TSTP Solution File: NUM375+1.015 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM375+1.015 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n020.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 10:51:18 EDT 2023
% Result : Unsatisfiable 65.36s 50.09s
% Output : CNFRefutation 67.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 23
% Syntax : Number of formulae : 3086 (2812 unt; 22 typ; 0 def)
% Number of atoms : 5243 (4987 equ)
% Maximal formula atoms : 457 ( 1 avg)
% Number of connectives : 2347 ( 168 ~;1753 |; 426 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 431 ( 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 : 22 ( 22 usr; 19 con; 0-2 aty)
% Number of variables : 3 (; 0 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sum > #nlpp > succ > pred > n9 > n8 > n7 > n6 > n5 > n4 > n3 > n2 > n15 > n14 > n13 > n12 > n11 > n10 > n1 > n0 > #skF_2 > #skF_3 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(n12,type,
n12: $i ).
tff(n8,type,
n8: $i ).
tff(n9,type,
n9: $i ).
tff(n3,type,
n3: $i ).
tff(n1,type,
n1: $i ).
tff(n7,type,
n7: $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(n6,type,
n6: $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(n13,type,
n13: $i ).
tff(n0,type,
n0: $i ).
tff(sum,type,
sum: ( $i * $i ) > $i ).
tff(n4,type,
n4: $i ).
tff(n10,type,
n10: $i ).
tff(n14,type,
n14: $i ).
tff(n15,type,
n15: $i ).
tff(n11,type,
n11: $i ).
tff(n2,type,
n2: $i ).
tff(n5,type,
n5: $i ).
tff(succ,type,
succ: $i > $i ).
tff(pred,type,
pred: $i > $i ).
tff(f_1076,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) = n11 )
& ( succ(n11) = n12 )
& ( succ(n12) = n13 )
& ( succ(n13) = n14 )
& ( succ(n14) = n15 )
& ( succ(n15) = n0 )
& ( pred(n0) = n15 )
& ( pred(n1) = n0 )
& ( pred(n2) = n1 )
& ( pred(n3) = n2 )
& ( pred(n4) = n3 )
& ( pred(n5) = n4 )
& ( pred(n6) = n5 )
& ( pred(n7) = n6 )
& ( pred(n8) = n7 )
& ( pred(n9) = n8 )
& ( pred(n10) = n9 )
& ( pred(n11) = n10 )
& ( pred(n12) = n11 )
& ( pred(n13) = n12 )
& ( pred(n14) = n13 )
& ( pred(n15) = n14 )
& ( sum(n0,n0) = n0 )
& ( sum(n0,n1) = n1 )
& ( sum(n0,n2) = n2 )
& ( sum(n0,n3) = n3 )
& ( sum(n0,n4) = n4 )
& ( sum(n0,n5) = n5 )
& ( sum(n0,n6) = n6 )
& ( sum(n0,n7) = n7 )
& ( sum(n0,n8) = n8 )
& ( sum(n0,n9) = n9 )
& ( sum(n0,n10) = n10 )
& ( sum(n0,n11) = n11 )
& ( sum(n0,n12) = n12 )
& ( sum(n0,n13) = n13 )
& ( sum(n0,n14) = n14 )
& ( sum(n0,n15) = n15 )
& ( sum(n1,n0) = n1 )
& ( sum(n1,n1) = n2 )
& ( sum(n1,n2) = n3 )
& ( sum(n1,n3) = n4 )
& ( sum(n1,n4) = n5 )
& ( sum(n1,n5) = n6 )
& ( sum(n1,n6) = n7 )
& ( sum(n1,n7) = n8 )
& ( sum(n1,n8) = n9 )
& ( sum(n1,n9) = n10 )
& ( sum(n1,n10) = n11 )
& ( sum(n1,n11) = n12 )
& ( sum(n1,n12) = n13 )
& ( sum(n1,n13) = n14 )
& ( sum(n1,n14) = n15 )
& ( sum(n1,n15) = n0 )
& ( sum(n2,n0) = n2 )
& ( sum(n2,n1) = n3 )
& ( sum(n2,n2) = n4 )
& ( sum(n2,n3) = n5 )
& ( sum(n2,n4) = n6 )
& ( sum(n2,n5) = n7 )
& ( sum(n2,n6) = n8 )
& ( sum(n2,n7) = n9 )
& ( sum(n2,n8) = n10 )
& ( sum(n2,n9) = n11 )
& ( sum(n2,n10) = n12 )
& ( sum(n2,n11) = n13 )
& ( sum(n2,n12) = n14 )
& ( sum(n2,n13) = n15 )
& ( sum(n2,n14) = n0 )
& ( sum(n2,n15) = n1 )
& ( sum(n3,n0) = n3 )
& ( sum(n3,n1) = n4 )
& ( sum(n3,n2) = n5 )
& ( sum(n3,n3) = n6 )
& ( sum(n3,n4) = n7 )
& ( sum(n3,n5) = n8 )
& ( sum(n3,n6) = n9 )
& ( sum(n3,n7) = n10 )
& ( sum(n3,n8) = n11 )
& ( sum(n3,n9) = n12 )
& ( sum(n3,n10) = n13 )
& ( sum(n3,n11) = n14 )
& ( sum(n3,n12) = n15 )
& ( sum(n3,n13) = n0 )
& ( sum(n3,n14) = n1 )
& ( sum(n3,n15) = n2 )
& ( sum(n4,n0) = n4 )
& ( sum(n4,n1) = n5 )
& ( sum(n4,n2) = n6 )
& ( sum(n4,n3) = n7 )
& ( sum(n4,n4) = n8 )
& ( sum(n4,n5) = n9 )
& ( sum(n4,n6) = n10 )
& ( sum(n4,n7) = n11 )
& ( sum(n4,n8) = n12 )
& ( sum(n4,n9) = n13 )
& ( sum(n4,n10) = n14 )
& ( sum(n4,n11) = n15 )
& ( sum(n4,n12) = n0 )
& ( sum(n4,n13) = n1 )
& ( sum(n4,n14) = n2 )
& ( sum(n4,n15) = n3 )
& ( sum(n5,n0) = n5 )
& ( sum(n5,n1) = n6 )
& ( sum(n5,n2) = n7 )
& ( sum(n5,n3) = n8 )
& ( sum(n5,n4) = n9 )
& ( sum(n5,n5) = n10 )
& ( sum(n5,n6) = n11 )
& ( sum(n5,n7) = n12 )
& ( sum(n5,n8) = n13 )
& ( sum(n5,n9) = n14 )
& ( sum(n5,n10) = n15 )
& ( sum(n5,n11) = n0 )
& ( sum(n5,n12) = n1 )
& ( sum(n5,n13) = n2 )
& ( sum(n5,n14) = n3 )
& ( sum(n5,n15) = n4 )
& ( sum(n6,n0) = n6 )
& ( sum(n6,n1) = n7 )
& ( sum(n6,n2) = n8 )
& ( sum(n6,n3) = n9 )
& ( sum(n6,n4) = n10 )
& ( sum(n6,n5) = n11 )
& ( sum(n6,n6) = n12 )
& ( sum(n6,n7) = n13 )
& ( sum(n6,n8) = n14 )
& ( sum(n6,n9) = n15 )
& ( sum(n6,n10) = n0 )
& ( sum(n6,n11) = n1 )
& ( sum(n6,n12) = n2 )
& ( sum(n6,n13) = n3 )
& ( sum(n6,n14) = n4 )
& ( sum(n6,n15) = n5 )
& ( sum(n7,n0) = n7 )
& ( sum(n7,n1) = n8 )
& ( sum(n7,n2) = n9 )
& ( sum(n7,n3) = n10 )
& ( sum(n7,n4) = n11 )
& ( sum(n7,n5) = n12 )
& ( sum(n7,n6) = n13 )
& ( sum(n7,n7) = n14 )
& ( sum(n7,n8) = n15 )
& ( sum(n7,n9) = n0 )
& ( sum(n7,n10) = n1 )
& ( sum(n7,n11) = n2 )
& ( sum(n7,n12) = n3 )
& ( sum(n7,n13) = n4 )
& ( sum(n7,n14) = n5 )
& ( sum(n7,n15) = n6 )
& ( sum(n8,n0) = n8 )
& ( sum(n8,n1) = n9 )
& ( sum(n8,n2) = n10 )
& ( sum(n8,n3) = n11 )
& ( sum(n8,n4) = n12 )
& ( sum(n8,n5) = n13 )
& ( sum(n8,n6) = n14 )
& ( sum(n8,n7) = n15 )
& ( sum(n8,n8) = n0 )
& ( sum(n8,n9) = n1 )
& ( sum(n8,n10) = n2 )
& ( sum(n8,n11) = n3 )
& ( sum(n8,n12) = n4 )
& ( sum(n8,n13) = n5 )
& ( sum(n8,n14) = n6 )
& ( sum(n8,n15) = n7 )
& ( sum(n9,n0) = n9 )
& ( sum(n9,n1) = n10 )
& ( sum(n9,n2) = n11 )
& ( sum(n9,n3) = n12 )
& ( sum(n9,n4) = n13 )
& ( sum(n9,n5) = n14 )
& ( sum(n9,n6) = n15 )
& ( sum(n9,n7) = n0 )
& ( sum(n9,n8) = n1 )
& ( sum(n9,n9) = n2 )
& ( sum(n9,n10) = n3 )
& ( sum(n9,n11) = n4 )
& ( sum(n9,n12) = n5 )
& ( sum(n9,n13) = n6 )
& ( sum(n9,n14) = n7 )
& ( sum(n9,n15) = n8 )
& ( sum(n10,n0) = n10 )
& ( sum(n10,n1) = n11 )
& ( sum(n10,n2) = n12 )
& ( sum(n10,n3) = n13 )
& ( sum(n10,n4) = n14 )
& ( sum(n10,n5) = n15 )
& ( sum(n10,n6) = n0 )
& ( sum(n10,n7) = n1 )
& ( sum(n10,n8) = n2 )
& ( sum(n10,n9) = n3 )
& ( sum(n10,n10) = n4 )
& ( sum(n10,n11) = n5 )
& ( sum(n10,n12) = n6 )
& ( sum(n10,n13) = n7 )
& ( sum(n10,n14) = n8 )
& ( sum(n10,n15) = n9 )
& ( sum(n11,n0) = n11 )
& ( sum(n11,n1) = n12 )
& ( sum(n11,n2) = n13 )
& ( sum(n11,n3) = n14 )
& ( sum(n11,n4) = n15 )
& ( sum(n11,n5) = n0 )
& ( sum(n11,n6) = n1 )
& ( sum(n11,n7) = n2 )
& ( sum(n11,n8) = n3 )
& ( sum(n11,n9) = n4 )
& ( sum(n11,n10) = n5 )
& ( sum(n11,n11) = n6 )
& ( sum(n11,n12) = n7 )
& ( sum(n11,n13) = n8 )
& ( sum(n11,n14) = n9 )
& ( sum(n11,n15) = n10 )
& ( sum(n12,n0) = n12 )
& ( sum(n12,n1) = n13 )
& ( sum(n12,n2) = n14 )
& ( sum(n12,n3) = n15 )
& ( sum(n12,n4) = n0 )
& ( sum(n12,n5) = n1 )
& ( sum(n12,n6) = n2 )
& ( sum(n12,n7) = n3 )
& ( sum(n12,n8) = n4 )
& ( sum(n12,n9) = n5 )
& ( sum(n12,n10) = n6 )
& ( sum(n12,n11) = n7 )
& ( sum(n12,n12) = n8 )
& ( sum(n12,n13) = n9 )
& ( sum(n12,n14) = n10 )
& ( sum(n12,n15) = n11 )
& ( sum(n13,n0) = n13 )
& ( sum(n13,n1) = n14 )
& ( sum(n13,n2) = n15 )
& ( sum(n13,n3) = n0 )
& ( sum(n13,n4) = n1 )
& ( sum(n13,n5) = n2 )
& ( sum(n13,n6) = n3 )
& ( sum(n13,n7) = n4 )
& ( sum(n13,n8) = n5 )
& ( sum(n13,n9) = n6 )
& ( sum(n13,n10) = n7 )
& ( sum(n13,n11) = n8 )
& ( sum(n13,n12) = n9 )
& ( sum(n13,n13) = n10 )
& ( sum(n13,n14) = n11 )
& ( sum(n13,n15) = n12 )
& ( sum(n14,n0) = n14 )
& ( sum(n14,n1) = n15 )
& ( sum(n14,n2) = n0 )
& ( sum(n14,n3) = n1 )
& ( sum(n14,n4) = n2 )
& ( sum(n14,n5) = n3 )
& ( sum(n14,n6) = n4 )
& ( sum(n14,n7) = n5 )
& ( sum(n14,n8) = n6 )
& ( sum(n14,n9) = n7 )
& ( sum(n14,n10) = n8 )
& ( sum(n14,n11) = n9 )
& ( sum(n14,n12) = n10 )
& ( sum(n14,n13) = n11 )
& ( sum(n14,n14) = n12 )
& ( sum(n14,n15) = n13 )
& ( sum(n15,n0) = n15 )
& ( sum(n15,n1) = n0 )
& ( sum(n15,n2) = n1 )
& ( sum(n15,n3) = n2 )
& ( sum(n15,n4) = n3 )
& ( sum(n15,n5) = n4 )
& ( sum(n15,n6) = n5 )
& ( sum(n15,n7) = n6 )
& ( sum(n15,n8) = n7 )
& ( sum(n15,n9) = n8 )
& ( sum(n15,n10) = n9 )
& ( sum(n15,n11) = n10 )
& ( sum(n15,n12) = n11 )
& ( sum(n15,n13) = n12 )
& ( sum(n15,n14) = n13 )
& ( sum(n15,n15) = n14 )
& ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 )
| ( X = n6 )
| ( X = n7 )
| ( X = n8 )
| ( X = n9 )
| ( X = n10 )
| ( X = n11 )
| ( X = n12 )
| ( X = n13 )
| ( X = n14 )
| ( X = n15 ) )
& ( ( Y = n0 )
| ( Y = n1 )
| ( Y = n2 )
| ( Y = n3 )
| ( Y = n4 )
| ( Y = n5 )
| ( Y = n6 )
| ( Y = n7 )
| ( Y = n8 )
| ( Y = n9 )
| ( Y = n10 )
| ( Y = n11 )
| ( Y = n12 )
| ( Y = n13 )
| ( Y = n14 )
| ( Y = n15 ) )
& ( 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 )
& ( Z != n11 )
& ( Z != n12 )
& ( Z != n13 )
& ( Z != n14 )
& ( Z != n15 )
& ( n0 != n1 )
& ( n0 != n2 )
& ( n0 != n3 )
& ( n0 != n4 )
& ( n0 != n5 )
& ( n0 != n6 )
& ( n0 != n7 )
& ( n0 != n8 )
& ( n0 != n9 )
& ( n0 != n10 )
& ( n0 != n11 )
& ( n0 != n12 )
& ( n0 != n13 )
& ( n0 != n14 )
& ( n0 != n15 )
& ( n1 != n2 )
& ( n1 != n3 )
& ( n1 != n4 )
& ( n1 != n5 )
& ( n1 != n6 )
& ( n1 != n7 )
& ( n1 != n8 )
& ( n1 != n9 )
& ( n1 != n10 )
& ( n1 != n11 )
& ( n1 != n12 )
& ( n1 != n13 )
& ( n1 != n14 )
& ( n1 != n15 )
& ( n2 != n3 )
& ( n2 != n4 )
& ( n2 != n5 )
& ( n2 != n6 )
& ( n2 != n7 )
& ( n2 != n8 )
& ( n2 != n9 )
& ( n2 != n10 )
& ( n2 != n11 )
& ( n2 != n12 )
& ( n2 != n13 )
& ( n2 != n14 )
& ( n2 != n15 )
& ( n3 != n4 )
& ( n3 != n5 )
& ( n3 != n6 )
& ( n3 != n7 )
& ( n3 != n8 )
& ( n3 != n9 )
& ( n3 != n10 )
& ( n3 != n11 )
& ( n3 != n12 )
& ( n3 != n13 )
& ( n3 != n14 )
& ( n3 != n15 )
& ( n4 != n5 )
& ( n4 != n6 )
& ( n4 != n7 )
& ( n4 != n8 )
& ( n4 != n9 )
& ( n4 != n10 )
& ( n4 != n11 )
& ( n4 != n12 )
& ( n4 != n13 )
& ( n4 != n14 )
& ( n4 != n15 )
& ( n5 != n6 )
& ( n5 != n7 )
& ( n5 != n8 )
& ( n5 != n9 )
& ( n5 != n10 )
& ( n5 != n11 )
& ( n5 != n12 )
& ( n5 != n13 )
& ( n5 != n14 )
& ( n5 != n15 )
& ( n6 != n7 )
& ( n6 != n8 )
& ( n6 != n9 )
& ( n6 != n10 )
& ( n6 != n11 )
& ( n6 != n12 )
& ( n6 != n13 )
& ( n6 != n14 )
& ( n6 != n15 )
& ( n7 != n8 )
& ( n7 != n9 )
& ( n7 != n10 )
& ( n7 != n11 )
& ( n7 != n12 )
& ( n7 != n13 )
& ( n7 != n14 )
& ( n7 != n15 )
& ( n8 != n9 )
& ( n8 != n10 )
& ( n8 != n11 )
& ( n8 != n12 )
& ( n8 != n13 )
& ( n8 != n14 )
& ( n8 != n15 )
& ( n9 != n10 )
& ( n9 != n11 )
& ( n9 != n12 )
& ( n9 != n13 )
& ( n9 != n14 )
& ( n9 != n15 )
& ( n10 != n11 )
& ( n10 != n12 )
& ( n10 != n13 )
& ( n10 != n14 )
& ( n10 != n15 )
& ( n11 != n12 )
& ( n11 != n13 )
& ( n11 != n14 )
& ( n11 != n15 )
& ( n12 != n13 )
& ( n12 != n14 )
& ( n12 != n15 )
& ( n13 != n14 )
& ( n13 != n15 )
& ( n14 != n15 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).
tff(c_258,plain,
n7 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_776,plain,
sum(n0,n7) = n7,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_262,plain,
n5 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_298,plain,
sum(n15,n6) = n5,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_268,plain,
n2 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_334,plain,
sum(n14,n4) = n2,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_266,plain,
n3 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_332,plain,
sum(n14,n5) = n3,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_272,plain,
n0 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_368,plain,
sum(n13,n3) = n0,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_250,plain,
n11 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_708,plain,
sum(n2,n9) = n11,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_256,plain,
n8 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_244,plain,
n14 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_672,plain,
sum(n3,n11) = n14,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_780,plain,
sum(n0,n5) = n5,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_270,plain,
n1 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_636,plain,
sum(n4,n13) = n1,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_366,plain,
sum(n13,n4) = n1,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_402,plain,
sum(n12,n2) = n14,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_264,plain,
n4 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_330,plain,
sum(n14,n6) = n4,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_438,plain,
sum(n11,n0) = n11,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_294,plain,
sum(n15,n8) = n7,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_442,plain,
sum(n10,n14) = n8,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_800,plain,
pred(n11) = n10,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_246,plain,
n13 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_674,plain,
sum(n3,n10) = n13,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_252,plain,
n10 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_710,plain,
sum(n2,n8) = n10,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_638,plain,
sum(n4,n12) = n0,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_602,plain,
sum(n5,n14) = n3,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_782,plain,
sum(n0,n4) = n4,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_260,plain,
n6 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_598,plain,
sum(n6,n0) = n6,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_808,plain,
pred(n7) = n6,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_242,plain,
n15 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_400,plain,
sum(n12,n3) = n15,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_248,plain,
n12 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_436,plain,
sum(n11,n1) = n12,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_364,plain,
sum(n13,n5) = n2,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_254,plain,
n9 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_440,plain,
sum(n10,n15) = n9,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_328,plain,
sum(n14,n7) = n5,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_476,plain,
sum(n9,n13) = n6,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_292,plain,
sum(n15,n9) = n8,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_512,plain,
sum(n8,n11) = n3,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_804,plain,
pred(n9) = n8,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_640,plain,
sum(n4,n11) = n15,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_434,plain,
sum(n11,n2) = n13,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_470,plain,
sum(n10,n0) = n10,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_398,plain,
sum(n12,n4) = n0,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_474,plain,
sum(n9,n14) = n7,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_606,plain,
sum(n5,n12) = n1,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_642,plain,
sum(n4,n10) = n14,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_570,plain,
sum(n6,n14) = n4,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_678,plain,
sum(n3,n8) = n11,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_566,plain,
sum(n7,n0) = n7,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_714,plain,
sum(n2,n6) = n8,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_530,plain,
sum(n8,n2) = n10,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_468,plain,
sum(n10,n1) = n11,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_472,plain,
sum(n9,n15) = n8,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_432,plain,
sum(n11,n3) = n14,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_508,plain,
sum(n8,n13) = n5,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_396,plain,
sum(n12,n5) = n1,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_572,plain,
sum(n6,n13) = n3,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_608,plain,
sum(n5,n11) = n0,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_536,plain,
sum(n7,n15) = n6,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_644,plain,
sum(n4,n9) = n13,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_532,plain,
sum(n8,n1) = n9,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_680,plain,
sum(n3,n7) = n10,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_496,plain,
sum(n9,n3) = n12,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_716,plain,
sum(n2,n5) = n7,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_460,plain,
sum(n10,n5) = n15,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_424,plain,
sum(n11,n7) = n2,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_788,plain,
sum(n0,n1) = n1,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_388,plain,
sum(n12,n9) = n5,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_796,plain,
pred(n13) = n12,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_502,plain,
sum(n9,n0) = n9,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_506,plain,
sum(n8,n14) = n6,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_466,plain,
sum(n10,n2) = n12,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_542,plain,
sum(n7,n12) = n3,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_430,plain,
sum(n11,n4) = n15,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_578,plain,
sum(n6,n10) = n0,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_394,plain,
sum(n12,n6) = n2,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_614,plain,
sum(n5,n8) = n13,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_358,plain,
sum(n13,n8) = n5,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_650,plain,
sum(n4,n6) = n10,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_322,plain,
sum(n14,n10) = n8,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_686,plain,
sum(n3,n4) = n7,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_286,plain,
sum(n15,n12) = n11,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_722,plain,
sum(n2,n2) = n4,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_816,plain,
pred(n3) = n2,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_538,plain,
sum(n7,n14) = n5,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_574,plain,
sum(n6,n12) = n2,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_534,plain,
sum(n8,n0) = n8,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_278,plain,
( ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' )
| ( n0 = '#skF_1' ) ),
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2011,plain,
n0 = '#skF_1',
inference(splitLeft,[status(thm)],[c_278]) ).
tff(c_2077,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_272]) ).
tff(c_760,plain,
sum(n0,n15) = n15,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2018,plain,
sum('#skF_1',n15) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_760]) ).
tff(c_820,plain,
pred(n1) = n0,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2059,plain,
pred(n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_820]) ).
tff(c_2031,plain,
sum('#skF_1',n1) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_788]) ).
tff(c_822,plain,
pred(n0) = n15,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2060,plain,
pred('#skF_1') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_822]) ).
tff(c_790,plain,
sum(n0,n0) = n0,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2045,plain,
sum('#skF_1','#skF_1') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_2011,c_2011,c_790]) ).
tff(c_854,plain,
succ(n0) = n1,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2058,plain,
succ('#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_854]) ).
tff(c_276,plain,
( ( n15 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' )
| ( n1 = '#skF_2' )
| ( n0 = '#skF_2' ) ),
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2082,plain,
( ( n15 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' )
| ( n1 = '#skF_2' )
| ( '#skF_2' = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_276]) ).
tff(c_2083,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_2082]) ).
tff(c_274,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_1076]) ).
tff(c_2084,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_2083,c_2083,c_2083,c_274]) ).
tff(c_2289,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2018,c_2018,c_2059,c_2031,c_2060,c_2045,c_2058,c_2084]) ).
tff(c_2290,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_242,c_2289]) ).
tff(c_2291,plain,
( ( n1 = '#skF_2' )
| ( n2 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_2082]) ).
tff(c_2493,plain,
n15 = '#skF_2',
inference(splitLeft,[status(thm)],[c_2291]) ).
tff(c_284,plain,
sum(n15,n13) = n12,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2518,plain,
sum('#skF_2',n13) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_2493,c_284]) ).
tff(c_282,plain,
sum(n15,n14) = n13,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2533,plain,
sum('#skF_2',n14) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_2493,c_282]) ).
tff(c_792,plain,
pred(n15) = n14,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2542,plain,
pred('#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_2493,c_792]) ).
tff(c_2494,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_2493,c_2493,c_2018]) ).
tff(c_2498,plain,
pred('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_2493,c_2060]) ).
tff(c_824,plain,
succ(n15) = n0,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2061,plain,
succ(n15) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_824]) ).
tff(c_2499,plain,
succ('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2493,c_2061]) ).
tff(c_2575,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_2499,c_274]) ).
tff(c_2576,plain,
sum('#skF_2',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2498,c_2045,c_2575]) ).
tff(c_2761,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2518,c_2533,c_2542,c_2494,c_2576]) ).
tff(c_2762,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_248,c_2761]) ).
tff(c_2763,plain,
( ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' )
| ( n1 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_2291]) ).
tff(c_2765,plain,
n1 = '#skF_2',
inference(splitLeft,[status(thm)],[c_2763]) ).
tff(c_756,plain,
sum(n1,n1) = n2,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2808,plain,
sum('#skF_2','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_2765,c_2765,c_756]) ).
tff(c_758,plain,
sum(n1,n0) = n1,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2041,plain,
sum(n1,'#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_758]) ).
tff(c_2766,plain,
sum('#skF_2','#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_2765,c_2765,c_2041]) ).
tff(c_2770,plain,
pred('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2765,c_2059]) ).
tff(c_2767,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_2765,c_2765,c_2031]) ).
tff(c_818,plain,
pred(n2) = n1,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2814,plain,
pred(n2) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_2765,c_818]) ).
tff(c_786,plain,
sum(n0,n2) = n2,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2055,plain,
sum('#skF_1',n2) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_786]) ).
tff(c_852,plain,
succ(n1) = n2,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2815,plain,
succ('#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_2765,c_852]) ).
tff(c_2835,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_2815,c_274]) ).
tff(c_2836,plain,
sum(pred(n2),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2055,c_2835]) ).
tff(c_3033,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2808,c_2766,c_2770,c_2767,c_2814,c_2836]) ).
tff(c_3034,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_268,c_3033]) ).
tff(c_3035,plain,
( ( n2 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_2763]) ).
tff(c_3037,plain,
n14 = '#skF_2',
inference(splitLeft,[status(thm)],[c_3035]) ).
tff(c_320,plain,
sum(n14,n11) = n9,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_3060,plain,
sum('#skF_2',n11) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_3037,c_320]) ).
tff(c_316,plain,
sum(n14,n13) = n11,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_3083,plain,
sum('#skF_2',n13) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_3037,c_316]) ).
tff(c_794,plain,
pred(n14) = n13,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_3087,plain,
pred('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_3037,c_794]) ).
tff(c_762,plain,
sum(n0,n14) = n14,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2019,plain,
sum('#skF_1',n14) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_762]) ).
tff(c_3041,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3037,c_3037,c_2019]) ).
tff(c_3085,plain,
pred(n15) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3037,c_792]) ).
tff(c_826,plain,
succ(n14) = n15,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_3086,plain,
succ('#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_3037,c_826]) ).
tff(c_3115,plain,
sum(pred(sum('#skF_1',n15)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3086,c_274]) ).
tff(c_3116,plain,
sum(pred(n15),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2018,c_3115]) ).
tff(c_3305,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3060,c_3083,c_3087,c_3041,c_3085,c_3116]) ).
tff(c_3306,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_254,c_3305]) ).
tff(c_3307,plain,
( ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_3035]) ).
tff(c_3309,plain,
n2 = '#skF_2',
inference(splitLeft,[status(thm)],[c_3307]) ).
tff(c_720,plain,
sum(n2,n3) = n5,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_3320,plain,
sum('#skF_2',n3) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_3309,c_720]) ).
tff(c_724,plain,
sum(n2,n1) = n3,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_3330,plain,
sum('#skF_2',n1) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_3309,c_724]) ).
tff(c_3358,plain,
pred('#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_3309,c_818]) ).
tff(c_3313,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3309,c_3309,c_2055]) ).
tff(c_3356,plain,
pred(n3) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3309,c_816]) ).
tff(c_784,plain,
sum(n0,n3) = n3,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2047,plain,
sum('#skF_1',n3) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_784]) ).
tff(c_850,plain,
succ(n2) = n3,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_3357,plain,
succ('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_3309,c_850]) ).
tff(c_3391,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_3357,c_274]) ).
tff(c_3392,plain,
sum('#skF_2',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3356,c_2047,c_3391]) ).
tff(c_3577,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3320,c_3330,c_3358,c_3313,c_3392]) ).
tff(c_3578,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_262,c_3577]) ).
tff(c_3579,plain,
( ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_3307]) ).
tff(c_3581,plain,
n13 = '#skF_2',
inference(splitLeft,[status(thm)],[c_3579]) ).
tff(c_356,plain,
sum(n13,n9) = n6,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_3615,plain,
sum('#skF_2',n9) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_3581,c_356]) ).
tff(c_350,plain,
sum(n13,n12) = n9,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_3618,plain,
sum('#skF_2',n12) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_3581,c_350]) ).
tff(c_3630,plain,
pred('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_3581,c_796]) ).
tff(c_764,plain,
sum(n0,n13) = n13,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2037,plain,
sum('#skF_1',n13) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_764]) ).
tff(c_3582,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3581,c_3581,c_2037]) ).
tff(c_3631,plain,
pred(n14) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3581,c_794]) ).
tff(c_828,plain,
succ(n13) = n14,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_3629,plain,
succ('#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_3581,c_828]) ).
tff(c_3663,plain,
sum(pred(sum('#skF_1',n14)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3629,c_274]) ).
tff(c_3664,plain,
sum('#skF_2',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3631,c_2019,c_3663]) ).
tff(c_3849,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3615,c_3618,c_3630,c_3582,c_3664]) ).
tff(c_3850,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_260,c_3849]) ).
