TSTP Solution File: SEU153+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SEU153+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 : n023.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 16:17:56 EDT 2023

% Result   : Theorem 1.08s 1.19s
% Output   : CNFRefutation 1.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEU153+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Wed Aug 23 13:00:13 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.19/0.56  start to proof:theBenchmark
% 1.08/1.18  %-------------------------------------------
% 1.08/1.18  % File        :CSE---1.6
% 1.08/1.18  % Problem     :theBenchmark
% 1.08/1.18  % Transform   :cnf
% 1.08/1.18  % Format      :tptp:raw
% 1.08/1.18  % Command     :java -jar mcs_scs.jar %d %s
% 1.08/1.18  
% 1.08/1.18  % Result      :Theorem 0.570000s
% 1.08/1.18  % Output      :CNFRefutation 0.570000s
% 1.08/1.18  %-------------------------------------------
% 1.08/1.18  %------------------------------------------------------------------------------
% 1.08/1.18  % File     : SEU153+1 : TPTP v8.1.2. Released v3.3.0.
% 1.08/1.18  % Domain   : Set theory
% 1.08/1.18  % Problem  : MPTP bushy problem l25_zfmisc_1
% 1.08/1.18  % Version  : [Urb07] axioms : Especial.
% 1.08/1.18  % English  :
% 1.08/1.18  
% 1.08/1.18  % Refs     : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 1.08/1.18  %          : [Urb07] Urban (2006), Email to G. Sutcliffe
% 1.08/1.18  % Source   : [Urb07]
% 1.08/1.18  % Names    : bushy-l25_zfmisc_1 [Urb07]
% 1.08/1.18  
% 1.08/1.18  % Status   : Theorem
% 1.08/1.18  % Rating   : 0.17 v7.5.0, 0.19 v7.4.0, 0.03 v7.3.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.17 v6.2.0, 0.24 v6.1.0, 0.33 v6.0.0, 0.30 v5.5.0, 0.26 v5.4.0, 0.29 v5.3.0, 0.33 v5.2.0, 0.15 v5.1.0, 0.14 v5.0.0, 0.17 v4.0.1, 0.22 v4.0.0, 0.25 v3.7.0, 0.20 v3.5.0, 0.21 v3.3.0
% 1.08/1.18  % Syntax   : Number of formulae    :   15 (   8 unt;   0 def)
% 1.08/1.18  %            Number of atoms       :   25 (   7 equ)
% 1.08/1.18  %            Maximal formula atoms :    4 (   1 avg)
% 1.08/1.18  %            Number of connectives :   14 (   4   ~;   0   |;   2   &)
% 1.08/1.18  %                                         (   6 <=>;   2  =>;   0  <=;   0 <~>)
% 1.08/1.18  %            Maximal formula depth :    8 (   3 avg)
% 1.08/1.18  %            Maximal term depth    :    2 (   1 avg)
% 1.08/1.18  %            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
% 1.08/1.18  %            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
% 1.08/1.18  %            Number of variables   :   23 (  21   !;   2   ?)
% 1.08/1.18  % SPC      : FOF_THM_RFO_SEQ
% 1.08/1.18  
% 1.08/1.18  % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 1.08/1.18  %            library, www.mizar.org
% 1.08/1.18  %------------------------------------------------------------------------------
% 1.08/1.19  fof(antisymmetry_r2_hidden,axiom,
% 1.08/1.19      ! [A,B] :
% 1.08/1.19        ( in(A,B)
% 1.08/1.19       => ~ in(B,A) ) ).
% 1.08/1.19  
% 1.08/1.19  fof(commutativity_k3_xboole_0,axiom,
% 1.08/1.19      ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
% 1.08/1.19  
% 1.08/1.19  fof(d1_tarski,axiom,
% 1.08/1.19      ! [A,B] :
% 1.08/1.19        ( B = singleton(A)
% 1.08/1.19      <=> ! [C] :
% 1.08/1.19            ( in(C,B)
% 1.08/1.19          <=> C = A ) ) ).
% 1.08/1.19  
% 1.08/1.19  fof(d1_xboole_0,axiom,
% 1.08/1.19      ! [A] :
% 1.08/1.19        ( A = empty_set
% 1.08/1.19      <=> ! [B] : ~ in(B,A) ) ).
% 1.08/1.19  
% 1.08/1.19  fof(d3_xboole_0,axiom,
% 1.08/1.19      ! [A,B,C] :
% 1.08/1.19        ( C = set_intersection2(A,B)
% 1.08/1.19      <=> ! [D] :
% 1.08/1.19            ( in(D,C)
% 1.08/1.19          <=> ( in(D,A)
% 1.08/1.19              & in(D,B) ) ) ) ).
% 1.08/1.19  
% 1.08/1.19  fof(d7_xboole_0,axiom,
% 1.08/1.19      ! [A,B] :
% 1.08/1.19        ( disjoint(A,B)
% 1.08/1.19      <=> set_intersection2(A,B) = empty_set ) ).
% 1.08/1.19  
% 1.08/1.19  fof(dt_k1_tarski,axiom,
% 1.08/1.19      $true ).
% 1.08/1.19  
% 1.08/1.19  fof(dt_k1_xboole_0,axiom,
% 1.08/1.19      $true ).
% 1.08/1.19  
% 1.08/1.19  fof(dt_k3_xboole_0,axiom,
% 1.08/1.19      $true ).
% 1.08/1.19  
% 1.08/1.19  fof(fc1_xboole_0,axiom,
% 1.08/1.19      empty(empty_set) ).
% 1.08/1.19  
% 1.08/1.19  fof(idempotence_k3_xboole_0,axiom,
% 1.08/1.19      ! [A,B] : set_intersection2(A,A) = A ).
% 1.08/1.19  
% 1.08/1.19  fof(l25_zfmisc_1,conjecture,
% 1.08/1.19      ! [A,B] :
% 1.08/1.19        ~ ( disjoint(singleton(A),B)
% 1.08/1.19          & in(A,B) ) ).
% 1.08/1.19  
% 1.08/1.19  fof(rc1_xboole_0,axiom,
% 1.08/1.19      ? [A] : empty(A) ).
% 1.08/1.19  
% 1.08/1.19  fof(rc2_xboole_0,axiom,
% 1.08/1.19      ? [A] : ~ empty(A) ).
% 1.08/1.19  
% 1.08/1.19  fof(symmetry_r1_xboole_0,axiom,
% 1.08/1.19      ! [A,B] :
% 1.08/1.19        ( disjoint(A,B)
% 1.08/1.19       => disjoint(B,A) ) ).
% 1.08/1.19  
% 1.08/1.19  %------------------------------------------------------------------------------
% 1.08/1.19  %-------------------------------------------
% 1.08/1.19  % Proof found
% 1.08/1.19  % SZS status Theorem for theBenchmark
% 1.08/1.19  % SZS output start Proof
% 1.08/1.19  %ClaNum:40(EqnAxiom:17)
% 1.08/1.19  %VarNum:117(SingletonVarNum:45)
% 1.08/1.19  %MaxLitNum:4
% 1.08/1.19  %MaxfuncDepth:1
% 1.08/1.19  %SharedTerms:11
% 1.08/1.19  %goalClause: 20 22
% 1.08/1.19  %singleGoalClaCount:2
% 1.08/1.19  [18]P1(a1)
% 1.08/1.19  [19]P1(a2)
% 1.08/1.19  [20]P3(a3,a7)
% 1.08/1.19  [24]~P1(a9)
% 1.08/1.19  [22]P2(f10(a3),a7)
% 1.08/1.19  [21]E(f8(x211,x211),x211)
% 1.08/1.19  [23]E(f8(x231,x232),f8(x232,x231))
% 1.08/1.19  [25]P3(f4(x251),x251)+E(x251,a1)
% 1.08/1.19  [26]~P3(x262,x261)+~E(x261,a1)
% 1.08/1.19  [31]~P2(x312,x311)+P2(x311,x312)
% 1.08/1.19  [32]~P3(x322,x321)+~P3(x321,x322)
% 1.08/1.19  [29]~P2(x291,x292)+E(f8(x291,x292),a1)
% 1.08/1.19  [30]P2(x301,x302)+~E(f8(x301,x302),a1)
% 1.08/1.19  [33]E(f5(x332,x331),x332)+P3(f5(x332,x331),x331)+E(x331,f10(x332))
% 1.08/1.19  [37]~E(f5(x372,x371),x372)+~P3(f5(x372,x371),x371)+E(x371,f10(x372))
% 1.08/1.19  [27]P3(x271,x272)+~E(x271,x273)+~E(x272,f10(x273))
% 1.08/1.19  [28]~P3(x281,x283)+E(x281,x282)+~E(x283,f10(x282))
% 1.08/1.19  [38]P3(f6(x382,x383,x381),x381)+P3(f6(x382,x383,x381),x383)+E(x381,f8(x382,x383))
% 1.08/1.19  [39]P3(f6(x392,x393,x391),x391)+P3(f6(x392,x393,x391),x392)+E(x391,f8(x392,x393))
% 1.08/1.19  [34]~P3(x341,x343)+P3(x341,x342)+~E(x343,f8(x344,x342))
% 1.08/1.19  [35]~P3(x351,x353)+P3(x351,x352)+~E(x353,f8(x352,x354))
% 1.08/1.19  [40]~P3(f6(x402,x403,x401),x401)+~P3(f6(x402,x403,x401),x403)+~P3(f6(x402,x403,x401),x402)+E(x401,f8(x402,x403))
% 1.08/1.19  [36]~P3(x361,x364)+~P3(x361,x363)+P3(x361,x362)+~E(x362,f8(x363,x364))
% 1.08/1.19  %EqnAxiom
% 1.08/1.19  [1]E(x11,x11)
% 1.08/1.19  [2]E(x22,x21)+~E(x21,x22)
% 1.08/1.19  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.08/1.19  [4]~E(x41,x42)+E(f8(x41,x43),f8(x42,x43))
% 1.08/1.19  [5]~E(x51,x52)+E(f8(x53,x51),f8(x53,x52))
% 1.08/1.19  [6]~E(x61,x62)+E(f10(x61),f10(x62))
% 1.08/1.19  [7]~E(x71,x72)+E(f6(x71,x73,x74),f6(x72,x73,x74))
% 1.08/1.19  [8]~E(x81,x82)+E(f6(x83,x81,x84),f6(x83,x82,x84))
% 1.08/1.19  [9]~E(x91,x92)+E(f6(x93,x94,x91),f6(x93,x94,x92))
% 1.08/1.19  [10]~E(x101,x102)+E(f5(x101,x103),f5(x102,x103))
% 1.08/1.19  [11]~E(x111,x112)+E(f5(x113,x111),f5(x113,x112))
% 1.08/1.19  [12]~E(x121,x122)+E(f4(x121),f4(x122))
% 1.08/1.19  [13]~P1(x131)+P1(x132)+~E(x131,x132)
% 1.08/1.19  [14]P3(x142,x143)+~E(x141,x142)+~P3(x141,x143)
% 1.08/1.19  [15]P3(x153,x152)+~E(x151,x152)+~P3(x153,x151)
% 1.08/1.19  [16]P2(x162,x163)+~E(x161,x162)+~P2(x161,x163)
% 1.08/1.19  [17]P2(x173,x172)+~E(x171,x172)+~P2(x173,x171)
% 1.08/1.19  
% 1.08/1.19  %-------------------------------------------
% 1.08/1.19  cnf(41,plain,
% 1.08/1.19     (E(x411,f8(x411,x411))),
% 1.08/1.19     inference(scs_inference,[],[21,2])).
