TSTP Solution File: NUM375+1.010 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM375+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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n024.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 10:51:17 EDT 2023
% Result : Unsatisfiable 22.94s 11.02s
% Output : CNFRefutation 23.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 18
% Syntax : Number of formulae : 1584 (1447 unt; 17 typ; 0 def)
% Number of atoms : 2394 (2273 equ)
% Maximal formula atoms : 232 ( 1 avg)
% Number of connectives : 926 ( 99 ~; 616 |; 211 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 216 ( 2 avg)
% Maximal term depth : 5 ( 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 : 17 ( 17 usr; 14 con; 0-2 aty)
% Number of variables : 3 (; 0 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sum > #nlpp > succ > pred > n9 > n8 > n7 > n6 > n5 > n4 > n3 > n2 > n10 > n1 > n0 > #skF_2 > #skF_3 > #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_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(n0,type,
n0: $i ).
tff(sum,type,
sum: ( $i * $i ) > $i ).
tff(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_556,axiom,
? [X,Y,Z] :
( ( 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 ) )
& ( Z = sum(pred(sum(X,succ(Y))),sum(Y,pred(sum(X,Y)))) )
& ( Z != n0 )
& ( Z != n1 )
& ( Z != n2 )
& ( Z != n3 )
& ( Z != n4 )
& ( Z != n5 )
& ( Z != n6 )
& ( Z != n7 )
& ( Z != n8 )
& ( Z != n9 )
& ( Z != n10 )
& ( 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/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).
tff(c_128,plain,
n2 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_154,plain,
sum(n10,n3) = n2,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_124,plain,
n4 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_372,plain,
sum(n0,n4) = n4,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_118,plain,
n7 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_126,plain,
n3 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_114,plain,
n9 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_130,plain,
n1 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_132,plain,
n0 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_112,plain,
n10 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_116,plain,
n8 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_180,plain,
sum(n9,n1) = n10,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_382,plain,
pred(n10) = n9,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_156,plain,
sum(n10,n2) = n1,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_184,plain,
sum(n8,n10) = n7,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_318,plain,
sum(n2,n9) = n0,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_210,plain,
sum(n7,n8) = n4,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_386,plain,
pred(n8) = n7,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_314,plain,
sum(n3,n0) = n3,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_120,plain,
n6 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_288,plain,
sum(n4,n2) = n6,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_264,plain,
sum(n5,n3) = n8,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_136,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_556]) ).
tff(c_1001,plain,
n0 = '#skF_2',
inference(splitLeft,[status(thm)],[c_136]) ).
tff(c_1047,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_132]) ).
tff(c_122,plain,
n5 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_138,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_556]) ).
tff(c_1052,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_1001,c_138]) ).
tff(c_1053,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_1052]) ).
tff(c_360,plain,
sum(n0,n10) = n10,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1016,plain,
sum('#skF_2',n10) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_360]) ).
tff(c_1195,plain,
sum('#skF_1',n10) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_1053,c_1016]) ).
tff(c_400,plain,
pred(n1) = n0,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1033,plain,
pred(n1) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_400]) ).
tff(c_1080,plain,
pred(n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_1053,c_1033]) ).
tff(c_378,plain,
sum(n0,n1) = n1,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1029,plain,
sum('#skF_2',n1) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_378]) ).
tff(c_1155,plain,
sum('#skF_1',n1) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_1053,c_1029]) ).
tff(c_402,plain,
pred(n0) = n10,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1034,plain,
pred('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_402]) ).
tff(c_1090,plain,
pred('#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_1053,c_1034]) ).
tff(c_380,plain,
sum(n0,n0) = n0,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1014,plain,
sum('#skF_2','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_1001,c_1001,c_380]) ).
tff(c_1140,plain,
sum('#skF_1','#skF_1') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_1053,c_1053,c_1053,c_1014]) ).
tff(c_424,plain,
succ(n0) = n1,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1035,plain,
succ('#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_424]) ).
tff(c_1085,plain,
succ('#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_1053,c_1035]) ).
tff(c_134,plain,
sum(pred(sum('#skF_1',succ('#skF_2'))),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1066,plain,
sum(pred(sum('#skF_1',succ('#skF_1'))),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1053,c_1053,c_1053,c_134]) ).
tff(c_1250,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1195,c_1195,c_1080,c_1155,c_1090,c_1140,c_1085,c_1066]) ).
tff(c_1251,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_1250]) ).
tff(c_1252,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_1052]) ).
tff(c_1399,plain,
n10 = '#skF_1',
inference(splitLeft,[status(thm)],[c_1252]) ).
tff(c_142,plain,
sum(n10,n9) = n8,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1413,plain,
sum('#skF_1',n9) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_1399,c_142]) ).
tff(c_362,plain,
sum(n0,n9) = n9,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1019,plain,
sum('#skF_2',n9) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_362]) ).
tff(c_1434,plain,
pred('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_1399,c_382]) ).
tff(c_160,plain,
sum(n10,n0) = n10,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1023,plain,
sum(n10,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_160]) ).
tff(c_1402,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_1399,c_1399,c_1023]) ).
tff(c_1405,plain,
pred('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_1399,c_1034]) ).
tff(c_158,plain,
sum(n10,n1) = n0,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1031,plain,
sum(n10,n1) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_158]) ).
tff(c_1401,plain,
sum('#skF_1',n1) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_1399,c_1031]) ).
tff(c_1254,plain,
sum(pred(sum('#skF_1',n1)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1035,c_134]) ).
tff(c_1569,plain,
sum(pred('#skF_2'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1401,c_1254]) ).
tff(c_1570,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1405,c_1569]) ).
tff(c_1587,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1413,c_1019,c_1434,c_1402,c_1570]) ).
tff(c_1588,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116,c_1587]) ).
tff(c_1589,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_1252]) ).
tff(c_1591,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_1589]) ).
tff(c_1637,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_1591,c_130]) ).
tff(c_358,plain,
sum(n1,n0) = n1,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1025,plain,
sum(n1,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_358]) ).
tff(c_1593,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_1591,c_1591,c_1025]) ).
tff(c_1597,plain,
pred('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_1591,c_1033]) ).
tff(c_398,plain,
pred(n2) = n1,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1626,plain,
pred(n2) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_1591,c_398]) ).
tff(c_356,plain,
sum(n1,n1) = n2,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1624,plain,
sum('#skF_1','#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_1591,c_1591,c_356]) ).
tff(c_1592,plain,
sum(pred(sum('#skF_1','#skF_1')),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1591,c_1254]) ).
tff(c_1778,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_1593,c_1014,c_1597,c_1593,c_1626,c_1624,c_1592]) ).
tff(c_1779,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1637,c_1778]) ).
tff(c_1780,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_1589]) ).
tff(c_1782,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_1780]) ).
tff(c_166,plain,
sum(n9,n8) = n6,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1797,plain,
sum('#skF_1',n8) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_1782,c_166]) ).
tff(c_364,plain,
sum(n0,n8) = n8,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1018,plain,
sum('#skF_2',n8) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_364]) ).
tff(c_384,plain,
pred(n9) = n8,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1815,plain,
pred('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_1782,c_384]) ).
tff(c_182,plain,
sum(n9,n0) = n9,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1027,plain,
sum(n9,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_182]) ).
tff(c_1783,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_1782,c_1782,c_1027]) ).
tff(c_1816,plain,
pred(n10) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_1782,c_382]) ).
tff(c_1808,plain,
sum('#skF_1',n1) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_1782,c_180]) ).
tff(c_1876,plain,
sum(pred(n10),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1808,c_1254]) ).
tff(c_1877,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1816,c_1876]) ).
tff(c_1970,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1797,c_1018,c_1815,c_1783,c_1877]) ).
tff(c_1971,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_1970]) ).
tff(c_1972,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_1780]) ).
tff(c_1974,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_1972]) ).
tff(c_334,plain,
sum(n2,n1) = n3,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_2003,plain,
sum('#skF_1',n1) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_1974,c_334]) ).
tff(c_2006,plain,
pred('#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_1974,c_398]) ).
tff(c_336,plain,
sum(n2,n0) = n2,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1020,plain,
sum(n2,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_336]) ).
tff(c_1975,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_1974,c_1974,c_1020]) ).
tff(c_396,plain,
pred(n3) = n2,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_2007,plain,
pred(n3) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_1974,c_396]) ).
tff(c_2064,plain,
sum(pred(n3),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2003,c_1254]) ).
tff(c_2065,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2007,c_2064]) ).
tff(c_2162,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2003,c_1029,c_2006,c_1975,c_2065]) ).
tff(c_2163,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126,c_2162]) ).
tff(c_2164,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_1972]) ).
tff(c_2166,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_2164]) ).
tff(c_190,plain,
sum(n8,n7) = n4,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_2179,plain,
sum('#skF_1',n7) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_2166,c_190]) ).
tff(c_366,plain,
sum(n0,n7) = n7,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1011,plain,
sum('#skF_2',n7) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_366]) ).
tff(c_2198,plain,
pred('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_2166,c_386]) ).
tff(c_204,plain,
sum(n8,n0) = n8,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1024,plain,
sum(n8,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_204]) ).
tff(c_2168,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2166,c_2166,c_1024]) ).
tff(c_2199,plain,
pred(n9) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2166,c_384]) ).
tff(c_202,plain,
sum(n8,n1) = n9,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_2187,plain,
sum('#skF_1',n1) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_2166,c_202]) ).
tff(c_2296,plain,
sum(pred(n9),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2187,c_1254]) ).
tff(c_2297,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2199,c_2296]) ).
tff(c_2354,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2179,c_1011,c_2198,c_2168,c_2297]) ).
tff(c_2355,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_124,c_2354]) ).
tff(c_2356,plain,
( ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_2164]) ).
tff(c_2358,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_2356]) ).
tff(c_310,plain,
sum(n3,n2) = n5,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_2375,plain,
sum('#skF_1',n2) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_2358,c_310]) ).
tff(c_376,plain,
sum(n0,n2) = n2,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1008,plain,
sum('#skF_2',n2) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_376]) ).
tff(c_2390,plain,
pred('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_2358,c_396]) ).
tff(c_1021,plain,
sum(n3,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_314]) ).
tff(c_2359,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2358,c_2358,c_1021]) ).
tff(c_394,plain,
pred(n4) = n3,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_2391,plain,
pred(n4) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2358,c_394]) ).
tff(c_312,plain,
sum(n3,n1) = n4,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_2374,plain,
sum('#skF_1',n1) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_2358,c_312]) ).
tff(c_2432,plain,
sum(pred(n4),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2374,c_1254]) ).
tff(c_2433,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2391,c_2432]) ).
tff(c_2546,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2375,c_1008,c_2390,c_2359,c_2433]) ).
tff(c_2547,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_2546]) ).
tff(c_2548,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_2356]) ).
tff(c_2550,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_2548]) ).
tff(c_214,plain,
sum(n7,n6) = n2,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_2567,plain,
sum('#skF_1',n6) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_2550,c_214]) ).
tff(c_368,plain,
sum(n0,n6) = n6,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1003,plain,
sum('#skF_2',n6) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_368]) ).
tff(c_388,plain,
pred(n7) = n6,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_2584,plain,
pred('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_2550,c_388]) ).
tff(c_226,plain,
sum(n7,n0) = n7,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1002,plain,
sum(n7,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_226]) ).
tff(c_2552,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2550,c_2550,c_1002]) ).
tff(c_2583,plain,
pred(n8) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2550,c_386]) ).
tff(c_224,plain,
sum(n7,n1) = n8,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_2581,plain,
sum('#skF_1',n1) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_2550,c_224]) ).
tff(c_2704,plain,
sum(pred(n8),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2581,c_1254]) ).
tff(c_2705,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2583,c_2704]) ).
tff(c_2738,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2567,c_1003,c_2584,c_2552,c_2705]) ).
tff(c_2739,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128,c_2738]) ).
tff(c_2740,plain,
( ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_2548]) ).
tff(c_2742,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_2740]) ).
tff(c_286,plain,
sum(n4,n3) = n7,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_2756,plain,
sum('#skF_1',n3) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_2742,c_286]) ).
tff(c_374,plain,
sum(n0,n3) = n3,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1007,plain,
sum('#skF_2',n3) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_374]) ).
tff(c_2776,plain,
pred('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_2742,c_394]) ).
tff(c_292,plain,
sum(n4,n0) = n4,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1032,plain,
sum(n4,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_292]) ).
tff(c_2745,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2742,c_2742,c_1032]) ).
tff(c_392,plain,
pred(n5) = n4,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_2775,plain,
pred(n5) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2742,c_392]) ).
tff(c_290,plain,
sum(n4,n1) = n5,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_2771,plain,
sum('#skF_1',n1) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_2742,c_290]) ).
tff(c_2828,plain,
sum(pred(n5),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2771,c_1254]) ).
tff(c_2829,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2775,c_2828]) ).
tff(c_2930,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2756,c_1007,c_2776,c_2745,c_2829]) ).
tff(c_2931,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118,c_2930]) ).
tff(c_2932,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_2740]) ).
tff(c_2934,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_2932]) ).
tff(c_238,plain,
sum(n6,n5) = n0,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1030,plain,
sum(n6,n5) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_238]) ).
tff(c_2937,plain,
sum('#skF_1',n5) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_2934,c_1030]) ).
tff(c_370,plain,
sum(n0,n5) = n5,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1013,plain,
sum('#skF_2',n5) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_370]) ).
tff(c_390,plain,
pred(n6) = n5,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_2968,plain,
pred('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_2934,c_390]) ).
tff(c_248,plain,
sum(n6,n0) = n6,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1015,plain,
sum(n6,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_248]) ).
tff(c_2935,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2934,c_2934,c_1015]) ).
tff(c_2967,plain,
pred(n7) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2934,c_388]) ).
tff(c_246,plain,
sum(n6,n1) = n7,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_2960,plain,
sum('#skF_1',n1) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_2934,c_246]) ).
tff(c_3048,plain,
sum(pred(n7),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2960,c_1254]) ).
tff(c_3049,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2967,c_3048]) ).
tff(c_3122,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2937,c_1013,c_2968,c_2935,c_3049]) ).
tff(c_3123,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1047,c_3122]) ).