tff(c_3851,plain,
( ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_3579]) ).
tff(c_3853,plain,
n3 = '#skF_2',
inference(splitLeft,[status(thm)],[c_3851]) ).
tff(c_684,plain,
sum(n3,n5) = n8,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_3889,plain,
sum('#skF_2',n5) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_3853,c_684]) ).
tff(c_690,plain,
sum(n3,n2) = n5,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_3888,plain,
sum('#skF_2',n2) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_3853,c_690]) ).
tff(c_3901,plain,
pred('#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_3853,c_816]) ).
tff(c_3855,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3853,c_3853,c_2047]) ).
tff(c_814,plain,
pred(n4) = n3,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_3900,plain,
pred(n4) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3853,c_814]) ).
tff(c_2044,plain,
sum('#skF_1',n4) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_782]) ).
tff(c_848,plain,
succ(n3) = n4,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_3903,plain,
succ('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_3853,c_848]) ).
tff(c_3931,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_3903,c_274]) ).
tff(c_3932,plain,
sum(pred(n4),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2044,c_3931]) ).
tff(c_4121,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3889,c_3888,c_3901,c_3855,c_3900,c_3932]) ).
tff(c_4122,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_256,c_4121]) ).
tff(c_4123,plain,
( ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_3851]) ).
tff(c_4125,plain,
n12 = '#skF_2',
inference(splitLeft,[status(thm)],[c_4123]) ).
tff(c_392,plain,
sum(n12,n7) = n3,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_4132,plain,
sum('#skF_2',n7) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_4125,c_392]) ).
tff(c_384,plain,
sum(n12,n11) = n7,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_4150,plain,
sum('#skF_2',n11) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_4125,c_384]) ).
tff(c_798,plain,
pred(n12) = n11,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_4174,plain,
pred('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_4125,c_798]) ).
tff(c_766,plain,
sum(n0,n12) = n12,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2032,plain,
sum('#skF_1',n12) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_766]) ).
tff(c_4128,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_4125,c_4125,c_2032]) ).
tff(c_4175,plain,
pred(n13) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_4125,c_796]) ).
tff(c_830,plain,
succ(n12) = n13,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_4172,plain,
succ('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_4125,c_830]) ).
tff(c_4195,plain,
sum(pred(sum('#skF_1',n13)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4172,c_274]) ).
tff(c_4196,plain,
sum(pred(n13),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2037,c_4195]) ).
tff(c_4393,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4132,c_4150,c_4174,c_4128,c_4175,c_4196]) ).
tff(c_4394,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_266,c_4393]) ).
tff(c_4395,plain,
( ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_4123]) ).
tff(c_4397,plain,
n4 = '#skF_2',
inference(splitLeft,[status(thm)],[c_4395]) ).
tff(c_648,plain,
sum(n4,n7) = n11,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_4424,plain,
sum('#skF_2',n7) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_4397,c_648]) ).
tff(c_656,plain,
sum(n4,n3) = n7,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_4425,plain,
sum('#skF_2',n3) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_4397,c_656]) ).
tff(c_4445,plain,
pred('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_4397,c_814]) ).
tff(c_4400,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_4397,c_4397,c_2044]) ).
tff(c_812,plain,
pred(n5) = n4,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_4444,plain,
pred(n5) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_4397,c_812]) ).
tff(c_2056,plain,
sum('#skF_1',n5) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_780]) ).
tff(c_846,plain,
succ(n4) = n5,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_4446,plain,
succ('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_4397,c_846]) ).
tff(c_4471,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_4446,c_274]) ).
tff(c_4472,plain,
sum(pred(n5),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2056,c_4471]) ).
tff(c_4665,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4424,c_4425,c_4445,c_4400,c_4444,c_4472]) ).
tff(c_4666,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_250,c_4665]) ).
tff(c_4667,plain,
( ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_4395]) ).
tff(c_4669,plain,
n11 = '#skF_2',
inference(splitLeft,[status(thm)],[c_4667]) ).
tff(c_428,plain,
sum(n11,n5) = n0,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2025,plain,
sum(n11,n5) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_428]) ).
tff(c_4670,plain,
sum('#skF_2',n5) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_4669,c_2025]) ).
tff(c_418,plain,
sum(n11,n10) = n5,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_4682,plain,
sum('#skF_2',n10) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_4669,c_418]) ).
tff(c_4718,plain,
pred('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_4669,c_800]) ).
tff(c_768,plain,
sum(n0,n11) = n11,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2057,plain,
sum('#skF_1',n11) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_768]) ).
tff(c_4673,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_4669,c_4669,c_2057]) ).
tff(c_4719,plain,
pred(n12) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_4669,c_798]) ).
tff(c_832,plain,
succ(n11) = n12,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_4717,plain,
succ('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_4669,c_832]) ).
tff(c_4739,plain,
sum(pred(sum('#skF_1',n12)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4717,c_274]) ).
tff(c_4740,plain,
sum(pred(n12),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2032,c_4739]) ).
tff(c_4937,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_4670,c_4682,c_4718,c_4673,c_4719,c_4740]) ).
tff(c_4938,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2077,c_4937]) ).
tff(c_4939,plain,
( ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_4667]) ).
tff(c_4941,plain,
n5 = '#skF_2',
inference(splitLeft,[status(thm)],[c_4939]) ).
tff(c_612,plain,
sum(n5,n9) = n14,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_4955,plain,
sum('#skF_2',n9) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_4941,c_612]) ).
tff(c_622,plain,
sum(n5,n4) = n9,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_4962,plain,
sum('#skF_2',n4) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_4941,c_622]) ).
tff(c_4989,plain,
pred('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_4941,c_812]) ).
tff(c_4944,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_4941,c_4941,c_2056]) ).
tff(c_810,plain,
pred(n6) = n5,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_4990,plain,
pred(n6) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_4941,c_810]) ).
tff(c_778,plain,
sum(n0,n6) = n6,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2051,plain,
sum('#skF_1',n6) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_778]) ).
tff(c_844,plain,
succ(n5) = n6,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_4988,plain,
succ('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_4941,c_844]) ).
tff(c_5011,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_4988,c_274]) ).
tff(c_5012,plain,
sum(pred(n6),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2051,c_5011]) ).
tff(c_5209,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4955,c_4962,c_4989,c_4944,c_4990,c_5012]) ).
tff(c_5210,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_244,c_5209]) ).
tff(c_5211,plain,
( ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_4939]) ).
tff(c_5213,plain,
n10 = '#skF_2',
inference(splitLeft,[status(thm)],[c_5211]) ).
tff(c_464,plain,
sum(n10,n3) = n13,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_5237,plain,
sum('#skF_2',n3) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_5213,c_464]) ).
tff(c_452,plain,
sum(n10,n9) = n3,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_5234,plain,
sum('#skF_2',n9) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_5213,c_452]) ).
tff(c_802,plain,
pred(n10) = n9,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_5262,plain,
pred('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_5213,c_802]) ).
tff(c_770,plain,
sum(n0,n10) = n10,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2052,plain,
sum('#skF_1',n10) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_770]) ).
tff(c_5216,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_5213,c_5213,c_2052]) ).
tff(c_5263,plain,
pred(n11) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_5213,c_800]) ).
tff(c_834,plain,
succ(n10) = n11,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_5261,plain,
succ('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_5213,c_834]) ).
tff(c_5295,plain,
sum(pred(sum('#skF_1',n11)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5261,c_274]) ).
tff(c_5296,plain,
sum('#skF_2',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5263,c_2057,c_5295]) ).
tff(c_5481,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5237,c_5234,c_5262,c_5216,c_5296]) ).
tff(c_5482,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_246,c_5481]) ).
tff(c_5483,plain,
( ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_5211]) ).
tff(c_5485,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_5483]) ).
tff(c_576,plain,
sum(n6,n11) = n1,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_5520,plain,
sum('#skF_2',n11) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_5485,c_576]) ).
tff(c_588,plain,
sum(n6,n5) = n11,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_5516,plain,
sum('#skF_2',n5) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_5485,c_588]) ).
tff(c_5533,plain,
pred('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_5485,c_810]) ).
tff(c_5489,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_5485,c_5485,c_2051]) ).
tff(c_5534,plain,
pred(n7) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_5485,c_808]) ).
tff(c_2035,plain,
sum('#skF_1',n7) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_776]) ).
tff(c_842,plain,
succ(n6) = n7,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_5535,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_5485,c_842]) ).
tff(c_5559,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_5535,c_274]) ).
tff(c_5560,plain,
sum(pred(n7),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2035,c_5559]) ).
tff(c_5753,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5520,c_5516,c_5533,c_5489,c_5534,c_5560]) ).
tff(c_5754,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_270,c_5753]) ).
tff(c_5755,plain,
( ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_5483]) ).
tff(c_5757,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_5755]) ).
tff(c_500,plain,
sum(n9,n1) = n10,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_5801,plain,
sum('#skF_2',n1) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_5757,c_500]) ).
tff(c_486,plain,
sum(n9,n8) = n1,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_5782,plain,
sum('#skF_2',n8) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_5757,c_486]) ).
tff(c_5807,plain,
pred('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_5757,c_804]) ).
tff(c_772,plain,
sum(n0,n9) = n9,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2036,plain,
sum('#skF_1',n9) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_772]) ).
tff(c_5758,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_5757,c_5757,c_2036]) ).
tff(c_5805,plain,
pred(n10) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_5757,c_802]) ).
tff(c_836,plain,
succ(n9) = n10,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_5804,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_5757,c_836]) ).
tff(c_5827,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_5804,c_274]) ).
tff(c_5828,plain,
sum(pred(n10),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2052,c_5827]) ).
tff(c_6025,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5801,c_5782,c_5807,c_5758,c_5805,c_5828]) ).
tff(c_6026,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252,c_6025]) ).
tff(c_6027,plain,
( ( n8 = '#skF_2' )
| ( n7 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_5755]) ).
tff(c_6029,plain,
n7 = '#skF_2',
inference(splitLeft,[status(thm)],[c_6027]) ).
tff(c_540,plain,
sum(n7,n13) = n4,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_6046,plain,
sum('#skF_2',n13) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_6029,c_540]) ).
tff(c_554,plain,
sum(n7,n6) = n13,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_6067,plain,
sum('#skF_2',n6) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_6029,c_554]) ).
tff(c_6076,plain,
pred('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_6029,c_808]) ).
tff(c_6031,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_6029,c_6029,c_2035]) ).
tff(c_806,plain,
pred(n8) = n7,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_6077,plain,
pred(n8) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_6029,c_806]) ).
tff(c_774,plain,
sum(n0,n8) = n8,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_2021,plain,
sum('#skF_1',n8) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_2011,c_774]) ).
tff(c_840,plain,
succ(n7) = n8,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_6079,plain,
succ('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_6029,c_840]) ).
tff(c_6099,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_6079,c_274]) ).
tff(c_6100,plain,
sum(pred(n8),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2021,c_6099]) ).
tff(c_6297,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_6046,c_6067,c_6076,c_6031,c_6077,c_6100]) ).
tff(c_6298,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_264,c_6297]) ).
tff(c_6299,plain,
n8 = '#skF_2',
inference(splitRight,[status(thm)],[c_6027]) ).
tff(c_504,plain,
sum(n8,n15) = n7,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_6322,plain,
sum('#skF_2',n15) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_6299,c_504]) ).
tff(c_520,plain,
sum(n8,n7) = n15,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_6308,plain,
sum('#skF_2',n7) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_6299,c_520]) ).
tff(c_6347,plain,
pred('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_6299,c_806]) ).
tff(c_6303,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_6299,c_6299,c_2021]) ).
tff(c_6349,plain,
pred(n9) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_6299,c_804]) ).
tff(c_838,plain,
succ(n8) = n9,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_6348,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_6299,c_838]) ).
tff(c_6374,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_6348,c_274]) ).
tff(c_6375,plain,
sum(pred(n9),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_2036,c_6374]) ).
tff(c_6568,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_6322,c_6308,c_6347,c_6303,c_6349,c_6375]) ).
tff(c_6569,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258,c_6568]) ).
tff(c_6570,plain,
( ( n1 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_278]) ).
tff(c_6572,plain,
n15 = '#skF_1',
inference(splitLeft,[status(thm)],[c_6570]) ).
tff(c_6631,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_6572,c_242]) ).
tff(c_610,plain,
sum(n5,n10) = n15,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_6579,plain,
sum(n5,n10) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_6572,c_610]) ).
tff(c_498,plain,
sum(n9,n2) = n11,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_646,plain,
sum(n4,n8) = n12,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_462,plain,
sum(n10,n4) = n14,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_682,plain,
sum(n3,n6) = n9,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_426,plain,
sum(n11,n6) = n1,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_718,plain,
sum(n2,n4) = n6,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_390,plain,
sum(n12,n8) = n4,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_354,plain,
sum(n13,n10) = n7,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_318,plain,
sum(n14,n12) = n10,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_6592,plain,
sum('#skF_1',n13) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_6572,c_284]) ).
tff(c_280,plain,
sum(n15,n15) = n14,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_6595,plain,
sum('#skF_1','#skF_1') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_6572,c_6572,c_280]) ).
tff(c_6619,plain,
pred('#skF_1') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_6572,c_792]) ).
tff(c_310,plain,
sum(n15,n0) = n15,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_6607,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_6572,c_6572,c_310]) ).
tff(c_6620,plain,
succ('#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_6572,c_824]) ).
tff(c_6609,plain,
sum('#skF_1',n14) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_6572,c_282]) ).
tff(c_6642,plain,
( ( '#skF_2' = '#skF_1' )
| ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' )
| ( n1 = '#skF_2' )
| ( n0 = '#skF_2' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6572,c_276]) ).
tff(c_6643,plain,
n0 = '#skF_2',
inference(splitLeft,[status(thm)],[c_6642]) ).
tff(c_6618,plain,
pred(n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_6572,c_822]) ).
tff(c_6708,plain,
pred('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_6643,c_6618]) ).
tff(c_308,plain,
sum(n15,n1) = n0,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_6602,plain,
sum('#skF_1',n1) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_6572,c_308]) ).
tff(c_7062,plain,
sum('#skF_1',n1) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_6643,c_6602]) ).
tff(c_6651,plain,
sum('#skF_2',n14) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_6643,c_762]) ).
tff(c_7013,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_6643,c_6607]) ).
tff(c_6687,plain,
succ('#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_6643,c_854]) ).
tff(c_6726,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_6687,c_274]) ).
tff(c_7087,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_6609,c_6708,c_7062,c_6651,c_6619,c_7013,c_6726]) ).
tff(c_7088,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_246,c_7087]) ).
tff(c_7089,plain,
( ( n1 = '#skF_2' )
| ( n2 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_6642]) ).
tff(c_7287,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_7089]) ).
tff(c_7289,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_7287,c_7287,c_7287,c_274]) ).
tff(c_7290,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_318,c_6592,c_794,c_6595,c_6619,c_6607,c_6620,c_7289]) ).
tff(c_7292,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252,c_7290]) ).
tff(c_7293,plain,
( ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' )
| ( n1 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_7089]) ).
tff(c_7295,plain,
n1 = '#skF_2',
inference(splitLeft,[status(thm)],[c_7293]) ).
tff(c_728,plain,
sum(n1,n15) = n0,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_6589,plain,
sum(n1,'#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_6572,c_728]) ).
tff(c_7301,plain,
sum('#skF_2','#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_7295,c_6589]) ).
tff(c_7344,plain,
pred('#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_7295,c_820]) ).
tff(c_306,plain,
sum(n15,n2) = n1,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_6601,plain,
sum('#skF_1',n2) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_6572,c_306]) ).
tff(c_7297,plain,
sum('#skF_1',n2) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_7295,c_6601]) ).
tff(c_7300,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_7295,c_6602]) ).
tff(c_7345,plain,
succ('#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_7295,c_852]) ).
tff(c_7369,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_7345,c_274]) ).
tff(c_7562,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_790,c_7301,c_7344,c_7297,c_6618,c_7300,c_7369]) ).
tff(c_7563,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_272,c_7562]) ).
tff(c_7564,plain,
( ( n2 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_7293]) ).
tff(c_7566,plain,
n14 = '#skF_2',
inference(splitLeft,[status(thm)],[c_7564]) ).
tff(c_7616,plain,
pred('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_7566,c_794]) ).
tff(c_7568,plain,
sum('#skF_1','#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_7566,c_6595]) ).
tff(c_7586,plain,
sum('#skF_2',n12) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_7566,c_318]) ).
tff(c_7570,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_7566,c_6609]) ).
tff(c_6621,plain,
succ(n14) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_6572,c_826]) ).
tff(c_7572,plain,
succ('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_7566,c_6621]) ).
tff(c_7648,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_7572,c_274]) ).
tff(c_7829,plain,
sum(pred(sum('#skF_1','#skF_1')),sum('#skF_2',pred(n13))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_7570,c_7648]) ).
tff(c_7830,plain,
sum(pred(sum('#skF_1','#skF_1')),n10) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_7586,c_796,c_7829]) ).
tff(c_7839,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_354,c_7616,c_7568,c_7830]) ).
tff(c_7840,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258,c_7839]) ).
tff(c_7841,plain,
( ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_7564]) ).
tff(c_7843,plain,
n2 = '#skF_2',
inference(splitLeft,[status(thm)],[c_7841]) ).
tff(c_754,plain,
sum(n1,n2) = n3,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_7851,plain,
sum(n1,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_7843,c_754]) ).
tff(c_7892,plain,
pred('#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_7843,c_818]) ).
tff(c_304,plain,
sum(n15,n3) = n2,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_6597,plain,
sum('#skF_1',n3) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_6572,c_304]) ).
tff(c_7844,plain,
sum('#skF_1',n3) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_7843,c_6597]) ).
tff(c_726,plain,
sum(n2,n0) = n2,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_7888,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_7843,c_7843,c_726]) ).
tff(c_7847,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_7843,c_6601]) ).
tff(c_7891,plain,
succ('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_7843,c_850]) ).
tff(c_7925,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_7891,c_274]) ).
tff(c_8110,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_7851,c_7892,c_7844,c_7888,c_820,c_7847,c_7925]) ).
tff(c_8111,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_266,c_8110]) ).
tff(c_8112,plain,
( ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_7841]) ).
tff(c_8114,plain,
n13 = '#skF_2',
inference(splitLeft,[status(thm)],[c_8112]) ).
tff(c_8163,plain,
pred('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_8114,c_796]) ).
tff(c_8120,plain,
sum('#skF_1',n14) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_8114,c_6609]) ).
tff(c_352,plain,
sum(n13,n11) = n8,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_8150,plain,
sum('#skF_2',n11) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_8114,c_352]) ).
tff(c_8116,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_8114,c_6592]) ).
tff(c_8162,plain,
succ('#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_8114,c_828]) ).
tff(c_8184,plain,
sum(pred(sum('#skF_1',n14)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_8162,c_274]) ).
tff(c_8373,plain,
sum(pred(sum('#skF_1',n14)),sum('#skF_2',pred(n12))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_8116,c_8184]) ).
tff(c_8374,plain,
sum(pred(sum('#skF_1',n14)),n8) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_8150,c_798,c_8373]) ).
tff(c_8387,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_8163,c_8120,c_8374]) ).
tff(c_8388,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_264,c_8387]) ).
tff(c_8389,plain,
( ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_8112]) ).
tff(c_8391,plain,
n3 = '#skF_2',
inference(splitLeft,[status(thm)],[c_8389]) ).
tff(c_692,plain,
sum(n3,n1) = n4,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_8420,plain,
sum('#skF_2',n1) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_8391,c_692]) ).
tff(c_8393,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_8391,c_6597]) ).
tff(c_8439,plain,
pred('#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_8391,c_816]) ).
tff(c_302,plain,
sum(n15,n4) = n3,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_6612,plain,
sum('#skF_1',n4) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_6572,c_302]) ).
tff(c_8397,plain,
sum('#skF_1',n4) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_8391,c_6612]) ).
tff(c_8441,plain,
succ('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_8391,c_848]) ).
tff(c_8473,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_8441,c_274]) ).
tff(c_8658,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_718,c_8420,c_818,c_8393,c_8439,c_8397,c_8473]) ).
tff(c_8659,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_260,c_8658]) ).
tff(c_8660,plain,
( ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_8389]) ).
tff(c_8662,plain,
n12 = '#skF_2',
inference(splitLeft,[status(thm)],[c_8660]) ).
tff(c_386,plain,
sum(n12,n10) = n6,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_8687,plain,
sum('#skF_2',n10) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_8662,c_386]) ).
tff(c_6584,plain,
sum('#skF_1',n12) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_6572,c_286]) ).
tff(c_8663,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_8662,c_6584]) ).
tff(c_8711,plain,
pred('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_8662,c_798]) ).
tff(c_8666,plain,
sum('#skF_1',n13) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_8662,c_6592]) ).
tff(c_8709,plain,
succ('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_8662,c_830]) ).
tff(c_8744,plain,
sum(pred(sum('#skF_1',n13)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_8709,c_274]) ).
tff(c_8929,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_426,c_8687,c_800,c_8663,c_8711,c_8666,c_8744]) ).
tff(c_8930,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_270,c_8929]) ).
tff(c_8931,plain,
( ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_8660]) ).
tff(c_8933,plain,
n4 = '#skF_2',
inference(splitLeft,[status(thm)],[c_8931]) ).
tff(c_8981,plain,
pred('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_8933,c_814]) ).
tff(c_300,plain,
sum(n15,n5) = n4,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_6594,plain,
sum('#skF_1',n5) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_6572,c_300]) ).
tff(c_8939,plain,
sum('#skF_1',n5) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_8933,c_6594]) ).
tff(c_658,plain,
sum(n4,n2) = n6,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_8976,plain,
sum('#skF_2',n2) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_8933,c_658]) ).
tff(c_8938,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_8933,c_6612]) ).
tff(c_8982,plain,
succ('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_8933,c_846]) ).
tff(c_9007,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_8982,c_274]) ).
tff(c_9196,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_682,c_8981,c_8939,c_8976,c_816,c_8938,c_9007]) ).
tff(c_9197,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_254,c_9196]) ).
tff(c_9198,plain,
( ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_8931]) ).
tff(c_9200,plain,
n11 = '#skF_2',
inference(splitLeft,[status(thm)],[c_9198]) ).
tff(c_9249,plain,
pred('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_9200,c_800]) ).
tff(c_9201,plain,
sum('#skF_1',n12) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_9200,c_6584]) ).
tff(c_420,plain,
sum(n11,n9) = n4,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_9214,plain,
sum('#skF_2',n9) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_9200,c_420]) ).
tff(c_288,plain,
sum(n15,n11) = n10,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_6581,plain,
sum('#skF_1',n11) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_6572,c_288]) ).
tff(c_9205,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_9200,c_6581]) ).
tff(c_9248,plain,
succ('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_9200,c_832]) ).
tff(c_9270,plain,
sum(pred(sum('#skF_1',n12)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_9248,c_274]) ).
tff(c_9467,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_462,c_9249,c_9201,c_9214,c_802,c_9205,c_9270]) ).
tff(c_9468,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_244,c_9467]) ).
tff(c_9469,plain,
( ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_9198]) ).
tff(c_9471,plain,
n5 = '#skF_2',
inference(splitLeft,[status(thm)],[c_9469]) ).
tff(c_9519,plain,
pred('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_9471,c_812]) ).
tff(c_6615,plain,
sum('#skF_1',n6) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_6572,c_298]) ).
tff(c_9474,plain,
sum('#skF_1',n6) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_9471,c_6615]) ).
tff(c_624,plain,
sum(n5,n3) = n8,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_9496,plain,
sum('#skF_2',n3) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_9471,c_624]) ).
tff(c_9476,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_9471,c_6594]) ).
tff(c_9518,plain,
succ('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_9471,c_844]) ).
tff(c_9541,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_9518,c_274]) ).
tff(c_9738,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_646,c_9519,c_9474,c_9496,c_814,c_9476,c_9541]) ).
tff(c_9739,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_248,c_9738]) ).
tff(c_9740,plain,
( ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_9469]) ).
tff(c_9742,plain,
n10 = '#skF_2',
inference(splitLeft,[status(thm)],[c_9740]) ).
tff(c_454,plain,
sum(n10,n8) = n2,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_9785,plain,
sum('#skF_2',n8) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_9742,c_454]) ).
tff(c_290,plain,
sum(n15,n10) = n9,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_6611,plain,
sum('#skF_1',n10) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_6572,c_290]) ).
tff(c_9744,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_9742,c_6611]) ).
tff(c_9791,plain,
pred('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_9742,c_802]) ).
tff(c_9743,plain,
sum('#skF_1',n11) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_9742,c_6581]) ).
tff(c_9790,plain,
succ('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_9742,c_834]) ).
tff(c_9824,plain,
sum(pred(sum('#skF_1',n11)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_9790,c_274]) ).
tff(c_10009,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_498,c_9785,c_804,c_9744,c_9791,c_9743,c_9824]) ).
tff(c_10010,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_250,c_10009]) ).
tff(c_10011,plain,
( ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_9740]) ).
tff(c_10013,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_10011]) ).
tff(c_590,plain,
sum(n6,n4) = n10,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_10054,plain,
sum('#skF_2',n4) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_10013,c_590]) ).
tff(c_10019,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_10013,c_6615]) ).
tff(c_10061,plain,
pred('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_10013,c_810]) ).
tff(c_296,plain,
sum(n15,n7) = n6,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_6598,plain,
sum('#skF_1',n7) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_6572,c_296]) ).
tff(c_10014,plain,
sum('#skF_1',n7) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_10013,c_6598]) ).
tff(c_10063,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_10013,c_842]) ).
tff(c_10095,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_10063,c_274]) ).
tff(c_10264,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_10061,c_10014,c_10095]) ).
tff(c_10281,plain,
sum(n5,sum('#skF_2',pred(n5))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_10019,c_10264]) ).
tff(c_10282,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_6579,c_10054,c_812,c_10281]) ).
tff(c_10284,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6631,c_10282]) ).
tff(c_10285,plain,
( ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_10011]) ).
tff(c_10287,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_10285]) ).
tff(c_488,plain,
sum(n9,n7) = n0,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_10309,plain,
sum('#skF_2',n7) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_10287,c_488]) ).
tff(c_6599,plain,
sum('#skF_1',n9) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_6572,c_292]) ).
tff(c_10293,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_10287,c_6599]) ).
tff(c_10337,plain,
pred('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_10287,c_804]) ).
tff(c_10290,plain,
sum('#skF_1',n10) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_10287,c_6611]) ).
tff(c_10334,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_10287,c_836]) ).
tff(c_10357,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_10334,c_274]) ).
tff(c_10554,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_534,c_10309,c_806,c_10293,c_10337,c_10290,c_10357]) ).
tff(c_10555,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_256,c_10554]) ).
tff(c_10556,plain,
( ( n8 = '#skF_2' )
| ( n7 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_10285]) ).
tff(c_10558,plain,
n7 = '#skF_2',
inference(splitLeft,[status(thm)],[c_10556]) ).
tff(c_556,plain,
sum(n7,n5) = n12,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_10603,plain,
sum('#skF_2',n5) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_10558,c_556]) ).
tff(c_10559,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_10558,c_6598]) ).
tff(c_10605,plain,
pred('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_10558,c_808]) ).
tff(c_6578,plain,
sum('#skF_1',n8) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_6572,c_294]) ).
tff(c_10562,plain,
sum('#skF_1',n8) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_10558,c_6578]) ).
tff(c_10608,plain,
succ('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_10558,c_840]) ).
tff(c_10632,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_10608,c_274]) ).
tff(c_10821,plain,
sum(pred('#skF_2'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_10562,c_10632]) ).
tff(c_10822,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_10605,c_10821]) ).
tff(c_10831,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_574,c_10603,c_810,c_10559,c_10822]) ).
tff(c_10832,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_268,c_10831]) ).
tff(c_10833,plain,
n8 = '#skF_2',
inference(splitRight,[status(thm)],[c_10556]) ).
tff(c_10881,plain,
pred('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_10833,c_806]) ).
tff(c_10840,plain,
sum('#skF_1',n9) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_10833,c_6599]) ).
tff(c_522,plain,
sum(n8,n6) = n14,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_10879,plain,
sum('#skF_2',n6) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_10833,c_522]) ).
tff(c_10836,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_10833,c_6578]) ).
tff(c_10882,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_10833,c_838]) ).
tff(c_10904,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_10882,c_274]) ).
tff(c_11101,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_538,c_10881,c_10840,c_10879,c_808,c_10836,c_10904]) ).
tff(c_11102,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_262,c_11101]) ).
tff(c_11103,plain,
( ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_6570]) ).
tff(c_11105,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_11103]) ).
tff(c_11106,plain,
sum('#skF_1',n2) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_11105,c_754]) ).
tff(c_11154,plain,
succ('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_11105,c_852]) ).
tff(c_11145,plain,
sum('#skF_1','#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_11105,c_11105,c_756]) ).
tff(c_11152,plain,
pred(n2) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_11105,c_818]) ).
tff(c_11170,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_11105,c_270]) ).
tff(c_11175,plain,
( ( n15 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n0 = '#skF_2' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11105,c_276]) ).
tff(c_11176,plain,
n0 = '#skF_2',
inference(splitLeft,[status(thm)],[c_11175]) ).
tff(c_11135,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_11105,c_11105,c_758]) ).
tff(c_11469,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_11176,c_11135]) ).
tff(c_11207,plain,
sum('#skF_2','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_11176,c_11176,c_11176,c_790]) ).
tff(c_11153,plain,
pred('#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_11105,c_820]) ).
tff(c_11263,plain,
pred('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_11176,c_11153]) ).
tff(c_11151,plain,
succ(n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_11105,c_854]) ).
tff(c_11245,plain,
succ('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_11176,c_11151]) ).
tff(c_11246,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_11245,c_274]) ).
tff(c_11620,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_11469,c_11152,c_11145,c_11207,c_11263,c_11469,c_11246]) ).
tff(c_11621,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11170,c_11620]) ).
tff(c_11622,plain,
( ( '#skF_2' = '#skF_1' )
| ( n2 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_11175]) ).
tff(c_11820,plain,
n15 = '#skF_2',
inference(splitLeft,[status(thm)],[c_11622]) ).