% 1.08/1.19  cnf(42,plain,
% 1.08/1.19     (~P3(a7,a3)),
% 1.08/1.19     inference(scs_inference,[],[20,21,2,32])).
% 1.08/1.19  cnf(44,plain,
% 1.08/1.19     (~P3(x441,f8(a1,a1))),
% 1.08/1.19     inference(scs_inference,[],[20,21,2,32,26])).
% 1.08/1.19  cnf(45,plain,
% 1.08/1.19     (E(f8(x451,x451),x451)),
% 1.08/1.19     inference(rename_variables,[],[21])).
% 1.08/1.19  cnf(48,plain,
% 1.08/1.19     (E(f8(x481,x481),x481)),
% 1.08/1.19     inference(rename_variables,[],[21])).
% 1.08/1.19  cnf(50,plain,
% 1.08/1.19     (P2(a1,f8(a1,a1))),
% 1.08/1.19     inference(scs_inference,[],[20,21,45,2,32,26,30,17])).
% 1.08/1.19  cnf(51,plain,
% 1.08/1.19     (P2(f8(a1,a1),a1)),
% 1.08/1.19     inference(scs_inference,[],[20,21,45,2,32,26,30,17,16])).
% 1.08/1.19  cnf(52,plain,
% 1.08/1.19     (~E(a7,f8(a1,a1))),
% 1.08/1.19     inference(scs_inference,[],[20,21,45,2,32,26,30,17,16,15])).
% 1.08/1.19  cnf(53,plain,
% 1.08/1.19     (~P1(f8(a9,a9))),
% 1.08/1.19     inference(scs_inference,[],[20,24,21,45,48,2,32,26,30,17,16,15,13])).
% 1.08/1.19  cnf(54,plain,
% 1.08/1.19     (E(f8(x541,x541),x541)),
% 1.08/1.19     inference(rename_variables,[],[21])).
% 1.08/1.19  cnf(55,plain,
% 1.08/1.19     (~E(a7,f8(f8(a1,a1),f8(a1,a1)))),
% 1.08/1.19     inference(scs_inference,[],[20,24,21,45,48,54,2,32,26,30,17,16,15,13,3])).
% 1.08/1.19  cnf(56,plain,
% 1.08/1.19     (E(f8(x561,x561),x561)),
% 1.08/1.19     inference(rename_variables,[],[21])).
% 1.08/1.19  cnf(57,plain,
% 1.08/1.19     (~P3(a7,f8(f8(a3,x571),f8(a3,x571)))),
% 1.08/1.19     inference(scs_inference,[],[20,24,21,45,48,54,56,2,32,26,30,17,16,15,13,3,35])).
% 1.08/1.19  cnf(58,plain,
% 1.08/1.19     (E(f8(x581,x581),x581)),
% 1.08/1.19     inference(rename_variables,[],[21])).
% 1.08/1.19  cnf(61,plain,
% 1.08/1.19     (E(f8(x611,x611),x611)),
% 1.08/1.19     inference(rename_variables,[],[21])).
% 1.08/1.19  cnf(63,plain,
% 1.08/1.19     (P3(a3,f8(f8(a7,a7),f8(a7,a7)))),
% 1.08/1.19     inference(scs_inference,[],[20,24,21,45,48,54,56,58,61,2,32,26,30,17,16,15,13,3,35,34,36])).
% 1.08/1.19  cnf(64,plain,
% 1.08/1.19     (E(f8(x641,x641),x641)),
% 1.08/1.19     inference(rename_variables,[],[21])).
% 1.08/1.19  cnf(66,plain,
% 1.08/1.19     (P2(a7,f10(a3))),
% 1.08/1.19     inference(scs_inference,[],[20,24,22,21,45,48,54,56,58,61,2,32,26,30,17,16,15,13,3,35,34,36,31])).
% 1.08/1.19  cnf(68,plain,
% 1.08/1.19     (E(f4(f8(x681,x681)),f4(x681))),
% 1.08/1.19     inference(scs_inference,[],[20,24,22,21,45,48,54,56,58,61,64,2,32,26,30,17,16,15,13,3,35,34,36,31,12])).
% 1.08/1.19  cnf(69,plain,
% 1.08/1.19     (E(f5(x691,f8(x692,x692)),f5(x691,x692))),
% 1.08/1.19     inference(scs_inference,[],[20,24,22,21,45,48,54,56,58,61,64,2,32,26,30,17,16,15,13,3,35,34,36,31,12,11])).
% 1.08/1.19  cnf(71,plain,
% 1.08/1.19     (E(f6(x711,x712,f8(x713,x713)),f6(x711,x712,x713))),
% 1.08/1.19     inference(scs_inference,[],[20,24,22,21,45,48,54,56,58,61,64,2,32,26,30,17,16,15,13,3,35,34,36,31,12,11,10,9])).
% 1.08/1.19  cnf(74,plain,
% 1.08/1.19     (E(f10(f8(x741,x741)),f10(x741))),
% 1.08/1.19     inference(scs_inference,[],[20,24,22,21,45,48,54,56,58,61,64,2,32,26,30,17,16,15,13,3,35,34,36,31,12,11,10,9,8,7,6])).
% 1.08/1.19  cnf(75,plain,
% 1.08/1.19     (E(f8(x751,f8(x752,x752)),f8(x751,x752))),
% 1.08/1.20     inference(scs_inference,[],[20,24,22,21,45,48,54,56,58,61,64,2,32,26,30,17,16,15,13,3,35,34,36,31,12,11,10,9,8,7,6,5])).
% 1.08/1.20  cnf(76,plain,
% 1.08/1.20     (E(f8(f8(x761,x761),x762),f8(x761,x762))),
% 1.08/1.20     inference(scs_inference,[],[20,24,22,21,45,48,54,56,58,61,64,2,32,26,30,17,16,15,13,3,35,34,36,31,12,11,10,9,8,7,6,5,4])).
% 1.08/1.20  cnf(77,plain,
% 1.08/1.20     (E(f8(f10(a3),a7),a1)),
% 1.08/1.20     inference(scs_inference,[],[20,24,22,21,45,48,54,56,58,61,64,2,32,26,30,17,16,15,13,3,35,34,36,31,12,11,10,9,8,7,6,5,4,29])).
% 1.08/1.20  cnf(79,plain,
% 1.08/1.20     (~P3(f8(a7,a7),a3)),
% 1.08/1.20     inference(scs_inference,[],[20,24,22,21,45,48,54,56,58,61,64,2,32,26,30,17,16,15,13,3,35,34,36,31,12,11,10,9,8,7,6,5,4,29,14])).
% 1.08/1.20  cnf(81,plain,
% 1.08/1.20     (E(a3,x811)+~E(a7,f10(x811))),
% 1.08/1.20     inference(scs_inference,[],[20,24,22,21,45,48,54,56,58,61,64,2,32,26,30,17,16,15,13,3,35,34,36,31,12,11,10,9,8,7,6,5,4,29,14,28])).
% 1.08/1.20  cnf(87,plain,
% 1.08/1.20     (P3(f6(f8(a1,a1),f8(a1,a1),a7),a7)),
% 1.08/1.20     inference(scs_inference,[],[44,55,39])).
% 1.08/1.20  cnf(88,plain,
% 1.08/1.20     (~P3(x881,f8(a1,a1))),
% 1.08/1.20     inference(rename_variables,[],[44])).
% 1.08/1.20  cnf(90,plain,
% 1.08/1.20     (~P3(f8(f8(a7,a7),f8(a7,a7)),a3)),
% 1.08/1.20     inference(scs_inference,[],[44,55,63,39,32])).
% 1.08/1.20  cnf(92,plain,
% 1.08/1.20     (~E(a7,a1)),
% 1.08/1.20     inference(scs_inference,[],[20,44,55,63,39,32,26])).
% 1.08/1.20  cnf(94,plain,
% 1.08/1.20     (P3(f8(x941,x941),f10(f8(x941,x941)))),
% 1.08/1.20     inference(scs_inference,[],[20,21,74,44,55,63,39,32,26,27])).
