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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SEU145+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n017.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 15:01:18 EDT 2024

% Result   : Theorem 116.75s 116.78s
% Output   : CNFRefutation 116.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU145+1 : TPTP v8.2.0. Released v3.3.0.
% 0.03/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n017.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   : Fri Jun 21 13:00:09 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.52/0.58  start to proof:theBenchmark
% 116.66/116.76  %-------------------------------------------
% 116.66/116.76  % File        :CSE---1.7
% 116.66/116.76  % Problem     :theBenchmark
% 116.66/116.76  % Transform   :cnf
% 116.66/116.76  % Format      :tptp:raw
% 116.66/116.76  % Command     :java -jar mcs_scs.jar %d %s
% 116.66/116.76  
% 116.66/116.76  % Result      :Theorem 116.120000s
% 116.66/116.76  % Output      :CNFRefutation 116.120000s
% 116.66/116.76  %-------------------------------------------
% 116.75/116.78  %------------------------------------------------------------------------------
% 116.75/116.78  % File     : SEU145+1 : TPTP v8.2.0. Released v3.3.0.
% 116.75/116.78  % Domain   : Set theory
% 116.75/116.78  % Problem  : MPTP bushy problem l3_zfmisc_1
% 116.75/116.78  % Version  : [Urb07] axioms : Especial.
% 116.75/116.78  % English  :
% 116.75/116.78  
% 116.75/116.78  % Refs     : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 116.75/116.78  %          : [Urb07] Urban (2006), Email to G. Sutcliffe
% 116.75/116.78  % Source   : [Urb07]
% 116.75/116.78  % Names    : bushy-l3_zfmisc_1 [Urb07]
% 116.75/116.78  
% 116.75/116.78  % Status   : Theorem
% 116.75/116.78  % Rating   : 0.31 v8.1.0, 0.28 v7.5.0, 0.34 v7.4.0, 0.27 v7.3.0, 0.21 v7.2.0, 0.17 v7.1.0, 0.22 v7.0.0, 0.23 v6.4.0, 0.27 v6.3.0, 0.29 v6.2.0, 0.36 v6.1.0, 0.47 v6.0.0, 0.39 v5.5.0, 0.44 v5.4.0, 0.50 v5.3.0, 0.56 v5.2.0, 0.35 v5.1.0, 0.38 v5.0.0, 0.46 v4.1.0, 0.43 v4.0.0, 0.46 v3.7.0, 0.40 v3.5.0, 0.42 v3.4.0, 0.53 v3.3.0
% 116.75/116.78  % Syntax   : Number of formulae    :    8 (   3 unt;   0 def)
% 116.75/116.78  %            Number of atoms       :   18 (   3 equ)
% 116.75/116.78  %            Maximal formula atoms :    4 (   2 avg)
% 116.75/116.78  %            Number of connectives :   12 (   2   ~;   1   |;   1   &)
% 116.75/116.78  %                                         (   5 <=>;   3  =>;   0  <=;   0 <~>)
% 116.75/116.78  %            Maximal formula depth :    9 (   5 avg)
% 116.75/116.78  %            Maximal term depth    :    3 (   1 avg)
% 116.75/116.78  %            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
% 116.75/116.78  %            Number of functors    :    2 (   2 usr;   0 con; 1-2 aty)
% 116.75/116.78  %            Number of variables   :   17 (  17   !;   0   ?)
% 116.75/116.78  % SPC      : FOF_THM_RFO_SEQ
% 116.75/116.78  
% 116.75/116.78  % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 116.75/116.78  %            library, www.mizar.org
% 116.75/116.78  %------------------------------------------------------------------------------
% 116.75/116.78  fof(antisymmetry_r2_hidden,axiom,
% 116.75/116.78      ! [A,B] :
% 116.75/116.78        ( in(A,B)
% 116.75/116.78       => ~ in(B,A) ) ).
% 116.75/116.78  
% 116.75/116.78  fof(d1_tarski,axiom,
% 116.75/116.78      ! [A,B] :
% 116.75/116.78        ( B = singleton(A)
% 116.75/116.78      <=> ! [C] :
% 116.75/116.78            ( in(C,B)
% 116.75/116.78          <=> C = A ) ) ).
% 116.75/116.78  
% 116.75/116.78  fof(d3_tarski,axiom,
% 116.75/116.78      ! [A,B] :
% 116.75/116.78        ( subset(A,B)
% 116.75/116.78      <=> ! [C] :
% 116.75/116.78            ( in(C,A)
% 116.75/116.78           => in(C,B) ) ) ).
% 116.75/116.78  
% 116.75/116.78  fof(d4_xboole_0,axiom,
% 116.75/116.78      ! [A,B,C] :
% 116.75/116.78        ( C = set_difference(A,B)
% 116.75/116.78      <=> ! [D] :
% 116.75/116.78            ( in(D,C)
% 116.75/116.78          <=> ( in(D,A)
% 116.75/116.78              & ~ in(D,B) ) ) ) ).
% 116.75/116.78  
% 116.75/116.78  fof(dt_k1_tarski,axiom,
% 116.75/116.78      $true ).
% 116.75/116.78  
% 116.75/116.78  fof(dt_k4_xboole_0,axiom,
% 116.75/116.78      $true ).
% 116.75/116.78  
% 116.75/116.78  fof(l3_zfmisc_1,conjecture,
% 116.75/116.78      ! [A,B,C] :
% 116.75/116.78        ( subset(A,B)
% 116.75/116.78       => ( in(C,A)
% 116.75/116.78          | subset(A,set_difference(B,singleton(C))) ) ) ).
% 116.75/116.78  
% 116.75/116.78  fof(reflexivity_r1_tarski,axiom,
% 116.75/116.78      ! [A,B] : subset(A,A) ).
% 116.75/116.78  
% 116.75/116.78  %------------------------------------------------------------------------------
% 116.75/116.78  %-------------------------------------------
% 116.75/116.78  % Proof found
% 116.75/116.78  % SZS status Theorem for theBenchmark
% 116.75/116.78  % SZS output start Proof
% 116.75/116.79  %ClaNum:35(EqnAxiom:17)
% 116.75/116.79  %VarNum:110(SingletonVarNum:41)
% 116.75/116.79  %MaxLitNum:4
% 116.75/116.79  %MaxfuncDepth:2
% 116.75/116.79  %SharedTerms:8
% 116.75/116.79  %goalClause: 18 20 21
% 116.75/116.79  %singleGoalClaCount:3
% 116.75/116.79  [18]P1(a1,a5)
% 116.75/116.79  [20]~P2(a6,a1)
% 116.75/116.79  [21]~P1(a1,f8(a5,f7(a6)))
% 116.75/116.79  [19]P1(x191,x191)
% 116.75/116.79  [24]~P2(x242,x241)+~P2(x241,x242)
% 116.75/116.79  [25]P1(x251,x252)+P2(f2(x251,x252),x251)
% 116.75/116.79  [31]P1(x311,x312)+~P2(f2(x311,x312),x312)
% 116.75/116.79  [27]E(f3(x272,x271),x272)+P2(f3(x272,x271),x271)+E(x271,f7(x272))
% 116.75/116.79  [32]~E(f3(x322,x321),x322)+~P2(f3(x322,x321),x321)+E(x321,f7(x322))
% 116.75/116.79  [26]~P1(x263,x262)+P2(x261,x262)+~P2(x261,x263)
% 116.75/116.79  [22]P2(x221,x222)+~E(x221,x223)+~E(x222,f7(x223))
% 116.75/116.79  [23]~P2(x231,x233)+E(x231,x232)+~E(x233,f7(x232))
% 116.75/116.79  [33]P2(f4(x332,x333,x331),x331)+P2(f4(x332,x333,x331),x332)+E(x331,f8(x332,x333))
% 116.75/116.79  [34]P2(f4(x342,x343,x341),x341)+~P2(f4(x342,x343,x341),x343)+E(x341,f8(x342,x343))
% 116.75/116.79  [28]~P2(x281,x283)+P2(x281,x282)+~E(x283,f8(x282,x284))
% 116.75/116.79  [29]~P2(x294,x293)+~P2(x294,x291)+~E(x291,f8(x292,x293))
% 116.75/116.79  [35]P2(f4(x352,x353,x351),x353)+~P2(f4(x352,x353,x351),x351)+~P2(f4(x352,x353,x351),x352)+E(x351,f8(x352,x353))
% 116.75/116.79  [30]~P2(x301,x304)+P2(x301,x302)+P2(x301,x303)+~E(x302,f8(x304,x303))
% 116.75/116.79  %EqnAxiom
% 116.75/116.79  [1]E(x11,x11)
% 116.75/116.79  [2]E(x22,x21)+~E(x21,x22)
% 116.75/116.79  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 116.75/116.79  [4]~E(x41,x42)+E(f7(x41),f7(x42))
% 116.75/116.79  [5]~E(x51,x52)+E(f8(x51,x53),f8(x52,x53))
% 116.75/116.79  [6]~E(x61,x62)+E(f8(x63,x61),f8(x63,x62))
% 116.75/116.79  [7]~E(x71,x72)+E(f4(x71,x73,x74),f4(x72,x73,x74))
% 116.75/116.79  [8]~E(x81,x82)+E(f4(x83,x81,x84),f4(x83,x82,x84))
% 116.75/116.79  [9]~E(x91,x92)+E(f4(x93,x94,x91),f4(x93,x94,x92))
% 116.75/116.79  [10]~E(x101,x102)+E(f3(x101,x103),f3(x102,x103))
% 116.75/116.79  [11]~E(x111,x112)+E(f3(x113,x111),f3(x113,x112))
% 116.75/116.79  [12]~E(x121,x122)+E(f2(x121,x123),f2(x122,x123))
% 116.75/116.79  [13]~E(x131,x132)+E(f2(x133,x131),f2(x133,x132))
% 116.75/116.79  [14]P1(x142,x143)+~E(x141,x142)+~P1(x141,x143)
% 116.75/116.79  [15]P1(x153,x152)+~E(x151,x152)+~P1(x153,x151)
% 116.75/116.79  [16]P2(x162,x163)+~E(x161,x162)+~P2(x161,x163)
% 116.75/116.79  [17]P2(x173,x172)+~E(x171,x172)+~P2(x173,x171)
% 116.75/116.79  
% 116.75/116.79  %-------------------------------------------
% 116.78/116.81  cnf(36,plain,
% 116.78/116.81     (~P2(x361,f7(x362))+E(x361,x362)),
% 116.78/116.81     inference(equality_inference,[],[23])).
% 116.78/116.81  cnf(37,plain,
% 116.78/116.81     (~P2(x371,f8(x372,x373))+P2(x371,x372)),
% 116.78/116.81     inference(equality_inference,[],[28])).
