TSTP Solution File: NUM376+1.010 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM376+1.010 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:51:20 EDT 2023
% Result : Unsatisfiable 21.45s 10.06s
% Output : CNFRefutation 21.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 17
% Syntax : Number of formulae : 1209 (1072 unt; 16 typ; 0 def)
% Number of atoms : 2063 (1942 equ)
% Maximal formula atoms : 221 ( 1 avg)
% Number of connectives : 1103 ( 233 ~; 670 |; 200 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 204 ( 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 : 16 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 2 (; 0 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sum > #nlpp > succ > pred > n9 > n8 > n7 > n6 > n5 > n4 > n3 > n2 > n10 > n1 > n0 > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
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(n0,type,
n0: $i ).
tff(sum,type,
sum: ( $i * $i ) > $i ).
tff(n4,type,
n4: $i ).
tff(n10,type,
n10: $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_524,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) = n0 )
& ( pred(n0) = n10 )
& ( pred(n1) = n0 )
& ( pred(n2) = n1 )
& ( pred(n3) = n2 )
& ( pred(n4) = n3 )
& ( pred(n5) = n4 )
& ( pred(n6) = n5 )
& ( pred(n7) = n6 )
& ( pred(n8) = n7 )
& ( pred(n9) = n8 )
& ( pred(n10) = n9 )
& ( sum(n0,n0) = n0 )
& ( sum(n0,n1) = n1 )
& ( sum(n0,n2) = n2 )
& ( sum(n0,n3) = n3 )
& ( sum(n0,n4) = n4 )
& ( sum(n0,n5) = n5 )
& ( sum(n0,n6) = n6 )
& ( sum(n0,n7) = n7 )
& ( sum(n0,n8) = n8 )
& ( sum(n0,n9) = n9 )
& ( sum(n0,n10) = n10 )
& ( sum(n1,n0) = n1 )
& ( sum(n1,n1) = n2 )
& ( sum(n1,n2) = n3 )
& ( sum(n1,n3) = n4 )
& ( sum(n1,n4) = n5 )
& ( sum(n1,n5) = n6 )
& ( sum(n1,n6) = n7 )
& ( sum(n1,n7) = n8 )
& ( sum(n1,n8) = n9 )
& ( sum(n1,n9) = n10 )
& ( sum(n1,n10) = n0 )
& ( sum(n2,n0) = n2 )
& ( sum(n2,n1) = n3 )
& ( sum(n2,n2) = n4 )
& ( sum(n2,n3) = n5 )
& ( sum(n2,n4) = n6 )
& ( sum(n2,n5) = n7 )
& ( sum(n2,n6) = n8 )
& ( sum(n2,n7) = n9 )
& ( sum(n2,n8) = n10 )
& ( sum(n2,n9) = n0 )
& ( sum(n2,n10) = n1 )
& ( sum(n3,n0) = n3 )
& ( sum(n3,n1) = n4 )
& ( sum(n3,n2) = n5 )
& ( sum(n3,n3) = n6 )
& ( sum(n3,n4) = n7 )
& ( sum(n3,n5) = n8 )
& ( sum(n3,n6) = n9 )
& ( sum(n3,n7) = n10 )
& ( sum(n3,n8) = n0 )
& ( sum(n3,n9) = n1 )
& ( sum(n3,n10) = n2 )
& ( sum(n4,n0) = n4 )
& ( sum(n4,n1) = n5 )
& ( sum(n4,n2) = n6 )
& ( sum(n4,n3) = n7 )
& ( sum(n4,n4) = n8 )
& ( sum(n4,n5) = n9 )
& ( sum(n4,n6) = n10 )
& ( sum(n4,n7) = n0 )
& ( sum(n4,n8) = n1 )
& ( sum(n4,n9) = n2 )
& ( sum(n4,n10) = n3 )
& ( sum(n5,n0) = n5 )
& ( sum(n5,n1) = n6 )
& ( sum(n5,n2) = n7 )
& ( sum(n5,n3) = n8 )
& ( sum(n5,n4) = n9 )
& ( sum(n5,n5) = n10 )
& ( sum(n5,n6) = n0 )
& ( sum(n5,n7) = n1 )
& ( sum(n5,n8) = n2 )
& ( sum(n5,n9) = n3 )
& ( sum(n5,n10) = n4 )
& ( sum(n6,n0) = n6 )
& ( sum(n6,n1) = n7 )
& ( sum(n6,n2) = n8 )
& ( sum(n6,n3) = n9 )
& ( sum(n6,n4) = n10 )
& ( sum(n6,n5) = n0 )
& ( sum(n6,n6) = n1 )
& ( sum(n6,n7) = n2 )
& ( sum(n6,n8) = n3 )
& ( sum(n6,n9) = n4 )
& ( sum(n6,n10) = n5 )
& ( sum(n7,n0) = n7 )
& ( sum(n7,n1) = n8 )
& ( sum(n7,n2) = n9 )
& ( sum(n7,n3) = n10 )
& ( sum(n7,n4) = n0 )
& ( sum(n7,n5) = n1 )
& ( sum(n7,n6) = n2 )
& ( sum(n7,n7) = n3 )
& ( sum(n7,n8) = n4 )
& ( sum(n7,n9) = n5 )
& ( sum(n7,n10) = n6 )
& ( sum(n8,n0) = n8 )
& ( sum(n8,n1) = n9 )
& ( sum(n8,n2) = n10 )
& ( sum(n8,n3) = n0 )
& ( sum(n8,n4) = n1 )
& ( sum(n8,n5) = n2 )
& ( sum(n8,n6) = n3 )
& ( sum(n8,n7) = n4 )
& ( sum(n8,n8) = n5 )
& ( sum(n8,n9) = n6 )
& ( sum(n8,n10) = n7 )
& ( sum(n9,n0) = n9 )
& ( sum(n9,n1) = n10 )
& ( sum(n9,n2) = n0 )
& ( sum(n9,n3) = n1 )
& ( sum(n9,n4) = n2 )
& ( sum(n9,n5) = n3 )
& ( sum(n9,n6) = n4 )
& ( sum(n9,n7) = n5 )
& ( sum(n9,n8) = n6 )
& ( sum(n9,n9) = n7 )
& ( sum(n9,n10) = n8 )
& ( sum(n10,n0) = n10 )
& ( sum(n10,n1) = n0 )
& ( sum(n10,n2) = n1 )
& ( sum(n10,n3) = n2 )
& ( sum(n10,n4) = n3 )
& ( sum(n10,n5) = n4 )
& ( sum(n10,n6) = n5 )
& ( sum(n10,n7) = n6 )
& ( sum(n10,n8) = n7 )
& ( sum(n10,n9) = n8 )
& ( sum(n10,n10) = n9 )
& ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 )
| ( X = n6 )
| ( X = n7 )
| ( X = n8 )
| ( X = n9 )
| ( X = n10 ) )
& ( ( Y = n0 )
| ( Y = n1 )
| ( Y = n2 )
| ( Y = n3 )
| ( Y = n4 )
| ( Y = n5 )
| ( Y = n6 )
| ( Y = n7 )
| ( Y = n8 )
| ( Y = n9 )
| ( Y = n10 ) )
& ( 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 )
& ( n1 != n2 )
& ( n1 != n3 )
& ( n1 != n4 )
& ( n1 != n5 )
& ( n1 != n6 )
& ( n1 != n7 )
& ( n1 != n8 )
& ( n1 != n9 )
& ( n1 != n10 )
& ( n2 != n3 )
& ( n2 != n4 )
& ( n2 != n5 )
& ( n2 != n6 )
& ( n2 != n7 )
& ( n2 != n8 )
& ( n2 != n9 )
& ( n2 != n10 )
& ( n3 != n4 )
& ( n3 != n5 )
& ( n3 != n6 )
& ( n3 != n7 )
& ( n3 != n8 )
& ( n3 != n9 )
& ( n3 != n10 )
& ( n4 != n5 )
& ( n4 != n6 )
& ( n4 != n7 )
& ( n4 != n8 )
& ( n4 != n9 )
& ( n4 != n10 )
& ( n5 != n6 )
& ( n5 != n7 )
& ( n5 != n8 )
& ( n5 != n9 )
& ( n5 != n10 )
& ( n6 != n7 )
& ( n6 != n8 )
& ( n6 != n9 )
& ( n6 != n10 )
& ( n7 != n8 )
& ( n7 != n9 )
& ( n7 != n10 )
& ( n8 != n9 )
& ( n8 != n10 )
& ( n9 != n10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',try_satisfy_this) ).
tff(c_118,plain,
sum(n10,n10) = n9,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_258,plain,
sum(n4,n6) = n10,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_358,plain,
sum(n0,n0) = n0,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_142,plain,
sum(n9,n9) = n7,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_334,plain,
sum(n1,n1) = n2,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_254,plain,
sum(n4,n8) = n1,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_234,plain,
sum(n5,n7) = n1,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_238,plain,
sum(n5,n5) = n10,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_310,plain,
sum(n2,n2) = n4,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_282,plain,
sum(n3,n5) = n8,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_276,plain,
sum(n3,n8) = n0,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_214,plain,
sum(n6,n6) = n1,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_286,plain,
sum(n3,n3) = n6,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_176,plain,
sum(n8,n3) = n0,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_190,plain,
sum(n7,n7) = n3,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_324,plain,
sum(n1,n6) = n7,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_166,plain,
sum(n8,n8) = n5,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_242,plain,
sum(n5,n3) = n8,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_198,plain,
sum(n7,n3) = n10,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_330,plain,
sum(n1,n3) = n4,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_316,plain,
sum(n1,n10) = n0,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_250,plain,
sum(n4,n10) = n3,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_262,plain,
sum(n4,n4) = n8,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_228,plain,
sum(n5,n10) = n4,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_294,plain,
sum(n2,n10) = n1,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_162,plain,
sum(n8,n10) = n7,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_148,plain,
sum(n9,n6) = n4,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_114,plain,
( ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' )
| ( n1 = '#skF_2' )
| ( n0 = '#skF_2' ) ),
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_975,plain,
n0 = '#skF_2',
inference(splitLeft,[status(thm)],[c_114]) ).
tff(c_116,plain,
( ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' )
| ( n0 = '#skF_1' ) ),
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_1025,plain,
( ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_975,c_116]) ).
tff(c_1026,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_1025]) ).
tff(c_112,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_524]) ).
tff(c_1040,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1026,c_1026,c_1026,c_1026,c_112]) ).
tff(c_1041,plain,
( ( n1 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_1025]) ).
tff(c_1184,plain,
n10 = '#skF_1',
inference(splitLeft,[status(thm)],[c_1041]) ).
tff(c_1207,plain,
sum('#skF_1','#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_1184,c_1184,c_118]) ).
tff(c_138,plain,
sum(n10,n0) = n10,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_1000,plain,
sum(n10,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_975,c_138]) ).
tff(c_1187,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_1184,c_1184,c_1000]) ).
tff(c_160,plain,
sum(n9,n0) = n9,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_979,plain,
sum(n9,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_975,c_160]) ).
tff(c_136,plain,
sum(n10,n1) = n0,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_995,plain,
sum(n10,n1) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_975,c_136]) ).
tff(c_1186,plain,
sum('#skF_1',n1) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_1184,c_995]) ).
tff(c_158,plain,
sum(n9,n1) = n10,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_1202,plain,
sum(n9,n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_1184,c_158]) ).
tff(c_382,plain,
succ(n10) = n0,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_1009,plain,
succ(n10) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_975,c_382]) ).
tff(c_1190,plain,
succ('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_1184,c_1009]) ).
tff(c_360,plain,
pred(n10) = n9,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_1219,plain,
pred('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_1184,c_360]) ).
tff(c_402,plain,
succ(n0) = n1,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_1008,plain,
succ('#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_975,c_402]) ).
tff(c_380,plain,
pred(n0) = n10,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_1007,plain,
pred('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_975,c_380]) ).
tff(c_1047,plain,
sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n10,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n10,succ('#skF_2'))),
inference(demodulation,[status(thm),theory(equality)],[c_1007,c_1007,c_112]) ).
tff(c_1370,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1207,c_1187,c_979,c_1186,c_1202,c_1190,c_979,c_1190,c_1219,c_1219,c_1184,c_1184,c_1008,c_1008,c_1047]) ).
tff(c_1371,plain,
( ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_1041]) ).
tff(c_1373,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_1371]) ).
tff(c_1392,plain,
sum('#skF_1','#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_1373,c_1373,c_334]) ).
tff(c_356,plain,
sum(n0,n1) = n1,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_993,plain,
sum('#skF_2',n1) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_975,c_356]) ).
tff(c_1378,plain,
sum('#skF_2','#skF_1') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_1373,c_1373,c_993]) ).
tff(c_134,plain,
sum(n10,n2) = n1,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_1393,plain,
sum(n10,n2) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_1373,c_134]) ).
tff(c_314,plain,
sum(n2,n0) = n2,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_994,plain,
sum(n2,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_975,c_314]) ).
tff(c_354,plain,
sum(n0,n2) = n2,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_997,plain,
sum('#skF_2',n2) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_975,c_354]) ).
tff(c_378,plain,
pred(n1) = n0,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_1010,plain,
pred(n1) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_975,c_378]) ).
tff(c_1380,plain,
pred('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_1373,c_1010]) ).
tff(c_400,plain,
succ(n1) = n2,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_1410,plain,
succ('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_1373,c_400]) ).
tff(c_1374,plain,
sum(sum(pred('#skF_1'),n1),sum(n10,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_995,c_1008,c_1008,c_1047]) ).
tff(c_1375,plain,
sum(sum(pred('#skF_1'),'#skF_1'),sum(n10,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_1373,c_1374]) ).
tff(c_1561,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1392,c_1378,c_1393,c_994,c_997,c_1380,c_1380,c_1410,c_1410,c_1375]) ).
tff(c_1562,plain,
( ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_1371]) ).
tff(c_1564,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_1562]) ).
tff(c_1574,plain,
sum('#skF_1','#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_1564,c_1564,c_142]) ).
tff(c_1581,plain,
sum(n10,n10) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_1564,c_118]) ).
tff(c_180,plain,
sum(n8,n1) = n9,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_1575,plain,
sum(n8,n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_1564,c_180]) ).
tff(c_204,plain,
sum(n7,n0) = n7,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_996,plain,
sum(n7,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_975,c_204]) ).
tff(c_384,plain,
succ(n9) = n10,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_1596,plain,
succ('#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_1564,c_384]) ).
tff(c_362,plain,
pred(n9) = n8,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_1597,plain,
pred('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_1564,c_362]) ).
tff(c_1750,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1574,c_1581,c_1575,c_996,c_162,c_1596,c_1596,c_1597,c_1597,c_995,c_1008,c_1008,c_1047]) ).
tff(c_1751,plain,
( ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_1562]) ).
tff(c_1754,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_1751]) ).
tff(c_1765,plain,
sum('#skF_1','#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_1754,c_1754,c_310]) ).
tff(c_132,plain,
sum(n10,n3) = n2,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_1761,plain,
sum(n10,n3) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_1754,c_132]) ).
tff(c_1770,plain,
sum(n1,n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_1754,c_334]) ).
tff(c_270,plain,
sum(n4,n0) = n4,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_1004,plain,
sum(n4,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_975,c_270]) ).
tff(c_398,plain,
succ(n2) = n3,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_1789,plain,
succ('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_1754,c_398]) ).
