TSTP Solution File: NUM377+1.010 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : NUM377+1.010 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Aug 22 10:51:22 EDT 2023

% Result   : Unsatisfiable 34.47s 18.78s
% Output   : CNFRefutation 35.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   37
% Syntax   : Number of formulae    : 1901 (1743 unt;  36 typ;   0 def)
%            Number of atoms       : 2747 (2625 equ)
%            Maximal formula atoms :  250 (   1 avg)
%            Number of connectives :  971 (  89   ~; 662   |; 220   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  244 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    4 (   3   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   36 (  36 usr;  33 con; 0-2 aty)
%            Number of variables   :   22 (;   0   !;  22   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ sum > #nlpp > succ > pred > n9 > n8 > n7 > n6 > n5 > n4 > n3 > n2 > n10 > n1 > n0 > #skF_20 > #skF_18 > #skF_17 > #skF_11 > #skF_15 > #skF_19 > #skF_7 > #skF_10 > #skF_16 > #skF_14 > #skF_5 > #skF_6 > #skF_13 > #skF_2 > #skF_3 > #skF_1 > #skF_21 > #skF_9 > #skF_8 > #skF_4 > #skF_22 > #skF_12

%Foreground sorts:

%Background operators:

%Foreground operators:
tff('#skF_20',type,
    '#skF_20': $i ).

tff('#skF_18',type,
    '#skF_18': $i ).

tff('#skF_17',type,
    '#skF_17': $i ).

tff('#skF_11',type,
    '#skF_11': $i ).

tff('#skF_15',type,
    '#skF_15': $i ).

tff(n8,type,
    n8: $i ).

tff('#skF_19',type,
    '#skF_19': $i ).

tff(n9,type,
    n9: $i ).

tff('#skF_7',type,
    '#skF_7': $i ).

tff(n3,type,
    n3: $i ).

tff('#skF_10',type,
    '#skF_10': $i ).

tff('#skF_16',type,
    '#skF_16': $i ).

tff(n1,type,
    n1: $i ).

tff('#skF_14',type,
    '#skF_14': $i ).

tff('#skF_5',type,
    '#skF_5': $i ).

tff(n7,type,
    n7: $i ).

tff('#skF_6',type,
    '#skF_6': $i ).

tff('#skF_13',type,
    '#skF_13': $i ).

tff('#skF_2',type,
    '#skF_2': $i ).

tff(n6,type,
    n6: $i ).

tff('#skF_3',type,
    '#skF_3': $i ).

tff('#skF_1',type,
    '#skF_1': $i ).

tff(n0,type,
    n0: $i ).

tff(sum,type,
    sum: ( $i * $i ) > $i ).

tff('#skF_21',type,
    '#skF_21': $i ).

tff('#skF_9',type,
    '#skF_9': $i ).

tff(n4,type,
    n4: $i ).

tff(n10,type,
    n10: $i ).

tff('#skF_8',type,
    '#skF_8': $i ).

tff('#skF_4',type,
    '#skF_4': $i ).

tff('#skF_22',type,
    '#skF_22': $i ).

tff(n2,type,
    n2: $i ).

tff(n5,type,
    n5: $i ).

tff(succ,type,
    succ: $i > $i ).

tff(pred,type,
    pred: $i > $i ).

tff('#skF_12',type,
    '#skF_12': $i ).

tff(f_590,axiom,
    ? [X0,Y0,X1,Y1,X2,Y2,X3,Y3,X4,Y4,X5,Y5,X6,Y6,X7,Y7,X8,Y8,X9,Y9,X10,Y10] :
      ( ( succ(n0) = n1 )
      & ( succ(n1) = n2 )
      & ( succ(n2) = n3 )
      & ( succ(n3) = n4 )
      & ( succ(n4) = n5 )
      & ( succ(n5) = n6 )
      & ( succ(n6) = n7 )
      & ( succ(n7) = n8 )
      & ( succ(n8) = n9 )
      & ( succ(n9) = n10 )
      & ( succ(n10) = n0 )
      & ( pred(n0) = n10 )
      & ( pred(n1) = n0 )
      & ( pred(n2) = n1 )
      & ( pred(n3) = n2 )
      & ( pred(n4) = n3 )
      & ( pred(n5) = n4 )
      & ( pred(n6) = n5 )
      & ( pred(n7) = n6 )
      & ( pred(n8) = n7 )
      & ( pred(n9) = n8 )
      & ( pred(n10) = n9 )
      & ( sum(n0,n0) = n0 )
      & ( sum(n0,n1) = n1 )
      & ( sum(n0,n2) = n2 )
      & ( sum(n0,n3) = n3 )
      & ( sum(n0,n4) = n4 )
      & ( sum(n0,n5) = n5 )
      & ( sum(n0,n6) = n6 )
      & ( sum(n0,n7) = n7 )
      & ( sum(n0,n8) = n8 )
      & ( sum(n0,n9) = n9 )
      & ( sum(n0,n10) = n10 )
      & ( sum(n1,n0) = n1 )
      & ( sum(n1,n1) = n2 )
      & ( sum(n1,n2) = n3 )
      & ( sum(n1,n3) = n4 )
      & ( sum(n1,n4) = n5 )
      & ( sum(n1,n5) = n6 )
      & ( sum(n1,n6) = n7 )
      & ( sum(n1,n7) = n8 )
      & ( sum(n1,n8) = n9 )
      & ( sum(n1,n9) = n10 )
      & ( sum(n1,n10) = n0 )
      & ( sum(n2,n0) = n2 )
      & ( sum(n2,n1) = n3 )
      & ( sum(n2,n2) = n4 )
      & ( sum(n2,n3) = n5 )
      & ( sum(n2,n4) = n6 )
      & ( sum(n2,n5) = n7 )
      & ( sum(n2,n6) = n8 )
      & ( sum(n2,n7) = n9 )
      & ( sum(n2,n8) = n10 )
      & ( sum(n2,n9) = n0 )
      & ( sum(n2,n10) = n1 )
      & ( sum(n3,n0) = n3 )
      & ( sum(n3,n1) = n4 )
      & ( sum(n3,n2) = n5 )
      & ( sum(n3,n3) = n6 )
      & ( sum(n3,n4) = n7 )
      & ( sum(n3,n5) = n8 )
      & ( sum(n3,n6) = n9 )
      & ( sum(n3,n7) = n10 )
      & ( sum(n3,n8) = n0 )
      & ( sum(n3,n9) = n1 )
      & ( sum(n3,n10) = n2 )
      & ( sum(n4,n0) = n4 )
      & ( sum(n4,n1) = n5 )
      & ( sum(n4,n2) = n6 )
      & ( sum(n4,n3) = n7 )
      & ( sum(n4,n4) = n8 )
      & ( sum(n4,n5) = n9 )
      & ( sum(n4,n6) = n10 )
      & ( sum(n4,n7) = n0 )
      & ( sum(n4,n8) = n1 )
      & ( sum(n4,n9) = n2 )
      & ( sum(n4,n10) = n3 )
      & ( sum(n5,n0) = n5 )
      & ( sum(n5,n1) = n6 )
      & ( sum(n5,n2) = n7 )
      & ( sum(n5,n3) = n8 )
      & ( sum(n5,n4) = n9 )
      & ( sum(n5,n5) = n10 )
      & ( sum(n5,n6) = n0 )
      & ( sum(n5,n7) = n1 )
      & ( sum(n5,n8) = n2 )
      & ( sum(n5,n9) = n3 )
      & ( sum(n5,n10) = n4 )
      & ( sum(n6,n0) = n6 )
      & ( sum(n6,n1) = n7 )
      & ( sum(n6,n2) = n8 )
      & ( sum(n6,n3) = n9 )
      & ( sum(n6,n4) = n10 )
      & ( sum(n6,n5) = n0 )
      & ( sum(n6,n6) = n1 )
      & ( sum(n6,n7) = n2 )
      & ( sum(n6,n8) = n3 )
      & ( sum(n6,n9) = n4 )
      & ( sum(n6,n10) = n5 )
      & ( sum(n7,n0) = n7 )
      & ( sum(n7,n1) = n8 )
      & ( sum(n7,n2) = n9 )
      & ( sum(n7,n3) = n10 )
      & ( sum(n7,n4) = n0 )
      & ( sum(n7,n5) = n1 )
      & ( sum(n7,n6) = n2 )
      & ( sum(n7,n7) = n3 )
      & ( sum(n7,n8) = n4 )
      & ( sum(n7,n9) = n5 )
      & ( sum(n7,n10) = n6 )
      & ( sum(n8,n0) = n8 )
      & ( sum(n8,n1) = n9 )
      & ( sum(n8,n2) = n10 )
      & ( sum(n8,n3) = n0 )
      & ( sum(n8,n4) = n1 )
      & ( sum(n8,n5) = n2 )
      & ( sum(n8,n6) = n3 )
      & ( sum(n8,n7) = n4 )
      & ( sum(n8,n8) = n5 )
      & ( sum(n8,n9) = n6 )
      & ( sum(n8,n10) = n7 )
      & ( sum(n9,n0) = n9 )
      & ( sum(n9,n1) = n10 )
      & ( sum(n9,n2) = n0 )
      & ( sum(n9,n3) = n1 )
      & ( sum(n9,n4) = n2 )
      & ( sum(n9,n5) = n3 )
      & ( sum(n9,n6) = n4 )
      & ( sum(n9,n7) = n5 )
      & ( sum(n9,n8) = n6 )
      & ( sum(n9,n9) = n7 )
      & ( sum(n9,n10) = n8 )
      & ( sum(n10,n0) = n10 )
      & ( sum(n10,n1) = n0 )
      & ( sum(n10,n2) = n1 )
      & ( sum(n10,n3) = n2 )
      & ( sum(n10,n4) = n3 )
      & ( sum(n10,n5) = n4 )
      & ( sum(n10,n6) = n5 )
      & ( sum(n10,n7) = n6 )
      & ( sum(n10,n8) = n7 )
      & ( sum(n10,n9) = n8 )
      & ( sum(n10,n10) = n9 )
      & ( ( X0 = n0 )
        | ( X0 = n1 )
        | ( X0 = n2 )
        | ( X0 = n3 )
        | ( X0 = n4 )
        | ( X0 = n5 )
        | ( X0 = n6 )
        | ( X0 = n7 )
        | ( X0 = n8 )
        | ( X0 = n9 )
        | ( X0 = n10 ) )
      & ( ( Y0 = n0 )
        | ( Y0 = n1 )
        | ( Y0 = n2 )
        | ( Y0 = n3 )
        | ( Y0 = n4 )
        | ( Y0 = n5 )
        | ( Y0 = n6 )
        | ( Y0 = n7 )
        | ( Y0 = n8 )
        | ( Y0 = n9 )
        | ( Y0 = n10 ) )
      & ( X1 = sum(sum(pred(X0),succ(Y0)),sum(pred(Y0),succ(X0))) )
      & ( Y1 = sum(sum(pred(X0),succ(X0)),sum(pred(Y0),succ(Y0))) )
      & ( X2 = sum(sum(pred(X1),succ(Y1)),sum(pred(Y1),succ(X1))) )
      & ( Y2 = sum(sum(pred(X1),succ(X1)),sum(pred(Y1),succ(Y1))) )
      & ( X3 = sum(sum(pred(X2),succ(Y2)),sum(pred(Y2),succ(X2))) )
      & ( Y3 = sum(sum(pred(X2),succ(X2)),sum(pred(Y2),succ(Y2))) )
      & ( X4 = sum(sum(pred(X3),succ(Y3)),sum(pred(Y3),succ(X3))) )
      & ( Y4 = sum(sum(pred(X3),succ(X3)),sum(pred(Y3),succ(Y3))) )
      & ( X5 = sum(sum(pred(X4),succ(Y4)),sum(pred(Y4),succ(X4))) )
      & ( Y5 = sum(sum(pred(X4),succ(X4)),sum(pred(Y4),succ(Y4))) )
      & ( X6 = sum(sum(pred(X5),succ(Y5)),sum(pred(Y5),succ(X5))) )
      & ( Y6 = sum(sum(pred(X5),succ(X5)),sum(pred(Y5),succ(Y5))) )
      & ( X7 = sum(sum(pred(X6),succ(Y6)),sum(pred(Y6),succ(X6))) )
      & ( Y7 = sum(sum(pred(X6),succ(X6)),sum(pred(Y6),succ(Y6))) )
      & ( X8 = sum(sum(pred(X7),succ(Y7)),sum(pred(Y7),succ(X7))) )
      & ( Y8 = sum(sum(pred(X7),succ(X7)),sum(pred(Y7),succ(Y7))) )
      & ( X9 = sum(sum(pred(X8),succ(Y8)),sum(pred(Y8),succ(X8))) )
      & ( Y9 = sum(sum(pred(X8),succ(X8)),sum(pred(Y8),succ(Y8))) )
      & ( X10 = sum(sum(pred(X9),succ(Y9)),sum(pred(Y9),succ(X9))) )
      & ( Y10 = sum(sum(pred(X9),succ(X9)),sum(pred(Y9),succ(Y9))) )
      & ( ( X1 != Y1 )
        | ( X2 != Y2 )
        | ( X3 != Y3 )
        | ( X4 != Y4 )
        | ( X5 != Y5 )
        | ( X6 != Y6 )
        | ( X7 != Y7 )
        | ( X8 != Y8 )
        | ( X9 != Y9 )
        | ( X10 != Y10 ) )
      & ( n0 != n1 )
      & ( n0 != n2 )
      & ( n0 != n3 )
      & ( n0 != n4 )
      & ( n0 != n5 )
      & ( n0 != n6 )
      & ( n0 != n7 )
      & ( n0 != n8 )
      & ( n0 != n9 )
      & ( n0 != n10 )
      & ( n1 != n2 )
      & ( n1 != n3 )
      & ( n1 != n4 )
      & ( n1 != n5 )
      & ( n1 != n6 )
      & ( n1 != n7 )
      & ( n1 != n8 )
      & ( n1 != n9 )
      & ( n1 != n10 )
      & ( n2 != n3 )
      & ( n2 != n4 )
      & ( n2 != n5 )
      & ( n2 != n6 )
      & ( n2 != n7 )
      & ( n2 != n8 )
      & ( n2 != n9 )
      & ( n2 != n10 )
      & ( n3 != n4 )
      & ( n3 != n5 )
      & ( n3 != n6 )
      & ( n3 != n7 )
      & ( n3 != n8 )
      & ( n3 != n9 )
      & ( n3 != n10 )
      & ( n4 != n5 )
      & ( n4 != n6 )
      & ( n4 != n7 )
      & ( n4 != n8 )
      & ( n4 != n9 )
      & ( n4 != n10 )
      & ( n5 != n6 )
      & ( n5 != n7 )
      & ( n5 != n8 )
      & ( n5 != n9 )
      & ( n5 != n10 )
      & ( n6 != n7 )
      & ( n6 != n8 )
      & ( n6 != n9 )
      & ( n6 != n10 )
      & ( n7 != n8 )
      & ( n7 != n9 )
      & ( n7 != n10 )
      & ( n8 != n9 )
      & ( n8 != n10 )
      & ( n9 != n10 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',try_satisfy_this) ).

tff(c_112,plain,
    ( ( '#skF_21' != '#skF_22' )
    | ( '#skF_20' != '#skF_19' )
    | ( '#skF_18' != '#skF_17' )
    | ( '#skF_15' != '#skF_16' )
    | ( '#skF_14' != '#skF_13' )
    | ( '#skF_11' != '#skF_12' )
    | ( '#skF_10' != '#skF_9' )
    | ( '#skF_7' != '#skF_8' )
    | ( '#skF_5' != '#skF_6' )
    | ( '#skF_3' != '#skF_4' ) ),
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1095,plain,
    '#skF_3' != '#skF_4',
    inference(splitLeft,[status(thm)],[c_112]) ).

tff(c_158,plain,
    sum(n10,n10) = n9,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_298,plain,
    sum(n4,n6) = n10,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_356,plain,
    sum(n1,n10) = n0,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_176,plain,
    sum(n10,n1) = n0,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_162,plain,
    sum(n10,n8) = n7,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_172,plain,
    sum(n10,n3) = n2,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_370,plain,
    sum(n1,n3) = n4,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_182,plain,
    sum(n9,n9) = n7,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_340,plain,
    sum(n2,n7) = n9,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_350,plain,
    sum(n2,n2) = n4,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_232,plain,
    sum(n7,n6) = n2,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_170,plain,
    sum(n10,n4) = n3,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_206,plain,
    sum(n8,n8) = n5,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_362,plain,
    sum(n1,n7) = n8,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_254,plain,
    sum(n6,n6) = n1,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_326,plain,
    sum(n3,n3) = n6,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_258,plain,
    sum(n6,n4) = n10,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_164,plain,
    sum(n10,n7) = n6,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_302,plain,
    sum(n4,n4) = n8,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_208,plain,
    sum(n8,n7) = n4,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_278,plain,
    sum(n5,n5) = n10,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_374,plain,
    sum(n1,n1) = n2,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_214,plain,
    sum(n8,n4) = n1,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_274,plain,
    sum(n5,n7) = n1,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_154,plain,
    ( ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n3 = '#skF_2' )
    | ( n2 = '#skF_2' )
    | ( n1 = '#skF_2' )
    | ( n0 = '#skF_2' ) ),
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1096,plain,
    n0 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_154]) ).

tff(c_178,plain,
    sum(n10,n0) = n10,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1113,plain,
    sum(n10,'#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_1096,c_178]) ).

tff(c_376,plain,
    sum(n1,n0) = n1,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1126,plain,
    sum(n1,'#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_1096,c_376]) ).

tff(c_222,plain,
    sum(n8,n0) = n8,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1109,plain,
    sum(n8,'#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_1096,c_222]) ).

tff(c_322,plain,
    sum(n3,n5) = n8,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_332,plain,
    sum(n3,n0) = n3,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1106,plain,
    sum(n3,'#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_1096,c_332]) ).

tff(c_250,plain,
    sum(n6,n8) = n3,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_266,plain,
    sum(n6,n0) = n6,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1105,plain,
    sum(n6,'#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_1096,c_266]) ).

tff(c_346,plain,
    sum(n2,n4) = n6,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_288,plain,
    sum(n5,n0) = n5,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1107,plain,
    sum(n5,'#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_1096,c_288]) ).

tff(c_226,plain,
    sum(n7,n9) = n5,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_310,plain,
    sum(n4,n0) = n4,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1103,plain,
    sum(n4,'#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_1096,c_310]) ).

tff(c_244,plain,
    sum(n7,n0) = n7,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1102,plain,
    sum(n7,'#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_1096,c_244]) ).

tff(c_202,plain,
    sum(n8,n10) = n7,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_354,plain,
    sum(n2,n0) = n2,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1097,plain,
    sum(n2,'#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_1096,c_354]) ).

tff(c_394,plain,
    sum(n0,n2) = n2,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1123,plain,
    sum('#skF_2',n2) = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_1096,c_394]) ).

tff(c_200,plain,
    sum(n9,n0) = n9,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1121,plain,
    sum(n9,'#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_1096,c_200]) ).

tff(c_156,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' )
    | ( n0 = '#skF_1' ) ),
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1146,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1096,c_156]) ).

tff(c_1147,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_1146]) ).

tff(c_398,plain,
    sum(n0,n0) = n0,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1124,plain,
    sum('#skF_2','#skF_2') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_1096,c_1096,c_1096,c_398]) ).

tff(c_1254,plain,
    sum('#skF_1','#skF_1') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_1147,c_1147,c_1147,c_1124]) ).

tff(c_1127,plain,
    sum(n10,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_1096,c_176]) ).

tff(c_1229,plain,
    sum(n10,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_1147,c_1127]) ).

tff(c_442,plain,
    succ(n0) = n1,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1129,plain,
    succ('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_1096,c_442]) ).

tff(c_1179,plain,
    succ('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_1147,c_1129]) ).

tff(c_420,plain,
    pred(n0) = n10,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1128,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_1096,c_420]) ).

tff(c_1169,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_1147,c_1128]) ).

tff(c_152,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),succ('#skF_1'))) = '#skF_3',
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1159,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_1'),succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_1147,c_1147,c_152]) ).

tff(c_1344,plain,
    '#skF_3' = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_1254,c_1229,c_1229,c_1179,c_1179,c_1169,c_1169,c_1159]) ).

tff(c_1345,plain,
    '#skF_1' != '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_1344,c_1095]) ).

tff(c_150,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),succ('#skF_2'))) = '#skF_4',
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1160,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_1'),succ('#skF_1'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_1147,c_1147,c_150]) ).

tff(c_1362,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_1254,c_1229,c_1229,c_1179,c_1179,c_1169,c_1169,c_1160]) ).

tff(c_1363,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1345,c_1362]) ).

tff(c_1364,plain,
    ( ( n1 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_1146]) ).

tff(c_1518,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_1364]) ).