tff(c_3124,plain,
n5 = '#skF_1',
inference(splitRight,[status(thm)],[c_2932]) ).
tff(c_262,plain,
sum(n5,n4) = n9,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_3151,plain,
sum('#skF_1',n4) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_3124,c_262]) ).
tff(c_1022,plain,
sum('#skF_2',n4) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_372]) ).
tff(c_3159,plain,
pred('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_3124,c_392]) ).
tff(c_270,plain,
sum(n5,n0) = n5,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_1004,plain,
sum(n5,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_1001,c_270]) ).
tff(c_3126,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_3124,c_3124,c_1004]) ).
tff(c_3158,plain,
pred(n6) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_3124,c_390]) ).
tff(c_268,plain,
sum(n5,n1) = n6,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_3147,plain,
sum('#skF_1',n1) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_3124,c_268]) ).
tff(c_3239,plain,
sum(pred(n6),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3147,c_1254]) ).
tff(c_3240,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3158,c_3239]) ).
tff(c_3313,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3151,c_1022,c_3159,c_3126,c_3240]) ).
tff(c_3314,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_3313]) ).
tff(c_3315,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_136]) ).
tff(c_5428,plain,
n10 = '#skF_2',
inference(splitLeft,[status(thm)],[c_3315]) ).
tff(c_152,plain,
sum(n10,n4) = n3,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_5430,plain,
sum('#skF_2',n4) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_5428,c_152]) ).
tff(c_5469,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5428,c_112]) ).
tff(c_240,plain,
sum(n6,n4) = n10,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_5450,plain,
sum(n6,n4) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_5428,c_240]) ).
tff(c_150,plain,
sum(n10,n5) = n4,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_5439,plain,
sum('#skF_2',n5) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_5428,c_150]) ).
tff(c_5458,plain,
sum('#skF_2',n1) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_5428,c_158]) ).
tff(c_216,plain,
sum(n7,n5) = n1,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_148,plain,
sum(n10,n6) = n5,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_5456,plain,
sum('#skF_2',n6) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_5428,c_148]) ).
tff(c_338,plain,
sum(n1,n10) = n0,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_5432,plain,
sum(n1,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_5428,c_338]) ).
tff(c_5446,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_5428,c_5428,c_160]) ).
tff(c_192,plain,
sum(n8,n6) = n3,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_146,plain,
sum(n10,n7) = n6,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_5457,plain,
sum('#skF_2',n7) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_5428,c_146]) ).
tff(c_140,plain,
sum(n10,n10) = n9,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_5435,plain,
sum('#skF_2','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_5428,c_5428,c_140]) ).
tff(c_5461,plain,
pred(n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_5428,c_402]) ).
tff(c_168,plain,
sum(n9,n7) = n5,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_3317,plain,
n0 = '#skF_1',
inference(splitLeft,[status(thm)],[c_138]) ).
tff(c_3364,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_3317,c_132]) ).
tff(c_3509,plain,
n10 = '#skF_2',
inference(splitLeft,[status(thm)],[c_3315]) ).
tff(c_144,plain,
sum(n10,n8) = n7,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_3527,plain,
sum('#skF_2',n8) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_3509,c_144]) ).
tff(c_3523,plain,
sum('#skF_2',n9) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_3509,c_142]) ).
tff(c_3544,plain,
pred('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_3509,c_382]) ).
tff(c_3333,plain,
sum('#skF_1',n10) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_3317,c_360]) ).
tff(c_3513,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3509,c_3509,c_3333]) ).
tff(c_3351,plain,
pred('#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_3317,c_402]) ).
tff(c_3514,plain,
pred('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3509,c_3351]) ).
tff(c_3331,plain,
sum('#skF_1','#skF_1') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_3317,c_3317,c_3317,c_380]) ).
tff(c_404,plain,
succ(n10) = n0,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_3353,plain,
succ(n10) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_3317,c_404]) ).
tff(c_3515,plain,
succ('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_3509,c_3353]) ).
tff(c_3571,plain,
sum(pred(sum('#skF_1','#skF_1')),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3515,c_134]) ).
tff(c_3572,plain,
sum('#skF_2',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3514,c_3331,c_3571]) ).
tff(c_3697,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3527,c_3523,c_3544,c_3513,c_3572]) ).
tff(c_3698,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118,c_3697]) ).
tff(c_3699,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_3315]) ).
tff(c_3701,plain,
n1 = '#skF_2',
inference(splitLeft,[status(thm)],[c_3699]) ).
tff(c_3733,plain,
sum('#skF_2','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_3701,c_3701,c_356]) ).
tff(c_3342,plain,
sum(n1,'#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_3317,c_358]) ).
tff(c_3704,plain,
sum('#skF_2','#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3701,c_3701,c_3342]) ).
tff(c_3350,plain,
pred(n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_3317,c_400]) ).
tff(c_3706,plain,
pred('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_3701,c_3350]) ).
tff(c_3346,plain,
sum('#skF_1',n1) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_3317,c_378]) ).
tff(c_3705,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3701,c_3701,c_3346]) ).
tff(c_3735,plain,
pred(n2) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3701,c_398]) ).
tff(c_3325,plain,
sum('#skF_1',n2) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_3317,c_376]) ).
tff(c_422,plain,
succ(n1) = n2,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_3736,plain,
succ('#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_3701,c_422]) ).
tff(c_3751,plain,
sum(pred(sum('#skF_1',n2)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3736,c_134]) ).
tff(c_3752,plain,
sum(pred(n2),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3325,c_3751]) ).
tff(c_3889,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3733,c_3704,c_3706,c_3705,c_3735,c_3752]) ).
tff(c_3890,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128,c_3889]) ).
tff(c_3891,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_3699]) ).
tff(c_3893,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_3891]) ).
tff(c_170,plain,
sum(n9,n6) = n4,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_3916,plain,
sum('#skF_2',n6) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_3893,c_170]) ).
tff(c_3908,plain,
sum('#skF_2',n8) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_3893,c_166]) ).
tff(c_3926,plain,
pred('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_3893,c_384]) ).
tff(c_3336,plain,
sum('#skF_1',n9) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_3317,c_362]) ).
tff(c_3895,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3893,c_3893,c_3336]) ).
tff(c_3927,plain,
pred(n10) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3893,c_382]) ).
tff(c_406,plain,
succ(n9) = n10,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_3925,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_3893,c_406]) ).
tff(c_3955,plain,
sum(pred(sum('#skF_1',n10)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3925,c_134]) ).
tff(c_3956,plain,
sum('#skF_2',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3927,c_3333,c_3955]) ).
tff(c_4081,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3916,c_3908,c_3926,c_3895,c_3956]) ).
tff(c_4082,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_124,c_4081]) ).
tff(c_4083,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_3891]) ).
tff(c_4085,plain,
n2 = '#skF_2',
inference(splitLeft,[status(thm)],[c_4083]) ).
tff(c_330,plain,
sum(n2,n3) = n5,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_4093,plain,
sum('#skF_2',n3) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_4085,c_330]) ).
tff(c_4114,plain,
sum('#skF_2',n1) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_4085,c_334]) ).
tff(c_4117,plain,
pred('#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_4085,c_398]) ).
tff(c_4087,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_4085,c_4085,c_3325]) ).
tff(c_4118,plain,
pred(n3) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_4085,c_396]) ).
tff(c_3324,plain,
sum('#skF_1',n3) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_3317,c_374]) ).
tff(c_420,plain,
succ(n2) = n3,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_4120,plain,
succ('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_4085,c_420]) ).
tff(c_4139,plain,
sum(pred(sum('#skF_1',n3)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4120,c_134]) ).
tff(c_4140,plain,
sum('#skF_2',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4118,c_3324,c_4139]) ).
tff(c_4273,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4093,c_4114,c_4117,c_4087,c_4140]) ).
tff(c_4274,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_4273]) ).
tff(c_4275,plain,
( ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_4083]) ).
tff(c_4277,plain,
n8 = '#skF_2',
inference(splitLeft,[status(thm)],[c_4275]) ).
tff(c_196,plain,
sum(n8,n4) = n1,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_4288,plain,
sum('#skF_2',n4) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_4277,c_196]) ).
tff(c_4290,plain,
sum('#skF_2',n7) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_4277,c_190]) ).
tff(c_4309,plain,
pred('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_4277,c_386]) ).
tff(c_3335,plain,
sum('#skF_1',n8) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_3317,c_364]) ).
tff(c_4280,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_4277,c_4277,c_3335]) ).
tff(c_4310,plain,
pred(n9) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_4277,c_384]) ).
tff(c_408,plain,
succ(n8) = n9,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_4311,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_4277,c_408]) ).
tff(c_4335,plain,
sum(pred(sum('#skF_1',n9)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4311,c_134]) ).
tff(c_4336,plain,
sum('#skF_2',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4310,c_3336,c_4335]) ).
tff(c_4465,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4288,c_4290,c_4309,c_4280,c_4336]) ).
tff(c_4466,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130,c_4465]) ).
tff(c_4467,plain,
( ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_4275]) ).
tff(c_4469,plain,
n3 = '#skF_2',
inference(splitLeft,[status(thm)],[c_4467]) ).
tff(c_304,plain,
sum(n3,n5) = n8,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_4489,plain,
sum('#skF_2',n5) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_4469,c_304]) ).
tff(c_4486,plain,
sum('#skF_2',n2) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_4469,c_310]) ).
tff(c_4501,plain,
pred('#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_4469,c_396]) ).
tff(c_4473,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_4469,c_4469,c_3324]) ).
tff(c_4502,plain,
pred(n4) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_4469,c_394]) ).
tff(c_3339,plain,
sum('#skF_1',n4) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_3317,c_372]) ).
tff(c_418,plain,
succ(n3) = n4,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_4504,plain,
succ('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_4469,c_418]) ).
tff(c_4527,plain,
sum(pred(sum('#skF_1',n4)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4504,c_134]) ).
tff(c_4528,plain,
sum('#skF_2',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4502,c_3339,c_4527]) ).
tff(c_4657,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4489,c_4486,c_4501,c_4473,c_4528]) ).
tff(c_4658,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116,c_4657]) ).
tff(c_4659,plain,
( ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_4467]) ).
tff(c_4661,plain,
n7 = '#skF_2',
inference(splitLeft,[status(thm)],[c_4659]) ).
tff(c_222,plain,
sum(n7,n2) = n9,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_4683,plain,
sum('#skF_2',n2) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_4661,c_222]) ).
tff(c_4678,plain,
sum('#skF_2',n6) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_4661,c_214]) ).
tff(c_4695,plain,
pred('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_4661,c_388]) ).
tff(c_3328,plain,
sum('#skF_1',n7) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_3317,c_366]) ).
tff(c_4663,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_4661,c_4661,c_3328]) ).
tff(c_4694,plain,
pred(n8) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_4661,c_386]) ).
tff(c_410,plain,
succ(n7) = n8,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_4696,plain,
succ('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_4661,c_410]) ).
tff(c_4715,plain,
sum(pred(sum('#skF_1',n8)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4696,c_134]) ).
tff(c_4716,plain,
sum('#skF_2',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4694,c_3335,c_4715]) ).
tff(c_4849,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4683,c_4678,c_4695,c_4663,c_4716]) ).
tff(c_4850,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_4849]) ).
tff(c_4851,plain,
( ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_4659]) ).
tff(c_4853,plain,
n4 = '#skF_2',
inference(splitLeft,[status(thm)],[c_4851]) ).
tff(c_278,plain,
sum(n4,n7) = n0,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_3323,plain,
sum(n4,n7) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_3317,c_278]) ).
tff(c_4855,plain,
sum('#skF_2',n7) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_4853,c_3323]) ).
tff(c_4867,plain,
sum('#skF_2',n3) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_4853,c_286]) ).
tff(c_4887,plain,
pred('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_4853,c_394]) ).
tff(c_4854,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_4853,c_4853,c_3339]) ).
tff(c_4886,plain,
pred(n5) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_4853,c_392]) ).
tff(c_3330,plain,
sum('#skF_1',n5) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_3317,c_370]) ).
tff(c_416,plain,
succ(n4) = n5,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_4885,plain,
succ('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_4853,c_416]) ).
tff(c_4903,plain,
sum(pred(sum('#skF_1',n5)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4885,c_134]) ).
tff(c_4904,plain,
sum(pred(n5),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3330,c_4903]) ).
tff(c_5041,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_4855,c_4867,c_4887,c_4854,c_4886,c_4904]) ).
tff(c_5042,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3364,c_5041]) ).
tff(c_5043,plain,
( ( n5 = '#skF_2' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_4851]) ).
tff(c_5045,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_5043]) ).
tff(c_5090,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5045,c_120]) ).
tff(c_3332,plain,
sum(n6,'#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_3317,c_248]) ).
tff(c_5046,plain,
sum('#skF_2','#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_5045,c_5045,c_3332]) ).
tff(c_3347,plain,
sum(n6,n5) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_3317,c_238]) ).
tff(c_5048,plain,
sum('#skF_2',n5) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_5045,c_3347]) ).
tff(c_5079,plain,
pred('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_5045,c_390]) ).
tff(c_3320,plain,
sum('#skF_1',n6) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_3317,c_368]) ).
tff(c_5047,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_5045,c_5045,c_3320]) ).
tff(c_5078,plain,
pred(n7) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_5045,c_388]) ).
tff(c_412,plain,
succ(n6) = n7,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_5077,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_5045,c_412]) ).
tff(c_5095,plain,
sum(pred(sum('#skF_1',n7)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5077,c_134]) ).
tff(c_5096,plain,
sum(pred(n7),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3328,c_5095]) ).
tff(c_5233,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5046,c_5048,c_5079,c_5047,c_5078,c_5096]) ).
tff(c_5234,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5090,c_5233]) ).
tff(c_5235,plain,
n5 = '#skF_2',
inference(splitRight,[status(thm)],[c_5043]) ).
tff(c_252,plain,
sum(n5,n9) = n3,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_5266,plain,
sum('#skF_2',n9) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_5235,c_252]) ).
tff(c_5262,plain,
sum('#skF_2',n4) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_5235,c_262]) ).
tff(c_5270,plain,
pred('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_5235,c_392]) ).
tff(c_5237,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_5235,c_5235,c_3330]) ).
