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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SET008+3 : TPTP v8.2.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 14:19:58 EDT 2024

% Result   : Theorem 117.30s 117.38s
% Output   : CNFRefutation 117.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SET008+3 : TPTP v8.2.0. Released v2.2.0.
% 0.12/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sun Jun 23 16:41:08 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.19/0.55  start to proof:theBenchmark
% 117.30/117.36  %-------------------------------------------
% 117.30/117.36  % File        :CSE---1.7
% 117.30/117.36  % Problem     :theBenchmark
% 117.30/117.36  % Transform   :cnf
% 117.30/117.36  % Format      :tptp:raw
% 117.30/117.36  % Command     :java -jar mcs_scs.jar %d %s
% 117.30/117.36  
% 117.30/117.36  % Result      :Theorem 116.770000s
% 117.30/117.36  % Output      :CNFRefutation 116.770000s
% 117.30/117.36  %-------------------------------------------
% 117.30/117.38  %--------------------------------------------------------------------------
% 117.30/117.38  % File     : SET008+3 : TPTP v8.2.0. Released v2.2.0.
% 117.30/117.38  % Domain   : Set Theory
% 117.30/117.38  % Problem  : (X \ Y) ^ Y = the empty set
% 117.30/117.38  % Version  : [Try90] axioms : Reduced > Incomplete.
% 117.30/117.38  % English  : The intersection of (the difference of X and Y) and Y is the
% 117.30/117.38  %            empty set.
% 117.30/117.38  
% 117.30/117.38  % Refs     : [ILF] The ILF Group (1998), The ILF System: A Tool for the Int
% 117.30/117.38  %          : [Try90] Trybulec (1990), Tarski Grothendieck Set Theory
% 117.30/117.38  %          : [TS89]  Trybulec & Swieczkowska (1989), Boolean Properties of
% 117.30/117.38  % Source   : [ILF]
% 117.30/117.38  % Names    : BOOLE (78) [TS89]
% 117.30/117.38  
% 117.30/117.38  % Status   : Theorem
% 117.30/117.38  % Rating   : 0.17 v7.5.0, 0.19 v7.4.0, 0.10 v7.3.0, 0.17 v7.2.0, 0.14 v7.1.0, 0.13 v6.4.0, 0.12 v6.3.0, 0.21 v6.2.0, 0.20 v6.1.0, 0.37 v6.0.0, 0.43 v5.5.0, 0.37 v5.4.0, 0.39 v5.3.0, 0.44 v5.2.0, 0.25 v5.1.0, 0.24 v5.0.0, 0.25 v4.1.0, 0.26 v4.0.0, 0.25 v3.7.0, 0.20 v3.5.0, 0.21 v3.2.0, 0.18 v3.1.0, 0.11 v2.7.0, 0.00 v2.5.0, 0.12 v2.4.0, 0.00 v2.2.1
% 117.30/117.38  % Syntax   : Number of formulae    :   10 (   4 unt;   0 def)
% 117.30/117.38  %            Number of atoms       :   21 (   4 equ)
% 117.30/117.38  %            Maximal formula atoms :    3 (   2 avg)
% 117.30/117.38  %            Number of connectives :   14 (   3   ~;   0   |;   3   &)
% 117.30/117.38  %                                         (   7 <=>;   1  =>;   0  <=;   0 <~>)
% 117.30/117.38  %            Maximal formula depth :    7 (   5 avg)
% 117.30/117.38  %            Maximal term depth    :    3 (   1 avg)
% 117.30/117.38  %            Number of predicates  :    4 (   3 usr;   0 prp; 1-2 aty)
% 117.30/117.38  %            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
% 117.30/117.38  %            Number of variables   :   22 (  22   !;   0   ?)
% 117.30/117.38  % SPC      : FOF_THM_RFO_SEQ
% 117.30/117.38  
% 117.30/117.38  % Comments :
% 117.30/117.38  %--------------------------------------------------------------------------
% 117.30/117.38  %---- line(boole - df(3),1833060)
% 117.30/117.38  fof(intersection_defn,axiom,
% 117.30/117.38      ! [B,C,D] :
% 117.30/117.38        ( member(D,intersection(B,C))
% 117.30/117.38      <=> ( member(D,B)
% 117.30/117.38          & member(D,C) ) ) ).
% 117.30/117.38  
% 117.30/117.38  %---- line(boole - df(4),1833078)
% 117.30/117.38  fof(difference_defn,axiom,
% 117.30/117.38      ! [B,C,D] :
% 117.30/117.38        ( member(D,difference(B,C))
% 117.30/117.38      <=> ( member(D,B)
% 117.30/117.38          & ~ member(D,C) ) ) ).
% 117.30/117.38  
% 117.30/117.38  %---- line(hidden - axiom135,1832636)
% 117.30/117.38  fof(empty_set_defn,axiom,
% 117.30/117.38      ! [B] : ~ member(B,empty_set) ).
% 117.30/117.38  
% 117.30/117.38  %---- line(boole - df(8),1833103)
% 117.30/117.38  fof(equal_defn,axiom,
% 117.30/117.38      ! [B,C] :
% 117.30/117.38        ( B = C
% 117.30/117.38      <=> ( subset(B,C)
% 117.30/117.38          & subset(C,B) ) ) ).
% 117.30/117.38  
% 117.30/117.38  %---- property(commutativity,op(intersection,2,function))
% 117.30/117.38  fof(commutativity_of_intersection,axiom,
% 117.30/117.38      ! [B,C] : intersection(B,C) = intersection(C,B) ).
% 117.30/117.38  
% 117.30/117.38  %---- line(tarski - df(3),1832749)
% 117.30/117.38  fof(subset_defn,axiom,
% 117.30/117.38      ! [B,C] :
% 117.30/117.38        ( subset(B,C)
% 117.30/117.38      <=> ! [D] :
% 117.30/117.38            ( member(D,B)
% 117.30/117.38           => member(D,C) ) ) ).
% 117.30/117.38  
% 117.30/117.38  %---- property(reflexivity,op(subset,2,predicate))
% 117.30/117.38  fof(reflexivity_of_subset,axiom,
% 117.30/117.38      ! [B] : subset(B,B) ).
% 117.30/117.38  
% 117.30/117.38  %---- line(hidden - axiom137,1832628)
% 117.30/117.38  fof(empty_defn,axiom,
% 117.30/117.38      ! [B] :
% 117.30/117.38        ( empty(B)
% 117.30/117.38      <=> ! [C] : ~ member(C,B) ) ).
% 117.30/117.38  
% 117.30/117.38  %---- line(hidden - axiom138,1832615)
% 117.30/117.38  fof(equal_member_defn,axiom,
% 117.30/117.38      ! [B,C] :
% 117.30/117.38        ( B = C
% 117.30/117.38      <=> ! [D] :
% 117.30/117.38            ( member(D,B)
% 117.30/117.38          <=> member(D,C) ) ) ).
% 117.30/117.38  
% 117.30/117.38  %---- line(boole - th(78),1833894)
% 117.30/117.38  fof(prove_intersection_difference_empty_set,conjecture,
% 117.30/117.38      ! [B,C] : intersection(difference(B,C),C) = empty_set ).
% 117.30/117.38  
% 117.30/117.38  %--------------------------------------------------------------------------
% 117.30/117.38  %-------------------------------------------
% 117.30/117.38  % Proof found
% 117.30/117.38  % SZS status Theorem for theBenchmark
% 117.30/117.38  % SZS output start Proof
% 117.30/117.39  %ClaNum:37(EqnAxiom:17)
% 117.30/117.39  %VarNum:89(SingletonVarNum:40)
% 117.30/117.39  %MaxLitNum:3
% 117.30/117.39  %MaxfuncDepth:2
% 117.30/117.39  %SharedTerms:6
% 117.30/117.39  %goalClause: 21
% 117.30/117.39  %singleGoalClaCount:1
% 117.30/117.39  [21]~E(f1(f3(a4,a8),a8),a2)
% 117.30/117.39  [18]P1(x181,x181)
% 117.30/117.39  [20]~P2(x201,a2)
% 117.30/117.39  [19]E(f1(x191,x192),f1(x192,x191))
% 117.30/117.39  [24]P3(x241)+P2(f5(x241),x241)
% 117.30/117.39  [23]~E(x231,x232)+P1(x231,x232)
% 117.30/117.39  [25]~P3(x251)+~P2(x252,x251)
% 117.30/117.39  [27]P1(x271,x272)+P2(f6(x271,x272),x271)
% 117.30/117.39  [33]P1(x331,x332)+~P2(f6(x331,x332),x332)
% 117.30/117.39  [30]P2(x301,x302)+~P2(x301,f1(x303,x302))
% 117.30/117.39  [31]P2(x311,x312)+~P2(x311,f1(x312,x313))
% 117.30/117.39  [32]P2(x321,x322)+~P2(x321,f3(x322,x323))
% 117.30/117.39  [36]~P2(x361,x362)+~P2(x361,f3(x363,x362))
% 117.30/117.39  [26]~P1(x262,x261)+~P1(x261,x262)+E(x261,x262)
% 117.30/117.39  [34]E(x341,x342)+P2(f7(x341,x342),x342)+P2(f7(x341,x342),x341)
% 117.30/117.39  [37]E(x371,x372)+~P2(f7(x371,x372),x372)+~P2(f7(x371,x372),x371)
% 117.30/117.39  [28]~P1(x283,x282)+P2(x281,x282)+~P2(x281,x283)
% 117.30/117.39  [29]~P2(x291,x293)+P2(x291,x292)+P2(x291,f3(x293,x292))
% 117.30/117.39  [35]~P2(x351,x353)+~P2(x351,x352)+P2(x351,f1(x352,x353))
% 117.30/117.39  %EqnAxiom
% 117.30/117.39  [1]E(x11,x11)
% 117.30/117.39  [2]E(x22,x21)+~E(x21,x22)
% 117.30/117.39  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 117.30/117.39  [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43))
% 117.30/117.39  [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52))
% 117.30/117.39  [6]~E(x61,x62)+E(f7(x61,x63),f7(x62,x63))
% 117.30/117.39  [7]~E(x71,x72)+E(f7(x73,x71),f7(x73,x72))
% 117.30/117.39  [8]~E(x81,x82)+E(f3(x81,x83),f3(x82,x83))
% 117.30/117.39  [9]~E(x91,x92)+E(f3(x93,x91),f3(x93,x92))
% 117.30/117.39  [10]~E(x101,x102)+E(f6(x101,x103),f6(x102,x103))
% 117.30/117.39  [11]~E(x111,x112)+E(f6(x113,x111),f6(x113,x112))
% 117.30/117.39  [12]~E(x121,x122)+E(f5(x121),f5(x122))
% 117.30/117.39  [13]P1(x132,x133)+~E(x131,x132)+~P1(x131,x133)
% 117.30/117.39  [14]P1(x143,x142)+~E(x141,x142)+~P1(x143,x141)
% 117.30/117.39  [15]P2(x152,x153)+~E(x151,x152)+~P2(x151,x153)
% 117.30/117.39  [16]P2(x163,x162)+~E(x161,x162)+~P2(x163,x161)
% 117.30/117.39  [17]~P3(x171)+P3(x172)+~E(x171,x172)
% 117.30/117.39  
% 117.30/117.39  %-------------------------------------------
% 117.40/117.41  cnf(39,plain,
% 117.40/117.41     (P1(a2,x391)),
% 117.40/117.41     inference(scs_inference,[],[20,27])).
% 117.40/117.41  cnf(40,plain,
% 117.40/117.41     (~P2(x401,a2)),
% 117.40/117.41     inference(rename_variables,[],[20])).
% 117.40/117.41  cnf(42,plain,
% 117.40/117.41     (P3(a2)),
% 117.40/117.41     inference(scs_inference,[],[20,40,27,24])).
% 117.40/117.41  cnf(45,plain,
% 117.40/117.41     (P1(f1(x451,x452),f1(x452,x451))),
% 117.40/117.41     inference(scs_inference,[],[18,20,40,19,27,24,13])).
% 117.40/117.41  cnf(47,plain,
% 117.40/117.41     (~P3(f1(x471,x472))+P3(f1(x472,x471))),
% 117.40/117.41     inference(scs_inference,[],[18,20,40,19,27,24,13,17])).
% 117.40/117.41  cnf(48,plain,
% 117.40/117.41     (P1(x481,x482)+~E(a2,x481)),
% 117.40/117.41     inference(scs_inference,[],[39,13])).
% 117.40/117.41  cnf(51,plain,
% 117.40/117.41     (~E(a2,f1(f3(a4,a8),a8))),
% 117.40/117.41     inference(scs_inference,[],[21,18,39,13,26,14])).
% 117.40/117.41  cnf(55,plain,
% 117.40/117.41     (~E(a2,f1(a8,f3(a4,a8)))),
% 117.40/117.41     inference(scs_inference,[],[51,19,3])).
% 117.40/117.41  cnf(57,plain,
% 117.40/117.41     (~P1(f1(f3(a4,a8),a8),a2)),
% 117.40/117.41     inference(scs_inference,[],[51,39,19,3,26])).
% 117.40/117.41  cnf(62,plain,
% 117.40/117.41     (~P1(f1(a8,f3(a4,a8)),a2)),
% 117.40/117.41     inference(scs_inference,[],[55,39,26])).
% 117.40/117.41  cnf(65,plain,
% 117.40/117.41     (~P2(x651,f1(x652,x653))+~P3(f1(x653,x652))),
% 117.40/117.41     inference(scs_inference,[],[25,47])).
% 117.40/117.41  cnf(66,plain,
% 117.40/117.41     (E(f1(f1(x661,x662),x663),f1(f1(x662,x661),x663))),
% 117.40/117.41     inference(scs_inference,[],[19,2,4])).
% 117.40/117.41  cnf(67,plain,
% 117.40/117.41     (~P3(f1(f1(x671,x672),x673))+P3(f1(f1(x672,x671),x673))),
% 117.40/117.41     inference(scs_inference,[],[66,17])).
% 117.40/117.41  cnf(68,plain,
% 117.40/117.41     (~P3(f1(x681,f1(x682,x683)))+P3(f1(f1(x683,x682),x681))),
% 117.40/117.41     inference(scs_inference,[],[66,17,47])).