tff(c_11848,plain,
sum('#skF_2','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_11820,c_11820,c_280]) ).
tff(c_11867,plain,
pred(n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_11820,c_822]) ).
tff(c_11127,plain,
sum('#skF_1',n15) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_11105,c_728]) ).
tff(c_11826,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_11820,c_11127]) ).
tff(c_11869,plain,
succ('#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_11820,c_824]) ).
tff(c_11902,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_11869,c_274]) ).
tff(c_11903,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_11153,c_11135,c_11902]) ).
tff(c_12088,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_762,c_11848,c_11867,c_11826,c_11903]) ).
tff(c_12089,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_244,c_12088]) ).
tff(c_12090,plain,
( ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_11622]) ).
tff(c_12092,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_12090]) ).
tff(c_12095,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_12092,c_12092,c_12092,c_274]) ).
tff(c_12096,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_722,c_816,c_11106,c_11154,c_11145,c_11152,c_11145,c_12095]) ).
tff(c_12098,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_264,c_12096]) ).
tff(c_12099,plain,
( ( n2 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_12090]) ).
tff(c_12101,plain,
n14 = '#skF_2',
inference(splitLeft,[status(thm)],[c_12099]) ).
tff(c_314,plain,
sum(n14,n14) = n12,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_12112,plain,
sum('#skF_2','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_12101,c_12101,c_314]) ).
tff(c_12149,plain,
pred(n15) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_12101,c_792]) ).
tff(c_730,plain,
sum(n1,n14) = n15,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_11113,plain,
sum('#skF_1',n14) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_11105,c_730]) ).
tff(c_12104,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_12101,c_11113]) ).
tff(c_12150,plain,
succ('#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_12101,c_826]) ).
tff(c_12175,plain,
sum(pred(sum('#skF_1',n15)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_12150,c_274]) ).
tff(c_12176,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_822,c_11127,c_12175]) ).
tff(c_12369,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_286,c_12112,c_12149,c_12104,c_12176]) ).
tff(c_12370,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_250,c_12369]) ).
tff(c_12371,plain,
( ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_12099]) ).
tff(c_12373,plain,
n2 = '#skF_2',
inference(splitLeft,[status(thm)],[c_12371]) ).
tff(c_12413,plain,
sum('#skF_2','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_12373,c_12373,c_722]) ).
tff(c_12422,plain,
pred(n3) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_12373,c_816]) ).
tff(c_12378,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_12373,c_11106]) ).
tff(c_752,plain,
sum(n1,n3) = n4,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_11108,plain,
sum('#skF_1',n3) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_11105,c_752]) ).
tff(c_12423,plain,
succ('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_12373,c_850]) ).
tff(c_12443,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_12423,c_274]) ).
tff(c_12444,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_814,c_11108,c_12443]) ).
tff(c_12641,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_686,c_12413,c_12422,c_12378,c_12444]) ).
tff(c_12642,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258,c_12641]) ).
tff(c_12643,plain,
( ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_12371]) ).
tff(c_12645,plain,
n13 = '#skF_2',
inference(splitLeft,[status(thm)],[c_12643]) ).
tff(c_348,plain,
sum(n13,n13) = n10,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_12683,plain,
sum('#skF_2','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_12645,c_12645,c_348]) ).
tff(c_12695,plain,
pred(n14) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_12645,c_794]) ).
tff(c_732,plain,
sum(n1,n13) = n14,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_11147,plain,
sum('#skF_1',n13) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_11105,c_732]) ).
tff(c_12650,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_12645,c_11147]) ).
tff(c_12693,plain,
succ('#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_12645,c_828]) ).
tff(c_12715,plain,
sum(pred(sum('#skF_1',n14)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_12693,c_274]) ).
tff(c_12716,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_792,c_11113,c_12715]) ).
tff(c_12913,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_322,c_12683,c_12695,c_12650,c_12716]) ).
tff(c_12914,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_256,c_12913]) ).
tff(c_12915,plain,
( ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_12643]) ).
tff(c_12917,plain,
n3 = '#skF_2',
inference(splitLeft,[status(thm)],[c_12915]) ).
tff(c_688,plain,
sum(n3,n3) = n6,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_12944,plain,
sum('#skF_2','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_12917,c_12917,c_688]) ).
tff(c_12964,plain,
pred(n4) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_12917,c_814]) ).
tff(c_12918,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_12917,c_11108]) ).
tff(c_750,plain,
sum(n1,n4) = n5,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_11125,plain,
sum('#skF_1',n4) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_11105,c_750]) ).
tff(c_12967,plain,
succ('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_12917,c_848]) ).
tff(c_12995,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_12967,c_274]) ).
tff(c_12996,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_812,c_11125,c_12995]) ).
tff(c_13185,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_650,c_12944,c_12964,c_12918,c_12996]) ).
tff(c_13186,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252,c_13185]) ).
tff(c_13187,plain,
( ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_12915]) ).
tff(c_13189,plain,
n12 = '#skF_2',
inference(splitLeft,[status(thm)],[c_13187]) ).
tff(c_382,plain,
sum(n12,n12) = n8,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_13214,plain,
sum('#skF_2','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_13189,c_13189,c_382]) ).
tff(c_13239,plain,
pred(n13) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_13189,c_796]) ).
tff(c_734,plain,
sum(n1,n12) = n13,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_11132,plain,
sum('#skF_1',n12) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_11105,c_734]) ).
tff(c_13195,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_13189,c_11132]) ).
tff(c_13236,plain,
succ('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_13189,c_830]) ).
tff(c_13271,plain,
sum(pred(sum('#skF_1',n13)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_13236,c_274]) ).
tff(c_13272,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_794,c_11147,c_13271]) ).
tff(c_13457,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_358,c_13214,c_13239,c_13195,c_13272]) ).
tff(c_13458,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_262,c_13457]) ).
tff(c_13459,plain,
( ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_13187]) ).
tff(c_13461,plain,
n4 = '#skF_2',
inference(splitLeft,[status(thm)],[c_13459]) ).
tff(c_654,plain,
sum(n4,n4) = n8,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_13493,plain,
sum('#skF_2','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_13461,c_13461,c_654]) ).
tff(c_13508,plain,
pred(n5) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_13461,c_812]) ).
tff(c_13464,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_13461,c_11125]) ).
tff(c_748,plain,
sum(n1,n5) = n6,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_11123,plain,
sum('#skF_1',n5) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_11105,c_748]) ).
tff(c_13510,plain,
succ('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_13461,c_846]) ).
tff(c_13543,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_13510,c_274]) ).
tff(c_13544,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_810,c_11123,c_13543]) ).
tff(c_13729,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_614,c_13493,c_13508,c_13464,c_13544]) ).
tff(c_13730,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_246,c_13729]) ).
tff(c_13731,plain,
( ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_13459]) ).
tff(c_13733,plain,
n11 = '#skF_2',
inference(splitLeft,[status(thm)],[c_13731]) ).
tff(c_416,plain,
sum(n11,n11) = n6,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_13742,plain,
sum('#skF_2','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_13733,c_13733,c_416]) ).
tff(c_13783,plain,
pred(n12) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_13733,c_798]) ).
tff(c_736,plain,
sum(n1,n11) = n12,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_11114,plain,
sum('#skF_1',n11) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_11105,c_736]) ).
tff(c_13737,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_13733,c_11114]) ).
tff(c_13781,plain,
succ('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_13733,c_832]) ).
tff(c_13811,plain,
sum(pred(sum('#skF_1',n12)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_13781,c_274]) ).
tff(c_13812,plain,
sum(n12,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_796,c_11132,c_13811]) ).
tff(c_14001,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_394,c_13742,c_13783,c_13737,c_13812]) ).
tff(c_14002,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_268,c_14001]) ).
tff(c_14003,plain,
( ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_13731]) ).
tff(c_14005,plain,
n5 = '#skF_2',
inference(splitLeft,[status(thm)],[c_14003]) ).
tff(c_620,plain,
sum(n5,n5) = n10,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_14026,plain,
sum('#skF_2','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_14005,c_14005,c_620]) ).
tff(c_14054,plain,
pred(n6) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_14005,c_810]) ).
tff(c_14009,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_14005,c_11123]) ).
tff(c_746,plain,
sum(n1,n6) = n7,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_11109,plain,
sum('#skF_1',n6) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_11105,c_746]) ).
tff(c_14052,plain,
succ('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_14005,c_844]) ).
tff(c_14075,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_14052,c_274]) ).
tff(c_14076,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_808,c_11109,c_14075]) ).
tff(c_14273,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_578,c_14026,c_14054,c_14009,c_14076]) ).
tff(c_14274,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_272,c_14273]) ).
tff(c_14275,plain,
( ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_14003]) ).
tff(c_14277,plain,
n10 = '#skF_2',
inference(splitLeft,[status(thm)],[c_14275]) ).
tff(c_450,plain,
sum(n10,n10) = n4,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_14299,plain,
sum('#skF_2','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_14277,c_14277,c_450]) ).
tff(c_14327,plain,
pred(n11) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_14277,c_800]) ).
tff(c_738,plain,
sum(n1,n10) = n11,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_11120,plain,
sum('#skF_1',n10) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_11105,c_738]) ).
tff(c_14279,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_14277,c_11120]) ).
tff(c_14325,plain,
succ('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_14277,c_834]) ).
tff(c_14347,plain,
sum(pred(sum('#skF_1',n11)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_14325,c_274]) ).
tff(c_14348,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_798,c_11114,c_14347]) ).
tff(c_14545,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_430,c_14299,c_14327,c_14279,c_14348]) ).
tff(c_14546,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_242,c_14545]) ).
tff(c_14547,plain,
( ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_14275]) ).
tff(c_14549,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_14547]) ).
tff(c_586,plain,
sum(n6,n6) = n12,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_14591,plain,
sum('#skF_2','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_14549,c_14549,c_586]) ).
tff(c_14598,plain,
pred(n7) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_14549,c_808]) ).
tff(c_14550,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_14549,c_11109]) ).
tff(c_744,plain,
sum(n1,n7) = n8,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_11117,plain,
sum('#skF_1',n7) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_11105,c_744]) ).
tff(c_14599,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_14549,c_842]) ).
tff(c_14623,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_14599,c_274]) ).
tff(c_14624,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_806,c_11117,c_14623]) ).
tff(c_14817,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_542,c_14591,c_14598,c_14550,c_14624]) ).
tff(c_14818,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_266,c_14817]) ).
tff(c_14819,plain,
( ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_14547]) ).
tff(c_14821,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_14819]) ).
tff(c_484,plain,
sum(n9,n9) = n2,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_14837,plain,
sum('#skF_2','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_14821,c_14821,c_484]) ).
tff(c_14869,plain,
pred(n10) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_14821,c_802]) ).
tff(c_740,plain,
sum(n1,n9) = n10,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_11134,plain,
sum('#skF_1',n9) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_11105,c_740]) ).
tff(c_14822,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_14821,c_11134]) ).
tff(c_14868,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_14821,c_836]) ).
tff(c_14891,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_14868,c_274]) ).
tff(c_14892,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_800,c_11120,c_14891]) ).
tff(c_15089,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_466,c_14837,c_14869,c_14822,c_14892]) ).
tff(c_15090,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_248,c_15089]) ).
tff(c_15091,plain,
( ( n8 = '#skF_2' )
| ( n7 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_14819]) ).
tff(c_15093,plain,
n7 = '#skF_2',
inference(splitLeft,[status(thm)],[c_15091]) ).
tff(c_552,plain,
sum(n7,n7) = n14,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_15120,plain,
sum('#skF_2','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_15093,c_15093,c_552]) ).
tff(c_15141,plain,
pred(n8) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_15093,c_806]) ).
tff(c_15094,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_15093,c_11117]) ).
tff(c_742,plain,
sum(n1,n8) = n9,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_11111,plain,
sum('#skF_1',n8) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_11105,c_742]) ).
tff(c_15143,plain,
succ('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_15093,c_840]) ).
tff(c_15175,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_15143,c_274]) ).
tff(c_15176,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_804,c_11111,c_15175]) ).
tff(c_15361,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_506,c_15120,c_15141,c_15094,c_15176]) ).
tff(c_15362,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_260,c_15361]) ).
tff(c_15363,plain,
n8 = '#skF_2',
inference(splitRight,[status(thm)],[c_15091]) ).
tff(c_518,plain,
sum(n8,n8) = n0,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_15387,plain,
sum('#skF_2','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_15363,c_15363,c_518]) ).
tff(c_15413,plain,
pred(n9) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_15363,c_804]) ).
tff(c_15367,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_15363,c_11111]) ).
tff(c_15412,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_15363,c_838]) ).
tff(c_15434,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_15412,c_274]) ).
tff(c_15435,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_802,c_11134,c_15434]) ).
tff(c_15632,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_502,c_15387,c_15413,c_15367,c_15435]) ).
tff(c_15633,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_254,c_15632]) ).
tff(c_15634,plain,
( ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_11103]) ).
tff(c_15636,plain,
n14 = '#skF_1',
inference(splitLeft,[status(thm)],[c_15634]) ).
tff(c_16180,plain,
sum('#skF_1',n11) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_320]) ).
tff(c_312,plain,
sum(n14,n15) = n13,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_16179,plain,
sum('#skF_1',n15) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_312]) ).
tff(c_16209,plain,
succ('#skF_1') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_826]) ).
tff(c_16166,plain,
sum('#skF_1','#skF_1') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_15636,c_314]) ).
tff(c_16220,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_244]) ).
tff(c_16184,plain,
sum(n15,n15) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_280]) ).
tff(c_15682,plain,
sum('#skF_1',n13) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_316]) ).
tff(c_15684,plain,
pred(n15) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_792]) ).
tff(c_340,plain,
sum(n14,n1) = n15,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_15674,plain,
sum('#skF_1',n1) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_340]) ).
tff(c_15637,plain,
n0 = '#skF_2',
inference(splitLeft,[status(thm)],[c_276]) ).
tff(c_15731,plain,
sum('#skF_2',n13) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_15637,c_764]) ).
tff(c_15686,plain,
pred('#skF_1') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_794]) ).
tff(c_342,plain,
sum(n14,n0) = n14,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_15673,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_15636,c_342]) ).
tff(c_16117,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_15637,c_15673]) ).
tff(c_15750,plain,
succ('#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_15637,c_854]) ).
tff(c_15789,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_15750,c_274]) ).
tff(c_16158,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_15682,c_15684,c_15674,c_15731,c_15686,c_16117,c_15789]) ).
tff(c_16159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_250,c_16158]) ).
tff(c_16160,plain,
( ( n1 = '#skF_2' )
| ( n2 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_276]) ).
tff(c_16427,plain,
( ( n1 = '#skF_2' )
| ( n2 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n15 = '#skF_2' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_16160]) ).
tff(c_16428,plain,
n15 = '#skF_2',
inference(splitLeft,[status(thm)],[c_16427]) ).
tff(c_16447,plain,
sum('#skF_2',n12) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_16428,c_286]) ).
tff(c_16430,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_16428,c_16179]) ).
tff(c_16210,plain,
pred('#skF_1') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_794]) ).
tff(c_16197,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_15636,c_342]) ).
tff(c_16478,plain,
succ('#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_16428,c_824]) ).
tff(c_16502,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_16478,c_274]) ).
tff(c_16503,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_16210,c_16197,c_16502]) ).
tff(c_16696,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_352,c_16447,c_796,c_16430,c_16503]) ).
tff(c_16697,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_256,c_16696]) ).
tff(c_16698,plain,
( ( '#skF_2' = '#skF_1' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' )
| ( n1 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_16427]) ).
tff(c_16700,plain,
n1 = '#skF_2',
inference(splitLeft,[status(thm)],[c_16698]) ).
tff(c_16163,plain,
sum(n1,'#skF_1') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_730]) ).
tff(c_16701,plain,
sum('#skF_2','#skF_1') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_16700,c_16163]) ).
tff(c_16208,plain,
pred(n15) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_792]) ).
tff(c_16198,plain,
sum('#skF_1',n1) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_340]) ).
tff(c_16702,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_16700,c_16198]) ).
tff(c_338,plain,
sum(n14,n2) = n0,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_16190,plain,
sum('#skF_1',n2) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_338]) ).
tff(c_16750,plain,
succ('#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_16700,c_852]) ).
tff(c_16778,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_16750,c_274]) ).
tff(c_16779,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_822,c_16190,c_16778]) ).
tff(c_16968,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_16184,c_16701,c_16208,c_16702,c_16779]) ).
tff(c_16969,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16220,c_16968]) ).
tff(c_16970,plain,
( ( n2 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_16698]) ).
tff(c_16972,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_16970]) ).
tff(c_16976,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_16972,c_16972,c_16972,c_274]) ).
tff(c_16977,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_388,c_796,c_16180,c_798,c_16179,c_16209,c_16166,c_16976]) ).
tff(c_16979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_262,c_16977]) ).
tff(c_16980,plain,
( ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_16970]) ).
tff(c_16982,plain,
n2 = '#skF_2',
inference(splitLeft,[status(thm)],[c_16980]) ).
tff(c_696,plain,
sum(n2,n15) = n1,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_17025,plain,
sum('#skF_2',n15) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_16982,c_696]) ).
tff(c_16988,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_16982,c_16190]) ).
tff(c_336,plain,
sum(n14,n3) = n1,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_16200,plain,
sum('#skF_1',n3) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_336]) ).
tff(c_17030,plain,
succ('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_16982,c_850]) ).
tff(c_17052,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_17030,c_274]) ).
tff(c_17053,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_820,c_16200,c_17052]) ).
tff(c_17250,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_788,c_17025,c_822,c_16988,c_17053]) ).
tff(c_17251,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_270,c_17250]) ).
tff(c_17252,plain,
( ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_16980]) ).
tff(c_17254,plain,
n13 = '#skF_2',
inference(splitLeft,[status(thm)],[c_17252]) ).
tff(c_17294,plain,
sum('#skF_2',n10) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_17254,c_354]) ).
tff(c_16206,plain,
sum('#skF_1',n13) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_316]) ).
tff(c_17260,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_17254,c_16206]) ).
tff(c_16207,plain,
succ(n13) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_828]) ).
tff(c_17262,plain,
succ('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_17254,c_16207]) ).
tff(c_17336,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_17262,c_274]) ).
tff(c_17337,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_798,c_16166,c_17336]) ).
tff(c_17522,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_424,c_17294,c_800,c_17260,c_17337]) ).
tff(c_17523,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_268,c_17522]) ).
tff(c_17524,plain,
( ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_17252]) ).
tff(c_17526,plain,
n3 = '#skF_2',
inference(splitLeft,[status(thm)],[c_17524]) ).
tff(c_17537,plain,
sum(n1,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_17526,c_752]) ).
tff(c_694,plain,
sum(n3,n0) = n3,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_17535,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_17526,c_17526,c_694]) ).
tff(c_17530,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_17526,c_16200]) ).
tff(c_16193,plain,
sum('#skF_1',n4) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_334]) ).
tff(c_17576,plain,
succ('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_17526,c_848]) ).
tff(c_17604,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_17576,c_274]) ).
tff(c_17605,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_818,c_16193,c_17604]) ).
tff(c_17794,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_17537,c_17535,c_820,c_17530,c_17605]) ).
tff(c_17795,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_264,c_17794]) ).
tff(c_17796,plain,
( ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_17524]) ).
tff(c_17798,plain,
n12 = '#skF_2',
inference(splitLeft,[status(thm)],[c_17796]) ).
tff(c_17821,plain,
sum('#skF_2',n9) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_17798,c_388]) ).
tff(c_16174,plain,
sum('#skF_1',n12) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_318]) ).
tff(c_17801,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_17798,c_16174]) ).
tff(c_17845,plain,
succ('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_17798,c_830]) ).
tff(c_17880,plain,
sum(pred(sum('#skF_1',n13)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_17845,c_274]) ).
tff(c_17881,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_800,c_16206,c_17880]) ).
tff(c_18066,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_460,c_17821,c_802,c_17801,c_17881]) ).
tff(c_18067,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_242,c_18066]) ).
tff(c_18068,plain,
( ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_17796]) ).
tff(c_18070,plain,
n4 = '#skF_2',
inference(splitLeft,[status(thm)],[c_18068]) ).
tff(c_660,plain,
sum(n4,n1) = n5,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_18097,plain,
sum('#skF_2',n1) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_18070,c_660]) ).
tff(c_18072,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_18070,c_16193]) ).
tff(c_16189,plain,
sum('#skF_1',n5) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_332]) ).
tff(c_18119,plain,
succ('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_18070,c_846]) ).
tff(c_18144,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_18119,c_274]) ).
tff(c_18145,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_816,c_16189,c_18144]) ).
tff(c_18338,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_716,c_18097,c_818,c_18072,c_18145]) ).
tff(c_18339,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258,c_18338]) ).
tff(c_18340,plain,
( ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_18068]) ).
tff(c_18342,plain,
n11 = '#skF_2',
inference(splitLeft,[status(thm)],[c_18340]) ).
tff(c_422,plain,
sum(n11,n8) = n3,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_18355,plain,
sum('#skF_2',n8) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_18342,c_422]) ).
tff(c_18343,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_18342,c_16180]) ).
tff(c_18390,plain,
succ('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_18342,c_832]) ).
tff(c_18424,plain,
sum(pred(sum('#skF_1',n12)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_18390,c_274]) ).
tff(c_18425,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_802,c_16174,c_18424]) ).
tff(c_18610,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_496,c_18355,c_804,c_18343,c_18425]) ).
tff(c_18611,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_248,c_18610]) ).
tff(c_18612,plain,
( ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_18340]) ).
tff(c_18614,plain,
n5 = '#skF_2',
inference(splitLeft,[status(thm)],[c_18612]) ).
tff(c_626,plain,
sum(n5,n2) = n7,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_18639,plain,
sum('#skF_2',n2) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_18614,c_626]) ).
tff(c_18615,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_18614,c_16189]) ).
tff(c_16186,plain,
sum('#skF_1',n6) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_330]) ).
tff(c_18661,plain,
succ('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_18614,c_844]) ).
tff(c_18684,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_18661,c_274]) ).
tff(c_18685,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_814,c_16186,c_18684]) ).
tff(c_18882,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_680,c_18639,c_816,c_18615,c_18685]) ).
tff(c_18883,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252,c_18882]) ).
tff(c_18884,plain,
( ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_18612]) ).
tff(c_18886,plain,
n10 = '#skF_2',
inference(splitLeft,[status(thm)],[c_18884]) ).
tff(c_456,plain,
sum(n10,n7) = n1,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_18899,plain,
sum('#skF_2',n7) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_18886,c_456]) ).
tff(c_16192,plain,
sum('#skF_1',n10) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_322]) ).
tff(c_18889,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_18886,c_16192]) ).
tff(c_18934,plain,
succ('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_18886,c_834]) ).
tff(c_18956,plain,
sum(pred(sum('#skF_1',n11)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_18934,c_274]) ).
tff(c_18957,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_804,c_16180,c_18956]) ).
tff(c_19154,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_532,c_18899,c_806,c_18889,c_18957]) ).
tff(c_19155,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_254,c_19154]) ).
tff(c_19156,plain,
( ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_18884]) ).
tff(c_19158,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_19156]) ).
tff(c_592,plain,
sum(n6,n3) = n9,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_19186,plain,
sum('#skF_2',n3) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_19158,c_592]) ).
tff(c_19164,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_19158,c_16186]) ).
tff(c_16173,plain,
sum('#skF_1',n7) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_328]) ).
tff(c_19208,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_19158,c_842]) ).
tff(c_19232,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_19208,c_274]) ).
tff(c_19233,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_812,c_16173,c_19232]) ).
tff(c_19426,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_644,c_19186,c_814,c_19164,c_19233]) ).
tff(c_19427,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_246,c_19426]) ).
tff(c_19428,plain,
( ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_19156]) ).
tff(c_19430,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_19428]) ).
tff(c_490,plain,
sum(n9,n6) = n15,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_19459,plain,
sum('#skF_2',n6) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_19430,c_490]) ).
tff(c_324,plain,
sum(n14,n9) = n7,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_16181,plain,
sum('#skF_1',n9) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_324]) ).
tff(c_19434,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_19430,c_16181]) ).
tff(c_19477,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_19430,c_836]) ).
tff(c_19512,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_19477,c_274]) ).
tff(c_19513,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_806,c_16192,c_19512]) ).
tff(c_19698,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_536,c_19459,c_808,c_19434,c_19513]) ).
tff(c_19699,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_260,c_19698]) ).
tff(c_19700,plain,
( ( n8 = '#skF_2' )
| ( n7 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_19428]) ).
tff(c_19702,plain,
n7 = '#skF_2',
inference(splitLeft,[status(thm)],[c_19700]) ).
tff(c_558,plain,
sum(n7,n4) = n11,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_19710,plain,
sum('#skF_2',n4) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_19702,c_558]) ).
tff(c_19707,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_19702,c_16173]) ).
tff(c_326,plain,
sum(n14,n8) = n6,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_16185,plain,
sum('#skF_1',n8) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_15636,c_326]) ).
tff(c_19752,plain,
succ('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_19702,c_840]) ).
tff(c_19780,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_19752,c_274]) ).
tff(c_19781,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_810,c_16185,c_19780]) ).
tff(c_19970,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_608,c_19710,c_812,c_19707,c_19781]) ).
tff(c_19971,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_272,c_19970]) ).
tff(c_19972,plain,
n8 = '#skF_2',
inference(splitRight,[status(thm)],[c_19700]) ).
tff(c_524,plain,
sum(n8,n5) = n13,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_20015,plain,
sum('#skF_2',n5) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_19972,c_524]) ).
tff(c_19976,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_19972,c_16185]) ).
tff(c_20021,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_19972,c_838]) ).
tff(c_20043,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_20021,c_274]) ).
tff(c_20044,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_808,c_16181,c_20043]) ).
tff(c_20241,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_572,c_20015,c_810,c_19976,c_20044]) ).
tff(c_20242,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_266,c_20241]) ).
tff(c_20243,plain,
( ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_15634]) ).
tff(c_20245,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_20243]) ).
tff(c_20310,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_20245,c_268]) ).
tff(c_544,plain,
sum(n7,n11) = n2,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_20264,plain,
sum(n7,n11) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_20245,c_544]) ).
tff(c_360,plain,
sum(n13,n7) = n4,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_580,plain,
sum(n6,n9) = n15,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_616,plain,
sum(n5,n7) = n12,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_652,plain,
sum(n4,n5) = n9,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_20251,plain,
sum('#skF_1',n3) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_20245,c_720]) ).
tff(c_20292,plain,
succ('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_20245,c_850]) ).
tff(c_20280,plain,
sum('#skF_1','#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_20245,c_20245,c_722]) ).
tff(c_20261,plain,
sum('#skF_1',n1) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_20245,c_724]) ).
tff(c_20315,plain,
( ( n15 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n1 = '#skF_2' )
| ( n0 = '#skF_2' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20245,c_276]) ).
tff(c_20316,plain,
n0 = '#skF_2',
inference(splitLeft,[status(thm)],[c_20315]) ).
tff(c_20337,plain,
sum('#skF_2',n1) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_20316,c_788]) ).
tff(c_20293,plain,
pred('#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_20245,c_818]) ).
tff(c_20289,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_20245,c_20245,c_726]) ).
tff(c_20658,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_20316,c_20289]) ).
tff(c_20291,plain,
pred(n3) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_20245,c_816]) ).
tff(c_20360,plain,
succ('#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_20316,c_854]) ).
tff(c_20391,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_20360,c_274]) ).
tff(c_20768,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_20261,c_20337,c_20293,c_20658,c_20291,c_20261,c_20391]) ).
tff(c_20769,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_266,c_20768]) ).
tff(c_20770,plain,
( ( n1 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_20315]) ).
tff(c_20968,plain,
n15 = '#skF_2',
inference(splitLeft,[status(thm)],[c_20770]) ).
tff(c_20991,plain,
sum(n1,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_20968,c_728]) ).
tff(c_21005,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_20968,c_20968,c_310]) ).
tff(c_20287,plain,
sum('#skF_1',n15) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_20245,c_696]) ).
tff(c_20973,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_20968,c_20287]) ).
tff(c_21017,plain,
succ('#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_20968,c_824]) ).
tff(c_21046,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_21017,c_274]) ).
tff(c_21047,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_20293,c_20289,c_21046]) ).
tff(c_21236,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_20991,c_21005,c_820,c_20973,c_21047]) ).
tff(c_21237,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_272,c_21236]) ).
tff(c_21238,plain,
( ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n1 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_20770]) ).
tff(c_21240,plain,
n1 = '#skF_2',
inference(splitLeft,[status(thm)],[c_21238]) ).
tff(c_20246,plain,
sum(n1,'#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_20245,c_754]) ).
tff(c_21242,plain,
sum('#skF_2','#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_21240,c_20246]) ).
tff(c_21245,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_21240,c_20261]) ).
tff(c_20294,plain,
succ(n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_20245,c_852]) ).
tff(c_21246,plain,
succ('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_21240,c_20294]) ).
tff(c_21322,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_21246,c_274]) ).
tff(c_21323,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_814,c_20280,c_21322]) ).
tff(c_21508,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_688,c_21242,c_20291,c_21245,c_21323]) ).
tff(c_21509,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_260,c_21508]) ).
tff(c_21510,plain,
( ( '#skF_2' = '#skF_1' )
| ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_21238]) ).
tff(c_21512,plain,
n14 = '#skF_2',
inference(splitLeft,[status(thm)],[c_21510]) ).
tff(c_21535,plain,
sum('#skF_2',n15) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_21512,c_312]) ).
tff(c_698,plain,
sum(n2,n14) = n0,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_20266,plain,
sum('#skF_1',n14) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_20245,c_698]) ).
tff(c_21514,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_21512,c_20266]) ).
tff(c_21561,plain,
succ('#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_21512,c_826]) ).
tff(c_21594,plain,
sum(pred(sum('#skF_1',n15)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_21561,c_274]) ).
tff(c_21595,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_820,c_20287,c_21594]) ).
tff(c_21780,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_764,c_21535,c_822,c_21514,c_21595]) ).
tff(c_21781,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_246,c_21780]) ).
tff(c_21782,plain,
( ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_21510]) ).
tff(c_21784,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_21782]) ).