tff(c_422,plain,
    succ(n10) = n0,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1130,plain,
    succ(n10) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_1096,c_422]) ).

tff(c_1525,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_1518,c_1130]) ).

tff(c_400,plain,
    pred(n10) = n9,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1553,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_1518,c_400]) ).

tff(c_1371,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n10,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_1128,c_150]) ).

tff(c_1513,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_1127,c_1129,c_1371]) ).

tff(c_1568,plain,
    sum(sum(n9,succ('#skF_1')),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_1553,c_1513]) ).

tff(c_1705,plain,
    n9 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_1121,c_1121,c_1525,c_1568]) ).

tff(c_1541,plain,
    sum('#skF_1','#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_1518,c_1518,c_158]) ).

tff(c_1709,plain,
    sum('#skF_1','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_1705,c_1541]) ).

tff(c_198,plain,
    sum(n9,n1) = n10,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1547,plain,
    sum(n9,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_1518,c_198]) ).

tff(c_1708,plain,
    sum('#skF_4',n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_1705,c_1547]) ).

tff(c_1712,plain,
    pred('#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_1705,c_1553]) ).

tff(c_1521,plain,
    sum('#skF_1','#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_1518,c_1518,c_1113]) ).

tff(c_1370,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n10,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_1128,c_152]) ).

tff(c_1508,plain,
    sum(sum(pred('#skF_1'),n1),sum(n10,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_1129,c_1370]) ).

tff(c_1519,plain,
    sum(sum(pred('#skF_1'),n1),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_1518,c_1508]) ).

tff(c_1892,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_1709,c_1708,c_1712,c_1521,c_1525,c_1519]) ).

tff(c_1893,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_1892]) ).

tff(c_1894,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_1364]) ).

tff(c_1896,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_1894]) ).

tff(c_418,plain,
    pred(n1) = n0,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1131,plain,
    pred(n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_1096,c_418]) ).

tff(c_1903,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_1896,c_1131]) ).

tff(c_440,plain,
    succ(n1) = n2,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1931,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_1896,c_440]) ).

tff(c_1950,plain,
    sum(sum(pred('#skF_1'),n2),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_1931,c_1513]) ).

tff(c_2083,plain,
    n2 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_1097,c_1123,c_1903,c_1950]) ).

tff(c_1914,plain,
    sum('#skF_1','#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_1896,c_1896,c_374]) ).

tff(c_2088,plain,
    sum('#skF_1','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2083,c_1914]) ).

tff(c_174,plain,
    sum(n10,n2) = n1,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1923,plain,
    sum(n10,n2) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_1896,c_174]) ).

tff(c_2085,plain,
    sum(n10,'#skF_4') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_2083,c_1923]) ).

tff(c_2089,plain,
    succ('#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2083,c_1931]) ).

tff(c_396,plain,
    sum(n0,n1) = n1,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_1111,plain,
    sum('#skF_2',n1) = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_1096,c_396]) ).

tff(c_1901,plain,
    sum('#skF_2','#skF_1') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_1896,c_1896,c_1111]) ).

tff(c_1897,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n10,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_1896,c_1508]) ).

tff(c_2270,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2088,c_2085,c_2089,c_1901,c_1903,c_1897]) ).

tff(c_2271,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_2270]) ).

tff(c_2272,plain,
    ( ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_1894]) ).

tff(c_2274,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_2272]) ).

tff(c_424,plain,
    succ(n9) = n10,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_2308,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_2274,c_424]) ).

tff(c_402,plain,
    pred(n9) = n8,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_2307,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_2274,c_402]) ).

tff(c_2323,plain,
    sum(sum(n8,succ('#skF_1')),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2307,c_1513]) ).

tff(c_2461,plain,
    n7 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_1102,c_202,c_2308,c_2323]) ).

tff(c_2285,plain,
    sum('#skF_1','#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_2274,c_2274,c_182]) ).

tff(c_2466,plain,
    sum('#skF_1','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2461,c_2285]) ).

tff(c_220,plain,
    sum(n8,n1) = n9,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_2283,plain,
    sum(n8,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_2274,c_220]) ).

tff(c_2293,plain,
    sum(n10,n10) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_2274,c_158]) ).

tff(c_2324,plain,
    sum(sum(n8,n1),sum(n10,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_2307,c_1508]) ).

tff(c_2648,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2466,c_2283,c_2293,c_2308,c_2324]) ).

tff(c_2649,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_2648]) ).

tff(c_2650,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_2272]) ).

tff(c_2652,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_2650]) ).

tff(c_416,plain,
    pred(n2) = n1,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_2686,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_2652,c_416]) ).

tff(c_438,plain,
    succ(n2) = n3,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_2685,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_2652,c_438]) ).

tff(c_2701,plain,
    sum(sum(pred('#skF_1'),n3),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2685,c_1513]) ).

tff(c_2839,plain,
    n4 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_1103,c_370,c_2686,c_2701]) ).

tff(c_2663,plain,
    sum('#skF_1','#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_2652,c_2652,c_350]) ).

tff(c_2841,plain,
    sum('#skF_1','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2839,c_2663]) ).

tff(c_2681,plain,
    sum(n10,n3) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_2652,c_172]) ).

tff(c_2669,plain,
    sum(n1,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_2652,c_374]) ).

tff(c_2702,plain,
    sum(sum(pred('#skF_1'),n1),sum(n10,n3)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_2685,c_1508]) ).

tff(c_3026,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2841,c_2681,c_2669,c_2686,c_2702]) ).

tff(c_3027,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_3026]) ).

tff(c_3028,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_2650]) ).

tff(c_3030,plain,
    n8 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_3028]) ).

tff(c_404,plain,
    pred(n8) = n7,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_3062,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_3030,c_404]) ).

tff(c_426,plain,
    succ(n8) = n9,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_3064,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_3030,c_426]) ).

tff(c_3079,plain,
    sum(sum(pred('#skF_1'),n9),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_3064,c_1513]) ).

tff(c_3217,plain,
    n5 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_1107,c_226,c_3062,c_3079]) ).

tff(c_3058,plain,
    sum('#skF_1','#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_3030,c_3030,c_206]) ).

tff(c_3219,plain,
    sum('#skF_1','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_3217,c_3058]) ).

tff(c_160,plain,
    sum(n10,n9) = n8,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_3038,plain,
    sum(n10,n9) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_3030,c_160]) ).

tff(c_242,plain,
    sum(n7,n1) = n8,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_3045,plain,
    sum(n7,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_3030,c_242]) ).

tff(c_3080,plain,
    sum(sum(pred('#skF_1'),n1),sum(n10,n9)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_3064,c_1508]) ).

tff(c_3404,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_3219,c_3038,c_3045,c_3062,c_3080]) ).

tff(c_3405,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_3404]) ).

tff(c_3406,plain,
    ( ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_3028]) ).

tff(c_3408,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_3406]) ).

tff(c_414,plain,
    pred(n3) = n2,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_3442,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_3408,c_414]) ).

tff(c_436,plain,
    succ(n3) = n4,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_3443,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_3408,c_436]) ).

tff(c_3461,plain,
    sum(sum(pred('#skF_1'),n4),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_3443,c_1513]) ).

tff(c_3595,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_1105,c_346,c_3442,c_3461]) ).

tff(c_3426,plain,
    sum('#skF_1','#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_3408,c_3408,c_326]) ).

tff(c_3600,plain,
    sum('#skF_1','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_3595,c_3426]) ).

tff(c_3432,plain,
    sum(n10,n4) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_3408,c_170]) ).

tff(c_352,plain,
    sum(n2,n1) = n3,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_3421,plain,
    sum(n2,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_3408,c_352]) ).

tff(c_3462,plain,
    sum(sum(pred('#skF_1'),n1),sum(n10,n4)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_3443,c_1508]) ).

tff(c_3787,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_3600,c_3432,c_3421,c_3442,c_3462]) ).

tff(c_3788,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_3787]) ).

tff(c_3789,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_3406]) ).

tff(c_3791,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_3789]) ).

tff(c_406,plain,
    pred(n7) = n6,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_3824,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_3791,c_406]) ).

tff(c_428,plain,
    succ(n7) = n8,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_3825,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_3791,c_428]) ).

tff(c_3840,plain,
    sum(sum(pred('#skF_1'),n8),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_3825,c_1513]) ).

tff(c_3978,plain,
    n3 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_1106,c_250,c_3824,c_3840]) ).

tff(c_230,plain,
    sum(n7,n7) = n3,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_3805,plain,
    sum('#skF_1','#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_3791,c_3791,c_230]) ).

tff(c_3983,plain,
    sum('#skF_1','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_3978,c_3805]) ).

tff(c_3811,plain,
    sum(n10,n8) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_3791,c_162]) ).

tff(c_264,plain,
    sum(n6,n1) = n7,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_3804,plain,
    sum(n6,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_3791,c_264]) ).

tff(c_3841,plain,
    sum(sum(pred('#skF_1'),n1),sum(n10,n8)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_3825,c_1508]) ).

tff(c_4165,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_3983,c_3811,c_3804,c_3824,c_3841]) ).

tff(c_4166,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_4165]) ).

tff(c_4167,plain,
    ( ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_3789]) ).

tff(c_4169,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_4167]) ).

tff(c_412,plain,
    pred(n4) = n3,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_4202,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_4169,c_412]) ).

tff(c_434,plain,
    succ(n4) = n5,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_4203,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_4169,c_434]) ).

tff(c_4222,plain,
    sum(sum(pred('#skF_1'),n5),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_4203,c_1513]) ).

tff(c_4356,plain,
    n8 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_1109,c_322,c_4202,c_4222]) ).

tff(c_4183,plain,
    sum('#skF_1','#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_4169,c_4169,c_302]) ).

tff(c_4361,plain,
    sum('#skF_1','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_4356,c_4183]) ).

tff(c_168,plain,
    sum(n10,n5) = n4,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_4191,plain,
    sum(n10,n5) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_4169,c_168]) ).

tff(c_330,plain,
    sum(n3,n1) = n4,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_4194,plain,
    sum(n3,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_4169,c_330]) ).

tff(c_4223,plain,
    sum(sum(pred('#skF_1'),n1),sum(n10,n5)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_4203,c_1508]) ).

tff(c_4543,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_4361,c_4191,c_4194,c_4202,c_4223]) ).

tff(c_4544,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_4543]) ).

tff(c_4545,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_4167]) ).

tff(c_4547,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_4545]) ).

tff(c_430,plain,
    succ(n6) = n7,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_4582,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_4547,c_430]) ).

tff(c_408,plain,
    pred(n6) = n5,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_4581,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_4547,c_408]) ).

tff(c_4604,plain,
    sum(sum(n5,succ('#skF_1')),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_4581,c_1513]) ).

tff(c_4734,plain,
    n1 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_1126,c_274,c_4582,c_4604]) ).

tff(c_4556,plain,
    sum('#skF_1','#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_4547,c_4547,c_254]) ).

tff(c_4739,plain,
    sum('#skF_1','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_4734,c_4556]) ).

tff(c_286,plain,
    sum(n5,n1) = n6,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_4557,plain,
    sum(n5,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_4547,c_286]) ).

tff(c_4737,plain,
    sum(n5,'#skF_4') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_4734,c_4557]) ).

tff(c_4553,plain,
    sum(n10,n7) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_4547,c_164]) ).

tff(c_4605,plain,
    sum(sum(n5,n1),sum(n10,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_4581,c_1508]) ).

tff(c_4921,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_4739,c_4737,c_4734,c_4553,c_4582,c_4605]) ).

tff(c_4922,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_4921]) ).

tff(c_4923,plain,
    n5 = '#skF_1',
    inference(splitRight,[status(thm)],[c_4545]) ).

tff(c_432,plain,
    succ(n5) = n6,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_4956,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_4923,c_432]) ).

tff(c_410,plain,
    pred(n5) = n4,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_4958,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_4923,c_410]) ).

tff(c_4977,plain,
    sum(sum(n4,succ('#skF_1')),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_4958,c_1513]) ).

tff(c_5111,plain,
    n10 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_1113,c_298,c_4956,c_4977]) ).

tff(c_4935,plain,
    sum('#skF_1','#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_4923,c_4923,c_278]) ).

tff(c_5113,plain,
    sum('#skF_1','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_5111,c_4935]) ).

tff(c_166,plain,
    sum(n10,n6) = n5,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_4945,plain,
    sum(n10,n6) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_4923,c_166]) ).

tff(c_5114,plain,
    sum('#skF_4',n6) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_5111,c_4945]) ).

tff(c_308,plain,
    sum(n4,n1) = n5,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_4932,plain,
    sum(n4,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_4923,c_308]) ).

tff(c_4978,plain,
    sum(sum(n4,n1),sum(n10,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_4958,c_1508]) ).

tff(c_5303,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_5113,c_5114,c_5111,c_4932,c_4956,c_4978]) ).

tff(c_5304,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_5303]) ).

tff(c_5305,plain,
    ( ( n1 = '#skF_2' )
    | ( n2 = '#skF_2' )
    | ( n3 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_154]) ).

tff(c_5307,plain,
    n10 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_5305]) ).

tff(c_5312,plain,
    sum('#skF_2',n9) = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_5307,c_160]) ).

tff(c_5311,plain,
    sum(n4,n6) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_5307,c_298]) ).

tff(c_358,plain,
    sum(n1,n9) = n10,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_5324,plain,
    sum(n1,n9) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_5307,c_358]) ).

tff(c_204,plain,
    sum(n8,n9) = n6,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_314,plain,
    sum(n3,n9) = n1,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_270,plain,
    sum(n5,n9) = n3,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_336,plain,
    sum(n2,n9) = n0,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_5356,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' )
    | ( n0 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5307,c_156]) ).

tff(c_5357,plain,
    n0 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_5356]) ).

tff(c_380,plain,
    sum(n0,n9) = n9,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_5372,plain,
    sum('#skF_1',n9) = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_5357,c_380]) ).

tff(c_5337,plain,
    sum('#skF_2',n1) = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_5307,c_176]) ).

tff(c_5599,plain,
    sum('#skF_2',n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_5357,c_5337]) ).

tff(c_5380,plain,
    sum(n9,'#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_5357,c_200]) ).

tff(c_5338,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_5307,c_400]) ).

tff(c_5341,plain,
    succ('#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_5307,c_422]) ).

tff(c_5420,plain,
    succ('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_5357,c_5341]) ).

tff(c_5339,plain,
    pred(n0) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_5307,c_420]) ).

tff(c_5415,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_5357,c_5339]) ).

tff(c_5386,plain,
    succ('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_5357,c_442]) ).

tff(c_5406,plain,
    sum(sum(pred('#skF_1'),n1),sum(pred('#skF_2'),succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_5386,c_150]) ).

tff(c_5661,plain,
    n9 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_5372,c_5599,c_5380,c_5338,c_5420,c_5415,c_5406]) ).

tff(c_5325,plain,
    sum('#skF_2','#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_5307,c_5307,c_158]) ).

tff(c_5668,plain,
    sum('#skF_2','#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_5661,c_5325]) ).

tff(c_5331,plain,
    sum(n9,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_5307,c_198]) ).

tff(c_5662,plain,
    sum('#skF_4',n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_5661,c_5331]) ).

tff(c_5671,plain,
    pred('#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_5661,c_5338]) ).

tff(c_5323,plain,
    sum('#skF_2',n0) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_5307,c_5307,c_178]) ).

tff(c_5569,plain,
    sum('#skF_2','#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_5357,c_5323]) ).

tff(c_5405,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),n1)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_5386,c_152]) ).

tff(c_5848,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_5668,c_5662,c_5671,c_5569,c_5420,c_5415,c_5405]) ).

tff(c_5849,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_5848]) ).

tff(c_5850,plain,
    ( ( n1 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_5356]) ).

tff(c_6000,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_5850]) ).

tff(c_6032,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_6000,c_5338]) ).

tff(c_6034,plain,
    succ('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_6000,c_5341]) ).

tff(c_5852,plain,
    sum(sum(pred('#skF_1'),n0),sum(pred('#skF_2'),succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_5341,c_152]) ).

tff(c_5990,plain,
    sum(sum(pred('#skF_1'),n0),sum(n9,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_5338,c_5852]) ).

tff(c_6059,plain,
    sum(sum(pred('#skF_1'),n0),sum(n9,n0)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_6034,c_5990]) ).

tff(c_6060,plain,
    sum(sum(pred('#skF_1'),n0),n9) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_200,c_6059]) ).

tff(c_6193,plain,
    n7 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_182,c_200,c_6032,c_6060]) ).

tff(c_6207,plain,
    sum(n9,n9) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_6193,c_182]) ).

tff(c_5853,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n0)) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_5341,c_150]) ).

tff(c_5995,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),n9) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_200,c_5338,c_5853]) ).

tff(c_6058,plain,
    sum(sum(pred('#skF_1'),n0),n9) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_6034,c_5995]) ).

tff(c_6380,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_6207,c_200,c_6032,c_6058]) ).

tff(c_6381,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_6380]) ).

tff(c_6382,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_5850]) ).

tff(c_6384,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_6382]) ).

tff(c_6416,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_6384,c_440]) ).

tff(c_6418,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_6384,c_418]) ).

tff(c_6433,plain,
    sum(sum(n0,succ('#skF_1')),n9) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_6418,c_5995]) ).

tff(c_6572,plain,
    n0 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_336,c_394,c_6416,c_6433]) ).

tff(c_6608,plain,
    sum('#skF_4','#skF_4') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_6572,c_6572,c_6572,c_398]) ).

tff(c_196,plain,
    sum(n9,n2) = n0,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_6601,plain,
    sum(n9,n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_6572,c_196]) ).

tff(c_6434,plain,
    sum(sum(n0,n0),sum(n9,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_6418,c_5990]) ).

tff(c_6435,plain,
    sum(n0,sum(n9,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_398,c_6434]) ).

tff(c_6764,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_6608,c_6601,c_6572,c_6416,c_6435]) ).

tff(c_6765,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_6764]) ).

tff(c_6766,plain,
    ( ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_6382]) ).

tff(c_6768,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_6766]) ).

tff(c_6780,plain,
    sum(n7,'#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_6768,c_226]) ).

tff(c_5333,plain,
    sum(n8,'#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_5307,c_202]) ).

tff(c_5340,plain,
    succ(n9) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_5307,c_424]) ).

tff(c_6777,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_6768,c_5340]) ).

tff(c_6804,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_6768,c_402]) ).

tff(c_6769,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_6768,c_5995]) ).

tff(c_6955,plain,
    n5 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_6780,c_5333,c_6777,c_6804,c_6769]) ).

tff(c_6985,plain,
    sum(n8,n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_6955,c_206]) ).

tff(c_180,plain,
    sum(n9,n10) = n8,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_5314,plain,
    sum(n9,'#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_5307,c_180]) ).

tff(c_6771,plain,
    sum('#skF_1','#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_6768,c_5314]) ).

tff(c_6770,plain,
    sum(sum(pred('#skF_1'),n0),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_6768,c_5990]) ).

tff(c_7142,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_6985,c_6771,c_6777,c_222,c_6804,c_6770]) ).

tff(c_7143,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_7142]) ).

tff(c_7144,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_6766]) ).

tff(c_7146,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_7144]) ).

tff(c_292,plain,
    sum(n4,n9) = n2,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_7161,plain,
    sum(n4,n9) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_7146,c_292]) ).

tff(c_7180,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_7146,c_416]) ).

tff(c_7179,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_7146,c_438]) ).

tff(c_7195,plain,
    sum(sum(pred('#skF_1'),n3),n9) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_7179,c_5995]) ).

tff(c_7334,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_7161,c_370,c_7180,c_7195]) ).

tff(c_7164,plain,
    sum(n1,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_7146,c_374]) ).

tff(c_7350,plain,
    sum(n1,n1) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_7334,c_7164]) ).

tff(c_7366,plain,
    pred('#skF_4') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_7334,c_7180]) ).

tff(c_194,plain,
    sum(n9,n3) = n1,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_7196,plain,
    sum(sum(pred('#skF_1'),n0),sum(n9,n3)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_7179,c_5990]) ).

tff(c_7197,plain,
    sum(sum(pred('#skF_1'),n0),n1) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_194,c_7196]) ).

tff(c_7536,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_7350,c_376,c_7366,c_7334,c_7197]) ).

tff(c_7537,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_7536]) ).

tff(c_7538,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_7144]) ).

tff(c_7540,plain,
    n8 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_7538]) ).

tff(c_7572,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_7540,c_404]) ).

tff(c_7574,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_7540,c_426]) ).

tff(c_7597,plain,
    sum(sum(pred('#skF_1'),n9),n9) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_7574,c_5995]) ).

tff(c_7728,plain,
    n3 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_270,c_226,c_7572,c_7597]) ).

tff(c_7747,plain,
    sum(n7,n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_7728,c_230]) ).

tff(c_7598,plain,
    sum(sum(pred('#skF_1'),n0),sum(n9,n9)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_7574,c_5990]) ).