% 1.08/1.20  cnf(95,plain,
% 1.08/1.20     (E(f8(x951,x951),x951)),
% 1.08/1.20     inference(rename_variables,[],[21])).
% 1.08/1.20  cnf(97,plain,
% 1.08/1.20     (~E(a7,f8(f8(a1,a1),x971))),
% 1.08/1.20     inference(scs_inference,[],[20,21,74,44,88,55,63,39,32,26,27,35])).
% 1.08/1.20  cnf(98,plain,
% 1.08/1.20     (~P3(x981,f8(a1,a1))),
% 1.08/1.20     inference(rename_variables,[],[44])).
% 1.08/1.20  cnf(101,plain,
% 1.08/1.20     (~P3(x1011,f8(a1,a1))),
% 1.08/1.20     inference(rename_variables,[],[44])).
% 1.08/1.20  cnf(104,plain,
% 1.08/1.20     (E(f8(x1041,x1041),x1041)),
% 1.08/1.20     inference(rename_variables,[],[21])).
% 1.08/1.20  cnf(106,plain,
% 1.08/1.20     (~E(f8(a1,a1),f8(a7,a7))),
% 1.08/1.20     inference(scs_inference,[],[20,21,95,74,44,88,98,101,55,63,39,32,26,27,35,34,28,36])).
% 1.08/1.20  cnf(107,plain,
% 1.08/1.20     (~P3(x1071,f8(a1,a1))),
% 1.08/1.20     inference(rename_variables,[],[44])).
% 1.08/1.20  cnf(111,plain,
% 1.08/1.20     (E(f8(x1111,x1111),x1111)),
% 1.08/1.20     inference(rename_variables,[],[21])).
% 1.08/1.20  cnf(112,plain,
% 1.08/1.20     (P3(x1121,f10(f8(x1121,x1121)))),
% 1.08/1.20     inference(scs_inference,[],[20,21,95,104,111,74,42,44,88,98,101,55,63,39,32,26,27,35,34,28,36,2,15,14])).
% 1.08/1.20  cnf(114,plain,
% 1.08/1.20     (~E(a1,a9)),
% 1.08/1.20     inference(scs_inference,[],[20,18,24,21,95,104,111,74,42,44,88,98,101,55,63,39,32,26,27,35,34,28,36,2,15,14,13])).
% 1.08/1.20  cnf(115,plain,
% 1.08/1.20     (~E(f8(a7,a7),f8(f8(a1,a1),f8(a1,a1)))),
% 1.08/1.20     inference(scs_inference,[],[20,18,24,21,95,104,111,41,74,42,44,88,98,101,55,63,39,32,26,27,35,34,28,36,2,15,14,13,3])).
% 1.08/1.20  cnf(116,plain,
% 1.08/1.20     (E(x1161,f8(x1161,x1161))),
% 1.08/1.20     inference(rename_variables,[],[41])).
% 1.08/1.20  cnf(117,plain,
% 1.08/1.20     (E(f8(a1,a1),f10(x1171))+E(f5(x1171,f8(a1,a1)),x1171)),
% 1.08/1.20     inference(scs_inference,[],[20,18,24,21,95,104,111,41,74,42,44,88,98,101,107,55,63,39,32,26,27,35,34,28,36,2,15,14,13,3,33])).
% 1.08/1.20  cnf(118,plain,
% 1.08/1.20     (~P3(x1181,f8(a1,a1))),
% 1.08/1.20     inference(rename_variables,[],[44])).
% 1.08/1.20  cnf(124,plain,
% 1.08/1.20     (P2(f10(a3),f8(a7,a7))),
% 1.08/1.20     inference(scs_inference,[],[20,18,24,22,21,95,104,111,41,116,74,42,44,88,98,101,107,118,55,63,39,32,26,27,35,34,28,36,2,15,14,13,3,33,38,17])).
% 1.08/1.20  cnf(125,plain,
% 1.08/1.20     (E(x1251,f8(x1251,x1251))),
% 1.08/1.20     inference(rename_variables,[],[41])).
% 1.08/1.20  cnf(126,plain,
% 1.08/1.20     (P2(f8(f10(a3),f10(a3)),a7)),
% 1.08/1.20     inference(scs_inference,[],[20,18,24,22,21,95,104,111,41,116,125,74,42,44,88,98,101,107,118,55,63,39,32,26,27,35,34,28,36,2,15,14,13,3,33,38,17,16])).
% 1.08/1.20  cnf(128,plain,
% 1.08/1.20     (P3(f6(a7,a7,f8(a1,a1)),a7)),
% 1.08/1.20     inference(scs_inference,[],[106,44,38])).
% 1.08/1.20  cnf(129,plain,
% 1.08/1.20     (~P3(x1291,f8(a1,a1))),
% 1.08/1.20     inference(rename_variables,[],[44])).
% 1.08/1.20  cnf(131,plain,
% 1.08/1.20     (~P3(x1311,f8(f10(a3),a7))),
% 1.08/1.20     inference(scs_inference,[],[106,77,44,38,26])).
% 1.08/1.20  cnf(137,plain,
% 1.08/1.20     (~P3(f10(f8(x1371,x1371)),f8(x1371,x1371))),
% 1.08/1.20     inference(scs_inference,[],[94,106,77,44,129,38,26,39,32])).
% 1.08/1.20  cnf(140,plain,
% 1.08/1.20     (E(f8(x1401,x1402),f8(x1402,x1401))),
% 1.08/1.20     inference(rename_variables,[],[23])).
% 1.08/1.20  cnf(143,plain,
% 1.08/1.20     (E(f8(x1431,x1432),f8(x1432,x1431))),
% 1.08/1.20     inference(rename_variables,[],[23])).
% 1.08/1.20  cnf(145,plain,
% 1.08/1.20     (E(f8(f8(x1451,x1452),f8(x1451,x1452)),f8(x1452,x1451))),
% 1.08/1.20     inference(scs_inference,[],[23,140,143,21,94,106,79,77,44,129,38,26,39,32,35,34,3])).
% 1.08/1.20  cnf(146,plain,
% 1.08/1.20     (E(f8(x1461,x1461),x1461)),
% 1.08/1.20     inference(rename_variables,[],[21])).
% 1.08/1.20  cnf(147,plain,
% 1.08/1.20     (E(f4(x1471),f4(f8(x1471,x1471)))),
% 1.08/1.20     inference(scs_inference,[],[23,140,143,21,94,68,106,79,77,44,129,38,26,39,32,35,34,3,2])).
% 1.08/1.20  cnf(148,plain,
% 1.08/1.20     (P3(a3,f8(a7,a7))),
% 1.08/1.20     inference(scs_inference,[],[23,140,143,21,146,94,68,106,79,77,44,129,63,38,26,39,32,35,34,3,2,15])).
% 1.08/1.20  cnf(150,plain,
% 1.08/1.20     (P3(f8(a3,a3),a7)),
% 1.08/1.20     inference(scs_inference,[],[23,140,143,41,21,146,94,68,106,79,77,44,129,63,20,38,26,39,32,35,34,3,2,15,14])).
% 1.08/1.20  cnf(157,plain,
% 1.08/1.20     (~E(f8(a7,a7),a1)),
% 1.08/1.20     inference(scs_inference,[],[87,148,32,26])).
% 1.08/1.20  cnf(159,plain,
% 1.08/1.20     (P3(f6(f8(a1,a1),f8(a1,a1),f8(a7,a7)),f8(a7,a7))),
% 1.08/1.20     inference(scs_inference,[],[115,87,148,44,32,26,38])).
% 1.08/1.20  cnf(162,plain,
% 1.08/1.20     (~P3(f6(f8(a1,a1),f8(a1,a1),a7),f10(a3))),
% 1.08/1.20     inference(scs_inference,[],[23,115,131,87,148,44,32,26,38,36])).
% 1.08/1.20  cnf(163,plain,
% 1.08/1.20     (~P3(x1631,f8(f10(a3),a7))),
% 1.08/1.20     inference(rename_variables,[],[131])).
% 1.08/1.20  cnf(166,plain,
% 1.08/1.20     (~E(f8(a7,a7),f8(a1,a1))),
% 1.08/1.20     inference(scs_inference,[],[23,41,115,131,87,148,44,32,26,38,36,3])).
% 1.08/1.20  cnf(173,plain,
% 1.08/1.20     (~P2(a7,a7)),
% 1.08/1.20     inference(scs_inference,[],[23,41,21,115,131,163,87,148,57,44,32,26,38,36,3,15,14,2,29])).
% 1.08/1.20  cnf(175,plain,
% 1.08/1.20     (~E(f10(a3),a7)),
% 1.08/1.20     inference(scs_inference,[],[23,41,21,115,131,163,87,148,57,66,44,32,26,38,36,3,15,14,2,29,17])).
% 1.08/1.20  cnf(184,plain,
% 1.08/1.20     (~P3(x1841,f8(f10(a3),f8(a7,a7)))),
% 1.08/1.20     inference(scs_inference,[],[124,29,26])).
% 1.08/1.20  cnf(186,plain,
% 1.08/1.20     (~P3(f8(a7,a7),f6(f8(a1,a1),f8(a1,a1),f8(a7,a7)))),
% 1.08/1.20     inference(scs_inference,[],[159,124,29,26,32])).
% 1.08/1.20  cnf(189,plain,
% 1.08/1.20     (P3(f6(a7,a7,f8(a1,a1)),f8(a7,a7))),
% 1.08/1.20     inference(scs_inference,[],[23,159,128,124,126,173,29,26,32,16,36])).