tff(c_21789,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_21784,c_21784,c_21784,c_274]) ).
tff(c_21790,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_652,c_20251,c_814,c_812,c_20251,c_20292,c_20280,c_21789]) ).
tff(c_21792,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_254,c_21790]) ).
tff(c_21793,plain,
( ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_21782]) ).
tff(c_21795,plain,
n13 = '#skF_2',
inference(splitLeft,[status(thm)],[c_21793]) ).
tff(c_346,plain,
sum(n13,n14) = n11,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_21833,plain,
sum('#skF_2',n14) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_21795,c_346]) ).
tff(c_700,plain,
sum(n2,n13) = n15,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_20250,plain,
sum('#skF_1',n13) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_20245,c_700]) ).
tff(c_21801,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_21795,c_20250]) ).
tff(c_21843,plain,
succ('#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_21795,c_828]) ).
tff(c_21877,plain,
sum(pred(sum('#skF_1',n14)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_21843,c_274]) ).
tff(c_21878,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_822,c_20266,c_21877]) ).
tff(c_22063,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_288,c_21833,c_792,c_21801,c_21878]) ).
tff(c_22064,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252,c_22063]) ).
tff(c_22065,plain,
( ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_21793]) ).
tff(c_22067,plain,
n3 = '#skF_2',
inference(splitLeft,[status(thm)],[c_22065]) ).
tff(c_22083,plain,
sum('#skF_2',n4) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_22067,c_686]) ).
tff(c_22072,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_22067,c_20251]) ).
tff(c_20263,plain,
sum('#skF_1',n4) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_20245,c_718]) ).
tff(c_22117,plain,
succ('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_22067,c_848]) ).
tff(c_22137,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_22117,c_274]) ).
tff(c_22138,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_810,c_20263,c_22137]) ).
tff(c_22335,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_616,c_22083,c_812,c_22072,c_22138]) ).
tff(c_22336,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_248,c_22335]) ).
tff(c_22337,plain,
( ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_22065]) ).
tff(c_22339,plain,
n12 = '#skF_2',
inference(splitLeft,[status(thm)],[c_22337]) ).
tff(c_380,plain,
sum(n12,n13) = n9,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_22367,plain,
sum('#skF_2',n13) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_22339,c_380]) ).
tff(c_702,plain,
sum(n2,n12) = n14,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_20270,plain,
sum('#skF_1',n12) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_20245,c_702]) ).
tff(c_22341,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_22339,c_20270]) ).
tff(c_22386,plain,
succ('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_22339,c_830]) ).
tff(c_22421,plain,
sum(pred(sum('#skF_1',n13)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_22386,c_274]) ).
tff(c_22422,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_792,c_20250,c_22421]) ).
tff(c_22607,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_324,c_22367,c_794,c_22341,c_22422]) ).
tff(c_22608,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258,c_22607]) ).
tff(c_22609,plain,
( ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_22337]) ).
tff(c_22611,plain,
n4 = '#skF_2',
inference(splitLeft,[status(thm)],[c_22609]) ).
tff(c_22636,plain,
sum('#skF_2',n5) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_22611,c_652]) ).
tff(c_22613,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_22611,c_20263]) ).
tff(c_20252,plain,
sum('#skF_1',n5) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_20245,c_716]) ).
tff(c_22660,plain,
succ('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_22611,c_846]) ).
tff(c_22685,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_22660,c_274]) ).
tff(c_22686,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_808,c_20252,c_22685]) ).
tff(c_22879,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_580,c_22636,c_810,c_22613,c_22686]) ).
tff(c_22880,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_242,c_22879]) ).
tff(c_22881,plain,
( ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_22609]) ).
tff(c_22883,plain,
n11 = '#skF_2',
inference(splitLeft,[status(thm)],[c_22881]) ).
tff(c_414,plain,
sum(n11,n12) = n7,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_22905,plain,
sum('#skF_2',n12) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_22883,c_414]) ).
tff(c_704,plain,
sum(n2,n11) = n13,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_20267,plain,
sum('#skF_1',n11) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_20245,c_704]) ).
tff(c_22888,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_22883,c_20267]) ).
tff(c_22931,plain,
succ('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_22883,c_832]) ).
tff(c_22953,plain,
sum(pred(sum('#skF_1',n12)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_22931,c_274]) ).
tff(c_22954,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_794,c_20270,c_22953]) ).
tff(c_23151,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_360,c_22905,c_796,c_22888,c_22954]) ).
tff(c_23152,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_264,c_23151]) ).
tff(c_23153,plain,
( ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_22881]) ).
tff(c_23155,plain,
n5 = '#skF_2',
inference(splitLeft,[status(thm)],[c_23153]) ).
tff(c_618,plain,
sum(n5,n6) = n11,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_23174,plain,
sum('#skF_2',n6) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_23155,c_618]) ).
tff(c_23158,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_23155,c_20252]) ).
tff(c_20255,plain,
sum('#skF_1',n6) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_20245,c_714]) ).
tff(c_23202,plain,
succ('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_23155,c_844]) ).
tff(c_23237,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_23202,c_274]) ).
tff(c_23238,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_806,c_20255,c_23237]) ).
tff(c_23423,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_20264,c_23174,c_808,c_23158,c_23238]) ).
tff(c_23424,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20310,c_23423]) ).
tff(c_23425,plain,
( ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_23153]) ).
tff(c_23427,plain,
n10 = '#skF_2',
inference(splitLeft,[status(thm)],[c_23425]) ).
tff(c_448,plain,
sum(n10,n11) = n5,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_23452,plain,
sum('#skF_2',n11) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_23427,c_448]) ).
tff(c_706,plain,
sum(n2,n10) = n12,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_20273,plain,
sum('#skF_1',n10) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_20245,c_706]) ).
tff(c_23432,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_23427,c_20273]) ).
tff(c_23475,plain,
succ('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_23427,c_834]) ).
tff(c_23501,plain,
sum(pred(sum('#skF_1',n11)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_23475,c_274]) ).
tff(c_23502,plain,
sum(n12,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_796,c_20267,c_23501]) ).
tff(c_23695,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_396,c_23452,c_798,c_23432,c_23502]) ).
tff(c_23696,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_270,c_23695]) ).
tff(c_23697,plain,
( ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_23425]) ).
tff(c_23699,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_23697]) ).
tff(c_584,plain,
sum(n6,n7) = n13,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_23719,plain,
sum('#skF_2',n7) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_23699,c_584]) ).
tff(c_23700,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_23699,c_20255]) ).
tff(c_712,plain,
sum(n2,n7) = n9,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_20281,plain,
sum('#skF_1',n7) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_20245,c_712]) ).
tff(c_23749,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_23699,c_842]) ).
tff(c_23773,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_23749,c_274]) ).
tff(c_23774,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_804,c_20281,c_23773]) ).
tff(c_23967,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_508,c_23719,c_806,c_23700,c_23774]) ).
tff(c_23968,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_262,c_23967]) ).
tff(c_23969,plain,
( ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_23697]) ).
tff(c_23971,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_23969]) ).
tff(c_482,plain,
sum(n9,n10) = n3,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_24000,plain,
sum('#skF_2',n10) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_23971,c_482]) ).
tff(c_20271,plain,
sum('#skF_1',n9) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_20245,c_708]) ).
tff(c_23976,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_23971,c_20271]) ).
tff(c_24018,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_23971,c_836]) ).
tff(c_24041,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_24018,c_274]) ).
tff(c_24042,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_798,c_20273,c_24041]) ).
tff(c_24239,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_432,c_24000,c_800,c_23976,c_24042]) ).
tff(c_24240,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_244,c_24239]) ).
tff(c_24241,plain,
( ( n8 = '#skF_2' )
| ( n7 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_23969]) ).
tff(c_24243,plain,
n7 = '#skF_2',
inference(splitLeft,[status(thm)],[c_24241]) ).
tff(c_550,plain,
sum(n7,n8) = n15,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_24268,plain,
sum('#skF_2',n8) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_24243,c_550]) ).
tff(c_24249,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_24243,c_20281]) ).
tff(c_20258,plain,
sum('#skF_1',n8) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_20245,c_710]) ).
tff(c_24293,plain,
succ('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_24243,c_840]) ).
tff(c_24313,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_24293,c_274]) ).
tff(c_24314,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_802,c_20258,c_24313]) ).
tff(c_24511,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_472,c_24268,c_804,c_24249,c_24314]) ).
tff(c_24512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_256,c_24511]) ).
tff(c_24513,plain,
n8 = '#skF_2',
inference(splitRight,[status(thm)],[c_24241]) ).
tff(c_516,plain,
sum(n8,n9) = n1,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_24556,plain,
sum('#skF_2',n9) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_24513,c_516]) ).
tff(c_24518,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_24513,c_20258]) ).
tff(c_24562,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_24513,c_838]) ).
tff(c_24584,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_24562,c_274]) ).
tff(c_24585,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_800,c_20271,c_24584]) ).
tff(c_24782,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_468,c_24556,c_802,c_24518,c_24585]) ).
tff(c_24783,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_250,c_24782]) ).
tff(c_24784,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_20243]) ).
tff(c_24786,plain,
n13 = '#skF_1',
inference(splitLeft,[status(thm)],[c_24784]) ).
tff(c_24846,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_24786,c_246]) ).
tff(c_494,plain,
sum(n9,n4) = n13,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_24795,plain,
sum(n9,n4) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_24786,c_494]) ).
tff(c_458,plain,
sum(n10,n6) = n0,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_24818,plain,
sum('#skF_1',n9) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_24786,c_356]) ).
tff(c_24823,plain,
sum('#skF_1',n14) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_24786,c_346]) ).
tff(c_24833,plain,
succ('#skF_1') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_24786,c_828]) ).
tff(c_24822,plain,
sum('#skF_1','#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_24786,c_24786,c_348]) ).
tff(c_24821,plain,
sum('#skF_1',n12) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_24786,c_350]) ).
tff(c_24835,plain,
pred(n14) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_24786,c_794]) ).
tff(c_372,plain,
sum(n13,n1) = n14,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_24810,plain,
sum('#skF_1',n1) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_24786,c_372]) ).
tff(c_24856,plain,
( ( n15 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' )
| ( n1 = '#skF_2' )
| ( n0 = '#skF_2' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24786,c_276]) ).
tff(c_24857,plain,
n0 = '#skF_2',
inference(splitLeft,[status(thm)],[c_24856]) ).
tff(c_24879,plain,
sum('#skF_2',n12) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_24857,c_766]) ).
tff(c_24834,plain,
pred('#skF_1') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_24786,c_796]) ).
tff(c_374,plain,
sum(n13,n0) = n13,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_24809,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_24786,c_24786,c_374]) ).
tff(c_25219,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_24857,c_24809]) ).
tff(c_24901,plain,
succ('#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_24857,c_854]) ).
tff(c_24928,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_24901,c_274]) ).
tff(c_25309,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_24821,c_24835,c_24810,c_24879,c_24834,c_25219,c_24928]) ).
tff(c_25310,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_254,c_25309]) ).
tff(c_25311,plain,
( ( n1 = '#skF_2' )
| ( n2 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_24856]) ).
tff(c_25509,plain,
n15 = '#skF_2',
inference(splitLeft,[status(thm)],[c_25311]) ).
tff(c_25524,plain,
sum('#skF_2',n11) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_25509,c_288]) ).
tff(c_344,plain,
sum(n13,n15) = n12,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_24797,plain,
sum('#skF_1',n15) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_24786,c_344]) ).
tff(c_25510,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_25509,c_24797]) ).
tff(c_25558,plain,
succ('#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_25509,c_824]) ).
tff(c_25587,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_25558,c_274]) ).
tff(c_25588,plain,
sum(n12,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_24834,c_24809,c_25587]) ).
tff(c_25777,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_386,c_25524,c_798,c_25510,c_25588]) ).
tff(c_25778,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_260,c_25777]) ).
tff(c_25779,plain,
( ( n14 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' )
| ( n1 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_25311]) ).
tff(c_25781,plain,
n1 = '#skF_2',
inference(splitLeft,[status(thm)],[c_25779]) ).
tff(c_24827,plain,
sum(n1,'#skF_1') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_24786,c_732]) ).
tff(c_25787,plain,
sum('#skF_2','#skF_1') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_25781,c_24827]) ).
tff(c_25784,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_25781,c_24810]) ).
tff(c_370,plain,
sum(n13,n2) = n15,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_24811,plain,
sum('#skF_1',n2) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_24786,c_370]) ).
tff(c_25831,plain,
succ('#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_25781,c_852]) ).
tff(c_25863,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_25831,c_274]) ).
tff(c_25864,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_792,c_24811,c_25863]) ).
tff(c_26049,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_314,c_25787,c_24835,c_25784,c_25864]) ).
tff(c_26050,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_248,c_26049]) ).
tff(c_26051,plain,
( ( n2 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n14 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_25779]) ).
tff(c_26053,plain,
n14 = '#skF_2',
inference(splitLeft,[status(thm)],[c_26051]) ).
tff(c_26092,plain,
sum('#skF_2',n10) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_26053,c_322]) ).
tff(c_26057,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_26053,c_24823]) ).
tff(c_26103,plain,
succ('#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_26053,c_826]) ).
tff(c_26123,plain,
sum(pred(sum('#skF_1',n15)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_26103,c_274]) ).
tff(c_26124,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_798,c_24797,c_26123]) ).
tff(c_26321,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_422,c_26092,c_800,c_26057,c_26124]) ).
tff(c_26322,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_266,c_26321]) ).
tff(c_26323,plain,
( ( '#skF_2' = '#skF_1' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_26051]) ).
tff(c_26325,plain,
n2 = '#skF_2',
inference(splitLeft,[status(thm)],[c_26323]) ).
tff(c_26351,plain,
sum('#skF_2',n14) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_26325,c_698]) ).
tff(c_26328,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_26325,c_24811]) ).
tff(c_24812,plain,
sum('#skF_1',n3) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_24786,c_368]) ).
tff(c_26373,plain,
succ('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_26325,c_850]) ).
tff(c_26395,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_26373,c_274]) ).
tff(c_26396,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_822,c_24812,c_26395]) ).
tff(c_26593,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_310,c_26351,c_792,c_26328,c_26396]) ).
tff(c_26594,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_242,c_26593]) ).
tff(c_26595,plain,
( ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_26323]) ).
tff(c_26597,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_26595]) ).
tff(c_26603,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_26597,c_26597,c_26597,c_274]) ).
tff(c_26604,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_458,c_800,c_24818,c_802,c_24823,c_24833,c_24822,c_26603]) ).
tff(c_26606,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_272,c_26604]) ).
tff(c_26607,plain,
( ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_26595]) ).
tff(c_26609,plain,
n3 = '#skF_2',
inference(splitLeft,[status(thm)],[c_26607]) ).
tff(c_664,plain,
sum(n3,n15) = n2,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_26648,plain,
sum('#skF_2',n15) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_26609,c_664]) ).
tff(c_26611,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_26609,c_24812]) ).
tff(c_24813,plain,
sum('#skF_1',n4) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_24786,c_366]) ).
tff(c_26659,plain,
succ('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_26609,c_848]) ).
tff(c_26687,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_26659,c_274]) ).
tff(c_26688,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_820,c_24813,c_26687]) ).
tff(c_26877,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_786,c_26648,c_822,c_26611,c_26688]) ).
tff(c_26878,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_268,c_26877]) ).
tff(c_26879,plain,
( ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_26607]) ).
tff(c_26881,plain,
n12 = '#skF_2',
inference(splitLeft,[status(thm)],[c_26879]) ).
tff(c_26891,plain,
sum('#skF_2',n8) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_26881,c_390]) ).
tff(c_26887,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_26881,c_24821]) ).
tff(c_24832,plain,
succ(n12) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_24786,c_830]) ).
tff(c_26888,plain,
succ('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_26881,c_24832]) ).
tff(c_26959,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_26888,c_274]) ).
tff(c_26960,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_802,c_24822,c_26959]) ).
tff(c_27149,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_24795,c_26891,c_804,c_26887,c_26960]) ).
tff(c_27150,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24846,c_27149]) ).
tff(c_27151,plain,
( ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_26879]) ).
tff(c_27153,plain,
n4 = '#skF_2',
inference(splitLeft,[status(thm)],[c_27151]) ).
tff(c_27173,plain,
sum(n1,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_27153,c_750]) ).
tff(c_662,plain,
sum(n4,n0) = n4,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_27165,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_27153,c_27153,c_662]) ).
tff(c_27157,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_27153,c_24813]) ).
tff(c_24814,plain,
sum('#skF_1',n5) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_24786,c_364]) ).
tff(c_27202,plain,
succ('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_27153,c_846]) ).
tff(c_27231,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_27202,c_274]) ).
tff(c_27232,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_818,c_24814,c_27231]) ).
tff(c_27421,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_27173,c_27165,c_820,c_27157,c_27232]) ).
tff(c_27422,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_262,c_27421]) ).
tff(c_27423,plain,
( ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_27151]) ).
tff(c_27425,plain,
n11 = '#skF_2',
inference(splitLeft,[status(thm)],[c_27423]) ).
tff(c_27437,plain,
sum('#skF_2',n7) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_27425,c_424]) ).
tff(c_24820,plain,
sum('#skF_1',n11) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_24786,c_352]) ).
tff(c_27427,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_27425,c_24820]) ).
tff(c_27473,plain,
succ('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_27425,c_832]) ).
tff(c_27499,plain,
sum(pred(sum('#skF_1',n12)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_27473,c_274]) ).
tff(c_27500,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_804,c_24821,c_27499]) ).
tff(c_27693,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_530,c_27437,c_806,c_27427,c_27500]) ).
tff(c_27694,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252,c_27693]) ).
tff(c_27695,plain,
( ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_27423]) ).
tff(c_27697,plain,
n5 = '#skF_2',
inference(splitLeft,[status(thm)],[c_27695]) ).
tff(c_628,plain,
sum(n5,n1) = n6,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_27742,plain,
sum('#skF_2',n1) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_27697,c_628]) ).
tff(c_27698,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_27697,c_24814]) ).
tff(c_362,plain,
sum(n13,n6) = n3,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_24815,plain,
sum('#skF_1',n6) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_24786,c_362]) ).
tff(c_27744,plain,
succ('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_27697,c_844]) ).
tff(c_27767,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_27744,c_274]) ).
tff(c_27768,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_816,c_24815,c_27767]) ).
tff(c_27965,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_714,c_27742,c_818,c_27698,c_27768]) ).
tff(c_27966,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_256,c_27965]) ).
tff(c_27967,plain,
( ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_27695]) ).
tff(c_27969,plain,
n10 = '#skF_2',
inference(splitLeft,[status(thm)],[c_27967]) ).
tff(c_27988,plain,
sum('#skF_2',n6) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_27969,c_458]) ).
tff(c_24819,plain,
sum('#skF_1',n10) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_24786,c_354]) ).
tff(c_27971,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_27969,c_24819]) ).
tff(c_28017,plain,
succ('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_27969,c_834]) ).
tff(c_28051,plain,
sum(pred(sum('#skF_1',n11)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_28017,c_274]) ).
tff(c_28052,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_806,c_24820,c_28051]) ).
tff(c_28237,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_566,c_27988,c_808,c_27971,c_28052]) ).
tff(c_28238,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258,c_28237]) ).
tff(c_28239,plain,
( ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_27967]) ).
tff(c_28241,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_28239]) ).
tff(c_594,plain,
sum(n6,n2) = n8,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_28285,plain,
sum('#skF_2',n2) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_28241,c_594]) ).
tff(c_28247,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_28241,c_24815]) ).
tff(c_24816,plain,
sum('#skF_1',n7) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_24786,c_360]) ).
tff(c_28291,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_28241,c_842]) ).
tff(c_28315,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_28291,c_274]) ).
tff(c_28316,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_814,c_24816,c_28315]) ).
tff(c_28509,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_678,c_28285,c_816,c_28247,c_28316]) ).
tff(c_28510,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_250,c_28509]) ).
tff(c_28511,plain,
( ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_28239]) ).
tff(c_28513,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_28511]) ).
tff(c_492,plain,
sum(n9,n5) = n14,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_28538,plain,
sum('#skF_2',n5) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_28513,c_492]) ).
tff(c_28517,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_28513,c_24818]) ).
tff(c_28560,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_28513,c_836]) ).
tff(c_28587,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_28560,c_274]) ).
tff(c_28588,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_808,c_24819,c_28587]) ).
tff(c_28781,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_570,c_28538,c_810,c_28517,c_28588]) ).
tff(c_28782,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_264,c_28781]) ).
tff(c_28783,plain,
( ( n8 = '#skF_2' )
| ( n7 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_28511]) ).
tff(c_28785,plain,
n7 = '#skF_2',
inference(splitLeft,[status(thm)],[c_28783]) ).
tff(c_560,plain,
sum(n7,n3) = n10,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_28821,plain,
sum('#skF_2',n3) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_28785,c_560]) ).
tff(c_28787,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_28785,c_24816]) ).
tff(c_24817,plain,
sum('#skF_1',n8) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_24786,c_358]) ).
tff(c_28835,plain,
succ('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_28785,c_840]) ).
tff(c_28863,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_28835,c_274]) ).
tff(c_28864,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_812,c_24817,c_28863]) ).
tff(c_29053,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_642,c_28821,c_814,c_28787,c_28864]) ).
tff(c_29054,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_244,c_29053]) ).
tff(c_29055,plain,
n8 = '#skF_2',
inference(splitRight,[status(thm)],[c_28783]) ).
tff(c_526,plain,
sum(n8,n4) = n12,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_29086,plain,
sum('#skF_2',n4) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_29055,c_526]) ).
tff(c_29061,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_29055,c_24817]) ).
tff(c_29104,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_29055,c_838]) ).
tff(c_29126,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_29104,c_274]) ).
tff(c_29127,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_810,c_24818,c_29126]) ).
tff(c_29324,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_606,c_29086,c_812,c_29061,c_29127]) ).
tff(c_29325,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_270,c_29324]) ).
tff(c_29326,plain,
( ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_24784]) ).
tff(c_32324,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_29326]) ).
tff(c_32389,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_32324,c_266]) ).
tff(c_32362,plain,
sum(n13,n6) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_32324,c_362]) ).
tff(c_510,plain,
sum(n8,n12) = n4,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_546,plain,
sum(n7,n10) = n1,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_582,plain,
sum(n6,n8) = n14,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_32356,plain,
sum('#skF_1',n5) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_32324,c_684]) ).
tff(c_32333,plain,
sum('#skF_1',n4) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_32324,c_686]) ).
tff(c_32373,plain,
succ('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_32324,c_848]) ).
tff(c_32347,plain,
sum('#skF_1','#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_32324,c_32324,c_688]) ).
tff(c_29605,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_29326]) ).
tff(c_29640,plain,
sum('#skF_1',n2) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_29605,c_690]) ).
tff(c_29328,plain,
n0 = '#skF_2',
inference(splitLeft,[status(thm)],[c_276]) ).
tff(c_29373,plain,
sum('#skF_2',n2) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_29328,c_786]) ).
tff(c_29653,plain,
pred('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_29605,c_816]) ).
tff(c_29330,plain,
sum(n3,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_29328,c_694]) ).
tff(c_29609,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_29605,c_29605,c_29330]) ).
tff(c_29652,plain,
pred(n4) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_29605,c_814]) ).
tff(c_29635,plain,
sum('#skF_1',n1) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_29605,c_692]) ).
tff(c_29376,plain,
succ('#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_29328,c_854]) ).
tff(c_29404,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_29376,c_274]) ).
tff(c_29851,plain,
sum(pred(n4),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_29635,c_29404]) ).
tff(c_29852,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_29652,c_29851]) ).
tff(c_29873,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_29640,c_29373,c_29653,c_29609,c_29852]) ).
tff(c_29874,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_262,c_29873]) ).
tff(c_29875,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_29326]) ).
tff(c_29877,plain,
n12 = '#skF_1',
inference(splitLeft,[status(thm)],[c_29875]) ).
tff(c_29902,plain,
sum('#skF_1',n11) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_29877,c_384]) ).
tff(c_29375,plain,
sum('#skF_2',n11) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_29328,c_768]) ).
tff(c_29926,plain,
pred('#skF_1') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_29877,c_798]) ).
tff(c_406,plain,
sum(n12,n0) = n12,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_29331,plain,
sum(n12,'#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_29328,c_406]) ).
tff(c_29879,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_29877,c_29877,c_29331]) ).
tff(c_29927,plain,
pred(n13) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_29877,c_796]) ).
tff(c_404,plain,
sum(n12,n1) = n13,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_29889,plain,
sum('#skF_1',n1) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_29877,c_404]) ).
tff(c_30015,plain,
sum(pred(n13),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_29889,c_29404]) ).
tff(c_30016,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_29927,c_30015]) ).
tff(c_30145,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_29902,c_29375,c_29926,c_29879,c_30016]) ).
tff(c_30146,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258,c_30145]) ).
tff(c_30147,plain,
( ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_29875]) ).
tff(c_30149,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_30147]) ).
tff(c_30177,plain,
sum('#skF_1',n3) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_30149,c_656]) ).
tff(c_29365,plain,
sum('#skF_2',n3) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_29328,c_784]) ).
tff(c_30197,plain,
pred('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_30149,c_814]) ).
tff(c_29333,plain,
sum(n4,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_29328,c_662]) ).
tff(c_30151,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_30149,c_30149,c_29333]) ).
tff(c_30196,plain,
pred(n5) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_30149,c_812]) ).
tff(c_30173,plain,
sum('#skF_1',n1) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_30149,c_660]) ).
tff(c_30367,plain,
sum(pred(n5),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_30173,c_29404]) ).
tff(c_30368,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_30196,c_30367]) ).
tff(c_30417,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_30177,c_29365,c_30197,c_30151,c_30368]) ).
tff(c_30418,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258,c_30417]) ).
tff(c_30419,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_30147]) ).
tff(c_30421,plain,
n11 = '#skF_1',
inference(splitLeft,[status(thm)],[c_30419]) ).
tff(c_30434,plain,
sum('#skF_1',n10) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_30421,c_418]) ).
tff(c_29370,plain,
sum('#skF_2',n10) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_29328,c_770]) ).
tff(c_30470,plain,
pred('#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_30421,c_800]) ).
tff(c_29361,plain,
sum(n11,'#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_29328,c_438]) ).
tff(c_30424,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_30421,c_30421,c_29361]) ).
tff(c_30471,plain,
pred(n12) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_30421,c_798]) ).
tff(c_30427,plain,
sum('#skF_1',n1) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_30421,c_436]) ).
tff(c_30571,plain,
sum(pred(n12),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_30427,c_29404]) ).
tff(c_30572,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_30471,c_30571]) ).
tff(c_30689,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_30434,c_29370,c_30470,c_30424,c_30572]) ).
tff(c_30690,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_262,c_30689]) ).
tff(c_30691,plain,
( ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_30419]) ).
tff(c_30693,plain,
n5 = '#skF_1',
inference(splitLeft,[status(thm)],[c_30691]) ).
tff(c_30714,plain,
sum('#skF_1',n4) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_30693,c_622]) ).
tff(c_29362,plain,
sum('#skF_2',n4) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_29328,c_782]) ).
tff(c_30741,plain,
pred('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_30693,c_812]) ).
tff(c_630,plain,
sum(n5,n0) = n5,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_29335,plain,
sum(n5,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_29328,c_630]) ).
tff(c_30696,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_30693,c_30693,c_29335]) ).
tff(c_30742,plain,
pred(n6) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_30693,c_810]) ).
tff(c_30738,plain,
sum('#skF_1',n1) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_30693,c_628]) ).
tff(c_30799,plain,
sum(pred(n6),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_30738,c_29404]) ).
tff(c_30800,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_30742,c_30799]) ).
tff(c_30961,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_30714,c_29362,c_30741,c_30696,c_30800]) ).
tff(c_30962,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_254,c_30961]) ).
tff(c_30963,plain,
( ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_30691]) ).
tff(c_30965,plain,
n10 = '#skF_1',
inference(splitLeft,[status(thm)],[c_30963]) ).
tff(c_30986,plain,
sum('#skF_1',n9) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_30965,c_452]) ).
tff(c_29354,plain,
sum('#skF_2',n9) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_29328,c_772]) ).
tff(c_31014,plain,
pred('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_30965,c_802]) ).
tff(c_29358,plain,
sum(n10,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_29328,c_470]) ).
tff(c_30968,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_30965,c_30965,c_29358]) ).
tff(c_31015,plain,
pred(n11) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_30965,c_800]) ).
tff(c_30979,plain,
sum('#skF_1',n1) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_30965,c_468]) ).
tff(c_31107,plain,
sum(pred(n11),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_30979,c_29404]) ).
tff(c_31108,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_31015,c_31107]) ).
tff(c_31233,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_30986,c_29354,c_31014,c_30968,c_31108]) ).
tff(c_31234,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_266,c_31233]) ).
tff(c_31235,plain,
( ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_30963]) ).
tff(c_31237,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_31235]) ).
tff(c_31268,plain,
sum('#skF_1',n5) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_31237,c_588]) ).
tff(c_29374,plain,
sum('#skF_2',n5) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_29328,c_780]) ).
tff(c_31285,plain,
pred('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_31237,c_810]) ).
tff(c_29344,plain,
sum(n6,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_29328,c_598]) ).
tff(c_31240,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_31237,c_31237,c_29344]) ).
tff(c_31286,plain,
pred(n7) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_31237,c_808]) ).
tff(c_596,plain,
sum(n6,n1) = n7,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_31266,plain,
sum('#skF_1',n1) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_31237,c_596]) ).
tff(c_31419,plain,
sum(pred(n7),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_31266,c_29404]) ).
tff(c_31420,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_31286,c_31419]) ).
tff(c_31505,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_31268,c_29374,c_31285,c_31240,c_31420]) ).
tff(c_31506,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_250,c_31505]) ).
tff(c_31507,plain,
( ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_31235]) ).
tff(c_31509,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_31507]) ).
tff(c_31534,plain,
sum('#skF_1',n8) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_31509,c_486]) ).
tff(c_29339,plain,
sum('#skF_2',n8) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_29328,c_774]) ).
tff(c_31559,plain,
pred('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_31509,c_804]) ).
tff(c_29342,plain,
sum(n9,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_29328,c_502]) ).
