TSTP Solution File: NUM376+1.015 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : NUM376+1.015 : 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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n027.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 10:51:20 EDT 2023

% Result   : Unsatisfiable 63.91s 48.35s
% Output   : CNFRefutation 65.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   22
% Syntax   : Number of formulae    : 2396 (2124 unt;  21 typ;   0 def)
%            Number of atoms       : 4441 (4185 equ)
%            Maximal formula atoms :  441 (   1 avg)
%            Number of connectives : 2611 ( 545   ~;1656   |; 410   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  414 (   2 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    :   21 (  21 usr;  18 con; 0-2 aty)
%            Number of variables   :    2 (;   0   !;   2   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ sum > #nlpp > succ > pred > n9 > n8 > n7 > n6 > n5 > n4 > n3 > n2 > n15 > n14 > n13 > n12 > n11 > n10 > n1 > n0 > #skF_2 > #skF_1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(n12,type,
    n12: $i ).

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

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

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

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

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

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

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

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

tff(n13,type,
    n13: $i ).

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

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

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

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

tff(n14,type,
    n14: $i ).

tff(n15,type,
    n15: $i ).

tff(n11,type,
    n11: $i ).

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

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

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

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

tff(f_1029,axiom,
    ? [X,Y] :
      ( ( 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) = n11 )
      & ( succ(n11) = n12 )
      & ( succ(n12) = n13 )
      & ( succ(n13) = n14 )
      & ( succ(n14) = n15 )
      & ( succ(n15) = n0 )
      & ( pred(n0) = n15 )
      & ( 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 )
      & ( pred(n11) = n10 )
      & ( pred(n12) = n11 )
      & ( pred(n13) = n12 )
      & ( pred(n14) = n13 )
      & ( pred(n15) = n14 )
      & ( 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(n0,n11) = n11 )
      & ( sum(n0,n12) = n12 )
      & ( sum(n0,n13) = n13 )
      & ( sum(n0,n14) = n14 )
      & ( sum(n0,n15) = n15 )
      & ( 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) = n11 )
      & ( sum(n1,n11) = n12 )
      & ( sum(n1,n12) = n13 )
      & ( sum(n1,n13) = n14 )
      & ( sum(n1,n14) = n15 )
      & ( sum(n1,n15) = 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) = n11 )
      & ( sum(n2,n10) = n12 )
      & ( sum(n2,n11) = n13 )
      & ( sum(n2,n12) = n14 )
      & ( sum(n2,n13) = n15 )
      & ( sum(n2,n14) = n0 )
      & ( sum(n2,n15) = 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) = n11 )
      & ( sum(n3,n9) = n12 )
      & ( sum(n3,n10) = n13 )
      & ( sum(n3,n11) = n14 )
      & ( sum(n3,n12) = n15 )
      & ( sum(n3,n13) = n0 )
      & ( sum(n3,n14) = n1 )
      & ( sum(n3,n15) = 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) = n11 )
      & ( sum(n4,n8) = n12 )
      & ( sum(n4,n9) = n13 )
      & ( sum(n4,n10) = n14 )
      & ( sum(n4,n11) = n15 )
      & ( sum(n4,n12) = n0 )
      & ( sum(n4,n13) = n1 )
      & ( sum(n4,n14) = n2 )
      & ( sum(n4,n15) = 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) = n11 )
      & ( sum(n5,n7) = n12 )
      & ( sum(n5,n8) = n13 )
      & ( sum(n5,n9) = n14 )
      & ( sum(n5,n10) = n15 )
      & ( sum(n5,n11) = n0 )
      & ( sum(n5,n12) = n1 )
      & ( sum(n5,n13) = n2 )
      & ( sum(n5,n14) = n3 )
      & ( sum(n5,n15) = n4 )
      & ( sum(n6,n0) = n6 )
      & ( sum(n6,n1) = n7 )
      & ( sum(n6,n2) = n8 )
      & ( sum(n6,n3) = n9 )
      & ( sum(n6,n4) = n10 )
      & ( sum(n6,n5) = n11 )
      & ( sum(n6,n6) = n12 )
      & ( sum(n6,n7) = n13 )
      & ( sum(n6,n8) = n14 )
      & ( sum(n6,n9) = n15 )
      & ( sum(n6,n10) = n0 )
      & ( sum(n6,n11) = n1 )
      & ( sum(n6,n12) = n2 )
      & ( sum(n6,n13) = n3 )
      & ( sum(n6,n14) = n4 )
      & ( sum(n6,n15) = n5 )
      & ( sum(n7,n0) = n7 )
      & ( sum(n7,n1) = n8 )
      & ( sum(n7,n2) = n9 )
      & ( sum(n7,n3) = n10 )
      & ( sum(n7,n4) = n11 )
      & ( sum(n7,n5) = n12 )
      & ( sum(n7,n6) = n13 )
      & ( sum(n7,n7) = n14 )
      & ( sum(n7,n8) = n15 )
      & ( sum(n7,n9) = n0 )
      & ( sum(n7,n10) = n1 )
      & ( sum(n7,n11) = n2 )
      & ( sum(n7,n12) = n3 )
      & ( sum(n7,n13) = n4 )
      & ( sum(n7,n14) = n5 )
      & ( sum(n7,n15) = n6 )
      & ( sum(n8,n0) = n8 )
      & ( sum(n8,n1) = n9 )
      & ( sum(n8,n2) = n10 )
      & ( sum(n8,n3) = n11 )
      & ( sum(n8,n4) = n12 )
      & ( sum(n8,n5) = n13 )
      & ( sum(n8,n6) = n14 )
      & ( sum(n8,n7) = n15 )
      & ( sum(n8,n8) = n0 )
      & ( sum(n8,n9) = n1 )
      & ( sum(n8,n10) = n2 )
      & ( sum(n8,n11) = n3 )
      & ( sum(n8,n12) = n4 )
      & ( sum(n8,n13) = n5 )
      & ( sum(n8,n14) = n6 )
      & ( sum(n8,n15) = n7 )
      & ( sum(n9,n0) = n9 )
      & ( sum(n9,n1) = n10 )
      & ( sum(n9,n2) = n11 )
      & ( sum(n9,n3) = n12 )
      & ( sum(n9,n4) = n13 )
      & ( sum(n9,n5) = n14 )
      & ( sum(n9,n6) = n15 )
      & ( sum(n9,n7) = n0 )
      & ( sum(n9,n8) = n1 )
      & ( sum(n9,n9) = n2 )
      & ( sum(n9,n10) = n3 )
      & ( sum(n9,n11) = n4 )
      & ( sum(n9,n12) = n5 )
      & ( sum(n9,n13) = n6 )
      & ( sum(n9,n14) = n7 )
      & ( sum(n9,n15) = n8 )
      & ( sum(n10,n0) = n10 )
      & ( sum(n10,n1) = n11 )
      & ( sum(n10,n2) = n12 )
      & ( sum(n10,n3) = n13 )
      & ( sum(n10,n4) = n14 )
      & ( sum(n10,n5) = n15 )
      & ( sum(n10,n6) = n0 )
      & ( sum(n10,n7) = n1 )
      & ( sum(n10,n8) = n2 )
      & ( sum(n10,n9) = n3 )
      & ( sum(n10,n10) = n4 )
      & ( sum(n10,n11) = n5 )
      & ( sum(n10,n12) = n6 )
      & ( sum(n10,n13) = n7 )
      & ( sum(n10,n14) = n8 )
      & ( sum(n10,n15) = n9 )
      & ( sum(n11,n0) = n11 )
      & ( sum(n11,n1) = n12 )
      & ( sum(n11,n2) = n13 )
      & ( sum(n11,n3) = n14 )
      & ( sum(n11,n4) = n15 )
      & ( sum(n11,n5) = n0 )
      & ( sum(n11,n6) = n1 )
      & ( sum(n11,n7) = n2 )
      & ( sum(n11,n8) = n3 )
      & ( sum(n11,n9) = n4 )
      & ( sum(n11,n10) = n5 )
      & ( sum(n11,n11) = n6 )
      & ( sum(n11,n12) = n7 )
      & ( sum(n11,n13) = n8 )
      & ( sum(n11,n14) = n9 )
      & ( sum(n11,n15) = n10 )
      & ( sum(n12,n0) = n12 )
      & ( sum(n12,n1) = n13 )
      & ( sum(n12,n2) = n14 )
      & ( sum(n12,n3) = n15 )
      & ( sum(n12,n4) = n0 )
      & ( sum(n12,n5) = n1 )
      & ( sum(n12,n6) = n2 )
      & ( sum(n12,n7) = n3 )
      & ( sum(n12,n8) = n4 )
      & ( sum(n12,n9) = n5 )
      & ( sum(n12,n10) = n6 )
      & ( sum(n12,n11) = n7 )
      & ( sum(n12,n12) = n8 )
      & ( sum(n12,n13) = n9 )
      & ( sum(n12,n14) = n10 )
      & ( sum(n12,n15) = n11 )
      & ( sum(n13,n0) = n13 )
      & ( sum(n13,n1) = n14 )
      & ( sum(n13,n2) = n15 )
      & ( sum(n13,n3) = n0 )
      & ( sum(n13,n4) = n1 )
      & ( sum(n13,n5) = n2 )
      & ( sum(n13,n6) = n3 )
      & ( sum(n13,n7) = n4 )
      & ( sum(n13,n8) = n5 )
      & ( sum(n13,n9) = n6 )
      & ( sum(n13,n10) = n7 )
      & ( sum(n13,n11) = n8 )
      & ( sum(n13,n12) = n9 )
      & ( sum(n13,n13) = n10 )
      & ( sum(n13,n14) = n11 )
      & ( sum(n13,n15) = n12 )
      & ( sum(n14,n0) = n14 )
      & ( sum(n14,n1) = n15 )
      & ( sum(n14,n2) = n0 )
      & ( sum(n14,n3) = n1 )
      & ( sum(n14,n4) = n2 )
      & ( sum(n14,n5) = n3 )
      & ( sum(n14,n6) = n4 )
      & ( sum(n14,n7) = n5 )
      & ( sum(n14,n8) = n6 )
      & ( sum(n14,n9) = n7 )
      & ( sum(n14,n10) = n8 )
      & ( sum(n14,n11) = n9 )
      & ( sum(n14,n12) = n10 )
      & ( sum(n14,n13) = n11 )
      & ( sum(n14,n14) = n12 )
      & ( sum(n14,n15) = n13 )
      & ( sum(n15,n0) = n15 )
      & ( sum(n15,n1) = n0 )
      & ( sum(n15,n2) = n1 )
      & ( sum(n15,n3) = n2 )
      & ( sum(n15,n4) = n3 )
      & ( sum(n15,n5) = n4 )
      & ( sum(n15,n6) = n5 )
      & ( sum(n15,n7) = n6 )
      & ( sum(n15,n8) = n7 )
      & ( sum(n15,n9) = n8 )
      & ( sum(n15,n10) = n9 )
      & ( sum(n15,n11) = n10 )
      & ( sum(n15,n12) = n11 )
      & ( sum(n15,n13) = n12 )
      & ( sum(n15,n14) = n13 )
      & ( sum(n15,n15) = n14 )
      & ( ( X = n0 )
        | ( X = n1 )
        | ( X = n2 )
        | ( X = n3 )
        | ( X = n4 )
        | ( X = n5 )
        | ( X = n6 )
        | ( X = n7 )
        | ( X = n8 )
        | ( X = n9 )
        | ( X = n10 )
        | ( X = n11 )
        | ( X = n12 )
        | ( X = n13 )
        | ( X = n14 )
        | ( X = n15 ) )
      & ( ( Y = n0 )
        | ( Y = n1 )
        | ( Y = n2 )
        | ( Y = n3 )
        | ( Y = n4 )
        | ( Y = n5 )
        | ( Y = n6 )
        | ( Y = n7 )
        | ( Y = n8 )
        | ( Y = n9 )
        | ( Y = n10 )
        | ( Y = n11 )
        | ( Y = n12 )
        | ( Y = n13 )
        | ( Y = n14 )
        | ( Y = n15 ) )
      & ( sum(sum(pred(X),succ(Y)),sum(pred(Y),succ(X))) != sum(sum(pred(X),succ(X)),sum(pred(Y),succ(Y))) )
      & ( n0 != n1 )
      & ( n0 != n2 )
      & ( n0 != n3 )
      & ( n0 != n4 )
      & ( n0 != n5 )
      & ( n0 != n6 )
      & ( n0 != n7 )
      & ( n0 != n8 )
      & ( n0 != n9 )
      & ( n0 != n10 )
      & ( n0 != n11 )
      & ( n0 != n12 )
      & ( n0 != n13 )
      & ( n0 != n14 )
      & ( n0 != n15 )
      & ( n1 != n2 )
      & ( n1 != n3 )
      & ( n1 != n4 )
      & ( n1 != n5 )
      & ( n1 != n6 )
      & ( n1 != n7 )
      & ( n1 != n8 )
      & ( n1 != n9 )
      & ( n1 != n10 )
      & ( n1 != n11 )
      & ( n1 != n12 )
      & ( n1 != n13 )
      & ( n1 != n14 )
      & ( n1 != n15 )
      & ( n2 != n3 )
      & ( n2 != n4 )
      & ( n2 != n5 )
      & ( n2 != n6 )
      & ( n2 != n7 )
      & ( n2 != n8 )
      & ( n2 != n9 )
      & ( n2 != n10 )
      & ( n2 != n11 )
      & ( n2 != n12 )
      & ( n2 != n13 )
      & ( n2 != n14 )
      & ( n2 != n15 )
      & ( n3 != n4 )
      & ( n3 != n5 )
      & ( n3 != n6 )
      & ( n3 != n7 )
      & ( n3 != n8 )
      & ( n3 != n9 )
      & ( n3 != n10 )
      & ( n3 != n11 )
      & ( n3 != n12 )
      & ( n3 != n13 )
      & ( n3 != n14 )
      & ( n3 != n15 )
      & ( n4 != n5 )
      & ( n4 != n6 )
      & ( n4 != n7 )
      & ( n4 != n8 )
      & ( n4 != n9 )
      & ( n4 != n10 )
      & ( n4 != n11 )
      & ( n4 != n12 )
      & ( n4 != n13 )
      & ( n4 != n14 )
      & ( n4 != n15 )
      & ( n5 != n6 )
      & ( n5 != n7 )
      & ( n5 != n8 )
      & ( n5 != n9 )
      & ( n5 != n10 )
      & ( n5 != n11 )
      & ( n5 != n12 )
      & ( n5 != n13 )
      & ( n5 != n14 )
      & ( n5 != n15 )
      & ( n6 != n7 )
      & ( n6 != n8 )
      & ( n6 != n9 )
      & ( n6 != n10 )
      & ( n6 != n11 )
      & ( n6 != n12 )
      & ( n6 != n13 )
      & ( n6 != n14 )
      & ( n6 != n15 )
      & ( n7 != n8 )
      & ( n7 != n9 )
      & ( n7 != n10 )
      & ( n7 != n11 )
      & ( n7 != n12 )
      & ( n7 != n13 )
      & ( n7 != n14 )
      & ( n7 != n15 )
      & ( n8 != n9 )
      & ( n8 != n10 )
      & ( n8 != n11 )
      & ( n8 != n12 )
      & ( n8 != n13 )
      & ( n8 != n14 )
      & ( n8 != n15 )
      & ( n9 != n10 )
      & ( n9 != n11 )
      & ( n9 != n12 )
      & ( n9 != n13 )
      & ( n9 != n14 )
      & ( n9 != n15 )
      & ( n10 != n11 )
      & ( n10 != n12 )
      & ( n10 != n13 )
      & ( n10 != n14 )
      & ( n10 != n15 )
      & ( n11 != n12 )
      & ( n11 != n13 )
      & ( n11 != n14 )
      & ( n11 != n15 )
      & ( n12 != n13 )
      & ( n12 != n14 )
      & ( n12 != n15 )
      & ( n13 != n14 )
      & ( n13 != n15 )
      & ( n14 != n15 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

tff(c_758,plain,
    sum(n0,n0) = n0,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_516,plain,
    sum(n7,n9) = n0,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_248,plain,
    sum(n15,n15) = n14,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_724,plain,
    sum(n1,n1) = n2,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_282,plain,
    sum(n14,n14) = n12,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_520,plain,
    sum(n7,n7) = n14,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_690,plain,
    sum(n2,n2) = n4,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_512,plain,
    sum(n7,n11) = n2,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_438,plain,
    sum(n10,n0) = n10,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_618,plain,
    sum(n4,n6) = n10,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_656,plain,
    sum(n3,n3) = n6,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_510,plain,
    sum(n7,n12) = n3,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_550,plain,
    sum(n6,n8) = n14,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_666,plain,
    sum(n2,n14) = n0,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_482,plain,
    sum(n8,n10) = n2,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_316,plain,
    sum(n13,n13) = n10,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_602,plain,
    sum(n4,n14) = n2,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_448,plain,
    sum(n9,n11) = n4,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_350,plain,
    sum(n12,n12) = n8,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_554,plain,
    sum(n6,n6) = n12,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_542,plain,
    sum(n6,n12) = n2,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_474,plain,
    sum(n8,n14) = n6,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_652,plain,
    sum(n3,n5) = n8,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_540,plain,
    sum(n6,n13) = n3,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_418,plain,
    sum(n10,n10) = n4,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_558,plain,
    sum(n6,n4) = n10,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_486,plain,
    sum(n8,n8) = n0,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_488,plain,
    sum(n8,n7) = n15,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_490,plain,
    sum(n8,n6) = n14,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_622,plain,
    sum(n4,n4) = n8,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_478,plain,
    sum(n8,n12) = n4,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_642,plain,
    sum(n3,n10) = n13,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_588,plain,
    sum(n5,n5) = n10,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_476,plain,
    sum(n8,n13) = n5,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_494,plain,
    sum(n8,n4) = n12,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_580,plain,
    sum(n5,n9) = n14,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_578,plain,
    sum(n5,n10) = n15,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_584,plain,
    sum(n5,n7) = n12,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_606,plain,
    sum(n4,n12) = n0,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_452,plain,
    sum(n9,n9) = n2,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_454,plain,
    sum(n9,n8) = n1,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_456,plain,
    sum(n9,n7) = n0,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_458,plain,
    sum(n9,n6) = n15,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_522,plain,
    sum(n7,n6) = n13,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_614,plain,
    sum(n4,n8) = n12,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_674,plain,
    sum(n2,n10) = n12,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_604,plain,
    sum(n4,n13) = n1,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_420,plain,
    sum(n10,n9) = n3,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_414,plain,
    sum(n10,n12) = n6,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_428,plain,
    sum(n10,n5) = n15,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_430,plain,
    sum(n10,n4) = n14,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_410,plain,
    sum(n10,n14) = n8,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_702,plain,
    sum(n1,n12) = n13,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_384,plain,
    sum(n11,n11) = n6,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_556,plain,
    sum(n6,n5) = n11,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_390,plain,
    sum(n11,n8) = n3,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_678,plain,
    sum(n2,n8) = n10,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_572,plain,
    sum(n5,n13) = n2,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_676,plain,
    sum(n2,n9) = n11,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_670,plain,
    sum(n2,n12) = n14,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_380,plain,
    sum(n11,n13) = n8,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_686,plain,
    sum(n2,n4) = n6,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_362,plain,
    sum(n12,n6) = n2,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_312,plain,
    sum(n13,n15) = n12,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_682,plain,
    sum(n2,n6) = n8,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_754,plain,
    sum(n0,n2) = n2,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_506,plain,
    sum(n7,n14) = n5,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_358,plain,
    sum(n12,n8) = n4,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_546,plain,
    sum(n6,n10) = n0,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_364,plain,
    sum(n12,n5) = n1,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_366,plain,
    sum(n12,n4) = n0,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_346,plain,
    sum(n12,n14) = n10,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_698,plain,
    sum(n1,n14) = n15,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_730,plain,
    sum(n0,n14) = n14,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_374,plain,
    sum(n12,n0) = n12,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_708,plain,
    sum(n1,n9) = n10,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_324,plain,
    sum(n13,n9) = n6,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_326,plain,
    sum(n13,n8) = n5,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_740,plain,
    sum(n0,n9) = n9,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_562,plain,
    sum(n6,n2) = n8,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_738,plain,
    sum(n0,n10) = n10,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_594,plain,
    sum(n5,n2) = n7,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_626,plain,
    sum(n4,n2) = n6,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_734,plain,
    sum(n0,n12) = n12,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_658,plain,
    sum(n3,n2) = n5,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_498,plain,
    sum(n8,n2) = n10,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_750,plain,
    sum(n0,n4) = n4,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_434,plain,
    sum(n10,n2) = n12,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_306,plain,
    sum(n14,n2) = n0,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_310,plain,
    sum(n14,n0) = n14,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_292,plain,
    sum(n14,n9) = n7,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_294,plain,
    sum(n14,n8) = n6,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_502,plain,
    sum(n8,n0) = n8,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_296,plain,
    sum(n14,n7) = n5,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_470,plain,
    sum(n9,n0) = n9,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_630,plain,
    sum(n4,n0) = n4,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_300,plain,
    sum(n14,n5) = n3,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_406,plain,
    sum(n11,n0) = n11,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_302,plain,
    sum(n14,n4) = n2,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_244,plain,
    ( ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( 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_1029]) ).

tff(c_1975,plain,
    n0 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_244]) ).

tff(c_246,plain,
    ( ( n15 = '#skF_1' )
    | ( n14 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( 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_1029]) ).

tff(c_2045,plain,
    ( ( n15 = '#skF_1' )
    | ( n14 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( 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_1975,c_246]) ).

tff(c_2046,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_2045]) ).

tff(c_242,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_2064,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2046,c_2046,c_2046,c_2046,c_242]) ).

tff(c_2065,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' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' )
    | ( n15 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_2045]) ).

tff(c_2269,plain,
    n15 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_2065]) ).

tff(c_2316,plain,
    sum('#skF_1','#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_2269,c_2269,c_248]) ).

tff(c_278,plain,
    sum(n15,n0) = n15,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_2008,plain,
    sum(n15,'#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_1975,c_278]) ).

tff(c_2272,plain,
    sum('#skF_1','#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_2269,c_2269,c_2008]) ).

tff(c_308,plain,
    sum(n14,n1) = n15,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_2317,plain,
    sum(n14,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_2269,c_308]) ).

tff(c_2014,plain,
    sum(n14,'#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_1975,c_310]) ).

tff(c_792,plain,
    succ(n15) = n0,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_2025,plain,
    succ(n15) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_1975,c_792]) ).

tff(c_2276,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_2269,c_2025]) ).

tff(c_760,plain,
    pred(n15) = n14,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_2320,plain,
    pred('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_2269,c_760]) ).

tff(c_276,plain,
    sum(n15,n1) = n0,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_2013,plain,
    sum(n15,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_1975,c_276]) ).

tff(c_822,plain,
    succ(n0) = n1,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_2022,plain,
    succ('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_1975,c_822]) ).

tff(c_790,plain,
    pred(n0) = n15,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_2024,plain,
    pred('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_1975,c_790]) ).

tff(c_2075,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n15,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n15,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_2024,c_2024,c_242]) ).

tff(c_2268,plain,
    sum(sum(pred('#skF_1'),n1),sum(n15,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_2013,c_2022,c_2022,c_2075]) ).

tff(c_2270,plain,
    sum(sum(pred('#skF_1'),n1),sum('#skF_1',succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_2269,c_2268]) ).

tff(c_2536,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2316,c_2272,c_2317,c_2014,c_2014,c_2276,c_2276,c_2320,c_2320,c_2270]) ).

tff(c_2537,plain,
    ( ( n14 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_2065]) ).

tff(c_2539,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_2537]) ).

tff(c_2581,plain,
    sum('#skF_1','#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_2539,c_2539,c_724]) ).

tff(c_756,plain,
    sum(n0,n1) = n1,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_1996,plain,
    sum('#skF_2',n1) = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_1975,c_756]) ).

tff(c_2543,plain,
    sum('#skF_2','#skF_1') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_2539,c_2539,c_1996]) ).

tff(c_274,plain,
    sum(n15,n2) = n1,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_2569,plain,
    sum(n15,n2) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_2539,c_274]) ).

tff(c_694,plain,
    sum(n2,n0) = n2,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_2007,plain,
    sum(n2,'#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_1975,c_694]) ).

tff(c_2016,plain,
    sum('#skF_2',n2) = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_1975,c_754]) ).

tff(c_788,plain,
    pred(n1) = n0,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_2023,plain,
    pred(n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_1975,c_788]) ).

tff(c_2546,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_2539,c_2023]) ).

tff(c_820,plain,
    succ(n1) = n2,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_2590,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_2539,c_820]) ).

tff(c_2540,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n15,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_2539,c_2268]) ).

tff(c_2806,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2581,c_2543,c_2569,c_2007,c_2016,c_2546,c_2546,c_2590,c_2590,c_2540]) ).

tff(c_2807,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' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_2537]) ).

tff(c_2809,plain,
    n14 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_2807]) ).

tff(c_2830,plain,
    sum('#skF_1','#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_2809,c_2809,c_282]) ).

tff(c_340,plain,
    sum(n13,n1) = n14,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_2844,plain,
    sum(n13,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_2809,c_340]) ).

tff(c_2851,plain,
    sum(n15,n15) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_2809,c_248]) ).

tff(c_1978,plain,
    sum(n12,'#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_1975,c_374]) ).

tff(c_762,plain,
    pred(n14) = n13,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_2858,plain,
    pred('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_2809,c_762]) ).

tff(c_794,plain,
    succ(n14) = n15,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_2857,plain,
    succ('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_2809,c_794]) ).

tff(c_2878,plain,
    sum(sum(pred('#skF_1'),n1),sum(n15,n15)) != sum(sum(pred('#skF_1'),n15),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_2857,c_2857,c_2268]) ).

tff(c_3076,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2830,c_2844,c_2851,c_1978,c_312,c_2858,c_2858,c_2878]) ).

tff(c_3077,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_2807]) ).

tff(c_3079,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_3077]) ).

tff(c_3116,plain,
    sum('#skF_1','#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_3079,c_3079,c_690]) ).

tff(c_272,plain,
    sum(n15,n3) = n2,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_3093,plain,
    sum(n15,n3) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_3079,c_272]) ).

tff(c_3122,plain,
    sum(n1,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_3079,c_724]) ).

tff(c_1977,plain,
    sum(n4,'#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_1975,c_630]) ).

tff(c_720,plain,
    sum(n1,n3) = n4,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_818,plain,
    succ(n2) = n3,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_3126,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_3079,c_818]) ).

tff(c_786,plain,
    pred(n2) = n1,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_3128,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_3079,c_786]) ).

tff(c_3152,plain,
    sum(sum(n1,n1),sum(n15,succ('#skF_1'))) != sum(sum(n1,succ('#skF_1')),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_3128,c_3128,c_2268]) ).

tff(c_3346,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_3116,c_3093,c_3122,c_1977,c_720,c_3126,c_3126,c_3152]) ).

tff(c_3347,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_3077]) ).

tff(c_3349,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_3347]) ).

tff(c_3387,plain,
    sum('#skF_1','#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_3349,c_3349,c_316]) ).

tff(c_250,plain,
    sum(n15,n14) = n13,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_3355,plain,
    sum(n15,n14) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_3349,c_250]) ).

tff(c_372,plain,
    sum(n12,n1) = n13,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_3358,plain,
    sum(n12,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_3349,c_372]) ).

tff(c_2018,plain,
    sum(n10,'#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_1975,c_438]) ).

tff(c_764,plain,
    pred(n13) = n12,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_3398,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_3349,c_764]) ).