tff(c_7599,plain,
    sum(sum(pred('#skF_1'),n0),n7) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_182,c_7598]) ).

tff(c_7915,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_7747,c_244,c_7572,c_7599]) ).

tff(c_7916,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_7915]) ).

tff(c_7917,plain,
    ( ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_7538]) ).

tff(c_7919,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_7917]) ).

tff(c_7953,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_7919,c_414]) ).

tff(c_192,plain,
    sum(n9,n4) = n2,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_7954,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_7919,c_436]) ).

tff(c_7973,plain,
    sum(sum(pred('#skF_1'),n0),sum(n9,n4)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_7954,c_5990]) ).

tff(c_7974,plain,
    sum(sum(pred('#skF_1'),n0),n2) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_192,c_7973]) ).

tff(c_8107,plain,
    n4 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_350,c_354,c_7953,c_7974]) ).

tff(c_248,plain,
    sum(n6,n9) = n4,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_8141,plain,
    sum(n6,n9) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_8107,c_248]) ).

tff(c_8135,plain,
    sum(n2,'#skF_3') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_8107,c_346]) ).

tff(c_7972,plain,
    sum(sum(pred('#skF_1'),n4),n9) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_7954,c_5995]) ).

tff(c_8299,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_8141,c_8135,c_8107,c_7953,c_7972]) ).

tff(c_8300,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_8299]) ).

tff(c_8301,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_7917]) ).

tff(c_8303,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_8301]) ).

tff(c_8336,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_8303,c_406]) ).

tff(c_8337,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_8303,c_428]) ).

tff(c_8360,plain,
    sum(sum(pred('#skF_1'),n8),n9) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_8337,c_5995]) ).

tff(c_8491,plain,
    n1 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_314,c_250,c_8336,c_8360]) ).

tff(c_8509,plain,
    sum(n6,n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_8491,c_254]) ).

tff(c_184,plain,
    sum(n9,n8) = n6,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_8361,plain,
    sum(sum(pred('#skF_1'),n0),sum(n9,n8)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_8337,c_5990]) ).

tff(c_8362,plain,
    sum(sum(pred('#skF_1'),n0),n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_184,c_8361]) ).

tff(c_8678,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_8509,c_266,c_8336,c_8362]) ).

tff(c_8679,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_8678]) ).

tff(c_8680,plain,
    ( ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_8301]) ).

tff(c_8682,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_8680]) ).

tff(c_8715,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_8682,c_412]) ).

tff(c_8716,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_8682,c_434]) ).

tff(c_8735,plain,
    sum(sum(pred('#skF_1'),n5),n9) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_8716,c_5995]) ).

tff(c_8870,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_204,c_322,c_8715,c_8735]) ).

tff(c_8894,plain,
    sum(n3,n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_8870,c_326]) ).

tff(c_190,plain,
    sum(n9,n5) = n3,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_8736,plain,
    sum(sum(pred('#skF_1'),n0),sum(n9,n5)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_8716,c_5990]) ).

tff(c_8737,plain,
    sum(sum(pred('#skF_1'),n0),n3) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_190,c_8736]) ).

tff(c_9062,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_8894,c_332,c_8715,c_8737]) ).

tff(c_9063,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_9062]) ).

tff(c_9064,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_8680]) ).

tff(c_9066,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_9064]) ).

tff(c_9101,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_9066,c_430]) ).

tff(c_9100,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_9066,c_408]) ).

tff(c_9123,plain,
    sum(sum(n5,succ('#skF_1')),n9) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_9100,c_5995]) ).

tff(c_9254,plain,
    '#skF_2' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_5324,c_274,c_9101,c_9123]) ).

tff(c_5315,plain,
    sum(n5,n5) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_5307,c_278]) ).

tff(c_9263,plain,
    sum(n5,n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_9254,c_5315]) ).

tff(c_186,plain,
    sum(n9,n7) = n5,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_9124,plain,
    sum(sum(n5,n0),sum(n9,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_9100,c_5990]) ).

tff(c_9125,plain,
    sum(n5,sum(n9,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_288,c_9124]) ).

tff(c_9456,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_9263,c_186,c_9101,c_9125]) ).

tff(c_9457,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_9456]) ).

tff(c_9458,plain,
    n5 = '#skF_1',
    inference(splitRight,[status(thm)],[c_9064]) ).

tff(c_9493,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_9458,c_410]) ).

tff(c_9491,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_9458,c_432]) ).

tff(c_9508,plain,
    sum(sum(pred('#skF_1'),n6),n9) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_9491,c_5995]) ).

tff(c_9647,plain,
    n8 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_5312,c_5311,c_9493,c_9508]) ).

tff(c_9665,plain,
    sum(n4,n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_9647,c_302]) ).

tff(c_188,plain,
    sum(n9,n6) = n4,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_9509,plain,
    sum(sum(pred('#skF_1'),n0),sum(n9,n6)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_9491,c_5990]) ).

tff(c_9510,plain,
    sum(sum(pred('#skF_1'),n0),n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_188,c_9509]) ).

tff(c_9834,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_9665,c_310,c_9493,c_9510]) ).

tff(c_9835,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_9834]) ).

tff(c_9836,plain,
    ( ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n3 = '#skF_2' )
    | ( n2 = '#skF_2' )
    | ( n1 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_5305]) ).

tff(c_9838,plain,
    n1 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_9836]) ).

tff(c_9859,plain,
    sum(n10,n2) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_9838,c_174]) ).

tff(c_372,plain,
    sum(n1,n2) = n3,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_9865,plain,
    sum('#skF_2',n2) = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_9838,c_372]) ).

tff(c_9845,plain,
    sum(n5,n7) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_9838,c_274]) ).

tff(c_218,plain,
    sum(n8,n2) = n10,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_328,plain,
    sum(n3,n2) = n5,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_390,plain,
    sum(n0,n4) = n4,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_284,plain,
    sum(n5,n2) = n7,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_9887,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n0 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9838,c_156]) ).

tff(c_9888,plain,
    n0 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_9887]) ).

tff(c_9914,plain,
    sum('#skF_1',n2) = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_9888,c_394]) ).

tff(c_9868,plain,
    sum(n10,'#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_9838,c_176]) ).

tff(c_10130,plain,
    sum(n10,'#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_9888,c_9868]) ).

tff(c_9870,plain,
    succ(n0) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_9838,c_442]) ).

tff(c_9951,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_9888,c_9870]) ).

tff(c_9869,plain,
    succ('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_9838,c_440]) ).

tff(c_9917,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_9888,c_420]) ).

tff(c_9871,plain,
    pred('#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_9838,c_418]) ).

tff(c_9932,plain,
    pred('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_9888,c_9871]) ).

tff(c_9934,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum('#skF_1',succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_9932,c_150]) ).

tff(c_10192,plain,
    n2 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_9914,c_10130,c_9914,c_9951,c_9869,c_9917,c_9934]) ).

tff(c_9849,plain,
    sum('#skF_2','#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_9838,c_9838,c_374]) ).

tff(c_10195,plain,
    sum('#skF_2','#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_10192,c_9849]) ).

tff(c_10197,plain,
    sum(n10,'#skF_4') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_10192,c_9859]) ).

tff(c_10203,plain,
    succ('#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_10192,c_9869]) ).

tff(c_9852,plain,
    sum(n0,'#skF_2') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_9838,c_9838,c_396]) ).

tff(c_10056,plain,
    sum('#skF_1','#skF_2') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_9888,c_9852]) ).

tff(c_9933,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_9932,c_152]) ).

tff(c_10379,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_10195,c_10197,c_10203,c_10056,c_9951,c_9917,c_9933]) ).

tff(c_10380,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_10379]) ).

tff(c_10381,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_9887]) ).

tff(c_10531,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_10381]) ).

tff(c_10563,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_10531,c_400]) ).

tff(c_10566,plain,
    succ('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_10531,c_422]) ).

tff(c_10387,plain,
    sum(sum(pred('#skF_1'),n2),sum(pred('#skF_2'),succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_9869,c_152]) ).

tff(c_10526,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_9871,c_10387]) ).

tff(c_10584,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n0)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_10566,c_10526]) ).

tff(c_10586,plain,
    sum(sum(pred('#skF_1'),n2),n0) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_398,c_10584]) ).

tff(c_10719,plain,
    n0 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_398,c_196,c_10563,c_10586]) ).

tff(c_10748,plain,
    sum(n9,n2) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_10719,c_196]) ).

tff(c_10752,plain,
    sum(n9,'#skF_3') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_10719,c_200]) ).

tff(c_10388,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n2)) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_9869,c_150]) ).

tff(c_10521,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_394,c_9871,c_10388]) ).

tff(c_10585,plain,
    sum(sum(pred('#skF_1'),n0),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_10566,c_10521]) ).

tff(c_10911,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_10748,c_10752,c_10719,c_10563,c_10585]) ).

tff(c_10912,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_10911]) ).

tff(c_10913,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_10381]) ).

tff(c_10915,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_10913]) ).

tff(c_10947,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_10915,c_9871]) ).

tff(c_10948,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_10915,c_9869]) ).

tff(c_10969,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n2)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_10948,c_10526]) ).

tff(c_10971,plain,
    sum(sum(pred('#skF_1'),n2),n2) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_394,c_10969]) ).

tff(c_11108,plain,
    n4 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_350,c_394,c_10947,c_10971]) ).

tff(c_11120,plain,
    sum(n2,n2) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_11108,c_350]) ).

tff(c_10970,plain,
    sum(sum(pred('#skF_1'),n2),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_10948,c_10521]) ).

tff(c_11295,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_11120,c_394,c_10947,c_10970]) ).

tff(c_11296,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_11295]) ).

tff(c_11297,plain,
    ( ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_10913]) ).

tff(c_11299,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_11297]) ).

tff(c_240,plain,
    sum(n7,n2) = n9,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_11307,plain,
    sum(n7,n2) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_11299,c_240]) ).

tff(c_11332,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_11299,c_402]) ).

tff(c_11333,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_11299,c_424]) ).

tff(c_11349,plain,
    sum(sum(pred('#skF_1'),n10),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_11333,c_10521]) ).

tff(c_11487,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_11307,c_202,c_11332,c_11349]) ).

tff(c_11318,plain,
    sum(n10,n10) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_11299,c_158]) ).

tff(c_11501,plain,
    sum(n10,n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_11487,c_11318]) ).

tff(c_11519,plain,
    pred('#skF_4') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_11487,c_11332]) ).

tff(c_378,plain,
    sum(n0,n10) = n10,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_11348,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n10)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_11333,c_10526]) ).

tff(c_11350,plain,
    sum(sum(pred('#skF_1'),n2),n10) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_378,c_11348]) ).

tff(c_11689,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_11501,c_218,c_11519,c_11487,c_11350]) ).

tff(c_11690,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_11689]) ).

tff(c_11691,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_11297]) ).

tff(c_11693,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_11691]) ).

tff(c_306,plain,
    sum(n4,n2) = n6,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_11724,plain,
    sum(n4,'#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_11693,c_306]) ).

tff(c_9839,plain,
    sum('#skF_2',n3) = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_9838,c_370]) ).

tff(c_9872,plain,
    pred(n2) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_9838,c_416]) ).

tff(c_11701,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_11693,c_9872]) ).

tff(c_11729,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_11693,c_438]) ).

tff(c_11695,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_11693,c_10521]) ).

tff(c_11880,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_11724,c_9839,c_11701,c_11729,c_11695]) ).

tff(c_11902,plain,
    sum(n3,n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_11880,c_326]) ).

tff(c_11696,plain,
    sum('#skF_2','#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_11693,c_9865]) ).

tff(c_392,plain,
    sum(n0,n3) = n3,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_11694,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n0,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_11693,c_10526]) ).

tff(c_12067,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_11902,c_11696,c_11701,c_392,c_11729,c_11694]) ).

tff(c_12068,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_12067]) ).

tff(c_12069,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_11691]) ).

tff(c_12071,plain,
    n8 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_12069]) ).

tff(c_12103,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_12071,c_404]) ).

tff(c_12105,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_12071,c_426]) ).

tff(c_12129,plain,
    sum(sum(pred('#skF_1'),n9),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_12105,c_10521]) ).

tff(c_12259,plain,
    n7 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_284,c_226,c_12103,c_12129]) ).

tff(c_12280,plain,
    sum(n9,n9) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_12259,c_182]) ).

tff(c_12275,plain,
    sum('#skF_4',n2) = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_12259,c_240]) ).

tff(c_12266,plain,
    pred('#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_12259,c_12103]) ).

tff(c_12128,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n9)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_12105,c_10526]) ).

tff(c_12130,plain,
    sum(sum(pred('#skF_1'),n2),n9) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_380,c_12128]) ).

tff(c_12451,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_12280,c_12275,c_12266,c_12130]) ).

tff(c_12452,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_12451]) ).

tff(c_12453,plain,
    ( ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_12069]) ).

tff(c_12455,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_12453]) ).

tff(c_12490,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_12455,c_436]) ).

tff(c_12489,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_12455,c_414]) ).

tff(c_12508,plain,
    sum(sum(n2,n2),sum(n0,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_12489,c_10526]) ).

tff(c_12510,plain,
    sum(n4,sum(n0,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_350,c_12508]) ).

tff(c_12643,plain,
    n8 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_302,c_390,c_12490,c_12510]) ).

tff(c_262,plain,
    sum(n6,n2) = n8,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_12666,plain,
    sum(n6,n2) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_12643,c_262]) ).

tff(c_12509,plain,
    sum(sum(n2,succ('#skF_1')),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_12489,c_10521]) ).

tff(c_12830,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_12666,c_346,c_12490,c_12509]) ).

tff(c_12831,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_12830]) ).

tff(c_12832,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_12453]) ).

tff(c_12834,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_12832]) ).

tff(c_12867,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_12834,c_406]) ).

tff(c_12868,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_12834,c_428]) ).

tff(c_12884,plain,
    sum(sum(pred('#skF_1'),n8),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_12868,c_10521]) ).

tff(c_13022,plain,
    n5 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_328,c_250,c_12867,c_12884]) ).

tff(c_13053,plain,
    sum(n8,n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_13022,c_206]) ).

tff(c_382,plain,
    sum(n0,n8) = n8,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_12883,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n8)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_12868,c_10526]) ).

tff(c_12885,plain,
    sum(sum(pred('#skF_1'),n2),n8) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_382,c_12883]) ).

tff(c_13209,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_13053,c_262,c_12867,c_12885]) ).

tff(c_13210,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_13209]) ).

tff(c_13211,plain,
    ( ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_12832]) ).

tff(c_13213,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_13211]) ).

tff(c_13246,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_13213,c_412]) ).

tff(c_13247,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_13213,c_434]) ).

tff(c_13267,plain,
    sum(sum(pred('#skF_1'),n5),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_13247,c_10521]) ).

tff(c_13401,plain,
    n10 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_218,c_322,c_13246,c_13267]) ).

tff(c_13420,plain,
    sum(n5,n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_13401,c_278]) ).

tff(c_388,plain,
    sum(n0,n5) = n5,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_13266,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n5)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_13247,c_10526]) ).

tff(c_13268,plain,
    sum(sum(pred('#skF_1'),n2),n5) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_388,c_13266]) ).

tff(c_13593,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_13420,c_328,c_13246,c_13268]) ).

tff(c_13594,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_13593]) ).

tff(c_13595,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_13211]) ).

tff(c_13597,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_13595]) ).

tff(c_13632,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_13597,c_430]) ).

tff(c_13631,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_13597,c_408]) ).

tff(c_13651,plain,
    sum(sum(n5,succ('#skF_1')),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_13631,c_10521]) ).

tff(c_13785,plain,
    n3 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_9865,c_9845,c_13632,c_13651]) ).

tff(c_13803,plain,
    sum(n7,n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_13785,c_230]) ).

tff(c_384,plain,
    sum(n0,n7) = n7,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_13650,plain,
    sum(sum(n5,n2),sum(n0,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_13631,c_10526]) ).

tff(c_13652,plain,
    sum(n7,sum(n0,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_284,c_13650]) ).

tff(c_13972,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_13803,c_384,c_13632,c_13652]) ).

tff(c_13973,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_13972]) ).

tff(c_13974,plain,
    n5 = '#skF_1',
    inference(splitRight,[status(thm)],[c_13595]) ).

tff(c_14009,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_13974,c_410]) ).

tff(c_14007,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_13974,c_432]) ).

tff(c_14025,plain,
    sum(sum(pred('#skF_1'),n6),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_14007,c_10521]) ).

tff(c_14163,plain,
    '#skF_2' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_9859,c_298,c_14009,c_14025]) ).

tff(c_9843,plain,
    sum(n6,n6) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_9838,c_254]) ).

tff(c_14194,plain,
    sum(n6,n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_14163,c_9843]) ).

tff(c_386,plain,
    sum(n0,n6) = n6,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_14024,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n6)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_14007,c_10526]) ).

tff(c_14026,plain,
    sum(sum(pred('#skF_1'),n2),n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_386,c_14024]) ).

tff(c_14365,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_14194,c_306,c_14009,c_14026]) ).

tff(c_14366,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_14365]) ).

tff(c_14367,plain,
    ( ( n2 = '#skF_2' )
    | ( n3 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_9836]) ).

tff(c_14369,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_14367]) ).

tff(c_14371,plain,
    sum(n7,'#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_14369,c_226]) ).

tff(c_14372,plain,
    sum(n2,n7) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_14369,c_340]) ).

tff(c_14379,plain,
    sum('#skF_2',n7) = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_14369,c_186]) ).

tff(c_14395,plain,
    sum('#skF_2',n0) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_14369,c_14369,c_200]) ).

tff(c_14375,plain,
    sum('#skF_2','#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_14369,c_14369,c_182]) ).

tff(c_14384,plain,
    sum(n10,n10) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_14369,c_158]) ).

tff(c_14373,plain,
    sum(n8,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_14369,c_220]) ).

tff(c_14402,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_14369,c_424]) ).

tff(c_14418,plain,
    ( ( n10 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' )
    | ( n0 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_14369,c_156]) ).

tff(c_14419,plain,
    n0 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_14418]) ).

tff(c_14449,plain,
    succ('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_14419,c_442]) ).

tff(c_14448,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_14419,c_420]) ).

tff(c_14401,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_14369,c_402]) ).

tff(c_14465,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_14401,c_152]) ).

tff(c_14731,plain,
    n7 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_14375,c_14384,c_14373,c_14402,c_14449,c_14448,c_14465]) ).

tff(c_14437,plain,
    sum('#skF_1',n7) = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_14419,c_384]) ).

tff(c_14734,plain,
    sum('#skF_1','#skF_3') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_14731,c_14731,c_14437]) ).

tff(c_14758,plain,
    sum(n8,n10) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_14731,c_202]) ).

tff(c_14447,plain,
    sum(n10,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_14419,c_176]) ).

tff(c_14466,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n8,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_14401,c_150]) ).

tff(c_14918,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_14734,c_14758,c_14447,c_14402,c_14449,c_14448,c_14466]) ).

tff(c_14919,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_14918]) ).

tff(c_14920,plain,
    ( ( n1 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_14418]) ).

tff(c_15070,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_14920]) ).

tff(c_14400,plain,
    pred(n10) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_14369,c_400]) ).

tff(c_15078,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_15070,c_14400]) ).

tff(c_15106,plain,
    succ('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_15070,c_422]) ).

tff(c_14927,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n8,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_14401,c_150]) ).

tff(c_15060,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_202,c_14402,c_14927]) ).

tff(c_15124,plain,
    sum(sum(pred('#skF_1'),n0),n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_15106,c_15060]) ).

tff(c_15257,plain,
    n5 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_14379,c_14395,c_15078,c_15124]) ).

tff(c_15287,plain,
    sum(n8,n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_15257,c_206]) ).

tff(c_14376,plain,
    sum('#skF_2',n10) = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_14369,c_180]) ).

tff(c_15076,plain,
    sum('#skF_2','#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_15070,c_14376]) ).

tff(c_14926,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_14401,c_152]) ).

tff(c_15065,plain,
    sum(sum(pred('#skF_1'),n10),sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_14402,c_14926]) ).

tff(c_15071,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_15070,c_15065]) ).

tff(c_15444,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_15287,c_15076,c_15078,c_222,c_15106,c_15071]) ).

tff(c_15445,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_15444]) ).

tff(c_15446,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_14920]) ).

tff(c_15448,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_15446]) ).

tff(c_15480,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_15448,c_440]) ).

tff(c_15482,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_15448,c_418]) ).

tff(c_15502,plain,
    sum(sum(n0,succ('#skF_1')),n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_15482,c_15060]) ).

tff(c_15636,plain,
    '#skF_2' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_14372,c_394,c_15480,c_15502]) ).

tff(c_15661,plain,
    sum(n10,n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_15636,c_14384]) ).

tff(c_15501,plain,
    sum(sum(n0,n10),sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_15482,c_15065]) ).