% 117.40/117.41  cnf(70,plain,
% 117.40/117.41     (~P2(x701,f1(x702,f1(a2,x703)))),
% 117.40/117.41     inference(scs_inference,[],[20,30,31])).
% 117.40/117.41  cnf(71,plain,
% 117.40/117.41     (P1(f1(x711,f1(a2,x712)),x713)),
% 117.40/117.41     inference(scs_inference,[],[70,27])).
% 117.40/117.41  cnf(72,plain,
% 117.40/117.41     (~P2(x721,f1(x722,f1(a2,x723)))),
% 117.40/117.41     inference(rename_variables,[],[70])).
% 117.40/117.41  cnf(74,plain,
% 117.40/117.41     (P3(f1(x741,f1(a2,x742)))),
% 117.40/117.41     inference(scs_inference,[],[70,72,27,24])).
% 117.40/117.41  cnf(75,plain,
% 117.40/117.41     (~P2(x751,f1(x752,f1(a2,x753)))),
% 117.40/117.41     inference(rename_variables,[],[70])).
% 117.40/117.41  cnf(78,plain,
% 117.40/117.41     (~P2(x781,f1(x782,f1(a2,x783)))),
% 117.40/117.41     inference(rename_variables,[],[70])).
% 117.40/117.41  cnf(81,plain,
% 117.40/117.41     (P1(f1(f1(x811,x812),x813),f1(x813,f1(x812,x811)))),
% 117.40/117.41     inference(scs_inference,[],[20,66,45,70,72,75,27,24,34,13])).
% 117.40/117.41  cnf(83,plain,
% 117.40/117.41     (P3(f1(f1(a2,x831),x832))),
% 117.40/117.41     inference(scs_inference,[],[20,66,45,19,70,72,75,27,24,34,13,17])).
% 117.40/117.41  cnf(85,plain,
% 117.40/117.41     (~P2(x851,f1(f1(a2,x852),x853))),
% 117.40/117.41     inference(scs_inference,[],[20,66,45,19,70,72,75,27,24,34,13,17,65])).
% 117.40/117.41  cnf(90,plain,
% 117.40/117.41     (~E(f1(f3(a4,a8),a8),f1(x901,f1(a2,x902)))),
% 117.40/117.41     inference(scs_inference,[],[20,21,66,45,19,70,72,75,78,27,24,34,13,17,65,2,35,3])).
% 117.40/117.41  cnf(91,plain,
% 117.40/117.41     (~E(a8,f1(a2,x911))),
% 117.40/117.41     inference(scs_inference,[],[20,21,66,45,19,70,72,75,78,27,24,34,13,17,65,2,35,3,5])).
% 117.40/117.41  cnf(93,plain,
% 117.40/117.41     (P1(f1(f1(a2,x931),x932),x933)),
% 117.40/117.41     inference(scs_inference,[],[85,27])).
% 117.40/117.41  cnf(94,plain,
% 117.40/117.41     (~P2(x941,f1(f1(a2,x942),x943))),
% 117.40/117.41     inference(rename_variables,[],[85])).
% 117.40/117.41  cnf(100,plain,
% 117.40/117.41     (~E(f1(f3(a4,a8),a8),f1(f1(a2,x1001),x1002))),
% 117.40/117.41     inference(scs_inference,[],[20,90,19,85,94,27,34,3])).
% 117.40/117.41  cnf(102,plain,
% 117.40/117.41     (P1(f1(f1(x1021,x1022),f1(x1023,x1024)),f1(f1(x1024,x1023),f1(x1022,x1021)))),
% 117.40/117.41     inference(scs_inference,[],[20,66,90,81,19,85,94,27,34,3,14])).
% 117.40/117.41  cnf(105,plain,
% 117.40/117.41     (~E(f1(x1051,f1(a2,x1052)),f1(f3(a4,a8),a8))),
% 117.40/117.41     inference(scs_inference,[],[20,57,66,90,81,71,19,85,94,27,34,3,14,13])).
% 117.40/117.41  cnf(107,plain,
% 117.40/117.41     (~E(f3(a4,a8),f1(a2,x1071))),
% 117.40/117.41     inference(scs_inference,[],[20,57,66,90,81,71,19,85,94,27,34,3,14,13,4])).
% 117.40/117.41  cnf(108,plain,
% 117.40/117.41     (E(f1(f1(a2,x1081),x1082),a2)),
% 117.40/117.41     inference(scs_inference,[],[20,57,66,90,81,71,19,85,94,27,34,3,14,13,4,2])).
% 117.40/117.41  cnf(109,plain,
% 117.40/117.41     (~E(f1(a2,x1091),a8)),
% 117.40/117.41     inference(scs_inference,[],[20,57,66,90,81,71,19,85,94,27,34,3,14,13,4,2,5])).
% 117.40/117.41  cnf(118,plain,
% 117.40/117.41     (~E(f1(f3(a4,a8),a8),f1(f1(x1181,a2),x1182))),
% 117.40/117.41     inference(scs_inference,[],[66,100,93,105,26,3])).
% 117.40/117.41  cnf(128,plain,
% 117.40/117.41     (~E(f1(f3(a4,a8),a8),f1(x1281,f1(x1282,a2)))),
% 117.40/117.41     inference(scs_inference,[],[118,109,71,19,26,3])).
% 117.40/117.41  cnf(141,plain,
% 117.40/117.41     (~P1(f1(f3(a4,a8),a8),f1(x1411,f1(a2,x1412)))),
% 117.40/117.41     inference(scs_inference,[],[105,71,26])).
% 117.40/117.41  cnf(142,plain,
% 117.40/117.41     (P1(f1(x1421,f1(a2,x1422)),x1423)),
% 117.40/117.41     inference(rename_variables,[],[71])).
% 117.40/117.41  cnf(144,plain,
% 117.40/117.41     (~E(f1(x1441,f1(a2,x1442)),f1(a8,f3(a4,a8)))),
% 117.40/117.41     inference(scs_inference,[],[62,105,71,142,26,13])).
% 117.40/117.41  cnf(146,plain,
% 117.40/117.41     (~E(f1(a2,x1461),f3(a4,a8))),
% 117.40/117.41     inference(scs_inference,[],[62,105,71,142,26,13,5])).
% 117.40/117.41  cnf(148,plain,
% 117.40/117.41     (~P1(f1(a8,f3(a4,a8)),f1(f1(a2,x1481),f1(a2,x1482)))),
% 117.40/117.41     inference(scs_inference,[],[144,93,26])).
% 117.40/117.41  cnf(152,plain,
% 117.40/117.41     (~E(f1(f1(a2,x1521),x1522),f1(f3(a4,a8),a8))),
% 117.40/117.41     inference(scs_inference,[],[141,45,144,93,26,13])).
% 117.40/117.41  cnf(156,plain,
% 117.40/117.41     (P3(f1(f1(x1561,a2),f1(x1562,x1563)))),
% 117.40/117.41     inference(scs_inference,[],[74,67,68])).
% 117.40/117.41  cnf(157,plain,
% 117.40/117.41     (~P2(x1571,f1(f1(x1572,a2),f1(x1573,x1574)))),
% 117.40/117.41     inference(scs_inference,[],[156,25])).
% 117.40/117.41  cnf(159,plain,
% 117.40/117.41     (P1(f1(f1(x1591,a2),f1(x1592,x1593)),x1594)),
% 117.40/117.41     inference(scs_inference,[],[156,25,27])).
% 117.40/117.41  cnf(161,plain,
% 117.40/117.41     (~P2(x1611,f1(f1(x1612,x1613),f1(x1614,a2)))),
% 117.40/117.41     inference(scs_inference,[],[156,25,27,65])).
% 117.40/117.41  cnf(169,plain,
% 117.40/117.41     (P3(f1(f1(x1691,a2),x1692))),
% 117.40/117.41     inference(scs_inference,[],[20,66,152,93,83,156,25,27,65,34,26,17])).
% 117.40/117.41  cnf(171,plain,
% 117.40/117.41     (~E(f1(f1(x1711,a2),f1(x1712,a2)),f1(a8,f3(a4,a8)))),
% 117.40/117.41     inference(scs_inference,[],[20,148,66,152,102,93,83,156,25,27,65,34,26,17,13])).
% 117.40/117.41  cnf(173,plain,
% 117.40/117.41     (P1(f1(f1(x1731,x1732),f1(x1733,a2)),x1734)),
% 117.40/117.41     inference(scs_inference,[],[20,148,66,152,102,93,83,156,25,27,65,34,26,17,13,48])).
% 117.40/117.41  cnf(176,plain,
% 117.40/117.41     (~P2(x1761,f1(f1(x1762,a2),x1763))),
% 117.40/117.41     inference(scs_inference,[],[169,25])).
% 117.40/117.41  cnf(181,plain,
% 117.40/117.41     (P1(f1(f1(x1811,a2),x1812),x1813)),
% 117.40/117.41     inference(scs_inference,[],[161,169,25,24,27])).
% 117.40/117.41  cnf(183,plain,
% 117.40/117.41     (~P2(x1831,f1(x1832,f1(x1833,a2)))),
% 117.40/117.41     inference(scs_inference,[],[161,169,25,24,27,65])).
% 117.40/117.41  cnf(192,plain,
% 117.40/117.41     (P3(f1(x1921,f1(x1922,a2)))),
% 117.40/117.41     inference(scs_inference,[],[20,159,171,19,157,161,169,25,24,27,65,34,26,17])).
% 117.40/117.41  cnf(211,plain,
% 117.40/117.41     (E(f1(f1(x2111,a2),x2112),a2)),
% 117.40/117.41     inference(scs_inference,[],[20,57,173,176,183,27,34,13,2])).
% 117.40/117.41  cnf(213,plain,
% 117.40/117.41     (E(a2,f1(x2131,f1(x2132,a2)))),
% 117.40/117.41     inference(scs_inference,[],[20,183,34])).
% 117.40/117.41  cnf(219,plain,
% 117.40/117.41     (E(f1(x2191,f1(x2192,a2)),a2)),
% 117.40/117.41     inference(scs_inference,[],[20,62,93,183,34,13,2])).
% 117.40/117.41  cnf(220,plain,
% 117.40/117.41     (~P2(x2201,f3(a2,x2202))),
% 117.40/117.41     inference(scs_inference,[],[18,20,28,32])).
% 117.40/117.41  cnf(221,plain,
% 117.40/117.41     (P3(f3(a2,x2211))),
% 117.40/117.41     inference(scs_inference,[],[220,24])).
% 117.40/117.41  cnf(222,plain,
% 117.40/117.41     (~P2(x2221,f3(a2,x2222))),
% 117.40/117.41     inference(rename_variables,[],[220])).
% 117.40/117.41  cnf(224,plain,
% 117.40/117.41     (P1(f3(a2,x2241),x2242)),
% 117.40/117.41     inference(scs_inference,[],[220,222,24,27])).
% 117.40/117.41  cnf(225,plain,
% 117.40/117.41     (~P2(x2251,f3(a2,x2252))),
% 117.40/117.41     inference(rename_variables,[],[220])).
% 117.40/117.41  cnf(227,plain,
% 117.40/117.41     (E(a2,f3(a2,x2271))),
% 117.40/117.41     inference(scs_inference,[],[20,220,222,225,24,27,34])).
% 117.40/117.41  cnf(231,plain,
% 117.40/117.41     (E(f1(f1(a2,x2311),x2312),f3(a2,x2313))),
% 117.40/117.41     inference(scs_inference,[],[20,108,220,222,225,24,27,34,3])).
% 117.40/117.41  cnf(234,plain,
% 117.40/117.41     (~E(f1(x2341,a2),f3(a4,a8))),
% 117.40/117.41     inference(scs_inference,[],[20,57,108,181,220,222,225,24,27,34,3,13,4])).
% 117.40/117.41  cnf(235,plain,
% 117.40/117.41     (E(f3(a2,x2351),a2)),
% 117.40/117.41     inference(scs_inference,[],[20,57,108,181,220,222,225,24,27,34,3,13,4,2])).
% 117.40/117.41  cnf(236,plain,
% 117.40/117.41     (~P2(x2361,f1(x2362,a2))),
% 117.40/117.41     inference(scs_inference,[],[20,220,29,30])).
% 117.40/117.41  cnf(237,plain,
% 117.40/117.41     (P3(f1(x2371,a2))),
% 117.40/117.41     inference(scs_inference,[],[236,24])).
% 117.40/117.41  cnf(238,plain,
% 117.40/117.41     (~P2(x2381,f1(x2382,a2))),
% 117.40/117.41     inference(rename_variables,[],[236])).
% 117.40/117.41  cnf(240,plain,
% 117.40/117.41     (P1(f1(x2401,a2),x2402)),
% 117.40/117.41     inference(scs_inference,[],[236,238,24,27])).
% 117.40/117.41  cnf(241,plain,
% 117.40/117.41     (~P2(x2411,f1(x2412,a2))),
% 117.40/117.41     inference(rename_variables,[],[236])).
% 117.40/117.41  cnf(243,plain,
% 117.40/117.41     (~P2(x2431,f1(a2,x2432))),
% 117.40/117.41     inference(scs_inference,[],[236,238,24,27,65])).
% 117.40/117.41  cnf(245,plain,
% 117.40/117.41     (E(f3(a2,x2451),f1(f1(a2,x2452),x2453))),
% 117.40/117.41     inference(scs_inference,[],[231,236,238,24,27,65,2])).
% 117.40/117.41  cnf(246,plain,
% 117.40/117.41     (E(a2,f1(x2461,a2))),
% 117.40/117.41     inference(scs_inference,[],[20,231,236,238,241,24,27,65,2,34])).
% 117.40/117.41  cnf(250,plain,
% 117.40/117.41     (E(f1(f1(x2501,a2),x2502),f3(a2,x2503))),
% 117.40/117.41     inference(scs_inference,[],[20,66,231,236,238,241,24,27,65,2,34,3])).
% 117.40/117.41  cnf(256,plain,
% 117.40/117.41     (P3(f1(a2,x2561))),
% 117.40/117.41     inference(scs_inference,[],[243,24])).
