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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SEU198+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n026.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 15:01:42 EDT 2024

% Result   : Theorem 117.84s 117.98s
% Output   : CNFRefutation 117.94s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEU198+1 : TPTP v8.2.0. Released v3.3.0.
% 0.00/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Fri Jun 21 15:18:09 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.20/0.56  start to proof:theBenchmark
% 117.84/117.96  %-------------------------------------------
% 117.84/117.96  % File        :CSE---1.7
% 117.84/117.96  % Problem     :theBenchmark
% 117.84/117.96  % Transform   :cnf
% 117.84/117.96  % Format      :tptp:raw
% 117.84/117.96  % Command     :java -jar mcs_scs.jar %d %s
% 117.84/117.96  
% 117.84/117.96  % Result      :Theorem 117.300000s
% 117.84/117.96  % Output      :CNFRefutation 117.300000s
% 117.84/117.96  %-------------------------------------------
% 117.84/117.97  %------------------------------------------------------------------------------
% 117.84/117.97  % File     : SEU198+1 : TPTP v8.2.0. Released v3.3.0.
% 117.84/117.97  % Domain   : Set theory
% 117.84/117.97  % Problem  : MPTP bushy problem t116_relat_1
% 117.84/117.97  % Version  : [Urb07] axioms : Especial.
% 117.84/117.97  % English  :
% 117.84/117.97  
% 117.84/117.97  % Refs     : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 117.84/117.97  %          : [Urb07] Urban (2006), Email to G. Sutcliffe
% 117.84/117.97  % Source   : [Urb07]
% 117.84/117.97  % Names    : bushy-t116_relat_1 [Urb07]
% 117.84/117.97  
% 117.84/117.97  % Status   : Theorem
% 117.84/117.97  % Rating   : 0.14 v8.1.0, 0.11 v7.5.0, 0.12 v7.4.0, 0.13 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.09 v7.0.0, 0.13 v6.4.0, 0.19 v6.3.0, 0.12 v6.1.0, 0.23 v6.0.0, 0.26 v5.4.0, 0.32 v5.3.0, 0.33 v5.2.0, 0.20 v5.1.0, 0.24 v5.0.0, 0.21 v4.1.0, 0.22 v4.0.0, 0.25 v3.7.0, 0.10 v3.5.0, 0.11 v3.4.0, 0.16 v3.3.0
% 117.84/117.97  % Syntax   : Number of formulae    :   31 (  10 unt;   0 def)
% 117.84/117.97  %            Number of atoms       :   62 (   2 equ)
% 117.84/117.97  %            Maximal formula atoms :    4 (   2 avg)
% 117.84/117.97  %            Number of connectives :   43 (  12   ~;   1   |;  14   &)
% 117.84/117.97  %                                         (   3 <=>;  13  =>;   0  <=;   0 <~>)
% 117.84/117.97  %            Maximal formula depth :    7 (   4 avg)
% 117.84/117.97  %            Maximal term depth    :    3 (   1 avg)
% 117.84/117.97  %            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
% 117.84/117.97  %            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
% 117.84/117.97  %            Number of variables   :   45 (  38   !;   7   ?)
% 117.84/117.97  % SPC      : FOF_THM_RFO_SEQ
% 117.84/117.97  
% 117.84/117.97  % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 117.84/117.97  %            library, www.mizar.org
% 117.84/117.97  %------------------------------------------------------------------------------
% 117.84/117.97  fof(antisymmetry_r2_hidden,axiom,
% 117.84/117.97      ! [A,B] :
% 117.84/117.97        ( in(A,B)
% 117.84/117.97       => ~ in(B,A) ) ).
% 117.84/117.97  
% 117.84/117.97  fof(cc1_relat_1,axiom,
% 117.84/117.97      ! [A] :
% 117.84/117.97        ( empty(A)
% 117.84/117.97       => relation(A) ) ).
% 117.84/117.97  
% 117.84/117.97  fof(d3_tarski,axiom,
% 117.84/117.97      ! [A,B] :
% 117.84/117.97        ( subset(A,B)
% 117.84/117.97      <=> ! [C] :
% 117.84/117.97            ( in(C,A)
% 117.84/117.97           => in(C,B) ) ) ).
% 117.84/117.97  
% 117.84/117.97  fof(dt_k1_xboole_0,axiom,
% 117.84/117.97      $true ).
% 117.84/117.97  
% 117.84/117.97  fof(dt_k1_zfmisc_1,axiom,
% 117.84/117.97      $true ).
% 117.84/117.97  
% 117.84/117.97  fof(dt_k2_relat_1,axiom,
% 117.84/117.97      $true ).
% 117.84/117.97  
% 117.84/117.97  fof(dt_k8_relat_1,axiom,
% 117.84/117.97      ! [A,B] :
% 117.84/117.97        ( relation(B)
% 117.84/117.97       => relation(relation_rng_restriction(A,B)) ) ).
% 117.84/117.97  
% 117.84/117.97  fof(dt_m1_subset_1,axiom,
% 117.84/117.97      $true ).
% 117.84/117.97  
% 117.84/117.97  fof(existence_m1_subset_1,axiom,
% 117.84/117.97      ! [A] :
% 117.84/117.97      ? [B] : element(B,A) ).
% 117.84/117.97  
% 117.84/117.97  fof(fc1_subset_1,axiom,
% 117.84/117.97      ! [A] : ~ empty(powerset(A)) ).
% 117.84/117.97  
% 117.84/117.97  fof(fc1_xboole_0,axiom,
% 117.84/117.97      empty(empty_set) ).
% 117.84/117.97  
% 117.84/117.97  fof(fc4_relat_1,axiom,
% 117.84/117.97      ( empty(empty_set)
% 117.84/117.97      & relation(empty_set) ) ).
% 117.84/117.97  
% 117.84/117.97  fof(fc6_relat_1,axiom,
% 117.84/117.97      ! [A] :
% 117.84/117.97        ( ( ~ empty(A)
% 117.84/117.97          & relation(A) )
% 117.84/117.97       => ~ empty(relation_rng(A)) ) ).
% 117.84/117.97  
% 117.84/117.97  fof(fc8_relat_1,axiom,
% 117.84/117.97      ! [A] :
% 117.84/117.97        ( empty(A)
% 117.84/117.97       => ( empty(relation_rng(A))
% 117.84/117.97          & relation(relation_rng(A)) ) ) ).
% 117.84/117.97  
% 117.84/117.97  fof(rc1_relat_1,axiom,
% 117.84/117.97      ? [A] :
% 117.84/117.97        ( empty(A)
% 117.84/117.97        & relation(A) ) ).
% 117.84/117.97  
% 117.84/117.97  fof(rc1_subset_1,axiom,
% 117.84/117.97      ! [A] :
% 117.84/117.97        ( ~ empty(A)
% 117.84/117.97       => ? [B] :
% 117.84/117.97            ( element(B,powerset(A))
% 117.84/117.97            & ~ empty(B) ) ) ).
% 117.84/117.97  
% 117.84/117.97  fof(rc1_xboole_0,axiom,
% 117.84/117.97      ? [A] : empty(A) ).
% 117.84/117.97  
% 117.84/117.97  fof(rc2_relat_1,axiom,
% 117.84/117.97      ? [A] :
% 117.84/117.97        ( ~ empty(A)
% 117.84/117.97        & relation(A) ) ).
% 117.84/117.97  
% 117.84/117.97  fof(rc2_subset_1,axiom,
% 117.84/117.97      ! [A] :
% 117.84/117.97      ? [B] :
% 117.84/117.97        ( element(B,powerset(A))
% 117.84/117.97        & empty(B) ) ).
% 117.84/117.97  
% 117.84/117.97  fof(rc2_xboole_0,axiom,
% 117.84/117.97      ? [A] : ~ empty(A) ).
% 117.84/117.97  
% 117.84/117.97  fof(reflexivity_r1_tarski,axiom,
% 117.84/117.97      ! [A,B] : subset(A,A) ).
% 117.84/117.97  
% 117.84/117.97  fof(t115_relat_1,axiom,
% 117.84/117.97      ! [A,B,C] :
% 117.84/117.97        ( relation(C)
% 117.84/117.97       => ( in(A,relation_rng(relation_rng_restriction(B,C)))
% 117.84/117.97        <=> ( in(A,B)
% 117.84/117.97            & in(A,relation_rng(C)) ) ) ) ).
% 117.84/117.97  
% 117.84/117.97  fof(t116_relat_1,conjecture,
% 117.84/117.97      ! [A,B] :
% 117.84/117.98        ( relation(B)
% 117.84/117.98       => subset(relation_rng(relation_rng_restriction(A,B)),A) ) ).
% 117.84/117.98  
% 117.84/117.98  fof(t1_subset,axiom,
% 117.84/117.98      ! [A,B] :
% 117.84/117.98        ( in(A,B)
% 117.84/117.98       => element(A,B) ) ).
% 117.84/117.98  
% 117.84/117.98  fof(t2_subset,axiom,
% 117.84/117.98      ! [A,B] :
% 117.84/117.98        ( element(A,B)
% 117.84/117.98       => ( empty(B)
% 117.84/117.98          | in(A,B) ) ) ).
% 117.84/117.98  
% 117.84/117.98  fof(t3_subset,axiom,
% 117.84/117.98      ! [A,B] :
% 117.84/117.98        ( element(A,powerset(B))
% 117.84/117.98      <=> subset(A,B) ) ).
% 117.84/117.98  
% 117.84/117.98  fof(t4_subset,axiom,
% 117.84/117.98      ! [A,B,C] :
% 117.84/117.98        ( ( in(A,B)
% 117.84/117.98          & element(B,powerset(C)) )
% 117.84/117.98       => element(A,C) ) ).
% 117.84/117.98  
% 117.84/117.98  fof(t5_subset,axiom,
% 117.84/117.98      ! [A,B,C] :
% 117.84/117.98        ~ ( in(A,B)
% 117.84/117.98          & element(B,powerset(C))
% 117.84/117.98          & empty(C) ) ).
% 117.84/117.98  
% 117.84/117.98  fof(t6_boole,axiom,
% 117.84/117.98      ! [A] :
% 117.84/117.98        ( empty(A)
% 117.84/117.98       => A = empty_set ) ).
% 117.84/117.98  
% 117.84/117.98  fof(t7_boole,axiom,
% 117.84/117.98      ! [A,B] :
% 117.84/117.98        ~ ( in(A,B)
% 117.84/117.98          & empty(B) ) ).
% 117.84/117.98  
% 117.84/117.98  fof(t8_boole,axiom,
% 117.84/117.98      ! [A,B] :
% 117.84/117.98        ~ ( empty(A)
% 117.84/117.98          & A != B
% 117.84/117.98          & empty(B) ) ).
% 117.84/117.98  
% 117.84/117.98  %------------------------------------------------------------------------------
% 117.84/117.98  %-------------------------------------------
% 117.84/117.98  % Proof found
% 117.84/117.98  % SZS status Theorem for theBenchmark
% 117.84/117.98  % SZS output start Proof
% 117.94/117.99  %ClaNum:59(EqnAxiom:20)
% 117.94/117.99  %VarNum:102(SingletonVarNum:50)
% 117.94/117.99  %MaxLitNum:4
% 117.94/117.99  %MaxfuncDepth:2
% 117.94/117.99  %SharedTerms:19
% 117.94/117.99  %goalClause: 28 36
% 117.94/117.99  %singleGoalClaCount:2
% 117.94/117.99  [22]P1(a1)
% 117.94/117.99  [23]P1(a2)
% 117.94/117.99  [24]P1(a6)
% 117.94/117.99  [25]P3(a1)
% 117.94/117.99  [26]P3(a2)
% 117.94/117.99  [27]P3(a8)
% 117.94/117.99  [28]P3(a3)
% 117.94/117.99  [33]~P1(a8)
% 117.94/117.99  [34]~P1(a11)
% 117.94/117.99  [36]~P5(f14(f13(a12,a3)),a12)
% 117.94/117.99  [30]P5(x301,x301)
% 117.94/117.99  [29]P1(f9(x291))
% 117.94/117.99  [31]P2(f4(x311),x311)
% 117.94/117.99  [32]P2(f9(x321),f10(x321))
% 117.94/117.99  [35]~P1(f10(x351))
% 117.94/117.99  [37]~P1(x371)+E(x371,a1)
% 117.94/117.99  [38]~P1(x381)+P3(x381)
% 117.94/117.99  [40]~P1(x401)+P1(f14(x401))
% 117.94/117.99  [41]~P1(x411)+P3(f14(x411))
% 117.94/117.99  [42]P1(x421)+~P1(f7(x421))
% 117.94/117.99  [45]P1(x451)+P2(f7(x451),f10(x451))
% 117.94/117.99  [44]~P1(x441)+~P4(x442,x441)
% 117.94/117.99  [46]~P4(x461,x462)+P2(x461,x462)
% 117.94/117.99  [50]~P4(x502,x501)+~P4(x501,x502)
% 117.94/117.99  [47]~P3(x472)+P3(f13(x471,x472))
% 117.94/117.99  [49]~P5(x491,x492)+P2(x491,f10(x492))
% 117.94/117.99  [51]P5(x511,x512)+~P2(x511,f10(x512))
% 117.94/117.99  [52]P5(x521,x522)+P4(f5(x521,x522),x521)
% 117.94/117.99  [56]P5(x561,x562)+~P4(f5(x561,x562),x562)
% 117.94/117.99  [43]~P3(x431)+P1(x431)+~P1(f14(x431))
% 117.94/117.99  [39]~P1(x392)+~P1(x391)+E(x391,x392)
% 117.94/117.99  [48]~P2(x482,x481)+P1(x481)+P4(x482,x481)
% 117.94/117.99  [53]~P5(x533,x532)+P4(x531,x532)+~P4(x531,x533)
% 117.94/117.99  [54]~P1(x541)+~P4(x542,x543)+~P2(x543,f10(x541))
% 117.94/117.99  [55]P2(x551,x552)+~P4(x551,x553)+~P2(x553,f10(x552))
% 117.94/117.99  [58]P4(x581,x582)+~P3(x583)+~P4(x581,f14(f13(x582,x583)))
% 117.94/117.99  [59]~P3(x592)+P4(x591,f14(x592))+~P4(x591,f14(f13(x593,x592)))
% 117.94/117.99  [57]~P3(x573)+~P4(x571,x572)+~P4(x571,f14(x573))+P4(x571,f14(f13(x572,x573)))
% 117.94/117.99  %EqnAxiom
% 117.94/117.99  [1]E(x11,x11)
% 117.94/117.99  [2]E(x22,x21)+~E(x21,x22)
% 117.94/117.99  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 117.94/117.99  [4]~E(x41,x42)+E(f9(x41),f9(x42))
% 117.94/117.99  [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 117.94/117.99  [6]~E(x61,x62)+E(f14(x61),f14(x62))
% 117.94/117.99  [7]~E(x71,x72)+E(f10(x71),f10(x72))
% 117.94/117.99  [8]~E(x81,x82)+E(f5(x81,x83),f5(x82,x83))
% 117.94/117.99  [9]~E(x91,x92)+E(f5(x93,x91),f5(x93,x92))
% 117.94/117.99  [10]~E(x101,x102)+E(f13(x101,x103),f13(x102,x103))
% 117.94/117.99  [11]~E(x111,x112)+E(f13(x113,x111),f13(x113,x112))
% 117.94/117.99  [12]~E(x121,x122)+E(f7(x121),f7(x122))
% 117.94/117.99  [13]~P1(x131)+P1(x132)+~E(x131,x132)
% 117.94/117.99  [14]P4(x142,x143)+~E(x141,x142)+~P4(x141,x143)
% 117.94/117.99  [15]P4(x153,x152)+~E(x151,x152)+~P4(x153,x151)
% 117.94/117.99  [16]~P3(x161)+P3(x162)+~E(x161,x162)
% 117.94/117.99  [17]P5(x172,x173)+~E(x171,x172)+~P5(x171,x173)
% 117.94/117.99  [18]P5(x183,x182)+~E(x181,x182)+~P5(x183,x181)
% 117.94/117.99  [19]P2(x192,x193)+~E(x191,x192)+~P2(x191,x193)
% 117.94/117.99  [20]P2(x203,x202)+~E(x201,x202)+~P2(x203,x201)
% 117.94/117.99  
% 117.94/117.99  %-------------------------------------------
% 117.94/118.01  cnf(60,plain,
% 117.94/118.01     (P5(f4(f10(x601)),x601)),
% 117.94/118.01     inference(scs_inference,[],[31,51])).
