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CSE---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : KRS117+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n013.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 10:08:33 EDT 2024

% Result   : Unsatisfiable 116.83s 117.26s
% Output   : CNFRefutation 116.90s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : KRS117+1 : TPTP v8.2.0. Released v3.1.0.
% 0.11/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n013.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   : Wed Jun 19 12:08:54 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.19/0.57  start to proof:theBenchmark
% 116.74/117.24  %-------------------------------------------
% 116.74/117.24  % File        :CSE---1.7
% 116.74/117.24  % Problem     :theBenchmark
% 116.74/117.24  % Transform   :cnf
% 116.74/117.24  % Format      :tptp:raw
% 116.74/117.24  % Command     :java -jar mcs_scs.jar %d %s
% 116.74/117.24  
% 116.74/117.24  % Result      :Theorem 116.200000s
% 116.74/117.24  % Output      :CNFRefutation 116.200000s
% 116.74/117.24  %-------------------------------------------
% 116.74/117.25  %------------------------------------------------------------------------------
% 116.74/117.25  % File     : KRS117+1 : TPTP v8.2.0. Released v3.1.0.
% 116.74/117.25  % Domain   : Knowledge Representation (Semantic Web)
% 116.74/117.25  % Problem  : DL Test: t6.1 Double blocking example
% 116.74/117.25  % Version  : Especial.
% 116.74/117.25  % English  :
% 116.74/117.25  
% 116.74/117.25  % Refs     : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% 116.74/117.25  %          : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% 116.74/117.25  % Source   : [Bec03]
% 116.74/117.25  % Names    : inconsistent_description-logic-Manifest626 [Bec03]
% 116.74/117.25  
% 116.74/117.25  % Status   : Unsatisfiable
% 116.74/117.25  % Rating   : 0.00 v3.1.0
% 116.74/117.25  % Syntax   : Number of formulae    :   32 (   1 unt;   0 def)
% 116.74/117.25  %            Number of atoms       :   92 (  20 equ)
% 116.74/117.25  %            Maximal formula atoms :    6 (   2 avg)
% 116.74/117.25  %            Number of connectives :   63 (   3   ~;   0   |;  28   &)
% 116.74/117.25  %                                         (   8 <=>;  24  =>;   0  <=;   0 <~>)
% 116.74/117.25  %            Maximal formula depth :    7 (   5 avg)
% 116.74/117.25  %            Maximal term depth    :    1 (   1 avg)
% 116.74/117.25  %            Number of predicates  :   15 (  14 usr;   0 prp; 1-2 aty)
% 116.74/117.25  %            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
% 116.74/117.25  %            Number of variables   :   73 (  68   !;   5   ?)
% 116.74/117.25  % SPC      : FOF_UNS_RFO_SEQ
% 116.74/117.25  
% 116.74/117.25  % Comments : Sean Bechhofer says there are some errors in the encoding of
% 116.74/117.25  %            datatypes, so this problem may not be perfect. At least it's
% 116.74/117.25  %            still representative of the type of reasoning required for OWL.
% 116.74/117.25  %          : The concept should be incoherent but needs double blocking
% 116.74/117.25  %------------------------------------------------------------------------------
% 116.74/117.25  fof(cUnsatisfiable_substitution_1,axiom,
% 116.74/117.25      ! [A,B] :
% 116.74/117.25        ( ( A = B
% 116.74/117.25          & cUnsatisfiable(A) )
% 116.74/117.25       => cUnsatisfiable(B) ) ).
% 116.74/117.25  
% 116.74/117.25  fof(ca_Vx3_substitution_1,axiom,
% 116.74/117.25      ! [A,B] :
% 116.74/117.25        ( ( A = B
% 116.74/117.25          & ca_Vx3(A) )
% 116.74/117.25       => ca_Vx3(B) ) ).
% 116.74/117.25  
% 116.74/117.25  fof(cc_substitution_1,axiom,
% 116.74/117.25      ! [A,B] :
% 116.74/117.25        ( ( A = B
% 116.74/117.25          & cc(A) )
% 116.74/117.25       => cc(B) ) ).
% 116.74/117.25  
% 116.74/117.25  fof(ccxcomp_substitution_1,axiom,
% 116.74/117.25      ! [A,B] :
% 116.74/117.25        ( ( A = B
% 116.74/117.25          & ccxcomp(A) )
% 116.74/117.25       => ccxcomp(B) ) ).
% 116.74/117.25  
% 116.74/117.25  fof(cd_substitution_1,axiom,
% 116.74/117.25      ! [A,B] :
% 116.74/117.25        ( ( A = B
% 116.74/117.25          & cd(A) )
% 116.74/117.25       => cd(B) ) ).
% 116.74/117.25  
% 116.74/117.25  fof(cowlNothing_substitution_1,axiom,
% 116.74/117.25      ! [A,B] :
% 116.74/117.25        ( ( A = B
% 116.74/117.25          & cowlNothing(A) )
% 116.74/117.25       => cowlNothing(B) ) ).
% 116.74/117.26  
% 116.74/117.26  fof(cowlThing_substitution_1,axiom,
% 116.74/117.26      ! [A,B] :
% 116.74/117.26        ( ( A = B
% 116.74/117.26          & cowlThing(A) )
% 116.74/117.26       => cowlThing(B) ) ).
% 116.74/117.26  
% 116.74/117.26  fof(ra_Px1_substitution_1,axiom,
% 116.74/117.26      ! [A,B,C] :
% 116.74/117.26        ( ( A = B
% 116.74/117.26          & ra_Px1(A,C) )
% 116.74/117.26       => ra_Px1(B,C) ) ).
% 116.74/117.26  
% 116.74/117.26  fof(ra_Px1_substitution_2,axiom,
% 116.74/117.26      ! [A,B,C] :
% 116.74/117.26        ( ( A = B
% 116.74/117.26          & ra_Px1(C,A) )
% 116.74/117.26       => ra_Px1(C,B) ) ).
% 116.74/117.26  
% 116.74/117.26  fof(rf_substitution_1,axiom,
% 116.74/117.26      ! [A,B,C] :
% 116.74/117.26        ( ( A = B
% 116.74/117.26          & rf(A,C) )
% 116.74/117.26       => rf(B,C) ) ).
% 116.74/117.26  
% 116.74/117.26  fof(rf_substitution_2,axiom,
% 116.74/117.26      ! [A,B,C] :
% 116.74/117.26        ( ( A = B
% 116.74/117.26          & rf(C,A) )
% 116.74/117.26       => rf(C,B) ) ).
% 116.74/117.26  
% 116.74/117.26  fof(rinvF_substitution_1,axiom,
% 116.74/117.26      ! [A,B,C] :
% 116.74/117.26        ( ( A = B
% 116.83/117.26          & rinvF(A,C) )
% 116.83/117.26       => rinvF(B,C) ) ).
% 116.83/117.26  
% 116.83/117.26  fof(rinvF_substitution_2,axiom,
% 116.83/117.26      ! [A,B,C] :
% 116.83/117.26        ( ( A = B
% 116.83/117.26          & rinvF(C,A) )
% 116.83/117.26       => rinvF(C,B) ) ).
% 116.83/117.26  
% 116.83/117.26  fof(rinvR_substitution_1,axiom,
% 116.83/117.26      ! [A,B,C] :
% 116.83/117.26        ( ( A = B
% 116.83/117.26          & rinvR(A,C) )
% 116.83/117.26       => rinvR(B,C) ) ).
% 116.83/117.26  
% 116.83/117.26  fof(rinvR_substitution_2,axiom,
% 116.83/117.26      ! [A,B,C] :
% 116.83/117.26        ( ( A = B
% 116.83/117.26          & rinvR(C,A) )
% 116.83/117.26       => rinvR(C,B) ) ).
% 116.83/117.26  
% 116.83/117.26  fof(rr_substitution_1,axiom,
% 116.83/117.26      ! [A,B,C] :
% 116.83/117.26        ( ( A = B
% 116.83/117.26          & rr(A,C) )
% 116.83/117.26       => rr(B,C) ) ).
% 116.83/117.26  
% 116.83/117.26  fof(rr_substitution_2,axiom,
% 116.83/117.26      ! [A,B,C] :
% 116.83/117.26        ( ( A = B
% 116.83/117.26          & rr(C,A) )
% 116.83/117.26       => rr(C,B) ) ).
% 116.83/117.26  
% 116.83/117.26  fof(xsd_integer_substitution_1,axiom,
% 116.83/117.26      ! [A,B] :
% 116.83/117.26        ( ( A = B
% 116.83/117.26          & xsd_integer(A) )
% 116.83/117.26       => xsd_integer(B) ) ).
% 116.83/117.26  
% 116.83/117.26  fof(xsd_string_substitution_1,axiom,
% 116.83/117.26      ! [A,B] :
% 116.83/117.26        ( ( A = B
% 116.83/117.26          & xsd_string(A) )
% 116.83/117.26       => xsd_string(B) ) ).
% 116.83/117.26  
% 116.83/117.26  %----Thing and Nothing
% 116.83/117.26  fof(axiom_0,axiom,
% 116.83/117.26      ! [X] :
% 116.83/117.26        ( cowlThing(X)
% 116.83/117.26        & ~ cowlNothing(X) ) ).
% 116.83/117.26  
% 116.83/117.26  %----String and Integer disjoint
% 116.83/117.26  fof(axiom_1,axiom,
% 116.83/117.26      ! [X] :
% 116.83/117.26        ( xsd_string(X)
% 116.83/117.26      <=> ~ xsd_integer(X) ) ).
% 116.83/117.26  
% 116.83/117.26  %----Equality cUnsatisfiable
% 116.83/117.26  fof(axiom_2,axiom,
% 116.83/117.26      ! [X] :
% 116.83/117.26        ( cUnsatisfiable(X)
% 116.83/117.26      <=> ( ccxcomp(X)
% 116.83/117.26          & ! [Y] :
% 116.83/117.26              ( rinvR(X,Y)
% 116.83/117.26             => ca_Vx3(Y) )
% 116.83/117.26          & ? [Y] :
% 116.83/117.26              ( rinvF(X,Y)
% 116.83/117.26              & cd(Y) ) ) ) ).
% 116.83/117.26  
% 116.83/117.26  %----Equality cc
% 116.83/117.26  fof(axiom_3,axiom,
% 116.83/117.26      ! [X] :
% 116.83/117.26        ( cc(X)
% 116.83/117.26      <=> ~ ? [Y] : ra_Px1(X,Y) ) ).
% 116.83/117.26  
% 116.83/117.26  %----Equality ccxcomp
% 116.83/117.26  fof(axiom_4,axiom,
% 116.83/117.26      ! [X] :
% 116.83/117.26        ( ccxcomp(X)
% 116.83/117.26      <=> ? [Y0] : ra_Px1(X,Y0) ) ).
% 116.83/117.26  
% 116.83/117.26  %----Equality cd
% 116.83/117.26  fof(axiom_5,axiom,
% 116.83/117.26      ! [X] :
% 116.83/117.26        ( cd(X)
% 116.83/117.26      <=> ( ? [Y] :
% 116.83/117.26              ( rf(X,Y)
% 116.83/117.26              & ccxcomp(Y) )
% 116.83/117.26          & cc(X) ) ) ).
% 116.83/117.26  
% 116.83/117.26  %----Equality ca_Vx3
% 116.83/117.26  fof(axiom_6,axiom,
% 116.83/117.26      ! [X] :
% 116.83/117.26        ( ca_Vx3(X)
% 116.83/117.26      <=> ? [Y] :
% 116.83/117.26            ( rinvF(X,Y)
% 116.83/117.26            & cd(Y) ) ) ).
% 116.83/117.26  
% 116.83/117.26  %----Super cowlThing
% 116.83/117.26  fof(axiom_7,axiom,
% 116.83/117.26      ! [X] :
% 116.83/117.26        ( cowlThing(X)
% 116.83/117.26       => ! [Y0,Y1] :
% 116.83/117.26            ( ( rf(X,Y0)
% 116.83/117.26              & rf(X,Y1) )
% 116.83/117.26           => Y0 = Y1 ) ) ).
% 116.83/117.26  
% 116.83/117.26  %----Inverse: rinvF
% 116.83/117.26  fof(axiom_8,axiom,
% 116.83/117.26      ! [X,Y] :
% 116.83/117.26        ( rinvF(X,Y)
% 116.83/117.26      <=> rf(Y,X) ) ).
% 116.83/117.26  
% 116.83/117.26  %----Inverse: rinvR
% 116.83/117.26  fof(axiom_9,axiom,
% 116.83/117.26      ! [X,Y] :
% 116.83/117.26        ( rinvR(X,Y)
% 116.83/117.26      <=> rr(Y,X) ) ).
% 116.83/117.26  
% 116.83/117.26  %----Transitive: rr
% 116.83/117.26  fof(axiom_10,axiom,
% 116.83/117.26      ! [X,Y,Z] :
% 116.83/117.26        ( ( rr(X,Y)
% 116.83/117.26          & rr(Y,Z) )
% 116.83/117.26       => rr(X,Z) ) ).
% 116.83/117.26  
% 116.83/117.26  %----i2003_11_14_17_21_37349
% 116.83/117.26  fof(axiom_11,axiom,
% 116.83/117.26      cUnsatisfiable(i2003_11_14_17_21_37349) ).
% 116.83/117.26  
% 116.83/117.26  fof(axiom_12,axiom,
% 116.83/117.26      ! [X,Y] :
% 116.83/117.26        ( rf(X,Y)
% 116.83/117.26       => rr(X,Y) ) ).
