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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SEU362+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 : n032.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 15:02:39 EDT 2024

% Result   : Theorem 68.04s 68.22s
% Output   : CNFRefutation 68.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem    : SEU362+1 : TPTP v8.2.0. Released v3.3.0.
% 0.00/0.07  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.07/0.26  % Computer : n032.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit   : 300
% 0.07/0.26  % WCLimit    : 300
% 0.07/0.26  % DateTime   : Fri Jun 21 11:42:08 EDT 2024
% 0.07/0.26  % CPUTime    : 
% 0.12/0.43  start to proof:theBenchmark
% 68.04/68.20  %-------------------------------------------
% 68.04/68.20  % File        :CSE---1.7
% 68.04/68.20  % Problem     :theBenchmark
% 68.04/68.20  % Transform   :cnf
% 68.04/68.20  % Format      :tptp:raw
% 68.04/68.20  % Command     :java -jar mcs_scs.jar %d %s
% 68.04/68.20  
% 68.04/68.20  % Result      :Theorem 67.650000s
% 68.04/68.20  % Output      :CNFRefutation 67.650000s
% 68.04/68.20  %-------------------------------------------
% 68.04/68.21  %------------------------------------------------------------------------------
% 68.04/68.21  % File     : SEU362+1 : TPTP v8.2.0. Released v3.3.0.
% 68.04/68.21  % Domain   : Set theory
% 68.04/68.21  % Problem  : MPTP bushy problem t60_yellow_0
% 68.04/68.21  % Version  : [Urb07] axioms : Especial.
% 68.04/68.21  % English  :
% 68.04/68.21  
% 68.04/68.21  % Refs     : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 68.04/68.21  %          : [Urb07] Urban (2006), Email to G. Sutcliffe
% 68.04/68.21  % Source   : [Urb07]
% 68.04/68.21  % Names    : bushy-t60_yellow_0 [Urb07]
% 68.04/68.21  
% 68.04/68.21  % Status   : Theorem
% 68.04/68.21  % Rating   : 0.31 v8.2.0, 0.28 v7.5.0, 0.31 v7.4.0, 0.20 v7.3.0, 0.24 v7.2.0, 0.21 v7.1.0, 0.30 v7.0.0, 0.23 v6.4.0, 0.31 v6.3.0, 0.38 v6.2.0, 0.40 v6.1.0, 0.47 v6.0.0, 0.26 v5.5.0, 0.41 v5.4.0, 0.43 v5.3.0, 0.52 v5.2.0, 0.40 v5.1.0, 0.38 v5.0.0, 0.42 v4.1.0, 0.48 v4.0.1, 0.52 v4.0.0, 0.54 v3.7.0, 0.55 v3.5.0, 0.58 v3.4.0, 0.53 v3.3.0
% 68.04/68.21  % Syntax   : Number of formulae    :   42 (  17 unt;   0 def)
% 68.04/68.21  %            Number of atoms       :   92 (   4 equ)
% 68.04/68.21  %            Maximal formula atoms :   10 (   2 avg)
% 68.04/68.21  %            Number of connectives :   61 (  11   ~;   1   |;  15   &)
% 68.04/68.21  %                                         (   4 <=>;  30  =>;   0  <=;   0 <~>)
% 68.04/68.21  %            Maximal formula depth :   16 (   4 avg)
% 68.04/68.21  %            Maximal term depth    :    3 (   1 avg)
% 68.04/68.21  %            Number of predicates  :   14 (  12 usr;   1 prp; 0-3 aty)
% 68.04/68.21  %            Number of functors    :    6 (   6 usr;   1 con; 0-2 aty)
% 68.04/68.21  %            Number of variables   :   69 (  58   !;  11   ?)
% 68.04/68.21  % SPC      : FOF_THM_RFO_SEQ
% 68.04/68.21  
% 68.04/68.21  % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 68.04/68.21  %            library, www.mizar.org
% 68.04/68.21  %------------------------------------------------------------------------------
% 68.04/68.22  fof(antisymmetry_r2_hidden,axiom,
% 68.04/68.22      ! [A,B] :
% 68.04/68.22        ( in(A,B)
% 68.04/68.22       => ~ in(B,A) ) ).
% 68.04/68.22  
% 68.04/68.22  fof(cc1_finset_1,axiom,
% 68.04/68.22      ! [A] :
% 68.04/68.22        ( empty(A)
% 68.04/68.22       => finite(A) ) ).
% 68.04/68.22  
% 68.04/68.22  fof(cc1_relset_1,axiom,
% 68.04/68.22      ! [A,B,C] :
% 68.04/68.22        ( element(C,powerset(cartesian_product2(A,B)))
% 68.04/68.22       => relation(C) ) ).
% 68.04/68.22  
% 68.04/68.22  fof(cc2_finset_1,axiom,
% 68.04/68.22      ! [A] :
% 68.04/68.22        ( finite(A)
% 68.04/68.22       => ! [B] :
% 68.04/68.22            ( element(B,powerset(A))
% 68.04/68.22           => finite(B) ) ) ).
% 68.04/68.22  
% 68.04/68.22  fof(d13_yellow_0,axiom,
% 68.04/68.22      ! [A] :
% 68.04/68.22        ( rel_str(A)
% 68.04/68.22       => ! [B] :
% 68.04/68.22            ( rel_str(B)
% 68.04/68.22           => ( subrelstr(B,A)
% 68.04/68.22            <=> ( subset(the_carrier(B),the_carrier(A))
% 68.04/68.22                & subset(the_InternalRel(B),the_InternalRel(A)) ) ) ) ) ).
% 68.04/68.22  
% 68.04/68.22  fof(d9_orders_2,axiom,
% 68.04/68.22      ! [A] :
% 68.04/68.22        ( rel_str(A)
% 68.04/68.22       => ! [B] :
% 68.04/68.22            ( element(B,the_carrier(A))
% 68.04/68.22           => ! [C] :
% 68.04/68.22                ( element(C,the_carrier(A))
% 68.04/68.22               => ( related(A,B,C)
% 68.04/68.22                <=> in(ordered_pair(B,C),the_InternalRel(A)) ) ) ) ) ).
% 68.04/68.22  
% 68.04/68.22  fof(dt_k1_xboole_0,axiom,
% 68.04/68.22      $true ).
% 68.04/68.22  
% 68.04/68.22  fof(dt_k1_zfmisc_1,axiom,
% 68.04/68.22      $true ).
% 68.04/68.22  
% 68.04/68.22  fof(dt_k2_zfmisc_1,axiom,
% 68.04/68.22      $true ).
% 68.04/68.22  
% 68.04/68.22  fof(dt_k4_tarski,axiom,
% 68.04/68.22      $true ).
% 68.04/68.22  
% 68.04/68.22  fof(dt_l1_orders_2,axiom,
% 68.04/68.22      ! [A] :
% 68.04/68.22        ( rel_str(A)
% 68.04/68.22       => one_sorted_str(A) ) ).
% 68.04/68.22  
% 68.04/68.22  fof(dt_l1_struct_0,axiom,
% 68.04/68.22      $true ).
% 68.04/68.22  
% 68.04/68.22  fof(dt_m1_relset_1,axiom,
% 68.04/68.22      $true ).
% 68.04/68.22  
% 68.04/68.22  fof(dt_m1_subset_1,axiom,
% 68.04/68.22      $true ).
% 68.04/68.22  
% 68.04/68.22  fof(dt_m1_yellow_0,axiom,
% 68.04/68.22      ! [A] :
% 68.04/68.22        ( rel_str(A)
% 68.04/68.22       => ! [B] :
% 68.04/68.22            ( subrelstr(B,A)
% 68.04/68.22           => rel_str(B) ) ) ).
% 68.04/68.22  
% 68.04/68.22  fof(dt_m2_relset_1,axiom,
% 68.04/68.22      ! [A,B,C] :
% 68.04/68.22        ( relation_of2_as_subset(C,A,B)
% 68.04/68.22       => element(C,powerset(cartesian_product2(A,B))) ) ).
% 68.04/68.22  
% 68.04/68.22  fof(dt_u1_orders_2,axiom,
% 68.04/68.22      ! [A] :
% 68.04/68.22        ( rel_str(A)
% 68.04/68.22       => relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)) ) ).
% 68.04/68.22  
% 68.04/68.22  fof(dt_u1_struct_0,axiom,
% 68.04/68.22      $true ).
% 68.04/68.22  
% 68.04/68.22  fof(existence_l1_orders_2,axiom,
% 68.04/68.22      ? [A] : rel_str(A) ).
% 68.04/68.22  
% 68.04/68.22  fof(existence_l1_struct_0,axiom,
% 68.04/68.22      ? [A] : one_sorted_str(A) ).
% 68.04/68.22  
% 68.04/68.22  fof(existence_m1_relset_1,axiom,
% 68.04/68.22      ! [A,B] :
% 68.04/68.22      ? [C] : relation_of2(C,A,B) ).
% 68.04/68.22  
% 68.04/68.22  fof(existence_m1_subset_1,axiom,
% 68.04/68.22      ! [A] :
% 68.04/68.22      ? [B] : element(B,A) ).
% 68.04/68.22  
% 68.04/68.22  fof(existence_m1_yellow_0,axiom,
% 68.04/68.22      ! [A] :
% 68.04/68.22        ( rel_str(A)
% 68.04/68.22       => ? [B] : subrelstr(B,A) ) ).
% 68.04/68.22  
% 68.04/68.22  fof(existence_m2_relset_1,axiom,
% 68.04/68.22      ! [A,B] :
% 68.04/68.22      ? [C] : relation_of2_as_subset(C,A,B) ).
% 68.04/68.22  
% 68.04/68.22  fof(fc14_finset_1,axiom,
% 68.04/68.22      ! [A,B] :
% 68.04/68.22        ( ( finite(A)
% 68.04/68.22          & finite(B) )
% 68.04/68.22       => finite(cartesian_product2(A,B)) ) ).
% 68.04/68.22  
% 68.04/68.22  fof(fc1_xboole_0,axiom,
% 68.04/68.22      empty(empty_set) ).
% 68.04/68.22  
% 68.04/68.22  fof(rc1_finset_1,axiom,
% 68.04/68.22      ? [A] :
% 68.04/68.22        ( ~ empty(A)
% 68.04/68.22        & finite(A) ) ).
% 68.04/68.22  
% 68.04/68.22  fof(rc1_xboole_0,axiom,
% 68.04/68.22      ? [A] : empty(A) ).
% 68.04/68.22  
% 68.04/68.22  fof(rc2_xboole_0,axiom,
% 68.04/68.22      ? [A] : ~ empty(A) ).
% 68.04/68.22  
% 68.04/68.22  fof(rc3_finset_1,axiom,
% 68.04/68.22      ! [A] :
% 68.04/68.22        ( ~ empty(A)
% 68.04/68.22       => ? [B] :
% 68.04/68.22            ( element(B,powerset(A))
% 68.04/68.22            & ~ empty(B)
% 68.04/68.22            & finite(B) ) ) ).
% 68.04/68.22  
% 68.04/68.22  fof(rc4_finset_1,axiom,
% 68.04/68.22      ! [A] :
% 68.04/68.22        ( ~ empty(A)
% 68.04/68.22       => ? [B] :
% 68.04/68.22            ( element(B,powerset(A))
% 68.04/68.22            & ~ empty(B)
% 68.04/68.22            & finite(B) ) ) ).
% 68.04/68.22  
% 68.04/68.22  fof(redefinition_m2_relset_1,axiom,
% 68.04/68.22      ! [A,B,C] :
% 68.04/68.22        ( relation_of2_as_subset(C,A,B)
% 68.04/68.22      <=> relation_of2(C,A,B) ) ).
% 68.04/68.22  
% 68.04/68.22  fof(reflexivity_r1_tarski,axiom,
% 68.04/68.22      ! [A,B] : subset(A,A) ).
% 68.04/68.22  
% 68.04/68.22  fof(t1_subset,axiom,
% 68.04/68.22      ! [A,B] :
% 68.04/68.22        ( in(A,B)
% 68.04/68.22       => element(A,B) ) ).
% 68.04/68.22  
% 68.04/68.22  fof(t2_subset,axiom,
% 68.04/68.22      ! [A,B] :
% 68.04/68.22        ( element(A,B)
% 68.04/68.22       => ( empty(B)
% 68.04/68.22          | in(A,B) ) ) ).
% 68.04/68.22  
% 68.04/68.22  fof(t3_subset,axiom,
% 68.04/68.22      ! [A,B] :
% 68.04/68.22        ( element(A,powerset(B))
% 68.04/68.22      <=> subset(A,B) ) ).
% 68.04/68.22  
% 68.04/68.22  fof(t4_subset,axiom,
% 68.04/68.22      ! [A,B,C] :
% 68.04/68.22        ( ( in(A,B)
% 68.04/68.22          & element(B,powerset(C)) )
% 68.04/68.22       => element(A,C) ) ).
% 68.04/68.22  
% 68.04/68.22  fof(t5_subset,axiom,
% 68.04/68.22      ! [A,B,C] :
% 68.04/68.22        ~ ( in(A,B)
% 68.04/68.22          & element(B,powerset(C))
% 68.04/68.22          & empty(C) ) ).
% 68.04/68.22  
% 68.04/68.22  fof(t60_yellow_0,conjecture,
% 68.04/68.22      ! [A] :
% 68.04/68.22        ( rel_str(A)
% 68.04/68.22       => ! [B] :
% 68.04/68.22            ( subrelstr(B,A)
% 68.04/68.22           => ! [C] :
% 68.04/68.22                ( element(C,the_carrier(A))
% 68.04/68.22               => ! [D] :
% 68.04/68.22                    ( element(D,the_carrier(A))
% 68.04/68.22                   => ! [E] :
% 68.04/68.22                        ( element(E,the_carrier(B))
% 68.04/68.22                       => ! [F] :
% 68.04/68.22                            ( element(F,the_carrier(B))
% 68.04/68.22                           => ( ( E = C
% 68.04/68.22                                & F = D
% 68.04/68.22                                & related(B,E,F) )
% 68.04/68.22                             => related(A,C,D) ) ) ) ) ) ) ) ).
% 68.04/68.22  
% 68.04/68.22  fof(t6_boole,axiom,
% 68.04/68.22      ! [A] :
% 68.04/68.22        ( empty(A)
% 68.04/68.22       => A = empty_set ) ).
% 68.04/68.22  
% 68.04/68.22  fof(t7_boole,axiom,
% 68.04/68.22      ! [A,B] :
% 68.04/68.22        ~ ( in(A,B)
% 68.04/68.22          & empty(B) ) ).
% 68.04/68.22  
% 68.04/68.22  fof(t8_boole,axiom,
% 68.04/68.22      ! [A,B] :
% 68.04/68.22        ~ ( empty(A)
% 68.04/68.22          & A != B
% 68.04/68.22          & empty(B) ) ).
% 68.04/68.22  
% 68.04/68.22  %------------------------------------------------------------------------------
% 68.04/68.22  %-------------------------------------------
% 68.04/68.22  % Proof found
% 68.04/68.22  % SZS status Theorem for theBenchmark
% 68.04/68.22  % SZS output start Proof
% 68.11/68.22  %ClaNum:93(EqnAxiom:40)
% 68.11/68.22  %VarNum:154(SingletonVarNum:67)
% 68.11/68.22  %MaxLitNum:5
% 68.11/68.22  %MaxfuncDepth:2
% 68.11/68.22  %SharedTerms:31
% 68.11/68.22  %goalClause: 41 42 47 49 51 52 53 54 56 61
% 68.11/68.22  %singleGoalClaCount:10
% 68.11/68.22  [41]E(a1,a2)
% 68.11/68.22  [42]E(a9,a10)
% 68.11/68.22  [43]P1(a3)
% 68.11/68.22  [44]P1(a11)
% 68.11/68.23  [45]P3(a12)
% 68.11/68.23  [46]P4(a13)
% 68.11/68.23  [47]P4(a5)
% 68.11/68.23  [48]P5(a14)
% 68.11/68.23  [49]P7(a8,a5)
% 68.11/68.23  [56]P8(a8,a1,a10)
% 68.11/68.23  [59]~P1(a12)
% 68.11/68.23  [60]~P1(a20)
% 68.11/68.23  [61]~P8(a5,a2,a9)
% 68.11/68.23  [51]P2(a2,f19(a5))
% 68.11/68.23  [52]P2(a9,f19(a5))
% 68.11/68.23  [53]P2(a1,f19(a8))
% 68.11/68.23  [54]P2(a10,f19(a8))
% 68.11/68.23  [50]P12(x501,x501)
% 68.11/68.23  [55]P2(f15(x551),x551)
% 68.11/68.23  [57]P9(f17(x571,x572),x571,x572)
% 68.11/68.23  [58]P10(f16(x581,x582),x581,x582)
% 68.11/68.23  [62]~P1(x621)+E(x621,a3)
% 68.11/68.23  [63]~P1(x631)+P3(x631)
% 68.11/68.23  [64]~P4(x641)+P5(x641)
% 68.11/68.23  [65]P1(x651)+P3(f6(x651))
% 68.11/68.23  [66]P1(x661)+P3(f7(x661))
% 68.11/68.23  [68]P1(x681)+~P1(f6(x681))
% 68.11/68.23  [69]P1(x691)+~P1(f7(x691))
% 68.11/68.23  [70]~P4(x701)+P7(f18(x701),x701)
% 68.11/68.23  [72]P1(x721)+P2(f6(x721),f21(x721))
% 68.11/68.23  [73]P1(x731)+P2(f7(x731),f21(x731))
% 68.11/68.23  [86]~P4(x861)+P9(f23(x861),f19(x861),f19(x861))
% 68.11/68.23  [71]~P1(x711)+~P6(x712,x711)
% 68.11/68.23  [75]~P6(x751,x752)+P2(x751,x752)
% 68.11/68.23  [80]~P6(x802,x801)+~P6(x801,x802)
% 68.11/68.23  [77]~P12(x771,x772)+P2(x771,f21(x772))
% 68.11/68.23  [81]P12(x811,x812)+~P2(x811,f21(x812))
% 68.11/68.23  [89]~P10(x891,x892,x893)+P9(x891,x892,x893)
% 68.11/68.23  [90]~P9(x901,x902,x903)+P10(x901,x902,x903)
% 68.11/68.23  [88]P11(x881)+~P2(x881,f21(f4(x882,x883)))
% 68.11/68.23  [91]~P9(x911,x912,x913)+P2(x911,f21(f4(x912,x913)))
% 68.11/68.23  [67]~P1(x672)+~P1(x671)+E(x671,x672)
% 68.11/68.23  [74]~P7(x741,x742)+P4(x741)+~P4(x742)
% 68.11/68.23  [76]~P2(x762,x761)+P1(x761)+P6(x762,x761)
% 68.11/68.23  [78]P3(x781)+~P3(x782)+~P2(x781,f21(x782))
% 68.11/68.23  [79]~P3(x792)+~P3(x791)+P3(f4(x791,x792))
% 68.11/68.23  [82]~P1(x821)+~P6(x822,x823)+~P2(x823,f21(x821))
% 68.11/68.23  [85]P2(x851,x852)+~P6(x851,x853)+~P2(x853,f21(x852))
% 68.11/68.23  [83]~P4(x832)+~P4(x831)+~P7(x831,x832)+P12(f19(x831),f19(x832))
% 68.11/68.23  [84]~P4(x842)+~P4(x841)+~P7(x841,x842)+P12(f23(x841),f23(x842))
% 68.11/68.23  [87]~P4(x872)+~P4(x871)+P7(x871,x872)+~P12(f19(x871),f19(x872))+~P12(f23(x871),f23(x872))
% 68.11/68.23  [92]~P4(x921)+P8(x921,x922,x923)+~P2(x923,f19(x921))+~P2(x922,f19(x921))+~P6(f22(x922,x923),f23(x921))
% 68.11/68.23  [93]~P4(x933)+~P8(x933,x931,x932)+~P2(x932,f19(x933))+~P2(x931,f19(x933))+P6(f22(x931,x932),f23(x933))
% 68.11/68.23  %EqnAxiom
% 68.11/68.23  [1]E(x11,x11)
% 68.11/68.23  [2]E(x22,x21)+~E(x21,x22)
% 68.11/68.23  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 68.11/68.23  [4]~E(x41,x42)+E(f19(x41),f19(x42))
% 68.11/68.23  [5]~E(x51,x52)+E(f23(x51),f23(x52))
% 68.11/68.23  [6]~E(x61,x62)+E(f22(x61,x63),f22(x62,x63))
% 68.11/68.23  [7]~E(x71,x72)+E(f22(x73,x71),f22(x73,x72))
% 68.11/68.23  [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 68.11/68.23  [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 68.11/68.23  [10]~E(x101,x102)+E(f15(x101),f15(x102))
% 68.11/68.23  [11]~E(x111,x112)+E(f17(x111,x113),f17(x112,x113))
% 68.11/68.23  [12]~E(x121,x122)+E(f17(x123,x121),f17(x123,x122))
% 68.11/68.23  [13]~E(x131,x132)+E(f16(x131,x133),f16(x132,x133))
% 68.11/68.23  [14]~E(x141,x142)+E(f16(x143,x141),f16(x143,x142))
% 68.11/68.23  [15]~E(x151,x152)+E(f6(x151),f6(x152))
% 68.11/68.23  [16]~E(x161,x162)+E(f7(x161),f7(x162))
% 68.11/68.23  [17]~E(x171,x172)+E(f21(x171),f21(x172))
% 68.11/68.23  [18]~E(x181,x182)+E(f18(x181),f18(x182))
% 68.11/68.23  [19]~P1(x191)+P1(x192)+~E(x191,x192)
% 68.11/68.23  [20]P2(x202,x203)+~E(x201,x202)+~P2(x201,x203)
% 68.11/68.23  [21]P2(x213,x212)+~E(x211,x212)+~P2(x213,x211)
% 68.11/68.23  [22]~P3(x221)+P3(x222)+~E(x221,x222)
% 68.11/68.23  [23]~P4(x231)+P4(x232)+~E(x231,x232)
% 68.11/68.23  [24]P12(x242,x243)+~E(x241,x242)+~P12(x241,x243)
% 68.11/68.23  [25]P12(x253,x252)+~E(x251,x252)+~P12(x253,x251)
% 68.11/68.23  [26]~P5(x261)+P5(x262)+~E(x261,x262)
% 68.11/68.23  [27]P7(x272,x273)+~E(x271,x272)+~P7(x271,x273)
% 68.11/68.23  [28]P7(x283,x282)+~E(x281,x282)+~P7(x283,x281)
% 68.11/68.23  [29]P9(x292,x293,x294)+~E(x291,x292)+~P9(x291,x293,x294)
% 68.11/68.23  [30]P9(x303,x302,x304)+~E(x301,x302)+~P9(x303,x301,x304)
% 68.11/68.23  [31]P9(x313,x314,x312)+~E(x311,x312)+~P9(x313,x314,x311)
% 68.11/68.23  [32]P6(x322,x323)+~E(x321,x322)+~P6(x321,x323)
% 68.11/68.23  [33]P6(x333,x332)+~E(x331,x332)+~P6(x333,x331)
% 68.11/68.23  [34]P10(x342,x343,x344)+~E(x341,x342)+~P10(x341,x343,x344)
% 68.11/68.23  [35]P10(x353,x352,x354)+~E(x351,x352)+~P10(x353,x351,x354)
% 68.11/68.23  [36]P10(x363,x364,x362)+~E(x361,x362)+~P10(x363,x364,x361)
% 68.11/68.23  [37]P8(x372,x373,x374)+~E(x371,x372)+~P8(x371,x373,x374)
% 68.11/68.23  [38]P8(x383,x382,x384)+~E(x381,x382)+~P8(x383,x381,x384)
% 68.11/68.23  [39]P8(x393,x394,x392)+~E(x391,x392)+~P8(x393,x394,x391)
% 68.11/68.23  [40]~P11(x401)+P11(x402)+~E(x401,x402)
% 68.11/68.23  
% 68.11/68.23  %-------------------------------------------
% 68.11/68.24  cnf(94,plain,
% 68.11/68.24     (E(a2,a1)),
% 68.11/68.24     inference(scs_inference,[],[41,2])).
