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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SEU129+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 : n021.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 15:01:11 EDT 2024

% Result   : Theorem 180.85s 180.80s
% Output   : CNFRefutation 181.01s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU129+1 : TPTP v8.2.0. Released v3.3.0.
% 0.07/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n021.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 13:45:24 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.20/0.59  start to proof:theBenchmark
% 180.81/180.78  %-------------------------------------------
% 180.81/180.78  % File        :CSE---1.7
% 180.81/180.78  % Problem     :theBenchmark
% 180.81/180.78  % Transform   :cnf
% 180.81/180.78  % Format      :tptp:raw
% 180.81/180.78  % Command     :java -jar mcs_scs.jar %d %s
% 180.81/180.78  
% 180.81/180.78  % Result      :Theorem 180.140000s
% 180.81/180.78  % Output      :CNFRefutation 180.140000s
% 180.81/180.78  %-------------------------------------------
% 180.81/180.80  %------------------------------------------------------------------------------
% 180.81/180.80  % File     : SEU129+1 : TPTP v8.2.0. Released v3.3.0.
% 180.81/180.80  % Domain   : Set theory
% 180.81/180.80  % Problem  : MPTP bushy problem t26_xboole_1
% 180.81/180.80  % Version  : [Urb07] axioms : Especial.
% 180.81/180.80  % English  :
% 180.81/180.80  
% 180.81/180.80  % Refs     : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 180.81/180.80  %          : [Urb07] Urban (2006), Email to G. Sutcliffe
% 180.81/180.80  % Source   : [Urb07]
% 180.81/180.80  % Names    : bushy-t26_xboole_1 [Urb07]
% 180.81/180.80  
% 180.81/180.80  % Status   : Theorem
% 180.81/180.80  % Rating   : 0.22 v8.2.0, 0.25 v7.5.0, 0.28 v7.4.0, 0.20 v7.3.0, 0.21 v7.2.0, 0.17 v7.1.0, 0.13 v7.0.0, 0.17 v6.4.0, 0.23 v6.3.0, 0.12 v6.2.0, 0.28 v6.1.0, 0.40 v6.0.0, 0.26 v5.5.0, 0.37 v5.4.0, 0.43 v5.3.0, 0.48 v5.2.0, 0.25 v5.1.0, 0.24 v5.0.0, 0.29 v4.1.0, 0.30 v4.0.0, 0.29 v3.7.0, 0.30 v3.5.0, 0.26 v3.4.0, 0.32 v3.3.0
% 180.81/180.80  % Syntax   : Number of formulae    :   16 (   9 unt;   0 def)
% 180.81/180.80  %            Number of atoms       :   27 (   6 equ)
% 180.81/180.80  %            Maximal formula atoms :    4 (   1 avg)
% 180.81/180.80  %            Number of connectives :   16 (   5   ~;   0   |;   4   &)
% 180.81/180.80  %                                         (   3 <=>;   4  =>;   0  <=;   0 <~>)
% 180.81/180.80  %            Maximal formula depth :    8 (   4 avg)
% 180.81/180.80  %            Maximal term depth    :    2 (   1 avg)
% 180.81/180.80  %            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
% 180.81/180.80  %            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
% 180.81/180.80  %            Number of variables   :   26 (  24   !;   2   ?)
% 180.81/180.80  % SPC      : FOF_THM_RFO_SEQ
% 180.81/180.80  
% 180.81/180.80  % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 180.81/180.80  %            library, www.mizar.org
% 180.81/180.80  %------------------------------------------------------------------------------
% 180.81/180.80  fof(antisymmetry_r2_hidden,axiom,
% 180.81/180.80      ! [A,B] :
% 180.81/180.80        ( in(A,B)
% 180.81/180.80       => ~ in(B,A) ) ).
% 180.81/180.80  
% 180.81/180.80  fof(commutativity_k3_xboole_0,axiom,
% 180.81/180.80      ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
% 180.81/180.80  
% 180.81/180.80  fof(d3_tarski,axiom,
% 180.81/180.80      ! [A,B] :
% 180.81/180.80        ( subset(A,B)
% 180.81/180.80      <=> ! [C] :
% 180.85/180.80            ( in(C,A)
% 180.85/180.80           => in(C,B) ) ) ).
% 180.85/180.80  
% 180.85/180.80  fof(d3_xboole_0,axiom,
% 180.85/180.80      ! [A,B,C] :
% 180.85/180.80        ( C = set_intersection2(A,B)
% 180.85/180.80      <=> ! [D] :
% 180.85/180.80            ( in(D,C)
% 180.85/180.80          <=> ( in(D,A)
% 180.85/180.80              & in(D,B) ) ) ) ).
% 180.85/180.80  
% 180.85/180.80  fof(dt_k1_xboole_0,axiom,
% 180.85/180.80      $true ).
% 180.85/180.80  
% 180.85/180.80  fof(dt_k3_xboole_0,axiom,
% 180.85/180.80      $true ).
% 180.85/180.80  
% 180.85/180.80  fof(fc1_xboole_0,axiom,
% 180.85/180.80      empty(empty_set) ).
% 180.85/180.80  
% 180.85/180.80  fof(idempotence_k3_xboole_0,axiom,
% 180.85/180.80      ! [A,B] : set_intersection2(A,A) = A ).
% 180.85/180.80  
% 180.85/180.80  fof(rc1_xboole_0,axiom,
% 180.85/180.80      ? [A] : empty(A) ).
% 180.85/180.80  
% 180.85/180.80  fof(rc2_xboole_0,axiom,
% 180.85/180.80      ? [A] : ~ empty(A) ).
% 180.85/180.80  
% 180.85/180.80  fof(reflexivity_r1_tarski,axiom,
% 180.85/180.80      ! [A,B] : subset(A,A) ).
% 180.85/180.80  
% 180.85/180.80  fof(t26_xboole_1,conjecture,
% 180.85/180.80      ! [A,B,C] :
% 180.85/180.80        ( subset(A,B)
% 180.85/180.80       => subset(set_intersection2(A,C),set_intersection2(B,C)) ) ).
% 180.85/180.80  
% 180.85/180.80  fof(t2_boole,axiom,
% 180.85/180.80      ! [A] : set_intersection2(A,empty_set) = empty_set ).
% 180.85/180.80  
% 180.85/180.80  fof(t6_boole,axiom,
% 180.85/180.80      ! [A] :
% 180.85/180.80        ( empty(A)
% 180.85/180.80       => A = empty_set ) ).
% 180.85/180.80  
% 180.85/180.80  fof(t7_boole,axiom,
% 180.85/180.80      ! [A,B] :
% 180.85/180.80        ~ ( in(A,B)
% 180.85/180.80          & empty(B) ) ).
% 180.85/180.80  
% 180.85/180.80  fof(t8_boole,axiom,
% 180.85/180.80      ! [A,B] :
% 180.85/180.80        ~ ( empty(A)
% 180.85/180.80          & A != B
% 180.85/180.80          & empty(B) ) ).
% 180.85/180.80  
% 180.85/180.80  %------------------------------------------------------------------------------
% 180.85/180.80  %-------------------------------------------
% 180.85/180.80  % Proof found
% 180.85/180.80  % SZS status Theorem for theBenchmark
% 180.85/180.80  % SZS output start Proof
% 180.85/180.82  %ClaNum:37(EqnAxiom:15)
% 180.85/180.82  %VarNum:99(SingletonVarNum:40)
% 180.85/180.82  %MaxLitNum:4
% 180.85/180.82  %MaxfuncDepth:1
% 180.85/180.82  %SharedTerms:13
% 180.85/180.82  %goalClause: 18 24
% 180.85/180.82  %singleGoalClaCount:2
% 180.85/180.82  [16]P1(a1)
% 180.85/180.82  [17]P1(a2)
% 180.85/180.82  [18]P2(a5,a7)
% 180.85/180.82  [23]~P1(a6)
% 180.85/180.82  [24]~P2(f8(a5,a9),f8(a7,a9))
% 180.85/180.82  [20]P2(x201,x201)
% 180.85/180.82  [19]E(f8(x191,a1),a1)
% 180.85/180.82  [21]E(f8(x211,x211),x211)
% 180.85/180.82  [22]E(f8(x221,x222),f8(x222,x221))
% 180.85/180.82  [25]~P1(x251)+E(x251,a1)
% 180.85/180.82  [27]~P1(x271)+~P3(x272,x271)
% 180.85/180.82  [28]~P3(x282,x281)+~P3(x281,x282)
% 180.85/180.82  [29]P2(x291,x292)+P3(f3(x291,x292),x291)
% 180.85/180.82  [33]P2(x331,x332)+~P3(f3(x331,x332),x332)
% 180.85/180.82  [26]~P1(x262)+~P1(x261)+E(x261,x262)
% 180.85/180.82  [30]~P2(x303,x302)+P3(x301,x302)+~P3(x301,x303)
% 180.85/180.82  [35]P3(f4(x352,x353,x351),x351)+P3(f4(x352,x353,x351),x353)+E(x351,f8(x352,x353))
% 180.85/180.82  [36]P3(f4(x362,x363,x361),x361)+P3(f4(x362,x363,x361),x362)+E(x361,f8(x362,x363))
% 180.85/180.82  [31]~P3(x311,x313)+P3(x311,x312)+~E(x313,f8(x314,x312))
% 180.85/180.82  [32]~P3(x321,x323)+P3(x321,x322)+~E(x323,f8(x322,x324))
% 180.85/180.82  [37]~P3(f4(x372,x373,x371),x371)+~P3(f4(x372,x373,x371),x373)+~P3(f4(x372,x373,x371),x372)+E(x371,f8(x372,x373))
% 180.85/180.82  [34]~P3(x341,x344)+~P3(x341,x343)+P3(x341,x342)+~E(x342,f8(x343,x344))
% 180.85/180.82  %EqnAxiom
% 180.85/180.82  [1]E(x11,x11)
% 180.85/180.82  [2]E(x22,x21)+~E(x21,x22)
% 180.85/180.82  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 180.85/180.82  [4]~E(x41,x42)+E(f8(x41,x43),f8(x42,x43))
% 180.85/180.82  [5]~E(x51,x52)+E(f8(x53,x51),f8(x53,x52))
% 180.85/180.82  [6]~E(x61,x62)+E(f4(x61,x63,x64),f4(x62,x63,x64))
% 180.85/180.82  [7]~E(x71,x72)+E(f4(x73,x71,x74),f4(x73,x72,x74))
% 180.85/180.82  [8]~E(x81,x82)+E(f4(x83,x84,x81),f4(x83,x84,x82))
% 180.85/180.82  [9]~E(x91,x92)+E(f3(x91,x93),f3(x92,x93))
% 180.85/180.82  [10]~E(x101,x102)+E(f3(x103,x101),f3(x103,x102))
% 180.85/180.82  [11]~P1(x111)+P1(x112)+~E(x111,x112)
% 180.85/180.82  [12]P3(x122,x123)+~E(x121,x122)+~P3(x121,x123)
% 180.85/180.82  [13]P3(x133,x132)+~E(x131,x132)+~P3(x133,x131)
% 180.85/180.82  [14]P2(x142,x143)+~E(x141,x142)+~P2(x141,x143)
% 180.85/180.82  [15]P2(x153,x152)+~E(x151,x152)+~P2(x153,x151)
% 180.85/180.82  
% 180.85/180.82  %-------------------------------------------
% 180.85/180.85  cnf(38,plain,
% 180.85/180.85     (~P3(x381,f8(x382,x383))+P3(x381,x383)),
% 180.85/180.85     inference(equality_inference,[],[31])).
% 180.85/180.85  cnf(39,plain,
% 180.85/180.85     (~P3(x391,f8(x392,x393))+P3(x391,x392)),
% 180.85/180.85     inference(equality_inference,[],[32])).
% 180.85/180.85  cnf(40,plain,
% 180.85/180.85     (~P3(x401,x402)+~P3(x401,x403)+P3(x401,f8(x403,x402))),
% 180.85/180.85     inference(equality_inference,[],[34])).
% 180.85/180.85  cnf(41,plain,
% 180.85/180.85     (~P3(x411,a1)),
% 180.85/180.85     inference(scs_inference,[],[16,27])).
% 180.85/180.85  cnf(43,plain,
% 180.85/180.85     (~P3(x431,f8(x432,a1))),
% 180.85/180.85     inference(scs_inference,[],[16,27,38])).
% 180.85/180.85  cnf(45,plain,
% 180.85/180.85     (~P3(x451,f8(a1,x452))),
% 180.85/180.85     inference(scs_inference,[],[16,27,38,39])).
% 180.85/180.85  cnf(47,plain,
% 180.85/180.85     (E(x471,f8(x471,x471))),
% 180.85/180.85     inference(scs_inference,[],[21,16,27,38,39,2])).
% 180.85/180.85  cnf(48,plain,
% 180.85/180.85     (P2(f8(a5,a5),a7)),
% 180.85/180.85     inference(scs_inference,[],[18,21,16,27,38,39,2,14])).
% 180.85/180.85  cnf(49,plain,
% 180.85/180.85     (~E(f8(a5,a9),f8(a7,a9))),
% 180.85/180.85     inference(scs_inference,[],[18,24,20,21,16,27,38,39,2,14,15])).
% 180.85/180.85  cnf(51,plain,
% 180.85/180.85     (~E(f8(a5,a9),f8(a9,a7))),
% 180.85/180.85     inference(scs_inference,[],[18,24,20,21,22,16,27,38,39,2,14,15,3])).
% 180.85/180.85  cnf(53,plain,
% 180.85/180.85     (P2(a1,x531)),
% 180.85/180.85     inference(scs_inference,[],[18,24,20,21,22,16,27,38,39,2,14,15,3,29])).
% 180.85/180.85  cnf(55,plain,
% 180.85/180.85     (~E(a5,a7)),
% 180.85/180.85     inference(scs_inference,[],[18,24,20,21,22,16,27,38,39,2,14,15,3,29,4])).
% 180.85/180.85  cnf(64,plain,
% 180.85/180.85     (~P3(x641,f8(f8(x642,a1),x643))),
% 180.85/180.85     inference(scs_inference,[],[43,39])).
% 180.85/180.85  cnf(66,plain,
% 180.85/180.85     (~P3(x661,a2)),
% 180.85/180.85     inference(scs_inference,[],[43,17,39,27])).
% 180.85/180.85  cnf(68,plain,
% 180.85/180.85     (P2(f8(x681,a1),x682)),
% 180.85/180.85     inference(scs_inference,[],[43,17,39,27,29])).
% 180.85/180.85  cnf(69,plain,
% 180.85/180.85     (~P3(x691,f8(x692,a1))),
% 180.85/180.85     inference(rename_variables,[],[43])).
% 180.85/180.85  cnf(71,plain,
% 180.85/180.85     (~P3(x711,f8(x712,f8(x713,a1)))),
% 180.85/180.85     inference(scs_inference,[],[43,69,17,39,27,29,38])).
% 180.85/180.85  cnf(73,plain,
% 180.85/180.85     (E(a1,f8(x731,a1))),
% 180.85/180.85     inference(scs_inference,[],[43,69,19,17,39,27,29,38,2])).
% 180.85/180.85  cnf(75,plain,
% 180.85/180.85     (E(x751,f8(x751,x751))),
% 180.85/180.85     inference(rename_variables,[],[47])).
% 180.85/180.85  cnf(76,plain,
% 180.85/180.85     (E(f8(x761,a1),f8(a1,a1))),
% 180.85/180.85     inference(scs_inference,[],[47,75,43,69,19,16,17,39,27,29,38,2,11,3])).