% 116.78/116.81  cnf(38,plain,
% 116.78/116.81     (~P2(x381,x382)+~P2(x381,f8(x383,x382))),
% 116.78/116.81     inference(equality_inference,[],[29])).
% 116.78/116.81  cnf(39,plain,
% 116.78/116.81     (~P2(x391,x392)+P2(x391,f8(x392,x393))+P2(x391,x393)),
% 116.78/116.81     inference(equality_inference,[],[30])).
% 116.78/116.81  cnf(40,plain,
% 116.78/116.81     (~P2(a6,f8(a1,x401))),
% 116.78/116.81     inference(scs_inference,[],[20,37])).
% 116.78/116.81  cnf(42,plain,
% 116.78/116.81     (~E(f8(a5,f7(a6)),a1)),
% 116.78/116.81     inference(scs_inference,[],[20,21,19,37,14])).
% 116.78/116.81  cnf(44,plain,
% 116.78/116.81     (~E(a5,f8(a5,f7(a6)))),
% 116.78/116.81     inference(scs_inference,[],[18,20,21,19,37,14,15])).
% 116.78/116.81  cnf(45,plain,
% 116.78/116.81     (~P2(f8(a5,f7(a6)),f7(a1))),
% 116.78/116.81     inference(scs_inference,[],[18,20,21,19,37,14,15,36])).
% 116.78/116.81  cnf(47,plain,
% 116.78/116.81     (~P2(a6,x471)+P2(a6,f8(x471,f8(a1,x472)))),
% 116.78/116.81     inference(scs_inference,[],[18,20,21,19,37,14,15,36,39])).
% 116.78/116.81  cnf(49,plain,
% 116.78/116.81     (P2(f4(a5,f7(a6),a5),a5)),
% 116.78/116.81     inference(scs_inference,[],[18,20,21,19,37,14,15,36,39,33])).
% 116.78/116.81  cnf(61,plain,
% 116.78/116.81     (~P2(a5,f4(a5,f7(a6),a5))),
% 116.78/116.81     inference(scs_inference,[],[49,45,37,24])).
% 116.78/116.81  cnf(63,plain,
% 116.78/116.81     (~P2(f4(a5,f7(a6),a5),f8(x631,a5))),
% 116.78/116.81     inference(scs_inference,[],[49,45,37,24,38])).
% 116.78/116.81  cnf(65,plain,
% 116.78/116.81     (P2(f4(a5,f7(a6),a5),f8(a5,f8(x651,a5)))),
% 116.78/116.81     inference(scs_inference,[],[49,45,37,24,38,39])).
% 116.78/116.81  cnf(67,plain,
% 116.78/116.81     (~E(a5,f8(x671,a5))),
% 116.78/116.81     inference(scs_inference,[],[49,45,37,24,38,39,17])).
% 116.78/116.81  cnf(68,plain,
% 116.78/116.81     (~E(a1,f8(a5,f7(a6)))),
% 116.78/116.81     inference(scs_inference,[],[21,49,45,19,37,24,38,39,17,15])).
% 116.78/116.81  cnf(70,plain,
% 116.78/116.81     (P2(f4(a5,f7(a6),a5),f7(a6))),
% 116.78/116.81     inference(scs_inference,[],[21,49,45,44,19,37,24,38,39,17,15,35])).
% 116.78/116.81  cnf(72,plain,
% 116.78/116.81     (~P2(a5,f7(f8(x721,a5)))),
% 116.78/116.81     inference(scs_inference,[],[21,49,45,44,19,37,24,38,39,17,15,35,36])).
% 116.78/116.81  cnf(80,plain,
% 116.78/116.81     (~P2(f7(a6),f4(a5,f7(a6),a5))),
% 116.78/116.81     inference(scs_inference,[],[40,70,37,24])).
% 116.78/116.81  cnf(82,plain,
% 116.78/116.81     (~P2(f4(a5,f7(a6),a5),f8(x821,f7(a6)))),
% 116.78/116.81     inference(scs_inference,[],[40,70,37,24,38])).
% 116.78/116.81  cnf(84,plain,
% 116.78/116.81     (P2(f4(a5,f7(a6),a5),f8(f7(a6),f8(x841,a5)))),
% 116.78/116.81     inference(scs_inference,[],[40,63,70,37,24,38,39])).
% 116.78/116.81  cnf(86,plain,
% 116.78/116.81     (~E(f7(a6),f8(x861,a5))),
% 116.78/116.81     inference(scs_inference,[],[40,63,70,37,24,38,39,17])).
% 116.78/116.81  cnf(87,plain,
% 116.78/116.81     (~P2(f7(a6),f7(f8(x871,a5)))),
% 116.78/116.81     inference(scs_inference,[],[40,63,70,37,24,38,39,17,36])).
% 116.78/116.81  cnf(95,plain,
% 116.78/116.81     (~P2(f4(a5,f7(a6),a5),f8(f8(x951,a5),x952))),
% 116.78/116.81     inference(scs_inference,[],[63,37])).
% 116.78/116.81  cnf(99,plain,
% 116.78/116.81     (~E(f8(f7(a6),f8(x991,a5)),f8(x992,f7(a6)))),
% 116.78/116.81     inference(scs_inference,[],[82,84,63,37,24,17])).
% 116.78/116.81  cnf(100,plain,
% 116.78/116.81     (~E(f8(x1001,a5),f7(a6))),
% 116.78/116.81     inference(scs_inference,[],[82,84,63,37,24,17,6])).
% 116.78/116.81  cnf(113,plain,
% 116.78/116.81     (~E(f7(a6),f8(f8(x1131,a5),x1132))),
% 116.78/116.81     inference(scs_inference,[],[70,95,65,24,17])).
% 116.78/116.81  cnf(120,plain,
% 116.78/116.81     (~E(f8(a5,f8(x1201,a5)),f8(x1202,a5))),
% 116.78/116.81     inference(scs_inference,[],[63,65,17])).
% 116.78/116.81  cnf(121,plain,
% 116.78/116.81     (~E(f8(x1211,a5),a5)),
% 116.78/116.81     inference(scs_inference,[],[63,65,17,6])).
% 116.78/116.81  cnf(126,plain,
% 116.78/116.81     (P2(f4(f7(a6),a5,f7(a6)),a5)+~P2(f4(f7(a6),a5,f7(a6)),a5)),
% 116.78/116.81     inference(scs_inference,[],[63,86,65,17,6,36,34,35])).
% 116.78/116.81  cnf(129,plain,
% 116.78/116.81     (~P2(f7(a6),f4(f7(a6),a5,f7(a6)))+~P2(f4(f7(a6),a5,f7(a6)),a5)),
% 116.78/116.81     inference(scs_inference,[],[63,86,65,17,6,36,34,35,24])).
% 116.78/116.81  cnf(137,plain,
% 116.78/116.81     (~E(f8(f7(a6),f8(x1371,a5)),f8(x1372,a5))),
% 116.78/116.81     inference(scs_inference,[],[63,84,120,36,17])).
% 116.78/116.81  cnf(138,plain,
% 116.78/116.81     (P2(f4(f8(x1381,a5),x1382,f7(a6)),f7(a6))+~P2(f4(f8(x1381,a5),x1382,f7(a6)),x1382)),
% 116.78/116.81     inference(scs_inference,[],[63,84,120,113,36,17,34])).
% 116.78/116.81  cnf(150,plain,
% 116.78/116.81     (P2(f4(a5,a5,a5),a5)),
% 116.78/116.81     inference(scs_inference,[],[67,137,36,33,35])).
% 116.78/116.81  cnf(157,plain,
% 116.78/116.81     (~P2(f4(a5,a5,a5),f8(x1571,a5))),
% 116.78/116.81     inference(scs_inference,[],[150,24,38])).
% 116.78/116.81  cnf(159,plain,
% 116.78/116.81     (~P2(f8(x1591,a5),f7(a5))),
% 116.78/116.81     inference(scs_inference,[],[150,121,24,38,36])).
% 116.78/116.81  cnf(161,plain,
% 116.78/116.81     (P2(f4(a5,a5,a5),f8(a5,f8(x1611,a5)))),
% 116.78/116.81     inference(scs_inference,[],[150,121,24,38,36,39])).
% 116.78/116.81  cnf(165,plain,
% 116.78/116.81     (P2(f4(x1651,a5,f7(a6)),f7(a6))+P2(f4(x1651,a5,f7(a6)),x1651)),
% 116.78/116.81     inference(scs_inference,[],[86,150,121,24,38,36,39,37,33])).
% 116.78/116.81  cnf(172,plain,
% 116.78/116.81     (~P2(f8(a5,f8(x1721,a5)),f4(a5,a5,a5))),
% 116.78/116.81     inference(scs_inference,[],[157,161,37,24])).
% 116.78/116.81  cnf(179,plain,
% 116.78/116.81     (P2(f4(a5,f7(a6),a1),a5)),
% 116.78/116.81     inference(scs_inference,[],[18,20,68,157,161,37,24,33,16,38,26])).
% 116.78/116.81  cnf(185,plain,
% 116.78/116.81     (~P2(a5,f4(a5,f7(a6),a1))),
% 116.78/116.81     inference(scs_inference,[],[179,172,37,24])).
% 116.78/116.81  cnf(187,plain,
% 116.78/116.81     (~P2(f4(a5,f7(a6),a1),f8(x1871,a5))),
% 116.78/116.81     inference(scs_inference,[],[179,172,37,24,38])).
% 116.78/116.81  cnf(189,plain,
% 116.78/116.81     (P2(f4(a5,f7(a6),a1),f8(a5,f8(x1891,a5)))),
% 116.78/116.81     inference(scs_inference,[],[179,172,37,24,38,39])).
% 116.78/116.81  cnf(191,plain,
% 116.78/116.81     (P2(f4(f8(x1911,a5),x1912,f7(a6)),f7(a6))+P2(f4(f8(x1911,a5),x1912,f7(a6)),f8(x1911,a5))),
% 116.78/116.81     inference(scs_inference,[],[179,113,172,37,24,38,39,33])).
% 116.78/116.81  cnf(195,plain,
% 116.78/116.81     (~P2(f4(a5,f7(a6),a1),f8(f8(x1951,a5),x1952))),
% 116.78/116.81     inference(scs_inference,[],[187,37])).
% 116.78/116.81  cnf(207,plain,
% 116.78/116.81     (~E(a5,f8(f8(x2071,a5),x2072))),
% 116.78/116.81     inference(scs_inference,[],[179,195,159,37,17])).
% 116.78/116.81  cnf(245,plain,
% 116.78/116.82     (E(f7(f4(a5,f7(a6),a5)),f7(a6))),
% 116.78/116.82     inference(scs_inference,[],[70,4,36])).