tff(c_376,plain,
pred(n2) = n1,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_1787,plain,
pred('#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_1754,c_376]) ).
tff(c_1753,plain,
sum(sum(pred('#skF_1'),n1),sum(n10,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_995,c_1008,c_1008,c_1047]) ).
tff(c_1803,plain,
sum(sum(n1,n1),sum(n10,succ('#skF_1'))) != sum(sum(n1,succ('#skF_1')),'#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_1787,c_1787,c_1753]) ).
tff(c_1941,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1765,c_1761,c_1770,c_1004,c_330,c_1789,c_1789,c_1803]) ).
tff(c_1942,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_1751]) ).
tff(c_1944,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_1942]) ).
tff(c_1970,plain,
sum('#skF_1','#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_1944,c_1944,c_166]) ).
tff(c_120,plain,
sum(n10,n9) = n8,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_1950,plain,
sum(n10,n9) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_1944,c_120]) ).
tff(c_202,plain,
sum(n7,n1) = n8,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_1965,plain,
sum(n7,n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_1944,c_202]) ).
tff(c_248,plain,
sum(n5,n0) = n5,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_986,plain,
sum(n5,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_975,c_248]) ).
tff(c_186,plain,
sum(n7,n9) = n5,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_364,plain,
pred(n8) = n7,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_1976,plain,
pred('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_1944,c_364]) ).
tff(c_386,plain,
succ(n8) = n9,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_1978,plain,
succ('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_1944,c_386]) ).
tff(c_2001,plain,
sum(sum(pred('#skF_1'),n1),sum(n10,n9)) != sum(sum(pred('#skF_1'),n9),'#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_1978,c_1978,c_1753]) ).
tff(c_2131,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1970,c_1950,c_1965,c_986,c_186,c_1976,c_1976,c_2001]) ).
tff(c_2132,plain,
( ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_1942]) ).
tff(c_2134,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_2132]) ).
tff(c_2148,plain,
sum('#skF_1','#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_2134,c_2134,c_286]) ).
tff(c_312,plain,
sum(n2,n1) = n3,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_2165,plain,
sum(n2,n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2134,c_312]) ).
tff(c_130,plain,
sum(n10,n4) = n3,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_2150,plain,
sum(n10,n4) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2134,c_130]) ).
tff(c_226,plain,
sum(n6,n0) = n6,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_982,plain,
sum(n6,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_975,c_226]) ).
tff(c_306,plain,
sum(n2,n4) = n6,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_374,plain,
pred(n3) = n2,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_2166,plain,
pred('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_2134,c_374]) ).
tff(c_396,plain,
succ(n3) = n4,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_2169,plain,
succ('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_2134,c_396]) ).
tff(c_2187,plain,
sum(sum(pred('#skF_1'),n1),sum(n10,n4)) != sum(sum(pred('#skF_1'),n4),'#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_2169,c_2169,c_1753]) ).
tff(c_2321,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2148,c_2165,c_2150,c_982,c_306,c_2166,c_2166,c_2187]) ).
tff(c_2322,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_2132]) ).
tff(c_2324,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_2322]) ).
tff(c_2346,plain,
sum('#skF_1','#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_2324,c_2324,c_190]) ).
tff(c_122,plain,
sum(n10,n8) = n7,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_2339,plain,
sum(n10,n8) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2324,c_122]) ).
tff(c_224,plain,
sum(n6,n1) = n7,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_2353,plain,
sum(n6,n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2324,c_224]) ).
tff(c_292,plain,
sum(n3,n0) = n3,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_991,plain,
sum(n3,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_975,c_292]) ).
tff(c_210,plain,
sum(n6,n8) = n3,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_388,plain,
succ(n7) = n8,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_2359,plain,
succ('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_2324,c_388]) ).
tff(c_366,plain,
pred(n7) = n6,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_2358,plain,
pred('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_2324,c_366]) ).
tff(c_2373,plain,
sum(sum(n6,n1),sum(n10,succ('#skF_1'))) != sum(sum(n6,succ('#skF_1')),'#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_2358,c_2358,c_1753]) ).
tff(c_2511,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2346,c_2339,c_2353,c_991,c_210,c_2359,c_2359,c_2373]) ).
tff(c_2512,plain,
( ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_2322]) ).
tff(c_2514,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_2512]) ).
tff(c_2544,plain,
sum('#skF_1','#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_2514,c_2514,c_262]) ).
tff(c_128,plain,
sum(n10,n5) = n4,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_2537,plain,
sum(n10,n5) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2514,c_128]) ).
tff(c_290,plain,
sum(n3,n1) = n4,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_2532,plain,
sum(n3,n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2514,c_290]) ).
tff(c_182,plain,
sum(n8,n0) = n8,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_983,plain,
sum(n8,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_975,c_182]) ).
tff(c_372,plain,
pred(n4) = n3,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_2548,plain,
pred('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_2514,c_372]) ).
tff(c_394,plain,
succ(n4) = n5,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_2546,plain,
succ('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_2514,c_394]) ).
tff(c_2563,plain,
sum(sum(pred('#skF_1'),n1),sum(n10,n5)) != sum(sum(pred('#skF_1'),n5),'#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_2546,c_2546,c_1753]) ).
tff(c_2701,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2544,c_2537,c_2532,c_983,c_282,c_2548,c_2548,c_2563]) ).
tff(c_2702,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_2512]) ).
tff(c_2704,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_2702]) ).
tff(c_2710,plain,
sum('#skF_1','#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_2704,c_2704,c_214]) ).
tff(c_124,plain,
sum(n10,n7) = n6,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_2729,plain,
sum(n10,n7) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2704,c_124]) ).
tff(c_246,plain,
sum(n5,n1) = n6,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_2717,plain,
sum(n5,n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2704,c_246]) ).
tff(c_336,plain,
sum(n1,n0) = n1,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_1006,plain,
sum(n1,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_975,c_336]) ).
tff(c_368,plain,
pred(n6) = n5,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_2738,plain,
pred('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_2704,c_368]) ).
tff(c_390,plain,
succ(n6) = n7,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_2736,plain,
succ('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_2704,c_390]) ).
tff(c_2753,plain,
sum(sum(pred('#skF_1'),n1),sum(n10,n7)) != sum(sum(pred('#skF_1'),n7),'#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_2736,c_2736,c_1753]) ).
tff(c_2891,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2710,c_2729,c_2717,c_1006,c_234,c_2738,c_2738,c_2753]) ).
tff(c_2892,plain,
n5 = '#skF_1',
inference(splitRight,[status(thm)],[c_2702]) ).
tff(c_2902,plain,
sum('#skF_1','#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_2892,c_2892,c_238]) ).
tff(c_268,plain,
sum(n4,n1) = n5,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_2903,plain,
sum(n4,n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2892,c_268]) ).
tff(c_126,plain,
sum(n10,n6) = n5,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_2910,plain,
sum(n10,n6) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2892,c_126]) ).
tff(c_392,plain,
succ(n5) = n6,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_2928,plain,
succ('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_2892,c_392]) ).
tff(c_370,plain,
pred(n5) = n4,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_2927,plain,
pred('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_2892,c_370]) ).
tff(c_2946,plain,
sum(sum(n4,n1),sum(n10,succ('#skF_1'))) != sum(sum(n4,succ('#skF_1')),'#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_2927,c_2927,c_1753]) ).
tff(c_3080,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2902,c_2903,c_2910,c_1000,c_258,c_2928,c_2928,c_2946]) ).
tff(c_3081,plain,
( ( n1 = '#skF_2' )
| ( n2 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_114]) ).
tff(c_3083,plain,
n10 = '#skF_2',
inference(splitLeft,[status(thm)],[c_3081]) ).
tff(c_3088,plain,
sum(n5,n5) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3083,c_238]) ).
tff(c_146,plain,
sum(n9,n7) = n5,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_150,plain,
sum(n9,n5) = n3,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_156,plain,
sum(n9,n2) = n0,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_3100,plain,
sum('#skF_2','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_3083,c_3083,c_118]) ).
tff(c_3095,plain,
sum(n9,n1) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3083,c_158]) ).
tff(c_3132,plain,
( ( '#skF_2' = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' )
| ( n0 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3083,c_116]) ).
tff(c_3133,plain,
n0 = '#skF_1',
inference(splitLeft,[status(thm)],[c_3132]) ).
tff(c_3110,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3083,c_3083,c_138]) ).
tff(c_3406,plain,
sum('#skF_2','#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3133,c_3110]) ).
tff(c_340,plain,
sum(n0,n9) = n9,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_3135,plain,
sum('#skF_1',n9) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_3133,c_340]) ).
tff(c_3102,plain,
sum('#skF_2',n1) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_3083,c_136]) ).
tff(c_3349,plain,
sum('#skF_2',n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_3133,c_3102]) ).
tff(c_3138,plain,
sum(n9,'#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_3133,c_160]) ).
tff(c_3116,plain,
pred('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_3083,c_360]) ).
tff(c_3117,plain,
succ('#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_3083,c_382]) ).
tff(c_3195,plain,
succ('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_3133,c_3117]) ).
tff(c_3115,plain,
pred(n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3083,c_380]) ).
tff(c_3190,plain,
pred('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3133,c_3115]) ).
tff(c_3162,plain,
succ('#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_3133,c_402]) ).
tff(c_3181,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_3162,c_3162,c_112]) ).
tff(c_3437,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3100,c_3095,c_3406,c_3135,c_3349,c_3138,c_3116,c_3116,c_3195,c_3195,c_3190,c_3190,c_3181]) ).
tff(c_3438,plain,
( ( n1 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_3132]) ).
tff(c_3577,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_3438]) ).
tff(c_3611,plain,
succ('#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_3577,c_3117]) ).
tff(c_3440,plain,
sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n0)) != sum(sum(pred('#skF_1'),n0),sum(pred('#skF_2'),succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_3117,c_3117,c_112]) ).
tff(c_3631,plain,
sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_1'),n0)) != sum(sum(pred('#skF_1'),n0),sum(pred('#skF_1'),succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_3577,c_3577,c_3440]) ).
tff(c_3634,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3611,c_3611,c_3631]) ).
tff(c_3635,plain,
( ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_3438]) ).
tff(c_3637,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_3635]) ).
tff(c_3671,plain,
succ('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_3637,c_400]) ).
tff(c_296,plain,
sum(n2,n9) = n0,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_3672,plain,
pred('#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_3637,c_378]) ).
tff(c_3815,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_156,c_3671,c_296,c_354,c_3671,c_3672,c_358,c_3672,c_160,c_3116,c_3116,c_3440]) ).
tff(c_3816,plain,
( ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_3635]) ).
tff(c_3818,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_3816]) ).
tff(c_140,plain,
sum(n9,n10) = n8,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_3113,plain,
sum(n9,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_3083,c_140]) ).
tff(c_3822,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_3818,c_3113]) ).
tff(c_3843,plain,
sum(n7,'#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_3818,c_186]) ).
tff(c_3829,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_3818,c_3818,c_160]) ).
tff(c_3824,plain,
pred('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_3818,c_3116]) ).
tff(c_3114,plain,
succ(n9) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3083,c_384]) ).
tff(c_3825,plain,
succ('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3818,c_3114]) ).
tff(c_3091,plain,
sum(n8,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_3083,c_162]) ).
tff(c_3852,plain,
pred('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_3818,c_362]) ).
tff(c_3983,plain,
sum(n8,sum('#skF_1','#skF_2')) != n5,
inference(demodulation,[status(thm),theory(equality)],[c_3843,c_3829,c_3824,c_3824,c_3825,c_3091,c_3825,c_182,c_3852,c_3852,c_3440]) ).
tff(c_4000,plain,
sum(n8,n8) != n5,
inference(demodulation,[status(thm),theory(equality)],[c_3822,c_3983]) ).
tff(c_4003,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166,c_4000]) ).
tff(c_4004,plain,
( ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_3816]) ).
tff(c_4006,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_4004]) ).
tff(c_4022,plain,
sum(n1,n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_4006,c_334]) ).
tff(c_252,plain,
sum(n4,n9) = n2,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_4025,plain,
sum(n4,n9) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_4006,c_252]) ).
tff(c_154,plain,
sum(n9,n3) = n1,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_4041,plain,
succ('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_4006,c_398]) ).
tff(c_4039,plain,
pred('#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_4006,c_376]) ).
tff(c_4192,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4022,c_4025,c_154,c_4041,c_330,c_4041,c_4039,c_336,c_4039,c_160,c_3116,c_3116,c_3440]) ).
tff(c_4193,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_4004]) ).
tff(c_4196,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_4193]) ).
tff(c_4228,plain,
pred('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_4196,c_364]) ).
tff(c_230,plain,
sum(n5,n9) = n3,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_4230,plain,
succ('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_4196,c_386]) ).
tff(c_4195,plain,
sum(sum(pred('#skF_1'),n0),sum(n9,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n9),
inference(demodulation,[status(thm),theory(equality)],[c_160,c_3116,c_3116,c_3440]) ).
tff(c_4253,plain,
sum(sum(pred('#skF_1'),n0),sum(n9,n9)) != sum(sum(pred('#skF_1'),n9),n9),
inference(demodulation,[status(thm),theory(equality)],[c_4230,c_4230,c_4195]) ).
tff(c_4254,plain,
sum(sum(pred('#skF_1'),n9),n9) != sum(sum(pred('#skF_1'),n0),n7),
inference(demodulation,[status(thm),theory(equality)],[c_142,c_4253]) ).
tff(c_4384,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_190,c_204,c_4228,c_230,c_186,c_4228,c_4254]) ).
tff(c_4385,plain,
( ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_4193]) ).
tff(c_4387,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_4385]) ).
tff(c_4419,plain,
pred('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_4387,c_374]) ).
tff(c_208,plain,
sum(n6,n9) = n4,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_152,plain,
sum(n9,n4) = n2,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_4422,plain,
succ('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_4387,c_396]) ).
tff(c_4440,plain,
sum(sum(pred('#skF_1'),n0),sum(n9,n4)) != sum(sum(pred('#skF_1'),n4),n9),
inference(demodulation,[status(thm),theory(equality)],[c_4422,c_4422,c_4195]) ).
tff(c_4441,plain,
sum(sum(pred('#skF_1'),n4),n9) != sum(sum(pred('#skF_1'),n0),n2),
inference(demodulation,[status(thm),theory(equality)],[c_152,c_4440]) ).
tff(c_4575,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_310,c_314,c_4419,c_208,c_306,c_4419,c_4441]) ).
tff(c_4576,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_4385]) ).
tff(c_4578,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_4576]) ).
tff(c_4612,plain,
pred('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_4578,c_366]) ).
tff(c_274,plain,
sum(n3,n9) = n1,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_144,plain,
sum(n9,n8) = n6,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_4613,plain,
succ('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_4578,c_388]) ).
tff(c_4631,plain,
sum(sum(pred('#skF_1'),n0),sum(n9,n8)) != sum(sum(pred('#skF_1'),n8),n9),
inference(demodulation,[status(thm),theory(equality)],[c_4613,c_4613,c_4195]) ).
tff(c_4632,plain,
sum(sum(pred('#skF_1'),n8),n9) != sum(sum(pred('#skF_1'),n0),n6),
inference(demodulation,[status(thm),theory(equality)],[c_144,c_4631]) ).
tff(c_4766,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_226,c_4612,c_274,c_210,c_4612,c_4632]) ).
tff(c_4767,plain,
( ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_4576]) ).