tff(c_31511,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_31509,c_31509,c_29342]) ).
tff(c_31557,plain,
pred(n10) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_31509,c_802]) ).
tff(c_31553,plain,
sum('#skF_1',n1) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_31509,c_500]) ).
tff(c_31615,plain,
sum(pred(n10),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_31553,c_29404]) ).
tff(c_31616,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_31557,c_31615]) ).
tff(c_31777,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_31534,c_29339,c_31559,c_31511,c_31616]) ).
tff(c_31778,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_270,c_31777]) ).
tff(c_31779,plain,
( ( n8 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_31507]) ).
tff(c_31781,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_31779]) ).
tff(c_31819,plain,
sum('#skF_1',n6) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_31781,c_554]) ).
tff(c_29369,plain,
sum('#skF_2',n6) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_29328,c_778]) ).
tff(c_31828,plain,
pred('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_31781,c_808]) ).
tff(c_29352,plain,
sum(n7,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_29328,c_566]) ).
tff(c_31785,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_31781,c_31781,c_29352]) ).
tff(c_31829,plain,
pred(n8) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_31781,c_806]) ).
tff(c_564,plain,
sum(n7,n1) = n8,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_31825,plain,
sum('#skF_1',n1) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_31781,c_564]) ).
tff(c_31887,plain,
sum(pred(n8),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_31825,c_29404]) ).
tff(c_31888,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_31829,c_31887]) ).
tff(c_32049,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_31819,c_29369,c_31828,c_31785,c_31888]) ).
tff(c_32050,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_246,c_32049]) ).
tff(c_32051,plain,
n8 = '#skF_1',
inference(splitRight,[status(thm)],[c_31779]) ).
tff(c_32060,plain,
sum('#skF_1',n7) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_32051,c_520]) ).
tff(c_32101,plain,
pred(n9) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_32051,c_804]) ).
tff(c_32067,plain,
sum('#skF_1',n1) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_32051,c_532]) ).
tff(c_29353,plain,
sum('#skF_2',n7) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_29328,c_776]) ).
tff(c_32099,plain,
pred('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_32051,c_806]) ).
tff(c_29347,plain,
sum(n8,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_29328,c_534]) ).
tff(c_32054,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_32051,c_32051,c_29347]) ).
tff(c_32250,plain,
sum(pred(sum('#skF_1',n1)),sum('#skF_2',pred('#skF_1'))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_32054,c_29404]) ).
tff(c_32251,plain,
sum(pred(sum('#skF_1',n1)),n7) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_29353,c_32099,c_32250]) ).
tff(c_32320,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_32060,c_32101,c_32067,c_32251]) ).
tff(c_32321,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_242,c_32320]) ).
tff(c_32322,plain,
( ( n1 = '#skF_2' )
| ( n2 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_276]) ).
tff(c_32590,plain,
( ( n1 = '#skF_2' )
| ( n2 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32324,c_32322]) ).
tff(c_32591,plain,
n15 = '#skF_2',
inference(splitLeft,[status(thm)],[c_32590]) ).
tff(c_32624,plain,
sum('#skF_2',n1) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_32591,c_308]) ).
tff(c_32357,plain,
sum('#skF_1',n15) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_32324,c_664]) ).
tff(c_32596,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_32591,c_32357]) ).
tff(c_32371,plain,
pred('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_32324,c_816]) ).
tff(c_32326,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_32324,c_32324,c_694]) ).
tff(c_32640,plain,
succ('#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_32591,c_824]) ).
tff(c_32669,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_32640,c_274]) ).
tff(c_32670,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_32371,c_32326,c_32669]) ).
tff(c_32859,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_726,c_32624,c_818,c_32596,c_32670]) ).
tff(c_32860,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_268,c_32859]) ).
tff(c_32861,plain,
( ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n2 = '#skF_2' )
| ( n1 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_32590]) ).
tff(c_32863,plain,
n1 = '#skF_2',
inference(splitLeft,[status(thm)],[c_32861]) ).
tff(c_32328,plain,
sum(n1,'#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_32324,c_752]) ).
tff(c_32865,plain,
sum('#skF_2','#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_32863,c_32328]) ).
tff(c_32370,plain,
pred(n4) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_32324,c_814]) ).
tff(c_32350,plain,
sum('#skF_1',n1) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_32324,c_692]) ).
tff(c_32866,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_32863,c_32350]) ).
tff(c_32355,plain,
sum('#skF_1',n2) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_32324,c_690]) ).
tff(c_32913,plain,
succ('#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_32863,c_852]) ).
tff(c_32945,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_32913,c_274]) ).
tff(c_32946,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_812,c_32355,c_32945]) ).
tff(c_33131,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_654,c_32865,c_32370,c_32866,c_32946]) ).
tff(c_33132,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_256,c_33131]) ).
tff(c_33133,plain,
( ( n2 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_32861]) ).
tff(c_33135,plain,
n14 = '#skF_2',
inference(splitLeft,[status(thm)],[c_33133]) ).
tff(c_33144,plain,
sum(n1,'#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_33135,c_730]) ).
tff(c_33174,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_33135,c_33135,c_342]) ).
tff(c_666,plain,
sum(n3,n14) = n1,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_32367,plain,
sum('#skF_1',n14) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_32324,c_666]) ).
tff(c_33139,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_33135,c_32367]) ).
tff(c_33184,plain,
succ('#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_33135,c_826]) ).
tff(c_33217,plain,
sum(pred(sum('#skF_1',n15)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_33184,c_274]) ).
tff(c_33218,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_818,c_32357,c_33217]) ).
tff(c_33403,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_33144,c_33174,c_820,c_33139,c_33218]) ).
tff(c_33404,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_242,c_33403]) ).
tff(c_33405,plain,
( ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n2 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_33133]) ).
tff(c_33407,plain,
n2 = '#skF_2',
inference(splitLeft,[status(thm)],[c_33405]) ).
tff(c_33431,plain,
sum('#skF_2',n4) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_33407,c_718]) ).
tff(c_33411,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_33407,c_32355]) ).
tff(c_32372,plain,
succ(n2) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_32324,c_850]) ).
tff(c_33415,plain,
succ('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_33407,c_32372]) ).
tff(c_33485,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_33415,c_274]) ).
tff(c_33486,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_810,c_32347,c_33485]) ).
tff(c_33675,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_618,c_33431,c_812,c_33411,c_33486]) ).
tff(c_33676,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_250,c_33675]) ).
tff(c_33677,plain,
( ( '#skF_2' = '#skF_1' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_33405]) ).
tff(c_33679,plain,
n13 = '#skF_2',
inference(splitLeft,[status(thm)],[c_33677]) ).
tff(c_33697,plain,
sum('#skF_2',n15) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_33679,c_344]) ).
tff(c_668,plain,
sum(n3,n13) = n0,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_32369,plain,
sum('#skF_1',n13) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_32324,c_668]) ).
tff(c_33685,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_33679,c_32369]) ).
tff(c_33727,plain,
succ('#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_33679,c_828]) ).
tff(c_33757,plain,
sum(pred(sum('#skF_1',n14)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_33727,c_274]) ).
tff(c_33758,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_820,c_32367,c_33757]) ).
tff(c_33947,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_766,c_33697,c_822,c_33685,c_33758]) ).
tff(c_33948,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_248,c_33947]) ).
tff(c_33949,plain,
( ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_33677]) ).
tff(c_33951,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_33949]) ).
tff(c_33958,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_33951,c_33951,c_33951,c_274]) ).
tff(c_33959,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_582,c_808,c_32356,c_810,c_32333,c_32373,c_32347,c_33958]) ).
tff(c_33961,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_244,c_33959]) ).
tff(c_33962,plain,
( ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_33949]) ).
tff(c_33964,plain,
n12 = '#skF_2',
inference(splitLeft,[status(thm)],[c_33962]) ).
tff(c_378,plain,
sum(n12,n14) = n10,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_34004,plain,
sum('#skF_2',n14) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_33964,c_378]) ).
tff(c_670,plain,
sum(n3,n12) = n15,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_32335,plain,
sum('#skF_1',n12) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_32324,c_670]) ).
tff(c_33967,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_33964,c_32335]) ).
tff(c_34011,plain,
succ('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_33964,c_830]) ).
tff(c_34034,plain,
sum(pred(sum('#skF_1',n13)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_34011,c_274]) ).
tff(c_34035,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_822,c_32369,c_34034]) ).
tff(c_34232,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_290,c_34004,c_792,c_33967,c_34035]) ).
tff(c_34233,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_254,c_34232]) ).
tff(c_34234,plain,
( ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_33962]) ).
tff(c_34236,plain,
n4 = '#skF_2',
inference(splitLeft,[status(thm)],[c_34234]) ).
tff(c_34271,plain,
sum('#skF_2',n6) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_34236,c_650]) ).
tff(c_34237,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_34236,c_32333]) ).
tff(c_34286,plain,
succ('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_34236,c_846]) ).
tff(c_34306,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_34286,c_274]) ).
tff(c_34307,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_806,c_32356,c_34306]) ).
tff(c_34504,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_546,c_34271,c_808,c_34237,c_34307]) ).
tff(c_34505,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_270,c_34504]) ).
tff(c_34506,plain,
( ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_34234]) ).
tff(c_34508,plain,
n11 = '#skF_2',
inference(splitLeft,[status(thm)],[c_34506]) ).
tff(c_412,plain,
sum(n11,n13) = n8,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_34523,plain,
sum('#skF_2',n13) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_34508,c_412]) ).
tff(c_32348,plain,
sum('#skF_1',n11) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_32324,c_672]) ).
tff(c_34514,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_34508,c_32348]) ).
tff(c_34556,plain,
succ('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_34508,c_832]) ).
tff(c_34578,plain,
sum(pred(sum('#skF_1',n12)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_34556,c_274]) ).
tff(c_34579,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_792,c_32335,c_34578]) ).
tff(c_34776,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_326,c_34523,c_794,c_34514,c_34579]) ).
tff(c_34777,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_260,c_34776]) ).
tff(c_34778,plain,
( ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_34506]) ).
tff(c_34780,plain,
n5 = '#skF_2',
inference(splitLeft,[status(thm)],[c_34778]) ).
tff(c_34800,plain,
sum('#skF_2',n7) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_34780,c_616]) ).
tff(c_34782,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_34780,c_32356]) ).
tff(c_32340,plain,
sum('#skF_1',n6) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_32324,c_682]) ).
tff(c_34827,plain,
succ('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_34780,c_844]) ).
tff(c_34850,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_34827,c_274]) ).
tff(c_34851,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_804,c_32340,c_34850]) ).
tff(c_35048,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_510,c_34800,c_806,c_34782,c_34851]) ).
tff(c_35049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_264,c_35048]) ).
tff(c_35050,plain,
( ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_34778]) ).
tff(c_35052,plain,
n10 = '#skF_2',
inference(splitLeft,[status(thm)],[c_35050]) ).
tff(c_446,plain,
sum(n10,n12) = n6,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_35078,plain,
sum('#skF_2',n12) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_35052,c_446]) ).
tff(c_32366,plain,
sum('#skF_1',n10) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_32324,c_674]) ).
tff(c_35057,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_35052,c_32366]) ).
tff(c_35100,plain,
succ('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_35052,c_834]) ).
tff(c_35134,plain,
sum(pred(sum('#skF_1',n11)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_35100,c_274]) ).
tff(c_35135,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_794,c_32348,c_35134]) ).
tff(c_35320,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_32362,c_35078,c_796,c_35057,c_35135]) ).
tff(c_35321,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32389,c_35320]) ).
tff(c_35322,plain,
( ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_35050]) ).
tff(c_35324,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_35322]) ).
tff(c_35344,plain,
sum('#skF_2',n8) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_35324,c_582]) ).
tff(c_35325,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_35324,c_32340]) ).
tff(c_32365,plain,
sum('#skF_1',n7) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_32324,c_680]) ).
tff(c_35374,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_35324,c_842]) ).
tff(c_35406,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_35374,c_274]) ).
tff(c_35407,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_802,c_32365,c_35406]) ).
tff(c_35592,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_474,c_35344,c_804,c_35325,c_35407]) ).
tff(c_35593,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258,c_35592]) ).
tff(c_35594,plain,
( ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_35322]) ).
tff(c_35596,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_35594]) ).
tff(c_480,plain,
sum(n9,n11) = n4,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_35617,plain,
sum('#skF_2',n11) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_35596,c_480]) ).
tff(c_676,plain,
sum(n3,n9) = n12,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_32331,plain,
sum('#skF_1',n9) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_32324,c_676]) ).
tff(c_35597,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_35596,c_32331]) ).
tff(c_35643,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_35596,c_836]) ).
tff(c_35666,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_35643,c_274]) ).
tff(c_35667,plain,
sum(n12,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_796,c_32366,c_35666]) ).
tff(c_35864,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_398,c_35617,c_798,c_35597,c_35667]) ).
tff(c_35865,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_272,c_35864]) ).
tff(c_35866,plain,
( ( n8 = '#skF_2' )
| ( n7 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_35594]) ).
tff(c_35868,plain,
n7 = '#skF_2',
inference(splitLeft,[status(thm)],[c_35866]) ).
tff(c_548,plain,
sum(n7,n9) = n0,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_35891,plain,
sum('#skF_2',n9) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_35868,c_548]) ).
tff(c_35873,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_35868,c_32365]) ).
tff(c_32342,plain,
sum('#skF_1',n8) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_32324,c_678]) ).
tff(c_35918,plain,
succ('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_35868,c_840]) ).
tff(c_35942,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_35918,c_274]) ).
tff(c_35943,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_800,c_32342,c_35942]) ).
tff(c_36136,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_470,c_35891,c_802,c_35873,c_35943]) ).
tff(c_36137,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252,c_36136]) ).
tff(c_36138,plain,
n8 = '#skF_2',
inference(splitRight,[status(thm)],[c_35866]) ).
tff(c_514,plain,
sum(n8,n10) = n2,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_36161,plain,
sum('#skF_2',n10) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_36138,c_514]) ).
tff(c_36140,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_36138,c_32342]) ).
tff(c_36187,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_36138,c_838]) ).
tff(c_36213,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_36187,c_274]) ).
tff(c_36214,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_798,c_32331,c_36213]) ).
tff(c_36407,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_434,c_36161,c_800,c_36140,c_36214]) ).
tff(c_36408,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_246,c_36407]) ).
tff(c_36409,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_29326]) ).
tff(c_39130,plain,
n12 = '#skF_1',
inference(splitLeft,[status(thm)],[c_36409]) ).
tff(c_39191,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_39130,c_248]) ).
tff(c_39142,plain,
sum(n3,n9) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_39130,c_676]) ).
tff(c_604,plain,
sum(n5,n13) = n2,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_568,plain,
sum(n6,n15) = n5,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_528,plain,
sum(n8,n3) = n11,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_39132,plain,
sum('#skF_1',n7) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_39130,c_392]) ).
tff(c_39154,plain,
sum('#skF_1',n13) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_39130,c_380]) ).
tff(c_39176,plain,
succ('#skF_1') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_39130,c_830]) ).
tff(c_39153,plain,
sum('#skF_1','#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_39130,c_39130,c_382]) ).
tff(c_36411,plain,
n15 = '#skF_2',
inference(splitLeft,[status(thm)],[c_32322]) ).
tff(c_36455,plain,
sum('#skF_2',n6) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_36411,c_298]) ).
tff(c_36434,plain,
sum('#skF_2',n5) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_36411,c_300]) ).
tff(c_36438,plain,
sum('#skF_2',n7) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_36411,c_296]) ).
tff(c_36452,plain,
sum('#skF_2',n4) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_36411,c_302]) ).
tff(c_36418,plain,
sum('#skF_2',n8) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_36411,c_294]) ).
tff(c_36437,plain,
sum('#skF_2',n3) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_36411,c_304]) ).
tff(c_36439,plain,
sum('#skF_2',n9) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_36411,c_292]) ).
tff(c_36451,plain,
sum('#skF_2',n10) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_36411,c_290]) ).
tff(c_36683,plain,
n12 = '#skF_1',
inference(splitLeft,[status(thm)],[c_36409]) ).
tff(c_376,plain,
sum(n12,n15) = n11,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_36444,plain,
sum(n12,'#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_36411,c_376]) ).
tff(c_36687,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_36683,c_36444]) ).
tff(c_36732,plain,
pred('#skF_1') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_36683,c_798]) ).
tff(c_36697,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_36683,c_36683,c_406]) ).
tff(c_36460,plain,
succ('#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_36411,c_824]) ).
tff(c_36490,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_36460,c_274]) ).
tff(c_36897,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_36697,c_36490]) ).
tff(c_36898,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_36732,c_36897]) ).
tff(c_36951,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_420,c_36451,c_800,c_36687,c_36898]) ).
tff(c_36952,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_264,c_36951]) ).
tff(c_36953,plain,
( ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_36409]) ).
tff(c_36955,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_36953]) ).
tff(c_37020,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_36955,c_264]) ).
tff(c_36989,plain,
sum(n3,n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_36955,c_692]) ).
tff(c_36441,plain,
sum('#skF_2',n2) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_36411,c_306]) ).
tff(c_632,plain,
sum(n4,n15) = n3,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_36428,plain,
sum(n4,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_36411,c_632]) ).
tff(c_36957,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_36955,c_36428]) ).
tff(c_37003,plain,
pred('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_36955,c_814]) ).
tff(c_36967,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_36955,c_36955,c_662]) ).
tff(c_37169,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_36967,c_36490]) ).
tff(c_37170,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_37003,c_37169]) ).
tff(c_37223,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_36989,c_36441,c_816,c_36957,c_37170]) ).
tff(c_37224,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37020,c_37223]) ).
tff(c_37225,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_36953]) ).
tff(c_37227,plain,
n11 = '#skF_1',
inference(splitLeft,[status(thm)],[c_37225]) ).
tff(c_408,plain,
sum(n11,n15) = n10,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_36417,plain,
sum(n11,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_36411,c_408]) ).
tff(c_37228,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_37227,c_36417]) ).
tff(c_37276,plain,
pred('#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_37227,c_800]) ).
tff(c_37265,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_37227,c_37227,c_438]) ).
tff(c_37385,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_37265,c_36490]) ).
tff(c_37386,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_37276,c_37385]) ).
tff(c_37495,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_454,c_36439,c_802,c_37228,c_37386]) ).
tff(c_37496,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_268,c_37495]) ).
tff(c_37497,plain,
( ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_37225]) ).
tff(c_37499,plain,
n5 = '#skF_1',
inference(splitLeft,[status(thm)],[c_37497]) ).
tff(c_600,plain,
sum(n5,n15) = n4,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_36430,plain,
sum(n5,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_36411,c_600]) ).
tff(c_37502,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_37499,c_36430]) ).
tff(c_37547,plain,
pred('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_37499,c_812]) ).
tff(c_37515,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_37499,c_37499,c_630]) ).
tff(c_37673,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_37515,c_36490]) ).
tff(c_37674,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_37547,c_37673]) ).
tff(c_37767,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_658,c_36437,c_814,c_37502,c_37674]) ).
tff(c_37768,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_260,c_37767]) ).
tff(c_37769,plain,
( ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_37497]) ).
tff(c_37771,plain,
n10 = '#skF_1',
inference(splitLeft,[status(thm)],[c_37769]) ).
tff(c_36450,plain,
sum(n10,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_36411,c_440]) ).
tff(c_37772,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_37771,c_36450]) ).
tff(c_37820,plain,
pred('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_37771,c_802]) ).
tff(c_37804,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_37771,c_37771,c_470]) ).
tff(c_37913,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_37804,c_36490]) ).
tff(c_37914,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_37820,c_37913]) ).
tff(c_38039,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_488,c_36418,c_804,c_37772,c_37914]) ).
tff(c_38040,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_272,c_38039]) ).
tff(c_38041,plain,
( ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_37769]) ).
tff(c_38043,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_38041]) ).
tff(c_36446,plain,
sum(n6,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_36411,c_568]) ).
tff(c_38046,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_38043,c_36446]) ).
tff(c_38091,plain,
pred('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_38043,c_810]) ).
tff(c_38061,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_38043,c_38043,c_598]) ).
tff(c_38205,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_38061,c_36490]) ).
tff(c_38206,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_38091,c_38205]) ).
tff(c_38311,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_624,c_36452,c_812,c_38046,c_38206]) ).
tff(c_38312,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_256,c_38311]) ).
tff(c_38313,plain,
( ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_38041]) ).
tff(c_38315,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_38313]) ).
tff(c_36456,plain,
sum(n9,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_36411,c_472]) ).
tff(c_38321,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_38315,c_36456]) ).
tff(c_38365,plain,
pred('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_38315,c_804]) ).
tff(c_38336,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_38315,c_38315,c_502]) ).
tff(c_38513,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_38336,c_36490]) ).
tff(c_38514,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_38365,c_38513]) ).
tff(c_38583,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_522,c_36438,c_806,c_38321,c_38514]) ).
tff(c_38584,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_244,c_38583]) ).
tff(c_38585,plain,
( ( n8 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_38313]) ).
tff(c_38587,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_38585]) ).
tff(c_36440,plain,
sum(n7,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_36411,c_536]) ).
tff(c_38588,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_38587,c_36440]) ).
tff(c_38634,plain,
pred('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_38587,c_808]) ).
tff(c_38622,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_38587,c_38587,c_566]) ).
tff(c_38717,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_38622,c_36490]) ).
tff(c_38718,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_38634,c_38717]) ).
tff(c_38855,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_590,c_36434,c_810,c_38588,c_38718]) ).
tff(c_38856,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252,c_38855]) ).
tff(c_38857,plain,
n8 = '#skF_1',
inference(splitRight,[status(thm)],[c_38585]) ).
tff(c_36427,plain,
sum(n8,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_36411,c_504]) ).
tff(c_38864,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_38857,c_36427]) ).
tff(c_38905,plain,
pred('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_38857,c_806]) ).
tff(c_38882,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_38857,c_38857,c_534]) ).
tff(c_39060,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_38882,c_36490]) ).
tff(c_39061,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_38905,c_39060]) ).
tff(c_39126,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_556,c_36455,c_808,c_38864,c_39061]) ).
tff(c_39127,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_248,c_39126]) ).
tff(c_39128,plain,
( ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' )
| ( n1 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_32322]) ).
tff(c_39396,plain,
( ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' )
| ( n1 = '#skF_2' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39130,c_39128]) ).
tff(c_39397,plain,
n1 = '#skF_2',
inference(splitLeft,[status(thm)],[c_39396]) ).
tff(c_39163,plain,
sum(n1,'#skF_1') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_39130,c_734]) ).
tff(c_39401,plain,
sum('#skF_2','#skF_1') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_39397,c_39163]) ).
tff(c_39179,plain,
pred(n13) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_39130,c_796]) ).
tff(c_39138,plain,
sum('#skF_1',n1) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_39130,c_404]) ).
tff(c_39402,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_39397,c_39138]) ).
tff(c_39143,plain,
sum('#skF_1',n2) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_39130,c_402]) ).
tff(c_39447,plain,
succ('#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_39397,c_852]) ).
tff(c_39471,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_39447,c_274]) ).
tff(c_39472,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_794,c_39143,c_39471]) ).
tff(c_39665,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_348,c_39401,c_39179,c_39402,c_39472]) ).
tff(c_39666,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252,c_39665]) ).
tff(c_39667,plain,
( ( n2 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_39396]) ).
tff(c_39669,plain,
n14 = '#skF_2',
inference(splitLeft,[status(thm)],[c_39667]) ).
tff(c_39692,plain,
sum('#skF_2',n9) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_39669,c_324]) ).
tff(c_39169,plain,
sum('#skF_1',n14) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_39130,c_378]) ).
tff(c_39673,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_39669,c_39169]) ).
tff(c_39170,plain,
sum('#skF_1',n15) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_39130,c_376]) ).
tff(c_39718,plain,
succ('#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_39669,c_826]) ).
tff(c_39743,plain,
sum(pred(sum('#skF_1',n15)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_39718,c_274]) ).
tff(c_39744,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_800,c_39170,c_39743]) ).
tff(c_39937,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_456,c_39692,c_802,c_39673,c_39744]) ).
tff(c_39938,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_270,c_39937]) ).
tff(c_39939,plain,
( ( n13 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_39667]) ).
tff(c_39941,plain,
n2 = '#skF_2',
inference(splitLeft,[status(thm)],[c_39939]) ).
tff(c_39951,plain,
sum('#skF_2',n13) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_39941,c_700]) ).
tff(c_39947,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_39941,c_39143]) ).
tff(c_39139,plain,
sum('#skF_1',n3) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_39130,c_400]) ).
tff(c_39989,plain,
succ('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_39941,c_850]) ).
tff(c_40019,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_39989,c_274]) ).
tff(c_40020,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_792,c_39139,c_40019]) ).
tff(c_40209,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_312,c_39951,c_794,c_39947,c_40020]) ).
tff(c_40210,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_246,c_40209]) ).
tff(c_40211,plain,
( ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n13 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_39939]) ).
tff(c_40213,plain,
n13 = '#skF_2',
inference(splitLeft,[status(thm)],[c_40211]) ).
tff(c_40248,plain,
sum('#skF_2',n8) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_40213,c_358]) ).
tff(c_40214,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_40213,c_39154]) ).
tff(c_40262,plain,
succ('#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_40213,c_828]) ).
tff(c_40287,plain,
sum(pred(sum('#skF_1',n14)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_40262,c_274]) ).
tff(c_40288,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_802,c_39169,c_40287]) ).
tff(c_40481,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_492,c_40248,c_804,c_40214,c_40288]) ).
tff(c_40482,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_244,c_40481]) ).
tff(c_40483,plain,
( ( '#skF_2' = '#skF_1' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_40211]) ).
tff(c_40485,plain,
n3 = '#skF_2',
inference(splitLeft,[status(thm)],[c_40483]) ).
tff(c_40529,plain,
sum('#skF_2',n14) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_40485,c_666]) ).
tff(c_40489,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_40485,c_39139]) ).
tff(c_39140,plain,
sum('#skF_1',n4) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_39130,c_398]) ).
tff(c_40535,plain,
succ('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_40485,c_848]) ).
tff(c_40563,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_40535,c_274]) ).
tff(c_40564,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_822,c_39140,c_40563]) ).
tff(c_40753,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_308,c_40529,c_792,c_40489,c_40564]) ).
tff(c_40754,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_272,c_40753]) ).
tff(c_40755,plain,
( ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_40483]) ).
tff(c_40757,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_40755]) ).
tff(c_40765,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_40757,c_40757,c_40757,c_274]) ).
tff(c_40766,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_528,c_804,c_39132,c_806,c_39154,c_39176,c_39153,c_40765]) ).
tff(c_40768,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_250,c_40766]) ).
tff(c_40769,plain,
( ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_40755]) ).
tff(c_40771,plain,
n4 = '#skF_2',
inference(splitLeft,[status(thm)],[c_40769]) ).
tff(c_40794,plain,
sum('#skF_2',n15) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_40771,c_632]) ).
tff(c_40773,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_40771,c_39140]) ).
tff(c_39135,plain,
sum('#skF_1',n5) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_39130,c_396]) ).
tff(c_40820,plain,
succ('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_40771,c_846]) ).
tff(c_40849,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_40820,c_274]) ).
tff(c_40850,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_820,c_39135,c_40849]) ).
tff(c_41039,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_784,c_40794,c_822,c_40773,c_40850]) ).
tff(c_41040,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_266,c_41039]) ).
tff(c_41041,plain,
( ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_40769]) ).
tff(c_41043,plain,
n11 = '#skF_2',
inference(splitLeft,[status(thm)],[c_41041]) ).
tff(c_41070,plain,
sum('#skF_2',n6) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_41043,c_426]) ).
tff(c_39152,plain,
sum('#skF_1',n11) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_39130,c_384]) ).
tff(c_41048,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_41043,c_39152]) ).
tff(c_39177,plain,
succ(n11) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_39130,c_832]) ).
tff(c_41050,plain,
succ('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_41043,c_39177]) ).
tff(c_41125,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_41050,c_274]) ).
tff(c_41126,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_806,c_39153,c_41125]) ).
tff(c_41311,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_564,c_41070,c_808,c_41048,c_41126]) ).
tff(c_41312,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_256,c_41311]) ).
tff(c_41313,plain,
( ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_41041]) ).
tff(c_41315,plain,
n5 = '#skF_2',
inference(splitLeft,[status(thm)],[c_41313]) ).
tff(c_41338,plain,
sum(n1,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_41315,c_748]) ).
tff(c_41329,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_41315,c_41315,c_630]) ).
tff(c_41321,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_41315,c_39135]) ).
tff(c_39136,plain,
sum('#skF_1',n6) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_39130,c_394]) ).
tff(c_41362,plain,
succ('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_41315,c_844]) ).
tff(c_41385,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_41362,c_274]) ).
tff(c_41386,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_818,c_39136,c_41385]) ).
tff(c_41583,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_41338,c_41329,c_820,c_41321,c_41386]) ).
tff(c_41584,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_260,c_41583]) ).
tff(c_41585,plain,
( ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_41313]) ).
tff(c_41587,plain,
n10 = '#skF_2',
inference(splitLeft,[status(thm)],[c_41585]) ).
tff(c_41632,plain,
sum('#skF_2',n5) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_41587,c_460]) ).
tff(c_39150,plain,
sum('#skF_1',n10) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_39130,c_386]) ).
tff(c_41590,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_41587,c_39150]) ).
tff(c_41635,plain,
succ('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_41587,c_834]) ).
tff(c_41669,plain,
sum(pred(sum('#skF_1',n11)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_41635,c_274]) ).
tff(c_41670,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_808,c_39152,c_41669]) ).
tff(c_41855,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_568,c_41632,c_810,c_41590,c_41670]) ).
tff(c_41856,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_262,c_41855]) ).
tff(c_41857,plain,
( ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_41585]) ).
tff(c_41859,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_41857]) ).
tff(c_41889,plain,
sum('#skF_2',n1) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_41859,c_596]) ).
tff(c_41860,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_41859,c_39136]) ).
tff(c_41909,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_41859,c_842]) ).
tff(c_41933,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_41909,c_274]) ).
tff(c_41934,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_816,c_39132,c_41933]) ).
