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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SEU114+1 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 15:01:05 EDT 2024

% Result   : Theorem 180.83s 180.81s
% Output   : CNFRefutation 180.83s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SEU114+1 : TPTP v8.2.0. Released v3.2.0.
% 0.10/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32  % Computer : n028.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Fri Jun 21 17:01:39 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.19/0.57  start to proof:theBenchmark
% 180.83/180.78  %-------------------------------------------
% 180.83/180.78  % File        :CSE---1.7
% 180.83/180.78  % Problem     :theBenchmark
% 180.83/180.78  % Transform   :cnf
% 180.83/180.78  % Format      :tptp:raw
% 180.83/180.78  % Command     :java -jar mcs_scs.jar %d %s
% 180.83/180.78  
% 180.83/180.78  % Result      :Theorem 180.170000s
% 180.83/180.78  % Output      :CNFRefutation 180.170000s
% 180.83/180.78  %-------------------------------------------
% 180.83/180.80  %------------------------------------------------------------------------------
% 180.83/180.80  % File     : SEU114+1 : TPTP v8.2.0. Released v3.2.0.
% 180.83/180.80  % Domain   : Set theory
% 180.83/180.80  % Problem  : Boolean domains, theorem 27
% 180.83/180.80  % Version  : [Urb06] axioms : Especial.
% 180.83/180.80  % English  :
% 180.83/180.80  
% 180.83/180.80  % Refs     : [TD90]  Trybulec & Darmochwal (1990), Boolean Domains
% 180.83/180.80  %          : [Urb06] Urban (2006), Email to G. Sutcliffe
% 180.83/180.80  % Source   : [Urb06]
% 180.83/180.80  % Names    : finsub_1__t27_finsub_1 [Urb06]
% 180.83/180.80  
% 180.83/180.80  % Status   : Theorem
% 180.83/180.80  % Rating   : 0.25 v8.2.0, 0.22 v8.1.0, 0.25 v7.4.0, 0.20 v7.3.0, 0.21 v7.2.0, 0.17 v7.1.0, 0.13 v7.0.0, 0.20 v6.4.0, 0.27 v6.3.0, 0.21 v6.2.0, 0.32 v6.1.0, 0.37 v6.0.0, 0.30 v5.5.0, 0.44 v5.4.0, 0.46 v5.3.0, 0.48 v5.2.0, 0.30 v5.1.0, 0.38 v5.0.0, 0.42 v4.1.0, 0.43 v4.0.1, 0.52 v4.0.0, 0.50 v3.7.0, 0.40 v3.5.0, 0.42 v3.3.0, 0.50 v3.2.0
% 180.83/180.80  % Syntax   : Number of formulae    :   36 (   8 unt;   0 def)
% 180.83/180.80  %            Number of atoms       :   97 (   5 equ)
% 180.83/180.80  %            Maximal formula atoms :   10 (   2 avg)
% 180.83/180.80  %            Number of connectives :   78 (  17   ~;   1   |;  37   &)
% 180.83/180.80  %                                         (   5 <=>;  18  =>;   0  <=;   0 <~>)
% 180.83/180.80  %            Maximal formula depth :   12 (   5 avg)
% 180.83/180.80  %            Maximal term depth    :    2 (   1 avg)
% 180.83/180.80  %            Number of predicates  :   17 (  16 usr;   0 prp; 1-2 aty)
% 180.83/180.80  %            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
% 180.83/180.80  %            Number of variables   :   60 (  50   !;  10   ?)
% 180.83/180.80  % SPC      : FOF_THM_RFO_SEQ
% 180.83/180.80  
% 180.83/180.80  % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 180.83/180.80  %            library, www.mizar.org
% 180.83/180.80  %------------------------------------------------------------------------------
% 180.83/180.80  fof(antisymmetry_r2_hidden,axiom,
% 180.83/180.80      ! [A,B] :
% 180.83/180.80        ( in(A,B)
% 180.83/180.80       => ~ in(B,A) ) ).
% 180.83/180.80  
% 180.83/180.80  fof(cc1_finset_1,axiom,
% 180.83/180.80      ! [A] :
% 180.83/180.80        ( empty(A)
% 180.83/180.80       => finite(A) ) ).
% 180.83/180.80  
% 180.83/180.80  fof(cc1_finsub_1,axiom,
% 180.83/180.80      ! [A] :
% 180.83/180.80        ( preboolean(A)
% 180.83/180.80       => ( cup_closed(A)
% 180.83/180.80          & diff_closed(A) ) ) ).
% 180.83/180.80  
% 180.83/180.80  fof(cc2_finset_1,axiom,
% 180.83/180.80      ! [A] :
% 180.83/180.80        ( finite(A)
% 180.83/180.80       => ! [B] :
% 180.83/180.80            ( element(B,powerset(A))
% 180.83/180.80           => finite(B) ) ) ).
% 180.83/180.80  
% 180.83/180.80  fof(cc2_finsub_1,axiom,
% 180.83/180.80      ! [A] :
% 180.83/180.80        ( ( cup_closed(A)
% 180.83/180.80          & diff_closed(A) )
% 180.83/180.80       => preboolean(A) ) ).
% 180.83/180.80  
% 180.83/180.80  fof(cc3_finsub_1,axiom,
% 180.83/180.80      ! [A,B] :
% 180.83/180.80        ( element(B,finite_subsets(A))
% 180.83/180.80       => finite(B) ) ).
% 180.83/180.80  
% 180.83/180.80  fof(d10_xboole_0,axiom,
% 180.83/180.80      ! [A,B] :
% 180.83/180.80        ( A = B
% 180.83/180.80      <=> ( subset(A,B)
% 180.83/180.80          & subset(B,A) ) ) ).
% 180.83/180.80  
% 180.83/180.80  fof(d3_tarski,axiom,
% 180.83/180.80      ! [A,B] :
% 180.83/180.80        ( subset(A,B)
% 180.83/180.80      <=> ! [C] :
% 180.83/180.80            ( in(C,A)
% 180.83/180.80           => in(C,B) ) ) ).
% 180.83/180.80  
% 180.83/180.80  fof(d5_finsub_1,axiom,
% 180.83/180.80      ! [A,B] :
% 180.83/180.80        ( preboolean(B)
% 180.83/180.80       => ( B = finite_subsets(A)
% 180.83/180.80        <=> ! [C] :
% 180.83/180.80              ( in(C,B)
% 180.83/180.80            <=> ( subset(C,A)
% 180.83/180.80                & finite(C) ) ) ) ) ).
% 180.83/180.80  
% 180.83/180.80  fof(dt_k5_finsub_1,axiom,
% 180.83/180.80      ! [A] : preboolean(finite_subsets(A)) ).
% 180.83/180.80  
% 180.83/180.80  fof(existence_m1_subset_1,axiom,
% 180.83/180.80      ! [A] :
% 180.83/180.80      ? [B] : element(B,A) ).
% 180.83/180.80  
% 180.83/180.80  fof(fc1_finsub_1,axiom,
% 180.83/180.80      ! [A] :
% 180.83/180.80        ( ~ empty(powerset(A))
% 180.83/180.80        & cup_closed(powerset(A))
% 180.83/180.80        & diff_closed(powerset(A))
% 180.83/180.81        & preboolean(powerset(A)) ) ).
% 180.83/180.81  
% 180.83/180.81  fof(fc1_subset_1,axiom,
% 180.83/180.81      ! [A] : ~ empty(powerset(A)) ).
% 180.83/180.81  
% 180.83/180.81  fof(fc1_xboole_0,axiom,
% 180.83/180.81      empty(empty_set) ).
% 180.83/180.81  
% 180.83/180.81  fof(fc2_finsub_1,axiom,
% 180.83/180.81      ! [A] :
% 180.83/180.81        ( ~ empty(finite_subsets(A))
% 180.83/180.81        & cup_closed(finite_subsets(A))
% 180.83/180.81        & diff_closed(finite_subsets(A))
% 180.83/180.81        & preboolean(finite_subsets(A)) ) ).
% 180.83/180.81  
% 180.83/180.81  fof(rc1_finset_1,axiom,
% 180.83/180.81      ? [A] :
% 180.83/180.81        ( ~ empty(A)
% 180.83/180.81        & finite(A) ) ).
% 180.83/180.81  
% 180.83/180.81  fof(rc1_finsub_1,axiom,
% 180.83/180.81      ? [A] :
% 180.83/180.81        ( ~ empty(A)
% 180.83/180.81        & cup_closed(A)
% 180.83/180.81        & cap_closed(A)
% 180.83/180.81        & diff_closed(A)
% 180.83/180.81        & preboolean(A) ) ).
% 180.83/180.81  
% 180.83/180.81  fof(rc1_subset_1,axiom,
% 180.83/180.81      ! [A] :
% 180.83/180.81        ( ~ empty(A)
% 180.83/180.81       => ? [B] :
% 180.83/180.81            ( element(B,powerset(A))
% 180.83/180.81            & ~ empty(B) ) ) ).
% 180.83/180.81  
% 180.83/180.81  fof(rc1_xboole_0,axiom,
% 180.83/180.81      ? [A] : empty(A) ).
% 180.83/180.81  
% 180.83/180.81  fof(rc2_finset_1,axiom,
% 180.83/180.81      ! [A] :
% 180.83/180.81      ? [B] :
% 180.83/180.81        ( element(B,powerset(A))
% 180.83/180.81        & empty(B)
% 180.83/180.81        & relation(B)
% 180.83/180.81        & function(B)
% 180.83/180.81        & one_to_one(B)
% 180.83/180.81        & epsilon_transitive(B)
% 180.83/180.81        & epsilon_connected(B)
% 180.83/180.81        & ordinal(B)
% 180.83/180.81        & natural(B)
% 180.83/180.81        & finite(B) ) ).
% 180.83/180.81  
% 180.83/180.81  fof(rc2_subset_1,axiom,
% 180.83/180.81      ! [A] :
% 180.83/180.81      ? [B] :
% 180.83/180.81        ( element(B,powerset(A))
% 180.83/180.81        & empty(B) ) ).
% 180.83/180.81  
% 180.83/180.81  fof(rc2_xboole_0,axiom,
% 180.83/180.81      ? [A] : ~ empty(A) ).
% 180.83/180.81  
% 180.83/180.81  fof(rc3_finset_1,axiom,
% 180.83/180.81      ! [A] :
% 180.83/180.81        ( ~ empty(A)
% 180.83/180.81       => ? [B] :
% 180.83/180.81            ( element(B,powerset(A))
% 180.83/180.81            & ~ empty(B)
% 180.83/180.81            & finite(B) ) ) ).
% 180.83/180.81  
% 180.83/180.81  fof(rc4_finset_1,axiom,
% 180.83/180.81      ! [A] :
% 180.83/180.81        ( ~ empty(A)
% 180.83/180.81       => ? [B] :
% 180.83/180.81            ( element(B,powerset(A))
% 180.83/180.81            & ~ empty(B)
% 180.83/180.81            & finite(B) ) ) ).
% 180.83/180.81  
% 180.83/180.81  fof(reflexivity_r1_tarski,axiom,
% 180.83/180.81      ! [A,B] : subset(A,A) ).
% 180.83/180.81  
% 180.83/180.81  fof(t13_finset_1,axiom,
% 180.83/180.81      ! [A,B] :
% 180.83/180.81        ( ( subset(A,B)
% 180.83/180.81          & finite(B) )
% 180.83/180.81       => finite(A) ) ).
% 180.83/180.81  
% 180.83/180.81  fof(t1_subset,axiom,
% 180.83/180.81      ! [A,B] :
% 180.83/180.81        ( in(A,B)
% 180.83/180.81       => element(A,B) ) ).
% 180.83/180.81  
% 180.83/180.81  fof(t26_finsub_1,axiom,
% 180.83/180.81      ! [A] : subset(finite_subsets(A),powerset(A)) ).
% 180.83/180.81  
% 180.83/180.81  fof(t27_finsub_1,conjecture,
% 180.83/180.81      ! [A] :
% 180.83/180.81        ( finite(A)
% 180.83/180.81       => finite_subsets(A) = powerset(A) ) ).
% 180.83/180.81  
% 180.83/180.81  fof(t2_subset,axiom,
% 180.83/180.81      ! [A,B] :
% 180.83/180.81        ( element(A,B)
% 180.83/180.81       => ( empty(B)
% 180.83/180.81          | in(A,B) ) ) ).
% 180.83/180.81  
% 180.83/180.81  fof(t3_subset,axiom,
% 180.83/180.81      ! [A,B] :
% 180.83/180.81        ( element(A,powerset(B))
% 180.83/180.81      <=> subset(A,B) ) ).
% 180.83/180.81  
% 180.83/180.81  fof(t4_subset,axiom,
% 180.83/180.81      ! [A,B,C] :
% 180.83/180.81        ( ( in(A,B)
% 180.83/180.81          & element(B,powerset(C)) )
% 180.83/180.81       => element(A,C) ) ).
% 180.83/180.81  
% 180.83/180.81  fof(t5_subset,axiom,
% 180.83/180.81      ! [A,B,C] :
% 180.83/180.81        ~ ( in(A,B)
% 180.83/180.81          & element(B,powerset(C))
% 180.83/180.81          & empty(C) ) ).
% 180.83/180.81  
% 180.83/180.81  fof(t6_boole,axiom,
% 180.83/180.81      ! [A] :
% 180.83/180.81        ( empty(A)
% 180.83/180.81       => A = empty_set ) ).
% 180.83/180.81  
% 180.83/180.81  fof(t7_boole,axiom,
% 180.83/180.81      ! [A,B] :
% 180.83/180.81        ~ ( in(A,B)
% 180.83/180.81          & empty(B) ) ).
% 180.83/180.81  
% 180.83/180.81  fof(t8_boole,axiom,
% 180.83/180.81      ! [A,B] :
% 180.83/180.81        ~ ( empty(A)
% 180.83/180.81          & A != B
% 180.83/180.81          & empty(B) ) ).
% 180.83/180.81  
% 180.83/180.81  %------------------------------------------------------------------------------
% 180.83/180.81  %-------------------------------------------
% 180.83/180.81  % Proof found
% 180.83/180.81  % SZS status Theorem for theBenchmark
% 180.83/180.81  % SZS output start Proof
% 180.83/180.81  %ClaNum:108(EqnAxiom:34)
% 180.83/180.81  %VarNum:183(SingletonVarNum:88)
% 180.83/180.81  %MaxLitNum:5
% 180.83/180.81  %MaxfuncDepth:1
% 180.83/180.81  %SharedTerms:20
% 180.83/180.81  %goalClause: 38 68
% 180.83/180.81  %singleGoalClaCount:2
% 180.83/180.81  [35]P1(a1)
% 180.83/180.81  [36]P1(a2)
% 180.83/180.81  [37]P6(a3)
% 180.83/180.81  [38]P6(a4)
% 180.83/180.81  [39]P9(a11)
% 180.83/180.81  [40]P2(a11)
% 180.83/180.81  [41]P4(a11)
% 180.83/180.81  [42]P3(a11)
% 180.83/180.81  [65]~P1(a3)
% 180.83/180.81  [66]~P1(a11)
% 180.83/180.81  [67]~P1(a5)
% 180.83/180.81  [68]~E(f16(a4),f15(a4))
% 180.83/180.81  [60]P16(x601,x601)
% 180.83/180.81  [43]P1(f13(x431))
% 180.83/180.81  [44]P1(f14(x441))
% 180.83/180.81  [45]P6(f13(x451))
% 180.83/180.81  [46]P9(f15(x461))
% 180.83/180.81  [48]P9(f16(x481))
% 180.83/180.81  [49]P2(f15(x491))
% 180.83/180.81  [50]P2(f16(x501))
% 180.83/180.81  [51]P4(f15(x511))
% 180.83/180.81  [52]P4(f16(x521))
% 180.83/180.81  [53]P15(f13(x531))
% 180.83/180.81  [54]P10(f13(x541))
% 180.83/180.81  [55]P11(f13(x551))
% 180.83/180.81  [56]P7(f13(x561))
% 180.83/180.81  [57]P8(f13(x571))
% 180.83/180.81  [58]P14(f13(x581))
% 180.83/180.81  [59]P12(f13(x591))
% 180.83/180.81  [61]P5(f8(x611),x611)
% 180.83/180.81  [62]P5(f13(x621),f15(x621))
% 180.83/180.81  [63]P5(f14(x631),f15(x631))
% 180.83/180.81  [64]P16(f16(x641),f15(x641))
% 180.83/180.81  [70]~P1(f15(x701))
% 180.83/180.81  [71]~P1(f16(x711))
% 180.83/180.81  [72]~P1(x721)+E(x721,a1)
% 180.83/180.81  [73]~P1(x731)+P6(x731)
% 180.83/180.81  [74]~P9(x741)+P2(x741)
% 180.83/180.81  [75]~P9(x751)+P4(x751)
% 180.83/180.81  [76]P1(x761)+P6(f6(x761))
% 180.83/180.81  [77]P1(x771)+P6(f7(x771))
% 180.83/180.81  [82]P1(x821)+~P1(f12(x821))
% 180.83/180.81  [83]P1(x831)+~P1(f6(x831))
% 180.83/180.81  [84]P1(x841)+~P1(f7(x841))
% 180.83/180.81  [86]P1(x861)+P5(f12(x861),f15(x861))
% 180.83/180.81  [87]P1(x871)+P5(f6(x871),f15(x871))
% 180.83/180.81  [88]P1(x881)+P5(f7(x881),f15(x881))
% 180.83/180.81  [80]~E(x801,x802)+P16(x801,x802)
% 180.83/180.81  [85]~P1(x851)+~P13(x852,x851)
% 180.83/180.81  [91]~P13(x911,x912)+P5(x911,x912)
% 180.83/180.81  [96]~P13(x962,x961)+~P13(x961,x962)
% 180.83/180.81  [90]P6(x901)+~P5(x901,f16(x902))
% 180.83/180.81  [94]~P16(x941,x942)+P5(x941,f15(x942))
% 180.83/180.81  [97]P16(x971,x972)+~P5(x971,f15(x972))
% 180.83/180.81  [100]P16(x1001,x1002)+P13(f9(x1001,x1002),x1001)
% 180.83/180.81  [105]P16(x1051,x1052)+~P13(f9(x1051,x1052),x1052)
% 180.83/180.81  [81]~P2(x811)+~P4(x811)+P9(x811)
% 180.83/180.81  [78]~P1(x782)+~P1(x781)+E(x781,x782)
% 180.83/180.81  [89]~P16(x891,x892)+P6(x891)+~P6(x892)
% 180.83/180.81  [92]~P5(x922,x921)+P1(x921)+P13(x922,x921)
% 180.83/180.81  [98]~P16(x982,x981)+~P16(x981,x982)+E(x981,x982)
% 180.83/180.81  [95]P6(x951)+~P6(x952)+~P5(x951,f15(x952))
% 180.83/180.81  [101]~P16(x1013,x1012)+P13(x1011,x1012)+~P13(x1011,x1013)
% 180.83/180.81  [103]~P1(x1031)+~P13(x1032,x1033)+~P5(x1033,f15(x1031))
% 180.83/180.81  [104]P5(x1041,x1042)+~P13(x1041,x1043)+~P5(x1043,f15(x1042))
% 180.83/180.82  [106]~P9(x1061)+P13(f10(x1062,x1061),x1061)+E(x1061,f16(x1062))+P6(f10(x1062,x1061))
% 180.83/180.82  [107]~P9(x1071)+P13(f10(x1072,x1071),x1071)+P16(f10(x1072,x1071),x1072)+E(x1071,f16(x1072))
% 180.83/180.82  [93]~P9(x932)+~P13(x931,x932)+P6(x931)+~E(x932,f16(x933))
% 180.83/180.82  [99]~P9(x993)+~P13(x991,x993)+P16(x991,x992)+~E(x993,f16(x992))
% 180.83/180.82  [108]~P9(x1081)+~P13(f10(x1082,x1081),x1081)+~P16(f10(x1082,x1081),x1082)+E(x1081,f16(x1082))+~P6(f10(x1082,x1081))
% 180.83/180.82  [102]~P6(x1021)+~P9(x1022)+~P16(x1021,x1023)+P13(x1021,x1022)+~E(x1022,f16(x1023))
% 180.83/180.82  %EqnAxiom
% 180.83/180.82  [1]E(x11,x11)
% 180.83/180.82  [2]E(x22,x21)+~E(x21,x22)
% 180.83/180.82  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 180.83/180.82  [4]~E(x41,x42)+E(f13(x41),f13(x42))
% 180.83/180.82  [5]~E(x51,x52)+E(f14(x51),f14(x52))
% 180.83/180.82  [6]~E(x61,x62)+E(f10(x61,x63),f10(x62,x63))
% 180.83/180.82  [7]~E(x71,x72)+E(f10(x73,x71),f10(x73,x72))
% 180.83/180.82  [8]~E(x81,x82)+E(f15(x81),f15(x82))
% 180.83/180.82  [9]~E(x91,x92)+E(f16(x91),f16(x92))
% 180.83/180.82  [10]~E(x101,x102)+E(f6(x101),f6(x102))
% 180.83/180.82  [11]~E(x111,x112)+E(f7(x111),f7(x112))
% 180.83/180.82  [12]~E(x121,x122)+E(f12(x121),f12(x122))
% 180.83/180.82  [13]~E(x131,x132)+E(f9(x131,x133),f9(x132,x133))
% 180.83/180.82  [14]~E(x141,x142)+E(f9(x143,x141),f9(x143,x142))
% 180.83/180.82  [15]~E(x151,x152)+E(f8(x151),f8(x152))
% 180.83/180.82  [16]~P1(x161)+P1(x162)+~E(x161,x162)
% 180.83/180.82  [17]P16(x172,x173)+~E(x171,x172)+~P16(x171,x173)
% 180.83/180.82  [18]P16(x183,x182)+~E(x181,x182)+~P16(x183,x181)
% 180.83/180.82  [19]~P6(x191)+P6(x192)+~E(x191,x192)
% 180.83/180.82  [20]~P9(x201)+P9(x202)+~E(x201,x202)
% 180.83/180.82  [21]P5(x212,x213)+~E(x211,x212)+~P5(x211,x213)
% 180.83/180.82  [22]P5(x223,x222)+~E(x221,x222)+~P5(x223,x221)
% 180.83/180.82  [23]~P2(x231)+P2(x232)+~E(x231,x232)
% 180.83/180.82  [24]~P4(x241)+P4(x242)+~E(x241,x242)
% 180.83/180.82  [25]~P3(x251)+P3(x252)+~E(x251,x252)
% 180.83/180.82  [26]P13(x262,x263)+~E(x261,x262)+~P13(x261,x263)
% 180.83/180.82  [27]P13(x273,x272)+~E(x271,x272)+~P13(x273,x271)
% 180.83/180.82  [28]~P12(x281)+P12(x282)+~E(x281,x282)
% 180.83/180.82  [29]~P14(x291)+P14(x292)+~E(x291,x292)
% 180.83/180.82  [30]~P8(x301)+P8(x302)+~E(x301,x302)
% 180.83/180.82  [31]~P7(x311)+P7(x312)+~E(x311,x312)
% 180.83/180.82  [32]~P11(x321)+P11(x322)+~E(x321,x322)
% 180.83/180.82  [33]~P10(x331)+P10(x332)+~E(x331,x332)
% 180.83/180.82  [34]~P15(x341)+P15(x342)+~E(x341,x342)
% 180.83/180.82  
% 180.83/180.82  %-------------------------------------------
% 180.83/180.83  cnf(110,plain,
% 180.83/180.83     (P6(x1101)+~P9(f16(x1102))+~P13(x1101,f16(x1102))),
% 180.83/180.83     inference(equality_inference,[],[93])).
% 180.83/180.83  cnf(111,plain,
% 180.83/180.83     (~P9(f16(x1111))+~P13(x1112,f16(x1111))+P16(x1112,x1111)),
% 180.83/180.83     inference(equality_inference,[],[99])).
% 180.83/180.83  cnf(112,plain,
% 180.83/180.83     (P13(x1121,f16(x1122))+~P6(x1121)+~P16(x1121,x1122)+~P9(f16(x1122))),
% 180.83/180.83     inference(equality_inference,[],[102])).
% 180.83/180.83  cnf(113,plain,
% 180.83/180.83     (~P13(x1131,a1)),
% 180.83/180.83     inference(scs_inference,[],[35,85])).
% 180.83/180.83  cnf(115,plain,
% 180.83/180.83     (P6(f8(f16(x1151)))),
% 180.83/180.83     inference(scs_inference,[],[61,35,85,90])).
% 180.83/180.83  cnf(116,plain,
% 180.83/180.83     (P5(f8(x1161),x1161)),
% 180.83/180.83     inference(rename_variables,[],[61])).