tff(c_796,plain,
    succ(n13) = n14,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_3397,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_3349,c_796]) ).

tff(c_3418,plain,
    sum(sum(pred('#skF_1'),n1),sum(n15,n14)) != sum(sum(pred('#skF_1'),n14),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_3397,c_3397,c_2268]) ).

tff(c_3616,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_3387,c_3355,c_3358,c_2018,c_346,c_3398,c_3398,c_3418]) ).

tff(c_3617,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_3347]) ).

tff(c_3619,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_3617]) ).

tff(c_3634,plain,
    sum('#skF_1','#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_3619,c_3619,c_656]) ).

tff(c_692,plain,
    sum(n2,n1) = n3,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_3626,plain,
    sum(n2,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_3619,c_692]) ).

tff(c_270,plain,
    sum(n15,n4) = n3,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_3659,plain,
    sum(n15,n4) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_3619,c_270]) ).

tff(c_566,plain,
    sum(n6,n0) = n6,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_1990,plain,
    sum(n6,'#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_1975,c_566]) ).

tff(c_816,plain,
    succ(n3) = n4,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_3669,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_3619,c_816]) ).

tff(c_784,plain,
    pred(n3) = n2,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_3668,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_3619,c_784]) ).

tff(c_3692,plain,
    sum(sum(n2,n1),sum(n15,succ('#skF_1'))) != sum(sum(n2,succ('#skF_1')),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_3668,c_3668,c_2268]) ).

tff(c_3886,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_3634,c_3626,c_3659,c_1990,c_686,c_3669,c_3669,c_3692]) ).

tff(c_3887,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_3617]) ).

tff(c_3889,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_3887]) ).

tff(c_3928,plain,
    sum('#skF_1','#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_3889,c_3889,c_350]) ).

tff(c_252,plain,
    sum(n15,n13) = n12,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_3919,plain,
    sum(n15,n13) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_3889,c_252]) ).

tff(c_404,plain,
    sum(n11,n1) = n12,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_3911,plain,
    sum(n11,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_3889,c_404]) ).

tff(c_1991,plain,
    sum(n8,'#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_1975,c_502]) ).

tff(c_766,plain,
    pred(n12) = n11,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_3938,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_3889,c_766]) ).

tff(c_798,plain,
    succ(n12) = n13,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_3937,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_3889,c_798]) ).

tff(c_3958,plain,
    sum(sum(pred('#skF_1'),n1),sum(n15,n13)) != sum(sum(pred('#skF_1'),n13),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_3937,c_3937,c_2268]) ).

tff(c_4156,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_3928,c_3919,c_3911,c_1991,c_380,c_3938,c_3938,c_3958]) ).

tff(c_4157,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_3887]) ).

tff(c_4159,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_4157]) ).

tff(c_4169,plain,
    sum('#skF_1','#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_4159,c_4159,c_622]) ).

tff(c_268,plain,
    sum(n15,n5) = n4,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_4178,plain,
    sum(n15,n5) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_4159,c_268]) ).

tff(c_660,plain,
    sum(n3,n1) = n4,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_4180,plain,
    sum(n3,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_4159,c_660]) ).

tff(c_782,plain,
    pred(n4) = n3,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_4207,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_4159,c_782]) ).

tff(c_814,plain,
    succ(n4) = n5,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_4208,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_4159,c_814]) ).

tff(c_4236,plain,
    sum(sum(pred('#skF_1'),n1),sum(n15,n5)) != sum(sum(pred('#skF_1'),n5),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_4208,c_4208,c_2268]) ).

tff(c_4426,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4169,c_4178,c_4180,c_1991,c_652,c_4207,c_4207,c_4236]) ).

tff(c_4427,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_4157]) ).

tff(c_4429,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_4427]) ).

tff(c_4447,plain,
    sum('#skF_1','#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_4429,c_4429,c_384]) ).

tff(c_254,plain,
    sum(n15,n12) = n11,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_4435,plain,
    sum(n15,n12) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_4429,c_254]) ).

tff(c_436,plain,
    sum(n10,n1) = n11,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_4463,plain,
    sum(n10,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_4429,c_436]) ).

tff(c_800,plain,
    succ(n11) = n12,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_4477,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_4429,c_800]) ).

tff(c_768,plain,
    pred(n11) = n10,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_4478,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_4429,c_768]) ).

tff(c_4506,plain,
    sum(sum(n10,n1),sum(n15,succ('#skF_1'))) != sum(sum(n10,succ('#skF_1')),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_4478,c_4478,c_2268]) ).

tff(c_4696,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4447,c_4435,c_4463,c_1990,c_414,c_4477,c_4477,c_4506]) ).

tff(c_4697,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_4427]) ).

tff(c_4699,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_4697]) ).

tff(c_4713,plain,
    sum('#skF_1','#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_4699,c_4699,c_588]) ).

tff(c_266,plain,
    sum(n15,n6) = n5,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_4744,plain,
    sum(n15,n6) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_4699,c_266]) ).

tff(c_628,plain,
    sum(n4,n1) = n5,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_4732,plain,
    sum(n4,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_4699,c_628]) ).

tff(c_812,plain,
    succ(n5) = n6,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_4746,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_4699,c_812]) ).

tff(c_780,plain,
    pred(n5) = n4,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_4747,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_4699,c_780]) ).

tff(c_4768,plain,
    sum(sum(n4,n1),sum(n15,succ('#skF_1'))) != sum(sum(n4,succ('#skF_1')),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_4747,c_4747,c_2268]) ).

tff(c_4966,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4713,c_4744,c_4732,c_2018,c_618,c_4746,c_4746,c_4768]) ).

tff(c_4967,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_4697]) ).

tff(c_4969,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_4967]) ).

tff(c_4994,plain,
    sum('#skF_1','#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_4969,c_4969,c_418]) ).

tff(c_256,plain,
    sum(n15,n11) = n10,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_4984,plain,
    sum(n15,n11) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_4969,c_256]) ).

tff(c_468,plain,
    sum(n9,n1) = n10,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_5009,plain,
    sum(n9,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_4969,c_468]) ).

tff(c_770,plain,
    pred(n10) = n9,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_5017,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_4969,c_770]) ).

tff(c_802,plain,
    succ(n10) = n11,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_5016,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_4969,c_802]) ).

tff(c_5038,plain,
    sum(sum(pred('#skF_1'),n1),sum(n15,n11)) != sum(sum(pred('#skF_1'),n11),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_5016,c_5016,c_2268]) ).

tff(c_5236,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4994,c_4984,c_5009,c_1977,c_448,c_5017,c_5017,c_5038]) ).

tff(c_5237,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_4967]) ).

tff(c_5239,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_5237]) ).

tff(c_5268,plain,
    sum('#skF_1','#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_5239,c_5239,c_554]) ).

tff(c_596,plain,
    sum(n5,n1) = n6,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_5256,plain,
    sum(n5,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_5239,c_596]) ).

tff(c_264,plain,
    sum(n15,n7) = n6,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_5259,plain,
    sum(n15,n7) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_5239,c_264]) ).

tff(c_810,plain,
    succ(n6) = n7,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_5288,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_5239,c_810]) ).

tff(c_778,plain,
    pred(n6) = n5,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_5287,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_5239,c_778]) ).

tff(c_5308,plain,
    sum(sum(n5,n1),sum(n15,succ('#skF_1'))) != sum(sum(n5,succ('#skF_1')),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_5287,c_5287,c_2268]) ).

tff(c_5506,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_5268,c_5256,c_5259,c_1978,c_584,c_5288,c_5288,c_5308]) ).

tff(c_5507,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_5237]) ).

tff(c_5509,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_5507]) ).

tff(c_5554,plain,
    sum('#skF_1','#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_5509,c_5509,c_452]) ).

tff(c_258,plain,
    sum(n15,n10) = n9,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_5546,plain,
    sum(n15,n10) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_5509,c_258]) ).

tff(c_500,plain,
    sum(n8,n1) = n9,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_5526,plain,
    sum(n8,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_5509,c_500]) ).

tff(c_804,plain,
    succ(n9) = n10,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_5558,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_5509,c_804]) ).

tff(c_772,plain,
    pred(n9) = n8,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_5556,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_5509,c_772]) ).

tff(c_5582,plain,
    sum(sum(n8,n1),sum(n15,succ('#skF_1'))) != sum(sum(n8,succ('#skF_1')),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_5556,c_5556,c_2268]) ).

tff(c_5776,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_5554,c_5546,c_5526,c_2007,c_482,c_5558,c_5558,c_5582]) ).

tff(c_5777,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_5507]) ).

tff(c_5779,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_5777]) ).

tff(c_5810,plain,
    sum('#skF_1','#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_5779,c_5779,c_520]) ).

tff(c_564,plain,
    sum(n6,n1) = n7,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_5801,plain,
    sum(n6,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_5779,c_564]) ).

tff(c_262,plain,
    sum(n15,n8) = n7,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_5794,plain,
    sum(n15,n8) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_5779,c_262]) ).

tff(c_808,plain,
    succ(n7) = n8,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_5829,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_5779,c_808]) ).

tff(c_776,plain,
    pred(n7) = n6,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_5827,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_5779,c_776]) ).

tff(c_5848,plain,
    sum(sum(n6,n1),sum(n15,succ('#skF_1'))) != sum(sum(n6,succ('#skF_1')),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_5827,c_5827,c_2268]) ).

tff(c_6046,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_5810,c_5801,c_5794,c_2014,c_550,c_5829,c_5829,c_5848]) ).

tff(c_6047,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_5777]) ).

tff(c_1987,plain,
    sum(n8,n8) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_1975,c_486]) ).

tff(c_6049,plain,
    sum('#skF_1','#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_6047,c_6047,c_1987]) ).

tff(c_532,plain,
    sum(n7,n1) = n8,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_6080,plain,
    sum(n7,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_6047,c_532]) ).

tff(c_260,plain,
    sum(n15,n9) = n8,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_6091,plain,
    sum(n15,n9) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_6047,c_260]) ).

tff(c_2017,plain,
    sum('#skF_2','#skF_2') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_1975,c_1975,c_1975,c_758]) ).

tff(c_2019,plain,
    sum(n7,n9) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_1975,c_516]) ).

tff(c_806,plain,
    succ(n8) = n9,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_6096,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_6047,c_806]) ).

tff(c_774,plain,
    pred(n8) = n7,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_6097,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_6047,c_774]) ).

tff(c_6125,plain,
    sum(sum(n7,n1),sum(n15,succ('#skF_1'))) != sum(sum(n7,succ('#skF_1')),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_6097,c_6097,c_2268]) ).

tff(c_6315,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_6049,c_6080,c_6091,c_2017,c_2019,c_6096,c_6096,c_6125]) ).

tff(c_6316,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' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_244]) ).

tff(c_6318,plain,
    n15 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_6316]) ).

tff(c_6387,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n14 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( 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(demodulation,[status(thm),theory(equality)],[c_6318,c_246]) ).

tff(c_6388,plain,
    n0 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_6387]) ).

tff(c_6430,plain,
    sum('#skF_1',n14) = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_6388,c_730]) ).

tff(c_6361,plain,
    sum('#skF_2','#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_6318,c_6318,c_248]) ).

tff(c_6350,plain,
    sum('#skF_2',n0) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_6318,c_6318,c_278]) ).

tff(c_6777,plain,
    sum('#skF_2','#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_6388,c_6350]) ).

tff(c_6424,plain,
    sum(n14,'#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_6388,c_310]) ).

tff(c_6362,plain,
    sum(n14,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_6318,c_308]) ).

tff(c_6356,plain,
    sum('#skF_2',n1) = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_6318,c_276]) ).

tff(c_6587,plain,
    sum('#skF_2',n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_6388,c_6356]) ).

tff(c_6432,plain,
    succ('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_6388,c_822]) ).

tff(c_6366,plain,
    pred('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_6318,c_760]) ).

tff(c_6367,plain,
    succ('#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_6318,c_792]) ).

tff(c_6466,plain,
    succ('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_6388,c_6367]) ).

tff(c_6365,plain,
    pred(n0) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_6318,c_790]) ).

tff(c_6460,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_6388,c_6365]) ).

tff(c_6461,plain,
    sum(sum('#skF_2',succ('#skF_2')),sum(pred('#skF_2'),succ('#skF_1'))) != sum(sum('#skF_2',succ('#skF_1')),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_6460,c_6460,c_242]) ).

tff(c_6832,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_6430,c_6361,c_6777,c_6424,c_6362,c_6587,c_6432,c_6432,c_6366,c_6366,c_6466,c_6466,c_6461]) ).

tff(c_6833,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' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_6387]) ).

tff(c_7033,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_6833]) ).

tff(c_7081,plain,
    succ('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_7033,c_6367]) ).

tff(c_7082,plain,
    pred('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_7033,c_6366]) ).

tff(c_6835,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n14,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n14,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_6366,c_6366,c_242]) ).

tff(c_7032,plain,
    sum(sum(pred('#skF_1'),n0),sum(n14,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_310,c_6367,c_6367,c_6835]) ).

tff(c_7111,plain,
    sum(sum(n14,n0),sum(n14,succ('#skF_1'))) != sum(sum(n14,succ('#skF_1')),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_7082,c_7082,c_7032]) ).

tff(c_7112,plain,
    sum(sum(n14,succ('#skF_1')),n14) != sum(n14,sum(n14,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_310,c_7111]) ).

tff(c_7306,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_282,c_310,c_7081,c_282,c_310,c_7081,c_7112]) ).

tff(c_7307,plain,
    ( ( n14 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_6833]) ).

tff(c_7309,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_7307]) ).

tff(c_7358,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_7309,c_788]) ).

tff(c_7359,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_7309,c_820]) ).

tff(c_7382,plain,
    sum(sum(pred('#skF_1'),n0),sum(n14,n2)) != sum(sum(pred('#skF_1'),n2),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_7359,c_7359,c_7032]) ).

tff(c_7383,plain,
    sum(sum(pred('#skF_1'),n2),n14) != sum(sum(pred('#skF_1'),n0),n0),
    inference(demodulation,[status(thm),theory(equality)],[c_306,c_7382]) ).

tff(c_7577,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_758,c_758,c_7358,c_666,c_754,c_7358,c_7383]) ).

tff(c_7578,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' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_7307]) ).

tff(c_7580,plain,
    n14 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_7578]) ).

tff(c_280,plain,
    sum(n14,n15) = n13,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_6346,plain,
    sum(n14,'#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_6318,c_280]) ).

tff(c_7586,plain,
    sum('#skF_1','#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_7580,c_6346]) ).

tff(c_7617,plain,
    sum(n12,'#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_7580,c_346]) ).

tff(c_6364,plain,
    succ(n14) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_6318,c_794]) ).

tff(c_7587,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_7580,c_6364]) ).

tff(c_6349,plain,
    sum(n13,'#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_6318,c_312]) ).

tff(c_7631,plain,
    pred('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_7580,c_762]) ).

tff(c_342,plain,
    sum(n13,n0) = n13,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_7581,plain,
    sum(sum(pred('#skF_1'),n0),sum('#skF_1',succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1'),
    inference(demodulation,[status(thm),theory(equality)],[c_7580,c_7580,c_7032]) ).

tff(c_7847,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_316,c_7586,c_7617,c_7587,c_6349,c_7587,c_7631,c_342,c_7631,c_7581]) ).

tff(c_7848,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_7578]) ).

tff(c_7850,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_7848]) ).

tff(c_7871,plain,
    sum(n4,n14) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_7850,c_602]) ).

tff(c_7892,plain,
    sum(n1,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_7850,c_724]) ).

tff(c_726,plain,
    sum(n1,n0) = n1,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_7899,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_7850,c_786]) ).

tff(c_304,plain,
    sum(n14,n3) = n1,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_7897,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_7850,c_818]) ).

tff(c_7923,plain,
    sum(sum(pred('#skF_1'),n0),sum(n14,n3)) != sum(sum(pred('#skF_1'),n3),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_7897,c_7897,c_7032]) ).

tff(c_7924,plain,
    sum(sum(pred('#skF_1'),n3),n14) != sum(sum(pred('#skF_1'),n0),n1),
    inference(demodulation,[status(thm),theory(equality)],[c_304,c_7923]) ).

tff(c_8118,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_7871,c_7892,c_726,c_7899,c_720,c_7899,c_7924]) ).

tff(c_8119,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_7848]) ).

tff(c_8121,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_8119]) ).

tff(c_8170,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_8121,c_764]) ).

tff(c_8169,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_8121,c_796]) ).

tff(c_8190,plain,
    sum(sum(pred('#skF_1'),n0),sum(n14,n14)) != sum(sum(pred('#skF_1'),n14),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_8169,c_8169,c_7032]) ).

tff(c_8191,plain,
    sum(sum(pred('#skF_1'),n14),n14) != sum(sum(pred('#skF_1'),n0),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_282,c_8190]) ).

tff(c_8389,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_350,c_374,c_8170,c_410,c_346,c_8170,c_8191]) ).

tff(c_8390,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_8119]) ).

tff(c_8392,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_8390]) ).

tff(c_8442,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_8392,c_816]) ).

tff(c_538,plain,
    sum(n6,n14) = n4,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_8441,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_8392,c_784]) ).

tff(c_8465,plain,
    sum(sum(n2,n0),sum(n14,succ('#skF_1'))) != sum(sum(n2,succ('#skF_1')),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_8441,c_8441,c_7032]) ).

tff(c_8466,plain,
    sum(sum(n2,succ('#skF_1')),n14) != sum(n2,sum(n14,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_694,c_8465]) ).

tff(c_8660,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_690,c_302,c_8442,c_538,c_686,c_8442,c_8466]) ).

tff(c_8661,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_8390]) ).

tff(c_8663,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_8661]) ).

tff(c_8712,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_8663,c_766]) ).

tff(c_284,plain,
    sum(n14,n13) = n11,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_8711,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_8663,c_798]) ).

tff(c_8736,plain,
    sum(sum(pred('#skF_1'),n0),sum(n14,n13)) != sum(sum(pred('#skF_1'),n13),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_8711,c_8711,c_7032]) ).

tff(c_8737,plain,
    sum(sum(pred('#skF_1'),n13),n14) != sum(sum(pred('#skF_1'),n0),n11),
    inference(demodulation,[status(thm),theory(equality)],[c_284,c_8736]) ).

tff(c_8931,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_384,c_406,c_8712,c_474,c_380,c_8712,c_8737]) ).

tff(c_8932,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_8661]) ).

tff(c_8934,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_8932]) ).

tff(c_8983,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_8934,c_814]) ).

tff(c_662,plain,
    sum(n3,n0) = n3,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_8982,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_8934,c_782]) ).

tff(c_9007,plain,
    sum(sum(n3,n0),sum(n14,succ('#skF_1'))) != sum(sum(n3,succ('#skF_1')),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_8982,c_8982,c_7032]) ).

tff(c_9008,plain,
    sum(sum(n3,succ('#skF_1')),n14) != sum(n3,sum(n14,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_662,c_9007]) ).

tff(c_9202,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_656,c_300,c_8983,c_474,c_652,c_8983,c_9008]) ).

tff(c_9203,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_8932]) ).

tff(c_9205,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_9203]) ).

tff(c_9254,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_9205,c_768]) ).

tff(c_286,plain,
    sum(n14,n12) = n10,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_9253,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_9205,c_800]) ).

tff(c_9282,plain,
    sum(sum(pred('#skF_1'),n0),sum(n14,n12)) != sum(sum(pred('#skF_1'),n12),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_9253,c_9253,c_7032]) ).

tff(c_9283,plain,
    sum(sum(pred('#skF_1'),n12),n14) != sum(sum(pred('#skF_1'),n0),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_286,c_9282]) ).

tff(c_9473,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_418,c_438,c_9254,c_538,c_414,c_9254,c_9283]) ).

tff(c_9474,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_9203]) ).

tff(c_9476,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_9474]) ).

tff(c_9524,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_9476,c_780]) ).

tff(c_298,plain,
    sum(n14,n6) = n4,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_9523,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_9476,c_812]) ).

tff(c_9545,plain,
    sum(sum(pred('#skF_1'),n0),sum(n14,n6)) != sum(sum(pred('#skF_1'),n6),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_9523,c_9523,c_7032]) ).

tff(c_9546,plain,
    sum(sum(pred('#skF_1'),n6),n14) != sum(sum(pred('#skF_1'),n0),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_298,c_9545]) ).

tff(c_9744,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_622,c_630,c_9524,c_410,c_618,c_9524,c_9546]) ).

tff(c_9745,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_9474]) ).

tff(c_9747,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_9745]) ).

tff(c_9795,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_9747,c_770]) ).

tff(c_288,plain,
    sum(n14,n11) = n9,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_9794,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_9747,c_802]) ).

tff(c_9816,plain,
    sum(sum(pred('#skF_1'),n0),sum(n14,n11)) != sum(sum(pred('#skF_1'),n11),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_9794,c_9794,c_7032]) ).

tff(c_9817,plain,
    sum(sum(pred('#skF_1'),n11),n14) != sum(sum(pred('#skF_1'),n0),n9),
    inference(demodulation,[status(thm),theory(equality)],[c_288,c_9816]) ).

tff(c_10015,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_452,c_470,c_9795,c_602,c_448,c_9795,c_9817]) ).

tff(c_10016,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_9745]) ).

tff(c_10018,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_10016]) ).

tff(c_10067,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_10018,c_810]) ).

tff(c_598,plain,
    sum(n5,n0) = n5,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_10066,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_10018,c_778]) ).

tff(c_10087,plain,
    sum(sum(n5,n0),sum(n14,succ('#skF_1'))) != sum(sum(n5,succ('#skF_1')),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_10066,c_10066,c_7032]) ).

tff(c_10088,plain,
    sum(sum(n5,succ('#skF_1')),n14) != sum(n5,sum(n14,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_598,c_10087]) ).

tff(c_10286,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_588,c_296,c_10067,c_346,c_584,c_10067,c_10088]) ).

tff(c_10287,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_10016]) ).

tff(c_10289,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_10287]) ).

tff(c_10336,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_10289,c_772]) ).

tff(c_290,plain,
    sum(n14,n10) = n8,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_10338,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_10289,c_804]) ).

tff(c_10362,plain,
    sum(sum(pred('#skF_1'),n0),sum(n14,n10)) != sum(sum(pred('#skF_1'),n10),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_10338,c_10338,c_7032]) ).

tff(c_10363,plain,
    sum(sum(pred('#skF_1'),n10),n14) != sum(sum(pred('#skF_1'),n0),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_290,c_10362]) ).

tff(c_10557,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_486,c_502,c_10336,c_666,c_482,c_10336,c_10363]) ).

tff(c_10558,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_10287]) ).

tff(c_10560,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_10558]) ).

tff(c_10610,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_10560,c_808]) ).

tff(c_10608,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_10560,c_776]) ).

tff(c_10629,plain,
    sum(sum(n6,n0),sum(n14,succ('#skF_1'))) != sum(sum(n6,succ('#skF_1')),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_10608,c_10608,c_7032]) ).

tff(c_10630,plain,
    sum(sum(n6,succ('#skF_1')),n14) != sum(n6,sum(n14,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_566,c_10629]) ).

tff(c_10828,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_554,c_294,c_10610,c_282,c_550,c_10610,c_10630]) ).

tff(c_10829,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_10558]) ).

tff(c_10878,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_10829,c_806]) ).

tff(c_534,plain,
    sum(n7,n0) = n7,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_10879,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_10829,c_774]) ).

tff(c_10903,plain,
    sum(sum(n7,n0),sum(n14,succ('#skF_1'))) != sum(sum(n7,succ('#skF_1')),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_10879,c_10879,c_7032]) ).

tff(c_10904,plain,
    sum(sum(n7,succ('#skF_1')),n14) != sum(n7,sum(n14,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_534,c_10903]) ).

tff(c_11098,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_292,c_10878,c_730,c_516,c_10878,c_10904]) ).

tff(c_11099,plain,
    ( ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_6316]) ).

tff(c_11101,plain,
    n1 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_11099]) ).

tff(c_11140,plain,
    sum('#skF_2','#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_11101,c_11101,c_724]) ).

tff(c_11127,plain,
    sum(n15,n2) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_11101,c_274]) ).

tff(c_11102,plain,
    n0 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_246]) ).

tff(c_11208,plain,
    sum('#skF_1',n2) = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_11102,c_754]) ).

tff(c_11139,plain,
    sum(n15,'#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_11101,c_276]) ).

tff(c_11370,plain,
    sum(n15,'#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_11102,c_11139]) ).

tff(c_11126,plain,
    sum(n0,'#skF_2') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_11101,c_11101,c_756]) ).

tff(c_11285,plain,
    sum('#skF_1','#skF_2') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_11102,c_11126]) ).

tff(c_11214,plain,
    pred('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_11102,c_790]) ).

tff(c_11149,plain,
    succ(n0) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_11101,c_822]) ).

tff(c_11248,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_11102,c_11149]) ).

tff(c_11151,plain,
    succ('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_11101,c_820]) ).

tff(c_11150,plain,
    pred('#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_11101,c_788]) ).

tff(c_11238,plain,
    pred('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_11102,c_11150]) ).

tff(c_11239,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum('#skF_1',succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),sum('#skF_1',succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_11238,c_11238,c_242]) ).

tff(c_11614,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_11140,c_11127,c_11208,c_11370,c_11208,c_11285,c_11214,c_11214,c_11248,c_11248,c_11151,c_11151,c_11239]) ).

tff(c_11615,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' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' )
    | ( n15 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_246]) ).

tff(c_11883,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' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' )
    | ( n15 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_11101,c_11615]) ).

tff(c_11884,plain,
    n15 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_11883]) ).

tff(c_11933,plain,
    pred('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_11884,c_760]) ).

tff(c_11934,plain,
    succ('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_11884,c_792]) ).

tff(c_11665,plain,
    succ('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_11101,c_820]) ).

tff(c_11664,plain,
    pred('#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_11101,c_788]) ).

tff(c_11689,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n0,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n0,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_11664,c_11664,c_242]) ).

tff(c_11882,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_754,c_11665,c_11665,c_11689]) ).

tff(c_11961,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n0)) != sum(sum(pred('#skF_1'),n0),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_11934,c_11934,c_11882]) ).

tff(c_11962,plain,
    sum(sum(pred('#skF_1'),n2),n0) != sum(sum(pred('#skF_1'),n0),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_758,c_11961]) ).

tff(c_12152,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_306,c_310,c_11933,c_758,c_306,c_11933,c_11962]) ).

tff(c_12153,plain,
    ( ( n14 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_11883]) ).

tff(c_12155,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_12153]) ).

tff(c_12202,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_12155,c_11665]) ).

tff(c_12203,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_12155,c_11664]) ).

tff(c_12237,plain,
    sum(sum(n0,n2),sum(n0,succ('#skF_1'))) != sum(sum(n0,succ('#skF_1')),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_12203,c_12203,c_11882]) ).

tff(c_12238,plain,
    sum(sum(n0,succ('#skF_1')),n2) != sum(n2,sum(n0,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_754,c_12237]) ).

tff(c_12428,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_690,c_754,c_12202,c_690,c_754,c_12202,c_12238]) ).

tff(c_12429,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' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_12153]) ).

tff(c_12431,plain,
    n14 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_12429]) ).

tff(c_12474,plain,
    sum(n15,n15) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_12431,c_248]) ).

tff(c_370,plain,
    sum(n12,n2) = n14,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_12440,plain,
    sum(n12,n2) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_12431,c_370]) ).

tff(c_728,plain,
    sum(n0,n15) = n15,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_12479,plain,
    succ('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_12431,c_794]) ).

