(a5,a8),f10(a11,a8))),
% 62.99/63.07     inference(scs_inference,[],[4778,4822,4824,4752,4794,4596,37,27,36,30,29,11,4,32,5,10,9,8,6,28,7,2])).
% 62.99/63.07  cnf(4865,plain,
% 62.99/63.07     (E(f4(x48651,f3(a2,a2)),f4(x48651,a11))),
% 62.99/63.07     inference(rename_variables,[],[4752])).
% 62.99/63.07  cnf(4871,plain,
% 62.99/63.07     (E(f10(a11,a8),f3(a2,a1))),
% 62.99/63.07     inference(scs_inference,[],[4778,4822,4788,4818,4824,4752,4865,4794,4596,4606,4499,233,255,168,37,27,36,30,29,11,4,32,5,10,9,8,6,28,7,2,40,35,15,12,34,14,33])).
% 62.99/63.07  cnf(4882,plain,
% 62.99/63.07     (E(f10(a8,f4(a8,a6)),a6)),
% 62.99/63.07     inference(scs_inference,[],[23,37])).
% 62.99/63.07  cnf(4884,plain,
% 62.99/63.07     (P3(a8,f4(a8,f4(f10(a8,a8),a2)))),
% 62.99/63.07     inference(scs_inference,[],[4838,23,37,36])).
% 62.99/63.07  cnf(4888,plain,
% 62.99/63.07     (P1(f3(x48881,f3(a2,a2)),f3(x48881,a11))),
% 62.99/63.07     inference(scs_inference,[],[4811,4755,4838,23,37,36,29,27])).
% 62.99/63.07  cnf(4907,plain,
% 62.99/63.07     (~P3(f4(f10(a8,a8),a2),f10(a8,a8))),
% 62.99/63.07     inference(scs_inference,[],[4842,4871,4667,4811,4755,4838,168,23,37,36,29,27,30,11,4,32,10,5,6,8,9,28,7,2,40,35])).
% 62.99/63.07  cnf(4911,plain,
% 62.99/63.07     (E(f10(x49111,a8),x49111)),
% 62.99/63.07     inference(rename_variables,[],[24])).
% 62.99/63.07  cnf(4916,plain,
% 62.99/63.07     (E(f10(x49161,a8),x49161)),
% 62.99/63.07     inference(rename_variables,[],[24])).
% 62.99/63.07  cnf(4917,plain,
% 62.99/63.07     (P3(f10(a8,a8),a1)),
% 62.99/63.07     inference(scs_inference,[],[4842,4871,4586,4534,4667,4811,4755,4838,4741,48,4701,24,4911,168,23,37,36,29,27,30,11,4,32,10,5,6,8,9,28,7,2,40,35,15,12,34,14,33])).
% 62.99/63.07  cnf(4923,plain,
% 62.99/63.07     (E(f3(a6,a6),a11)),
% 62.99/63.07     inference(scs_inference,[],[4842,4871,4586,4534,4667,4811,4755,4532,4838,4741,762,3081,48,4701,1391,24,4911,4916,43,168,23,37,36,29,27,30,11,4,32,10,5,6,8,9,28,7,2,40,35,15,12,34,14,33,13,3,38])).
% 62.99/63.07  cnf(4935,plain,
% 62.99/63.07     (P3(a8,f4(f10(a8,a8),a1))),
% 62.99/63.07     inference(scs_inference,[],[4917,4907,4884,37,29,30,36])).
% 62.99/63.07  cnf(4957,plain,
% 62.99/63.07     (~P3(f10(a11,a8),f3(a6,a6))),
% 62.99/63.07     inference(scs_inference,[],[4480,4917,4616,4923,4907,4884,260,255,37,29,30,36,27,11,4,32,5,10,9,6,8,28,7,2,40,35,15])).
% 62.99/63.07  cnf(4963,plain,
% 62.99/63.07     (~P3(f3(a6,a6),f10(a11,a8))),
% 62.99/63.07     inference(scs_inference,[],[4480,4917,4616,4923,4907,4884,4544,260,255,43,168,37,29,30,36,27,11,4,32,5,10,9,6,8,28,7,2,40,35,15,12,34,14])).