% 180.85/180.85  cnf(77,plain,
% 180.85/180.85     (E(x771,f8(x771,x771))),
% 180.85/180.85     inference(rename_variables,[],[47])).
% 180.85/180.85  cnf(78,plain,
% 180.85/180.85     (P2(a5,f8(a7,a7))),
% 180.85/180.85     inference(scs_inference,[],[18,47,75,77,43,69,19,16,17,39,27,29,38,2,11,3,15])).
% 180.85/180.85  cnf(79,plain,
% 180.85/180.85     (E(x791,f8(x791,x791))),
% 180.85/180.85     inference(rename_variables,[],[47])).
% 180.85/180.85  cnf(80,plain,
% 180.85/180.85     (~E(a1,f8(a5,a9))),
% 180.85/180.85     inference(scs_inference,[],[18,24,53,47,75,77,43,69,19,16,17,39,27,29,38,2,11,3,15,14])).
% 180.85/180.85  cnf(84,plain,
% 180.85/180.85     (P3(f4(a5,a9,a1),a5)),
% 180.85/180.85     inference(scs_inference,[],[18,24,53,47,75,77,43,69,41,55,19,16,17,39,27,29,38,2,11,3,15,14,26,36])).
% 180.85/180.85  cnf(85,plain,
% 180.85/180.85     (~P3(x851,a1)),
% 180.85/180.85     inference(rename_variables,[],[41])).
% 180.85/180.85  cnf(87,plain,
% 180.85/180.85     (P3(f8(f4(a5,a9,a1),f4(a5,a9,a1)),a5)),
% 180.85/180.85     inference(scs_inference,[],[18,24,53,47,75,77,79,43,69,41,55,19,16,17,39,27,29,38,2,11,3,15,14,26,36,12])).
% 180.85/180.85  cnf(89,plain,
% 180.85/180.85     (P3(f4(a5,a9,a1),a9)),
% 180.85/180.85     inference(scs_inference,[],[18,24,53,47,75,77,79,43,69,41,85,55,19,16,17,39,27,29,38,2,11,3,15,14,26,36,12,35])).
% 180.85/180.85  cnf(92,plain,
% 180.85/180.85     (P3(f4(a5,a9,a1),f8(f8(a5,a5),f8(a5,a5)))),
% 180.85/180.85     inference(scs_inference,[],[18,24,53,47,75,77,79,43,69,41,85,55,19,21,16,17,39,27,29,38,2,11,3,15,14,26,36,12,35,34])).
% 180.85/180.85  cnf(95,plain,
% 180.85/180.85     (~P3(a5,f4(a5,a9,a1))),
% 180.85/180.85     inference(scs_inference,[],[18,24,53,47,75,77,79,43,69,41,85,55,19,21,16,17,39,27,29,38,2,11,3,15,14,26,36,12,35,34,28])).
% 180.85/180.85  cnf(97,plain,
% 180.85/180.85     (P3(f4(a5,a9,a1),a7)),
% 180.85/180.85     inference(scs_inference,[],[18,24,53,47,75,77,79,43,69,41,85,55,19,21,16,17,39,27,29,38,2,11,3,15,14,26,36,12,35,34,28,30])).
% 180.85/180.85  cnf(99,plain,
% 180.85/180.85     (~E(a5,f8(x991,a1))),
% 180.85/180.85     inference(scs_inference,[],[18,24,53,47,75,77,79,43,69,41,85,55,19,21,16,17,39,27,29,38,2,11,3,15,14,26,36,12,35,34,28,30,13])).
% 180.85/180.85  cnf(101,plain,
% 180.85/180.85     (P3(f4(a5,a9,a1),f8(a5,a5))),
% 180.85/180.85     inference(scs_inference,[],[18,24,53,47,75,77,79,43,69,41,85,55,19,21,22,16,17,39,27,29,38,2,11,3,15,14,26,36,12,35,34,28,30,13,31])).
% 180.85/180.85  cnf(105,plain,
% 180.85/180.85     (~P3(a7,f4(a5,a9,a1))),
% 180.85/180.85     inference(scs_inference,[],[97,28])).
% 180.85/180.85  cnf(107,plain,
% 180.85/180.85     (~P3(x1071,f8(f8(a1,x1072),x1073))),
% 180.85/180.85     inference(scs_inference,[],[97,45,28,39])).
% 180.85/180.85  cnf(109,plain,
% 180.85/180.85     (P2(f8(a1,x1091),x1092)),
% 180.85/180.85     inference(scs_inference,[],[97,45,28,39,29])).
% 180.85/180.85  cnf(110,plain,
% 180.85/180.85     (~P3(x1101,f8(a1,x1102))),
% 180.85/180.85     inference(rename_variables,[],[45])).
% 180.85/180.85  cnf(112,plain,
% 180.85/180.85     (~P3(x1121,f8(x1122,f8(a1,x1123)))),
% 180.85/180.85     inference(scs_inference,[],[97,45,110,28,39,29,38])).
% 180.85/180.85  cnf(114,plain,
% 180.85/180.85     (E(f8(a1,a1),f8(x1141,a1))),
% 180.85/180.85     inference(scs_inference,[],[97,45,110,76,28,39,29,38,2])).
% 180.85/180.85  cnf(115,plain,
% 180.85/180.85     (~E(a7,f8(f8(x1151,a1),x1152))),
% 180.85/180.85     inference(scs_inference,[],[97,64,45,110,76,28,39,29,38,2,13])).
% 180.85/180.85  cnf(119,plain,
% 180.85/180.85     (P3(f8(f4(a5,a9,a1),f4(a5,a9,a1)),a7)),
% 180.85/180.85     inference(scs_inference,[],[18,97,80,64,45,110,76,87,16,28,39,29,38,2,13,26,30])).
% 180.85/180.85  cnf(122,plain,
% 180.85/180.85     (E(a1,f8(x1221,a1))),
% 180.85/180.85     inference(rename_variables,[],[73])).
% 180.85/180.85  cnf(123,plain,
% 180.85/180.85     (P3(f4(x1231,a1,a5),a5)),
% 180.85/180.85     inference(scs_inference,[],[18,97,80,64,45,110,76,87,73,99,41,16,28,39,29,38,2,13,26,30,3,35])).
% 180.85/180.85  cnf(126,plain,
% 180.85/180.85     (P3(f8(f4(a5,a9,a1),f4(a5,a9,a1)),f8(a5,a5))),
% 180.85/180.85     inference(scs_inference,[],[18,97,80,101,64,45,110,76,87,73,99,47,41,16,28,39,29,38,2,13,26,30,3,35,12])).
% 180.85/180.85  cnf(127,plain,
% 180.85/180.85     (E(x1271,f8(x1271,x1271))),
% 180.85/180.85     inference(rename_variables,[],[47])).
% 180.85/180.85  cnf(128,plain,
% 180.85/180.85     (P1(f8(x1281,a1))),
% 180.85/180.85     inference(scs_inference,[],[18,97,80,101,64,45,110,76,87,73,122,99,47,41,16,28,39,29,38,2,13,26,30,3,35,12,11])).
% 180.85/180.85  cnf(129,plain,
% 180.85/180.85     (P2(f8(a5,a5),f8(a7,a7))),
% 180.85/180.85     inference(scs_inference,[],[18,48,97,80,101,64,45,110,76,87,73,122,99,47,127,41,16,28,39,29,38,2,13,26,30,3,35,12,11,15])).
% 180.85/180.85  cnf(131,plain,
% 180.85/180.85     (~E(f8(x1311,a1),f8(a5,a9))),
% 180.85/180.85     inference(scs_inference,[],[18,24,68,48,97,80,101,64,45,110,76,87,73,122,99,47,127,41,16,28,39,29,38,2,13,26,30,3,35,12,11,15,14])).
% 180.85/180.85  cnf(136,plain,
% 180.85/180.85     (~P1(a5)),
% 180.85/180.85     inference(scs_inference,[],[18,24,68,48,97,80,22,101,64,45,110,76,87,73,122,99,47,127,41,16,28,39,29,38,2,13,26,30,3,35,12,11,15,14,34,25])).
% 180.85/180.85  cnf(138,plain,
% 180.85/180.85     (~E(a1,a9)),
% 180.85/180.85     inference(scs_inference,[],[18,24,68,48,97,80,22,101,64,45,110,76,87,73,122,99,47,127,41,16,28,39,29,38,2,13,26,30,3,35,12,11,15,14,34,25,5])).
% 180.85/180.85  cnf(144,plain,
% 180.85/180.85     (P2(a2,x1441)),
% 180.85/180.85     inference(scs_inference,[],[119,66,28,29])).
% 180.85/180.85  cnf(145,plain,
% 180.85/180.85     (~P3(x1451,a2)),
% 180.85/180.85     inference(rename_variables,[],[66])).
% 180.85/180.85  cnf(147,plain,
% 180.85/180.85     (~P3(x1471,f8(a2,x1472))),
% 180.85/180.85     inference(scs_inference,[],[119,66,145,28,29,39])).
% 180.85/180.85  cnf(149,plain,
% 180.85/180.85     (~P3(x1491,f8(x1492,a2))),
% 180.85/180.85     inference(scs_inference,[],[119,66,145,28,29,39,38])).
% 180.85/180.85  cnf(151,plain,
% 180.85/180.85     (~P1(a7)),
% 180.85/180.85     inference(scs_inference,[],[119,66,145,115,128,28,29,39,38,26])).
% 180.85/180.85  cnf(153,plain,
% 180.85/180.85     (P1(f8(x1531,a1))),
% 180.85/180.85     inference(rename_variables,[],[128])).
% 180.85/180.85  cnf(155,plain,
% 180.85/180.85     (P3(f4(a5,a9,f8(x1551,a1)),a5)),
% 180.85/180.85     inference(scs_inference,[],[119,131,43,66,145,115,128,28,29,39,38,26,36])).
% 180.85/180.85  cnf(156,plain,
% 180.85/180.85     (~E(f8(x1561,a1),f8(a5,a9))),
% 180.85/180.85     inference(rename_variables,[],[131])).
% 180.85/180.85  cnf(157,plain,
% 180.85/180.85     (~P3(x1571,f8(x1572,a1))),
% 180.85/180.85     inference(rename_variables,[],[43])).
% 180.85/180.85  cnf(159,plain,
% 180.85/180.85     (P3(f8(f4(a5,a9,a1),f4(a5,a9,a1)),f8(a7,a7))),
% 180.85/180.85     inference(scs_inference,[],[129,119,131,43,126,66,145,115,128,28,29,39,38,26,36,30])).
% 180.85/180.85  cnf(161,plain,
% 180.85/180.85     (~E(a7,f8(x1611,f8(x1612,a1)))),
% 180.85/180.85     inference(scs_inference,[],[129,119,131,71,43,126,66,145,115,128,28,29,39,38,26,36,30,13])).
% 180.85/180.85  cnf(167,plain,
% 180.85/180.85     (P3(f8(f4(a5,a9,a1),f4(a5,a9,a1)),a9)),
% 180.85/180.85     inference(scs_inference,[],[129,119,131,156,71,43,157,126,89,66,145,115,47,128,28,29,39,38,26,36,30,13,35,12])).
% 180.85/180.85  cnf(169,plain,
% 180.85/180.85     (P1(f8(a1,x1691))),
% 180.85/180.85     inference(scs_inference,[],[129,119,131,156,71,43,157,22,126,89,66,145,115,47,128,153,28,29,39,38,26,36,30,13,35,12,11])).
% 180.85/180.85  cnf(173,plain,
% 180.85/180.85     (~E(f8(a1,x1731),f8(a5,a9))),
% 180.85/180.85     inference(scs_inference,[],[24,49,129,109,119,131,156,21,71,43,157,22,126,89,66,145,115,47,128,153,28,29,39,38,26,36,30,13,35,12,11,3,14])).
% 180.85/180.85  cnf(183,plain,
% 180.85/180.85     (P2(f8(a2,x1831),x1832)),
% 180.85/180.85     inference(scs_inference,[],[159,105,147,28,39,29])).
% 180.85/180.85  cnf(188,plain,
% 180.85/180.85     (~P3(f8(a7,a7),f4(a5,a9,a1))),
% 180.85/180.85     inference(scs_inference,[],[159,105,147,28,39,29,38,40])).
% 180.85/180.85  cnf(190,plain,
% 180.85/180.85     (~P1(a9)),
% 180.85/180.85     inference(scs_inference,[],[159,16,105,138,147,28,39,29,38,40,26])).
% 180.85/180.85  cnf(192,plain,
% 180.85/180.85     (P3(f4(x1921,a1,a5),a7)),
% 180.85/180.85     inference(scs_inference,[],[18,159,16,105,138,147,123,28,39,29,38,40,26,30])).
% 180.85/180.85  cnf(196,plain,
% 180.85/180.85     (~P3(x1961,f8(x1962,a1))),
% 180.85/180.85     inference(rename_variables,[],[43])).
% 180.85/180.86  cnf(202,plain,
% 180.85/180.86     (~E(f8(a7,a7),f8(x2021,f8(x2022,a1)))),
% 180.85/180.86     inference(scs_inference,[],[18,159,71,43,196,16,105,138,147,161,123,115,28,39,29,38,40,26,30,36,35,13])).
% 180.85/180.86  cnf(204,plain,
% 180.85/180.86     (P3(f8(f4(x2041,a1,a5),f4(x2041,a1,a5)),a5)),
% 180.85/180.86     inference(scs_inference,[],[18,159,71,43,196,16,105,138,147,161,123,115,47,28,39,29,38,40,26,30,36,35,13,12])).
% 180.85/180.86  cnf(211,plain,
% 180.85/180.86     (~E(a7,f8(x2111,a1))),
% 180.85/180.86     inference(scs_inference,[],[202,5])).
% 180.85/180.86  cnf(212,plain,
% 180.85/180.86     (~E(f8(a7,a7),f8(x2121,f8(x2122,a1)))),
% 180.85/180.86     inference(rename_variables,[],[202])).
% 180.85/180.86  cnf(213,plain,
% 180.85/180.86     (~P3(a7,f4(x2131,a1,a5))),
% 180.85/180.86     inference(scs_inference,[],[192,202,5,28])).
% 180.85/180.86  cnf(215,plain,
% 180.85/180.86     (P2(f8(x2151,a2),x2152)),
% 180.85/180.86     inference(scs_inference,[],[192,202,149,5,28,29])).
% 180.85/180.86  cnf(222,plain,
% 180.95/180.86     (P3(f8(f4(x2221,a1,a5),f4(x2221,a1,a5)),a7)),
% 180.95/180.86     inference(scs_inference,[],[18,192,188,202,149,204,5,28,29,39,38,30])).
% 180.95/180.86  cnf(224,plain,
% 180.95/180.86     (~P1(f8(a7,a7))),
% 180.95/180.86     inference(scs_inference,[],[18,192,188,202,212,149,204,169,5,28,29,39,38,30,26])).
% 180.95/180.86  cnf(225,plain,
% 180.95/180.86     (~E(f8(a7,a7),f8(x2251,f8(x2252,a1)))),
% 180.95/180.86     inference(rename_variables,[],[202])).
% 180.95/180.86  cnf(232,plain,
% 180.95/180.86     (~E(a5,f8(x2321,f8(x2322,a1)))),
% 180.95/180.86     inference(scs_inference,[],[18,192,71,43,84,188,202,212,225,149,204,169,5,28,29,39,38,30,26,35,13])).
% 180.95/180.86  cnf(234,plain,
% 180.95/180.86     (~E(f8(a2,x2341),f8(a5,a9))),
% 180.95/180.86     inference(scs_inference,[],[18,24,183,192,71,43,84,188,202,212,225,149,204,169,5,28,29,39,38,30,26,35,13,14])).
