TSTP Solution File: NUM376+1.020 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : NUM376+1.020 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n023.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 10:51:21 EDT 2023

% Result   : Unsatisfiable 184.74s 167.67s
% Output   : CNFRefutation 187.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :   27
% Syntax   : Number of formulae    : 4017 (3553 unt;  26 typ;   0 def)
%            Number of atoms       : 8850 (8409 equ)
%            Maximal formula atoms :  736 (   2 avg)
%            Number of connectives : 5879 (1020   ~;4164   |; 695   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  699 (   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    :   26 (  26 usr;  23 con; 0-2 aty)
%            Number of variables   :    2 (;   0   !;   2   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ sum > #nlpp > succ > pred > n9 > n8 > n7 > n6 > n5 > n4 > n3 > n20 > n2 > n19 > n18 > n17 > n16 > n15 > n14 > n13 > n12 > n11 > n10 > n1 > n0 > #skF_2 > #skF_1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(n16,type,
    n16: $i ).

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(n17,type,
    n17: $i ).

tff(n20,type,
    n20: $i ).

tff(n18,type,
    n18: $i ).

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

tff(n19,type,
    n19: $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_1709,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) = n16 )
      & ( succ(n16) = n17 )
      & ( succ(n17) = n18 )
      & ( succ(n18) = n19 )
      & ( succ(n19) = n20 )
      & ( succ(n20) = n0 )
      & ( pred(n0) = n20 )
      & ( 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 )
      & ( pred(n16) = n15 )
      & ( pred(n17) = n16 )
      & ( pred(n18) = n17 )
      & ( pred(n19) = n18 )
      & ( pred(n20) = n19 )
      & ( 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(n0,n16) = n16 )
      & ( sum(n0,n17) = n17 )
      & ( sum(n0,n18) = n18 )
      & ( sum(n0,n19) = n19 )
      & ( sum(n0,n20) = n20 )
      & ( 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) = n16 )
      & ( sum(n1,n16) = n17 )
      & ( sum(n1,n17) = n18 )
      & ( sum(n1,n18) = n19 )
      & ( sum(n1,n19) = n20 )
      & ( sum(n1,n20) = 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) = n16 )
      & ( sum(n2,n15) = n17 )
      & ( sum(n2,n16) = n18 )
      & ( sum(n2,n17) = n19 )
      & ( sum(n2,n18) = n20 )
      & ( sum(n2,n19) = n0 )
      & ( sum(n2,n20) = 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) = n16 )
      & ( sum(n3,n14) = n17 )
      & ( sum(n3,n15) = n18 )
      & ( sum(n3,n16) = n19 )
      & ( sum(n3,n17) = n20 )
      & ( sum(n3,n18) = n0 )
      & ( sum(n3,n19) = n1 )
      & ( sum(n3,n20) = 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) = n16 )
      & ( sum(n4,n13) = n17 )
      & ( sum(n4,n14) = n18 )
      & ( sum(n4,n15) = n19 )
      & ( sum(n4,n16) = n20 )
      & ( sum(n4,n17) = n0 )
      & ( sum(n4,n18) = n1 )
      & ( sum(n4,n19) = n2 )
      & ( sum(n4,n20) = 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) = n16 )
      & ( sum(n5,n12) = n17 )
      & ( sum(n5,n13) = n18 )
      & ( sum(n5,n14) = n19 )
      & ( sum(n5,n15) = n20 )
      & ( sum(n5,n16) = n0 )
      & ( sum(n5,n17) = n1 )
      & ( sum(n5,n18) = n2 )
      & ( sum(n5,n19) = n3 )
      & ( sum(n5,n20) = 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) = n16 )
      & ( sum(n6,n11) = n17 )
      & ( sum(n6,n12) = n18 )
      & ( sum(n6,n13) = n19 )
      & ( sum(n6,n14) = n20 )
      & ( sum(n6,n15) = n0 )
      & ( sum(n6,n16) = n1 )
      & ( sum(n6,n17) = n2 )
      & ( sum(n6,n18) = n3 )
      & ( sum(n6,n19) = n4 )
      & ( sum(n6,n20) = 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) = n16 )
      & ( sum(n7,n10) = n17 )
      & ( sum(n7,n11) = n18 )
      & ( sum(n7,n12) = n19 )
      & ( sum(n7,n13) = n20 )
      & ( sum(n7,n14) = n0 )
      & ( sum(n7,n15) = n1 )
      & ( sum(n7,n16) = n2 )
      & ( sum(n7,n17) = n3 )
      & ( sum(n7,n18) = n4 )
      & ( sum(n7,n19) = n5 )
      & ( sum(n7,n20) = 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) = n16 )
      & ( sum(n8,n9) = n17 )
      & ( sum(n8,n10) = n18 )
      & ( sum(n8,n11) = n19 )
      & ( sum(n8,n12) = n20 )
      & ( sum(n8,n13) = n0 )
      & ( sum(n8,n14) = n1 )
      & ( sum(n8,n15) = n2 )
      & ( sum(n8,n16) = n3 )
      & ( sum(n8,n17) = n4 )
      & ( sum(n8,n18) = n5 )
      & ( sum(n8,n19) = n6 )
      & ( sum(n8,n20) = 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) = n16 )
      & ( sum(n9,n8) = n17 )
      & ( sum(n9,n9) = n18 )
      & ( sum(n9,n10) = n19 )
      & ( sum(n9,n11) = n20 )
      & ( sum(n9,n12) = n0 )
      & ( sum(n9,n13) = n1 )
      & ( sum(n9,n14) = n2 )
      & ( sum(n9,n15) = n3 )
      & ( sum(n9,n16) = n4 )
      & ( sum(n9,n17) = n5 )
      & ( sum(n9,n18) = n6 )
      & ( sum(n9,n19) = n7 )
      & ( sum(n9,n20) = 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) = n16 )
      & ( sum(n10,n7) = n17 )
      & ( sum(n10,n8) = n18 )
      & ( sum(n10,n9) = n19 )
      & ( sum(n10,n10) = n20 )
      & ( sum(n10,n11) = n0 )
      & ( sum(n10,n12) = n1 )
      & ( sum(n10,n13) = n2 )
      & ( sum(n10,n14) = n3 )
      & ( sum(n10,n15) = n4 )
      & ( sum(n10,n16) = n5 )
      & ( sum(n10,n17) = n6 )
      & ( sum(n10,n18) = n7 )
      & ( sum(n10,n19) = n8 )
      & ( sum(n10,n20) = n9 )
      & ( sum(n11,n0) = n11 )
      & ( sum(n11,n1) = n12 )
      & ( sum(n11,n2) = n13 )
      & ( sum(n11,n3) = n14 )
      & ( sum(n11,n4) = n15 )
      & ( sum(n11,n5) = n16 )
      & ( sum(n11,n6) = n17 )
      & ( sum(n11,n7) = n18 )
      & ( sum(n11,n8) = n19 )
      & ( sum(n11,n9) = n20 )
      & ( sum(n11,n10) = n0 )
      & ( sum(n11,n11) = n1 )
      & ( sum(n11,n12) = n2 )
      & ( sum(n11,n13) = n3 )
      & ( sum(n11,n14) = n4 )
      & ( sum(n11,n15) = n5 )
      & ( sum(n11,n16) = n6 )
      & ( sum(n11,n17) = n7 )
      & ( sum(n11,n18) = n8 )
      & ( sum(n11,n19) = n9 )
      & ( sum(n11,n20) = n10 )
      & ( sum(n12,n0) = n12 )
      & ( sum(n12,n1) = n13 )
      & ( sum(n12,n2) = n14 )
      & ( sum(n12,n3) = n15 )
      & ( sum(n12,n4) = n16 )
      & ( sum(n12,n5) = n17 )
      & ( sum(n12,n6) = n18 )
      & ( sum(n12,n7) = n19 )
      & ( sum(n12,n8) = n20 )
      & ( sum(n12,n9) = n0 )
      & ( sum(n12,n10) = n1 )
      & ( sum(n12,n11) = n2 )
      & ( sum(n12,n12) = n3 )
      & ( sum(n12,n13) = n4 )
      & ( sum(n12,n14) = n5 )
      & ( sum(n12,n15) = n6 )
      & ( sum(n12,n16) = n7 )
      & ( sum(n12,n17) = n8 )
      & ( sum(n12,n18) = n9 )
      & ( sum(n12,n19) = n10 )
      & ( sum(n12,n20) = n11 )
      & ( sum(n13,n0) = n13 )
      & ( sum(n13,n1) = n14 )
      & ( sum(n13,n2) = n15 )
      & ( sum(n13,n3) = n16 )
      & ( sum(n13,n4) = n17 )
      & ( sum(n13,n5) = n18 )
      & ( sum(n13,n6) = n19 )
      & ( sum(n13,n7) = n20 )
      & ( sum(n13,n8) = n0 )
      & ( sum(n13,n9) = n1 )
      & ( sum(n13,n10) = n2 )
      & ( sum(n13,n11) = n3 )
      & ( sum(n13,n12) = n4 )
      & ( sum(n13,n13) = n5 )
      & ( sum(n13,n14) = n6 )
      & ( sum(n13,n15) = n7 )
      & ( sum(n13,n16) = n8 )
      & ( sum(n13,n17) = n9 )
      & ( sum(n13,n18) = n10 )
      & ( sum(n13,n19) = n11 )
      & ( sum(n13,n20) = n12 )
      & ( sum(n14,n0) = n14 )
      & ( sum(n14,n1) = n15 )
      & ( sum(n14,n2) = n16 )
      & ( sum(n14,n3) = n17 )
      & ( sum(n14,n4) = n18 )
      & ( sum(n14,n5) = n19 )
      & ( sum(n14,n6) = n20 )
      & ( sum(n14,n7) = n0 )
      & ( sum(n14,n8) = n1 )
      & ( sum(n14,n9) = n2 )
      & ( sum(n14,n10) = n3 )
      & ( sum(n14,n11) = n4 )
      & ( sum(n14,n12) = n5 )
      & ( sum(n14,n13) = n6 )
      & ( sum(n14,n14) = n7 )
      & ( sum(n14,n15) = n8 )
      & ( sum(n14,n16) = n9 )
      & ( sum(n14,n17) = n10 )
      & ( sum(n14,n18) = n11 )
      & ( sum(n14,n19) = n12 )
      & ( sum(n14,n20) = n13 )
      & ( sum(n15,n0) = n15 )
      & ( sum(n15,n1) = n16 )
      & ( sum(n15,n2) = n17 )
      & ( sum(n15,n3) = n18 )
      & ( sum(n15,n4) = n19 )
      & ( sum(n15,n5) = n20 )
      & ( sum(n15,n6) = n0 )
      & ( sum(n15,n7) = n1 )
      & ( sum(n15,n8) = n2 )
      & ( sum(n15,n9) = n3 )
      & ( sum(n15,n10) = n4 )
      & ( sum(n15,n11) = n5 )
      & ( sum(n15,n12) = n6 )
      & ( sum(n15,n13) = n7 )
      & ( sum(n15,n14) = n8 )
      & ( sum(n15,n15) = n9 )
      & ( sum(n15,n16) = n10 )
      & ( sum(n15,n17) = n11 )
      & ( sum(n15,n18) = n12 )
      & ( sum(n15,n19) = n13 )
      & ( sum(n15,n20) = n14 )
      & ( sum(n16,n0) = n16 )
      & ( sum(n16,n1) = n17 )
      & ( sum(n16,n2) = n18 )
      & ( sum(n16,n3) = n19 )
      & ( sum(n16,n4) = n20 )
      & ( sum(n16,n5) = n0 )
      & ( sum(n16,n6) = n1 )
      & ( sum(n16,n7) = n2 )
      & ( sum(n16,n8) = n3 )
      & ( sum(n16,n9) = n4 )
      & ( sum(n16,n10) = n5 )
      & ( sum(n16,n11) = n6 )
      & ( sum(n16,n12) = n7 )
      & ( sum(n16,n13) = n8 )
      & ( sum(n16,n14) = n9 )
      & ( sum(n16,n15) = n10 )
      & ( sum(n16,n16) = n11 )
      & ( sum(n16,n17) = n12 )
      & ( sum(n16,n18) = n13 )
      & ( sum(n16,n19) = n14 )
      & ( sum(n16,n20) = n15 )
      & ( sum(n17,n0) = n17 )
      & ( sum(n17,n1) = n18 )
      & ( sum(n17,n2) = n19 )
      & ( sum(n17,n3) = n20 )
      & ( sum(n17,n4) = n0 )
      & ( sum(n17,n5) = n1 )
      & ( sum(n17,n6) = n2 )
      & ( sum(n17,n7) = n3 )
      & ( sum(n17,n8) = n4 )
      & ( sum(n17,n9) = n5 )
      & ( sum(n17,n10) = n6 )
      & ( sum(n17,n11) = n7 )
      & ( sum(n17,n12) = n8 )
      & ( sum(n17,n13) = n9 )
      & ( sum(n17,n14) = n10 )
      & ( sum(n17,n15) = n11 )
      & ( sum(n17,n16) = n12 )
      & ( sum(n17,n17) = n13 )
      & ( sum(n17,n18) = n14 )
      & ( sum(n17,n19) = n15 )
      & ( sum(n17,n20) = n16 )
      & ( sum(n18,n0) = n18 )
      & ( sum(n18,n1) = n19 )
      & ( sum(n18,n2) = n20 )
      & ( sum(n18,n3) = n0 )
      & ( sum(n18,n4) = n1 )
      & ( sum(n18,n5) = n2 )
      & ( sum(n18,n6) = n3 )
      & ( sum(n18,n7) = n4 )
      & ( sum(n18,n8) = n5 )
      & ( sum(n18,n9) = n6 )
      & ( sum(n18,n10) = n7 )
      & ( sum(n18,n11) = n8 )
      & ( sum(n18,n12) = n9 )
      & ( sum(n18,n13) = n10 )
      & ( sum(n18,n14) = n11 )
      & ( sum(n18,n15) = n12 )
      & ( sum(n18,n16) = n13 )
      & ( sum(n18,n17) = n14 )
      & ( sum(n18,n18) = n15 )
      & ( sum(n18,n19) = n16 )
      & ( sum(n18,n20) = n17 )
      & ( sum(n19,n0) = n19 )
      & ( sum(n19,n1) = n20 )
      & ( sum(n19,n2) = n0 )
      & ( sum(n19,n3) = n1 )
      & ( sum(n19,n4) = n2 )
      & ( sum(n19,n5) = n3 )
      & ( sum(n19,n6) = n4 )
      & ( sum(n19,n7) = n5 )
      & ( sum(n19,n8) = n6 )
      & ( sum(n19,n9) = n7 )
      & ( sum(n19,n10) = n8 )
      & ( sum(n19,n11) = n9 )
      & ( sum(n19,n12) = n10 )
      & ( sum(n19,n13) = n11 )
      & ( sum(n19,n14) = n12 )
      & ( sum(n19,n15) = n13 )
      & ( sum(n19,n16) = n14 )
      & ( sum(n19,n17) = n15 )
      & ( sum(n19,n18) = n16 )
      & ( sum(n19,n19) = n17 )
      & ( sum(n19,n20) = n18 )
      & ( sum(n20,n0) = n20 )
      & ( sum(n20,n1) = n0 )
      & ( sum(n20,n2) = n1 )
      & ( sum(n20,n3) = n2 )
      & ( sum(n20,n4) = n3 )
      & ( sum(n20,n5) = n4 )
      & ( sum(n20,n6) = n5 )
      & ( sum(n20,n7) = n6 )
      & ( sum(n20,n8) = n7 )
      & ( sum(n20,n9) = n8 )
      & ( sum(n20,n10) = n9 )
      & ( sum(n20,n11) = n10 )
      & ( sum(n20,n12) = n11 )
      & ( sum(n20,n13) = n12 )
      & ( sum(n20,n14) = n13 )
      & ( sum(n20,n15) = n14 )
      & ( sum(n20,n16) = n15 )
      & ( sum(n20,n17) = n16 )
      & ( sum(n20,n18) = n17 )
      & ( sum(n20,n19) = n18 )
      & ( sum(n20,n20) = n19 )
      & ( ( 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 )
        | ( X = n16 )
        | ( X = n17 )
        | ( X = n18 )
        | ( X = n19 )
        | ( X = n20 ) )
      & ( ( 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 )
        | ( Y = n16 )
        | ( Y = n17 )
        | ( Y = n18 )
        | ( Y = n19 )
        | ( Y = n20 ) )
      & ( 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 )
      & ( n0 != n16 )
      & ( n0 != n17 )
      & ( n0 != n18 )
      & ( n0 != n19 )
      & ( n0 != n20 )
      & ( 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 )
      & ( n1 != n16 )
      & ( n1 != n17 )
      & ( n1 != n18 )
      & ( n1 != n19 )
      & ( n1 != n20 )
      & ( 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 )
      & ( n2 != n16 )
      & ( n2 != n17 )
      & ( n2 != n18 )
      & ( n2 != n19 )
      & ( n2 != n20 )
      & ( n3 != n4 )
      & ( n3 != n5 )
      & ( n3 != n6 )
      & ( n3 != n7 )
      & ( n3 != n8 )
      & ( n3 != n9 )
      & ( n3 != n10 )
      & ( n3 != n11 )
      & ( n3 != n12 )
      & ( n3 != n13 )
      & ( n3 != n14 )
      & ( n3 != n15 )
      & ( n3 != n16 )
      & ( n3 != n17 )
      & ( n3 != n18 )
      & ( n3 != n19 )
      & ( n3 != n20 )
      & ( n4 != n5 )
      & ( n4 != n6 )
      & ( n4 != n7 )
      & ( n4 != n8 )
      & ( n4 != n9 )
      & ( n4 != n10 )
      & ( n4 != n11 )
      & ( n4 != n12 )
      & ( n4 != n13 )
      & ( n4 != n14 )
      & ( n4 != n15 )
      & ( n4 != n16 )
      & ( n4 != n17 )
      & ( n4 != n18 )
      & ( n4 != n19 )
      & ( n4 != n20 )
      & ( n5 != n6 )
      & ( n5 != n7 )
      & ( n5 != n8 )
      & ( n5 != n9 )
      & ( n5 != n10 )
      & ( n5 != n11 )
      & ( n5 != n12 )
      & ( n5 != n13 )
      & ( n5 != n14 )
      & ( n5 != n15 )
      & ( n5 != n16 )
      & ( n5 != n17 )
      & ( n5 != n18 )
      & ( n5 != n19 )
      & ( n5 != n20 )
      & ( n6 != n7 )
      & ( n6 != n8 )
      & ( n6 != n9 )
      & ( n6 != n10 )
      & ( n6 != n11 )
      & ( n6 != n12 )
      & ( n6 != n13 )
      & ( n6 != n14 )
      & ( n6 != n15 )
      & ( n6 != n16 )
      & ( n6 != n17 )
      & ( n6 != n18 )
      & ( n6 != n19 )
      & ( n6 != n20 )
      & ( n7 != n8 )
      & ( n7 != n9 )
      & ( n7 != n10 )
      & ( n7 != n11 )
      & ( n7 != n12 )
      & ( n7 != n13 )
      & ( n7 != n14 )
      & ( n7 != n15 )
      & ( n7 != n16 )
      & ( n7 != n17 )
      & ( n7 != n18 )
      & ( n7 != n19 )
      & ( n7 != n20 )
      & ( n8 != n9 )
      & ( n8 != n10 )
      & ( n8 != n11 )
      & ( n8 != n12 )
      & ( n8 != n13 )
      & ( n8 != n14 )
      & ( n8 != n15 )
      & ( n8 != n16 )
      & ( n8 != n17 )
      & ( n8 != n18 )
      & ( n8 != n19 )
      & ( n8 != n20 )
      & ( n9 != n10 )
      & ( n9 != n11 )
      & ( n9 != n12 )
      & ( n9 != n13 )
      & ( n9 != n14 )
      & ( n9 != n15 )
      & ( n9 != n16 )
      & ( n9 != n17 )
      & ( n9 != n18 )
      & ( n9 != n19 )
      & ( n9 != n20 )
      & ( n10 != n11 )
      & ( n10 != n12 )
      & ( n10 != n13 )
      & ( n10 != n14 )
      & ( n10 != n15 )
      & ( n10 != n16 )
      & ( n10 != n17 )
      & ( n10 != n18 )
      & ( n10 != n19 )
      & ( n10 != n20 )
      & ( n11 != n12 )
      & ( n11 != n13 )
      & ( n11 != n14 )
      & ( n11 != n15 )
      & ( n11 != n16 )
      & ( n11 != n17 )
      & ( n11 != n18 )
      & ( n11 != n19 )
      & ( n11 != n20 )
      & ( n12 != n13 )
      & ( n12 != n14 )
      & ( n12 != n15 )
      & ( n12 != n16 )
      & ( n12 != n17 )
      & ( n12 != n18 )
      & ( n12 != n19 )
      & ( n12 != n20 )
      & ( n13 != n14 )
      & ( n13 != n15 )
      & ( n13 != n16 )
      & ( n13 != n17 )
      & ( n13 != n18 )
      & ( n13 != n19 )
      & ( n13 != n20 )
      & ( n14 != n15 )
      & ( n14 != n16 )
      & ( n14 != n17 )
      & ( n14 != n18 )
      & ( n14 != n19 )
      & ( n14 != n20 )
      & ( n15 != n16 )
      & ( n15 != n17 )
      & ( n15 != n18 )
      & ( n15 != n19 )
      & ( n15 != n20 )
      & ( n16 != n17 )
      & ( n16 != n18 )
      & ( n16 != n19 )
      & ( n16 != n20 )
      & ( n17 != n18 )
      & ( n17 != n19 )
      & ( n17 != n20 )
      & ( n18 != n19 )
      & ( n18 != n20 )
      & ( n19 != n20 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',try_satisfy_this) ).

tff(c_908,plain,
    sum(n9,n11) = n20,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1308,plain,
    sum(n0,n0) = n0,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_864,plain,
    sum(n10,n12) = n1,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_472,plain,
    sum(n19,n19) = n17,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_550,plain,
    sum(n18,n1) = n19,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_952,plain,
    sum(n8,n10) = n18,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1142,plain,
    sum(n3,n20) = n2,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1220,plain,
    sum(n2,n2) = n4,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_946,plain,
    sum(n8,n13) = n0,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_820,plain,
    sum(n11,n13) = n3,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_596,plain,
    sum(n16,n20) = n15,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_634,plain,
    sum(n16,n1) = n17,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_560,plain,
    sum(n17,n17) = n13,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_630,plain,
    sum(n16,n3) = n19,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_996,plain,
    sum(n7,n9) = n16,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_902,plain,
    sum(n9,n14) = n2,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1176,plain,
    sum(n3,n3) = n6,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_860,plain,
    sum(n10,n14) = n3,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1264,plain,
    sum(n1,n1) = n2,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_944,plain,
    sum(n8,n14) = n1,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1132,plain,
    sum(n4,n4) = n8,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1066,plain,
    sum(n5,n16) = n0,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_776,plain,
    sum(n12,n14) = n5,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_680,plain,
    sum(n14,n20) = n13,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_718,plain,
    sum(n14,n1) = n15,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_684,plain,
    sum(n14,n18) = n11,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_714,plain,
    sum(n14,n3) = n17,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_648,plain,
    sum(n15,n15) = n9,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_710,plain,
    sum(n14,n5) = n19,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1040,plain,
    sum(n6,n8) = n14,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_900,plain,
    sum(n9,n15) = n3,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_858,plain,
    sum(n10,n15) = n4,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_942,plain,
    sum(n8,n15) = n2,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1088,plain,
    sum(n5,n5) = n10,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_816,plain,
    sum(n11,n15) = n5,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_984,plain,
    sum(n7,n15) = n1,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1044,plain,
    sum(n6,n6) = n12,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_732,plain,
    sum(n13,n15) = n7,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_764,plain,
    sum(n12,n20) = n11,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_802,plain,
    sum(n12,n1) = n13,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_772,plain,
    sum(n12,n16) = n7,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_794,plain,
    sum(n12,n5) = n17,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_736,plain,
    sum(n13,n13) = n5,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_790,plain,
    sum(n12,n7) = n19,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1084,plain,
    sum(n5,n7) = n12,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_898,plain,
    sum(n9,n16) = n4,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_856,plain,
    sum(n10,n16) = n5,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_920,plain,
    sum(n9,n5) = n14,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1024,plain,
    sum(n6,n16) = n1,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_956,plain,
    sum(n8,n8) = n16,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_688,plain,
    sum(n14,n16) = n9,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_852,plain,
    sum(n10,n18) = n7,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_882,plain,
    sum(n10,n3) = n13,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_810,plain,
    sum(n11,n18) = n8,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_840,plain,
    sum(n11,n3) = n14,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_692,plain,
    sum(n14,n14) = n7,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_878,plain,
    sum(n10,n5) = n15,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_962,plain,
    sum(n8,n5) = n13,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_966,plain,
    sum(n8,n3) = n11,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_824,plain,
    sum(n11,n11) = n1,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1046,plain,
    sum(n6,n5) = n11,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_516,plain,
    sum(n18,n18) = n15,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_752,plain,
    sum(n13,n5) = n18,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_868,plain,
    sum(n10,n10) = n20,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_912,plain,
    sum(n9,n9) = n18,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_950,plain,
    sum(n8,n11) = n19,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_644,plain,
    sum(n15,n17) = n11,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1172,plain,
    sum(n3,n5) = n8,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_722,plain,
    sum(n13,n20) = n12,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_760,plain,
    sum(n13,n1) = n14,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_726,plain,
    sum(n13,n18) = n10,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_756,plain,
    sum(n13,n3) = n16,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_734,plain,
    sum(n13,n14) = n6,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_738,plain,
    sum(n13,n12) = n4,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1104,plain,
    sum(n4,n18) = n1,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_780,plain,
    sum(n12,n12) = n3,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_746,plain,
    sum(n13,n8) = n0,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_600,plain,
    sum(n16,n18) = n13,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1016,plain,
    sum(n6,n20) = n5,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_880,plain,
    sum(n10,n4) = n14,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_638,plain,
    sum(n15,n20) = n14,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_676,plain,
    sum(n15,n1) = n16,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_924,plain,
    sum(n9,n3) = n12,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1134,plain,
    sum(n4,n3) = n7,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1108,plain,
    sum(n4,n16) = n20,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1130,plain,
    sum(n4,n5) = n9,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1112,plain,
    sum(n4,n14) = n18,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_604,plain,
    sum(n16,n16) = n11,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1116,plain,
    sum(n4,n12) = n16,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1120,plain,
    sum(n4,n10) = n14,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1128,plain,
    sum(n4,n6) = n10,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1118,plain,
    sum(n4,n11) = n15,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1110,plain,
    sum(n4,n15) = n19,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_556,plain,
    sum(n17,n19) = n15,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1260,plain,
    sum(n1,n3) = n4,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_554,plain,
    sum(n17,n20) = n16,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_592,plain,
    sum(n17,n1) = n18,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_558,plain,
    sum(n17,n18) = n14,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_806,plain,
    sum(n11,n20) = n10,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_562,plain,
    sum(n17,n16) = n12,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_584,plain,
    sum(n17,n5) = n1,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_566,plain,
    sum(n17,n14) = n10,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_570,plain,
    sum(n17,n12) = n8,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_574,plain,
    sum(n17,n10) = n6,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_572,plain,
    sum(n17,n11) = n7,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1184,plain,
    sum(n2,n20) = n1,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_586,plain,
    sum(n17,n4) = n0,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_512,plain,
    sum(n18,n20) = n17,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_426,plain,
    ( ( n20 = '#skF_1' )
    | ( n19 = '#skF_1' )
    | ( n18 = '#skF_1' )
    | ( n17 = '#skF_1' )
    | ( n16 = '#skF_1' )
    | ( 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_1709]) ).

tff(c_3325,plain,
    n0 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_426]) ).

tff(c_424,plain,
    ( ( n20 = '#skF_2' )
    | ( n19 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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_1709]) ).

tff(c_3415,plain,
    ( ( n20 = '#skF_2' )
    | ( n19 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_424]) ).

tff(c_3416,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_3415]) ).

tff(c_422,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_1709]) ).

tff(c_3419,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_3416,c_3416,c_3416,c_3416,c_422]) ).

tff(c_3420,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' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n19 = '#skF_2' )
    | ( n20 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_3415]) ).

tff(c_3684,plain,
    n20 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_3420]) ).

tff(c_428,plain,
    sum(n20,n20) = n19,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3713,plain,
    sum('#skF_2','#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_3684,c_3684,c_428]) ).

tff(c_468,plain,
    sum(n20,n0) = n20,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3383,plain,
    sum(n20,'#skF_1') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_468]) ).

tff(c_3688,plain,
    sum('#skF_2','#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_3684,c_3684,c_3383]) ).

tff(c_508,plain,
    sum(n19,n1) = n20,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3706,plain,
    sum(n19,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_3684,c_508]) ).

tff(c_1270,plain,
    sum(n0,n19) = n19,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3333,plain,
    sum('#skF_1',n19) = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_1270]) ).

tff(c_510,plain,
    sum(n19,n0) = n19,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3340,plain,
    sum(n19,'#skF_1') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_510]) ).

tff(c_1352,plain,
    succ(n20) = n0,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3389,plain,
    succ(n20) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_1352]) ).

tff(c_3691,plain,
    succ('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_3684,c_3389]) ).

tff(c_1310,plain,
    pred(n20) = n19,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3750,plain,
    pred('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_3684,c_1310]) ).

tff(c_466,plain,
    sum(n20,n1) = n0,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3380,plain,
    sum(n20,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_466]) ).

tff(c_1350,plain,
    pred(n0) = n20,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3388,plain,
    pred('#skF_1') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_1350]) ).

tff(c_1392,plain,
    succ(n0) = n1,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3390,plain,
    succ('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_1392]) ).

tff(c_3422,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_3390,c_3390,c_422]) ).

tff(c_3683,plain,
    sum(sum(n20,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_3380,c_3388,c_3388,c_3422]) ).

tff(c_3685,plain,
    sum(sum('#skF_2',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_3684,c_3683]) ).

tff(c_4031,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_3713,c_3688,c_3706,c_3333,c_3340,c_3691,c_3691,c_3750,c_3750,c_3685]) ).

tff(c_4032,plain,
    ( ( n19 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_3420]) ).

tff(c_4034,plain,
    n1 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_4032]) ).

tff(c_4071,plain,
    sum('#skF_2','#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_4034,c_4034,c_1264]) ).

tff(c_1306,plain,
    sum(n0,n1) = n1,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3345,plain,
    sum('#skF_1',n1) = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_1306]) ).

tff(c_4039,plain,
    sum('#skF_1','#skF_2') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_4034,c_4034,c_3345]) ).

tff(c_464,plain,
    sum(n20,n2) = n1,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_4059,plain,
    sum(n20,n2) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_4034,c_464]) ).

tff(c_1304,plain,
    sum(n0,n2) = n2,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3373,plain,
    sum('#skF_1',n2) = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_1304]) ).

tff(c_1348,plain,
    pred(n1) = n0,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3387,plain,
    pred(n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_1348]) ).

tff(c_4040,plain,
    pred('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_4034,c_3387]) ).

tff(c_1390,plain,
    succ(n1) = n2,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_4100,plain,
    succ('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_4034,c_1390]) ).

tff(c_4035,plain,
    sum(sum(n20,succ('#skF_2')),sum(pred('#skF_2'),'#skF_2')) != sum('#skF_1',sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_4034,c_3683]) ).

tff(c_4381,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4071,c_4039,c_4059,c_3373,c_3373,c_4040,c_4040,c_4100,c_4100,c_4035]) ).

tff(c_4382,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' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n19 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_4032]) ).

tff(c_4384,plain,
    n19 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_4382]) ).

tff(c_4408,plain,
    sum('#skF_2','#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_4384,c_4384,c_472]) ).

tff(c_4434,plain,
    sum(n18,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_4384,c_550]) ).

tff(c_4413,plain,
    sum(n20,n20) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_4384,c_428]) ).

tff(c_1274,plain,
    sum(n0,n17) = n17,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3384,plain,
    sum('#skF_1',n17) = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_1274]) ).

tff(c_1354,plain,
    succ(n19) = n20,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_4446,plain,
    succ('#skF_2') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_4384,c_1354]) ).

tff(c_1312,plain,
    pred(n19) = n18,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_4448,plain,
    pred('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_4384,c_1312]) ).

tff(c_4477,plain,
    sum(sum(n20,succ('#skF_2')),sum(n18,n1)) != sum('#skF_1',sum(n18,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_4448,c_4448,c_3683]) ).

tff(c_4731,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4408,c_4434,c_4413,c_3384,c_512,c_4446,c_4446,c_4477]) ).

tff(c_4732,plain,
    ( ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_4382]) ).

tff(c_4734,plain,
    n2 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_4732]) ).

tff(c_4761,plain,
    sum('#skF_2','#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_4734,c_4734,c_1220]) ).

tff(c_462,plain,
    sum(n20,n3) = n2,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_4765,plain,
    sum(n20,n3) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_4734,c_462]) ).

tff(c_4766,plain,
    sum(n1,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_4734,c_1264]) ).

tff(c_1300,plain,
    sum(n0,n4) = n4,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3359,plain,
    sum('#skF_1',n4) = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_1300]) ).

tff(c_1346,plain,
    pred(n2) = n1,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_4797,plain,
    pred('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_4734,c_1346]) ).

tff(c_1388,plain,
    succ(n2) = n3,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_4798,plain,
    succ('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_4734,c_1388]) ).

tff(c_4827,plain,
    sum(sum(n20,n3),sum(pred('#skF_2'),n1)) != sum('#skF_1',sum(pred('#skF_2'),n3)),
    inference(demodulation,[status(thm),theory(equality)],[c_4798,c_4798,c_3683]) ).

tff(c_5081,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4761,c_4765,c_4766,c_3359,c_1260,c_4797,c_4797,c_4827]) ).

tff(c_5082,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' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_4732]) ).

tff(c_5084,plain,
    n18 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_5082]) ).

tff(c_5102,plain,
    sum('#skF_2','#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_5084,c_5084,c_516]) ).

tff(c_5128,plain,
    sum(n17,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_5084,c_592]) ).

tff(c_430,plain,
    sum(n20,n19) = n18,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_5109,plain,
    sum(n20,n19) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_5084,c_430]) ).

tff(c_1278,plain,
    sum(n0,n15) = n15,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3339,plain,
    sum('#skF_1',n15) = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_1278]) ).

tff(c_1356,plain,
    succ(n18) = n19,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_5146,plain,
    succ('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_5084,c_1356]) ).

tff(c_1314,plain,
    pred(n18) = n17,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_5149,plain,
    pred('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_5084,c_1314]) ).

tff(c_5173,plain,
    sum(sum(n20,succ('#skF_2')),sum(n17,n1)) != sum('#skF_1',sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_5149,c_5149,c_3683]) ).

tff(c_5431,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_5102,c_5128,c_5109,c_3339,c_556,c_5146,c_5146,c_5173]) ).

tff(c_5432,plain,
    ( ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_5082]) ).

tff(c_5434,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_5432]) ).

tff(c_5465,plain,
    sum('#skF_2','#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_5434,c_5434,c_1176]) ).

tff(c_1222,plain,
    sum(n2,n1) = n3,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_5473,plain,
    sum(n2,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_5434,c_1222]) ).

tff(c_460,plain,
    sum(n20,n4) = n3,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_5479,plain,
    sum(n20,n4) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_5434,c_460]) ).

tff(c_1296,plain,
    sum(n0,n6) = n6,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3372,plain,
    sum('#skF_1',n6) = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_1296]) ).

tff(c_1216,plain,
    sum(n2,n4) = n6,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1344,plain,
    pred(n3) = n2,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_5496,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_5434,c_1344]) ).

tff(c_1386,plain,
    succ(n3) = n4,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_5499,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_5434,c_1386]) ).

tff(c_5523,plain,
    sum(sum(n20,n4),sum(pred('#skF_2'),n1)) != sum('#skF_1',sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_5499,c_5499,c_3683]) ).

tff(c_5781,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_5465,c_5473,c_5479,c_3372,c_1216,c_5496,c_5496,c_5523]) ).

tff(c_5782,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' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_5432]) ).

tff(c_5784,plain,
    n17 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_5782]) ).

tff(c_5837,plain,
    sum('#skF_2','#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_5784,c_5784,c_560]) ).

tff(c_5820,plain,
    sum(n16,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_5784,c_634]) ).

tff(c_432,plain,
    sum(n20,n18) = n17,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_5809,plain,
    sum(n20,n18) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_5784,c_432]) ).

tff(c_1282,plain,
    sum(n0,n13) = n13,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3330,plain,
    sum('#skF_1',n13) = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_1282]) ).

tff(c_1316,plain,
    pred(n17) = n16,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_5847,plain,
    pred('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_5784,c_1316]) ).

tff(c_1358,plain,
    succ(n17) = n18,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_5846,plain,
    succ('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_5784,c_1358]) ).

tff(c_5877,plain,
    sum(sum(n20,n18),sum(pred('#skF_2'),n1)) != sum('#skF_1',sum(pred('#skF_2'),n18)),
    inference(demodulation,[status(thm),theory(equality)],[c_5846,c_5846,c_3683]) ).

tff(c_6131,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_5837,c_5820,c_5809,c_3330,c_600,c_5847,c_5847,c_5877]) ).

tff(c_6132,plain,
    ( ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_5782]) ).

tff(c_6134,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_6132]) ).

tff(c_6174,plain,
    sum('#skF_2','#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_6134,c_6134,c_1132]) ).

tff(c_458,plain,
    sum(n20,n5) = n4,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_6194,plain,
    sum(n20,n5) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_6134,c_458]) ).

tff(c_1180,plain,
    sum(n3,n1) = n4,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_6195,plain,
    sum(n3,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_6134,c_1180]) ).

tff(c_1292,plain,
    sum(n0,n8) = n8,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3349,plain,
    sum('#skF_1',n8) = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_1292]) ).

tff(c_1342,plain,
    pred(n4) = n3,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_6198,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_6134,c_1342]) ).

tff(c_1384,plain,
    succ(n4) = n5,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_6196,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_6134,c_1384]) ).

tff(c_6227,plain,
    sum(sum(n20,n5),sum(pred('#skF_2'),n1)) != sum('#skF_1',sum(pred('#skF_2'),n5)),
    inference(demodulation,[status(thm),theory(equality)],[c_6196,c_6196,c_3683]) ).

tff(c_6481,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_6174,c_6194,c_6195,c_3349,c_1172,c_6198,c_6198,c_6227]) ).

tff(c_6482,plain,
    ( ( 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' )
    | ( n16 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_6132]) ).

tff(c_6484,plain,
    n16 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_6482]) ).

tff(c_6530,plain,
    sum('#skF_2','#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_6484,c_6484,c_604]) ).

tff(c_6513,plain,
    sum(n15,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_6484,c_676]) ).

tff(c_434,plain,
    sum(n20,n17) = n16,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_6493,plain,
    sum(n20,n17) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_6484,c_434]) ).

tff(c_1286,plain,
    sum(n0,n11) = n11,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3361,plain,
    sum('#skF_1',n11) = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_1286]) ).

tff(c_1360,plain,
    succ(n16) = n17,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_6548,plain,
    succ('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_6484,c_1360]) ).

tff(c_1318,plain,
    pred(n16) = n15,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_6546,plain,
    pred('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_6484,c_1318]) ).

tff(c_6577,plain,
    sum(sum(n20,succ('#skF_2')),sum(n15,n1)) != sum('#skF_1',sum(n15,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_6546,c_6546,c_3683]) ).

tff(c_6831,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_6530,c_6513,c_6493,c_3361,c_644,c_6548,c_6548,c_6577]) ).

tff(c_6832,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' ) ),
    inference(splitRight,[status(thm)],[c_6482]) ).

tff(c_6834,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_6832]) ).

tff(c_6870,plain,
    sum('#skF_2','#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_6834,c_6834,c_1088]) ).

tff(c_456,plain,
    sum(n20,n6) = n5,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_6882,plain,
    sum(n20,n6) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_6834,c_456]) ).

tff(c_1138,plain,
    sum(n4,n1) = n5,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_6889,plain,
    sum(n4,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_6834,c_1138]) ).

tff(c_1288,plain,
    sum(n0,n10) = n10,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3354,plain,
    sum('#skF_1',n10) = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_1288]) ).

tff(c_1340,plain,
    pred(n5) = n4,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_6898,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_6834,c_1340]) ).

tff(c_1382,plain,
    succ(n5) = n6,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_6896,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_6834,c_1382]) ).

tff(c_6927,plain,
    sum(sum(n20,n6),sum(pred('#skF_2'),n1)) != sum('#skF_1',sum(pred('#skF_2'),n6)),
    inference(demodulation,[status(thm),theory(equality)],[c_6896,c_6896,c_3683]) ).

tff(c_7181,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_6870,c_6882,c_6889,c_3354,c_1128,c_6898,c_6898,c_6927]) ).

tff(c_7182,plain,
    ( ( 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_6832]) ).

tff(c_7184,plain,
    n15 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_7182]) ).

tff(c_7228,plain,
    sum('#skF_2','#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_7184,c_7184,c_648]) ).

tff(c_436,plain,
    sum(n20,n16) = n15,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_7243,plain,
    sum(n20,n16) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_7184,c_436]) ).

tff(c_7201,plain,
    sum(n14,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_7184,c_718]) ).

tff(c_1290,plain,
    sum(n0,n9) = n9,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3382,plain,
    sum('#skF_1',n9) = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_1290]) ).

tff(c_1320,plain,
    pred(n15) = n14,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_7246,plain,
    pred('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_7184,c_1320]) ).

tff(c_1362,plain,
    succ(n15) = n16,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_7249,plain,
    succ('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_7184,c_1362]) ).

tff(c_7273,plain,
    sum(sum(n20,n16),sum(pred('#skF_2'),n1)) != sum('#skF_1',sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_7249,c_7249,c_3683]) ).

tff(c_7531,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_7228,c_7243,c_7201,c_3382,c_688,c_7246,c_7246,c_7273]) ).

tff(c_7532,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' ) ),
    inference(splitRight,[status(thm)],[c_7182]) ).

tff(c_7534,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_7532]) ).

tff(c_7560,plain,
    sum('#skF_2','#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_7534,c_7534,c_1044]) ).

tff(c_1096,plain,
    sum(n5,n1) = n6,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_7586,plain,
    sum(n5,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_7534,c_1096]) ).

tff(c_454,plain,
    sum(n20,n7) = n6,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_7562,plain,
    sum(n20,n7) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_7534,c_454]) ).

tff(c_1284,plain,
    sum(n0,n12) = n12,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3357,plain,
    sum('#skF_1',n12) = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_1284]) ).

tff(c_1338,plain,
    pred(n6) = n5,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_7597,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_7534,c_1338]) ).

tff(c_1380,plain,
    succ(n6) = n7,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_7599,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_7534,c_1380]) ).

tff(c_7623,plain,
    sum(sum(n20,n7),sum(pred('#skF_2'),n1)) != sum('#skF_1',sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_7599,c_7599,c_3683]) ).

tff(c_7881,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_7560,c_7586,c_7562,c_3357,c_1084,c_7597,c_7597,c_7623]) ).

tff(c_7882,plain,
    ( ( 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_7532]) ).

tff(c_7884,plain,
    n14 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_7882]) ).

tff(c_7919,plain,
    sum('#skF_2','#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_7884,c_7884,c_692]) ).

tff(c_438,plain,
    sum(n20,n15) = n14,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_7892,plain,
    sum(n20,n15) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_7884,c_438]) ).

tff(c_7897,plain,
    sum(n13,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_7884,c_760]) ).

tff(c_1294,plain,
    sum(n0,n7) = n7,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3375,plain,
    sum('#skF_1',n7) = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_1294]) ).

tff(c_1322,plain,
    pred(n14) = n13,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_7947,plain,
    pred('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_7884,c_1322]) ).

tff(c_1364,plain,
    succ(n14) = n15,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_7949,plain,
    succ('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_7884,c_1364]) ).

tff(c_7973,plain,
    sum(sum(n20,n15),sum(pred('#skF_2'),n1)) != sum('#skF_1',sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_7949,c_7949,c_3683]) ).

tff(c_8231,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_7919,c_7892,c_7897,c_3375,c_732,c_7947,c_7947,c_7973]) ).

tff(c_8232,plain,
    ( ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_7882]) ).

tff(c_8234,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_8232]) ).

tff(c_1000,plain,
    sum(n7,n7) = n14,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_8260,plain,
    sum('#skF_2','#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_8234,c_8234,c_1000]) ).

tff(c_1054,plain,
    sum(n6,n1) = n7,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_8245,plain,
    sum(n6,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_8234,c_1054]) ).

tff(c_452,plain,
    sum(n20,n8) = n7,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_8244,plain,
    sum(n20,n8) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_8234,c_452]) ).

tff(c_1280,plain,
    sum(n0,n14) = n14,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3353,plain,
    sum('#skF_1',n14) = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_1280]) ).

tff(c_1336,plain,
    pred(n7) = n6,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_8296,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_8234,c_1336]) ).

tff(c_1378,plain,
    succ(n7) = n8,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_8299,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_8234,c_1378]) ).

tff(c_8323,plain,
    sum(sum(n20,n8),sum(pred('#skF_2'),n1)) != sum('#skF_1',sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_8299,c_8299,c_3683]) ).

tff(c_8581,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_8260,c_8245,c_8244,c_3353,c_1040,c_8296,c_8296,c_8323]) ).

tff(c_8582,plain,
    ( ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_8232]) ).

tff(c_8584,plain,
    n13 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_8582]) ).

tff(c_8622,plain,
    sum('#skF_2','#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_8584,c_8584,c_736]) ).

tff(c_8600,plain,
    sum(n12,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_8584,c_802]) ).

tff(c_440,plain,
    sum(n20,n14) = n13,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_8614,plain,
    sum(n20,n14) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_8584,c_440]) ).

tff(c_1298,plain,
    sum(n0,n5) = n5,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3347,plain,
    sum('#skF_1',n5) = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_1298]) ).

tff(c_1366,plain,
    succ(n13) = n14,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_8647,plain,
    succ('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_8584,c_1366]) ).

tff(c_1324,plain,
    pred(n13) = n12,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_8649,plain,
    pred('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_8584,c_1324]) ).

tff(c_8673,plain,
    sum(sum(n20,succ('#skF_2')),sum(n12,n1)) != sum('#skF_1',sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_8649,c_8649,c_3683]) ).

tff(c_8931,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_8622,c_8600,c_8614,c_3347,c_776,c_8647,c_8647,c_8673]) ).

tff(c_8932,plain,
    ( ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_8582]) ).

tff(c_8934,plain,
    n8 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_8932]) ).

tff(c_8986,plain,
    sum('#skF_2','#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_8934,c_8934,c_956]) ).

tff(c_450,plain,
    sum(n20,n9) = n8,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_8954,plain,
    sum(n20,n9) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_8934,c_450]) ).

tff(c_1012,plain,
    sum(n7,n1) = n8,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_8956,plain,
    sum(n7,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_8934,c_1012]) ).

tff(c_1276,plain,
    sum(n0,n16) = n16,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3381,plain,
    sum('#skF_1',n16) = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_1276]) ).

tff(c_1376,plain,
    succ(n8) = n9,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_8996,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_8934,c_1376]) ).

tff(c_1334,plain,
    pred(n8) = n7,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_8997,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_8934,c_1334]) ).

tff(c_9031,plain,
    sum(sum(n20,succ('#skF_2')),sum(n7,n1)) != sum('#skF_1',sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_8997,c_8997,c_3683]) ).

tff(c_9281,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_8986,c_8954,c_8956,c_3381,c_996,c_8996,c_8996,c_9031]) ).

tff(c_9282,plain,
    ( ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_8932]) ).

tff(c_9284,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_9282]) ).

tff(c_9323,plain,
    sum('#skF_2','#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_9284,c_9284,c_780]) ).

tff(c_442,plain,
    sum(n20,n13) = n12,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_9313,plain,
    sum(n20,n13) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_9284,c_442]) ).

tff(c_844,plain,
    sum(n11,n1) = n12,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_9319,plain,
    sum(n11,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_9284,c_844]) ).

tff(c_1302,plain,
    sum(n0,n3) = n3,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3346,plain,
    sum('#skF_1',n3) = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_1302]) ).

tff(c_1368,plain,
    succ(n12) = n13,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_9347,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_9284,c_1368]) ).

tff(c_1326,plain,
    pred(n12) = n11,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_9349,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_9284,c_1326]) ).

tff(c_9381,plain,
    sum(sum(n20,succ('#skF_2')),sum(n11,n1)) != sum('#skF_1',sum(n11,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_9349,c_9349,c_3683]) ).

tff(c_9631,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_9323,c_9313,c_9319,c_3346,c_820,c_9347,c_9347,c_9381]) ).

tff(c_9632,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_9282]) ).

tff(c_9634,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_9632]) ).

tff(c_9665,plain,
    sum('#skF_2','#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_9634,c_9634,c_912]) ).

tff(c_970,plain,
    sum(n8,n1) = n9,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_9662,plain,
    sum(n8,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_9634,c_970]) ).

tff(c_448,plain,
    sum(n20,n10) = n9,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_9654,plain,
    sum(n20,n10) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_9634,c_448]) ).

tff(c_1272,plain,
    sum(n0,n18) = n18,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3358,plain,
    sum('#skF_1',n18) = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_1272]) ).

tff(c_1332,plain,
    pred(n9) = n8,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_9698,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_9634,c_1332]) ).

tff(c_1374,plain,
    succ(n9) = n10,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_9696,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_9634,c_1374]) ).

tff(c_9723,plain,
    sum(sum(n20,n10),sum(pred('#skF_2'),n1)) != sum('#skF_1',sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_9696,c_9696,c_3683]) ).

tff(c_9981,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_9665,c_9662,c_9654,c_3358,c_952,c_9698,c_9698,c_9723]) ).

tff(c_9982,plain,
    ( ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_9632]) ).

tff(c_9984,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_9982]) ).

tff(c_10012,plain,
    sum('#skF_2','#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_9984,c_9984,c_824]) ).

tff(c_444,plain,
    sum(n20,n12) = n11,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_10011,plain,
    sum(n20,n12) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_9984,c_444]) ).

tff(c_886,plain,
    sum(n10,n1) = n11,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_10010,plain,
    sum(n10,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_9984,c_886]) ).