% 116.83/117.26  
% 116.83/117.26  %------------------------------------------------------------------------------
% 116.83/117.26  %-------------------------------------------
% 116.83/117.26  % Proof found
% 116.83/117.26  % SZS status Theorem for theBenchmark
% 116.83/117.26  % SZS output start Proof
% 116.83/117.26  %ClaNum:55(EqnAxiom:27)
% 116.83/117.26  %VarNum:94(SingletonVarNum:43)
% 116.83/117.26  %MaxLitNum:5
% 116.83/117.26  %MaxfuncDepth:1
% 116.83/117.26  %SharedTerms:2
% 116.83/117.26  [28]P1(a1)
% 116.83/117.26  [29]~P2(x291)
% 116.83/117.26  [30]P13(x301)+P7(x301)
% 116.83/117.26  [31]~P5(x311)+P3(x311)
% 116.83/117.26  [32]~P1(x321)+P6(x321)
% 116.83/117.26  [33]~P13(x331)+~P7(x331)
% 116.83/117.26  [34]~P5(x341)+P6(f2(x341))
% 116.83/117.26  [35]~P1(x351)+P5(f3(x351))
% 116.83/117.26  [36]~P4(x361)+P5(f7(x361))
% 116.83/117.26  [37]P3(x371)+P8(x371,f4(x371))
% 116.83/117.26  [39]~P6(x391)+P8(x391,f6(x391))
% 116.83/117.26  [40]~P5(x401)+P9(x401,f2(x401))
% 116.83/117.26  [41]~P1(x411)+P10(x411,f3(x411))
% 116.83/117.26  [42]~P4(x421)+P10(x421,f7(x421))
% 116.83/117.26  [38]P6(x381)+~P8(x381,x382)
% 116.83/117.26  [43]~P3(x431)+~P8(x431,x432)
% 116.83/117.26  [46]~P10(x462,x461)+P9(x461,x462)
% 116.83/117.26  [47]~P9(x472,x471)+P10(x471,x472)
% 116.83/117.26  [48]~P12(x482,x481)+P11(x481,x482)
% 116.83/117.26  [49]~P11(x492,x491)+P12(x491,x492)
% 116.83/117.26  [50]~P9(x501,x502)+P12(x501,x502)
% 116.83/117.26  [44]~P11(x442,x441)+P4(x441)+~P1(x442)
% 116.83/117.26  [45]~P10(x451,x452)+P4(x451)+~P5(x452)
% 116.83/117.26  [52]~P9(x523,x521)+E(x521,x522)+~P9(x523,x522)
% 116.83/117.26  [54]~P12(x541,x543)+P12(x541,x542)+~P12(x543,x542)
% 116.83/117.26  [51]~P3(x511)+~P9(x511,x512)+P5(x511)+~P6(x512)
% 116.83/117.26  [53]~P6(x531)+~P10(x531,x532)+P1(x531)+~P5(x532)+~P4(f5(x531))
% 116.83/117.26  [55]~P6(x551)+~P10(x551,x552)+P1(x551)+~P5(x552)+P11(x551,f5(x551))
% 116.83/117.26  %EqnAxiom
% 116.83/117.26  [1]E(x11,x11)
% 116.83/117.26  [2]E(x22,x21)+~E(x21,x22)
% 116.83/117.26  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 116.83/117.26  [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 116.83/117.26  [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 116.83/117.26  [6]~E(x61,x62)+E(f7(x61),f7(x62))
% 116.83/117.26  [7]~E(x71,x72)+E(f4(x71),f4(x72))
% 116.83/117.26  [8]~E(x81,x82)+E(f6(x81),f6(x82))
% 116.83/117.26  [9]~E(x91,x92)+E(f5(x91),f5(x92))
% 116.83/117.26  [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 116.83/117.26  [11]~P2(x111)+P2(x112)+~E(x111,x112)
% 116.83/117.26  [12]~P7(x121)+P7(x122)+~E(x121,x122)
% 116.83/117.26  [13]~P13(x131)+P13(x132)+~E(x131,x132)
% 116.83/117.26  [14]~P3(x141)+P3(x142)+~E(x141,x142)
% 116.83/117.26  [15]~P5(x151)+P5(x152)+~E(x151,x152)
% 116.83/117.26  [16]~P6(x161)+P6(x162)+~E(x161,x162)
% 116.83/117.26  [17]P10(x172,x173)+~E(x171,x172)+~P10(x171,x173)
% 116.83/117.26  [18]P10(x183,x182)+~E(x181,x182)+~P10(x183,x181)
% 116.83/117.26  [19]P12(x192,x193)+~E(x191,x192)+~P12(x191,x193)
% 116.83/117.26  [20]P12(x203,x202)+~E(x201,x202)+~P12(x203,x201)
% 116.83/117.26  [21]~P4(x211)+P4(x212)+~E(x211,x212)
% 116.83/117.26  [22]P9(x222,x223)+~E(x221,x222)+~P9(x221,x223)
% 116.83/117.26  [23]P9(x233,x232)+~E(x231,x232)+~P9(x233,x231)
% 116.83/117.26  [24]P11(x242,x243)+~E(x241,x242)+~P11(x241,x243)
% 116.83/117.26  [25]P11(x253,x252)+~E(x251,x252)+~P11(x253,x251)
% 116.83/117.26  [26]P8(x262,x263)+~E(x261,x262)+~P8(x261,x263)
% 116.83/117.26  [27]P8(x273,x272)+~E(x271,x272)+~P8(x273,x271)
% 116.83/117.26  
% 116.83/117.26  %-------------------------------------------
% 116.83/117.27  cnf(57,plain,
% 116.83/117.27     (~P5(x571)+~P8(x571,x572)),
% 116.83/117.27     inference(scs_inference,[],[31,43])).
% 116.83/117.27  cnf(58,plain,
% 116.83/117.27     (P8(a1,f6(a1))),
% 116.83/117.27     inference(scs_inference,[],[28,32,39])).
% 116.83/117.27  cnf(59,plain,
% 116.83/117.27     (P8(x591,f6(a1))+~E(a1,x591)),
% 116.83/117.27     inference(scs_inference,[],[58,26])).
% 116.83/117.27  cnf(64,plain,
% 116.83/117.27     (~P11(a1,x641)+P5(f7(x641))),
% 116.83/117.27     inference(scs_inference,[],[28,36,44])).
% 116.83/117.27  cnf(65,plain,
% 116.83/117.27     (~E(a1,x651)+P6(x651)),
% 116.83/117.27     inference(scs_inference,[],[58,38,16])).
% 116.83/117.27  cnf(66,plain,
% 116.83/117.27     (P6(a1)),
% 116.83/117.27     inference(equality_inference,[],[65])).
% 116.83/117.27  cnf(67,plain,
% 116.83/117.27     (~P8(f3(a1),x671)),
% 116.83/117.27     inference(scs_inference,[],[28,57,35])).
% 116.83/117.27  cnf(68,plain,
% 116.83/117.27     (P3(f3(a1))),
% 116.83/117.27     inference(scs_inference,[],[67,37])).
% 116.83/117.27  cnf(69,plain,
% 116.83/117.27     (~P8(f3(a1),x691)),
% 116.83/117.27     inference(rename_variables,[],[67])).
% 116.83/117.27  cnf(71,plain,
% 116.83/117.27     (~P6(f3(a1))),
% 116.83/117.27     inference(scs_inference,[],[67,69,37,39])).
% 116.83/117.27  cnf(80,plain,
% 116.83/117.27     (P9(f3(a1),f2(f3(a1)))),
% 116.83/117.27     inference(scs_inference,[],[28,40,35])).
% 116.83/117.27  cnf(82,plain,
% 116.83/117.27     (P9(f3(a1),x821)+~E(f2(f3(a1)),x821)),
% 116.83/117.27     inference(scs_inference,[],[80,22,23])).
% 116.83/117.27  cnf(85,plain,
% 116.83/117.27     (~E(a1,x851)+P10(x851,f3(x851))),
% 116.83/117.27     inference(scs_inference,[],[28,41,10])).
% 116.83/117.27  cnf(86,plain,
% 116.83/117.27     (P10(a1,f3(a1))),
% 116.83/117.27     inference(equality_inference,[],[85])).
% 116.83/117.27  cnf(87,plain,
% 116.83/117.27     (P10(x871,f3(a1))+~E(a1,x871)),
% 116.83/117.27     inference(scs_inference,[],[86,17])).
% 116.83/117.27  cnf(88,plain,
% 116.83/117.27     (P10(a1,x881)+~E(f3(a1),x881)),
% 116.83/117.27     inference(scs_inference,[],[86,17,18])).
% 116.83/117.27  cnf(91,plain,
% 116.83/117.27     (~P5(f3(a1))+P10(a1,f7(a1))),
% 116.83/117.27     inference(scs_inference,[],[86,42,45])).
% 116.83/117.27  cnf(92,plain,
% 116.83/117.27     (P12(f3(a1),a1)),
% 116.83/117.27     inference(scs_inference,[],[86,46,50])).
% 116.83/117.27  cnf(93,plain,
% 116.83/117.27     (~P12(x931,f3(a1))+P12(x931,a1)),
% 116.83/117.27     inference(scs_inference,[],[92,54])).
% 116.83/117.27  cnf(99,plain,
% 116.83/117.27     (P10(x991,f3(a1))+~E(f2(f3(a1)),x991)),
% 116.83/117.27     inference(scs_inference,[],[80,47,17])).
% 116.83/117.27  cnf(104,plain,
% 116.83/117.27     (P5(f7(f3(a1)))),
% 116.83/117.27     inference(scs_inference,[],[92,48,64])).
% 116.83/117.27  cnf(108,plain,
% 116.83/117.27     (P10(a1,f7(a1))),
% 116.83/117.27     inference(scs_inference,[],[28,91,35])).
% 116.83/117.27  cnf(109,plain,
% 116.83/117.27     (P10(x1091,f7(a1))+~E(a1,x1091)),
% 116.83/117.27     inference(scs_inference,[],[108,17])).
% 116.83/117.27  cnf(110,plain,
% 116.83/117.27     (P10(a1,x1101)+~E(f7(a1),x1101)),
% 116.83/117.27     inference(scs_inference,[],[108,17,18])).
% 116.83/117.27  cnf(137,plain,
% 116.83/117.27     (P11(a1,x1371)+~E(f3(a1),x1371)),
% 116.83/117.27     inference(scs_inference,[],[92,25,48])).
% 116.83/117.27  cnf(138,plain,
% 116.83/117.28     (P11(a1,f3(a1))),
% 116.83/117.28     inference(equality_inference,[],[137])).
% 116.83/117.28  cnf(143,plain,
% 116.83/117.28     (P4(a1)+~P9(f3(a1),a1)),
% 116.83/117.28     inference(scs_inference,[],[66,68,86,51,45])).
% 116.83/117.28  cnf(144,plain,
% 116.83/117.28     (P4(a1)),
% 116.83/117.28     inference(scs_inference,[],[86,143,46])).
% 116.83/117.28  cnf(150,plain,
% 116.83/117.28     (P3(f7(a1))),
% 116.83/117.28     inference(scs_inference,[],[144,31,36])).
% 116.83/117.28  cnf(151,plain,
% 116.83/117.28     (~P8(f7(a1),x1511)),
% 116.83/117.28     inference(scs_inference,[],[150,43])).
% 116.83/117.28  cnf(157,plain,
% 116.83/117.28     (~E(f7(f3(a1)),x1571)+P3(x1571)),
% 116.83/117.28     inference(scs_inference,[],[104,31,14])).
% 116.83/117.28  cnf(159,plain,
% 116.83/117.28     (P5(f3(a1))+~P9(f3(a1),a1)),
% 116.83/117.28     inference(scs_inference,[],[28,68,32,51])).
% 116.83/117.28  cnf(160,plain,
% 116.83/117.28     (P5(f3(a1))),
% 116.83/117.28     inference(scs_inference,[],[86,159,46])).
% 116.83/117.28  cnf(161,plain,
% 116.83/117.28     (~E(x1611,x1612)+~P13(x1612)+~P7(x1611)),
% 116.83/117.28     inference(scs_inference,[],[33,12])).
% 116.83/117.28  cnf(166,plain,
% 116.83/117.28     (~E(a1,f7(a1))),
% 116.83/117.28     inference(scs_inference,[],[151,58,26])).
% 116.83/117.28  cnf(170,plain,
% 116.83/117.28     (P6(f2(f7(a1)))),
% 116.83/117.28     inference(scs_inference,[],[144,34,36])).
% 116.83/117.28  cnf(171,plain,
% 116.83/117.28     (P8(f2(f7(f3(a1))),f6(f2(f7(f3(a1)))))),
% 116.83/117.28     inference(scs_inference,[],[104,34,39])).
% 116.83/117.28  cnf(172,plain,
% 116.83/117.28     (P6(f2(f7(f3(a1))))),
% 116.83/117.28     inference(scs_inference,[],[138,34,64])).
% 116.83/117.28  cnf(180,plain,
% 116.83/117.28     (~E(a1,x1801)+P5(f3(x1801))),
% 116.83/117.28     inference(scs_inference,[],[28,35,10])).
% 116.83/117.28  cnf(184,plain,
% 116.83/117.28     (P9(f7(a1),f2(f7(a1)))),
% 116.83/117.28     inference(scs_inference,[],[144,36,40])).
% 116.83/117.28  cnf(185,plain,
% 116.83/117.28     (P9(f7(a1),x1851)+~E(f2(f7(a1)),x1851)),
% 116.83/117.28     inference(scs_inference,[],[184,23])).
% 116.83/117.28  cnf(186,plain,
% 116.83/117.28     (P9(x1861,f2(f7(a1)))+~E(f7(a1),x1861)),
% 116.83/117.28     inference(scs_inference,[],[184,23,22])).
% 116.83/117.28  cnf(189,plain,
% 116.83/117.28     (~P10(x1891,f7(f3(a1)))+P5(f7(x1891))),
% 116.83/117.28     inference(scs_inference,[],[104,36,45])).
% 116.83/117.28  cnf(190,plain,
% 116.83/117.28     (P3(f7(x1901))+~P10(x1901,f7(f3(a1)))),
% 116.83/117.28     inference(scs_inference,[],[189,31])).
% 116.83/117.28  cnf(191,plain,
% 116.83/117.28     (~P8(f7(x1911),x1912)+~P10(x1911,f7(f3(a1)))),
% 116.83/117.28     inference(scs_inference,[],[190,43])).
% 116.83/117.28  cnf(192,plain,
% 116.83/117.28     (~P6(f7(x1921))+~P10(x1921,f7(f3(a1)))),
% 116.83/117.28     inference(scs_inference,[],[191,39])).
% 116.83/117.28  cnf(193,plain,
% 116.83/117.28     (~P1(f7(x1931))+~P10(x1931,f7(f3(a1)))),
% 116.83/117.28     inference(scs_inference,[],[192,32])).
% 116.83/117.28  cnf(194,plain,
% 116.83/117.28     (~E(a1,f7(x1941))+~P10(x1941,f7(f3(a1)))),
% 116.83/117.28     inference(scs_inference,[],[28,193,10])).
% 116.83/117.28  cnf(197,plain,
% 116.83/117.28     (~P5(a1)),
% 116.83/117.28     inference(scs_inference,[],[58,43,31])).
% 116.83/117.28  cnf(234,plain,
% 116.83/117.28     (P8(a1,f4(a1))),
% 116.83/117.28     inference(scs_inference,[],[58,43,37])).
% 116.83/117.28  cnf(237,plain,
% 116.83/117.28     (~E(f7(f3(a1)),a1)),
% 116.83/117.28     inference(scs_inference,[],[58,43,157])).
% 116.83/117.28  cnf(257,plain,
% 116.83/117.28     (~P9(x2571,f3(a1))+~P9(x2571,a1)),
% 116.83/117.28     inference(scs_inference,[],[71,65,52])).
% 116.83/117.28  cnf(258,plain,
% 116.83/117.28     (~P10(f3(a1),x2581)+~P9(x2581,a1)),
% 116.83/117.28     inference(scs_inference,[],[257,46])).
% 116.83/117.28  cnf(259,plain,
% 116.83/117.28     (~P4(f3(a1))+~P9(f7(f3(a1)),a1)),
% 116.83/117.28     inference(scs_inference,[],[258,42])).
% 116.83/117.28  cnf(260,plain,
% 116.83/117.28     (~P10(a1,f7(f3(a1)))+~P4(f3(a1))),
% 116.83/117.28     inference(scs_inference,[],[259,46])).
% 116.83/117.28  cnf(261,plain,
% 116.83/117.28     (~E(f3(a1),f7(f3(a1)))+~P4(f3(a1))),
% 116.83/117.28     inference(scs_inference,[],[260,88])).
% 116.83/117.28  cnf(262,plain,
% 116.83/117.28     (~E(f7(f3(a1)),f3(a1))+~P4(f3(a1))),
% 116.83/117.28     inference(scs_inference,[],[261,2])).
% 116.83/117.28  cnf(263,plain,
% 116.83/117.28     (~E(x2631,f3(a1))+~E(f7(f3(a1)),x2631)+~P4(f3(a1))),
% 116.83/117.28     inference(scs_inference,[],[262,3])).
% 116.83/117.28  cnf(273,plain,
% 116.83/117.28     (E(f3(x2731),f3(x2732))+~E(x2732,x2731)),
% 116.83/117.28     inference(scs_inference,[],[2,5])).
% 116.83/117.28  cnf(276,plain,
% 116.83/117.28     (E(f7(x2761),f7(x2762))+~E(x2762,x2761)),
% 116.83/117.28     inference(scs_inference,[],[2,6])).
% 116.83/117.28  cnf(279,plain,
% 116.83/117.28     (E(f4(x2791),f4(x2792))+~E(x2792,x2791)),
% 116.83/117.28     inference(scs_inference,[],[2,7])).
% 116.83/117.28  cnf(286,plain,
% 116.83/117.28     (~E(x2861,f7(f3(a1)))+~E(x2861,f3(a1))+~P4(f3(a1))),
% 116.83/117.28     inference(scs_inference,[],[2,263])).
% 116.83/117.28  cnf(303,plain,
% 116.83/117.28     (~E(f7(a1),a1)),
% 116.83/117.28     inference(scs_inference,[],[151,2,59])).
% 116.83/117.28  cnf(315,plain,
% 116.83/117.28     (~E(x3151,f7(a1))+~E(a1,x3151)),
% 116.83/117.28     inference(scs_inference,[],[303,2,3])).
% 116.83/117.28  cnf(331,plain,
% 116.83/117.28     (~E(f3(a1),x3311)+P3(x3311)),
% 116.83/117.28     inference(scs_inference,[],[67,37,14])).
% 116.83/117.28  cnf(333,plain,
% 116.83/117.28     (~P3(a1)),
% 116.83/117.28     inference(scs_inference,[],[66,39,43])).
% 116.83/117.28  cnf(336,plain,
% 116.83/117.28     (P10(f2(f7(f3(a1))),f7(f3(a1)))),
% 116.83/117.28     inference(scs_inference,[],[104,40,47])).
