TSTP Solution File: NUM375+1.020 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM375+1.020 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:51:18 EDT 2023
% Result : Unsatisfiable 209.32s 188.69s
% Output : CNFRefutation 212.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 28
% Syntax : Number of formulae : 5369 (4908 unt; 27 typ; 0 def)
% Number of atoms : 9762 (9321 equ)
% Maximal formula atoms : 757 ( 1 avg)
% Number of connectives : 4712 ( 292 ~;3704 |; 716 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 721 ( 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 : 27 ( 27 usr; 24 con; 0-2 aty)
% Number of variables : 3 (; 0 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sum > #nlpp > succ > pred > n9 > n8 > n7 > n6 > n5 > n4 > n3 > n20 > n2 > n19 > n18 > n17 > n16 > n15 > n14 > n13 > n12 > n11 > n10 > n1 > n0 > #skF_2 > #skF_3 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(n16,type,
n16: $i ).
tff(n12,type,
n12: $i ).
tff(n8,type,
n8: $i ).
tff(n9,type,
n9: $i ).
tff(n3,type,
n3: $i ).
tff(n1,type,
n1: $i ).
tff(n7,type,
n7: $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(n6,type,
n6: $i ).
tff('#skF_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(n17,type,
n17: $i ).
tff(n20,type,
n20: $i ).
tff(n18,type,
n18: $i ).
tff(n11,type,
n11: $i ).
tff(n19,type,
n19: $i ).
tff(n2,type,
n2: $i ).
tff(n5,type,
n5: $i ).
tff(succ,type,
succ: $i > $i ).
tff(pred,type,
pred: $i > $i ).
tff(f_1771,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) = n16 )
& ( succ(n16) = n17 )
& ( succ(n17) = n18 )
& ( succ(n18) = n19 )
& ( succ(n19) = n20 )
& ( succ(n20) = n0 )
& ( pred(n0) = n20 )
& ( pred(n1) = n0 )
& ( pred(n2) = n1 )
& ( pred(n3) = n2 )
& ( pred(n4) = n3 )
& ( pred(n5) = n4 )
& ( pred(n6) = n5 )
& ( pred(n7) = n6 )
& ( pred(n8) = n7 )
& ( pred(n9) = n8 )
& ( pred(n10) = n9 )
& ( pred(n11) = n10 )
& ( pred(n12) = n11 )
& ( pred(n13) = n12 )
& ( pred(n14) = n13 )
& ( pred(n15) = n14 )
& ( pred(n16) = n15 )
& ( pred(n17) = n16 )
& ( pred(n18) = n17 )
& ( pred(n19) = n18 )
& ( pred(n20) = n19 )
& ( sum(n0,n0) = n0 )
& ( sum(n0,n1) = n1 )
& ( sum(n0,n2) = n2 )
& ( sum(n0,n3) = n3 )
& ( sum(n0,n4) = n4 )
& ( sum(n0,n5) = n5 )
& ( sum(n0,n6) = n6 )
& ( sum(n0,n7) = n7 )
& ( sum(n0,n8) = n8 )
& ( sum(n0,n9) = n9 )
& ( sum(n0,n10) = n10 )
& ( sum(n0,n11) = n11 )
& ( sum(n0,n12) = n12 )
& ( sum(n0,n13) = n13 )
& ( sum(n0,n14) = n14 )
& ( sum(n0,n15) = n15 )
& ( sum(n0,n16) = n16 )
& ( sum(n0,n17) = n17 )
& ( sum(n0,n18) = n18 )
& ( sum(n0,n19) = n19 )
& ( sum(n0,n20) = n20 )
& ( sum(n1,n0) = n1 )
& ( sum(n1,n1) = n2 )
& ( sum(n1,n2) = n3 )
& ( sum(n1,n3) = n4 )
& ( sum(n1,n4) = n5 )
& ( sum(n1,n5) = n6 )
& ( sum(n1,n6) = n7 )
& ( sum(n1,n7) = n8 )
& ( sum(n1,n8) = n9 )
& ( sum(n1,n9) = n10 )
& ( sum(n1,n10) = n11 )
& ( sum(n1,n11) = n12 )
& ( sum(n1,n12) = n13 )
& ( sum(n1,n13) = n14 )
& ( sum(n1,n14) = n15 )
& ( sum(n1,n15) = n16 )
& ( sum(n1,n16) = n17 )
& ( sum(n1,n17) = n18 )
& ( sum(n1,n18) = n19 )
& ( sum(n1,n19) = n20 )
& ( sum(n1,n20) = n0 )
& ( sum(n2,n0) = n2 )
& ( sum(n2,n1) = n3 )
& ( sum(n2,n2) = n4 )
& ( sum(n2,n3) = n5 )
& ( sum(n2,n4) = n6 )
& ( sum(n2,n5) = n7 )
& ( sum(n2,n6) = n8 )
& ( sum(n2,n7) = n9 )
& ( sum(n2,n8) = n10 )
& ( sum(n2,n9) = n11 )
& ( sum(n2,n10) = n12 )
& ( sum(n2,n11) = n13 )
& ( sum(n2,n12) = n14 )
& ( sum(n2,n13) = n15 )
& ( sum(n2,n14) = n16 )
& ( sum(n2,n15) = n17 )
& ( sum(n2,n16) = n18 )
& ( sum(n2,n17) = n19 )
& ( sum(n2,n18) = n20 )
& ( sum(n2,n19) = n0 )
& ( sum(n2,n20) = n1 )
& ( sum(n3,n0) = n3 )
& ( sum(n3,n1) = n4 )
& ( sum(n3,n2) = n5 )
& ( sum(n3,n3) = n6 )
& ( sum(n3,n4) = n7 )
& ( sum(n3,n5) = n8 )
& ( sum(n3,n6) = n9 )
& ( sum(n3,n7) = n10 )
& ( sum(n3,n8) = n11 )
& ( sum(n3,n9) = n12 )
& ( sum(n3,n10) = n13 )
& ( sum(n3,n11) = n14 )
& ( sum(n3,n12) = n15 )
& ( sum(n3,n13) = n16 )
& ( sum(n3,n14) = n17 )
& ( sum(n3,n15) = n18 )
& ( sum(n3,n16) = n19 )
& ( sum(n3,n17) = n20 )
& ( sum(n3,n18) = n0 )
& ( sum(n3,n19) = n1 )
& ( sum(n3,n20) = n2 )
& ( sum(n4,n0) = n4 )
& ( sum(n4,n1) = n5 )
& ( sum(n4,n2) = n6 )
& ( sum(n4,n3) = n7 )
& ( sum(n4,n4) = n8 )
& ( sum(n4,n5) = n9 )
& ( sum(n4,n6) = n10 )
& ( sum(n4,n7) = n11 )
& ( sum(n4,n8) = n12 )
& ( sum(n4,n9) = n13 )
& ( sum(n4,n10) = n14 )
& ( sum(n4,n11) = n15 )
& ( sum(n4,n12) = n16 )
& ( sum(n4,n13) = n17 )
& ( sum(n4,n14) = n18 )
& ( sum(n4,n15) = n19 )
& ( sum(n4,n16) = n20 )
& ( sum(n4,n17) = n0 )
& ( sum(n4,n18) = n1 )
& ( sum(n4,n19) = n2 )
& ( sum(n4,n20) = n3 )
& ( sum(n5,n0) = n5 )
& ( sum(n5,n1) = n6 )
& ( sum(n5,n2) = n7 )
& ( sum(n5,n3) = n8 )
& ( sum(n5,n4) = n9 )
& ( sum(n5,n5) = n10 )
& ( sum(n5,n6) = n11 )
& ( sum(n5,n7) = n12 )
& ( sum(n5,n8) = n13 )
& ( sum(n5,n9) = n14 )
& ( sum(n5,n10) = n15 )
& ( sum(n5,n11) = n16 )
& ( sum(n5,n12) = n17 )
& ( sum(n5,n13) = n18 )
& ( sum(n5,n14) = n19 )
& ( sum(n5,n15) = n20 )
& ( sum(n5,n16) = n0 )
& ( sum(n5,n17) = n1 )
& ( sum(n5,n18) = n2 )
& ( sum(n5,n19) = n3 )
& ( sum(n5,n20) = n4 )
& ( sum(n6,n0) = n6 )
& ( sum(n6,n1) = n7 )
& ( sum(n6,n2) = n8 )
& ( sum(n6,n3) = n9 )
& ( sum(n6,n4) = n10 )
& ( sum(n6,n5) = n11 )
& ( sum(n6,n6) = n12 )
& ( sum(n6,n7) = n13 )
& ( sum(n6,n8) = n14 )
& ( sum(n6,n9) = n15 )
& ( sum(n6,n10) = n16 )
& ( sum(n6,n11) = n17 )
& ( sum(n6,n12) = n18 )
& ( sum(n6,n13) = n19 )
& ( sum(n6,n14) = n20 )
& ( sum(n6,n15) = n0 )
& ( sum(n6,n16) = n1 )
& ( sum(n6,n17) = n2 )
& ( sum(n6,n18) = n3 )
& ( sum(n6,n19) = n4 )
& ( sum(n6,n20) = n5 )
& ( sum(n7,n0) = n7 )
& ( sum(n7,n1) = n8 )
& ( sum(n7,n2) = n9 )
& ( sum(n7,n3) = n10 )
& ( sum(n7,n4) = n11 )
& ( sum(n7,n5) = n12 )
& ( sum(n7,n6) = n13 )
& ( sum(n7,n7) = n14 )
& ( sum(n7,n8) = n15 )
& ( sum(n7,n9) = n16 )
& ( sum(n7,n10) = n17 )
& ( sum(n7,n11) = n18 )
& ( sum(n7,n12) = n19 )
& ( sum(n7,n13) = n20 )
& ( sum(n7,n14) = n0 )
& ( sum(n7,n15) = n1 )
& ( sum(n7,n16) = n2 )
& ( sum(n7,n17) = n3 )
& ( sum(n7,n18) = n4 )
& ( sum(n7,n19) = n5 )
& ( sum(n7,n20) = n6 )
& ( sum(n8,n0) = n8 )
& ( sum(n8,n1) = n9 )
& ( sum(n8,n2) = n10 )
& ( sum(n8,n3) = n11 )
& ( sum(n8,n4) = n12 )
& ( sum(n8,n5) = n13 )
& ( sum(n8,n6) = n14 )
& ( sum(n8,n7) = n15 )
& ( sum(n8,n8) = n16 )
& ( sum(n8,n9) = n17 )
& ( sum(n8,n10) = n18 )
& ( sum(n8,n11) = n19 )
& ( sum(n8,n12) = n20 )
& ( sum(n8,n13) = n0 )
& ( sum(n8,n14) = n1 )
& ( sum(n8,n15) = n2 )
& ( sum(n8,n16) = n3 )
& ( sum(n8,n17) = n4 )
& ( sum(n8,n18) = n5 )
& ( sum(n8,n19) = n6 )
& ( sum(n8,n20) = n7 )
& ( sum(n9,n0) = n9 )
& ( sum(n9,n1) = n10 )
& ( sum(n9,n2) = n11 )
& ( sum(n9,n3) = n12 )
& ( sum(n9,n4) = n13 )
& ( sum(n9,n5) = n14 )
& ( sum(n9,n6) = n15 )
& ( sum(n9,n7) = n16 )
& ( sum(n9,n8) = n17 )
& ( sum(n9,n9) = n18 )
& ( sum(n9,n10) = n19 )
& ( sum(n9,n11) = n20 )
& ( sum(n9,n12) = n0 )
& ( sum(n9,n13) = n1 )
& ( sum(n9,n14) = n2 )
& ( sum(n9,n15) = n3 )
& ( sum(n9,n16) = n4 )
& ( sum(n9,n17) = n5 )
& ( sum(n9,n18) = n6 )
& ( sum(n9,n19) = n7 )
& ( sum(n9,n20) = n8 )
& ( sum(n10,n0) = n10 )
& ( sum(n10,n1) = n11 )
& ( sum(n10,n2) = n12 )
& ( sum(n10,n3) = n13 )
& ( sum(n10,n4) = n14 )
& ( sum(n10,n5) = n15 )
& ( sum(n10,n6) = n16 )
& ( sum(n10,n7) = n17 )
& ( sum(n10,n8) = n18 )
& ( sum(n10,n9) = n19 )
& ( sum(n10,n10) = n20 )
& ( sum(n10,n11) = n0 )
& ( sum(n10,n12) = n1 )
& ( sum(n10,n13) = n2 )
& ( sum(n10,n14) = n3 )
& ( sum(n10,n15) = n4 )
& ( sum(n10,n16) = n5 )
& ( sum(n10,n17) = n6 )
& ( sum(n10,n18) = n7 )
& ( sum(n10,n19) = n8 )
& ( sum(n10,n20) = n9 )
& ( sum(n11,n0) = n11 )
& ( sum(n11,n1) = n12 )
& ( sum(n11,n2) = n13 )
& ( sum(n11,n3) = n14 )
& ( sum(n11,n4) = n15 )
& ( sum(n11,n5) = n16 )
& ( sum(n11,n6) = n17 )
& ( sum(n11,n7) = n18 )
& ( sum(n11,n8) = n19 )
& ( sum(n11,n9) = n20 )
& ( sum(n11,n10) = n0 )
& ( sum(n11,n11) = n1 )
& ( sum(n11,n12) = n2 )
& ( sum(n11,n13) = n3 )
& ( sum(n11,n14) = n4 )
& ( sum(n11,n15) = n5 )
& ( sum(n11,n16) = n6 )
& ( sum(n11,n17) = n7 )
& ( sum(n11,n18) = n8 )
& ( sum(n11,n19) = n9 )
& ( sum(n11,n20) = n10 )
& ( sum(n12,n0) = n12 )
& ( sum(n12,n1) = n13 )
& ( sum(n12,n2) = n14 )
& ( sum(n12,n3) = n15 )
& ( sum(n12,n4) = n16 )
& ( sum(n12,n5) = n17 )
& ( sum(n12,n6) = n18 )
& ( sum(n12,n7) = n19 )
& ( sum(n12,n8) = n20 )
& ( sum(n12,n9) = n0 )
& ( sum(n12,n10) = n1 )
& ( sum(n12,n11) = n2 )
& ( sum(n12,n12) = n3 )
& ( sum(n12,n13) = n4 )
& ( sum(n12,n14) = n5 )
& ( sum(n12,n15) = n6 )
& ( sum(n12,n16) = n7 )
& ( sum(n12,n17) = n8 )
& ( sum(n12,n18) = n9 )
& ( sum(n12,n19) = n10 )
& ( sum(n12,n20) = n11 )
& ( sum(n13,n0) = n13 )
& ( sum(n13,n1) = n14 )
& ( sum(n13,n2) = n15 )
& ( sum(n13,n3) = n16 )
& ( sum(n13,n4) = n17 )
& ( sum(n13,n5) = n18 )
& ( sum(n13,n6) = n19 )
& ( sum(n13,n7) = n20 )
& ( sum(n13,n8) = n0 )
& ( sum(n13,n9) = n1 )
& ( sum(n13,n10) = n2 )
& ( sum(n13,n11) = n3 )
& ( sum(n13,n12) = n4 )
& ( sum(n13,n13) = n5 )
& ( sum(n13,n14) = n6 )
& ( sum(n13,n15) = n7 )
& ( sum(n13,n16) = n8 )
& ( sum(n13,n17) = n9 )
& ( sum(n13,n18) = n10 )
& ( sum(n13,n19) = n11 )
& ( sum(n13,n20) = n12 )
& ( sum(n14,n0) = n14 )
& ( sum(n14,n1) = n15 )
& ( sum(n14,n2) = n16 )
& ( sum(n14,n3) = n17 )
& ( sum(n14,n4) = n18 )
& ( sum(n14,n5) = n19 )
& ( sum(n14,n6) = n20 )
& ( sum(n14,n7) = n0 )
& ( sum(n14,n8) = n1 )
& ( sum(n14,n9) = n2 )
& ( sum(n14,n10) = n3 )
& ( sum(n14,n11) = n4 )
& ( sum(n14,n12) = n5 )
& ( sum(n14,n13) = n6 )
& ( sum(n14,n14) = n7 )
& ( sum(n14,n15) = n8 )
& ( sum(n14,n16) = n9 )
& ( sum(n14,n17) = n10 )
& ( sum(n14,n18) = n11 )
& ( sum(n14,n19) = n12 )
& ( sum(n14,n20) = n13 )
& ( sum(n15,n0) = n15 )
& ( sum(n15,n1) = n16 )
& ( sum(n15,n2) = n17 )
& ( sum(n15,n3) = n18 )
& ( sum(n15,n4) = n19 )
& ( sum(n15,n5) = n20 )
& ( sum(n15,n6) = n0 )
& ( sum(n15,n7) = n1 )
& ( sum(n15,n8) = n2 )
& ( sum(n15,n9) = n3 )
& ( sum(n15,n10) = n4 )
& ( sum(n15,n11) = n5 )
& ( sum(n15,n12) = n6 )
& ( sum(n15,n13) = n7 )
& ( sum(n15,n14) = n8 )
& ( sum(n15,n15) = n9 )
& ( sum(n15,n16) = n10 )
& ( sum(n15,n17) = n11 )
& ( sum(n15,n18) = n12 )
& ( sum(n15,n19) = n13 )
& ( sum(n15,n20) = n14 )
& ( sum(n16,n0) = n16 )
& ( sum(n16,n1) = n17 )
& ( sum(n16,n2) = n18 )
& ( sum(n16,n3) = n19 )
& ( sum(n16,n4) = n20 )
& ( sum(n16,n5) = n0 )
& ( sum(n16,n6) = n1 )
& ( sum(n16,n7) = n2 )
& ( sum(n16,n8) = n3 )
& ( sum(n16,n9) = n4 )
& ( sum(n16,n10) = n5 )
& ( sum(n16,n11) = n6 )
& ( sum(n16,n12) = n7 )
& ( sum(n16,n13) = n8 )
& ( sum(n16,n14) = n9 )
& ( sum(n16,n15) = n10 )
& ( sum(n16,n16) = n11 )
& ( sum(n16,n17) = n12 )
& ( sum(n16,n18) = n13 )
& ( sum(n16,n19) = n14 )
& ( sum(n16,n20) = n15 )
& ( sum(n17,n0) = n17 )
& ( sum(n17,n1) = n18 )
& ( sum(n17,n2) = n19 )
& ( sum(n17,n3) = n20 )
& ( sum(n17,n4) = n0 )
& ( sum(n17,n5) = n1 )
& ( sum(n17,n6) = n2 )
& ( sum(n17,n7) = n3 )
& ( sum(n17,n8) = n4 )
& ( sum(n17,n9) = n5 )
& ( sum(n17,n10) = n6 )
& ( sum(n17,n11) = n7 )
& ( sum(n17,n12) = n8 )
& ( sum(n17,n13) = n9 )
& ( sum(n17,n14) = n10 )
& ( sum(n17,n15) = n11 )
& ( sum(n17,n16) = n12 )
& ( sum(n17,n17) = n13 )
& ( sum(n17,n18) = n14 )
& ( sum(n17,n19) = n15 )
& ( sum(n17,n20) = n16 )
& ( sum(n18,n0) = n18 )
& ( sum(n18,n1) = n19 )
& ( sum(n18,n2) = n20 )
& ( sum(n18,n3) = n0 )
& ( sum(n18,n4) = n1 )
& ( sum(n18,n5) = n2 )
& ( sum(n18,n6) = n3 )
& ( sum(n18,n7) = n4 )
& ( sum(n18,n8) = n5 )
& ( sum(n18,n9) = n6 )
& ( sum(n18,n10) = n7 )
& ( sum(n18,n11) = n8 )
& ( sum(n18,n12) = n9 )
& ( sum(n18,n13) = n10 )
& ( sum(n18,n14) = n11 )
& ( sum(n18,n15) = n12 )
& ( sum(n18,n16) = n13 )
& ( sum(n18,n17) = n14 )
& ( sum(n18,n18) = n15 )
& ( sum(n18,n19) = n16 )
& ( sum(n18,n20) = n17 )
& ( sum(n19,n0) = n19 )
& ( sum(n19,n1) = n20 )
& ( sum(n19,n2) = n0 )
& ( sum(n19,n3) = n1 )
& ( sum(n19,n4) = n2 )
& ( sum(n19,n5) = n3 )
& ( sum(n19,n6) = n4 )
& ( sum(n19,n7) = n5 )
& ( sum(n19,n8) = n6 )
& ( sum(n19,n9) = n7 )
& ( sum(n19,n10) = n8 )
& ( sum(n19,n11) = n9 )
& ( sum(n19,n12) = n10 )
& ( sum(n19,n13) = n11 )
& ( sum(n19,n14) = n12 )
& ( sum(n19,n15) = n13 )
& ( sum(n19,n16) = n14 )
& ( sum(n19,n17) = n15 )
& ( sum(n19,n18) = n16 )
& ( sum(n19,n19) = n17 )
& ( sum(n19,n20) = n18 )
& ( sum(n20,n0) = n20 )
& ( sum(n20,n1) = n0 )
& ( sum(n20,n2) = n1 )
& ( sum(n20,n3) = n2 )
& ( sum(n20,n4) = n3 )
& ( sum(n20,n5) = n4 )
& ( sum(n20,n6) = n5 )
& ( sum(n20,n7) = n6 )
& ( sum(n20,n8) = n7 )
& ( sum(n20,n9) = n8 )
& ( sum(n20,n10) = n9 )
& ( sum(n20,n11) = n10 )
& ( sum(n20,n12) = n11 )
& ( sum(n20,n13) = n12 )
& ( sum(n20,n14) = n13 )
& ( sum(n20,n15) = n14 )
& ( sum(n20,n16) = n15 )
& ( sum(n20,n17) = n16 )
& ( sum(n20,n18) = n17 )
& ( sum(n20,n19) = n18 )
& ( sum(n20,n20) = n19 )
& ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 )
| ( X = n6 )
| ( X = n7 )
| ( X = n8 )
| ( X = n9 )
| ( X = n10 )
| ( X = n11 )
| ( X = n12 )
| ( X = n13 )
| ( X = n14 )
| ( X = n15 )
| ( X = n16 )
| ( X = n17 )
| ( X = n18 )
| ( X = n19 )
| ( X = n20 ) )
& ( ( Y = n0 )
| ( Y = n1 )
| ( Y = n2 )
| ( Y = n3 )
| ( Y = n4 )
| ( Y = n5 )
| ( Y = n6 )
| ( Y = n7 )
| ( Y = n8 )
| ( Y = n9 )
| ( Y = n10 )
| ( Y = n11 )
| ( Y = n12 )
| ( Y = n13 )
| ( Y = n14 )
| ( Y = n15 )
| ( Y = n16 )
| ( Y = n17 )
| ( Y = n18 )
| ( Y = n19 )
| ( Y = n20 ) )
& ( 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 )
& ( Z != n16 )
& ( Z != n17 )
& ( Z != n18 )
& ( Z != n19 )
& ( Z != n20 )
& ( n0 != n1 )
& ( n0 != n2 )
& ( n0 != n3 )
& ( n0 != n4 )
& ( n0 != n5 )
& ( n0 != n6 )
& ( n0 != n7 )
& ( n0 != n8 )
& ( n0 != n9 )
& ( n0 != n10 )
& ( n0 != n11 )
& ( n0 != n12 )
& ( n0 != n13 )
& ( n0 != n14 )
& ( n0 != n15 )
& ( n0 != n16 )
& ( n0 != n17 )
& ( n0 != n18 )
& ( n0 != n19 )
& ( n0 != n20 )
& ( n1 != n2 )
& ( n1 != n3 )
& ( n1 != n4 )
& ( n1 != n5 )
& ( n1 != n6 )
& ( n1 != n7 )
& ( n1 != n8 )
& ( n1 != n9 )
& ( n1 != n10 )
& ( n1 != n11 )
& ( n1 != n12 )
& ( n1 != n13 )
& ( n1 != n14 )
& ( n1 != n15 )
& ( n1 != n16 )
& ( n1 != n17 )
& ( n1 != n18 )
& ( n1 != n19 )
& ( n1 != n20 )
& ( n2 != n3 )
& ( n2 != n4 )
& ( n2 != n5 )
& ( n2 != n6 )
& ( n2 != n7 )
& ( n2 != n8 )
& ( n2 != n9 )
& ( n2 != n10 )
& ( n2 != n11 )
& ( n2 != n12 )
& ( n2 != n13 )
& ( n2 != n14 )
& ( n2 != n15 )
& ( n2 != n16 )
& ( n2 != n17 )
& ( n2 != n18 )
& ( n2 != n19 )
& ( n2 != n20 )
& ( n3 != n4 )
& ( n3 != n5 )
& ( n3 != n6 )
& ( n3 != n7 )
& ( n3 != n8 )
& ( n3 != n9 )
& ( n3 != n10 )
& ( n3 != n11 )
& ( n3 != n12 )
& ( n3 != n13 )
& ( n3 != n14 )
& ( n3 != n15 )
& ( n3 != n16 )
& ( n3 != n17 )
& ( n3 != n18 )
& ( n3 != n19 )
& ( n3 != n20 )
& ( n4 != n5 )
& ( n4 != n6 )
& ( n4 != n7 )
& ( n4 != n8 )
& ( n4 != n9 )
& ( n4 != n10 )
& ( n4 != n11 )
& ( n4 != n12 )
& ( n4 != n13 )
& ( n4 != n14 )
& ( n4 != n15 )
& ( n4 != n16 )
& ( n4 != n17 )
& ( n4 != n18 )
& ( n4 != n19 )
& ( n4 != n20 )
& ( n5 != n6 )
& ( n5 != n7 )
& ( n5 != n8 )
& ( n5 != n9 )
& ( n5 != n10 )
& ( n5 != n11 )
& ( n5 != n12 )
& ( n5 != n13 )
& ( n5 != n14 )
& ( n5 != n15 )
& ( n5 != n16 )
& ( n5 != n17 )
& ( n5 != n18 )
& ( n5 != n19 )
& ( n5 != n20 )
& ( n6 != n7 )
& ( n6 != n8 )
& ( n6 != n9 )
& ( n6 != n10 )
& ( n6 != n11 )
& ( n6 != n12 )
& ( n6 != n13 )
& ( n6 != n14 )
& ( n6 != n15 )
& ( n6 != n16 )
& ( n6 != n17 )
& ( n6 != n18 )
& ( n6 != n19 )
& ( n6 != n20 )
& ( n7 != n8 )
& ( n7 != n9 )
& ( n7 != n10 )
& ( n7 != n11 )
& ( n7 != n12 )
& ( n7 != n13 )
& ( n7 != n14 )
& ( n7 != n15 )
& ( n7 != n16 )
& ( n7 != n17 )
& ( n7 != n18 )
& ( n7 != n19 )
& ( n7 != n20 )
& ( n8 != n9 )
& ( n8 != n10 )
& ( n8 != n11 )
& ( n8 != n12 )
& ( n8 != n13 )
& ( n8 != n14 )
& ( n8 != n15 )
& ( n8 != n16 )
& ( n8 != n17 )
& ( n8 != n18 )
& ( n8 != n19 )
& ( n8 != n20 )
& ( n9 != n10 )
& ( n9 != n11 )
& ( n9 != n12 )
& ( n9 != n13 )
& ( n9 != n14 )
& ( n9 != n15 )
& ( n9 != n16 )
& ( n9 != n17 )
& ( n9 != n18 )
& ( n9 != n19 )
& ( n9 != n20 )
& ( n10 != n11 )
& ( n10 != n12 )
& ( n10 != n13 )
& ( n10 != n14 )
& ( n10 != n15 )
& ( n10 != n16 )
& ( n10 != n17 )
& ( n10 != n18 )
& ( n10 != n19 )
& ( n10 != n20 )
& ( n11 != n12 )
& ( n11 != n13 )
& ( n11 != n14 )
& ( n11 != n15 )
& ( n11 != n16 )
& ( n11 != n17 )
& ( n11 != n18 )
& ( n11 != n19 )
& ( n11 != n20 )
& ( n12 != n13 )
& ( n12 != n14 )
& ( n12 != n15 )
& ( n12 != n16 )
& ( n12 != n17 )
& ( n12 != n18 )
& ( n12 != n19 )
& ( n12 != n20 )
& ( n13 != n14 )
& ( n13 != n15 )
& ( n13 != n16 )
& ( n13 != n17 )
& ( n13 != n18 )
& ( n13 != n19 )
& ( n13 != n20 )
& ( n14 != n15 )
& ( n14 != n16 )
& ( n14 != n17 )
& ( n14 != n18 )
& ( n14 != n19 )
& ( n14 != n20 )
& ( n15 != n16 )
& ( n15 != n17 )
& ( n15 != n18 )
& ( n15 != n19 )
& ( n15 != n20 )
& ( n16 != n17 )
& ( n16 != n18 )
& ( n16 != n19 )
& ( n16 != n20 )
& ( n17 != n18 )
& ( n17 != n19 )
& ( n17 != n20 )
& ( n18 != n19 )
& ( n18 != n20 )
& ( n19 != n20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).
tff(c_448,plain,
n7 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_494,plain,
sum(n20,n8) = n7,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1392,plain,
pred(n0) = n20,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_444,plain,
n9 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1332,plain,
sum(n0,n9) = n9,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1390,plain,
pred(n1) = n0,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_452,plain,
n5 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_538,plain,
sum(n19,n7) = n5,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1352,plain,
pred(n20) = n19,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_440,plain,
n11 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_438,plain,
n12 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_446,plain,
n8 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_434,plain,
n14 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_450,plain,
n6 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_430,plain,
n16 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_454,plain,
n4 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_426,plain,
n18 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_458,plain,
n2 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_422,plain,
n20 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_462,plain,
n0 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_460,plain,
n1 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_424,plain,
n19 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_540,plain,
sum(n19,n6) = n4,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_496,plain,
sum(n20,n7) = n6,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_436,plain,
n13 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_586,plain,
sum(n18,n4) = n1,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1354,plain,
pred(n19) = n18,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_456,plain,
n3 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_542,plain,
sum(n19,n5) = n3,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1238,plain,
sum(n2,n14) = n16,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1386,plain,
pred(n3) = n2,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1194,plain,
sum(n3,n15) = n18,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_632,plain,
sum(n17,n2) = n19,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1356,plain,
pred(n18) = n17,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_588,plain,
sum(n18,n3) = n0,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1192,plain,
sum(n3,n16) = n19,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_678,plain,
sum(n16,n0) = n16,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1146,plain,
sum(n4,n18) = n1,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1382,plain,
pred(n5) = n4,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1102,plain,
sum(n5,n19) = n3,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_682,plain,
sum(n15,n19) = n13,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1100,plain,
sum(n5,n20) = n4,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1380,plain,
pred(n6) = n5,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1098,plain,
sum(n6,n0) = n6,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_684,plain,
sum(n15,n18) = n12,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1096,plain,
sum(n6,n1) = n7,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_774,plain,
sum(n13,n15) = n7,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1006,plain,
sum(n8,n4) = n12,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_820,plain,
sum(n12,n13) = n4,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1366,plain,
pred(n13) = n12,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_776,plain,
sum(n13,n14) = n6,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1004,plain,
sum(n8,n5) = n13,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1374,plain,
pred(n9) = n8,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_432,plain,
n15 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_960,plain,
sum(n9,n6) = n15,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_958,plain,
sum(n9,n7) = n16,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_466,plain,
( ( n20 = '#skF_2' )
| ( n19 = '#skF_2' )
| ( n18 = '#skF_2' )
| ( n17 = '#skF_2' )
| ( n16 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' )
| ( n1 = '#skF_2' )
| ( n0 = '#skF_2' ) ),
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3371,plain,
n0 = '#skF_2',
inference(splitLeft,[status(thm)],[c_466]) ).
tff(c_3457,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_462]) ).
tff(c_428,plain,
n17 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_442,plain,
n10 != '#skF_3',
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_468,plain,
( ( n20 = '#skF_1' )
| ( n19 = '#skF_1' )
| ( n18 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' )
| ( n0 = '#skF_1' ) ),
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3462,plain,
( ( n20 = '#skF_1' )
| ( n19 = '#skF_1' )
| ( n18 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_468]) ).
tff(c_3463,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_3462]) ).
tff(c_1310,plain,
sum(n0,n20) = n20,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3428,plain,
sum('#skF_2',n20) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1310]) ).
tff(c_3590,plain,
sum('#skF_1',n20) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_3463,c_3428]) ).
tff(c_3433,plain,
pred(n1) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1390]) ).
tff(c_3505,plain,
pred(n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_3463,c_3433]) ).
tff(c_1348,plain,
sum(n0,n1) = n1,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3374,plain,
sum('#skF_2',n1) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1348]) ).
tff(c_3700,plain,
sum('#skF_1',n1) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_3463,c_3374]) ).
tff(c_3434,plain,
pred('#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1392]) ).
tff(c_3500,plain,
pred('#skF_1') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_3463,c_3434]) ).
tff(c_1350,plain,
sum(n0,n0) = n0,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3422,plain,
sum('#skF_2','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_3371,c_3371,c_1350]) ).
tff(c_3625,plain,
sum('#skF_1','#skF_1') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_3463,c_3463,c_3463,c_3422]) ).
tff(c_1434,plain,
succ(n0) = n1,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3436,plain,
succ('#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1434]) ).
tff(c_3510,plain,
succ('#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_3463,c_3436]) ).
tff(c_464,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_1771]) ).
tff(c_3473,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_3463,c_3463,c_3463,c_464]) ).
tff(c_3820,plain,
n20 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3590,c_3505,c_3700,c_3590,c_3500,c_3625,c_3510,c_3473]) ).
tff(c_3821,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422,c_3820]) ).
tff(c_3822,plain,
( ( n1 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n18 = '#skF_1' )
| ( n19 = '#skF_1' )
| ( n20 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_3462]) ).
tff(c_4089,plain,
n20 = '#skF_1',
inference(splitLeft,[status(thm)],[c_3822]) ).
tff(c_472,plain,
sum(n20,n19) = n18,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_4106,plain,
sum('#skF_1',n19) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_4089,c_472]) ).
tff(c_1312,plain,
sum(n0,n19) = n19,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3419,plain,
sum('#skF_2',n19) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1312]) ).
tff(c_4154,plain,
pred('#skF_1') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_4089,c_1352]) ).
tff(c_510,plain,
sum(n20,n0) = n20,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3412,plain,
sum(n20,'#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_510]) ).
tff(c_4092,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_4089,c_4089,c_3412]) ).
tff(c_4094,plain,
pred('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_4089,c_3434]) ).
tff(c_508,plain,
sum(n20,n1) = n0,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3424,plain,
sum(n20,n1) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_508]) ).
tff(c_4091,plain,
sum('#skF_1',n1) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_4089,c_3424]) ).
tff(c_3828,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_3436,c_464]) ).
tff(c_4423,plain,
sum(pred('#skF_2'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4091,c_3828]) ).
tff(c_4424,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4094,c_4423]) ).
tff(c_4437,plain,
n18 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4106,c_3419,c_4154,c_4092,c_4424]) ).
tff(c_4438,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426,c_4437]) ).
tff(c_4439,plain,
( ( n19 = '#skF_1' )
| ( n18 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_3822]) ).
tff(c_4441,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_4439]) ).
tff(c_4508,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_4441,c_460]) ).
tff(c_1308,plain,
sum(n1,n0) = n1,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3399,plain,
sum(n1,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1308]) ).
tff(c_4446,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_4441,c_4441,c_3399]) ).
tff(c_4448,plain,
pred('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_4441,c_3433]) ).
tff(c_1388,plain,
pred(n2) = n1,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_4506,plain,
pred(n2) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_4441,c_1388]) ).
tff(c_1306,plain,
sum(n1,n1) = n2,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_4464,plain,
sum('#skF_1','#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_4441,c_4441,c_1306]) ).
tff(c_4442,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_4441,c_3828]) ).
tff(c_4788,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_4446,c_3422,c_4448,c_4446,c_4506,c_4464,c_4442]) ).
tff(c_4789,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4508,c_4788]) ).
tff(c_4790,plain,
( ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n18 = '#skF_1' )
| ( n19 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_4439]) ).
tff(c_4792,plain,
n19 = '#skF_1',
inference(splitLeft,[status(thm)],[c_4790]) ).
tff(c_516,plain,
sum(n19,n18) = n16,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_4830,plain,
sum('#skF_1',n18) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_4792,c_516]) ).
tff(c_1314,plain,
sum(n0,n18) = n18,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3390,plain,
sum('#skF_2',n18) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1314]) ).
tff(c_4856,plain,
pred('#skF_1') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_4792,c_1354]) ).
tff(c_552,plain,
sum(n19,n0) = n19,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3381,plain,
sum(n19,'#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_552]) ).
tff(c_4796,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_4792,c_4792,c_3381]) ).
tff(c_4857,plain,
pred(n20) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_4792,c_1352]) ).
tff(c_550,plain,
sum(n19,n1) = n20,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_4809,plain,
sum('#skF_1',n1) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_4792,c_550]) ).