% 117.40/117.41  cnf(257,plain,
% 117.40/117.41     (~P2(x2571,f1(a2,x2572))),
% 117.40/117.41     inference(rename_variables,[],[243])).
% 117.40/117.41  cnf(259,plain,
% 117.40/117.41     (P1(f1(a2,x2591),x2592)),
% 117.40/117.41     inference(scs_inference,[],[243,257,24,27])).
% 117.40/117.41  cnf(260,plain,
% 117.40/117.41     (~P2(x2601,f1(a2,x2602))),
% 117.40/117.41     inference(rename_variables,[],[243])).
% 117.40/117.41  cnf(262,plain,
% 117.40/117.41     (E(f3(a2,x2621),f1(f1(x2622,a2),x2623))),
% 117.40/117.41     inference(scs_inference,[],[250,243,257,24,27,2])).
% 117.40/117.41  cnf(266,plain,
% 117.40/117.41     (E(a2,f1(a2,x2661))),
% 117.40/117.41     inference(scs_inference,[],[20,250,144,243,257,260,24,27,2,26,34])).
% 117.40/117.41  cnf(273,plain,
% 117.40/117.41     (~E(f3(a2,x2731),f1(f3(a4,a8),a8))),
% 117.40/117.41     inference(scs_inference,[],[20,57,128,250,245,144,224,243,257,260,24,27,2,26,34,3,13])).
% 117.40/117.41  cnf(277,plain,
% 117.40/117.41     (E(f1(x2771,a2),a2)),
% 117.40/117.41     inference(scs_inference,[],[246,2])).
% 117.40/117.41  cnf(282,plain,
% 117.40/117.41     (~E(f1(x2821,a2),f1(a8,f3(a4,a8)))),
% 117.40/117.41     inference(scs_inference,[],[62,21,246,240,273,224,2,26,3,13])).
% 117.40/117.41  cnf(284,plain,
% 117.40/117.41     (~E(a8,a2)),
% 117.40/117.41     inference(scs_inference,[],[62,21,246,240,273,224,2,26,3,13,5])).
% 117.40/117.41  cnf(285,plain,
% 117.40/117.41     (~E(a2,f3(a4,a8))),
% 117.40/117.41     inference(scs_inference,[],[282,5])).
% 117.40/117.41  cnf(287,plain,
% 117.40/117.41     (E(f1(a2,x2871),a2)),
% 117.40/117.41     inference(scs_inference,[],[266,282,5,2])).
% 117.40/117.41  cnf(291,plain,
% 117.40/117.41     (~E(f3(a4,a8),a2)),
% 117.40/117.41     inference(scs_inference,[],[57,21,266,259,282,5,2,3,13,4])).
% 117.40/117.41  cnf(295,plain,
% 117.40/117.41     (~E(f1(x2951,a2),a8)),
% 117.40/117.41     inference(scs_inference,[],[62,181,13,4])).
% 117.40/117.41  cnf(302,plain,
% 117.40/117.41     (~E(a2,a8)),
% 117.40/117.41     inference(scs_inference,[],[62,259,13,4])).
% 117.40/117.41  cnf(317,plain,
% 117.40/117.41     (E(f1(x3171,f1(a2,x3172)),f1(f1(a2,x3173),x3174))),
% 117.40/117.41     inference(scs_inference,[],[70,85,34])).
% 117.40/117.41  cnf(322,plain,
% 117.40/117.41     (E(f1(f1(a2,x3221),x3222),f1(x3223,f1(a2,x3224)))),
% 117.40/117.41     inference(scs_inference,[],[317,2])).
% 117.40/117.41  cnf(323,plain,
% 117.40/117.41     (E(f1(x3231,f1(a2,x3232)),f1(f1(x3233,a2),x3234))),
% 117.40/117.41     inference(scs_inference,[],[317,70,176,2,34])).
% 117.40/117.41  cnf(329,plain,
% 117.40/117.41     (E(f1(f1(a2,x3291),x3292),f1(f1(x3293,a2),x3294))),
% 117.40/117.41     inference(scs_inference,[],[323,85,176,2,34])).
% 117.40/117.41  cnf(335,plain,
% 117.40/117.41     (E(f1(x3351,f1(a2,x3352)),f1(x3353,f1(x3354,a2)))),
% 117.40/117.41     inference(scs_inference,[],[329,70,183,2,34])).
% 117.40/117.41  cnf(340,plain,
% 117.40/117.41     (E(f1(f1(a2,x3401),x3402),f1(x3403,f1(x3404,a2)))),
% 117.40/117.41     inference(scs_inference,[],[335,85,183,2,34])).
% 117.40/117.41  cnf(346,plain,
% 117.40/117.41     (E(f1(x3461,f1(a2,x3462)),f1(x3463,a2))),
% 117.40/117.41     inference(scs_inference,[],[340,70,236,2,34])).
% 117.40/117.41  cnf(352,plain,
% 117.40/117.41     (E(f1(f1(a2,x3521),x3522),f1(a2,x3523))),
% 117.40/117.41     inference(scs_inference,[],[346,85,243,2,34])).
% 117.40/117.41  cnf(358,plain,
% 117.40/117.41     (E(f1(x3581,f1(a2,x3582)),f1(a2,x3583))),
% 117.40/117.41     inference(scs_inference,[],[352,70,243,2,34])).
% 117.40/117.41  cnf(364,plain,
% 117.40/117.41     (E(f1(f1(a2,x3641),x3642),f1(x3643,a2))),
% 117.40/117.41     inference(scs_inference,[],[358,85,236,2,34])).
% 117.40/117.41  cnf(370,plain,
% 117.40/117.41     (E(f1(x3701,f1(a2,x3702)),f3(a2,x3703))),
% 117.40/117.41     inference(scs_inference,[],[364,70,220,2,34])).
% 117.40/117.41  cnf(375,plain,
% 117.40/117.41     (E(f3(a2,x3751),f1(x3752,f1(a2,x3753)))),
% 117.40/117.41     inference(scs_inference,[],[370,2])).
% 117.40/117.41  cnf(402,plain,
% 117.40/117.41     (~E(a8,f1(f1(a2,x4021),x4022))),
% 117.40/117.41     inference(scs_inference,[],[91,322,3])).
% 117.40/117.41  cnf(426,plain,
% 117.40/117.41     (~E(f3(a4,a8),f1(f1(a2,x4261),x4262))),
% 117.40/117.41     inference(scs_inference,[],[107,322,3])).
% 117.40/117.41  cnf(440,plain,
% 117.40/117.41     (~E(f3(a4,a8),f3(a2,x4401))),
% 117.40/117.41     inference(scs_inference,[],[107,375,3])).
% 117.40/117.41  cnf(447,plain,
% 117.40/117.41     (P2(f6(f1(f3(a4,a8),a8),a2),f3(a4,a8))),
% 117.40/117.41     inference(scs_inference,[],[57,27,31])).
% 117.40/117.41  cnf(459,plain,
% 117.40/117.41     (~P1(a8,f1(a2,x4591))),
% 117.40/117.41     inference(scs_inference,[],[109,259,26])).
% 117.40/117.41  cnf(464,plain,
% 117.40/117.41     (P2(f6(f1(f3(a4,a8),a8),a2),a8)),
% 117.40/117.41     inference(scs_inference,[],[57,27,30])).
% 117.40/117.41  cnf(484,plain,
% 117.40/117.41     (~P1(f3(a4,a8),f1(a2,x4841))),
% 117.40/117.41     inference(scs_inference,[],[146,259,26])).
% 117.40/117.41  cnf(518,plain,
% 117.40/117.41     (P3(f1(x5181,f1(x5182,f1(x5183,a2))))),
% 117.40/117.41     inference(scs_inference,[],[183,30,24])).
% 117.40/117.41  cnf(519,plain,
% 117.40/117.41     (E(f1(x5191,f1(x5192,a2)),f1(a2,x5193))),
% 117.40/117.41     inference(scs_inference,[],[183,243,34])).
% 117.40/117.41  cnf(543,plain,
% 117.40/117.41     (P3(f1(x5431,f3(a2,x5432)))),
% 117.40/117.41     inference(scs_inference,[],[220,30,24])).
% 117.40/117.41  cnf(544,plain,
% 117.40/117.41     (~P2(x5441,f1(x5442,f3(a2,x5443)))),
% 117.40/117.41     inference(scs_inference,[],[543,25])).
% 117.40/117.41  cnf(546,plain,
% 117.40/117.41     (P1(f1(x5461,f3(a2,x5462)),x5463)),
% 117.40/117.41     inference(scs_inference,[],[543,25,27])).
% 117.40/117.41  cnf(548,plain,
% 117.40/117.41     (~P2(x5481,f1(f3(a2,x5482),x5483))),
% 117.40/117.41     inference(scs_inference,[],[543,25,27,65])).
% 117.40/117.41  cnf(550,plain,
% 117.40/117.41     (P3(f1(f3(a2,x5501),x5502))),
% 117.40/117.41     inference(scs_inference,[],[19,543,25,27,65,17])).
% 117.40/117.41  cnf(557,plain,
% 117.40/117.41     (~E(f3(a2,x5571),f3(a4,a8))),
% 117.40/117.41     inference(scs_inference,[],[220,62,236,19,543,25,27,65,17,34,13,5])).
% 117.40/117.41  cnf(558,plain,
% 117.40/117.41     (E(f1(x5581,a2),f3(a2,x5582))),
% 117.40/117.41     inference(scs_inference,[],[220,62,236,19,543,25,27,65,17,34,13,5,2])).
% 117.40/117.41  cnf(559,plain,
% 117.40/117.41     (E(f1(a8,f3(a2,x5591)),a2)),
% 117.40/117.41     inference(scs_inference,[],[220,62,39,236,19,543,25,27,65,17,34,13,5,2,26])).
% 117.40/117.41  cnf(563,plain,
% 117.40/117.41     (~E(a2,a4)),
% 117.40/117.41     inference(scs_inference,[],[220,62,21,39,236,19,543,25,27,65,17,34,13,5,2,26,3,8])).
% 117.40/117.41  cnf(569,plain,
% 117.40/117.41     (E(f3(a2,x5691),f1(a2,x5692))),
% 117.40/117.41     inference(scs_inference,[],[220,559,243,548,27,2,34])).
% 117.40/117.41  cnf(573,plain,
% 117.40/117.41     (~P1(f3(a4,a8),f3(a2,x5731))),
% 117.40/117.41     inference(scs_inference,[],[220,559,557,224,243,548,27,2,34,26])).
% 117.40/117.41  cnf(578,plain,
% 117.40/117.41     (~E(f3(a2,x5781),a8)),
% 117.40/117.41     inference(scs_inference,[],[220,57,559,546,557,224,243,548,27,2,34,26,13,5])).
% 117.40/117.41  cnf(579,plain,
% 117.40/117.41     (~P2(x5791,f1(f1(x5792,f3(a2,x5793)),x5794))),
% 117.40/117.41     inference(scs_inference,[],[220,30,31])).
% 117.40/117.41  cnf(581,plain,
% 117.40/117.41     (E(f3(a2,x5811),f1(x5812,f3(a2,x5813)))),
% 117.40/117.41     inference(scs_inference,[],[220,569,544,2,34])).
% 117.40/117.41  cnf(585,plain,
% 117.40/117.41     (~P1(a8,f3(a2,x5851))),
% 117.40/117.41     inference(scs_inference,[],[220,569,578,224,544,2,34,26])).
% 117.40/117.41  cnf(592,plain,
% 117.40/117.42     (E(f3(a2,x5921),f1(f3(a2,x5922),x5923))),
% 117.40/117.42     inference(scs_inference,[],[220,581,548,2,34])).
% 117.40/117.42  cnf(600,plain,
% 117.40/117.42     (E(f1(f3(a2,x6001),x6002),f3(a2,x6003))),
% 117.40/117.42     inference(scs_inference,[],[592,2])).
% 117.40/117.42  cnf(609,plain,
% 117.40/117.42     (~E(f3(a4,a8),f1(f3(a2,x6091),x6092))),
% 117.40/117.42     inference(scs_inference,[],[440,600,3])).
% 117.40/117.42  cnf(668,plain,
% 117.40/117.42     (~P2(x6681,f3(f1(a2,x6682),x6683))),
% 117.40/117.42     inference(scs_inference,[],[237,32,65])).
% 117.40/117.42  cnf(669,plain,
% 117.40/117.42     (P3(f3(f1(a2,x6691),x6692))),
% 117.40/117.42     inference(scs_inference,[],[668,24])).
% 117.40/117.42  cnf(670,plain,
% 117.40/117.42     (~P2(x6701,f3(f1(a2,x6702),x6703))),
% 117.40/117.42     inference(rename_variables,[],[668])).
% 117.40/117.42  cnf(672,plain,
% 117.40/117.42     (P1(f3(f1(a2,x6721),x6722),x6723)),
% 117.40/117.42     inference(scs_inference,[],[668,670,24,27])).
% 117.40/117.42  cnf(673,plain,
% 117.40/117.42     (~P2(x6731,f3(f1(a2,x6732),x6733))),
% 117.40/117.42     inference(rename_variables,[],[668])).
% 117.40/117.42  cnf(675,plain,
% 117.40/117.42     (E(f1(x6751,f1(a2,x6752)),f3(f1(a2,x6753),x6754))),
% 117.40/117.42     inference(scs_inference,[],[70,668,670,673,24,27,34])).
% 117.40/117.42  cnf(679,plain,
% 117.40/117.42     (~P1(f3(a4,a8),f1(x6791,a2))),
% 117.40/117.42     inference(scs_inference,[],[234,240,70,668,670,673,24,27,34,26])).
% 117.40/117.42  cnf(684,plain,
% 117.40/117.42     (E(f3(f1(a2,x6841),x6842),f1(x6843,f1(a2,x6844)))),
% 117.40/117.42     inference(scs_inference,[],[675,2])).
% 117.40/117.42  cnf(685,plain,
% 117.40/117.42     (E(f1(f1(a2,x6851),x6852),f3(f1(a2,x6853),x6854))),
% 117.40/117.42     inference(scs_inference,[],[675,85,668,2,34])).