tff(c_42127,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_712,c_41889,c_818,c_41860,c_41934]) ).
tff(c_42128,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_254,c_42127]) ).
tff(c_42129,plain,
( ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_41857]) ).
tff(c_42131,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_42129]) ).
tff(c_42153,plain,
sum('#skF_2',n4) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_42131,c_494]) ).
tff(c_39149,plain,
sum('#skF_1',n9) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_39130,c_388]) ).
tff(c_42134,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_42131,c_39149]) ).
tff(c_42178,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_42131,c_836]) ).
tff(c_42205,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_42178,c_274]) ).
tff(c_42206,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_810,c_39150,c_42205]) ).
tff(c_42399,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_604,c_42153,c_812,c_42134,c_42206]) ).
tff(c_42400,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_268,c_42399]) ).
tff(c_42401,plain,
( ( n8 = '#skF_2' )
| ( n7 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_42129]) ).
tff(c_42403,plain,
n7 = '#skF_2',
inference(splitLeft,[status(thm)],[c_42401]) ).
tff(c_562,plain,
sum(n7,n2) = n9,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_42436,plain,
sum('#skF_2',n2) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_42403,c_562]) ).
tff(c_42406,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_42403,c_39132]) ).
tff(c_39131,plain,
sum('#skF_1',n8) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_39130,c_390]) ).
tff(c_42453,plain,
succ('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_42403,c_840]) ).
tff(c_42481,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_42453,c_274]) ).
tff(c_42482,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_814,c_39131,c_42481]) ).
tff(c_42671,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_39142,c_42436,c_816,c_42406,c_42482]) ).
tff(c_42672,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39191,c_42671]) ).
tff(c_42673,plain,
n8 = '#skF_2',
inference(splitRight,[status(thm)],[c_42401]) ).
tff(c_42707,plain,
sum('#skF_2',n3) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_42673,c_528]) ).
tff(c_42676,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_42673,c_39131]) ).
tff(c_42722,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_42673,c_838]) ).
tff(c_42744,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_42722,c_274]) ).
tff(c_42745,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_812,c_39149,c_42744]) ).
tff(c_42942,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_640,c_42707,c_814,c_42676,c_42745]) ).
tff(c_42943,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_242,c_42942]) ).
tff(c_42944,plain,
( ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_36409]) ).
tff(c_45393,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_42944]) ).
tff(c_45418,plain,
sum('#skF_1',n7) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_45393,c_648]) ).
tff(c_45414,plain,
sum('#skF_1',n5) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_45393,c_652]) ).
tff(c_45441,plain,
succ('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_45393,c_846]) ).
tff(c_45422,plain,
sum('#skF_1','#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_45393,c_45393,c_654]) ).
tff(c_43218,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_42944]) ).
tff(c_42946,plain,
n1 = '#skF_2',
inference(splitLeft,[status(thm)],[c_39128]) ).
tff(c_42967,plain,
sum('#skF_2',n4) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_42946,c_750]) ).
tff(c_43224,plain,
sum('#skF_2','#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_43218,c_42967]) ).
tff(c_43265,plain,
pred(n5) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_43218,c_812]) ).
tff(c_42970,plain,
sum(n4,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_42946,c_660]) ).
tff(c_43222,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_43218,c_42970]) ).
tff(c_43260,plain,
sum('#skF_1',n2) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_43218,c_658]) ).
tff(c_42996,plain,
succ('#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_42946,c_852]) ).
tff(c_43025,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_42996,c_274]) ).
tff(c_43372,plain,
sum(pred(n6),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_43260,c_43025]) ).
tff(c_43373,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_810,c_43372]) ).
tff(c_43486,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_620,c_43224,c_43265,c_43222,c_43373]) ).
tff(c_43487,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252,c_43486]) ).
tff(c_43488,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_42944]) ).
tff(c_43490,plain,
n11 = '#skF_1',
inference(splitLeft,[status(thm)],[c_43488]) ).
tff(c_42956,plain,
sum('#skF_2',n11) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_42946,c_736]) ).
tff(c_43494,plain,
sum('#skF_2','#skF_1') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_43490,c_42956]) ).
tff(c_43540,plain,
pred(n12) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_43490,c_798]) ).
tff(c_42949,plain,
sum(n11,'#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_42946,c_436]) ).
tff(c_43493,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_43490,c_42949]) ).
tff(c_43523,plain,
sum('#skF_1',n2) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_43490,c_434]) ).
tff(c_43640,plain,
sum(pred(n13),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_43523,c_43025]) ).
tff(c_43641,plain,
sum(n12,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_796,c_43640]) ).
tff(c_43758,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_382,c_43494,c_43540,c_43493,c_43641]) ).
tff(c_43759,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_256,c_43758]) ).
tff(c_43760,plain,
( ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_43488]) ).
tff(c_43762,plain,
n5 = '#skF_1',
inference(splitLeft,[status(thm)],[c_43760]) ).
tff(c_42965,plain,
sum('#skF_2',n5) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_42946,c_748]) ).
tff(c_43765,plain,
sum('#skF_2','#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_43762,c_42965]) ).
tff(c_43811,plain,
pred(n6) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_43762,c_810]) ).
tff(c_42992,plain,
sum(n5,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_42946,c_628]) ).
tff(c_43768,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_43762,c_42992]) ).
tff(c_43787,plain,
sum('#skF_1',n2) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_43762,c_626]) ).
tff(c_43848,plain,
sum(pred(n7),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_43787,c_43025]) ).
tff(c_43849,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_808,c_43848]) ).
tff(c_44030,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_586,c_43765,c_43811,c_43768,c_43849]) ).
tff(c_44031,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_248,c_44030]) ).
tff(c_44032,plain,
( ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_43760]) ).
tff(c_44034,plain,
n10 = '#skF_1',
inference(splitLeft,[status(thm)],[c_44032]) ).
tff(c_42962,plain,
sum('#skF_2',n10) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_42946,c_738]) ).
tff(c_44039,plain,
sum('#skF_2','#skF_1') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_44034,c_42962]) ).
tff(c_44084,plain,
pred(n11) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_44034,c_800]) ).
tff(c_42961,plain,
sum(n10,'#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_42946,c_468]) ).
tff(c_44040,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_44034,c_42961]) ).
tff(c_44042,plain,
sum('#skF_1',n2) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_44034,c_466]) ).
tff(c_44136,plain,
sum(pred(n12),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_44042,c_43025]) ).
tff(c_44137,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_798,c_44136]) ).
tff(c_44302,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_416,c_44039,c_44084,c_44040,c_44137]) ).
tff(c_44303,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_260,c_44302]) ).
tff(c_44304,plain,
( ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_44032]) ).
tff(c_44306,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_44304]) ).
tff(c_42951,plain,
sum('#skF_2',n6) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_42946,c_746]) ).
tff(c_44311,plain,
sum('#skF_2','#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_44306,c_42951]) ).
tff(c_44355,plain,
pred(n7) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_44306,c_808]) ).
tff(c_42975,plain,
sum(n6,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_42946,c_596]) ).
tff(c_44312,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_44306,c_42975]) ).
tff(c_44351,plain,
sum('#skF_1',n2) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_44306,c_594]) ).
tff(c_44408,plain,
sum(pred(n8),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_44351,c_43025]) ).
tff(c_44409,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_806,c_44408]) ).
tff(c_44574,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_552,c_44311,c_44355,c_44312,c_44409]) ).
tff(c_44575,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_244,c_44574]) ).
tff(c_44576,plain,
( ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_44304]) ).
tff(c_44578,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_44576]) ).
tff(c_42976,plain,
sum('#skF_2',n9) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_42946,c_740]) ).
tff(c_44580,plain,
sum('#skF_2','#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_44578,c_42976]) ).
tff(c_44626,plain,
pred(n10) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_44578,c_802]) ).
tff(c_42986,plain,
sum(n9,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_42946,c_500]) ).
tff(c_44583,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_44578,c_42986]) ).
tff(c_44623,plain,
sum('#skF_1',n2) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_44578,c_498]) ).
tff(c_44680,plain,
sum(pred(n11),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_44623,c_43025]) ).
tff(c_44681,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_800,c_44680]) ).
tff(c_44846,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_450,c_44580,c_44626,c_44583,c_44681]) ).
tff(c_44847,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_264,c_44846]) ).
tff(c_44848,plain,
( ( n8 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_44576]) ).
tff(c_44850,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_44848]) ).
tff(c_42959,plain,
sum('#skF_2',n7) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_42946,c_744]) ).
tff(c_44856,plain,
sum('#skF_2','#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_44850,c_42959]) ).
tff(c_44898,plain,
pred(n8) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_44850,c_806]) ).
tff(c_42990,plain,
sum(n7,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_42946,c_564]) ).
tff(c_44853,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_44850,c_42990]) ).
tff(c_44883,plain,
sum('#skF_1',n2) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_44850,c_562]) ).
tff(c_45012,plain,
sum(pred(n9),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_44883,c_43025]) ).
tff(c_45013,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_804,c_45012]) ).
tff(c_45118,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_518,c_44856,c_44898,c_44853,c_45013]) ).
tff(c_45119,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_272,c_45118]) ).
tff(c_45120,plain,
n8 = '#skF_1',
inference(splitRight,[status(thm)],[c_44848]) ).
tff(c_45130,plain,
sum('#skF_1',n2) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_45120,c_530]) ).
tff(c_42953,plain,
sum('#skF_2',n8) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_42946,c_742]) ).
tff(c_45122,plain,
sum('#skF_2','#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_45120,c_42953]) ).
tff(c_45170,plain,
pred(n9) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_45120,c_804]) ).
tff(c_42960,plain,
sum(n8,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_42946,c_532]) ).
tff(c_45123,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_45120,c_42960]) ).
tff(c_45235,plain,
sum(pred(sum('#skF_1',n2)),sum('#skF_2',pred(n9))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_45123,c_43025]) ).
tff(c_45236,plain,
sum(pred(sum('#skF_1',n2)),sum('#skF_2','#skF_1')) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_45170,c_45235]) ).
tff(c_45389,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_484,c_802,c_45130,c_45122,c_45236]) ).
tff(c_45390,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_268,c_45389]) ).
tff(c_45391,plain,
( ( n2 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_39128]) ).
tff(c_45659,plain,
( ( n2 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45393,c_45391]) ).
tff(c_45660,plain,
n14 = '#skF_2',
inference(splitLeft,[status(thm)],[c_45659]) ).
tff(c_45700,plain,
sum('#skF_2',n1) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_45660,c_340]) ).
tff(c_634,plain,
sum(n4,n14) = n2,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_45399,plain,
sum('#skF_1',n14) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_45393,c_634]) ).
tff(c_45662,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_45660,c_45399]) ).
tff(c_45412,plain,
sum('#skF_1',n15) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_45393,c_632]) ).
tff(c_45709,plain,
succ('#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_45660,c_826]) ).
tff(c_45738,plain,
sum(pred(sum('#skF_1',n15)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_45709,c_274]) ).
tff(c_45739,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_816,c_45412,c_45738]) ).
tff(c_45928,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_696,c_45700,c_818,c_45662,c_45739]) ).
tff(c_45929,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_270,c_45928]) ).
tff(c_45930,plain,
( ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_45659]) ).
tff(c_45932,plain,
n2 = '#skF_2',
inference(splitLeft,[status(thm)],[c_45930]) ).
tff(c_45945,plain,
sum('#skF_2',n5) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_45932,c_716]) ).
tff(c_45434,plain,
sum('#skF_1',n2) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_45393,c_658]) ).
tff(c_45937,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_45932,c_45434]) ).
tff(c_45419,plain,
sum('#skF_1',n3) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_45393,c_656]) ).
tff(c_45980,plain,
succ('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_45932,c_850]) ).
tff(c_46006,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_45980,c_274]) ).
tff(c_46007,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_808,c_45419,c_46006]) ).
tff(c_46200,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_584,c_45945,c_810,c_45937,c_46007]) ).
tff(c_46201,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_246,c_46200]) ).
tff(c_46202,plain,
( ( n3 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_45930]) ).
tff(c_46204,plain,
n13 = '#skF_2',
inference(splitLeft,[status(thm)],[c_46202]) ).
tff(c_46246,plain,
sum(n1,'#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_46204,c_732]) ).
tff(c_46230,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_46204,c_46204,c_374]) ).
tff(c_45404,plain,
sum('#skF_1',n13) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_45393,c_636]) ).
tff(c_46205,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_46204,c_45404]) ).
tff(c_46252,plain,
succ('#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_46204,c_828]) ).
tff(c_46278,plain,
sum(pred(sum('#skF_1',n14)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_46252,c_274]) ).
tff(c_46279,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_818,c_45399,c_46278]) ).
tff(c_46472,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_46246,c_46230,c_820,c_46205,c_46279]) ).
tff(c_46473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_244,c_46472]) ).
tff(c_46474,plain,
( ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n3 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_46202]) ).
tff(c_46476,plain,
n3 = '#skF_2',
inference(splitLeft,[status(thm)],[c_46474]) ).
tff(c_46498,plain,
sum('#skF_2',n6) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_46476,c_682]) ).
tff(c_46480,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_46476,c_45419]) ).
tff(c_45442,plain,
succ(n3) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_45393,c_848]) ).
tff(c_46484,plain,
succ('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_46476,c_45442]) ).
tff(c_46558,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_46484,c_274]) ).
tff(c_46559,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_806,c_45422,c_46558]) ).
tff(c_46744,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_548,c_46498,c_808,c_46480,c_46559]) ).
tff(c_46745,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_272,c_46744]) ).
tff(c_46746,plain,
( ( '#skF_2' = '#skF_1' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_46474]) ).
tff(c_46748,plain,
n12 = '#skF_2',
inference(splitLeft,[status(thm)],[c_46746]) ).
tff(c_46790,plain,
sum('#skF_2',n15) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_46748,c_376]) ).
tff(c_45405,plain,
sum('#skF_1',n12) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_45393,c_638]) ).
tff(c_46752,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_46748,c_45405]) ).
tff(c_46795,plain,
succ('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_46748,c_830]) ).
tff(c_46818,plain,
sum(pred(sum('#skF_1',n13)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_46795,c_274]) ).
tff(c_46819,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_820,c_45404,c_46818]) ).
tff(c_47016,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_768,c_46790,c_822,c_46752,c_46819]) ).
tff(c_47017,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_250,c_47016]) ).
tff(c_47018,plain,
( ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_46746]) ).
tff(c_47020,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_47018]) ).
tff(c_47029,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_47020,c_47020,c_47020,c_274]) ).
tff(c_47030,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_512,c_804,c_45418,c_806,c_45414,c_45441,c_45422,c_47029]) ).
tff(c_47032,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_266,c_47030]) ).
tff(c_47033,plain,
( ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_47018]) ).
tff(c_47035,plain,
n11 = '#skF_2',
inference(splitLeft,[status(thm)],[c_47033]) ).
tff(c_410,plain,
sum(n11,n14) = n9,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_47050,plain,
sum('#skF_2',n14) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_47035,c_410]) ).
tff(c_45407,plain,
sum('#skF_1',n11) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_45393,c_640]) ).
tff(c_47040,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_47035,c_45407]) ).
tff(c_47083,plain,
succ('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_47035,c_832]) ).
tff(c_47117,plain,
sum(pred(sum('#skF_1',n12)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_47083,c_274]) ).
tff(c_47118,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_822,c_45405,c_47117]) ).
tff(c_47303,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_292,c_47050,c_792,c_47040,c_47118]) ).
tff(c_47304,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_256,c_47303]) ).
tff(c_47305,plain,
( ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_47033]) ).
tff(c_47307,plain,
n5 = '#skF_2',
inference(splitLeft,[status(thm)],[c_47305]) ).
tff(c_47328,plain,
sum('#skF_2',n8) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_47307,c_614]) ).
tff(c_47310,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_47307,c_45414]) ).
tff(c_45423,plain,
sum('#skF_1',n6) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_45393,c_650]) ).
tff(c_47356,plain,
succ('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_47307,c_844]) ).
tff(c_47377,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_47356,c_274]) ).
tff(c_47378,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_802,c_45423,c_47377]) ).
tff(c_47575,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_476,c_47328,c_804,c_47310,c_47378]) ).
tff(c_47576,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_260,c_47575]) ).
tff(c_47577,plain,
( ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_47305]) ).
tff(c_47579,plain,
n10 = '#skF_2',
inference(splitLeft,[status(thm)],[c_47577]) ).
tff(c_444,plain,
sum(n10,n13) = n7,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_47625,plain,
sum('#skF_2',n13) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_47579,c_444]) ).
tff(c_45402,plain,
sum('#skF_1',n10) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_45393,c_642]) ).
tff(c_47580,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_47579,c_45402]) ).
tff(c_47627,plain,
succ('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_47579,c_834]) ).
tff(c_47657,plain,
sum(pred(sum('#skF_1',n11)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_47627,c_274]) ).
tff(c_47658,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_792,c_45407,c_47657]) ).
tff(c_47847,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_328,c_47625,c_794,c_47580,c_47658]) ).
tff(c_47848,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_262,c_47847]) ).
tff(c_47849,plain,
( ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_47577]) ).
tff(c_47851,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_47849]) ).
tff(c_47890,plain,
sum('#skF_2',n9) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_47851,c_580]) ).
tff(c_47853,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_47851,c_45423]) ).
tff(c_47901,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_47851,c_842]) ).
tff(c_47925,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_47901,c_274]) ).
tff(c_47926,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_800,c_45418,c_47925]) ).
tff(c_48119,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_440,c_47890,c_802,c_47853,c_47926]) ).
tff(c_48120,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_254,c_48119]) ).
tff(c_48121,plain,
( ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_47849]) ).
tff(c_48123,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_48121]) ).
tff(c_478,plain,
sum(n9,n12) = n5,
inference(cnfTransformation,[status(thm)],[f_1076]) ).
tff(c_48155,plain,
sum('#skF_2',n12) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_48123,c_478]) ).
tff(c_45428,plain,
sum('#skF_1',n9) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_45393,c_644]) ).
tff(c_48127,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_48123,c_45428]) ).
tff(c_48170,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_48123,c_836]) ).
tff(c_48193,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_48170,c_274]) ).
tff(c_48194,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_794,c_45402,c_48193]) ).
tff(c_48391,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_364,c_48155,c_796,c_48127,c_48194]) ).
tff(c_48392,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_268,c_48391]) ).
tff(c_48393,plain,
( ( n8 = '#skF_2' )
| ( n7 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_48121]) ).
tff(c_48395,plain,
n7 = '#skF_2',
inference(splitLeft,[status(thm)],[c_48393]) ).
tff(c_48418,plain,
sum('#skF_2',n10) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_48395,c_546]) ).
tff(c_48398,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_48395,c_45418]) ).
tff(c_45426,plain,
sum('#skF_1',n8) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_45393,c_646]) ).
tff(c_48445,plain,
succ('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_48395,c_840]) ).
tff(c_48477,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_48445,c_274]) ).
tff(c_48478,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_798,c_45426,c_48477]) ).
tff(c_48663,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_436,c_48418,c_800,c_48398,c_48478]) ).
tff(c_48664,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_248,c_48663]) ).
tff(c_48665,plain,
n8 = '#skF_2',
inference(splitRight,[status(thm)],[c_48393]) ).
tff(c_48703,plain,
sum('#skF_2',n11) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_48665,c_512]) ).
tff(c_48671,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_48665,c_45426]) ).
tff(c_48714,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_48665,c_838]) ).
tff(c_48736,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_48714,c_274]) ).
tff(c_48737,plain,
sum(n12,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_796,c_45428,c_48736]) ).
tff(c_48934,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_400,c_48703,c_798,c_48671,c_48737]) ).
tff(c_48935,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_242,c_48934]) ).
tff(c_48936,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_42944]) ).
tff(c_48938,plain,
n11 = '#skF_1',
inference(splitLeft,[status(thm)],[c_48936]) ).
tff(c_48960,plain,
sum('#skF_1',n5) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_48938,c_428]) ).
tff(c_48954,plain,
sum('#skF_1',n12) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_48938,c_414]) ).
tff(c_48985,plain,
succ('#skF_1') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_48938,c_832]) ).
tff(c_48941,plain,
sum('#skF_1','#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_48938,c_48938,c_416]) ).
tff(c_48999,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_48938,c_250]) ).
tff(c_48979,plain,
sum(n13,n14) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_48938,c_346]) ).
tff(c_49204,plain,
( ( n2 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48938,c_45391]) ).
tff(c_49205,plain,
n14 = '#skF_2',
inference(splitLeft,[status(thm)],[c_49204]) ).
tff(c_49234,plain,
sum('#skF_2',n8) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_49205,c_326]) ).
tff(c_48948,plain,
sum('#skF_1',n14) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_48938,c_410]) ).
tff(c_49206,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_49205,c_48948]) ).
tff(c_48949,plain,
sum('#skF_1',n15) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_48938,c_408]) ).
tff(c_49254,plain,
succ('#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_49205,c_826]) ).
tff(c_49283,plain,
sum(pred(sum('#skF_1',n15)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_49254,c_274]) ).
tff(c_49284,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_802,c_48949,c_49283]) ).
tff(c_49473,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_490,c_49234,c_804,c_49206,c_49284]) ).
tff(c_49474,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_242,c_49473]) ).
tff(c_49475,plain,
( ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_49204]) ).
tff(c_49477,plain,
n2 = '#skF_2',
inference(splitLeft,[status(thm)],[c_49475]) ).
tff(c_49505,plain,
sum('#skF_2',n12) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_49477,c_702]) ).
tff(c_48969,plain,
sum('#skF_1',n2) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_48938,c_434]) ).
tff(c_49480,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_49477,c_48969]) ).
tff(c_48973,plain,
sum('#skF_1',n3) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_48938,c_432]) ).
tff(c_49525,plain,
succ('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_49477,c_850]) ).
tff(c_49551,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_49525,c_274]) ).
tff(c_49552,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_794,c_48973,c_49551]) ).
tff(c_49745,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_48979,c_49505,c_796,c_49480,c_49552]) ).
tff(c_49746,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48999,c_49745]) ).
tff(c_49747,plain,
( ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_49475]) ).
tff(c_49749,plain,
n13 = '#skF_2',
inference(splitLeft,[status(thm)],[c_49747]) ).
tff(c_49783,plain,
sum('#skF_2',n7) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_49749,c_360]) ).
tff(c_48947,plain,
sum('#skF_1',n13) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_48938,c_412]) ).
tff(c_49750,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_49749,c_48947]) ).
tff(c_49797,plain,
succ('#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_49749,c_828]) ).
tff(c_49823,plain,
sum(pred(sum('#skF_1',n14)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_49797,c_274]) ).
tff(c_49824,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_804,c_48948,c_49823]) ).
tff(c_50017,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_526,c_49783,c_806,c_49750,c_49824]) ).
tff(c_50018,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_248,c_50017]) ).
tff(c_50019,plain,
( ( n12 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_49747]) ).
tff(c_50021,plain,
n3 = '#skF_2',
inference(splitLeft,[status(thm)],[c_50019]) ).
tff(c_50067,plain,
sum('#skF_2',n13) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_50021,c_668]) ).
tff(c_50025,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_50021,c_48973]) ).
tff(c_48959,plain,
sum('#skF_1',n4) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_48938,c_430]) ).
tff(c_50071,plain,
succ('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_50021,c_848]) ).
tff(c_50099,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_50071,c_274]) ).
tff(c_50100,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_792,c_48959,c_50099]) ).
tff(c_50289,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_342,c_50067,c_794,c_50025,c_50100]) ).
tff(c_50290,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_244,c_50289]) ).
tff(c_50291,plain,
( ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n12 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_50019]) ).
tff(c_50293,plain,
n12 = '#skF_2',
inference(splitLeft,[status(thm)],[c_50291]) ).
tff(c_50307,plain,
sum('#skF_2',n6) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_50293,c_394]) ).
tff(c_50297,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_50293,c_48954]) ).
tff(c_50342,plain,
succ('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_50293,c_830]) ).
tff(c_50367,plain,
sum(pred(sum('#skF_1',n13)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_50342,c_274]) ).
tff(c_50368,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_806,c_48947,c_50367]) ).
tff(c_50561,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_562,c_50307,c_808,c_50297,c_50368]) ).
tff(c_50562,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_254,c_50561]) ).
tff(c_50563,plain,
( ( '#skF_2' = '#skF_1' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_50291]) ).
tff(c_50565,plain,
n4 = '#skF_2',
inference(splitLeft,[status(thm)],[c_50563]) ).
tff(c_50577,plain,
sum('#skF_2',n14) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_50565,c_634]) ).
tff(c_50570,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_50565,c_48959]) ).
tff(c_50614,plain,
succ('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_50565,c_846]) ).
tff(c_50643,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_50614,c_274]) ).
tff(c_50644,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_822,c_48960,c_50643]) ).
tff(c_50833,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_306,c_50577,c_792,c_50570,c_50644]) ).
tff(c_50834,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_270,c_50833]) ).
tff(c_50835,plain,
( ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_50563]) ).
tff(c_50837,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_50835]) ).
tff(c_50847,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_50837,c_50837,c_50837,c_274]) ).
tff(c_50848,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_598,c_808,c_48960,c_810,c_48954,c_48985,c_48941,c_50847]) ).
tff(c_50850,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_260,c_50848]) ).
tff(c_50851,plain,
( ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_50835]) ).
tff(c_50853,plain,
n5 = '#skF_2',
inference(splitLeft,[status(thm)],[c_50851]) ).
tff(c_50884,plain,
sum('#skF_2',n15) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_50853,c_600]) ).
tff(c_50858,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_50853,c_48960]) ).
tff(c_48961,plain,
sum('#skF_1',n6) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_48938,c_426]) ).
tff(c_50900,plain,
succ('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_50853,c_844]) ).
tff(c_50923,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_50900,c_274]) ).
tff(c_50924,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_820,c_48961,c_50923]) ).
tff(c_51121,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_782,c_50884,c_822,c_50858,c_50924]) ).
tff(c_51122,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_264,c_51121]) ).
tff(c_51123,plain,
( ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_50851]) ).
tff(c_51125,plain,
n10 = '#skF_2',
inference(splitLeft,[status(thm)],[c_51123]) ).
tff(c_51170,plain,
sum('#skF_2',n4) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_51125,c_462]) ).
tff(c_48946,plain,
sum('#skF_1',n10) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_48938,c_418]) ).
tff(c_51130,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_51125,c_48946]) ).
tff(c_48984,plain,
succ(n10) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_48938,c_834]) ).
tff(c_51132,plain,
succ('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_51125,c_48984]) ).
tff(c_51203,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_51132,c_274]) ).
tff(c_51204,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_810,c_48941,c_51203]) ).
tff(c_51393,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_602,c_51170,c_812,c_51130,c_51204]) ).
tff(c_51394,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_266,c_51393]) ).
tff(c_51395,plain,
( ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_51123]) ).
tff(c_51397,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_51395]) ).
tff(c_51404,plain,
sum(n1,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_51397,c_746]) ).
tff(c_51411,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_51397,c_51397,c_598]) ).
tff(c_51400,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_51397,c_48961]) ).
tff(c_48943,plain,
sum('#skF_1',n7) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_48938,c_424]) ).
tff(c_51447,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_51397,c_842]) ).
tff(c_51471,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_51447,c_274]) ).
tff(c_51472,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_818,c_48943,c_51471]) ).
tff(c_51665,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_51404,c_51411,c_820,c_51400,c_51472]) ).
tff(c_51666,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258,c_51665]) ).
tff(c_51667,plain,
( ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_51395]) ).
tff(c_51669,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_51667]) ).
tff(c_51678,plain,
sum('#skF_2',n3) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_51669,c_496]) ).
tff(c_48945,plain,
sum('#skF_1',n9) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_48938,c_420]) ).
tff(c_51670,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_51669,c_48945]) ).
tff(c_51716,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_51669,c_836]) ).
tff(c_51739,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_51716,c_274]) ).
tff(c_51740,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_812,c_48946,c_51739]) ).
tff(c_51937,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_638,c_51678,c_814,c_51670,c_51740]) ).
tff(c_51938,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_272,c_51937]) ).
tff(c_51939,plain,
( ( n8 = '#skF_2' )
| ( n7 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_51667]) ).
tff(c_51941,plain,
n7 = '#skF_2',
inference(splitLeft,[status(thm)],[c_51939]) ).
tff(c_51985,plain,
sum('#skF_2',n1) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_51941,c_564]) ).
tff(c_51947,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_51941,c_48943]) ).
tff(c_48944,plain,
sum('#skF_1',n8) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_48938,c_422]) ).
tff(c_51991,plain,
succ('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_51941,c_840]) ).
tff(c_52023,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_51991,c_274]) ).
tff(c_52024,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_816,c_48944,c_52023]) ).
tff(c_52209,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_710,c_51985,c_818,c_51947,c_52024]) ).
tff(c_52210,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252,c_52209]) ).
tff(c_52211,plain,
n8 = '#skF_2',
inference(splitRight,[status(thm)],[c_51939]) ).
tff(c_52221,plain,
sum('#skF_2',n2) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_52211,c_530]) ).
tff(c_52215,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_52211,c_48944]) ).
tff(c_52260,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_52211,c_838]) ).
tff(c_52282,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_52260,c_274]) ).
tff(c_52283,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_814,c_48945,c_52282]) ).
tff(c_52480,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_674,c_52221,c_816,c_52215,c_52283]) ).
tff(c_52481,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_246,c_52480]) ).
tff(c_52482,plain,
( ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_48936]) ).
tff(c_52484,plain,
n5 = '#skF_1',
inference(splitLeft,[status(thm)],[c_52482]) ).
tff(c_53007,plain,
sum('#skF_1',n9) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_52484,c_612]) ).
tff(c_53011,plain,
sum('#skF_1',n6) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_52484,c_618]) ).
tff(c_53042,plain,
succ('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_52484,c_844]) ).
tff(c_53012,plain,
sum('#skF_1','#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_52484,c_52484,c_620]) ).
tff(c_53061,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_52484,c_262]) ).
tff(c_53028,plain,
sum(n9,n12) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_52484,c_478]) ).
tff(c_52513,plain,
sum('#skF_1',n15) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_52484,c_600]) ).
tff(c_52485,plain,
n14 = '#skF_2',
inference(splitLeft,[status(thm)],[c_45391]) ).