% 116.78/116.82  cnf(270,plain,
% 116.78/116.82     (~E(f8(a5,f8(x2701,a5)),a1)+~E(f4(a5,f7(a6),a5),a6)),
% 116.78/116.82     inference(scs_inference,[],[20,65,16,17])).
% 116.78/116.82  cnf(280,plain,
% 116.78/116.82     (~E(f8(f7(a6),f8(x2801,a5)),a1)+~E(f4(a5,f7(a6),a5),a6)),
% 116.78/116.82     inference(scs_inference,[],[20,84,16,17])).
% 116.78/116.82  cnf(472,plain,
% 116.78/116.82     (~P2(a6,x4721)+~E(a1,f8(x4721,a1))),
% 116.78/116.82     inference(scs_inference,[],[40,47,30])).
% 116.78/116.82  cnf(488,plain,
% 116.78/116.82     (~P2(a6,f8(x4881,x4882))+~E(a1,f8(x4881,a1))),
% 116.78/116.82     inference(scs_inference,[],[472,37])).
% 116.78/116.82  cnf(615,plain,
% 116.78/116.82     (E(f4(f4(a5,f7(a6),a5),x6151,x6152),f4(a6,x6151,x6152))),
% 116.78/116.82     inference(scs_inference,[],[70,7,36])).
% 116.78/116.82  cnf(631,plain,
% 116.78/116.82     (E(f4(x6311,f4(a5,f7(a6),a5),x6312),f4(x6311,a6,x6312))),
% 116.78/116.82     inference(scs_inference,[],[70,8,36])).
% 116.78/116.82  cnf(647,plain,
% 116.78/116.82     (E(f4(x6471,x6472,f4(a5,f7(a6),a5)),f4(x6471,x6472,a6))),
% 116.78/116.82     inference(scs_inference,[],[70,9,36])).
% 116.78/116.82  cnf(1113,plain,
% 116.78/116.82     (~E(f8(a5,f8(x11131,a5)),a1)),
% 116.78/116.82     inference(scs_inference,[],[70,270,36])).
% 116.78/116.82  cnf(1114,plain,
% 116.78/116.82     (~P2(f8(a5,f8(x11141,a5)),f7(a1))),
% 116.78/116.82     inference(scs_inference,[],[1113,36])).
% 116.78/116.82  cnf(1329,plain,
% 116.78/116.82     (E(f4(f7(a6),a5,f7(a6)),a6)),
% 116.78/116.82     inference(scs_inference,[],[165,36])).
% 116.78/116.82  cnf(1330,plain,
% 116.78/116.82     (E(a6,f4(f7(a6),a5,f7(a6)))),
% 116.78/116.82     inference(scs_inference,[],[1329,2])).
% 116.78/116.82  cnf(1347,plain,
% 116.78/116.82     (~E(f8(f7(a6),f8(x13471,a5)),a1)),
% 116.78/116.82     inference(scs_inference,[],[70,280,36])).
% 116.78/116.82  cnf(1421,plain,
% 116.78/116.82     (P2(f4(a5,a5,a5),f8(f8(a5,f8(x14211,a5)),f8(x14212,a5)))),
% 116.78/116.82     inference(scs_inference,[],[161,157,39])).
% 116.78/116.82  cnf(1423,plain,
% 116.78/116.82     (~P2(f8(f8(a5,f8(x14231,a5)),f8(x14232,a5)),f4(a5,a5,a5))),
% 116.78/116.82     inference(scs_inference,[],[161,157,39,24])).
% 116.78/116.82  cnf(1430,plain,
% 116.78/116.82     (~E(f8(f8(a5,f8(x14301,a5)),f8(x14302,a5)),f8(x14303,a5))),
% 116.78/116.82     inference(scs_inference,[],[157,1421,17])).
% 116.78/116.82  cnf(2589,plain,
% 116.78/116.82     (P2(f4(f8(x25891,a5),f8(x25891,a5),f7(a6)),f7(a6))),
% 116.78/116.82     inference(scs_inference,[],[138,191])).
% 116.78/116.82  cnf(2590,plain,
% 116.78/116.82     (~P2(f7(a6),f4(f8(x25901,a5),f8(x25901,a5),f7(a6)))),
% 116.78/116.82     inference(scs_inference,[],[2589,24])).
% 116.78/116.82  cnf(2592,plain,
% 116.78/116.82     (~P2(f4(f8(x25921,a5),f8(x25921,a5),f7(a6)),f8(x25922,f7(a6)))),
% 116.78/116.82     inference(scs_inference,[],[2589,24,38])).
% 116.78/116.82  cnf(2595,plain,
% 116.78/116.82     (P2(f4(x25951,f7(a6),f7(a6)),f7(a6))+P2(f4(x25951,f7(a6),f7(a6)),x25951)),
% 116.78/116.82     inference(scs_inference,[],[2589,24,38,17,33])).
% 116.78/116.82  cnf(2597,plain,
% 116.78/116.82     (P2(f4(f7(a6),f7(a6),f7(a6)),f7(a6))),
% 116.78/116.82     inference(scs_inference,[],[2589,24,38,17,33,35])).
% 116.78/116.82  cnf(2600,plain,
% 116.78/116.82     (~P2(f7(a6),f4(f7(a6),f7(a6),f7(a6)))),
% 116.78/116.82     inference(scs_inference,[],[2597,24])).
% 116.78/116.82  cnf(2605,plain,
% 116.78/116.82     (~E(f4(f7(a6),f7(a6),f7(a6)),f4(f7(a6),a5,f7(a6)))+P2(f4(f7(a6),a5,f7(a6)),a5)),
% 116.78/116.82     inference(scs_inference,[],[86,2597,24,38,16,35])).
% 116.78/116.82  cnf(2638,plain,
% 116.78/116.82     (E(f4(f7(a6),f7(a6),f7(a6)),a6)),
% 116.78/116.82     inference(scs_inference,[],[2595,36])).
% 116.78/116.82  cnf(2639,plain,
% 116.78/116.82     (E(a6,f4(f7(a6),f7(a6),f7(a6)))),
% 116.78/116.82     inference(scs_inference,[],[2638,2])).
% 116.78/116.82  cnf(2640,plain,
% 116.78/116.82     (E(f4(f7(a6),a5,f7(a6)),f4(f7(a6),f7(a6),f7(a6)))),
% 116.78/116.82     inference(scs_inference,[],[1329,2638,2,3])).
% 116.78/116.82  cnf(2641,plain,
% 116.78/116.82     (P2(a6,f7(a6))),
% 116.78/116.82     inference(scs_inference,[],[2597,1329,2638,2,3,16])).
% 116.78/116.82  cnf(2642,plain,
% 116.78/116.82     (~P2(f7(a6),a6)),
% 116.78/116.82     inference(scs_inference,[],[2597,1329,2638,2,3,16,24])).
% 116.78/116.82  cnf(2644,plain,
% 116.78/116.82     (~P2(f7(a6),f8(a6,x26441))),
% 116.78/116.82     inference(scs_inference,[],[2597,1329,2638,2,3,16,24,37])).
% 116.78/116.82  cnf(2646,plain,
% 116.78/116.82     (~P2(a6,f8(x26461,f7(a6)))),
% 116.78/116.82     inference(scs_inference,[],[2597,1329,2638,2,3,16,24,37,38])).
% 116.78/116.82  cnf(2648,plain,
% 116.78/116.82     (P2(a6,f8(f7(a6),a1))),
% 116.78/116.82     inference(scs_inference,[],[20,2597,1329,2638,2,3,16,24,37,38,39])).
% 116.78/116.82  cnf(2651,plain,
% 116.78/116.82     (~P2(f7(a6),f7(a1))),
% 116.78/116.82     inference(scs_inference,[],[20,2597,1329,2638,2,3,16,24,37,38,39,17,36])).
% 116.78/116.82  cnf(2654,plain,
% 116.78/116.82     (E(f4(f7(a6),f7(a6),f7(a6)),f4(f7(a6),a5,f7(a6)))),
% 116.78/116.82     inference(scs_inference,[],[2640,2])).
% 116.78/116.82  cnf(2655,plain,
% 116.78/116.82     (~P2(f8(f7(a6),a1),a6)),
% 116.78/116.82     inference(scs_inference,[],[2640,2648,2,24])).
% 116.78/116.82  cnf(2657,plain,
% 116.78/116.82     (~P2(f7(a6),f8(f8(a6,x26571),x26572))),
% 116.78/116.82     inference(scs_inference,[],[2640,2644,2648,2,24,37])).
% 116.78/116.82  cnf(2659,plain,
% 116.78/116.82     (P2(a6,f8(f8(f7(a6),a1),f8(a1,x26591)))),
% 116.78/116.82     inference(scs_inference,[],[40,2640,2644,2648,2,24,37,39])).
% 116.78/116.82  cnf(2662,plain,
% 116.78/116.82     (P2(f4(f7(a6),a5,f7(a6)),f8(f7(a6),a1))),
% 116.78/116.82     inference(scs_inference,[],[20,40,1330,2640,2644,2648,2,24,37,39,17,16])).
% 116.78/116.82  cnf(2663,plain,
% 116.78/116.82     (~P2(f8(f7(a6),a1),f7(a1))),
% 116.78/116.82     inference(scs_inference,[],[20,40,1330,2640,2644,2648,2,24,37,39,17,16,36])).
% 116.78/116.82  cnf(2666,plain,
% 116.78/116.82     (P2(f4(f7(a6),a5,f7(a6)),a5)),
% 116.78/116.82     inference(scs_inference,[],[2654,2605])).
% 116.78/116.82  cnf(2667,plain,
% 116.78/116.82     (~P2(f8(f7(a6),a1),f4(f7(a6),a5,f7(a6)))),
% 116.78/116.82     inference(scs_inference,[],[2662,24])).
% 116.78/116.82  cnf(2669,plain,
% 116.78/116.82     (~P2(f7(a6),f8(f7(a1),x26691))),
% 116.78/116.82     inference(scs_inference,[],[2651,2662,24,37])).
% 116.78/116.82  cnf(2671,plain,
% 116.78/116.82     (P2(a6,f8(f7(a6),f8(a1,x26711)))),
% 116.78/116.82     inference(scs_inference,[],[40,2651,2662,2641,24,37,39])).
% 116.78/116.82  cnf(2674,plain,
% 116.78/116.82     (P2(f4(f7(a6),a5,f7(a6)),f7(a6))),
% 116.78/116.82     inference(scs_inference,[],[20,40,2597,2654,2651,2662,2641,2659,24,37,39,17,16])).
% 116.78/116.82  cnf(2677,plain,
% 116.78/116.82     (~P2(f4(f7(a6),a5,f7(a6)),f8(x26771,f7(a6)))),
% 116.78/116.82     inference(scs_inference,[],[20,40,2597,2654,2651,2662,2641,2659,24,37,39,17,16,36,38])).