% 117.40/117.42  cnf(697,plain,
% 117.40/117.42     (~P2(x6971,f3(f1(x6972,a2),x6973))),
% 117.40/117.42     inference(scs_inference,[],[256,32,65])).
% 117.40/117.42  cnf(698,plain,
% 117.40/117.42     (P3(f3(f1(x6981,a2),x6982))),
% 117.40/117.42     inference(scs_inference,[],[697,24])).
% 117.40/117.42  cnf(699,plain,
% 117.40/117.42     (~P2(x6991,f3(f1(x6992,a2),x6993))),
% 117.40/117.42     inference(rename_variables,[],[697])).
% 117.40/117.42  cnf(701,plain,
% 117.40/117.42     (P1(f3(f1(x7011,a2),x7012),x7013)),
% 117.40/117.42     inference(scs_inference,[],[697,699,24,27])).
% 117.40/117.42  cnf(702,plain,
% 117.40/117.42     (~P2(x7021,f3(f1(x7022,a2),x7023))),
% 117.40/117.42     inference(rename_variables,[],[697])).
% 117.40/117.42  cnf(704,plain,
% 117.40/117.42     (E(f3(f1(a2,x7041),x7042),f1(f1(a2,x7043),x7044))),
% 117.40/117.42     inference(scs_inference,[],[685,697,699,24,27,2])).
% 117.40/117.42  cnf(705,plain,
% 117.40/117.42     (E(f1(x7051,f1(a2,x7052)),f3(f1(x7053,a2),x7054))),
% 117.40/117.42     inference(scs_inference,[],[685,70,697,699,702,24,27,2,34])).
% 117.40/117.42  cnf(714,plain,
% 117.40/117.42     (E(f3(f1(x7141,a2),x7142),f1(x7143,f1(a2,x7144)))),
% 117.40/117.42     inference(scs_inference,[],[705,2])).
% 117.40/117.42  cnf(715,plain,
% 117.40/117.42     (E(f1(f1(a2,x7151),x7152),f3(f1(x7153,a2),x7154))),
% 117.40/117.42     inference(scs_inference,[],[705,85,697,2,34])).
% 117.40/117.42  cnf(729,plain,
% 117.40/117.42     (E(f3(f1(x7291,a2),x7292),f1(f1(a2,x7293),x7294))),
% 117.40/117.42     inference(scs_inference,[],[715,2])).
% 117.40/117.42  cnf(740,plain,
% 117.40/117.42     (E(f1(a2,x7401),f1(x7402,a2))),
% 117.40/117.42     inference(scs_inference,[],[236,243,34,2])).
% 117.40/117.42  cnf(742,plain,
% 117.40/117.42     (E(f1(x7421,a2),f1(x7422,f3(a2,x7423)))),
% 117.40/117.42     inference(scs_inference,[],[236,544,34])).
% 117.40/117.42  cnf(766,plain,
% 117.40/117.42     (~P2(f6(f3(a4,a8),f1(a2,x7661)),a8)),
% 117.40/117.42     inference(scs_inference,[],[484,36,27])).
% 117.40/117.42  cnf(768,plain,
% 117.40/117.42     (~P2(f6(f3(a4,a8),f3(a2,x7681)),a8)),
% 117.40/117.42     inference(scs_inference,[],[573,36,27])).
% 117.40/117.42  cnf(780,plain,
% 117.40/117.42     (~P2(f6(f3(a4,a8),f1(x7801,a2)),a8)),
% 117.40/117.42     inference(scs_inference,[],[679,36,27])).
% 117.40/117.42  cnf(792,plain,
% 117.40/117.42     (~P2(f7(f1(a2,x7921),f3(a4,a8)),a8)),
% 117.40/117.42     inference(scs_inference,[],[243,146,36,34])).
% 117.40/117.42  cnf(833,plain,
% 117.40/117.42     (~P1(f3(a4,a8),a2)),
% 117.40/117.42     inference(scs_inference,[],[285,39,26])).
% 117.40/117.42  cnf(881,plain,
% 117.40/117.42     (~P1(a8,f1(x8811,a2))),
% 117.40/117.42     inference(scs_inference,[],[295,240,26])).
% 117.40/117.42  cnf(900,plain,
% 117.40/117.42     (~P1(a8,a2)),
% 117.40/117.42     inference(scs_inference,[],[302,39,26])).
% 117.40/117.42  cnf(954,plain,
% 117.40/117.42     (~E(a8,f3(f1(a2,x9541),x9542))),
% 117.40/117.42     inference(scs_inference,[],[402,684,3])).
% 117.40/117.42  cnf(958,plain,
% 117.40/117.42     (~E(a8,f3(f1(x9581,a2),x9582))),
% 117.40/117.42     inference(scs_inference,[],[402,714,3])).
% 117.40/117.42  cnf(966,plain,
% 117.40/117.42     (~E(f3(a4,a8),f3(f1(a2,x9661),x9662))),
% 117.40/117.42     inference(scs_inference,[],[426,704,3])).
% 117.40/117.42  cnf(968,plain,
% 117.40/117.42     (~E(a4,f1(a2,x9681))),
% 117.40/117.42     inference(scs_inference,[],[426,704,3,8])).
% 117.40/117.42  cnf(969,plain,
% 117.40/117.42     (~E(f3(a4,a8),f3(f1(x9691,a2),x9692))),
% 117.40/117.42     inference(scs_inference,[],[426,729,3])).
% 117.40/117.42  cnf(1006,plain,
% 117.40/117.42     (E(f1(x10061,f3(a2,x10062)),f1(f1(x10063,a2),x10064))),
% 117.40/117.42     inference(scs_inference,[],[544,176,34])).
% 117.40/117.42  cnf(1012,plain,
% 117.40/117.42     (E(f1(x10121,f3(a2,x10122)),f1(x10123,f1(x10124,a2)))),
% 117.40/117.42     inference(scs_inference,[],[544,1006,183,2,34])).
% 117.40/117.42  cnf(1017,plain,
% 117.40/117.42     (E(f1(x10171,f3(a2,x10172)),f1(f3(a2,x10173),x10174))),
% 117.40/117.42     inference(scs_inference,[],[544,1012,548,2,34])).
% 117.40/117.42  cnf(1023,plain,
% 117.40/117.42     (E(f1(x10231,f3(a2,x10232)),a2)),
% 117.40/117.42     inference(scs_inference,[],[544,1017,20,2,34])).
% 117.40/117.42  cnf(1028,plain,
% 117.40/117.42     (E(a2,f1(x10281,f3(a2,x10282)))),
% 117.40/117.42     inference(scs_inference,[],[1023,2])).
% 117.40/117.42  cnf(1029,plain,
% 117.40/117.42     (E(f1(x10291,f3(a2,x10292)),f3(f1(a2,x10293),x10294))),
% 117.40/117.42     inference(scs_inference,[],[544,1023,668,2,34])).
% 117.40/117.42  cnf(1033,plain,
% 117.40/117.42     (E(f3(f1(a2,x10331),x10332),f1(x10333,f3(a2,x10334)))),
% 117.40/117.42     inference(scs_inference,[],[1029,2])).
% 117.40/117.42  cnf(1034,plain,
% 117.40/117.42     (E(f1(x10341,f3(a2,x10342)),f3(f1(x10343,a2),x10344))),
% 117.40/117.42     inference(scs_inference,[],[544,1029,697,2,34])).
% 117.40/117.42  cnf(1039,plain,
% 117.40/117.42     (E(f3(f1(x10391,a2),x10392),f1(x10393,f3(a2,x10394)))),
% 117.40/117.42     inference(scs_inference,[],[1034,2])).
% 117.40/117.42  cnf(1041,plain,
% 117.40/117.42     (E(f1(f3(a2,x10411),x10412),f1(f1(x10413,a2),x10414))),
% 117.40/117.42     inference(scs_inference,[],[548,176,34])).
% 117.40/117.42  cnf(1045,plain,
% 117.40/117.42     (~E(f1(a2,x10451),a4)),
% 117.40/117.42     inference(scs_inference,[],[966,8,2])).
% 117.40/117.42  cnf(1047,plain,
% 117.40/117.42     (E(f1(f3(a2,x10471),x10472),f1(x10473,f1(x10474,a2)))),
% 117.40/117.42     inference(scs_inference,[],[548,1041,183,2,34])).
% 117.40/117.42  cnf(1057,plain,
% 117.40/117.42     (E(f1(f3(a2,x10571),x10572),a2)),
% 117.40/117.42     inference(scs_inference,[],[548,1047,20,2,34])).
% 117.40/117.42  cnf(1067,plain,
% 117.40/117.42     (E(f1(f3(a2,x10671),x10672),f3(f1(a2,x10673),x10674))),
% 117.40/117.42     inference(scs_inference,[],[548,1057,668,2,34])).
% 117.40/117.42  cnf(1081,plain,
% 117.40/117.42     (~P1(a4,f1(a2,x10811))),
% 117.40/117.42     inference(scs_inference,[],[548,1067,1045,259,697,2,34,26])).
% 117.40/117.42  cnf(1087,plain,
% 117.40/117.42     (~E(f1(x10871,a2),a4)),
% 117.40/117.42     inference(scs_inference,[],[969,8,2])).
% 117.40/117.42  cnf(1103,plain,
% 117.40/117.42     (~P1(a4,f1(x11031,a2))),
% 117.40/117.42     inference(scs_inference,[],[1087,240,26])).
% 117.40/117.42  cnf(1117,plain,
% 117.40/117.42     (~P1(a4,a2)),
% 117.40/117.42     inference(scs_inference,[],[563,39,26])).
% 117.40/117.42  cnf(1275,plain,
% 117.40/117.42     (~E(a4,f3(f1(a2,x12751),x12752))),
% 117.40/117.42     inference(scs_inference,[],[968,1033,3])).
% 117.40/117.42  cnf(1279,plain,
% 117.40/117.42     (~E(a4,f3(f1(x12791,a2),x12792))),
% 117.40/117.42     inference(scs_inference,[],[968,1039,3])).
% 117.40/117.42  cnf(1583,plain,
% 117.40/117.42     (~P2(f7(f1(a2,x15831),f3(a4,a8)),f1(x15832,a8))),
% 117.40/117.42     inference(scs_inference,[],[792,30])).
% 117.40/117.42  cnf(1585,plain,
% 117.40/117.42     (~P2(f7(f1(a2,x15851),f3(a4,a8)),f1(a8,x15852))),
% 117.40/117.42     inference(scs_inference,[],[792,30,31])).
% 117.40/117.42  cnf(1587,plain,
% 117.40/117.42     (~P2(f7(f1(a2,x15871),f3(a4,a8)),f3(a8,x15872))),
% 117.40/117.42     inference(scs_inference,[],[792,30,31,32])).
% 117.40/117.42  cnf(1590,plain,
% 117.40/117.42     (E(f7(a2,x15901),f7(f3(a2,x15902),x15901))),
% 117.40/117.42     inference(scs_inference,[],[792,227,30,31,32,12,6])).
% 117.40/117.42  cnf(1591,plain,
% 117.40/117.42     (E(f7(x15911,a2),f7(x15911,f3(a2,x15912)))),
% 117.40/117.42     inference(scs_inference,[],[792,227,30,31,32,12,6,7])).
% 117.40/117.42  cnf(1592,plain,
% 117.40/117.42     (E(f3(x15921,a2),f3(x15921,f3(a2,x15922)))),
% 117.40/117.42     inference(scs_inference,[],[792,227,30,31,32,12,6,7,9])).
% 117.40/117.42  cnf(1593,plain,
% 117.40/117.42     (E(f6(a2,x15931),f6(f3(a2,x15932),x15931))),
% 117.40/117.42     inference(scs_inference,[],[792,227,30,31,32,12,6,7,9,10])).
% 117.40/117.42  cnf(1594,plain,
% 117.40/117.42     (E(f6(x15941,a2),f6(x15941,f3(a2,x15942)))),
% 117.40/117.42     inference(scs_inference,[],[792,227,30,31,32,12,6,7,9,10,11])).
% 117.40/117.42  cnf(1595,plain,
% 117.40/117.42     (E(f3(a2,x15951),f3(f3(a2,x15952),x15951))),
% 117.40/117.42     inference(scs_inference,[],[792,227,30,31,32,12,6,7,9,10,11,8])).
% 117.40/117.42  cnf(1598,plain,
% 117.40/117.42     (P2(f6(a8,a2),a8)),
% 117.40/117.42     inference(scs_inference,[],[792,900,227,30,31,32,12,6,7,9,10,11,8,23,27])).
% 117.40/117.42  cnf(1600,plain,
% 117.40/117.42     (~E(f1(f3(a2,x16001),x16002),f3(a4,a8))),
% 117.40/117.42     inference(scs_inference,[],[609,792,900,227,30,31,32,12,6,7,9,10,11,8,23,27,2])).
% 117.40/117.42  cnf(1601,plain,
% 117.40/117.42     (~P2(f6(f3(a4,a8),a2),a8)),
% 117.40/117.42     inference(scs_inference,[],[609,792,768,900,227,30,31,32,12,6,7,9,10,11,8,23,27,2,15])).
% 117.40/117.42  cnf(1602,plain,
% 117.40/117.42     (P2(f6(a8,a2),f3(a8,f1(a2,x16021)))),
% 117.40/117.42     inference(scs_inference,[],[609,792,768,900,227,243,30,31,32,12,6,7,9,10,11,8,23,27,2,15,29])).
% 117.40/117.42  cnf(1605,plain,
% 117.40/117.42     (P2(f6(a8,a2),f1(a8,a8))),
% 117.40/117.42     inference(scs_inference,[],[609,792,768,900,227,243,30,31,32,12,6,7,9,10,11,8,23,27,2,15,29,35])).
% 117.40/117.42  cnf(1607,plain,
% 117.40/117.42     (~P1(a4,f3(a2,x16071))),
% 117.40/117.42     inference(scs_inference,[],[609,792,768,900,1117,227,235,243,30,31,32,12,6,7,9,10,11,8,23,27,2,15,29,35,14])).
