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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SEU186+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 15:01:37 EDT 2024

% Result   : Theorem 67.20s 67.26s
% Output   : CNFRefutation 67.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SEU186+1 : TPTP v8.2.0. Released v3.3.0.
% 0.10/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Fri Jun 21 14:15:09 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.19/0.58  start to proof:theBenchmark
% 67.20/67.24  %-------------------------------------------
% 67.20/67.24  % File        :CSE---1.7
% 67.20/67.24  % Problem     :theBenchmark
% 67.20/67.24  % Transform   :cnf
% 67.20/67.24  % Format      :tptp:raw
% 67.20/67.24  % Command     :java -jar mcs_scs.jar %d %s
% 67.20/67.24  
% 67.20/67.24  % Result      :Theorem 66.630000s
% 67.20/67.24  % Output      :CNFRefutation 66.630000s
% 67.20/67.24  %-------------------------------------------
% 67.20/67.25  %------------------------------------------------------------------------------
% 67.20/67.25  % File     : SEU186+1 : TPTP v8.2.0. Released v3.3.0.
% 67.20/67.25  % Domain   : Set theory
% 67.20/67.25  % Problem  : MPTP bushy problem t56_relat_1
% 67.20/67.25  % Version  : [Urb07] axioms : Especial.
% 67.20/67.25  % English  :
% 67.20/67.25  
% 67.20/67.25  % Refs     : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 67.20/67.25  %          : [Urb07] Urban (2006), Email to G. Sutcliffe
% 67.20/67.25  % Source   : [Urb07]
% 67.20/67.25  % Names    : bushy-t56_relat_1 [Urb07]
% 67.20/67.25  
% 67.20/67.25  % Status   : Theorem
% 67.20/67.25  % Rating   : 0.17 v8.1.0, 0.19 v7.5.0, 0.22 v7.4.0, 0.13 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.13 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.21 v6.2.0, 0.24 v6.1.0, 0.27 v6.0.0, 0.17 v5.5.0, 0.19 v5.4.0, 0.25 v5.3.0, 0.30 v5.2.0, 0.15 v5.1.0, 0.19 v5.0.0, 0.21 v4.1.0, 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
% 67.20/67.25  % Syntax   : Number of formulae    :   26 (  14 unt;   0 def)
% 67.20/67.25  %            Number of atoms       :   42 (   6 equ)
% 67.20/67.25  %            Maximal formula atoms :    3 (   1 avg)
% 67.20/67.25  %            Number of connectives :   28 (  12   ~;   1   |;   7   &)
% 67.20/67.25  %                                         (   1 <=>;   7  =>;   0  <=;   0 <~>)
% 67.20/67.25  %            Maximal formula depth :    9 (   3 avg)
% 67.20/67.25  %            Maximal term depth    :    3 (   1 avg)
% 67.20/67.25  %            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
% 67.20/67.25  %            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
% 67.20/67.25  %            Number of variables   :   34 (  29   !;   5   ?)
% 67.20/67.25  % SPC      : FOF_THM_RFO_SEQ
% 67.20/67.25  
% 67.20/67.25  % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 67.20/67.25  %            library, www.mizar.org
% 67.20/67.25  %------------------------------------------------------------------------------
% 67.20/67.25  fof(antisymmetry_r2_hidden,axiom,
% 67.20/67.25      ! [A,B] :
% 67.20/67.25        ( in(A,B)
% 67.20/67.25       => ~ in(B,A) ) ).
% 67.20/67.25  
% 67.20/67.25  fof(cc1_relat_1,axiom,
% 67.20/67.25      ! [A] :
% 67.20/67.25        ( empty(A)
% 67.20/67.25       => relation(A) ) ).
% 67.20/67.25  
% 67.20/67.25  fof(commutativity_k2_tarski,axiom,
% 67.20/67.25      ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ).
% 67.20/67.25  
% 67.20/67.25  fof(d1_relat_1,axiom,
% 67.20/67.25      ! [A] :
% 67.20/67.25        ( relation(A)
% 67.20/67.25      <=> ! [B] :
% 67.20/67.25            ~ ( in(B,A)
% 67.20/67.25              & ! [C,D] : B != ordered_pair(C,D) ) ) ).
% 67.20/67.25  
% 67.20/67.25  fof(d5_tarski,axiom,
% 67.20/67.25      ! [A,B] : ordered_pair(A,B) = unordered_pair(unordered_pair(A,B),singleton(A)) ).
% 67.20/67.25  
% 67.20/67.25  fof(dt_k1_tarski,axiom,
% 67.20/67.25      $true ).
% 67.20/67.25  
% 67.20/67.25  fof(dt_k1_xboole_0,axiom,
% 67.20/67.25      $true ).
% 67.20/67.25  
% 67.20/67.25  fof(dt_k2_tarski,axiom,
% 67.20/67.25      $true ).
% 67.20/67.25  
% 67.20/67.25  fof(dt_k4_tarski,axiom,
% 67.20/67.25      $true ).
% 67.20/67.26  
% 67.20/67.26  fof(dt_m1_subset_1,axiom,
% 67.20/67.26      $true ).
% 67.20/67.26  
% 67.20/67.26  fof(existence_m1_subset_1,axiom,
% 67.20/67.26      ! [A] :
% 67.20/67.26      ? [B] : element(B,A) ).
% 67.20/67.26  
% 67.20/67.26  fof(fc1_xboole_0,axiom,
% 67.20/67.26      empty(empty_set) ).
% 67.20/67.26  
% 67.20/67.26  fof(fc1_zfmisc_1,axiom,
% 67.20/67.26      ! [A,B] : ~ empty(ordered_pair(A,B)) ).
% 67.20/67.26  
% 67.20/67.26  fof(fc2_subset_1,axiom,
% 67.20/67.26      ! [A] : ~ empty(singleton(A)) ).
% 67.20/67.26  
% 67.20/67.26  fof(fc3_subset_1,axiom,
% 67.20/67.26      ! [A,B] : ~ empty(unordered_pair(A,B)) ).
% 67.20/67.26  
% 67.20/67.26  fof(fc4_relat_1,axiom,
% 67.20/67.26      ( empty(empty_set)
% 67.20/67.26      & relation(empty_set) ) ).
% 67.20/67.26  
% 67.20/67.26  fof(rc1_relat_1,axiom,
% 67.20/67.26      ? [A] :
% 67.20/67.26        ( empty(A)
% 67.20/67.26        & relation(A) ) ).
% 67.20/67.26  
% 67.20/67.26  fof(rc1_xboole_0,axiom,
% 67.20/67.26      ? [A] : empty(A) ).
% 67.20/67.26  
% 67.20/67.26  fof(rc2_relat_1,axiom,
% 67.20/67.26      ? [A] :
% 67.20/67.26        ( ~ empty(A)
% 67.20/67.26        & relation(A) ) ).
% 67.20/67.26  
% 67.20/67.26  fof(rc2_xboole_0,axiom,
% 67.20/67.26      ? [A] : ~ empty(A) ).
% 67.20/67.26  
% 67.20/67.26  fof(t1_subset,axiom,
% 67.20/67.26      ! [A,B] :
% 67.20/67.26        ( in(A,B)
% 67.20/67.26       => element(A,B) ) ).
% 67.20/67.26  
% 67.20/67.26  fof(t2_subset,axiom,
% 67.20/67.26      ! [A,B] :
% 67.20/67.26        ( element(A,B)
% 67.20/67.26       => ( empty(B)
% 67.20/67.26          | in(A,B) ) ) ).
% 67.20/67.26  
% 67.20/67.26  fof(t56_relat_1,conjecture,
% 67.20/67.26      ! [A] :
% 67.20/67.26        ( relation(A)
% 67.20/67.26       => ( ! [B,C] : ~ in(ordered_pair(B,C),A)
% 67.20/67.26         => A = empty_set ) ) ).
% 67.20/67.26  
% 67.20/67.26  fof(t6_boole,axiom,
% 67.20/67.26      ! [A] :
% 67.20/67.26        ( empty(A)
% 67.20/67.26       => A = empty_set ) ).
% 67.20/67.26  
% 67.20/67.26  fof(t7_boole,axiom,
% 67.20/67.26      ! [A,B] :
% 67.20/67.26        ~ ( in(A,B)
% 67.20/67.26          & empty(B) ) ).
% 67.20/67.26  
% 67.20/67.26  fof(t8_boole,axiom,
% 67.20/67.26      ! [A,B] :
% 67.20/67.26        ~ ( empty(A)
% 67.20/67.26          & A != B
% 67.20/67.26          & empty(B) ) ).
% 67.20/67.26  
% 67.20/67.26  %------------------------------------------------------------------------------
% 67.20/67.26  %-------------------------------------------
% 67.20/67.26  % Proof found
% 67.20/67.26  % SZS status Theorem for theBenchmark
% 67.20/67.26  % SZS output start Proof
% 67.20/67.26  %ClaNum:45(EqnAxiom:18)
% 67.20/67.26  %VarNum:54(SingletonVarNum:26)
% 67.20/67.26  %MaxLitNum:3
% 67.20/67.26  %MaxfuncDepth:3
% 67.20/67.26  %SharedTerms:16
% 67.20/67.26  %goalClause: 26 29 35
% 67.20/67.26  %singleGoalClaCount:3
% 67.20/67.26  [20]P1(a1)
% 67.20/67.26  [21]P1(a2)
% 67.20/67.26  [22]P1(a7)
% 67.20/67.26  [23]P3(a1)
% 67.20/67.26  [24]P3(a2)
% 67.20/67.26  [25]P3(a8)
% 67.20/67.26  [26]P3(a9)
% 67.20/67.26  [29]~E(a9,a1)
% 67.20/67.26  [30]~P1(a8)
% 67.20/67.26  [31]~P1(a10)
% 67.20/67.26  [27]P2(f3(x271),x271)
% 67.20/67.26  [32]~P1(f12(x321))
% 67.20/67.26  [28]E(f11(x281,x282),f11(x282,x281))
% 67.20/67.26  [33]~P1(f11(x331,x332))
% 67.20/67.26  [35]~P4(f11(f11(x351,x352),f12(x351)),a9)
% 67.20/67.26  [36]~P1(x361)+E(x361,a1)
% 67.20/67.26  [37]~P1(x371)+P3(x371)
% 67.20/67.26  [39]P3(x391)+P4(f4(x391),x391)
% 67.20/67.26  [40]~P1(x401)+~P4(x402,x401)
% 67.20/67.26  [41]~P4(x411,x412)+P2(x411,x412)
% 67.20/67.26  [43]~P4(x432,x431)+~P4(x431,x432)
% 67.20/67.26  [44]P3(x441)+~E(f4(x441),f11(f11(x442,x443),f12(x442)))
% 67.20/67.26  [38]~P1(x382)+~P1(x381)+E(x381,x382)
% 67.20/67.26  [42]~P2(x422,x421)+P1(x421)+P4(x422,x421)
% 67.20/67.26  [45]~P3(x451)+~P4(x452,x451)+E(f11(f11(f5(x451,x452),f6(x451,x452)),f12(f5(x451,x452))),x452)
% 67.20/67.26  %EqnAxiom
% 67.20/67.26  [1]E(x11,x11)
% 67.20/67.26  [2]E(x22,x21)+~E(x21,x22)
% 67.20/67.26  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 67.20/67.26  [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 67.20/67.26  [5]~E(x51,x52)+E(f11(x51,x53),f11(x52,x53))
% 67.20/67.26  [6]~E(x61,x62)+E(f11(x63,x61),f11(x63,x62))
% 67.20/67.26  [7]~E(x71,x72)+E(f12(x71),f12(x72))
% 67.20/67.26  [8]~E(x81,x82)+E(f4(x81),f4(x82))
% 67.20/67.26  [9]~E(x91,x92)+E(f5(x91,x93),f5(x92,x93))
% 67.20/67.26  [10]~E(x101,x102)+E(f5(x103,x101),f5(x103,x102))
% 67.20/67.26  [11]~E(x111,x112)+E(f6(x111,x113),f6(x112,x113))
% 67.20/67.26  [12]~E(x121,x122)+E(f6(x123,x121),f6(x123,x122))
% 67.20/67.26  [13]~P1(x131)+P1(x132)+~E(x131,x132)
% 67.20/67.26  [14]P4(x142,x143)+~E(x141,x142)+~P4(x141,x143)
% 67.20/67.26  [15]P4(x153,x152)+~E(x151,x152)+~P4(x153,x151)
% 67.20/67.26  [16]~P3(x161)+P3(x162)+~E(x161,x162)
% 67.20/67.26  [17]P2(x172,x173)+~E(x171,x172)+~P2(x171,x173)
% 67.20/67.26  [18]P2(x183,x182)+~E(x181,x182)+~P2(x183,x181)
% 67.20/67.26  
% 67.20/67.26  %-------------------------------------------
% 67.20/67.27  cnf(46,plain,
% 67.20/67.27     (~P1(a9)),
% 67.20/67.27     inference(scs_inference,[],[29,36])).
% 67.20/67.27  cnf(48,plain,
% 67.20/67.27     (~P4(x481,a1)),
% 67.20/67.27     inference(scs_inference,[],[29,20,36,40])).
% 67.20/67.27  cnf(50,plain,
% 67.20/67.27     (P4(f3(a8),a8)),
% 67.20/67.27     inference(scs_inference,[],[29,27,20,30,36,40,42])).
% 67.20/67.27  cnf(51,plain,
% 67.20/67.27     (P2(f3(x511),x511)),
% 67.20/67.27     inference(rename_variables,[],[27])).
% 67.20/67.27  cnf(54,plain,
% 67.20/67.27     (P2(f3(f11(x541,x542)),f11(x542,x541))),
% 67.20/67.27     inference(scs_inference,[],[29,27,51,28,20,30,36,40,42,15,18])).
% 67.20/67.27  cnf(55,plain,
% 67.20/67.27     (P2(f3(x551),x551)),
% 67.20/67.27     inference(rename_variables,[],[27])).
% 67.20/67.27  cnf(58,plain,
% 67.20/67.27     (P4(x581,a8)+~E(f3(a8),x581)),
% 67.20/67.27     inference(scs_inference,[],[29,27,51,28,20,30,36,40,42,15,18,43,14])).
% 67.20/67.27  cnf(60,plain,
% 67.20/67.27     (P2(x601,x602)+~E(f3(x602),x601)),
% 67.20/67.27     inference(scs_inference,[],[29,27,51,55,28,20,30,36,40,42,15,18,43,14,16,17])).
% 67.20/67.27  cnf(63,plain,
% 67.20/67.27     (~P4(x631,a2)),
% 67.20/67.27     inference(scs_inference,[],[21,40])).
% 67.20/67.27  cnf(65,plain,
% 67.20/67.27     (~P2(f11(f11(x651,x652),f12(x651)),a9)),
% 67.20/67.27     inference(scs_inference,[],[35,46,21,40,42])).