tff(c_5026,plain,
sum(pred(n20),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4809,c_3828]) ).
tff(c_5027,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4857,c_5026]) ).
tff(c_5140,plain,
n16 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4830,c_3390,c_4856,c_4796,c_5027]) ).
tff(c_5141,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430,c_5140]) ).
tff(c_5142,plain,
( ( n18 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_4790]) ).
tff(c_5144,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_5142]) ).
tff(c_1264,plain,
sum(n2,n1) = n3,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_5174,plain,
sum('#skF_1',n1) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_5144,c_1264]) ).
tff(c_5207,plain,
pred('#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_5144,c_1388]) ).
tff(c_1266,plain,
sum(n2,n0) = n2,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3373,plain,
sum(n2,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1266]) ).
tff(c_5148,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_5144,c_5144,c_3373]) ).
tff(c_5206,plain,
pred(n3) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_5144,c_1386]) ).
tff(c_5310,plain,
sum(pred(n3),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5174,c_3828]) ).
tff(c_5311,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5206,c_5310]) ).
tff(c_5492,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5174,c_3374,c_5207,c_5148,c_5311]) ).
tff(c_5493,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_456,c_5492]) ).
tff(c_5494,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n18 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_5142]) ).
tff(c_5496,plain,
n18 = '#skF_1',
inference(splitLeft,[status(thm)],[c_5494]) ).
tff(c_560,plain,
sum(n18,n17) = n14,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_5511,plain,
sum('#skF_1',n17) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_5496,c_560]) ).
tff(c_1316,plain,
sum(n0,n17) = n17,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3416,plain,
sum('#skF_2',n17) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1316]) ).
tff(c_5561,plain,
pred('#skF_1') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_5496,c_1356]) ).
tff(c_594,plain,
sum(n18,n0) = n18,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3413,plain,
sum(n18,'#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_594]) ).
tff(c_5498,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_5496,c_5496,c_3413]) ).
tff(c_5560,plain,
pred(n19) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_5496,c_1354]) ).
tff(c_592,plain,
sum(n18,n1) = n19,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_5541,plain,
sum('#skF_1',n1) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_5496,c_592]) ).
tff(c_5706,plain,
sum(pred(n19),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5541,c_3828]) ).
tff(c_5707,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5560,c_5706]) ).
tff(c_5844,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5511,c_3416,c_5561,c_5498,c_5707]) ).
tff(c_5845,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_434,c_5844]) ).
tff(c_5846,plain,
( ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_5494]) ).
tff(c_5848,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_5846]) ).
tff(c_1220,plain,
sum(n3,n2) = n5,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_5902,plain,
sum('#skF_1',n2) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_5848,c_1220]) ).
tff(c_1346,plain,
sum(n0,n2) = n2,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3421,plain,
sum('#skF_2',n2) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1346]) ).
tff(c_5910,plain,
pred('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_5848,c_1386]) ).
tff(c_1224,plain,
sum(n3,n0) = n3,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3425,plain,
sum(n3,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1224]) ).
tff(c_5851,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_5848,c_5848,c_3425]) ).
tff(c_1384,plain,
pred(n4) = n3,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_5911,plain,
pred(n4) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_5848,c_1384]) ).
tff(c_1222,plain,
sum(n3,n1) = n4,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_5887,plain,
sum('#skF_1',n1) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_5848,c_1222]) ).
tff(c_6174,plain,
sum(pred(n4),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5887,c_3828]) ).
tff(c_6175,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5911,c_6174]) ).
tff(c_6196,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_5902,c_3421,c_5910,c_5851,c_6175]) ).
tff(c_6197,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_452,c_6196]) ).
tff(c_6198,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_5846]) ).
tff(c_6200,plain,
n17 = '#skF_1',
inference(splitLeft,[status(thm)],[c_6198]) ).
tff(c_604,plain,
sum(n17,n16) = n12,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_6250,plain,
sum('#skF_1',n16) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_6200,c_604]) ).
tff(c_1318,plain,
sum(n0,n16) = n16,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3417,plain,
sum('#skF_2',n16) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1318]) ).
tff(c_1358,plain,
pred(n17) = n16,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_6263,plain,
pred('#skF_1') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_6200,c_1358]) ).
tff(c_636,plain,
sum(n17,n0) = n17,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3410,plain,
sum(n17,'#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_636]) ).
tff(c_6204,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_6200,c_6200,c_3410]) ).
tff(c_6265,plain,
pred(n18) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_6200,c_1356]) ).
tff(c_634,plain,
sum(n17,n1) = n18,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_6236,plain,
sum('#skF_1',n1) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_6200,c_634]) ).
tff(c_6438,plain,
sum(pred(n18),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_6236,c_3828]) ).
tff(c_6439,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_6265,c_6438]) ).
tff(c_6548,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_6250,c_3417,c_6263,c_6204,c_6439]) ).
tff(c_6549,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_438,c_6548]) ).
tff(c_6550,plain,
( ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_6198]) ).
tff(c_6552,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_6550]) ).
tff(c_1176,plain,
sum(n4,n3) = n7,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_6598,plain,
sum('#skF_1',n3) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_6552,c_1176]) ).
tff(c_1344,plain,
sum(n0,n3) = n3,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3408,plain,
sum('#skF_2',n3) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1344]) ).
tff(c_6616,plain,
pred('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_6552,c_1384]) ).
tff(c_1182,plain,
sum(n4,n0) = n4,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3379,plain,
sum(n4,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1182]) ).
tff(c_6555,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_6552,c_6552,c_3379]) ).
tff(c_6614,plain,
pred(n5) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_6552,c_1382]) ).
tff(c_1180,plain,
sum(n4,n1) = n5,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_6571,plain,
sum('#skF_1',n1) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_6552,c_1180]) ).
tff(c_6794,plain,
sum(pred(n5),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_6571,c_3828]) ).
tff(c_6795,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_6614,c_6794]) ).
tff(c_6900,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_6598,c_3408,c_6616,c_6555,c_6795]) ).
tff(c_6901,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_448,c_6900]) ).
tff(c_6902,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_6550]) ).
tff(c_6904,plain,
n16 = '#skF_1',
inference(splitLeft,[status(thm)],[c_6902]) ).
tff(c_648,plain,
sum(n16,n15) = n10,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_6952,plain,
sum('#skF_1',n15) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_6904,c_648]) ).
tff(c_1320,plain,
sum(n0,n15) = n15,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3380,plain,
sum('#skF_2',n15) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1320]) ).
tff(c_1360,plain,
pred(n16) = n15,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_6967,plain,
pred('#skF_1') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_6904,c_1360]) ).
tff(c_3406,plain,
sum(n16,'#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_678]) ).
tff(c_6908,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_6904,c_6904,c_3406]) ).
tff(c_6968,plain,
pred(n17) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_6904,c_1358]) ).
tff(c_676,plain,
sum(n16,n1) = n17,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_6939,plain,
sum('#skF_1',n1) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_6904,c_676]) ).
tff(c_7154,plain,
sum(pred(n17),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_6939,c_3828]) ).
tff(c_7155,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_6968,c_7154]) ).
tff(c_7252,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_6952,c_3380,c_6967,c_6908,c_7155]) ).
tff(c_7253,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_442,c_7252]) ).
tff(c_7254,plain,
( ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_6902]) ).
tff(c_7256,plain,
n5 = '#skF_1',
inference(splitLeft,[status(thm)],[c_7254]) ).
tff(c_1132,plain,
sum(n5,n4) = n9,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_7279,plain,
sum('#skF_1',n4) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_7256,c_1132]) ).
tff(c_1342,plain,
sum(n0,n4) = n4,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3409,plain,
sum('#skF_2',n4) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1342]) ).
tff(c_7319,plain,
pred('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_7256,c_1382]) ).
tff(c_1140,plain,
sum(n5,n0) = n5,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3386,plain,
sum(n5,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1140]) ).
tff(c_7258,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_7256,c_7256,c_3386]) ).
tff(c_7321,plain,
pred(n6) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_7256,c_1380]) ).
tff(c_1138,plain,
sum(n5,n1) = n6,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_7278,plain,
sum('#skF_1',n1) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_7256,c_1138]) ).
tff(c_7514,plain,
sum(pred(n6),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_7278,c_3828]) ).
tff(c_7515,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_7321,c_7514]) ).
tff(c_7604,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_7279,c_3409,c_7319,c_7258,c_7515]) ).
tff(c_7605,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_444,c_7604]) ).
tff(c_7606,plain,
( ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_7254]) ).
tff(c_7608,plain,
n15 = '#skF_1',
inference(splitLeft,[status(thm)],[c_7606]) ).
tff(c_692,plain,
sum(n15,n14) = n8,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_7652,plain,
sum('#skF_1',n14) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_7608,c_692]) ).
tff(c_1322,plain,
sum(n0,n14) = n14,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3432,plain,
sum('#skF_2',n14) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1322]) ).
tff(c_1362,plain,
pred(n15) = n14,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_7670,plain,
pred('#skF_1') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_7608,c_1362]) ).
tff(c_720,plain,
sum(n15,n0) = n15,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3426,plain,
sum(n15,'#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_720]) ).
tff(c_7612,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_7608,c_7608,c_3426]) ).
tff(c_7671,plain,
pred(n16) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_7608,c_1360]) ).
tff(c_718,plain,
sum(n15,n1) = n16,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_7640,plain,
sum('#skF_1',n1) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_7608,c_718]) ).
tff(c_7906,plain,
sum(pred(n16),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_7640,c_3828]) ).
tff(c_7907,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_7671,c_7906]) ).
tff(c_7956,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_7652,c_3432,c_7670,c_7612,c_7907]) ).
tff(c_7957,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_446,c_7956]) ).
tff(c_7958,plain,
( ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_7606]) ).
tff(c_7960,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_7958]) ).
tff(c_1088,plain,
sum(n6,n5) = n11,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_8018,plain,
sum('#skF_1',n5) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_7960,c_1088]) ).
tff(c_1340,plain,
sum(n0,n5) = n5,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3430,plain,
sum('#skF_2',n5) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1340]) ).
tff(c_8025,plain,
pred('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_7960,c_1380]) ).
tff(c_3391,plain,
sum(n6,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1098]) ).
tff(c_7964,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_7960,c_7960,c_3391]) ).
tff(c_1378,plain,
pred(n7) = n6,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_8023,plain,
pred(n7) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_7960,c_1378]) ).
tff(c_8002,plain,
sum('#skF_1',n1) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_7960,c_1096]) ).
tff(c_8222,plain,
sum(pred(n7),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_8002,c_3828]) ).
tff(c_8223,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_8023,c_8222]) ).
tff(c_8308,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_8018,c_3430,c_8025,c_7964,c_8223]) ).
tff(c_8309,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_440,c_8308]) ).
tff(c_8310,plain,
( ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_7958]) ).
tff(c_8312,plain,
n14 = '#skF_1',
inference(splitLeft,[status(thm)],[c_8310]) ).
tff(c_736,plain,
sum(n14,n13) = n6,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_8322,plain,
sum('#skF_1',n13) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_8312,c_736]) ).
tff(c_1324,plain,
sum(n0,n13) = n13,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3431,plain,
sum('#skF_2',n13) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1324]) ).
tff(c_1364,plain,
pred(n14) = n13,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_8375,plain,
pred('#skF_1') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_8312,c_1364]) ).
tff(c_762,plain,
sum(n14,n0) = n14,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3389,plain,
sum(n14,'#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_762]) ).
tff(c_8314,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_8312,c_8312,c_3389]) ).
tff(c_8374,plain,
pred(n15) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_8312,c_1362]) ).
tff(c_760,plain,
sum(n14,n1) = n15,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_8338,plain,
sum('#skF_1',n1) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_8312,c_760]) ).
tff(c_8438,plain,
sum(pred(n15),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_8338,c_3828]) ).
tff(c_8439,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_8374,c_8438]) ).
tff(c_8660,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_8322,c_3431,c_8375,c_8314,c_8439]) ).
tff(c_8661,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_450,c_8660]) ).
tff(c_8662,plain,
( ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_8310]) ).
tff(c_8664,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_8662]) ).
tff(c_1044,plain,
sum(n7,n6) = n13,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_8683,plain,
sum('#skF_1',n6) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_8664,c_1044]) ).
tff(c_1338,plain,
sum(n0,n6) = n6,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3384,plain,
sum('#skF_2',n6) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1338]) ).
tff(c_8726,plain,
pred('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_8664,c_1378]) ).
tff(c_1056,plain,
sum(n7,n0) = n7,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3396,plain,
sum(n7,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1056]) ).
tff(c_8667,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_8664,c_8664,c_3396]) ).
tff(c_1376,plain,
pred(n8) = n7,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_8728,plain,
pred(n8) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_8664,c_1376]) ).
tff(c_1054,plain,
sum(n7,n1) = n8,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_8703,plain,
sum('#skF_1',n1) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_8664,c_1054]) ).
tff(c_8902,plain,
sum(pred(n8),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_8703,c_3828]) ).
tff(c_8903,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_8728,c_8902]) ).
tff(c_9012,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_8683,c_3384,c_8726,c_8667,c_8903]) ).
tff(c_9013,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_436,c_9012]) ).
tff(c_9014,plain,
( ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_8662]) ).
tff(c_9016,plain,
n13 = '#skF_1',
inference(splitLeft,[status(thm)],[c_9014]) ).
tff(c_780,plain,
sum(n13,n12) = n4,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_9032,plain,
sum('#skF_1',n12) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_9016,c_780]) ).
tff(c_1326,plain,
sum(n0,n12) = n12,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3385,plain,
sum('#skF_2',n12) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1326]) ).
tff(c_9081,plain,
pred('#skF_1') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_9016,c_1366]) ).
tff(c_804,plain,
sum(n13,n0) = n13,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3401,plain,
sum(n13,'#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_804]) ).
tff(c_9020,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_9016,c_9016,c_3401]) ).
tff(c_9079,plain,
pred(n14) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_9016,c_1364]) ).
tff(c_802,plain,
sum(n13,n1) = n14,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_9057,plain,
sum('#skF_1',n1) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_9016,c_802]) ).
tff(c_9274,plain,
sum(pred(n14),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_9057,c_3828]) ).
tff(c_9275,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_9079,c_9274]) ).
tff(c_9364,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_9032,c_3385,c_9081,c_9020,c_9275]) ).
tff(c_9365,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_454,c_9364]) ).
tff(c_9366,plain,
( ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_9014]) ).
tff(c_9368,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_9366]) ).
tff(c_1000,plain,
sum(n8,n7) = n15,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_9392,plain,
sum('#skF_1',n7) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_9368,c_1000]) ).
tff(c_1336,plain,
sum(n0,n7) = n7,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3397,plain,
sum('#skF_2',n7) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1336]) ).
tff(c_9431,plain,
pred('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_9368,c_1376]) ).
tff(c_1014,plain,
sum(n8,n0) = n8,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3388,plain,
sum(n8,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1014]) ).
tff(c_9369,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_9368,c_9368,c_3388]) ).
tff(c_9432,plain,
pred(n9) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_9368,c_1374]) ).
tff(c_1012,plain,
sum(n8,n1) = n9,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_9398,plain,
sum('#skF_1',n1) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_9368,c_1012]) ).
tff(c_9590,plain,
sum(pred(n9),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_9398,c_3828]) ).
tff(c_9591,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_9432,c_9590]) ).
tff(c_9716,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_9392,c_3397,c_9431,c_9369,c_9591]) ).
tff(c_9717,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_432,c_9716]) ).
tff(c_9718,plain,
( ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_9366]) ).
tff(c_9720,plain,
n12 = '#skF_1',
inference(splitLeft,[status(thm)],[c_9718]) ).
tff(c_824,plain,
sum(n12,n11) = n2,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_9751,plain,
sum('#skF_1',n11) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_9720,c_824]) ).
tff(c_1328,plain,
sum(n0,n11) = n11,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3420,plain,
sum('#skF_2',n11) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1328]) ).
tff(c_1368,plain,
pred(n12) = n11,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_9785,plain,
pred('#skF_1') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_9720,c_1368]) ).
tff(c_846,plain,
sum(n12,n0) = n12,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3377,plain,
sum(n12,'#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_846]) ).
tff(c_9723,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_9720,c_9720,c_3377]) ).
tff(c_9784,plain,
pred(n13) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_9720,c_1366]) ).
tff(c_844,plain,
sum(n12,n1) = n13,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_9742,plain,
sum('#skF_1',n1) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_9720,c_844]) ).
tff(c_10030,plain,
sum(pred(n13),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_9742,c_3828]) ).
tff(c_10031,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_9784,c_10030]) ).
tff(c_10068,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_9751,c_3420,c_9785,c_9723,c_10031]) ).
tff(c_10069,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_458,c_10068]) ).
tff(c_10070,plain,
( ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_9718]) ).
tff(c_10072,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_10070]) ).
tff(c_956,plain,
sum(n9,n8) = n17,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_10102,plain,
sum('#skF_1',n8) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_10072,c_956]) ).
tff(c_1334,plain,
sum(n0,n8) = n8,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3372,plain,
sum('#skF_2',n8) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1334]) ).
tff(c_10136,plain,
pred('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_10072,c_1374]) ).
tff(c_972,plain,
sum(n9,n0) = n9,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3378,plain,
sum(n9,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_972]) ).
tff(c_10075,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_10072,c_10072,c_3378]) ).
tff(c_1372,plain,
pred(n10) = n9,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_10137,plain,
pred(n10) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_10072,c_1372]) ).
tff(c_970,plain,
sum(n9,n1) = n10,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_10128,plain,
sum('#skF_1',n1) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_10072,c_970]) ).
tff(c_10214,plain,
sum(pred(n10),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_10128,c_3828]) ).
tff(c_10215,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_10137,c_10214]) ).
tff(c_10420,plain,
n17 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_10102,c_3372,c_10136,c_10075,c_10215]) ).
tff(c_10421,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428,c_10420]) ).
tff(c_10422,plain,
( ( n10 = '#skF_1' )
| ( n11 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_10070]) ).
tff(c_10424,plain,
n11 = '#skF_1',
inference(splitLeft,[status(thm)],[c_10422]) ).
tff(c_868,plain,
sum(n11,n10) = n0,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3400,plain,
sum(n11,n10) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_868]) ).
tff(c_10426,plain,
sum('#skF_1',n10) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_10424,c_3400]) ).
tff(c_1330,plain,
sum(n0,n10) = n10,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3394,plain,
sum('#skF_2',n10) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1330]) ).
tff(c_1370,plain,
pred(n11) = n10,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_10489,plain,
pred('#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_10424,c_1370]) ).
tff(c_888,plain,
sum(n11,n0) = n11,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3418,plain,
sum(n11,'#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_888]) ).
tff(c_10427,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_10424,c_10424,c_3418]) ).
tff(c_10488,plain,
pred(n12) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_10424,c_1368]) ).
tff(c_886,plain,
sum(n11,n1) = n12,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_10432,plain,
sum('#skF_1',n1) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_10424,c_886]) ).
tff(c_10746,plain,
sum(pred(n12),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_10432,c_3828]) ).
tff(c_10747,plain,
sum('#skF_1',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_10488,c_10746]) ).
tff(c_10772,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_10426,c_3394,c_10489,c_10427,c_10747]) ).
tff(c_10773,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3457,c_10772]) ).
tff(c_10774,plain,
n10 = '#skF_1',
inference(splitRight,[status(thm)],[c_10422]) ).
tff(c_912,plain,
sum(n10,n9) = n19,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_10795,plain,
sum('#skF_1',n9) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_10774,c_912]) ).
tff(c_10839,plain,
pred(n11) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_10774,c_1370]) ).
tff(c_928,plain,
sum(n10,n1) = n11,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_10804,plain,
sum('#skF_1',n1) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_10774,c_928]) ).
tff(c_3376,plain,
sum('#skF_2',n9) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_1332]) ).
tff(c_10840,plain,
pred('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_10774,c_1372]) ).
tff(c_930,plain,
sum(n10,n0) = n10,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_3423,plain,
sum(n10,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_3371,c_930]) ).
tff(c_10778,plain,
sum('#skF_1','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_10774,c_10774,c_3423]) ).
tff(c_11037,plain,
sum(pred(sum('#skF_1',n1)),sum('#skF_2',pred('#skF_1'))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_10778,c_3828]) ).
tff(c_11038,plain,
sum(pred(sum('#skF_1',n1)),n9) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3376,c_10840,c_11037]) ).
tff(c_11123,plain,
n19 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_10795,c_10839,c_10804,c_11038]) ).
tff(c_11124,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_424,c_11123]) ).
tff(c_11125,plain,
( ( n1 = '#skF_2' )
| ( n2 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n16 = '#skF_2' )
| ( n17 = '#skF_2' )
| ( n18 = '#skF_2' )
| ( n19 = '#skF_2' )
| ( n20 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_466]) ).
tff(c_11127,plain,
n20 = '#skF_2',
inference(splitLeft,[status(thm)],[c_11125]) ).
tff(c_11130,plain,
sum('#skF_2',n8) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_494]) ).
tff(c_914,plain,
sum(n10,n8) = n18,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_492,plain,
sum(n20,n9) = n8,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11145,plain,
sum('#skF_2',n9) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_492]) ).
tff(c_1002,plain,
sum(n8,n6) = n14,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11132,plain,
sum('#skF_2',n7) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_496]) ).
tff(c_11192,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_422]) ).
tff(c_870,plain,
sum(n11,n9) = n20,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11178,plain,
sum(n11,n9) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_870]) ).
tff(c_490,plain,
sum(n20,n10) = n9,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11156,plain,
sum('#skF_2',n10) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_490]) ).
tff(c_1046,plain,
sum(n7,n5) = n12,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_498,plain,
sum(n20,n6) = n5,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11177,plain,
sum('#skF_2',n6) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_498]) ).
tff(c_826,plain,
sum(n12,n10) = n1,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_488,plain,
sum(n20,n11) = n10,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11146,plain,
sum('#skF_2',n11) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_488]) ).
tff(c_1090,plain,
sum(n6,n4) = n10,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_500,plain,
sum(n20,n5) = n4,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11185,plain,
sum('#skF_2',n5) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_500]) ).
tff(c_782,plain,
sum(n13,n11) = n3,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_486,plain,
sum(n20,n12) = n11,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11175,plain,
sum('#skF_2',n12) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_486]) ).
tff(c_1134,plain,
sum(n5,n3) = n8,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_502,plain,
sum(n20,n4) = n3,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11144,plain,
sum('#skF_2',n4) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_502]) ).
tff(c_738,plain,
sum(n14,n12) = n5,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_484,plain,
sum(n20,n13) = n12,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11129,plain,
sum('#skF_2',n13) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_484]) ).
tff(c_1178,plain,
sum(n4,n2) = n6,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_504,plain,
sum(n20,n3) = n2,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11133,plain,
sum('#skF_2',n3) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_504]) ).
tff(c_694,plain,
sum(n15,n13) = n7,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_482,plain,
sum(n20,n14) = n13,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11165,plain,
sum('#skF_2',n14) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_482]) ).
tff(c_650,plain,
sum(n16,n14) = n9,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_480,plain,
sum(n20,n15) = n14,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11150,plain,
sum('#skF_2',n15) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_480]) ).
tff(c_11182,plain,
sum('#skF_2',n1) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_508]) ).
tff(c_606,plain,
sum(n17,n15) = n11,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_478,plain,
sum(n20,n16) = n15,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11186,plain,
sum('#skF_2',n16) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_478]) ).
tff(c_1268,plain,
sum(n1,n20) = n0,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11155,plain,
sum(n1,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_1268]) ).
tff(c_11171,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_11127,c_510]) ).
tff(c_562,plain,
sum(n18,n16) = n13,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_476,plain,
sum(n20,n17) = n16,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11152,plain,
sum('#skF_2',n17) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_476]) ).
tff(c_470,plain,
sum(n20,n20) = n19,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11160,plain,
sum('#skF_2','#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_11127,c_470]) ).
tff(c_11189,plain,
pred(n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_1392]) ).
tff(c_518,plain,
sum(n19,n17) = n15,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_474,plain,
sum(n20,n18) = n17,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11153,plain,
sum('#skF_2',n18) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_474]) ).
tff(c_11137,plain,
sum('#skF_2',n19) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_472]) ).
tff(c_11191,plain,
pred('#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_1352]) ).
tff(c_11217,plain,
( ( '#skF_2' = '#skF_1' )
| ( n19 = '#skF_1' )
| ( n18 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' )
| ( n0 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_468]) ).
tff(c_11218,plain,
n0 = '#skF_1',
inference(splitLeft,[status(thm)],[c_11217]) ).
tff(c_11184,plain,
sum(n0,'#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_11127,c_1310]) ).
tff(c_11685,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_11218,c_11184]) ).
tff(c_11303,plain,
pred('#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_11218,c_11189]) ).
tff(c_11268,plain,
sum('#skF_1','#skF_1') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_11218,c_11218,c_11218,c_1350]) ).
tff(c_1394,plain,
succ(n20) = n0,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11190,plain,
succ('#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_1394]) ).
tff(c_11324,plain,
succ('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_11218,c_11190]) ).
tff(c_11325,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_11324,c_464]) ).
tff(c_11802,plain,
n17 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_11153,c_11137,c_11191,c_11685,c_11303,c_11268,c_11325]) ).
tff(c_11803,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428,c_11802]) ).
tff(c_11804,plain,
( ( n1 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n18 = '#skF_1' )
| ( n19 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_11217]) ).
tff(c_12067,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_11804]) ).
tff(c_12098,plain,
sum('#skF_1',n18) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_12067,c_11153]) ).
tff(c_12114,plain,
sum('#skF_1','#skF_1') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_12067,c_12067,c_11160]) ).
tff(c_12132,plain,
pred('#skF_1') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_12067,c_11191]) ).
tff(c_12099,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_12067,c_12067,c_11171]) ).
tff(c_11810,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_11190,c_464]) ).
tff(c_12068,plain,
sum(pred(sum('#skF_1',n0)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_12067,c_12067,c_11810]) ).
tff(c_12419,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_518,c_12098,c_1354,c_12114,c_12132,c_12099,c_12068]) ).
tff(c_12420,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_432,c_12419]) ).
tff(c_12421,plain,
( ( n19 = '#skF_1' )
| ( n18 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_11804]) ).
tff(c_12423,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_12421]) ).
tff(c_12427,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_12423,c_11155]) ).
tff(c_12485,plain,
pred('#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_12423,c_1390]) ).
tff(c_12460,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_12423,c_12423,c_1308]) ).
tff(c_12529,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_12460,c_11810]) ).
tff(c_12530,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_12485,c_12529]) ).
tff(c_12771,plain,
n19 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1312,c_11160,c_11189,c_12427,c_12530]) ).
tff(c_12772,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_424,c_12771]) ).
tff(c_12773,plain,
( ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n18 = '#skF_1' )
| ( n19 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_12421]) ).
tff(c_12775,plain,
n19 = '#skF_1',
inference(splitLeft,[status(thm)],[c_12773]) ).
tff(c_512,plain,
sum(n19,n20) = n18,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11141,plain,
sum(n19,'#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_512]) ).
tff(c_12780,plain,
sum('#skF_1','#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_12775,c_11141]) ).
tff(c_12840,plain,
pred('#skF_1') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_12775,c_1354]) ).
tff(c_12794,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_12775,c_12775,c_552]) ).
tff(c_13013,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_12794,c_11810]) ).
tff(c_13014,plain,
sum(n18,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_12840,c_13013]) ).
tff(c_13123,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_562,c_11152,c_1356,c_12780,c_13014]) ).
tff(c_13124,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_436,c_13123]) ).
tff(c_13125,plain,
( ( n18 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_12773]) ).
tff(c_13127,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_13125]) ).
tff(c_1226,plain,
sum(n2,n20) = n1,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11172,plain,
sum(n2,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_1226]) ).
tff(c_13131,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_13127,c_11172]) ).
tff(c_13190,plain,
pred('#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_13127,c_1388]) ).
tff(c_13136,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_13127,c_13127,c_1266]) ).
tff(c_13289,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_13136,c_11810]) ).
tff(c_13290,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_13190,c_13289]) ).
tff(c_13475,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_11155,c_11171,c_1390,c_13131,c_13290]) ).
tff(c_13476,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_462,c_13475]) ).
tff(c_13477,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n18 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_13125]) ).
tff(c_13479,plain,
n18 = '#skF_1',
inference(splitLeft,[status(thm)],[c_13477]) ).
tff(c_554,plain,
sum(n18,n20) = n17,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11138,plain,
sum(n18,'#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_554]) ).
tff(c_13481,plain,
sum('#skF_1','#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_13479,c_11138]) ).
tff(c_13544,plain,
pred('#skF_1') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_13479,c_1356]) ).
tff(c_13523,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_13479,c_13479,c_594]) ).
tff(c_13677,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_13523,c_11810]) ).
tff(c_13678,plain,
sum(n17,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_13544,c_13677]) ).
tff(c_13827,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_606,c_11186,c_1358,c_13481,c_13678]) ).
tff(c_13828,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_440,c_13827]) ).
tff(c_13829,plain,
( ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_13477]) ).
tff(c_13831,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_13829]) ).
tff(c_1184,plain,
sum(n3,n20) = n2,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11149,plain,
sum(n3,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_1184]) ).
tff(c_13836,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_13831,c_11149]) ).
tff(c_13893,plain,
pred('#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_13831,c_1386]) ).
tff(c_13888,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_13831,c_13831,c_1224]) ).
tff(c_14025,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_13888,c_11810]) ).
tff(c_14026,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_13893,c_14025]) ).
tff(c_14179,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1266,c_11182,c_1388,c_13836,c_14026]) ).
tff(c_14180,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_458,c_14179]) ).
tff(c_14181,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_13829]) ).
tff(c_14183,plain,
n17 = '#skF_1',
inference(splitLeft,[status(thm)],[c_14181]) ).
tff(c_596,plain,
sum(n17,n20) = n16,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11173,plain,
sum(n17,'#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_596]) ).
tff(c_14188,plain,
sum('#skF_1','#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_14183,c_11173]) ).
tff(c_14246,plain,
pred('#skF_1') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_14183,c_1358]) ).
tff(c_14218,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_14183,c_14183,c_636]) ).
tff(c_14437,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_14218,c_11810]) ).
tff(c_14438,plain,
sum(n16,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_14246,c_14437]) ).
tff(c_14531,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_650,c_11150,c_1360,c_14188,c_14438]) ).
tff(c_14532,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_444,c_14531]) ).
tff(c_14533,plain,
( ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_14181]) ).
tff(c_14535,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_14533]) ).
tff(c_14601,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_14535,c_454]) ).
tff(c_14576,plain,
sum(n3,n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_14535,c_1222]) ).
tff(c_506,plain,
sum(n20,n2) = n1,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11180,plain,
sum('#skF_2',n2) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_506]) ).
tff(c_1142,plain,
sum(n4,n20) = n3,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11163,plain,
sum(n4,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_1142]) ).
tff(c_14539,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_14535,c_11163]) ).
tff(c_14599,plain,
pred('#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_14535,c_1384]) ).
tff(c_14549,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_14535,c_14535,c_1182]) ).
tff(c_14657,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_14549,c_11810]) ).
tff(c_14658,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_14599,c_14657]) ).
tff(c_14883,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_14576,c_11180,c_1386,c_14539,c_14658]) ).
tff(c_14884,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14601,c_14883]) ).
tff(c_14885,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_14533]) ).
tff(c_14887,plain,
n16 = '#skF_1',
inference(splitLeft,[status(thm)],[c_14885]) ).
tff(c_638,plain,
sum(n16,n20) = n15,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11169,plain,
sum(n16,'#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_638]) ).
tff(c_14888,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_14887,c_11169]) ).
tff(c_14950,plain,
pred('#skF_1') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_14887,c_1360]) ).
tff(c_14923,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_14887,c_14887,c_678]) ).
tff(c_15065,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_14923,c_11810]) ).
tff(c_15066,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_14950,c_15065]) ).
tff(c_15235,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_694,c_11165,c_1362,c_14888,c_15066]) ).
tff(c_15236,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_448,c_15235]) ).
tff(c_15237,plain,
( ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_14885]) ).
tff(c_15239,plain,
n5 = '#skF_1',
inference(splitLeft,[status(thm)],[c_15237]) ).
tff(c_11154,plain,
sum(n5,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_1100]) ).
tff(c_15240,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_15239,c_11154]) ).
tff(c_15302,plain,
pred('#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_15239,c_1382]) ).
tff(c_15266,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_15239,c_15239,c_1140]) ).
tff(c_15533,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_15266,c_11810]) ).
tff(c_15534,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_15302,c_15533]) ).
tff(c_15587,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1178,c_11133,c_1384,c_15240,c_15534]) ).
tff(c_15588,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_450,c_15587]) ).
tff(c_15589,plain,
( ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_15237]) ).
tff(c_15591,plain,
n15 = '#skF_1',
inference(splitLeft,[status(thm)],[c_15589]) ).
tff(c_680,plain,
sum(n15,n20) = n14,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11167,plain,
sum(n15,'#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_680]) ).
tff(c_15597,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_15591,c_11167]) ).
tff(c_15653,plain,
pred('#skF_1') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_15591,c_1362]) ).
tff(c_15650,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_15591,c_15591,c_720]) ).
tff(c_15725,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_15650,c_11810]) ).
tff(c_15726,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_15653,c_15725]) ).
tff(c_15939,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_738,c_11129,c_1364,c_15597,c_15726]) ).
tff(c_15940,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_452,c_15939]) ).
tff(c_15941,plain,
( ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_15589]) ).
tff(c_15943,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_15941]) ).
tff(c_1058,plain,
sum(n6,n20) = n5,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11158,plain,
sum(n6,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_1058]) ).
tff(c_15948,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_15943,c_11158]) ).
tff(c_16008,plain,
pred('#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_15943,c_1380]) ).
tff(c_15972,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_15943,c_15943,c_1098]) ).
tff(c_16189,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_15972,c_11810]) ).
tff(c_16190,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_16008,c_16189]) ).
tff(c_16291,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1134,c_11144,c_1382,c_15948,c_16190]) ).
tff(c_16292,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_446,c_16291]) ).
tff(c_16293,plain,
( ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_15941]) ).
tff(c_16295,plain,
n14 = '#skF_1',
inference(splitLeft,[status(thm)],[c_16293]) ).
tff(c_722,plain,
sum(n14,n20) = n13,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11181,plain,
sum(n14,'#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_722]) ).
tff(c_16299,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_16295,c_11181]) ).
tff(c_16358,plain,
pred('#skF_1') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_16295,c_1364]) ).
tff(c_16331,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_16295,c_16295,c_762]) ).
tff(c_16473,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_16331,c_11810]) ).
tff(c_16474,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_16358,c_16473]) ).
tff(c_16643,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_782,c_11175,c_1366,c_16299,c_16474]) ).
tff(c_16644,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_456,c_16643]) ).
tff(c_16645,plain,
( ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_16293]) ).
tff(c_16647,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_16645]) ).
tff(c_1016,plain,
sum(n7,n20) = n6,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11148,plain,
sum(n7,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_1016]) ).
tff(c_16650,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_16647,c_11148]) ).
tff(c_16709,plain,
pred('#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_16647,c_1378]) ).
tff(c_16685,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_16647,c_16647,c_1056]) ).
tff(c_16813,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_16685,c_11810]) ).
tff(c_16814,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_16709,c_16813]) ).
tff(c_16995,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1090,c_11185,c_1380,c_16650,c_16814]) ).
tff(c_16996,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_442,c_16995]) ).
tff(c_16997,plain,
( ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_16645]) ).
tff(c_16999,plain,
n13 = '#skF_1',
inference(splitLeft,[status(thm)],[c_16997]) ).
tff(c_764,plain,
sum(n13,n20) = n12,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11142,plain,
sum(n13,'#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_764]) ).
tff(c_17002,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_16999,c_11142]) ).
tff(c_17064,plain,
pred('#skF_1') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_16999,c_1366]) ).
tff(c_17041,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_16999,c_16999,c_804]) ).
tff(c_17209,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_17041,c_11810]) ).
tff(c_17210,plain,
sum(n12,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_17064,c_17209]) ).
tff(c_17347,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_826,c_11146,c_1368,c_17002,c_17210]) ).
tff(c_17348,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_460,c_17347]) ).
tff(c_17349,plain,
( ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_16997]) ).
tff(c_17351,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_17349]) ).
tff(c_974,plain,
sum(n8,n20) = n7,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11135,plain,
sum(n8,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_974]) ).
tff(c_17352,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_17351,c_11135]) ).
tff(c_17414,plain,
pred('#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_17351,c_1376]) ).
tff(c_17380,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_17351,c_17351,c_1014]) ).
tff(c_17597,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_17380,c_11810]) ).
tff(c_17598,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_17414,c_17597]) ).
tff(c_17699,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1046,c_11177,c_1378,c_17352,c_17598]) ).
tff(c_17700,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_438,c_17699]) ).
tff(c_17701,plain,
( ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_17349]) ).
tff(c_17703,plain,
n12 = '#skF_1',
inference(splitLeft,[status(thm)],[c_17701]) ).