tff(c_4769,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_4767]) ).
tff(c_4801,plain,
succ('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_4769,c_394]) ).
tff(c_164,plain,
sum(n8,n9) = n6,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_4803,plain,
pred('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_4769,c_372]) ).
tff(c_4822,plain,
sum(sum(n3,n0),sum(n9,succ('#skF_1'))) != sum(sum(n3,succ('#skF_1')),n9),
inference(demodulation,[status(thm),theory(equality)],[c_4803,c_4803,c_4195]) ).
tff(c_4823,plain,
sum(sum(n3,succ('#skF_1')),n9) != sum(n3,sum(n9,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_292,c_4822]) ).
tff(c_4957,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_286,c_150,c_4801,c_164,c_282,c_4801,c_4823]) ).
tff(c_4958,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_4767]) ).
tff(c_4960,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_4958]) ).
tff(c_4992,plain,
succ('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_4960,c_390]) ).
tff(c_318,plain,
sum(n1,n9) = n10,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_3084,plain,
sum(n1,n9) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3083,c_318]) ).
tff(c_4994,plain,
pred('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_4960,c_368]) ).
tff(c_5009,plain,
sum(sum(n5,n0),sum(n9,succ('#skF_1'))) != sum(sum(n5,succ('#skF_1')),n9),
inference(demodulation,[status(thm),theory(equality)],[c_4994,c_4994,c_4195]) ).
tff(c_5010,plain,
sum(sum(n5,succ('#skF_1')),n9) != sum(n5,sum(n9,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_248,c_5009]) ).
tff(c_5148,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3088,c_146,c_4992,c_3084,c_234,c_4992,c_5010]) ).
tff(c_5149,plain,
n5 = '#skF_1',
inference(splitRight,[status(thm)],[c_4958]) ).
tff(c_5185,plain,
succ('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_5149,c_392]) ).
tff(c_3085,plain,
sum('#skF_2',n9) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_3083,c_120]) ).
tff(c_3093,plain,
sum(n4,n6) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3083,c_258]) ).
tff(c_5184,plain,
pred('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_5149,c_370]) ).
tff(c_5203,plain,
sum(sum(n4,n0),sum(n9,succ('#skF_1'))) != sum(sum(n4,succ('#skF_1')),n9),
inference(demodulation,[status(thm),theory(equality)],[c_5184,c_5184,c_4195]) ).
tff(c_5204,plain,
sum(sum(n4,succ('#skF_1')),n9) != sum(n4,sum(n9,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_270,c_5203]) ).
tff(c_5338,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_262,c_148,c_5185,c_3085,c_3093,c_5185,c_5204]) ).
tff(c_5339,plain,
( ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' )
| ( n1 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_3081]) ).
tff(c_5341,plain,
n1 = '#skF_2',
inference(splitLeft,[status(thm)],[c_5339]) ).
tff(c_5345,plain,
sum(n6,n6) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_5341,c_214]) ).
tff(c_346,plain,
sum(n0,n6) = n6,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_244,plain,
sum(n5,n2) = n7,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_288,plain,
sum(n3,n2) = n5,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_342,plain,
sum(n0,n8) = n8,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_200,plain,
sum(n7,n2) = n9,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_5351,plain,
sum('#skF_2','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_5341,c_5341,c_334]) ).
tff(c_5352,plain,
sum(n10,n2) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_5341,c_134]) ).
tff(c_5407,plain,
( ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n0 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5341,c_116]) ).
tff(c_5408,plain,
n0 = '#skF_1',
inference(splitLeft,[status(thm)],[c_5407]) ).
tff(c_5357,plain,
sum(n0,'#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_5341,c_5341,c_356]) ).
tff(c_5656,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_5408,c_5357]) ).
tff(c_5431,plain,
sum('#skF_1',n2) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_5408,c_354]) ).
tff(c_5358,plain,
sum(n10,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_5341,c_136]) ).
tff(c_5619,plain,
sum(n10,'#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_5408,c_5358]) ).
tff(c_5375,plain,
pred('#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_5341,c_378]) ).
tff(c_5410,plain,
pred('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_5408,c_5375]) ).
tff(c_5373,plain,
succ(n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_5341,c_402]) ).
tff(c_5409,plain,
succ('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_5408,c_5373]) ).
tff(c_5439,plain,
pred('#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_5408,c_380]) ).
tff(c_5374,plain,
succ('#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_5341,c_400]) ).
tff(c_5390,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_5374,c_5374,c_112]) ).
tff(c_5703,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5351,c_5352,c_5656,c_5431,c_5619,c_5431,c_5410,c_5410,c_5409,c_5409,c_5439,c_5439,c_5390]) ).
tff(c_5704,plain,
( ( '#skF_2' = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_5407]) ).
tff(c_5826,plain,
n10 = '#skF_1',
inference(splitLeft,[status(thm)],[c_5704]) ).
tff(c_5861,plain,
succ('#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_5826,c_382]) ).
tff(c_5860,plain,
pred('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_5826,c_360]) ).
tff(c_6012,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_358,c_5861,c_156,c_160,c_5861,c_5860,c_156,c_5860,c_354,c_5375,c_5375,c_5390]) ).
tff(c_6013,plain,
( ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_5704]) ).
tff(c_6015,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_6013]) ).
tff(c_6049,plain,
succ('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_6015,c_5374]) ).
tff(c_6069,plain,
sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_1'),n2)) != sum(sum(pred('#skF_1'),n2),sum(pred('#skF_1'),succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_6015,c_6015,c_5390]) ).
tff(c_6072,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6049,c_6049,c_6069]) ).
tff(c_6073,plain,
( ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_6013]) ).
tff(c_6075,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_6073]) ).
tff(c_6096,plain,
sum(n7,n2) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_6075,c_200]) ).
tff(c_6094,plain,
sum(n10,n10) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_6075,c_118]) ).
tff(c_338,plain,
sum(n0,n10) = n10,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_6107,plain,
succ('#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_6075,c_384]) ).
tff(c_6108,plain,
pred('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_6075,c_362]) ).
tff(c_178,plain,
sum(n8,n2) = n10,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_6261,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6096,c_6094,c_338,c_6107,c_162,c_6107,c_6108,c_178,c_6108,c_354,c_5375,c_5375,c_5390]) ).
tff(c_6262,plain,
( ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_6073]) ).
tff(c_6265,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_6262]) ).
tff(c_332,plain,
sum(n1,n2) = n3,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_5367,plain,
sum('#skF_2',n2) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_5341,c_332]) ).
tff(c_6269,plain,
sum('#skF_2','#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_6265,c_5367]) ).
tff(c_266,plain,
sum(n4,n2) = n6,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_6277,plain,
sum(n4,'#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_6265,c_266]) ).
tff(c_5372,plain,
pred(n2) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_5341,c_376]) ).
tff(c_6272,plain,
pred('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_6265,c_5372]) ).
tff(c_5363,plain,
sum('#skF_2',n3) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_5341,c_330]) ).
tff(c_6301,plain,
succ('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_6265,c_398]) ).
tff(c_352,plain,
sum(n0,n3) = n3,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_6264,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_354,c_5375,c_5375,c_5390]) ).
tff(c_6266,plain,
sum(sum(pred('#skF_1'),'#skF_1'),sum(n0,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_6265,c_6265,c_6264]) ).
tff(c_6452,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_286,c_6269,c_6277,c_6272,c_5363,c_6272,c_6301,c_352,c_6301,c_6266]) ).
tff(c_6453,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_6262]) ).
tff(c_6455,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_6453]) ).
tff(c_6487,plain,
pred('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_6455,c_364]) ).
tff(c_6489,plain,
succ('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_6455,c_386]) ).
tff(c_6512,plain,
sum(sum(pred('#skF_1'),n2),sum(n0,n9)) != sum(sum(pred('#skF_1'),n9),n2),
inference(demodulation,[status(thm),theory(equality)],[c_6489,c_6489,c_6264]) ).
tff(c_6513,plain,
sum(sum(pred('#skF_1'),n9),n2) != sum(sum(pred('#skF_1'),n2),n9),
inference(demodulation,[status(thm),theory(equality)],[c_340,c_6512]) ).
tff(c_6643,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_142,c_200,c_6487,c_244,c_186,c_6487,c_6513]) ).
tff(c_6644,plain,
( ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_6453]) ).
tff(c_6646,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_6644]) ).
tff(c_6678,plain,
pred('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_6646,c_374]) ).
tff(c_222,plain,
sum(n6,n2) = n8,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_350,plain,
sum(n0,n4) = n4,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_6681,plain,
succ('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_6646,c_396]) ).
tff(c_6699,plain,
sum(sum(pred('#skF_1'),n2),sum(n0,n4)) != sum(sum(pred('#skF_1'),n4),n2),
inference(demodulation,[status(thm),theory(equality)],[c_6681,c_6681,c_6264]) ).
tff(c_6700,plain,
sum(sum(pred('#skF_1'),n4),n2) != sum(sum(pred('#skF_1'),n2),n4),
inference(demodulation,[status(thm),theory(equality)],[c_350,c_6699]) ).
tff(c_6834,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_262,c_310,c_6678,c_222,c_306,c_6678,c_6700]) ).
tff(c_6835,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_6644]) ).
tff(c_6837,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_6835]) ).
tff(c_6872,plain,
succ('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_6837,c_388]) ).
tff(c_6871,plain,
pred('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_6837,c_366]) ).
tff(c_6886,plain,
sum(sum(n6,n2),sum(n0,succ('#skF_1'))) != sum(sum(n6,succ('#skF_1')),n2),
inference(demodulation,[status(thm),theory(equality)],[c_6871,c_6871,c_6264]) ).
tff(c_6887,plain,
sum(sum(n6,succ('#skF_1')),n2) != sum(n8,sum(n0,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_222,c_6886]) ).
tff(c_7025,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166,c_342,c_6872,c_288,c_210,c_6872,c_6887]) ).
tff(c_7026,plain,
( ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_6835]) ).
tff(c_7028,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_7026]) ).
tff(c_7062,plain,
pred('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_7028,c_372]) ).
tff(c_348,plain,
sum(n0,n5) = n5,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_7060,plain,
succ('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_7028,c_394]) ).
tff(c_7077,plain,
sum(sum(pred('#skF_1'),n2),sum(n0,n5)) != sum(sum(pred('#skF_1'),n5),n2),
inference(demodulation,[status(thm),theory(equality)],[c_7060,c_7060,c_6264]) ).
tff(c_7078,plain,
sum(sum(pred('#skF_1'),n5),n2) != sum(sum(pred('#skF_1'),n2),n5),
inference(demodulation,[status(thm),theory(equality)],[c_348,c_7077]) ).
tff(c_7216,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_238,c_288,c_7062,c_178,c_282,c_7062,c_7078]) ).
tff(c_7217,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_7026]) ).
tff(c_7219,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_7217]) ).
tff(c_7253,plain,
pred('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_7219,c_368]) ).
tff(c_5343,plain,
sum(n5,n7) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_5341,c_234]) ).
tff(c_344,plain,
sum(n0,n7) = n7,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_7251,plain,
succ('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_7219,c_390]) ).
tff(c_7268,plain,
sum(sum(pred('#skF_1'),n2),sum(n0,n7)) != sum(sum(pred('#skF_1'),n7),n2),
inference(demodulation,[status(thm),theory(equality)],[c_7251,c_7251,c_6264]) ).
tff(c_7269,plain,
sum(sum(pred('#skF_1'),n7),n2) != sum(sum(pred('#skF_1'),n2),n7),
inference(demodulation,[status(thm),theory(equality)],[c_344,c_7268]) ).
tff(c_7407,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_190,c_244,c_7253,c_5367,c_5343,c_7253,c_7269]) ).
tff(c_7408,plain,
n5 = '#skF_1',
inference(splitRight,[status(thm)],[c_7217]) ).
tff(c_7444,plain,
succ('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_7408,c_392]) ).
tff(c_7443,plain,
pred('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_7408,c_370]) ).
tff(c_7462,plain,
sum(sum(n4,n2),sum(n0,succ('#skF_1'))) != sum(sum(n4,succ('#skF_1')),n2),
inference(demodulation,[status(thm),theory(equality)],[c_7443,c_7443,c_6264]) ).
tff(c_7463,plain,
sum(sum(n4,succ('#skF_1')),n2) != sum(n6,sum(n0,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_266,c_7462]) ).
tff(c_7597,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5345,c_346,c_7444,c_5352,c_258,c_7444,c_7463]) ).
tff(c_7598,plain,
( ( n2 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_5339]) ).
tff(c_7600,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_7598]) ).
tff(c_7616,plain,
sum(n10,n10) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_7600,c_118]) ).
tff(c_7607,plain,
sum('#skF_2','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_7600,c_7600,c_142]) ).
tff(c_7608,plain,
sum(n8,n1) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_7600,c_180]) ).
tff(c_7654,plain,
( ( n10 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' )
| ( n0 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7600,c_116]) ).
tff(c_7655,plain,
n0 = '#skF_1',
inference(splitLeft,[status(thm)],[c_7654]) ).
tff(c_7682,plain,
sum('#skF_1',n7) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_7655,c_344]) ).
tff(c_7672,plain,
sum(n10,n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_7655,c_136]) ).
tff(c_7631,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_7600,c_384]) ).
tff(c_7684,plain,
pred('#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_7655,c_380]) ).
tff(c_7685,plain,
succ('#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_7655,c_402]) ).
tff(c_7632,plain,
pred('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_7600,c_362]) ).
tff(c_7649,plain,
sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n8,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n8,succ('#skF_2'))),
inference(demodulation,[status(thm),theory(equality)],[c_7632,c_7632,c_112]) ).
tff(c_7962,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_7607,c_7608,c_7616,c_7682,c_7672,c_162,c_7631,c_7631,c_7684,c_7684,c_7685,c_7685,c_7649]) ).
tff(c_7963,plain,
( ( n1 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n10 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_7654]) ).
tff(c_8098,plain,
n10 = '#skF_1',
inference(splitLeft,[status(thm)],[c_7963]) ).
tff(c_7628,plain,
sum('#skF_2',n10) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_7600,c_140]) ).
tff(c_8104,plain,
sum('#skF_2','#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_8098,c_7628]) ).
tff(c_7633,plain,
pred(n10) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_7600,c_360]) ).
tff(c_8105,plain,
pred('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_8098,c_7633]) ).
tff(c_7629,plain,
sum('#skF_2',n7) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_7600,c_146]) ).
tff(c_7605,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_7600,c_7600,c_160]) ).
tff(c_8134,plain,
succ('#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_8098,c_382]) ).
tff(c_8097,plain,
sum(sum(pred('#skF_1'),n10),sum(n8,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n7),
inference(demodulation,[status(thm),theory(equality)],[c_162,c_7631,c_7631,c_7649]) ).
tff(c_8099,plain,
sum(sum(pred('#skF_1'),'#skF_1'),sum(n8,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n7),
inference(demodulation,[status(thm),theory(equality)],[c_8098,c_8097]) ).
tff(c_8285,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166,c_8104,c_8105,c_7629,c_7605,c_8105,c_8134,c_182,c_8134,c_8099]) ).
tff(c_8286,plain,
( ( '#skF_2' = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_7963]) ).
tff(c_8288,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_8286]) ).
tff(c_8322,plain,
succ('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_8288,c_400]) ).
tff(c_300,plain,
sum(n2,n7) = n9,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_7610,plain,
sum(n2,n7) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_7600,c_300]) ).