% 180.83/180.83  cnf(118,plain,
% 180.83/180.83     (P16(f8(f15(x1181)),x1181)),
% 180.83/180.83     inference(scs_inference,[],[61,116,35,85,90,97])).
% 180.83/180.83  cnf(119,plain,
% 180.83/180.83     (P5(f8(x1191),x1191)),
% 180.83/180.83     inference(rename_variables,[],[61])).
% 180.83/180.83  cnf(121,plain,
% 180.83/180.83     (P16(a1,x1211)),
% 180.83/180.83     inference(scs_inference,[],[61,116,35,85,90,97,100])).
% 180.83/180.83  cnf(123,plain,
% 180.83/180.83     (P6(f8(f15(a4)))),
% 180.83/180.83     inference(scs_inference,[],[38,61,116,119,35,85,90,97,100,95])).
% 180.83/180.83  cnf(124,plain,
% 180.83/180.83     (P5(f8(x1241),x1241)),
% 180.83/180.83     inference(rename_variables,[],[61])).
% 180.83/180.83  cnf(126,plain,
% 180.83/180.83     (~P16(f15(a4),f16(a4))),
% 180.83/180.83     inference(scs_inference,[],[38,68,61,116,119,64,35,85,90,97,100,95,98])).
% 180.83/180.83  cnf(129,plain,
% 180.83/180.83     (P13(f8(a3),a3)),
% 180.83/180.83     inference(scs_inference,[],[38,68,61,116,119,124,64,35,65,85,90,97,100,95,98,92])).
% 180.83/180.83  cnf(130,plain,
% 180.83/180.83     (P5(f8(x1301),x1301)),
% 180.83/180.83     inference(rename_variables,[],[61])).
% 180.83/180.83  cnf(132,plain,
% 180.83/180.83     (~P13(x1321,f8(f15(a1)))),
% 180.83/180.83     inference(scs_inference,[],[38,68,61,116,119,124,130,64,35,65,85,90,97,100,95,98,92,103])).
% 180.83/180.83  cnf(133,plain,
% 180.83/180.83     (P5(f8(x1331),x1331)),
% 180.83/180.83     inference(rename_variables,[],[61])).
% 180.83/180.83  cnf(135,plain,
% 180.83/180.83     (~P13(f15(a4),f16(f16(a4)))),
% 180.83/180.83     inference(scs_inference,[],[38,68,61,116,119,124,130,64,35,48,65,85,90,97,100,95,98,92,103,111])).
% 180.83/180.83  cnf(136,plain,
% 180.83/180.83     (P9(f16(x1361))),
% 180.83/180.83     inference(rename_variables,[],[48])).
% 180.83/180.83  cnf(138,plain,
% 180.83/180.83     (~E(a1,f15(a4))),
% 180.83/180.83     inference(scs_inference,[],[38,68,61,116,119,124,130,64,35,48,65,85,90,97,100,95,98,92,103,111,17])).
% 180.83/180.83  cnf(140,plain,
% 180.83/180.83     (P16(x1401,x1401)),
% 180.83/180.83     inference(rename_variables,[],[60])).
% 180.83/180.83  cnf(141,plain,
% 180.83/180.83     (~E(a3,f8(f15(a1)))),
% 180.83/180.83     inference(scs_inference,[],[38,68,60,61,116,119,124,130,64,35,48,65,85,90,97,100,95,98,92,103,111,17,18,27])).
% 180.83/180.83  cnf(142,plain,
% 180.83/180.83     (P13(a4,f16(a4))),
% 180.83/180.83     inference(scs_inference,[],[38,68,60,140,61,116,119,124,130,64,35,48,136,65,85,90,97,100,95,98,92,103,111,17,18,27,112])).
% 180.83/180.83  cnf(146,plain,
% 180.83/180.83     (~P13(a3,f8(a3))),
% 180.83/180.83     inference(scs_inference,[],[38,68,60,140,61,116,119,124,130,64,35,48,136,65,85,90,97,100,95,98,92,103,111,17,18,27,112,96])).
% 180.83/180.83  cnf(148,plain,
% 180.83/180.83     (P5(x1481,x1482)+~P13(x1481,f8(f15(x1482)))),
% 180.83/180.83     inference(scs_inference,[],[38,68,60,140,61,116,119,124,130,133,64,35,48,136,65,85,90,97,100,95,98,92,103,111,17,18,27,112,96,104])).
% 180.83/180.83  cnf(149,plain,
% 180.83/180.83     (P5(f8(x1491),x1491)),
% 180.83/180.83     inference(rename_variables,[],[61])).
% 180.83/180.83  cnf(151,plain,
% 180.83/180.83     (P5(x1511,x1512)+~E(f8(x1512),x1511)),
% 180.83/180.83     inference(scs_inference,[],[38,68,60,140,61,116,119,124,130,133,149,64,35,48,136,65,85,90,97,100,95,98,92,103,111,17,18,27,112,96,104,21])).
% 180.83/180.83  cnf(152,plain,
% 180.83/180.83     (P5(f8(x1521),x1522)+~E(x1521,x1522)),
% 180.83/180.84     inference(scs_inference,[],[38,68,60,140,61,116,119,124,130,133,149,64,35,48,136,65,85,90,97,100,95,98,92,103,111,17,18,27,112,96,104,21,22])).
% 180.83/180.84  cnf(160,plain,
% 180.83/180.84     (~P13(x1601,a2)),
% 180.83/180.84     inference(scs_inference,[],[36,85])).
% 180.83/180.84  cnf(164,plain,
% 180.83/180.84     (P16(f13(x1641),x1641)),
% 180.83/180.84     inference(scs_inference,[],[142,62,36,85,96,97])).
% 180.83/180.84  cnf(166,plain,
% 180.83/180.84     (P13(f8(a11),a11)),
% 180.83/180.84     inference(scs_inference,[],[142,62,36,61,66,85,96,97,92])).
% 180.83/180.84  cnf(167,plain,
% 180.83/180.84     (P5(f8(x1671),x1671)),
% 180.83/180.84     inference(rename_variables,[],[61])).
% 180.83/180.84  cnf(169,plain,
% 180.83/180.84     (E(f8(f15(a1)),a1)),
% 180.83/180.84     inference(scs_inference,[],[142,118,121,62,36,61,66,85,96,97,92,98])).
% 180.83/180.84  cnf(173,plain,
% 180.83/180.84     (~P13(x1731,f13(a2))),
% 180.83/180.84     inference(scs_inference,[],[142,118,121,62,36,61,66,85,96,97,92,98,103])).
% 180.83/180.84  cnf(178,plain,
% 180.83/180.84     (P6(f14(a4))),
% 180.83/180.84     inference(scs_inference,[],[38,142,118,132,121,62,63,36,61,66,85,96,97,92,98,103,27,95])).
% 180.83/180.84  cnf(181,plain,
% 180.83/180.84     (P5(a1,f15(a1))),
% 180.83/180.84     inference(scs_inference,[],[38,142,118,132,121,62,63,36,61,167,66,85,96,97,92,98,103,27,95,21])).
% 180.83/180.84  cnf(183,plain,
% 180.83/180.84     (P13(a3,f16(a3))),
% 180.83/180.84     inference(scs_inference,[],[38,142,60,118,132,121,62,63,36,37,61,167,48,66,85,96,97,92,98,103,27,95,21,112])).
% 180.83/180.84  cnf(187,plain,
% 180.83/180.84     (E(a1,f8(f15(a1)))),
% 180.83/180.84     inference(scs_inference,[],[38,142,60,118,132,121,62,63,36,37,61,167,48,66,85,96,97,92,98,103,27,95,21,112,2])).
% 180.83/180.84  cnf(188,plain,
% 180.83/180.84     (P5(f8(a1),f8(f15(a1)))),
% 180.83/180.84     inference(scs_inference,[],[38,142,60,118,132,121,62,63,36,37,61,167,48,66,85,96,97,92,98,103,27,95,21,112,2,152])).
% 180.83/180.84  cnf(189,plain,
% 180.83/180.84     (P16(a2,x1891)),
% 180.83/180.84     inference(scs_inference,[],[38,142,60,118,132,121,62,63,36,37,61,167,48,66,85,96,97,92,98,103,27,95,21,112,2,152,100])).
% 180.83/180.84  cnf(191,plain,
% 180.83/180.84     (~E(a3,a1)),
% 180.83/180.84     inference(scs_inference,[],[38,142,60,118,132,121,62,63,141,36,37,61,167,48,66,85,96,97,92,98,103,27,95,21,112,2,152,100,3])).
% 180.83/180.84  cnf(192,plain,
% 180.83/180.84     (~P6(f8(f15(a1)))+P6(a1)),
% 180.83/180.84     inference(scs_inference,[],[38,142,60,118,132,121,62,63,141,36,37,61,167,48,66,85,96,97,92,98,103,27,95,21,112,2,152,100,3,19])).
% 180.83/180.84  cnf(204,plain,
% 180.83/180.84     (P16(f13(a2),x2041)),
% 180.83/180.84     inference(scs_inference,[],[173,100])).
% 180.83/180.84  cnf(205,plain,
% 180.83/180.84     (~P13(x2051,f13(a2))),
% 180.83/180.84     inference(rename_variables,[],[173])).
% 180.83/180.84  cnf(207,plain,
% 180.83/180.84     (~P13(x2071,f13(x2072))),
% 180.83/180.84     inference(scs_inference,[],[173,43,100,85])).
% 180.83/180.84  cnf(209,plain,
% 180.83/180.84     (~P13(f16(a3),a3)),
% 180.83/180.84     inference(scs_inference,[],[183,173,43,100,85,96])).
% 180.83/180.84  cnf(211,plain,
% 180.83/180.84     (P16(f14(x2111),x2111)),
% 180.83/180.84     inference(scs_inference,[],[183,173,43,63,100,85,96,97])).
% 180.83/180.84  cnf(213,plain,
% 180.83/180.84     (P13(f8(a5),a5)),
% 180.83/180.84     inference(scs_inference,[],[183,173,43,63,61,67,100,85,96,97,92])).
% 180.83/180.84  cnf(219,plain,
% 180.83/180.84     (E(f13(a2),a2)),
% 180.83/180.84     inference(scs_inference,[],[183,164,173,189,43,63,61,67,100,85,96,97,92,103,98])).
% 180.83/180.84  cnf(220,plain,
% 180.83/180.84     (P16(f13(x2201),x2201)),
% 180.83/180.84     inference(rename_variables,[],[164])).
% 180.83/180.84  cnf(223,plain,
% 180.83/180.84     (~E(f16(a3),f13(a2))),
% 180.83/180.84     inference(scs_inference,[],[183,164,173,205,189,43,63,61,67,100,85,96,97,92,103,98,27])).
% 180.83/180.84  cnf(225,plain,
% 180.83/180.84     (P12(a2)),
% 180.83/180.84     inference(scs_inference,[],[183,164,173,205,189,43,63,61,67,59,100,85,96,97,92,103,98,27,28])).
% 180.83/180.84  cnf(227,plain,
% 180.83/180.84     (P1(f8(f15(a1)))),
% 180.83/180.84     inference(scs_inference,[],[187,183,164,173,205,189,43,63,61,35,67,59,100,85,96,97,92,103,98,27,28,16])).
% 180.83/180.84  cnf(228,plain,
% 180.83/180.84     (P16(f14(f13(a2)),a2)),
% 180.83/180.84     inference(scs_inference,[],[187,183,164,173,205,189,43,63,61,35,67,59,100,85,96,97,92,103,98,27,28,16,18])).
% 180.83/180.84  cnf(232,plain,
% 180.83/180.84     (P5(a2,f15(a2))),
% 180.83/180.84     inference(scs_inference,[],[126,187,183,164,220,173,205,129,189,43,63,61,62,35,67,59,100,85,96,97,92,103,98,27,28,16,18,17,26,21])).
% 180.83/180.84  cnf(234,plain,
% 180.83/180.84     (P13(f14(a4),f16(f14(a4)))),
% 180.83/180.84     inference(scs_inference,[],[126,178,187,183,60,164,220,173,205,129,189,43,63,61,62,48,35,67,59,100,85,96,97,92,103,98,27,28,16,18,17,26,21,112])).
% 180.83/180.84  cnf(239,plain,
% 180.83/180.84     (E(a2,f13(a2))),
% 180.83/180.84     inference(scs_inference,[],[126,178,187,183,60,164,220,173,205,129,189,43,63,61,62,48,35,67,59,100,85,96,97,92,103,98,27,28,16,18,17,26,21,112,152,2])).
% 180.83/180.84  cnf(241,plain,
% 180.83/180.84     (P8(a2)),
% 180.83/180.84     inference(scs_inference,[],[126,178,169,187,183,60,164,220,173,205,129,189,43,63,61,62,48,35,67,57,59,100,85,96,97,92,103,98,27,28,16,18,17,26,21,112,152,2,29,30])).
% 180.83/180.84  cnf(243,plain,
% 180.83/180.84     (P7(a2)),
% 180.83/180.84     inference(scs_inference,[],[126,178,169,187,183,60,164,220,173,205,129,189,43,63,61,62,48,35,67,56,57,59,100,85,96,97,92,103,98,27,28,16,18,17,26,21,112,152,2,29,30,31])).
% 180.83/180.84  cnf(245,plain,
% 180.83/180.84     (P11(a2)),
% 180.83/180.84     inference(scs_inference,[],[126,178,169,187,183,60,164,220,173,205,129,189,43,63,61,62,48,35,67,55,56,57,59,100,85,96,97,92,103,98,27,28,16,18,17,26,21,112,152,2,29,30,31,32])).
% 180.83/180.84  cnf(247,plain,
% 180.83/180.84     (P10(a2)),
% 180.83/180.84     inference(scs_inference,[],[126,178,169,187,183,60,164,220,173,205,129,189,43,63,61,62,48,35,67,54,55,56,57,59,100,85,96,97,92,103,98,27,28,16,18,17,26,21,112,152,2,29,30,31,32,33])).
% 180.83/180.84  cnf(249,plain,
% 180.83/180.84     (P15(a2)),
% 180.83/180.84     inference(scs_inference,[],[126,178,169,187,183,60,164,220,173,205,129,189,43,63,61,62,48,35,67,53,54,55,56,57,59,100,85,96,97,92,103,98,27,28,16,18,17,26,21,112,152,2,29,30,31,32,33,34])).
% 180.83/180.84  cnf(251,plain,
% 180.83/180.84     (P6(a2)),
% 180.83/180.84     inference(scs_inference,[],[126,178,169,187,183,60,164,220,173,205,129,189,43,45,63,61,62,48,35,67,53,54,55,56,57,59,100,85,96,97,92,103,98,27,28,16,18,17,26,21,112,152,2,29,30,31,32,33,34,19])).
% 180.83/180.84  cnf(253,plain,
% 180.83/180.84     (~E(f16(a3),a2)),
% 180.83/180.84     inference(scs_inference,[],[126,178,169,187,183,60,164,220,173,205,129,189,43,45,63,61,62,48,35,67,53,54,55,56,57,59,100,85,96,97,92,103,98,27,28,16,18,17,26,21,112,152,2,29,30,31,32,33,34,19,3])).
% 180.83/180.84  cnf(261,plain,
% 180.83/180.84     (P16(f13(x2611),x2612)),
% 180.83/180.84     inference(scs_inference,[],[207,100])).
% 180.83/180.84  cnf(262,plain,
% 180.83/180.84     (~P13(x2621,f13(x2622))),
% 180.83/180.84     inference(rename_variables,[],[207])).
% 180.83/180.84  cnf(264,plain,
% 180.83/180.84     (~P13(x2641,f14(x2642))),
% 180.83/180.84     inference(scs_inference,[],[207,44,100,85])).
% 180.83/180.84  cnf(266,plain,
% 180.83/180.84     (~P13(a11,f8(a11))),
% 180.83/180.84     inference(scs_inference,[],[207,166,44,100,85,96])).
% 180.83/180.84  cnf(268,plain,
% 180.83/180.84     (P5(f8(a2),f13(a2))),
% 180.83/180.84     inference(scs_inference,[],[239,207,166,44,100,85,96,152])).
% 180.83/180.84  cnf(269,plain,
% 180.83/180.84     (E(f14(f13(a2)),f13(a2))),
% 180.83/180.84     inference(scs_inference,[],[239,211,207,204,166,44,100,85,96,152,98])).
% 180.83/180.84  cnf(270,plain,
% 180.83/180.84     (P16(f14(x2701),x2701)),
% 180.83/180.84     inference(rename_variables,[],[211])).
% 180.83/180.84  cnf(276,plain,
% 180.83/180.84     (P14(a2)),
% 180.83/180.84     inference(scs_inference,[],[219,239,181,211,207,204,166,44,58,70,100,85,96,152,98,92,29])).
% 180.83/180.84  cnf(278,plain,
% 180.83/180.84     (~E(f16(f14(a4)),f13(x2781))),
% 180.83/180.84     inference(scs_inference,[],[234,219,239,181,211,207,262,204,166,44,58,70,100,85,96,152,98,92,29,27])).
% 180.83/180.84  cnf(284,plain,
% 180.83/180.84     (P5(f13(a2),f15(f13(a2)))),
% 180.83/180.84     inference(scs_inference,[],[126,187,234,219,239,181,211,270,207,262,204,223,166,44,63,58,70,100,85,96,152,98,92,29,27,3,17,26,21])).
% 180.83/180.84  cnf(286,plain,
% 180.83/180.84     (P13(a2,f16(a2))),
% 180.83/180.84     inference(scs_inference,[],[126,187,234,219,239,251,60,181,211,270,207,262,204,223,166,44,63,48,58,70,100,85,96,152,98,92,29,27,3,17,26,21,112])).
% 180.83/180.84  cnf(290,plain,
% 180.83/180.84     (E(f13(a2),f14(f13(a2)))),
% 180.83/180.84     inference(scs_inference,[],[126,187,234,219,239,251,60,181,211,270,207,262,204,223,166,44,63,48,58,70,100,85,96,152,98,92,29,27,3,17,26,21,112,2])).
% 180.83/180.84  cnf(310,plain,
% 180.83/180.84     (P16(f14(x3101),x3102)),
% 180.83/180.84     inference(scs_inference,[],[264,100])).
% 180.83/180.84  cnf(311,plain,
% 180.83/180.84     (~P13(x3111,f14(x3112))),
% 180.83/180.84     inference(rename_variables,[],[264])).
% 180.83/180.84  cnf(313,plain,
% 180.83/180.84     (~P13(a5,f8(a5))),
% 180.83/180.84     inference(scs_inference,[],[264,213,100,96])).
% 180.83/180.84  cnf(315,plain,
% 180.83/180.84     (~P5(f15(a4),f16(f16(a4)))),
% 180.83/180.84     inference(scs_inference,[],[264,135,213,71,100,96,92])).
% 180.83/180.84  cnf(322,plain,
% 180.83/180.84     (E(f14(f13(a2)),a2)),
% 180.83/180.84     inference(scs_inference,[],[290,228,189,264,135,213,71,53,58,100,96,92,34,29,98])).
% 180.83/180.84  cnf(323,plain,
% 180.83/180.84     (P16(a2,x3231)),
% 180.83/180.84     inference(rename_variables,[],[189])).
% 180.83/180.84  cnf(329,plain,
% 180.83/180.84     (~E(a2,f15(a4))),
% 180.83/180.84     inference(scs_inference,[],[126,290,286,239,228,189,323,264,311,135,278,213,71,53,58,100,96,92,34,29,98,27,3,17])).
% 180.83/180.84  cnf(331,plain,
% 180.83/180.84     (P5(a2,f15(f13(a2)))),
% 180.83/180.84     inference(scs_inference,[],[126,219,290,286,239,228,189,323,264,311,135,278,284,213,71,53,58,100,96,92,34,29,98,27,3,17,21])).
% 180.83/180.84  cnf(332,plain,
% 180.83/180.84     (P13(f13(a2),f16(a2))),
% 180.83/180.84     inference(scs_inference,[],[126,219,290,286,239,228,189,323,264,311,135,278,284,213,71,53,58,100,96,92,34,29,98,27,3,17,21,26])).
% 180.83/180.84  cnf(333,plain,
% 180.83/180.84     (P13(f13(x3331),f16(f13(x3331)))),
% 180.83/180.84     inference(scs_inference,[],[126,219,290,286,239,60,228,189,323,264,311,135,278,284,213,45,48,71,53,58,100,96,92,34,29,98,27,3,17,21,26,112])).
% 180.83/180.84  cnf(337,plain,
% 180.83/180.84     (E(a2,f14(f13(a2)))),
% 180.83/180.84     inference(scs_inference,[],[126,219,290,286,239,60,228,189,323,264,311,135,278,284,213,45,48,71,53,58,100,96,92,34,29,98,27,3,17,21,26,112,2])).
% 180.83/180.84  cnf(338,plain,
% 180.83/180.84     (P5(a2,x3381)+~E(f15(a2),x3381)),
% 180.83/180.84     inference(scs_inference,[],[126,219,290,286,239,60,232,228,189,323,264,311,135,278,284,213,45,48,71,53,58,100,96,92,34,29,98,27,3,17,21,26,112,2,22])).
% 180.83/180.84  cnf(339,plain,
% 180.83/180.84     (P5(f8(a2),f14(f13(a2)))),
% 180.83/180.84     inference(scs_inference,[],[126,219,290,286,239,60,232,228,189,323,264,311,135,278,284,213,45,48,71,53,58,100,96,92,34,29,98,27,3,17,21,26,112,2,22,152])).
% 180.83/180.84  cnf(346,plain,
% 180.83/180.84     (~P5(f16(a3),a3)),
% 180.83/180.84     inference(scs_inference,[],[209,65,92])).
% 180.83/180.84  cnf(353,plain,
% 180.83/180.84     (~E(f13(x3531),f15(a4))),
% 180.83/180.84     inference(scs_inference,[],[126,333,209,121,261,138,113,65,92,98,27,17])).
% 180.83/180.84  cnf(355,plain,
% 180.83/180.84     (P13(a2,f16(f13(a2)))),
% 180.83/180.84     inference(scs_inference,[],[219,126,333,209,121,261,138,113,65,92,98,27,17,26])).
% 180.83/180.84  cnf(359,plain,
% 180.83/180.84     (~P13(f15(a4),f16(a1))),
% 180.83/180.84     inference(scs_inference,[],[219,126,333,209,121,261,138,113,48,65,92,98,27,17,26,80,111])).
% 180.83/180.84  cnf(362,plain,
% 180.83/180.84     (~P15(a1)+P15(f8(f15(a1)))),
% 180.83/180.84     inference(scs_inference,[],[219,126,187,333,209,121,261,138,113,48,65,92,98,27,17,26,80,111,34])).
% 180.83/180.84  cnf(382,plain,
% 180.83/180.84     (~P13(f15(a4),f16(a2))),
% 180.83/180.84     inference(scs_inference,[],[337,126,142,286,232,189,310,160,329,359,48,71,92,98,27,21,17,26,80,111])).
% 180.83/180.84  cnf(385,plain,
% 180.83/180.84     (P16(f16(x3851),x3852)+~E(f15(x3851),x3852)),
% 180.83/180.84     inference(scs_inference,[],[337,126,142,286,232,189,310,160,329,359,64,48,71,92,98,27,21,17,26,80,111,18])).
% 180.83/180.84  cnf(386,plain,
% 180.83/180.84     (~P8(a1)+P8(f8(f15(a1)))),
% 180.83/180.84     inference(scs_inference,[],[337,126,187,142,286,232,189,310,160,329,359,64,48,71,92,98,27,21,17,26,80,111,18,30])).
% 180.83/180.84  cnf(388,plain,
% 180.83/180.84     (~P7(a1)+P7(f8(f15(a1)))),
% 180.83/180.84     inference(scs_inference,[],[337,126,187,142,286,232,62,189,310,160,329,359,64,48,71,92,98,27,21,17,26,80,111,18,30,22,31])).
% 180.83/180.84  cnf(389,plain,
% 180.83/180.84     (~P11(a1)+P11(f8(f15(a1)))),
% 180.83/180.84     inference(scs_inference,[],[337,126,187,142,286,232,62,189,310,160,329,359,64,48,71,92,98,27,21,17,26,80,111,18,30,22,31,32])).
% 180.83/180.84  cnf(390,plain,
% 180.83/180.84     (~P6(a1)+P6(f8(f15(a1)))),
% 180.83/180.84     inference(scs_inference,[],[337,126,187,142,286,232,62,189,310,160,329,359,64,48,71,92,98,27,21,17,26,80,111,18,30,22,31,32,19])).