% 68.11/68.24  cnf(95,plain,
% 68.11/68.24     (~P6(x951,a3)),
% 68.11/68.24     inference(scs_inference,[],[41,43,2,71])).
% 68.11/68.24  cnf(97,plain,
% 68.11/68.24     (P12(f15(f21(x971)),x971)),
% 68.11/68.24     inference(scs_inference,[],[41,55,43,2,71,81])).
% 68.11/68.24  cnf(98,plain,
% 68.11/68.24     (P2(f15(x981),x981)),
% 68.11/68.24     inference(rename_variables,[],[55])).
% 68.11/68.24  cnf(100,plain,
% 68.11/68.24     (P2(a1,f19(a5))),
% 68.11/68.24     inference(scs_inference,[],[41,51,55,43,2,71,81,20])).
% 68.11/68.24  cnf(102,plain,
% 68.11/68.24     (P2(f15(x1021),x1021)),
% 68.11/68.24     inference(rename_variables,[],[55])).
% 68.11/68.24  cnf(103,plain,
% 68.11/68.24     (P12(a2,a1)),
% 68.11/68.24     inference(scs_inference,[],[41,51,50,55,98,43,2,71,81,20,21,24])).
% 68.11/68.24  cnf(104,plain,
% 68.11/68.24     (P12(x1041,x1041)),
% 68.11/68.24     inference(rename_variables,[],[50])).
% 68.11/68.24  cnf(105,plain,
% 68.11/68.24     (P12(a1,a2)),
% 68.11/68.24     inference(scs_inference,[],[41,51,50,104,55,98,43,2,71,81,20,21,24,25])).
% 68.11/68.24  cnf(107,plain,
% 68.11/68.24     (P9(f17(a1,x1071),a2,x1071)),
% 68.11/68.25     inference(scs_inference,[],[41,51,50,104,57,55,98,43,2,71,81,20,21,24,25,30])).
% 68.11/68.25  cnf(108,plain,
% 68.11/68.25     (P9(f17(x1081,x1082),x1081,x1082)),
% 68.11/68.25     inference(rename_variables,[],[57])).
% 68.11/68.25  cnf(109,plain,
% 68.11/68.25     (P9(f17(x1091,a1),x1091,a2)),
% 68.11/68.25     inference(scs_inference,[],[41,51,50,104,57,108,55,98,43,2,71,81,20,21,24,25,30,31])).
% 68.11/68.25  cnf(111,plain,
% 68.11/68.25     (P10(f16(a1,x1111),a2,x1111)),
% 68.11/68.25     inference(scs_inference,[],[41,51,50,104,57,108,58,55,98,43,2,71,81,20,21,24,25,30,31,35])).
% 68.11/68.25  cnf(112,plain,
% 68.11/68.25     (P10(f16(x1121,x1122),x1121,x1122)),
% 68.11/68.25     inference(rename_variables,[],[58])).
% 68.11/68.25  cnf(113,plain,
% 68.11/68.25     (P6(f15(a12),a12)),
% 68.11/68.25     inference(scs_inference,[],[41,51,50,104,57,108,58,55,98,102,43,59,2,71,81,20,21,24,25,30,31,35,76])).
% 68.11/68.25  cnf(114,plain,
% 68.11/68.25     (P2(f15(x1141),x1141)),
% 68.11/68.25     inference(rename_variables,[],[55])).
% 68.11/68.25  cnf(117,plain,
% 68.11/68.25     (P2(f15(x1171),x1171)),
% 68.11/68.25     inference(rename_variables,[],[55])).
% 68.11/68.25  cnf(119,plain,
% 68.11/68.25     (~P6(x1191,f15(f21(a3)))),
% 68.11/68.25     inference(scs_inference,[],[41,51,50,104,57,108,58,55,98,102,114,117,43,45,59,2,71,81,20,21,24,25,30,31,35,76,78,82])).
% 68.11/68.25  cnf(122,plain,
% 68.11/68.25     (P10(f16(x1221,a1),x1221,a2)),
% 68.11/68.25     inference(scs_inference,[],[41,51,50,104,57,108,58,112,55,98,102,114,117,43,45,59,2,71,81,20,21,24,25,30,31,35,76,78,82,36])).
% 68.11/68.25  cnf(132,plain,
% 68.11/68.25     (~P6(x1321,a11)),
% 68.11/68.25     inference(scs_inference,[],[44,71])).
% 68.11/68.25  cnf(134,plain,
% 68.14/68.25     (E(a10,a9)),
% 68.14/68.25     inference(scs_inference,[],[42,44,71,2])).
% 68.14/68.25  cnf(135,plain,
% 68.14/68.25     (P8(a8,a1,a9)),
% 68.14/68.25     inference(scs_inference,[],[42,56,44,71,2,39])).
% 68.14/68.25  cnf(136,plain,
% 68.14/68.25     (~P6(x1361,f15(f21(a11)))),
% 68.14/68.25     inference(scs_inference,[],[42,56,44,55,71,2,39,82])).
% 68.14/68.25  cnf(137,plain,
% 68.14/68.25     (P2(f15(x1371),x1371)),
% 68.14/68.25     inference(rename_variables,[],[55])).
% 68.14/68.25  cnf(143,plain,
% 68.14/68.25     (P6(f15(a20),a20)),
% 68.14/68.25     inference(scs_inference,[],[41,42,56,119,122,113,44,60,55,137,71,2,39,82,33,35,76])).
% 68.14/68.25  cnf(146,plain,
% 68.14/68.25     (P2(a10,f19(a5))),
% 68.14/68.25     inference(scs_inference,[],[41,52,42,56,119,122,113,44,60,55,137,71,2,39,82,33,35,76,20])).
% 68.14/68.25  cnf(149,plain,
% 68.14/68.25     (P12(f15(f21(a1)),a2)),
% 68.14/68.25     inference(scs_inference,[],[41,52,42,56,109,97,119,122,113,44,60,55,137,71,2,39,82,33,35,76,20,30,25])).
% 68.14/68.25  cnf(151,plain,
% 68.14/68.25     (P8(a8,a2,a9)),
% 68.14/68.25     inference(scs_inference,[],[41,52,42,56,109,97,119,122,113,44,60,55,137,71,2,39,82,33,35,76,20,30,25,38])).
% 68.14/68.25  cnf(154,plain,
% 68.14/68.25     (P9(x1541,a2,x1542)+~E(f17(a1,x1542),x1541)),
% 68.14/68.25     inference(scs_inference,[],[41,52,42,56,107,109,97,119,122,113,44,60,55,137,71,2,39,82,33,35,76,20,30,25,38,80,29])).
% 68.14/68.25  cnf(165,plain,
% 68.14/68.25     (P2(a2,f19(a8))),
% 68.14/68.25     inference(scs_inference,[],[41,53,136,143,33,20])).
% 68.14/68.25  cnf(173,plain,
% 68.14/68.25     (P2(a9,f19(a8))),
% 68.14/68.25     inference(scs_inference,[],[134,54,20])).
% 68.14/68.25  cnf(174,plain,
% 68.14/68.25     (~E(a20,a3)),
% 68.14/68.25     inference(scs_inference,[],[134,54,143,95,20,33])).
% 68.14/68.25  cnf(197,plain,
% 68.14/68.25     (P10(x1971,a2,x1972)+~E(f16(a1,x1972),x1971)),
% 68.14/68.25     inference(scs_inference,[],[49,111,143,113,119,33,27,32,34])).
% 68.14/68.25  cnf(208,plain,
% 68.14/68.25     (P9(x2081,x2082,a2)+~E(f17(x2082,a1),x2081)),
% 68.14/68.25     inference(scs_inference,[],[109,113,136,33,29])).
% 68.14/68.25  cnf(216,plain,
% 68.14/68.25     (~E(a12,a3)),
% 68.14/68.25     inference(scs_inference,[],[113,95,33])).
% 68.14/68.25  cnf(228,plain,
% 68.14/68.25     (P10(x2281,x2282,a2)+~E(f16(x2282,a1),x2281)),
% 68.14/68.25     inference(scs_inference,[],[41,58,143,132,33,34,36])).
% 68.14/68.25  cnf(332,plain,
% 68.14/68.25     (P12(x3321,x3322)+~E(f15(f21(x3322)),x3321)),
% 68.14/68.25     inference(scs_inference,[],[94,135,97,40,37,24])).
% 68.14/68.25  cnf(422,plain,
% 68.14/68.25     (~P8(a5,a9,a9)+~E(f23(a5),a3)),
% 68.14/68.25     inference(scs_inference,[],[52,47,95,93,80,33])).
% 68.14/68.25  cnf(432,plain,
% 68.14/68.25     (~P8(a5,a2,a2)+P6(f22(a2,a2),f23(a5))),
% 68.14/68.25     inference(scs_inference,[],[51,47,93])).
% 68.14/68.25  cnf(434,plain,
% 68.14/68.25     (~P6(f23(a5),f22(a2,a2))+~P8(a5,a2,a2)),
% 68.14/68.25     inference(scs_inference,[],[51,47,93,80])).
% 68.14/68.25  cnf(436,plain,
% 68.14/68.25     (~P8(a5,a2,a2)+~E(f23(a5),a11)),
% 68.14/68.25     inference(scs_inference,[],[51,47,132,93,80,33])).
% 68.14/68.25  cnf(537,plain,
% 68.14/68.25     (P9(f17(a1,a9),a2,a10)),
% 68.14/68.25     inference(scs_inference,[],[42,107,31])).
% 68.14/68.25  cnf(539,plain,
% 68.14/68.25     (P9(f17(a9,a1),a10,a2)),
% 68.14/68.25     inference(scs_inference,[],[42,107,109,31,30])).
% 68.14/68.25  cnf(541,plain,
% 68.14/68.25     (P10(f16(a9,x5411),a10,x5411)),
% 68.14/68.25     inference(scs_inference,[],[42,107,109,58,31,30,35])).
% 68.14/68.25  cnf(547,plain,
% 68.14/68.25     (P12(a10,a9)),
% 68.14/68.25     inference(scs_inference,[],[42,107,109,111,55,58,50,31,30,35,36,21,24])).
% 68.14/68.25  cnf(548,plain,
% 68.14/68.25     (P12(x5481,x5481)),
% 68.14/68.25     inference(rename_variables,[],[50])).
% 68.14/68.25  cnf(549,plain,
% 68.14/68.25     (P12(a9,a10)),
% 68.14/68.25     inference(scs_inference,[],[42,107,109,111,55,58,50,548,31,30,35,36,21,24,25])).
% 68.14/68.25  cnf(552,plain,
% 68.14/68.25     (P10(x5521,a10,x5522)+~E(f16(a9,x5522),x5521)),
% 68.14/68.25     inference(scs_inference,[],[42,107,109,111,55,58,50,548,31,30,35,36,21,24,25,20,34])).
% 68.14/68.25  cnf(563,plain,
% 68.14/68.25     (P10(f16(a9,a9),a10,a10)),
% 68.14/68.25     inference(scs_inference,[],[42,94,537,541,539,122,30,31,35,36])).
% 68.14/68.25  cnf(565,plain,
% 68.14/68.25     (P12(f15(f21(a9)),a10)),
% 68.14/68.25     inference(scs_inference,[],[42,94,537,541,539,122,97,30,31,35,36,25])).
% 68.14/68.25  cnf(575,plain,
% 68.14/68.25     (P9(f17(x5751,a9),x5751,a10)),
% 68.14/68.25     inference(scs_inference,[],[42,57,31])).
% 68.14/68.25  cnf(576,plain,
% 68.14/68.25     (P9(f17(x5761,x5762),x5761,x5762)),
% 68.14/68.25     inference(rename_variables,[],[57])).
% 68.14/68.25  cnf(577,plain,
% 68.14/68.25     (P9(f17(a9,x5771),a10,x5771)),
% 68.14/68.25     inference(scs_inference,[],[42,57,576,31,30])).
% 68.14/68.25  cnf(580,plain,
% 68.14/68.25     (P10(f16(x5801,a9),x5801,a10)),
% 68.14/68.25     inference(scs_inference,[],[42,134,57,576,58,563,31,30,35,36])).
% 68.14/68.25  cnf(588,plain,
% 68.14/68.25     (P9(f17(a9,a9),a10,a10)),
% 68.14/68.25     inference(scs_inference,[],[42,575,30])).
% 68.14/68.25  cnf(589,plain,
% 68.14/68.25     (P9(f17(x5891,a9),x5891,a10)),
% 68.14/68.25     inference(rename_variables,[],[575])).
% 68.14/68.25  cnf(590,plain,
% 68.14/68.25     (P9(x5901,x5902,a10)+~E(f17(x5902,a9),x5901)),
% 68.14/68.25     inference(scs_inference,[],[42,575,589,30,29])).
% 68.14/68.25  cnf(591,plain,
% 68.14/68.25     (P10(x5911,x5912,a10)+~E(f16(x5912,a9),x5911)),
% 68.14/68.25     inference(scs_inference,[],[42,575,589,580,30,29,34])).
% 68.14/68.25  cnf(596,plain,
% 68.14/68.25     (P9(x5961,a10,x5962)+~E(f17(a9,x5962),x5961)),
% 68.14/68.25     inference(scs_inference,[],[577,29])).
% 68.14/68.25  cnf(972,plain,
% 68.14/68.25     (P3(f7(a20))),
% 68.14/68.25     inference(scs_inference,[],[174,62,66])).
% 68.14/68.25  cnf(2058,plain,
% 68.14/68.25     (~P6(a20,f21(a11))),
% 68.14/68.25     inference(scs_inference,[],[44,143,75,82])).
% 68.14/68.25  cnf(2917,plain,
% 68.14/68.25     (E(f19(a2),f19(a1))),
% 68.14/68.25     inference(scs_inference,[],[41,4,2])).
% 68.14/68.25  cnf(2918,plain,
% 68.14/68.25     (E(f19(a1),f19(a2))),
% 68.14/68.25     inference(scs_inference,[],[2917,2])).
% 68.14/68.25  cnf(3113,plain,
% 68.14/68.25     (P12(f19(a1),f19(a2))),
% 68.14/68.25     inference(scs_inference,[],[2918,109,111,55,50,30,21,36,25])).
% 68.14/68.25  cnf(3114,plain,
% 68.14/68.25     (P12(x31141,x31141)),
% 68.14/68.25     inference(rename_variables,[],[50])).
% 68.14/68.25  cnf(3115,plain,
% 68.14/68.25     (P12(f19(a2),f19(a1))),
% 68.14/68.25     inference(scs_inference,[],[2918,109,111,55,50,3114,30,21,36,25,24])).
% 68.14/68.25  cnf(3117,plain,
% 68.14/68.25     (P9(f17(a9,f19(a1)),a10,f19(a2))),
% 68.14/68.25     inference(scs_inference,[],[2918,109,111,577,55,50,3114,30,21,36,25,24,31])).
% 68.14/68.25  cnf(3119,plain,
% 68.14/68.25     (P10(f16(f19(a1),x31191),f19(a2),x31191)),
% 68.14/68.25     inference(scs_inference,[],[2918,109,111,577,58,55,50,3114,30,21,36,25,24,31,35])).
% 68.14/68.25  cnf(3138,plain,
% 68.14/68.25     (P10(x31381,f19(a2),x31382)+~E(f16(f19(a1),x31382),x31381)),
% 68.14/68.25     inference(scs_inference,[],[2918,541,575,107,3119,3117,122,30,36,31,35,29,34])).
% 68.14/68.25  cnf(3156,plain,
% 68.14/68.25     (P10(f16(x31561,f19(a1)),x31561,f19(a2))),
% 68.14/68.25     inference(scs_inference,[],[2918,134,3117,58,30,36])).
% 68.14/68.25  cnf(3165,plain,
% 68.14/68.25     (P9(f17(f19(a1),x31651),f19(a2),x31651)),
% 68.14/68.25     inference(scs_inference,[],[2918,57,30])).
% 68.14/68.25  cnf(3166,plain,
% 68.14/68.25     (P9(f17(x31661,x31662),x31661,x31662)),
% 68.14/68.25     inference(rename_variables,[],[57])).
% 68.14/68.25  cnf(3167,plain,
% 68.14/68.25     (P9(f17(x31671,f19(a1)),x31671,f19(a2))),
% 68.14/68.25     inference(scs_inference,[],[2918,57,3166,30,31])).
% 68.14/68.25  cnf(3177,plain,
% 68.14/68.25     (P9(x31771,f19(a2),x31772)+~E(f17(f19(a1),x31772),x31771)),
% 68.14/68.25     inference(scs_inference,[],[2918,3165,3167,30,29])).
% 68.14/68.25  cnf(3189,plain,
% 68.14/68.25     (P9(x31891,x31892,f19(a2))+~E(f17(x31892,f19(a1)),x31891)),
% 68.14/68.25     inference(scs_inference,[],[3167,29])).