tff(c_338,plain,
    sum(n13,n2) = n15,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_12480,plain,
    pred('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_12431,c_762]) ).

tff(c_12508,plain,
    sum(sum(n13,n2),sum(n0,succ('#skF_1'))) != sum(sum(n13,succ('#skF_1')),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_12480,c_12480,c_11882]) ).

tff(c_12509,plain,
    sum(sum(n13,succ('#skF_1')),n2) != sum(n15,sum(n0,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_338,c_12508]) ).

tff(c_12699,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_12474,c_12440,c_728,c_12479,c_312,c_12479,c_12509]) ).

tff(c_12700,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_12429]) ).

tff(c_12702,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_12700]) ).

tff(c_722,plain,
    sum(n1,n2) = n3,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_11620,plain,
    sum('#skF_2',n2) = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_11101,c_722]) ).

tff(c_12707,plain,
    sum('#skF_2','#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_12702,c_11620]) ).

tff(c_12736,plain,
    sum(n4,'#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_12702,c_626]) ).

tff(c_11662,plain,
    pred(n2) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_11101,c_786]) ).

tff(c_12710,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_12702,c_11662]) ).

tff(c_11619,plain,
    sum('#skF_2',n3) = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_11101,c_720]) ).

tff(c_12752,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_12702,c_818]) ).

tff(c_752,plain,
    sum(n0,n3) = n3,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_12703,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n0,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1'),
    inference(demodulation,[status(thm),theory(equality)],[c_12702,c_12702,c_11882]) ).

tff(c_12969,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_656,c_12707,c_12736,c_12710,c_11619,c_12710,c_12752,c_752,c_12752,c_12703]) ).

tff(c_12970,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_12700]) ).

tff(c_12972,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_12970]) ).

tff(c_13021,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_12972,c_764]) ).

tff(c_13020,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_12972,c_796]) ).

tff(c_13041,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n14)) != sum(sum(pred('#skF_1'),n14),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_13020,c_13020,c_11882]) ).

tff(c_13042,plain,
    sum(sum(pred('#skF_1'),n2),n14) != sum(sum(pred('#skF_1'),n14),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_730,c_13041]) ).

tff(c_13240,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_434,c_346,c_13021,c_282,c_370,c_13021,c_13042]) ).

tff(c_13241,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_12970]) ).

tff(c_13243,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_13241]) ).

tff(c_13293,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_13243,c_816]) ).

tff(c_13292,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_13243,c_784]) ).

tff(c_13316,plain,
    sum(sum(n2,n2),sum(n0,succ('#skF_1'))) != sum(sum(n2,succ('#skF_1')),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_13292,c_13292,c_11882]) ).

tff(c_13317,plain,
    sum(sum(n2,succ('#skF_1')),n2) != sum(n4,sum(n0,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_690,c_13316]) ).

tff(c_13511,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_622,c_750,c_13293,c_562,c_686,c_13293,c_13317]) ).

tff(c_13512,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_13241]) ).

tff(c_13514,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_13512]) ).

tff(c_13563,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_13514,c_766]) ).

tff(c_402,plain,
    sum(n11,n2) = n13,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_732,plain,
    sum(n0,n13) = n13,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_13562,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_13514,c_798]) ).

tff(c_13583,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n13)) != sum(sum(pred('#skF_1'),n13),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_13562,c_13562,c_11882]) ).

tff(c_13584,plain,
    sum(sum(pred('#skF_1'),n2),n13) != sum(sum(pred('#skF_1'),n13),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_732,c_13583]) ).

tff(c_13782,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_498,c_380,c_13563,c_316,c_402,c_13563,c_13584]) ).

tff(c_13783,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_13512]) ).

tff(c_13785,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_13783]) ).

tff(c_13833,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_13785,c_782]) ).

tff(c_748,plain,
    sum(n0,n5) = n5,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_13834,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_13785,c_814]) ).

tff(c_13862,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n5)) != sum(sum(pred('#skF_1'),n5),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_13834,c_13834,c_11882]) ).

tff(c_13863,plain,
    sum(sum(pred('#skF_1'),n5),n2) != sum(sum(pred('#skF_1'),n2),n5),
    inference(demodulation,[status(thm),theory(equality)],[c_748,c_13862]) ).

tff(c_14053,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_588,c_658,c_13833,c_498,c_652,c_13833,c_13863]) ).

tff(c_14054,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_13783]) ).

tff(c_14056,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_14054]) ).

tff(c_14104,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_14056,c_800]) ).

tff(c_14105,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_14056,c_768]) ).

tff(c_14133,plain,
    sum(sum(n10,n2),sum(n0,succ('#skF_1'))) != sum(sum(n10,succ('#skF_1')),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_14105,c_14105,c_11882]) ).

tff(c_14134,plain,
    sum(sum(n10,succ('#skF_1')),n2) != sum(n12,sum(n0,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_434,c_14133]) ).

tff(c_14324,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_350,c_734,c_14104,c_562,c_414,c_14104,c_14134]) ).

tff(c_14325,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_14054]) ).

tff(c_14327,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_14325]) ).

tff(c_14375,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_14327,c_780]) ).

tff(c_746,plain,
    sum(n0,n6) = n6,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_14374,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_14327,c_812]) ).

tff(c_14396,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n6)) != sum(sum(pred('#skF_1'),n6),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_14374,c_14374,c_11882]) ).

tff(c_14397,plain,
    sum(sum(pred('#skF_1'),n6),n2) != sum(sum(pred('#skF_1'),n2),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_746,c_14396]) ).

tff(c_14595,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_554,c_626,c_14375,c_434,c_618,c_14375,c_14397]) ).

tff(c_14596,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_14325]) ).

tff(c_14598,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_14596]) ).

tff(c_14646,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_14598,c_770]) ).

tff(c_466,plain,
    sum(n9,n2) = n11,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_736,plain,
    sum(n0,n11) = n11,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_14645,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_14598,c_802]) ).

tff(c_14667,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n11)) != sum(sum(pred('#skF_1'),n11),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_14645,c_14645,c_11882]) ).

tff(c_14668,plain,
    sum(sum(pred('#skF_1'),n2),n11) != sum(sum(pred('#skF_1'),n11),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_736,c_14667]) ).

tff(c_14866,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_626,c_448,c_14646,c_384,c_466,c_14646,c_14668]) ).

tff(c_14867,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_14596]) ).

tff(c_14869,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_14867]) ).

tff(c_14917,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_14869,c_778]) ).

tff(c_744,plain,
    sum(n0,n7) = n7,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_14918,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_14869,c_810]) ).

tff(c_14946,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n7)) != sum(sum(pred('#skF_1'),n7),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_14918,c_14918,c_11882]) ).

tff(c_14947,plain,
    sum(sum(pred('#skF_1'),n7),n2) != sum(sum(pred('#skF_1'),n2),n7),
    inference(demodulation,[status(thm),theory(equality)],[c_744,c_14946]) ).

tff(c_15137,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_594,c_14917,c_370,c_584,c_14917,c_14947]) ).

tff(c_15138,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_14867]) ).

tff(c_15140,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_15138]) ).

tff(c_15189,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_15140,c_804]) ).

tff(c_15187,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_15140,c_772]) ).

tff(c_15213,plain,
    sum(sum(n8,n2),sum(n0,succ('#skF_1'))) != sum(sum(n8,succ('#skF_1')),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_15187,c_15187,c_11882]) ).

tff(c_15214,plain,
    sum(sum(n8,succ('#skF_1')),n2) != sum(n10,sum(n0,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_498,c_15213]) ).

tff(c_15408,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_418,c_738,c_15189,c_690,c_482,c_15189,c_15214]) ).

tff(c_15409,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_15138]) ).

tff(c_15411,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_15409]) ).

tff(c_15459,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_15411,c_776]) ).

tff(c_742,plain,
    sum(n0,n8) = n8,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_15461,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_15411,c_808]) ).

tff(c_15480,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n8)) != sum(sum(pred('#skF_1'),n8),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_15461,c_15461,c_11882]) ).

tff(c_15481,plain,
    sum(sum(pred('#skF_1'),n8),n2) != sum(sum(pred('#skF_1'),n2),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_742,c_15480]) ).

tff(c_15679,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_486,c_562,c_15459,c_306,c_550,c_15459,c_15481]) ).

tff(c_15680,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_15409]) ).

tff(c_15729,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_15680,c_806]) ).

tff(c_530,plain,
    sum(n7,n2) = n9,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_15730,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_15680,c_774]) ).

tff(c_15758,plain,
    sum(sum(n7,n2),sum(n0,succ('#skF_1'))) != sum(sum(n7,succ('#skF_1')),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_15730,c_15730,c_11882]) ).

tff(c_15759,plain,
    sum(sum(n7,succ('#skF_1')),n2) != sum(n9,sum(n0,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_15758]) ).

tff(c_15949,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_452,c_740,c_15729,c_754,c_516,c_15729,c_15759]) ).

tff(c_15950,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' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_11099]) ).

tff(c_19734,plain,
    n14 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_15950]) ).

tff(c_19755,plain,
    sum(n7,n7) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_19734,c_520]) ).

tff(c_322,plain,
    sum(n13,n10) = n7,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_328,plain,
    sum(n13,n7) = n4,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_600,plain,
    sum(n4,n15) = n3,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_334,plain,
    sum(n13,n4) = n1,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_336,plain,
    sum(n13,n3) = n0,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_19774,plain,
    sum(n15,n15) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_19734,c_248]) ).

tff(c_16225,plain,
    n14 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_15950]) ).

tff(c_16246,plain,
    sum('#skF_2','#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_16225,c_16225,c_282]) ).

tff(c_16260,plain,
    sum(n13,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_16225,c_340]) ).

tff(c_16267,plain,
    sum(n15,n15) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_16225,c_248]) ).

tff(c_15952,plain,
    n0 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_246]) ).

tff(c_15961,plain,
    sum('#skF_1',n12) = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_15952,c_734]) ).

tff(c_16274,plain,
    pred('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_16225,c_762]) ).

tff(c_16273,plain,
    succ('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_16225,c_794]) ).

tff(c_15991,plain,
    sum(n15,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_15952,c_276]) ).

tff(c_16002,plain,
    pred('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_15952,c_790]) ).

tff(c_16000,plain,
    succ('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_15952,c_822]) ).

tff(c_16027,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),n1)) != sum(sum(pred('#skF_1'),n1),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_16000,c_16000,c_242]) ).

tff(c_16224,plain,
    sum(sum(n15,succ('#skF_2')),sum(pred('#skF_2'),n1)) != sum('#skF_1',sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_15991,c_16002,c_16002,c_16027]) ).

tff(c_16294,plain,
    sum(sum(n15,n15),sum(pred('#skF_2'),n1)) != sum('#skF_1',sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_16273,c_16273,c_16224]) ).

tff(c_16492,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_16246,c_16260,c_16267,c_15961,c_312,c_16274,c_16274,c_16294]) ).

tff(c_16493,plain,
    ( ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_15950]) ).

tff(c_16495,plain,
    n2 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_16493]) ).

tff(c_16532,plain,
    sum('#skF_2','#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_16495,c_16495,c_690]) ).

tff(c_16509,plain,
    sum(n15,n3) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_16495,c_272]) ).

tff(c_16538,plain,
    sum(n1,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_16495,c_724]) ).

tff(c_15982,plain,
    sum('#skF_1',n4) = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_15952,c_750]) ).

tff(c_16542,plain,
    succ('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_16495,c_818]) ).

tff(c_16544,plain,
    pred('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_16495,c_786]) ).

tff(c_16568,plain,
    sum(sum(n15,succ('#skF_2')),sum(n1,n1)) != sum('#skF_1',sum(n1,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_16544,c_16544,c_16224]) ).

tff(c_16762,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_16532,c_16509,c_16538,c_15982,c_720,c_16542,c_16542,c_16568]) ).

tff(c_16763,plain,
    ( ( n3 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_16493]) ).

tff(c_16765,plain,
    n13 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_16763]) ).

tff(c_16803,plain,
    sum('#skF_2','#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_16765,c_16765,c_316]) ).

tff(c_16771,plain,
    sum(n15,n14) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_16765,c_250]) ).

tff(c_16774,plain,
    sum(n12,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_16765,c_372]) ).

tff(c_15963,plain,
    sum('#skF_1',n10) = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_15952,c_738]) ).

tff(c_16814,plain,
    pred('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_16765,c_764]) ).

tff(c_16813,plain,
    succ('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_16765,c_796]) ).

tff(c_16834,plain,
    sum(sum(n15,n14),sum(pred('#skF_2'),n1)) != sum('#skF_1',sum(pred('#skF_2'),n14)),
    inference(demodulation,[status(thm),theory(equality)],[c_16813,c_16813,c_16224]) ).

tff(c_17032,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_16803,c_16771,c_16774,c_15963,c_346,c_16814,c_16814,c_16834]) ).

tff(c_17033,plain,
    ( ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n3 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_16763]) ).

tff(c_17035,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_17033]) ).

tff(c_17050,plain,
    sum('#skF_2','#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_17035,c_17035,c_656]) ).

tff(c_17042,plain,
    sum(n2,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_17035,c_692]) ).

tff(c_17075,plain,
    sum(n15,n4) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_17035,c_270]) ).

tff(c_15957,plain,
    sum('#skF_1',n6) = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_15952,c_746]) ).

tff(c_17085,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_17035,c_816]) ).

tff(c_17084,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_17035,c_784]) ).

tff(c_17108,plain,
    sum(sum(n15,succ('#skF_2')),sum(n2,n1)) != sum('#skF_1',sum(n2,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_17084,c_17084,c_16224]) ).

tff(c_17302,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_17050,c_17042,c_17075,c_15957,c_686,c_17085,c_17085,c_17108]) ).

tff(c_17303,plain,
    ( ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_17033]) ).

tff(c_17305,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_17303]) ).

tff(c_17344,plain,
    sum('#skF_2','#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_17305,c_17305,c_350]) ).

tff(c_17335,plain,
    sum(n15,n13) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_17305,c_252]) ).

tff(c_17327,plain,
    sum(n11,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_17305,c_404]) ).

tff(c_15984,plain,
    sum('#skF_1',n8) = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_15952,c_742]) ).

tff(c_17354,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_17305,c_766]) ).

tff(c_17353,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_17305,c_798]) ).

tff(c_17374,plain,
    sum(sum(n15,n13),sum(pred('#skF_2'),n1)) != sum('#skF_1',sum(pred('#skF_2'),n13)),
    inference(demodulation,[status(thm),theory(equality)],[c_17353,c_17353,c_16224]) ).

tff(c_17572,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_17344,c_17335,c_17327,c_15984,c_380,c_17354,c_17354,c_17374]) ).

tff(c_17573,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_17303]) ).

tff(c_17575,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_17573]) ).

tff(c_17585,plain,
    sum('#skF_2','#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_17575,c_17575,c_622]) ).

tff(c_17594,plain,
    sum(n15,n5) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_17575,c_268]) ).

tff(c_17596,plain,
    sum(n3,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_17575,c_660]) ).

tff(c_17623,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_17575,c_782]) ).

tff(c_17624,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_17575,c_814]) ).

tff(c_17652,plain,
    sum(sum(n15,n5),sum(pred('#skF_2'),n1)) != sum('#skF_1',sum(pred('#skF_2'),n5)),
    inference(demodulation,[status(thm),theory(equality)],[c_17624,c_17624,c_16224]) ).

tff(c_17842,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_17585,c_17594,c_17596,c_15984,c_652,c_17623,c_17623,c_17652]) ).

tff(c_17843,plain,
    ( ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_17573]) ).

tff(c_17845,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_17843]) ).

tff(c_17863,plain,
    sum('#skF_2','#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_17845,c_17845,c_384]) ).

tff(c_17851,plain,
    sum(n15,n12) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_17845,c_254]) ).

tff(c_17879,plain,
    sum(n10,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_17845,c_436]) ).

tff(c_17893,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_17845,c_800]) ).

tff(c_17894,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_17845,c_768]) ).

tff(c_17922,plain,
    sum(sum(n15,succ('#skF_2')),sum(n10,n1)) != sum('#skF_1',sum(n10,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_17894,c_17894,c_16224]) ).

tff(c_18112,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_17863,c_17851,c_17879,c_15957,c_414,c_17893,c_17893,c_17922]) ).

tff(c_18113,plain,
    ( ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_17843]) ).

tff(c_18115,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_18113]) ).

tff(c_18129,plain,
    sum('#skF_2','#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_18115,c_18115,c_588]) ).

tff(c_18160,plain,
    sum(n15,n6) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_18115,c_266]) ).

tff(c_18148,plain,
    sum(n4,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_18115,c_628]) ).

tff(c_18162,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_18115,c_812]) ).

tff(c_18163,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_18115,c_780]) ).

tff(c_18184,plain,
    sum(sum(n15,succ('#skF_2')),sum(n4,n1)) != sum('#skF_1',sum(n4,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_18163,c_18163,c_16224]) ).

tff(c_18382,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_18129,c_18160,c_18148,c_15963,c_618,c_18162,c_18162,c_18184]) ).

tff(c_18383,plain,
    ( ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_18113]) ).

tff(c_18385,plain,
    n10 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_18383]) ).

tff(c_18410,plain,
    sum('#skF_2','#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_18385,c_18385,c_418]) ).

tff(c_18400,plain,
    sum(n15,n11) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_18385,c_256]) ).

tff(c_18425,plain,
    sum(n9,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_18385,c_468]) ).

tff(c_18433,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_18385,c_770]) ).

tff(c_18432,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_18385,c_802]) ).

tff(c_18454,plain,
    sum(sum(n15,n11),sum(pred('#skF_2'),n1)) != sum('#skF_1',sum(pred('#skF_2'),n11)),
    inference(demodulation,[status(thm),theory(equality)],[c_18432,c_18432,c_16224]) ).

tff(c_18652,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_18410,c_18400,c_18425,c_15982,c_448,c_18433,c_18433,c_18454]) ).

tff(c_18653,plain,
    ( ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_18383]) ).

tff(c_18655,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_18653]) ).

tff(c_18684,plain,
    sum('#skF_2','#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_18655,c_18655,c_554]) ).

tff(c_18672,plain,
    sum(n5,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_18655,c_596]) ).

tff(c_18675,plain,
    sum(n15,n7) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_18655,c_264]) ).

tff(c_18704,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_18655,c_810]) ).

tff(c_18703,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_18655,c_778]) ).

tff(c_18724,plain,
    sum(sum(n15,succ('#skF_2')),sum(n5,n1)) != sum('#skF_1',sum(n5,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_18703,c_18703,c_16224]) ).

tff(c_18922,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_18684,c_18672,c_18675,c_15961,c_584,c_18704,c_18704,c_18724]) ).

tff(c_18923,plain,
    ( ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_18653]) ).

tff(c_18925,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_18923]) ).

tff(c_18970,plain,
    sum('#skF_2','#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_18925,c_18925,c_452]) ).

tff(c_18962,plain,
    sum(n15,n10) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_18925,c_258]) ).

tff(c_18942,plain,
    sum(n8,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_18925,c_500]) ).

tff(c_15994,plain,
    sum('#skF_1',n2) = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_15952,c_754]) ).

tff(c_18974,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_18925,c_804]) ).

tff(c_18972,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_18925,c_772]) ).

tff(c_18998,plain,
    sum(sum(n15,succ('#skF_2')),sum(n8,n1)) != sum('#skF_1',sum(n8,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_18972,c_18972,c_16224]) ).

tff(c_19192,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_18970,c_18962,c_18942,c_15994,c_482,c_18974,c_18974,c_18998]) ).

tff(c_19193,plain,
    ( ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_18923]) ).

tff(c_19195,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_19193]) ).

tff(c_19226,plain,
    sum('#skF_2','#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_19195,c_19195,c_520]) ).

tff(c_19217,plain,
    sum(n6,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_19195,c_564]) ).

tff(c_19210,plain,
    sum(n15,n8) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_19195,c_262]) ).

tff(c_15998,plain,
    sum('#skF_1',n14) = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_15952,c_730]) ).

tff(c_19245,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_19195,c_808]) ).

tff(c_19243,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_19195,c_776]) ).

tff(c_19264,plain,
    sum(sum(n15,succ('#skF_2')),sum(n6,n1)) != sum('#skF_1',sum(n6,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_19243,c_19243,c_16224]) ).

tff(c_19462,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_19226,c_19217,c_19210,c_15998,c_550,c_19245,c_19245,c_19264]) ).

tff(c_19463,plain,
    n8 = '#skF_2',
    inference(splitRight,[status(thm)],[c_19193]) ).

tff(c_15965,plain,
    sum(n8,n8) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_15952,c_486]) ).

tff(c_19467,plain,
    sum('#skF_2','#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_19463,c_19463,c_15965]) ).

tff(c_19496,plain,
    sum(n7,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_19463,c_532]) ).

tff(c_19507,plain,
    sum(n15,n9) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_19463,c_260]) ).

tff(c_15995,plain,
    sum('#skF_1','#skF_1') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_15952,c_15952,c_15952,c_758]) ).

tff(c_15997,plain,
    sum(n7,n9) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_15952,c_516]) ).

tff(c_19512,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_19463,c_806]) ).

tff(c_19513,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_19463,c_774]) ).

tff(c_19541,plain,
    sum(sum(n15,succ('#skF_2')),sum(n7,n1)) != sum('#skF_1',sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_19513,c_19513,c_16224]) ).

tff(c_19731,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_19467,c_19496,c_19507,c_15995,c_15997,c_19512,c_19512,c_19541]) ).

tff(c_19732,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' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' )
    | ( n15 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_246]) ).

tff(c_20001,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' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n15 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_19734,c_19732]) ).

tff(c_20002,plain,
    n15 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_20001]) ).

tff(c_19757,plain,
    sum('#skF_2',n15) = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_19734,c_280]) ).

tff(c_20004,plain,
    sum('#skF_2','#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_20002,c_19757]) ).

tff(c_19783,plain,
    pred(n15) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_19734,c_760]) ).

tff(c_20009,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_20002,c_19783]) ).

tff(c_19758,plain,
    sum('#skF_2',n12) = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_19734,c_286]) ).

tff(c_19767,plain,
    sum('#skF_2',n0) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_19734,c_19734,c_310]) ).

tff(c_20053,plain,
    succ('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_20002,c_792]) ).

tff(c_19782,plain,
    pred('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_19734,c_762]) ).

tff(c_19781,plain,
    succ('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_19734,c_794]) ).

tff(c_19807,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n15)) != sum(sum(pred('#skF_1'),n15),sum(pred('#skF_2'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_19781,c_19781,c_242]) ).

tff(c_20000,plain,
    sum(sum(pred('#skF_1'),n15),sum(n13,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_19782,c_312,c_19782,c_19807]) ).

tff(c_20003,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n13,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_20002,c_20000]) ).

tff(c_20269,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_316,c_20004,c_20009,c_19758,c_19767,c_20009,c_20053,c_342,c_20053,c_20003]) ).

tff(c_20270,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_20001]) ).

tff(c_20272,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_20270]) ).

tff(c_20322,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_20272,c_820]) ).

tff(c_19754,plain,
    sum(n2,n12) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_19734,c_670]) ).

tff(c_20321,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_20272,c_788]) ).

tff(c_20345,plain,
    sum(sum(n0,n15),sum(n13,succ('#skF_1'))) != sum(sum(n0,succ('#skF_1')),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_20321,c_20321,c_20000]) ).

tff(c_20346,plain,
    sum(sum(n0,succ('#skF_1')),n12) != sum(n15,sum(n13,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_728,c_20345]) ).

tff(c_20540,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_19774,c_338,c_20322,c_19754,c_754,c_20322,c_20346]) ).

tff(c_20541,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' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_20270]) ).

tff(c_20543,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_20541]) ).

tff(c_20591,plain,
    succ('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_20543,c_19781]) ).

tff(c_20589,plain,
    pred('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_20543,c_19782]) ).

tff(c_20621,plain,
    sum(sum(n13,n15),sum(n13,succ('#skF_1'))) != sum(sum(n13,succ('#skF_1')),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_20589,c_20589,c_20000]) ).

tff(c_20622,plain,
    sum(sum(n13,succ('#skF_1')),n12) != sum(n12,sum(n13,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_312,c_20621]) ).

tff(c_20816,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_350,c_312,c_20591,c_350,c_312,c_20591,c_20622]) ).

tff(c_20817,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_20541]) ).

tff(c_20819,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_20817]) ).

tff(c_20866,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_20819,c_818]) ).

tff(c_696,plain,
    sum(n1,n15) = n0,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_20868,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_20819,c_786]) ).

tff(c_20892,plain,
    sum(sum(n1,n15),sum(n13,succ('#skF_1'))) != sum(sum(n1,succ('#skF_1')),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_20868,c_20868,c_20000]) ).

tff(c_20893,plain,
    sum(sum(n1,succ('#skF_1')),n12) != sum(n0,sum(n13,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_696,c_20892]) ).

tff(c_21087,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_758,c_336,c_20866,c_606,c_720,c_20866,c_20893]) ).

tff(c_21088,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_20817]) ).

tff(c_21090,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_21088]) ).

tff(c_314,plain,
    sum(n13,n14) = n11,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_19766,plain,
    sum(n13,'#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_19734,c_314]) ).

tff(c_21095,plain,
    sum('#skF_1','#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_21090,c_19766]) ).

tff(c_19780,plain,
    succ(n13) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_19734,c_796]) ).

tff(c_21099,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_21090,c_19780]) ).

tff(c_19764,plain,
    sum(n12,'#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_19734,c_346]) ).

tff(c_21141,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_21090,c_764]) ).

tff(c_344,plain,
    sum(n12,n15) = n11,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_21091,plain,
    sum(sum(pred('#skF_1'),n15),sum('#skF_1',succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_21090,c_20000]) ).

tff(c_21357,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_384,c_21095,c_21099,c_414,c_19764,c_21099,c_21141,c_344,c_21141,c_21091]) ).

tff(c_21358,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_21088]) ).

tff(c_21360,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_21358]) ).

tff(c_21410,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_21360,c_816]) ).

tff(c_664,plain,
    sum(n2,n15) = n1,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_21409,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_21360,c_784]) ).

tff(c_21433,plain,
    sum(sum(n2,n15),sum(n13,succ('#skF_1'))) != sum(sum(n2,succ('#skF_1')),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_21409,c_21409,c_20000]) ).

tff(c_21434,plain,
    sum(sum(n2,succ('#skF_1')),n12) != sum(n1,sum(n13,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_664,c_21433]) ).

tff(c_21628,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_724,c_334,c_21410,c_542,c_686,c_21410,c_21434]) ).

tff(c_21629,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_21358]) ).

tff(c_21631,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_21629]) ).

tff(c_21677,plain,
    sum(n8,'#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_21631,c_478]) ).

tff(c_21680,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_21631,c_798]) ).

tff(c_21681,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_21631,c_766]) ).

tff(c_376,plain,
    sum(n11,n15) = n10,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_21632,plain,
    sum(sum(pred('#skF_1'),n15),sum(n13,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1'),
    inference(demodulation,[status(thm),theory(equality)],[c_21631,c_20000]) ).

tff(c_21898,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_21677,c_418,c_316,c_21680,c_380,c_21680,c_21681,c_376,c_21681,c_21632]) ).

tff(c_21899,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_21629]) ).

tff(c_21901,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_21899]) ).

tff(c_21945,plain,
    sum(n8,n12) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_21901,c_478]) ).

tff(c_21938,plain,
    sum(n2,n2) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_21901,c_690]) ).

tff(c_332,plain,
    sum(n13,n5) = n2,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_21950,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_21901,c_814]) ).

tff(c_632,plain,
    sum(n3,n15) = n2,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_21949,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_21901,c_782]) ).