% 180.83/180.84  cnf(396,plain,
% 180.83/180.84     (~P16(f15(a4),f13(x3961))),
% 180.83/180.84     inference(scs_inference,[],[261,353,382,71,92,98])).
% 180.83/180.84  cnf(480,plain,
% 180.83/180.84     (E(f8(f15(a2)),a2)),
% 180.83/180.84     inference(scs_inference,[],[189,118,98])).
% 180.83/180.84  cnf(487,plain,
% 180.83/180.84     (E(a2,f8(f15(a2)))),
% 180.83/180.84     inference(scs_inference,[],[333,253,189,207,118,98,3,27,2])).
% 180.83/180.84  cnf(489,plain,
% 180.83/180.84     (P1(f8(f15(a2)))),
% 180.83/180.84     inference(scs_inference,[],[333,253,189,36,207,249,118,98,3,27,2,34,16])).
% 180.83/180.84  cnf(511,plain,
% 180.83/180.84     (~P13(x5111,f8(f15(a2)))),
% 180.83/180.84     inference(scs_inference,[],[489,85])).
% 180.83/180.84  cnf(513,plain,
% 180.83/180.84     (P5(f8(a2),f8(f15(a2)))),
% 180.83/180.84     inference(scs_inference,[],[487,489,85,152])).
% 180.83/180.84  cnf(552,plain,
% 180.83/180.84     (P16(x5521,f15(x5522))+~E(f16(x5522),x5521)),
% 180.83/180.84     inference(scs_inference,[],[286,160,64,27,17])).
% 180.83/180.84  cnf(565,plain,
% 180.83/180.84     (P5(x5651,f8(f15(a1)))+~E(f8(a1),x5651)),
% 180.83/180.84     inference(scs_inference,[],[142,188,207,27,21])).
% 180.83/180.84  cnf(566,plain,
% 180.83/180.84     (~P10(a1)+P10(f8(f15(a1)))),
% 180.83/180.84     inference(scs_inference,[],[187,142,188,207,27,21,33])).
% 180.83/180.84  cnf(567,plain,
% 180.83/180.84     (~P14(a1)+P14(f8(f15(a1)))),
% 180.83/180.84     inference(scs_inference,[],[187,142,188,207,27,21,33,29])).
% 180.83/180.84  cnf(578,plain,
% 180.83/180.84     (P13(x5781,f16(a3))+~E(a3,x5781)),
% 180.83/180.84     inference(scs_inference,[],[219,337,183,284,264,27,22,24,25,20,26])).
% 180.83/180.84  cnf(605,plain,
% 180.83/180.84     (P5(x6051,f14(f13(a2)))+~E(f8(a2),x6051)),
% 180.83/180.84     inference(scs_inference,[],[129,339,160,27,21])).
% 180.83/180.84  cnf(608,plain,
% 180.83/180.84     (P13(x6081,f16(a4))+~E(a4,x6081)),
% 180.83/180.84     inference(scs_inference,[],[322,142,129,339,160,27,21,20,25,26])).
% 180.83/180.84  cnf(635,plain,
% 180.83/180.84     (~P12(a1)+P12(f8(f15(a1)))),
% 180.83/180.84     inference(scs_inference,[],[187,234,264,27,28])).
% 180.83/180.84  cnf(653,plain,
% 180.83/180.84     (P16(x6531,a11)+~E(f8(a11),f9(x6531,a11))),
% 180.83/180.84     inference(scs_inference,[],[234,166,113,27,26,105])).
% 180.83/180.84  cnf(673,plain,
% 180.83/180.84     (P5(x6731,f8(f15(a2)))+~E(f8(a2),x6731)),
% 180.83/180.84     inference(scs_inference,[],[331,213,160,513,27,22,21])).
% 180.83/180.84  cnf(738,plain,
% 180.83/180.84     (~E(a11,a2)),
% 180.83/180.84     inference(scs_inference,[],[166,160,27])).
% 180.83/180.84  cnf(858,plain,
% 180.83/180.84     (P6(f6(a3))),
% 180.83/180.84     inference(scs_inference,[],[191,72,76])).
% 180.83/180.84  cnf(859,plain,
% 180.83/180.84     (P13(f6(a3),f16(f6(a3)))),
% 180.83/180.84     inference(scs_inference,[],[60,858,48,112])).
% 180.83/180.84  cnf(863,plain,
% 180.83/180.84     (~P13(f16(f6(a3)),f6(a3))),
% 180.83/180.84     inference(scs_inference,[],[60,858,48,112,96])).
% 180.83/180.84  cnf(865,plain,
% 180.83/180.84     (P13(x8651,f16(f6(a3)))+~E(f6(a3),x8651)),
% 180.83/180.84     inference(scs_inference,[],[60,858,48,112,96,26])).
% 180.83/180.84  cnf(888,plain,
% 180.83/180.84     (P6(f7(f12(a11)))),
% 180.83/180.84     inference(scs_inference,[],[66,77,82])).
% 180.83/180.84  cnf(904,plain,
% 180.83/180.84     (~P1(f6(f7(a5)))),
% 180.83/180.84     inference(scs_inference,[],[67,83,84])).
% 180.83/180.84  cnf(927,plain,
% 180.83/180.84     (P13(a2,f15(a2))),
% 180.83/180.84     inference(scs_inference,[],[232,70,92])).
% 180.83/180.84  cnf(1050,plain,
% 180.83/180.84     (P13(f13(x10501),f15(x10501))),
% 180.83/180.84     inference(scs_inference,[],[62,70,92])).
% 180.83/180.84  cnf(1105,plain,
% 180.83/180.84     (P5(f9(f15(a4),f16(a4)),f15(a4))),
% 180.83/180.84     inference(scs_inference,[],[126,91,100])).
% 180.83/180.84  cnf(1106,plain,
% 180.83/180.84     (P16(f9(f15(a4),f16(a4)),a4)),
% 180.83/180.84     inference(scs_inference,[],[1105,97])).
% 180.83/180.84  cnf(1108,plain,
% 180.83/180.84     (P6(f9(f15(a4),f16(a4)))),
% 180.83/180.84     inference(scs_inference,[],[38,1105,97,95])).
% 180.83/180.84  cnf(1123,plain,
% 180.83/180.84     (E(a4,f9(f15(a4),f16(a4)))+~P16(a4,f9(f15(a4),f16(a4)))),
% 180.83/180.84     inference(scs_inference,[],[1105,1106,98,21,2])).
% 180.83/180.84  cnf(1151,plain,
% 180.83/180.84     (P6(a1)),
% 180.83/180.84     inference(scs_inference,[],[227,192,73])).
% 180.83/180.84  cnf(1152,plain,
% 180.83/180.84     (P6(f8(f15(a1)))),
% 180.83/180.84     inference(scs_inference,[],[1151,390])).
% 180.83/180.84  cnf(1153,plain,
% 180.83/180.84     (P13(a1,f16(a1))),
% 180.83/180.84     inference(scs_inference,[],[60,1151,48,112])).
% 180.83/180.84  cnf(1217,plain,
% 180.83/180.84     (P13(x12171,f15(a4))+~E(f9(f15(a4),f16(a4)),x12171)),
% 180.83/180.84     inference(scs_inference,[],[1105,70,92,96,26])).
% 180.83/180.84  cnf(1337,plain,
% 180.83/180.84     (P16(f8(f15(a2)),f13(a2))),
% 180.83/180.84     inference(scs_inference,[],[239,118,18])).
% 180.83/180.84  cnf(1339,plain,
% 180.83/180.84     (E(f8(f15(a2)),f13(a2))),
% 180.83/180.84     inference(scs_inference,[],[239,261,118,18,98])).
% 180.83/180.84  cnf(1342,plain,
% 180.83/180.84     (~E(f8(f15(a2)),f15(a4))),
% 180.83/180.84     inference(scs_inference,[],[239,396,261,118,18,98,17])).
% 180.83/180.84  cnf(1347,plain,
% 180.83/180.84     (P13(f14(a3),f16(f14(a3)))),
% 180.83/180.84     inference(scs_inference,[],[37,239,396,60,63,261,118,48,18,98,17,95,112])).
% 180.83/180.84  cnf(1351,plain,
% 180.83/180.84     (E(f13(a2),f8(f15(a2)))),
% 180.83/180.84     inference(scs_inference,[],[37,239,396,60,63,261,118,48,18,98,17,95,112,2])).
% 180.83/180.84  cnf(1360,plain,
% 180.83/180.84     (P6(f8(f15(a3)))),
% 180.83/180.84     inference(scs_inference,[],[37,859,61,113,27,95])).
% 180.83/180.84  cnf(1879,plain,
% 180.83/180.84     (P5(f12(a3),f15(a3))),
% 180.83/180.84     inference(scs_inference,[],[191,86,72])).
% 180.83/180.84  cnf(1880,plain,
% 180.83/180.84     (P16(f12(a3),a3)),
% 180.83/180.84     inference(scs_inference,[],[1879,97])).
% 180.83/180.84  cnf(1882,plain,
% 180.83/180.84     (P6(f12(a3))),
% 180.83/180.84     inference(scs_inference,[],[37,1879,97,95])).
% 180.83/180.84  cnf(1884,plain,
% 180.83/180.84     (~P13(f16(a3),f12(a3))),
% 180.83/180.84     inference(scs_inference,[],[37,346,1879,97,95,104])).
% 180.83/180.84  cnf(1886,plain,
% 180.83/180.84     (P13(f12(a3),f16(f12(a3)))),
% 180.83/180.84     inference(scs_inference,[],[60,37,346,1879,48,97,95,104,112])).
% 180.83/180.84  cnf(1890,plain,
% 180.83/180.84     (~P13(f16(f12(a3)),f12(a3))),
% 180.83/180.84     inference(scs_inference,[],[60,37,346,1879,48,97,95,104,112,96])).
% 180.83/180.84  cnf(1892,plain,
% 180.83/180.84     (P13(x18921,f16(f12(a3)))+~E(f12(a3),x18921)),
% 180.83/180.84     inference(scs_inference,[],[60,37,346,1879,48,97,95,104,112,96,26])).
% 180.83/180.84  cnf(1908,plain,
% 180.83/180.84     (P16(f12(a3),x19081)+~E(f15(a3),f15(x19081))),
% 180.83/180.84     inference(scs_inference,[],[1886,207,1879,27,22,97])).
% 180.83/180.84  cnf(1961,plain,
% 180.83/180.84     (P5(a1,f15(x19611))),
% 180.83/180.84     inference(scs_inference,[],[113,94,100])).
% 180.83/180.84  cnf(1963,plain,
% 180.83/180.84     (P16(f8(f15(a1)),x19631)),
% 180.83/180.84     inference(scs_inference,[],[187,1961,21,97])).
% 180.83/180.84  cnf(1972,plain,
% 180.83/180.84     (P5(f16(a4),f15(a1))+~P16(f16(a4),f8(f15(a1)))),
% 180.83/180.84     inference(scs_inference,[],[38,187,126,60,1961,132,21,97,17,98,102,151])).
% 180.83/180.84  cnf(2309,plain,
% 180.83/180.84     (P13(f12(a3),f15(a3))),
% 180.83/180.84     inference(scs_inference,[],[1879,70,92])).
% 180.83/180.84  cnf(2312,plain,
% 180.83/180.84     (~P13(f15(a3),f12(a3))),
% 180.83/180.84     inference(scs_inference,[],[1879,70,92,96])).
% 180.83/180.84  cnf(2314,plain,
% 180.83/180.84     (P13(x23141,f15(a3))+~E(f12(a3),x23141)),
% 180.83/180.84     inference(scs_inference,[],[1879,70,92,96,26])).
% 180.83/180.84  cnf(2414,plain,
% 180.83/180.84     (E(f13(f13(a2)),f13(f14(f13(a2))))),
% 180.83/180.84     inference(scs_inference,[],[269,4,2])).
% 180.83/180.84  cnf(2446,plain,
% 180.83/180.84     (E(f15(f10(x24461,f8(f15(a1)))),f15(f10(x24461,a1)))),
% 180.83/180.84     inference(scs_inference,[],[169,8,7])).
% 180.83/180.84  cnf(2462,plain,
% 180.83/180.84     (E(f16(f6(f8(f15(a1)))),f16(f6(a1)))),
% 180.83/180.84     inference(scs_inference,[],[169,9,10])).
% 180.83/180.84  cnf(2494,plain,
% 180.83/180.84     (E(f8(f9(f8(f15(a1)),x24941)),f8(f9(a1,x24941)))),
% 180.83/180.84     inference(scs_inference,[],[169,15,13])).
% 180.83/180.84  cnf(2587,plain,
% 180.83/180.84     (~P16(f16(a3),f13(x25871))),
% 180.83/180.84     inference(scs_inference,[],[183,207,101])).
% 180.83/180.84  cnf(2949,plain,
% 180.83/180.84     (~P16(a5,f13(x29491))),
% 180.83/180.84     inference(scs_inference,[],[213,207,101])).
% 180.83/180.84  cnf(2952,plain,
% 180.83/180.84     (~P13(a5,f16(f13(x29521)))),
% 180.83/180.84     inference(scs_inference,[],[48,213,207,101,111])).
% 180.83/180.84  cnf(2964,plain,
% 180.83/180.84     (~P13(f15(a3),f16(f13(x29641)))),
% 180.83/180.84     inference(scs_inference,[],[48,333,2309,207,2952,71,26,101,92,111])).
% 180.83/180.84  cnf(2976,plain,
% 180.83/180.84     (~P13(a11,f16(f14(x29761)))),
% 180.83/180.84     inference(scs_inference,[],[48,333,166,264,2964,71,26,101,92,111])).
% 180.83/180.84  cnf(2981,plain,
% 180.83/180.84     (~P13(a11,f16(f14(x29811)))),
% 180.83/180.84     inference(rename_variables,[],[2976])).
% 180.83/180.84  cnf(2988,plain,
% 180.83/180.84     (~P13(f16(f14(a3)),f16(a1))),
% 180.83/180.84     inference(scs_inference,[],[48,234,1347,113,2976,2981,71,26,101,92,111])).
% 180.83/180.84  cnf(2993,plain,
% 180.83/180.84     (~P16(a3,f13(x29931))),
% 180.83/180.84     inference(scs_inference,[],[1153,129,207,2988,26,101])).
% 180.83/180.84  cnf(2999,plain,
% 180.83/180.84     (~P13(a3,f16(f13(x29991)))),
% 180.83/180.84     inference(scs_inference,[],[48,1153,129,207,2988,71,26,101,92,111])).
% 180.83/180.84  cnf(3009,plain,
% 180.83/180.84     (~P16(a5,f14(x30091))),
% 180.83/180.84     inference(scs_inference,[],[213,264,101])).
% 180.83/180.84  cnf(3012,plain,
% 180.83/180.84     (~E(f13(x30121),a3)),
% 180.83/180.84     inference(scs_inference,[],[333,213,264,2999,101,26])).
% 180.83/180.84  cnf(3095,plain,
% 180.83/180.84     (~P13(f15(x30951),f16(f13(x30952)))),
% 180.83/180.84     inference(scs_inference,[],[48,1050,207,101,111])).
% 180.83/180.84  cnf(3109,plain,
% 180.83/180.84     (~P16(a11,a1)),
% 180.83/180.84     inference(scs_inference,[],[166,113,101])).
% 180.83/180.84  cnf(3112,plain,
% 180.83/180.84     (~P13(a11,f16(a1))),
% 180.83/180.84     inference(scs_inference,[],[48,166,113,101,111])).
% 180.83/180.84  cnf(3120,plain,
% 180.83/180.84     (~E(f13(x31201),f15(x31202))),
% 180.83/180.84     inference(scs_inference,[],[48,333,166,113,1337,2587,3095,71,101,111,17,92,26])).
% 180.83/180.84  cnf(3124,plain,
% 180.83/180.84     (~P16(a5,a1)),
% 180.83/180.84     inference(scs_inference,[],[213,113,101])).
% 180.83/180.84  cnf(3127,plain,
% 180.83/180.84     (~P13(a5,f16(a1))),
% 180.83/180.84     inference(scs_inference,[],[48,213,113,101,111])).
% 180.83/180.84  cnf(3130,plain,
% 180.83/180.84     (~P5(a11,f16(a1))),
% 180.83/180.84     inference(scs_inference,[],[48,213,113,3112,71,101,111,92])).
% 180.83/180.84  cnf(3133,plain,
% 180.83/180.84     (~E(a1,a11)),
% 180.83/180.84     inference(scs_inference,[],[48,1153,213,113,3112,71,101,111,92,26])).
% 180.83/180.84  cnf(3142,plain,
% 180.83/180.84     (~P5(a5,f16(a1))),
% 180.83/180.84     inference(scs_inference,[],[48,2309,113,3127,71,101,111,92])).
% 180.83/180.84  cnf(3145,plain,
% 180.83/180.84     (~E(a1,a5)),
% 180.83/180.84     inference(scs_inference,[],[48,1153,2309,113,3127,71,101,111,92,26])).
% 180.83/180.84  cnf(3148,plain,
% 180.83/180.84     (~P16(a3,a1)),
% 180.83/180.84     inference(scs_inference,[],[129,113,101])).
% 180.83/180.84  cnf(3151,plain,
% 180.83/180.84     (~P13(a3,f16(a1))),
% 180.83/180.84     inference(scs_inference,[],[48,129,113,101,111])).
% 180.83/180.84  cnf(3163,plain,
% 180.83/180.84     (~P13(f15(x31631),f16(a1))),
% 180.83/180.84     inference(scs_inference,[],[48,1050,113,101,111])).
% 180.83/180.84  cnf(3166,plain,
% 180.83/180.84     (~P5(a3,f16(a1))),
% 180.83/180.84     inference(scs_inference,[],[48,1050,113,3151,71,101,111,92])).
% 180.83/180.84  cnf(3169,plain,
% 180.83/180.84     (~E(a1,a3)),
% 180.83/180.84     inference(scs_inference,[],[48,1153,1050,113,3151,71,101,111,92,26])).
% 180.83/180.84  cnf(3172,plain,
% 180.83/180.84     (~P5(f15(x31721),f16(a1))),
% 180.83/180.84     inference(scs_inference,[],[3163,71,92])).
% 180.83/180.84  cnf(3190,plain,
% 180.83/180.84     (~E(a2,f15(x31901))),
% 180.83/180.84     inference(scs_inference,[],[355,3095,26])).
% 180.83/180.84  cnf(3618,plain,
% 180.83/180.84     (P13(a1,f15(x36181))),
% 180.83/180.84     inference(scs_inference,[],[1961,70,92])).
% 180.83/180.84  cnf(3621,plain,
% 180.83/180.84     (P13(f8(f15(a1)),f15(x36211))),
% 180.83/180.84     inference(scs_inference,[],[187,1961,70,92,26])).
% 180.83/180.84  cnf(3765,plain,
% 180.83/180.84     (P13(f8(f16(x37651)),f16(x37651))),
% 180.83/180.84     inference(scs_inference,[],[61,71,92])).
% 180.83/180.84  cnf(3772,plain,
% 180.83/180.84     (~P13(f16(x37721),f8(f16(x37721)))),
% 180.83/180.84     inference(scs_inference,[],[3765,96])).
% 180.83/180.84  cnf(3775,plain,
% 180.83/180.84     (~P13(x37751,a1)),
% 180.83/180.84     inference(rename_variables,[],[113])).
% 180.83/180.84  cnf(3776,plain,
% 180.83/180.84     (~P16(f16(x37761),a1)),
% 180.83/180.84     inference(scs_inference,[],[113,3775,3765,96,27,101])).
% 180.83/180.84  cnf(3791,plain,
% 180.83/180.84     (~P13(x37911,f13(x37912))),
% 180.83/180.84     inference(rename_variables,[],[207])).
% 180.83/180.84  cnf(3795,plain,
% 180.83/180.84     (~P13(f16(x37951),f16(f13(x37952)))),
% 180.83/180.84     inference(scs_inference,[],[207,3791,3765,48,27,101,111])).
% 180.83/180.84  cnf(3816,plain,
% 180.83/180.84     (~E(f16(x38161),f14(x38162))),
% 180.83/180.84     inference(scs_inference,[],[264,1337,2949,3765,17,27])).
% 180.83/180.84  cnf(3817,plain,
% 180.83/180.84     (~P13(x38171,f14(x38172))),
% 180.83/180.84     inference(rename_variables,[],[264])).
% 180.83/180.84  cnf(3821,plain,
% 180.83/180.84     (~E(a2,f16(x38211))),
% 180.83/180.84     inference(scs_inference,[],[355,264,3817,1337,2949,3765,3795,17,27,101,26])).
% 180.83/180.84  cnf(3834,plain,
% 180.83/180.84     (~P16(f15(x38341),a2)),
% 180.83/180.84     inference(scs_inference,[],[189,3190,98])).
% 180.83/180.84  cnf(3860,plain,
% 180.83/180.84     (~P16(f16(x38601),a2)),
% 180.83/180.84     inference(scs_inference,[],[189,3821,98])).
% 180.83/180.84  cnf(3865,plain,
% 180.83/180.84     (~P13(f16(x38651),f16(a2))),
% 180.83/180.84     inference(scs_inference,[],[189,3821,48,98,80,111])).
% 180.83/180.84  cnf(3943,plain,
% 180.83/180.84     (P5(x39431,f15(x39432))+~E(a1,x39431)),
% 180.83/180.84     inference(scs_inference,[],[1961,21])).
% 180.83/180.84  cnf(3946,plain,
% 180.83/180.84     (P13(x39461,f16(x39461))+~E(a1,x39461)),
% 180.83/180.84     inference(scs_inference,[],[38,60,1961,48,21,95,112])).
% 180.83/180.84  cnf(3959,plain,
% 180.83/180.84     (P5(x39591,f15(x39592))+~E(f14(x39592),x39591)),
% 180.83/180.84     inference(scs_inference,[],[63,21])).
% 180.83/180.84  cnf(3975,plain,
% 180.83/180.84     (P13(x39751,f15(x39752))+~E(a1,x39751)),
% 180.83/180.84     inference(scs_inference,[],[3618,26])).
% 180.83/180.84  cnf(3990,plain,
% 180.83/180.84     (P6(f6(a11))),
% 180.83/180.84     inference(scs_inference,[],[66,76])).
% 180.83/180.84  cnf(3994,plain,
% 180.83/180.84     (~P1(f12(a3))),
% 180.83/180.84     inference(scs_inference,[],[65,66,76,77,82])).
% 180.83/180.84  cnf(3996,plain,
% 180.83/180.84     (~P1(f6(a3))),
% 180.83/180.84     inference(scs_inference,[],[65,66,76,77,82,83])).
% 180.83/180.84  cnf(3998,plain,
% 180.83/180.84     (~P1(f7(a3))),
% 180.83/180.84     inference(scs_inference,[],[65,66,76,77,82,83,84])).
% 180.83/180.84  cnf(4000,plain,
% 180.83/180.84     (P5(f13(x40001),f15(x40002))),
% 180.83/180.84     inference(scs_inference,[],[65,66,261,76,77,82,83,84,94])).
% 180.83/180.84  cnf(4002,plain,
% 180.83/180.84     (P5(f12(a11),f15(a11))),
% 180.83/180.84     inference(scs_inference,[],[65,66,261,76,77,82,83,84,94,86])).
% 180.83/180.84  cnf(4004,plain,
% 180.83/180.84     (P5(f6(a3),f15(a3))),
% 180.83/180.84     inference(scs_inference,[],[65,66,261,76,77,82,83,84,94,86,87])).
% 180.83/180.84  cnf(4006,plain,
% 180.83/180.84     (P5(f7(a3),f15(a3))),
% 180.83/180.84     inference(scs_inference,[],[65,66,261,76,77,82,83,84,94,86,87,88])).
% 180.83/180.84  cnf(4008,plain,
% 180.83/180.84     (E(f14(x40081),a1)),
% 180.83/180.84     inference(scs_inference,[],[44,65,66,261,76,77,82,83,84,94,86,87,88,72])).
% 180.83/180.84  cnf(4012,plain,
% 180.83/180.84     (P6(f14(x40121))),
% 180.83/180.84     inference(scs_inference,[],[332,44,65,66,261,76,77,82,83,84,94,86,87,88,72,91,73])).
% 180.83/180.84  cnf(4014,plain,
% 180.83/180.84     (P13(f9(a11,a1),a11)),
% 180.83/180.84     inference(scs_inference,[],[3109,332,44,65,66,261,76,77,82,83,84,94,86,87,88,72,91,73,100])).
% 180.83/180.84  cnf(4025,plain,
% 180.83/180.84     (~P16(a3,a2)),
% 180.83/180.84     inference(scs_inference,[],[146,3816,3860,3012,3109,2993,332,44,65,66,261,183,239,219,76,77,82,83,84,94,86,87,88,72,91,73,100,2,96,97,27,3,16,18])).