% 117.40/117.42  cnf(1608,plain,
% 117.40/117.42     (P2(f7(a8,a2),a8)),
% 117.40/117.42     inference(scs_inference,[],[284,609,792,768,900,1117,227,235,243,20,30,31,32,12,6,7,9,10,11,8,23,27,2,15,29,35,14,34])).
% 117.40/117.42  cnf(1611,plain,
% 117.40/117.42     (~E(f3(a2,x16111),a4)),
% 117.40/117.42     inference(scs_inference,[],[18,284,609,792,768,900,1117,227,235,243,20,30,31,32,12,6,7,9,10,11,8,23,27,2,15,29,35,14,34,13])).
% 117.40/117.42  cnf(1618,plain,
% 117.40/117.42     (~P2(f6(a8,a2),f3(x16181,a8))),
% 117.40/117.42     inference(scs_inference,[],[18,284,609,954,792,768,900,1117,262,227,578,235,672,243,20,30,31,32,12,6,7,9,10,11,8,23,27,2,15,29,35,14,34,13,26,3,36])).
% 117.40/117.42  cnf(1620,plain,
% 117.40/117.42     (~P3(a8)),
% 117.40/117.42     inference(scs_inference,[],[18,284,609,954,792,768,900,1117,262,227,578,235,672,243,20,30,31,32,12,6,7,9,10,11,8,23,27,2,15,29,35,14,34,13,26,3,36,25])).
% 117.40/117.42  cnf(1622,plain,
% 117.40/117.42     (P2(f5(a8),a8)),
% 117.40/117.42     inference(scs_inference,[],[18,284,609,954,792,768,900,1117,262,227,578,235,672,243,20,30,31,32,12,6,7,9,10,11,8,23,27,2,15,29,35,14,34,13,26,3,36,25,24])).
% 117.40/117.42  cnf(1624,plain,
% 117.40/117.42     (~P3(f1(a8,a8))),
% 117.40/117.42     inference(scs_inference,[],[18,284,609,954,792,768,900,1117,262,227,578,235,672,243,20,30,31,32,12,6,7,9,10,11,8,23,27,2,15,29,35,14,34,13,26,3,36,25,24,65])).
% 117.40/117.42  cnf(1628,plain,
% 117.40/117.42     (~E(f3(a2,x16281),f1(a8,a8))),
% 117.40/117.42     inference(scs_inference,[],[18,284,609,954,792,768,900,1117,221,262,227,578,235,672,243,20,30,31,32,12,6,7,9,10,11,8,23,27,2,15,29,35,14,34,13,26,3,36,25,24,65,28,17])).
% 117.40/117.42  cnf(1635,plain,
% 117.40/117.42     (E(f7(x16351,f1(x16352,a2)),f7(x16351,a2))),
% 117.40/117.42     inference(scs_inference,[],[1618,1605,277,32,36,7])).
% 117.40/117.42  cnf(1640,plain,
% 117.40/117.42     (E(f3(x16401,f1(x16402,a2)),f3(x16401,a2))),
% 117.40/117.42     inference(scs_inference,[],[1618,1605,277,32,36,7,31,30,9])).
% 117.40/117.42  cnf(1641,plain,
% 117.40/117.42     (E(f7(f1(x16411,a2),x16412),f7(a2,x16412))),
% 117.40/117.42     inference(scs_inference,[],[1618,1605,277,32,36,7,31,30,9,6])).
% 117.40/117.42  cnf(1642,plain,
% 117.40/117.42     (E(f6(f1(x16421,a2),x16422),f6(a2,x16422))),
% 117.40/117.42     inference(scs_inference,[],[1618,1605,277,32,36,7,31,30,9,6,10])).
% 117.40/117.42  cnf(1643,plain,
% 117.40/117.42     (E(f6(x16431,f1(x16432,a2)),f6(x16431,a2))),
% 117.40/117.42     inference(scs_inference,[],[1618,1605,277,32,36,7,31,30,9,6,10,11])).
% 117.40/117.42  cnf(1644,plain,
% 117.40/117.42     (E(f5(f1(x16441,a2)),f5(a2))),
% 117.40/117.42     inference(scs_inference,[],[1618,1605,277,32,36,7,31,30,9,6,10,11,12])).
% 117.40/117.42  cnf(1645,plain,
% 117.40/117.42     (~P3(f3(a8,f1(a2,x16451)))),
% 117.40/117.42     inference(scs_inference,[],[1618,1605,1602,277,32,36,7,31,30,9,6,10,11,12,25])).
% 117.40/117.42  cnf(1649,plain,
% 117.40/117.42     (P1(f7(a2,x16491),f7(f3(a2,x16492),x16491))),
% 117.40/117.42     inference(scs_inference,[],[1618,1624,1605,1590,1602,277,32,36,7,31,30,9,6,10,11,12,25,24,23])).
% 117.40/117.42  cnf(1651,plain,
% 117.40/117.42     (E(f3(f3(a2,x16511),x16512),f3(a2,x16512))),
% 117.40/117.42     inference(scs_inference,[],[1618,1624,1605,1590,1602,277,235,32,36,7,31,30,9,6,10,11,12,25,24,23,8])).
% 117.40/117.42  cnf(1652,plain,
% 117.40/117.42     (P2(f6(a4,f3(a2,x16521)),a4)),
% 117.40/117.42     inference(scs_inference,[],[1618,1624,1605,1607,1590,1602,277,235,32,36,7,31,30,9,6,10,11,12,25,24,23,8,27])).
% 117.40/117.42  cnf(1654,plain,
% 117.40/117.42     (~E(f1(a8,a8),f3(a2,x16541))),
% 117.40/117.42     inference(scs_inference,[],[1618,1628,1624,1605,1607,1590,1602,277,235,32,36,7,31,30,9,6,10,11,12,25,24,23,8,27,2])).
% 117.40/117.42  cnf(1655,plain,
% 117.40/117.42     (P2(f6(a8,a2),f3(f1(a8,a8),f3(x16551,a8)))),
% 117.40/117.42     inference(scs_inference,[],[1618,1628,1624,1605,1607,1590,1602,277,235,32,36,7,31,30,9,6,10,11,12,25,24,23,8,27,2,29])).
% 117.40/117.42  cnf(1662,plain,
% 117.40/117.42     (P1(x16621,x16621)),
% 117.40/117.42     inference(rename_variables,[],[18])).
% 117.40/117.42  cnf(1663,plain,
% 117.40/117.42     (P2(f7(f1(a2,a8),f3(a4,a8)),f3(a4,a8))),
% 117.40/117.42     inference(scs_inference,[],[18,1620,1618,1628,1624,1605,1607,1583,1590,1591,1602,669,277,235,146,32,36,7,31,30,9,6,10,11,12,25,24,23,8,27,2,29,15,35,17,14,34])).
% 117.40/117.42  cnf(1667,plain,
% 117.40/117.42     (P1(f7(f3(a2,x16671),x16672),f7(a2,x16672))),
% 117.40/117.42     inference(scs_inference,[],[18,1662,1620,1618,1628,1624,1605,1607,1583,1590,1591,1602,669,277,235,146,32,36,7,31,30,9,6,10,11,12,25,24,23,8,27,2,29,15,35,17,14,34,13])).
% 117.40/117.42  cnf(1669,plain,
% 117.40/117.42     (~P1(f1(a8,a8),f3(a2,x16691))),
% 117.40/117.42     inference(scs_inference,[],[18,1662,1620,1618,1628,1624,1605,1607,1583,1590,1591,1602,669,277,235,146,224,32,36,7,31,30,9,6,10,11,12,25,24,23,8,27,2,29,15,35,17,14,34,13,26])).
% 117.40/117.42  cnf(1676,plain,
% 117.40/117.42     (~E(a2,f1(a8,a8))),
% 117.40/117.42     inference(scs_inference,[],[18,1662,1620,1618,1628,1624,1605,1607,1600,1583,1590,1591,1602,669,742,277,235,146,224,32,36,7,31,30,9,6,10,11,12,25,24,23,8,27,2,29,15,35,17,14,34,13,26,3,48])).
% 117.40/117.42  cnf(1677,plain,
% 117.40/117.42     (~P3(f1(f1(a8,a8),f1(a8,a8)))),
% 117.40/117.42     inference(scs_inference,[],[18,1662,1620,1618,1628,1624,1605,1607,1600,1583,1590,1591,1602,669,742,277,235,146,224,32,36,7,31,30,9,6,10,11,12,25,24,23,8,27,2,29,15,35,17,14,34,13,26,3,48,65])).
% 117.40/117.42  cnf(1686,plain,
% 117.40/117.42     (~P2(f5(a8),f3(x16861,a8))),
% 117.40/117.42     inference(scs_inference,[],[1622,780,32,36])).
% 117.40/117.42  cnf(1688,plain,
% 117.40/117.42     (E(f7(x16881,a2),f7(x16881,f1(x16882,a2)))),
% 117.40/117.42     inference(scs_inference,[],[1622,780,246,32,36,7])).
% 117.40/117.42  cnf(1691,plain,
% 117.40/117.42     (E(f3(x16911,a2),f3(x16911,f1(x16912,a2)))),
% 117.40/117.42     inference(scs_inference,[],[1622,780,246,32,36,7,30,9])).
% 117.40/117.42  cnf(1694,plain,
% 117.40/117.42     (E(f7(a2,x16941),f7(f1(x16942,a2),x16941))),
% 117.40/117.42     inference(scs_inference,[],[1622,780,246,32,36,7,30,9,31,6])).
% 117.40/117.42  cnf(1695,plain,
% 117.40/117.42     (E(f6(a2,x16951),f6(f1(x16952,a2),x16951))),
% 117.40/117.42     inference(scs_inference,[],[1622,780,246,32,36,7,30,9,31,6,10])).
% 117.40/117.42  cnf(1696,plain,
% 117.40/117.42     (E(f6(x16961,a2),f6(x16961,f1(x16962,a2)))),
% 117.40/117.42     inference(scs_inference,[],[1622,780,246,32,36,7,30,9,31,6,10,11])).
% 117.40/117.42  cnf(1697,plain,
% 117.40/117.42     (E(f5(a2),f5(f1(x16971,a2)))),
% 117.40/117.42     inference(scs_inference,[],[1622,780,246,32,36,7,30,9,31,6,10,11,12])).
% 117.40/117.42  cnf(1698,plain,
% 117.40/117.42     (~P3(f3(a4,a8))),
% 117.40/117.42     inference(scs_inference,[],[1622,1663,780,246,32,36,7,30,9,31,6,10,11,12,25])).
% 117.40/117.42  cnf(1700,plain,
% 117.40/117.42     (P2(f5(f3(a4,a8)),f3(a4,a8))),
% 117.40/117.42     inference(scs_inference,[],[1622,1663,780,246,32,36,7,30,9,31,6,10,11,12,25,24])).
% 117.40/117.42  cnf(1706,plain,
% 117.40/117.42     (~E(f1(a8,a8),a2)),
% 117.40/117.42     inference(scs_inference,[],[1669,1622,1676,1663,1635,780,246,32,36,7,30,9,31,6,10,11,12,25,24,23,27,2])).
% 117.40/117.42  cnf(1707,plain,
% 117.40/117.42     (P2(f6(a8,a2),f3(a8,f3(x17071,a8)))),
% 117.40/117.42     inference(scs_inference,[],[1669,1622,1676,1598,1663,1635,780,246,1618,32,36,7,30,9,31,6,10,11,12,25,24,23,27,2,29])).
% 117.40/117.42  cnf(1709,plain,
% 117.40/117.42     (~P2(f7(a2,f3(a4,a8)),f1(a8,x17091))),
% 117.40/117.42     inference(scs_inference,[],[1669,1622,1676,1598,1663,1635,1585,780,246,1618,32,36,7,30,9,31,6,10,11,12,25,24,23,27,2,29,15])).
% 117.40/117.42  cnf(1711,plain,
% 117.40/117.42     (~E(f3(a4,a8),a8)),
% 117.40/117.42     inference(scs_inference,[],[1669,1622,1676,1598,1663,1635,1585,780,246,792,1618,32,36,7,30,9,31,6,10,11,12,25,24,23,27,2,29,15,16])).
% 117.40/117.42  cnf(1713,plain,
% 117.40/117.42     (P2(f5(a8),f1(a8,a8))),
% 117.40/117.42     inference(scs_inference,[],[1669,1622,1676,1598,1663,1635,1585,780,246,792,1618,32,36,7,30,9,31,6,10,11,12,25,24,23,27,2,29,15,16,35])).
% 117.40/117.42  cnf(1722,plain,
% 117.40/117.42     (E(f7(f3(a2,x17221),x17222),f7(a2,x17222))),
% 117.40/117.42     inference(scs_inference,[],[18,291,1669,1622,1676,1598,1663,1635,1667,1585,1677,1649,780,42,833,211,246,792,1618,20,32,36,7,30,9,31,6,10,11,12,25,24,23,27,2,29,15,16,35,17,14,34,13,26])).
% 117.40/117.42  cnf(1725,plain,
% 117.40/117.42     (E(f7(f1(x17251,a2),f1(x17252,a2)),f7(a2,a2))),
% 117.40/117.42     inference(scs_inference,[],[18,291,1669,1622,1676,1598,1663,1635,1641,1667,1585,1677,1649,780,42,833,211,246,792,1618,20,32,36,7,30,9,31,6,10,11,12,25,24,23,27,2,29,15,16,35,17,14,34,13,26,3])).
% 117.40/117.42  cnf(1733,plain,
% 117.40/117.42     (E(f7(x17331,a2),f7(x17331,f1(a2,x17332)))),
% 117.40/117.42     inference(scs_inference,[],[1713,1686,266,32,36,7])).
% 117.40/117.42  cnf(1738,plain,
% 117.40/117.42     (E(f3(x17381,a2),f3(x17381,f1(a2,x17382)))),
% 117.40/117.42     inference(scs_inference,[],[1713,1686,266,32,36,7,31,30,9])).
% 117.40/117.42  cnf(1739,plain,
% 117.40/117.42     (E(f7(a2,x17391),f7(f1(a2,x17392),x17391))),
% 117.40/117.42     inference(scs_inference,[],[1713,1686,266,32,36,7,31,30,9,6])).