% 68.14/68.25  cnf(3195,plain,
% 68.14/68.25     (P10(x31951,x31952,f19(a2))+~E(f16(x31952,f19(a1)),x31951)),
% 68.14/68.25     inference(scs_inference,[],[3156,34])).
% 68.14/68.25  cnf(3308,plain,
% 68.14/68.25     (P9(f17(a2,a9),a1,a10)),
% 68.14/68.25     inference(scs_inference,[],[94,575,30])).
% 68.14/68.25  cnf(3318,plain,
% 68.14/68.25     (P12(f15(f21(a2)),a1)),
% 68.14/68.25     inference(scs_inference,[],[94,541,577,575,580,55,97,30,35,21,31,36,25])).
% 68.14/68.25  cnf(3334,plain,
% 68.14/68.25     (P9(f17(a1,a2),a2,a1)),
% 68.14/68.25     inference(scs_inference,[],[94,107,109,3156,30,35,31])).
% 68.14/68.25  cnf(3344,plain,
% 68.14/68.25     (P9(f17(a2,f19(a1)),a1,f19(a2))),
% 68.14/68.25     inference(scs_inference,[],[94,3167,30])).
% 68.14/68.25  cnf(3350,plain,
% 68.14/68.25     (P9(f17(f19(a1),a2),f19(a2),a1)),
% 68.14/68.25     inference(scs_inference,[],[94,111,3165,3167,122,30,35,36,31])).
% 68.14/68.25  cnf(3360,plain,
% 68.14/68.25     (P10(f16(a2,x33601),a1,x33601)),
% 68.14/68.25     inference(scs_inference,[],[94,134,3308,3334,58,30,31,35])).
% 68.14/68.25  cnf(3361,plain,
% 68.14/68.25     (P10(f16(x33611,x33612),x33611,x33612)),
% 68.14/68.25     inference(rename_variables,[],[58])).
% 68.14/68.25  cnf(3362,plain,
% 68.14/68.25     (P10(f16(x33621,a2),x33621,a1)),
% 68.14/68.25     inference(scs_inference,[],[94,134,3308,3334,58,3361,30,31,35,36])).
% 68.14/68.25  cnf(3374,plain,
% 68.14/68.25     (P10(f16(a2,x33741),a1,x33741)),
% 68.14/68.25     inference(rename_variables,[],[3360])).
% 68.14/68.25  cnf(3375,plain,
% 68.14/68.25     (P10(x33751,a1,x33752)+~E(f16(a2,x33752),x33751)),
% 68.14/68.25     inference(scs_inference,[],[94,2917,3344,3350,3360,3374,30,31,36,34])).
% 68.14/68.25  cnf(3390,plain,
% 68.14/68.25     (P9(f17(a2,x33901),a1,x33901)),
% 68.14/68.25     inference(scs_inference,[],[94,57,30])).
% 68.14/68.25  cnf(3391,plain,
% 68.14/68.25     (P9(f17(x33911,x33912),x33911,x33912)),
% 68.14/68.25     inference(rename_variables,[],[57])).
% 68.14/68.25  cnf(3392,plain,
% 68.14/68.25     (P9(f17(x33921,a2),x33921,a1)),
% 68.14/68.25     inference(scs_inference,[],[94,57,3391,30,31])).
% 68.14/68.25  cnf(3400,plain,
% 68.14/68.25     (P9(f17(a2,a2),a1,a1)),
% 68.14/68.25     inference(scs_inference,[],[94,3392,30])).
% 68.14/68.25  cnf(3402,plain,
% 68.14/68.25     (P10(x34021,x34022,a1)+~E(f16(x34022,a2),x34021)),
% 68.14/68.25     inference(scs_inference,[],[94,3392,3362,30,34])).
% 68.14/68.25  cnf(3409,plain,
% 68.14/68.25     (P9(x34091,a1,x34092)+~E(f17(a2,x34092),x34091)),
% 68.14/68.25     inference(scs_inference,[],[3390,29])).
% 68.14/68.25  cnf(3422,plain,
% 68.14/68.25     (P9(x34221,x34222,a1)+~E(f17(x34222,a2),x34221)),
% 68.14/68.25     inference(scs_inference,[],[3392,29])).
% 68.14/68.25  cnf(3738,plain,
% 68.14/68.25     (E(f23(a2),f23(a1))),
% 68.14/68.25     inference(scs_inference,[],[41,5,2])).
% 68.14/68.25  cnf(3739,plain,
% 68.14/68.25     (E(f23(a1),f23(a2))),
% 68.14/68.25     inference(scs_inference,[],[3738,2])).
% 68.14/68.25  cnf(3782,plain,
% 68.14/68.25     (P12(f23(a2),f23(a1))),
% 68.14/68.25     inference(scs_inference,[],[3739,50,24])).
% 68.14/68.25  cnf(3783,plain,
% 68.14/68.25     (P12(x37831,x37831)),
% 68.14/68.25     inference(rename_variables,[],[50])).
% 68.14/68.25  cnf(3786,plain,
% 68.14/68.25     (P10(f16(f19(a1),f23(a1)),f19(a2),f23(a2))),
% 68.14/68.25     inference(scs_inference,[],[3739,3119,107,50,24,31,36])).
% 68.14/68.25  cnf(3790,plain,
% 68.14/68.25     (P12(f23(a1),f23(a2))),
% 68.14/68.25     inference(scs_inference,[],[3739,3119,107,55,50,3783,24,31,36,21,25])).
% 68.14/68.25  cnf(3824,plain,
% 68.14/68.25     (P10(f16(f23(a1),x38241),f23(a2),x38241)),
% 68.14/68.25     inference(scs_inference,[],[3739,3360,3390,58,31,36,35])).
% 68.14/68.25  cnf(3841,plain,
% 68.14/68.25     (P9(f17(f23(a1),a9),f23(a2),a10)),
% 68.14/68.25     inference(scs_inference,[],[3739,541,577,575,3362,31,36,35,30])).
% 68.14/68.25  cnf(3843,plain,
% 68.14/68.25     (P10(x38431,f23(a2),x38432)+~E(f16(f23(a1),x38432),x38431)),
% 68.14/68.25     inference(scs_inference,[],[3739,541,577,575,3824,3362,31,36,35,30,34])).
% 68.14/68.25  cnf(3863,plain,
% 68.14/68.25     (P10(f16(x38631,f23(a1)),x38631,f23(a2))),
% 68.14/68.25     inference(scs_inference,[],[3739,134,3841,58,31,36])).
% 68.14/68.25  cnf(3888,plain,
% 68.14/68.25     (P9(f17(x38881,f23(a1)),x38881,f23(a2))),
% 68.14/68.25     inference(scs_inference,[],[3739,57,31])).
% 68.14/68.25  cnf(3889,plain,
% 68.14/68.25     (P9(f17(x38891,x38892),x38891,x38892)),
% 68.14/68.25     inference(rename_variables,[],[57])).
% 68.14/68.25  cnf(3890,plain,
% 68.14/68.25     (P9(f17(f23(a1),x38901),f23(a2),x38901)),
% 68.14/68.25     inference(scs_inference,[],[3739,57,3889,31,30])).
% 68.14/68.25  cnf(3899,plain,
% 68.14/68.25     (P9(f17(f23(a1),f23(a1)),f23(a2),f23(a2))),
% 68.14/68.25     inference(scs_inference,[],[3739,3890,31])).
% 68.14/68.25  cnf(3907,plain,
% 68.14/68.25     (P10(x39071,x39072,f23(a2))+~E(f16(x39072,f23(a1)),x39071)),
% 68.14/68.25     inference(scs_inference,[],[3863,34])).
% 68.14/68.25  cnf(3908,plain,
% 68.14/68.25     (P9(x39081,x39082,f23(a2))+~E(f17(x39082,f23(a1)),x39081)),
% 68.14/68.25     inference(scs_inference,[],[3888,3863,34,29])).
% 68.14/68.25  cnf(3928,plain,
% 68.14/68.25     (P9(x39281,f23(a2),x39282)+~E(f17(f23(a1),x39282),x39281)),
% 68.14/68.25     inference(scs_inference,[],[3890,29])).
% 68.14/68.25  cnf(4502,plain,
% 68.14/68.25     (E(f15(f23(a2)),f15(f23(a1)))),
% 68.14/68.25     inference(scs_inference,[],[3739,10,2])).
% 68.14/68.25  cnf(4503,plain,
% 68.14/68.25     (E(f15(f23(a1)),f15(f23(a2)))),
% 68.14/68.25     inference(scs_inference,[],[4502,2])).
% 68.14/68.25  cnf(4569,plain,
% 68.14/68.25     (P1(f15(f21(a3)))),
% 68.14/68.25     inference(scs_inference,[],[55,119,76])).
% 68.14/68.25  cnf(4574,plain,
% 68.14/68.25     (P1(f15(f21(a11)))),
% 68.14/68.25     inference(scs_inference,[],[55,136,76])).
% 68.14/68.25  cnf(4643,plain,
% 68.14/68.25     (~P6(a20,x46431)+~E(x46431,f21(a11))),
% 68.14/68.25     inference(scs_inference,[],[2058,33])).
% 68.14/68.25  cnf(4668,plain,
% 68.14/68.25     (P5(a13)),
% 68.14/68.25     inference(scs_inference,[],[46,64])).
% 68.14/68.25  cnf(4703,plain,
% 68.14/68.25     (~E(x47031,a3)+~E(a20,x47031)),
% 68.14/68.25     inference(scs_inference,[],[174,3])).
% 68.14/68.25  cnf(4707,plain,
% 68.14/68.25     (~E(x47071,a3)+~E(a12,x47071)),
% 68.14/68.25     inference(scs_inference,[],[216,3])).
% 68.14/68.25  cnf(5232,plain,
% 68.14/68.25     (P3(f6(a20))),
% 68.14/68.25     inference(scs_inference,[],[60,65])).
% 68.14/68.25  cnf(5234,plain,
% 68.14/68.25     (P3(f7(a12))),
% 68.14/68.25     inference(scs_inference,[],[60,59,65,66])).
% 68.14/68.25  cnf(5236,plain,
% 68.14/68.25     (~P1(f6(a20))),
% 68.14/68.25     inference(scs_inference,[],[60,59,65,66,68])).
% 68.14/68.25  cnf(5238,plain,
% 68.14/68.25     (~P1(f7(a20))),
% 68.14/68.25     inference(scs_inference,[],[60,59,65,66,68,69])).
% 68.14/68.25  cnf(5240,plain,
% 68.14/68.25     (P7(f18(a13),a13)),
% 68.14/68.25     inference(scs_inference,[],[46,60,59,65,66,68,69,70])).
% 68.14/68.25  cnf(5250,plain,
% 68.14/68.25     (P2(f7(a20),f21(a20))),
% 68.14/68.25     inference(scs_inference,[],[547,3899,3786,46,60,59,65,66,68,69,70,77,89,90,72,73])).
% 68.14/68.25  cnf(5254,plain,
% 68.14/68.25     (E(f15(a1),f15(a2))),
% 68.14/68.25     inference(scs_inference,[],[41,547,3899,3786,46,60,59,3738,65,66,68,69,70,77,89,90,72,73,4,5,10])).
% 68.14/68.25  cnf(5255,plain,
% 68.14/68.25     (E(f6(a1),f6(a2))),
% 68.14/68.25     inference(scs_inference,[],[41,547,3899,3786,46,60,59,3738,65,66,68,69,70,77,89,90,72,73,4,5,10,15])).
% 68.14/68.25  cnf(5256,plain,
% 68.14/68.25     (E(f7(a1),f7(a2))),
% 68.14/68.25     inference(scs_inference,[],[41,547,3899,3786,46,60,59,3738,65,66,68,69,70,77,89,90,72,73,4,5,10,15,16])).
% 68.14/68.25  cnf(5258,plain,
% 68.14/68.25     (E(f18(a1),f18(a2))),
% 68.14/68.25     inference(scs_inference,[],[41,547,3899,3786,46,60,59,3738,65,66,68,69,70,77,89,90,72,73,4,5,10,15,16,17,18])).
% 68.14/68.25  cnf(5259,plain,
% 68.14/68.25     (P9(f23(a13),f19(a13),f19(a13))),
% 68.14/68.25     inference(scs_inference,[],[41,547,3899,3786,46,60,59,3738,65,66,68,69,70,77,89,90,72,73,4,5,10,15,16,17,18,86])).
% 68.14/68.25  cnf(5264,plain,
% 68.14/68.25     (E(f22(x52641,a1),f22(x52641,a2))),
% 68.14/68.25     inference(scs_inference,[],[41,547,3899,3786,588,46,60,59,3738,65,66,68,69,70,77,89,90,72,73,4,5,10,15,16,17,18,86,91,6,7])).
% 68.14/68.25  cnf(5265,plain,
% 68.14/68.25     (E(f4(a1,x52651),f4(a2,x52651))),
% 68.14/68.25     inference(scs_inference,[],[41,547,3899,3786,588,46,60,59,3738,65,66,68,69,70,77,89,90,72,73,4,5,10,15,16,17,18,86,91,6,7,8])).
% 68.14/68.25  cnf(5266,plain,
% 68.14/68.25     (E(f4(x52661,a1),f4(x52661,a2))),
% 68.14/68.25     inference(scs_inference,[],[41,547,3899,3786,588,46,60,59,3738,65,66,68,69,70,77,89,90,72,73,4,5,10,15,16,17,18,86,91,6,7,8,9])).
% 68.14/68.25  cnf(5267,plain,
% 68.14/68.25     (E(f17(a1,x52671),f17(a2,x52671))),
% 68.14/68.25     inference(scs_inference,[],[41,547,3899,3786,588,46,60,59,3738,65,66,68,69,70,77,89,90,72,73,4,5,10,15,16,17,18,86,91,6,7,8,9,11])).
% 68.14/68.25  cnf(5268,plain,
% 68.14/68.25     (E(f17(x52681,a1),f17(x52681,a2))),
% 68.14/68.25     inference(scs_inference,[],[41,547,3899,3786,588,46,60,59,3738,65,66,68,69,70,77,89,90,72,73,4,5,10,15,16,17,18,86,91,6,7,8,9,11,12])).
% 68.14/68.25  cnf(5269,plain,
% 68.14/68.25     (E(f16(a1,x52691),f16(a2,x52691))),
% 68.14/68.25     inference(scs_inference,[],[41,547,3899,3786,588,46,60,59,3738,65,66,68,69,70,77,89,90,72,73,4,5,10,15,16,17,18,86,91,6,7,8,9,11,12,13])).
% 68.14/68.25  cnf(5270,plain,
% 68.14/68.25     (E(f16(x52701,a1),f16(x52701,a2))),
% 68.14/68.25     inference(scs_inference,[],[41,547,3899,3786,588,46,60,59,3738,65,66,68,69,70,77,89,90,72,73,4,5,10,15,16,17,18,86,91,6,7,8,9,11,12,13,14])).
% 68.14/68.25  cnf(5271,plain,
% 68.14/68.25     (E(f15(f21(a3)),a3)),
% 68.14/68.25     inference(scs_inference,[],[41,547,3899,3786,588,46,4569,60,59,3738,65,66,68,69,70,77,89,90,72,73,4,5,10,15,16,17,18,86,91,6,7,8,9,11,12,13,14,62])).
% 68.14/68.26  cnf(5278,plain,
% 68.14/68.26     (P6(f15(f6(a20)),f6(a20))),
% 68.14/68.26     inference(scs_inference,[],[41,972,547,3899,3786,588,46,4569,60,59,3738,55,65,66,68,69,70,77,89,90,72,73,4,5,10,15,16,17,18,86,91,6,7,8,9,11,12,13,14,62,2,63,79,76])).
% 68.14/68.26  cnf(5279,plain,
% 68.14/68.26     (P2(f15(x52791),x52791)),
% 68.14/68.26     inference(rename_variables,[],[55])).
% 68.14/68.26  cnf(5283,plain,
% 68.14/68.26     (P3(a3)),
% 68.14/68.26     inference(scs_inference,[],[41,972,547,3899,3786,588,46,4569,95,60,59,3738,55,65,66,68,69,70,77,89,90,72,73,4,5,10,15,16,17,18,86,91,6,7,8,9,11,12,13,14,62,2,63,79,76,33,22])).
% 68.14/68.26  cnf(5284,plain,
% 68.14/68.26     (E(f22(a1,a1),f22(a2,a2))),
% 68.14/68.26     inference(scs_inference,[],[41,972,547,3899,3786,588,46,4569,95,60,59,3738,55,65,66,68,69,70,77,89,90,72,73,4,5,10,15,16,17,18,86,91,6,7,8,9,11,12,13,14,62,2,63,79,76,33,22,3])).
% 68.14/68.26  cnf(5285,plain,
% 68.14/68.26     (~P8(a5,a2,a10)),
% 68.14/68.26     inference(scs_inference,[],[41,972,547,3899,3786,588,61,46,4569,95,60,59,3738,134,55,65,66,68,69,70,77,89,90,72,73,4,5,10,15,16,17,18,86,91,6,7,8,9,11,12,13,14,62,2,63,79,76,33,22,3,39])).
% 68.14/68.26  cnf(5286,plain,
% 68.14/68.26     (~P8(a5,a1,a9)),
% 68.14/68.26     inference(scs_inference,[],[41,972,547,3899,3786,588,61,46,4569,95,60,59,3738,134,55,65,66,68,69,70,77,89,90,72,73,4,5,10,15,16,17,18,86,91,6,7,8,9,11,12,13,14,62,2,63,79,76,33,22,3,39,38])).
% 68.14/68.26  cnf(5292,plain,
% 68.14/68.26     (P2(f15(f6(a20)),a20)),
% 68.14/68.26     inference(scs_inference,[],[41,972,547,3899,3786,588,61,46,4569,95,60,59,51,3738,52,134,55,47,65,66,68,69,70,77,89,90,72,73,4,5,10,15,16,17,18,86,91,6,7,8,9,11,12,13,14,62,2,63,79,76,33,22,3,39,38,92,80,34,85])).
% 68.14/68.26  cnf(5294,plain,
% 68.14/68.26     (P10(f16(f23(a2),f23(a1)),f23(a1),f23(a2))),
% 68.14/68.26     inference(scs_inference,[],[41,972,547,3899,3786,588,3863,61,46,4569,95,60,59,51,3738,52,134,55,47,65,66,68,69,70,77,89,90,72,73,4,5,10,15,16,17,18,86,91,6,7,8,9,11,12,13,14,62,2,63,79,76,33,22,3,39,38,92,80,34,85,35])).
% 68.14/68.26  cnf(5296,plain,
% 68.14/68.26     (P4(a8)),
% 68.14/68.26     inference(scs_inference,[],[41,972,547,3899,3786,588,3863,61,46,4569,95,60,59,51,3738,52,134,49,55,47,65,66,68,69,70,77,89,90,72,73,4,5,10,15,16,17,18,86,91,6,7,8,9,11,12,13,14,62,2,63,79,76,33,22,3,39,38,92,80,34,85,35,74])).
% 68.14/68.26  cnf(5300,plain,
% 68.14/68.26     (P2(f15(x53001),x53001)),
% 68.14/68.26     inference(rename_variables,[],[55])).
% 68.14/68.26  cnf(5303,plain,
% 68.14/68.26     (P2(a3,f21(a3))),
% 68.14/68.26     inference(scs_inference,[],[41,972,547,3899,3786,588,3863,61,46,4569,95,60,59,4503,51,3738,52,134,49,55,5279,5300,50,47,65,66,68,69,70,77,89,90,72,73,4,5,10,15,16,17,18,86,91,6,7,8,9,11,12,13,14,62,2,63,79,76,33,22,3,39,38,92,80,34,85,35,74,19,21,24,20])).
% 68.14/68.26  cnf(5305,plain,
% 68.14/68.26     (~P2(a12,f21(a3))),
% 68.14/68.26     inference(scs_inference,[],[41,972,547,3899,3786,588,3863,61,46,4569,95,60,59,4503,113,51,3738,43,52,134,49,55,5279,5300,50,47,65,66,68,69,70,77,89,90,72,73,4,5,10,15,16,17,18,86,91,6,7,8,9,11,12,13,14,62,2,63,79,76,33,22,3,39,38,92,80,34,85,35,74,19,21,24,20,82])).