% 180.83/180.84  cnf(4031,plain,
% 180.83/180.84     (~E(f16(a1),f16(a3))),
% 180.83/180.84     inference(scs_inference,[],[146,1884,3816,3860,3012,3109,2993,332,44,3151,65,66,37,35,261,183,239,60,48,219,76,77,82,83,84,94,86,87,88,72,91,73,100,2,96,97,27,3,16,18,103,92,102])).
% 180.83/180.84  cnf(4037,plain,
% 180.83/180.84     (~P16(a11,a2)),
% 180.83/180.84     inference(scs_inference,[],[146,1884,3816,3860,3012,3109,2993,332,738,44,3151,65,66,37,35,261,64,189,183,239,60,48,219,76,77,82,83,84,94,86,87,88,72,91,73,100,2,96,97,27,3,16,18,103,92,102,89,98])).
% 180.83/180.84  cnf(4050,plain,
% 180.83/180.84     (P6(f7(a5))),
% 180.83/180.84     inference(scs_inference,[],[67,77])).
% 180.83/180.84  cnf(4052,plain,
% 180.83/180.85     (P5(f6(a5),f15(a5))),
% 180.83/180.85     inference(scs_inference,[],[67,77,87])).
% 180.83/180.85  cnf(4054,plain,
% 180.83/180.85     (P5(f12(a5),f15(a5))),
% 180.83/180.85     inference(scs_inference,[],[67,77,87,86])).
% 180.83/180.85  cnf(4056,plain,
% 180.83/180.85     (~P1(f7(a5))),
% 180.83/180.85     inference(scs_inference,[],[67,77,87,86,84])).
% 180.83/180.85  cnf(4058,plain,
% 180.83/180.85     (P5(f7(a5),f15(a5))),
% 180.83/180.85     inference(scs_inference,[],[67,77,87,86,84,88])).
% 180.83/180.85  cnf(4060,plain,
% 180.83/180.85     (P5(f14(x40601),f15(x40602))),
% 180.83/180.85     inference(scs_inference,[],[67,310,77,87,86,84,88,94])).
% 180.83/180.85  cnf(4064,plain,
% 180.83/180.85     (E(a2,a1)),
% 180.83/180.85     inference(scs_inference,[],[67,36,310,77,87,86,84,88,94,76,72])).
% 180.83/180.85  cnf(4066,plain,
% 180.83/180.85     (~P1(f6(a5))),
% 180.83/180.85     inference(scs_inference,[],[67,36,310,77,87,86,84,88,94,76,72,83])).
% 180.83/180.85  cnf(4070,plain,
% 180.83/180.85     (~P1(f12(a5))),
% 180.83/180.85     inference(scs_inference,[],[4014,67,36,310,77,87,86,84,88,94,76,72,83,91,82])).
% 180.83/180.85  cnf(4072,plain,
% 180.83/180.85     (P13(f9(a3,a2),a3)),
% 180.83/180.85     inference(scs_inference,[],[4025,4014,67,36,310,77,87,86,84,88,94,76,72,83,91,82,100])).
% 180.83/180.85  cnf(4074,plain,
% 180.83/180.85     (~P13(a3,f9(a3,a2))),
% 180.83/180.85     inference(scs_inference,[],[4025,4014,67,36,310,77,87,86,84,88,94,76,72,83,91,82,100,96])).
% 180.83/180.85  cnf(4076,plain,
% 180.83/180.85     (~P5(a3,f15(a2))),
% 180.83/180.85     inference(scs_inference,[],[4025,4014,67,36,310,77,87,86,84,88,94,76,72,83,91,82,100,96,97])).
% 180.83/180.85  cnf(4078,plain,
% 180.83/180.85     (~E(f16(a3),f16(a1))),
% 180.83/180.85     inference(scs_inference,[],[4025,4031,4014,67,36,310,77,87,86,84,88,94,76,72,83,91,82,100,96,97,2])).
% 180.83/180.85  cnf(4079,plain,
% 180.83/180.85     (~E(a2,f12(a3))),
% 180.83/180.85     inference(scs_inference,[],[4025,3994,4031,4014,67,36,310,77,87,86,84,88,94,76,72,83,91,82,100,96,97,2,16])).
% 180.83/180.85  cnf(4080,plain,
% 180.83/180.85     (~P5(a11,f15(a2))),
% 180.83/180.85     inference(scs_inference,[],[4025,3994,4031,4014,67,36,310,77,87,86,84,88,94,76,72,83,91,82,100,96,97,2,16,103])).
% 180.83/180.85  cnf(4082,plain,
% 180.83/180.85     (P13(f13(x40821),f15(x40822))),
% 180.83/180.85     inference(scs_inference,[],[4025,4000,3994,4031,4014,67,36,310,70,77,87,86,84,88,94,76,72,83,91,82,100,96,97,2,16,103,92])).
% 180.83/180.85  cnf(4085,plain,
% 180.83/180.85     (E(f13(a2),f13(a1))),
% 180.83/180.85     inference(scs_inference,[],[4025,4000,3994,4031,4014,67,36,310,70,77,87,86,84,88,94,76,72,83,91,82,100,96,97,2,16,103,92,4])).
% 180.83/180.85  cnf(4086,plain,
% 180.83/180.85     (E(f14(a2),f14(a1))),
% 180.83/180.85     inference(scs_inference,[],[4025,4000,3994,4031,4014,67,36,310,70,77,87,86,84,88,94,76,72,83,91,82,100,96,97,2,16,103,92,4,5])).
% 180.83/180.85  cnf(4087,plain,
% 180.83/180.85     (E(f15(a2),f15(a1))),
% 180.83/180.85     inference(scs_inference,[],[4025,4000,3994,4031,4014,67,36,310,70,77,87,86,84,88,94,76,72,83,91,82,100,96,97,2,16,103,92,4,5,8])).
% 180.83/180.85  cnf(4088,plain,
% 180.83/180.85     (E(f16(a2),f16(a1))),
% 180.83/180.85     inference(scs_inference,[],[4025,4000,3994,4031,4014,67,36,310,70,77,87,86,84,88,94,76,72,83,91,82,100,96,97,2,16,103,92,4,5,8,9])).
% 180.83/180.85  cnf(4089,plain,
% 180.83/180.85     (E(f6(a2),f6(a1))),
% 180.83/180.85     inference(scs_inference,[],[4025,4000,3994,4031,4014,67,36,310,70,77,87,86,84,88,94,76,72,83,91,82,100,96,97,2,16,103,92,4,5,8,9,10])).
% 180.83/180.85  cnf(4090,plain,
% 180.83/180.85     (E(f7(a2),f7(a1))),
% 180.83/180.85     inference(scs_inference,[],[4025,4000,3994,4031,4014,67,36,310,70,77,87,86,84,88,94,76,72,83,91,82,100,96,97,2,16,103,92,4,5,8,9,10,11])).
% 180.83/180.85  cnf(4091,plain,
% 180.83/180.85     (E(f12(a2),f12(a1))),
% 180.83/180.85     inference(scs_inference,[],[4025,4000,3994,4031,4014,67,36,310,70,77,87,86,84,88,94,76,72,83,91,82,100,96,97,2,16,103,92,4,5,8,9,10,11,12])).
% 180.83/180.85  cnf(4092,plain,
% 180.83/180.85     (E(f8(a2),f8(a1))),
% 180.83/180.85     inference(scs_inference,[],[4025,4000,3994,4031,4014,67,36,310,70,77,87,86,84,88,94,76,72,83,91,82,100,96,97,2,16,103,92,4,5,8,9,10,11,12,15])).
% 180.83/180.85  cnf(4093,plain,
% 180.83/180.85     (E(f10(a2,x40931),f10(a1,x40931))),
% 180.83/180.85     inference(scs_inference,[],[4025,4000,3994,4031,4014,67,36,310,70,77,87,86,84,88,94,76,72,83,91,82,100,96,97,2,16,103,92,4,5,8,9,10,11,12,15,6])).
% 180.83/180.85  cnf(4094,plain,
% 180.83/180.85     (E(f10(x40941,a2),f10(x40941,a1))),
% 180.83/180.85     inference(scs_inference,[],[4025,4000,3994,4031,4014,67,36,310,70,77,87,86,84,88,94,76,72,83,91,82,100,96,97,2,16,103,92,4,5,8,9,10,11,12,15,6,7])).
% 180.83/180.85  cnf(4095,plain,
% 180.83/180.85     (E(f9(a2,x40951),f9(a1,x40951))),
% 180.83/180.85     inference(scs_inference,[],[4025,4000,3994,4031,4014,67,36,310,70,77,87,86,84,88,94,76,72,83,91,82,100,96,97,2,16,103,92,4,5,8,9,10,11,12,15,6,7,13])).
% 180.83/180.85  cnf(4096,plain,
% 180.83/180.85     (E(f9(x40961,a2),f9(x40961,a1))),
% 180.83/180.85     inference(scs_inference,[],[4025,4000,3994,4031,4014,67,36,310,70,77,87,86,84,88,94,76,72,83,91,82,100,96,97,2,16,103,92,4,5,8,9,10,11,12,15,6,7,13,14])).
% 180.83/180.85  cnf(4102,plain,
% 180.83/180.85     (P16(f6(a1),f6(a2))),
% 180.83/180.85     inference(scs_inference,[],[4025,4000,3994,4031,4014,927,67,36,310,70,60,77,87,86,84,88,94,76,72,83,91,82,100,96,97,2,16,103,92,4,5,8,9,10,11,12,15,6,7,13,14,3959,80,101,17])).
% 180.83/180.85  cnf(4104,plain,
% 180.83/180.85     (~E(f6(a1),x41041)+E(f6(a2),x41041)),
% 180.83/180.85     inference(scs_inference,[],[4025,4000,3994,4031,4014,927,67,36,310,70,60,77,87,86,84,88,94,76,72,83,91,82,100,96,97,2,16,103,92,4,5,8,9,10,11,12,15,6,7,13,14,3959,80,101,17,3])).
% 180.83/180.85  cnf(4121,plain,
% 180.83/180.85     (P5(f6(a11),f15(a11))),
% 180.83/180.85     inference(scs_inference,[],[4087,66,338,87])).
% 180.83/180.85  cnf(4123,plain,
% 180.83/180.85     (P6(f7(a11))),
% 180.83/180.85     inference(scs_inference,[],[4087,66,338,87,77])).
% 180.83/180.85  cnf(4125,plain,
% 180.83/180.85     (E(f13(x41251),a1)),
% 180.83/180.85     inference(scs_inference,[],[4087,66,43,338,87,77,72])).
% 180.83/180.85  cnf(4127,plain,
% 180.83/180.85     (P5(f7(a11),f15(a11))),
% 180.83/180.85     inference(scs_inference,[],[4087,66,43,338,87,77,72,88])).
% 180.83/180.85  cnf(4129,plain,
% 180.83/180.85     (P5(a2,f15(x41291))),
% 180.83/180.85     inference(scs_inference,[],[4087,66,189,43,338,87,77,72,88,94])).
% 180.83/180.85  cnf(4131,plain,
% 180.83/180.85     (~P1(f6(a11))),
% 180.83/180.85     inference(scs_inference,[],[4087,66,189,43,338,87,77,72,88,94,83])).
% 180.83/180.85  cnf(4133,plain,
% 180.83/180.85     (~P1(f7(a11))),
% 180.83/180.85     inference(scs_inference,[],[4087,66,189,43,338,87,77,72,88,94,83,84])).
% 180.83/180.85  cnf(4137,plain,
% 180.83/180.85     (P16(f6(a2),f6(a1))),
% 180.83/180.85     inference(scs_inference,[],[4089,4087,4072,66,189,43,338,87,77,72,88,94,83,84,91,80])).
% 180.83/180.85  cnf(4139,plain,
% 180.83/180.85     (~P1(f12(a11))),
% 180.83/180.85     inference(scs_inference,[],[4089,4087,4072,66,189,43,338,87,77,72,88,94,83,84,91,80,82])).
% 180.83/180.85  cnf(4141,plain,
% 180.83/180.85     (P13(f9(a11,a2),a11)),
% 180.83/180.85     inference(scs_inference,[],[4089,4087,4072,4037,66,189,43,338,87,77,72,88,94,83,84,91,80,82,100])).
% 180.83/180.85  cnf(4143,plain,
% 180.83/180.85     (~P13(a11,f9(a11,a2))),
% 180.83/180.85     inference(scs_inference,[],[4089,4087,4072,4037,66,189,43,338,87,77,72,88,94,83,84,91,80,82,100,96])).
% 180.83/180.85  cnf(4147,plain,
% 180.83/180.85     (~E(f12(a3),a2)),
% 180.83/180.85     inference(scs_inference,[],[4089,4087,4072,4079,4037,3834,66,189,43,338,87,77,72,88,94,83,84,91,80,82,100,96,97,2])).
% 180.83/180.85  cnf(4148,plain,
% 180.83/180.85     (~E(f9(a3,a2),f16(a3))),
% 180.83/180.85     inference(scs_inference,[],[4089,4087,4072,4079,4037,3834,209,66,189,43,338,87,77,72,88,94,83,84,91,80,82,100,96,97,2,26])).
% 180.83/180.85  cnf(4149,plain,
% 180.83/180.85     (P14(a1)),
% 180.83/180.85     inference(scs_inference,[],[4064,4089,4087,4072,4079,4037,3834,276,209,66,189,43,338,87,77,72,88,94,83,84,91,80,82,100,96,97,2,26,29])).
% 180.83/180.85  cnf(4150,plain,
% 180.83/180.85     (~E(f16(a3),f16(a2))),
% 180.83/180.85     inference(scs_inference,[],[4064,4078,4089,4087,4088,4072,4079,4037,3834,276,209,66,189,43,338,87,77,72,88,94,83,84,91,80,82,100,96,97,2,26,29,3])).
% 180.83/180.85  cnf(4151,plain,
% 180.83/180.85     (P12(a1)),
% 180.83/180.85     inference(scs_inference,[],[4064,4078,4089,4087,4088,4072,4079,4037,3834,225,276,209,66,189,43,338,87,77,72,88,94,83,84,91,80,82,100,96,97,2,26,29,3,28])).
% 180.83/180.85  cnf(4152,plain,
% 180.83/180.85     (P11(a1)),
% 180.83/180.85     inference(scs_inference,[],[4064,4078,4089,4087,4088,4072,4079,4037,3834,225,245,276,209,66,189,43,338,87,77,72,88,94,83,84,91,80,82,100,96,97,2,26,29,3,28,32])).
% 180.83/180.85  cnf(4155,plain,
% 180.83/180.85     (P7(a1)),
% 180.83/180.85     inference(scs_inference,[],[4064,4078,4089,4087,4088,4072,4079,4037,3834,225,243,245,276,209,66,64,189,43,338,87,77,72,88,94,83,84,91,80,82,100,96,97,2,26,29,3,28,32,18,31])).
% 180.83/180.85  cnf(4156,plain,
% 180.83/180.85     (~E(f14(x41561),f6(a3))),
% 180.83/180.85     inference(scs_inference,[],[4064,4078,4089,3996,4087,4088,4072,4079,4037,3834,225,243,245,276,209,66,44,64,189,43,338,87,77,72,88,94,83,84,91,80,82,100,96,97,2,26,29,3,28,32,18,31,16])).
% 180.83/180.85  cnf(4158,plain,
% 180.83/180.85     (~P5(f15(x41581),f15(a1))),
% 180.83/180.85     inference(scs_inference,[],[4064,4082,4078,4089,3996,4087,4088,4074,4072,4079,4037,3834,225,243,245,276,209,66,44,35,64,189,183,43,338,87,77,72,88,94,83,84,91,80,82,100,96,97,2,26,29,3,28,32,18,31,16,27,103])).
% 180.83/180.85  cnf(4160,plain,
% 180.83/180.85     (~P16(f12(a3),a2)),
% 180.83/180.85     inference(scs_inference,[],[4064,4082,4078,4089,3996,4087,4088,4074,4072,4079,4037,3834,225,243,245,276,209,66,44,35,64,189,183,43,338,87,77,72,88,94,83,84,91,80,82,100,96,97,2,26,29,3,28,32,18,31,16,27,103,98])).
% 180.83/180.85  cnf(4168,plain,
% 180.83/180.85     (~E(f15(a3),f16(a2))),
% 180.83/180.85     inference(scs_inference,[],[4064,2312,4060,4082,4078,4089,3996,4087,4088,4074,4072,4079,4080,4037,3834,3172,225,243,245,276,3994,46,209,66,44,2309,35,64,189,183,43,338,87,77,72,88,94,83,84,91,80,82,100,96,97,2,26,29,3,28,32,18,31,16,27,103,98,21,22,92,99])).
% 180.83/180.85  cnf(4171,plain,
% 180.83/180.85     (P13(f13(x41711),f16(x41712))),
% 180.83/180.85     inference(scs_inference,[],[4064,2312,4060,4082,4078,4089,3996,4087,4088,4074,4072,4079,4080,4037,3834,3172,225,243,245,276,3994,46,209,66,44,2309,35,64,261,189,183,45,43,48,338,87,77,72,88,94,83,84,91,80,82,100,96,97,2,26,29,3,28,32,18,31,16,27,103,98,21,22,92,99,112])).
% 180.83/180.85  cnf(4172,plain,
% 180.83/180.85     (P16(f13(x41721),x41722)),
% 180.83/180.85     inference(rename_variables,[],[261])).
% 180.83/180.85  cnf(4174,plain,
% 180.83/180.85     (~E(f15(a3),f15(a2))),
% 180.83/180.85     inference(scs_inference,[],[4064,2312,4060,4082,4078,4089,3996,4087,4088,4074,4072,4079,4080,4037,3834,3172,225,243,245,276,3994,46,209,66,44,2309,35,64,261,189,183,45,43,48,338,87,77,72,88,94,83,84,91,80,82,100,96,97,2,26,29,3,28,32,18,31,16,27,103,98,21,22,92,99,112,1908])).
% 180.83/180.85  cnf(4177,plain,
% 180.83/180.85     (P15(a1)),
% 180.83/180.85     inference(scs_inference,[],[4064,2312,4060,4082,4078,4089,3996,4087,4088,4074,4072,4079,4080,4037,3834,3172,225,243,245,276,3994,249,46,209,66,44,2309,35,64,261,189,183,45,43,48,338,87,77,72,88,94,83,84,91,80,82,100,96,97,2,26,29,3,28,32,18,31,16,27,103,98,21,22,92,99,112,1908,3959,34])).
% 180.83/180.85  cnf(4178,plain,
% 180.83/180.85     (P8(a1)),
% 180.83/180.85     inference(scs_inference,[],[4064,2312,4060,4082,4078,4089,3996,4087,4088,4074,4072,4079,4080,4037,3834,3172,225,243,245,276,3994,241,249,46,209,66,44,2309,35,64,261,189,183,45,43,48,338,87,77,72,88,94,83,84,91,80,82,100,96,97,2,26,29,3,28,32,18,31,16,27,103,98,21,22,92,99,112,1908,3959,34,30])).
% 180.83/180.85  cnf(4179,plain,
% 180.83/180.85     (~E(f13(x41791),f12(a3))),
% 180.83/180.85     inference(scs_inference,[],[4064,2312,4060,4082,4078,4089,3996,4087,4088,4074,4072,4079,4080,4037,3834,3172,225,243,245,276,3994,241,249,46,209,66,44,2309,35,64,261,4172,189,183,45,43,48,338,87,77,72,88,94,83,84,91,80,82,100,96,97,2,26,29,3,28,32,18,31,16,27,103,98,21,22,92,99,112,1908,3959,34,30,17])).
% 180.83/180.85  cnf(4181,plain,
% 180.83/180.85     (P10(a1)),
% 180.83/180.85     inference(scs_inference,[],[4064,2312,4060,4082,4078,4089,3996,4087,4088,4074,4072,4079,4080,4037,3834,3172,225,243,245,276,3994,241,247,249,46,209,66,44,2309,35,64,261,4172,189,183,45,43,48,338,87,77,72,88,94,83,84,91,80,82,100,96,97,2,26,29,3,28,32,18,31,16,27,103,98,21,22,92,99,112,1908,3959,34,30,17,33])).
% 180.83/180.85  cnf(4186,plain,
% 180.83/180.85     (P15(f8(f15(a1)))),
% 180.83/180.85     inference(scs_inference,[],[4177,362])).
% 180.83/180.85  cnf(4187,plain,
% 180.83/180.85     (P8(f8(f15(a1)))),
% 180.83/180.85     inference(scs_inference,[],[4178,386])).
% 180.83/180.85  cnf(4188,plain,
% 180.83/180.85     (P7(f8(f15(a1)))),
% 180.83/180.85     inference(scs_inference,[],[4155,388])).
% 180.83/180.85  cnf(4189,plain,
% 180.83/180.85     (P11(f8(f15(a1)))),
% 180.83/180.85     inference(scs_inference,[],[4152,389])).
% 180.83/180.85  cnf(4190,plain,
% 180.83/180.85     (P10(f8(f15(a1)))),
% 180.83/180.85     inference(scs_inference,[],[4181,566])).
% 180.83/180.85  cnf(4191,plain,
% 180.83/180.85     (P14(f8(f15(a1)))),
% 180.83/180.85     inference(scs_inference,[],[4149,567])).
% 180.83/180.85  cnf(4192,plain,
% 180.83/180.85     (P12(f8(f15(a1)))),
% 180.83/180.85     inference(scs_inference,[],[4151,635])).
% 180.83/180.85  cnf(4193,plain,
% 180.83/180.85     (P5(x41931,f15(x41931))),
% 180.83/180.85     inference(scs_inference,[],[60,94])).
% 180.83/180.85  cnf(4195,plain,
% 180.83/180.85     (P5(f13(x41951),f16(x41952))),
% 180.83/180.85     inference(scs_inference,[],[4171,60,94,91])).
% 180.83/180.85  cnf(4197,plain,
% 180.83/180.85     (P16(f7(a2),f7(a1))),
% 180.83/180.85     inference(scs_inference,[],[4171,4090,60,94,91,80])).
% 180.83/180.85  cnf(4200,plain,
% 180.83/180.85     (P13(f9(a5,a1),a5)),
% 180.83/180.85     inference(scs_inference,[],[4171,4090,4158,3124,60,94,91,80,3959,100])).
% 180.83/180.85  cnf(4202,plain,
% 180.83/180.85     (~P13(a5,f9(a5,a1))),
% 180.83/180.85     inference(scs_inference,[],[4171,4090,4158,3124,60,94,91,80,3959,100,96])).
% 180.83/180.85  cnf(4207,plain,
% 180.83/180.85     (P16(f7(a1),f7(a2))),
% 180.83/180.85     inference(scs_inference,[],[4171,4090,4150,4158,4160,3124,60,94,91,80,3959,100,96,97,2,17])).
% 180.83/180.85  cnf(4209,plain,
% 180.83/180.85     (~P13(f16(a3),f6(a3))),
% 180.83/180.85     inference(scs_inference,[],[4171,4090,4150,4158,4004,4160,3124,346,60,94,91,80,3959,100,96,97,2,17,104])).
% 180.83/180.85  cnf(4211,plain,
% 180.83/180.85     (E(f10(a2,a2),f10(a1,a1))),
% 180.83/180.85     inference(scs_inference,[],[4171,4090,4150,4093,4094,4158,4004,4160,3124,346,60,94,91,80,3959,100,96,97,2,17,104,3])).
% 180.83/180.85  cnf(4214,plain,
% 180.83/180.85     (E(f6(a1),f6(a2))),
% 180.83/180.85     inference(scs_inference,[],[4171,4090,4150,4093,4094,4158,4004,4102,4137,4160,3124,346,60,94,91,80,3959,100,96,97,2,17,104,3,98])).
% 180.83/180.85  cnf(4216,plain,
% 180.83/180.85     (~E(f14(x42161),f7(a3))),
% 180.83/180.85     inference(scs_inference,[],[4171,4090,4150,4093,4094,4158,3998,4004,4102,4137,4160,3124,346,44,60,94,91,80,3959,100,96,97,2,17,104,3,98,16])).
% 180.83/180.85  cnf(4217,plain,
% 180.83/180.85     (~P16(f12(a3),f13(a2))),
% 180.83/180.85     inference(scs_inference,[],[4171,4090,4150,4093,4094,4158,3998,4004,4102,4137,4160,3124,346,44,60,219,94,91,80,3959,100,96,97,2,17,104,3,98,16,18])).