% 1.08/1.20  cnf(190,plain,
% 1.08/1.20     (E(f8(x1901,x1902),f8(x1902,x1901))),
% 1.08/1.20     inference(rename_variables,[],[23])).
% 1.08/1.20  cnf(192,plain,
% 1.08/1.20     (P3(f6(f8(a1,a1),f8(a1,a1),f8(a7,a7)),a7)),
% 1.08/1.20     inference(scs_inference,[],[23,190,159,128,124,126,173,29,26,32,16,36,35])).
% 1.08/1.20  cnf(195,plain,
% 1.08/1.20     (P2(f8(a1,a1),f8(a1,a1))),
% 1.08/1.20     inference(scs_inference,[],[23,190,41,159,128,124,51,126,173,29,26,32,16,36,35,17])).
% 1.08/1.20  cnf(197,plain,
% 1.08/1.20     (E(f8(x1971,x1971),x1971)),
% 1.08/1.20     inference(rename_variables,[],[21])).
% 1.08/1.20  cnf(198,plain,
% 1.08/1.20     (~P3(f8(f8(a7,a7),f8(a7,a7)),f8(a3,a3))),
% 1.08/1.20     inference(scs_inference,[],[23,190,41,21,197,159,128,175,124,51,126,90,173,29,26,32,16,36,35,17,3,15])).
% 1.08/1.20  cnf(200,plain,
% 1.08/1.20     (E(f8(x2001,x2002),f8(f8(x2002,x2001),f8(x2002,x2001)))),
% 1.08/1.20     inference(scs_inference,[],[23,190,41,21,197,145,159,128,175,124,51,126,90,173,29,26,32,16,36,35,17,3,15,2])).
% 1.08/1.20  cnf(201,plain,
% 1.08/1.20     (P3(f6(f8(a1,a1),f8(a1,a1),a7),f8(a7,a7))),
% 1.08/1.20     inference(scs_inference,[],[23,190,41,21,197,145,71,159,128,175,124,51,126,90,173,29,26,32,16,36,35,17,3,15,2,14])).
% 1.08/1.20  cnf(203,plain,
% 1.08/1.20     (P2(f8(a7,a7),f10(a3))),
% 1.08/1.20     inference(scs_inference,[],[23,190,41,21,197,145,71,159,128,175,124,51,126,90,173,29,26,32,16,36,35,17,3,15,2,14,31])).
% 1.08/1.20  cnf(206,plain,
% 1.08/1.20     (E(x2061,f8(x2061,x2061))),
% 1.08/1.20     inference(rename_variables,[],[41])).
% 1.08/1.20  cnf(207,plain,
% 1.08/1.20     (E(f5(x2071,x2072),f5(f8(x2071,x2071),x2072))),
% 1.08/1.20     inference(scs_inference,[],[23,190,41,206,21,197,145,71,159,128,175,124,51,126,90,173,29,26,32,16,36,35,17,3,15,2,14,31,11,10])).
% 1.08/1.20  cnf(208,plain,
% 1.08/1.20     (E(f6(x2081,x2082,x2083),f6(x2081,x2082,f8(x2083,x2083)))),
% 1.08/1.20     inference(scs_inference,[],[23,190,41,206,21,197,145,71,159,128,175,124,51,126,90,173,29,26,32,16,36,35,17,3,15,2,14,31,11,10,9])).
% 1.08/1.20  cnf(209,plain,
% 1.08/1.20     (E(f10(x2091),f10(f8(x2091,x2091)))),
% 1.08/1.20     inference(scs_inference,[],[23,190,41,206,21,197,145,71,159,128,175,124,51,126,90,173,29,26,32,16,36,35,17,3,15,2,14,31,11,10,9,6])).
% 1.08/1.20  cnf(210,plain,
% 1.08/1.20     (E(f8(x2101,x2102),f8(x2101,f8(x2102,x2102)))),
% 1.08/1.20     inference(scs_inference,[],[23,190,41,206,21,197,145,71,159,128,175,124,51,126,90,173,29,26,32,16,36,35,17,3,15,2,14,31,11,10,9,6,5])).
% 1.08/1.20  cnf(211,plain,
% 1.08/1.20     (E(f8(x2111,x2112),f8(f8(x2111,x2111),x2112))),
% 1.08/1.20     inference(scs_inference,[],[23,190,41,206,21,197,145,71,159,128,175,124,51,126,90,173,29,26,32,16,36,35,17,3,15,2,14,31,11,10,9,6,5,4])).
% 1.08/1.20  cnf(212,plain,
% 1.08/1.20     (~E(f6(f8(a1,a1),f8(a1,a1),a7),f8(a3,a3))),
% 1.08/1.20     inference(scs_inference,[],[23,190,41,206,21,197,145,71,159,128,175,124,162,51,126,90,173,29,26,32,16,36,35,17,3,15,2,14,31,11,10,9,6,5,4,27])).
% 1.08/1.20  cnf(214,plain,
% 1.08/1.20     (P3(f4(a7),a7)),
% 1.08/1.20     inference(scs_inference,[],[23,190,41,206,21,197,145,71,159,92,128,175,124,162,51,126,90,173,29,26,32,16,36,35,17,3,15,2,14,31,11,10,9,6,5,4,27,25])).
% 1.08/1.20  cnf(217,plain,
% 1.08/1.20     (E(x2171,f8(x2171,x2171))),
% 1.08/1.20     inference(rename_variables,[],[41])).
% 1.08/1.20  cnf(218,plain,
% 1.08/1.20     (E(f6(x2181,x2182,x2183),f6(f8(x2181,x2181),x2182,x2183))),
% 1.08/1.20     inference(scs_inference,[],[23,190,41,206,217,21,197,145,71,159,92,128,175,124,162,51,126,90,173,29,26,32,16,36,35,17,3,15,2,14,31,11,10,9,6,5,4,27,25,8,7])).
% 1.08/1.20  cnf(221,plain,
% 1.08/1.20     (~P3(f10(f8(a3,a3)),f8(x2211,a3))),
% 1.08/1.20     inference(scs_inference,[],[23,190,41,206,217,21,197,137,145,71,166,159,92,128,175,124,162,51,126,90,173,29,26,32,16,36,35,17,3,15,2,14,31,11,10,9,6,5,4,27,25,8,7,38,34])).
% 1.08/1.20  cnf(225,plain,
% 1.08/1.20     (E(x2251,f8(x2251,x2251))),
% 1.08/1.20     inference(rename_variables,[],[41])).
% 1.08/1.20  cnf(227,plain,
% 1.08/1.20     (E(x2271,f8(f8(x2271,x2271),f8(x2271,x2271)))),
% 1.08/1.20     inference(scs_inference,[],[42,41,209,112,27,28])).
% 1.08/1.20  cnf(234,plain,
% 1.08/1.20     (~P3(f6(a7,a7,f8(a1,a1)),f10(a3))),
% 1.08/1.20     inference(scs_inference,[],[42,41,209,210,189,112,131,27,28,26,32,36])).
% 1.08/1.20  cnf(235,plain,
% 1.08/1.20     (E(f8(x2351,x2352),f8(x2351,f8(x2352,x2352)))),
% 1.08/1.20     inference(rename_variables,[],[210])).
% 1.08/1.20  cnf(240,plain,
% 1.08/1.20     (P3(x2401,f10(f8(x2401,x2401)))),
% 1.08/1.20     inference(rename_variables,[],[112])).
% 1.08/1.20  cnf(243,plain,
% 1.08/1.20     (E(x2431,f8(x2431,x2431))),
% 1.08/1.20     inference(rename_variables,[],[41])).
% 1.08/1.20  cnf(247,plain,
% 1.08/1.20     (E(f8(x2471,x2472),f8(f8(x2472,x2472),x2471))),
% 1.08/1.20     inference(scs_inference,[],[42,23,41,225,209,210,235,189,203,112,240,131,124,27,28,26,32,36,16,35,17,34,3])).
% 1.08/1.20  cnf(250,plain,
% 1.08/1.20     (~E(f8(a3,a3),f6(f8(a1,a1),f8(a1,a1),a7))),
% 1.08/1.20     inference(scs_inference,[],[42,23,41,225,209,210,235,189,212,203,112,240,131,124,27,28,26,32,36,16,35,17,34,3,2])).
% 1.08/1.20  cnf(251,plain,
% 1.08/1.20     (P3(f8(f4(a7),f4(a7)),a7)),
% 1.08/1.20     inference(scs_inference,[],[42,23,41,225,243,209,210,235,189,212,214,203,112,240,131,124,27,28,26,32,36,16,35,17,34,3,2,14])).
% 1.08/1.20  cnf(252,plain,
% 1.08/1.20     (E(x2521,f8(x2521,x2521))),
% 1.08/1.20     inference(rename_variables,[],[41])).
% 1.08/1.20  cnf(255,plain,
% 1.08/1.20     (P1(f8(a1,a1))),
% 1.08/1.20     inference(scs_inference,[],[18,42,23,41,225,243,252,209,210,235,208,186,189,212,214,203,112,240,131,124,27,28,26,32,36,16,35,17,34,3,2,14,15,13])).
% 1.08/1.20  cnf(264,plain,
% 1.08/1.20     (P3(f8(f8(x2641,x2641),f8(x2641,x2641)),f10(x2641))),
% 1.08/1.20     inference(scs_inference,[],[21,195,201,209,212,29,28,27])).
% 1.08/1.20  cnf(271,plain,
% 1.08/1.20     (~E(f8(a1,a1),f8(f8(a7,a7),f8(a7,a7)))),
% 1.08/1.20     inference(scs_inference,[],[44,21,195,201,192,209,212,29,28,27,26,32,36])).
% 1.08/1.20  cnf(272,plain,
% 1.08/1.20     (~P3(x2721,f8(a1,a1))),
% 1.08/1.20     inference(rename_variables,[],[44])).