% 68.14/68.26  cnf(5309,plain,
% 68.14/68.26     (P10(f16(f23(a1),f15(a1)),f23(a2),f15(a2))),
% 68.14/68.26     inference(scs_inference,[],[41,972,547,3899,3786,588,3863,61,46,4569,3890,3824,95,60,59,4503,113,51,3738,43,52,134,49,55,5279,5300,50,47,65,66,68,69,70,77,89,90,72,73,4,5,10,15,16,17,18,86,91,6,7,8,9,11,12,13,14,62,2,63,79,76,33,22,3,39,38,92,80,34,85,35,74,19,21,24,20,82,31,36])).
% 68.14/68.26  cnf(5319,plain,
% 68.14/68.26     (~P1(f6(f6(a20)))),
% 68.14/68.26     inference(scs_inference,[],[5236,68])).
% 68.14/68.26  cnf(5325,plain,
% 68.14/68.26     (P2(f17(a2,a2),f21(f4(a1,a1)))),
% 68.14/68.26     inference(scs_inference,[],[5296,5236,5294,3400,68,89,70,91])).
% 68.14/68.26  cnf(5329,plain,
% 68.14/68.26     (E(f15(f21(a11)),a3)),
% 68.14/68.26     inference(scs_inference,[],[5296,5236,5294,3400,4574,59,68,89,70,91,73,62])).
% 68.14/68.26  cnf(5337,plain,
% 68.14/68.26     (E(f16(a10,x53371),f16(a9,x53371))),
% 68.14/68.26     inference(scs_inference,[],[5296,5236,5259,5294,3400,4574,59,134,68,89,70,91,73,62,66,90,69,13])).
% 68.14/68.26  cnf(5339,plain,
% 68.14/68.26     (E(f22(a10,x53391),f22(a9,x53391))),
% 68.14/68.26     inference(scs_inference,[],[5296,5236,5259,5294,3400,4574,59,134,68,89,70,91,73,62,66,90,69,13,10,6])).
% 68.14/68.26  cnf(5340,plain,
% 68.14/68.26     (E(f22(x53401,a10),f22(x53401,a9))),
% 68.14/68.26     inference(scs_inference,[],[5296,5236,5259,5294,3400,4574,59,134,68,89,70,91,73,62,66,90,69,13,10,6,7])).
% 68.14/68.26  cnf(5342,plain,
% 68.14/68.26     (E(f17(a10,x53421),f17(a9,x53421))),
% 68.14/68.26     inference(scs_inference,[],[5296,5236,5259,5294,3400,4574,59,134,68,89,70,91,73,62,66,90,69,13,10,6,7,5,11])).
% 68.14/68.26  cnf(5345,plain,
% 68.14/68.26     (P2(f6(a12),f21(a12))),
% 68.14/68.26     inference(scs_inference,[],[5296,5236,5259,5294,549,3400,4574,59,134,68,89,70,91,73,62,66,90,69,13,10,6,7,5,11,77,72])).
% 68.14/68.26  cnf(5348,plain,
% 68.14/68.26     (P9(f23(a8),f19(a8),f19(a8))),
% 68.14/68.26     inference(scs_inference,[],[5296,5236,5259,5294,549,3400,4574,59,134,68,89,70,91,73,62,66,90,69,13,10,6,7,5,11,77,72,17,86])).
% 68.14/68.26  cnf(5352,plain,
% 68.14/68.26     (E(f4(a10,x53521),f4(a9,x53521))),
% 68.14/68.26     inference(scs_inference,[],[5296,5236,5259,5294,549,3400,4574,59,134,68,89,70,91,73,62,66,90,69,13,10,6,7,5,11,77,72,17,86,65,8])).
% 68.14/68.26  cnf(5353,plain,
% 68.14/68.26     (E(f4(x53531,a10),f4(x53531,a9))),
% 68.14/68.26     inference(scs_inference,[],[5296,5236,5259,5294,549,3400,4574,59,134,68,89,70,91,73,62,66,90,69,13,10,6,7,5,11,77,72,17,86,65,8,9])).
% 68.14/68.26  cnf(5355,plain,
% 68.14/68.26     (E(f16(x53551,a10),f16(x53551,a9))),
% 68.14/68.26     inference(scs_inference,[],[5296,5236,5259,5294,549,3400,4574,59,134,68,89,70,91,73,62,66,90,69,13,10,6,7,5,11,77,72,17,86,65,8,9,15,14])).
% 68.14/68.26  cnf(5356,plain,
% 68.14/68.26     (E(f17(x53561,a10),f17(x53561,a9))),
% 68.14/68.26     inference(scs_inference,[],[5296,5236,5259,5294,549,3400,4574,59,134,68,89,70,91,73,62,66,90,69,13,10,6,7,5,11,77,72,17,86,65,8,9,15,14,12])).
% 68.14/68.26  cnf(5362,plain,
% 68.14/68.26     (E(f22(a2,a2),f22(a1,a1))),
% 68.14/68.26     inference(scs_inference,[],[5296,5284,5236,5259,5294,549,3400,4574,59,134,68,89,70,91,73,62,66,90,69,13,10,6,7,5,11,77,72,17,86,65,8,9,15,14,12,18,16,4,63,2])).
% 68.14/68.26  cnf(5365,plain,
% 68.14/68.26     (P3(f4(a3,a3))),
% 68.14/68.26     inference(scs_inference,[],[5283,5296,5284,5236,5259,5294,5292,549,3400,4574,59,60,134,68,89,70,91,73,62,66,90,69,13,10,6,7,5,11,77,72,17,86,65,8,9,15,14,12,18,16,4,63,2,76,79])).
% 68.14/68.26  cnf(5367,plain,
% 68.14/68.26     (P4(f18(a8))),
% 68.14/68.26     inference(scs_inference,[],[5283,5296,5284,5236,5259,5294,5292,549,3400,4574,59,60,134,68,89,70,91,73,62,66,90,69,13,10,6,7,5,11,77,72,17,86,65,8,9,15,14,12,18,16,4,63,2,76,79,74])).
% 68.14/68.26  cnf(5369,plain,
% 68.14/68.26     (E(f4(a1,a1),f4(a2,a2))),
% 68.14/68.26     inference(scs_inference,[],[5283,5296,5284,5265,5266,5236,5259,5294,5292,549,3400,4574,59,60,134,68,89,70,91,73,62,66,90,69,13,10,6,7,5,11,77,72,17,86,65,8,9,15,14,12,18,16,4,63,2,76,79,74,3])).
% 68.14/68.26  cnf(5373,plain,
% 68.14/68.26     (~P8(a5,a1,a10)),
% 68.14/68.26     inference(scs_inference,[],[5283,5286,5296,5284,5265,5266,5236,5259,5294,5292,549,3400,4574,59,60,134,68,89,70,91,73,62,66,90,69,13,10,6,7,5,11,77,72,17,86,65,8,9,15,14,12,18,16,4,63,2,76,79,74,3,19,39])).
% 68.14/68.26  cnf(5374,plain,
% 68.14/68.26     (P12(f19(a8),f19(a5))),
% 68.14/68.26     inference(scs_inference,[],[5283,5286,5296,5284,5265,5266,5236,5259,5294,5292,549,3400,4574,59,60,134,49,47,68,89,70,91,73,62,66,90,69,13,10,6,7,5,11,77,72,17,86,65,8,9,15,14,12,18,16,4,63,2,76,79,74,3,19,39,83])).
% 68.14/68.26  cnf(5376,plain,
% 68.14/68.26     (P12(f23(a8),f23(a5))),
% 68.14/68.26     inference(scs_inference,[],[5283,5286,5296,5284,5265,5266,5236,5259,5294,5292,549,3400,4574,59,60,134,49,47,68,89,70,91,73,62,66,90,69,13,10,6,7,5,11,77,72,17,86,65,8,9,15,14,12,18,16,4,63,2,76,79,74,3,19,39,83,84])).
% 68.14/68.26  cnf(5378,plain,
% 68.14/68.26     (P6(f22(a2,a9),f23(a8))),
% 68.14/68.26     inference(scs_inference,[],[5283,5286,5296,5284,5265,5266,5236,5259,5294,5292,549,151,3400,173,165,4574,59,60,134,49,47,68,89,70,91,73,62,66,90,69,13,10,6,7,5,11,77,72,17,86,65,8,9,15,14,12,18,16,4,63,2,76,79,74,3,19,39,83,84,93])).
% 68.14/68.26  cnf(5380,plain,
% 68.14/68.26     (P12(a3,a11)),
% 68.14/68.26     inference(scs_inference,[],[5283,5286,5296,5284,5265,5266,5236,5259,5294,5292,549,151,3400,173,165,4574,59,60,134,49,47,68,89,70,91,73,62,66,90,69,13,10,6,7,5,11,77,72,17,86,65,8,9,15,14,12,18,16,4,63,2,76,79,74,3,19,39,83,84,93,332])).
% 68.14/68.26  cnf(5383,plain,
% 68.14/68.26     (~P1(f23(a8))),
% 68.14/68.26     inference(scs_inference,[],[5283,5286,5296,5284,5265,5266,5236,5259,5294,5292,549,151,3400,173,165,4574,59,60,134,49,47,68,89,70,91,73,62,66,90,69,13,10,6,7,5,11,77,72,17,86,65,8,9,15,14,12,18,16,4,63,2,76,79,74,3,19,39,83,84,93,332,75,71])).
% 68.14/68.26  cnf(5395,plain,
% 68.14/68.26     (P7(f18(f18(a8)),f18(a8))),
% 68.14/68.26     inference(scs_inference,[],[5367,70])).
% 68.14/68.26  cnf(5409,plain,
% 68.14/68.26     (E(a11,a3)),
% 68.14/68.26     inference(scs_inference,[],[5238,5348,5367,5309,3308,44,70,66,89,91,68,90,65,62])).
% 68.14/68.26  cnf(5411,plain,
% 68.14/68.26     (P2(a3,f21(a11))),
% 68.14/68.26     inference(scs_inference,[],[5380,5238,5348,5367,5309,3308,44,70,66,89,91,68,90,65,62,77])).
% 68.14/68.26  cnf(5413,plain,
% 68.14/68.26     (P9(f23(a5),f19(a5),f19(a5))),
% 68.14/68.26     inference(scs_inference,[],[5380,5238,5348,5367,5309,3308,44,47,70,66,89,91,68,90,65,62,77,86])).
% 68.14/68.26  cnf(5415,plain,
% 68.14/68.26     (E(f22(x54151,a9),f22(x54151,a10))),
% 68.14/68.26     inference(scs_inference,[],[5380,5238,5348,5367,5309,3308,44,42,47,70,66,89,91,68,90,65,62,77,86,7])).
% 68.14/68.26  cnf(5419,plain,
% 68.14/68.26     (E(f16(a9,x54191),f16(a10,x54191))),
% 68.14/68.26     inference(scs_inference,[],[5380,5238,5348,5367,5309,3308,44,42,47,70,66,89,91,68,90,65,62,77,86,7,6,69,13])).
% 68.14/68.26  cnf(5420,plain,
% 68.14/68.26     (E(f4(a9,x54201),f4(a10,x54201))),
% 68.14/68.26     inference(scs_inference,[],[5380,5238,5348,5367,5309,3308,44,42,47,70,66,89,91,68,90,65,62,77,86,7,6,69,13,8])).
% 68.14/68.26  cnf(5423,plain,
% 68.14/68.26     (E(f16(x54231,a9),f16(x54231,a10))),
% 68.14/68.26     inference(scs_inference,[],[5380,5238,5348,5367,5309,3308,44,42,47,70,66,89,91,68,90,65,62,77,86,7,6,69,13,8,5,18,14])).
% 68.14/68.26  cnf(5426,plain,
% 68.14/68.26     (E(f17(a9,x54261),f17(a10,x54261))),
% 68.14/68.26     inference(scs_inference,[],[5380,5238,5348,5367,5309,3308,44,42,47,70,66,89,91,68,90,65,62,77,86,7,6,69,13,8,5,18,14,4,10,11])).
% 68.14/68.26  cnf(5427,plain,
% 68.14/68.26     (E(f4(x54271,a9),f4(x54271,a10))),
% 68.14/68.26     inference(scs_inference,[],[5380,5238,5348,5367,5309,3308,44,42,47,70,66,89,91,68,90,65,62,77,86,7,6,69,13,8,5,18,14,4,10,11,9])).
% 68.14/68.26  cnf(5429,plain,
% 68.14/68.26     (P3(a11)),
% 68.14/68.26     inference(scs_inference,[],[5380,5238,5348,5367,5309,3308,44,42,47,70,66,89,91,68,90,65,62,77,86,7,6,69,13,8,5,18,14,4,10,11,9,15,63])).
% 68.14/68.26  cnf(5432,plain,
% 68.14/68.26     (E(f17(x54321,a9),f17(x54321,a10))),
% 68.14/68.26     inference(scs_inference,[],[5380,5238,5348,5367,5309,3308,44,42,47,70,66,89,91,68,90,65,62,77,86,7,6,69,13,8,5,18,14,4,10,11,9,15,63,17,12])).
% 68.14/68.26  cnf(5439,plain,
% 68.14/68.26     (P6(f15(f7(a20)),f7(a20))),
% 68.14/68.26     inference(scs_inference,[],[5380,5254,5378,5232,5238,5348,5367,5309,3308,44,42,55,47,70,66,89,91,68,90,65,62,77,86,7,6,69,13,8,5,18,14,4,10,11,9,15,63,17,12,16,2,80,79,76])).
% 68.14/68.26  cnf(5444,plain,
% 68.14/68.26     (P4(f18(a13))),
% 68.14/68.26     inference(scs_inference,[],[5380,5254,5340,5378,5232,5238,5348,5367,5240,5309,3308,46,44,42,55,47,70,66,89,91,68,90,65,62,77,86,7,6,69,13,8,5,18,14,4,10,11,9,15,63,17,12,16,2,80,79,76,33,74])).
% 68.14/68.26  cnf(5446,plain,
% 68.14/68.26     (P6(f22(a2,a10),f23(a8))),
% 68.14/68.26     inference(scs_inference,[],[5380,5254,5340,5378,5232,5238,5348,5367,5240,5309,3308,46,44,42,55,47,70,66,89,91,68,90,65,62,77,86,7,6,69,13,8,5,18,14,4,10,11,9,15,63,17,12,16,2,80,79,76,33,74,32])).
% 68.14/68.26  cnf(5454,plain,
% 68.14/68.26     (P6(f22(a1,a9),f23(a8))),
% 68.14/68.26     inference(scs_inference,[],[5380,5362,5254,5264,5340,5378,5232,5238,5348,5367,5240,5309,135,3308,173,46,4569,5296,44,42,55,53,47,70,66,89,91,68,90,65,62,77,86,7,6,69,13,8,5,18,14,4,10,11,9,15,63,17,12,16,2,80,79,76,33,74,32,3,19,83,84,93])).
% 68.14/68.26  cnf(5458,plain,
% 68.14/68.26     (P10(f16(a9,a10),a10,a9)),
% 68.14/68.26     inference(scs_inference,[],[5373,5380,5362,5254,5264,5340,5378,5232,5238,5348,5367,5240,5309,135,3308,173,146,46,4569,5296,44,100,42,55,53,47,70,66,89,91,68,90,65,62,77,86,7,6,69,13,8,5,18,14,4,10,11,9,15,63,17,12,16,2,80,79,76,33,74,32,3,19,83,84,93,92,552])).
% 68.14/68.26  cnf(5459,plain,
% 68.14/68.26     (P9(f17(a10,a9),a9,a10)),
% 68.14/68.26     inference(scs_inference,[],[5373,5380,5362,5254,5264,5340,5378,5232,5238,5348,5367,5240,5309,135,3308,173,146,46,4569,5296,44,100,42,55,53,47,70,66,89,91,68,90,65,62,77,86,7,6,69,13,8,5,18,14,4,10,11,9,15,63,17,12,16,2,80,79,76,33,74,32,3,19,83,84,93,92,552,590])).
% 68.14/68.26  cnf(5460,plain,
% 68.14/68.26     (P10(f16(a10,a9),a9,a10)),
% 68.14/68.26     inference(scs_inference,[],[5373,5380,5362,5254,5264,5340,5378,5232,5238,5348,5367,5240,5309,135,3308,173,146,46,4569,5296,44,100,42,55,53,47,70,66,89,91,68,90,65,62,77,86,7,6,69,13,8,5,18,14,4,10,11,9,15,63,17,12,16,2,80,79,76,33,74,32,3,19,83,84,93,92,552,590,591])).
% 68.14/68.26  cnf(5461,plain,
% 68.14/68.26     (P9(f17(a9,a10),a10,a9)),
% 68.14/68.26     inference(scs_inference,[],[5373,5380,5362,5254,5264,5340,5378,5232,5238,5348,5367,5240,5309,135,3308,173,146,46,4569,5296,44,100,42,55,53,47,70,66,89,91,68,90,65,62,77,86,7,6,69,13,8,5,18,14,4,10,11,9,15,63,17,12,16,2,80,79,76,33,74,32,3,19,83,84,93,92,552,590,591,596])).
% 68.14/68.26  cnf(5467,plain,
% 68.14/68.26     (P10(f16(a2,a10),a1,a9)),
% 68.14/68.26     inference(scs_inference,[],[5423,3375])).
% 68.14/68.26  cnf(5468,plain,
% 68.14/68.26     (E(f16(x54681,a9),f16(x54681,a10))),
% 68.14/68.26     inference(rename_variables,[],[5423])).
% 68.14/68.26  cnf(5469,plain,
% 68.14/68.26     (P10(f16(a10,a2),a9,a1)),
% 68.14/68.26     inference(scs_inference,[],[5419,5423,3375,3402])).
% 68.14/68.26  cnf(5470,plain,
% 68.14/68.26     (E(f16(a9,x54701),f16(a10,x54701))),
% 68.14/68.26     inference(rename_variables,[],[5419])).
% 68.14/68.26  cnf(5472,plain,
% 68.14/68.26     (E(f17(x54721,a9),f17(x54721,a10))),
% 68.14/68.26     inference(rename_variables,[],[5432])).
% 68.14/68.26  cnf(5473,plain,
% 68.14/68.26     (P9(f17(a10,a2),a9,a1)),
% 68.14/68.26     inference(scs_inference,[],[5419,5423,5426,5432,3375,3402,3409,3422])).
% 68.14/68.26  cnf(5474,plain,
% 68.14/68.26     (E(f17(a9,x54741),f17(a10,x54741))),
% 68.14/68.26     inference(rename_variables,[],[5426])).
% 68.14/68.26  cnf(5476,plain,
% 68.14/68.26     (E(f16(x54761,a9),f16(x54761,a10))),
% 68.14/68.26     inference(rename_variables,[],[5423])).
% 68.14/68.26  cnf(5478,plain,
% 68.14/68.26     (E(f17(x54781,a9),f17(x54781,a10))),
% 68.14/68.26     inference(rename_variables,[],[5432])).
% 68.14/68.26  cnf(5480,plain,
% 68.14/68.26     (E(f17(a9,x54801),f17(a10,x54801))),
% 68.14/68.26     inference(rename_variables,[],[5426])).
% 68.14/68.26  cnf(5482,plain,
% 68.14/68.26     (E(f16(a9,x54821),f16(a10,x54821))),
% 68.14/68.26     inference(rename_variables,[],[5419])).
% 68.14/68.26  cnf(5484,plain,
% 68.14/68.26     (E(f16(x54841,a9),f16(x54841,a10))),
% 68.14/68.26     inference(rename_variables,[],[5423])).
% 68.14/68.26  cnf(5486,plain,
% 68.14/68.26     (E(f16(a9,x54861),f16(a10,x54861))),
% 68.14/68.26     inference(rename_variables,[],[5419])).
% 68.14/68.26  cnf(5488,plain,
% 68.14/68.26     (E(f17(a9,x54881),f17(a10,x54881))),
% 68.14/68.26     inference(rename_variables,[],[5426])).
% 68.14/68.26  cnf(5490,plain,
% 68.14/68.26     (E(f17(x54901,a9),f17(x54901,a10))),
% 68.14/68.26     inference(rename_variables,[],[5432])).
% 68.14/68.26  cnf(5491,plain,
% 68.14/68.26     (P9(f17(a1,a10),a2,a9)),
% 68.14/68.26     inference(scs_inference,[],[5419,5470,5482,5423,5468,5476,5426,5474,5480,5432,5472,5478,5490,3375,3402,3409,3422,3138,3177,3189,3195,3843,3907,3908,3928,154])).
% 68.14/68.26  cnf(5493,plain,
% 68.14/68.26     (P10(f16(a1,a10),a2,a9)),
% 68.14/68.26     inference(scs_inference,[],[5419,5470,5482,5423,5468,5476,5484,5426,5474,5480,5432,5472,5478,5490,3375,3402,3409,3422,3138,3177,3189,3195,3843,3907,3908,3928,154,197])).