% 180.83/180.85  cnf(4218,plain,
% 180.83/180.85     (P5(f8(a2),f13(a1))),
% 180.83/180.85     inference(scs_inference,[],[4171,4085,4090,4150,4093,4094,4158,3998,4004,4102,4137,4160,3124,346,268,44,60,219,94,91,80,3959,100,96,97,2,17,104,3,98,16,18,22])).
% 180.83/180.85  cnf(4219,plain,
% 180.83/180.85     (P13(f12(a11),f15(a11))),
% 180.83/180.85     inference(scs_inference,[],[4171,4002,4085,4090,4150,4093,4094,4158,3998,4004,4102,4137,4160,3124,346,268,44,70,60,219,94,91,80,3959,100,96,97,2,17,104,3,98,16,18,22,92])).
% 180.83/180.85  cnf(4222,plain,
% 180.83/180.85     (P5(f8(a1),f13(a2))),
% 180.83/180.85     inference(scs_inference,[],[4171,4002,4085,4090,4092,4150,4093,4094,4158,3998,4004,4102,4137,4160,3124,346,268,44,70,60,219,94,91,80,3959,100,96,97,2,17,104,3,98,16,18,22,92,21])).
% 180.83/180.85  cnf(4223,plain,
% 180.83/180.85     (~E(a1,f12(a3))),
% 180.83/180.85     inference(scs_inference,[],[4171,4002,4085,4090,4092,4150,4093,4094,4158,3998,4004,4102,4137,4160,3124,346,268,44,70,60,219,94,91,80,3959,100,96,97,2,17,104,3,98,16,18,22,92,21,3943])).
% 180.83/180.85  cnf(4227,plain,
% 180.83/180.85     (P5(f9(a5,a1),a5)),
% 180.83/180.85     inference(scs_inference,[],[4200,91])).
% 180.83/180.85  cnf(4229,plain,
% 180.83/180.85     (P16(f10(a2,a2),f10(a1,a1))),
% 180.83/180.85     inference(scs_inference,[],[4211,4200,91,80])).
% 180.83/180.85  cnf(4231,plain,
% 180.83/180.85     (P13(f9(a3,a1),a3)),
% 180.83/180.85     inference(scs_inference,[],[4211,4200,3148,91,80,100])).
% 180.83/180.85  cnf(4233,plain,
% 180.83/180.85     (~P13(f15(a11),f12(a11))),
% 180.83/180.85     inference(scs_inference,[],[4211,4219,4200,3148,91,80,100,96])).
% 180.83/180.85  cnf(4235,plain,
% 180.83/180.85     (~P5(f16(x42351),f15(a1))),
% 180.83/180.85     inference(scs_inference,[],[4211,4219,4200,3776,3148,91,80,100,96,97])).
% 180.83/180.85  cnf(4237,plain,
% 180.83/180.85     (~E(f15(a2),f15(a3))),
% 180.83/180.85     inference(scs_inference,[],[4211,4174,4219,4200,3776,3148,91,80,100,96,97,2])).
% 180.83/180.85  cnf(4238,plain,
% 180.83/180.85     (~E(f14(x42381),f12(a3))),
% 180.83/180.85     inference(scs_inference,[],[4211,4174,4217,4219,4200,3776,3148,310,91,80,100,96,97,2,17])).
% 180.83/180.85  cnf(4239,plain,
% 180.83/180.85     (P16(f14(x42391),x42392)),
% 180.83/180.85     inference(rename_variables,[],[310])).
% 180.83/180.85  cnf(4240,plain,
% 180.83/180.85     (~P5(a5,f15(a1))),
% 180.83/180.85     inference(scs_inference,[],[4211,4174,4217,4219,4200,3776,3148,35,310,91,80,100,96,97,2,17,103])).
% 180.83/180.85  cnf(4245,plain,
% 180.83/180.85     (~P13(a5,f9(a5,a2))),
% 180.83/180.85     inference(scs_inference,[],[4193,4211,4174,4217,4219,4202,4200,4096,4141,3776,3148,35,310,91,80,100,96,97,2,17,103,104,27])).
% 180.83/180.85  cnf(4246,plain,
% 180.83/180.85     (E(f9(x42461,a2),f9(x42461,a1))),
% 180.83/180.85     inference(rename_variables,[],[4096])).
% 180.83/180.85  cnf(4247,plain,
% 180.83/180.85     (~P16(f6(a3),f14(x42471))),
% 180.83/180.85     inference(scs_inference,[],[4193,4211,4174,4156,4217,4219,4202,4200,4096,4141,3776,3148,35,310,4239,91,80,100,96,97,2,17,103,104,27,98])).
% 180.83/180.85  cnf(4251,plain,
% 180.83/180.85     (~E(f9(a3,a1),f16(a3))),
% 180.83/180.85     inference(scs_inference,[],[4193,4211,4174,4156,4148,4217,4219,4202,4200,4096,4246,4141,3776,3148,35,310,4239,91,80,100,96,97,2,17,103,104,27,98,3])).
% 180.83/180.85  cnf(4253,plain,
% 180.83/180.85     (~E(a1,f7(a5))),
% 180.83/180.85     inference(scs_inference,[],[4193,4211,4174,4156,4148,4056,4217,4219,4202,4200,4096,4246,4141,3776,3148,35,310,4239,91,80,100,96,97,2,17,103,104,27,98,3,16])).
% 180.83/180.85  cnf(4256,plain,
% 180.83/180.85     (~P5(a11,f16(a2))),
% 180.83/180.85     inference(scs_inference,[],[4193,4211,4174,4156,4148,4056,4209,4217,4219,4202,4200,4096,4246,4141,3130,3776,3996,3148,4088,35,310,4239,91,80,100,96,97,2,17,103,104,27,98,3,16,92,22])).
% 180.83/180.85  cnf(4264,plain,
% 180.83/180.85     (~P16(f16(a4),f8(f15(a1)))),
% 180.83/180.85     inference(scs_inference,[],[4235,1972])).
% 180.83/180.85  cnf(4267,plain,
% 180.83/180.85     (P16(f12(a2),f12(a1))),
% 180.83/180.85     inference(scs_inference,[],[4091,4231,91,80])).
% 180.83/180.85  cnf(4270,plain,
% 180.83/180.85     (~P13(a3,f9(a3,a1))),
% 180.83/180.85     inference(scs_inference,[],[4091,4231,4240,91,80,3959,96])).
% 180.83/180.85  cnf(4274,plain,
% 180.83/180.85     (~E(f12(a3),a1)),
% 180.83/180.85     inference(scs_inference,[],[4091,4223,4231,4240,3109,91,80,3959,96,97,2])).
% 180.83/180.85  cnf(4275,plain,
% 180.83/180.85     (P16(f12(a1),f12(a2))),
% 180.83/180.85     inference(scs_inference,[],[4091,4223,4231,4240,3109,60,91,80,3959,96,97,2,17])).
% 180.83/180.85  cnf(4277,plain,
% 180.83/180.85     (~P13(f16(a3),f7(a3))),
% 180.83/180.85     inference(scs_inference,[],[4091,4006,4223,4231,4240,3109,346,60,91,80,3959,96,97,2,17,104])).
% 180.83/180.85  cnf(4279,plain,
% 180.83/180.85     (E(f7(a1),f7(a2))),
% 180.83/180.85     inference(scs_inference,[],[4091,4006,4223,4197,4207,4231,4240,3109,346,60,91,80,3959,96,97,2,17,104,98])).
% 180.83/180.85  cnf(4282,plain,
% 180.83/180.85     (E(f9(a2,a2),f9(a1,a1))),
% 180.83/180.85     inference(scs_inference,[],[4091,4006,4223,4095,4197,4207,4231,4240,4096,3109,3112,346,4088,60,91,80,3959,96,97,2,17,104,98,27,3])).
% 180.83/180.85  cnf(4285,plain,
% 180.83/180.85     (~E(a2,f6(a5))),
% 180.83/180.85     inference(scs_inference,[],[4091,4006,4223,4095,4066,4197,4207,4231,4240,4096,3109,3112,346,4088,36,60,91,80,3959,96,97,2,17,104,98,27,3,16])).
% 180.83/180.85  cnf(4286,plain,
% 180.83/180.85     (P13(f12(a5),f15(a5))),
% 180.83/180.85     inference(scs_inference,[],[4054,4091,4006,4223,4095,4066,4197,4207,4231,4240,4096,3109,3112,346,4088,36,70,60,91,80,3959,96,97,2,17,104,98,27,3,16,92])).
% 180.83/180.85  cnf(4290,plain,
% 180.83/180.85     (E(f13(x42901),a1)),
% 180.83/180.85     inference(rename_variables,[],[4125])).
% 180.83/180.85  cnf(4291,plain,
% 180.83/180.85     (P5(a1,f16(x42911))),
% 180.83/180.85     inference(scs_inference,[],[4195,4054,4091,4006,4223,4095,4066,4197,4207,4218,4231,4240,4125,4290,4096,3109,3112,346,4088,36,70,60,91,80,3959,96,97,2,17,104,98,27,3,16,92,22,21])).
% 180.83/180.85  cnf(4295,plain,
% 180.83/180.85     (~P13(x42951,f10(a2,a2))+P13(x42951,f10(a1,a1))),
% 180.83/180.85     inference(scs_inference,[],[4195,4229,4054,4091,4006,4223,4095,4066,4197,4207,4218,4231,4240,4125,4290,4096,4141,39,3109,3112,346,4088,36,70,60,91,80,3959,96,97,2,17,104,98,27,3,16,92,22,21,93,101])).
% 180.83/180.85  cnf(4299,plain,
% 180.83/180.85     (P16(f9(a2,a2),f9(a1,a1))),
% 180.83/180.85     inference(scs_inference,[],[4282,142,91,80])).
% 180.83/180.85  cnf(4301,plain,
% 180.83/180.85     (~P13(f15(a5),f12(a5))),
% 180.83/180.85     inference(scs_inference,[],[4282,4286,142,91,80,96])).
% 180.83/180.85  cnf(4305,plain,
% 180.83/180.85     (~E(f16(a2),f15(a3))),
% 180.83/180.85     inference(scs_inference,[],[4168,4282,4286,3148,142,91,80,96,97,2])).
% 180.83/180.85  cnf(4307,plain,
% 180.83/180.85     (P5(x43071,f15(x43071))),
% 180.83/180.85     inference(rename_variables,[],[4193])).
% 180.83/180.85  cnf(4309,plain,
% 180.83/180.85     (~E(f13(x43091),f6(a3))),
% 180.83/180.85     inference(scs_inference,[],[4168,4247,4282,4286,4193,3148,261,142,286,91,80,96,97,2,104,17])).
% 180.83/180.85  cnf(4310,plain,
% 180.83/180.85     (P16(f13(x43101),x43102)),
% 180.83/180.85     inference(rename_variables,[],[261])).
% 180.83/180.85  cnf(4311,plain,
% 180.83/180.85     (~P16(f12(a3),f13(x43111))),
% 180.83/180.85     inference(scs_inference,[],[4168,4179,4247,4282,4286,4193,3148,261,4310,142,286,91,80,96,97,2,104,17,98])).
% 180.83/180.85  cnf(4318,plain,
% 180.83/180.85     (~E(f14(x43181),f12(a5))),
% 180.83/180.85     inference(scs_inference,[],[4168,4179,4247,4070,4139,4233,4237,4282,4286,4193,4087,3148,44,261,4310,142,286,91,80,96,97,2,104,17,98,92,3,16])).
% 180.83/180.85  cnf(4319,plain,
% 180.83/180.85     (~E(a2,a5)),
% 180.83/180.85     inference(scs_inference,[],[4168,4179,4247,4070,4129,4139,4233,4237,4282,4286,4193,4240,4087,3148,44,261,4310,142,286,91,80,96,97,2,104,17,98,92,3,16,21])).
% 180.83/180.85  cnf(4321,plain,
% 180.83/180.85     (~E(f15(a11),f16(a2))),
% 180.83/180.85     inference(scs_inference,[],[4168,4179,4247,4070,4129,4139,4233,4237,4282,4286,4256,4193,4307,4240,4087,3148,44,261,4310,142,286,91,80,96,97,2,104,17,98,92,3,16,21,22])).
% 180.83/180.85  cnf(4328,plain,
% 180.83/180.85     (P16(f8(a2),f8(a1))),
% 180.83/180.85     inference(scs_inference,[],[4092,80])).
% 180.83/180.85  cnf(4330,plain,
% 180.83/180.85     (P5(a3,f16(a3))),
% 180.83/180.85     inference(scs_inference,[],[4092,183,80,91])).
% 180.83/180.85  cnf(4332,plain,
% 180.83/180.85     (~E(f7(a3),f14(x43321))),
% 180.83/180.85     inference(scs_inference,[],[4216,4092,183,80,91,2])).
% 180.83/180.85  cnf(4333,plain,
% 180.83/180.85     (P16(f8(a1),f8(a2))),
% 180.83/180.85     inference(scs_inference,[],[4216,4092,183,60,80,91,2,17])).
% 180.83/180.85  cnf(4335,plain,
% 180.83/180.85     (E(f12(a1),f12(a2))),
% 180.83/180.85     inference(scs_inference,[],[4216,4267,4275,4092,183,60,80,91,2,17,98])).
% 180.83/180.85  cnf(4341,plain,
% 180.83/180.85     (~E(a1,f6(a3))),
% 180.83/180.85     inference(scs_inference,[],[4052,4216,4309,4267,4275,4092,4125,3127,4088,70,183,60,80,91,2,17,98,92,27,3])).
% 180.83/180.85  cnf(4343,plain,
% 180.83/180.85     (~E(a2,f6(a11))),
% 180.83/180.85     inference(scs_inference,[],[4052,4216,4309,4131,4267,4275,4092,4125,3127,4088,36,70,183,60,80,91,2,17,98,92,27,3,16])).
% 180.83/180.85  cnf(4345,plain,
% 180.83/180.85     (~P13(f15(a5),f6(a5))),
% 180.83/180.85     inference(scs_inference,[],[4052,4216,4309,4131,4222,4267,4275,4092,4085,4125,3127,4088,36,70,183,60,80,91,2,17,98,92,27,3,16,22,96])).
% 180.83/180.85  cnf(4348,plain,
% 180.83/180.85     (~P5(a5,f15(a2))),
% 180.83/180.85     inference(scs_inference,[],[4052,4216,4309,4131,4222,4267,4275,4301,4092,4085,4125,4200,3127,4088,36,70,183,60,80,91,2,17,98,92,27,3,16,22,96,26,103])).
% 180.83/180.85  cnf(4350,plain,
% 180.83/180.85     (~E(a1,x43501)+P15(x43501)),
% 180.83/180.85     inference(scs_inference,[],[4177,4052,4216,4309,4131,4222,4267,4275,4301,4092,4085,4125,4200,3127,4088,36,70,183,60,80,91,2,17,98,92,27,3,16,22,96,26,103,34])).
% 180.83/180.85  cnf(4353,plain,
% 180.83/180.85     (P16(f10(a2,x43531),f10(a1,x43531))),
% 180.83/180.85     inference(scs_inference,[],[4093,80])).
% 180.83/180.85  cnf(4356,plain,
% 180.83/180.85     (~P16(a5,a2)),
% 180.83/180.85     inference(scs_inference,[],[4319,4251,4093,189,80,2,98])).
% 180.83/180.85  cnf(4360,plain,
% 180.83/180.85     (P16(f14(x43601),x43602)),
% 180.83/180.85     inference(rename_variables,[],[310])).
% 180.83/180.85  cnf(4363,plain,
% 180.83/180.85     (~E(f16(a1),f15(a3))),
% 180.83/180.85     inference(scs_inference,[],[4319,4251,4305,4345,3009,4066,4093,4088,310,189,80,2,98,17,92,3])).
% 180.83/180.85  cnf(4364,plain,
% 180.83/180.85     (~E(f14(x43641),f7(a11))),
% 180.83/180.85     inference(scs_inference,[],[4319,4251,4133,4305,4345,3009,4066,4093,4088,44,310,189,80,2,98,17,92,3,16])).
% 180.83/180.85  cnf(4365,plain,
% 180.83/180.85     (~E(f15(a5),f15(a2))),
% 180.83/180.85     inference(scs_inference,[],[4319,4251,4133,4305,4345,4348,3009,4066,4093,4193,4088,44,310,189,80,2,98,17,92,3,16,22])).
% 180.83/180.85  cnf(4367,plain,
% 180.83/180.85     (P13(f9(a5,a2),a5)),
% 180.83/180.85     inference(scs_inference,[],[4319,4251,4133,4305,4345,4348,3009,4066,4093,4193,4088,44,310,189,80,2,98,17,92,3,16,22,100])).
% 180.83/180.85  cnf(4370,plain,
% 180.83/180.85     (P13(f14(x43701),f16(x43702))),
% 180.83/180.85     inference(scs_inference,[],[4319,4251,4133,4305,4345,4348,4123,4012,3009,4066,4093,4193,4088,44,310,4360,189,48,80,2,98,17,92,3,16,22,100,19,112])).
% 180.83/180.85  cnf(4380,plain,
% 180.83/180.85     (P16(f10(x43801,a2),f10(x43801,a1))),
% 180.83/180.85     inference(scs_inference,[],[4370,4094,91,80])).
% 180.83/180.85  cnf(4382,plain,
% 180.83/180.85     (~E(f12(a3),f14(x43821))),
% 180.83/180.85     inference(scs_inference,[],[4370,4238,4094,91,80,2])).
% 180.83/180.85  cnf(4383,plain,
% 180.83/180.85     (E(f8(a1),f8(a2))),
% 180.83/180.85     inference(scs_inference,[],[4370,4238,4328,4333,4094,91,80,2,98])).
% 180.83/180.85  cnf(4385,plain,
% 180.83/180.85     (P16(f10(a1,a1),f10(a1,a2))),
% 180.83/180.85     inference(scs_inference,[],[4370,4353,4238,4328,4333,4211,4094,91,80,2,98,17])).
% 180.83/180.85  cnf(4390,plain,
% 180.83/180.85     (~E(a1,f7(a3))),
% 180.83/180.85     inference(scs_inference,[],[4370,4058,4353,4238,4328,4333,3998,4211,4094,35,70,91,80,2,98,17,92,16])).
% 180.83/180.85  cnf(4392,plain,
% 180.83/180.85     (~P13(f15(a5),f7(a5))),
% 180.83/180.85     inference(scs_inference,[],[4370,4058,4353,4238,4328,4333,3998,4222,4211,4094,35,70,219,91,80,2,98,17,92,16,22,96])).
% 180.83/180.85  cnf(4394,plain,
% 180.83/180.85     (~P13(x43941,f12(a1))+P13(x43941,f12(a2))),
% 180.83/180.85     inference(scs_inference,[],[4370,4058,4353,4238,4328,4333,4335,3998,4222,4211,4094,35,70,219,91,80,2,98,17,92,16,22,96,27])).
% 180.83/180.85  cnf(4398,plain,
% 180.83/180.85     (P16(f9(a2,x43981),f9(a1,x43981))),
% 180.83/180.85     inference(scs_inference,[],[4095,80])).
% 180.83/180.85  cnf(4407,plain,
% 180.83/180.85     (~P5(f15(a5),f7(a5))),
% 180.83/180.85     inference(scs_inference,[],[4318,4392,4367,4056,4095,310,80,91,2,98,92])).
% 180.83/180.85  cnf(4409,plain,
% 180.83/180.85     (~E(f13(x44091),f12(a5))),
% 180.83/180.85     inference(scs_inference,[],[4318,4392,4367,4056,4095,261,310,80,91,2,98,92,17])).
% 180.83/180.85  cnf(4412,plain,
% 180.83/180.85     (~E(f14(x44121),f7(a5))),
% 180.83/180.85     inference(scs_inference,[],[4318,4392,4367,4056,4095,3151,4088,44,261,310,80,91,2,98,92,17,27,16])).
% 180.83/180.85  cnf(4413,plain,
% 180.83/180.85     (~E(f16(a3),f15(a2))),
% 180.83/180.85     inference(scs_inference,[],[4330,4318,4392,4367,4076,4056,4095,3151,4088,44,261,310,80,91,2,98,92,17,27,16,22])).
% 180.83/180.85  cnf(4414,plain,
% 180.83/180.85     (~E(f9(a1,a1),x44141)+E(f9(a2,a2),x44141)),
% 180.83/180.85     inference(scs_inference,[],[4330,4318,4392,4367,4076,4056,4282,4095,3151,4088,44,261,310,80,91,2,98,92,17,27,16,22,3])).
% 180.83/180.85  cnf(4419,plain,
% 180.83/180.85     (P16(f9(x44191,a2),f9(x44191,a1))),
% 180.83/180.85     inference(scs_inference,[],[4096,80])).
% 180.83/180.85  cnf(4421,plain,
% 180.83/180.85     (~E(f7(a11),f14(x44211))),
% 180.83/180.85     inference(scs_inference,[],[4364,4096,80,2])).
% 180.83/180.85  cnf(4422,plain,
% 180.83/180.85     (E(f10(a1,a1),f10(a1,a2))),
% 180.83/180.85     inference(scs_inference,[],[4385,4380,4364,4096,80,2,98])).
% 180.83/180.85  cnf(4423,plain,
% 180.83/180.85     (P16(f10(x44231,a2),f10(x44231,a1))),
% 180.83/180.85     inference(rename_variables,[],[4380])).
% 180.83/180.85  cnf(4428,plain,
% 180.83/180.85     (P16(f10(a1,a1),f10(a2,a1))),
% 180.83/180.85     inference(scs_inference,[],[4385,4121,4380,4423,4364,4211,4096,70,80,2,98,92,17])).
% 180.83/180.85  cnf(4430,plain,
% 180.83/180.85     (~E(a1,f12(a5))),
% 180.83/180.85     inference(scs_inference,[],[4385,4121,4380,4423,4364,4409,4211,4125,4096,70,80,2,98,92,17,3])).
% 180.83/180.85  cnf(4432,plain,
% 180.83/180.85     (~E(a1,f6(a11))),
% 180.83/180.85     inference(scs_inference,[],[4385,4121,4380,4423,4364,4409,4131,4211,4125,4096,35,70,80,2,98,92,17,3,16])).
% 180.83/180.85  cnf(4433,plain,
% 180.83/180.85     (~P13(f15(a11),f6(a11))),
% 180.83/180.85     inference(scs_inference,[],[4385,4121,4380,4423,4364,4409,4131,4211,4125,4096,35,70,80,2,98,92,17,3,16,96])).
% 180.83/180.85  cnf(4441,plain,
% 180.83/180.85     (P16(f16(a2),f16(a1))),
% 180.83/180.85     inference(scs_inference,[],[4088,80])).
% 180.83/180.85  cnf(4443,plain,
% 180.83/180.85     (~E(f7(a5),f14(x44431))),
% 180.83/180.85     inference(scs_inference,[],[4412,4088,80,2])).
% 180.83/180.85  cnf(4444,plain,
% 180.83/180.85     (~P5(f15(a11),f6(a11))),
% 180.83/180.85     inference(scs_inference,[],[4412,4433,4131,4088,80,2,92])).
% 180.83/180.85  cnf(4446,plain,
% 180.83/180.85     (~P16(f7(a3),f14(x44461))),
% 180.83/180.85     inference(scs_inference,[],[4332,4412,4433,4131,4088,310,80,2,92,98])).
% 180.83/180.85  cnf(4450,plain,
% 180.83/180.85     (~E(f13(x44501),f7(a3))),
% 180.83/180.85     inference(scs_inference,[],[4332,4412,4433,4131,4088,261,310,80,2,92,98,17])).
% 180.83/180.85  cnf(4452,plain,
% 180.83/180.85     (E(f10(a2,a1),f10(a1,a2))),
% 180.83/180.85     inference(scs_inference,[],[4422,4332,4412,4433,4131,4093,4088,261,310,80,2,92,98,17,3])).
% 180.83/180.85  cnf(4455,plain,
% 180.83/180.85     (~P13(x44551,f10(a1,a1))+P13(x44551,f10(a1,a2))),
% 180.83/180.85     inference(scs_inference,[],[4422,4332,4412,4433,4070,4131,4093,4088,36,261,310,80,2,92,98,17,3,16,27])).
% 180.83/180.85  cnf(4465,plain,
% 180.83/180.85     (P16(f10(a2,a1),f10(a1,a2))),
% 180.83/180.85     inference(scs_inference,[],[4452,80])).
% 180.83/180.85  cnf(4467,plain,
% 180.83/180.85     (~E(f7(a3),f13(x44671))),
% 180.83/180.85     inference(scs_inference,[],[4452,4450,80,2])).