% 116.83/117.28  cnf(337,plain,
% 116.83/117.28     (P9(f7(f3(a1)),f2(f7(f3(a1))))),
% 116.83/117.28     inference(scs_inference,[],[138,40,64])).
% 116.83/117.28  cnf(338,plain,
% 116.83/117.28     (P12(f7(f3(a1)),f2(f7(f3(a1))))),
% 116.83/117.28     inference(scs_inference,[],[104,40,50])).
% 116.83/117.28  cnf(341,plain,
% 116.83/117.28     (P9(x3411,f2(f7(f3(a1))))+~E(f7(f3(a1)),x3411)),
% 116.83/117.28     inference(scs_inference,[],[104,40,22])).
% 116.83/117.28  cnf(345,plain,
% 116.83/117.28     (P9(f7(f3(a1)),x3451)+~E(f2(f7(f3(a1))),x3451)),
% 116.83/117.28     inference(scs_inference,[],[104,40,23])).
% 116.83/117.28  cnf(347,plain,
% 116.83/117.28     (P9(f3(a1),a1)),
% 116.83/117.28     inference(scs_inference,[],[28,41,46])).
% 116.83/117.28  cnf(353,plain,
% 116.83/117.28     (~P10(f3(a1),f3(a1))),
% 116.83/117.28     inference(scs_inference,[],[347,257,258])).
% 116.83/117.28  cnf(355,plain,
% 116.83/117.28     (P9(x3551,a1)+~E(f3(a1),x3551)),
% 116.83/117.28     inference(scs_inference,[],[347,257,258,22])).
% 116.83/117.28  cnf(368,plain,
% 116.83/117.28     (P9(f7(a1),a1)),
% 116.83/117.28     inference(scs_inference,[],[144,42,46])).
% 116.83/117.28  cnf(373,plain,
% 116.83/117.28     (P9(x3731,a1)+~E(f7(a1),x3731)),
% 116.83/117.28     inference(scs_inference,[],[368,258,257,22])).
% 116.83/117.28  cnf(380,plain,
% 116.83/117.28     (P10(f3(a1),f7(f3(a1)))),
% 116.83/117.28     inference(scs_inference,[],[28,138,42,44])).
% 116.83/117.28  cnf(386,plain,
% 116.83/117.28     (P10(x3861,f7(f3(a1)))+~E(f3(a1),x3861)),
% 116.83/117.28     inference(scs_inference,[],[353,368,380,237,52,18,46,17])).
% 116.83/117.28  cnf(387,plain,
% 116.83/117.28     (P3(f7(x3871))+~E(f3(a1),x3871)),
% 116.83/117.28     inference(scs_inference,[],[353,368,380,237,52,18,46,17,190])).
% 116.83/117.28  cnf(404,plain,
% 116.83/117.28     (~P10(f7(a1),f3(a1))),
% 116.83/117.28     inference(scs_inference,[],[347,303,52,82,46])).
% 116.83/117.28  cnf(406,plain,
% 116.83/117.28     (~P9(f7(a1),f7(a1))),
% 116.83/117.28     inference(scs_inference,[],[303,368,52])).
% 116.83/117.28  cnf(408,plain,
% 116.83/117.28     (~E(f2(f7(a1)),f7(a1))),
% 116.83/117.28     inference(scs_inference,[],[303,368,52,185])).
% 116.83/117.28  cnf(409,plain,
% 116.83/117.28     (~P10(f7(a1),f7(a1))),
% 116.83/117.28     inference(scs_inference,[],[303,368,52,185,46])).
% 116.83/117.28  cnf(411,plain,
% 116.83/117.28     (~P9(f7(f3(a1)),a1)),
% 116.83/117.28     inference(scs_inference,[],[380,46,257])).
% 116.83/117.28  cnf(414,plain,
% 116.83/117.28     (~P10(a1,f7(f3(a1)))),
% 116.83/117.28     inference(scs_inference,[],[411,355,373,46])).
% 116.83/117.28  cnf(418,plain,
% 116.83/117.28     (P11(f2(f3(a1)),f3(a1))),
% 116.83/117.28     inference(scs_inference,[],[80,48,50])).
% 116.83/117.28  cnf(419,plain,
% 116.83/117.28     (P11(f2(f3(a1)),x4191)+~E(f3(a1),x4191)),
% 116.83/117.28     inference(scs_inference,[],[418,25])).
% 116.83/117.28  cnf(420,plain,
% 116.83/117.28     (P11(x4201,f3(a1))+~E(f2(f3(a1)),x4201)),
% 116.83/117.28     inference(scs_inference,[],[418,25,24])).
% 116.83/117.28  cnf(423,plain,
% 116.83/117.28     (P4(f3(a1))),
% 116.83/117.28     inference(scs_inference,[],[92,28,48,44])).
% 116.83/117.28  cnf(424,plain,
% 116.90/117.28     (~E(f7(f3(a1)),x4241)+~E(x4241,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[423,263])).
% 116.90/117.28  cnf(426,plain,
% 116.90/117.28     (~E(x4261,f7(f3(a1)))+~E(x4261,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[423,286])).
% 116.90/117.28  cnf(427,plain,
% 116.90/117.28     (~E(x4271,a1)+~E(f7(f3(a1)),f3(x4271))),
% 116.90/117.28     inference(scs_inference,[],[424,5])).
% 116.90/117.28  cnf(429,plain,
% 116.90/117.28     (~E(a1,x4291)+~E(f3(x4291),f7(f3(a1)))),
% 116.90/117.28     inference(scs_inference,[],[426,273])).
% 116.90/117.28  cnf(433,plain,
% 116.90/117.28     (~P9(x4331,f7(f3(a1)))+~P9(x4331,f3(x4332))+~E(a1,x4332)),
% 116.90/117.28     inference(scs_inference,[],[429,52])).
% 116.90/117.28  cnf(434,plain,
% 116.90/117.28     (~P9(x4341,f3(a1))+~P9(x4341,f7(f3(a1)))),
% 116.90/117.28     inference(equality_inference,[],[433])).
% 116.90/117.28  cnf(436,plain,
% 116.90/117.28     (~P10(f7(f3(a1)),x4361)+~P9(x4361,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[434,46])).
% 116.90/117.28  cnf(437,plain,
% 116.90/117.28     (~P10(f7(f3(a1)),x4371)+~E(x4371,x4372)+~P9(x4372,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[436,18])).
% 116.90/117.28  cnf(452,plain,
% 116.90/117.28     (P11(a1,x4521)+~P12(x4521,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[92,48,54])).
% 116.90/117.28  cnf(453,plain,
% 116.90/117.28     (~P11(f3(a1),x4531)+P11(a1,x4531)),
% 116.90/117.28     inference(scs_inference,[],[452,49])).
% 116.90/117.28  cnf(454,plain,
% 116.90/117.28     (P5(f7(x4541))+~P11(f3(a1),x4541)),
% 116.90/117.28     inference(scs_inference,[],[453,64])).
% 116.90/117.28  cnf(463,plain,
% 116.90/117.28     (P12(x4631,f2(f3(a1)))+~E(f3(a1),x4631)),
% 116.90/117.28     inference(scs_inference,[],[49,419])).
% 116.90/117.28  cnf(464,plain,
% 116.90/117.28     (P12(f3(a1),f2(f3(a1)))),
% 116.90/117.28     inference(equality_inference,[],[463])).
% 116.90/117.28  cnf(465,plain,
% 116.90/117.28     (~P12(x4651,f3(a1))+P12(x4651,f2(f3(a1)))),
% 116.90/117.28     inference(scs_inference,[],[464,54])).
% 116.90/117.28  cnf(468,plain,
% 116.90/117.28     (P11(f2(f3(a1)),x4681)+~P12(x4681,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[465,48])).
% 116.90/117.28  cnf(469,plain,
% 116.90/117.28     (P12(f3(a1),x4691)+~E(f2(f3(a1)),x4691)),
% 116.90/117.28     inference(scs_inference,[],[464,20])).
% 116.90/117.28  cnf(473,plain,
% 116.90/117.28     (P11(x4731,x4732)+~E(f2(f3(a1)),x4731)+~P12(x4732,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[468,24])).
% 116.90/117.28  cnf(499,plain,
% 116.90/117.28     (~P11(f3(a1),x4991)+P11(x4992,x4991)+~E(f2(f3(a1)),x4992)),
% 116.90/117.28     inference(scs_inference,[],[49,473])).
% 116.90/117.28  cnf(501,plain,
% 116.90/117.28     (P12(x5011,x5012)+~E(f2(f3(a1)),x5012)+~P11(f3(a1),x5011)),
% 116.90/117.28     inference(scs_inference,[],[49,499])).
% 116.90/117.28  cnf(510,plain,
% 116.90/117.28     (~P9(x5101,f3(a1))+P12(x5101,a1)),
% 116.90/117.28     inference(scs_inference,[],[50,93])).
% 116.90/117.28  cnf(511,plain,
% 116.90/117.28     (P12(f7(f3(a1)),a1)),
% 116.90/117.28     inference(scs_inference,[],[380,510,46])).
% 116.90/117.28  cnf(512,plain,
% 116.90/117.28     (~P12(x5121,f7(f3(a1)))+P12(x5121,a1)),
% 116.90/117.28     inference(scs_inference,[],[511,54])).
% 116.90/117.28  cnf(514,plain,
% 116.90/117.28     (P12(x5141,a1)+~E(f7(f3(a1)),x5141)),
% 116.90/117.28     inference(scs_inference,[],[511,54,19])).
% 116.90/117.28  cnf(523,plain,
% 116.90/117.28     (~P9(x5231,f3(a1))+P11(a1,x5231)),
% 116.90/117.28     inference(scs_inference,[],[50,452])).
% 116.90/117.28  cnf(524,plain,
% 116.90/117.28     (P11(a1,f7(f3(a1)))),
% 116.90/117.28     inference(scs_inference,[],[380,523,46])).
% 116.90/117.28  cnf(525,plain,
% 116.90/117.28     (P11(a1,x5251)+~E(f7(f3(a1)),x5251)),
% 116.90/117.28     inference(scs_inference,[],[524,25])).
% 116.90/117.28  cnf(556,plain,
% 116.90/117.28     (P5(f7(x5561))+~P12(x5561,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[64,452])).
% 116.90/117.28  cnf(557,plain,
% 116.90/117.28     (P3(f7(x5571))+~P12(x5571,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[556,31])).
% 116.90/117.28  cnf(558,plain,
% 116.90/117.28     (~P8(f7(x5581),x5582)+~P12(x5581,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[557,43])).
% 116.90/117.28  cnf(559,plain,
% 116.90/117.28     (~P6(f7(x5591))+~P12(x5591,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[558,39])).
% 116.90/117.28  cnf(560,plain,
% 116.90/117.28     (~P1(f7(x5601))+~P12(x5601,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[559,32])).
% 116.90/117.28  cnf(567,plain,
% 116.90/117.28     (P3(f3(x5671))+~E(a1,x5671)),
% 116.90/117.28     inference(scs_inference,[],[180,31])).
% 116.90/117.28  cnf(572,plain,
% 116.90/117.28     (P9(f3(x5721),f2(f3(x5721)))+~E(a1,x5721)),
% 116.90/117.28     inference(scs_inference,[],[180,40])).
% 116.90/117.28  cnf(576,plain,
% 116.90/117.28     (P3(f3(f2(f3(a1))))),
% 116.90/117.28     inference(scs_inference,[],[80,347,567,52])).
% 116.90/117.28  cnf(604,plain,
% 116.90/117.28     (P9(f3(x6041),x6041)+~E(a1,x6041)),
% 116.90/117.28     inference(scs_inference,[],[85,46])).
% 116.90/117.28  cnf(607,plain,
% 116.90/117.28     (P4(x6071)+~E(a1,x6071)),
% 116.90/117.28     inference(scs_inference,[],[160,87,45])).
% 116.90/117.28  cnf(609,plain,
% 116.90/117.28     (~E(a1,x6091)+P5(f7(x6091))),
% 116.90/117.28     inference(scs_inference,[],[607,36])).
% 116.90/117.28  cnf(613,plain,
% 116.90/117.28     (~E(x6131,x6132)+P4(x6132)+~E(a1,x6131)),
% 116.90/117.28     inference(scs_inference,[],[607,21])).
% 116.90/117.28  cnf(614,plain,
% 116.90/117.28     (~E(x6141,x6142)+~E(a1,x6141)+P5(f7(x6142))),
% 116.90/117.28     inference(scs_inference,[],[613,36])).
% 116.90/117.28  cnf(615,plain,
% 116.90/117.28     (P3(f7(x6151))+~E(x6152,x6151)+~E(a1,x6152)),
% 116.90/117.28     inference(scs_inference,[],[614,31])).
% 116.90/117.28  cnf(616,plain,
% 116.90/117.28     (~E(x6161,x6162)+~P8(f7(x6162),x6163)+~E(a1,x6161)),
% 116.90/117.28     inference(scs_inference,[],[615,43])).
% 116.90/117.28  cnf(623,plain,
% 116.90/117.28     (P9(f7(x6231),f2(f7(x6231)))+~E(a1,x6231)),
% 116.90/117.28     inference(scs_inference,[],[609,40])).
% 116.90/117.28  cnf(653,plain,
% 116.90/117.28     (~E(x6531,f7(f3(a1)))+~E(f7(a1),x6531)),
% 116.90/117.28     inference(scs_inference,[],[414,110,3])).
% 116.90/117.28  cnf(654,plain,
% 116.90/117.28     (~E(f7(f3(a1)),x6541)+~E(f7(a1),x6541)),
% 116.90/117.28     inference(scs_inference,[],[653,2])).
% 116.90/117.28  cnf(655,plain,
% 116.90/117.28     (~E(f3(a1),x6551)+~E(f7(a1),f7(x6551))),
% 116.90/117.28     inference(scs_inference,[],[654,6])).
% 116.90/117.28  cnf(656,plain,
% 116.90/117.28     (~E(f7(x6561),f7(a1))+~E(f3(a1),x6561)),
% 116.90/117.28     inference(scs_inference,[],[655,2])).
% 116.90/117.28  cnf(657,plain,
% 116.90/117.28     (~E(a1,x6571)+~E(f7(f3(x6571)),f7(a1))),
% 116.90/117.28     inference(scs_inference,[],[656,5])).
% 116.90/117.28  cnf(658,plain,
% 116.90/117.28     (~E(f7(a1),f7(f3(x6581)))+~E(a1,x6581)),
% 116.90/117.28     inference(scs_inference,[],[657,2])).
% 116.90/117.28  cnf(659,plain,
% 116.90/117.28     (~P9(x6591,f7(f3(x6592)))+~P9(x6591,f7(a1))+~E(a1,x6592)),
% 116.90/117.28     inference(scs_inference,[],[658,52])).
% 116.90/117.28  cnf(660,plain,
% 116.90/117.28     (~P9(x6601,f7(f3(a1)))+~P9(x6601,f7(a1))),
% 116.90/117.28     inference(equality_inference,[],[659])).
% 116.90/117.28  cnf(661,plain,
% 116.90/117.28     (~P10(f7(f3(a1)),x6611)+~P9(x6611,f7(a1))),
% 116.90/117.28     inference(scs_inference,[],[660,46])).
% 116.90/117.28  cnf(662,plain,
% 116.90/117.28     (~P10(f7(f3(a1)),x6621)+~E(x6621,x6622)+~P9(x6622,f7(a1))),
% 116.90/117.28     inference(scs_inference,[],[661,18])).
% 116.90/117.28  cnf(682,plain,
% 116.90/117.28     (P4(x6821)+~E(f3(a1),x6821)),
% 116.90/117.28     inference(scs_inference,[],[28,137,44])).
% 116.90/117.28  cnf(684,plain,
% 116.90/117.28     (~E(f3(a1),x6841)+P10(x6841,f7(x6841))),
% 116.90/117.28     inference(scs_inference,[],[682,42])).
% 116.90/117.28  cnf(686,plain,
% 116.90/117.28     (P4(f3(x6861))+~E(a1,x6861)),
% 116.90/117.28     inference(scs_inference,[],[682,5])).