% 1.08/1.20  cnf(274,plain,
% 1.08/1.20     (~E(a2,a9)),
% 1.08/1.20     inference(scs_inference,[],[19,24,44,21,195,201,192,209,212,29,28,27,26,32,36,13])).
% 1.08/1.20  cnf(275,plain,
% 1.08/1.20     (~P3(x2751,f8(x2752,f8(a1,a1)))),
% 1.08/1.20     inference(scs_inference,[],[19,24,44,272,23,21,195,201,192,209,212,29,28,27,26,32,36,13,35])).
% 1.08/1.20  cnf(276,plain,
% 1.08/1.20     (E(f8(x2761,x2762),f8(x2762,x2761))),
% 1.08/1.20     inference(rename_variables,[],[23])).
% 1.08/1.20  cnf(278,plain,
% 1.08/1.20     (P2(f8(f8(a1,a1),f8(a1,a1)),f8(a1,a1))),
% 1.08/1.20     inference(scs_inference,[],[19,24,44,272,23,41,21,195,201,192,209,212,29,28,27,26,32,36,13,35,16])).
% 1.08/1.20  cnf(280,plain,
% 1.08/1.20     (~P3(x2801,f8(f8(a1,a1),x2802))),
% 1.08/1.20     inference(scs_inference,[],[19,24,44,272,23,276,41,21,195,201,192,209,212,29,28,27,26,32,36,13,35,16,34])).
% 1.08/1.20  cnf(283,plain,
% 1.08/1.20     (~E(f8(a3,a3),f6(a1,f8(a1,a1),a7))),
% 1.08/1.20     inference(scs_inference,[],[19,24,44,272,23,276,41,21,218,195,250,201,192,209,212,29,28,27,26,32,36,13,35,16,34,3])).
% 1.08/1.20  cnf(285,plain,
% 1.08/1.20     (~E(f10(f8(x2851,x2851)),f8(a1,a1))),
% 1.08/1.20     inference(scs_inference,[],[19,24,44,272,23,276,41,21,218,195,250,201,192,94,209,212,29,28,27,26,32,36,13,35,16,34,3,15])).
% 1.08/1.20  cnf(287,plain,
% 1.08/1.20     (E(f8(f8(x2871,x2871),f8(x2871,x2871)),x2871)),
% 1.08/1.20     inference(scs_inference,[],[19,24,44,272,23,276,41,21,227,218,195,250,201,192,94,209,212,29,28,27,26,32,36,13,35,16,34,3,15,2])).
% 1.08/1.20  cnf(296,plain,
% 1.08/1.20     (E(f8(x2961,x2961),x2961)),
% 1.08/1.20     inference(rename_variables,[],[21])).
% 1.08/1.20  cnf(298,plain,
% 1.08/1.20     (~E(f6(a7,a7,f8(a1,a1)),f8(a3,a3))),
% 1.08/1.20     inference(scs_inference,[],[21,234,114,209,28,27])).
% 1.08/1.20  cnf(301,plain,
% 1.08/1.20     (~E(f10(x3011),a1)),
% 1.08/1.20     inference(scs_inference,[],[21,264,234,114,209,28,27,26])).
% 1.08/1.20  cnf(303,plain,
% 1.08/1.20     (~P3(f10(x3031),f8(f8(x3031,x3031),f8(x3031,x3031)))),
% 1.08/1.20     inference(scs_inference,[],[21,264,234,114,209,28,27,26,32])).
% 1.08/1.20  cnf(312,plain,
% 1.08/1.20     (~P3(x3121,f8(f8(a7,a7),f10(a3)))),
% 1.08/1.20     inference(scs_inference,[],[23,41,21,264,285,275,184,234,97,114,75,209,28,27,26,32,36,3,2,15])).
% 1.08/1.20  cnf(314,plain,
% 1.08/1.20     (P3(f8(x3141,x3141),f10(x3141))),
% 1.08/1.20     inference(scs_inference,[],[23,41,21,296,264,285,275,184,234,97,114,75,209,28,27,26,32,36,3,2,15,14])).
% 1.08/1.20  cnf(316,plain,
% 1.08/1.20     (E(f5(f8(x3161,x3161),f8(a1,a1)),f8(x3161,x3161))),
% 1.08/1.20     inference(scs_inference,[],[23,41,21,296,264,285,275,184,234,97,114,75,209,28,27,26,32,36,3,2,15,14,117])).
% 1.08/1.20  cnf(318,plain,
% 1.08/1.20     (E(f8(f8(a7,a7),f10(a3)),a1)),
% 1.08/1.20     inference(scs_inference,[],[23,41,21,296,264,285,275,184,234,97,114,75,209,28,27,26,32,36,3,2,15,14,117,25])).
% 1.08/1.20  cnf(320,plain,
% 1.08/1.20     (~P3(a7,f5(f8(a3,a3),f8(a1,a1)))),
% 1.08/1.20     inference(scs_inference,[],[42,23,41,21,296,264,285,275,184,234,97,114,75,209,28,27,26,32,36,3,2,15,14,117,25,35])).
% 1.08/1.20  cnf(322,plain,
% 1.08/1.20     (P3(f4(f10(x3221)),f10(x3221))),
% 1.08/1.20     inference(scs_inference,[],[301,25])).
% 1.08/1.20  cnf(324,plain,
% 1.08/1.20     (~E(f8(a1,a1),f10(x3241))),
% 1.08/1.20     inference(scs_inference,[],[21,44,301,25,27])).
% 1.08/1.20  cnf(325,plain,
% 1.08/1.20     (~P3(x3251,f8(a1,a1))),
% 1.08/1.20     inference(rename_variables,[],[44])).
% 1.08/1.20  cnf(327,plain,
% 1.08/1.20     (~P3(f10(x3271),f8(x3271,x3271))),
% 1.08/1.20     inference(scs_inference,[],[21,44,314,301,25,27,32])).
% 1.08/1.20  cnf(330,plain,
% 1.08/1.20     (E(f8(x3301,x3301),x3301)),
% 1.08/1.20     inference(rename_variables,[],[21])).
% 1.08/1.20  cnf(332,plain,
% 1.08/1.20     (~P1(f8(f8(a9,a9),f8(a9,a9)))),
% 1.08/1.20     inference(scs_inference,[],[21,330,44,314,150,301,53,25,27,32,36,13])).
% 1.08/1.20  cnf(333,plain,
% 1.08/1.20     (~P2(a7,f8(f8(a7,a7),f8(a7,a7)))),
% 1.08/1.20     inference(scs_inference,[],[21,330,44,287,314,150,301,53,173,25,27,32,36,13,17])).
% 1.08/1.20  cnf(334,plain,
% 1.08/1.20     (E(f8(f8(x3341,x3341),f8(x3341,x3341)),x3341)),
% 1.08/1.20     inference(rename_variables,[],[287])).
% 1.08/1.20  cnf(335,plain,
% 1.08/1.20     (~E(f10(x3351),f8(f8(a1,a1),x3352))),
% 1.08/1.20     inference(scs_inference,[],[21,330,44,325,287,314,150,301,53,173,25,27,32,36,13,17,35])).
% 1.08/1.20  cnf(338,plain,
% 1.08/1.20     (P3(f8(a3,a3),f8(a7,a7))),
% 1.08/1.20     inference(scs_inference,[],[21,330,44,325,23,287,314,150,301,53,173,25,27,32,36,13,17,35,34])).
% 1.08/1.20  cnf(341,plain,
% 1.08/1.20     (E(f8(f8(a7,a7),f10(a3)),f8(a1,a1))),
% 1.08/1.20     inference(scs_inference,[],[21,330,44,325,23,41,287,314,150,301,318,53,173,25,27,32,36,13,17,35,34,3])).
% 1.08/1.20  cnf(342,plain,
% 1.08/1.20     (E(x3421,f8(x3421,x3421))),
% 1.08/1.20     inference(rename_variables,[],[41])).
% 1.08/1.20  cnf(343,plain,
% 1.08/1.20     (E(f5(x3431,x3432),f5(x3431,f8(x3432,x3432)))),
% 1.08/1.20     inference(scs_inference,[],[21,330,44,325,23,41,287,314,69,150,301,318,53,173,25,27,32,36,13,17,35,34,3,2])).
% 1.08/1.20  cnf(344,plain,
% 1.08/1.20     (P3(f8(x3441,x3441),f8(f10(x3441),f10(x3441)))),
% 1.08/1.20     inference(scs_inference,[],[21,330,44,325,23,41,342,287,314,69,150,301,318,53,173,25,27,32,36,13,17,35,34,3,2,15])).
% 1.08/1.20  cnf(345,plain,
% 1.08/1.20     (E(x3451,f8(x3451,x3451))),
% 1.08/1.20     inference(rename_variables,[],[41])).
% 1.08/1.20  cnf(348,plain,
% 1.08/1.20     (P2(f8(a1,a1),f8(f8(a1,a1),f8(a1,a1)))),
% 1.08/1.20     inference(scs_inference,[],[21,330,44,325,23,41,342,287,303,314,69,278,150,301,318,53,173,63,25,27,32,36,13,17,35,34,3,2,15,14,31])).
% 1.08/1.20  cnf(350,plain,
% 1.08/1.20     (E(f6(x3501,x3502,x3503),f6(x3501,f8(x3502,x3502),x3503))),
% 1.08/1.20     inference(scs_inference,[],[21,330,44,325,23,41,342,345,287,303,314,69,278,150,301,318,53,173,63,25,27,32,36,13,17,35,34,3,2,15,14,31,8])).
% 1.08/1.20  cnf(359,plain,
% 1.16/1.20     (~P2(f8(a7,a7),f8(a7,a7))),
% 1.16/1.20     inference(scs_inference,[],[21,330,44,325,23,41,342,345,287,334,303,314,69,278,150,301,318,251,53,173,63,25,27,32,36,13,17,35,34,3,2,15,14,31,8,28,26,16,81,29])).