% 180.83/180.85  cnf(4468,plain,
% 180.83/180.85     (E(f10(a1,a1),f10(a2,a1))),
% 180.83/180.85     inference(scs_inference,[],[4428,4452,4450,4353,80,2,98])).
% 180.83/180.85  cnf(4476,plain,
% 180.83/180.85     (~E(f14(x44761),f12(a11))),
% 180.83/180.85     inference(scs_inference,[],[4428,4452,4127,4450,4147,4353,4139,4422,44,70,219,80,2,98,92,17,3,16])).
% 180.83/180.85  cnf(4477,plain,
% 180.83/180.85     (~P13(f15(a11),f7(a11))),
% 180.83/180.85     inference(scs_inference,[],[4428,4452,4127,4450,4147,4353,4139,4422,44,70,219,80,2,98,92,17,3,16,96])).
% 180.83/180.85  cnf(4479,plain,
% 180.83/180.85     (~P13(x44791,f10(a1,a1))+P13(x44791,f10(a2,a1))),
% 180.83/180.85     inference(scs_inference,[],[4428,4452,4127,4450,4147,4353,4139,4422,44,70,219,80,2,98,92,17,3,16,96,101])).
% 180.83/180.85  cnf(4494,plain,
% 180.83/180.85     (~E(f12(a11),f14(x44941))),
% 180.83/180.85     inference(scs_inference,[],[4476,2])).
% 180.83/180.85  cnf(4495,plain,
% 180.83/180.85     (~P5(f15(a11),f7(a11))),
% 180.83/180.85     inference(scs_inference,[],[4476,4477,4133,2,92])).
% 180.83/180.85  cnf(4497,plain,
% 180.83/180.85     (~P16(f12(a3),f14(x44971))),
% 180.83/180.85     inference(scs_inference,[],[4382,4476,4477,4133,310,2,92,98])).
% 180.83/180.85  cnf(4501,plain,
% 180.83/180.85     (E(f10(a1,a2),f10(a2,a1))),
% 180.83/180.85     inference(scs_inference,[],[4468,4382,4476,4477,4133,4094,310,2,92,98,3])).
% 180.83/180.85  cnf(4503,plain,
% 180.83/180.85     (~E(a1,f7(a11))),
% 180.83/180.85     inference(scs_inference,[],[4468,4382,4476,4477,4133,4094,35,310,2,92,98,3,16])).
% 180.83/180.85  cnf(4504,plain,
% 180.83/180.85     (~P13(x45041,f7(a1))+P13(x45041,f7(a2))),
% 180.83/180.85     inference(scs_inference,[],[4468,4382,4476,4477,4279,4133,4094,35,310,2,92,98,3,16,27])).
% 180.83/180.85  cnf(4510,plain,
% 180.83/180.85     (~E(f12(a5),a1)),
% 180.83/180.85     inference(scs_inference,[],[4430,2])).
% 180.83/180.85  cnf(4511,plain,
% 180.83/180.85     (~P16(f7(a3),f13(x45111))),
% 180.83/180.85     inference(scs_inference,[],[4467,4430,261,2,98])).
% 180.83/180.85  cnf(4517,plain,
% 180.83/180.85     (~E(a1,f6(a5))),
% 180.83/180.85     inference(scs_inference,[],[4467,4430,4291,4285,4064,261,71,2,98,92,3])).
% 180.83/180.85  cnf(4518,plain,
% 180.83/180.85     (~E(f14(x45181),f6(a5))),
% 180.83/180.85     inference(scs_inference,[],[4467,4430,4291,4285,4066,4064,44,261,71,2,98,92,3,16])).
% 180.83/180.85  cnf(4519,plain,
% 180.83/180.85     (~P13(a5,x45191)+~E(x45191,f9(a5,a2))),
% 180.83/180.85     inference(scs_inference,[],[4467,4430,4291,4285,4245,4066,4064,44,261,71,2,98,92,3,16,27])).
% 180.83/180.85  cnf(4523,plain,
% 180.83/180.85     (~E(f6(a5),f14(x45231))),
% 180.83/180.85     inference(scs_inference,[],[4518,2])).
% 180.83/180.85  cnf(4524,plain,
% 180.83/180.85     (~P5(f15(a5),f12(a5))),
% 180.83/180.85     inference(scs_inference,[],[4518,4301,4070,2,92])).
% 180.83/180.85  cnf(4530,plain,
% 180.83/180.85     (~E(f13(x45301),f7(a11))),
% 180.83/180.85     inference(scs_inference,[],[4421,4518,4301,4070,261,310,2,92,98,17])).
% 180.83/180.85  cnf(4532,plain,
% 180.83/180.85     (~P16(f7(a3),a2)),
% 180.83/180.85     inference(scs_inference,[],[4421,4511,4518,4301,4070,261,310,239,2,92,98,17,18])).
% 180.83/180.85  cnf(4534,plain,
% 180.83/180.85     (~P13(x45341,f10(a1,a2))+P13(x45341,f10(a2,a1))),
% 180.83/180.85     inference(scs_inference,[],[4421,4511,4518,4501,4301,4070,261,310,239,2,92,98,17,18,27])).
% 180.83/180.85  cnf(4535,plain,
% 180.83/180.85     (~E(a2,f6(a3))),
% 180.83/180.85     inference(scs_inference,[],[4421,4511,4518,4501,4301,3996,4070,36,261,310,239,2,92,98,17,18,27,16])).
% 180.83/180.85  cnf(4549,plain,
% 180.83/180.85     (~E(f7(a11),f13(x45491))),
% 180.83/180.85     inference(scs_inference,[],[4530,4532,97,2])).
% 180.83/180.85  cnf(4550,plain,
% 180.83/180.85     (~P16(f12(a3),a1)),
% 180.83/180.85     inference(scs_inference,[],[4530,4274,4532,121,97,2,98])).
% 180.83/180.85  cnf(4556,plain,
% 180.83/180.85     (P16(f9(a1,a1),f9(a1,a2))),
% 180.83/180.85     inference(scs_inference,[],[4398,4530,4274,4532,4060,4282,70,121,97,2,98,92,17])).
% 180.83/180.85  cnf(4558,plain,
% 180.83/180.85     (~P5(a5,f16(a2))),
% 180.83/180.85     inference(scs_inference,[],[4398,4530,4274,4532,3142,4060,4282,4088,70,121,97,2,98,92,17,22])).
% 180.83/180.85  cnf(4561,plain,
% 180.83/180.85     (~E(a2,f7(a3))),
% 180.83/180.85     inference(scs_inference,[],[4398,4530,4274,4532,3142,4060,3998,4282,4088,36,70,121,219,97,2,98,92,17,22,3,16])).
% 180.83/180.85  cnf(4564,plain,
% 180.83/180.85     (~P13(x45641,f10(a2,a1))+P13(x45641,f10(a1,a2))),
% 180.83/180.85     inference(scs_inference,[],[4465,4398,4530,4274,4532,3142,4060,3998,4282,4088,36,70,121,219,97,2,98,92,17,22,3,16,1908,101])).
% 180.83/180.85  cnf(4575,plain,
% 180.83/180.85     (~P5(f12(a3),f15(a1))),
% 180.83/180.85     inference(scs_inference,[],[4550,97])).
% 180.83/180.85  cnf(4580,plain,
% 180.83/180.85     (~P16(f7(a3),a1)),
% 180.83/180.85     inference(scs_inference,[],[4390,4550,4277,3998,121,97,2,92,98])).
% 180.83/180.85  cnf(4583,plain,
% 180.83/180.85     (~E(a1,f12(a11))),
% 180.83/180.85     inference(scs_inference,[],[4390,4550,4277,4139,3998,35,121,97,2,92,98,16])).
% 180.83/180.85  cnf(4590,plain,
% 180.83/180.85     (~P5(f7(a3),f15(a1))),
% 180.83/180.85     inference(scs_inference,[],[4580,97])).
% 180.83/180.85  cnf(4592,plain,
% 180.83/180.85     (~E(f7(a11),a1)),
% 180.83/180.85     inference(scs_inference,[],[4503,4580,97,2])).
% 180.83/180.85  cnf(4593,plain,
% 180.83/180.85     (E(f9(a1,a1),f9(a1,a2))),
% 180.83/180.85     inference(scs_inference,[],[4503,4419,4556,4580,97,2,98])).
% 180.83/180.85  cnf(4604,plain,
% 180.83/180.85     (~P13(f15(a3),f6(a3))),
% 180.83/180.85     inference(scs_inference,[],[4503,4419,4556,4580,4004,251,189,70,48,97,2,98,92,112,91,96])).
% 180.83/180.85  cnf(4606,plain,
% 180.83/180.85     (~P13(x46061,f8(a1))+P13(x46061,f8(a2))),
% 180.83/180.85     inference(scs_inference,[],[4503,4419,4556,4580,4383,4004,251,189,70,48,97,2,98,92,112,91,96,27])).
% 180.83/180.85  cnf(4612,plain,
% 180.83/180.85     (~E(f6(a3),a1)),
% 180.83/180.85     inference(scs_inference,[],[4341,2])).
% 180.83/180.85  cnf(4615,plain,
% 180.83/180.85     (~P16(f7(a5),f14(x46151))),
% 180.83/180.85     inference(scs_inference,[],[4443,4341,4604,3996,310,2,92,98])).
% 180.83/180.85  cnf(4621,plain,
% 180.83/180.85     (P16(f9(a2,a1),f9(a1,a2))),
% 180.83/180.85     inference(scs_inference,[],[4593,4443,4341,4604,4095,3996,310,2,92,98,3,80])).
% 180.83/180.85  cnf(4623,plain,
% 180.83/180.85     (~P13(f15(a3),x46231)+~E(x46231,f6(a3))),
% 180.83/180.85     inference(scs_inference,[],[4593,4443,4341,4604,4095,3996,310,2,92,98,3,80,27])).
% 180.83/180.85  cnf(4628,plain,
% 180.83/180.85     (~E(f13(x46281),f7(a5))),
% 180.83/180.85     inference(scs_inference,[],[4615,4432,261,2,17])).
% 180.83/180.85  cnf(4630,plain,
% 180.83/180.85     (P13(f7(a3),f15(a3))),
% 180.83/180.85     inference(scs_inference,[],[4615,4432,4006,261,70,2,17,92])).
% 180.83/180.85  cnf(4633,plain,
% 180.83/180.85     (~P16(f12(a5),a1)),
% 180.83/180.85     inference(scs_inference,[],[4615,4432,4510,4006,261,70,121,2,17,92,98])).
% 180.83/180.85  cnf(4637,plain,
% 180.83/180.85     (~P5(f12(a5),f15(a1))),
% 180.83/180.85     inference(scs_inference,[],[4615,4432,4510,4612,4008,4006,261,70,121,2,17,92,98,3,97])).
% 180.83/180.85  cnf(4639,plain,
% 180.83/180.85     (~P13(f15(a3),f7(a3))),
% 180.83/180.85     inference(scs_inference,[],[4615,4432,4510,4612,4008,4006,261,70,121,2,17,92,98,3,97,96])).
% 180.83/180.85  cnf(4641,plain,
% 180.83/180.85     (~P13(x46411,f9(a2,a1))+P13(x46411,f9(a1,a2))),
% 180.83/180.85     inference(scs_inference,[],[4621,4615,4432,4510,4612,4008,4006,261,70,121,2,17,92,98,3,97,96,101])).
% 180.83/180.85  cnf(4651,plain,
% 180.83/180.85     (~E(f7(a5),f13(x46511))),
% 180.83/180.85     inference(scs_inference,[],[4628,2])).
% 180.83/180.85  cnf(4652,plain,
% 180.83/180.85     (~P16(f12(a5),f13(x46521))),
% 180.83/180.85     inference(scs_inference,[],[4628,4633,4125,2,18])).
% 180.83/180.85  cnf(4654,plain,
% 180.83/180.85     (~P16(f12(a11),f14(x46541))),
% 180.83/180.85     inference(scs_inference,[],[4494,4628,4637,4633,4125,4087,310,2,18,22,98])).
% 180.83/180.85  cnf(4662,plain,
% 180.83/180.85     (~P13(x46621,f9(a1,a1))+P13(x46621,f9(a1,a2))),
% 180.83/180.85     inference(scs_inference,[],[4494,4628,4637,4639,4633,4593,4125,4087,3998,310,219,2,18,22,98,92,3,27])).
% 180.83/180.85  cnf(4676,plain,
% 180.83/180.85     (~E(f15(a5),f16(a2))),
% 180.83/180.85     inference(scs_inference,[],[4253,4558,4193,2,22])).
% 180.83/180.85  cnf(4688,plain,
% 180.83/180.85     (~E(f15(a2),f15(a5))),
% 180.83/180.85     inference(scs_inference,[],[4365,2])).
% 180.83/180.85  cnf(4697,plain,
% 180.83/180.85     (~P13(a11,x46971)+~E(x46971,f9(a11,a2))),
% 180.83/180.85     inference(scs_inference,[],[4365,4523,4143,3865,4131,44,310,71,2,98,92,16,27])).
% 180.83/180.85  cnf(4701,plain,
% 180.83/180.85     (~E(f16(a2),f15(a5))),
% 180.83/180.85     inference(scs_inference,[],[4676,2])).
% 180.83/180.85  cnf(4702,plain,
% 180.83/180.85     (~E(f15(a11),f15(a2))),
% 180.83/180.85     inference(scs_inference,[],[4676,4080,4193,2,22])).
% 180.83/180.85  cnf(4703,plain,
% 180.83/180.85     (P5(x47031,f15(x47031))),
% 180.83/180.85     inference(rename_variables,[],[4193])).
% 180.83/180.85  cnf(4704,plain,
% 180.83/180.85     (P13(x47041,f15(x47041))),
% 180.83/180.85     inference(scs_inference,[],[4676,4080,4193,4703,70,2,22,92])).
% 180.83/180.85  cnf(4709,plain,
% 180.83/180.85     (~P13(f15(a5),a5)),
% 180.83/180.85     inference(scs_inference,[],[4676,4688,4080,4193,4703,4087,70,2,22,92,3,4519,96])).
% 180.83/180.85  cnf(4717,plain,
% 180.83/180.85     (~P13(f15(x47171),x47171)),
% 180.83/180.85     inference(scs_inference,[],[4704,96])).
% 180.83/180.85  cnf(4719,plain,
% 180.83/180.85     (~E(f16(a2),f15(a11))),
% 180.83/180.85     inference(scs_inference,[],[4704,4321,96,2])).
% 180.83/180.85  cnf(4721,plain,
% 180.83/180.85     (~P16(f7(a11),f13(x47211))),
% 180.83/180.85     inference(scs_inference,[],[4704,4321,4549,4709,4367,261,96,2,26,98])).
% 180.83/180.85  cnf(4727,plain,
% 180.83/180.85     (~E(f16(a1),f15(a5))),
% 180.83/180.85     inference(scs_inference,[],[4704,4321,4549,4701,4709,4367,67,4088,261,96,2,26,98,92,3])).
% 180.83/180.85  cnf(4728,plain,
% 180.83/180.85     (~E(f15(a11),f9(a11,a2))),
% 180.83/180.85     inference(scs_inference,[],[4704,4321,4549,4701,4709,4367,67,4088,261,96,2,26,98,92,3,4697])).
% 180.83/180.85  cnf(4730,plain,
% 180.83/180.85     (~E(f8(a5),f15(a5))),
% 180.83/180.85     inference(scs_inference,[],[4704,4321,4549,4701,4709,4367,67,4088,261,96,2,26,98,92,3,4697,151])).
% 180.83/180.85  cnf(4731,plain,
% 180.83/180.85     (~E(f9(a5,a1),f15(a5))),
% 180.83/180.85     inference(scs_inference,[],[4704,4227,4321,4549,4701,4709,4367,67,4088,261,96,2,26,98,92,3,4697,151,21])).
% 180.83/180.85  cnf(4732,plain,
% 180.83/180.85     (~P13(x47321,f6(a2))+P13(x47321,f6(a1))),
% 180.83/180.85     inference(scs_inference,[],[4704,4227,4321,4549,4701,4709,4089,4367,67,4088,261,96,2,26,98,92,3,4697,151,21,27])).
% 180.83/180.85  cnf(4740,plain,
% 180.83/180.85     (~E(f15(a2),f16(a3))),
% 180.83/180.85     inference(scs_inference,[],[4413,2])).
% 180.83/180.85  cnf(4741,plain,
% 180.83/180.85     (~E(f13(x47411),f12(a11))),
% 180.83/180.85     inference(scs_inference,[],[4413,4654,261,2,17])).
% 180.83/180.85  cnf(4745,plain,
% 180.83/180.85     (E(f10(a1,a1),f10(a2,a2))+~P16(f10(a1,a1),f10(a2,a2))),
% 180.83/180.85     inference(scs_inference,[],[4413,4654,313,4229,4704,261,2,17,27,98])).
% 180.83/180.85  cnf(4747,plain,
% 180.83/180.85     (~E(f16(a1),f15(a11))),
% 180.83/180.85     inference(scs_inference,[],[4413,4654,4719,313,4229,4704,4088,261,2,17,27,98,3])).
% 180.83/180.85  cnf(4755,plain,
% 180.83/180.85     (~P16(f12(a11),f13(x47551))),
% 180.83/180.85     inference(scs_inference,[],[4731,4652,4741,261,239,2,18,98])).
% 180.83/180.85  cnf(4759,plain,
% 180.83/180.85     (~E(f15(a1),f16(a3))),
% 180.83/180.85     inference(scs_inference,[],[4731,4652,4741,4740,4087,261,239,2,18,98,3])).
% 180.83/180.85  cnf(4763,plain,
% 180.83/180.85     (~E(a1,x47631)+P10(x47631)),
% 180.83/180.85     inference(scs_inference,[],[4731,4652,4741,4740,4181,3821,4087,261,239,160,2,18,98,3,106,33])).
% 180.83/180.85  cnf(4766,plain,
% 180.83/180.85     (~E(f9(a11,a1),f15(a11))),
% 180.83/180.85     inference(scs_inference,[],[4728,4096,2,3])).
% 180.83/180.85  cnf(4774,plain,
% 180.83/180.85     (~P16(f6(a5),a1)),
% 180.83/180.85     inference(scs_inference,[],[4517,121,2,98])).
% 180.83/180.85  cnf(4777,plain,
% 180.83/180.85     (~E(f13(a2),f6(a11))),
% 180.83/180.85     inference(scs_inference,[],[4517,4343,239,121,2,98,3])).
% 180.83/180.85  cnf(4781,plain,
% 180.83/180.85     (P5(f12(a3),f16(a3))),
% 180.83/180.85     inference(scs_inference,[],[4517,4343,1882,239,121,1880,48,2,98,3,112,91])).
% 180.83/180.85  cnf(4783,plain,
% 180.83/180.85     (~P5(f6(a5),f15(a1))),
% 180.83/180.85     inference(scs_inference,[],[4517,4343,1882,239,121,1880,48,2,98,3,112,91,97])).
% 180.83/180.85  cnf(4785,plain,
% 180.83/180.85     (~E(f15(a11),f8(a11))),
% 180.83/180.85     inference(scs_inference,[],[4517,4343,1882,266,4704,239,121,1880,48,2,98,3,112,91,97,27])).
% 180.83/180.85  cnf(4797,plain,
% 180.83/180.85     (~P5(f6(a5),f15(a2))),
% 180.83/180.85     inference(scs_inference,[],[4766,4783,4087,2,22])).
% 180.83/180.85  cnf(4798,plain,
% 180.83/180.85     (~E(f13(a1),f6(a11))),
% 180.83/180.85     inference(scs_inference,[],[4766,4777,4783,4085,4087,2,22,3])).
% 180.83/180.85  cnf(4801,plain,
% 180.83/180.85     (~E(a1,x48011)+P8(x48011)),
% 180.83/180.85     inference(scs_inference,[],[4766,4777,4783,4270,4178,4085,4087,2,22,3,92,30])).
% 180.83/180.85  cnf(4826,plain,
% 180.83/180.85     (~E(a1,x48261)+P12(x48261)),
% 180.83/180.85     inference(scs_inference,[],[4730,4759,4774,4151,4064,2,18,98,28])).
% 180.83/180.85  cnf(4828,plain,
% 180.83/180.85     (~E(f15(a2),f15(a11))),
% 180.83/180.85     inference(scs_inference,[],[4702,2])).
% 180.83/180.85  cnf(4842,plain,
% 180.83/180.85     (~E(f15(a1),f15(a11))),
% 180.83/180.85     inference(scs_inference,[],[4785,4798,4828,4074,4704,4087,261,2,98,27,3])).
% 180.83/180.85  cnf(4843,plain,
% 180.83/180.85     (~P16(f6(a11),f13(a2))),
% 180.83/180.85     inference(scs_inference,[],[4785,4798,4828,4074,4085,4704,4087,261,2,98,27,3,18])).
% 180.83/180.85  cnf(4882,plain,
% 180.83/180.85     (~P5(f6(a11),f15(a2))),
% 180.83/180.85     inference(scs_inference,[],[4842,4843,4535,189,239,2,18,98,97])).
% 180.83/180.85  cnf(4884,plain,
% 180.83/180.85     (~E(a1,x48841)+P11(x48841)),
% 180.83/180.85     inference(scs_inference,[],[4842,4843,4535,4152,189,239,2,18,98,97,32])).
% 180.83/180.85  cnf(4946,plain,
% 180.83/180.85     (~P16(f7(a11),a1)),
% 180.83/180.85     inference(scs_inference,[],[4561,4592,121,2,98])).
% 180.83/180.85  cnf(4949,plain,
% 180.83/180.85     (~P5(f7(a11),f15(a1))),
% 180.83/180.85     inference(scs_inference,[],[4561,4592,121,2,98,97])).
% 180.83/180.85  cnf(4951,plain,
% 180.83/180.85     (~E(a1,x49511)+P14(x49511)),
% 180.83/180.85     inference(scs_inference,[],[4561,4592,4149,121,2,98,97,29])).
% 180.83/180.85  cnf(4988,plain,
% 180.83/180.85     (~E(f6(a3),f13(x49881))),
% 180.83/180.85     inference(scs_inference,[],[4309,2])).
% 180.83/180.85  cnf(5014,plain,
% 180.83/180.85     (~E(a1,x50141)+P7(x50141)),
% 180.83/180.85     inference(scs_inference,[],[4741,4155,2,31])).
% 180.83/180.85  cnf(5094,plain,
% 180.83/180.85     (~P16(f7(a5),f13(x50941))),
% 180.83/180.85     inference(scs_inference,[],[4651,261,98])).
% 180.83/180.85  cnf(5098,plain,
% 180.83/180.85     (~E(x50981,f15(a11))+~E(f16(a1),x50981)),
% 180.83/180.85     inference(scs_inference,[],[4747,4651,261,98,3])).
% 180.83/180.85  cnf(5114,plain,
% 180.83/180.85     (~E(x51141,f15(a3))+~E(f16(a1),x51141)),
% 180.83/180.85     inference(scs_inference,[],[4363,3])).
% 180.83/180.85  cnf(5132,plain,
% 180.83/180.85     (~E(x51321,f15(a5))+~E(f16(a1),x51321)),
% 180.83/180.85     inference(scs_inference,[],[4727,4233,26,3])).
% 180.83/180.85  cnf(5192,plain,
% 180.83/180.85     (P16(a4,x51921)+~E(f16(a4),f16(x51921))),
% 180.83/180.85     inference(scs_inference,[],[142,48,99])).
% 180.83/180.85  cnf(5216,plain,
% 180.83/180.85     (P16(a4,x52161)+~E(f16(x52161),f16(a4))),
% 180.83/180.85     inference(scs_inference,[],[38,60,48,102,91,96,111])).
% 180.83/180.85  cnf(5229,plain,
% 180.83/180.85     (~E(x52291,a11)+~E(a1,x52291)),
% 180.83/180.85     inference(scs_inference,[],[3133,3])).
% 180.83/180.85  cnf(5241,plain,
% 180.83/180.85     (~E(x52411,a5)+~E(a1,x52411)),
% 180.83/180.85     inference(scs_inference,[],[3145,2312,26,3])).
% 180.83/180.85  cnf(5270,plain,
% 180.83/180.85     (~E(x52701,a3)+~E(a1,x52701)),
% 180.83/180.85     inference(scs_inference,[],[3169,3])).
% 180.83/180.85  cnf(5324,plain,
% 180.83/180.85     (~E(x53241,f16(a3))+~E(f16(a1),x53241)),
% 180.83/180.85     inference(scs_inference,[],[4031,3])).
% 180.83/180.85  cnf(5390,plain,
% 180.83/180.85     (~E(x53901,f12(a3))+~E(a1,x53901)),
% 180.83/180.85     inference(scs_inference,[],[4223,3])).