% 62.99/63.07  cnf(4978,plain,
% 62.99/63.07     (P1(f9(x49781,f3(a2,a2)),f9(x49781,a11))),
% 62.99/63.07     inference(scs_inference,[],[4757,4935,65,37,30,27])).
% 62.99/63.07  cnf(4980,plain,
% 62.99/63.07     (P1(f10(a11,a8),f3(a6,a6))),
% 62.99/63.07     inference(scs_inference,[],[4963,4757,4935,65,37,30,27,29])).
% 62.99/63.07  cnf(4982,plain,
% 62.99/63.07     (P3(a8,f4(a8,f4(f10(a8,a8),a1)))),
% 62.99/63.07     inference(scs_inference,[],[4963,4757,4935,65,37,30,27,29,36])).
% 62.99/63.07  cnf(4995,plain,
% 62.99/63.07     (E(f10(x49951,f10(a8,f4(a8,a6))),f10(x49951,a6))),
% 62.99/63.07     inference(scs_inference,[],[4963,4757,4935,4882,65,37,30,27,29,36,11,32,4,10,5,8,9,28,6,7])).
% 62.99/63.07  cnf(4999,plain,
% 62.99/63.07     (~P3(f4(f10(a8,a8),a1),f10(a8,a8))),
% 62.99/63.07     inference(scs_inference,[],[4554,4963,568,4757,4935,4882,168,65,37,30,27,29,36,11,32,4,10,5,8,9,28,6,7,2,40,35])).
% 62.99/63.07  cnf(5003,plain,
% 62.99/63.07     (E(f10(x50031,a8),x50031)),
% 62.99/63.07     inference(rename_variables,[],[24])).
% 62.99/63.07  cnf(5009,plain,
% 62.99/63.07     (~P3(f10(f3(a6,a6),a8),f10(a11,a8))),
% 62.99/63.07     inference(scs_inference,[],[4554,4963,4957,568,4757,536,681,4428,4935,4882,24,5003,168,65,37,30,27,29,36,11,32,4,10,5,8,9,28,6,7,2,40,35,15,34,12,33,14])).
% 62.99/63.07  cnf(5023,plain,
% 62.99/63.07     (P3(a8,f4(a8,f10(a6,f10(a8,a6))))),
% 62.99/63.07     inference(scs_inference,[],[4759,489,27,36])).
% 62.99/63.07  cnf(5031,plain,
% 62.99/63.07     (E(f4(x50311,f3(a1,a1)),f4(x50311,a11))),
% 62.99/63.07     inference(scs_inference,[],[4999,4759,4982,4639,489,27,36,30,29,32,11])).
% 62.99/63.07  cnf(5032,plain,
% 62.99/63.07     (E(f3(f3(a1,a1),x50321),f3(a11,x50321))),
% 62.99/63.07     inference(scs_inference,[],[4999,4759,4982,4639,489,27,36,30,29,32,11,4])).
% 62.99/63.07  cnf(5033,plain,
% 62.99/63.07     (E(f3(x50331,f3(a1,a1)),f3(x50331,a11))),
% 62.99/63.07     inference(scs_inference,[],[4999,4759,4982,4639,489,27,36,30,29,32,11,4,5])).
% 62.99/63.07  cnf(5037,plain,
% 62.99/63.07     (E(f10(f3(a1,a1),x50371),f10(a11,x50371))),
% 62.99/63.07     inference(scs_inference,[],[4999,4759,4982,4639,489,27,36,30,29,32,11,4,5,10,28,6])).
% 62.99/63.07  cnf(5048,plain,
% 62.99/63.07     (E(f9(f3(a2,a2),x50481),f9(a11,x50481))),
% 62.99/63.07     inference(rename_variables,[],[4759])).
% 62.99/63.07  cnf(5053,plain,
% 62.99/63.07     (E(f9(f3(a2,a2),x50531),f9(a11,x50531))),
% 62.99/63.07     inference(rename_variables,[],[4759])).