tff(c_1328,plain,
    pred(n11) = n10,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_10049,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_9984,c_1328]) ).

tff(c_1370,plain,
    succ(n11) = n12,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_10046,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_9984,c_1370]) ).

tff(c_10073,plain,
    sum(sum(n20,n12),sum(pred('#skF_2'),n1)) != sum('#skF_1',sum(pred('#skF_2'),n12)),
    inference(demodulation,[status(thm),theory(equality)],[c_10046,c_10046,c_3683]) ).

tff(c_10331,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_10012,c_10011,c_10010,c_3345,c_864,c_10049,c_10049,c_10073]) ).

tff(c_10332,plain,
    n10 = '#skF_2',
    inference(splitRight,[status(thm)],[c_9982]) ).

tff(c_10341,plain,
    sum('#skF_2','#skF_2') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_10332,c_10332,c_868]) ).

tff(c_446,plain,
    sum(n20,n11) = n10,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_10372,plain,
    sum(n20,n11) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_10332,c_446]) ).

tff(c_928,plain,
    sum(n9,n1) = n10,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_10392,plain,
    sum(n9,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_10332,c_928]) ).

tff(c_1268,plain,
    sum(n0,n20) = n20,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_3374,plain,
    sum('#skF_1',n20) = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_1268]) ).

tff(c_1330,plain,
    pred(n10) = n9,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_10398,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_10332,c_1330]) ).

tff(c_1372,plain,
    succ(n10) = n11,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_10395,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_10332,c_1372]) ).

tff(c_10430,plain,
    sum(sum(n20,n11),sum(pred('#skF_2'),n1)) != sum('#skF_1',sum(pred('#skF_2'),n11)),
    inference(demodulation,[status(thm),theory(equality)],[c_10395,c_10395,c_3683]) ).

tff(c_10680,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_10341,c_10372,c_10392,c_3374,c_908,c_10398,c_10398,c_10430]) ).

tff(c_10681,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' )
    | ( n16 = '#skF_1' )
    | ( n17 = '#skF_1' )
    | ( n18 = '#skF_1' )
    | ( n19 = '#skF_1' )
    | ( n20 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_426]) ).

tff(c_10683,plain,
    n20 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_10681]) ).

tff(c_470,plain,
    sum(n19,n20) = n18,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_10708,plain,
    sum(n19,'#skF_1') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_10683,c_470]) ).

tff(c_10740,plain,
    sum(n9,n11) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_10683,c_908]) ).

tff(c_10686,plain,
    sum(n10,n10) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_10683,c_868]) ).

tff(c_888,plain,
    sum(n10,n0) = n10,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_474,plain,
    sum(n19,n18) = n16,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_846,plain,
    sum(n11,n0) = n11,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_478,plain,
    sum(n19,n16) = n14,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_500,plain,
    sum(n19,n5) = n3,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_482,plain,
    sum(n19,n14) = n12,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_762,plain,
    sum(n13,n0) = n13,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_486,plain,
    sum(n19,n12) = n10,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_720,plain,
    sum(n14,n0) = n14,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_490,plain,
    sum(n19,n10) = n8,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_488,plain,
    sum(n19,n11) = n9,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_494,plain,
    sum(n19,n8) = n6,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_484,plain,
    sum(n19,n13) = n11,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_498,plain,
    sum(n19,n6) = n4,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_480,plain,
    sum(n19,n15) = n13,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_10746,plain,
    succ('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_10683,c_1352]) ).

tff(c_10705,plain,
    sum('#skF_1','#skF_1') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_10683,c_10683,c_428]) ).

tff(c_10772,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n19 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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(demodulation,[status(thm),theory(equality)],[c_10683,c_424]) ).

tff(c_10773,plain,
    n0 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_10772]) ).

tff(c_10743,plain,
    sum('#skF_1',n0) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_10683,c_10683,c_468]) ).

tff(c_11221,plain,
    sum('#skF_1','#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_10773,c_10743]) ).

tff(c_10789,plain,
    sum(n19,'#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_10773,c_510]) ).

tff(c_10737,plain,
    sum('#skF_1',n1) = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_10683,c_466]) ).

tff(c_11188,plain,
    sum('#skF_1',n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_10773,c_10737]) ).

tff(c_10697,plain,
    sum(n19,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_10683,c_508]) ).

tff(c_10747,plain,
    pred('#skF_1') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_10683,c_1310]) ).

tff(c_10833,plain,
    succ('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_10773,c_1392]) ).

tff(c_10744,plain,
    pred(n0) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_10683,c_1350]) ).

tff(c_10863,plain,
    pred('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_10773,c_10744]) ).

tff(c_10857,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_10773,c_10746]) ).

tff(c_10858,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),'#skF_2')) != sum(sum(pred('#skF_1'),'#skF_2'),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_10857,c_10857,c_422]) ).

tff(c_11357,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_10705,c_11221,c_10789,c_11188,c_10697,c_10789,c_10747,c_10747,c_10833,c_10833,c_10863,c_10863,c_10858]) ).

tff(c_11358,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' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n19 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_10772]) ).

tff(c_11618,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_11358]) ).

tff(c_11360,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_10746,c_10746,c_422]) ).

tff(c_11617,plain,
    sum(sum(n19,succ('#skF_2')),sum(pred('#skF_2'),n0)) != sum(n19,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_510,c_10747,c_10747,c_11360]) ).

tff(c_11619,plain,
    sum(sum(n19,succ('#skF_1')),sum(pred('#skF_1'),n0)) != sum(n19,sum(pred('#skF_1'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_11618,c_11618,c_11618,c_11618,c_11617]) ).

tff(c_11623,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_10746,c_510,c_10746,c_11619]) ).

tff(c_11624,plain,
    ( ( n19 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_11358]) ).

tff(c_11626,plain,
    n1 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_11624]) ).

tff(c_11688,plain,
    pred('#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_11626,c_1348]) ).

tff(c_506,plain,
    sum(n19,n2) = n0,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_11691,plain,
    succ('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_11626,c_1390]) ).

tff(c_11715,plain,
    sum(sum(n19,n2),sum(pred('#skF_2'),n0)) != sum(n19,sum(pred('#skF_2'),n2)),
    inference(demodulation,[status(thm),theory(equality)],[c_11691,c_11691,c_11617]) ).

tff(c_11716,plain,
    sum(n19,sum(pred('#skF_2'),n2)) != sum(n0,sum(pred('#skF_2'),n0)),
    inference(demodulation,[status(thm),theory(equality)],[c_506,c_11715]) ).

tff(c_11974,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1308,c_1308,c_11688,c_506,c_1304,c_11688,c_11716]) ).

tff(c_11975,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' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n19 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_11624]) ).

tff(c_11977,plain,
    n19 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_11975]) ).

tff(c_11980,plain,
    sum('#skF_2','#skF_1') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_11977,c_10708]) ).

tff(c_476,plain,
    sum(n19,n17) = n15,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_12040,plain,
    sum('#skF_2',n17) = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_11977,c_476]) ).

tff(c_10696,plain,
    sum(n18,'#skF_1') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_10683,c_512]) ).

tff(c_10745,plain,
    succ(n19) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_10683,c_1354]) ).

tff(c_11984,plain,
    succ('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_11977,c_10745]) ).

tff(c_12043,plain,
    pred('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_11977,c_1312]) ).

tff(c_552,plain,
    sum(n18,n0) = n18,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_11978,plain,
    sum(sum('#skF_2',succ('#skF_2')),sum(pred('#skF_2'),n0)) != sum('#skF_2',sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_11977,c_11977,c_11617]) ).

tff(c_12324,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_11980,c_12040,c_10696,c_11984,c_11984,c_12043,c_552,c_12043,c_11978]) ).

tff(c_12325,plain,
    ( ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_11975]) ).

tff(c_12327,plain,
    n2 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_12325]) ).

tff(c_12361,plain,
    sum(n1,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_12327,c_1264]) ).

tff(c_502,plain,
    sum(n19,n4) = n2,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_12365,plain,
    sum(n19,n4) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_12327,c_502]) ).

tff(c_12391,plain,
    succ('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_12327,c_1388]) ).

tff(c_504,plain,
    sum(n19,n3) = n1,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1266,plain,
    sum(n1,n0) = n1,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_12390,plain,
    pred('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_12327,c_1346]) ).

tff(c_12424,plain,
    sum(sum(n19,succ('#skF_2')),sum(n1,n0)) != sum(n19,sum(n1,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_12390,c_12390,c_11617]) ).

tff(c_12425,plain,
    sum(sum(n19,succ('#skF_2')),n1) != sum(n19,sum(n1,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1266,c_12424]) ).

tff(c_12675,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_12361,c_12365,c_1260,c_12391,c_504,c_12391,c_12425]) ).

tff(c_12676,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' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_12325]) ).

tff(c_12678,plain,
    n18 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_12676]) ).

tff(c_12740,plain,
    succ('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_12678,c_1356]) ).

tff(c_594,plain,
    sum(n17,n0) = n17,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_12743,plain,
    pred('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_12678,c_1314]) ).

tff(c_12767,plain,
    sum(sum(n19,succ('#skF_2')),sum(n17,n0)) != sum(n19,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_12743,c_12743,c_11617]) ).

tff(c_12768,plain,
    sum(sum(n19,succ('#skF_2')),n17) != sum(n19,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_594,c_12767]) ).

tff(c_13026,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_480,c_556,c_12740,c_560,c_472,c_12740,c_12768]) ).

tff(c_13027,plain,
    ( ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_12676]) ).

tff(c_13029,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_13027]) ).

tff(c_13091,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_13029,c_1344]) ).

tff(c_1224,plain,
    sum(n2,n0) = n2,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_13094,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_13029,c_1386]) ).

tff(c_13118,plain,
    sum(sum(n19,n4),sum(pred('#skF_2'),n0)) != sum(n19,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_13094,c_13094,c_11617]) ).

tff(c_13119,plain,
    sum(n2,sum(pred('#skF_2'),n0)) != sum(n19,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_502,c_13118]) ).

tff(c_13377,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_498,c_1216,c_13091,c_1220,c_1224,c_13091,c_13119]) ).

tff(c_13378,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' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_13027]) ).

tff(c_13380,plain,
    n17 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_13378]) ).

tff(c_13442,plain,
    succ('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_13380,c_1358]) ).

tff(c_636,plain,
    sum(n16,n0) = n16,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_13443,plain,
    pred('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_13380,c_1316]) ).

tff(c_13477,plain,
    sum(sum(n19,succ('#skF_2')),sum(n16,n0)) != sum(n19,sum(n16,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_13443,c_13443,c_11617]) ).

tff(c_13478,plain,
    sum(sum(n19,succ('#skF_2')),n16) != sum(n19,sum(n16,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_636,c_13477]) ).

tff(c_13728,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_484,c_600,c_13442,c_604,c_474,c_13442,c_13478]) ).

tff(c_13729,plain,
    ( ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_13378]) ).

tff(c_13731,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_13729]) ).

tff(c_13793,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_13731,c_1384]) ).

tff(c_1182,plain,
    sum(n3,n0) = n3,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_13795,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_13731,c_1342]) ).

tff(c_13824,plain,
    sum(sum(n19,succ('#skF_2')),sum(n3,n0)) != sum(n19,sum(n3,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_13795,c_13795,c_11617]) ).

tff(c_13825,plain,
    sum(sum(n19,succ('#skF_2')),n3) != sum(n19,sum(n3,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1182,c_13824]) ).

tff(c_14079,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_494,c_1172,c_13793,c_1176,c_500,c_13793,c_13825]) ).

tff(c_14080,plain,
    ( ( 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' )
    | ( n16 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_13729]) ).

tff(c_14082,plain,
    n16 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_14080]) ).

tff(c_14146,plain,
    succ('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_14082,c_1360]) ).

tff(c_678,plain,
    sum(n15,n0) = n15,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_14144,plain,
    pred('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_14082,c_1318]) ).

tff(c_14175,plain,
    sum(sum(n19,succ('#skF_2')),sum(n15,n0)) != sum(n19,sum(n15,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_14144,c_14144,c_11617]) ).

tff(c_14176,plain,
    sum(sum(n19,succ('#skF_2')),n15) != sum(n19,sum(n15,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_678,c_14175]) ).

tff(c_14430,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_488,c_644,c_14146,c_648,c_476,c_14146,c_14176]) ).

tff(c_14431,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' ) ),
    inference(splitRight,[status(thm)],[c_14080]) ).

tff(c_14433,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_14431]) ).

tff(c_14497,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_14433,c_1340]) ).

tff(c_1140,plain,
    sum(n4,n0) = n4,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_14495,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_14433,c_1382]) ).

tff(c_14526,plain,
    sum(sum(n19,n6),sum(pred('#skF_2'),n0)) != sum(n19,sum(pred('#skF_2'),n6)),
    inference(demodulation,[status(thm),theory(equality)],[c_14495,c_14495,c_11617]) ).

tff(c_14527,plain,
    sum(n4,sum(pred('#skF_2'),n0)) != sum(n19,sum(pred('#skF_2'),n6)),
    inference(demodulation,[status(thm),theory(equality)],[c_498,c_14526]) ).

tff(c_14781,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_490,c_1128,c_14497,c_1132,c_1140,c_14497,c_14527]) ).

tff(c_14782,plain,
    ( ( 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_14431]) ).

tff(c_14784,plain,
    n15 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_14782]) ).

tff(c_14846,plain,
    pred('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_14784,c_1320]) ).

tff(c_492,plain,
    sum(n19,n9) = n7,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_14849,plain,
    succ('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_14784,c_1362]) ).

tff(c_14873,plain,
    sum(sum(n19,n16),sum(pred('#skF_2'),n0)) != sum(n19,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_14849,c_14849,c_11617]) ).

tff(c_14874,plain,
    sum(n19,sum(pred('#skF_2'),n16)) != sum(n14,sum(pred('#skF_2'),n0)),
    inference(demodulation,[status(thm),theory(equality)],[c_478,c_14873]) ).

tff(c_15132,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_692,c_720,c_14846,c_492,c_688,c_14846,c_14874]) ).

tff(c_15133,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' ) ),
    inference(splitRight,[status(thm)],[c_14782]) ).

tff(c_15135,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_15133]) ).

tff(c_15198,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_15135,c_1338]) ).

tff(c_1098,plain,
    sum(n5,n0) = n5,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_496,plain,
    sum(n19,n7) = n5,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_15200,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_15135,c_1380]) ).

tff(c_15224,plain,
    sum(sum(n19,n7),sum(pred('#skF_2'),n0)) != sum(n19,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_15200,c_15200,c_11617]) ).

tff(c_15225,plain,
    sum(n5,sum(pred('#skF_2'),n0)) != sum(n19,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_496,c_15224]) ).

tff(c_15483,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_486,c_1084,c_15198,c_1088,c_1098,c_15198,c_15225]) ).

tff(c_15484,plain,
    ( ( 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_15133]) ).

tff(c_15486,plain,
    n14 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_15484]) ).

tff(c_15549,plain,
    pred('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_15486,c_1322]) ).

tff(c_15551,plain,
    succ('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_15486,c_1364]) ).

tff(c_15575,plain,
    sum(sum(n19,n15),sum(pred('#skF_2'),n0)) != sum(n19,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_15551,c_15551,c_11617]) ).

tff(c_15576,plain,
    sum(n19,sum(pred('#skF_2'),n15)) != sum(n13,sum(pred('#skF_2'),n0)),
    inference(demodulation,[status(thm),theory(equality)],[c_480,c_15575]) ).

tff(c_15834,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_736,c_762,c_15549,c_496,c_732,c_15549,c_15576]) ).

tff(c_15835,plain,
    ( ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_15484]) ).

tff(c_15837,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_15835]) ).

tff(c_15899,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_15837,c_1336]) ).

tff(c_1056,plain,
    sum(n6,n0) = n6,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_15902,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_15837,c_1378]) ).

tff(c_15926,plain,
    sum(sum(n19,n8),sum(pred('#skF_2'),n0)) != sum(n19,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_15902,c_15902,c_11617]) ).

tff(c_15927,plain,
    sum(n6,sum(pred('#skF_2'),n0)) != sum(n19,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_494,c_15926]) ).

tff(c_16185,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_482,c_1040,c_15899,c_1044,c_1056,c_15899,c_15927]) ).

tff(c_16186,plain,
    ( ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_15835]) ).

tff(c_16188,plain,
    n13 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_16186]) ).

tff(c_16251,plain,
    succ('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_16188,c_1366]) ).

tff(c_804,plain,
    sum(n12,n0) = n12,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_16253,plain,
    pred('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_16188,c_1324]) ).

tff(c_16277,plain,
    sum(sum(n19,succ('#skF_2')),sum(n12,n0)) != sum(n19,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_16253,c_16253,c_11617]) ).

tff(c_16278,plain,
    sum(sum(n19,succ('#skF_2')),n12) != sum(n19,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_804,c_16277]) ).

tff(c_16536,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_500,c_776,c_16251,c_780,c_482,c_16251,c_16278]) ).

tff(c_16537,plain,
    ( ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_16186]) ).

tff(c_16539,plain,
    n8 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_16537]) ).

tff(c_16602,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_16539,c_1334]) ).

tff(c_1014,plain,
    sum(n7,n0) = n7,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_16601,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_16539,c_1376]) ).

tff(c_16632,plain,
    sum(sum(n19,n9),sum(pred('#skF_2'),n0)) != sum(n19,sum(pred('#skF_2'),n9)),
    inference(demodulation,[status(thm),theory(equality)],[c_16601,c_16601,c_11617]) ).

tff(c_16633,plain,
    sum(n7,sum(pred('#skF_2'),n0)) != sum(n19,sum(pred('#skF_2'),n9)),
    inference(demodulation,[status(thm),theory(equality)],[c_492,c_16632]) ).

tff(c_16887,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_478,c_996,c_16602,c_1000,c_1014,c_16602,c_16633]) ).

tff(c_16888,plain,
    ( ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_16537]) ).

tff(c_16890,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_16888]) ).

tff(c_16955,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_16890,c_1326]) ).

tff(c_16953,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_16890,c_1368]) ).

tff(c_16987,plain,
    sum(sum(n19,n13),sum(pred('#skF_2'),n0)) != sum(n19,sum(pred('#skF_2'),n13)),
    inference(demodulation,[status(thm),theory(equality)],[c_16953,c_16953,c_11617]) ).

tff(c_16988,plain,
    sum(n19,sum(pred('#skF_2'),n13)) != sum(n11,sum(pred('#skF_2'),n0)),
    inference(demodulation,[status(thm),theory(equality)],[c_484,c_16987]) ).

tff(c_17238,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_824,c_846,c_16955,c_504,c_820,c_16955,c_16988]) ).

tff(c_17239,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_16888]) ).

tff(c_17241,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_17239]) ).

tff(c_17305,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_17241,c_1332]) ).

tff(c_972,plain,
    sum(n8,n0) = n8,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_17303,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_17241,c_1374]) ).

tff(c_17330,plain,
    sum(sum(n19,n10),sum(pred('#skF_2'),n0)) != sum(n19,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_17303,c_17303,c_11617]) ).

tff(c_17331,plain,
    sum(n8,sum(pred('#skF_2'),n0)) != sum(n19,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_490,c_17330]) ).

tff(c_17589,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_474,c_952,c_17305,c_956,c_972,c_17305,c_17331]) ).

tff(c_17590,plain,
    ( ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_17239]) ).

tff(c_17592,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_17590]) ).

tff(c_17657,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_17592,c_1328]) ).

tff(c_17654,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_17592,c_1370]) ).

tff(c_17681,plain,
    sum(sum(n19,n12),sum(pred('#skF_2'),n0)) != sum(n19,sum(pred('#skF_2'),n12)),
    inference(demodulation,[status(thm),theory(equality)],[c_17654,c_17654,c_11617]) ).

tff(c_17682,plain,
    sum(n19,sum(pred('#skF_2'),n12)) != sum(n10,sum(pred('#skF_2'),n0)),
    inference(demodulation,[status(thm),theory(equality)],[c_486,c_17681]) ).

tff(c_17940,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_10686,c_888,c_17657,c_10697,c_864,c_17657,c_17682]) ).

tff(c_17941,plain,
    n10 = '#skF_2',
    inference(splitRight,[status(thm)],[c_17590]) ).

tff(c_18007,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_17941,c_1330]) ).

tff(c_930,plain,
    sum(n9,n0) = n9,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_18004,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_17941,c_1372]) ).

tff(c_18039,plain,
    sum(sum(n19,n11),sum(pred('#skF_2'),n0)) != sum(n19,sum(pred('#skF_2'),n11)),
    inference(demodulation,[status(thm),theory(equality)],[c_18004,c_18004,c_11617]) ).

tff(c_18040,plain,
    sum(n9,sum(pred('#skF_2'),n0)) != sum(n19,sum(pred('#skF_2'),n11)),
    inference(demodulation,[status(thm),theory(equality)],[c_488,c_18039]) ).

tff(c_18290,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_10708,c_10740,c_18007,c_912,c_930,c_18007,c_18040]) ).

tff(c_18291,plain,
    ( ( n19 = '#skF_1' )
    | ( n18 = '#skF_1' )
    | ( n17 = '#skF_1' )
    | ( n16 = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_10681]) ).

tff(c_18293,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_18291]) ).

tff(c_18320,plain,
    sum(n11,n11) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_18293,c_824]) ).

tff(c_926,plain,
    sum(n9,n2) = n11,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_884,plain,
    sum(n10,n2) = n12,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_968,plain,
    sum(n8,n2) = n10,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1218,plain,
    sum(n2,n3) = n5,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1192,plain,
    sum(n2,n16) = n18,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1214,plain,
    sum(n2,n5) = n7,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1196,plain,
    sum(n2,n14) = n16,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_758,plain,
    sum(n13,n2) = n15,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1200,plain,
    sum(n2,n12) = n14,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_716,plain,
    sum(n14,n2) = n16,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1204,plain,
    sum(n2,n10) = n12,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1202,plain,
    sum(n2,n11) = n13,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1208,plain,
    sum(n2,n8) = n10,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_632,plain,
    sum(n16,n2) = n18,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1212,plain,
    sum(n2,n6) = n8,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1194,plain,
    sum(n2,n15) = n17,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_18357,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_18293,c_1390]) ).

tff(c_18354,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_18293,c_1348]) ).

tff(c_1186,plain,
    sum(n2,n19) = n0,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_18324,plain,
    sum('#skF_1','#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_18293,c_18293,c_1264]) ).

tff(c_18382,plain,
    ( ( n20 = '#skF_2' )
    | ( n19 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n0 = '#skF_2' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_18293,c_424]) ).

tff(c_18383,plain,
    n0 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_18382]) ).

tff(c_18312,plain,
    sum(n0,'#skF_1') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_18293,c_18293,c_1306]) ).

tff(c_18945,plain,
    sum('#skF_2','#skF_1') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_18383,c_18312]) ).

tff(c_18311,plain,
    sum(n20,n2) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_18293,c_464]) ).

tff(c_18409,plain,
    sum(n2,'#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_18383,c_1224]) ).

tff(c_18346,plain,
    sum(n20,'#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_18293,c_466]) ).

tff(c_18771,plain,
    sum(n20,'#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_18383,c_18346]) ).

tff(c_18429,plain,
    sum('#skF_2',n2) = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_18383,c_1304]) ).

tff(c_18356,plain,
    succ(n0) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_18293,c_1392]) ).

tff(c_18489,plain,
    succ('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_18383,c_18356]) ).

tff(c_18442,plain,
    pred('#skF_2') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_18383,c_1350]) ).

tff(c_18476,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_18383,c_18354]) ).

tff(c_18467,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_18357,c_18357,c_422]) ).

tff(c_18967,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_18324,c_18945,c_18311,c_18409,c_18771,c_18429,c_18489,c_18489,c_18442,c_18442,c_18476,c_18476,c_18467]) ).

tff(c_18968,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( 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' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n19 = '#skF_2' )
    | ( n20 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_18382]) ).

tff(c_19228,plain,
    n20 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_18968]) ).

tff(c_19292,plain,
    succ('#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_19228,c_1352]) ).

tff(c_19293,plain,
    pred('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_19228,c_1310]) ).

tff(c_18974,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_18357,c_18357,c_422]) ).

tff(c_19227,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_1304,c_18354,c_18354,c_18974]) ).

tff(c_19317,plain,
    sum(sum(n0,succ('#skF_2')),sum(n19,n2)) != sum(n2,sum(n19,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_19293,c_19293,c_19227]) ).

tff(c_19318,plain,
    sum(sum(n0,succ('#skF_2')),n0) != sum(n2,sum(n19,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_506,c_19317]) ).

tff(c_19576,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1186,c_510,c_19292,c_1308,c_1308,c_19292,c_19318]) ).

tff(c_19577,plain,
    ( ( n19 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_18968]) ).

tff(c_19579,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_19577]) ).

tff(c_19581,plain,
    sum(sum(n0,succ('#skF_1')),sum(pred('#skF_1'),n2)) != sum(n2,sum(pred('#skF_1'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_19579,c_19579,c_19579,c_19579,c_19227]) ).

tff(c_19585,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1304,c_18357,c_18357,c_18354,c_18354,c_19581]) ).

tff(c_19586,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' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n19 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_19577]) ).

tff(c_19588,plain,
    n19 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_19586]) ).

tff(c_1190,plain,
    sum(n2,n17) = n19,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_19604,plain,
    sum(n2,n17) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_19588,c_1190]) ).

tff(c_19619,plain,
    sum(n20,n20) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_19588,c_428]) ).

tff(c_19650,plain,
    succ('#skF_2') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_19588,c_1354]) ).

tff(c_548,plain,
    sum(n18,n2) = n20,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_19652,plain,
    pred('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_19588,c_1312]) ).

tff(c_19681,plain,
    sum(sum(n0,succ('#skF_2')),sum(n18,n2)) != sum(n2,sum(n18,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_19652,c_19652,c_19227]) ).

tff(c_19682,plain,
    sum(sum(n0,succ('#skF_2')),n20) != sum(n2,sum(n18,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_548,c_19681]) ).

tff(c_19936,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_19604,c_19619,c_512,c_19650,c_1268,c_19650,c_19682]) ).

tff(c_19937,plain,
    ( ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_19586]) ).

tff(c_19939,plain,
    n2 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_19937]) ).

tff(c_1262,plain,
    sum(n1,n2) = n3,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_18322,plain,
    sum('#skF_1',n2) = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_18293,c_1262]) ).

tff(c_19943,plain,
    sum('#skF_1','#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_19939,c_18322]) ).

tff(c_19967,plain,
    sum('#skF_2',n4) = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_19939,c_1216]) ).

tff(c_18338,plain,
    sum('#skF_1',n3) = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_18293,c_1260]) ).

tff(c_18355,plain,
    pred(n2) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_18293,c_1346]) ).

tff(c_19946,plain,
    pred('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_19939,c_18355]) ).

tff(c_20005,plain,
    succ('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_19939,c_1388]) ).

tff(c_19940,plain,
    sum(sum(n0,succ('#skF_2')),sum(pred('#skF_2'),'#skF_2')) != sum('#skF_2',sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_19939,c_19939,c_19227]) ).

tff(c_20286,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1176,c_19943,c_19967,c_18338,c_19946,c_19946,c_20005,c_1302,c_20005,c_19940]) ).

tff(c_20287,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' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_19937]) ).

tff(c_20289,plain,
    n18 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_20287]) ).

tff(c_20351,plain,
    succ('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_20289,c_1356]) ).

tff(c_590,plain,
    sum(n17,n2) = n19,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_20354,plain,
    pred('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_20289,c_1314]) ).

tff(c_20378,plain,
    sum(sum(n0,succ('#skF_2')),sum(n17,n2)) != sum(n2,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_20354,c_20354,c_19227]) ).

tff(c_20379,plain,
    sum(sum(n0,succ('#skF_2')),n19) != sum(n2,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_590,c_20378]) ).

tff(c_20637,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1194,c_556,c_20351,c_472,c_1270,c_20351,c_20379]) ).

tff(c_20638,plain,
    ( ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_20287]) ).

tff(c_20640,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_20638]) ).

tff(c_20702,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_20640,c_1344]) ).

tff(c_20705,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_20640,c_1386]) ).

tff(c_20729,plain,
    sum(sum(n0,n4),sum(pred('#skF_2'),n2)) != sum(n2,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_20705,c_20705,c_19227]) ).

tff(c_20730,plain,
    sum(n4,sum(pred('#skF_2'),n2)) != sum(n2,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_1300,c_20729]) ).

tff(c_20988,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1212,c_1216,c_20702,c_1132,c_1220,c_20702,c_20730]) ).

tff(c_20989,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' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_20638]) ).

tff(c_20991,plain,
    n17 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_20989]) ).

tff(c_21054,plain,
    pred('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_20991,c_1316]) ).

tff(c_1198,plain,
    sum(n2,n13) = n15,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_21053,plain,
    succ('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_20991,c_1358]) ).

tff(c_21088,plain,
    sum(sum(n0,n18),sum(pred('#skF_2'),n2)) != sum(n2,sum(pred('#skF_2'),n18)),
    inference(demodulation,[status(thm),theory(equality)],[c_21053,c_21053,c_19227]) ).

tff(c_21089,plain,
    sum(n2,sum(pred('#skF_2'),n18)) != sum(n18,sum(pred('#skF_2'),n2)),
    inference(demodulation,[status(thm),theory(equality)],[c_1272,c_21088]) ).

tff(c_21339,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_632,c_21054,c_1198,c_600,c_21054,c_21089]) ).

tff(c_21340,plain,
    ( ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_20989]) ).

tff(c_21342,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_21340]) ).

tff(c_21406,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_21342,c_1342]) ).

tff(c_1178,plain,
    sum(n3,n2) = n5,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_21404,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_21342,c_1384]) ).

tff(c_21435,plain,
    sum(sum(n0,n5),sum(pred('#skF_2'),n2)) != sum(n2,sum(pred('#skF_2'),n5)),
    inference(demodulation,[status(thm),theory(equality)],[c_21404,c_21404,c_19227]) ).

tff(c_21436,plain,
    sum(n5,sum(pred('#skF_2'),n2)) != sum(n2,sum(pred('#skF_2'),n5)),
    inference(demodulation,[status(thm),theory(equality)],[c_1298,c_21435]) ).

tff(c_21690,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1208,c_1172,c_21406,c_1088,c_1178,c_21406,c_21436]) ).

tff(c_21691,plain,
    ( ( 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' )
    | ( n16 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_21340]) ).

tff(c_21693,plain,
    n16 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_21691]) ).

tff(c_21757,plain,
    succ('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_21693,c_1360]) ).

tff(c_674,plain,
    sum(n15,n2) = n17,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_21755,plain,
    pred('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_21693,c_1318]) ).

tff(c_21786,plain,
    sum(sum(n0,succ('#skF_2')),sum(n15,n2)) != sum(n2,sum(n15,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_21755,c_21755,c_19227]) ).

tff(c_21787,plain,
    sum(sum(n0,succ('#skF_2')),n17) != sum(n2,sum(n15,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_674,c_21786]) ).

tff(c_22041,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1202,c_644,c_21757,c_560,c_1274,c_21757,c_21787]) ).

tff(c_22042,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' ) ),
    inference(splitRight,[status(thm)],[c_21691]) ).

tff(c_22044,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_22042]) ).

tff(c_22106,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_22044,c_1382]) ).

tff(c_1136,plain,
    sum(n4,n2) = n6,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_22108,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_22044,c_1340]) ).

tff(c_22137,plain,
    sum(sum(n0,succ('#skF_2')),sum(n4,n2)) != sum(n2,sum(n4,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_22108,c_22108,c_19227]) ).

tff(c_22138,plain,
    sum(sum(n0,succ('#skF_2')),n6) != sum(n2,sum(n4,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1136,c_22137]) ).

tff(c_22392,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1204,c_1128,c_22106,c_1044,c_1296,c_22106,c_22138]) ).

tff(c_22393,plain,
    ( ( 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_22042]) ).

tff(c_22395,plain,
    n15 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_22393]) ).

tff(c_22457,plain,
    pred('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_22395,c_1320]) ).

tff(c_1206,plain,
    sum(n2,n9) = n11,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_22460,plain,
    succ('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_22395,c_1362]) ).

tff(c_22484,plain,
    sum(sum(n0,n16),sum(pred('#skF_2'),n2)) != sum(n2,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_22460,c_22460,c_19227]) ).

tff(c_22485,plain,
    sum(n2,sum(pred('#skF_2'),n16)) != sum(n16,sum(pred('#skF_2'),n2)),
    inference(demodulation,[status(thm),theory(equality)],[c_1276,c_22484]) ).

tff(c_22743,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_604,c_716,c_22457,c_1206,c_688,c_22457,c_22485]) ).

tff(c_22744,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' ) ),
    inference(splitRight,[status(thm)],[c_22393]) ).

tff(c_22746,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_22744]) ).

tff(c_22809,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_22746,c_1338]) ).

tff(c_1094,plain,
    sum(n5,n2) = n7,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_22811,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_22746,c_1380]) ).

tff(c_22835,plain,
    sum(sum(n0,n7),sum(pred('#skF_2'),n2)) != sum(n2,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_22811,c_22811,c_19227]) ).

tff(c_22836,plain,
    sum(n7,sum(pred('#skF_2'),n2)) != sum(n2,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_1294,c_22835]) ).

tff(c_23094,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1200,c_1084,c_22809,c_1000,c_1094,c_22809,c_22836]) ).

tff(c_23095,plain,
    ( ( 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_22744]) ).

tff(c_23097,plain,
    n14 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_23095]) ).

tff(c_23160,plain,
    pred('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_23097,c_1322]) ).

tff(c_1210,plain,
    sum(n2,n7) = n9,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_23162,plain,
    succ('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_23097,c_1364]) ).

tff(c_23186,plain,
    sum(sum(n0,n15),sum(pred('#skF_2'),n2)) != sum(n2,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_23162,c_23162,c_19227]) ).

tff(c_23187,plain,
    sum(n2,sum(pred('#skF_2'),n15)) != sum(n15,sum(pred('#skF_2'),n2)),
    inference(demodulation,[status(thm),theory(equality)],[c_1278,c_23186]) ).

tff(c_23445,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_648,c_758,c_23160,c_1210,c_732,c_23160,c_23187]) ).

tff(c_23446,plain,
    ( ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_23095]) ).

tff(c_23448,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_23446]) ).

tff(c_23510,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_23448,c_1336]) ).

tff(c_1052,plain,
    sum(n6,n2) = n8,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_23513,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_23448,c_1378]) ).

tff(c_23537,plain,
    sum(sum(n0,n8),sum(pred('#skF_2'),n2)) != sum(n2,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_23513,c_23513,c_19227]) ).

tff(c_23538,plain,
    sum(n8,sum(pred('#skF_2'),n2)) != sum(n2,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_1292,c_23537]) ).

tff(c_23796,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1196,c_1040,c_23510,c_956,c_1052,c_23510,c_23538]) ).

tff(c_23797,plain,
    ( ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_23446]) ).

tff(c_23799,plain,
    n13 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_23797]) ).

tff(c_23862,plain,
    succ('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_23799,c_1366]) ).

tff(c_800,plain,
    sum(n12,n2) = n14,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_23864,plain,
    pred('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_23799,c_1324]) ).

tff(c_23888,plain,
    sum(sum(n0,succ('#skF_2')),sum(n12,n2)) != sum(n2,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_23864,c_23864,c_19227]) ).

tff(c_23889,plain,
    sum(sum(n0,succ('#skF_2')),n14) != sum(n2,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_800,c_23888]) ).

tff(c_24147,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1214,c_776,c_23862,c_692,c_1280,c_23862,c_23889]) ).

tff(c_24148,plain,
    ( ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_23797]) ).

tff(c_24150,plain,
    n8 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_24148]) ).

tff(c_24212,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_24150,c_1376]) ).

tff(c_1010,plain,
    sum(n7,n2) = n9,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_24213,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_24150,c_1334]) ).

tff(c_24247,plain,
    sum(sum(n0,succ('#skF_2')),sum(n7,n2)) != sum(n2,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_24213,c_24213,c_19227]) ).

tff(c_24248,plain,
    sum(sum(n0,succ('#skF_2')),n9) != sum(n2,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1010,c_24247]) ).

tff(c_24498,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1192,c_996,c_24212,c_912,c_1290,c_24212,c_24248]) ).

tff(c_24499,plain,
    ( ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_24148]) ).

tff(c_24501,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_24499]) ).

tff(c_24564,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_24501,c_1368]) ).

tff(c_842,plain,
    sum(n11,n2) = n13,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_24566,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_24501,c_1326]) ).

tff(c_24594,plain,
    sum(sum(n0,succ('#skF_2')),sum(n11,n2)) != sum(n2,sum(n11,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_24566,c_24566,c_19227]) ).

tff(c_24595,plain,
    sum(sum(n0,succ('#skF_2')),n13) != sum(n2,sum(n11,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_842,c_24594]) ).

tff(c_24849,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1218,c_820,c_24564,c_736,c_1282,c_24564,c_24595]) ).

tff(c_24850,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_24499]) ).

tff(c_24852,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_24850]) ).

tff(c_24916,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_24852,c_1332]) ).

tff(c_1188,plain,
    sum(n2,n18) = n20,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_24914,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_24852,c_1374]) ).

tff(c_24941,plain,
    sum(sum(n0,n10),sum(pred('#skF_2'),n2)) != sum(n2,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_24914,c_24914,c_19227]) ).

tff(c_24942,plain,
    sum(n2,sum(pred('#skF_2'),n10)) != sum(n10,sum(pred('#skF_2'),n2)),
    inference(demodulation,[status(thm),theory(equality)],[c_1288,c_24941]) ).

tff(c_25200,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_868,c_968,c_24916,c_1188,c_952,c_24916,c_24942]) ).

tff(c_25201,plain,
    ( ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_24850]) ).

tff(c_25203,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_25201]) ).

tff(c_25268,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_25203,c_1328]) ).

tff(c_18327,plain,
    sum(n2,'#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_18293,c_1222]) ).

tff(c_18321,plain,
    sum(n10,n12) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_18293,c_864]) ).

tff(c_25265,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_25203,c_1370]) ).

tff(c_25292,plain,
    sum(sum(n0,n12),sum(pred('#skF_2'),n2)) != sum(n2,sum(pred('#skF_2'),n12)),
    inference(demodulation,[status(thm),theory(equality)],[c_25265,c_25265,c_19227]) ).

tff(c_25293,plain,
    sum(n2,sum(pred('#skF_2'),n12)) != sum(n12,sum(pred('#skF_2'),n2)),
    inference(demodulation,[status(thm),theory(equality)],[c_1284,c_25292]) ).

tff(c_25551,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_780,c_884,c_25268,c_18327,c_18321,c_25268,c_25293]) ).

tff(c_25552,plain,
    n10 = '#skF_2',
    inference(splitRight,[status(thm)],[c_25201]) ).

tff(c_25618,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_25552,c_1330]) ).

tff(c_18350,plain,
    sum(n2,n20) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_18293,c_1184]) ).

tff(c_25615,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_25552,c_1372]) ).

tff(c_25650,plain,
    sum(sum(n0,n11),sum(pred('#skF_2'),n2)) != sum(n2,sum(pred('#skF_2'),n11)),
    inference(demodulation,[status(thm),theory(equality)],[c_25615,c_25615,c_19227]) ).

tff(c_25651,plain,
    sum(n2,sum(pred('#skF_2'),n11)) != sum(n11,sum(pred('#skF_2'),n2)),
    inference(demodulation,[status(thm),theory(equality)],[c_1286,c_25650]) ).

tff(c_25901,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_18320,c_926,c_25618,c_18350,c_908,c_25618,c_25651]) ).

tff(c_25902,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' )
    | ( n15 = '#skF_1' )
    | ( n16 = '#skF_1' )
    | ( n17 = '#skF_1' )
    | ( n18 = '#skF_1' )
    | ( n19 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_18291]) ).

tff(c_25904,plain,
    n19 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_25902]) ).

tff(c_25967,plain,
    pred('#skF_1') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_25904,c_1312]) ).

tff(c_25965,plain,
    succ('#skF_1') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_25904,c_1354]) ).

tff(c_25951,plain,
    sum(n17,n2) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_25904,c_590]) ).

tff(c_25926,plain,
    sum('#skF_1','#skF_1') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_25904,c_25904,c_472]) ).

tff(c_25931,plain,
    sum(n20,n20) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_25904,c_428]) ).

tff(c_25953,plain,
    sum(n18,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_25904,c_550]) ).

tff(c_25993,plain,
    ( ( n20 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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(demodulation,[status(thm),theory(equality)],[c_25904,c_424]) ).

tff(c_25994,plain,
    n0 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_25993]) ).

tff(c_26033,plain,
    sum(n17,'#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_25994,c_594]) ).

tff(c_26046,plain,
    sum(n20,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_25994,c_466]) ).

tff(c_26056,plain,
    succ('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_25994,c_1392]) ).

tff(c_26054,plain,
    pred('#skF_2') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_25994,c_1350]) ).

tff(c_26080,plain,
    sum(sum(n18,succ('#skF_2')),sum(pred('#skF_2'),succ('#skF_1'))) != sum(sum(n18,succ('#skF_1')),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_25967,c_25967,c_422]) ).

tff(c_26586,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_25926,c_25931,c_25953,c_26033,c_26046,c_26056,c_26056,c_512,c_25965,c_25965,c_26054,c_26054,c_26080]) ).

tff(c_26587,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' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n20 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_25993]) ).

tff(c_26847,plain,
    n20 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_26587]) ).

tff(c_25934,plain,
    sum('#skF_1',n20) = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_25904,c_470]) ).

tff(c_26853,plain,
    sum('#skF_1','#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_26847,c_25934]) ).

tff(c_25952,plain,
    sum(n17,'#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_25904,c_556]) ).

tff(c_25920,plain,
    sum('#skF_1',n0) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_25904,c_25904,c_510]) ).

tff(c_25968,plain,
    pred(n20) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_25904,c_1310]) ).

tff(c_26855,plain,
    pred('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_26847,c_25968]) ).

tff(c_26913,plain,
    succ('#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_26847,c_1352]) ).

tff(c_26589,plain,
    sum(sum(n18,succ('#skF_2')),sum(pred('#skF_2'),succ('#skF_1'))) != sum(sum(n18,succ('#skF_1')),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_25967,c_25967,c_422]) ).

tff(c_26846,plain,
    sum(sum(n18,succ('#skF_2')),sum(pred('#skF_2'),n20)) != sum(n17,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_512,c_25965,c_25965,c_26589]) ).

tff(c_26848,plain,
    sum(sum(n18,succ('#skF_2')),sum(pred('#skF_2'),'#skF_2')) != sum(n17,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_26847,c_26846]) ).

tff(c_27194,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_26853,c_25952,c_25920,c_26855,c_26855,c_26913,c_552,c_26913,c_26848]) ).

tff(c_27195,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_26587]) ).

tff(c_27197,plain,
    n1 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_27195]) ).

tff(c_27259,plain,
    pred('#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_27197,c_1348]) ).

tff(c_27262,plain,
    succ('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_27197,c_1390]) ).

tff(c_27286,plain,
    sum(sum(n18,n2),sum(pred('#skF_2'),n20)) != sum(n17,sum(pred('#skF_2'),n2)),
    inference(demodulation,[status(thm),theory(equality)],[c_27262,c_27262,c_26846]) ).

tff(c_27287,plain,
    sum(n20,sum(pred('#skF_2'),n20)) != sum(n17,sum(pred('#skF_2'),n2)),
    inference(demodulation,[status(thm),theory(equality)],[c_548,c_27286]) ).

tff(c_27545,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_25951,c_1304,c_27259,c_25931,c_1268,c_27259,c_27287]) ).

tff(c_27546,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' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_27195]) ).

tff(c_27548,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_27546]) ).

tff(c_27551,plain,
    sum(sum(n18,succ('#skF_1')),sum(pred('#skF_1'),n20)) != sum(n17,sum(pred('#skF_1'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_27548,c_27548,c_27548,c_27548,c_26846]) ).

tff(c_27555,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_512,c_25967,c_25967,c_25965,c_25965,c_27551]) ).

tff(c_27556,plain,
    ( ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_27546]) ).

tff(c_27558,plain,
    n2 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_27556]) ).

tff(c_27622,plain,
    succ('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_27558,c_1388]) ).

tff(c_546,plain,
    sum(n18,n3) = n0,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1226,plain,
    sum(n1,n20) = n0,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_27621,plain,
    pred('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_27558,c_1346]) ).

tff(c_27655,plain,
    sum(sum(n18,succ('#skF_2')),sum(n1,n20)) != sum(n17,sum(n1,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_27621,c_27621,c_26846]) ).

tff(c_27656,plain,
    sum(sum(n18,succ('#skF_2')),n0) != sum(n17,sum(n1,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1226,c_27655]) ).

tff(c_27906,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_586,c_1260,c_27622,c_1308,c_546,c_27622,c_27656]) ).

tff(c_27907,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' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_27556]) ).

tff(c_27909,plain,
    n18 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_27907]) ).

tff(c_514,plain,
    sum(n18,n19) = n16,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_25919,plain,
    sum(n18,'#skF_1') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_25904,c_514]) ).

tff(c_27913,plain,
    sum('#skF_2','#skF_1') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_27909,c_25919]) ).

tff(c_564,plain,
    sum(n17,n15) = n11,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_25966,plain,
    succ(n18) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_25904,c_1356]) ).

tff(c_27917,plain,
    succ('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_27909,c_25966]) ).

tff(c_27975,plain,
    pred('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_27909,c_1314]) ).

tff(c_27910,plain,
    sum(sum('#skF_2',succ('#skF_2')),sum(pred('#skF_2'),n20)) != sum(n17,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_27909,c_26846]) ).

tff(c_28256,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_604,c_27913,c_564,c_25952,c_27917,c_27917,c_27975,c_554,c_27975,c_27910]) ).

tff(c_28257,plain,
    ( ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_27907]) ).

tff(c_28259,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_28257]) ).

tff(c_28321,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_28259,c_1344]) ).

tff(c_582,plain,
    sum(n17,n6) = n2,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_544,plain,
    sum(n18,n4) = n1,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_28324,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_28259,c_1386]) ).

tff(c_28348,plain,
    sum(sum(n18,n4),sum(pred('#skF_2'),n20)) != sum(n17,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_28324,c_28324,c_26846]) ).

tff(c_28349,plain,
    sum(n17,sum(pred('#skF_2'),n4)) != sum(n1,sum(pred('#skF_2'),n20)),
    inference(demodulation,[status(thm),theory(equality)],[c_544,c_28348]) ).

tff(c_28607,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1264,c_1184,c_28321,c_582,c_1216,c_28321,c_28349]) ).

tff(c_28608,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' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_28257]) ).

tff(c_28610,plain,
    n17 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_28608]) ).

tff(c_568,plain,
    sum(n17,n13) = n9,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_28660,plain,
    sum('#skF_2',n13) = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_28610,c_568]) ).

tff(c_28673,plain,
    succ('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_28610,c_1358]) ).

tff(c_28674,plain,
    pred('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_28610,c_1316]) ).

tff(c_28611,plain,
    sum(sum(n18,succ('#skF_2')),sum(pred('#skF_2'),n20)) != sum('#skF_2',sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_28610,c_26846]) ).

tff(c_28957,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_28660,c_600,c_28673,c_648,c_516,c_28673,c_28674,c_596,c_28674,c_28611]) ).

tff(c_28958,plain,
    ( ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_28608]) ).

tff(c_28960,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_28958]) ).

tff(c_578,plain,
    sum(n17,n8) = n4,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_29007,plain,
    sum(n17,n8) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_28960,c_578]) ).

tff(c_28995,plain,
    sum(n2,n2) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_28960,c_1220]) ).

tff(c_29022,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_28960,c_1384]) ).

tff(c_542,plain,
    sum(n18,n5) = n2,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_29024,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_28960,c_1342]) ).

tff(c_29053,plain,
    sum(sum(n18,succ('#skF_2')),sum(n3,n20)) != sum(n17,sum(n3,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_29024,c_29024,c_26846]) ).

tff(c_29054,plain,
    sum(sum(n18,succ('#skF_2')),n2) != sum(n17,sum(n3,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1142,c_29053]) ).

tff(c_29308,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_29007,c_28995,c_1172,c_29022,c_542,c_29022,c_29054]) ).

tff(c_29309,plain,
    ( ( 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' )
    | ( n16 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_28958]) ).

tff(c_29311,plain,
    n16 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_29309]) ).

tff(c_29375,plain,
    succ('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_29311,c_1360]) ).

tff(c_518,plain,
    sum(n18,n17) = n14,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_29373,plain,
    pred('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_29311,c_1318]) ).

tff(c_29404,plain,
    sum(sum(n18,succ('#skF_2')),sum(n15,n20)) != sum(n17,sum(n15,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_29373,c_29373,c_26846]) ).

tff(c_29405,plain,
    sum(sum(n18,succ('#skF_2')),n14) != sum(n17,sum(n15,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_638,c_29404]) ).

tff(c_29659,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_572,c_644,c_29375,c_692,c_518,c_29375,c_29405]) ).

tff(c_29660,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' ) ),
    inference(splitRight,[status(thm)],[c_29309]) ).

tff(c_29662,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_29660]) ).

tff(c_29726,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_29662,c_1340]) ).

tff(c_1100,plain,
    sum(n4,n20) = n3,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_540,plain,
    sum(n18,n6) = n3,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_29724,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_29662,c_1382]) ).

tff(c_29755,plain,
    sum(sum(n18,n6),sum(pred('#skF_2'),n20)) != sum(n17,sum(pred('#skF_2'),n6)),
    inference(demodulation,[status(thm),theory(equality)],[c_29724,c_29724,c_26846]) ).

tff(c_29756,plain,
    sum(n3,sum(pred('#skF_2'),n20)) != sum(n17,sum(pred('#skF_2'),n6)),
    inference(demodulation,[status(thm),theory(equality)],[c_540,c_29755]) ).

tff(c_30010,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_574,c_1128,c_29726,c_1176,c_1100,c_29726,c_29756]) ).

tff(c_30011,plain,
    ( ( 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_29660]) ).

tff(c_30013,plain,
    n15 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_30011]) ).

tff(c_30075,plain,
    pred('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_30013,c_1320]) ).

tff(c_576,plain,
    sum(n17,n9) = n5,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_520,plain,
    sum(n18,n16) = n13,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_30078,plain,
    succ('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_30013,c_1362]) ).