% 180.83/180.85  cnf(5393,plain,
% 180.83/180.85     (~E(x53931,f7(a5))+~E(a1,x53931)),
% 180.83/180.85     inference(scs_inference,[],[4253,3])).
% 180.83/180.85  cnf(5603,plain,
% 180.83/180.85     (~E(x56031,f12(a5))+~E(a1,x56031)),
% 180.83/180.85     inference(scs_inference,[],[4430,3])).
% 180.83/180.85  cnf(5624,plain,
% 180.83/180.85     (~E(x56241,f7(a11))+~E(a1,x56241)),
% 180.83/180.85     inference(scs_inference,[],[4503,3])).
% 180.83/180.85  cnf(5640,plain,
% 180.83/180.85     (~E(x56401,f12(a11))+~E(a1,x56401)),
% 180.83/180.85     inference(scs_inference,[],[4583,3])).
% 180.83/180.85  cnf(5738,plain,
% 180.83/180.85     (~E(x57381,f6(a3))+~E(a1,x57381)),
% 180.83/180.85     inference(scs_inference,[],[4341,3])).
% 180.83/180.85  cnf(5742,plain,
% 180.83/180.85     (~E(x57421,f7(a3))+~E(a1,x57421)),
% 180.83/180.85     inference(scs_inference,[],[4390,3])).
% 180.83/180.85  cnf(5751,plain,
% 180.83/180.85     (~E(x57511,f6(a11))+~E(a1,x57511)),
% 180.83/180.85     inference(scs_inference,[],[4432,3])).
% 180.83/180.85  cnf(5759,plain,
% 180.83/180.85     (~E(x57591,f6(a5))+~E(a1,x57591)),
% 180.83/180.85     inference(scs_inference,[],[4517,3])).
% 180.83/180.85  cnf(5795,plain,
% 180.83/180.85     (~P13(f7(a11),f16(a2))),
% 180.83/180.85     inference(scs_inference,[],[48,4946,4088,99])).
% 180.83/180.85  cnf(5796,plain,
% 180.83/180.85     (P9(f16(x57961))),
% 180.83/180.85     inference(rename_variables,[],[48])).
% 180.83/180.85  cnf(5801,plain,
% 180.83/180.85     (P13(f12(a3),f16(x58011))+~E(f16(x58011),f16(a3))),
% 180.83/180.85     inference(scs_inference,[],[48,5796,4946,1882,4251,4088,1880,71,99,92,106,102])).
% 180.83/180.85  cnf(5918,plain,
% 180.83/180.85     (P16(f10(a1,x59181),f10(a2,x59181))),
% 180.83/180.85     inference(scs_inference,[],[60,4093,17])).
% 180.83/180.85  cnf(5937,plain,
% 180.83/180.85     (P16(f10(a1,a1),f10(a2,a2))),
% 180.83/180.85     inference(scs_inference,[],[60,4211,17])).
% 180.83/180.85  cnf(5939,plain,
% 180.83/180.85     (E(f10(a1,a1),f10(a2,a2))),
% 180.83/180.85     inference(scs_inference,[],[5937,4745])).
% 180.83/180.85  cnf(5962,plain,
% 180.83/180.85     (P16(f10(x59621,a1),f10(x59621,a2))),
% 180.83/180.85     inference(scs_inference,[],[60,4094,17])).
% 180.83/180.85  cnf(5967,plain,
% 180.83/180.85     (E(f10(x59671,a1),f10(x59671,a2))),
% 180.83/180.85     inference(scs_inference,[],[5962,4380,98])).
% 180.83/180.85  cnf(6037,plain,
% 180.83/180.85     (~P5(f15(a3),a3)),
% 180.83/180.85     inference(scs_inference,[],[65,4717,92])).
% 180.83/180.85  cnf(6058,plain,
% 180.83/180.85     (~E(f8(f15(a1)),f12(a3))),
% 180.83/180.85     inference(scs_inference,[],[4444,187,5241,148,5390])).
% 180.83/180.85  cnf(6066,plain,
% 180.83/180.85     (~P13(f15(x60661),x60661)),
% 180.83/180.85     inference(rename_variables,[],[4717])).
% 180.83/180.85  cnf(6068,plain,
% 180.83/180.85     (~P13(f15(x60681),x60681)),
% 180.83/180.85     inference(rename_variables,[],[4717])).
% 180.83/180.85  cnf(6070,plain,
% 180.83/180.85     (~P13(f15(x60701),x60701)),
% 180.83/180.85     inference(rename_variables,[],[4717])).
% 180.83/180.85  cnf(6072,plain,
% 180.83/180.85     (~P13(f15(x60721),x60721)),
% 180.83/180.85     inference(rename_variables,[],[4717])).
% 180.83/180.85  cnf(6074,plain,
% 180.83/180.85     (~P13(f15(x60741),x60741)),
% 180.83/180.85     inference(rename_variables,[],[4717])).
% 180.83/180.85  cnf(6075,plain,
% 180.83/180.85     (~P13(f15(f10(a1,a2)),f10(a1,a1))),
% 180.83/180.85     inference(scs_inference,[],[4444,4717,6066,6068,6070,6072,6074,187,5241,148,5390,5603,5640,5738,5742,5751,5759,2314,4504,4732,865,1892,4455])).
% 180.83/180.85  cnf(6076,plain,
% 180.83/180.85     (~P13(f15(x60761),x60761)),
% 180.83/180.85     inference(rename_variables,[],[4717])).
% 180.83/180.85  cnf(6077,plain,
% 180.83/180.85     (~P13(f15(f10(a2,a1)),f10(a1,a2))),
% 180.83/180.85     inference(scs_inference,[],[4444,4717,6066,6068,6070,6072,6074,6076,187,5241,148,5390,5603,5640,5738,5742,5751,5759,2314,4504,4732,865,1892,4455,4534])).
% 180.83/180.85  cnf(6078,plain,
% 180.83/180.85     (~P13(f15(x60781),x60781)),
% 180.83/180.85     inference(rename_variables,[],[4717])).
% 180.83/180.85  cnf(6080,plain,
% 180.83/180.85     (~P13(f15(x60801),x60801)),
% 180.83/180.85     inference(rename_variables,[],[4717])).
% 180.83/180.85  cnf(6083,plain,
% 180.83/180.85     (~P13(f15(x60831),x60831)),
% 180.83/180.85     inference(rename_variables,[],[4717])).
% 180.83/180.85  cnf(6084,plain,
% 180.83/180.85     (P13(f9(f16(a4),f8(f15(a1))),f16(a4))),
% 180.83/180.85     inference(scs_inference,[],[4444,4264,4717,6066,6068,6070,6072,6074,6076,6078,6080,187,5241,148,5390,5603,5640,5738,5742,5751,5759,2314,4504,4732,865,1892,4455,4534,4641,4662,100])).
% 180.83/180.85  cnf(6086,plain,
% 180.83/180.85     (P5(f6(f6(f7(a5))),f15(f6(f7(a5))))),
% 180.83/180.85     inference(scs_inference,[],[4444,4264,904,4717,6066,6068,6070,6072,6074,6076,6078,6080,187,5241,148,5390,5603,5640,5738,5742,5751,5759,2314,4504,4732,865,1892,4455,4534,4641,4662,100,87])).
% 180.83/180.85  cnf(6088,plain,
% 180.83/180.85     (P5(f10(a1,a1),f15(f10(a2,a2)))),
% 180.83/180.85     inference(scs_inference,[],[4444,4264,904,5937,4717,6066,6068,6070,6072,6074,6076,6078,6080,187,5241,148,5390,5603,5640,5738,5742,5751,5759,2314,4504,4732,865,1892,4455,4534,4641,4662,100,87,94])).
% 180.83/180.85  cnf(6095,plain,
% 180.83/180.85     (E(f16(f13(f13(a2))),f16(f13(f14(f13(a2)))))),
% 180.83/180.85     inference(scs_inference,[],[4444,4264,2414,4497,904,5937,4717,6066,6068,6070,6072,6074,6076,6078,6080,187,5241,148,5390,5603,5640,5738,5742,5751,5759,2314,4504,4732,865,1892,4455,4534,4641,4662,100,87,94,97,1908,7,9])).
% 180.83/180.85  cnf(6096,plain,
% 180.83/180.85     (~P13(f9(f15(a4),f16(a4)),f16(a4))),
% 180.83/180.85     inference(scs_inference,[],[4444,4264,2414,4497,904,5937,4717,6066,6068,6070,6072,6074,6076,6078,6080,126,187,5241,148,5390,5603,5640,5738,5742,5751,5759,2314,4504,4732,865,1892,4455,4534,4641,4662,100,87,94,97,1908,7,9,105])).
% 180.83/180.85  cnf(6100,plain,
% 180.83/180.85     (~P13(f15(x61001),x61001)),
% 180.83/180.85     inference(rename_variables,[],[4717])).
% 180.83/180.85  cnf(6106,plain,
% 180.83/180.85     (~P13(f15(x61061),x61061)),
% 180.83/180.85     inference(rename_variables,[],[4717])).
% 180.83/180.85  cnf(6110,plain,
% 180.83/180.85     (P5(f12(f6(f7(a5))),f15(f6(f7(a5))))),
% 180.83/180.85     inference(scs_inference,[],[4444,4264,2414,4497,904,5937,4704,4717,6066,6068,6070,6072,6074,6076,6078,6080,6083,6100,126,187,5241,148,5390,5603,5640,5738,5742,5751,5759,2314,4504,4732,865,1892,4455,4534,4641,4662,100,87,94,97,1908,7,9,105,12,578,76,4623,608,13,10,4,86])).
% 180.83/180.85  cnf(6112,plain,
% 180.83/180.85     (P16(f15(f10(x61121,f8(f15(a1)))),f15(f10(x61121,a1)))),
% 180.83/180.85     inference(scs_inference,[],[4444,4264,2414,2446,4497,904,5937,4704,4717,6066,6068,6070,6072,6074,6076,6078,6080,6083,6100,126,187,5241,148,5390,5603,5640,5738,5742,5751,5759,2314,4504,4732,865,1892,4455,4534,4641,4662,100,87,94,97,1908,7,9,105,12,578,76,4623,608,13,10,4,86,80])).
% 180.83/180.85  cnf(6114,plain,
% 180.83/180.85     (P5(f7(f6(f7(a5))),f15(f6(f7(a5))))),
% 180.83/180.85     inference(scs_inference,[],[4444,4264,2414,2446,4497,904,5937,4704,4717,6066,6068,6070,6072,6074,6076,6078,6080,6083,6100,126,187,5241,148,5390,5603,5640,5738,5742,5751,5759,2314,4504,4732,865,1892,4455,4534,4641,4662,100,87,94,97,1908,7,9,105,12,578,76,4623,608,13,10,4,86,80,88])).
% 180.83/180.85  cnf(6117,plain,
% 180.83/180.85     (E(f15(f13(f13(a2))),f15(f13(f14(f13(a2)))))),
% 180.83/180.85     inference(scs_inference,[],[4444,4264,2414,2446,4497,904,5937,4704,4717,6066,6068,6070,6072,6074,6076,6078,6080,6083,6100,126,187,5241,148,5390,5603,5640,5738,5742,5751,5759,2314,4504,4732,865,1892,4455,4534,4641,4662,100,87,94,97,1908,7,9,105,12,578,76,4623,608,13,10,4,86,80,88,6,8])).
% 180.83/180.85  cnf(6118,plain,
% 180.83/180.85     (E(f8(f13(f13(a2))),f8(f13(f14(f13(a2)))))),
% 180.83/180.85     inference(scs_inference,[],[4444,4264,2414,2446,4497,904,5937,4704,4717,6066,6068,6070,6072,6074,6076,6078,6080,6083,6100,126,187,5241,148,5390,5603,5640,5738,5742,5751,5759,2314,4504,4732,865,1892,4455,4534,4641,4662,100,87,94,97,1908,7,9,105,12,578,76,4623,608,13,10,4,86,80,88,6,8,15])).
% 180.83/180.85  cnf(6120,plain,
% 180.83/180.85     (~P1(f7(f6(f7(a5))))),
% 180.83/180.85     inference(scs_inference,[],[4444,4264,2414,2446,4497,904,5937,4704,4717,6066,6068,6070,6072,6074,6076,6078,6080,6083,6100,126,187,5241,148,5390,5603,5640,5738,5742,5751,5759,2314,4504,4732,865,1892,4455,4534,4641,4662,100,87,94,97,1908,7,9,105,12,578,76,4623,608,13,10,4,86,80,88,6,8,15,14,84])).
% 180.83/180.85  cnf(6123,plain,
% 180.83/180.85     (~P1(f6(f6(f7(a5))))),
% 180.83/180.85     inference(scs_inference,[],[4444,4264,2414,2446,4497,904,5937,4704,4717,6066,6068,6070,6072,6074,6076,6078,6080,6083,6100,126,187,5241,148,5390,5603,5640,5738,5742,5751,5759,2314,4504,4732,865,1892,4455,4534,4641,4662,100,87,94,97,1908,7,9,105,12,578,76,4623,608,13,10,4,86,80,88,6,8,15,14,84,5,83])).
% 180.83/180.85  cnf(6125,plain,
% 180.83/180.85     (E(f8(f15(a2)),a1)),
% 180.83/180.85     inference(scs_inference,[],[4444,4264,2414,2446,4497,489,904,5937,4704,4717,6066,6068,6070,6072,6074,6076,6078,6080,6083,6100,126,187,5241,148,5390,5603,5640,5738,5742,5751,5759,2314,4504,4732,865,1892,4455,4534,4641,4662,100,87,94,97,1908,7,9,105,12,578,76,4623,608,13,10,4,86,80,88,6,8,15,14,84,5,83,72])).
% 180.83/180.85  cnf(6133,plain,
% 180.83/180.85     (~P1(f12(f6(f7(a5))))),
% 180.83/180.85     inference(scs_inference,[],[4444,1342,4264,2414,2446,4497,489,904,5937,4704,4717,6066,6068,6070,6072,6074,6076,6078,6080,6083,6100,126,187,5241,148,5390,5603,5640,5738,5742,5751,5759,2314,4504,4732,865,1892,4455,4534,4641,4662,100,87,94,97,1908,7,9,105,12,578,76,4623,608,13,10,4,86,80,88,6,8,15,14,84,5,83,72,11,77,2,96,82])).
% 180.83/180.85  cnf(6138,plain,
% 180.83/180.85     (~P16(f7(a5),f8(f15(a2)))),
% 180.83/180.85     inference(scs_inference,[],[4444,1342,4264,2414,2446,5094,4497,489,1339,904,5937,859,4704,4717,6066,6068,6070,6072,6074,6076,6078,6080,6083,6100,126,187,5241,148,5390,5603,5640,5738,5742,5751,5759,2314,4504,4732,865,1892,4455,4534,4641,4662,100,87,94,97,1908,7,9,105,12,578,76,4623,608,13,10,4,86,80,88,6,8,15,14,84,5,83,72,11,77,2,96,82,151,91,18])).
% 180.83/180.85  cnf(6140,plain,
% 180.83/180.85     (~P5(f15(a3),f15(f15(a1)))),
% 180.83/180.85     inference(scs_inference,[],[4444,1342,4264,2414,2446,5094,4590,4497,4630,489,1339,904,5937,859,4704,4717,6066,6068,6070,6072,6074,6076,6078,6080,6083,6100,126,187,5241,148,5390,5603,5640,5738,5742,5751,5759,2314,4504,4732,865,1892,4455,4534,4641,4662,100,87,94,97,1908,7,9,105,12,578,76,4623,608,13,10,4,86,80,88,6,8,15,14,84,5,83,72,11,77,2,96,82,151,91,18,104])).
% 180.83/180.85  cnf(6145,plain,
% 180.83/180.85     (P9(f16(x61451))),
% 180.83/180.85     inference(rename_variables,[],[48])).
% 180.83/180.85  cnf(6152,plain,
% 180.83/180.85     (~P13(f15(x61521),x61521)),
% 180.83/180.85     inference(rename_variables,[],[4717])).
% 180.83/180.85  cnf(6162,plain,
% 180.83/180.85     (P16(f8(f15(a1)),x61621)),
% 180.83/180.85     inference(rename_variables,[],[1963])).
% 180.83/180.85  cnf(6163,plain,
% 180.83/180.85     (~P5(f15(x61631),f15(f8(f15(a2))))),
% 180.83/180.85     inference(scs_inference,[],[65,4444,4495,863,1342,115,3772,4264,2414,2446,2462,1351,3621,5094,3120,4590,4497,4630,1963,489,1339,904,5937,118,3996,859,4193,4704,4717,6066,6068,6070,6072,6074,6076,6078,6080,6083,6100,6106,61,126,187,48,5241,148,5390,5603,5640,5738,5742,5751,5759,2314,4504,4732,865,1892,4455,4534,4641,4662,100,87,94,97,1908,7,9,105,12,578,76,4623,608,13,10,4,86,80,88,6,8,15,14,84,5,83,72,11,77,2,96,82,151,91,18,104,26,110,21,3,27,89,92,22,16,17,103])).
% 180.83/180.85  cnf(6166,plain,
% 180.83/180.85     (P16(f8(f15(a1)),x61661)),
% 180.83/180.85     inference(rename_variables,[],[1963])).
% 180.83/180.85  cnf(6169,plain,
% 180.83/180.85     (~P13(f15(x61691),x61691)),
% 180.83/180.85     inference(rename_variables,[],[4717])).
% 180.83/180.85  cnf(6171,plain,
% 180.83/180.85     (P13(f8(f15(a1)),f16(x61711))),
% 180.83/180.85     inference(scs_inference,[],[65,4444,4495,863,1342,115,3772,4264,1152,2414,2446,2462,1351,3621,5094,3120,4590,4497,4630,1963,6162,6166,489,141,1339,904,5937,118,3996,859,4193,4704,4717,6066,6068,6070,6072,6074,6076,6078,6080,6083,6100,6106,6152,61,126,187,48,6145,5241,148,5390,5603,5640,5738,5742,5751,5759,2314,4504,4732,865,1892,4455,4534,4641,4662,100,87,94,97,1908,7,9,105,12,578,76,4623,608,13,10,4,86,80,88,6,8,15,14,84,5,83,72,11,77,2,96,82,151,91,18,104,26,110,21,3,27,89,92,22,16,17,103,98,101,112])).
% 180.83/180.85  cnf(6172,plain,
% 180.83/180.85     (P9(f16(x61721))),
% 180.83/180.85     inference(rename_variables,[],[48])).
% 180.83/180.85  cnf(6177,plain,
% 180.83/180.85     (~E(f16(a2),f16(f7(a11)))),
% 180.83/180.85     inference(scs_inference,[],[65,4444,4495,863,1342,115,3772,4264,1152,2414,2446,2462,1351,5795,3621,5094,4446,3120,4590,4497,4630,1963,6162,6166,489,141,1339,904,5937,118,4123,3996,859,4193,4704,4717,6066,6068,6070,6072,6074,6076,6078,6080,6083,6100,6106,6152,61,126,46,187,60,48,6145,6172,5241,148,5390,5603,5640,5738,5742,5751,5759,2314,4504,4732,865,1892,4455,4534,4641,4662,100,87,94,97,1908,7,9,105,12,578,76,4623,608,13,10,4,86,80,88,6,8,15,14,84,5,83,72,11,77,2,96,82,151,91,18,104,26,110,21,3,27,89,92,22,16,17,103,98,101,112,99,102])).
% 180.83/180.85  cnf(6186,plain,
% 180.83/180.85     (~P13(f15(x61861),x61861)),
% 180.83/180.85     inference(rename_variables,[],[4717])).
% 180.83/180.85  cnf(6188,plain,
% 180.83/180.85     (~P13(f15(x61881),x61881)),
% 180.83/180.85     inference(rename_variables,[],[4717])).
% 180.83/180.85  cnf(6190,plain,
% 180.83/180.85     (~P13(f15(x61901),x61901)),
% 180.83/180.85     inference(rename_variables,[],[4717])).
% 180.83/180.85  cnf(6192,plain,
% 180.83/180.85     (~P13(f15(f10(a2,a1)),f10(a1,a1))),
% 180.83/180.85     inference(scs_inference,[],[65,4444,4495,863,1342,115,3772,4264,1152,2414,2446,2462,1351,5795,3621,5094,4446,3120,4590,4497,4630,1963,6162,6166,489,141,1339,904,5937,118,4123,3996,859,4193,4704,4717,6066,6068,6070,6072,6074,6076,6078,6080,6083,6100,6106,6152,6169,6186,6188,6190,61,126,46,187,60,48,6145,6172,5241,148,5390,5603,5640,5738,5742,5751,5759,2314,4504,4732,865,1892,4455,4534,4641,4662,100,87,94,97,1908,7,9,105,12,578,76,4623,608,13,10,4,86,80,88,6,8,15,14,84,5,83,72,11,77,2,96,82,151,91,18,104,26,110,21,3,27,89,92,22,16,17,103,98,101,112,99,102,5229,5270,5393,5624,4394,4606,4295,4479])).
% 180.83/180.85  cnf(6215,plain,
% 180.83/180.85     (P5(f6(f7(a5)),f15(f7(a5)))),
% 180.83/180.85     inference(scs_inference,[],[4524,6138,4056,148,100,87])).
% 180.83/180.85  cnf(6217,plain,
% 180.83/180.85     (P5(f15(f10(x62171,f8(f15(a1)))),f15(f15(f10(x62171,a1))))),
% 180.83/180.85     inference(scs_inference,[],[4524,6138,6112,4056,148,100,87,94])).
% 180.83/180.85  cnf(6219,plain,
% 180.83/180.85     (~P5(f7(a5),f15(f8(f15(a2))))),
% 180.83/180.85     inference(scs_inference,[],[4524,6138,6112,4056,148,100,87,94,97])).
% 180.83/180.85  cnf(6224,plain,
% 180.83/180.85     (E(f16(f8(f15(a2))),f16(a1))),
% 180.83/180.85     inference(scs_inference,[],[4524,6138,6125,6112,4311,4056,148,100,87,94,97,1908,7,9])).
% 180.83/180.85  cnf(6228,plain,
% 180.83/180.85     (~E(a4,f9(f15(a4),f16(a4)))),
% 180.83/180.85     inference(scs_inference,[],[4524,6096,6138,6125,6120,6112,4311,4056,148,100,87,94,97,1908,7,9,76,12,608])).
% 180.83/180.85  cnf(6234,plain,
% 180.83/180.85     (P5(f7(f7(a5)),f15(f7(a5)))),
% 180.83/180.85     inference(scs_inference,[],[4524,6096,6138,6125,6120,6112,4311,4056,148,100,87,94,97,1908,7,9,76,12,608,10,13,80,4,88])).
% 180.83/180.85  cnf(6236,plain,
% 180.83/180.85     (P5(f12(f7(a5)),f15(f7(a5)))),
% 180.83/180.85     inference(scs_inference,[],[4524,6096,6138,6125,6120,6112,4311,4056,148,100,87,94,97,1908,7,9,76,12,608,10,13,80,4,88,86])).
% 180.83/180.85  cnf(6240,plain,
% 180.83/180.85     (E(f10(f8(f15(a2)),x62401),f10(a1,x62401))),
% 180.83/180.85     inference(scs_inference,[],[4524,6096,6138,6125,6120,6112,4311,4056,148,100,87,94,97,1908,7,9,76,12,608,10,13,80,4,88,86,84,6])).
% 180.83/180.85  cnf(6241,plain,
% 180.83/180.85     (E(f15(f8(f15(a2))),f15(a1))),
% 180.83/180.85     inference(scs_inference,[],[4524,6096,6138,6125,6120,6112,4311,4056,148,100,87,94,97,1908,7,9,76,12,608,10,13,80,4,88,86,84,6,8])).
% 180.83/180.85  cnf(6258,plain,
% 180.83/180.85     (~P16(a5,f8(f15(a2)))),
% 180.83/180.85     inference(scs_inference,[],[4524,6058,6096,6171,6138,6125,6120,6112,4356,4311,4056,480,148,100,87,94,97,1908,7,9,76,12,608,10,13,80,4,88,86,84,6,8,83,14,15,5,11,77,2,96,82,151,91,18])).
% 180.83/180.85  cnf(6259,plain,
% 180.83/180.85     (~P5(f15(f15(a5)),f15(f12(a5)))),
% 180.83/180.85     inference(scs_inference,[],[4524,6058,6096,6171,6138,6125,6120,6112,4356,4311,4056,480,4704,148,100,87,94,97,1908,7,9,76,12,608,10,13,80,4,88,86,84,6,8,83,14,15,5,11,77,2,96,82,151,91,18,104])).