% 67.20/67.27  cnf(67,plain,
% 67.20/67.27     (~E(f3(a9),f11(f11(x671,x672),f12(x671)))),
% 67.20/67.27     inference(scs_inference,[],[35,46,21,27,40,42,17])).
% 67.20/67.27  cnf(71,plain,
% 67.20/67.27     (~P4(x711,a7)),
% 67.20/67.27     inference(scs_inference,[],[22,40])).
% 67.20/67.27  cnf(86,plain,
% 67.20/67.27     (P4(f3(f12(x861)),f12(x861))),
% 67.20/67.27     inference(scs_inference,[],[32,27,42])).
% 67.20/67.27  cnf(91,plain,
% 67.20/67.27     (~P4(f12(x911),f3(f12(x911)))),
% 67.20/67.27     inference(scs_inference,[],[50,63,32,27,42,15,43])).
% 67.20/67.27  cnf(93,plain,
% 67.20/67.27     (P4(x931,f12(x932))+~E(f3(f12(x932)),x931)),
% 67.20/67.27     inference(scs_inference,[],[50,63,32,27,42,15,43,14])).
% 67.20/67.27  cnf(95,plain,
% 67.20/67.27     (P4(f3(f11(x951,x952)),f11(x952,x951))),
% 67.20/67.27     inference(scs_inference,[],[54,33,42])).
% 67.20/67.27  cnf(102,plain,
% 67.20/67.27     (P4(x1021,f11(x1022,x1023))+~E(f3(f11(x1023,x1022)),x1021)),
% 67.20/67.27     inference(scs_inference,[],[50,54,71,33,42,15,43,14])).
% 67.20/67.27  cnf(108,plain,
% 67.20/67.27     (~P4(a1,a9)),
% 67.20/67.27     inference(scs_inference,[],[26,95,48,15,45])).
% 67.20/67.27  cnf(112,plain,
% 67.20/67.28     (E(f3(f11(x1121,x1122)),f3(f11(x1122,x1121)))),
% 67.20/67.28     inference(scs_inference,[],[28,2,4])).
% 67.20/67.28  cnf(113,plain,
% 67.20/67.28     (P4(f3(f11(x1131,x1132)),f11(x1131,x1132))),
% 67.20/67.28     inference(scs_inference,[],[112,102])).
% 67.20/67.28  cnf(126,plain,
% 67.20/67.28     (~P4(f11(f12(x1261),f11(x1261,x1262)),a9)),
% 67.20/67.28     inference(scs_inference,[],[65,28,41,14])).
% 67.20/67.28  cnf(184,plain,
% 67.20/67.28     (~E(f11(x1841,x1842),a2)),
% 67.20/67.28     inference(scs_inference,[],[63,95,15])).
% 67.20/67.28  cnf(186,plain,
% 67.20/67.28     (~P4(a2,a9)),
% 67.20/67.28     inference(scs_inference,[],[63,26,95,15,45])).
% 67.20/67.28  cnf(198,plain,
% 67.20/67.28     (~E(f11(x1981,x1982),a7)),
% 67.20/67.28     inference(scs_inference,[],[71,95,15])).
% 67.20/67.28  cnf(200,plain,
% 67.20/67.28     (~P4(a7,a9)),
% 67.20/67.28     inference(scs_inference,[],[71,26,95,15,45])).
% 67.20/67.28  cnf(216,plain,
% 67.20/67.28     (~P2(a1,a9)),
% 67.20/67.28     inference(scs_inference,[],[108,46,42])).
% 67.20/67.28  cnf(224,plain,
% 67.20/67.28     (~P2(f11(f12(x2241),f11(x2241,x2242)),a9)),
% 67.20/67.28     inference(scs_inference,[],[126,46,42])).
% 67.20/67.28  cnf(238,plain,
% 67.20/67.28     (~P2(a2,a9)),
% 67.20/67.28     inference(scs_inference,[],[186,46,42])).
% 67.20/67.28  cnf(245,plain,
% 67.20/67.28     (~P2(a7,a9)),
% 67.20/67.28     inference(scs_inference,[],[200,46,42])).
% 67.20/67.28  cnf(251,plain,
% 67.20/67.28     (~P1(f3(a9))),
% 67.20/67.28     inference(scs_inference,[],[216,27,17,36])).
% 67.20/67.28  cnf(268,plain,
% 67.20/67.28     (~E(f3(a9),a2)),
% 67.20/67.28     inference(scs_inference,[],[238,27,17])).
% 67.20/67.28  cnf(272,plain,
% 67.20/67.28     (~E(f3(a9),a7)),
% 67.20/67.28     inference(scs_inference,[],[245,27,17])).
% 67.20/67.28  cnf(290,plain,
% 67.20/67.28     (~E(f3(a8),a2)),
% 67.20/67.28     inference(scs_inference,[],[25,184,45,58])).
% 67.20/67.28  cnf(295,plain,
% 67.20/67.28     (~E(f3(a8),a7)),
% 67.20/67.28     inference(scs_inference,[],[25,198,45,58])).
% 67.20/67.28  cnf(330,plain,
% 67.20/67.28     (E(a1,a2)),
% 67.20/67.28     inference(scs_inference,[],[21,36,2])).
% 67.20/67.28  cnf(331,plain,
% 67.20/67.28     (E(a2,a1)),
% 67.20/67.28     inference(scs_inference,[],[330,2])).
% 67.20/67.28  cnf(332,plain,
% 67.20/67.28     (~E(a9,a2)),
% 67.20/67.28     inference(scs_inference,[],[29,330,2,3])).
% 67.20/67.28  cnf(526,plain,
% 67.20/67.28     (E(a1,a7)),
% 67.20/67.28     inference(scs_inference,[],[22,36,2])).
% 67.20/67.28  cnf(556,plain,
% 67.20/67.28     (E(f11(a2,x5561),f11(a1,x5561))),
% 67.20/67.28     inference(scs_inference,[],[21,36,5])).
% 67.20/67.28  cnf(557,plain,
% 67.20/67.28     (E(f11(a1,x5571),f11(a2,x5571))),
% 67.20/67.28     inference(scs_inference,[],[556,2])).
% 67.20/67.28  cnf(558,plain,
% 67.20/67.28     (E(f11(x5581,a2),f11(a1,x5581))),
% 67.20/67.28     inference(scs_inference,[],[28,556,2,3])).
% 67.20/67.28  cnf(568,plain,
% 67.20/67.28     (E(f11(a1,x5681),f11(x5681,a2))),
% 67.20/67.28     inference(scs_inference,[],[558,2])).
% 67.20/67.28  cnf(569,plain,
% 67.20/67.28     (P2(f3(f11(x5691,a1)),f11(a2,x5691))),
% 67.20/67.28     inference(scs_inference,[],[557,558,54,2,18])).
% 67.20/67.28  cnf(581,plain,
% 67.20/67.28     (E(f11(a1,a1),f11(a2,a2))),
% 67.20/67.28     inference(scs_inference,[],[568,557,3])).
% 67.20/67.28  cnf(583,plain,
% 67.20/67.28     (E(f11(a1,x5831),f11(x5831,a2))),
% 67.20/67.28     inference(rename_variables,[],[568])).
% 67.20/67.28  cnf(584,plain,
% 67.20/67.28     (P2(f3(f11(x5841,a1)),f11(x5841,a2))),
% 67.20/67.28     inference(scs_inference,[],[568,583,557,54,3,18])).
% 67.20/67.28  cnf(586,plain,
% 67.20/67.28     (P2(f3(f11(a1,x5861)),f11(x5861,a2))),
% 67.20/67.28     inference(scs_inference,[],[112,568,583,557,54,3,18,17])).
% 67.20/67.28  cnf(588,plain,
% 67.20/67.28     (E(f11(a2,a2),f11(a1,a1))),
% 67.20/67.28     inference(scs_inference,[],[112,568,583,557,54,3,18,17,2])).
% 67.20/67.28  cnf(603,plain,
% 67.20/67.28     (P2(f3(f11(a2,x6031)),f11(a1,x6031))),
% 67.20/67.28     inference(scs_inference,[],[558,54,18])).
% 67.20/67.28  cnf(605,plain,
% 67.20/67.28     (P2(f3(f11(x6051,a2)),f11(a1,x6051))),
% 67.20/67.28     inference(scs_inference,[],[112,558,54,18,17])).
% 67.20/67.28  cnf(675,plain,
% 67.20/67.28     (P4(f3(f11(x6751,a1)),f11(a2,x6751))),
% 67.20/67.28     inference(scs_inference,[],[569,33,42])).
% 67.20/67.28  cnf(678,plain,
% 67.20/67.28     (P4(f3(f11(a1,x6781)),f11(a2,x6781))),
% 67.20/67.28     inference(scs_inference,[],[569,112,33,42,14])).
% 67.20/67.28  cnf(680,plain,
% 67.20/67.28     (~P4(f11(a2,x6801),f3(f11(x6801,a1)))),
% 67.20/67.28     inference(scs_inference,[],[569,112,33,42,14,43])).
% 67.20/67.28  cnf(683,plain,
% 67.20/67.28     (~P4(f11(a2,x6831),f3(f11(a1,x6831)))),
% 67.20/67.28     inference(scs_inference,[],[678,43])).
% 67.20/67.28  cnf(689,plain,
% 67.20/67.28     (P4(f3(f11(x6891,a1)),f11(x6891,a2))),
% 67.20/67.28     inference(scs_inference,[],[584,33,42])).
% 67.20/67.28  cnf(692,plain,
% 67.20/67.28     (P4(f3(f11(a1,x6921)),f11(x6921,a2))),
% 67.20/67.28     inference(scs_inference,[],[584,112,33,42,14])).
% 67.20/67.28  cnf(694,plain,
% 67.20/67.28     (~P4(f11(x6941,a2),f3(f11(x6941,a1)))),
% 67.20/67.28     inference(scs_inference,[],[584,112,33,42,14,43])).
% 67.20/67.28  cnf(697,plain,
% 67.20/67.28     (~P4(f11(x6971,a2),f3(f11(a1,x6971)))),
% 67.20/67.28     inference(scs_inference,[],[692,43])).
% 67.20/67.28  cnf(713,plain,
% 67.20/67.28     (P4(f3(f11(x7131,a2)),f11(a1,x7131))),
% 67.20/67.28     inference(scs_inference,[],[603,112,33,42,14])).
% 67.20/67.28  cnf(715,plain,
% 67.20/67.28     (~P4(f11(a1,x7151),f3(f11(a2,x7151)))),
% 67.20/67.28     inference(scs_inference,[],[603,112,33,42,14,43])).
% 67.20/67.28  cnf(718,plain,
% 67.20/67.28     (~P4(f11(a1,x7181),f3(f11(x7181,a2)))),
% 67.20/67.28     inference(scs_inference,[],[713,43])).
% 67.20/67.28  cnf(768,plain,
% 67.20/67.28     (E(f11(x7681,a1),f11(a2,x7681))),
% 67.20/67.28     inference(scs_inference,[],[28,557,3])).
% 67.20/67.28  cnf(770,plain,
% 67.20/67.28     (E(f11(x7701,x7702),f11(x7702,x7701))),
% 67.20/67.28     inference(rename_variables,[],[28])).
% 67.20/67.28  cnf(771,plain,
% 67.20/67.28     (P2(f3(f11(x7711,a2)),f11(x7711,a1))),
% 67.20/67.28     inference(scs_inference,[],[28,770,557,605,3,18])).
% 67.20/67.28  cnf(774,plain,
% 67.20/67.28     (P2(f3(f11(a2,x7741)),f11(x7741,a1))),
% 67.20/67.28     inference(scs_inference,[],[28,770,112,557,605,3,18,17])).
% 67.20/67.28  cnf(776,plain,
% 67.20/67.28     (E(f11(a2,x7761),f11(x7761,a1))),
% 67.20/67.28     inference(scs_inference,[],[28,770,112,557,605,3,18,17,2])).
% 67.20/67.28  cnf(778,plain,
% 67.20/67.28     (E(f11(x7781,a1),f11(x7781,a2))),
% 67.20/67.28     inference(scs_inference,[],[28,568,3])).
% 67.20/67.28  cnf(988,plain,
% 67.20/67.28     (P4(f3(f11(x9881,a2)),f11(x9881,a1))),
% 67.20/67.28     inference(scs_inference,[],[771,33,42])).
% 67.20/67.28  cnf(993,plain,
% 67.20/67.28     (~P4(f11(x9931,a1),f3(f11(x9931,a2)))),
% 67.20/67.28     inference(scs_inference,[],[771,112,33,42,14,43])).
% 67.20/67.28  cnf(1552,plain,
% 67.20/67.28     (E(f11(a7,x15521),f11(a1,x15521))),
% 67.20/67.28     inference(scs_inference,[],[22,36,5])).
% 67.20/67.28  cnf(1553,plain,
% 67.20/67.28     (E(f11(a1,x15531),f11(a7,x15531))),
% 67.20/67.28     inference(scs_inference,[],[1552,2])).
% 67.20/67.28  cnf(1554,plain,
% 67.20/67.28     (E(f11(a1,a7),f11(a1,a2))),
% 67.20/67.28     inference(scs_inference,[],[568,1552,2,3])).
% 67.20/67.28  cnf(1566,plain,
% 67.20/67.28     (E(f11(a1,a2),f11(a1,a7))),
% 67.20/67.28     inference(scs_inference,[],[1554,2])).
% 67.20/67.28  cnf(1567,plain,
% 67.20/67.28     (E(f11(x15671,a2),f11(a7,x15671))),
% 67.20/67.28     inference(scs_inference,[],[558,1553,1554,2,3])).
% 67.20/67.28  cnf(1585,plain,
% 67.20/67.28     (E(f11(a7,x15851),f11(x15851,a2))),
% 67.20/67.28     inference(scs_inference,[],[1567,2])).
% 67.20/67.28  cnf(1586,plain,
% 67.20/67.28     (E(f11(a2,a2),f11(a1,a7))),
% 67.20/67.28     inference(scs_inference,[],[558,1566,1567,2,3])).
% 67.20/67.28  cnf(1596,plain,
% 67.20/67.28     (E(f11(a1,a7),f11(a2,a2))),
% 67.20/67.28     inference(scs_inference,[],[1586,2])).
% 67.20/67.28  cnf(1597,plain,
% 67.20/67.28     (E(f11(a1,a1),f11(a1,a7))),
% 67.20/67.28     inference(scs_inference,[],[581,1586,2,3])).
% 67.20/67.28  cnf(1617,plain,
% 67.20/67.28     (E(f11(a1,a7),f11(a1,a1))),
% 67.20/67.28     inference(scs_inference,[],[1597,2])).