tff(c_21974,plain,
    sum(sum(n3,n15),sum(n13,succ('#skF_1'))) != sum(sum(n3,succ('#skF_1')),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_21949,c_21949,c_20000]) ).

tff(c_21975,plain,
    sum(sum(n3,succ('#skF_1')),n12) != sum(n2,sum(n13,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_632,c_21974]) ).

tff(c_22169,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_21945,c_21938,c_332,c_21950,c_652,c_21950,c_21975]) ).

tff(c_22170,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_21899]) ).

tff(c_22172,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_22170]) ).

tff(c_22221,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_22172,c_768]) ).

tff(c_408,plain,
    sum(n10,n15) = n9,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_318,plain,
    sum(n13,n12) = n9,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_22220,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_22172,c_800]) ).

tff(c_22249,plain,
    sum(sum(pred('#skF_1'),n15),sum(n13,n12)) != sum(sum(pred('#skF_1'),n12),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_22220,c_22220,c_20000]) ).

tff(c_22250,plain,
    sum(sum(pred('#skF_1'),n15),n9) != sum(sum(pred('#skF_1'),n12),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_318,c_22249]) ).

tff(c_22440,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_542,c_414,c_22221,c_452,c_408,c_22221,c_22250]) ).

tff(c_22441,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_22170]) ).

tff(c_22443,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_22441]) ).

tff(c_22491,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_22443,c_780]) ).

tff(c_330,plain,
    sum(n13,n6) = n3,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_22490,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_22443,c_812]) ).

tff(c_22512,plain,
    sum(sum(pred('#skF_1'),n15),sum(n13,n6)) != sum(sum(pred('#skF_1'),n6),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_22490,c_22490,c_20000]) ).

tff(c_22513,plain,
    sum(sum(pred('#skF_1'),n6),n12) != sum(sum(pred('#skF_1'),n15),n3),
    inference(demodulation,[status(thm),theory(equality)],[c_330,c_22512]) ).

tff(c_22711,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_656,c_600,c_22491,c_414,c_618,c_22491,c_22513]) ).

tff(c_22712,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_22441]) ).

tff(c_22714,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_22712]) ).

tff(c_22762,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_22714,c_770]) ).

tff(c_440,plain,
    sum(n9,n15) = n8,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_320,plain,
    sum(n13,n11) = n8,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_22761,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_22714,c_802]) ).

tff(c_22783,plain,
    sum(sum(pred('#skF_1'),n15),sum(n13,n11)) != sum(sum(pred('#skF_1'),n11),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_22761,c_22761,c_20000]) ).

tff(c_22784,plain,
    sum(sum(pred('#skF_1'),n15),n8) != sum(sum(pred('#skF_1'),n11),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_320,c_22783]) ).

tff(c_22982,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_606,c_448,c_22762,c_486,c_440,c_22762,c_22784]) ).

tff(c_22983,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_22712]) ).

tff(c_22985,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_22983]) ).

tff(c_23034,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_22985,c_810]) ).

tff(c_568,plain,
    sum(n5,n15) = n4,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_23033,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_22985,c_778]) ).

tff(c_23054,plain,
    sum(sum(n5,n15),sum(n13,succ('#skF_1'))) != sum(sum(n5,succ('#skF_1')),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_23033,c_23033,c_20000]) ).

tff(c_23055,plain,
    sum(sum(n5,succ('#skF_1')),n12) != sum(n4,sum(n13,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_568,c_23054]) ).

tff(c_23253,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_622,c_328,c_23034,c_350,c_584,c_23034,c_23055]) ).

tff(c_23254,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_22983]) ).

tff(c_23256,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_23254]) ).

tff(c_23305,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_23256,c_804]) ).

tff(c_472,plain,
    sum(n8,n15) = n7,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_23303,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_23256,c_772]) ).

tff(c_23329,plain,
    sum(sum(n8,n15),sum(n13,succ('#skF_1'))) != sum(sum(n8,succ('#skF_1')),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_23303,c_23303,c_20000]) ).

tff(c_23330,plain,
    sum(sum(n8,succ('#skF_1')),n12) != sum(n7,sum(n13,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_472,c_23329]) ).

tff(c_23524,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_19755,c_322,c_23305,c_19754,c_482,c_23305,c_23330]) ).

tff(c_23525,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_23254]) ).

tff(c_23527,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_23525]) ).

tff(c_23577,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_23527,c_808]) ).

tff(c_19779,plain,
    sum(n6,n8) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_19734,c_550]) ).

tff(c_536,plain,
    sum(n6,n15) = n5,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_23575,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_23527,c_776]) ).

tff(c_23596,plain,
    sum(sum(n6,n15),sum(n13,succ('#skF_1'))) != sum(sum(n6,succ('#skF_1')),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_23575,c_23575,c_20000]) ).

tff(c_23597,plain,
    sum(sum(n6,succ('#skF_1')),n12) != sum(n5,sum(n13,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_536,c_23596]) ).

tff(c_23795,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_588,c_326,c_23577,c_19758,c_19779,c_23577,c_23597]) ).

tff(c_23796,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_23525]) ).

tff(c_23845,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_23796,c_806]) ).

tff(c_504,plain,
    sum(n7,n15) = n6,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_23846,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_23796,c_774]) ).

tff(c_23870,plain,
    sum(sum(n7,n15),sum(n13,succ('#skF_1'))) != sum(sum(n7,succ('#skF_1')),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_23846,c_23846,c_20000]) ).

tff(c_23871,plain,
    sum(sum(n7,succ('#skF_1')),n12) != sum(n6,sum(n13,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_504,c_23870]) ).

tff(c_24065,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_554,c_324,c_23845,c_734,c_516,c_23845,c_23871]) ).

tff(c_24066,plain,
    ( ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_15950]) ).

tff(c_24068,plain,
    n2 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_24066]) ).

tff(c_24113,plain,
    sum(n9,n9) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_24068,c_452]) ).

tff(c_710,plain,
    sum(n1,n8) = n9,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_706,plain,
    sum(n1,n10) = n11,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_712,plain,
    sum(n1,n7) = n8,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_714,plain,
    sum(n1,n6) = n7,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_24100,plain,
    sum(n14,n4) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_24068,c_302]) ).

tff(c_24335,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' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' )
    | ( n15 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_24068,c_19732]) ).

tff(c_24336,plain,
    n15 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_24335]) ).

tff(c_24385,plain,
    pred('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_24336,c_760]) ).

tff(c_24109,plain,
    sum(n1,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_24068,c_724]) ).

tff(c_24386,plain,
    succ('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_24336,c_792]) ).

tff(c_24114,plain,
    succ('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_24068,c_818]) ).

tff(c_24116,plain,
    pred('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_24068,c_786]) ).

tff(c_24137,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n1,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n1,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_24116,c_24116,c_242]) ).

tff(c_24334,plain,
    sum(sum(pred('#skF_1'),n3),sum(n1,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_720,c_24114,c_24114,c_24137]) ).

tff(c_24409,plain,
    sum(sum(pred('#skF_1'),n3),sum(n1,n0)) != sum(sum(pred('#skF_1'),n0),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_24386,c_24386,c_24334]) ).

tff(c_24410,plain,
    sum(sum(pred('#skF_1'),n3),n1) != sum(sum(pred('#skF_1'),n0),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_726,c_24409]) ).

tff(c_24604,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_24100,c_310,c_24385,c_24109,c_304,c_24385,c_24410]) ).

tff(c_24605,plain,
    ( ( n14 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_24335]) ).

tff(c_24607,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_24605]) ).

tff(c_24071,plain,
    sum(n1,'#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_24068,c_722]) ).

tff(c_24609,plain,
    sum('#skF_1','#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_24607,c_24071]) ).

tff(c_24117,plain,
    succ(n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_24068,c_820]) ).

tff(c_24614,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_24607,c_24117]) ).

tff(c_24086,plain,
    sum('#skF_2',n4) = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_24068,c_686]) ).

tff(c_24111,plain,
    sum(n0,'#skF_2') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_24068,c_24068,c_754]) ).

tff(c_24658,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_24607,c_788]) ).

tff(c_24608,plain,
    sum(sum(pred('#skF_1'),n3),sum('#skF_1',succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_24607,c_24334]) ).

tff(c_24874,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_656,c_24609,c_24614,c_24086,c_24111,c_24614,c_24658,c_752,c_24658,c_24608]) ).

tff(c_24875,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' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_24605]) ).

tff(c_24877,plain,
    n14 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_24875]) ).

tff(c_24925,plain,
    succ('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_24877,c_794]) ).

tff(c_24926,plain,
    pred('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_24877,c_762]) ).

tff(c_24950,plain,
    sum(sum(n13,n3),sum(n1,succ('#skF_1'))) != sum(sum(n13,succ('#skF_1')),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_24926,c_24926,c_24334]) ).

tff(c_24951,plain,
    sum(sum(n13,succ('#skF_1')),n4) != sum(n0,sum(n1,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_336,c_24950]) ).

tff(c_25145,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_758,c_696,c_24925,c_366,c_312,c_24925,c_24951]) ).

tff(c_25146,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_24875]) ).

tff(c_25148,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_25146]) ).

tff(c_25196,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_25148,c_24114]) ).

tff(c_25197,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_25148,c_24116]) ).

tff(c_25226,plain,
    sum(sum(n1,n3),sum(n1,succ('#skF_1'))) != sum(sum(n1,succ('#skF_1')),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_25197,c_25197,c_24334]) ).

tff(c_25227,plain,
    sum(sum(n1,succ('#skF_1')),n4) != sum(n4,sum(n1,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_720,c_25226]) ).

tff(c_25421,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_622,c_720,c_25196,c_622,c_720,c_25196,c_25227]) ).

tff(c_25422,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_25146]) ).

tff(c_25424,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_25422]) ).

tff(c_25473,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_25424,c_764]) ).

tff(c_368,plain,
    sum(n12,n3) = n15,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_25472,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_25424,c_796]) ).

tff(c_25493,plain,
    sum(sum(pred('#skF_1'),n3),sum(n1,n14)) != sum(sum(pred('#skF_1'),n14),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_25472,c_25472,c_24334]) ).

tff(c_25494,plain,
    sum(sum(pred('#skF_1'),n3),n15) != sum(sum(pred('#skF_1'),n14),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_698,c_25493]) ).

tff(c_25692,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_430,c_346,c_25473,c_248,c_368,c_25473,c_25494]) ).

tff(c_25693,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_25422]) ).

tff(c_25695,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_25693]) ).

tff(c_688,plain,
    sum(n2,n3) = n5,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_24108,plain,
    sum('#skF_2',n3) = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_24068,c_688]) ).

tff(c_25701,plain,
    sum('#skF_2','#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_25695,c_24108]) ).

tff(c_24115,plain,
    pred(n3) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_24068,c_784]) ).

tff(c_25703,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_25695,c_24115]) ).

tff(c_25746,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_25695,c_816]) ).

tff(c_718,plain,
    sum(n1,n4) = n5,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_25696,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n1,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_25695,c_24334]) ).

tff(c_25962,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_588,c_25701,c_25703,c_558,c_24086,c_25703,c_25746,c_718,c_25746,c_25696]) ).

tff(c_25963,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_25693]) ).

tff(c_25965,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_25963]) ).

tff(c_25996,plain,
    sum(n8,n4) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_25965,c_494]) ).

tff(c_25997,plain,
    sum(n14,n14) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_25965,c_282]) ).

tff(c_26014,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_25965,c_766]) ).

tff(c_400,plain,
    sum(n11,n3) = n14,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_700,plain,
    sum(n1,n13) = n14,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_26013,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_25965,c_798]) ).

tff(c_26034,plain,
    sum(sum(pred('#skF_1'),n3),sum(n1,n13)) != sum(sum(pred('#skF_1'),n13),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_26013,c_26013,c_24334]) ).

tff(c_26035,plain,
    sum(sum(pred('#skF_1'),n3),n14) != sum(sum(pred('#skF_1'),n13),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_700,c_26034]) ).

tff(c_26233,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_25996,c_25997,c_380,c_26014,c_400,c_26014,c_26035]) ).

tff(c_26234,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_25963]) ).

tff(c_26236,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_26234]) ).

tff(c_26265,plain,
    sum(n8,'#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_26236,c_494]) ).

tff(c_716,plain,
    sum(n1,n5) = n6,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_26286,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_26236,c_814]) ).

tff(c_26285,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_26236,c_782]) ).

tff(c_26237,plain,
    sum(sum(pred('#skF_1'),n3),sum(n1,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1'),
    inference(demodulation,[status(thm),theory(equality)],[c_26236,c_24334]) ).

tff(c_26503,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_26265,c_554,c_716,c_26286,c_652,c_26286,c_26285,c_656,c_26285,c_26237]) ).

tff(c_26504,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_26234]) ).

tff(c_26506,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_26504]) ).

tff(c_26554,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_26506,c_800]) ).

tff(c_432,plain,
    sum(n10,n3) = n13,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_26555,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_26506,c_768]) ).

tff(c_26583,plain,
    sum(sum(n10,n3),sum(n1,succ('#skF_1'))) != sum(sum(n10,succ('#skF_1')),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_26555,c_26555,c_24334]) ).

tff(c_26584,plain,
    sum(sum(n10,succ('#skF_1')),n4) != sum(n13,sum(n1,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_432,c_26583]) ).

tff(c_26774,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_316,c_702,c_26554,c_558,c_414,c_26554,c_26584]) ).

tff(c_26775,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_26504]) ).

tff(c_26777,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_26775]) ).

tff(c_26824,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_26777,c_812]) ).

tff(c_624,plain,
    sum(n4,n3) = n7,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_26825,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_26777,c_780]) ).

tff(c_26846,plain,
    sum(sum(n4,n3),sum(n1,succ('#skF_1'))) != sum(sum(n4,succ('#skF_1')),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_26825,c_26825,c_24334]) ).

tff(c_26847,plain,
    sum(sum(n4,succ('#skF_1')),n4) != sum(n7,sum(n1,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_624,c_26846]) ).

tff(c_27045,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_714,c_26824,c_430,c_618,c_26824,c_26847]) ).

tff(c_27046,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_26775]) ).

tff(c_27048,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_27046]) ).

tff(c_27096,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_27048,c_770]) ).

tff(c_464,plain,
    sum(n9,n3) = n12,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_704,plain,
    sum(n1,n11) = n12,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_27095,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_27048,c_802]) ).

tff(c_27117,plain,
    sum(sum(pred('#skF_1'),n3),sum(n1,n11)) != sum(sum(pred('#skF_1'),n11),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_27095,c_27095,c_24334]) ).

tff(c_27118,plain,
    sum(sum(pred('#skF_1'),n3),n12) != sum(sum(pred('#skF_1'),n11),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_704,c_27117]) ).

tff(c_27316,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_622,c_448,c_27096,c_350,c_464,c_27096,c_27118]) ).

tff(c_27317,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_27046]) ).

tff(c_27319,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_27317]) ).

tff(c_27368,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_27319,c_810]) ).

tff(c_592,plain,
    sum(n5,n3) = n8,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_27367,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_27319,c_778]) ).

tff(c_27388,plain,
    sum(sum(n5,n3),sum(n1,succ('#skF_1'))) != sum(sum(n5,succ('#skF_1')),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_27367,c_27367,c_24334]) ).

tff(c_27389,plain,
    sum(sum(n5,succ('#skF_1')),n4) != sum(n8,sum(n1,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_592,c_27388]) ).

tff(c_27587,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_486,c_712,c_27368,c_366,c_584,c_27368,c_27389]) ).

tff(c_27588,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_27317]) ).

tff(c_27590,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_27588]) ).

tff(c_27639,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_27590,c_804]) ).

tff(c_24085,plain,
    sum(n8,n10) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_24068,c_482]) ).

tff(c_496,plain,
    sum(n8,n3) = n11,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_27637,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_27590,c_772]) ).

tff(c_27663,plain,
    sum(sum(n8,n3),sum(n1,succ('#skF_1'))) != sum(sum(n8,succ('#skF_1')),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_27637,c_27637,c_24334]) ).

tff(c_27664,plain,
    sum(sum(n8,succ('#skF_1')),n4) != sum(n11,sum(n1,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_496,c_27663]) ).

tff(c_27858,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_384,c_706,c_27639,c_24086,c_24085,c_27639,c_27664]) ).

tff(c_27859,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_27588]) ).

tff(c_27861,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_27859]) ).

tff(c_27911,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_27861,c_808]) ).

tff(c_560,plain,
    sum(n6,n3) = n9,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_27909,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_27861,c_776]) ).

tff(c_27930,plain,
    sum(sum(n6,n3),sum(n1,succ('#skF_1'))) != sum(sum(n6,succ('#skF_1')),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_27909,c_27909,c_24334]) ).

tff(c_27931,plain,
    sum(sum(n6,succ('#skF_1')),n4) != sum(n9,sum(n1,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_560,c_27930]) ).

tff(c_28129,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_24113,c_710,c_27911,c_24100,c_550,c_27911,c_27931]) ).

tff(c_28130,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_27859]) ).

tff(c_28179,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_28130,c_806]) ).

tff(c_528,plain,
    sum(n7,n3) = n10,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_28180,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_28130,c_774]) ).

tff(c_28208,plain,
    sum(sum(n7,n3),sum(n1,succ('#skF_1'))) != sum(sum(n7,succ('#skF_1')),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_28180,c_28180,c_24334]) ).

tff(c_28209,plain,
    sum(sum(n7,succ('#skF_1')),n4) != sum(n10,sum(n1,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_28208]) ).

tff(c_28399,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_418,c_708,c_28179,c_750,c_516,c_28179,c_28209]) ).

tff(c_28400,plain,
    ( ( n3 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_24066]) ).

tff(c_28402,plain,
    n13 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_28400]) ).

tff(c_28669,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' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n14 = '#skF_1' )
    | ( n15 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_28402,c_19732]) ).

tff(c_28670,plain,
    n15 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_28669]) ).

tff(c_28720,plain,
    succ('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_28670,c_792]) ).

tff(c_28719,plain,
    pred('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_28670,c_760]) ).

tff(c_28449,plain,
    succ('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_28402,c_796]) ).

tff(c_28450,plain,
    pred('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_28402,c_764]) ).

tff(c_28471,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n12,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_28450,c_28450,c_242]) ).

tff(c_28668,plain,
    sum(sum(pred('#skF_1'),n14),sum(n12,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_346,c_28449,c_28449,c_28471]) ).

tff(c_28743,plain,
    sum(sum(n14,n14),sum(n12,succ('#skF_1'))) != sum(sum(n14,succ('#skF_1')),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_28719,c_28719,c_28668]) ).

tff(c_28744,plain,
    sum(sum(n14,succ('#skF_1')),n10) != sum(n12,sum(n12,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_282,c_28743]) ).

tff(c_28938,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_350,c_374,c_28720,c_290,c_310,c_28720,c_28744]) ).

tff(c_28939,plain,
    ( ( n14 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_28669]) ).

tff(c_28941,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_28939]) ).

tff(c_28990,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_28941,c_788]) ).

tff(c_28991,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_28941,c_820]) ).

tff(c_29014,plain,
    sum(sum(pred('#skF_1'),n14),sum(n12,n2)) != sum(sum(pred('#skF_1'),n2),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_28991,c_28991,c_28668]) ).

tff(c_29015,plain,
    sum(sum(pred('#skF_1'),n2),n10) != sum(sum(pred('#skF_1'),n14),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_370,c_29014]) ).

tff(c_29209,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_282,c_730,c_28990,c_674,c_754,c_28990,c_29015]) ).

tff(c_29210,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' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n14 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_28939]) ).

tff(c_29212,plain,
    n14 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_29210]) ).

tff(c_28440,plain,
    sum('#skF_2',n14) = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_28402,c_314]) ).

tff(c_29214,plain,
    sum('#skF_2','#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_29212,c_28440]) ).

tff(c_28451,plain,
    pred(n14) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_28402,c_762]) ).

tff(c_29221,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_29212,c_28451]) ).

tff(c_354,plain,
    sum(n12,n10) = n6,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_28423,plain,
    sum('#skF_2',n15) = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_28402,c_312]) ).

tff(c_29262,plain,
    succ('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_29212,c_794]) ).

tff(c_29213,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n12,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_29212,c_28668]) ).

tff(c_29479,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_384,c_29214,c_29221,c_354,c_28423,c_29221,c_29262,c_344,c_29262,c_29213]) ).

tff(c_29480,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_29210]) ).

tff(c_29482,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_29480]) ).

tff(c_29531,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_29482,c_786]) ).

tff(c_610,plain,
    sum(n4,n10) = n14,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_29529,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_29482,c_818]) ).

tff(c_29551,plain,
    sum(sum(pred('#skF_1'),n14),sum(n12,n3)) != sum(sum(pred('#skF_1'),n3),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_29529,c_29529,c_28668]) ).

tff(c_29552,plain,
    sum(sum(pred('#skF_1'),n3),n10) != sum(sum(pred('#skF_1'),n14),n15),
    inference(demodulation,[status(thm),theory(equality)],[c_368,c_29551]) ).

tff(c_29750,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_248,c_698,c_29531,c_610,c_720,c_29531,c_29552]) ).

tff(c_29751,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_29480]) ).

tff(c_29753,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_29751]) ).

tff(c_29799,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_29753,c_28449]) ).

tff(c_29802,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_29753,c_28450]) ).

tff(c_29835,plain,
    sum(sum(n12,n14),sum(n12,succ('#skF_1'))) != sum(sum(n12,succ('#skF_1')),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_29802,c_29802,c_28668]) ).

tff(c_29836,plain,
    sum(sum(n12,succ('#skF_1')),n10) != sum(n10,sum(n12,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_346,c_29835]) ).

tff(c_30026,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_418,c_346,c_29799,c_418,c_346,c_29799,c_29836]) ).

tff(c_30027,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_29751]) ).

tff(c_30029,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_30027]) ).

tff(c_30079,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_30029,c_816]) ).

tff(c_30078,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_30029,c_784]) ).

tff(c_30106,plain,
    sum(sum(n2,n14),sum(n12,succ('#skF_1'))) != sum(sum(n2,succ('#skF_1')),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_30078,c_30078,c_28668]) ).

tff(c_30107,plain,
    sum(sum(n2,succ('#skF_1')),n10) != sum(n0,sum(n12,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_666,c_30106]) ).

tff(c_30297,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_758,c_366,c_30079,c_546,c_686,c_30079,c_30107]) ).

tff(c_30298,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_30027]) ).

tff(c_30300,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_30298]) ).

tff(c_348,plain,
    sum(n12,n13) = n9,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_28425,plain,
    sum(n12,'#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_28402,c_348]) ).

tff(c_30304,plain,
    sum('#skF_1','#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_30300,c_28425]) ).

tff(c_28448,plain,
    succ(n12) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_28402,c_798]) ).

tff(c_30308,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_30300,c_28448]) ).

tff(c_28405,plain,
    sum(n11,'#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_28402,c_380]) ).

tff(c_30351,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_30300,c_766]) ).

tff(c_378,plain,
    sum(n11,n14) = n9,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_30301,plain,
    sum(sum(pred('#skF_1'),n14),sum('#skF_1',succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_30300,c_28668]) ).

tff(c_30567,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_452,c_30304,c_30308,c_482,c_28405,c_30308,c_30351,c_378,c_30351,c_30301]) ).

tff(c_30568,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_30298]) ).

tff(c_30570,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_30568]) ).

tff(c_30619,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_30570,c_814]) ).

tff(c_634,plain,
    sum(n3,n14) = n1,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_30618,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_30570,c_782]) ).

tff(c_30639,plain,
    sum(sum(n3,n14),sum(n12,succ('#skF_1'))) != sum(sum(n3,succ('#skF_1')),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_30618,c_30618,c_28668]) ).

tff(c_30640,plain,
    sum(sum(n3,succ('#skF_1')),n10) != sum(n1,sum(n12,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_634,c_30639]) ).

tff(c_30838,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_724,c_364,c_30619,c_482,c_652,c_30619,c_30640]) ).

tff(c_30839,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_30568]) ).

tff(c_30841,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_30839]) ).

tff(c_30890,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_30841,c_768]) ).

tff(c_30889,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_30841,c_800]) ).

tff(c_30914,plain,
    sum(sum(pred('#skF_1'),n14),sum(n12,n12)) != sum(sum(pred('#skF_1'),n12),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_30889,c_30889,c_28668]) ).

tff(c_30915,plain,
    sum(sum(pred('#skF_1'),n14),n8) != sum(sum(pred('#skF_1'),n12),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_350,c_30914]) ).

tff(c_31109,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_546,c_414,c_30890,c_486,c_410,c_30890,c_30915]) ).

tff(c_31110,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_30839]) ).

tff(c_31112,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_31110]) ).

tff(c_31160,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_31112,c_780]) ).

tff(c_31159,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_31112,c_812]) ).

tff(c_31181,plain,
    sum(sum(pred('#skF_1'),n14),sum(n12,n6)) != sum(sum(pred('#skF_1'),n6),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_31159,c_31159,c_28668]) ).

tff(c_31182,plain,
    sum(sum(pred('#skF_1'),n6),n10) != sum(sum(pred('#skF_1'),n14),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_362,c_31181]) ).

tff(c_31380,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_690,c_602,c_31160,c_418,c_618,c_31160,c_31182]) ).

tff(c_31381,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_31110]) ).

tff(c_31383,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_31381]) ).

tff(c_31409,plain,
    sum(n4,'#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_31383,c_610]) ).

tff(c_31432,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_31383,c_770]) ).

tff(c_442,plain,
    sum(n9,n14) = n7,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_31431,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_31383,c_802]) ).

tff(c_352,plain,
    sum(n12,n11) = n7,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_31384,plain,
    sum(sum(pred('#skF_1'),n14),sum(n12,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1'),
    inference(demodulation,[status(thm),theory(equality)],[c_31383,c_28668]) ).

tff(c_31650,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_31409,c_448,c_31432,c_520,c_442,c_31432,c_31431,c_352,c_31431,c_31384]) ).

tff(c_31651,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_31381]) ).

tff(c_31653,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_31651]) ).

tff(c_31673,plain,
    sum(n12,n10) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_31653,c_354]) ).

tff(c_31667,plain,
    sum(n3,n3) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_31653,c_656]) ).

tff(c_570,plain,
    sum(n5,n14) = n3,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_31701,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_31653,c_778]) ).

tff(c_360,plain,
    sum(n12,n7) = n3,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_31702,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_31653,c_810]) ).

tff(c_31730,plain,
    sum(sum(pred('#skF_1'),n14),sum(n12,n7)) != sum(sum(pred('#skF_1'),n7),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_31702,c_31702,c_28668]) ).

tff(c_31731,plain,
    sum(sum(pred('#skF_1'),n7),n10) != sum(sum(pred('#skF_1'),n14),n3),
    inference(demodulation,[status(thm),theory(equality)],[c_360,c_31730]) ).

tff(c_31921,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_31673,c_31667,c_570,c_31701,c_584,c_31701,c_31731]) ).

tff(c_31922,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_31651]) ).

tff(c_31924,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_31922]) ).

tff(c_31971,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_31924,c_772]) ).

tff(c_31973,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_31924,c_804]) ).

tff(c_31997,plain,
    sum(sum(pred('#skF_1'),n14),sum(n12,n10)) != sum(sum(pred('#skF_1'),n10),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_31973,c_31973,c_28668]) ).

tff(c_31998,plain,
    sum(sum(pred('#skF_1'),n14),n6) != sum(sum(pred('#skF_1'),n10),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_354,c_31997]) ).

tff(c_32192,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_674,c_482,c_31971,c_554,c_474,c_31971,c_31998]) ).