tff(c_5269,plain,
pred(n6) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_5235,c_390]) ).
tff(c_414,plain,
succ(n5) = n6,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_5271,plain,
succ('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_5235,c_414]) ).
tff(c_5290,plain,
sum(pred(sum('#skF_1',n6)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5271,c_134]) ).
tff(c_5291,plain,
sum(pred(n6),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3320,c_5290]) ).
tff(c_5424,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5266,c_5262,c_5270,c_5237,c_5269,c_5291]) ).
tff(c_5425,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126,c_5424]) ).
tff(c_5426,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_138]) ).
tff(c_5619,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(demodulation,[status(thm),theory(equality)],[c_5428,c_5426]) ).
tff(c_5620,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_5619]) ).
tff(c_5441,plain,
sum('#skF_2',n8) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_5428,c_144]) ).
tff(c_5624,plain,
sum('#skF_1',n8) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_5620,c_5441]) ).
tff(c_5460,plain,
pred('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_5428,c_382]) ).
tff(c_5654,plain,
pred('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_5620,c_5460]) ).
tff(c_5629,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_5620,c_5620,c_5446]) ).
tff(c_5622,plain,
sum('#skF_1','#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_5620,c_5620,c_5435]) ).
tff(c_5462,plain,
succ('#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_5428,c_404]) ).
tff(c_5478,plain,
sum(pred(sum('#skF_1',n0)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5462,c_134]) ).
tff(c_5621,plain,
sum(pred(sum('#skF_1',n0)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5620,c_5620,c_5478]) ).
tff(c_5812,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_168,c_5624,c_5654,c_5629,c_384,c_5622,c_5621]) ).
tff(c_5813,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_5812]) ).
tff(c_5814,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_5619]) ).
tff(c_5816,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_5814]) ).
tff(c_5819,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_5816,c_5432]) ).
tff(c_5849,plain,
pred('#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_5816,c_400]) ).
tff(c_5838,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_5816,c_5816,c_358]) ).
tff(c_5882,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5838,c_5478]) ).
tff(c_5883,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5849,c_5882]) ).
tff(c_6004,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_362,c_5435,c_5461,c_5819,c_5883]) ).
tff(c_6005,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_6004]) ).
tff(c_6006,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_5814]) ).
tff(c_6008,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_6006]) ).
tff(c_162,plain,
sum(n9,n10) = n8,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_5433,plain,
sum(n9,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_5428,c_162]) ).
tff(c_6011,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_6008,c_5433]) ).
tff(c_6042,plain,
pred('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_6008,c_384]) ).
tff(c_6035,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_6008,c_6008,c_182]) ).
tff(c_6134,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_6035,c_5478]) ).
tff(c_6135,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_6042,c_6134]) ).
tff(c_6196,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_192,c_5457,c_386,c_6011,c_6135]) ).
tff(c_6197,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126,c_6196]) ).
tff(c_6198,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_6006]) ).
tff(c_6200,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_6198]) ).
tff(c_316,plain,
sum(n2,n10) = n1,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_5438,plain,
sum(n2,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_5428,c_316]) ).
tff(c_6202,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_6200,c_5438]) ).
tff(c_6232,plain,
pred('#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_6200,c_398]) ).
tff(c_6215,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_6200,c_6200,c_336]) ).
tff(c_6338,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_6215,c_5478]) ).
tff(c_6339,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_6232,c_6338]) ).
tff(c_6388,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5432,c_5446,c_400,c_6202,c_6339]) ).
tff(c_6389,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132,c_6388]) ).
tff(c_6390,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_6198]) ).
tff(c_6392,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_6390]) ).
tff(c_5452,plain,
sum(n8,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_5428,c_184]) ).
tff(c_6395,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_6392,c_5452]) ).
tff(c_6424,plain,
pred('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_6392,c_386]) ).
tff(c_6414,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_6392,c_6392,c_204]) ).
tff(c_6458,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_6414,c_5478]) ).
tff(c_6459,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_6424,c_6458]) ).
tff(c_6580,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_216,c_5456,c_388,c_6395,c_6459]) ).
tff(c_6581,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130,c_6580]) ).
tff(c_6582,plain,
( ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_6390]) ).
tff(c_6584,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_6582]) ).
tff(c_294,plain,
sum(n3,n10) = n2,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_5448,plain,
sum(n3,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_5428,c_294]) ).
tff(c_6590,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_6584,c_5448]) ).
tff(c_6616,plain,
pred('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_6584,c_396]) ).
tff(c_6602,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_6584,c_6584,c_314]) ).
tff(c_6686,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_6602,c_5478]) ).
tff(c_6687,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_6616,c_6686]) ).
tff(c_6772,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_336,c_5458,c_398,c_6590,c_6687]) ).
tff(c_6773,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128,c_6772]) ).
tff(c_6774,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_6582]) ).
tff(c_6776,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_6774]) ).
tff(c_206,plain,
sum(n7,n10) = n6,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_5447,plain,
sum(n7,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_5428,c_206]) ).
tff(c_6778,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_6776,c_5447]) ).
tff(c_6810,plain,
pred('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_6776,c_388]) ).
tff(c_6785,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_6776,c_6776,c_226]) ).
tff(c_6878,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_6785,c_5478]) ).
tff(c_6879,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_6810,c_6878]) ).
tff(c_6964,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5450,c_5439,c_390,c_6778,c_6879]) ).
tff(c_6965,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5469,c_6964]) ).
tff(c_6966,plain,
( ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_6774]) ).
tff(c_6968,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_6966]) ).
tff(c_7013,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_6968,c_124]) ).
tff(c_6985,plain,
sum(n3,n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_6968,c_312]) ).
tff(c_5431,plain,
sum('#skF_2',n2) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_5428,c_156]) ).
tff(c_272,plain,
sum(n4,n10) = n3,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_5444,plain,
sum(n4,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_5428,c_272]) ).
tff(c_6971,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_6968,c_5444]) ).
tff(c_7002,plain,
pred('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_6968,c_394]) ).
tff(c_6999,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_6968,c_6968,c_292]) ).
tff(c_7046,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_6999,c_5478]) ).
tff(c_7047,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_7002,c_7046]) ).
tff(c_7156,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_6985,c_5431,c_396,c_6971,c_7047]) ).
tff(c_7157,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7013,c_7156]) ).
tff(c_7158,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_6966]) ).
tff(c_7160,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_7158]) ).
tff(c_228,plain,
sum(n6,n10) = n5,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_5454,plain,
sum(n6,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_5428,c_228]) ).
tff(c_7164,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_7160,c_5454]) ).
tff(c_7194,plain,
pred('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_7160,c_390]) ).
tff(c_7174,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_7160,c_7160,c_248]) ).
tff(c_7262,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_7174,c_5478]) ).
tff(c_7263,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_7194,c_7262]) ).
tff(c_7348,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_264,c_5430,c_392,c_7164,c_7263]) ).
tff(c_7349,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116,c_7348]) ).
tff(c_7350,plain,
n5 = '#skF_1',
inference(splitRight,[status(thm)],[c_7158]) ).
tff(c_7385,plain,
pred('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_7350,c_392]) ).
tff(c_7359,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_7350,c_7350,c_270]) ).
tff(c_5437,plain,
sum('#skF_2',n3) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_5428,c_154]) ).
tff(c_250,plain,
sum(n5,n10) = n4,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_5442,plain,
sum(n5,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_5428,c_250]) ).
tff(c_7352,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_7350,c_5442]) ).
tff(c_7465,plain,
sum(pred(sum('#skF_1',n0)),sum('#skF_2',pred(n4))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_7352,c_5478]) ).
tff(c_7466,plain,
sum(pred(sum('#skF_1',n0)),n2) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5437,c_394,c_7465]) ).
tff(c_7539,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_288,c_7385,c_7359,c_7466]) ).
tff(c_7540,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_7539]) ).
tff(c_7541,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_3315]) ).
tff(c_7543,plain,
n1 = '#skF_2',
inference(splitLeft,[status(thm)],[c_7541]) ).
tff(c_7588,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_7543,c_130]) ).
tff(c_236,plain,
sum(n6,n6) = n1,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_7567,plain,
sum(n6,n6) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_7543,c_236]) ).
tff(c_212,plain,
sum(n7,n7) = n3,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_260,plain,
sum(n5,n5) = n10,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_188,plain,
sum(n8,n8) = n5,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_284,plain,
sum(n4,n4) = n8,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_164,plain,
sum(n9,n9) = n7,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_308,plain,
sum(n3,n3) = n6,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_332,plain,
sum(n2,n2) = n4,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_7734,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(demodulation,[status(thm),theory(equality)],[c_7543,c_5426]) ).
tff(c_7735,plain,
n10 = '#skF_1',
inference(splitLeft,[status(thm)],[c_7734]) ).
tff(c_7546,plain,
sum('#skF_2',n10) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_7543,c_338]) ).
tff(c_7736,plain,
sum('#skF_2','#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_7735,c_7546]) ).
tff(c_7769,plain,
pred(n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_7735,c_402]) ).
tff(c_7573,plain,
sum(n10,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_7543,c_158]) ).
tff(c_7739,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_7735,c_7573]) ).
tff(c_7575,plain,
pred('#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_7543,c_400]) ).
tff(c_7545,plain,
sum(n10,n2) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_7543,c_156]) ).
tff(c_7738,plain,
sum('#skF_1',n2) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_7735,c_7545]) ).
tff(c_7576,plain,
succ('#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_7543,c_422]) ).
tff(c_7597,plain,
sum(pred(sum('#skF_1',n2)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_7576,c_134]) ).
tff(c_7897,plain,
sum(pred('#skF_2'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_7597]) ).
tff(c_7898,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_7575,c_7897]) ).
tff(c_7923,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_380,c_7736,c_7769,c_7739,c_7898]) ).
tff(c_7924,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132,c_7923]) ).
tff(c_7925,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_7734]) ).
tff(c_7927,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_7925]) ).
tff(c_354,plain,
sum(n1,n2) = n3,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_7552,plain,
sum('#skF_2',n2) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_7543,c_354]) ).
tff(c_7942,plain,
sum('#skF_1',n2) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_7927,c_7552]) ).
tff(c_7571,plain,
sum('#skF_2','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_7543,c_7543,c_356]) ).
tff(c_7950,plain,
sum('#skF_1','#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_7927,c_7927,c_7571]) ).
tff(c_7574,plain,
pred(n2) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_7543,c_398]) ).
tff(c_7960,plain,
pred(n2) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_7927,c_7574]) ).
tff(c_7928,plain,
sum(pred(sum('#skF_1',n2)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_7927,c_7927,c_7597]) ).
tff(c_8119,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_332,c_396,c_7942,c_7950,c_7960,c_7950,c_7928]) ).
tff(c_8120,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_124,c_8119]) ).
tff(c_8121,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_7925]) ).
tff(c_8123,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_8121]) ).
tff(c_8165,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_8123,c_114]) ).
tff(c_8134,plain,
sum(n10,n10) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_8123,c_140]) ).
tff(c_340,plain,
sum(n1,n9) = n10,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_7558,plain,
sum('#skF_2',n9) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_7543,c_340]) ).
tff(c_8128,plain,
sum('#skF_2','#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_8123,c_7558]) ).
tff(c_8157,plain,
pred(n10) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_8123,c_382]) ).
tff(c_7563,plain,
sum(n9,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_7543,c_180]) ).
tff(c_8127,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_8123,c_7563]) ).
tff(c_178,plain,
sum(n9,n2) = n0,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_8151,plain,
sum('#skF_1',n2) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_8123,c_178]) ).
tff(c_8265,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_8151,c_7597]) ).
tff(c_8266,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_402,c_8265]) ).
tff(c_8311,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_8134,c_8128,c_8157,c_8127,c_8266]) ).
tff(c_8312,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8165,c_8311]) ).
tff(c_8313,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_8121]) ).
tff(c_8315,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_8313]) ).
tff(c_8318,plain,
sum('#skF_2','#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_8315,c_7552]) ).
tff(c_8350,plain,
pred(n3) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_8315,c_396]) ).
tff(c_7572,plain,
sum(n2,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_7543,c_334]) ).
tff(c_8321,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_8315,c_7572]) ).
tff(c_8345,plain,
sum('#skF_1','#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_8315,c_8315,c_332]) ).
tff(c_8316,plain,
sum(pred(sum('#skF_1','#skF_1')),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_8315,c_7597]) ).
tff(c_8502,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_308,c_8318,c_8350,c_8321,c_394,c_8345,c_8316]) ).
tff(c_8503,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_8502]) ).
tff(c_8504,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_8313]) ).
tff(c_8506,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_8504]) ).
tff(c_342,plain,
sum(n1,n8) = n9,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_7569,plain,
sum('#skF_2',n8) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_7543,c_342]) ).
tff(c_8509,plain,
sum('#skF_2','#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_8506,c_7569]) ).
tff(c_8539,plain,
pred(n9) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_8506,c_384]) ).
tff(c_7561,plain,
sum(n8,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_7543,c_202]) ).
tff(c_8507,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_8506,c_7561]) ).
tff(c_200,plain,
sum(n8,n2) = n10,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_8530,plain,
sum('#skF_1',n2) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_8506,c_200]) ).
tff(c_8640,plain,
sum(pred(n10),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_8530,c_7597]) ).
tff(c_8641,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_382,c_8640]) ).
tff(c_8694,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_164,c_8509,c_8539,c_8507,c_8641]) ).
tff(c_8695,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118,c_8694]) ).
tff(c_8696,plain,
( ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_8504]) ).
tff(c_8698,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_8696]) ).
tff(c_352,plain,
sum(n1,n3) = n4,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_7553,plain,
sum('#skF_2',n3) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_7543,c_352]) ).
tff(c_8700,plain,
sum('#skF_2','#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_8698,c_7553]) ).
tff(c_8731,plain,
pred(n4) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_8698,c_394]) ).
tff(c_7554,plain,
sum(n3,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_7543,c_312]) ).
tff(c_8701,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_8698,c_7554]) ).
tff(c_8717,plain,
sum('#skF_1',n2) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_8698,c_310]) ).
tff(c_8840,plain,
sum(pred(n5),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_8717,c_7597]) ).
tff(c_8841,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_392,c_8840]) ).