tff(c_806,plain,
sum(n12,n20) = n11,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11183,plain,
sum(n12,'#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_806]) ).
tff(c_17704,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_17703,c_11183]) ).
tff(c_17768,plain,
pred('#skF_1') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_17703,c_1368]) ).
tff(c_17714,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_17703,c_17703,c_846]) ).
tff(c_17897,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_17714,c_11810]) ).
tff(c_17898,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_17768,c_17897]) ).
tff(c_18051,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_11178,c_11156,c_1370,c_17704,c_17898]) ).
tff(c_18052,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11192,c_18051]) ).
tff(c_18053,plain,
( ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_17701]) ).
tff(c_18055,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_18053]) ).
tff(c_932,plain,
sum(n9,n20) = n8,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11128,plain,
sum(n9,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_932]) ).
tff(c_18056,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_18055,c_11128]) ).
tff(c_18119,plain,
pred('#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_18055,c_1374]) ).
tff(c_18067,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_18055,c_18055,c_972]) ).
tff(c_18245,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_18067,c_11810]) ).
tff(c_18246,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_18119,c_18245]) ).
tff(c_18403,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1002,c_11132,c_1376,c_18056,c_18246]) ).
tff(c_18404,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_434,c_18403]) ).
tff(c_18405,plain,
( ( n10 = '#skF_1' )
| ( n11 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_18053]) ).
tff(c_18407,plain,
n11 = '#skF_1',
inference(splitLeft,[status(thm)],[c_18405]) ).
tff(c_848,plain,
sum(n11,n20) = n10,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11179,plain,
sum(n11,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_848]) ).
tff(c_18408,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_18407,c_11179]) ).
tff(c_18472,plain,
pred('#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_18407,c_1370]) ).
tff(c_18459,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_18407,c_18407,c_888]) ).
tff(c_18705,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_18459,c_11810]) ).
tff(c_18706,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_18472,c_18705]) ).
tff(c_18755,plain,
n18 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_914,c_11145,c_1372,c_18408,c_18706]) ).
tff(c_18756,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426,c_18755]) ).
tff(c_18757,plain,
n10 = '#skF_1',
inference(splitRight,[status(thm)],[c_18405]) ).
tff(c_890,plain,
sum(n10,n20) = n9,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_11151,plain,
sum(n10,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_890]) ).
tff(c_18761,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_18757,c_11151]) ).
tff(c_18823,plain,
pred('#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_18757,c_1372]) ).
tff(c_18811,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_18757,c_18757,c_930]) ).
tff(c_18912,plain,
sum(pred('#skF_1'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_18811,c_11810]) ).
tff(c_18913,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_18823,c_18912]) ).
tff(c_19106,plain,
n16 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_958,c_11130,c_1374,c_18761,c_18913]) ).
tff(c_19107,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430,c_19106]) ).
tff(c_19108,plain,
( ( n19 = '#skF_2' )
| ( n18 = '#skF_2' )
| ( n17 = '#skF_2' )
| ( n16 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' )
| ( n1 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_11125]) ).
tff(c_19110,plain,
n1 = '#skF_2',
inference(splitLeft,[status(thm)],[c_19108]) ).
tff(c_19175,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_460]) ).
tff(c_866,plain,
sum(n11,n11) = n1,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_19153,plain,
sum(n11,n11) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_866]) ).
tff(c_822,plain,
sum(n12,n12) = n3,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_910,plain,
sum(n10,n10) = n20,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_778,plain,
sum(n13,n13) = n5,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_954,plain,
sum(n9,n9) = n18,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_734,plain,
sum(n14,n14) = n7,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_998,plain,
sum(n8,n8) = n16,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_690,plain,
sum(n15,n15) = n9,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1042,plain,
sum(n7,n7) = n14,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_646,plain,
sum(n16,n16) = n11,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1086,plain,
sum(n6,n6) = n12,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_602,plain,
sum(n17,n17) = n13,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1130,plain,
sum(n5,n5) = n10,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_558,plain,
sum(n18,n18) = n15,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1174,plain,
sum(n4,n4) = n8,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_514,plain,
sum(n19,n19) = n17,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1218,plain,
sum(n3,n3) = n6,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1262,plain,
sum(n2,n2) = n4,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_19126,plain,
sum('#skF_2','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_19110,c_1306]) ).
tff(c_19172,plain,
pred(n2) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1388]) ).
tff(c_19200,plain,
( ( n20 = '#skF_1' )
| ( n19 = '#skF_1' )
| ( n18 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n0 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_468]) ).
tff(c_19201,plain,
n0 = '#skF_1',
inference(splitLeft,[status(thm)],[c_19200]) ).
tff(c_19249,plain,
sum('#skF_1',n2) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_19201,c_1346]) ).
tff(c_19142,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_19110,c_1308]) ).
tff(c_19610,plain,
sum('#skF_2','#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_19201,c_19142]) ).
tff(c_19171,plain,
pred('#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1390]) ).
tff(c_19308,plain,
pred('#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_19201,c_19171]) ).
tff(c_19111,plain,
sum(n0,'#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_19110,c_1348]) ).
tff(c_19597,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_19201,c_19111]) ).
tff(c_1432,plain,
succ(n1) = n2,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_19174,plain,
succ('#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1432]) ).
tff(c_19299,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_19174,c_464]) ).
tff(c_19785,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_19126,c_19172,c_19249,c_19610,c_19308,c_19597,c_19299]) ).
tff(c_19786,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_458,c_19785]) ).
tff(c_19787,plain,
( ( '#skF_2' = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n18 = '#skF_1' )
| ( n19 = '#skF_1' )
| ( n20 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_19200]) ).
tff(c_20050,plain,
n20 = '#skF_1',
inference(splitLeft,[status(thm)],[c_19787]) ).
tff(c_19133,plain,
sum('#skF_2',n20) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1268]) ).
tff(c_20054,plain,
sum('#skF_2','#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_20050,c_19133]) ).
tff(c_19157,plain,
sum(n20,n2) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_506]) ).
tff(c_20055,plain,
sum('#skF_1',n2) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_20050,c_19157]) ).
tff(c_20113,plain,
pred(n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_20050,c_1392]) ).
tff(c_19158,plain,
sum(n20,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_508]) ).
tff(c_20056,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_20050,c_19158]) ).
tff(c_19793,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_19174,c_464]) ).
tff(c_20376,plain,
sum(pred(sum('#skF_1',n2)),sum('#skF_2',pred(n0))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_20056,c_19793]) ).
tff(c_20377,plain,
sum(pred(sum('#skF_1',n2)),sum('#skF_2','#skF_1')) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_20113,c_20376]) ).
tff(c_20398,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1350,c_20054,c_19171,c_20055,c_20377]) ).
tff(c_20399,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_462,c_20398]) ).
tff(c_20400,plain,
( ( n19 = '#skF_1' )
| ( n18 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_19787]) ).
tff(c_20402,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_20400]) ).
tff(c_1304,plain,
sum(n1,n2) = n3,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_19121,plain,
sum('#skF_2',n2) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1304]) ).
tff(c_20422,plain,
sum('#skF_1',n2) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_20402,c_19121]) ).
tff(c_20420,plain,
sum('#skF_1','#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_20402,c_20402,c_19126]) ).
tff(c_20465,plain,
pred(n2) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_20402,c_19172]) ).
tff(c_20403,plain,
sum(pred(sum('#skF_1',n2)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_20402,c_20402,c_19793]) ).
tff(c_20754,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1262,c_1386,c_20422,c_20420,c_20465,c_20420,c_20403]) ).
tff(c_20755,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_454,c_20754]) ).
tff(c_20756,plain,
( ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n18 = '#skF_1' )
| ( n19 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_20400]) ).
tff(c_20758,plain,
n19 = '#skF_1',
inference(splitLeft,[status(thm)],[c_20756]) ).
tff(c_20824,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_20758,c_424]) ).
tff(c_20794,plain,
sum(n20,n20) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_20758,c_470]) ).
tff(c_1270,plain,
sum(n1,n19) = n20,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_19170,plain,
sum('#skF_2',n19) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1270]) ).
tff(c_20763,plain,
sum('#skF_2','#skF_1') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_20758,c_19170]) ).
tff(c_20823,plain,
pred(n20) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_20758,c_1352]) ).
tff(c_19122,plain,
sum(n19,'#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_550]) ).
tff(c_20759,plain,
sum('#skF_1','#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_20758,c_19122]) ).
tff(c_548,plain,
sum(n19,n2) = n0,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_20778,plain,
sum('#skF_1',n2) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_20758,c_548]) ).
tff(c_20932,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_20778,c_19793]) ).
tff(c_20933,plain,
sum(n20,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1392,c_20932]) ).
tff(c_21106,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_20794,c_20763,c_20823,c_20759,c_20933]) ).
tff(c_21107,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20824,c_21106]) ).
tff(c_21108,plain,
( ( n18 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_20756]) ).
tff(c_21110,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_21108]) ).
tff(c_21114,plain,
sum('#skF_2','#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_21110,c_19121]) ).
tff(c_21175,plain,
pred(n3) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_21110,c_1386]) ).
tff(c_19138,plain,
sum(n2,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1264]) ).
tff(c_21115,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_21110,c_19138]) ).
tff(c_21131,plain,
sum('#skF_1','#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_21110,c_21110,c_1262]) ).
tff(c_21111,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_21110,c_19793]) ).
tff(c_21457,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1218,c_21114,c_21175,c_21115,c_1384,c_21131,c_21111]) ).
tff(c_21458,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_450,c_21457]) ).
tff(c_21459,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n18 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_21108]) ).
tff(c_21461,plain,
n18 = '#skF_1',
inference(splitLeft,[status(thm)],[c_21459]) ).
tff(c_1272,plain,
sum(n1,n18) = n19,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_19156,plain,
sum('#skF_2',n18) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1272]) ).
tff(c_21465,plain,
sum('#skF_2','#skF_1') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_21461,c_19156]) ).
tff(c_21525,plain,
pred(n19) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_21461,c_1354]) ).
tff(c_19154,plain,
sum(n18,'#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_592]) ).
tff(c_21462,plain,
sum('#skF_1','#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_21461,c_19154]) ).
tff(c_590,plain,
sum(n18,n2) = n20,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_21509,plain,
sum('#skF_1',n2) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_21461,c_590]) ).
tff(c_21727,plain,
sum(pred(n20),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_21509,c_19793]) ).
tff(c_21728,plain,
sum(n19,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1352,c_21727]) ).
tff(c_21809,plain,
n17 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_514,c_21465,c_21525,c_21462,c_21728]) ).
tff(c_21810,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428,c_21809]) ).
tff(c_21811,plain,
( ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_21459]) ).
tff(c_21813,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_21811]) ).
tff(c_1302,plain,
sum(n1,n3) = n4,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_19160,plain,
sum('#skF_2',n3) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1302]) ).
tff(c_21819,plain,
sum('#skF_2','#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_21813,c_19160]) ).
tff(c_21876,plain,
pred(n4) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_21813,c_1384]) ).
tff(c_19139,plain,
sum(n3,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1222]) ).
tff(c_21817,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_21813,c_19139]) ).
tff(c_21868,plain,
sum('#skF_1',n2) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_21813,c_1220]) ).
tff(c_22103,plain,
sum(pred(n5),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_21868,c_19793]) ).
tff(c_22104,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1382,c_22103]) ).
tff(c_22161,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1174,c_21819,c_21876,c_21817,c_22104]) ).
tff(c_22162,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_446,c_22161]) ).
tff(c_22163,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_21811]) ).
tff(c_22165,plain,
n17 = '#skF_1',
inference(splitLeft,[status(thm)],[c_22163]) ).
tff(c_1274,plain,
sum(n1,n17) = n18,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_19143,plain,
sum('#skF_2',n17) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1274]) ).
tff(c_22166,plain,
sum('#skF_2','#skF_1') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_22165,c_19143]) ).
tff(c_22230,plain,
pred(n18) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_22165,c_1356]) ).
tff(c_19150,plain,
sum(n17,'#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_634]) ).
tff(c_22171,plain,
sum('#skF_1','#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_22165,c_19150]) ).
tff(c_22201,plain,
sum('#skF_1',n2) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_22165,c_632]) ).
tff(c_22339,plain,
sum(pred(n19),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_22201,c_19793]) ).
tff(c_22340,plain,
sum(n18,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1354,c_22339]) ).
tff(c_22513,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_558,c_22166,c_22230,c_22171,c_22340]) ).
tff(c_22514,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_432,c_22513]) ).
tff(c_22515,plain,
( ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_22163]) ).
tff(c_22517,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_22515]) ).
tff(c_1300,plain,
sum(n1,n4) = n5,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_19131,plain,
sum('#skF_2',n4) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1300]) ).
tff(c_22523,plain,
sum('#skF_2','#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_22517,c_19131]) ).
tff(c_22579,plain,
pred(n5) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_22517,c_1382]) ).
tff(c_19119,plain,
sum(n4,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1180]) ).
tff(c_22522,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_22517,c_19119]) ).
tff(c_22573,plain,
sum('#skF_1',n2) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_22517,c_1178]) ).
tff(c_22667,plain,
sum(pred(n6),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_22573,c_19793]) ).
tff(c_22668,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1380,c_22667]) ).
tff(c_22865,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1130,c_22523,c_22579,c_22522,c_22668]) ).
tff(c_22866,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_442,c_22865]) ).
tff(c_22867,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_22515]) ).
tff(c_22869,plain,
n16 = '#skF_1',
inference(splitLeft,[status(thm)],[c_22867]) ).
tff(c_1276,plain,
sum(n1,n16) = n17,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_19130,plain,
sum('#skF_2',n16) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1276]) ).
tff(c_22874,plain,
sum('#skF_2','#skF_1') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_22869,c_19130]) ).
tff(c_22933,plain,
pred(n17) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_22869,c_1358]) ).
tff(c_19147,plain,
sum(n16,'#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_676]) ).
tff(c_22872,plain,
sum('#skF_1','#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_22869,c_19147]) ).
tff(c_674,plain,
sum(n16,n2) = n18,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_22904,plain,
sum('#skF_1',n2) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_22869,c_674]) ).
tff(c_23139,plain,
sum(pred(n18),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_22904,c_19793]) ).
tff(c_23140,plain,
sum(n17,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1356,c_23139]) ).
tff(c_23217,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_602,c_22874,c_22933,c_22872,c_23140]) ).
tff(c_23218,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_436,c_23217]) ).
tff(c_23219,plain,
( ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_22867]) ).
tff(c_23221,plain,
n5 = '#skF_1',
inference(splitLeft,[status(thm)],[c_23219]) ).
tff(c_1298,plain,
sum(n1,n5) = n6,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_19134,plain,
sum('#skF_2',n5) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1298]) ).
tff(c_23222,plain,
sum('#skF_2','#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_23221,c_19134]) ).
tff(c_23286,plain,
pred(n6) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_23221,c_1380]) ).
tff(c_19124,plain,
sum(n5,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1138]) ).
tff(c_23225,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_23221,c_19124]) ).
tff(c_1136,plain,
sum(n5,n2) = n7,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_23254,plain,
sum('#skF_1',n2) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_23221,c_1136]) ).
tff(c_23367,plain,
sum(pred(n7),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_23254,c_19793]) ).
tff(c_23368,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1378,c_23367]) ).
tff(c_23569,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1086,c_23222,c_23286,c_23225,c_23368]) ).
tff(c_23570,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_438,c_23569]) ).
tff(c_23571,plain,
( ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_23219]) ).
tff(c_23573,plain,
n15 = '#skF_1',
inference(splitLeft,[status(thm)],[c_23571]) ).
tff(c_1278,plain,
sum(n1,n15) = n16,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_19114,plain,
sum('#skF_2',n15) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1278]) ).
tff(c_23579,plain,
sum('#skF_2','#skF_1') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_23573,c_19114]) ).
tff(c_23636,plain,
pred(n16) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_23573,c_1360]) ).
tff(c_19144,plain,
sum(n15,'#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_718]) ).
tff(c_23575,plain,
sum('#skF_1','#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_23573,c_19144]) ).
tff(c_716,plain,
sum(n15,n2) = n17,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_23606,plain,
sum('#skF_1',n2) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_23573,c_716]) ).
tff(c_23715,plain,
sum(pred(n17),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_23606,c_19793]) ).
tff(c_23716,plain,
sum(n16,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1358,c_23715]) ).
tff(c_23921,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_646,c_23579,c_23636,c_23575,c_23716]) ).
tff(c_23922,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_440,c_23921]) ).
tff(c_23923,plain,
( ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_23571]) ).
tff(c_23925,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_23923]) ).
tff(c_1296,plain,
sum(n1,n6) = n7,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_19159,plain,
sum('#skF_2',n6) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1296]) ).
tff(c_23929,plain,
sum('#skF_2','#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_23925,c_19159]) ).
tff(c_23988,plain,
pred(n7) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_23925,c_1378]) ).
tff(c_19140,plain,
sum(n6,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1096]) ).
tff(c_23930,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_23925,c_19140]) ).
tff(c_1094,plain,
sum(n6,n2) = n8,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_23946,plain,
sum('#skF_1',n2) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_23925,c_1094]) ).
tff(c_24167,plain,
sum(pred(n8),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_23946,c_19793]) ).
tff(c_24168,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1376,c_24167]) ).
tff(c_24273,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1042,c_23929,c_23988,c_23930,c_24168]) ).
tff(c_24274,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_434,c_24273]) ).
tff(c_24275,plain,
( ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_23923]) ).
tff(c_24277,plain,
n14 = '#skF_1',
inference(splitLeft,[status(thm)],[c_24275]) ).
tff(c_1280,plain,
sum(n1,n14) = n15,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_19168,plain,
sum('#skF_2',n14) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1280]) ).
tff(c_24282,plain,
sum('#skF_2','#skF_1') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_24277,c_19168]) ).
tff(c_24339,plain,
pred(n15) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_24277,c_1362]) ).
tff(c_19125,plain,
sum(n14,'#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_760]) ).
tff(c_24279,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_24277,c_19125]) ).
tff(c_758,plain,
sum(n14,n2) = n16,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_24299,plain,
sum('#skF_1',n2) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_24277,c_758]) ).
tff(c_24579,plain,
sum(pred(n16),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_24299,c_19793]) ).
tff(c_24580,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1360,c_24579]) ).
tff(c_24625,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_690,c_24282,c_24339,c_24279,c_24580]) ).
tff(c_24626,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_444,c_24625]) ).
tff(c_24627,plain,
( ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_24275]) ).
tff(c_24629,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_24627]) ).
tff(c_1294,plain,
sum(n1,n7) = n8,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_19117,plain,
sum('#skF_2',n7) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1294]) ).
tff(c_24635,plain,
sum('#skF_2','#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_24629,c_19117]) ).
tff(c_24693,plain,
pred(n8) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_24629,c_1376]) ).
tff(c_19136,plain,
sum(n7,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1054]) ).
tff(c_24631,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_24629,c_19136]) ).
tff(c_1052,plain,
sum(n7,n2) = n9,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_24671,plain,
sum('#skF_1',n2) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_24629,c_1052]) ).
tff(c_24847,plain,
sum(pred(n9),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_24671,c_19793]) ).
tff(c_24848,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1374,c_24847]) ).
tff(c_24977,plain,
n16 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_998,c_24635,c_24693,c_24631,c_24848]) ).
tff(c_24978,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430,c_24977]) ).
tff(c_24979,plain,
( ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_24627]) ).
tff(c_24981,plain,
n13 = '#skF_1',
inference(splitLeft,[status(thm)],[c_24979]) ).
tff(c_1282,plain,
sum(n1,n13) = n14,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_19165,plain,
sum('#skF_2',n13) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1282]) ).
tff(c_24985,plain,
sum('#skF_2','#skF_1') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_24981,c_19165]) ).
tff(c_25044,plain,
pred(n14) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_24981,c_1364]) ).
tff(c_19141,plain,
sum(n13,'#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_802]) ).
tff(c_24986,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_24981,c_19141]) ).
tff(c_800,plain,
sum(n13,n2) = n15,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_25038,plain,
sum('#skF_1',n2) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_24981,c_800]) ).
tff(c_25143,plain,
sum(pred(n15),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_25038,c_19793]) ).
tff(c_25144,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1362,c_25143]) ).
tff(c_25329,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_734,c_24985,c_25044,c_24986,c_25144]) ).
tff(c_25330,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_448,c_25329]) ).
tff(c_25331,plain,
( ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_24979]) ).
tff(c_25333,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_25331]) ).
tff(c_1292,plain,
sum(n1,n8) = n9,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_19115,plain,
sum('#skF_2',n8) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1292]) ).
tff(c_25336,plain,
sum('#skF_2','#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_25333,c_19115]) ).
tff(c_25397,plain,
pred(n9) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_25333,c_1374]) ).
tff(c_19129,plain,
sum(n8,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1012]) ).
tff(c_25338,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_25333,c_19129]) ).
tff(c_1010,plain,
sum(n8,n2) = n10,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_25366,plain,
sum('#skF_1',n2) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_25333,c_1010]) ).
tff(c_25471,plain,
sum(pred(n10),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_25366,c_19793]) ).
tff(c_25472,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1372,c_25471]) ).
tff(c_25681,plain,
n18 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_954,c_25336,c_25397,c_25338,c_25472]) ).
tff(c_25682,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426,c_25681]) ).
tff(c_25683,plain,
( ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_25331]) ).
tff(c_25685,plain,
n12 = '#skF_1',
inference(splitLeft,[status(thm)],[c_25683]) ).
tff(c_1284,plain,
sum(n1,n12) = n13,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_19169,plain,
sum('#skF_2',n12) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1284]) ).
tff(c_25686,plain,
sum('#skF_2','#skF_1') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_25685,c_19169]) ).
tff(c_25749,plain,
pred(n13) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_25685,c_1366]) ).
tff(c_19127,plain,
sum(n12,'#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_844]) ).
tff(c_25691,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_25685,c_19127]) ).
tff(c_842,plain,
sum(n12,n2) = n14,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_25723,plain,
sum('#skF_1',n2) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_25685,c_842]) ).
tff(c_25851,plain,
sum(pred(n14),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_25723,c_19793]) ).
tff(c_25852,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1364,c_25851]) ).
tff(c_26033,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_778,c_25686,c_25749,c_25691,c_25852]) ).
tff(c_26034,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_452,c_26033]) ).
tff(c_26035,plain,
( ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_25683]) ).
tff(c_26037,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_26035]) ).
tff(c_1290,plain,
sum(n1,n9) = n10,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_19167,plain,
sum('#skF_2',n9) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1290]) ).
tff(c_26042,plain,
sum('#skF_2','#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_26037,c_19167]) ).
tff(c_26102,plain,
pred(n10) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_26037,c_1372]) ).
tff(c_19164,plain,
sum(n9,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_970]) ).
tff(c_26041,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_26037,c_19164]) ).
tff(c_968,plain,
sum(n9,n2) = n11,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_26051,plain,
sum('#skF_1',n2) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_26037,c_968]) ).
tff(c_26147,plain,
sum(pred(n11),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_26051,c_19793]) ).
tff(c_26148,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1370,c_26147]) ).
tff(c_26385,plain,
n20 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_910,c_26042,c_26102,c_26041,c_26148]) ).
tff(c_26386,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422,c_26385]) ).
tff(c_26387,plain,
( ( n10 = '#skF_1' )
| ( n11 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_26035]) ).
tff(c_26389,plain,
n11 = '#skF_1',
inference(splitLeft,[status(thm)],[c_26387]) ).
tff(c_1286,plain,
sum(n1,n11) = n12,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_19146,plain,
sum('#skF_2',n11) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1286]) ).
tff(c_26394,plain,
sum('#skF_2','#skF_1') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_26389,c_19146]) ).
tff(c_26453,plain,
pred(n12) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_26389,c_1368]) ).
tff(c_19112,plain,
sum(n11,'#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_886]) ).
tff(c_26392,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_26389,c_19112]) ).
tff(c_884,plain,
sum(n11,n2) = n13,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_26397,plain,
sum('#skF_1',n2) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_26389,c_884]) ).
tff(c_26495,plain,
sum(pred(n13),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_26397,c_19793]) ).
tff(c_26496,plain,
sum(n12,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1366,c_26495]) ).
tff(c_26737,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_822,c_26394,c_26453,c_26392,c_26496]) ).
tff(c_26738,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_456,c_26737]) ).
tff(c_26739,plain,
n10 = '#skF_1',
inference(splitRight,[status(thm)],[c_26387]) ).
tff(c_1288,plain,
sum(n1,n10) = n11,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_19113,plain,
sum('#skF_2',n10) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_1288]) ).
tff(c_26746,plain,
sum('#skF_2','#skF_1') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_26739,c_19113]) ).
tff(c_26804,plain,
pred(n11) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_26739,c_1370]) ).
tff(c_19132,plain,
sum(n10,'#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_19110,c_928]) ).
tff(c_26743,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_26739,c_19132]) ).
tff(c_926,plain,
sum(n10,n2) = n12,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_26797,plain,
sum('#skF_1',n2) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_26739,c_926]) ).
tff(c_26870,plain,
sum(pred(n12),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_26797,c_19793]) ).
tff(c_26871,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1368,c_26870]) ).
tff(c_27088,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_19153,c_26746,c_26804,c_26743,c_26871]) ).
tff(c_27089,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19175,c_27088]) ).
tff(c_27090,plain,
( ( n2 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n16 = '#skF_2' )
| ( n17 = '#skF_2' )
| ( n18 = '#skF_2' )
| ( n19 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_19108]) ).
tff(c_33779,plain,
n19 = '#skF_2',
inference(splitLeft,[status(thm)],[c_27090]) ).
tff(c_536,plain,
sum(n19,n8) = n6,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33783,plain,
sum('#skF_2',n8) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_536]) ).
tff(c_1048,plain,
sum(n7,n4) = n11,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33837,plain,
sum('#skF_2',n6) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_540]) ).
tff(c_916,plain,
sum(n10,n7) = n17,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_534,plain,
sum(n19,n9) = n7,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33807,plain,
sum('#skF_2',n9) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_534]) ).
tff(c_1092,plain,
sum(n6,n3) = n9,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33798,plain,
sum('#skF_2',n5) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_542]) ).
tff(c_33844,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_424]) ).
tff(c_872,plain,
sum(n11,n8) = n19,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33821,plain,
sum(n11,n8) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_872]) ).
tff(c_532,plain,
sum(n19,n10) = n8,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33831,plain,
sum('#skF_2',n10) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_532]) ).
tff(c_828,plain,
sum(n12,n9) = n0,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_530,plain,
sum(n19,n11) = n9,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33816,plain,
sum('#skF_2',n11) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_530]) ).
tff(c_546,plain,
sum(n19,n3) = n1,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33794,plain,
sum('#skF_2',n3) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_546]) ).
tff(c_784,plain,
sum(n13,n10) = n2,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_528,plain,
sum(n19,n12) = n10,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33828,plain,
sum('#skF_2',n12) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_528]) ).
tff(c_33793,plain,
sum('#skF_2',n2) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_548]) ).
tff(c_740,plain,
sum(n14,n11) = n4,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_526,plain,
sum(n19,n13) = n11,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33809,plain,
sum('#skF_2',n13) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_526]) ).
tff(c_33792,plain,
sum('#skF_2',n1) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_550]) ).
tff(c_696,plain,
sum(n15,n12) = n6,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_524,plain,
sum(n19,n14) = n12,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33789,plain,
sum('#skF_2',n14) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_524]) ).
tff(c_33839,plain,
sum(n1,'#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_1270]) ).
tff(c_33791,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_33779,c_552]) ).
tff(c_652,plain,
sum(n16,n13) = n8,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_522,plain,
sum(n19,n15) = n13,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33799,plain,
sum('#skF_2',n15) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_522]) ).
tff(c_33796,plain,
sum('#skF_2',n20) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_512]) ).
tff(c_608,plain,
sum(n17,n14) = n10,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33813,plain,
sum('#skF_2','#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_33779,c_514]) ).
tff(c_33843,plain,
pred(n20) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_1352]) ).
tff(c_564,plain,
sum(n18,n15) = n12,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33829,plain,
sum('#skF_2',n17) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_518]) ).
tff(c_27444,plain,
n19 = '#skF_2',
inference(splitLeft,[status(thm)],[c_27090]) ).
tff(c_520,plain,
sum(n19,n16) = n14,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_27493,plain,
sum('#skF_2',n16) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_27444,c_520]) ).
tff(c_27482,plain,
sum('#skF_2',n18) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_27444,c_516]) ).
tff(c_27508,plain,
pred('#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_27444,c_1354]) ).
tff(c_27092,plain,
n0 = '#skF_1',
inference(splitLeft,[status(thm)],[c_468]) ).
tff(c_27141,plain,
sum('#skF_1',n19) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_27092,c_1312]) ).
tff(c_27447,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_27444,c_27444,c_27141]) ).
tff(c_27509,plain,
pred(n20) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_27444,c_1352]) ).
tff(c_27150,plain,
sum('#skF_1',n20) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_27092,c_1310]) ).
tff(c_1396,plain,
succ(n19) = n20,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_27506,plain,
succ('#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_27444,c_1396]) ).
tff(c_27542,plain,
sum(pred(sum('#skF_1',n20)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_27506,c_464]) ).
tff(c_27543,plain,
sum('#skF_2',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_27509,c_27150,c_27542]) ).
tff(c_27792,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_27493,c_27482,c_27508,c_27447,c_27543]) ).
tff(c_27793,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_434,c_27792]) ).
tff(c_27794,plain,
( ( n18 = '#skF_2' )
| ( n17 = '#skF_2' )
| ( n16 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_27090]) ).
tff(c_27796,plain,
n2 = '#skF_2',
inference(splitLeft,[status(thm)],[c_27794]) ).
tff(c_1260,plain,
sum(n2,n3) = n5,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_27845,plain,
sum('#skF_2',n3) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_27796,c_1260]) ).
tff(c_27826,plain,
sum('#skF_2',n1) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_27796,c_1264]) ).
tff(c_27859,plain,
pred('#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_27796,c_1388]) ).
tff(c_27143,plain,
sum('#skF_1',n2) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_27092,c_1346]) ).
tff(c_27798,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_27796,c_27796,c_27143]) ).
tff(c_27858,plain,
pred(n3) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_27796,c_1386]) ).
tff(c_27130,plain,
sum('#skF_1',n3) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_27092,c_1344]) ).
tff(c_1430,plain,
succ(n2) = n3,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_27860,plain,
succ('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_27796,c_1430]) ).
tff(c_27890,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_27860,c_464]) ).
tff(c_27891,plain,
sum(pred(n3),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_27130,c_27890]) ).
tff(c_28144,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_27845,c_27826,c_27859,c_27798,c_27858,c_27891]) ).
tff(c_28145,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_452,c_28144]) ).
tff(c_28146,plain,
( ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n16 = '#skF_2' )
| ( n17 = '#skF_2' )
| ( n18 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_27794]) ).
tff(c_28148,plain,
n18 = '#skF_2',
inference(splitLeft,[status(thm)],[c_28146]) ).
tff(c_566,plain,
sum(n18,n14) = n11,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_28173,plain,
sum('#skF_2',n14) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_28148,c_566]) ).
tff(c_28163,plain,
sum('#skF_2',n17) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_28148,c_560]) ).
tff(c_28213,plain,
pred('#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_28148,c_1356]) ).
tff(c_27112,plain,
sum('#skF_1',n18) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_27092,c_1314]) ).
tff(c_28152,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_28148,c_28148,c_27112]) ).
tff(c_28212,plain,
pred(n19) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_28148,c_1354]) ).
tff(c_1398,plain,
succ(n18) = n19,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_28210,plain,
succ('#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_28148,c_1398]) ).
tff(c_28250,plain,
sum(pred(sum('#skF_1',n19)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_28210,c_464]) ).
tff(c_28251,plain,
sum('#skF_2',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_28212,c_27141,c_28250]) ).
tff(c_28496,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_28173,c_28163,c_28213,c_28152,c_28251]) ).
tff(c_28497,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_440,c_28496]) ).
tff(c_28498,plain,
( ( n17 = '#skF_2' )
| ( n16 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_28146]) ).
tff(c_28500,plain,
n3 = '#skF_2',
inference(splitLeft,[status(thm)],[c_28498]) ).
tff(c_1214,plain,
sum(n3,n5) = n8,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_28507,plain,
sum('#skF_2',n5) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_28500,c_1214]) ).
tff(c_28554,plain,
sum('#skF_2',n2) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_28500,c_1220]) ).
tff(c_28562,plain,
pred('#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_28500,c_1386]) ).
tff(c_28504,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_28500,c_28500,c_27130]) ).
tff(c_28563,plain,
pred(n4) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_28500,c_1384]) ).
tff(c_27131,plain,
sum('#skF_1',n4) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_27092,c_1342]) ).
tff(c_1428,plain,
succ(n3) = n4,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_28565,plain,
succ('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_28500,c_1428]) ).
tff(c_28590,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_28565,c_464]) ).
tff(c_28591,plain,
sum(pred(n4),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_27131,c_28590]) ).
tff(c_28848,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_28507,c_28554,c_28562,c_28504,c_28563,c_28591]) ).
tff(c_28849,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_446,c_28848]) ).
tff(c_28850,plain,
( ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n16 = '#skF_2' )
| ( n17 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_28498]) ).
tff(c_28852,plain,
n17 = '#skF_2',
inference(splitLeft,[status(thm)],[c_28850]) ).
tff(c_612,plain,
sum(n17,n12) = n8,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_28898,plain,
sum('#skF_2',n12) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_28852,c_612]) ).
tff(c_28902,plain,
sum('#skF_2',n16) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_28852,c_604]) ).
tff(c_28915,plain,
pred('#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_28852,c_1358]) ).
tff(c_27138,plain,
sum('#skF_1',n17) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_27092,c_1316]) ).
tff(c_28856,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_28852,c_28852,c_27138]) ).
tff(c_28917,plain,
pred(n18) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_28852,c_1356]) ).
tff(c_1400,plain,
succ(n17) = n18,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_28916,plain,
succ('#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_28852,c_1400]) ).
tff(c_28946,plain,
sum(pred(sum('#skF_1',n18)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_28916,c_464]) ).
tff(c_28947,plain,
sum('#skF_2',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_28917,c_27112,c_28946]) ).
tff(c_29200,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_28898,c_28902,c_28915,c_28856,c_28947]) ).
tff(c_29201,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_446,c_29200]) ).
tff(c_29202,plain,
( ( n16 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_28850]) ).
tff(c_29204,plain,
n4 = '#skF_2',
inference(splitLeft,[status(thm)],[c_29202]) ).
tff(c_1168,plain,
sum(n4,n7) = n11,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_29230,plain,
sum('#skF_2',n7) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_29204,c_1168]) ).
tff(c_29250,plain,
sum('#skF_2',n3) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_29204,c_1176]) ).
tff(c_29268,plain,
pred('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_29204,c_1384]) ).
tff(c_29208,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_29204,c_29204,c_27131]) ).
tff(c_29266,plain,
pred(n5) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_29204,c_1382]) ).
tff(c_27152,plain,
sum('#skF_1',n5) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_27092,c_1340]) ).
tff(c_1426,plain,
succ(n4) = n5,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_29267,plain,
succ('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_29204,c_1426]) ).
tff(c_29302,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_29267,c_464]) ).
tff(c_29303,plain,
sum('#skF_2',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_29266,c_27152,c_29302]) ).
tff(c_29552,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_29230,c_29250,c_29268,c_29208,c_29303]) ).
tff(c_29553,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_440,c_29552]) ).
tff(c_29554,plain,
( ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n16 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_29202]) ).
tff(c_29556,plain,
n16 = '#skF_2',
inference(splitLeft,[status(thm)],[c_29554]) ).
tff(c_658,plain,
sum(n16,n10) = n5,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_29599,plain,
sum('#skF_2',n10) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_29556,c_658]) ).
tff(c_29604,plain,
sum('#skF_2',n15) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_29556,c_648]) ).
tff(c_29619,plain,
pred('#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_29556,c_1360]) ).
tff(c_27139,plain,
sum('#skF_1',n16) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_27092,c_1318]) ).
tff(c_29560,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_29556,c_29556,c_27139]) ).
tff(c_29620,plain,
pred(n17) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_29556,c_1358]) ).
tff(c_1402,plain,
succ(n16) = n17,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_29618,plain,
succ('#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_29556,c_1402]) ).
tff(c_29650,plain,
sum(pred(sum('#skF_1',n17)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_29618,c_464]) ).
tff(c_29651,plain,
sum(pred(n17),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_27138,c_29650]) ).
tff(c_29904,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_29599,c_29604,c_29619,c_29560,c_29620,c_29651]) ).
tff(c_29905,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_452,c_29904]) ).
tff(c_29906,plain,
( ( n15 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_29554]) ).
tff(c_29908,plain,
n5 = '#skF_2',
inference(splitLeft,[status(thm)],[c_29906]) ).
tff(c_1122,plain,
sum(n5,n9) = n14,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_29928,plain,
sum('#skF_2',n9) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_29908,c_1122]) ).