tff(c_30102,plain,
    sum(sum(n18,n16),sum(pred('#skF_2'),n20)) != sum(n17,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_30078,c_30078,c_26846]) ).

tff(c_30103,plain,
    sum(n17,sum(pred('#skF_2'),n16)) != sum(n13,sum(pred('#skF_2'),n20)),
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_30102]) ).

tff(c_30361,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_736,c_680,c_30075,c_576,c_688,c_30075,c_30103]) ).

tff(c_30362,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' ) ),
    inference(splitRight,[status(thm)],[c_30011]) ).

tff(c_30364,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_30362]) ).

tff(c_30427,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_30364,c_1338]) ).

tff(c_1058,plain,
    sum(n5,n20) = n4,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_538,plain,
    sum(n18,n7) = n4,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_30429,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_30364,c_1380]) ).

tff(c_30453,plain,
    sum(sum(n18,n7),sum(pred('#skF_2'),n20)) != sum(n17,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_30429,c_30429,c_26846]) ).

tff(c_30454,plain,
    sum(n4,sum(pred('#skF_2'),n20)) != sum(n17,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_538,c_30453]) ).

tff(c_30712,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_570,c_1084,c_30427,c_1132,c_1058,c_30427,c_30454]) ).

tff(c_30713,plain,
    ( ( 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_30362]) ).

tff(c_30715,plain,
    n14 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_30713]) ).

tff(c_30778,plain,
    pred('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_30715,c_1322]) ).

tff(c_580,plain,
    sum(n17,n7) = n3,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_522,plain,
    sum(n18,n15) = n12,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_30780,plain,
    succ('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_30715,c_1364]) ).

tff(c_30804,plain,
    sum(sum(n18,n15),sum(pred('#skF_2'),n20)) != sum(n17,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_30780,c_30780,c_26846]) ).

tff(c_30805,plain,
    sum(n17,sum(pred('#skF_2'),n15)) != sum(n12,sum(pred('#skF_2'),n20)),
    inference(demodulation,[status(thm),theory(equality)],[c_522,c_30804]) ).

tff(c_31063,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_780,c_722,c_30778,c_580,c_732,c_30778,c_30805]) ).

tff(c_31064,plain,
    ( ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_30713]) ).

tff(c_31066,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_31064]) ).

tff(c_31128,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_31066,c_1336]) ).

tff(c_536,plain,
    sum(n18,n8) = n5,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_31131,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_31066,c_1378]) ).

tff(c_31155,plain,
    sum(sum(n18,n8),sum(pred('#skF_2'),n20)) != sum(n17,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_31131,c_31131,c_26846]) ).

tff(c_31156,plain,
    sum(n5,sum(pred('#skF_2'),n20)) != sum(n17,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_536,c_31155]) ).

tff(c_31414,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_566,c_1040,c_31128,c_1088,c_1016,c_31128,c_31156]) ).

tff(c_31415,plain,
    ( ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_31064]) ).

tff(c_31417,plain,
    n13 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_31415]) ).

tff(c_31480,plain,
    succ('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_31417,c_1366]) ).

tff(c_524,plain,
    sum(n18,n14) = n11,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_31482,plain,
    pred('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_31417,c_1324]) ).

tff(c_31506,plain,
    sum(sum(n18,succ('#skF_2')),sum(n12,n20)) != sum(n17,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_31482,c_31482,c_26846]) ).

tff(c_31507,plain,
    sum(sum(n18,succ('#skF_2')),n11) != sum(n17,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_764,c_31506]) ).

tff(c_31765,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_584,c_776,c_31480,c_824,c_524,c_31480,c_31507]) ).

tff(c_31766,plain,
    ( ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_31415]) ).

tff(c_31768,plain,
    n8 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_31766]) ).

tff(c_31831,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_31768,c_1334]) ).

tff(c_974,plain,
    sum(n7,n20) = n6,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_534,plain,
    sum(n18,n9) = n6,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_31830,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_31768,c_1376]) ).

tff(c_31861,plain,
    sum(sum(n18,n9),sum(pred('#skF_2'),n20)) != sum(n17,sum(pred('#skF_2'),n9)),
    inference(demodulation,[status(thm),theory(equality)],[c_31830,c_31830,c_26846]) ).

tff(c_31862,plain,
    sum(n6,sum(pred('#skF_2'),n20)) != sum(n17,sum(pred('#skF_2'),n9)),
    inference(demodulation,[status(thm),theory(equality)],[c_534,c_31861]) ).

tff(c_32116,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_562,c_996,c_31831,c_1044,c_974,c_31831,c_31862]) ).

tff(c_32117,plain,
    ( ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_31766]) ).

tff(c_32119,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_32117]) ).

tff(c_32184,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_32119,c_1326]) ).

tff(c_588,plain,
    sum(n17,n3) = n20,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_526,plain,
    sum(n18,n13) = n10,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_32182,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_32119,c_1368]) ).

tff(c_32216,plain,
    sum(sum(n18,n13),sum(pred('#skF_2'),n20)) != sum(n17,sum(pred('#skF_2'),n13)),
    inference(demodulation,[status(thm),theory(equality)],[c_32182,c_32182,c_26846]) ).

tff(c_32217,plain,
    sum(n17,sum(pred('#skF_2'),n13)) != sum(n10,sum(pred('#skF_2'),n20)),
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_32216]) ).

tff(c_32467,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_868,c_806,c_32184,c_588,c_820,c_32184,c_32217]) ).

tff(c_32468,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_32117]) ).

tff(c_32470,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_32468]) ).

tff(c_32534,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_32470,c_1332]) ).

tff(c_932,plain,
    sum(n8,n20) = n7,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_532,plain,
    sum(n18,n10) = n7,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_32532,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_32470,c_1374]) ).

tff(c_32559,plain,
    sum(sum(n18,n10),sum(pred('#skF_2'),n20)) != sum(n17,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_32532,c_32532,c_26846]) ).

tff(c_32560,plain,
    sum(n7,sum(pred('#skF_2'),n20)) != sum(n17,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_532,c_32559]) ).

tff(c_32818,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_558,c_952,c_32534,c_1000,c_932,c_32534,c_32560]) ).

tff(c_32819,plain,
    ( ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_32468]) ).

tff(c_32821,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_32819]) ).

tff(c_32886,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_32821,c_1328]) ).

tff(c_848,plain,
    sum(n10,n20) = n9,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_528,plain,
    sum(n18,n12) = n9,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_32883,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_32821,c_1370]) ).

tff(c_32910,plain,
    sum(sum(n18,n12),sum(pred('#skF_2'),n20)) != sum(n17,sum(pred('#skF_2'),n12)),
    inference(demodulation,[status(thm),theory(equality)],[c_32883,c_32883,c_26846]) ).

tff(c_32911,plain,
    sum(n9,sum(pred('#skF_2'),n20)) != sum(n17,sum(pred('#skF_2'),n12)),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_32910]) ).

tff(c_33169,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_592,c_864,c_32886,c_912,c_848,c_32886,c_32911]) ).

tff(c_33170,plain,
    n10 = '#skF_2',
    inference(splitRight,[status(thm)],[c_32819]) ).

tff(c_33236,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_33170,c_1330]) ).

tff(c_890,plain,
    sum(n9,n20) = n8,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_530,plain,
    sum(n18,n11) = n8,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_33233,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_33170,c_1372]) ).

tff(c_33268,plain,
    sum(sum(n18,n11),sum(pred('#skF_2'),n20)) != sum(n17,sum(pred('#skF_2'),n11)),
    inference(demodulation,[status(thm),theory(equality)],[c_33233,c_33233,c_26846]) ).

tff(c_33269,plain,
    sum(n8,sum(pred('#skF_2'),n20)) != sum(n17,sum(pred('#skF_2'),n11)),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_33268]) ).

tff(c_33519,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_554,c_908,c_33236,c_956,c_890,c_33236,c_33269]) ).

tff(c_33520,plain,
    ( ( n18 = '#skF_1' )
    | ( n17 = '#skF_1' )
    | ( n16 = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_25902]) ).

tff(c_33522,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_33520]) ).

tff(c_33585,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_33522,c_1388]) ).

tff(c_33584,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_33522,c_1346]) ).

tff(c_1106,plain,
    sum(n4,n17) = n0,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1102,plain,
    sum(n4,n19) = n2,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_33573,plain,
    sum(n4,n19) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_33522,c_1102]) ).

tff(c_33546,plain,
    sum('#skF_1','#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_33522,c_33522,c_1220]) ).

tff(c_33550,plain,
    sum(n20,n3) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_33522,c_462]) ).

tff(c_33551,plain,
    sum(n1,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_33522,c_1264]) ).

tff(c_33611,plain,
    ( ( n20 = '#skF_2' )
    | ( n19 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n1 = '#skF_2' )
    | ( n0 = '#skF_2' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_33522,c_424]) ).

tff(c_33612,plain,
    n0 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_33611]) ).

tff(c_33622,plain,
    sum(n4,'#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_33612,c_1140]) ).

tff(c_33664,plain,
    sum(n20,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_33612,c_466]) ).

tff(c_33674,plain,
    succ('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_33612,c_1392]) ).

tff(c_33672,plain,
    pred('#skF_2') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_33612,c_1350]) ).

tff(c_33698,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),n3)) != sum(sum(pred('#skF_1'),n3),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_33585,c_33585,c_422]) ).

tff(c_34204,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_33546,c_33550,c_33551,c_33622,c_33664,c_33674,c_33674,c_33672,c_33672,c_1260,c_33584,c_33584,c_33698]) ).

tff(c_34205,plain,
    ( ( n1 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n19 = '#skF_2' )
    | ( n20 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_33611]) ).

tff(c_34465,plain,
    n20 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_34205]) ).

tff(c_34529,plain,
    succ('#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_34465,c_1352]) ).

tff(c_34530,plain,
    pred('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_34465,c_1310]) ).

tff(c_34207,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),n3)) != sum(sum(pred('#skF_1'),n3),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_33585,c_33585,c_422]) ).

tff(c_34464,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_1260,c_33584,c_33584,c_34207]) ).

tff(c_34554,plain,
    sum(sum(n1,succ('#skF_2')),sum(n19,n3)) != sum(n4,sum(n19,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_34530,c_34530,c_34464]) ).

tff(c_34555,plain,
    sum(sum(n1,succ('#skF_2')),n1) != sum(n4,sum(n19,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_504,c_34554]) ).

tff(c_34813,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_33573,c_510,c_34529,c_33551,c_1266,c_34529,c_34555]) ).

tff(c_34814,plain,
    ( ( n19 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n1 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_34205]) ).

tff(c_34816,plain,
    n1 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_34814]) ).

tff(c_33547,plain,
    sum(n1,'#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_33522,c_1262]) ).

tff(c_34819,plain,
    sum('#skF_2','#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_34816,c_33547]) ).

tff(c_33536,plain,
    sum(n4,'#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_33522,c_1136]) ).

tff(c_33570,plain,
    sum(n0,'#skF_1') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_33522,c_33522,c_1304]) ).

tff(c_33586,plain,
    succ(n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_33522,c_1390]) ).

tff(c_34824,plain,
    succ('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_34816,c_33586]) ).

tff(c_34881,plain,
    pred('#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_34816,c_1348]) ).

tff(c_34817,plain,
    sum(sum('#skF_2',succ('#skF_2')),sum(pred('#skF_2'),n3)) != sum(n4,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_34816,c_34464]) ).

tff(c_35163,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1176,c_34819,c_33536,c_33570,c_34824,c_34824,c_34881,c_1302,c_34881,c_34817]) ).

tff(c_35164,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( 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' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n19 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_34814]) ).

tff(c_35166,plain,
    n19 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_35164]) ).

tff(c_35228,plain,
    succ('#skF_2') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_35166,c_1354]) ).

tff(c_35230,plain,
    pred('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_35166,c_1312]) ).

tff(c_35259,plain,
    sum(sum(n1,succ('#skF_2')),sum(n18,n3)) != sum(n4,sum(n18,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_35230,c_35230,c_34464]) ).

tff(c_35260,plain,
    sum(sum(n1,succ('#skF_2')),n0) != sum(n4,sum(n18,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_546,c_35259]) ).

tff(c_35514,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1106,c_512,c_35228,c_1308,c_1226,c_35228,c_35260]) ).

tff(c_35515,plain,
    ( ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_35164]) ).

tff(c_35517,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_35515]) ).

tff(c_35521,plain,
    sum(sum(n1,succ('#skF_1')),sum(pred('#skF_1'),n3)) != sum(n4,sum(pred('#skF_1'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_35517,c_35517,c_35517,c_35517,c_34464]) ).

tff(c_35525,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1260,c_33585,c_33585,c_33584,c_33584,c_35521]) ).

tff(c_35526,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' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_35515]) ).

tff(c_35528,plain,
    n18 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_35526]) ).

tff(c_35590,plain,
    succ('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_35528,c_1356]) ).

tff(c_1228,plain,
    sum(n1,n19) = n20,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_35593,plain,
    pred('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_35528,c_1314]) ).

tff(c_35617,plain,
    sum(sum(n1,succ('#skF_2')),sum(n17,n3)) != sum(n4,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_35593,c_35593,c_34464]) ).

tff(c_35618,plain,
    sum(sum(n1,succ('#skF_2')),n20) != sum(n4,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_588,c_35617]) ).

tff(c_35876,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1110,c_556,c_35590,c_428,c_1228,c_35590,c_35618]) ).

tff(c_35877,plain,
    ( ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_35526]) ).

tff(c_35879,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_35877]) ).

tff(c_33533,plain,
    sum('#skF_1',n3) = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_33522,c_1218]) ).

tff(c_35881,plain,
    sum('#skF_1','#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_35879,c_33533]) ).

tff(c_33542,plain,
    sum('#skF_1',n4) = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_33522,c_1216]) ).

tff(c_33583,plain,
    pred(n3) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_33522,c_1344]) ).

tff(c_35887,plain,
    pred('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_35879,c_33583]) ).

tff(c_35945,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_35879,c_1386]) ).

tff(c_1258,plain,
    sum(n1,n4) = n5,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_35880,plain,
    sum(sum(n1,succ('#skF_2')),sum(pred('#skF_2'),'#skF_2')) != sum(n4,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_35879,c_34464]) ).

tff(c_36226,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1088,c_35881,c_1128,c_33542,c_35887,c_35887,c_35945,c_1258,c_35945,c_35880]) ).

tff(c_36227,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' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_35877]) ).

tff(c_36229,plain,
    n17 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_36227]) ).

tff(c_1114,plain,
    sum(n4,n13) = n17,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_36251,plain,
    sum(n4,n13) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_36229,c_1114]) ).

tff(c_36250,plain,
    sum(n19,n19) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_36229,c_472]) ).

tff(c_36292,plain,
    pred('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_36229,c_1316]) ).

tff(c_1230,plain,
    sum(n1,n18) = n19,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_36291,plain,
    succ('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_36229,c_1358]) ).

tff(c_36326,plain,
    sum(sum(n1,n18),sum(pred('#skF_2'),n3)) != sum(n4,sum(pred('#skF_2'),n18)),
    inference(demodulation,[status(thm),theory(equality)],[c_36291,c_36291,c_34464]) ).

tff(c_36327,plain,
    sum(n4,sum(pred('#skF_2'),n18)) != sum(n19,sum(pred('#skF_2'),n3)),
    inference(demodulation,[status(thm),theory(equality)],[c_1230,c_36326]) ).

tff(c_36577,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_36251,c_36250,c_630,c_36292,c_600,c_36292,c_36327]) ).

tff(c_36578,plain,
    ( ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_36227]) ).

tff(c_36580,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_36578]) ).

tff(c_1124,plain,
    sum(n4,n8) = n12,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_36639,plain,
    sum('#skF_2',n8) = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_36580,c_1124]) ).

tff(c_36643,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_36580,c_1384]) ).

tff(c_1256,plain,
    sum(n1,n5) = n6,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_36645,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_36580,c_1342]) ).

tff(c_36581,plain,
    sum(sum(n1,succ('#skF_2')),sum(pred('#skF_2'),n3)) != sum('#skF_2',sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_36580,c_34464]) ).

tff(c_36927,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_36639,c_1172,c_36643,c_1044,c_1256,c_36643,c_36645,c_1176,c_36645,c_36581]) ).

tff(c_36928,plain,
    ( ( 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' )
    | ( n16 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_36578]) ).

tff(c_36930,plain,
    n16 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_36928]) ).

tff(c_36994,plain,
    succ('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_36930,c_1360]) ).

tff(c_1232,plain,
    sum(n1,n17) = n18,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_672,plain,
    sum(n15,n3) = n18,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_36992,plain,
    pred('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_36930,c_1318]) ).

tff(c_37023,plain,
    sum(sum(n1,succ('#skF_2')),sum(n15,n3)) != sum(n4,sum(n15,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_36992,c_36992,c_34464]) ).

tff(c_37024,plain,
    sum(sum(n1,succ('#skF_2')),n18) != sum(n4,sum(n15,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_672,c_37023]) ).

tff(c_37278,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1118,c_644,c_36994,c_516,c_1232,c_36994,c_37024]) ).

tff(c_37279,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' ) ),
    inference(splitRight,[status(thm)],[c_36928]) ).

tff(c_37281,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_37279]) ).

tff(c_37343,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_37281,c_1382]) ).

tff(c_1254,plain,
    sum(n1,n6) = n7,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_37345,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_37281,c_1340]) ).

tff(c_37374,plain,
    sum(sum(n1,succ('#skF_2')),sum(n4,n3)) != sum(n4,sum(n4,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_37345,c_37345,c_34464]) ).

tff(c_37375,plain,
    sum(sum(n1,succ('#skF_2')),n7) != sum(n4,sum(n4,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1134,c_37374]) ).

tff(c_37629,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1120,c_1128,c_37343,c_1000,c_1254,c_37343,c_37375]) ).

tff(c_37630,plain,
    ( ( 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_37279]) ).

tff(c_37632,plain,
    n15 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_37630]) ).

tff(c_37694,plain,
    pred('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_37632,c_1320]) ).

tff(c_1122,plain,
    sum(n4,n9) = n13,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1234,plain,
    sum(n1,n16) = n17,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_37697,plain,
    succ('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_37632,c_1362]) ).

tff(c_37721,plain,
    sum(sum(n1,n16),sum(pred('#skF_2'),n3)) != sum(n4,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_37697,c_37697,c_34464]) ).

tff(c_37722,plain,
    sum(n4,sum(pred('#skF_2'),n16)) != sum(n17,sum(pred('#skF_2'),n3)),
    inference(demodulation,[status(thm),theory(equality)],[c_1234,c_37721]) ).

tff(c_37980,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_560,c_714,c_37694,c_1122,c_688,c_37694,c_37722]) ).

tff(c_37981,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' ) ),
    inference(splitRight,[status(thm)],[c_37630]) ).

tff(c_37983,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_37981]) ).

tff(c_38046,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_37983,c_1338]) ).

tff(c_1092,plain,
    sum(n5,n3) = n8,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1252,plain,
    sum(n1,n7) = n8,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_38048,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_37983,c_1380]) ).

tff(c_38072,plain,
    sum(sum(n1,n7),sum(pred('#skF_2'),n3)) != sum(n4,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_38048,c_38048,c_34464]) ).

tff(c_38073,plain,
    sum(n8,sum(pred('#skF_2'),n3)) != sum(n4,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_1252,c_38072]) ).

tff(c_38331,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1116,c_1084,c_38046,c_956,c_1092,c_38046,c_38073]) ).

tff(c_38332,plain,
    ( ( 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_37981]) ).

tff(c_38334,plain,
    n14 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_38332]) ).

tff(c_38397,plain,
    pred('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_38334,c_1322]) ).

tff(c_1126,plain,
    sum(n4,n7) = n11,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1236,plain,
    sum(n1,n15) = n16,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_38399,plain,
    succ('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_38334,c_1364]) ).

tff(c_38423,plain,
    sum(sum(n1,n15),sum(pred('#skF_2'),n3)) != sum(n4,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_38399,c_38399,c_34464]) ).

tff(c_38424,plain,
    sum(n4,sum(pred('#skF_2'),n15)) != sum(n16,sum(pred('#skF_2'),n3)),
    inference(demodulation,[status(thm),theory(equality)],[c_1236,c_38423]) ).

tff(c_38682,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_604,c_756,c_38397,c_1126,c_732,c_38397,c_38424]) ).

tff(c_38683,plain,
    ( ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_38332]) ).

tff(c_38685,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_38683]) ).

tff(c_38747,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_38685,c_1336]) ).

tff(c_1050,plain,
    sum(n6,n3) = n9,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1250,plain,
    sum(n1,n8) = n9,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_38750,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_38685,c_1378]) ).

tff(c_38774,plain,
    sum(sum(n1,n8),sum(pred('#skF_2'),n3)) != sum(n4,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_38750,c_38750,c_34464]) ).

tff(c_38775,plain,
    sum(n9,sum(pred('#skF_2'),n3)) != sum(n4,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_1250,c_38774]) ).

tff(c_39033,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1112,c_1040,c_38747,c_912,c_1050,c_38747,c_38775]) ).

tff(c_39034,plain,
    ( ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_38683]) ).

tff(c_39036,plain,
    n13 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_39034]) ).

tff(c_39099,plain,
    succ('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_39036,c_1366]) ).

tff(c_1238,plain,
    sum(n1,n14) = n15,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_798,plain,
    sum(n12,n3) = n15,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_39101,plain,
    pred('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_39036,c_1324]) ).

tff(c_39125,plain,
    sum(sum(n1,succ('#skF_2')),sum(n12,n3)) != sum(n4,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_39101,c_39101,c_34464]) ).

tff(c_39126,plain,
    sum(sum(n1,succ('#skF_2')),n15) != sum(n4,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_798,c_39125]) ).

tff(c_39384,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1130,c_776,c_39099,c_648,c_1238,c_39099,c_39126]) ).

tff(c_39385,plain,
    ( ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_39034]) ).

tff(c_39387,plain,
    n8 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_39385]) ).

tff(c_39449,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_39387,c_1376]) ).

tff(c_1248,plain,
    sum(n1,n9) = n10,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1008,plain,
    sum(n7,n3) = n10,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_39450,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_39387,c_1334]) ).

tff(c_39484,plain,
    sum(sum(n1,succ('#skF_2')),sum(n7,n3)) != sum(n4,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_39450,c_39450,c_34464]) ).

tff(c_39485,plain,
    sum(sum(n1,succ('#skF_2')),n10) != sum(n4,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1008,c_39484]) ).

tff(c_39735,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1108,c_996,c_39449,c_868,c_1248,c_39449,c_39485]) ).

tff(c_39736,plain,
    ( ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_39385]) ).

tff(c_39738,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_39736]) ).

tff(c_39801,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_39738,c_1368]) ).

tff(c_1240,plain,
    sum(n1,n13) = n14,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_39803,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_39738,c_1326]) ).

tff(c_39831,plain,
    sum(sum(n1,succ('#skF_2')),sum(n11,n3)) != sum(n4,sum(n11,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_39803,c_39803,c_34464]) ).

tff(c_39832,plain,
    sum(sum(n1,succ('#skF_2')),n14) != sum(n4,sum(n11,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_840,c_39831]) ).

tff(c_40086,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1134,c_820,c_39801,c_692,c_1240,c_39801,c_39832]) ).

tff(c_40087,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_39736]) ).

tff(c_40089,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_40087]) ).

tff(c_40153,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_40089,c_1332]) ).

tff(c_1246,plain,
    sum(n1,n10) = n11,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_40151,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_40089,c_1374]) ).

tff(c_40178,plain,
    sum(sum(n1,n10),sum(pred('#skF_2'),n3)) != sum(n4,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_40151,c_40151,c_34464]) ).

tff(c_40179,plain,
    sum(n4,sum(pred('#skF_2'),n10)) != sum(n11,sum(pred('#skF_2'),n3)),
    inference(demodulation,[status(thm),theory(equality)],[c_1246,c_40178]) ).

tff(c_40437,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_824,c_966,c_40153,c_1104,c_952,c_40153,c_40179]) ).

tff(c_40438,plain,
    ( ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_40087]) ).

tff(c_40440,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_40438]) ).

tff(c_40505,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_40440,c_1328]) ).

tff(c_1242,plain,
    sum(n1,n12) = n13,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_40502,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_40440,c_1370]) ).

tff(c_40529,plain,
    sum(sum(n1,n12),sum(pred('#skF_2'),n3)) != sum(n4,sum(pred('#skF_2'),n12)),
    inference(demodulation,[status(thm),theory(equality)],[c_40502,c_40502,c_34464]) ).

tff(c_40530,plain,
    sum(n4,sum(pred('#skF_2'),n12)) != sum(n13,sum(pred('#skF_2'),n3)),
    inference(demodulation,[status(thm),theory(equality)],[c_1242,c_40529]) ).

tff(c_40788,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_736,c_882,c_40505,c_1138,c_864,c_40505,c_40530]) ).

tff(c_40789,plain,
    n10 = '#skF_2',
    inference(splitRight,[status(thm)],[c_40438]) ).

tff(c_40855,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_40789,c_1330]) ).

tff(c_1244,plain,
    sum(n1,n11) = n12,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_40852,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_40789,c_1372]) ).

tff(c_40887,plain,
    sum(sum(n1,n11),sum(pred('#skF_2'),n3)) != sum(n4,sum(pred('#skF_2'),n11)),
    inference(demodulation,[status(thm),theory(equality)],[c_40852,c_40852,c_34464]) ).

tff(c_40888,plain,
    sum(n4,sum(pred('#skF_2'),n11)) != sum(n12,sum(pred('#skF_2'),n3)),
    inference(demodulation,[status(thm),theory(equality)],[c_1244,c_40887]) ).

tff(c_41138,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_780,c_924,c_40855,c_1100,c_908,c_40855,c_40888]) ).

tff(c_41139,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' )
    | ( n14 = '#skF_1' )
    | ( n15 = '#skF_1' )
    | ( n16 = '#skF_1' )
    | ( n17 = '#skF_1' )
    | ( n18 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_33520]) ).

tff(c_41141,plain,
    n18 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_41139]) ).

tff(c_642,plain,
    sum(n15,n18) = n12,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_41178,plain,
    sum(n15,'#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_41141,c_642]) ).

tff(c_41197,plain,
    sum(n8,n10) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_41141,c_952]) ).

tff(c_41177,plain,
    sum(n15,n3) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_41141,c_672]) ).

tff(c_646,plain,
    sum(n15,n16) = n10,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_668,plain,
    sum(n15,n5) = n20,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_650,plain,
    sum(n15,n14) = n8,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_724,plain,
    sum(n13,n19) = n11,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_658,plain,
    sum(n15,n10) = n4,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_656,plain,
    sum(n15,n11) = n5,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1144,plain,
    sum(n3,n19) = n1,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_41205,plain,
    pred('#skF_1') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_41141,c_1314]) ).

tff(c_41202,plain,
    succ('#skF_1') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_41141,c_1356]) ).

tff(c_670,plain,
    sum(n15,n4) = n19,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_640,plain,
    sum(n15,n19) = n13,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_41155,plain,
    sum('#skF_1','#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_41141,c_41141,c_516]) ).

tff(c_41182,plain,
    sum(n17,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_41141,c_592]) ).

tff(c_41230,plain,
    ( ( n20 = '#skF_2' )
    | ( n19 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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(demodulation,[status(thm),theory(equality)],[c_41141,c_424]) ).

tff(c_41231,plain,
    n0 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_41230]) ).

tff(c_41267,plain,
    sum(n15,'#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_41231,c_678]) ).

tff(c_41283,plain,
    sum(n20,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_41231,c_466]) ).

tff(c_41162,plain,
    sum(n20,n19) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_41141,c_430]) ).

tff(c_41291,plain,
    pred('#skF_2') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_41231,c_1350]) ).

tff(c_41293,plain,
    succ('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_41231,c_1392]) ).

tff(c_41321,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),n19)) != sum(sum(pred('#skF_1'),n19),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_41202,c_41202,c_422]) ).

tff(c_41823,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_41155,c_41182,c_41267,c_41283,c_41162,c_41291,c_41291,c_41205,c_556,c_41205,c_41293,c_41293,c_41321]) ).

tff(c_41824,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' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n19 = '#skF_2' )
    | ( n20 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_41230]) ).

tff(c_42084,plain,
    n20 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_41824]) ).

tff(c_42148,plain,
    succ('#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_42084,c_1352]) ).

tff(c_42149,plain,
    pred('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_42084,c_1310]) ).

tff(c_41826,plain,
    sum(sum(n17,succ('#skF_2')),sum(pred('#skF_2'),succ('#skF_1'))) != sum(sum(n17,succ('#skF_1')),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_41205,c_41205,c_422]) ).

tff(c_42083,plain,
    sum(sum(n17,succ('#skF_2')),sum(pred('#skF_2'),n19)) != sum(n15,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_556,c_41202,c_41202,c_41826]) ).

tff(c_42173,plain,
    sum(sum(n17,succ('#skF_2')),sum(n19,n19)) != sum(n15,sum(n19,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_42149,c_42149,c_42083]) ).

tff(c_42174,plain,
    sum(sum(n17,succ('#skF_2')),n17) != sum(n15,sum(n19,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_472,c_42173]) ).

tff(c_42432,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_640,c_510,c_42148,c_560,c_594,c_42148,c_42174]) ).

tff(c_42433,plain,
    ( ( n19 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_41824]) ).

tff(c_42435,plain,
    n1 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_42433]) ).

tff(c_42497,plain,
    pred('#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_42435,c_1348]) ).

tff(c_42500,plain,
    succ('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_42435,c_1390]) ).

tff(c_42524,plain,
    sum(sum(n17,n2),sum(pred('#skF_2'),n19)) != sum(n15,sum(pred('#skF_2'),n2)),
    inference(demodulation,[status(thm),theory(equality)],[c_42500,c_42500,c_42083]) ).

tff(c_42525,plain,
    sum(n19,sum(pred('#skF_2'),n19)) != sum(n15,sum(pred('#skF_2'),n2)),
    inference(demodulation,[status(thm),theory(equality)],[c_590,c_42524]) ).

tff(c_42783,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_674,c_1304,c_42497,c_472,c_1270,c_42497,c_42525]) ).

tff(c_42784,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' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n19 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_42433]) ).

tff(c_42786,plain,
    n19 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_42784]) ).

tff(c_41156,plain,
    sum('#skF_1',n19) = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_41141,c_514]) ).

tff(c_42793,plain,
    sum('#skF_1','#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_42786,c_41156]) ).

tff(c_41157,plain,
    sum('#skF_1',n20) = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_41141,c_512]) ).

tff(c_41204,plain,
    pred(n19) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_41141,c_1312]) ).

tff(c_42795,plain,
    pred('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_42786,c_41204]) ).

tff(c_42851,plain,
    succ('#skF_2') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_42786,c_1354]) ).

tff(c_42787,plain,
    sum(sum(n17,succ('#skF_2')),sum(pred('#skF_2'),'#skF_2')) != sum(n15,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_42786,c_42083]) ).

tff(c_43133,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_604,c_42793,c_644,c_41157,c_42795,c_42795,c_42851,c_554,c_42851,c_42787]) ).

tff(c_43134,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_42784]) ).

tff(c_43136,plain,
    n2 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_43134]) ).

tff(c_43200,plain,
    succ('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_43136,c_1388]) ).

tff(c_43199,plain,
    pred('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_43136,c_1346]) ).

tff(c_43229,plain,
    sum(sum(n17,succ('#skF_2')),sum(n1,n19)) != sum(n15,sum(n1,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_43199,c_43199,c_42083]) ).

tff(c_43230,plain,
    sum(sum(n17,succ('#skF_2')),n20) != sum(n15,sum(n1,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1228,c_43229]) ).

tff(c_43484,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_670,c_1260,c_43200,c_428,c_588,c_43200,c_43230]) ).

tff(c_43485,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' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_43134]) ).

tff(c_43487,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_43485]) ).

tff(c_43492,plain,
    sum(sum(n17,succ('#skF_1')),sum(pred('#skF_1'),n19)) != sum(n15,sum(pred('#skF_1'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_43487,c_43487,c_43487,c_43487,c_42083]) ).

tff(c_43496,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_556,c_41205,c_41205,c_41202,c_41202,c_43492]) ).

tff(c_43497,plain,
    ( ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_43485]) ).

tff(c_43499,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_43497]) ).

tff(c_43561,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_43499,c_1344]) ).

tff(c_666,plain,
    sum(n15,n6) = n0,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_43564,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_43499,c_1386]) ).

tff(c_43588,plain,
    sum(sum(n17,n4),sum(pred('#skF_2'),n19)) != sum(n15,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_43564,c_43564,c_42083]) ).

tff(c_43589,plain,
    sum(n15,sum(pred('#skF_2'),n4)) != sum(n0,sum(pred('#skF_2'),n19)),
    inference(demodulation,[status(thm),theory(equality)],[c_586,c_43588]) ).

tff(c_43847,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1308,c_1186,c_43561,c_666,c_1216,c_43561,c_43589]) ).

tff(c_43848,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' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_43497]) ).

tff(c_43850,plain,
    n17 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_43848]) ).

tff(c_41183,plain,
    sum(n17,'#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_41141,c_558]) ).

tff(c_43855,plain,
    sum('#skF_2','#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_43850,c_41183]) ).

tff(c_652,plain,
    sum(n15,n13) = n7,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_41181,plain,
    sum(n16,'#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_41141,c_600]) ).

tff(c_41203,plain,
    succ(n17) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_41141,c_1358]) ).

tff(c_43858,plain,
    succ('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_43850,c_41203]) ).

tff(c_43915,plain,
    pred('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_43850,c_1316]) ).

tff(c_598,plain,
    sum(n16,n19) = n14,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_43851,plain,
    sum(sum('#skF_2',succ('#skF_2')),sum(pred('#skF_2'),n19)) != sum(n15,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_43850,c_42083]) ).

tff(c_44197,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_692,c_43855,c_652,c_41181,c_43858,c_43858,c_43915,c_598,c_43915,c_43851]) ).

tff(c_44198,plain,
    ( ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_43848]) ).

tff(c_44200,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_44198]) ).

tff(c_44264,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_44200,c_1342]) ).

tff(c_662,plain,
    sum(n15,n8) = n2,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_44262,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_44200,c_1384]) ).

tff(c_44293,plain,
    sum(sum(n17,n5),sum(pred('#skF_2'),n19)) != sum(n15,sum(pred('#skF_2'),n5)),
    inference(demodulation,[status(thm),theory(equality)],[c_44262,c_44262,c_42083]) ).

tff(c_44294,plain,
    sum(n15,sum(pred('#skF_2'),n5)) != sum(n1,sum(pred('#skF_2'),n19)),
    inference(demodulation,[status(thm),theory(equality)],[c_584,c_44293]) ).

tff(c_44548,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1264,c_1144,c_44264,c_662,c_1172,c_44264,c_44294]) ).

tff(c_44549,plain,
    ( ( 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' )
    | ( n16 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_44198]) ).

tff(c_44551,plain,
    n16 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_44549]) ).

tff(c_44615,plain,
    succ('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_44551,c_1360]) ).

tff(c_44613,plain,
    pred('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_44551,c_1318]) ).

tff(c_44644,plain,
    sum(sum(n17,succ('#skF_2')),sum(n15,n19)) != sum(n15,sum(n15,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_44613,c_44613,c_42083]) ).

tff(c_44645,plain,
    sum(sum(n17,succ('#skF_2')),n13) != sum(n15,sum(n15,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_640,c_44644]) ).

tff(c_44899,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_656,c_644,c_44615,c_736,c_560,c_44615,c_44645]) ).

tff(c_44900,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' ) ),
    inference(splitRight,[status(thm)],[c_44549]) ).

tff(c_44902,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_44900]) ).

tff(c_44966,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_44902,c_1340]) ).

tff(c_44964,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_44902,c_1382]) ).

tff(c_44995,plain,
    sum(sum(n17,n6),sum(pred('#skF_2'),n19)) != sum(n15,sum(pred('#skF_2'),n6)),
    inference(demodulation,[status(thm),theory(equality)],[c_44964,c_44964,c_42083]) ).

tff(c_44996,plain,
    sum(n2,sum(pred('#skF_2'),n19)) != sum(n15,sum(pred('#skF_2'),n6)),
    inference(demodulation,[status(thm),theory(equality)],[c_582,c_44995]) ).

tff(c_45250,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_658,c_1128,c_44966,c_1220,c_1102,c_44966,c_44996]) ).

tff(c_45251,plain,
    ( ( 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_44900]) ).

tff(c_45253,plain,
    n15 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_45251]) ).

tff(c_660,plain,
    sum(n15,n9) = n3,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_45294,plain,
    sum('#skF_2',n9) = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_45253,c_660]) ).

tff(c_45316,plain,
    pred('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_45253,c_1320]) ).

tff(c_682,plain,
    sum(n14,n19) = n12,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_45319,plain,
    succ('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_45253,c_1362]) ).

tff(c_45254,plain,
    sum(sum(n17,succ('#skF_2')),sum(pred('#skF_2'),n19)) != sum('#skF_2',sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_45253,c_42083]) ).

tff(c_45600,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_45294,c_688,c_45316,c_780,c_682,c_45316,c_45319,c_562,c_45319,c_45254]) ).

tff(c_45601,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' ) ),
    inference(splitRight,[status(thm)],[c_45251]) ).

tff(c_45603,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_45601]) ).

tff(c_654,plain,
    sum(n15,n12) = n6,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_45650,plain,
    sum(n15,n12) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_45603,c_654]) ).

tff(c_45640,plain,
    sum(n3,n3) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_45603,c_1176]) ).

tff(c_45666,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_45603,c_1338]) ).

tff(c_1060,plain,
    sum(n5,n19) = n3,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_45668,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_45603,c_1380]) ).

tff(c_45692,plain,
    sum(sum(n17,n7),sum(pred('#skF_2'),n19)) != sum(n15,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_45668,c_45668,c_42083]) ).

tff(c_45693,plain,
    sum(n3,sum(pred('#skF_2'),n19)) != sum(n15,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_580,c_45692]) ).

tff(c_45951,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_45650,c_45640,c_1084,c_45666,c_1060,c_45666,c_45693]) ).

tff(c_45952,plain,
    ( ( 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_45601]) ).

tff(c_45954,plain,
    n14 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_45952]) ).

tff(c_46017,plain,
    pred('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_45954,c_1322]) ).

tff(c_664,plain,
    sum(n15,n7) = n1,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_46019,plain,
    succ('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_45954,c_1364]) ).

tff(c_46043,plain,
    sum(sum(n17,n15),sum(pred('#skF_2'),n19)) != sum(n15,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_46019,c_46019,c_42083]) ).

tff(c_46044,plain,
    sum(n15,sum(pred('#skF_2'),n15)) != sum(n11,sum(pred('#skF_2'),n19)),
    inference(demodulation,[status(thm),theory(equality)],[c_564,c_46043]) ).

tff(c_46302,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_824,c_724,c_46017,c_664,c_732,c_46017,c_46044]) ).

tff(c_46303,plain,
    ( ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_45952]) ).

tff(c_46305,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_46303]) ).

tff(c_46367,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_46305,c_1336]) ).

tff(c_1018,plain,
    sum(n6,n19) = n4,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_46370,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_46305,c_1378]) ).

tff(c_46394,plain,
    sum(sum(n17,n8),sum(pred('#skF_2'),n19)) != sum(n15,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_46370,c_46370,c_42083]) ).

tff(c_46395,plain,
    sum(n4,sum(pred('#skF_2'),n19)) != sum(n15,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_578,c_46394]) ).

tff(c_46653,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_650,c_1040,c_46367,c_1132,c_1018,c_46367,c_46395]) ).

tff(c_46654,plain,
    ( ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_46303]) ).

tff(c_46656,plain,
    n13 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_46654]) ).

tff(c_46719,plain,
    succ('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_46656,c_1366]) ).

tff(c_766,plain,
    sum(n12,n19) = n10,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_46721,plain,
    pred('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_46656,c_1324]) ).

tff(c_46745,plain,
    sum(sum(n17,succ('#skF_2')),sum(n12,n19)) != sum(n15,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_46721,c_46721,c_42083]) ).

tff(c_46746,plain,
    sum(sum(n17,succ('#skF_2')),n10) != sum(n15,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_766,c_46745]) ).

tff(c_47004,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_668,c_776,c_46719,c_868,c_566,c_46719,c_46746]) ).

tff(c_47005,plain,
    ( ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_46654]) ).

tff(c_47007,plain,
    n8 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_47005]) ).

tff(c_47069,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_47007,c_1376]) ).

tff(c_976,plain,
    sum(n7,n19) = n5,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_47070,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_47007,c_1334]) ).

tff(c_47104,plain,
    sum(sum(n17,succ('#skF_2')),sum(n7,n19)) != sum(n15,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_47070,c_47070,c_42083]) ).

tff(c_47105,plain,
    sum(sum(n17,succ('#skF_2')),n5) != sum(n15,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_976,c_47104]) ).

tff(c_47355,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_646,c_996,c_47069,c_1088,c_576,c_47069,c_47105]) ).

tff(c_47356,plain,
    ( ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_47005]) ).

tff(c_47358,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_47356]) ).

tff(c_47421,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_47358,c_1368]) ).

tff(c_41166,plain,
    sum(n9,n9) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_41141,c_912]) ).

tff(c_808,plain,
    sum(n11,n19) = n9,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_47423,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_47358,c_1326]) ).

tff(c_47455,plain,
    sum(sum(n17,succ('#skF_2')),sum(n11,n19)) != sum(n15,sum(n11,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_47423,c_47423,c_42083]) ).

tff(c_47456,plain,
    sum(sum(n17,succ('#skF_2')),n9) != sum(n15,sum(n11,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_808,c_47455]) ).

tff(c_47706,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_41177,c_820,c_47421,c_41166,c_568,c_47421,c_47456]) ).

tff(c_47707,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_47356]) ).

tff(c_47709,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_47707]) ).

tff(c_47773,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_47709,c_1332]) ).

tff(c_934,plain,
    sum(n8,n19) = n6,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_47771,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_47709,c_1374]) ).

tff(c_47798,plain,
    sum(sum(n17,n10),sum(pred('#skF_2'),n19)) != sum(n15,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_47771,c_47771,c_42083]) ).

tff(c_47799,plain,
    sum(n6,sum(pred('#skF_2'),n19)) != sum(n15,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_574,c_47798]) ).

tff(c_48057,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_41178,c_41197,c_47773,c_1044,c_934,c_47773,c_47799]) ).

tff(c_48058,plain,
    ( ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_47707]) ).

tff(c_48060,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_48058]) ).

tff(c_48125,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_48060,c_1328]) ).

tff(c_850,plain,
    sum(n10,n19) = n8,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_48122,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_48060,c_1370]) ).

tff(c_48149,plain,
    sum(sum(n17,n12),sum(pred('#skF_2'),n19)) != sum(n15,sum(pred('#skF_2'),n12)),
    inference(demodulation,[status(thm),theory(equality)],[c_48122,c_48122,c_42083]) ).

tff(c_48150,plain,
    sum(n8,sum(pred('#skF_2'),n19)) != sum(n15,sum(pred('#skF_2'),n12)),
    inference(demodulation,[status(thm),theory(equality)],[c_570,c_48149]) ).

tff(c_48408,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_676,c_864,c_48125,c_956,c_850,c_48125,c_48150]) ).

tff(c_48409,plain,
    n10 = '#skF_2',
    inference(splitRight,[status(thm)],[c_48058]) ).

tff(c_48475,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_48409,c_1330]) ).

tff(c_892,plain,
    sum(n9,n19) = n7,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_48472,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_48409,c_1372]) ).

tff(c_48507,plain,
    sum(sum(n17,n11),sum(pred('#skF_2'),n19)) != sum(n15,sum(pred('#skF_2'),n11)),
    inference(demodulation,[status(thm),theory(equality)],[c_48472,c_48472,c_42083]) ).

tff(c_48508,plain,
    sum(n7,sum(pred('#skF_2'),n19)) != sum(n15,sum(pred('#skF_2'),n11)),
    inference(demodulation,[status(thm),theory(equality)],[c_572,c_48507]) ).

tff(c_48758,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_638,c_908,c_48475,c_1000,c_892,c_48475,c_48508]) ).

tff(c_48759,plain,
    ( ( n17 = '#skF_1' )
    | ( n16 = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_41139]) ).

tff(c_48761,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_48759]) ).

tff(c_48795,plain,
    sum(n12,n12) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_48761,c_780]) ).

tff(c_964,plain,
    sum(n8,n4) = n12,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_838,plain,
    sum(n11,n4) = n15,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1048,plain,
    sum(n6,n4) = n10,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_754,plain,
    sum(n13,n4) = n17,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1036,plain,
    sum(n6,n10) = n16,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1034,plain,
    sum(n6,n11) = n17,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1030,plain,
    sum(n6,n13) = n19,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_48825,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_48761,c_1386]) ).

tff(c_48822,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_48761,c_1344]) ).

tff(c_1026,plain,
    sum(n6,n15) = n0,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1022,plain,
    sum(n6,n17) = n2,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_48790,plain,
    sum('#skF_1','#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_48761,c_48761,c_1176]) ).

tff(c_48798,plain,
    sum(n2,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_48761,c_1222]) ).

tff(c_48804,plain,
    sum(n20,n4) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_48761,c_460]) ).

tff(c_48850,plain,
    ( ( n20 = '#skF_2' )
    | ( n19 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n2 = '#skF_2' )
    | ( n1 = '#skF_2' )
    | ( n0 = '#skF_2' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_48761,c_424]) ).

tff(c_48851,plain,
    n0 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_48850]) ).

tff(c_48901,plain,
    sum(n6,'#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_48851,c_1056]) ).

tff(c_48903,plain,
    sum(n20,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_48851,c_466]) ).

tff(c_48913,plain,
    succ('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_48851,c_1392]) ).

tff(c_48911,plain,
    pred('#skF_2') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_48851,c_1350]) ).

tff(c_48941,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n20,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n20,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_48911,c_48911,c_422]) ).

tff(c_49443,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_48790,c_48798,c_48804,c_48901,c_48903,c_48825,c_1216,c_48825,c_48913,c_48913,c_48822,c_48822,c_48941]) ).

tff(c_49444,plain,
    ( ( n1 = '#skF_2' )
    | ( n2 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n19 = '#skF_2' )
    | ( n20 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_48850]) ).

tff(c_49704,plain,
    n20 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_49444]) ).

tff(c_49768,plain,
    succ('#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_49704,c_1352]) ).

tff(c_49769,plain,
    pred('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_49704,c_1310]) ).

tff(c_49446,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),n4)) != sum(sum(pred('#skF_1'),n4),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_48825,c_48825,c_422]) ).

tff(c_49703,plain,
    sum(sum(n2,succ('#skF_2')),sum(pred('#skF_2'),n4)) != sum(n6,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1216,c_48822,c_48822,c_49446]) ).

tff(c_49793,plain,
    sum(sum(n2,succ('#skF_2')),sum(n19,n4)) != sum(n6,sum(n19,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_49769,c_49769,c_49703]) ).

tff(c_49794,plain,
    sum(sum(n2,succ('#skF_2')),n2) != sum(n6,sum(n19,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_502,c_49793]) ).

tff(c_50052,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1018,c_510,c_49768,c_1220,c_1224,c_49768,c_49794]) ).

tff(c_50053,plain,
    ( ( n19 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n2 = '#skF_2' )
    | ( n1 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_49444]) ).

tff(c_50055,plain,
    n1 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_50053]) ).

tff(c_50117,plain,
    pred('#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_50055,c_1348]) ).

tff(c_50120,plain,
    succ('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_50055,c_1390]) ).

tff(c_50144,plain,
    sum(sum(n2,n2),sum(pred('#skF_2'),n4)) != sum(n6,sum(pred('#skF_2'),n2)),
    inference(demodulation,[status(thm),theory(equality)],[c_50120,c_50120,c_49703]) ).

tff(c_50145,plain,
    sum(n6,sum(pred('#skF_2'),n2)) != sum(n4,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_1220,c_50144]) ).

tff(c_50403,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1132,c_1300,c_50117,c_1052,c_1304,c_50117,c_50145]) ).

tff(c_50404,plain,
    ( ( n2 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n19 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_50053]) ).

tff(c_50406,plain,
    n19 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_50404]) ).

tff(c_50468,plain,
    succ('#skF_2') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_50406,c_1354]) ).

tff(c_50470,plain,
    pred('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_50406,c_1312]) ).

tff(c_50499,plain,
    sum(sum(n2,succ('#skF_2')),sum(n18,n4)) != sum(n6,sum(n18,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_50470,c_50470,c_49703]) ).

tff(c_50500,plain,
    sum(sum(n2,succ('#skF_2')),n1) != sum(n6,sum(n18,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_544,c_50499]) ).

tff(c_50754,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1022,c_512,c_50468,c_1264,c_1184,c_50468,c_50500]) ).

tff(c_50755,plain,
    ( ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n2 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_50404]) ).

tff(c_50757,plain,
    n2 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_50755]) ).

tff(c_48784,plain,
    sum(n2,'#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_48761,c_1218]) ).

tff(c_50761,plain,
    sum('#skF_2','#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_50757,c_48784]) ).

tff(c_48808,plain,
    sum(n1,'#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_48761,c_1260]) ).

tff(c_48824,plain,
    succ(n2) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_48761,c_1388]) ).

tff(c_50766,plain,
    succ('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_50757,c_48824]) ).

tff(c_50822,plain,
    pred('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_50757,c_1346]) ).

tff(c_50758,plain,
    sum(sum('#skF_2',succ('#skF_2')),sum(pred('#skF_2'),n4)) != sum(n6,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_50757,c_49703]) ).

tff(c_51104,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1088,c_50761,c_1048,c_48808,c_50766,c_50766,c_50822,c_1258,c_50822,c_50758]) ).

tff(c_51105,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( 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' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_50755]) ).

tff(c_51107,plain,
    n18 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_51105]) ).

tff(c_51169,plain,
    succ('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_51107,c_1356]) ).

tff(c_51172,plain,
    pred('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_51107,c_1314]) ).

tff(c_51196,plain,
    sum(sum(n2,succ('#skF_2')),sum(n17,n4)) != sum(n6,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_51172,c_51172,c_49703]) ).

tff(c_51197,plain,
    sum(sum(n2,succ('#skF_2')),n0) != sum(n6,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_586,c_51196]) ).