% 180.95/180.86  cnf(236,plain,
% 180.95/180.86     (P3(f4(x2361,a1,a5),f8(f8(a7,a7),f8(a7,a7)))),
% 180.95/180.86     inference(scs_inference,[],[18,24,183,192,21,71,43,84,188,202,212,225,149,204,169,5,28,29,39,38,30,26,35,13,14,34])).
% 180.95/180.86  cnf(245,plain,
% 180.95/180.86     (~P3(x2451,f8(f8(a2,x2452),x2453))),
% 180.95/180.86     inference(scs_inference,[],[222,147,28,39])).
% 180.95/180.86  cnf(247,plain,
% 180.95/180.86     (~P3(x2471,f8(x2472,f8(a2,x2473)))),
% 180.95/180.86     inference(scs_inference,[],[222,147,28,39,38])).
% 180.95/180.86  cnf(249,plain,
% 180.95/180.86     (P3(f4(a5,a9,f8(x2491,a1)),a7)),
% 180.95/180.86     inference(scs_inference,[],[18,222,147,155,28,39,38,30])).
% 180.95/180.86  cnf(251,plain,
% 180.95/180.86     (P3(f4(x2511,a1,a7),a7)),
% 180.95/180.86     inference(scs_inference,[],[18,222,147,211,155,41,28,39,38,30,35])).
% 180.95/180.86  cnf(254,plain,
% 180.95/180.86     (~E(a7,f8(f8(a1,x2541),x2542))),
% 180.95/180.86     inference(scs_inference,[],[18,119,222,107,147,211,155,41,28,39,38,30,35,13])).
% 180.95/180.86  cnf(256,plain,
% 180.95/180.86     (~E(a2,f8(a5,a9))),
% 180.95/180.86     inference(scs_inference,[],[18,24,144,119,222,107,147,211,155,41,28,39,38,30,35,13,14])).
% 180.95/180.86  cnf(258,plain,
% 180.95/180.86     (P2(f8(f8(a2,x2581),x2582),x2583)),
% 180.95/180.86     inference(scs_inference,[],[18,24,144,119,222,107,147,211,155,41,28,39,38,30,35,13,14,29])).
% 180.95/180.86  cnf(262,plain,
% 180.95/180.86     (P3(f8(f4(x2621,a1,a7),f4(x2621,a1,a7)),a7)),
% 180.95/180.86     inference(scs_inference,[],[18,24,144,119,222,47,107,51,147,211,155,41,28,39,38,30,35,13,14,29,36,12])).
% 180.95/180.86  cnf(268,plain,
% 180.95/180.86     (~P3(x2681,f8(f8(x2682,a2),x2683))),
% 180.95/180.86     inference(scs_inference,[],[249,149,28,39])).
% 180.95/180.86  cnf(272,plain,
% 180.95/180.86     (P3(f4(a5,a9,a2),a5)),
% 180.95/180.86     inference(scs_inference,[],[249,256,149,66,28,39,38,36])).
% 180.95/180.86  cnf(273,plain,
% 180.95/180.86     (~P3(x2731,a2)),
% 180.95/180.86     inference(rename_variables,[],[66])).
% 180.95/180.86  cnf(275,plain,
% 180.95/180.86     (P3(f8(f4(a5,a9,a2),f4(a5,a9,a2)),a5)),
% 180.95/180.86     inference(scs_inference,[],[249,256,47,149,66,28,39,38,36,12])).
% 180.95/180.86  cnf(277,plain,
% 180.95/180.86     (P3(f4(a5,a9,a2),a9)),
% 180.95/180.86     inference(scs_inference,[],[249,256,47,149,66,273,28,39,38,36,12,35])).
% 180.95/180.86  cnf(280,plain,
% 180.95/180.86     (~E(f8(a7,a7),f8(x2801,f8(a1,x2802)))),
% 180.95/180.86     inference(scs_inference,[],[159,249,256,47,112,149,66,273,28,39,38,36,12,35,13])).
% 180.95/180.86  cnf(282,plain,
% 180.95/180.86     (~E(f8(x2821,a2),f8(a5,a9))),
% 180.95/180.86     inference(scs_inference,[],[24,159,215,249,256,47,112,149,66,273,28,39,38,36,12,35,13,14])).
% 180.95/180.86  cnf(284,plain,
% 180.95/180.86     (~E(a2,a9)),
% 180.95/180.86     inference(scs_inference,[],[24,159,215,249,256,47,112,149,66,273,28,39,38,36,12,35,13,14,5])).
% 180.95/180.86  cnf(285,plain,
% 180.95/180.86     (P2(f8(f8(x2851,a2),x2852),x2853)),
% 180.95/180.86     inference(scs_inference,[],[24,159,215,249,256,47,112,149,66,273,28,39,38,36,12,35,13,14,5,29])).
% 180.95/180.86  cnf(287,plain,
% 180.95/180.86     (P3(f4(a5,a9,a2),a7)),
% 180.95/180.86     inference(scs_inference,[],[18,24,159,215,249,256,47,112,149,66,273,28,39,38,36,12,35,13,14,5,29,30])).
% 180.95/180.86  cnf(292,plain,
% 180.95/180.86     (~P3(a7,f4(a5,a9,a2))),
% 180.95/180.86     inference(scs_inference,[],[287,280,5,28])).
% 180.95/180.86  cnf(298,plain,
% 180.95/180.86     (P3(f8(f4(a5,a9,a2),f4(a5,a9,a2)),a7)),
% 180.95/180.86     inference(scs_inference,[],[18,287,280,95,275,5,28,39,38,30])).
% 180.95/180.86  cnf(300,plain,
% 180.95/180.86     (P3(f4(a1,x3001,a7),a7)),
% 180.95/180.86     inference(scs_inference,[],[18,287,280,95,275,41,5,28,39,38,30,36])).
% 180.95/180.86  cnf(303,plain,
% 180.95/180.86     (P3(f8(f4(a5,a9,a2),f4(a5,a9,a2)),a9)),
% 180.95/180.86     inference(scs_inference,[],[18,287,47,280,95,277,275,41,5,28,39,38,30,36,12])).
% 180.95/180.86  cnf(305,plain,
% 180.95/180.86     (~E(f8(a7,a7),f8(f8(x3051,a1),x3052))),
% 180.95/180.86     inference(scs_inference,[],[18,159,287,47,64,280,95,277,275,41,5,28,39,38,30,36,12,13])).
% 180.95/180.86  cnf(309,plain,
% 180.95/180.86     (~E(f8(a2,x3091),a5)),
% 180.95/180.86     inference(scs_inference,[],[18,24,159,258,287,47,64,280,95,277,275,41,5,28,39,38,30,36,12,13,14,4])).
% 180.95/180.86  cnf(320,plain,
% 180.95/180.86     (~E(a5,f8(x3201,f8(x3202,a1)))),
% 180.95/180.86     inference(rename_variables,[],[232])).
% 180.95/180.86  cnf(321,plain,
% 180.95/180.86     (~P3(x3211,f8(x3212,a1))),
% 180.95/180.86     inference(rename_variables,[],[43])).
% 180.95/180.86  cnf(323,plain,
% 180.95/180.86     (P3(f4(x3231,f8(x3232,a1),a5),a5)),
% 180.95/180.86     inference(scs_inference,[],[298,43,321,232,320,292,28,39,38,36,35])).
% 180.95/180.86  cnf(325,plain,
% 180.95/180.86     (~P3(x3251,f8(x3252,a1))),
% 180.95/180.86     inference(rename_variables,[],[43])).
% 180.95/180.86  cnf(327,plain,
% 180.95/180.86     (P3(f8(f4(a1,x3271,a7),f4(a1,x3271,a7)),a7)),
% 180.95/180.86     inference(scs_inference,[],[298,43,321,47,232,320,292,300,28,39,38,36,35,12])).
% 180.95/180.86  cnf(329,plain,
% 180.95/180.86     (~E(f8(a7,a7),f8(x3291,a1))),
% 180.95/180.86     inference(scs_inference,[],[159,298,43,321,325,47,232,320,292,300,28,39,38,36,35,12,13])).
% 180.95/180.86  cnf(335,plain,
% 180.95/180.86     (P3(f4(f8(x3351,a1),f8(x3352,a1),a5),a7)),
% 180.95/180.86     inference(scs_inference,[],[18,24,159,285,298,43,321,325,47,232,320,292,300,28,39,38,36,35,12,13,14,5,4,30])).
% 180.95/180.86  cnf(344,plain,
% 180.95/180.86     (P3(f4(x3441,f8(x3442,a1),a5),a7)),
% 180.95/180.86     inference(scs_inference,[],[18,335,323,213,28,39,38,30])).
% 180.95/180.86  cnf(349,plain,
% 180.95/180.86     (P3(f4(f8(x3491,a1),x3492,f8(a7,a7)),f8(a7,a7))),
% 180.95/180.86     inference(scs_inference,[],[18,335,43,305,329,323,213,41,28,39,38,30,35,36])).
% 180.95/180.86  cnf(351,plain,
% 180.95/180.86     (~P3(x3511,f8(x3512,a1))),
% 180.95/180.86     inference(rename_variables,[],[43])).
% 180.95/180.86  cnf(353,plain,
% 180.95/180.86     (~E(a9,f8(x3531,a1))),
% 180.95/180.86     inference(scs_inference,[],[18,335,43,351,167,305,329,323,213,41,28,39,38,30,35,36,13])).
% 180.95/180.86  cnf(360,plain,
% 180.95/180.86     (~E(a9,f8(x3601,a1))),
% 180.95/180.86     inference(rename_variables,[],[353])).
% 180.95/180.86  cnf(361,plain,
% 180.95/180.86     (~P3(x3611,f8(x3612,a1))),
% 180.95/180.86     inference(rename_variables,[],[43])).
% 180.95/180.86  cnf(363,plain,
% 180.95/180.86     (P3(f4(x3631,a1,a9),a9)),
% 180.95/180.86     inference(scs_inference,[],[344,43,353,360,41,28,36,35])).
% 180.95/180.86  cnf(366,plain,
% 180.95/180.86     (P3(f8(f4(x3661,a1,a9),f4(x3661,a1,a9)),a9)),
% 180.95/180.86     inference(scs_inference,[],[344,43,47,353,360,41,28,36,35,12])).
% 180.95/180.86  cnf(368,plain,
% 180.95/180.86     (~E(f8(a5,a5),f8(x3681,a1))),
% 180.95/180.86     inference(scs_inference,[],[344,43,361,47,126,353,360,41,28,36,35,12,13])).
% 180.95/180.86  cnf(370,plain,
% 180.95/180.86     (~P1(f8(a5,a5))),
% 180.95/180.86     inference(scs_inference,[],[344,43,361,47,126,353,360,41,128,28,36,35,12,13,26])).
% 180.95/180.86  cnf(377,plain,
% 180.95/180.86     (P3(f4(x3771,a1,f8(a5,a5)),f8(a5,a5))),
% 180.95/180.86     inference(scs_inference,[],[167,368,41,28,40,35])).
% 180.95/180.86  cnf(382,plain,
% 180.95/180.86     (~E(f8(a5,a5),a1)),
% 180.95/180.86     inference(scs_inference,[],[43,167,92,368,41,28,40,35,13,5])).
% 180.95/180.86  cnf(390,plain,
% 180.95/180.86     (P3(f4(x3901,a1,f8(a5,a5)),f8(a7,a7))),
% 180.95/180.86     inference(scs_inference,[],[129,43,167,92,368,41,128,28,40,35,13,5,39,38,26,30])).
% 180.95/180.86  cnf(399,plain,
% 180.95/180.86     (P3(f4(x3991,a1,f8(a5,a5)),a7)),
% 180.95/180.86     inference(scs_inference,[],[48,390,377,28,30])).
% 180.95/180.86  cnf(401,plain,
% 180.95/180.86     (P3(f4(a5,a9,f8(x4011,a2)),a5)),
% 180.95/180.86     inference(scs_inference,[],[48,282,390,149,377,28,30,36])).
% 180.95/180.86  cnf(418,plain,
% 180.95/180.86     (P3(f4(a5,a9,f8(x4181,a2)),a7)),
% 180.95/180.86     inference(scs_inference,[],[18,399,401,28,30])).
% 180.95/180.86  cnf(433,plain,
% 180.95/180.86     (~E(f8(a7,a7),f8(x4331,f8(a1,x4332)))),
% 180.95/180.86     inference(rename_variables,[],[280])).
% 180.95/180.86  cnf(434,plain,
% 180.95/180.86     (~P3(x4341,f8(x4342,a2))),
% 180.95/180.86     inference(rename_variables,[],[149])).
% 180.95/180.86  cnf(438,plain,
% 180.95/180.86     (~P3(x4381,f8(x4382,a2))),
% 180.95/180.86     inference(rename_variables,[],[149])).
% 180.95/180.86  cnf(440,plain,
% 180.95/180.86     (~E(a7,f8(x4401,a2))),
% 180.95/180.86     inference(scs_inference,[],[192,418,149,434,438,280,433,28,36,35,13])).
% 180.95/180.86  cnf(449,plain,
% 180.95/180.86     (~P3(f3(f8(a9,a5),f8(a7,a9)),f8(a7,a9))),
% 180.95/180.86     inference(scs_inference,[],[24,22,33,14])).
% 180.95/180.86  cnf(450,plain,
% 180.95/180.86     (~P3(f8(a5,a5),f4(a5,a9,a1))),
% 180.95/180.86     inference(scs_inference,[],[101,28])).
% 180.95/180.86  cnf(453,plain,
% 180.95/180.86     (~E(a7,f8(f8(a1,x4531),x4532))),
% 180.95/180.86     inference(rename_variables,[],[254])).
% 180.95/180.86  cnf(454,plain,
% 180.95/180.86     (~P3(x4541,f8(x4542,a2))),
% 180.95/180.86     inference(rename_variables,[],[149])).
% 180.95/180.86  cnf(458,plain,
% 180.95/180.86     (~P3(x4581,f8(x4582,a2))),
% 180.95/180.86     inference(rename_variables,[],[149])).
% 180.95/180.86  cnf(460,plain,
% 180.95/180.86     (~E(f8(a7,a7),f8(x4601,a2))),
% 180.95/180.86     inference(scs_inference,[],[159,149,454,458,101,254,453,28,36,35,13])).
% 180.95/180.86  cnf(469,plain,
% 180.95/180.86     (~E(a7,a2)),
% 180.95/180.86     inference(scs_inference,[],[97,159,21,149,454,458,101,254,453,28,36,35,13,34,39,38,5])).
% 180.95/180.86  cnf(470,plain,
% 180.95/180.86     (~P3(f3(f8(a9,a5),f8(a7,a9)),a9)+~P3(f3(f8(a9,a5),f8(a7,a9)),a7)),
% 180.95/180.86     inference(scs_inference,[],[97,159,449,21,149,454,458,101,254,453,28,36,35,13,34,39,38,5,40])).
% 180.95/180.86  cnf(480,plain,
% 180.95/180.86     (~E(f8(a1,x4801),f8(a5,a9))),
% 180.95/180.86     inference(rename_variables,[],[173])).
% 180.95/180.86  cnf(481,plain,
% 180.95/180.86     (~P3(x4811,f8(a1,x4812))),
% 180.95/180.86     inference(rename_variables,[],[45])).
% 180.95/180.86  cnf(485,plain,
% 180.95/180.86     (~P3(x4851,f8(a1,x4852))),
% 180.95/180.86     inference(rename_variables,[],[45])).
% 180.95/180.86  cnf(487,plain,
% 180.95/180.86     (~E(f8(a7,a7),f8(a1,x4871))),
% 180.95/180.86     inference(scs_inference,[],[173,480,159,204,45,481,485,28,40,35,36,13])).