tff(c_29931,plain,
sum('#skF_2',n4) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_29908,c_1132]) ).
tff(c_29971,plain,
pred('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_29908,c_1382]) ).
tff(c_29912,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_29908,c_29908,c_27152]) ).
tff(c_29973,plain,
pred(n6) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_29908,c_1380]) ).
tff(c_27106,plain,
sum('#skF_1',n6) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_27092,c_1338]) ).
tff(c_1424,plain,
succ(n5) = n6,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_29970,plain,
succ('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_29908,c_1424]) ).
tff(c_30002,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_29970,c_464]) ).
tff(c_30003,plain,
sum('#skF_2',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_29973,c_27106,c_30002]) ).
tff(c_30256,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_29928,c_29931,c_29971,c_29912,c_30003]) ).
tff(c_30257,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_434,c_30256]) ).
tff(c_30258,plain,
( ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_29906]) ).
tff(c_30260,plain,
n15 = '#skF_2',
inference(splitLeft,[status(thm)],[c_30258]) ).
tff(c_704,plain,
sum(n15,n8) = n2,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_30298,plain,
sum('#skF_2',n8) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_30260,c_704]) ).
tff(c_30304,plain,
sum('#skF_2',n14) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_30260,c_692]) ).
tff(c_30322,plain,
pred('#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_30260,c_1362]) ).
tff(c_27102,plain,
sum('#skF_1',n15) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_27092,c_1320]) ).
tff(c_30262,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_30260,c_30260,c_27102]) ).
tff(c_30323,plain,
pred(n16) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_30260,c_1360]) ).
tff(c_1404,plain,
succ(n15) = n16,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_30325,plain,
succ('#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_30260,c_1404]) ).
tff(c_30350,plain,
sum(pred(sum('#skF_1',n16)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_30325,c_464]) ).
tff(c_30351,plain,
sum(pred(n16),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_27139,c_30350]) ).
tff(c_30608,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_30298,c_30304,c_30322,c_30262,c_30323,c_30351]) ).
tff(c_30609,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_458,c_30608]) ).
tff(c_30610,plain,
( ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_30258]) ).
tff(c_30612,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_30610]) ).
tff(c_1076,plain,
sum(n6,n11) = n17,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_30644,plain,
sum('#skF_2',n11) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_30612,c_1076]) ).
tff(c_30670,plain,
sum('#skF_2',n5) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_30612,c_1088]) ).
tff(c_30677,plain,
pred('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_30612,c_1380]) ).
tff(c_30613,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_30612,c_30612,c_27106]) ).
tff(c_30675,plain,
pred(n7) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_30612,c_1378]) ).
tff(c_27119,plain,
sum('#skF_1',n7) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_27092,c_1336]) ).
tff(c_1422,plain,
succ(n6) = n7,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_30676,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_30612,c_1422]) ).
tff(c_30714,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_30676,c_464]) ).
tff(c_30715,plain,
sum('#skF_2',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_30675,c_27119,c_30714]) ).
tff(c_30960,plain,
n17 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_30644,c_30670,c_30677,c_30613,c_30715]) ).
tff(c_30961,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428,c_30960]) ).
tff(c_30962,plain,
( ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_30610]) ).
tff(c_30964,plain,
n14 = '#skF_2',
inference(splitLeft,[status(thm)],[c_30962]) ).
tff(c_750,plain,
sum(n14,n6) = n20,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_31001,plain,
sum('#skF_2',n6) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_30964,c_750]) ).
tff(c_30974,plain,
sum('#skF_2',n13) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_30964,c_736]) ).
tff(c_31027,plain,
pred('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_30964,c_1364]) ).
tff(c_27154,plain,
sum('#skF_1',n14) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_27092,c_1322]) ).
tff(c_30967,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_30964,c_30964,c_27154]) ).
tff(c_31026,plain,
pred(n15) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_30964,c_1362]) ).
tff(c_1406,plain,
succ(n14) = n15,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_31029,plain,
succ('#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_30964,c_1406]) ).
tff(c_31054,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_31029,c_464]) ).
tff(c_31055,plain,
sum(pred(n15),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_27102,c_31054]) ).
tff(c_31312,plain,
n20 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_31001,c_30974,c_31027,c_30967,c_31026,c_31055]) ).
tff(c_31313,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422,c_31312]) ).
tff(c_31314,plain,
( ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_30962]) ).
tff(c_31316,plain,
n7 = '#skF_2',
inference(splitLeft,[status(thm)],[c_31314]) ).
tff(c_1030,plain,
sum(n7,n13) = n20,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_31343,plain,
sum('#skF_2',n13) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_31316,c_1030]) ).
tff(c_31335,plain,
sum('#skF_2',n6) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_31316,c_1044]) ).
tff(c_31378,plain,
pred('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_31316,c_1378]) ).
tff(c_31317,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_31316,c_31316,c_27119]) ).
tff(c_31380,plain,
pred(n8) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_31316,c_1376]) ).
tff(c_27094,plain,
sum('#skF_1',n8) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_27092,c_1334]) ).
tff(c_1420,plain,
succ(n7) = n8,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_31381,plain,
succ('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_31316,c_1420]) ).
tff(c_31406,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_31381,c_464]) ).
tff(c_31407,plain,
sum(pred(n8),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_27094,c_31406]) ).
tff(c_31664,plain,
n20 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_31343,c_31335,c_31378,c_31317,c_31380,c_31407]) ).
tff(c_31665,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422,c_31664]) ).
tff(c_31666,plain,
( ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_31314]) ).
tff(c_31668,plain,
n13 = '#skF_2',
inference(splitLeft,[status(thm)],[c_31666]) ).
tff(c_796,plain,
sum(n13,n4) = n17,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_31706,plain,
sum('#skF_2',n4) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_31668,c_796]) ).
tff(c_31684,plain,
sum('#skF_2',n12) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_31668,c_780]) ).
tff(c_31733,plain,
pred('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_31668,c_1366]) ).
tff(c_27153,plain,
sum('#skF_1',n13) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_27092,c_1324]) ).
tff(c_31671,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_31668,c_31668,c_27153]) ).
tff(c_31731,plain,
pred(n14) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_31668,c_1364]) ).
tff(c_1408,plain,
succ(n13) = n14,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_31732,plain,
succ('#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_31668,c_1408]) ).
tff(c_31762,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_31732,c_464]) ).
tff(c_31763,plain,
sum(pred(n14),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_27154,c_31762]) ).
tff(c_32016,plain,
n17 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_31706,c_31684,c_31733,c_31671,c_31731,c_31763]) ).
tff(c_32017,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428,c_32016]) ).
tff(c_32018,plain,
( ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_31666]) ).
tff(c_32020,plain,
n8 = '#skF_2',
inference(splitLeft,[status(thm)],[c_32018]) ).
tff(c_984,plain,
sum(n8,n15) = n2,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_32055,plain,
sum('#skF_2',n15) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_32020,c_984]) ).
tff(c_32044,plain,
sum('#skF_2',n7) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_32020,c_1000]) ).
tff(c_32083,plain,
pred('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_32020,c_1376]) ).
tff(c_32023,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_32020,c_32020,c_27094]) ).
tff(c_32084,plain,
pred(n9) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_32020,c_1374]) ).
tff(c_27098,plain,
sum('#skF_1',n9) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_27092,c_1332]) ).
tff(c_1418,plain,
succ(n8) = n9,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_32082,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_32020,c_1418]) ).
tff(c_32122,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_32082,c_464]) ).
tff(c_32123,plain,
sum('#skF_2',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_32084,c_27098,c_32122]) ).
tff(c_32368,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_32055,c_32044,c_32083,c_32023,c_32123]) ).
tff(c_32369,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_458,c_32368]) ).
tff(c_32370,plain,
( ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_32018]) ).
tff(c_32372,plain,
n12 = '#skF_2',
inference(splitLeft,[status(thm)],[c_32370]) ).
tff(c_32409,plain,
sum('#skF_2',n2) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_32372,c_842]) ).
tff(c_32403,plain,
sum('#skF_2',n11) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_32372,c_824]) ).
tff(c_32437,plain,
pred('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_32372,c_1368]) ).
tff(c_27107,plain,
sum('#skF_1',n12) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_27092,c_1326]) ).
tff(c_32374,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_32372,c_32372,c_27107]) ).
tff(c_32436,plain,
pred(n13) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_32372,c_1366]) ).
tff(c_1410,plain,
succ(n12) = n13,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_32435,plain,
succ('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_32372,c_1410]) ).
tff(c_32470,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_32435,c_464]) ).
tff(c_32471,plain,
sum('#skF_2',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_32436,c_27153,c_32470]) ).
tff(c_32720,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_32409,c_32403,c_32437,c_32374,c_32471]) ).
tff(c_32721,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_434,c_32720]) ).
tff(c_32722,plain,
( ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_32370]) ).
tff(c_32724,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_32722]) ).
tff(c_938,plain,
sum(n9,n17) = n5,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_32783,plain,
sum('#skF_2',n17) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_32724,c_938]) ).
tff(c_32754,plain,
sum('#skF_2',n8) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_32724,c_956]) ).
tff(c_32788,plain,
pred('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_32724,c_1374]) ).
tff(c_32726,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_32724,c_32724,c_27098]) ).
tff(c_32789,plain,
pred(n10) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_32724,c_1372]) ).
tff(c_27116,plain,
sum('#skF_1',n10) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_27092,c_1330]) ).
tff(c_1416,plain,
succ(n9) = n10,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_32786,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_32724,c_1416]) ).
tff(c_32814,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_32786,c_464]) ).
tff(c_32815,plain,
sum(pred(n10),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_27116,c_32814]) ).
tff(c_33072,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_32783,c_32754,c_32788,c_32726,c_32789,c_32815]) ).
tff(c_33073,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_452,c_33072]) ).
tff(c_33074,plain,
( ( n10 = '#skF_2' )
| ( n11 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_32722]) ).
tff(c_33076,plain,
n11 = '#skF_2',
inference(splitLeft,[status(thm)],[c_33074]) ).
tff(c_33142,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_33076,c_440]) ).
tff(c_27140,plain,
sum(n11,'#skF_1') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_27092,c_888]) ).
tff(c_33079,plain,
sum('#skF_2','#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_33076,c_33076,c_27140]) ).
tff(c_27122,plain,
sum(n11,n10) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_27092,c_868]) ).
tff(c_33078,plain,
sum('#skF_2',n10) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_33076,c_27122]) ).
tff(c_33141,plain,
pred('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_33076,c_1370]) ).
tff(c_27142,plain,
sum('#skF_1',n11) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_27092,c_1328]) ).
tff(c_33080,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_33076,c_33076,c_27142]) ).
tff(c_33140,plain,
pred(n12) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_33076,c_1368]) ).
tff(c_1412,plain,
succ(n11) = n12,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33138,plain,
succ('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_33076,c_1412]) ).
tff(c_33166,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_33138,c_464]) ).
tff(c_33167,plain,
sum(pred(n12),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_27107,c_33166]) ).
tff(c_33424,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_33079,c_33078,c_33141,c_33080,c_33140,c_33167]) ).
tff(c_33425,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33142,c_33424]) ).
tff(c_33426,plain,
n10 = '#skF_2',
inference(splitRight,[status(thm)],[c_33074]) ).
tff(c_892,plain,
sum(n10,n19) = n8,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33478,plain,
sum('#skF_2',n19) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_33426,c_892]) ).
tff(c_33447,plain,
sum('#skF_2',n9) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_33426,c_912]) ).
tff(c_33492,plain,
pred('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_33426,c_1372]) ).
tff(c_33429,plain,
sum('#skF_1','#skF_2') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_33426,c_33426,c_27116]) ).
tff(c_33491,plain,
pred(n11) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_33426,c_1370]) ).
tff(c_1414,plain,
succ(n10) = n11,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33489,plain,
succ('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_33426,c_1414]) ).
tff(c_33525,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_33489,c_464]) ).
tff(c_33526,plain,
sum('#skF_2',sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_33491,c_27142,c_33525]) ).
tff(c_33775,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_33478,c_33447,c_33492,c_33429,c_33526]) ).
tff(c_33776,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_446,c_33775]) ).
tff(c_33777,plain,
( ( n1 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n18 = '#skF_1' )
| ( n19 = '#skF_1' )
| ( n20 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_468]) ).
tff(c_34130,plain,
( ( n1 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n18 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n20 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_33777]) ).
tff(c_34131,plain,
n20 = '#skF_1',
inference(splitLeft,[status(thm)],[c_34130]) ).
tff(c_33786,plain,
sum(n20,'#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_472]) ).
tff(c_34133,plain,
sum('#skF_1','#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_34131,c_33786]) ).
tff(c_33842,plain,
pred('#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_1354]) ).
tff(c_33810,plain,
sum(n20,n20) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_470]) ).
tff(c_34137,plain,
sum('#skF_1','#skF_1') = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_34131,c_34131,c_33810]) ).
tff(c_33840,plain,
succ('#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_1396]) ).
tff(c_33877,plain,
sum(pred(sum('#skF_1',n20)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_33840,c_464]) ).
tff(c_34132,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_34131,c_33877]) ).
tff(c_34478,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_564,c_33829,c_1356,c_34133,c_33842,c_34137,c_34132]) ).
tff(c_34479,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_438,c_34478]) ).
tff(c_34480,plain,
( ( '#skF_2' = '#skF_1' )
| ( n18 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_34130]) ).
tff(c_34482,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_34480]) ).
tff(c_34488,plain,
sum('#skF_1','#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_34482,c_33839]) ).
tff(c_34510,plain,
sum('#skF_1',n20) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_34482,c_1268]) ).
tff(c_34588,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_34510,c_33877]) ).
tff(c_34589,plain,
sum(n20,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1392,c_34588]) ).
tff(c_34830,plain,
n16 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_476,c_33813,c_33843,c_34488,c_34589]) ).
tff(c_34831,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430,c_34830]) ).
tff(c_34832,plain,
( ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n18 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_34480]) ).
tff(c_34834,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_34832]) ).
tff(c_34877,plain,
sum('#skF_1',n20) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_34834,c_33796]) ).
tff(c_33826,plain,
sum('#skF_2',n16) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_520]) ).
tff(c_34870,plain,
sum('#skF_1',n16) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_34834,c_33826]) ).
tff(c_34838,plain,
sum('#skF_1','#skF_1') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_34834,c_34834,c_33813]) ).
tff(c_34835,plain,
sum(pred(sum('#skF_1',n20)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_34834,c_34834,c_33877]) ).
tff(c_35186,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_608,c_1356,c_34877,c_34870,c_1358,c_34838,c_34835]) ).
tff(c_35187,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_442,c_35186]) ).
tff(c_35188,plain,
( ( n18 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_34832]) ).
tff(c_35190,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_35188]) ).
tff(c_1228,plain,
sum(n2,n19) = n0,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33825,plain,
sum(n2,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_1228]) ).
tff(c_35193,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_35190,c_33825]) ).
tff(c_35236,plain,
sum('#skF_1',n20) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_35190,c_1226]) ).
tff(c_35424,plain,
sum(pred(n1),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_35236,c_33877]) ).
tff(c_35425,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1390,c_35424]) ).
tff(c_35538,plain,
n18 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1314,c_33796,c_1392,c_35193,c_35425]) ).
tff(c_35539,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426,c_35538]) ).
tff(c_35540,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n18 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_35188]) ).
tff(c_35542,plain,
n18 = '#skF_1',
inference(splitLeft,[status(thm)],[c_35540]) ).
tff(c_556,plain,
sum(n18,n19) = n16,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33790,plain,
sum(n18,'#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_556]) ).
tff(c_35544,plain,
sum('#skF_1','#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_35542,c_33790]) ).
tff(c_35562,plain,
sum('#skF_1',n20) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_35542,c_554]) ).
tff(c_35716,plain,
sum(pred(n17),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_35562,c_33877]) ).
tff(c_35717,plain,
sum(n16,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1358,c_35716]) ).
tff(c_35890,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_652,c_33799,c_1360,c_35544,c_35717]) ).
tff(c_35891,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_446,c_35890]) ).
tff(c_35892,plain,
( ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_35540]) ).
tff(c_35894,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_35892]) ).
tff(c_1186,plain,
sum(n3,n19) = n1,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33836,plain,
sum(n3,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_1186]) ).
tff(c_35898,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_35894,c_33836]) ).
tff(c_35925,plain,
sum('#skF_1',n20) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_35894,c_1184]) ).
tff(c_36080,plain,
sum(pred(n2),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_35925,c_33877]) ).
tff(c_36081,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1388,c_36080]) ).
tff(c_36242,plain,
n20 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_33839,c_33791,c_1390,c_35898,c_36081]) ).
tff(c_36243,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422,c_36242]) ).
tff(c_36244,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_35892]) ).
tff(c_36246,plain,
n17 = '#skF_1',
inference(splitLeft,[status(thm)],[c_36244]) ).
tff(c_598,plain,
sum(n17,n19) = n15,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33823,plain,
sum(n17,'#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_598]) ).
tff(c_36250,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_36246,c_33823]) ).
tff(c_36301,plain,
sum('#skF_1',n20) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_36246,c_596]) ).
tff(c_36540,plain,
sum(pred(n16),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_36301,c_33877]) ).
tff(c_36541,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1360,c_36540]) ).
tff(c_36594,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_696,c_33789,c_1362,c_36250,c_36541]) ).
tff(c_36595,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_450,c_36594]) ).
tff(c_36596,plain,
( ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_36244]) ).
tff(c_36598,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_36596]) ).
tff(c_1144,plain,
sum(n4,n19) = n2,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33812,plain,
sum(n4,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_1144]) ).
tff(c_36603,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_36598,c_33812]) ).
tff(c_36640,plain,
sum('#skF_1',n20) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_36598,c_1142]) ).
tff(c_36800,plain,
sum(pred(n3),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_36640,c_33877]) ).
tff(c_36801,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1386,c_36800]) ).
tff(c_36946,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1226,c_33792,c_1388,c_36603,c_36801]) ).
tff(c_36947,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_460,c_36946]) ).
tff(c_36948,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_36596]) ).
tff(c_36950,plain,
n16 = '#skF_1',
inference(splitLeft,[status(thm)],[c_36948]) ).
tff(c_640,plain,
sum(n16,n19) = n14,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33820,plain,
sum(n16,'#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_640]) ).
tff(c_36954,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_36950,c_33820]) ).
tff(c_37003,plain,
sum('#skF_1',n20) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_36950,c_638]) ).
tff(c_37060,plain,
sum(pred(n15),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_37003,c_33877]) ).
tff(c_37061,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1362,c_37060]) ).
tff(c_37298,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_740,c_33809,c_1364,c_36954,c_37061]) ).
tff(c_37299,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_454,c_37298]) ).
tff(c_37300,plain,
( ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_36948]) ).
tff(c_37302,plain,
n5 = '#skF_1',
inference(splitLeft,[status(thm)],[c_37300]) ).
tff(c_33782,plain,
sum(n5,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_1102]) ).
tff(c_37308,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_37302,c_33782]) ).
tff(c_37328,plain,
sum('#skF_1',n20) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_37302,c_1100]) ).
tff(c_37516,plain,
sum(pred(n4),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_37328,c_33877]) ).
tff(c_37517,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1384,c_37516]) ).
tff(c_37650,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1224,c_33793,c_1386,c_37308,c_37517]) ).
tff(c_37651,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_456,c_37650]) ).
tff(c_37652,plain,
( ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_37300]) ).
tff(c_37654,plain,
n15 = '#skF_1',
inference(splitLeft,[status(thm)],[c_37652]) ).
tff(c_33818,plain,
sum(n15,'#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_682]) ).
tff(c_37660,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_37654,c_33818]) ).
tff(c_37705,plain,
sum('#skF_1',n20) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_37654,c_680]) ).
tff(c_37940,plain,
sum(pred(n14),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_37705,c_33877]) ).
tff(c_37941,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1364,c_37940]) ).
tff(c_38002,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_784,c_33828,c_1366,c_37660,c_37941]) ).
tff(c_38003,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_458,c_38002]) ).
tff(c_38004,plain,
( ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_37652]) ).
tff(c_38006,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_38004]) ).
tff(c_1060,plain,
sum(n6,n19) = n4,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33808,plain,
sum(n6,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_1060]) ).
tff(c_38009,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_38006,c_33808]) ).
tff(c_38047,plain,
sum('#skF_1',n20) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_38006,c_1058]) ).
tff(c_38212,plain,
sum(pred(n5),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_38047,c_33877]) ).
tff(c_38213,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1382,c_38212]) ).
tff(c_38354,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1180,c_33794,c_1384,c_38009,c_38213]) ).
tff(c_38355,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_452,c_38354]) ).
tff(c_38356,plain,
( ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_38004]) ).
tff(c_38358,plain,
n14 = '#skF_1',
inference(splitLeft,[status(thm)],[c_38356]) ).
tff(c_724,plain,
sum(n14,n19) = n12,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33815,plain,
sum(n14,'#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_724]) ).
tff(c_38361,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_38358,c_33815]) ).
tff(c_38410,plain,
sum('#skF_1',n20) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_38358,c_722]) ).
tff(c_38668,plain,
sum(pred(n13),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_38410,c_33877]) ).
tff(c_38669,plain,
sum(n12,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1366,c_38668]) ).
tff(c_38706,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_828,c_33816,c_1368,c_38361,c_38669]) ).
tff(c_38707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_462,c_38706]) ).
tff(c_38708,plain,
( ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_38356]) ).
tff(c_38710,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_38708]) ).
tff(c_38776,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_38710,c_448]) ).
tff(c_38754,plain,
sum(n5,n2) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_38710,c_1136]) ).
tff(c_544,plain,
sum(n19,n4) = n2,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33811,plain,
sum('#skF_2',n4) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_544]) ).
tff(c_1018,plain,
sum(n7,n19) = n5,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33803,plain,
sum(n7,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_1018]) ).
tff(c_38714,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_38710,c_33803]) ).
tff(c_38744,plain,
sum('#skF_1',n20) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_38710,c_1016]) ).
tff(c_38984,plain,
sum(pred(n6),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_38744,c_33877]) ).
tff(c_38985,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1380,c_38984]) ).
tff(c_39058,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_38754,c_33811,c_1382,c_38714,c_38985]) ).
tff(c_39059,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38776,c_39058]) ).
tff(c_39060,plain,
( ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_38708]) ).
tff(c_39062,plain,
n13 = '#skF_1',
inference(splitLeft,[status(thm)],[c_39060]) ).
tff(c_766,plain,
sum(n13,n19) = n11,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33802,plain,
sum(n13,'#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_766]) ).
tff(c_39065,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_39062,c_33802]) ).
tff(c_39088,plain,
sum('#skF_1',n20) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_39062,c_764]) ).
tff(c_39172,plain,
sum(pred(n12),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_39088,c_33877]) ).
tff(c_39173,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1368,c_39172]) ).
tff(c_39410,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_33821,c_33831,c_1370,c_39065,c_39173]) ).
tff(c_39411,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33844,c_39410]) ).
tff(c_39412,plain,
( ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_39060]) ).
tff(c_39414,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_39412]) ).
tff(c_976,plain,
sum(n8,n19) = n6,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33785,plain,
sum(n8,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_976]) ).
tff(c_39420,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_39414,c_33785]) ).
tff(c_39436,plain,
sum('#skF_1',n20) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_39414,c_974]) ).
tff(c_39672,plain,
sum(pred(n7),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_39436,c_33877]) ).
tff(c_39673,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1378,c_39672]) ).
tff(c_39762,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1092,c_33798,c_1380,c_39420,c_39673]) ).
tff(c_39763,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_444,c_39762]) ).
tff(c_39764,plain,
( ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_39412]) ).
tff(c_39766,plain,
n12 = '#skF_1',
inference(splitLeft,[status(thm)],[c_39764]) ).
tff(c_808,plain,
sum(n12,n19) = n10,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33833,plain,
sum(n12,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_808]) ).
tff(c_39771,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_39766,c_33833]) ).
tff(c_39822,plain,
sum('#skF_1',n20) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_39766,c_806]) ).
tff(c_39912,plain,
sum(pred(n11),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_39822,c_33877]) ).
tff(c_39913,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1370,c_39912]) ).
tff(c_40114,plain,
n17 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_916,c_33807,c_1372,c_39771,c_39913]) ).
tff(c_40115,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428,c_40114]) ).
tff(c_40116,plain,
( ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_39764]) ).
tff(c_40118,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_40116]) ).
tff(c_934,plain,
sum(n9,n19) = n7,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33781,plain,
sum(n9,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_934]) ).
tff(c_40123,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_40118,c_33781]) ).
tff(c_40129,plain,
sum('#skF_1',n20) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_40118,c_932]) ).
tff(c_40248,plain,
sum(pred(n8),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_40129,c_33877]) ).
tff(c_40249,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1376,c_40248]) ).
tff(c_40466,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1048,c_33837,c_1378,c_40123,c_40249]) ).
tff(c_40467,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_440,c_40466]) ).
tff(c_40468,plain,
( ( n10 = '#skF_1' )
| ( n11 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_40116]) ).
tff(c_40470,plain,
n11 = '#skF_1',
inference(splitLeft,[status(thm)],[c_40468]) ).
tff(c_850,plain,
sum(n11,n19) = n9,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_33787,plain,
sum(n11,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_850]) ).
tff(c_40476,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_40470,c_33787]) ).
tff(c_40524,plain,
sum('#skF_1',n20) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_40470,c_848]) ).
tff(c_40620,plain,
sum(pred(n10),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_40524,c_33877]) ).
tff(c_40621,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1372,c_40620]) ).
tff(c_40818,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_960,c_33783,c_1374,c_40476,c_40621]) ).
tff(c_40819,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_432,c_40818]) ).
tff(c_40820,plain,
n10 = '#skF_1',
inference(splitRight,[status(thm)],[c_40468]) ).
tff(c_40851,plain,
sum('#skF_1',n20) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_40820,c_890]) ).
tff(c_33800,plain,
sum('#skF_2',n7) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_538]) ).
tff(c_33830,plain,
sum(n10,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_33779,c_892]) ).
tff(c_40826,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_40820,c_33830]) ).
tff(c_41003,plain,
sum(pred(sum('#skF_1',n20)),sum('#skF_2',pred(n8))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_40826,c_33877]) ).
tff(c_41004,plain,
sum(pred(sum('#skF_1',n20)),n5) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_33800,c_1376,c_41003]) ).
tff(c_41169,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1004,c_1374,c_40851,c_41004]) ).
tff(c_41170,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_436,c_41169]) ).
tff(c_41171,plain,
( ( n18 = '#skF_2' )
| ( n17 = '#skF_2' )
| ( n16 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' )
| ( n2 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_27090]) ).
tff(c_47475,plain,
n2 = '#skF_2',
inference(splitLeft,[status(thm)],[c_41171]) ).
tff(c_1242,plain,
sum(n2,n12) = n14,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_48203,plain,
sum('#skF_2',n12) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1242]) ).
tff(c_48208,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_458]) ).
tff(c_864,plain,
sum(n11,n12) = n2,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_48178,plain,
sum(n11,n12) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_864]) ).
tff(c_1246,plain,
sum(n2,n10) = n12,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_48162,plain,
sum('#skF_2',n10) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1246]) ).
tff(c_732,plain,
sum(n14,n15) = n8,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1240,plain,
sum(n2,n13) = n15,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_48197,plain,
sum('#skF_2',n13) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1240]) ).
tff(c_908,plain,
sum(n10,n11) = n0,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1248,plain,
sum(n2,n9) = n11,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_48166,plain,
sum('#skF_2',n9) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1248]) ).
tff(c_688,plain,
sum(n15,n16) = n10,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_48147,plain,
sum('#skF_2',n14) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1238]) ).
tff(c_952,plain,
sum(n9,n10) = n19,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1250,plain,
sum(n2,n8) = n10,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_48159,plain,
sum('#skF_2',n8) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1250]) ).
tff(c_644,plain,
sum(n16,n17) = n12,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1236,plain,
sum(n2,n15) = n17,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_48179,plain,
sum('#skF_2',n15) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1236]) ).
tff(c_996,plain,
sum(n8,n9) = n17,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1252,plain,
sum(n2,n7) = n9,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_48157,plain,
sum('#skF_2',n7) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1252]) ).
tff(c_600,plain,
sum(n17,n18) = n14,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1234,plain,
sum(n2,n16) = n18,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_48196,plain,
sum('#skF_2',n16) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1234]) ).
tff(c_1040,plain,
sum(n7,n8) = n15,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1254,plain,
sum(n2,n6) = n8,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_48167,plain,
sum('#skF_2',n6) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1254]) ).
tff(c_1084,plain,
sum(n6,n7) = n13,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1256,plain,
sum(n2,n5) = n7,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_48177,plain,
sum('#skF_2',n5) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1256]) ).
tff(c_1230,plain,
sum(n2,n18) = n20,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_48175,plain,
sum('#skF_2',n18) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1230]) ).
tff(c_1128,plain,
sum(n5,n6) = n11,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1258,plain,
sum(n2,n4) = n6,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_48173,plain,
sum('#skF_2',n4) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1258]) ).
tff(c_48188,plain,
sum('#skF_2',n19) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1228]) ).
tff(c_1172,plain,
sum(n4,n5) = n9,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_48186,plain,
sum('#skF_2',n20) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1226]) ).
tff(c_1216,plain,
sum(n3,n4) = n7,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_47489,plain,
sum('#skF_2','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_47475,c_1262]) ).
tff(c_47537,plain,
pred(n3) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1386]) ).
tff(c_936,plain,
sum(n9,n18) = n6,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_41173,plain,
n20 = '#skF_1',
inference(splitLeft,[status(thm)],[c_33777]) ).
tff(c_41198,plain,
sum(n10,'#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_41173,c_890]) ).
tff(c_982,plain,
sum(n8,n16) = n3,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1028,plain,
sum(n7,n14) = n0,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_840,plain,
sum(n12,n3) = n15,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1074,plain,
sum(n6,n12) = n18,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_794,plain,
sum(n13,n5) = n18,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1120,plain,
sum(n5,n10) = n15,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_748,plain,
sum(n14,n7) = n0,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1166,plain,
sum(n4,n8) = n12,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_702,plain,
sum(n15,n9) = n3,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1212,plain,
sum(n3,n6) = n9,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_656,plain,
sum(n16,n11) = n6,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_610,plain,
sum(n17,n13) = n9,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_41520,plain,
n2 = '#skF_2',
inference(splitLeft,[status(thm)],[c_41171]) ).
tff(c_41535,plain,
sum(n1,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_41520,c_1304]) ).
tff(c_41529,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_41520,c_41520,c_1266]) ).
tff(c_41227,plain,
sum('#skF_1',n2) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_41173,c_506]) ).
tff(c_41526,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_41520,c_41227]) ).
tff(c_41583,plain,
pred('#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_41520,c_1388]) ).
tff(c_41180,plain,
sum('#skF_1',n3) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_41173,c_504]) ).
tff(c_41521,plain,
sum('#skF_1',n3) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_41520,c_41180]) ).
tff(c_41584,plain,
succ('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_41520,c_1430]) ).
tff(c_41622,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_41584,c_464]) ).
tff(c_41867,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_41535,c_41529,c_1390,c_41526,c_41583,c_41521,c_41622]) ).
tff(c_41868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_456,c_41867]) ).
tff(c_41869,plain,
( ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n16 = '#skF_2' )
| ( n17 = '#skF_2' )
| ( n18 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_41171]) ).
tff(c_41871,plain,
n18 = '#skF_2',
inference(splitLeft,[status(thm)],[c_41869]) ).
tff(c_41886,plain,
sum('#skF_2',n16) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_41871,c_562]) ).
tff(c_41200,plain,
sum('#skF_1',n18) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_41173,c_474]) ).
tff(c_41874,plain,
sum('#skF_1','#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_41871,c_41200]) ).
tff(c_41936,plain,
pred('#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_41871,c_1356]) ).
tff(c_41184,plain,
sum('#skF_1',n19) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_41173,c_472]) ).
tff(c_41877,plain,
sum('#skF_1',n19) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_41871,c_41184]) ).
tff(c_41933,plain,
succ('#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_41871,c_1398]) ).
tff(c_41965,plain,
sum(pred(sum('#skF_1',n19)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_41933,c_464]) ).
tff(c_42202,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_610,c_41886,c_1358,c_41874,c_41936,c_41877,c_41965]) ).
tff(c_42203,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_444,c_42202]) ).
tff(c_42204,plain,
( ( n17 = '#skF_2' )
| ( n16 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_41869]) ).
tff(c_42206,plain,
n3 = '#skF_2',
inference(splitLeft,[status(thm)],[c_42204]) ).
tff(c_42243,plain,
sum('#skF_2',n1) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_42206,c_1222]) ).
tff(c_42207,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_42206,c_41180]) ).
tff(c_42268,plain,
pred('#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_42206,c_1386]) ).
tff(c_41191,plain,
sum('#skF_1',n4) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_41173,c_502]) ).
tff(c_42212,plain,
sum('#skF_1',n4) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_42206,c_41191]) ).
tff(c_42271,plain,
succ('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_42206,c_1428]) ).
tff(c_42296,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_42271,c_464]) ).
tff(c_42541,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1258,c_42243,c_1388,c_42207,c_42268,c_42212,c_42296]) ).
tff(c_42542,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_450,c_42541]) ).
tff(c_42543,plain,
( ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n16 = '#skF_2' )
| ( n17 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_42204]) ).
tff(c_42545,plain,
n17 = '#skF_2',
inference(splitLeft,[status(thm)],[c_42543]) ).
tff(c_42594,plain,
sum('#skF_2',n15) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_42545,c_606]) ).
tff(c_41199,plain,
sum('#skF_1',n17) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_41173,c_476]) ).
tff(c_42549,plain,
sum('#skF_1','#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_42545,c_41199]) ).
tff(c_42608,plain,
pred('#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_42545,c_1358]) ).
tff(c_42547,plain,
sum('#skF_1',n18) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_42545,c_41200]) ).
tff(c_42609,plain,
succ('#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_42545,c_1400]) ).
tff(c_42639,plain,
sum(pred(sum('#skF_1',n18)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_42609,c_464]) ).
tff(c_42884,plain,
sum(n16,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_42608,c_42547,c_42639]) ).
tff(c_42893,plain,
sum(n16,sum('#skF_2',pred(n16))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_42549,c_42884]) ).
tff(c_42894,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_656,c_42594,c_1360,c_42893]) ).
tff(c_42896,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_450,c_42894]) ).
tff(c_42897,plain,
( ( n16 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_42543]) ).
tff(c_42899,plain,
n4 = '#skF_2',
inference(splitLeft,[status(thm)],[c_42897]) ).
tff(c_42963,plain,
pred('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_42899,c_1384]) ).
tff(c_41232,plain,
sum('#skF_1',n5) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_41173,c_500]) ).
tff(c_42901,plain,
sum('#skF_1',n5) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_42899,c_41232]) ).
tff(c_42954,plain,
sum('#skF_2',n2) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_42899,c_1178]) ).
tff(c_42905,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_42899,c_41191]) ).
tff(c_42962,plain,
succ('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_42899,c_1426]) ).
tff(c_43001,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_42962,c_464]) ).
tff(c_43234,plain,
sum(pred(sum('#skF_1',n5)),n6) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_42954,c_1386,c_42905,c_43001]) ).
tff(c_43243,plain,
sum(pred('#skF_2'),n6) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_42901,c_43234]) ).
tff(c_43244,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1212,c_42963,c_43243]) ).
tff(c_43246,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_444,c_43244]) ).
tff(c_43247,plain,
( ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n16 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_42897]) ).
tff(c_43249,plain,
n16 = '#skF_2',
inference(splitLeft,[status(thm)],[c_43247]) ).
tff(c_43312,plain,
pred('#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_43249,c_1360]) ).
tff(c_43250,plain,
sum('#skF_1',n17) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_43249,c_41199]) ).
tff(c_43298,plain,
sum('#skF_2',n14) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_43249,c_650]) ).
tff(c_41233,plain,
sum('#skF_1',n16) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_41173,c_478]) ).
tff(c_43255,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_43249,c_41233]) ).
tff(c_43311,plain,
succ('#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_43249,c_1402]) ).
tff(c_43351,plain,
sum(pred(sum('#skF_1',n17)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_43311,c_464]) ).
tff(c_43588,plain,
sum(pred(sum('#skF_1',n17)),n9) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_43298,c_1362,c_43255,c_43351]) ).
tff(c_43593,plain,
sum(pred('#skF_2'),n9) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_43250,c_43588]) ).
tff(c_43594,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_702,c_43312,c_43593]) ).
tff(c_43596,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_456,c_43594]) ).
tff(c_43597,plain,
( ( n15 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_43247]) ).
tff(c_43599,plain,
n5 = '#skF_2',
inference(splitLeft,[status(thm)],[c_43597]) ).
tff(c_43662,plain,
pred('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_43599,c_1382]) ).
tff(c_41224,plain,
sum('#skF_1',n6) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_41173,c_498]) ).
tff(c_43604,plain,
sum('#skF_1',n6) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_43599,c_41224]) ).