% 68.14/68.26  cnf(5495,plain,
% 68.14/68.26     (P9(f17(a10,a1),a9,a2)),
% 68.14/68.26     inference(scs_inference,[],[5419,5470,5482,5423,5468,5476,5484,5426,5474,5480,5488,5432,5472,5478,5490,3375,3402,3409,3422,3138,3177,3189,3195,3843,3907,3908,3928,154,197,208])).
% 68.14/68.26  cnf(5497,plain,
% 68.14/68.26     (P10(f16(a10,a1),a9,a2)),
% 68.14/68.26     inference(scs_inference,[],[5419,5470,5482,5486,5423,5468,5476,5484,5426,5474,5480,5488,5432,5472,5478,5490,3375,3402,3409,3422,3138,3177,3189,3195,3843,3907,3908,3928,154,197,208,228])).
% 68.14/68.26  cnf(5513,plain,
% 68.14/68.26     (~P1(f7(f23(a8)))),
% 68.14/68.26     inference(scs_inference,[],[5419,5470,5482,5486,5423,5468,5476,5484,5426,5474,5480,5488,5432,5472,5478,5490,5454,5383,5444,5458,5459,3375,3402,3409,3422,3138,3177,3189,3195,3843,3907,3908,3928,154,197,208,228,89,75,66,68,70,65,91,69])).
% 68.14/68.26  cnf(5517,plain,
% 68.14/68.26     (E(f22(a11,x55171),f22(a3,x55171))),
% 68.14/68.26     inference(scs_inference,[],[5409,5419,5470,5482,5486,5423,5468,5476,5484,5426,5474,5480,5488,5432,5472,5478,5490,5454,5383,5413,5444,5458,5459,3375,3402,3409,3422,3138,3177,3189,3195,3843,3907,3908,3928,154,197,208,228,89,75,66,68,70,65,91,69,90,6])).
% 68.14/68.26  cnf(5520,plain,
% 68.14/68.26     (E(f16(a11,x55201),f16(a3,x55201))),
% 68.14/68.26     inference(scs_inference,[],[5409,5419,5470,5482,5486,5423,5468,5476,5484,5426,5474,5480,5488,5432,5472,5478,5490,5454,5374,5383,5413,5444,5458,5459,3375,3402,3409,3422,3138,3177,3189,3195,3843,3907,3908,3928,154,197,208,228,89,75,66,68,70,65,91,69,90,6,77,13])).
% 68.14/68.26  cnf(5524,plain,
% 68.14/68.26     (E(f17(a11,x55241),f17(a3,x55241))),
% 68.14/68.26     inference(scs_inference,[],[5409,5419,5470,5482,5486,5423,5468,5476,5484,5426,5474,5480,5488,5432,5472,5478,5490,5454,5374,5383,5413,5444,5458,5459,3375,3402,3409,3422,3138,3177,3189,3195,3843,3907,3908,3928,154,197,208,228,89,75,66,68,70,65,91,69,90,6,77,13,10,7,5,11])).
% 68.14/68.26  cnf(5526,plain,
% 68.14/68.26     (E(f4(a11,x55261),f4(a3,x55261))),
% 68.14/68.26     inference(scs_inference,[],[5409,5419,5470,5482,5486,5423,5468,5476,5484,5426,5474,5480,5488,5432,5472,5478,5490,5454,5374,5383,5413,5444,5458,5459,3375,3402,3409,3422,3138,3177,3189,3195,3843,3907,3908,3928,154,197,208,228,89,75,66,68,70,65,91,69,90,6,77,13,10,7,5,11,4,8])).
% 68.14/68.26  cnf(5527,plain,
% 68.14/68.26     (E(f17(x55271,a11),f17(x55271,a3))),
% 68.14/68.26     inference(scs_inference,[],[5409,5419,5470,5482,5486,5423,5468,5476,5484,5426,5474,5480,5488,5432,5472,5478,5490,5454,5374,5383,5413,5444,5458,5459,3375,3402,3409,3422,3138,3177,3189,3195,3843,3907,3908,3928,154,197,208,228,89,75,66,68,70,65,91,69,90,6,77,13,10,7,5,11,4,8,12])).
% 68.14/68.26  cnf(5529,plain,
% 68.14/68.26     (E(f4(x55291,a11),f4(x55291,a3))),
% 68.14/68.26     inference(scs_inference,[],[5409,5419,5470,5482,5486,5423,5468,5476,5484,5426,5474,5480,5488,5432,5472,5478,5490,5454,5374,5383,5413,5444,5458,5459,3375,3402,3409,3422,3138,3177,3189,3195,3843,3907,3908,3928,154,197,208,228,89,75,66,68,70,65,91,69,90,6,77,13,10,7,5,11,4,8,12,18,9])).
% 68.14/68.26  cnf(5531,plain,
% 68.14/68.26     (E(f16(x55311,a11),f16(x55311,a3))),
% 68.14/68.26     inference(scs_inference,[],[5409,5419,5470,5482,5486,5423,5468,5476,5484,5426,5474,5480,5488,5432,5472,5478,5490,5454,5374,5383,5413,5444,5458,5459,3375,3402,3409,3422,3138,3177,3189,3195,3843,3907,3908,3928,154,197,208,228,89,75,66,68,70,65,91,69,90,6,77,13,10,7,5,11,4,8,12,18,9,15,14])).
% 68.14/68.26  cnf(5532,plain,
% 68.14/68.26     (E(a3,a11)),
% 68.14/68.26     inference(scs_inference,[],[5409,5419,5470,5482,5486,5423,5468,5476,5484,5426,5474,5480,5488,5432,5472,5478,5490,5454,5374,5383,5413,5444,5458,5459,3375,3402,3409,3422,3138,3177,3189,3195,3843,3907,3908,3928,154,197,208,228,89,75,66,68,70,65,91,69,90,6,77,13,10,7,5,11,4,8,12,18,9,15,14,2])).
% 68.14/68.26  cnf(5533,plain,
% 68.14/68.26     (E(f21(a11),f21(a3))),
% 68.14/68.26     inference(scs_inference,[],[5409,5419,5470,5482,5486,5423,5468,5476,5484,5426,5474,5480,5488,5432,5472,5478,5490,5454,5374,5383,5413,5444,5458,5459,3375,3402,3409,3422,3138,3177,3189,3195,3843,3907,3908,3928,154,197,208,228,89,75,66,68,70,65,91,69,90,6,77,13,10,7,5,11,4,8,12,18,9,15,14,2,17])).
% 68.14/68.26  cnf(5537,plain,
% 68.14/68.26     (P3(f4(a11,a11))),
% 68.14/68.26     inference(scs_inference,[],[5409,5429,5419,5470,5482,5486,5423,5468,5476,5484,5426,5474,5480,5488,5432,5472,5478,5490,5454,5374,5383,5413,5444,5458,5459,3375,3402,3409,3422,3138,3177,3189,3195,3843,3907,3908,3928,154,197,208,228,89,75,66,68,70,65,91,69,90,6,77,13,10,7,5,11,4,8,12,18,9,15,14,2,17,80,16,79])).
% 68.14/68.26  cnf(5539,plain,
% 68.14/68.26     (P6(f15(f23(a8)),f23(a8))),
% 68.14/68.26     inference(scs_inference,[],[5409,5429,5419,5470,5482,5486,5423,5468,5476,5484,5426,5474,5480,5488,5432,5472,5478,5490,5454,5374,5383,5413,5444,5458,5459,55,3375,3402,3409,3422,3138,3177,3189,3195,3843,3907,3908,3928,154,197,208,228,89,75,66,68,70,65,91,69,90,6,77,13,10,7,5,11,4,8,12,18,9,15,14,2,17,80,16,79,76])).
% 68.14/68.26  cnf(5542,plain,
% 68.14/68.26     (~P2(a12,f21(a11))),
% 68.14/68.26     inference(scs_inference,[],[5409,5429,5419,5470,5482,5486,5423,5468,5476,5484,5426,5474,5480,5488,5432,5472,5478,5490,5454,5374,5383,5413,5444,5458,5459,5305,55,3375,3402,3409,3422,3138,3177,3189,3195,3843,3907,3908,3928,154,197,208,228,89,75,66,68,70,65,91,69,90,6,77,13,10,7,5,11,4,8,12,18,9,15,14,2,17,80,16,79,76,21])).
% 68.14/68.26  cnf(5547,plain,
% 68.14/68.26     (P6(f22(a1,a10),f23(a8))),
% 68.14/68.26     inference(scs_inference,[],[5409,5429,5446,5415,5419,5470,5482,5486,5423,5468,5476,5484,5426,5474,5480,5488,5432,5472,5478,5490,5454,5374,5383,5413,5444,5458,5459,5305,132,55,3375,3402,3409,3422,3138,3177,3189,3195,3843,3907,3908,3928,154,197,208,228,89,75,66,68,70,65,91,69,90,6,77,13,10,7,5,11,4,8,12,18,9,15,14,2,17,80,16,79,76,21,33,74,32])).
% 68.14/68.26  cnf(5548,plain,
% 68.14/68.26     (E(f22(x55481,a9),f22(x55481,a10))),
% 68.14/68.26     inference(rename_variables,[],[5415])).
% 68.14/68.26  cnf(5553,plain,
% 68.14/68.26     (P9(f17(a3,a9),a11,a10)),
% 68.14/68.26     inference(scs_inference,[],[5409,5429,5446,5339,5415,5548,5419,5470,5482,5486,5423,5468,5476,5484,5426,5474,5480,5488,5432,5472,5478,5490,5454,5374,5383,5413,5444,5458,5459,5305,132,4574,55,3375,3402,3409,3422,3138,3177,3189,3195,3843,3907,3908,3928,154,197,208,228,89,75,66,68,70,65,91,69,90,6,77,13,10,7,5,11,4,8,12,18,9,15,14,2,17,80,16,79,76,21,33,74,32,3,19,590])).
% 68.14/68.26  cnf(5554,plain,
% 68.14/68.26     (P10(f16(a9,a3),a10,a11)),
% 68.14/68.26     inference(scs_inference,[],[5409,5429,5446,5339,5415,5548,5419,5470,5482,5486,5423,5468,5476,5484,5426,5474,5480,5488,5432,5472,5478,5490,5454,5374,5383,5413,5444,5458,5459,5305,132,4574,55,3375,3402,3409,3422,3138,3177,3189,3195,3843,3907,3908,3928,154,197,208,228,89,75,66,68,70,65,91,69,90,6,77,13,10,7,5,11,4,8,12,18,9,15,14,2,17,80,16,79,76,21,33,74,32,3,19,590,552])).
% 68.14/68.26  cnf(5555,plain,
% 68.14/68.26     (P9(f17(a9,a3),a10,a11)),
% 68.14/68.26     inference(scs_inference,[],[5409,5429,5446,5339,5415,5548,5419,5470,5482,5486,5423,5468,5476,5484,5426,5474,5480,5488,5432,5472,5478,5490,5454,5374,5383,5413,5444,5458,5459,5305,132,4574,55,3375,3402,3409,3422,3138,3177,3189,3195,3843,3907,3908,3928,154,197,208,228,89,75,66,68,70,65,91,69,90,6,77,13,10,7,5,11,4,8,12,18,9,15,14,2,17,80,16,79,76,21,33,74,32,3,19,590,552,596])).
% 68.14/68.26  cnf(5556,plain,
% 68.14/68.26     (P10(f16(a3,a9),a11,a10)),
% 68.14/68.26     inference(scs_inference,[],[5409,5429,5446,5339,5415,5548,5419,5470,5482,5486,5423,5468,5476,5484,5426,5474,5480,5488,5432,5472,5478,5490,5454,5374,5383,5413,5444,5458,5459,5305,132,4574,55,3375,3402,3409,3422,3138,3177,3189,3195,3843,3907,3908,3928,154,197,208,228,89,75,66,68,70,65,91,69,90,6,77,13,10,7,5,11,4,8,12,18,9,15,14,2,17,80,16,79,76,21,33,74,32,3,19,590,552,596,591])).
% 68.14/68.26  cnf(5557,plain,
% 68.14/68.26     (P12(f15(f21(a3)),a11)),
% 68.14/68.26     inference(scs_inference,[],[5409,5429,5446,5339,5415,5548,5419,5470,5482,5486,5423,5468,5476,5484,5426,5474,5480,5488,5432,5472,5478,5490,5454,5374,5383,5413,5444,5458,5459,5305,132,97,4574,55,3375,3402,3409,3422,3138,3177,3189,3195,3843,3907,3908,3928,154,197,208,228,89,75,66,68,70,65,91,69,90,6,77,13,10,7,5,11,4,8,12,18,9,15,14,2,17,80,16,79,76,21,33,74,32,3,19,590,552,596,591,25])).
% 68.14/68.26  cnf(5562,plain,
% 68.14/68.26     (P9(f17(a2,a3),a1,a11)),
% 68.14/68.26     inference(scs_inference,[],[5527,3409])).
% 68.14/68.26  cnf(5563,plain,
% 68.14/68.26     (E(f17(x55631,a11),f17(x55631,a3))),
% 68.14/68.26     inference(rename_variables,[],[5527])).
% 68.14/68.26  cnf(5565,plain,
% 68.14/68.26     (E(f17(a11,x55651),f17(a3,x55651))),
% 68.14/68.26     inference(rename_variables,[],[5524])).
% 68.14/68.26  cnf(5567,plain,
% 68.14/68.26     (E(f16(x55671,a11),f16(x55671,a3))),
% 68.14/68.26     inference(rename_variables,[],[5531])).
% 68.14/68.26  cnf(5568,plain,
% 68.14/68.26     (P9(f17(a1,a3),a2,a11)),
% 68.14/68.26     inference(scs_inference,[],[5524,5527,5563,5531,3409,3189,3138,154])).
% 68.14/68.26  cnf(5569,plain,
% 68.14/68.26     (E(f17(x55691,a11),f17(x55691,a3))),
% 68.14/68.26     inference(rename_variables,[],[5527])).
% 68.14/68.26  cnf(5571,plain,
% 68.14/68.26     (E(f17(x55711,a11),f17(x55711,a3))),
% 68.14/68.26     inference(rename_variables,[],[5527])).
% 68.14/68.26  cnf(5573,plain,
% 68.14/68.26     (E(f16(a11,x55731),f16(a3,x55731))),
% 68.14/68.26     inference(rename_variables,[],[5520])).
% 68.14/68.26  cnf(5574,plain,
% 68.14/68.26     (P10(f16(a3,a1),a11,a2)),
% 68.14/68.26     inference(scs_inference,[],[5520,5573,5524,5527,5563,5569,5531,3409,3189,3138,154,3928,3907,228])).
% 68.14/68.26  cnf(5575,plain,
% 68.14/68.26     (E(f16(a11,x55751),f16(a3,x55751))),
% 68.14/68.26     inference(rename_variables,[],[5520])).
% 68.14/68.26  cnf(5576,plain,
% 68.14/68.26     (P10(f16(a3,a2),a11,a1)),
% 68.14/68.26     inference(scs_inference,[],[5520,5573,5575,5524,5527,5563,5569,5531,3409,3189,3138,154,3928,3907,228,3402])).
% 68.14/68.26  cnf(5577,plain,
% 68.14/68.26     (E(f16(a11,x55771),f16(a3,x55771))),
% 68.14/68.26     inference(rename_variables,[],[5520])).
% 68.14/68.26  cnf(5580,plain,
% 68.14/68.26     (P9(f17(a3,a2),a11,a1)),
% 68.14/68.26     inference(scs_inference,[],[5520,5573,5575,5577,5524,5565,5527,5563,5569,5531,3409,3189,3138,154,3928,3907,228,3402,3195,3422])).
% 68.14/68.26  cnf(5581,plain,
% 68.14/68.26     (E(f17(a11,x55811),f17(a3,x55811))),
% 68.14/68.26     inference(rename_variables,[],[5524])).
% 68.14/68.26  cnf(5582,plain,
% 68.14/68.26     (P10(f16(a1,a3),a2,a11)),
% 68.14/68.26     inference(scs_inference,[],[5520,5573,5575,5577,5524,5565,5527,5563,5569,5531,5567,3409,3189,3138,154,3928,3907,228,3402,3195,3422,197])).
% 68.14/68.26  cnf(5583,plain,
% 68.14/68.26     (E(f16(x55831,a11),f16(x55831,a3))),
% 68.14/68.26     inference(rename_variables,[],[5531])).
% 68.14/68.26  cnf(5584,plain,
% 68.14/68.26     (~P1(f6(a12))),
% 68.14/68.26     inference(scs_inference,[],[5520,5573,5575,5577,5524,5565,5527,5563,5569,5531,5567,59,3409,3189,3138,154,3928,3907,228,3402,3195,3422,197,68])).
% 68.14/68.26  cnf(5586,plain,
% 68.14/68.26     (P7(f18(a5),a5)),
% 68.14/68.26     inference(scs_inference,[],[5520,5573,5575,5577,5524,5565,5527,5563,5569,5531,5567,59,47,3409,3189,3138,154,3928,3907,228,3402,3195,3422,197,68,70])).
% 68.14/68.26  cnf(5594,plain,
% 68.14/68.26     (P9(f17(a3,a1),a11,a2)),
% 68.14/68.26     inference(scs_inference,[],[5460,5520,5573,5575,5577,5524,5565,5581,5527,5563,5569,5571,5531,5567,59,47,3409,3189,3138,154,3928,3907,228,3402,3195,3422,197,68,70,66,3177,89,208])).
% 68.14/68.26  cnf(5595,plain,
% 68.14/68.26     (E(f17(a11,x55951),f17(a3,x55951))),
% 68.14/68.26     inference(rename_variables,[],[5524])).
% 68.14/68.26  cnf(5597,plain,
% 68.14/68.26     (E(f16(x55971,a11),f16(x55971,a3))),
% 68.14/68.26     inference(rename_variables,[],[5531])).
% 68.14/68.26  cnf(5600,plain,
% 68.14/68.26     (P10(f16(a2,a3),a1,a11)),
% 68.14/68.26     inference(scs_inference,[],[5460,5520,5573,5575,5577,5524,5565,5581,5595,5527,5563,5569,5571,5531,5567,5583,5597,59,47,3409,3189,3138,154,3928,3907,228,3402,3195,3422,197,68,70,66,3177,89,208,3843,3908,3375])).
% 68.14/68.26  cnf(5602,plain,
% 68.14/68.26     (P3(f6(a12))),
% 68.14/68.26     inference(scs_inference,[],[5460,5520,5573,5575,5577,5524,5565,5581,5595,5527,5563,5569,5571,5531,5567,5583,5597,59,47,3409,3189,3138,154,3928,3907,228,3402,3195,3422,197,68,70,66,3177,89,208,3843,3908,3375,65])).
% 68.14/68.26  cnf(5604,plain,
% 68.14/68.26     (~P1(f7(a12))),
% 68.14/68.26     inference(scs_inference,[],[5460,5520,5573,5575,5577,5524,5565,5581,5595,5527,5563,5569,5571,5531,5567,5583,5597,59,47,3409,3189,3138,154,3928,3907,228,3402,3195,3422,197,68,70,66,3177,89,208,3843,3908,3375,65,69])).
% 68.14/68.26  cnf(5612,plain,
% 68.14/68.26     (E(f22(a3,x56121),f22(a11,x56121))),
% 68.14/68.26     inference(scs_inference,[],[5532,5460,5461,5520,5573,5575,5577,5524,5565,5581,5595,5527,5563,5569,5571,5531,5567,5583,5597,5547,59,47,3409,3189,3138,154,3928,3907,228,3402,3195,3422,197,68,70,66,3177,89,208,3843,3908,3375,65,69,75,91,90,6])).
% 68.14/68.26  cnf(5613,plain,
% 68.14/68.26     (P2(f23(a8),f21(f23(a5)))),
% 68.14/68.26     inference(scs_inference,[],[5532,5460,5461,5520,5573,5575,5577,5524,5565,5581,5595,5527,5563,5569,5571,5531,5567,5583,5597,5547,5376,59,47,3409,3189,3138,154,3928,3907,228,3402,3195,3422,197,68,70,66,3177,89,208,3843,3908,3375,65,69,75,91,90,6,77])).