% 180.95/180.86  cnf(493,plain,
% 180.95/180.86     (P3(f4(a5,a9,f8(a1,x4931)),a7)),
% 180.95/180.86     inference(scs_inference,[],[18,173,480,159,204,45,481,485,28,40,35,36,13,38,39,30])).
% 180.95/180.86  cnf(499,plain,
% 180.95/180.86     (~E(f8(a2,x4991),f8(a5,a9))),
% 180.95/180.86     inference(rename_variables,[],[234])).
% 180.95/180.86  cnf(500,plain,
% 180.95/180.86     (~P3(x5001,f8(a2,x5002))),
% 180.95/180.86     inference(rename_variables,[],[147])).
% 180.95/180.86  cnf(506,plain,
% 180.95/180.86     (~E(a5,f8(a1,x5061))),
% 180.95/180.86     inference(scs_inference,[],[234,499,493,84,45,147,500,28,35,36,13])).
% 180.95/180.86  cnf(508,plain,
% 180.95/180.86     (P3(f4(a5,a9,f8(a2,x5081)),a7)),
% 180.95/180.86     inference(scs_inference,[],[18,234,499,493,84,45,147,500,28,35,36,13,30])).
% 180.95/180.86  cnf(515,plain,
% 180.95/180.86     (~P3(x5151,f8(a1,x5152))),
% 180.95/180.86     inference(rename_variables,[],[45])).
% 180.95/180.86  cnf(519,plain,
% 180.95/180.86     (~P3(x5191,f8(a1,x5192))),
% 180.95/180.86     inference(rename_variables,[],[45])).
% 180.95/180.86  cnf(521,plain,
% 180.95/180.86     (~E(f8(a5,a5),f8(a1,x5211))),
% 180.95/180.86     inference(scs_inference,[],[508,45,515,519,126,280,254,28,35,36,13])).
% 180.95/180.86  cnf(533,plain,
% 180.95/180.86     (~E(a7,f8(a2,x5331))),
% 180.95/180.86     inference(scs_inference,[],[119,147,66,272,41,460,487,28,35,36,13])).
% 180.95/180.86  cnf(547,plain,
% 180.95/180.86     (P3(f4(x5471,a2,a7),a7)),
% 180.95/180.86     inference(scs_inference,[],[66,41,303,440,521,28,40,36,35])).
% 180.95/180.86  cnf(550,plain,
% 180.95/180.86     (~E(a9,f8(a1,x5501))),
% 180.95/180.86     inference(scs_inference,[],[45,167,66,41,303,440,521,28,40,36,35,13])).
% 180.95/180.86  cnf(564,plain,
% 180.95/180.86     (P3(f4(a1,x5641,a5),a5)),
% 180.95/180.86     inference(scs_inference,[],[41,262,506,28,40,36])).
% 180.95/180.86  cnf(605,plain,
% 180.95/180.86     (P3(f4(a2,x6051,a7),a7)),
% 180.95/180.86     inference(scs_inference,[],[66,327,533,28,40,36])).
% 180.95/180.86  cnf(610,plain,
% 180.95/180.86     (~P3(x6101,f8(a2,x6102))),
% 180.95/180.86     inference(rename_variables,[],[147])).
% 180.95/180.86  cnf(612,plain,
% 180.95/180.86     (~E(a5,f8(a2,x6121))),
% 180.95/180.86     inference(scs_inference,[],[87,147,610,66,327,533,550,28,40,36,35,13])).
% 180.95/180.86  cnf(626,plain,
% 180.95/180.86     (P3(f4(a2,x6261,a5),a5)),
% 180.95/180.86     inference(scs_inference,[],[66,366,612,28,40,36])).
% 180.95/180.86  cnf(629,plain,
% 180.95/180.86     (P3(f8(f4(a2,x6291,a5),f4(a2,x6291,a5)),a5)),
% 180.95/180.86     inference(scs_inference,[],[47,66,366,612,28,40,36,12])).
% 180.95/180.86  cnf(633,plain,
% 180.95/180.86     (~P3(x6331,f8(x6332,a2))),
% 180.95/180.86     inference(rename_variables,[],[149])).
% 180.95/180.86  cnf(635,plain,
% 180.95/180.86     (~E(a5,f8(x6351,a2))),
% 180.95/180.86     inference(scs_inference,[],[47,84,149,633,66,366,612,550,28,40,36,12,35,13])).
% 180.95/180.86  cnf(641,plain,
% 180.95/180.86     (P3(f4(a2,x6411,a5),a7)),
% 180.95/180.86     inference(scs_inference,[],[18,47,84,149,633,66,366,612,550,28,40,36,12,35,13,38,39,30])).
% 180.95/180.86  cnf(649,plain,
% 180.95/180.86     (~E(a5,f8(x6491,a2))),
% 180.95/180.86     inference(rename_variables,[],[635])).
% 180.95/180.86  cnf(650,plain,
% 180.95/180.86     (~P3(x6501,f8(a1,x6502))),
% 180.95/180.86     inference(rename_variables,[],[45])).
% 180.95/180.86  cnf(652,plain,
% 180.95/180.86     (P3(f4(x6521,a2,a5),a5)),
% 180.95/180.86     inference(scs_inference,[],[18,641,45,66,629,635,649,28,30,36,35])).
% 180.95/180.86  cnf(661,plain,
% 180.95/180.86     (P3(f8(f4(x6611,a2,a5),f4(x6611,a2,a5)),a5)),
% 180.95/180.86     inference(scs_inference,[],[18,641,47,45,650,66,236,629,635,649,28,30,36,35,13,38,39,12])).
% 180.95/180.86  cnf(667,plain,
% 180.95/180.86     (P3(f8(f4(x6671,a2,a5),f4(x6671,a2,a5)),a7)),
% 180.95/180.86     inference(scs_inference,[],[18,323,661,28,30])).
% 180.95/180.86  cnf(669,plain,
% 180.95/180.86     (P3(f4(a1,x6691,a9),a9)),
% 180.95/180.86     inference(scs_inference,[],[18,41,323,661,550,28,30,36])).
% 180.95/180.86  cnf(674,plain,
% 180.95/180.86     (~E(a9,f8(a2,x6741))),
% 180.95/180.86     inference(scs_inference,[],[18,47,147,89,41,323,661,550,28,30,36,12,13])).
% 180.95/180.86  cnf(683,plain,
% 180.95/180.86     (P3(f4(x6831,a2,a5),a7)),
% 180.95/180.86     inference(scs_inference,[],[18,667,652,28,40,30])).
% 180.95/180.86  cnf(685,plain,
% 180.95/180.86     (P3(f4(a2,x6851,a9),a9)),
% 180.95/180.86     inference(scs_inference,[],[18,667,66,674,652,28,40,30,36])).
% 180.95/180.86  cnf(690,plain,
% 180.95/180.86     (~E(f8(a5,a5),f8(x6901,a2))),
% 180.95/180.86     inference(scs_inference,[],[18,667,47,149,66,101,674,652,28,40,30,36,12,13])).
% 180.95/180.86  cnf(704,plain,
% 180.95/180.86     (~E(f8(a5,a5),f8(x7041,a2))),
% 180.95/180.86     inference(rename_variables,[],[690])).
% 180.95/180.86  cnf(705,plain,
% 180.95/180.86     (~P3(x7051,f8(x7052,a2))),
% 180.95/180.86     inference(rename_variables,[],[149])).
% 180.95/180.86  cnf(710,plain,
% 180.95/180.86     (~E(a9,f8(x7101,a2))),
% 180.95/180.86     inference(scs_inference,[],[149,705,66,167,155,690,704,28,36,35,13])).
% 180.95/180.86  cnf(717,plain,
% 180.95/180.86     (~E(a9,f8(x7171,a2))),
% 180.95/180.86     inference(rename_variables,[],[710])).
% 180.95/180.86  cnf(718,plain,
% 180.95/180.86     (~P3(x7181,f8(x7182,a2))),
% 180.95/180.86     inference(rename_variables,[],[149])).
% 180.95/180.86  cnf(720,plain,
% 180.95/180.86     (P3(f4(x7201,a2,a9),a9)),
% 180.95/180.86     inference(scs_inference,[],[149,66,401,710,717,28,36,35])).
% 180.95/180.86  cnf(725,plain,
% 180.95/180.86     (~E(f8(a5,a5),a2)),
% 180.95/180.86     inference(scs_inference,[],[149,718,66,401,92,710,717,28,36,35,13,5])).
% 180.95/180.86  cnf(726,plain,
% 180.95/180.86     (P3(f8(f4(x7261,a2,a9),f4(x7261,a2,a9)),a9)),
% 180.95/180.86     inference(scs_inference,[],[47,149,718,66,401,92,710,717,28,36,35,13,5,12])).
% 180.95/180.86  cnf(730,plain,
% 180.95/180.86     (E(f3(f8(x7301,a1),x7302),f3(a1,x7302))),
% 180.95/180.86     inference(scs_inference,[],[73,9,2])).
% 180.95/180.86  cnf(736,plain,
% 180.95/180.86     (~E(f8(a7,a7),a2)),
% 180.95/180.86     inference(scs_inference,[],[149,349,236,730,2,28,13,5])).
% 180.95/180.86  cnf(740,plain,
% 180.95/180.86     (~P3(a5,f4(a1,x7401,a5))),
% 180.95/180.86     inference(scs_inference,[],[564,28])).
% 180.95/180.86  cnf(762,plain,
% 180.95/180.86     (~P3(a5,f4(x7621,a2,a5))),
% 180.95/180.86     inference(scs_inference,[],[661,28,40])).
% 180.95/180.86  cnf(822,plain,
% 180.95/180.86     (~P3(a9,f4(x8221,a2,a9))),
% 180.95/180.86     inference(scs_inference,[],[726,28,40])).
% 180.95/180.86  cnf(854,plain,
% 180.95/180.86     (~P3(f8(f8(a7,a7),f8(a7,a7)),f4(x8541,a1,a5))),
% 180.95/180.86     inference(scs_inference,[],[236,28])).
% 180.95/180.86  cnf(1176,plain,
% 180.95/180.86     (P1(f8(a2,a2))),
% 180.95/180.86     inference(scs_inference,[],[17,47,11])).
% 180.95/180.86  cnf(1301,plain,
% 180.95/180.86     (~P3(f3(f8(a9,a5),f8(a7,a9)),a7)+~P3(f3(f8(a9,a5),f8(a7,a9)),f8(a9,x13011))),
% 180.95/180.86     inference(scs_inference,[],[22,470,31])).
% 180.95/180.86  cnf(1586,plain,
% 180.95/180.86     (~P3(f3(f8(a9,a5),f8(a7,a9)),f8(a7,x15861))+~P3(f3(f8(a9,a5),f8(a7,a9)),f8(a9,x15862))),
% 180.95/180.86     inference(scs_inference,[],[1301,39])).
% 180.95/180.86  cnf(1801,plain,
% 180.95/180.86     (E(f8(a2,a2),a1)),
% 180.95/180.86     inference(scs_inference,[],[1176,736,2,25])).
% 180.95/180.86  cnf(1805,plain,
% 180.95/180.86     (~P3(f8(a5,a5),f4(a1,x18051,a5))),
% 180.95/180.86     inference(scs_inference,[],[1176,740,736,78,564,21,2,25,30,12])).
% 180.95/180.86  cnf(1807,plain,
% 180.95/180.86     (~E(f8(a2,a2),a6)),
% 180.95/180.86     inference(scs_inference,[],[23,1176,740,736,78,564,21,2,25,30,12,11])).
% 180.95/180.86  cnf(1808,plain,
% 180.95/180.86     (P3(f4(x18081,a2,a7),f8(a7,a7))),
% 180.95/180.86     inference(scs_inference,[],[23,1176,740,736,547,78,564,21,2,25,30,12,11,40])).
% 180.95/180.86  cnf(1815,plain,
% 180.95/180.86     (E(f8(a2,x18151),f8(x18152,a2))),
% 180.95/180.86     inference(scs_inference,[],[23,1176,740,736,547,309,78,564,76,21,147,66,2,25,30,12,11,40,3,28,35])).
% 180.95/180.86  cnf(1816,plain,
% 180.95/180.86     (~P3(x18161,a2)),
% 180.95/180.86     inference(rename_variables,[],[66])).
% 180.95/180.86  cnf(1817,plain,
% 180.95/180.86     (~P3(x18171,f8(a2,x18172))),
% 180.95/180.86     inference(rename_variables,[],[147])).
% 180.95/180.86  cnf(1819,plain,
% 180.95/180.86     (~P2(f8(a5,a9),f8(a9,a7))),
% 180.95/180.86     inference(scs_inference,[],[23,1176,740,736,547,309,78,564,76,21,147,24,66,22,2,25,30,12,11,40,3,28,35,15])).
% 180.95/180.86  cnf(1820,plain,
% 180.95/180.86     (E(f8(x18201,x18202),f8(x18202,x18201))),
% 180.95/180.86     inference(rename_variables,[],[22])).
% 180.95/180.86  cnf(1821,plain,
% 180.95/180.86     (~P2(f8(a9,a5),f8(a7,a9))),
% 180.95/180.86     inference(scs_inference,[],[23,1176,740,736,547,309,78,564,76,21,147,24,66,22,1820,2,25,30,12,11,40,3,28,35,15,14])).
% 180.95/180.86  cnf(1823,plain,
% 180.95/180.86     (E(f8(a2,x18231),f8(a2,x18232))),
% 180.95/180.86     inference(scs_inference,[],[23,1176,740,736,547,309,78,564,76,21,147,1817,24,66,1816,22,1820,2,25,30,12,11,40,3,28,35,15,14,36])).
% 180.95/180.86  cnf(1825,plain,
% 180.95/180.86     (~P3(x18251,f8(a2,x18252))),
% 180.95/180.86     inference(rename_variables,[],[147])).
% 180.95/180.86  cnf(1827,plain,
% 180.95/180.86     (~E(f8(a2,x18271),f8(a7,a7))),
% 180.95/180.86     inference(scs_inference,[],[23,1176,740,736,547,309,78,564,76,21,147,1817,1825,24,66,1816,22,1820,2,25,30,12,11,40,3,28,35,15,14,36,34])).
% 180.95/180.86  cnf(1830,plain,
% 180.95/180.86     (E(f8(a1,x18301),a1)),
% 180.95/180.86     inference(scs_inference,[],[169,25])).
% 180.95/180.86  cnf(1832,plain,
% 180.95/180.86     (~E(a6,f8(a2,a2))),
% 180.95/180.86     inference(scs_inference,[],[1807,169,25,2])).
% 180.95/180.86  cnf(1835,plain,
% 180.95/180.86     (P3(f4(a2,x18351,a7),f8(a7,a7))),
% 180.95/180.86     inference(scs_inference,[],[1808,1807,605,169,25,2,28,40])).
% 180.95/180.86  cnf(1837,plain,
% 180.95/180.86     (~E(f8(a1,x18371),a5)),
% 180.95/180.86     inference(scs_inference,[],[136,1808,1807,605,169,25,2,28,40,11])).
% 180.95/180.86  cnf(1838,plain,
% 180.95/180.86     (~E(f8(x18381,a2),f8(a7,a7))),
% 180.95/180.86     inference(scs_inference,[],[136,1827,1808,1815,1807,605,169,25,2,28,40,11,3])).
% 180.95/180.86  cnf(1843,plain,
% 180.95/180.86     (E(a2,a1)),
% 180.95/180.86     inference(scs_inference,[],[17,25])).