tff(c_15503,plain,
    sum(n10,sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_378,c_15501]) ).

tff(c_15838,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_15661,c_218,c_15480,c_15503]) ).

tff(c_15839,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_15838]) ).

tff(c_15840,plain,
    ( ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_15446]) ).

tff(c_15842,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_15840]) ).

tff(c_15873,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_15842,c_14402]) ).

tff(c_15875,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_15842,c_14401]) ).

tff(c_15900,plain,
    sum(sum(n8,n10),sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_15875,c_15065]) ).

tff(c_15902,plain,
    sum(n7,sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_202,c_15900]) ).

tff(c_16035,plain,
    n3 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_230,c_202,c_15873,c_15902]) ).

tff(c_16048,plain,
    sum(n7,n7) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_16035,c_230]) ).

tff(c_15901,plain,
    sum(sum(n8,succ('#skF_1')),n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_15875,c_15060]) ).

tff(c_16222,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_16048,c_202,c_15873,c_15901]) ).

tff(c_16223,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_16222]) ).

tff(c_16224,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_15840]) ).

tff(c_16226,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_16224]) ).

tff(c_16260,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_16226,c_416]) ).

tff(c_216,plain,
    sum(n8,n3) = n0,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_16259,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_16226,c_438]) ).

tff(c_16275,plain,
    sum(sum(pred('#skF_1'),n10),sum(n8,n3)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_16259,c_15065]) ).

tff(c_16277,plain,
    sum(sum(pred('#skF_1'),n10),n0) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_216,c_16275]) ).

tff(c_16414,plain,
    n0 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_398,c_356,c_16260,c_16277]) ).

tff(c_296,plain,
    sum(n4,n7) = n0,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_16429,plain,
    sum(n4,n7) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_16414,c_296]) ).

tff(c_16276,plain,
    sum(sum(pred('#skF_1'),n3),n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_16259,c_15060]) ).

tff(c_16606,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_16429,c_370,c_16260,c_16276]) ).

tff(c_16607,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_16606]) ).

tff(c_16608,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_16224]) ).

tff(c_16610,plain,
    n8 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_16608]) ).

tff(c_14403,plain,
    succ(n8) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_14369,c_426]) ).

tff(c_16619,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_16610,c_14403]) ).

tff(c_16645,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_16610,c_404]) ).

tff(c_16664,plain,
    sum(sum(n7,succ('#skF_1')),n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_16645,c_15060]) ).

tff(c_16797,plain,
    n1 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_274,c_14371,c_16619,c_16664]) ).

tff(c_16813,plain,
    sum(n6,n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_16797,c_254]) ).

tff(c_14396,plain,
    sum(n8,'#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_14369,c_204]) ).

tff(c_16614,plain,
    sum('#skF_1','#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_16610,c_14396]) ).

tff(c_224,plain,
    sum(n7,n10) = n6,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_16611,plain,
    sum(sum(pred('#skF_1'),n10),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_16610,c_15065]) ).

tff(c_16984,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_16813,c_16614,c_16619,c_224,c_16645,c_16611]) ).

tff(c_16985,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_16984]) ).

tff(c_16986,plain,
    ( ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_16608]) ).

tff(c_16988,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_16986]) ).

tff(c_17023,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_16988,c_436]) ).

tff(c_334,plain,
    sum(n2,n10) = n1,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_17022,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_16988,c_414]) ).

tff(c_17037,plain,
    sum(sum(n2,n10),sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_17022,c_15065]) ).

tff(c_17039,plain,
    sum(n1,sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_334,c_17037]) ).

tff(c_17176,plain,
    n2 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_374,c_214,c_17023,c_17039]) ).

tff(c_252,plain,
    sum(n6,n7) = n2,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_17209,plain,
    sum(n6,n7) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_17176,c_252]) ).

tff(c_17204,plain,
    sum('#skF_3',n4) = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_17176,c_346]) ).

tff(c_17038,plain,
    sum(sum(n2,succ('#skF_1')),n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_17022,c_15060]) ).

tff(c_17363,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_17209,c_17204,c_17176,c_17023,c_17038]) ).

tff(c_17364,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_17363]) ).

tff(c_17365,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_16986]) ).

tff(c_17367,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_17365]) ).

tff(c_17402,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_17367,c_428]) ).

tff(c_246,plain,
    sum(n6,n10) = n5,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_17401,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_17367,c_406]) ).

tff(c_17417,plain,
    sum(sum(n6,n10),sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_17401,c_15065]) ).

tff(c_17418,plain,
    sum(n5,sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_246,c_17417]) ).

tff(c_17555,plain,
    n10 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_278,c_206,c_17402,c_17418]) ).

tff(c_318,plain,
    sum(n3,n7) = n10,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_17398,plain,
    sum(n3,'#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_17367,c_318]) ).

tff(c_17557,plain,
    sum(n3,'#skF_1') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_17555,c_17398]) ).

tff(c_17368,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_17367,c_15060]) ).

tff(c_17747,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_17557,c_250,c_17402,c_17401,c_17368]) ).

tff(c_17748,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_17747]) ).

tff(c_17749,plain,
    ( ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_17365]) ).

tff(c_17751,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_17749]) ).

tff(c_17765,plain,
    sum(n2,n2) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_17751,c_350]) ).

tff(c_312,plain,
    sum(n3,n10) = n2,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_17784,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_17751,c_412]) ).

tff(c_212,plain,
    sum(n8,n5) = n2,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_17785,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_17751,c_434]) ).

tff(c_17804,plain,
    sum(sum(pred('#skF_1'),n10),sum(n8,n5)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_17785,c_15065]) ).

tff(c_17806,plain,
    sum(sum(pred('#skF_1'),n10),n2) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_212,c_17804]) ).

tff(c_17939,plain,
    '#skF_3' = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_17765,c_312,c_17784,c_17806]) ).

tff(c_17940,plain,
    '#skF_1' != '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_17939,c_1095]) ).

tff(c_17768,plain,
    sum(n8,n7) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_17751,c_208]) ).

tff(c_17805,plain,
    sum(sum(pred('#skF_1'),n5),n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_17785,c_15060]) ).

tff(c_17949,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_17768,c_322,c_17784,c_17805]) ).

tff(c_17950,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_17940,c_17949]) ).

tff(c_17951,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_17749]) ).

tff(c_17953,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_17951]) ).

tff(c_17988,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_17953,c_430]) ).

tff(c_268,plain,
    sum(n5,n10) = n4,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_17987,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_17953,c_408]) ).

tff(c_18010,plain,
    sum(sum(n5,n10),sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_17987,c_15065]) ).

tff(c_18012,plain,
    sum(n4,sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_268,c_18010]) ).

tff(c_18141,plain,
    n8 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_302,c_208,c_17988,c_18012]) ).

tff(c_18175,plain,
    sum(n1,n7) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_18141,c_362]) ).

tff(c_18011,plain,
    sum(sum(n5,succ('#skF_1')),n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_17987,c_15060]) ).

tff(c_18328,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_18175,c_274,c_17988,c_18011]) ).

tff(c_18329,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_18328]) ).

tff(c_18330,plain,
    n5 = '#skF_1',
    inference(splitRight,[status(thm)],[c_17951]) ).

tff(c_18363,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_18330,c_432]) ).

tff(c_18365,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_18330,c_410]) ).

tff(c_18385,plain,
    sum(sum(n4,succ('#skF_1')),n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_18365,c_15060]) ).

tff(c_18519,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_164,c_298,c_18363,c_18385]) ).

tff(c_18547,plain,
    sum(n3,n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_18519,c_326]) ).

tff(c_210,plain,
    sum(n8,n6) = n3,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_18542,plain,
    sum(n8,'#skF_4') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_18519,c_210]) ).

tff(c_18527,plain,
    succ('#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_18519,c_18363]) ).

tff(c_290,plain,
    sum(n4,n10) = n3,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_18384,plain,
    sum(sum(n4,n10),sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_18365,c_15065]) ).

tff(c_18386,plain,
    sum(n3,sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_290,c_18384]) ).

tff(c_18711,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_18547,c_18542,c_18527,c_18386]) ).

tff(c_18712,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_18711]) ).

tff(c_18713,plain,
    ( ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n3 = '#skF_2' )
    | ( n2 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_14367]) ).

tff(c_18715,plain,
    n2 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_18713]) ).

tff(c_18735,plain,
    sum('#skF_2',n4) = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_18715,c_346]) ).

tff(c_280,plain,
    sum(n5,n4) = n9,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_236,plain,
    sum(n7,n4) = n0,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_18742,plain,
    sum(n0,'#skF_2') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_18715,c_18715,c_394]) ).

tff(c_18734,plain,
    sum(n9,n4) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_18715,c_192]) ).

tff(c_18722,plain,
    sum('#skF_2','#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_18715,c_18715,c_350]) ).

tff(c_18743,plain,
    sum(n10,n3) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_18715,c_172]) ).

tff(c_18728,plain,
    sum(n1,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_18715,c_374]) ).

tff(c_18748,plain,
    pred('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_18715,c_416]) ).

tff(c_18764,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n1 = '#skF_1' )
    | ( n0 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_18715,c_156]) ).

tff(c_18765,plain,
    n0 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_18764]) ).

tff(c_18795,plain,
    succ('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_18765,c_442]) ).

tff(c_18794,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_18765,c_420]) ).

tff(c_18747,plain,
    succ('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_18715,c_438]) ).

tff(c_18811,plain,
    sum(sum(pred('#skF_1'),n3),sum(pred('#skF_2'),succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_18747,c_152]) ).

tff(c_19077,plain,
    n4 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_18722,c_18743,c_18728,c_18748,c_18795,c_18794,c_18811]) ).

tff(c_18768,plain,
    sum('#skF_1',n4) = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_18765,c_390]) ).

tff(c_19082,plain,
    sum('#skF_1','#skF_3') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_19077,c_19077,c_18768]) ).

tff(c_19089,plain,
    sum(n1,n3) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_19077,c_370]) ).

tff(c_18793,plain,
    sum(n10,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_18765,c_176]) ).

tff(c_18812,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n3)) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_18747,c_150]) ).

tff(c_19264,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_19082,c_19089,c_18793,c_18748,c_18795,c_18794,c_18812]) ).

tff(c_19265,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_19264]) ).

tff(c_19266,plain,
    ( ( n1 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_18764]) ).

tff(c_19416,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_19266]) ).

tff(c_19448,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_19416,c_400]) ).

tff(c_19451,plain,
    succ('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_19416,c_422]) ).

tff(c_19273,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n1,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_18748,c_150]) ).

tff(c_19406,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_370,c_18747,c_19273]) ).

tff(c_19470,plain,
    sum(sum(pred('#skF_1'),n0),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_19451,c_19406]) ).

tff(c_19604,plain,
    '#skF_2' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_18734,c_200,c_19448,c_19470]) ).

tff(c_19616,plain,
    sum(n1,n1) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_19604,c_18728]) ).

tff(c_19272,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_18748,c_152]) ).

tff(c_19411,plain,
    sum(sum(pred('#skF_1'),n3),sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_18747,c_19272]) ).

tff(c_19469,plain,
    sum(sum(pred('#skF_1'),n3),sum(n1,n0)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_19451,c_19411]) ).

tff(c_19471,plain,
    sum(sum(pred('#skF_1'),n3),n1) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_376,c_19469]) ).

tff(c_19806,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_19616,c_194,c_19448,c_19471]) ).

tff(c_19807,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_19806]) ).

tff(c_19808,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n1 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_19266]) ).

tff(c_19810,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_19808]) ).

tff(c_18746,plain,
    succ(n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_18715,c_440]) ).

tff(c_19817,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_19810,c_18746]) ).

tff(c_19846,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_19810,c_418]) ).

tff(c_19864,plain,
    sum(sum(n0,succ('#skF_1')),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_19846,c_19406]) ).

tff(c_19997,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_18735,c_18742,c_19817,c_19864]) ).

tff(c_20019,plain,
    sum(n3,n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_19997,c_326]) ).

tff(c_18744,plain,
    sum(n1,'#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_18715,c_372]) ).

tff(c_19815,plain,
    sum('#skF_1','#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_19810,c_18744]) ).

tff(c_19811,plain,
    sum(sum(pred('#skF_1'),n3),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_19810,c_19411]) ).

tff(c_20184,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_20019,c_19815,c_19817,c_392,c_19846,c_19811]) ).

tff(c_20185,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_20184]) ).

tff(c_20186,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_19808]) ).

tff(c_20188,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_20186]) ).

tff(c_20221,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_20188,c_402]) ).

tff(c_20222,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_20188,c_424]) ).

tff(c_20238,plain,
    sum(sum(pred('#skF_1'),n10),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_20222,c_19406]) ).

tff(c_20376,plain,
    n0 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_236,c_202,c_20221,c_20238]) ).

tff(c_20406,plain,
    sum('#skF_4','#skF_4') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_20376,c_20376,c_20376,c_398]) ).

tff(c_20395,plain,
    sum(n8,n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_20376,c_216]) ).

tff(c_20237,plain,
    sum(sum(pred('#skF_1'),n3),sum(n1,n10)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_20222,c_19411]) ).

tff(c_20239,plain,
    sum(sum(pred('#skF_1'),n3),n0) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_356,c_20237]) ).

tff(c_20568,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_20406,c_20395,c_20376,c_20221,c_20239]) ).

tff(c_20569,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_20568]) ).

tff(c_20570,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_20186]) ).

tff(c_20572,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_20570]) ).

tff(c_20605,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_20572,c_18748]) ).

tff(c_20604,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_20572,c_18747]) ).

tff(c_20626,plain,
    sum(sum(pred('#skF_1'),n3),sum(n1,n3)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_20604,c_19411]) ).

tff(c_20628,plain,
    sum(sum(pred('#skF_1'),n3),n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_370,c_20626]) ).

tff(c_20765,plain,
    n8 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_302,c_370,c_20605,c_20628]) ).

tff(c_20779,plain,
    sum(n4,n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_20765,c_302]) ).

tff(c_20627,plain,
    sum(sum(pred('#skF_1'),n3),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_20604,c_19406]) ).

tff(c_20952,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_20779,c_370,c_20605,c_20627]) ).

tff(c_20953,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_20952]) ).

tff(c_20954,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_20570]) ).

tff(c_20956,plain,
    n8 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_20954]) ).

tff(c_20988,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_20956,c_404]) ).

tff(c_20990,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_20956,c_426]) ).

tff(c_21006,plain,
    sum(sum(pred('#skF_1'),n9),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_20990,c_19406]) ).

tff(c_21144,plain,
    n9 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_280,c_226,c_20988,c_21006]) ).

tff(c_21168,plain,
    sum(n10,n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_21144,c_158]) ).

tff(c_238,plain,
    sum(n7,n3) = n10,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_21005,plain,
    sum(sum(pred('#skF_1'),n3),sum(n1,n9)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_20990,c_19411]) ).

tff(c_21007,plain,
    sum(sum(pred('#skF_1'),n3),n10) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_358,c_21005]) ).

tff(c_21331,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_21168,c_238,c_20988,c_21007]) ).

tff(c_21332,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_21331]) ).

tff(c_21333,plain,
    ( ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_20954]) ).

tff(c_21335,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_21333]) ).

tff(c_18749,plain,
    pred(n3) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_18715,c_414]) ).

tff(c_21344,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_21335,c_18749]) ).

tff(c_21371,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_21335,c_436]) ).

tff(c_21389,plain,
    sum(sum(pred('#skF_1'),n4),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_21371,c_19406]) ).

tff(c_21522,plain,
    n10 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_258,c_18735,c_21344,c_21389]) ).

tff(c_21540,plain,
    sum(n5,n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_21522,c_278]) ).

tff(c_348,plain,
    sum(n2,n3) = n5,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_18717,plain,
    sum('#skF_2',n3) = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_18715,c_348]) ).

tff(c_21341,plain,
    sum('#skF_2','#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_21335,c_18717]) ).

tff(c_368,plain,
    sum(n1,n4) = n5,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_21336,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_21335,c_19411]) ).

tff(c_21709,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_21540,c_21341,c_21344,c_368,c_21371,c_21336]) ).

tff(c_21710,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_21709]) ).

tff(c_21711,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_21333]) ).

tff(c_21713,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_21711]) ).

tff(c_324,plain,
    sum(n3,n4) = n7,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_21742,plain,
    sum(n3,n4) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_21713,c_324]) ).

tff(c_21746,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_21713,c_406]) ).

tff(c_21747,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_21713,c_428]) ).

tff(c_21771,plain,
    sum(sum(pred('#skF_1'),n8),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_21747,c_19406]) ).

tff(c_21901,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_21742,c_250,c_21746,c_21771]) ).

tff(c_21725,plain,
    sum(n9,n9) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_21713,c_182]) ).

tff(c_21930,plain,
    sum(n9,n9) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_21901,c_21725]) ).

tff(c_260,plain,
    sum(n6,n3) = n9,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_21932,plain,
    pred('#skF_4') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_21901,c_21746]) ).

tff(c_360,plain,
    sum(n1,n8) = n9,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_21770,plain,
    sum(sum(pred('#skF_1'),n3),sum(n1,n8)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_21747,c_19411]) ).

tff(c_21772,plain,
    sum(sum(pred('#skF_1'),n3),n9) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_360,c_21770]) ).

tff(c_22103,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_21930,c_260,c_21932,c_21901,c_21772]) ).

tff(c_22104,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_22103]) ).

tff(c_22105,plain,
    ( ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_21711]) ).

tff(c_22107,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_22105]) ).

tff(c_22141,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_22107,c_412]) ).

tff(c_366,plain,
    sum(n1,n5) = n6,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_22142,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_22107,c_434]) ).

tff(c_22157,plain,
    sum(sum(pred('#skF_1'),n3),sum(n1,n5)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_22142,c_19411]) ).

tff(c_22158,plain,
    sum(sum(pred('#skF_1'),n3),n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_366,c_22157]) ).

tff(c_22295,plain,
    n1 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_254,c_326,c_22141,c_22158]) ).

tff(c_22132,plain,
    sum(n8,'#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_22107,c_214]) ).

tff(c_22300,plain,
    sum(n8,'#skF_1') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_22295,c_22132]) ).

tff(c_22108,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_22107,c_19406]) ).

tff(c_22482,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_22300,c_322,c_22141,c_22142,c_22108]) ).

tff(c_22483,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_22482]) ).

tff(c_22484,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_22105]) ).

tff(c_22486,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_22484]) ).

tff(c_22521,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_22486,c_430]) ).

tff(c_282,plain,
    sum(n5,n3) = n8,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_22520,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_22486,c_408]) ).

tff(c_22535,plain,
    sum(sum(n5,n3),sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_22520,c_19411]) ).

tff(c_22537,plain,
    sum(n8,sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_282,c_22535]) ).

tff(c_22674,plain,
    n5 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_206,c_362,c_22521,c_22537]) ).

tff(c_22702,plain,
    sum(n1,n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_22674,c_368]) ).

tff(c_22694,plain,
    sum('#skF_3',n7) = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_22674,c_274]) ).

tff(c_22536,plain,
    sum(sum(n5,succ('#skF_1')),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_22520,c_19406]) ).

tff(c_22866,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_22702,c_22694,c_22674,c_22521,c_22536]) ).

tff(c_22867,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_22866]) ).

tff(c_22868,plain,
    n5 = '#skF_1',
    inference(splitRight,[status(thm)],[c_22484]) ).

tff(c_22903,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_22868,c_410]) ).

tff(c_22901,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_22868,c_432]) ).

tff(c_22919,plain,
    sum(sum(pred('#skF_1'),n6),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_22901,c_19406]) ).

tff(c_23057,plain,
    n3 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_170,c_298,c_22903,c_22919]) ).

tff(c_23076,plain,
    sum(n7,n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_23057,c_230]) ).

tff(c_304,plain,
    sum(n4,n3) = n7,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_23085,plain,
    sum(n4,'#skF_4') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_23057,c_304]) ).

tff(c_364,plain,
    sum(n1,n6) = n7,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_22918,plain,
    sum(sum(pred('#skF_1'),n3),sum(n1,n6)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_22901,c_19411]) ).

tff(c_22920,plain,
    sum(sum(pred('#skF_1'),n3),n7) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_364,c_22918]) ).

tff(c_23244,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_23076,c_23085,c_23057,c_22903,c_22920]) ).

tff(c_23245,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_23244]) ).

tff(c_23246,plain,
    ( ( n3 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_18713]) ).

tff(c_23248,plain,
    n8 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_23246]) ).

tff(c_23253,plain,
    sum('#skF_2',n5) = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_23248,c_212]) ).

tff(c_23263,plain,
    sum(n3,n5) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_23248,c_322]) ).

tff(c_23267,plain,
    sum(n6,'#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_23248,c_250]) ).

tff(c_234,plain,
    sum(n7,n5) = n1,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_23273,plain,
    sum('#skF_2',n10) = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_23248,c_202]) ).