tff(c_32193,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_31922]) ).

tff(c_32195,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_32193]) ).

tff(c_32245,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_32195,c_808]) ).

tff(c_32243,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_32195,c_776]) ).

tff(c_32264,plain,
    sum(sum(n6,n14),sum(n12,succ('#skF_1'))) != sum(sum(n6,succ('#skF_1')),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_32243,c_32243,c_28668]) ).

tff(c_32265,plain,
    sum(sum(n6,succ('#skF_1')),n10) != sum(n4,sum(n12,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_538,c_32264]) ).

tff(c_32463,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_622,c_358,c_32245,c_290,c_550,c_32245,c_32265]) ).

tff(c_32464,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_32193]) ).

tff(c_32514,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_32464,c_774]) ).

tff(c_356,plain,
    sum(n12,n9) = n5,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_32513,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_32464,c_806]) ).

tff(c_32538,plain,
    sum(sum(pred('#skF_1'),n14),sum(n12,n9)) != sum(sum(pred('#skF_1'),n9),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_32513,c_32513,c_28668]) ).

tff(c_32539,plain,
    sum(sum(pred('#skF_1'),n9),n10) != sum(sum(pred('#skF_1'),n14),n5),
    inference(demodulation,[status(thm),theory(equality)],[c_356,c_32538]) ).

tff(c_32733,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_588,c_506,c_32514,c_738,c_516,c_32514,c_32539]) ).

tff(c_32734,plain,
    ( ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n3 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_28400]) ).

tff(c_35677,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_32734]) ).

tff(c_33003,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_32734]) ).

tff(c_33053,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_33003,c_816]) ).

tff(c_33052,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_33003,c_784]) ).

tff(c_32736,plain,
    n15 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_19732]) ).

tff(c_32785,plain,
    pred('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_32736,c_760]) ).

tff(c_32786,plain,
    succ('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_32736,c_792]) ).

tff(c_32814,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),n0)) != sum(sum(pred('#skF_1'),n0),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_32786,c_32786,c_242]) ).

tff(c_33245,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_298,c_686,c_33053,c_690,c_302,c_33053,c_33052,c_694,c_33052,c_310,c_32785,c_32785,c_32814]) ).

tff(c_33246,plain,
    ( ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_32734]) ).

tff(c_33248,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_33246]) ).

tff(c_33296,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_33248,c_798]) ).

tff(c_33297,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_33248,c_766]) ).

tff(c_33510,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_294,c_380,c_33296,c_384,c_284,c_33296,c_33297,c_406,c_33297,c_310,c_32785,c_32785,c_32814]) ).

tff(c_33511,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_33246]) ).

tff(c_33513,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_33511]) ).

tff(c_33561,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_33513,c_782]) ).

tff(c_33562,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_33513,c_814]) ).

tff(c_33779,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_294,c_652,c_33561,c_656,c_662,c_33561,c_33562,c_300,c_33562,c_310,c_32785,c_32785,c_32814]) ).

tff(c_33780,plain,
    ( ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_33511]) ).

tff(c_33782,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_33780]) ).

tff(c_33830,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_33782,c_800]) ).

tff(c_33831,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_33782,c_768]) ).

tff(c_34048,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_298,c_414,c_33830,c_418,c_286,c_33830,c_33831,c_438,c_33831,c_310,c_32785,c_32785,c_32814]) ).

tff(c_34049,plain,
    ( ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_33780]) ).

tff(c_34052,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_34049]) ).

tff(c_34100,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_34052,c_780]) ).

tff(c_34099,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_34052,c_812]) ).

tff(c_34051,plain,
    sum(sum(n14,succ('#skF_2')),sum(pred('#skF_2'),n0)) != sum(n14,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_310,c_32785,c_32785,c_32814]) ).

tff(c_34121,plain,
    sum(sum(n14,n6),sum(pred('#skF_2'),n0)) != sum(n14,sum(pred('#skF_2'),n6)),
    inference(demodulation,[status(thm),theory(equality)],[c_34099,c_34099,c_34051]) ).

tff(c_34122,plain,
    sum(n4,sum(pred('#skF_2'),n0)) != sum(n14,sum(pred('#skF_2'),n6)),
    inference(demodulation,[status(thm),theory(equality)],[c_298,c_34121]) ).

tff(c_34320,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_290,c_618,c_34100,c_622,c_630,c_34100,c_34122]) ).

tff(c_34321,plain,
    ( ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_34049]) ).

tff(c_34323,plain,
    n10 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_34321]) ).

tff(c_34370,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_34323,c_802]) ).

tff(c_34371,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_34323,c_770]) ).

tff(c_34392,plain,
    sum(sum(n14,succ('#skF_2')),sum(n9,n0)) != sum(n14,sum(n9,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_34371,c_34371,c_34051]) ).

tff(c_34393,plain,
    sum(sum(n14,succ('#skF_2')),n9) != sum(n14,sum(n9,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_470,c_34392]) ).

tff(c_34591,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_302,c_448,c_34370,c_452,c_288,c_34370,c_34393]) ).

tff(c_34592,plain,
    ( ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_34321]) ).

tff(c_34594,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_34592]) ).

tff(c_34642,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_34594,c_778]) ).

tff(c_34643,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_34594,c_810]) ).

tff(c_34671,plain,
    sum(sum(n14,n7),sum(pred('#skF_2'),n0)) != sum(n14,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_34643,c_34643,c_34051]) ).

tff(c_34672,plain,
    sum(n5,sum(pred('#skF_2'),n0)) != sum(n14,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_296,c_34671]) ).

tff(c_34862,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_286,c_584,c_34642,c_588,c_598,c_34642,c_34672]) ).

tff(c_34863,plain,
    ( ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_34592]) ).

tff(c_34865,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_34863]) ).

tff(c_34912,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_34865,c_772]) ).

tff(c_34914,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_34865,c_804]) ).

tff(c_34938,plain,
    sum(sum(n14,n10),sum(pred('#skF_2'),n0)) != sum(n14,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_34914,c_34914,c_34051]) ).

tff(c_34939,plain,
    sum(n8,sum(pred('#skF_2'),n0)) != sum(n14,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_290,c_34938]) ).

tff(c_35133,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_306,c_482,c_34912,c_486,c_502,c_34912,c_34939]) ).

tff(c_35134,plain,
    ( ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_34863]) ).

tff(c_35136,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_35134]) ).

tff(c_35184,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_35136,c_776]) ).

tff(c_35186,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_35136,c_808]) ).

tff(c_35205,plain,
    sum(sum(n14,n8),sum(pred('#skF_2'),n0)) != sum(n14,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_35186,c_35186,c_34051]) ).

tff(c_35206,plain,
    sum(n6,sum(pred('#skF_2'),n0)) != sum(n14,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_294,c_35205]) ).

tff(c_35404,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_282,c_550,c_35184,c_554,c_566,c_35184,c_35206]) ).

tff(c_35405,plain,
    n8 = '#skF_2',
    inference(splitRight,[status(thm)],[c_35134]) ).

tff(c_35455,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_35405,c_774]) ).

tff(c_35454,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_35405,c_806]) ).

tff(c_35479,plain,
    sum(sum(n14,n9),sum(pred('#skF_2'),n0)) != sum(n14,sum(pred('#skF_2'),n9)),
    inference(demodulation,[status(thm),theory(equality)],[c_35454,c_35454,c_34051]) ).

tff(c_35480,plain,
    sum(n7,sum(pred('#skF_2'),n0)) != sum(n14,sum(pred('#skF_2'),n9)),
    inference(demodulation,[status(thm),theory(equality)],[c_292,c_35479]) ).

tff(c_35674,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_310,c_516,c_35455,c_520,c_534,c_35455,c_35480]) ).

tff(c_35675,plain,
    ( ( n14 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_19732]) ).

tff(c_35944,plain,
    ( ( n14 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( 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(demodulation,[status(thm),theory(equality)],[c_35677,c_35675]) ).

tff(c_35945,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_35944]) ).

tff(c_35994,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_35945,c_788]) ).

tff(c_35995,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_35945,c_820]) ).

tff(c_35726,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_35677,c_816]) ).

tff(c_35725,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_35677,c_784]) ).

tff(c_35750,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n2,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n2,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_35725,c_35725,c_242]) ).

tff(c_35943,plain,
    sum(sum(pred('#skF_1'),n4),sum(n2,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_686,c_35726,c_35726,c_35750]) ).

tff(c_36018,plain,
    sum(sum(pred('#skF_1'),n4),sum(n2,n2)) != sum(sum(pred('#skF_1'),n2),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_35995,c_35995,c_35943]) ).

tff(c_36019,plain,
    sum(sum(pred('#skF_1'),n4),n4) != sum(sum(pred('#skF_1'),n2),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_690,c_36018]) ).

tff(c_36213,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_682,c_754,c_35994,c_622,c_750,c_35994,c_36019]) ).

tff(c_36214,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' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_35944]) ).

tff(c_36216,plain,
    n14 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_36214]) ).

tff(c_36265,plain,
    pred('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_36216,c_762]) ).

tff(c_36264,plain,
    succ('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_36216,c_794]) ).

tff(c_36289,plain,
    sum(sum(pred('#skF_1'),n4),sum(n2,n15)) != sum(sum(pred('#skF_1'),n15),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_36264,c_36264,c_35943]) ).

tff(c_36290,plain,
    sum(sum(pred('#skF_1'),n4),n1) != sum(sum(pred('#skF_1'),n15),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_664,c_36289]) ).

tff(c_36484,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_362,c_312,c_36265,c_724,c_334,c_36265,c_36290]) ).

tff(c_36485,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_36214]) ).

tff(c_36487,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_36485]) ).

tff(c_35713,plain,
    sum(n2,'#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_35677,c_688]) ).

tff(c_36490,plain,
    sum('#skF_1','#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_36487,c_35713]) ).

tff(c_35723,plain,
    succ(n2) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_35677,c_818]) ).

tff(c_36496,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_36487,c_35723]) ).

tff(c_35682,plain,
    sum(n1,'#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_35677,c_720]) ).

tff(c_36537,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_36487,c_786]) ).

tff(c_36488,plain,
    sum(sum(pred('#skF_1'),n4),sum('#skF_1',succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_36487,c_35943]) ).

tff(c_36754,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_588,c_36490,c_36496,c_618,c_35682,c_36496,c_36537,c_718,c_36537,c_36488]) ).

tff(c_36755,plain,
    ( ( '#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' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_36485]) ).

tff(c_36757,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_36755]) ).

tff(c_36805,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_36757,c_796]) ).

tff(c_426,plain,
    sum(n10,n6) = n0,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_36806,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_36757,c_764]) ).

tff(c_36830,plain,
    sum(sum(n12,n4),sum(n2,succ('#skF_1'))) != sum(sum(n12,succ('#skF_1')),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_36806,c_36806,c_35943]) ).

tff(c_36831,plain,
    sum(sum(n12,succ('#skF_1')),n6) != sum(n0,sum(n2,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_366,c_36830]) ).

tff(c_37025,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_758,c_666,c_36805,c_426,c_346,c_36805,c_36831]) ).

tff(c_37026,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_36755]) ).

tff(c_37028,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_37026]) ).

tff(c_37075,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_37028,c_35726]) ).

tff(c_37102,plain,
    sum(sum(pred('#skF_1'),n4),sum(n2,n4)) != sum(sum(pred('#skF_1'),n4),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_37075,c_37075,c_35943]) ).

tff(c_37105,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_686,c_37102]) ).

tff(c_37106,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_37026]) ).

tff(c_37108,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_37106]) ).

tff(c_37157,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_37108,c_766]) ).

tff(c_398,plain,
    sum(n11,n4) = n15,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_668,plain,
    sum(n2,n13) = n15,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_37156,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_37108,c_798]) ).

tff(c_37177,plain,
    sum(sum(pred('#skF_1'),n4),sum(n2,n13)) != sum(sum(pred('#skF_1'),n13),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_37156,c_37156,c_35943]) ).

tff(c_37178,plain,
    sum(sum(pred('#skF_1'),n4),n15) != sum(sum(pred('#skF_1'),n13),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_668,c_37177]) ).

tff(c_37376,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_490,c_380,c_37157,c_248,c_398,c_37157,c_37178]) ).

tff(c_37377,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_37106]) ).

tff(c_37379,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_37377]) ).

tff(c_654,plain,
    sum(n3,n4) = n7,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_35716,plain,
    sum('#skF_2',n4) = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_35677,c_654]) ).

tff(c_37385,plain,
    sum('#skF_2','#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_37379,c_35716]) ).

tff(c_35724,plain,
    pred(n4) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_35677,c_782]) ).

tff(c_37387,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_37379,c_35724]) ).

tff(c_35693,plain,
    sum('#skF_2',n5) = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_35677,c_652]) ).

tff(c_37430,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_37379,c_814]) ).

tff(c_684,plain,
    sum(n2,n5) = n7,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_37380,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n2,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_37379,c_35943]) ).

tff(c_37646,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_37385,c_37387,c_490,c_35693,c_37387,c_37430,c_684,c_37430,c_37380]) ).

tff(c_37647,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_37377]) ).

tff(c_37649,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_37647]) ).

tff(c_37697,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_37649,c_800]) ).

tff(c_37698,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_37649,c_768]) ).

tff(c_37726,plain,
    sum(sum(n10,n4),sum(n2,succ('#skF_1'))) != sum(sum(n10,succ('#skF_1')),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_37698,c_37698,c_35943]) ).

tff(c_37727,plain,
    sum(sum(n10,succ('#skF_1')),n6) != sum(n14,sum(n2,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_430,c_37726]) ).

tff(c_37917,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_282,c_670,c_37697,c_554,c_414,c_37697,c_37727]) ).

tff(c_37918,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_37647]) ).

tff(c_37920,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_37918]) ).

tff(c_37968,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_37920,c_780]) ).

tff(c_37967,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_37920,c_812]) ).

tff(c_37989,plain,
    sum(sum(pred('#skF_1'),n4),sum(n2,n6)) != sum(sum(pred('#skF_1'),n6),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_37967,c_37967,c_35943]) ).

tff(c_37990,plain,
    sum(sum(pred('#skF_1'),n6),n6) != sum(sum(pred('#skF_1'),n4),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_682,c_37989]) ).

tff(c_38188,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_486,c_622,c_37968,c_426,c_618,c_37968,c_37990]) ).

tff(c_38189,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_37918]) ).

tff(c_38191,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_38189]) ).

tff(c_38222,plain,
    sum(n4,n6) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_38191,c_618]) ).

tff(c_38232,plain,
    sum(n13,n13) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_38191,c_316]) ).

tff(c_38239,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_38191,c_770]) ).

tff(c_462,plain,
    sum(n9,n4) = n13,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_672,plain,
    sum(n2,n11) = n13,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_38238,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_38191,c_802]) ).

tff(c_38260,plain,
    sum(sum(pred('#skF_1'),n4),sum(n2,n11)) != sum(sum(pred('#skF_1'),n11),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_38238,c_38238,c_35943]) ).

tff(c_38261,plain,
    sum(sum(pred('#skF_1'),n4),n13) != sum(sum(pred('#skF_1'),n11),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_672,c_38260]) ).

tff(c_38459,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_38222,c_38232,c_448,c_38239,c_462,c_38239,c_38261]) ).

tff(c_38460,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_38189]) ).

tff(c_38462,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_38460]) ).

tff(c_38479,plain,
    sum(n12,'#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_38462,c_362]) ).

tff(c_680,plain,
    sum(n2,n7) = n9,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_38512,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_38462,c_810]) ).

tff(c_38511,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_38462,c_778]) ).

tff(c_590,plain,
    sum(n5,n4) = n9,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_38463,plain,
    sum(sum(pred('#skF_1'),n4),sum(n2,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1'),
    inference(demodulation,[status(thm),theory(equality)],[c_38462,c_35943]) ).

tff(c_38729,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_38479,c_452,c_680,c_38512,c_584,c_38512,c_38511,c_590,c_38511,c_38463]) ).

tff(c_38730,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_38460]) ).

tff(c_38732,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_38730]) ).

tff(c_38781,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_38732,c_804]) ).

tff(c_38779,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_38732,c_772]) ).

tff(c_38805,plain,
    sum(sum(n8,n4),sum(n2,succ('#skF_1'))) != sum(sum(n8,succ('#skF_1')),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_38779,c_38779,c_35943]) ).

tff(c_38806,plain,
    sum(sum(n8,succ('#skF_1')),n6) != sum(n12,sum(n2,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_494,c_38805]) ).

tff(c_39000,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_350,c_674,c_38781,c_682,c_482,c_38781,c_38806]) ).

tff(c_39001,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_38730]) ).

tff(c_39003,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_39001]) ).

tff(c_39051,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_39003,c_776]) ).

tff(c_39053,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_39003,c_808]) ).

tff(c_39072,plain,
    sum(sum(pred('#skF_1'),n4),sum(n2,n8)) != sum(sum(pred('#skF_1'),n8),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_39053,c_39053,c_35943]) ).

tff(c_39073,plain,
    sum(sum(pred('#skF_1'),n8),n6) != sum(sum(pred('#skF_1'),n4),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_678,c_39072]) ).

tff(c_39271,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_418,c_558,c_39051,c_298,c_550,c_39051,c_39073]) ).

tff(c_39272,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_39001]) ).

tff(c_39321,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_39272,c_806]) ).

tff(c_526,plain,
    sum(n7,n4) = n11,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_39322,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_39272,c_774]) ).

tff(c_39350,plain,
    sum(sum(n7,n4),sum(n2,succ('#skF_1'))) != sum(sum(n7,succ('#skF_1')),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_39322,c_39322,c_35943]) ).

tff(c_39351,plain,
    sum(sum(n7,succ('#skF_1')),n6) != sum(n11,sum(n2,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_39350]) ).

tff(c_39541,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_384,c_676,c_39321,c_746,c_516,c_39321,c_39351]) ).

tff(c_39542,plain,
    ( ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_32734]) ).

tff(c_42224,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_39542]) ).

tff(c_42255,plain,
    sum(n6,n6) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_42224,c_554]) ).

tff(c_396,plain,
    sum(n11,n5) = n0,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_42252,plain,
    sum(n14,n14) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_42224,c_282]) ).

tff(c_39811,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_39542]) ).

tff(c_39859,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_39811,c_798]) ).

tff(c_39860,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_39811,c_766]) ).

tff(c_39544,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_35675]) ).

tff(c_39593,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_39544,c_788]) ).

tff(c_39594,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_39544,c_820]) ).

tff(c_39622,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),n2)) != sum(sum(pred('#skF_1'),n2),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_39594,c_39594,c_242]) ).

tff(c_40057,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_678,c_380,c_39859,c_316,c_732,c_39859,c_39860,c_402,c_39860,c_754,c_39593,c_39593,c_39622]) ).

tff(c_40058,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_39542]) ).

tff(c_40060,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_40058]) ).

tff(c_40108,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_40060,c_782]) ).

tff(c_40109,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_40060,c_814]) ).

tff(c_40326,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_678,c_652,c_40108,c_588,c_658,c_40108,c_40109,c_748,c_40109,c_754,c_39593,c_39593,c_39622]) ).

tff(c_40327,plain,
    ( ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_40058]) ).

tff(c_40329,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_40327]) ).

tff(c_40377,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_40329,c_800]) ).

tff(c_40378,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_40329,c_768]) ).

tff(c_40595,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_682,c_414,c_40377,c_350,c_734,c_40377,c_40378,c_434,c_40378,c_754,c_39593,c_39593,c_39622]) ).

tff(c_40596,plain,
    ( ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_40327]) ).

tff(c_40599,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_40596]) ).

tff(c_40647,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_40599,c_780]) ).

tff(c_40646,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_40599,c_812]) ).

tff(c_40598,plain,
    sum(sum(n0,succ('#skF_2')),sum(pred('#skF_2'),n2)) != sum(n2,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_754,c_39593,c_39593,c_39622]) ).

tff(c_40668,plain,
    sum(sum(n0,n6),sum(pred('#skF_2'),n2)) != sum(n2,sum(pred('#skF_2'),n6)),
    inference(demodulation,[status(thm),theory(equality)],[c_40646,c_40646,c_40598]) ).

tff(c_40669,plain,
    sum(n6,sum(pred('#skF_2'),n2)) != sum(n2,sum(pred('#skF_2'),n6)),
    inference(demodulation,[status(thm),theory(equality)],[c_746,c_40668]) ).

tff(c_40867,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_674,c_618,c_40647,c_554,c_626,c_40647,c_40669]) ).

tff(c_40868,plain,
    ( ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_40596]) ).

tff(c_40870,plain,
    n10 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_40868]) ).

tff(c_40917,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_40870,c_802]) ).

tff(c_40918,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_40870,c_770]) ).

tff(c_40939,plain,
    sum(sum(n0,succ('#skF_2')),sum(n9,n2)) != sum(n2,sum(n9,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_40918,c_40918,c_40598]) ).

tff(c_40940,plain,
    sum(sum(n0,succ('#skF_2')),n11) != sum(n2,sum(n9,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_466,c_40939]) ).

tff(c_41138,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_686,c_448,c_40917,c_384,c_736,c_40917,c_40940]) ).

tff(c_41139,plain,
    ( ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_40868]) ).

tff(c_41141,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_41139]) ).

tff(c_41189,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_41141,c_778]) ).

tff(c_41190,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_41141,c_810]) ).

tff(c_41218,plain,
    sum(sum(n0,n7),sum(pred('#skF_2'),n2)) != sum(n2,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_41190,c_41190,c_40598]) ).

tff(c_41219,plain,
    sum(n7,sum(pred('#skF_2'),n2)) != sum(n2,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_744,c_41218]) ).

tff(c_41409,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_670,c_584,c_41189,c_520,c_594,c_41189,c_41219]) ).

tff(c_41410,plain,
    ( ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_41139]) ).

tff(c_41412,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_41410]) ).

tff(c_41459,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_41412,c_772]) ).

tff(c_41461,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_41412,c_804]) ).

tff(c_41485,plain,
    sum(sum(n0,n10),sum(pred('#skF_2'),n2)) != sum(n2,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_41461,c_41461,c_40598]) ).

tff(c_41486,plain,
    sum(n2,sum(pred('#skF_2'),n10)) != sum(n10,sum(pred('#skF_2'),n2)),
    inference(demodulation,[status(thm),theory(equality)],[c_738,c_41485]) ).

tff(c_41680,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_418,c_498,c_41459,c_690,c_482,c_41459,c_41486]) ).

tff(c_41681,plain,
    ( ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_41410]) ).

tff(c_41683,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_41681]) ).

tff(c_41731,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_41683,c_776]) ).

tff(c_41733,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_41683,c_808]) ).

tff(c_41752,plain,
    sum(sum(n0,n8),sum(pred('#skF_2'),n2)) != sum(n2,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_41733,c_41733,c_40598]) ).

tff(c_41753,plain,
    sum(n8,sum(pred('#skF_2'),n2)) != sum(n2,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_742,c_41752]) ).

tff(c_41951,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_666,c_550,c_41731,c_486,c_562,c_41731,c_41753]) ).

tff(c_41952,plain,
    n8 = '#skF_2',
    inference(splitRight,[status(thm)],[c_41681]) ).

tff(c_42002,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_41952,c_774]) ).

tff(c_42001,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_41952,c_806]) ).

tff(c_42026,plain,
    sum(sum(n0,n9),sum(pred('#skF_2'),n2)) != sum(n2,sum(pred('#skF_2'),n9)),
    inference(demodulation,[status(thm),theory(equality)],[c_42001,c_42001,c_40598]) ).

tff(c_42027,plain,
    sum(n9,sum(pred('#skF_2'),n2)) != sum(n2,sum(pred('#skF_2'),n9)),
    inference(demodulation,[status(thm),theory(equality)],[c_740,c_42026]) ).

tff(c_42221,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_694,c_516,c_42002,c_452,c_530,c_42002,c_42027]) ).

tff(c_42222,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' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_35675]) ).

tff(c_42491,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' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_42224,c_42222]) ).

tff(c_42492,plain,
    n14 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_42491]) ).

tff(c_42541,plain,
    pred('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_42492,c_762]) ).

tff(c_42238,plain,
    sum('#skF_2',n8) = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_42224,c_358]) ).

tff(c_42260,plain,
    sum(n13,n15) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_42224,c_312]) ).

tff(c_42540,plain,
    succ('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_42492,c_794]) ).

tff(c_42271,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_42224,c_798]) ).

tff(c_42272,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_42224,c_766]) ).

tff(c_42297,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n11,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n11,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_42272,c_42272,c_242]) ).

tff(c_42490,plain,
    sum(sum(pred('#skF_1'),n13),sum(n11,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_380,c_42271,c_42271,c_42297]) ).

tff(c_42565,plain,
    sum(sum(pred('#skF_1'),n13),sum(n11,n15)) != sum(sum(pred('#skF_1'),n15),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_42540,c_42540,c_42490]) ).

tff(c_42566,plain,
    sum(sum(pred('#skF_1'),n15),n8) != sum(sum(pred('#skF_1'),n13),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_376,c_42565]) ).

tff(c_42760,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_418,c_316,c_42541,c_42238,c_42260,c_42541,c_42566]) ).

tff(c_42761,plain,
    ( ( n13 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_42491]) ).

tff(c_42763,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_42761]) ).

tff(c_42812,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_42763,c_786]) ).

tff(c_42242,plain,
    sum(n4,n8) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_42224,c_614]) ).

tff(c_42810,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_42763,c_818]) ).

tff(c_42832,plain,
    sum(sum(pred('#skF_1'),n13),sum(n11,n3)) != sum(sum(pred('#skF_1'),n3),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_42810,c_42810,c_42490]) ).

tff(c_42833,plain,
    sum(sum(pred('#skF_1'),n3),n8) != sum(sum(pred('#skF_1'),n13),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_400,c_42832]) ).

tff(c_43031,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_42252,c_700,c_42812,c_42242,c_720,c_42812,c_42833]) ).

tff(c_43032,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_42761]) ).

tff(c_43034,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_43032]) ).

tff(c_42263,plain,
    sum('#skF_2',n13) = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_42224,c_348]) ).

tff(c_43038,plain,
    sum('#skF_2','#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_43034,c_42263]) ).

tff(c_42273,plain,
    pred(n13) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_42224,c_764]) ).

tff(c_43043,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_43034,c_42273]) ).

tff(c_422,plain,
    sum(n10,n8) = n2,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_42264,plain,
    sum('#skF_2',n14) = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_42224,c_346]) ).

tff(c_43084,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_43034,c_796]) ).

tff(c_43035,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n11,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_43034,c_42490]) ).

tff(c_43301,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_452,c_43038,c_43043,c_422,c_42264,c_43043,c_43084,c_378,c_43084,c_43035]) ).

tff(c_43302,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_43032]) ).

tff(c_43304,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_43302]) ).

tff(c_43354,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_43304,c_816]) ).

tff(c_43353,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_43304,c_784]) ).

tff(c_43377,plain,
    sum(sum(n2,n13),sum(n11,succ('#skF_1'))) != sum(sum(n2,succ('#skF_1')),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_43353,c_43353,c_42490]) ).

tff(c_43378,plain,
    sum(sum(n2,succ('#skF_1')),n8) != sum(n15,sum(n11,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_668,c_43377]) ).

tff(c_43572,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_248,c_398,c_43354,c_550,c_686,c_43354,c_43378]) ).

tff(c_43573,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_43302]) ).

tff(c_43575,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_43573]) ).

tff(c_43621,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_43575,c_42271]) ).

tff(c_43623,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_43575,c_42272]) ).