% 117.94/118.01  cnf(61,plain,
% 117.94/118.01     (P2(f4(x611),x611)),
% 117.94/118.01     inference(rename_variables,[],[31])).
% 117.94/118.01  cnf(63,plain,
% 117.94/118.01     (~P4(x631,a1)),
% 117.94/118.01     inference(scs_inference,[],[31,22,51,44])).
% 117.94/118.01  cnf(66,plain,
% 117.94/118.01     (P5(x661,x661)),
% 117.94/118.01     inference(rename_variables,[],[30])).
% 117.94/118.01  cnf(69,plain,
% 117.94/118.01     (P4(f4(a8),a8)),
% 117.94/118.01     inference(scs_inference,[],[36,30,66,31,61,22,33,51,44,17,18,48])).
% 117.94/118.01  cnf(70,plain,
% 117.94/118.01     (P2(f4(x701),x701)),
% 117.94/118.01     inference(rename_variables,[],[31])).
% 117.94/118.01  cnf(72,plain,
% 117.94/118.01     (~P4(x721,f4(f10(a1)))),
% 117.94/118.01     inference(scs_inference,[],[36,30,66,31,61,70,22,33,51,44,17,18,48,54])).
% 117.94/118.01  cnf(75,plain,
% 117.94/118.01     (~E(a8,a1)),
% 117.94/118.01     inference(scs_inference,[],[36,30,66,31,61,70,22,33,51,44,17,18,48,54,15])).
% 117.94/118.01  cnf(87,plain,
% 117.94/118.01     (P5(f9(x871),x871)),
% 117.94/118.01     inference(scs_inference,[],[32,51])).
% 117.94/118.01  cnf(89,plain,
% 117.94/118.01     (~P4(x891,a2)),
% 117.94/118.01     inference(scs_inference,[],[32,23,51,44])).
% 117.94/118.01  cnf(91,plain,
% 117.94/118.01     (P5(a1,x911)),
% 117.94/118.01     inference(scs_inference,[],[63,32,23,51,44,52])).
% 117.94/118.01  cnf(94,plain,
% 117.94/118.01     (P4(f4(a11),a11)),
% 117.94/118.01     inference(scs_inference,[],[63,32,23,34,31,51,44,52,48])).
% 117.94/118.01  cnf(97,plain,
% 117.94/118.01     (~P4(x971,f9(a2))),
% 117.94/118.01     inference(scs_inference,[],[63,32,23,34,31,51,44,52,48,54])).
% 117.94/118.01  cnf(98,plain,
% 117.94/118.01     (P2(f9(x981),f10(x981))),
% 117.94/118.01     inference(rename_variables,[],[32])).
% 117.94/118.01  cnf(106,plain,
% 117.94/118.01     (P2(x1061,f10(x1062))+~E(f9(x1062),x1061)),
% 117.94/118.01     inference(scs_inference,[],[36,60,72,63,32,98,69,23,34,31,51,44,52,48,54,15,17,50,19])).
% 117.94/118.01  cnf(112,plain,
% 117.94/118.01     (~P4(x1121,f9(a2))),
% 117.94/118.01     inference(rename_variables,[],[97])).
% 117.94/118.01  cnf(114,plain,
% 117.94/118.01     (~P4(x1141,a6)),
% 117.94/118.01     inference(scs_inference,[],[97,24,52,44])).
% 117.94/118.01  cnf(116,plain,
% 117.94/118.01     (~P4(x1161,f4(f10(a6)))),
% 117.94/118.01     inference(scs_inference,[],[97,24,31,52,44,54])).
% 117.94/118.01  cnf(117,plain,
% 117.94/118.01     (P2(f4(x1171),x1171)),
% 117.94/118.01     inference(rename_variables,[],[31])).
% 117.94/118.01  cnf(119,plain,
% 117.94/118.01     (P4(f4(f10(x1191)),f10(x1191))),
% 117.94/118.01     inference(scs_inference,[],[97,24,35,31,117,52,44,54,48])).
% 117.94/118.01  cnf(120,plain,
% 117.94/118.01     (P2(f4(x1201),x1201)),
% 117.94/118.01     inference(rename_variables,[],[31])).
% 117.94/118.01  cnf(126,plain,
% 117.94/118.01     (~P1(f14(f13(a12,a3)))),
% 117.94/118.01     inference(scs_inference,[],[36,87,97,112,94,24,29,35,31,117,52,44,54,48,17,15,39])).
% 117.94/118.01  cnf(129,plain,
% 117.94/118.01     (~P1(f13(a12,a3))),
% 117.94/118.01     inference(scs_inference,[],[36,87,97,112,94,24,29,35,31,117,52,44,54,48,17,15,39,40])).
% 117.94/118.01  cnf(133,plain,
% 117.94/118.01     (P2(x1331,x1332)+~E(f4(x1332),x1331)),
% 117.94/118.01     inference(scs_inference,[],[36,87,97,112,94,24,29,35,31,117,120,52,44,54,48,17,15,39,40,50,19])).
% 117.94/118.01  cnf(144,plain,
% 117.94/118.01     (~P4(x1441,f9(x1442))),
% 117.94/118.01     inference(scs_inference,[],[116,29,52,44])).
% 117.94/118.01  cnf(146,plain,
% 117.94/118.01     (P4(f4(f13(a12,a3)),f13(a12,a3))),
% 117.94/118.01     inference(scs_inference,[],[116,129,29,31,52,44,48])).
% 117.94/118.01  cnf(163,plain,
% 117.94/118.01     (P4(f9(x1631),f10(x1631))),
% 117.94/118.01     inference(scs_inference,[],[32,144,35,52,48])).
% 117.94/118.01  cnf(177,plain,
% 117.94/118.01     (P5(a2,x1771)),
% 117.94/118.01     inference(scs_inference,[],[89,52])).
% 117.94/118.01  cnf(191,plain,
% 117.94/118.01     (P5(a6,x1911)),
% 117.94/118.01     inference(scs_inference,[],[114,52])).
% 117.94/118.01  cnf(192,plain,
% 117.94/118.01     (~P4(x1921,a6)),
% 117.94/118.01     inference(rename_variables,[],[114])).
% 117.94/118.01  cnf(199,plain,
% 117.94/118.01     (P5(x1991,a8)+~E(f4(a8),f5(x1991,a8))),
% 117.94/118.01     inference(scs_inference,[],[36,91,146,69,114,192,52,15,17,14,56])).
% 117.94/118.01  cnf(201,plain,
% 117.94/118.01     (~P4(a8,f5(x2011,a8))+~E(f4(a8),f5(x2011,a8))),
% 117.94/118.01     inference(scs_inference,[],[36,91,146,69,114,192,52,15,17,14,56,50])).
% 117.94/118.01  cnf(209,plain,
% 117.94/118.01     (P4(x2091,a11)+~E(f4(a11),x2091)),
% 117.94/118.01     inference(scs_inference,[],[36,177,119,94,144,15,17,14])).
% 117.94/118.01  cnf(220,plain,
% 117.94/118.01     (P4(x2201,f10(x2202))+~E(f9(x2202),x2201)),
% 117.94/118.01     inference(scs_inference,[],[36,191,146,163,72,15,17,14])).
% 117.94/118.01  cnf(221,plain,
% 117.94/118.01     (P5(x2211,f10(x2212))+~E(f9(x2212),f5(x2211,f10(x2212)))),
% 117.94/118.01     inference(scs_inference,[],[36,191,146,163,72,15,17,14,56])).
% 117.94/118.01  cnf(235,plain,
% 117.94/118.01     (P2(f4(x2351),x2352)+~E(x2351,x2352)),
% 117.94/118.01     inference(scs_inference,[],[31,119,63,15,20])).
% 117.94/118.01  cnf(238,plain,
% 117.94/118.01     (~P4(x2381,f4(x2382))+~E(x2382,f10(a1))),
% 117.94/118.01     inference(scs_inference,[],[31,119,22,63,15,20,51,54])).
% 117.94/118.01  cnf(244,plain,
% 117.94/118.01     (~P4(x2441,f4(f10(a2)))),
% 117.94/118.01     inference(scs_inference,[],[31,23,54])).
% 117.94/118.01  cnf(249,plain,
% 117.94/118.01     (P5(f4(f10(a2)),x2491)),
% 117.94/118.01     inference(scs_inference,[],[31,146,23,89,54,15,52])).
% 117.94/118.01  cnf(262,plain,
% 117.94/118.01     (P3(f13(x2621,a6))),
% 117.94/118.01     inference(scs_inference,[],[24,38,47])).
% 117.94/118.01  cnf(265,plain,
% 117.94/118.01     (E(f14(f9(x2651)),a1)),
% 117.94/118.01     inference(scs_inference,[],[29,37,40])).
% 117.94/118.01  cnf(266,plain,
% 117.94/118.01     (E(a1,f14(f9(x2661)))),
% 117.94/118.01     inference(scs_inference,[],[265,2])).
% 117.94/118.01  cnf(269,plain,
% 117.94/118.01     (P1(f14(f9(x2691)))),
% 117.94/118.01     inference(scs_inference,[],[25,75,22,265,2,16,3,13])).
% 117.94/118.01  cnf(270,plain,
% 117.94/118.01     (P2(f4(a1),f14(f9(x2701)))),
% 117.94/118.01     inference(scs_inference,[],[25,75,22,265,2,16,3,13,235])).
% 117.94/118.01  cnf(280,plain,
% 117.94/118.01     (~P1(f7(f13(a12,a3)))),
% 117.94/118.01     inference(scs_inference,[],[146,42,44])).
% 117.94/118.01  cnf(282,plain,
% 117.94/118.01     (P2(f7(a8),f10(a8))),
% 117.94/118.01     inference(scs_inference,[],[75,45,37])).
% 117.94/118.01  cnf(283,plain,
% 117.94/118.01     (P5(f7(a8),a8)),
% 117.94/118.01     inference(scs_inference,[],[282,51])).
% 117.94/118.01  cnf(285,plain,
% 117.94/118.01     (P2(x2851,a8)+~P4(x2851,f7(a8))),
% 117.94/118.01     inference(scs_inference,[],[282,51,55])).
% 117.94/118.01  cnf(302,plain,
% 117.94/118.01     (P5(f7(a8),x3021)+P2(f5(f7(a8),x3021),a8)),
% 117.94/118.01     inference(scs_inference,[],[285,52])).
% 117.94/118.01  cnf(309,plain,
% 117.94/118.01     (P2(f7(a8),x3091)+~E(f10(a8),x3091)),
% 117.94/118.01     inference(scs_inference,[],[283,282,18,20])).
% 117.94/118.01  cnf(321,plain,
% 117.94/118.01     (~E(f5(x3211,a8),f4(a8))+P5(x3211,a8)),
% 117.94/118.01     inference(scs_inference,[],[199,2])).
% 117.94/118.01  cnf(327,plain,
% 117.94/118.01     (~E(x3271,f4(a8))+~E(f5(x3272,a8),x3271)+P5(x3272,a8)),
% 117.94/118.01     inference(scs_inference,[],[321,3])).
% 117.94/118.01  cnf(333,plain,
% 117.94/118.01     (P2(f7(a8),f10(x3331))+P2(f5(f7(a8),x3331),a8)),
% 117.94/118.01     inference(scs_inference,[],[302,49])).
% 117.94/118.01  cnf(339,plain,
% 117.94/118.01     (~E(f5(x3391,a8),f4(a8))+~P4(a8,f5(x3391,a8))),
% 117.94/118.01     inference(scs_inference,[],[201,2])).
% 117.94/118.01  cnf(341,plain,
% 117.94/118.01     (~E(f5(x3411,f10(x3412)),f9(x3412))+P5(x3411,f10(x3412))),
% 117.94/118.01     inference(scs_inference,[],[221,2])).
% 117.94/118.01  cnf(344,plain,
% 117.94/118.01     (~E(x3441,f4(a8))+~E(f5(x3442,a8),x3441)+~P4(a8,f5(x3442,a8))),
% 117.94/118.01     inference(scs_inference,[],[339,3])).