tff(c_344,plain,
    sum(n2,n5) = n7,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_23297,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' )
    | ( n0 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_23248,c_156]) ).

tff(c_23298,plain,
    n0 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_23297]) ).

tff(c_23304,plain,
    sum('#skF_1',n5) = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_23298,c_388]) ).

tff(c_23326,plain,
    sum(n10,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_23298,c_176]) ).

tff(c_23281,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_23248,c_426]) ).

tff(c_23327,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_23298,c_420]) ).

tff(c_23279,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_23248,c_404]) ).

tff(c_23328,plain,
    succ('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_23298,c_442]) ).

tff(c_23353,plain,
    sum(sum(pred('#skF_1'),n1),sum(pred('#skF_2'),succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_23328,c_150]) ).

tff(c_23610,plain,
    n5 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_23304,c_23326,c_226,c_23281,c_23327,c_23279,c_23353]) ).

tff(c_23274,plain,
    sum('#skF_2','#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_23248,c_23248,c_206]) ).

tff(c_23612,plain,
    sum('#skF_2','#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_23610,c_23274]) ).

tff(c_23259,plain,
    sum(n7,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_23248,c_242]) ).

tff(c_23251,plain,
    sum(n10,n9) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_23248,c_160]) ).

tff(c_23352,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),n1)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_23328,c_152]) ).

tff(c_23797,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_23612,c_23259,c_23251,c_23281,c_23327,c_23279,c_23352]) ).

tff(c_23798,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_23797]) ).

tff(c_23799,plain,
    ( ( n1 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_23297]) ).

tff(c_23949,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_23799]) ).

tff(c_23981,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_23949,c_400]) ).

tff(c_23984,plain,
    succ('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_23949,c_422]) ).

tff(c_23806,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n7,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_23279,c_150]) ).

tff(c_23944,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_226,c_23281,c_23806]) ).

tff(c_24002,plain,
    sum(sum(pred('#skF_1'),n0),n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_23984,c_23944]) ).

tff(c_24137,plain,
    n3 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_190,c_200,c_23981,c_24002]) ).

tff(c_24156,plain,
    sum(n7,n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_24137,c_230]) ).

tff(c_23805,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n7,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_23279,c_152]) ).

tff(c_23939,plain,
    sum(sum(pred('#skF_1'),n9),sum(n7,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_23281,c_23805]) ).

tff(c_24003,plain,
    sum(sum(pred('#skF_1'),n9),sum(n7,n0)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_23984,c_23939]) ).

tff(c_24004,plain,
    sum(sum(pred('#skF_1'),n9),n7) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_244,c_24003]) ).

tff(c_24324,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_24156,c_182,c_23981,c_24004]) ).

tff(c_24325,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_24324]) ).

tff(c_24326,plain,
    ( ( n9 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_23799]) ).

tff(c_24328,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_24326]) ).

tff(c_24360,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_24328,c_440]) ).

tff(c_24362,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_24328,c_418]) ).

tff(c_24377,plain,
    sum(sum(n0,succ('#skF_1')),n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_24362,c_23944]) ).

tff(c_24516,plain,
    n7 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_344,c_394,c_24360,c_24377]) ).

tff(c_24537,plain,
    sum(n9,n9) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_24516,c_182]) ).

tff(c_24532,plain,
    sum('#skF_4',n2) = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_24516,c_240]) ).

tff(c_24378,plain,
    sum(sum(n0,n9),sum(n7,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_24362,c_23939]) ).

tff(c_24379,plain,
    sum(n9,sum(n7,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_380,c_24378]) ).

tff(c_24703,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_24537,c_24532,c_24516,c_24360,c_24379]) ).

tff(c_24704,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_24703]) ).

tff(c_24705,plain,
    ( ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_24326]) ).

tff(c_24707,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_24705]) ).

tff(c_23280,plain,
    pred(n9) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_23248,c_402]) ).

tff(c_24716,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_24707,c_23280]) ).

tff(c_24743,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_24707,c_424]) ).

tff(c_24757,plain,
    sum(sum(pred('#skF_1'),n10),n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_24743,c_23944]) ).

tff(c_24894,plain,
    n1 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_234,c_23273,c_24716,c_24757]) ).

tff(c_24910,plain,
    sum(n6,n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_24894,c_254]) ).

tff(c_23276,plain,
    sum('#skF_2',n9) = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_23248,c_204]) ).

tff(c_24710,plain,
    sum('#skF_2','#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_24707,c_23276]) ).

tff(c_24708,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n7,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_24707,c_23939]) ).

tff(c_25081,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_24910,c_24710,c_24716,c_224,c_24743,c_24708]) ).

tff(c_25082,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_25081]) ).

tff(c_25083,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_24705]) ).

tff(c_25085,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_25083]) ).

tff(c_25119,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_25085,c_416]) ).

tff(c_25118,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_25085,c_438]) ).

tff(c_25135,plain,
    sum(sum(pred('#skF_1'),n9),sum(n7,n3)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_25118,c_23939]) ).

tff(c_25136,plain,
    sum(sum(pred('#skF_1'),n9),n10) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_238,c_25135]) ).

tff(c_25273,plain,
    n9 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_158,c_358,c_25119,c_25136]) ).

tff(c_300,plain,
    sum(n4,n5) = n9,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_25300,plain,
    sum(n4,n5) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_25273,c_300]) ).

tff(c_25134,plain,
    sum(sum(pred('#skF_1'),n3),n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_25118,c_23944]) ).

tff(c_25460,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_25300,c_370,c_25119,c_25134]) ).

tff(c_25461,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_25460]) ).

tff(c_25462,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_25083]) ).

tff(c_25464,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_25462]) ).

tff(c_25497,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_25464,c_23279]) ).

tff(c_25496,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_25464,c_23281]) ).

tff(c_25518,plain,
    sum(sum(pred('#skF_1'),n9),n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_25496,c_23944]) ).

tff(c_25657,plain,
    n10 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_278,c_226,c_25497,c_25518]) ).

tff(c_25669,plain,
    sum(n5,n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_25657,c_278]) ).

tff(c_25519,plain,
    sum(sum(pred('#skF_1'),n9),sum(n7,n9)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_25496,c_23939]) ).

tff(c_25520,plain,
    sum(sum(pred('#skF_1'),n9),n5) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_226,c_25519]) ).

tff(c_25844,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_25669,c_226,c_25497,c_25520]) ).

tff(c_25845,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_25844]) ).

tff(c_25846,plain,
    ( ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_25462]) ).

tff(c_25848,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_25846]) ).

tff(c_25882,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_25848,c_414]) ).

tff(c_25883,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_25848,c_436]) ).

tff(c_25902,plain,
    sum(sum(pred('#skF_1'),n9),sum(n7,n4)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_25883,c_23939]) ).

tff(c_25903,plain,
    sum(sum(pred('#skF_1'),n9),n0) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_236,c_25902]) ).

tff(c_26036,plain,
    n0 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_398,c_336,c_25882,c_25903]) ).

tff(c_256,plain,
    sum(n6,n5) = n0,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_26046,plain,
    sum(n6,n5) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_26036,c_256]) ).

tff(c_25901,plain,
    sum(sum(pred('#skF_1'),n4),n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_25883,c_23944]) ).

tff(c_26228,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_26046,c_346,c_25882,c_25901]) ).

tff(c_26229,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_26228]) ).

tff(c_26230,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_25846]) ).

tff(c_26232,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_26230]) ).

tff(c_23282,plain,
    succ(n7) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_23248,c_428]) ).

tff(c_26240,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_26232,c_23282]) ).

tff(c_26267,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_26232,c_406]) ).

tff(c_26282,plain,
    sum(sum(n6,succ('#skF_1')),n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_26267,c_23944]) ).

tff(c_26419,plain,
    '#skF_2' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_23263,c_23267,c_26240,c_26282]) ).

tff(c_23258,plain,
    sum(n4,n4) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_23248,c_302]) ).

tff(c_26452,plain,
    sum(n4,n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_26419,c_23258]) ).

tff(c_228,plain,
    sum(n7,n8) = n4,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_23260,plain,
    sum(n7,'#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_23248,c_228]) ).

tff(c_26236,plain,
    sum('#skF_1','#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_26232,c_23260]) ).

tff(c_26424,plain,
    sum('#skF_1','#skF_4') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_26419,c_26236]) ).

tff(c_26427,plain,
    succ('#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_26419,c_26240]) ).

tff(c_26233,plain,
    sum(sum(pred('#skF_1'),n9),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_26232,c_23939]) ).

tff(c_26621,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_26452,c_26424,c_26427,c_248,c_26267,c_26233]) ).

tff(c_26622,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_26621]) ).

tff(c_26623,plain,
    ( ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_26230]) ).

tff(c_26625,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_26623]) ).

tff(c_26658,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_26625,c_412]) ).

tff(c_26659,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_26625,c_434]) ).

tff(c_26678,plain,
    sum(sum(pred('#skF_1'),n5),n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_26659,c_23944]) ).

tff(c_26813,plain,
    n2 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_23253,c_23263,c_26658,c_26678]) ).

tff(c_26833,plain,
    sum(n1,n1) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_26813,c_374]) ).

tff(c_26679,plain,
    sum(sum(pred('#skF_1'),n9),sum(n7,n5)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_26659,c_23939]) ).

tff(c_26680,plain,
    sum(sum(pred('#skF_1'),n9),n1) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_234,c_26679]) ).

tff(c_27000,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_26833,c_314,c_26658,c_26680]) ).

tff(c_27001,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_27000]) ).

tff(c_27002,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_26623]) ).

tff(c_27004,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_27002]) ).

tff(c_27025,plain,
    sum(n1,n5) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_27004,c_366]) ).

tff(c_27039,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_27004,c_430]) ).

tff(c_27038,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_27004,c_408]) ).

tff(c_27061,plain,
    sum(sum(n5,succ('#skF_1')),n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_27038,c_23944]) ).

tff(c_27192,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_27025,c_274,c_27039,c_27061]) ).

tff(c_27022,plain,
    sum(n3,n3) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_27004,c_326]) ).

tff(c_27220,plain,
    sum(n3,n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_27192,c_27022]) ).

tff(c_27223,plain,
    succ('#skF_4') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_27192,c_27039]) ).

tff(c_27062,plain,
    sum(sum(n5,n9),sum(n7,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_27038,c_23939]) ).

tff(c_27063,plain,
    sum(n3,sum(n7,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_270,c_27062]) ).

tff(c_27394,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_27220,c_230,c_27223,c_27192,c_27063]) ).

tff(c_27395,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_27394]) ).

tff(c_27396,plain,
    n5 = '#skF_1',
    inference(splitRight,[status(thm)],[c_27002]) ).

tff(c_27430,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_27396,c_432]) ).

tff(c_27432,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_27396,c_410]) ).

tff(c_27455,plain,
    sum(sum(n4,n9),sum(n7,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_27432,c_23939]) ).

tff(c_27456,plain,
    sum(n2,sum(n7,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_292,c_27455]) ).

tff(c_27585,plain,
    n4 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_350,c_232,c_27430,c_27456]) ).

tff(c_27425,plain,
    sum(n10,'#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_27396,c_168]) ).

tff(c_27591,plain,
    sum(n10,'#skF_1') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_27585,c_27425]) ).

tff(c_27603,plain,
    sum('#skF_3',n6) = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_27585,c_298]) ).

tff(c_27592,plain,
    pred('#skF_1') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_27585,c_27432]) ).

tff(c_27398,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_27396,c_23944]) ).

tff(c_27772,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_27591,c_27603,c_27592,c_27430,c_27398]) ).

tff(c_27773,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_27772]) ).

tff(c_27774,plain,
    ( ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n3 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_23246]) ).

tff(c_27776,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_27774]) ).

tff(c_28333,plain,
    sum(n8,n6) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_27776,c_210]) ).

tff(c_28338,plain,
    sum('#skF_2',n5) = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_27776,c_322]) ).

tff(c_320,plain,
    sum(n3,n6) = n9,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_28351,plain,
    sum('#skF_2',n6) = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_27776,c_320]) ).

tff(c_28339,plain,
    sum(n6,n8) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_27776,c_250]) ).

tff(c_276,plain,
    sum(n5,n6) = n0,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_28329,plain,
    sum(n1,'#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_27776,c_370]) ).

tff(c_27777,plain,
    n0 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_156]) ).

tff(c_27846,plain,
    sum('#skF_1',n6) = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_27777,c_386]) ).

tff(c_27853,plain,
    sum(n10,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_27777,c_176]) ).

tff(c_27811,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_27776,c_436]) ).

tff(c_27855,plain,
    succ('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_27777,c_442]) ).

tff(c_27810,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_27776,c_414]) ).

tff(c_27854,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_27777,c_420]) ).

tff(c_27872,plain,
    sum(sum(n10,succ('#skF_1')),sum(pred('#skF_2'),succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_27854,c_150]) ).

tff(c_28137,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_27846,c_27853,c_346,c_27811,c_27855,c_27810,c_27872]) ).

tff(c_27792,plain,
    sum('#skF_2','#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_27776,c_27776,c_326]) ).

tff(c_28140,plain,
    sum('#skF_2','#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_28137,c_27792]) ).

tff(c_27787,plain,
    sum(n2,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_27776,c_352]) ).

tff(c_27800,plain,
    sum(n10,n4) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_27776,c_170]) ).

tff(c_27871,plain,
    sum(sum(n10,succ('#skF_2')),sum(pred('#skF_2'),succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_27854,c_152]) ).

tff(c_28324,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_28140,c_27787,c_27800,c_27811,c_27855,c_27810,c_27871]) ).

tff(c_28325,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_28324]) ).

tff(c_28326,plain,
    ( ( n1 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_156]) ).

tff(c_28524,plain,
    ( ( n1 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_27776,c_28326]) ).

tff(c_28525,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_28524]) ).

tff(c_28557,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_28525,c_400]) ).

tff(c_28560,plain,
    succ('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_28525,c_422]) ).

tff(c_28360,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_27776,c_414]) ).

tff(c_28361,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_27776,c_436]) ).

tff(c_28384,plain,
    sum(sum(pred('#skF_1'),n4),sum(pred('#skF_2'),succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_28361,c_152]) ).

tff(c_28519,plain,
    sum(sum(pred('#skF_1'),n4),sum(n2,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_28360,c_28384]) ).

tff(c_28582,plain,
    sum(sum(pred('#skF_1'),n4),sum(n2,n0)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_28560,c_28519]) ).

tff(c_28584,plain,
    sum(sum(pred('#skF_1'),n4),n2) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_354,c_28582]) ).

tff(c_28713,plain,
    n4 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_350,c_192,c_28557,c_28584]) ).

tff(c_28742,plain,
    sum(n9,n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_28713,c_188]) ).

tff(c_28385,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n4)) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_28361,c_150]) ).

tff(c_28514,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_346,c_28360,c_28385]) ).

tff(c_28583,plain,
    sum(sum(pred('#skF_1'),n0),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_28560,c_28514]) ).

tff(c_28905,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_28742,c_200,c_28557,c_28583]) ).

tff(c_28906,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_28905]) ).

tff(c_28907,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_28524]) ).

tff(c_28909,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_28907]) ).

tff(c_28941,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_28909,c_440]) ).

tff(c_28943,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_28909,c_418]) ).

tff(c_28958,plain,
    sum(sum(n0,n4),sum(n2,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_28943,c_28519]) ).

tff(c_28960,plain,
    sum(n4,sum(n2,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_390,c_28958]) ).

tff(c_29097,plain,
    n8 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_302,c_350,c_28941,c_28960]) ).

tff(c_342,plain,
    sum(n2,n6) = n8,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_29122,plain,
    sum(n2,n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_29097,c_342]) ).

tff(c_28959,plain,
    sum(sum(n0,succ('#skF_1')),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_28943,c_28514]) ).

tff(c_29284,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_29122,c_394,c_28941,c_28959]) ).

tff(c_29285,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_29284]) ).

tff(c_29286,plain,
    ( ( n2 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_28907]) ).

tff(c_29288,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_29286]) ).

tff(c_29321,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_29288,c_402]) ).

tff(c_29322,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_29288,c_424]) ).

tff(c_29337,plain,
    sum(sum(pred('#skF_1'),n4),sum(n2,n10)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_29322,c_28519]) ).

tff(c_29339,plain,
    sum(sum(pred('#skF_1'),n4),n1) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_334,c_29337]) ).

tff(c_29476,plain,
    n2 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_374,c_214,c_29321,c_29339]) ).

tff(c_29495,plain,
    sum(n7,n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_29476,c_232]) ).

tff(c_29338,plain,
    sum(sum(pred('#skF_1'),n10),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_29322,c_28514]) ).

tff(c_29663,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_29495,c_202,c_29321,c_29338]) ).

tff(c_29664,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_29663]) ).

tff(c_29665,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_29286]) ).

tff(c_29667,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_29665]) ).

tff(c_28358,plain,
    succ(n2) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_27776,c_438]) ).

tff(c_29676,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_29667,c_28358]) ).

tff(c_29703,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_29667,c_416]) ).

tff(c_29721,plain,
    sum(sum(n1,succ('#skF_1')),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_29703,c_28514]) ).

tff(c_29854,plain,
    n10 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_298,c_28329,c_29676,c_29721]) ).

tff(c_29872,plain,
    sum(n5,n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_29854,c_278]) ).

tff(c_28328,plain,
    sum(n2,'#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_27776,c_348]) ).

tff(c_29674,plain,
    sum('#skF_1','#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_29667,c_28328]) ).

tff(c_29668,plain,
    sum(sum(pred('#skF_1'),n4),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_29667,c_28519]) ).

tff(c_30046,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_29872,c_29674,c_29676,c_368,c_29703,c_29668]) ).

tff(c_30047,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_30046]) ).

tff(c_30048,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_29665]) ).

tff(c_30050,plain,
    n8 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_30048]) ).

tff(c_30082,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_30050,c_404]) ).

tff(c_30084,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_30050,c_426]) ).

tff(c_30104,plain,
    sum(sum(pred('#skF_1'),n9),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_30084,c_28514]) ).

tff(c_30238,plain,
    n0 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_276,c_226,c_30082,c_30104]) ).

tff(c_30269,plain,
    sum('#skF_4','#skF_4') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_30238,c_30238,c_30238,c_398]) ).

tff(c_30266,plain,
    sum(n7,n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_30238,c_236]) ).

tff(c_30103,plain,
    sum(sum(pred('#skF_1'),n4),sum(n2,n9)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_30084,c_28519]) ).

tff(c_30105,plain,
    sum(sum(pred('#skF_1'),n4),n0) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_336,c_30103]) ).

tff(c_30435,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_30269,c_30266,c_30238,c_30082,c_30105]) ).

tff(c_30436,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_30435]) ).

tff(c_30437,plain,
    ( ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_30048]) ).

tff(c_30439,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_30437]) ).

tff(c_30470,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_30439,c_28360]) ).

tff(c_30471,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_30439,c_28361]) ).

tff(c_30501,plain,
    sum(sum(pred('#skF_1'),n4),sum(n2,n4)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_30471,c_28519]) ).

tff(c_30503,plain,
    sum(sum(pred('#skF_1'),n4),n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_346,c_30501]) ).

tff(c_30632,plain,
    n1 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_254,c_346,c_30470,c_30503]) ).

tff(c_30643,plain,
    sum(n6,n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_30632,c_254]) ).

tff(c_30502,plain,
    sum(sum(pred('#skF_1'),n4),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_30471,c_28514]) ).

tff(c_30824,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_30643,c_346,c_30470,c_30502]) ).

tff(c_30825,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_30824]) ).

tff(c_30826,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_30437]) ).

tff(c_30828,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_30826]) ).

tff(c_30861,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_30828,c_406]) ).

tff(c_30862,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_30828,c_428]) ).

tff(c_30886,plain,
    sum(sum(pred('#skF_1'),n8),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_30862,c_28514]) ).

tff(c_31016,plain,
    n9 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_28351,c_28339,c_30861,c_30886]) ).

tff(c_31038,plain,
    sum(n10,n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_31016,c_158]) ).

tff(c_338,plain,
    sum(n2,n8) = n10,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_30885,plain,
    sum(sum(pred('#skF_1'),n4),sum(n2,n8)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_30862,c_28519]) ).

tff(c_30887,plain,
    sum(sum(pred('#skF_1'),n4),n10) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_338,c_30885]) ).

tff(c_31203,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_31038,c_258,c_30861,c_30887]) ).

tff(c_31204,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_31203]) ).

tff(c_31205,plain,
    ( ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_30826]) ).

tff(c_31207,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_31205]) ).

tff(c_28359,plain,
    pred(n4) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_27776,c_412]) ).

tff(c_31216,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_31207,c_28359]) ).

tff(c_31243,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_31207,c_434]) ).

tff(c_31261,plain,
    sum(sum(pred('#skF_1'),n5),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_31243,c_28514]) ).