tff(c_8323,plain,
pred('#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_8288,c_378]) ).
tff(c_8341,plain,
sum(sum(n0,n10),sum(n8,succ('#skF_1'))) != sum(sum(n0,succ('#skF_1')),n7),
inference(demodulation,[status(thm),theory(equality)],[c_8323,c_8323,c_8097]) ).
tff(c_8342,plain,
sum(sum(n0,succ('#skF_1')),n7) != sum(n10,sum(n8,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_338,c_8341]) ).
tff(c_8476,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_7616,c_178,c_8322,c_7610,c_354,c_8322,c_8342]) ).
tff(c_8477,plain,
( ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_8286]) ).
tff(c_8479,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_8477]) ).
tff(c_8512,plain,
succ('#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_8479,c_7631]) ).
tff(c_8513,plain,
pred('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_8479,c_7632]) ).
tff(c_8537,plain,
sum(sum(n8,n10),sum(n8,succ('#skF_1'))) != sum(sum(n8,succ('#skF_1')),n7),
inference(demodulation,[status(thm),theory(equality)],[c_8513,c_8513,c_8097]) ).
tff(c_8538,plain,
sum(sum(n8,succ('#skF_1')),n7) != sum(n7,sum(n8,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_162,c_8537]) ).
tff(c_8672,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_190,c_162,c_8512,c_190,c_162,c_8512,c_8538]) ).
tff(c_8673,plain,
( ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_8477]) ).
tff(c_8675,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_8673]) ).
tff(c_8710,plain,
succ('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_8675,c_398]) ).
tff(c_256,plain,
sum(n4,n7) = n0,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_8708,plain,
pred('#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_8675,c_376]) ).
tff(c_8724,plain,
sum(sum(n1,n10),sum(n8,succ('#skF_1'))) != sum(sum(n1,succ('#skF_1')),n7),
inference(demodulation,[status(thm),theory(equality)],[c_8708,c_8708,c_8097]) ).
tff(c_8725,plain,
sum(sum(n1,succ('#skF_1')),n7) != sum(n0,sum(n8,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_316,c_8724]) ).
tff(c_8863,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_176,c_8710,c_256,c_330,c_8710,c_8725]) ).
tff(c_8864,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_8673]) ).
tff(c_8866,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_8864]) ).
tff(c_7624,plain,
sum(n8,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_7600,c_164]) ).
tff(c_8870,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_8866,c_7624]) ).
tff(c_7634,plain,
succ(n8) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_7600,c_386]) ).
tff(c_8874,plain,
succ('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_8866,c_7634]) ).
tff(c_7621,plain,
sum(n7,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_7600,c_186]) ).
tff(c_8901,plain,
pred('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_8866,c_364]) ).
tff(c_184,plain,
sum(n7,n10) = n6,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_8867,plain,
sum(sum(pred('#skF_1'),n10),sum('#skF_1',succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n7),
inference(demodulation,[status(thm),theory(equality)],[c_8866,c_8097]) ).
tff(c_9053,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_8870,c_8874,c_234,c_7621,c_8874,c_8901,c_184,c_8901,c_8867]) ).
tff(c_9054,plain,
( ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_8864]) ).
tff(c_9056,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_9054]) ).
tff(c_9088,plain,
pred('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_9056,c_374]) ).
tff(c_212,plain,
sum(n6,n7) = n2,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_174,plain,
sum(n8,n4) = n1,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_9091,plain,
succ('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_9056,c_396]) ).
tff(c_9109,plain,
sum(sum(pred('#skF_1'),n10),sum(n8,n4)) != sum(sum(pred('#skF_1'),n4),n7),
inference(demodulation,[status(thm),theory(equality)],[c_9091,c_9091,c_8097]) ).
tff(c_9110,plain,
sum(sum(pred('#skF_1'),n4),n7) != sum(sum(pred('#skF_1'),n10),n1),
inference(demodulation,[status(thm),theory(equality)],[c_174,c_9109]) ).
tff(c_9244,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_334,c_294,c_9088,c_212,c_306,c_9088,c_9110]) ).
tff(c_9245,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_9054]) ).
tff(c_9247,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_9245]) ).
tff(c_278,plain,
sum(n3,n7) = n10,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_9265,plain,
sum(n3,'#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_9247,c_278]) ).
tff(c_206,plain,
sum(n6,n10) = n5,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_9282,plain,
pred('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_9247,c_366]) ).
tff(c_9283,plain,
succ('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_9247,c_388]) ).
tff(c_9248,plain,
sum(sum(pred('#skF_1'),n10),sum(n8,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_9247,c_8097]) ).
tff(c_9434,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9265,c_238,c_206,c_9282,c_210,c_9282,c_9283,c_166,c_9283,c_9248]) ).
tff(c_9435,plain,
( ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_9245]) ).
tff(c_9437,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_9435]) ).
tff(c_168,plain,
sum(n8,n7) = n4,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_9464,plain,
sum(n8,n7) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_9437,c_168]) ).
tff(c_9453,plain,
sum(n2,n2) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_9437,c_310]) ).
tff(c_272,plain,
sum(n3,n10) = n2,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_9471,plain,
pred('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_9437,c_372]) ).
tff(c_172,plain,
sum(n8,n5) = n2,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_9469,plain,
succ('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_9437,c_394]) ).
tff(c_9486,plain,
sum(sum(pred('#skF_1'),n10),sum(n8,n5)) != sum(sum(pred('#skF_1'),n5),n7),
inference(demodulation,[status(thm),theory(equality)],[c_9469,c_9469,c_8097]) ).
tff(c_9487,plain,
sum(sum(pred('#skF_1'),n5),n7) != sum(sum(pred('#skF_1'),n10),n2),
inference(demodulation,[status(thm),theory(equality)],[c_172,c_9486]) ).
tff(c_9625,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9464,c_9453,c_272,c_9471,c_282,c_9471,c_9487]) ).
tff(c_9626,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_9435]) ).
tff(c_9628,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_9626]) ).
tff(c_9662,plain,
pred('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_9628,c_368]) ).
tff(c_322,plain,
sum(n1,n7) = n8,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_9660,plain,
succ('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_9628,c_390]) ).
tff(c_9677,plain,
sum(sum(pred('#skF_1'),n10),sum(n8,n7)) != sum(sum(pred('#skF_1'),n7),n7),
inference(demodulation,[status(thm),theory(equality)],[c_9660,c_9660,c_8097]) ).
tff(c_9678,plain,
sum(sum(pred('#skF_1'),n7),n7) != sum(sum(pred('#skF_1'),n10),n4),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_9677]) ).
tff(c_9816,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_262,c_228,c_9662,c_322,c_234,c_9662,c_9678]) ).
tff(c_9817,plain,
n5 = '#skF_1',
inference(splitRight,[status(thm)],[c_9626]) ).
tff(c_9852,plain,
pred('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_9817,c_370]) ).
tff(c_170,plain,
sum(n8,n6) = n3,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_9853,plain,
succ('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_9817,c_392]) ).
tff(c_9867,plain,
sum(sum(pred('#skF_1'),n10),sum(n8,n6)) != sum(sum(pred('#skF_1'),n6),n7),
inference(demodulation,[status(thm),theory(equality)],[c_9853,c_9853,c_8097]) ).
tff(c_9868,plain,
sum(sum(pred('#skF_1'),n6),n7) != sum(sum(pred('#skF_1'),n10),n3),
inference(demodulation,[status(thm),theory(equality)],[c_170,c_9867]) ).
tff(c_10006,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_286,c_250,c_9852,c_124,c_258,c_9852,c_9868]) ).
tff(c_10007,plain,
( ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_7598]) ).
tff(c_10009,plain,
n2 = '#skF_2',
inference(splitLeft,[status(thm)],[c_10007]) ).
tff(c_10020,plain,
sum(n1,n1) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_10009,c_334]) ).
tff(c_10015,plain,
sum('#skF_2','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_10009,c_10009,c_310]) ).
tff(c_10011,plain,
sum(n10,n3) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_10009,c_132]) ).
tff(c_10058,plain,
( ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n1 = '#skF_1' )
| ( n0 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10009,c_116]) ).
tff(c_10059,plain,
n0 = '#skF_1',
inference(splitLeft,[status(thm)],[c_10058]) ).
tff(c_10062,plain,
sum('#skF_1',n4) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_10059,c_350]) ).
tff(c_10077,plain,
sum(n10,n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_10059,c_136]) ).
tff(c_10041,plain,
pred('#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_10009,c_376]) ).
tff(c_10043,plain,
succ('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_10009,c_398]) ).
tff(c_10088,plain,
pred('#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_10059,c_380]) ).
tff(c_10089,plain,
succ('#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_10059,c_402]) ).
tff(c_10105,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_10089,c_10089,c_112]) ).
tff(c_10371,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10015,c_10020,c_10011,c_10062,c_10077,c_330,c_10041,c_10041,c_10043,c_10043,c_10088,c_10088,c_10105]) ).
tff(c_10372,plain,
( ( n1 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_10058]) ).
tff(c_10512,plain,
n10 = '#skF_1',
inference(splitLeft,[status(thm)],[c_10372]) ).
tff(c_10547,plain,
succ('#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_10512,c_382]) ).
tff(c_10034,plain,
sum(n9,n4) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_10009,c_152]) ).
tff(c_10546,plain,
pred('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_10512,c_360]) ).
tff(c_10378,plain,
sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n1,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n1,succ('#skF_2'))),
inference(demodulation,[status(thm),theory(equality)],[c_10041,c_10041,c_112]) ).
tff(c_10511,plain,
sum(sum(pred('#skF_1'),n3),sum(n1,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n4),
inference(demodulation,[status(thm),theory(equality)],[c_330,c_10043,c_10043,c_10378]) ).
tff(c_10561,plain,
sum(sum(n9,n3),sum(n1,succ('#skF_1'))) != sum(sum(n9,succ('#skF_1')),n4),
inference(demodulation,[status(thm),theory(equality)],[c_10546,c_10546,c_10511]) ).
tff(c_10562,plain,
sum(sum(n9,succ('#skF_1')),n4) != sum(n1,sum(n1,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_154,c_10561]) ).
tff(c_10700,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10020,c_336,c_10547,c_10034,c_160,c_10547,c_10562]) ).
tff(c_10701,plain,
( ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n1 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_10372]) ).
tff(c_10703,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_10701]) ).
tff(c_10038,plain,
sum(n1,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_10009,c_332]) ).
tff(c_10708,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_10703,c_10038]) ).
tff(c_10042,plain,
succ(n1) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_10009,c_400]) ).
tff(c_10711,plain,
succ('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_10703,c_10042]) ).
tff(c_10036,plain,
sum('#skF_2',n4) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_10009,c_306]) ).
tff(c_10030,plain,
sum(n0,'#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_10009,c_10009,c_354]) ).
tff(c_10739,plain,
pred('#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_10703,c_378]) ).
tff(c_10704,plain,
sum(sum(pred('#skF_1'),n3),sum('#skF_1',succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n4),
inference(demodulation,[status(thm),theory(equality)],[c_10703,c_10511]) ).
tff(c_10890,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_286,c_10708,c_10711,c_10036,c_10030,c_10711,c_10739,c_352,c_10739,c_10704]) ).
tff(c_10891,plain,
( ( '#skF_2' = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_10701]) ).
tff(c_10893,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_10891]) ).
tff(c_10925,plain,
succ('#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_10893,c_384]) ).
tff(c_196,plain,
sum(n7,n4) = n0,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_10926,plain,
pred('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_10893,c_362]) ).
tff(c_10942,plain,
sum(sum(n8,n3),sum(n1,succ('#skF_1'))) != sum(sum(n8,succ('#skF_1')),n4),
inference(demodulation,[status(thm),theory(equality)],[c_10926,c_10926,c_10511]) ).
tff(c_10943,plain,
sum(sum(n8,succ('#skF_1')),n4) != sum(n0,sum(n1,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_176,c_10942]) ).
tff(c_11081,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_316,c_10925,c_196,c_162,c_10925,c_10943]) ).
tff(c_11082,plain,
( ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_10891]) ).
tff(c_11084,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_11082]) ).
tff(c_11116,plain,
succ('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_11084,c_10043]) ).
tff(c_11138,plain,
sum(sum(pred('#skF_1'),n3),sum(n1,n3)) != sum(sum(pred('#skF_1'),n3),n4),
inference(demodulation,[status(thm),theory(equality)],[c_11116,c_11116,c_10511]) ).
tff(c_11141,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_330,c_11138]) ).
tff(c_11142,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_11082]) ).
tff(c_11144,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_11142]) ).
tff(c_11176,plain,
pred('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_11144,c_364]) ).
tff(c_240,plain,
sum(n5,n4) = n9,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_11178,plain,
succ('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_11144,c_386]) ).
tff(c_11201,plain,
sum(sum(pred('#skF_1'),n3),sum(n1,n9)) != sum(sum(pred('#skF_1'),n9),n4),
inference(demodulation,[status(thm),theory(equality)],[c_11178,c_11178,c_10511]) ).
tff(c_11202,plain,
sum(sum(pred('#skF_1'),n9),n4) != sum(sum(pred('#skF_1'),n3),n10),
inference(demodulation,[status(thm),theory(equality)],[c_318,c_11201]) ).
tff(c_11332,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_118,c_198,c_11176,c_240,c_186,c_11176,c_11202]) ).
tff(c_11333,plain,
( ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_11142]) ).
tff(c_11335,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_11333]) ).
tff(c_308,plain,
sum(n2,n3) = n5,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_10010,plain,
sum('#skF_2',n3) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_10009,c_308]) ).
tff(c_11337,plain,
sum('#skF_2','#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_11335,c_10010]) ).
tff(c_10040,plain,
pred(n3) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_10009,c_374]) ).
tff(c_11343,plain,
pred('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_11335,c_10040]) ).
tff(c_218,plain,
sum(n6,n4) = n10,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_11371,plain,
succ('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_11335,c_396]) ).
tff(c_328,plain,
sum(n1,n4) = n5,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_11336,plain,
sum(sum(pred('#skF_1'),'#skF_1'),sum(n1,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n4),
inference(demodulation,[status(thm),theory(equality)],[c_11335,c_10511]) ).
tff(c_11522,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_238,c_11337,c_11343,c_218,c_10036,c_11343,c_11371,c_328,c_11371,c_11336]) ).
tff(c_11523,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_11333]) ).
tff(c_11525,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_11523]) ).
tff(c_284,plain,
sum(n3,n4) = n7,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_11535,plain,
sum(n3,n4) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_11525,c_284]) ).
tff(c_11534,plain,
sum(n9,n9) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_11525,c_142]) ).
tff(c_220,plain,
sum(n6,n3) = n9,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_11559,plain,
pred('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_11525,c_366]) ).
tff(c_320,plain,
sum(n1,n8) = n9,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_11560,plain,
succ('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_11525,c_388]) ).
tff(c_11578,plain,
sum(sum(pred('#skF_1'),n3),sum(n1,n8)) != sum(sum(pred('#skF_1'),n8),n4),
inference(demodulation,[status(thm),theory(equality)],[c_11560,c_11560,c_10511]) ).
tff(c_11579,plain,
sum(sum(pred('#skF_1'),n8),n4) != sum(sum(pred('#skF_1'),n3),n9),
inference(demodulation,[status(thm),theory(equality)],[c_320,c_11578]) ).