% 67.20/67.28  cnf(1618,plain,
% 67.20/67.28     (E(f11(a2,a2),f11(a7,a1))),
% 67.20/67.28     inference(scs_inference,[],[558,1597,1567,2,3])).
% 67.20/67.28  cnf(1629,plain,
% 67.20/67.28     (E(f11(a7,a1),f11(a2,a2))),
% 67.20/67.28     inference(scs_inference,[],[1618,2])).
% 67.20/67.28  cnf(1630,plain,
% 67.20/67.28     (E(f11(a7,a2),f11(a1,a1))),
% 67.20/67.28     inference(scs_inference,[],[558,1618,1617,2,3])).
% 67.20/67.28  cnf(1640,plain,
% 67.20/67.28     (E(f11(a1,a1),f11(a7,a2))),
% 67.20/67.28     inference(scs_inference,[],[1630,2])).
% 67.20/67.28  cnf(1641,plain,
% 67.20/67.28     (E(f11(a2,a7),f11(a2,a2))),
% 67.20/67.28     inference(scs_inference,[],[776,1629,1630,2,3])).
% 67.20/67.28  cnf(1659,plain,
% 67.20/67.28     (E(f11(a1,a1),f11(a2,a7))),
% 67.20/67.28     inference(scs_inference,[],[581,1641,2,3])).
% 67.20/67.28  cnf(1673,plain,
% 67.20/67.28     (E(f11(a2,a7),f11(a1,a1))),
% 67.20/67.28     inference(scs_inference,[],[1659,2])).
% 67.20/67.28  cnf(1717,plain,
% 67.20/67.28     (E(f11(a1,a7),f11(a2,a1))),
% 67.20/67.28     inference(scs_inference,[],[768,1586,3,2])).
% 67.20/67.28  cnf(1736,plain,
% 67.20/67.28     (E(f11(x17361,a1),f11(a7,x17361))),
% 67.20/67.28     inference(scs_inference,[],[778,1567,3])).
% 67.20/67.28  cnf(1738,plain,
% 67.20/67.28     (E(f11(a7,x17381),f11(x17381,a1))),
% 67.20/67.28     inference(scs_inference,[],[778,1567,3,2])).
% 67.20/67.28  cnf(1779,plain,
% 67.20/67.28     (P2(f3(f11(x17791,a7)),f11(a1,x17791))),
% 67.20/67.28     inference(scs_inference,[],[1552,54,18])).
% 67.20/67.28  cnf(1781,plain,
% 67.20/67.28     (E(f11(a7,x17811),f11(a2,x17811))),
% 67.20/67.28     inference(scs_inference,[],[1552,557,54,18,3])).
% 67.20/67.28  cnf(1785,plain,
% 67.20/67.28     (E(f11(a2,x17851),f11(a7,x17851))),
% 67.20/67.28     inference(scs_inference,[],[1552,112,557,54,18,3,17,2])).
% 67.20/67.28  cnf(1805,plain,
% 67.20/67.28     (E(f11(a7,x18051),f11(a1,x18051))),
% 67.20/67.28     inference(rename_variables,[],[1552])).
% 67.20/67.28  cnf(1806,plain,
% 67.20/67.28     (E(f11(a7,a7),f11(a1,a2))),
% 67.20/67.28     inference(scs_inference,[],[1552,1805,1554,586,18,3])).
% 67.20/67.28  cnf(1810,plain,
% 67.20/67.28     (E(f11(a1,a2),f11(a7,a7))),
% 67.20/67.28     inference(scs_inference,[],[1552,1805,112,1554,586,18,3,17,2])).
% 67.20/67.28  cnf(1821,plain,
% 67.20/67.28     (E(f11(a7,x18211),f11(a1,x18211))),
% 67.20/67.28     inference(rename_variables,[],[1552])).
% 67.20/67.28  cnf(1822,plain,
% 67.20/67.28     (E(f11(a7,a7),f11(a2,a2))),
% 67.20/67.28     inference(scs_inference,[],[1552,1821,1596,774,18,3])).
% 67.20/67.28  cnf(1824,plain,
% 67.20/67.28     (P2(f3(f11(a7,a2)),f11(a1,a1))),
% 67.20/67.28     inference(scs_inference,[],[1552,1821,112,1596,774,18,3,17])).
% 67.20/67.28  cnf(1826,plain,
% 67.20/67.28     (E(f11(a2,a2),f11(a7,a7))),
% 67.20/67.28     inference(scs_inference,[],[1552,1821,112,1596,774,18,3,17,2])).
% 67.20/67.28  cnf(1828,plain,
% 67.20/67.28     (E(f11(a7,a7),f11(a1,a1))),
% 67.20/67.28     inference(scs_inference,[],[1552,581,1617,1824,18,3])).
% 67.20/67.28  cnf(1832,plain,
% 67.20/67.28     (E(f11(a1,a1),f11(a7,a7))),
% 67.20/67.28     inference(scs_inference,[],[1552,112,581,1617,1824,18,3,17,2])).
% 67.20/67.28  cnf(1834,plain,
% 67.20/67.28     (E(f11(a7,a7),f11(a2,a1))),
% 67.20/67.28     inference(scs_inference,[],[1552,1717,3])).
% 67.20/67.28  cnf(1836,plain,
% 67.20/67.28     (E(f11(a2,a1),f11(a7,a7))),
% 67.20/67.28     inference(scs_inference,[],[1552,1717,3,2])).
% 67.20/67.28  cnf(1838,plain,
% 67.20/67.28     (P2(f3(f11(x18381,a1)),f11(a7,x18381))),
% 67.20/67.28     inference(scs_inference,[],[1553,54,18])).
% 67.20/67.28  cnf(1840,plain,
% 67.20/67.28     (P2(f3(f11(a1,x18401)),f11(a7,x18401))),
% 67.20/67.28     inference(scs_inference,[],[1553,112,54,18,17])).
% 67.20/67.28  cnf(1847,plain,
% 67.20/67.28     (P2(f3(f11(a2,x18471)),f11(a7,x18471))),
% 67.20/67.28     inference(scs_inference,[],[1553,603,18])).
% 67.20/67.28  cnf(1849,plain,
% 67.20/67.28     (P2(f3(f11(x18491,a2)),f11(a7,x18491))),
% 67.20/67.28     inference(scs_inference,[],[1553,112,603,18,17])).
% 67.20/67.28  cnf(1911,plain,
% 67.20/67.28     (P2(f3(f11(x19111,a7)),f11(x19111,a2))),
% 67.20/67.28     inference(scs_inference,[],[1585,54,18])).
% 67.20/67.28  cnf(1959,plain,
% 67.20/67.28     (P2(f3(f11(x19591,a7)),f11(x19591,a1))),
% 67.20/67.28     inference(scs_inference,[],[1738,54,18])).
% 67.20/67.28  cnf(1966,plain,
% 67.20/67.28     (P4(f3(f11(x19661,a7)),f11(a1,x19661))),
% 67.20/67.28     inference(scs_inference,[],[1779,33,42])).
% 67.20/67.28  cnf(1969,plain,
% 67.20/67.28     (P4(f3(f11(a7,x19691)),f11(a1,x19691))),
% 67.20/67.28     inference(scs_inference,[],[1779,112,33,42,14])).
% 67.20/67.28  cnf(1971,plain,
% 67.20/67.28     (~P4(f11(a1,x19711),f3(f11(x19711,a7)))),
% 67.20/67.28     inference(scs_inference,[],[1779,112,33,42,14,43])).
% 67.20/67.28  cnf(1974,plain,
% 67.20/67.28     (~P4(f11(a1,x19741),f3(f11(a7,x19741)))),
% 67.20/67.28     inference(scs_inference,[],[1969,43])).
% 67.20/67.28  cnf(1979,plain,
% 67.20/67.28     (P2(f3(f11(x19791,a7)),f11(a2,x19791))),
% 67.20/67.28     inference(scs_inference,[],[1781,54,18])).
% 67.20/67.28  cnf(1981,plain,
% 67.20/67.28     (P2(f3(f11(a7,x19811)),f11(a2,x19811))),
% 67.20/67.28     inference(scs_inference,[],[1781,112,54,18,17])).
% 67.20/67.28  cnf(2011,plain,
% 67.20/67.28     (P4(f3(f11(x20111,a1)),f11(a7,x20111))),
% 67.20/67.28     inference(scs_inference,[],[1838,33,42])).
% 67.20/67.28  cnf(2014,plain,
% 67.20/67.28     (P4(f3(f11(a1,x20141)),f11(a7,x20141))),
% 67.20/67.28     inference(scs_inference,[],[1838,112,33,42,14])).
% 67.20/67.28  cnf(2016,plain,
% 67.20/67.28     (~P4(f11(a7,x20161),f3(f11(x20161,a1)))),
% 67.20/67.28     inference(scs_inference,[],[1838,112,33,42,14,43])).
% 67.20/67.28  cnf(2019,plain,
% 67.20/67.28     (~P4(f11(a7,x20191),f3(f11(a1,x20191)))),
% 67.20/67.28     inference(scs_inference,[],[2014,43])).
% 67.20/67.28  cnf(2032,plain,
% 67.20/67.28     (P4(f3(f11(a2,x20321)),f11(a7,x20321))),
% 67.20/67.28     inference(scs_inference,[],[1847,33,42])).
% 67.20/67.28  cnf(2116,plain,
% 67.20/67.28     (P4(f3(a9),a9)),
% 67.20/67.28     inference(scs_inference,[],[46,27,42])).
% 67.20/67.28  cnf(2119,plain,
% 67.20/67.28     (~P4(a9,f3(a9))),
% 67.20/67.28     inference(scs_inference,[],[46,27,42,43])).
% 67.20/67.28  cnf(2188,plain,
% 67.20/67.28     (P4(f3(f11(x21881,a7)),f11(x21881,a2))),
% 67.20/67.28     inference(scs_inference,[],[1911,33,42])).
% 67.20/67.28  cnf(2193,plain,
% 67.20/67.28     (~P4(f11(x21931,a2),f3(f11(x21931,a7)))),
% 67.20/67.28     inference(scs_inference,[],[1911,112,33,42,14,43])).
% 67.20/67.28  cnf(2217,plain,
% 67.20/67.28     (P4(f3(f11(x22171,a7)),f11(x22171,a1))),
% 67.20/67.28     inference(scs_inference,[],[1959,33,42])).
% 67.20/67.28  cnf(2220,plain,
% 67.20/67.28     (P4(f3(f11(a7,x22201)),f11(x22201,a1))),
% 67.20/67.28     inference(scs_inference,[],[1959,112,33,42,14])).
% 67.20/67.28  cnf(2225,plain,
% 67.20/67.28     (~P4(f11(x22251,a1),f3(f11(a7,x22251)))),
% 67.20/67.28     inference(scs_inference,[],[2220,43])).
% 67.20/67.28  cnf(2234,plain,
% 67.20/67.28     (P4(f3(f11(x22341,a7)),f11(a2,x22341))),
% 67.20/67.28     inference(scs_inference,[],[1979,33,42])).
% 67.20/67.28  cnf(2331,plain,
% 67.20/67.28     (E(f11(x23311,a7),f11(x23311,a2))),
% 67.20/67.28     inference(scs_inference,[],[28,1585,3])).
% 67.20/67.28  cnf(2333,plain,
% 67.20/67.28     (E(f11(x23331,x23332),f11(x23332,x23331))),
% 67.20/67.28     inference(rename_variables,[],[28])).
% 67.20/67.28  cnf(2334,plain,
% 67.20/67.28     (P2(f3(f11(a1,x23341)),f11(x23341,a7))),
% 67.20/67.28     inference(scs_inference,[],[28,2333,1585,1840,3,18])).
% 67.20/67.28  cnf(2339,plain,
% 67.20/67.28     (E(f11(x23391,a2),f11(x23391,a7))),
% 67.20/67.28     inference(scs_inference,[],[28,2333,112,1585,1840,3,18,17,2])).
% 67.20/67.28  cnf(2376,plain,
% 67.20/67.28     (E(f11(x23761,a7),f11(x23761,a1))),
% 67.20/67.28     inference(scs_inference,[],[28,1738,3])).
% 67.20/67.28  cnf(2378,plain,
% 67.20/67.28     (E(f11(x23781,x23782),f11(x23782,x23781))),
% 67.20/67.28     inference(rename_variables,[],[28])).
% 67.20/67.28  cnf(2384,plain,
% 67.20/67.28     (E(f11(x23841,a1),f11(x23841,a7))),
% 67.20/67.28     inference(scs_inference,[],[28,2378,112,1738,1849,3,18,17,2])).
% 67.20/67.28  cnf(2403,plain,
% 67.20/67.28     (E(f11(x24031,a7),f11(a2,x24031))),
% 67.20/67.28     inference(scs_inference,[],[28,1781,3])).
% 67.20/67.28  cnf(2406,plain,
% 67.20/67.28     (E(f11(a2,x24061),f11(x24061,a7))),
% 67.20/67.28     inference(scs_inference,[],[28,1781,3,2])).
% 67.20/67.28  cnf(2429,plain,
% 67.20/67.28     (E(f11(a1,x24291),f11(x24291,a7))),
% 67.20/67.28     inference(scs_inference,[],[28,2384,3])).
% 67.20/67.29  cnf(2432,plain,
% 67.20/67.29     (E(f11(x24321,a7),f11(a1,x24321))),
% 67.20/67.29     inference(scs_inference,[],[28,2384,3,2])).
% 67.20/67.29  cnf(2819,plain,
% 67.20/67.29     (P4(f3(f11(a1,x28191)),f11(x28191,a7))),
% 67.20/67.29     inference(scs_inference,[],[2334,33,42])).
% 67.20/67.29  cnf(2822,plain,
% 67.20/67.29     (P4(f3(f11(x28221,a1)),f11(x28221,a7))),
% 67.20/67.29     inference(scs_inference,[],[2334,112,33,42,14])).
% 67.20/67.29  cnf(2824,plain,
% 67.20/67.29     (~P4(f11(x28241,a7),f3(f11(a1,x28241)))),
% 67.20/67.29     inference(scs_inference,[],[2334,112,33,42,14,43])).
% 67.20/67.29  cnf(2827,plain,
% 67.20/67.29     (~P4(f11(x28271,a7),f3(f11(x28271,a1)))),
% 67.20/67.29     inference(scs_inference,[],[2822,43])).
% 67.20/67.29  cnf(2842,plain,
% 67.20/67.29     (E(f3(f11(x28421,a7)),f3(f11(a2,x28421)))),
% 67.20/67.29     inference(scs_inference,[],[2403,4])).
% 67.20/67.29  cnf(2845,plain,
% 67.20/67.29     (E(f11(f11(x28451,a7),x28452),f11(f11(a2,x28451),x28452))),
% 67.20/67.29     inference(scs_inference,[],[2403,4,7,8,5])).