% 116.90/117.28  cnf(701,plain,
% 116.90/117.28     (~E(a1,x7011)+P10(f3(x7011),f7(f3(x7011)))),
% 116.90/117.28     inference(scs_inference,[],[686,42])).
% 116.90/117.28  cnf(704,plain,
% 116.90/117.28     (~E(f3(x7041),x7042)+P4(x7042)+~E(a1,x7041)),
% 116.90/117.28     inference(scs_inference,[],[686,21])).
% 116.90/117.28  cnf(705,plain,
% 116.90/117.28     (~E(f3(x7051),x7052)+~E(a1,x7051)+P5(f7(x7052))),
% 116.90/117.28     inference(scs_inference,[],[704,36])).
% 116.90/117.28  cnf(706,plain,
% 116.90/117.28     (P3(f7(x7061))+~E(f3(x7062),x7061)+~E(a1,x7062)),
% 116.90/117.28     inference(scs_inference,[],[705,31])).
% 116.90/117.28  cnf(751,plain,
% 116.90/117.28     (~P9(f7(f3(a1)),x7511)+~E(x7511,a1)),
% 116.90/117.28     inference(scs_inference,[],[380,258,23])).
% 116.90/117.28  cnf(753,plain,
% 116.90/117.28     (~E(f7(a1),x7531)+~E(a1,x7531)),
% 116.90/117.28     inference(scs_inference,[],[315,2])).
% 116.90/117.28  cnf(754,plain,
% 116.90/117.28     (~E(f7(a1),f2(f3(a1)))),
% 116.90/117.28     inference(scs_inference,[],[80,347,753,52])).
% 116.90/117.28  cnf(762,plain,
% 116.90/117.28     (E(a1,f2(f3(a1)))),
% 116.90/117.28     inference(scs_inference,[],[80,355,52])).
% 116.90/117.28  cnf(767,plain,
% 116.90/117.28     (E(f2(f3(a1)),a1)),
% 116.90/117.28     inference(scs_inference,[],[762,59,109,2])).
% 116.90/117.28  cnf(768,plain,
% 116.90/117.28     (P1(f2(f3(a1)))),
% 116.90/117.28     inference(scs_inference,[],[762,28,59,109,2,10])).
% 116.90/117.28  cnf(769,plain,
% 116.90/117.28     (~P3(f2(f3(a1)))),
% 116.90/117.28     inference(scs_inference,[],[333,762,28,59,109,2,10,14])).
% 116.90/117.28  cnf(770,plain,
% 116.90/117.28     (~P5(f2(f3(a1)))),
% 116.90/117.28     inference(scs_inference,[],[197,333,762,28,59,109,2,10,14,15])).
% 116.90/117.28  cnf(804,plain,
% 116.90/117.28     (~E(f7(x8041),a1)+~E(f3(a1),x8041)),
% 116.90/117.28     inference(scs_inference,[],[333,387,14])).
% 116.90/117.28  cnf(805,plain,
% 116.90/117.28     (~E(f7(x8051),f2(f3(a1)))+~E(f3(a1),x8051)),
% 116.90/117.28     inference(scs_inference,[],[767,804,3])).
% 116.90/117.28  cnf(806,plain,
% 116.90/117.28     (~E(f2(f3(a1)),f7(x8061))+~E(f3(a1),x8061)),
% 116.90/117.28     inference(scs_inference,[],[805,2])).
% 116.90/117.28  cnf(807,plain,
% 116.90/117.28     (~P9(f3(a1),f7(x8071))+~E(f3(a1),x8071)),
% 116.90/117.28     inference(scs_inference,[],[80,806,52])).
% 116.90/117.28  cnf(816,plain,
% 116.90/117.28     (P4(x8161)+~P12(x8161,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[28,452,44])).
% 116.90/117.28  cnf(817,plain,
% 116.90/117.28     (~P12(x8171,f3(a1))+P10(x8171,f7(x8171))),
% 116.90/117.28     inference(scs_inference,[],[816,42])).
% 116.90/117.28  cnf(818,plain,
% 116.90/117.28     (P9(f7(x8181),x8181)+~P12(x8181,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[817,46])).
% 116.90/117.28  cnf(819,plain,
% 116.90/117.28     (P12(f7(x8191),x8191)+~P12(x8191,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[818,50])).
% 116.90/117.28  cnf(820,plain,
% 116.90/117.28     (P11(x8201,f7(x8201))+~P12(x8201,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[819,48])).
% 116.90/117.28  cnf(834,plain,
% 116.90/117.28     (P4(x8341)+~P9(x8341,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[816,50])).
% 116.90/117.28  cnf(835,plain,
% 116.90/117.28     (~P9(x8351,f3(a1))+P10(x8351,f7(x8351))),
% 116.90/117.28     inference(scs_inference,[],[834,42])).
% 116.90/117.28  cnf(836,plain,
% 116.90/117.28     (P9(f7(x8361),x8361)+~P9(x8361,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[835,46])).
% 116.90/117.28  cnf(837,plain,
% 116.90/117.28     (P12(f7(x8371),x8371)+~P9(x8371,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[836,50])).
% 116.90/117.28  cnf(838,plain,
% 116.90/117.28     (P11(x8381,f7(x8381))+~P9(x8381,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[837,48])).
% 116.90/117.28  cnf(858,plain,
% 116.90/117.28     (~P11(f3(a1),x8581)+P6(f2(f7(x8581)))),
% 116.90/117.28     inference(scs_inference,[],[454,34])).
% 116.90/117.28  cnf(859,plain,
% 116.90/117.28     (~E(f2(f7(x8591)),f3(a1))+~P11(f3(a1),x8591)),
% 116.90/117.28     inference(scs_inference,[],[71,858,16])).
% 116.90/117.28  cnf(860,plain,
% 116.90/117.28     (~E(f3(a1),f2(f7(x8601)))+~P11(f3(a1),x8601)),
% 116.90/117.28     inference(scs_inference,[],[859,2])).
% 116.90/117.28  cnf(862,plain,
% 116.90/117.28     (~E(f7(x8621),a1)+~P11(f3(a1),x8621)),
% 116.90/117.28     inference(scs_inference,[],[197,454,15])).
% 116.90/117.28  cnf(863,plain,
% 116.90/117.28     (~E(f7(x8631),f2(f3(a1)))+~P11(f3(a1),x8631)),
% 116.90/117.28     inference(scs_inference,[],[767,862,3])).
% 116.90/117.28  cnf(864,plain,
% 116.90/117.28     (~E(f2(f3(a1)),f7(x8641))+~P11(f3(a1),x8641)),
% 116.90/117.28     inference(scs_inference,[],[863,2])).
% 116.90/117.28  cnf(865,plain,
% 116.90/117.28     (~P9(f3(a1),f7(x8651))+~P11(f3(a1),x8651)),
% 116.90/117.28     inference(scs_inference,[],[80,864,52])).
% 116.90/117.28  cnf(866,plain,
% 116.90/117.28     (~P10(f7(x8661),f3(a1))+~P11(f3(a1),x8661)),
% 116.90/117.28     inference(scs_inference,[],[865,46])).
% 116.90/117.28  cnf(867,plain,
% 116.90/117.28     (~P10(f7(x8671),x8672)+~E(x8672,f3(a1))+~P11(f3(a1),x8671)),
% 116.90/117.28     inference(scs_inference,[],[866,18])).
% 116.90/117.28  cnf(925,plain,
% 116.90/117.28     (~P12(x9251,f3(a1))+P6(f2(f7(x9251)))),
% 116.90/117.28     inference(scs_inference,[],[556,34])).
% 116.90/117.28  cnf(926,plain,
% 116.90/117.28     (~E(f2(f7(x9261)),f3(a1))+~P12(x9261,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[71,925,16])).
% 116.90/117.28  cnf(941,plain,
% 116.90/117.28     (~E(f2(f7(a1)),f7(x9411))+~P12(x9411,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[170,559,16])).
% 116.90/117.28  cnf(942,plain,
% 116.90/117.28     (~E(f7(x9421),f2(f7(a1)))+~P12(x9421,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[941,2])).
% 116.90/117.28  cnf(943,plain,
% 116.90/117.28     (~P9(f7(a1),f7(x9431))+~P12(x9431,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[184,942,52])).
% 116.90/117.28  cnf(944,plain,
% 116.90/117.28     (~P11(f3(a1),x9441)+~P9(f7(a1),f7(x9441))),
% 116.90/117.28     inference(scs_inference,[],[943,49])).
% 116.90/117.28  cnf(945,plain,
% 116.90/117.28     (~P10(f7(x9451),f7(a1))+~P11(f3(a1),x9451)),
% 116.90/117.28     inference(scs_inference,[],[944,46])).
% 116.90/117.28  cnf(946,plain,
% 116.90/117.28     (~P12(x9461,f3(a1))+~P10(f7(x9461),f7(a1))),
% 116.90/117.28     inference(scs_inference,[],[945,48])).
% 116.90/117.28  cnf(947,plain,
% 116.90/117.28     (~P10(f7(x9471),x9472)+~E(x9472,f7(a1))+~P12(x9471,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[946,18])).
% 116.90/117.28  cnf(958,plain,
% 116.90/117.28     (~E(f2(f3(a1)),f7(x9581))+~P12(x9581,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[768,560,10])).
% 116.90/117.28  cnf(959,plain,
% 116.90/117.28     (~E(f7(x9591),f2(f3(a1)))+~P12(x9591,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[958,2])).
% 116.90/117.28  cnf(960,plain,
% 116.90/117.28     (~P9(f3(a1),f7(x9601))+~P12(x9601,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[80,959,52])).
% 116.90/117.28  cnf(961,plain,
% 116.90/117.28     (~P9(x9611,f3(a1))+~P9(f3(a1),f7(x9611))),
% 116.90/117.28     inference(scs_inference,[],[960,50])).
% 116.90/117.28  cnf(962,plain,
% 116.90/117.28     (~P10(f7(x9621),f3(a1))+~P9(x9621,f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[961,46])).
% 116.90/117.28  cnf(963,plain,
% 116.90/117.28     (~P10(f7(f7(f3(a1))),f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[380,962,46])).
% 116.90/117.28  cnf(976,plain,
% 116.90/117.28     (~P9(f3(f2(f3(a1))),f7(a1))),
% 116.90/117.28     inference(scs_inference,[],[762,754,604,52])).
% 116.90/117.28  cnf(1039,plain,
% 116.90/117.28     (E(f2(f7(a1)),f2(f7(f2(f3(a1)))))),
% 116.90/117.28     inference(scs_inference,[],[762,4,6])).
% 116.90/117.28  cnf(1049,plain,
% 116.90/117.28     (E(f2(f3(a1)),f2(f3(f2(f3(a1)))))),
% 116.90/117.28     inference(scs_inference,[],[762,4,5])).
% 116.90/117.28  cnf(1085,plain,
% 116.90/117.28     (E(f2(a1),f2(f2(f3(a1))))),
% 116.90/117.28     inference(scs_inference,[],[767,4,2])).
% 116.90/117.28  cnf(1105,plain,
% 116.90/117.28     (E(f3(f2(f3(a1))),f3(a1))),
% 116.90/117.28     inference(scs_inference,[],[762,5,2])).
% 116.90/117.28  cnf(1111,plain,
% 116.90/117.28     (E(f7(f3(f2(f3(a1)))),f7(f3(a1)))),
% 116.90/117.28     inference(scs_inference,[],[762,5,276])).
% 116.90/117.28  cnf(1121,plain,
% 116.90/117.28     (P10(f3(f2(f3(a1))),f7(f3(a1)))),
% 116.90/117.28     inference(scs_inference,[],[762,5,386])).
% 116.90/117.28  cnf(1132,plain,
% 116.90/117.28     (E(f7(f3(a1)),f7(f3(f2(f3(a1)))))),
% 116.90/117.28     inference(scs_inference,[],[762,5,6])).
% 116.90/117.28  cnf(1139,plain,
% 116.90/117.28     (E(f7(f2(f3(a1))),f7(a1))),
% 116.90/117.28     inference(scs_inference,[],[762,6,2])).
% 116.90/117.28  cnf(1142,plain,
% 116.90/117.28     (E(f7(f7(f2(f3(a1)))),f7(f7(a1)))),
% 116.90/117.28     inference(scs_inference,[],[762,6,276])).
% 116.90/117.28  cnf(1143,plain,
% 116.90/117.28     (P9(f7(f2(f3(a1))),f2(f7(a1)))),
% 116.90/117.28     inference(scs_inference,[],[762,6,186])).
% 116.90/117.28  cnf(1384,plain,
% 116.90/117.28     (P5(f7(x13841))+~P9(f7(f3(a1)),x13841)),
% 116.90/117.28     inference(scs_inference,[],[189,47])).
% 116.90/117.28  cnf(1385,plain,
% 116.90/117.28     (P3(f7(x13851))+~P9(f7(f3(a1)),x13851)),
% 116.90/117.28     inference(scs_inference,[],[1384,31])).
% 116.90/117.28  cnf(1386,plain,
% 116.90/117.28     (~P8(f7(x13861),x13862)+~P9(f7(f3(a1)),x13861)),
% 116.90/117.28     inference(scs_inference,[],[1385,43])).
% 116.90/117.28  cnf(1387,plain,
% 116.90/117.28     (~P6(f7(x13871))+~P9(f7(f3(a1)),x13871)),
% 116.90/117.28     inference(scs_inference,[],[1386,39])).
% 116.90/117.28  cnf(1388,plain,
% 116.90/117.28     (~P1(f7(x13881))+~P9(f7(f3(a1)),x13881)),
% 116.90/117.28     inference(scs_inference,[],[1387,32])).
% 116.90/117.28  cnf(1389,plain,
% 116.90/117.28     (~E(f2(f3(a1)),f7(x13891))+~P9(f7(f3(a1)),x13891)),
% 116.90/117.28     inference(scs_inference,[],[768,1388,10])).
% 116.90/117.28  cnf(1390,plain,
% 116.90/117.28     (~E(f7(x13901),f2(f3(a1)))+~P9(f7(f3(a1)),x13901)),
% 116.90/117.28     inference(scs_inference,[],[1389,2])).
% 116.90/117.28  cnf(1392,plain,
% 116.90/117.28     (E(f3(a1),f3(f2(f3(a1))))),
% 116.90/117.28     inference(scs_inference,[],[762,273,2])).
% 116.90/117.28  cnf(1402,plain,
% 116.90/117.28     (E(f4(a1),f4(f2(f3(a1))))),
% 116.90/117.28     inference(scs_inference,[],[762,279,2])).
% 116.90/117.28  cnf(1526,plain,
% 116.90/117.28     (P11(a1,x15261)+~P12(x15261,f7(f3(a1)))),
% 116.90/117.28     inference(scs_inference,[],[512,48])).
% 116.90/117.28  cnf(1541,plain,
% 116.90/117.28     (P12(x15411,f2(f3(a1)))+~P12(x15411,f7(f3(a1)))),
% 116.90/117.28     inference(scs_inference,[],[762,512,20])).
% 116.90/117.28  cnf(1542,plain,
% 116.90/117.28     (~P11(f7(f3(a1)),x15421)+P12(x15421,f2(f3(a1)))),
% 116.90/117.28     inference(scs_inference,[],[1541,49])).
% 116.90/117.28  cnf(1543,plain,
% 116.90/117.28     (P11(f2(f3(a1)),x15431)+~P11(f7(f3(a1)),x15431)),
% 116.90/117.28     inference(scs_inference,[],[1542,48])).
% 116.90/117.28  cnf(1548,plain,
% 116.90/117.29     (P12(x15481,f2(f3(a1)))+~E(f7(f3(a1)),x15481)),
% 116.90/117.29     inference(scs_inference,[],[762,514,20])).
% 116.90/117.29  cnf(1562,plain,
% 116.90/117.29     (~E(f3(a1),x15621)+P11(a1,f7(x15621))),
% 116.90/117.29     inference(scs_inference,[],[525,6])).
% 116.90/117.29  cnf(1564,plain,
% 116.90/117.29     (P4(x15641)+~E(f7(f3(a1)),x15641)),
% 116.90/117.29     inference(scs_inference,[],[28,525,44])).
% 116.90/117.29  cnf(1566,plain,
% 116.90/117.29     (~E(f7(f3(a1)),x15661)+P10(x15661,f7(x15661))),
% 116.90/117.29     inference(scs_inference,[],[1564,42])).