% 117.40/117.42  cnf(1740,plain,
% 117.40/117.42     (E(f6(a2,x17401),f6(f1(a2,x17402),x17401))),
% 117.40/117.42     inference(scs_inference,[],[1713,1686,266,32,36,7,31,30,9,6,10])).
% 117.40/117.42  cnf(1741,plain,
% 117.40/117.42     (E(f6(x17411,a2),f6(x17411,f1(a2,x17412)))),
% 117.40/117.42     inference(scs_inference,[],[1713,1686,266,32,36,7,31,30,9,6,10,11])).
% 117.40/117.42  cnf(1742,plain,
% 117.40/117.42     (E(f5(a2),f5(f1(a2,x17421)))),
% 117.40/117.42     inference(scs_inference,[],[1713,1686,266,32,36,7,31,30,9,6,10,11,12])).
% 117.40/117.42  cnf(1743,plain,
% 117.40/117.42     (~P3(f3(f1(a8,a8),f3(x17431,a8)))),
% 117.40/117.42     inference(scs_inference,[],[1713,1686,1655,266,32,36,7,31,30,9,6,10,11,12,25])).
% 117.40/117.42  cnf(1745,plain,
% 117.40/117.42     (P1(f7(f1(x17451,a2),f1(x17452,a2)),f7(a2,a2))),
% 117.40/117.42     inference(scs_inference,[],[1713,1686,1725,1655,266,32,36,7,31,30,9,6,10,11,12,25,23])).
% 117.40/117.42  cnf(1747,plain,
% 117.40/117.42     (P2(f6(a8,f1(a2,x17471)),a8)),
% 117.40/117.42     inference(scs_inference,[],[1713,1686,1725,1655,459,266,32,36,7,31,30,9,6,10,11,12,25,23,27])).
% 117.40/117.42  cnf(1752,plain,
% 117.40/117.42     (~E(f5(f3(a4,a8)),f5(a8))),
% 117.40/117.42     inference(scs_inference,[],[1713,1686,1711,1700,1725,1655,459,266,32,36,7,31,30,9,6,10,11,12,25,23,27,2,29,15])).
% 117.40/117.42  cnf(1756,plain,
% 117.40/117.42     (~E(f3(a2,x17561),f3(a8,f1(a2,x17562)))),
% 117.40/117.42     inference(scs_inference,[],[1713,1686,1711,1700,1725,1655,1645,459,221,266,32,36,7,31,30,9,6,10,11,12,25,23,27,2,29,15,35,17])).
% 117.40/117.42  cnf(1757,plain,
% 117.40/117.42     (P1(f6(f1(x17571,a2),x17572),f6(a2,x17572))),
% 117.40/117.42     inference(scs_inference,[],[18,1713,1686,1711,1700,1725,1642,1655,1645,459,221,266,32,36,7,31,30,9,6,10,11,12,25,23,27,2,29,15,35,17,14])).
% 117.40/117.42  cnf(1758,plain,
% 117.40/117.42     (P1(x17581,x17581)),
% 117.40/117.42     inference(rename_variables,[],[18])).
% 117.40/117.42  cnf(1759,plain,
% 117.40/117.42     (P2(f7(f3(a2,x17591),a4),a4)),
% 117.40/117.42     inference(scs_inference,[],[18,1713,1686,1711,1700,1725,1642,1655,1645,1611,459,221,266,220,32,36,7,31,30,9,6,10,11,12,25,23,27,2,29,15,35,17,14,34])).
% 117.40/117.42  cnf(1762,plain,
% 117.40/117.42     (P1(f7(a2,a2),f7(f1(x17621,a2),f1(x17622,a2)))),
% 117.40/117.42     inference(scs_inference,[],[18,1758,1713,1686,1711,1700,1725,1642,1655,1645,1611,459,221,266,220,32,36,7,31,30,9,6,10,11,12,25,23,27,2,29,15,35,17,14,34,13])).
% 117.40/117.42  cnf(1764,plain,
% 117.40/117.42     (~P1(f1(a8,a8),a2)),
% 117.40/117.42     inference(scs_inference,[],[18,1758,1713,1686,1711,1706,1700,1725,1642,1655,1645,1611,459,221,266,39,220,32,36,7,31,30,9,6,10,11,12,25,23,27,2,29,15,35,17,14,34,13,26])).
% 117.40/117.42  cnf(1769,plain,
% 117.40/117.42     (E(f7(x17691,f1(a2,x17692)),f7(x17691,a2))),
% 117.40/117.42     inference(scs_inference,[],[287,7])).
% 117.40/117.42  cnf(1772,plain,
% 117.40/117.42     (~P2(f6(a4,f3(a2,x17721)),f3(x17722,a4))),
% 117.40/117.42     inference(scs_inference,[],[1601,1652,287,7,32,36])).
% 117.40/117.42  cnf(1778,plain,
% 117.40/117.42     (E(f3(x17781,f1(a2,x17782)),f3(x17781,a2))),
% 117.40/117.42     inference(scs_inference,[],[1601,1652,287,7,32,36,31,30,9])).
% 117.40/117.42  cnf(1779,plain,
% 117.40/117.42     (E(f7(f1(a2,x17791),x17792),f7(a2,x17792))),
% 117.40/117.42     inference(scs_inference,[],[1601,1652,287,7,32,36,31,30,9,6])).
% 117.40/117.42  cnf(1780,plain,
% 117.40/117.42     (E(f6(f1(a2,x17801),x17802),f6(a2,x17802))),
% 117.40/117.42     inference(scs_inference,[],[1601,1652,287,7,32,36,31,30,9,6,10])).
% 117.40/117.42  cnf(1781,plain,
% 117.40/117.42     (E(f6(x17811,f1(a2,x17812)),f6(x17811,a2))),
% 117.40/117.42     inference(scs_inference,[],[1601,1652,287,7,32,36,31,30,9,6,10,11])).
% 117.40/117.42  cnf(1782,plain,
% 117.40/117.42     (E(f5(f1(a2,x17821)),f5(a2))),
% 117.40/117.42     inference(scs_inference,[],[1601,1652,287,7,32,36,31,30,9,6,10,11,12])).
% 117.40/117.42  cnf(1783,plain,
% 117.40/117.42     (~P3(f3(a8,f3(x17831,a8)))),
% 117.40/117.42     inference(scs_inference,[],[1707,1601,1652,287,7,32,36,31,30,9,6,10,11,12,25])).
% 117.40/117.42  cnf(1785,plain,
% 117.40/117.42     (P1(f3(x17851,f1(x17852,a2)),f3(x17851,a2))),
% 117.40/117.42     inference(scs_inference,[],[1640,1707,1601,1652,287,7,32,36,31,30,9,6,10,11,12,25,23])).
% 117.40/117.42  cnf(1803,plain,
% 117.40/117.42     (E(f3(f3(a2,x18031),f1(x18032,a2)),f3(a2,a2))),
% 117.40/117.42     inference(scs_inference,[],[1764,1745,1640,1651,1722,1709,1752,1762,1743,1707,1601,1652,1654,42,219,287,220,7,32,36,31,30,9,6,10,11,12,25,23,27,2,15,35,17,14,34,26,3])).
% 117.40/117.42  cnf(1806,plain,
% 117.40/117.42     (~P3(f1(a4,a4))),
% 117.40/117.42     inference(scs_inference,[],[1764,1745,1640,1651,1722,1709,1752,1762,1743,1707,1601,1652,1654,42,219,287,220,7,32,36,31,30,9,6,10,11,12,25,23,27,2,15,35,17,14,34,26,3,65])).
% 117.40/117.42  cnf(1819,plain,
% 117.40/117.42     (E(f7(x18191,f3(a2,x18192)),f7(x18191,a2))),
% 117.40/117.42     inference(scs_inference,[],[766,1747,235,36,32,7])).
% 117.40/117.42  cnf(1822,plain,
% 117.40/117.42     (E(f3(x18221,f3(a2,x18222)),f3(x18221,a2))),
% 117.40/117.42     inference(scs_inference,[],[766,1747,235,36,32,7,30,9])).
% 117.40/117.42  cnf(1825,plain,
% 117.40/117.42     (E(f6(f3(a2,x18251),x18252),f6(a2,x18252))),
% 117.40/117.42     inference(scs_inference,[],[766,1747,235,36,32,7,30,9,31,10])).
% 117.40/117.42  cnf(1826,plain,
% 117.40/117.42     (E(f6(x18261,f3(a2,x18262)),f6(x18261,a2))),
% 117.40/117.42     inference(scs_inference,[],[766,1747,235,36,32,7,30,9,31,10,11])).
% 117.40/117.42  cnf(1827,plain,
% 117.40/117.42     (E(f5(f3(a2,x18271)),f5(a2))),
% 117.40/117.42     inference(scs_inference,[],[766,1747,235,36,32,7,30,9,31,10,11,12])).
% 117.40/117.42  cnf(1828,plain,
% 117.40/117.42     (~P3(a4)),
% 117.40/117.42     inference(scs_inference,[],[766,1747,1759,235,36,32,7,30,9,31,10,11,12,25])).
% 117.40/117.42  cnf(1832,plain,
% 117.40/117.42     (P1(f3(f3(a2,x18321),f1(x18322,a2)),f3(a2,a2))),
% 117.40/117.42     inference(scs_inference,[],[1806,1803,766,1747,1759,235,36,32,7,30,9,31,10,11,12,25,24,23])).
% 117.40/117.42  cnf(1834,plain,
% 117.40/117.42     (P2(f6(a8,f3(a2,x18341)),a8)),
% 117.40/117.42     inference(scs_inference,[],[1806,1803,766,1747,1759,585,235,36,32,7,30,9,31,10,11,12,25,24,23,27])).
% 117.40/117.42  cnf(1836,plain,
% 117.40/117.42     (~E(f3(a8,f1(a2,x18361)),f3(a2,x18362))),
% 117.40/117.42     inference(scs_inference,[],[1806,1803,1756,766,1747,1759,585,235,36,32,7,30,9,31,10,11,12,25,24,23,27,2])).
% 117.40/117.42  cnf(1839,plain,
% 117.40/117.42     (~P2(f7(a2,f3(a4,a8)),f3(a8,x18391))),
% 117.40/117.42     inference(scs_inference,[],[1806,1803,1587,1694,1756,766,1747,1759,585,235,220,36,32,7,30,9,31,10,11,12,25,24,23,27,2,16,15])).
% 117.40/117.42  cnf(1844,plain,
% 117.40/117.42     (~E(f3(f1(a2,x18441),x18442),f1(a4,a4))),
% 117.40/117.42     inference(scs_inference,[],[1806,1803,1587,1694,1756,766,1747,1759,585,669,235,220,36,32,7,30,9,31,10,11,12,25,24,23,27,2,16,15,35,17])).
% 117.40/117.42  cnf(1845,plain,
% 117.40/117.42     (P1(f6(x18451,f1(x18452,a2)),f6(x18451,a2))),
% 117.40/117.42     inference(scs_inference,[],[18,1806,1803,1643,1587,1694,1756,766,1747,1759,585,669,235,220,36,32,7,30,9,31,10,11,12,25,24,23,27,2,16,15,35,17,14])).
% 117.40/117.42  cnf(1847,plain,
% 117.40/117.42     (~P1(f3(a8,f1(a2,x18471)),f3(a2,x18472))),
% 117.40/117.42     inference(scs_inference,[],[18,1806,1803,1643,1587,1694,1756,766,1747,1759,585,669,235,224,220,36,32,7,30,9,31,10,11,12,25,24,23,27,2,16,15,35,17,14,26])).
% 117.40/117.42  cnf(1863,plain,
% 117.40/117.42     (P2(f5(a4),a4)),
% 117.40/117.42     inference(scs_inference,[],[1828,1834,768,36,32,31,30,24])).
% 117.40/117.42  cnf(1867,plain,
% 117.40/117.42     (P2(f6(a8,f1(x18671,a2)),a8)),
% 117.40/117.42     inference(scs_inference,[],[1828,1769,1834,881,768,36,32,31,30,24,23,27])).
% 117.40/117.42  cnf(1869,plain,
% 117.40/117.42     (~E(f1(a4,a4),f3(f1(a2,x18691),x18692))),
% 117.40/117.42     inference(scs_inference,[],[1828,1844,1769,1834,881,768,36,32,31,30,24,23,27,2])).
% 117.40/117.42  cnf(1870,plain,
% 117.40/117.42     (~P2(f6(a4,a2),f3(x18701,a4))),
% 117.40/117.42     inference(scs_inference,[],[1828,1844,1769,1772,1594,1834,881,768,36,32,31,30,24,23,27,2,15])).
% 117.40/117.42  cnf(1879,plain,
% 117.40/117.42     (~P1(f3(a8,a2),f3(a2,x18791))),
% 117.40/117.42     inference(scs_inference,[],[1828,1844,1769,1772,1847,1594,1691,1834,881,768,1706,698,900,211,20,36,32,31,30,24,23,27,2,15,35,17,14,34,13])).
% 117.40/117.42  cnf(1882,plain,
% 117.40/117.42     (E(f3(a2,a2),f3(f3(a2,x18821),f1(x18822,a2)))),
% 117.40/117.42     inference(scs_inference,[],[1828,1844,1832,1769,1772,1847,1594,1691,1834,881,768,1706,698,900,211,224,20,36,32,31,30,24,23,27,2,15,35,17,14,34,13,26])).
% 117.40/117.42  cnf(1885,plain,
% 117.40/117.42     (E(f7(f1(a2,x18851),f1(a2,x18852)),f7(a2,a2))),
% 117.40/117.42     inference(scs_inference,[],[1828,1844,1832,1769,1779,1772,1847,1594,1691,1834,881,768,1706,698,900,211,224,20,36,32,31,30,24,23,27,2,15,35,17,14,34,13,26,3])).
% 117.40/117.42  cnf(1888,plain,
% 117.40/117.42     (~E(a2,f3(a8,a2))),
% 117.40/117.42     inference(scs_inference,[],[1828,1844,1832,1769,1779,1772,1847,1594,1691,1834,881,768,1706,698,900,211,224,20,36,32,31,30,24,23,27,2,15,35,17,14,34,13,26,3,48])).