% 67.20/67.29  cnf(2846,plain,
% 67.20/67.29     (E(f11(x28461,f11(x28462,a7)),f11(x28461,f11(a2,x28462)))),
% 67.20/67.29     inference(scs_inference,[],[2403,4,7,8,5,6])).
% 67.20/67.29  cnf(2847,plain,
% 67.20/67.29     (E(f5(f11(x28471,a7),x28472),f5(f11(a2,x28471),x28472))),
% 67.20/67.29     inference(scs_inference,[],[2403,4,7,8,5,6,9])).
% 67.20/67.29  cnf(2848,plain,
% 67.20/67.29     (E(f5(x28481,f11(x28482,a7)),f5(x28481,f11(a2,x28482)))),
% 67.20/67.29     inference(scs_inference,[],[2403,4,7,8,5,6,9,10])).
% 67.20/67.29  cnf(2849,plain,
% 67.20/67.29     (E(f6(f11(x28491,a7),x28492),f6(f11(a2,x28491),x28492))),
% 67.20/67.29     inference(scs_inference,[],[2403,4,7,8,5,6,9,10,11])).
% 67.20/67.29  cnf(2850,plain,
% 67.20/67.29     (E(f6(x28501,f11(x28502,a7)),f6(x28501,f11(a2,x28502)))),
% 67.20/67.29     inference(scs_inference,[],[2403,4,7,8,5,6,9,10,11,12])).
% 67.20/67.29  cnf(2853,plain,
% 67.20/67.29     (E(f3(f11(x28531,a7)),f3(f11(x28531,a2)))),
% 67.20/67.29     inference(scs_inference,[],[332,2403,31,21,112,4,7,8,5,6,9,10,11,12,2,13,3])).
% 67.20/67.29  cnf(2857,plain,
% 67.20/67.29     (P4(f3(f12(f11(x28571,a7))),f12(f11(a2,x28571)))),
% 67.20/67.29     inference(scs_inference,[],[2119,332,2403,31,86,251,21,112,4,7,8,5,6,9,10,11,12,2,13,3,42,15])).
% 67.20/67.29  cnf(2859,plain,
% 67.20/67.29     (~P4(f12(f11(x28591,a7)),f3(f12(f11(a2,x28591))))),
% 67.20/67.29     inference(scs_inference,[],[2119,332,2403,91,31,86,251,21,112,4,7,8,5,6,9,10,11,12,2,13,3,42,15,14])).
% 67.20/67.29  cnf(2861,plain,
% 67.20/67.29     (~P2(f11(f11(x28611,a7),f12(a2)),a9)),
% 67.20/67.29     inference(scs_inference,[],[2119,332,2403,91,31,65,86,251,21,112,4,7,8,5,6,9,10,11,12,2,13,3,42,15,14,17])).
% 67.20/67.29  cnf(2865,plain,
% 67.20/67.29     (~E(f3(a9),f11(f11(x28651,a7),f12(a2)))),
% 67.20/67.29     inference(scs_inference,[],[2119,332,2403,91,31,65,86,251,21,112,4,7,8,5,6,9,10,11,12,2,13,3,42,15,14,17,41,60])).
% 67.20/67.29  cnf(2866,plain,
% 67.20/67.29     (~P4(f12(f11(a2,x28661)),f3(f12(f11(x28661,a7))))),
% 67.20/67.29     inference(scs_inference,[],[2119,332,2403,91,31,65,86,251,21,112,4,7,8,5,6,9,10,11,12,2,13,3,42,15,14,17,41,60,43])).
% 67.20/67.29  cnf(2877,plain,
% 67.20/67.29     (E(f5(f11(x28771,a7),x28772),f5(f11(x28771,a1),x28772))),
% 67.20/67.29     inference(scs_inference,[],[2376,7,8,9])).
% 67.20/67.29  cnf(2878,plain,
% 67.20/67.29     (E(f5(x28781,f11(x28782,a7)),f5(x28781,f11(x28782,a1)))),
% 67.20/67.29     inference(scs_inference,[],[2376,7,8,9,10])).
% 67.20/67.29  cnf(2879,plain,
% 67.20/67.29     (E(f11(f11(x28791,a7),x28792),f11(f11(x28791,a1),x28792))),
% 67.20/67.29     inference(scs_inference,[],[2376,7,8,9,10,5])).
% 67.20/67.29  cnf(2882,plain,
% 67.20/67.29     (E(f3(f11(x28821,a7)),f3(f11(x28821,a1)))),
% 67.20/67.29     inference(scs_inference,[],[2376,7,8,9,10,5,12,11,4])).
% 67.20/67.29  cnf(2883,plain,
% 67.20/67.29     (E(f11(x28831,f11(x28832,a7)),f11(x28831,f11(x28832,a1)))),
% 67.20/67.29     inference(scs_inference,[],[2376,7,8,9,10,5,12,11,4,6])).
% 67.20/67.29  cnf(2889,plain,
% 67.20/67.29     (P4(f3(f11(a1,f11(x28891,a7))),f11(f11(a2,x28891),a7))),
% 67.20/67.29     inference(scs_inference,[],[2865,2845,2847,2848,2819,2376,32,22,7,8,9,10,5,12,11,4,6,2,13,3,15])).
% 67.20/67.29  cnf(2890,plain,
% 67.20/67.29     (E(f11(f11(x28901,a7),x28902),f11(f11(a2,x28901),x28902))),
% 67.20/67.29     inference(rename_variables,[],[2845])).
% 67.20/67.29  cnf(2895,plain,
% 67.20/67.29     (~P2(f11(f12(a2),f11(x28951,a7)),a9)),
% 67.20/67.29     inference(scs_inference,[],[694,2865,2845,2890,2846,2847,2848,2819,224,2376,32,22,7,8,9,10,5,12,11,4,6,2,13,3,15,14,17])).
% 67.20/67.29  cnf(2898,plain,
% 67.20/67.29     (P2(f3(f11(a1,f11(x28981,a7))),f11(f11(a2,x28981),a7))),
% 67.20/67.29     inference(scs_inference,[],[694,2865,2845,2890,2846,2847,2848,2819,224,2376,32,22,7,8,9,10,5,12,11,4,6,2,13,3,15,14,17,41])).
% 67.20/67.29  cnf(2900,plain,
% 67.20/67.29     (~E(f3(a9),f11(f12(a2),f11(x29001,a7)))),
% 67.20/67.29     inference(scs_inference,[],[694,2865,2845,2890,2846,2847,2848,2819,224,2376,32,22,7,8,9,10,5,12,11,4,6,2,13,3,15,14,17,41,60])).
% 67.20/67.29  cnf(2916,plain,
% 67.20/67.29     (E(f11(f11(x29161,a7),x29162),f11(f11(x29161,a2),x29162))),
% 67.20/67.29     inference(scs_inference,[],[2331,8,9,12,7,10,11,5])).
% 67.20/67.29  cnf(2917,plain,
% 67.20/67.29     (E(f11(x29171,f11(x29172,a7)),f11(x29171,f11(x29172,a2)))),
% 67.20/67.29     inference(scs_inference,[],[2331,8,9,12,7,10,11,5,6])).
% 67.20/67.29  cnf(2918,plain,
% 67.20/67.29     (E(f3(f11(x29181,a2)),f3(f11(x29181,a7)))),
% 67.20/67.29     inference(scs_inference,[],[2331,2339,8,9,12,7,10,11,5,6,4])).
% 67.20/67.29  cnf(2919,plain,
% 67.20/67.29     (~E(f11(f12(a2),f11(x29191,a7)),f3(a9))),
% 67.20/67.29     inference(scs_inference,[],[2900,2331,2339,8,9,12,7,10,11,5,6,4,2])).
% 67.20/67.29  cnf(2925,plain,
% 67.20/67.29     (E(f11(f11(x29251,a7),x29252),f11(f11(x29251,a1),x29252))),
% 67.20/67.29     inference(rename_variables,[],[2879])).
% 67.20/67.29  cnf(2930,plain,
% 67.20/67.29     (P2(f3(f11(f11(x29301,a7),a1)),f11(f11(a2,x29301),a7))),
% 67.20/67.29     inference(scs_inference,[],[697,2900,2849,2850,2879,2925,2889,2898,2331,2339,31,22,112,8,9,12,7,10,11,5,6,4,2,13,3,15,14,17])).
% 67.20/67.29  cnf(2934,plain,
% 67.20/67.29     (~P4(f11(f11(a2,a1),a7),f3(f11(a1,f11(a7,a7))))),
% 67.20/67.29     inference(scs_inference,[],[697,2900,2849,2850,2879,2925,2889,2898,2331,2339,31,22,112,8,9,12,7,10,11,5,6,4,2,13,3,15,14,17,41,43])).
% 67.20/67.29  cnf(2943,plain,
% 67.20/67.29     (E(f5(f11(a7,a7),x29431),f5(f11(a2,a1),x29431))),
% 67.20/67.29     inference(scs_inference,[],[1834,9])).
% 67.20/67.29  cnf(2944,plain,
% 67.20/67.29     (E(f6(x29441,f11(a7,a7)),f6(x29441,f11(a2,a1)))),
% 67.20/67.29     inference(scs_inference,[],[1834,9,12])).
% 67.20/67.29  cnf(2946,plain,
% 67.20/67.29     (E(f6(f11(a7,a7),x29461),f6(f11(a2,a1),x29461))),
% 67.20/67.29     inference(scs_inference,[],[1834,9,12,8,11])).
% 67.20/67.29  cnf(2947,plain,
% 67.20/67.29     (E(f12(f11(a7,a7)),f12(f11(a2,a1)))),
% 67.20/67.29     inference(scs_inference,[],[1834,9,12,8,11,7])).
% 67.20/67.29  cnf(2948,plain,
% 67.20/67.29     (E(f11(f11(a7,a7),x29481),f11(f11(a2,a1),x29481))),
% 67.20/67.29     inference(scs_inference,[],[1834,9,12,8,11,7,5])).
% 67.20/67.29  cnf(2949,plain,
% 67.20/67.29     (E(f5(x29491,f11(a7,a7)),f5(x29491,f11(a2,a1)))),
% 67.20/67.29     inference(scs_inference,[],[1834,9,12,8,11,7,5,10])).
% 67.20/67.29  cnf(2950,plain,
% 67.20/67.29     (E(f11(x29501,f11(a7,a7)),f11(x29501,f11(a2,a1)))),
% 67.20/67.29     inference(scs_inference,[],[1834,9,12,8,11,7,5,10,6])).
% 67.20/67.29  cnf(2958,plain,
% 67.20/67.29     (E(f11(x29581,f11(x29582,a7)),f11(x29581,f11(x29582,a1)))),
% 67.20/67.29     inference(rename_variables,[],[2883])).
% 67.20/67.29  cnf(2963,plain,
% 67.20/67.29     (P2(f3(f11(f11(x29631,a7),a7)),f11(a1,f11(x29631,a1)))),
% 67.20/67.29     inference(scs_inference,[],[680,2877,2878,2883,2958,290,1966,1834,32,21,9,12,8,11,7,5,10,6,4,2,13,3,15,14,41])).
% 67.20/67.29  cnf(2974,plain,
% 67.20/67.29     (E(f6(x29741,f11(a2,a1)),f6(x29741,f11(a7,a7)))),
% 67.20/67.29     inference(scs_inference,[],[1836,12])).
% 67.20/67.29  cnf(2976,plain,
% 67.20/67.29     (E(f5(f11(a2,a1),x29761),f5(f11(a7,a7),x29761))),
% 67.20/67.29     inference(scs_inference,[],[1836,12,8,9])).
% 67.20/67.29  cnf(2977,plain,
% 67.20/67.29     (E(f6(f11(a2,a1),x29771),f6(f11(a7,a7),x29771))),
% 67.20/67.29     inference(scs_inference,[],[1836,12,8,9,11])).
% 67.20/67.29  cnf(2978,plain,
% 67.20/67.29     (E(f11(f11(a2,a1),x29781),f11(f11(a7,a7),x29781))),
% 67.20/67.29     inference(scs_inference,[],[1836,12,8,9,11,5])).
% 67.20/67.29  cnf(2979,plain,
% 67.20/67.29     (E(f12(f11(a2,a1)),f12(f11(a7,a7)))),
% 67.20/67.29     inference(scs_inference,[],[1836,12,8,9,11,5,7])).
% 67.20/67.29  cnf(2980,plain,
% 67.20/67.29     (E(f5(x29801,f11(a2,a1)),f5(x29801,f11(a7,a7)))),
% 67.20/67.29     inference(scs_inference,[],[1836,12,8,9,11,5,7,10])).
% 67.20/67.29  cnf(2982,plain,
% 67.20/67.29     (E(f11(x29821,f11(a2,a1)),f11(x29821,f11(a7,a7)))),
% 67.20/67.29     inference(scs_inference,[],[1836,12,8,9,11,5,7,10,4,6])).
% 67.20/67.29  cnf(2984,plain,
% 67.20/67.29     (E(f5(f11(a7,a7),f11(a7,a7)),f5(f11(a2,a1),f11(a2,a1)))),
% 67.20/67.29     inference(scs_inference,[],[2943,2949,295,1836,12,8,9,11,5,7,10,4,6,2,3])).
% 67.20/67.29  cnf(2989,plain,
% 67.20/67.29     (~P4(f12(f11(a7,a7)),f3(f12(f11(a1,a7))))),
% 67.20/67.29     inference(scs_inference,[],[2943,2947,2949,2866,295,1836,86,12,8,9,11,5,7,10,4,6,2,3,15,14])).
% 67.20/67.29  cnf(3003,plain,
% 67.20/67.29     (E(f5(f11(a7,a7),x30031),f5(f11(a1,a1),x30031))),
% 67.20/67.29     inference(scs_inference,[],[1828,8,9])).
% 67.20/67.29  cnf(3004,plain,
% 67.20/67.29     (E(f6(x30041,f11(a7,a7)),f6(x30041,f11(a1,a1)))),
% 67.20/67.29     inference(scs_inference,[],[1828,8,9,12])).
% 67.20/67.29  cnf(3005,plain,
% 67.20/67.29     (E(f6(f11(a7,a7),x30051),f6(f11(a1,a1),x30051))),
% 67.20/67.29     inference(scs_inference,[],[1828,8,9,12,11])).
% 67.20/67.29  cnf(3006,plain,
% 67.20/67.29     (E(f12(f11(a7,a7)),f12(f11(a1,a1)))),
% 67.20/67.29     inference(scs_inference,[],[1828,8,9,12,11,7])).
% 67.20/67.29  cnf(3007,plain,
% 67.20/67.29     (E(f5(x30071,f11(a7,a7)),f5(x30071,f11(a1,a1)))),
% 67.20/67.29     inference(scs_inference,[],[1828,8,9,12,11,7,10])).