tff(c_52578,plain,
sum('#skF_2',n2) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_52485,c_338]) ).
tff(c_52511,plain,
sum('#skF_1',n14) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_52484,c_602]) ).
tff(c_52663,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_52485,c_52511]) ).
tff(c_52597,plain,
succ('#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_52485,c_826]) ).
tff(c_52634,plain,
sum(pred(sum('#skF_1',n15)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_52597,c_274]) ).
tff(c_52993,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_694,c_814,c_52513,c_52578,c_816,c_52663,c_52634]) ).
tff(c_52994,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_266,c_52993]) ).
tff(c_52995,plain,
( ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_45391]) ).
tff(c_53262,plain,
( ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52484,c_52995]) ).
tff(c_53263,plain,
n2 = '#skF_2',
inference(splitLeft,[status(thm)],[c_53262]) ).
tff(c_53278,plain,
sum('#skF_2',n6) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_53263,c_714]) ).
tff(c_53017,plain,
sum('#skF_1',n2) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_52484,c_626]) ).
tff(c_53266,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_53263,c_53017]) ).
tff(c_53015,plain,
sum('#skF_1',n3) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_52484,c_624]) ).
tff(c_53311,plain,
succ('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_53263,c_850]) ).
tff(c_53337,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_53311,c_274]) ).
tff(c_53338,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_806,c_53015,c_53337]) ).
tff(c_53531,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_550,c_53278,c_808,c_53266,c_53338]) ).
tff(c_53532,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_242,c_53531]) ).
tff(c_53533,plain,
( ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_53262]) ).
tff(c_53535,plain,
n13 = '#skF_2',
inference(splitLeft,[status(thm)],[c_53533]) ).
tff(c_53563,plain,
sum('#skF_2',n1) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_53535,c_372]) ).
tff(c_53001,plain,
sum('#skF_1',n13) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_52484,c_604]) ).
tff(c_53537,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_53535,c_53001]) ).
tff(c_53022,plain,
sum('#skF_1',n14) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_52484,c_602]) ).
tff(c_53583,plain,
succ('#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_53535,c_828]) ).
tff(c_53609,plain,
sum(pred(sum('#skF_1',n14)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_53583,c_274]) ).
tff(c_53610,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_816,c_53022,c_53609]) ).
tff(c_53803,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_698,c_53563,c_818,c_53537,c_53610]) ).
tff(c_53804,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_272,c_53803]) ).
tff(c_53805,plain,
( ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_53533]) ).
tff(c_53807,plain,
n3 = '#skF_2',
inference(splitLeft,[status(thm)],[c_53805]) ).
tff(c_53849,plain,
sum('#skF_2',n7) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_53807,c_680]) ).
tff(c_53809,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_53807,c_53015]) ).
tff(c_53014,plain,
sum('#skF_1',n4) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_52484,c_622]) ).
tff(c_53857,plain,
succ('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_53807,c_848]) ).
tff(c_53885,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_53857,c_274]) ).
tff(c_53886,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_804,c_53014,c_53885]) ).
tff(c_54075,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_514,c_53849,c_806,c_53809,c_53886]) ).
tff(c_54076,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_268,c_54075]) ).
tff(c_54077,plain,
( ( n4 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_53805]) ).
tff(c_54079,plain,
n12 = '#skF_2',
inference(splitLeft,[status(thm)],[c_54077]) ).
tff(c_54115,plain,
sum(n1,'#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_54079,c_734]) ).
tff(c_54092,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_54079,c_54079,c_406]) ).
tff(c_53002,plain,
sum('#skF_1',n12) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_52484,c_606]) ).
tff(c_54080,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_54079,c_53002]) ).
tff(c_54126,plain,
succ('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_54079,c_830]) ).
tff(c_54149,plain,
sum(pred(sum('#skF_1',n13)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_54126,c_274]) ).
tff(c_54150,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_818,c_53001,c_54149]) ).
tff(c_54347,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_54115,c_54092,c_820,c_54080,c_54150]) ).
tff(c_54348,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_246,c_54347]) ).
tff(c_54349,plain,
( ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n4 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_54077]) ).
tff(c_54351,plain,
n4 = '#skF_2',
inference(splitLeft,[status(thm)],[c_54349]) ).
tff(c_54387,plain,
sum('#skF_2',n8) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_54351,c_646]) ).
tff(c_54353,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_54351,c_53014]) ).
tff(c_53045,plain,
succ(n4) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_52484,c_846]) ).
tff(c_54359,plain,
succ('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_54351,c_53045]) ).
tff(c_54433,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_54359,c_274]) ).
tff(c_54434,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_802,c_53012,c_54433]) ).
tff(c_54619,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_53028,c_54387,c_804,c_54353,c_54434]) ).
tff(c_54620,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53061,c_54619]) ).
tff(c_54621,plain,
( ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_54349]) ).
tff(c_54623,plain,
n11 = '#skF_2',
inference(splitLeft,[status(thm)],[c_54621]) ).
tff(c_54640,plain,
sum('#skF_2',n15) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_54623,c_408]) ).
tff(c_53004,plain,
sum('#skF_1',n11) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_52484,c_608]) ).
tff(c_54628,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_54623,c_53004]) ).
tff(c_54671,plain,
succ('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_54623,c_832]) ).
tff(c_54693,plain,
sum(pred(sum('#skF_1',n12)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_54671,c_274]) ).
tff(c_54694,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_820,c_53002,c_54693]) ).
tff(c_54891,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_770,c_54640,c_822,c_54628,c_54694]) ).
tff(c_54892,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252,c_54891]) ).
tff(c_54893,plain,
( ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_54621]) ).
tff(c_54895,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_54893]) ).
tff(c_54906,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_54895,c_54895,c_54895,c_274]) ).
tff(c_54907,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_442,c_800,c_53007,c_802,c_53011,c_53042,c_53012,c_54906]) ).
tff(c_54909,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_256,c_54907]) ).
tff(c_54910,plain,
( ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_54893]) ).
tff(c_54912,plain,
n10 = '#skF_2',
inference(splitLeft,[status(thm)],[c_54910]) ).
tff(c_54938,plain,
sum('#skF_2',n14) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_54912,c_442]) ).
tff(c_53006,plain,
sum('#skF_1',n10) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_52484,c_610]) ).
tff(c_54913,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_54912,c_53006]) ).
tff(c_54960,plain,
succ('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_54912,c_834]) ).
tff(c_54994,plain,
sum(pred(sum('#skF_1',n11)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_54960,c_274]) ).
tff(c_54995,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_822,c_53004,c_54994]) ).
tff(c_55180,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_294,c_54938,c_792,c_54913,c_54995]) ).
tff(c_55181,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258,c_55180]) ).
tff(c_55182,plain,
( ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_54910]) ).
tff(c_55184,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_55182]) ).
tff(c_55217,plain,
sum('#skF_2',n10) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_55184,c_578]) ).
tff(c_55185,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_55184,c_53011]) ).
tff(c_53010,plain,
sum('#skF_1',n7) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_52484,c_616]) ).
tff(c_55234,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_55184,c_842]) ).
tff(c_55258,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_55234,c_274]) ).
tff(c_55259,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_798,c_53010,c_55258]) ).
tff(c_55452,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_438,c_55217,c_800,c_55185,c_55259]) ).
tff(c_55453,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_250,c_55452]) ).
tff(c_55454,plain,
( ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_55182]) ).
tff(c_55456,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_55454]) ).
tff(c_55480,plain,
sum('#skF_2',n13) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_55456,c_476]) ).
tff(c_55461,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_55456,c_53007]) ).
tff(c_55503,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_55456,c_836]) ).
tff(c_55530,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_55503,c_274]) ).
tff(c_55531,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_792,c_53006,c_55530]) ).
tff(c_55724,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_330,c_55480,c_794,c_55461,c_55531]) ).
tff(c_55725,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_264,c_55724]) ).
tff(c_55726,plain,
( ( n8 = '#skF_2' )
| ( n7 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_55454]) ).
tff(c_55728,plain,
n7 = '#skF_2',
inference(splitLeft,[status(thm)],[c_55726]) ).
tff(c_55758,plain,
sum('#skF_2',n11) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_55728,c_544]) ).
tff(c_55732,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_55728,c_53010]) ).
tff(c_53008,plain,
sum('#skF_1',n8) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_52484,c_614]) ).
tff(c_55778,plain,
succ('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_55728,c_840]) ).
tff(c_55806,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_55778,c_274]) ).
tff(c_55807,plain,
sum(n12,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_796,c_53008,c_55806]) ).
tff(c_55996,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_402,c_55758,c_798,c_55732,c_55807]) ).
tff(c_55997,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_244,c_55996]) ).
tff(c_55998,plain,
n8 = '#skF_2',
inference(splitRight,[status(thm)],[c_55726]) ).
tff(c_56039,plain,
sum('#skF_2',n12) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_55998,c_510]) ).
tff(c_56000,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_55998,c_53008]) ).
tff(c_56047,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_55998,c_838]) ).
tff(c_56069,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_56047,c_274]) ).
tff(c_56070,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_794,c_53007,c_56069]) ).
tff(c_56267,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_366,c_56039,c_796,c_56000,c_56070]) ).
tff(c_56268,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_270,c_56267]) ).
tff(c_56269,plain,
( ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_52482]) ).
tff(c_57896,plain,
n10 = '#skF_1',
inference(splitLeft,[status(thm)],[c_56269]) ).
tff(c_57916,plain,
sum('#skF_1',n3) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_57896,c_464]) ).
tff(c_57918,plain,
sum('#skF_1',n11) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_57896,c_448]) ).
tff(c_57943,plain,
succ('#skF_1') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_57896,c_834]) ).
tff(c_57915,plain,
sum('#skF_1','#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_57896,c_57896,c_450]) ).
tff(c_57961,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_57896,c_252]) ).
tff(c_57921,plain,
sum(n7,n3) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_57896,c_560]) ).
tff(c_56271,plain,
n14 = '#skF_2',
inference(splitLeft,[status(thm)],[c_45391]) ).
tff(c_56297,plain,
sum('#skF_2',n6) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_56271,c_330]) ).
tff(c_56311,plain,
sum('#skF_2',n3) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_56271,c_336]) ).
tff(c_56284,plain,
sum('#skF_2',n7) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_56271,c_328]) ).
tff(c_56539,plain,
n10 = '#skF_1',
inference(splitLeft,[status(thm)],[c_56269]) ).
tff(c_56293,plain,
sum(n10,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_56271,c_442]) ).
tff(c_56540,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_56539,c_56293]) ).
tff(c_56576,plain,
sum('#skF_1',n15) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_56539,c_440]) ).
tff(c_56320,plain,
succ('#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_56271,c_826]) ).
tff(c_56342,plain,
sum(pred(sum('#skF_1',n15)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_56320,c_274]) ).
tff(c_56801,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_524,c_56284,c_806,c_56540,c_804,c_56576,c_56342]) ).
tff(c_56802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_246,c_56801]) ).
tff(c_56803,plain,
( ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_56269]) ).
tff(c_56805,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_56803]) ).
tff(c_56312,plain,
sum(n6,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_56271,c_570]) ).
tff(c_56810,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_56805,c_56312]) ).
tff(c_56840,plain,
sum('#skF_1',n15) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_56805,c_568]) ).
tff(c_57071,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_660,c_56311,c_814,c_56810,c_812,c_56840,c_56342]) ).
tff(c_57072,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_262,c_57071]) ).
tff(c_57073,plain,
( ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_56803]) ).
tff(c_57075,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_57073]) ).
tff(c_56283,plain,
sum(n9,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_56271,c_474]) ).
tff(c_57083,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_57075,c_56283]) ).
tff(c_57125,plain,
sum('#skF_1',n15) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_57075,c_472]) ).
tff(c_57277,plain,
sum(pred(n8),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_57125,c_56342]) ).
tff(c_57278,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_806,c_57277]) ).
tff(c_57347,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_558,c_56297,c_808,c_57083,c_57278]) ).
tff(c_57348,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_250,c_57347]) ).
tff(c_57349,plain,
( ( n8 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_57073]) ).
tff(c_57351,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_57349]) ).
tff(c_57416,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_57351,c_258]) ).
tff(c_57374,plain,
sum(n5,n2) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_57351,c_626]) ).
tff(c_56304,plain,
sum('#skF_2',n4) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_56271,c_334]) ).
tff(c_56273,plain,
sum(n7,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_56271,c_538]) ).
tff(c_57352,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_57351,c_56273]) ).
tff(c_57387,plain,
sum('#skF_1',n15) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_57351,c_536]) ).
tff(c_57617,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_57374,c_56304,c_812,c_57352,c_810,c_57387,c_56342]) ).
tff(c_57618,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57416,c_57617]) ).
tff(c_57619,plain,
n8 = '#skF_1',
inference(splitRight,[status(thm)],[c_57349]) ).
tff(c_57650,plain,
sum('#skF_1',n15) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_57619,c_504]) ).
tff(c_56300,plain,
sum('#skF_2',n5) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_56271,c_332]) ).
tff(c_56278,plain,
sum(n8,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_56271,c_506]) ).
tff(c_57625,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_57619,c_56278]) ).
tff(c_57758,plain,
sum(pred(sum('#skF_1',n15)),sum('#skF_2',pred(n6))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_57625,c_56342]) ).
tff(c_57759,plain,
sum(pred(sum('#skF_1',n15)),n3) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_56300,c_810,c_57758]) ).
tff(c_57892,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_592,c_808,c_57650,c_57759]) ).
tff(c_57893,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_254,c_57892]) ).
tff(c_57894,plain,
( ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_45391]) ).
tff(c_58162,plain,
( ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57896,c_57894]) ).
tff(c_58163,plain,
n2 = '#skF_2',
inference(splitLeft,[status(thm)],[c_58162]) ).
tff(c_58188,plain,
sum('#skF_2',n11) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_58163,c_704]) ).
tff(c_57897,plain,
sum('#skF_1',n2) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_57896,c_466]) ).
tff(c_58167,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_58163,c_57897]) ).
tff(c_58211,plain,
succ('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_58163,c_850]) ).
tff(c_58237,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_58211,c_274]) ).
tff(c_58238,plain,
sum(n12,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_796,c_57916,c_58237]) ).
tff(c_58431,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_380,c_58188,c_798,c_58167,c_58238]) ).
tff(c_58432,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_254,c_58431]) ).
tff(c_58433,plain,
( ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_58162]) ).
tff(c_58435,plain,
n13 = '#skF_2',
inference(splitLeft,[status(thm)],[c_58433]) ).
tff(c_58469,plain,
sum('#skF_2',n6) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_58435,c_362]) ).
tff(c_57941,plain,
sum('#skF_1',n13) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_57896,c_444]) ).
tff(c_58440,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_58435,c_57941]) ).
tff(c_57920,plain,
sum('#skF_1',n14) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_57896,c_442]) ).
tff(c_58483,plain,
succ('#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_58435,c_828]) ).
tff(c_58509,plain,
sum(pred(sum('#skF_1',n14)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_58483,c_274]) ).
tff(c_58510,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_806,c_57920,c_58509]) ).
tff(c_58703,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_57921,c_58469,c_808,c_58440,c_58510]) ).
tff(c_58704,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57961,c_58703]) ).
tff(c_58705,plain,
( ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_58433]) ).
tff(c_58707,plain,
n3 = '#skF_2',
inference(splitLeft,[status(thm)],[c_58705]) ).
tff(c_58725,plain,
sum('#skF_2',n12) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_58707,c_670]) ).
tff(c_58709,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_58707,c_57916]) ).
tff(c_57938,plain,
sum('#skF_1',n4) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_57896,c_462]) ).
tff(c_58757,plain,
succ('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_58707,c_848]) ).
tff(c_58785,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_58757,c_274]) ).
tff(c_58786,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_794,c_57938,c_58785]) ).
tff(c_58975,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_344,c_58725,c_796,c_58709,c_58786]) ).
tff(c_58976,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_248,c_58975]) ).
tff(c_58977,plain,
( ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_58705]) ).
tff(c_58979,plain,
n12 = '#skF_2',
inference(splitLeft,[status(thm)],[c_58977]) ).
tff(c_58990,plain,
sum('#skF_2',n5) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_58979,c_396]) ).
tff(c_57917,plain,
sum('#skF_1',n12) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_57896,c_446]) ).
tff(c_58982,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_58979,c_57917]) ).
tff(c_59026,plain,
succ('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_58979,c_830]) ).
tff(c_59049,plain,
sum(pred(sum('#skF_1',n13)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_59026,c_274]) ).
tff(c_59050,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_808,c_57941,c_59049]) ).
tff(c_59247,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_596,c_58990,c_810,c_58982,c_59050]) ).
tff(c_59248,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258,c_59247]) ).
tff(c_59249,plain,
( ( n11 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_58977]) ).
tff(c_59251,plain,
n4 = '#skF_2',
inference(splitLeft,[status(thm)],[c_59249]) ).
tff(c_59267,plain,
sum('#skF_2',n13) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_59251,c_636]) ).
tff(c_59255,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_59251,c_57938]) ).
tff(c_57940,plain,
sum('#skF_1',n5) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_57896,c_460]) ).
tff(c_59300,plain,
succ('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_59251,c_846]) ).
tff(c_59329,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_59300,c_274]) ).
tff(c_59330,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_792,c_57940,c_59329]) ).
tff(c_59519,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_340,c_59267,c_794,c_59255,c_59330]) ).
tff(c_59520,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_242,c_59519]) ).
tff(c_59521,plain,
( ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n11 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_59249]) ).
tff(c_59523,plain,
n11 = '#skF_2',
inference(splitLeft,[status(thm)],[c_59521]) ).
tff(c_59548,plain,
sum('#skF_2',n4) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_59523,c_430]) ).
tff(c_59529,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_59523,c_57918]) ).
tff(c_59572,plain,
succ('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_59523,c_832]) ).
tff(c_59593,plain,
sum(pred(sum('#skF_1',n12)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_59572,c_274]) ).
tff(c_59594,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_810,c_57917,c_59593]) ).
tff(c_59791,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_600,c_59548,c_812,c_59529,c_59594]) ).
tff(c_59792,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_264,c_59791]) ).
tff(c_59793,plain,
( ( '#skF_2' = '#skF_1' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_59521]) ).
tff(c_59795,plain,
n5 = '#skF_2',
inference(splitLeft,[status(thm)],[c_59793]) ).
tff(c_59824,plain,
sum('#skF_2',n14) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_59795,c_602]) ).
tff(c_59798,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_59795,c_57940]) ).
tff(c_57909,plain,
sum('#skF_1',n6) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_57896,c_458]) ).
tff(c_59842,plain,
succ('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_59795,c_844]) ).
tff(c_59873,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_59842,c_274]) ).
tff(c_59874,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_822,c_57909,c_59873]) ).
tff(c_60063,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_304,c_59824,c_792,c_59798,c_59874]) ).
tff(c_60064,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_268,c_60063]) ).
tff(c_60065,plain,
( ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_59793]) ).
tff(c_60067,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_60065]) ).
tff(c_60079,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_60067,c_60067,c_60067,c_274]) ).
tff(c_60080,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_636,c_57916,c_814,c_812,c_57918,c_57943,c_57915,c_60079]) ).
tff(c_60082,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_270,c_60080]) ).
tff(c_60083,plain,
( ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_60065]) ).
tff(c_60085,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_60083]) ).
tff(c_60119,plain,
sum('#skF_2',n15) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_60085,c_568]) ).
tff(c_60089,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_60085,c_57909]) ).
tff(c_57903,plain,
sum('#skF_1',n7) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_57896,c_456]) ).
tff(c_60135,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_60085,c_842]) ).
tff(c_60167,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_60135,c_274]) ).
tff(c_60168,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_820,c_57903,c_60167]) ).
tff(c_60353,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_780,c_60119,c_822,c_60089,c_60168]) ).
tff(c_60354,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_262,c_60353]) ).
tff(c_60355,plain,
( ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_60083]) ).
tff(c_60357,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_60355]) ).
tff(c_60404,plain,
sum('#skF_2',n2) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_60357,c_498]) ).
tff(c_57913,plain,
sum('#skF_1',n9) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_57896,c_452]) ).
tff(c_60359,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_60357,c_57913]) ).
tff(c_57942,plain,
succ(n9) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_57896,c_836]) ).
tff(c_60365,plain,
succ('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_60357,c_57942]) ).
tff(c_60439,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_60365,c_274]) ).
tff(c_60440,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_814,c_57915,c_60439]) ).
tff(c_60625,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_672,c_60404,c_816,c_60359,c_60440]) ).
tff(c_60626,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_244,c_60625]) ).
tff(c_60627,plain,
( ( n8 = '#skF_2' )
| ( n7 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_60355]) ).
tff(c_60629,plain,
n7 = '#skF_2',
inference(splitLeft,[status(thm)],[c_60627]) ).
tff(c_60646,plain,
sum(n1,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_60629,c_744]) ).
tff(c_60665,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_60629,c_60629,c_566]) ).
tff(c_60630,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_60629,c_57903]) ).
tff(c_57937,plain,
sum('#skF_1',n8) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_57896,c_454]) ).
tff(c_60679,plain,
succ('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_60629,c_840]) ).
tff(c_60703,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_60679,c_274]) ).
tff(c_60704,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_818,c_57937,c_60703]) ).
tff(c_60897,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_60646,c_60665,c_820,c_60630,c_60704]) ).
tff(c_60898,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_256,c_60897]) ).
tff(c_60899,plain,
n8 = '#skF_2',
inference(splitRight,[status(thm)],[c_60627]) ).
tff(c_60917,plain,
sum('#skF_2',n1) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_60899,c_532]) ).
tff(c_60906,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_60899,c_57937]) ).
tff(c_60948,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_60899,c_838]) ).
tff(c_60974,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_60948,c_274]) ).
tff(c_60975,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_816,c_57913,c_60974]) ).
tff(c_61168,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_708,c_60917,c_818,c_60906,c_60975]) ).
tff(c_61169,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_250,c_61168]) ).
tff(c_61170,plain,
( ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_56269]) ).
tff(c_62515,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_61170]) ).
tff(c_62580,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_62515,c_260]) ).
tff(c_62538,plain,
sum(n15,n7) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_62515,c_296]) ).
tff(c_62548,plain,
sum('#skF_1',n11) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_62515,c_576]) ).
tff(c_62531,plain,
sum('#skF_1',n7) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_62515,c_584]) ).
tff(c_62564,plain,
succ('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_62515,c_842]) ).
tff(c_62555,plain,
sum('#skF_1','#skF_1') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_62515,c_62515,c_586]) ).
tff(c_61172,plain,
n2 = '#skF_2',
inference(splitLeft,[status(thm)],[c_57894]) ).
tff(c_61199,plain,
sum('#skF_2',n9) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_61172,c_708]) ).
tff(c_61186,plain,
sum('#skF_2',n8) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_61172,c_710]) ).
tff(c_61201,plain,
sum('#skF_2',n10) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_61172,c_706]) ).
tff(c_61209,plain,
sum('#skF_2',n7) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_61172,c_712]) ).
tff(c_61440,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_61170]) ).
tff(c_61216,plain,
sum(n6,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_61172,c_594]) ).
tff(c_61445,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_61440,c_61216]) ).
tff(c_61469,plain,
sum('#skF_1',n3) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_61440,c_592]) ).
tff(c_61220,plain,
succ('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_61172,c_850]) ).
tff(c_61251,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_61220,c_274]) ).
tff(c_61706,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_516,c_61209,c_806,c_61445,c_804,c_61469,c_61251]) ).
tff(c_61707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_270,c_61706]) ).
tff(c_61708,plain,
( ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_61170]) ).
tff(c_61710,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_61708]) ).
tff(c_61214,plain,
sum(n9,'#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_61172,c_498]) ).
tff(c_61715,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_61710,c_61214]) ).
tff(c_61718,plain,
sum('#skF_1',n3) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_61710,c_496]) ).
tff(c_61976,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_414,c_61201,c_800,c_61715,c_798,c_61718,c_61251]) ).
tff(c_61977,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258,c_61976]) ).
tff(c_61978,plain,
( ( n8 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_61708]) ).
tff(c_61980,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_61978]) ).
tff(c_61193,plain,
sum(n7,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_61172,c_562]) ).
tff(c_61985,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_61980,c_61193]) ).
tff(c_62013,plain,
sum('#skF_1',n3) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_61980,c_560]) ).
tff(c_62242,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_482,c_61186,c_804,c_61985,c_802,c_62013,c_61251]) ).
tff(c_62243,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_266,c_62242]) ).
tff(c_62244,plain,
n8 = '#skF_1',
inference(splitRight,[status(thm)],[c_61978]) ).
tff(c_61176,plain,
sum(n8,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_61172,c_530]) ).
tff(c_62246,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_62244,c_61176]) ).
tff(c_62278,plain,
sum('#skF_1',n3) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_62244,c_528]) ).
tff(c_62511,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_448,c_61199,c_802,c_62246,c_800,c_62278,c_61251]) ).
tff(c_62512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_262,c_62511]) ).
tff(c_62513,plain,
( ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_57894]) ).
tff(c_62781,plain,
( ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62515,c_62513]) ).
tff(c_62782,plain,
n13 = '#skF_2',
inference(splitLeft,[status(thm)],[c_62781]) ).
tff(c_62811,plain,
sum('#skF_2',n2) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_62782,c_370]) ).
tff(c_62557,plain,
sum('#skF_1',n13) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_62515,c_572]) ).
tff(c_62787,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_62782,c_62557]) ).
tff(c_62550,plain,
sum('#skF_1',n14) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_62515,c_570]) ).
tff(c_62830,plain,
succ('#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_62782,c_828]) ).
tff(c_62860,plain,
sum(pred(sum('#skF_1',n14)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_62830,c_274]) ).
tff(c_62861,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_814,c_62550,c_62860]) ).
tff(c_63050,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_664,c_62811,c_816,c_62787,c_62861]) ).
tff(c_63051,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_268,c_63050]) ).
tff(c_63052,plain,
( ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_62781]) ).
tff(c_63054,plain,
n3 = '#skF_2',
inference(splitLeft,[status(thm)],[c_63052]) ).
tff(c_63077,plain,
sum('#skF_2',n8) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_63054,c_678]) ).
tff(c_62540,plain,
sum('#skF_1',n3) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_62515,c_592]) ).
tff(c_63055,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_63054,c_62540]) ).
tff(c_62554,plain,
sum('#skF_1',n4) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_62515,c_590]) ).
tff(c_63104,plain,
succ('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_63054,c_848]) ).
tff(c_63132,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_63104,c_274]) ).
tff(c_63133,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_802,c_62554,c_63132]) ).
tff(c_63322,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_480,c_63077,c_804,c_63055,c_63133]) ).
tff(c_63323,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_264,c_63322]) ).
tff(c_63324,plain,
( ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_63052]) ).
tff(c_63326,plain,
n12 = '#skF_2',
inference(splitLeft,[status(thm)],[c_63324]) ).
tff(c_63339,plain,
sum('#skF_2',n1) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_63326,c_404]) ).
tff(c_62553,plain,
sum('#skF_1',n12) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_62515,c_574]) ).
tff(c_63329,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_63326,c_62553]) ).
tff(c_63373,plain,
succ('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_63326,c_830]) ).
tff(c_63400,plain,
sum(pred(sum('#skF_1',n13)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_63373,c_274]) ).
tff(c_63401,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_816,c_62557,c_63400]) ).
tff(c_63594,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_700,c_63339,c_818,c_63329,c_63401]) ).
tff(c_63595,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_242,c_63594]) ).
tff(c_63596,plain,
( ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_63324]) ).
tff(c_63598,plain,
n4 = '#skF_2',
inference(splitLeft,[status(thm)],[c_63596]) ).
tff(c_63637,plain,
sum('#skF_2',n9) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_63598,c_644]) ).
tff(c_63604,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_63598,c_62554]) ).
tff(c_62544,plain,
sum('#skF_1',n5) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_62515,c_588]) ).
tff(c_63647,plain,
succ('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_63598,c_846]) ).
tff(c_63672,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_63647,c_274]) ).
tff(c_63673,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_800,c_62544,c_63672]) ).
tff(c_63866,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_444,c_63637,c_802,c_63604,c_63673]) ).
tff(c_63867,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258,c_63866]) ).
tff(c_63868,plain,
( ( n5 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_63596]) ).
tff(c_63870,plain,
n11 = '#skF_2',
inference(splitLeft,[status(thm)],[c_63868]) ).
tff(c_63879,plain,
sum(n1,'#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_63870,c_736]) ).
tff(c_63909,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_63870,c_63870,c_438]) ).
tff(c_63875,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_63870,c_62548]) ).
tff(c_63918,plain,
succ('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_63870,c_832]) ).
tff(c_63952,plain,
sum(pred(sum('#skF_1',n12)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_63918,c_274]) ).
tff(c_63953,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_818,c_62553,c_63952]) ).
tff(c_64138,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_63879,c_63909,c_820,c_63875,c_63953]) ).
tff(c_64139,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_248,c_64138]) ).
tff(c_64140,plain,
( ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n5 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_63868]) ).
tff(c_64142,plain,
n5 = '#skF_2',
inference(splitLeft,[status(thm)],[c_64140]) ).
tff(c_64161,plain,
sum('#skF_2',n10) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_64142,c_610]) ).
tff(c_64145,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_64142,c_62544]) ).
tff(c_62561,plain,
succ(n5) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_62515,c_844]) ).
tff(c_64150,plain,
succ('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_64142,c_62561]) ).
tff(c_64224,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_64150,c_274]) ).
tff(c_64225,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_798,c_62555,c_64224]) ).
tff(c_64410,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_408,c_64161,c_800,c_64145,c_64225]) ).
tff(c_64411,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252,c_64410]) ).
tff(c_64412,plain,
( ( '#skF_2' = '#skF_1' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_64140]) ).
tff(c_64414,plain,
n10 = '#skF_2',
inference(splitLeft,[status(thm)],[c_64412]) ).
tff(c_64451,plain,
sum('#skF_2',n15) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_64414,c_440]) ).
tff(c_62541,plain,
sum('#skF_1',n10) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_62515,c_578]) ).
tff(c_64417,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_64414,c_62541]) ).