% 180.83/180.85  cnf(6260,plain,
% 180.83/180.85     (P13(x62601,f15(x62601))),
% 180.83/180.85     inference(rename_variables,[],[4704])).
% 180.83/180.85  cnf(6262,plain,
% 180.83/180.85     (~P13(f15(f10(a2,f8(f15(a1)))),f10(a1,a2))),
% 180.83/180.85     inference(scs_inference,[],[4524,6058,6077,6096,6171,6138,6125,6120,6112,4356,4311,2446,4056,480,4704,148,100,87,94,97,1908,7,9,76,12,608,10,13,80,4,88,86,84,6,8,83,14,15,5,11,77,2,96,82,151,91,18,104,26])).
% 180.83/180.85  cnf(6265,plain,
% 180.83/180.85     (P5(f10(a1,a2),f15(f10(a2,a2)))),
% 180.83/180.85     inference(scs_inference,[],[4524,6058,6077,6096,6171,6088,6177,6138,6125,6120,6112,4356,4311,5967,2446,4056,480,4704,4088,148,100,87,94,97,1908,7,9,76,12,608,10,13,80,4,88,86,84,6,8,83,14,15,5,11,77,2,96,82,151,91,18,104,26,3,21])).
% 180.83/180.85  cnf(6272,plain,
% 180.83/180.85     (P5(f8(f10(a1,a1)),f10(a2,a2))),
% 180.83/180.85     inference(scs_inference,[],[4524,1890,6058,6077,6096,6171,6088,6177,6138,6125,6120,6112,4356,5939,4311,5967,2446,4056,480,4704,6260,61,70,4088,148,100,87,94,97,1908,7,9,76,12,608,10,13,80,4,88,86,84,6,8,83,14,15,5,11,77,2,96,82,151,91,18,104,26,3,21,27,92,22])).
% 180.83/180.85  cnf(6277,plain,
% 180.83/180.85     (~P5(f16(x62771),f15(f8(f15(a1))))),
% 180.83/180.85     inference(scs_inference,[],[4524,1890,6058,6077,6096,6171,6088,6177,6138,6125,6120,2494,6112,4356,5939,4311,5967,2446,227,4056,480,4704,6260,61,70,4088,60,148,100,87,94,97,1908,7,9,76,12,608,10,13,80,4,88,86,84,6,8,83,14,15,5,11,77,2,96,82,151,91,18,104,26,3,21,27,92,22,16,17,103])).
% 180.83/180.85  cnf(6279,plain,
% 180.83/180.85     (E(f8(f15(a1)),f8(f15(f8(f15(a1)))))),
% 180.83/180.85     inference(scs_inference,[],[4524,1890,6058,6077,6096,6171,6088,6177,6138,6125,6120,2494,6112,4356,5939,4311,5967,2446,1963,227,4056,118,480,4704,6260,61,70,4088,60,148,100,87,94,97,1908,7,9,76,12,608,10,13,80,4,88,86,84,6,8,83,14,15,5,11,77,2,96,82,151,91,18,104,26,3,21,27,92,22,16,17,103,98])).
% 180.83/180.85  cnf(6302,plain,
% 180.83/180.85     (~P16(a4,f9(f15(a4),f16(a4)))),
% 180.83/180.85     inference(scs_inference,[],[6228,1123])).
% 180.83/180.85  cnf(6309,plain,
% 180.83/180.85     (P5(f8(f16(a2)),f16(a1))),
% 180.83/180.85     inference(scs_inference,[],[4088,6138,4080,91,2,80,552,152])).
% 180.83/180.85  cnf(6312,plain,
% 180.83/180.85     (~P16(f15(a3),f15(a1))),
% 180.83/180.85     inference(scs_inference,[],[4088,6138,4080,4002,6140,91,2,80,552,152,97,94])).
% 180.83/180.85  cnf(6322,plain,
% 180.83/180.85     (P9(f16(x63221))),
% 180.83/180.85     inference(rename_variables,[],[48])).
% 180.83/180.85  cnf(6324,plain,
% 180.83/180.85     (P5(f8(f10(a1,a1)),f10(a2,a1))),
% 180.83/180.85     inference(scs_inference,[],[48,4088,4094,1337,6138,4080,4092,4160,4002,4383,5094,6272,6140,6075,91,2,80,552,152,97,94,4295,565,605,673,17,111,22])).
% 180.83/180.85  cnf(6327,plain,
% 180.83/180.85     (~P13(f15(x63271),x63271)),
% 180.83/180.85     inference(rename_variables,[],[4717])).
% 180.83/180.85  cnf(6331,plain,
% 180.83/180.85     (~E(x63311,f15(f15(x63311)))),
% 180.83/180.85     inference(scs_inference,[],[48,71,4088,4704,4717,6327,480,4094,1337,6138,4080,4092,4160,4002,4383,5094,4147,6272,6140,6075,4781,91,2,80,552,152,97,94,4295,565,605,673,17,111,22,92,3,21,26])).
% 180.83/180.85  cnf(6333,plain,
% 180.83/180.85     (P16(f8(f16(a2)),a1)),
% 180.83/180.85     inference(scs_inference,[],[48,6322,71,4088,4704,4717,6327,3765,480,4094,1337,6138,4080,4092,4160,4002,4383,5094,4147,6272,6140,6075,4781,91,2,80,552,152,97,94,4295,565,605,673,17,111,22,92,3,21,26,99])).
% 180.83/180.85  cnf(6355,plain,
% 180.83/180.85     (~P16(f15(f15(a5)),f12(a5))),
% 180.83/180.85     inference(scs_inference,[],[169,6125,4240,6259,2,152,91,94])).
% 180.83/180.85  cnf(6364,plain,
% 180.83/180.85     (P5(f8(f9(a1,x63641)),f9(f8(f15(a1)),x63641))),
% 180.83/180.85     inference(scs_inference,[],[169,6125,4004,4240,2494,2462,6259,6258,6192,2,152,91,94,552,4295,97,80,151])).
% 180.83/180.85  cnf(6367,plain,
% 180.83/180.85     (~E(x63671,f15(f15(x63671)))),
% 180.83/180.85     inference(rename_variables,[],[6331])).
% 180.83/180.85  cnf(6376,plain,
% 180.83/180.85     (~P13(f15(f10(a2,f8(f15(a1)))),f10(a1,a1))),
% 180.83/180.85     inference(scs_inference,[],[169,6125,511,4004,4240,2494,2462,6262,6331,6367,6259,6258,6192,2,152,91,94,552,4295,97,80,151,3943,4414,4104,100,5624,5751,5390,4455])).
% 180.83/180.85  cnf(6391,plain,
% 180.83/180.85     (~P13(f15(x63911),x63911)),
% 180.83/180.85     inference(rename_variables,[],[4717])).
% 180.83/180.85  cnf(6395,plain,
% 180.83/180.85     (P16(f8(f15(x63951)),x63951)),
% 180.83/180.85     inference(rename_variables,[],[118])).
% 180.83/180.85  cnf(6397,plain,
% 180.83/180.85     (P5(f8(x63971),x63971)),
% 180.83/180.85     inference(rename_variables,[],[61])).
% 180.83/180.85  cnf(6407,plain,
% 180.83/180.85     (P9(f16(x64071))),
% 180.83/180.85     inference(rename_variables,[],[48])).
% 180.83/180.85  cnf(6410,plain,
% 180.83/180.85     (~P13(f15(x64101),x64101)),
% 180.83/180.85     inference(rename_variables,[],[4717])).
% 180.83/180.85  cnf(6411,plain,
% 180.83/180.86     (~P13(x64111,f8(f15(f13(x64112))))),
% 180.83/180.86     inference(scs_inference,[],[48,169,126,121,43,6125,61,6397,4717,6391,3765,4193,118,6138,315,2446,511,4004,4240,1339,2494,2462,4988,6279,6333,6262,6331,6367,6259,6302,6258,4186,6192,2,152,91,94,552,4295,97,80,151,3943,4414,4104,100,5624,5751,5390,4455,5603,5742,5759,5640,5738,4564,5216,5192,3946,1217,3975,385,17,21,98,22,3,34,111,26,103])).
% 180.83/180.86  cnf(6414,plain,
% 180.83/180.86     (~P5(f15(f15(x64141)),f15(x64141))),
% 180.83/180.86     inference(scs_inference,[],[48,169,126,121,70,43,6125,61,6397,4717,6391,6410,3765,4193,118,6138,315,2446,511,4004,4240,1339,2494,2462,4988,6279,6333,6262,6331,6367,6259,6302,6258,4186,6192,2,152,91,94,552,4295,97,80,151,3943,4414,4104,100,5624,5751,5390,4455,5603,5742,5759,5640,5738,4564,5216,5192,3946,1217,3975,385,17,21,98,22,3,34,111,26,103,92])).
% 180.83/180.86  cnf(6428,plain,
% 180.83/180.86     (P16(f8(f15(f13(a2))),a2)),
% 180.83/180.86     inference(scs_inference,[],[219,48,169,126,121,70,43,6125,61,6397,4717,6391,6410,3765,4193,118,6395,6138,315,227,2446,511,4004,4240,4050,1339,2494,2462,4407,4988,6279,6333,6215,6262,6331,6367,6259,6302,6258,4186,4189,6192,4187,4188,4190,4191,4192,2,152,91,94,552,4295,97,80,151,3943,4414,4104,100,5624,5751,5390,4455,5603,5742,5759,5640,5738,4564,5216,5192,3946,1217,3975,385,17,21,98,22,3,34,111,26,103,92,32,33,31,28,16,29,95,30,104,18])).
% 180.83/180.86  cnf(6431,plain,
% 180.83/180.86     (P16(f8(f16(f6(f8(f15(a1))))),f6(a1))),
% 180.83/180.86     inference(scs_inference,[],[219,48,6407,169,126,121,70,43,6125,61,6397,4717,6391,6410,3765,4193,118,6395,6138,315,227,2446,511,4004,4240,4050,1339,2494,2462,4407,1152,4988,6279,6333,6215,6262,6331,6367,6259,6302,6258,4186,4189,6192,4187,4188,4190,4191,4192,2,152,91,94,552,4295,97,80,151,3943,4414,4104,100,5624,5751,5390,4455,5603,5742,5759,5640,5738,4564,5216,5192,3946,1217,3975,385,17,21,98,22,3,34,111,26,103,92,32,33,31,28,16,29,95,30,104,18,19,99])).
% 180.83/180.86  cnf(6459,plain,
% 180.83/180.86     (~P16(f15(f15(x64591)),x64591)),
% 180.83/180.86     inference(scs_inference,[],[6125,2414,6279,6215,6140,6241,6414,6224,2,152,552,91,385,97,151,94])).
% 180.83/180.86  cnf(6479,plain,
% 180.83/180.86     (~P13(f15(x64791),x64791)),
% 180.83/180.86     inference(rename_variables,[],[4717])).
% 180.83/180.86  cnf(6481,plain,
% 180.83/180.86     (P9(f16(x64811))),
% 180.83/180.86     inference(rename_variables,[],[48])).
% 180.83/180.86  cnf(6486,plain,
% 180.83/180.86     (P16(f8(f16(a2)),f8(f15(a1)))),
% 180.83/180.86     inference(scs_inference,[],[48,187,189,6125,2414,4717,6479,66,6279,4452,4264,3109,4002,4286,6215,6333,6140,6241,6428,6324,6376,6411,6414,6355,6224,2,152,552,91,385,97,151,94,100,80,4295,653,21,17,3,98,22,26,111,92,18])).
% 180.83/180.86  cnf(6487,plain,
% 180.83/180.86     (P6(f7(f7(a5)))),
% 180.83/180.86     inference(scs_inference,[],[48,187,189,6125,2414,4717,6479,66,6279,4452,4264,3109,4002,4050,4286,6215,6333,6140,6241,6428,6324,6234,6376,6411,6414,6355,6224,2,152,552,91,385,97,151,94,100,80,4295,653,21,17,3,98,22,26,111,92,18,95])).
% 180.83/180.86  cnf(6491,plain,
% 180.83/180.86     (P16(f8(f16(f8(f15(a2)))),a1)),
% 180.83/180.86     inference(scs_inference,[],[48,6481,187,189,6125,2414,3765,4717,6479,66,6279,4452,4264,3109,4002,4050,4286,6215,4407,6333,6140,6241,6428,6324,6234,6376,6411,6414,6355,6224,2,152,552,91,385,97,151,94,100,80,4295,653,21,17,3,98,22,26,111,92,18,95,104,99])).
% 180.83/180.86  cnf(6493,plain,
% 180.83/180.86     (P9(f16(x64931))),
% 180.83/180.86     inference(rename_variables,[],[48])).
% 180.83/180.86  cnf(6495,plain,
% 180.83/180.86     (P13(f6(a11),f16(f6(a11)))),
% 180.83/180.86     inference(scs_inference,[],[48,6481,6493,187,60,189,6125,2414,3765,4717,6479,66,6279,4452,4264,3109,4002,3990,4050,4286,6215,4407,6333,6140,6241,6428,6324,6234,6376,6411,6414,6355,6224,2,152,552,91,385,97,151,94,100,80,4295,653,21,17,3,98,22,26,111,92,18,95,104,99,112])).
% 180.83/180.86  cnf(6499,plain,
% 180.83/180.86     (P5(f8(f15(f8(f15(a1)))),f15(x64991))),
% 180.83/180.86     inference(scs_inference,[],[48,6481,6493,187,60,189,6125,2414,3765,4717,6479,66,6279,4452,4264,3109,4002,3990,4050,4286,6215,4407,6333,6140,6241,6428,6324,6234,6376,6411,6414,6355,6224,2,152,552,91,385,97,151,94,100,80,4295,653,21,17,3,98,22,26,111,92,18,95,104,99,112,3943])).
% 180.83/180.86  cnf(6523,plain,
% 180.83/180.86     (P5(f8(f13(f13(a2))),f13(f14(f13(a2))))),
% 180.83/180.86     inference(scs_inference,[],[2414,4064,2,152])).
% 180.83/180.86  cnf(6527,plain,
% 180.83/180.86     (~E(f15(f15(x65271)),x65271)),
% 180.83/180.86     inference(scs_inference,[],[2414,4064,6117,6118,6459,6095,2,152,552,385,151,80])).
% 180.83/180.86  cnf(6533,plain,
% 180.83/180.86     (~P16(f15(x65331),f8(f15(a2)))),
% 180.83/180.86     inference(scs_inference,[],[2414,4064,6234,6259,6117,6118,6163,6459,6095,2,152,552,385,151,80,91,97,94])).
% 180.83/180.86  cnf(6545,plain,
% 180.83/180.86     (~P13(f15(x65451),x65451)),
% 180.83/180.86     inference(rename_variables,[],[4717])).
% 180.83/180.86  cnf(6555,plain,
% 180.83/180.86     (P9(f16(x65551))),
% 180.83/180.86     inference(rename_variables,[],[48])).
% 180.83/180.86  cnf(6560,plain,
% 180.83/180.86     (P16(f8(f16(f13(f13(a2)))),f13(f14(f13(a2))))),
% 180.83/180.86     inference(scs_inference,[],[48,6555,2414,4064,3765,4717,6545,4096,904,4299,4095,4050,6088,4407,1963,6234,6414,6302,6171,4214,6259,6117,6118,6431,6486,6236,6364,6163,6459,6095,2,152,552,385,151,80,91,97,94,21,17,22,3,26,98,92,95,111,104,18,99])).
% 180.83/180.86  cnf(6562,plain,
% 180.83/180.86     (P9(f16(x65621))),
% 180.83/180.86     inference(rename_variables,[],[48])).
% 180.83/180.86  cnf(6564,plain,
% 180.83/180.86     (P13(f7(a5),f16(f7(a5)))),
% 180.83/180.86     inference(scs_inference,[],[48,6555,6562,60,2414,4064,3765,4717,6545,4096,904,4299,4095,4050,6088,4407,1963,6234,6414,6302,6171,4214,6259,6117,6118,6431,6486,6236,6364,6163,6459,6095,2,152,552,385,151,80,91,97,94,21,17,22,3,26,98,92,95,111,104,18,99,112])).
% 180.83/180.86  cnf(6594,plain,
% 180.83/180.86     (E(f13(x65941),a1)),
% 180.83/180.86     inference(rename_variables,[],[4125])).
% 180.83/180.86  cnf(6598,plain,
% 180.83/180.86     (P16(f8(f16(f13(f13(a2)))),a1)),
% 180.83/180.86     inference(scs_inference,[],[261,4717,64,6279,4094,4125,6594,6414,6215,6459,6236,4630,6163,6560,6523,6527,6277,6533,2,152,97,80,94,91,21,17,3,26,22,98,18])).
% 180.83/180.86  cnf(6664,plain,
% 180.83/180.86     (P5(f8(f10(x66641,a2)),f10(x66641,a1))),
% 180.83/180.86     inference(scs_inference,[],[4087,4094,2,152])).
% 180.83/180.86  cnf(6704,plain,
% 180.83/180.86     (P5(f8(f14(a2)),f14(a1))),
% 180.83/180.86     inference(scs_inference,[],[4086,2,152])).
% 180.83/180.86  cnf(6713,plain,
% 180.83/180.86     (P5(f8(f10(a2,a2)),f10(a1,a2))),
% 180.83/180.86     inference(scs_inference,[],[4717,4086,4452,6459,5962,6086,4882,6084,6664,2,152,91,97,26,17,22])).
% 180.83/180.86  cnf(6719,plain,
% 180.83/180.86     (P16(f8(f16(f8(f15(a2)))),f8(f15(a1)))),
% 180.83/180.86     inference(scs_inference,[],[187,4717,4087,61,4086,6414,4452,6459,5962,6527,6086,4882,6084,6491,6664,2,152,91,97,26,17,22,21,3,18])).
% 180.83/180.86  cnf(6755,plain,
% 180.83/180.86     (~P13(f15(x67551),x67551)),
% 180.83/180.86     inference(rename_variables,[],[4717])).
% 180.83/180.86  cnf(6766,plain,
% 180.83/180.86     (P9(f16(x67661))),
% 180.83/180.86     inference(rename_variables,[],[48])).
% 180.83/180.86  cnf(6768,plain,
% 180.83/180.86     (P13(f7(f7(a5)),f16(f7(f7(a5))))),
% 180.83/180.86     inference(scs_inference,[],[48,6766,187,60,4717,6755,6414,4125,6459,4008,4095,3996,6527,1963,4441,6110,4633,6114,4783,6564,6719,6598,6704,6487,2,152,97,91,22,17,21,26,3,18,98,92,111,112])).
% 180.83/180.86  cnf(6793,plain,
% 180.83/180.86     (~P13(f15(x67931),x67931)),
% 180.83/180.86     inference(rename_variables,[],[4717])).
% 180.83/180.86  cnf(6806,plain,
% 180.83/180.86     (E(f8(f16(f13(f13(a2)))),a1)),
% 180.83/180.86     inference(scs_inference,[],[48,121,4088,4717,6793,4094,6414,4452,6459,4008,6527,4131,4398,4004,4550,6598,4121,4797,6495,6713,2,152,91,97,4884,4951,5014,4826,4763,4801,4350,17,26,21,22,3,92,111,98])).
% 180.83/180.86  cnf(6821,plain,
% 180.83/180.86     (E(f9(a1,x68211),f9(a2,x68211))),
% 180.83/180.86     inference(scs_inference,[],[4095,2])).
% 180.83/180.86  cnf(6888,plain,
% 180.83/180.86     (E(f9(a1,a1),f9(a2,a2))),
% 180.83/180.86     inference(scs_inference,[],[4282,2])).
% 180.83/180.86  cnf(6918,plain,
% 180.83/180.86     (P5(f8(f8(f15(a2))),a2)),
% 180.83/180.86     inference(scs_inference,[],[480,152])).
% 180.83/180.86  cnf(6963,plain,
% 180.83/180.86     (~P13(f15(x69631),x69631)),
% 180.83/180.86     inference(rename_variables,[],[4717])).
% 180.83/180.86  cnf(6967,plain,
% 180.83/180.86     (P9(f16(x69671))),
% 180.83/180.86     inference(rename_variables,[],[48])).
% 180.83/180.86  cnf(6972,plain,
% 180.83/180.86     (P13(f8(f15(a4)),f16(f8(f15(a4))))),
% 180.83/180.86     inference(scs_inference,[],[48,6967,60,4717,6963,239,6414,6459,6527,4093,4380,2462,4090,4052,4652,4076,6768,6918,6123,123,6499,2,152,97,91,552,17,22,3,26,21,111,92,112])).
% 180.83/180.86  cnf(6991,plain,
% 180.83/180.86     (P5(f8(f9(f8(f15(a1)),x69911)),f9(a1,x69911))),
% 180.83/180.86     inference(scs_inference,[],[4085,2494,4158,2,152,91,151])).
% 180.83/180.86  cnf(7001,plain,
% 180.83/180.86     (~P13(f15(x70011),x70011)),
% 180.83/180.86     inference(rename_variables,[],[4717])).
% 180.83/180.86  cnf(7006,plain,
% 180.83/180.86     (P9(f16(x70061))),
% 180.83/180.86     inference(rename_variables,[],[48])).
% 180.83/180.86  cnf(7008,plain,
% 180.83/180.86     (P13(f7(f12(a11)),f16(f7(f12(a11))))),
% 180.83/180.86     inference(scs_inference,[],[48,7006,60,4717,7001,6414,6459,6527,4085,4229,4214,6163,2494,6265,4654,4158,6972,6133,888,6217,2,152,91,151,17,22,21,3,26,92,111,112])).
% 180.83/180.86  cnf(7031,plain,
% 180.83/180.86     (P5(f8(f9(f8(f15(a1)),a2)),f9(a1,a1))),
% 180.83/180.86     inference(scs_inference,[],[4096,6459,6527,290,6333,4383,6224,4575,6991,2,152,91,5098,5324,5114,5132,17,3,22])).
% 180.83/180.86  cnf(7039,plain,
% 180.83/180.86     (P9(f16(x70391))),
% 180.83/180.86     inference(rename_variables,[],[48])).
% 180.83/180.86  cnf(7041,plain,
% 180.83/180.86     (P13(f8(f15(a3)),f16(f8(f15(a3))))),
% 180.83/180.86     inference(scs_inference,[],[48,7039,60,4717,4096,6414,6459,6527,290,6333,4383,6224,6499,4721,4575,7008,6991,1360,2,152,91,5098,5324,5114,5132,17,3,22,21,26,111,112])).
% 180.83/180.86  cnf(7043,plain,
% 180.83/180.86     (P9(f16(x70431))),
% 180.83/180.86     inference(rename_variables,[],[48])).
% 180.83/180.86  cnf(7052,plain,
% 180.83/180.86     (P16(f8(f16(a1)),a1)),
% 180.83/180.86     inference(scs_inference,[],[48,7039,7043,60,4717,4096,6125,6414,3765,6459,6527,290,2494,6333,4383,6224,6499,4721,4575,7008,6991,1360,2,152,91,5098,5324,5114,5132,17,3,22,21,26,111,112,99,96,20,18])).
% 180.83/180.86  cnf(7076,plain,
% 180.83/180.86     (E(f8(f16(a1)),a1)),
% 180.83/180.86     inference(scs_inference,[],[48,187,121,4717,6459,6527,4214,6224,5918,6095,3166,4755,6888,7041,7052,6309,7031,6219,2,152,91,22,17,21,3,26,18,111,98])).
% 180.83/180.86  cnf(7241,plain,
% 180.83/180.86     (~P13(f12(a3),f16(f14(x72411)))),
% 180.83/180.86     inference(scs_inference,[],[48,239,6459,6527,322,4267,4089,4497,6240,4949,2,152,91,22,17,3,111])).
% 180.83/180.86  cnf(7841,plain,
% 180.83/180.86     (P13(f8(f16(a1)),f15(x78411))),
% 180.83/180.86     inference(scs_inference,[],[6806,7076,152,2,5742,5759,3943,3975])).
% 180.83/180.86  cnf(8407,plain,
% 180.83/180.86     (P16(f16(x84071),f15(x84071))),
% 180.83/180.86     inference(rename_variables,[],[64])).
% 180.83/180.86  cnf(8421,plain,
% 180.83/180.86     ($false),
% 180.83/180.86     inference(scs_inference,[],[48,71,44,64,8407,6037,7241,6096,1108,7841,6312,6821,6888,239,1106,4717,5801,148,105,7,76,12,10,13,4,84,8,6,15,83,14,77,5,11,27,82,101,9,80,94,100,103,3975,96,112]),
% 180.83/180.86     ['proof']).
% 180.83/180.86  % SZS output end Proof
% 180.83/180.86  % Total time :180.170000s
%------------------------------------------------------------------------------