% 116.78/116.82  cnf(2680,plain,
% 116.78/116.82     (P2(f4(f7(a6),a5,f7(a6)),a5)),
% 116.78/116.82     inference(scs_inference,[],[2666,126])).
% 116.78/116.82  cnf(2681,plain,
% 116.78/116.82     (~P2(f7(a6),f4(f7(a6),a5,f7(a6)))),
% 116.78/116.82     inference(scs_inference,[],[2666,129])).
% 116.78/116.82  cnf(2686,plain,
% 116.78/116.82     (~P2(f4(f7(a6),a5,f7(a6)),f8(x26861,a5))),
% 116.78/116.82     inference(scs_inference,[],[2666,2663,24,37,38])).
% 116.78/116.82  cnf(2688,plain,
% 116.78/116.82     (P2(a6,f8(f8(f7(a6),f8(a1,x26881)),f8(a1,x26882)))),
% 116.78/116.82     inference(scs_inference,[],[40,2666,2663,2671,24,37,38,39])).
% 116.78/116.82  cnf(2690,plain,
% 116.78/116.82     (~E(a5,f8(x26901,f7(a6)))),
% 116.78/116.82     inference(scs_inference,[],[40,2666,2677,2663,2671,24,37,38,39,17])).
% 116.78/116.82  cnf(2691,plain,
% 116.78/116.82     (P2(a6,a5)),
% 116.78/116.82     inference(scs_inference,[],[40,1329,2666,2677,2663,2671,24,37,38,39,17,16])).
% 116.78/116.82  cnf(2695,plain,
% 116.78/116.82     (~P2(f8(f8(f7(a6),f8(a1,x26951)),f8(a1,x26952)),a6)),
% 116.78/116.82     inference(scs_inference,[],[2688,24])).
% 116.78/116.82  cnf(2697,plain,
% 116.78/116.82     (~P2(f4(f7(a6),a5,f7(a6)),f8(f8(x26971,a5),x26972))),
% 116.78/116.82     inference(scs_inference,[],[2686,2688,24,37])).
% 116.78/116.82  cnf(2699,plain,
% 116.78/116.82     (~P2(a6,f8(x26991,a5))),
% 116.78/116.82     inference(scs_inference,[],[2686,2688,2691,24,37,38])).
% 116.78/116.82  cnf(2701,plain,
% 116.78/116.82     (P2(f4(f7(a6),a5,f7(a6)),f8(a5,f8(x27011,a5)))),
% 116.78/116.82     inference(scs_inference,[],[2666,2686,2688,2691,24,37,38,39])).
% 116.78/116.82  cnf(2703,plain,
% 116.78/116.82     (~E(f8(a5,f8(x27031,a5)),f8(x27032,f7(a6)))),
% 116.78/116.82     inference(scs_inference,[],[82,65,2666,2686,2688,2691,24,37,38,39,17])).
% 116.78/116.82  cnf(2704,plain,
% 116.78/116.82     (P2(f4(f7(a6),a5,f7(a6)),f8(f7(a6),f8(a1,x27041)))),
% 116.78/116.82     inference(scs_inference,[],[82,65,1330,2666,2686,2688,2691,2671,24,37,38,39,17,16])).
% 116.78/116.82  cnf(2711,plain,
% 116.78/116.82     (P2(a6,f8(f7(a6),f8(x27111,a5)))),
% 116.78/116.82     inference(scs_inference,[],[2704,2695,2699,2641,24,37,39])).
% 116.78/116.82  cnf(2714,plain,
% 116.78/116.82     (P2(a6,f8(a5,f8(x27141,a5)))),
% 116.78/116.82     inference(scs_inference,[],[1329,2697,2704,2701,2695,2699,2641,24,37,39,17,16])).
% 116.78/116.82  cnf(2717,plain,
% 116.78/116.82     (~P2(a5,a6)),
% 116.78/116.82     inference(scs_inference,[],[2691,24])).
% 116.78/116.82  cnf(2721,plain,
% 116.78/116.82     (P2(a6,f8(f8(f7(a6),f8(x27211,a5)),f8(a1,x27212)))),
% 116.78/116.82     inference(scs_inference,[],[40,2711,2655,2691,24,37,39])).
% 116.78/116.82  cnf(2735,plain,
% 116.78/116.82     (~P2(f8(f8(f7(a6),f8(x27351,a5)),f8(a1,x27352)),a6)),
% 116.78/116.82     inference(scs_inference,[],[2721,24])).
% 116.78/116.82  cnf(2747,plain,
% 116.78/116.82     (P2(a6,f8(f8(a5,f8(x27471,a5)),f8(a1,x27472)))),
% 116.78/116.82     inference(scs_inference,[],[40,2735,2714,2701,24,37,39])).
% 116.78/116.82  cnf(2750,plain,
% 116.78/116.82     (~E(a1,f7(a6))),
% 116.78/116.82     inference(scs_inference,[],[40,2735,2714,2662,2677,2701,24,37,39,17,6])).
% 116.78/116.82  cnf(2763,plain,
% 116.78/116.82     (~P2(a5,f8(a6,x27631))),
% 116.78/116.82     inference(scs_inference,[],[2671,2717,24,37])).
% 116.78/116.82  cnf(2772,plain,
% 116.78/116.82     (~P2(f8(f8(a5,f8(x27721,a5)),f8(a1,x27722)),a6)),
% 116.78/116.82     inference(scs_inference,[],[2747,24])).
% 116.78/116.82  cnf(2774,plain,
% 116.78/116.82     (~P2(a6,f8(f8(x27741,a5),x27742))),
% 116.78/116.82     inference(scs_inference,[],[2699,2747,24,37])).
% 116.78/116.82  cnf(2776,plain,
% 116.78/116.82     (~E(f8(f7(a6),f8(a1,x27761)),f8(x27762,a5))),
% 116.78/116.82     inference(scs_inference,[],[2704,2699,2686,2747,24,37,17])).
% 116.78/116.82  cnf(2777,plain,
% 116.78/116.82     (~E(f8(a1,x27771),a5)),
% 116.78/116.82     inference(scs_inference,[],[2704,2699,2686,2747,24,37,17,6])).
% 116.78/116.82  cnf(2778,plain,
% 116.78/116.82     (~P2(f8(a1,x27781),f7(a5))),
% 116.78/116.82     inference(scs_inference,[],[2704,2699,2686,2747,24,37,17,6,36])).
% 116.78/116.82  cnf(2786,plain,
% 116.78/116.82     (~P2(f8(f8(f7(a6),a1),f8(a1,x27861)),a6)),
% 116.78/116.82     inference(scs_inference,[],[2659,24])).
% 116.78/116.82  cnf(2790,plain,
% 116.78/116.82     (~P2(f8(a1,x27901),f8(f7(a5),x27902))),
% 116.78/116.82     inference(scs_inference,[],[2776,2778,2659,24,36,37])).
% 116.78/116.82  cnf(2792,plain,
% 116.78/116.82     (~E(f8(f7(a6),a1),f8(x27921,a5))),
% 116.78/116.82     inference(scs_inference,[],[2662,2686,2776,2778,2659,24,36,37,17])).
% 116.78/116.82  cnf(2793,plain,
% 116.78/116.82     (~E(a1,a5)),
% 116.78/116.82     inference(scs_inference,[],[2662,2686,2776,2778,2659,24,36,37,17,6])).
% 116.78/116.82  cnf(2803,plain,
% 116.78/116.82     (~E(f8(f7(a6),f8(a1,x28031)),a1)),
% 116.78/116.82     inference(scs_inference,[],[20,2671,2772,2792,36,37,17])).
% 116.78/116.82  cnf(2810,plain,
% 116.78/116.82     (~E(f8(f8(f7(a6),f8(a1,x28101)),f8(a1,x28102)),a1)),
% 116.78/116.82     inference(scs_inference,[],[20,2786,2793,2688,36,37,17])).
% 116.78/116.82  cnf(2820,plain,
% 116.78/116.82     (~P2(f8(f8(f7(a6),f8(a1,x28201)),f8(a1,x28202)),f7(a1))),
% 116.78/116.82     inference(scs_inference,[],[2810,36])).
% 116.78/116.82  cnf(3654,plain,
% 116.78/116.82     (P2(a6,f8(a5,f8(a1,x36541)))),
% 116.78/116.82     inference(scs_inference,[],[2641,2691,472,47])).
% 116.78/116.82  cnf(3656,plain,
% 116.78/116.82     (~P2(f4(f7(a6),a5,f7(a6)),f8(a1,x36561))),
% 116.78/116.82     inference(scs_inference,[],[2641,2704,2691,472,47,38])).
% 116.78/116.82  cnf(3658,plain,
% 116.78/116.82     (E(f4(f8(x36581,a5),f8(x36581,a5),f7(a6)),a6)),
% 116.78/116.82     inference(scs_inference,[],[2641,2704,2691,2589,472,47,38,36])).
% 116.78/116.82  cnf(3663,plain,
% 116.78/116.82     (~E(f8(x36631,f7(a6)),f7(a6))),
% 116.78/116.82     inference(scs_inference,[],[1430,2592,2641,2704,2691,2589,472,47,38,36,24,2,22])).
% 116.78/116.82  cnf(3666,plain,
% 116.78/116.82     (E(f4(f8(x36661,a5),f8(x36661,a5),f7(a6)),f4(f7(a6),f7(a6),f7(a6)))),
% 116.78/116.82     inference(scs_inference,[],[1430,2592,2639,2641,2704,2691,2589,472,47,38,36,24,2,22,3])).
% 116.78/116.82  cnf(3667,plain,
% 116.78/116.82     (~P2(f4(f7(a6),f7(a6),f7(a6)),f8(f8(x36671,a5),x36672))),
% 116.78/116.82     inference(scs_inference,[],[1430,2774,2592,2639,2638,2641,2704,2691,2589,472,47,38,36,24,2,22,3,16])).
% 116.78/116.82  cnf(3684,plain,
% 116.78/116.82     (E(f4(a5,f7(a6),a5),a6)),
% 116.78/116.82     inference(scs_inference,[],[70,36])).
% 116.78/116.82  cnf(3687,plain,
% 116.78/116.82     (~E(f7(a6),f8(f8(a1,x36871),x36872))),
% 116.78/116.82     inference(scs_inference,[],[3656,2777,2674,70,36,2,28])).
% 116.78/116.82  cnf(3689,plain,
% 116.78/116.82     (~E(f8(a1,x36891),f7(a6))),
% 116.78/116.82     inference(scs_inference,[],[3656,2777,2674,1329,70,36,2,28,22])).
% 116.78/116.82  cnf(3691,plain,
% 116.78/116.82     (~E(f8(a1,x36911),f8(f7(a6),f8(a1,x36911)))),
% 116.78/116.82     inference(scs_inference,[],[3656,2777,2674,1329,70,36,2,28,22,30])).