% 1.16/1.20  cnf(361,plain,
% 1.16/1.20     (E(f5(x3611,f8(a1,a1)),x3611)),
% 1.16/1.20     inference(scs_inference,[],[44,324,33])).
% 1.16/1.21  cnf(362,plain,
% 1.16/1.21     (~P3(x3621,f8(a1,a1))),
% 1.16/1.21     inference(rename_variables,[],[44])).
% 1.16/1.21  cnf(365,plain,
% 1.16/1.21     (E(f8(x3651,x3651),x3651)),
% 1.16/1.21     inference(rename_variables,[],[21])).
% 1.16/1.21  cnf(371,plain,
% 1.16/1.21     (~P3(f8(f10(x3711),f10(x3711)),f8(x3711,x3711))),
% 1.16/1.21     inference(scs_inference,[],[21,44,344,324,50,274,33,28,29,26,32])).
% 1.16/1.21  cnf(373,plain,
% 1.16/1.21     (~P3(x3731,a1)),
% 1.16/1.21     inference(scs_inference,[],[21,44,344,324,341,50,312,274,33,28,29,26,32,36])).
% 1.16/1.21  cnf(375,plain,
% 1.16/1.21     (P1(f8(f8(a1,a1),f8(a1,a1)))),
% 1.16/1.21     inference(scs_inference,[],[21,44,41,344,324,255,341,50,312,274,33,28,29,26,32,36,13])).
% 1.16/1.21  cnf(377,plain,
% 1.16/1.21     (P2(a1,f8(f8(a1,a1),f8(a1,a1)))),
% 1.16/1.21     inference(scs_inference,[],[21,365,44,41,344,324,255,348,341,50,312,274,33,28,29,26,32,36,13,16])).
% 1.16/1.21  cnf(378,plain,
% 1.16/1.21     (E(f8(x3781,x3781),x3781)),
% 1.16/1.21     inference(rename_variables,[],[21])).
% 1.16/1.21  cnf(379,plain,
% 1.16/1.21     (~P2(f8(a7,a7),f5(f8(a7,a7),f8(a1,a1)))),
% 1.16/1.21     inference(scs_inference,[],[21,365,44,41,344,359,324,316,255,348,341,50,312,274,33,28,29,26,32,36,13,16,17])).
% 1.16/1.21  cnf(382,plain,
% 1.16/1.21     (E(f8(x3821,x3821),x3821)),
% 1.16/1.21     inference(rename_variables,[],[21])).
% 1.16/1.21  cnf(384,plain,
% 1.16/1.21     (~P3(a7,f8(a3,x3841))),
% 1.16/1.21     inference(scs_inference,[],[21,365,378,42,44,23,41,344,359,324,316,255,348,341,50,312,274,33,28,29,26,32,36,13,16,17,35,34])).
% 1.16/1.21  cnf(385,plain,
% 1.16/1.21     (E(f8(x3851,x3852),f8(x3852,x3851))),
% 1.16/1.21     inference(rename_variables,[],[23])).
% 1.16/1.21  cnf(387,plain,
% 1.16/1.21     (~E(f10(x3871),f8(x3872,f8(a1,a1)))),
% 1.16/1.21     inference(scs_inference,[],[21,365,378,42,44,23,385,41,344,359,335,324,316,255,348,341,50,312,274,33,28,29,26,32,36,13,16,17,35,34,3])).
% 1.16/1.21  cnf(389,plain,
% 1.16/1.21     (~E(f8(f8(a1,a1),x3891),f10(x3892))),
% 1.16/1.21     inference(scs_inference,[],[21,365,378,42,44,23,385,41,344,359,335,324,316,255,348,341,50,312,274,33,28,29,26,32,36,13,16,17,35,34,3,2])).
% 1.16/1.21  cnf(394,plain,
% 1.16/1.21     (~P2(f5(f8(a7,a7),f8(a1,a1)),f8(a7,a7))),
% 1.16/1.21     inference(scs_inference,[],[21,365,378,382,42,44,362,23,385,41,344,359,335,324,316,255,348,341,50,312,320,274,33,28,29,26,32,36,13,16,17,35,34,3,2,15,14,31])).
% 1.16/1.21  cnf(402,plain,
% 1.16/1.21     (E(f8(a1,a1),f8(x4021,a1))),
% 1.16/1.21     inference(scs_inference,[],[44,373,377,31,38])).
% 1.16/1.21  cnf(403,plain,
% 1.16/1.21     (~P3(x4031,a1)),
% 1.16/1.21     inference(rename_variables,[],[373])).
% 1.16/1.21  cnf(404,plain,
% 1.16/1.21     (~P3(x4041,f8(a1,a1))),
% 1.16/1.21     inference(rename_variables,[],[44])).
% 1.16/1.21  cnf(406,plain,
% 1.16/1.21     (P3(f6(f8(a1,a1),f8(a1,a1),f10(x4061)),f10(x4061))),
% 1.16/1.21     inference(scs_inference,[],[44,404,387,373,377,31,38,39])).
% 1.16/1.21  cnf(407,plain,
% 1.16/1.21     (~P3(x4071,f8(a1,a1))),
% 1.16/1.21     inference(rename_variables,[],[44])).
% 1.16/1.21  cnf(410,plain,
% 1.16/1.21     (P3(f4(f8(a7,a7)),f8(a7,a7))),
% 1.16/1.21     inference(scs_inference,[],[44,404,387,373,377,157,31,38,39,25])).
% 1.16/1.21  cnf(412,plain,
% 1.16/1.21     (P3(f8(x4121,x4121),f5(f10(x4121),f8(a1,a1)))),
% 1.16/1.21     inference(scs_inference,[],[44,404,387,361,373,377,157,21,31,38,39,25,27])).
% 1.16/1.21  cnf(413,plain,
% 1.16/1.21     (E(f5(x4131,f8(a1,a1)),x4131)),
% 1.16/1.21     inference(rename_variables,[],[361])).
% 1.16/1.21  cnf(415,plain,
% 1.16/1.21     (E(f4(f10(x4151)),f8(x4151,x4151))),
% 1.16/1.21     inference(scs_inference,[],[44,404,322,387,361,373,377,157,209,21,31,38,39,25,27,28])).
% 1.16/1.21  cnf(422,plain,
% 1.16/1.21     (~E(f8(a1,a1),f8(f10(x4221),f10(x4221)))),
% 1.16/1.21     inference(scs_inference,[],[44,404,407,322,387,361,373,377,157,344,209,21,31,38,39,25,27,28,26,32,36])).
% 1.16/1.21  cnf(426,plain,
% 1.16/1.21     (~E(f10(a3),f5(f8(a7,a7),f8(a1,a1)))),
% 1.16/1.21     inference(scs_inference,[],[24,44,404,407,322,394,387,361,375,373,377,157,344,209,124,21,31,38,39,25,27,28,26,32,36,13,16])).
% 1.16/1.21  cnf(428,plain,
% 1.16/1.21     (E(f5(x4281,f8(a1,a1)),x4281)),
% 1.16/1.21     inference(rename_variables,[],[361])).
% 1.16/1.21  cnf(430,plain,
% 1.16/1.21     (~E(f10(x4301),f8(x4302,a1))),
% 1.16/1.21     inference(scs_inference,[],[24,42,44,404,407,322,394,387,361,413,375,373,403,377,157,344,209,124,21,31,38,39,25,27,28,26,32,36,13,16,35,34])).
% 1.16/1.21  cnf(434,plain,
% 1.16/1.21     (E(f8(f8(x4341,x4341),x4342),f8(x4342,x4341))),
% 1.16/1.21     inference(scs_inference,[],[24,42,44,404,407,247,322,394,387,361,413,375,333,373,403,377,157,66,344,209,124,21,31,38,39,25,27,28,26,32,36,13,16,35,34,17,2])).
% 1.16/1.21  cnf(442,plain,
% 1.16/1.21     (~P2(f10(x4421),f10(x4421))),
% 1.16/1.21     inference(scs_inference,[],[23,24,42,44,404,407,200,247,322,394,387,389,361,413,428,375,338,333,373,403,377,157,66,344,209,124,21,31,38,39,25,27,28,26,32,36,13,16,35,34,17,2,3,15,14,29])).
% 1.16/1.21  cnf(444,plain,
% 1.16/1.21     (P3(f6(f10(x4441),f10(x4441),f8(a1,a1)),f10(x4441))),
% 1.16/1.21     inference(scs_inference,[],[44,422,38])).
% 1.16/1.21  cnf(445,plain,
% 1.16/1.21     (~P3(x4451,f8(a1,a1))),
% 1.16/1.21     inference(rename_variables,[],[44])).
% 1.16/1.21  cnf(447,plain,
% 1.16/1.21     (P3(f6(f8(a7,a7),f8(a7,a7),f8(a1,a1)),f8(a7,a7))),
% 1.16/1.21     inference(scs_inference,[],[44,445,422,271,38,39])).
% 1.16/1.21  cnf(448,plain,
% 1.16/1.21     (~P3(x4481,f8(a1,a1))),
% 1.16/1.21     inference(rename_variables,[],[44])).
% 1.16/1.21  cnf(450,plain,
% 1.16/1.21     (~E(a7,f10(f8(a3,a3)))),
% 1.16/1.21     inference(scs_inference,[],[44,445,422,271,298,128,38,39,28])).
% 1.16/1.21  cnf(454,plain,
% 1.16/1.21     (~P3(f5(f10(x4541),f8(a1,a1)),f8(x4541,x4541))),
% 1.16/1.21     inference(scs_inference,[],[44,445,412,422,271,298,51,128,38,39,28,29,32])).