% 117.94/118.01  cnf(346,plain,
% 117.94/118.01     (P5(x3461,f10(x3462))+~P1(f5(x3461,f10(x3462)))),
% 117.94/118.01     inference(scs_inference,[],[29,341,39])).
% 117.94/118.01  cnf(347,plain,
% 117.94/118.01     (~P1(f5(x3471,f10(x3472)))+P2(x3471,f10(f10(x3472)))),
% 117.94/118.01     inference(scs_inference,[],[346,49])).
% 117.94/118.01  cnf(368,plain,
% 117.94/118.01     (P4(f7(a8),f10(a8))),
% 117.94/118.01     inference(scs_inference,[],[282,35,48])).
% 117.94/118.01  cnf(371,plain,
% 117.94/118.01     (~P4(f10(a8),f7(a8))),
% 117.94/118.01     inference(scs_inference,[],[282,35,48,50])).
% 117.94/118.01  cnf(434,plain,
% 117.94/118.01     (~P1(f7(a8))),
% 117.94/118.01     inference(scs_inference,[],[75,37,42])).
% 117.94/118.01  cnf(435,plain,
% 117.94/118.01     (P4(f4(f7(a8)),f7(a8))),
% 117.94/118.01     inference(scs_inference,[],[31,434,48])).
% 117.94/118.01  cnf(474,plain,
% 117.94/118.01     (~P1(f14(a8))),
% 117.94/118.01     inference(scs_inference,[],[75,27,37,43])).
% 117.94/118.01  cnf(475,plain,
% 117.94/118.01     (P4(f4(f14(a8)),f14(a8))),
% 117.94/118.01     inference(scs_inference,[],[474,31,48])).
% 117.94/118.01  cnf(502,plain,
% 117.94/118.01     (P2(a1,f10(x5021))),
% 117.94/118.01     inference(scs_inference,[],[29,37,106])).
% 117.94/118.01  cnf(503,plain,
% 117.94/118.01     (P2(f14(f9(x5031)),f10(x5032))),
% 117.94/118.01     inference(scs_inference,[],[266,502,19])).
% 117.94/118.01  cnf(536,plain,
% 117.94/118.01     (~P1(f7(f10(x5361)))),
% 117.94/118.01     inference(scs_inference,[],[119,42,44])).
% 117.94/118.01  cnf(537,plain,
% 117.94/118.01     (~E(f14(f9(x5371)),f7(f14(a8)))),
% 117.94/118.01     inference(scs_inference,[],[474,269,42,13])).
% 117.94/118.01  cnf(538,plain,
% 117.94/118.01     (~P1(f7(f14(a8)))),
% 117.94/118.01     inference(scs_inference,[],[269,537,39])).
% 117.94/118.01  cnf(542,plain,
% 117.94/118.01     (P2(f7(f7(a8)),f10(f7(a8)))),
% 117.94/118.01     inference(scs_inference,[],[33,42,45])).
% 117.94/118.01  cnf(606,plain,
% 117.94/118.01     (P2(f7(f10(x6061)),f10(f10(x6061)))),
% 117.94/118.01     inference(scs_inference,[],[119,44,45])).
% 117.94/118.01  cnf(609,plain,
% 117.94/118.01     (P2(x6091,f10(x6092))+~P4(x6091,f7(f10(x6092)))),
% 117.94/118.01     inference(scs_inference,[],[606,51,55])).
% 117.94/118.01  cnf(655,plain,
% 117.94/118.01     (~P2(f10(a8),f7(a8))),
% 117.94/118.01     inference(scs_inference,[],[434,371,48])).
% 117.94/118.01  cnf(657,plain,
% 117.94/118.01     (~P4(f10(a8),f7(f7(a8)))),
% 117.94/118.01     inference(scs_inference,[],[542,434,371,48,55])).
% 117.94/118.01  cnf(715,plain,
% 117.94/118.01     (~P5(f10(x7151),f9(x7152))),
% 117.94/118.01     inference(scs_inference,[],[119,144,53])).
% 117.94/118.01  cnf(727,plain,
% 117.94/118.01     (~P5(f13(a12,a3),a2)),
% 117.94/118.01     inference(scs_inference,[],[146,89,53])).
% 117.94/118.01  cnf(731,plain,
% 117.94/118.01     (~P5(f10(x7311),a6)),
% 117.94/118.01     inference(scs_inference,[],[119,114,53])).
% 117.94/118.01  cnf(736,plain,
% 117.94/118.01     (~P5(f13(a12,a3),f9(x7361))),
% 117.94/118.01     inference(scs_inference,[],[146,144,53])).
% 117.94/118.01  cnf(748,plain,
% 117.94/118.01     (~P5(f10(x7481),a2)),
% 117.94/118.01     inference(scs_inference,[],[119,89,53])).
% 117.94/118.01  cnf(752,plain,
% 117.94/118.01     (~P5(f13(a12,a3),a6)),
% 117.94/118.01     inference(scs_inference,[],[146,114,53])).
% 117.94/118.01  cnf(756,plain,
% 117.94/118.01     (~P5(a8,f9(x7561))),
% 117.94/118.01     inference(scs_inference,[],[69,144,53])).
% 117.94/118.01  cnf(767,plain,
% 117.94/118.01     (~P5(a8,a2)),
% 117.94/118.01     inference(scs_inference,[],[69,89,53])).
% 117.94/118.01  cnf(771,plain,
% 117.94/118.01     (~P5(a11,a6)),
% 117.94/118.01     inference(scs_inference,[],[94,114,53])).
% 117.94/118.01  cnf(775,plain,
% 117.94/118.01     (~P5(a11,f9(x7751))),
% 117.94/118.01     inference(scs_inference,[],[94,144,53])).
% 117.94/118.01  cnf(787,plain,
% 117.94/118.01     (~P5(a11,a2)),
% 117.94/118.01     inference(scs_inference,[],[94,89,53])).
% 117.94/118.01  cnf(791,plain,
% 117.94/118.01     (~P5(a8,a6)),
% 117.94/118.01     inference(scs_inference,[],[69,114,53])).
% 117.94/118.01  cnf(795,plain,
% 117.94/118.01     (~P5(f14(a8),f9(x7951))),
% 117.94/118.01     inference(scs_inference,[],[475,144,53])).
% 117.94/118.01  cnf(806,plain,
% 117.94/118.02     (~P5(f14(a8),a2)),
% 117.94/118.02     inference(scs_inference,[],[475,89,53])).
% 117.94/118.02  cnf(810,plain,
% 117.94/118.02     (~P5(f14(a8),a6)),
% 117.94/118.02     inference(scs_inference,[],[475,114,53])).
% 117.94/118.02  cnf(814,plain,
% 117.94/118.02     (~P5(f7(a8),f9(x8141))),
% 117.94/118.02     inference(scs_inference,[],[435,144,53])).
% 117.94/118.02  cnf(826,plain,
% 117.94/118.02     (~P5(f7(a8),a2)),
% 117.94/118.02     inference(scs_inference,[],[435,89,53])).
% 117.94/118.02  cnf(830,plain,
% 117.94/118.02     (~P5(f7(a8),a6)),
% 117.94/118.02     inference(scs_inference,[],[435,114,53])).
% 117.94/118.02  cnf(1022,plain,
% 117.94/118.02     (~E(a1,a11)),
% 117.94/118.02     inference(scs_inference,[],[771,91,17])).
% 117.94/118.02  cnf(1125,plain,
% 117.94/118.02     (P2(f7(a11),f10(a11))),
% 117.94/118.02     inference(scs_inference,[],[1022,22,45,39])).
% 117.94/118.02  cnf(1128,plain,
% 117.94/118.02     (P2(x11281,a11)+~P4(x11281,f7(a11))),
% 117.94/118.02     inference(scs_inference,[],[1125,51,55])).
% 117.94/118.02  cnf(1191,plain,
% 117.94/118.02     (~P4(f10(a11),f7(a11))),
% 117.94/118.02     inference(scs_inference,[],[1125,35,48,50])).
% 117.94/118.02  cnf(1215,plain,
% 117.94/118.02     (~P5(f10(x12151),a1)),
% 117.94/118.02     inference(scs_inference,[],[63,119,53])).
% 117.94/118.02  cnf(1219,plain,
% 117.94/118.02     (~P5(f13(a12,a3),a1)),
% 117.94/118.02     inference(scs_inference,[],[63,146,53])).
% 117.94/118.02  cnf(1223,plain,
% 117.94/118.02     (~P5(a8,a1)),
% 117.94/118.02     inference(scs_inference,[],[63,69,53])).
% 117.94/118.02  cnf(1227,plain,
% 117.94/118.02     (~P5(a11,a1)),
% 117.94/118.02     inference(scs_inference,[],[63,94,53])).
% 117.94/118.02  cnf(1231,plain,
% 117.94/118.02     (~P5(f14(a8),a1)),
% 117.94/118.02     inference(scs_inference,[],[63,475,53])).
% 117.94/118.02  cnf(1234,plain,
% 117.94/118.02     (~P5(f7(a8),a1)),
% 117.94/118.02     inference(scs_inference,[],[63,435,53])).
% 117.94/118.02  cnf(1511,plain,
% 117.94/118.02     (P2(a2,f10(x15111))),
% 117.94/118.02     inference(scs_inference,[],[89,49,52])).
% 117.94/118.02  cnf(1529,plain,
% 117.94/118.02     (P2(f5(f7(a8),a1),a8)),
% 117.94/118.02     inference(scs_inference,[],[1234,51,333])).
% 117.94/118.02  cnf(1596,plain,
% 117.94/118.02     (P4(a2,f10(x15961))),
% 117.94/118.02     inference(scs_inference,[],[1511,35,48])).
% 117.94/118.02  cnf(1604,plain,
% 117.94/118.02     (~P4(a8,f5(f7(a8),a1))),
% 117.94/118.02     inference(scs_inference,[],[1529,33,48,50])).
% 117.94/118.02  cnf(1639,plain,
% 117.94/118.02     (~E(f10(a8),f10(a2))),
% 117.94/118.02     inference(scs_inference,[],[826,51,309])).
% 117.94/118.02  cnf(1723,plain,
% 117.94/118.02     (~E(x17231,f10(a8))+~E(f4(f7(a8)),x17231)),
% 117.94/118.02     inference(scs_inference,[],[655,133,3])).
% 117.94/118.02  cnf(1724,plain,
% 117.94/118.02     (~E(x17241,f4(f7(a8)))+~E(x17241,f10(a8))),
% 117.94/118.02     inference(scs_inference,[],[1723,2])).
% 117.94/118.02  cnf(1725,plain,
% 117.94/118.02     (~E(x17251,f7(a8))+~E(f4(x17251),f10(a8))),
% 117.94/118.02     inference(scs_inference,[],[1724,5])).
% 117.94/118.02  cnf(1726,plain,
% 117.94/118.02     (~E(f10(a8),f4(x17261))+~E(x17261,f7(a8))),
% 117.94/118.02     inference(scs_inference,[],[1725,2])).
% 117.94/118.02  cnf(1727,plain,
% 117.94/118.02     (~E(x17271,a8)+~E(f10(a8),f4(f7(x17271)))),
% 117.94/118.02     inference(scs_inference,[],[1726,12])).
% 117.94/118.02  cnf(1728,plain,
% 117.94/118.02     (~E(f4(f7(x17281)),f10(a8))+~E(x17281,a8)),
% 117.94/118.02     inference(scs_inference,[],[1727,2])).
% 117.94/118.02  cnf(1729,plain,
% 117.94/118.02     (~E(x17291,f10(a8))+~E(f4(f7(x17292)),x17291)+~E(x17292,a8)),
% 117.94/118.02     inference(scs_inference,[],[1728,3])).
% 117.94/118.02  cnf(1730,plain,
% 117.94/118.02     (~E(f7(x17301),x17302)+~E(f4(x17302),f10(a8))+~E(x17301,a8)),
% 117.94/118.02     inference(scs_inference,[],[1729,5])).
% 117.94/118.02  cnf(1799,plain,
% 117.94/118.02     (~P1(f4(a11))+P4(a1,a11)),
% 117.94/118.02     inference(scs_inference,[],[209,37])).
% 117.94/118.02  cnf(1828,plain,
% 117.94/118.02     (P4(f4(f4(a11)),f4(a11))+P4(a1,a11)),
% 117.94/118.02     inference(scs_inference,[],[31,1799,48])).
% 117.94/118.02  cnf(1986,plain,
% 117.94/118.02     (P1(f7(a11))+P2(f4(f7(a11)),a11)),
% 117.94/118.02     inference(scs_inference,[],[31,1128,48])).
% 117.94/118.02  cnf(1987,plain,
% 117.94/118.02     (P2(f4(f7(a11)),a11)),
% 117.94/118.02     inference(scs_inference,[],[34,1986,42])).
% 117.94/118.02  cnf(2095,plain,
% 117.94/118.02     (P5(x20951,a11)+~E(f4(f7(a11)),f5(x20951,a11))),
% 117.94/118.02     inference(scs_inference,[],[1987,34,48,50,14,56])).
% 117.94/118.02  cnf(2099,plain,
% 117.94/118.02     (~E(f5(x20991,a11),f4(f7(a11)))+P5(x20991,a11)),
% 117.94/118.02     inference(scs_inference,[],[2095,2])).
% 117.94/118.02  cnf(2100,plain,
% 117.94/118.02     (~E(x21001,f4(f7(a11)))+~E(f5(x21002,a11),x21001)+P5(x21002,a11)),
% 117.94/118.02     inference(scs_inference,[],[2099,3])).
% 117.94/118.02  cnf(2292,plain,
% 117.94/118.02     (P4(f5(f14(f13(a12,a3)),a12),a12)),
% 117.94/118.02     inference(scs_inference,[],[36,28,52,58])).
% 117.94/118.02  cnf(2335,plain,
% 117.94/118.02     (~E(f9(x23351),x23352)+~P2(f10(x23351),f10(a1))),
% 117.94/118.02     inference(scs_inference,[],[22,220,54])).