% 116.90/117.29  cnf(1567,plain,
% 116.90/117.29     (P10(f7(f3(a1)),f7(f7(f3(a1))))),
% 116.90/117.29     inference(equality_inference,[],[1566])).
% 116.90/117.29  cnf(1568,plain,
% 116.90/117.29     (~E(x15681,f3(a1))+P4(f7(x15681))),
% 116.90/117.29     inference(scs_inference,[],[1564,276])).
% 116.90/117.29  cnf(1574,plain,
% 116.90/117.29     (~E(x15741,f3(a1))+P5(f7(f7(x15741)))),
% 116.90/117.29     inference(scs_inference,[],[1568,36])).
% 116.90/117.29  cnf(1654,plain,
% 116.90/117.29     (P9(f7(x16541),x16541)+~E(f3(a1),x16541)),
% 116.90/117.29     inference(scs_inference,[],[684,46])).
% 116.90/117.29  cnf(1655,plain,
% 116.90/117.29     (P9(f7(f3(a1)),f3(a1))),
% 116.90/117.29     inference(equality_inference,[],[1654])).
% 116.90/117.29  cnf(1656,plain,
% 116.90/117.29     (~E(x16561,f7(f3(a1)))+~P10(f7(f3(a1)),x16561)),
% 116.90/117.29     inference(scs_inference,[],[1655,437])).
% 116.90/117.29  cnf(1658,plain,
% 116.90/117.29     (~P9(x16581,f7(f3(a1)))+~E(x16581,f7(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[1655,437,47])).
% 116.90/117.29  cnf(1661,plain,
% 116.90/117.29     (~P10(f7(f3(a1)),f7(f3(a1)))),
% 116.90/117.29     inference(equality_inference,[],[1656])).
% 116.90/117.29  cnf(1662,plain,
% 116.90/117.29     (~P9(f7(f3(a1)),f7(f3(a1)))),
% 116.90/117.29     inference(equality_inference,[],[1658])).
% 116.90/117.29  cnf(1677,plain,
% 116.90/117.29     (P9(f7(f7(f3(a1))),f7(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[1655,818,50])).
% 116.90/117.29  cnf(1698,plain,
% 116.90/117.29     (P12(f7(f7(f3(a1))),f7(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[1655,819,50])).
% 116.90/117.29  cnf(1724,plain,
% 116.90/117.29     (P11(f7(f3(a1)),f7(f7(f3(a1))))),
% 116.90/117.29     inference(scs_inference,[],[1655,820,50])).
% 116.90/117.29  cnf(1880,plain,
% 116.90/117.29     (P11(x18801,f7(f7(f3(a1))))+~E(f7(f3(a1)),x18801)),
% 116.90/117.29     inference(scs_inference,[],[1655,838,24])).
% 116.90/117.29  cnf(1929,plain,
% 116.90/117.29     (P5(f7(x19291))+~P12(x19291,f7(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[1526,64])).
% 116.90/117.29  cnf(1930,plain,
% 116.90/117.29     (P3(f7(x19301))+~P12(x19301,f7(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[1929,31])).
% 116.90/117.29  cnf(1931,plain,
% 116.90/117.29     (~P8(f7(x19311),x19312)+~P12(x19311,f7(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[1930,43])).
% 116.90/117.29  cnf(1932,plain,
% 116.90/117.29     (~P6(f7(x19321))+~P12(x19321,f7(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[1931,39])).
% 116.90/117.29  cnf(1933,plain,
% 116.90/117.29     (~P1(f7(x19331))+~P12(x19331,f7(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[1932,32])).
% 116.90/117.29  cnf(1934,plain,
% 116.90/117.29     (~E(f2(f3(a1)),f7(x19341))+~P12(x19341,f7(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[768,1933,10])).
% 116.90/117.29  cnf(1935,plain,
% 116.90/117.29     (~P11(f7(f3(a1)),x19351)+~E(f2(f3(a1)),f7(x19351))),
% 116.90/117.29     inference(scs_inference,[],[1934,49])).
% 116.90/117.29  cnf(1936,plain,
% 116.90/117.29     (~E(f7(x19361),f2(f3(a1)))+~P11(f7(f3(a1)),x19361)),
% 116.90/117.29     inference(scs_inference,[],[1935,2])).
% 116.90/117.29  cnf(1937,plain,
% 116.90/117.29     (~P12(x19371,f7(f3(a1)))+~E(f7(x19371),f2(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[1936,48])).
% 116.90/117.29  cnf(1938,plain,
% 116.90/117.29     (~E(f7(x19381),a1)+~P12(x19381,f7(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[762,1937,3])).
% 116.90/117.29  cnf(1939,plain,
% 116.90/117.29     (~P9(x19391,f7(f3(a1)))+~E(f7(x19391),a1)),
% 116.90/117.29     inference(scs_inference,[],[1938,50])).
% 116.90/117.29  cnf(1940,plain,
% 116.90/117.29     (~P10(f7(f3(a1)),x19401)+~E(f7(x19401),a1)),
% 116.90/117.29     inference(scs_inference,[],[1939,46])).
% 116.90/117.29  cnf(1941,plain,
% 116.90/117.29     (~E(a1,f7(x19411))+~P10(f7(f3(a1)),x19411)),
% 116.90/117.29     inference(scs_inference,[],[1940,2])).
% 116.90/117.29  cnf(1942,plain,
% 116.90/117.29     (~P9(x19421,f7(f3(a1)))+~E(a1,f7(x19421))),
% 116.90/117.29     inference(scs_inference,[],[1941,47])).
% 116.90/117.29  cnf(1943,plain,
% 116.90/117.29     (~P9(f3(a1),f7(x19431))+~P9(x19431,f7(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[347,1942,52])).
% 116.90/117.29  cnf(1952,plain,
% 116.90/117.29     (P4(x19521)+~P12(x19521,f7(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[28,1526,44])).
% 116.90/117.29  cnf(1953,plain,
% 116.90/117.29     (~P12(x19531,f7(f3(a1)))+P10(x19531,f7(x19531))),
% 116.90/117.29     inference(scs_inference,[],[1952,42])).
% 116.90/117.29  cnf(1954,plain,
% 116.90/117.29     (P9(f7(x19541),x19541)+~P12(x19541,f7(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[1953,46])).
% 116.90/117.29  cnf(1955,plain,
% 116.90/117.29     (P12(f7(x19551),x19551)+~P12(x19551,f7(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[1954,50])).
% 116.90/117.29  cnf(1956,plain,
% 116.90/117.29     (P11(x19561,f7(x19561))+~P12(x19561,f7(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[1955,48])).
% 116.90/117.29  cnf(1959,plain,
% 116.90/117.29     (P4(x19591)+~P11(f7(f3(a1)),x19591)),
% 116.90/117.29     inference(scs_inference,[],[1952,49])).
% 116.90/117.29  cnf(1960,plain,
% 116.90/117.29     (~P11(f7(f3(a1)),x19601)+P5(f7(x19601))),
% 116.90/117.29     inference(scs_inference,[],[1959,36])).
% 116.90/117.29  cnf(1965,plain,
% 116.90/117.29     (P4(x19651)+~P9(x19651,f7(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[1952,50])).
% 116.90/117.29  cnf(1966,plain,
% 116.90/117.29     (~P9(x19661,f7(f3(a1)))+P5(f7(x19661))),
% 116.90/117.29     inference(scs_inference,[],[1965,36])).
% 116.90/117.29  cnf(1967,plain,
% 116.90/117.29     (P3(f7(x19671))+~P9(x19671,f7(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[1966,31])).
% 116.90/117.29  cnf(1968,plain,
% 116.90/117.29     (~P8(f7(x19681),x19682)+~P9(x19681,f7(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[1967,43])).
% 116.90/117.29  cnf(1969,plain,
% 116.90/117.29     (~P6(f7(x19691))+~P9(x19691,f7(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[1968,39])).
% 116.90/117.29  cnf(1970,plain,
% 116.90/117.29     (~P1(f7(x19701))+~P9(x19701,f7(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[1969,32])).
% 116.90/117.29  cnf(1972,plain,
% 116.90/117.29     (~P11(f7(f3(a1)),x19721)+P10(x19721,f7(x19721))),
% 116.90/117.29     inference(scs_inference,[],[1959,42])).
% 116.90/117.29  cnf(1973,plain,
% 116.90/117.29     (P9(f7(x19731),x19731)+~P11(f7(f3(a1)),x19731)),
% 116.90/117.29     inference(scs_inference,[],[1972,46])).
% 116.90/117.29  cnf(1974,plain,
% 116.90/117.29     (P12(f7(x19741),x19741)+~P11(f7(f3(a1)),x19741)),
% 116.90/117.29     inference(scs_inference,[],[1973,50])).
% 116.90/117.29  cnf(2015,plain,
% 116.90/117.29     (P11(f2(f3(a1)),f7(x20151))+~E(f3(a1),x20151)),
% 116.90/117.29     inference(scs_inference,[],[762,1562,24])).
% 116.90/117.29  cnf(2020,plain,
% 116.90/117.29     (~P8(f7(f7(x20201)),x20202)+~E(x20201,f3(a1))),
% 116.90/117.29     inference(scs_inference,[],[1574,57])).
% 116.90/117.29  cnf(2041,plain,
% 116.90/117.29     (P12(f7(x20411),x20411)+~E(f3(a1),x20411)),
% 116.90/117.29     inference(scs_inference,[],[1654,50])).
% 116.90/117.29  cnf(2042,plain,
% 116.90/117.29     (P12(f7(f3(a1)),f3(a1))),
% 116.90/117.29     inference(equality_inference,[],[2041])).
% 116.90/117.29  cnf(2043,plain,
% 116.90/117.29     (~P12(x20431,f7(f3(a1)))+P12(x20431,f3(a1))),
% 116.90/117.29     inference(scs_inference,[],[2042,54])).
% 116.90/117.29  cnf(2055,plain,
% 116.90/117.29     (~P11(f7(f3(a1)),x20551)+P12(x20551,f3(a1))),
% 116.90/117.29     inference(scs_inference,[],[2043,49])).
% 116.90/117.29  cnf(2071,plain,
% 116.90/117.29     (~E(f7(f3(a1)),x20711)+~P9(f3(a1),f7(x20711))),
% 116.90/117.29     inference(scs_inference,[],[2042,19,559,560,926,941,943,958,959,960])).
% 116.90/117.29  cnf(2075,plain,
% 116.90/117.29     (~P10(f7(x20751),f7(a1))+~E(f7(f3(a1)),x20751)),
% 116.90/117.29     inference(scs_inference,[],[2042,19,559,560,926,941,943,958,959,960,942,46])).
% 116.90/117.29  cnf(2149,plain,
% 116.90/117.29     (~P12(x21491,f7(f3(a1)))+P6(f2(f7(x21491)))),
% 116.90/117.29     inference(scs_inference,[],[1929,34])).
% 116.90/117.29  cnf(2150,plain,
% 116.90/117.29     (~E(f2(f7(x21501)),f3(a1))+~P12(x21501,f7(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[71,2149,16])).
% 116.90/117.29  cnf(2151,plain,
% 116.90/117.29     (~P11(f7(f3(a1)),x21511)+~E(f2(f7(x21511)),f3(a1))),
% 116.90/117.29     inference(scs_inference,[],[2150,49])).
% 116.90/117.29  cnf(2152,plain,
% 116.90/117.29     (~E(f3(a1),f2(f7(x21521)))+~P11(f7(f3(a1)),x21521)),
% 116.90/117.29     inference(scs_inference,[],[2151,2])).
% 116.90/117.29  cnf(2153,plain,
% 116.90/117.29     (~P12(x21531,f7(f3(a1)))+~E(f3(a1),f2(f7(x21531)))),
% 116.90/117.29     inference(scs_inference,[],[2152,48])).
% 116.90/117.29  cnf(2160,plain,
% 116.90/117.29     (~P12(x21601,f7(f3(a1)))+~E(a1,f7(x21601))),
% 116.90/117.29     inference(scs_inference,[],[1932,65])).
% 116.90/117.29  cnf(2161,plain,
% 116.90/117.29     (~P11(f7(f3(a1)),x21611)+~E(a1,f7(x21611))),
% 116.90/117.29     inference(scs_inference,[],[2160,49])).
% 116.90/117.29  cnf(2162,plain,
% 116.90/117.29     (~E(f7(x21621),a1)+~P11(f7(f3(a1)),x21621)),
% 116.90/117.29     inference(scs_inference,[],[2161,2])).
% 116.90/117.29  cnf(2163,plain,
% 116.90/117.29     (~P9(f3(a1),f7(x21631))+~P11(f7(f3(a1)),x21631)),
% 116.90/117.29     inference(scs_inference,[],[347,2162,52])).
% 116.90/117.29  cnf(2164,plain,
% 116.90/117.29     (~P12(x21641,f7(f3(a1)))+~P9(f3(a1),f7(x21641))),
% 116.90/117.29     inference(scs_inference,[],[2163,48])).
% 116.90/117.29  cnf(2165,plain,
% 116.90/117.29     (~P10(f7(x21651),f3(a1))+~P12(x21651,f7(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[2164,46])).
% 116.90/117.29  cnf(2166,plain,
% 116.90/117.29     (~P9(x21661,f7(f3(a1)))+~P10(f7(x21661),f3(a1))),
% 116.90/117.29     inference(scs_inference,[],[2165,50])).
% 116.90/117.29  cnf(2167,plain,
% 116.90/117.29     (~P10(f7(f3(a1)),x21671)+~P10(f7(x21671),f3(a1))),
% 116.90/117.29     inference(scs_inference,[],[2166,46])).
% 116.90/117.29  cnf(2168,plain,
% 116.90/117.29     (~P10(f7(x21681),x21682)+~E(x21682,f3(a1))+~P10(f7(f3(a1)),x21681)),
% 116.90/117.29     inference(scs_inference,[],[2167,18])).
% 116.90/117.29  cnf(2170,plain,
% 116.90/117.29     (~E(f2(f7(a1)),f7(x21701))+~P12(x21701,f7(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[170,1932,16])).
% 116.90/117.29  cnf(2172,plain,
% 116.90/117.29     (~P11(f7(f3(a1)),x21721)+P6(f2(f7(x21721)))),
% 116.90/117.29     inference(scs_inference,[],[1960,34])).
% 116.90/117.29  cnf(2181,plain,
% 116.90/117.29     (P11(x21811,f7(x21811))+~E(f3(a1),x21811)),
% 116.90/117.29     inference(scs_inference,[],[2041,48])).
% 116.90/117.29  cnf(2182,plain,
% 116.90/117.29     (P11(f3(a1),f7(f3(a1)))),
% 116.90/117.29     inference(equality_inference,[],[2181])).
% 116.90/117.29  cnf(2183,plain,
% 116.90/117.29     (P11(f3(a1),x21831)+~E(f7(f3(a1)),x21831)),
% 116.90/117.29     inference(scs_inference,[],[2182,25])).
% 116.90/117.29  cnf(2186,plain,
% 116.90/117.29     (~E(f7(f3(a1)),x21861)+~P10(f7(x21861),f3(a1))),
% 116.90/117.29     inference(scs_inference,[],[2182,25,860,866])).
% 116.90/117.29  cnf(2192,plain,
% 116.90/117.29     (P11(x21921,f7(f3(a1)))+~E(f3(a1),x21921)),
% 116.90/117.29     inference(scs_inference,[],[2182,24])).
% 116.90/117.29  cnf(2201,plain,
% 116.90/117.29     (~P10(f7(f7(f3(a1))),x22011)+~E(x22011,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[2041,947])).
% 116.90/117.29  cnf(2227,plain,
% 116.90/117.29     (~P10(f7(f7(f3(a1))),x22271)+~E(x22271,f3(a1))),
% 116.90/117.29     inference(scs_inference,[],[2181,867])).
% 116.90/117.29  cnf(2249,plain,
% 116.90/117.29     (~E(x22491,f3(f2(f3(a1))))+~E(f7(f3(a1)),x22491)),
% 116.90/117.29     inference(scs_inference,[],[767,427,3])).
% 116.90/117.29  cnf(2252,plain,
% 116.90/117.29     (~E(f7(f3(a1)),x22521)+~P9(x22521,f7(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[1655,434,22])).