tff(c_43649,plain,
sum('#skF_2',n3) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_43599,c_1134]) ).
tff(c_43601,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_43599,c_41232]) ).
tff(c_43661,plain,
succ('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_43599,c_1424]) ).
tff(c_43701,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_43661,c_464]) ).
tff(c_43946,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1166,c_43662,c_43604,c_43649,c_1384,c_43601,c_43701]) ).
tff(c_43947,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_438,c_43946]) ).
tff(c_43948,plain,
( ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_43597]) ).
tff(c_43950,plain,
n15 = '#skF_2',
inference(splitLeft,[status(thm)],[c_43948]) ).
tff(c_44012,plain,
pred('#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_43950,c_1362]) ).
tff(c_43956,plain,
sum('#skF_1',n16) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_43950,c_41233]) ).
tff(c_43995,plain,
sum('#skF_2',n13) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_43950,c_694]) ).
tff(c_41197,plain,
sum('#skF_1',n15) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_41173,c_480]) ).
tff(c_43952,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_43950,c_41197]) ).
tff(c_44015,plain,
succ('#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_43950,c_1404]) ).
tff(c_44040,plain,
sum(pred(sum('#skF_1',n16)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_44015,c_464]) ).
tff(c_44297,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_748,c_44012,c_43956,c_43995,c_1364,c_43952,c_44040]) ).
tff(c_44298,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_462,c_44297]) ).
tff(c_44299,plain,
( ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_43948]) ).
tff(c_44301,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_44299]) ).
tff(c_44315,plain,
sum('#skF_2',n4) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_44301,c_1090]) ).
tff(c_44305,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_44301,c_41224]) ).
tff(c_44366,plain,
pred('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_44301,c_1380]) ).
tff(c_41179,plain,
sum('#skF_1',n7) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_41173,c_496]) ).
tff(c_44302,plain,
sum('#skF_1',n7) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_44301,c_41179]) ).
tff(c_44365,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_44301,c_1422]) ).
tff(c_44403,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_44365,c_464]) ).
tff(c_44644,plain,
sum(pred('#skF_2'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_44302,c_44403]) ).
tff(c_44645,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_44366,c_44644]) ).
tff(c_44654,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1120,c_44315,c_1382,c_44305,c_44645]) ).
tff(c_44655,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_432,c_44654]) ).
tff(c_44656,plain,
( ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_44299]) ).
tff(c_44658,plain,
n14 = '#skF_2',
inference(splitLeft,[status(thm)],[c_44656]) ).
tff(c_44721,plain,
pred('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_44658,c_1364]) ).
tff(c_44660,plain,
sum('#skF_1',n15) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_44658,c_41197]) ).
tff(c_44671,plain,
sum('#skF_2',n12) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_44658,c_738]) ).
tff(c_41212,plain,
sum('#skF_1',n14) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_41173,c_482]) ).
tff(c_44662,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_44658,c_41212]) ).
tff(c_44723,plain,
succ('#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_44658,c_1406]) ).
tff(c_44748,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_44723,c_464]) ).
tff(c_44997,plain,
n18 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_794,c_44721,c_44660,c_44671,c_1366,c_44662,c_44748]) ).
tff(c_44998,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426,c_44997]) ).
tff(c_44999,plain,
( ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_44656]) ).
tff(c_45001,plain,
n7 = '#skF_2',
inference(splitLeft,[status(thm)],[c_44999]) ).
tff(c_45063,plain,
pred('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_45001,c_1378]) ).
tff(c_41177,plain,
sum('#skF_1',n8) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_41173,c_494]) ).
tff(c_45007,plain,
sum('#skF_1',n8) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_45001,c_41177]) ).
tff(c_45019,plain,
sum('#skF_2',n5) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_45001,c_1046]) ).
tff(c_45002,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_45001,c_41179]) ).
tff(c_45066,plain,
succ('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_45001,c_1420]) ).
tff(c_45091,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_45066,c_464]) ).
tff(c_45336,plain,
sum(pred(sum('#skF_1',n8)),sum('#skF_2',pred(n6))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_45002,c_45091]) ).
tff(c_45337,plain,
sum(pred(sum('#skF_1',n8)),n12) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_45019,c_1380,c_45336]) ).
tff(c_45354,plain,
n18 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1074,c_45063,c_45007,c_45337]) ).
tff(c_45355,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426,c_45354]) ).
tff(c_45356,plain,
( ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_44999]) ).
tff(c_45358,plain,
n13 = '#skF_2',
inference(splitLeft,[status(thm)],[c_45356]) ).
tff(c_45376,plain,
sum('#skF_2',n11) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_45358,c_782]) ).
tff(c_41176,plain,
sum('#skF_1',n13) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_41173,c_484]) ).
tff(c_45363,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_45358,c_41176]) ).
tff(c_45423,plain,
pred('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_45358,c_1366]) ).
tff(c_45359,plain,
sum('#skF_1',n14) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_45358,c_41212]) ).
tff(c_45422,plain,
succ('#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_45358,c_1408]) ).
tff(c_45460,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_45422,c_464]) ).
tff(c_45705,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_840,c_45376,c_1368,c_45363,c_45423,c_45359,c_45460]) ).
tff(c_45706,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_432,c_45705]) ).
tff(c_45707,plain,
( ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_45356]) ).
tff(c_45709,plain,
n8 = '#skF_2',
inference(splitLeft,[status(thm)],[c_45707]) ).
tff(c_45772,plain,
pred('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_45709,c_1376]) ).
tff(c_41192,plain,
sum('#skF_1',n9) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_41173,c_492]) ).
tff(c_45714,plain,
sum('#skF_1',n9) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_45709,c_41192]) ).
tff(c_45719,plain,
sum('#skF_2',n6) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_45709,c_1002]) ).
tff(c_45713,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_45709,c_41177]) ).
tff(c_45771,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_45709,c_1418]) ).
tff(c_45807,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_45771,c_464]) ).
tff(c_46048,plain,
sum(pred(sum('#skF_1',n9)),sum('#skF_2',pred(n7))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_45713,c_45807]) ).
tff(c_46049,plain,
sum(pred(sum('#skF_1',n9)),n14) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_45719,c_1378,c_46048]) ).
tff(c_46062,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1028,c_45772,c_45714,c_46049]) ).
tff(c_46063,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_462,c_46062]) ).
tff(c_46064,plain,
( ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_45707]) ).
tff(c_46066,plain,
n12 = '#skF_2',
inference(splitLeft,[status(thm)],[c_46064]) ).
tff(c_46132,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_46066,c_438]) ).
tff(c_46076,plain,
sum(n11,n1) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_46066,c_886]) ).
tff(c_46081,plain,
sum('#skF_2',n10) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_46066,c_826]) ).
tff(c_41222,plain,
sum('#skF_1',n12) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_41173,c_486]) ).
tff(c_46069,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_46066,c_41222]) ).
tff(c_46131,plain,
pred('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_46066,c_1368]) ).
tff(c_46071,plain,
sum('#skF_1',n13) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_46066,c_41176]) ).
tff(c_46129,plain,
succ('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_46066,c_1410]) ).
tff(c_46164,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_46129,c_464]) ).
tff(c_46393,plain,
sum(pred('#skF_2'),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_46071,c_46164]) ).
tff(c_46394,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_46131,c_46393]) ).
tff(c_46419,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_46076,c_46081,c_1370,c_46069,c_46394]) ).
tff(c_46420,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46132,c_46419]) ).
tff(c_46421,plain,
( ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_46064]) ).
tff(c_46423,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_46421]) ).
tff(c_46487,plain,
pred('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_46423,c_1374]) ).
tff(c_41203,plain,
sum('#skF_1',n10) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_41173,c_490]) ).
tff(c_46429,plain,
sum('#skF_1',n10) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_46423,c_41203]) ).
tff(c_46444,plain,
sum('#skF_2',n7) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_46423,c_958]) ).
tff(c_46427,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_46423,c_41192]) ).
tff(c_46485,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_46423,c_1416]) ).
tff(c_46513,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_46485,c_464]) ).
tff(c_46770,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_982,c_46487,c_46429,c_46444,c_1376,c_46427,c_46513]) ).
tff(c_46771,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_456,c_46770]) ).
tff(c_46772,plain,
( ( n10 = '#skF_2' )
| ( n11 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_46421]) ).
tff(c_46774,plain,
n11 = '#skF_2',
inference(splitLeft,[status(thm)],[c_46772]) ).
tff(c_41225,plain,
sum(n11,n9) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_41173,c_870]) ).
tff(c_46777,plain,
sum('#skF_2',n9) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_46774,c_41225]) ).
tff(c_41193,plain,
sum('#skF_1',n11) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_41173,c_488]) ).
tff(c_46780,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_46774,c_41193]) ).
tff(c_46839,plain,
pred('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_46774,c_1370]) ).
tff(c_46776,plain,
sum('#skF_1',n12) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_46774,c_41222]) ).
tff(c_46836,plain,
succ('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_46774,c_1412]) ).
tff(c_46864,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_46836,c_464]) ).
tff(c_47121,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_41198,c_46777,c_1372,c_46780,c_46839,c_46776,c_46864]) ).
tff(c_47122,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_444,c_47121]) ).
tff(c_47123,plain,
n10 = '#skF_2',
inference(splitRight,[status(thm)],[c_46772]) ).
tff(c_47134,plain,
sum('#skF_2',n8) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_47123,c_914]) ).
tff(c_47129,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_47123,c_41203]) ).
tff(c_47189,plain,
pred('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_47123,c_1372]) ).
tff(c_47128,plain,
sum('#skF_1',n11) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_47123,c_41193]) ).
tff(c_47186,plain,
succ('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_47123,c_1414]) ).
tff(c_47222,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_47186,c_464]) ).
tff(c_47471,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_936,c_47134,c_1374,c_47129,c_47189,c_47128,c_47222]) ).
tff(c_47472,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_450,c_47471]) ).
tff(c_47473,plain,
( ( n19 = '#skF_1' )
| ( n18 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' )
| ( n1 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_33777]) ).
tff(c_47476,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_47473]) ).
tff(c_47485,plain,
sum(n1,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1304]) ).
tff(c_47920,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_47476,c_47485]) ).
tff(c_47611,plain,
sum('#skF_1',n3) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_47476,c_1302]) ).
tff(c_47539,plain,
succ('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1430]) ).
tff(c_47662,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_47539,c_464]) ).
tff(c_48140,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1216,c_47489,c_47537,c_47920,c_1384,c_47611,c_47662]) ).
tff(c_48141,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_448,c_48140]) ).
tff(c_48142,plain,
( ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n18 = '#skF_1' )
| ( n19 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_47473]) ).
tff(c_48494,plain,
( ( '#skF_2' = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n18 = '#skF_1' )
| ( n19 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_48142]) ).
tff(c_48495,plain,
n19 = '#skF_1',
inference(splitLeft,[status(thm)],[c_48494]) ).
tff(c_48153,plain,
sum(n19,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_548]) ).
tff(c_48499,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_48495,c_48153]) ).
tff(c_48516,plain,
sum('#skF_1',n3) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_48495,c_546]) ).
tff(c_48206,plain,
succ('#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1430]) ).
tff(c_48233,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_48206,c_464]) ).
tff(c_48737,plain,
sum(pred(n1),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_48516,c_48233]) ).
tff(c_48738,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1390,c_48737]) ).
tff(c_48843,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1348,c_48186,c_1392,c_48499,c_48738]) ).
tff(c_48844,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_460,c_48843]) ).
tff(c_48845,plain,
( ( n18 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_48494]) ).
tff(c_48847,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_48845]) ).
tff(c_48190,plain,
sum('#skF_2',n3) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1260]) ).
tff(c_48886,plain,
sum('#skF_1',n3) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_48847,c_48190]) ).
tff(c_48156,plain,
sum('#skF_2','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_47475,c_1262]) ).
tff(c_48871,plain,
sum('#skF_1','#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_48847,c_48847,c_48156]) ).
tff(c_48848,plain,
sum(pred(sum('#skF_1',n3)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_48847,c_48847,c_48233]) ).
tff(c_49199,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1172,c_48886,c_1384,c_48871,c_1382,c_48886,c_48848]) ).
tff(c_49200,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_444,c_49199]) ).
tff(c_49201,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n18 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_48845]) ).
tff(c_49203,plain,
n18 = '#skF_1',
inference(splitLeft,[status(thm)],[c_49201]) ).
tff(c_48187,plain,
sum(n18,'#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_590]) ).
tff(c_49206,plain,
sum('#skF_1','#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_49203,c_48187]) ).
tff(c_49252,plain,
sum('#skF_1',n3) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_49203,c_588]) ).
tff(c_49457,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_49252,c_48233]) ).
tff(c_49458,plain,
sum(n20,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1392,c_49457]) ).
tff(c_49551,plain,
n20 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_510,c_48188,c_1352,c_49206,c_49458]) ).
tff(c_49552,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422,c_49551]) ).
tff(c_49553,plain,
( ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_49201]) ).
tff(c_49555,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_49553]) ).
tff(c_48192,plain,
sum(n3,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1220]) ).
tff(c_49561,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_49555,c_48192]) ).
tff(c_49566,plain,
sum('#skF_1','#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_49555,c_49555,c_1218]) ).
tff(c_49556,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_49555,c_48233]) ).
tff(c_49902,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1128,c_48173,c_1382,c_49561,c_1380,c_49566,c_49556]) ).
tff(c_49903,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_440,c_49902]) ).
tff(c_49904,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_49553]) ).
tff(c_49906,plain,
n17 = '#skF_1',
inference(splitLeft,[status(thm)],[c_49904]) ).
tff(c_48184,plain,
sum(n17,'#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_632]) ).
tff(c_49907,plain,
sum('#skF_1','#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_49906,c_48184]) ).
tff(c_630,plain,
sum(n17,n3) = n20,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_49944,plain,
sum('#skF_1',n3) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_49906,c_630]) ).
tff(c_50168,plain,
sum(pred(n20),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_49944,c_48233]) ).
tff(c_50169,plain,
sum(n19,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1352,c_50168]) ).
tff(c_50254,plain,
n18 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_512,c_48175,c_1354,c_49907,c_50169]) ).
tff(c_50255,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426,c_50254]) ).
tff(c_50256,plain,
( ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_49904]) ).
tff(c_50258,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_50256]) ).
tff(c_48191,plain,
sum(n4,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1178]) ).
tff(c_50261,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_50258,c_48191]) ).
tff(c_50303,plain,
sum('#skF_1',n3) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_50258,c_1176]) ).
tff(c_50416,plain,
sum(pred(n7),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_50303,c_48233]) ).
tff(c_50417,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1378,c_50416]) ).
tff(c_50606,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1084,c_48177,c_1380,c_50261,c_50417]) ).
tff(c_50607,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_436,c_50606]) ).
tff(c_50608,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_50256]) ).
tff(c_50610,plain,
n16 = '#skF_1',
inference(splitLeft,[status(thm)],[c_50608]) ).
tff(c_50676,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_50610,c_430]) ).
tff(c_50629,plain,
sum(n18,n19) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_50610,c_556]) ).
tff(c_1232,plain,
sum(n2,n17) = n19,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_48200,plain,
sum('#skF_2',n17) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1232]) ).
tff(c_48182,plain,
sum(n16,'#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_674]) ).
tff(c_50616,plain,
sum('#skF_1','#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_50610,c_48182]) ).
tff(c_672,plain,
sum(n16,n3) = n19,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_50647,plain,
sum('#skF_1',n3) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_50610,c_672]) ).
tff(c_50784,plain,
sum(pred(n19),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_50647,c_48233]) ).
tff(c_50785,plain,
sum(n18,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1354,c_50784]) ).
tff(c_50958,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_50629,c_48200,c_1356,c_50616,c_50785]) ).
tff(c_50959,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50676,c_50958]) ).
tff(c_50960,plain,
( ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_50608]) ).
tff(c_50962,plain,
n5 = '#skF_1',
inference(splitLeft,[status(thm)],[c_50960]) ).
tff(c_48172,plain,
sum(n5,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1136]) ).
tff(c_50968,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_50962,c_48172]) ).
tff(c_51013,plain,
sum('#skF_1',n3) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_50962,c_1134]) ).
tff(c_51236,plain,
sum(pred(n8),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_51013,c_48233]) ).
tff(c_51237,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1376,c_51236]) ).
tff(c_51310,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1040,c_48167,c_1378,c_50968,c_51237]) ).
tff(c_51311,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_432,c_51310]) ).
tff(c_51312,plain,
( ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_50960]) ).
tff(c_51314,plain,
n15 = '#skF_1',
inference(splitLeft,[status(thm)],[c_51312]) ).
tff(c_48180,plain,
sum(n15,'#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_716]) ).
tff(c_51316,plain,
sum('#skF_1','#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_51314,c_48180]) ).
tff(c_714,plain,
sum(n15,n3) = n18,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_51349,plain,
sum('#skF_1',n3) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_51314,c_714]) ).
tff(c_51536,plain,
sum(pred(n18),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_51349,c_48233]) ).
tff(c_51537,plain,
sum(n17,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1356,c_51536]) ).
tff(c_51662,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_600,c_48196,c_1358,c_51316,c_51537]) ).
tff(c_51663,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_434,c_51662]) ).
tff(c_51664,plain,
( ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_51312]) ).
tff(c_51666,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_51664]) ).
tff(c_48151,plain,
sum(n6,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1094]) ).
tff(c_51668,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_51666,c_48151]) ).
tff(c_51697,plain,
sum('#skF_1',n3) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_51666,c_1092]) ).
tff(c_51960,plain,
sum(pred(n9),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_51697,c_48233]) ).
tff(c_51961,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1374,c_51960]) ).
tff(c_52014,plain,
n17 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_996,c_48157,c_1376,c_51668,c_51961]) ).
tff(c_52015,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428,c_52014]) ).
tff(c_52016,plain,
( ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_51664]) ).
tff(c_52018,plain,
n14 = '#skF_1',
inference(splitLeft,[status(thm)],[c_52016]) ).
tff(c_48149,plain,
sum(n14,'#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_758]) ).
tff(c_52020,plain,
sum('#skF_1','#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_52018,c_48149]) ).
tff(c_756,plain,
sum(n14,n3) = n17,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_52055,plain,
sum('#skF_1',n3) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_52018,c_756]) ).
tff(c_52304,plain,
sum(pred(n17),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_52055,c_48233]) ).
tff(c_52305,plain,
sum(n16,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1358,c_52304]) ).
tff(c_52366,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_644,c_48179,c_1360,c_52020,c_52305]) ).
tff(c_52367,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_438,c_52366]) ).
tff(c_52368,plain,
( ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_52016]) ).
tff(c_52370,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_52368]) ).
tff(c_48169,plain,
sum(n7,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1052]) ).
tff(c_52374,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_52370,c_48169]) ).
tff(c_1050,plain,
sum(n7,n3) = n10,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_52413,plain,
sum('#skF_1',n3) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_52370,c_1050]) ).
tff(c_52596,plain,
sum(pred(n10),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_52413,c_48233]) ).
tff(c_52597,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1372,c_52596]) ).
tff(c_52718,plain,
n19 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_952,c_48159,c_1374,c_52374,c_52597]) ).
tff(c_52719,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_424,c_52718]) ).
tff(c_52720,plain,
( ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_52368]) ).
tff(c_52722,plain,
n13 = '#skF_1',
inference(splitLeft,[status(thm)],[c_52720]) ).
tff(c_48202,plain,
sum(n13,'#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_800]) ).
tff(c_52728,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_52722,c_48202]) ).
tff(c_798,plain,
sum(n13,n3) = n16,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_52749,plain,
sum('#skF_1',n3) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_52722,c_798]) ).
tff(c_53028,plain,
sum(pred(n16),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_52749,c_48233]) ).
tff(c_53029,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1360,c_53028]) ).
tff(c_53070,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_688,c_48147,c_1362,c_52728,c_53029]) ).
tff(c_53071,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_442,c_53070]) ).
tff(c_53072,plain,
( ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_52720]) ).
tff(c_53074,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_53072]) ).
tff(c_48161,plain,
sum(n8,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1010]) ).
tff(c_53076,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_53074,c_48161]) ).
tff(c_1008,plain,
sum(n8,n3) = n11,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_53108,plain,
sum('#skF_1',n3) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_53074,c_1008]) ).
tff(c_53356,plain,
sum(pred(n11),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_53108,c_48233]) ).
tff(c_53357,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1370,c_53356]) ).
tff(c_53422,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_908,c_48166,c_1372,c_53076,c_53357]) ).
tff(c_53423,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_462,c_53422]) ).
tff(c_53424,plain,
( ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_53072]) ).
tff(c_53426,plain,
n12 = '#skF_1',
inference(splitLeft,[status(thm)],[c_53424]) ).
tff(c_48174,plain,
sum(n12,'#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_842]) ).
tff(c_53432,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_53426,c_48174]) ).
tff(c_53464,plain,
sum('#skF_1',n3) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_53426,c_840]) ).
tff(c_53588,plain,
sum(pred(n15),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_53464,c_48233]) ).
tff(c_53589,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1362,c_53588]) ).
tff(c_53774,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_732,c_48197,c_1364,c_53432,c_53589]) ).
tff(c_53775,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_446,c_53774]) ).
tff(c_53776,plain,
( ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_53424]) ).
tff(c_53778,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_53776]) ).
tff(c_48148,plain,
sum(n9,'#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_968]) ).
tff(c_53781,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_53778,c_48148]) ).
tff(c_966,plain,
sum(n9,n3) = n12,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_53838,plain,
sum('#skF_1',n3) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_53778,c_966]) ).
tff(c_53900,plain,
sum(pred(n12),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_53838,c_48233]) ).
tff(c_53901,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1368,c_53900]) ).
tff(c_54126,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_48178,c_48162,c_1370,c_53781,c_53901]) ).
tff(c_54127,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48208,c_54126]) ).
tff(c_54128,plain,
( ( n10 = '#skF_1' )
| ( n11 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_53776]) ).
tff(c_54130,plain,
n11 = '#skF_1',
inference(splitLeft,[status(thm)],[c_54128]) ).
tff(c_48146,plain,
sum(n11,'#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_884]) ).
tff(c_54131,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_54130,c_48146]) ).
tff(c_882,plain,
sum(n11,n3) = n14,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_54188,plain,
sum('#skF_1',n3) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_54130,c_882]) ).
tff(c_54260,plain,
sum(pred(n14),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_54188,c_48233]) ).
tff(c_54261,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1364,c_54260]) ).
tff(c_54478,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_776,c_48203,c_1366,c_54131,c_54261]) ).
tff(c_54479,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_450,c_54478]) ).
tff(c_54480,plain,
n10 = '#skF_1',
inference(splitRight,[status(thm)],[c_54128]) ).
tff(c_924,plain,
sum(n10,n3) = n13,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_54529,plain,
sum('#skF_1',n3) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_54480,c_924]) ).
tff(c_1244,plain,
sum(n2,n11) = n13,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_48154,plain,
sum('#skF_2',n11) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_1244]) ).
tff(c_48199,plain,
sum(n10,'#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_47475,c_926]) ).
tff(c_54485,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_54480,c_48199]) ).
tff(c_54635,plain,
sum(pred(sum('#skF_1',n3)),sum('#skF_2',pred(n12))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_54485,c_48233]) ).
tff(c_54636,plain,
sum(pred(sum('#skF_1',n3)),n13) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_48154,c_1368,c_54635]) ).
tff(c_54829,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_820,c_1366,c_54529,c_54636]) ).
tff(c_54830,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_454,c_54829]) ).
tff(c_54831,plain,
( ( n3 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n16 = '#skF_2' )
| ( n17 = '#skF_2' )
| ( n18 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_41171]) ).
tff(c_60811,plain,
n18 = '#skF_2',
inference(splitLeft,[status(thm)],[c_54831]) ).
tff(c_580,plain,
sum(n18,n7) = n4,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_60860,plain,
sum('#skF_2',n7) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_580]) ).
tff(c_584,plain,
sum(n18,n5) = n2,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_60858,plain,
sum('#skF_2',n5) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_584]) ).
tff(c_962,plain,
sum(n9,n5) = n14,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_578,plain,
sum(n18,n8) = n5,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_60861,plain,
sum('#skF_2',n8) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_578]) ).
tff(c_60857,plain,
sum('#skF_2',n4) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_586]) ).
tff(c_918,plain,
sum(n10,n6) = n16,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_576,plain,
sum(n18,n9) = n6,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_60862,plain,
sum('#skF_2',n9) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_576]) ).
tff(c_60856,plain,
sum('#skF_2',n3) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_588]) ).
tff(c_60876,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_426]) ).
tff(c_874,plain,
sum(n11,n7) = n18,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_60836,plain,
sum(n11,n7) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_874]) ).
tff(c_574,plain,
sum(n18,n10) = n7,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_60863,plain,
sum('#skF_2',n10) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_574]) ).
tff(c_60855,plain,
sum('#skF_2',n2) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_590]) ).
tff(c_830,plain,
sum(n12,n8) = n20,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_572,plain,
sum(n18,n11) = n8,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_60864,plain,
sum('#skF_2',n11) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_572]) ).
tff(c_60854,plain,
sum('#skF_2',n1) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_592]) ).
tff(c_786,plain,
sum(n13,n9) = n1,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_570,plain,
sum(n18,n12) = n9,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_60829,plain,
sum('#skF_2',n12) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_570]) ).
tff(c_60865,plain,
sum(n1,'#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_1272]) ).
tff(c_60853,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_60811,c_594]) ).
tff(c_742,plain,
sum(n14,n10) = n3,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_568,plain,
sum(n18,n13) = n10,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_60830,plain,
sum('#skF_2',n13) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_568]) ).
tff(c_60824,plain,
sum('#skF_2',n20) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_554]) ).
tff(c_698,plain,
sum(n15,n11) = n5,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_60823,plain,
sum('#skF_2',n19) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_556]) ).
tff(c_654,plain,
sum(n16,n12) = n7,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_60832,plain,
sum('#skF_2',n15) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_564]) ).
tff(c_54833,plain,
n1 = '#skF_1',
inference(splitLeft,[status(thm)],[c_47473]) ).
tff(c_54851,plain,
sum(n12,'#skF_1') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_54833,c_844]) ).
tff(c_894,plain,
sum(n10,n18) = n7,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_940,plain,
sum(n9,n16) = n4,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_752,plain,
sum(n14,n5) = n19,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_54899,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_54833,c_460]) ).
tff(c_986,plain,
sum(n8,n14) = n1,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_54887,plain,
sum(n8,n14) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_54833,c_986]) ).
tff(c_706,plain,
sum(n15,n7) = n1,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_54869,plain,
sum(n15,n7) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_54833,c_706]) ).
tff(c_1032,plain,
sum(n7,n12) = n19,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_660,plain,
sum(n16,n9) = n4,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1078,plain,
sum(n6,n10) = n16,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_614,plain,
sum(n17,n11) = n7,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1124,plain,
sum(n5,n8) = n13,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1170,plain,
sum(n4,n6) = n10,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_55180,plain,
n18 = '#skF_2',
inference(splitLeft,[status(thm)],[c_54831]) ).
tff(c_55198,plain,
sum('#skF_2','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_55180,c_55180,c_558]) ).
tff(c_55244,plain,
pred(n19) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_55180,c_1354]) ).
tff(c_54880,plain,
sum('#skF_1',n18) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_54833,c_1272]) ).
tff(c_55184,plain,
sum('#skF_1','#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_55180,c_54880]) ).
tff(c_54894,plain,
sum('#skF_1',n19) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_54833,c_1270]) ).
tff(c_55242,plain,
succ('#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_55180,c_1398]) ).
tff(c_55278,plain,
sum(pred(sum('#skF_1',n19)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_55242,c_464]) ).
tff(c_55279,plain,
sum(n19,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1352,c_54894,c_55278]) ).
tff(c_55528,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_522,c_55198,c_55244,c_55184,c_55279]) ).
tff(c_55529,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_436,c_55528]) ).
tff(c_55530,plain,
( ( n17 = '#skF_2' )
| ( n16 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_54831]) ).
tff(c_55532,plain,
n3 = '#skF_2',
inference(splitLeft,[status(thm)],[c_55530]) ).
tff(c_55540,plain,
sum('#skF_2','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_55532,c_55532,c_1218]) ).
tff(c_55595,plain,
pred(n4) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_55532,c_1384]) ).
tff(c_54884,plain,
sum('#skF_1',n3) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_54833,c_1302]) ).
tff(c_55536,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_55532,c_54884]) ).
tff(c_54855,plain,
sum('#skF_1',n4) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_54833,c_1300]) ).
tff(c_55597,plain,
succ('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_55532,c_1428]) ).
tff(c_55622,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_55597,c_464]) ).
tff(c_55623,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1382,c_54855,c_55622]) ).
tff(c_55880,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1170,c_55540,c_55595,c_55536,c_55623]) ).
tff(c_55881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_442,c_55880]) ).
tff(c_55882,plain,
( ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n16 = '#skF_2' )
| ( n17 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_55530]) ).
tff(c_55884,plain,
n17 = '#skF_2',
inference(splitLeft,[status(thm)],[c_55882]) ).
tff(c_55934,plain,
sum('#skF_2','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_55884,c_55884,c_602]) ).
tff(c_55949,plain,
pred(n18) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_55884,c_1356]) ).
tff(c_54867,plain,
sum('#skF_1',n17) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_54833,c_1274]) ).
tff(c_55886,plain,
sum('#skF_1','#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_55884,c_54867]) ).
tff(c_55948,plain,
succ('#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_55884,c_1400]) ).
tff(c_55986,plain,
sum(pred(sum('#skF_1',n18)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_55948,c_464]) ).
tff(c_55987,plain,
sum(n18,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1354,c_54880,c_55986]) ).
tff(c_56232,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_568,c_55934,c_55949,c_55886,c_55987]) ).
tff(c_56233,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_442,c_56232]) ).
tff(c_56234,plain,
( ( n16 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_55882]) ).
tff(c_56236,plain,
n4 = '#skF_2',
inference(splitLeft,[status(thm)],[c_56234]) ).
tff(c_56279,plain,
sum('#skF_2','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_56236,c_56236,c_1174]) ).
tff(c_56298,plain,
pred(n5) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_56236,c_1382]) ).
tff(c_56237,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_56236,c_54855]) ).
tff(c_54858,plain,
sum('#skF_1',n5) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_54833,c_1298]) ).
tff(c_56299,plain,
succ('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_56236,c_1426]) ).
tff(c_56334,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_56299,c_464]) ).
tff(c_56335,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1380,c_54858,c_56334]) ).
tff(c_56584,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1124,c_56279,c_56298,c_56237,c_56335]) ).
tff(c_56585,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_436,c_56584]) ).
tff(c_56586,plain,
( ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n16 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_56234]) ).
tff(c_56588,plain,
n16 = '#skF_2',
inference(splitLeft,[status(thm)],[c_56586]) ).
tff(c_56636,plain,
sum('#skF_2','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_56588,c_56588,c_646]) ).
tff(c_56652,plain,
pred(n17) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_56588,c_1358]) ).
tff(c_54854,plain,
sum('#skF_1',n16) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_54833,c_1276]) ).
tff(c_56593,plain,
sum('#skF_1','#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_56588,c_54854]) ).
tff(c_56650,plain,
succ('#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_56588,c_1402]) ).
tff(c_56690,plain,
sum(pred(sum('#skF_1',n17)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_56650,c_464]) ).
tff(c_56691,plain,
sum(n17,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1356,c_54867,c_56690]) ).
tff(c_56936,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_614,c_56636,c_56652,c_56593,c_56691]) ).
tff(c_56937,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_448,c_56936]) ).
tff(c_56938,plain,
( ( n15 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_56586]) ).
tff(c_56940,plain,
n5 = '#skF_2',
inference(splitLeft,[status(thm)],[c_56938]) ).
tff(c_56955,plain,
sum('#skF_2','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_56940,c_56940,c_1130]) ).
tff(c_57005,plain,
pred(n6) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_56940,c_1380]) ).
tff(c_56944,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_56940,c_54858]) ).
tff(c_54883,plain,
sum('#skF_1',n6) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_54833,c_1296]) ).
tff(c_57002,plain,
succ('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_56940,c_1424]) ).
tff(c_57042,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_57002,c_464]) ).
tff(c_57043,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1378,c_54883,c_57042]) ).
tff(c_57288,plain,
n16 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1078,c_56955,c_57005,c_56944,c_57043]) ).
tff(c_57289,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430,c_57288]) ).
tff(c_57290,plain,
( ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_56938]) ).
tff(c_57292,plain,
n15 = '#skF_2',
inference(splitLeft,[status(thm)],[c_57290]) ).
tff(c_57337,plain,
sum('#skF_2','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_57292,c_57292,c_690]) ).
tff(c_57355,plain,
pred(n16) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_57292,c_1360]) ).
tff(c_54838,plain,
sum('#skF_1',n15) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_54833,c_1278]) ).
tff(c_57295,plain,
sum('#skF_1','#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_57292,c_54838]) ).
tff(c_57357,plain,
succ('#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_57292,c_1404]) ).
tff(c_57382,plain,
sum(pred(sum('#skF_1',n16)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_57357,c_464]) ).
tff(c_57383,plain,
sum(n16,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1358,c_54854,c_57382]) ).
tff(c_57640,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_660,c_57337,c_57355,c_57295,c_57383]) ).
tff(c_57641,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_454,c_57640]) ).
tff(c_57642,plain,
( ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_57290]) ).
tff(c_57644,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_57642]) ).
tff(c_57668,plain,
sum('#skF_2','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_57644,c_57644,c_1086]) ).
tff(c_57707,plain,
pred(n7) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_57644,c_1378]) ).
tff(c_57648,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_57644,c_54883]) ).
tff(c_54841,plain,
sum('#skF_1',n7) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_54833,c_1294]) ).
tff(c_57708,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_57644,c_1422]) ).
tff(c_57742,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_57708,c_464]) ).
tff(c_57743,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1376,c_54841,c_57742]) ).
tff(c_57992,plain,
n19 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1032,c_57668,c_57707,c_57648,c_57743]) ).
tff(c_57993,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_424,c_57992]) ).
tff(c_57994,plain,
( ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_57642]) ).
tff(c_57996,plain,
n14 = '#skF_2',
inference(splitLeft,[status(thm)],[c_57994]) ).
tff(c_58027,plain,
sum('#skF_2','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_57996,c_57996,c_734]) ).
tff(c_58058,plain,
pred(n15) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_57996,c_1362]) ).
tff(c_54892,plain,
sum('#skF_1',n14) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_54833,c_1280]) ).
tff(c_57997,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_57996,c_54892]) ).
tff(c_58061,plain,
succ('#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_57996,c_1406]) ).
tff(c_58086,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_58061,c_464]) ).
tff(c_58087,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1360,c_54838,c_58086]) ).
tff(c_58344,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_54869,c_58027,c_58058,c_57997,c_58087]) ).
tff(c_58345,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54899,c_58344]) ).
tff(c_58346,plain,
( ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_57994]) ).
tff(c_58348,plain,
n7 = '#skF_2',
inference(splitLeft,[status(thm)],[c_58346]) ).
tff(c_58370,plain,
sum('#skF_2','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_58348,c_58348,c_1042]) ).
tff(c_58412,plain,
pred(n8) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_58348,c_1376]) ).
tff(c_58350,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_58348,c_54841]) ).
tff(c_54839,plain,
sum('#skF_1',n8) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_54833,c_1292]) ).
tff(c_58413,plain,
succ('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_58348,c_1420]) ).
tff(c_58438,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_58413,c_464]) ).
tff(c_58439,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1374,c_54839,c_58438]) ).
tff(c_58696,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_54887,c_58370,c_58412,c_58350,c_58439]) ).
tff(c_58697,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54899,c_58696]) ).
tff(c_58698,plain,
( ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_58346]) ).
tff(c_58700,plain,
n13 = '#skF_2',
inference(splitLeft,[status(thm)],[c_58698]) ).
tff(c_58708,plain,
sum('#skF_2','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_58700,c_58700,c_778]) ).
tff(c_58763,plain,
pred(n14) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_58700,c_1364]) ).
tff(c_54889,plain,
sum('#skF_1',n13) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_54833,c_1282]) ).
tff(c_58703,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_58700,c_54889]) ).
tff(c_58764,plain,
succ('#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_58700,c_1408]) ).
tff(c_58802,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_58764,c_464]) ).
tff(c_58803,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1362,c_54892,c_58802]) ).
tff(c_59048,plain,
n19 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_752,c_58708,c_58763,c_58703,c_58803]) ).
tff(c_59049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_424,c_59048]) ).
tff(c_59050,plain,
( ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_58698]) ).
tff(c_59052,plain,
n8 = '#skF_2',
inference(splitLeft,[status(thm)],[c_59050]) ).
tff(c_59061,plain,
sum('#skF_2','#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_59052,c_59052,c_998]) ).
tff(c_59116,plain,
pred(n9) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_59052,c_1374]) ).
tff(c_59053,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_59052,c_54839]) ).
tff(c_54891,plain,
sum('#skF_1',n9) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_54833,c_1290]) ).