% 180.95/180.86  cnf(1849,plain,
% 180.95/180.86     (P3(f4(a1,x18491,a9),f8(a9,a9))),
% 180.95/180.86     inference(scs_inference,[],[1835,725,669,17,25,4,2,28,40])).
% 180.95/180.86  cnf(1851,plain,
% 180.95/180.86     (~E(f8(a2,a2),a7)),
% 180.95/180.86     inference(scs_inference,[],[151,1835,725,669,1176,17,25,4,2,28,40,11])).
% 180.95/180.86  cnf(1854,plain,
% 180.95/180.86     (E(f3(a2,x18541),f3(a1,x18541))),
% 180.95/180.86     inference(scs_inference,[],[151,1838,1835,1801,725,669,1176,17,25,4,2,28,40,11,3,9])).
% 180.95/180.86  cnf(1855,plain,
% 180.95/180.86     (E(f3(x18551,a2),f3(x18551,a1))),
% 180.95/180.86     inference(scs_inference,[],[151,1838,1835,1801,725,669,1176,17,25,4,2,28,40,11,3,9,10])).
% 180.95/180.86  cnf(1856,plain,
% 180.95/180.86     (E(f4(a2,x18561,x18562),f4(a1,x18561,x18562))),
% 180.95/180.86     inference(scs_inference,[],[151,1838,1835,1801,725,669,1176,17,25,4,2,28,40,11,3,9,10,6])).
% 180.95/180.86  cnf(1857,plain,
% 180.95/180.86     (E(f4(x18571,a2,x18572),f4(x18571,a1,x18572))),
% 180.95/180.86     inference(scs_inference,[],[151,1838,1835,1801,725,669,1176,17,25,4,2,28,40,11,3,9,10,6,7])).
% 180.95/180.86  cnf(1858,plain,
% 180.95/180.86     (E(f4(x18581,x18582,a2),f4(x18581,x18582,a1))),
% 180.95/180.86     inference(scs_inference,[],[151,1838,1835,1801,725,669,1176,17,25,4,2,28,40,11,3,9,10,6,7,8])).
% 180.95/180.86  cnf(1859,plain,
% 180.95/180.86     (E(f8(x18591,a2),f8(x18591,a1))),
% 180.95/180.86     inference(scs_inference,[],[151,1838,1835,1801,725,669,1176,17,25,4,2,28,40,11,3,9,10,6,7,8,5])).
% 180.95/180.86  cnf(1860,plain,
% 180.95/180.86     (~P1(f8(a9,a9))),
% 180.95/180.86     inference(scs_inference,[],[151,1838,1835,1801,725,669,1176,17,25,4,2,28,40,11,3,9,10,6,7,8,5,27])).
% 180.95/180.86  cnf(1865,plain,
% 180.95/180.86     (~E(a2,a7)),
% 180.95/180.86     inference(scs_inference,[],[1849,469,28,2])).
% 180.95/180.86  cnf(1866,plain,
% 180.95/180.86     (~E(f8(a9,a9),f8(a2,x18661))),
% 180.95/180.86     inference(scs_inference,[],[1849,469,66,28,2,32])).
% 180.95/180.86  cnf(1867,plain,
% 180.95/180.86     (~P3(x18671,a2)),
% 180.95/180.86     inference(rename_variables,[],[66])).
% 180.95/180.86  cnf(1872,plain,
% 180.95/180.86     (P3(f4(a2,x18721,a9),f8(a9,a9))),
% 180.95/180.86     inference(scs_inference,[],[1856,1849,1805,469,685,66,28,2,32,13,40])).
% 180.95/180.86  cnf(1874,plain,
% 180.95/180.86     (~E(f8(a2,a2),a9)),
% 180.95/180.86     inference(scs_inference,[],[190,1856,1849,1805,469,685,1176,66,28,2,32,13,40,11])).
% 180.95/180.86  cnf(1875,plain,
% 180.95/180.86     (~E(f8(a6,a6),f8(a2,a2))),
% 180.95/180.86     inference(scs_inference,[],[190,1856,1849,1832,1805,469,685,1176,66,47,28,2,32,13,40,11,3])).
% 180.95/180.86  cnf(1877,plain,
% 180.95/180.86     (~E(f8(a9,a9),f8(x18771,a2))),
% 180.95/180.86     inference(scs_inference,[],[190,1856,1849,1832,1805,469,685,1176,66,1867,47,28,2,32,13,40,11,3,31])).
% 180.95/180.86  cnf(1882,plain,
% 180.95/180.86     (~E(f8(x18821,a2),f8(a9,a9))),
% 180.95/180.86     inference(scs_inference,[],[1877,1872,28,2])).
% 180.95/180.86  cnf(1887,plain,
% 180.95/180.86     (~E(a1,a7)),
% 180.95/180.86     inference(scs_inference,[],[1843,1865,1877,1858,1872,720,450,28,2,13,40,3])).
% 180.95/180.86  cnf(1888,plain,
% 180.95/180.86     (~E(f8(a1,x18881),f8(a5,a5))),
% 180.95/180.86     inference(scs_inference,[],[1843,1865,370,1877,1858,1872,720,450,169,28,2,13,40,3,11])).
% 180.95/180.86  cnf(1889,plain,
% 180.95/180.86     (E(f8(a2,x18891),f8(x18892,a1))),
% 180.95/180.86     inference(scs_inference,[],[1843,1865,370,1877,1858,1872,720,450,169,147,41,28,2,13,40,3,11,35])).
% 180.95/180.86  cnf(1890,plain,
% 180.95/180.86     (~P3(x18901,a1)),
% 180.95/180.86     inference(rename_variables,[],[41])).
% 180.95/180.86  cnf(1891,plain,
% 180.95/180.86     (~P3(x18911,f8(a2,x18912))),
% 180.95/180.86     inference(rename_variables,[],[147])).
% 180.95/180.86  cnf(1893,plain,
% 180.95/180.86     (P3(f4(a2,x18931,a5),f8(a7,a7))),
% 180.95/180.86     inference(scs_inference,[],[1843,1865,370,1877,1858,1872,720,450,626,78,169,147,41,28,2,13,40,3,11,35,30])).
% 180.95/180.86  cnf(1895,plain,
% 180.95/180.86     (~P3(f8(a5,a5),f4(x18951,a2,a5))),
% 180.95/180.86     inference(scs_inference,[],[1843,1865,370,1877,1858,1872,720,762,450,626,78,169,21,147,41,28,2,13,40,3,11,35,30,12])).
% 180.95/180.86  cnf(1897,plain,
% 180.95/180.86     (E(f8(a2,x18971),f8(a1,x18972))),
% 180.95/180.86     inference(scs_inference,[],[1843,1865,370,1877,1858,1872,720,762,450,626,78,169,21,147,1891,41,1890,28,2,13,40,3,11,35,30,12,36])).
% 180.95/180.86  cnf(1901,plain,
% 180.95/180.86     (P2(f4(x19011,a1,x19012),f4(x19011,a2,x19012))),
% 180.95/180.86     inference(scs_inference,[],[1843,1865,370,1877,1857,1858,1872,720,762,450,626,78,20,169,21,147,1891,41,1890,28,2,13,40,3,11,35,30,12,36,14])).
% 180.95/180.86  cnf(1905,plain,
% 180.95/180.86     (~E(f8(a2,x19051),f8(a9,a9))),
% 180.95/180.86     inference(scs_inference,[],[1866,1893,28,2])).
% 180.95/180.86  cnf(1908,plain,
% 180.95/180.86     (P2(f4(x19081,a1,x19082),f4(x19081,a2,x19082))),
% 180.95/180.86     inference(rename_variables,[],[1901])).
% 180.95/180.86  cnf(1912,plain,
% 180.95/180.86     (P2(f4(a2,a1,x19121),f4(a1,a2,x19121))),
% 180.95/180.86     inference(scs_inference,[],[1866,1901,1908,1893,1895,1856,1858,188,28,2,30,13,15])).
% 180.95/180.86  cnf(1915,plain,
% 180.95/180.86     (P3(f4(x19151,a2,a5),f8(a7,a7))),
% 180.95/180.86     inference(scs_inference,[],[1866,1901,1908,1893,1895,683,1856,1858,188,28,2,30,13,15,40])).
% 180.95/180.86  cnf(1917,plain,
% 180.95/180.86     (~E(a2,f8(a9,a9))),
% 180.95/180.86     inference(scs_inference,[],[1860,1866,1901,1908,1893,1895,683,1856,1858,188,17,28,2,30,13,15,40,11])).
% 180.95/180.86  cnf(1918,plain,
% 180.95/180.86     (~E(f8(x19181,a1),a7)),
% 180.95/180.86     inference(scs_inference,[],[1887,1860,1866,1901,1908,1893,1895,683,1856,1858,188,17,73,28,2,30,13,15,40,11,3])).
% 180.95/180.86  cnf(1919,plain,
% 180.95/180.87     (~E(f8(a1,x19191),f8(a9,a9))),
% 180.95/180.87     inference(scs_inference,[],[1887,1860,1866,1901,1908,1893,1895,683,363,1856,1858,188,17,73,45,28,2,30,13,15,40,11,3,34])).
% 180.95/180.87  cnf(1926,plain,
% 180.95/180.87     (P3(f4(x19261,a1,a7),f8(a7,a7))),
% 180.95/180.87     inference(scs_inference,[],[1919,1915,251,28,2,40])).
% 180.95/180.87  cnf(1929,plain,
% 180.95/180.87     (E(f3(a2,a2),f3(a1,a1))),
% 180.95/180.87     inference(scs_inference,[],[224,1919,1915,1854,1855,251,128,28,2,40,11,3])).
% 180.95/180.87  cnf(1932,plain,
% 180.95/180.87     (~E(f8(a2,x19321),f8(a5,a5))),
% 180.95/180.87     inference(scs_inference,[],[224,1919,1915,1854,1855,251,652,128,147,28,2,40,11,3,34])).
% 180.95/180.87  cnf(1939,plain,
% 180.95/180.87     (P3(f4(a5,a9,a2),f8(a9,a9))),
% 180.95/180.87     inference(scs_inference,[],[1932,1926,277,28,2,40])).
% 180.95/180.87  cnf(1941,plain,
% 180.95/180.87     (~E(f8(x19411,a1),f8(a9,a9))),
% 180.95/180.87     inference(scs_inference,[],[1932,1882,1926,1859,277,28,2,40,3])).
% 180.95/180.87  cnf(1948,plain,
% 180.95/180.87     (P3(f4(a1,x19481,a7),f8(a7,a7))),
% 180.95/180.87     inference(scs_inference,[],[1939,1941,300,28,2,40])).
% 180.95/180.87  cnf(1952,plain,
% 180.95/180.87     (E(f8(a1,x19521),f8(x19522,a2))),
% 180.95/180.87     inference(scs_inference,[],[1939,1851,1941,1897,300,45,66,28,2,40,3,35])).
% 180.95/180.87  cnf(1953,plain,
% 180.95/180.87     (~P3(x19531,a2)),
% 180.95/180.87     inference(rename_variables,[],[66])).
% 180.95/180.87  cnf(1954,plain,
% 180.95/180.87     (~P3(x19541,f8(a1,x19542))),
% 180.95/180.87     inference(rename_variables,[],[45])).
% 180.95/180.87  cnf(1958,plain,
% 180.95/180.87     (E(f8(a1,x19581),f8(a2,x19582))),
% 180.95/180.87     inference(scs_inference,[],[1939,1851,1941,1897,822,300,21,45,1954,66,1953,28,2,40,3,35,12,36])).
% 180.95/180.87  cnf(1962,plain,
% 180.95/180.87     (P2(f3(a1,a1),f3(a2,a2))),
% 180.95/180.87     inference(scs_inference,[],[1939,1851,1941,1897,1929,822,300,20,21,45,1954,66,1953,28,2,40,3,35,12,36,14])).
% 180.95/180.87  cnf(1966,plain,
% 180.95/180.87     (~E(f8(a2,a2),f8(a6,a6))),
% 180.95/180.87     inference(scs_inference,[],[1948,1875,28,2])).
% 180.95/180.87  cnf(1967,plain,
% 180.95/180.87     (P3(f4(x19671,a1,a9),f8(a9,a9))),
% 180.95/180.87     inference(scs_inference,[],[1948,1875,363,28,2,40])).
% 180.95/180.87  cnf(1971,plain,
% 180.95/180.87     (P2(f4(a2,a1,x19711),f4(a1,a1,x19711))),
% 180.95/180.87     inference(scs_inference,[],[1874,1948,1875,1889,1912,1857,363,28,2,40,3,15])).
% 180.95/180.87  cnf(1978,plain,
% 180.95/180.87     (~E(a1,f8(a9,a9))),
% 180.95/180.87     inference(scs_inference,[],[1905,1967,1917,1801,564,28,2,40,3])).
% 180.95/180.87  cnf(1994,plain,
% 180.95/180.87     (~P3(f3(a2,a2),f3(a1,a1))),
% 180.95/180.87     inference(scs_inference,[],[1962,1888,1978,1952,626,2,40,3,30,28])).
% 180.95/180.87  cnf(1996,plain,
% 180.95/180.87     (~P3(f3(a2,a2),f3(a2,a1))),
% 180.95/180.87     inference(scs_inference,[],[1994,284,1854,2,13])).
% 180.95/180.87  cnf(2000,plain,
% 180.95/180.87     (E(f4(a2,a2,x20001),f4(a1,a1,x20001))),
% 180.95/180.87     inference(scs_inference,[],[1994,284,1854,1856,1857,652,2,13,40,3])).
% 180.95/180.87  cnf(2009,plain,
% 180.95/180.87     (~E(a1,f8(a5,a5))),
% 180.95/180.87     inference(scs_inference,[],[382,2])).
% 180.95/180.87  cnf(2012,plain,
% 180.95/180.87     (~E(f8(a2,x20121),f8(a6,a6))),
% 180.95/180.87     inference(scs_inference,[],[1966,1823,382,272,2,40,3])).
% 180.95/180.87  cnf(2017,plain,
% 180.95/180.87     (~E(f8(a6,a6),f8(a2,x20171))),
% 180.95/180.87     inference(scs_inference,[],[2012,2])).
% 180.95/180.87  cnf(2020,plain,
% 180.95/180.87     (E(f4(a2,a2,a2),f4(a1,a1,a1))),
% 180.95/180.87     inference(scs_inference,[],[2000,2012,1858,123,2,40,3])).
% 180.95/180.87  cnf(2023,plain,
% 180.95/180.87     (~E(f8(a1,x20231),a6)),
% 180.95/180.87     inference(scs_inference,[],[2000,2012,23,1858,123,169,2,40,3,11])).
% 180.95/180.87  cnf(2024,plain,
% 180.95/180.87     (~P3(x20241,f4(a2,a2,a2))+P3(x20241,f4(a1,a1,a1))),
% 180.95/180.87     inference(scs_inference,[],[2000,2012,23,1858,123,169,2,40,3,11,13])).
% 180.95/180.87  cnf(2028,plain,
% 180.95/180.87     (~E(a6,f8(a2,x20281))),
% 180.95/180.87     inference(scs_inference,[],[2017,2023,89,21,2,40,3])).
% 180.95/180.87  cnf(2031,plain,
% 180.95/180.87     (P2(f4(a1,a1,a1),f4(a2,a2,a2))),
% 180.95/180.87     inference(scs_inference,[],[2020,2028,20,2,14])).
% 180.95/180.87  cnf(2033,plain,
% 180.95/180.87     (~P3(x20331,f4(a1,a1,a1))+P3(x20331,f4(a2,a2,a2))),
% 180.95/180.87     inference(scs_inference,[],[2020,2028,20,2,14,30])).