% 116.90/117.29  cnf(2294,plain,
% 116.90/117.29     (P9(f3(f2(f3(a1))),x22941)+~E(f2(f3(f2(f3(a1)))),x22941)),
% 116.90/117.29     inference(scs_inference,[],[762,572,23])).
% 116.90/117.29  cnf(2301,plain,
% 116.90/117.29     (P12(f7(f2(f3(a1))),f2(f7(f2(f3(a1)))))),
% 116.90/117.29     inference(scs_inference,[],[762,623,50])).
% 116.90/117.29  cnf(2304,plain,
% 116.90/117.29     (P9(f7(f2(f3(a1))),x23041)+~E(f2(f7(f2(f3(a1)))),x23041)),
% 116.90/117.29     inference(scs_inference,[],[762,623,23])).
% 116.90/117.29  cnf(2306,plain,
% 116.90/117.29     (~E(x23061,f3(a1))+~E(f7(a1),f7(x23061))),
% 116.90/117.29     inference(scs_inference,[],[653,6])).
% 116.90/117.29  cnf(2314,plain,
% 116.90/117.29     (~P9(x23141,f7(a1))+~P9(x23141,f7(f3(f2(f3(a1)))))),
% 116.90/117.29     inference(scs_inference,[],[762,657,52])).
% 116.90/117.29  cnf(2315,plain,
% 116.90/117.29     (~P10(f7(a1),x23151)+~P9(x23151,f7(f3(a1)))),
% 116.90/117.29     inference(scs_inference,[],[660,46])).
% 116.90/117.29  cnf(2316,plain,
% 116.90/117.29     (~P10(f7(f3(a1)),x23161)+~P10(f7(a1),x23161)),
% 116.90/117.29     inference(scs_inference,[],[2315,46])).
% 116.90/117.29  cnf(2331,plain,
% 116.90/117.29     (P10(x23311,f7(f3(f2(f3(a1)))))+~E(f3(f2(f3(a1))),x23311)),
% 116.90/117.29     inference(scs_inference,[],[762,701,17])).
% 116.90/117.29  cnf(2337,plain,
% 116.90/117.29     (~P10(f7(x23371),f3(a1))+~E(f3(a1),x23371)),
% 116.90/117.29     inference(scs_inference,[],[807,46])).
% 116.90/117.29  cnf(2647,plain,
% 116.90/117.29     (P12(f7(a1),a1)),
% 116.90/117.29     inference(scs_inference,[],[368,50])).
% 116.90/117.29  cnf(2649,plain,
% 116.90/117.29     (P11(a1,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[368,50,48])).
% 116.90/117.29  cnf(2656,plain,
% 116.90/117.29     (P4(f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[28,2649,44])).
% 116.90/117.29  cnf(2664,plain,
% 116.90/117.29     (~E(f7(a1),x26641)+P4(x26641)),
% 116.90/117.29     inference(scs_inference,[],[2656,21])).
% 116.90/117.29  cnf(2668,plain,
% 116.90/117.29     (~P9(x26681,f7(a1))+~E(x26681,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[406,22])).
% 116.90/117.29  cnf(2676,plain,
% 116.90/117.29     (~P10(f7(a1),x26761)+~E(x26761,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[409,18])).
% 116.90/117.29  cnf(2692,plain,
% 116.90/117.29     (~P10(f7(a1),x26921)+~E(x26921,f3(a1))),
% 116.90/117.29     inference(scs_inference,[],[404,18])).
% 116.90/117.29  cnf(2704,plain,
% 116.90/117.29     (~E(f7(a1),x27041)+P5(f7(x27041))),
% 116.90/117.29     inference(scs_inference,[],[2664,36])).
% 116.90/117.29  cnf(2705,plain,
% 116.90/117.29     (P5(f7(f7(a1)))),
% 116.90/117.29     inference(equality_inference,[],[2704])).
% 116.90/117.29  cnf(2707,plain,
% 116.90/117.29     (P4(x27071)+~E(x27071,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[2664,2])).
% 116.90/117.29  cnf(2709,plain,
% 116.90/117.29     (~E(f7(a1),x27091)+P10(x27091,f7(x27091))),
% 116.90/117.29     inference(scs_inference,[],[2664,42])).
% 116.90/117.29  cnf(2710,plain,
% 116.90/117.29     (P10(f7(a1),f7(f7(a1)))),
% 116.90/117.29     inference(equality_inference,[],[2709])).
% 116.90/117.29  cnf(2711,plain,
% 116.90/117.29     (P4(f7(x27111))+~E(a1,x27111)),
% 116.90/117.29     inference(scs_inference,[],[2664,6])).
% 116.90/117.29  cnf(2713,plain,
% 116.90/117.29     (P4(f7(x27131))+~E(x27131,a1)),
% 116.90/117.29     inference(scs_inference,[],[2664,276])).
% 116.90/117.29  cnf(2715,plain,
% 116.90/117.29     (~E(x27151,f7(a1))+P5(f7(x27151))),
% 116.90/117.29     inference(scs_inference,[],[2707,36])).
% 116.90/117.29  cnf(2718,plain,
% 116.90/117.29     (~E(x27181,f7(a1))+P10(x27181,f7(x27181))),
% 116.90/117.29     inference(scs_inference,[],[2707,42])).
% 116.90/117.29  cnf(2721,plain,
% 116.90/117.29     (~E(a1,x27211)+P5(f7(f7(x27211)))),
% 116.90/117.29     inference(scs_inference,[],[2711,36])).
% 116.90/117.29  cnf(2725,plain,
% 116.90/117.29     (~E(f7(x27251),x27252)+P4(x27252)+~E(a1,x27251)),
% 116.90/117.29     inference(scs_inference,[],[2711,21])).
% 116.90/117.29  cnf(2726,plain,
% 116.90/117.29     (~E(f7(x27261),x27262)+~E(a1,x27261)+P5(f7(x27262))),
% 116.90/117.29     inference(scs_inference,[],[2725,36])).
% 116.90/117.29  cnf(2727,plain,
% 116.90/117.29     (P3(f7(x27271))+~E(f7(x27272),x27271)+~E(a1,x27272)),
% 116.90/117.29     inference(scs_inference,[],[2726,31])).
% 116.90/117.29  cnf(2728,plain,
% 116.90/117.29     (~E(f7(x27281),x27282)+~P8(f7(x27282),x27283)+~E(a1,x27281)),
% 116.90/117.29     inference(scs_inference,[],[2727,43])).
% 116.90/117.29  cnf(2730,plain,
% 116.90/117.29     (~E(f7(x27301),x27302)+~P6(f7(x27302))+~E(a1,x27301)),
% 116.90/117.29     inference(scs_inference,[],[2728,39])).
% 116.90/117.29  cnf(2731,plain,
% 116.90/117.29     (~E(f7(x27311),x27312)+~P1(f7(x27312))+~E(a1,x27311)),
% 116.90/117.29     inference(scs_inference,[],[2730,32])).
% 116.90/117.29  cnf(2733,plain,
% 116.90/117.29     (~E(a1,f7(x27331))+~E(f7(x27332),x27331)+~E(a1,x27332)),
% 116.90/117.29     inference(scs_inference,[],[28,2731,10])).
% 116.90/117.29  cnf(2734,plain,
% 116.90/117.29     (~E(f7(a1),x27341)+~E(a1,f7(x27341))),
% 116.90/117.29     inference(scs_inference,[],[368,2733,52])).
% 116.90/117.29  cnf(2735,plain,
% 116.90/117.29     (~E(x27351,f7(a1))+~E(a1,f7(x27351))),
% 116.90/117.29     inference(scs_inference,[],[2734,2])).
% 116.90/117.29  cnf(2736,plain,
% 116.90/117.29     (~E(x27361,a1)+~E(a1,f7(f7(x27361)))),
% 116.90/117.29     inference(scs_inference,[],[2735,6])).
% 116.90/117.29  cnf(2742,plain,
% 116.90/117.29     (~E(f7(x27421),x27422)+P4(x27422)+~E(x27421,a1)),
% 116.90/117.29     inference(scs_inference,[],[2713,21])).
% 116.90/117.29  cnf(2744,plain,
% 116.90/117.29     (~E(f7(x27441),x27442)+~E(x27441,a1)+P5(f7(x27442))),
% 116.90/117.29     inference(scs_inference,[],[2742,36])).
% 116.90/117.29  cnf(2745,plain,
% 116.90/117.29     (P3(f7(x27451))+~E(f7(x27452),x27451)+~E(x27452,a1)),
% 116.90/117.29     inference(scs_inference,[],[2744,31])).
% 116.90/117.29  cnf(2746,plain,
% 116.90/117.29     (~E(f7(x27461),x27462)+~P8(f7(x27462),x27463)+~E(x27461,a1)),
% 116.90/117.29     inference(scs_inference,[],[2745,43])).
% 116.90/117.29  cnf(2747,plain,
% 116.90/117.29     (~E(f7(x27471),x27472)+~P6(f7(x27472))+~E(x27471,a1)),
% 116.90/117.29     inference(scs_inference,[],[2746,39])).
% 116.90/117.29  cnf(2748,plain,
% 116.90/117.29     (~E(f7(x27481),x27482)+~P1(f7(x27482))+~E(x27481,a1)),
% 116.90/117.29     inference(scs_inference,[],[2747,32])).
% 116.90/117.29  cnf(2749,plain,
% 116.90/117.29     (~E(a1,f7(x27491))+~E(f7(x27492),x27491)+~E(x27492,a1)),
% 116.90/117.29     inference(scs_inference,[],[28,2748,10])).
% 116.90/117.29  cnf(2750,plain,
% 116.90/117.29     (~P9(f7(a1),f7(x27501))+~E(f7(x27502),x27501)+~E(x27502,a1)),
% 116.90/117.29     inference(scs_inference,[],[368,2749,52])).
% 116.90/117.29  cnf(2752,plain,
% 116.90/117.29     (~E(f7(a1),x27521)+~P9(f7(a1),f7(x27521))),
% 116.90/117.29     inference(scs_inference,[],[368,2750,52])).
% 116.90/117.29  cnf(2753,plain,
% 116.90/117.29     (~P9(f7(a1),f7(f7(a1)))),
% 116.90/117.29     inference(equality_inference,[],[2752])).
% 116.90/117.29  cnf(2804,plain,
% 116.90/117.29     (~E(f7(a1),x28041)+P6(f2(f7(x28041)))),
% 116.90/117.29     inference(scs_inference,[],[2704,34])).
% 116.90/117.29  cnf(2805,plain,
% 116.90/117.29     (P6(f2(f7(f7(a1))))),
% 116.90/117.29     inference(equality_inference,[],[2804])).
% 116.90/117.29  cnf(2809,plain,
% 116.90/117.29     (~P8(f7(x28091),x28092)+~E(f7(a1),x28091)),
% 116.90/117.29     inference(scs_inference,[],[2704,57])).
% 116.90/117.29  cnf(2810,plain,
% 116.90/117.29     (~P8(f7(f7(a1)),x28101)),
% 116.90/117.29     inference(equality_inference,[],[2809])).
% 116.90/117.29  cnf(2811,plain,
% 116.90/117.29     (~E(f7(x28111),a1)+~E(f7(a1),x28111)),
% 116.90/117.29     inference(scs_inference,[],[197,2704,15])).
% 116.90/117.29  cnf(2813,plain,
% 116.90/117.29     (~E(x28131,f7(a1))+~E(f7(x28131),a1)),
% 116.90/117.29     inference(scs_inference,[],[2811,2])).
% 116.90/117.29  cnf(2815,plain,
% 116.90/117.29     (P3(f7(x28151))+~E(x28151,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[2715,31])).
% 116.90/117.29  cnf(2817,plain,
% 116.90/117.29     (~E(x28171,f7(a1))+P6(f2(f7(x28171)))),
% 116.90/117.29     inference(scs_inference,[],[2715,34])).
% 116.90/117.29  cnf(2879,plain,
% 116.90/117.29     (~E(x28791,a1)+~P9(f7(x28791),f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[2668,6])).
% 116.90/117.29  cnf(2885,plain,
% 116.90/117.29     (~E(f7(a1),x28851)+~P10(f7(a1),x28851)),
% 116.90/117.29     inference(scs_inference,[],[2676,2])).
% 116.90/117.29  cnf(2896,plain,
% 116.90/117.29     (~E(f3(a1),x28961)+~P10(f7(a1),x28961)),
% 116.90/117.29     inference(scs_inference,[],[2692,2])).
% 116.90/117.29  cnf(2898,plain,
% 116.90/117.29     (~E(f7(f7(a1)),f3(a1))),
% 116.90/117.29     inference(scs_inference,[],[2656,2692,42])).
% 116.90/117.29  cnf(2909,plain,
% 116.90/117.29     (P9(f7(x29091),x29091)+~E(f7(a1),x29091)),
% 116.90/117.29     inference(scs_inference,[],[2709,46])).
% 116.90/117.29  cnf(2910,plain,
% 116.90/117.29     (P9(f7(f7(a1)),f7(a1))),
% 116.90/117.29     inference(equality_inference,[],[2909])).
% 116.90/117.29  cnf(2911,plain,
% 116.90/117.29     (~E(f7(a1),f7(f7(a1)))),
% 116.90/117.29     inference(scs_inference,[],[2709,2885])).
% 116.90/117.29  cnf(2917,plain,
% 116.90/117.29     (P9(f7(x29171),x29171)+~E(x29171,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[2718,46])).
% 116.90/117.29  cnf(2929,plain,
% 116.90/117.29     (~P9(f7(a1),f7(x29291))+~E(x29291,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[368,2735,52])).
% 116.90/117.29  cnf(2932,plain,
% 116.90/117.29     (~P6(f7(x29321))+~E(f7(a1),x29321)),
% 116.90/117.29     inference(scs_inference,[],[2809,39])).
% 116.90/117.29  cnf(2933,plain,
% 116.90/117.29     (~P6(f7(f7(a1)))),
% 116.90/117.29     inference(equality_inference,[],[2932])).
% 116.90/117.29  cnf(2934,plain,
% 116.90/117.29     (~P1(f7(x29341))+~E(f7(a1),x29341)),
% 116.90/117.29     inference(scs_inference,[],[2932,32])).
% 116.90/117.29  cnf(2935,plain,
% 116.90/117.29     (~P1(f7(f7(a1)))),
% 116.90/117.29     inference(equality_inference,[],[2934])).
% 116.90/117.29  cnf(2936,plain,
% 116.90/117.29     (~E(x29361,f7(a1))+~P6(f7(x29361))),
% 116.90/117.29     inference(scs_inference,[],[2932,2])).
% 116.90/117.29  cnf(2943,plain,
% 116.90/117.29     (~E(x29431,f7(a1))+~P1(f7(x29431))),
% 116.90/117.29     inference(scs_inference,[],[2934,2])).
% 116.90/117.29  cnf(2959,plain,
% 116.90/117.29     (~P10(f7(a1),x29591)+~E(x29591,x29592)+~E(f7(a1),x29592)),
% 116.90/117.29     inference(scs_inference,[],[2885,18])).
% 116.90/117.29  cnf(2966,plain,
% 116.90/117.29     (~P10(f7(a1),x29661)+~E(x29661,x29662)+~E(f3(a1),x29662)),
% 116.90/117.29     inference(scs_inference,[],[2896,18])).
% 116.90/117.29  cnf(2967,plain,
% 116.90/117.29     (~E(f7(f7(a1)),x29671)+~E(f3(a1),x29671)),
% 116.90/117.29     inference(scs_inference,[],[2656,2966,42])).
% 116.90/117.29  cnf(2981,plain,
% 116.90/117.29     (P12(f7(x29811),x29811)+~E(f7(a1),x29811)),
% 116.90/117.29     inference(scs_inference,[],[2909,50])).
% 116.90/117.29  cnf(2982,plain,
% 116.90/117.29     (P12(f7(f7(a1)),f7(a1))),
% 116.90/117.29     inference(equality_inference,[],[2981])).
% 116.90/117.29  cnf(2985,plain,
% 116.90/117.29     (~E(x29851,a1)+P9(f7(f7(x29851)),f7(x29851))),
% 116.90/117.29     inference(scs_inference,[],[2909,276])).