% 117.40/117.42  cnf(1889,plain,
% 117.40/117.42     (~P2(f7(a2,f3(a4,a8)),a8)),
% 117.40/117.42     inference(scs_inference,[],[1828,1844,1832,1839,1769,1779,1772,1847,1594,1691,1834,881,768,1709,1706,698,900,211,224,20,36,32,31,30,24,23,27,2,15,35,17,14,34,13,26,3,48,29])).
% 117.40/117.42  cnf(1897,plain,
% 117.40/117.42     (~P2(f5(a4),f3(x18971,a4))),
% 117.40/117.42     inference(scs_inference,[],[1863,36])).
% 117.40/117.42  cnf(1905,plain,
% 117.40/117.42     (P1(f7(f1(a2,x19051),f1(a2,x19052)),f7(a2,a2))),
% 117.40/117.42     inference(scs_inference,[],[1870,1863,1885,36,31,32,30,23])).
% 117.40/117.42  cnf(1909,plain,
% 117.40/117.42     (~E(f3(a8,a2),a2)),
% 117.40/117.42     inference(scs_inference,[],[1870,1879,1888,1863,1885,36,31,32,30,23,27,2])).
% 117.40/117.42  cnf(1912,plain,
% 117.40/117.42     (P2(f5(a4),f1(a4,a4))),
% 117.40/117.42     inference(scs_inference,[],[1870,1879,1888,1863,1885,1781,36,31,32,30,23,27,2,15,35])).
% 117.40/117.42  cnf(1915,plain,
% 117.40/117.42     (P1(f6(f1(a2,x19151),x19152),f6(a2,x19152))),
% 117.40/117.42     inference(scs_inference,[],[18,1870,1879,1888,1863,1885,1780,1781,1783,237,36,31,32,30,23,27,2,15,35,17,14])).
% 117.40/117.42  cnf(1916,plain,
% 117.40/117.42     (P1(x19161,x19161)),
% 117.40/117.42     inference(rename_variables,[],[18])).
% 117.40/117.42  cnf(1920,plain,
% 117.40/117.42     (P1(f7(a2,a2),f7(f1(a2,x19201),f1(a2,x19202)))),
% 117.40/117.42     inference(scs_inference,[],[18,1916,1870,1879,1888,1863,1885,1780,1781,1783,237,20,36,31,32,30,23,27,2,15,35,17,14,34,13])).
% 117.40/117.42  cnf(1922,plain,
% 117.40/117.42     (~P1(f3(a8,a2),a2)),
% 117.40/117.42     inference(scs_inference,[],[18,1916,1870,1879,1888,1863,1885,1780,1781,1783,237,39,20,36,31,32,30,23,27,2,15,35,17,14,34,13,26])).
% 117.40/117.42  cnf(1925,plain,
% 117.40/117.42     (~E(f1(x19251,f1(x19252,a2)),f3(a8,a2))),
% 117.40/117.42     inference(scs_inference,[],[18,1916,1870,1879,1888,1863,1885,1780,1781,1783,213,237,39,20,36,31,32,30,23,27,2,15,35,17,14,34,13,26,3])).
% 117.40/117.42  cnf(1926,plain,
% 117.40/117.42     (~P3(f3(a8,a2))),
% 117.40/117.42     inference(scs_inference,[],[18,1916,1870,1879,1888,1863,1885,1780,1781,1783,213,237,39,20,36,31,32,30,23,27,2,15,35,17,14,34,13,26,3,25])).
% 117.40/117.42  cnf(1940,plain,
% 117.40/117.42     (P1(f3(x19401,f1(a2,x19402)),f3(x19401,a2))),
% 117.40/117.42     inference(scs_inference,[],[1912,1897,1778,32,36,31,30,23])).
% 117.40/117.42  cnf(1949,plain,
% 117.40/117.42     (~E(f1(a2,x19491),f3(a8,a2))),
% 117.40/117.42     inference(scs_inference,[],[1926,1912,1897,1922,1925,1778,256,32,36,31,30,23,27,2,29,35,17])).
% 117.40/117.42  cnf(1955,plain,
% 117.40/117.42     (E(f3(x19551,f1(a2,x19552)),f3(x19551,a2))),
% 117.40/117.42     inference(rename_variables,[],[1778])).
% 117.40/117.42  cnf(1959,plain,
% 117.40/117.42     (~E(f3(a8,a2),f3(a2,x19591))),
% 117.40/117.42     inference(scs_inference,[],[1926,1912,1897,1909,1922,1925,1905,1778,1955,1836,1920,256,219,20,32,36,31,30,23,27,2,29,35,17,14,34,13,26,3])).
% 117.40/117.42  cnf(1961,plain,
% 117.40/117.42     (~P3(f3(f1(a4,a4),f3(x19611,a4)))),
% 117.40/117.42     inference(scs_inference,[],[1926,1912,1897,1909,1922,1925,1905,1778,1955,1836,1920,256,219,20,32,36,31,30,23,27,2,29,35,17,14,34,13,26,3,25])).
% 117.40/117.42  cnf(1963,plain,
% 117.40/117.42     (~P3(f1(f1(a4,a4),f1(a4,a4)))),
% 117.40/117.42     inference(scs_inference,[],[1926,1912,1897,1909,1922,1925,1905,1778,1955,1836,1920,256,219,20,32,36,31,30,23,27,2,29,35,17,14,34,13,26,3,25,65])).
% 117.40/117.42  cnf(1970,plain,
% 117.40/117.42     (~P2(f7(f3(a2,x19701),a4),f3(x19702,a4))),
% 117.40/117.42     inference(scs_inference,[],[1759,220,32,36])).
% 117.40/117.42  cnf(1972,plain,
% 117.40/117.42     (~P2(f7(a2,f3(a4,a8)),f1(x19721,a8))),
% 117.40/117.42     inference(scs_inference,[],[1889,1759,220,32,36,30])).
% 117.40/117.42  cnf(1976,plain,
% 117.40/117.42     (P2(f6(a4,f1(a2,x19761)),a4)),
% 117.40/117.42     inference(scs_inference,[],[1822,1081,1889,1759,220,32,36,30,23,27])).
% 117.40/117.42  cnf(1978,plain,
% 117.40/117.42     (~E(f3(a2,x19781),f3(a8,a2))),
% 117.40/117.42     inference(scs_inference,[],[1959,1822,1081,1889,1759,220,32,36,30,23,27,2])).
% 117.40/117.42  cnf(1983,plain,
% 117.40/117.42     (~E(f1(f3(a2,x19831),x19832),f3(a8,a2))),
% 117.40/117.42     inference(scs_inference,[],[1959,1822,1867,1081,1839,1641,1889,1926,1759,550,220,32,36,30,23,27,2,15,35,17])).
% 117.40/117.42  cnf(1985,plain,
% 117.40/117.42     (P1(x19851,x19851)),
% 117.40/117.42     inference(rename_variables,[],[18])).
% 117.40/117.42  cnf(1991,plain,
% 117.40/117.42     (~P1(f3(a8,a2),f1(a2,f1(a2,x19911)))),
% 117.40/117.42     inference(scs_inference,[],[18,1985,1959,1949,1822,1825,1867,1081,1839,1641,1889,1926,1759,550,71,243,220,32,36,30,23,27,2,15,35,17,14,34,13,26])).
% 117.40/117.42  cnf(1995,plain,
% 117.40/117.42     (~E(f3(a8,f3(a2,x19951)),f3(a2,x19952))),
% 117.40/117.42     inference(scs_inference,[],[18,1985,1959,1949,1822,1825,1867,1592,1081,1839,1641,1889,1926,1759,550,71,243,220,32,36,30,23,27,2,15,35,17,14,34,13,26,3])).
% 117.40/117.42  cnf(1999,plain,
% 117.40/117.42     (~P2(f7(a8,a2),f3(x19991,a8))),
% 117.40/117.42     inference(scs_inference,[],[1608,36])).
% 117.40/117.42  cnf(2005,plain,
% 117.40/117.42     (P2(f6(a4,f1(x20051,a2)),a4)),
% 117.40/117.42     inference(scs_inference,[],[1103,1608,36,32,30,27])).
% 117.40/117.42  cnf(2007,plain,
% 117.40/117.42     (~E(f3(a8,a2),f1(f3(a2,x20071),x20072))),
% 117.40/117.42     inference(scs_inference,[],[1983,1103,1608,36,32,30,27,2])).
% 117.40/117.42  cnf(2018,plain,
% 117.40/117.42     (~E(f3(a2,x20181),f1(f1(a4,a4),f1(a4,a4)))),
% 117.40/117.42     inference(scs_inference,[],[1983,1972,1644,1963,1869,1103,1722,1608,221,701,36,32,30,27,2,23,29,15,26,17])).
% 117.40/117.42  cnf(2021,plain,
% 117.40/117.42     (~P1(a4,f1(x20211,f3(a2,x20212)))),
% 117.40/117.42     inference(scs_inference,[],[1983,1972,1644,1963,1869,1976,1103,1722,1608,1117,221,1023,701,36,32,30,27,2,23,29,15,26,17,35,14])).
% 117.40/117.42  cnf(2023,plain,
% 117.40/117.42     (~E(f3(a2,x20231),f3(a8,a2))),
% 117.40/117.42     inference(rename_variables,[],[1978])).
% 117.40/117.42  cnf(2026,plain,
% 117.40/117.42     (~E(f3(f3(a2,x20261),f1(x20262,a2)),f3(a8,a2))),
% 117.40/117.42     inference(scs_inference,[],[1978,2023,1983,1972,1644,1963,1869,1976,1882,1103,1722,1608,1117,221,1023,701,220,36,32,30,27,2,23,29,15,26,17,35,14,34,3])).
% 117.40/117.42  cnf(2028,plain,
% 117.40/117.42     (~P1(f3(a8,f3(a2,x20281)),f3(a2,x20282))),
% 117.40/117.42     inference(scs_inference,[],[1978,2023,1983,1972,1644,1963,1869,1976,1882,1103,1722,1822,1879,1608,1117,221,1023,701,220,36,32,30,27,2,23,29,15,26,17,35,14,34,3,13])).
% 117.40/117.42  cnf(2032,plain,
% 117.40/117.42     (~E(a2,f1(a4,a4))),
% 117.40/117.42     inference(scs_inference,[],[1978,2023,1983,1972,1644,1963,1869,1976,1882,1103,1722,1822,1879,1608,1117,221,1023,701,220,36,32,30,27,2,23,29,15,26,17,35,14,34,3,13,31,48])).
% 117.40/117.42  cnf(2044,plain,
% 117.40/117.42     (~E(f1(a4,a4),a2)),
% 117.40/117.42     inference(scs_inference,[],[2032,2028,2005,833,36,27,48,2])).
% 117.40/117.42  cnf(2047,plain,
% 117.40/117.42     (~P1(f1(a4,a4),a2)),
% 117.40/117.42     inference(scs_inference,[],[2032,2028,1782,2005,833,39,36,27,48,2,23,26])).
% 117.40/117.42  cnf(2052,plain,
% 117.40/117.42     (~E(f1(x20521,f1(a2,x20522)),f3(a4,a8))),
% 117.40/117.42     inference(scs_inference,[],[1999,2032,2028,1782,2005,1698,1819,833,74,39,36,27,48,2,23,26,15,17])).
% 117.40/117.42  cnf(2055,plain,
% 117.40/117.42     (~P1(f3(a8,a2),f1(f1(a2,x20551),a2))),
% 117.40/117.42     inference(scs_inference,[],[19,1999,2032,2028,1782,1991,2005,1698,1819,833,74,39,36,27,48,2,23,26,15,17,35,14])).
% 117.40/117.42  cnf(2060,plain,
% 117.40/117.42     (P1(f6(f3(a2,x20601),f1(x20602,a2)),f6(a2,a2))),
% 117.40/117.42     inference(scs_inference,[],[19,1999,2032,1845,2028,1782,1991,2005,1593,1698,1819,833,74,39,20,36,27,48,2,23,26,15,17,35,14,34,13])).
% 117.40/117.42  cnf(2063,plain,
% 117.40/117.42     (~E(f1(x20631,f3(a2,x20632)),f1(a4,a4))),
% 117.40/117.42     inference(scs_inference,[],[19,1999,2032,1845,2028,1782,1991,2005,1593,1698,1819,1028,833,74,39,20,36,27,48,2,23,26,15,17,35,14,34,13,3])).
% 117.40/117.42  cnf(2073,plain,
% 117.40/117.42     (~P1(a8,f3(f1(x20731,a2),x20732))),
% 117.40/117.42     inference(scs_inference,[],[2047,2063,1827,958,701,27,2,23,26])).
% 117.40/117.42  cnf(2079,plain,
% 117.40/117.42     (~P1(f1(a4,a4),f1(f3(a2,x20791),x20792))),
% 117.40/117.42     inference(scs_inference,[],[2047,2063,1827,1961,958,1759,42,1057,701,27,2,23,26,17,35,14])).
% 117.40/117.42  cnf(2085,plain,
% 117.40/117.42     (E(f7(a2,a2),f7(f1(a2,x20851),f1(x20852,a2)))),
% 117.40/117.42     inference(scs_inference,[],[2044,2047,2063,1827,1961,958,2021,1688,1739,1759,42,1057,672,701,20,27,2,23,26,17,35,14,34,13,3])).
% 117.40/117.42  cnf(2101,plain,
% 117.40/117.42     (~P1(f3(a4,a8),f1(x21011,f1(a2,x21012)))),
% 117.40/117.42     inference(scs_inference,[],[2052,2026,2085,484,71,27,2,23,26])).
% 117.40/117.42  cnf(2106,plain,
% 117.40/117.42     (P2(f7(a8,a2),f1(a8,a8))),
% 117.40/117.42     inference(scs_inference,[],[2052,2026,2085,1620,484,83,1608,71,27,2,23,26,17,35])).
% 117.40/117.42  cnf(2108,plain,
% 117.40/117.42     (~P1(f1(a4,a4),f1(x21081,f3(a2,x21082)))),
% 117.40/117.42     inference(scs_inference,[],[19,2052,2026,2079,2085,1620,484,83,1608,71,27,2,23,26,17,35,14])).