% 180.95/180.87  cnf(2040,plain,
% 180.95/180.87     (P2(f4(a1,a1,a1),f4(a1,a1,a2))),
% 180.95/180.87     inference(scs_inference,[],[2031,1837,114,2000,674,2,3,15])).
% 180.95/180.87  cnf(2044,plain,
% 180.95/180.87     (~E(a2,a6)),
% 180.95/180.87     inference(scs_inference,[],[2009,710,23,17,73,2,3,11])).
% 180.95/180.87  cnf(2045,plain,
% 180.95/180.87     (~E(a6,a2)),
% 180.95/180.87     inference(scs_inference,[],[2044,2])).
% 180.95/180.87  cnf(2046,plain,
% 180.95/180.87     (~E(a1,a6)),
% 180.95/180.87     inference(scs_inference,[],[2044,1843,2,3])).
% 180.95/180.87  cnf(2048,plain,
% 180.95/180.87     (~E(f8(x20481,a1),a6)),
% 180.95/180.87     inference(scs_inference,[],[2046,73,2,3])).
% 180.95/180.87  cnf(2051,plain,
% 180.95/180.87     (P2(f4(a1,a1,x20511),f4(a2,a2,x20511))),
% 180.95/180.87     inference(scs_inference,[],[2046,2040,2000,20,73,2,3,30,14])).
% 180.95/180.87  cnf(2055,plain,
% 180.95/180.87     (~P3(f4(a1,a1,a2),f4(a1,a1,a1))),
% 180.95/180.87     inference(scs_inference,[],[2046,2040,2000,20,73,2,3,30,14,28])).
% 180.95/180.87  cnf(2057,plain,
% 180.95/180.87     (~P3(f4(a1,a1,a2),f4(a2,a2,a2))),
% 180.95/180.87     inference(scs_inference,[],[2055,2024])).
% 180.95/180.87  cnf(2059,plain,
% 180.95/180.87     (~P3(f4(a2,a2,a2),f4(a1,a1,a1))),
% 180.95/180.87     inference(scs_inference,[],[2055,2048,2000,2024,2,12])).
% 180.95/180.87  cnf(2060,plain,
% 180.95/180.87     (E(f4(a2,a2,x20601),f4(a1,a1,x20601))),
% 180.95/180.87     inference(rename_variables,[],[2000])).
% 180.95/180.87  cnf(2061,plain,
% 180.95/180.87     (~P3(f4(a1,a1,a2),f4(a2,a1,a1))),
% 180.95/180.87     inference(scs_inference,[],[2055,1971,2048,2000,2024,2,12,30])).
% 180.95/180.87  cnf(2064,plain,
% 180.95/180.87     (~P3(f4(a1,a1,a2),f4(a2,a2,a1))),
% 180.95/180.87     inference(scs_inference,[],[2055,1971,2048,2000,2060,2024,2,12,30,13])).
% 180.95/180.87  cnf(2066,plain,
% 180.95/180.87     (P2(f4(a1,a1,a2),f4(a1,a1,a1))),
% 180.95/180.87     inference(scs_inference,[],[2055,1971,2051,2048,2020,2000,2060,2024,2,12,30,13,15])).
% 180.95/180.87  cnf(2071,plain,
% 180.95/180.87     (~P3(f4(a2,a1,a2),f4(a2,a2,a2))),
% 180.95/180.87     inference(scs_inference,[],[2059,2066,2057,440,1856,2,30,12])).
% 180.95/180.87  cnf(2072,plain,
% 180.95/180.87     (E(f4(a2,x20721,x20722),f4(a1,x20721,x20722))),
% 180.95/180.87     inference(rename_variables,[],[1856])).
% 180.95/180.87  cnf(2073,plain,
% 180.95/180.87     (~P3(f4(a2,a2,a2),f4(a2,a2,a2))),
% 180.95/180.87     inference(scs_inference,[],[2059,2066,2057,440,2020,1856,2,30,12,13])).
% 180.95/180.87  cnf(2074,plain,
% 180.95/180.87     (E(f4(a2,x20741,a2),f4(a1,x20741,a1))),
% 180.95/180.87     inference(scs_inference,[],[2059,2066,2057,440,2020,1856,2072,1858,2,30,12,13,3])).
% 180.95/180.87  cnf(2077,plain,
% 180.95/180.87     (~P3(f4(a2,a1,a2),f4(a1,a1,a1))),
% 180.95/180.87     inference(scs_inference,[],[2059,2066,2057,440,2020,1856,2072,1858,2,30,12,13,3,2033])).
% 180.95/180.87  cnf(2079,plain,
% 180.95/180.87     (~E(f8(a5,a9),a1)),
% 180.95/180.87     inference(scs_inference,[],[80,2])).
% 180.95/180.87  cnf(2082,plain,
% 180.95/180.87     (~P3(f4(a1,a2,a2),f4(a2,a1,a1))),
% 180.95/180.87     inference(scs_inference,[],[2077,2061,2066,80,1857,2,30,12])).
% 180.95/180.87  cnf(2086,plain,
% 180.95/180.87     (~E(f8(a6,a6),a2)),
% 180.95/180.87     inference(scs_inference,[],[2045,2077,2061,2074,2066,80,1857,47,2,30,12,13,3])).
% 180.95/180.87  cnf(2088,plain,
% 180.95/180.87     (~E(a2,f8(a6,a6))),
% 180.95/180.87     inference(scs_inference,[],[2086,2])).
% 180.95/180.87  cnf(2094,plain,
% 180.95/180.87     (~P3(f4(a1,a2,a2),f4(a2,a2,a1))),
% 180.95/180.87     inference(scs_inference,[],[2073,2086,2064,2082,1901,2000,1857,2,30,12,13])).
% 180.95/180.87  cnf(2100,plain,
% 180.95/180.87     (~P3(f4(a1,a2,a2),f4(a1,a1,a1))),
% 180.95/180.87     inference(scs_inference,[],[2094,2051,282,2,30])).
% 180.95/180.87  cnf(2107,plain,
% 180.95/180.87     (~E(a1,f8(a6,a6))),
% 180.95/180.87     inference(scs_inference,[],[2094,2088,2051,2061,282,1843,1856,1858,2,30,12,13,3])).
% 180.95/180.87  cnf(2110,plain,
% 180.95/180.87     (~E(f8(a6,a6),a1)),
% 180.95/180.87     inference(scs_inference,[],[2107,2])).
% 180.95/180.87  cnf(2111,plain,
% 180.95/180.87     (~P3(f4(a1,a2,a2),f4(a1,a1,a2))),
% 180.95/180.87     inference(scs_inference,[],[2100,2107,2066,2,30])).
% 180.95/180.87  cnf(2129,plain,
% 180.95/180.87     (~P3(x21291,f4(a2,a1,a1))+P3(x21291,f4(a1,a2,a2))),
% 180.95/180.87     inference(scs_inference,[],[1918,1958,1912,131,1858,2,14,3,30])).
% 180.95/180.87  cnf(2139,plain,
% 180.95/180.87     (P2(f4(a2,a1,a1),f4(a1,a1,a2))),
% 180.95/180.87     inference(scs_inference,[],[1971,51,1858,2,14])).
% 180.95/180.87  cnf(2152,plain,
% 180.95/180.87     (~P2(f8(a9,a5),f8(a9,a7))),
% 180.95/180.87     inference(scs_inference,[],[1819,22,14])).
% 180.95/180.87  cnf(2161,plain,
% 180.95/180.87     (~P3(x21611,f8(f4(a2,a1,a1),x21612))+P3(x21611,f4(a1,a2,a2))),
% 180.95/180.87     inference(scs_inference,[],[2129,39])).
% 180.95/180.87  cnf(2181,plain,
% 180.95/180.87     (E(a1,f8(x21811,a2))),
% 180.95/180.87     inference(scs_inference,[],[41,66,35])).
% 180.95/180.87  cnf(2183,plain,
% 180.95/180.87     (~P3(x21831,a1)),
% 180.95/180.87     inference(rename_variables,[],[41])).
% 180.95/180.87  cnf(2185,plain,
% 180.95/180.87     (E(a1,f8(a1,x21851))),
% 180.95/180.87     inference(scs_inference,[],[41,2183,66,35,36])).
% 180.95/180.87  cnf(2190,plain,
% 180.95/180.87     (E(f8(x21901,a2),f8(x21902,a1))),
% 180.95/180.87     inference(scs_inference,[],[41,149,35])).
% 180.95/180.87  cnf(2210,plain,
% 180.95/180.87     (E(a1,f8(a2,x22101))),
% 180.95/180.87     inference(scs_inference,[],[41,66,36])).
% 180.95/180.87  cnf(2230,plain,
% 180.95/180.87     (E(f8(x22301,a1),f8(x22302,a2))),
% 180.95/180.87     inference(scs_inference,[],[43,66,35])).
% 180.95/180.87  cnf(2231,plain,
% 180.95/180.87     (~P3(x22311,a2)),
% 180.95/180.87     inference(rename_variables,[],[66])).
% 180.95/180.87  cnf(2232,plain,
% 180.95/180.87     (~P3(x22321,f8(x22322,a1))),
% 180.95/180.87     inference(rename_variables,[],[43])).
% 180.95/180.87  cnf(2234,plain,
% 180.95/180.87     (E(f8(x22341,a1),f8(a2,x22342))),
% 180.95/180.87     inference(scs_inference,[],[43,2232,66,2231,35,36])).
% 180.95/180.87  cnf(2240,plain,
% 180.95/180.87     (~E(f8(a9,a5),a1)),
% 180.95/180.87     inference(scs_inference,[],[2079,22,3])).
% 180.95/180.87  cnf(2243,plain,
% 180.95/180.87     (~E(a1,f8(a9,a5))),
% 180.95/180.87     inference(scs_inference,[],[2240,2])).
% 180.95/180.87  cnf(2258,plain,
% 180.95/180.87     (~E(f8(a2,x22581),f8(a9,a5))),
% 180.95/180.87     inference(scs_inference,[],[2210,2243,3])).
% 180.95/180.87  cnf(2264,plain,
% 180.95/180.87     (~E(f8(a9,a5),f8(x22641,a2))),
% 180.95/180.87     inference(scs_inference,[],[2181,2243,3,2])).
% 180.95/180.87  cnf(2265,plain,
% 180.95/180.87     (E(a1,f8(x22651,f8(a2,x22652)))),
% 180.95/180.87     inference(scs_inference,[],[16,147,27,35])).
% 180.95/180.87  cnf(2267,plain,
% 180.95/180.87     (E(a2,f8(x22671,a2))),
% 180.95/180.87     inference(scs_inference,[],[66,35])).
% 180.95/180.87  cnf(2269,plain,
% 180.95/180.87     (~P3(x22691,a2)),
% 180.95/180.87     inference(rename_variables,[],[66])).
% 180.95/180.87  cnf(2271,plain,
% 180.95/180.87     (E(a2,f8(a2,x22711))),
% 180.95/180.87     inference(scs_inference,[],[66,2269,35,36])).
% 180.95/180.87  cnf(2276,plain,
% 180.95/180.87     (E(a2,f8(x22761,a1))),
% 180.95/180.87     inference(scs_inference,[],[66,41,35])).
% 180.95/180.87  cnf(2305,plain,
% 180.95/180.87     (E(f8(a1,x23051),f8(f8(a2,x23052),x23053))),
% 180.95/180.87     inference(scs_inference,[],[169,147,27,36])).
% 180.95/180.87  cnf(2306,plain,
% 180.95/180.87     (E(a2,f8(f8(x23061,a2),x23062))),
% 180.95/180.87     inference(scs_inference,[],[17,149,27,36])).
% 180.95/180.87  cnf(2322,plain,
% 180.95/180.87     (E(f8(x23221,f8(x23222,a2)),f8(x23221,a2))),
% 180.95/180.87     inference(scs_inference,[],[2267,2,5])).
% 180.95/180.87  cnf(2323,plain,
% 180.95/180.87     (E(f4(x23231,f8(a2,x23232),x23233),f4(x23231,a2,x23233))),
% 180.95/180.87     inference(scs_inference,[],[2271,2,7])).
% 180.95/180.87  cnf(2324,plain,
% 180.95/180.87     (E(f4(x23241,x23242,f8(x23243,a1)),f4(x23241,x23242,a2))),
% 180.95/180.87     inference(scs_inference,[],[2276,2,8])).
% 180.95/180.87  cnf(2341,plain,
% 180.95/180.87     (E(f4(x23411,f8(a1,x23412),x23413),f4(x23411,a1,x23413))),
% 180.95/180.87     inference(scs_inference,[],[2185,2,7])).
% 180.95/180.87  cnf(2342,plain,
% 180.95/180.87     (E(f4(x23421,x23422,f8(a2,x23423)),f4(x23421,x23422,a1))),
% 180.95/180.87     inference(scs_inference,[],[2210,2,8])).
% 180.95/180.87  cnf(2369,plain,
% 180.95/180.87     (E(f4(x23691,f8(x23692,a1),x23693),f4(x23691,a2,x23693))),
% 180.95/180.87     inference(scs_inference,[],[2276,2,7])).
% 180.95/180.87  cnf(2407,plain,
% 180.95/180.87     (E(f3(x24071,a1),f3(x24071,a2))),
% 180.95/180.87     inference(scs_inference,[],[1843,2,10])).
% 180.95/180.87  cnf(2408,plain,
% 180.95/180.87     (~P3(f3(a2,a1),f3(a2,a1))),
% 180.95/180.87     inference(scs_inference,[],[2407,1996,12])).
% 180.95/180.87  cnf(2409,plain,
% 180.95/180.87     (E(f3(x24091,a1),f3(x24091,a2))),
% 180.95/180.87     inference(rename_variables,[],[2407])).
% 180.95/180.87  cnf(2412,plain,
% 180.95/180.87     (E(f3(a2,a1),f3(a1,a2))),
% 180.95/180.87     inference(scs_inference,[],[2407,2409,1996,1854,1855,12,13,3])).
% 180.95/180.87  cnf(2423,plain,
% 180.95/180.87     (E(f8(x24231,f3(a1,a2)),f8(x24231,f3(a2,a1)))),
% 180.95/180.87     inference(scs_inference,[],[2412,2,5])).
% 180.95/180.87  cnf(2437,plain,
% 180.95/180.87     (E(f4(x24371,a1,x24372),f4(x24371,a2,x24372))),
% 180.95/180.87     inference(scs_inference,[],[1843,2,7])).
% 180.95/180.87  cnf(2438,plain,
% 180.95/180.87     (P2(f4(a2,a2,a1),f4(a1,a1,a2))),
% 180.95/180.87     inference(scs_inference,[],[2139,2437,14])).
% 180.95/180.87  cnf(2439,plain,
% 180.95/180.87     (E(f4(x24391,a1,x24392),f4(x24391,a2,x24392))),
% 180.95/180.87     inference(rename_variables,[],[2437])).
% 180.95/180.87  cnf(2440,plain,
% 180.95/180.87     (E(f4(a2,a1,a2),f4(a1,a2,a1))),
% 180.95/180.87     inference(scs_inference,[],[2139,2437,2439,2074,14,3])).
% 180.95/180.87  cnf(2441,plain,
% 180.95/180.87     (E(f4(x24411,a1,x24412),f4(x24411,a2,x24412))),
% 180.95/180.87     inference(rename_variables,[],[2437])).
% 180.95/180.87  cnf(2443,plain,
% 180.95/180.87     (~P3(f4(a1,a1,a2),f4(a1,a1,a2))),
% 180.95/180.87     inference(scs_inference,[],[2139,2437,2439,2441,2111,2074,14,3,12])).