% 67.20/67.29  cnf(3008,plain,
% 67.20/67.29     (E(f11(f11(a7,a7),x30081),f11(f11(a1,a1),x30081))),
% 67.20/67.29     inference(scs_inference,[],[1828,8,9,12,11,7,10,5])).
% 67.20/67.29  cnf(3009,plain,
% 67.20/67.29     (E(f11(x30091,f11(a7,a7)),f11(x30091,f11(a1,a1)))),
% 67.20/67.29     inference(scs_inference,[],[1828,8,9,12,11,7,10,5,6])).
% 67.20/67.29  cnf(3011,plain,
% 67.20/67.29     (~E(a2,f3(a9))),
% 67.20/67.29     inference(scs_inference,[],[268,1828,8,9,12,11,7,10,5,6,4,2])).
% 67.20/67.29  cnf(3012,plain,
% 67.20/67.29     (~E(a2,a8)),
% 67.20/67.29     inference(scs_inference,[],[268,1828,30,21,8,9,12,11,7,10,5,6,4,2,13])).
% 67.20/67.29  cnf(3013,plain,
% 67.20/67.29     (E(f6(f11(a7,a7),f11(a7,a7)),f6(f11(a2,a1),f11(a2,a1)))),
% 67.20/67.29     inference(scs_inference,[],[2944,2946,268,1828,30,21,8,9,12,11,7,10,5,6,4,2,13,3])).
% 67.20/67.29  cnf(3017,plain,
% 67.20/67.29     (E(f11(f11(a7,a7),x30171),f11(f11(a2,a1),x30171))),
% 67.20/67.29     inference(rename_variables,[],[2948])).
% 67.20/67.29  cnf(3022,plain,
% 67.20/67.29     (P2(f3(f11(a2,f11(x30221,a7))),f11(a1,f11(x30221,a1)))),
% 67.20/67.29     inference(scs_inference,[],[993,2944,2946,2948,3017,2842,2963,268,2188,1828,30,21,8,9,12,11,7,10,5,6,4,2,13,3,15,14,17])).
% 67.20/67.29  cnf(3026,plain,
% 67.20/67.29     (~P4(f11(f11(a2,a1),a2),f3(f11(f11(a7,a7),a7)))),
% 67.20/67.29     inference(scs_inference,[],[993,2944,2946,2948,3017,2842,2963,268,2188,1828,30,21,8,9,12,11,7,10,5,6,4,2,13,3,15,14,17,41,43])).
% 67.20/67.29  cnf(3032,plain,
% 67.20/67.29     (E(f5(f11(a1,a1),x30321),f5(f11(a7,a7),x30321))),
% 67.20/67.29     inference(scs_inference,[],[1832,9])).
% 67.20/67.29  cnf(3033,plain,
% 67.20/67.29     (E(f6(x30331,f11(a1,a1)),f6(x30331,f11(a7,a7)))),
% 67.20/67.29     inference(scs_inference,[],[1832,9,12])).
% 67.20/67.29  cnf(3035,plain,
% 67.20/67.29     (E(f5(x30351,f11(a1,a1)),f5(x30351,f11(a7,a7)))),
% 67.20/67.29     inference(scs_inference,[],[1832,9,12,8,10])).
% 67.20/67.29  cnf(3036,plain,
% 67.20/67.29     (E(f6(f11(a1,a1),x30361),f6(f11(a7,a7),x30361))),
% 67.20/67.29     inference(scs_inference,[],[1832,9,12,8,10,11])).
% 67.20/67.29  cnf(3037,plain,
% 67.20/67.29     (E(f12(f11(a1,a1)),f12(f11(a7,a7)))),
% 67.20/67.29     inference(scs_inference,[],[1832,9,12,8,10,11,7])).
% 67.20/67.29  cnf(3038,plain,
% 67.20/67.29     (E(f11(f11(a1,a1),x30381),f11(f11(a7,a7),x30381))),
% 67.20/67.29     inference(scs_inference,[],[1832,9,12,8,10,11,7,5])).
% 67.20/67.29  cnf(3040,plain,
% 67.20/67.29     (E(f11(x30401,f11(a1,a1)),f11(x30401,f11(a7,a7)))),
% 67.20/67.29     inference(scs_inference,[],[1832,9,12,8,10,11,7,5,4,6])).
% 67.20/67.29  cnf(3043,plain,
% 67.20/67.29     (E(f11(x30431,f11(a7,a7)),f11(x30431,f11(a2,a1)))),
% 67.20/67.29     inference(rename_variables,[],[2950])).
% 67.20/67.29  cnf(3046,plain,
% 67.20/67.29     (E(f11(x30461,f11(a7,a7)),f11(x30461,f11(a2,a1)))),
% 67.20/67.29     inference(rename_variables,[],[2950])).
% 67.20/67.29  cnf(3049,plain,
% 67.20/67.29     (E(f11(x30491,f11(a7,a7)),f11(x30491,f11(a2,a1)))),
% 67.20/67.29     inference(rename_variables,[],[2950])).
% 67.20/67.29  cnf(3051,plain,
% 67.20/67.29     (P2(f3(f11(a7,f11(a7,a7))),f11(a2,f11(a2,a1)))),
% 67.20/67.29     inference(scs_inference,[],[2919,683,2950,3043,3046,3049,272,1981,2011,1832,9,12,8,10,11,7,5,4,6,2,3,15,14,18])).
% 67.20/67.29  cnf(3059,plain,
% 67.20/67.29     (~E(f3(a9),f11(f11(a2,a1),f12(a7)))),
% 67.20/67.29     inference(scs_inference,[],[2919,683,2950,3043,3046,3049,2978,272,1981,2011,1832,65,9,12,8,10,11,7,5,4,6,2,3,15,14,18,17,41,60])).
% 67.20/67.29  cnf(3060,plain,
% 67.20/67.29     (~P4(f11(a7,f11(a2,a1)),f3(f11(f11(a7,a7),a1)))),
% 67.20/67.29     inference(scs_inference,[],[2919,683,2950,3043,3046,3049,2978,272,1981,2011,1832,65,9,12,8,10,11,7,5,4,6,2,3,15,14,18,17,41,60,43])).
% 67.20/67.29  cnf(3067,plain,
% 67.20/67.29     (E(f6(x30671,f11(a7,a7)),f6(x30671,f11(a2,a2)))),
% 67.20/67.29     inference(scs_inference,[],[1822,12])).
% 67.20/67.29  cnf(3069,plain,
% 67.20/67.29     (E(f5(f11(a7,a7),x30691),f5(f11(a2,a2),x30691))),
% 67.20/67.29     inference(scs_inference,[],[1822,12,8,9])).
% 67.20/67.29  cnf(3070,plain,
% 67.20/67.29     (E(f5(x30701,f11(a7,a7)),f5(x30701,f11(a2,a2)))),
% 67.20/67.29     inference(scs_inference,[],[1822,12,8,9,10])).
% 67.20/67.29  cnf(3071,plain,
% 67.20/67.29     (E(f12(f11(a7,a7)),f12(f11(a2,a2)))),
% 67.20/67.29     inference(scs_inference,[],[1822,12,8,9,10,7])).
% 67.20/67.29  cnf(3072,plain,
% 67.20/67.29     (E(f11(f11(a7,a7),x30721),f11(f11(a2,a2),x30721))),
% 67.20/67.29     inference(scs_inference,[],[1822,12,8,9,10,7,5])).
% 67.20/67.29  cnf(3073,plain,
% 67.20/67.29     (E(f6(f11(a7,a7),x30731),f6(f11(a2,a2),x30731))),
% 67.20/67.29     inference(scs_inference,[],[1822,12,8,9,10,7,5,11])).
% 67.20/67.29  cnf(3074,plain,
% 67.20/67.29     (E(f11(x30741,f11(a7,a7)),f11(x30741,f11(a2,a2)))),
% 67.20/67.29     inference(scs_inference,[],[1822,12,8,9,10,7,5,11,6])).
% 67.20/67.29  cnf(3077,plain,
% 67.20/67.29     (E(f6(f11(a2,a1),f11(a2,a1)),f6(f11(a7,a7),f11(a7,a7)))),
% 67.20/67.29     inference(scs_inference,[],[3059,2974,2977,1822,12,8,9,10,7,5,11,6,4,2,3])).
% 67.20/67.29  cnf(3083,plain,
% 67.20/67.29     (P4(f3(f12(f11(a7,a7))),f12(f11(a1,a1)))),
% 67.20/67.29     inference(scs_inference,[],[3059,2974,2977,3006,3051,1822,86,33,12,8,9,10,7,5,11,6,4,2,3,42,15])).
% 67.20/67.29  cnf(3088,plain,
% 67.20/67.29     (~P2(f11(f11(a7,a7),f12(a1)),a9)),
% 67.20/67.29     inference(scs_inference,[],[715,3059,2974,2977,2982,3006,3008,3051,1822,65,86,33,12,8,9,10,7,5,11,6,4,2,3,42,15,14,17])).
% 67.20/67.29  cnf(3093,plain,
% 67.20/67.29     (~E(f3(a9),f11(f11(a7,a7),f12(a1)))),
% 67.20/67.29     inference(scs_inference,[],[715,3059,2974,2977,2982,3006,3008,3051,1822,65,86,33,12,8,9,10,7,5,11,6,4,2,3,42,15,14,17,41,60])).
% 67.20/67.29  cnf(3094,plain,
% 67.20/67.29     (~P4(f11(a2,f11(a2,a1)),f3(f11(a7,f11(a7,a7))))),
% 67.20/67.29     inference(scs_inference,[],[715,3059,2974,2977,2982,3006,3008,3051,1822,65,86,33,12,8,9,10,7,5,11,6,4,2,3,42,15,14,17,41,60,43])).
% 67.20/67.29  cnf(3127,plain,
% 67.20/67.29     (E(f6(x31271,f11(a7,a7)),f6(x31271,f11(a1,a2)))),
% 67.20/67.29     inference(scs_inference,[],[1806,12])).
% 67.20/67.29  cnf(3128,plain,
% 67.20/67.29     (E(f5(f11(a7,a7),x31281),f5(f11(a1,a2),x31281))),
% 67.20/67.29     inference(scs_inference,[],[1806,12,9])).
% 67.20/67.29  cnf(3130,plain,
% 67.20/67.29     (E(f5(x31301,f11(a7,a7)),f5(x31301,f11(a1,a2)))),
% 67.20/67.29     inference(scs_inference,[],[1806,12,9,8,10])).
% 67.20/67.29  cnf(3131,plain,
% 67.20/67.29     (E(f12(f11(a7,a7)),f12(f11(a1,a2)))),
% 67.20/67.29     inference(scs_inference,[],[1806,12,9,8,10,7])).
% 67.20/67.29  cnf(3132,plain,
% 67.20/67.29     (E(f11(f11(a7,a7),x31321),f11(f11(a1,a2),x31321))),
% 67.20/67.29     inference(scs_inference,[],[1806,12,9,8,10,7,5])).
% 67.20/67.29  cnf(3133,plain,
% 67.20/67.29     (E(f11(x31331,f11(a7,a7)),f11(x31331,f11(a1,a2)))),
% 67.20/67.29     inference(scs_inference,[],[1806,12,9,8,10,7,5,6])).
% 67.20/67.29  cnf(3134,plain,
% 67.20/67.29     (E(f6(f11(a7,a7),x31341),f6(f11(a1,a2),x31341))),
% 67.20/67.29     inference(scs_inference,[],[1806,12,9,8,10,7,5,6,11])).
% 67.20/67.29  cnf(3139,plain,
% 67.20/67.29     (E(f5(f11(a2,a1),f11(a2,a1)),f5(f11(a7,a7),f11(a7,a7)))),
% 67.20/67.29     inference(scs_inference,[],[3093,2976,2980,3083,1806,12,9,8,10,7,5,6,11,4,43,2,3])).
% 67.20/67.29  cnf(3142,plain,
% 67.20/67.29     (P4(f3(f11(a2,f11(a7,a7))),f11(a7,f11(a1,a1)))),
% 67.20/67.29     inference(scs_inference,[],[3093,2976,2980,3009,3083,2032,1806,12,9,8,10,7,5,6,11,4,43,2,3,15])).
% 67.20/67.29  cnf(3143,plain,
% 67.20/67.29     (E(f11(x31431,f11(a7,a7)),f11(x31431,f11(a1,a1)))),
% 67.20/67.29     inference(rename_variables,[],[3009])).
% 67.20/67.29  cnf(3151,plain,
% 67.20/67.29     (P2(f3(f11(a2,f11(a7,a7))),f11(a7,f11(a1,a1)))),
% 67.20/67.29     inference(scs_inference,[],[718,3093,2976,2980,3009,3143,3038,3083,2861,2032,1806,12,9,8,10,7,5,6,11,4,43,2,3,15,14,17,41])).
% 67.20/67.29  cnf(3153,plain,
% 67.20/67.29     (~E(f3(a9),f11(f11(a1,a1),f12(a2)))),
% 67.20/67.29     inference(scs_inference,[],[718,3093,2976,2980,3009,3143,3038,3083,2861,2032,1806,12,9,8,10,7,5,6,11,4,43,2,3,15,14,17,41,60])).
% 67.20/67.29  cnf(3160,plain,
% 67.20/67.29     (E(f5(x31601,f11(a1,a2)),f5(x31601,f11(a7,a7)))),
% 67.20/67.29     inference(scs_inference,[],[1810,10])).
% 67.20/67.29  cnf(3161,plain,
% 67.20/67.29     (E(f6(x31611,f11(a1,a2)),f6(x31611,f11(a7,a7)))),
% 67.20/67.29     inference(scs_inference,[],[1810,10,12])).
% 67.20/67.29  cnf(3163,plain,
% 67.20/67.29     (E(f5(f11(a1,a2),x31631),f5(f11(a7,a7),x31631))),
% 67.20/67.29     inference(scs_inference,[],[1810,10,12,8,9])).
% 67.20/67.29  cnf(3165,plain,
% 67.20/67.29     (E(f6(f11(a1,a2),x31651),f6(f11(a7,a7),x31651))),
% 67.20/67.29     inference(scs_inference,[],[1810,10,12,8,9,7,11])).
% 67.20/67.29  cnf(3166,plain,
% 67.20/67.29     (E(f11(f11(a1,a2),x31661),f11(f11(a7,a7),x31661))),
% 67.20/67.29     inference(scs_inference,[],[1810,10,12,8,9,7,11,5])).
% 67.20/67.29  cnf(3167,plain,
% 67.20/67.29     (E(f11(x31671,f11(a1,a2)),f11(x31671,f11(a7,a7)))),
% 67.20/67.29     inference(scs_inference,[],[1810,10,12,8,9,7,11,5,6])).
