TSTP Solution File: SEU132+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SEU132+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n018.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 : Thu Aug 31 16:17:40 EDT 2023

% Result   : Theorem 2.31s 2.42s
% Output   : CNFRefutation 2.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU132+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.16/0.35  % Computer : n018.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit   : 300
% 0.16/0.35  % WCLimit    : 300
% 0.16/0.35  % DateTime   : Wed Aug 23 13:16:26 EDT 2023
% 0.16/0.35  % CPUTime    : 
% 0.21/0.59  start to proof:theBenchmark
% 2.31/2.41  %-------------------------------------------
% 2.31/2.41  % File        :CSE---1.6
% 2.31/2.41  % Problem     :theBenchmark
% 2.31/2.41  % Transform   :cnf
% 2.31/2.41  % Format      :tptp:raw
% 2.31/2.41  % Command     :java -jar mcs_scs.jar %d %s
% 2.31/2.41  
% 2.31/2.41  % Result      :Theorem 1.760000s
% 2.31/2.41  % Output      :CNFRefutation 1.760000s
% 2.31/2.41  %-------------------------------------------
% 2.31/2.42  %------------------------------------------------------------------------------
% 2.31/2.42  % File     : SEU132+1 : TPTP v8.1.2. Released v3.3.0.
% 2.31/2.42  % Domain   : Set theory
% 2.31/2.42  % Problem  : MPTP bushy problem t33_xboole_1
% 2.31/2.42  % Version  : [Urb07] axioms : Especial.
% 2.31/2.42  % English  :
% 2.31/2.42  
% 2.31/2.42  % Refs     : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 2.31/2.42  %          : [Urb07] Urban (2006), Email to G. Sutcliffe
% 2.31/2.42  % Source   : [Urb07]
% 2.31/2.42  % Names    : bushy-t33_xboole_1 [Urb07]
% 2.31/2.42  
% 2.31/2.42  % Status   : Theorem
% 2.31/2.42  % Rating   : 0.31 v8.1.0, 0.25 v7.5.0, 0.28 v7.4.0, 0.20 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.13 v6.4.0, 0.19 v6.3.0, 0.17 v6.2.0, 0.32 v6.1.0, 0.50 v6.0.0, 0.30 v5.5.0, 0.41 v5.4.0, 0.46 v5.3.0, 0.56 v5.2.0, 0.35 v5.1.0, 0.38 v5.0.0, 0.42 v4.1.0, 0.43 v4.0.0, 0.46 v3.7.0, 0.50 v3.5.0, 0.47 v3.4.0, 0.53 v3.3.0
% 2.31/2.42  % Syntax   : Number of formulae    :   15 (   8 unt;   0 def)
% 2.31/2.42  %            Number of atoms       :   26 (   5 equ)
% 2.31/2.42  %            Maximal formula atoms :    4 (   1 avg)
% 2.31/2.42  %            Number of connectives :   17 (   6   ~;   0   |;   4   &)
% 2.31/2.42  %                                         (   3 <=>;   4  =>;   0  <=;   0 <~>)
% 2.31/2.42  %            Maximal formula depth :    9 (   4 avg)
% 2.31/2.42  %            Maximal term depth    :    2 (   1 avg)
% 2.31/2.42  %            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
% 2.31/2.42  %            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
% 2.31/2.42  %            Number of variables   :   23 (  21   !;   2   ?)
% 2.31/2.42  % SPC      : FOF_THM_RFO_SEQ
% 2.31/2.42  
% 2.31/2.42  % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 2.31/2.42  %            library, www.mizar.org
% 2.31/2.42  %------------------------------------------------------------------------------
% 2.31/2.42  fof(antisymmetry_r2_hidden,axiom,
% 2.31/2.42      ! [A,B] :
% 2.31/2.42        ( in(A,B)
% 2.31/2.42       => ~ in(B,A) ) ).
% 2.31/2.42  
% 2.31/2.42  fof(d3_tarski,axiom,
% 2.31/2.42      ! [A,B] :
% 2.31/2.42        ( subset(A,B)
% 2.31/2.42      <=> ! [C] :
% 2.31/2.42            ( in(C,A)
% 2.31/2.42           => in(C,B) ) ) ).
% 2.31/2.42  
% 2.31/2.42  fof(d4_xboole_0,axiom,
% 2.31/2.42      ! [A,B,C] :
% 2.31/2.42        ( C = set_difference(A,B)
% 2.31/2.42      <=> ! [D] :
% 2.31/2.42            ( in(D,C)
% 2.31/2.42          <=> ( in(D,A)
% 2.31/2.42              & ~ in(D,B) ) ) ) ).
% 2.31/2.42  
% 2.31/2.42  fof(dt_k1_xboole_0,axiom,
% 2.31/2.42      $true ).
% 2.31/2.42  
% 2.31/2.42  fof(dt_k4_xboole_0,axiom,
% 2.31/2.42      $true ).
% 2.31/2.42  
% 2.31/2.42  fof(fc1_xboole_0,axiom,
% 2.31/2.42      empty(empty_set) ).
% 2.31/2.42  
% 2.31/2.42  fof(rc1_xboole_0,axiom,
% 2.31/2.42      ? [A] : empty(A) ).
% 2.31/2.42  
% 2.31/2.42  fof(rc2_xboole_0,axiom,
% 2.31/2.42      ? [A] : ~ empty(A) ).
% 2.31/2.42  
% 2.31/2.42  fof(reflexivity_r1_tarski,axiom,
% 2.31/2.42      ! [A,B] : subset(A,A) ).
% 2.31/2.42  
% 2.31/2.42  fof(t33_xboole_1,conjecture,
% 2.31/2.42      ! [A,B,C] :
% 2.31/2.42        ( subset(A,B)
% 2.31/2.42       => subset(set_difference(A,C),set_difference(B,C)) ) ).
% 2.31/2.42  
% 2.31/2.42  fof(t3_boole,axiom,
% 2.31/2.42      ! [A] : set_difference(A,empty_set) = A ).
% 2.31/2.42  
% 2.31/2.42  fof(t4_boole,axiom,
% 2.31/2.42      ! [A] : set_difference(empty_set,A) = empty_set ).
% 2.31/2.42  
% 2.31/2.42  fof(t6_boole,axiom,
% 2.31/2.42      ! [A] :
% 2.31/2.42        ( empty(A)
% 2.31/2.42       => A = empty_set ) ).
% 2.31/2.42  
% 2.31/2.42  fof(t7_boole,axiom,
% 2.31/2.42      ! [A,B] :
% 2.31/2.42        ~ ( in(A,B)
% 2.31/2.42          & empty(B) ) ).
% 2.31/2.42  
% 2.31/2.42  fof(t8_boole,axiom,
% 2.31/2.42      ! [A,B] :
% 2.31/2.42        ~ ( empty(A)
% 2.31/2.42          & A != B
% 2.31/2.42          & empty(B) ) ).
% 2.31/2.42  
% 2.31/2.42  %------------------------------------------------------------------------------
% 2.31/2.42  %-------------------------------------------
% 2.31/2.42  % Proof found
% 2.31/2.42  % SZS status Theorem for theBenchmark
% 2.31/2.42  % SZS output start Proof
% 2.31/2.42  %ClaNum:36(EqnAxiom:15)
% 2.31/2.42  %VarNum:94(SingletonVarNum:38)
% 2.31/2.42  %MaxLitNum:4
% 2.31/2.42  %MaxfuncDepth:1
% 2.31/2.42  %SharedTerms:13
% 2.31/2.42  %goalClause: 18 23
% 2.31/2.42  %singleGoalClaCount:2
% 2.31/2.42  [16]P1(a1)
% 2.31/2.42  [17]P1(a2)
% 2.31/2.42  [18]P2(a5,a7)
% 2.31/2.42  [22]~P1(a6)
% 2.31/2.42  [23]~P2(f8(a5,a9),f8(a7,a9))
% 2.31/2.42  [21]P2(x211,x211)
% 2.31/2.42  [19]E(f8(a1,x191),a1)
% 2.31/2.42  [20]E(f8(x201,a1),x201)
% 2.31/2.42  [24]~P1(x241)+E(x241,a1)
% 2.31/2.42  [26]~P1(x261)+~P3(x262,x261)
% 2.31/2.42  [27]~P3(x272,x271)+~P3(x271,x272)
% 2.31/2.42  [28]P2(x281,x282)+P3(f3(x281,x282),x281)
% 2.31/2.42  [33]P2(x331,x332)+~P3(f3(x331,x332),x332)
% 2.31/2.42  [25]~P1(x252)+~P1(x251)+E(x251,x252)
% 2.31/2.42  [29]~P2(x293,x292)+P3(x291,x292)+~P3(x291,x293)
% 2.31/2.42  [34]P3(f4(x342,x343,x341),x341)+P3(f4(x342,x343,x341),x342)+E(x341,f8(x342,x343))
% 2.31/2.42  [35]P3(f4(x352,x353,x351),x351)+~P3(f4(x352,x353,x351),x353)+E(x351,f8(x352,x353))
% 2.31/2.42  [30]~P3(x301,x303)+P3(x301,x302)+~E(x303,f8(x302,x304))
% 2.31/2.42  [31]~P3(x314,x313)+~P3(x314,x311)+~E(x311,f8(x312,x313))
% 2.31/2.42  [36]P3(f4(x362,x363,x361),x363)+~P3(f4(x362,x363,x361),x361)+~P3(f4(x362,x363,x361),x362)+E(x361,f8(x362,x363))
% 2.31/2.42  [32]~P3(x321,x324)+P3(x321,x322)+P3(x321,x323)+~E(x322,f8(x324,x323))
% 2.31/2.42  %EqnAxiom
% 2.31/2.42  [1]E(x11,x11)
% 2.31/2.42  [2]E(x22,x21)+~E(x21,x22)
% 2.31/2.42  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.31/2.42  [4]~E(x41,x42)+E(f8(x41,x43),f8(x42,x43))
% 2.31/2.42  [5]~E(x51,x52)+E(f8(x53,x51),f8(x53,x52))
% 2.31/2.42  [6]~E(x61,x62)+E(f4(x61,x63,x64),f4(x62,x63,x64))
% 2.31/2.42  [7]~E(x71,x72)+E(f4(x73,x71,x74),f4(x73,x72,x74))
% 2.31/2.42  [8]~E(x81,x82)+E(f4(x83,x84,x81),f4(x83,x84,x82))
% 2.31/2.42  [9]~E(x91,x92)+E(f3(x91,x93),f3(x92,x93))
% 2.31/2.42  [10]~E(x101,x102)+E(f3(x103,x101),f3(x103,x102))
% 2.31/2.42  [11]~P1(x111)+P1(x112)+~E(x111,x112)
% 2.31/2.42  [12]P3(x122,x123)+~E(x121,x122)+~P3(x121,x123)
% 2.31/2.42  [13]P3(x133,x132)+~E(x131,x132)+~P3(x133,x131)
% 2.31/2.42  [14]P2(x142,x143)+~E(x141,x142)+~P2(x141,x143)
% 2.31/2.42  [15]P2(x153,x152)+~E(x151,x152)+~P2(x153,x151)
% 2.31/2.42  
% 2.31/2.42  %-------------------------------------------
% 2.31/2.42  cnf(37,plain,
% 2.31/2.42     (E(x371,f8(x371,a1))),
% 2.31/2.42     inference(scs_inference,[],[20,2])).
% 2.31/2.42  cnf(38,plain,
% 2.31/2.42     (~P3(x381,a1)),
% 2.31/2.42     inference(scs_inference,[],[16,20,2,26])).
% 2.31/2.42  cnf(40,plain,
% 2.31/2.42     (P2(a1,x401)),
% 2.31/2.42     inference(scs_inference,[],[16,20,2,26,28])).
% 2.31/2.42  cnf(42,plain,
% 2.31/2.43     (P2(a5,f8(a7,a1))),
% 2.31/2.43     inference(scs_inference,[],[18,16,20,2,26,28,15])).
% 2.31/2.43  cnf(43,plain,
% 2.31/2.43     (~E(f8(a7,a9),f8(a5,a9))),
% 2.31/2.43     inference(scs_inference,[],[18,21,16,23,20,2,26,28,15,14])).
% 2.31/2.43  cnf(45,plain,
% 2.31/2.43     (E(a2,a1)),
% 2.31/2.43     inference(scs_inference,[],[18,21,16,17,23,20,2,26,28,15,14,24])).
% 2.31/2.43  cnf(48,plain,
% 2.31/2.43     (E(f8(x481,a1),x481)),
% 2.31/2.43     inference(rename_variables,[],[20])).
% 2.31/2.43  cnf(49,plain,
% 2.31/2.43     (E(f3(f8(x491,a1),x492),f3(x491,x492))),
% 2.31/2.43     inference(scs_inference,[],[18,21,16,17,23,20,48,2,26,28,15,14,24,10,9])).
% 2.31/2.43  cnf(50,plain,
% 2.31/2.43     (E(f4(x501,x502,f8(x503,a1)),f4(x501,x502,x503))),
% 2.31/2.43     inference(scs_inference,[],[18,21,16,17,23,20,48,2,26,28,15,14,24,10,9,8])).