% 117.94/118.02  cnf(2336,plain,
% 117.94/118.02     (~P2(f10(x23361),f10(a1))),
% 117.94/118.02     inference(equality_inference,[],[2335])).
% 117.94/118.02  cnf(2337,plain,
% 117.94/118.02     (~P4(f10(x23371),f7(f10(a1)))),
% 117.94/118.02     inference(scs_inference,[],[2336,609])).
% 117.94/118.02  cnf(2339,plain,
% 117.94/118.02     (~P4(f10(x23391),f10(a1))),
% 117.94/118.02     inference(scs_inference,[],[2336,609,46])).
% 117.94/118.02  cnf(2397,plain,
% 117.94/118.02     (P4(a1,a11)+~E(a11,f10(a1))),
% 117.94/118.02     inference(scs_inference,[],[238,1828])).
% 117.94/118.02  cnf(2409,plain,
% 117.94/118.02     (P2(a1,x24091)+~E(a11,f10(a1))+~P2(a11,f10(x24091))),
% 117.94/118.02     inference(scs_inference,[],[2397,55])).
% 117.94/118.02  cnf(2410,plain,
% 117.94/118.02     (~E(a11,f10(a1))+P2(a1,a11)),
% 117.94/118.02     inference(scs_inference,[],[30,2409,49])).
% 117.94/118.02  cnf(2426,plain,
% 117.94/118.02     (~E(x24261,f10(a1))+~E(a11,x24261)+P2(a1,a11)),
% 117.94/118.02     inference(scs_inference,[],[2410,3])).
% 117.94/118.02  cnf(2475,plain,
% 117.94/118.02     (P3(a6)),
% 117.94/118.02     inference(scs_inference,[],[24,38])).
% 117.94/118.02  cnf(2479,plain,
% 117.94/118.02     (~P1(f7(f7(a8)))),
% 117.94/118.02     inference(scs_inference,[],[434,23,24,38,41,42])).
% 117.94/118.02  cnf(2481,plain,
% 117.94/118.02     (P3(f13(x24811,a2))),
% 117.94/118.02     inference(scs_inference,[],[26,434,23,24,38,41,42,47])).
% 117.94/118.02  cnf(2483,plain,
% 117.94/118.02     (P2(f5(f7(a8),a2),a8)),
% 117.94/118.02     inference(scs_inference,[],[26,826,434,23,24,38,41,42,47,302])).
% 117.94/118.02  cnf(2485,plain,
% 117.94/118.02     (P2(f4(f10(a2)),f10(x24851))),
% 117.94/118.02     inference(scs_inference,[],[26,826,434,249,23,24,38,41,42,47,302,49])).
% 117.94/118.02  cnf(2489,plain,
% 117.94/118.02     (E(f14(a2),f14(a1))),
% 117.94/118.02     inference(scs_inference,[],[26,826,434,249,23,24,38,41,42,47,302,49,37,6])).
% 117.94/118.02  cnf(2490,plain,
% 117.94/118.02     (~E(f10(a2),f10(a8))),
% 117.94/118.02     inference(scs_inference,[],[26,1639,826,434,249,23,24,38,41,42,47,302,49,37,6,2])).
% 117.94/118.02  cnf(2491,plain,
% 117.94/118.02     (P1(f14(a2))),
% 117.94/118.02     inference(scs_inference,[],[26,1639,826,434,249,23,24,38,41,42,47,302,49,37,6,2,40])).
% 117.94/118.02  cnf(2493,plain,
% 117.94/118.02     (P4(f5(a8,a6),a8)),
% 117.94/118.02     inference(scs_inference,[],[791,26,1639,826,434,249,23,24,38,41,42,47,302,49,37,6,2,40,52])).
% 117.94/118.02  cnf(2499,plain,
% 117.94/118.02     (~E(f14(a2),f14(f13(a12,a3)))),
% 117.94/118.02     inference(scs_inference,[],[36,791,26,1639,126,826,434,249,23,24,38,41,42,47,302,49,37,6,2,40,52,51,50,13])).
% 117.94/118.02  cnf(2500,plain,
% 117.94/118.02     (P3(f14(a1))),
% 117.94/118.02     inference(scs_inference,[],[36,791,26,1639,126,826,434,249,23,24,38,41,42,47,302,49,37,6,2,40,52,51,50,13,16])).
% 117.94/118.02  cnf(2502,plain,
% 117.94/118.02     (~P2(f10(x25021),f10(a2))),
% 117.94/118.02     inference(scs_inference,[],[36,791,26,1639,1596,126,826,434,249,23,24,38,41,42,47,302,49,37,6,2,40,52,51,50,13,16,3,54])).
% 117.94/118.02  cnf(2506,plain,
% 117.94/118.02     (E(f9(a2),f9(a1))),
% 117.94/118.02     inference(scs_inference,[],[36,791,26,657,1639,1596,126,826,434,249,23,24,38,41,42,47,302,49,37,6,2,40,52,51,50,13,16,3,54,48,4])).
% 117.94/118.02  cnf(2508,plain,
% 117.94/118.02     (E(f7(a2),f7(a1))),
% 117.94/118.02     inference(scs_inference,[],[36,791,26,657,1639,1596,126,826,434,249,23,24,38,41,42,47,302,49,37,6,2,40,52,51,50,13,16,3,54,48,4,5,12])).
% 117.94/118.02  cnf(2509,plain,
% 117.94/118.02     (E(f5(a2,x25091),f5(a1,x25091))),
% 117.94/118.02     inference(scs_inference,[],[36,791,26,657,1639,1596,126,826,434,249,23,24,38,41,42,47,302,49,37,6,2,40,52,51,50,13,16,3,54,48,4,5,12,8])).
% 117.94/118.02  cnf(2510,plain,
% 117.94/118.02     (E(f5(x25101,a2),f5(x25101,a1))),
% 117.94/118.02     inference(scs_inference,[],[36,791,26,657,1639,1596,126,826,434,249,23,24,38,41,42,47,302,49,37,6,2,40,52,51,50,13,16,3,54,48,4,5,12,8,9])).
% 117.94/118.02  cnf(2511,plain,
% 117.94/118.02     (E(f13(a2,x25111),f13(a1,x25111))),
% 117.94/118.02     inference(scs_inference,[],[36,791,26,657,1639,1596,126,826,434,249,23,24,38,41,42,47,302,49,37,6,2,40,52,51,50,13,16,3,54,48,4,5,12,8,9,10])).
% 117.94/118.02  cnf(2512,plain,
% 117.94/118.02     (E(f13(x25121,a2),f13(x25121,a1))),
% 117.94/118.02     inference(scs_inference,[],[36,791,26,657,1639,1596,126,826,434,249,23,24,38,41,42,47,302,49,37,6,2,40,52,51,50,13,16,3,54,48,4,5,12,8,9,10,11])).
% 117.94/118.02  cnf(2513,plain,
% 117.94/118.02     (E(f10(a2),f10(a1))),
% 117.94/118.02     inference(scs_inference,[],[36,791,26,657,1639,1596,126,826,434,249,23,24,38,41,42,47,302,49,37,6,2,40,52,51,50,13,16,3,54,48,4,5,12,8,9,10,11,7])).
% 117.94/118.02  cnf(2533,plain,
% 117.94/118.02     (P2(x25331,f10(x25331))),
% 117.94/118.02     inference(scs_inference,[],[814,30,302,49])).
% 117.94/118.02  cnf(2535,plain,
% 117.94/118.02     (P3(f14(a6))),
% 117.94/118.02     inference(scs_inference,[],[814,30,24,302,49,41])).
% 117.94/118.02  cnf(2537,plain,
% 117.94/118.02     (P3(f9(x25371))),
% 117.94/118.02     inference(scs_inference,[],[814,29,30,24,302,49,41,38])).
% 117.94/118.02  cnf(2539,plain,
% 117.94/118.02     (~P1(f7(a11))),
% 117.94/118.02     inference(scs_inference,[],[34,814,29,30,24,302,49,41,38,42])).
% 117.94/118.02  cnf(2543,plain,
% 117.94/118.02     (E(f14(a2),a1)),
% 117.94/118.02     inference(scs_inference,[],[262,2491,34,814,29,30,24,302,49,41,38,42,47,37])).
% 117.94/118.02  cnf(2549,plain,
% 117.94/118.02     (E(f5(f14(a2),x25491),f5(a1,x25491))),
% 117.94/118.02     inference(scs_inference,[],[262,2491,34,814,29,30,24,302,49,41,38,42,47,37,5,10,12,11,8])).
% 117.94/118.02  cnf(2550,plain,
% 117.94/118.02     (E(f10(f14(a2)),f10(a1))),
% 117.94/118.02     inference(scs_inference,[],[262,2491,34,814,29,30,24,302,49,41,38,42,47,37,5,10,12,11,8,7])).
% 117.94/118.02  cnf(2551,plain,
% 117.94/118.02     (E(f5(x25511,f14(a2)),f5(x25511,a1))),
% 117.94/118.02     inference(scs_inference,[],[262,2491,34,814,29,30,24,302,49,41,38,42,47,37,5,10,12,11,8,7,9])).
% 117.94/118.02  cnf(2555,plain,
% 117.94/118.02     (P1(f14(f14(a2)))),
% 117.94/118.02     inference(scs_inference,[],[262,2491,2499,34,814,29,30,24,302,49,41,38,42,47,37,5,10,12,11,8,7,9,4,6,2,40])).
% 117.94/118.02  cnf(2557,plain,
% 117.94/118.02     (P4(f5(f13(a12,a3),f9(x25571)),f13(a12,a3))),
% 117.94/118.02     inference(scs_inference,[],[262,2491,2499,736,34,814,29,30,24,302,49,41,38,42,47,37,5,10,12,11,8,7,9,4,6,2,40,52])).
% 117.94/118.02  cnf(2563,plain,
% 117.94/118.02     (~E(f14(a2),f7(f7(a8)))),
% 117.94/118.02     inference(scs_inference,[],[262,2491,2479,2499,736,34,814,29,30,24,302,49,41,38,42,47,37,5,10,12,11,8,7,9,4,6,2,40,52,51,50,13])).
% 117.94/118.02  cnf(2564,plain,
% 117.94/118.02     (E(f5(a2,a2),f5(a1,a1))),
% 117.94/118.02     inference(scs_inference,[],[2509,2510,262,2491,2479,2499,736,34,814,29,30,24,302,49,41,38,42,47,37,5,10,12,11,8,7,9,4,6,2,40,52,51,50,13,3])).
% 117.94/118.02  cnf(2569,plain,
% 117.94/118.02     (~P2(f10(a11),f7(a11))),
% 117.94/118.02     inference(scs_inference,[],[1191,2509,2510,262,2491,2493,2479,2499,736,34,814,29,30,24,302,49,41,38,42,47,37,5,10,12,11,8,7,9,4,6,2,40,52,51,50,13,3,54,48])).
% 117.94/118.02  cnf(2571,plain,
% 117.94/118.02     (~E(f4(f7(a11)),f10(a11))),
% 117.94/118.02     inference(scs_inference,[],[1191,2509,2510,262,2491,2493,2479,2499,736,34,814,29,30,24,31,302,49,41,38,42,47,37,5,10,12,11,8,7,9,4,6,2,40,52,51,50,13,3,54,48,19])).
% 117.94/118.02  cnf(2573,plain,
% 117.94/118.02     (~E(f10(f10(x25731)),f10(a2))),
% 117.94/118.02     inference(scs_inference,[],[1191,2509,2510,262,2502,2491,2493,2479,2499,736,34,814,29,30,24,31,302,49,41,38,42,47,37,5,10,12,11,8,7,9,4,6,2,40,52,51,50,13,3,54,48,19,20])).
% 117.94/118.02  cnf(2574,plain,
% 117.94/118.02     (~P5(a8,f14(a2))),
% 117.94/118.02     inference(scs_inference,[],[1191,2509,2510,262,2502,2491,2493,2479,2499,736,1223,34,814,29,30,24,31,302,49,41,38,42,47,37,5,10,12,11,8,7,9,4,6,2,40,52,51,50,13,3,54,48,19,20,18])).
% 117.94/118.02  cnf(2595,plain,
% 117.94/118.02     (~P1(f7(f7(a11)))),
% 117.94/118.02     inference(scs_inference,[],[2539,42])).
% 117.94/118.02  cnf(2599,plain,
% 117.94/118.02     (E(f14(f14(a2)),a1)),
% 117.94/118.02     inference(scs_inference,[],[2537,2539,2555,42,47,37])).
% 117.94/118.02  cnf(2601,plain,
% 117.94/118.02     (P1(f14(a6))),
% 117.94/118.02     inference(scs_inference,[],[2537,2539,2555,24,42,47,37,40])).
% 117.94/118.02  cnf(2604,plain,
% 117.94/118.02     (P4(f5(a8,f14(a2)),a8)),
% 117.94/118.02     inference(scs_inference,[],[2537,2539,2574,2571,2555,24,42,47,37,40,2,52])).
% 117.94/118.02  cnf(2606,plain,
% 117.94/118.02     (~P2(a11,f10(f9(x26061)))),
% 117.94/118.02     inference(scs_inference,[],[2537,2539,2574,2571,2555,775,24,42,47,37,40,2,52,51])).
% 117.94/118.02  cnf(2610,plain,
% 117.94/118.02     (~E(f14(f14(a2)),f7(a11))),
% 117.94/118.02     inference(scs_inference,[],[2537,2539,2574,2571,2555,775,24,42,47,37,40,2,52,51,50,13])).
% 117.94/118.02  cnf(2612,plain,
% 117.94/118.02     (~P2(f13(a12,a3),f10(f14(a2)))),
% 117.94/118.02     inference(scs_inference,[],[2537,2489,2539,2574,2557,2571,2555,2563,775,2491,24,42,47,37,40,2,52,51,50,13,3,54])).
% 117.94/118.02  cnf(2618,plain,
% 117.94/118.02     (P2(x26181,f10(x26181))),
% 117.94/118.02     inference(rename_variables,[],[2533])).
% 117.94/118.02  cnf(2620,plain,
% 117.94/118.02     (P2(f14(a1),f10(f14(a2)))),
% 117.94/118.02     inference(scs_inference,[],[2533,2618,2537,2489,2539,2574,2557,2571,2555,2563,2337,775,2491,24,536,42,47,37,40,2,52,51,50,13,3,54,48,55,19])).