tff(c_59114,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_59052,c_1418]) ).
tff(c_59154,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_59114,c_464]) ).
tff(c_59155,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1372,c_54891,c_59154]) ).
tff(c_59400,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_940,c_59061,c_59116,c_59053,c_59155]) ).
tff(c_59401,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_454,c_59400]) ).
tff(c_59402,plain,
( ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_59050]) ).
tff(c_59404,plain,
n12 = '#skF_2',
inference(splitLeft,[status(thm)],[c_59402]) ).
tff(c_59418,plain,
sum('#skF_2','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_59404,c_59404,c_822]) ).
tff(c_59468,plain,
pred(n13) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_59404,c_1366]) ).
tff(c_54893,plain,
sum('#skF_1',n12) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_54833,c_1284]) ).
tff(c_59409,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_59404,c_54893]) ).
tff(c_59467,plain,
succ('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_59404,c_1410]) ).
tff(c_59506,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_59467,c_464]) ).
tff(c_59507,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1364,c_54889,c_59506]) ).
tff(c_59752,plain,
n16 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_798,c_59418,c_59468,c_59409,c_59507]) ).
tff(c_59753,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430,c_59752]) ).
tff(c_59754,plain,
( ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_59402]) ).
tff(c_59756,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_59754]) ).
tff(c_59772,plain,
sum('#skF_2','#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_59756,c_59756,c_954]) ).
tff(c_59821,plain,
pred(n10) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_59756,c_1372]) ).
tff(c_59759,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_59756,c_54891]) ).
tff(c_54837,plain,
sum('#skF_1',n10) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_54833,c_1288]) ).
tff(c_59818,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_59756,c_1416]) ).
tff(c_59846,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_59818,c_464]) ).
tff(c_59847,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1370,c_54837,c_59846]) ).
tff(c_60104,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_894,c_59772,c_59821,c_59759,c_59847]) ).
tff(c_60105,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_448,c_60104]) ).
tff(c_60106,plain,
( ( n10 = '#skF_2' )
| ( n11 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_59754]) ).
tff(c_60108,plain,
n11 = '#skF_2',
inference(splitLeft,[status(thm)],[c_60106]) ).
tff(c_54877,plain,
sum(n11,n11) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_54833,c_866]) ).
tff(c_60111,plain,
sum('#skF_2','#skF_2') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_60108,c_60108,c_54877]) ).
tff(c_60172,plain,
pred(n12) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_60108,c_1368]) ).
tff(c_54870,plain,
sum('#skF_1',n11) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_54833,c_1286]) ).
tff(c_60113,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_60108,c_54870]) ).
tff(c_60170,plain,
succ('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_60108,c_1412]) ).
tff(c_60198,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_60170,c_464]) ).
tff(c_60199,plain,
sum(n12,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1366,c_54893,c_60198]) ).
tff(c_60456,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_54851,c_60111,c_60172,c_60113,c_60199]) ).
tff(c_60457,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_436,c_60456]) ).
tff(c_60458,plain,
n10 = '#skF_2',
inference(splitRight,[status(thm)],[c_60106]) ).
tff(c_60525,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_60458,c_442]) ).
tff(c_60513,plain,
sum(n11,n20) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_60458,c_848]) ).
tff(c_60509,plain,
sum('#skF_2','#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_60458,c_60458,c_910]) ).
tff(c_60523,plain,
pred(n11) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_60458,c_1370]) ).
tff(c_60460,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_60458,c_54837]) ).
tff(c_60521,plain,
succ('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_60458,c_1414]) ).
tff(c_60561,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_60521,c_464]) ).
tff(c_60562,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1368,c_54870,c_60561]) ).
tff(c_60807,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_60513,c_60509,c_60523,c_60460,c_60562]) ).
tff(c_60808,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60525,c_60807]) ).
tff(c_60809,plain,
( ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n18 = '#skF_1' )
| ( n19 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_47473]) ).
tff(c_61162,plain,
( ( n2 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n19 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_60809]) ).
tff(c_61163,plain,
n19 = '#skF_1',
inference(splitLeft,[status(thm)],[c_61162]) ).
tff(c_60841,plain,
sum(n19,'#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_516]) ).
tff(c_61169,plain,
sum('#skF_1','#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_61163,c_60841]) ).
tff(c_61204,plain,
sum('#skF_1','#skF_1') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_61163,c_61163,c_514]) ).
tff(c_60872,plain,
succ('#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_1398]) ).
tff(c_60909,plain,
sum(pred(sum('#skF_1',n19)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_60872,c_464]) ).
tff(c_61164,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_61163,c_60909]) ).
tff(c_61510,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_654,c_60832,c_1360,c_61169,c_1358,c_61204,c_61164]) ).
tff(c_61511,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_448,c_61510]) ).
tff(c_61512,plain,
( ( '#skF_2' = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_61162]) ).
tff(c_61514,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_61512]) ).
tff(c_60839,plain,
sum(n2,'#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_1230]) ).
tff(c_61515,plain,
sum('#skF_1','#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_61514,c_60839]) ).
tff(c_61563,plain,
sum('#skF_1',n19) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_61514,c_1228]) ).
tff(c_61704,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_61563,c_60909]) ).
tff(c_61705,plain,
sum(n20,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1392,c_61704]) ).
tff(c_61862,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_478,c_60823,c_1352,c_61515,c_61705]) ).
tff(c_61863,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_432,c_61862]) ).
tff(c_61864,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_61512]) ).
tff(c_61866,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_61864]) ).
tff(c_60831,plain,
sum('#skF_2',n14) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_566]) ).
tff(c_61892,plain,
sum('#skF_1',n14) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_61866,c_60831]) ).
tff(c_60822,plain,
sum('#skF_2','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_60811,c_558]) ).
tff(c_61891,plain,
sum('#skF_1','#skF_1') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_61866,c_61866,c_60822]) ).
tff(c_61910,plain,
sum('#skF_1',n19) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_61866,c_60823]) ).
tff(c_61867,plain,
sum(pred(sum('#skF_1',n19)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_61866,c_61866,c_60909]) ).
tff(c_62218,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_698,c_61892,c_1362,c_61891,c_1360,c_61910,c_61867]) ).
tff(c_62219,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_452,c_62218]) ).
tff(c_62220,plain,
( ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_61864]) ).
tff(c_62222,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_62220]) ).
tff(c_1188,plain,
sum(n3,n18) = n0,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_60847,plain,
sum(n3,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_1188]) ).
tff(c_62227,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_62222,c_60847]) ).
tff(c_62280,plain,
sum('#skF_1',n19) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_62222,c_1186]) ).
tff(c_62368,plain,
sum(pred(n1),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_62280,c_60909]) ).
tff(c_62369,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1390,c_62368]) ).
tff(c_62570,plain,
n17 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1316,c_60824,c_1392,c_62227,c_62369]) ).
tff(c_62571,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428,c_62570]) ).
tff(c_62572,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_62220]) ).
tff(c_62574,plain,
n17 = '#skF_1',
inference(splitLeft,[status(thm)],[c_62572]) ).
tff(c_60852,plain,
sum(n17,'#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_600]) ).
tff(c_62577,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_62574,c_60852]) ).
tff(c_62628,plain,
sum('#skF_1',n19) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_62574,c_598]) ).
tff(c_62884,plain,
sum(pred(n15),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_62628,c_60909]) ).
tff(c_62885,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1362,c_62884]) ).
tff(c_62922,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_742,c_60830,c_1364,c_62577,c_62885]) ).
tff(c_62923,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_456,c_62922]) ).
tff(c_62924,plain,
( ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_62572]) ).
tff(c_62926,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_62924]) ).
tff(c_60869,plain,
sum(n4,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_1146]) ).
tff(c_62928,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_62926,c_60869]) ).
tff(c_62972,plain,
sum('#skF_1',n19) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_62926,c_1144]) ).
tff(c_63156,plain,
sum(pred(n2),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_62972,c_60909]) ).
tff(c_63157,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1388,c_63156]) ).
tff(c_63274,plain,
n19 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_60865,c_60853,c_1390,c_62928,c_63157]) ).
tff(c_63275,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_424,c_63274]) ).
tff(c_63276,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_62924]) ).
tff(c_63278,plain,
n16 = '#skF_1',
inference(splitLeft,[status(thm)],[c_63276]) ).
tff(c_642,plain,
sum(n16,n18) = n13,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_60850,plain,
sum(n16,'#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_642]) ).
tff(c_63284,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_63278,c_60850]) ).
tff(c_63330,plain,
sum('#skF_1',n19) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_63278,c_640]) ).
tff(c_63556,plain,
sum(pred(n14),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_63330,c_60909]) ).
tff(c_63557,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1364,c_63556]) ).
tff(c_63626,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_786,c_60829,c_1366,c_63284,c_63557]) ).
tff(c_63627,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_460,c_63626]) ).
tff(c_63628,plain,
( ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_63276]) ).
tff(c_63630,plain,
n5 = '#skF_1',
inference(splitLeft,[status(thm)],[c_63628]) ).
tff(c_1104,plain,
sum(n5,n18) = n2,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_60866,plain,
sum(n5,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_1104]) ).
tff(c_63636,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_63630,c_60866]) ).
tff(c_63646,plain,
sum('#skF_1',n19) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_63630,c_1102]) ).
tff(c_63804,plain,
sum(pred(n3),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_63646,c_60909]) ).
tff(c_63805,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1386,c_63804]) ).
tff(c_63978,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1228,c_60854,c_1388,c_63636,c_63805]) ).
tff(c_63979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_462,c_63978]) ).
tff(c_63980,plain,
( ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_63628]) ).
tff(c_63982,plain,
n15 = '#skF_1',
inference(splitLeft,[status(thm)],[c_63980]) ).
tff(c_60846,plain,
sum(n15,'#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_684]) ).
tff(c_63983,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_63982,c_60846]) ).
tff(c_64030,plain,
sum('#skF_1',n19) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_63982,c_682]) ).
tff(c_64240,plain,
sum(pred(n13),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_64030,c_60909]) ).
tff(c_64241,plain,
sum(n12,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1366,c_64240]) ).
tff(c_64330,plain,
n20 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_830,c_60864,c_1368,c_63983,c_64241]) ).
tff(c_64331,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422,c_64330]) ).
tff(c_64332,plain,
( ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_63980]) ).
tff(c_64334,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_64332]) ).
tff(c_1062,plain,
sum(n6,n18) = n3,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_60837,plain,
sum(n6,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_1062]) ).
tff(c_64336,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_64334,c_60837]) ).
tff(c_64375,plain,
sum('#skF_1',n19) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_64334,c_1060]) ).
tff(c_64540,plain,
sum(pred(n4),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_64375,c_60909]) ).
tff(c_64541,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1384,c_64540]) ).
tff(c_64682,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1184,c_60855,c_1386,c_64336,c_64541]) ).
tff(c_64683,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_458,c_64682]) ).
tff(c_64684,plain,
( ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_64332]) ).
tff(c_64686,plain,
n14 = '#skF_1',
inference(splitLeft,[status(thm)],[c_64684]) ).
tff(c_726,plain,
sum(n14,n18) = n11,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_60870,plain,
sum(n14,'#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_726]) ).
tff(c_64689,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_64686,c_60870]) ).
tff(c_64727,plain,
sum('#skF_1',n19) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_64686,c_724]) ).
tff(c_64888,plain,
sum(pred(n12),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_64727,c_60909]) ).
tff(c_64889,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1368,c_64888]) ).
tff(c_65034,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_60836,c_60863,c_1370,c_64689,c_64889]) ).
tff(c_65035,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60876,c_65034]) ).
tff(c_65036,plain,
( ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_64684]) ).
tff(c_65038,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_65036]) ).
tff(c_1020,plain,
sum(n7,n18) = n4,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_60827,plain,
sum(n7,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_1020]) ).
tff(c_65039,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_65038,c_60827]) ).
tff(c_65073,plain,
sum('#skF_1',n19) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_65038,c_1018]) ).
tff(c_65220,plain,
sum(pred(n5),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_65073,c_60909]) ).
tff(c_65221,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1382,c_65220]) ).
tff(c_65386,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1182,c_60856,c_1384,c_65039,c_65221]) ).
tff(c_65387,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_454,c_65386]) ).
tff(c_65388,plain,
( ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_65036]) ).
tff(c_65390,plain,
n13 = '#skF_1',
inference(splitLeft,[status(thm)],[c_65388]) ).
tff(c_768,plain,
sum(n13,n18) = n10,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_60815,plain,
sum(n13,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_768]) ).
tff(c_65396,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_65390,c_60815]) ).
tff(c_65424,plain,
sum('#skF_1',n19) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_65390,c_766]) ).
tff(c_65668,plain,
sum(pred(n11),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_65424,c_60909]) ).
tff(c_65669,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1370,c_65668]) ).
tff(c_65738,plain,
n16 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_918,c_60862,c_1372,c_65396,c_65669]) ).
tff(c_65739,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430,c_65738]) ).
tff(c_65740,plain,
( ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_65388]) ).
tff(c_65742,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_65740]) ).
tff(c_978,plain,
sum(n8,n18) = n5,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_60844,plain,
sum(n8,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_978]) ).
tff(c_65743,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_65742,c_60844]) ).
tff(c_65765,plain,
sum('#skF_1',n19) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_65742,c_976]) ).
tff(c_65996,plain,
sum(pred(n6),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_65765,c_60909]) ).
tff(c_65997,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1380,c_65996]) ).
tff(c_66090,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1138,c_60857,c_1382,c_65743,c_65997]) ).
tff(c_66091,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_450,c_66090]) ).
tff(c_66092,plain,
( ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_65740]) ).
tff(c_66094,plain,
n12 = '#skF_1',
inference(splitLeft,[status(thm)],[c_66092]) ).
tff(c_810,plain,
sum(n12,n18) = n9,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_60868,plain,
sum(n12,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_810]) ).
tff(c_66100,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_66094,c_60868]) ).
tff(c_66148,plain,
sum('#skF_1',n19) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_66094,c_808]) ).
tff(c_66244,plain,
sum(pred(n10),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_66148,c_60909]) ).
tff(c_66245,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1372,c_66244]) ).
tff(c_66442,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_962,c_60861,c_1374,c_66100,c_66245]) ).
tff(c_66443,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_434,c_66442]) ).
tff(c_66444,plain,
( ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_66092]) ).
tff(c_66446,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_66444]) ).
tff(c_60812,plain,
sum(n9,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_936]) ).
tff(c_66451,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_66446,c_60812]) ).
tff(c_66462,plain,
sum('#skF_1',n19) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_66446,c_934]) ).
tff(c_66736,plain,
sum(pred(n7),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_66462,c_60909]) ).
tff(c_66737,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1378,c_66736]) ).
tff(c_66794,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1094,c_60858,c_1380,c_66451,c_66737]) ).
tff(c_66795,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_446,c_66794]) ).
tff(c_66796,plain,
( ( n10 = '#skF_1' )
| ( n11 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_66444]) ).
tff(c_66798,plain,
n11 = '#skF_1',
inference(splitLeft,[status(thm)],[c_66796]) ).
tff(c_852,plain,
sum(n11,n18) = n8,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_60838,plain,
sum(n11,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_852]) ).
tff(c_66799,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_66798,c_60838]) ).
tff(c_66818,plain,
sum('#skF_1',n19) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_66798,c_850]) ).
tff(c_67000,plain,
sum(pred(n9),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_66818,c_60909]) ).
tff(c_67001,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1374,c_67000]) ).
tff(c_67146,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1006,c_60860,c_1376,c_66799,c_67001]) ).
tff(c_67147,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_438,c_67146]) ).
tff(c_67148,plain,
n10 = '#skF_1',
inference(splitRight,[status(thm)],[c_66796]) ).
tff(c_67215,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_67148,c_442]) ).
tff(c_67183,plain,
sum(n7,n3) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_67148,c_1050]) ).
tff(c_67200,plain,
sum('#skF_1',n19) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_67148,c_892]) ).
tff(c_582,plain,
sum(n18,n6) = n3,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_60859,plain,
sum('#skF_2',n6) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_582]) ).
tff(c_60871,plain,
sum(n10,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_60811,c_894]) ).
tff(c_67153,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_67148,c_60871]) ).
tff(c_67303,plain,
sum(pred(sum('#skF_1',n19)),sum('#skF_2',pred(n7))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_67153,c_60909]) ).
tff(c_67304,plain,
sum(pred(sum('#skF_1',n19)),n3) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_60859,c_1378,c_67303]) ).
tff(c_67497,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_67183,c_1376,c_67200,c_67304]) ).
tff(c_67498,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_67215,c_67497]) ).
tff(c_67499,plain,
( ( n17 = '#skF_2' )
| ( n16 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' )
| ( n3 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_54831]) ).
tff(c_73127,plain,
n3 = '#skF_2',
inference(splitLeft,[status(thm)],[c_67499]) ).
tff(c_1200,plain,
sum(n3,n12) = n15,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_73147,plain,
sum('#skF_2',n12) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_1200]) ).
tff(c_730,plain,
sum(n14,n16) = n9,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1198,plain,
sum(n3,n13) = n16,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_73143,plain,
sum('#skF_2',n13) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_1198]) ).
tff(c_818,plain,
sum(n12,n14) = n5,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1202,plain,
sum(n3,n11) = n14,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_73131,plain,
sum('#skF_2',n11) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_1202]) ).
tff(c_686,plain,
sum(n15,n17) = n11,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1196,plain,
sum(n3,n14) = n17,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_73141,plain,
sum('#skF_2',n14) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_1196]) ).
tff(c_73192,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_456]) ).
tff(c_862,plain,
sum(n11,n13) = n3,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_73151,plain,
sum(n11,n13) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_862]) ).
tff(c_1204,plain,
sum(n3,n10) = n13,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_73137,plain,
sum('#skF_2',n10) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_1204]) ).
tff(c_906,plain,
sum(n10,n12) = n1,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1206,plain,
sum(n3,n9) = n12,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_73187,plain,
sum('#skF_2',n9) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_1206]) ).
tff(c_73146,plain,
sum('#skF_2',n16) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_1192]) ).
tff(c_950,plain,
sum(n9,n11) = n20,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1208,plain,
sum(n3,n8) = n11,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_73139,plain,
sum('#skF_2',n8) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_1208]) ).
tff(c_1190,plain,
sum(n3,n17) = n20,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_73142,plain,
sum('#skF_2',n17) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_1190]) ).
tff(c_994,plain,
sum(n8,n10) = n18,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1210,plain,
sum(n3,n7) = n10,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_73138,plain,
sum('#skF_2',n7) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_1210]) ).
tff(c_73168,plain,
sum('#skF_2',n18) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_1188]) ).
tff(c_1038,plain,
sum(n7,n9) = n16,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_73180,plain,
sum('#skF_2',n6) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_1212]) ).
tff(c_73184,plain,
sum('#skF_2',n19) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_1186]) ).
tff(c_1082,plain,
sum(n6,n8) = n14,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_73155,plain,
sum('#skF_2',n20) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_1184]) ).
tff(c_1126,plain,
sum(n5,n7) = n12,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_73130,plain,
sum('#skF_2',n4) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_1216]) ).
tff(c_980,plain,
sum(n8,n17) = n4,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_67501,plain,
n19 = '#skF_1',
inference(splitLeft,[status(thm)],[c_60809]) ).
tff(c_67504,plain,
sum(n9,'#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_67501,c_934]) ).
tff(c_1026,plain,
sum(n7,n15) = n1,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_67567,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_67501,c_424]) ).
tff(c_1072,plain,
sum(n6,n13) = n19,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_67529,plain,
sum(n6,n13) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_67501,c_1072]) ).
tff(c_1118,plain,
sum(n5,n11) = n16,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_838,plain,
sum(n12,n4) = n16,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1164,plain,
sum(n4,n9) = n13,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_792,plain,
sum(n13,n6) = n19,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_67557,plain,
sum(n13,n6) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_67501,c_792]) ).
tff(c_746,plain,
sum(n14,n8) = n1,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_700,plain,
sum(n15,n10) = n4,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_67848,plain,
n3 = '#skF_2',
inference(splitLeft,[status(thm)],[c_67499]) ).
tff(c_67905,plain,
sum(n1,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_67848,c_1302]) ).
tff(c_67906,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_67848,c_67848,c_1224]) ).
tff(c_67517,plain,
sum('#skF_1',n3) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_67501,c_546]) ).
tff(c_67852,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_67848,c_67517]) ).
tff(c_67534,plain,
sum('#skF_1',n4) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_67501,c_544]) ).
tff(c_67913,plain,
succ('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_67848,c_1428]) ).
tff(c_67938,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_67913,c_464]) ).
tff(c_67939,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1388,c_67534,c_67938]) ).
tff(c_68196,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_67905,c_67906,c_1390,c_67852,c_67939]) ).
tff(c_68197,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_454,c_68196]) ).
tff(c_68198,plain,
( ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n16 = '#skF_2' )
| ( n17 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_67499]) ).
tff(c_68200,plain,
n17 = '#skF_2',
inference(splitLeft,[status(thm)],[c_68198]) ).
tff(c_68250,plain,
sum('#skF_2',n14) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_68200,c_608]) ).
tff(c_67552,plain,
sum('#skF_1',n17) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_67501,c_518]) ).
tff(c_68204,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_68200,c_67552]) ).
tff(c_67537,plain,
sum('#skF_1',n18) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_67501,c_516]) ).
tff(c_68264,plain,
succ('#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_68200,c_1400]) ).
tff(c_68298,plain,
sum(pred(sum('#skF_1',n18)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_68264,c_464]) ).
tff(c_68299,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1360,c_67537,c_68298]) ).
tff(c_68548,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_700,c_68250,c_1362,c_68204,c_68299]) ).
tff(c_68549,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_454,c_68548]) ).
tff(c_68550,plain,
( ( n16 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_68198]) ).
tff(c_68552,plain,
n4 = '#skF_2',
inference(splitLeft,[status(thm)],[c_68550]) ).
tff(c_68574,plain,
sum('#skF_2',n1) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_68552,c_1180]) ).
tff(c_68558,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_68552,c_67534]) ).
tff(c_67521,plain,
sum('#skF_1',n5) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_67501,c_542]) ).
tff(c_68615,plain,
succ('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_68552,c_1426]) ).
tff(c_68650,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_68615,c_464]) ).
tff(c_68651,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1386,c_67521,c_68650]) ).
tff(c_68900,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1256,c_68574,c_1388,c_68558,c_68651]) ).
tff(c_68901,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_448,c_68900]) ).
tff(c_68902,plain,
( ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n16 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_68550]) ).
tff(c_68904,plain,
n16 = '#skF_2',
inference(splitLeft,[status(thm)],[c_68902]) ).
tff(c_68951,plain,
sum('#skF_2',n13) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_68904,c_652]) ).
tff(c_67549,plain,
sum('#skF_1',n16) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_67501,c_520]) ).
tff(c_68909,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_68904,c_67549]) ).
tff(c_68966,plain,
succ('#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_68904,c_1402]) ).
tff(c_69006,plain,
sum(pred(sum('#skF_1',n17)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_68966,c_464]) ).
tff(c_69007,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1362,c_67552,c_69006]) ).
tff(c_69252,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_746,c_68951,c_1364,c_68909,c_69007]) ).
tff(c_69253,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_460,c_69252]) ).
tff(c_69254,plain,
( ( n15 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_68902]) ).
tff(c_69256,plain,
n5 = '#skF_2',
inference(splitLeft,[status(thm)],[c_69254]) ).
tff(c_69288,plain,
sum('#skF_2',n2) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_69256,c_1136]) ).
tff(c_69259,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_69256,c_67521]) ).
tff(c_67560,plain,
sum('#skF_1',n6) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_67501,c_540]) ).
tff(c_69318,plain,
succ('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_69256,c_1424]) ).
tff(c_69350,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_69318,c_464]) ).
tff(c_69351,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1384,c_67560,c_69350]) ).
tff(c_69604,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1210,c_69288,c_1386,c_69259,c_69351]) ).
tff(c_69605,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_442,c_69604]) ).
tff(c_69606,plain,
( ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_69254]) ).
tff(c_69608,plain,
n15 = '#skF_2',
inference(splitLeft,[status(thm)],[c_69606]) ).
tff(c_69652,plain,
sum('#skF_2',n12) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_69608,c_696]) ).
tff(c_67522,plain,
sum('#skF_1',n15) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_67501,c_522]) ).
tff(c_69612,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_69608,c_67522]) ).
tff(c_69673,plain,
succ('#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_69608,c_1404]) ).
tff(c_69698,plain,
sum(pred(sum('#skF_1',n16)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_69673,c_464]) ).
tff(c_69699,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1364,c_67549,c_69698]) ).
tff(c_69956,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_67557,c_69652,c_1366,c_69612,c_69699]) ).
tff(c_69957,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_67567,c_69956]) ).
tff(c_69958,plain,
( ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_69606]) ).
tff(c_69960,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_69958]) ).
tff(c_69990,plain,
sum('#skF_2',n3) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_69960,c_1092]) ).
tff(c_69962,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_69960,c_67560]) ).
tff(c_67523,plain,
sum('#skF_1',n7) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_67501,c_538]) ).
tff(c_70024,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_69960,c_1422]) ).
tff(c_70062,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_70024,c_464]) ).
tff(c_70063,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1382,c_67523,c_70062]) ).
tff(c_70308,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1164,c_69990,c_1384,c_69962,c_70063]) ).
tff(c_70309,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_436,c_70308]) ).
tff(c_70310,plain,
( ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_69958]) ).
tff(c_70312,plain,
n14 = '#skF_2',
inference(splitLeft,[status(thm)],[c_70310]) ).
tff(c_70330,plain,
sum('#skF_2',n11) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_70312,c_740]) ).
tff(c_67512,plain,
sum('#skF_1',n14) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_67501,c_524]) ).
tff(c_70318,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_70312,c_67512]) ).
tff(c_70377,plain,
succ('#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_70312,c_1406]) ).
tff(c_70402,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_70377,c_464]) ).
tff(c_70403,plain,
sum(n12,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1366,c_67522,c_70402]) ).
tff(c_70660,plain,
n16 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_838,c_70330,c_1368,c_70318,c_70403]) ).
tff(c_70661,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430,c_70660]) ).
tff(c_70662,plain,
( ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_70310]) ).
tff(c_70664,plain,
n7 = '#skF_2',
inference(splitLeft,[status(thm)],[c_70662]) ).
tff(c_70705,plain,
sum('#skF_2',n4) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_70664,c_1048]) ).
tff(c_70666,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_70664,c_67523]) ).
tff(c_67506,plain,
sum('#skF_1',n8) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_67501,c_536]) ).
tff(c_70729,plain,
succ('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_70664,c_1420]) ).
tff(c_70754,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_70729,c_464]) ).
tff(c_70755,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1380,c_67506,c_70754]) ).
tff(c_71012,plain,
n16 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1118,c_70705,c_1382,c_70666,c_70755]) ).
tff(c_71013,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430,c_71012]) ).
tff(c_71014,plain,
( ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_70662]) ).
tff(c_71016,plain,
n13 = '#skF_2',
inference(splitLeft,[status(thm)],[c_71014]) ).
tff(c_71082,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_71016,c_436]) ).
tff(c_71026,plain,
sum(n11,n2) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_71016,c_884]) ).
tff(c_71025,plain,
sum('#skF_2',n10) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_71016,c_784]) ).
tff(c_67532,plain,
sum('#skF_1',n13) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_67501,c_526]) ).
tff(c_71022,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_71016,c_67532]) ).
tff(c_71080,plain,
succ('#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_71016,c_1408]) ).
tff(c_71110,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_71080,c_464]) ).
tff(c_71111,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1368,c_67512,c_71110]) ).
tff(c_71364,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_71026,c_71025,c_1370,c_71022,c_71111]) ).
tff(c_71365,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71082,c_71364]) ).
tff(c_71366,plain,
( ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_71014]) ).
tff(c_71368,plain,
n8 = '#skF_2',
inference(splitLeft,[status(thm)],[c_71366]) ).
tff(c_71405,plain,
sum('#skF_2',n5) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_71368,c_1004]) ).
tff(c_71369,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_71368,c_67506]) ).
tff(c_67530,plain,
sum('#skF_1',n9) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_67501,c_534]) ).
tff(c_71430,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_71368,c_1418]) ).
tff(c_71470,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_71430,c_464]) ).
tff(c_71471,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1378,c_67530,c_71470]) ).
tff(c_71716,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_67529,c_71405,c_1380,c_71369,c_71471]) ).
tff(c_71717,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_67567,c_71716]) ).
tff(c_71718,plain,
( ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_71366]) ).
tff(c_71720,plain,
n12 = '#skF_2',
inference(splitLeft,[status(thm)],[c_71718]) ).
tff(c_71777,plain,
sum('#skF_2',n9) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_71720,c_828]) ).
tff(c_67551,plain,
sum('#skF_1',n12) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_67501,c_528]) ).
tff(c_71724,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_71720,c_67551]) ).
tff(c_71783,plain,
succ('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_71720,c_1410]) ).
tff(c_71818,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_71783,c_464]) ).
tff(c_71819,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1370,c_67532,c_71818]) ).
tff(c_72068,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_930,c_71777,c_1372,c_71724,c_71819]) ).
tff(c_72069,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_442,c_72068]) ).
tff(c_72070,plain,
( ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_71718]) ).
tff(c_72072,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_72070]) ).
tff(c_72091,plain,
sum('#skF_2',n6) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_72072,c_960]) ).
tff(c_72075,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_72072,c_67530]) ).
tff(c_67554,plain,
sum('#skF_1',n10) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_67501,c_532]) ).
tff(c_72134,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_72072,c_1416]) ).
tff(c_72162,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_72134,c_464]) ).
tff(c_72163,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1376,c_67554,c_72162]) ).
tff(c_72420,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1026,c_72091,c_1378,c_72075,c_72163]) ).
tff(c_72421,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_460,c_72420]) ).
tff(c_72422,plain,
( ( n10 = '#skF_2' )
| ( n11 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_72070]) ).
tff(c_72424,plain,
n11 = '#skF_2',
inference(splitLeft,[status(thm)],[c_72422]) ).
tff(c_67544,plain,
sum(n11,n8) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_67501,c_872]) ).
tff(c_72428,plain,
sum('#skF_2',n8) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_72424,c_67544]) ).
tff(c_67539,plain,
sum('#skF_1',n11) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_67501,c_530]) ).
tff(c_72427,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_72424,c_67539]) ).
tff(c_72486,plain,
succ('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_72424,c_1412]) ).
tff(c_72514,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_72486,c_464]) ).
tff(c_72515,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1372,c_67551,c_72514]) ).
tff(c_72772,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_67504,c_72428,c_1374,c_72427,c_72515]) ).
tff(c_72773,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_448,c_72772]) ).
tff(c_72774,plain,
n10 = '#skF_2',
inference(splitRight,[status(thm)],[c_72422]) ).
tff(c_72826,plain,
sum('#skF_2',n7) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_72774,c_916]) ).
tff(c_72780,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_72774,c_67554]) ).
tff(c_72837,plain,
succ('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_72774,c_1414]) ).
tff(c_72873,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_72837,c_464]) ).
tff(c_72874,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1374,c_67539,c_72873]) ).
tff(c_73123,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_980,c_72826,c_1376,c_72780,c_72874]) ).
tff(c_73124,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_454,c_73123]) ).
tff(c_73125,plain,
( ( n18 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_60809]) ).
tff(c_73478,plain,
( ( n18 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n2 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_73125]) ).
tff(c_73479,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_73478]) ).
tff(c_73178,plain,
sum(n2,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_1260]) ).
tff(c_73480,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_73479,c_73178]) ).
tff(c_73514,plain,
sum('#skF_1',n4) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_73479,c_1258]) ).
tff(c_73191,plain,
succ('#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_1428]) ).
tff(c_73221,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_73191,c_464]) ).
tff(c_73705,plain,
sum(pred(n6),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_73514,c_73221]) ).
tff(c_73706,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1380,c_73705]) ).
tff(c_73827,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1126,c_73130,c_1382,c_73480,c_73706]) ).
tff(c_73828,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_438,c_73827]) ).
tff(c_73829,plain,
( ( '#skF_2' = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n18 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_73478]) ).
tff(c_73831,plain,
n18 = '#skF_1',
inference(splitLeft,[status(thm)],[c_73829]) ).
tff(c_73174,plain,
sum(n18,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_588]) ).
tff(c_73835,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_73831,c_73174]) ).
tff(c_73879,plain,
sum('#skF_1',n4) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_73831,c_586]) ).
tff(c_74089,plain,
sum(pred(n1),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_73879,c_73221]) ).
tff(c_74090,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1390,c_74089]) ).
tff(c_74179,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1346,c_73155,c_1392,c_73835,c_74090]) ).
tff(c_74180,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_458,c_74179]) ).
tff(c_74181,plain,
( ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_73829]) ).
tff(c_74183,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_74181]) ).
tff(c_74226,plain,
sum('#skF_1',n4) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_74183,c_73130]) ).
tff(c_73129,plain,
sum('#skF_2',n5) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_1214]) ).
tff(c_74241,plain,
sum('#skF_1',n5) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_74183,c_73129]) ).
tff(c_73128,plain,
sum('#skF_2','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_73127,c_1218]) ).
tff(c_74234,plain,
sum('#skF_1','#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_74183,c_74183,c_73128]) ).
tff(c_74184,plain,
sum(pred(sum('#skF_1',n4)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_74183,c_74183,c_73221]) ).
tff(c_74535,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1082,c_1378,c_74226,c_74241,c_1380,c_74234,c_74184]) ).
tff(c_74536,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_434,c_74535]) ).
tff(c_74537,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_74181]) ).
tff(c_74539,plain,
n17 = '#skF_1',
inference(splitLeft,[status(thm)],[c_74537]) ).
tff(c_73172,plain,
sum(n17,'#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_630]) ).
tff(c_74542,plain,
sum('#skF_1','#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_74539,c_73172]) ).
tff(c_628,plain,
sum(n17,n4) = n0,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_74577,plain,
sum('#skF_1',n4) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_74539,c_628]) ).
tff(c_74797,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_74577,c_73221]) ).
tff(c_74798,plain,
sum(n20,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1392,c_74797]) ).
tff(c_74887,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_508,c_73184,c_1352,c_74542,c_74798]) ).
tff(c_74888,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_462,c_74887]) ).
tff(c_74889,plain,
( ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_74537]) ).
tff(c_74891,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_74889]) ).
tff(c_73165,plain,
sum(n4,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_1176]) ).
tff(c_74898,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_74891,c_73165]) ).
tff(c_74936,plain,
sum('#skF_1','#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_74891,c_74891,c_1174]) ).
tff(c_74892,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_74891,c_73221]) ).
tff(c_75238,plain,
n16 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1038,c_73180,c_1378,c_74898,c_1376,c_74936,c_74892]) ).
tff(c_75239,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430,c_75238]) ).
tff(c_75240,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_74889]) ).
tff(c_75242,plain,
n16 = '#skF_1',
inference(splitLeft,[status(thm)],[c_75240]) ).
tff(c_73169,plain,
sum(n16,'#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_672]) ).
tff(c_75244,plain,
sum('#skF_1','#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_75242,c_73169]) ).
tff(c_670,plain,
sum(n16,n4) = n20,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_75279,plain,
sum('#skF_1',n4) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_75242,c_670]) ).
tff(c_75412,plain,
sum(pred(n20),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_75279,c_73221]) ).
tff(c_75413,plain,
sum(n19,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1352,c_75412]) ).
tff(c_75590,plain,
n19 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_552,c_73168,c_1354,c_75244,c_75413]) ).
tff(c_75591,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_424,c_75590]) ).
tff(c_75592,plain,
( ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_75240]) ).
tff(c_75594,plain,
n5 = '#skF_1',
inference(splitLeft,[status(thm)],[c_75592]) ).
tff(c_73177,plain,
sum(n5,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_1134]) ).
tff(c_75595,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_75594,c_73177]) ).
tff(c_75616,plain,
sum('#skF_1',n4) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_75594,c_1132]) ).
tff(c_75912,plain,
sum(pred(n9),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_75616,c_73221]) ).
tff(c_75913,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1374,c_75912]) ).
tff(c_75942,plain,
n18 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_994,c_73138,c_1376,c_75595,c_75913]) ).
tff(c_75943,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426,c_75942]) ).
tff(c_75944,plain,
( ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_75592]) ).
tff(c_75946,plain,
n15 = '#skF_1',
inference(splitLeft,[status(thm)],[c_75944]) ).
tff(c_73166,plain,
sum(n15,'#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_714]) ).
tff(c_75949,plain,
sum('#skF_1','#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_75946,c_73166]) ).
tff(c_712,plain,
sum(n15,n4) = n19,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_75981,plain,
sum('#skF_1',n4) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_75946,c_712]) ).
tff(c_76116,plain,
sum(pred(n19),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_75981,c_73221]) ).
tff(c_76117,plain,
sum(n18,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1354,c_76116]) ).
tff(c_76294,plain,
n17 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_554,c_73142,c_1356,c_75949,c_76117]) ).