tff(c_51455,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1026,c_556,c_51169,c_1308,c_1186,c_51169,c_51197]) ).

tff(c_51456,plain,
    ( ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_51105]) ).

tff(c_51458,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_51456]) ).

tff(c_51464,plain,
    sum(sum(n2,succ('#skF_1')),sum(pred('#skF_1'),n4)) != sum(n6,sum(pred('#skF_1'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_51458,c_51458,c_51458,c_51458,c_49703]) ).

tff(c_51468,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1216,c_48825,c_48825,c_48822,c_48822,c_51464]) ).

tff(c_51469,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' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_51456]) ).

tff(c_51471,plain,
    n17 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_51469]) ).

tff(c_51533,plain,
    succ('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_51471,c_1358]) ).

tff(c_628,plain,
    sum(n16,n4) = n20,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_51534,plain,
    pred('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_51471,c_1316]) ).

tff(c_51568,plain,
    sum(sum(n2,succ('#skF_2')),sum(n16,n4)) != sum(n6,sum(n16,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_51534,c_51534,c_49703]) ).

tff(c_51569,plain,
    sum(sum(n2,succ('#skF_2')),n20) != sum(n6,sum(n16,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_628,c_51568]) ).

tff(c_51819,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1030,c_600,c_51533,c_428,c_1188,c_51533,c_51569]) ).

tff(c_51820,plain,
    ( ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_51469]) ).

tff(c_51822,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_51820]) ).

tff(c_1174,plain,
    sum(n3,n4) = n7,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_48779,plain,
    sum('#skF_1',n4) = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_48761,c_1174]) ).

tff(c_51828,plain,
    sum('#skF_1','#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_51822,c_48779]) ).

tff(c_48816,plain,
    sum('#skF_1',n5) = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_48761,c_1172]) ).

tff(c_48823,plain,
    pred(n4) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_48761,c_1342]) ).

tff(c_51830,plain,
    pred('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_51822,c_48823]) ).

tff(c_51887,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_51822,c_1384]) ).

tff(c_51823,plain,
    sum(sum(n2,succ('#skF_2')),sum(pred('#skF_2'),'#skF_2')) != sum(n6,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_51822,c_49703]) ).

tff(c_52169,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1000,c_51828,c_1040,c_48816,c_51830,c_51830,c_51887,c_1214,c_51887,c_51823]) ).

tff(c_52170,plain,
    ( ( 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' )
    | ( n16 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_51820]) ).

tff(c_52172,plain,
    n16 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_52170]) ).

tff(c_52236,plain,
    succ('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_52172,c_1360]) ).

tff(c_52234,plain,
    pred('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_52172,c_1318]) ).

tff(c_52265,plain,
    sum(sum(n2,succ('#skF_2')),sum(n15,n4)) != sum(n6,sum(n15,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_52234,c_52234,c_49703]) ).

tff(c_52266,plain,
    sum(sum(n2,succ('#skF_2')),n19) != sum(n6,sum(n15,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_670,c_52265]) ).

tff(c_52520,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1034,c_644,c_52236,c_472,c_1190,c_52236,c_52266]) ).

tff(c_52521,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' ) ),
    inference(splitRight,[status(thm)],[c_52170]) ).

tff(c_52523,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_52521]) ).

tff(c_52585,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_52523,c_1382]) ).

tff(c_52587,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_52523,c_1340]) ).

tff(c_52616,plain,
    sum(sum(n2,succ('#skF_2')),sum(n4,n4)) != sum(n6,sum(n4,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_52587,c_52587,c_49703]) ).

tff(c_52617,plain,
    sum(sum(n2,succ('#skF_2')),n8) != sum(n6,sum(n4,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1132,c_52616]) ).

tff(c_52871,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1036,c_1128,c_52585,c_956,c_1212,c_52585,c_52617]) ).

tff(c_52872,plain,
    ( ( 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_52521]) ).

tff(c_52874,plain,
    n15 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_52872]) ).

tff(c_1038,plain,
    sum(n6,n9) = n15,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_52901,plain,
    sum(n6,n9) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_52874,c_1038]) ).

tff(c_52895,plain,
    sum(n18,n18) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_52874,c_516]) ).

tff(c_712,plain,
    sum(n14,n4) = n18,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_52936,plain,
    pred('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_52874,c_1320]) ).

tff(c_52939,plain,
    succ('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_52874,c_1362]) ).

tff(c_52963,plain,
    sum(sum(n2,n16),sum(pred('#skF_2'),n4)) != sum(n6,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_52939,c_52939,c_49703]) ).

tff(c_52964,plain,
    sum(n6,sum(pred('#skF_2'),n16)) != sum(n18,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_1192,c_52963]) ).

tff(c_53222,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_52901,c_52895,c_712,c_52936,c_688,c_52936,c_52964]) ).

tff(c_53223,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' ) ),
    inference(splitRight,[status(thm)],[c_52872]) ).

tff(c_53225,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_53223]) ).

tff(c_1032,plain,
    sum(n6,n12) = n18,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_53260,plain,
    sum('#skF_2',n12) = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_53225,c_1032]) ).

tff(c_53289,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_53225,c_1338]) ).

tff(c_1090,plain,
    sum(n5,n4) = n9,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_53291,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_53225,c_1380]) ).

tff(c_53226,plain,
    sum(sum(n2,succ('#skF_2')),sum(pred('#skF_2'),n4)) != sum('#skF_2',sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_53225,c_49703]) ).

tff(c_53572,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_53260,c_1084,c_53289,c_912,c_1090,c_53289,c_53291,c_1210,c_53291,c_53226]) ).

tff(c_53573,plain,
    ( ( 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_53223]) ).

tff(c_53575,plain,
    n14 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_53573]) ).

tff(c_53638,plain,
    pred('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_53575,c_1322]) ).

tff(c_1042,plain,
    sum(n6,n7) = n13,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_53640,plain,
    succ('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_53575,c_1364]) ).

tff(c_53664,plain,
    sum(sum(n2,n15),sum(pred('#skF_2'),n4)) != sum(n6,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_53640,c_53640,c_49703]) ).

tff(c_53665,plain,
    sum(n6,sum(pred('#skF_2'),n15)) != sum(n17,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_1194,c_53664]) ).

tff(c_53923,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_560,c_754,c_53638,c_1042,c_732,c_53638,c_53665]) ).

tff(c_53924,plain,
    ( ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_53573]) ).

tff(c_53926,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_53924]) ).

tff(c_53988,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_53926,c_1336]) ).

tff(c_1028,plain,
    sum(n6,n14) = n20,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_53991,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_53926,c_1378]) ).

tff(c_54015,plain,
    sum(sum(n2,n8),sum(pred('#skF_2'),n4)) != sum(n6,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_53991,c_53991,c_49703]) ).

tff(c_54016,plain,
    sum(n6,sum(pred('#skF_2'),n8)) != sum(n10,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_1208,c_54015]) ).

tff(c_54274,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_868,c_1048,c_53988,c_1028,c_1040,c_53988,c_54016]) ).

tff(c_54275,plain,
    ( ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_53924]) ).

tff(c_54277,plain,
    n13 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_54275]) ).

tff(c_54340,plain,
    succ('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_54277,c_1366]) ).

tff(c_796,plain,
    sum(n12,n4) = n16,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_54342,plain,
    pred('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_54277,c_1324]) ).

tff(c_54366,plain,
    sum(sum(n2,succ('#skF_2')),sum(n12,n4)) != sum(n6,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_54342,c_54342,c_49703]) ).

tff(c_54367,plain,
    sum(sum(n2,succ('#skF_2')),n16) != sum(n6,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_796,c_54366]) ).

tff(c_54625,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1046,c_776,c_54340,c_604,c_1196,c_54340,c_54367]) ).

tff(c_54626,plain,
    ( ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_54275]) ).

tff(c_54628,plain,
    n8 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_54626]) ).

tff(c_54690,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_54628,c_1376]) ).

tff(c_1006,plain,
    sum(n7,n4) = n11,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_54691,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_54628,c_1334]) ).

tff(c_54725,plain,
    sum(sum(n2,succ('#skF_2')),sum(n7,n4)) != sum(n6,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_54691,c_54691,c_49703]) ).

tff(c_54726,plain,
    sum(sum(n2,succ('#skF_2')),n11) != sum(n6,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1006,c_54725]) ).

tff(c_54976,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1024,c_996,c_54690,c_824,c_1206,c_54690,c_54726]) ).

tff(c_54977,plain,
    ( ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_54626]) ).

tff(c_54979,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_54977]) ).

tff(c_55044,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_54979,c_1326]) ).

tff(c_48794,plain,
    sum(n6,'#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_48761,c_1050]) ).

tff(c_48811,plain,
    sum(n11,n13) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_48761,c_820]) ).

tff(c_55042,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_54979,c_1368]) ).

tff(c_55076,plain,
    sum(sum(n2,n13),sum(pred('#skF_2'),n4)) != sum(n6,sum(pred('#skF_2'),n13)),
    inference(demodulation,[status(thm),theory(equality)],[c_55042,c_55042,c_49703]) ).

tff(c_55077,plain,
    sum(n6,sum(pred('#skF_2'),n13)) != sum(n15,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_1198,c_55076]) ).

tff(c_55327,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_648,c_838,c_55044,c_48794,c_48811,c_55044,c_55077]) ).

tff(c_55328,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_54977]) ).

tff(c_55330,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_55328]) ).

tff(c_55394,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_55330,c_1332]) ).

tff(c_1020,plain,
    sum(n6,n18) = n3,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_48791,plain,
    sum(n6,n18) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_48761,c_1020]) ).

tff(c_55392,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_55330,c_1374]) ).

tff(c_55419,plain,
    sum(sum(n2,n10),sum(pred('#skF_2'),n4)) != sum(n6,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_55392,c_55392,c_49703]) ).

tff(c_55420,plain,
    sum(n6,sum(pred('#skF_2'),n10)) != sum(n12,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_1204,c_55419]) ).

tff(c_55678,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_48795,c_964,c_55394,c_48791,c_952,c_55394,c_55420]) ).

tff(c_55679,plain,
    ( ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_55328]) ).

tff(c_55681,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_55679]) ).

tff(c_55746,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_55681,c_1328]) ).

tff(c_55743,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_55681,c_1370]) ).

tff(c_55770,plain,
    sum(sum(n2,n12),sum(pred('#skF_2'),n4)) != sum(n6,sum(pred('#skF_2'),n12)),
    inference(demodulation,[status(thm),theory(equality)],[c_55743,c_55743,c_49703]) ).

tff(c_55771,plain,
    sum(n6,sum(pred('#skF_2'),n12)) != sum(n14,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_1200,c_55770]) ).

tff(c_56029,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_692,c_880,c_55746,c_1054,c_864,c_55746,c_55771]) ).

tff(c_56030,plain,
    n10 = '#skF_2',
    inference(splitRight,[status(thm)],[c_55679]) ).

tff(c_56093,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_56030,c_1372]) ).

tff(c_922,plain,
    sum(n9,n4) = n13,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_56096,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_56030,c_1330]) ).

tff(c_56124,plain,
    sum(sum(n2,succ('#skF_2')),sum(n9,n4)) != sum(n6,sum(n9,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_56096,c_56096,c_49703]) ).

tff(c_56125,plain,
    sum(sum(n2,succ('#skF_2')),n13) != sum(n6,sum(n9,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_922,c_56124]) ).

tff(c_56379,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1016,c_908,c_56093,c_736,c_1202,c_56093,c_56125]) ).

tff(c_56380,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' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' )
    | ( n15 = '#skF_1' )
    | ( n16 = '#skF_1' )
    | ( n17 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_48759]) ).

tff(c_61634,plain,
    n17 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_56380]) ).

tff(c_61695,plain,
    succ('#skF_1') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_61634,c_1358]) ).

tff(c_61696,plain,
    pred('#skF_1') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_61634,c_1316]) ).

tff(c_750,plain,
    sum(n13,n6) = n19,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_61636,plain,
    sum(n13,n4) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_61634,c_754]) ).

tff(c_728,plain,
    sum(n13,n17) = n9,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_61657,plain,
    sum(n13,'#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_61634,c_728]) ).

tff(c_61648,plain,
    sum(n18,n20) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_61634,c_512]) ).

tff(c_56735,plain,
    n17 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_56380]) ).

tff(c_56788,plain,
    sum('#skF_1','#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_56735,c_56735,c_560]) ).

tff(c_56771,plain,
    sum(n16,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_56735,c_634]) ).

tff(c_56760,plain,
    sum(n20,n18) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_56735,c_432]) ).

tff(c_56382,plain,
    n0 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_424]) ).

tff(c_56406,plain,
    sum(n13,'#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_56382,c_762]) ).

tff(c_56798,plain,
    pred('#skF_1') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_56735,c_1316]) ).

tff(c_56797,plain,
    succ('#skF_1') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_56735,c_1358]) ).

tff(c_56438,plain,
    sum(n20,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_56382,c_466]) ).

tff(c_56446,plain,
    pred('#skF_2') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_56382,c_1350]) ).

tff(c_56448,plain,
    succ('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_56382,c_1392]) ).

tff(c_56473,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n1)) != sum(sum(pred('#skF_1'),n1),sum(pred('#skF_2'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_56448,c_56448,c_422]) ).

tff(c_56734,plain,
    sum(sum(pred('#skF_1'),n1),sum(n20,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_56438,c_56446,c_56446,c_56473]) ).

tff(c_56828,plain,
    sum(sum(pred('#skF_1'),n1),sum(n20,n18)) != sum(sum(pred('#skF_1'),n18),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_56797,c_56797,c_56734]) ).

tff(c_57082,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_56788,c_56771,c_56760,c_56406,c_600,c_56798,c_56798,c_56828]) ).

tff(c_57083,plain,
    ( ( n16 = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_56380]) ).

tff(c_57085,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_57083]) ).

tff(c_57125,plain,
    sum('#skF_1','#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_57085,c_57085,c_1132]) ).

tff(c_57145,plain,
    sum(n20,n5) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_57085,c_458]) ).

tff(c_57146,plain,
    sum(n3,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_57085,c_1180]) ).

tff(c_56409,plain,
    sum(n8,'#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_56382,c_972]) ).

tff(c_57149,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_57085,c_1342]) ).

tff(c_57147,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_57085,c_1384]) ).

tff(c_57178,plain,
    sum(sum(pred('#skF_1'),n1),sum(n20,n5)) != sum(sum(pred('#skF_1'),n5),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_57147,c_57147,c_56734]) ).

tff(c_57432,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_57125,c_57145,c_57146,c_56409,c_1172,c_57149,c_57149,c_57178]) ).

tff(c_57433,plain,
    ( ( 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' )
    | ( n16 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_57083]) ).

tff(c_57435,plain,
    n16 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_57433]) ).

tff(c_57481,plain,
    sum('#skF_1','#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_57435,c_57435,c_604]) ).

tff(c_57464,plain,
    sum(n15,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_57435,c_676]) ).

tff(c_57444,plain,
    sum(n20,n17) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_57435,c_434]) ).

tff(c_56390,plain,
    sum(n11,'#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_56382,c_846]) ).

tff(c_57499,plain,
    succ('#skF_1') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_57435,c_1360]) ).

tff(c_57497,plain,
    pred('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_57435,c_1318]) ).

tff(c_57528,plain,
    sum(sum(n15,n1),sum(n20,succ('#skF_1'))) != sum(sum(n15,succ('#skF_1')),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_57497,c_57497,c_56734]) ).

tff(c_57782,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_57481,c_57464,c_57444,c_56390,c_644,c_57499,c_57499,c_57528]) ).

tff(c_57783,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' ) ),
    inference(splitRight,[status(thm)],[c_57433]) ).

tff(c_57785,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_57783]) ).

tff(c_57821,plain,
    sum('#skF_1','#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_57785,c_57785,c_1088]) ).

tff(c_57833,plain,
    sum(n20,n6) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_57785,c_456]) ).

tff(c_57840,plain,
    sum(n4,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_57785,c_1138]) ).

tff(c_56394,plain,
    sum(n10,'#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_56382,c_888]) ).

tff(c_57849,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_57785,c_1340]) ).

tff(c_57847,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_57785,c_1382]) ).

tff(c_57878,plain,
    sum(sum(pred('#skF_1'),n1),sum(n20,n6)) != sum(sum(pred('#skF_1'),n6),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_57847,c_57847,c_56734]) ).

tff(c_58132,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_57821,c_57833,c_57840,c_56394,c_1128,c_57849,c_57849,c_57878]) ).

tff(c_58133,plain,
    ( ( 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_57783]) ).

tff(c_58135,plain,
    n15 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_58133]) ).

tff(c_58179,plain,
    sum('#skF_1','#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_58135,c_58135,c_648]) ).

tff(c_58194,plain,
    sum(n20,n16) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_58135,c_436]) ).

tff(c_58152,plain,
    sum(n14,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_58135,c_718]) ).

tff(c_56443,plain,
    sum(n9,'#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_56382,c_930]) ).

tff(c_58197,plain,
    pred('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_58135,c_1320]) ).

tff(c_58200,plain,
    succ('#skF_1') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_58135,c_1362]) ).

tff(c_58224,plain,
    sum(sum(pred('#skF_1'),n1),sum(n20,n16)) != sum(sum(pred('#skF_1'),n16),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_58200,c_58200,c_56734]) ).

tff(c_58482,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_58179,c_58194,c_58152,c_56443,c_688,c_58197,c_58197,c_58224]) ).

tff(c_58483,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' ) ),
    inference(splitRight,[status(thm)],[c_58133]) ).

tff(c_58485,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_58483]) ).

tff(c_58511,plain,
    sum('#skF_1','#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_58485,c_58485,c_1044]) ).

tff(c_58537,plain,
    sum(n5,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_58485,c_1096]) ).

tff(c_58513,plain,
    sum(n20,n7) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_58485,c_454]) ).

tff(c_56435,plain,
    sum(n12,'#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_56382,c_804]) ).

tff(c_58548,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_58485,c_1338]) ).

tff(c_58550,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_58485,c_1380]) ).

tff(c_58574,plain,
    sum(sum(pred('#skF_1'),n1),sum(n20,n7)) != sum(sum(pred('#skF_1'),n7),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_58550,c_58550,c_56734]) ).

tff(c_58832,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_58511,c_58537,c_58513,c_56435,c_1084,c_58548,c_58548,c_58574]) ).

tff(c_58833,plain,
    ( ( 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_58483]) ).

tff(c_58835,plain,
    n14 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_58833]) ).

tff(c_58870,plain,
    sum('#skF_1','#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_58835,c_58835,c_692]) ).

tff(c_58848,plain,
    sum(n13,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_58835,c_760]) ).

tff(c_58843,plain,
    sum(n20,n15) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_58835,c_438]) ).

tff(c_56414,plain,
    sum(n7,'#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_56382,c_1014]) ).

tff(c_58898,plain,
    pred('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_58835,c_1322]) ).

tff(c_58900,plain,
    succ('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_58835,c_1364]) ).

tff(c_58924,plain,
    sum(sum(pred('#skF_1'),n1),sum(n20,n15)) != sum(sum(pred('#skF_1'),n15),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_58900,c_58900,c_56734]) ).

tff(c_59182,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_58870,c_58848,c_58843,c_56414,c_732,c_58898,c_58898,c_58924]) ).

tff(c_59183,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_58833]) ).

tff(c_59185,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_59183]) ).

tff(c_59211,plain,
    sum('#skF_1','#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_59185,c_59185,c_1000]) ).

tff(c_59195,plain,
    sum(n20,n8) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_59185,c_452]) ).

tff(c_59196,plain,
    sum(n6,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_59185,c_1054]) ).

tff(c_56395,plain,
    sum(n14,'#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_56382,c_720]) ).

tff(c_59247,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_59185,c_1336]) ).

tff(c_59250,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_59185,c_1378]) ).

tff(c_59274,plain,
    sum(sum(pred('#skF_1'),n1),sum(n20,n8)) != sum(sum(pred('#skF_1'),n8),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_59250,c_59250,c_56734]) ).

tff(c_59532,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_59211,c_59195,c_59196,c_56395,c_1040,c_59247,c_59247,c_59274]) ).

tff(c_59533,plain,
    ( ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_59183]) ).

tff(c_59535,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_59533]) ).

tff(c_59573,plain,
    sum('#skF_1','#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_59535,c_59535,c_736]) ).

tff(c_59551,plain,
    sum(n12,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_59535,c_802]) ).

tff(c_59565,plain,
    sum(n20,n14) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_59535,c_440]) ).

tff(c_56386,plain,
    sum(n5,'#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_56382,c_1098]) ).

tff(c_59598,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_59535,c_1366]) ).

tff(c_59600,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_59535,c_1324]) ).

tff(c_59624,plain,
    sum(sum(n12,n1),sum(n20,succ('#skF_1'))) != sum(sum(n12,succ('#skF_1')),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_59600,c_59600,c_56734]) ).

tff(c_59882,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_59573,c_59551,c_59565,c_56386,c_776,c_59598,c_59598,c_59624]) ).

tff(c_59883,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_59533]) ).

tff(c_59885,plain,
    n8 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_59883]) ).

tff(c_59937,plain,
    sum('#skF_1','#skF_1') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_59885,c_59885,c_956]) ).

tff(c_59905,plain,
    sum(n20,n9) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_59885,c_450]) ).

tff(c_59907,plain,
    sum(n7,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_59885,c_1012]) ).

tff(c_56423,plain,
    sum(n16,'#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_56382,c_636]) ).

tff(c_59948,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_59885,c_1334]) ).

tff(c_59947,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_59885,c_1376]) ).

tff(c_59982,plain,
    sum(sum(pred('#skF_1'),n1),sum(n20,n9)) != sum(sum(pred('#skF_1'),n9),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_59947,c_59947,c_56734]) ).

tff(c_60232,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_59937,c_59905,c_59907,c_56423,c_996,c_59948,c_59948,c_59982]) ).

tff(c_60233,plain,
    ( ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_59883]) ).

tff(c_60235,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_60233]) ).

tff(c_60274,plain,
    sum('#skF_1','#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_60235,c_60235,c_780]) ).

tff(c_60264,plain,
    sum(n20,n13) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_60235,c_442]) ).

tff(c_60270,plain,
    sum(n11,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_60235,c_844]) ).

tff(c_56389,plain,
    sum(n3,'#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_56382,c_1182]) ).

tff(c_60300,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_60235,c_1326]) ).

tff(c_60298,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_60235,c_1368]) ).

tff(c_60332,plain,
    sum(sum(pred('#skF_1'),n1),sum(n20,n13)) != sum(sum(pred('#skF_1'),n13),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_60298,c_60298,c_56734]) ).

tff(c_60582,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_60274,c_60264,c_60270,c_56389,c_820,c_60300,c_60300,c_60332]) ).

tff(c_60583,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_60233]) ).

tff(c_60585,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_60583]) ).

tff(c_60616,plain,
    sum('#skF_1','#skF_1') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_60585,c_60585,c_912]) ).

tff(c_60605,plain,
    sum(n20,n10) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_60585,c_448]) ).

tff(c_60613,plain,
    sum(n8,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_60585,c_970]) ).

tff(c_56427,plain,
    sum(n18,'#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_56382,c_552]) ).

tff(c_60649,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_60585,c_1332]) ).

tff(c_60647,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_60585,c_1374]) ).

tff(c_60674,plain,
    sum(sum(pred('#skF_1'),n1),sum(n20,n10)) != sum(sum(pred('#skF_1'),n10),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_60647,c_60647,c_56734]) ).

tff(c_60932,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_60616,c_60605,c_60613,c_56427,c_952,c_60649,c_60649,c_60674]) ).

tff(c_60933,plain,
    ( ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_60583]) ).

tff(c_60935,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_60933]) ).

tff(c_60963,plain,
    sum('#skF_1','#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_60935,c_60935,c_824]) ).

tff(c_60961,plain,
    sum(n10,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_60935,c_886]) ).

tff(c_60962,plain,
    sum(n20,n12) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_60935,c_444]) ).

tff(c_56429,plain,
    sum(n1,'#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_56382,c_1266]) ).

tff(c_61000,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_60935,c_1328]) ).

tff(c_60997,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_60935,c_1370]) ).

tff(c_61024,plain,
    sum(sum(pred('#skF_1'),n1),sum(n20,n12)) != sum(sum(pred('#skF_1'),n12),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_60997,c_60997,c_56734]) ).

tff(c_61282,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_60963,c_60961,c_60962,c_56429,c_864,c_61000,c_61000,c_61024]) ).

tff(c_61283,plain,
    n10 = '#skF_1',
    inference(splitRight,[status(thm)],[c_60933]) ).

tff(c_61292,plain,
    sum('#skF_1','#skF_1') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_61283,c_61283,c_868]) ).

tff(c_61323,plain,
    sum(n20,n11) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_61283,c_446]) ).

tff(c_61343,plain,
    sum(n9,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_61283,c_928]) ).

tff(c_56441,plain,
    sum(n20,'#skF_2') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_56382,c_468]) ).

tff(c_61349,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_61283,c_1330]) ).

tff(c_61346,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_61283,c_1372]) ).

tff(c_61381,plain,
    sum(sum(pred('#skF_1'),n1),sum(n20,n11)) != sum(sum(pred('#skF_1'),n11),'#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_61346,c_61346,c_56734]) ).

tff(c_61631,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_61292,c_61323,c_61343,c_56441,c_908,c_61349,c_61349,c_61381]) ).

tff(c_61632,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' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n19 = '#skF_2' )
    | ( n20 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_424]) ).

tff(c_61981,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' )
    | ( n16 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n18 = '#skF_2' )
    | ( n19 = '#skF_2' )
    | ( n20 = '#skF_2' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_61634,c_61632]) ).

tff(c_61982,plain,
    n20 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_61981]) ).

tff(c_62046,plain,
    succ('#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_61982,c_1352]) ).

tff(c_62047,plain,
    pred('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_61982,c_1310]) ).

tff(c_61731,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),n18)) != sum(sum(pred('#skF_1'),n18),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_61695,c_61695,c_422]) ).

tff(c_61980,plain,
    sum(sum(n16,succ('#skF_2')),sum(pred('#skF_2'),n18)) != sum(n13,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_600,c_61696,c_61696,c_61731]) ).

tff(c_62071,plain,
    sum(sum(n16,succ('#skF_2')),sum(n19,n18)) != sum(n13,sum(n19,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_62047,c_62047,c_61980]) ).

tff(c_62072,plain,
    sum(sum(n16,succ('#skF_2')),n16) != sum(n13,sum(n19,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_474,c_62071]) ).

tff(c_62330,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_724,c_510,c_62046,c_604,c_636,c_62046,c_62072]) ).

tff(c_62331,plain,
    ( ( n19 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_61981]) ).

tff(c_62333,plain,
    n1 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_62331]) ).

tff(c_62395,plain,
    pred('#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_62333,c_1348]) ).

tff(c_62398,plain,
    succ('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_62333,c_1390]) ).

tff(c_62422,plain,
    sum(sum(n16,n2),sum(pred('#skF_2'),n18)) != sum(n13,sum(pred('#skF_2'),n2)),
    inference(demodulation,[status(thm),theory(equality)],[c_62398,c_62398,c_61980]) ).

tff(c_62423,plain,
    sum(n18,sum(pred('#skF_2'),n18)) != sum(n13,sum(pred('#skF_2'),n2)),
    inference(demodulation,[status(thm),theory(equality)],[c_632,c_62422]) ).

tff(c_62681,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_758,c_1304,c_62395,c_516,c_1272,c_62395,c_62423]) ).

tff(c_62682,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' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n18 = '#skF_2' )
    | ( n19 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_62331]) ).

tff(c_62684,plain,
    n19 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_62682]) ).

tff(c_62746,plain,
    succ('#skF_2') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_62684,c_1354]) ).

tff(c_62748,plain,
    pred('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_62684,c_1312]) ).

tff(c_62777,plain,
    sum(sum(n16,succ('#skF_2')),sum(n18,n18)) != sum(n13,sum(n18,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_62748,c_62748,c_61980]) ).

tff(c_62778,plain,
    sum(sum(n16,succ('#skF_2')),n15) != sum(n13,sum(n18,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_62777]) ).

tff(c_63032,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_61657,c_61648,c_62746,c_648,c_596,c_62746,c_62778]) ).

tff(c_63033,plain,
    ( ( n18 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_62682]) ).

tff(c_63035,plain,
    n2 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_63033]) ).

tff(c_63098,plain,
    pred('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_63035,c_1346]) ).

tff(c_61649,plain,
    sum(n19,n19) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_61634,c_472]) ).

tff(c_63099,plain,
    succ('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_63035,c_1388]) ).

tff(c_63128,plain,
    sum(sum(n16,n3),sum(pred('#skF_2'),n18)) != sum(n13,sum(pred('#skF_2'),n3)),
    inference(demodulation,[status(thm),theory(equality)],[c_63099,c_63099,c_61980]) ).

tff(c_63129,plain,
    sum(n19,sum(pred('#skF_2'),n18)) != sum(n13,sum(pred('#skF_2'),n3)),
    inference(demodulation,[status(thm),theory(equality)],[c_630,c_63128]) ).

tff(c_63383,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_61636,c_1260,c_63098,c_61649,c_1230,c_63098,c_63129]) ).

tff(c_63384,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' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n18 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_63033]) ).

tff(c_63386,plain,
    n18 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_63384]) ).

tff(c_61685,plain,
    sum('#skF_1',n18) = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_61634,c_558]) ).

tff(c_63392,plain,
    sum('#skF_1','#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_63386,c_61685]) ).

tff(c_61686,plain,
    sum('#skF_1',n19) = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_61634,c_556]) ).

tff(c_61698,plain,
    pred(n18) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_61634,c_1314]) ).

tff(c_63395,plain,
    pred('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_63386,c_61698]) ).

tff(c_63451,plain,
    succ('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_63386,c_1356]) ).

tff(c_63387,plain,
    sum(sum(n16,succ('#skF_2')),sum(pred('#skF_2'),'#skF_2')) != sum(n13,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_63386,c_61980]) ).

tff(c_63733,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_692,c_63392,c_732,c_61686,c_63395,c_63395,c_63451,c_598,c_63451,c_63387]) ).

tff(c_63734,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_63384]) ).

tff(c_63736,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_63734]) ).

tff(c_63798,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_63736,c_1344]) ).

tff(c_63801,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_63736,c_1386]) ).

tff(c_63825,plain,
    sum(sum(n16,n4),sum(pred('#skF_2'),n18)) != sum(n13,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_63801,c_63801,c_61980]) ).

tff(c_63826,plain,
    sum(n20,sum(pred('#skF_2'),n18)) != sum(n13,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_628,c_63825]) ).

tff(c_64084,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_750,c_1216,c_63798,c_428,c_1188,c_63798,c_63826]) ).

tff(c_64085,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' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_63734]) ).

tff(c_64087,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_64085]) ).

tff(c_64094,plain,
    sum(sum(n16,succ('#skF_1')),sum(pred('#skF_1'),n18)) != sum(n13,sum(pred('#skF_1'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_64087,c_64087,c_64087,c_64087,c_61980]) ).

tff(c_64098,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_600,c_61695,c_61695,c_61696,c_61696,c_64094]) ).

tff(c_64099,plain,
    ( ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_64085]) ).

tff(c_64101,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_64099]) ).

tff(c_64163,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_64101,c_1384]) ).

tff(c_626,plain,
    sum(n16,n5) = n0,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1146,plain,
    sum(n3,n18) = n0,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_64165,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_64101,c_1342]) ).

tff(c_64194,plain,
    sum(sum(n16,succ('#skF_2')),sum(n3,n18)) != sum(n13,sum(n3,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_64165,c_64165,c_61980]) ).

tff(c_64195,plain,
    sum(sum(n16,succ('#skF_2')),n0) != sum(n13,sum(n3,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1146,c_64194]) ).

tff(c_64449,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_746,c_1172,c_64163,c_1308,c_626,c_64163,c_64195]) ).

tff(c_64450,plain,
    ( ( 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' )
    | ( n16 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_64099]) ).

tff(c_64452,plain,
    n16 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_64450]) ).

tff(c_602,plain,
    sum(n16,n17) = n12,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_61666,plain,
    sum(n16,'#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_61634,c_602]) ).

tff(c_64459,plain,
    sum('#skF_2','#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_64452,c_61666]) ).

tff(c_740,plain,
    sum(n13,n11) = n3,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_61664,plain,
    sum(n15,'#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_61634,c_644]) ).

tff(c_61697,plain,
    succ(n16) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_61634,c_1360]) ).

tff(c_64461,plain,
    succ('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_64452,c_61697]) ).

tff(c_64517,plain,
    pred('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_64452,c_1318]) ).

tff(c_64453,plain,
    sum(sum('#skF_2',succ('#skF_2')),sum(pred('#skF_2'),n18)) != sum(n13,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_64452,c_61980]) ).

tff(c_64799,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_780,c_64459,c_740,c_61664,c_64461,c_64461,c_64517,c_642,c_64517,c_64453]) ).

tff(c_64800,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' ) ),
    inference(splitRight,[status(thm)],[c_64450]) ).

tff(c_64802,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_64800]) ).

tff(c_64866,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_64802,c_1340]) ).

tff(c_742,plain,
    sum(n13,n10) = n2,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_624,plain,
    sum(n16,n6) = n1,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_64864,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_64802,c_1382]) ).

tff(c_64895,plain,
    sum(sum(n16,n6),sum(pred('#skF_2'),n18)) != sum(n13,sum(pred('#skF_2'),n6)),
    inference(demodulation,[status(thm),theory(equality)],[c_64864,c_64864,c_61980]) ).

tff(c_64896,plain,
    sum(n13,sum(pred('#skF_2'),n6)) != sum(n1,sum(pred('#skF_2'),n18)),
    inference(demodulation,[status(thm),theory(equality)],[c_624,c_64895]) ).

tff(c_65150,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1264,c_1104,c_64866,c_742,c_1128,c_64866,c_64896]) ).

tff(c_65151,plain,
    ( ( 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_64800]) ).

tff(c_65153,plain,
    n15 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_65151]) ).

tff(c_65215,plain,
    pred('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_65153,c_1320]) ).

tff(c_744,plain,
    sum(n13,n9) = n1,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_65218,plain,
    succ('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_65153,c_1362]) ).

tff(c_65242,plain,
    sum(sum(n16,n16),sum(pred('#skF_2'),n18)) != sum(n13,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_65218,c_65218,c_61980]) ).

tff(c_65243,plain,
    sum(n13,sum(pred('#skF_2'),n16)) != sum(n11,sum(pred('#skF_2'),n18)),
    inference(demodulation,[status(thm),theory(equality)],[c_604,c_65242]) ).

tff(c_65501,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_824,c_684,c_65215,c_744,c_688,c_65215,c_65243]) ).

tff(c_65502,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' ) ),
    inference(splitRight,[status(thm)],[c_65151]) ).

tff(c_65504,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_65502]) ).

tff(c_65567,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_65504,c_1338]) ).

tff(c_1062,plain,
    sum(n5,n18) = n2,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_622,plain,
    sum(n16,n7) = n2,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_65569,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_65504,c_1380]) ).

tff(c_65593,plain,
    sum(sum(n16,n7),sum(pred('#skF_2'),n18)) != sum(n13,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_65569,c_65569,c_61980]) ).

tff(c_65594,plain,
    sum(n2,sum(pred('#skF_2'),n18)) != sum(n13,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_622,c_65593]) ).

tff(c_65852,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_738,c_1084,c_65567,c_1220,c_1062,c_65567,c_65594]) ).

tff(c_65853,plain,
    ( ( 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_65502]) ).

tff(c_65855,plain,
    n14 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_65853]) ).

tff(c_65918,plain,
    pred('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_65855,c_1322]) ).

tff(c_748,plain,
    sum(n13,n7) = n20,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_606,plain,
    sum(n16,n15) = n10,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_65920,plain,
    succ('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_65855,c_1364]) ).

tff(c_65944,plain,
    sum(sum(n16,n15),sum(pred('#skF_2'),n18)) != sum(n13,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_65920,c_65920,c_61980]) ).

tff(c_65945,plain,
    sum(n13,sum(pred('#skF_2'),n15)) != sum(n10,sum(pred('#skF_2'),n18)),
    inference(demodulation,[status(thm),theory(equality)],[c_606,c_65944]) ).

tff(c_66203,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_868,c_726,c_65918,c_748,c_732,c_65918,c_65945]) ).

tff(c_66204,plain,
    ( ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_65853]) ).

tff(c_66206,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_66204]) ).

tff(c_66268,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_66206,c_1336]) ).

tff(c_620,plain,
    sum(n16,n8) = n3,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_66271,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_66206,c_1378]) ).

tff(c_66295,plain,
    sum(sum(n16,n8),sum(pred('#skF_2'),n18)) != sum(n13,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_66271,c_66271,c_61980]) ).

tff(c_66296,plain,
    sum(n3,sum(pred('#skF_2'),n18)) != sum(n13,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_620,c_66295]) ).

tff(c_66554,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_734,c_1040,c_66268,c_1176,c_1020,c_66268,c_66296]) ).

tff(c_66555,plain,
    ( ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_66204]) ).

tff(c_66557,plain,
    n13 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_66555]) ).

tff(c_66568,plain,
    sum('#skF_2',n5) = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_66557,c_752]) ).

tff(c_66621,plain,
    succ('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_66557,c_1366]) ).

tff(c_608,plain,
    sum(n16,n14) = n9,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_66623,plain,
    pred('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_66557,c_1324]) ).

tff(c_768,plain,
    sum(n12,n18) = n9,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_66558,plain,
    sum(sum(n16,succ('#skF_2')),sum(pred('#skF_2'),n18)) != sum('#skF_2',sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_66557,c_61980]) ).

tff(c_66904,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_66568,c_776,c_66621,c_912,c_608,c_66621,c_66623,c_768,c_66623,c_66558]) ).

tff(c_66905,plain,
    ( ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_66555]) ).

tff(c_66907,plain,
    n8 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_66905]) ).

tff(c_66950,plain,
    sum(n4,n4) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_66907,c_1132]) ).

tff(c_730,plain,
    sum(n13,n16) = n8,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_66944,plain,
    sum(n13,n16) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_66907,c_730]) ).

tff(c_66969,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_66907,c_1376]) ).

tff(c_618,plain,
    sum(n16,n9) = n4,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_978,plain,
    sum(n7,n18) = n4,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_66970,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_66907,c_1334]) ).

tff(c_67004,plain,
    sum(sum(n16,succ('#skF_2')),sum(n7,n18)) != sum(n13,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_66970,c_66970,c_61980]) ).

tff(c_67005,plain,
    sum(sum(n16,succ('#skF_2')),n4) != sum(n13,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_978,c_67004]) ).

tff(c_67255,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_66950,c_66944,c_996,c_66969,c_618,c_66969,c_67005]) ).

tff(c_67256,plain,
    ( ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_66905]) ).

tff(c_67258,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_67256]) ).

tff(c_67323,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_67258,c_1326]) ).

tff(c_610,plain,
    sum(n16,n13) = n8,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_67321,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_67258,c_1368]) ).

tff(c_67355,plain,
    sum(sum(n16,n13),sum(pred('#skF_2'),n18)) != sum(n13,sum(pred('#skF_2'),n13)),
    inference(demodulation,[status(thm),theory(equality)],[c_67321,c_67321,c_61980]) ).

tff(c_67356,plain,
    sum(n8,sum(pred('#skF_2'),n18)) != sum(n13,sum(pred('#skF_2'),n13)),
    inference(demodulation,[status(thm),theory(equality)],[c_610,c_67355]) ).

tff(c_67606,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_756,c_820,c_67323,c_956,c_810,c_67323,c_67356]) ).

tff(c_67607,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_67256]) ).

tff(c_67609,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_67607]) ).

tff(c_67673,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_67609,c_1332]) ).

tff(c_936,plain,
    sum(n8,n18) = n5,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_616,plain,
    sum(n16,n10) = n5,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_67671,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_67609,c_1374]) ).

tff(c_67698,plain,
    sum(sum(n16,n10),sum(pred('#skF_2'),n18)) != sum(n13,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_67671,c_67671,c_61980]) ).

tff(c_67699,plain,
    sum(n5,sum(pred('#skF_2'),n18)) != sum(n13,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_616,c_67698]) ).

tff(c_67957,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_726,c_952,c_67673,c_1088,c_936,c_67673,c_67699]) ).

tff(c_67958,plain,
    ( ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_67607]) ).

tff(c_67960,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_67958]) ).

tff(c_68025,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_67960,c_1328]) ).

tff(c_612,plain,
    sum(n16,n12) = n7,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_68022,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_67960,c_1370]) ).

tff(c_68049,plain,
    sum(sum(n16,n12),sum(pred('#skF_2'),n18)) != sum(n13,sum(pred('#skF_2'),n12)),
    inference(demodulation,[status(thm),theory(equality)],[c_68022,c_68022,c_61980]) ).

tff(c_68050,plain,
    sum(n7,sum(pred('#skF_2'),n18)) != sum(n13,sum(pred('#skF_2'),n12)),
    inference(demodulation,[status(thm),theory(equality)],[c_612,c_68049]) ).

tff(c_68308,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_760,c_864,c_68025,c_1000,c_852,c_68025,c_68050]) ).

tff(c_68309,plain,
    n10 = '#skF_2',
    inference(splitRight,[status(thm)],[c_67958]) ).

tff(c_68375,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_68309,c_1330]) ).

tff(c_894,plain,
    sum(n9,n18) = n6,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_614,plain,
    sum(n16,n11) = n6,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_68372,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_68309,c_1372]) ).

tff(c_68407,plain,
    sum(sum(n16,n11),sum(pred('#skF_2'),n18)) != sum(n13,sum(pred('#skF_2'),n11)),
    inference(demodulation,[status(thm),theory(equality)],[c_68372,c_68372,c_61980]) ).

tff(c_68408,plain,
    sum(n6,sum(pred('#skF_2'),n18)) != sum(n13,sum(pred('#skF_2'),n11)),
    inference(demodulation,[status(thm),theory(equality)],[c_614,c_68407]) ).

tff(c_68658,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_722,c_908,c_68375,c_1044,c_894,c_68375,c_68408]) ).

tff(c_68659,plain,
    ( ( n16 = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_56380]) ).

tff(c_68661,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_68659]) ).

tff(c_68724,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_68661,c_1342]) ).

tff(c_68722,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_68661,c_1384]) ).

tff(c_938,plain,
    sum(n8,n17) = n4,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_68674,plain,
    sum(n8,n17) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_68661,c_938]) ).

tff(c_69008,plain,
    ( ( n1 = '#skF_2' )
    | ( n2 = '#skF_2' )
    | ( n3 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n19 = '#skF_2' )
    | ( n20 = '#skF_2' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_68661,c_61632]) ).

tff(c_69009,plain,
    n20 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_69008]) ).

tff(c_69073,plain,
    succ('#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_69009,c_1352]) ).

tff(c_69074,plain,
    pred('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_69009,c_1310]) ).

tff(c_68754,plain,
    sum(sum(n3,succ('#skF_2')),sum(pred('#skF_2'),succ('#skF_1'))) != sum(sum(n3,succ('#skF_1')),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_68724,c_68724,c_422]) ).

tff(c_69007,plain,
    sum(sum(n3,succ('#skF_2')),sum(pred('#skF_2'),n5)) != sum(n8,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1172,c_68722,c_68722,c_68754]) ).

tff(c_69098,plain,
    sum(sum(n3,succ('#skF_2')),sum(n19,n5)) != sum(n8,sum(n19,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_69074,c_69074,c_69007]) ).

tff(c_69099,plain,
    sum(sum(n3,succ('#skF_2')),n3) != sum(n8,sum(n19,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_500,c_69098]) ).

tff(c_69357,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_934,c_510,c_69073,c_1176,c_1182,c_69073,c_69099]) ).

tff(c_69358,plain,
    ( ( n19 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n3 = '#skF_2' )
    | ( n2 = '#skF_2' )
    | ( n1 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_69008]) ).

tff(c_69360,plain,
    n1 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_69358]) ).

tff(c_69422,plain,
    pred('#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_69360,c_1348]) ).

tff(c_69425,plain,
    succ('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_69360,c_1390]) ).

tff(c_69449,plain,
    sum(sum(n3,n2),sum(pred('#skF_2'),n5)) != sum(n8,sum(pred('#skF_2'),n2)),
    inference(demodulation,[status(thm),theory(equality)],[c_69425,c_69425,c_69007]) ).

tff(c_69450,plain,
    sum(n8,sum(pred('#skF_2'),n2)) != sum(n5,sum(pred('#skF_2'),n5)),
    inference(demodulation,[status(thm),theory(equality)],[c_1178,c_69449]) ).

tff(c_69708,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1088,c_1298,c_69422,c_968,c_1304,c_69422,c_69450]) ).

tff(c_69709,plain,
    ( ( n2 = '#skF_2' )
    | ( n3 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n19 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_69358]) ).

tff(c_69711,plain,
    n19 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_69709]) ).

tff(c_69773,plain,
    succ('#skF_2') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_69711,c_1354]) ).

tff(c_68690,plain,
    sum(n2,n2) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_68661,c_1220]) ).

tff(c_69775,plain,
    pred('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_69711,c_1312]) ).

tff(c_69804,plain,
    sum(sum(n3,succ('#skF_2')),sum(n18,n5)) != sum(n8,sum(n18,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_69775,c_69775,c_69007]) ).

tff(c_69805,plain,
    sum(sum(n3,succ('#skF_2')),n2) != sum(n8,sum(n18,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_542,c_69804]) ).

tff(c_70059,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_68674,c_512,c_69773,c_68690,c_1142,c_69773,c_69805]) ).

tff(c_70060,plain,
    ( ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n3 = '#skF_2' )
    | ( n2 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_69709]) ).

tff(c_70062,plain,
    n2 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_70060]) ).

tff(c_70125,plain,
    pred('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_70062,c_1346]) ).

tff(c_68685,plain,
    sum(n8,'#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_68661,c_964]) ).

tff(c_68706,plain,
    sum(n1,n3) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_68661,c_1260]) ).

tff(c_70126,plain,
    succ('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_70062,c_1388]) ).

tff(c_70155,plain,
    sum(sum(n3,n3),sum(pred('#skF_2'),n5)) != sum(n8,sum(pred('#skF_2'),n3)),
    inference(demodulation,[status(thm),theory(equality)],[c_70126,c_70126,c_69007]) ).

tff(c_70156,plain,
    sum(n8,sum(pred('#skF_2'),n3)) != sum(n6,sum(pred('#skF_2'),n5)),
    inference(demodulation,[status(thm),theory(equality)],[c_1176,c_70155]) ).

tff(c_70410,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1044,c_1256,c_70125,c_68685,c_68706,c_70125,c_70156]) ).

tff(c_70411,plain,
    ( ( n3 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_70060]) ).

tff(c_70413,plain,
    n18 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_70411]) ).

tff(c_70475,plain,
    succ('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_70413,c_1356]) ).

tff(c_70478,plain,
    pred('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_70413,c_1314]) ).

tff(c_70502,plain,
    sum(sum(n3,succ('#skF_2')),sum(n17,n5)) != sum(n8,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_70478,c_70478,c_69007]) ).

tff(c_70503,plain,
    sum(sum(n3,succ('#skF_2')),n1) != sum(n8,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_584,c_70502]) ).

tff(c_70761,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_942,c_556,c_70475,c_1264,c_1144,c_70475,c_70503]) ).

tff(c_70762,plain,
    ( ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n3 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_70411]) ).

tff(c_70764,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_70762]) ).

tff(c_68676,plain,
    sum(n3,'#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_68661,c_1174]) ).

tff(c_70766,plain,
    sum('#skF_2','#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_70764,c_68676]) ).

tff(c_960,plain,
    sum(n8,n6) = n14,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_68687,plain,
    sum(n2,'#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_68661,c_1216]) ).

tff(c_68725,plain,
    succ(n3) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_68661,c_1386]) ).

tff(c_70773,plain,
    succ('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_70764,c_68725]) ).

tff(c_70829,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_70764,c_1344]) ).

tff(c_70765,plain,
    sum(sum('#skF_2',succ('#skF_2')),sum(pred('#skF_2'),n5)) != sum(n8,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_70764,c_69007]) ).

tff(c_71111,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1000,c_70766,c_960,c_68687,c_70773,c_70773,c_70829,c_1214,c_70829,c_70765]) ).

tff(c_71112,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( 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' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_70762]) ).

tff(c_71114,plain,
    n17 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_71112]) ).

tff(c_71176,plain,
    succ('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_71114,c_1358]) ).

tff(c_71177,plain,
    pred('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_71114,c_1316]) ).

tff(c_71207,plain,
    sum(sum(n3,succ('#skF_2')),sum(n16,n5)) != sum(n8,sum(n16,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_71177,c_71177,c_69007]) ).

tff(c_71208,plain,
    sum(sum(n3,succ('#skF_2')),n0) != sum(n8,sum(n16,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_626,c_71207]) ).

tff(c_71462,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_946,c_600,c_71176,c_1308,c_1146,c_71176,c_71208]) ).

tff(c_71463,plain,
    ( ( n16 = '#skF_2' )
    | ( 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' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_71112]) ).

tff(c_71465,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_71463]) ).

tff(c_71473,plain,
    sum(sum(n3,succ('#skF_1')),sum(pred('#skF_1'),n5)) != sum(n8,sum(pred('#skF_1'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_71465,c_71465,c_71465,c_71465,c_69007]) ).

tff(c_71477,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1172,c_68724,c_68724,c_68722,c_68722,c_71473]) ).

tff(c_71478,plain,
    ( ( 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' )
    | ( n16 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_71463]) ).

tff(c_71480,plain,
    n16 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_71478]) ).

tff(c_71544,plain,
    succ('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_71480,c_1360]) ).

tff(c_1148,plain,
    sum(n3,n17) = n20,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_71542,plain,
    pred('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_71480,c_1318]) ).

tff(c_71573,plain,
    sum(sum(n3,succ('#skF_2')),sum(n15,n5)) != sum(n8,sum(n15,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_71542,c_71542,c_69007]) ).

tff(c_71574,plain,
    sum(sum(n3,succ('#skF_2')),n20) != sum(n8,sum(n15,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_668,c_71573]) ).

tff(c_71828,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_950,c_644,c_71544,c_428,c_1148,c_71544,c_71574]) ).