% 116.78/116.82  cnf(3693,plain,
% 116.78/116.82     (E(a6,x36931)+~E(f8(a5,f8(a1,x36932)),f7(x36931))),
% 116.78/116.82     inference(scs_inference,[],[3656,3654,2777,2674,1329,70,36,2,28,22,30,23])).
% 116.78/116.82  cnf(3695,plain,
% 116.78/116.82     (~P2(a5,f4(f8(x36951,a5),f8(x36951,a5),f7(a6)))),
% 116.78/116.82     inference(scs_inference,[],[3656,3658,3654,2777,2674,2717,1329,70,36,2,28,22,30,23,17])).
% 116.78/116.82  cnf(3711,plain,
% 116.78/116.82     (~E(f7(a6),f8(a1,x37111))),
% 116.78/116.82     inference(scs_inference,[],[3689,2])).
% 116.78/116.82  cnf(3712,plain,
% 116.78/116.82     (~E(a5,f8(f8(a1,x37121),x37122))),
% 116.78/116.82     inference(scs_inference,[],[3689,2680,3656,2,28])).
% 116.78/116.82  cnf(3715,plain,
% 116.78/116.82     (~E(f8(a1,x37151),f8(a5,f8(a1,x37151)))),
% 116.78/116.82     inference(scs_inference,[],[3689,3684,2680,3656,40,2,28,16,30])).
% 116.78/116.82  cnf(3717,plain,
% 116.78/116.82     (P2(f4(f8(x37171,a5),f8(x37171,a5),f7(a6)),x37172)+~E(x37172,f7(a6))),
% 116.78/116.82     inference(scs_inference,[],[3689,3684,2680,3658,3656,40,2,28,16,30,22])).
% 116.78/116.82  cnf(3724,plain,
% 116.78/116.82     (P2(f4(f7(a6),f7(a6),f7(a6)),x37241)+~E(f7(a6),f8(x37241,x37242))),
% 116.78/116.82     inference(scs_inference,[],[3691,2674,2686,2597,2,30,28])).
% 116.78/116.82  cnf(3728,plain,
% 116.78/116.82     (~E(f8(a5,f8(a1,x37281)),f8(a1,x37282))),
% 116.78/116.82     inference(scs_inference,[],[3715,3654,20,2,28])).
% 116.78/116.82  cnf(3730,plain,
% 116.78/116.82     (~P2(f4(a5,f7(a6),a5),a1)),
% 116.78/116.82     inference(scs_inference,[],[3715,3684,3654,20,2,28,16])).
% 116.78/116.82  cnf(3731,plain,
% 116.78/116.82     (P2(f4(f7(a6),f7(a6),f7(a6)),x37311)+~E(x37311,f7(a6))),
% 116.78/116.82     inference(scs_inference,[],[3715,3684,3654,2638,20,2,28,16,22])).
% 116.78/116.82  cnf(3733,plain,
% 116.78/116.82     (E(f4(f7(a6),f7(a6),f7(a6)),x37331)+~E(f7(x37331),f7(a6))),
% 116.78/116.82     inference(scs_inference,[],[3715,3684,3654,2638,20,2,28,16,22,36])).
% 116.78/116.82  cnf(3737,plain,
% 116.78/116.82     (~E(f7(x37371),f7(a6))+~E(f7(x37371),f8(x37372,f7(x37371)))),
% 116.84/116.82     inference(scs_inference,[],[3715,3684,3654,2638,20,2,28,16,22,36,24,29])).
% 116.84/116.82  cnf(3739,plain,
% 116.84/116.82     (P2(f4(f7(a6),f7(a6),f7(a6)),x37391)+P2(f4(f7(a6),f7(a6),f7(a6)),f8(f7(a6),x37391))+~E(f7(x37392),f7(a6))),
% 116.84/116.82     inference(scs_inference,[],[3715,3684,3654,2638,2597,20,2,28,16,22,36,24,29,39])).
% 116.84/116.82  cnf(3743,plain,
% 116.84/116.82     (P2(f4(f7(a6),f7(a6),f7(a6)),x37431)+P2(f4(f7(a6),f7(a6),f7(a6)),f8(f7(a6),x37431))),
% 116.84/116.82     inference(equality_inference,[],[3739])).
% 116.84/116.82  cnf(3750,plain,
% 116.84/116.82     (P2(f4(f8(x37501,a5),f8(x37501,a5),f7(a6)),x37502)+~E(f7(a6),f8(x37502,x37503))),
% 116.84/116.82     inference(scs_inference,[],[3728,3695,3656,2686,2589,2,39,22,28])).
% 116.84/116.82  cnf(3752,plain,
% 116.84/116.82     (~E(f8(f8(a1,x37521),x37522),f7(a6))),
% 116.84/116.82     inference(scs_inference,[],[3687,2])).
% 116.84/116.82  cnf(3753,plain,
% 116.84/116.82     (~E(f8(a5,f8(x37531,a5)),f8(a1,x37532))),
% 116.84/116.82     inference(scs_inference,[],[3687,2714,20,2,28])).
% 116.84/116.82  cnf(3755,plain,
% 116.84/116.82     (P1(f4(f8(x37551,a5),f8(x37551,a5),f7(a6)),a6)),
% 116.84/116.82     inference(scs_inference,[],[3687,2714,3658,19,20,2,28,15])).
% 116.84/116.82  cnf(3756,plain,
% 116.84/116.82     (P1(x37561,x37561)),
% 116.84/116.82     inference(rename_variables,[],[19])).
% 116.84/116.82  cnf(3759,plain,
% 116.84/116.82     (~P2(f7(a6),x37591)+~E(x37591,f7(f8(a1,x37592)))),
% 116.84/116.82     inference(scs_inference,[],[3711,3687,2714,3658,19,3756,20,2,28,15,14,23])).
% 116.84/116.82  cnf(3764,plain,
% 116.84/116.82     (~P2(f7(a6),f7(f8(a1,x37641)))),
% 116.84/116.82     inference(equality_inference,[],[3759])).
% 116.84/116.82  cnf(3767,plain,
% 116.84/116.82     (E(a6,x37671)+~E(f8(f7(a6),f8(x37672,a5)),f7(x37671))),
% 116.84/116.82     inference(scs_inference,[],[3753,2699,3654,2711,2,17,23])).
% 116.84/116.82  cnf(3790,plain,
% 116.84/116.82     (~E(f8(f8(a1,x37901),x37902),a5)),
% 116.84/116.82     inference(scs_inference,[],[3712,2])).
% 116.84/116.82  cnf(3797,plain,
% 116.84/116.82     (~E(f8(x37971,f7(a6)),a5)),
% 116.84/116.82     inference(scs_inference,[],[2690,2])).
% 116.84/116.82  cnf(3805,plain,
% 116.84/116.82     (~P2(x38051,a1)+P2(x38051,a5)),
% 116.84/116.82     inference(scs_inference,[],[18,2803,2,26])).
% 116.84/116.82  cnf(3816,plain,
% 116.84/116.82     (P1(f4(f7(a6),f7(a6),f7(a6)),a6)),
% 116.84/116.82     inference(scs_inference,[],[2792,2638,19,2,15])).
% 116.84/116.82  cnf(3825,plain,
% 116.84/116.82     (~P2(a5,f4(f7(a6),f7(a6),f7(a6)))),
% 116.84/116.82     inference(scs_inference,[],[3816,2776,2717,2,26])).
% 116.84/116.82  cnf(3843,plain,
% 116.84/116.82     (~E(a5,x38431)+~E(f4(f7(a6),f7(a6),f7(a6)),f7(x38431))),
% 116.84/116.82     inference(scs_inference,[],[3825,1347,2,22])).
% 116.84/116.82  cnf(3847,plain,
% 116.84/116.82     (E(a6,x38471)+~E(f7(a6),f7(x38471))),
% 116.84/116.82     inference(scs_inference,[],[1113,2641,2,23])).
% 116.84/116.82  cnf(3865,plain,
% 116.84/116.82     (~P2(f8(f8(a1,x38651),x38652),x38653)+~E(x38653,f7(a5))),
% 116.84/116.82     inference(scs_inference,[],[3790,137,2,23])).
% 116.84/116.82  cnf(3870,plain,
% 116.84/116.82     (~P2(f8(f8(a1,x38701),x38702),f7(a5))),
% 116.84/116.82     inference(equality_inference,[],[3865])).
% 116.84/116.82  cnf(3872,plain,
% 116.84/116.82     (~E(f8(f8(a1,x38721),x38722),x38723)+~E(f7(a5),f7(x38723))),
% 116.84/116.82     inference(scs_inference,[],[3870,120,2,22])).
% 116.84/116.82  cnf(3875,plain,
% 116.84/116.82     (~E(f8(f8(x38751,a5),x38752),f7(a6))),
% 116.84/116.82     inference(scs_inference,[],[113,2])).
% 116.84/116.82  cnf(3882,plain,
% 116.84/116.82     (~E(f8(f8(x38821,a5),x38822),a5)),
% 116.84/116.82     inference(scs_inference,[],[207,2])).
% 116.84/116.82  cnf(3883,plain,
% 116.84/116.82     (E(a6,x38831)+~E(f8(a5,f8(x38832,a5)),f7(x38831))),
% 116.84/116.82     inference(scs_inference,[],[2714,207,2,23])).
% 116.84/116.82  cnf(3956,plain,
% 116.84/116.82     (~P2(f8(f8(x39561,a5),x39562),x39563)+~E(x39563,f7(a5))),
% 116.84/116.82     inference(scs_inference,[],[3882,23])).
% 116.84/116.82  cnf(3961,plain,
% 116.84/116.82     (~P2(f8(f8(x39611,a5),x39612),f7(a5))),
% 116.84/116.82     inference(equality_inference,[],[3956])).
% 116.84/116.82  cnf(3962,plain,
% 116.84/116.82     (E(a6,x39621)+~E(f8(f7(a6),a1),f7(x39621))),
% 116.84/116.82     inference(scs_inference,[],[2648,23])).
% 116.84/116.82  cnf(3978,plain,
% 116.84/116.82     (~E(f8(f8(x39781,a5),x39782),x39783)+~E(f7(a5),f7(x39783))),
% 116.84/116.82     inference(scs_inference,[],[3961,22])).
% 116.84/116.82  cnf(3981,plain,
% 116.84/116.82     (~P2(f8(x39811,f7(a6)),x39812)+~E(x39812,f7(a5))),
% 116.84/116.82     inference(scs_inference,[],[3797,23])).
% 116.84/116.82  cnf(3986,plain,
% 116.84/116.82     (~P2(f8(x39861,f7(a6)),f7(a5))),
% 116.84/116.82     inference(equality_inference,[],[3981])).