% 2.31/2.43  cnf(51,plain,
% 2.31/2.43     (E(f4(x511,f8(x512,a1),x513),f4(x511,x512,x513))),
% 2.31/2.43     inference(scs_inference,[],[18,21,16,17,23,20,48,2,26,28,15,14,24,10,9,8,7])).
% 2.31/2.43  cnf(52,plain,
% 2.31/2.43     (E(f4(f8(x521,a1),x522,x523),f4(x521,x522,x523))),
% 2.31/2.43     inference(scs_inference,[],[18,21,16,17,23,20,48,2,26,28,15,14,24,10,9,8,7,6])).
% 2.31/2.43  cnf(53,plain,
% 2.31/2.43     (E(f8(x531,f8(x532,a1)),f8(x531,x532))),
% 2.31/2.43     inference(scs_inference,[],[18,21,16,17,23,20,48,2,26,28,15,14,24,10,9,8,7,6,5])).
% 2.31/2.43  cnf(54,plain,
% 2.31/2.43     (E(f8(f8(x541,a1),x542),f8(x541,x542))),
% 2.31/2.43     inference(scs_inference,[],[18,21,16,17,23,20,48,2,26,28,15,14,24,10,9,8,7,6,5,4])).
% 2.31/2.43  cnf(55,plain,
% 2.31/2.43     (~P3(f3(f8(a5,a9),f8(a7,a9)),f8(a7,a9))),
% 2.31/2.43     inference(scs_inference,[],[18,21,16,17,23,20,48,2,26,28,15,14,24,10,9,8,7,6,5,4,33])).
% 2.31/2.43  cnf(57,plain,
% 2.31/2.43     (~P3(f3(a1,x571),f8(a1,a1))),
% 2.31/2.43     inference(scs_inference,[],[18,21,16,17,23,20,48,2,26,28,15,14,24,10,9,8,7,6,5,4,33,13])).
% 2.31/2.43  cnf(58,plain,
% 2.31/2.43     (E(f8(x581,a1),x581)),
% 2.31/2.43     inference(rename_variables,[],[20])).
% 2.31/2.43  cnf(59,plain,
% 2.31/2.43     (~P3(f8(f3(a1,x591),a1),f8(a1,a1))),
% 2.31/2.43     inference(scs_inference,[],[18,21,16,17,23,20,48,58,2,26,28,15,14,24,10,9,8,7,6,5,4,33,13,12])).
% 2.31/2.43  cnf(60,plain,
% 2.31/2.43     (E(f8(x601,a1),x601)),
% 2.31/2.43     inference(rename_variables,[],[20])).
% 2.31/2.43  cnf(62,plain,
% 2.31/2.43     (~E(f8(a7,a9),f8(f8(a5,a9),a1))),
% 2.31/2.43     inference(scs_inference,[],[18,21,16,17,22,23,20,48,58,60,2,26,28,15,14,24,10,9,8,7,6,5,4,33,13,12,11,3])).
% 2.31/2.43  cnf(64,plain,
% 2.31/2.43     (~P3(x641,a5)+P3(x641,a7)),
% 2.31/2.43     inference(scs_inference,[],[18,21,16,17,22,23,20,48,58,60,2,26,28,15,14,24,10,9,8,7,6,5,4,33,13,12,11,3,29])).
% 2.31/2.43  cnf(66,plain,
% 2.31/2.43     (~P3(x661,a5)+~E(a7,f8(x662,a7))),
% 2.31/2.43     inference(scs_inference,[],[18,21,16,17,22,23,20,48,58,60,2,26,28,15,14,24,10,9,8,7,6,5,4,33,13,12,11,3,29,31])).
% 2.31/2.43  cnf(74,plain,
% 2.31/2.43     (P3(f3(f8(a5,a9),f8(a7,a9)),f8(a5,a9))),
% 2.31/2.43     inference(scs_inference,[],[23,28])).
% 2.31/2.43  cnf(76,plain,
% 2.31/2.43     (~P2(f8(a5,a9),a1)),
% 2.31/2.43     inference(scs_inference,[],[23,38,28,29])).
% 2.31/2.43  cnf(77,plain,
% 2.31/2.43     (~P3(x771,a1)),
% 2.31/2.43     inference(rename_variables,[],[38])).
% 2.31/2.43  cnf(82,plain,
% 2.31/2.43     (~P1(f8(a5,a9))),
% 2.31/2.43     inference(scs_inference,[],[23,62,38,28,29,2,27,26])).
% 2.31/2.43  cnf(88,plain,
% 2.31/2.43     (E(f8(x881,f8(x882,a1)),f8(x881,x882))),
% 2.31/2.43     inference(rename_variables,[],[53])).
% 2.31/2.43  cnf(90,plain,
% 2.31/2.43     (~E(f8(a7,a9),f8(f8(a5,a9),f8(a7,a9)))),
% 2.31/2.43     inference(scs_inference,[],[19,22,23,20,53,37,55,57,62,38,28,29,2,27,26,11,3,30,32])).
% 2.31/2.43  cnf(93,plain,
% 2.31/2.43     (E(f8(x931,f8(x932,a1)),f8(x931,x932))),
% 2.31/2.43     inference(rename_variables,[],[53])).
% 2.31/2.43  cnf(95,plain,
% 2.31/2.43     (~P2(f8(a5,a9),f8(a7,f8(a9,a1)))),
% 2.31/2.43     inference(scs_inference,[],[19,22,23,20,53,88,93,37,59,55,57,62,38,43,28,29,2,27,26,11,3,30,32,12,4,15])).
% 2.31/2.43  cnf(96,plain,
% 2.31/2.43     (E(f8(x961,f8(x962,a1)),f8(x961,x962))),
% 2.31/2.43     inference(rename_variables,[],[53])).
% 2.31/2.43  cnf(97,plain,
% 2.31/2.43     (~P2(f8(a5,f8(a9,a1)),f8(a7,a9))),
% 2.31/2.43     inference(scs_inference,[],[19,22,23,20,53,88,93,96,37,59,55,57,62,38,43,28,29,2,27,26,11,3,30,32,12,4,15,14])).
% 2.31/2.43  cnf(99,plain,
% 2.31/2.43     (~P3(x991,f8(a1,x992))),
% 2.31/2.43     inference(scs_inference,[],[19,22,23,20,53,88,93,96,37,59,55,57,62,38,77,43,28,29,2,27,26,11,3,30,32,12,4,15,14,13])).
% 2.31/2.43  cnf(100,plain,
% 2.31/2.43     (E(a1,f8(a1,x1001))),
% 2.31/2.43     inference(scs_inference,[],[19,22,23,20,53,88,93,96,37,59,55,57,62,38,77,43,28,29,2,27,26,11,3,30,32,12,4,15,14,13,34])).
% 2.31/2.43  cnf(102,plain,
% 2.31/2.43     (~P3(x1021,a1)),
% 2.31/2.43     inference(rename_variables,[],[38])).
% 2.31/2.43  cnf(105,plain,
% 2.31/2.43     (~P3(x1051,a1)),
% 2.31/2.43     inference(rename_variables,[],[38])).
% 2.31/2.43  cnf(107,plain,
% 2.31/2.43     (E(a1,f8(x1071,x1072))+~P3(f4(x1071,x1072,a1),x1072)),
% 2.31/2.43     inference(scs_inference,[],[19,22,23,20,53,88,93,96,37,59,55,57,62,38,77,102,105,43,28,29,2,27,26,11,3,30,32,12,4,15,14,13,34,36,35])).
% 2.31/2.43  cnf(110,plain,
% 2.31/2.43     (P2(f8(a1,x1101),x1102)),
% 2.31/2.43     inference(scs_inference,[],[99,28])).
% 2.31/2.43  cnf(111,plain,
% 2.31/2.43     (~P3(x1111,f8(a1,x1112))),
% 2.31/2.43     inference(rename_variables,[],[99])).
% 2.31/2.43  cnf(115,plain,
% 2.31/2.43     (~P3(x1151,f8(a1,x1152))),
% 2.31/2.43     inference(rename_variables,[],[99])).
% 2.31/2.43  cnf(117,plain,
% 2.31/2.43     (E(f4(x1171,x1172,x1173),f4(x1171,x1172,f8(x1173,a1)))),
% 2.31/2.43     inference(scs_inference,[],[50,99,111,28,34,2])).
% 2.31/2.43  cnf(118,plain,
% 2.31/2.43     (~P3(x1181,f8(f8(a1,x1182),f8(x1183,a1)))),
% 2.31/2.43     inference(scs_inference,[],[50,99,111,115,53,28,34,2,30])).
% 2.31/2.43  cnf(121,plain,
% 2.31/2.43     (~E(f8(a5,a9),f8(a1,x1211))),
% 2.31/2.43     inference(scs_inference,[],[50,99,111,115,74,53,28,34,2,30,13])).
% 2.31/2.43  cnf(123,plain,
% 2.31/2.43     (P1(f8(a2,a1))),
% 2.31/2.43     inference(scs_inference,[],[37,17,50,99,111,115,74,53,28,34,2,30,13,11])).
% 2.31/2.43  cnf(124,plain,
% 2.31/2.43     (E(x1241,f8(x1241,a1))),
% 2.31/2.43     inference(rename_variables,[],[37])).
% 2.31/2.43  cnf(127,plain,
% 2.31/2.43     (E(f8(x1271,x1272),f8(f8(x1271,a1),x1272))),
% 2.31/2.43     inference(scs_inference,[],[37,124,17,50,99,111,115,74,100,53,28,34,2,30,13,11,3,4])).
% 2.31/2.43  cnf(128,plain,
% 2.31/2.43     (P2(x1281,f8(x1281,a1))),
% 2.31/2.43     inference(scs_inference,[],[21,37,124,17,50,99,111,115,74,100,53,28,34,2,30,13,11,3,4,15])).
% 2.31/2.43  cnf(129,plain,
% 2.31/2.43     (E(x1291,f8(x1291,a1))),
% 2.31/2.43     inference(rename_variables,[],[37])).
% 2.31/2.43  cnf(130,plain,
% 2.31/2.43     (P2(f8(x1301,a1),x1301)),
% 2.31/2.43     inference(scs_inference,[],[21,37,124,129,17,50,99,111,115,74,100,53,28,34,2,30,13,11,3,4,15,14])).
% 2.31/2.43  cnf(132,plain,
% 2.31/2.43     (~P3(x1321,a2)),
% 2.31/2.43     inference(scs_inference,[],[21,37,124,129,17,50,99,111,115,74,100,53,28,34,2,30,13,11,3,4,15,14,26])).
% 2.31/2.43  cnf(136,plain,
% 2.31/2.43     (~P3(f3(f8(a5,a9),f8(a7,a9)),a9)+P3(f4(f8(a5,a9),f8(a7,a9),f8(a7,a9)),f8(a7,a9))),
% 2.31/2.43     inference(scs_inference,[],[21,37,124,129,17,50,99,111,115,74,90,100,53,28,34,2,30,13,11,3,4,15,14,26,35,31])).
% 2.31/2.43  cnf(143,plain,
% 2.31/2.43     (~E(f8(a5,a9),f8(x1431,f8(a5,a9)))),
% 2.31/2.43     inference(scs_inference,[],[76,74,28,31])).
% 2.31/2.43  cnf(147,plain,
% 2.31/2.43     (P3(f4(a1,x1471,f8(a5,a9)),f8(a5,a9))),
% 2.31/2.43     inference(scs_inference,[],[121,76,38,74,28,31,27,34])).
% 2.31/2.43  cnf(150,plain,
% 2.31/2.43     (~E(f8(a1,x1501),f8(a5,a9))),
% 2.31/2.43     inference(scs_inference,[],[121,76,38,74,28,31,27,34,2])).
% 2.31/2.43  cnf(153,plain,
% 2.31/2.43     (~P3(x1531,f8(a2,a1))),
% 2.31/2.43     inference(scs_inference,[],[23,20,130,121,132,76,38,74,28,31,27,34,2,14,13])).
% 2.31/2.43  cnf(155,plain,
% 2.31/2.43     (~E(a2,a6)),
% 2.31/2.43     inference(scs_inference,[],[23,22,17,20,130,121,132,76,38,74,28,31,27,34,2,14,13,11])).
% 2.31/2.43  cnf(156,plain,
% 2.31/2.43     (~E(f8(f8(a5,a9),a1),f8(a1,x1561))),
% 2.31/2.43     inference(scs_inference,[],[23,37,22,17,20,130,121,132,76,38,74,28,31,27,34,2,14,13,11,3])).
% 2.31/2.43  cnf(157,plain,
% 2.31/2.43     (E(x1571,f8(x1571,a1))),
% 2.31/2.43     inference(rename_variables,[],[37])).
% 2.31/2.43  cnf(160,plain,
% 2.31/2.43     (~E(f8(a5,a9),f8(a7,a9))),
% 2.31/2.43     inference(scs_inference,[],[23,37,22,21,17,20,130,121,132,76,38,74,28,31,27,34,2,14,13,11,3,4,15])).
% 2.31/2.43  cnf(162,plain,
% 2.31/2.43     (~P1(a5)),
% 2.31/2.43     inference(scs_inference,[],[23,37,22,21,17,20,130,121,132,76,38,74,28,31,27,34,2,14,13,11,3,4,15,24])).