% 67.20/67.29  cnf(3169,plain,
% 67.20/67.29     (~P4(f11(a7,f11(a1,a1)),f3(f11(a2,f11(a7,a7))))),
% 67.20/67.29     inference(scs_inference,[],[3142,1810,10,12,8,9,7,11,5,6,4,43])).
% 67.20/67.29  cnf(3172,plain,
% 67.20/67.29     (E(f5(f11(a7,a7),f11(a7,a7)),f5(f11(a1,a1),f11(a1,a1)))),
% 67.20/67.29     inference(scs_inference,[],[3153,3003,3007,3142,1810,10,12,8,9,7,11,5,6,4,43,2,3])).
% 67.20/67.29  cnf(3175,plain,
% 67.20/67.29     (P4(f3(f11(f11(x31751,a7),a1)),f11(f11(a2,x31751),a7))),
% 67.20/67.29     inference(scs_inference,[],[3153,3003,3007,3142,2930,1810,33,10,12,8,9,7,11,5,6,4,43,2,3,42])).
% 67.20/67.29  cnf(3178,plain,
% 67.20/67.29     (P4(f3(f12(f11(a7,a7))),f12(f11(a2,a2)))),
% 67.20/67.29     inference(scs_inference,[],[3153,3003,3007,3071,3142,2930,1810,86,33,10,12,8,9,7,11,5,6,4,43,2,3,42,15])).
% 67.20/67.29  cnf(3183,plain,
% 67.20/67.29     (~P2(f11(f12(a2),f11(a1,a1)),a9)),
% 67.20/67.29     inference(scs_inference,[],[3153,2984,3003,3007,3037,3040,3071,3142,2930,2989,2895,1810,86,27,33,10,12,8,9,7,11,5,6,4,43,2,3,42,15,14,18,17])).
% 67.20/67.29  cnf(3188,plain,
% 67.20/67.29     (~E(f3(a9),f11(f12(a2),f11(a1,a1)))),
% 67.20/67.29     inference(scs_inference,[],[3153,2984,3003,3007,3037,3040,3071,3142,2930,2989,2895,1810,86,27,33,10,12,8,9,7,11,5,6,4,43,2,3,42,15,14,18,17,41,60])).
% 67.20/67.29  cnf(3198,plain,
% 67.20/67.29     (E(f6(x31981,f11(x31982,a1)),f6(x31981,f11(a7,x31982)))),
% 67.20/67.29     inference(scs_inference,[],[3178,1736,43,9,10,8,12])).
% 67.20/67.29  cnf(3200,plain,
% 67.20/67.29     (E(f11(x32001,f11(x32002,a1)),f11(x32001,f11(a7,x32002)))),
% 67.20/67.29     inference(scs_inference,[],[3178,1736,43,9,10,8,12,7,6])).
% 67.20/67.29  cnf(3202,plain,
% 67.20/67.29     (E(f11(f11(x32021,a1),x32022),f11(f11(a7,x32021),x32022))),
% 67.20/67.29     inference(scs_inference,[],[3178,1736,43,9,10,8,12,7,6,11,5])).
% 67.20/67.29  cnf(3203,plain,
% 67.20/67.29     (E(f3(f11(x32031,a1)),f3(f11(a7,x32031)))),
% 67.20/67.29     inference(scs_inference,[],[3178,1736,43,9,10,8,12,7,6,11,5,4])).
% 67.20/67.29  cnf(3205,plain,
% 67.20/67.29     (P4(f3(f11(f11(a7,a7),a7)),f11(f11(a2,a2),a1))),
% 67.20/67.29     inference(scs_inference,[],[3188,3072,3178,2217,1736,43,9,10,8,12,7,6,11,5,4,2,15])).
% 67.20/67.29  cnf(3208,plain,
% 67.20/67.29     (E(f6(f11(a7,a7),f11(a7,a7)),f6(f11(a1,a1),f11(a1,a1)))),
% 67.20/67.29     inference(scs_inference,[],[3188,3004,3005,3072,3178,2217,1736,43,9,10,8,12,7,6,11,5,4,2,15,3])).
% 67.20/67.29  cnf(3218,plain,
% 67.20/67.29     (~E(f3(a9),f11(f11(a1,a2),f12(a2)))),
% 67.20/67.29     inference(scs_inference,[],[3188,2979,3004,3005,3072,3166,3178,2859,2217,1736,2861,43,9,10,8,12,7,6,11,5,4,2,15,3,17,14,41,60])).
% 67.20/67.29  cnf(3224,plain,
% 67.20/67.29     (~P4(f11(f11(a2,a2),a1),f3(f11(f11(a7,a7),a7)))),
% 67.20/67.29     inference(scs_inference,[],[3205,43])).
% 67.20/67.29  cnf(3232,plain,
% 67.20/67.29     (E(f11(x32321,f11(a1,x32322)),f11(x32321,f11(x32322,a7)))),
% 67.20/67.29     inference(scs_inference,[],[3205,2429,43,8,9,10,12,7,11,6])).
% 67.20/67.29  cnf(3233,plain,
% 67.20/67.29     (E(f11(f11(a1,x32331),x32332),f11(f11(x32331,a7),x32332))),
% 67.20/67.29     inference(scs_inference,[],[3205,2429,43,8,9,10,12,7,11,6,5])).
% 67.20/67.29  cnf(3234,plain,
% 67.20/67.29     (E(f3(f11(a1,x32341)),f3(f11(x32341,a7)))),
% 67.20/67.29     inference(scs_inference,[],[3205,2429,43,8,9,10,12,7,11,6,5,4])).
% 67.20/67.29  cnf(3236,plain,
% 67.20/67.29     (P4(f3(f11(f11(a7,a7),a7)),f11(a2,f11(a2,a2)))),
% 67.20/67.29     inference(scs_inference,[],[3218,3074,3205,2234,2429,43,8,9,10,12,7,11,6,5,4,2,15])).
% 67.20/67.29  cnf(3237,plain,
% 67.20/67.29     (E(f11(x32371,f11(a7,a7)),f11(x32371,f11(a2,a2)))),
% 67.20/67.29     inference(rename_variables,[],[3074])).
% 67.20/67.29  cnf(3239,plain,
% 67.20/67.29     (E(f5(f11(a1,a1),f11(a1,a1)),f5(f11(a7,a7),f11(a7,a7)))),
% 67.20/67.29     inference(scs_inference,[],[3218,3032,3035,3074,3205,2234,2429,43,8,9,10,12,7,11,6,5,4,2,15,3])).
% 67.20/67.29  cnf(3242,plain,
% 67.20/67.29     (~P2(f11(f12(a1),f11(a7,a7)),a9)),
% 67.20/67.29     inference(scs_inference,[],[3218,3032,3035,3074,3133,3205,2234,2429,224,43,8,9,10,12,7,11,6,5,4,2,15,3,17])).
% 67.20/67.29  cnf(3251,plain,
% 67.20/67.29     (~E(f3(a9),f11(f12(a1),f11(a7,a7)))),
% 67.20/67.29     inference(scs_inference,[],[1971,3218,3032,3035,3074,3237,3133,3205,2234,2429,224,30,22,43,8,9,10,12,7,11,6,5,4,2,15,3,17,14,13,41,60])).
% 67.20/67.29  cnf(3269,plain,
% 67.20/67.29     (E(f3(f11(x32691,a7)),f3(f11(a1,x32691)))),
% 67.20/67.29     inference(scs_inference,[],[3236,2432,43,10,12,8,9,7,6,11,4])).
% 67.20/67.29  cnf(3272,plain,
% 67.20/67.29     (P4(f3(f12(f11(a7,a7))),f12(f11(a1,a2)))),
% 67.20/67.29     inference(scs_inference,[],[3251,3131,3236,2432,86,43,10,12,8,9,7,6,11,4,5,2,15])).
% 67.20/67.29  cnf(3274,plain,
% 67.20/67.29     (E(f6(f11(a7,a7),f11(a1,a1)),f6(f11(a2,a1),f11(a2,a1)))),
% 67.36/67.29     inference(scs_inference,[],[3251,3013,3033,3131,3236,2432,86,43,10,12,8,9,7,6,11,4,5,2,15,3])).
% 67.36/67.29  cnf(3276,plain,
% 67.36/67.29     (~P2(f11(f11(a7,a1),f12(a1)),a9)),
% 67.36/67.29     inference(scs_inference,[],[3251,3088,3013,3033,3131,3202,3236,2432,86,43,10,12,8,9,7,6,11,4,5,2,15,3,17])).
% 67.36/67.29  cnf(3278,plain,
% 67.36/67.29     (P4(f3(f11(a2,f11(x32781,a7))),f11(a1,f11(x32781,a1)))),
% 67.36/67.29     inference(scs_inference,[],[3251,3088,3013,3033,3131,3202,3236,3022,2432,86,33,43,10,12,8,9,7,6,11,4,5,2,15,3,17,42])).
% 67.36/67.29  cnf(3287,plain,
% 67.36/67.29     (~E(f3(a9),f11(f11(a7,a1),f12(a1)))),
% 67.36/67.29     inference(scs_inference,[],[3251,3088,3013,3033,3131,3202,3236,3022,2432,91,86,27,33,43,10,12,8,9,7,6,11,4,5,2,15,3,17,42,14,18,41,60])).
% 67.36/67.29  cnf(3301,plain,
% 67.36/67.29     (E(f11(x33011,f11(a2,x33012)),f11(x33011,f11(x33012,a7)))),
% 67.36/67.29     inference(scs_inference,[],[3272,2406,43,8,10,9,12,11,7,6])).
% 67.36/67.29  cnf(3302,plain,
% 67.36/67.29     (E(f11(f11(a2,x33021),x33022),f11(f11(x33021,a7),x33022))),
% 67.36/67.29     inference(scs_inference,[],[3272,2406,43,8,10,9,12,11,7,6,5])).
% 67.36/67.29  cnf(3303,plain,
% 67.36/67.29     (E(f3(f11(a2,x33031)),f3(f11(x33031,a7)))),
% 67.36/67.29     inference(scs_inference,[],[3272,2406,43,8,10,9,12,11,7,6,5,4])).
% 67.36/67.29  cnf(3305,plain,
% 67.36/67.29     (P4(f3(f11(f11(a7,a7),a2)),f11(f11(a1,a2),a1))),
% 67.36/67.29     inference(scs_inference,[],[3287,3132,3272,988,2406,43,8,10,9,12,11,7,6,5,4,2,15])).
% 67.36/67.29  cnf(3306,plain,
% 67.36/67.29     (E(f11(f11(a7,a7),x33061),f11(f11(a1,a2),x33061))),
% 67.36/67.29     inference(rename_variables,[],[3132])).
% 67.36/67.29  cnf(3311,plain,
% 67.36/67.29     (~P2(f11(f12(a1),f11(a7,a1)),a9)),
% 67.36/67.29     inference(scs_inference,[],[3287,3242,3036,3067,3132,3200,3272,988,2406,43,8,10,9,12,11,7,6,5,4,2,15,3,17])).
% 67.36/67.29  cnf(3318,plain,
% 67.36/67.29     (~E(f3(a9),f11(f12(a1),f11(a7,a1)))),
% 67.36/67.29     inference(scs_inference,[],[35,3287,3242,3036,3067,3132,3306,3200,3272,988,2406,43,8,10,9,12,11,7,6,5,4,2,15,3,17,14,41,60])).
% 67.36/67.29  cnf(3331,plain,
% 67.36/67.29     (E(f11(x33311,f11(x33312,a2)),f11(x33311,f11(x33312,a7)))),
% 67.36/67.29     inference(scs_inference,[],[3305,2339,43,9,12,8,10,11,6])).
% 67.36/67.29  cnf(3334,plain,
% 67.36/67.29     (E(f11(f11(x33341,a2),x33342),f11(f11(x33341,a7),x33342))),
% 67.36/67.29     inference(scs_inference,[],[3305,2339,1640,43,9,12,8,10,11,6,7,4,5])).
% 67.36/67.29  cnf(3336,plain,
% 67.36/67.29     (P4(f3(f11(f11(a1,a2),a1)),f11(a2,f11(a7,a7)))),
% 67.36/67.29     inference(scs_inference,[],[3318,3167,3305,675,2339,1640,43,9,12,8,10,11,6,7,4,5,2,15])).
% 67.36/67.29  cnf(3337,plain,
% 67.36/67.29     (E(f11(x33371,f11(a1,a2)),f11(x33371,f11(a7,a7)))),
% 67.36/67.29     inference(rename_variables,[],[3167])).
% 67.36/67.29  cnf(3339,plain,
% 67.36/67.29     (E(f5(f11(a7,a7),f11(a7,a7)),f5(f11(a2,a2),f11(a2,a2)))),
% 67.36/67.29     inference(scs_inference,[],[3318,3069,3070,3167,3305,675,2339,1640,43,9,12,8,10,11,6,7,4,5,2,15,3])).
% 67.36/67.29  cnf(3344,plain,
% 67.36/67.29     (E(f11(x33441,f11(a1,a2)),f11(x33441,f11(a7,a7)))),
% 67.36/67.29     inference(rename_variables,[],[3167])).
% 67.36/67.29  cnf(3350,plain,
% 67.36/67.29     (~E(f3(a9),f11(f12(a2),f11(a1,a2)))),
% 67.36/67.29     inference(scs_inference,[],[1974,3318,3069,3070,3167,3337,3344,3305,675,2895,2339,1640,43,9,12,8,10,11,6,7,4,5,2,15,3,17,14,41,60])).
% 67.36/67.29  cnf(3357,plain,
% 67.36/67.29     (~P4(f11(a2,f11(a7,a7)),f3(f11(f11(a1,a2),a1)))),
% 67.36/67.29     inference(scs_inference,[],[3336,43])).
% 67.36/67.29  cnf(3359,plain,
% 67.36/67.29     (E(f6(x33591,f11(a2,a7)),f6(x33591,f11(a1,a1)))),
% 67.36/67.29     inference(scs_inference,[],[3336,1673,43,12])).
% 67.36/67.29  cnf(3360,plain,
% 67.36/67.29     (E(f5(f11(a2,a7),x33601),f5(f11(a1,a1),x33601))),
% 67.36/67.29     inference(scs_inference,[],[3336,1673,43,12,9])).
% 67.36/67.29  cnf(3361,plain,
% 67.36/67.29     (E(f5(x33611,f11(a2,a7)),f5(x33611,f11(a1,a1)))),
% 67.36/67.29     inference(scs_inference,[],[3336,1673,43,12,9,10])).
% 67.36/67.29  cnf(3364,plain,
% 67.36/67.29     (E(f6(f11(a2,a7),x33641),f6(f11(a1,a1),x33641))),
% 67.36/67.29     inference(scs_inference,[],[3336,1673,43,12,9,10,8,7,11])).