% 116.84/116.82  cnf(3993,plain,
% 116.84/116.82     (E(a6,x39931)+~E(a5,f7(x39931))),
% 116.84/116.82     inference(scs_inference,[],[2691,23])).
% 116.84/116.82  cnf(4023,plain,
% 116.84/116.82     (E(a6,x40231)+~E(f8(f7(a6),f8(a1,x40232)),f7(x40231))),
% 116.84/116.82     inference(scs_inference,[],[2671,23])).
% 116.84/116.82  cnf(4080,plain,
% 116.84/116.82     (~E(f7(f8(x40801,a5)),f7(f3(a5,x40802)))+E(x40802,f7(a5))+P2(f3(a5,x40802),x40802)),
% 116.84/116.83     inference(scs_inference,[],[72,22,2,27])).
% 116.84/116.83  cnf(4084,plain,
% 116.84/116.83     (~E(f8(f7(a6),f8(x40841,a5)),f8(a1,x40842))),
% 116.84/116.83     inference(scs_inference,[],[20,42,2711,2638,16,23,28])).
% 116.84/116.83  cnf(4092,plain,
% 116.84/116.83     (~P2(x40921,f4(f7(a6),a5,f7(a6)))+~E(x40921,f7(a6))),
% 116.84/116.83     inference(scs_inference,[],[2681,16])).
% 116.84/116.83  cnf(4102,plain,
% 116.84/116.83     (~P2(f4(f8(x41021,a5),f8(x41021,a5),f7(a6)),a1)),
% 116.84/116.83     inference(scs_inference,[],[20,3658,16])).
% 116.84/116.83  cnf(4109,plain,
% 116.84/116.83     (~P2(x41091,a1)+~E(x41091,f4(f8(x41092,a5),f8(x41092,a5),f7(a6)))),
% 116.84/116.83     inference(scs_inference,[],[4102,16])).
% 116.84/116.83  cnf(4115,plain,
% 116.84/116.83     (~P2(f8(f8(a1,x41151),x41152),x41153)+~E(x41153,f8(f7(a5),x41154))),
% 116.84/116.83     inference(scs_inference,[],[3870,4084,23,28])).
% 116.84/116.83  cnf(4118,plain,
% 116.84/116.83     (~P2(f8(f8(a1,x41181),x41182),f8(f7(a5),x41183))),
% 116.84/116.83     inference(equality_inference,[],[4115])).
% 116.84/116.83  cnf(4226,plain,
% 116.84/116.83     (~P2(x42261,f8(f7(a1),x42262))+~E(x42261,f7(a6))),
% 116.84/116.83     inference(scs_inference,[],[2669,16])).
% 116.84/116.83  cnf(4236,plain,
% 116.84/116.83     (~P2(f8(a1,x42361),x42362)+~E(x42362,f7(f7(a6)))),
% 116.84/116.83     inference(scs_inference,[],[3689,23])).
% 116.84/116.83  cnf(4239,plain,
% 116.84/116.83     (~P2(f8(a1,x42391),f7(f7(a6)))),
% 116.84/116.83     inference(equality_inference,[],[4236])).
% 116.84/116.83  cnf(4259,plain,
% 116.84/116.83     (~E(f8(a1,x42591),x42592)+~E(f7(f7(a6)),f7(x42592))),
% 116.84/116.83     inference(scs_inference,[],[4239,22])).
% 116.84/116.83  cnf(4262,plain,
% 116.84/116.83     (E(f4(a5,f7(a6),a5),x42621)+~E(f7(a6),f7(x42621))),
% 116.84/116.83     inference(scs_inference,[],[70,23])).
% 116.84/116.83  cnf(4371,plain,
% 116.84/116.83     (~P2(f8(x43711,a5),x43712)+~E(x43712,f7(a5))),
% 116.84/116.83     inference(scs_inference,[],[121,23])).
% 116.84/116.83  cnf(4384,plain,
% 116.84/116.83     (~P2(f8(a1,x43841),x43842)+~E(x43842,f7(a5))),
% 116.84/116.83     inference(scs_inference,[],[2777,23])).
% 116.84/116.83  cnf(4397,plain,
% 116.84/116.83     (~E(a5,x43971)+~E(f4(a5,f7(a6),a1),f7(x43971))),
% 116.84/116.83     inference(scs_inference,[],[185,1114,30,22])).
% 116.84/116.83  cnf(4429,plain,
% 116.84/116.83     (~P2(x44291,f4(f7(a6),f7(a6),f7(a6)))+~E(x44291,f7(a6))),
% 116.84/116.83     inference(scs_inference,[],[42,2600,3,16])).
% 116.84/116.83  cnf(4585,plain,
% 116.84/116.83     (~E(a5,x45851)+~E(f4(a5,f7(a6),a5),f7(x45851))),
% 116.84/116.83     inference(scs_inference,[],[61,22])).
% 116.84/116.83  cnf(4589,plain,
% 116.84/116.83     (~P2(x45891,a1)+~E(x45891,f4(a5,f7(a6),a5))),
% 116.84/116.83     inference(scs_inference,[],[3730,2642,30,16])).
% 116.84/116.83  cnf(4645,plain,
% 116.84/116.83     (P2(f4(f7(a6),f7(a6),f7(a6)),a5)),
% 116.84/116.83     inference(scs_inference,[],[2651,2699,2638,2597,16,22,39])).
% 116.84/116.83  cnf(4710,plain,
% 116.84/116.83     (~E(a5,f7(f7(a5)))),
% 116.84/116.83     inference(scs_inference,[],[4645,23,4371,4384,3843])).
% 116.84/116.83  cnf(4714,plain,
% 116.84/116.83     (~E(f7(f7(a5)),a5)),
% 116.84/116.83     inference(scs_inference,[],[4710,2])).
% 116.84/116.83  cnf(4733,plain,
% 116.84/116.83     (~P2(f7(f7(a5)),x47331)+~E(x47331,f7(a5))),
% 116.84/116.83     inference(scs_inference,[],[4714,23])).
% 116.84/116.83  cnf(4738,plain,
% 116.84/116.83     (~P2(f7(f7(a5)),f7(a5))),
% 116.84/116.83     inference(equality_inference,[],[4733])).
% 116.84/116.83  cnf(4799,plain,
% 116.84/116.83     (~P2(x47991,f4(f8(x47992,a5),f8(x47992,a5),f7(a6)))+~E(x47991,f7(a6))),
% 116.84/116.83     inference(scs_inference,[],[2590,4738,28,16])).
% 116.84/116.83  cnf(4811,plain,
% 116.84/116.83     (~P2(x48111,a6)+~E(x48111,f7(a6))),
% 116.84/116.83     inference(scs_inference,[],[2642,16])).
% 116.84/116.83  cnf(4890,plain,
% 116.84/116.83     (~P2(f4(f8(x48901,a5),f8(x48901,a5),f7(a6)),f8(x48902,a5))),
% 116.84/116.83     inference(scs_inference,[],[2699,3658,16])).
% 116.84/116.83  cnf(4918,plain,
% 116.84/116.83     (~E(x49181,f7(a6))+~E(f8(f8(a1,x49182),x49183),x49181)),
% 116.84/116.83     inference(scs_inference,[],[4890,3752,16,3])).
% 116.84/116.83  cnf(4957,plain,
% 116.84/116.83     (~E(x49571,f7(a6))+~E(f8(f8(x49572,a5),x49573),x49571)),
% 116.84/116.83     inference(scs_inference,[],[3875,3])).
% 116.84/116.83  cnf(4958,plain,
% 116.84/116.83     (~E(x49581,f8(f8(x49582,a5),x49583))+~E(x49581,f7(a6))),
% 116.84/116.83     inference(scs_inference,[],[3875,3,2])).
% 116.84/116.83  cnf(4981,plain,
% 116.84/116.83     (~E(f8(a1,x49811),x49812)+~E(f7(a5),f7(x49812))),
% 116.84/116.83     inference(scs_inference,[],[2778,22])).
% 116.84/116.83  cnf(5049,plain,
% 116.84/116.83     (~P2(x50491,f4(a5,f7(a6),a5))+~E(x50491,f7(a6))),
% 116.84/116.83     inference(scs_inference,[],[80,16])).
% 116.84/116.83  cnf(5088,plain,
% 116.84/116.83     (~P2(x50881,f8(f8(a6,x50882),x50883))+~E(x50881,f7(a6))),
% 116.84/116.83     inference(scs_inference,[],[2657,16])).
% 116.84/116.83  cnf(5141,plain,
% 116.84/116.83     (~E(x51411,f7(a6))+~E(f8(a1,x51412),x51411)),
% 116.84/116.83     inference(scs_inference,[],[3689,3])).
% 116.84/116.83  cnf(5142,plain,
% 116.84/116.83     (~P2(x51421,f7(f8(x51422,a5)))+~E(x51421,f7(a6))),
% 116.84/116.83     inference(scs_inference,[],[87,16])).
% 116.84/116.83  cnf(5156,plain,
% 116.84/116.83     (~P2(x51561,f8(a6,x51562))+~E(x51561,f7(a6))),
% 116.84/116.83     inference(scs_inference,[],[2644,16])).
% 116.84/116.83  cnf(5159,plain,
% 116.84/116.83     (~E(f7(a6),x51591)+~E(a6,f7(x51591))),
% 116.84/116.83     inference(scs_inference,[],[2642,22])).
% 116.84/116.83  cnf(5175,plain,
% 116.84/116.83     (~E(x51751,f7(a6))+~E(f8(x51752,a5),x51751)),
% 116.84/116.83     inference(scs_inference,[],[100,3])).
% 116.84/116.83  cnf(5176,plain,
% 116.84/116.83     (~E(a6,f7(f7(f4(f7(a6),f7(a6),f7(a6)))))),
% 116.84/116.83     inference(scs_inference,[],[2639,5159,4])).
% 116.84/116.83  cnf(5201,plain,
% 116.84/116.83     (~P2(x52011,f7(f8(a1,x52012)))+~E(x52011,f7(a6))),
% 116.84/116.83     inference(scs_inference,[],[3764,16])).
% 116.84/116.83  cnf(5228,plain,
% 116.84/116.83     (~E(f8(x52281,f7(a6)),x52282)+~E(f7(a5),f7(x52282))),
% 116.84/116.83     inference(scs_inference,[],[3986,22])).
% 116.84/116.83  cnf(5263,plain,
% 116.84/116.83     (~E(x52631,f7(a6))+~E(f8(x52632,f7(a6)),x52631)),
% 116.84/116.83     inference(scs_inference,[],[3663,3])).
% 116.84/116.83  cnf(5286,plain,
% 116.84/116.83     (~E(f8(a1,x52861),x52862)+~E(f8(f7(a5),x52863),f7(x52862))),
% 116.84/116.83     inference(scs_inference,[],[2790,22])).