% 2.31/2.43  cnf(164,plain,
% 2.31/2.43     (~E(a9,f8(a5,a9))),
% 2.31/2.43     inference(scs_inference,[],[23,37,22,21,17,20,130,121,132,76,38,74,28,31,27,34,2,14,13,11,3,4,15,24,5])).
% 2.31/2.43  cnf(165,plain,
% 2.31/2.43     (~P3(x1651,a5)+P3(x1651,f8(a7,a1))),
% 2.31/2.43     inference(scs_inference,[],[23,37,22,21,17,20,130,121,132,42,76,38,74,28,31,27,34,2,14,13,11,3,4,15,24,5,29])).
% 2.31/2.43  cnf(167,plain,
% 2.31/2.43     (~P3(x1671,a5)+P3(f8(x1671,a1),f8(a7,a1))),
% 2.31/2.43     inference(scs_inference,[],[23,37,157,22,21,17,20,130,121,132,42,76,38,74,28,31,27,34,2,14,13,11,3,4,15,24,5,29,12])).
% 2.31/2.43  cnf(168,plain,
% 2.31/2.43     (~P3(x1681,a5)+~P1(f8(a7,a1))),
% 2.31/2.43     inference(scs_inference,[],[23,37,157,22,21,17,20,130,121,132,42,76,38,74,28,31,27,34,2,14,13,11,3,4,15,24,5,29,12,26])).
% 2.31/2.43  cnf(170,plain,
% 2.31/2.43     (~P3(x1701,a5)+P3(f3(f8(a5,a9),f8(a7,a9)),f8(a5,a1))),
% 2.31/2.43     inference(scs_inference,[],[23,37,157,22,21,17,20,127,130,121,132,42,76,38,74,28,31,27,34,2,14,13,11,3,4,15,24,5,29,12,26,30])).
% 2.31/2.43  cnf(174,plain,
% 2.31/2.43     (~P3(x1741,f8(a2,a1))),
% 2.31/2.43     inference(rename_variables,[],[153])).
% 2.31/2.43  cnf(176,plain,
% 2.31/2.43     (E(f8(a2,a1),a1)),
% 2.31/2.43     inference(scs_inference,[],[153,123,28,24])).
% 2.31/2.43  cnf(178,plain,
% 2.31/2.43     (~P3(f8(a5,a9),f4(a1,x1781,f8(a5,a9)))),
% 2.31/2.43     inference(scs_inference,[],[153,147,123,28,24,27])).
% 2.31/2.43  cnf(180,plain,
% 2.31/2.43     (~P2(f8(a5,a9),f8(f8(a1,x1801),f8(x1802,a1)))),
% 2.31/2.43     inference(scs_inference,[],[118,153,147,123,28,24,27,29])).
% 2.31/2.43  cnf(183,plain,
% 2.31/2.43     (E(f8(x1831,f8(a1,x1832)),f8(x1831,a1))),
% 2.31/2.43     inference(scs_inference,[],[19,118,153,147,123,28,24,27,29,5])).
% 2.31/2.43  cnf(184,plain,
% 2.31/2.43     (E(f8(a2,a1),f8(a1,x1841))),
% 2.31/2.43     inference(scs_inference,[],[19,38,118,153,174,147,123,28,24,27,29,5,34])).
% 2.31/2.43  cnf(185,plain,
% 2.31/2.43     (~P3(x1851,f8(a2,a1))),
% 2.31/2.43     inference(rename_variables,[],[153])).
% 2.31/2.43  cnf(188,plain,
% 2.31/2.43     (E(f4(x1881,x1882,x1883),f4(x1881,f8(x1882,a1),x1883))),
% 2.31/2.43     inference(scs_inference,[],[19,38,51,118,153,174,147,123,28,24,27,29,5,34,2])).
% 2.31/2.43  cnf(189,plain,
% 2.31/2.43     (E(f8(f8(a1,x1891),x1892),f8(a1,x1892))),
% 2.31/2.43     inference(scs_inference,[],[19,38,51,118,153,174,147,123,28,24,27,29,5,34,2,4])).
% 2.31/2.43  cnf(192,plain,
% 2.31/2.43     (~P1(f8(f8(a5,a9),a1))),
% 2.31/2.43     inference(scs_inference,[],[19,38,20,51,52,118,153,174,147,82,123,28,24,27,29,5,34,2,4,13,11])).
% 2.31/2.43  cnf(193,plain,
% 2.31/2.43     (~P2(f8(f8(a5,a1),f8(a9,a1)),f8(a7,a9))),
% 2.31/2.43     inference(scs_inference,[],[19,38,20,51,52,54,118,153,174,147,97,82,123,28,24,27,29,5,34,2,4,13,11,14])).
% 2.31/2.43  cnf(194,plain,
% 2.31/2.43     (E(f8(f8(x1941,a1),x1942),f8(x1941,x1942))),
% 2.31/2.43     inference(rename_variables,[],[54])).
% 2.31/2.43  cnf(195,plain,
% 2.31/2.43     (E(f8(f8(a1,a1),x1951),a1)),
% 2.31/2.43     inference(scs_inference,[],[19,38,20,51,52,54,194,118,153,174,147,97,82,123,28,24,27,29,5,34,2,4,13,11,14,3])).
% 2.31/2.43  cnf(196,plain,
% 2.31/2.43     (E(f8(f8(x1961,a1),x1962),f8(x1961,x1962))),
% 2.31/2.43     inference(rename_variables,[],[54])).
% 2.31/2.43  cnf(197,plain,
% 2.31/2.43     (~P2(f8(a5,a9),f8(f8(a7,a1),f8(a9,a1)))),
% 2.31/2.43     inference(scs_inference,[],[19,38,20,51,52,54,194,196,118,153,174,147,97,95,82,123,28,24,27,29,5,34,2,4,13,11,14,3,15])).
% 2.31/2.43  cnf(199,plain,
% 2.31/2.43     (E(f4(x1991,f8(a1,x1992),x1993),f4(x1991,a1,x1993))),
% 2.31/2.43     inference(scs_inference,[],[19,38,20,51,52,54,194,196,118,153,174,147,97,95,82,123,28,24,27,29,5,34,2,4,13,11,14,3,15,7])).
% 2.31/2.43  cnf(200,plain,
% 2.31/2.43     (E(f3(x2001,f8(a1,x2002)),f3(x2001,a1))),
% 2.31/2.43     inference(scs_inference,[],[19,38,20,51,52,54,194,196,118,153,174,147,97,95,82,123,28,24,27,29,5,34,2,4,13,11,14,3,15,7,10])).
% 2.31/2.43  cnf(202,plain,
% 2.31/2.43     (E(f4(x2021,x2022,f8(a1,x2023)),f4(x2021,x2022,a1))),
% 2.31/2.43     inference(scs_inference,[],[19,38,20,51,52,54,194,196,118,153,174,147,97,95,82,123,28,24,27,29,5,34,2,4,13,11,14,3,15,7,10,9,8])).
% 2.31/2.43  cnf(203,plain,
% 2.31/2.43     (E(f4(f8(a1,x2031),x2032,x2033),f4(a1,x2032,x2033))),
% 2.31/2.43     inference(scs_inference,[],[19,38,20,51,52,54,194,196,118,153,174,147,97,95,82,123,28,24,27,29,5,34,2,4,13,11,14,3,15,7,10,9,8,6])).
% 2.31/2.43  cnf(204,plain,
% 2.31/2.43     (~E(f8(a5,a9),f8(f8(a2,a1),x2041))),
% 2.31/2.43     inference(scs_inference,[],[19,38,20,51,52,54,194,196,118,153,174,185,147,97,95,82,123,28,24,27,29,5,34,2,4,13,11,14,3,15,7,10,9,8,6,30])).
% 2.31/2.43  cnf(211,plain,
% 2.31/2.43     (~E(f8(a1,x2111),f8(f8(a5,a9),a1))),
% 2.31/2.43     inference(scs_inference,[],[156,143,99,34,2])).
% 2.31/2.43  cnf(212,plain,
% 2.31/2.43     (P1(f8(a1,a1))),
% 2.31/2.43     inference(scs_inference,[],[16,37,156,143,99,34,2,11])).
% 2.31/2.43  cnf(213,plain,
% 2.31/2.43     (E(x2131,f8(x2131,a1))),
% 2.31/2.43     inference(rename_variables,[],[37])).
% 2.31/2.43  cnf(216,plain,
% 2.31/2.43     (P2(f4(x2161,x2162,f8(x2163,a1)),f4(x2161,x2162,x2163))),
% 2.31/2.43     inference(scs_inference,[],[16,37,21,117,156,204,143,99,34,2,11,4,14])).
% 2.31/2.43  cnf(217,plain,
% 2.31/2.43     (P2(x2171,x2171)),
% 2.31/2.43     inference(rename_variables,[],[21])).
% 2.31/2.43  cnf(218,plain,
% 2.31/2.43     (~E(f8(f8(a5,a9),a1),a1)),
% 2.31/2.43     inference(scs_inference,[],[16,37,213,21,117,156,204,143,99,34,2,11,4,14,3])).
% 2.31/2.43  cnf(221,plain,
% 2.31/2.43     (P2(f4(x2211,x2212,x2213),f4(x2211,x2212,f8(x2213,a1)))),
% 2.31/2.43     inference(scs_inference,[],[16,37,213,21,217,117,156,204,143,99,34,2,11,4,14,3,15])).
% 2.31/2.43  cnf(225,plain,
% 2.31/2.43     (E(f8(x2251,x2252),f8(x2251,f8(x2252,a1)))),
% 2.31/2.43     inference(scs_inference,[],[37,5])).
% 2.31/2.43  cnf(226,plain,
% 2.31/2.43     (P3(f4(f8(a5,a9),a1,f8(a1,x2261)),f8(a5,a9))),
% 2.31/2.43     inference(scs_inference,[],[37,211,99,5,34])).
% 2.31/2.43  cnf(230,plain,
% 2.31/2.43     (~E(f8(a1,a1),a6)),
% 2.31/2.43     inference(scs_inference,[],[22,37,212,211,99,5,34,11])).
% 2.31/2.43  cnf(231,plain,
% 2.31/2.43     (E(f3(x2311,x2312),f3(f8(x2311,a1),x2312))),
% 2.31/2.43     inference(scs_inference,[],[22,37,212,49,211,99,5,34,11,2])).
% 2.31/2.43  cnf(232,plain,
% 2.31/2.43     (E(f8(a2,x2321),f8(a1,x2321))),
% 2.31/2.43     inference(scs_inference,[],[22,37,212,49,211,45,99,5,34,11,2,4])).
% 2.31/2.43  cnf(233,plain,
% 2.31/2.43     (~E(f8(a9,a1),f8(a5,a9))),
% 2.31/2.43     inference(scs_inference,[],[22,37,212,49,164,211,45,99,5,34,11,2,4,3])).
% 2.31/2.43  cnf(235,plain,
% 2.31/2.43     (~E(a1,f8(a5,a9))),
% 2.31/2.43     inference(scs_inference,[],[40,22,37,212,49,164,211,197,45,99,5,34,11,2,4,3,14])).
% 2.31/2.43  cnf(237,plain,
% 2.31/2.43     (~E(f8(a5,a9),f8(f8(a7,a1),f8(a9,a1)))),
% 2.31/2.43     inference(scs_inference,[],[40,22,37,21,212,49,164,211,197,45,99,5,34,11,2,4,3,14,15])).
% 2.31/2.43  cnf(239,plain,
% 2.31/2.43     (~P3(f4(a5,a9,a1),a9)),
% 2.31/2.43     inference(scs_inference,[],[40,22,38,37,21,212,49,164,211,197,45,99,5,34,11,2,4,3,14,15,35])).
% 2.31/2.43  cnf(244,plain,
% 2.31/2.43     (~P3(f4(a5,a9,a1),x2441)+P3(f4(a5,a9,a1),f8(f8(x2441,a9),a1))),
% 2.31/2.43     inference(scs_inference,[],[40,22,38,37,21,20,212,49,164,211,197,45,99,5,34,11,2,4,3,14,15,35,27,32])).
% 2.31/2.43  cnf(245,plain,
% 2.31/2.43     (E(f8(x2451,a1),x2451)),
% 2.31/2.43     inference(rename_variables,[],[20])).
% 2.31/2.43  cnf(247,plain,
% 2.31/2.43     (~P3(f8(f4(a5,a9,a1),a1),a9)),
% 2.31/2.43     inference(scs_inference,[],[40,22,38,37,21,20,245,212,49,164,211,197,45,99,5,34,11,2,4,3,14,15,35,27,32,12])).
% 2.31/2.43  cnf(249,plain,
% 2.31/2.43     (~P3(f4(f8(a5,a9),a1,f8(a1,x2491)),f8(a9,a1))),
% 2.31/2.43     inference(scs_inference,[],[225,226,31])).
% 2.31/2.43  cnf(250,plain,
% 2.31/2.43     (E(f8(x2501,x2502),f8(x2501,f8(x2502,a1)))),
% 2.31/2.43     inference(rename_variables,[],[225])).