% 67.36/67.29  cnf(3365,plain,
% 67.36/67.29     (E(f11(x33651,f11(a2,a7)),f11(x33651,f11(a1,a1)))),
% 67.36/67.29     inference(scs_inference,[],[3336,1673,43,12,9,10,8,7,11,6])).
% 67.36/67.29  cnf(3367,plain,
% 67.36/67.29     (E(f11(f11(a2,a7),x33671),f11(f11(a1,a1),x33671))),
% 67.36/67.29     inference(scs_inference,[],[3336,1673,43,12,9,10,8,7,11,6,4,5])).
% 67.36/67.29  cnf(3369,plain,
% 67.36/67.29     (P4(f3(f11(f11(a7,a7),a1)),f11(f11(a2,a2),a7))),
% 67.36/67.29     inference(scs_inference,[],[3350,2916,3336,3175,1673,43,12,9,10,8,7,11,6,4,5,2,15])).
% 67.36/67.29  cnf(3373,plain,
% 67.36/67.29     (E(f6(f11(a7,a7),x33731),f6(f11(a2,a2),x33731))),
% 67.36/67.29     inference(rename_variables,[],[3073])).
% 67.36/67.29  cnf(3377,plain,
% 67.36/67.29     (P2(f3(f6(f11(a7,a7),x33771)),f6(f11(a2,a2),x33771))),
% 67.36/67.29     inference(scs_inference,[],[3350,3073,3373,3127,2916,3301,3336,3175,3242,1673,27,43,12,9,10,8,7,11,6,4,5,2,15,3,17,18])).
% 67.36/67.29  cnf(3384,plain,
% 67.36/67.29     (~E(f3(a9),f11(f12(a1),f11(a2,a7)))),
% 67.36/67.29     inference(scs_inference,[],[2016,3350,3073,3373,3127,2916,2917,3301,3336,3175,3242,1673,27,43,12,9,10,8,7,11,6,4,5,2,15,3,17,18,14,41,60])).
% 67.36/67.29  cnf(3391,plain,
% 67.36/67.29     (~P4(f11(f11(a2,a2),a7),f3(f11(f11(a7,a7),a1)))),
% 67.36/67.29     inference(scs_inference,[],[3369,43])).
% 67.36/67.29  cnf(3393,plain,
% 67.36/67.29     (E(f5(f11(a7,a1),x33931),f5(f11(a2,a2),x33931))),
% 67.36/67.29     inference(scs_inference,[],[3369,1629,43,9])).
% 67.36/67.29  cnf(3394,plain,
% 67.36/67.29     (E(f6(x33941,f11(a7,a1)),f6(x33941,f11(a2,a2)))),
% 67.36/67.29     inference(scs_inference,[],[3369,1629,43,9,12])).
% 67.36/67.29  cnf(3396,plain,
% 67.36/67.29     (E(f5(x33961,f11(a7,a1)),f5(x33961,f11(a2,a2)))),
% 67.36/67.29     inference(scs_inference,[],[3369,1629,43,9,12,8,10])).
% 67.36/67.29  cnf(3397,plain,
% 67.36/67.29     (E(f11(x33971,f11(a7,a1)),f11(x33971,f11(a2,a2)))),
% 67.36/67.29     inference(scs_inference,[],[3369,1629,43,9,12,8,10,6])).
% 67.36/67.29  cnf(3398,plain,
% 67.36/67.29     (E(f12(f11(a7,a1)),f12(f11(a2,a2)))),
% 67.36/67.29     inference(scs_inference,[],[3369,1629,43,9,12,8,10,6,7])).
% 67.36/67.29  cnf(3399,plain,
% 67.36/67.29     (E(f6(f11(a7,a1),x33991),f6(f11(a2,a2),x33991))),
% 67.36/67.29     inference(scs_inference,[],[3369,1629,43,9,12,8,10,6,7,11])).
% 67.36/67.29  cnf(3401,plain,
% 67.36/67.29     (E(f11(f11(a7,a1),x34011),f11(f11(a2,a2),x34011))),
% 67.36/67.29     inference(scs_inference,[],[3369,1629,43,9,12,8,10,6,7,11,4,5])).
% 67.36/67.29  cnf(3405,plain,
% 67.36/67.29     (E(f6(f11(a2,a1),f11(a2,a1)),f6(f11(a1,a2),f11(a7,a7)))),
% 67.36/67.29     inference(scs_inference,[],[3384,3077,3134,3269,3369,2934,1629,43,9,12,8,10,6,7,11,4,5,2,15,3])).
% 67.36/67.29  cnf(3407,plain,
% 67.36/67.29     (~P2(f11(f11(a1,x34071),f12(a2)),a9)),
% 67.36/67.29     inference(scs_inference,[],[3384,3077,3134,3233,3269,3369,2934,1629,2861,43,9,12,8,10,6,7,11,4,5,2,15,3,17])).
% 67.36/67.29  cnf(3413,plain,
% 67.36/67.29     (~E(f3(a9),f11(f11(a1,x34131),f12(a2)))),
% 67.36/67.29     inference(scs_inference,[],[2019,3384,3077,3134,3365,3233,3269,3369,2934,1629,2861,43,9,12,8,10,6,7,11,4,5,2,15,3,17,14,60])).
% 67.36/67.29  cnf(3422,plain,
% 67.36/67.29     (E(f6(x34221,f11(a7,a2)),f6(x34221,f11(a1,a1)))),
% 67.36/67.29     inference(scs_inference,[],[3278,1630,43,12])).
% 67.36/67.29  cnf(3423,plain,
% 67.36/67.29     (E(f5(f11(a7,a2),x34231),f5(f11(a1,a1),x34231))),
% 67.36/67.29     inference(scs_inference,[],[3278,1630,43,12,9])).
% 67.36/67.29  cnf(3424,plain,
% 67.36/67.29     (E(f5(x34241,f11(a7,a2)),f5(x34241,f11(a1,a1)))),
% 67.36/67.29     inference(scs_inference,[],[3278,1630,43,12,9,10])).
% 67.36/67.29  cnf(3427,plain,
% 67.36/67.29     (E(f11(x34271,f11(a7,a2)),f11(x34271,f11(a1,a1)))),
% 67.36/67.29     inference(scs_inference,[],[3278,1630,43,12,9,10,8,11,6])).
% 67.36/67.29  cnf(3428,plain,
% 67.36/67.29     (E(f11(f11(a7,a2),x34281),f11(f11(a1,a1),x34281))),
% 67.36/67.29     inference(scs_inference,[],[3278,1630,43,12,9,10,8,11,6,5])).
% 67.36/67.29  cnf(3430,plain,
% 67.36/67.29     (E(f12(f11(a7,a2)),f12(f11(a1,a1)))),
% 67.36/67.29     inference(scs_inference,[],[3278,1630,43,12,9,10,8,11,6,5,4,7])).
% 67.36/67.29  cnf(3432,plain,
% 67.36/67.29     (P4(f3(f11(f11(a2,a7),a1)),f11(f11(a1,a1),a2))),
% 67.36/67.29     inference(scs_inference,[],[3413,3367,3278,689,1630,43,12,9,10,8,11,6,5,4,7,2,15])).
% 67.36/67.29  cnf(3433,plain,
% 67.36/67.29     (E(f11(f11(a2,a7),x34331),f11(f11(a1,a1),x34331))),
% 67.36/67.29     inference(rename_variables,[],[3367])).
% 67.36/67.29  cnf(3441,plain,
% 67.36/67.29     (~E(a2,f11(x34411,x34412))),
% 67.36/67.29     inference(scs_inference,[],[3413,3128,3130,3367,3397,3278,689,1630,224,21,33,43,12,9,10,8,11,6,5,4,7,2,15,3,17,13])).
% 67.36/67.29  cnf(3442,plain,
% 67.36/67.29     (~P4(f11(f11(a2,a7),f12(a1)),a9)),
% 67.36/67.29     inference(scs_inference,[],[35,3413,3128,3130,3367,3433,3397,3278,689,1630,224,21,33,43,12,9,10,8,11,6,5,4,7,2,15,3,17,13,14])).
% 67.36/67.29  cnf(3447,plain,
% 67.36/67.29     (~E(f3(a9),f11(f12(a2),f11(a7,a1)))),
% 67.36/67.29     inference(scs_inference,[],[35,3413,3128,3130,3367,3433,3397,3278,689,1630,224,21,33,43,12,9,10,8,11,6,5,4,7,2,15,3,17,13,14,41,60])).
% 67.36/67.29  cnf(3454,plain,
% 67.36/67.29     (~P4(f11(f11(a1,a1),a2),f3(f11(f11(a2,a7),a1)))),
% 67.36/67.29     inference(scs_inference,[],[3432,43])).
% 67.36/67.29  cnf(3460,plain,
% 67.36/67.29     (E(f11(f11(a2,a2),x34601),f11(f11(a7,a7),x34601))),
% 67.36/67.29     inference(scs_inference,[],[3432,1826,43,9,12,8,10,5])).
% 67.36/67.29  cnf(3462,plain,
% 67.36/67.29     (E(f12(f11(a2,a2)),f12(f11(a7,a7)))),
% 67.36/67.29     inference(scs_inference,[],[3432,1826,43,9,12,8,10,5,4,7])).
% 67.36/67.29  cnf(3464,plain,
% 67.36/67.29     (E(f11(x34641,f11(a2,a2)),f11(x34641,f11(a7,a7)))),
% 67.36/67.29     inference(scs_inference,[],[3432,1826,43,9,12,8,10,5,4,7,11,6])).
% 67.36/67.29  cnf(3471,plain,
% 67.36/67.29     (~P2(f11(f11(a2,a7),f12(a1)),a9)),
% 67.36/67.29     inference(scs_inference,[],[3447,3183,3442,3139,3172,3427,3234,3432,3026,1826,46,43,9,12,8,10,5,4,7,11,6,2,15,3,17,42])).
% 67.36/67.29  cnf(3473,plain,
% 67.36/67.29     (~P4(f11(f11(a7,a1),f12(a2)),a9)),
% 67.36/67.29     inference(scs_inference,[],[35,3447,3183,3442,3139,3172,3401,3427,3234,3432,3026,1826,46,43,9,12,8,10,5,4,7,11,6,2,15,3,17,42,14])).
% 67.36/67.29  cnf(3476,plain,
% 67.36/67.29     (~E(f3(a9),f11(f12(a2),f11(a7,a2)))),
% 67.36/67.29     inference(scs_inference,[],[35,3447,3183,3442,3139,3172,3401,3427,3234,3432,3026,1826,46,43,9,12,8,10,5,4,7,11,6,2,15,3,17,42,14,60])).
% 67.36/67.29  cnf(3490,plain,
% 67.36/67.29     (E(f11(x34901,f11(a2,x34902)),f11(x34901,f11(a7,x34902)))),
% 67.36/67.29     inference(scs_inference,[],[3175,1785,43,12,9,10,8,7,11,6])).
% 67.36/67.29  cnf(3491,plain,
% 67.36/67.29     (E(f11(f11(a2,x34911),x34912),f11(f11(a7,x34911),x34912))),
% 67.36/67.29     inference(scs_inference,[],[3175,1785,43,12,9,10,8,7,11,6,5])).
% 67.36/67.29  cnf(3493,plain,
% 67.36/67.29     (~E(f3(a9),f11(f11(a2,a7),f12(a1)))),
% 67.36/67.29     inference(scs_inference,[],[3471,3175,1785,43,12,9,10,8,7,11,6,5,4,60])).
% 67.36/67.29  cnf(3495,plain,
% 67.36/67.29     (P4(f3(f12(f11(a7,a1))),f12(f11(a2,a2)))),
% 67.36/67.29     inference(scs_inference,[],[3476,3471,3398,3175,1785,86,43,12,9,10,8,7,11,6,5,4,60,2,15])).
% 67.36/67.29  cnf(3500,plain,
% 67.36/67.29     (~P2(f11(f11(a7,a2),f12(a2)),a9)),
% 67.36/67.29     inference(scs_inference,[],[3476,3471,3407,3160,3163,3398,3428,3175,1785,86,43,12,9,10,8,7,11,6,5,4,60,2,15,3,17])).
% 67.36/67.29  cnf(3521,plain,
% 67.36/67.29     (E(f11(f11(a7,x35211),x35212),f11(f11(x35211,a1),x35212))),
% 67.36/67.29     inference(scs_inference,[],[3495,1738,43,12,10,8,9,7,11,5])).
% 67.36/67.29  cnf(3522,plain,
% 67.36/67.29     (E(f11(x35221,f11(a7,x35222)),f11(x35221,f11(x35222,a1)))),
% 67.36/67.29     inference(scs_inference,[],[3495,1738,43,12,10,8,9,7,11,5,6])).
% 67.36/67.29  cnf(3523,plain,
% 67.36/67.29     (E(f3(f11(a7,x35231)),f3(f11(x35231,a1)))),
% 67.36/67.29     inference(scs_inference,[],[3495,1738,43,12,10,8,9,7,11,5,6,4])).
% 67.36/67.29  cnf(3524,plain,
% 67.36/67.29     (~E(f3(a9),f11(f11(a7,a2),f12(a2)))),
% 67.36/67.29     inference(scs_inference,[],[3500,3495,1738,43,12,10,8,9,7,11,5,6,4,60])).
% 67.36/67.29  cnf(3529,plain,
% 67.36/67.29     (E(f6(x35291,f11(a1,a2)),f6(x35291,f11(a7,a7)))),
% 67.36/67.29     inference(rename_variables,[],[3161])).
% 67.36/67.29  cnf(3531,plain,
% 67.36/67.29     (~P2(f11(f11(a2,a1),f12(a1)),a9)),
% 67.36/67.29     inference(scs_inference,[],[3493,3276,3500,3161,3165,3491,2882,3495,3060,1738,43,12,10,8,9,7,11,5,6,4,60,2,15,3,17])).
% 67.36/67.29  cnf(3536,plain,
% 67.36/67.29     (~P4(f11(f11(a2,a2),f12(a7)),a9)),
% 67.36/67.29     inference(scs_inference,[],[35,3493,3276,3500,3161,3529,3165,3460,3491,2882,3377,3495,3060,1738,43,12,10,8,9,7,11,5,6,4,60,2,15,3,17,18,14])).
% 67.36/67.29  cnf(3552,plain,
% 67.36/67.29     (E(f11(f11(x35521,a1),x35522),f11(f11(x35521,a7),x35522))),
% 67.36/67.29     inference(scs_inference,[],[3524,2384,2,8,9,10,12,11,7,6,5])).
% 67.36/67.29  cnf(3553,plain,
% 67.36/67.29     (E(f3(f11(x35531,a1)),f3(f11(x35531,a7)))),
% 67.36/67.29     inference(scs_inference,[],[3524,2384,2,8,9,10,12,11,7,6,5,4])).