tff(c_8886,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_284,c_8700,c_8731,c_8701,c_8841]) ).
tff(c_8887,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116,c_8886]) ).
tff(c_8888,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_8696]) ).
tff(c_8890,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_8888]) ).
tff(c_344,plain,
sum(n1,n7) = n8,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_7547,plain,
sum('#skF_2',n7) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_7543,c_344]) ).
tff(c_8896,plain,
sum('#skF_2','#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_8890,c_7547]) ).
tff(c_8923,plain,
pred(n8) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_8890,c_386]) ).
tff(c_7570,plain,
sum(n7,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_7543,c_224]) ).
tff(c_8894,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_8890,c_7570]) ).
tff(c_8913,plain,
sum('#skF_1',n2) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_8890,c_222]) ).
tff(c_9036,plain,
sum(pred(n9),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_8913,c_7597]) ).
tff(c_9037,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_384,c_9036]) ).
tff(c_9078,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_188,c_8896,c_8923,c_8894,c_9037]) ).
tff(c_9079,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_9078]) ).
tff(c_9080,plain,
( ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_8888]) ).
tff(c_9082,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_9080]) ).
tff(c_350,plain,
sum(n1,n4) = n5,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_7557,plain,
sum('#skF_2',n4) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_7543,c_350]) ).
tff(c_9083,plain,
sum('#skF_2','#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_9082,c_7557]) ).
tff(c_9115,plain,
pred(n5) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_9082,c_392]) ).
tff(c_7564,plain,
sum(n4,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_7543,c_290]) ).
tff(c_9084,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_9082,c_7564]) ).
tff(c_9100,plain,
sum('#skF_1',n2) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_9082,c_288]) ).
tff(c_9176,plain,
sum(pred(n6),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_9100,c_7597]) ).
tff(c_9177,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_9176]) ).
tff(c_9270,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_260,c_9083,c_9115,c_9084,c_9177]) ).
tff(c_9271,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_9270]) ).
tff(c_9272,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_9080]) ).
tff(c_9274,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_9272]) ).
tff(c_346,plain,
sum(n1,n6) = n7,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_7559,plain,
sum('#skF_2',n6) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_7543,c_346]) ).
tff(c_9276,plain,
sum('#skF_2','#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_9274,c_7559]) ).
tff(c_9307,plain,
pred(n7) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_9274,c_388]) ).
tff(c_7566,plain,
sum(n6,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_7543,c_246]) ).
tff(c_9278,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_9274,c_7566]) ).
tff(c_244,plain,
sum(n6,n2) = n8,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_9304,plain,
sum('#skF_1',n2) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_9274,c_244]) ).
tff(c_9436,plain,
sum(pred(n8),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_9304,c_7597]) ).
tff(c_9437,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_386,c_9436]) ).
tff(c_9462,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_212,c_9276,c_9307,c_9278,c_9437]) ).
tff(c_9463,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126,c_9462]) ).
tff(c_9464,plain,
n5 = '#skF_1',
inference(splitRight,[status(thm)],[c_9272]) ).
tff(c_348,plain,
sum(n1,n5) = n6,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_7555,plain,
sum('#skF_2',n5) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_7543,c_348]) ).
tff(c_9468,plain,
sum('#skF_2','#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_9464,c_7555]) ).
tff(c_9498,plain,
pred(n6) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_9464,c_390]) ).
tff(c_7560,plain,
sum(n5,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_7543,c_268]) ).
tff(c_9470,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_9464,c_7560]) ).
tff(c_266,plain,
sum(n5,n2) = n7,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_9488,plain,
sum('#skF_1',n2) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_9464,c_266]) ).
tff(c_9579,plain,
sum(pred(n7),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_9488,c_7597]) ).
tff(c_9580,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_388,c_9579]) ).
tff(c_9653,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_7567,c_9468,c_9498,c_9470,c_9580]) ).
tff(c_9654,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7588,c_9653]) ).
tff(c_9655,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_7541]) ).
tff(c_9657,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_9655]) ).
tff(c_10030,plain,
sum('#skF_2',n2) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_178]) ).
tff(c_176,plain,
sum(n9,n3) = n1,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_10013,plain,
sum('#skF_2',n3) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_176]) ).
tff(c_10029,plain,
sum('#skF_2',n1) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_180]) ).
tff(c_10020,plain,
sum(n1,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_340]) ).
tff(c_10028,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_9657,c_182]) ).
tff(c_10047,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_114]) ).
tff(c_242,plain,
sum(n6,n3) = n9,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_10031,plain,
sum(n6,n3) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_242]) ).
tff(c_172,plain,
sum(n9,n5) = n3,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_10019,plain,
sum('#skF_2',n5) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_172]) ).
tff(c_10008,plain,
sum('#skF_2',n10) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_162]) ).
tff(c_218,plain,
sum(n7,n4) = n0,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_10014,plain,
sum('#skF_2','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_9657,c_164]) ).
tff(c_10038,plain,
pred(n10) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_382]) ).
tff(c_194,plain,
sum(n8,n5) = n2,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_9674,plain,
sum('#skF_2',n7) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_168]) ).
tff(c_9658,plain,
n10 = '#skF_1',
inference(splitLeft,[status(thm)],[c_5426]) ).
tff(c_9663,plain,
sum(n10,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_142]) ).
tff(c_9993,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_9658,c_9663]) ).
tff(c_9690,plain,
pred('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_384]) ).
tff(c_9662,plain,
sum(n10,n10) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_140]) ).
tff(c_9793,plain,
sum('#skF_1','#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_9658,c_9658,c_9662]) ).
tff(c_9689,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_406]) ).
tff(c_9750,plain,
succ('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_9658,c_9689]) ).
tff(c_9751,plain,
sum(pred(sum('#skF_1','#skF_1')),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_9750,c_134]) ).
tff(c_10002,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_194,c_9674,c_386,c_9993,c_9690,c_9793,c_9751]) ).
tff(c_10003,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128,c_10002]) ).
tff(c_10004,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_5426]) ).
tff(c_10196,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(demodulation,[status(thm),theory(equality)],[c_9657,c_10004]) ).
tff(c_10197,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_10196]) ).
tff(c_10203,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_10197,c_10020]) ).
tff(c_10207,plain,
sum('#skF_1',n10) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_10197,c_338]) ).
tff(c_10036,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_406]) ).
tff(c_10063,plain,
sum(pred(sum('#skF_1',n10)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_10036,c_134]) ).
tff(c_10267,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_10207,c_10063]) ).
tff(c_10268,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_402,c_10267]) ).
tff(c_10385,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_146,c_10014,c_10038,c_10203,c_10268]) ).
tff(c_10386,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_10385]) ).
tff(c_10387,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_10196]) ).
tff(c_10389,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_10387]) ).
tff(c_10025,plain,
sum('#skF_2',n6) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_170]) ).
tff(c_10397,plain,
sum('#skF_1',n6) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_10389,c_10025]) ).
tff(c_10404,plain,
sum('#skF_1','#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_10389,c_10389,c_10014]) ).
tff(c_10419,plain,
sum('#skF_1',n10) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_10389,c_10008]) ).
tff(c_10390,plain,
sum(pred(sum('#skF_1',n10)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_10389,c_10389,c_10063]) ).
tff(c_10581,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_218,c_10397,c_388,c_10404,c_386,c_10419,c_10390]) ).
tff(c_10582,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132,c_10581]) ).
tff(c_10583,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_10387]) ).
tff(c_10585,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_10583]) ).
tff(c_10015,plain,
sum(n2,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_318]) ).
tff(c_10589,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_10585,c_10015]) ).
tff(c_10598,plain,
sum('#skF_1',n10) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_10585,c_316]) ).
tff(c_10743,plain,
sum(pred(n1),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_10598,c_10063]) ).
tff(c_10744,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_400,c_10743]) ).
tff(c_10773,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_364,c_10008,c_402,c_10589,c_10744]) ).
tff(c_10774,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116,c_10773]) ).
tff(c_10775,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_10583]) ).
tff(c_10777,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_10775]) ).
tff(c_186,plain,
sum(n8,n9) = n6,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_10027,plain,
sum(n8,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_186]) ).
tff(c_10779,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_10777,c_10027]) ).
tff(c_10805,plain,
sum('#skF_1',n10) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_10777,c_184]) ).
tff(c_10919,plain,
sum(pred(n7),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_10805,c_10063]) ).
tff(c_10920,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_388,c_10919]) ).
tff(c_10965,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_10031,c_10019,c_390,c_10779,c_10920]) ).
tff(c_10966,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10047,c_10965]) ).
tff(c_10967,plain,
( ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_10775]) ).
tff(c_10969,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_10967]) ).
tff(c_296,plain,
sum(n3,n9) = n1,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_10032,plain,
sum(n3,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_296]) ).
tff(c_10974,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_10969,c_10032]) ).
tff(c_10996,plain,
sum('#skF_1',n10) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_10969,c_294]) ).
tff(c_11087,plain,
sum(pred(n2),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_10996,c_10063]) ).
tff(c_11088,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_398,c_11087]) ).
tff(c_11157,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_10020,c_10028,c_400,c_10974,c_11088]) ).
tff(c_11158,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_11157]) ).
tff(c_11159,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_10967]) ).
tff(c_11161,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_11159]) ).
tff(c_11204,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_11161,c_118]) ).
tff(c_11183,plain,
sum(n5,n2) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_11161,c_266]) ).
tff(c_174,plain,
sum(n9,n4) = n2,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_10035,plain,
sum('#skF_2',n4) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_174]) ).
tff(c_208,plain,
sum(n7,n9) = n5,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_10023,plain,
sum(n7,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_208]) ).
tff(c_11166,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_11161,c_10023]) ).
tff(c_11186,plain,
sum('#skF_1',n10) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_11161,c_206]) ).
tff(c_11287,plain,
sum(pred(n6),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_11186,c_10063]) ).
tff(c_11288,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_11287]) ).
tff(c_11349,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_11183,c_10035,c_392,c_11166,c_11288]) ).
tff(c_11350,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11204,c_11349]) ).
tff(c_11351,plain,
( ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_11159]) ).
tff(c_11353,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_11351]) ).
tff(c_274,plain,
sum(n4,n9) = n2,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_10018,plain,
sum(n4,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_274]) ).
tff(c_11354,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_11353,c_10018]) ).
tff(c_11376,plain,
sum('#skF_1',n10) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_11353,c_272]) ).
tff(c_11507,plain,
sum(pred(n3),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_11376,c_10063]) ).
tff(c_11508,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_396,c_11507]) ).
tff(c_11541,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_316,c_10029,c_398,c_11354,c_11508]) ).
tff(c_11542,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130,c_11541]) ).
tff(c_11543,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_11351]) ).
tff(c_11545,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_11543]) ).
tff(c_230,plain,
sum(n6,n9) = n4,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_10006,plain,
sum(n6,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_230]) ).
tff(c_11549,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_11545,c_10006]) ).
tff(c_11569,plain,
sum('#skF_1',n10) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_11545,c_228]) ).
tff(c_11687,plain,
sum(pred(n5),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_11569,c_10063]) ).
tff(c_11688,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_392,c_11687]) ).
tff(c_11733,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_290,c_10013,c_394,c_11549,c_11688]) ).
tff(c_11734,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_11733]) ).
tff(c_11735,plain,
n5 = '#skF_1',
inference(splitRight,[status(thm)],[c_11543]) ).
tff(c_10033,plain,
sum(n5,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_9657,c_252]) ).
tff(c_11741,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_11735,c_10033]) ).
tff(c_11753,plain,
sum('#skF_1',n10) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_11735,c_250]) ).
tff(c_11814,plain,
sum(pred(n4),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_11753,c_10063]) ).
tff(c_11815,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_394,c_11814]) ).
tff(c_11924,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_314,c_10030,c_396,c_11741,c_11815]) ).
tff(c_11925,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126,c_11924]) ).
tff(c_11926,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_9655]) ).
tff(c_11928,plain,
n2 = '#skF_2',
inference(splitLeft,[status(thm)],[c_11926]) ).
tff(c_11973,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_11928,c_128]) ).
tff(c_234,plain,
sum(n6,n7) = n2,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_11938,plain,
sum(n6,n7) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_11928,c_234]) ).
tff(c_326,plain,
sum(n2,n5) = n7,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_11945,plain,
sum('#skF_2',n5) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_11928,c_326]) ).
tff(c_320,plain,
sum(n2,n8) = n10,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_11949,plain,
sum('#skF_2',n8) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_11928,c_320]) ).
tff(c_258,plain,
sum(n5,n6) = n0,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_328,plain,
sum(n2,n4) = n6,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_11947,plain,
sum('#skF_2',n4) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_11928,c_328]) ).
tff(c_11935,plain,
sum('#skF_2',n9) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_11928,c_318]) ).
tff(c_282,plain,
sum(n4,n5) = n9,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_11936,plain,
sum('#skF_2',n10) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_11928,c_316]) ).
tff(c_306,plain,
sum(n3,n4) = n7,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_11952,plain,
sum('#skF_2','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_11928,c_11928,c_332]) ).
tff(c_11960,plain,
pred(n3) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_11928,c_396]) ).
tff(c_11937,plain,
sum(n1,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_11928,c_354]) ).
tff(c_11939,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_11928,c_11928,c_336]) ).
tff(c_12119,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(demodulation,[status(thm),theory(equality)],[c_11928,c_5426]) ).
tff(c_12120,plain,
n10 = '#skF_1',
inference(splitLeft,[status(thm)],[c_12119]) ).
tff(c_11929,plain,
sum(n10,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_11928,c_156]) ).
tff(c_12121,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_12120,c_11929]) ).
tff(c_11959,plain,
pred('#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_11928,c_398]) ).
tff(c_11934,plain,
sum(n10,n3) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_11928,c_154]) ).
tff(c_12126,plain,
sum('#skF_1',n3) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_12120,c_11934]) ).
tff(c_11962,plain,
succ('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_11928,c_420]) ).
tff(c_11986,plain,
sum(pred(sum('#skF_1',n3)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_11962,c_134]) ).
tff(c_12282,plain,
sum(pred('#skF_2'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_12126,c_11986]) ).
tff(c_12283,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_11959,c_12282]) ).