tff(c_11713,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11535,c_11534,c_220,c_11559,c_210,c_11559,c_11579]) ).
tff(c_11714,plain,
( ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_11523]) ).
tff(c_11716,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_11714]) ).
tff(c_11732,plain,
sum(n8,'#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_11716,c_174]) ).
tff(c_326,plain,
sum(n1,n5) = n6,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_11749,plain,
succ('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_11716,c_394]) ).
tff(c_11751,plain,
pred('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_11716,c_372]) ).
tff(c_11717,plain,
sum(sum(pred('#skF_1'),n3),sum(n1,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_11716,c_10511]) ).
tff(c_11903,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11732,c_214,c_326,c_11749,c_282,c_11749,c_11751,c_286,c_11751,c_11717]) ).
tff(c_11904,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_11714]) ).
tff(c_11906,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_11904]) ).
tff(c_11940,plain,
pred('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_11906,c_368]) ).
tff(c_11938,plain,
succ('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_11906,c_390]) ).
tff(c_11955,plain,
sum(sum(pred('#skF_1'),n3),sum(n1,n7)) != sum(sum(pred('#skF_1'),n7),n4),
inference(demodulation,[status(thm),theory(equality)],[c_11938,c_11938,c_10511]) ).
tff(c_11956,plain,
sum(sum(pred('#skF_1'),n7),n4) != sum(sum(pred('#skF_1'),n3),n8),
inference(demodulation,[status(thm),theory(equality)],[c_322,c_11955]) ).
tff(c_12094,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166,c_242,c_11940,c_328,c_234,c_11940,c_11956]) ).
tff(c_12095,plain,
n5 = '#skF_1',
inference(splitRight,[status(thm)],[c_11904]) ).
tff(c_12131,plain,
succ('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_12095,c_392]) ).
tff(c_264,plain,
sum(n4,n3) = n7,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_12130,plain,
pred('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_12095,c_370]) ).
tff(c_12149,plain,
sum(sum(n4,n3),sum(n1,succ('#skF_1'))) != sum(sum(n4,succ('#skF_1')),n4),
inference(demodulation,[status(thm),theory(equality)],[c_12130,c_12130,c_10511]) ).
tff(c_12150,plain,
sum(sum(n4,succ('#skF_1')),n4) != sum(n7,sum(n1,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_264,c_12149]) ).
tff(c_12284,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_190,c_324,c_12131,c_130,c_258,c_12131,c_12150]) ).
tff(c_12285,plain,
( ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_10007]) ).
tff(c_12287,plain,
n8 = '#skF_2',
inference(splitLeft,[status(thm)],[c_12285]) ).
tff(c_12297,plain,
sum('#skF_2',n5) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_12287,c_172]) ).
tff(c_12291,plain,
sum(n3,n5) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_12287,c_282]) ).
tff(c_12317,plain,
sum(n4,n4) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_12287,c_262]) ).
tff(c_216,plain,
sum(n6,n5) = n0,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_304,plain,
sum(n2,n5) = n7,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_12345,plain,
( ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' )
| ( n0 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12287,c_116]) ).
tff(c_12346,plain,
n0 = '#skF_1',
inference(splitLeft,[status(thm)],[c_12345]) ).
tff(c_12356,plain,
sum('#skF_1',n5) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_12346,c_348]) ).
tff(c_12364,plain,
sum(n10,n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_12346,c_136]) ).
tff(c_12311,plain,
sum('#skF_2','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_12287,c_12287,c_166]) ).
tff(c_12306,plain,
sum(n7,n1) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_12287,c_202]) ).
tff(c_12288,plain,
sum(n10,n9) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_12287,c_120]) ).
tff(c_12376,plain,
succ('#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_12346,c_402]) ).
tff(c_12375,plain,
pred('#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_12346,c_380]) ).
tff(c_12320,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_12287,c_386]) ).
tff(c_12318,plain,
pred('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_12287,c_364]) ).
tff(c_12336,plain,
sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n7,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n7,succ('#skF_2'))),
inference(demodulation,[status(thm),theory(equality)],[c_12318,c_12318,c_112]) ).
tff(c_12649,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12356,c_12364,c_12311,c_12306,c_12288,c_12376,c_12376,c_12375,c_12375,c_186,c_12320,c_12320,c_12336]) ).
tff(c_12650,plain,
( ( n1 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_12345]) ).
tff(c_12781,plain,
n10 = '#skF_1',
inference(splitLeft,[status(thm)],[c_12650]) ).
tff(c_12816,plain,
succ('#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_12781,c_382]) ).
tff(c_12815,plain,
pred('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_12781,c_360]) ).
tff(c_12780,plain,
sum(sum(pred('#skF_1'),n9),sum(n7,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n5),
inference(demodulation,[status(thm),theory(equality)],[c_186,c_12320,c_12320,c_12336]) ).
tff(c_12830,plain,
sum(sum(n9,n9),sum(n7,succ('#skF_1'))) != sum(sum(n9,succ('#skF_1')),n5),
inference(demodulation,[status(thm),theory(equality)],[c_12815,c_12815,c_12780]) ).
tff(c_12831,plain,
sum(sum(n9,succ('#skF_1')),n5) != sum(n7,sum(n7,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_142,c_12830]) ).
tff(c_12969,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_190,c_204,c_12816,c_150,c_160,c_12816,c_12831]) ).
tff(c_12970,plain,
( ( n9 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_12650]) ).
tff(c_12972,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_12970]) ).
tff(c_13007,plain,
pred('#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_12972,c_378]) ).
tff(c_13006,plain,
succ('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_12972,c_400]) ).
tff(c_13021,plain,
sum(sum(pred('#skF_1'),n9),sum(n7,n2)) != sum(sum(pred('#skF_1'),n2),n5),
inference(demodulation,[status(thm),theory(equality)],[c_13006,c_13006,c_12780]) ).
tff(c_13022,plain,
sum(sum(pred('#skF_1'),n9),n9) != sum(sum(pred('#skF_1'),n2),n5),
inference(demodulation,[status(thm),theory(equality)],[c_200,c_13021]) ).
tff(c_13160,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_304,c_354,c_13007,c_142,c_340,c_13007,c_13022]) ).
tff(c_13161,plain,
( ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_12970]) ).
tff(c_13163,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_13161]) ).
tff(c_12312,plain,
sum('#skF_2',n9) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_12287,c_164]) ).
tff(c_13168,plain,
sum('#skF_2','#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_13163,c_12312]) ).
tff(c_12319,plain,
pred(n9) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_12287,c_362]) ).
tff(c_13171,plain,
pred('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_13163,c_12319]) ).
tff(c_194,plain,
sum(n7,n5) = n1,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_12292,plain,
sum('#skF_2',n10) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_12287,c_162]) ).
tff(c_13198,plain,
succ('#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_13163,c_384]) ).
tff(c_13164,plain,
sum(sum(pred('#skF_1'),'#skF_1'),sum(n7,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n5),
inference(demodulation,[status(thm),theory(equality)],[c_13163,c_12780]) ).
tff(c_13350,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_13168,c_13171,c_194,c_12292,c_13171,c_13198,c_184,c_13198,c_13164]) ).
tff(c_13351,plain,
( ( '#skF_2' = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_13161]) ).
tff(c_13353,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_13351]) ).
tff(c_13388,plain,
succ('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_13353,c_398]) ).
tff(c_260,plain,
sum(n4,n5) = n9,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_13386,plain,
pred('#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_13353,c_376]) ).
tff(c_13402,plain,
sum(sum(n1,n9),sum(n7,succ('#skF_1'))) != sum(sum(n1,succ('#skF_1')),n5),
inference(demodulation,[status(thm),theory(equality)],[c_13386,c_13386,c_12780]) ).
tff(c_13403,plain,
sum(sum(n1,succ('#skF_1')),n5) != sum(n10,sum(n7,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_318,c_13402]) ).
tff(c_13541,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_118,c_198,c_13388,c_260,c_330,c_13388,c_13403]) ).
tff(c_13542,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_13351]) ).
tff(c_13544,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_13542]) ).
tff(c_13577,plain,
succ('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_13544,c_12320]) ).
tff(c_13602,plain,
sum(sum(pred('#skF_1'),n9),sum(n7,n9)) != sum(sum(pred('#skF_1'),n9),n5),
inference(demodulation,[status(thm),theory(equality)],[c_13577,c_13577,c_12780]) ).
tff(c_13605,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_186,c_13602]) ).
tff(c_13606,plain,
( ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_13542]) ).
tff(c_13608,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_13606]) ).
tff(c_13640,plain,
pred('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_13608,c_374]) ).
tff(c_13643,plain,
succ('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_13608,c_396]) ).
tff(c_13661,plain,
sum(sum(pred('#skF_1'),n9),sum(n7,n4)) != sum(sum(pred('#skF_1'),n4),n5),
inference(demodulation,[status(thm),theory(equality)],[c_13643,c_13643,c_12780]) ).
tff(c_13662,plain,
sum(sum(pred('#skF_1'),n9),n0) != sum(sum(pred('#skF_1'),n4),n5),
inference(demodulation,[status(thm),theory(equality)],[c_196,c_13661]) ).
tff(c_13796,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_216,c_306,c_13640,c_358,c_296,c_13640,c_13662]) ).
tff(c_13797,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_13606]) ).
tff(c_13799,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_13797]) ).
tff(c_188,plain,
sum(n7,n8) = n4,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_12307,plain,
sum(n7,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_12287,c_188]) ).
tff(c_13802,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_13799,c_12307]) ).
tff(c_12321,plain,
succ(n7) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_12287,c_388]) ).
tff(c_13807,plain,
succ('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_13799,c_12321]) ).
tff(c_12308,plain,
sum(n6,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_12287,c_210]) ).
tff(c_13835,plain,
pred('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_13799,c_366]) ).
tff(c_13800,plain,
sum(sum(pred('#skF_1'),n9),sum('#skF_1',succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n5),
inference(demodulation,[status(thm),theory(equality)],[c_13799,c_12780]) ).
tff(c_13986,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12317,c_13802,c_13807,c_12291,c_12308,c_13807,c_13835,c_208,c_13835,c_13800]) ).
tff(c_13987,plain,
( ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_13797]) ).
tff(c_13989,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_13987]) ).
tff(c_14023,plain,
pred('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_13989,c_372]) ).
tff(c_14021,plain,
succ('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_13989,c_394]) ).
tff(c_14038,plain,
sum(sum(pred('#skF_1'),n9),sum(n7,n5)) != sum(sum(pred('#skF_1'),n5),n5),
inference(demodulation,[status(thm),theory(equality)],[c_14021,c_14021,c_12780]) ).
tff(c_14039,plain,
sum(sum(pred('#skF_1'),n9),n1) != sum(sum(pred('#skF_1'),n5),n5),
inference(demodulation,[status(thm),theory(equality)],[c_194,c_14038]) ).
tff(c_14177,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12297,c_12291,c_14023,c_334,c_274,c_14023,c_14039]) ).
tff(c_14178,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_13987]) ).
tff(c_14180,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_14178]) ).
tff(c_14199,plain,
sum(n3,n3) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_14180,c_286]) ).
tff(c_14194,plain,
sum(n1,n5) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_14180,c_326]) ).
tff(c_14214,plain,
pred('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_14180,c_368]) ).
tff(c_14212,plain,
succ('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_14180,c_390]) ).
tff(c_14229,plain,
sum(sum(pred('#skF_1'),n9),sum(n7,n7)) != sum(sum(pred('#skF_1'),n7),n5),
inference(demodulation,[status(thm),theory(equality)],[c_14212,c_14212,c_12780]) ).
tff(c_14230,plain,
sum(sum(pred('#skF_1'),n9),n3) != sum(sum(pred('#skF_1'),n7),n5),
inference(demodulation,[status(thm),theory(equality)],[c_190,c_14229]) ).
tff(c_14368,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14199,c_14194,c_234,c_14214,c_230,c_14214,c_14230]) ).
tff(c_14369,plain,
n5 = '#skF_1',
inference(splitRight,[status(thm)],[c_14178]) ).
tff(c_14396,plain,
sum(n10,'#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_14369,c_128]) ).
tff(c_14405,plain,
pred('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_14369,c_370]) ).
tff(c_14406,plain,
succ('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_14369,c_392]) ).
tff(c_192,plain,
sum(n7,n6) = n2,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_14371,plain,
sum(sum(pred('#skF_1'),n9),sum(n7,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_14369,c_12780]) ).
tff(c_14557,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14396,c_258,c_14405,c_310,c_252,c_14405,c_14406,c_192,c_14406,c_14371]) ).
tff(c_14558,plain,
( ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_12285]) ).
tff(c_14560,plain,
n3 = '#skF_2',
inference(splitLeft,[status(thm)],[c_14558]) ).
tff(c_14580,plain,
sum(n7,n7) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_14560,c_190]) ).
tff(c_14572,plain,
sum('#skF_2','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_14560,c_14560,c_286]) ).
tff(c_14590,plain,
sum(n2,n1) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_14560,c_312]) ).
tff(c_14574,plain,
sum(n10,n4) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_14560,c_130]) ).
tff(c_14614,plain,
( ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' )
| ( n0 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14560,c_116]) ).
tff(c_14615,plain,
n0 = '#skF_1',
inference(splitLeft,[status(thm)],[c_14614]) ).
tff(c_14639,plain,
sum('#skF_1',n6) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_14615,c_346]) ).
tff(c_14632,plain,
sum(n10,n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_14615,c_136]) ).
tff(c_14644,plain,
pred('#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_14615,c_380]) ).
tff(c_14594,plain,
succ('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_14560,c_396]) ).
tff(c_14645,plain,
succ('#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_14615,c_402]) ).
tff(c_14591,plain,
pred('#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_14560,c_374]) ).
tff(c_14609,plain,
sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n2,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n2,succ('#skF_2'))),
inference(demodulation,[status(thm),theory(equality)],[c_14591,c_14591,c_112]) ).
tff(c_14922,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14572,c_14590,c_14574,c_14639,c_14632,c_14644,c_14644,c_306,c_14594,c_14594,c_14645,c_14645,c_14609]) ).
tff(c_14923,plain,
( ( n1 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_14614]) ).
tff(c_15058,plain,
n10 = '#skF_1',
inference(splitLeft,[status(thm)],[c_14923]) ).
tff(c_15093,plain,
succ('#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_15058,c_382]) ).
tff(c_15092,plain,
pred('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_15058,c_360]) ).
tff(c_15057,plain,
sum(sum(pred('#skF_1'),n4),sum(n2,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n6),
inference(demodulation,[status(thm),theory(equality)],[c_306,c_14594,c_14594,c_14609]) ).
tff(c_15107,plain,
sum(sum(n9,n4),sum(n2,succ('#skF_1'))) != sum(sum(n9,succ('#skF_1')),n6),
inference(demodulation,[status(thm),theory(equality)],[c_15092,c_15092,c_15057]) ).
tff(c_15108,plain,
sum(sum(n9,succ('#skF_1')),n6) != sum(n2,sum(n2,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_152,c_15107]) ).
tff(c_15246,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_310,c_314,c_15093,c_148,c_160,c_15093,c_15108]) ).
tff(c_15247,plain,
( ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_14923]) ).
tff(c_15249,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_15247]) ).
tff(c_15283,plain,
succ('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_15249,c_400]) ).
tff(c_302,plain,
sum(n2,n6) = n8,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_15284,plain,
pred('#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_15249,c_378]) ).