% 180.95/180.87  cnf(2445,plain,
% 180.95/180.87     (~P3(x24451,f4(a2,a1,a2))+P3(x24451,f4(a1,a2,a1))),
% 180.95/180.87     inference(scs_inference,[],[2139,2437,2439,2441,2111,2074,14,3,12,13])).
% 180.95/180.87  cnf(2447,plain,
% 180.95/180.87     (P2(f4(a2,a2,a1),f4(a1,a2,a2))),
% 180.95/180.87     inference(scs_inference,[],[2438,2437,15])).
% 180.95/180.87  cnf(2450,plain,
% 180.95/180.87     (E(f8(f4(a1,a2,a1),x24501),f8(f4(a2,a1,a2),x24501))),
% 180.95/180.87     inference(scs_inference,[],[2440,2,4])).
% 180.95/180.87  cnf(2451,plain,
% 180.95/180.87     (P2(f4(a1,a2,a1),f4(a2,a2,a2))),
% 180.95/180.87     inference(scs_inference,[],[2440,1901,14])).
% 180.95/180.87  cnf(2453,plain,
% 180.95/180.87     (E(f4(a2,a1,x24531),f4(a1,a2,x24531))),
% 180.95/180.87     inference(scs_inference,[],[2440,1901,2437,1856,14,3])).
% 180.95/180.87  cnf(2457,plain,
% 180.95/180.87     (~P3(f4(a2,a1,a2),f4(a1,a2,a1))),
% 180.95/180.87     inference(scs_inference,[],[2451,2071,30])).
% 180.95/180.87  cnf(2459,plain,
% 180.95/180.87     (~P3(f4(a2,a2,a2),f4(a1,a2,a1))),
% 180.95/180.87     inference(scs_inference,[],[2451,2071,1857,30,12])).
% 180.95/180.87  cnf(2461,plain,
% 180.95/180.87     (P2(f4(a1,a2,a1),f4(a1,a1,a1))),
% 180.95/180.87     inference(scs_inference,[],[2451,2071,2020,1857,30,12,15])).
% 180.95/180.87  cnf(2463,plain,
% 180.95/180.87     (~P3(f4(a1,a2,a2),f4(a1,a2,a1))),
% 180.95/180.87     inference(scs_inference,[],[2461,2100,30])).
% 180.95/180.87  cnf(2466,plain,
% 180.95/180.87     (~P3(f4(a1,a1,a2),f4(a1,a2,a1))),
% 180.95/180.87     inference(scs_inference,[],[2461,2055,30])).
% 180.95/180.87  cnf(2472,plain,
% 180.95/180.87     (E(f4(x24721,a1,a2),f4(x24721,a2,a1))),
% 180.95/180.87     inference(scs_inference,[],[2437,1858,3])).
% 180.95/180.87  cnf(2473,plain,
% 180.95/180.87     (E(f4(x24731,x24732,a2),f4(x24731,x24732,a1))),
% 180.95/180.87     inference(rename_variables,[],[1858])).
% 180.95/180.87  cnf(2475,plain,
% 180.95/180.87     (P2(f4(a2,a2,a1),f4(a1,a2,a1))),
% 180.95/180.87     inference(scs_inference,[],[2447,2437,1858,2473,3,15])).
% 180.95/180.87  cnf(2479,plain,
% 180.95/180.87     (~P3(f4(a1,a1,a2),f4(a1,a2,a2))),
% 180.95/180.87     inference(scs_inference,[],[2443,1857,13])).
% 180.95/180.87  cnf(2490,plain,
% 181.01/180.87     (~P3(f4(a1,a2,a2),f4(a1,a2,a2))),
% 181.01/180.87     inference(scs_inference,[],[1857,2479,12])).
% 181.01/180.87  cnf(2491,plain,
% 181.01/180.87     (E(f4(x24911,a2,x24912),f4(x24911,a1,x24912))),
% 181.01/180.87     inference(rename_variables,[],[1857])).
% 181.01/180.87  cnf(2492,plain,
% 181.01/180.87     (E(f4(x24921,a2,a2),f4(x24921,a1,a1))),
% 181.01/180.87     inference(scs_inference,[],[1857,2491,2479,1858,12,3])).
% 181.01/180.87  cnf(2515,plain,
% 181.01/180.87     (P2(f4(x25151,a1,a2),f4(x25151,a1,a1))),
% 181.01/180.87     inference(scs_inference,[],[1901,2492,15])).
% 181.01/180.87  cnf(2517,plain,
% 181.01/180.87     (P2(f4(x25171,a1,x25172),f4(x25171,a2,x25172))),
% 181.01/180.87     inference(rename_variables,[],[1901])).
% 181.01/180.87  cnf(2518,plain,
% 181.01/180.87     (P2(f4(a1,a2,x25181),f4(a2,a2,x25181))),
% 181.01/180.87     inference(scs_inference,[],[1901,2517,2453,2492,15,14])).
% 181.01/180.87  cnf(2525,plain,
% 181.01/180.87     (P2(f4(x25251,a2,a2),f4(x25251,a1,a1))),
% 181.01/180.87     inference(scs_inference,[],[2515,2437,14])).
% 181.01/180.87  cnf(2527,plain,
% 181.01/180.87     (P2(f4(a1,a2,a2),f4(a1,a2,a1))),
% 181.01/180.87     inference(scs_inference,[],[2515,2518,2437,2074,14,15])).
% 181.01/180.87  cnf(2534,plain,
% 181.01/180.87     (P2(f4(a1,a2,a1),f4(a2,a1,a1))),
% 181.01/180.87     inference(scs_inference,[],[2515,2440,14])).
% 181.01/180.87  cnf(2536,plain,
% 181.01/180.87     (P2(f4(a2,a2,a2),f4(a1,a2,a1))),
% 181.01/180.87     inference(scs_inference,[],[2525,2515,2440,2453,14,15])).
% 181.01/180.87  cnf(2545,plain,
% 181.01/180.87     (P3(f4(a6,a6,a1),a6)),
% 181.01/180.87     inference(scs_inference,[],[2110,41,2,35])).
% 181.01/180.87  cnf(2546,plain,
% 181.01/180.87     (~P3(a6,f4(a6,a6,a1))),
% 181.01/180.87     inference(scs_inference,[],[2545,28])).
% 181.01/180.87  cnf(2548,plain,
% 181.01/180.87     (~P3(f8(a6,a6),f4(a6,a6,a1))),
% 181.01/180.87     inference(scs_inference,[],[2545,21,28,12])).
% 181.01/180.87  cnf(2580,plain,
% 181.01/180.87     (P2(f4(a2,a2,x25801),f4(a1,a1,x25801))),
% 181.01/180.87     inference(scs_inference,[],[1971,2437,14])).
% 181.01/180.87  cnf(2582,plain,
% 181.01/180.87     (P2(f4(a2,a1,a2),f4(a1,a2,a1))),
% 181.01/180.87     inference(scs_inference,[],[1971,2437,2472,14,15])).
% 181.01/180.87  cnf(2586,plain,
% 181.01/180.87     (E(f4(x25861,x25862,a1),f4(x25861,x25862,a2))),
% 181.01/180.87     inference(scs_inference,[],[1843,2,8])).
% 181.01/180.87  cnf(2587,plain,
% 181.01/180.87     (~P3(f4(a2,a1,a1),f4(a1,a2,a1))),
% 181.01/180.87     inference(scs_inference,[],[2457,2586,12])).
% 181.01/180.87  cnf(2588,plain,
% 181.01/180.87     (E(f4(x25881,x25882,a1),f4(x25881,x25882,a2))),
% 181.01/180.87     inference(rename_variables,[],[2586])).
% 181.01/180.87  cnf(2589,plain,
% 181.01/180.87     (E(f4(a2,a2,a1),f4(a1,a1,a2))),
% 181.01/180.87     inference(scs_inference,[],[2457,2586,2588,2000,12,3])).
% 181.01/180.87  cnf(2592,plain,
% 181.01/180.87     (~P3(f4(a2,a1,a1),f4(a2,a2,a1))),
% 181.01/180.87     inference(scs_inference,[],[2457,2475,2586,2588,2000,12,3,30])).
% 181.01/180.87  cnf(2594,plain,
% 181.01/180.87     (~P3(f4(a2,a1,a1),f4(a2,a1,a2))),
% 181.01/180.87     inference(scs_inference,[],[2457,2475,2586,2588,2440,2000,12,3,30,13])).
% 181.01/180.87  cnf(2596,plain,
% 181.01/180.87     (~P3(f4(a2,a1,a1),f4(a1,a1,a1))),
% 181.01/180.87     inference(scs_inference,[],[2592,2051,30])).
% 181.01/180.87  cnf(2599,plain,
% 181.01/180.87     (~P3(f4(a2,a2,a1),f4(a1,a2,a1))),
% 181.01/180.87     inference(scs_inference,[],[2459,2592,2586,2051,30,12])).
% 181.01/180.87  cnf(2601,plain,
% 181.01/180.87     (~P3(f4(a2,a2,a1),f4(a2,a1,a2))),
% 181.01/180.87     inference(scs_inference,[],[2459,2592,2586,2051,30,12,2445])).
% 181.01/180.87  cnf(2606,plain,
% 181.01/180.87     (~P3(f4(a1,a2,a1),f4(a1,a2,a1))),
% 181.01/180.87     inference(scs_inference,[],[2463,2527,2587,2586,30,12])).
% 181.01/180.87  cnf(2608,plain,
% 181.01/180.87     (P2(f4(a1,a1,a2),f4(a1,a2,a1))),
% 181.01/180.87     inference(scs_inference,[],[2463,2527,2536,2587,2586,2000,30,12,14])).
% 181.01/180.87  cnf(2613,plain,
% 181.01/180.87     (~P3(f4(a2,a1,a1),f4(a1,a1,a2))),
% 181.01/180.87     inference(scs_inference,[],[2596,2515,30])).
% 181.01/180.87  cnf(2616,plain,
% 181.01/180.87     (~P3(f4(a1,a2,a1),f4(a1,a2,a2))),
% 181.01/180.87     inference(scs_inference,[],[2490,2596,2515,2586,30,12])).
% 181.01/180.87  cnf(2617,plain,
% 181.01/180.87     (E(f4(x26171,x26172,a1),f4(x26171,x26172,a2))),
% 181.01/180.87     inference(rename_variables,[],[2586])).
% 181.01/180.87  cnf(2618,plain,
% 181.01/180.87     (P2(f4(a1,a2,a1),f4(a2,a1,a2))),
% 181.01/180.87     inference(scs_inference,[],[2490,2534,2596,2515,2586,2617,30,12,15])).
% 181.01/180.87  cnf(2623,plain,
% 181.01/180.87     (~P3(f4(a1,a1,a1),f4(a1,a2,a1))),
% 181.01/180.87     inference(scs_inference,[],[2466,2582,2606,2586,30,12])).
% 181.01/180.87  cnf(2627,plain,
% 181.01/180.87     (E(f4(a2,a2,a1),f4(a1,a2,a2))),
% 181.01/180.87     inference(scs_inference,[],[2466,2582,2599,2606,2589,2586,2074,2437,30,12,13,3])).
% 181.01/180.87  cnf(2629,plain,
% 181.01/180.87     (~P3(f4(a2,a2,a1),f4(a1,a1,a1))),
% 181.01/180.87     inference(scs_inference,[],[2466,2582,2599,2606,2589,2586,2074,2437,30,12,13,3,2033])).
% 181.01/180.87  cnf(2632,plain,
% 181.01/180.87     (~P3(f4(a1,a1,a1),f4(a1,a1,a2))),
% 181.01/180.87     inference(scs_inference,[],[2608,2623,30])).
% 181.01/180.87  cnf(2642,plain,
% 181.01/180.87     (P2(f4(a2,a2,x26421),f4(a1,a1,x26421))),
% 181.01/180.87     inference(rename_variables,[],[2580])).
% 181.01/180.87  cnf(2644,plain,
% 181.01/180.87     (~P3(f4(a2,a2,a1),f4(a1,a1,a2))),
% 181.01/180.87     inference(scs_inference,[],[2629,2632,2580,2000,30,12])).
% 181.01/180.87  cnf(2650,plain,
% 181.01/180.87     (P2(f4(a1,a2,x26501),f4(a1,a1,x26501))),
% 181.01/180.87     inference(scs_inference,[],[2601,2616,2629,2632,2580,2642,2586,1856,2000,30,12,13,2129,14])).
% 181.01/180.87  cnf(2654,plain,
% 181.01/180.87     (E(f4(a2,a1,a1),f4(a1,a2,a2))),
% 181.01/180.87     inference(scs_inference,[],[2627,2437,3])).
% 181.01/180.87  cnf(2697,plain,
% 181.01/180.87     (P3(f4(a2,x26971,f8(a6,a6)),f8(a6,a6))),
% 181.01/180.87     inference(scs_inference,[],[2012,66,2,36])).
% 181.01/180.87  cnf(2734,plain,
% 181.01/180.87     (E(f3(a1,x27341),f3(a2,x27341))),
% 181.01/180.87     inference(scs_inference,[],[1843,2,9])).
% 181.01/180.87  cnf(2735,plain,
% 181.01/180.87     (~P3(f3(a1,a1),f3(a2,a1))),
% 181.01/180.87     inference(scs_inference,[],[2734,2408,12])).
% 181.01/180.87  cnf(2736,plain,
% 181.01/180.87     (E(f3(a1,x27361),f3(a2,x27361))),
% 181.01/180.87     inference(rename_variables,[],[2734])).
% 181.01/180.87  cnf(2738,plain,
% 181.01/180.87     (E(f3(a1,x27381),f3(a2,x27381))),
% 181.01/180.87     inference(rename_variables,[],[2734])).
% 181.01/180.87  cnf(2739,plain,
% 181.01/180.87     (E(f3(a1,a1),f3(a2,a2))),
% 181.01/180.87     inference(scs_inference,[],[2734,2736,2738,2408,2407,12,13,3])).
% 181.01/180.87  cnf(2753,plain,
% 181.01/180.87     (E(f8(x27531,f3(a2,a2)),f8(x27531,f3(a1,a1)))),
% 181.01/180.87     inference(scs_inference,[],[2739,2,5])).
% 181.01/180.87  cnf(2879,plain,
% 181.01/180.87     (P3(f3(f8(a9,a5),f8(a9,a7)),a5)),
% 181.01/180.87     inference(scs_inference,[],[2152,29,38])).
% 181.01/180.87  cnf(2880,plain,
% 181.01/180.87     (P3(f3(f8(a9,a5),f8(a7,a9)),a9)),
% 181.01/180.87     inference(scs_inference,[],[1821,29,39])).
% 181.01/180.87  cnf(2881,plain,
% 181.01/180.87     (P3(f3(f8(a5,a9),f8(a9,a7)),a9)),
% 181.01/180.87     inference(scs_inference,[],[1819,29,38])).
% 181.01/180.87  cnf(2882,plain,
% 181.01/180.87     (P3(f3(f8(a9,a5),f8(a9,a7)),a9)),
% 181.01/180.87     inference(scs_inference,[],[2152,29,39])).
% 181.01/180.87  cnf(2884,plain,
% 181.01/180.87     (P3(f3(f8(a5,a9),f8(a9,a7)),a5)),
% 181.01/180.87     inference(scs_inference,[],[1819,29,39])).
% 181.01/180.87  cnf(2885,plain,
% 181.01/180.87     (P3(f8(f3(f8(a9,a5),f8(a9,a7)),f3(f8(a9,a5),f8(a9,a7))),f8(a9,a5))),
% 181.01/180.87     inference(scs_inference,[],[2152,47,29,12])).