% 1.16/1.21  cnf(461,plain,
% 1.16/1.21     (P3(f4(f8(a7,a7)),a7)),
% 1.16/1.21     inference(scs_inference,[],[23,44,445,412,422,410,271,298,221,76,51,128,112,38,39,28,29,32,36,34])).
% 1.16/1.21  cnf(462,plain,
% 1.16/1.21     (E(f8(x4621,x4622),f8(x4622,x4621))),
% 1.16/1.21     inference(rename_variables,[],[23])).
% 1.16/1.21  cnf(464,plain,
% 1.16/1.21     (E(f8(x4641,x4642),f8(x4642,f8(x4641,x4641)))),
% 1.16/1.21     inference(scs_inference,[],[23,462,44,445,211,412,422,410,271,298,221,76,51,128,112,38,39,28,29,32,36,34,3])).
% 1.16/1.21  cnf(469,plain,
% 1.16/1.21     (E(f4(f10(x4691)),f8(x4691,x4691))),
% 1.16/1.21     inference(rename_variables,[],[415])).
% 1.16/1.21  cnf(470,plain,
% 1.16/1.21     (~E(f8(a3,a3),f8(f10(a7),f10(a7)))),
% 1.16/1.21     inference(scs_inference,[],[23,462,44,445,448,371,415,211,412,422,410,271,298,221,76,338,51,128,112,38,39,28,29,32,36,34,3,2,15,14])).
% 1.16/1.21  cnf(473,plain,
% 1.16/1.21     (~P2(f8(a7,a7),f4(f10(a7)))),
% 1.16/1.21     inference(scs_inference,[],[23,462,44,445,448,371,147,415,469,211,412,422,410,271,298,221,76,359,338,51,128,112,38,39,28,29,32,36,34,3,2,15,14,16,17])).
% 1.16/1.21  cnf(482,plain,
% 1.16/1.21     (P3(f6(x4821,a1,f10(x4822)),f10(x4822))),
% 1.16/1.21     inference(scs_inference,[],[430,126,373,31,38])).
% 1.16/1.21  cnf(491,plain,
% 1.16/1.21     (~P3(f10(x4911),f6(f10(x4911),f10(x4911),f8(a1,a1)))),
% 1.16/1.21     inference(scs_inference,[],[41,444,430,384,92,126,373,74,31,38,27,28,32])).
% 1.16/1.21  cnf(497,plain,
% 1.16/1.21     (~E(f8(a7,a7),f10(a3))),
% 1.16/1.21     inference(scs_inference,[],[42,41,434,442,444,430,473,384,92,203,126,373,74,31,38,27,28,32,34,17,16])).
% 1.16/1.21  cnf(502,plain,
% 1.16/1.21     (~E(f5(f10(x5021),f8(a1,a1)),f8(a1,a1))),
% 1.16/1.21     inference(scs_inference,[],[42,44,41,207,434,464,442,444,426,430,473,384,412,92,203,126,373,74,31,38,27,28,32,34,17,16,3,2,15])).
% 1.16/1.21  cnf(512,plain,
% 1.16/1.21     (P3(x5121,f10(x5121))),
% 1.16/1.21     inference(scs_inference,[],[41,473,209,31,27])).
% 1.16/1.21  cnf(513,plain,
% 1.16/1.21     (E(f10(x5131),f10(f8(x5131,x5131)))),
% 1.16/1.21     inference(rename_variables,[],[209])).
% 1.16/1.21  cnf(515,plain,
% 1.16/1.21     (E(f6(x5151,a1,f10(x5152)),f8(x5152,x5152))),
% 1.16/1.21     inference(scs_inference,[],[41,482,473,209,513,31,27,28])).
% 1.16/1.21  cnf(520,plain,
% 1.16/1.21     (~E(f10(a7),f8(a3,x5201))),
% 1.16/1.21     inference(scs_inference,[],[42,41,447,482,473,209,513,31,27,28,32,35])).
% 1.16/1.21  cnf(522,plain,
% 1.16/1.21     (~E(f8(a7,a7),f8(x5221,f8(a1,a1)))),
% 1.16/1.21     inference(scs_inference,[],[42,44,41,447,482,473,209,513,31,27,28,32,35,34])).
% 1.16/1.21  cnf(525,plain,
% 1.16/1.21     (~P2(f5(f8(a7,a7),f8(a1,a1)),a7)),
% 1.16/1.21     inference(scs_inference,[],[42,44,41,447,482,473,394,209,513,31,27,28,32,35,34,17])).
% 1.16/1.21  cnf(526,plain,
% 1.16/1.21     (E(x5261,f8(x5261,x5261))),
% 1.16/1.21     inference(rename_variables,[],[41])).
% 1.16/1.21  cnf(527,plain,
% 1.16/1.21     (~P2(a7,f5(f8(a7,a7),f8(a1,a1)))),
% 1.16/1.21     inference(scs_inference,[],[42,44,41,526,447,482,379,473,394,209,513,31,27,28,32,35,34,17,16])).
% 1.16/1.21  cnf(528,plain,
% 1.16/1.21     (E(x5281,f8(x5281,x5281))),
% 1.16/1.21     inference(rename_variables,[],[41])).
% 1.16/1.21  cnf(530,plain,
% 1.16/1.21     (E(x5301,f8(x5301,x5301))),
% 1.16/1.21     inference(rename_variables,[],[41])).
% 1.16/1.21  cnf(532,plain,
% 1.16/1.21     (~P3(f10(x5321),x5321)),
% 1.16/1.21     inference(scs_inference,[],[42,44,41,526,528,530,327,502,447,482,497,379,473,394,209,513,31,27,28,32,35,34,17,16,3,2,15])).
% 1.16/1.21  cnf(548,plain,
% 1.16/1.21     (~E(f5(f10(x5481),f8(a1,a1)),a1)),
% 1.16/1.21     inference(scs_inference,[],[44,522,412,38,26])).
% 1.16/1.21  cnf(551,plain,
% 1.16/1.21     (P3(x5511,f10(x5511))),
% 1.16/1.21     inference(rename_variables,[],[512])).
% 1.16/1.21  cnf(555,plain,
% 1.16/1.21     (~E(f8(a1,a1),f8(f8(a9,a9),f8(a9,a9)))),
% 1.16/1.21     inference(scs_inference,[],[52,44,512,522,461,332,255,412,38,26,28,32,13])).
% 1.16/1.21  cnf(556,plain,
% 1.16/1.21     (~P2(a7,f5(f8(a7,a7),a1))),
% 1.16/1.21     inference(scs_inference,[],[52,44,343,512,522,461,527,332,255,412,38,26,28,32,13,17])).
% 1.16/1.21  cnf(557,plain,
% 1.16/1.21     (E(f5(x5571,x5572),f5(x5571,f8(x5572,x5572)))),
% 1.16/1.21     inference(rename_variables,[],[343])).
% 1.16/1.21  cnf(558,plain,
% 1.16/1.21     (~P2(f5(f8(a7,a7),a1),a7)),
% 1.16/1.21     inference(scs_inference,[],[52,44,343,557,512,522,461,525,527,332,255,412,38,26,28,32,13,17,16])).
% 1.16/1.21  cnf(561,plain,
% 1.16/1.21     (E(x5611,f8(x5611,x5611))),
% 1.16/1.21     inference(rename_variables,[],[41])).
% 1.16/1.21  cnf(562,plain,
% 1.16/1.21     (E(f8(x5621,x5621),f6(x5622,a1,f10(x5621)))),
% 1.16/1.21     inference(scs_inference,[],[41,52,44,343,557,512,522,515,402,461,525,527,332,255,412,38,26,28,32,13,17,16,3,2])).
% 1.16/1.21  cnf(563,plain,
% 1.16/1.21     (P3(x5631,f8(f10(x5631),f10(x5631)))),
% 1.16/1.21     inference(scs_inference,[],[41,561,52,44,343,557,512,551,522,515,402,461,525,527,332,255,412,38,26,28,32,13,17,16,3,2,15])).
% 1.16/1.21  cnf(568,plain,
% 1.16/1.21     (E(f5(x5681,a1),f5(x5681,f8(x5682,a1)))),
% 1.16/1.21     inference(scs_inference,[],[41,561,52,44,343,557,512,551,532,522,515,402,461,525,527,332,255,412,38,26,28,32,13,17,16,3,2,15,14,12,11])).
% 1.16/1.21  cnf(569,plain,
% 1.16/1.21     (E(f6(x5691,x5692,a1),f6(x5691,x5692,f8(x5693,a1)))),
% 1.16/1.21     inference(scs_inference,[],[41,561,52,44,343,557,512,551,532,522,515,402,461,525,527,332,255,412,38,26,28,32,13,17,16,3,2,15,14,12,11,9])).
% 1.16/1.21  cnf(570,plain,
% 1.16/1.21     (E(f10(a1),f10(f8(x5701,a1)))),
% 1.16/1.21     inference(scs_inference,[],[41,561,52,44,343,557,512,551,532,522,515,402,461,525,527,332,255,412,38,26,28,32,13,17,16,3,2,15,14,12,11,9,6])).
% 1.16/1.21  cnf(571,plain,
% 1.16/1.21     (E(f8(x5711,a1),f8(x5711,f8(x5712,a1)))),
% 1.16/1.21     inference(scs_inference,[],[41,561,52,44,343,557,512,551,532,522,515,402,461,525,527,332,255,412,38,26,28,32,13,17,16,3,2,15,14,12,11,9,6,5])).
% 1.16/1.21  cnf(572,plain,
% 1.16/1.21     (E(f5(a1,x5721),f5(f8(x5722,a1),x5721))),
% 1.16/1.21     inference(scs_inference,[],[41,561,52,44,343,557,512,551,532,522,515,402,461,525,527,332,255,412,38,26,28,32,13,17,16,3,2,15,14,12,11,9,6,5,10])).