tff(c_15302,plain,
sum(sum(n0,n4),sum(n2,succ('#skF_1'))) != sum(sum(n0,succ('#skF_1')),n6),
inference(demodulation,[status(thm),theory(equality)],[c_15284,c_15284,c_15057]) ).
tff(c_15303,plain,
sum(sum(n0,succ('#skF_1')),n6) != sum(n4,sum(n2,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_350,c_15302]) ).
tff(c_15437,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_262,c_310,c_15283,c_302,c_354,c_15283,c_15303]) ).
tff(c_15438,plain,
( ( n2 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_15247]) ).
tff(c_15440,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_15438]) ).
tff(c_15472,plain,
succ('#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_15440,c_384]) ).
tff(c_15473,plain,
pred('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_15440,c_362]) ).
tff(c_15489,plain,
sum(sum(n8,n4),sum(n2,succ('#skF_1'))) != sum(sum(n8,succ('#skF_1')),n6),
inference(demodulation,[status(thm),theory(equality)],[c_15473,c_15473,c_15057]) ).
tff(c_15490,plain,
sum(sum(n8,succ('#skF_1')),n6) != sum(n1,sum(n2,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_174,c_15489]) ).
tff(c_15628,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_334,c_294,c_15472,c_192,c_162,c_15472,c_15490]) ).
tff(c_15629,plain,
( ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n2 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_15438]) ).
tff(c_15631,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_15629]) ).
tff(c_14561,plain,
sum(n2,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_14560,c_308]) ).
tff(c_15633,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_15631,c_14561]) ).
tff(c_14593,plain,
succ(n2) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_14560,c_398]) ).
tff(c_15639,plain,
succ('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_15631,c_14593]) ).
tff(c_14582,plain,
sum(n1,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_14560,c_330]) ).
tff(c_15666,plain,
pred('#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_15631,c_376]) ).
tff(c_15632,plain,
sum(sum(pred('#skF_1'),n4),sum('#skF_1',succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n6),
inference(demodulation,[status(thm),theory(equality)],[c_15631,c_15057]) ).
tff(c_15818,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_238,c_15633,c_15639,c_258,c_14582,c_15639,c_15666,c_328,c_15666,c_15632]) ).
tff(c_15819,plain,
( ( '#skF_2' = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_15629]) ).
tff(c_15821,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_15819]) ).
tff(c_15853,plain,
pred('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_15821,c_364]) ).
tff(c_236,plain,
sum(n5,n6) = n0,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_15855,plain,
succ('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_15821,c_386]) ).
tff(c_15870,plain,
sum(sum(pred('#skF_1'),n4),sum(n2,n9)) != sum(sum(pred('#skF_1'),n9),n6),
inference(demodulation,[status(thm),theory(equality)],[c_15855,c_15855,c_15057]) ).
tff(c_15871,plain,
sum(sum(pred('#skF_1'),n9),n6) != sum(sum(pred('#skF_1'),n4),n0),
inference(demodulation,[status(thm),theory(equality)],[c_296,c_15870]) ).
tff(c_16009,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_196,c_15853,c_236,c_186,c_15853,c_15871]) ).
tff(c_16010,plain,
( ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_15819]) ).
tff(c_16012,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_16010]) ).
tff(c_16044,plain,
succ('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_16012,c_14594]) ).
tff(c_16066,plain,
sum(sum(pred('#skF_1'),n4),sum(n2,n4)) != sum(sum(pred('#skF_1'),n4),n6),
inference(demodulation,[status(thm),theory(equality)],[c_16044,c_16044,c_15057]) ).
tff(c_16069,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_306,c_16066]) ).
tff(c_16070,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_16010]) ).
tff(c_16072,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_16070]) ).
tff(c_16106,plain,
pred('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_16072,c_366]) ).
tff(c_280,plain,
sum(n3,n6) = n9,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_14581,plain,
sum('#skF_2',n6) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_14560,c_280]) ).
tff(c_14583,plain,
sum(n6,n8) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_14560,c_210]) ).
tff(c_298,plain,
sum(n2,n8) = n10,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_16107,plain,
succ('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_16072,c_388]) ).
tff(c_16125,plain,
sum(sum(pred('#skF_1'),n4),sum(n2,n8)) != sum(sum(pred('#skF_1'),n8),n6),
inference(demodulation,[status(thm),theory(equality)],[c_16107,c_16107,c_15057]) ).
tff(c_16126,plain,
sum(sum(pred('#skF_1'),n8),n6) != sum(sum(pred('#skF_1'),n4),n10),
inference(demodulation,[status(thm),theory(equality)],[c_298,c_16125]) ).
tff(c_16260,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_118,c_218,c_16106,c_14581,c_14583,c_16106,c_16126]) ).
tff(c_16261,plain,
( ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_16070]) ).
tff(c_16263,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_16261]) ).
tff(c_14566,plain,
sum('#skF_2',n4) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_14560,c_284]) ).
tff(c_16270,plain,
sum('#skF_2','#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_16263,c_14566]) ).
tff(c_14592,plain,
pred(n4) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_14560,c_372]) ).
tff(c_16271,plain,
pred('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_16263,c_14592]) ).
tff(c_14584,plain,
sum(n8,n6) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_14560,c_170]) ).
tff(c_14565,plain,
sum('#skF_2',n5) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_14560,c_282]) ).
tff(c_16298,plain,
succ('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_16263,c_394]) ).
tff(c_16264,plain,
sum(sum(pred('#skF_1'),'#skF_1'),sum(n2,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n6),
inference(demodulation,[status(thm),theory(equality)],[c_16263,c_15057]) ).
tff(c_16450,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14580,c_16270,c_16271,c_14584,c_14565,c_16271,c_16298,c_304,c_16298,c_16264]) ).
tff(c_16451,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_16261]) ).
tff(c_16453,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_16451]) ).
tff(c_16485,plain,
sum(n1,'#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_16453,c_324]) ).
tff(c_16488,plain,
pred('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_16453,c_368]) ).
tff(c_16486,plain,
succ('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_16453,c_390]) ).
tff(c_16454,plain,
sum(sum(pred('#skF_1'),n4),sum(n2,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_16453,c_15057]) ).
tff(c_16640,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16485,c_142,c_240,c_16488,c_234,c_16488,c_16486,c_300,c_16486,c_16454]) ).
tff(c_16641,plain,
n5 = '#skF_1',
inference(splitRight,[status(thm)],[c_16451]) ).
tff(c_16662,plain,
sum(n10,n6) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_16641,c_126]) ).
tff(c_16669,plain,
sum(n8,n8) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_16641,c_166]) ).
tff(c_16676,plain,
pred('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_16641,c_370]) ).
tff(c_16677,plain,
succ('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_16641,c_392]) ).
tff(c_16691,plain,
sum(sum(pred('#skF_1'),n4),sum(n2,n6)) != sum(sum(pred('#skF_1'),n6),n6),
inference(demodulation,[status(thm),theory(equality)],[c_16677,c_16677,c_15057]) ).
tff(c_16692,plain,
sum(sum(pred('#skF_1'),n6),n6) != sum(sum(pred('#skF_1'),n4),n8),
inference(demodulation,[status(thm),theory(equality)],[c_302,c_16691]) ).
tff(c_16830,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16662,c_16669,c_262,c_16676,c_258,c_16676,c_16692]) ).
tff(c_16831,plain,
( ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_14558]) ).
tff(c_16833,plain,
n7 = '#skF_2',
inference(splitLeft,[status(thm)],[c_16831]) ).
tff(c_16835,plain,
sum(n9,n9) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_16833,c_142]) ).
tff(c_16849,plain,
sum('#skF_2',n3) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_16833,c_198]) ).
tff(c_16837,plain,
sum(n8,n10) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_16833,c_162]) ).
tff(c_16853,plain,
sum('#skF_2','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_16833,c_16833,c_190]) ).
tff(c_16844,plain,
sum(n10,n8) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_16833,c_122]) ).
tff(c_16860,plain,
sum(n6,n1) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_16833,c_224]) ).
tff(c_16886,plain,
( ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' )
| ( n0 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16833,c_116]) ).
tff(c_16887,plain,
n0 = '#skF_1',
inference(splitLeft,[status(thm)],[c_16886]) ).
tff(c_16904,plain,
sum('#skF_1',n3) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_16887,c_352]) ).
tff(c_16907,plain,
sum(n10,n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_16887,c_136]) ).
tff(c_16916,plain,
pred('#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_16887,c_380]) ).
tff(c_16867,plain,
succ('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_16833,c_388]) ).
tff(c_16866,plain,
pred('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_16833,c_366]) ).
tff(c_16917,plain,
succ('#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_16887,c_402]) ).
tff(c_16941,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_16917,c_16917,c_112]) ).
tff(c_17195,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16853,c_16844,c_16860,c_16904,c_16907,c_16916,c_16916,c_210,c_16867,c_16867,c_16866,c_16866,c_16941]) ).
tff(c_17196,plain,
( ( n1 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_16886]) ).
tff(c_17331,plain,
n10 = '#skF_1',
inference(splitLeft,[status(thm)],[c_17196]) ).
tff(c_17366,plain,
succ('#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_17331,c_382]) ).
tff(c_17365,plain,
pred('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_17331,c_360]) ).
tff(c_17198,plain,
sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n6,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n6,succ('#skF_2'))),
inference(demodulation,[status(thm),theory(equality)],[c_16866,c_16866,c_112]) ).
tff(c_17493,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_226,c_17366,c_154,c_160,c_17366,c_17365,c_144,c_17365,c_210,c_16867,c_16867,c_17198]) ).
tff(c_17494,plain,
( ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_17196]) ).
tff(c_17496,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_17494]) ).
tff(c_17531,plain,
pred('#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_17496,c_378]) ).
tff(c_17530,plain,
succ('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_17496,c_400]) ).
tff(c_17658,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_308,c_354,c_17531,c_166,c_342,c_17531,c_17530,c_222,c_17530,c_210,c_16867,c_16867,c_17198]) ).
tff(c_17659,plain,
( ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_17494]) ).
tff(c_17661,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_17659]) ).
tff(c_17694,plain,
pred('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_17661,c_362]) ).
tff(c_17693,plain,
succ('#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_17661,c_384]) ).
tff(c_17827,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16849,c_16837,c_17694,c_238,c_166,c_17694,c_17693,c_206,c_17693,c_210,c_16867,c_16867,c_17198]) ).
tff(c_17828,plain,
( ( n8 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_17659]) ).
tff(c_17830,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_17828]) ).
tff(c_17865,plain,
succ('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_17830,c_398]) ).
tff(c_16842,plain,
sum(n4,n3) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_16833,c_264]) ).
tff(c_17863,plain,
pred('#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_17830,c_376]) ).
tff(c_18000,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16835,c_220,c_17865,c_16842,c_330,c_17865,c_17863,c_320,c_17863,c_210,c_16867,c_16867,c_17198]) ).
tff(c_18001,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_17828]) ).
tff(c_18003,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_18001]) ).
tff(c_18036,plain,
sum(n4,n4) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_18003,c_262]) ).
tff(c_16854,plain,
sum('#skF_2',n8) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_16833,c_188]) ).
tff(c_18007,plain,
sum('#skF_2','#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_18003,c_16854]) ).
tff(c_18027,plain,
sum(n5,n3) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_18003,c_242]) ).
tff(c_18028,plain,
sum(n6,'#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_18003,c_210]) ).
tff(c_16865,plain,
pred(n8) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_16833,c_364]) ).
tff(c_18011,plain,
pred('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_18003,c_16865]) ).
tff(c_16855,plain,
sum('#skF_2',n9) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_16833,c_186]) ).
tff(c_18010,plain,
succ('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_18003,c_16867]) ).
tff(c_18038,plain,
succ('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_18003,c_386]) ).
tff(c_18177,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18036,c_18007,c_18027,c_18028,c_18011,c_16855,c_18011,c_18010,c_18010,c_18038,c_208,c_18038,c_17198]) ).
tff(c_18178,plain,
( ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_18001]) ).
tff(c_18180,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_18178]) ).
tff(c_18207,plain,
sum(n6,'#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_18180,c_220]) ).
tff(c_18204,plain,
sum(n6,n8) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_18180,c_210]) ).
tff(c_18215,plain,
succ('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_18180,c_396]) ).
tff(c_18212,plain,
pred('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_18180,c_374]) ).
tff(c_18358,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18207,c_18204,c_118,c_218,c_18215,c_306,c_18215,c_298,c_18212,c_18212,c_16867,c_16867,c_17198]) ).
tff(c_18359,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_18178]) ).
tff(c_18361,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_18359]) ).
tff(c_18424,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18361,c_18361,c_17198]) ).
tff(c_18425,plain,
( ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_18359]) ).
tff(c_18427,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_18425]) ).
tff(c_18461,plain,
pred('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_18427,c_372]) ).
tff(c_18459,plain,
succ('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_18427,c_394]) ).
tff(c_18613,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_176,c_282,c_18461,c_358,c_276,c_18461,c_18459,c_216,c_18459,c_210,c_16867,c_16867,c_17198]) ).
tff(c_18614,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_18425]) ).
tff(c_18616,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_18614]) ).
tff(c_16841,plain,
sum(n6,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_16833,c_212]) ).
tff(c_18617,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_18616,c_16841]) ).
tff(c_18641,plain,
sum('#skF_1',n8) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_18616,c_210]) ).
tff(c_16864,plain,
succ(n6) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_16833,c_390]) ).
tff(c_18623,plain,
succ('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_18616,c_16864]) ).
tff(c_16834,plain,
sum(n5,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_16833,c_234]) ).
tff(c_232,plain,
sum(n5,n8) = n2,
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_18650,plain,
pred('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_18616,c_368]) ).
tff(c_18802,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_310,c_18617,c_330,c_18641,c_18623,c_16834,c_18623,c_232,c_18650,c_18650,c_18616,c_18616,c_16867,c_16867,c_17198]) ).
tff(c_18803,plain,
n5 = '#skF_1',
inference(splitRight,[status(thm)],[c_18614]) ).
tff(c_18840,plain,
succ('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_18803,c_392]) ).
tff(c_18839,plain,
pred('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_18803,c_370]) ).
tff(c_18805,plain,
sum(sum(pred('#skF_1'),n8),sum(n6,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n3),
inference(demodulation,[status(thm),theory(equality)],[c_210,c_16867,c_16867,c_17198]) ).
tff(c_18858,plain,
sum(sum(n4,n8),sum(n6,succ('#skF_1'))) != sum(sum(n4,succ('#skF_1')),n3),
inference(demodulation,[status(thm),theory(equality)],[c_18839,c_18839,c_18805]) ).
tff(c_18859,plain,
sum(sum(n4,succ('#skF_1')),n3) != sum(n1,sum(n6,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_254,c_18858]) ).
tff(c_18993,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_334,c_214,c_18840,c_132,c_258,c_18840,c_18859]) ).
tff(c_18994,plain,
( ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_16831]) ).
tff(c_19754,plain,
n4 = '#skF_2',
inference(splitLeft,[status(thm)],[c_18994]) ).
tff(c_19765,plain,
sum(n2,n2) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_19754,c_310]) ).
tff(c_19188,plain,
n4 = '#skF_2',
inference(splitLeft,[status(thm)],[c_18994]) ).
tff(c_19218,plain,
sum('#skF_2','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_19188,c_19188,c_262]) ).