tff(c_76295,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428,c_76294]) ).
tff(c_76296,plain,
( ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_75944]) ).
tff(c_76298,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_76296]) ).
tff(c_73156,plain,
sum(n6,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_1092]) ).
tff(c_76302,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_76298,c_73156]) ).
tff(c_76310,plain,
sum('#skF_1',n4) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_76298,c_1090]) ).
tff(c_76520,plain,
sum(pred(n10),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_76310,c_73221]) ).
tff(c_76521,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1372,c_76520]) ).
tff(c_76646,plain,
n20 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_950,c_73139,c_1374,c_76302,c_76521]) ).
tff(c_76647,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422,c_76646]) ).
tff(c_76648,plain,
( ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_76296]) ).
tff(c_76650,plain,
n14 = '#skF_1',
inference(splitLeft,[status(thm)],[c_76648]) ).
tff(c_73163,plain,
sum(n14,'#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_756]) ).
tff(c_76653,plain,
sum('#skF_1','#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_76650,c_73163]) ).
tff(c_754,plain,
sum(n14,n4) = n18,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_76668,plain,
sum('#skF_1',n4) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_76650,c_754]) ).
tff(c_76832,plain,
sum(pred(n18),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_76668,c_73221]) ).
tff(c_76833,plain,
sum(n17,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1356,c_76832]) ).
tff(c_76998,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_598,c_73146,c_1358,c_76653,c_76833]) ).
tff(c_76999,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_432,c_76998]) ).
tff(c_77000,plain,
( ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_76648]) ).
tff(c_77002,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_77000]) ).
tff(c_73158,plain,
sum(n7,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_1050]) ).
tff(c_77007,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_77002,c_73158]) ).
tff(c_77045,plain,
sum('#skF_1',n4) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_77002,c_1048]) ).
tff(c_77200,plain,
sum(pred(n11),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_77045,c_73221]) ).
tff(c_77201,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1370,c_77200]) ).
tff(c_77350,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_906,c_73187,c_1372,c_77007,c_77201]) ).
tff(c_77351,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_460,c_77350]) ).
tff(c_77352,plain,
( ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_77000]) ).
tff(c_77354,plain,
n13 = '#skF_1',
inference(splitLeft,[status(thm)],[c_77352]) ).
tff(c_77420,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_77354,c_436]) ).
tff(c_77402,plain,
sum(n16,n18) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_77354,c_642]) ).
tff(c_73133,plain,
sum('#skF_2',n15) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_1194]) ).
tff(c_73148,plain,
sum(n13,'#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_798]) ).
tff(c_77359,plain,
sum('#skF_1','#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_77354,c_73148]) ).
tff(c_77390,plain,
sum('#skF_1',n4) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_77354,c_796]) ).
tff(c_77528,plain,
sum(pred(n17),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_77390,c_73221]) ).
tff(c_77529,plain,
sum(n16,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1358,c_77528]) ).
tff(c_77702,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_77402,c_73133,c_1360,c_77359,c_77529]) ).
tff(c_77703,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77420,c_77702]) ).
tff(c_77704,plain,
( ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_77352]) ).
tff(c_77706,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_77704]) ).
tff(c_73153,plain,
sum(n8,'#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_1008]) ).
tff(c_77709,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_77706,c_73153]) ).
tff(c_77741,plain,
sum('#skF_1',n4) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_77706,c_1006]) ).
tff(c_77888,plain,
sum(pred(n12),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_77741,c_73221]) ).
tff(c_77889,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1368,c_77888]) ).
tff(c_78054,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_73151,c_73137,c_1370,c_77709,c_77889]) ).
tff(c_78055,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_73192,c_78054]) ).
tff(c_78056,plain,
( ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_77704]) ).
tff(c_78058,plain,
n12 = '#skF_1',
inference(splitLeft,[status(thm)],[c_78056]) ).
tff(c_73160,plain,
sum(n12,'#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_840]) ).
tff(c_78059,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_78058,c_73160]) ).
tff(c_78069,plain,
sum('#skF_1',n4) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_78058,c_838]) ).
tff(c_78260,plain,
sum(pred(n16),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_78069,c_73221]) ).
tff(c_78261,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1360,c_78260]) ).
tff(c_78406,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_686,c_73141,c_1362,c_78059,c_78261]) ).
tff(c_78407,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_440,c_78406]) ).
tff(c_78408,plain,
( ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_78056]) ).
tff(c_78410,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_78408]) ).
tff(c_73186,plain,
sum(n9,'#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_966]) ).
tff(c_78415,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_78410,c_73186]) ).
tff(c_964,plain,
sum(n9,n4) = n13,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_78425,plain,
sum('#skF_1',n4) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_78410,c_964]) ).
tff(c_78724,plain,
sum(pred(n13),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_78425,c_73221]) ).
tff(c_78725,plain,
sum(n12,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1366,c_78724]) ).
tff(c_78758,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_818,c_73131,c_1368,c_78415,c_78725]) ).
tff(c_78759,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_452,c_78758]) ).
tff(c_78760,plain,
( ( n10 = '#skF_1' )
| ( n11 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_78408]) ).
tff(c_78762,plain,
n11 = '#skF_1',
inference(splitLeft,[status(thm)],[c_78760]) ).
tff(c_73185,plain,
sum(n11,'#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_882]) ).
tff(c_78765,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_78762,c_73185]) ).
tff(c_880,plain,
sum(n11,n4) = n15,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_78777,plain,
sum('#skF_1',n4) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_78762,c_880]) ).
tff(c_79076,plain,
sum(pred(n15),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_78777,c_73221]) ).
tff(c_79077,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1362,c_79076]) ).
tff(c_79110,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_730,c_73143,c_1364,c_78765,c_79077]) ).
tff(c_79111,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_444,c_79110]) ).
tff(c_79112,plain,
n10 = '#skF_1',
inference(splitRight,[status(thm)],[c_78760]) ).
tff(c_73176,plain,
sum(n10,'#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_73127,c_924]) ).
tff(c_79117,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_79112,c_73176]) ).
tff(c_922,plain,
sum(n10,n4) = n14,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_79169,plain,
sum('#skF_1',n4) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_79112,c_922]) ).
tff(c_79251,plain,
sum(pred(n14),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_79169,c_73221]) ).
tff(c_79252,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1364,c_79251]) ).
tff(c_79461,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_774,c_73147,c_1366,c_79117,c_79252]) ).
tff(c_79462,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_448,c_79461]) ).
tff(c_79463,plain,
( ( n4 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n16 = '#skF_2' )
| ( n17 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_67499]) ).
tff(c_79465,plain,
n17 = '#skF_2',
inference(splitLeft,[status(thm)],[c_79463]) ).
tff(c_626,plain,
sum(n17,n5) = n1,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_80174,plain,
sum('#skF_2',n5) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_626]) ).
tff(c_624,plain,
sum(n17,n6) = n2,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_80175,plain,
sum('#skF_2',n6) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_624]) ).
tff(c_80173,plain,
sum('#skF_2',n4) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_628]) ).
tff(c_622,plain,
sum(n17,n7) = n3,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_80176,plain,
sum('#skF_2',n7) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_622]) ).
tff(c_80172,plain,
sum('#skF_2',n3) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_630]) ).
tff(c_80171,plain,
sum('#skF_2',n2) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_632]) ).
tff(c_920,plain,
sum(n10,n5) = n15,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_618,plain,
sum(n17,n9) = n5,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_80178,plain,
sum('#skF_2',n9) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_618]) ).
tff(c_80170,plain,
sum('#skF_2',n1) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_634]) ).
tff(c_80202,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_428]) ).
tff(c_876,plain,
sum(n11,n6) = n17,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_80140,plain,
sum(n11,n6) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_876]) ).
tff(c_616,plain,
sum(n17,n10) = n6,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_80179,plain,
sum('#skF_2',n10) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_616]) ).
tff(c_80163,plain,
sum(n1,'#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_1274]) ).
tff(c_80169,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_79465,c_636]) ).
tff(c_832,plain,
sum(n12,n7) = n19,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_80180,plain,
sum('#skF_2',n11) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_614]) ).
tff(c_80189,plain,
sum('#skF_2',n20) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_596]) ).
tff(c_788,plain,
sum(n13,n8) = n0,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_80188,plain,
sum('#skF_2',n19) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_598]) ).
tff(c_744,plain,
sum(n14,n9) = n2,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_80182,plain,
sum('#skF_2',n13) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_610]) ).
tff(c_79516,plain,
sum('#skF_2',n18) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_600]) ).
tff(c_79466,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_73125]) ).
tff(c_79587,plain,
sum('#skF_1',n18) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_79466,c_1230]) ).
tff(c_79523,plain,
sum(n2,'#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_1232]) ).
tff(c_79712,plain,
sum('#skF_1','#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_79466,c_79523]) ).
tff(c_79529,plain,
succ('#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_1400]) ).
tff(c_79659,plain,
sum(pred(sum('#skF_1',n18)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_79529,c_464]) ).
tff(c_80134,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_524,c_79516,c_1352,c_79587,c_1354,c_79712,c_79659]) ).
tff(c_80135,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_438,c_80134]) ).
tff(c_80136,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n18 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_73125]) ).
tff(c_80488,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n18 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_80136]) ).
tff(c_80489,plain,
n18 = '#skF_1',
inference(splitLeft,[status(thm)],[c_80488]) ).
tff(c_80146,plain,
sum(n18,'#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_560]) ).
tff(c_80492,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_80489,c_80146]) ).
tff(c_80509,plain,
sum('#skF_1','#skF_1') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_80489,c_80489,c_558]) ).
tff(c_80200,plain,
succ('#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_1400]) ).
tff(c_80227,plain,
sum(pred(sum('#skF_1',n18)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_80200,c_464]) ).
tff(c_80490,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_80489,c_80227]) ).
tff(c_80836,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_744,c_80182,c_1364,c_80492,c_1362,c_80509,c_80490]) ).
tff(c_80837,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_458,c_80836]) ).
tff(c_80838,plain,
( ( '#skF_2' = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_80488]) ).
tff(c_80840,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_80838]) ).
tff(c_80144,plain,
sum(n3,'#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_1190]) ).
tff(c_80844,plain,
sum('#skF_1','#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_80840,c_80144]) ).
tff(c_80884,plain,
sum('#skF_1',n18) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_80840,c_1188]) ).
tff(c_81042,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_80884,c_80227]) ).
tff(c_81043,plain,
sum(n20,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1392,c_81042]) ).
tff(c_81188,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_480,c_80188,c_1352,c_80844,c_81043]) ).
tff(c_81189,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_434,c_81188]) ).
tff(c_81190,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_80838]) ).
tff(c_81192,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_81190]) ).
tff(c_80181,plain,
sum('#skF_2',n12) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_612]) ).
tff(c_81227,plain,
sum('#skF_1',n12) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_81192,c_80181]) ).
tff(c_80186,plain,
sum('#skF_2','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_79465,c_602]) ).
tff(c_81205,plain,
sum('#skF_1','#skF_1') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_81192,c_81192,c_80186]) ).
tff(c_80187,plain,
sum('#skF_2',n18) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_600]) ).
tff(c_81235,plain,
sum('#skF_1',n18) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_81192,c_80187]) ).
tff(c_81193,plain,
sum(pred(sum('#skF_1',n18)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_81192,c_81192,c_80227]) ).
tff(c_81544,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_788,c_81227,c_1366,c_81205,c_1364,c_81235,c_81193]) ).
tff(c_81545,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_462,c_81544]) ).
tff(c_81546,plain,
( ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_81190]) ).
tff(c_81548,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_81546]) ).
tff(c_1148,plain,
sum(n4,n17) = n0,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_80156,plain,
sum(n4,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_1148]) ).
tff(c_81553,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_81548,c_80156]) ).
tff(c_81606,plain,
sum('#skF_1',n18) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_81548,c_1146]) ).
tff(c_81690,plain,
sum(pred(n1),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_81606,c_80227]) ).
tff(c_81691,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1390,c_81690]) ).
tff(c_81896,plain,
n16 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1318,c_80189,c_1392,c_81553,c_81691]) ).
tff(c_81897,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430,c_81896]) ).
tff(c_81898,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_81546]) ).
tff(c_81900,plain,
n16 = '#skF_1',
inference(splitLeft,[status(thm)],[c_81898]) ).
tff(c_80168,plain,
sum(n16,'#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_644]) ).
tff(c_81902,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_81900,c_80168]) ).
tff(c_81954,plain,
sum('#skF_1',n18) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_81900,c_642]) ).
tff(c_82182,plain,
sum(pred(n13),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_81954,c_80227]) ).
tff(c_82183,plain,
sum(n12,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1366,c_82182]) ).
tff(c_82248,plain,
n19 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_832,c_80180,c_1368,c_81902,c_82183]) ).
tff(c_82249,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_424,c_82248]) ).
tff(c_82250,plain,
( ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_81898]) ).
tff(c_82252,plain,
n5 = '#skF_1',
inference(splitLeft,[status(thm)],[c_82250]) ).
tff(c_1106,plain,
sum(n5,n17) = n1,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_80160,plain,
sum(n5,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_1106]) ).
tff(c_82254,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_82252,c_80160]) ).
tff(c_82305,plain,
sum('#skF_1',n18) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_82252,c_1104]) ).
tff(c_82362,plain,
sum(pred(n2),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_82305,c_80227]) ).
tff(c_82363,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1388,c_82362]) ).
tff(c_82600,plain,
n18 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_80163,c_80169,c_1390,c_82254,c_82363]) ).
tff(c_82601,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426,c_82600]) ).
tff(c_82602,plain,
( ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_82250]) ).
tff(c_82604,plain,
n15 = '#skF_1',
inference(splitLeft,[status(thm)],[c_82602]) ).
tff(c_80166,plain,
sum(n15,'#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_686]) ).
tff(c_82610,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_82604,c_80166]) ).
tff(c_82654,plain,
sum('#skF_1',n18) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_82604,c_684]) ).
tff(c_82826,plain,
sum(pred(n12),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_82654,c_80227]) ).
tff(c_82827,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1368,c_82826]) ).
tff(c_82952,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_80140,c_80179,c_1370,c_82610,c_82827]) ).
tff(c_82953,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80202,c_82952]) ).
tff(c_82954,plain,
( ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_82602]) ).
tff(c_82956,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_82954]) ).
tff(c_1064,plain,
sum(n6,n17) = n2,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_80158,plain,
sum(n6,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_1064]) ).
tff(c_82960,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_82956,c_80158]) ).
tff(c_82995,plain,
sum('#skF_1',n18) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_82956,c_1062]) ).
tff(c_83118,plain,
sum(pred(n3),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_82995,c_80227]) ).
tff(c_83119,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1386,c_83118]) ).
tff(c_83304,plain,
n20 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1230,c_80170,c_1388,c_82960,c_83119]) ).
tff(c_83305,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422,c_83304]) ).
tff(c_83306,plain,
( ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_82954]) ).
tff(c_83308,plain,
n14 = '#skF_1',
inference(splitLeft,[status(thm)],[c_83306]) ).
tff(c_728,plain,
sum(n14,n17) = n10,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_80138,plain,
sum(n14,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_728]) ).
tff(c_83313,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_83308,c_80138]) ).
tff(c_83361,plain,
sum('#skF_1',n18) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_83308,c_726]) ).
tff(c_83414,plain,
sum(pred(n11),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_83361,c_80227]) ).
tff(c_83415,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1370,c_83414]) ).
tff(c_83656,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_920,c_80178,c_1372,c_83313,c_83415]) ).
tff(c_83657,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_432,c_83656]) ).
tff(c_83658,plain,
( ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_83306]) ).
tff(c_83660,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_83658]) ).
tff(c_1022,plain,
sum(n7,n17) = n3,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_80152,plain,
sum(n7,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_1022]) ).
tff(c_83663,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_83660,c_80152]) ).
tff(c_83693,plain,
sum('#skF_1',n18) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_83660,c_1020]) ).
tff(c_83798,plain,
sum(pred(n4),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_83693,c_80227]) ).
tff(c_83799,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1384,c_83798]) ).
tff(c_84008,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1186,c_80171,c_1386,c_83663,c_83799]) ).
tff(c_84009,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_460,c_84008]) ).
tff(c_84010,plain,
( ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_83658]) ).
tff(c_84012,plain,
n13 = '#skF_1',
inference(splitLeft,[status(thm)],[c_84010]) ).
tff(c_84078,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_84012,c_436]) ).
tff(c_84027,plain,
sum(n9,n4) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_84012,c_964]) ).
tff(c_620,plain,
sum(n17,n8) = n4,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_80177,plain,
sum('#skF_2',n8) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_620]) ).
tff(c_770,plain,
sum(n13,n17) = n9,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_80195,plain,
sum(n13,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_770]) ).
tff(c_84017,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_84012,c_80195]) ).
tff(c_84025,plain,
sum('#skF_1',n18) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_84012,c_768]) ).
tff(c_84122,plain,
sum(pred(n10),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_84025,c_80227]) ).
tff(c_84123,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1372,c_84122]) ).
tff(c_84360,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_84027,c_80177,c_1374,c_84017,c_84123]) ).
tff(c_84361,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84078,c_84360]) ).
tff(c_84362,plain,
( ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_84010]) ).
tff(c_84364,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_84362]) ).
tff(c_80143,plain,
sum(n8,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_980]) ).
tff(c_84367,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_84364,c_80143]) ).
tff(c_84409,plain,
sum('#skF_1',n18) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_84364,c_978]) ).
tff(c_84594,plain,
sum(pred(n5),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_84409,c_80227]) ).
tff(c_84595,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1382,c_84594]) ).
tff(c_84712,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1142,c_80172,c_1384,c_84367,c_84595]) ).
tff(c_84713,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_456,c_84712]) ).
tff(c_84714,plain,
( ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_84362]) ).
tff(c_84716,plain,
n12 = '#skF_1',
inference(splitLeft,[status(thm)],[c_84714]) ).
tff(c_812,plain,
sum(n12,n17) = n8,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_80145,plain,
sum(n12,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_812]) ).
tff(c_84721,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_84716,c_80145]) ).
tff(c_84770,plain,
sum('#skF_1',n18) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_84716,c_810]) ).
tff(c_85022,plain,
sum(pred(n9),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_84770,c_80227]) ).
tff(c_85023,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1374,c_85022]) ).
tff(c_85064,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1008,c_80176,c_1376,c_84721,c_85023]) ).
tff(c_85065,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_440,c_85064]) ).
tff(c_85066,plain,
( ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_84714]) ).
tff(c_85068,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_85066]) ).
tff(c_80196,plain,
sum(n9,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_938]) ).
tff(c_85073,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_85068,c_80196]) ).
tff(c_85076,plain,
sum('#skF_1',n18) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_85068,c_936]) ).
tff(c_85306,plain,
sum(pred(n6),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_85076,c_80227]) ).
tff(c_85307,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1380,c_85306]) ).
tff(c_85416,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1140,c_80173,c_1382,c_85073,c_85307]) ).
tff(c_85417,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_452,c_85416]) ).
tff(c_85418,plain,
( ( n10 = '#skF_1' )
| ( n11 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_85066]) ).
tff(c_85420,plain,
n11 = '#skF_1',
inference(splitLeft,[status(thm)],[c_85418]) ).
tff(c_854,plain,
sum(n11,n17) = n7,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_80197,plain,
sum(n11,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_854]) ).
tff(c_85425,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_85420,c_80197]) ).
tff(c_85457,plain,
sum('#skF_1',n18) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_85420,c_852]) ).
tff(c_85710,plain,
sum(pred(n8),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_85457,c_80227]) ).
tff(c_85711,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1376,c_85710]) ).
tff(c_85768,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1052,c_80175,c_1378,c_85425,c_85711]) ).
tff(c_85769,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_444,c_85768]) ).
tff(c_85770,plain,
n10 = '#skF_1',
inference(splitRight,[status(thm)],[c_85418]) ).
tff(c_896,plain,
sum(n10,n17) = n6,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_80149,plain,
sum(n10,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_79465,c_896]) ).
tff(c_85774,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_85770,c_80149]) ).
tff(c_85831,plain,
sum('#skF_1',n18) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_85770,c_894]) ).
tff(c_85889,plain,
sum(pred(n7),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_85831,c_80227]) ).
tff(c_85890,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1378,c_85889]) ).
tff(c_86119,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1096,c_80174,c_1380,c_85774,c_85890]) ).
tff(c_86120,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_448,c_86119]) ).
tff(c_86121,plain,
( ( n16 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' )
| ( n4 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_79463]) ).
tff(c_86123,plain,
n4 = '#skF_2',
inference(splitLeft,[status(thm)],[c_86121]) ).
tff(c_1154,plain,
sum(n4,n14) = n18,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_86146,plain,
sum('#skF_2',n14) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_1154]) ).
tff(c_772,plain,
sum(n13,n16) = n8,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1158,plain,
sum(n4,n12) = n16,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_86125,plain,
sum('#skF_2',n12) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_1158]) ).
tff(c_1152,plain,
sum(n4,n15) = n19,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_86151,plain,
sum('#skF_2',n15) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_1152]) ).
tff(c_816,plain,
sum(n12,n15) = n6,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_1160,plain,
sum(n4,n11) = n15,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_86163,plain,
sum('#skF_2',n11) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_1160]) ).
tff(c_1150,plain,
sum(n4,n16) = n20,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_86137,plain,
sum('#skF_2',n16) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_1150]) ).
tff(c_86188,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_454]) ).
tff(c_860,plain,
sum(n11,n14) = n4,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_86177,plain,
sum(n11,n14) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_860]) ).
tff(c_1162,plain,
sum(n4,n10) = n14,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_86124,plain,
sum('#skF_2',n10) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_1162]) ).
tff(c_86150,plain,
sum('#skF_2',n17) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_1148]) ).
tff(c_904,plain,
sum(n10,n13) = n2,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_86181,plain,
sum('#skF_2',n9) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_1164]) ).
tff(c_86180,plain,
sum('#skF_2',n18) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_1146]) ).
tff(c_948,plain,
sum(n9,n12) = n0,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_86156,plain,
sum('#skF_2',n8) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_1166]) ).
tff(c_86165,plain,
sum('#skF_2',n19) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_1144]) ).
tff(c_992,plain,
sum(n8,n11) = n19,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_86161,plain,
sum('#skF_2',n20) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_1142]) ).
tff(c_1036,plain,
sum(n7,n10) = n17,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_86164,plain,
sum('#skF_2',n6) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_1170]) ).
tff(c_86148,plain,
sum(n1,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_1300]) ).
tff(c_86130,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_86123,c_1182]) ).
tff(c_1080,plain,
sum(n6,n9) = n15,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_86159,plain,
sum('#skF_2',n5) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_1172]) ).
tff(c_86474,plain,
( ( n18 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_73125]) ).
tff(c_86475,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_86474]) ).
tff(c_86158,plain,
sum(n2,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_1258]) ).
tff(c_86480,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_86475,c_86158]) ).
tff(c_86511,plain,
sum('#skF_1',n5) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_86475,c_1256]) ).
tff(c_86185,plain,
succ('#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_1426]) ).
tff(c_86221,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_86185,c_464]) ).
tff(c_86661,plain,
sum(pred(n7),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_86511,c_86221]) ).
tff(c_86662,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1378,c_86661]) ).
tff(c_86823,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1080,c_86159,c_1380,c_86480,c_86662]) ).
tff(c_86824,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_432,c_86823]) ).
tff(c_86825,plain,
( ( n3 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n18 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_86474]) ).
tff(c_86827,plain,
n18 = '#skF_1',
inference(splitLeft,[status(thm)],[c_86825]) ).
tff(c_86174,plain,
sum(n18,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_586]) ).
tff(c_86829,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_86827,c_86174]) ).
tff(c_86877,plain,
sum('#skF_1',n5) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_86827,c_584]) ).
tff(c_87113,plain,
sum(pred(n2),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_86877,c_86221]) ).
tff(c_87114,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1388,c_87113]) ).
tff(c_87175,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_86148,c_86130,c_1390,c_86829,c_87114]) ).
tff(c_87176,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_452,c_87175]) ).
tff(c_87177,plain,
( ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_86825]) ).
tff(c_87179,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_87177]) ).
tff(c_86127,plain,
sum(n3,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_1216]) ).
tff(c_87181,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_87179,c_86127]) ).
tff(c_87190,plain,
sum('#skF_1',n5) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_87179,c_1214]) ).
tff(c_87361,plain,
sum(pred(n8),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_87190,c_86221]) ).
tff(c_87362,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1376,c_87361]) ).
tff(c_87527,plain,
n17 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1036,c_86164,c_1378,c_87181,c_87362]) ).
tff(c_87528,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428,c_87527]) ).
tff(c_87529,plain,
( ( '#skF_2' = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_87177]) ).
tff(c_87531,plain,
n17 = '#skF_1',
inference(splitLeft,[status(thm)],[c_87529]) ).
tff(c_86172,plain,
sum(n17,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_628]) ).
tff(c_87534,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_87531,c_86172]) ).
tff(c_87570,plain,
sum('#skF_1',n5) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_87531,c_626]) ).
tff(c_87749,plain,
sum(pred(n1),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_87570,c_86221]) ).
tff(c_87750,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1390,c_87749]) ).
tff(c_87879,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1344,c_86161,c_1392,c_87534,c_87750]) ).
tff(c_87880,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_456,c_87879]) ).
tff(c_87881,plain,
( ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_87529]) ).
tff(c_87883,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_87881]) ).
tff(c_86145,plain,
sum('#skF_2',n7) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_1168]) ).
tff(c_87912,plain,
sum('#skF_1',n7) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_87883,c_86145]) ).
tff(c_86162,plain,
sum('#skF_2','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_86123,c_1174]) ).
tff(c_87888,plain,
sum('#skF_1','#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_87883,c_87883,c_86162]) ).
tff(c_87889,plain,
sum('#skF_1',n5) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_87883,c_86159]) ).
tff(c_87884,plain,
sum(pred(sum('#skF_1',n5)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_87883,c_87883,c_86221]) ).
tff(c_88235,plain,
n19 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_992,c_87912,c_1376,c_87888,c_1374,c_87889,c_87884]) ).
tff(c_88236,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_424,c_88235]) ).
tff(c_88237,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_87881]) ).
tff(c_88239,plain,
n16 = '#skF_1',
inference(splitLeft,[status(thm)],[c_88237]) ).
tff(c_86169,plain,
sum(n16,'#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_670]) ).
tff(c_88242,plain,
sum('#skF_1','#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_88239,c_86169]) ).
tff(c_668,plain,
sum(n16,n5) = n0,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_88277,plain,
sum('#skF_1',n5) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_88239,c_668]) ).
tff(c_88417,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_88277,c_86221]) ).
tff(c_88418,plain,
sum(n20,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1392,c_88417]) ).
tff(c_88587,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_506,c_86165,c_1352,c_88242,c_88418]) ).
tff(c_88588,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_460,c_88587]) ).
tff(c_88589,plain,
( ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_88237]) ).
tff(c_88591,plain,
n5 = '#skF_1',
inference(splitLeft,[status(thm)],[c_88589]) ).
tff(c_86142,plain,
sum(n5,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_1132]) ).
tff(c_88593,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_88591,c_86142]) ).
tff(c_88609,plain,
sum('#skF_1','#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_88591,c_88591,c_1130]) ).
tff(c_88592,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_88591,c_86221]) ).
tff(c_88938,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_948,c_86156,c_1374,c_88593,c_1372,c_88609,c_88592]) ).
tff(c_88939,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_462,c_88938]) ).
tff(c_88940,plain,
( ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_88589]) ).
tff(c_88942,plain,
n15 = '#skF_1',
inference(splitLeft,[status(thm)],[c_88940]) ).
tff(c_86167,plain,
sum(n15,'#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_712]) ).
tff(c_88947,plain,
sum('#skF_1','#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_88942,c_86167]) ).
tff(c_710,plain,
sum(n15,n5) = n20,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_88977,plain,
sum('#skF_1',n5) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_88942,c_710]) ).
tff(c_89112,plain,
sum(pred(n20),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_88977,c_86221]) ).
tff(c_89113,plain,
sum(n19,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1352,c_89112]) ).
tff(c_89290,plain,
n20 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_550,c_86180,c_1354,c_88947,c_89113]) ).
tff(c_89291,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422,c_89290]) ).
tff(c_89292,plain,
( ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_88940]) ).
tff(c_89294,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_89292]) ).
tff(c_86126,plain,
sum(n6,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_1090]) ).
tff(c_89296,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_89294,c_86126]) ).
tff(c_89353,plain,
sum('#skF_1',n5) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_89294,c_1088]) ).
tff(c_89428,plain,
sum(pred(n11),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_89353,c_86221]) ).
tff(c_89429,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1370,c_89428]) ).
tff(c_89642,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_904,c_86181,c_1372,c_89296,c_89429]) ).
tff(c_89643,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_458,c_89642]) ).
tff(c_89644,plain,
( ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_89292]) ).
tff(c_89646,plain,
n14 = '#skF_1',
inference(splitLeft,[status(thm)],[c_89644]) ).
tff(c_86132,plain,
sum(n14,'#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_754]) ).
tff(c_89652,plain,
sum('#skF_1','#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_89646,c_86132]) ).
tff(c_89654,plain,
sum('#skF_1',n5) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_89646,c_752]) ).
tff(c_89892,plain,
sum(pred(n19),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_89654,c_86221]) ).
tff(c_89893,plain,
sum(n18,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1354,c_89892]) ).
tff(c_89994,plain,
n18 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_594,c_86150,c_1356,c_89652,c_89893]) ).
tff(c_89995,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426,c_89994]) ).
tff(c_89996,plain,
( ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_89644]) ).
tff(c_89998,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_89996]) ).
tff(c_86154,plain,
sum(n7,'#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_1048]) ).
tff(c_90004,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_89998,c_86154]) ).
tff(c_90018,plain,
sum('#skF_1',n5) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_89998,c_1046]) ).
tff(c_90200,plain,
sum(pred(n12),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_90018,c_86221]) ).
tff(c_90201,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1368,c_90200]) ).
tff(c_90346,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_86177,c_86124,c_1370,c_90004,c_90201]) ).
tff(c_90347,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86188,c_90346]) ).
tff(c_90348,plain,
( ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_89996]) ).
tff(c_90350,plain,
n13 = '#skF_1',
inference(splitLeft,[status(thm)],[c_90348]) ).
tff(c_86153,plain,
sum(n13,'#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_796]) ).
tff(c_90356,plain,
sum('#skF_1','#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_90350,c_86153]) ).
tff(c_90394,plain,
sum('#skF_1',n5) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_90350,c_794]) ).
tff(c_90556,plain,
sum(pred(n18),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_90394,c_86221]) ).
tff(c_90557,plain,
sum(n17,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1356,c_90556]) ).
tff(c_90698,plain,
n16 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_596,c_86137,c_1358,c_90356,c_90557]) ).
tff(c_90699,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430,c_90698]) ).
tff(c_90700,plain,
( ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_90348]) ).
tff(c_90702,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_90700]) ).
tff(c_86147,plain,
sum(n8,'#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_1006]) ).
tff(c_90704,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_90702,c_86147]) ).
tff(c_90738,plain,
sum('#skF_1',n5) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_90702,c_1004]) ).
tff(c_90808,plain,
sum(pred(n13),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_90738,c_86221]) ).
tff(c_90809,plain,
sum(n12,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1366,c_90808]) ).
tff(c_91050,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_816,c_86163,c_1368,c_90704,c_90809]) ).
tff(c_91051,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_450,c_91050]) ).
tff(c_91052,plain,
( ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_90700]) ).
tff(c_91054,plain,
n12 = '#skF_1',
inference(splitLeft,[status(thm)],[c_91052]) ).
tff(c_86128,plain,
sum(n12,'#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_838]) ).
tff(c_91060,plain,
sum('#skF_1','#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_91054,c_86128]) ).
tff(c_836,plain,
sum(n12,n5) = n17,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_91106,plain,
sum('#skF_1',n5) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_91054,c_836]) ).
tff(c_91352,plain,
sum(pred(n17),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_91106,c_86221]) ).
tff(c_91353,plain,
sum(n16,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1358,c_91352]) ).
tff(c_91402,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_640,c_86151,c_1360,c_91060,c_91353]) ).
tff(c_91403,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_434,c_91402]) ).
tff(c_91404,plain,
( ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_91052]) ).
tff(c_91406,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_91404]) ).
tff(c_86129,plain,
sum(n9,'#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_964]) ).
tff(c_91411,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_91406,c_86129]) ).
tff(c_91463,plain,
sum('#skF_1',n5) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_91406,c_962]) ).
tff(c_91572,plain,
sum(pred(n14),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_91463,c_86221]) ).
tff(c_91573,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1364,c_91572]) ).
tff(c_91754,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_772,c_86125,c_1366,c_91411,c_91573]) ).
tff(c_91755,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_446,c_91754]) ).
tff(c_91756,plain,
( ( n10 = '#skF_1' )
| ( n11 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_91404]) ).
tff(c_91758,plain,
n11 = '#skF_1',
inference(splitLeft,[status(thm)],[c_91756]) ).
tff(c_86134,plain,
sum(n11,'#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_880]) ).
tff(c_91761,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_91758,c_86134]) ).
tff(c_878,plain,
sum(n11,n5) = n16,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_91817,plain,
sum('#skF_1',n5) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_91758,c_878]) ).
tff(c_92020,plain,
sum(pred(n16),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_91817,c_86221]) ).
tff(c_92021,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1360,c_92020]) ).
tff(c_92106,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_684,c_86146,c_1362,c_91761,c_92021]) ).
tff(c_92107,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_438,c_92106]) ).
tff(c_92108,plain,
n10 = '#skF_1',
inference(splitRight,[status(thm)],[c_91756]) ).
tff(c_92175,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_92108,c_442]) ).
tff(c_92117,plain,
sum(n14,n17) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_92108,c_728]) ).
tff(c_92166,plain,
sum('#skF_1',n5) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_92108,c_920]) ).
tff(c_1156,plain,
sum(n4,n13) = n17,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_86140,plain,
sum('#skF_2',n13) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_1156]) ).
tff(c_86178,plain,
sum(n10,'#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_86123,c_922]) ).
tff(c_92115,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_92108,c_86178]) ).
tff(c_92219,plain,
sum(pred(sum('#skF_1',n5)),sum('#skF_2',pred(n14))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_92115,c_86221]) ).
tff(c_92220,plain,
sum(pred(sum('#skF_1',n5)),n17) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_86140,c_1364,c_92219]) ).
tff(c_92457,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_92117,c_1362,c_92166,c_92220]) ).
tff(c_92458,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92175,c_92457]) ).
tff(c_92459,plain,
( ( n5 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' )
| ( n16 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_86121]) ).
tff(c_92461,plain,
n16 = '#skF_2',
inference(splitLeft,[status(thm)],[c_92459]) ).
tff(c_92497,plain,
sum('#skF_2',n5) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_668]) ).
tff(c_92495,plain,
sum('#skF_2',n3) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_672]) ).
tff(c_666,plain,
sum(n16,n6) = n1,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_92498,plain,
sum('#skF_2',n6) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_666]) ).
tff(c_92494,plain,
sum('#skF_2',n2) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_674]) ).
tff(c_664,plain,
sum(n16,n7) = n2,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_92499,plain,
sum('#skF_2',n7) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_664]) ).
tff(c_92493,plain,
sum('#skF_2',n1) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_676]) ).
tff(c_662,plain,
sum(n16,n8) = n3,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_92500,plain,
sum('#skF_2',n8) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_662]) ).
tff(c_92482,plain,
sum(n1,'#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_1276]) ).
tff(c_92492,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_92461,c_678]) ).
tff(c_92501,plain,
sum('#skF_2',n9) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_660]) ).
tff(c_92512,plain,
sum('#skF_2',n20) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_638]) ).
tff(c_92511,plain,
sum('#skF_2',n19) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_640]) ).
tff(c_834,plain,
sum(n12,n6) = n18,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_92503,plain,
sum('#skF_2',n11) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_656]) ).
tff(c_92510,plain,
sum('#skF_2',n18) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_642]) ).
tff(c_790,plain,
sum(n13,n7) = n20,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_92504,plain,
sum('#skF_2',n12) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_654]) ).
tff(c_92509,plain,
sum('#skF_2',n17) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_644]) ).
tff(c_92812,plain,
( ( n18 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_73125]) ).
tff(c_92813,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_92812]) ).
tff(c_92518,plain,
sum(n2,'#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_1234]) ).
tff(c_92817,plain,
sum('#skF_1','#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_92813,c_92518]) ).
tff(c_92871,plain,
sum('#skF_1',n17) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_92813,c_1232]) ).
tff(c_92522,plain,
succ('#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_1402]) ).
tff(c_92563,plain,
sum(pred(sum('#skF_1',n17)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_92522,c_464]) ).
tff(c_92955,plain,
sum(pred(n19),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_92871,c_92563]) ).
tff(c_92956,plain,
sum(n18,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1354,c_92955]) ).
tff(c_93161,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_570,c_92509,c_1356,c_92817,c_92956]) ).