% 116.90/117.29  cnf(2987,plain,
% 116.90/117.29     (~P9(f7(f7(a1)),a1)),
% 116.90/117.29     inference(scs_inference,[],[166,2909,52])).
% 116.90/117.29  cnf(2990,plain,
% 116.90/117.29     (P12(f7(x29901),x29901)+~E(x29901,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[2917,50])).
% 116.90/117.29  cnf(2992,plain,
% 116.90/117.29     (P11(x29921,f7(x29921))+~E(f7(a1),x29921)),
% 116.90/117.29     inference(scs_inference,[],[2981,48])).
% 116.90/117.29  cnf(2993,plain,
% 116.90/117.29     (P11(f7(a1),f7(f7(a1)))),
% 116.90/117.29     inference(equality_inference,[],[2992])).
% 116.90/117.29  cnf(2994,plain,
% 116.90/117.29     (P12(f7(f7(x29941)),f7(x29941))+~E(a1,x29941)),
% 116.90/117.29     inference(scs_inference,[],[2981,6])).
% 116.90/117.29  cnf(3003,plain,
% 116.90/117.29     (P11(f7(x30031),f7(f7(x30031)))+~E(a1,x30031)),
% 116.90/117.29     inference(scs_inference,[],[2992,6])).
% 116.90/117.29  cnf(3018,plain,
% 116.90/117.29     (~E(f7(x30181),f7(a1))+~E(x30181,f3(a1))),
% 116.90/117.29     inference(scs_inference,[],[2306,2])).
% 116.90/117.29  cnf(3026,plain,
% 116.90/117.29     (~P10(f7(x30261),x30262)+~E(x30262,f3(a1))+~E(f3(a1),x30261)),
% 116.90/117.29     inference(scs_inference,[],[2337,18])).
% 116.90/117.29  cnf(3027,plain,
% 116.90/117.29     (~P9(x30271,f7(x30272))+~E(f3(a1),x30272)+~E(x30271,f3(a1))),
% 116.90/117.29     inference(scs_inference,[],[3026,47])).
% 116.90/117.29  cnf(3039,plain,
% 116.90/117.29     (~P10(f7(x30391),f7(a1))+~E(f7(a1),x30391)),
% 116.90/117.29     inference(scs_inference,[],[2752,46])).
% 116.90/117.29  cnf(3046,plain,
% 116.90/117.29     (~P10(f7(x30461),f7(a1))+~E(x30461,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[2929,46])).
% 116.90/117.29  cnf(3050,plain,
% 116.90/117.29     (~E(x30501,f7(a1))+~E(f7(x30502),x30501)+~E(x30502,f3(a1))),
% 116.90/117.29     inference(scs_inference,[],[3018,3])).
% 116.90/117.29  cnf(3051,plain,
% 116.90/117.29     (~E(x30511,f7(x30512))+~E(x30512,f3(a1))+~E(x30511,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[3050,2])).
% 116.90/117.29  cnf(3058,plain,
% 116.90/117.29     (~P10(f7(x30581),x30582)+~E(x30582,f7(a1))+~E(f7(a1),x30581)),
% 116.90/117.29     inference(scs_inference,[],[3039,18])).
% 116.90/117.29  cnf(3059,plain,
% 116.90/117.29     (~P9(x30591,f7(x30592))+~E(f7(a1),x30592)+~E(x30591,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[3058,47])).
% 116.90/117.29  cnf(3115,plain,
% 116.90/117.29     (~E(f7(x31151),a1)+~E(x31152,x31151)+~E(a1,x31152)),
% 116.90/117.29     inference(scs_inference,[],[333,14,615])).
% 116.90/117.29  cnf(3116,plain,
% 116.90/117.29     (~E(x31161,x31162)+~P9(f7(a1),f7(x31162))+~E(a1,x31161)),
% 116.90/117.29     inference(scs_inference,[],[368,3115,52])).
% 116.90/117.29  cnf(3118,plain,
% 116.90/117.29     (~E(x31181,x31182)+~E(a1,f7(x31182))+~E(a1,x31181)),
% 116.90/117.29     inference(scs_inference,[],[368,3116,23])).
% 116.90/117.29  cnf(3121,plain,
% 116.90/117.29     (~E(f7(x31211),a1)+~E(f3(x31212),x31211)+~E(a1,x31212)),
% 116.90/117.29     inference(scs_inference,[],[333,14,706])).
% 116.90/117.29  cnf(3122,plain,
% 116.90/117.29     (~E(f3(x31221),x31222)+~P9(f7(a1),f7(x31222))+~E(a1,x31221)),
% 116.90/117.29     inference(scs_inference,[],[368,3121,52])).
% 116.90/117.29  cnf(3123,plain,
% 116.90/117.29     (~E(f3(a1),x31231)+~P9(f7(a1),f7(x31231))),
% 116.90/117.29     inference(scs_inference,[],[368,3122,52])).
% 116.90/117.29  cnf(3126,plain,
% 116.90/117.29     (~P10(f7(x31261),f7(a1))+~E(f3(a1),x31261)),
% 116.90/117.29     inference(scs_inference,[],[3123,46])).
% 116.90/117.29  cnf(3137,plain,
% 116.90/117.29     (~P10(f7(x31371),x31372)+~E(x31372,f7(a1))+~E(f3(a1),x31371)),
% 116.90/117.29     inference(scs_inference,[],[3126,18])).
% 116.90/117.29  cnf(3138,plain,
% 116.90/117.29     (~P9(x31381,f7(x31382))+~E(f3(a1),x31382)+~E(x31381,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[3137,47])).
% 116.90/117.29  cnf(3170,plain,
% 116.90/117.29     (P12(x31701,a1)+~E(f7(a1),x31701)),
% 116.90/117.29     inference(scs_inference,[],[2649,19,49])).
% 116.90/117.29  cnf(3173,plain,
% 116.90/117.29     (~E(x31731,f7(a1))+P12(x31731,a1)),
% 116.90/117.29     inference(scs_inference,[],[3170,2])).
% 116.90/117.29  cnf(3175,plain,
% 116.90/117.29     (P11(a1,x31751)+~E(f7(a1),x31751)),
% 116.90/117.29     inference(scs_inference,[],[3170,48])).
% 116.90/117.29  cnf(3177,plain,
% 116.90/117.29     (~E(a1,x31771)+P12(f7(x31771),a1)),
% 116.90/117.29     inference(scs_inference,[],[3170,6])).
% 116.90/117.29  cnf(3189,plain,
% 116.90/117.29     (~E(x31891,a1)+P11(a1,f7(x31891))),
% 116.90/117.29     inference(scs_inference,[],[3175,276])).
% 116.90/117.29  cnf(3194,plain,
% 116.90/117.29     (P12(f7(x31941),x31942)+~E(a1,x31942)+~E(a1,x31941)),
% 116.90/117.29     inference(scs_inference,[],[3177,20])).
% 116.90/117.29  cnf(3195,plain,
% 116.90/117.29     (P12(f7(a1),x31951)+~E(a1,x31951)),
% 116.90/117.29     inference(scs_inference,[],[368,3194,52])).
% 116.90/117.29  cnf(3197,plain,
% 116.90/117.29     (~P12(x31971,f7(x31972))+P12(x31971,a1)+~E(a1,x31972)),
% 116.90/117.29     inference(scs_inference,[],[3177,54])).
% 116.90/117.29  cnf(3198,plain,
% 116.90/117.29     (~P12(x31981,f7(a1))+P12(x31981,a1)),
% 116.90/117.29     inference(equality_inference,[],[3197])).
% 116.90/117.29  cnf(3216,plain,
% 116.90/117.29     (P11(x32161,f7(a1))+~E(a1,x32161)),
% 116.90/117.29     inference(scs_inference,[],[3195,48])).
% 116.90/117.29  cnf(3218,plain,
% 116.90/117.29     (P11(a1,x32181)+~P12(x32181,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[3198,48])).
% 116.90/117.29  cnf(3223,plain,
% 116.90/117.29     (~P9(x32231,f7(a1))+P12(x32231,a1)),
% 116.90/117.29     inference(scs_inference,[],[3198,50])).
% 116.90/117.29  cnf(3224,plain,
% 116.90/117.29     (~P10(f7(a1),x32241)+P12(x32241,a1)),
% 116.90/117.29     inference(scs_inference,[],[3223,46])).
% 116.90/117.29  cnf(3246,plain,
% 116.90/117.29     (P5(f7(x32461))+~P12(x32461,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[3218,64])).
% 116.90/117.29  cnf(3247,plain,
% 116.90/117.29     (P3(f7(x32471))+~P12(x32471,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[3246,31])).
% 116.90/117.29  cnf(3249,plain,
% 116.90/117.29     (~P8(f7(x32491),x32492)+~P12(x32491,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[3247,43])).
% 116.90/117.29  cnf(3250,plain,
% 116.90/117.29     (~P6(f7(x32501))+~P12(x32501,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[3249,39])).
% 116.90/117.29  cnf(3252,plain,
% 116.90/117.29     (~P1(f7(x32521))+~P12(x32521,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[3250,32])).
% 116.90/117.29  cnf(3253,plain,
% 116.90/117.29     (~E(a1,f7(x32531))+~P12(x32531,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[28,3252,10])).
% 116.90/117.29  cnf(3260,plain,
% 116.90/117.29     (P4(x32601)+~P12(x32601,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[28,3218,44])).
% 116.90/117.29  cnf(3262,plain,
% 116.90/117.29     (~P12(x32621,f7(a1))+P10(x32621,f7(x32621))),
% 116.90/117.29     inference(scs_inference,[],[3260,42])).
% 116.90/117.29  cnf(3263,plain,
% 116.90/117.29     (P9(f7(x32631),x32631)+~P12(x32631,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[3262,46])).
% 116.90/117.29  cnf(3264,plain,
% 116.90/117.29     (P12(f7(x32641),x32641)+~P12(x32641,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[3263,50])).
% 116.90/117.29  cnf(3267,plain,
% 116.90/117.29     (P4(x32671)+~P11(f7(a1),x32671)),
% 116.90/117.29     inference(scs_inference,[],[3260,49])).
% 116.90/117.29  cnf(3269,plain,
% 116.90/117.29     (~P11(f7(a1),x32691)+P5(f7(x32691))),
% 116.90/117.29     inference(scs_inference,[],[3267,36])).
% 116.90/117.29  cnf(3270,plain,
% 116.90/117.29     (P3(f7(x32701))+~P11(f7(a1),x32701)),
% 116.90/117.29     inference(scs_inference,[],[3269,31])).
% 116.90/117.29  cnf(3272,plain,
% 116.90/117.29     (~P8(f7(x32721),x32722)+~P11(f7(a1),x32721)),
% 116.90/117.29     inference(scs_inference,[],[3270,43])).
% 116.90/117.29  cnf(3273,plain,
% 116.90/117.29     (~P6(f7(x32731))+~P11(f7(a1),x32731)),
% 116.90/117.29     inference(scs_inference,[],[3272,39])).
% 116.90/117.29  cnf(3276,plain,
% 116.90/117.29     (P4(x32761)+~P9(x32761,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[3260,50])).
% 116.90/117.29  cnf(3303,plain,
% 116.90/117.29     (P4(x33031)+~P10(f7(a1),x33031)),
% 116.90/117.29     inference(scs_inference,[],[3276,46])).
% 116.90/117.29  cnf(3320,plain,
% 116.90/117.29     (~P10(f7(a1),x33201)+P10(x33201,f7(x33201))),
% 116.90/117.29     inference(scs_inference,[],[3303,42])).
% 116.90/117.29  cnf(3322,plain,
% 116.90/117.29     (P9(f7(x33221),x33221)+~P10(f7(a1),x33221)),
% 116.90/117.29     inference(scs_inference,[],[3320,46])).
% 116.90/117.29  cnf(3323,plain,
% 116.90/117.29     (P12(f7(x33231),x33231)+~P10(f7(a1),x33231)),
% 116.90/117.29     inference(scs_inference,[],[3322,50])).
% 116.90/117.29  cnf(3324,plain,
% 116.90/117.29     (P11(x33241,f7(x33241))+~P10(f7(a1),x33241)),
% 116.90/117.29     inference(scs_inference,[],[3323,48])).
% 116.90/117.29  cnf(3325,plain,
% 116.90/117.29     (P11(f7(f7(a1)),f7(f7(f7(a1))))),
% 116.90/117.29     inference(scs_inference,[],[2656,3324,42])).
% 116.90/117.29  cnf(3342,plain,
% 116.90/117.29     (P5(f7(f7(f7(a1))))),
% 116.90/117.29     inference(scs_inference,[],[3246,2981])).
% 116.90/117.29  cnf(3343,plain,
% 116.90/117.29     (~E(f7(x33431),a1)+~P12(x33431,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[197,3246,15])).
% 116.90/117.29  cnf(3395,plain,
% 116.90/117.29     (~P9(f3(a1),f7(x33951))+~P12(x33951,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[347,3253,52])).
% 116.90/117.29  cnf(3397,plain,
% 116.90/117.29     (~P11(f7(a1),x33971)+~P9(f3(a1),f7(x33971))),
% 116.90/117.29     inference(scs_inference,[],[3395,49])).
% 116.90/117.29  cnf(3399,plain,
% 116.90/117.29     (~P10(f7(x33991),f3(a1))+~P11(f7(a1),x33991)),
% 116.90/117.29     inference(scs_inference,[],[3397,46])).
% 116.90/117.29  cnf(3404,plain,
% 116.90/117.29     (~P9(f7(a1),f7(x34041))+~P12(x34041,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[368,3253,52])).
% 116.90/117.29  cnf(3405,plain,
% 116.90/117.29     (~P11(f7(a1),x34051)+~P9(f7(a1),f7(x34051))),
% 116.90/117.29     inference(scs_inference,[],[3404,49])).
% 116.90/117.29  cnf(3407,plain,
% 116.90/117.29     (~P10(f7(x34071),f7(a1))+~P11(f7(a1),x34071)),
% 116.90/117.29     inference(scs_inference,[],[3405,46])).
% 116.90/117.29  cnf(3426,plain,
% 116.90/117.29     (P10(f7(f7(a1)),f7(f7(f7(a1))))),
% 116.90/117.29     inference(scs_inference,[],[3262,2981])).
% 116.90/117.29  cnf(3442,plain,
% 116.90/117.29     (P9(f7(f7(f7(a1))),f7(f7(a1)))),
% 116.90/117.29     inference(scs_inference,[],[3263,2981])).
% 116.90/117.29  cnf(3458,plain,
% 116.90/117.29     (P12(f7(f7(f7(a1))),f7(f7(a1)))),
% 116.90/117.29     inference(scs_inference,[],[3264,2981])).
% 116.90/117.29  cnf(3590,plain,
% 116.90/117.29     (~P9(f3(a1),f7(f7(f7(a1))))),
% 116.90/117.29     inference(scs_inference,[],[3395,2981])).
% 116.90/117.29  cnf(3611,plain,
% 116.90/117.29     (~P10(f7(x36111),x36112)+~E(x36112,f3(a1))+~P11(f7(a1),x36111)),
% 116.90/117.29     inference(scs_inference,[],[3399,18])).
% 116.90/117.29  cnf(3660,plain,
% 116.90/117.29     (~P10(f7(x36601),x36602)+~E(x36602,f7(a1))+~P11(f7(a1),x36601)),
% 116.90/117.29     inference(scs_inference,[],[3407,18])).
% 116.90/117.29  cnf(3722,plain,
% 116.90/117.29     (P12(x37221,x37222)+~E(f7(x37222),x37221)+~E(f3(a1),x37222)),
% 116.90/117.29     inference(scs_inference,[],[19,2041])).
% 116.90/117.29  cnf(3731,plain,
% 116.90/117.29     (P12(x37311,x37312)+~E(f7(x37312),x37311)+~E(f7(a1),x37312)),
% 116.90/117.29     inference(scs_inference,[],[19,2981])).
% 116.90/117.29  cnf(3768,plain,
% 116.90/117.29     (P12(f7(x37681),x37682)+~E(x37681,x37682)+~P12(x37681,f3(a1))),
% 116.90/117.29     inference(scs_inference,[],[20,819])).
% 116.90/117.29  cnf(3790,plain,
% 116.90/117.29     (P12(f7(x37901),x37902)+~E(x37901,x37902)+~E(f7(a1),x37901)),
% 116.90/117.29     inference(scs_inference,[],[20,2981])).