% 2.31/2.43  cnf(252,plain,
% 2.31/2.43     (P3(f4(f8(a5,a9),f8(a1,a1),f8(a1,x2521)),f8(a5,a9))),
% 2.31/2.43     inference(scs_inference,[],[188,225,226,31,12])).
% 2.31/2.43  cnf(258,plain,
% 2.31/2.43     (~P1(f8(a5,a1))),
% 2.31/2.43     inference(scs_inference,[],[38,20,188,225,226,162,153,31,12,34,11])).
% 2.31/2.43  cnf(259,plain,
% 2.31/2.43     (~E(a1,f8(f8(a5,a9),a1))),
% 2.31/2.43     inference(scs_inference,[],[38,20,188,225,218,226,162,153,31,12,34,11,2])).
% 2.31/2.43  cnf(260,plain,
% 2.31/2.43     (~E(a1,a5)),
% 2.31/2.43     inference(scs_inference,[],[38,20,188,225,218,150,226,162,153,31,12,34,11,2,4])).
% 2.31/2.43  cnf(262,plain,
% 2.31/2.43     (~P2(f8(f8(a5,a1),a9),f8(a7,a9))),
% 2.31/2.43     inference(scs_inference,[],[38,20,188,225,250,218,193,150,226,162,153,31,12,34,11,2,4,14])).
% 2.31/2.43  cnf(263,plain,
% 2.31/2.43     (E(f8(x2631,x2632),f8(x2631,f8(x2632,a1)))),
% 2.31/2.43     inference(rename_variables,[],[225])).
% 2.31/2.43  cnf(266,plain,
% 2.31/2.43     (~P2(f8(a5,a9),f8(f8(a1,x2661),x2662))),
% 2.31/2.43     inference(scs_inference,[],[38,37,20,188,225,250,263,184,218,193,180,150,226,162,153,31,12,34,11,2,4,14,3,15])).
% 2.31/2.43  cnf(271,plain,
% 2.31/2.43     (~P3(f8(a5,a9),f4(f8(a5,a9),f8(a1,a1),f8(a1,x2711)))),
% 2.31/2.43     inference(scs_inference,[],[38,37,20,188,225,250,263,184,218,237,193,180,150,226,162,153,31,12,34,11,2,4,14,3,15,35,27])).
% 2.31/2.43  cnf(273,plain,
% 2.31/2.43     (~P3(f3(f8(a5,a9),f8(a7,a9)),f8(a7,a1))+P3(f3(f8(a5,a9),f8(a7,a9)),a9)),
% 2.31/2.43     inference(scs_inference,[],[38,37,20,188,225,250,263,184,218,237,193,180,150,226,162,55,127,153,31,12,34,11,2,4,14,3,15,35,27,32])).
% 2.31/2.43  cnf(281,plain,
% 2.31/2.43     (E(f8(x2811,a1),x2811)),
% 2.31/2.43     inference(rename_variables,[],[20])).
% 2.31/2.43  cnf(283,plain,
% 2.31/2.43     (P3(f4(a5,a9,a1),a5)),
% 2.31/2.43     inference(scs_inference,[],[38,20,221,271,235,29,30,34])).
% 2.31/2.43  cnf(286,plain,
% 2.31/2.43     (P3(f8(f4(a5,a9,a1),a1),a5)),
% 2.31/2.43     inference(scs_inference,[],[38,37,20,221,271,235,29,30,34,12])).
% 2.31/2.43  cnf(287,plain,
% 2.31/2.43     (E(x2871,f8(x2871,a1))),
% 2.31/2.43     inference(rename_variables,[],[37])).
% 2.31/2.43  cnf(288,plain,
% 2.31/2.43     (P1(f8(f8(a2,a1),a1))),
% 2.31/2.43     inference(scs_inference,[],[38,37,287,20,221,271,235,123,29,30,34,12,11])).
% 2.31/2.43  cnf(289,plain,
% 2.31/2.43     (E(x2891,f8(x2891,a1))),
% 2.31/2.43     inference(rename_variables,[],[37])).
% 2.31/2.43  cnf(290,plain,
% 2.31/2.43     (E(a1,f8(a2,a1))),
% 2.31/2.43     inference(scs_inference,[],[38,37,287,20,221,176,271,235,123,29,30,34,12,11,2])).
% 2.31/2.43  cnf(291,plain,
% 2.31/2.43     (E(f8(f8(a2,a1),x2911),f8(a1,x2911))),
% 2.31/2.43     inference(scs_inference,[],[38,37,287,20,221,176,271,235,123,29,30,34,12,11,2,4])).
% 2.31/2.43  cnf(294,plain,
% 2.31/2.43     (~E(f8(a9,a1),f8(f8(a5,a9),a1))),
% 2.31/2.43     inference(scs_inference,[],[38,21,37,287,20,281,221,231,176,233,271,235,123,29,30,34,12,11,2,4,14,3])).
% 2.31/2.43  cnf(296,plain,
% 2.31/2.43     (E(f4(x2961,f8(a2,a1),x2962),f4(x2961,a1,x2962))),
% 2.31/2.43     inference(scs_inference,[],[38,21,37,287,20,281,221,231,176,233,271,235,123,29,30,34,12,11,2,4,14,3,7])).
% 2.31/2.43  cnf(298,plain,
% 2.31/2.43     (E(f4(x2981,x2982,f8(a2,a1)),f4(x2981,x2982,a1))),
% 2.31/2.43     inference(scs_inference,[],[38,21,37,287,20,281,221,231,176,233,271,235,123,29,30,34,12,11,2,4,14,3,7,9,8])).
% 2.31/2.43  cnf(299,plain,
% 2.31/2.43     (E(f4(x2991,x2992,x2993),f4(f8(x2991,a1),x2992,x2993))),
% 2.31/2.43     inference(scs_inference,[],[38,21,37,287,289,20,281,221,231,176,233,271,235,123,29,30,34,12,11,2,4,14,3,7,9,8,6])).
% 2.31/2.43  cnf(303,plain,
% 2.31/2.43     (E(f3(x3031,x3032),f3(x3031,f8(x3032,a1)))),
% 2.31/2.43     inference(scs_inference,[],[38,21,37,287,289,20,281,221,231,176,233,271,235,132,123,29,30,34,12,11,2,4,14,3,7,9,8,6,28,10])).
% 2.31/2.43  cnf(306,plain,
% 2.31/2.43     (~E(f8(a9,a1),f8(f8(a5,a9),f8(a9,a1)))),
% 2.31/2.43     inference(scs_inference,[],[38,21,37,287,289,20,281,221,231,176,249,233,271,235,132,123,226,29,30,34,12,11,2,4,14,3,7,9,8,6,28,10,31,32])).
% 2.31/2.43  cnf(307,plain,
% 2.31/2.43     (~P3(f4(f8(a5,a9),a1,f8(a1,x3071)),f8(a9,a1))),
% 2.31/2.43     inference(rename_variables,[],[249])).
% 2.31/2.43  cnf(309,plain,
% 2.31/2.43     (~P3(a5,f4(a5,a9,a1))),
% 2.31/2.43     inference(scs_inference,[],[38,21,37,287,289,20,281,221,231,176,249,233,271,235,132,123,226,29,30,34,12,11,2,4,14,3,7,9,8,6,28,10,31,32,27])).
% 2.31/2.43  cnf(313,plain,
% 2.31/2.43     (P3(f4(a5,a9,a1),f8(f8(a5,a9),a1))),
% 2.31/2.43     inference(scs_inference,[],[38,21,37,287,289,20,281,221,231,176,249,307,233,271,235,132,123,226,29,30,34,12,11,2,4,14,3,7,9,8,6,28,10,31,32,27,13,244])).
% 2.31/2.43  cnf(315,plain,
% 2.31/2.43     (P3(f3(f8(a5,a9),f8(a7,a9)),f8(a5,a1))),
% 2.31/2.43     inference(scs_inference,[],[38,21,37,287,289,20,281,221,231,176,249,307,233,271,235,132,123,226,29,30,34,12,11,2,4,14,3,7,9,8,6,28,10,31,32,27,13,244,170])).
% 2.31/2.43  cnf(319,plain,
% 2.31/2.43     (P3(f8(f4(a5,a9,a1),a1),f8(a7,a1))),
% 2.31/2.43     inference(scs_inference,[],[38,21,37,287,289,20,281,221,231,176,249,307,233,271,235,132,123,226,29,30,34,12,11,2,4,14,3,7,9,8,6,28,10,31,32,27,13,244,170,168,167])).
% 2.31/2.43  cnf(321,plain,
% 2.31/2.43     (P3(f4(a5,a9,a1),f8(a7,a1))),
% 2.31/2.43     inference(scs_inference,[],[38,21,37,287,289,20,281,221,231,176,249,307,233,271,235,132,123,226,29,30,34,12,11,2,4,14,3,7,9,8,6,28,10,31,32,27,13,244,170,168,167,165])).
% 2.31/2.43  cnf(325,plain,
% 2.31/2.43     (P3(f4(a5,a9,a1),a7)),
% 2.31/2.43     inference(scs_inference,[],[38,21,37,287,289,20,281,221,231,176,249,307,233,271,235,132,123,226,29,30,34,12,11,2,4,14,3,7,9,8,6,28,10,31,32,27,13,244,170,168,167,165,66,64])).
% 2.31/2.43  cnf(331,plain,
% 2.31/2.43     (~P2(f8(f8(a5,a9),a1),a1)),
% 2.31/2.43     inference(scs_inference,[],[38,313,29])).
% 2.31/2.43  cnf(332,plain,
% 2.31/2.43     (~P3(x3321,a1)),
% 2.31/2.43     inference(rename_variables,[],[38])).
% 2.31/2.43  cnf(334,plain,
% 2.31/2.43     (~P3(f4(a5,a9,a1),f8(f8(x3341,a7),a1))),
% 2.31/2.43     inference(scs_inference,[],[38,20,313,325,29,31])).
% 2.31/2.43  cnf(335,plain,
% 2.31/2.43     (E(f8(x3351,a1),x3351)),
% 2.31/2.43     inference(rename_variables,[],[20])).
% 2.31/2.43  cnf(339,plain,
% 2.31/2.43     (~E(f8(a7,a1),f8(a1,x3391))),
% 2.31/2.43     inference(scs_inference,[],[38,332,20,313,321,325,29,31,26,30])).
% 2.31/2.43  cnf(340,plain,
% 2.31/2.43     (~P3(x3401,a1)),
% 2.31/2.43     inference(rename_variables,[],[38])).
% 2.31/2.43  cnf(342,plain,
% 2.31/2.43     (~P3(f8(f8(a5,a9),a1),f4(a5,a9,a1))),
% 2.31/2.43     inference(scs_inference,[],[38,332,20,313,321,325,29,31,26,30,27])).
% 2.31/2.43  cnf(344,plain,
% 2.31/2.43     (P3(f4(f8(a5,a9),a1,a1),f8(a5,a9))),
% 2.31/2.43     inference(scs_inference,[],[38,332,340,20,313,321,259,325,29,31,26,30,27,34])).
% 2.31/2.43  cnf(347,plain,
% 2.31/2.43     (P3(f4(a5,a9,a1),f8(a5,a9))),
% 2.31/2.43     inference(scs_inference,[],[38,332,340,20,335,313,321,259,325,29,31,26,30,27,34,13])).
% 2.31/2.43  cnf(348,plain,
% 2.31/2.43     (E(f8(x3481,a1),x3481)),
% 2.31/2.43     inference(rename_variables,[],[20])).
% 2.31/2.43  cnf(349,plain,
% 2.31/2.43     (~P3(f8(a5,a1),f4(a5,a9,a1))),
% 2.31/2.43     inference(scs_inference,[],[38,332,340,20,335,348,313,321,259,325,309,29,31,26,30,27,34,13,12])).
% 2.31/2.43  cnf(352,plain,
% 2.31/2.43     (~E(f8(f8(a5,a9),a1),f8(a9,a1))),
% 2.31/2.43     inference(scs_inference,[],[22,38,332,340,20,335,348,313,321,259,294,288,325,309,29,31,26,30,27,34,13,12,11,2])).
% 2.31/2.43  cnf(354,plain,
% 2.31/2.43     (P2(f8(a5,a1),f8(a7,a1))),
% 2.31/2.43     inference(scs_inference,[],[42,22,38,332,340,37,20,335,348,313,321,259,294,288,160,325,309,29,31,26,30,27,34,13,12,11,2,4,14])).
% 2.31/2.43  cnf(355,plain,
% 2.31/2.43     (E(x3551,f8(x3551,a1))),
% 2.31/2.43     inference(rename_variables,[],[37])).
% 2.31/2.43  cnf(356,plain,
% 2.31/2.43     (~E(f8(a2,a1),a6)),
% 2.31/2.43     inference(scs_inference,[],[42,22,38,332,340,37,355,20,335,348,313,321,259,294,288,155,160,325,309,29,31,26,30,27,34,13,12,11,2,4,14,3])).
% 2.31/2.43  cnf(358,plain,
% 2.31/2.43     (P3(f4(a5,a9,a1),f8(f8(a5,a1),a1))),
% 2.31/2.43     inference(scs_inference,[],[20,38,283,32])).
% 2.31/2.43  cnf(359,plain,
% 2.31/2.43     (~P3(x3591,a1)),
% 2.31/2.43     inference(rename_variables,[],[38])).