% 116.84/116.83  cnf(5315,plain,
% 116.84/116.83     (~P2(x53151,f7(a1))+~E(x53151,f7(a6))),
% 116.84/116.83     inference(scs_inference,[],[2651,16])).
% 116.84/116.83  cnf(5390,plain,
% 116.84/116.83     (~E(a5,x53901)+~E(f8(a6,x53902),f7(x53901))),
% 116.84/116.83     inference(scs_inference,[],[2763,22])).
% 116.84/116.83  cnf(5438,plain,
% 116.84/116.83     (~E(x54381,f7(a6))+~E(a1,x54381)),
% 116.84/116.83     inference(scs_inference,[],[2750,3])).
% 116.84/116.83  cnf(5450,plain,
% 116.84/116.83     (~E(f8(x54501,a5),x54502)+~E(f7(a5),f7(x54502))),
% 116.84/116.83     inference(scs_inference,[],[159,22])).
% 116.84/116.83  cnf(5527,plain,
% 116.84/116.83     (~E(x55271,f8(a1,x55272))+~E(x55271,f7(a6))),
% 116.84/116.83     inference(scs_inference,[],[5141,2])).
% 116.84/116.83  cnf(5570,plain,
% 116.84/116.83     (~P2(f8(a6,x55701),f7(f7(x55702)))+~E(a5,x55702)),
% 116.84/116.83     inference(scs_inference,[],[5390,36])).
% 116.84/116.83  cnf(5571,plain,
% 116.84/116.83     (~P2(f8(a6,x55711),f7(f7(a5)))),
% 116.84/116.83     inference(equality_inference,[],[5570])).
% 116.84/116.83  cnf(5572,plain,
% 116.84/116.83     (~E(f8(a6,x55721),x55722)+~E(f7(f7(a5)),f7(x55722))),
% 116.84/116.83     inference(scs_inference,[],[5571,22])).
% 116.84/116.83  cnf(5894,plain,
% 116.84/116.83     (~E(f7(x58941),f7(f7(a6)))+~E(f8(a1,x58942),x58941)),
% 116.84/116.83     inference(scs_inference,[],[4259,2])).
% 116.84/116.83  cnf(5897,plain,
% 116.84/116.83     (~P2(f4(a5,f7(a6),a1),f7(f7(x58971)))+~E(a5,x58971)),
% 116.84/116.83     inference(scs_inference,[],[4397,36])).
% 116.84/116.83  cnf(5898,plain,
% 116.84/116.83     (~P2(f4(a5,f7(a6),a1),f7(f7(a5)))),
% 116.84/116.83     inference(equality_inference,[],[5897])).
% 116.84/116.83  cnf(5910,plain,
% 116.84/116.83     (~E(f7(a6),f7(f7(x59101)))+~E(a5,x59101)),
% 116.84/116.83     inference(scs_inference,[],[4585,4262])).
% 116.84/116.83  cnf(5911,plain,
% 116.84/116.83     (~E(f7(f7(x59111)),f7(a6))+~E(a5,x59111)),
% 116.84/116.83     inference(scs_inference,[],[5910,2])).
% 116.84/116.83  cnf(5912,plain,
% 116.84/116.83     (~E(f7(x59121),a6)+~E(a5,x59121)),
% 116.84/116.83     inference(scs_inference,[],[5911,4])).
% 116.84/116.83  cnf(5913,plain,
% 116.84/116.83     (~E(x59131,a5)+~E(f7(x59131),a6)),
% 116.84/116.83     inference(scs_inference,[],[5912,2])).
% 116.84/116.83  cnf(5914,plain,
% 116.84/116.83     (~P2(f7(x59141),f7(a6))+~E(x59141,a5)),
% 116.84/116.83     inference(scs_inference,[],[5913,36])).
% 116.84/116.83  cnf(5915,plain,
% 116.84/116.83     (~P2(f7(a5),f7(a6))),
% 116.84/116.83     inference(equality_inference,[],[5914])).
% 116.84/116.83  cnf(5916,plain,
% 116.84/116.83     (~E(a6,f7(a5))),
% 116.84/116.83     inference(scs_inference,[],[5915,2641,16])).
% 116.84/116.83  cnf(5919,plain,
% 116.84/116.83     (~E(f7(a5),a6)),
% 116.84/116.83     inference(scs_inference,[],[5915,2641,16,3847,2])).
% 116.84/116.83  cnf(5920,plain,
% 116.84/116.83     (~E(f7(a5),x59201)+~E(f7(a6),f7(x59201))),
% 116.84/116.83     inference(scs_inference,[],[5915,2641,16,3847,2,22])).
% 116.84/116.83  cnf(5927,plain,
% 116.84/116.83     (~E(f7(a5),f4(f7(a6),a5,f7(a6)))),
% 116.84/116.83     inference(scs_inference,[],[1330,5920,4])).
% 116.84/116.83  cnf(5929,plain,
% 116.84/116.83     (~E(f4(f7(a6),f7(a6),f7(a6)),f7(a5))),
% 116.84/116.83     inference(scs_inference,[],[5916,5927,2639,2,3])).
% 116.84/116.83  cnf(5930,plain,
% 116.84/116.83     (~E(f7(f7(a5)),f7(a6))),
% 116.84/116.83     inference(scs_inference,[],[5916,5927,2639,2,3,3733])).
% 116.84/116.83  cnf(5936,plain,
% 116.84/116.83     (~E(f7(a5),f4(f7(a6),f7(a6),f7(a6)))),
% 116.84/116.83     inference(scs_inference,[],[5929,2])).
% 116.84/116.83  cnf(5937,plain,
% 116.84/116.83     (~E(f7(a5),f4(a5,f7(a6),a5))),
% 116.84/116.83     inference(scs_inference,[],[5929,5919,3684,2,3])).
% 116.84/116.83  cnf(5940,plain,
% 116.84/116.83     (~E(x59401,f7(a6))+~E(f7(f7(a5)),x59401)),
% 116.84/116.83     inference(scs_inference,[],[5930,5937,2,3])).
% 116.84/116.83  cnf(5941,plain,
% 116.84/116.83     (~E(f7(a5),x59411)+~E(f7(x59411),f7(a6))),
% 116.84/116.83     inference(scs_inference,[],[5940,4])).
% 116.84/116.83  cnf(5948,plain,
% 116.84/116.83     (~E(f7(a5),f4(f8(x59481,a5),f8(x59481,a5),f7(a6)))),
% 116.84/116.83     inference(scs_inference,[],[3658,5941,4])).
% 116.84/116.83  cnf(5949,plain,
% 116.84/116.83     (~E(f4(f8(x59491,a5),f8(x59491,a5),f7(a6)),f7(a5))),
% 116.84/116.83     inference(scs_inference,[],[5948,2])).
% 116.84/116.83  cnf(5970,plain,
% 116.84/116.83     (~E(x59701,f8(f8(a1,x59702),x59703))+~E(x59701,f7(a6))),
% 116.84/116.83     inference(scs_inference,[],[4918,2])).
% 116.84/116.83  cnf(6007,plain,
% 116.84/116.83     (~E(f7(a5),x60071)+~E(f8(a6,x60072),x60071)),
% 116.84/116.83     inference(scs_inference,[],[5572,4])).
% 116.84/116.83  cnf(6008,plain,
% 116.84/116.83     (~E(f7(a5),f8(f4(f7(a6),f7(a6),f7(a6)),x60081))),
% 116.84/116.83     inference(scs_inference,[],[2639,6007,5])).
% 116.84/116.83  cnf(6034,plain,
% 116.84/116.83     (~E(f7(f8(a1,a6)),f7(f7(a6)))),
% 116.84/116.83     inference(scs_inference,[],[3684,5894,6])).
% 116.84/116.83  cnf(6095,plain,
% 116.84/116.83     (P2(f2(a1,f8(a5,f7(a6))),a1)),
% 116.84/116.83     inference(scs_inference,[],[3667,245,2721,21,5438,5315,5175,5527,4226,5201,4429,4799,3743,488,25])).
% 116.84/116.83  cnf(6100,plain,
% 116.84/116.83     (E(f4(f7(a6),f7(a6),f7(a6)),f4(a5,f7(a6),a5))),
% 116.84/116.83     inference(scs_inference,[],[3667,3666,245,2721,21,5438,5315,5175,5527,4226,5201,4429,4799,3743,488,25,12,472,3733])).
% 116.84/116.83  cnf(6102,plain,
% 116.84/116.83     (~P2(f2(a1,f8(a5,f7(a6))),f8(a5,f7(a6)))),
% 116.84/116.83     inference(scs_inference,[],[3667,3666,245,2721,21,5438,5315,5175,5527,4226,5201,4429,4799,3743,488,25,12,472,3733,31])).
% 116.84/116.83  cnf(6109,plain,
% 116.84/116.83     (P2(a6,f8(f8(f8(f7(a6),f8(x61091,a5)),f8(a1,x61092)),f8(a1,x61093)))),
% 116.84/116.83     inference(scs_inference,[],[3667,3666,245,5176,2721,21,5438,5315,5175,5527,4226,5201,4429,4799,3743,488,25,12,472,3733,31,9,3993,24,47])).
% 116.84/116.83  cnf(6115,plain,
% 116.84/116.83     (E(f8(f4(f8(x61151,a5),f8(x61151,a5),f7(a6)),x61152),f8(f4(f7(a6),f7(a6),f7(a6)),x61152))),
% 116.84/116.83     inference(scs_inference,[],[3667,3666,245,5176,2721,21,5438,5315,5175,5527,4226,5201,4429,4799,3743,488,25,12,472,3733,31,9,3993,24,47,13,3847,4,5])).
% 116.84/116.83  cnf(6116,plain,
% 116.84/116.83     (E(f8(x61161,f4(f8(x61162,a5),f8(x61162,a5),f7(a6))),f8(x61161,f4(f7(a6),f7(a6),f7(a6))))),
% 116.84/116.83     inference(scs_inference,[],[3667,3666,245,5176,2721,21,5438,5315,5175,5527,4226,5201,4429,4799,3743,488,25,12,472,3733,31,9,3993,24,47,13,3847,4,5,6])).
% 116.84/116.83  cnf(6123,plain,
% 116.84/116.83     (P1(x61231,x61231)),
% 116.84/116.83     inference(rename_variables,[],[19])).
% 116.84/116.83  cnf(6127,plain,
% 116.84/116.83     (E(f4(f8(x61271,a5),f8(x61271,a5),f7(a6)),f4(f7(a6),f7(a6),f7(a6)))),
% 116.84/116.83     inference(rename_variables,[],[3666])).