tff(c_43653,plain,
    sum(sum(n11,n13),sum(n11,succ('#skF_1'))) != sum(sum(n11,succ('#skF_1')),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_43623,c_43623,c_42490]) ).

tff(c_43654,plain,
    sum(sum(n11,succ('#skF_1')),n8) != sum(n8,sum(n11,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_380,c_43653]) ).

tff(c_43848,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_486,c_380,c_43621,c_486,c_380,c_43621,c_43654]) ).

tff(c_43849,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_43573]) ).

tff(c_43851,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_43849]) ).

tff(c_43900,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_43851,c_814]) ).

tff(c_636,plain,
    sum(n3,n13) = n0,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_43899,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_43851,c_782]) ).

tff(c_43920,plain,
    sum(sum(n3,n13),sum(n11,succ('#skF_1'))) != sum(sum(n3,succ('#skF_1')),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_43899,c_43899,c_42490]) ).

tff(c_43921,plain,
    sum(sum(n3,succ('#skF_1')),n8) != sum(n0,sum(n11,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_636,c_43920]) ).

tff(c_44119,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_758,c_396,c_43900,c_486,c_652,c_43900,c_43921]) ).

tff(c_44120,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_43849]) ).

tff(c_44122,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_44120]) ).

tff(c_382,plain,
    sum(n11,n12) = n7,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_42233,plain,
    sum(n11,'#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_42224,c_382]) ).

tff(c_44126,plain,
    sum('#skF_1','#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_44122,c_42233]) ).

tff(c_42270,plain,
    succ(n11) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_42224,c_800]) ).

tff(c_44131,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_44122,c_42270]) ).

tff(c_42250,plain,
    sum(n10,'#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_42224,c_414]) ).

tff(c_44173,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_44122,c_768]) ).

tff(c_412,plain,
    sum(n10,n13) = n7,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_44123,plain,
    sum(sum(pred('#skF_1'),n13),sum('#skF_1',succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_44122,c_42490]) ).

tff(c_44389,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_44126,c_44131,c_550,c_42250,c_44131,c_44173,c_412,c_44173,c_44123]) ).

tff(c_44390,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_44120]) ).

tff(c_44392,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_44390]) ).

tff(c_44440,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_44392,c_780]) ).

tff(c_394,plain,
    sum(n11,n6) = n1,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_44439,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_44392,c_812]) ).

tff(c_44461,plain,
    sum(sum(pred('#skF_1'),n13),sum(n11,n6)) != sum(sum(pred('#skF_1'),n6),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_44439,c_44439,c_42490]) ).

tff(c_44462,plain,
    sum(sum(pred('#skF_1'),n6),n8) != sum(sum(pred('#skF_1'),n13),n1),
    inference(demodulation,[status(thm),theory(equality)],[c_394,c_44461]) ).

tff(c_44660,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_724,c_604,c_44440,c_422,c_618,c_44440,c_44462]) ).

tff(c_44661,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_44390]) ).

tff(c_44663,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_44661]) ).

tff(c_44710,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_44663,c_802]) ).

tff(c_444,plain,
    sum(n9,n13) = n6,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_44711,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_44663,c_770]) ).

tff(c_44732,plain,
    sum(sum(n9,n13),sum(n11,succ('#skF_1'))) != sum(sum(n9,succ('#skF_1')),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_44711,c_44711,c_42490]) ).

tff(c_44733,plain,
    sum(sum(n9,succ('#skF_1')),n8) != sum(n6,sum(n11,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_444,c_44732]) ).

tff(c_44931,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_42255,c_384,c_44710,c_42242,c_448,c_44710,c_44733]) ).

tff(c_44932,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_44661]) ).

tff(c_44934,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_44932]) ).

tff(c_44982,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_44934,c_778]) ).

tff(c_42234,plain,
    sum(n5,n7) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_42224,c_584]) ).

tff(c_392,plain,
    sum(n11,n7) = n2,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_44983,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_44934,c_810]) ).

tff(c_45011,plain,
    sum(sum(pred('#skF_1'),n13),sum(n11,n7)) != sum(sum(pred('#skF_1'),n7),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_44983,c_44983,c_42490]) ).

tff(c_45012,plain,
    sum(sum(pred('#skF_1'),n7),n8) != sum(sum(pred('#skF_1'),n13),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_392,c_45011]) ).

tff(c_45202,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_690,c_572,c_44982,c_42238,c_42234,c_44982,c_45012]) ).

tff(c_45203,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_44932]) ).

tff(c_45205,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_45203]) ).

tff(c_45252,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_45205,c_772]) ).

tff(c_386,plain,
    sum(n11,n10) = n5,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_45254,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_45205,c_804]) ).

tff(c_45282,plain,
    sum(sum(pred('#skF_1'),n13),sum(n11,n10)) != sum(sum(pred('#skF_1'),n10),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_45254,c_45254,c_42490]) ).

tff(c_45283,plain,
    sum(sum(pred('#skF_1'),n13),n5) != sum(sum(pred('#skF_1'),n10),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_386,c_45282]) ).

tff(c_45473,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_678,c_482,c_45252,c_588,c_476,c_45252,c_45283]) ).

tff(c_45474,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_45203]) ).

tff(c_45476,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_45474]) ).

tff(c_45526,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_45476,c_808]) ).

tff(c_45524,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_45476,c_776]) ).

tff(c_45545,plain,
    sum(sum(n6,n13),sum(n11,succ('#skF_1'))) != sum(sum(n6,succ('#skF_1')),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_45524,c_45524,c_42490]) ).

tff(c_45546,plain,
    sum(sum(n6,succ('#skF_1')),n8) != sum(n3,sum(n11,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_540,c_45545]) ).

tff(c_45744,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_656,c_390,c_45526,c_294,c_550,c_45526,c_45546]) ).

tff(c_45745,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_45474]) ).

tff(c_45760,plain,
    sum(n4,n4) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_45745,c_622]) ).

tff(c_45784,plain,
    sum(n0,'#skF_1') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_45745,c_45745,c_742]) ).

tff(c_388,plain,
    sum(n11,n9) = n4,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_45795,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_45745,c_806]) ).

tff(c_45796,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_45745,c_774]) ).

tff(c_508,plain,
    sum(n7,n13) = n4,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_45747,plain,
    sum(sum(pred('#skF_1'),n13),sum(n11,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1'),
    inference(demodulation,[status(thm),theory(equality)],[c_45745,c_42490]) ).

tff(c_46013,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_45760,c_45784,c_388,c_45795,c_516,c_45795,c_45796,c_508,c_45796,c_45747]) ).

tff(c_46014,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_39542]) ).

tff(c_46016,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_46014]) ).

tff(c_46039,plain,
    sum(n10,n10) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_46016,c_418]) ).

tff(c_46029,plain,
    sum('#skF_2',n8) = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_46016,c_614]) ).

tff(c_46024,plain,
    sum(n9,n11) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_46016,c_448]) ).

tff(c_638,plain,
    sum(n3,n12) = n15,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_46027,plain,
    sum(n12,n8) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_46016,c_358]) ).

tff(c_46283,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' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_46016,c_42222]) ).

tff(c_46284,plain,
    n14 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_46283]) ).

tff(c_46333,plain,
    pred('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_46284,c_762]) ).

tff(c_46050,plain,
    sum(n2,n2) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_46016,c_690]) ).

tff(c_46332,plain,
    succ('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_46284,c_794]) ).

tff(c_46063,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_46016,c_782]) ).

tff(c_46064,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_46016,c_814]) ).

tff(c_46085,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n5)) != sum(sum(pred('#skF_1'),n5),sum(pred('#skF_2'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_46064,c_46064,c_242]) ).

tff(c_46282,plain,
    sum(sum(pred('#skF_1'),n5),sum(n3,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_46063,c_652,c_46063,c_46085]) ).

tff(c_46353,plain,
    sum(sum(pred('#skF_1'),n5),sum(n3,n15)) != sum(sum(pred('#skF_1'),n15),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_46332,c_46332,c_46282]) ).

tff(c_46354,plain,
    sum(sum(pred('#skF_1'),n5),n2) != sum(sum(pred('#skF_1'),n15),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_632,c_46353]) ).

tff(c_46552,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_46027,c_312,c_46333,c_46050,c_332,c_46333,c_46354]) ).

tff(c_46553,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_46283]) ).

tff(c_46555,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_46553]) ).

tff(c_46602,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_46555,c_818]) ).

tff(c_46019,plain,
    sum(n1,n3) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_46016,c_720]) ).

tff(c_46604,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_46555,c_786]) ).

tff(c_46632,plain,
    sum(sum(n1,n5),sum(n3,succ('#skF_1'))) != sum(sum(n1,succ('#skF_1')),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_46604,c_46604,c_46282]) ).

tff(c_46633,plain,
    sum(sum(n1,succ('#skF_1')),n8) != sum(n6,sum(n3,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_716,c_46632]) ).

tff(c_46823,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_554,c_656,c_46602,c_46029,c_46019,c_46602,c_46633]) ).

tff(c_46824,plain,
    ( ( n3 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_46553]) ).

tff(c_46826,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_46824]) ).

tff(c_46874,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_46826,c_796]) ).

tff(c_46875,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_46826,c_764]) ).

tff(c_46899,plain,
    sum(sum(n12,n5),sum(n3,succ('#skF_1'))) != sum(sum(n12,succ('#skF_1')),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_46875,c_46875,c_46282]) ).

tff(c_46900,plain,
    sum(sum(n12,succ('#skF_1')),n8) != sum(n1,sum(n3,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_364,c_46899]) ).

tff(c_47094,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_724,c_634,c_46874,c_422,c_346,c_46874,c_46900]) ).

tff(c_47095,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_46824]) ).

tff(c_47097,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_47095]) ).

tff(c_46056,plain,
    sum(n3,'#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_46016,c_654]) ).

tff(c_47104,plain,
    sum('#skF_1','#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_47097,c_46056]) ).

tff(c_46065,plain,
    succ(n3) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_46016,c_816]) ).

tff(c_47106,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_47097,c_46065]) ).

tff(c_46033,plain,
    sum(n2,'#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_46016,c_686]) ).

tff(c_47148,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_47097,c_784]) ).

tff(c_47098,plain,
    sum(sum(pred('#skF_1'),n5),sum('#skF_1',succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_47097,c_46282]) ).

tff(c_47364,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_47104,c_47106,c_550,c_46033,c_47106,c_47148,c_684,c_47148,c_47098]) ).

tff(c_47365,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_47095]) ).

tff(c_47367,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_47365]) ).

tff(c_47415,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_47367,c_798]) ).

tff(c_47416,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_47367,c_766]) ).

tff(c_47440,plain,
    sum(sum(n11,n5),sum(n3,succ('#skF_1'))) != sum(sum(n11,succ('#skF_1')),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_47416,c_47416,c_46282]) ).

tff(c_47441,plain,
    sum(sum(n11,succ('#skF_1')),n8) != sum(n0,sum(n3,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_396,c_47440]) ).

tff(c_47635,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_758,c_636,c_47415,c_486,c_380,c_47415,c_47441]) ).

tff(c_47636,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_47365]) ).

tff(c_47638,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_47636]) ).

tff(c_47687,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_47638,c_46064]) ).

tff(c_47685,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_47638,c_46063]) ).

tff(c_47712,plain,
    sum(sum(n3,n5),sum(n3,succ('#skF_1'))) != sum(sum(n3,succ('#skF_1')),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_47685,c_47685,c_46282]) ).

tff(c_47713,plain,
    sum(sum(n3,succ('#skF_1')),n8) != sum(n8,sum(n3,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_652,c_47712]) ).

tff(c_47911,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_486,c_652,c_47687,c_486,c_652,c_47687,c_47713]) ).

tff(c_47912,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_47636]) ).

tff(c_47914,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_47912]) ).

tff(c_47962,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_47914,c_800]) ).

tff(c_47963,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_47914,c_768]) ).

tff(c_47991,plain,
    sum(sum(n10,n5),sum(n3,succ('#skF_1'))) != sum(sum(n10,succ('#skF_1')),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_47963,c_47963,c_46282]) ).

tff(c_47992,plain,
    sum(sum(n10,succ('#skF_1')),n8) != sum(n15,sum(n3,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_428,c_47991]) ).

tff(c_48182,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_248,c_638,c_47962,c_550,c_414,c_47962,c_47992]) ).

tff(c_48183,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_47912]) ).

tff(c_48185,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_48183]) ).

tff(c_620,plain,
    sum(n4,n5) = n9,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_46057,plain,
    sum('#skF_2',n5) = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_46016,c_620]) ).

tff(c_48191,plain,
    sum('#skF_2','#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_48185,c_46057]) ).

tff(c_46062,plain,
    pred(n5) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_46016,c_780]) ).

tff(c_48193,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_48185,c_46062]) ).

tff(c_46041,plain,
    sum('#skF_2',n6) = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_46016,c_618]) ).

tff(c_48235,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_48185,c_812]) ).

tff(c_650,plain,
    sum(n3,n6) = n9,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_48186,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n3,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_48185,c_46282]) ).

tff(c_48452,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_452,c_48191,c_48193,c_422,c_46041,c_48193,c_48235,c_650,c_48235,c_48186]) ).

tff(c_48453,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_48183]) ).

tff(c_48455,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_48453]) ).

tff(c_48503,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_48455,c_770]) ).

tff(c_460,plain,
    sum(n9,n5) = n14,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_640,plain,
    sum(n3,n11) = n14,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_48502,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_48455,c_802]) ).

tff(c_48524,plain,
    sum(sum(pred('#skF_1'),n5),sum(n3,n11)) != sum(sum(pred('#skF_1'),n11),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_48502,c_48502,c_46282]) ).

tff(c_48525,plain,
    sum(sum(pred('#skF_1'),n5),n14) != sum(sum(pred('#skF_1'),n11),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_640,c_48524]) ).

tff(c_48723,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_46029,c_46024,c_48503,c_282,c_460,c_48503,c_48525]) ).

tff(c_48724,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_48453]) ).

tff(c_48726,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_48724]) ).

tff(c_48774,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_48726,c_778]) ).

tff(c_648,plain,
    sum(n3,n7) = n10,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_48775,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_48726,c_810]) ).

tff(c_48803,plain,
    sum(sum(pred('#skF_1'),n5),sum(n3,n7)) != sum(sum(pred('#skF_1'),n7),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_48775,c_48775,c_46282]) ).

tff(c_48804,plain,
    sum(sum(pred('#skF_1'),n7),n8) != sum(sum(pred('#skF_1'),n5),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_648,c_48803]) ).

tff(c_48994,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_46039,c_588,c_48774,c_46027,c_584,c_48774,c_48804]) ).

tff(c_48995,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_48724]) ).

tff(c_48997,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_48995]) ).

tff(c_49046,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_48997,c_804]) ).

tff(c_492,plain,
    sum(n8,n5) = n13,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_49044,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_48997,c_772]) ).

tff(c_49070,plain,
    sum(sum(n8,n5),sum(n3,succ('#skF_1'))) != sum(sum(n8,succ('#skF_1')),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_49044,c_49044,c_46282]) ).

tff(c_49071,plain,
    sum(sum(n8,succ('#skF_1')),n8) != sum(n13,sum(n3,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_492,c_49070]) ).

tff(c_49265,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_316,c_642,c_49046,c_678,c_482,c_49046,c_49071]) ).

tff(c_49266,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_48995]) ).

tff(c_49268,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_49266]) ).

tff(c_49316,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_49268,c_776]) ).

tff(c_646,plain,
    sum(n3,n8) = n11,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_49318,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_49268,c_808]) ).

tff(c_49337,plain,
    sum(sum(pred('#skF_1'),n5),sum(n3,n8)) != sum(sum(pred('#skF_1'),n8),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_49318,c_49318,c_46282]) ).

tff(c_49338,plain,
    sum(sum(pred('#skF_1'),n8),n8) != sum(sum(pred('#skF_1'),n5),n11),
    inference(demodulation,[status(thm),theory(equality)],[c_646,c_49337]) ).

tff(c_49536,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_384,c_556,c_49316,c_294,c_550,c_49316,c_49338]) ).

tff(c_49537,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_49266]) ).

tff(c_49575,plain,
    sum(n0,'#skF_1') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_49537,c_49537,c_742]) ).

tff(c_49578,plain,
    sum(n12,n12) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_49537,c_350]) ).

tff(c_524,plain,
    sum(n7,n5) = n12,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_49588,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_49537,c_774]) ).

tff(c_49587,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_49537,c_806]) ).

tff(c_644,plain,
    sum(n3,n9) = n12,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_49539,plain,
    sum(sum(pred('#skF_1'),n5),sum(n3,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1'),
    inference(demodulation,[status(thm),theory(equality)],[c_49537,c_46282]) ).

tff(c_49805,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_49575,c_49578,c_524,c_49588,c_516,c_49588,c_49587,c_644,c_49587,c_49539]) ).

tff(c_49806,plain,
    ( ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_46014]) ).

tff(c_51960,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_49806]) ).

tff(c_49808,plain,
    n14 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_42222]) ).

tff(c_49839,plain,
    sum(n12,'#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_49808,c_346]) ).

tff(c_49854,plain,
    sum(n6,n8) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_49808,c_550]) ).

tff(c_49811,plain,
    sum(n12,n2) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_49808,c_370]) ).

tff(c_50075,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_49806]) ).

tff(c_50124,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_50075,c_768]) ).

tff(c_50123,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_50075,c_800]) ).

tff(c_49856,plain,
    succ('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_49808,c_794]) ).

tff(c_49857,plain,
    pred('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_49808,c_762]) ).

tff(c_49878,plain,
    sum(sum(n13,succ('#skF_2')),sum(pred('#skF_2'),succ('#skF_1'))) != sum(sum(n13,succ('#skF_1')),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_49857,c_49857,c_242]) ).

tff(c_50333,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_362,c_414,c_50124,c_452,c_408,c_50124,c_50123,c_318,c_50123,c_312,c_49856,c_49856,c_49878]) ).

tff(c_50334,plain,
    ( ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_49806]) ).

tff(c_50336,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_50334]) ).

tff(c_50384,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_50336,c_780]) ).

tff(c_50383,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_50336,c_812]) ).

tff(c_50602,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_354,c_618,c_50384,c_656,c_600,c_50384,c_50383,c_330,c_50383,c_312,c_49856,c_49856,c_49878]) ).

tff(c_50603,plain,
    ( ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_50334]) ).

tff(c_50606,plain,
    n10 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_50603]) ).

tff(c_50654,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_50606,c_770]) ).

tff(c_50653,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_50606,c_802]) ).

tff(c_50605,plain,
    sum(sum(n13,succ('#skF_2')),sum(pred('#skF_2'),n15)) != sum(n12,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_312,c_49856,c_49856,c_49878]) ).

tff(c_50675,plain,
    sum(sum(n13,n11),sum(pred('#skF_2'),n15)) != sum(n12,sum(pred('#skF_2'),n11)),
    inference(demodulation,[status(thm),theory(equality)],[c_50653,c_50653,c_50605]) ).

tff(c_50676,plain,
    sum(n8,sum(pred('#skF_2'),n15)) != sum(n12,sum(pred('#skF_2'),n11)),
    inference(demodulation,[status(thm),theory(equality)],[c_320,c_50675]) ).

tff(c_50874,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_366,c_448,c_50654,c_486,c_440,c_50654,c_50676]) ).

tff(c_50875,plain,
    ( ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_50603]) ).

tff(c_50877,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_50875]) ).

tff(c_50925,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_50877,c_778]) ).

tff(c_50926,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_50877,c_810]) ).

tff(c_50954,plain,
    sum(sum(n13,n7),sum(pred('#skF_2'),n15)) != sum(n12,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_50926,c_50926,c_50605]) ).

tff(c_50955,plain,
    sum(n4,sum(pred('#skF_2'),n15)) != sum(n12,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_328,c_50954]) ).

tff(c_51145,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_350,c_584,c_50925,c_622,c_568,c_50925,c_50955]) ).

tff(c_51146,plain,
    ( ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_50875]) ).

tff(c_51148,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_51146]) ).

tff(c_51195,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_51148,c_772]) ).

tff(c_49830,plain,
    sum(n7,n7) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_49808,c_520]) ).

tff(c_51197,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_51148,c_804]) ).

tff(c_51221,plain,
    sum(sum(n13,n10),sum(pred('#skF_2'),n15)) != sum(n12,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_51197,c_51197,c_50605]) ).

tff(c_51222,plain,
    sum(n7,sum(pred('#skF_2'),n15)) != sum(n12,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_322,c_51221]) ).

tff(c_51416,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_49811,c_482,c_51195,c_49830,c_472,c_51195,c_51222]) ).

tff(c_51417,plain,
    ( ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_51146]) ).

tff(c_51419,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_51417]) ).

tff(c_51469,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_51419,c_808]) ).

tff(c_51467,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_51419,c_776]) ).

tff(c_51488,plain,
    sum(sum(n13,succ('#skF_2')),sum(n6,n15)) != sum(n12,sum(n6,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_51467,c_51467,c_50605]) ).

tff(c_51489,plain,
    sum(sum(n13,succ('#skF_2')),n5) != sum(n12,sum(n6,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_536,c_51488]) ).

tff(c_51687,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_49839,c_49854,c_51469,c_588,c_326,c_51469,c_51489]) ).

tff(c_51688,plain,
    n8 = '#skF_2',
    inference(splitRight,[status(thm)],[c_51417]) ).

tff(c_51738,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_51688,c_774]) ).

tff(c_51737,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_51688,c_806]) ).

tff(c_51762,plain,
    sum(sum(n13,n9),sum(pred('#skF_2'),n15)) != sum(n12,sum(pred('#skF_2'),n9)),
    inference(demodulation,[status(thm),theory(equality)],[c_51737,c_51737,c_50605]) ).

tff(c_51763,plain,
    sum(n6,sum(pred('#skF_2'),n15)) != sum(n12,sum(pred('#skF_2'),n9)),
    inference(demodulation,[status(thm),theory(equality)],[c_324,c_51762]) ).

tff(c_51957,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_374,c_516,c_51738,c_554,c_504,c_51738,c_51763]) ).

tff(c_51958,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_42222]) ).

tff(c_52227,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_51960,c_51958]) ).

tff(c_52228,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_52227]) ).

tff(c_52277,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_52228,c_786]) ).

tff(c_52275,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_52228,c_818]) ).

tff(c_52008,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_51960,c_768]) ).

tff(c_52007,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_51960,c_800]) ).

tff(c_52033,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n12)) != sum(sum(pred('#skF_1'),n12),sum(pred('#skF_2'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_52007,c_52007,c_242]) ).

tff(c_52226,plain,
    sum(sum(pred('#skF_1'),n12),sum(n10,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_52008,c_414,c_52008,c_52033]) ).

tff(c_52297,plain,
    sum(sum(pred('#skF_1'),n12),sum(n10,n3)) != sum(sum(pred('#skF_1'),n3),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_52275,c_52275,c_52226]) ).

tff(c_52298,plain,
    sum(sum(pred('#skF_1'),n3),n6) != sum(sum(pred('#skF_1'),n12),n13),
    inference(demodulation,[status(thm),theory(equality)],[c_432,c_52297]) ).

tff(c_52496,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_316,c_702,c_52277,c_618,c_720,c_52277,c_52298]) ).

tff(c_52497,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_52227]) ).

tff(c_52499,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_52497]) ).

tff(c_52547,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_52499,c_796]) ).

tff(c_52548,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_52499,c_764]) ).

tff(c_52572,plain,
    sum(sum(n12,n12),sum(n10,succ('#skF_1'))) != sum(sum(n12,succ('#skF_1')),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_52548,c_52548,c_52226]) ).

tff(c_52573,plain,
    sum(sum(n12,succ('#skF_1')),n6) != sum(n8,sum(n10,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_350,c_52572]) ).

tff(c_52767,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_486,c_410,c_52547,c_426,c_346,c_52547,c_52573]) ).

tff(c_52768,plain,
    ( ( n12 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_52497]) ).

tff(c_52770,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_52768]) ).

tff(c_52820,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_52770,c_816]) ).

tff(c_52819,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_52770,c_784]) ).

tff(c_52843,plain,
    sum(sum(n2,n12),sum(n10,succ('#skF_1'))) != sum(sum(n2,succ('#skF_1')),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_52819,c_52819,c_52226]) ).

tff(c_52844,plain,
    sum(sum(n2,succ('#skF_1')),n6) != sum(n14,sum(n10,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_670,c_52843]) ).

tff(c_53038,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_282,c_430,c_52820,c_554,c_686,c_52820,c_52844]) ).

tff(c_53039,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_52768]) ).

tff(c_53041,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_53039]) ).

tff(c_51975,plain,
    sum('#skF_2',n12) = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_51960,c_382]) ).

tff(c_53047,plain,
    sum('#skF_2','#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_53041,c_51975]) ).

tff(c_52009,plain,
    pred(n12) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_51960,c_766]) ).

tff(c_53049,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_53041,c_52009]) ).

tff(c_51963,plain,
    sum('#skF_2',n13) = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_51960,c_380]) ).

tff(c_53091,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_53041,c_798]) ).

tff(c_53042,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n10,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_53041,c_52226]) ).

tff(c_53308,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_53047,c_53049,c_490,c_51963,c_53049,c_53091,c_412,c_53091,c_53042]) ).

tff(c_53309,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_53039]) ).

tff(c_53311,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_53309]) ).

tff(c_53360,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_53311,c_814]) ).

tff(c_53359,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_53311,c_782]) ).

tff(c_53380,plain,
    sum(sum(n3,n12),sum(n10,succ('#skF_1'))) != sum(sum(n3,succ('#skF_1')),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_53359,c_53359,c_52226]) ).

tff(c_53381,plain,
    sum(sum(n3,succ('#skF_1')),n6) != sum(n15,sum(n10,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_638,c_53380]) ).

tff(c_53579,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_248,c_428,c_53360,c_490,c_652,c_53360,c_53381]) ).

tff(c_53580,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_53309]) ).

tff(c_53582,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_53580]) ).

tff(c_53630,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_53582,c_52007]) ).

tff(c_53664,plain,
    sum(sum(pred('#skF_1'),n12),sum(n10,n12)) != sum(sum(pred('#skF_1'),n12),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_53630,c_53630,c_52226]) ).

tff(c_53667,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_414,c_53664]) ).

tff(c_53668,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_53580]) ).

tff(c_53670,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_53668]) ).

tff(c_53718,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_53670,c_780]) ).

tff(c_53717,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_53670,c_812]) ).

tff(c_53739,plain,
    sum(sum(pred('#skF_1'),n12),sum(n10,n6)) != sum(sum(pred('#skF_1'),n6),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_53717,c_53717,c_52226]) ).

tff(c_53740,plain,
    sum(sum(pred('#skF_1'),n6),n6) != sum(sum(pred('#skF_1'),n12),n0),
    inference(demodulation,[status(thm),theory(equality)],[c_426,c_53739]) ).

tff(c_53938,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_758,c_606,c_53718,c_426,c_618,c_53718,c_53740]) ).

tff(c_53939,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_53668]) ).

tff(c_53941,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_53939]) ).

tff(c_53958,plain,
    sum(n5,n5) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_53941,c_588]) ).

tff(c_416,plain,
    sum(n10,n11) = n5,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_51996,plain,
    sum(n10,'#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_51960,c_416]) ).

tff(c_53944,plain,
    sum('#skF_1','#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_53941,c_51996]) ).

tff(c_53972,plain,
    sum(n4,n6) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_53941,c_618]) ).

tff(c_52006,plain,
    succ(n10) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_51960,c_802]) ).

tff(c_53950,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_53941,c_52006]) ).

tff(c_51979,plain,
    sum(n9,'#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_51960,c_448]) ).