% 2.31/2.43  cnf(360,plain,
% 2.31/2.43     (E(f8(x3601,a1),x3601)),
% 2.31/2.43     inference(rename_variables,[],[20])).
% 2.31/2.43  cnf(363,plain,
% 2.31/2.43     (E(f8(x3631,a1),x3631)),
% 2.31/2.43     inference(rename_variables,[],[20])).
% 2.31/2.43  cnf(365,plain,
% 2.31/2.43     (~P3(f8(a7,a1),f8(f4(a5,a9,a1),a1))),
% 2.31/2.43     inference(scs_inference,[],[20,360,38,239,319,283,32,30,27])).
% 2.31/2.43  cnf(367,plain,
% 2.31/2.43     (E(a2,f8(a1,x3671))),
% 2.31/2.43     inference(scs_inference,[],[20,360,38,359,239,319,283,132,32,30,27,34])).
% 2.31/2.43  cnf(369,plain,
% 2.31/2.43     (~P3(x3691,a1)),
% 2.31/2.43     inference(rename_variables,[],[38])).
% 2.31/2.43  cnf(373,plain,
% 2.31/2.43     (P3(f4(f8(a5,a1),a9,a1),f8(a5,a9))),
% 2.31/2.43     inference(scs_inference,[],[20,360,38,359,369,239,319,299,347,283,132,32,30,27,34,13,12])).
% 2.31/2.43  cnf(376,plain,
% 2.31/2.43     (E(f3(x3761,f8(x3762,a1)),f3(x3761,x3762))),
% 2.31/2.43     inference(scs_inference,[],[20,360,363,38,359,369,239,319,299,303,258,347,283,132,32,30,27,34,13,12,11,2])).
% 2.31/2.43  cnf(378,plain,
% 2.31/2.43     (~P2(f8(f8(a5,a1),a9),a1)),
% 2.31/2.43     inference(scs_inference,[],[20,360,363,38,359,369,239,319,299,303,258,347,283,290,54,76,132,32,30,27,34,13,12,11,2,4,14])).
% 2.31/2.43  cnf(380,plain,
% 2.31/2.43     (E(f8(f8(a5,a1),f8(a1,x3801)),f8(a5,a1))),
% 2.31/2.43     inference(scs_inference,[],[20,360,363,38,359,369,239,319,299,303,258,347,183,283,290,54,76,132,32,30,27,34,13,12,11,2,4,14,3])).
% 2.31/2.43  cnf(383,plain,
% 2.31/2.44     (E(f8(x3831,a1),f8(x3831,f8(a2,a1)))),
% 2.31/2.44     inference(scs_inference,[],[20,360,363,38,359,369,239,319,299,303,258,347,183,283,290,54,76,132,32,30,27,34,13,12,11,2,4,14,3,5])).
% 2.31/2.44  cnf(384,plain,
% 2.31/2.44     (~P3(f8(f4(a5,a9,a1),a1),f8(x3841,a7))),
% 2.31/2.44     inference(scs_inference,[],[20,360,363,38,359,369,239,319,299,303,258,347,183,283,290,54,225,76,132,32,30,27,34,13,12,11,2,4,14,3,5,31])).
% 2.31/2.44  cnf(387,plain,
% 2.31/2.44     (~E(f8(a5,a1),f8(x3871,f8(a5,a1)))),
% 2.31/2.44     inference(scs_inference,[],[315,31])).
% 2.31/2.44  cnf(389,plain,
% 2.31/2.44     (P3(f4(a5,a9,a1),f8(a5,a1))),
% 2.31/2.44     inference(scs_inference,[],[358,315,383,31,30])).
% 2.31/2.44  cnf(392,plain,
% 2.31/2.44     (~E(a1,f8(a5,a1))),
% 2.31/2.44     inference(scs_inference,[],[358,315,383,31,30,5])).
% 2.31/2.44  cnf(393,plain,
% 2.31/2.44     (~P3(f8(f8(a5,a1),a1),f4(a5,a9,a1))),
% 2.31/2.44     inference(scs_inference,[],[358,315,383,31,30,5,27])).
% 2.31/2.44  cnf(395,plain,
% 2.31/2.44     (P3(f4(a1,x3951,f8(a7,a1)),f8(a7,a1))),
% 2.31/2.44     inference(scs_inference,[],[38,358,315,383,339,31,30,5,27,34])).
% 2.31/2.44  cnf(398,plain,
% 2.31/2.44     (~P3(f8(a5,a1),f8(f4(a5,a9,a1),a1))),
% 2.31/2.44     inference(scs_inference,[],[20,38,349,358,315,383,339,31,30,5,27,34,13])).
% 2.31/2.44  cnf(400,plain,
% 2.31/2.44     (P3(f8(f4(a5,a9,a1),a1),f8(a5,a9))),
% 2.31/2.44     inference(scs_inference,[],[20,37,38,349,358,315,383,339,347,31,30,5,27,34,13,12])).
% 2.31/2.44  cnf(401,plain,
% 2.31/2.44     (E(x4011,f8(x4011,a1))),
% 2.31/2.44     inference(rename_variables,[],[37])).
% 2.31/2.44  cnf(402,plain,
% 2.31/2.44     (~P1(f8(f8(a5,a1),f8(a1,x4021)))),
% 2.31/2.44     inference(scs_inference,[],[20,37,38,349,380,358,315,383,339,258,347,31,30,5,27,34,13,12,11])).
% 2.31/2.44  cnf(403,plain,
% 2.31/2.44     (~E(f8(f8(a5,a9),f8(a9,a1)),f8(a9,a1))),
% 2.31/2.44     inference(scs_inference,[],[20,37,38,349,380,358,306,315,383,339,258,347,31,30,5,27,34,13,12,11,2])).
% 2.31/2.44  cnf(404,plain,
% 2.31/2.44     (P2(f3(x4041,x4042),f3(x4041,f8(x4042,a1)))),
% 2.31/2.44     inference(scs_inference,[],[20,21,37,38,349,376,380,358,306,315,383,339,258,347,31,30,5,27,34,13,12,11,2,14])).
% 2.31/2.44  cnf(405,plain,
% 2.31/2.44     (P2(x4051,x4051)),
% 2.31/2.44     inference(rename_variables,[],[21])).
% 2.31/2.44  cnf(412,plain,
% 2.31/2.44     (~E(f8(a5,a9),f8(f8(a1,x4121),x4122))),
% 2.31/2.44     inference(scs_inference,[],[20,21,405,37,401,38,352,349,376,380,358,306,315,383,339,266,258,347,153,31,30,5,27,34,13,12,11,2,14,4,3,35,15])).
% 2.31/2.44  cnf(418,plain,
% 2.31/2.44     (P3(f8(f4(a5,a9,a1),a1),a7)),
% 2.31/2.44     inference(scs_inference,[],[400,384,150,54,99,35,32])).
% 2.31/2.44  cnf(422,plain,
% 2.31/2.44     (E(f8(x4221,a2),f8(x4221,a1))),
% 2.31/2.44     inference(scs_inference,[],[45,400,384,150,54,99,35,32,5])).
% 2.31/2.44  cnf(423,plain,
% 2.31/2.44     (~E(f8(a5,a1),f8(a1,x4231))),
% 2.31/2.44     inference(scs_inference,[],[45,38,389,400,384,150,54,99,35,32,5,30])).
% 2.31/2.44  cnf(424,plain,
% 2.31/2.44     (~P3(x4241,a1)),
% 2.31/2.44     inference(rename_variables,[],[38])).
% 2.31/2.44  cnf(428,plain,
% 2.31/2.44     (P3(f4(a1,f8(a5,a1),f8(a5,a1)),f8(a5,a1))),
% 2.31/2.44     inference(scs_inference,[],[45,38,424,389,387,395,400,384,150,54,99,35,32,5,30,27,34])).
% 2.31/2.44  cnf(434,plain,
% 2.31/2.44     (~P3(f8(a5,a9),f4(a5,a9,a1))),
% 2.31/2.44     inference(scs_inference,[],[45,37,38,424,342,389,387,395,203,400,384,178,150,54,99,35,32,5,30,27,34,13,12])).
% 2.31/2.44  cnf(435,plain,
% 2.31/2.44     (E(x4351,f8(x4351,a1))),
% 2.31/2.44     inference(rename_variables,[],[37])).
% 2.31/2.44  cnf(436,plain,
% 2.31/2.44     (~P2(f8(f8(a5,a9),a1),a2)),
% 2.31/2.44     inference(scs_inference,[],[45,37,38,424,342,389,387,395,203,400,384,178,331,150,54,99,35,32,5,30,27,34,13,12,15])).
% 2.31/2.44  cnf(437,plain,
% 2.31/2.44     (E(a1,a2)),
% 2.31/2.44     inference(scs_inference,[],[45,37,38,424,342,389,387,395,203,400,384,178,331,150,54,99,35,32,5,30,27,34,13,12,15,2])).
% 2.31/2.44  cnf(438,plain,
% 2.31/2.44     (~E(f8(a7,a9),f8(f8(a5,a1),a9))),
% 2.31/2.44     inference(scs_inference,[],[21,45,37,38,424,342,389,387,395,203,400,384,178,262,331,150,54,99,35,32,5,30,27,34,13,12,15,2,14])).
% 2.31/2.44  cnf(440,plain,
% 2.31/2.44     (E(f8(a2,x4401),f8(f8(a1,x4402),x4401))),
% 2.31/2.44     inference(scs_inference,[],[21,45,37,38,424,342,389,387,395,203,400,384,178,262,331,367,150,54,99,35,32,5,30,27,34,13,12,15,2,14,4])).
% 2.31/2.44  cnf(443,plain,
% 2.31/2.44     (P3(f4(a5,a9,a1),f8(f8(a7,a9),a1))),
% 2.31/2.44     inference(scs_inference,[],[21,45,37,435,38,424,342,389,387,395,203,400,384,230,178,262,331,367,150,54,325,99,35,32,5,30,27,34,13,12,15,2,14,4,3,244])).
% 2.31/2.44  cnf(445,plain,
% 2.31/2.44     (E(f4(x4451,a2,x4452),f4(x4451,a1,x4452))),
% 2.31/2.44     inference(scs_inference,[],[21,45,37,435,38,424,342,389,387,395,203,400,384,230,178,262,331,367,150,54,325,99,35,32,5,30,27,34,13,12,15,2,14,4,3,244,7])).
% 2.31/2.44  cnf(446,plain,
% 2.31/2.44     (E(f4(a2,x4461,x4462),f4(a1,x4461,x4462))),
% 2.31/2.44     inference(scs_inference,[],[21,45,37,435,38,424,342,389,387,395,203,400,384,230,178,262,331,367,150,54,325,99,35,32,5,30,27,34,13,12,15,2,14,4,3,244,7,6])).
% 2.31/2.44  cnf(448,plain,
% 2.31/2.44     (E(f4(x4481,x4482,a2),f4(x4481,x4482,a1))),
% 2.31/2.44     inference(scs_inference,[],[21,45,37,435,38,424,342,389,387,395,203,400,384,230,178,262,331,367,150,54,325,99,35,32,5,30,27,34,13,12,15,2,14,4,3,244,7,6,9,8])).
% 2.31/2.44  cnf(450,plain,
% 2.31/2.44     (~P1(f8(f8(a7,a9),a1))),
% 2.31/2.44     inference(scs_inference,[],[21,45,37,435,38,424,342,389,387,395,203,400,384,230,178,262,331,367,150,54,325,99,35,32,5,30,27,34,13,12,15,2,14,4,3,244,7,6,9,8,10,26])).
% 2.31/2.44  cnf(452,plain,
% 2.31/2.44     (~P1(f8(a5,f8(a9,a1)))),
% 2.31/2.44     inference(scs_inference,[],[21,45,37,435,38,424,342,389,387,395,203,400,384,230,178,262,331,367,150,82,53,54,325,99,35,32,5,30,27,34,13,12,15,2,14,4,3,244,7,6,9,8,10,26,11])).
% 2.31/2.44  cnf(457,plain,
% 2.31/2.44     (E(a1,f8(a2,x4571))),
% 2.31/2.44     inference(scs_inference,[],[38,443,247,418,132,32,27,34])).
% 2.31/2.44  cnf(459,plain,
% 2.31/2.44     (~P3(x4591,a1)),
% 2.31/2.44     inference(rename_variables,[],[38])).
% 2.31/2.44  cnf(462,plain,
% 2.31/2.44     (~P3(x4621,a1)),
% 2.31/2.44     inference(rename_variables,[],[38])).
% 2.31/2.44  cnf(465,plain,
% 2.31/2.44     (P2(f4(x4651,f8(a2,a1),x4652),f4(x4651,a1,x4652))),
% 2.31/2.44     inference(scs_inference,[],[21,38,459,443,296,202,247,418,252,132,32,27,34,13,12,15])).
% 2.31/2.44  cnf(467,plain,
% 2.31/2.44     (~E(f8(a1,x4671),f8(a5,a1))),
% 2.31/2.44     inference(scs_inference,[],[21,38,459,443,296,202,423,247,418,252,132,32,27,34,13,12,15,2])).