% 117.94/118.02  cnf(2622,plain,
% 117.94/118.02     (P2(f4(f14(a2)),f14(a1))),
% 117.94/118.02     inference(scs_inference,[],[2533,2618,2537,2489,2539,2574,2557,2571,2555,2563,2337,775,2491,24,536,31,42,47,37,40,2,52,51,50,13,3,54,48,55,19,20])).
% 117.94/118.02  cnf(2624,plain,
% 117.94/118.02     (~E(a8,f14(a2))),
% 117.94/118.02     inference(scs_inference,[],[2533,2618,2537,2489,2539,2574,2557,2571,2555,2563,2337,775,2491,30,24,536,31,42,47,37,40,2,52,51,50,13,3,54,48,55,19,20,18])).
% 117.94/118.02  cnf(2625,plain,
% 117.94/118.02     (P5(x26251,x26251)),
% 117.94/118.02     inference(rename_variables,[],[30])).
% 117.94/118.02  cnf(2626,plain,
% 117.94/118.02     (~P4(x26261,f14(a2))),
% 117.94/118.02     inference(scs_inference,[],[2533,2618,2537,2489,2539,2543,2574,2557,2571,2555,2563,2337,775,2491,30,24,63,536,31,42,47,37,40,2,52,51,50,13,3,54,48,55,19,20,18,15])).
% 117.94/118.02  cnf(2630,plain,
% 117.94/118.02     (~P4(x26301,f14(f13(x26302,a2)))),
% 117.94/118.02     inference(scs_inference,[],[2533,2618,2537,2489,2539,2543,2574,2557,2571,2549,2555,2563,2337,775,26,2491,30,24,63,536,31,42,47,37,40,2,52,51,50,13,3,54,48,55,19,20,18,15,327,59])).
% 117.94/118.02  cnf(2632,plain,
% 117.94/118.02     (P5(f14(a1),f14(a2))),
% 117.94/118.02     inference(scs_inference,[],[2533,2618,2537,2489,2539,2543,2574,2557,2571,2549,2555,2563,2337,775,26,2491,30,2625,24,63,536,31,42,47,37,40,2,52,51,50,13,3,54,48,55,19,20,18,15,327,59,17])).
% 117.94/118.02  cnf(2638,plain,
% 117.94/118.02     (E(f14(a6),a1)),
% 117.94/118.02     inference(scs_inference,[],[2481,2601,47,37])).
% 117.94/118.02  cnf(2642,plain,
% 117.94/118.02     (E(f7(f14(a6)),f7(a1))),
% 117.94/118.02     inference(scs_inference,[],[2481,2601,47,37,10,7,12])).
% 117.94/118.02  cnf(2644,plain,
% 117.94/118.02     (E(f5(x26441,f14(a6)),f5(x26441,a1))),
% 117.94/118.02     inference(scs_inference,[],[2481,2601,47,37,10,7,12,5,9])).
% 117.94/118.02  cnf(2649,plain,
% 117.94/118.02     (P1(f14(f14(a6)))),
% 117.94/118.02     inference(scs_inference,[],[2481,2601,47,37,10,7,12,5,9,11,8,4,6,40])).
% 117.94/118.02  cnf(2652,plain,
% 117.94/118.02     (P4(f5(a8,a2),a8)),
% 117.94/118.02     inference(scs_inference,[],[2481,2601,2624,767,47,37,10,7,12,5,9,11,8,4,6,40,2,52])).
% 117.94/118.02  cnf(2659,plain,
% 117.94/118.02     (E(f13(a2,a2),f13(a1,a1))),
% 117.94/118.02     inference(scs_inference,[],[2511,2512,2481,2601,2624,2595,767,47,37,10,7,12,5,9,11,8,4,6,40,2,52,51,50,13,3])).
% 117.94/118.02  cnf(2664,plain,
% 117.94/118.02     (P1(f14(f13(x26641,a2)))),
% 117.94/118.03     inference(scs_inference,[],[2511,2512,2481,2601,2624,2630,2595,2604,767,31,47,37,10,7,12,5,9,11,8,4,6,40,2,52,51,50,13,3,54,48])).
% 117.94/118.03  cnf(2665,plain,
% 117.94/118.03     (~P4(x26651,f14(f13(x26652,a2)))),
% 117.94/118.03     inference(rename_variables,[],[2630])).
% 117.94/118.03  cnf(2668,plain,
% 117.94/118.03     (~P4(x26681,f14(a1))),
% 117.94/118.03     inference(scs_inference,[],[2511,2512,2481,2626,2601,2632,2624,2630,2595,2604,767,31,47,37,10,7,12,5,9,11,8,4,6,40,2,52,51,50,13,3,54,48,53])).
% 117.94/118.03  cnf(2672,plain,
% 117.94/118.03     (~P5(f13(a12,a3),f14(f14(a2)))),
% 117.94/118.03     inference(scs_inference,[],[2511,2512,2481,2626,2601,2632,2624,2630,2595,2606,2604,2599,767,1219,2533,31,47,37,10,7,12,5,9,11,8,4,6,40,2,52,51,50,13,3,54,48,53,20,18])).
% 117.94/118.03  cnf(2675,plain,
% 117.94/118.03     (~E(f14(a1),a8)),
% 117.94/118.03     inference(scs_inference,[],[2511,2512,2481,2626,2601,2632,2624,2630,2665,2595,2606,2604,2599,767,1219,2533,2574,31,47,37,10,7,12,5,9,11,8,4,6,40,2,52,51,50,13,3,54,48,53,20,18,15,17])).
% 117.94/118.03  cnf(2680,plain,
% 117.94/118.03     (~P4(x26801,f14(f13(x26802,a1)))),
% 117.94/118.03     inference(scs_inference,[],[2511,2512,2481,2626,2601,2632,2624,2630,2665,2595,2606,2604,2599,2550,767,1219,2533,25,2574,31,47,37,10,7,12,5,9,11,8,4,6,40,2,52,51,50,13,3,54,48,53,20,18,15,17,46,2426,59])).
% 117.94/118.03  cnf(2682,plain,
% 117.94/118.03     (P1(f13(x26821,a2))),
% 117.94/118.03     inference(scs_inference,[],[2511,2512,2481,2626,2601,2632,2624,2630,2665,2595,2606,2604,2599,2550,767,1219,2533,25,2574,31,47,37,10,7,12,5,9,11,8,4,6,40,2,52,51,50,13,3,54,48,53,20,18,15,17,46,2426,59,43])).
% 117.94/118.03  cnf(2691,plain,
% 117.94/118.03     (E(f13(x26911,a2),a1)),
% 117.94/118.03     inference(scs_inference,[],[2682,2500,47,37])).
% 117.94/118.03  cnf(2693,plain,
% 117.94/118.03     (E(f13(f13(x26931,a2),x26932),f13(a1,x26932))),
% 117.94/118.03     inference(scs_inference,[],[2682,2500,47,37,10])).
% 117.94/118.03  cnf(2697,plain,
% 117.94/118.03     (E(f5(f13(x26971,a2),x26972),f5(a1,x26972))),
% 117.94/118.03     inference(scs_inference,[],[2682,2500,47,37,10,12,5,7,8])).
% 117.94/118.03  cnf(2698,plain,
% 117.94/118.03     (E(f5(x26981,f13(x26982,a2)),f5(x26981,a1))),
% 117.94/118.03     inference(scs_inference,[],[2682,2500,47,37,10,12,5,7,8,9])).
% 117.94/118.03  cnf(2699,plain,
% 117.94/118.03     (E(f13(x26991,f13(x26992,a2)),f13(x26991,a1))),
% 117.94/118.03     inference(scs_inference,[],[2682,2500,47,37,10,12,5,7,8,9,11])).
% 117.94/118.03  cnf(2701,plain,
% 117.94/118.03     (E(f14(f13(x27011,a2)),f14(a1))),
% 117.94/118.03     inference(scs_inference,[],[2682,2500,47,37,10,12,5,7,8,9,11,4,6])).
% 117.94/118.03  cnf(2702,plain,
% 117.94/118.03     (P1(f14(a1))),
% 117.94/118.03     inference(scs_inference,[],[2682,2500,22,47,37,10,12,5,7,8,9,11,4,6,40])).
% 117.94/118.03  cnf(2704,plain,
% 117.94/118.03     (~E(a8,f14(a1))),
% 117.94/118.03     inference(scs_inference,[],[2682,2500,2675,22,47,37,10,12,5,7,8,9,11,4,6,40,2])).
% 117.94/118.03  cnf(2705,plain,
% 117.94/118.03     (P4(f5(f13(a12,a3),a6),f13(a12,a3))),
% 117.94/118.03     inference(scs_inference,[],[2682,2500,2675,752,22,47,37,10,12,5,7,8,9,11,4,6,40,2,52])).
% 117.94/118.03  cnf(2707,plain,
% 117.94/118.03     (~P2(f13(a12,a3),f10(a6))),
% 117.94/118.03     inference(scs_inference,[],[2682,2500,2675,752,22,47,37,10,12,5,7,8,9,11,4,6,40,2,52,51])).
% 117.94/118.03  cnf(2711,plain,
% 117.94/118.03     (~E(f13(x27111,a2),f7(f7(a8)))),
% 117.94/118.03     inference(scs_inference,[],[2682,2500,2675,752,2479,22,47,37,10,12,5,7,8,9,11,4,6,40,2,52,51,50,13])).
% 117.94/118.03  cnf(2716,plain,
% 117.94/118.03     (P1(f14(f13(x27161,a1)))),
% 117.94/118.03     inference(scs_inference,[],[2682,2500,2659,2652,2675,2680,752,2479,22,31,47,37,10,12,5,7,8,9,11,4,6,40,2,52,51,50,13,3,54,48])).
% 117.94/118.03  cnf(2718,plain,
% 117.94/118.03     (P2(f4(x27181),x27181)),
% 117.94/118.03     inference(rename_variables,[],[31])).
% 117.94/118.03  cnf(2723,plain,
% 117.94/118.03     (P5(x27231,x27231)),
% 117.94/118.03     inference(rename_variables,[],[30])).
% 117.94/118.03  cnf(2724,plain,
% 117.94/118.03     (~P4(x27241,f14(a6))),
% 117.94/118.03     inference(scs_inference,[],[2508,2682,2500,2659,2652,2638,2675,2680,2672,752,2479,30,63,22,31,2718,47,37,10,12,5,7,8,9,11,4,6,40,2,52,51,50,13,3,54,48,20,18,15])).
% 117.94/118.03  cnf(2727,plain,
% 117.94/118.03     (P2(f7(a1),f10(f7(a2)))),
% 117.94/118.03     inference(scs_inference,[],[2508,2682,2500,2659,2652,2638,2675,2680,2672,752,2479,30,2723,63,22,31,2718,47,37,10,12,5,7,8,9,11,4,6,40,2,52,51,50,13,3,54,48,20,18,15,17,49])).
% 117.94/118.03  cnf(2734,plain,
% 117.94/118.03     (~P4(x27341,f14(f13(x27342,a6)))),
% 117.94/118.03     inference(scs_inference,[],[2508,2682,2500,2659,2652,2638,2675,2642,2680,2672,752,2479,2475,30,2723,63,22,31,2718,47,37,10,12,5,7,8,9,11,4,6,40,2,52,51,50,13,3,54,48,20,18,15,17,49,41,46,1730,59])).
% 117.94/118.03  cnf(2768,plain,
% 117.94/118.03     (E(f14(a1),a1)),
% 117.94/118.03     inference(scs_inference,[],[2535,2702,2716,38,47,37])).
% 117.94/118.03  cnf(2771,plain,
% 117.94/118.03     (E(f13(f14(a1),x27711),f13(a1,x27711))),
% 117.94/118.03     inference(scs_inference,[],[2535,2702,2716,38,47,37,5,10])).
% 117.94/118.03  cnf(2774,plain,
% 117.94/118.03     (E(f5(f14(a1),x27741),f5(a1,x27741))),
% 117.94/118.03     inference(scs_inference,[],[2535,2702,2716,38,47,37,5,10,7,12,8])).
% 117.94/118.03  cnf(2775,plain,
% 117.94/118.03     (E(f13(x27751,f14(a1)),f13(x27751,a1))),
% 117.94/118.03     inference(scs_inference,[],[2535,2702,2716,38,47,37,5,10,7,12,8,11])).
% 117.94/118.03  cnf(2776,plain,
% 117.94/118.03     (E(f5(x27761,f14(a1)),f5(x27761,a1))),
% 117.94/118.03     inference(scs_inference,[],[2535,2702,2716,38,47,37,5,10,7,12,8,11,9])).
% 117.94/118.03  cnf(2778,plain,
% 117.94/118.03     (E(f14(f14(a1)),f14(a1))),
% 117.94/118.03     inference(scs_inference,[],[2535,2702,2716,38,47,37,5,10,7,12,8,11,9,4,6])).
% 117.94/118.03  cnf(2779,plain,
% 117.94/118.03     (P1(f14(f14(a1)))),
% 117.94/118.03     inference(scs_inference,[],[2535,2702,2716,38,47,37,5,10,7,12,8,11,9,4,6,40])).
% 117.94/118.03  cnf(2784,plain,
% 117.94/118.03     (~P2(f14(a8),f10(a6))),
% 117.94/118.03     inference(scs_inference,[],[2535,2702,2573,2716,810,38,47,37,5,10,7,12,8,11,9,4,6,40,2,52,51])).
% 117.94/118.03  cnf(2790,plain,
% 117.94/118.03     (E(f13(x27901,a2),a1)),
% 117.94/118.03     inference(rename_variables,[],[2691])).
% 117.94/118.03  cnf(2793,plain,
% 117.94/118.03     (P4(f4(f10(a2)),f10(x27931))),
% 117.94/118.03     inference(scs_inference,[],[2535,2702,2691,2705,2485,2573,2716,2711,810,2595,35,38,47,37,5,10,7,12,8,11,9,4,6,40,2,52,51,50,13,3,54,48])).