tff(c_31394,plain,
    '#skF_2' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_28333,c_28338,c_31216,c_31261]) ).

tff(c_28334,plain,
    sum(n7,n7) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_27776,c_230]) ).

tff(c_31405,plain,
    sum(n7,n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_31394,c_28334]) ).

tff(c_28353,plain,
    sum('#skF_2',n4) = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_27776,c_324]) ).

tff(c_31210,plain,
    sum('#skF_2','#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_31207,c_28353]) ).

tff(c_31395,plain,
    sum('#skF_4','#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_31394,c_31210]) ).

tff(c_31402,plain,
    pred('#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_31394,c_31216]) ).

tff(c_31208,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n2,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_31207,c_28519]) ).

tff(c_31596,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_31405,c_31395,c_31402,c_344,c_31243,c_31208]) ).

tff(c_31597,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_31596]) ).

tff(c_31598,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_31205]) ).

tff(c_31600,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_31598]) ).

tff(c_31636,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_31600,c_430]) ).

tff(c_31635,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_31600,c_408]) ).

tff(c_31654,plain,
    sum(sum(n5,n4),sum(n2,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_31635,c_28519]) ).

tff(c_31655,plain,
    sum(n9,sum(n2,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_280,c_31654]) ).

tff(c_31788,plain,
    n7 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_182,c_340,c_31636,c_31655]) ).

tff(c_31621,plain,
    sum(n1,'#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_31600,c_364]) ).

tff(c_31791,plain,
    sum(n1,'#skF_1') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_31788,c_31621]) ).

tff(c_31808,plain,
    sum(n5,'#skF_3') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_31788,c_274]) ).

tff(c_31795,plain,
    succ('#skF_1') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_31788,c_31636]) ).

tff(c_31601,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_31600,c_28514]) ).

tff(c_31975,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_31791,c_31808,c_31795,c_31635,c_31601]) ).

tff(c_31976,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_31975]) ).

tff(c_31977,plain,
    n5 = '#skF_1',
    inference(splitRight,[status(thm)],[c_31598]) ).

tff(c_32008,plain,
    sum(n8,n8) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_31977,c_206]) ).

tff(c_32012,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_31977,c_410]) ).

tff(c_32010,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_31977,c_432]) ).

tff(c_32027,plain,
    sum(sum(pred('#skF_1'),n4),sum(n2,n6)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_32010,c_28519]) ).

tff(c_32029,plain,
    sum(sum(pred('#skF_1'),n4),n8) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_342,c_32027]) ).

tff(c_32166,plain,
    '#skF_3' = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_32008,c_302,c_32012,c_32029]) ).

tff(c_32167,plain,
    '#skF_1' != '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_32166,c_1095]) ).

tff(c_32001,plain,
    sum(n10,n6) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_31977,c_166]) ).

tff(c_32028,plain,
    sum(sum(pred('#skF_1'),n6),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_32010,c_28514]) ).

tff(c_32176,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_32001,c_298,c_32012,c_32028]) ).

tff(c_32177,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_32167,c_32176]) ).

tff(c_32178,plain,
    ( ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_27774]) ).

tff(c_35550,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_32178]) ).

tff(c_35557,plain,
    sum(n5,'#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_35550,c_274]) ).

tff(c_316,plain,
    sum(n3,n8) = n0,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_35558,plain,
    sum(n9,n9) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_35550,c_182]) ).

tff(c_35564,plain,
    sum('#skF_2',n3) = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_35550,c_238]) ).

tff(c_35575,plain,
    sum(n8,n10) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_35550,c_202]) ).

tff(c_32180,plain,
    n0 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_156]) ).

tff(c_32195,plain,
    sum('#skF_1',n10) = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_32180,c_378]) ).

tff(c_32196,plain,
    sum('#skF_1',n1) = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_32180,c_396]) ).

tff(c_32210,plain,
    sum('#skF_1',n8) = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_32180,c_382]) ).

tff(c_32373,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_32178]) ).

tff(c_32392,plain,
    sum('#skF_2','#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_32373,c_32373,c_230]) ).

tff(c_32398,plain,
    sum(n10,n8) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_32373,c_162]) ).

tff(c_32391,plain,
    sum(n6,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_32373,c_264]) ).

tff(c_32412,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_32373,c_428]) ).

tff(c_32411,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_32373,c_406]) ).

tff(c_32214,plain,
    succ('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_32180,c_442]) ).

tff(c_32213,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_32180,c_420]) ).

tff(c_32235,plain,
    sum(sum(n10,succ('#skF_2')),sum(pred('#skF_2'),succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_32213,c_152]) ).

tff(c_32374,plain,
    sum(sum(n10,succ('#skF_2')),sum(pred('#skF_2'),n1)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_32214,c_32235]) ).

tff(c_32435,plain,
    sum(sum(n10,succ('#skF_2')),sum(n6,n1)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_32411,c_32374]) ).

tff(c_32564,plain,
    n3 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_32392,c_32398,c_32391,c_32412,c_32435]) ).

tff(c_32207,plain,
    sum('#skF_1',n3) = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_32180,c_392]) ).

tff(c_32570,plain,
    sum('#skF_1','#skF_3') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_32564,c_32564,c_32207]) ).

tff(c_32583,plain,
    sum(n6,n8) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_32564,c_250]) ).

tff(c_32212,plain,
    sum(n10,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_32180,c_176]) ).

tff(c_32236,plain,
    sum(sum(n10,succ('#skF_1')),sum(pred('#skF_2'),succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_32213,c_150]) ).

tff(c_32751,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_32570,c_32583,c_32412,c_32411,c_32212,c_32214,c_32236]) ).

tff(c_32752,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_32751]) ).

tff(c_32753,plain,
    ( ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_32178]) ).

tff(c_32755,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_32753]) ).

tff(c_32788,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_32755,c_412]) ).

tff(c_32789,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_32755,c_434]) ).

tff(c_32924,plain,
    n8 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_32210,c_322,c_32788,c_32789,c_32212,c_32214,c_32236]) ).

tff(c_32769,plain,
    sum('#skF_2','#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_32755,c_32755,c_302]) ).

tff(c_32926,plain,
    sum('#skF_2','#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_32924,c_32769]) ).

tff(c_32777,plain,
    sum(n10,n5) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_32755,c_168]) ).

tff(c_32780,plain,
    sum(n3,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_32755,c_330]) ).

tff(c_33127,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_32926,c_32777,c_32780,c_32788,c_32789,c_32214,c_32235]) ).

tff(c_33128,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_33127]) ).

tff(c_33129,plain,
    ( ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_32753]) ).

tff(c_33136,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_33129]) ).

tff(c_33171,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_33136,c_430]) ).

tff(c_33170,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_33136,c_408]) ).

tff(c_33131,plain,
    sum('#skF_1',sum(pred('#skF_2'),succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_32212,c_32214,c_32236]) ).

tff(c_33193,plain,
    sum('#skF_1',sum(n5,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_33170,c_33131]) ).

tff(c_33322,plain,
    n1 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_32196,c_274,c_33171,c_33193]) ).

tff(c_33145,plain,
    sum('#skF_2','#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_33136,c_33136,c_254]) ).

tff(c_33326,plain,
    sum('#skF_2','#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_33322,c_33145]) ).

tff(c_33146,plain,
    sum(n5,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_33136,c_286]) ).

tff(c_33323,plain,
    sum(n5,'#skF_4') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_33322,c_33146]) ).

tff(c_33332,plain,
    succ('#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_33322,c_32214]) ).

tff(c_33142,plain,
    sum(n10,n7) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_33136,c_164]) ).

tff(c_33509,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_33326,c_33323,c_33332,c_33142,c_33171,c_33170,c_32235]) ).

tff(c_33510,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_33509]) ).

tff(c_33511,plain,
    n5 = '#skF_2',
    inference(splitRight,[status(thm)],[c_33129]) ).

tff(c_33544,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_33511,c_432]) ).

tff(c_33546,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_33511,c_410]) ).

tff(c_33569,plain,
    sum('#skF_1',sum(n4,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_33546,c_33131]) ).

tff(c_33698,plain,
    n10 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_32195,c_298,c_33544,c_33569]) ).

tff(c_33523,plain,
    sum('#skF_2','#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_33511,c_33511,c_278]) ).

tff(c_33700,plain,
    sum('#skF_2','#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_33698,c_33523]) ).

tff(c_33533,plain,
    sum(n10,n6) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_33511,c_166]) ).

tff(c_33701,plain,
    sum('#skF_4',n6) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_33698,c_33533]) ).

tff(c_33520,plain,
    sum(n4,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_33511,c_308]) ).

tff(c_33885,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_33700,c_33701,c_33698,c_33520,c_33544,c_33546,c_32214,c_32235]) ).

tff(c_33886,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_33885]) ).

tff(c_33887,plain,
    ( ( n1 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_156]) ).

tff(c_33889,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_33887]) ).

tff(c_33914,plain,
    sum(n9,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_33889,c_198]) ).

tff(c_34077,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_32178]) ).

tff(c_34111,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_34077,c_428]) ).

tff(c_34110,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_34077,c_406]) ).

tff(c_33921,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_33889,c_400]) ).

tff(c_33924,plain,
    succ('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_33889,c_422]) ).

tff(c_33944,plain,
    sum(sum(pred('#skF_1'),n0),sum(pred('#skF_2'),succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_33924,c_150]) ).

tff(c_34242,plain,
    n1 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_194,c_250,c_34111,c_34110,c_200,c_33921,c_33944]) ).

tff(c_34260,plain,
    sum(n6,n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_34242,c_254]) ).

tff(c_33943,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),n0)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_33924,c_152]) ).

tff(c_34449,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_34260,c_184,c_34111,c_266,c_34110,c_33921,c_33943]) ).

tff(c_34450,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_34449]) ).

tff(c_34451,plain,
    ( ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_32178]) ).

tff(c_34453,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_34451]) ).

tff(c_34486,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_34453,c_412]) ).

tff(c_34487,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_34453,c_434]) ).

tff(c_34638,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_184,c_322,c_34486,c_34487,c_200,c_33921,c_33944]) ).

tff(c_34662,plain,
    sum(n3,n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_34638,c_326]) ).

tff(c_34825,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_34662,c_332,c_34486,c_190,c_34487,c_33921,c_33943]) ).

tff(c_34826,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_34825]) ).

tff(c_34827,plain,
    ( ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_34451]) ).

tff(c_34829,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_34827]) ).

tff(c_34863,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_34829,c_408]) ).

tff(c_34864,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_34829,c_430]) ).

tff(c_34998,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_33914,c_274,c_34863,c_34864,c_200,c_33921,c_33944]) ).

tff(c_33898,plain,
    sum(n5,n5) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_33889,c_278]) ).

tff(c_35004,plain,
    sum(n5,n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_34998,c_33898]) ).

tff(c_35026,plain,
    pred('#skF_4') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_34998,c_33921]) ).

tff(c_35048,plain,
    sum(sum(pred('#skF_4'),n7),n5) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_34998,c_288,c_34863,c_34864,c_33943]) ).

tff(c_35053,plain,
    sum(sum(n9,n7),n5) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_35026,c_35048]) ).

tff(c_35056,plain,
    sum(n5,n5) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_186,c_35053]) ).

tff(c_35170,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_35004,c_35056]) ).

tff(c_35172,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_35170]) ).

tff(c_35173,plain,
    n5 = '#skF_2',
    inference(splitRight,[status(thm)],[c_34827]) ).

tff(c_35208,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_35173,c_410]) ).

tff(c_35206,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_35173,c_432]) ).

tff(c_35359,plain,
    n8 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_302,c_310,c_35208,c_188,c_35206,c_33921,c_33943]) ).

tff(c_33897,plain,
    sum(n9,'#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_33889,c_180]) ).

tff(c_35365,plain,
    sum(n9,'#skF_1') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_35359,c_33897]) ).

tff(c_33894,plain,
    sum(n4,n6) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_33889,c_298]) ).

tff(c_35546,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_35365,c_33894,c_35208,c_35206,c_200,c_33921,c_33944]) ).

tff(c_35547,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_35546]) ).

tff(c_35548,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_33887]) ).

tff(c_35747,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_35550,c_35548]) ).

tff(c_35748,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_35747]) ).

tff(c_35780,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_35748,c_440]) ).

tff(c_35782,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_35748,c_418]) ).

tff(c_35583,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_35550,c_428]) ).

tff(c_35582,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_35550,c_406]) ).

tff(c_35604,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n6,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_35582,c_150]) ).

tff(c_35742,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_250,c_35583,c_35604]) ).

tff(c_35801,plain,
    sum(sum(n0,succ('#skF_1')),n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_35782,c_35742]) ).

tff(c_35936,plain,
    n5 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_348,c_394,c_35780,c_35801]) ).

tff(c_35967,plain,
    sum(n8,n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_35936,c_206]) ).

tff(c_35603,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n6,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_35582,c_152]) ).

tff(c_35737,plain,
    sum(sum(pred('#skF_1'),n8),sum(n6,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_35583,c_35603]) ).

tff(c_35802,plain,
    sum(sum(n0,n8),sum(n6,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_35782,c_35737]) ).

tff(c_35803,plain,
    sum(n8,sum(n6,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_382,c_35802]) ).

tff(c_36123,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_35967,c_262,c_35780,c_35803]) ).

tff(c_36124,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_36123]) ).

tff(c_36125,plain,
    ( ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_35747]) ).

tff(c_36127,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_36125]) ).

tff(c_36161,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_36127,c_424]) ).

tff(c_36160,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_36127,c_402]) ).

tff(c_36176,plain,
    sum(sum(n8,succ('#skF_1')),n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_36160,c_35742]) ).

tff(c_36315,plain,
    n10 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_35564,c_35575,c_36161,c_36176]) ).

tff(c_36335,plain,
    sum(n5,n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_36315,c_278]) ).

tff(c_36346,plain,
    sum(n6,'#skF_4') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_36315,c_246]) ).

tff(c_36322,plain,
    succ('#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_36315,c_36161]) ).

tff(c_36177,plain,
    sum(sum(n8,n8),sum(n6,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_36160,c_35737]) ).

tff(c_36178,plain,
    sum(n5,sum(n6,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_206,c_36177]) ).

tff(c_36502,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_36335,c_36346,c_36322,c_36178]) ).

tff(c_36503,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_36502]) ).

tff(c_36504,plain,
    ( ( n8 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_36125]) ).

tff(c_36506,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_36504]) ).

tff(c_36540,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_36506,c_416]) ).

tff(c_36539,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_36506,c_438]) ).

tff(c_36556,plain,
    sum(sum(pred('#skF_1'),n8),sum(n6,n3)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_36539,c_35737]) ).

tff(c_36557,plain,
    sum(sum(pred('#skF_1'),n8),n9) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_260,c_36556]) ).

tff(c_36694,plain,
    '#skF_2' = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_35558,c_360,c_36540,c_36557]) ).

tff(c_35572,plain,
    sum(n4,n3) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_35550,c_304]) ).

tff(c_36713,plain,
    sum(n4,n3) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_36694,c_35572]) ).

tff(c_36555,plain,
    sum(sum(pred('#skF_1'),n3),n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_36539,c_35742]) ).

tff(c_36896,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_36713,c_370,c_36540,c_36555]) ).

tff(c_36897,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_36896]) ).

tff(c_36898,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_36504]) ).

tff(c_36900,plain,
    n8 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_36898]) ).

tff(c_36927,plain,
    sum(n5,n3) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_36900,c_282]) ).

tff(c_35553,plain,
    sum('#skF_2',n9) = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_35550,c_226]) ).

tff(c_35581,plain,
    pred(n8) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_35550,c_404]) ).

tff(c_36908,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_36900,c_35581]) ).

tff(c_36936,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_36900,c_426]) ).

tff(c_36954,plain,
    sum(sum(pred('#skF_1'),n9),n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_36936,c_35742]) ).

tff(c_37087,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_36927,c_35553,c_36908,c_36954]) ).

tff(c_36919,plain,
    sum(n4,n4) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_36900,c_302]) ).

tff(c_37105,plain,
    sum(n4,n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_37087,c_36919]) ).

tff(c_35566,plain,
    sum('#skF_2',n8) = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_35550,c_228]) ).

tff(c_36902,plain,
    sum('#skF_2','#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_36900,c_35566]) ).

tff(c_37090,plain,
    sum('#skF_2','#skF_4') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_37087,c_36902]) ).

tff(c_37118,plain,
    pred('#skF_4') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_37087,c_36908]) ).

tff(c_37120,plain,
    succ('#skF_4') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_37087,c_36936]) ).

tff(c_36901,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n6,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_36900,c_35737]) ).

tff(c_37289,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_37105,c_37090,c_37118,c_248,c_37120,c_37087,c_37087,c_37087,c_36901]) ).

tff(c_37290,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_37289]) ).

tff(c_37291,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_36898]) ).

tff(c_37293,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_37291]) ).

tff(c_37325,plain,
    sum(n6,'#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_37293,c_260]) ).

tff(c_37329,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_37293,c_436]) ).

tff(c_37328,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_37293,c_414]) ).

tff(c_37294,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_37293,c_35742]) ).

tff(c_37481,plain,
    n9 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_37325,c_346,c_37329,c_37328,c_37294]) ).

tff(c_37503,plain,
    sum(n10,n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_37481,c_158]) ).

tff(c_37343,plain,
    sum(sum(n2,n8),sum(n6,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_37328,c_35737]) ).

tff(c_37344,plain,
    sum(n10,sum(n6,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_338,c_37343]) ).

tff(c_37668,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_37503,c_258,c_37329,c_37344]) ).

tff(c_37669,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_37668]) ).

tff(c_37670,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_37291]) ).

tff(c_37672,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_37670]) ).

tff(c_37705,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_37672,c_35582]) ).

tff(c_37704,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_37672,c_35583]) ).

tff(c_37727,plain,
    sum(sum(pred('#skF_1'),n8),sum(n6,n8)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_37704,c_35737]) ).

tff(c_37728,plain,
    sum(sum(pred('#skF_1'),n8),n3) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_250,c_37727]) ).

tff(c_37865,plain,
    n6 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_326,c_250,c_37705,c_37728]) ).

tff(c_37886,plain,
    sum(n3,n3) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_37865,c_326]) ).

tff(c_37884,plain,
    sum('#skF_3',n8) = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_37865,c_250]) ).

tff(c_37872,plain,
    pred('#skF_1') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_37865,c_37705]) ).

tff(c_37726,plain,
    sum(sum(pred('#skF_1'),n8),n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_37704,c_35742]) ).

tff(c_38052,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_37886,c_37884,c_37872,c_37726]) ).

tff(c_38053,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_38052]) ).

tff(c_38054,plain,
    ( ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_37670]) ).

tff(c_38056,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_38054]) ).

tff(c_38089,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_38056,c_412]) ).

tff(c_38090,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_38056,c_434]) ).

tff(c_38110,plain,
    sum(sum(pred('#skF_1'),n8),sum(n6,n5)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_38090,c_35737]) ).

tff(c_38111,plain,
    sum(sum(pred('#skF_1'),n8),n0) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_256,c_38110]) ).

tff(c_38244,plain,
    n0 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_398,c_316,c_38089,c_38111]) ).

tff(c_38260,plain,
    sum(n8,n3) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_38244,c_216]) ).

tff(c_38109,plain,
    sum(sum(pred('#skF_1'),n5),n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_38090,c_35742]) ).

tff(c_38436,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_38260,c_322,c_38089,c_38109]) ).

tff(c_38437,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_38436]) ).

tff(c_38438,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_38054]) ).

tff(c_38440,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_38438]) ).

tff(c_35584,plain,
    succ(n6) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_35550,c_430]) ).

tff(c_38449,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_38440,c_35584]) ).

tff(c_38476,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_38440,c_408]) ).

tff(c_38494,plain,
    sum(sum(n5,succ('#skF_1')),n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_38476,c_35742]) ).

tff(c_38627,plain,
    n4 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_370,c_35557,c_38449,c_38494]) ).

tff(c_38647,plain,
    sum(n2,n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_38627,c_350]) ).

tff(c_35574,plain,
    sum(n6,'#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_35550,c_252]) ).

tff(c_38445,plain,
    sum('#skF_1','#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_38440,c_35574]) ).

tff(c_272,plain,
    sum(n5,n8) = n2,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_38441,plain,
    sum(sum(pred('#skF_1'),n8),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_38440,c_35737]) ).

tff(c_38814,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_38647,c_38445,c_38449,c_272,c_38476,c_38441]) ).

tff(c_38815,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_38814]) ).

tff(c_38816,plain,
    n5 = '#skF_1',
    inference(splitRight,[status(thm)],[c_38438]) ).

tff(c_38851,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_38816,c_410]) ).

tff(c_38849,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_38816,c_432]) ).

tff(c_38866,plain,
    sum(sum(pred('#skF_1'),n6),n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_38849,c_35742]) ).

tff(c_39005,plain,
    n2 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_172,c_298,c_38851,c_38866]) ).