% 68.14/68.26  cnf(5615,plain,
% 68.14/68.26     (E(f16(a3,x56151),f16(a11,x56151))),
% 68.14/68.27     inference(scs_inference,[],[5532,5460,5461,5520,5573,5575,5577,5524,5565,5581,5595,5527,5563,5569,5571,5531,5567,5583,5597,5547,5376,59,47,3409,3189,3138,154,3928,3907,228,3402,3195,3422,197,68,70,66,3177,89,208,3843,3908,3375,65,69,75,91,90,6,77,13])).
% 68.14/68.27  cnf(5616,plain,
% 68.14/68.27     (E(f22(x56161,a3),f22(x56161,a11))),
% 68.14/68.27     inference(scs_inference,[],[5532,5460,5461,5520,5573,5575,5577,5524,5565,5581,5595,5527,5563,5569,5571,5531,5567,5583,5597,5547,5376,59,47,3409,3189,3138,154,3928,3907,228,3402,3195,3422,197,68,70,66,3177,89,208,3843,3908,3375,65,69,75,91,90,6,77,13,7])).
% 68.14/68.27  cnf(5617,plain,
% 68.14/68.27     (E(f17(a3,x56171),f17(a11,x56171))),
% 68.14/68.27     inference(scs_inference,[],[5532,5460,5461,5520,5573,5575,5577,5524,5565,5581,5595,5527,5563,5569,5571,5531,5567,5583,5597,5547,5376,59,47,3409,3189,3138,154,3928,3907,228,3402,3195,3422,197,68,70,66,3177,89,208,3843,3908,3375,65,69,75,91,90,6,77,13,7,11])).
% 68.14/68.27  cnf(5623,plain,
% 68.14/68.27     (E(f16(x56231,a3),f16(x56231,a11))),
% 68.14/68.27     inference(scs_inference,[],[5532,5460,5461,5520,5573,5575,5577,5524,5565,5581,5595,5527,5563,5569,5571,5531,5567,5583,5597,5547,5376,59,47,3409,3189,3138,154,3928,3907,228,3402,3195,3422,197,68,70,66,3177,89,208,3843,3908,3375,65,69,75,91,90,6,77,13,7,11,80,10,4,5,14])).
% 68.14/68.27  cnf(5624,plain,
% 68.14/68.27     (E(f4(x56241,a3),f4(x56241,a11))),
% 68.14/68.27     inference(scs_inference,[],[5532,5460,5461,5520,5573,5575,5577,5524,5565,5581,5595,5527,5563,5569,5571,5531,5567,5583,5597,5547,5376,59,47,3409,3189,3138,154,3928,3907,228,3402,3195,3422,197,68,70,66,3177,89,208,3843,3908,3375,65,69,75,91,90,6,77,13,7,11,80,10,4,5,14,9])).
% 68.14/68.27  cnf(5625,plain,
% 68.14/68.27     (E(f4(a3,x56251),f4(a11,x56251))),
% 68.14/68.27     inference(scs_inference,[],[5532,5460,5461,5520,5573,5575,5577,5524,5565,5581,5595,5527,5563,5569,5571,5531,5567,5583,5597,5547,5376,59,47,3409,3189,3138,154,3928,3907,228,3402,3195,3422,197,68,70,66,3177,89,208,3843,3908,3375,65,69,75,91,90,6,77,13,7,11,80,10,4,5,14,9,8])).
% 68.14/68.27  cnf(5627,plain,
% 68.14/68.27     (E(f21(a3),f21(a11))),
% 68.14/68.27     inference(scs_inference,[],[5532,5255,5460,5461,5520,5573,5575,5577,5524,5565,5581,5595,5527,5563,5569,5571,5531,5567,5583,5597,5547,5376,59,47,3409,3189,3138,154,3928,3907,228,3402,3195,3422,197,68,70,66,3177,89,208,3843,3908,3375,65,69,75,91,90,6,77,13,7,11,80,10,4,5,14,9,8,2,17])).
% 68.14/68.27  cnf(5629,plain,
% 68.14/68.27     (E(f17(x56291,a3),f17(x56291,a11))),
% 68.14/68.27     inference(scs_inference,[],[5532,5255,5460,5461,5520,5573,5575,5577,5524,5565,5581,5595,5527,5563,5569,5571,5531,5567,5583,5597,5547,5376,59,47,3409,3189,3138,154,3928,3907,228,3402,3195,3422,197,68,70,66,3177,89,208,3843,3908,3375,65,69,75,91,90,6,77,13,7,11,80,10,4,5,14,9,8,2,17,18,12])).
% 68.14/68.27  cnf(5634,plain,
% 68.14/68.27     (P6(f15(f6(a12)),f6(a12))),
% 68.14/68.27     inference(scs_inference,[],[5532,5255,5460,5461,5520,5573,5575,5577,5524,5565,5581,5595,5527,5563,5569,5571,5531,5567,5583,5597,5547,5234,5376,59,55,47,3409,3189,3138,154,3928,3907,228,3402,3195,3422,197,68,70,66,3177,89,208,3843,3908,3375,65,69,75,91,90,6,77,13,7,11,80,10,4,5,14,9,8,2,17,18,12,15,16,79,76])).
% 68.14/68.27  cnf(5635,plain,
% 68.14/68.27     (P2(f15(x56351),x56351)),
% 68.14/68.27     inference(rename_variables,[],[55])).
% 68.14/68.27  cnf(5637,plain,
% 68.14/68.27     (P2(f15(a3),a11)),
% 68.14/68.27     inference(scs_inference,[],[5532,5255,5460,5461,5520,5573,5575,5577,5524,5565,5581,5595,5527,5563,5569,5571,5531,5567,5583,5597,5547,5234,5376,59,55,5635,47,3409,3189,3138,154,3928,3907,228,3402,3195,3422,197,68,70,66,3177,89,208,3843,3908,3375,65,69,75,91,90,6,77,13,7,11,80,10,4,5,14,9,8,2,17,18,12,15,16,79,76,21])).
% 68.14/68.27  cnf(5644,plain,
% 68.14/68.27     (P9(f17(a11,a9),a3,a10)),
% 68.14/68.27     inference(scs_inference,[],[5532,5255,5460,5461,5520,5573,5575,5577,5524,5565,5581,5595,5527,5563,5569,5571,5531,5567,5583,5597,5547,5234,5376,5395,5329,5367,5383,4569,59,2058,55,5635,47,3409,3189,3138,154,3928,3907,228,3402,3195,3422,197,68,70,66,3177,89,208,3843,3908,3375,65,69,75,91,90,6,77,13,7,11,80,10,4,5,14,9,8,2,17,18,12,15,16,79,76,21,74,33,3,19,590])).
% 68.14/68.27  cnf(5645,plain,
% 68.14/68.27     (P9(f17(a9,a11),a10,a3)),
% 68.14/68.27     inference(scs_inference,[],[5532,5255,5460,5461,5520,5573,5575,5577,5524,5565,5581,5595,5527,5563,5569,5571,5531,5567,5583,5597,5547,5234,5376,5395,5329,5367,5383,4569,59,2058,55,5635,47,3409,3189,3138,154,3928,3907,228,3402,3195,3422,197,68,70,66,3177,89,208,3843,3908,3375,65,69,75,91,90,6,77,13,7,11,80,10,4,5,14,9,8,2,17,18,12,15,16,79,76,21,74,33,3,19,590,596])).
% 68.14/68.27  cnf(5646,plain,
% 68.14/68.27     (P10(f16(a9,a11),a10,a3)),
% 68.14/68.27     inference(scs_inference,[],[5532,5255,5460,5461,5520,5573,5575,5577,5524,5565,5581,5595,5527,5563,5569,5571,5531,5567,5583,5597,5547,5234,5376,5395,5329,5367,5383,4569,59,2058,55,5635,47,3409,3189,3138,154,3928,3907,228,3402,3195,3422,197,68,70,66,3177,89,208,3843,3908,3375,65,69,75,91,90,6,77,13,7,11,80,10,4,5,14,9,8,2,17,18,12,15,16,79,76,21,74,33,3,19,590,596,552])).
% 68.14/68.27  cnf(5647,plain,
% 68.14/68.27     (P10(f16(a11,a9),a3,a10)),
% 68.14/68.27     inference(scs_inference,[],[5532,5255,5460,5461,5520,5573,5575,5577,5524,5565,5581,5595,5527,5563,5569,5571,5531,5567,5583,5597,5547,5234,5376,5395,5329,5367,5383,4569,59,2058,55,5635,47,3409,3189,3138,154,3928,3907,228,3402,3195,3422,197,68,70,66,3177,89,208,3843,3908,3375,65,69,75,91,90,6,77,13,7,11,80,10,4,5,14,9,8,2,17,18,12,15,16,79,76,21,74,33,3,19,590,596,552,591])).
% 68.14/68.27  cnf(5653,plain,
% 68.14/68.27     (E(f16(x56531,a3),f16(x56531,a11))),
% 68.14/68.27     inference(rename_variables,[],[5623])).
% 68.14/68.27  cnf(5655,plain,
% 68.14/68.27     (E(f17(x56551,a3),f17(x56551,a11))),
% 68.14/68.27     inference(rename_variables,[],[5629])).
% 68.14/68.27  cnf(5656,plain,
% 68.14/68.27     (~P1(f6(f6(a12)))),
% 68.14/68.27     inference(scs_inference,[],[5623,5629,5584,3138,3928,68])).
% 68.14/68.27  cnf(5658,plain,
% 68.14/68.27     (P10(f16(a11,a1),a3,a2)),
% 68.14/68.27     inference(scs_inference,[],[5615,5623,5629,5584,3138,3928,68,228])).
% 68.14/68.27  cnf(5659,plain,
% 68.14/68.27     (E(f16(a3,x56591),f16(a11,x56591))),
% 68.14/68.27     inference(rename_variables,[],[5615])).
% 68.14/68.27  cnf(5661,plain,
% 68.14/68.27     (E(f17(a3,x56611),f17(a11,x56611))),
% 68.14/68.27     inference(rename_variables,[],[5617])).
% 68.14/68.27  cnf(5662,plain,
% 68.14/68.27     (P9(f17(a1,a11),a2,a3)),
% 68.14/68.27     inference(scs_inference,[],[5615,5617,5623,5629,5655,5584,3138,3928,68,228,3189,154])).
% 68.14/68.27  cnf(5663,plain,
% 68.14/68.27     (E(f17(x56631,a3),f17(x56631,a11))),
% 68.14/68.27     inference(rename_variables,[],[5629])).
% 68.14/68.27  cnf(5666,plain,
% 68.14/68.27     (P9(f17(a11,a2),a3,a1)),
% 68.14/68.27     inference(scs_inference,[],[5554,5615,5617,5661,5623,5629,5655,5584,3138,3928,68,228,3189,154,89,3422])).
% 68.14/68.27  cnf(5667,plain,
% 68.14/68.27     (E(f17(a3,x56671),f17(a11,x56671))),
% 68.14/68.27     inference(rename_variables,[],[5617])).
% 68.14/68.27  cnf(5672,plain,
% 68.14/68.27     (P10(f16(a11,a2),a3,a1)),
% 68.14/68.27     inference(scs_inference,[],[5554,5615,5659,5617,5661,5623,5629,5655,5584,5604,3138,3928,68,228,3189,154,89,3422,65,66,3402])).
% 68.14/68.27  cnf(5673,plain,
% 68.14/68.27     (E(f16(a3,x56731),f16(a11,x56731))),
% 68.14/68.27     inference(rename_variables,[],[5615])).
% 68.14/68.27  cnf(5674,plain,
% 68.14/68.27     (P9(f17(a2,a11),a1,a3)),
% 68.14/68.27     inference(scs_inference,[],[5554,5615,5659,5617,5661,5623,5629,5655,5663,5584,5604,3138,3928,68,228,3189,154,89,3422,65,66,3402,3409])).
% 68.14/68.27  cnf(5675,plain,
% 68.14/68.27     (E(f17(x56751,a3),f17(x56751,a11))),
% 68.14/68.27     inference(rename_variables,[],[5629])).
% 68.14/68.27  cnf(5676,plain,
% 68.14/68.27     (P10(f16(a2,a11),a1,a3)),
% 68.14/68.27     inference(scs_inference,[],[5554,5615,5659,5617,5661,5623,5653,5629,5655,5663,5584,5604,3138,3928,68,228,3189,154,89,3422,65,66,3402,3409,3375])).
% 68.14/68.27  cnf(5677,plain,
% 68.14/68.27     (E(f16(x56771,a3),f16(x56771,a11))),
% 68.14/68.27     inference(rename_variables,[],[5623])).
% 68.14/68.27  cnf(5679,plain,
% 68.14/68.27     (E(f16(a3,x56791),f16(a11,x56791))),
% 68.14/68.27     inference(rename_variables,[],[5615])).
% 68.14/68.27  cnf(5681,plain,
% 68.14/68.27     (E(f17(a3,x56811),f17(a11,x56811))),
% 68.14/68.27     inference(rename_variables,[],[5617])).
% 68.14/68.27  cnf(5686,plain,
% 68.14/68.27     (~P1(f7(f6(a12)))),
% 68.14/68.27     inference(scs_inference,[],[5553,5554,5615,5659,5673,5679,5617,5661,5667,5623,5653,5629,5655,5663,5584,5604,3138,3928,68,228,3189,154,89,3422,65,66,3402,3409,3375,3907,3908,91,3195,69])).
% 68.14/68.27  cnf(5688,plain,
% 68.14/68.27     (P10(f16(a1,a11),a2,a3)),
% 68.14/68.27     inference(scs_inference,[],[5553,5554,5615,5659,5673,5679,5617,5661,5667,5623,5653,5677,5629,5655,5663,5584,5604,3138,3928,68,228,3189,154,89,3422,65,66,3402,3409,3375,3907,3908,91,3195,69,197])).
% 68.14/68.27  cnf(5689,plain,
% 68.14/68.27     (E(f16(x56891,a3),f16(x56891,a11))),
% 68.14/68.27     inference(rename_variables,[],[5623])).
% 68.14/68.27  cnf(5692,plain,
% 68.14/68.27     (P9(f17(a11,a1),a3,a2)),
% 68.14/68.27     inference(scs_inference,[],[5553,5554,5615,5659,5673,5679,5617,5661,5667,5681,5623,5653,5677,5629,5655,5663,5675,5584,5604,3138,3928,68,228,3189,154,89,3422,65,66,3402,3409,3375,3907,3908,91,3195,69,197,3177,208])).
% 68.14/68.27  cnf(5696,plain,
% 68.14/68.27     (E(f22(a2,x56961),f22(a1,x56961))),
% 68.14/68.27     inference(scs_inference,[],[5553,5554,5615,5659,5673,5679,5617,5661,5667,5681,5623,5653,5677,5689,5629,5655,5663,5675,5584,5604,94,3138,3928,68,228,3189,154,89,3422,65,66,3402,3409,3375,3907,3908,91,3195,69,197,3177,208,3843,6])).
% 68.14/68.27  cnf(5701,plain,
% 68.14/68.27     (E(f16(a2,x57011),f16(a1,x57011))),
% 68.14/68.27     inference(scs_inference,[],[5553,5554,5615,5659,5673,5679,5617,5661,5667,5681,5623,5653,5677,5689,5629,5655,5663,5675,5584,5604,5557,94,3138,3928,68,228,3189,154,89,3422,65,66,3402,3409,3375,3907,3908,91,3195,69,197,3177,208,3843,6,90,77,13])).
% 68.14/68.27  cnf(5702,plain,
% 68.14/68.27     (E(f17(a2,x57021),f17(a1,x57021))),
% 68.14/68.27     inference(scs_inference,[],[5553,5554,5615,5659,5673,5679,5617,5661,5667,5681,5623,5653,5677,5689,5629,5655,5663,5675,5584,5604,5557,94,3138,3928,68,228,3189,154,89,3422,65,66,3402,3409,3375,3907,3908,91,3195,69,197,3177,208,3843,6,90,77,13,11])).
% 68.14/68.27  cnf(5705,plain,
% 68.14/68.27     (E(f22(x57051,a2),f22(x57051,a1))),
% 68.14/68.27     inference(scs_inference,[],[5553,5554,5615,5659,5673,5679,5617,5661,5667,5681,5623,5653,5677,5689,5629,5655,5663,5675,5584,5604,5634,5557,94,3138,3928,68,228,3189,154,89,3422,65,66,3402,3409,3375,3907,3908,91,3195,69,197,3177,208,3843,6,90,77,13,11,80,7])).
% 68.14/68.27  cnf(5707,plain,
% 68.14/68.27     (E(f17(x57071,a2),f17(x57071,a1))),
% 68.14/68.27     inference(scs_inference,[],[5553,5554,5615,5659,5673,5679,5617,5661,5667,5681,5623,5653,5677,5689,5629,5655,5663,5675,5584,5604,5634,5557,94,3138,3928,68,228,3189,154,89,3422,65,66,3402,3409,3375,3907,3908,91,3195,69,197,3177,208,3843,6,90,77,13,11,80,7,17,12])).
% 68.14/68.27  cnf(5708,plain,
% 68.14/68.27     (E(f4(a2,x57081),f4(a1,x57081))),
% 68.14/68.27     inference(scs_inference,[],[5553,5554,5615,5659,5673,5679,5617,5661,5667,5681,5623,5653,5677,5689,5629,5655,5663,5675,5584,5604,5634,5557,94,3138,3928,68,228,3189,154,89,3422,65,66,3402,3409,3375,3907,3908,91,3195,69,197,3177,208,3843,6,90,77,13,11,80,7,17,12,8])).
% 68.14/68.27  cnf(5709,plain,
% 68.14/68.27     (E(f18(a2),f18(a1))),
% 68.14/68.27     inference(scs_inference,[],[5553,5554,5615,5659,5673,5679,5617,5661,5667,5681,5623,5653,5677,5689,5629,5655,5663,5675,5584,5604,5634,5557,94,3138,3928,68,228,3189,154,89,3422,65,66,3402,3409,3375,3907,3908,91,3195,69,197,3177,208,3843,6,90,77,13,11,80,7,17,12,8,18])).
% 68.14/68.27  cnf(5710,plain,
% 68.14/68.27     (E(f4(x57101,a2),f4(x57101,a1))),
% 68.14/68.27     inference(scs_inference,[],[5553,5554,5615,5659,5673,5679,5617,5661,5667,5681,5623,5653,5677,5689,5629,5655,5663,5675,5584,5604,5634,5557,94,3138,3928,68,228,3189,154,89,3422,65,66,3402,3409,3375,3907,3908,91,3195,69,197,3177,208,3843,6,90,77,13,11,80,7,17,12,8,18,9])).
% 68.14/68.27  cnf(5711,plain,
% 68.14/68.27     (E(f16(x57111,a2),f16(x57111,a1))),
% 68.14/68.27     inference(scs_inference,[],[5553,5554,5615,5659,5673,5679,5617,5661,5667,5681,5623,5653,5677,5689,5629,5655,5663,5675,5584,5604,5634,5557,94,3138,3928,68,228,3189,154,89,3422,65,66,3402,3409,3375,3907,3908,91,3195,69,197,3177,208,3843,6,90,77,13,11,80,7,17,12,8,18,9,14])).
% 68.14/68.27  cnf(5715,plain,
% 68.14/68.27     (P4(f18(a5))),
% 68.14/68.27     inference(scs_inference,[],[5256,5553,5554,5615,5659,5673,5679,5617,5661,5667,5681,5623,5653,5677,5689,5629,5655,5663,5675,5365,5584,5604,5586,5634,5557,94,47,3138,3928,68,228,3189,154,89,3422,65,66,3402,3409,3375,3907,3908,91,3195,69,197,3177,208,3843,6,90,77,13,11,80,7,17,12,8,18,9,14,2,79,74])).
% 68.14/68.27  cnf(5719,plain,
% 68.14/68.27     (E(f4(a10,a10),f4(a9,a9))),
% 68.14/68.27     inference(scs_inference,[],[5256,5553,5554,5352,5353,5615,5659,5673,5679,5617,5661,5667,5681,5623,5653,5677,5689,5629,5655,5663,5675,5365,5584,5604,5586,5634,5557,95,94,47,3138,3928,68,228,3189,154,89,3422,65,66,3402,3409,3375,3907,3908,91,3195,69,197,3177,208,3843,6,90,77,13,11,80,7,17,12,8,18,9,14,2,79,74,33,3])).
% 68.14/68.27  cnf(5754,plain,
% 68.14/68.27     (E(f4(a9,a9),f4(a10,a10))),
% 68.14/68.27     inference(scs_inference,[],[5555,5556,5719,5539,3318,5604,68,89,91,65,69,90,77,80,2])).