tff(c_53991,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_53941,c_770]) ).

tff(c_446,plain,
    sum(n9,n12) = n5,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_53942,plain,
    sum(sum(pred('#skF_1'),n12),sum('#skF_1',succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_53941,c_52226]) ).

tff(c_54208,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_53958,c_53944,c_53972,c_53950,c_51979,c_53950,c_53991,c_446,c_53991,c_53942]) ).

tff(c_54209,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_53939]) ).

tff(c_54211,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_54209]) ).

tff(c_54227,plain,
    sum(n12,'#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_54211,c_362]) ).

tff(c_424,plain,
    sum(n10,n7) = n1,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_54261,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_54211,c_810]) ).

tff(c_54260,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_54211,c_778]) ).

tff(c_574,plain,
    sum(n5,n12) = n1,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_54212,plain,
    sum(sum(pred('#skF_1'),n12),sum(n10,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1'),
    inference(demodulation,[status(thm),theory(equality)],[c_54211,c_52226]) ).

tff(c_54478,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_54227,c_724,c_424,c_54261,c_584,c_54261,c_54260,c_574,c_54260,c_54212]) ).

tff(c_54479,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_54209]) ).

tff(c_54481,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_54479]) ).

tff(c_54530,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_54481,c_804]) ).

tff(c_54528,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_54481,c_772]) ).

tff(c_54554,plain,
    sum(sum(n8,n12),sum(n10,succ('#skF_1'))) != sum(sum(n8,succ('#skF_1')),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_54528,c_54528,c_52226]) ).

tff(c_54555,plain,
    sum(sum(n8,succ('#skF_1')),n6) != sum(n4,sum(n10,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_478,c_54554]) ).

tff(c_54749,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_622,c_418,c_54530,c_682,c_482,c_54530,c_54555]) ).

tff(c_54750,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_54479]) ).

tff(c_54752,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_54750]) ).

tff(c_54800,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_54752,c_776]) ).

tff(c_54802,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_54752,c_808]) ).

tff(c_54821,plain,
    sum(sum(pred('#skF_1'),n12),sum(n10,n8)) != sum(sum(pred('#skF_1'),n8),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_54802,c_54802,c_52226]) ).

tff(c_54822,plain,
    sum(sum(pred('#skF_1'),n8),n6) != sum(sum(pred('#skF_1'),n12),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_422,c_54821]) ).

tff(c_55020,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_690,c_542,c_54800,c_298,c_550,c_54800,c_54822]) ).

tff(c_55021,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_54750]) ).

tff(c_55070,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_55021,c_806]) ).

tff(c_55071,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_55021,c_774]) ).

tff(c_55099,plain,
    sum(sum(n7,n12),sum(n10,succ('#skF_1'))) != sum(sum(n7,succ('#skF_1')),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_55071,c_55071,c_52226]) ).

tff(c_55100,plain,
    sum(sum(n7,succ('#skF_1')),n6) != sum(n3,sum(n10,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_510,c_55099]) ).

tff(c_55290,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_656,c_420,c_55070,c_746,c_516,c_55070,c_55100]) ).

tff(c_55291,plain,
    ( ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_49806]) ).

tff(c_59071,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_55291]) ).

tff(c_57448,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_55291]) ).

tff(c_57496,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_57448,c_780]) ).

tff(c_57495,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_57448,c_812]) ).

tff(c_55293,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_51958]) ).

tff(c_55310,plain,
    sum(n4,n14) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_55293,c_602]) ).

tff(c_55322,plain,
    sum(n4,'#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_55293,c_626]) ).

tff(c_55311,plain,
    sum(n8,n10) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_55293,c_482]) ).

tff(c_55560,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_55291]) ).

tff(c_55607,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_55560,c_812]) ).

tff(c_55608,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_55560,c_780]) ).

tff(c_55340,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_55293,c_818]) ).

tff(c_55342,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_55293,c_786]) ).

tff(c_55363,plain,
    sum(sum(n1,succ('#skF_2')),sum(pred('#skF_2'),succ('#skF_1'))) != sum(sum(n1,succ('#skF_1')),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_55342,c_55342,c_242]) ).

tff(c_55826,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_610,c_618,c_55607,c_520,c_714,c_55607,c_55608,c_624,c_55608,c_720,c_55340,c_55340,c_55363]) ).

tff(c_55827,plain,
    ( ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_55291]) ).

tff(c_55829,plain,
    n10 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_55827]) ).

tff(c_55877,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_55829,c_770]) ).

tff(c_55876,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_55829,c_802]) ).

tff(c_56095,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_350,c_464,c_55877,c_622,c_448,c_55877,c_55876,c_704,c_55876,c_720,c_55340,c_55340,c_55363]) ).

tff(c_56096,plain,
    ( ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_55827]) ).

tff(c_56098,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_56096]) ).

tff(c_56148,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_56098,c_810]) ).

tff(c_56147,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_56098,c_778]) ).

tff(c_56099,plain,
    sum(sum(n1,succ('#skF_2')),sum(pred('#skF_2'),n3)) != sum(n4,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_720,c_55340,c_55340,c_55363]) ).

tff(c_56168,plain,
    sum(sum(n1,succ('#skF_2')),sum(n5,n3)) != sum(n4,sum(n5,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_56147,c_56147,c_56099]) ).

tff(c_56169,plain,
    sum(sum(n1,succ('#skF_2')),n8) != sum(n4,sum(n5,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_592,c_56168]) ).

tff(c_56367,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_606,c_584,c_56148,c_486,c_712,c_56148,c_56169]) ).

tff(c_56368,plain,
    ( ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_56096]) ).

tff(c_56370,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_56368]) ).

tff(c_56419,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_56370,c_804]) ).

tff(c_56417,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_56370,c_772]) ).

tff(c_56636,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_55322,c_55311,c_56419,c_384,c_706,c_56419,c_56417,c_496,c_56417,c_720,c_55340,c_55340,c_55363]) ).

tff(c_56637,plain,
    ( ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_56368]) ).

tff(c_56640,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_56637]) ).

tff(c_56690,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_56640,c_808]) ).

tff(c_55339,plain,
    sum(n9,n9) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_55293,c_452]) ).

tff(c_56688,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_56640,c_776]) ).

tff(c_56639,plain,
    sum(sum(n1,succ('#skF_2')),sum(pred('#skF_2'),n3)) != sum(n4,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_720,c_55340,c_55340,c_55363]) ).

tff(c_56709,plain,
    sum(sum(n1,succ('#skF_2')),sum(n6,n3)) != sum(n4,sum(n6,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_56688,c_56688,c_56639]) ).

tff(c_56710,plain,
    sum(sum(n1,succ('#skF_2')),n9) != sum(n4,sum(n6,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_560,c_56709]) ).

tff(c_56908,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_55310,c_550,c_56690,c_55339,c_710,c_56690,c_56710]) ).

tff(c_56909,plain,
    n8 = '#skF_2',
    inference(splitRight,[status(thm)],[c_56637]) ).

tff(c_56958,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_56909,c_806]) ).

tff(c_56959,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_56909,c_774]) ).

tff(c_56983,plain,
    sum(sum(n1,succ('#skF_2')),sum(n7,n3)) != sum(n4,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_56959,c_56959,c_56639]) ).

tff(c_56984,plain,
    sum(sum(n1,succ('#skF_2')),n10) != sum(n4,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_56983]) ).

tff(c_57178,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_630,c_516,c_56958,c_418,c_708,c_56958,c_56984]) ).

tff(c_57179,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_51958]) ).

tff(c_57181,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_57179]) ).

tff(c_57229,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_57181,c_796]) ).

tff(c_57230,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_57181,c_764]) ).

tff(c_57251,plain,
    sum(sum(n12,succ('#skF_2')),sum(pred('#skF_2'),succ('#skF_1'))) != sum(sum(n12,succ('#skF_1')),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_57230,c_57230,c_242]) ).

tff(c_57714,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_418,c_618,c_57496,c_690,c_602,c_57496,c_57495,c_362,c_57495,c_346,c_57229,c_57229,c_57251]) ).

tff(c_57715,plain,
    ( ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_55291]) ).

tff(c_57718,plain,
    n10 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_57715]) ).

tff(c_57762,plain,
    sum('#skF_2',n4) = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_57718,c_430]) ).

tff(c_57767,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_57718,c_770]) ).

tff(c_57766,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_57718,c_802]) ).

tff(c_57717,plain,
    sum(sum(n12,succ('#skF_2')),sum(pred('#skF_2'),n14)) != sum(n10,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_346,c_57229,c_57229,c_57251]) ).

tff(c_57719,plain,
    sum(sum(n12,succ('#skF_2')),sum(pred('#skF_2'),n14)) != sum('#skF_2',sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_57718,c_57717]) ).

tff(c_57985,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_57762,c_448,c_57767,c_520,c_442,c_57767,c_57766,c_352,c_57766,c_57719]) ).

tff(c_57986,plain,
    ( ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_57715]) ).

tff(c_57988,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_57986]) ).

tff(c_58015,plain,
    sum(n10,n12) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_57988,c_414]) ).

tff(c_58002,plain,
    sum(n3,n3) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_57988,c_656]) ).

tff(c_58036,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_57988,c_778]) ).

tff(c_58037,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_57988,c_810]) ).

tff(c_58065,plain,
    sum(sum(n12,n7),sum(pred('#skF_2'),n14)) != sum(n10,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_58037,c_58037,c_57717]) ).

tff(c_58066,plain,
    sum(n3,sum(pred('#skF_2'),n14)) != sum(n10,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_360,c_58065]) ).

tff(c_58256,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_58015,c_58002,c_584,c_58036,c_570,c_58036,c_58066]) ).

tff(c_58257,plain,
    ( ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_57986]) ).

tff(c_58259,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_58257]) ).

tff(c_58306,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_58259,c_772]) ).

tff(c_58308,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_58259,c_804]) ).

tff(c_58332,plain,
    sum(sum(n12,n10),sum(pred('#skF_2'),n14)) != sum(n10,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_58308,c_58308,c_57717]) ).

tff(c_58333,plain,
    sum(n6,sum(pred('#skF_2'),n14)) != sum(n10,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_354,c_58332]) ).

tff(c_58527,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_434,c_482,c_58306,c_554,c_474,c_58306,c_58333]) ).

tff(c_58528,plain,
    ( ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_58257]) ).

tff(c_58530,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_58528]) ).

tff(c_58580,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_58530,c_808]) ).

tff(c_58578,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_58530,c_776]) ).

tff(c_58599,plain,
    sum(sum(n12,succ('#skF_2')),sum(n6,n14)) != sum(n10,sum(n6,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_58578,c_58578,c_57717]) ).

tff(c_58600,plain,
    sum(sum(n12,succ('#skF_2')),n4) != sum(n10,sum(n6,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_538,c_58599]) ).

tff(c_58798,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_410,c_550,c_58580,c_622,c_358,c_58580,c_58600]) ).

tff(c_58799,plain,
    n8 = '#skF_2',
    inference(splitRight,[status(thm)],[c_58528]) ).

tff(c_58849,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_58799,c_774]) ).

tff(c_58848,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_58799,c_806]) ).

tff(c_58873,plain,
    sum(sum(n12,n9),sum(pred('#skF_2'),n14)) != sum(n10,sum(pred('#skF_2'),n9)),
    inference(demodulation,[status(thm),theory(equality)],[c_58848,c_58848,c_57717]) ).

tff(c_58874,plain,
    sum(n5,sum(pred('#skF_2'),n14)) != sum(n10,sum(pred('#skF_2'),n9)),
    inference(demodulation,[status(thm),theory(equality)],[c_356,c_58873]) ).

tff(c_59068,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_438,c_516,c_58849,c_588,c_506,c_58849,c_58874]) ).

tff(c_59069,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_57179]) ).

tff(c_59337,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_59071,c_59069]) ).

tff(c_59338,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_59337]) ).

tff(c_59388,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_59338,c_816]) ).

tff(c_59387,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_59338,c_784]) ).

tff(c_59118,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_59071,c_780]) ).

tff(c_59117,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_59071,c_812]) ).

tff(c_59140,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n6)) != sum(sum(pred('#skF_1'),n6),sum(pred('#skF_2'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_59117,c_59117,c_242]) ).

tff(c_59596,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_486,c_622,c_59388,c_546,c_686,c_59388,c_59387,c_682,c_59387,c_59118,c_618,c_59118,c_59140]) ).

tff(c_59597,plain,
    ( ( n4 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_59337]) ).

tff(c_59599,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_59597]) ).

tff(c_59647,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_59599,c_798]) ).

tff(c_59648,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_59599,c_766]) ).

tff(c_59861,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_724,c_604,c_59647,c_482,c_380,c_59647,c_59648,c_394,c_59648,c_618,c_59118,c_59118,c_59140]) ).

tff(c_59862,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_59597]) ).

tff(c_59864,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_59862]) ).

tff(c_59113,plain,
    sum(n4,'#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_59071,c_620]) ).

tff(c_59870,plain,
    sum('#skF_1','#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_59864,c_59113]) ).

tff(c_59895,plain,
    sum('#skF_1',n6) = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_59864,c_618]) ).

tff(c_59872,plain,
    pred('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_59864,c_59118]) ).

tff(c_59120,plain,
    succ(n4) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_59071,c_814]) ).

tff(c_59871,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_59864,c_59120]) ).

tff(c_59087,plain,
    sum(n3,'#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_59071,c_652]) ).

tff(c_59913,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_59864,c_782]) ).

tff(c_60130,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_452,c_59870,c_482,c_59895,c_59872,c_59872,c_59871,c_59087,c_59871,c_650,c_59913,c_59913,c_59140]) ).

tff(c_60131,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_59862]) ).

tff(c_60133,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_60131]) ).

tff(c_60181,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_60133,c_800]) ).

tff(c_60182,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_60133,c_768]) ).

tff(c_60399,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_758,c_606,c_60181,c_546,c_414,c_60181,c_60182,c_426,c_60182,c_618,c_59118,c_59118,c_59140]) ).

tff(c_60400,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_60131]) ).

tff(c_60403,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_60400]) ).

tff(c_60452,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_60403,c_59117]) ).

tff(c_60451,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_60403,c_59118]) ).

tff(c_60402,plain,
    sum(sum(pred('#skF_1'),n6),sum(n4,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_618,c_59118,c_59118,c_59140]) ).

tff(c_60485,plain,
    sum(sum(n4,n6),sum(n4,succ('#skF_1'))) != sum(sum(n4,succ('#skF_1')),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_60451,c_60451,c_60402]) ).

tff(c_60486,plain,
    sum(sum(n4,succ('#skF_1')),n10) != sum(n10,sum(n4,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_618,c_60485]) ).

tff(c_60676,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_418,c_618,c_60452,c_418,c_618,c_60452,c_60486]) ).

tff(c_60677,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_60400]) ).

tff(c_60679,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_60677]) ).

tff(c_60703,plain,
    sum(n4,'#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_60679,c_610]) ).

tff(c_60728,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_60679,c_770]) ).

tff(c_60727,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_60679,c_802]) ).

tff(c_608,plain,
    sum(n4,n11) = n15,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_60680,plain,
    sum(sum(pred('#skF_1'),n6),sum(n4,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1'),
    inference(demodulation,[status(thm),theory(equality)],[c_60679,c_60402]) ).

tff(c_60946,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_60703,c_448,c_60728,c_248,c_458,c_60728,c_60727,c_608,c_60727,c_60680]) ).

tff(c_60947,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_60677]) ).

tff(c_60949,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_60947]) ).

tff(c_60968,plain,
    sum(n11,n11) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_60949,c_384]) ).

tff(c_586,plain,
    sum(n5,n6) = n11,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_59080,plain,
    sum('#skF_2',n6) = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_59071,c_586]) ).

tff(c_60953,plain,
    sum('#skF_2','#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_60949,c_59080]) ).

tff(c_60971,plain,
    sum(n12,n10) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_60949,c_354]) ).

tff(c_59119,plain,
    pred(n6) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_59071,c_778]) ).

tff(c_60957,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_60949,c_59119]) ).

tff(c_59078,plain,
    sum('#skF_2',n7) = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_59071,c_584]) ).

tff(c_60999,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_60949,c_810]) ).

tff(c_616,plain,
    sum(n4,n7) = n11,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_60950,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n4,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_60949,c_60402]) ).

tff(c_61216,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_60968,c_60953,c_60971,c_60957,c_59078,c_60957,c_60999,c_616,c_60999,c_60950]) ).

tff(c_61217,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_60947]) ).

tff(c_61219,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_61217]) ).

tff(c_61266,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_61219,c_772]) ).

tff(c_61268,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_61219,c_804]) ).

tff(c_61292,plain,
    sum(sum(pred('#skF_1'),n6),sum(n4,n10)) != sum(sum(pred('#skF_1'),n10),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_61268,c_61268,c_60402]) ).

tff(c_61293,plain,
    sum(sum(pred('#skF_1'),n6),n14) != sum(sum(pred('#skF_1'),n10),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_610,c_61292]) ).

tff(c_61487,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_674,c_482,c_61266,c_282,c_490,c_61266,c_61293]) ).

tff(c_61488,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_61217]) ).

tff(c_61490,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_61488]) ).

tff(c_61540,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_61490,c_808]) ).

tff(c_61538,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_61490,c_776]) ).

tff(c_61559,plain,
    sum(sum(n6,n6),sum(n4,succ('#skF_1'))) != sum(sum(n6,succ('#skF_1')),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_61538,c_61538,c_60402]) ).

tff(c_61560,plain,
    sum(sum(n6,succ('#skF_1')),n10) != sum(n12,sum(n4,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_554,c_61559]) ).

tff(c_61758,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_350,c_614,c_61540,c_290,c_550,c_61540,c_61560]) ).

tff(c_61759,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_61488]) ).

tff(c_61809,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_61759,c_774]) ).

tff(c_612,plain,
    sum(n4,n9) = n13,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_61808,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_61759,c_806]) ).

tff(c_61833,plain,
    sum(sum(pred('#skF_1'),n6),sum(n4,n9)) != sum(sum(pred('#skF_1'),n9),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_61808,c_61808,c_60402]) ).

tff(c_61834,plain,
    sum(sum(pred('#skF_1'),n9),n10) != sum(sum(pred('#skF_1'),n6),n13),
    inference(demodulation,[status(thm),theory(equality)],[c_612,c_61833]) ).

tff(c_62028,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_316,c_522,c_61809,c_738,c_516,c_61809,c_61834]) ).

tff(c_62029,plain,
    ( ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_55291]) ).

tff(c_62031,plain,
    n10 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_62029]) ).

tff(c_62041,plain,
    sum(n5,n5) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_62031,c_588]) ).

tff(c_62067,plain,
    sum(n13,n13) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_62031,c_316]) ).

tff(c_62297,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( '#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' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_62031,c_59069]) ).

tff(c_62298,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_62297]) ).

tff(c_62348,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_62298,c_816]) ).

tff(c_62032,plain,
    sum(n6,n4) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_62031,c_558]) ).

tff(c_62347,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_62298,c_784]) ).

tff(c_62078,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_62031,c_770]) ).

tff(c_62077,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_62031,c_802]) ).

tff(c_62100,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n11)) != sum(sum(pred('#skF_1'),n11),sum(pred('#skF_2'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_62077,c_62077,c_242]) ).

tff(c_62560,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_62067,c_462,c_62348,c_62032,c_686,c_62348,c_62347,c_672,c_62347,c_62078,c_448,c_62078,c_62100]) ).

tff(c_62561,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_62297]) ).

tff(c_62563,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_62561]) ).

tff(c_62594,plain,
    sum(n8,n4) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_62563,c_494]) ).

tff(c_62598,plain,
    sum(n6,n6) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_62563,c_554]) ).

tff(c_62611,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_62563,c_798]) ).

tff(c_62612,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_62563,c_766]) ).

tff(c_62825,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_62594,c_62598,c_444,c_62611,c_380,c_62611,c_62612,c_384,c_62612,c_448,c_62078,c_62078,c_62100]) ).

tff(c_62826,plain,
    ( ( n11 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_62561]) ).

tff(c_62828,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_62826]) ).

tff(c_62855,plain,
    sum(n8,'#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_62828,c_494]) ).

tff(c_62841,plain,
    sum(n9,n11) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_62828,c_448]) ).

tff(c_62876,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_62828,c_782]) ).

tff(c_62877,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_62828,c_814]) ).

tff(c_63094,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_62855,c_62841,c_282,c_640,c_62876,c_652,c_62876,c_460,c_62877,c_62877,c_62078,c_62078,c_62100]) ).

tff(c_63095,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_62826]) ).

tff(c_63097,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_63095]) ).

tff(c_62064,plain,
    sum('#skF_2',n11) = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_62031,c_416]) ).

tff(c_63103,plain,
    sum('#skF_2','#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_63097,c_62064]) ).

tff(c_63122,plain,
    sum(n9,'#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_63097,c_448]) ).

tff(c_62080,plain,
    pred(n11) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_62031,c_768]) ).

tff(c_63104,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_63097,c_62080]) ).

tff(c_62054,plain,
    sum('#skF_2',n12) = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_62031,c_414]) ).

tff(c_63146,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_63097,c_800]) ).

tff(c_63363,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_62041,c_63103,c_62032,c_63122,c_63104,c_62054,c_63104,c_446,c_63146,c_63146,c_63097,c_63097,c_62078,c_62078,c_62100]) ).

tff(c_63364,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_63095]) ).

tff(c_63367,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_63364]) ).

tff(c_63414,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_63367,c_812]) ).

tff(c_62072,plain,
    sum('#skF_2',n4) = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_62031,c_430]) ).

tff(c_62056,plain,
    sum(n4,n6) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_62031,c_618]) ).

tff(c_63415,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_63367,c_780]) ).

tff(c_63366,plain,
    sum(sum(pred('#skF_1'),n11),sum(n9,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_448,c_62078,c_62078,c_62100]) ).

tff(c_63436,plain,
    sum(sum(n4,n11),sum(n9,succ('#skF_1'))) != sum(sum(n4,succ('#skF_1')),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_63415,c_63415,c_63366]) ).

tff(c_63437,plain,
    sum(sum(n4,succ('#skF_1')),n4) != sum(n15,sum(n9,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_608,c_63436]) ).

tff(c_63635,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_248,c_458,c_63414,c_62072,c_62056,c_63414,c_63437]) ).

tff(c_63636,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_63364]) ).

tff(c_63638,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_63636]) ).

tff(c_63687,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_63638,c_62077]) ).

tff(c_63716,plain,
    sum(sum(pred('#skF_1'),n11),sum(n9,n11)) != sum(sum(pred('#skF_1'),n11),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_63687,c_63687,c_63366]) ).

tff(c_63719,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_448,c_63716]) ).

tff(c_63720,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_63636]) ).

tff(c_63722,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_63720]) ).

tff(c_63771,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_63722,c_810]) ).

tff(c_576,plain,
    sum(n5,n11) = n0,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_63770,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_63722,c_778]) ).

tff(c_63791,plain,
    sum(sum(n5,n11),sum(n9,succ('#skF_1'))) != sum(sum(n5,succ('#skF_1')),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_63770,c_63770,c_63366]) ).

tff(c_63792,plain,
    sum(sum(n5,succ('#skF_1')),n4) != sum(n0,sum(n9,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_576,c_63791]) ).

tff(c_63990,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_758,c_456,c_63771,c_366,c_584,c_63771,c_63792]) ).

tff(c_63991,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_63720]) ).

tff(c_63993,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_63991]) ).

tff(c_450,plain,
    sum(n9,n10) = n3,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_62075,plain,
    sum(n9,'#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_62031,c_450]) ).

tff(c_64000,plain,
    sum('#skF_1','#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_63993,c_62075]) ).

tff(c_62079,plain,
    succ(n9) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_62031,c_804]) ).

tff(c_64001,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_63993,c_62079]) ).

tff(c_62050,plain,
    sum(n8,'#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_62031,c_482]) ).

tff(c_64043,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_63993,c_772]) ).

tff(c_480,plain,
    sum(n8,n11) = n3,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_63994,plain,
    sum(sum(pred('#skF_1'),n11),sum('#skF_1',succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_63993,c_63366]) ).

tff(c_64260,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_656,c_64000,c_64001,c_686,c_62050,c_64001,c_64043,c_480,c_64043,c_63994]) ).

tff(c_64261,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_63991]) ).

tff(c_64263,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_64261]) ).

tff(c_64313,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_64263,c_808]) ).

tff(c_544,plain,
    sum(n6,n11) = n1,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_64311,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_64263,c_776]) ).

tff(c_64332,plain,
    sum(sum(n6,n11),sum(n9,succ('#skF_1'))) != sum(sum(n6,succ('#skF_1')),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_64311,c_64311,c_63366]) ).

tff(c_64333,plain,
    sum(sum(n6,succ('#skF_1')),n4) != sum(n1,sum(n9,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_544,c_64332]) ).

tff(c_64531,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_724,c_454,c_64313,c_302,c_550,c_64313,c_64333]) ).

tff(c_64532,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_64261]) ).

tff(c_64581,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_64532,c_806]) ).

tff(c_64582,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_64532,c_774]) ).

tff(c_64606,plain,
    sum(sum(n7,n11),sum(n9,succ('#skF_1'))) != sum(sum(n7,succ('#skF_1')),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_64582,c_64582,c_63366]) ).

tff(c_64607,plain,
    sum(sum(n7,succ('#skF_1')),n4) != sum(n2,sum(n9,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_512,c_64606]) ).

tff(c_64801,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_690,c_452,c_64581,c_750,c_516,c_64581,c_64607]) ).

tff(c_64802,plain,
    ( ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_62029]) ).

tff(c_64804,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_64802]) ).

tff(c_64813,plain,
    sum(n11,n11) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_64804,c_384]) ).

tff(c_65070,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_64804,c_59069]) ).

tff(c_65071,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_65070]) ).

tff(c_65121,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_65071,c_816]) ).

tff(c_64843,plain,
    sum('#skF_2',n12) = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_64804,c_542]) ).

tff(c_64821,plain,
    sum(n2,n4) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_64804,c_686]) ).

tff(c_65120,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_65071,c_784]) ).

tff(c_64852,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_64804,c_810]) ).

tff(c_64851,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_64804,c_778]) ).

tff(c_64873,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n5,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n5,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_64851,c_64851,c_242]) ).

tff(c_65329,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_452,c_590,c_65121,c_64843,c_64821,c_65121,c_65120,c_680,c_65120,c_584,c_64852,c_64852,c_64873]) ).

tff(c_65330,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_65070]) ).

tff(c_65332,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_65330]) ).

tff(c_65377,plain,
    sum(n8,'#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_65332,c_478]) ).

tff(c_65348,plain,
    sum(n5,n7) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_65332,c_584]) ).

tff(c_65380,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_65332,c_798]) ).

tff(c_65381,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_65332,c_766]) ).

tff(c_65594,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_65377,c_65348,c_690,c_572,c_65380,c_380,c_65380,c_392,c_65381,c_65381,c_64852,c_64852,c_64873]) ).

tff(c_65595,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_65330]) ).

tff(c_65597,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_65595]) ).

tff(c_65625,plain,
    sum(n10,n10) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_65597,c_418]) ).

tff(c_65640,plain,
    sum(n8,n12) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_65597,c_478]) ).

tff(c_65645,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_65597,c_782]) ).

tff(c_65646,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_65597,c_814]) ).

tff(c_65863,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_65625,c_65640,c_652,c_65645,c_648,c_65645,c_65646,c_588,c_65646,c_584,c_64852,c_64852,c_64873]) ).

tff(c_65864,plain,
    ( ( n5 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_65595]) ).

tff(c_65866,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_65864]) ).