tff(c_12308,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_11937,c_11939,c_400,c_12121,c_12283]) ).
tff(c_12309,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126,c_12308]) ).
tff(c_12310,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_12119]) ).
tff(c_12312,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_12310]) ).
tff(c_12316,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_12312,c_11937]) ).
tff(c_12327,plain,
sum('#skF_1',n3) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_12312,c_352]) ).
tff(c_12390,plain,
sum(pred(n4),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_12327,c_11986]) ).
tff(c_12391,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_394,c_12390]) ).
tff(c_12500,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_306,c_11952,c_11960,c_12316,c_12391]) ).
tff(c_12501,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118,c_12500]) ).
tff(c_12502,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_12310]) ).
tff(c_12504,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_12502]) ).
tff(c_11953,plain,
sum(n9,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_11928,c_178]) ).
tff(c_12508,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_12504,c_11953]) ).
tff(c_12518,plain,
sum('#skF_1',n3) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_12504,c_176]) ).
tff(c_12662,plain,
sum(pred(n1),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_12518,c_11986]) ).
tff(c_12663,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_400,c_12662]) ).
tff(c_12692,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_378,c_11936,c_402,c_12508,c_12663]) ).
tff(c_12693,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130,c_12692]) ).
tff(c_12694,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_12502]) ).
tff(c_12696,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_12694]) ).
tff(c_11931,plain,
sum('#skF_2',n3) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_11928,c_330]) ).
tff(c_12702,plain,
sum('#skF_1',n3) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_12696,c_11931]) ).
tff(c_12714,plain,
sum('#skF_1','#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_12696,c_12696,c_11952]) ).
tff(c_12697,plain,
sum(pred(sum('#skF_1',n3)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_12696,c_12696,c_11986]) ).
tff(c_12888,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_282,c_12702,c_392,c_12702,c_394,c_12714,c_12697]) ).
tff(c_12889,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_12888]) ).
tff(c_12890,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_12694]) ).
tff(c_12892,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_12890]) ).
tff(c_11951,plain,
sum(n8,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_11928,c_200]) ).
tff(c_12895,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_12892,c_11951]) ).
tff(c_198,plain,
sum(n8,n3) = n0,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_12905,plain,
sum('#skF_1',n3) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_12892,c_198]) ).
tff(c_13050,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_12905,c_11986]) ).
tff(c_13051,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_402,c_13050]) ).
tff(c_13080,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_160,c_11935,c_382,c_12895,c_13051]) ).
tff(c_13081,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_13080]) ).
tff(c_13082,plain,
( ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_12890]) ).
tff(c_13084,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_13082]) ).
tff(c_11942,plain,
sum(n3,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_11928,c_310]) ).
tff(c_13086,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_13084,c_11942]) ).
tff(c_13107,plain,
sum('#skF_1','#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_13084,c_13084,c_308]) ).
tff(c_13085,plain,
sum(pred(sum('#skF_1','#skF_1')),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_13084,c_11986]) ).
tff(c_13271,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_258,c_11947,c_392,c_13086,c_390,c_13107,c_13085]) ).
tff(c_13272,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132,c_13271]) ).
tff(c_13273,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_13082]) ).
tff(c_13275,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_13273]) ).
tff(c_11948,plain,
sum(n7,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_11928,c_222]) ).
tff(c_13276,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_13275,c_11948]) ).
tff(c_220,plain,
sum(n7,n3) = n10,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_13304,plain,
sum('#skF_1',n3) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_13275,c_220]) ).
tff(c_13389,plain,
sum(pred(n10),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_13304,c_11986]) ).
tff(c_13390,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_382,c_13389]) ).
tff(c_13463,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_162,c_11949,c_384,c_13276,c_13390]) ).
tff(c_13464,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116,c_13463]) ).
tff(c_13465,plain,
( ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_13273]) ).
tff(c_13467,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_13465]) ).
tff(c_11943,plain,
sum(n4,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_11928,c_288]) ).
tff(c_13472,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_13467,c_11943]) ).
tff(c_13483,plain,
sum('#skF_1',n3) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_13467,c_286]) ).
tff(c_13537,plain,
sum(pred(n7),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_13483,c_11986]) ).
tff(c_13538,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_388,c_13537]) ).
tff(c_13655,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_11938,c_11945,c_390,c_13472,c_13538]) ).
tff(c_13656,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11973,c_13655]) ).
tff(c_13657,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_13465]) ).
tff(c_13659,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_13657]) ).
tff(c_13704,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_13659,c_120]) ).
tff(c_13682,plain,
sum(n8,n9) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_13659,c_186]) ).
tff(c_322,plain,
sum(n2,n7) = n9,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_11932,plain,
sum('#skF_2',n7) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_11928,c_322]) ).
tff(c_11957,plain,
sum(n6,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_11928,c_244]) ).
tff(c_13664,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_13659,c_11957]) ).
tff(c_13683,plain,
sum('#skF_1',n3) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_13659,c_242]) ).
tff(c_13801,plain,
sum(pred(n9),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_13683,c_11986]) ).
tff(c_13802,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_384,c_13801]) ).
tff(c_13847,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_13682,c_11932,c_386,c_13664,c_13802]) ).
tff(c_13848,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13704,c_13847]) ).
tff(c_13849,plain,
n5 = '#skF_1',
inference(splitRight,[status(thm)],[c_13657]) ).
tff(c_13875,plain,
sum('#skF_1',n3) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_13849,c_264]) ).
tff(c_324,plain,
sum(n2,n6) = n8,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_11940,plain,
sum('#skF_2',n6) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_11928,c_324]) ).
tff(c_11946,plain,
sum(n5,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_11928,c_266]) ).
tff(c_13853,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_13849,c_11946]) ).
tff(c_13916,plain,
sum(pred(sum('#skF_1',n3)),sum('#skF_2',pred(n7))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_13853,c_11986]) ).
tff(c_13917,plain,
sum(pred(sum('#skF_1',n3)),n8) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_11940,c_388,c_13916]) ).
tff(c_14038,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_210,c_386,c_13875,c_13917]) ).
tff(c_14039,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_124,c_14038]) ).
tff(c_14040,plain,
( ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_11926]) ).
tff(c_14042,plain,
n8 = '#skF_2',
inference(splitLeft,[status(thm)],[c_14040]) ).
tff(c_14062,plain,
sum('#skF_2',n1) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_14042,c_202]) ).
tff(c_14063,plain,
sum('#skF_2',n2) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_14042,c_200]) ).
tff(c_14069,plain,
sum(n1,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_14042,c_342]) ).
tff(c_14061,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_14042,c_14042,c_204]) ).
tff(c_14049,plain,
sum('#skF_2',n3) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_14042,c_198]) ).
tff(c_14066,plain,
sum('#skF_2',n10) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_14042,c_184]) ).
tff(c_14065,plain,
sum('#skF_2',n9) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_14042,c_186]) ).
tff(c_14084,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_14042,c_116]) ).
tff(c_14071,plain,
sum(n6,n2) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_14042,c_244]) ).
tff(c_14046,plain,
sum('#skF_2',n5) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_14042,c_194]) ).
tff(c_14053,plain,
sum('#skF_2','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_14042,c_14042,c_188]) ).
tff(c_14074,plain,
pred(n9) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_14042,c_384]) ).
tff(c_14233,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(demodulation,[status(thm),theory(equality)],[c_14042,c_5426]) ).
tff(c_14234,plain,
n10 = '#skF_1',
inference(splitLeft,[status(thm)],[c_14233]) ).
tff(c_14276,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_14234,c_112]) ).
tff(c_14262,plain,
sum(n7,n3) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_14234,c_220]) ).
tff(c_14051,plain,
sum('#skF_2',n6) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_14042,c_192]) ).
tff(c_14055,plain,
sum(n10,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_14042,c_144]) ).
tff(c_14236,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_14234,c_14055]) ).
tff(c_14073,plain,
pred('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_14042,c_386]) ).
tff(c_14047,plain,
sum(n10,n9) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_14042,c_142]) ).
tff(c_14240,plain,
sum('#skF_1',n9) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_14234,c_14047]) ).
tff(c_14075,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_14042,c_408]) ).
tff(c_14100,plain,
sum(pred(sum('#skF_1',n9)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_14075,c_134]) ).
tff(c_14400,plain,
sum(pred('#skF_2'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_14240,c_14100]) ).
tff(c_14401,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_14073,c_14400]) ).
tff(c_14422,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_14262,c_14051,c_388,c_14236,c_14401]) ).
tff(c_14423,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14276,c_14422]) ).
tff(c_14424,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_14233]) ).
tff(c_14426,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_14424]) ).
tff(c_14431,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_14426,c_14069]) ).
tff(c_14445,plain,
sum('#skF_1',n9) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_14426,c_340]) ).
tff(c_14500,plain,
sum(pred(n10),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_14445,c_14100]) ).
tff(c_14501,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_382,c_14500]) ).
tff(c_14614,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_172,c_14053,c_14074,c_14431,c_14501]) ).
tff(c_14615,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126,c_14614]) ).
tff(c_14616,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_14424]) ).
tff(c_14618,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_14616]) ).
tff(c_14054,plain,
sum(n9,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_14042,c_166]) ).
tff(c_14621,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_14618,c_14054]) ).
tff(c_14635,plain,
sum('#skF_1','#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_14618,c_14618,c_164]) ).
tff(c_14619,plain,
sum(pred(sum('#skF_1','#skF_1')),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_14618,c_14100]) ).
tff(c_14805,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_14071,c_14046,c_390,c_14621,c_388,c_14635,c_14619]) ).
tff(c_14806,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14084,c_14805]) ).
tff(c_14807,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_14616]) ).
tff(c_14809,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_14807]) ).
tff(c_14059,plain,
sum(n2,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_14042,c_320]) ).
tff(c_14815,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_14809,c_14059]) ).
tff(c_14822,plain,
sum('#skF_1',n9) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_14809,c_318]) ).
tff(c_14915,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_14822,c_14100]) ).
tff(c_14916,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_402,c_14915]) ).
tff(c_14997,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_148,c_14065,c_382,c_14815,c_14916]) ).
tff(c_14998,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_14997]) ).
tff(c_14999,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_14807]) ).
tff(c_15001,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_14999]) ).
tff(c_14050,plain,
sum('#skF_2',n4) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_14042,c_196]) ).
tff(c_15014,plain,
sum('#skF_1',n4) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_15001,c_14050]) ).
tff(c_15018,plain,
sum('#skF_1',n9) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_15001,c_14065]) ).
tff(c_15009,plain,
sum('#skF_1','#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_15001,c_15001,c_14053]) ).
tff(c_15002,plain,
sum(pred(sum('#skF_1',n9)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_15001,c_15001,c_14100]) ).
tff(c_15193,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_268,c_15014,c_390,c_15018,c_392,c_15009,c_15002]) ).
tff(c_15194,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_15193]) ).
tff(c_15195,plain,
( ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_14999]) ).
tff(c_15197,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_15195]) ).
tff(c_298,plain,
sum(n3,n8) = n0,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_14048,plain,
sum(n3,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_14042,c_298]) ).
tff(c_15202,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_15197,c_14048]) ).
tff(c_15225,plain,
sum('#skF_1',n9) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_15197,c_296]) ).
tff(c_15347,plain,
sum(pred(n1),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_15225,c_14100]) ).
tff(c_15348,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_400,c_15347]) ).
tff(c_15385,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_366,c_14066,c_402,c_15202,c_15348]) ).
tff(c_15386,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118,c_15385]) ).
tff(c_15387,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_15195]) ).
tff(c_15389,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_15387]) ).
tff(c_14060,plain,
sum(n7,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_14042,c_210]) ).
tff(c_15391,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_15389,c_14060]) ).
tff(c_15417,plain,
sum('#skF_1',n9) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_15389,c_208]) ).
tff(c_15531,plain,
sum(pred(n5),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_15417,c_14100]) ).
tff(c_15532,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_392,c_15531]) ).
tff(c_15577,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_292,c_14049,c_394,c_15391,c_15532]) ).
tff(c_15578,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_124,c_15577]) ).
tff(c_15579,plain,
( ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_15387]) ).
tff(c_15581,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_15579]) ).
tff(c_276,plain,
sum(n4,n8) = n1,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_14045,plain,
sum(n4,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_14042,c_276]) ).
tff(c_15582,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_15581,c_14045]) ).
tff(c_15595,plain,
sum('#skF_1',n9) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_15581,c_274]) ).
tff(c_15699,plain,
sum(pred(n2),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_15595,c_14100]) ).
tff(c_15700,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_398,c_15699]) ).
tff(c_15769,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_14069,c_14061,c_400,c_15582,c_15700]) ).
tff(c_15770,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_15769]) ).
tff(c_15771,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_15579]) ).
tff(c_15773,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_15771]) ).
tff(c_232,plain,
sum(n6,n8) = n3,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_14072,plain,
sum(n6,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_14042,c_232]) ).
tff(c_15778,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_15773,c_14072]) ).
tff(c_15782,plain,
sum('#skF_1',n9) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_15773,c_230]) ).
tff(c_15911,plain,
sum(pred(n4),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_15782,c_14100]) ).
tff(c_15912,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_394,c_15911]) ).
tff(c_15961,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_294,c_14063,c_396,c_15778,c_15912]) ).
tff(c_15962,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128,c_15961]) ).
tff(c_15963,plain,
n5 = '#skF_1',
inference(splitRight,[status(thm)],[c_15771]) ).
tff(c_254,plain,
sum(n5,n8) = n2,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_14067,plain,
sum(n5,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_14042,c_254]) ).
tff(c_15969,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_15963,c_14067]) ).
tff(c_15993,plain,
sum('#skF_1',n9) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_15963,c_252]) ).
tff(c_16050,plain,
sum(pred(n3),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_15993,c_14100]) ).
tff(c_16051,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_396,c_16050]) ).
tff(c_16152,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_318,c_14062,c_398,c_15969,c_16051]) ).
tff(c_16153,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132,c_16152]) ).
tff(c_16154,plain,
( ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_14040]) ).
tff(c_16156,plain,
n3 = '#skF_2',
inference(splitLeft,[status(thm)],[c_16154]) ).
tff(c_300,plain,
sum(n3,n7) = n10,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_16159,plain,
sum('#skF_2',n7) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_300]) ).