% 2.31/2.44  cnf(468,plain,
% 2.31/2.44     (P1(f8(f8(a1,x4681),a1))),
% 2.31/2.44     inference(scs_inference,[],[21,38,459,443,296,202,423,440,247,418,252,123,132,32,27,34,13,12,15,2,11])).
% 2.31/2.44  cnf(470,plain,
% 2.31/2.44     (~P2(f8(a5,a9),a2)),
% 2.31/2.44     inference(scs_inference,[],[21,37,38,459,443,296,202,423,440,247,418,436,252,123,132,32,27,34,13,12,15,2,11,14])).
% 2.31/2.44  cnf(471,plain,
% 2.31/2.44     (E(x4711,f8(x4711,a1))),
% 2.31/2.44     inference(rename_variables,[],[37])).
% 2.31/2.44  cnf(474,plain,
% 2.31/2.44     (E(f4(x4741,a2,x4742),f8(f4(x4741,a1,x4742),a1))),
% 2.31/2.44     inference(scs_inference,[],[21,37,471,38,459,443,296,202,423,440,412,247,445,418,436,252,123,132,32,27,34,13,12,15,2,11,14,4,3])).
% 2.31/2.44  cnf(479,plain,
% 2.31/2.44     (P3(f3(f8(a5,a9),a2),f8(a5,a9))),
% 2.31/2.44     inference(scs_inference,[],[21,37,471,38,459,462,443,296,202,423,440,412,247,445,418,436,252,294,123,132,32,27,34,13,12,15,2,11,14,4,3,36,28])).
% 2.31/2.44  cnf(481,plain,
% 2.31/2.44     (P3(f4(a1,f8(a5,a1),f8(a5,a1)),f8(a7,a1))),
% 2.31/2.44     inference(scs_inference,[],[21,37,471,38,459,462,354,443,428,296,202,423,440,412,247,445,418,436,252,294,123,132,32,27,34,13,12,15,2,11,14,4,3,36,28,29])).
% 2.31/2.44  cnf(485,plain,
% 2.31/2.44     (~P2(f8(a7,a1),a1)),
% 2.31/2.44     inference(scs_inference,[],[38,481,29])).
% 2.31/2.44  cnf(486,plain,
% 2.31/2.44     (~P3(x4861,a1)),
% 2.31/2.44     inference(rename_variables,[],[38])).
% 2.31/2.44  cnf(488,plain,
% 2.31/2.44     (P3(f4(a5,a9,a1),f8(a7,a9))),
% 2.31/2.44     inference(scs_inference,[],[38,481,239,321,127,29,32])).
% 2.31/2.44  cnf(491,plain,
% 2.31/2.44     (~P3(f8(a7,a1),f4(a1,f8(a5,a1),f8(a5,a1)))),
% 2.31/2.44     inference(scs_inference,[],[38,481,239,321,127,29,32,27])).
% 2.31/2.44  cnf(493,plain,
% 2.31/2.44     (P3(f4(a5,a1,a1),a5)),
% 2.31/2.44     inference(scs_inference,[],[38,486,392,481,239,321,127,29,32,27,34])).
% 2.31/2.44  cnf(496,plain,
% 2.31/2.44     (~P3(f8(a7,a1),f4(a5,a9,a1))),
% 2.31/2.44     inference(scs_inference,[],[37,38,486,365,392,481,239,321,127,29,32,27,34,13])).
% 2.31/2.44  cnf(497,plain,
% 2.31/2.44     (E(x4971,f8(x4971,a1))),
% 2.31/2.44     inference(rename_variables,[],[37])).
% 2.31/2.44  cnf(498,plain,
% 2.31/2.44     (P3(f8(f4(a5,a9,a1),a1),f8(a5,a1))),
% 2.31/2.44     inference(scs_inference,[],[37,497,38,486,365,392,481,239,321,389,127,29,32,27,34,13,12])).
% 2.31/2.44  cnf(499,plain,
% 2.31/2.44     (E(x4991,f8(x4991,a1))),
% 2.31/2.44     inference(rename_variables,[],[37])).
% 2.31/2.44  cnf(504,plain,
% 2.31/2.44     (P2(f4(x5041,x5042,a1),f4(x5041,x5042,a2))),
% 2.31/2.44     inference(scs_inference,[],[22,42,37,497,499,38,486,365,216,392,481,298,468,239,321,389,127,29,32,27,34,13,12,15,2,11,14])).
% 2.31/2.44  cnf(507,plain,
% 2.31/2.44     (E(f8(a1,x5071),f8(f8(a2,x5072),x5071))),
% 2.31/2.44     inference(scs_inference,[],[22,42,37,497,499,38,486,365,216,392,481,298,468,457,239,321,389,127,29,32,27,34,13,12,15,2,11,14,4])).
% 2.31/2.44  cnf(511,plain,
% 2.31/2.44     (P3(f4(a5,a1,a1),f8(a7,a1))),
% 2.31/2.44     inference(scs_inference,[],[22,49,42,37,497,499,38,486,365,216,392,481,298,200,468,457,239,321,389,127,29,32,27,34,13,12,15,2,11,14,4,3,165])).
% 2.31/2.44  cnf(513,plain,
% 2.31/2.44     (P3(f8(f4(a5,a1,a1),a1),f8(a7,a1))),
% 2.31/2.44     inference(scs_inference,[],[22,49,42,37,497,499,38,486,365,216,392,481,298,200,468,457,239,321,389,127,29,32,27,34,13,12,15,2,11,14,4,3,165,167])).
% 2.31/2.44  cnf(515,plain,
% 2.31/2.44     (P3(f4(a5,a1,a1),a7)),
% 2.31/2.44     inference(scs_inference,[],[22,49,42,37,497,499,38,486,365,216,392,481,298,200,468,457,239,321,389,127,29,32,27,34,13,12,15,2,11,14,4,3,165,167,64])).
% 2.31/2.44  cnf(517,plain,
% 2.31/2.44     (P3(f4(a5,a1,a1),f8(f8(a7,a1),a1))),
% 2.31/2.44     inference(scs_inference,[],[511,128,29])).
% 2.31/2.44  cnf(520,plain,
% 2.31/2.44     (~P3(f8(a7,a1),f4(a5,a1,a1))),
% 2.31/2.44     inference(scs_inference,[],[511,128,29,27])).
% 2.31/2.44  cnf(522,plain,
% 2.31/2.44     (P3(f4(a5,a1,f8(a1,x5221)),a5)),
% 2.31/2.44     inference(scs_inference,[],[511,128,467,99,29,27,34])).
% 2.31/2.44  cnf(523,plain,
% 2.31/2.44     (~E(f8(a1,x5231),f8(a5,a1))),
% 2.31/2.44     inference(rename_variables,[],[467])).
% 2.31/2.44  cnf(526,plain,
% 2.31/2.44     (~P3(f8(a7,a1),f4(a2,f8(a5,a1),f8(a5,a1)))),
% 2.31/2.44     inference(scs_inference,[],[511,491,128,467,446,99,29,27,34,13])).
% 2.31/2.44  cnf(529,plain,
% 2.31/2.44     (E(x5291,f8(x5291,a1))),
% 2.31/2.44     inference(rename_variables,[],[37])).
% 2.31/2.44  cnf(530,plain,
% 2.31/2.44     (~P2(f8(f8(a5,a1),a9),a2)),
% 2.31/2.44     inference(scs_inference,[],[45,37,496,511,491,128,467,446,378,99,29,27,34,13,12,15])).
% 2.31/2.44  cnf(532,plain,
% 2.31/2.44     (~E(a1,f8(f8(a5,a1),a9))),
% 2.31/2.44     inference(scs_inference,[],[40,45,37,496,511,491,128,467,356,446,378,99,29,27,34,13,12,15,2,14])).
% 2.31/2.44  cnf(534,plain,
% 2.31/2.44     (~P1(f8(a7,a9))),
% 2.31/2.44     inference(scs_inference,[],[40,45,37,529,496,511,450,491,128,467,356,446,378,99,29,27,34,13,12,15,2,14,11])).
% 2.31/2.44  cnf(535,plain,
% 2.31/2.44     (E(x5351,f8(x5351,a1))),
% 2.31/2.44     inference(rename_variables,[],[37])).
% 2.31/2.44  cnf(537,plain,
% 2.31/2.44     (~E(f8(f8(a1,x5371),a1),f8(a5,a1))),
% 2.31/2.44     inference(scs_inference,[],[40,45,37,529,535,496,511,450,491,128,467,523,356,446,438,378,99,29,27,34,13,12,15,2,14,11,4,3])).
% 2.31/2.44  cnf(539,plain,
% 2.31/2.44     (~P3(f4(f8(a5,a1),a9,a1),a9)),
% 2.31/2.44     inference(scs_inference,[],[40,45,37,529,535,496,511,450,491,128,467,523,356,446,438,378,99,29,27,34,13,12,15,2,14,11,4,3,107])).
% 2.31/2.44  cnf(541,plain,
% 2.31/2.44     (~P3(f8(f4(a5,a9,a1),a1),f8(x5411,a5))),
% 2.31/2.44     inference(scs_inference,[],[40,45,37,529,535,498,496,511,450,491,128,467,523,356,446,438,378,225,99,29,27,34,13,12,15,2,14,11,4,3,107,31])).
% 2.31/2.44  cnf(545,plain,
% 2.31/2.44     (~P1(f8(f8(a5,a1),a9))),
% 2.31/2.44     inference(scs_inference,[],[532,16,25])).
% 2.31/2.44  cnf(550,plain,
% 2.31/2.44     (~E(f8(a7,a9),f8(x5501,f8(a7,a9)))),
% 2.31/2.44     inference(scs_inference,[],[520,488,465,532,16,25,29,31])).
% 2.31/2.44  cnf(552,plain,
% 2.31/2.44     (~P3(f8(f8(a7,a1),a1),f4(a5,a1,a1))),
% 2.31/2.44     inference(scs_inference,[],[520,517,488,465,532,16,25,29,31,27])).
% 2.31/2.44  cnf(556,plain,
% 2.31/2.44     (~P3(x5561,a1)),
% 2.31/2.44     inference(rename_variables,[],[38])).
% 2.31/2.44  cnf(559,plain,
% 2.31/2.44     (~P3(x5591,a1)),
% 2.31/2.44     inference(rename_variables,[],[38])).
% 2.31/2.44  cnf(562,plain,
% 2.31/2.44     (E(f4(x5621,a1,x5622),f4(x5621,f8(a1,x5623),x5622))),
% 2.31/2.44     inference(scs_inference,[],[38,556,520,517,488,465,199,479,532,303,16,99,25,29,31,27,34,13,12,2])).
% 2.31/2.44  cnf(563,plain,
% 2.31/2.44     (~P2(f8(f8(a5,a1),f8(a9,a1)),a2)),
% 2.31/2.44     inference(scs_inference,[],[38,556,520,517,488,465,199,479,530,532,303,53,16,99,25,29,31,27,34,13,12,2,14])).
% 2.31/2.44  cnf(565,plain,
% 2.31/2.44     (P1(f8(f8(a2,x5651),a1))),
% 2.31/2.44     inference(scs_inference,[],[38,556,520,517,488,465,199,507,479,530,532,303,212,53,16,99,25,29,31,27,34,13,12,2,14,11])).
% 2.31/2.44  cnf(568,plain,
% 2.31/2.44     (E(f4(x5681,x5682,a2),f8(f4(x5681,x5682,a1),a1))),
% 2.31/2.44     inference(scs_inference,[],[37,38,556,520,517,488,465,199,507,448,479,437,530,532,303,212,53,16,99,25,29,31,27,34,13,12,2,14,11,4,3])).
% 2.31/2.44  cnf(570,plain,
% 2.31/2.44     (E(f4(x5701,a1,x5702),f4(x5701,a2,x5702))),
% 2.31/2.44     inference(scs_inference,[],[37,38,556,520,517,488,465,199,507,448,479,437,530,532,303,212,53,16,99,25,29,31,27,34,13,12,2,14,11,4,3,7])).
% 2.31/2.44  cnf(577,plain,
% 2.31/2.44     (~P1(f8(f8(a7,a1),a1))),
% 2.31/2.44     inference(scs_inference,[],[37,38,556,520,517,488,465,199,507,448,479,437,530,532,303,212,53,16,132,99,25,29,31,27,34,13,12,2,14,11,4,3,7,35,6,9,8,24])).
% 2.31/2.44  cnf(580,plain,
% 2.31/2.44     (~P3(x5801,f8(f8(a2,x5802),a1))),
% 2.31/2.44     inference(scs_inference,[],[37,38,556,520,517,488,465,199,507,448,479,437,530,532,303,212,53,16,132,99,25,29,31,27,34,13,12,2,14,11,4,3,7,35,6,9,8,24,10,26])).
% 2.31/2.44  cnf(582,plain,
% 2.31/2.44     (~P3(x5821,f8(f8(a2,a1),x5822))),
% 2.31/2.44     inference(scs_inference,[],[37,38,556,559,520,517,488,465,199,291,507,448,479,437,530,532,303,212,53,16,132,99,25,29,31,27,34,13,12,2,14,11,4,3,7,35,6,9,8,24,10,26,30])).