% 62.99/63.07  cnf(5054,plain,
% 62.99/63.07     (P1(f9(x50541,f3(a2,a2)),f9(x50541,a11))),
% 62.99/63.07     inference(rename_variables,[],[4978])).
% 62.99/63.07  cnf(5058,plain,
% 62.99/63.07     (E(f9(f3(a2,a2),x50581),f9(a11,x50581))),
% 62.99/63.07     inference(rename_variables,[],[4759])).
% 62.99/63.07  cnf(5063,plain,
% 62.99/63.07     (~E(f10(a8,a8),f10(a2,a8))),
% 62.99/63.07     inference(scs_inference,[],[4516,4619,586,4999,4978,5054,4759,5048,5053,5058,4575,615,766,4577,4982,4639,489,90,4544,142,27,36,30,29,32,11,4,5,10,28,6,8,9,7,2,40,35,15,34,12,33,14,13,3])).
% 62.99/63.07  cnf(5069,plain,
% 62.99/63.07     (P3(a8,f4(a8,f4(a8,f10(a2,a8))))),
% 62.99/63.07     inference(scs_inference,[],[5031,4499,27,36])).
% 62.99/63.07  cnf(5092,plain,
% 62.99/63.07     (E(f10(f3(a1,a1),x50921),f10(a11,x50921))),
% 62.99/63.07     inference(rename_variables,[],[5037])).
% 62.99/63.07  cnf(5095,plain,
% 62.99/63.07     (P3(f10(a8,a8),f10(a2,a8))),
% 62.99/63.07     inference(scs_inference,[],[5063,600,5009,5031,5037,4775,4995,5023,4549,4542,4499,168,27,36,29,30,32,11,4,10,5,28,6,8,9,7,2,35,15,12,33])).
% 62.99/63.07  cnf(5098,plain,
% 62.99/63.07     (E(f10(x50981,a8),x50981)),
% 62.99/63.07     inference(rename_variables,[],[24])).
% 62.99/63.07  cnf(5101,plain,
% 62.99/63.07     (~E(f10(a11,a2),f10(a5,a8))),
% 62.99/63.07     inference(scs_inference,[],[5063,600,5009,5031,5037,5092,4631,4732,4775,4995,5023,4549,4542,4499,24,5098,168,27,36,29,30,32,11,4,10,5,28,6,8,9,7,2,35,15,12,33,14,13,3])).
% 62.99/63.07  cnf(5111,plain,
% 62.99/63.07     (P3(a8,f4(f10(a8,a8),f10(a2,a8)))),
% 62.99/63.07     inference(scs_inference,[],[5095,5032,27,36])).
% 62.99/63.07  cnf(5138,plain,
% 62.99/63.07     (E(f3(f3(a1,a1),x51381),f3(a11,x51381))),
% 62.99/63.07     inference(rename_variables,[],[5032])).
% 62.99/63.07  cnf(5139,plain,
% 62.99/63.07     (P1(f3(x51391,f3(a2,a2)),f3(x51391,a11))),
% 62.99/63.07     inference(rename_variables,[],[4888])).
% 62.99/63.07  cnf(5147,plain,
% 62.99/63.07     (~E(f3(a2,a1),f10(a11,a8))),
% 62.99/63.07     inference(scs_inference,[],[5095,4856,5101,4980,4722,5032,5138,4888,5139,633,748,5069,197,4395,1300,537,255,44,27,36,30,29,32,11,4,5,10,28,8,6,9,7,2,40,35,15,12,33,14,13,3])).
% 62.99/63.07  cnf(5171,plain,
% 62.99/63.07     ($false),
% 62.99/63.07     inference(scs_inference,[],[5147,4469,5033,5111,4403,4871,27,36,29,30,32,11,5,4,10,28,6,8,9,7,2]),
% 62.99/63.07     ['proof']).
% 62.99/63.07  % SZS output end Proof
% 62.99/63.07  % Total time :62.400000s
%------------------------------------------------------------------------------