% 1.16/1.21  cnf(573,plain,
% 1.16/1.21     (E(f6(a1,x5731,x5732),f6(f8(x5733,a1),x5731,x5732))),
% 1.16/1.21     inference(scs_inference,[],[41,561,52,44,343,557,512,551,532,522,515,402,461,525,527,332,255,412,38,26,28,32,13,17,16,3,2,15,14,12,11,9,6,5,10,7])).
% 1.16/1.21  cnf(574,plain,
% 1.16/1.21     (E(f8(a1,x5741),f8(f8(x5742,a1),x5741))),
% 1.16/1.21     inference(scs_inference,[],[41,561,52,44,343,557,512,551,532,522,515,402,461,525,527,332,255,412,38,26,28,32,13,17,16,3,2,15,14,12,11,9,6,5,10,7,4])).
% 1.16/1.21  cnf(575,plain,
% 1.16/1.21     (E(f5(f10(a1),a1),f10(a1))),
% 1.16/1.21     inference(scs_inference,[],[41,561,52,44,343,557,512,551,532,522,515,402,461,525,527,332,255,412,373,38,26,28,32,13,17,16,3,2,15,14,12,11,9,6,5,10,7,4,33])).
% 1.16/1.21  cnf(576,plain,
% 1.16/1.21     (~P3(x5761,a1)),
% 1.16/1.21     inference(rename_variables,[],[373])).
% 1.16/1.21  cnf(578,plain,
% 1.16/1.21     (E(f6(x5781,a1,x5782),f6(x5781,f8(x5783,a1),x5782))),
% 1.16/1.21     inference(scs_inference,[],[41,561,52,44,343,557,512,551,532,522,515,402,461,525,527,332,255,412,373,38,26,28,32,13,17,16,3,2,15,14,12,11,9,6,5,10,7,4,33,8])).
% 1.16/1.21  cnf(582,plain,
% 1.16/1.21     (P3(f6(a1,a1,a7),a7)),
% 1.16/1.21     inference(scs_inference,[],[41,561,52,42,44,343,557,512,551,532,522,515,402,461,525,527,332,255,412,373,576,38,26,28,32,13,17,16,3,2,15,14,12,11,9,6,5,10,7,4,33,8,34,39])).
% 1.16/1.21  cnf(592,plain,
% 1.16/1.21     (P3(f6(f8(a9,a9),f8(a9,a9),f8(a1,a1)),f8(a9,a9))),
% 1.16/1.21     inference(scs_inference,[],[44,555,38])).
% 1.16/1.21  cnf(593,plain,
% 1.16/1.21     (~P3(x5931,f8(a1,a1))),
% 1.16/1.21     inference(rename_variables,[],[44])).
% 1.16/1.21  cnf(595,plain,
% 1.16/1.21     (~P3(a7,f10(a1))),
% 1.16/1.21     inference(scs_inference,[],[52,44,555,570,38,28])).
% 1.16/1.21  cnf(598,plain,
% 1.16/1.21     (~P3(f8(f10(x5981),f10(x5981)),x5981)),
% 1.16/1.21     inference(scs_inference,[],[52,44,563,555,570,38,28,32])).
% 1.16/1.21  cnf(603,plain,
% 1.16/1.21     (~E(f8(a9,a9),f8(x6031,f8(a1,a1)))),
% 1.16/1.21     inference(scs_inference,[],[52,44,593,42,563,555,570,38,28,32,35,34])).
% 1.16/1.21  cnf(604,plain,
% 1.16/1.21     (~P3(x6041,f8(a1,a1))),
% 1.16/1.21     inference(rename_variables,[],[44])).
% 1.16/1.21  cnf(609,plain,
% 1.16/1.21     (~E(f8(a3,a3),f6(a1,a1,a7))),
% 1.16/1.21     inference(scs_inference,[],[52,44,593,42,563,350,555,283,570,556,442,66,38,28,32,35,34,17,16,3])).
% 1.16/1.21  cnf(612,plain,
% 1.16/1.21     (~E(f8(a9,a9),f8(a1,a1))),
% 1.16/1.21     inference(scs_inference,[],[52,44,593,604,42,563,350,555,283,570,556,442,66,38,28,32,35,34,17,16,3,2,15])).
% 1.16/1.21  cnf(618,plain,
% 1.16/1.21     (~E(a9,f8(a1,a1))),
% 1.16/1.21     inference(scs_inference,[],[52,44,593,604,42,563,350,454,555,470,283,568,570,556,442,66,38,28,32,35,34,17,16,3,2,15,14,40,5])).
% 1.16/1.21  cnf(619,plain,
% 1.16/1.21     (~E(f10(a7),a3)),
% 1.16/1.21     inference(scs_inference,[],[52,44,593,604,42,563,350,454,555,470,283,568,570,556,442,66,38,28,32,35,34,17,16,3,2,15,14,40,5,4])).
% 1.16/1.21  cnf(625,plain,
% 1.16/1.21     (~P3(x6251,f8(a1,a1))),
% 1.16/1.21     inference(rename_variables,[],[44])).
% 1.16/1.21  cnf(626,plain,
% 1.16/1.21     (~E(f8(a9,a9),f8(x6261,f8(a1,a1)))),
% 1.16/1.21     inference(rename_variables,[],[603])).
% 1.16/1.21  cnf(628,plain,
% 1.16/1.21     (E(f6(f8(a1,a1),f8(a1,a1),f10(a1)),f8(x6281,a1))),
% 1.16/1.21     inference(scs_inference,[],[44,603,406,570,39,28])).
% 1.16/1.21  cnf(644,plain,
% 1.16/1.21     (E(f5(x6441,x6442),f5(f8(x6441,x6441),x6442))),
% 1.16/1.21     inference(rename_variables,[],[207])).
% 1.16/1.21  cnf(645,plain,
% 1.16/1.21     (~P2(f5(a7,a1),a7)),
% 1.16/1.21     inference(scs_inference,[],[42,53,44,603,592,574,558,406,207,644,210,570,512,527,434,39,28,32,36,35,13,34,17,16])).
% 1.16/1.21  cnf(664,plain,
% 1.16/1.21     (P3(f6(x6641,f8(a1,a1),f8(a9,a9)),f8(a9,a9))),
% 1.16/1.21     inference(scs_inference,[],[42,53,44,625,491,603,626,612,592,562,569,578,574,450,558,582,406,207,644,210,211,570,512,527,434,39,28,32,36,35,13,34,17,16,3,2,15,14,33,30,31,27,38])).
% 1.16/1.21  cnf(667,plain,
% 1.16/1.21     (P3(f6(a1,a1,a9),a9)),
% 1.16/1.21     inference(scs_inference,[],[618,373,39])).
% 1.16/1.21  cnf(672,plain,
% 1.16/1.21     (~P3(x6721,f8(a1,a1))),
% 1.16/1.21     inference(rename_variables,[],[44])).
% 1.16/1.21  cnf(679,plain,
% 1.16/1.21     (E(f6(f8(a1,a1),f8(a1,a1),f10(a1)),f8(x6791,a1))),
% 1.16/1.21     inference(rename_variables,[],[628])).
% 1.16/1.21  cnf(681,plain,
% 1.16/1.21     (P1(f8(a1,f8(x6811,a1)))),
% 1.16/1.21     inference(scs_inference,[],[42,44,664,609,571,628,618,520,150,255,373,39,38,28,32,35,13])).
% 1.16/1.21  cnf(682,plain,
% 1.16/1.21     (E(f8(x6821,a1),f8(x6821,f8(x6822,a1)))),
% 1.16/1.21     inference(rename_variables,[],[571])).
% 1.16/1.21  cnf(684,plain,
% 1.16/1.21     (E(f8(x6841,a1),f8(x6841,f8(x6842,a1)))),
% 1.16/1.21     inference(rename_variables,[],[571])).
% 1.16/1.21  cnf(687,plain,
% 1.16/1.21     (E(f8(x6871,a1),f8(x6871,f8(x6872,a1)))),
% 1.16/1.21     inference(rename_variables,[],[571])).
% 1.16/1.21  cnf(698,plain,
% 1.16/1.21     (E(f8(x6981,a1),a1)),
% 1.16/1.21     inference(scs_inference,[],[42,50,51,44,672,598,664,609,571,682,684,687,572,628,679,618,520,343,582,150,255,373,39,38,28,32,35,13,34,17,16,3,2,14,15,25])).
% 1.16/1.21  cnf(702,plain,
% 1.16/1.21     (P2(x7021,a1)),
% 1.16/1.21     inference(scs_inference,[],[42,50,51,44,672,598,664,609,571,682,684,687,572,628,679,618,520,595,343,582,150,255,570,373,39,38,28,32,35,13,34,17,16,3,2,14,15,25,27,30])).
% 1.16/1.21  cnf(706,plain,
% 1.16/1.21     (P2(a1,x7061)),
% 1.16/1.21     inference(scs_inference,[],[42,50,51,44,672,598,664,609,571,682,684,687,572,628,679,618,520,595,343,582,150,255,570,373,39,38,28,32,35,13,34,17,16,3,2,14,15,25,27,30,5,4,31])).
% 1.16/1.21  cnf(744,plain,
% 1.16/1.21     ($false),
% 1.16/1.21     inference(scs_inference,[],[53,63,280,198,645,573,619,681,667,548,702,706,698,575,247,184,361,210,512,373,29,31,27,26,32,28,35,13,17,16,3,2,15,14,30,11,12,6,10,9,7,8,36]),
% 1.16/1.21     ['proof']).
% 1.16/1.21  % SZS output end Proof
% 1.16/1.21  % Total time :0.570000s
%------------------------------------------------------------------------------