tff(c_19206,plain,
sum(n3,n1) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_19188,c_290]) ).
tff(c_19211,plain,
sum(n10,n5) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_19188,c_128]) ).
tff(c_18996,plain,
n0 = '#skF_1',
inference(splitLeft,[status(thm)],[c_116]) ).
tff(c_19021,plain,
sum('#skF_1',n8) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_18996,c_342]) ).
tff(c_19220,plain,
succ('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_19188,c_394]) ).
tff(c_19222,plain,
pred('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_19188,c_372]) ).
tff(c_19017,plain,
sum(n10,n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_18996,c_136]) ).
tff(c_19030,plain,
succ('#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_18996,c_402]) ).
tff(c_19029,plain,
pred('#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_18996,c_380]) ).
tff(c_19047,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_19029,c_19029,c_112]) ).
tff(c_19374,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_19218,c_19206,c_19211,c_19021,c_282,c_19220,c_19220,c_19222,c_19222,c_19017,c_19030,c_19030,c_19047]) ).
tff(c_19375,plain,
( ( n5 = '#skF_2' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_18994]) ).
tff(c_19377,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_19375]) ).
tff(c_19383,plain,
sum('#skF_2','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_19377,c_19377,c_214]) ).
tff(c_19402,plain,
sum(n10,n7) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_19377,c_124]) ).
tff(c_19390,plain,
sum(n5,n1) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_19377,c_246]) ).
tff(c_19015,plain,
sum('#skF_1',n1) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_18996,c_356]) ).
tff(c_19409,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_19377,c_390]) ).
tff(c_19411,plain,
pred('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_19377,c_368]) ).
tff(c_19563,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_19383,c_19402,c_19390,c_19015,c_234,c_19409,c_19409,c_19411,c_19411,c_19017,c_19030,c_19030,c_19047]) ).
tff(c_19564,plain,
n5 = '#skF_2',
inference(splitRight,[status(thm)],[c_19375]) ).
tff(c_19574,plain,
sum('#skF_2','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_19564,c_19564,c_238]) ).
tff(c_19575,plain,
sum(n4,n1) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_19564,c_268]) ).
tff(c_19582,plain,
sum(n10,n6) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_19564,c_126]) ).
tff(c_19002,plain,
sum('#skF_1',n10) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_18996,c_338]) ).
tff(c_19600,plain,
succ('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_19564,c_392]) ).
tff(c_19599,plain,
pred('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_19564,c_370]) ).
tff(c_19751,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_19574,c_19575,c_19582,c_19002,c_258,c_19600,c_19600,c_19599,c_19599,c_19017,c_19030,c_19030,c_19047]) ).
tff(c_19752,plain,
( ( n1 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_19940,plain,
( ( n1 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19754,c_19752]) ).
tff(c_19941,plain,
n10 = '#skF_1',
inference(splitLeft,[status(thm)],[c_19940]) ).
tff(c_19976,plain,
succ('#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_19941,c_382]) ).
tff(c_19975,plain,
pred('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_19941,c_360]) ).
tff(c_19787,plain,
pred('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_19754,c_372]) ).
tff(c_19785,plain,
succ('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_19754,c_394]) ).
tff(c_19803,plain,
sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n5)) != sum(sum(pred('#skF_1'),n5),sum(pred('#skF_2'),succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_19785,c_19785,c_112]) ).
tff(c_20127,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_286,c_292,c_19976,c_144,c_160,c_19976,c_19975,c_150,c_19975,c_19787,c_282,c_19787,c_19803]) ).
tff(c_20128,plain,
( ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_19940]) ).
tff(c_20131,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_20128]) ).
tff(c_20166,plain,
pred('#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_20131,c_378]) ).
tff(c_20165,plain,
succ('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_20131,c_400]) ).
tff(c_20130,plain,
sum(sum(pred('#skF_1'),n5),sum(n3,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n8),
inference(demodulation,[status(thm),theory(equality)],[c_282,c_19787,c_19787,c_19803]) ).
tff(c_20180,plain,
sum(sum(pred('#skF_1'),n5),sum(n3,n2)) != sum(sum(pred('#skF_1'),n2),n8),
inference(demodulation,[status(thm),theory(equality)],[c_20165,c_20165,c_20130]) ).
tff(c_20181,plain,
sum(sum(pred('#skF_1'),n5),n5) != sum(sum(pred('#skF_1'),n2),n8),
inference(demodulation,[status(thm),theory(equality)],[c_288,c_20180]) ).
tff(c_20319,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_298,c_354,c_20166,c_238,c_348,c_20166,c_20181]) ).
tff(c_20320,plain,
( ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_20128]) ).
tff(c_20322,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_20320]) ).
tff(c_20354,plain,
succ('#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_20322,c_384]) ).
tff(c_19772,plain,
sum(n7,n8) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_19754,c_188]) ).
tff(c_20355,plain,
pred('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_20322,c_362]) ).
tff(c_20371,plain,
sum(sum(n8,n5),sum(n3,succ('#skF_1'))) != sum(sum(n8,succ('#skF_1')),n8),
inference(demodulation,[status(thm),theory(equality)],[c_20355,c_20355,c_20130]) ).
tff(c_20372,plain,
sum(sum(n8,succ('#skF_1')),n8) != sum(n2,sum(n3,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_172,c_20371]) ).
tff(c_20510,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_19765,c_272,c_20354,c_19772,c_162,c_20354,c_20372]) ).
tff(c_20511,plain,
( ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_20320]) ).
tff(c_20513,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_20511]) ).
tff(c_20548,plain,
succ('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_20513,c_398]) ).
tff(c_19781,plain,
sum('#skF_2',n8) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_19754,c_254]) ).
tff(c_19778,plain,
sum(n1,n3) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_19754,c_330]) ).
tff(c_20546,plain,
pred('#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_20513,c_376]) ).
tff(c_20562,plain,
sum(sum(n1,n5),sum(n3,succ('#skF_1'))) != sum(sum(n1,succ('#skF_1')),n8),
inference(demodulation,[status(thm),theory(equality)],[c_20546,c_20546,c_20130]) ).
tff(c_20563,plain,
sum(sum(n1,succ('#skF_1')),n8) != sum(n6,sum(n3,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_326,c_20562]) ).
tff(c_20701,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_214,c_286,c_20548,c_19781,c_19778,c_20548,c_20563]) ).
tff(c_20702,plain,
( ( n3 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_20511]) ).
tff(c_20704,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_20702]) ).
tff(c_20722,plain,
sum(n5,'#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_20704,c_232]) ).
tff(c_20739,plain,
succ('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_20704,c_386]) ).
tff(c_20737,plain,
pred('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_20704,c_364]) ).
tff(c_20705,plain,
sum(sum(pred('#skF_1'),n5),sum(n3,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_20704,c_20130]) ).
tff(c_20891,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20722,c_334,c_274,c_20739,c_186,c_20739,c_20737,c_194,c_20737,c_20705]) ).
tff(c_20892,plain,
( ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_20702]) ).
tff(c_20894,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_20892]) ).
tff(c_20919,plain,
sum(n7,n7) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_20894,c_190]) ).
tff(c_19761,plain,
sum(n3,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_19754,c_284]) ).
tff(c_20898,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_20894,c_19761]) ).
tff(c_20921,plain,
sum(n6,n8) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_20894,c_210]) ).
tff(c_19788,plain,
succ(n3) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_19754,c_396]) ).
tff(c_20903,plain,
succ('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_20894,c_19788]) ).
tff(c_19780,plain,
sum(n2,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_19754,c_306]) ).
tff(c_20929,plain,
pred('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_20894,c_374]) ).
tff(c_20895,plain,
sum(sum(pred('#skF_1'),n5),sum('#skF_1',succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n8),
inference(demodulation,[status(thm),theory(equality)],[c_20894,c_20130]) ).
tff(c_21081,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20919,c_20898,c_20921,c_20903,c_19780,c_20903,c_20929,c_304,c_20929,c_20895]) ).
tff(c_21082,plain,
( ( '#skF_2' = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_20892]) ).
tff(c_21084,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_21082]) ).
tff(c_21119,plain,
succ('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_21084,c_388]) ).
tff(c_21118,plain,
pred('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_21084,c_366]) ).
tff(c_21133,plain,
sum(sum(n6,n5),sum(n3,succ('#skF_1'))) != sum(sum(n6,succ('#skF_1')),n8),
inference(demodulation,[status(thm),theory(equality)],[c_21118,c_21118,c_20130]) ).
tff(c_21134,plain,
sum(sum(n6,succ('#skF_1')),n8) != sum(n0,sum(n3,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_216,c_21133]) ).
tff(c_21272,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_276,c_21119,c_276,c_210,c_21119,c_21134]) ).
tff(c_21273,plain,
( ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_21082]) ).
tff(c_21275,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_21273]) ).
tff(c_21309,plain,
succ('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_21275,c_19785]) ).
tff(c_21333,plain,
sum(sum(pred('#skF_1'),n5),sum(n3,n5)) != sum(sum(pred('#skF_1'),n5),n8),
inference(demodulation,[status(thm),theory(equality)],[c_21309,c_21309,c_20130]) ).
tff(c_21336,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_282,c_21333]) ).
tff(c_21337,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_21273]) ).
tff(c_21339,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_21337]) ).
tff(c_21373,plain,
pred('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_21339,c_368]) ).
tff(c_21371,plain,
succ('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_21339,c_390]) ).
tff(c_21388,plain,
sum(sum(pred('#skF_1'),n5),sum(n3,n7)) != sum(sum(pred('#skF_1'),n7),n8),
inference(demodulation,[status(thm),theory(equality)],[c_21371,c_21371,c_20130]) ).
tff(c_21389,plain,
sum(sum(pred('#skF_1'),n7),n8) != sum(sum(pred('#skF_1'),n5),n10),
inference(demodulation,[status(thm),theory(equality)],[c_278,c_21388]) ).
tff(c_21527,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_118,c_238,c_21373,c_320,c_234,c_21373,c_21389]) ).
tff(c_21528,plain,
n5 = '#skF_1',
inference(splitRight,[status(thm)],[c_21337]) ).
tff(c_19784,plain,
sum('#skF_2',n5) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_19754,c_260]) ).
tff(c_21535,plain,
sum('#skF_2','#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_21528,c_19784]) ).
tff(c_19786,plain,
pred(n5) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_19754,c_370]) ).
tff(c_21537,plain,
pred('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_21528,c_19786]) ).
tff(c_19762,plain,
sum('#skF_2',n6) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_19754,c_258]) ).
tff(c_21565,plain,
succ('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_21528,c_392]) ).
tff(c_21530,plain,
sum(sum(pred('#skF_1'),'#skF_1'),sum(n3,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n8),
inference(demodulation,[status(thm),theory(equality)],[c_21528,c_20130]) ).
tff(c_21716,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_142,c_21535,c_21537,c_122,c_19762,c_21537,c_21565,c_280,c_21565,c_21530]) ).
tff(c_21717,plain,
( ( n5 = '#skF_2' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_18994]) ).
tff(c_21719,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_21717]) ).
tff(c_21745,plain,
sum('#skF_2',n1) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_21719,c_224]) ).
tff(c_21742,plain,
sum(n2,n4) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_21719,c_306]) ).
tff(c_21733,plain,
sum(n3,n3) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_21719,c_286]) ).
tff(c_21905,plain,
( ( n1 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21719,c_19752]) ).
tff(c_21906,plain,
n10 = '#skF_1',
inference(splitLeft,[status(thm)],[c_21905]) ).
tff(c_21918,plain,
sum(n5,n5) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_21906,c_238]) ).
tff(c_21924,plain,
sum(n9,n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_21906,c_158]) ).
tff(c_21941,plain,
succ('#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_21906,c_382]) ).
tff(c_21940,plain,
pred('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_21906,c_360]) ).
tff(c_21752,plain,
pred('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_21719,c_368]) ).
tff(c_21750,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_21719,c_390]) ).
tff(c_21768,plain,
sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n7)) != sum(sum(pred('#skF_1'),n7),sum(pred('#skF_2'),succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_21750,c_21750,c_112]) ).
tff(c_22092,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_21918,c_21924,c_248,c_21941,c_160,c_21941,c_21940,c_146,c_21940,c_21752,c_234,c_21752,c_21768]) ).
tff(c_22093,plain,
( ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_21905]) ).
tff(c_22096,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_22093]) ).
tff(c_22127,plain,
sum(n2,'#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_22096,c_312]) ).
tff(c_22132,plain,
pred('#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_22096,c_378]) ).
tff(c_22131,plain,
succ('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_22096,c_400]) ).
tff(c_22095,plain,
sum(sum(pred('#skF_1'),n7),sum(n5,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n1),
inference(demodulation,[status(thm),theory(equality)],[c_234,c_21752,c_21752,c_21768]) ).
tff(c_22097,plain,
sum(sum(pred('#skF_1'),n7),sum(n5,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_22096,c_22095]) ).
tff(c_22283,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22127,c_354,c_22132,c_190,c_344,c_22132,c_22131,c_244,c_22131,c_22097]) ).
tff(c_22284,plain,
( ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_22093]) ).
tff(c_22286,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_22284]) ).
tff(c_22318,plain,
succ('#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_22286,c_384]) ).
tff(c_22319,plain,
pred('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_22286,c_362]) ).
tff(c_22343,plain,
sum(sum(n8,n7),sum(n5,succ('#skF_1'))) != sum(sum(n8,succ('#skF_1')),n1),
inference(demodulation,[status(thm),theory(equality)],[c_22319,c_22319,c_22095]) ).
tff(c_22344,plain,
sum(sum(n8,succ('#skF_1')),n1) != sum(n4,sum(n5,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_22343]) ).
tff(c_22474,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_262,c_228,c_22318,c_202,c_162,c_22318,c_22344]) ).
tff(c_22475,plain,
( ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_22284]) ).
tff(c_22477,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_22475]) ).
tff(c_22510,plain,
pred('#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_22477,c_376]) ).
tff(c_22512,plain,
succ('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_22477,c_398]) ).
tff(c_22530,plain,
sum(sum(pred('#skF_1'),n7),sum(n5,n3)) != sum(sum(pred('#skF_1'),n3),n1),
inference(demodulation,[status(thm),theory(equality)],[c_22512,c_22512,c_22095]) ).
tff(c_22531,plain,
sum(sum(pred('#skF_1'),n7),n8) != sum(sum(pred('#skF_1'),n3),n1),
inference(demodulation,[status(thm),theory(equality)],[c_242,c_22530]) ).
tff(c_22665,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_268,c_330,c_22510,c_166,c_322,c_22510,c_22531]) ).
tff(c_22666,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_22475]) ).
tff(c_22668,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_22666]) ).
tff(c_22700,plain,
pred('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_22668,c_364]) ).
tff(c_21728,plain,
sum(n5,n1) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_21719,c_246]) ).
tff(c_22702,plain,
succ('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_22668,c_386]) ).
tff(c_22725,plain,
sum(sum(pred('#skF_1'),n7),sum(n5,n9)) != sum(sum(pred('#skF_1'),n9),n1),
inference(demodulation,[status(thm),theory(equality)],[c_22702,c_22702,c_22095]) ).
tff(c_22726,plain,
sum(sum(pred('#skF_1'),n9),n1) != sum(sum(pred('#skF_1'),n7),n3),
inference(demodulation,[status(thm),theory(equality)],[c_230,c_22725]) ).