% 68.14/68.27  cnf(5760,plain,
% 68.14/68.27     (P3(f4(a3,a11))),
% 68.14/68.27     inference(scs_inference,[],[41,5555,5556,5526,5701,5719,5537,5467,5613,5539,3318,5604,68,89,91,65,69,90,77,80,2,85,34,35,22])).
% 68.14/68.27  cnf(5762,plain,
% 68.14/68.27     (P12(f18(a2),f18(a1))),
% 68.14/68.27     inference(scs_inference,[],[41,5555,5556,5258,5526,5701,5719,5537,5467,5613,5539,3318,5604,50,68,89,91,65,69,90,77,80,2,85,34,35,22,24])).
% 68.14/68.27  cnf(5768,plain,
% 68.14/68.27     (~P2(f23(a8),f21(a3))),
% 68.14/68.27     inference(scs_inference,[],[41,5555,5556,5258,5526,5701,5702,5719,5537,5467,5325,5613,5539,3318,5604,43,50,68,89,91,65,69,90,77,80,2,85,34,35,22,24,79,20,82])).
% 68.14/68.27  cnf(5771,plain,
% 68.14/68.27     (~P2(f23(a8),f21(a11))),
% 68.14/68.27     inference(scs_inference,[],[41,5555,5556,5258,5526,5533,5701,5702,5719,5537,5467,5469,5325,5613,5539,3318,5604,43,50,68,89,91,65,69,90,77,80,2,85,34,35,22,24,79,20,82,36,21])).
% 68.14/68.27  cnf(5773,plain,
% 68.14/68.27     (P6(f15(f7(a12)),f7(a12))),
% 68.14/68.27     inference(scs_inference,[],[41,5555,5556,5258,5526,5533,5701,5702,5719,5537,5467,5469,5473,5325,5613,5539,3318,5604,43,55,50,68,89,91,65,69,90,77,80,2,85,34,35,22,24,79,20,82,36,21,31,76])).
% 68.14/68.27  cnf(5792,plain,
% 68.14/68.27     (P2(f18(a2),f21(f18(a1)))),
% 68.14/68.27     inference(scs_inference,[],[5644,5646,5762,89,91,77])).
% 68.14/68.27  cnf(5804,plain,
% 68.14/68.27     (E(f4(a9,a11),f4(a10,a3))),
% 68.14/68.27     inference(scs_inference,[],[5754,5644,5646,5420,5529,5369,5602,5762,5768,5303,5773,55,89,91,77,90,80,2,79,20,21,3])).
% 68.14/68.27  cnf(5808,plain,
% 68.14/68.27     (~P6(f22(a2,a10),f23(a5))),
% 68.14/68.27     inference(scs_inference,[],[5754,5644,5646,5420,5529,5369,5602,5762,5768,5303,5773,5319,5285,146,51,43,55,47,89,91,77,90,80,2,79,20,21,3,19,92])).
% 68.14/68.27  cnf(5847,plain,
% 68.14/68.27     (E(f4(a3,a9),f4(a11,a10))),
% 68.14/68.27     inference(scs_inference,[],[5645,5647,5760,5804,5792,5709,5427,5625,5439,565,91,89,90,77,80,2,79,20,3])).
% 68.14/68.27  cnf(5859,plain,
% 68.14/68.27     (~P8(a5,a2,a1)+~P1(f23(a5))),
% 68.14/68.27     inference(scs_inference,[],[41,5645,5647,5760,5804,5792,5709,5427,5625,5439,5586,5715,565,5238,4574,47,91,89,90,77,80,2,79,20,3,19,83,84,39,436,432,434,71])).
% 68.14/68.27  cnf(5872,plain,
% 68.14/68.27     (P9(f16(a1,a10),a2,a9)),
% 68.14/68.27     inference(scs_inference,[],[5493,89])).
% 68.14/68.27  cnf(5880,plain,
% 68.14/68.27     (E(f4(a11,a10),f4(a3,a9))),
% 68.14/68.27     inference(scs_inference,[],[5491,5493,5847,105,89,91,77,90,2])).
% 68.14/68.27  cnf(5881,plain,
% 68.14/68.27     (P9(f17(a3,a1),a11,a1)),
% 68.14/68.27     inference(scs_inference,[],[5491,5493,5580,5847,5707,105,89,91,77,90,2,29])).
% 68.14/68.27  cnf(5883,plain,
% 68.14/68.27     (P3(f4(a12,a12))),
% 68.14/68.27     inference(scs_inference,[],[5491,5493,5580,5847,5707,45,105,89,91,77,90,2,29,79])).
% 68.14/68.27  cnf(5885,plain,
% 68.14/68.27     (E(f22(a11,a3),f22(a3,a11))),
% 68.14/68.27     inference(scs_inference,[],[5491,5493,5580,5847,5517,5616,5707,45,105,89,91,77,90,2,29,79,3])).
% 68.14/68.27  cnf(5920,plain,
% 68.14/68.27     (P10(f17(a10,a1),a9,a2)),
% 68.14/68.27     inference(scs_inference,[],[5495,5497,89,91,90])).
% 68.14/68.27  cnf(5931,plain,
% 68.14/68.27     (E(f4(a2,a3),f4(a1,a11))),
% 68.14/68.27     inference(scs_inference,[],[5880,5495,5497,5883,5885,5624,5708,5278,103,132,55,89,91,90,77,2,79,33,21,3])).
% 68.14/68.27  cnf(5949,plain,
% 68.14/68.27     (P10(f17(a2,a3),a1,a11)),
% 68.14/68.27     inference(scs_inference,[],[5562,5574,149,89,91,77,90])).
% 68.14/68.27  cnf(5951,plain,
% 68.14/68.27     (E(f4(a1,a11),f4(a2,a3))),
% 68.14/68.27     inference(scs_inference,[],[5562,5574,5931,149,89,91,77,90,2])).
% 68.14/68.27  cnf(5952,plain,
% 68.14/68.27     (E(f22(a3,a2),f22(a11,a1))),
% 68.14/68.27     inference(scs_inference,[],[5562,5574,5931,5612,5705,149,89,91,77,90,2,3])).
% 68.14/68.27  cnf(5961,plain,
% 68.14/68.27     (P9(f16(a3,a2),a11,a1)),
% 68.14/68.27     inference(scs_inference,[],[5568,5576,91,89])).
% 68.14/68.27  cnf(5963,plain,
% 68.14/68.27     (P2(x59631,f21(x59631))),
% 68.14/68.27     inference(scs_inference,[],[5568,5576,50,91,89,77])).
% 68.14/68.27  cnf(5967,plain,
% 68.14/68.27     (E(f22(a11,a1),f22(a3,a2))),
% 68.14/68.27     inference(scs_inference,[],[5568,5576,5952,50,91,89,77,90,2])).
% 68.14/68.27  cnf(5968,plain,
% 68.14/68.27     (P10(f16(a2,a3),a2,a11)),
% 68.14/68.27     inference(scs_inference,[],[41,5568,5576,5600,5952,50,91,89,77,90,2,35])).
% 68.14/68.27  cnf(5971,plain,
% 68.14/68.27     (P10(f17(a9,a1),a9,a2)),
% 68.14/68.27     inference(scs_inference,[],[41,5568,5576,5600,5952,5920,5342,5365,5625,50,91,89,77,90,2,35,22,34])).
% 68.14/68.27  cnf(5973,plain,
% 68.14/68.27     (P12(f4(a2,a3),f4(a1,a11))),
% 68.14/68.27     inference(scs_inference,[],[41,5951,5568,5576,5600,5952,5920,5342,5365,5625,50,91,89,77,90,2,35,22,34,24])).
% 68.14/68.27  cnf(5975,plain,
% 68.14/68.27     (~P2(f7(a12),f21(a11))),
% 68.14/68.27     inference(scs_inference,[],[41,5951,5568,5576,5600,5952,5920,5342,5365,5625,5773,44,50,91,89,77,90,2,35,22,34,24,82])).
% 68.14/68.27  cnf(5977,plain,
% 68.14/68.27     (P9(f17(a11,a2),a3,a2)),
% 68.14/68.27     inference(scs_inference,[],[41,5951,5568,5576,5600,5666,5952,5920,5342,5365,5625,5773,44,50,91,89,77,90,2,35,22,34,24,82,31])).
% 68.14/68.27  cnf(5983,plain,
% 68.14/68.27     (~P2(f7(a12),f21(a3))),
% 68.14/68.27     inference(scs_inference,[],[41,5951,5568,5576,5600,5666,5674,5411,5952,5920,5627,5342,5365,5625,5773,44,50,91,89,77,90,2,35,22,34,24,82,31,79,20,36,30,21])).
% 68.14/68.27  cnf(5986,plain,
% 68.14/68.27     (E(f4(a9,a2),f4(a10,a1))),
% 68.14/68.27     inference(scs_inference,[],[41,5951,5568,5576,5600,5666,5674,5411,5952,5920,5710,5627,5342,5365,5420,5625,5773,95,44,50,91,89,77,90,2,35,22,34,24,82,31,79,20,36,30,21,33,3])).
% 68.14/68.27  cnf(5994,plain,
% 68.14/68.27     (P9(f16(a1,a3),a2,a11)),
% 68.14/68.27     inference(scs_inference,[],[5582,89])).
% 68.14/68.27  cnf(6003,plain,
% 68.14/68.27     (P12(f4(a2,a3),f4(a1,a3))),
% 68.14/68.27     inference(scs_inference,[],[5582,5594,5973,5986,5529,89,91,77,90,2,25])).
% 68.14/68.27  cnf(6005,plain,
% 68.14/68.27     (~P6(f7(a12),f21(a11))),
% 68.14/68.27     inference(scs_inference,[],[5963,5582,5594,5973,5986,5975,5529,89,91,77,90,2,25,85])).
% 68.14/68.27  cnf(6006,plain,
% 68.14/68.27     (P2(x60061,f21(x60061))),
% 68.14/68.27     inference(rename_variables,[],[5963])).
% 68.14/68.27  cnf(6012,plain,
% 68.14/68.27     (E(f22(a2,a3),f22(a1,a11))),
% 68.14/68.27     inference(scs_inference,[],[5963,6006,5582,5594,5967,5973,5986,5975,5696,5529,5616,55,89,91,77,90,2,25,85,20,21,3])).
% 68.14/68.27  cnf(6020,plain,
% 68.14/68.27     (P9(f16(a11,a1),a3,a2)),
% 68.14/68.27     inference(scs_inference,[],[5658,5662,91,89])).
% 68.14/68.27  cnf(6027,plain,
% 68.14/68.27     (P2(f15(f6(a12)),a12)),
% 68.14/68.27     inference(scs_inference,[],[5658,5662,5345,6003,6012,5634,91,89,77,90,2,85])).
% 68.14/68.27  cnf(6031,plain,
% 68.14/68.27     (E(f16(a10,a10),f16(a9,a9))),
% 68.14/68.27     inference(scs_inference,[],[5658,5662,5345,6003,6012,5337,5355,5439,5634,132,91,89,77,90,2,85,33,3])).
% 68.14/68.27  cnf(6040,plain,
% 68.14/68.27     (P9(f16(a11,a2),a3,a1)),
% 68.14/68.27     inference(scs_inference,[],[5672,89])).
% 68.14/68.27  cnf(6048,plain,
% 68.14/68.27     (E(f16(a9,a9),f16(a10,a10))),
% 68.14/68.27     inference(scs_inference,[],[5672,5692,6031,3113,89,91,77,90,2])).
% 68.14/68.27  cnf(6052,plain,
% 68.14/68.27     (P9(f16(a3,a1),a11,a1)),
% 68.14/68.27     inference(scs_inference,[],[5672,5692,6031,5961,5983,5711,5963,3113,89,91,77,90,2,85,29])).
% 68.14/68.27  cnf(6054,plain,
% 68.14/68.27     (P6(f15(f6(a12)),a12)),
% 68.14/68.27     inference(scs_inference,[],[5672,5692,6031,5961,6027,5983,5711,5963,59,3113,89,91,77,90,2,85,29,76])).
% 68.14/68.27  cnf(6056,plain,
% 68.14/68.27     (E(f17(a1,a10),f17(a2,a9))),
% 68.14/68.27     inference(scs_inference,[],[5672,5692,6031,5961,6027,5983,5356,5711,5267,5963,59,3113,89,91,77,90,2,85,29,76,3])).
% 68.14/68.27  cnf(6059,plain,
% 68.14/68.27     (P10(f16(a10,a10),a9,a10)),
% 68.14/68.27     inference(scs_inference,[],[5672,5692,6031,5961,6027,5983,5356,5711,5267,5963,59,3113,89,91,77,90,2,85,29,76,3,591])).
% 68.14/68.27  cnf(6060,plain,
% 68.14/68.27     (P10(f16(a10,a10),a10,a9)),
% 68.14/68.27     inference(scs_inference,[],[5672,5692,6031,5961,6027,5983,5356,5711,5267,5963,59,3113,89,91,77,90,2,85,29,76,3,591,552])).
% 68.14/68.27  cnf(6067,plain,
% 68.14/68.27     (P9(f16(a2,a11),a1,a3)),
% 68.14/68.27     inference(scs_inference,[],[5676,5994,91,89])).
% 68.14/68.27  cnf(6074,plain,
% 68.14/68.27     (P2(f22(a2,a10),f23(a5))),
% 68.14/68.27     inference(scs_inference,[],[5676,6056,5994,6052,5613,5446,3115,91,89,77,90,2,85])).
% 68.14/68.27  cnf(6080,plain,
% 68.14/68.27     (E(f16(a1,a1),f16(a2,a2))),
% 68.14/68.27     inference(scs_inference,[],[5676,6048,6056,5994,6052,5269,5270,5613,5278,5446,5963,119,3115,91,89,77,90,2,85,20,33,3])).
% 68.14/68.27  cnf(6083,plain,
% 68.14/68.27     (P9(f17(a1,a10),a1,a9)),
% 68.14/68.27     inference(scs_inference,[],[5676,6048,6056,5994,6052,5269,5270,5613,5278,5446,5963,119,3115,91,89,77,90,2,85,20,33,3,3409])).
% 68.14/68.27  cnf(6089,plain,
% 68.14/68.27     (P9(f16(a1,a11),a2,a3)),
% 68.14/68.27     inference(scs_inference,[],[5688,6020,91,89])).
% 68.14/68.27  cnf(6095,plain,
% 68.14/68.27     (E(f16(a2,a2),f16(a1,a1))),
% 68.14/68.27     inference(scs_inference,[],[6080,5688,6020,6083,3790,91,89,77,90,2])).
% 68.14/68.27  cnf(6099,plain,
% 68.14/68.27     (E(f17(a3,a1),f17(a11,a2))),
% 68.14/68.27     inference(scs_inference,[],[6080,5688,6020,6083,5771,5268,5617,5963,3790,91,89,77,90,2,85,3])).
% 68.14/68.27  cnf(6100,plain,
% 68.14/68.27     (E(f17(x61001,a1),f17(x61001,a2))),
% 68.14/68.27     inference(rename_variables,[],[5268])).
% 68.14/68.27  cnf(6103,plain,
% 68.14/68.27     (P10(f17(a2,a3),a2,a11)),
% 68.14/68.27     inference(scs_inference,[],[41,4668,6080,5688,6020,6083,5949,5771,5268,5617,5963,3790,91,89,77,90,2,85,3,26,35])).
% 68.14/68.27  cnf(6106,plain,
% 68.14/68.27     (P12(f16(a2,a2),f16(a1,a1))),
% 68.14/68.27     inference(scs_inference,[],[41,4668,6080,5688,5971,6020,6083,5949,5771,5268,6100,5617,5963,50,3790,91,89,77,90,2,85,3,26,35,34,24])).
% 68.14/68.27  cnf(6114,plain,
% 68.14/68.27     (P9(f16(a10,a10),a9,a10)),
% 68.14/68.27     inference(scs_inference,[],[6059,5977,91,89])).
% 68.14/68.27  cnf(6121,plain,
% 68.14/68.27     (P12(f16(a2,a2),f16(a2,a1))),
% 68.14/68.27     inference(scs_inference,[],[6106,6099,6059,5977,5269,91,89,77,90,2,25])).
% 68.14/68.27  cnf(6123,plain,
% 68.14/68.27     (P2(f15(f7(a20)),a20)),
% 68.14/68.27     inference(scs_inference,[],[6106,6099,6059,5977,5250,5269,5439,91,89,77,90,2,25,85])).
% 68.14/68.27  cnf(6125,plain,
% 68.14/68.27     (P9(f16(a11,a2),a3,a2)),
% 68.14/68.27     inference(scs_inference,[],[41,6106,6099,6059,5977,6040,5250,5269,5439,91,89,77,90,2,25,85,31])).
% 68.14/68.27  cnf(6128,plain,
% 68.14/68.27     (P9(f16(a2,a11),a2,a3)),
% 68.14/68.27     inference(scs_inference,[],[41,6095,6106,6099,6059,5977,6040,6067,5250,5269,5439,3360,91,89,77,90,2,25,85,31,36,30])).
% 68.14/68.27  cnf(6131,plain,
% 68.14/68.27     (E(f22(a11,a2),f22(a3,a1))),
% 68.14/68.27     inference(scs_inference,[],[41,6095,6106,6099,6059,5977,6040,6067,5250,5517,5705,5269,5439,3360,55,91,89,77,90,2,25,85,31,36,30,21,3])).
% 68.14/68.27  cnf(6147,plain,
% 68.14/68.27     (P9(f16(a10,a10),a10,a9)),
% 68.14/68.27     inference(scs_inference,[],[6060,5881,91,89])).
% 68.14/68.27  cnf(6157,plain,
% 68.14/68.27     (P6(f15(f7(a20)),a20)),
% 68.14/68.27     inference(scs_inference,[],[6121,6060,5881,6131,6123,5542,5963,60,91,89,77,90,2,85,76])).
% 68.14/68.27  cnf(6159,plain,
% 68.14/68.27     (E(f15(f21(a3)),a11)),
% 68.14/68.27     inference(scs_inference,[],[6121,6060,5881,6131,6123,5542,5271,5963,60,5532,91,89,77,90,2,85,76,3])).
% 68.14/68.27  cnf(6160,plain,
% 68.14/68.27     (P12(a11,a3)),
% 68.14/68.27     inference(scs_inference,[],[6121,6060,5881,6131,6123,5542,5271,5963,60,5532,91,89,77,90,2,85,76,3,332])).
% 68.14/68.27  cnf(6168,plain,
% 68.14/68.27     (P9(f17(a2,a3),a2,a11)),
% 68.14/68.27     inference(scs_inference,[],[6089,6103,91,89])).
% 68.14/68.27  cnf(6172,plain,
% 68.14/68.27     (P2(a11,f21(a3))),
% 68.14/68.27     inference(scs_inference,[],[6160,6089,6103,6125,91,89,90,77])).
% 68.14/68.27  cnf(6183,plain,
% 68.14/68.27     (P1(f23(a5))),
% 68.14/68.27     inference(scs_inference,[],[6160,6074,6089,6103,6114,6125,6157,6159,5808,6031,5533,5613,5278,5547,136,43,91,89,90,77,2,29,85,82,21,33,76])).
% 68.14/68.27  cnf(6185,plain,
% 68.14/68.27     (E(f16(a3,a10),f16(a11,a9))),
% 68.14/68.27     inference(scs_inference,[],[6160,6074,6089,6103,6114,6125,6157,6159,5808,6031,5533,5355,5615,5613,5278,5547,136,43,91,89,90,77,2,29,85,82,21,33,76,3])).
% 68.14/68.27  cnf(6190,plain,
% 68.14/68.27     (E(f23(a5),a3)),
% 68.14/68.27     inference(scs_inference,[],[6160,6074,6089,6103,6114,6125,5513,6157,6159,5808,6031,5533,5355,5615,5613,5278,5547,136,43,91,89,90,77,2,29,85,82,21,33,76,3,19,5859,62])).
% 68.14/68.27  cnf(6192,plain,
% 68.14/68.27     (E(f17(f23(a5),x61921),f17(a3,x61921))),
% 68.14/68.27     inference(scs_inference,[],[6160,6074,6089,6103,6114,6125,5513,6157,6159,5808,6031,5533,5355,5615,5613,5278,5547,136,43,91,89,90,77,2,29,85,82,21,33,76,3,19,5859,62,11])).
% 68.14/68.27  cnf(6196,plain,
% 68.14/68.27     (P3(f23(a5))),
% 68.14/68.27     inference(scs_inference,[],[6160,6074,6089,6103,6114,6125,5513,6157,6159,5808,6031,5533,5355,5615,5613,5278,5547,136,43,91,89,90,77,2,29,85,82,21,33,76,3,19,5859,62,11,3908,7,10,63])).