% 116.90/117.29  cnf(3797,plain,
% 116.90/117.29     (P12(f7(x37971),x37972)+~E(x37971,x37972)+~E(x37971,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[20,2990])).
% 116.90/117.29  cnf(3798,plain,
% 116.90/117.29     (~E(x37981,f7(a1))+P12(f7(x37981),a1)),
% 116.90/117.29     inference(scs_inference,[],[2647,3797,54])).
% 116.90/117.29  cnf(3800,plain,
% 116.90/117.29     (~E(f7(a1),x38001)+P12(f7(x38001),a1)),
% 116.90/117.29     inference(scs_inference,[],[3798,2])).
% 116.90/117.29  cnf(3802,plain,
% 116.90/117.29     (P11(a1,f7(x38021))+~E(x38021,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[3798,48])).
% 116.90/117.29  cnf(3804,plain,
% 116.90/117.29     (~E(x38041,a1)+P12(f7(f7(x38041)),a1)),
% 116.90/117.29     inference(scs_inference,[],[3798,6])).
% 116.90/117.29  cnf(3810,plain,
% 116.90/117.29     (P12(f7(x38101),x38102)+~E(a1,x38102)+~E(x38101,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[3798,20])).
% 116.90/117.29  cnf(3816,plain,
% 116.90/117.29     (~P12(x38161,f7(x38162))+P12(x38161,a1)+~E(f7(a1),x38162)),
% 116.90/117.29     inference(scs_inference,[],[3800,54])).
% 116.90/117.29  cnf(3817,plain,
% 116.90/117.29     (~P12(x38171,f7(f7(a1)))+P12(x38171,a1)),
% 116.90/117.29     inference(equality_inference,[],[3816])).
% 116.90/117.29  cnf(3828,plain,
% 116.90/117.29     (P4(f7(x38281))+~E(x38281,f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[28,3802,44])).
% 116.90/117.29  cnf(3848,plain,
% 116.90/117.29     (~E(a1,x38481)+P4(f7(f7(x38481)))),
% 116.90/117.29     inference(scs_inference,[],[3828,276])).
% 116.90/117.29  cnf(3869,plain,
% 116.90/117.29     (P12(f7(a1),x38691)+~E(x38692,x38691)+~E(a1,x38692)),
% 116.90/117.29     inference(scs_inference,[],[20,3195])).
% 116.90/117.29  cnf(3876,plain,
% 116.90/117.29     (P12(x38761,x38762)+~E(a1,x38762)+~P10(f7(a1),x38761)),
% 116.90/117.29     inference(scs_inference,[],[20,3224])).
% 116.90/117.29  cnf(3949,plain,
% 116.90/117.29     (~E(x39491,x39492)+~P6(f7(x39492))+~E(a1,x39491)),
% 116.90/117.29     inference(scs_inference,[],[616,39])).
% 116.90/117.29  cnf(3950,plain,
% 116.90/117.29     (~E(x39501,x39502)+~P1(f7(x39502))+~E(a1,x39501)),
% 116.90/117.29     inference(scs_inference,[],[3949,32])).
% 116.90/117.29  cnf(3994,plain,
% 116.90/117.29     (~E(x39941,x39942)+~P9(f3(a1),f7(x39942))+~E(a1,x39941)),
% 116.90/117.29     inference(scs_inference,[],[347,3115,52])).
% 116.90/117.29  cnf(4002,plain,
% 116.90/117.29     (P11(a1,x40021)+~P12(x40021,f7(x40022))+~E(a1,x40022)),
% 116.90/117.29     inference(scs_inference,[],[3197,48])).
% 116.90/117.29  cnf(4098,plain,
% 116.90/117.29     (P12(f7(f7(a1)),x40981)+~E(a1,x40981)),
% 116.90/117.29     inference(scs_inference,[],[2656,3876,42])).
% 116.90/117.29  cnf(4223,plain,
% 116.90/117.29     (P12(f7(f7(f7(f3(a1)))),f7(f7(f3(a1))))),
% 116.90/117.29     inference(scs_inference,[],[1105,1139,1085,1392,1402,3342,1677,1698,3458,1724,337,767,762,34,40,2707,1952,2721,2815,2936,2943,3173,3189,3848,4,5,7,2718,751,1526,1930,1932,1966,1970,2676,2692,2736,2813,2879,3804,3817,4098,1954,1956,1968,1972,1974])).
% 116.90/117.29  cnf(4227,plain,
% 116.90/117.29     (P9(f7(f7(f2(f3(a1)))),f7(f2(f3(a1))))),
% 116.90/117.29     inference(scs_inference,[],[1105,1139,1085,1392,1402,3342,1677,1698,3458,1724,337,767,762,34,40,2707,1952,2721,2815,2936,2943,3173,3189,3848,4,5,7,2718,751,1526,1930,1932,1966,1970,2676,2692,2736,2813,2879,3804,3817,4098,1954,1956,1968,1972,1974,2020,2985])).
% 116.90/117.29  cnf(4243,plain,
% 116.90/117.29     (P12(f7(f7(f3(a1))),f3(a1))),
% 116.90/117.29     inference(scs_inference,[],[1105,1139,1085,1392,1402,3342,1677,1698,3458,336,1567,1724,337,1049,767,762,34,40,2707,1952,2721,2815,2936,2943,3173,3189,3848,4,5,7,2718,751,1526,1930,1932,1966,1970,2676,2692,2736,2813,2879,3804,3817,4098,1954,1956,1968,1972,1974,2020,2985,2994,3003,194,420,434,469,1939,1941,2055])).
% 116.90/117.29  cnf(4307,plain,
% 116.90/117.29     (E(f7(a1),f7(f2(f3(a1))))),
% 116.90/117.29     inference(scs_inference,[],[2910,2710,1105,1139,976,1085,1392,1402,3342,1677,1698,3458,336,1567,1724,337,1111,1049,1132,767,762,34,40,2707,1952,2721,2815,2936,2943,3173,3189,3848,4,5,7,2718,751,1526,1930,1932,1966,1970,2676,2692,2736,2813,2879,3804,3817,4098,1954,1956,1968,1972,1974,2020,2985,2994,3003,194,420,434,469,1939,1941,2055,2172,2183,2192,2315,2316,2337,2929,2967,3046,3123,3126,1541,1543,1548,1656,1658,1943,2015,2165,2186,2201,2227,1389,1934,1936,2151,2153,2314,2294,2304,2331,1385,1387,36,49,6])).
% 116.90/117.29  cnf(4404,plain,
% 116.90/117.29     (~P9(f7(f2(f3(a1))),f7(f7(a1)))),
% 116.90/117.29     inference(scs_inference,[],[408,2910,2898,2710,2993,2753,2911,2810,2987,2705,2933,1661,1105,1139,976,1085,1392,1402,172,576,2805,3342,1677,1698,3442,3458,1143,1121,336,1567,1724,337,338,1111,1142,1039,1049,171,2301,1132,770,769,2182,2042,767,762,34,40,2707,1952,2721,2815,2936,2943,3173,3189,3848,4,5,7,2718,751,1526,1930,1932,1966,1970,2676,2692,2736,2813,2879,3804,3817,4098,1954,1956,1968,1972,1974,2020,2985,2994,3003,194,420,434,469,1939,1941,2055,2172,2183,2192,2315,2316,2337,2929,2967,3046,3123,3126,1541,1543,1548,1656,1658,1943,2015,2165,2186,2201,2227,1389,1934,1936,2151,2153,2314,2294,2304,2331,1385,1387,36,49,6,99,65,31,39,48,50,43,37,258,185,82,47,57,2,46,3949,3950,3115,3118,3194,3869,4002,3722,3731,3768,3790,2959,3116,3810,3994,662,947,3026,3027,3051,3058,3059,3137,3138,3611,3660,2168,473,615,501,16,3,433,616,15,14,52,23,24,17,26,19,22])).
% 116.90/117.29  cnf(4408,plain,
% 116.90/117.29     (P11(f2(f3(a1)),f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[408,2910,2898,2710,2993,2753,2911,2810,2987,2705,2933,1661,963,1105,1139,976,1085,1392,1402,172,576,2805,3342,1677,1698,3442,3458,1143,1121,336,1567,1724,337,338,1111,1142,1039,1049,171,2301,1132,770,769,2182,2042,767,762,34,40,2707,1952,2721,2815,2936,2943,3173,3189,3848,4,5,7,2718,751,1526,1930,1932,1966,1970,2676,2692,2736,2813,2879,3804,3817,4098,1954,1956,1968,1972,1974,2020,2985,2994,3003,194,420,434,469,1939,1941,2055,2172,2183,2192,2315,2316,2337,2929,2967,3046,3123,3126,1541,1543,1548,1656,1658,1943,2015,2165,2186,2201,2227,1389,1934,1936,2151,2153,2314,2294,2304,2331,1385,1387,36,49,6,99,65,31,39,48,50,43,37,258,185,82,47,57,2,46,3949,3950,3115,3118,3194,3869,4002,3722,3731,3768,3790,2959,3116,3810,3994,662,947,3026,3027,3051,3058,3059,3137,3138,3611,3660,2168,473,615,501,16,3,433,616,15,14,52,23,24,17,26,19,22,18,157,3195,3216])).
% 116.90/117.29  cnf(4422,plain,
% 116.90/117.29     (~P10(f7(f7(f7(f3(a1)))),f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[408,2910,2898,2710,2993,2753,2911,2810,2987,2705,2933,1661,963,1105,1139,976,1085,1392,1402,172,576,2805,3342,1677,1698,3442,3458,1143,1121,336,1567,1724,337,338,1111,1142,1039,1049,171,2301,1132,770,769,2182,2042,767,762,34,40,2707,1952,2721,2815,2936,2943,3173,3189,3848,4,5,7,2718,751,1526,1930,1932,1966,1970,2676,2692,2736,2813,2879,3804,3817,4098,1954,1956,1968,1972,1974,2020,2985,2994,3003,194,420,434,469,1939,1941,2055,2172,2183,2192,2315,2316,2337,2929,2967,3046,3123,3126,1541,1543,1548,1656,1658,1943,2015,2165,2186,2201,2227,1389,1934,1936,2151,2153,2314,2294,2304,2331,1385,1387,36,49,6,99,65,31,39,48,50,43,37,258,185,82,47,57,2,46,3949,3950,3115,3118,3194,3869,4002,3722,3731,3768,3790,2959,3116,3810,3994,662,947,3026,3027,3051,3058,3059,3137,3138,3611,3660,2168,473,615,501,16,3,433,616,15,14,52,23,24,17,26,19,22,18,157,3195,3216,3252,3273,3272,2817,3343,944,946])).
% 116.90/117.29  cnf(4448,plain,
% 116.90/117.29     (~E(f3(a1),f2(f7(f3(a1))))),
% 116.90/117.29     inference(scs_inference,[],[408,2910,2898,2710,2993,2753,2911,2810,2987,2705,2933,1661,963,1105,1139,976,1085,1392,1402,172,576,2805,3342,1677,1698,3442,3458,1143,1121,336,1567,1724,337,338,1111,1142,1039,1049,171,2301,1132,770,769,2182,2042,767,762,34,40,2707,1952,2721,2815,2936,2943,3173,3189,3848,4,5,7,2718,751,1526,1930,1932,1966,1970,2676,2692,2736,2813,2879,3804,3817,4098,1954,1956,1968,1972,1974,2020,2985,2994,3003,194,420,434,469,1939,1941,2055,2172,2183,2192,2315,2316,2337,2929,2967,3046,3123,3126,1541,1543,1548,1656,1658,1943,2015,2165,2186,2201,2227,1389,1934,1936,2151,2153,2314,2294,2304,2331,1385,1387,36,49,6,99,65,31,39,48,50,43,37,258,185,82,47,57,2,46,3949,3950,3115,3118,3194,3869,4002,3722,3731,3768,3790,2959,3116,3810,3994,662,947,3026,3027,3051,3058,3059,3137,3138,3611,3660,2168,473,615,501,16,3,433,616,15,14,52,23,24,17,26,19,22,18,157,3195,3216,3252,3273,3272,2817,3343,944,946,3395,3399,3404,2071,2075,2252,1390,1880,2170,2249,1384,1388,1386,331])).
% 116.90/117.29  cnf(4459,plain,
% 116.90/117.29     (P12(f7(f7(f7(a1))),f7(a1))),
% 116.90/117.29     inference(scs_inference,[],[408,2982,2910,2898,2710,2993,2753,2911,2810,2987,2705,2933,2935,1661,963,1105,1139,976,1085,1392,1402,172,576,2805,3342,1677,1698,3442,3458,1143,1121,336,1567,1724,337,338,1111,1142,1039,1049,171,2301,1132,770,769,2182,768,2042,104,767,762,34,40,2707,1952,2721,2815,2936,2943,3173,3189,3848,4,5,7,2718,751,1526,1930,1932,1966,1970,2676,2692,2736,2813,2879,3804,3817,4098,1954,1956,1968,1972,1974,2020,2985,2994,3003,194,420,434,469,1939,1941,2055,2172,2183,2192,2315,2316,2337,2929,2967,3046,3123,3126,1541,1543,1548,1656,1658,1943,2015,2165,2186,2201,2227,1389,1934,1936,2151,2153,2314,2294,2304,2331,1385,1387,36,49,6,99,65,31,39,48,50,43,37,258,185,82,47,57,2,46,3949,3950,3115,3118,3194,3869,4002,3722,3731,3768,3790,2959,3116,3810,3994,662,947,3026,3027,3051,3058,3059,3137,3138,3611,3660,2168,473,615,501,16,3,433,616,15,14,52,23,24,17,26,19,22,18,157,3195,3216,3252,3273,3272,2817,3343,944,946,3395,3399,3404,2071,2075,2252,1390,1880,2170,2249,1384,1388,1386,331,87,161,45,613,614,10,54])).
% 116.90/117.29  cnf(4468,plain,
% 116.90/117.29     (~P6(f7(f7(f7(f7(a1)))))),
% 116.90/117.29     inference(scs_inference,[],[408,2982,2910,2898,2710,2993,2753,2911,2810,2987,2705,2933,2935,1661,963,1105,1139,976,1085,1392,1402,172,576,2805,3342,1677,1698,3442,3458,1143,1121,336,1567,1724,337,338,1111,1142,1039,1049,171,2301,1132,770,769,2182,768,2042,104,767,762,34,40,2707,1952,2721,2815,2936,2943,3173,3189,3848,4,5,7,2718,751,1526,1930,1932,1966,1970,2676,2692,2736,2813,2879,3804,3817,4098,1954,1956,1968,1972,1974,2020,2985,2994,3003,194,420,434,469,1939,1941,2055,2172,2183,2192,2315,2316,2337,2929,2967,3046,3123,3126,1541,1543,1548,1656,1658,1943,2015,2165,2186,2201,2227,1389,1934,1936,2151,2153,2314,2294,2304,2331,1385,1387,36,49,6,99,65,31,39,48,50,43,37,258,185,82,47,57,2,46,3949,3950,3115,3118,3194,3869,4002,3722,3731,3768,3790,2959,3116,3810,3994,662,947,3026,3027,3051,3058,3059,3137,3138,3611,3660,2168,473,615,501,16,3,433,616,15,14,52,23,24,17,26,19,22,18,157,3195,3216,3252,3273,3272,2817,3343,944,946,3395,3399,3404,2071,2075,2252,1390,1880,2170,2249,1384,1388,1386,331,87,161,45,613,614,10,54,25,3260,3218,3246,3250])).
% 116.90/117.29  cnf(4528,plain,
% 116.90/117.29     ($false),
% 116.90/117.29     inference(scs_inference,[],[762,1655,1139,1049,768,1698,1132,337,1142,336,3458,2910,234,3442,338,2753,2987,4307,4227,3426,4408,3325,4243,4459,4223,4448,1662,4404,3590,4422,4468,46,32,2,185,47,82,942,2304,3343,3395,3404,341,345,3262,3264,3247,661,18,20,22,19,26,17,25,24,54,23,10,52]),
% 116.90/117.29     ['proof']).
% 116.90/117.29  % SZS output end Proof
% 116.90/117.29  % Total time :116.200000s
%------------------------------------------------------------------------------