tff(c_71829,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' ) ),
    inference(splitRight,[status(thm)],[c_71478]) ).

tff(c_71831,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_71829]) ).

tff(c_68678,plain,
    sum('#skF_1',n5) = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_68661,c_1130]) ).

tff(c_71837,plain,
    sum('#skF_1','#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_71831,c_68678]) ).

tff(c_68664,plain,
    sum('#skF_1',n6) = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_68661,c_1128]) ).

tff(c_68723,plain,
    pred(n5) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_68661,c_1340]) ).

tff(c_71840,plain,
    pred('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_71831,c_68723]) ).

tff(c_71896,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_71831,c_1382]) ).

tff(c_1170,plain,
    sum(n3,n6) = n9,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_71832,plain,
    sum(sum(n3,succ('#skF_2')),sum(pred('#skF_2'),'#skF_2')) != sum(n8,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_71831,c_69007]) ).

tff(c_72178,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_912,c_71837,c_952,c_68664,c_71840,c_71840,c_71896,c_1170,c_71896,c_71832]) ).

tff(c_72179,plain,
    ( ( 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_71829]) ).

tff(c_72181,plain,
    n15 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_72179]) ).

tff(c_72243,plain,
    pred('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_72181,c_1320]) ).

tff(c_954,plain,
    sum(n8,n9) = n17,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1150,plain,
    sum(n3,n16) = n19,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_72246,plain,
    succ('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_72181,c_1362]) ).

tff(c_72270,plain,
    sum(sum(n3,n16),sum(pred('#skF_2'),n5)) != sum(n8,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_72246,c_72246,c_69007]) ).

tff(c_72271,plain,
    sum(n8,sum(pred('#skF_2'),n16)) != sum(n19,sum(pred('#skF_2'),n5)),
    inference(demodulation,[status(thm),theory(equality)],[c_1150,c_72270]) ).

tff(c_72529,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_472,c_710,c_72243,c_954,c_688,c_72243,c_72271]) ).

tff(c_72530,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' ) ),
    inference(splitRight,[status(thm)],[c_72179]) ).

tff(c_72532,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_72530]) ).

tff(c_72595,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_72532,c_1338]) ).

tff(c_948,plain,
    sum(n8,n12) = n20,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1168,plain,
    sum(n3,n7) = n10,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_72597,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_72532,c_1380]) ).

tff(c_72621,plain,
    sum(sum(n3,n7),sum(pred('#skF_2'),n5)) != sum(n8,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_72597,c_72597,c_69007]) ).

tff(c_72622,plain,
    sum(n8,sum(pred('#skF_2'),n7)) != sum(n10,sum(pred('#skF_2'),n5)),
    inference(demodulation,[status(thm),theory(equality)],[c_1168,c_72621]) ).

tff(c_72880,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_868,c_1088,c_72595,c_948,c_1084,c_72595,c_72622]) ).

tff(c_72881,plain,
    ( ( 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_72530]) ).

tff(c_72883,plain,
    n14 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_72881]) ).

tff(c_72946,plain,
    pred('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_72883,c_1322]) ).

tff(c_958,plain,
    sum(n8,n7) = n15,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1152,plain,
    sum(n3,n15) = n18,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_72948,plain,
    succ('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_72883,c_1364]) ).

tff(c_72972,plain,
    sum(sum(n3,n15),sum(pred('#skF_2'),n5)) != sum(n8,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_72948,c_72948,c_69007]) ).

tff(c_72973,plain,
    sum(n8,sum(pred('#skF_2'),n15)) != sum(n18,sum(pred('#skF_2'),n5)),
    inference(demodulation,[status(thm),theory(equality)],[c_1152,c_72972]) ).

tff(c_73231,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_752,c_72946,c_958,c_732,c_72946,c_72973]) ).

tff(c_73232,plain,
    ( ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_72881]) ).

tff(c_73234,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_73232]) ).

tff(c_73296,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_73234,c_1336]) ).

tff(c_1166,plain,
    sum(n3,n8) = n11,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_73299,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_73234,c_1378]) ).

tff(c_73323,plain,
    sum(sum(n3,n8),sum(pred('#skF_2'),n5)) != sum(n8,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_73299,c_73299,c_69007]) ).

tff(c_73324,plain,
    sum(n8,sum(pred('#skF_2'),n8)) != sum(n11,sum(pred('#skF_2'),n5)),
    inference(demodulation,[status(thm),theory(equality)],[c_1166,c_73323]) ).

tff(c_73582,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_824,c_1046,c_73296,c_944,c_1040,c_73296,c_73324]) ).

tff(c_73583,plain,
    ( ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_73232]) ).

tff(c_73585,plain,
    n13 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_73583]) ).

tff(c_73638,plain,
    sum(n17,n17) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_73585,c_560]) ).

tff(c_73606,plain,
    sum(n8,n5) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_73585,c_962]) ).

tff(c_73648,plain,
    succ('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_73585,c_1366]) ).

tff(c_1154,plain,
    sum(n3,n14) = n17,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_73650,plain,
    pred('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_73585,c_1324]) ).

tff(c_73674,plain,
    sum(sum(n3,succ('#skF_2')),sum(n12,n5)) != sum(n8,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_73650,c_73650,c_69007]) ).

tff(c_73675,plain,
    sum(sum(n3,succ('#skF_2')),n17) != sum(n8,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_794,c_73674]) ).

tff(c_73933,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_73638,c_73606,c_776,c_73648,c_1154,c_73648,c_73675]) ).

tff(c_73934,plain,
    ( ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_73583]) ).

tff(c_73936,plain,
    n8 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_73934]) ).

tff(c_940,plain,
    sum(n8,n16) = n3,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_73944,plain,
    sum('#skF_2',n16) = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_73936,c_940]) ).

tff(c_74000,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_73936,c_1334]) ).

tff(c_1004,plain,
    sum(n7,n5) = n12,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_73999,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_73936,c_1376]) ).

tff(c_1164,plain,
    sum(n3,n9) = n12,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_73937,plain,
    sum(sum(n3,succ('#skF_2')),sum(pred('#skF_2'),n5)) != sum('#skF_2',sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_73936,c_69007]) ).

tff(c_74283,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_73944,c_996,c_74000,c_780,c_1004,c_74000,c_73999,c_1164,c_73999,c_73937]) ).

tff(c_74284,plain,
    ( ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_73934]) ).

tff(c_74286,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_74284]) ).

tff(c_74349,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_74286,c_1368]) ).

tff(c_1156,plain,
    sum(n3,n13) = n16,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_836,plain,
    sum(n11,n5) = n16,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_74351,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_74286,c_1326]) ).

tff(c_74379,plain,
    sum(sum(n3,succ('#skF_2')),sum(n11,n5)) != sum(n8,sum(n11,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_74351,c_74351,c_69007]) ).

tff(c_74380,plain,
    sum(sum(n3,succ('#skF_2')),n16) != sum(n8,sum(n11,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_836,c_74379]) ).

tff(c_74634,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_966,c_820,c_74349,c_604,c_1156,c_74349,c_74380]) ).

tff(c_74635,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_74284]) ).

tff(c_74637,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_74635]) ).

tff(c_74701,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_74637,c_1332]) ).

tff(c_1162,plain,
    sum(n3,n10) = n13,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_74699,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_74637,c_1374]) ).

tff(c_74726,plain,
    sum(sum(n3,n10),sum(pred('#skF_2'),n5)) != sum(n8,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_74699,c_74699,c_69007]) ).

tff(c_74727,plain,
    sum(n8,sum(pred('#skF_2'),n10)) != sum(n13,sum(pred('#skF_2'),n5)),
    inference(demodulation,[status(thm),theory(equality)],[c_1162,c_74726]) ).

tff(c_74985,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_736,c_962,c_74701,c_936,c_952,c_74701,c_74727]) ).

tff(c_74986,plain,
    ( ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_74635]) ).

tff(c_74988,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_74986]) ).

tff(c_75053,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_74988,c_1328]) ).

tff(c_1158,plain,
    sum(n3,n12) = n15,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_75050,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_74988,c_1370]) ).

tff(c_75077,plain,
    sum(sum(n3,n12),sum(pred('#skF_2'),n5)) != sum(n8,sum(pred('#skF_2'),n12)),
    inference(demodulation,[status(thm),theory(equality)],[c_75050,c_75050,c_69007]) ).

tff(c_75078,plain,
    sum(n8,sum(pred('#skF_2'),n12)) != sum(n15,sum(pred('#skF_2'),n5)),
    inference(demodulation,[status(thm),theory(equality)],[c_1158,c_75077]) ).

tff(c_75336,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_648,c_878,c_75053,c_970,c_864,c_75053,c_75078]) ).

tff(c_75337,plain,
    n10 = '#skF_2',
    inference(splitRight,[status(thm)],[c_74986]) ).

tff(c_75403,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_75337,c_1330]) ).

tff(c_1160,plain,
    sum(n3,n11) = n14,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_75400,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_75337,c_1372]) ).

tff(c_75435,plain,
    sum(sum(n3,n11),sum(pred('#skF_2'),n5)) != sum(n8,sum(pred('#skF_2'),n11)),
    inference(demodulation,[status(thm),theory(equality)],[c_75400,c_75400,c_69007]) ).

tff(c_75436,plain,
    sum(n8,sum(pred('#skF_2'),n11)) != sum(n14,sum(pred('#skF_2'),n5)),
    inference(demodulation,[status(thm),theory(equality)],[c_1160,c_75435]) ).

tff(c_75686,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_692,c_920,c_75403,c_932,c_908,c_75403,c_75436]) ).

tff(c_75687,plain,
    ( ( 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' )
    | ( n16 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_68659]) ).

tff(c_75689,plain,
    n16 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_75687]) ).

tff(c_814,plain,
    sum(n11,n16) = n6,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_75716,plain,
    sum(n11,'#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_75689,c_814]) ).

tff(c_75700,plain,
    sum(n7,n9) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_75689,c_996]) ).

tff(c_75712,plain,
    sum(n11,n5) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_75689,c_836]) ).

tff(c_818,plain,
    sum(n11,n14) = n4,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_832,plain,
    sum(n11,n7) = n18,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_1064,plain,
    sum(n5,n17) = n1,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_75752,plain,
    succ('#skF_1') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_75689,c_1360]) ).

tff(c_75750,plain,
    pred('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_75689,c_1318]) ).

tff(c_830,plain,
    sum(n11,n8) = n19,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_834,plain,
    sum(n11,n6) = n17,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_812,plain,
    sum(n11,n17) = n7,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_76036,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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n19 = '#skF_2' )
    | ( n20 = '#skF_2' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_75689,c_61632]) ).

tff(c_76037,plain,
    n20 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_76036]) ).

tff(c_76101,plain,
    succ('#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_76037,c_1352]) ).

tff(c_76102,plain,
    pred('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_76037,c_1310]) ).

tff(c_75778,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),n17)) != sum(sum(pred('#skF_1'),n17),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_75752,c_75752,c_422]) ).

tff(c_76035,plain,
    sum(sum(n15,succ('#skF_2')),sum(pred('#skF_2'),n17)) != sum(n11,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_644,c_75750,c_75750,c_75778]) ).

tff(c_76126,plain,
    sum(sum(n15,succ('#skF_2')),sum(n19,n17)) != sum(n11,sum(n19,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_76102,c_76102,c_76035]) ).

tff(c_76127,plain,
    sum(sum(n15,succ('#skF_2')),n15) != sum(n11,sum(n19,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_476,c_76126]) ).

tff(c_76385,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_808,c_510,c_76101,c_648,c_678,c_76101,c_76127]) ).

tff(c_76386,plain,
    ( ( n19 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_76036]) ).

tff(c_76388,plain,
    n1 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_76386]) ).

tff(c_76450,plain,
    pred('#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_76388,c_1348]) ).

tff(c_76453,plain,
    succ('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_76388,c_1390]) ).

tff(c_76477,plain,
    sum(sum(n15,n2),sum(pred('#skF_2'),n17)) != sum(n11,sum(pred('#skF_2'),n2)),
    inference(demodulation,[status(thm),theory(equality)],[c_76453,c_76453,c_76035]) ).

tff(c_76478,plain,
    sum(n17,sum(pred('#skF_2'),n17)) != sum(n11,sum(pred('#skF_2'),n2)),
    inference(demodulation,[status(thm),theory(equality)],[c_674,c_76477]) ).

tff(c_76736,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_842,c_1304,c_76450,c_560,c_1274,c_76450,c_76478]) ).

tff(c_76737,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' )
    | ( n15 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n19 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_76386]) ).

tff(c_76739,plain,
    n19 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_76737]) ).

tff(c_76803,plain,
    pred('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_76739,c_1312]) ).

tff(c_76801,plain,
    succ('#skF_2') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_76739,c_1354]) ).

tff(c_76836,plain,
    sum(sum(n15,n20),sum(pred('#skF_2'),n17)) != sum(n11,sum(pred('#skF_2'),n20)),
    inference(demodulation,[status(thm),theory(equality)],[c_76801,c_76801,c_76035]) ).

tff(c_76837,plain,
    sum(n14,sum(pred('#skF_2'),n17)) != sum(n11,sum(pred('#skF_2'),n20)),
    inference(demodulation,[status(thm),theory(equality)],[c_638,c_76836]) ).

tff(c_77087,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_812,c_512,c_76803,c_692,c_518,c_76803,c_76837]) ).

tff(c_77088,plain,
    ( ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_76737]) ).

tff(c_77090,plain,
    n2 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_77088]) ).

tff(c_77153,plain,
    pred('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_77090,c_1346]) ).

tff(c_77154,plain,
    succ('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_77090,c_1388]) ).

tff(c_77183,plain,
    sum(sum(n15,n3),sum(pred('#skF_2'),n17)) != sum(n11,sum(pred('#skF_2'),n3)),
    inference(demodulation,[status(thm),theory(equality)],[c_77154,c_77154,c_76035]) ).

tff(c_77184,plain,
    sum(n18,sum(pred('#skF_2'),n17)) != sum(n11,sum(pred('#skF_2'),n3)),
    inference(demodulation,[status(thm),theory(equality)],[c_672,c_77183]) ).

tff(c_77438,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_838,c_1260,c_77153,c_516,c_1232,c_77153,c_77184]) ).

tff(c_77439,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' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_77088]) ).

tff(c_77441,plain,
    n18 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_77439]) ).

tff(c_77503,plain,
    succ('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_77441,c_1356]) ).

tff(c_77506,plain,
    pred('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_77441,c_1314]) ).

tff(c_77530,plain,
    sum(sum(n15,succ('#skF_2')),sum(n17,n17)) != sum(n11,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_77506,c_77506,c_76035]) ).

tff(c_77531,plain,
    sum(sum(n15,succ('#skF_2')),n13) != sum(n11,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_560,c_77530]) ).

tff(c_77789,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_816,c_556,c_77503,c_736,c_640,c_77503,c_77531]) ).

tff(c_77790,plain,
    ( ( n17 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_77439]) ).

tff(c_77792,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_77790]) ).

tff(c_77854,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_77792,c_1344]) ).

tff(c_77857,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_77792,c_1386]) ).

tff(c_77881,plain,
    sum(sum(n15,n4),sum(pred('#skF_2'),n17)) != sum(n11,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_77857,c_77857,c_76035]) ).

tff(c_77882,plain,
    sum(n19,sum(pred('#skF_2'),n17)) != sum(n11,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_670,c_77881]) ).

tff(c_78140,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_834,c_1216,c_77854,c_472,c_1190,c_77854,c_77882]) ).

tff(c_78141,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' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n17 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_77790]) ).

tff(c_78143,plain,
    n17 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_78141]) ).

tff(c_75734,plain,
    sum('#skF_1',n17) = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_75689,c_602]) ).

tff(c_78148,plain,
    sum('#skF_1','#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_78143,c_75734]) ).

tff(c_75735,plain,
    sum('#skF_1',n18) = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_75689,c_600]) ).

tff(c_75751,plain,
    pred(n17) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_75689,c_1316]) ).

tff(c_78151,plain,
    pred('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_78143,c_75751]) ).

tff(c_78208,plain,
    succ('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_78143,c_1358]) ).

tff(c_78144,plain,
    sum(sum(n15,succ('#skF_2')),sum(pred('#skF_2'),'#skF_2')) != sum(n11,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_78143,c_76035]) ).

tff(c_78490,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_780,c_78148,c_820,c_75735,c_78151,c_78151,c_78208,c_642,c_78208,c_78144]) ).

tff(c_78491,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_78141]) ).

tff(c_78493,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_78491]) ).

tff(c_78557,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_78493,c_1342]) ).

tff(c_78555,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_78493,c_1384]) ).

tff(c_78590,plain,
    sum(sum(n15,n5),sum(pred('#skF_2'),n17)) != sum(n11,sum(pred('#skF_2'),n5)),
    inference(demodulation,[status(thm),theory(equality)],[c_78555,c_78555,c_76035]) ).

tff(c_78591,plain,
    sum(n20,sum(pred('#skF_2'),n17)) != sum(n11,sum(pred('#skF_2'),n5)),
    inference(demodulation,[status(thm),theory(equality)],[c_668,c_78590]) ).

tff(c_78841,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_830,c_1172,c_78557,c_428,c_1148,c_78557,c_78591]) ).

tff(c_78842,plain,
    ( ( 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' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_78491]) ).

tff(c_78844,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_78842]) ).

tff(c_78853,plain,
    sum(sum(n15,succ('#skF_1')),sum(pred('#skF_1'),n17)) != sum(n11,sum(pred('#skF_1'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_78844,c_78844,c_78844,c_78844,c_76035]) ).

tff(c_78857,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_644,c_75752,c_75752,c_75750,c_75750,c_78853]) ).

tff(c_78858,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' ) ),
    inference(splitRight,[status(thm)],[c_78842]) ).

tff(c_78860,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_78858]) ).

tff(c_78924,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_78860,c_1340]) ).

tff(c_826,plain,
    sum(n11,n10) = n0,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_78922,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_78860,c_1382]) ).

tff(c_78953,plain,
    sum(sum(n15,n6),sum(pred('#skF_2'),n17)) != sum(n11,sum(pred('#skF_2'),n6)),
    inference(demodulation,[status(thm),theory(equality)],[c_78922,c_78922,c_76035]) ).

tff(c_78954,plain,
    sum(n11,sum(pred('#skF_2'),n6)) != sum(n0,sum(pred('#skF_2'),n17)),
    inference(demodulation,[status(thm),theory(equality)],[c_666,c_78953]) ).

tff(c_79208,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1308,c_1106,c_78924,c_826,c_1128,c_78924,c_78954]) ).

tff(c_79209,plain,
    ( ( 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_78858]) ).

tff(c_79211,plain,
    n15 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_79209]) ).

tff(c_75715,plain,
    sum(n15,'#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_75689,c_646]) ).

tff(c_79215,plain,
    sum('#skF_2','#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_79211,c_75715]) ).

tff(c_828,plain,
    sum(n11,n9) = n20,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_75713,plain,
    sum(n14,'#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_75689,c_688]) ).

tff(c_75753,plain,
    succ(n15) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_75689,c_1362]) ).

tff(c_79220,plain,
    succ('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_79211,c_75753]) ).

tff(c_79276,plain,
    pred('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_79211,c_1320]) ).

tff(c_686,plain,
    sum(n14,n17) = n10,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_79212,plain,
    sum(sum('#skF_2',succ('#skF_2')),sum(pred('#skF_2'),n17)) != sum(n11,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_79211,c_76035]) ).

tff(c_79558,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_868,c_79215,c_828,c_75713,c_79220,c_79220,c_79276,c_686,c_79276,c_79212]) ).

tff(c_79559,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' ) ),
    inference(splitRight,[status(thm)],[c_79209]) ).

tff(c_79561,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_79559]) ).

tff(c_79624,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_79561,c_1338]) ).

tff(c_822,plain,
    sum(n11,n12) = n2,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_79626,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_79561,c_1380]) ).

tff(c_79650,plain,
    sum(sum(n15,n7),sum(pred('#skF_2'),n17)) != sum(n11,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_79626,c_79626,c_76035]) ).

tff(c_79651,plain,
    sum(n11,sum(pred('#skF_2'),n7)) != sum(n1,sum(pred('#skF_2'),n17)),
    inference(demodulation,[status(thm),theory(equality)],[c_664,c_79650]) ).

tff(c_79909,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1264,c_1064,c_79624,c_822,c_1084,c_79624,c_79651]) ).

tff(c_79910,plain,
    ( ( 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_79559]) ).

tff(c_79912,plain,
    n14 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_79910]) ).

tff(c_79975,plain,
    pred('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_79912,c_1322]) ).

tff(c_79977,plain,
    succ('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_79912,c_1364]) ).

tff(c_80001,plain,
    sum(sum(n15,n15),sum(pred('#skF_2'),n17)) != sum(n11,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_79977,c_79977,c_76035]) ).

tff(c_80002,plain,
    sum(n9,sum(pred('#skF_2'),n17)) != sum(n11,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_648,c_80001]) ).

tff(c_80260,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_832,c_732,c_79975,c_912,c_728,c_79975,c_80002]) ).

tff(c_80261,plain,
    ( ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_79910]) ).

tff(c_80263,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_80261]) ).

tff(c_80325,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_80263,c_1336]) ).

tff(c_80328,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_80263,c_1378]) ).

tff(c_80352,plain,
    sum(sum(n15,n8),sum(pred('#skF_2'),n17)) != sum(n11,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_80328,c_80328,c_76035]) ).

tff(c_80353,plain,
    sum(n2,sum(pred('#skF_2'),n17)) != sum(n11,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_662,c_80352]) ).

tff(c_80611,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_818,c_1040,c_80325,c_1220,c_1022,c_80325,c_80353]) ).

tff(c_80612,plain,
    ( ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_80261]) ).

tff(c_80614,plain,
    n13 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_80612]) ).

tff(c_80677,plain,
    succ('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_80614,c_1366]) ).

tff(c_75740,plain,
    sum(n8,n8) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_75689,c_956]) ).

tff(c_770,plain,
    sum(n12,n17) = n8,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_80679,plain,
    pred('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_80614,c_1324]) ).

tff(c_80703,plain,
    sum(sum(n15,succ('#skF_2')),sum(n12,n17)) != sum(n11,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_80679,c_80679,c_76035]) ).

tff(c_80704,plain,
    sum(sum(n15,succ('#skF_2')),n8) != sum(n11,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_770,c_80703]) ).

tff(c_80962,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_75712,c_776,c_80677,c_75740,c_650,c_80677,c_80704]) ).

tff(c_80963,plain,
    ( ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_80612]) ).

tff(c_80965,plain,
    n8 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_80963]) ).

tff(c_81027,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_80965,c_1376]) ).

tff(c_980,plain,
    sum(n7,n17) = n3,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_81028,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_80965,c_1334]) ).

tff(c_81062,plain,
    sum(sum(n15,succ('#skF_2')),sum(n7,n17)) != sum(n11,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_81028,c_81028,c_76035]) ).

tff(c_81063,plain,
    sum(sum(n15,succ('#skF_2')),n3) != sum(n11,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_980,c_81062]) ).

tff(c_81313,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_75716,c_75700,c_81027,c_1176,c_660,c_81027,c_81063]) ).

tff(c_81314,plain,
    ( ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_80963]) ).

tff(c_81316,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_81314]) ).

tff(c_81381,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_81316,c_1326]) ).

tff(c_81379,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_81316,c_1368]) ).

tff(c_81413,plain,
    sum(sum(n15,n13),sum(pred('#skF_2'),n17)) != sum(n11,sum(pred('#skF_2'),n13)),
    inference(demodulation,[status(thm),theory(equality)],[c_81379,c_81379,c_76035]) ).

tff(c_81414,plain,
    sum(n7,sum(pred('#skF_2'),n17)) != sum(n11,sum(pred('#skF_2'),n13)),
    inference(demodulation,[status(thm),theory(equality)],[c_652,c_81413]) ).

tff(c_81664,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_840,c_820,c_81381,c_1000,c_812,c_81381,c_81414]) ).

tff(c_81665,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_81314]) ).

tff(c_81667,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_81665]) ).

tff(c_81731,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_81667,c_1332]) ).

tff(c_81729,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_81667,c_1374]) ).

tff(c_81756,plain,
    sum(sum(n15,n10),sum(pred('#skF_2'),n17)) != sum(n11,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_81729,c_81729,c_76035]) ).

tff(c_81757,plain,
    sum(n4,sum(pred('#skF_2'),n17)) != sum(n11,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_658,c_81756]) ).

tff(c_82015,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_810,c_952,c_81731,c_1132,c_938,c_81731,c_81757]) ).

tff(c_82016,plain,
    ( ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_81665]) ).

tff(c_82018,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_82016]) ).

tff(c_82057,plain,
    sum('#skF_2',n1) = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_82018,c_844]) ).

tff(c_82084,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_82018,c_1328]) ).

tff(c_854,plain,
    sum(n10,n17) = n6,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_82081,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_82018,c_1370]) ).

tff(c_82019,plain,
    sum(sum(n15,succ('#skF_2')),sum(pred('#skF_2'),n17)) != sum('#skF_2',sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_82018,c_76035]) ).

tff(c_82365,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_82057,c_864,c_82084,c_1044,c_854,c_82084,c_82081,c_654,c_82081,c_82019]) ).

tff(c_82366,plain,
    n10 = '#skF_2',
    inference(splitRight,[status(thm)],[c_82016]) ).

tff(c_82377,plain,
    sum(n11,n20) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_82366,c_806]) ).

tff(c_82408,plain,
    sum(n5,n5) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_82366,c_1088]) ).

tff(c_82429,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_82366,c_1372]) ).

tff(c_896,plain,
    sum(n9,n17) = n5,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_82432,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_82366,c_1330]) ).

tff(c_82460,plain,
    sum(sum(n15,succ('#skF_2')),sum(n9,n17)) != sum(n11,sum(n9,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_82432,c_82432,c_76035]) ).

tff(c_82461,plain,
    sum(sum(n15,succ('#skF_2')),n5) != sum(n11,sum(n9,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_896,c_82460]) ).

tff(c_82715,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_82377,c_82408,c_908,c_82429,c_656,c_82429,c_82461]) ).

tff(c_82716,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' ) ),
    inference(splitRight,[status(thm)],[c_75687]) ).

tff(c_91134,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_82716]) ).

tff(c_91833,plain,
    sum(n10,n16) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_91134,c_856]) ).

tff(c_91836,plain,
    sum(n10,'#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_91134,c_878]) ).

tff(c_91805,plain,
    sum(n12,n14) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_91134,c_776]) ).

tff(c_874,plain,
    sum(n10,n7) = n17,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_870,plain,
    sum(n10,n9) = n19,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_91867,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_91134,c_1340]) ).

tff(c_91865,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_91134,c_1382]) ).

tff(c_876,plain,
    sum(n10,n6) = n16,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_91196,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_91134,c_1382]) ).

tff(c_91198,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_91134,c_1340]) ).

tff(c_82718,plain,
    n20 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_61632]) ).

tff(c_82722,plain,
    sum(n10,n10) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_82718,c_868]) ).

tff(c_83066,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_82716]) ).

tff(c_83130,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_83066,c_1340]) ).

tff(c_83128,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_83066,c_1382]) ).

tff(c_82782,plain,
    succ('#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_82718,c_1352]) ).

tff(c_82783,plain,
    pred('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_82718,c_1310]) ).

tff(c_82808,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n19,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n19,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_82783,c_82783,c_422]) ).

tff(c_83065,plain,
    sum(sum(pred('#skF_1'),n0),sum(n19,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n19),
    inference(demodulation,[status(thm),theory(equality)],[c_510,c_82782,c_82782,c_82808]) ).

tff(c_83159,plain,
    sum(sum(pred('#skF_1'),n0),sum(n19,n6)) != sum(sum(pred('#skF_1'),n6),n19),
    inference(demodulation,[status(thm),theory(equality)],[c_83128,c_83128,c_83065]) ).

tff(c_83160,plain,
    sum(sum(pred('#skF_1'),n6),n19) != sum(sum(pred('#skF_1'),n0),n4),
    inference(demodulation,[status(thm),theory(equality)],[c_498,c_83159]) ).

tff(c_83414,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1132,c_1140,c_83130,c_850,c_1128,c_83130,c_83160]) ).

tff(c_83415,plain,
    ( ( 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_82716]) ).

tff(c_83417,plain,
    n15 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_83415]) ).

tff(c_83479,plain,
    pred('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_83417,c_1320]) ).

tff(c_83482,plain,
    succ('#skF_1') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_83417,c_1362]) ).

tff(c_83506,plain,
    sum(sum(pred('#skF_1'),n0),sum(n19,n16)) != sum(sum(pred('#skF_1'),n16),n19),
    inference(demodulation,[status(thm),theory(equality)],[c_83482,c_83482,c_83065]) ).

tff(c_83507,plain,
    sum(sum(pred('#skF_1'),n16),n19) != sum(sum(pred('#skF_1'),n0),n14),
    inference(demodulation,[status(thm),theory(equality)],[c_478,c_83506]) ).

tff(c_83765,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_692,c_720,c_83479,c_892,c_688,c_83479,c_83507]) ).

tff(c_83766,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' ) ),
    inference(splitRight,[status(thm)],[c_83415]) ).

tff(c_83768,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_83766]) ).

tff(c_83831,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_83768,c_1338]) ).

tff(c_83833,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_83768,c_1380]) ).

tff(c_83857,plain,
    sum(sum(pred('#skF_1'),n0),sum(n19,n7)) != sum(sum(pred('#skF_1'),n7),n19),
    inference(demodulation,[status(thm),theory(equality)],[c_83833,c_83833,c_83065]) ).

tff(c_83858,plain,
    sum(sum(pred('#skF_1'),n7),n19) != sum(sum(pred('#skF_1'),n0),n5),
    inference(demodulation,[status(thm),theory(equality)],[c_496,c_83857]) ).

tff(c_84116,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1088,c_1098,c_83831,c_766,c_1084,c_83831,c_83858]) ).

tff(c_84117,plain,
    ( ( 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_83766]) ).

tff(c_84119,plain,
    n14 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_84117]) ).

tff(c_84182,plain,
    pred('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_84119,c_1322]) ).

tff(c_84184,plain,
    succ('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_84119,c_1364]) ).

tff(c_84208,plain,
    sum(sum(pred('#skF_1'),n0),sum(n19,n15)) != sum(sum(pred('#skF_1'),n15),n19),
    inference(demodulation,[status(thm),theory(equality)],[c_84184,c_84184,c_83065]) ).

tff(c_84209,plain,
    sum(sum(pred('#skF_1'),n15),n19) != sum(sum(pred('#skF_1'),n0),n13),
    inference(demodulation,[status(thm),theory(equality)],[c_480,c_84208]) ).

tff(c_84467,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_736,c_762,c_84182,c_976,c_732,c_84182,c_84209]) ).

tff(c_84468,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_84117]) ).

tff(c_84470,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_84468]) ).

tff(c_84532,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_84470,c_1336]) ).

tff(c_84535,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_84470,c_1378]) ).

tff(c_84559,plain,
    sum(sum(pred('#skF_1'),n0),sum(n19,n8)) != sum(sum(pred('#skF_1'),n8),n19),
    inference(demodulation,[status(thm),theory(equality)],[c_84535,c_84535,c_83065]) ).

tff(c_84560,plain,
    sum(sum(pred('#skF_1'),n8),n19) != sum(sum(pred('#skF_1'),n0),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_494,c_84559]) ).

tff(c_84818,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1044,c_1056,c_84532,c_682,c_1040,c_84532,c_84560]) ).

tff(c_84819,plain,
    ( ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_84468]) ).

tff(c_84821,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_84819]) ).

tff(c_84884,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_84821,c_1366]) ).

tff(c_84886,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_84821,c_1324]) ).

tff(c_84910,plain,
    sum(sum(n12,n0),sum(n19,succ('#skF_1'))) != sum(sum(n12,succ('#skF_1')),n19),
    inference(demodulation,[status(thm),theory(equality)],[c_84886,c_84886,c_83065]) ).

tff(c_84911,plain,
    sum(sum(n12,succ('#skF_1')),n19) != sum(n12,sum(n19,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_804,c_84910]) ).

tff(c_85169,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_780,c_482,c_84884,c_1060,c_776,c_84884,c_84911]) ).

tff(c_85170,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_84819]) ).

tff(c_85172,plain,
    n8 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_85170]) ).

tff(c_85234,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_85172,c_1376]) ).

tff(c_85235,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_85172,c_1334]) ).

tff(c_85269,plain,
    sum(sum(n7,n0),sum(n19,succ('#skF_1'))) != sum(sum(n7,succ('#skF_1')),n19),
    inference(demodulation,[status(thm),theory(equality)],[c_85235,c_85235,c_83065]) ).

tff(c_85270,plain,
    sum(sum(n7,succ('#skF_1')),n19) != sum(n7,sum(n19,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1014,c_85269]) ).

tff(c_85520,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1000,c_492,c_85234,c_598,c_996,c_85234,c_85270]) ).

tff(c_85521,plain,
    ( ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_85170]) ).

tff(c_85523,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_85521]) ).

tff(c_85588,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_85523,c_1326]) ).

tff(c_85586,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_85523,c_1368]) ).

tff(c_85620,plain,
    sum(sum(pred('#skF_1'),n0),sum(n19,n13)) != sum(sum(pred('#skF_1'),n13),n19),
    inference(demodulation,[status(thm),theory(equality)],[c_85586,c_85586,c_83065]) ).

tff(c_85621,plain,
    sum(sum(pred('#skF_1'),n13),n19) != sum(sum(pred('#skF_1'),n0),n11),
    inference(demodulation,[status(thm),theory(equality)],[c_484,c_85620]) ).

tff(c_85871,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_824,c_846,c_85588,c_1144,c_820,c_85588,c_85621]) ).

tff(c_85872,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_85521]) ).

tff(c_85874,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_85872]) ).

tff(c_85938,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_85874,c_1332]) ).

tff(c_85936,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_85874,c_1374]) ).

tff(c_85963,plain,
    sum(sum(pred('#skF_1'),n0),sum(n19,n10)) != sum(sum(pred('#skF_1'),n10),n19),
    inference(demodulation,[status(thm),theory(equality)],[c_85936,c_85936,c_83065]) ).

tff(c_85964,plain,
    sum(sum(pred('#skF_1'),n10),n19) != sum(sum(pred('#skF_1'),n0),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_490,c_85963]) ).

tff(c_86222,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_956,c_972,c_85938,c_514,c_952,c_85938,c_85964]) ).

tff(c_86223,plain,
    ( ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_85872]) ).

tff(c_86225,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_86223]) ).

tff(c_86290,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_86225,c_1328]) ).

tff(c_82739,plain,
    sum(n1,n19) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_82718,c_1228]) ).

tff(c_86287,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_86225,c_1370]) ).

tff(c_86314,plain,
    sum(sum(pred('#skF_1'),n0),sum(n19,n12)) != sum(sum(pred('#skF_1'),n12),n19),
    inference(demodulation,[status(thm),theory(equality)],[c_86287,c_86287,c_83065]) ).

tff(c_86315,plain,
    sum(sum(pred('#skF_1'),n12),n19) != sum(sum(pred('#skF_1'),n0),n10),
    inference(demodulation,[status(thm),theory(equality)],[c_486,c_86314]) ).

tff(c_86573,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_82722,c_888,c_86290,c_82739,c_864,c_86290,c_86315]) ).

tff(c_86574,plain,
    n10 = '#skF_1',
    inference(splitRight,[status(thm)],[c_86223]) ).

tff(c_86637,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_86574,c_1372]) ).

tff(c_82740,plain,
    sum('#skF_2',n19) = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_82718,c_430]) ).

tff(c_82776,plain,
    sum(n9,n11) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_82718,c_908]) ).

tff(c_86640,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_86574,c_1330]) ).

tff(c_86668,plain,
    sum(sum(n9,n0),sum(n19,succ('#skF_1'))) != sum(sum(n9,succ('#skF_1')),n19),
    inference(demodulation,[status(thm),theory(equality)],[c_86640,c_86640,c_83065]) ).

tff(c_86669,plain,
    sum(sum(n9,succ('#skF_1')),n19) != sum(n9,sum(n19,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_930,c_86668]) ).

tff(c_86923,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_912,c_488,c_86637,c_82740,c_82776,c_86637,c_86669]) ).

tff(c_86924,plain,
    ( ( n19 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_61632]) ).

tff(c_86926,plain,
    n1 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_86924]) ).

tff(c_86954,plain,
    sum(n11,n11) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_86926,c_824]) ).

tff(c_86956,plain,
    sum('#skF_2',n2) = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_86926,c_1262]) ).

tff(c_86955,plain,
    sum(n10,n12) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_86926,c_864]) ).

tff(c_87274,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_82716]) ).

tff(c_87338,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_87274,c_1340]) ).

tff(c_87336,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_87274,c_1382]) ).

tff(c_86988,plain,
    pred('#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_86926,c_1348]) ).

tff(c_86991,plain,
    succ('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_86926,c_1390]) ).

tff(c_87016,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n2)) != sum(sum(pred('#skF_1'),n2),sum(pred('#skF_2'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_86991,c_86991,c_422]) ).

tff(c_87273,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_86988,c_1304,c_86988,c_87016]) ).

tff(c_87367,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n6)) != sum(sum(pred('#skF_1'),n6),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_87336,c_87336,c_87273]) ).

tff(c_87368,plain,
    sum(sum(pred('#skF_1'),n6),n2) != sum(sum(pred('#skF_1'),n2),n6),
    inference(demodulation,[status(thm),theory(equality)],[c_1296,c_87367]) ).

tff(c_87622,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1044,c_1136,c_87338,c_884,c_1128,c_87338,c_87368]) ).

tff(c_87623,plain,
    ( ( 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_82716]) ).

tff(c_87625,plain,
    n15 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_87623]) ).

tff(c_87687,plain,
    pred('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_87625,c_1320]) ).

tff(c_87690,plain,
    succ('#skF_1') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_87625,c_1362]) ).

tff(c_87714,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n16)) != sum(sum(pred('#skF_1'),n16),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_87690,c_87690,c_87273]) ).

tff(c_87715,plain,
    sum(sum(pred('#skF_1'),n2),n16) != sum(sum(pred('#skF_1'),n16),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_1276,c_87714]) ).

tff(c_87973,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_926,c_688,c_87687,c_604,c_716,c_87687,c_87715]) ).

tff(c_87974,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' ) ),
    inference(splitRight,[status(thm)],[c_87623]) ).

tff(c_87976,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_87974]) ).

tff(c_88039,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_87976,c_1338]) ).

tff(c_88041,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_87976,c_1380]) ).

tff(c_88065,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n7)) != sum(sum(pred('#skF_1'),n7),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_88041,c_88041,c_87273]) ).

tff(c_88066,plain,
    sum(sum(pred('#skF_1'),n7),n2) != sum(sum(pred('#skF_1'),n2),n7),
    inference(demodulation,[status(thm),theory(equality)],[c_1294,c_88065]) ).

tff(c_88324,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1000,c_1094,c_88039,c_800,c_1084,c_88039,c_88066]) ).

tff(c_88325,plain,
    ( ( 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_87974]) ).

tff(c_88327,plain,
    n14 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_88325]) ).

tff(c_88390,plain,
    pred('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_88327,c_1322]) ).

tff(c_88392,plain,
    succ('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_88327,c_1364]) ).

tff(c_88416,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n15)) != sum(sum(pred('#skF_1'),n15),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_88392,c_88392,c_87273]) ).

tff(c_88417,plain,
    sum(sum(pred('#skF_1'),n2),n15) != sum(sum(pred('#skF_1'),n15),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_1278,c_88416]) ).

tff(c_88675,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1010,c_732,c_88390,c_648,c_758,c_88390,c_88417]) ).

tff(c_88676,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_88325]) ).

tff(c_88678,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_88676]) ).

tff(c_88740,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_88678,c_1336]) ).

tff(c_88743,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_88678,c_1378]) ).

tff(c_88767,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n8)) != sum(sum(pred('#skF_1'),n8),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_88743,c_88743,c_87273]) ).

tff(c_88768,plain,
    sum(sum(pred('#skF_1'),n8),n2) != sum(sum(pred('#skF_1'),n2),n8),
    inference(demodulation,[status(thm),theory(equality)],[c_1292,c_88767]) ).

tff(c_89026,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_956,c_1052,c_88740,c_716,c_1040,c_88740,c_88768]) ).

tff(c_89027,plain,
    ( ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_88676]) ).

tff(c_89029,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_89027]) ).

tff(c_89092,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_89029,c_1366]) ).

tff(c_89094,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_89029,c_1324]) ).

tff(c_89118,plain,
    sum(sum(n12,n2),sum(n0,succ('#skF_1'))) != sum(sum(n12,succ('#skF_1')),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_89094,c_89094,c_87273]) ).

tff(c_89119,plain,
    sum(sum(n12,succ('#skF_1')),n2) != sum(n14,sum(n0,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_800,c_89118]) ).

tff(c_89377,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_692,c_1280,c_89092,c_1094,c_776,c_89092,c_89119]) ).

tff(c_89378,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_89027]) ).

tff(c_89380,plain,
    n8 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_89378]) ).

tff(c_89443,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_89380,c_1334]) ).

tff(c_89442,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_89380,c_1376]) ).

tff(c_89473,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n9)) != sum(sum(pred('#skF_1'),n9),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_89442,c_89442,c_87273]) ).

tff(c_89474,plain,
    sum(sum(pred('#skF_1'),n9),n2) != sum(sum(pred('#skF_1'),n2),n9),
    inference(demodulation,[status(thm),theory(equality)],[c_1290,c_89473]) ).

tff(c_89728,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_912,c_1010,c_89443,c_632,c_996,c_89443,c_89474]) ).

tff(c_89729,plain,
    ( ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_89378]) ).

tff(c_89731,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_89729]) ).

tff(c_89796,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_89731,c_1326]) ).

tff(c_89794,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_89731,c_1368]) ).

tff(c_89828,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n13)) != sum(sum(pred('#skF_1'),n13),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_89794,c_89794,c_87273]) ).

tff(c_89829,plain,
    sum(sum(pred('#skF_1'),n2),n13) != sum(sum(pred('#skF_1'),n13),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_1282,c_89828]) ).

tff(c_90079,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1178,c_820,c_89796,c_736,c_842,c_89796,c_89829]) ).

tff(c_90080,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_89729]) ).

tff(c_90082,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_90080]) ).

tff(c_90146,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_90082,c_1332]) ).

tff(c_90144,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_90082,c_1374]) ).

tff(c_90171,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n10)) != sum(sum(pred('#skF_1'),n10),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_90144,c_90144,c_87273]) ).

tff(c_90172,plain,
    sum(sum(pred('#skF_1'),n2),n10) != sum(sum(pred('#skF_1'),n10),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_1288,c_90171]) ).

tff(c_90430,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_548,c_952,c_90146,c_868,c_968,c_90146,c_90172]) ).

tff(c_90431,plain,
    ( ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_90080]) ).

tff(c_90433,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_90431]) ).

tff(c_90498,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_90433,c_1328]) ).

tff(c_90495,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_90433,c_1370]) ).

tff(c_90522,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n12)) != sum(sum(pred('#skF_1'),n12),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_90495,c_90495,c_87273]) ).

tff(c_90523,plain,
    sum(sum(pred('#skF_1'),n2),n12) != sum(sum(pred('#skF_1'),n12),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_1284,c_90522]) ).

tff(c_90781,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_86956,c_86955,c_90498,c_780,c_884,c_90498,c_90523]) ).

tff(c_90782,plain,
    n10 = '#skF_1',
    inference(splitRight,[status(thm)],[c_90431]) ).

tff(c_90845,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_90782,c_1372]) ).

tff(c_86945,plain,
    sum(n20,n2) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_86926,c_464]) ).

tff(c_90848,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_90782,c_1330]) ).

tff(c_90876,plain,
    sum(sum(n9,n2),sum(n0,succ('#skF_1'))) != sum(sum(n9,succ('#skF_1')),n2),
    inference(demodulation,[status(thm),theory(equality)],[c_90848,c_90848,c_87273]) ).

tff(c_90877,plain,
    sum(sum(n9,succ('#skF_1')),n2) != sum(n11,sum(n0,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_926,c_90876]) ).

tff(c_91131,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_86954,c_1286,c_90845,c_86945,c_908,c_90845,c_90877]) ).

tff(c_91132,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' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n19 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_86924]) ).

tff(c_91135,plain,
    n19 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_91132]) ).

tff(c_91281,plain,
    pred('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_91135,c_1312]) ).

tff(c_91279,plain,
    succ('#skF_2') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_91135,c_1354]) ).

tff(c_91310,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n20)) != sum(sum(pred('#skF_1'),n20),sum(pred('#skF_2'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_91279,c_91279,c_422]) ).

tff(c_91802,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1176,c_540,c_91196,c_854,c_1128,c_91196,c_91198,c_1100,c_91198,c_91281,c_512,c_91281,c_91310]) ).

tff(c_91803,plain,
    ( ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_91132]) ).

tff(c_92151,plain,
    ( ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n4 = '#skF_2' )
    | ( n3 = '#skF_2' )
    | ( n2 = '#skF_2' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_91134,c_91803]) ).

tff(c_92152,plain,
    n2 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_92151]) ).

tff(c_92216,plain,
    succ('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_92152,c_1388]) ).

tff(c_92215,plain,
    pred('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_92152,c_1346]) ).

tff(c_91897,plain,
    sum(sum(n4,succ('#skF_2')),sum(pred('#skF_2'),succ('#skF_1'))) != sum(sum(n4,succ('#skF_1')),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_91867,c_91867,c_422]) ).

tff(c_92150,plain,
    sum(sum(n4,succ('#skF_2')),sum(pred('#skF_2'),n6)) != sum(n10,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1128,c_91865,c_91865,c_91897]) ).

tff(c_92245,plain,
    sum(sum(n4,succ('#skF_2')),sum(n1,n6)) != sum(n10,sum(n1,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_92215,c_92215,c_92150]) ).

tff(c_92246,plain,
    sum(sum(n4,succ('#skF_2')),n7) != sum(n10,sum(n1,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1254,c_92245]) ).

tff(c_92500,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_880,c_1260,c_92216,c_1000,c_1134,c_92216,c_92246]) ).

tff(c_92501,plain,
    ( ( n3 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_92151]) ).

tff(c_92503,plain,
    n18 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_92501]) ).

tff(c_92565,plain,
    succ('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_92503,c_1356]) ).

tff(c_92568,plain,
    pred('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_92503,c_1314]) ).

tff(c_92592,plain,
    sum(sum(n4,succ('#skF_2')),sum(n17,n6)) != sum(n10,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_92568,c_92568,c_92150]) ).

tff(c_92593,plain,
    sum(sum(n4,succ('#skF_2')),n2) != sum(n10,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_582,c_92592]) ).

tff(c_92851,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_858,c_556,c_92565,c_1220,c_1102,c_92565,c_92593]) ).

tff(c_92852,plain,
    ( ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n4 = '#skF_2' )
    | ( n3 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_92501]) ).

tff(c_92854,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_92852]) ).

tff(c_92916,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_92854,c_1344]) ).

tff(c_92919,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_92854,c_1386]) ).

tff(c_92943,plain,
    sum(sum(n4,n4),sum(pred('#skF_2'),n6)) != sum(n10,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_92919,c_92919,c_92150]) ).

tff(c_92944,plain,
    sum(n8,sum(pred('#skF_2'),n6)) != sum(n10,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_1132,c_92943]) ).

tff(c_93202,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_876,c_1216,c_92916,c_956,c_1212,c_92916,c_92944]) ).

tff(c_93203,plain,
    ( ( n4 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_92852]) ).

tff(c_93205,plain,
    n17 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_93203]) ).

tff(c_93268,plain,
    pred('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_93205,c_1316]) ).

tff(c_862,plain,
    sum(n10,n13) = n2,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_93267,plain,
    succ('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_93205,c_1358]) ).

tff(c_93302,plain,
    sum(sum(n4,n18),sum(pred('#skF_2'),n6)) != sum(n10,sum(pred('#skF_2'),n18)),
    inference(demodulation,[status(thm),theory(equality)],[c_93267,c_93267,c_92150]) ).

tff(c_93303,plain,
    sum(n10,sum(pred('#skF_2'),n18)) != sum(n1,sum(pred('#skF_2'),n6)),
    inference(demodulation,[status(thm),theory(equality)],[c_1104,c_93302]) ).

tff(c_93553,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1264,c_624,c_93268,c_862,c_600,c_93268,c_93303]) ).

tff(c_93554,plain,
    ( ( n16 = '#skF_2' )
    | ( 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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n4 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_93203]) ).

tff(c_93556,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_93554]) ).

tff(c_91816,plain,
    sum(n4,'#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_91134,c_1130]) ).

tff(c_93560,plain,
    sum('#skF_2','#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_93556,c_91816]) ).

tff(c_872,plain,
    sum(n10,n8) = n18,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_91859,plain,
    sum(n3,'#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_91134,c_1172]) ).

tff(c_91866,plain,
    succ(n4) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_91134,c_1384]) ).

tff(c_93564,plain,
    succ('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_93556,c_91866]) ).

tff(c_93621,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_93556,c_1342]) ).

tff(c_93557,plain,
    sum(sum('#skF_2',succ('#skF_2')),sum(pred('#skF_2'),n6)) != sum(n10,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_93556,c_92150]) ).

tff(c_93903,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_912,c_93560,c_872,c_91859,c_93564,c_93564,c_93621,c_1170,c_93621,c_93557]) ).

tff(c_93904,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( 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' )
    | ( n16 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_93554]) ).

tff(c_93906,plain,
    n16 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_93904]) ).

tff(c_93968,plain,
    pred('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_93906,c_1318]) ).

tff(c_866,plain,
    sum(n10,n11) = n0,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_93970,plain,
    succ('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_93906,c_1360]) ).

tff(c_93999,plain,
    sum(sum(n4,n17),sum(pred('#skF_2'),n6)) != sum(n10,sum(pred('#skF_2'),n17)),
    inference(demodulation,[status(thm),theory(equality)],[c_93970,c_93970,c_92150]) ).

tff(c_94000,plain,
    sum(n10,sum(pred('#skF_2'),n17)) != sum(n0,sum(pred('#skF_2'),n6)),
    inference(demodulation,[status(thm),theory(equality)],[c_1106,c_93999]) ).

tff(c_94254,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1308,c_666,c_93968,c_866,c_644,c_93968,c_94000]) ).