% 117.94/118.03  cnf(2796,plain,
% 117.94/118.03     (~E(f10(f13(a12,a3)),f10(a6))),
% 117.94/118.03     inference(scs_inference,[],[2707,2535,2702,2691,2705,2485,2573,2716,2711,810,2595,2533,35,38,47,37,5,10,7,12,8,11,9,4,6,40,2,52,51,50,13,3,54,48,20])).
% 117.94/118.03  cnf(2798,plain,
% 117.94/118.03     (~P5(f14(a8),f13(x27981,a2))),
% 117.94/118.03     inference(scs_inference,[],[2707,2535,2702,2691,2790,2705,2485,2573,2716,2711,810,1231,2595,2533,35,38,47,37,5,10,7,12,8,11,9,4,6,40,2,52,51,50,13,3,54,48,20,18])).
% 117.94/118.03  cnf(2799,plain,
% 117.94/118.03     (~E(f13(a12,a3),f14(a6))),
% 117.94/118.03     inference(scs_inference,[],[2724,2707,2535,2702,2691,2790,2705,2485,2573,2716,2711,810,1231,2595,2533,35,38,47,37,5,10,7,12,8,11,9,4,6,40,2,52,51,50,13,3,54,48,20,18,15])).
% 117.94/118.03  cnf(2803,plain,
% 117.94/118.03     (~P4(f5(f14(a8),f13(x28031,a2)),f13(x28031,a2))),
% 117.94/118.03     inference(scs_inference,[],[2724,2707,2535,2702,2691,2790,2705,2485,2573,2716,2711,810,1231,2595,2533,35,38,47,37,5,10,7,12,8,11,9,4,6,40,2,52,51,50,13,3,54,48,20,18,15,46,56])).
% 117.94/118.03  cnf(2808,plain,
% 117.94/118.03     (P3(f13(x28081,a1))),
% 117.94/118.03     inference(scs_inference,[],[25,47])).
% 117.94/118.03  cnf(2813,plain,
% 117.94/118.03     (P4(f5(f14(a8),f13(x28131,a2)),f14(a8))),
% 117.94/118.03     inference(scs_inference,[],[2799,2798,2779,25,47,37,2,52])).
% 117.94/118.03  cnf(2819,plain,
% 117.94/118.03     (~E(f14(f14(a1)),f13(a12,a3))),
% 117.94/118.03     inference(scs_inference,[],[2799,2798,2779,129,25,47,37,2,52,51,50,13])).
% 117.94/118.03  cnf(2822,plain,
% 117.94/118.03     (E(f5(x28221,f14(a1)),f5(x28221,a1))),
% 117.94/118.03     inference(rename_variables,[],[2776])).
% 117.94/118.03  cnf(2825,plain,
% 117.94/118.03     (P1(f14(f13(x28251,a6)))),
% 117.94/118.03     inference(scs_inference,[],[2799,2798,2793,2774,2776,2734,2779,129,2682,25,31,47,37,2,52,51,50,13,3,54,48])).
% 117.94/118.03  cnf(2829,plain,
% 117.94/118.03     (~E(f14(a1),f13(a12,a3))),
% 117.94/118.03     inference(scs_inference,[],[2799,2798,2793,2774,2776,2620,2734,2779,2612,129,2682,25,31,47,37,2,52,51,50,13,3,54,48,19])).
% 117.94/118.03  cnf(2831,plain,
% 117.94/118.03     (~P5(a8,f14(a1))),
% 117.94/118.03     inference(scs_inference,[],[2799,2798,2768,2793,2774,2776,2622,2620,2734,2779,2612,1223,129,2682,25,31,47,37,2,52,51,50,13,3,54,48,19,20,18])).
% 117.94/118.03  cnf(2834,plain,
% 117.94/118.03     (P2(f5(f14(a8),f13(x28341,a2)),f14(a8))),
% 117.94/118.03     inference(scs_inference,[],[2799,2798,2768,2793,2774,2776,2822,2622,2620,2734,2779,2612,1604,1223,129,2682,25,31,47,37,2,52,51,50,13,3,54,48,19,20,18,15,46])).
% 117.94/118.03  cnf(2844,plain,
% 117.94/118.03     (E(f14(f13(x28441,a6)),a1)),
% 117.94/118.03     inference(scs_inference,[],[2808,2825,38,47,37])).
% 117.94/118.03  cnf(2846,plain,
% 117.94/118.03     (~E(f13(a12,a3),f14(a1))),
% 117.94/118.03     inference(scs_inference,[],[2808,2829,2825,38,47,37,2])).
% 117.94/118.03  cnf(2854,plain,
% 117.94/118.03     (E(f13(f14(a1),f14(a1)),f13(a1,a1))),
% 117.94/118.03     inference(scs_inference,[],[2808,2829,2831,2771,2775,2825,126,2682,38,47,37,2,52,51,50,13,3])).
% 117.94/118.03  cnf(2861,plain,
% 117.94/118.03     (P2(f5(f14(a8),a1),f14(a8))),
% 117.94/118.03     inference(scs_inference,[],[2808,2829,2831,2771,2775,2813,2834,2483,2825,2698,126,2682,2702,33,38,47,37,2,52,51,50,13,3,54,48,19])).
% 117.94/118.03  cnf(2866,plain,
% 117.94/118.03     (~P4(x28661,f14(f14(a1)))),
% 117.94/118.03     inference(scs_inference,[],[2808,2829,2831,2778,2771,2775,2813,2834,2483,2825,2668,2698,2784,126,2533,2682,2702,33,38,47,37,2,52,51,50,13,3,54,48,19,20,18,15])).
% 117.94/118.03  cnf(2867,plain,
% 117.94/118.03     (P2(f5(a8,f14(a1)),a8)),
% 117.94/118.03     inference(scs_inference,[],[2808,2829,2831,2778,2771,2775,2813,2834,2483,2825,2668,2698,2784,126,2533,2682,2702,33,38,47,37,2,52,51,50,13,3,54,48,19,20,18,15,46])).
% 117.94/118.03  cnf(2875,plain,
% 117.94/118.03     (P3(f13(x28751,a8))),
% 117.94/118.03     inference(scs_inference,[],[27,47])).
% 117.94/118.03  cnf(2877,plain,
% 117.94/118.03     (E(f14(f13(x28771,a2)),a1)),
% 117.94/118.03     inference(scs_inference,[],[2664,27,47,37])).
% 117.94/118.03  cnf(2882,plain,
% 117.94/118.03     (~P2(f13(a12,a3),f10(a2))),
% 117.94/118.03     inference(scs_inference,[],[2819,2664,727,27,47,37,2,52,51])).
% 117.94/118.03  cnf(2886,plain,
% 117.94/118.03     (~E(f14(f13(x28861,a2)),f7(a11))),
% 117.94/118.03     inference(scs_inference,[],[2819,2664,727,2539,27,47,37,2,52,51,50,13])).
% 117.94/118.03  cnf(2887,plain,
% 117.94/118.03     (E(f5(f13(x28871,a2),f14(a2)),f5(a1,a1))),
% 117.94/118.03     inference(scs_inference,[],[2819,2697,2664,2551,727,2539,27,47,37,2,52,51,50,13,3])).
% 117.94/118.03  cnf(2906,plain,
% 117.94/118.03     (E(f14(f14(a6)),a1)),
% 117.94/118.03     inference(scs_inference,[],[2875,2649,47,37])).
% 117.94/118.03  cnf(2909,plain,
% 117.94/118.03     (P4(f5(f14(a8),a2),f14(a8))),
% 117.94/118.03     inference(scs_inference,[],[2875,2886,2649,806,47,37,2,52])).
% 117.94/118.03  cnf(2911,plain,
% 117.94/118.03     (~P2(f14(a8),f10(a2))),
% 117.94/118.03     inference(scs_inference,[],[2875,2886,2649,806,47,37,2,52,51])).
% 117.94/118.03  cnf(2916,plain,
% 117.94/118.03     (~E(a1,f7(a11))),
% 117.94/118.03     inference(scs_inference,[],[2875,2886,2877,2649,806,538,2601,47,37,2,52,51,50,13,3])).
% 117.94/118.03  cnf(2918,plain,
% 117.94/118.03     (P1(f13(x29181,a6))),
% 117.94/118.03     inference(scs_inference,[],[2875,2886,2877,2649,806,262,538,2825,2601,47,37,2,52,51,50,13,3,43])).
% 117.94/118.03  cnf(2921,plain,
% 117.94/118.03     (P4(f5(f14(a8),a1),f14(a8))),
% 117.94/118.03     inference(scs_inference,[],[2875,2861,2886,2877,2649,806,262,538,2825,2601,474,47,37,2,52,51,50,13,3,43,48])).
% 117.94/118.03  cnf(2925,plain,
% 117.94/118.03     (~P5(f13(a12,a3),f14(f13(x29251,a6)))),
% 117.94/118.03     inference(scs_inference,[],[2875,2882,2861,2886,2844,2877,2649,806,262,1219,538,2825,2533,2601,474,47,37,2,52,51,50,13,3,43,48,20,18])).
% 117.94/118.03  cnf(2934,plain,
% 117.94/118.03     (P3(f13(x29341,a3))),
% 117.94/118.03     inference(scs_inference,[],[28,47])).
% 117.94/118.03  cnf(2936,plain,
% 117.94/118.03     (E(f13(x29361,a6),a1)),
% 117.94/118.03     inference(scs_inference,[],[2918,28,47,37])).
% 117.94/118.03  cnf(2938,plain,
% 117.94/118.03     (E(f13(f13(x29381,a6),x29382),f13(a1,x29382))),
% 117.94/118.03     inference(scs_inference,[],[2918,28,47,37,10])).
% 117.94/118.03  cnf(2939,plain,
% 117.94/118.03     (E(f10(f13(x29391,a6)),f10(a1))),
% 117.94/118.03     inference(scs_inference,[],[2918,28,47,37,10,7])).
% 117.94/118.03  cnf(2942,plain,
% 117.94/118.03     (E(f13(x29421,f13(x29422,a6)),f13(x29421,a1))),
% 117.94/118.03     inference(scs_inference,[],[2918,28,47,37,10,7,5,12,11])).
% 117.94/118.03  cnf(2943,plain,
% 117.94/118.03     (E(f5(f13(x29431,a6),x29432),f5(a1,x29432))),
% 117.94/118.03     inference(scs_inference,[],[2918,28,47,37,10,7,5,12,11,8])).
% 117.94/118.03  cnf(2944,plain,
% 117.94/118.03     (E(f5(x29441,f13(x29442,a6)),f5(x29441,a1))),
% 117.94/118.03     inference(scs_inference,[],[2918,28,47,37,10,7,5,12,11,8,9])).
% 117.94/118.03  cnf(2946,plain,
% 117.94/118.03     (E(f14(f13(x29461,a6)),f14(a1))),
% 117.94/118.03     inference(scs_inference,[],[2918,28,47,37,10,7,5,12,11,8,9,4,6])).
% 117.94/118.03  cnf(2947,plain,
% 117.94/118.03     (~E(f7(a11),a1)),
% 117.94/118.03     inference(scs_inference,[],[2916,2918,28,47,37,10,7,5,12,11,8,9,4,6,2])).
% 117.94/118.03  cnf(2948,plain,
% 117.94/118.03     (~P4(f14(a8),f5(f14(a8),a1))),
% 117.94/118.03     inference(scs_inference,[],[2916,2918,2921,28,47,37,10,7,5,12,11,8,9,4,6,2,50])).
% 117.94/118.03  cnf(2950,plain,
% 117.94/118.03     (P4(f5(f10(x29501),a6),f10(x29501))),
% 117.94/118.03     inference(scs_inference,[],[2916,2918,2921,731,28,47,37,10,7,5,12,11,8,9,4,6,2,50,52])).
% 117.94/118.03  cnf(2952,plain,
% 117.94/118.03     (~P2(f10(x29521),f10(a6))),
% 117.94/118.03     inference(scs_inference,[],[2916,2918,2921,731,28,47,37,10,7,5,12,11,8,9,4,6,2,50,52,51])).
% 117.94/118.03  cnf(2954,plain,
% 117.94/118.03     (E(f13(f13(x29541,a2),f13(x29542,a2)),f13(a1,a1))),
% 117.94/118.03     inference(scs_inference,[],[2916,2918,2921,2693,2699,731,28,47,37,10,7,5,12,11,8,9,4,6,2,50,52,51,3])).
% 117.94/118.03  cnf(2957,plain,
% 117.94/118.03     (P2(f5(a8,a1),a8)),
% 117.94/118.03     inference(scs_inference,[],[2916,2918,2921,2867,2693,2699,731,2776,28,47,37,10,7,5,12,11,8,9,4,6,2,50,52,51,3,19])).
% 117.94/118.03  cnf(2959,plain,
% 117.94/118.03     (P2(f4(f9(a2)),f9(a1))),
% 117.94/118.03     inference(scs_inference,[],[2916,2918,2921,2867,2693,2699,2506,731,2776,28,31,47,37,10,7,5,12,11,8,9,4,6,2,50,52,51,3,19,20])).
% 117.94/118.03  cnf(2960,plain,
% 117.94/118.03     (P2(f4(x29601),x29601)),
% 117.94/118.03     inference(rename_variables,[],[31])).
% 117.94/118.03  cnf(2966,plain,
% 117.94/118.03     (P5(x29661,x29661)),
% 117.94/118.03     inference(rename_variables,[],[30])).
% 117.94/118.03  cnf(2969,plain,
% 117.94/118.03     (P1(f4(f10(a2)))),
% 117.94/118.03     inference(scs_inference,[],[2916,2918,2887,2909,2921,2867,2925,2906,2693,2699,2506,731,2776,2479,244,30,2966,63,28,31,2960,47,37,10,7,5,12,11,8,9,4,6,2,50,52,51,3,19,20,15,13,54,17,18,48])).
% 117.94/118.03  cnf(2973,plain,
% 117.94/118.03     (P2(f5(f10(x29731),a6),f10(x29731))),
% 117.94/118.03     inference(scs_inference,[],[2916,2918,2887,2909,2921,2867,2925,2906,2693,2699,2506,731,2776,2479,244,30,2966,63,28,31,2960,47,37,10,7,5,12,11,8,9,4,6,2,50,52,51,3,19,20,15,13,54,17,18,48,46])).