% 67.36/67.29  cnf(3554,plain,
% 67.36/67.29     (~E(f3(a9),f11(f11(a2,a1),f12(a1)))),
% 67.36/67.29     inference(scs_inference,[],[3524,3531,2384,2,8,9,10,12,11,7,6,5,4,60])).
% 67.36/67.29  cnf(3559,plain,
% 67.36/67.29     (~P2(f11(f12(a1),f11(a2,a2)),a9)),
% 67.36/67.29     inference(scs_inference,[],[3524,3531,3208,3430,3464,3198,3242,2384,86,2,8,9,10,12,11,7,6,5,4,60,15,3,17])).
% 67.36/67.29  cnf(3561,plain,
% 67.36/67.29     (~P2(f11(f11(a7,a1),f12(a2)),a9)),
% 67.36/67.29     inference(scs_inference,[],[3524,3473,3531,3208,3430,3464,3198,3242,2384,86,46,2,8,9,10,12,11,7,6,5,4,60,15,3,17,42])).
% 67.36/67.29  cnf(3579,plain,
% 67.36/67.29     (E(f11(f11(a1,a1),x35791),f11(f11(a7,a2),x35791))),
% 67.36/67.29     inference(scs_inference,[],[3554,1640,2,10,12,9,8,7,11,5])).
% 67.36/67.29  cnf(3582,plain,
% 67.36/67.29     (~E(f3(a9),f11(f12(a1),f11(a2,a2)))),
% 67.36/67.29     inference(scs_inference,[],[3554,3559,1640,1659,2,10,12,9,8,7,11,5,6,4,60])).
% 67.36/67.29  cnf(3586,plain,
% 67.36/67.29     (~P2(f11(f12(a1),f11(a2,a1)),a9)),
% 67.36/67.29     inference(scs_inference,[],[3554,3311,3559,3239,3339,3490,3203,3094,1640,1659,2,10,12,9,8,7,11,5,6,4,60,15,3,17])).
% 67.36/67.29  cnf(3607,plain,
% 67.36/67.29     (E(f12(f11(a1,a7)),f12(f11(a2,a2)))),
% 67.36/67.29     inference(scs_inference,[],[3582,1596,2,9,8,12,10,11,7])).
% 67.36/67.29  cnf(3609,plain,
% 67.36/67.29     (E(f11(f11(a1,a7),x36091),f11(f11(a2,a2),x36091))),
% 67.36/67.29     inference(scs_inference,[],[3582,1596,2,9,8,12,10,11,7,6,5])).
% 67.36/67.29  cnf(3611,plain,
% 67.36/67.29     (~E(f3(a9),f11(f11(a7,a1),f12(a2)))),
% 67.36/67.29     inference(scs_inference,[],[3582,3561,1596,2,9,8,12,10,11,7,6,5,4,60])).
% 67.36/67.29  cnf(3615,plain,
% 67.36/67.29     (~P2(f11(f11(a7,a2),f12(a1)),a9)),
% 67.36/67.29     inference(scs_inference,[],[3582,3561,3274,3405,3462,3334,2857,3088,1596,2,9,8,12,10,11,7,6,5,4,60,15,3,17])).
% 67.36/67.29  cnf(3617,plain,
% 67.36/67.29     (~P2(f11(f11(a2,a2),f12(a7)),a9)),
% 67.36/67.29     inference(scs_inference,[],[3582,3536,3561,3274,3405,3462,3334,2857,3088,1596,46,2,9,8,12,10,11,7,6,5,4,60,15,3,17,42])).
% 67.36/67.29  cnf(3633,plain,
% 67.36/67.29     (E(f12(f11(a2,a2)),f12(f11(a7,a1)))),
% 67.36/67.29     inference(scs_inference,[],[3611,1618,2,12,8,9,10,11,7])).
% 67.36/67.29  cnf(3634,plain,
% 67.36/67.29     (E(f11(x36341,f11(a2,a2)),f11(x36341,f11(a7,a1)))),
% 67.36/67.29     inference(scs_inference,[],[3611,1618,2,12,8,9,10,11,7,6])).
% 67.36/67.29  cnf(3637,plain,
% 67.36/67.29     (~E(f3(a9),f11(f12(a1),f11(a2,a1)))),
% 67.36/67.29     inference(scs_inference,[],[3611,3586,1618,2,12,8,9,10,11,7,6,5,4,60])).
% 67.36/67.29  cnf(3643,plain,
% 67.36/67.29     (~P2(f11(f12(a1),f11(a7,a2)),a9)),
% 67.36/67.29     inference(scs_inference,[],[3611,3586,3359,3364,3522,3523,3357,1618,2,12,8,9,10,11,7,6,5,4,60,15,3,17])).
% 67.36/67.29  cnf(3663,plain,
% 67.36/67.29     (E(f11(f11(a7,x36631),x36632),f11(f11(a2,x36631),x36632))),
% 67.36/67.29     inference(scs_inference,[],[3637,1781,2,9,8,10,12,6,11,7,5])).
% 67.36/67.29  cnf(3664,plain,
% 67.36/67.29     (E(f3(f11(a7,x36641)),f3(f11(a2,x36641)))),
% 67.36/67.29     inference(scs_inference,[],[3637,1781,2,9,8,10,12,6,11,7,5,4])).
% 67.36/67.29  cnf(3665,plain,
% 67.36/67.29     (~E(f3(a9),f11(f11(a7,a2),f12(a1)))),
% 67.36/67.29     inference(scs_inference,[],[3637,3615,1781,2,9,8,10,12,6,11,7,5,4,60])).
% 67.36/67.29  cnf(3667,plain,
% 67.36/67.29     (E(f11(f11(a1,a1),x36671),f11(f11(a7,a2),x36671))),
% 67.36/67.29     inference(rename_variables,[],[3579])).
% 67.36/67.29  cnf(3672,plain,
% 67.36/67.29     (~P2(f11(f11(a1,a7),f12(a7)),a9)),
% 67.36/67.29     inference(scs_inference,[],[3637,3615,3617,3360,3361,3579,3609,113,1781,2,9,8,10,12,6,11,7,5,4,60,15,3,17])).
% 67.36/67.29  cnf(3677,plain,
% 67.36/67.29     (P2(f3(f11(f11(a1,a1),x36771)),f11(f11(a7,a2),x36771))),
% 67.36/67.29     inference(scs_inference,[],[2193,3637,3615,3617,3360,3361,3579,3667,3609,113,1781,2,9,8,10,12,6,11,7,5,4,60,15,3,17,14,41])).
% 67.36/67.29  cnf(3679,plain,
% 67.36/67.29     (~P4(f11(f11(a7,a2),x36791),f3(f11(f11(a1,a1),x36791)))),
% 67.36/67.29     inference(scs_inference,[],[2193,3637,3615,3617,3360,3361,3579,3667,3609,113,1781,2,9,8,10,12,6,11,7,5,4,60,15,3,17,14,41,43])).
% 67.36/67.29  cnf(3698,plain,
% 67.36/67.29     (~E(f3(a9),f11(f12(a1),f11(a7,a2)))),
% 67.36/67.29     inference(scs_inference,[],[3665,3643,1659,1586,2,10,8,9,12,7,11,6,5,4,60])).
% 67.36/67.29  cnf(3705,plain,
% 67.36/67.29     (~P2(f11(f11(a2,a2),f12(a1)),a9)),
% 67.36/67.29     inference(scs_inference,[],[3665,3643,3393,3396,3302,2853,3679,3471,1659,1586,2,10,8,9,12,7,11,6,5,4,60,15,3,17])).
% 67.36/67.29  cnf(3718,plain,
% 67.36/67.29     (E(f5(x37181,a1),f5(x37181,a7))),
% 67.36/67.29     inference(scs_inference,[],[3698,526,2,10])).
% 67.36/67.30  cnf(3719,plain,
% 67.36/67.30     (E(f6(x37191,a1),f6(x37191,a7))),
% 67.36/67.30     inference(scs_inference,[],[3698,526,2,10,12])).
% 67.36/67.30  cnf(3720,plain,
% 67.36/67.30     (E(f4(a1),f4(a7))),
% 67.36/67.30     inference(scs_inference,[],[3698,526,2,10,12,8])).
% 67.36/67.30  cnf(3721,plain,
% 67.36/67.30     (E(f5(a1,x37211),f5(a7,x37211))),
% 67.36/67.30     inference(scs_inference,[],[3698,526,2,10,12,8,9])).
% 67.36/67.30  cnf(3722,plain,
% 67.36/67.30     (E(f12(a1),f12(a7))),
% 67.36/67.30     inference(scs_inference,[],[3698,526,2,10,12,8,9,7])).
% 67.36/67.30  cnf(3723,plain,
% 67.36/67.30     (E(f6(a1,x37231),f6(a7,x37231))),
% 67.36/67.30     inference(scs_inference,[],[3698,526,2,10,12,8,9,7,11])).
% 67.36/67.30  cnf(3725,plain,
% 67.36/67.30     (E(f11(f11(a2,x37251),x37252),f11(f11(a1,x37251),x37252))),
% 67.36/67.30     inference(scs_inference,[],[3698,526,556,2,10,12,8,9,7,11,6,5])).
% 67.36/67.30  cnf(3727,plain,
% 67.36/67.30     (~E(f3(a9),f11(f11(a1,a7),f12(a7)))),
% 67.36/67.30     inference(scs_inference,[],[3698,3672,526,556,2,10,12,8,9,7,11,6,5,4,60])).
% 67.36/67.30  cnf(3728,plain,
% 67.36/67.30     (P4(f3(f12(f11(a1,a7))),f12(f11(a2,a2)))),
% 67.36/67.30     inference(scs_inference,[],[3698,3672,3607,526,556,86,2,10,12,8,9,7,11,6,5,4,60,15])).
% 67.36/67.30  cnf(3731,plain,
% 67.36/67.30     (~P2(f11(f11(a1,a1),f12(a7)),a9)),
% 67.36/67.30     inference(scs_inference,[],[3012,3698,3672,3607,3552,526,556,86,331,2,10,12,8,9,7,11,6,5,4,60,15,3,17])).
% 67.36/67.30  cnf(3755,plain,
% 67.36/67.30     (~E(f3(a9),f11(f11(a2,a2),f12(a1)))),
% 67.36/67.30     inference(scs_inference,[],[3718,3727,3705,2,10,9,12,7,11,8,6,5,4,60])).
% 67.36/67.30  cnf(3758,plain,
% 67.36/67.30     (E(f5(a1,a1),f5(a7,a7))),
% 67.36/67.30     inference(scs_inference,[],[3718,3721,3727,3705,3391,2882,2,10,9,12,7,11,8,6,5,4,60,15,3])).
% 67.36/67.30  cnf(3761,plain,
% 67.36/67.30     (~P2(f11(f11(a2,a7),f12(a7)),a9)),
% 67.36/67.30     inference(scs_inference,[],[3718,3721,3727,3705,3725,3391,2882,3672,2,10,9,12,7,11,8,6,5,4,60,15,3,17])).
% 67.36/67.30  cnf(3781,plain,
% 67.36/67.30     (~E(f3(a9),f11(f11(a1,a1),f12(a7)))),
% 67.36/67.30     inference(scs_inference,[],[3719,3755,3731,2,10,7,9,11,12,8,6,5,4,60])).
% 67.36/67.30  cnf(3786,plain,
% 67.36/67.30     (P2(f3(f11(f11(a7,a7),a7)),f11(a7,f11(a1,a1)))),
% 67.36/67.30     inference(scs_inference,[],[20,3719,3011,3722,3755,3731,3303,3151,32,86,331,2,10,7,9,11,12,8,6,5,4,60,15,3,13,17])).
% 67.36/67.30  cnf(3810,plain,
% 67.36/67.30     (~E(f3(a9),f11(f11(a2,a7),f12(a7)))),
% 67.36/67.30     inference(scs_inference,[],[3723,3781,3761,2,10,8,12,7,11,9,4,6,5,60])).
% 67.36/67.30  cnf(3819,plain,
% 67.36/67.30     (~P2(f11(f12(a7),f11(a2,a2)),a9)),
% 67.36/67.30     inference(scs_inference,[],[3723,3781,3761,3394,3634,3664,3786,3169,224,33,2,10,8,12,7,11,9,4,6,5,60,15,3,42,17])).
% 67.36/67.30  cnf(3845,plain,
% 67.36/67.30     (~E(f3(a9),f11(f12(a7),f11(a2,a2)))),
% 67.36/67.30     inference(scs_inference,[],[3720,3810,3819,2,10,8,9,11,7,12,5,4,6,60])).
% 67.36/67.30  cnf(3848,plain,
% 67.36/67.30     (P2(f3(f11(f11(a1,a1),a7)),f11(f11(a7,a2),a1))),
% 67.36/67.30     inference(scs_inference,[],[3441,3720,3810,3819,3633,3553,3677,3728,331,2,10,8,9,11,7,12,5,4,6,60,15,3,17])).
% 67.36/67.30  cnf(3887,plain,
% 67.36/67.30     (~P2(f11(f12(a2),f11(a1,x38871)),a9)),
% 67.36/67.30     inference(scs_inference,[],[3758,2225,3845,3399,3422,3232,3521,3848,3454,3617,3523,2895,33,60,2,10,12,8,7,11,9,6,5,4,14,15,3,42,17])).
% 67.36/67.30  cnf(3899,plain,
% 67.36/67.30     (~E(f3(a9),f11(f12(a2),f11(a1,x38991)))),
% 67.36/67.30     inference(scs_inference,[],[3887,60])).
% 67.36/67.30  cnf(3944,plain,
% 67.36/67.30     (E(f5(f11(a7,a2),x39441),f5(f11(a1,a1),x39441))),
% 67.36/67.30     inference(rename_variables,[],[3423])).
% 67.36/67.30  cnf(3952,plain,
% 67.36/67.30     (~E(f3(a9),f11(f12(a2),f11(x39521,a2)))),
% 67.36/67.30     inference(scs_inference,[],[2824,3899,3423,3944,3424,3331,3663,3224,2918,3722,2895,27,2,10,8,12,7,11,9,5,6,4,14,15,3,17,18,93,60])).
% 67.36/67.30  cnf(3969,plain,
% 67.36/67.30     (E(f11(f11(a2,a2),x39691),f11(f11(a1,a1),x39691))),
% 67.36/67.30     inference(scs_inference,[],[3952,588,2,10,8,11,12,9,7,5])).
% 67.36/67.30  cnf(4005,plain,
% 67.36/67.30     ($false),
% 67.36/67.30     inference(scs_inference,[],[2827,3969,67,2116,1586,1585,26,2,10,8,7,12,11,9,6,5,4,14,45]),
% 67.36/67.30     ['proof']).
% 67.36/67.30  % SZS output end Proof
% 67.36/67.30  % Total time :66.630000s
%------------------------------------------------------------------------------