% 68.14/68.27  cnf(6198,plain,
% 68.14/68.27     (E(f21(f23(a5)),f21(a3))),
% 68.14/68.27     inference(scs_inference,[],[6160,6074,6089,6103,6114,6125,5513,6157,6159,5808,6031,5533,5355,5615,5613,5278,5547,136,43,91,89,90,77,2,29,85,82,21,33,76,3,19,5859,62,11,3908,7,10,63,17])).
% 68.14/68.27  cnf(6200,plain,
% 68.14/68.27     (E(f16(x62001,f23(a5)),f16(x62001,a3))),
% 68.14/68.27     inference(scs_inference,[],[6160,6074,6089,6103,6114,6125,5513,6157,6159,5808,6031,5533,5355,5615,5613,5278,5547,136,43,91,89,90,77,2,29,85,82,21,33,76,3,19,5859,62,11,3908,7,10,63,17,18,14])).
% 68.14/68.27  cnf(6226,plain,
% 68.14/68.27     (~P8(a5,a9,a9)),
% 68.14/68.27     inference(scs_inference,[],[6190,422])).
% 68.14/68.27  cnf(6231,plain,
% 68.14/68.27     (E(f4(f23(a5),x62311),f4(a3,x62311))),
% 68.14/68.27     inference(scs_inference,[],[6190,4703,4707,15,8])).
% 68.14/68.27  cnf(6232,plain,
% 68.14/68.27     (E(f17(x62321,f23(a5)),f17(x62321,a3))),
% 68.14/68.27     inference(scs_inference,[],[6190,4703,4707,15,8,12])).
% 68.14/68.27  cnf(6235,plain,
% 68.14/68.27     (E(f4(x62351,f23(a5)),f4(x62351,a3))),
% 68.14/68.27     inference(scs_inference,[],[6128,6190,4703,4707,15,8,12,91,9])).
% 68.14/68.27  cnf(6236,plain,
% 68.14/68.27     (E(f16(f23(a5),x62361),f16(a3,x62361))),
% 68.14/68.27     inference(scs_inference,[],[6128,6190,4703,4707,15,8,12,91,9,13])).
% 68.14/68.27  cnf(6237,plain,
% 68.14/68.27     (P9(f16(a2,a3),a2,a11)),
% 68.14/68.27     inference(scs_inference,[],[6128,5968,6190,4703,4707,15,8,12,91,9,13,89])).
% 68.14/68.27  cnf(6241,plain,
% 68.14/68.28     (E(f17(f23(a5),x62411),f17(a3,x62411))),
% 68.14/68.28     inference(rename_variables,[],[6192])).
% 68.14/68.28  cnf(6242,plain,
% 68.14/68.28     (P9(f17(a3,a9),f23(a5),a10)),
% 68.14/68.28     inference(scs_inference,[],[6128,5968,6190,6192,6241,4703,4707,15,8,12,91,9,13,89,6,3189,590])).
% 68.14/68.28  cnf(6243,plain,
% 68.14/68.28     (E(f17(f23(a5),x62431),f17(a3,x62431))),
% 68.14/68.28     inference(rename_variables,[],[6192])).
% 68.14/68.28  cnf(6244,plain,
% 68.14/68.28     (P9(f17(a9,a3),a10,f23(a5))),
% 68.14/68.28     inference(scs_inference,[],[6128,5968,6190,6192,6241,4703,4707,15,8,12,91,9,13,89,6,3189,590,596])).
% 68.14/68.28  cnf(6249,plain,
% 68.14/68.28     (P10(f16(a3,a1),f23(a5),a2)),
% 68.14/68.28     inference(scs_inference,[],[6128,5968,6190,6192,6241,3782,4703,4707,15,8,12,91,9,13,89,6,3189,590,596,90,77,228])).
% 68.14/68.28  cnf(6251,plain,
% 68.14/68.28     (E(f16(x62511,f23(a5)),f16(x62511,a3))),
% 68.14/68.28     inference(rename_variables,[],[6200])).
% 68.14/68.28  cnf(6253,plain,
% 68.14/68.28     (E(f16(x62531,f23(a5)),f16(x62531,a3))),
% 68.14/68.28     inference(rename_variables,[],[6200])).
% 68.14/68.28  cnf(6255,plain,
% 68.14/68.28     (E(f17(f23(a5),x62551),f17(a3,x62551))),
% 68.14/68.28     inference(rename_variables,[],[6192])).
% 68.14/68.28  cnf(6260,plain,
% 68.14/68.28     (E(f16(x62601,f23(a5)),f16(x62601,a3))),
% 68.14/68.28     inference(rename_variables,[],[6200])).
% 68.14/68.28  cnf(6263,plain,
% 68.14/68.28     (E(f16(x62631,f23(a5)),f16(x62631,a3))),
% 68.14/68.28     inference(rename_variables,[],[6200])).
% 68.14/68.28  cnf(6266,plain,
% 68.14/68.28     (E(f16(a11,a9),f16(a3,a10))),
% 68.14/68.28     inference(scs_inference,[],[6185,6128,5968,6190,6192,6241,6243,6255,6200,6251,6253,6260,6263,3782,4703,4707,15,8,12,91,9,13,89,6,3189,590,596,90,77,228,3138,3375,3422,5,208,197,16,552,3843,2])).
% 68.14/68.28  cnf(6270,plain,
% 68.14/68.28     (~P2(a20,f21(f23(a5)))),
% 68.14/68.28     inference(scs_inference,[],[6185,6183,6128,5968,6190,6192,6241,6243,6255,6200,6251,6253,6260,6263,6157,5768,5963,3782,4703,4707,15,8,12,91,9,13,89,6,3189,590,596,90,77,228,3138,3375,3422,5,208,197,16,552,3843,2,85,82])).
% 68.14/68.28  cnf(6274,plain,
% 68.14/68.28     (~P6(x62741,f23(a5))),
% 68.14/68.28     inference(scs_inference,[],[6185,6183,6128,5968,6190,6192,6241,6243,6255,6200,6251,6253,6260,6263,6157,5768,5963,95,3782,55,4703,4707,15,8,12,91,9,13,89,6,3189,590,596,90,77,228,3138,3375,3422,5,208,197,16,552,3843,2,85,82,21,33])).
% 68.14/68.28  cnf(6277,plain,
% 68.14/68.28     (E(f23(a5),a11)),
% 68.14/68.28     inference(scs_inference,[],[6185,6183,6196,6128,5968,6190,6192,6241,6243,6255,6200,6251,6253,6260,6263,6157,5768,5613,5963,95,5532,3782,55,4703,4707,15,8,12,91,9,13,89,6,3189,590,596,90,77,228,3138,3375,3422,5,208,197,16,552,3843,2,85,82,21,33,78,3])).
% 68.14/68.28  cnf(6280,plain,
% 68.14/68.28     (P10(f16(a3,a10),a11,a10)),
% 68.14/68.28     inference(scs_inference,[],[6185,6183,6196,6128,5968,6172,6190,6192,6241,6243,6255,6200,6251,6253,6260,6263,5656,6157,5983,5768,5613,5963,95,5532,3782,55,4703,4707,15,8,12,91,9,13,89,6,3189,590,596,90,77,228,3138,3375,3422,5,208,197,16,552,3843,2,85,82,21,33,78,3,19,20,591])).
% 68.14/68.28  cnf(6281,plain,
% 68.14/68.28     (E(f17(f23(a5),x62811),f17(a11,x62811))),
% 68.14/68.28     inference(scs_inference,[],[6185,6183,6196,6128,5968,6172,6190,6192,6241,6243,6255,6200,6251,6253,6260,6263,5656,6157,5983,5768,5613,5963,95,5532,3782,55,4703,4707,15,8,12,91,9,13,89,6,3189,590,596,90,77,228,3138,3375,3422,5,208,197,16,552,3843,2,85,82,21,33,78,3,19,20,591,11])).
% 68.14/68.28  cnf(6285,plain,
% 68.14/68.28     (E(f21(f23(a5)),f21(a11))),
% 68.14/68.28     inference(scs_inference,[],[6185,6183,6196,6128,5968,6172,6190,6192,6241,6243,6255,6200,6251,6253,6260,6263,5656,6157,5983,5768,5613,5963,95,5532,3782,55,4703,4707,15,8,12,91,9,13,89,6,3189,590,596,90,77,228,3138,3375,3422,5,208,197,16,552,3843,2,85,82,21,33,78,3,19,20,591,11,3908,7,10,17])).
% 68.14/68.28  cnf(6288,plain,
% 68.14/68.28     (E(f16(x62881,f23(a5)),f16(x62881,a11))),
% 68.14/68.28     inference(scs_inference,[],[6185,6183,6196,6128,5968,6172,6190,6192,6241,6243,6255,6200,6251,6253,6260,6263,5656,6157,5983,5768,5613,5963,95,5532,3782,55,4703,4707,15,8,12,91,9,13,89,6,3189,590,596,90,77,228,3138,3375,3422,5,208,197,16,552,3843,2,85,82,21,33,78,3,19,20,591,11,3908,7,10,17,18,4,14])).
% 68.14/68.28  cnf(6305,plain,
% 68.14/68.28     (E(f17(x63051,f23(a5)),f17(x63051,a11))),
% 68.14/68.28     inference(scs_inference,[],[6147,6277,6285,4643,15,8,91,12])).
% 68.14/68.28  cnf(6307,plain,
% 68.14/68.28     (E(f16(f23(a5),x63071),f16(a11,x63071))),
% 68.14/68.28     inference(scs_inference,[],[6147,6277,6285,4643,15,8,91,12,9,13])).
% 68.14/68.28  cnf(6311,plain,
% 68.14/68.28     (E(f17(f23(a5),x63111),f17(a11,x63111))),
% 68.14/68.28     inference(rename_variables,[],[6281])).
% 68.14/68.28  cnf(6314,plain,
% 68.14/68.28     (E(f17(x63141,f23(a5)),f17(x63141,a3))),
% 68.14/68.28     inference(rename_variables,[],[6232])).
% 68.14/68.28  cnf(6317,plain,
% 68.14/68.28     (P9(f17(a9,a11),a10,f23(a5))),
% 68.14/68.28     inference(scs_inference,[],[6249,6242,6147,6277,6232,6281,6285,4643,15,8,91,12,9,13,89,3189,6,3928,90,596])).
% 68.14/68.28  cnf(6319,plain,
% 68.14/68.28     (E(f17(f23(a5),x63191),f17(a11,x63191))),
% 68.14/68.28     inference(rename_variables,[],[6281])).
% 68.14/68.28  cnf(6321,plain,
% 68.14/68.28     (E(f16(x63211,f23(a5)),f16(x63211,a11))),
% 68.14/68.28     inference(rename_variables,[],[6288])).
% 68.14/68.28  cnf(6322,plain,
% 68.14/68.28     (P10(f16(a11,a1),f23(a5),a2)),
% 68.14/68.28     inference(scs_inference,[],[6249,6242,6147,6277,6232,6281,6311,6288,6285,4643,15,8,91,12,9,13,89,3189,6,3928,90,596,590,3138,228])).
% 68.14/68.28  cnf(6324,plain,
% 68.14/68.28     (E(f16(x63241,f23(a5)),f16(x63241,a11))),
% 68.14/68.28     inference(rename_variables,[],[6288])).
% 68.14/68.28  cnf(6326,plain,
% 68.14/68.28     (E(f17(x63261,f23(a5)),f17(x63261,a3))),
% 68.14/68.28     inference(rename_variables,[],[6232])).
% 68.14/68.28  cnf(6328,plain,
% 68.14/68.28     (E(f17(f23(a5),x63281),f17(a11,x63281))),
% 68.14/68.28     inference(rename_variables,[],[6281])).
% 68.14/68.28  cnf(6330,plain,
% 68.14/68.28     (E(f17(x63301,f23(a5)),f17(x63301,a3))),
% 68.14/68.28     inference(rename_variables,[],[6232])).
% 68.14/68.28  cnf(6335,plain,
% 68.14/68.28     (E(f16(f23(a5),x63351),f16(a3,x63351))),
% 68.14/68.28     inference(rename_variables,[],[6236])).
% 68.14/68.28  cnf(6337,plain,
% 68.14/68.28     (E(f16(f23(a5),x63371),f16(a3,x63371))),
% 68.14/68.28     inference(rename_variables,[],[6236])).
% 68.14/68.28  cnf(6339,plain,
% 68.14/68.28     (E(f16(f23(a5),x63391),f16(a3,x63391))),
% 68.14/68.28     inference(rename_variables,[],[6236])).
% 68.14/68.28  cnf(6344,plain,
% 68.14/68.28     (E(f16(x63441,f23(a5)),f16(x63441,a11))),
% 68.14/68.28     inference(rename_variables,[],[6288])).
% 68.14/68.28  cnf(6348,plain,
% 68.14/68.28     (E(f16(x63481,f23(a5)),f16(x63481,a11))),
% 68.14/68.28     inference(rename_variables,[],[6288])).
% 68.14/68.28  cnf(6351,plain,
% 68.14/68.28     (E(a11,f23(a5))),
% 68.14/68.28     inference(scs_inference,[],[6249,6242,6147,6277,6232,6314,6326,6330,6236,6335,6337,6339,6281,6311,6319,6328,6288,6321,6324,6344,6348,6285,4643,15,8,91,12,9,13,89,3189,6,3928,90,596,590,3138,228,3375,154,3422,3409,5,3177,3907,591,3402,208,16,197,3195,552,3843,2])).
% 68.14/68.28  cnf(6354,plain,
% 68.14/68.28     (~P2(a12,f21(f23(a5)))),
% 68.14/68.28     inference(scs_inference,[],[6249,6242,6147,6277,6232,6314,6326,6330,6236,6335,6337,6339,6281,6311,6319,6328,6288,6321,6324,6344,6348,6285,6054,6183,5378,5613,4643,15,8,91,12,9,13,89,3189,6,3928,90,596,590,3138,228,3375,154,3422,3409,5,3177,3907,591,3402,208,16,197,3195,552,3843,2,85,82])).
% 68.14/68.28  cnf(6359,plain,
% 68.14/68.28     (P2(x63591,f21(x63591))),
% 68.14/68.28     inference(rename_variables,[],[5963])).
% 68.14/68.28  cnf(6364,plain,
% 68.14/68.28     (E(f4(f23(a5),f23(a5)),f4(a3,a3))),
% 68.14/68.28     inference(scs_inference,[],[6226,6266,6249,6274,6242,6147,6277,6231,6232,6314,6326,6330,6235,6236,6335,6337,6339,6281,6311,6319,6328,6288,6321,6324,6344,6348,6285,6270,6054,6183,5446,5378,5613,5963,134,50,4643,15,8,91,12,9,13,89,3189,6,3928,90,596,590,3138,228,3375,154,3422,3409,5,3177,3907,591,3402,208,16,197,3195,552,3843,2,85,82,24,21,38,33,39,3])).
% 68.14/68.28  cnf(6370,plain,
% 68.14/68.28     (E(f17(a11,x63701),f17(f23(a5),x63701))),
% 68.14/68.28     inference(scs_inference,[],[6226,6266,6249,6274,6242,6147,6277,6231,6232,6314,6326,6330,6235,6236,6335,6337,6339,6281,6311,6319,6328,6288,6321,6324,6344,6348,6285,5686,6270,6054,6183,5446,5378,5613,5963,6359,134,50,4643,15,8,91,12,9,13,89,3189,6,3928,90,596,590,3138,228,3375,154,3422,3409,5,3177,3907,591,3402,208,16,197,3195,552,3843,2,85,82,24,21,38,33,39,3,19,20,11])).
% 68.14/68.28  cnf(6377,plain,
% 68.14/68.28     (E(f16(x63771,a11),f16(x63771,f23(a5)))),
% 68.14/68.28     inference(scs_inference,[],[6226,6266,6249,6274,6242,6147,6277,6231,6232,6314,6326,6330,6235,6236,6335,6337,6339,6281,6311,6319,6328,6288,6321,6324,6344,6348,6285,5686,6270,6054,6183,5446,5378,5613,5963,6359,134,50,4643,15,8,91,12,9,13,89,3189,6,3928,90,596,590,3138,228,3375,154,3422,3409,5,3177,3907,591,3402,208,16,197,3195,552,3843,2,85,82,24,21,38,33,39,3,19,20,11,7,3908,10,17,18,4,14])).
% 68.14/68.28  cnf(6388,plain,
% 68.14/68.28     (E(f17(x63881,a11),f17(x63881,f23(a5)))),
% 68.14/68.28     inference(scs_inference,[],[6168,6351,15,8,91,12])).
% 68.14/68.28  cnf(6392,plain,
% 68.14/68.28     (E(f16(a11,x63921),f16(f23(a5),x63921))),
% 68.14/68.28     inference(scs_inference,[],[6280,6168,6351,15,8,91,12,9,89,13])).
% 68.14/68.28  cnf(6395,plain,
% 68.14/68.28     (E(f17(x63951,f23(a5)),f17(x63951,a11))),
% 68.14/68.28     inference(rename_variables,[],[6305])).
% 68.14/68.28  cnf(6399,plain,
% 68.14/68.28     (E(f17(a11,x63991),f17(f23(a5),x63991))),
% 68.14/68.28     inference(rename_variables,[],[6370])).
% 68.14/68.28  cnf(6403,plain,
% 68.14/68.28     (E(f16(x64031,a11),f16(x64031,f23(a5)))),
% 68.14/68.28     inference(rename_variables,[],[6377])).
% 68.14/68.28  cnf(6405,plain,
% 68.14/68.28     (E(f17(x64051,f23(a5)),f17(x64051,a11))),
% 68.14/68.28     inference(rename_variables,[],[6305])).
% 68.14/68.28  cnf(6407,plain,
% 68.14/68.28     (E(f17(a11,x64071),f17(f23(a5),x64071))),
% 68.14/68.28     inference(rename_variables,[],[6370])).
% 68.14/68.28  cnf(6409,plain,
% 68.14/68.28     (E(f17(x64091,f23(a5)),f17(x64091,a11))),
% 68.14/68.28     inference(rename_variables,[],[6305])).
% 68.14/68.28  cnf(6411,plain,
% 68.14/68.28     (E(f16(f23(a5),x64111),f16(a11,x64111))),
% 68.14/68.28     inference(rename_variables,[],[6307])).
% 68.14/68.28  cnf(6416,plain,
% 68.14/68.28     (E(f16(f23(a5),x64161),f16(a11,x64161))),
% 68.14/68.28     inference(rename_variables,[],[6307])).
% 68.14/68.28  cnf(6418,plain,
% 68.14/68.28     (E(f16(f23(a5),x64181),f16(a11,x64181))),
% 68.14/68.28     inference(rename_variables,[],[6307])).
% 68.14/68.28  cnf(6422,plain,
% 68.14/68.28     (E(f16(x64221,a11),f16(x64221,f23(a5)))),
% 68.14/68.28     inference(rename_variables,[],[6377])).
% 68.14/68.28  cnf(6437,plain,
% 68.14/68.28     (E(f4(f23(a5),f23(a5)),f4(a3,a11))),
% 68.14/68.28     inference(scs_inference,[],[42,6244,5637,6280,6005,6168,5872,6351,6364,6305,6395,6405,6409,6307,6411,6416,6418,6370,6399,6407,6377,6403,6422,6354,6285,5624,5773,6183,5963,15,8,91,12,9,89,13,6,3928,90,590,596,228,3375,154,3422,3409,3907,3177,5,591,3402,208,197,16,3195,552,2,85,82,31,21,33,3])).
% 68.14/68.28  cnf(6454,plain,
% 68.14/68.28     (E(f17(x64541,a11),f17(x64541,f23(a5)))),
% 68.14/68.28     inference(rename_variables,[],[6388])).
% 68.14/68.28  cnf(6458,plain,
% 68.14/68.28     (E(f16(a11,x64581),f16(f23(a5),x64581))),
% 68.14/68.28     inference(rename_variables,[],[6392])).
% 68.14/68.28  cnf(6464,plain,
% 68.14/68.28     ($false),
% 68.14/68.28     inference(scs_inference,[],[6317,6322,6237,6437,6388,6454,6392,6458,6198,5768,5454,5613,91,89,90,154,3409,3402,591,2,85,21]),
% 68.14/68.28     ['proof']).
% 68.14/68.28  % SZS output end Proof
% 68.14/68.28  % Total time :67.650000s
%------------------------------------------------------------------------------