tff(c_65914,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_65866,c_800]) ).

tff(c_64825,plain,
    sum(n10,n12) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_64804,c_414]) ).

tff(c_65915,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_65866,c_768]) ).

tff(c_66132,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_724,c_574,c_65914,c_64843,c_64825,c_65914,c_65915,c_424,c_65915,c_584,c_64852,c_64852,c_64873]) ).

tff(c_66133,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_65864]) ).

tff(c_66136,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_66133]) ).

tff(c_64814,plain,
    sum(n5,'#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_64804,c_586]) ).

tff(c_66141,plain,
    sum('#skF_1','#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_66136,c_64814]) ).

tff(c_64850,plain,
    succ(n5) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_64804,c_812]) ).

tff(c_66144,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_66136,c_64850]) ).

tff(c_64828,plain,
    sum(n4,'#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_64804,c_618]) ).

tff(c_66186,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_66136,c_780]) ).

tff(c_66135,plain,
    sum(sum(pred('#skF_1'),n7),sum(n5,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_584,c_64852,c_64852,c_64873]) ).

tff(c_66137,plain,
    sum(sum(pred('#skF_1'),n7),sum('#skF_1',succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_66136,c_66135]) ).

tff(c_66403,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_64813,c_66141,c_66144,c_64825,c_64828,c_66144,c_66186,c_616,c_66186,c_66137]) ).

tff(c_66404,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_66133]) ).

tff(c_66406,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_66404]) ).

tff(c_66454,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_66406,c_770]) ).

tff(c_66453,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_66406,c_802]) ).

tff(c_66475,plain,
    sum(sum(pred('#skF_1'),n7),sum(n5,n11)) != sum(sum(pred('#skF_1'),n11),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_66453,c_66453,c_66135]) ).

tff(c_66476,plain,
    sum(sum(pred('#skF_1'),n7),n0) != sum(sum(pred('#skF_1'),n11),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_576,c_66475]) ).

tff(c_66674,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_606,c_448,c_66454,c_758,c_456,c_66454,c_66476]) ).

tff(c_66675,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_66404]) ).

tff(c_66677,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_66675]) ).

tff(c_66723,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_66677,c_64852]) ).

tff(c_66751,plain,
    sum(sum(pred('#skF_1'),n7),sum(n5,n7)) != sum(sum(pred('#skF_1'),n7),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_66723,c_66723,c_66135]) ).

tff(c_66754,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_584,c_66751]) ).

tff(c_66755,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_66675]) ).

tff(c_66757,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_66755]) ).

tff(c_66806,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_66757,c_804]) ).

tff(c_66804,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_66757,c_772]) ).

tff(c_66830,plain,
    sum(sum(n8,n7),sum(n5,succ('#skF_1'))) != sum(sum(n8,succ('#skF_1')),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_66804,c_66804,c_66135]) ).

tff(c_66831,plain,
    sum(sum(n8,succ('#skF_1')),n12) != sum(n15,sum(n5,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_488,c_66830]) ).

tff(c_67025,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_248,c_578,c_66806,c_670,c_482,c_66806,c_66831]) ).

tff(c_67026,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_66755]) ).

tff(c_67028,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_67026]) ).

tff(c_552,plain,
    sum(n6,n7) = n13,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_64846,plain,
    sum('#skF_2',n7) = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_64804,c_552]) ).

tff(c_67035,plain,
    sum('#skF_2','#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_67028,c_64846]) ).

tff(c_64853,plain,
    pred(n7) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_64804,c_776]) ).

tff(c_67037,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_67028,c_64853]) ).

tff(c_64849,plain,
    sum('#skF_2',n8) = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_64804,c_550]) ).

tff(c_67079,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_67028,c_808]) ).

tff(c_582,plain,
    sum(n5,n8) = n13,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_67029,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n5,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_67028,c_66135]) ).

tff(c_67295,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_316,c_67035,c_67037,c_286,c_64849,c_67037,c_67079,c_582,c_67079,c_67029]) ).

tff(c_67296,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_67026]) ).

tff(c_67345,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_67296,c_806]) ).

tff(c_67346,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_67296,c_774]) ).

tff(c_67374,plain,
    sum(sum(n7,n7),sum(n5,succ('#skF_1'))) != sum(sum(n7,succ('#skF_1')),n12),
    inference(demodulation,[status(thm),theory(equality)],[c_67346,c_67346,c_66135]) ).

tff(c_67375,plain,
    sum(sum(n7,succ('#skF_1')),n12) != sum(n14,sum(n5,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_67374]) ).

tff(c_67565,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_282,c_580,c_67345,c_734,c_516,c_67345,c_67375]) ).

tff(c_67566,plain,
    ( ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_64802]) ).

tff(c_67568,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_67566]) ).

tff(c_67835,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( 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' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_67568,c_59069]) ).

tff(c_67836,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_67835]) ).

tff(c_67886,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_67836,c_816]) ).

tff(c_67885,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_67836,c_784]) ).

tff(c_67614,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_67568,c_772]) ).

tff(c_67616,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_67568,c_804]) ).

tff(c_67645,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n10)) != sum(sum(pred('#skF_1'),n10),sum(pred('#skF_2'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_67616,c_67616,c_242]) ).

tff(c_67834,plain,
    sum(sum(pred('#skF_1'),n10),sum(n8,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_67614,c_482,c_67614,c_67645]) ).

tff(c_67909,plain,
    sum(sum(n2,n10),sum(n8,succ('#skF_1'))) != sum(sum(n2,succ('#skF_1')),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_67885,c_67885,c_67834]) ).

tff(c_67910,plain,
    sum(sum(n2,succ('#skF_1')),n2) != sum(n12,sum(n8,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_674,c_67909]) ).

tff(c_68104,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_350,c_494,c_67886,c_562,c_686,c_67886,c_67910]) ).

tff(c_68105,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_67835]) ).

tff(c_68107,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_68105]) ).

tff(c_68155,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_68107,c_798]) ).

tff(c_68156,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_68107,c_766]) ).

tff(c_68180,plain,
    sum(sum(n11,n10),sum(n8,succ('#skF_1'))) != sum(sum(n11,succ('#skF_1')),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_68156,c_68156,c_67834]) ).

tff(c_68181,plain,
    sum(sum(n11,succ('#skF_1')),n2) != sum(n5,sum(n8,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_386,c_68180]) ).

tff(c_68375,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_588,c_476,c_68155,c_498,c_380,c_68155,c_68181]) ).

tff(c_68376,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_68105]) ).

tff(c_68378,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_68376]) ).

tff(c_68426,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_68378,c_782]) ).

tff(c_68427,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_68378,c_814]) ).

tff(c_68451,plain,
    sum(sum(pred('#skF_1'),n10),sum(n8,n5)) != sum(sum(pred('#skF_1'),n5),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_68427,c_68427,c_67834]) ).

tff(c_68452,plain,
    sum(sum(pred('#skF_1'),n5),n2) != sum(sum(pred('#skF_1'),n10),n13),
    inference(demodulation,[status(thm),theory(equality)],[c_492,c_68451]) ).

tff(c_68646,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_316,c_642,c_68426,c_498,c_652,c_68426,c_68452]) ).

tff(c_68647,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_68376]) ).

tff(c_68649,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_68647]) ).

tff(c_68697,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_68649,c_800]) ).

tff(c_68698,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_68649,c_768]) ).

tff(c_68722,plain,
    sum(sum(n10,n10),sum(n8,succ('#skF_1'))) != sum(sum(n10,succ('#skF_1')),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_68698,c_68698,c_67834]) ).

tff(c_68723,plain,
    sum(sum(n10,succ('#skF_1')),n2) != sum(n4,sum(n8,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_418,c_68722]) ).

tff(c_68917,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_622,c_478,c_68697,c_562,c_414,c_68697,c_68723]) ).

tff(c_68918,plain,
    ( ( n10 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_68647]) ).

tff(c_68920,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_68918]) ).

tff(c_68967,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_68920,c_812]) ).

tff(c_68968,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_68920,c_780]) ).

tff(c_68989,plain,
    sum(sum(n4,n10),sum(n8,succ('#skF_1'))) != sum(sum(n4,succ('#skF_1')),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_68968,c_68968,c_67834]) ).

tff(c_68990,plain,
    sum(sum(n4,succ('#skF_1')),n2) != sum(n14,sum(n8,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_610,c_68989]) ).

tff(c_69188,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_282,c_490,c_68967,c_434,c_618,c_68967,c_68990]) ).

tff(c_69189,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_68918]) ).

tff(c_69191,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_69189]) ).

tff(c_67613,plain,
    sum('#skF_2',n10) = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_67568,c_450]) ).

tff(c_69198,plain,
    sum('#skF_2','#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_69191,c_67613]) ).

tff(c_67615,plain,
    pred(n10) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_67568,c_770]) ).

tff(c_69200,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_69191,c_67615]) ).

tff(c_67576,plain,
    sum('#skF_2',n11) = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_67568,c_448]) ).

tff(c_69241,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_69191,c_802]) ).

tff(c_69192,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n8,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_69191,c_67834]) ).

tff(c_69458,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_656,c_69198,c_69200,c_626,c_67576,c_69200,c_69241,c_480,c_69241,c_69192]) ).

tff(c_69459,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_69189]) ).

tff(c_69461,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_69459]) ).

tff(c_69510,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_69461,c_810]) ).

tff(c_69509,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_69461,c_778]) ).

tff(c_69530,plain,
    sum(sum(n5,n10),sum(n8,succ('#skF_1'))) != sum(sum(n5,succ('#skF_1')),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_69509,c_69509,c_67834]) ).

tff(c_69531,plain,
    sum(sum(n5,succ('#skF_1')),n2) != sum(n15,sum(n8,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_578,c_69530]) ).

tff(c_69729,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_248,c_488,c_69510,c_370,c_584,c_69510,c_69531]) ).

tff(c_69730,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_69459]) ).

tff(c_69732,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_69730]) ).

tff(c_69779,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_69732,c_67616]) ).

tff(c_69778,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_69732,c_67614]) ).

tff(c_69806,plain,
    sum(sum(n8,n10),sum(n8,succ('#skF_1'))) != sum(sum(n8,succ('#skF_1')),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_69778,c_69778,c_67834]) ).

tff(c_69807,plain,
    sum(sum(n8,succ('#skF_1')),n2) != sum(n2,sum(n8,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_482,c_69806]) ).

tff(c_70005,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_690,c_482,c_69779,c_690,c_482,c_69779,c_69807]) ).

tff(c_70006,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_69730]) ).

tff(c_70008,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_70006]) ).

tff(c_70058,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_70008,c_808]) ).

tff(c_70056,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_70008,c_776]) ).

tff(c_70077,plain,
    sum(sum(n6,n10),sum(n8,succ('#skF_1'))) != sum(sum(n6,succ('#skF_1')),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_70056,c_70056,c_67834]) ).

tff(c_70078,plain,
    sum(sum(n6,succ('#skF_1')),n2) != sum(n0,sum(n8,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_546,c_70077]) ).

tff(c_70276,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_758,c_486,c_70058,c_306,c_550,c_70058,c_70078]) ).

tff(c_70277,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_70006]) ).

tff(c_484,plain,
    sum(n8,n9) = n1,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_67611,plain,
    sum(n8,'#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_67568,c_484]) ).

tff(c_70285,plain,
    sum('#skF_1','#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_70277,c_67611]) ).

tff(c_67617,plain,
    succ(n8) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_67568,c_806]) ).

tff(c_70287,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_70277,c_67617]) ).

tff(c_67609,plain,
    sum(n7,'#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_67568,c_516]) ).

tff(c_70328,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_70277,c_774]) ).

tff(c_514,plain,
    sum(n7,n10) = n1,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_70279,plain,
    sum(sum(pred('#skF_1'),n10),sum('#skF_1',succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_70277,c_67834]) ).

tff(c_70545,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_724,c_70285,c_70287,c_754,c_67609,c_70287,c_70328,c_514,c_70328,c_70279]) ).

tff(c_70546,plain,
    ( ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_67566]) ).

tff(c_70548,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_70546]) ).

tff(c_70814,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_70548,c_59069]) ).

tff(c_70815,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_70814]) ).

tff(c_70866,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_70815,c_816]) ).

tff(c_70865,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_70815,c_784]) ).

tff(c_70595,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_70548,c_776]) ).

tff(c_70597,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_70548,c_808]) ).

tff(c_70621,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n8)) != sum(sum(pred('#skF_1'),n8),sum(pred('#skF_2'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_70597,c_70597,c_242]) ).

tff(c_70816,plain,
    sum(sum(pred('#skF_1'),n8),sum(n6,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_70595,c_550,c_70595,c_70621]) ).

tff(c_70889,plain,
    sum(sum(n2,n8),sum(n6,succ('#skF_1'))) != sum(sum(n2,succ('#skF_1')),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_70865,c_70865,c_70816]) ).

tff(c_70890,plain,
    sum(sum(n2,succ('#skF_1')),n14) != sum(n10,sum(n6,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_678,c_70889]) ).

tff(c_71084,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_418,c_558,c_70866,c_538,c_686,c_70866,c_70890]) ).

tff(c_71085,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_70814]) ).

tff(c_71087,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_71085]) ).

tff(c_71135,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_71087,c_798]) ).

tff(c_71136,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_71087,c_766]) ).

tff(c_71349,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_656,c_540,c_71135,c_474,c_380,c_71135,c_71136,c_390,c_71136,c_550,c_70595,c_70595,c_70621]) ).

tff(c_71350,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_71085]) ).

tff(c_71352,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_71350]) ).

tff(c_71400,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_71352,c_782]) ).

tff(c_71401,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_71352,c_814]) ).

tff(c_71618,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_474,c_652,c_71400,c_384,c_646,c_71400,c_71401,c_556,c_71401,c_550,c_70595,c_70595,c_70621]) ).

tff(c_71619,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_71350]) ).

tff(c_71621,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_71619]) ).

tff(c_71669,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_71621,c_800]) ).

tff(c_71670,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_71621,c_768]) ).

tff(c_71887,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_690,c_542,c_71669,c_538,c_414,c_71669,c_71670,c_422,c_71670,c_550,c_70595,c_70595,c_70621]) ).

tff(c_71888,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_71619]) ).

tff(c_71891,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_71888]) ).

tff(c_71938,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_71891,c_812]) ).

tff(c_71939,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_71891,c_780]) ).

tff(c_71890,plain,
    sum(sum(pred('#skF_1'),n8),sum(n6,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_550,c_70595,c_70595,c_70621]) ).

tff(c_71960,plain,
    sum(sum(n4,n8),sum(n6,succ('#skF_1'))) != sum(sum(n4,succ('#skF_1')),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_71939,c_71939,c_71890]) ).

tff(c_71961,plain,
    sum(sum(n4,succ('#skF_1')),n14) != sum(n12,sum(n6,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_614,c_71960]) ).

tff(c_72159,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_350,c_554,c_71938,c_410,c_618,c_71938,c_71961]) ).

tff(c_72160,plain,
    ( ( n6 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_71888]) ).

tff(c_72162,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_72160]) ).

tff(c_72210,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_72162,c_770]) ).

tff(c_72209,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_72162,c_802]) ).

tff(c_72231,plain,
    sum(sum(pred('#skF_1'),n8),sum(n6,n11)) != sum(sum(pred('#skF_1'),n11),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_72209,c_72209,c_71890]) ).

tff(c_72232,plain,
    sum(sum(pred('#skF_1'),n8),n1) != sum(sum(pred('#skF_1'),n11),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_544,c_72231]) ).

tff(c_72430,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_602,c_448,c_72210,c_724,c_454,c_72210,c_72232]) ).

tff(c_72431,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_72160]) ).

tff(c_72433,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_72431]) ).

tff(c_70588,plain,
    sum(n6,'#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_70548,c_552]) ).

tff(c_72439,plain,
    sum('#skF_1','#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_72433,c_70588]) ).

tff(c_70594,plain,
    succ(n6) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_70548,c_810]) ).

tff(c_72442,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_72433,c_70594]) ).

tff(c_70556,plain,
    sum(n5,'#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_70548,c_584]) ).

tff(c_72484,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_72433,c_778]) ).

tff(c_72434,plain,
    sum(sum(pred('#skF_1'),n8),sum('#skF_1',succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_72433,c_71890]) ).

tff(c_72700,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_316,c_72439,c_72442,c_346,c_70556,c_72442,c_72484,c_582,c_72484,c_72434]) ).

tff(c_72701,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_72431]) ).

tff(c_72703,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_72701]) ).

tff(c_72750,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_72703,c_772]) ).

tff(c_72752,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_72703,c_804]) ).

tff(c_72776,plain,
    sum(sum(pred('#skF_1'),n8),sum(n6,n10)) != sum(sum(pred('#skF_1'),n10),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_72752,c_72752,c_71890]) ).

tff(c_72777,plain,
    sum(sum(pred('#skF_1'),n8),n0) != sum(sum(pred('#skF_1'),n10),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_546,c_72776]) ).

tff(c_72971,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_666,c_482,c_72750,c_758,c_486,c_72750,c_72777]) ).

tff(c_72972,plain,
    ( ( n8 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_72701]) ).

tff(c_72974,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_72972]) ).

tff(c_73022,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_72974,c_70597]) ).

tff(c_73052,plain,
    sum(sum(pred('#skF_1'),n8),sum(n6,n8)) != sum(sum(pred('#skF_1'),n8),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_73022,c_73022,c_71890]) ).

tff(c_73055,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_550,c_73052]) ).

tff(c_73056,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_72972]) ).

tff(c_518,plain,
    sum(n7,n8) = n15,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_70569,plain,
    sum('#skF_2',n8) = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_70548,c_518]) ).

tff(c_73060,plain,
    sum('#skF_2','#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_73056,c_70569]) ).

tff(c_70596,plain,
    pred(n8) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_70548,c_774]) ).

tff(c_73065,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_73056,c_70596]) ).

tff(c_70592,plain,
    sum('#skF_2',n9) = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_70548,c_516]) ).

tff(c_73108,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_73056,c_806]) ).

tff(c_548,plain,
    sum(n6,n9) = n15,
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_73058,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n6,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_73056,c_71890]) ).

tff(c_73324,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_248,c_73060,c_73065,c_730,c_70592,c_73065,c_73108,c_548,c_73108,c_73058]) ).

tff(c_73325,plain,
    n8 = '#skF_2',
    inference(splitRight,[status(thm)],[c_70546]) ).

tff(c_73348,plain,
    sum('#skF_2',n0) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_73325,c_73325,c_502]) ).

tff(c_73344,plain,
    sum(n3,n5) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_73325,c_652]) ).

tff(c_73333,plain,
    sum(n4,n4) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_73325,c_622]) ).

tff(c_73592,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( 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' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_73325,c_59069]) ).

tff(c_73593,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_73592]) ).

tff(c_73644,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_73593,c_816]) ).

tff(c_73643,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_73593,c_784]) ).

tff(c_73374,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_73325,c_774]) ).

tff(c_73373,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_73325,c_806]) ).

tff(c_73399,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n9)) != sum(sum(pred('#skF_1'),n9),sum(pred('#skF_2'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_73373,c_73373,c_242]) ).

tff(c_73594,plain,
    sum(sum(pred('#skF_1'),n9),sum(n7,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n0),
    inference(demodulation,[status(thm),theory(equality)],[c_73374,c_516,c_73374,c_73399]) ).

tff(c_73667,plain,
    sum(sum(n2,n9),sum(n7,succ('#skF_1'))) != sum(sum(n2,succ('#skF_1')),n0),
    inference(demodulation,[status(thm),theory(equality)],[c_73643,c_73643,c_73594]) ).

tff(c_73668,plain,
    sum(sum(n2,succ('#skF_1')),n0) != sum(n11,sum(n7,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_676,c_73667]) ).

tff(c_73862,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_384,c_526,c_73644,c_566,c_686,c_73644,c_73668]) ).

tff(c_73863,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_73592]) ).

tff(c_73865,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_73863]) ).

tff(c_73913,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_73865,c_798]) ).

tff(c_73327,plain,
    sum(n11,n13) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_73325,c_380]) ).

tff(c_73914,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_73865,c_766]) ).

tff(c_74131,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_73333,c_508,c_73913,c_73348,c_73327,c_73913,c_73914,c_388,c_73914,c_516,c_73374,c_73374,c_73399]) ).

tff(c_74132,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_73863]) ).

tff(c_74134,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_74132]) ).

tff(c_74182,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_74134,c_782]) ).

tff(c_73363,plain,
    sum(n12,n12) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_73325,c_350]) ).

tff(c_74183,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_74134,c_814]) ).

tff(c_74400,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_73348,c_73344,c_74182,c_73363,c_644,c_74182,c_74183,c_524,c_74183,c_516,c_73374,c_73374,c_73399]) ).

tff(c_74401,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_74132]) ).

tff(c_74403,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_74401]) ).

tff(c_74451,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_74403,c_800]) ).

tff(c_74452,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_74403,c_768]) ).

tff(c_74669,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_656,c_510,c_74451,c_566,c_414,c_74451,c_74452,c_420,c_74452,c_516,c_73374,c_73374,c_73399]) ).

tff(c_74670,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_74401]) ).

tff(c_74672,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_74670]) ).

tff(c_74720,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_74672,c_780]) ).

tff(c_74719,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_74672,c_812]) ).

tff(c_74938,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_438,c_618,c_74720,c_316,c_612,c_74720,c_74719,c_522,c_74719,c_516,c_73374,c_73374,c_73399]) ).

tff(c_74939,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_74670]) ).

tff(c_74942,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_74939]) ).

tff(c_74989,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_74942,c_802]) ).

tff(c_74990,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_74942,c_770]) ).

tff(c_74941,plain,
    sum(sum(pred('#skF_1'),n9),sum(n7,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n0),
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_73374,c_73374,c_73399]) ).

tff(c_75011,plain,
    sum(sum(n9,n9),sum(n7,succ('#skF_1'))) != sum(sum(n9,succ('#skF_1')),n0),
    inference(demodulation,[status(thm),theory(equality)],[c_74990,c_74990,c_74941]) ).

tff(c_75012,plain,
    sum(sum(n9,succ('#skF_1')),n0) != sum(n2,sum(n7,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_452,c_75011]) ).

tff(c_75210,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_690,c_512,c_74989,c_630,c_448,c_74989,c_75012]) ).

tff(c_75211,plain,
    ( ( n9 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_74939]) ).

tff(c_75213,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_75211]) ).

tff(c_75262,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_75213,c_810]) ).

tff(c_75261,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_75213,c_778]) ).

tff(c_75282,plain,
    sum(sum(n5,n9),sum(n7,succ('#skF_1'))) != sum(sum(n5,succ('#skF_1')),n0),
    inference(demodulation,[status(thm),theory(equality)],[c_75261,c_75261,c_74941]) ).

tff(c_75283,plain,
    sum(sum(n5,succ('#skF_1')),n0) != sum(n14,sum(n7,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_580,c_75282]) ).

tff(c_75481,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_282,c_520,c_75262,c_374,c_584,c_75262,c_75283]) ).

tff(c_75482,plain,
    ( ( n7 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_75211]) ).

tff(c_75484,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_75482]) ).

tff(c_73370,plain,
    sum('#skF_2',n9) = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_73325,c_484]) ).

tff(c_75491,plain,
    sum('#skF_2','#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_75484,c_73370]) ).

tff(c_73372,plain,
    pred(n9) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_73325,c_772]) ).

tff(c_75493,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_75484,c_73372]) ).

tff(c_73347,plain,
    sum('#skF_2',n10) = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_73325,c_482]) ).

tff(c_75535,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_75484,c_804]) ).

tff(c_75485,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n7,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n0),
    inference(demodulation,[status(thm),theory(equality)],[c_75484,c_74941]) ).

tff(c_75751,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_724,c_75491,c_75493,c_694,c_73347,c_75493,c_75535,c_514,c_75535,c_75485]) ).

tff(c_75752,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_75482]) ).

tff(c_75754,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_75752]) ).

tff(c_73355,plain,
    sum(n7,'#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_73325,c_518]) ).

tff(c_75758,plain,
    sum('#skF_1','#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_75754,c_73355]) ).

tff(c_73371,plain,
    sum(n6,'#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_73325,c_550]) ).

tff(c_75805,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_75754,c_776]) ).

tff(c_73375,plain,
    succ(n7) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_73325,c_808]) ).

tff(c_75763,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_75754,c_73375]) ).

tff(c_75755,plain,
    sum(sum(pred('#skF_1'),n9),sum('#skF_1',succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n0),
    inference(demodulation,[status(thm),theory(equality)],[c_75754,c_74941]) ).

tff(c_76021,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_248,c_75758,c_310,c_73371,c_75805,c_548,c_75805,c_75763,c_75763,c_75755]) ).

tff(c_76022,plain,
    '#skF_2' = '#skF_1',
    inference(splitRight,[status(thm)],[c_75752]) ).

tff(c_76071,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_76022,c_73373]) ).

tff(c_76069,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_76022,c_73374]) ).

tff(c_76097,plain,
    sum(sum(n7,n9),sum(n7,succ('#skF_1'))) != sum(sum(n7,succ('#skF_1')),n0),
    inference(demodulation,[status(thm),theory(equality)],[c_76069,c_76069,c_74941]) ).

tff(c_76098,plain,
    sum(sum(n7,succ('#skF_1')),n0) != sum(n0,sum(n7,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_76097]) ).

tff(c_76296,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_758,c_516,c_76071,c_758,c_516,c_76071,c_76098]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM376+1.015 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug  3 15:29:23 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 63.91/48.35  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 64.46/48.86  
% 64.46/48.86  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 65.22/48.99  
% 65.22/48.99  Inference rules
% 65.22/48.99  ----------------------
% 65.22/48.99  #Ref     : 0
% 65.22/48.99  #Sup     : 27960
% 65.22/48.99  #Fact    : 0
% 65.22/48.99  #Define  : 0
% 65.22/48.99  #Split   : 255
% 65.22/48.99  #Chain   : 0
% 65.22/48.99  #Close   : 0
% 65.22/48.99  
% 65.22/48.99  Ordering : KBO
% 65.22/48.99  
% 65.22/48.99  Simplification rules
% 65.22/48.99  ----------------------
% 65.22/48.99  #Subsume      : 2509
% 65.22/48.99  #Demod        : 21213
% 65.22/48.99  #Tautology    : 27960
% 65.22/48.99  #SimpNegUnit  : 0
% 65.22/48.99  #BackRed      : 18066
% 65.22/48.99  
% 65.22/48.99  #Partial instantiations: 0
% 65.22/48.99  #Strategies tried      : 1
% 65.22/48.99  
% 65.22/48.99  Timing (in seconds)
% 65.22/48.99  ----------------------
% 65.22/48.99  Preprocessing        : 0.76
% 65.22/48.99  Parsing              : 0.38
% 65.22/48.99  CNF conversion       : 0.05
% 65.22/48.99  Main loop            : 46.55
% 65.22/48.99  Inferencing          : 14.07
% 65.22/48.99  Reduction            : 20.06
% 65.22/48.99  Demodulation         : 14.84
% 65.22/48.99  BG Simplification    : 0.12
% 65.22/48.99  Subsumption          : 9.62
% 65.22/48.99  Abstraction          : 0.29
% 65.22/48.99  MUC search           : 0.00
% 65.22/48.99  Cooper               : 0.00
% 65.22/48.99  Total                : 47.96
% 65.22/48.99  Index Insertion      : 0.00
% 65.22/48.99  Index Deletion       : 0.00
% 65.22/48.99  Index Matching       : 0.00
% 65.22/48.99  BG Taut test         : 0.00
%------------------------------------------------------------------------------