% 2.31/2.44  cnf(584,plain,
% 2.31/2.44     (E(f8(x5841,a1),f8(x5841,a2))),
% 2.31/2.44     inference(scs_inference,[],[37,38,556,559,520,517,488,465,199,291,507,448,479,437,530,532,303,212,53,16,132,99,25,29,31,27,34,13,12,2,14,11,4,3,7,35,6,9,8,24,10,26,30,5])).
% 2.31/2.44  cnf(590,plain,
% 2.31/2.44     (P3(f4(a5,a1,a1),f8(f8(a5,a1),f8(a1,x5901)))),
% 2.31/2.44     inference(scs_inference,[],[38,582,344,493,565,380,24,29,32])).
% 2.31/2.44  cnf(591,plain,
% 2.31/2.44     (~P3(x5911,a1)),
% 2.31/2.44     inference(rename_variables,[],[38])).
% 2.31/2.44  cnf(594,plain,
% 2.31/2.44     (~P3(x5941,a1)),
% 2.31/2.44     inference(rename_variables,[],[38])).
% 2.31/2.44  cnf(598,plain,
% 2.31/2.44     (P3(f4(a1,f8(a7,a9),f8(a7,a9)),f8(a7,a9))),
% 2.31/2.44     inference(scs_inference,[],[38,591,594,582,550,344,515,493,565,380,24,29,32,30,27,34])).
% 2.31/2.44  cnf(600,plain,
% 2.31/2.44     (~E(f8(a7,a9),f8(x6001,f8(a7,a9)))),
% 2.31/2.44     inference(rename_variables,[],[550])).
% 2.31/2.44  cnf(602,plain,
% 2.31/2.44     (~P3(f8(a5,a9),f4(a5,a9,f8(a1,a1)))),
% 2.31/2.44     inference(scs_inference,[],[50,38,591,594,582,550,344,434,515,493,565,380,24,29,32,30,27,34,13])).
% 2.31/2.44  cnf(605,plain,
% 2.31/2.44     (E(x6051,f8(x6051,a1))),
% 2.31/2.44     inference(rename_variables,[],[37])).
% 2.31/2.44  cnf(606,plain,
% 2.31/2.44     (~E(f8(a2,a1),f8(f8(a5,a9),a1))),
% 2.31/2.44     inference(scs_inference,[],[37,50,38,591,594,192,582,550,344,434,515,493,565,380,123,24,29,32,30,27,34,13,12,11])).
% 2.31/2.44  cnf(608,plain,
% 2.31/2.44     (P2(f4(x6081,f8(a1,x6082),a1),f4(x6081,a1,a2))),
% 2.31/2.44     inference(scs_inference,[],[37,50,38,591,594,192,582,550,600,344,562,434,504,515,493,565,380,123,24,29,32,30,27,34,13,12,11,2,14])).
% 2.31/2.44  cnf(614,plain,
% 2.31/2.44     (P3(f3(f8(a7,a1),a1),f8(a7,a1))),
% 2.31/2.44     inference(scs_inference,[],[37,605,50,38,591,594,192,582,550,600,344,403,562,434,537,504,515,493,565,485,380,123,24,29,32,30,27,34,13,12,11,2,14,4,3,28])).
% 2.31/2.44  cnf(620,plain,
% 2.31/2.44     (P3(f4(a5,a1,f8(a1,x6201)),f8(a7,a1))),
% 2.31/2.44     inference(scs_inference,[],[42,522,29])).
% 2.31/2.44  cnf(622,plain,
% 2.31/2.44     (~E(a1,f8(f8(a7,a1),a1))),
% 2.31/2.44     inference(scs_inference,[],[38,42,614,522,29,32])).
% 2.31/2.44  cnf(624,plain,
% 2.31/2.44     (~P3(x6241,a1)),
% 2.31/2.44     inference(rename_variables,[],[38])).
% 2.31/2.44  cnf(627,plain,
% 2.31/2.44     (E(f8(x6271,x6272),f8(f8(x6271,a1),x6272))),
% 2.31/2.44     inference(rename_variables,[],[127])).
% 2.31/2.44  cnf(632,plain,
% 2.31/2.44     (E(f8(x6321,a2),f8(x6321,f8(a1,x6322)))),
% 2.31/2.44     inference(scs_inference,[],[38,42,393,614,598,568,522,367,127,29,32,31,30,5])).
% 2.31/2.44  cnf(633,plain,
% 2.31/2.44     (~P3(f8(a7,a1),f3(f8(a7,a1),a1))),
% 2.31/2.44     inference(scs_inference,[],[38,42,393,614,598,568,522,367,127,29,32,31,30,5,27])).
% 2.31/2.44  cnf(635,plain,
% 2.31/2.44     (P3(f4(f8(a5,a9),a1,f8(a2,a1)),f8(a5,a9))),
% 2.31/2.44     inference(scs_inference,[],[38,42,606,393,614,598,568,522,367,127,153,29,32,31,30,5,27,34])).
% 2.31/2.44  cnf(638,plain,
% 2.31/2.44     (~P3(x6381,f8(f8(a1,a1),x6382))),
% 2.31/2.44     inference(scs_inference,[],[38,624,42,606,393,614,598,195,568,522,367,127,153,29,32,31,30,5,27,34,13])).
% 2.31/2.44  cnf(640,plain,
% 2.31/2.44     (E(f8(x6401,a2),f8(x6401,a1))),
% 2.31/2.44     inference(rename_variables,[],[422])).
% 2.31/2.44  cnf(647,plain,
% 2.31/2.44     (~E(f8(f8(a7,a1),a9),f8(a5,a9))),
% 2.31/2.44     inference(scs_inference,[],[38,624,43,49,42,398,606,393,614,577,404,598,195,568,522,422,640,367,100,127,627,153,29,32,31,30,5,27,34,13,12,2,11,14,4,3])).
% 2.31/2.44  cnf(649,plain,
% 2.31/2.44     (P3(f4(a5,a1,f8(a1,x6491)),a7)),
% 2.31/2.44     inference(scs_inference,[],[38,624,43,49,42,398,606,393,614,577,404,598,195,568,522,422,640,367,100,127,627,153,29,32,31,30,5,27,34,13,12,2,11,14,4,3,64])).
% 2.31/2.44  cnf(651,plain,
% 2.31/2.44     (~P3(f4(a5,a1,f8(a1,x6511)),f8(x6512,a7))),
% 2.31/2.44     inference(scs_inference,[],[620,225,31])).
% 2.31/2.44  cnf(659,plain,
% 2.31/2.44     (~P3(f8(a5,a9),f4(f8(a5,a9),a1,f8(a2,a1)))),
% 2.31/2.44     inference(scs_inference,[],[552,635,539,620,373,474,225,31,32,30,27])).
% 2.31/2.44  cnf(661,plain,
% 2.31/2.44     (E(a1,f8(f8(a1,x6611),x6612))),
% 2.31/2.44     inference(scs_inference,[],[38,552,635,539,620,373,474,225,99,31,32,30,27,34])).
% 2.31/2.44  cnf(663,plain,
% 2.31/2.44     (~P3(x6631,a1)),
% 2.31/2.44     inference(rename_variables,[],[38])).
% 2.31/2.44  cnf(667,plain,
% 2.31/2.44     (P3(f4(f8(a5,a9),a1,a2),f8(a5,a9))),
% 2.31/2.44     inference(scs_inference,[],[38,663,50,552,635,590,539,620,373,474,225,99,31,32,30,27,34,13,12])).
% 2.31/2.44  cnf(668,plain,
% 2.31/2.44     (E(f4(x6681,x6682,f8(x6683,a1)),f4(x6681,x6682,x6683))),
% 2.31/2.44     inference(rename_variables,[],[50])).
% 2.31/2.44  cnf(669,plain,
% 2.31/2.44     (~E(f8(a5,a9),f8(f8(a7,a1),a9))),
% 2.31/2.44     inference(scs_inference,[],[38,663,50,552,647,635,590,539,620,373,474,225,99,31,32,30,27,34,13,12,2])).
% 2.31/2.44  cnf(675,plain,
% 2.31/2.44     (E(f4(x6751,f8(x6752,a1),f8(x6753,a1)),f4(x6751,x6752,x6753))),
% 2.31/2.44     inference(scs_inference,[],[38,663,51,50,668,552,647,635,590,402,539,632,620,373,474,331,183,225,99,31,32,30,27,34,13,12,2,11,14,4,3])).
% 2.31/2.44  cnf(680,plain,
% 2.31/2.44     (~P3(f3(a5,f8(x6801,a5)),f8(x6801,a5))),
% 2.31/2.44     inference(scs_inference,[],[38,663,51,50,668,42,552,647,635,590,402,541,539,632,620,373,474,286,331,183,225,99,31,32,30,27,34,13,12,2,11,14,4,3,29,15,33])).
% 2.31/2.44  cnf(682,plain,
% 2.31/2.44     (~E(f8(a7,a1),f8(x6821,f8(a7,a1)))),
% 2.31/2.44     inference(scs_inference,[],[513,31])).
% 2.31/2.44  cnf(684,plain,
% 2.31/2.44     (P3(f3(f8(a5,a9),f8(a7,a9)),f8(a7,a1))),
% 2.31/2.44     inference(scs_inference,[],[513,354,315,31,29])).
% 2.31/2.44  cnf(689,plain,
% 2.31/2.44     (P3(f4(f8(a7,a1),a1,a1),f8(a7,a1))),
% 2.31/2.44     inference(scs_inference,[],[667,622,513,354,315,38,31,29,5,27,34])).
% 2.31/2.44  cnf(694,plain,
% 2.31/2.44     (E(f4(f8(x6941,a1),x6942,x6943),f4(x6941,x6942,x6943))),
% 2.31/2.44     inference(rename_variables,[],[52])).
% 2.31/2.44  cnf(695,plain,
% 2.31/2.44     (P3(f4(f8(a5,a9),a2,a2),f8(a5,a9))),
% 2.31/2.44     inference(scs_inference,[],[52,602,667,622,563,513,570,354,315,437,38,31,29,5,27,34,15,13,12])).
% 2.31/2.44  cnf(697,plain,
% 2.31/2.44     (E(f4(x6971,x6972,x6973),f4(x6971,f8(x6972,a1),f8(x6973,a1)))),
% 2.31/2.44     inference(scs_inference,[],[52,602,675,667,622,563,513,570,354,315,437,38,31,29,5,27,34,15,13,12,2])).
% 2.31/2.44  cnf(698,plain,
% 2.31/2.44     (P2(f4(x6981,x6982,x6983),f4(x6981,f8(x6982,a1),x6983))),
% 2.31/2.44     inference(scs_inference,[],[52,602,675,667,622,563,513,570,354,216,315,437,38,31,29,5,27,34,15,13,12,2,14])).
% 2.31/2.44  cnf(701,plain,
% 2.31/2.44     (~E(f8(a1,a1),f8(f8(a5,a1),a9))),
% 2.31/2.44     inference(scs_inference,[],[52,545,602,675,667,622,563,513,570,354,216,315,212,437,38,31,29,5,27,34,15,13,12,2,14,11])).
% 2.31/2.44  cnf(702,plain,
% 2.31/2.44     (E(f4(f8(x7021,a1),f8(x7022,a1),x7023),f4(x7021,x7022,x7023))),
% 2.31/2.44     inference(scs_inference,[],[52,694,51,545,602,675,667,622,563,513,570,354,216,315,212,437,38,31,29,5,27,34,15,13,12,2,14,11,3])).
% 2.31/2.44  cnf(705,plain,
% 2.31/2.44     (P3(f3(f8(a5,a9),f8(a7,a9)),a9)),
% 2.31/2.44     inference(scs_inference,[],[52,694,51,545,602,675,667,622,563,513,570,354,216,315,212,437,38,31,29,5,27,34,15,13,12,2,14,11,3,273])).
% 2.31/2.44  cnf(706,plain,
% 2.31/2.44     (P3(f4(f8(a5,a9),f8(a7,a9),f8(a7,a9)),f8(a7,a9))),
% 2.31/2.44     inference(scs_inference,[],[52,694,51,545,602,675,667,622,563,513,570,354,216,315,212,437,38,31,29,5,27,34,15,13,12,2,14,11,3,273,136])).
% 2.31/2.44  cnf(709,plain,
% 2.31/2.44     (E(f4(x7091,a1,x7092),f4(x7091,f8(a2,x7093),x7092))),
% 2.31/2.44     inference(scs_inference,[],[52,694,51,545,602,675,667,622,563,513,570,354,216,315,457,212,437,38,31,29,5,27,34,15,13,12,2,14,11,3,273,136,9,8,7])).
% 2.31/2.44  cnf(717,plain,
% 2.31/2.44     (~E(a5,f8(a7,a1))),
% 2.31/2.44     inference(scs_inference,[],[52,694,51,545,669,602,675,667,651,622,563,649,513,570,354,216,315,457,212,437,38,31,29,5,27,34,15,13,12,2,14,11,3,273,136,9,8,7,10,6,26,30,4])).
% 2.31/2.44  cnf(719,plain,
% 2.31/2.44     (~P3(x7191,f8(a1,x7192))),
% 2.31/2.44     inference(rename_variables,[],[99])).