tff(c_39025,plain,
    sum(n1,n1) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_39005,c_374]) ).

tff(c_294,plain,
    sum(n4,n8) = n1,
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_38867,plain,
    sum(sum(pred('#skF_1'),n8),sum(n6,n6)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_38849,c_35737]) ).

tff(c_38868,plain,
    sum(sum(pred('#skF_1'),n8),n1) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_254,c_38867]) ).

tff(c_39192,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_39025,c_294,c_38851,c_38868]) ).

tff(c_39193,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_39192]) ).

tff(c_39194,plain,
    ( ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_32178]) ).

tff(c_39196,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_39194]) ).

tff(c_39200,plain,
    sum('#skF_2',n6) = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_39196,c_298]) ).

tff(c_39224,plain,
    sum('#skF_2',n8) = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_39196,c_294]) ).

tff(c_39197,plain,
    sum(n1,n3) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_39196,c_370]) ).

tff(c_39209,plain,
    sum(n7,n8) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_39196,c_228]) ).

tff(c_39393,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_39196,c_35548]) ).

tff(c_39394,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_39393]) ).

tff(c_39426,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_39394,c_440]) ).

tff(c_39428,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_39394,c_418]) ).

tff(c_39228,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_39196,c_412]) ).

tff(c_39229,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_39196,c_434]) ).

tff(c_39246,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n5)) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_39229,c_150]) ).

tff(c_39383,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_322,c_39228,c_39246]) ).

tff(c_39444,plain,
    sum(sum(n0,succ('#skF_1')),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_39428,c_39383]) ).

tff(c_39582,plain,
    n10 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_338,c_394,c_39426,c_39444]) ).

tff(c_39601,plain,
    sum(n5,n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_39582,c_278]) ).

tff(c_39245,plain,
    sum(sum(pred('#skF_1'),n5),sum(pred('#skF_2'),succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_39229,c_152]) ).

tff(c_39388,plain,
    sum(sum(pred('#skF_1'),n5),sum(n3,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_39228,c_39245]) ).

tff(c_39443,plain,
    sum(sum(n0,n5),sum(n3,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_39428,c_39388]) ).

tff(c_39445,plain,
    sum(n5,sum(n3,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_388,c_39443]) ).

tff(c_39769,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_39601,c_328,c_39426,c_39445]) ).

tff(c_39770,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_39769]) ).

tff(c_39771,plain,
    ( ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_39393]) ).

tff(c_39773,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_39771]) ).

tff(c_39806,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_39773,c_402]) ).

tff(c_39807,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_39773,c_424]) ).

tff(c_39823,plain,
    sum(sum(pred('#skF_1'),n10),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_39807,c_39383]) ).

tff(c_39961,plain,
    '#skF_2' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_39209,c_202,c_39806,c_39823]) ).

tff(c_39203,plain,
    sum(n2,n2) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_39196,c_350]) ).

tff(c_39990,plain,
    sum(n2,n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_39961,c_39203]) ).

tff(c_39822,plain,
    sum(sum(pred('#skF_1'),n5),sum(n3,n10)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_39807,c_39388]) ).

tff(c_39824,plain,
    sum(sum(pred('#skF_1'),n5),n2) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_312,c_39822]) ).

tff(c_40163,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_39990,c_212,c_39806,c_39824]) ).

tff(c_40164,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_40163]) ).

tff(c_40165,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_39771]) ).

tff(c_40167,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_40165]) ).

tff(c_40201,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_40167,c_416]) ).

tff(c_40200,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_40167,c_438]) ).

tff(c_40217,plain,
    sum(sum(pred('#skF_1'),n3),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_40200,c_39383]) ).

tff(c_40355,plain,
    n1 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_39224,c_39197,c_40201,c_40217]) ).

tff(c_40373,plain,
    sum(n6,n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_40355,c_254]) ).

tff(c_40383,plain,
    sum('#skF_4',n5) = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_40355,c_366]) ).

tff(c_40361,plain,
    pred('#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_40355,c_40201]) ).

tff(c_40216,plain,
    sum(sum(pred('#skF_1'),n5),sum(n3,n3)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_40200,c_39388]) ).

tff(c_40218,plain,
    sum(sum(pred('#skF_1'),n5),n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_326,c_40216]) ).

tff(c_40542,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_40373,c_40383,c_40361,c_40218]) ).

tff(c_40543,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_40542]) ).

tff(c_40544,plain,
    ( ( n3 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_40165]) ).

tff(c_40546,plain,
    n8 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_40544]) ).

tff(c_40581,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_40546,c_426]) ).

tff(c_40579,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_40546,c_404]) ).

tff(c_40600,plain,
    sum(sum(n7,n5),sum(n3,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_40579,c_39388]) ).

tff(c_40601,plain,
    sum(n1,sum(n3,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_234,c_40600]) ).

tff(c_40734,plain,
    n2 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_374,c_314,c_40581,c_40601]) ).

tff(c_40570,plain,
    sum(n5,'#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_40546,c_272]) ).

tff(c_40737,plain,
    sum(n5,'#skF_1') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_40734,c_40570]) ).

tff(c_40547,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_40546,c_39383]) ).

tff(c_40921,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_40737,c_226,c_40581,c_40579,c_40547]) ).

tff(c_40922,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_40921]) ).

tff(c_40923,plain,
    ( ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_40544]) ).

tff(c_40925,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_40923]) ).

tff(c_40945,plain,
    sum(n6,n8) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_40925,c_250]) ).

tff(c_39215,plain,
    sum(n2,'#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_39196,c_346]) ).

tff(c_39230,plain,
    succ(n3) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_39196,c_436]) ).

tff(c_40933,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_40925,c_39230]) ).

tff(c_40961,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_40925,c_414]) ).

tff(c_40979,plain,
    sum(sum(n2,succ('#skF_1')),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_40961,c_39383]) ).

tff(c_41112,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_40945,c_39215,c_40933,c_40979]) ).

tff(c_40940,plain,
    sum(n7,n7) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_40925,c_230]) ).

tff(c_41121,plain,
    sum(n7,n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_41112,c_40940]) ).

tff(c_39225,plain,
    sum(n3,'#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_39196,c_324]) ).

tff(c_40931,plain,
    sum('#skF_1','#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_40925,c_39225]) ).

tff(c_41116,plain,
    sum('#skF_4','#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_41112,c_40931]) ).

tff(c_41145,plain,
    pred('#skF_4') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_41112,c_40961]) ).

tff(c_41143,plain,
    succ('#skF_4') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_41112,c_40933]) ).

tff(c_40926,plain,
    sum(sum(pred('#skF_1'),n5),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_40925,c_39388]) ).

tff(c_41314,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_41121,c_41116,c_344,c_41145,c_41143,c_41112,c_41112,c_41112,c_40926]) ).

tff(c_41315,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_41314]) ).

tff(c_41316,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_40923]) ).

tff(c_41318,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_41316]) ).

tff(c_41351,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_41318,c_406]) ).

tff(c_41352,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_41318,c_428]) ).

tff(c_41375,plain,
    sum(sum(pred('#skF_1'),n5),sum(n3,n8)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_41352,c_39388]) ).

tff(c_41377,plain,
    sum(sum(pred('#skF_1'),n5),n0) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_316,c_41375]) ).

tff(c_41506,plain,
    n0 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_398,c_256,c_41351,c_41377]) ).

tff(c_41531,plain,
    sum(n3,n8) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_41506,c_316]) ).

tff(c_41376,plain,
    sum(sum(pred('#skF_1'),n8),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_41352,c_39383]) ).

tff(c_41698,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_41531,c_250,c_41351,c_41376]) ).

tff(c_41699,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_41698]) ).

tff(c_41700,plain,
    ( ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_41316]) ).

tff(c_41702,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_41700]) ).

tff(c_41736,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_41702,c_39229]) ).

tff(c_41735,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_41702,c_39228]) ).

tff(c_41757,plain,
    sum(sum(n3,succ('#skF_1')),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_41735,c_39383]) ).

tff(c_41895,plain,
    n5 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_206,c_322,c_41736,c_41757]) ).

tff(c_41926,plain,
    sum(n8,n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_41895,c_206]) ).

tff(c_41916,plain,
    sum(n3,'#skF_4') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_41895,c_322]) ).

tff(c_41902,plain,
    succ('#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_41895,c_41736]) ).

tff(c_41756,plain,
    sum(sum(n3,n5),sum(n3,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_41735,c_39388]) ).

tff(c_41758,plain,
    sum(n8,sum(n3,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_322,c_41756]) ).

tff(c_42082,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_41926,c_41916,c_41902,c_41758]) ).

tff(c_42083,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_42082]) ).

tff(c_42084,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_41700]) ).

tff(c_42086,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_42084]) ).

tff(c_42121,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_42086,c_430]) ).

tff(c_42120,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_42086,c_408]) ).

tff(c_42143,plain,
    sum(sum(n5,n5),sum(n3,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_42120,c_39388]) ).

tff(c_42145,plain,
    sum(n10,sum(n3,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_278,c_42143]) ).

tff(c_42274,plain,
    n9 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_158,c_318,c_42121,c_42145]) ).

tff(c_42296,plain,
    sum(n1,n8) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_42274,c_360]) ).

tff(c_42144,plain,
    sum(sum(n5,succ('#skF_1')),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_42120,c_39383]) ).

tff(c_42461,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_42296,c_274,c_42121,c_42144]) ).

tff(c_42462,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_42461]) ).

tff(c_42463,plain,
    n5 = '#skF_1',
    inference(splitRight,[status(thm)],[c_42084]) ).

tff(c_39227,plain,
    pred(n5) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_39196,c_410]) ).

tff(c_42472,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_42463,c_39227]) ).

tff(c_42499,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_42463,c_432]) ).

tff(c_42522,plain,
    sum(sum(pred('#skF_1'),n6),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_42499,c_39383]) ).

tff(c_42651,plain,
    n7 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_162,c_39200,c_42472,c_42522]) ).

tff(c_42671,plain,
    sum(n9,n9) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_42651,c_182]) ).

tff(c_39213,plain,
    sum('#skF_2',n5) = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_39196,c_300]) ).

tff(c_42466,plain,
    sum('#skF_2','#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_42463,c_39213]) ).

tff(c_42465,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n3,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_42463,c_39388]) ).

tff(c_42838,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_42671,c_42466,c_42472,c_320,c_42499,c_42465]) ).

tff(c_42839,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_42838]) ).

tff(c_42840,plain,
    ( ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_39194]) ).

tff(c_42842,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_42840]) ).

tff(c_42845,plain,
    sum(n4,'#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_42842,c_298]) ).

tff(c_42855,plain,
    sum('#skF_2',n8) = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_42842,c_250]) ).

tff(c_42857,plain,
    sum(n3,n3) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_42842,c_326]) ).

tff(c_43039,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_42842,c_35548]) ).

tff(c_43040,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_43039]) ).

tff(c_43073,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_43040,c_440]) ).

tff(c_43075,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_43040,c_418]) ).

tff(c_42876,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_42842,c_430]) ).

tff(c_42875,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_42842,c_408]) ).

tff(c_42891,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n5,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_42875,c_152]) ).

tff(c_43034,plain,
    sum(sum(pred('#skF_1'),n7),sum(n5,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_42876,c_42891]) ).

tff(c_43090,plain,
    sum(sum(n0,n7),sum(n5,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_43075,c_43034]) ).

tff(c_43091,plain,
    sum(n7,sum(n5,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_384,c_43090]) ).

tff(c_43228,plain,
    n3 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_230,c_284,c_43073,c_43091]) ).

tff(c_43054,plain,
    sum(n2,'#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_43040,c_352]) ).

tff(c_43234,plain,
    sum(n2,'#skF_1') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_43228,c_43054]) ).

tff(c_42892,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n5,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_42875,c_150]) ).

tff(c_43029,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),n1) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_274,c_42876,c_42892]) ).

tff(c_43041,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_43040,c_43029]) ).

tff(c_43415,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_43234,c_394,c_43073,c_43075,c_43041]) ).

tff(c_43416,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_43415]) ).

tff(c_43417,plain,
    ( ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_43039]) ).

tff(c_43419,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_43417]) ).

tff(c_43452,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_43419,c_402]) ).

tff(c_43453,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_43419,c_424]) ).

tff(c_43469,plain,
    sum(sum(pred('#skF_1'),n10),n1) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_43453,c_43029]) ).

tff(c_43607,plain,
    n8 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_242,c_202,c_43452,c_43469]) ).

tff(c_43627,plain,
    sum(n4,n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_43607,c_302]) ).

tff(c_43626,plain,
    sum('#skF_4',n7) = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_43607,c_208]) ).

tff(c_43614,plain,
    pred('#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_43607,c_43452]) ).

tff(c_43468,plain,
    sum(sum(pred('#skF_1'),n7),sum(n5,n10)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_43453,c_43034]) ).

tff(c_43470,plain,
    sum(sum(pred('#skF_1'),n7),n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_268,c_43468]) ).

tff(c_43794,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_43627,c_43626,c_43614,c_43470]) ).

tff(c_43795,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_43794]) ).

tff(c_43796,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_43417]) ).

tff(c_43798,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_43796]) ).

tff(c_43832,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_43798,c_416]) ).

tff(c_43831,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_43798,c_438]) ).

tff(c_43848,plain,
    sum(sum(pred('#skF_1'),n3),n1) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_43831,c_43029]) ).

tff(c_43986,plain,
    n5 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_308,c_370,c_43832,c_43848]) ).

tff(c_44019,plain,
    sum(n8,n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_43986,c_206]) ).

tff(c_43847,plain,
    sum(sum(pred('#skF_1'),n7),sum(n5,n3)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_43831,c_43034]) ).

tff(c_43849,plain,
    sum(sum(pred('#skF_1'),n7),n8) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_282,c_43847]) ).

tff(c_44173,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_44019,c_362,c_43832,c_43849]) ).

tff(c_44174,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_44173]) ).

tff(c_44175,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_43796]) ).

tff(c_44177,plain,
    n8 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_44175]) ).

tff(c_44209,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_44177,c_404]) ).

tff(c_44211,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_44177,c_426]) ).

tff(c_44234,plain,
    sum(sum(pred('#skF_1'),n7),sum(n5,n9)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_44211,c_43034]) ).

tff(c_44236,plain,
    sum(sum(pred('#skF_1'),n7),n3) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_270,c_44234]) ).

tff(c_44365,plain,
    '#skF_2' = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_42857,c_230,c_44209,c_44236]) ).

tff(c_42848,plain,
    sum(n5,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_42842,c_286]) ).

tff(c_44384,plain,
    sum(n5,n1) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_44365,c_42848]) ).

tff(c_44235,plain,
    sum(sum(pred('#skF_1'),n9),n1) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_44211,c_43029]) ).

tff(c_44567,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_44384,c_226,c_44209,c_44235]) ).

tff(c_44568,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_44567]) ).

tff(c_44569,plain,
    ( ( n7 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_44175]) ).

tff(c_44571,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_44569]) ).

tff(c_44605,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_44571,c_414]) ).

tff(c_44606,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_44571,c_436]) ).

tff(c_44624,plain,
    sum(sum(pred('#skF_1'),n7),sum(n5,n4)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_44606,c_43034]) ).

tff(c_44626,plain,
    sum(sum(pred('#skF_1'),n7),n9) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_280,c_44624]) ).

tff(c_44759,plain,
    n7 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_182,c_340,c_44605,c_44626]) ).

tff(c_42849,plain,
    sum('#skF_2',n1) = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_42842,c_264]) ).

tff(c_44769,plain,
    sum('#skF_2',n1) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_44759,c_42849]) ).

tff(c_42861,plain,
    sum(n2,n4) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_42842,c_346]) ).

tff(c_44625,plain,
    sum(sum(pred('#skF_1'),n4),n1) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_44606,c_43029]) ).

tff(c_44946,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_44769,c_42861,c_44605,c_44625]) ).

tff(c_44947,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_44946]) ).

tff(c_44948,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_44569]) ).

tff(c_44950,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_44948]) ).

tff(c_42873,plain,
    pred(n7) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_42842,c_406]) ).

tff(c_44958,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_44950,c_42873]) ).

tff(c_44986,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_44950,c_428]) ).

tff(c_45004,plain,
    sum(sum(pred('#skF_1'),n8),n1) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_44986,c_43029]) ).

tff(c_45137,plain,
    n4 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_330,c_42855,c_44958,c_45004]) ).

tff(c_45157,plain,
    sum(n2,n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_45137,c_350]) ).

tff(c_42867,plain,
    sum('#skF_2',n7) = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_42842,c_252]) ).

tff(c_44953,plain,
    sum('#skF_2','#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_44950,c_42867]) ).

tff(c_44951,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n5,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_44950,c_43034]) ).

tff(c_45324,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_45157,c_44953,c_44958,c_272,c_44986,c_44951]) ).

tff(c_45325,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_45324]) ).

tff(c_45326,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_44948]) ).

tff(c_45328,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_45326]) ).

tff(c_45361,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_45328,c_412]) ).

tff(c_45362,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_45328,c_434]) ).

tff(c_45382,plain,
    sum(sum(pred('#skF_1'),n5),n1) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_45362,c_43029]) ).

tff(c_45516,plain,
    n9 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_220,c_322,c_45361,c_45382]) ).

tff(c_45541,plain,
    sum(n10,n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_45516,c_158]) ).

tff(c_45381,plain,
    sum(sum(pred('#skF_1'),n7),sum(n5,n5)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_45362,c_43034]) ).

tff(c_45383,plain,
    sum(sum(pred('#skF_1'),n7),n10) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_278,c_45381]) ).

tff(c_45703,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_45541,c_318,c_45361,c_45383]) ).

tff(c_45704,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_45703]) ).

tff(c_45705,plain,
    ( ( n5 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_45326]) ).

tff(c_45707,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_45705]) ).

tff(c_45740,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_45707,c_42876]) ).

tff(c_45741,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_45707,c_42875]) ).

tff(c_45765,plain,
    sum(sum(n5,n7),sum(n5,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_45741,c_43034]) ).

tff(c_45767,plain,
    sum(n1,sum(n5,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_274,c_45765]) ).

tff(c_45900,plain,
    n2 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_374,c_274,c_45740,c_45767]) ).

tff(c_45918,plain,
    sum(n1,n1) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_45900,c_374]) ).

tff(c_45766,plain,
    sum(sum(n5,succ('#skF_1')),n1) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_45741,c_43029]) ).

tff(c_46087,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_45918,c_274,c_45740,c_45766]) ).

tff(c_46088,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_46087]) ).

tff(c_46089,plain,
    n5 = '#skF_1',
    inference(splitRight,[status(thm)],[c_45705]) ).

tff(c_42874,plain,
    succ(n5) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_42842,c_432]) ).

tff(c_46098,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_46089,c_42874]) ).

tff(c_46125,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_46089,c_410]) ).

tff(c_46140,plain,
    sum(sum(n4,succ('#skF_1')),n1) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_46125,c_43029]) ).

tff(c_46277,plain,
    n0 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_176,c_42845,c_46098,c_46140]) ).

tff(c_46307,plain,
    sum('#skF_4','#skF_4') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_46277,c_46277,c_46277,c_398]) ).

tff(c_46291,plain,
    sum(n4,n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_46277,c_296]) ).

tff(c_42856,plain,
    sum(n5,'#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_42842,c_276]) ).

tff(c_46093,plain,
    sum('#skF_1','#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_46089,c_42856]) ).

tff(c_46280,plain,
    sum('#skF_1','#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_46277,c_46093]) ).

tff(c_46091,plain,
    sum(sum(pred('#skF_1'),n7),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_46089,c_43034]) ).

tff(c_46469,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_46307,c_46291,c_46280,c_46098,c_46125,c_46091]) ).

tff(c_46470,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_46469]) ).

tff(c_46471,plain,
    n5 = '#skF_2',
    inference(splitRight,[status(thm)],[c_42840]) ).

tff(c_46479,plain,
    sum('#skF_2',n7) = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_46471,c_274]) ).

tff(c_46486,plain,
    sum(n3,'#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_46471,c_322]) ).

tff(c_46499,plain,
    sum(n6,n10) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_46471,c_246]) ).

tff(c_46669,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_46471,c_35548]) ).

tff(c_46670,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_46669]) ).

tff(c_46681,plain,
    sum(n6,n6) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_46670,c_254]) ).

tff(c_46702,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_46670,c_440]) ).

tff(c_46704,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_46670,c_418]) ).

tff(c_46503,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_46471,c_432]) ).

tff(c_46505,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_46471,c_410]) ).

tff(c_46529,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n4,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_46505,c_152]) ).

tff(c_46664,plain,
    sum(sum(pred('#skF_1'),n6),sum(n4,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_46503,c_46529]) ).

tff(c_46719,plain,
    sum(sum(n0,n6),sum(n4,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_46704,c_46664]) ).

tff(c_46721,plain,
    sum(n6,sum(n4,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_386,c_46719]) ).