% 116.84/116.83  cnf(6148,plain,
% 116.84/116.83     (~P2(f7(f4(a5,f7(a6),a5)),f8(a6,x61481))),
% 116.84/116.83     inference(scs_inference,[],[2703,1423,3667,3666,6127,245,615,631,5176,2667,5936,2735,2654,1421,2592,2721,3755,4645,19,6123,21,5438,5315,5175,5527,4226,5201,4429,4799,3743,488,25,12,472,3733,31,9,3993,24,47,13,3847,4,5,6,8,10,11,7,2,15,29,22,28,26,17,23,3,16,14,39,30,4811,5141,5156])).
% 116.84/116.83  cnf(6163,plain,
% 116.84/116.83     (~E(f2(a1,f8(a5,f7(a6))),f4(f8(x61631,a5),f8(x61631,a5),f7(a6)))),
% 116.84/116.83     inference(scs_inference,[],[2703,1423,3667,3666,6127,245,615,631,5176,2667,5936,2735,2654,1421,2592,2721,3755,4645,19,6123,21,5438,5315,5175,5527,4226,5201,4429,4799,3743,488,25,12,472,3733,31,9,3993,24,47,13,3847,4,5,6,8,10,11,7,2,15,29,22,28,26,17,23,3,16,14,39,30,4811,5141,5156,5940,5142,5263,5450,4918,4957,4958,5088,5970,3737,5049,4092,4109])).
% 116.84/116.83  cnf(6182,plain,
% 116.84/116.83     (P2(f2(a1,f8(a5,f7(a6))),a5)),
% 116.84/116.83     inference(scs_inference,[],[2703,1423,3667,3666,6127,245,615,631,5176,2667,5936,2735,2654,1421,2592,2721,3755,4645,19,6123,21,5438,5315,5175,5527,4226,5201,4429,4799,3743,488,25,12,472,3733,31,9,3993,24,47,13,3847,4,5,6,8,10,11,7,2,15,29,22,28,26,17,23,3,16,14,39,30,4811,5141,5156,5940,5142,5263,5450,4918,4957,4958,5088,5970,3737,5049,4092,4109,3717,3750,3731,3724,4023,3883,3767,3962,3693,3805])).
% 116.84/116.83  cnf(6188,plain,
% 116.84/116.83     (~E(f2(a1,f8(a5,f7(a6))),f4(a5,f7(a6),a5))),
% 116.84/116.83     inference(scs_inference,[],[2703,1423,3667,3666,6127,245,615,631,5176,2667,5949,5936,2735,2654,1421,2592,2721,3755,4645,19,6123,21,5438,5315,5175,5527,4226,5201,4429,4799,3743,488,25,12,472,3733,31,9,3993,24,47,13,3847,4,5,6,8,10,11,7,2,15,29,22,28,26,17,23,3,16,14,39,30,4811,5141,5156,5940,5142,5263,5450,4918,4957,4958,5088,5970,3737,5049,4092,4109,3717,3750,3731,3724,4023,3883,3767,3962,3693,3805,36,4080,4589])).
% 116.84/116.83  cnf(6199,plain,
% 116.84/116.83     (E(f8(x61991,f4(f8(x61992,a5),f8(x61992,a5),f7(a6))),f8(x61991,f4(f7(a6),f7(a6),f7(a6))))),
% 116.84/116.83     inference(rename_variables,[],[6116])).
% 116.84/116.83  cnf(6202,plain,
% 116.84/116.83     (E(f8(f4(f8(x62021,a5),f8(x62021,a5),f7(a6)),x62022),f8(f4(f7(a6),f7(a6),f7(a6)),x62022))),
% 116.84/116.83     inference(rename_variables,[],[6115])).
% 116.84/116.83  cnf(6205,plain,
% 116.84/116.83     (E(f8(x62051,f4(f8(x62052,a5),f8(x62052,a5),f7(a6))),f8(x62051,f4(f7(a6),f7(a6),f7(a6))))),
% 116.84/116.83     inference(rename_variables,[],[6116])).
% 116.84/116.83  cnf(6208,plain,
% 116.84/116.83     (E(f8(x62081,f4(f8(x62082,a5),f8(x62082,a5),f7(a6))),f8(x62081,f4(f7(a6),f7(a6),f7(a6))))),
% 116.84/116.83     inference(rename_variables,[],[6116])).
% 116.84/116.83  cnf(6211,plain,
% 116.84/116.83     (E(f8(x62111,f4(f8(x62112,a5),f8(x62112,a5),f7(a6))),f8(x62111,f4(f7(a6),f7(a6),f7(a6))))),
% 116.84/116.83     inference(rename_variables,[],[6116])).
% 116.84/116.83  cnf(6219,plain,
% 116.84/116.83     (P2(a6,f8(f8(f8(f8(f7(a6),f8(x62191,a5)),f8(a1,x62192)),f8(a1,x62193)),f8(a1,x62194)))),
% 116.84/116.83     inference(scs_inference,[],[6100,6109,6115,6116,6199,6205,6208,2688,4981,5228,5572,5894,5286,488,472,12,9,47])).
% 116.84/116.83  cnf(6221,plain,
% 116.84/116.83     (~P2(f8(f8(f8(f7(a6),f8(x62211,a5)),f8(a1,x62212)),f8(a1,x62213)),a6)),
% 116.84/116.83     inference(scs_inference,[],[6100,6109,6115,6116,6199,6205,6208,2688,4981,5228,5572,5894,5286,488,472,12,9,47,24])).
% 116.84/116.83  cnf(6226,plain,
% 116.84/116.83     (E(f8(x62261,f4(f7(a6),f7(a6),f7(a6))),f8(x62261,f4(a5,f7(a6),a5)))),
% 116.84/116.83     inference(scs_inference,[],[6100,6109,6115,6116,6199,6205,6208,2688,4981,5228,5572,5894,5286,488,472,12,9,47,24,13,4,5,6])).
% 116.84/116.83  cnf(6232,plain,
% 116.84/116.83     (~E(f8(f8(f8(f7(a6),f8(x62321,a5)),f8(a1,x62322)),f8(a1,x62323)),f8(x62324,f8(f8(f8(f7(a6),f8(x62321,a5)),f8(a1,x62322)),f8(a1,x62323))))),
% 116.84/116.83     inference(scs_inference,[],[6100,6034,6109,6115,6116,6199,6205,6208,2688,4981,5228,5572,5894,5286,488,472,12,9,47,24,13,4,5,6,8,10,11,7,2,29])).
% 116.84/116.83  cnf(6236,plain,
% 116.84/116.83     (E(f8(x62361,f4(f8(x62362,a5),f8(x62362,a5),f7(a6))),f8(x62361,f4(f7(a6),f7(a6),f7(a6))))),
% 116.84/116.83     inference(rename_variables,[],[6116])).
% 116.84/116.83  cnf(6238,plain,
% 116.84/116.83     (~E(f8(f8(f8(f7(a6),f8(x62381,a5)),f8(a1,x62382)),f8(a1,x62383)),f8(f8(x62384,a5),x62385))),
% 116.84/116.83     inference(scs_inference,[],[6100,4118,6034,6109,6115,6116,6199,6205,6208,6211,2688,2699,4981,5228,5572,5894,5286,488,472,12,9,47,24,13,4,5,6,8,10,11,7,2,29,22,28])).
% 116.84/116.83  cnf(6240,plain,
% 116.84/116.83     (~E(f8(a5,f8(x62401,a5)),f7(f7(a5)))),
% 116.84/116.83     inference(scs_inference,[],[6100,4118,5898,6034,6109,6115,6116,6199,6205,6208,6211,2688,189,2699,4981,5228,5572,5894,5286,488,472,12,9,47,24,13,4,5,6,8,10,11,7,2,29,22,28,17])).
% 116.84/116.83  cnf(6246,plain,
% 116.84/116.83     (P2(f2(a1,f8(a5,f7(a6))),f7(a6))),
% 116.84/116.83     inference(scs_inference,[],[6100,4118,5898,6034,6148,6109,6008,6182,6188,6102,6115,6202,6116,6199,6205,6208,6211,2688,189,2699,4981,5228,5572,5894,5286,488,472,12,9,47,24,13,4,5,6,8,10,11,7,2,29,22,28,17,23,3,16,39])).
% 116.84/116.83  cnf(6251,plain,
% 116.84/116.83     (E(f8(x62511,f4(f8(x62512,a5),f8(x62512,a5),f7(a6))),f8(x62511,f4(f7(a6),f7(a6),f7(a6))))),
% 116.84/116.83     inference(rename_variables,[],[6116])).
% 116.84/116.83  cnf(6254,plain,
% 116.84/116.83     (E(f8(x62541,f4(f8(x62542,a5),f8(x62542,a5),f7(a6))),f8(x62541,f4(f7(a6),f7(a6),f7(a6))))),
% 116.84/116.83     inference(rename_variables,[],[6116])).
% 116.84/116.83  cnf(6257,plain,
% 116.84/116.83     (E(f8(x62571,f4(f8(x62572,a5),f8(x62572,a5),f7(a6))),f8(x62571,f4(f7(a6),f7(a6),f7(a6))))),
% 116.84/116.83     inference(rename_variables,[],[6116])).
% 116.84/116.83  cnf(6262,plain,
% 116.84/116.83     (E(f2(a1,f8(a5,f7(a6))),a6)),
% 116.84/116.83     inference(scs_inference,[],[6100,4118,5898,6034,6148,6109,6008,6182,6188,6102,6115,6202,6116,6199,6205,6208,6211,6236,6251,6254,6257,2688,189,2699,4981,5228,5572,5894,5286,488,472,12,9,47,24,13,4,5,6,8,10,11,7,2,29,22,28,17,23,3,16,39,30,6007,4259,3872,3978,36])).
% 116.84/116.83  cnf(6300,plain,
% 116.84/116.83     (~E(f7(a6),f7(f4(f8(x63001,a5),f8(x63001,a5),f7(a6))))),
% 116.84/116.83     inference(scs_inference,[],[2820,6240,647,6246,6221,6095,6262,6163,6219,6226,2747,3816,488,472,12,9,47,24,13,4,5,6,8,10,11,7,2,29,22,26,28,17,23])).
% 116.84/116.83  cnf(6316,plain,
% 116.84/116.83     (E(a6,f4(f8(x63161,a5),f8(x63161,a5),f7(a6)))),
% 116.84/116.83     inference(scs_inference,[],[3658,2])).
% 116.84/116.83  cnf(6356,plain,
% 116.84/116.83     ($false),
% 116.84/116.83     inference(scs_inference,[],[99,245,3654,2646,6316,6238,6232,6300,2,38,36,6,37,5,4]),
% 116.84/116.83     ['proof']).
% 116.84/116.83  % SZS output end Proof
% 116.84/116.83  % Total time :116.120000s
%------------------------------------------------------------------------------