tff(c_16163,plain,
sum('#skF_2',n8) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_298]) ).
tff(c_302,plain,
sum(n3,n6) = n9,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_16161,plain,
sum('#skF_2',n6) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_302]) ).
tff(c_16182,plain,
sum('#skF_2',n9) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_296]) ).
tff(c_16179,plain,
sum('#skF_2',n10) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_294]) ).
tff(c_256,plain,
sum(n5,n7) = n1,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_16174,plain,
sum('#skF_2',n4) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_306]) ).
tff(c_16168,plain,
sum(n1,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_352]) ).
tff(c_16170,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_16156,c_314]) ).
tff(c_280,plain,
sum(n4,n6) = n10,
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_16173,plain,
sum('#skF_2','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_16156,c_308]) ).
tff(c_16188,plain,
pred(n4) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_394]) ).
tff(c_16171,plain,
sum('#skF_2',n1) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_312]) ).
tff(c_16347,plain,
( ( n1 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_5426]) ).
tff(c_16348,plain,
n10 = '#skF_1',
inference(splitLeft,[status(thm)],[c_16347]) ).
tff(c_16165,plain,
sum(n10,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_154]) ).
tff(c_16351,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_16348,c_16165]) ).
tff(c_16187,plain,
pred('#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_396]) ).
tff(c_16157,plain,
sum(n10,n4) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_152]) ).
tff(c_16350,plain,
sum('#skF_1',n4) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_16348,c_16157]) ).
tff(c_16190,plain,
succ('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_418]) ).
tff(c_16214,plain,
sum(pred(sum('#skF_1',n4)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_16190,c_134]) ).
tff(c_16522,plain,
sum(pred('#skF_2'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_16350,c_16214]) ).
tff(c_16523,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_16187,c_16522]) ).
tff(c_16536,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_328,c_16171,c_398,c_16351,c_16523]) ).
tff(c_16537,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_16536]) ).
tff(c_16538,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_16347]) ).
tff(c_16540,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_16538]) ).
tff(c_16541,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_16540,c_16168]) ).
tff(c_16557,plain,
sum('#skF_1',n4) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_16540,c_350]) ).
tff(c_16682,plain,
sum(pred(n5),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_16557,c_16214]) ).
tff(c_16683,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_392,c_16682]) ).
tff(c_16728,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_280,c_16173,c_16188,c_16541,c_16683]) ).
tff(c_16729,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_16728]) ).
tff(c_16730,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_16538]) ).
tff(c_16732,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_16730]) ).
tff(c_16162,plain,
sum(n9,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_176]) ).
tff(c_16737,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_16732,c_16162]) ).
tff(c_16763,plain,
sum('#skF_1',n4) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_16732,c_174]) ).
tff(c_16810,plain,
sum(pred(n2),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_16763,c_16214]) ).
tff(c_16811,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_398,c_16810]) ).
tff(c_16920,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_16168,c_16170,c_400,c_16737,c_16811]) ).
tff(c_16921,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_124,c_16920]) ).
tff(c_16922,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_16730]) ).
tff(c_16924,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_16922]) ).
tff(c_16160,plain,
sum(n2,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_330]) ).
tff(c_16927,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_16924,c_16160]) ).
tff(c_16948,plain,
sum('#skF_1',n4) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_16924,c_328]) ).
tff(c_17030,plain,
sum(pred(n6),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_16948,c_16214]) ).
tff(c_17031,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_17030]) ).
tff(c_17112,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_256,c_16174,c_392,c_16927,c_17031]) ).
tff(c_17113,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130,c_17112]) ).
tff(c_17114,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_16922]) ).
tff(c_17116,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_17114]) ).
tff(c_16164,plain,
sum(n8,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_198]) ).
tff(c_17120,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_17116,c_16164]) ).
tff(c_17129,plain,
sum('#skF_1',n4) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_17116,c_196]) ).
tff(c_17222,plain,
sum(pred(n1),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_17129,c_16214]) ).
tff(c_17223,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_400,c_17222]) ).
tff(c_17304,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_376,c_16179,c_402,c_17120,c_17223]) ).
tff(c_17305,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128,c_17304]) ).
tff(c_17306,plain,
( ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_17114]) ).
tff(c_17308,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_17306]) ).
tff(c_16201,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_126]) ).
tff(c_17344,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_17308,c_16201]) ).
tff(c_16186,plain,
sum(n6,n8) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_232]) ).
tff(c_17335,plain,
sum(n6,n8) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_17308,c_16186]) ).
tff(c_16175,plain,
sum('#skF_2',n5) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_304]) ).
tff(c_17337,plain,
sum('#skF_1',n5) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_17308,c_16175]) ).
tff(c_17320,plain,
sum('#skF_1','#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_17308,c_17308,c_16173]) ).
tff(c_17324,plain,
sum('#skF_1',n4) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_17308,c_16174]) ).
tff(c_17309,plain,
sum(pred(sum('#skF_1',n4)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_17308,c_17308,c_16214]) ).
tff(c_17500,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_17335,c_17337,c_390,c_17320,c_388,c_17324,c_17309]) ).
tff(c_17501,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17344,c_17500]) ).
tff(c_17502,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_17306]) ).
tff(c_17504,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_17502]) ).
tff(c_16184,plain,
sum(n7,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_220]) ).
tff(c_17508,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_17504,c_16184]) ).
tff(c_17531,plain,
sum('#skF_1',n4) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_17504,c_218]) ).
tff(c_17626,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_17531,c_16214]) ).
tff(c_17627,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_402,c_17626]) ).
tff(c_17692,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_158,c_16182,c_382,c_17508,c_17627]) ).
tff(c_17693,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132,c_17692]) ).
tff(c_17694,plain,
( ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_17502]) ).
tff(c_17696,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_17694]) ).
tff(c_16169,plain,
sum(n4,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_286]) ).
tff(c_17699,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_17696,c_16169]) ).
tff(c_17728,plain,
sum('#skF_1','#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_17696,c_17696,c_284]) ).
tff(c_17697,plain,
sum(pred(sum('#skF_1','#skF_1')),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_17696,c_16214]) ).
tff(c_17883,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_208,c_16161,c_388,c_17699,c_386,c_17728,c_17697]) ).
tff(c_17884,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_17883]) ).
tff(c_17885,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_17694]) ).
tff(c_17887,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_17885]) ).
tff(c_16181,plain,
sum(n6,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_242]) ).
tff(c_17890,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_17887,c_16181]) ).
tff(c_17908,plain,
sum('#skF_1',n4) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_17887,c_240]) ).
tff(c_17953,plain,
sum(pred(n10),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_17908,c_16214]) ).
tff(c_17954,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_382,c_17953]) ).
tff(c_18075,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_182,c_16163,c_384,c_17890,c_17954]) ).
tff(c_18076,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_18075]) ).
tff(c_18077,plain,
n5 = '#skF_1',
inference(splitRight,[status(thm)],[c_17885]) ).
tff(c_16180,plain,
sum(n5,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_16156,c_264]) ).
tff(c_18082,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_18077,c_16180]) ).
tff(c_18104,plain,
sum('#skF_1',n4) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_18077,c_262]) ).
tff(c_18176,plain,
sum(pred(n9),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_18104,c_16214]) ).
tff(c_18177,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_384,c_18176]) ).
tff(c_18266,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_184,c_16159,c_386,c_18082,c_18177]) ).
tff(c_18267,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118,c_18266]) ).
tff(c_18268,plain,
( ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_16154]) ).
tff(c_18270,plain,
n7 = '#skF_2',
inference(splitLeft,[status(thm)],[c_18268]) ).
tff(c_18274,plain,
sum(n1,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_18270,c_344]) ).
tff(c_18272,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_18270,c_18270,c_226]) ).
tff(c_18300,plain,
sum('#skF_2',n1) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_18270,c_224]) ).
tff(c_18294,plain,
sum('#skF_2',n10) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_18270,c_206]) ).
tff(c_18293,plain,
sum('#skF_2',n9) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_18270,c_208]) ).
tff(c_18298,plain,
sum('#skF_2',n3) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_18270,c_220]) ).
tff(c_18295,plain,
sum('#skF_2',n4) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_18270,c_218]) ).
tff(c_18291,plain,
sum('#skF_2','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_18270,c_18270,c_212]) ).
tff(c_18302,plain,
pred(n8) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_18270,c_386]) ).
tff(c_18313,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_18270,c_118]) ).
tff(c_18297,plain,
sum(n6,n1) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_18270,c_246]) ).
tff(c_18284,plain,
sum('#skF_2',n5) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_18270,c_216]) ).
tff(c_18461,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(demodulation,[status(thm),theory(equality)],[c_18270,c_5426]) ).
tff(c_18462,plain,
n10 = '#skF_1',
inference(splitLeft,[status(thm)],[c_18461]) ).
tff(c_18299,plain,
sum(n10,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_18270,c_146]) ).
tff(c_18468,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_18462,c_18299]) ).
tff(c_18303,plain,
pred('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_18270,c_388]) ).
tff(c_18282,plain,
sum(n10,n8) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_18270,c_144]) ).
tff(c_18463,plain,
sum('#skF_1',n8) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_18462,c_18282]) ).
tff(c_18304,plain,
succ('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_18270,c_410]) ).
tff(c_18328,plain,
sum(pred(sum('#skF_1',n8)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_18304,c_134]) ).
tff(c_18636,plain,
sum(pred('#skF_2'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_18463,c_18328]) ).
tff(c_18637,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_18303,c_18636]) ).
tff(c_18650,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_18297,c_18284,c_390,c_18468,c_18637]) ).
tff(c_18651,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18313,c_18650]) ).
tff(c_18652,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_18461]) ).
tff(c_18654,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_18652]) ).
tff(c_18657,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_18654,c_18274]) ).
tff(c_18682,plain,
sum('#skF_1',n8) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_18654,c_342]) ).
tff(c_18772,plain,
sum(pred(n9),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_18682,c_18328]) ).
tff(c_18773,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_384,c_18772]) ).
tff(c_18842,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_198,c_18291,c_18302,c_18657,c_18773]) ).
tff(c_18843,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132,c_18842]) ).
tff(c_18844,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_18652]) ).
tff(c_18846,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_18844]) ).
tff(c_18286,plain,
sum(n9,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_18270,c_168]) ).
tff(c_18847,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_18846,c_18286]) ).
tff(c_18861,plain,
sum('#skF_1',n8) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_18846,c_166]) ).
tff(c_18928,plain,
sum(pred(n6),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_18861,c_18328]) ).
tff(c_18929,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_18928]) ).
tff(c_19034,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_270,c_18295,c_392,c_18847,c_18929]) ).
tff(c_19035,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_19034]) ).
tff(c_19036,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_18844]) ).
tff(c_19038,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_19036]) ).
tff(c_19083,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_19038,c_128]) ).
tff(c_19069,plain,
sum(n9,n4) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_19038,c_174]) ).
tff(c_18292,plain,
sum('#skF_2',n8) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_18270,c_210]) ).
tff(c_18276,plain,
sum(n2,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_18270,c_322]) ).
tff(c_19043,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_19038,c_18276]) ).
tff(c_19060,plain,
sum('#skF_1',n8) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_19038,c_320]) ).
tff(c_19180,plain,
sum(pred(n10),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_19060,c_18328]) ).
tff(c_19181,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_382,c_19180]) ).
tff(c_19226,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_19069,c_18292,c_384,c_19043,c_19181]) ).
tff(c_19227,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19083,c_19226]) ).
tff(c_19228,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_19036]) ).
tff(c_19230,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_19228]) ).
tff(c_18278,plain,
sum(n8,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_18270,c_190]) ).
tff(c_19233,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_19230,c_18278]) ).
tff(c_19249,plain,
sum('#skF_1','#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_19230,c_19230,c_188]) ).
tff(c_19231,plain,
sum(pred(sum('#skF_1','#skF_1')),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_19230,c_18328]) ).
tff(c_19417,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_272,c_18298,c_394,c_19233,c_392,c_19249,c_19231]) ).
tff(c_19418,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126,c_19417]) ).
tff(c_19419,plain,
( ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_19228]) ).
tff(c_19421,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_19419]) ).
tff(c_18275,plain,
sum(n3,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_18270,c_300]) ).
tff(c_19425,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_19421,c_18275]) ).
tff(c_19433,plain,
sum('#skF_1',n8) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_19421,c_298]) ).
tff(c_19511,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_19433,c_18328]) ).
tff(c_19512,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_402,c_19511]) ).
tff(c_19609,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_150,c_18293,c_382,c_19425,c_19512]) ).
tff(c_19610,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_124,c_19609]) ).
tff(c_19611,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_19419]) ).
tff(c_19613,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_19611]) ).
tff(c_18290,plain,
sum('#skF_2',n2) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_18270,c_222]) ).
tff(c_19628,plain,
sum('#skF_1',n2) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_19613,c_18290]) ).
tff(c_19619,plain,
sum('#skF_1','#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_19613,c_19613,c_18291]) ).
tff(c_19629,plain,
sum('#skF_1',n8) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_19613,c_18292]) ).
tff(c_19614,plain,
sum(pred(sum('#skF_1',n8)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_19613,c_19613,c_18328]) ).
tff(c_19805,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_296,c_19628,c_396,c_19619,c_394,c_19629,c_19614]) ).
tff(c_19806,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130,c_19805]) ).
tff(c_19807,plain,
( ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_19611]) ).
tff(c_19809,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_19807]) ).
tff(c_18273,plain,
sum(n4,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_18270,c_278]) ).
tff(c_19815,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_19809,c_18273]) ).
tff(c_19820,plain,
sum('#skF_1',n8) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_19809,c_276]) ).
tff(c_19907,plain,
sum(pred(n1),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_19820,c_18328]) ).
tff(c_19908,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_400,c_19907]) ).
tff(c_19997,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_368,c_18294,c_402,c_19815,c_19908]) ).
tff(c_19998,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_19997]) ).
tff(c_19999,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_19807]) ).
tff(c_20001,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_19999]) ).
tff(c_18280,plain,
sum(n6,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_18270,c_234]) ).
tff(c_20002,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_20001,c_18280]) ).