% 117.94/118.03  cnf(2987,plain,
% 117.94/118.03     (E(f14(f13(x29871,a1)),a1)),
% 117.94/118.03     inference(scs_inference,[],[2934,2969,2716,38,47,37])).
% 117.94/118.03  cnf(2990,plain,
% 117.94/118.03     (P4(f5(f10(x29901),a2),f10(x29901))),
% 117.94/118.03     inference(scs_inference,[],[2934,2610,2969,748,2716,38,47,37,2,52])).
% 117.94/118.03  cnf(2996,plain,
% 117.94/118.03     (~E(f7(a11),f13(x29961,a6))),
% 117.94/118.03     inference(scs_inference,[],[2947,2934,2936,2950,2610,2969,748,2716,791,38,47,37,2,52,50,51,3])).
% 117.94/118.03  cnf(2999,plain,
% 117.94/118.03     (~E(f10(f10(x29991)),f10(a6))),
% 117.94/118.03     inference(scs_inference,[],[2947,2934,2952,2936,2950,2973,2610,2969,2911,748,2716,791,2533,38,47,37,2,52,50,51,3,19,20])).
% 117.94/118.03  cnf(3006,plain,
% 117.94/118.03     (~P5(f14(a8),f13(x30061,a6))),
% 117.94/118.03     inference(scs_inference,[],[22,2947,2934,2952,2936,2950,2973,2610,2866,2969,2911,748,2716,791,1231,2595,2918,2533,38,47,37,2,52,50,51,3,19,20,15,13,54,18])).
% 117.94/118.03  cnf(3007,plain,
% 117.94/118.03     (P4(f5(a8,a1),a8)),
% 117.94/118.03     inference(scs_inference,[],[22,2947,2934,2952,2957,2936,2950,2973,2610,2866,2969,2911,748,2716,791,1231,2595,2918,2533,33,38,47,37,2,52,50,51,3,19,20,15,13,54,18,48])).
% 117.94/118.03  cnf(3009,plain,
% 117.94/118.03     (P2(f5(f10(x30091),a2),f10(x30091))),
% 117.94/118.03     inference(scs_inference,[],[22,2947,2934,2952,2957,2936,2950,2973,2610,2866,2969,2911,748,2716,791,1231,2595,2918,2533,33,38,47,37,2,52,50,51,3,19,20,15,13,54,18,48,46])).
% 117.94/118.03  cnf(3020,plain,
% 117.94/118.03     (E(f13(f9(x30201),x30202),f13(a1,x30202))),
% 117.94/118.03     inference(scs_inference,[],[29,37,10])).
% 117.94/118.03  cnf(3021,plain,
% 117.94/118.03     (E(f4(f9(x30211)),f4(a1))),
% 117.94/118.03     inference(scs_inference,[],[29,37,10,5])).
% 117.94/118.03  cnf(3022,plain,
% 117.94/118.03     (E(f10(f9(x30221)),f10(a1))),
% 117.94/118.03     inference(scs_inference,[],[29,37,10,5,7])).
% 117.94/118.03  cnf(3023,plain,
% 117.94/118.03     (E(f13(x30231,f9(x30232)),f13(x30231,a1))),
% 117.94/118.03     inference(scs_inference,[],[29,37,10,5,7,11])).
% 117.94/118.03  cnf(3027,plain,
% 117.94/118.03     (E(f5(x30271,f9(x30272)),f5(x30271,a1))),
% 117.94/118.03     inference(scs_inference,[],[29,37,10,5,7,11,12,8,4,9])).
% 117.94/118.03  cnf(3028,plain,
% 117.94/118.03     (E(f14(f9(x30281)),f14(a1))),
% 117.94/118.03     inference(scs_inference,[],[29,37,10,5,7,11,12,8,4,9,6])).
% 117.94/118.03  cnf(3029,plain,
% 117.94/118.03     (~E(f13(x30291,a6),f7(a11))),
% 117.94/118.03     inference(scs_inference,[],[2996,29,37,10,5,7,11,12,8,4,9,6,2])).
% 117.94/118.03  cnf(3030,plain,
% 117.94/118.03     (~P4(a8,f5(a8,a1))),
% 117.94/118.03     inference(scs_inference,[],[2996,3007,29,37,10,5,7,11,12,8,4,9,6,2,50])).
% 117.94/118.03  cnf(3032,plain,
% 117.94/118.03     (P4(f5(f14(a8),f13(x30321,a6)),f14(a8))),
% 117.94/118.03     inference(scs_inference,[],[2996,3006,3007,29,37,10,5,7,11,12,8,4,9,6,2,50,52])).
% 117.94/118.03  cnf(3036,plain,
% 117.94/118.03     (E(f13(f13(x30361,a6),f13(x30362,a6)),f13(a1,a1))),
% 117.94/118.03     inference(scs_inference,[],[2996,3006,3007,2938,2942,1227,29,37,10,5,7,11,12,8,4,9,6,2,50,52,51,3])).
% 117.94/118.03  cnf(3039,plain,
% 117.94/118.03     (P2(f5(a1,x30391),f10(f5(a2,x30391)))),
% 117.94/118.03     inference(scs_inference,[],[2996,3006,3007,2938,2942,2509,1227,2533,29,37,10,5,7,11,12,8,4,9,6,2,50,52,51,3,19])).
% 117.94/118.03  cnf(3042,plain,
% 117.94/118.03     (P2(f4(x30421),x30421)),
% 117.94/118.03     inference(rename_variables,[],[31])).
% 117.94/118.03  cnf(3046,plain,
% 117.94/118.03     (~P2(a8,f10(a1))),
% 117.94/118.03     inference(scs_inference,[],[22,2996,3006,3007,2938,2942,2944,2948,2509,1227,280,2533,29,31,37,10,5,7,11,12,8,4,9,6,2,50,52,51,3,19,20,15,13,54])).
% 117.94/118.03  cnf(3048,plain,
% 117.94/118.03     (~P5(f10(x30481),f14(f13(x30482,a1)))),
% 117.94/118.03     inference(scs_inference,[],[22,2996,3006,3007,2938,2942,2944,2948,2987,2509,1215,1227,280,2533,29,31,37,10,5,7,11,12,8,4,9,6,2,50,52,51,3,19,20,15,13,54,18])).
% 117.94/118.03  cnf(3049,plain,
% 117.94/118.03     (P1(f4(f10(a6)))),
% 117.94/118.03     inference(scs_inference,[],[22,2996,3006,3007,2938,2942,2944,2948,2987,2509,1215,1227,280,2533,29,116,31,3042,37,10,5,7,11,12,8,4,9,6,2,50,52,51,3,19,20,15,13,54,18,48])).
% 117.94/118.03  cnf(3068,plain,
% 117.94/118.03     (P4(f5(a11,f9(x30681)),a11)),
% 117.94/118.03     inference(scs_inference,[],[2999,3049,775,38,37,2,52])).
% 117.94/118.03  cnf(3070,plain,
% 117.94/118.03     (~P4(f10(x30701),f5(f10(x30701),a2))),
% 117.94/118.03     inference(scs_inference,[],[2999,3049,2990,775,38,37,2,52,50])).
% 117.94/118.03  cnf(3080,plain,
% 117.94/118.03     (~P2(a8,f10(f9(x30801)))),
% 117.94/118.03     inference(scs_inference,[],[3046,2490,3009,2999,3022,3049,2990,775,787,2513,2533,38,37,2,52,50,51,3,55,19,20])).
% 117.94/118.03  cnf(3083,plain,
% 117.94/118.03     (~E(f14(f14(a6)),f13(a12,a3))),
% 117.94/118.03     inference(scs_inference,[],[3046,2490,3030,3009,3027,2999,3022,3049,2990,2649,775,787,129,2513,2533,38,37,2,52,50,51,3,55,19,20,15,13])).
% 117.94/118.03  cnf(3084,plain,
% 117.94/118.03     (~P2(f14(a8),f10(a1))),
% 117.94/118.03     inference(scs_inference,[],[22,3046,2490,3030,3009,3027,2999,3022,3032,3049,2990,2649,775,787,129,2513,2533,38,37,2,52,50,51,3,55,19,20,15,13,54])).
% 117.94/118.03  cnf(3086,plain,
% 117.94/118.03     (~P5(a8,f14(f13(x30861,a6)))),
% 117.94/118.03     inference(scs_inference,[],[22,3046,2490,3030,3009,3027,2999,3022,2946,3032,3049,2990,2649,775,787,129,2831,2513,2533,38,37,2,52,50,51,3,55,19,20,15,13,54,18])).
% 117.94/118.03  cnf(3087,plain,
% 117.94/118.03     (P4(f7(a1),f10(f7(a2)))),
% 117.94/118.03     inference(scs_inference,[],[22,3046,2490,3030,3009,3027,2999,3022,2946,3032,2727,3049,2990,2649,775,787,129,2831,2513,2533,35,38,37,2,52,50,51,3,55,19,20,15,13,54,18,48])).
% 117.94/118.03  cnf(3094,plain,
% 117.94/118.03     (E(a6,a1)),
% 117.94/118.03     inference(scs_inference,[],[24,37])).
% 117.94/118.03  cnf(3096,plain,
% 117.94/118.03     (E(f13(a6,x30961),f13(a1,x30961))),
% 117.94/118.03     inference(scs_inference,[],[24,37,10])).
% 117.94/118.03  cnf(3098,plain,
% 117.94/118.03     (E(f10(a6),f10(a1))),
% 117.94/118.03     inference(scs_inference,[],[24,37,10,5,7])).
% 117.94/118.03  cnf(3099,plain,
% 117.94/118.03     (E(f7(a6),f7(a1))),
% 117.94/118.03     inference(scs_inference,[],[24,37,10,5,7,12])).
% 117.94/118.03  cnf(3100,plain,
% 117.94/118.04     (E(f13(x31001,a6),f13(x31001,a1))),
% 117.94/118.04     inference(scs_inference,[],[24,37,10,5,7,12,11])).
% 117.94/118.04  cnf(3102,plain,
% 117.94/118.04     (E(f9(a6),f9(a1))),
% 117.94/118.04     inference(scs_inference,[],[24,37,10,5,7,12,11,8,4])).
% 117.94/118.04  cnf(3103,plain,
% 117.94/118.04     (E(f5(x31031,a6),f5(x31031,a1))),
% 117.94/118.04     inference(scs_inference,[],[24,37,10,5,7,12,11,8,4,9])).
% 117.94/118.04  cnf(3104,plain,
% 117.94/118.04     (E(f14(a6),f14(a1))),
% 117.94/118.04     inference(scs_inference,[],[24,37,10,5,7,12,11,8,4,9,6])).
% 117.94/118.04  cnf(3106,plain,
% 117.94/118.04     (P4(f5(a8,f9(x31061)),a8)),
% 117.94/118.04     inference(scs_inference,[],[3083,756,24,37,10,5,7,12,11,8,4,9,6,2,52])).
% 117.94/118.04  cnf(3108,plain,
% 117.94/118.04     (~P4(f10(f7(a2)),f7(a1))),
% 117.94/118.04     inference(scs_inference,[],[3083,3087,756,24,37,10,5,7,12,11,8,4,9,6,2,52,50])).
% 117.94/118.04  cnf(3110,plain,
% 117.94/118.04     (~P2(f13(a12,a3),f10(a1))),
% 117.94/118.04     inference(scs_inference,[],[3083,3087,756,1219,24,37,10,5,7,12,11,8,4,9,6,2,52,50,51])).
% 117.94/118.04  cnf(3112,plain,
% 117.94/118.04     (E(f13(f9(x31121),f9(x31122)),f13(a1,a1))),
% 117.94/118.04     inference(scs_inference,[],[3020,3023,3083,3087,756,1219,24,37,10,5,7,12,11,8,4,9,6,2,52,50,51,3])).
% 117.94/118.04  cnf(3115,plain,
% 117.94/118.04     (P2(f14(a1),f10(x31151))),
% 117.94/118.04     inference(scs_inference,[],[3020,3023,3083,3028,3087,503,756,1219,24,37,10,5,7,12,11,8,4,9,6,2,52,50,51,3,19])).
% 117.94/118.04  cnf(3116,plain,
% 117.94/118.04     (E(f14(f9(x31161)),f14(a1))),
% 117.94/118.04     inference(rename_variables,[],[3028])).
% 117.94/118.04  cnf(3122,plain,
% 117.94/118.04     (~P2(f7(a8),f10(a1))),
% 117.94/118.04     inference(scs_inference,[],[22,3020,3023,3083,3028,3116,3087,2644,270,3030,503,756,1219,538,24,435,37,10,5,7,12,11,8,4,9,6,2,52,50,51,3,19,20,15,13,54])).
% 117.94/118.04  cnf(3133,plain,
% 117.94/118.04     (~P1(f5(f10(a8),f10(a1)))),
% 117.94/118.04     inference(scs_inference,[],[22,3020,3023,3083,3028,3116,3048,3087,2644,270,3030,2943,503,756,1219,538,368,24,30,435,37,10,5,7,12,11,8,4,9,6,2,52,50,51,3,19,20,15,13,54,18,46,2100,55,347])).
% 117.94/118.04  cnf(3140,plain,
% 117.94/118.04     (P4(f5(f10(x31401),a1),f10(x31401))),
% 117.94/118.04     inference(scs_inference,[],[2796,3068,1215,2,50,52])).
% 117.94/118.04  cnf(3142,plain,
% 117.94/118.04     (~P2(f7(a8),f10(a6))),
% 117.94/118.04     inference(scs_inference,[],[2796,3068,1215,830,2,50,52,51])).
% 117.94/118.04  cnf(3144,plain,
% 117.94/118.04     (~E(a8,f14(a6))),
% 117.94/118.04     inference(scs_inference,[],[3104,2704,2796,3068,1215,830,2,50,52,51,3])).
% 117.94/118.04  cnf(3145,plain,
% 117.94/118.04     (P2(f5(f10(x31451),a1),f10(x31451))),
% 117.94/118.04     inference(scs_inference,[],[3104,2704,2796,3068,1215,830,2533,2,50,52,51,3,55])).
% 117.94/118.04  cnf(3146,plain,
% 117.94/118.04     (P2(x31461,f10(x31461))),
% 117.94/118.04     inference(rename_variables,[],[2533])).