tff(c_46858,plain,
    '#skF_3' = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_46681,c_306,c_46702,c_46721]) ).

tff(c_46859,plain,
    '#skF_1' != '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_46858,c_1095]) ).

tff(c_46690,plain,
    sum(n2,n10) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_46670,c_334]) ).

tff(c_46530,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n4,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_46505,c_150]) ).

tff(c_46659,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_298,c_46503,c_46530]) ).

tff(c_46720,plain,
    sum(sum(n0,succ('#skF_1')),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_46704,c_46659]) ).

tff(c_46868,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_46690,c_394,c_46702,c_46720]) ).

tff(c_46869,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_46859,c_46868]) ).

tff(c_46870,plain,
    ( ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_46669]) ).

tff(c_46872,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_46870]) ).

tff(c_46906,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_46872,c_424]) ).

tff(c_46905,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_46872,c_402]) ).

tff(c_46922,plain,
    sum(sum(n8,succ('#skF_1')),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_46905,c_46659]) ).

tff(c_47060,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_224,c_202,c_46906,c_46922]) ).

tff(c_47088,plain,
    sum(n3,n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_47060,c_326]) ).

tff(c_46921,plain,
    sum(sum(n8,n6),sum(n4,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_46905,c_46664]) ).

tff(c_46923,plain,
    sum(n3,sum(n4,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_210,c_46921]) ).

tff(c_47247,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_47088,c_290,c_46906,c_46923]) ).

tff(c_47248,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_47247]) ).

tff(c_47249,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_46870]) ).

tff(c_47251,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_47249]) ).

tff(c_47285,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_47251,c_416]) ).

tff(c_47284,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_47251,c_438]) ).

tff(c_47300,plain,
    sum(sum(pred('#skF_1'),n6),sum(n4,n3)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_47284,c_46664]) ).

tff(c_47302,plain,
    sum(sum(pred('#skF_1'),n6),n7) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_304,c_47300]) ).

tff(c_47439,plain,
    n3 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_230,c_364,c_47285,c_47302]) ).

tff(c_47455,plain,
    sum(n4,n10) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_47439,c_290]) ).

tff(c_47454,plain,
    sum(n1,'#skF_3') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_47439,c_370]) ).

tff(c_47301,plain,
    sum(sum(pred('#skF_1'),n3),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_47284,c_46659]) ).

tff(c_47626,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_47455,c_47454,c_47439,c_47285,c_47301]) ).

tff(c_47627,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_47626]) ).

tff(c_47628,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_47249]) ).

tff(c_47630,plain,
    n8 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_47628]) ).

tff(c_47662,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_47630,c_404]) ).

tff(c_47664,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_47630,c_426]) ).

tff(c_47687,plain,
    sum(sum(pred('#skF_1'),n6),sum(n4,n9)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_47664,c_46664]) ).

tff(c_47689,plain,
    sum(sum(pred('#skF_1'),n6),n2) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_292,c_47687]) ).

tff(c_47818,plain,
    n4 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_350,c_232,c_47662,c_47689]) ).

tff(c_46483,plain,
    sum('#skF_2',n10) = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_46471,c_268]) ).

tff(c_47827,plain,
    sum('#skF_2',n10) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_47818,c_46483]) ).

tff(c_46475,plain,
    sum(n7,n9) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_46471,c_226]) ).

tff(c_47688,plain,
    sum(sum(pred('#skF_1'),n9),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_47664,c_46659]) ).

tff(c_48005,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_47827,c_46475,c_47662,c_47688]) ).

tff(c_48006,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_48005]) ).

tff(c_48007,plain,
    ( ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_47628]) ).

tff(c_48009,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_48007]) ).

tff(c_48043,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_48009,c_414]) ).

tff(c_48044,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_48009,c_436]) ).

tff(c_48063,plain,
    sum(sum(pred('#skF_1'),n4),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_48044,c_46659]) ).

tff(c_48197,plain,
    '#skF_2' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_46499,c_346,c_48043,c_48063]) ).

tff(c_46500,plain,
    sum(n8,n8) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_46471,c_206]) ).

tff(c_48224,plain,
    sum(n8,n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_48197,c_46500]) ).

tff(c_48062,plain,
    sum(sum(pred('#skF_1'),n6),sum(n4,n4)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_48044,c_46664]) ).

tff(c_48064,plain,
    sum(sum(pred('#skF_1'),n6),n8) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_302,c_48062]) ).

tff(c_48399,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_48224,c_342,c_48043,c_48064]) ).

tff(c_48400,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_48399]) ).

tff(c_48401,plain,
    ( ( n4 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_48007]) ).

tff(c_48403,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_48401]) ).

tff(c_48436,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_48403,c_406]) ).

tff(c_48437,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_48403,c_428]) ).

tff(c_48460,plain,
    sum(sum(pred('#skF_1'),n6),sum(n4,n8)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_48437,c_46664]) ).

tff(c_48462,plain,
    sum(sum(pred('#skF_1'),n6),n1) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_294,c_48460]) ).

tff(c_48591,plain,
    n2 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_374,c_254,c_48436,c_48462]) ).

tff(c_48613,plain,
    sum(n3,n10) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_48591,c_312]) ).

tff(c_48461,plain,
    sum(sum(pred('#skF_1'),n8),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_48437,c_46659]) ).

tff(c_48783,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_48613,c_250,c_48436,c_48461]) ).

tff(c_48784,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_48783]) ).

tff(c_48785,plain,
    ( ( n6 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_48401]) ).

tff(c_48787,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_48785]) ).

tff(c_46506,plain,
    succ(n4) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_46471,c_434]) ).

tff(c_48796,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_48787,c_46506]) ).

tff(c_48822,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_48787,c_412]) ).

tff(c_48837,plain,
    sum(sum(n3,succ('#skF_1')),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_48822,c_46659]) ).

tff(c_48974,plain,
    n7 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_202,c_46486,c_48796,c_48837]) ).

tff(c_48994,plain,
    sum(n9,n9) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_48974,c_182]) ).

tff(c_46494,plain,
    sum(n4,'#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_46471,c_300]) ).

tff(c_48792,plain,
    sum('#skF_1','#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_48787,c_46494]) ).

tff(c_48788,plain,
    sum(sum(pred('#skF_1'),n6),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_48787,c_46664]) ).

tff(c_49161,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_48994,c_48792,c_48796,c_320,c_48822,c_48788]) ).

tff(c_49162,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_49161]) ).

tff(c_49163,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_48785]) ).

tff(c_49165,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_49163]) ).

tff(c_46504,plain,
    pred(n6) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_46471,c_408]) ).

tff(c_49174,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_49165,c_46504]) ).

tff(c_49201,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_49165,c_430]) ).

tff(c_49219,plain,
    sum(sum(pred('#skF_1'),n7),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_49201,c_46659]) ).

tff(c_49352,plain,
    n0 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_356,c_46479,c_49174,c_49219]) ).

tff(c_49382,plain,
    sum('#skF_4','#skF_4') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_49352,c_49352,c_49352,c_398]) ).

tff(c_46490,plain,
    sum('#skF_2',n6) = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_46471,c_276]) ).

tff(c_49168,plain,
    sum('#skF_2','#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_49165,c_46490]) ).

tff(c_49354,plain,
    sum('#skF_2','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_49352,c_49168]) ).

tff(c_49366,plain,
    sum(n4,n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_49352,c_296]) ).

tff(c_49166,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n4,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_49165,c_46664]) ).

tff(c_49544,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_49382,c_49354,c_49366,c_49174,c_49201,c_49166]) ).

tff(c_49545,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_49544]) ).

tff(c_49546,plain,
    '#skF_2' = '#skF_1',
    inference(splitRight,[status(thm)],[c_49163]) ).

tff(c_49579,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_49546,c_46505]) ).

tff(c_49578,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_49546,c_46503]) ).

tff(c_49601,plain,
    sum(sum(pred('#skF_1'),n6),sum(n4,n6)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_49578,c_46664]) ).

tff(c_49603,plain,
    sum(sum(pred('#skF_1'),n6),n10) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_298,c_49601]) ).

tff(c_49740,plain,
    n9 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_158,c_298,c_49579,c_49603]) ).

tff(c_49758,plain,
    sum(n10,n10) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_49740,c_158]) ).

tff(c_49602,plain,
    sum(sum(pred('#skF_1'),n6),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_49578,c_46659]) ).

tff(c_49927,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_49758,c_298,c_49579,c_49602]) ).

tff(c_49928,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1095,c_49927]) ).

tff(c_49930,plain,
    '#skF_3' = '#skF_4',
    inference(splitRight,[status(thm)],[c_112]) ).

tff(c_146,plain,
    sum(sum(pred('#skF_3'),succ('#skF_3')),sum(pred('#skF_4'),succ('#skF_4'))) = '#skF_6',
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_49932,plain,
    sum(sum(pred('#skF_4'),succ('#skF_4')),sum(pred('#skF_4'),succ('#skF_4'))) = '#skF_6',
    inference(demodulation,[status(thm),theory(equality)],[c_49930,c_49930,c_146]) ).

tff(c_148,plain,
    sum(sum(pred('#skF_3'),succ('#skF_4')),sum(pred('#skF_4'),succ('#skF_3'))) = '#skF_5',
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_49933,plain,
    sum(sum(pred('#skF_4'),succ('#skF_4')),sum(pred('#skF_4'),succ('#skF_4'))) = '#skF_5',
    inference(demodulation,[status(thm),theory(equality)],[c_49930,c_49930,c_148]) ).

tff(c_50547,plain,
    '#skF_5' = '#skF_6',
    inference(demodulation,[status(thm),theory(equality)],[c_49932,c_49933]) ).

tff(c_142,plain,
    sum(sum(pred('#skF_5'),succ('#skF_5')),sum(pred('#skF_6'),succ('#skF_6'))) = '#skF_8',
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_50553,plain,
    sum(sum(pred('#skF_6'),succ('#skF_6')),sum(pred('#skF_6'),succ('#skF_6'))) = '#skF_8',
    inference(demodulation,[status(thm),theory(equality)],[c_50547,c_50547,c_142]) ).

tff(c_144,plain,
    sum(sum(pred('#skF_5'),succ('#skF_6')),sum(pred('#skF_6'),succ('#skF_5'))) = '#skF_7',
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_50552,plain,
    sum(sum(pred('#skF_6'),succ('#skF_6')),sum(pred('#skF_6'),succ('#skF_6'))) = '#skF_7',
    inference(demodulation,[status(thm),theory(equality)],[c_50547,c_50547,c_144]) ).

tff(c_50562,plain,
    '#skF_7' = '#skF_8',
    inference(demodulation,[status(thm),theory(equality)],[c_50553,c_50552]) ).

tff(c_140,plain,
    sum(sum(pred('#skF_7'),succ('#skF_8')),sum(pred('#skF_8'),succ('#skF_7'))) = '#skF_9',
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_50568,plain,
    sum(sum(pred('#skF_8'),succ('#skF_8')),sum(pred('#skF_8'),succ('#skF_8'))) = '#skF_9',
    inference(demodulation,[status(thm),theory(equality)],[c_50562,c_50562,c_140]) ).

tff(c_138,plain,
    sum(sum(pred('#skF_7'),succ('#skF_7')),sum(pred('#skF_8'),succ('#skF_8'))) = '#skF_10',
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_50567,plain,
    sum(sum(pred('#skF_8'),succ('#skF_8')),sum(pred('#skF_8'),succ('#skF_8'))) = '#skF_10',
    inference(demodulation,[status(thm),theory(equality)],[c_50562,c_50562,c_138]) ).

tff(c_50577,plain,
    '#skF_10' = '#skF_9',
    inference(demodulation,[status(thm),theory(equality)],[c_50568,c_50567]) ).

tff(c_134,plain,
    sum(sum(pred('#skF_9'),succ('#skF_9')),sum(pred('#skF_10'),succ('#skF_10'))) = '#skF_12',
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_50582,plain,
    sum(sum(pred('#skF_9'),succ('#skF_9')),sum(pred('#skF_9'),succ('#skF_9'))) = '#skF_12',
    inference(demodulation,[status(thm),theory(equality)],[c_50577,c_50577,c_134]) ).

tff(c_136,plain,
    sum(sum(pred('#skF_9'),succ('#skF_10')),sum(pred('#skF_10'),succ('#skF_9'))) = '#skF_11',
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_50583,plain,
    sum(sum(pred('#skF_9'),succ('#skF_9')),sum(pred('#skF_9'),succ('#skF_9'))) = '#skF_11',
    inference(demodulation,[status(thm),theory(equality)],[c_50577,c_50577,c_136]) ).

tff(c_50592,plain,
    '#skF_11' = '#skF_12',
    inference(demodulation,[status(thm),theory(equality)],[c_50582,c_50583]) ).

tff(c_132,plain,
    sum(sum(pred('#skF_11'),succ('#skF_12')),sum(pred('#skF_12'),succ('#skF_11'))) = '#skF_13',
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_50593,plain,
    sum(sum(pred('#skF_12'),succ('#skF_12')),sum(pred('#skF_12'),succ('#skF_12'))) = '#skF_13',
    inference(demodulation,[status(thm),theory(equality)],[c_50592,c_50592,c_132]) ).

tff(c_130,plain,
    sum(sum(pred('#skF_11'),succ('#skF_11')),sum(pred('#skF_12'),succ('#skF_12'))) = '#skF_14',
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_50594,plain,
    sum(sum(pred('#skF_12'),succ('#skF_12')),sum(pred('#skF_12'),succ('#skF_12'))) = '#skF_14',
    inference(demodulation,[status(thm),theory(equality)],[c_50592,c_50592,c_130]) ).

tff(c_50603,plain,
    '#skF_14' = '#skF_13',
    inference(demodulation,[status(thm),theory(equality)],[c_50593,c_50594]) ).

tff(c_126,plain,
    sum(sum(pred('#skF_13'),succ('#skF_13')),sum(pred('#skF_14'),succ('#skF_14'))) = '#skF_16',
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_50605,plain,
    sum(sum(pred('#skF_13'),succ('#skF_13')),sum(pred('#skF_13'),succ('#skF_13'))) = '#skF_16',
    inference(demodulation,[status(thm),theory(equality)],[c_50603,c_50603,c_126]) ).

tff(c_128,plain,
    sum(sum(pred('#skF_13'),succ('#skF_14')),sum(pred('#skF_14'),succ('#skF_13'))) = '#skF_15',
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_50604,plain,
    sum(sum(pred('#skF_13'),succ('#skF_13')),sum(pred('#skF_13'),succ('#skF_13'))) = '#skF_15',
    inference(demodulation,[status(thm),theory(equality)],[c_50603,c_50603,c_128]) ).

tff(c_50614,plain,
    '#skF_15' = '#skF_16',
    inference(demodulation,[status(thm),theory(equality)],[c_50605,c_50604]) ).

tff(c_124,plain,
    sum(sum(pred('#skF_15'),succ('#skF_16')),sum(pred('#skF_16'),succ('#skF_15'))) = '#skF_17',
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_50619,plain,
    sum(sum(pred('#skF_16'),succ('#skF_16')),sum(pred('#skF_16'),succ('#skF_16'))) = '#skF_17',
    inference(demodulation,[status(thm),theory(equality)],[c_50614,c_50614,c_124]) ).

tff(c_122,plain,
    sum(sum(pred('#skF_15'),succ('#skF_15')),sum(pred('#skF_16'),succ('#skF_16'))) = '#skF_18',
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_50620,plain,
    sum(sum(pred('#skF_16'),succ('#skF_16')),sum(pred('#skF_16'),succ('#skF_16'))) = '#skF_18',
    inference(demodulation,[status(thm),theory(equality)],[c_50614,c_50614,c_122]) ).

tff(c_50629,plain,
    '#skF_18' = '#skF_17',
    inference(demodulation,[status(thm),theory(equality)],[c_50619,c_50620]) ).

tff(c_120,plain,
    sum(sum(pred('#skF_17'),succ('#skF_18')),sum(pred('#skF_18'),succ('#skF_17'))) = '#skF_19',
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_50630,plain,
    sum(sum(pred('#skF_17'),succ('#skF_17')),sum(pred('#skF_17'),succ('#skF_17'))) = '#skF_19',
    inference(demodulation,[status(thm),theory(equality)],[c_50629,c_50629,c_120]) ).

tff(c_118,plain,
    sum(sum(pred('#skF_17'),succ('#skF_17')),sum(pred('#skF_18'),succ('#skF_18'))) = '#skF_20',
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_50631,plain,
    sum(sum(pred('#skF_17'),succ('#skF_17')),sum(pred('#skF_17'),succ('#skF_17'))) = '#skF_20',
    inference(demodulation,[status(thm),theory(equality)],[c_50629,c_50629,c_118]) ).

tff(c_50640,plain,
    '#skF_20' = '#skF_19',
    inference(demodulation,[status(thm),theory(equality)],[c_50630,c_50631]) ).

tff(c_114,plain,
    sum(sum(pred('#skF_19'),succ('#skF_19')),sum(pred('#skF_20'),succ('#skF_20'))) = '#skF_22',
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_50642,plain,
    sum(sum(pred('#skF_19'),succ('#skF_19')),sum(pred('#skF_19'),succ('#skF_19'))) = '#skF_22',
    inference(demodulation,[status(thm),theory(equality)],[c_50640,c_50640,c_114]) ).

tff(c_116,plain,
    sum(sum(pred('#skF_19'),succ('#skF_20')),sum(pred('#skF_20'),succ('#skF_19'))) = '#skF_21',
    inference(cnfTransformation,[status(thm)],[f_590]) ).

tff(c_50641,plain,
    sum(sum(pred('#skF_19'),succ('#skF_19')),sum(pred('#skF_19'),succ('#skF_19'))) = '#skF_21',
    inference(demodulation,[status(thm),theory(equality)],[c_50640,c_50640,c_116]) ).

tff(c_50651,plain,
    '#skF_21' = '#skF_22',
    inference(demodulation,[status(thm),theory(equality)],[c_50642,c_50641]) ).

tff(c_49929,plain,
    ( ( '#skF_5' != '#skF_6' )
    | ( '#skF_7' != '#skF_8' )
    | ( '#skF_10' != '#skF_9' )
    | ( '#skF_11' != '#skF_12' )
    | ( '#skF_14' != '#skF_13' )
    | ( '#skF_15' != '#skF_16' )
    | ( '#skF_18' != '#skF_17' )
    | ( '#skF_20' != '#skF_19' )
    | ( '#skF_21' != '#skF_22' ) ),
    inference(splitRight,[status(thm)],[c_112]) ).

tff(c_50661,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_50651,c_50640,c_50629,c_50614,c_50603,c_50592,c_50577,c_50562,c_50547,c_49929]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : NUM377+1.010 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36  % Computer : n018.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 15:17:35 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 34.47/18.78  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.99/19.11  
% 34.99/19.11  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 35.40/19.21  
% 35.40/19.21  Inference rules
% 35.40/19.21  ----------------------
% 35.40/19.21  #Ref     : 0
% 35.40/19.21  #Sup     : 18736
% 35.40/19.21  #Fact    : 0
% 35.40/19.21  #Define  : 0
% 35.40/19.21  #Split   : 123
% 35.40/19.21  #Chain   : 0
% 35.40/19.21  #Close   : 0
% 35.40/19.21  
% 35.40/19.21  Ordering : KBO
% 35.40/19.21  
% 35.40/19.21  Simplification rules
% 35.40/19.21  ----------------------
% 35.40/19.21  #Subsume      : 731
% 35.40/19.21  #Demod        : 13773
% 35.40/19.21  #Tautology    : 18736
% 35.40/19.21  #SimpNegUnit  : 121
% 35.40/19.21  #BackRed      : 11731
% 35.40/19.21  
% 35.40/19.21  #Partial instantiations: 0
% 35.40/19.21  #Strategies tried      : 1
% 35.40/19.21  
% 35.40/19.21  Timing (in seconds)
% 35.40/19.21  ----------------------
% 35.40/19.22  Preprocessing        : 0.67
% 35.40/19.22  Parsing              : 0.34
% 35.40/19.22  CNF conversion       : 0.05
% 35.40/19.22  Main loop            : 17.07
% 35.40/19.22  Inferencing          : 5.11
% 35.40/19.22  Reduction            : 7.19
% 35.40/19.22  Demodulation         : 5.19
% 35.40/19.22  BG Simplification    : 0.09
% 35.40/19.22  Subsumption          : 3.49
% 35.40/19.22  Abstraction          : 0.13
% 35.40/19.22  MUC search           : 0.00
% 35.40/19.22  Cooper               : 0.00
% 35.40/19.22  Total                : 18.19
% 35.40/19.22  Index Insertion      : 0.00
% 35.40/19.22  Index Deletion       : 0.00
% 35.40/19.22  Index Matching       : 0.00
% 35.40/19.22  BG Taut test         : 0.00
%------------------------------------------------------------------------------