tff(c_94255,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' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_93904]) ).

tff(c_94257,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_94255]) ).

tff(c_94264,plain,
    sum(sum(n4,succ('#skF_1')),sum(pred('#skF_1'),n6)) != sum(n10,sum(pred('#skF_1'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_94257,c_94257,c_94257,c_94257,c_92150]) ).

tff(c_94271,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1128,c_91867,c_91867,c_91865,c_91865,c_94264]) ).

tff(c_94272,plain,
    ( ( 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_94255]) ).

tff(c_94274,plain,
    n15 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_94272]) ).

tff(c_94336,plain,
    pred('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_94274,c_1320]) ).

tff(c_708,plain,
    sum(n14,n6) = n20,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_94339,plain,
    succ('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_94274,c_1362]) ).

tff(c_94363,plain,
    sum(sum(n4,n16),sum(pred('#skF_2'),n6)) != sum(n10,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_94339,c_94339,c_92150]) ).

tff(c_94364,plain,
    sum(n20,sum(pred('#skF_2'),n6)) != sum(n10,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_1108,c_94363]) ).

tff(c_94622,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_870,c_688,c_94336,c_428,c_708,c_94336,c_94364]) ).

tff(c_94623,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' ) ),
    inference(splitRight,[status(thm)],[c_94272]) ).

tff(c_94625,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_94623]) ).

tff(c_1086,plain,
    sum(n5,n6) = n11,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_91835,plain,
    sum('#skF_1',n6) = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_91134,c_1086]) ).

tff(c_94628,plain,
    sum('#skF_1','#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_94625,c_91835]) ).

tff(c_91808,plain,
    sum('#skF_1',n7) = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_91134,c_1084]) ).

tff(c_91868,plain,
    pred(n6) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_91134,c_1338]) ).

tff(c_94634,plain,
    pred('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_94625,c_91868]) ).

tff(c_94691,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_94625,c_1380]) ).

tff(c_94626,plain,
    sum(sum(n4,succ('#skF_2')),sum(pred('#skF_2'),'#skF_2')) != sum(n10,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_94625,c_92150]) ).

tff(c_94972,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_824,c_94628,c_864,c_91808,c_94634,c_94634,c_94691,c_1126,c_94691,c_94626]) ).

tff(c_94973,plain,
    ( ( 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_94623]) ).

tff(c_94975,plain,
    n14 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_94973]) ).

tff(c_95038,plain,
    pred('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_94975,c_1322]) ).

tff(c_95040,plain,
    succ('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_94975,c_1364]) ).

tff(c_95064,plain,
    sum(sum(n4,n15),sum(pred('#skF_2'),n6)) != sum(n10,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_95040,c_95040,c_92150]) ).

tff(c_95065,plain,
    sum(n19,sum(pred('#skF_2'),n6)) != sum(n10,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_1110,c_95064]) ).

tff(c_95323,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_874,c_732,c_95038,c_472,c_750,c_95038,c_95065]) ).

tff(c_95324,plain,
    ( ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_94973]) ).

tff(c_95326,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_95324]) ).

tff(c_95388,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_95326,c_1336]) ).

tff(c_95391,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_95326,c_1378]) ).

tff(c_95415,plain,
    sum(sum(n4,n8),sum(pred('#skF_2'),n6)) != sum(n10,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_95391,c_95391,c_92150]) ).

tff(c_95416,plain,
    sum(n12,sum(pred('#skF_2'),n6)) != sum(n10,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_1124,c_95415]) ).

tff(c_95674,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_860,c_1040,c_95388,c_780,c_1044,c_95388,c_95416]) ).

tff(c_95675,plain,
    ( ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_95324]) ).

tff(c_95677,plain,
    n13 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_95675]) ).

tff(c_95740,plain,
    succ('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_95677,c_1366]) ).

tff(c_792,plain,
    sum(n12,n6) = n18,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_95742,plain,
    pred('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_95677,c_1324]) ).

tff(c_95766,plain,
    sum(sum(n4,succ('#skF_2')),sum(n12,n6)) != sum(n10,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_95742,c_95742,c_92150]) ).

tff(c_95767,plain,
    sum(sum(n4,succ('#skF_2')),n18) != sum(n10,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_792,c_95766]) ).

tff(c_96025,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_91836,c_91805,c_95740,c_516,c_1112,c_95740,c_95767]) ).

tff(c_96026,plain,
    ( ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_95675]) ).

tff(c_96028,plain,
    n8 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_96026]) ).

tff(c_96090,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_96028,c_1376]) ).

tff(c_91832,plain,
    sum(n13,n13) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_91134,c_736]) ).

tff(c_1002,plain,
    sum(n7,n6) = n13,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_96091,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_96028,c_1334]) ).

tff(c_96125,plain,
    sum(sum(n4,succ('#skF_2')),sum(n7,n6)) != sum(n10,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_96091,c_96091,c_92150]) ).

tff(c_96126,plain,
    sum(sum(n4,succ('#skF_2')),n13) != sum(n10,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1002,c_96125]) ).

tff(c_96376,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_91833,c_996,c_96090,c_91832,c_1122,c_96090,c_96126]) ).

tff(c_96377,plain,
    ( ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_96026]) ).

tff(c_96379,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_96377]) ).

tff(c_96442,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_96379,c_1368]) ).

tff(c_96444,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_96379,c_1326]) ).

tff(c_96472,plain,
    sum(sum(n4,succ('#skF_2')),sum(n11,n6)) != sum(n10,sum(n11,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_96444,c_96444,c_92150]) ).

tff(c_96473,plain,
    sum(sum(n4,succ('#skF_2')),n17) != sum(n10,sum(n11,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_834,c_96472]) ).

tff(c_96727,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_882,c_820,c_96442,c_560,c_1114,c_96442,c_96473]) ).

tff(c_96728,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_96377]) ).

tff(c_96730,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_96728]) ).

tff(c_96794,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_96730,c_1332]) ).

tff(c_96792,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_96730,c_1374]) ).

tff(c_96819,plain,
    sum(sum(n4,n10),sum(pred('#skF_2'),n6)) != sum(n10,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_96792,c_96792,c_92150]) ).

tff(c_96820,plain,
    sum(n14,sum(pred('#skF_2'),n6)) != sum(n10,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_1120,c_96819]) ).

tff(c_97078,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_852,c_952,c_96794,c_692,c_960,c_96794,c_96820]) ).

tff(c_97079,plain,
    ( ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_96728]) ).

tff(c_97081,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_97079]) ).

tff(c_97126,plain,
    sum(n16,n16) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_97081,c_604]) ).

tff(c_97111,plain,
    sum(n10,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_97081,c_886]) ).

tff(c_97146,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_97081,c_1328]) ).

tff(c_97143,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_97081,c_1370]) ).

tff(c_97170,plain,
    sum(sum(n4,n12),sum(pred('#skF_2'),n6)) != sum(n10,sum(pred('#skF_2'),n12)),
    inference(demodulation,[status(thm),theory(equality)],[c_97143,c_97143,c_92150]) ).

tff(c_97171,plain,
    sum(n16,sum(pred('#skF_2'),n6)) != sum(n10,sum(pred('#skF_2'),n12)),
    inference(demodulation,[status(thm),theory(equality)],[c_1116,c_97170]) ).

tff(c_97429,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_97126,c_97111,c_864,c_97146,c_876,c_97146,c_97171]) ).

tff(c_97430,plain,
    n10 = '#skF_2',
    inference(splitRight,[status(thm)],[c_97079]) ).

tff(c_97459,plain,
    sum('#skF_2',n20) = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_97430,c_848]) ).

tff(c_97497,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_97430,c_1330]) ).

tff(c_918,plain,
    sum(n9,n6) = n15,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_97494,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_97430,c_1372]) ).

tff(c_97432,plain,
    sum(sum(n4,succ('#skF_2')),sum(pred('#skF_2'),n6)) != sum('#skF_2',sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_97430,c_92150]) ).

tff(c_97778,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_97459,c_908,c_97497,c_648,c_918,c_97497,c_97494,c_1118,c_97494,c_97432]) ).

tff(c_97779,plain,
    ( ( 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_82716]) ).

tff(c_97781,plain,
    n15 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_97779]) ).

tff(c_97845,plain,
    succ('#skF_1') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_97781,c_1362]) ).

tff(c_97842,plain,
    pred('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_97781,c_1320]) ).

tff(c_910,plain,
    sum(n9,n10) = n19,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_904,plain,
    sum(n9,n13) = n1,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_97797,plain,
    sum(n18,n18) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_97781,c_516]) ).

tff(c_97790,plain,
    sum(n9,'#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_97781,c_900]) ).

tff(c_97833,plain,
    sum(n17,n19) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_97781,c_556]) ).

tff(c_98128,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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n19 = '#skF_2' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_97781,c_91132]) ).

tff(c_98129,plain,
    n19 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_98128]) ).

tff(c_98191,plain,
    succ('#skF_2') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_98129,c_1354]) ).

tff(c_98193,plain,
    pred('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_98129,c_1312]) ).

tff(c_97870,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),n16)) != sum(sum(pred('#skF_1'),n16),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_97845,c_97845,c_422]) ).

tff(c_98127,plain,
    sum(sum(n14,succ('#skF_2')),sum(pred('#skF_2'),n16)) != sum(n9,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_688,c_97842,c_97842,c_97870]) ).

tff(c_98222,plain,
    sum(sum(n14,succ('#skF_2')),sum(n18,n16)) != sum(n9,sum(n18,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_98193,c_98193,c_98127]) ).

tff(c_98223,plain,
    sum(sum(n14,succ('#skF_2')),n13) != sum(n9,sum(n18,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_98222]) ).

tff(c_98477,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_896,c_512,c_98191,c_736,c_680,c_98191,c_98223]) ).

tff(c_98478,plain,
    ( ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_98128]) ).

tff(c_98480,plain,
    n2 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_98478]) ).

tff(c_98543,plain,
    pred('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_98480,c_1346]) ).

tff(c_98544,plain,
    succ('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_98480,c_1388]) ).

tff(c_98573,plain,
    sum(sum(n14,n3),sum(pred('#skF_2'),n16)) != sum(n9,sum(pred('#skF_2'),n3)),
    inference(demodulation,[status(thm),theory(equality)],[c_98544,c_98544,c_98127]) ).

tff(c_98574,plain,
    sum(n9,sum(pred('#skF_2'),n3)) != sum(n17,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_714,c_98573]) ).

tff(c_98828,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_560,c_1234,c_98543,c_922,c_1260,c_98543,c_98574]) ).

tff(c_98829,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' )
    | ( n14 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_98478]) ).

tff(c_98831,plain,
    n18 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_98829]) ).

tff(c_98893,plain,
    succ('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_98831,c_1356]) ).

tff(c_98896,plain,
    pred('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_98831,c_1314]) ).

tff(c_98920,plain,
    sum(sum(n14,succ('#skF_2')),sum(n17,n16)) != sum(n9,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_98896,c_98896,c_98127]) ).

tff(c_98921,plain,
    sum(sum(n14,succ('#skF_2')),n12) != sum(n9,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_562,c_98920]) ).

tff(c_99179,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_97790,c_97833,c_98893,c_780,c_682,c_98893,c_98921]) ).

tff(c_99180,plain,
    ( ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_98829]) ).

tff(c_99182,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_99180]) ).

tff(c_99244,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_99182,c_1344]) ).

tff(c_97795,plain,
    sum(n9,n6) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_97781,c_918]) ).

tff(c_99247,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_99182,c_1386]) ).

tff(c_99271,plain,
    sum(sum(n14,n4),sum(pred('#skF_2'),n16)) != sum(n9,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_99247,c_99247,c_98127]) ).

tff(c_99272,plain,
    sum(n9,sum(pred('#skF_2'),n4)) != sum(n18,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_712,c_99271]) ).

tff(c_99530,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_97797,c_1192,c_99244,c_97795,c_1216,c_99244,c_99272]) ).

tff(c_99531,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' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_99180]) ).

tff(c_99533,plain,
    n17 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_99531]) ).

tff(c_99595,plain,
    succ('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_99533,c_1358]) ).

tff(c_99596,plain,
    pred('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_99533,c_1316]) ).

tff(c_99626,plain,
    sum(sum(n14,succ('#skF_2')),sum(n16,n16)) != sum(n9,sum(n16,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_99596,c_99596,c_98127]) ).

tff(c_99627,plain,
    sum(sum(n14,succ('#skF_2')),n11) != sum(n9,sum(n16,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_604,c_99626]) ).

tff(c_99881,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_904,c_600,c_99595,c_824,c_684,c_99595,c_99627]) ).

tff(c_99882,plain,
    ( ( n16 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_99531]) ).

tff(c_99884,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_99882]) ).

tff(c_99948,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_99884,c_1342]) ).

tff(c_914,plain,
    sum(n9,n8) = n17,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_99946,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_99884,c_1384]) ).

tff(c_99981,plain,
    sum(sum(n14,n5),sum(pred('#skF_2'),n16)) != sum(n9,sum(pred('#skF_2'),n5)),
    inference(demodulation,[status(thm),theory(equality)],[c_99946,c_99946,c_98127]) ).

tff(c_99982,plain,
    sum(n9,sum(pred('#skF_2'),n5)) != sum(n19,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_710,c_99981]) ).

tff(c_100232,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_472,c_1150,c_99948,c_914,c_1172,c_99948,c_99982]) ).

tff(c_100233,plain,
    ( ( 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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n16 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_99882]) ).

tff(c_100235,plain,
    n16 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_100233]) ).

tff(c_97825,plain,
    sum('#skF_1',n16) = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_97781,c_646]) ).

tff(c_100241,plain,
    sum('#skF_1','#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_100235,c_97825]) ).

tff(c_97843,plain,
    pred(n16) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_97781,c_1318]) ).

tff(c_100243,plain,
    pred('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_100235,c_97843]) ).

tff(c_97826,plain,
    sum('#skF_1',n17) = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_97781,c_644]) ).

tff(c_100301,plain,
    succ('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_100235,c_1360]) ).

tff(c_100236,plain,
    sum(sum(n14,succ('#skF_2')),sum(pred('#skF_2'),'#skF_2')) != sum(n9,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_100235,c_98127]) ).

tff(c_100582,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_868,c_100241,c_100243,c_908,c_97826,c_100243,c_100301,c_686,c_100301,c_100236]) ).

tff(c_100583,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_100233]) ).

tff(c_100585,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_100583]) ).

tff(c_100647,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_100585,c_1382]) ).

tff(c_100649,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_100585,c_1340]) ).

tff(c_100678,plain,
    sum(sum(n14,succ('#skF_2')),sum(n4,n16)) != sum(n9,sum(n4,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_100649,c_100649,c_98127]) ).

tff(c_100679,plain,
    sum(sum(n14,succ('#skF_2')),n20) != sum(n9,sum(n4,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1108,c_100678]) ).

tff(c_100933,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_910,c_1128,c_100647,c_428,c_708,c_100647,c_100679]) ).

tff(c_100934,plain,
    ( ( 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' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_100583]) ).

tff(c_100936,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_100934]) ).

tff(c_100945,plain,
    sum(sum(n14,succ('#skF_1')),sum(pred('#skF_1'),n16)) != sum(n9,sum(pred('#skF_1'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_100936,c_100936,c_100936,c_100936,c_98127]) ).

tff(c_100951,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_688,c_97845,c_97845,c_97842,c_97842,c_100945]) ).

tff(c_100952,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' ) ),
    inference(splitRight,[status(thm)],[c_100934]) ).

tff(c_100954,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_100952]) ).

tff(c_101017,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_100954,c_1338]) ).

tff(c_906,plain,
    sum(n9,n12) = n0,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_706,plain,
    sum(n14,n7) = n0,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_101019,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_100954,c_1380]) ).

tff(c_101043,plain,
    sum(sum(n14,n7),sum(pred('#skF_2'),n16)) != sum(n9,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_101019,c_101019,c_98127]) ).

tff(c_101044,plain,
    sum(n9,sum(pred('#skF_2'),n7)) != sum(n0,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_706,c_101043]) ).

tff(c_101302,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1308,c_1066,c_101017,c_906,c_1084,c_101017,c_101044]) ).

tff(c_101303,plain,
    ( ( 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_100952]) ).

tff(c_101305,plain,
    n14 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_101303]) ).

tff(c_690,plain,
    sum(n14,n15) = n8,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_97807,plain,
    sum(n14,'#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_97781,c_690]) ).

tff(c_101308,plain,
    sum('#skF_2','#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_101305,c_97807]) ).

tff(c_916,plain,
    sum(n9,n7) = n16,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_97841,plain,
    sum(n13,'#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_97781,c_732]) ).

tff(c_97844,plain,
    succ(n14) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_97781,c_1364]) ).

tff(c_101314,plain,
    succ('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_101305,c_97844]) ).

tff(c_101371,plain,
    pred('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_101305,c_1322]) ).

tff(c_101306,plain,
    sum(sum('#skF_2',succ('#skF_2')),sum(pred('#skF_2'),n16)) != sum(n9,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_101305,c_98127]) ).

tff(c_101652,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_956,c_101308,c_916,c_97841,c_101314,c_101314,c_101371,c_730,c_101371,c_101306]) ).

tff(c_101653,plain,
    ( ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_101303]) ).

tff(c_101655,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_101653]) ).

tff(c_101717,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_101655,c_1336]) ).

tff(c_704,plain,
    sum(n14,n8) = n1,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_101720,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_101655,c_1378]) ).

tff(c_101744,plain,
    sum(sum(n14,n8),sum(pred('#skF_2'),n16)) != sum(n9,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_101720,c_101720,c_98127]) ).

tff(c_101745,plain,
    sum(n9,sum(pred('#skF_2'),n8)) != sum(n1,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_704,c_101744]) ).

tff(c_102003,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1264,c_1024,c_101717,c_902,c_1040,c_101717,c_101745]) ).

tff(c_102004,plain,
    ( ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_101653]) ).

tff(c_102006,plain,
    n13 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_102004]) ).

tff(c_102069,plain,
    succ('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_102006,c_1366]) ).

tff(c_102071,plain,
    pred('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_102006,c_1324]) ).

tff(c_102095,plain,
    sum(sum(n14,succ('#skF_2')),sum(n12,n16)) != sum(n9,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_102071,c_102071,c_98127]) ).

tff(c_102096,plain,
    sum(sum(n14,succ('#skF_2')),n7) != sum(n9,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_772,c_102095]) ).

tff(c_102354,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_920,c_776,c_102069,c_1000,c_692,c_102069,c_102096]) ).

tff(c_102355,plain,
    ( ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_102004]) ).

tff(c_102357,plain,
    n8 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_102355]) ).

tff(c_102419,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_102357,c_1376]) ).

tff(c_702,plain,
    sum(n14,n9) = n2,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_982,plain,
    sum(n7,n16) = n2,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_102420,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_102357,c_1334]) ).

tff(c_102454,plain,
    sum(sum(n14,succ('#skF_2')),sum(n7,n16)) != sum(n9,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_102420,c_102420,c_98127]) ).

tff(c_102455,plain,
    sum(sum(n14,succ('#skF_2')),n2) != sum(n9,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_982,c_102454]) ).

tff(c_102705,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_898,c_996,c_102419,c_1220,c_702,c_102419,c_102455]) ).

tff(c_102706,plain,
    ( ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_102355]) ).

tff(c_102708,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_102706]) ).

tff(c_102739,plain,
    sum(n6,n6) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_102708,c_1044]) ).

tff(c_102768,plain,
    sum(n9,n3) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_102708,c_924]) ).

tff(c_102773,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_102708,c_1326]) ).

tff(c_694,plain,
    sum(n14,n13) = n6,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_102771,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_102708,c_1368]) ).

tff(c_102805,plain,
    sum(sum(n14,n13),sum(pred('#skF_2'),n16)) != sum(n9,sum(pred('#skF_2'),n13)),
    inference(demodulation,[status(thm),theory(equality)],[c_102771,c_102771,c_98127]) ).

tff(c_102806,plain,
    sum(n9,sum(pred('#skF_2'),n13)) != sum(n6,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_694,c_102805]) ).

tff(c_103056,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_102739,c_102768,c_814,c_102773,c_820,c_102773,c_102806]) ).

tff(c_103057,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_102706]) ).

tff(c_103059,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_103057]) ).

tff(c_103106,plain,
    sum('#skF_2',n18) = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_103059,c_894]) ).

tff(c_103124,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_103059,c_1332]) ).

tff(c_103122,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_103059,c_1374]) ).

tff(c_700,plain,
    sum(n14,n10) = n3,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_103060,plain,
    sum(sum(n14,succ('#skF_2')),sum(pred('#skF_2'),n16)) != sum('#skF_2',sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_103059,c_98127]) ).

tff(c_103406,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_103106,c_952,c_103124,c_1176,c_940,c_103124,c_103122,c_700,c_103122,c_103060]) ).

tff(c_103407,plain,
    ( ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_103057]) ).

tff(c_103409,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_103407]) ).

tff(c_103474,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_103409,c_1328]) ).

tff(c_696,plain,
    sum(n14,n12) = n5,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_103471,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_103409,c_1370]) ).

tff(c_103498,plain,
    sum(sum(n14,n12),sum(pred('#skF_2'),n16)) != sum(n9,sum(pred('#skF_2'),n12)),
    inference(demodulation,[status(thm),theory(equality)],[c_103471,c_103471,c_98127]) ).

tff(c_103499,plain,
    sum(n9,sum(pred('#skF_2'),n12)) != sum(n5,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_696,c_103498]) ).

tff(c_103757,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1088,c_856,c_103474,c_928,c_864,c_103474,c_103499]) ).

tff(c_103758,plain,
    n10 = '#skF_2',
    inference(splitRight,[status(thm)],[c_103407]) ).

tff(c_103824,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_103758,c_1330]) ).

tff(c_698,plain,
    sum(n14,n11) = n4,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_103821,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_103758,c_1372]) ).

tff(c_103856,plain,
    sum(sum(n14,n11),sum(pred('#skF_2'),n16)) != sum(n9,sum(pred('#skF_2'),n11)),
    inference(demodulation,[status(thm),theory(equality)],[c_103821,c_103821,c_98127]) ).

tff(c_103857,plain,
    sum(n9,sum(pred('#skF_2'),n11)) != sum(n4,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_698,c_103856]) ).

tff(c_104107,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1132,c_898,c_103824,c_890,c_908,c_103824,c_103857]) ).

tff(c_104108,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' ) ),
    inference(splitRight,[status(thm)],[c_97779]) ).

tff(c_104110,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_104108]) ).

tff(c_104174,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_104110,c_1380]) ).

tff(c_104172,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_104110,c_1338]) ).

tff(c_778,plain,
    sum(n12,n13) = n4,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_104120,plain,
    sum(n12,'#skF_1') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_104110,c_792]) ).

tff(c_104128,plain,
    sum(n2,n4) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_104110,c_1216]) ).

tff(c_774,plain,
    sum(n12,n15) = n6,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_104129,plain,
    sum(n12,n15) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_104110,c_774]) ).

tff(c_104457,plain,
    ( ( n2 = '#skF_2' )
    | ( n3 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n19 = '#skF_2' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_104110,c_91132]) ).

tff(c_104458,plain,
    n19 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_104457]) ).

tff(c_104520,plain,
    succ('#skF_2') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_104458,c_1354]) ).

tff(c_104522,plain,
    pred('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_104458,c_1312]) ).

tff(c_104203,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),n7)) != sum(sum(pred('#skF_1'),n7),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_104174,c_104174,c_422]) ).

tff(c_104456,plain,
    sum(sum(n5,succ('#skF_2')),sum(pred('#skF_2'),n7)) != sum(n12,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1084,c_104172,c_104172,c_104203]) ).

tff(c_104551,plain,
    sum(sum(n5,succ('#skF_2')),sum(n18,n7)) != sum(n12,sum(n18,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_104522,c_104522,c_104456]) ).

tff(c_104552,plain,
    sum(sum(n5,succ('#skF_2')),n4) != sum(n12,sum(n18,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_538,c_104551]) ).

tff(c_104806,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_770,c_512,c_104520,c_1132,c_1058,c_104520,c_104552]) ).

tff(c_104807,plain,
    ( ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n3 = '#skF_2' )
    | ( n2 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_104457]) ).

tff(c_104809,plain,
    n2 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_104807]) ).

tff(c_104873,plain,
    succ('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_104809,c_1388]) ).

tff(c_104872,plain,
    pred('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_104809,c_1346]) ).

tff(c_104902,plain,
    sum(sum(n5,succ('#skF_2')),sum(n1,n7)) != sum(n12,sum(n1,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_104872,c_104872,c_104456]) ).

tff(c_104903,plain,
    sum(sum(n5,succ('#skF_2')),n8) != sum(n12,sum(n1,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1252,c_104902]) ).

tff(c_105157,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_796,c_1260,c_104873,c_956,c_1092,c_104873,c_104903]) ).

tff(c_105158,plain,
    ( ( n3 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_104807]) ).

tff(c_105160,plain,
    n18 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_105158]) ).

tff(c_105222,plain,
    succ('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_105160,c_1356]) ).

tff(c_104142,plain,
    sum(n3,n3) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_104110,c_1176]) ).

tff(c_105225,plain,
    pred('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_105160,c_1314]) ).

tff(c_105249,plain,
    sum(sum(n5,succ('#skF_2')),sum(n17,n7)) != sum(n12,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_105225,c_105225,c_104456]) ).

tff(c_105250,plain,
    sum(sum(n5,succ('#skF_2')),n3) != sum(n12,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_580,c_105249]) ).

tff(c_105508,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_104129,c_556,c_105222,c_104142,c_1060,c_105222,c_105250]) ).

tff(c_105509,plain,
    ( ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n3 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_105158]) ).

tff(c_105511,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_105509]) ).

tff(c_105573,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_105511,c_1344]) ).

tff(c_105576,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_105511,c_1386]) ).

tff(c_105600,plain,
    sum(sum(n5,n4),sum(pred('#skF_2'),n7)) != sum(n12,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_105576,c_105576,c_104456]) ).

tff(c_105601,plain,
    sum(n9,sum(pred('#skF_2'),n7)) != sum(n12,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_1090,c_105600]) ).

tff(c_105859,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_104120,c_104128,c_105573,c_912,c_1210,c_105573,c_105601]) ).

tff(c_105860,plain,
    ( ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_105509]) ).

tff(c_105862,plain,
    n17 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_105860]) ).

tff(c_105924,plain,
    succ('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_105862,c_1358]) ).

tff(c_105925,plain,
    pred('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_105862,c_1316]) ).

tff(c_105955,plain,
    sum(sum(n5,succ('#skF_2')),sum(n16,n7)) != sum(n12,sum(n16,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_105925,c_105925,c_104456]) ).

tff(c_105956,plain,
    sum(sum(n5,succ('#skF_2')),n2) != sum(n12,sum(n16,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_622,c_105955]) ).

tff(c_106210,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_778,c_600,c_105924,c_1220,c_1062,c_105924,c_105956]) ).

tff(c_106211,plain,
    ( ( n16 = '#skF_2' )
    | ( 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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_105860]) ).

tff(c_106213,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_106211]) ).

tff(c_106277,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_106213,c_1342]) ).

tff(c_788,plain,
    sum(n12,n8) = n20,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_106275,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_106213,c_1384]) ).

tff(c_106310,plain,
    sum(sum(n5,n5),sum(pred('#skF_2'),n7)) != sum(n12,sum(pred('#skF_2'),n5)),
    inference(demodulation,[status(thm),theory(equality)],[c_106275,c_106275,c_104456]) ).

tff(c_106311,plain,
    sum(n12,sum(pred('#skF_2'),n5)) != sum(n10,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_1088,c_106310]) ).

tff(c_106561,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_868,c_1168,c_106277,c_788,c_1172,c_106277,c_106311]) ).

tff(c_106562,plain,
    ( ( n5 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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' )
    | ( n16 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_106211]) ).

tff(c_106564,plain,
    n16 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_106562]) ).

tff(c_106626,plain,
    pred('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_106564,c_1318]) ).

tff(c_782,plain,
    sum(n12,n11) = n2,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_106628,plain,
    succ('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_106564,c_1360]) ).

tff(c_106657,plain,
    sum(sum(n5,n17),sum(pred('#skF_2'),n7)) != sum(n12,sum(pred('#skF_2'),n17)),
    inference(demodulation,[status(thm),theory(equality)],[c_106628,c_106628,c_104456]) ).

tff(c_106658,plain,
    sum(n12,sum(pred('#skF_2'),n17)) != sum(n1,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_1064,c_106657]) ).

tff(c_106912,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1264,c_664,c_106626,c_782,c_644,c_106626,c_106658]) ).

tff(c_106913,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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n5 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_106562]) ).

tff(c_106915,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_106913]) ).

tff(c_104149,plain,
    sum(n5,'#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_104110,c_1086]) ).

tff(c_106918,plain,
    sum('#skF_2','#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_106915,c_104149]) ).

tff(c_784,plain,
    sum(n12,n10) = n1,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_104111,plain,
    sum(n4,'#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_104110,c_1128]) ).

tff(c_104171,plain,
    succ(n5) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_104110,c_1382]) ).

tff(c_106924,plain,
    succ('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_106915,c_104171]) ).

tff(c_106981,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_106915,c_1340]) ).

tff(c_106916,plain,
    sum(sum('#skF_2',succ('#skF_2')),sum(pred('#skF_2'),n7)) != sum(n12,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_106915,c_104456]) ).

tff(c_107262,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_824,c_106918,c_784,c_104111,c_106924,c_106924,c_106981,c_1126,c_106981,c_106916]) ).

tff(c_107263,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( 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_106913]) ).

tff(c_107265,plain,
    n15 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_107263]) ).

tff(c_107327,plain,
    pred('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_107265,c_1320]) ).

tff(c_786,plain,
    sum(n12,n9) = n0,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_107330,plain,
    succ('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_107265,c_1362]) ).

tff(c_107354,plain,
    sum(sum(n5,n16),sum(pred('#skF_2'),n7)) != sum(n12,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_107330,c_107330,c_104456]) ).

tff(c_107355,plain,
    sum(n12,sum(pred('#skF_2'),n16)) != sum(n0,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_1066,c_107354]) ).

tff(c_107613,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1308,c_706,c_107327,c_786,c_688,c_107327,c_107355]) ).

tff(c_107614,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' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_107263]) ).

tff(c_107616,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_107614]) ).

tff(c_107626,plain,
    sum(sum(n5,succ('#skF_1')),sum(pred('#skF_1'),n7)) != sum(n12,sum(pred('#skF_1'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_107616,c_107616,c_107616,c_107616,c_104456]) ).

tff(c_107632,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1084,c_104174,c_104174,c_104172,c_104172,c_107626]) ).

tff(c_107633,plain,
    ( ( 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_107614]) ).

tff(c_107635,plain,
    n14 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_107633]) ).

tff(c_107698,plain,
    pred('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_107635,c_1322]) ).

tff(c_1068,plain,
    sum(n5,n15) = n20,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_107700,plain,
    succ('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_107635,c_1364]) ).

tff(c_107724,plain,
    sum(sum(n5,n15),sum(pred('#skF_2'),n7)) != sum(n12,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_107700,c_107700,c_104456]) ).

tff(c_107725,plain,
    sum(n20,sum(pred('#skF_2'),n7)) != sum(n12,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_1068,c_107724]) ).

tff(c_107983,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_790,c_732,c_107698,c_428,c_748,c_107698,c_107725]) ).

tff(c_107984,plain,
    ( ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_107633]) ).

tff(c_107986,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_107984]) ).

tff(c_104132,plain,
    sum('#skF_1',n7) = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_104110,c_1042]) ).

tff(c_107989,plain,
    sum('#skF_1','#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_107986,c_104132]) ).

tff(c_104134,plain,
    sum('#skF_1',n8) = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_104110,c_1040]) ).

tff(c_104173,plain,
    pred(n7) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_104110,c_1336]) ).

tff(c_107995,plain,
    pred('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_107986,c_104173]) ).

tff(c_108052,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_107986,c_1378]) ).

tff(c_1082,plain,
    sum(n5,n8) = n13,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_107987,plain,
    sum(sum(n5,succ('#skF_2')),sum(pred('#skF_2'),'#skF_2')) != sum(n12,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_107986,c_104456]) ).

tff(c_108333,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_736,c_107989,c_776,c_104134,c_107995,c_107995,c_108052,c_1082,c_108052,c_107987]) ).

tff(c_108334,plain,
    ( ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_107984]) ).

tff(c_108336,plain,
    n13 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_108334]) ).

tff(c_108399,plain,
    succ('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_108336,c_1366]) ).

tff(c_1070,plain,
    sum(n5,n14) = n19,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_108401,plain,
    pred('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_108336,c_1324]) ).

tff(c_108425,plain,
    sum(sum(n5,succ('#skF_2')),sum(n12,n7)) != sum(n12,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_108401,c_108401,c_104456]) ).

tff(c_108426,plain,
    sum(sum(n5,succ('#skF_2')),n19) != sum(n12,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_790,c_108425]) ).

tff(c_108684,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_794,c_776,c_108399,c_472,c_1070,c_108399,c_108426]) ).

tff(c_108685,plain,
    ( ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_108334]) ).

tff(c_108687,plain,
    n8 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_108685]) ).

tff(c_108749,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_108687,c_1376]) ).

tff(c_1080,plain,
    sum(n5,n9) = n14,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_108750,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_108687,c_1334]) ).

tff(c_108784,plain,
    sum(sum(n5,succ('#skF_2')),sum(n7,n7)) != sum(n12,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_108750,c_108750,c_104456]) ).

tff(c_108785,plain,
    sum(sum(n5,succ('#skF_2')),n14) != sum(n12,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1000,c_108784]) ).

tff(c_109035,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_772,c_996,c_108749,c_692,c_1080,c_108749,c_108785]) ).

tff(c_109036,plain,
    ( ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_108685]) ).

tff(c_109038,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_109036]) ).

tff(c_109093,plain,
    sum('#skF_2',n3) = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_109038,c_798]) ).

tff(c_109102,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_109038,c_1368]) ).

tff(c_1072,plain,
    sum(n5,n13) = n18,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_109104,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_109038,c_1326]) ).

tff(c_109039,plain,
    sum(sum(n5,succ('#skF_2')),sum(pred('#skF_2'),n7)) != sum('#skF_2',sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_109038,c_104456]) ).

tff(c_109385,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_109093,c_820,c_109102,c_516,c_1072,c_109102,c_109104,c_832,c_109104,c_109039]) ).

tff(c_109386,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_109036]) ).

tff(c_109388,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_109386]) ).

tff(c_109429,plain,
    sum(n15,n15) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_109388,c_648]) ).

tff(c_109397,plain,
    sum(n12,n18) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_109388,c_768]) ).

tff(c_109452,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_109388,c_1332]) ).

tff(c_1078,plain,
    sum(n5,n10) = n15,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_109450,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_109388,c_1374]) ).

tff(c_109477,plain,
    sum(sum(n5,n10),sum(pred('#skF_2'),n7)) != sum(n12,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_109450,c_109450,c_104456]) ).

tff(c_109478,plain,
    sum(n15,sum(pred('#skF_2'),n7)) != sum(n12,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_1078,c_109477]) ).

tff(c_109736,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_109429,c_109397,c_952,c_109452,c_958,c_109452,c_109478]) ).

tff(c_109737,plain,
    ( ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_109386]) ).

tff(c_109739,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_109737]) ).

tff(c_109804,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_109739,c_1328]) ).

tff(c_1074,plain,
    sum(n5,n12) = n17,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_109801,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_109739,c_1370]) ).

tff(c_109828,plain,
    sum(sum(n5,n12),sum(pred('#skF_2'),n7)) != sum(n12,sum(pred('#skF_2'),n12)),
    inference(demodulation,[status(thm),theory(equality)],[c_109801,c_109801,c_104456]) ).

tff(c_109829,plain,
    sum(n17,sum(pred('#skF_2'),n7)) != sum(n12,sum(pred('#skF_2'),n12)),
    inference(demodulation,[status(thm),theory(equality)],[c_1074,c_109828]) ).

tff(c_110087,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_802,c_864,c_109804,c_560,c_874,c_109804,c_109829]) ).

tff(c_110088,plain,
    n10 = '#skF_2',
    inference(splitRight,[status(thm)],[c_109737]) ).

tff(c_110151,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_110088,c_1372]) ).

tff(c_1076,plain,
    sum(n5,n11) = n16,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_110154,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_110088,c_1330]) ).

tff(c_110182,plain,
    sum(sum(n5,succ('#skF_2')),sum(n9,n7)) != sum(n12,sum(n9,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_110154,c_110154,c_104456]) ).

tff(c_110183,plain,
    sum(sum(n5,succ('#skF_2')),n16) != sum(n12,sum(n9,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_916,c_110182]) ).

tff(c_110437,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_764,c_908,c_110151,c_604,c_1076,c_110151,c_110183]) ).

tff(c_110438,plain,
    ( ( 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_104108]) ).

tff(c_110440,plain,
    n14 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_110438]) ).

tff(c_110504,plain,
    succ('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_110440,c_1364]) ).

tff(c_110502,plain,
    pred('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_110440,c_1322]) ).

tff(c_994,plain,
    sum(n7,n10) = n17,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_992,plain,
    sum(n7,n11) = n18,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_988,plain,
    sum(n7,n13) = n20,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_110787,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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n19 = '#skF_2' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_110440,c_91132]) ).

tff(c_110788,plain,
    n19 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_110787]) ).

tff(c_110852,plain,
    pred('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_110788,c_1312]) ).

tff(c_110850,plain,
    succ('#skF_2') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_110788,c_1354]) ).

tff(c_110533,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),n15)) != sum(sum(pred('#skF_1'),n15),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_110504,c_110504,c_422]) ).

tff(c_110786,plain,
    sum(sum(n13,succ('#skF_2')),sum(pred('#skF_2'),n15)) != sum(n7,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_732,c_110502,c_110502,c_110533]) ).

tff(c_110885,plain,
    sum(sum(n13,n20),sum(pred('#skF_2'),n15)) != sum(n7,sum(pred('#skF_2'),n20)),
    inference(demodulation,[status(thm),theory(equality)],[c_110850,c_110850,c_110786]) ).

tff(c_110886,plain,
    sum(n7,sum(pred('#skF_2'),n20)) != sum(n12,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_722,c_110885]) ).

tff(c_111136,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_780,c_522,c_110852,c_980,c_512,c_110852,c_110886]) ).

tff(c_111137,plain,
    ( ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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_110787]) ).

tff(c_111139,plain,
    n2 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_111137]) ).

tff(c_111202,plain,
    pred('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_111139,c_1346]) ).

tff(c_111203,plain,
    succ('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_111139,c_1388]) ).

tff(c_111232,plain,
    sum(sum(n13,n3),sum(pred('#skF_2'),n15)) != sum(n7,sum(pred('#skF_2'),n3)),
    inference(demodulation,[status(thm),theory(equality)],[c_111203,c_111203,c_110786]) ).

tff(c_111233,plain,
    sum(n7,sum(pred('#skF_2'),n3)) != sum(n16,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_756,c_111232]) ).

tff(c_111487,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_604,c_1236,c_111202,c_1006,c_1260,c_111202,c_111233]) ).

tff(c_111488,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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_111137]) ).

tff(c_111490,plain,
    n18 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_111488]) ).

tff(c_111552,plain,
    succ('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_111490,c_1356]) ).

tff(c_111555,plain,
    pred('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_111490,c_1314]) ).

tff(c_111579,plain,
    sum(sum(n13,succ('#skF_2')),sum(n17,n15)) != sum(n7,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_111555,c_111555,c_110786]) ).

tff(c_111580,plain,
    sum(sum(n13,succ('#skF_2')),n11) != sum(n7,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_564,c_111579]) ).

tff(c_111838,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_984,c_556,c_111552,c_824,c_724,c_111552,c_111580]) ).

tff(c_111839,plain,
    ( ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_111488]) ).

tff(c_111841,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_111839]) ).

tff(c_111903,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_111841,c_1344]) ).

tff(c_111906,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_111841,c_1386]) ).

tff(c_111930,plain,
    sum(sum(n13,n4),sum(pred('#skF_2'),n15)) != sum(n7,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_111906,c_111906,c_110786]) ).

tff(c_111931,plain,
    sum(n7,sum(pred('#skF_2'),n4)) != sum(n17,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_754,c_111930]) ).

tff(c_112189,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_560,c_1194,c_111903,c_1002,c_1216,c_111903,c_111931]) ).

tff(c_112190,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' )
    | ( n13 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_111839]) ).

tff(c_112192,plain,
    n17 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_112190]) ).

tff(c_112254,plain,
    succ('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_112192,c_1358]) ).

tff(c_112255,plain,
    pred('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_112192,c_1316]) ).

tff(c_112285,plain,
    sum(sum(n13,succ('#skF_2')),sum(n16,n15)) != sum(n7,sum(n16,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_112255,c_112255,c_110786]) ).

tff(c_112286,plain,
    sum(sum(n13,succ('#skF_2')),n10) != sum(n7,sum(n16,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_606,c_112285]) ).

tff(c_112540,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_988,c_600,c_112254,c_868,c_726,c_112254,c_112286]) ).

tff(c_112541,plain,
    ( ( n16 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_112190]) ).

tff(c_112543,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_112541]) ).

tff(c_112607,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_112543,c_1342]) ).

tff(c_998,plain,
    sum(n7,n8) = n15,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_112605,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_112543,c_1384]) ).

tff(c_112640,plain,
    sum(sum(n13,n5),sum(pred('#skF_2'),n15)) != sum(n7,sum(pred('#skF_2'),n5)),
    inference(demodulation,[status(thm),theory(equality)],[c_112605,c_112605,c_110786]) ).

tff(c_112641,plain,
    sum(n7,sum(pred('#skF_2'),n5)) != sum(n18,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_752,c_112640]) ).

tff(c_112891,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_1152,c_112607,c_998,c_1172,c_112607,c_112641]) ).

tff(c_112892,plain,
    ( ( 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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_112541]) ).

tff(c_112894,plain,
    n16 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_112892]) ).

tff(c_112958,plain,
    succ('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_112894,c_1360]) ).

tff(c_112956,plain,
    pred('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_112894,c_1318]) ).

tff(c_112991,plain,
    sum(sum(n13,succ('#skF_2')),sum(n15,n15)) != sum(n7,sum(n15,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_112956,c_112956,c_110786]) ).

tff(c_112992,plain,
    sum(sum(n13,succ('#skF_2')),n9) != sum(n7,sum(n15,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_648,c_112991]) ).

tff(c_113242,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_992,c_644,c_112958,c_912,c_728,c_112958,c_112992]) ).

tff(c_113243,plain,
    ( ( n15 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_112892]) ).

tff(c_113245,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_113243]) ).

tff(c_113307,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_113245,c_1382]) ).

tff(c_113309,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_113245,c_1340]) ).

tff(c_113338,plain,
    sum(sum(n13,succ('#skF_2')),sum(n4,n15)) != sum(n7,sum(n4,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_113309,c_113309,c_110786]) ).

tff(c_113339,plain,
    sum(sum(n13,succ('#skF_2')),n19) != sum(n7,sum(n4,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1110,c_113338]) ).

tff(c_113593,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_994,c_1128,c_113307,c_472,c_750,c_113307,c_113339]) ).

tff(c_113594,plain,
    ( ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n15 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_113243]) ).

tff(c_113596,plain,
    n15 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_113594]) ).

tff(c_110475,plain,
    sum('#skF_1',n15) = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_110440,c_690]) ).

tff(c_113601,plain,
    sum('#skF_1','#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_113596,c_110475]) ).

tff(c_110476,plain,
    sum('#skF_1',n16) = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_110440,c_688]) ).

tff(c_110503,plain,
    pred(n15) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_110440,c_1320]) ).

tff(c_113605,plain,
    pred('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_113596,c_110503]) ).

tff(c_113662,plain,
    succ('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_113596,c_1362]) ).

tff(c_113597,plain,
    sum(sum(n13,succ('#skF_2')),sum(pred('#skF_2'),'#skF_2')) != sum(n7,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_113596,c_110786]) ).

tff(c_113943,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_956,c_113601,c_996,c_110476,c_113605,c_113605,c_113662,c_730,c_113662,c_113597]) ).

tff(c_113944,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_113594]) ).

tff(c_113946,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_113944]) ).

tff(c_114009,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_113946,c_1338]) ).

tff(c_990,plain,
    sum(n7,n12) = n19,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_114011,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_113946,c_1380]) ).

tff(c_114035,plain,
    sum(sum(n13,n7),sum(pred('#skF_2'),n15)) != sum(n7,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_114011,c_114011,c_110786]) ).

tff(c_114036,plain,
    sum(n7,sum(pred('#skF_2'),n7)) != sum(n20,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_748,c_114035]) ).

tff(c_114294,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_428,c_1068,c_114009,c_990,c_1084,c_114009,c_114036]) ).

tff(c_114295,plain,
    ( ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_113944]) ).

tff(c_114297,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_114295]) ).

tff(c_114308,plain,
    sum(sum(n13,succ('#skF_1')),sum(pred('#skF_1'),n15)) != sum(n7,sum(pred('#skF_1'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_114297,c_114297,c_114297,c_114297,c_110786]) ).

tff(c_114314,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_732,c_110504,c_110504,c_110502,c_110502,c_114308]) ).

tff(c_114315,plain,
    ( ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_114295]) ).

tff(c_114317,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_114315]) ).

tff(c_986,plain,
    sum(n7,n14) = n0,
    inference(cnfTransformation,[status(thm)],[f_1709]) ).

tff(c_110462,plain,
    sum(n7,'#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_110440,c_986]) ).

tff(c_114319,plain,
    sum('#skF_2','#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_114317,c_110462]) ).

tff(c_110467,plain,
    sum(n6,n8) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_110440,c_1040]) ).

tff(c_114380,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_114317,c_1336]) ).

tff(c_114383,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_114317,c_1378]) ).

tff(c_114318,plain,
    sum(sum(n13,succ('#skF_2')),sum(pred('#skF_2'),n15)) != sum('#skF_2',sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_114317,c_110786]) ).

tff(c_114664,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_114319,c_110467,c_114380,c_1308,c_1026,c_114380,c_114383,c_746,c_114383,c_114318]) ).

tff(c_114665,plain,
    ( ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_114315]) ).

tff(c_114667,plain,
    n13 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_114665]) ).

tff(c_110495,plain,
    sum(n13,'#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_110440,c_734]) ).

tff(c_114673,plain,
    sum('#skF_2','#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_114667,c_110495]) ).

tff(c_110441,plain,
    sum(n12,'#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_110440,c_776]) ).

tff(c_110501,plain,
    succ(n13) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_110440,c_1366]) ).

tff(c_114675,plain,
    succ('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_114667,c_110501]) ).

tff(c_114733,plain,
    pred('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_114667,c_1324]) ).

tff(c_114668,plain,
    sum(sum('#skF_2',succ('#skF_2')),sum(pred('#skF_2'),n15)) != sum(n7,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_114667,c_110786]) ).

tff(c_115014,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1044,c_114673,c_1004,c_110441,c_114675,c_114675,c_114733,c_774,c_114733,c_114668]) ).

tff(c_115015,plain,
    ( ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_114665]) ).

tff(c_115017,plain,
    n8 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_115015]) ).

tff(c_115080,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_115017,c_1334]) ).

tff(c_115079,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_115017,c_1376]) ).

tff(c_115110,plain,
    sum(sum(n13,n9),sum(pred('#skF_2'),n15)) != sum(n7,sum(pred('#skF_2'),n9)),
    inference(demodulation,[status(thm),theory(equality)],[c_115079,c_115079,c_110786]) ).

tff(c_115111,plain,
    sum(n7,sum(pred('#skF_2'),n9)) != sum(n1,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_744,c_115110]) ).

tff(c_115365,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1264,c_984,c_115080,c_982,c_996,c_115080,c_115111]) ).

tff(c_115366,plain,
    ( ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_115015]) ).

tff(c_115368,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_115366]) ).

tff(c_115433,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_115368,c_1326]) ).

tff(c_115431,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_115368,c_1368]) ).

tff(c_115465,plain,
    sum(sum(n13,n13),sum(pred('#skF_2'),n15)) != sum(n7,sum(pred('#skF_2'),n13)),
    inference(demodulation,[status(thm),theory(equality)],[c_115431,c_115431,c_110786]) ).

tff(c_115466,plain,
    sum(n7,sum(pred('#skF_2'),n13)) != sum(n5,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_736,c_115465]) ).

tff(c_115716,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1088,c_816,c_115433,c_1008,c_820,c_115433,c_115466]) ).

tff(c_115717,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_115366]) ).

tff(c_115719,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_115717]) ).

tff(c_115783,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_115719,c_1332]) ).

tff(c_115781,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_115719,c_1374]) ).

tff(c_115808,plain,
    sum(sum(n13,n10),sum(pred('#skF_2'),n15)) != sum(n7,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_115781,c_115781,c_110786]) ).

tff(c_115809,plain,
    sum(n7,sum(pred('#skF_2'),n10)) != sum(n2,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_742,c_115808]) ).

tff(c_116067,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1220,c_942,c_115783,c_978,c_952,c_115783,c_115809]) ).

tff(c_116068,plain,
    ( ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_115717]) ).

tff(c_116070,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_116068]) ).

tff(c_116135,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_116070,c_1328]) ).

tff(c_116132,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_116070,c_1370]) ).

tff(c_116159,plain,
    sum(sum(n13,n12),sum(pred('#skF_2'),n15)) != sum(n7,sum(pred('#skF_2'),n12)),
    inference(demodulation,[status(thm),theory(equality)],[c_116132,c_116132,c_110786]) ).

tff(c_116160,plain,
    sum(n7,sum(pred('#skF_2'),n12)) != sum(n4,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_738,c_116159]) ).

tff(c_116418,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1132,c_858,c_116135,c_1012,c_864,c_116135,c_116160]) ).

tff(c_116419,plain,
    n10 = '#skF_2',
    inference(splitRight,[status(thm)],[c_116068]) ).

tff(c_116485,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_116419,c_1330]) ).

tff(c_116482,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_116419,c_1372]) ).

tff(c_116517,plain,
    sum(sum(n13,n11),sum(pred('#skF_2'),n15)) != sum(n7,sum(pred('#skF_2'),n11)),
    inference(demodulation,[status(thm),theory(equality)],[c_116482,c_116482,c_110786]) ).