tff(c_20034,plain,
sum('#skF_1',n8) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_20001,c_232]) ).
tff(c_20087,plain,
sum(pred(n3),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_20034,c_18328]) ).
tff(c_20088,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_396,c_20087]) ).
tff(c_20189,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_320,c_18300,c_398,c_20002,c_20088]) ).
tff(c_20190,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_20189]) ).
tff(c_20191,plain,
n5 = '#skF_1',
inference(splitRight,[status(thm)],[c_19999]) ).
tff(c_18271,plain,
sum(n5,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_18270,c_256]) ).
tff(c_20193,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_20191,c_18271]) ).
tff(c_20219,plain,
sum('#skF_1',n8) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_20191,c_254]) ).
tff(c_20282,plain,
sum(pred(n2),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_20219,c_18328]) ).
tff(c_20283,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_398,c_20282]) ).
tff(c_20380,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_18274,c_18272,c_400,c_20193,c_20283]) ).
tff(c_20381,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116,c_20380]) ).
tff(c_20382,plain,
( ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_18268]) ).
tff(c_21149,plain,
n4 = '#skF_2',
inference(splitLeft,[status(thm)],[c_20382]) ).
tff(c_21160,plain,
sum('#skF_2',n9) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_21149,c_274]) ).
tff(c_21168,plain,
sum('#skF_2',n10) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_21149,c_272]) ).
tff(c_21174,plain,
sum('#skF_2',n6) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_21149,c_280]) ).
tff(c_21165,plain,
sum(n1,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_21149,c_350]) ).
tff(c_21179,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_21149,c_21149,c_292]) ).
tff(c_21194,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_21149,c_124]) ).
tff(c_21151,plain,
sum(n6,n9) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_21149,c_230]) ).
tff(c_21152,plain,
sum('#skF_2',n5) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_21149,c_282]) ).
tff(c_21176,plain,
sum('#skF_2',n1) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_21149,c_290]) ).
tff(c_21177,plain,
sum('#skF_2','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_21149,c_21149,c_284]) ).
tff(c_21181,plain,
pred(n5) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_21149,c_392]) ).
tff(c_20384,plain,
n10 = '#skF_1',
inference(splitLeft,[status(thm)],[c_5426]) ).
tff(c_20399,plain,
sum(n5,'#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_20384,c_250]) ).
tff(c_20571,plain,
n4 = '#skF_2',
inference(splitLeft,[status(thm)],[c_20382]) ).
tff(c_20605,plain,
pred('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_20571,c_394]) ).
tff(c_20396,plain,
sum('#skF_1',n5) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_20384,c_150]) ).
tff(c_20572,plain,
sum('#skF_1',n5) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_20571,c_20396]) ).
tff(c_20590,plain,
sum('#skF_2',n2) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_20571,c_288]) ).
tff(c_20387,plain,
sum('#skF_1',n4) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_20384,c_152]) ).
tff(c_20577,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_20571,c_20387]) ).
tff(c_20603,plain,
succ('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_20571,c_416]) ).
tff(c_20621,plain,
sum(pred(sum('#skF_1',n5)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_20603,c_134]) ).
tff(c_20750,plain,
sum(pred(sum('#skF_1',n5)),sum('#skF_2',pred(n3))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_20577,c_20621]) ).
tff(c_20751,plain,
sum(pred(sum('#skF_1',n5)),n6) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_20590,c_396,c_20750]) ).
tff(c_20764,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_302,c_20605,c_20572,c_20751]) ).
tff(c_20765,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_20764]) ).
tff(c_20766,plain,
( ( n5 = '#skF_2' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_20382]) ).
tff(c_20768,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_20766]) ).
tff(c_20802,plain,
pred('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_20768,c_390]) ).
tff(c_20414,plain,
sum('#skF_1',n7) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_20384,c_146]) ).
tff(c_20774,plain,
sum('#skF_1',n7) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_20768,c_20414]) ).
tff(c_20407,plain,
sum(n6,n4) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_20384,c_240]) ).
tff(c_20770,plain,
sum('#skF_2',n4) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_20768,c_20407]) ).
tff(c_20413,plain,
sum('#skF_1',n6) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_20384,c_148]) ).
tff(c_20773,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_20768,c_20413]) ).
tff(c_20800,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_20768,c_412]) ).
tff(c_20818,plain,
sum(pred(sum('#skF_1',n7)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_20800,c_134]) ).
tff(c_20955,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_20399,c_20802,c_20774,c_20770,c_392,c_20773,c_20818]) ).
tff(c_20956,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_124,c_20955]) ).
tff(c_20957,plain,
n5 = '#skF_2',
inference(splitRight,[status(thm)],[c_20766]) ).
tff(c_20992,plain,
pred('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_20957,c_392]) ).
tff(c_20963,plain,
sum('#skF_1',n6) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_20957,c_20413]) ).
tff(c_20984,plain,
sum('#skF_2',n3) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_20957,c_264]) ).
tff(c_20959,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_20957,c_20396]) ).
tff(c_20993,plain,
succ('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_20957,c_414]) ).
tff(c_21012,plain,
sum(pred(sum('#skF_1',n6)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_20993,c_134]) ).
tff(c_21145,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_276,c_20992,c_20963,c_20984,c_394,c_20959,c_21012]) ).
tff(c_21146,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130,c_21145]) ).
tff(c_21147,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_5426]) ).
tff(c_21340,plain,
( ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21149,c_21147]) ).
tff(c_21341,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_21340]) ).
tff(c_21343,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_21341,c_21165]) ).
tff(c_21356,plain,
sum('#skF_1',n5) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_21341,c_348]) ).
tff(c_21180,plain,
succ('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_21149,c_416]) ).
tff(c_21207,plain,
sum(pred(sum('#skF_1',n5)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_21180,c_134]) ).
tff(c_21499,plain,
sum(pred(n6),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_21356,c_21207]) ).
tff(c_21500,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_21499]) ).
tff(c_21529,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_254,c_21177,c_21181,c_21343,c_21500]) ).
tff(c_21530,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128,c_21529]) ).
tff(c_21531,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_21340]) ).
tff(c_21533,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_21531]) ).
tff(c_21178,plain,
sum(n9,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_21149,c_174]) ).
tff(c_21539,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_21533,c_21178]) ).
tff(c_21551,plain,
sum('#skF_1',n5) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_21533,c_172]) ).
tff(c_21607,plain,
sum(pred(n3),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_21551,c_21207]) ).
tff(c_21608,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_396,c_21607]) ).
tff(c_21721,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_326,c_21176,c_398,c_21539,c_21608]) ).
tff(c_21722,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118,c_21721]) ).
tff(c_21723,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_21531]) ).
tff(c_21725,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_21723]) ).
tff(c_21167,plain,
sum(n2,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_21149,c_328]) ).
tff(c_21728,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_21725,c_21167]) ).
tff(c_21746,plain,
sum('#skF_1',n5) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_21725,c_326]) ).
tff(c_21887,plain,
sum(pred(n7),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_21746,c_21207]) ).
tff(c_21888,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_388,c_21887]) ).
tff(c_21913,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_21151,c_21152,c_390,c_21728,c_21888]) ).
tff(c_21914,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21194,c_21913]) ).
tff(c_21915,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_21723]) ).
tff(c_21917,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_21915]) ).
tff(c_21155,plain,
sum(n8,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_21149,c_196]) ).
tff(c_21921,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_21917,c_21155]) ).
tff(c_21926,plain,
sum('#skF_1',n5) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_21917,c_194]) ).
tff(c_22007,plain,
sum(pred(n2),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_21926,c_21207]) ).
tff(c_22008,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_398,c_22007]) ).
tff(c_22105,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_21165,c_21179,c_400,c_21921,c_22008]) ).
tff(c_22106,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122,c_22105]) ).
tff(c_22107,plain,
( ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_21915]) ).
tff(c_22109,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_22107]) ).
tff(c_21163,plain,
sum(n3,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_21149,c_306]) ).
tff(c_22111,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_22109,c_21163]) ).
tff(c_22132,plain,
sum('#skF_1',n5) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_22109,c_304]) ).
tff(c_22251,plain,
sum(pred(n8),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_22132,c_21207]) ).
tff(c_22252,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_386,c_22251]) ).
tff(c_22297,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_206,c_21174,c_388,c_22111,c_22252]) ).
tff(c_22298,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_22297]) ).
tff(c_22299,plain,
( ( '#skF_2' = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_22107]) ).
tff(c_22301,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_22299]) ).
tff(c_21175,plain,
sum(n7,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_21149,c_218]) ).
tff(c_22307,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_22301,c_21175]) ).
tff(c_22318,plain,
sum('#skF_1',n5) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_22301,c_216]) ).
tff(c_22403,plain,
sum(pred(n1),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_22318,c_21207]) ).
tff(c_22404,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_400,c_22403]) ).
tff(c_22489,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_374,c_21168,c_402,c_22307,c_22404]) ).
tff(c_22490,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126,c_22489]) ).
tff(c_22491,plain,
( ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_22299]) ).
tff(c_22493,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_22491]) ).
tff(c_21153,plain,
sum('#skF_2',n7) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_21149,c_278]) ).
tff(c_22506,plain,
sum('#skF_1',n7) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_22493,c_21153]) ).
tff(c_22503,plain,
sum('#skF_1',n5) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_22493,c_21152]) ).
tff(c_22517,plain,
sum('#skF_1','#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_22493,c_22493,c_21177]) ).
tff(c_22494,plain,
sum(pred(sum('#skF_1',n5)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_22493,c_22493,c_21207]) ).
tff(c_22685,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_204,c_22506,c_384,c_22503,c_386,c_22517,c_22494]) ).
tff(c_22686,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116,c_22685]) ).
tff(c_22687,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_22491]) ).
tff(c_22689,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_22687]) ).
tff(c_21170,plain,
sum(n6,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_21149,c_240]) ).
tff(c_22690,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_22689,c_21170]) ).
tff(c_22716,plain,
sum('#skF_1',n5) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_22689,c_238]) ).
tff(c_22811,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_22716,c_21207]) ).
tff(c_22812,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_402,c_22811]) ).
tff(c_22877,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_156,c_21160,c_382,c_22690,c_22812]) ).
tff(c_22878,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130,c_22877]) ).
tff(c_22879,plain,
n5 = '#skF_1',
inference(splitRight,[status(thm)],[c_22687]) ).
tff(c_22892,plain,
sum('#skF_1','#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_22879,c_22879,c_260]) ).
tff(c_21154,plain,
sum('#skF_2',n8) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_21149,c_276]) ).
tff(c_21173,plain,
sum(n5,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_21149,c_262]) ).
tff(c_22885,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_22879,c_21173]) ).
tff(c_22881,plain,
sum(pred(sum('#skF_1','#skF_1')),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_22879,c_21207]) ).
tff(c_23067,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_180,c_382,c_22892,c_21154,c_384,c_22885,c_22881]) ).
tff(c_23068,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_23067]) ).
tff(c_23069,plain,
( ( n5 = '#skF_2' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_20382]) ).
tff(c_23071,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_23069]) ).
tff(c_23262,plain,
( ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23071,c_21147]) ).
tff(c_23263,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_23262]) ).
tff(c_23291,plain,
sum(n7,'#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_23263,c_224]) ).
tff(c_23096,plain,
sum('#skF_2','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_23071,c_23071,c_236]) ).
tff(c_23267,plain,
sum('#skF_2','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_23263,c_23096]) ).
tff(c_23103,plain,
pred(n7) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_23071,c_388]) ).
tff(c_23085,plain,
sum(n1,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_23071,c_346]) ).
tff(c_23265,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_23263,c_23085]) ).
tff(c_23273,plain,
sum('#skF_1',n7) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_23263,c_344]) ).
tff(c_23102,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_23071,c_412]) ).
tff(c_23121,plain,
sum(pred(sum('#skF_1',n7)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_23102,c_134]) ).
tff(c_23345,plain,
sum(pred(n8),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_23273,c_23121]) ).
tff(c_23346,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_386,c_23345]) ).
tff(c_23451,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_23291,c_23267,c_23103,c_23265,c_23346]) ).
tff(c_23452,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116,c_23451]) ).
tff(c_23453,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_23262]) ).
tff(c_23455,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_23453]) ).
tff(c_23472,plain,
sum(n4,'#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_23455,c_274]) ).
tff(c_23093,plain,
sum('#skF_2',n3) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_23071,c_242]) ).
tff(c_23460,plain,
sum('#skF_2',n3) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_23455,c_23093]) ).
tff(c_23090,plain,
sum(n9,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_23071,c_170]) ).
tff(c_23458,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_23455,c_23090]) ).
tff(c_23475,plain,
sum('#skF_1',n7) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_23455,c_168]) ).
tff(c_23553,plain,
sum(pred(n5),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_23475,c_23121]) ).
tff(c_23554,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_392,c_23553]) ).
tff(c_23643,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_23472,c_23460,c_394,c_23458,c_23554]) ).
tff(c_23644,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128,c_23643]) ).
tff(c_23645,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_23453]) ).
tff(c_23647,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_23645]) ).
tff(c_23672,plain,
sum(n8,'#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_23647,c_200]) ).
tff(c_23077,plain,
sum('#skF_2',n7) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_23071,c_234]) ).
tff(c_23652,plain,
sum('#skF_2',n7) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_23647,c_23077]) ).
tff(c_23080,plain,
sum(n2,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_23071,c_324]) ).
tff(c_23651,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_23647,c_23080]) ).
tff(c_23658,plain,
sum('#skF_1',n7) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_23647,c_322]) ).
tff(c_23729,plain,
sum(pred(n9),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_23658,c_23121]) ).
tff(c_23730,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_384,c_23729]) ).
tff(c_23835,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_23672,c_23652,c_386,c_23651,c_23730]) ).
tff(c_23836,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_23835]) ).
tff(c_23837,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_23645]) ).
tff(c_23839,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_23837]) ).
tff(c_23852,plain,
sum(n3,'#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_23839,c_298]) ).
tff(c_23100,plain,
sum('#skF_2',n2) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_23071,c_244]) ).
tff(c_23842,plain,
sum('#skF_2',n2) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_23839,c_23100]) ).
tff(c_23075,plain,
sum(n8,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_23071,c_192]) ).