% 117.40/117.42  cnf(2110,plain,
% 117.40/117.42     (P1(f6(f1(x21101,a2),f1(x21102,a2)),f6(a2,a2))),
% 117.40/117.42     inference(scs_inference,[],[19,2052,2026,1757,2079,2085,1696,1620,484,83,1608,71,27,2,23,26,17,35,14,13])).
% 117.40/117.42  cnf(2128,plain,
% 117.40/117.42     (P1(f6(x21281,f3(a2,x21282)),f6(x21281,a2))),
% 117.40/117.42     inference(scs_inference,[],[1995,1826,573,27,2,23])).
% 117.40/117.42  cnf(2133,plain,
% 117.40/117.42     (~E(f1(x21331,a2),f1(f1(a4,a4),f1(a4,a4)))),
% 117.40/117.42     inference(scs_inference,[],[1995,1275,1826,1963,573,237,672,27,2,23,26,17])).
% 117.40/117.42  cnf(2136,plain,
% 117.40/117.42     (~P1(f3(a4,a8),f1(f1(a2,x21361),x21362))),
% 117.40/117.42     inference(scs_inference,[],[19,2106,1995,2101,1275,1826,1963,573,237,672,27,2,23,26,17,35,14])).
% 117.40/117.42  cnf(2137,plain,
% 117.40/117.42     (~P1(f3(a4,a8),f1(x21371,f1(a2,x21372)))),
% 117.40/117.42     inference(rename_variables,[],[2101])).
% 117.40/117.42  cnf(2142,plain,
% 117.40/117.42     (E(f6(a2,a2),f6(f1(x21421,a2),f1(a2,x21422)))),
% 117.40/117.42     inference(scs_inference,[],[19,2106,1995,2101,2137,1275,1826,1695,1741,1963,573,237,45,672,27,2,23,26,17,35,14,13,3])).
% 117.40/117.42  cnf(2147,plain,
% 117.40/117.42     (~E(f1(f1(a4,a4),f1(a4,a4)),f1(x21471,a2))),
% 117.40/117.42     inference(scs_inference,[],[2133,679,27,2])).
% 117.40/117.42  cnf(2148,plain,
% 117.40/117.42     (P1(f6(a2,a2),f6(f1(x21481,a2),f1(a2,x21482)))),
% 117.40/117.42     inference(scs_inference,[],[2142,2133,679,27,2,23])).
% 117.40/117.42  cnf(2150,plain,
% 117.40/117.42     (~P1(f3(a8,a2),f1(f3(a2,x21501),f1(a2,x21502)))),
% 117.40/117.42     inference(scs_inference,[],[2007,2142,2133,679,71,27,2,23,26])).
% 117.40/117.42  cnf(2154,plain,
% 117.40/117.42     (~E(f1(x21541,f1(x21542,a2)),f1(a8,a8))),
% 117.40/117.42     inference(scs_inference,[],[2007,2142,2133,1624,679,192,71,27,2,23,26,17])).
% 117.40/117.42  cnf(2157,plain,
% 117.40/117.42     (P1(f6(x21571,f3(a2,x21572)),f6(x21571,a2))),
% 117.40/117.42     inference(rename_variables,[],[2128])).
% 117.40/117.42  cnf(2161,plain,
% 117.40/117.42     (~E(f1(a2,x21611),f1(f1(a4,a4),f1(a4,a4)))),
% 117.40/117.42     inference(scs_inference,[],[19,2128,2157,2007,2142,2133,1740,1642,1624,679,192,71,27,2,23,26,17,14,13,3])).
% 117.40/117.42  cnf(2164,plain,
% 117.40/117.42     (P2(f6(a4,a2),a4)),
% 117.40/117.42     inference(scs_inference,[],[1117,27])).
% 117.40/117.42  cnf(2171,plain,
% 117.40/117.42     (~P2(f7(a2,a4),f3(x21711,a4))),
% 117.40/117.42     inference(scs_inference,[],[2154,1970,1733,1590,1117,1870,27,2,23,29,15])).
% 117.40/117.42  cnf(2178,plain,
% 117.40/117.42     (~E(f1(a2,x21781),f1(f1(a8,a8),f1(a8,a8)))),
% 117.40/117.42     inference(scs_inference,[],[2154,2110,2148,1970,1733,1677,1590,1117,256,1870,27,2,23,29,15,26,17])).
% 117.40/117.43  cnf(2179,plain,
% 117.40/117.43     (P2(f6(a4,a2),f1(a4,a4))),
% 117.40/117.43     inference(scs_inference,[],[2154,2110,2148,1970,1733,1677,1590,1117,256,1870,27,2,23,29,15,26,17,35])).
% 117.40/117.43  cnf(2183,plain,
% 117.40/117.43     (~E(f3(f1(x21831,a2),x21832),f3(a4,a8))),
% 117.40/117.43     inference(scs_inference,[],[19,2154,2110,2136,2150,2148,1970,1733,1677,1590,1117,256,1870,701,27,2,23,29,15,26,17,35,14,13])).
% 117.40/117.43  cnf(2185,plain,
% 117.40/117.43     (E(f6(f1(a2,x21851),f1(a2,x21852)),f6(a2,a2))),
% 117.40/117.43     inference(scs_inference,[],[19,2154,2110,2136,2150,2148,1970,1733,1780,1677,1781,1590,1117,256,1870,701,27,2,23,29,15,26,17,35,14,13,3])).
% 117.40/117.43  cnf(2196,plain,
% 117.40/117.43     (~P3(f3(a4,f3(x21961,a4)))),
% 117.40/117.43     inference(scs_inference,[],[19,2154,2110,2136,2150,2148,1970,1733,1780,1677,1781,1590,1117,256,1870,701,27,2,23,29,15,26,17,35,14,13,3,31,32,36,30,25])).
% 117.40/117.43  cnf(2213,plain,
% 117.40/117.43     (~E(f3(f1(a2,x22131),x22132),f3(a4,a8))),
% 117.40/117.43     inference(scs_inference,[],[2171,2183,2185,2161,1779,1698,669,672,2,23,15,26,17])).
% 117.40/117.43  cnf(2219,plain,
% 117.40/117.43     (~P1(f3(a8,a2),f1(a2,x22191))),
% 117.40/117.43     inference(scs_inference,[],[2179,2171,2183,2185,2161,2055,740,1779,285,1698,669,672,20,2,23,15,26,17,35,34,14])).
% 117.40/117.43  cnf(2224,plain,
% 117.40/117.43     (~E(f1(x22241,a2),f1(f1(a8,a8),f1(a8,a8)))),
% 117.40/117.43     inference(scs_inference,[],[19,2179,2171,2183,2185,1915,2161,2178,2055,740,1779,285,1698,669,672,20,2,23,15,26,17,35,34,14,13,3])).
% 117.40/117.43  cnf(2243,plain,
% 117.40/117.43     (~P2(f7(f1(x22431,a2),f3(a4,a8)),f1(x22432,a8))),
% 117.40/117.43     inference(scs_inference,[],[2164,2224,1279,1738,1972,1641,701,243,2,23,29,26,15])).
% 117.40/117.43  cnf(2245,plain,
% 117.40/117.43     (~E(f3(a2,x22451),f3(a4,f3(x22452,a4)))),
% 117.40/117.43     inference(scs_inference,[],[2164,2224,2196,1279,1738,1972,1641,221,701,243,2,23,29,26,15,17])).
% 117.40/117.43  cnf(2246,plain,
% 117.40/117.43     (~P1(f3(a8,a2),f1(x22461,a2))),
% 117.40/117.43     inference(scs_inference,[],[19,2164,2219,2224,2196,1279,1738,1972,1641,221,701,243,2,23,29,26,15,17,14])).
% 117.40/117.43  cnf(2247,plain,
% 117.40/117.43     (~P1(f3(a8,a2),f1(a2,x22471))),
% 117.40/117.43     inference(rename_variables,[],[2219])).
% 117.40/117.43  cnf(2249,plain,
% 117.40/117.43     (~P1(f3(a8,f1(x22491,a2)),f1(a2,x22492))),
% 117.40/117.43     inference(scs_inference,[],[19,2164,2219,2247,2224,2196,1279,1738,1972,1640,1641,221,701,243,2,23,29,26,15,17,14,13])).
% 117.40/117.43  cnf(2251,plain,
% 117.40/117.43     (E(f7(a2,a2),f7(f1(a2,x22511),f3(a2,x22512)))),
% 117.40/117.43     inference(scs_inference,[],[19,2164,2219,2247,2224,2196,1279,1738,1972,1739,1640,1641,1591,221,701,243,2,23,29,26,15,17,14,13,3])).
% 117.40/117.43  cnf(2257,plain,
% 117.40/117.43     (~P3(f3(a4,f1(a2,x22571)))),
% 117.40/117.43     inference(scs_inference,[],[19,2164,2219,2247,2224,2196,1279,1738,1972,1739,1640,1641,1591,221,701,243,2,23,29,26,15,17,14,13,3,27,48,25])).
% 117.40/117.43  cnf(2259,plain,
% 117.40/117.43     (~E(f1(f1(a4,a4),f1(a4,a4)),f3(a2,x22591))),
% 117.40/117.43     inference(scs_inference,[],[2018,2])).
% 117.40/117.43  cnf(2270,plain,
% 117.40/117.43     (~E(f3(f1(x22701,a2),x22702),f3(a8,a2))),
% 117.40/117.43     inference(scs_inference,[],[2213,2243,2251,2018,698,1926,45,672,2,23,28,26,17])).
% 117.40/117.43  cnf(2299,plain,
% 117.40/117.43     (E(f6(a2,a2),f6(f3(a2,x22991),f1(x22992,a2)))),
% 117.40/117.43     inference(scs_inference,[],[19,2246,2270,2147,2249,2257,1697,1696,1593,1676,1778,42,259,20,2,23,26,17,34,14,13,3])).
% 117.40/117.43  cnf(2302,plain,
% 117.40/117.43     (~E(a2,f1(f1(a4,a4),f1(a4,a4)))),
% 117.40/117.43     inference(scs_inference,[],[19,2246,2270,2147,2249,2257,1697,1696,1593,1676,1778,42,259,20,2,23,26,17,34,14,13,3,48])).
% 117.40/117.43  cnf(2317,plain,
% 117.40/117.43     (P1(f6(a2,a2),f6(f3(a2,x23171),f1(x23172,a2)))),
% 117.40/117.43     inference(scs_inference,[],[2299,23])).
% 117.40/117.43  cnf(2319,plain,
% 117.40/117.43     (~E(f3(a4,f3(x23191,a4)),f3(a2,x23192))),
% 117.40/117.43     inference(scs_inference,[],[2299,2245,23,2])).
% 117.40/117.43  cnf(2320,plain,
% 117.40/117.43     (~P1(f1(f1(a4,a4),f1(a4,a4)),f3(a2,x23201))),
% 117.40/117.43     inference(scs_inference,[],[2259,2299,2245,224,23,2,26])).
% 117.40/117.43  cnf(2340,plain,
% 117.40/117.43     (~E(f1(x23401,a2),f3(f1(a4,a4),f3(x23402,a4)))),
% 117.40/117.43     inference(scs_inference,[],[2060,2302,2317,1742,1961,237,23,2,26,17])).
% 117.40/117.43  cnf(2347,plain,
% 117.40/117.43     (E(f6(a2,a2),f6(f1(x23471,a2),f3(a2,x23472)))),
% 117.40/117.43     inference(scs_inference,[],[1785,2060,2302,2317,2108,2073,1742,1961,1594,1695,519,237,23,2,26,17,14,13,3])).
% 117.40/117.43  cnf(2350,plain,
% 117.40/117.43     (P2(f6(a4,a2),f3(a4,a2))),
% 117.40/117.43     inference(scs_inference,[],[20,1785,2060,2302,2317,2108,2073,1742,1961,2164,1594,1695,519,237,23,2,26,17,14,13,3,29])).
% 117.40/117.43  cnf(2357,plain,
% 117.40/117.43     (~P3(f3(a4,a2))),
% 117.40/117.43     inference(scs_inference,[],[20,1785,2060,2302,2317,2108,2073,1742,1961,2164,1594,1695,519,237,23,2,26,17,14,13,3,29,35,36,25])).
% 117.40/117.43  cnf(2372,plain,
% 117.40/117.43     (~E(f3(a4,f3(x23721,a4)),f3(a2,x23722))),
% 117.40/117.43     inference(rename_variables,[],[2319])).
% 117.40/117.43  cnf(2378,plain,
% 117.40/117.43     (P1(f3(f3(a2,x23781),f1(a2,x23782)),f3(a2,a2))),
% 117.40/117.43     inference(scs_inference,[],[20,2357,2350,2320,1940,2319,2347,2340,1595,558,74,224,23,2,29,26,17,14,13])).
% 117.40/117.43  cnf(2381,plain,
% 117.40/117.43     (~E(f3(a4,a2),f3(a2,x23811))),
% 117.40/117.43     inference(scs_inference,[],[20,2357,2350,2320,1940,2319,2372,2347,2340,1595,558,1822,74,224,23,2,29,26,17,14,13,3])).
% 117.40/117.43  cnf(2398,plain,
% 117.40/117.43     (E(f3(a2,a2),f3(f3(a2,x23981),f1(a2,x23982)))),
% 117.40/117.43     inference(scs_inference,[],[20,2381,2378,1651,2179,224,23,2,29,26])).
% 117.40/117.43  cnf(3703,plain,
% 117.40/117.43     (~P2(x37031,f1(f1(x37032,f3(a2,x37033)),x37034))),
% 117.40/117.43     inference(rename_variables,[],[579])).
% 117.40/117.43  cnf(3711,plain,
% 117.40/117.43     ($false),
% 117.40/117.43     inference(scs_inference,[],[2398,447,464,579,3703,518,24,65,2,27,36]),
% 117.40/117.43     ['proof']).
% 117.40/117.43  % SZS output end Proof
% 117.40/117.43  % Total time :116.770000s
%------------------------------------------------------------------------------