tff(c_22856,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_21733,c_190,c_22700,c_21728,c_186,c_22700,c_22726]) ).
tff(c_22857,plain,
( ( n7 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_22666]) ).
tff(c_22859,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_22857]) ).
tff(c_22891,plain,
pred('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_22859,c_374]) ).
tff(c_22894,plain,
succ('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_22859,c_396]) ).
tff(c_22916,plain,
sum(sum(pred('#skF_1'),n7),sum(n5,n4)) != sum(sum(pred('#skF_1'),n4),n1),
inference(demodulation,[status(thm),theory(equality)],[c_22894,c_22894,c_22095]) ).
tff(c_22917,plain,
sum(sum(pred('#skF_1'),n7),n9) != sum(sum(pred('#skF_1'),n4),n1),
inference(demodulation,[status(thm),theory(equality)],[c_240,c_22916]) ).
tff(c_23047,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_21745,c_21742,c_22891,c_142,c_300,c_22891,c_22917]) ).
tff(c_23048,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_22857]) ).
tff(c_23050,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_23048]) ).
tff(c_21730,plain,
sum('#skF_2',n7) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_21719,c_212]) ).
tff(c_23052,plain,
sum('#skF_2','#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_23050,c_21730]) ).
tff(c_21751,plain,
pred(n7) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_21719,c_366]) ).
tff(c_23058,plain,
pred('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_23050,c_21751]) ).
tff(c_21738,plain,
sum('#skF_2',n8) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_21719,c_210]) ).
tff(c_23086,plain,
succ('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_23050,c_388]) ).
tff(c_23051,plain,
sum(sum(pred('#skF_1'),'#skF_1'),sum(n5,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n1),
inference(demodulation,[status(thm),theory(equality)],[c_23050,c_22095]) ).
tff(c_23237,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_310,c_23052,c_23058,c_290,c_21738,c_23058,c_23086,c_232,c_23086,c_23051]) ).
tff(c_23238,plain,
( ( '#skF_2' = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_23048]) ).
tff(c_23240,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_23238]) ).
tff(c_23272,plain,
succ('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_23240,c_394]) ).
tff(c_23274,plain,
pred('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_23240,c_372]) ).
tff(c_23293,plain,
sum(sum(n3,n7),sum(n5,succ('#skF_1'))) != sum(sum(n3,succ('#skF_1')),n1),
inference(demodulation,[status(thm),theory(equality)],[c_23274,c_23274,c_22095]) ).
tff(c_23294,plain,
sum(sum(n3,succ('#skF_1')),n1) != sum(n10,sum(n5,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_278,c_23293]) ).
tff(c_23428,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_118,c_238,c_23272,c_180,c_282,c_23272,c_23294]) ).
tff(c_23429,plain,
( ( n5 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_23238]) ).
tff(c_23431,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_23429]) ).
tff(c_23465,plain,
succ('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_23431,c_21750]) ).
tff(c_23485,plain,
sum(sum(pred('#skF_1'),n7),sum(n5,n7)) != sum(sum(pred('#skF_1'),n7),n1),
inference(demodulation,[status(thm),theory(equality)],[c_23465,c_23465,c_22095]) ).
tff(c_23488,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_234,c_23485]) ).
tff(c_23489,plain,
n5 = '#skF_1',
inference(splitRight,[status(thm)],[c_23429]) ).
tff(c_21743,plain,
sum(n5,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_21719,c_236]) ).
tff(c_23495,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_23489,c_21743]) ).
tff(c_21724,plain,
sum(n4,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_21719,c_258]) ).
tff(c_23526,plain,
pred('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_23489,c_370]) ).
tff(c_21753,plain,
succ(n5) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_21719,c_392]) ).
tff(c_23498,plain,
succ('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_23489,c_21753]) ).
tff(c_23491,plain,
sum(sum(pred('#skF_1'),n7),sum('#skF_1',succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n1),
inference(demodulation,[status(thm),theory(equality)],[c_23489,c_22095]) ).
tff(c_23677,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_23495,c_136,c_21724,c_23526,c_256,c_23526,c_23498,c_23498,c_23491]) ).
tff(c_23678,plain,
n5 = '#skF_2',
inference(splitRight,[status(thm)],[c_21717]) ).
tff(c_23706,plain,
sum(n6,n10) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_23678,c_206]) ).
tff(c_23866,plain,
( ( n1 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23678,c_19752]) ).
tff(c_23867,plain,
n10 = '#skF_1',
inference(splitLeft,[status(thm)],[c_23866]) ).
tff(c_23899,plain,
sum(n9,'#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_23867,c_140]) ).
tff(c_23903,plain,
succ('#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_23867,c_382]) ).
tff(c_23902,plain,
pred('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_23867,c_360]) ).
tff(c_23713,plain,
succ('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_23678,c_392]) ).
tff(c_23712,plain,
pred('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_23678,c_370]) ).
tff(c_23732,plain,
sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n4,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n4,succ('#skF_2'))),
inference(demodulation,[status(thm),theory(equality)],[c_23712,c_23712,c_112]) ).
tff(c_23865,plain,
sum(sum(pred('#skF_1'),n6),sum(n4,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n10),
inference(demodulation,[status(thm),theory(equality)],[c_258,c_23713,c_23713,c_23732]) ).
tff(c_23868,plain,
sum(sum(pred('#skF_1'),n6),sum(n4,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_23867,c_23865]) ).
tff(c_24054,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_23899,c_262,c_270,c_23903,c_160,c_23903,c_23902,c_148,c_23902,c_23868]) ).
tff(c_24055,plain,
( ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_23866]) ).
tff(c_24057,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_24055]) ).
tff(c_24067,plain,
sum(n6,n6) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_24057,c_214]) ).
tff(c_24074,plain,
sum(n2,n10) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_24057,c_294]) ).
tff(c_24092,plain,
pred('#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_24057,c_378]) ).
tff(c_24091,plain,
succ('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_24057,c_400]) ).
tff(c_24106,plain,
sum(sum(pred('#skF_1'),n6),sum(n4,n2)) != sum(sum(pred('#skF_1'),n2),n10),
inference(demodulation,[status(thm),theory(equality)],[c_24091,c_24091,c_23865]) ).
tff(c_24107,plain,
sum(sum(pred('#skF_1'),n6),n6) != sum(sum(pred('#skF_1'),n2),n10),
inference(demodulation,[status(thm),theory(equality)],[c_266,c_24106]) ).
tff(c_24245,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24067,c_24074,c_354,c_24092,c_346,c_24092,c_24107]) ).
tff(c_24246,plain,
( ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_24055]) ).
tff(c_24248,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_24246]) ).
tff(c_24280,plain,
succ('#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_24248,c_384]) ).
tff(c_24281,plain,
pred('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_24248,c_362]) ).
tff(c_24297,plain,
sum(sum(n8,n6),sum(n4,succ('#skF_1'))) != sum(sum(n8,succ('#skF_1')),n10),
inference(demodulation,[status(thm),theory(equality)],[c_24281,c_24281,c_23865]) ).
tff(c_24298,plain,
sum(sum(n8,succ('#skF_1')),n10) != sum(n3,sum(n4,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_170,c_24297]) ).
tff(c_24436,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_286,c_250,c_24280,c_184,c_162,c_24280,c_24298]) ).
tff(c_24437,plain,
( ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_24246]) ).
tff(c_24439,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_24437]) ).
tff(c_24474,plain,
succ('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_24439,c_398]) ).
tff(c_24472,plain,
pred('#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_24439,c_376]) ).
tff(c_24488,plain,
sum(sum(n1,n6),sum(n4,succ('#skF_1'))) != sum(sum(n1,succ('#skF_1')),n10),
inference(demodulation,[status(thm),theory(equality)],[c_24472,c_24472,c_23865]) ).
tff(c_24489,plain,
sum(sum(n1,succ('#skF_1')),n10) != sum(n7,sum(n4,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_324,c_24488]) ).
tff(c_24627,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_190,c_264,c_24474,c_250,c_330,c_24474,c_24489]) ).
tff(c_24628,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_24437]) ).
tff(c_24630,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_24628]) ).
tff(c_24662,plain,
pred('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_24630,c_364]) ).
tff(c_23681,plain,
sum('#skF_2',n10) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_23678,c_228]) ).
tff(c_23699,plain,
sum(n7,n9) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_23678,c_186]) ).
tff(c_24664,plain,
succ('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_24630,c_386]) ).
tff(c_24687,plain,
sum(sum(pred('#skF_1'),n6),sum(n4,n9)) != sum(sum(pred('#skF_1'),n9),n10),
inference(demodulation,[status(thm),theory(equality)],[c_24664,c_24664,c_23865]) ).
tff(c_24688,plain,
sum(sum(pred('#skF_1'),n9),n10) != sum(sum(pred('#skF_1'),n6),n2),
inference(demodulation,[status(thm),theory(equality)],[c_252,c_24687]) ).
tff(c_24818,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_310,c_192,c_24662,c_23681,c_23699,c_24662,c_24688]) ).
tff(c_24819,plain,
( ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_24628]) ).
tff(c_24821,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_24819]) ).
tff(c_24853,plain,
pred('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_24821,c_374]) ).
tff(c_23704,plain,
sum(n8,n8) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_23678,c_166]) ).
tff(c_24856,plain,
succ('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_24821,c_396]) ).
tff(c_24874,plain,
sum(sum(pred('#skF_1'),n6),sum(n4,n4)) != sum(sum(pred('#skF_1'),n4),n10),
inference(demodulation,[status(thm),theory(equality)],[c_24856,c_24856,c_23865]) ).
tff(c_24875,plain,
sum(sum(pred('#skF_1'),n6),n8) != sum(sum(pred('#skF_1'),n4),n10),
inference(demodulation,[status(thm),theory(equality)],[c_262,c_24874]) ).
tff(c_25009,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_23706,c_306,c_24853,c_23704,c_302,c_24853,c_24875]) ).
tff(c_25010,plain,
( ( n4 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_24819]) ).
tff(c_25012,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_25010]) ).
tff(c_25047,plain,
succ('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_25012,c_388]) ).
tff(c_25046,plain,
pred('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_25012,c_366]) ).
tff(c_25061,plain,
sum(sum(n6,n6),sum(n4,succ('#skF_1'))) != sum(sum(n6,succ('#skF_1')),n10),
inference(demodulation,[status(thm),theory(equality)],[c_25046,c_25046,c_23865]) ).
tff(c_25062,plain,
sum(sum(n6,succ('#skF_1')),n10) != sum(n1,sum(n4,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_214,c_25061]) ).
tff(c_25200,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_334,c_254,c_25047,c_272,c_210,c_25047,c_25062]) ).
tff(c_25201,plain,
( ( n6 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_25010]) ).
tff(c_25203,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_25201]) ).
tff(c_23709,plain,
sum(n4,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_23678,c_260]) ).
tff(c_25210,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_25203,c_23709]) ).
tff(c_23685,plain,
sum(n3,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_23678,c_282]) ).
tff(c_25238,plain,
pred('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_25203,c_372]) ).
tff(c_23710,plain,
succ(n4) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_23678,c_394]) ).
tff(c_25212,plain,
succ('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_25203,c_23710]) ).
tff(c_25204,plain,
sum(sum(pred('#skF_1'),n6),sum('#skF_1',succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n10),
inference(demodulation,[status(thm),theory(equality)],[c_25203,c_23865]) ).
tff(c_25390,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_142,c_25210,c_162,c_23685,c_25238,c_280,c_25238,c_25212,c_25212,c_25204]) ).
tff(c_25391,plain,
( ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_25201]) ).
tff(c_25393,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_25391]) ).
tff(c_23705,plain,
sum('#skF_2',n6) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_23678,c_236]) ).
tff(c_25399,plain,
sum('#skF_2','#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_25393,c_23705]) ).
tff(c_23682,plain,
sum('#skF_2',n7) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_23678,c_234]) ).
tff(c_25428,plain,
succ('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_25393,c_390]) ).
tff(c_23711,plain,
pred(n6) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_23678,c_368]) ).
tff(c_25401,plain,
pred('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_25393,c_23711]) ).
tff(c_25394,plain,
sum(sum(pred('#skF_1'),'#skF_1'),sum(n4,succ('#skF_1'))) != sum(sum(pred('#skF_1'),succ('#skF_1')),n10),
inference(demodulation,[status(thm),theory(equality)],[c_25393,c_23865]) ).
tff(c_25580,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_358,c_25399,c_316,c_23682,c_25428,c_256,c_25428,c_25401,c_25401,c_25394]) ).
tff(c_25581,plain,
'#skF_2' = '#skF_1',
inference(splitRight,[status(thm)],[c_25391]) ).
tff(c_25614,plain,
succ('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_25581,c_23713]) ).
tff(c_25615,plain,
pred('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_25581,c_23712]) ).
tff(c_25636,plain,
sum(sum(n4,n6),sum(n4,succ('#skF_1'))) != sum(sum(n4,succ('#skF_1')),n10),
inference(demodulation,[status(thm),theory(equality)],[c_25615,c_25615,c_23865]) ).
tff(c_25637,plain,
sum(sum(n4,succ('#skF_1')),n10) != sum(n10,sum(n4,succ('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_258,c_25636]) ).
tff(c_25775,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_118,c_258,c_25614,c_118,c_258,c_25614,c_25637]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM376+1.010 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % 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
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 14:50:49 EDT 2023
% 0.13/0.35 % CPUTime :
% 21.45/10.06 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.75/10.20
% 21.75/10.20 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 21.93/10.30
% 21.93/10.30 Inference rules
% 21.93/10.30 ----------------------
% 21.93/10.30 #Ref : 0
% 21.93/10.30 #Sup : 9368
% 21.93/10.30 #Fact : 0
% 21.93/10.30 #Define : 0
% 21.93/10.30 #Split : 120
% 21.93/10.30 #Chain : 0
% 21.93/10.30 #Close : 0
% 21.93/10.30
% 21.93/10.30 Ordering : KBO
% 21.93/10.30
% 21.93/10.30 Simplification rules
% 21.93/10.30 ----------------------
% 21.93/10.30 #Subsume : 687
% 21.93/10.30 #Demod : 7449
% 21.93/10.30 #Tautology : 9368
% 21.93/10.30 #SimpNegUnit : 0
% 21.93/10.30 #BackRed : 5918
% 21.93/10.30
% 21.93/10.30 #Partial instantiations: 0
% 21.93/10.30 #Strategies tried : 1
% 21.93/10.30
% 21.93/10.30 Timing (in seconds)
% 21.93/10.30 ----------------------
% 21.93/10.31 Preprocessing : 0.63
% 21.93/10.31 Parsing : 0.32
% 21.93/10.31 CNF conversion : 0.04
% 21.93/10.31 Main loop : 8.40
% 21.93/10.31 Inferencing : 2.56
% 21.93/10.31 Reduction : 3.39
% 21.93/10.31 Demodulation : 2.37
% 21.93/10.31 BG Simplification : 0.07
% 21.93/10.31 Subsumption : 1.75
% 21.93/10.31 Abstraction : 0.08
% 21.93/10.31 MUC search : 0.00
% 21.93/10.31 Cooper : 0.00
% 21.93/10.31 Total : 9.30
% 21.93/10.31 Index Insertion : 0.00
% 21.93/10.31 Index Deletion : 0.00
% 21.93/10.31 Index Matching : 0.00
% 21.93/10.31 BG Taut test : 0.00
%------------------------------------------------------------------------------