tff(c_23845,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_23839,c_23075]) ).
tff(c_23855,plain,
sum('#skF_1',n7) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_23839,c_190]) ).
tff(c_23933,plain,
sum(pred(n4),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_23855,c_23121]) ).
tff(c_23934,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_394,c_23933]) ).
tff(c_24027,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_23852,c_23842,c_396,c_23845,c_23934]) ).
tff(c_24028,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132,c_24027]) ).
tff(c_24029,plain,
( ( n7 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_23837]) ).
tff(c_24031,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_24029]) ).
tff(c_24042,plain,
sum(n9,'#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_24031,c_176]) ).
tff(c_23101,plain,
sum('#skF_2',n8) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_23071,c_232]) ).
tff(c_24035,plain,
sum('#skF_2',n8) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_24031,c_23101]) ).
tff(c_23074,plain,
sum(n3,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_23071,c_302]) ).
tff(c_24033,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_24031,c_23074]) ).
tff(c_24040,plain,
sum('#skF_1',n7) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_24031,c_300]) ).
tff(c_24121,plain,
sum(pred(n10),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_24040,c_23121]) ).
tff(c_24122,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_382,c_24121]) ).
tff(c_24219,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_24042,c_24035,c_384,c_24033,c_24122]) ).
tff(c_24220,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130,c_24219]) ).
tff(c_24221,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_24029]) ).
tff(c_24223,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_24221]) ).
tff(c_24239,plain,
sum(n2,'#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_24223,c_322]) ).
tff(c_23095,plain,
sum('#skF_2',n1) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_23071,c_246]) ).
tff(c_24227,plain,
sum('#skF_2',n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_24223,c_23095]) ).
tff(c_23084,plain,
sum(n7,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_23071,c_214]) ).
tff(c_24225,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_24223,c_23084]) ).
tff(c_24251,plain,
sum('#skF_1','#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_24223,c_24223,c_212]) ).
tff(c_24224,plain,
sum(pred(sum('#skF_1','#skF_1')),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_24223,c_23121]) ).
tff(c_24410,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_24239,c_24227,c_398,c_24225,c_396,c_24251,c_24224]) ).
tff(c_24411,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_24410]) ).
tff(c_24412,plain,
( ( '#skF_2' = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_24221]) ).
tff(c_24414,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_24412]) ).
tff(c_24422,plain,
sum(n10,'#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_24414,c_152]) ).
tff(c_23073,plain,
sum('#skF_2',n9) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_23071,c_230]) ).
tff(c_24418,plain,
sum('#skF_2',n9) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_24414,c_23073]) ).
tff(c_23091,plain,
sum(n4,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_23071,c_280]) ).
tff(c_24416,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_24414,c_23091]) ).
tff(c_24424,plain,
sum('#skF_1',n7) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_24414,c_278]) ).
tff(c_24496,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_24424,c_23121]) ).
tff(c_24497,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_402,c_24496]) ).
tff(c_24602,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_24422,c_24418,c_382,c_24416,c_24497]) ).
tff(c_24603,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126,c_24602]) ).
tff(c_24604,plain,
( ( n5 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_24412]) ).
tff(c_24606,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_24604]) ).
tff(c_24612,plain,
sum(n1,'#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_24606,c_23085]) ).
tff(c_23078,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_23071,c_23071,c_248]) ).
tff(c_24608,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_24606,c_24606,c_23078]) ).
tff(c_24627,plain,
sum('#skF_1','#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_24606,c_24606,c_23096]) ).
tff(c_24630,plain,
sum('#skF_1',n7) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_24606,c_23077]) ).
tff(c_24607,plain,
sum(pred(sum('#skF_1',n7)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_24606,c_24606,c_23121]) ).
tff(c_24798,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_24612,c_24608,c_400,c_24627,c_398,c_24630,c_24607]) ).
tff(c_24799,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118,c_24798]) ).
tff(c_24800,plain,
n5 = '#skF_1',
inference(splitRight,[status(thm)],[c_24604]) ).
tff(c_24846,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_24800,c_122]) ).
tff(c_24818,plain,
sum(n0,'#skF_1') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_24800,c_24800,c_370]) ).
tff(c_24811,plain,
sum('#skF_1',n7) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_24800,c_256]) ).
tff(c_23094,plain,
sum('#skF_2',n10) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_23071,c_228]) ).
tff(c_24804,plain,
sum('#skF_2',n10) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_24800,c_23094]) ).
tff(c_23079,plain,
sum(n5,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_23071,c_258]) ).
tff(c_24803,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_24800,c_23079]) ).
tff(c_24939,plain,
sum(pred(sum('#skF_1',n7)),sum('#skF_2',pred(n0))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_24803,c_23121]) ).
tff(c_24940,plain,
sum(pred(sum('#skF_1',n7)),'#skF_1') = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_24804,c_402,c_24939]) ).
tff(c_24989,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_24818,c_400,c_24811,c_24940]) ).
tff(c_24990,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24846,c_24989]) ).
tff(c_24991,plain,
n5 = '#skF_2',
inference(splitRight,[status(thm)],[c_23069]) ).
tff(c_25003,plain,
sum('#skF_2',n10) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_24991,c_250]) ).
tff(c_25018,plain,
sum('#skF_2',n8) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_24991,c_254]) ).
tff(c_25005,plain,
sum(n1,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_24991,c_348]) ).
tff(c_24995,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_24991,c_24991,c_270]) ).
tff(c_25013,plain,
sum('#skF_2',n2) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_24991,c_266]) ).
tff(c_25037,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_24991,c_122]) ).
tff(c_25017,plain,
sum(n6,n10) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_24991,c_228]) ).
tff(c_24994,plain,
sum('#skF_2','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_24991,c_24991,c_260]) ).
tff(c_25024,plain,
pred(n6) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_24991,c_390]) ).
tff(c_25183,plain,
( ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24991,c_21147]) ).
tff(c_25184,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_25183]) ).
tff(c_25185,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_25184,c_25005]) ).
tff(c_25203,plain,
sum('#skF_1',n6) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_25184,c_346]) ).
tff(c_25026,plain,
succ('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_24991,c_414]) ).
tff(c_25050,plain,
sum(pred(sum('#skF_1',n6)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_25026,c_134]) ).
tff(c_25250,plain,
sum(pred(n7),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_25203,c_25050]) ).
tff(c_25251,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_388,c_25250]) ).
tff(c_25372,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_25017,c_24994,c_25024,c_25185,c_25251]) ).
tff(c_25373,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25037,c_25372]) ).
tff(c_25374,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_25183]) ).
tff(c_25376,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_25374]) ).
tff(c_25009,plain,
sum(n9,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_24991,c_172]) ).
tff(c_25379,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_25376,c_25009]) ).
tff(c_25399,plain,
sum('#skF_1',n6) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_25376,c_170]) ).
tff(c_25494,plain,
sum(pred(n4),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_25399,c_25050]) ).
tff(c_25495,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_394,c_25494]) ).
tff(c_25564,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_300,c_25013,c_396,c_25379,c_25495]) ).
tff(c_25565,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_25564]) ).
tff(c_25566,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_25374]) ).
tff(c_25568,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_25566]) ).
tff(c_25585,plain,
sum('#skF_1',n6) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_25568,c_324]) ).
tff(c_25002,plain,
sum('#skF_2',n6) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_24991,c_258]) ).
tff(c_25011,plain,
sum(n2,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_24991,c_326]) ).
tff(c_25570,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_25568,c_25011]) ).
tff(c_25650,plain,
sum(pred(sum('#skF_1',n6)),sum('#skF_2',pred(n7))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_25570,c_25050]) ).
tff(c_25651,plain,
sum(pred(sum('#skF_1',n6)),n0) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_25002,c_388,c_25650]) ).
tff(c_25756,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_226,c_386,c_25585,c_25651]) ).
tff(c_25757,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118,c_25756]) ).
tff(c_25758,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_25566]) ).
tff(c_25760,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_25758]) ).
tff(c_25802,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_25760,c_116]) ).
tff(c_25779,plain,
sum(n2,n6) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_25760,c_324]) ).
tff(c_25774,plain,
sum('#skF_1',n6) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_25760,c_192]) ).
tff(c_25012,plain,
sum('#skF_2',n1) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_24991,c_268]) ).
tff(c_24997,plain,
sum(n8,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_24991,c_194]) ).
tff(c_25764,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_25760,c_24997]) ).
tff(c_25830,plain,
sum(pred(sum('#skF_1',n6)),sum('#skF_2',pred(n2))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_25764,c_25050]) ).
tff(c_25831,plain,
sum(pred(sum('#skF_1',n6)),n6) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_25012,c_398,c_25830]) ).
tff(c_25948,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_25779,c_396,c_25774,c_25831]) ).
tff(c_25949,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25802,c_25948]) ).
tff(c_25950,plain,
( ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_25758]) ).
tff(c_25952,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_25950]) ).
tff(c_25963,plain,
sum('#skF_1',n6) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_25952,c_302]) ).
tff(c_24993,plain,
sum('#skF_2',n7) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_24991,c_256]) ).
tff(c_25006,plain,
sum(n3,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_24991,c_304]) ).
tff(c_25953,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_25952,c_25006]) ).
tff(c_26090,plain,
sum(pred(sum('#skF_1',n6)),sum('#skF_2',pred(n8))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_25953,c_25050]) ).
tff(c_26091,plain,
sum(pred(sum('#skF_1',n6)),n1) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_24993,c_386,c_26090]) ).
tff(c_26140,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_202,c_384,c_25963,c_26091]) ).
tff(c_26141,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_26140]) ).
tff(c_26142,plain,
( ( n4 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_25950]) ).
tff(c_26144,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_26142]) ).
tff(c_25007,plain,
sum(n7,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_24991,c_216]) ).
tff(c_26146,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_26144,c_25007]) ).
tff(c_26164,plain,
sum('#skF_1',n6) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_26144,c_214]) ).
tff(c_26274,plain,
sum(pred(n2),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_26164,c_25050]) ).
tff(c_26275,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_398,c_26274]) ).
tff(c_26332,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_25005,c_24995,c_400,c_26146,c_26275]) ).
tff(c_26333,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_26332]) ).
tff(c_26334,plain,
( ( n6 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_26142]) ).
tff(c_26336,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_26334]) ).
tff(c_24996,plain,
sum(n4,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_24991,c_282]) ).
tff(c_26342,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_26336,c_24996]) ).
tff(c_26365,plain,
sum('#skF_1',n6) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_26336,c_280]) ).
tff(c_26422,plain,
sum(pred(n10),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_26365,c_25050]) ).
tff(c_26423,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_382,c_26422]) ).
tff(c_26524,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_178,c_25018,c_384,c_26342,c_26423]) ).
tff(c_26525,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132,c_26524]) ).
tff(c_26526,plain,
( ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_26334]) ).
tff(c_26528,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_26526]) ).
tff(c_25021,plain,
sum(n6,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_24991,c_238]) ).
tff(c_26534,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_26528,c_25021]) ).
tff(c_26559,plain,
sum('#skF_1','#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_26528,c_26528,c_236]) ).
tff(c_26529,plain,
sum(pred(sum('#skF_1','#skF_1')),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_26528,c_25050]) ).
tff(c_26715,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_372,c_25003,c_402,c_26534,c_400,c_26559,c_26529]) ).
tff(c_26716,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_124,c_26715]) ).
tff(c_26717,plain,
'#skF_2' = '#skF_1',
inference(splitRight,[status(thm)],[c_26526]) ).
tff(c_25020,plain,
sum('#skF_2',n9) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_24991,c_252]) ).
tff(c_26744,plain,
sum('#skF_1',n9) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_26717,c_25020]) ).
tff(c_26727,plain,
sum('#skF_1','#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_26717,c_26717,c_24994]) ).
tff(c_26722,plain,
sum('#skF_1',n6) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_26717,c_25002]) ).
tff(c_26719,plain,
sum(pred(sum('#skF_1',n6)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_26717,c_26717,c_25050]) ).
tff(c_26910,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_154,c_26744,c_382,c_26727,c_402,c_26722,c_26719]) ).
tff(c_26911,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128,c_26910]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM375+1.010 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 15:18:30 EDT 2023
% 0.15/0.36 % CPUTime :
% 22.94/11.02 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.47/11.25
% 23.47/11.25 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 23.63/11.36
% 23.63/11.36 Inference rules
% 23.63/11.36 ----------------------
% 23.63/11.36 #Ref : 0
% 23.63/11.36 #Sup : 9776
% 23.63/11.36 #Fact : 0
% 23.63/11.36 #Define : 0
% 23.63/11.36 #Split : 120
% 23.63/11.36 #Chain : 0
% 23.63/11.36 #Close : 0
% 23.63/11.36
% 23.63/11.36 Ordering : KBO
% 23.63/11.36
% 23.63/11.36 Simplification rules
% 23.63/11.36 ----------------------
% 23.63/11.36 #Subsume : 743
% 23.63/11.36 #Demod : 7288
% 23.63/11.36 #Tautology : 9776
% 23.63/11.36 #SimpNegUnit : 121
% 23.63/11.36 #BackRed : 6182
% 23.63/11.36
% 23.63/11.36 #Partial instantiations: 0
% 23.63/11.36 #Strategies tried : 1
% 23.63/11.36
% 23.63/11.36 Timing (in seconds)
% 23.63/11.36 ----------------------
% 23.63/11.37 Preprocessing : 0.64
% 23.63/11.37 Parsing : 0.35
% 23.63/11.37 CNF conversion : 0.04
% 23.63/11.37 Main loop : 9.28
% 23.63/11.37 Inferencing : 2.82
% 23.63/11.37 Reduction : 3.75
% 23.63/11.37 Demodulation : 2.53
% 23.63/11.37 BG Simplification : 0.07
% 23.63/11.37 Subsumption : 1.95
% 23.63/11.37 Abstraction : 0.09
% 23.63/11.37 MUC search : 0.00
% 23.63/11.37 Cooper : 0.00
% 23.63/11.37 Total : 10.28
% 23.63/11.37 Index Insertion : 0.00
% 23.63/11.37 Index Deletion : 0.00
% 23.63/11.37 Index Matching : 0.00
% 23.63/11.37 BG Taut test : 0.00
%------------------------------------------------------------------------------