% 117.94/118.04  cnf(3148,plain,
% 117.94/118.04     (~E(f14(a1),f7(a8))),
% 117.94/118.04     inference(scs_inference,[],[3115,3104,3122,2704,2796,3068,1215,830,2533,2,50,52,51,3,55,19])).
% 117.94/118.04  cnf(3152,plain,
% 117.94/118.04     (~P4(f5(f14(a8),f13(a1,a2)),f13(a6,a2))),
% 117.94/118.04     inference(scs_inference,[],[3096,3115,3104,3122,2704,2803,2796,3068,3080,1215,830,2533,3146,2,50,52,51,3,55,19,20,15])).
% 117.94/118.04  cnf(3158,plain,
% 117.94/118.04     (~P5(a8,f14(a6))),
% 117.94/118.04     inference(scs_inference,[],[22,3096,3115,3104,3122,2704,2803,2796,3133,3106,3068,3080,1215,830,2831,2918,2533,3146,2,50,52,51,3,55,19,20,15,13,54,18])).
% 117.94/118.04  cnf(3161,plain,
% 117.94/118.04     (P1(f13(x31611,a1))),
% 117.94/118.04     inference(scs_inference,[],[22,3096,3115,3098,3104,3122,2704,2803,2796,3070,3133,3106,3068,3080,2808,2716,1215,830,2831,2918,2533,3146,2,50,52,51,3,55,19,20,15,13,54,18,14,43])).
% 117.94/118.04  cnf(3164,plain,
% 117.94/118.04     (E(f13(x31641,a1),a1)),
% 117.94/118.04     inference(scs_inference,[],[22,3096,3115,3098,3104,3122,2704,2803,2796,3070,3133,3106,3068,3080,2808,2716,1215,830,2831,2918,2533,3146,2,50,52,51,3,55,19,20,15,13,54,18,14,43,37])).
% 117.94/118.04  cnf(3166,plain,
% 117.94/118.04     (E(f13(f13(x31661,a1),x31662),f13(a1,x31662))),
% 117.94/118.04     inference(scs_inference,[],[22,3096,3115,3098,3104,3122,2704,2803,2796,3070,3133,3106,3068,3080,2808,2716,1215,830,2831,2918,2533,3146,2,50,52,51,3,55,19,20,15,13,54,18,14,43,37,10])).
% 117.94/118.04  cnf(3170,plain,
% 117.94/118.04     (E(f13(x31701,f13(x31702,a1)),f13(x31701,a1))),
% 117.94/118.04     inference(scs_inference,[],[22,3096,3115,3098,3104,3122,2704,2803,2796,3070,3133,3106,3068,3080,2808,2716,1215,830,2831,2918,2533,3146,2,50,52,51,3,55,19,20,15,13,54,18,14,43,37,10,5,12,7,11])).
% 117.94/118.04  cnf(3171,plain,
% 117.94/118.04     (E(f5(f13(x31711,a1),x31712),f5(a1,x31712))),
% 117.94/118.04     inference(scs_inference,[],[22,3096,3115,3098,3104,3122,2704,2803,2796,3070,3133,3106,3068,3080,2808,2716,1215,830,2831,2918,2533,3146,2,50,52,51,3,55,19,20,15,13,54,18,14,43,37,10,5,12,7,11,8])).
% 117.94/118.04  cnf(3173,plain,
% 117.94/118.04     (E(f5(x31731,f13(x31732,a1)),f5(x31731,a1))),
% 117.94/118.04     inference(scs_inference,[],[22,3096,3115,3098,3104,3122,2704,2803,2796,3070,3133,3106,3068,3080,2808,2716,1215,830,2831,2918,2533,3146,2,50,52,51,3,55,19,20,15,13,54,18,14,43,37,10,5,12,7,11,8,4,9])).
% 117.94/118.04  cnf(3174,plain,
% 117.94/118.04     (E(f14(f13(x31741,a1)),f14(a1))),
% 117.94/118.04     inference(scs_inference,[],[22,3096,3115,3098,3104,3122,2704,2803,2796,3070,3133,3106,3068,3080,2808,2716,1215,830,2831,2918,2533,3146,2,50,52,51,3,55,19,20,15,13,54,18,14,43,37,10,5,12,7,11,8,4,9,6])).
% 117.94/118.04  cnf(3180,plain,
% 117.94/118.04     (~E(f7(a8),f14(a1))),
% 117.94/118.04     inference(scs_inference,[],[3148,2])).
% 117.94/118.04  cnf(3181,plain,
% 117.94/118.04     (~P4(f10(x31811),f5(f10(x31811),a1))),
% 117.94/118.04     inference(scs_inference,[],[3148,3140,2,50])).
% 117.94/118.04  cnf(3185,plain,
% 117.94/118.04     (~P2(f7(a8),f10(a2))),
% 117.94/118.04     inference(scs_inference,[],[3148,3158,3140,826,2,50,52,51])).
% 117.94/118.04  cnf(3187,plain,
% 117.94/118.04     (~E(f13(x31871,a1),f7(a11))),
% 117.94/118.04     inference(scs_inference,[],[3100,3029,3148,3158,3140,826,2,50,52,51,3])).
% 117.94/118.04  cnf(3198,plain,
% 117.94/118.04     (P5(x31981,x31981)),
% 117.94/118.04     inference(rename_variables,[],[30])).
% 117.94/118.04  cnf(3201,plain,
% 117.94/118.04     (~P1(f5(f10(a8),f10(a6)))),
% 117.94/118.04     inference(scs_inference,[],[22,3094,3099,3100,3142,3029,3148,3158,3140,3108,3086,826,2533,368,30,3198,536,31,2,50,52,51,3,55,19,20,15,13,17,18,347])).
% 117.94/118.04  cnf(3208,plain,
% 117.94/118.04     (P4(f5(a1,x32081),f10(f5(a2,x32081)))),
% 117.94/118.04     inference(scs_inference,[],[22,3094,3099,3100,3142,3029,3148,3158,3140,3171,3108,3039,3086,826,2533,368,30,3198,536,35,31,2,50,52,51,3,55,19,20,15,13,17,18,347,46,344,48])).
% 117.94/118.04  cnf(3215,plain,
% 117.94/118.04     (~P4(f10(f5(a2,x32151)),f5(a1,x32151))),
% 117.94/118.04     inference(scs_inference,[],[3144,3208,2,50])).
% 117.94/118.04  cnf(3217,plain,
% 117.94/118.04     (P4(f5(f7(a8),a1),f7(a8))),
% 117.94/118.04     inference(scs_inference,[],[3144,3208,1234,2,50,52])).
% 117.94/118.04  cnf(3219,plain,
% 117.94/118.04     (~P2(f14(a8),f10(f9(x32191)))),
% 117.94/118.04     inference(scs_inference,[],[3144,3208,1234,795,2,50,52,51])).
% 117.94/118.04  cnf(3228,plain,
% 117.94/118.04     (~E(f14(a8),f13(a6,a2))),
% 117.94/118.04     inference(scs_inference,[],[2846,3144,3185,3152,3174,3208,3145,2813,1234,795,2533,368,2,50,52,51,3,55,19,20,15])).
% 117.94/118.04  cnf(3231,plain,
% 117.94/118.04     (~P4(f10(a6),f5(f10(a1),a1))),
% 117.94/118.04     inference(scs_inference,[],[22,2846,3144,3185,3152,3174,3181,3208,3201,3145,2813,3098,1234,795,2533,368,2,50,52,51,3,55,19,20,15,13,14])).
% 117.94/118.04  cnf(3234,plain,
% 117.94/118.04     (~P1(f5(f10(a8),f10(a2)))),
% 117.94/118.04     inference(scs_inference,[],[22,2846,3144,3185,3152,3174,3181,3208,3201,3145,2813,3098,1234,2831,795,2533,368,2,50,52,51,3,55,19,20,15,13,14,18,347])).
% 117.94/118.04  cnf(3244,plain,
% 117.94/118.04     (~E(f7(a11),f13(x32441,a1))),
% 117.94/118.04     inference(scs_inference,[],[3187,2])).
% 117.94/118.04  cnf(3247,plain,
% 117.94/118.04     (P4(f5(a11,a1),a11)),
% 117.94/118.04     inference(scs_inference,[],[3187,3217,1227,2,50,52])).
% 117.94/118.04  cnf(3261,plain,
% 117.94/118.04     (~E(f5(f7(a8),a1),f10(a8))),
% 117.94/118.04     inference(scs_inference,[],[22,3187,3112,3215,3217,3234,2959,3102,3103,3164,3021,371,1227,715,31,2,50,52,51,3,19,20,15,13,14])).
% 117.94/118.04  cnf(3275,plain,
% 117.94/118.04     (~E(f13(a6,a2),f14(a8))),
% 117.94/118.04     inference(scs_inference,[],[3228,2])).
% 117.94/118.04  cnf(3278,plain,
% 117.94/118.04     (P4(f5(a11,a2),a11)),
% 117.94/118.04     inference(scs_inference,[],[3228,3247,787,2,50,52])).
% 117.94/118.04  cnf(3280,plain,
% 117.94/118.04     (~P2(a11,f10(a6))),
% 117.94/118.04     inference(scs_inference,[],[3228,3247,787,771,2,50,52,51])).
% 117.94/118.04  cnf(3284,plain,
% 117.94/118.04     (~E(f14(a1),f14(a8))),
% 117.94/118.04     inference(scs_inference,[],[3228,3244,3247,3036,3219,3115,787,771,2,50,52,51,3,19])).
% 117.94/118.04  cnf(3301,plain,
% 117.94/118.04     (P4(f5(f13(a12,a3),a1),f13(a12,a3))),
% 117.94/118.04     inference(scs_inference,[],[3278,3284,1219,2,50,52])).
% 117.94/118.04  cnf(3305,plain,
% 117.94/118.04     (E(f13(f13(x33051,a2),f13(x33052,a2)),a1)),
% 117.94/118.04     inference(scs_inference,[],[3278,3284,2954,3164,1219,814,2,50,52,51,3])).
% 117.94/118.04  cnf(3323,plain,
% 117.94/118.04     (~P4(f13(a12,a3),f5(f13(a12,a3),a1))),
% 117.94/118.04     inference(scs_inference,[],[3261,3301,2,50])).
% 117.94/118.04  cnf(3325,plain,
% 117.94/118.04     (P4(f5(f7(a8),a6),f7(a8))),
% 117.94/118.04     inference(scs_inference,[],[3261,3301,830,2,50,52])).
% 117.94/118.04  cnf(3327,plain,
% 117.94/118.04     (~P5(f14(a8),f13(f13(x33271,a2),f13(x33272,a2)))),
% 117.94/118.04     inference(scs_inference,[],[3261,3301,3305,1231,830,2,50,52,18])).
% 117.94/118.04  cnf(3328,plain,
% 117.94/118.04     (~E(f13(a6,a1),f14(a8))),
% 117.94/118.04     inference(scs_inference,[],[3275,3261,3301,3305,2512,1231,830,2,50,52,18,3])).
% 117.94/118.04  cnf(3332,plain,
% 117.94/118.04     (~E(f10(a11),f10(a6))),
% 117.94/118.04     inference(scs_inference,[],[3275,3261,3301,3305,3280,2973,2512,1231,830,2533,2,50,52,18,3,19,20])).
% 117.94/118.04  cnf(3348,plain,
% 117.94/118.04     (P4(f5(f7(a8),a2),f7(a8))),
% 117.94/118.04     inference(scs_inference,[],[3328,3325,826,2,50,52])).
% 117.94/118.04  cnf(3351,plain,
% 117.94/118.04     (P5(x33511,x33511)),
% 117.94/118.04     inference(rename_variables,[],[30])).
% 117.94/118.04  cnf(3352,plain,
% 117.94/118.04     (E(f13(f14(a1),f14(a1)),a1)),
% 117.94/118.04     inference(scs_inference,[],[3328,2854,3325,3327,3164,826,30,2,50,52,18,3])).
% 117.94/118.04  cnf(3359,plain,
% 117.94/118.04     (P5(f13(a1,a1),f13(f14(a1),f14(a1)))),
% 117.94/118.04     inference(scs_inference,[],[23,3328,2854,3325,3327,3110,2939,3234,2564,2339,3164,826,2533,30,3351,2,50,52,18,3,19,20,15,13,17])).
% 117.94/118.04  cnf(3376,plain,
% 117.94/118.04     (P4(f5(f14(a8),f9(x33761)),f14(a8))),
% 117.94/118.04     inference(scs_inference,[],[3332,3348,795,2,50,52])).
% 117.94/118.04  cnf(3378,plain,
% 117.94/118.04     (~P5(a8,f13(f14(a1),f14(a1)))),
% 117.94/118.04     inference(scs_inference,[],[3332,3348,3352,1223,795,2,50,52,18])).
% 117.94/118.04  cnf(3387,plain,
% 117.94/118.04     (~E(f13(a1,a1),a8)),
% 117.94/118.04     inference(scs_inference,[],[23,3180,3332,3348,3323,3359,3352,2701,2569,3084,3009,2944,3133,1223,795,2533,2,50,52,18,3,19,15,20,13,17])).
% 117.94/118.04  cnf(3400,plain,
% 117.94/118.04     (P5(x34001,x34001)),
% 117.94/118.04     inference(rename_variables,[],[30])).
% 117.94/118.04  cnf(3403,plain,
% 117.94/118.04     (E(f13(f13(x34031,a1),x34032),f13(a1,x34032))),
% 117.94/118.04     inference(rename_variables,[],[3166])).
% 117.94/118.04  cnf(3415,plain,
% 117.94/118.04     (P2(f5(f10(x34151),f9(x34152)),f10(x34151))),
% 117.94/118.04     inference(scs_inference,[],[23,3387,3166,3403,3170,3376,3231,3378,3173,2659,3201,3161,715,2533,30,3400,31,2,50,52,18,3,19,15,20,54,13,17,46])).
% 117.94/118.04  cnf(4582,plain,
% 117.94/118.04     ($false),
% 117.94/118.04     inference(scs_inference,[],[36,2513,3415,2292,2,51,56]),
% 117.94/118.04     ['proof']).
% 117.94/118.04  % SZS output end Proof
% 117.94/118.04  % Total time :117.300000s
%------------------------------------------------------------------------------