tff(c_64462,plain,
succ('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_64414,c_834]) ).
tff(c_64484,plain,
sum(pred(sum('#skF_1',n11)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_64462,c_274]) ).
tff(c_64485,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_820,c_62548,c_64484]) ).
tff(c_64682,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_772,c_64451,c_822,c_64417,c_64485]) ).
tff(c_64683,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_254,c_64682]) ).
tff(c_64684,plain,
( ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_64412]) ).
tff(c_64686,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_64684]) ).
tff(c_64699,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_64686,c_64686,c_64686,c_274]) ).
tff(c_64700,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_404,c_796,c_62548,c_798,c_62531,c_62564,c_62555,c_64699]) ).
tff(c_64702,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_246,c_64700]) ).
tff(c_64703,plain,
( ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_64684]) ).
tff(c_64705,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_64703]) ).
tff(c_64722,plain,
sum('#skF_2',n14) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_64705,c_474]) ).
tff(c_62552,plain,
sum('#skF_1',n9) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_62515,c_580]) ).
tff(c_64710,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_64705,c_62552]) ).
tff(c_64752,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_64705,c_836]) ).
tff(c_64775,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_64752,c_274]) ).
tff(c_64776,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_822,c_62541,c_64775]) ).
tff(c_64973,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_62538,c_64722,c_792,c_64710,c_64776]) ).
tff(c_64974,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62580,c_64973]) ).
tff(c_64975,plain,
( ( n8 = '#skF_2' )
| ( n7 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_64703]) ).
tff(c_64977,plain,
n7 = '#skF_2',
inference(splitLeft,[status(thm)],[c_64975]) ).
tff(c_65018,plain,
sum('#skF_2',n12) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_64977,c_542]) ).
tff(c_64983,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_64977,c_62531]) ).
tff(c_62530,plain,
sum('#skF_1',n8) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_62515,c_582]) ).
tff(c_65027,plain,
succ('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_64977,c_840]) ).
tff(c_65047,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_65027,c_274]) ).
tff(c_65048,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_794,c_62530,c_65047]) ).
tff(c_65245,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_368,c_65018,c_796,c_64983,c_65048]) ).
tff(c_65246,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_272,c_65245]) ).
tff(c_65247,plain,
n8 = '#skF_2',
inference(splitRight,[status(thm)],[c_64975]) ).
tff(c_65277,plain,
sum('#skF_2',n13) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_65247,c_508]) ).
tff(c_65251,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_65247,c_62530]) ).
tff(c_65296,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_65247,c_838]) ).
tff(c_65322,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_65296,c_274]) ).
tff(c_65323,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_792,c_62552,c_65322]) ).
tff(c_65516,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_332,c_65277,c_794,c_65251,c_65323]) ).
tff(c_65517,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_266,c_65516]) ).
tff(c_65518,plain,
( ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_61170]) ).
tff(c_65520,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_65518]) ).
tff(c_65585,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_65520,c_254]) ).
tff(c_65563,plain,
sum('#skF_1',n1) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_65520,c_500]) ).
tff(c_65544,plain,
sum('#skF_1',n10) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_65520,c_482]) ).
tff(c_65566,plain,
succ('#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_65520,c_836]) ).
tff(c_65531,plain,
sum('#skF_1','#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_65520,c_65520,c_484]) ).
tff(c_65786,plain,
( ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65520,c_62513]) ).
tff(c_65787,plain,
n13 = '#skF_2',
inference(splitLeft,[status(thm)],[c_65786]) ).
tff(c_65818,plain,
sum('#skF_2',n5) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_65787,c_364]) ).
tff(c_65542,plain,
sum('#skF_1',n13) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_65520,c_476]) ).
tff(c_65793,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_65787,c_65542]) ).
tff(c_65530,plain,
sum('#skF_1',n14) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_65520,c_474]) ).
tff(c_65835,plain,
succ('#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_65787,c_828]) ).
tff(c_65869,plain,
sum(pred(sum('#skF_1',n14)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_65835,c_274]) ).
tff(c_65870,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_808,c_65530,c_65869]) ).
tff(c_66055,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_594,c_65818,c_810,c_65793,c_65870]) ).
tff(c_66056,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_256,c_66055]) ).
tff(c_66057,plain,
( ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_65786]) ).
tff(c_66059,plain,
n3 = '#skF_2',
inference(splitLeft,[status(thm)],[c_66057]) ).
tff(c_66085,plain,
sum('#skF_2',n11) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_66059,c_672]) ).
tff(c_65522,plain,
sum('#skF_1',n3) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_65520,c_496]) ).
tff(c_66063,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_66059,c_65522]) ).
tff(c_65539,plain,
sum('#skF_1',n4) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_65520,c_494]) ).
tff(c_66109,plain,
succ('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_66059,c_848]) ).
tff(c_66137,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_66109,c_274]) ).
tff(c_66138,plain,
sum(n12,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_796,c_65539,c_66137]) ).
tff(c_66327,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_378,c_66085,c_798,c_66063,c_66138]) ).
tff(c_66328,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252,c_66327]) ).
tff(c_66329,plain,
( ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_66057]) ).
tff(c_66331,plain,
n12 = '#skF_2',
inference(splitLeft,[status(thm)],[c_66329]) ).
tff(c_66348,plain,
sum('#skF_2',n4) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_66331,c_398]) ).
tff(c_65550,plain,
sum('#skF_1',n12) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_65520,c_478]) ).
tff(c_66336,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_66331,c_65550]) ).
tff(c_66378,plain,
succ('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_66331,c_830]) ).
tff(c_66401,plain,
sum(pred(sum('#skF_1',n13)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_66378,c_274]) ).
tff(c_66402,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_810,c_65542,c_66401]) ).
tff(c_66599,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_630,c_66348,c_812,c_66336,c_66402]) ).
tff(c_66600,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_262,c_66599]) ).
tff(c_66601,plain,
( ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_66329]) ).
tff(c_66603,plain,
n4 = '#skF_2',
inference(splitLeft,[status(thm)],[c_66601]) ).
tff(c_66621,plain,
sum('#skF_2',n12) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_66603,c_638]) ).
tff(c_66604,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_66603,c_65539]) ).
tff(c_65540,plain,
sum('#skF_1',n5) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_65520,c_492]) ).
tff(c_66652,plain,
succ('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_66603,c_846]) ).
tff(c_66681,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_66652,c_274]) ).
tff(c_66682,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_794,c_65540,c_66681]) ).
tff(c_66871,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_374,c_66621,c_796,c_66604,c_66682]) ).
tff(c_66872,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_246,c_66871]) ).
tff(c_66873,plain,
( ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_66601]) ).
tff(c_66875,plain,
n11 = '#skF_2',
inference(splitLeft,[status(thm)],[c_66873]) ).
tff(c_66912,plain,
sum('#skF_2',n3) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_66875,c_432]) ).
tff(c_65536,plain,
sum('#skF_1',n11) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_65520,c_480]) ).
tff(c_66879,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_66875,c_65536]) ).
tff(c_66923,plain,
succ('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_66875,c_832]) ).
tff(c_66945,plain,
sum(pred(sum('#skF_1',n12)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_66923,c_274]) ).
tff(c_66946,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_812,c_65550,c_66945]) ).
tff(c_67143,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_634,c_66912,c_814,c_66879,c_66946]) ).
tff(c_67144,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_268,c_67143]) ).
tff(c_67145,plain,
( ( n10 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_66873]) ).
tff(c_67147,plain,
n5 = '#skF_2',
inference(splitLeft,[status(thm)],[c_67145]) ).
tff(c_67159,plain,
sum('#skF_2',n13) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_67147,c_604]) ).
tff(c_67151,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_67147,c_65540]) ).
tff(c_65548,plain,
sum('#skF_1',n6) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_65520,c_490]) ).
tff(c_67194,plain,
succ('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_67147,c_844]) ).
tff(c_67225,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_67194,c_274]) ).
tff(c_67226,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_792,c_65548,c_67225]) ).
tff(c_67415,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_338,c_67159,c_794,c_67151,c_67226]) ).
tff(c_67416,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_272,c_67415]) ).
tff(c_67417,plain,
( ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n10 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_67145]) ).
tff(c_67419,plain,
n10 = '#skF_2',
inference(splitLeft,[status(thm)],[c_67417]) ).
tff(c_67429,plain,
sum('#skF_2',n2) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_67419,c_466]) ).
tff(c_67421,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_67419,c_65544]) ).
tff(c_67468,plain,
succ('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_67419,c_834]) ).
tff(c_67489,plain,
sum(pred(sum('#skF_1',n11)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_67468,c_274]) ).
tff(c_67490,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_814,c_65536,c_67489]) ).
tff(c_67687,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_670,c_67429,c_816,c_67421,c_67490]) ).
tff(c_67688,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_242,c_67687]) ).
tff(c_67689,plain,
( ( '#skF_2' = '#skF_1' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_67417]) ).
tff(c_67691,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_67689]) ).
tff(c_67728,plain,
sum('#skF_2',n14) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_67691,c_570]) ).
tff(c_67693,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_67691,c_65548]) ).
tff(c_65535,plain,
sum('#skF_1',n7) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_65520,c_488]) ).
tff(c_67741,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_67691,c_842]) ).
tff(c_67765,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_67741,c_274]) ).
tff(c_67766,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_822,c_65535,c_67765]) ).
tff(c_67959,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_302,c_67728,c_792,c_67693,c_67766]) ).
tff(c_67960,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_266,c_67959]) ).
tff(c_67961,plain,
( ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_67689]) ).
tff(c_67963,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_67961]) ).
tff(c_67977,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_67963,c_67963,c_67963,c_274]) ).
tff(c_67978,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_706,c_65563,c_818,c_816,c_65544,c_65566,c_65531,c_67977]) ).
tff(c_67980,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_248,c_67978]) ).
tff(c_67981,plain,
( ( n8 = '#skF_2' )
| ( n7 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_67961]) ).
tff(c_67983,plain,
n7 = '#skF_2',
inference(splitLeft,[status(thm)],[c_67981]) ).
tff(c_68020,plain,
sum('#skF_2',n15) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_67983,c_536]) ).
tff(c_67988,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_67983,c_65535]) ).
tff(c_65543,plain,
sum('#skF_1',n8) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_65520,c_486]) ).
tff(c_68033,plain,
succ('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_67983,c_840]) ).
tff(c_68053,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_68033,c_274]) ).
tff(c_68054,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_820,c_65543,c_68053]) ).
tff(c_68251,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_778,c_68020,c_822,c_67988,c_68054]) ).
tff(c_68252,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_260,c_68251]) ).
tff(c_68253,plain,
n8 = '#skF_2',
inference(splitRight,[status(thm)],[c_67981]) ).
tff(c_65521,plain,
sum(n1,n8) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_65520,c_742]) ).
tff(c_68256,plain,
sum(n1,'#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_68253,c_65521]) ).
tff(c_68282,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_68253,c_68253,c_534]) ).
tff(c_68257,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_68253,c_65543]) ).
tff(c_65568,plain,
succ(n8) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_65520,c_838]) ).
tff(c_68261,plain,
succ('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_68253,c_65568]) ).
tff(c_68324,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_68261,c_274]) ).
tff(c_68325,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_818,c_65531,c_68324]) ).
tff(c_68522,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_68256,c_68282,c_820,c_68257,c_68325]) ).
tff(c_68523,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65585,c_68522]) ).
tff(c_68524,plain,
( ( n8 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_65518]) ).
tff(c_68526,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_68524]) ).
tff(c_68538,plain,
sum('#skF_1',n13) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_68526,c_540]) ).
tff(c_68547,plain,
sum('#skF_1',n8) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_68526,c_550]) ).
tff(c_68575,plain,
succ('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_68526,c_840]) ).
tff(c_68550,plain,
sum('#skF_1','#skF_1') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_68526,c_68526,c_552]) ).
tff(c_68792,plain,
( ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68526,c_62513]) ).
tff(c_68793,plain,
n13 = '#skF_2',
inference(splitLeft,[status(thm)],[c_68792]) ).
tff(c_68823,plain,
sum('#skF_2',n3) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_68793,c_368]) ).
tff(c_68794,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_68793,c_68538]) ).
tff(c_68527,plain,
sum('#skF_1',n14) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_68526,c_538]) ).
tff(c_68841,plain,
succ('#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_68793,c_828]) ).
tff(c_68875,plain,
sum(pred(sum('#skF_1',n14)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_68841,c_274]) ).
tff(c_68876,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_812,c_68527,c_68875]) ).
tff(c_69061,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_662,c_68823,c_814,c_68794,c_68876]) ).
tff(c_69062,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_264,c_69061]) ).
tff(c_69063,plain,
( ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_68792]) ).
tff(c_69065,plain,
n3 = '#skF_2',
inference(splitLeft,[status(thm)],[c_69063]) ).
tff(c_69078,plain,
sum('#skF_2',n9) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_69065,c_676]) ).
tff(c_68557,plain,
sum('#skF_1',n3) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_68526,c_560]) ).
tff(c_69068,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_69065,c_68557]) ).
tff(c_68529,plain,
sum('#skF_1',n4) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_68526,c_558]) ).
tff(c_69115,plain,
succ('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_69065,c_848]) ).
tff(c_69143,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_69115,c_274]) ).
tff(c_69144,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_800,c_68529,c_69143]) ).
tff(c_69333,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_446,c_69078,c_802,c_69068,c_69144]) ).
tff(c_69334,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_260,c_69333]) ).
tff(c_69335,plain,
( ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_69063]) ).
tff(c_69337,plain,
n12 = '#skF_2',
inference(splitLeft,[status(thm)],[c_69335]) ).
tff(c_69356,plain,
sum('#skF_2',n2) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_69337,c_402]) ).
tff(c_68564,plain,
sum('#skF_1',n12) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_68526,c_542]) ).
tff(c_69342,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_69337,c_68564]) ).
tff(c_69384,plain,
succ('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_69337,c_830]) ).
tff(c_69407,plain,
sum(pred(sum('#skF_1',n13)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_69384,c_274]) ).
tff(c_69408,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_814,c_68538,c_69407]) ).
tff(c_69605,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_666,c_69356,c_816,c_69342,c_69408]) ).
tff(c_69606,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_270,c_69605]) ).
tff(c_69607,plain,
( ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_69335]) ).
tff(c_69609,plain,
n4 = '#skF_2',
inference(splitLeft,[status(thm)],[c_69607]) ).
tff(c_69623,plain,
sum('#skF_2',n10) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_69609,c_642]) ).
tff(c_69614,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_69609,c_68529]) ).
tff(c_68570,plain,
sum('#skF_1',n5) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_68526,c_556]) ).
tff(c_69658,plain,
succ('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_69609,c_846]) ).
tff(c_69691,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_69658,c_274]) ).
tff(c_69692,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_798,c_68570,c_69691]) ).
tff(c_69877,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_410,c_69623,c_800,c_69614,c_69692]) ).
tff(c_69878,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_254,c_69877]) ).
tff(c_69879,plain,
( ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_69607]) ).
tff(c_69881,plain,
n11 = '#skF_2',
inference(splitLeft,[status(thm)],[c_69879]) ).
tff(c_69889,plain,
sum('#skF_2',n1) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_69881,c_436]) ).
tff(c_68554,plain,
sum('#skF_1',n11) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_68526,c_544]) ).
tff(c_69885,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_69881,c_68554]) ).
tff(c_69929,plain,
succ('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_69881,c_832]) ).
tff(c_69951,plain,
sum(pred(sum('#skF_1',n12)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_69929,c_274]) ).
tff(c_69952,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_816,c_68564,c_69951]) ).
tff(c_70149,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_702,c_69889,c_818,c_69885,c_69952]) ).
tff(c_70150,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_244,c_70149]) ).
tff(c_70151,plain,
( ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_69879]) ).
tff(c_70153,plain,
n5 = '#skF_2',
inference(splitLeft,[status(thm)],[c_70151]) ).
tff(c_70166,plain,
sum('#skF_2',n11) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_70153,c_608]) ).
tff(c_70159,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_70153,c_68570]) ).
tff(c_68563,plain,
sum('#skF_1',n6) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_68526,c_554]) ).
tff(c_70200,plain,
succ('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_70153,c_844]) ).
tff(c_70235,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_70200,c_274]) ).
tff(c_70236,plain,
sum(n12,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_796,c_68563,c_70235]) ).
tff(c_70421,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_406,c_70166,c_798,c_70159,c_70236]) ).
tff(c_70422,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_248,c_70421]) ).
tff(c_70423,plain,
( ( n6 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_70151]) ).
tff(c_70425,plain,
n10 = '#skF_2',
inference(splitLeft,[status(thm)],[c_70423]) ).
tff(c_70441,plain,
sum(n1,'#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_70425,c_738]) ).
tff(c_70458,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_70425,c_70425,c_470]) ).
tff(c_68545,plain,
sum('#skF_1',n10) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_68526,c_546]) ).
tff(c_70426,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_70425,c_68545]) ).
tff(c_70473,plain,
succ('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_70425,c_834]) ).
tff(c_70499,plain,
sum(pred(sum('#skF_1',n11)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_70473,c_274]) ).
tff(c_70500,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_818,c_68554,c_70499]) ).
tff(c_70693,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_70441,c_70458,c_820,c_70426,c_70500]) ).
tff(c_70694,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_250,c_70693]) ).
tff(c_70695,plain,
( ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_70423]) ).
tff(c_70697,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_70695]) ).
tff(c_70738,plain,
sum('#skF_2',n12) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_70697,c_574]) ).
tff(c_70702,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_70697,c_68563]) ).
tff(c_68574,plain,
succ(n6) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_68526,c_842]) ).
tff(c_70705,plain,
succ('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_70697,c_68574]) ).
tff(c_70775,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_70705,c_274]) ).
tff(c_70776,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_794,c_68550,c_70775]) ).
tff(c_70965,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_370,c_70738,c_796,c_70702,c_70776]) ).
tff(c_70966,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_242,c_70965]) ).
tff(c_70967,plain,
( ( '#skF_2' = '#skF_1' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_70695]) ).
tff(c_70969,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_70967]) ).
tff(c_71015,plain,
sum('#skF_2',n15) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_70969,c_472]) ).
tff(c_68544,plain,
sum('#skF_1',n9) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_68526,c_548]) ).
tff(c_70971,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_70969,c_68544]) ).
tff(c_71016,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_70969,c_836]) ).
tff(c_71047,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_71016,c_274]) ).
tff(c_71048,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_820,c_68545,c_71047]) ).
tff(c_71237,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_774,c_71015,c_822,c_70971,c_71048]) ).
tff(c_71238,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_256,c_71237]) ).
tff(c_71239,plain,
( ( n8 = '#skF_2' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_70967]) ).
tff(c_71241,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_71239]) ).
tff(c_71256,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_71241,c_71241,c_71241,c_274]) ).
tff(c_71257,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_334,c_68538,c_794,c_792,c_68547,c_68575,c_68550,c_71256]) ).
tff(c_71259,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_268,c_71257]) ).
tff(c_71260,plain,
n8 = '#skF_2',
inference(splitRight,[status(thm)],[c_71239]) ).
tff(c_71275,plain,
sum('#skF_2',n14) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_71260,c_506]) ).
tff(c_71264,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_71260,c_68547]) ).
tff(c_71310,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_71260,c_838]) ).
tff(c_71339,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_71310,c_274]) ).
tff(c_71340,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_822,c_68544,c_71339]) ).
tff(c_71529,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_298,c_71275,c_792,c_71264,c_71340]) ).
tff(c_71530,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_262,c_71529]) ).
tff(c_71531,plain,
n8 = '#skF_1',
inference(splitRight,[status(thm)],[c_68524]) ).
tff(c_71552,plain,
sum('#skF_1',n15) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_71531,c_504]) ).
tff(c_71571,plain,
sum('#skF_1',n9) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_71531,c_516]) ).
tff(c_71579,plain,
succ('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_71531,c_838]) ).
tff(c_71551,plain,
sum('#skF_1','#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_71531,c_71531,c_518]) ).
tff(c_71597,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_71531,c_256]) ).
tff(c_71540,plain,
sum(n11,n13) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_71531,c_412]) ).
tff(c_71798,plain,
( ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71531,c_62513]) ).
tff(c_71799,plain,
n13 = '#skF_2',
inference(splitLeft,[status(thm)],[c_71798]) ).
tff(c_71830,plain,
sum('#skF_2',n4) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_71799,c_366]) ).
tff(c_71557,plain,
sum('#skF_1',n13) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_71531,c_508]) ).
tff(c_71802,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_71799,c_71557]) ).
tff(c_71538,plain,
sum('#skF_1',n14) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_71531,c_506]) ).
tff(c_71847,plain,
succ('#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_71799,c_828]) ).
tff(c_71881,plain,
sum(pred(sum('#skF_1',n14)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_71847,c_274]) ).
tff(c_71882,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_810,c_71538,c_71881]) ).
tff(c_72067,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_628,c_71830,c_812,c_71802,c_71882]) ).
tff(c_72068,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_260,c_72067]) ).
tff(c_72069,plain,
( ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_71798]) ).
tff(c_72071,plain,
n3 = '#skF_2',
inference(splitLeft,[status(thm)],[c_72069]) ).
tff(c_72114,plain,
sum('#skF_2',n10) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_72071,c_674]) ).
tff(c_71562,plain,
sum('#skF_1',n3) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_71531,c_528]) ).
tff(c_72073,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_72071,c_71562]) ).
tff(c_71558,plain,
sum('#skF_1',n4) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_71531,c_526]) ).
tff(c_72121,plain,
succ('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_72071,c_848]) ).
tff(c_72153,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_72121,c_274]) ).
tff(c_72154,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_798,c_71558,c_72153]) ).
tff(c_72339,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_71540,c_72114,c_800,c_72073,c_72154]) ).
tff(c_72340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71597,c_72339]) ).
tff(c_72341,plain,
( ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_72069]) ).
tff(c_72343,plain,
n12 = '#skF_2',
inference(splitLeft,[status(thm)],[c_72341]) ).
tff(c_72357,plain,
sum('#skF_2',n3) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_72343,c_400]) ).
tff(c_71570,plain,
sum('#skF_1',n12) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_71531,c_510]) ).
tff(c_72347,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_72343,c_71570]) ).
tff(c_72390,plain,
succ('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_72343,c_830]) ).
tff(c_72413,plain,
sum(pred(sum('#skF_1',n13)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_72390,c_274]) ).
tff(c_72414,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_812,c_71557,c_72413]) ).
tff(c_72611,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_632,c_72357,c_814,c_72347,c_72414]) ).
tff(c_72612,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_266,c_72611]) ).
tff(c_72613,plain,
( ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_72341]) ).
tff(c_72615,plain,
n4 = '#skF_2',
inference(splitLeft,[status(thm)],[c_72613]) ).
tff(c_72634,plain,
sum('#skF_2',n11) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_72615,c_640]) ).
tff(c_72617,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_72615,c_71558]) ).
tff(c_71572,plain,
sum('#skF_1',n5) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_71531,c_524]) ).
tff(c_72664,plain,
succ('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_72615,c_846]) ).
tff(c_72689,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_72664,c_274]) ).
tff(c_72690,plain,
sum(n12,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_796,c_71572,c_72689]) ).
tff(c_72883,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_376,c_72634,c_798,c_72617,c_72690]) ).
tff(c_72884,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_250,c_72883]) ).
tff(c_72885,plain,
( ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_72613]) ).
tff(c_72887,plain,
n11 = '#skF_2',
inference(splitLeft,[status(thm)],[c_72885]) ).
tff(c_72922,plain,
sum('#skF_2',n2) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_72887,c_434]) ).
tff(c_71567,plain,
sum('#skF_1',n11) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_71531,c_512]) ).
tff(c_72892,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_72887,c_71567]) ).
tff(c_72935,plain,
succ('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_72887,c_832]) ).
tff(c_72957,plain,
sum(pred(sum('#skF_1',n12)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_72935,c_274]) ).
tff(c_72958,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_814,c_71570,c_72957]) ).
tff(c_73155,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_668,c_72922,c_816,c_72892,c_72958]) ).
tff(c_73156,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_272,c_73155]) ).
tff(c_73157,plain,
( ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_72885]) ).
tff(c_73159,plain,
n5 = '#skF_2',
inference(splitLeft,[status(thm)],[c_73157]) ).
tff(c_73172,plain,
sum('#skF_2',n12) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_73159,c_606]) ).
tff(c_73165,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_73159,c_71572]) ).
tff(c_71575,plain,
sum('#skF_1',n6) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_71531,c_522]) ).
tff(c_73206,plain,
succ('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_73159,c_844]) ).
tff(c_73241,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_73206,c_274]) ).
tff(c_73242,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_794,c_71575,c_73241]) ).
tff(c_73427,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_372,c_73172,c_796,c_73165,c_73242]) ).
tff(c_73428,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_244,c_73427]) ).
tff(c_73429,plain,
( ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_73157]) ).
tff(c_73431,plain,
n10 = '#skF_2',
inference(splitLeft,[status(thm)],[c_73429]) ).
tff(c_73446,plain,
sum('#skF_2',n1) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_73431,c_468]) ).
tff(c_71548,plain,
sum('#skF_1',n10) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_71531,c_514]) ).
tff(c_73432,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_73431,c_71548]) ).
tff(c_73479,plain,
succ('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_73431,c_834]) ).
tff(c_73501,plain,
sum(pred(sum('#skF_1',n11)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_73479,c_274]) ).
tff(c_73502,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_816,c_71567,c_73501]) ).
tff(c_73699,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_704,c_73446,c_818,c_73432,c_73502]) ).
tff(c_73700,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_246,c_73699]) ).
tff(c_73701,plain,
( ( n9 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_73429]) ).
tff(c_73703,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_73701]) ).
tff(c_73747,plain,
sum('#skF_2',n13) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_73703,c_572]) ).
tff(c_73708,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_73703,c_71575]) ).
tff(c_71536,plain,
sum('#skF_1',n7) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_71531,c_520]) ).
tff(c_73753,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_73703,c_842]) ).
tff(c_73777,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_73753,c_274]) ).
tff(c_73778,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_792,c_71536,c_73777]) ).
tff(c_73971,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_336,c_73747,c_794,c_73708,c_73778]) ).
tff(c_73972,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_270,c_73971]) ).
tff(c_73973,plain,
( ( n7 = '#skF_2' )
| ( '#skF_2' = '#skF_1' )
| ( n9 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_73701]) ).
tff(c_73975,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_73973]) ).
tff(c_74014,plain,
sum(n1,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_73975,c_740]) ).
tff(c_73996,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_73975,c_73975,c_502]) ).
tff(c_73979,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_73975,c_71571]) ).
tff(c_74024,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_73975,c_836]) ).
tff(c_74045,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_74024,c_274]) ).
tff(c_74046,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_818,c_71548,c_74045]) ).
tff(c_74243,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_74014,c_73996,c_820,c_73979,c_74046]) ).
tff(c_74244,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_252,c_74243]) ).
tff(c_74245,plain,
( ( '#skF_2' = '#skF_1' )
| ( n7 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_73973]) ).
tff(c_74247,plain,
n7 = '#skF_2',
inference(splitLeft,[status(thm)],[c_74245]) ).
tff(c_74257,plain,
sum('#skF_2',n14) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_74247,c_538]) ).
tff(c_74253,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_74247,c_71536]) ).
tff(c_71581,plain,
succ(n7) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_71531,c_840]) ).
tff(c_74254,plain,
succ('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_74247,c_71581]) ).
tff(c_74317,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_74254,c_274]) ).
tff(c_74318,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_822,c_71551,c_74317]) ).
tff(c_74515,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_300,c_74257,c_792,c_74253,c_74318]) ).
tff(c_74516,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_264,c_74515]) ).
tff(c_74517,plain,
'#skF_2' = '#skF_1',
inference(splitRight,[status(thm)],[c_74245]) ).
tff(c_74533,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_74517,c_74517,c_74517,c_274]) ).
tff(c_74534,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_776,c_71552,c_822,c_820,c_71571,c_71579,c_71551,c_74533]) ).
tff(c_74536,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258,c_74534]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM375+1.015 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15 % 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
% 0.16/0.37 % Computer : n020.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 3 15:08:37 EDT 2023
% 0.16/0.37 % CPUTime :
% 65.36/50.09 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 66.49/50.87
% 66.49/50.87 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 67.05/51.01
% 67.05/51.01 Inference rules
% 67.05/51.01 ----------------------
% 67.05/51.01 #Ref : 0
% 67.05/51.01 #Sup : 27336
% 67.05/51.01 #Fact : 0
% 67.05/51.01 #Define : 0
% 67.05/51.01 #Split : 255
% 67.05/51.01 #Chain : 0
% 67.05/51.01 #Close : 0
% 67.05/51.01
% 67.05/51.01 Ordering : KBO
% 67.05/51.01
% 67.05/51.01 Simplification rules
% 67.05/51.01 ----------------------
% 67.05/51.01 #Subsume : 2421
% 67.10/51.01 #Demod : 19833
% 67.10/51.01 #Tautology : 27336
% 67.10/51.01 #SimpNegUnit : 256
% 67.10/51.01 #BackRed : 17454
% 67.10/51.01
% 67.10/51.01 #Partial instantiations: 0
% 67.10/51.01 #Strategies tried : 1
% 67.10/51.01
% 67.10/51.01 Timing (in seconds)
% 67.10/51.01 ----------------------
% 67.10/51.02 Preprocessing : 0.77
% 67.10/51.02 Parsing : 0.39
% 67.10/51.02 CNF conversion : 0.06
% 67.10/51.02 Main loop : 48.28
% 67.10/51.02 Inferencing : 14.62
% 67.10/51.02 Reduction : 21.59
% 67.10/51.02 Demodulation : 15.51
% 67.10/51.02 BG Simplification : 0.12
% 67.10/51.02 Subsumption : 9.16
% 67.10/51.02 Abstraction : 0.30
% 67.10/51.02 MUC search : 0.00
% 67.10/51.02 Cooper : 0.00
% 67.10/51.02 Total : 49.98
% 67.10/51.02 Index Insertion : 0.00
% 67.10/51.02 Index Deletion : 0.00
% 67.10/51.02 Index Matching : 0.00
% 67.10/51.02 BG Taut test : 0.00
%------------------------------------------------------------------------------