tff(c_116518,plain,
    sum(n7,sum(pred('#skF_2'),n11)) != sum(n3,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_740,c_116517]) ).

tff(c_116768,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1176,c_900,c_116485,c_974,c_908,c_116485,c_116518]) ).

tff(c_116769,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_110438]) ).

tff(c_116771,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_116769]) ).

tff(c_116835,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_116771,c_1378]) ).

tff(c_116832,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_116771,c_1336]) ).

tff(c_117118,plain,
    ( ( n2 = '#skF_2' )
    | ( n3 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n19 = '#skF_2' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_116771,c_91132]) ).

tff(c_117119,plain,
    n19 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_117118]) ).

tff(c_117181,plain,
    succ('#skF_2') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_117119,c_1354]) ).

tff(c_117183,plain,
    pred('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_117119,c_1312]) ).

tff(c_116860,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),n8)) != sum(sum(pred('#skF_1'),n8),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_116835,c_116835,c_422]) ).

tff(c_117117,plain,
    sum(sum(n6,succ('#skF_2')),sum(pred('#skF_2'),n8)) != sum(n14,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1040,c_116832,c_116832,c_116860]) ).

tff(c_117212,plain,
    sum(sum(n6,succ('#skF_2')),sum(n18,n8)) != sum(n14,sum(n18,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_117183,c_117183,c_117117]) ).

tff(c_117213,plain,
    sum(sum(n6,succ('#skF_2')),n5) != sum(n14,sum(n18,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_536,c_117212]) ).

tff(c_117467,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_686,c_512,c_117181,c_1088,c_1016,c_117181,c_117213]) ).

tff(c_117468,plain,
    ( ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n3 = '#skF_2' )
    | ( n2 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_117118]) ).

tff(c_117470,plain,
    n2 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_117468]) ).

tff(c_117533,plain,
    pred('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_117470,c_1346]) ).

tff(c_117534,plain,
    succ('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_117470,c_1388]) ).

tff(c_117563,plain,
    sum(sum(n6,n3),sum(pred('#skF_2'),n8)) != sum(n14,sum(pred('#skF_2'),n3)),
    inference(demodulation,[status(thm),theory(equality)],[c_117534,c_117534,c_117117]) ).

tff(c_117564,plain,
    sum(n9,sum(pred('#skF_2'),n8)) != sum(n14,sum(pred('#skF_2'),n3)),
    inference(demodulation,[status(thm),theory(equality)],[c_1050,c_117563]) ).

tff(c_117818,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_712,c_1260,c_117533,c_912,c_1250,c_117533,c_117564]) ).

tff(c_117819,plain,
    ( ( n3 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_117468]) ).

tff(c_117821,plain,
    n18 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_117819]) ).

tff(c_117883,plain,
    succ('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_117821,c_1356]) ).

tff(c_117886,plain,
    pred('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_117821,c_1314]) ).

tff(c_117910,plain,
    sum(sum(n6,succ('#skF_2')),sum(n17,n8)) != sum(n14,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_117886,c_117886,c_117117]) ).

tff(c_117911,plain,
    sum(sum(n6,succ('#skF_2')),n4) != sum(n14,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_578,c_117910]) ).

tff(c_118169,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_690,c_556,c_117883,c_1132,c_1018,c_117883,c_117911]) ).

tff(c_118170,plain,
    ( ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n3 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_117819]) ).

tff(c_118172,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_118170]) ).

tff(c_118234,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_118172,c_1344]) ).

tff(c_118237,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_118172,c_1386]) ).

tff(c_118261,plain,
    sum(sum(n6,n4),sum(pred('#skF_2'),n8)) != sum(n14,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_118237,c_118237,c_117117]) ).

tff(c_118262,plain,
    sum(n14,sum(pred('#skF_2'),n4)) != sum(n10,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_1048,c_118261]) ).

tff(c_118520,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_868,c_1208,c_118234,c_708,c_1216,c_118234,c_118262]) ).

tff(c_118521,plain,
    ( ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_118170]) ).

tff(c_118523,plain,
    n17 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_118521]) ).

tff(c_118585,plain,
    succ('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_118523,c_1358]) ).

tff(c_118586,plain,
    pred('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_118523,c_1316]) ).

tff(c_118616,plain,
    sum(sum(n6,succ('#skF_2')),sum(n16,n8)) != sum(n14,sum(n16,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_118586,c_118586,c_117117]) ).

tff(c_118617,plain,
    sum(sum(n6,succ('#skF_2')),n3) != sum(n14,sum(n16,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_620,c_118616]) ).

tff(c_118871,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_694,c_600,c_118585,c_1176,c_1020,c_118585,c_118617]) ).

tff(c_118872,plain,
    ( ( n16 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_118521]) ).

tff(c_118874,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_118872]) ).

tff(c_118938,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_118874,c_1342]) ).

tff(c_118936,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_118874,c_1384]) ).

tff(c_118971,plain,
    sum(sum(n6,n5),sum(pred('#skF_2'),n8)) != sum(n14,sum(pred('#skF_2'),n5)),
    inference(demodulation,[status(thm),theory(equality)],[c_118936,c_118936,c_117117]) ).

tff(c_118972,plain,
    sum(n14,sum(pred('#skF_2'),n5)) != sum(n11,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_1046,c_118971]) ).

tff(c_119222,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_824,c_1166,c_118938,c_704,c_1172,c_118938,c_118972]) ).

tff(c_119223,plain,
    ( ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_118872]) ).

tff(c_119225,plain,
    n16 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_119223]) ).

tff(c_119287,plain,
    pred('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_119225,c_1318]) ).

tff(c_119289,plain,
    succ('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_119225,c_1360]) ).

tff(c_119318,plain,
    sum(sum(n6,n17),sum(pred('#skF_2'),n8)) != sum(n14,sum(pred('#skF_2'),n17)),
    inference(demodulation,[status(thm),theory(equality)],[c_119289,c_119289,c_117117]) ).

tff(c_119319,plain,
    sum(n2,sum(pred('#skF_2'),n8)) != sum(n14,sum(pred('#skF_2'),n17)),
    inference(demodulation,[status(thm),theory(equality)],[c_1022,c_119318]) ).

tff(c_119573,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_698,c_644,c_119287,c_1220,c_662,c_119287,c_119319]) ).

tff(c_119574,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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_119223]) ).

tff(c_119576,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_119574]) ).

tff(c_119638,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_119576,c_1382]) ).

tff(c_119640,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_119576,c_1340]) ).

tff(c_119669,plain,
    sum(sum(n6,succ('#skF_2')),sum(n4,n8)) != sum(n14,sum(n4,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_119640,c_119640,c_117117]) ).

tff(c_119670,plain,
    sum(sum(n6,succ('#skF_2')),n12) != sum(n14,sum(n4,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1124,c_119669]) ).

tff(c_119924,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_700,c_1128,c_119638,c_780,c_1044,c_119638,c_119670]) ).

tff(c_119925,plain,
    ( ( n6 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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_119574]) ).

tff(c_119927,plain,
    n15 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_119925]) ).

tff(c_119989,plain,
    pred('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_119927,c_1320]) ).

tff(c_119992,plain,
    succ('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_119927,c_1362]) ).

tff(c_120016,plain,
    sum(sum(n6,n16),sum(pred('#skF_2'),n8)) != sum(n14,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_119992,c_119992,c_117117]) ).

tff(c_120017,plain,
    sum(n14,sum(pred('#skF_2'),n16)) != sum(n1,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_1024,c_120016]) ).

tff(c_120275,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1264,c_704,c_119989,c_702,c_688,c_119989,c_120017]) ).

tff(c_120276,plain,
    ( ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_119925]) ).

tff(c_120278,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_120276]) ).

tff(c_116812,plain,
    sum(n6,'#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_116771,c_1042]) ).

tff(c_120283,plain,
    sum('#skF_2','#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_120278,c_116812]) ).

tff(c_116772,plain,
    sum(n5,'#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_116771,c_1084]) ).

tff(c_116834,plain,
    succ(n6) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_116771,c_1380]) ).

tff(c_120287,plain,
    succ('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_120278,c_116834]) ).

tff(c_120344,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_120278,c_1338]) ).

tff(c_120279,plain,
    sum(sum('#skF_2',succ('#skF_2')),sum(pred('#skF_2'),n8)) != sum(n14,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_120278,c_117117]) ).

tff(c_120625,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_736,c_120283,c_696,c_116772,c_120287,c_120287,c_120344,c_1082,c_120344,c_120279]) ).

tff(c_120626,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( 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_120276]) ).

tff(c_120628,plain,
    n14 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_120626]) ).

tff(c_116783,plain,
    sum(n14,'#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_116771,c_706]) ).

tff(c_120632,plain,
    sum('#skF_2','#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_120628,c_116783]) ).

tff(c_116831,plain,
    sum(n13,n15) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_116771,c_732]) ).

tff(c_120692,plain,
    pred('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_120628,c_1322]) ).

tff(c_120694,plain,
    succ('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_120628,c_1364]) ).

tff(c_120629,plain,
    sum(sum(n6,succ('#skF_2')),sum(pred('#skF_2'),n8)) != sum('#skF_2',sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_120628,c_117117]) ).

tff(c_120975,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_120632,c_116831,c_120692,c_1308,c_746,c_120692,c_120694,c_1026,c_120694,c_120629]) ).

tff(c_120976,plain,
    ( ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_120626]) ).

tff(c_120978,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_120976]) ).

tff(c_120990,plain,
    sum(sum(n6,succ('#skF_1')),sum(pred('#skF_1'),n8)) != sum(n14,sum(pred('#skF_1'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_120978,c_120978,c_120978,c_120978,c_117117]) ).

tff(c_120996,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1040,c_116835,c_116835,c_116832,c_116832,c_120990]) ).

tff(c_120997,plain,
    ( ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_120976]) ).

tff(c_120999,plain,
    n13 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_120997]) ).

tff(c_121062,plain,
    succ('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_120999,c_1366]) ).

tff(c_121064,plain,
    pred('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_120999,c_1324]) ).

tff(c_121088,plain,
    sum(sum(n6,succ('#skF_2')),sum(n12,n8)) != sum(n14,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_121064,c_121064,c_117117]) ).

tff(c_121089,plain,
    sum(sum(n6,succ('#skF_2')),n20) != sum(n14,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_788,c_121088]) ).

tff(c_121347,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_710,c_776,c_121062,c_428,c_1028,c_121062,c_121089]) ).

tff(c_121348,plain,
    ( ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_120997]) ).

tff(c_121350,plain,
    n8 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_121348]) ).

tff(c_116794,plain,
    sum('#skF_1',n8) = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_116771,c_998]) ).

tff(c_121357,plain,
    sum('#skF_1','#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_121350,c_116794]) ).

tff(c_116795,plain,
    sum('#skF_1',n9) = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_116771,c_996]) ).

tff(c_116833,plain,
    pred(n8) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_116771,c_1334]) ).

tff(c_121358,plain,
    pred('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_121350,c_116833]) ).

tff(c_121415,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_121350,c_1376]) ).

tff(c_121351,plain,
    sum(sum(n6,succ('#skF_2')),sum(pred('#skF_2'),'#skF_2')) != sum(n14,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_121350,c_117117]) ).

tff(c_121697,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_648,c_121357,c_688,c_116795,c_121358,c_121358,c_121415,c_1038,c_121415,c_121351]) ).

tff(c_121698,plain,
    ( ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_121348]) ).

tff(c_121700,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_121698]) ).

tff(c_121765,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_121700,c_1326]) ).

tff(c_121763,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_121700,c_1368]) ).

tff(c_121797,plain,
    sum(sum(n6,n13),sum(pred('#skF_2'),n8)) != sum(n14,sum(pred('#skF_2'),n13)),
    inference(demodulation,[status(thm),theory(equality)],[c_121763,c_121763,c_117117]) ).

tff(c_121798,plain,
    sum(n19,sum(pred('#skF_2'),n8)) != sum(n14,sum(pred('#skF_2'),n13)),
    inference(demodulation,[status(thm),theory(equality)],[c_1030,c_121797]) ).

tff(c_122048,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_714,c_820,c_121765,c_472,c_830,c_121765,c_121798]) ).

tff(c_122049,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_121698]) ).

tff(c_122051,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_122049]) ).

tff(c_122115,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_122051,c_1332]) ).

tff(c_122113,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_122051,c_1374]) ).

tff(c_122140,plain,
    sum(sum(n6,n10),sum(pred('#skF_2'),n8)) != sum(n14,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_122113,c_122113,c_117117]) ).

tff(c_122141,plain,
    sum(n16,sum(pred('#skF_2'),n8)) != sum(n14,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_1036,c_122140]) ).

tff(c_122399,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_684,c_952,c_122115,c_604,c_956,c_122115,c_122141]) ).

tff(c_122400,plain,
    ( ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_122049]) ).

tff(c_122402,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_122400]) ).

tff(c_122467,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_122402,c_1328]) ).

tff(c_122464,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_122402,c_1370]) ).

tff(c_122491,plain,
    sum(sum(n6,n12),sum(pred('#skF_2'),n8)) != sum(n14,sum(pred('#skF_2'),n12)),
    inference(demodulation,[status(thm),theory(equality)],[c_122464,c_122464,c_117117]) ).

tff(c_122492,plain,
    sum(n18,sum(pred('#skF_2'),n8)) != sum(n14,sum(pred('#skF_2'),n12)),
    inference(demodulation,[status(thm),theory(equality)],[c_1032,c_122491]) ).

tff(c_122750,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_718,c_864,c_122467,c_516,c_872,c_122467,c_122492]) ).

tff(c_122751,plain,
    n10 = '#skF_2',
    inference(splitRight,[status(thm)],[c_122400]) ).

tff(c_122817,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_122751,c_1330]) ).

tff(c_122814,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_122751,c_1372]) ).

tff(c_122849,plain,
    sum(sum(n6,n11),sum(pred('#skF_2'),n8)) != sum(n14,sum(pred('#skF_2'),n11)),
    inference(demodulation,[status(thm),theory(equality)],[c_122814,c_122814,c_117117]) ).

tff(c_122850,plain,
    sum(n17,sum(pred('#skF_2'),n8)) != sum(n14,sum(pred('#skF_2'),n11)),
    inference(demodulation,[status(thm),theory(equality)],[c_1034,c_122849]) ).

tff(c_123100,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_680,c_908,c_122817,c_560,c_914,c_122817,c_122850]) ).

tff(c_123101,plain,
    ( ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_116769]) ).

tff(c_123103,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_123101]) ).

tff(c_123167,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_123103,c_1324]) ).

tff(c_123165,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_123103,c_1366]) ).

tff(c_123148,plain,
    sum(n5,n8) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_123103,c_1082]) ).

tff(c_123161,plain,
    sum(n5,'#skF_1') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_123103,c_1072]) ).

tff(c_123152,plain,
    sum(n16,n18) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_123103,c_600]) ).

tff(c_123450,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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n19 = '#skF_2' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_123103,c_91132]) ).

tff(c_123451,plain,
    n19 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_123450]) ).

tff(c_123515,plain,
    pred('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_123451,c_1312]) ).

tff(c_123513,plain,
    succ('#skF_2') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_123451,c_1354]) ).

tff(c_123196,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_123167,c_123167,c_422]) ).

tff(c_123449,plain,
    sum(sum(n12,succ('#skF_2')),sum(pred('#skF_2'),n14)) != sum(n5,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_776,c_123165,c_123165,c_123196]) ).

tff(c_123548,plain,
    sum(sum(n12,n20),sum(pred('#skF_2'),n14)) != sum(n5,sum(pred('#skF_2'),n20)),
    inference(demodulation,[status(thm),theory(equality)],[c_123513,c_123513,c_123449]) ).

tff(c_123549,plain,
    sum(n5,sum(pred('#skF_2'),n20)) != sum(n11,sum(pred('#skF_2'),n14)),
    inference(demodulation,[status(thm),theory(equality)],[c_764,c_123548]) ).

tff(c_123799,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_824,c_524,c_123515,c_1064,c_512,c_123515,c_123549]) ).

tff(c_123800,plain,
    ( ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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_123450]) ).

tff(c_123802,plain,
    n2 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_123800]) ).

tff(c_123866,plain,
    succ('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_123802,c_1388]) ).

tff(c_123865,plain,
    pred('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_123802,c_1346]) ).

tff(c_123895,plain,
    sum(sum(n12,succ('#skF_2')),sum(n1,n14)) != sum(n5,sum(n1,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_123865,c_123865,c_123449]) ).

tff(c_123896,plain,
    sum(sum(n12,succ('#skF_2')),n15) != sum(n5,sum(n1,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1238,c_123895]) ).

tff(c_124150,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1090,c_1260,c_123866,c_648,c_798,c_123866,c_123896]) ).

tff(c_124151,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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_123800]) ).

tff(c_124153,plain,
    n18 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_124151]) ).

tff(c_124215,plain,
    succ('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_124153,c_1356]) ).

tff(c_124218,plain,
    pred('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_124153,c_1314]) ).

tff(c_124242,plain,
    sum(sum(n12,succ('#skF_2')),sum(n17,n14)) != sum(n5,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_124218,c_124218,c_123449]) ).

tff(c_124243,plain,
    sum(sum(n12,succ('#skF_2')),n10) != sum(n5,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_566,c_124242]) ).

tff(c_124501,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1068,c_556,c_124215,c_868,c_766,c_124215,c_124243]) ).

tff(c_124502,plain,
    ( ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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_124151]) ).

tff(c_124504,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_124502]) ).

tff(c_124566,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_124504,c_1344]) ).

tff(c_124569,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_124504,c_1386]) ).

tff(c_124593,plain,
    sum(sum(n12,n4),sum(pred('#skF_2'),n14)) != sum(n5,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_124569,c_124569,c_123449]) ).

tff(c_124594,plain,
    sum(n5,sum(pred('#skF_2'),n4)) != sum(n16,sum(pred('#skF_2'),n14)),
    inference(demodulation,[status(thm),theory(equality)],[c_796,c_124593]) ).

tff(c_124852,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_604,c_1196,c_124566,c_1086,c_1216,c_124566,c_124594]) ).

tff(c_124853,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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_124502]) ).

tff(c_124855,plain,
    n17 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_124853]) ).

tff(c_124918,plain,
    pred('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_124855,c_1316]) ).

tff(c_124917,plain,
    succ('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_124855,c_1358]) ).

tff(c_124952,plain,
    sum(sum(n12,n18),sum(pred('#skF_2'),n14)) != sum(n5,sum(pred('#skF_2'),n18)),
    inference(demodulation,[status(thm),theory(equality)],[c_124917,c_124917,c_123449]) ).

tff(c_124953,plain,
    sum(n9,sum(pred('#skF_2'),n14)) != sum(n5,sum(pred('#skF_2'),n18)),
    inference(demodulation,[status(thm),theory(equality)],[c_768,c_124952]) ).

tff(c_125203,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_123161,c_123152,c_124918,c_912,c_608,c_124918,c_124953]) ).

tff(c_125204,plain,
    ( ( n16 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_124853]) ).

tff(c_125206,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_125204]) ).

tff(c_125268,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_125206,c_1384]) ).

tff(c_123154,plain,
    sum(n17,n17) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_123103,c_560]) ).

tff(c_125270,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_125206,c_1342]) ).

tff(c_125299,plain,
    sum(sum(n12,succ('#skF_2')),sum(n3,n14)) != sum(n5,sum(n3,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_125270,c_125270,c_123449]) ).

tff(c_125300,plain,
    sum(sum(n12,succ('#skF_2')),n17) != sum(n5,sum(n3,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1154,c_125299]) ).

tff(c_125554,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_123148,c_1172,c_125268,c_123154,c_794,c_125268,c_125300]) ).

tff(c_125555,plain,
    ( ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_125204]) ).

tff(c_125557,plain,
    n16 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_125555]) ).

tff(c_125610,plain,
    sum(n8,n8) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_125557,c_956]) ).

tff(c_125614,plain,
    sum(n5,n11) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_125557,c_1076]) ).

tff(c_125619,plain,
    pred('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_125557,c_1318]) ).

tff(c_125621,plain,
    succ('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_125557,c_1360]) ).

tff(c_125650,plain,
    sum(sum(n12,n17),sum(pred('#skF_2'),n14)) != sum(n5,sum(pred('#skF_2'),n17)),
    inference(demodulation,[status(thm),theory(equality)],[c_125621,c_125621,c_123449]) ).

tff(c_125651,plain,
    sum(n8,sum(pred('#skF_2'),n14)) != sum(n5,sum(pred('#skF_2'),n17)),
    inference(demodulation,[status(thm),theory(equality)],[c_770,c_125650]) ).

tff(c_125905,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_125610,c_125614,c_644,c_125619,c_650,c_125619,c_125651]) ).

tff(c_125906,plain,
    ( ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_125555]) ).

tff(c_125908,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_125906]) ).

tff(c_125949,plain,
    sum('#skF_2',n10) = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_125908,c_1078]) ).

tff(c_125971,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_125908,c_1382]) ).

tff(c_125973,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_125908,c_1340]) ).

tff(c_125909,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_125908,c_123449]) ).

tff(c_126255,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_125949,c_1128,c_125971,c_516,c_792,c_125971,c_125973,c_1112,c_125973,c_125909]) ).

tff(c_126256,plain,
    ( ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_125906]) ).

tff(c_126258,plain,
    n15 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_126256]) ).

tff(c_126320,plain,
    pred('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_126258,c_1320]) ).

tff(c_126323,plain,
    succ('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_126258,c_1362]) ).

tff(c_126347,plain,
    sum(sum(n12,n16),sum(pred('#skF_2'),n14)) != sum(n5,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_126323,c_126323,c_123449]) ).

tff(c_126348,plain,
    sum(n7,sum(pred('#skF_2'),n14)) != sum(n5,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_772,c_126347]) ).

tff(c_126606,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1080,c_688,c_126320,c_1000,c_692,c_126320,c_126348]) ).

tff(c_126607,plain,
    ( ( n14 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_126256]) ).

tff(c_126609,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_126607]) ).

tff(c_126672,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_126609,c_1338]) ).

tff(c_126674,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_126609,c_1380]) ).

tff(c_126698,plain,
    sum(sum(n12,n7),sum(pred('#skF_2'),n14)) != sum(n5,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_126674,c_126674,c_123449]) ).

tff(c_126699,plain,
    sum(n5,sum(pred('#skF_2'),n7)) != sum(n19,sum(pred('#skF_2'),n14)),
    inference(demodulation,[status(thm),theory(equality)],[c_790,c_126698]) ).

tff(c_126957,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_472,c_1070,c_126672,c_1074,c_1084,c_126672,c_126699]) ).

tff(c_126958,plain,
    ( ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n14 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_126607]) ).

tff(c_126960,plain,
    n14 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_126958]) ).

tff(c_123160,plain,
    sum('#skF_1',n14) = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_123103,c_734]) ).

tff(c_126962,plain,
    sum('#skF_1','#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_126960,c_123160]) ).

tff(c_123162,plain,
    sum('#skF_1',n15) = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_123103,c_732]) ).

tff(c_123166,plain,
    pred(n14) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_123103,c_1322]) ).

tff(c_126969,plain,
    pred('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_126960,c_123166]) ).

tff(c_127026,plain,
    succ('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_126960,c_1364]) ).

tff(c_126961,plain,
    sum(sum(n12,succ('#skF_2')),sum(pred('#skF_2'),'#skF_2')) != sum(n5,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_126960,c_123449]) ).

tff(c_127307,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1044,c_126962,c_1084,c_123162,c_126969,c_126969,c_127026,c_774,c_127026,c_126961]) ).

tff(c_127308,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_126958]) ).

tff(c_127310,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_127308]) ).

tff(c_127372,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_127310,c_1336]) ).

tff(c_127375,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_127310,c_1378]) ).

tff(c_127399,plain,
    sum(sum(n12,n8),sum(pred('#skF_2'),n14)) != sum(n5,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_127375,c_127375,c_123449]) ).

tff(c_127400,plain,
    sum(n5,sum(pred('#skF_2'),n8)) != sum(n20,sum(pred('#skF_2'),n14)),
    inference(demodulation,[status(thm),theory(equality)],[c_788,c_127399]) ).

tff(c_127658,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_428,c_1028,c_127372,c_1070,c_1040,c_127372,c_127400]) ).

tff(c_127659,plain,
    ( ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_127308]) ).

tff(c_127661,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_127659]) ).

tff(c_127674,plain,
    sum(sum(n12,succ('#skF_1')),sum(pred('#skF_1'),n14)) != sum(n5,sum(pred('#skF_1'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_127661,c_127661,c_127661,c_127661,c_123449]) ).

tff(c_127680,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_776,c_123167,c_123167,c_123165,c_123165,c_127674]) ).

tff(c_127681,plain,
    ( ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_127659]) ).

tff(c_127683,plain,
    n8 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_127681]) ).

tff(c_127745,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_127683,c_1376]) ).

tff(c_127746,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_127683,c_1334]) ).

tff(c_127780,plain,
    sum(sum(n12,succ('#skF_2')),sum(n7,n14)) != sum(n5,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_127746,c_127746,c_123449]) ).

tff(c_127781,plain,
    sum(sum(n12,succ('#skF_2')),n0) != sum(n5,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_986,c_127780]) ).

tff(c_128031,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1066,c_996,c_127745,c_1308,c_786,c_127745,c_127781]) ).

tff(c_128032,plain,
    ( ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_127681]) ).

tff(c_128034,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_128032]) ).

tff(c_123144,plain,
    sum(n12,'#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_123103,c_778]) ).

tff(c_128037,plain,
    sum('#skF_2','#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_128034,c_123144]) ).

tff(c_123158,plain,
    sum(n11,'#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_123103,c_820]) ).

tff(c_123164,plain,
    succ(n12) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_123103,c_1368]) ).

tff(c_128042,plain,
    succ('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_128034,c_123164]) ).

tff(c_128100,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_128034,c_1326]) ).

tff(c_128035,plain,
    sum(sum('#skF_2',succ('#skF_2')),sum(pred('#skF_2'),n14)) != sum(n5,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_128034,c_123449]) ).

tff(c_128381,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1132,c_128037,c_1092,c_123158,c_128042,c_128042,c_128100,c_818,c_128100,c_128035]) ).

tff(c_128382,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_128032]) ).

tff(c_128384,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_128382]) ).

tff(c_128448,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_128384,c_1332]) ).

tff(c_128446,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_128384,c_1374]) ).

tff(c_128473,plain,
    sum(sum(n12,n10),sum(pred('#skF_2'),n14)) != sum(n5,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_128446,c_128446,c_123449]) ).

tff(c_128474,plain,
    sum(n5,sum(pred('#skF_2'),n10)) != sum(n1,sum(pred('#skF_2'),n14)),
    inference(demodulation,[status(thm),theory(equality)],[c_784,c_128473]) ).

tff(c_128732,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1264,c_944,c_128448,c_1062,c_952,c_128448,c_128474]) ).

tff(c_128733,plain,
    ( ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_128382]) ).

tff(c_128735,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_128733]) ).

tff(c_128800,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_128735,c_1328]) ).

tff(c_128797,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_128735,c_1370]) ).

tff(c_128824,plain,
    sum(sum(n12,n12),sum(pred('#skF_2'),n14)) != sum(n5,sum(pred('#skF_2'),n12)),
    inference(demodulation,[status(thm),theory(equality)],[c_128797,c_128797,c_123449]) ).

tff(c_128825,plain,
    sum(n5,sum(pred('#skF_2'),n12)) != sum(n3,sum(pred('#skF_2'),n14)),
    inference(demodulation,[status(thm),theory(equality)],[c_780,c_128824]) ).

tff(c_129083,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1176,c_860,c_128800,c_1096,c_864,c_128800,c_128825]) ).

tff(c_129084,plain,
    n10 = '#skF_2',
    inference(splitRight,[status(thm)],[c_128733]) ).

tff(c_129150,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_129084,c_1330]) ).

tff(c_129147,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_129084,c_1372]) ).

tff(c_129182,plain,
    sum(sum(n12,n11),sum(pred('#skF_2'),n14)) != sum(n5,sum(pred('#skF_2'),n11)),
    inference(demodulation,[status(thm),theory(equality)],[c_129147,c_129147,c_123449]) ).

tff(c_129183,plain,
    sum(n5,sum(pred('#skF_2'),n11)) != sum(n2,sum(pred('#skF_2'),n14)),
    inference(demodulation,[status(thm),theory(equality)],[c_782,c_129182]) ).

tff(c_129433,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1220,c_902,c_129150,c_1058,c_908,c_129150,c_129183]) ).

tff(c_129434,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_123101]) ).

tff(c_129436,plain,
    n8 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_129434]) ).

tff(c_129497,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_129436,c_1376]) ).

tff(c_129498,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_129436,c_1334]) ).

tff(c_129478,plain,
    sum(n16,n13) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_129436,c_610]) ).

tff(c_129783,plain,
    ( ( n2 = '#skF_2' )
    | ( n3 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' )
    | ( n19 = '#skF_2' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_129436,c_91132]) ).

tff(c_129784,plain,
    n19 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_129783]) ).

tff(c_129846,plain,
    succ('#skF_2') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_129784,c_1354]) ).

tff(c_129848,plain,
    pred('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_129784,c_1312]) ).

tff(c_129525,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),n9)) != sum(sum(pred('#skF_1'),n9),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_129497,c_129497,c_422]) ).

tff(c_129782,plain,
    sum(sum(n7,succ('#skF_2')),sum(pred('#skF_2'),n9)) != sum(n16,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_996,c_129498,c_129498,c_129525]) ).

tff(c_129877,plain,
    sum(sum(n7,succ('#skF_2')),sum(n18,n9)) != sum(n16,sum(n18,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_129848,c_129848,c_129782]) ).

tff(c_129878,plain,
    sum(sum(n7,succ('#skF_2')),n6) != sum(n16,sum(n18,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_534,c_129877]) ).

tff(c_130132,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_602,c_512,c_129846,c_1044,c_974,c_129846,c_129878]) ).

tff(c_130133,plain,
    ( ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n3 = '#skF_2' )
    | ( n2 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_129783]) ).

tff(c_130135,plain,
    n2 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_130133]) ).

tff(c_130198,plain,
    pred('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_130135,c_1346]) ).

tff(c_130199,plain,
    succ('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_130135,c_1388]) ).

tff(c_130228,plain,
    sum(sum(n7,n3),sum(pred('#skF_2'),n9)) != sum(n16,sum(pred('#skF_2'),n3)),
    inference(demodulation,[status(thm),theory(equality)],[c_130199,c_130199,c_129782]) ).

tff(c_130229,plain,
    sum(n16,sum(pred('#skF_2'),n3)) != sum(n10,sum(pred('#skF_2'),n9)),
    inference(demodulation,[status(thm),theory(equality)],[c_1008,c_130228]) ).

tff(c_130483,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_868,c_1248,c_130198,c_628,c_1260,c_130198,c_130229]) ).

tff(c_130484,plain,
    ( ( n3 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_130133]) ).

tff(c_130486,plain,
    n18 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_130484]) ).

tff(c_130548,plain,
    succ('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_130486,c_1356]) ).

tff(c_130551,plain,
    pred('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_130486,c_1314]) ).

tff(c_130575,plain,
    sum(sum(n7,succ('#skF_2')),sum(n17,n9)) != sum(n16,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_130551,c_130551,c_129782]) ).

tff(c_130576,plain,
    sum(sum(n7,succ('#skF_2')),n5) != sum(n16,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_576,c_130575]) ).

tff(c_130834,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_606,c_556,c_130548,c_1088,c_976,c_130548,c_130576]) ).

tff(c_130835,plain,
    ( ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n3 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_130484]) ).

tff(c_130837,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_130835]) ).

tff(c_130899,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_130837,c_1344]) ).

tff(c_130902,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_130837,c_1386]) ).

tff(c_130926,plain,
    sum(sum(n7,n4),sum(pred('#skF_2'),n9)) != sum(n16,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_130902,c_130902,c_129782]) ).

tff(c_130927,plain,
    sum(n16,sum(pred('#skF_2'),n4)) != sum(n11,sum(pred('#skF_2'),n9)),
    inference(demodulation,[status(thm),theory(equality)],[c_1006,c_130926]) ).

tff(c_131185,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_824,c_1206,c_130899,c_624,c_1216,c_130899,c_130927]) ).

tff(c_131186,plain,
    ( ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_130835]) ).

tff(c_131188,plain,
    n17 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_131186]) ).

tff(c_131250,plain,
    succ('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_131188,c_1358]) ).

tff(c_129475,plain,
    sum(n4,n4) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_129436,c_1132]) ).

tff(c_131251,plain,
    pred('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_131188,c_1316]) ).

tff(c_131281,plain,
    sum(sum(n7,succ('#skF_2')),sum(n16,n9)) != sum(n16,sum(n16,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_131251,c_131251,c_129782]) ).

tff(c_131282,plain,
    sum(sum(n7,succ('#skF_2')),n4) != sum(n16,sum(n16,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_618,c_131281]) ).

tff(c_131536,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_129478,c_600,c_131250,c_129475,c_978,c_131250,c_131282]) ).

tff(c_131537,plain,
    ( ( n16 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_131186]) ).

tff(c_131539,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_131537]) ).

tff(c_131603,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_131539,c_1342]) ).

tff(c_129477,plain,
    sum(n16,'#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_129436,c_620]) ).

tff(c_129492,plain,
    sum(n3,n5) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_129436,c_1172]) ).

tff(c_131601,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_131539,c_1384]) ).

tff(c_131636,plain,
    sum(sum(n7,n5),sum(pred('#skF_2'),n9)) != sum(n16,sum(pred('#skF_2'),n5)),
    inference(demodulation,[status(thm),theory(equality)],[c_131601,c_131601,c_129782]) ).

tff(c_131637,plain,
    sum(n16,sum(pred('#skF_2'),n5)) != sum(n12,sum(pred('#skF_2'),n9)),
    inference(demodulation,[status(thm),theory(equality)],[c_1004,c_131636]) ).

tff(c_131887,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_780,c_1164,c_131603,c_129477,c_129492,c_131603,c_131637]) ).

tff(c_131888,plain,
    ( ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_131537]) ).

tff(c_131890,plain,
    n16 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_131888]) ).

tff(c_131933,plain,
    sum('#skF_2',n11) = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_131890,c_614]) ).

tff(c_131953,plain,
    pred('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_131890,c_1318]) ).

tff(c_131955,plain,
    succ('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_131890,c_1360]) ).

tff(c_131891,plain,
    sum(sum(n7,succ('#skF_2')),sum(pred('#skF_2'),n9)) != sum('#skF_2',sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_131890,c_129782]) ).

tff(c_132237,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_131933,c_644,c_131953,c_1176,c_660,c_131953,c_131955,c_980,c_131955,c_131891]) ).

tff(c_132238,plain,
    ( ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_131888]) ).

tff(c_132240,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_132238]) ).

tff(c_132286,plain,
    sum(n16,n10) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_132240,c_616]) ).

tff(c_132273,plain,
    sum(n13,n13) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_132240,c_736]) ).

tff(c_132302,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_132240,c_1382]) ).

tff(c_132304,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_132240,c_1340]) ).

tff(c_132333,plain,
    sum(sum(n7,succ('#skF_2')),sum(n4,n9)) != sum(n16,sum(n4,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_132304,c_132304,c_129782]) ).

tff(c_132334,plain,
    sum(sum(n7,succ('#skF_2')),n13) != sum(n16,sum(n4,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1122,c_132333]) ).

tff(c_132588,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_132286,c_132273,c_1128,c_132302,c_1002,c_132302,c_132334]) ).

tff(c_132589,plain,
    ( ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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_132238]) ).

tff(c_132591,plain,
    n15 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_132589]) ).

tff(c_132653,plain,
    pred('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_132591,c_1320]) ).

tff(c_132656,plain,
    succ('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_132591,c_1362]) ).

tff(c_132680,plain,
    sum(sum(n7,n16),sum(pred('#skF_2'),n9)) != sum(n16,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_132656,c_132656,c_129782]) ).

tff(c_132681,plain,
    sum(n2,sum(pred('#skF_2'),n9)) != sum(n16,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_982,c_132680]) ).

tff(c_132939,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_618,c_688,c_132653,c_1220,c_702,c_132653,c_132681]) ).

tff(c_132940,plain,
    ( ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_132589]) ).

tff(c_132942,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_132940]) ).

tff(c_133005,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_132942,c_1338]) ).

tff(c_133007,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_132942,c_1380]) ).

tff(c_133031,plain,
    sum(sum(n7,n7),sum(pred('#skF_2'),n9)) != sum(n16,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_133007,c_133007,c_129782]) ).

tff(c_133032,plain,
    sum(n16,sum(pred('#skF_2'),n7)) != sum(n14,sum(pred('#skF_2'),n9)),
    inference(demodulation,[status(thm),theory(equality)],[c_1000,c_133031]) ).

tff(c_133290,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_692,c_1080,c_133005,c_612,c_1084,c_133005,c_133032]) ).

tff(c_133291,plain,
    ( ( n7 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_132940]) ).

tff(c_133293,plain,
    n14 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_133291]) ).

tff(c_133356,plain,
    pred('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_133293,c_1322]) ).

tff(c_133358,plain,
    succ('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_133293,c_1364]) ).

tff(c_133382,plain,
    sum(sum(n7,n15),sum(pred('#skF_2'),n9)) != sum(n16,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_133358,c_133358,c_129782]) ).

tff(c_133383,plain,
    sum(n16,sum(pred('#skF_2'),n15)) != sum(n1,sum(pred('#skF_2'),n9)),
    inference(demodulation,[status(thm),theory(equality)],[c_984,c_133382]) ).

tff(c_133641,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1264,c_744,c_133356,c_622,c_732,c_133356,c_133383]) ).

tff(c_133642,plain,
    ( ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_133291]) ).

tff(c_133644,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_133642]) ).

tff(c_129457,plain,
    sum(n7,'#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_129436,c_998]) ).

tff(c_133650,plain,
    sum('#skF_2','#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_133644,c_129457]) ).

tff(c_129466,plain,
    sum(n6,'#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_129436,c_1040]) ).

tff(c_129500,plain,
    succ(n7) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_129436,c_1378]) ).

tff(c_133653,plain,
    succ('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_133644,c_129500]) ).

tff(c_133709,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_133644,c_1336]) ).

tff(c_133645,plain,
    sum(sum('#skF_2',succ('#skF_2')),sum(pred('#skF_2'),n9)) != sum(n16,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_133644,c_129782]) ).

tff(c_133991,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_648,c_133650,c_608,c_129466,c_133653,c_133653,c_133709,c_1038,c_133709,c_133645]) ).

tff(c_133992,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_133642]) ).

tff(c_133994,plain,
    n13 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_133992]) ).

tff(c_134057,plain,
    succ('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_133994,c_1366]) ).

tff(c_134059,plain,
    pred('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_133994,c_1324]) ).

tff(c_134083,plain,
    sum(sum(n7,succ('#skF_2')),sum(n12,n9)) != sum(n16,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_134059,c_134059,c_129782]) ).

tff(c_134084,plain,
    sum(sum(n7,succ('#skF_2')),n0) != sum(n16,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_786,c_134083]) ).

tff(c_134342,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_626,c_776,c_134057,c_1308,c_986,c_134057,c_134084]) ).

tff(c_134343,plain,
    ( ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_133992]) ).

tff(c_134345,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_134343]) ).

tff(c_134359,plain,
    sum(sum(n7,succ('#skF_1')),sum(pred('#skF_1'),n9)) != sum(n16,sum(pred('#skF_1'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_134345,c_134345,c_134345,c_134345,c_129782]) ).

tff(c_134365,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_996,c_129497,c_129497,c_129498,c_129498,c_134359]) ).

tff(c_134366,plain,
    ( ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_134343]) ).

tff(c_134368,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_134366]) ).

tff(c_134433,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_134368,c_1326]) ).

tff(c_134431,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_134368,c_1368]) ).

tff(c_134465,plain,
    sum(sum(n7,n13),sum(pred('#skF_2'),n9)) != sum(n16,sum(pred('#skF_2'),n13)),
    inference(demodulation,[status(thm),theory(equality)],[c_134431,c_134431,c_129782]) ).

tff(c_134466,plain,
    sum(n20,sum(pred('#skF_2'),n9)) != sum(n16,sum(pred('#skF_2'),n13)),
    inference(demodulation,[status(thm),theory(equality)],[c_988,c_134465]) ).

tff(c_134716,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_630,c_820,c_134433,c_428,c_828,c_134433,c_134466]) ).

tff(c_134717,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_134366]) ).

tff(c_134719,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_134717]) ).

tff(c_129488,plain,
    sum('#skF_1',n9) = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_129436,c_954]) ).

tff(c_134725,plain,
    sum('#skF_1','#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_134719,c_129488]) ).

tff(c_129489,plain,
    sum('#skF_1',n10) = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_129436,c_952]) ).

tff(c_129499,plain,
    pred(n9) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_129436,c_1332]) ).

tff(c_134727,plain,
    pred('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_134719,c_129499]) ).

tff(c_134784,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_134719,c_1374]) ).

tff(c_134720,plain,
    sum(sum(n7,succ('#skF_2')),sum(pred('#skF_2'),'#skF_2')) != sum(n16,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_134719,c_129782]) ).

tff(c_135066,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_560,c_134725,c_600,c_129489,c_134727,c_134727,c_134784,c_994,c_134784,c_134720]) ).

tff(c_135067,plain,
    ( ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_134717]) ).

tff(c_135069,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_135067]) ).

tff(c_135134,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_135069,c_1328]) ).

tff(c_135131,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_135069,c_1370]) ).

tff(c_135158,plain,
    sum(sum(n7,n12),sum(pred('#skF_2'),n9)) != sum(n16,sum(pred('#skF_2'),n12)),
    inference(demodulation,[status(thm),theory(equality)],[c_135131,c_135131,c_129782]) ).

tff(c_135159,plain,
    sum(n19,sum(pred('#skF_2'),n9)) != sum(n16,sum(pred('#skF_2'),n12)),
    inference(demodulation,[status(thm),theory(equality)],[c_990,c_135158]) ).

tff(c_135417,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_634,c_864,c_135134,c_472,c_870,c_135134,c_135159]) ).

tff(c_135418,plain,
    n10 = '#skF_2',
    inference(splitRight,[status(thm)],[c_135067]) ).

tff(c_135481,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_135418,c_1372]) ).

tff(c_135484,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_135418,c_1330]) ).

tff(c_135512,plain,
    sum(sum(n7,succ('#skF_2')),sum(n9,n9)) != sum(n16,sum(n9,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_135484,c_135484,c_129782]) ).

tff(c_135513,plain,
    sum(sum(n7,succ('#skF_2')),n18) != sum(n16,sum(n9,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_912,c_135512]) ).

tff(c_135767,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_596,c_908,c_135481,c_516,c_992,c_135481,c_135513]) ).

tff(c_135768,plain,
    ( ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_129434]) ).

tff(c_137499,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_135768]) ).

tff(c_137563,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_137499,c_1326]) ).

tff(c_137561,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_137499,c_1368]) ).

tff(c_137535,plain,
    sum(n3,n9) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_137499,c_1164]) ).

tff(c_136117,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_135768]) ).

tff(c_136180,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_136117,c_1368]) ).

tff(c_136182,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_136117,c_1326]) ).

tff(c_135770,plain,
    n19 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_91132]) ).

tff(c_135832,plain,
    succ('#skF_2') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_135770,c_1354]) ).

tff(c_135834,plain,
    pred('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_135770,c_1312]) ).

tff(c_135864,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n18,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n18,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_135834,c_135834,c_422]) ).

tff(c_136447,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_868,c_526,c_136180,c_1148,c_820,c_136180,c_136182,c_806,c_136182,c_512,c_135832,c_135832,c_135864]) ).

tff(c_136448,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_135768]) ).

tff(c_136450,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_136448]) ).

tff(c_136514,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_136450,c_1332]) ).

tff(c_136512,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_136450,c_1374]) ).

tff(c_136796,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_518,c_952,c_136514,c_1000,c_932,c_136514,c_136512,c_532,c_136512,c_512,c_135832,c_135832,c_135864]) ).

tff(c_136797,plain,
    ( ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_136448]) ).

tff(c_136799,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_136797]) ).

tff(c_136864,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_136799,c_1328]) ).

tff(c_136861,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_136799,c_1370]) ).

tff(c_137145,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1232,c_864,c_136864,c_912,c_848,c_136864,c_136861,c_528,c_136861,c_512,c_135832,c_135832,c_135864]) ).

tff(c_137146,plain,
    n10 = '#skF_1',
    inference(splitRight,[status(thm)],[c_136797]) ).

tff(c_137210,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_137146,c_1372]) ).

tff(c_137213,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_137146,c_1330]) ).

tff(c_137148,plain,
    sum(sum(pred('#skF_1'),n20),sum(n18,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n17),
    inference(demodulation,[status(thm),theory(equality)],[c_512,c_135832,c_135832,c_135864]) ).

tff(c_137241,plain,
    sum(sum(n9,n20),sum(n18,succ('#skF_1'))) != sum(sum(n9,succ('#skF_1')),n17),
    inference(demodulation,[status(thm),theory(equality)],[c_137213,c_137213,c_137148]) ).

tff(c_137242,plain,
    sum(sum(n9,succ('#skF_1')),n17) != sum(n8,sum(n18,succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_890,c_137241]) ).

tff(c_137496,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_956,c_530,c_137210,c_434,c_908,c_137210,c_137242]) ).

tff(c_137497,plain,
    ( ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( 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' ) ),
    inference(splitRight,[status(thm)],[c_91132]) ).

tff(c_137846,plain,
    ( ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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(demodulation,[status(thm),theory(equality)],[c_137499,c_137497]) ).

tff(c_137847,plain,
    n2 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_137846]) ).

tff(c_137911,plain,
    succ('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_137847,c_1388]) ).

tff(c_137910,plain,
    pred('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_137847,c_1346]) ).

tff(c_137592,plain,
    sum(sum(n11,succ('#skF_2')),sum(pred('#skF_2'),succ('#skF_1'))) != sum(sum(n11,succ('#skF_1')),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_137563,c_137563,c_422]) ).

tff(c_137845,plain,
    sum(sum(n11,succ('#skF_2')),sum(pred('#skF_2'),n13)) != sum(n3,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_820,c_137561,c_137561,c_137592]) ).

tff(c_137940,plain,
    sum(sum(n11,succ('#skF_2')),sum(n1,n13)) != sum(n3,sum(n1,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_137910,c_137910,c_137845]) ).

tff(c_137941,plain,
    sum(sum(n11,succ('#skF_2')),n14) != sum(n3,sum(n1,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1240,c_137940]) ).

tff(c_138195,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1174,c_1260,c_137911,c_692,c_840,c_137911,c_137941]) ).

tff(c_138196,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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_137846]) ).

tff(c_138198,plain,
    n18 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_138196]) ).

tff(c_138257,plain,
    sum(n3,n15) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_138198,c_1152]) ).

tff(c_138226,plain,
    sum(n9,n9) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_138198,c_912]) ).

tff(c_138260,plain,
    succ('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_138198,c_1356]) ).

tff(c_138263,plain,
    pred('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_138198,c_1314]) ).

tff(c_138287,plain,
    sum(sum(n11,succ('#skF_2')),sum(n17,n13)) != sum(n3,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_138263,c_138263,c_137845]) ).

tff(c_138288,plain,
    sum(sum(n11,succ('#skF_2')),n9) != sum(n3,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_568,c_138287]) ).

tff(c_138546,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_138257,c_138226,c_556,c_138260,c_808,c_138260,c_138288]) ).

tff(c_138547,plain,
    ( ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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_138196]) ).

tff(c_138549,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_138547]) ).

tff(c_138606,plain,
    sum('#skF_2',n6) = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_138549,c_1170]) ).

tff(c_138612,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_138549,c_1344]) ).

tff(c_138615,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_138549,c_1386]) ).

tff(c_138550,plain,
    sum(sum(n11,succ('#skF_2')),sum(pred('#skF_2'),n13)) != sum('#skF_2',sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_138549,c_137845]) ).

tff(c_138896,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_138606,c_1216,c_138612,c_648,c_1198,c_138612,c_138615,c_838,c_138615,c_138550]) ).

tff(c_138897,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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_138547]) ).

tff(c_138899,plain,
    n17 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_138897]) ).

tff(c_138961,plain,
    succ('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_138899,c_1358]) ).

tff(c_138962,plain,
    pred('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_138899,c_1316]) ).

tff(c_138996,plain,
    sum(sum(n11,succ('#skF_2')),sum(n16,n13)) != sum(n3,sum(n16,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_138962,c_138962,c_137845]) ).

tff(c_138997,plain,
    sum(sum(n11,succ('#skF_2')),n8) != sum(n3,sum(n16,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_610,c_138996]) ).

tff(c_139247,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1156,c_600,c_138961,c_956,c_810,c_138961,c_138997]) ).

tff(c_139248,plain,
    ( ( n16 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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_138897]) ).

tff(c_139250,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_139248]) ).

tff(c_139312,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_139250,c_1384]) ).

tff(c_139314,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_139250,c_1342]) ).

tff(c_139343,plain,
    sum(sum(n11,succ('#skF_2')),sum(n3,n13)) != sum(n3,sum(n3,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_139314,c_139314,c_137845]) ).

tff(c_139344,plain,
    sum(sum(n11,succ('#skF_2')),n16) != sum(n3,sum(n3,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1156,c_139343]) ).

tff(c_139598,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1166,c_1172,c_139312,c_604,c_836,c_139312,c_139344]) ).

tff(c_139599,plain,
    ( ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_139248]) ).

tff(c_139601,plain,
    n16 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_139599]) ).

tff(c_139663,plain,
    pred('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_139601,c_1318]) ).

tff(c_139665,plain,
    succ('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_139601,c_1360]) ).

tff(c_139694,plain,
    sum(sum(n11,n17),sum(pred('#skF_2'),n13)) != sum(n3,sum(pred('#skF_2'),n17)),
    inference(demodulation,[status(thm),theory(equality)],[c_139665,c_139665,c_137845]) ).

tff(c_139695,plain,
    sum(n7,sum(pred('#skF_2'),n13)) != sum(n3,sum(pred('#skF_2'),n17)),
    inference(demodulation,[status(thm),theory(equality)],[c_812,c_139694]) ).

tff(c_139949,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1160,c_644,c_139663,c_1000,c_652,c_139663,c_139695]) ).