% 181.01/180.87  cnf(2887,plain,
% 181.01/180.87     (P3(f3(f8(a5,a9),f8(a9,a7)),f8(f8(a5,a9),f8(a5,a9)))),
% 181.01/180.87     inference(scs_inference,[],[1819,47,29,13])).
% 181.01/180.87  cnf(2889,plain,
% 181.01/180.87     (~P2(f8(a9,a5),a1)),
% 181.01/180.87     inference(scs_inference,[],[1821,41,29,30])).
% 181.01/180.87  cnf(2890,plain,
% 181.01/180.87     (~P2(f8(a9,a5),f8(a2,a2))),
% 181.01/180.87     inference(scs_inference,[],[2889,1801,15])).
% 181.01/180.87  cnf(2891,plain,
% 181.01/180.87     (~P2(f8(a5,a9),a1)),
% 181.01/180.87     inference(scs_inference,[],[2889,1801,22,15,14])).
% 181.01/180.87  cnf(2894,plain,
% 181.01/180.87     (~P2(f8(a5,a9),f8(a1,x28941))),
% 181.01/180.87     inference(scs_inference,[],[2891,1830,15])).
% 181.01/180.87  cnf(2896,plain,
% 181.01/180.87     (~P2(f8(a5,a9),f8(x28961,a2))),
% 181.01/180.87     inference(scs_inference,[],[2894,2190,15])).
% 181.01/180.87  cnf(2900,plain,
% 181.01/180.87     (~P2(f8(a9,a5),f8(x29001,a1))),
% 181.01/180.87     inference(scs_inference,[],[2890,2230,15])).
% 181.01/180.87  cnf(2902,plain,
% 181.01/180.87     (~P3(f3(f8(a9,a5),f8(a7,a9)),a7)),
% 181.01/180.87     inference(scs_inference,[],[2880,470])).
% 181.01/180.87  cnf(2903,plain,
% 181.01/180.87     (~E(f8(f8(a2,x29031),x29032),f8(a9,a5))),
% 181.01/180.87     inference(scs_inference,[],[245,2900,29,14])).
% 181.01/180.87  cnf(2904,plain,
% 181.01/180.87     (~P3(f3(f8(a5,a9),f8(a9,a7)),f8(a9,a7))),
% 181.01/180.87     inference(scs_inference,[],[1819,33])).
% 181.01/180.87  cnf(2906,plain,
% 181.01/180.87     (P3(f3(f8(a5,a9),f8(x29061,a2)),f8(a5,a9))),
% 181.01/180.87     inference(scs_inference,[],[2896,1819,33,29])).
% 181.01/180.87  cnf(2916,plain,
% 181.01/180.87     (E(f8(f4(x29161,f8(a2,x29162),x29163),x29164),f8(f4(x29161,a2,x29163),x29164))),
% 181.01/180.87     inference(scs_inference,[],[2697,2323,2896,1819,33,29,38,8,10,6,9,7,5,4])).
% 181.01/180.87  cnf(2919,plain,
% 181.01/180.87     (P3(f3(f8(a5,a9),f8(a9,a7)),f8(a5,a9))),
% 181.01/180.87     inference(scs_inference,[],[2697,2323,2887,2896,1819,33,29,38,8,10,6,9,7,5,4,27,39])).
% 181.01/180.87  cnf(2924,plain,
% 181.01/180.87     (~E(f8(a6,a6),f8(f8(x29241,f8(a2,x29242)),x29243))),
% 181.01/180.87     inference(scs_inference,[],[2903,2697,2323,2887,247,2896,1819,33,29,38,8,10,6,9,7,5,4,27,39,28,2,32])).
% 181.01/180.87  cnf(2925,plain,
% 181.01/180.87     (~P3(x29251,f8(x29252,f8(a2,x29253)))),
% 181.01/180.87     inference(rename_variables,[],[247])).
% 181.01/180.87  cnf(2927,plain,
% 181.01/180.87     (~E(a9,f8(x29271,a7))),
% 181.01/180.87     inference(scs_inference,[],[2903,2697,2323,2902,2880,2887,247,2896,1819,33,29,38,8,10,6,9,7,5,4,27,39,28,2,32,31])).
% 181.01/180.87  cnf(2931,plain,
% 181.01/180.87     (~P3(x29311,f8(x29312,f8(a2,x29313)))),
% 181.01/180.87     inference(rename_variables,[],[247])).
% 181.01/180.87  cnf(2939,plain,
% 181.01/180.87     (P2(f4(a1,a2,x29391),f4(a1,a1,x29391))),
% 181.01/180.87     inference(rename_variables,[],[2650])).
% 181.01/180.87  cnf(2941,plain,
% 181.01/180.87     (P3(f4(a2,x29411,f8(a6,a6)),f8(f8(a6,a6),f8(a6,a6)))),
% 181.01/180.87     inference(scs_inference,[],[2650,2903,2697,2323,854,2902,2880,2887,247,2925,2931,2896,1819,33,29,38,8,10,6,9,7,5,4,27,39,28,2,32,31,35,36,30,40])).
% 181.01/180.87  cnf(2943,plain,
% 181.01/180.87     (P2(f4(a1,a2,f8(x29431,a1)),f4(a1,a1,a2))),
% 181.01/180.87     inference(scs_inference,[],[2650,2939,2903,2697,2323,2324,854,2902,2880,2887,247,2925,2931,2896,1819,33,29,38,8,10,6,9,7,5,4,27,39,28,2,32,31,35,36,30,40,15])).
% 181.01/180.87  cnf(2946,plain,
% 181.01/180.87     (~P2(f8(f8(a5,a9),f8(a5,a9)),f8(x29461,a2))),
% 181.01/180.87     inference(scs_inference,[],[2650,2939,2903,2697,2323,2324,854,2902,2880,2887,247,2925,2931,2896,1819,21,33,29,38,8,10,6,9,7,5,4,27,39,28,2,32,31,35,36,30,40,15,14])).
% 181.01/180.87  cnf(2947,plain,
% 181.01/180.87     (E(f8(x29471,x29471),x29471)),
% 181.01/180.87     inference(rename_variables,[],[21])).
% 181.01/180.87  cnf(2953,plain,
% 181.01/180.87     (~E(a7,f8(a9,a9))),
% 181.01/180.87     inference(scs_inference,[],[1887,2546,2548,2650,2939,2903,2697,2323,2324,2342,854,2902,2880,2265,2887,247,2925,2931,2896,1819,21,2947,33,29,38,8,10,6,9,7,5,4,27,39,28,2,32,31,35,36,30,40,15,14,12,13,3,34])).
% 181.01/180.87  cnf(2958,plain,
% 181.01/180.87     (~P3(f3(f8(a9,a5),f8(a7,a9)),f8(a7,x29581))),
% 181.01/180.87     inference(scs_inference,[],[1821,29,1586])).
% 181.01/180.87  cnf(2959,plain,
% 181.01/180.87     (~P3(f3(f8(a9,a5),f8(a9,a7)),f8(a9,a7))),
% 181.01/180.87     inference(scs_inference,[],[2152,33])).
% 181.01/180.87  cnf(2961,plain,
% 181.01/180.87     (P3(f3(f8(f8(a5,a9),f8(a5,a9)),f8(x29611,a2)),f8(f8(a5,a9),f8(a5,a9)))),
% 181.01/180.87     inference(scs_inference,[],[2946,2152,33,29])).
% 181.01/180.87  cnf(2979,plain,
% 181.01/180.87     (~E(f8(a5,a9),f8(f8(a9,a7),x29791))),
% 181.01/180.87     inference(scs_inference,[],[2953,2904,2919,2906,2341,2946,2879,2941,2152,33,29,38,8,10,6,9,7,5,4,27,39,28,2,32])).
% 181.01/180.87  cnf(2985,plain,
% 181.01/180.87     (~P3(x29851,f8(f8(x29852,a2),x29853))),
% 181.01/180.87     inference(rename_variables,[],[268])).
% 181.01/180.87  cnf(2995,plain,
% 181.01/180.87     (~P2(f8(f8(a5,a9),f8(a5,a9)),f8(x29951,f8(x29952,a2)))),
% 181.01/180.87     inference(scs_inference,[],[2613,2953,2904,2919,2906,2341,2946,2322,2943,2879,2941,268,2985,2152,33,29,38,8,10,6,9,7,5,4,27,39,28,2,32,31,35,36,30,40,15])).
% 181.01/180.87  cnf(2999,plain,
% 181.01/180.87     (~P3(f4(a2,f8(a1,x29991),a1),f4(a2,a1,a2))),
% 181.01/180.87     inference(scs_inference,[],[2594,2613,2953,2904,2919,2906,2341,2946,2322,2943,2879,2941,268,2985,2152,20,33,29,38,8,10,6,9,7,5,4,27,39,28,2,32,31,35,36,30,40,15,14,12])).
% 181.01/180.87  cnf(3028,plain,
% 181.01/180.87     (~P3(x30281,f8(f8(a2,x30282),x30283))),
% 181.01/180.87     inference(rename_variables,[],[245])).
% 181.01/180.87  cnf(3034,plain,
% 181.01/180.87     (~P3(x30341,f8(f8(a2,x30342),x30343))),
% 181.01/180.87     inference(rename_variables,[],[245])).
% 181.01/180.87  cnf(3042,plain,
% 181.01/180.87     (P3(f3(f8(a5,a9),f8(a9,a7)),f8(a9,a9))),
% 181.01/180.87     inference(scs_inference,[],[2618,2927,2959,2369,2999,2881,2882,2995,2961,2885,245,3028,3034,24,33,29,38,8,10,9,6,7,5,4,39,28,2,32,31,35,36,30,40])).
% 181.01/180.87  cnf(3074,plain,
% 181.01/180.87     (E(f8(x30741,x30741),x30741)),
% 181.01/180.87     inference(rename_variables,[],[21])).
% 181.01/180.87  cnf(3076,plain,
% 181.01/180.87     (~P3(x30761,f8(a2,x30762))),
% 181.01/180.87     inference(rename_variables,[],[147])).
% 181.01/180.87  cnf(3085,plain,
% 181.01/180.87     (~P3(f3(f8(a5,a9),f8(a9,a7)),a7)),
% 181.01/180.87     inference(scs_inference,[],[22,47,147,21,1858,2000,128,20,2230,159,2055,2881,1901,92,2880,2904,71,2479,2979,2958,2,28,39,4,38,29,2161,3,13,12,14,15,11,40])).
% 181.01/180.87  cnf(3088,plain,
% 181.01/180.87     (~P3(x30881,f8(a2,x30882))),
% 181.01/180.87     inference(rename_variables,[],[147])).
% 181.01/180.87  cnf(3091,plain,
% 181.01/180.87     (~P3(x30911,a1)),
% 181.01/180.87     inference(rename_variables,[],[41])).
% 181.01/180.87  cnf(3096,plain,
% 181.01/180.87     (~P3(x30961,f8(f8(x30962,f8(a2,x30963)),f8(x30962,f8(a2,x30963))))),
% 181.01/180.87     inference(scs_inference,[],[22,47,147,3076,3088,41,3091,21,3074,1858,2000,128,20,2230,159,2055,2881,1901,92,2880,2904,2243,71,2479,2979,2958,2,28,39,4,38,29,2161,3,13,12,14,15,11,40,30,36,35,31])).
% 181.01/180.87  cnf(3123,plain,
% 181.01/180.87     (E(f8(x31231,x31231),x31231)),
% 181.01/180.87     inference(rename_variables,[],[21])).
% 181.01/180.87  cnf(3125,plain,
% 181.01/180.87     (~P3(x31251,f8(a2,x31252))),
% 181.01/180.87     inference(rename_variables,[],[147])).
% 181.01/180.87  cnf(3128,plain,
% 181.01/180.87     (E(x31281,f8(x31281,x31281))),
% 181.01/180.87     inference(rename_variables,[],[47])).
% 181.01/180.87  cnf(3136,plain,
% 181.01/180.87     (~P3(x31361,f8(a2,x31362))),
% 181.01/180.87     inference(rename_variables,[],[147])).
% 181.01/180.87  cnf(3139,plain,
% 181.01/180.87     (~E(f8(a2,x31391),f8(a9,a5))),
% 181.01/180.87     inference(rename_variables,[],[2258])).
% 181.01/180.87  cnf(3140,plain,
% 181.01/180.87     (~P3(x31401,f8(a2,x31402))),
% 181.01/180.87     inference(rename_variables,[],[147])).
% 181.01/180.87  cnf(3150,plain,
% 181.01/180.87     (P3(f8(f4(a5,a9,a1),f4(a5,a9,a1)),f8(f8(f8(a7,a7),f8(a7,a7)),f8(f8(a7,a7),f8(a7,a7))))),
% 181.01/180.87     inference(scs_inference,[],[47,3128,147,3125,3136,3140,21,3123,1857,159,128,2627,119,2234,97,1901,2904,1971,236,2258,3139,2887,2594,2902,2735,64,2882,2959,2490,2924,2423,2450,2,28,39,4,38,29,2161,3,13,12,14,15,11,40,30,36,35,31,32,34])).
% 181.01/180.87  cnf(3161,plain,
% 181.01/180.87     (~P3(x31611,f8(x31612,f8(x31613,f8(x31614,a1))))),
% 181.01/180.87     inference(scs_inference,[],[2492,71,2882,2,28,39,38])).
% 181.01/180.87  cnf(3382,plain,
% 181.01/180.87     (E(x33821,f8(x33821,x33821))),
% 181.01/180.87     inference(rename_variables,[],[47])).
% 181.01/180.87  cnf(3386,plain,
% 181.01/180.87     (E(f8(f4(a2,a2,a1),f4(a2,a2,a1)),f4(a1,a1,a2))),
% 181.01/180.87     inference(scs_inference,[],[47,21,128,2589,2074,2606,2139,2623,3150,3161,2305,39,29,2,28,38,15,11,3])).
% 181.01/180.87  cnf(3389,plain,
% 181.01/180.87     (E(x33891,f8(x33891,x33891))),
% 181.01/180.87     inference(rename_variables,[],[47])).
% 181.01/180.87  cnf(3396,plain,
% 181.01/180.87     (~E(f8(a9,a5),f8(x33961,a2))),
% 181.01/180.87     inference(rename_variables,[],[2264])).
% 181.01/180.87  cnf(3397,plain,
% 181.01/180.87     (~P3(x33971,f8(a2,x33972))),
% 181.01/180.87     inference(rename_variables,[],[147])).
% 181.01/180.87  cnf(3404,plain,
% 181.01/180.87     (P3(f4(x34041,a2,f8(a9,a5)),f8(a9,a5))),
% 181.01/180.87     inference(scs_inference,[],[47,3382,3389,147,3397,21,66,128,2589,2074,2094,2887,1994,2606,2139,2919,2623,2475,2264,3396,3150,2753,2916,3161,2305,39,29,2,28,38,15,11,3,14,12,32,36,30,31,35])).
% 181.01/180.87  cnf(3428,plain,
% 181.01/180.87     (P1(f8(f8(x34281,a2),x34282))),
% 181.01/180.87     inference(scs_inference,[],[47,21,17,2654,2020,2623,2451,2735,3404,3096,2306,2,39,29,38,28,3,15,11])).
% 181.01/180.87  cnf(5804,plain,
% 181.01/180.87     ($false),
% 181.01/180.87     inference(scs_inference,[],[18,19,21,3386,3085,3428,2644,3042,2884,8,10,6,9,7,5,25,4,13,34,30]),
% 181.01/180.87     ['proof']).
% 181.01/180.87  % SZS output end Proof
% 181.01/180.87  % Total time :180.140000s
%------------------------------------------------------------------------------