% 2.31/2.44  cnf(722,plain,
% 2.31/2.44     (E(f8(x7221,x7222),f8(f8(x7221,a1),x7222))),
% 2.31/2.44     inference(rename_variables,[],[127])).
% 2.31/2.44  cnf(725,plain,
% 2.31/2.44     (P2(f4(x7251,x7252,x7253),f4(x7251,f8(x7252,a1),x7253))),
% 2.31/2.44     inference(rename_variables,[],[698])).
% 2.31/2.44  cnf(727,plain,
% 2.31/2.44     (P3(f4(f8(a5,a9),f8(a7,a9),f8(a7,a9)),f8(a7,a1))),
% 2.31/2.44     inference(scs_inference,[],[706,701,698,526,127,722,99,35,31,29,30])).
% 2.31/2.44  cnf(730,plain,
% 2.31/2.44     (E(f8(x7301,a1),f8(x7301,f8(a1,x7302)))),
% 2.31/2.44     inference(scs_inference,[],[706,701,698,526,100,127,722,99,35,31,29,30,5])).
% 2.31/2.44  cnf(733,plain,
% 2.31/2.44     (P3(f4(f8(a5,a1),a9,f8(a1,a1)),f8(a5,a1))),
% 2.31/2.44     inference(scs_inference,[],[706,701,698,526,100,127,722,99,719,35,31,29,30,5,27,34])).
% 2.31/2.44  cnf(736,plain,
% 2.31/2.44     (~P3(f8(a5,a9),f4(f8(a5,a9),f8(a1,a1),f8(a2,a1)))),
% 2.31/2.44     inference(scs_inference,[],[51,706,701,659,698,526,100,127,722,99,719,35,31,29,30,5,27,34,13])).
% 2.31/2.44  cnf(741,plain,
% 2.31/2.44     (P2(f4(x7411,x7412,x7413),f4(f8(x7411,a1),f8(x7412,a1),x7413))),
% 2.31/2.44     inference(scs_inference,[],[52,51,706,701,633,659,698,725,526,422,100,127,722,99,719,35,31,29,30,5,27,34,13,12,2,14])).
% 2.31/2.44  cnf(743,plain,
% 2.31/2.44     (~P1(f8(f8(a7,a1),a9))),
% 2.31/2.44     inference(scs_inference,[],[52,51,706,701,633,659,698,725,534,526,422,100,54,127,722,99,719,35,31,29,30,5,27,34,13,12,2,14,11])).
% 2.31/2.44  cnf(744,plain,
% 2.31/2.44     (~E(f8(a7,a2),f8(x7441,f8(a7,a1)))),
% 2.31/2.44     inference(scs_inference,[],[52,51,706,701,682,633,659,698,725,534,526,584,422,100,54,127,722,99,719,35,31,29,30,5,27,34,13,12,2,14,11,3])).
% 2.31/2.44  cnf(750,plain,
% 2.31/2.44     (P3(f4(a5,a9,a1),f8(f8(a7,a9),f8(a9,a1)))),
% 2.31/2.44     inference(scs_inference,[],[53,488,239,32])).
% 2.31/2.44  cnf(751,plain,
% 2.31/2.44     (E(f8(x7511,f8(x7512,a1)),f8(x7511,x7512))),
% 2.31/2.44     inference(rename_variables,[],[53])).
% 2.31/2.44  cnf(753,plain,
% 2.31/2.44     (~P3(f4(f8(a5,a9),f8(a7,a9),f8(a7,a9)),f8(x7531,a7))),
% 2.31/2.44     inference(scs_inference,[],[53,727,488,239,225,32,31])).
% 2.31/2.44  cnf(756,plain,
% 2.31/2.44     (~P2(f8(a7,a1),f8(f8(a1,a1),x7561))),
% 2.31/2.44     inference(scs_inference,[],[53,638,727,488,239,225,32,31,29])).
% 2.31/2.44  cnf(757,plain,
% 2.31/2.44     (~P3(x7571,f8(f8(a1,a1),x7572))),
% 2.31/2.44     inference(rename_variables,[],[638])).
% 2.31/2.44  cnf(759,plain,
% 2.31/2.44     (~P3(x7591,f8(a2,x7592))),
% 2.31/2.44     inference(scs_inference,[],[53,638,727,232,488,239,225,38,32,31,29,30])).
% 2.31/2.44  cnf(765,plain,
% 2.31/2.44     (P2(f4(x7651,x7652,x7653),f4(f8(x7651,a1),x7652,x7653))),
% 2.31/2.44     inference(scs_inference,[],[53,51,638,727,741,744,232,488,239,225,38,32,31,29,30,5,27,15])).
% 2.31/2.44  cnf(767,plain,
% 2.31/2.44     (~E(f8(a7,a1),f8(f8(a1,a1),x7671))),
% 2.31/2.44     inference(scs_inference,[],[53,51,638,757,727,741,744,232,488,239,225,38,32,31,29,30,5,27,15,13])).
% 2.31/2.44  cnf(770,plain,
% 2.31/2.44     (E(f4(x7701,x7702,f8(x7703,a1)),f4(x7701,x7702,x7703))),
% 2.31/2.44     inference(rename_variables,[],[50])).
% 2.31/2.44  cnf(772,plain,
% 2.31/2.44     (~P2(f8(a5,f8(a9,a1)),a2)),
% 2.31/2.44     inference(scs_inference,[],[50,53,751,51,638,757,727,733,702,741,744,470,232,488,239,225,38,32,31,29,30,5,27,15,13,12,2,14])).
% 2.31/2.44  cnf(773,plain,
% 2.31/2.44     (E(f8(x7731,f8(x7732,a1)),f8(x7731,x7732))),
% 2.31/2.44     inference(rename_variables,[],[53])).
% 2.31/2.44  cnf(774,plain,
% 2.31/2.44     (~P1(f8(f8(a7,a1),f8(a9,a1)))),
% 2.31/2.44     inference(scs_inference,[],[50,53,751,773,51,638,757,727,743,733,702,741,744,470,232,488,239,225,38,32,31,29,30,5,27,15,13,12,2,14,11])).
% 2.31/2.44  cnf(776,plain,
% 2.31/2.44     (E(f4(f8(x7761,a1),x7762,f8(x7763,a1)),f4(x7761,x7762,x7763))),
% 2.31/2.44     inference(scs_inference,[],[50,770,52,53,751,773,51,638,757,727,743,733,702,741,744,470,232,488,239,225,38,32,31,29,30,5,27,15,13,12,2,14,11,3])).
% 2.31/2.44  cnf(789,plain,
% 2.31/2.44     (P3(f3(f8(a5,a9),f8(a7,a9)),f8(a9,a1))),
% 2.31/2.44     inference(scs_inference,[],[705,128,29])).
% 2.31/2.44  cnf(796,plain,
% 2.31/2.44     (E(f8(x7961,f8(a2,a1)),f8(x7961,a1))),
% 2.31/2.44     inference(scs_inference,[],[753,705,128,706,176,29,31,30,5])).
% 2.31/2.44  cnf(797,plain,
% 2.31/2.44     (P3(f4(f8(a1,a1),x7971,f8(a7,a1)),f8(a7,a1))),
% 2.31/2.44     inference(scs_inference,[],[767,753,705,128,706,176,99,29,31,30,5,34])).
% 2.31/2.44  cnf(804,plain,
% 2.31/2.44     (E(f4(f8(x8041,a1),x8042,x8043),f4(x8041,x8042,x8043))),
% 2.31/2.44     inference(rename_variables,[],[52])).
% 2.31/2.44  cnf(805,plain,
% 2.31/2.44     (~P3(x8051,f8(f8(a2,x8052),f8(a1,a1)))),
% 2.31/2.44     inference(scs_inference,[],[52,53,767,750,753,580,705,608,128,706,176,99,29,31,30,5,34,27,15,13])).
% 2.31/2.44  cnf(806,plain,
% 2.31/2.44     (E(f8(x8061,f8(x8062,a1)),f8(x8061,x8062))),
% 2.31/2.44     inference(rename_variables,[],[53])).
% 2.31/2.44  cnf(807,plain,
% 2.31/2.44     (P3(f4(a7,a1,a1),f8(a7,a1))),
% 2.31/2.44     inference(scs_inference,[],[52,804,53,767,750,689,753,580,705,608,128,706,176,99,29,31,30,5,34,27,15,13,12])).
% 2.31/2.44  cnf(809,plain,
% 2.31/2.44     (~E(f8(f8(a1,a1),x8091),f8(a7,a1))),
% 2.31/2.44     inference(scs_inference,[],[52,804,53,767,750,689,753,580,705,608,128,706,176,99,29,31,30,5,34,27,15,13,12,2])).
% 2.31/2.44  cnf(810,plain,
% 2.31/2.44     (P2(f4(x8101,x8102,x8103),f4(f8(x8101,a1),x8102,f8(x8103,a1)))),
% 2.31/2.44     inference(scs_inference,[],[50,52,804,53,767,750,689,765,753,580,705,608,128,706,176,99,29,31,30,5,34,27,15,13,12,2,14])).
% 2.31/2.44  cnf(813,plain,
% 2.31/2.44     (~E(f8(a1,a1),f8(f8(a7,a1),f8(a9,a1)))),
% 2.31/2.44     inference(scs_inference,[],[50,52,804,53,767,750,774,689,765,753,580,705,608,128,706,212,176,99,29,31,30,5,34,27,15,13,12,2,14,11])).
% 2.31/2.44  cnf(814,plain,
% 2.31/2.44     (~E(f8(a7,a9),f8(a5,f8(a9,a1)))),
% 2.31/2.44     inference(scs_inference,[],[43,50,52,804,53,806,767,750,774,689,765,753,580,705,608,128,706,212,176,99,29,31,30,5,34,27,15,13,12,2,14,11,3])).
% 2.31/2.44  cnf(823,plain,
% 2.31/2.44     (E(f8(x8231,a1),f8(x8231,f8(a1,x8232)))),
% 2.31/2.44     inference(rename_variables,[],[730])).
% 2.31/2.44  cnf(839,plain,
% 2.31/2.44     (E(f8(f8(x8391,a1),x8392),f8(x8391,x8392))),
% 2.31/2.44     inference(rename_variables,[],[54])).
% 2.31/2.44  cnf(854,plain,
% 2.31/2.44     (~P1(f8(a9,a1))),
% 2.31/2.44     inference(scs_inference,[],[49,54,839,789,809,756,797,736,776,110,260,452,730,823,334,695,680,772,661,221,590,367,127,437,99,32,29,31,30,27,15,13,12,2,14,11,3,8,7,10,6,9,4,26])).
% 2.31/2.44  cnf(857,plain,
% 2.31/2.44     (~P3(x8571,f8(f8(a2,x8572),f8(a1,a1)))),
% 2.31/2.44     inference(rename_variables,[],[805])).
% 2.31/2.44  cnf(866,plain,
% 2.31/2.44     (P2(f4(x8661,a1,x8662),f4(f8(x8661,a1),f8(a2,x8663),f8(x8662,a1)))),
% 2.31/2.44     inference(scs_inference,[],[684,805,810,709,189,225,38,29,31,30,27,15])).
% 2.31/2.44  cnf(869,plain,
% 2.31/2.44     (~E(f8(a7,a1),f8(f8(a2,x8691),f8(a1,a1)))),
% 2.31/2.44     inference(scs_inference,[],[684,805,857,810,709,189,225,38,29,31,30,27,15,13])).
% 2.31/2.44  cnf(875,plain,
% 2.31/2.44     (E(f8(f8(x8751,a1),x8752),f8(x8751,x8752))),
% 2.31/2.44     inference(rename_variables,[],[54])).
% 2.31/2.44  cnf(877,plain,
% 2.31/2.44     (E(f8(x8771,f8(x8772,a1)),f8(x8771,x8772))),
% 2.31/2.44     inference(rename_variables,[],[53])).
% 2.31/2.44  cnf(878,plain,
% 2.31/2.44     (E(f8(f8(x8781,a1),f8(x8782,a1)),f8(x8781,x8782))),
% 2.31/2.44     inference(scs_inference,[],[49,54,875,53,877,854,684,814,805,857,810,709,189,485,614,225,38,29,31,30,27,15,13,12,2,14,11,3])).
% 2.31/2.44  cnf(883,plain,
% 2.31/2.44     (~P3(f4(a7,a1,a5),a5)),
% 2.31/2.44     inference(scs_inference,[],[49,54,875,53,877,854,684,814,805,857,810,709,717,189,485,614,225,38,29,31,30,27,15,13,12,2,14,11,3,36,64])).
% 2.31/2.44  cnf(912,plain,
% 2.31/2.44     (E(f8(x9121,x9122),f8(f8(x9121,a1),f8(x9122,a1)))),
% 2.31/2.44     inference(scs_inference,[],[55,50,883,807,813,869,697,878,796,866,130,789,759,457,99,20,38,35,32,29,31,30,5,34,27,15,13,12,2])).
% 2.31/2.44  cnf(1165,plain,
% 2.31/2.44     ($false),
% 2.31/2.44     inference(scs_inference,[],[74,912,789,31]),
% 2.31/2.44     ['proof']).
% 2.31/2.44  % SZS output end Proof
% 2.31/2.44  % Total time :1.760000s
%------------------------------------------------------------------------------