tff(c_139950,plain,
    ( ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_139599]) ).

tff(c_139952,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_139950]) ).

tff(c_140014,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_139952,c_1382]) ).

tff(c_140016,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_139952,c_1340]) ).

tff(c_140045,plain,
    sum(sum(n11,succ('#skF_2')),sum(n4,n13)) != sum(n3,sum(n4,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_140016,c_140016,c_137845]) ).

tff(c_140046,plain,
    sum(sum(n11,succ('#skF_2')),n17) != sum(n3,sum(n4,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1114,c_140045]) ).

tff(c_140300,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1162,c_1128,c_140014,c_560,c_834,c_140014,c_140046]) ).

tff(c_140301,plain,
    ( ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_139950]) ).

tff(c_140303,plain,
    n15 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_140301]) ).

tff(c_140365,plain,
    pred('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_140303,c_1320]) ).

tff(c_137526,plain,
    sum(n6,n6) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_137499,c_1044]) ).

tff(c_140368,plain,
    succ('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_140303,c_1362]) ).

tff(c_140392,plain,
    sum(sum(n11,n16),sum(pred('#skF_2'),n13)) != sum(n3,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_140368,c_140368,c_137845]) ).

tff(c_140393,plain,
    sum(n6,sum(pred('#skF_2'),n13)) != sum(n3,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_814,c_140392]) ).

tff(c_140651,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_137535,c_688,c_140365,c_137526,c_694,c_140365,c_140393]) ).

tff(c_140652,plain,
    ( ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_140301]) ).

tff(c_140654,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_140652]) ).

tff(c_140717,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_140654,c_1338]) ).

tff(c_137510,plain,
    sum(n3,'#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_137499,c_1158]) ).

tff(c_137503,plain,
    sum(n5,n7) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_137499,c_1084]) ).

tff(c_140719,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_140654,c_1380]) ).

tff(c_140743,plain,
    sum(sum(n11,n7),sum(pred('#skF_2'),n13)) != sum(n3,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_140719,c_140719,c_137845]) ).

tff(c_140744,plain,
    sum(n3,sum(pred('#skF_2'),n7)) != sum(n18,sum(pred('#skF_2'),n13)),
    inference(demodulation,[status(thm),theory(equality)],[c_832,c_140743]) ).

tff(c_141002,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_1072,c_140717,c_137510,c_137503,c_140717,c_140744]) ).

tff(c_141003,plain,
    ( ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_140652]) ).

tff(c_141005,plain,
    n14 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_141003]) ).

tff(c_141068,plain,
    pred('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_141005,c_1322]) ).

tff(c_141070,plain,
    succ('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_141005,c_1364]) ).

tff(c_141094,plain,
    sum(sum(n11,n15),sum(pred('#skF_2'),n13)) != sum(n3,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_141070,c_141070,c_137845]) ).

tff(c_141095,plain,
    sum(n5,sum(pred('#skF_2'),n13)) != sum(n3,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_816,c_141094]) ).

tff(c_141353,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1168,c_732,c_141068,c_1088,c_736,c_141068,c_141095]) ).

tff(c_141354,plain,
    ( ( n13 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_141003]) ).

tff(c_141356,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_141354]) ).

tff(c_141418,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_141356,c_1336]) ).

tff(c_141421,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_141356,c_1378]) ).

tff(c_141445,plain,
    sum(sum(n11,n8),sum(pred('#skF_2'),n13)) != sum(n3,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_141421,c_141421,c_137845]) ).

tff(c_141446,plain,
    sum(n3,sum(pred('#skF_2'),n8)) != sum(n19,sum(pred('#skF_2'),n13)),
    inference(demodulation,[status(thm),theory(equality)],[c_830,c_141445]) ).

tff(c_141704,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_472,c_1030,c_141418,c_1154,c_1040,c_141418,c_141446]) ).

tff(c_141705,plain,
    ( ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n13 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_141354]) ).

tff(c_141707,plain,
    n13 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_141705]) ).

tff(c_137536,plain,
    sum('#skF_1',n13) = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_137499,c_778]) ).

tff(c_141709,plain,
    sum('#skF_1','#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_141707,c_137536]) ).

tff(c_137500,plain,
    sum('#skF_1',n14) = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_137499,c_776]) ).

tff(c_137562,plain,
    pred(n13) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_137499,c_1324]) ).

tff(c_141715,plain,
    pred('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_141707,c_137562]) ).

tff(c_141772,plain,
    succ('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_141707,c_1366]) ).

tff(c_141708,plain,
    sum(sum(n11,succ('#skF_2')),sum(pred('#skF_2'),'#skF_2')) != sum(n3,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_141707,c_137845]) ).

tff(c_142054,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1132,c_141709,c_1172,c_137500,c_141715,c_141715,c_141772,c_818,c_141772,c_141708]) ).

tff(c_142055,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_141705]) ).

tff(c_142057,plain,
    n8 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_142055]) ).

tff(c_142119,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_142057,c_1376]) ).

tff(c_142120,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_142057,c_1334]) ).

tff(c_142150,plain,
    sum(sum(n11,succ('#skF_2')),sum(n7,n13)) != sum(n3,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_142120,c_142120,c_137845]) ).

tff(c_142151,plain,
    sum(sum(n11,succ('#skF_2')),n20) != sum(n3,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_988,c_142150]) ).

tff(c_142405,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1150,c_996,c_142119,c_428,c_828,c_142119,c_142151]) ).

tff(c_142406,plain,
    ( ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_142055]) ).

tff(c_142408,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_142406]) ).

tff(c_142422,plain,
    sum(sum(n11,succ('#skF_1')),sum(pred('#skF_1'),n13)) != sum(n3,sum(pred('#skF_1'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_142408,c_142408,c_142408,c_142408,c_137845]) ).

tff(c_142429,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_820,c_137563,c_137563,c_137561,c_137561,c_142422]) ).

tff(c_142430,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_142406]) ).

tff(c_142432,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_142430]) ).

tff(c_142496,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_142432,c_1332]) ).

tff(c_142494,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_142432,c_1374]) ).

tff(c_142521,plain,
    sum(sum(n11,n10),sum(pred('#skF_2'),n13)) != sum(n3,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_142494,c_142494,c_137845]) ).

tff(c_142522,plain,
    sum(n3,sum(pred('#skF_2'),n10)) != sum(n0,sum(pred('#skF_2'),n13)),
    inference(demodulation,[status(thm),theory(equality)],[c_826,c_142521]) ).

tff(c_142780,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1308,c_946,c_142496,c_1146,c_952,c_142496,c_142522]) ).

tff(c_142781,plain,
    ( ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_142430]) ).

tff(c_142783,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_142781]) ).

tff(c_137529,plain,
    sum(n11,'#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_137499,c_822]) ).

tff(c_142788,plain,
    sum('#skF_2','#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_142783,c_137529]) ).

tff(c_137525,plain,
    sum(n10,'#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_137499,c_864]) ).

tff(c_137560,plain,
    succ(n11) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_137499,c_1370]) ).

tff(c_142792,plain,
    succ('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_142783,c_137560]) ).

tff(c_142849,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_142783,c_1328]) ).

tff(c_142784,plain,
    sum(sum('#skF_2',succ('#skF_2')),sum(pred('#skF_2'),n13)) != sum(n3,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_142783,c_137845]) ).

tff(c_143130,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1220,c_142788,c_1180,c_137525,c_142792,c_142792,c_142849,c_862,c_142849,c_142784]) ).

tff(c_143131,plain,
    n10 = '#skF_2',
    inference(splitRight,[status(thm)],[c_142781]) ).

tff(c_143194,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_143131,c_1372]) ).

tff(c_143197,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_143131,c_1330]) ).

tff(c_143225,plain,
    sum(sum(n11,succ('#skF_2')),sum(n9,n13)) != sum(n3,sum(n9,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_143197,c_143197,c_137845]) ).

tff(c_143226,plain,
    sum(sum(n11,succ('#skF_2')),n1) != sum(n3,sum(n9,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_904,c_143225]) ).

tff(c_143480,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1142,c_908,c_143194,c_1264,c_824,c_143194,c_143226]) ).

tff(c_143481,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_135768]) ).

tff(c_143483,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_143481]) ).

tff(c_143544,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_143483,c_1374]) ).

tff(c_143546,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_143483,c_1332]) ).

tff(c_143520,plain,
    sum(n15,n15) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_143483,c_648]) ).

tff(c_143526,plain,
    sum(n18,'#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_143483,c_534]) ).

tff(c_143516,plain,
    sum(n14,n16) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_143483,c_688]) ).

tff(c_143830,plain,
    ( ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n3 = '#skF_2' )
    | ( n2 = '#skF_2' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_143483,c_137497]) ).

tff(c_143831,plain,
    n2 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_143830]) ).

tff(c_143894,plain,
    pred('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_143831,c_1346]) ).

tff(c_143895,plain,
    succ('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_143831,c_1388]) ).

tff(c_143572,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),n10)) != sum(sum(pred('#skF_1'),n10),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_143544,c_143544,c_422]) ).

tff(c_143829,plain,
    sum(sum(n8,succ('#skF_2')),sum(pred('#skF_2'),n10)) != sum(n18,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_952,c_143546,c_143546,c_143572]) ).

tff(c_143924,plain,
    sum(sum(n8,n3),sum(pred('#skF_2'),n10)) != sum(n18,sum(pred('#skF_2'),n3)),
    inference(demodulation,[status(thm),theory(equality)],[c_143895,c_143895,c_143829]) ).

tff(c_143925,plain,
    sum(n18,sum(pred('#skF_2'),n3)) != sum(n11,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_966,c_143924]) ).

tff(c_144179,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_824,c_1246,c_143894,c_544,c_1260,c_143894,c_143925]) ).

tff(c_144180,plain,
    ( ( n3 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_143830]) ).

tff(c_144182,plain,
    n18 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_144180]) ).

tff(c_144198,plain,
    sum('#skF_2',n15) = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_144182,c_522]) ).

tff(c_144245,plain,
    succ('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_144182,c_1356]) ).

tff(c_144248,plain,
    pred('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_144182,c_1314]) ).

tff(c_144183,plain,
    sum(sum(n8,succ('#skF_2')),sum(pred('#skF_2'),n10)) != sum('#skF_2',sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_144182,c_143829]) ).

tff(c_144529,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_144198,c_556,c_144245,c_1044,c_934,c_144245,c_144248,c_574,c_144248,c_144183]) ).

tff(c_144530,plain,
    ( ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n3 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_144180]) ).

tff(c_144532,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_144530]) ).

tff(c_144583,plain,
    sum(n18,n6) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_144532,c_540]) ).

tff(c_144571,plain,
    sum(n12,n12) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_144532,c_780]) ).

tff(c_144594,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_144532,c_1344]) ).

tff(c_144597,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_144532,c_1386]) ).

tff(c_144621,plain,
    sum(sum(n8,n4),sum(pred('#skF_2'),n10)) != sum(n18,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_144597,c_144597,c_143829]) ).

tff(c_144622,plain,
    sum(n18,sum(pred('#skF_2'),n4)) != sum(n12,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_964,c_144621]) ).

tff(c_144880,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_144583,c_144571,c_1204,c_144594,c_1216,c_144594,c_144622]) ).

tff(c_144881,plain,
    ( ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_144530]) ).

tff(c_144883,plain,
    n17 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_144881]) ).

tff(c_144945,plain,
    succ('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_144883,c_1358]) ).

tff(c_144946,plain,
    pred('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_144883,c_1316]) ).

tff(c_144976,plain,
    sum(sum(n8,succ('#skF_2')),sum(n16,n10)) != sum(n18,sum(n16,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_144946,c_144946,c_143829]) ).

tff(c_144977,plain,
    sum(sum(n8,succ('#skF_2')),n5) != sum(n18,sum(n16,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_616,c_144976]) ).

tff(c_145231,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_600,c_144945,c_1088,c_936,c_144945,c_144977]) ).

tff(c_145232,plain,
    ( ( n16 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_144881]) ).

tff(c_145234,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_145232]) ).

tff(c_145298,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_145234,c_1342]) ).

tff(c_145296,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_145234,c_1384]) ).

tff(c_145331,plain,
    sum(sum(n8,n5),sum(pred('#skF_2'),n10)) != sum(n18,sum(pred('#skF_2'),n5)),
    inference(demodulation,[status(thm),theory(equality)],[c_145296,c_145296,c_143829]) ).

tff(c_145332,plain,
    sum(n18,sum(pred('#skF_2'),n5)) != sum(n13,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_962,c_145331]) ).

tff(c_145582,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_736,c_1162,c_145298,c_536,c_1172,c_145298,c_145332]) ).

tff(c_145583,plain,
    ( ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_145232]) ).

tff(c_145585,plain,
    n16 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_145583]) ).

tff(c_145649,plain,
    succ('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_145585,c_1360]) ).

tff(c_145647,plain,
    pred('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_145585,c_1318]) ).

tff(c_145682,plain,
    sum(sum(n8,succ('#skF_2')),sum(n15,n10)) != sum(n18,sum(n15,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_145647,c_145647,c_143829]) ).

tff(c_145683,plain,
    sum(sum(n8,succ('#skF_2')),n4) != sum(n18,sum(n15,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_658,c_145682]) ).

tff(c_145933,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_644,c_145649,c_1132,c_938,c_145649,c_145683]) ).

tff(c_145934,plain,
    ( ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_145583]) ).

tff(c_145936,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_145934]) ).

tff(c_145998,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_145936,c_1382]) ).

tff(c_146000,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_145936,c_1340]) ).

tff(c_146029,plain,
    sum(sum(n8,succ('#skF_2')),sum(n4,n10)) != sum(n18,sum(n4,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_146000,c_146000,c_143829]) ).

tff(c_146030,plain,
    sum(sum(n8,succ('#skF_2')),n14) != sum(n18,sum(n4,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1120,c_146029]) ).

tff(c_146284,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_532,c_1128,c_145998,c_692,c_960,c_145998,c_146030]) ).

tff(c_146285,plain,
    ( ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_145934]) ).

tff(c_146287,plain,
    n15 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_146285]) ).

tff(c_146349,plain,
    pred('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_146287,c_1320]) ).

tff(c_146352,plain,
    succ('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_146287,c_1362]) ).

tff(c_146376,plain,
    sum(sum(n8,n16),sum(pred('#skF_2'),n10)) != sum(n18,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_146352,c_146352,c_143829]) ).

tff(c_146377,plain,
    sum(n3,sum(pred('#skF_2'),n10)) != sum(n18,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_940,c_146376]) ).

tff(c_146635,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_143526,c_143516,c_146349,c_1176,c_700,c_146349,c_146377]) ).

tff(c_146636,plain,
    ( ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_146285]) ).

tff(c_146638,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_146636]) ).

tff(c_146701,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_146638,c_1338]) ).

tff(c_143497,plain,
    sum(n18,n12) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_143483,c_528]) ).

tff(c_146703,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_146638,c_1380]) ).

tff(c_146727,plain,
    sum(sum(n8,n7),sum(pred('#skF_2'),n10)) != sum(n18,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_146703,c_146703,c_143829]) ).

tff(c_146728,plain,
    sum(n18,sum(pred('#skF_2'),n7)) != sum(n15,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_958,c_146727]) ).

tff(c_146986,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_143520,c_1078,c_146701,c_143497,c_1084,c_146701,c_146728]) ).

tff(c_146987,plain,
    ( ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_146636]) ).

tff(c_146989,plain,
    n14 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_146987]) ).

tff(c_147052,plain,
    pred('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_146989,c_1322]) ).

tff(c_147054,plain,
    succ('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_146989,c_1364]) ).

tff(c_147078,plain,
    sum(sum(n8,n15),sum(pred('#skF_2'),n10)) != sum(n18,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_147054,c_147054,c_143829]) ).

tff(c_147079,plain,
    sum(n2,sum(pred('#skF_2'),n10)) != sum(n18,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_942,c_147078]) ).

tff(c_147337,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_538,c_732,c_147052,c_1220,c_742,c_147052,c_147079]) ).

tff(c_147338,plain,
    ( ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_146987]) ).

tff(c_147340,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_147338]) ).

tff(c_147402,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_147340,c_1336]) ).

tff(c_147405,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_147340,c_1378]) ).

tff(c_147429,plain,
    sum(sum(n8,n8),sum(pred('#skF_2'),n10)) != sum(n18,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_147405,c_147405,c_143829]) ).

tff(c_147430,plain,
    sum(n18,sum(pred('#skF_2'),n8)) != sum(n16,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_956,c_147429]) ).

tff(c_147688,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_604,c_1036,c_147402,c_524,c_1040,c_147402,c_147430]) ).

tff(c_147689,plain,
    ( ( n8 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_147338]) ).

tff(c_147691,plain,
    n13 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_147689]) ).

tff(c_147754,plain,
    succ('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_147691,c_1366]) ).

tff(c_147756,plain,
    pred('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_147691,c_1324]) ).

tff(c_147780,plain,
    sum(sum(n8,succ('#skF_2')),sum(n12,n10)) != sum(n18,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_147756,c_147756,c_143829]) ).

tff(c_147781,plain,
    sum(sum(n8,succ('#skF_2')),n1) != sum(n18,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_784,c_147780]) ).

tff(c_148039,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_542,c_776,c_147754,c_1264,c_944,c_147754,c_147781]) ).

tff(c_148040,plain,
    ( ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_147689]) ).

tff(c_148042,plain,
    n8 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_148040]) ).

tff(c_143529,plain,
    sum(n8,'#skF_1') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_143483,c_954]) ).

tff(c_148047,plain,
    sum('#skF_2','#skF_1') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_148042,c_143529]) ).

tff(c_143505,plain,
    sum(n7,'#skF_1') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_143483,c_996]) ).

tff(c_143545,plain,
    succ(n8) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_143483,c_1376]) ).

tff(c_148050,plain,
    succ('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_148042,c_143545]) ).

tff(c_148107,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_148042,c_1334]) ).

tff(c_148043,plain,
    sum(sum('#skF_2',succ('#skF_2')),sum(pred('#skF_2'),n10)) != sum(n18,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_148042,c_143829]) ).

tff(c_148389,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_560,c_148047,c_520,c_143505,c_148050,c_148050,c_148107,c_994,c_148107,c_148043]) ).

tff(c_148390,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_148040]) ).

tff(c_148392,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_148390]) ).

tff(c_148457,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_148392,c_1326]) ).

tff(c_148455,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_148392,c_1368]) ).

tff(c_148485,plain,
    sum(sum(n8,n13),sum(pred('#skF_2'),n10)) != sum(n18,sum(pred('#skF_2'),n13)),
    inference(demodulation,[status(thm),theory(equality)],[c_148455,c_148455,c_143829]) ).

tff(c_148486,plain,
    sum(n18,sum(pred('#skF_2'),n13)) != sum(n0,sum(pred('#skF_2'),n10)),
    inference(demodulation,[status(thm),theory(equality)],[c_946,c_148485]) ).

tff(c_148740,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1308,c_826,c_148457,c_546,c_820,c_148457,c_148486]) ).

tff(c_148741,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_148390]) ).

tff(c_148743,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_148741]) ).

tff(c_148758,plain,
    sum(sum(n8,succ('#skF_1')),sum(pred('#skF_1'),n10)) != sum(n18,sum(pred('#skF_1'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_148743,c_148743,c_148743,c_148743,c_143829]) ).

tff(c_148765,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_952,c_143544,c_143544,c_143546,c_143546,c_148758]) ).

tff(c_148766,plain,
    ( ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_148741]) ).

tff(c_148768,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_148766]) ).

tff(c_148833,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_148768,c_1328]) ).

tff(c_148830,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_148768,c_1370]) ).

tff(c_148857,plain,
    sum(sum(n8,n12),sum(pred('#skF_2'),n10)) != sum(n18,sum(pred('#skF_2'),n12)),
    inference(demodulation,[status(thm),theory(equality)],[c_148830,c_148830,c_143829]) ).

tff(c_148858,plain,
    sum(n20,sum(pred('#skF_2'),n10)) != sum(n18,sum(pred('#skF_2'),n12)),
    inference(demodulation,[status(thm),theory(equality)],[c_948,c_148857]) ).

tff(c_149116,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_550,c_864,c_148833,c_428,c_868,c_148833,c_148858]) ).

tff(c_149117,plain,
    n10 = '#skF_2',
    inference(splitRight,[status(thm)],[c_148766]) ).

tff(c_143494,plain,
    sum('#skF_1',n10) = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_143483,c_910]) ).

tff(c_149125,plain,
    sum('#skF_1','#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_149117,c_143494]) ).

tff(c_143539,plain,
    sum('#skF_1',n11) = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_143483,c_908]) ).

tff(c_149183,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_149117,c_1372]) ).

tff(c_143547,plain,
    pred(n10) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_143483,c_1330]) ).

tff(c_149126,plain,
    pred('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_149117,c_143547]) ).

tff(c_149119,plain,
    sum(sum(n8,succ('#skF_2')),sum(pred('#skF_2'),'#skF_2')) != sum(n18,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_149117,c_143829]) ).

tff(c_149465,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_472,c_149125,c_512,c_143539,c_149183,c_950,c_149183,c_149126,c_149126,c_149119]) ).

tff(c_149466,plain,
    ( ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_143481]) ).

tff(c_149468,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_149466]) ).

tff(c_150199,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_149468,c_1370]) ).

tff(c_150202,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_149468,c_1328]) ).

tff(c_150196,plain,
    sum(n1,n10) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_149468,c_1246]) ).

tff(c_150141,plain,
    sum(n1,'#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_149468,c_1244]) ).

tff(c_150178,plain,
    sum(n15,n17) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_149468,c_644]) ).

tff(c_149530,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_149468,c_1370]) ).

tff(c_149469,plain,
    n2 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_137497]) ).

tff(c_149615,plain,
    succ('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_149469,c_1388]) ).

tff(c_149614,plain,
    pred('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_149469,c_1346]) ).

tff(c_149533,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_149468,c_1328]) ).

tff(c_149652,plain,
    sum(sum(n10,succ('#skF_2')),sum(pred('#skF_2'),succ('#skF_1'))) != sum(sum(n10,succ('#skF_1')),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_149533,c_149533,c_422]) ).

tff(c_150136,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_736,c_1242,c_149530,c_1258,c_864,c_149530,c_1260,c_149615,c_882,c_149615,c_149614,c_149614,c_149652]) ).

tff(c_150137,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' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_137497]) ).

tff(c_150485,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' )
    | ( '#skF_2' = '#skF_1' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_149468,c_150137]) ).

tff(c_150486,plain,
    n18 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_150485]) ).

tff(c_150548,plain,
    succ('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_150486,c_1356]) ).

tff(c_150551,plain,
    pred('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_150486,c_1314]) ).

tff(c_150235,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),n12)) != sum(sum(pred('#skF_1'),n12),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_150199,c_150199,c_422]) ).

tff(c_150484,plain,
    sum(sum(n10,succ('#skF_2')),sum(pred('#skF_2'),n12)) != sum(n1,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_864,c_150202,c_150202,c_150235]) ).

tff(c_150575,plain,
    sum(sum(n10,succ('#skF_2')),sum(n17,n12)) != sum(n1,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_150551,c_150551,c_150484]) ).

tff(c_150576,plain,
    sum(sum(n10,succ('#skF_2')),n8) != sum(n1,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_570,c_150575]) ).

tff(c_150834,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1236,c_556,c_150548,c_956,c_850,c_150548,c_150576]) ).

tff(c_150835,plain,
    ( ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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_150485]) ).

tff(c_150837,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_150835]) ).

tff(c_150899,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_150837,c_1344]) ).

tff(c_150902,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_150837,c_1386]) ).

tff(c_150926,plain,
    sum(sum(n10,n4),sum(pred('#skF_2'),n12)) != sum(n1,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_150902,c_150902,c_150484]) ).

tff(c_150927,plain,
    sum(n14,sum(pred('#skF_2'),n12)) != sum(n1,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_880,c_150926]) ).

tff(c_151185,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1254,c_1216,c_150899,c_692,c_1200,c_150899,c_150927]) ).

tff(c_151186,plain,
    ( ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_150835]) ).

tff(c_151188,plain,
    n17 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_151186]) ).

tff(c_151250,plain,
    succ('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_151188,c_1358]) ).

tff(c_151251,plain,
    pred('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_151188,c_1316]) ).

tff(c_151281,plain,
    sum(sum(n10,succ('#skF_2')),sum(n16,n12)) != sum(n1,sum(n16,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_151251,c_151251,c_150484]) ).

tff(c_151282,plain,
    sum(sum(n10,succ('#skF_2')),n7) != sum(n1,sum(n16,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_612,c_151281]) ).

tff(c_151536,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1240,c_600,c_151250,c_1000,c_852,c_151250,c_151282]) ).

tff(c_151537,plain,
    ( ( n16 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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_151186]) ).

tff(c_151539,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_151537]) ).

tff(c_151603,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_151539,c_1342]) ).

tff(c_151601,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_151539,c_1384]) ).

tff(c_151636,plain,
    sum(sum(n10,n5),sum(pred('#skF_2'),n12)) != sum(n1,sum(pred('#skF_2'),n5)),
    inference(demodulation,[status(thm),theory(equality)],[c_151601,c_151601,c_150484]) ).

tff(c_151637,plain,
    sum(n15,sum(pred('#skF_2'),n12)) != sum(n1,sum(pred('#skF_2'),n5)),
    inference(demodulation,[status(thm),theory(equality)],[c_878,c_151636]) ).

tff(c_151887,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1250,c_1172,c_151603,c_648,c_1158,c_151603,c_151637]) ).

tff(c_151888,plain,
    ( ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_151537]) ).

tff(c_151890,plain,
    n16 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_151888]) ).

tff(c_151954,plain,
    succ('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_151890,c_1360]) ).

tff(c_151952,plain,
    pred('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_151890,c_1318]) ).

tff(c_151987,plain,
    sum(sum(n10,succ('#skF_2')),sum(n15,n12)) != sum(n1,sum(n15,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_151952,c_151952,c_150484]) ).

tff(c_151988,plain,
    sum(sum(n10,succ('#skF_2')),n6) != sum(n1,sum(n15,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_654,c_151987]) ).

tff(c_152238,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_150141,c_150178,c_151954,c_1044,c_854,c_151954,c_151988]) ).

tff(c_152239,plain,
    ( ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_151888]) ).

tff(c_152241,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_152239]) ).

tff(c_152303,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_152241,c_1382]) ).

tff(c_150181,plain,
    sum(n16,n16) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_149468,c_604]) ).

tff(c_152305,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_152241,c_1340]) ).

tff(c_152334,plain,
    sum(sum(n10,succ('#skF_2')),sum(n4,n12)) != sum(n1,sum(n4,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_152305,c_152305,c_150484]) ).

tff(c_152335,plain,
    sum(sum(n10,succ('#skF_2')),n16) != sum(n1,sum(n4,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1116,c_152334]) ).

tff(c_152589,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_150196,c_1128,c_152303,c_150181,c_876,c_152303,c_152335]) ).

tff(c_152590,plain,
    ( ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_152239]) ).

tff(c_152592,plain,
    n15 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_152590]) ).

tff(c_152654,plain,
    pred('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_152592,c_1320]) ).

tff(c_152657,plain,
    succ('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_152592,c_1362]) ).

tff(c_152681,plain,
    sum(sum(n10,n16),sum(pred('#skF_2'),n12)) != sum(n1,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_152657,c_152657,c_150484]) ).

tff(c_152682,plain,
    sum(n5,sum(pred('#skF_2'),n12)) != sum(n1,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_856,c_152681]) ).

tff(c_152940,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1248,c_688,c_152654,c_1088,c_696,c_152654,c_152682]) ).

tff(c_152941,plain,
    ( ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_152590]) ).

tff(c_152943,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_152941]) ).

tff(c_153006,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_152943,c_1338]) ).

tff(c_153008,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_152943,c_1380]) ).

tff(c_153032,plain,
    sum(sum(n10,n7),sum(pred('#skF_2'),n12)) != sum(n1,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_153008,c_153008,c_150484]) ).

tff(c_153033,plain,
    sum(n17,sum(pred('#skF_2'),n12)) != sum(n1,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_874,c_153032]) ).

tff(c_153291,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1242,c_1084,c_153006,c_560,c_1074,c_153006,c_153033]) ).

tff(c_153292,plain,
    ( ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_152941]) ).

tff(c_153294,plain,
    n14 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_153292]) ).

tff(c_153357,plain,
    pred('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_153294,c_1322]) ).

tff(c_153359,plain,
    succ('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_153294,c_1364]) ).

tff(c_153383,plain,
    sum(sum(n10,n15),sum(pred('#skF_2'),n12)) != sum(n1,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_153359,c_153359,c_150484]) ).

tff(c_153384,plain,
    sum(n4,sum(pred('#skF_2'),n12)) != sum(n1,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_858,c_153383]) ).

tff(c_153642,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1252,c_732,c_153357,c_1132,c_738,c_153357,c_153384]) ).

tff(c_153643,plain,
    ( ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_153292]) ).

tff(c_153645,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_153643]) ).

tff(c_153707,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_153645,c_1336]) ).

tff(c_153710,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_153645,c_1378]) ).

tff(c_153734,plain,
    sum(sum(n10,n8),sum(pred('#skF_2'),n12)) != sum(n1,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_153710,c_153710,c_150484]) ).

tff(c_153735,plain,
    sum(n18,sum(pred('#skF_2'),n12)) != sum(n1,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_872,c_153734]) ).

tff(c_153993,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1238,c_1040,c_153707,c_516,c_1032,c_153707,c_153735]) ).

tff(c_153994,plain,
    ( ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_153643]) ).

tff(c_153996,plain,
    n13 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_153994]) ).

tff(c_154059,plain,
    succ('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_153996,c_1366]) ).

tff(c_154061,plain,
    pred('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_153996,c_1324]) ).

tff(c_154085,plain,
    sum(sum(n10,succ('#skF_2')),sum(n12,n12)) != sum(n1,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_154061,c_154061,c_150484]) ).

tff(c_154086,plain,
    sum(sum(n10,succ('#skF_2')),n3) != sum(n1,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_780,c_154085]) ).

tff(c_154344,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1256,c_776,c_154059,c_1176,c_860,c_154059,c_154086]) ).

tff(c_154345,plain,
    ( ( n12 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_153994]) ).

tff(c_154347,plain,
    n8 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_154345]) ).

tff(c_154409,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_154347,c_1376]) ).

tff(c_154410,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_154347,c_1334]) ).

tff(c_154444,plain,
    sum(sum(n10,succ('#skF_2')),sum(n7,n12)) != sum(n1,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_154410,c_154410,c_150484]) ).

tff(c_154445,plain,
    sum(sum(n10,succ('#skF_2')),n19) != sum(n1,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_990,c_154444]) ).

tff(c_154695,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1234,c_996,c_154409,c_472,c_870,c_154409,c_154445]) ).

tff(c_154696,plain,
    ( ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n12 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_154345]) ).

tff(c_154698,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_154696]) ).

tff(c_150169,plain,
    sum('#skF_1',n12) = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_149468,c_822]) ).

tff(c_154700,plain,
    sum('#skF_1','#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_154698,c_150169]) ).

tff(c_150185,plain,
    sum('#skF_1',n13) = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_149468,c_820]) ).

tff(c_150201,plain,
    pred(n12) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_149468,c_1326]) ).

tff(c_154707,plain,
    pred('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_154698,c_150201]) ).

tff(c_154763,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_154698,c_1368]) ).

tff(c_154699,plain,
    sum(sum(n10,succ('#skF_2')),sum(pred('#skF_2'),'#skF_2')) != sum(n1,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_154698,c_150484]) ).

tff(c_155045,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1220,c_154700,c_1260,c_150185,c_154707,c_154707,c_154763,c_862,c_154763,c_154699]) ).

tff(c_155046,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_154696]) ).

tff(c_155048,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_155046]) ).

tff(c_155110,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_155048,c_1374]) ).

tff(c_155112,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_155048,c_1332]) ).

tff(c_155137,plain,
    sum(sum(n10,succ('#skF_2')),sum(n8,n12)) != sum(n1,sum(n8,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_155112,c_155112,c_150484]) ).

tff(c_155138,plain,
    sum(sum(n10,succ('#skF_2')),n20) != sum(n1,sum(n8,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_948,c_155137]) ).

tff(c_155396,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1230,c_952,c_155110,c_428,c_868,c_155110,c_155138]) ).

tff(c_155397,plain,
    ( ( n10 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_155046]) ).

tff(c_155399,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_155397]) ).

tff(c_155414,plain,
    sum(sum(n10,succ('#skF_1')),sum(pred('#skF_1'),n12)) != sum(n1,sum(pred('#skF_1'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_155399,c_155399,c_155399,c_155399,c_150484]) ).

tff(c_155422,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_864,c_150199,c_150199,c_150202,c_150202,c_155414]) ).

tff(c_155423,plain,
    n10 = '#skF_2',
    inference(splitRight,[status(thm)],[c_155397]) ).

tff(c_150146,plain,
    sum(n10,'#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_149468,c_866]) ).

tff(c_155429,plain,
    sum('#skF_2','#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_155423,c_150146]) ).

tff(c_150195,plain,
    sum(n9,'#skF_1') = n20,
    inference(demodulation,[status(thm),theory(equality)],[c_149468,c_908]) ).

tff(c_150200,plain,
    succ(n10) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_149468,c_1372]) ).

tff(c_155433,plain,
    succ('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_155423,c_150200]) ).

tff(c_155490,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_155423,c_1330]) ).

tff(c_155425,plain,
    sum(sum('#skF_2',succ('#skF_2')),sum(pred('#skF_2'),n12)) != sum(n1,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_155423,c_150484]) ).

tff(c_155771,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1308,c_155429,c_1226,c_150195,c_155433,c_155433,c_155490,c_906,c_155490,c_155425]) ).

tff(c_155772,plain,
    n10 = '#skF_1',
    inference(splitRight,[status(thm)],[c_149466]) ).

tff(c_155834,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_155772,c_1372]) ).

tff(c_155837,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_155772,c_1330]) ).

tff(c_155791,plain,
    sum(n20,'#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_155772,c_448]) ).

tff(c_155775,plain,
    sum(n4,n6) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_155772,c_1128]) ).

tff(c_155811,plain,
    sum(n20,n11) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_155772,c_446]) ).

tff(c_156120,plain,
    ( ( n18 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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(demodulation,[status(thm),theory(equality)],[c_155772,c_137497]) ).

tff(c_156121,plain,
    n2 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_156120]) ).

tff(c_156185,plain,
    succ('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_156121,c_1388]) ).

tff(c_156184,plain,
    pred('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_156121,c_1346]) ).

tff(c_155870,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),n11)) != sum(sum(pred('#skF_1'),n11),sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_155834,c_155834,c_422]) ).

tff(c_156119,plain,
    sum(sum(n9,succ('#skF_2')),sum(pred('#skF_2'),n11)) != sum(n20,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_908,c_155837,c_155837,c_155870]) ).

tff(c_156214,plain,
    sum(sum(n9,succ('#skF_2')),sum(n1,n11)) != sum(n20,sum(n1,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_156184,c_156184,c_156119]) ).

tff(c_156215,plain,
    sum(sum(n9,succ('#skF_2')),n12) != sum(n20,sum(n1,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1244,c_156214]) ).

tff(c_156469,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_460,c_1260,c_156185,c_780,c_924,c_156185,c_156215]) ).

tff(c_156470,plain,
    ( ( n3 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' )
    | ( n18 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_156120]) ).

tff(c_156472,plain,
    n18 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_156470]) ).

tff(c_156534,plain,
    succ('#skF_2') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_156472,c_1356]) ).

tff(c_156537,plain,
    pred('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_156472,c_1314]) ).

tff(c_156561,plain,
    sum(sum(n9,succ('#skF_2')),sum(n17,n11)) != sum(n20,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_156537,c_156537,c_156119]) ).

tff(c_156562,plain,
    sum(sum(n9,succ('#skF_2')),n7) != sum(n20,sum(n17,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_572,c_156561]) ).

tff(c_156820,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_438,c_556,c_156534,c_1000,c_892,c_156534,c_156562]) ).

tff(c_156821,plain,
    ( ( n17 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( 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_156470]) ).

tff(c_156823,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_156821]) ).

tff(c_156885,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_156823,c_1344]) ).

tff(c_156888,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_156823,c_1386]) ).

tff(c_156912,plain,
    sum(sum(n9,n4),sum(pred('#skF_2'),n11)) != sum(n20,sum(pred('#skF_2'),n4)),
    inference(demodulation,[status(thm),theory(equality)],[c_156888,c_156888,c_156119]) ).

tff(c_156913,plain,
    sum(n20,sum(pred('#skF_2'),n4)) != sum(n13,sum(pred('#skF_2'),n11)),
    inference(demodulation,[status(thm),theory(equality)],[c_922,c_156912]) ).

tff(c_157171,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_736,c_1202,c_156885,c_456,c_1216,c_156885,c_156913]) ).

tff(c_157172,plain,
    ( ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' )
    | ( n17 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_156821]) ).

tff(c_157174,plain,
    n17 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_157172]) ).

tff(c_157237,plain,
    pred('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_157174,c_1316]) ).

tff(c_157236,plain,
    succ('#skF_2') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_157174,c_1358]) ).

tff(c_157271,plain,
    sum(sum(n9,n18),sum(pred('#skF_2'),n11)) != sum(n20,sum(pred('#skF_2'),n18)),
    inference(demodulation,[status(thm),theory(equality)],[c_157236,c_157236,c_156119]) ).

tff(c_157272,plain,
    sum(n6,sum(pred('#skF_2'),n11)) != sum(n20,sum(pred('#skF_2'),n18)),
    inference(demodulation,[status(thm),theory(equality)],[c_894,c_157271]) ).

tff(c_157522,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_442,c_600,c_157237,c_1044,c_614,c_157237,c_157272]) ).

tff(c_157523,plain,
    ( ( n16 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_157172]) ).

tff(c_157525,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_157523]) ).

tff(c_157587,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_157525,c_1384]) ).

tff(c_157589,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_157525,c_1342]) ).

tff(c_157618,plain,
    sum(sum(n9,succ('#skF_2')),sum(n3,n11)) != sum(n20,sum(n3,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_157589,c_157589,c_156119]) ).

tff(c_157619,plain,
    sum(sum(n9,succ('#skF_2')),n14) != sum(n20,sum(n3,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1160,c_157618]) ).

tff(c_157873,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_452,c_1172,c_157587,c_692,c_920,c_157587,c_157619]) ).

tff(c_157874,plain,
    ( ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' )
    | ( n16 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_157523]) ).

tff(c_157876,plain,
    n16 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_157874]) ).

tff(c_157938,plain,
    pred('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_157876,c_1318]) ).

tff(c_155810,plain,
    sum(n5,n5) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_155772,c_1088]) ).

tff(c_157940,plain,
    succ('#skF_2') = n17,
    inference(demodulation,[status(thm),theory(equality)],[c_157876,c_1360]) ).

tff(c_157969,plain,
    sum(sum(n9,n17),sum(pred('#skF_2'),n11)) != sum(n20,sum(pred('#skF_2'),n17)),
    inference(demodulation,[status(thm),theory(equality)],[c_157940,c_157940,c_156119]) ).

tff(c_157970,plain,
    sum(n5,sum(pred('#skF_2'),n11)) != sum(n20,sum(pred('#skF_2'),n17)),
    inference(demodulation,[status(thm),theory(equality)],[c_896,c_157969]) ).

tff(c_158224,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_155811,c_644,c_157938,c_155810,c_656,c_157938,c_157970]) ).

tff(c_158225,plain,
    ( ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_157874]) ).

tff(c_158227,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_158225]) ).

tff(c_158289,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_158227,c_1382]) ).

tff(c_158291,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_158227,c_1340]) ).

tff(c_158320,plain,
    sum(sum(n9,succ('#skF_2')),sum(n4,n11)) != sum(n20,sum(n4,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_158291,c_158291,c_156119]) ).

tff(c_158321,plain,
    sum(sum(n9,succ('#skF_2')),n15) != sum(n20,sum(n4,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_1118,c_158320]) ).

tff(c_158575,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_155791,c_155775,c_158289,c_648,c_918,c_158289,c_158321]) ).

tff(c_158576,plain,
    ( ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_158225]) ).

tff(c_158578,plain,
    n15 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_158576]) ).

tff(c_158640,plain,
    pred('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_158578,c_1320]) ).

tff(c_158643,plain,
    succ('#skF_2') = n16,
    inference(demodulation,[status(thm),theory(equality)],[c_158578,c_1362]) ).

tff(c_158667,plain,
    sum(sum(n9,n16),sum(pred('#skF_2'),n11)) != sum(n20,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_158643,c_158643,c_156119]) ).

tff(c_158668,plain,
    sum(n4,sum(pred('#skF_2'),n11)) != sum(n20,sum(pred('#skF_2'),n16)),
    inference(demodulation,[status(thm),theory(equality)],[c_898,c_158667]) ).

tff(c_158926,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_450,c_688,c_158640,c_1132,c_698,c_158640,c_158668]) ).

tff(c_158927,plain,
    ( ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_158576]) ).

tff(c_158929,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_158927]) ).

tff(c_158992,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_158929,c_1338]) ).

tff(c_158994,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_158929,c_1380]) ).

tff(c_159018,plain,
    sum(sum(n9,n7),sum(pred('#skF_2'),n11)) != sum(n20,sum(pred('#skF_2'),n7)),
    inference(demodulation,[status(thm),theory(equality)],[c_158994,c_158994,c_156119]) ).

tff(c_159019,plain,
    sum(n20,sum(pred('#skF_2'),n7)) != sum(n16,sum(pred('#skF_2'),n11)),
    inference(demodulation,[status(thm),theory(equality)],[c_916,c_159018]) ).

tff(c_159277,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_604,c_1076,c_158992,c_444,c_1084,c_158992,c_159019]) ).

tff(c_159278,plain,
    ( ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_158927]) ).

tff(c_159280,plain,
    n14 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_159278]) ).

tff(c_159343,plain,
    pred('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_159280,c_1322]) ).

tff(c_159345,plain,
    succ('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_159280,c_1364]) ).

tff(c_159369,plain,
    sum(sum(n9,n15),sum(pred('#skF_2'),n11)) != sum(n20,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_159345,c_159345,c_156119]) ).

tff(c_159370,plain,
    sum(n3,sum(pred('#skF_2'),n11)) != sum(n20,sum(pred('#skF_2'),n15)),
    inference(demodulation,[status(thm),theory(equality)],[c_900,c_159369]) ).

tff(c_159628,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_454,c_732,c_159343,c_1176,c_740,c_159343,c_159370]) ).

tff(c_159629,plain,
    ( ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_159278]) ).

tff(c_159631,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_159629]) ).

tff(c_159693,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_159631,c_1336]) ).

tff(c_159696,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_159631,c_1378]) ).

tff(c_159720,plain,
    sum(sum(n9,n8),sum(pred('#skF_2'),n11)) != sum(n20,sum(pred('#skF_2'),n8)),
    inference(demodulation,[status(thm),theory(equality)],[c_159696,c_159696,c_156119]) ).

tff(c_159721,plain,
    sum(n20,sum(pred('#skF_2'),n8)) != sum(n17,sum(pred('#skF_2'),n11)),
    inference(demodulation,[status(thm),theory(equality)],[c_914,c_159720]) ).

tff(c_159979,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_560,c_1034,c_159693,c_440,c_1040,c_159693,c_159721]) ).

tff(c_159980,plain,
    ( ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_159629]) ).

tff(c_159982,plain,
    n13 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_159980]) ).

tff(c_160045,plain,
    succ('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_159982,c_1366]) ).

tff(c_160047,plain,
    pred('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_159982,c_1324]) ).

tff(c_160071,plain,
    sum(sum(n9,succ('#skF_2')),sum(n12,n11)) != sum(n20,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_160047,c_160047,c_156119]) ).

tff(c_160072,plain,
    sum(sum(n9,succ('#skF_2')),n2) != sum(n20,sum(n12,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_782,c_160071]) ).

tff(c_160330,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_458,c_776,c_160045,c_1220,c_902,c_160045,c_160072]) ).

tff(c_160331,plain,
    ( ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_159980]) ).

tff(c_160333,plain,
    n8 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_160331]) ).

tff(c_160395,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_160333,c_1376]) ).

tff(c_160396,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_160333,c_1334]) ).

tff(c_160426,plain,
    sum(sum(n9,succ('#skF_2')),sum(n7,n11)) != sum(n20,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_160396,c_160396,c_156119]) ).

tff(c_160427,plain,
    sum(sum(n9,succ('#skF_2')),n18) != sum(n20,sum(n7,succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_992,c_160426]) ).

tff(c_160681,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_436,c_996,c_160395,c_516,c_912,c_160395,c_160427]) ).

tff(c_160682,plain,
    ( ( n9 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_160331]) ).

tff(c_160684,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_160682]) ).

tff(c_160749,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_160684,c_1326]) ).

tff(c_160747,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_160684,c_1368]) ).

tff(c_160777,plain,
    sum(sum(n9,n13),sum(pred('#skF_2'),n11)) != sum(n20,sum(pred('#skF_2'),n13)),
    inference(demodulation,[status(thm),theory(equality)],[c_160747,c_160747,c_156119]) ).

tff(c_160778,plain,
    sum(n20,sum(pred('#skF_2'),n13)) != sum(n1,sum(pred('#skF_2'),n11)),
    inference(demodulation,[status(thm),theory(equality)],[c_904,c_160777]) ).

tff(c_161032,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1264,c_824,c_160749,c_462,c_820,c_160749,c_160778]) ).

tff(c_161033,plain,
    ( ( n11 = '#skF_2' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_160682]) ).

tff(c_161035,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_161033]) ).

tff(c_155787,plain,
    sum(n9,'#skF_1') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_155772,c_910]) ).

tff(c_161037,plain,
    sum('#skF_2','#skF_1') = n19,
    inference(demodulation,[status(thm),theory(equality)],[c_161035,c_155787]) ).

tff(c_155828,plain,
    sum(n8,'#skF_1') = n18,
    inference(demodulation,[status(thm),theory(equality)],[c_155772,c_952]) ).

tff(c_161101,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_161035,c_1332]) ).

tff(c_155835,plain,
    succ(n9) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_155772,c_1374]) ).

tff(c_161044,plain,
    succ('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_161035,c_155835]) ).

tff(c_161036,plain,
    sum(sum('#skF_2',succ('#skF_2')),sum(pred('#skF_2'),n11)) != sum(n20,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_161035,c_156119]) ).

tff(c_161382,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_472,c_161037,c_432,c_155828,c_161101,c_950,c_161101,c_161044,c_161044,c_161036]) ).

tff(c_161383,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_161033]) ).

tff(c_161385,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_161383]) ).

tff(c_155777,plain,
    sum('#skF_1',n11) = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_155772,c_866]) ).

tff(c_161391,plain,
    sum('#skF_1','#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_161385,c_155777]) ).

tff(c_155836,plain,
    pred(n11) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_155772,c_1328]) ).

tff(c_161394,plain,
    pred('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_161385,c_155836]) ).

tff(c_155806,plain,
    sum('#skF_1',n12) = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_155772,c_864]) ).

tff(c_161450,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_161385,c_1370]) ).

tff(c_161386,plain,
    sum(sum(n9,succ('#skF_2')),sum(pred('#skF_2'),'#skF_2')) != sum(n20,sum(pred('#skF_2'),succ('#skF_2'))),
    inference(demodulation,[status(thm),theory(equality)],[c_161385,c_156119]) ).

tff(c_161732,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1308,c_161391,c_161394,c_466,c_155806,c_161394,c_161450,c_906,c_161450,c_161386]) ).

tff(c_161733,plain,
    '#skF_2' = '#skF_1',
    inference(splitRight,[status(thm)],[c_161383]) ).

tff(c_161750,plain,
    sum(sum(n9,succ('#skF_1')),sum(pred('#skF_1'),n11)) != sum(n20,sum(pred('#skF_1'),succ('#skF_1'))),
    inference(demodulation,[status(thm),theory(equality)],[c_161733,c_161733,c_161733,c_161733,c_156119]) ).

tff(c_161757,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_908,c_155834,c_155834,c_155837,c_155837,c_161750]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem  : NUM376+1.020 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.15  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36  % Computer : n023.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 15:18:07 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 184.74/167.67  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 186.67/169.07  
% 186.67/169.07  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 187.25/169.23  
% 187.25/169.23  Inference rules
% 187.25/169.23  ----------------------
% 187.25/169.23  #Ref     : 0
% 187.25/169.23  #Sup     : 59772
% 187.25/169.23  #Fact    : 0
% 187.25/169.23  #Define  : 0
% 187.25/169.23  #Split   : 440
% 187.25/169.23  #Chain   : 0
% 187.25/169.23  #Close   : 0
% 187.25/169.23  
% 187.25/169.23  Ordering : KBO
% 187.25/169.23  
% 187.25/169.23  Simplification rules
% 187.25/169.23  ----------------------
% 187.25/169.23  #Subsume      : 5154
% 187.25/169.23  #Demod        : 43317
% 187.25/169.23  #Tautology    : 59772
% 187.25/169.23  #SimpNegUnit  : 0
% 187.25/169.23  #BackRed      : 38192
% 187.25/169.23  
% 187.25/169.23  #Partial instantiations: 0
% 187.25/169.23  #Strategies tried      : 1
% 187.25/169.23  
% 187.25/169.23  Timing (in seconds)
% 187.25/169.23  ----------------------
% 187.25/169.24  Preprocessing        : 0.88
% 187.25/169.24  Parsing              : 0.45
% 187.25/169.24  CNF conversion       : 0.07
% 187.25/169.24  Main loop            : 165.77
% 187.25/169.24  Inferencing          : 50.13
% 187.25/169.24  Reduction            : 73.67
% 187.25/169.24  Demodulation         : 54.16
% 187.25/169.24  BG Simplification    : 0.17
% 187.25/169.24  Subsumption          : 32.46
% 187.25/169.24  Abstraction          : 0.91
% 187.25/169.24  MUC search           : 0.00
% 187.25/169.24  Cooper               : 0.00
% 187.25/169.24  Total                : 168.22
% 187.25/169.24  Index Insertion      : 0.00
% 187.25/169.24  Index Deletion       : 0.00
% 187.25/169.24  Index Matching       : 0.00
% 187.25/169.24  BG Taut test         : 0.00
%------------------------------------------------------------------------------