tff(c_93162,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_444,c_93161]) ).
tff(c_93163,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n18 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_92812]) ).
tff(c_93165,plain,
n18 = '#skF_1',
inference(splitLeft,[status(thm)],[c_93163]) ).
tff(c_92474,plain,
sum(n18,'#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_562]) ).
tff(c_93169,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_93165,c_92474]) ).
tff(c_93181,plain,
sum('#skF_1',n17) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_93165,c_560]) ).
tff(c_93379,plain,
sum(pred(n14),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_93181,c_92563]) ).
tff(c_93380,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1364,c_93379]) ).
tff(c_93513,plain,
n20 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_790,c_92504,c_1366,c_93169,c_93380]) ).
tff(c_93514,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422,c_93513]) ).
tff(c_93515,plain,
( ( n17 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_93163]) ).
tff(c_93517,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_93515]) ).
tff(c_92477,plain,
sum(n3,'#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_1192]) ).
tff(c_93519,plain,
sum('#skF_1','#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_93517,c_92477]) ).
tff(c_93539,plain,
sum('#skF_1',n17) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_93517,c_1190]) ).
tff(c_93835,plain,
sum(pred(n20),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_93539,c_92563]) ).
tff(c_93836,plain,
sum(n19,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1352,c_93835]) ).
tff(c_93865,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_526,c_92510,c_1354,c_93519,c_93836]) ).
tff(c_93866,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_440,c_93865]) ).
tff(c_93867,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n17 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_93515]) ).
tff(c_93869,plain,
n17 = '#skF_1',
inference(splitLeft,[status(thm)],[c_93867]) ).
tff(c_92513,plain,
sum(n17,'#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_604]) ).
tff(c_93874,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_93869,c_92513]) ).
tff(c_93923,plain,
sum('#skF_1','#skF_1') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_93869,c_93869,c_602]) ).
tff(c_93870,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_93869,c_92563]) ).
tff(c_94216,plain,
n18 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_834,c_92503,c_1368,c_93874,c_1366,c_93923,c_93870]) ).
tff(c_94217,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426,c_94216]) ).
tff(c_94218,plain,
( ( '#skF_2' = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_93867]) ).
tff(c_94220,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_94218]) ).
tff(c_92473,plain,
sum(n4,'#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_1150]) ).
tff(c_94224,plain,
sum('#skF_1','#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_94220,c_92473]) ).
tff(c_94250,plain,
sum('#skF_1',n17) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_94220,c_1148]) ).
tff(c_94390,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_94250,c_92563]) ).
tff(c_94391,plain,
sum(n20,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1392,c_94390]) ).
tff(c_94568,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_482,c_92511,c_1352,c_94224,c_94391]) ).
tff(c_94569,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_436,c_94568]) ).
tff(c_94570,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_94218]) ).
tff(c_94572,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_94570]) ).
tff(c_92526,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_430]) ).
tff(c_94649,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_94572,c_92526]) ).
tff(c_92521,plain,
sum(n11,n5) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_878]) ).
tff(c_94626,plain,
sum(n11,n5) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_94572,c_92521]) ).
tff(c_92502,plain,
sum('#skF_2',n10) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_658]) ).
tff(c_94581,plain,
sum('#skF_1',n10) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_94572,c_92502]) ).
tff(c_92508,plain,
sum('#skF_2','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_92461,c_646]) ).
tff(c_94610,plain,
sum('#skF_1','#skF_1') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_94572,c_94572,c_92508]) ).
tff(c_94611,plain,
sum('#skF_1',n17) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_94572,c_92509]) ).
tff(c_94573,plain,
sum(pred(sum('#skF_1',n17)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_94572,c_94572,c_92563]) ).
tff(c_94924,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_94626,c_94581,c_1370,c_94610,c_1368,c_94611,c_94573]) ).
tff(c_94925,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94649,c_94924]) ).
tff(c_94926,plain,
( ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_94570]) ).
tff(c_94928,plain,
n5 = '#skF_1',
inference(splitLeft,[status(thm)],[c_94926]) ).
tff(c_1108,plain,
sum(n5,n16) = n0,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_92488,plain,
sum(n5,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_1108]) ).
tff(c_94929,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_94928,c_92488]) ).
tff(c_94964,plain,
sum('#skF_1',n17) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_94928,c_1106]) ).
tff(c_95142,plain,
sum(pred(n1),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_94964,c_92563]) ).
tff(c_95143,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1390,c_95142]) ).
tff(c_95276,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1320,c_92512,c_1392,c_94929,c_95143]) ).
tff(c_95277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_432,c_95276]) ).
tff(c_95278,plain,
( ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_94926]) ).
tff(c_95280,plain,
n15 = '#skF_1',
inference(splitLeft,[status(thm)],[c_95278]) ).
tff(c_92491,plain,
sum(n15,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_688]) ).
tff(c_95286,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_95280,c_92491]) ).
tff(c_95331,plain,
sum('#skF_1',n17) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_95280,c_686]) ).
tff(c_95554,plain,
sum(pred(n11),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_95331,c_92563]) ).
tff(c_95555,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1370,c_95554]) ).
tff(c_95628,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_922,c_92501,c_1372,c_95286,c_95555]) ).
tff(c_95629,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_434,c_95628]) ).
tff(c_95630,plain,
( ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_95278]) ).
tff(c_95632,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_95630]) ).
tff(c_1066,plain,
sum(n6,n16) = n1,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_92485,plain,
sum(n6,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_1066]) ).
tff(c_95633,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_95632,c_92485]) ).
tff(c_95671,plain,
sum('#skF_1',n17) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_95632,c_1064]) ).
tff(c_95794,plain,
sum(pred(n2),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_95671,c_92563]) ).
tff(c_95795,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1388,c_95794]) ).
tff(c_95980,plain,
n17 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_92482,c_92492,c_1390,c_95633,c_95795]) ).
tff(c_95981,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428,c_95980]) ).
tff(c_95982,plain,
( ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_95630]) ).
tff(c_95984,plain,
n14 = '#skF_1',
inference(splitLeft,[status(thm)],[c_95982]) ).
tff(c_92479,plain,
sum(n14,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_730]) ).
tff(c_95987,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_95984,c_92479]) ).
tff(c_95993,plain,
sum('#skF_1',n17) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_95984,c_728]) ).
tff(c_96158,plain,
sum(pred(n10),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_95993,c_92563]) ).
tff(c_96159,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1372,c_96158]) ).
tff(c_96332,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_966,c_92500,c_1374,c_95987,c_96159]) ).
tff(c_96333,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_438,c_96332]) ).
tff(c_96334,plain,
( ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_95982]) ).
tff(c_96336,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_96334]) ).
tff(c_1024,plain,
sum(n7,n16) = n2,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_92481,plain,
sum(n7,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_1024]) ).
tff(c_96340,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_96336,c_92481]) ).
tff(c_96367,plain,
sum('#skF_1',n17) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_96336,c_1022]) ).
tff(c_96602,plain,
sum(pred(n3),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_96367,c_92563]) ).
tff(c_96603,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1386,c_96602]) ).
tff(c_96684,plain,
n19 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1232,c_92493,c_1388,c_96340,c_96603]) ).
tff(c_96685,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_424,c_96684]) ).
tff(c_96686,plain,
( ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_96334]) ).
tff(c_96688,plain,
n13 = '#skF_1',
inference(splitLeft,[status(thm)],[c_96686]) ).
tff(c_92468,plain,
sum(n13,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_772]) ).
tff(c_96689,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_96688,c_92468]) ).
tff(c_96745,plain,
sum('#skF_1',n17) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_96688,c_770]) ).
tff(c_96842,plain,
sum(pred(n9),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_96745,c_92563]) ).
tff(c_96843,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1374,c_96842]) ).
tff(c_97036,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1010,c_92499,c_1376,c_96689,c_96843]) ).
tff(c_97037,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_442,c_97036]) ).
tff(c_97038,plain,
( ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_96686]) ).
tff(c_97040,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_97038]) ).
tff(c_92486,plain,
sum(n8,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_982]) ).
tff(c_97044,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_97040,c_92486]) ).
tff(c_97059,plain,
sum('#skF_1',n17) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_97040,c_980]) ).
tff(c_97266,plain,
sum(pred(n4),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_97059,c_92563]) ).
tff(c_97267,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1384,c_97266]) ).
tff(c_97388,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1188,c_92494,c_1386,c_97044,c_97267]) ).
tff(c_97389,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_462,c_97388]) ).
tff(c_97390,plain,
( ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_97038]) ).
tff(c_97392,plain,
n12 = '#skF_1',
inference(splitLeft,[status(thm)],[c_97390]) ).
tff(c_814,plain,
sum(n12,n16) = n7,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_92514,plain,
sum(n12,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_814]) ).
tff(c_97397,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_97392,c_92514]) ).
tff(c_97409,plain,
sum('#skF_1',n17) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_97392,c_812]) ).
tff(c_97646,plain,
sum(pred(n8),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_97409,c_92563]) ).
tff(c_97647,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1376,c_97646]) ).
tff(c_97740,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1054,c_92498,c_1378,c_97397,c_97647]) ).
tff(c_97741,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_446,c_97740]) ).
tff(c_97742,plain,
( ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_97390]) ).
tff(c_97744,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_97742]) ).
tff(c_92476,plain,
sum(n9,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_940]) ).
tff(c_97750,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_97744,c_92476]) ).
tff(c_97803,plain,
sum('#skF_1',n17) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_97744,c_938]) ).
tff(c_97870,plain,
sum(pred(n5),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_97803,c_92563]) ).
tff(c_97871,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1382,c_97870]) ).
tff(c_98092,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1144,c_92495,c_1384,c_97750,c_97871]) ).
tff(c_98093,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_458,c_98092]) ).
tff(c_98094,plain,
( ( n10 = '#skF_1' )
| ( n11 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_97742]) ).
tff(c_98096,plain,
n11 = '#skF_1',
inference(splitLeft,[status(thm)],[c_98094]) ).
tff(c_856,plain,
sum(n11,n16) = n6,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_92469,plain,
sum(n11,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_856]) ).
tff(c_98097,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_98096,c_92469]) ).
tff(c_98157,plain,
sum('#skF_1',n17) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_98096,c_854]) ).
tff(c_98214,plain,
sum(pred(n7),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_98157,c_92563]) ).
tff(c_98215,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1378,c_98214]) ).
tff(c_98444,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1098,c_92497,c_1380,c_98097,c_98215]) ).
tff(c_98445,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_450,c_98444]) ).
tff(c_98446,plain,
n10 = '#skF_1',
inference(splitRight,[status(thm)],[c_98094]) ).
tff(c_98469,plain,
sum('#skF_1',n17) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_98446,c_896]) ).
tff(c_92496,plain,
sum('#skF_2',n4) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_670]) ).
tff(c_898,plain,
sum(n10,n16) = n5,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_92463,plain,
sum(n10,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_92461,c_898]) ).
tff(c_98451,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_98446,c_92463]) ).
tff(c_98597,plain,
sum(pred(sum('#skF_1',n17)),sum('#skF_2',pred(n5))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_98451,c_92563]) ).
tff(c_98598,plain,
sum(pred(sum('#skF_1',n17)),n20) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_92496,c_1382,c_98597]) ).
tff(c_98795,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1100,c_1380,c_98469,c_98598]) ).
tff(c_98796,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_454,c_98795]) ).
tff(c_98797,plain,
( ( n15 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' )
| ( n5 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_92459]) ).
tff(c_98799,plain,
n5 = '#skF_2',
inference(splitLeft,[status(thm)],[c_98797]) ).
tff(c_1112,plain,
sum(n5,n14) = n19,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_98812,plain,
sum('#skF_2',n14) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_1112]) ).
tff(c_1110,plain,
sum(n5,n15) = n20,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_98808,plain,
sum('#skF_2',n15) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_1110]) ).
tff(c_1114,plain,
sum(n5,n13) = n18,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_98803,plain,
sum('#skF_2',n13) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_1114]) ).
tff(c_98833,plain,
sum('#skF_2',n16) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_1108]) ).
tff(c_1116,plain,
sum(n5,n12) = n17,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_98810,plain,
sum('#skF_2',n12) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_1116]) ).
tff(c_98829,plain,
sum('#skF_2',n17) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_1106]) ).
tff(c_98849,plain,
sum('#skF_2',n18) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_1104]) ).
tff(c_98864,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_452]) ).
tff(c_858,plain,
sum(n11,n15) = n5,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_98801,plain,
sum(n11,n15) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_858]) ).
tff(c_98826,plain,
sum('#skF_2',n10) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_1120]) ).
tff(c_98809,plain,
sum('#skF_2',n19) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_1102]) ).
tff(c_902,plain,
sum(n10,n14) = n3,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_98824,plain,
sum('#skF_2',n20) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_1100]) ).
tff(c_946,plain,
sum(n9,n13) = n1,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_98838,plain,
sum('#skF_2',n8) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_1124]) ).
tff(c_98827,plain,
sum(n1,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_1298]) ).
tff(c_98820,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_98799,c_1140]) ).
tff(c_990,plain,
sum(n8,n12) = n20,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_98825,plain,
sum('#skF_2',n7) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_1126]) ).
tff(c_98816,plain,
sum('#skF_2',n1) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_1138]) ).
tff(c_1034,plain,
sum(n7,n11) = n18,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_98813,plain,
sum('#skF_2',n6) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_1128]) ).
tff(c_99150,plain,
( ( n18 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' )
| ( n2 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_73125]) ).
tff(c_99151,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_99150]) ).
tff(c_98832,plain,
sum(n2,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_1256]) ).
tff(c_99152,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_99151,c_98832]) ).
tff(c_99182,plain,
sum('#skF_1',n6) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_99151,c_1254]) ).
tff(c_98860,plain,
succ('#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_1424]) ).
tff(c_98901,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_98860,c_464]) ).
tff(c_99441,plain,
sum(pred(n8),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_99182,c_98901]) ).
tff(c_99442,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1376,c_99441]) ).
tff(c_99499,plain,
n18 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1034,c_98813,c_1378,c_99152,c_99442]) ).
tff(c_99500,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426,c_99499]) ).
tff(c_99501,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n18 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_99150]) ).
tff(c_99503,plain,
n18 = '#skF_1',
inference(splitLeft,[status(thm)],[c_99501]) ).
tff(c_98844,plain,
sum(n18,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_584]) ).
tff(c_99505,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_99503,c_98844]) ).
tff(c_99554,plain,
sum('#skF_1',n6) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_99503,c_582]) ).
tff(c_99777,plain,
sum(pred(n3),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_99554,c_98901]) ).
tff(c_99778,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1386,c_99777]) ).
tff(c_99851,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1254,c_98816,c_1388,c_99505,c_99778]) ).
tff(c_99852,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_446,c_99851]) ).
tff(c_99853,plain,
( ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_99501]) ).
tff(c_99855,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_99853]) ).
tff(c_98806,plain,
sum(n3,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_1214]) ).
tff(c_99861,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_99855,c_98806]) ).
tff(c_99909,plain,
sum('#skF_1',n6) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_99855,c_1212]) ).
tff(c_100149,plain,
sum(pred(n9),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_99909,c_98901]) ).
tff(c_100150,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1374,c_100149]) ).
tff(c_100203,plain,
n20 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_990,c_98825,c_1376,c_99861,c_100150]) ).
tff(c_100204,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422,c_100203]) ).
tff(c_100205,plain,
( ( n4 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_99853]) ).
tff(c_100207,plain,
n17 = '#skF_1',
inference(splitLeft,[status(thm)],[c_100205]) ).
tff(c_98841,plain,
sum(n17,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_626]) ).
tff(c_100208,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_100207,c_98841]) ).
tff(c_100249,plain,
sum('#skF_1',n6) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_100207,c_624]) ).
tff(c_100405,plain,
sum(pred(n2),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_100249,c_98901]) ).
tff(c_100406,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1388,c_100405]) ).
tff(c_100555,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_98827,c_98820,c_1390,c_100208,c_100406]) ).
tff(c_100556,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_450,c_100555]) ).
tff(c_100557,plain,
( ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_100205]) ).
tff(c_100559,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_100557]) ).
tff(c_98831,plain,
sum(n4,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_1172]) ).
tff(c_100562,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_100559,c_98831]) ).
tff(c_100604,plain,
sum('#skF_1',n6) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_100559,c_1170]) ).
tff(c_100793,plain,
sum(pred(n10),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_100604,c_98901]) ).
tff(c_100794,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1372,c_100793]) ).
tff(c_100907,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_946,c_98838,c_1374,c_100562,c_100794]) ).
tff(c_100908,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_460,c_100907]) ).
tff(c_100909,plain,
( ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_100557]) ).
tff(c_100911,plain,
n16 = '#skF_1',
inference(splitLeft,[status(thm)],[c_100909]) ).
tff(c_98839,plain,
sum(n16,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_668]) ).
tff(c_100912,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_100911,c_98839]) ).
tff(c_100952,plain,
sum('#skF_1',n6) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_100911,c_666]) ).
tff(c_101109,plain,
sum(pred(n1),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_100952,c_98901]) ).
tff(c_101110,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1390,c_101109]) ).
tff(c_101259,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1342,c_98824,c_1392,c_100912,c_101110]) ).
tff(c_101260,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_454,c_101259]) ).
tff(c_101261,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' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_100909]) ).
tff(c_101263,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_101261]) ).
tff(c_98814,plain,
sum('#skF_2',n9) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_1122]) ).
tff(c_101316,plain,
sum('#skF_1',n9) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_101263,c_98814]) ).
tff(c_98807,plain,
sum('#skF_2','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_98799,c_1130]) ).
tff(c_101284,plain,
sum('#skF_1','#skF_1') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_101263,c_101263,c_98807]) ).
tff(c_101324,plain,
sum('#skF_1',n6) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_101263,c_98813]) ).
tff(c_101264,plain,
sum(pred(sum('#skF_1',n6)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_101263,c_101263,c_98901]) ).
tff(c_101615,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_902,c_101316,c_1372,c_101284,c_1370,c_101324,c_101264]) ).
tff(c_101616,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_456,c_101615]) ).
tff(c_101617,plain,
( ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_101261]) ).
tff(c_101619,plain,
n15 = '#skF_1',
inference(splitLeft,[status(thm)],[c_101617]) ).
tff(c_98834,plain,
sum(n15,'#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_710]) ).
tff(c_101620,plain,
sum('#skF_1','#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_101619,c_98834]) ).
tff(c_708,plain,
sum(n15,n6) = n0,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_101656,plain,
sum('#skF_1',n6) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_101619,c_708]) ).
tff(c_101797,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_101656,c_98901]) ).
tff(c_101798,plain,
sum(n20,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1392,c_101797]) ).
tff(c_101967,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_504,c_98809,c_1352,c_101620,c_101798]) ).
tff(c_101968,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_458,c_101967]) ).
tff(c_101969,plain,
( ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_101617]) ).
tff(c_101971,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_101969]) ).
tff(c_98851,plain,
sum(n6,'#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_1088]) ).
tff(c_101977,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_101971,c_98851]) ).
tff(c_101997,plain,
sum('#skF_1','#skF_1') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_101971,c_101971,c_1086]) ).
tff(c_101972,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_101971,c_98901]) ).
tff(c_102318,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_98801,c_98826,c_1370,c_101977,c_1368,c_101997,c_101972]) ).
tff(c_102319,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98864,c_102318]) ).
tff(c_102320,plain,
( ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_101969]) ).
tff(c_102322,plain,
n14 = '#skF_1',
inference(splitLeft,[status(thm)],[c_102320]) ).
tff(c_98800,plain,
sum(n14,'#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_752]) ).
tff(c_102327,plain,
sum('#skF_1','#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_102322,c_98800]) ).
tff(c_102360,plain,
sum('#skF_1',n6) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_102322,c_750]) ).
tff(c_102488,plain,
sum(pred(n20),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_102360,c_98901]) ).
tff(c_102489,plain,
sum(n19,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1352,c_102488]) ).
tff(c_102670,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_548,c_98849,c_1354,c_102327,c_102489]) ).
tff(c_102671,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_462,c_102670]) ).
tff(c_102672,plain,
( ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_102320]) ).
tff(c_102674,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_102672]) ).
tff(c_102740,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_102674,c_448]) ).
tff(c_102729,plain,
sum(n12,n16) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_102674,c_814]) ).
tff(c_98856,plain,
sum('#skF_2',n11) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_1118]) ).
tff(c_98819,plain,
sum(n7,'#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_1046]) ).
tff(c_102678,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_102674,c_98819]) ).
tff(c_102694,plain,
sum('#skF_1',n6) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_102674,c_1044]) ).
tff(c_102880,plain,
sum(pred(n13),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_102694,c_98901]) ).
tff(c_102881,plain,
sum(n12,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1366,c_102880]) ).
tff(c_103022,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_102729,c_98856,c_1368,c_102678,c_102881]) ).
tff(c_103023,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102740,c_103022]) ).
tff(c_103024,plain,
( ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_102672]) ).
tff(c_103026,plain,
n13 = '#skF_1',
inference(splitLeft,[status(thm)],[c_103024]) ).
tff(c_98837,plain,
sum(n13,'#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_794]) ).
tff(c_103027,plain,
sum('#skF_1','#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_103026,c_98837]) ).
tff(c_103079,plain,
sum('#skF_1',n6) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_103026,c_792]) ).
tff(c_103320,plain,
sum(pred(n19),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_103079,c_98901]) ).
tff(c_103321,plain,
sum(n18,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1354,c_103320]) ).
tff(c_103374,plain,
n19 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_592,c_98829,c_1356,c_103027,c_103321]) ).
tff(c_103375,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_424,c_103374]) ).
tff(c_103376,plain,
( ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_103024]) ).
tff(c_103378,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_103376]) ).
tff(c_98822,plain,
sum(n8,'#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_1004]) ).
tff(c_103380,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_103378,c_98822]) ).
tff(c_103388,plain,
sum('#skF_1',n6) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_103378,c_1002]) ).
tff(c_103588,plain,
sum(pred(n14),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_103388,c_98901]) ).
tff(c_103589,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1364,c_103588]) ).
tff(c_103726,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_770,c_98810,c_1366,c_103380,c_103589]) ).
tff(c_103727,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_444,c_103726]) ).
tff(c_103728,plain,
( ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_103376]) ).
tff(c_103730,plain,
n12 = '#skF_1',
inference(splitLeft,[status(thm)],[c_103728]) ).
tff(c_98852,plain,
sum(n12,'#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_836]) ).
tff(c_103735,plain,
sum('#skF_1','#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_103730,c_98852]) ).
tff(c_103774,plain,
sum('#skF_1',n6) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_103730,c_834]) ).
tff(c_103964,plain,
sum(pred(n18),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_103774,c_98901]) ).
tff(c_103965,plain,
sum(n17,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1356,c_103964]) ).
tff(c_104078,plain,
n17 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_636,c_98833,c_1358,c_103735,c_103965]) ).
tff(c_104079,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428,c_104078]) ).
tff(c_104080,plain,
( ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_103728]) ).
tff(c_104082,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_104080]) ).
tff(c_98855,plain,
sum(n9,'#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_962]) ).
tff(c_104084,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_104082,c_98855]) ).
tff(c_104103,plain,
sum('#skF_1',n6) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_104082,c_960]) ).
tff(c_104388,plain,
sum(pred(n15),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_104103,c_98901]) ).
tff(c_104389,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1362,c_104388]) ).
tff(c_104430,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_726,c_98803,c_1364,c_104084,c_104389]) ).
tff(c_104431,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_440,c_104430]) ).
tff(c_104432,plain,
( ( n10 = '#skF_1' )
| ( n11 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_104080]) ).
tff(c_104434,plain,
n11 = '#skF_1',
inference(splitLeft,[status(thm)],[c_104432]) ).
tff(c_98858,plain,
sum(n11,'#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_878]) ).
tff(c_104438,plain,
sum('#skF_1','#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_104434,c_98858]) ).
tff(c_104445,plain,
sum('#skF_1',n6) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_104434,c_876]) ).
tff(c_104564,plain,
sum(pred(n17),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_104445,c_98901]) ).
tff(c_104565,plain,
sum(n16,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1358,c_104564]) ).
tff(c_104782,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_638,c_98808,c_1360,c_104438,c_104565]) ).
tff(c_104783,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_432,c_104782]) ).
tff(c_104784,plain,
n10 = '#skF_1',
inference(splitRight,[status(thm)],[c_104432]) ).
tff(c_98853,plain,
sum(n10,'#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_98799,c_920]) ).
tff(c_104790,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_104784,c_98853]) ).
tff(c_104817,plain,
sum('#skF_1',n6) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_104784,c_918]) ).
tff(c_104927,plain,
sum(pred(n16),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_104817,c_98901]) ).
tff(c_104928,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1360,c_104927]) ).
tff(c_105133,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_682,c_98812,c_1362,c_104790,c_104928]) ).
tff(c_105134,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_436,c_105133]) ).
tff(c_105135,plain,
( ( n6 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' )
| ( n15 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_98797]) ).
tff(c_109003,plain,
n15 = '#skF_2',
inference(splitLeft,[status(thm)],[c_105135]) ).
tff(c_109711,plain,
sum('#skF_2',n4) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_712]) ).
tff(c_109709,plain,
sum('#skF_2',n2) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_716]) ).
tff(c_109712,plain,
sum('#skF_2',n5) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_710]) ).
tff(c_109708,plain,
sum('#skF_2',n1) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_718]) ).
tff(c_109713,plain,
sum('#skF_2',n6) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_708]) ).
tff(c_109682,plain,
sum(n1,'#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_1278]) ).
tff(c_109736,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_109003,c_720]) ).
tff(c_109714,plain,
sum('#skF_2',n7) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_706]) ).
tff(c_109727,plain,
sum('#skF_2',n20) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_680]) ).
tff(c_109726,plain,
sum('#skF_2',n19) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_682]) ).
tff(c_109716,plain,
sum('#skF_2',n9) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_702]) ).
tff(c_109725,plain,
sum('#skF_2',n18) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_684]) ).
tff(c_109744,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_432]) ).
tff(c_109685,plain,
sum(n11,n4) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_880]) ).
tff(c_109717,plain,
sum('#skF_2',n10) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_700]) ).
tff(c_109724,plain,
sum('#skF_2',n17) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_686]) ).
tff(c_109043,plain,
sum('#skF_2',n11) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_698]) ).
tff(c_105137,plain,
n2 = '#skF_1',
inference(splitLeft,[status(thm)],[c_73125]) ).
tff(c_105197,plain,
sum(n13,'#skF_1') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_105137,c_800]) ).
tff(c_942,plain,
sum(n9,n15) = n3,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_988,plain,
sum(n8,n13) = n0,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_105484,plain,
n15 = '#skF_2',
inference(splitLeft,[status(thm)],[c_105135]) ).
tff(c_105531,plain,
sum('#skF_2',n16) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_105484,c_688]) ).
tff(c_105174,plain,
sum('#skF_1',n15) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_105137,c_1236]) ).
tff(c_105488,plain,
sum('#skF_1','#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_105484,c_105174]) ).
tff(c_105191,plain,
sum('#skF_1',n16) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_105137,c_1234]) ).
tff(c_105549,plain,
succ('#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_105484,c_1404]) ).
tff(c_105574,plain,
sum(pred(sum('#skF_1',n16)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_105549,c_464]) ).
tff(c_105575,plain,
sum(n17,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1356,c_105191,c_105574]) ).
tff(c_105832,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_616,c_105531,c_1358,c_105488,c_105575]) ).
tff(c_105833,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_450,c_105832]) ).
tff(c_105834,plain,
( ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_105135]) ).
tff(c_105836,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_105834]) ).
tff(c_105862,plain,
sum('#skF_2',n7) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_105836,c_1084]) ).
tff(c_105162,plain,
sum('#skF_1',n6) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_105137,c_1254]) ).
tff(c_105837,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_105836,c_105162]) ).
tff(c_105152,plain,
sum('#skF_1',n7) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_105137,c_1252]) ).
tff(c_105900,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_105836,c_1422]) ).
tff(c_105938,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_105900,c_464]) ).
tff(c_105939,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1374,c_105152,c_105938]) ).
tff(c_106184,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_988,c_105862,c_1376,c_105837,c_105939]) ).
tff(c_106185,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_462,c_106184]) ).
tff(c_106186,plain,
( ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_105834]) ).
tff(c_106188,plain,
n14 = '#skF_2',
inference(splitLeft,[status(thm)],[c_106186]) ).
tff(c_106208,plain,
sum('#skF_2',n15) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_106188,c_732]) ).
tff(c_105142,plain,
sum('#skF_1',n14) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_105137,c_1238]) ).
tff(c_106191,plain,
sum('#skF_1','#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_106188,c_105142]) ).
tff(c_106253,plain,
succ('#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_106188,c_1406]) ).
tff(c_106278,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_106253,c_464]) ).
tff(c_106279,plain,
sum(n16,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1358,c_105174,c_106278]) ).
tff(c_106536,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_662,c_106208,c_1360,c_106191,c_106279]) ).
tff(c_106537,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_456,c_106536]) ).
tff(c_106538,plain,
( ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_106186]) ).
tff(c_106540,plain,
n7 = '#skF_2',
inference(splitLeft,[status(thm)],[c_106538]) ).
tff(c_106564,plain,
sum('#skF_2',n8) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_106540,c_1040]) ).
tff(c_106542,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_106540,c_105152]) ).
tff(c_105154,plain,
sum('#skF_1',n8) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_105137,c_1250]) ).
tff(c_106605,plain,
succ('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_106540,c_1420]) ).
tff(c_106630,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_106605,c_464]) ).
tff(c_106631,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1372,c_105154,c_106630]) ).
tff(c_106888,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_942,c_106564,c_1374,c_106542,c_106631]) ).
tff(c_106889,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_456,c_106888]) ).
tff(c_106890,plain,
( ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_106538]) ).
tff(c_106892,plain,
n13 = '#skF_2',
inference(splitLeft,[status(thm)],[c_106890]) ).
tff(c_106902,plain,
sum('#skF_2',n14) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_106892,c_776]) ).
tff(c_105192,plain,
sum('#skF_1',n13) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_105137,c_1240]) ).
tff(c_106896,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_106892,c_105192]) ).
tff(c_106956,plain,
succ('#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_106892,c_1408]) ).
tff(c_106986,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_106956,c_464]) ).
tff(c_106987,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1360,c_105142,c_106986]) ).
tff(c_107240,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_708,c_106902,c_1362,c_106896,c_106987]) ).
tff(c_107241,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_462,c_107240]) ).
tff(c_107242,plain,
( ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_106890]) ).
tff(c_107244,plain,
n8 = '#skF_2',
inference(splitLeft,[status(thm)],[c_107242]) ).
tff(c_107258,plain,
sum('#skF_2',n9) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_107244,c_996]) ).
tff(c_107249,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_107244,c_105154]) ).
tff(c_105161,plain,
sum('#skF_1',n9) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_105137,c_1248]) ).
tff(c_107306,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_107244,c_1418]) ).
tff(c_107338,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_107306,c_464]) ).
tff(c_107339,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1370,c_105161,c_107338]) ).
tff(c_107592,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_896,c_107258,c_1372,c_107249,c_107339]) ).
tff(c_107593,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_450,c_107592]) ).
tff(c_107594,plain,
( ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_107242]) ).
tff(c_107596,plain,
n12 = '#skF_2',
inference(splitLeft,[status(thm)],[c_107594]) ).
tff(c_107613,plain,
sum('#skF_2',n13) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_107596,c_820]) ).
tff(c_105198,plain,
sum('#skF_1',n12) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_105137,c_1242]) ).
tff(c_107601,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_107596,c_105198]) ).
tff(c_107659,plain,
succ('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_107596,c_1410]) ).
tff(c_107694,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_107659,c_464]) ).
tff(c_107695,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1362,c_105192,c_107694]) ).
tff(c_107944,plain,
n18 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_754,c_107613,c_1364,c_107601,c_107695]) ).
tff(c_107945,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426,c_107944]) ).
tff(c_107946,plain,
( ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_107594]) ).
tff(c_107948,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_107946]) ).
tff(c_108014,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_107948,c_444]) ).
tff(c_107970,plain,
sum(n11,n19) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_107948,c_850]) ).
tff(c_107967,plain,
sum('#skF_2',n10) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_107948,c_952]) ).
tff(c_107953,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_107948,c_105161]) ).
tff(c_105157,plain,
sum('#skF_1',n10) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_105137,c_1246]) ).
tff(c_108010,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_107948,c_1416]) ).
tff(c_108038,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_108010,c_464]) ).
tff(c_108039,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1368,c_105157,c_108038]) ).
tff(c_108296,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_107970,c_107967,c_1370,c_107953,c_108039]) ).
tff(c_108297,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108014,c_108296]) ).
tff(c_108298,plain,
( ( n10 = '#skF_2' )
| ( n11 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_107946]) ).
tff(c_108300,plain,
n11 = '#skF_2',
inference(splitLeft,[status(thm)],[c_108298]) ).
tff(c_105173,plain,
sum(n11,n12) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_105137,c_864]) ).
tff(c_108306,plain,
sum('#skF_2',n12) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_108300,c_105173]) ).
tff(c_105149,plain,
sum('#skF_1',n11) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_105137,c_1244]) ).
tff(c_108302,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_108300,c_105149]) ).
tff(c_108362,plain,
succ('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_108300,c_1412]) ).
tff(c_108390,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_108362,c_464]) ).
tff(c_108391,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1364,c_105198,c_108390]) ).
tff(c_108648,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_105197,c_108306,c_1366,c_108302,c_108391]) ).
tff(c_108649,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_432,c_108648]) ).
tff(c_108650,plain,
n10 = '#skF_2',
inference(splitRight,[status(thm)],[c_108298]) ).
tff(c_108686,plain,
sum('#skF_2',n11) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_108650,c_908]) ).
tff(c_108655,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_108650,c_105157]) ).
tff(c_108713,plain,
succ('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_108650,c_1414]) ).
tff(c_108749,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_108713,c_464]) ).
tff(c_108750,plain,
sum(n12,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1366,c_105149,c_108749]) ).
tff(c_108999,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_846,c_108686,c_1368,c_108655,c_108750]) ).
tff(c_109000,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_438,c_108999]) ).
tff(c_109001,plain,
( ( n3 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' )
| ( n18 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_73125]) ).
tff(c_109004,plain,
n18 = '#skF_1',
inference(splitLeft,[status(thm)],[c_109001]) ).
tff(c_109021,plain,
sum(n18,'#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_564]) ).
tff(c_109495,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_109004,c_109021]) ).
tff(c_109102,plain,
sum('#skF_1',n16) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_109004,c_562]) ).
tff(c_109068,plain,
succ('#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_1404]) ).
tff(c_109190,plain,
sum(pred(sum('#skF_1',n16)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_109068,c_464]) ).
tff(c_109676,plain,
n17 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_836,c_109043,c_1368,c_109495,c_1366,c_109102,c_109190]) ).
tff(c_109677,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428,c_109676]) ).
tff(c_109678,plain,
( ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_109001]) ).
tff(c_110030,plain,
( ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_109678]) ).
tff(c_110031,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_110030]) ).
tff(c_109683,plain,
sum(n3,'#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_1194]) ).
tff(c_110036,plain,
sum('#skF_1','#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_110031,c_109683]) ).
tff(c_110056,plain,
sum('#skF_1',n16) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_110031,c_1192]) ).
tff(c_109743,plain,
succ('#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_1404]) ).
tff(c_109769,plain,
sum(pred(sum('#skF_1',n16)),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_109743,c_464]) ).
tff(c_110149,plain,
sum(pred(n19),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_110056,c_109769]) ).
tff(c_110150,plain,
sum(n18,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1354,c_110149]) ).
tff(c_110379,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_572,c_109724,c_1356,c_110036,c_110150]) ).
tff(c_110380,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_446,c_110379]) ).
tff(c_110381,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_110030]) ).
tff(c_110383,plain,
n17 = '#skF_1',
inference(splitLeft,[status(thm)],[c_110381]) ).
tff(c_109730,plain,
sum(n17,'#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_606]) ).
tff(c_110386,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_110383,c_109730]) ).
tff(c_110434,plain,
sum('#skF_1',n16) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_110383,c_604]) ).
tff(c_110657,plain,
sum(pred(n12),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_110434,c_109769]) ).
tff(c_110658,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1368,c_110657]) ).
tff(c_110731,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_109685,c_109717,c_1370,c_110386,c_110658]) ).
tff(c_110732,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_109744,c_110731]) ).
tff(c_110733,plain,
( ( n16 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_110381]) ).
tff(c_110735,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_110733]) ).
tff(c_109701,plain,
sum(n4,'#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_1152]) ).
tff(c_110737,plain,
sum('#skF_1','#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_110735,c_109701]) ).
tff(c_110755,plain,
sum('#skF_1',n16) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_110735,c_1150]) ).
tff(c_110977,plain,
sum(pred(n20),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_110755,c_109769]) ).
tff(c_110978,plain,
sum(n19,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1352,c_110977]) ).
tff(c_111083,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_528,c_109725,c_1354,c_110737,c_110978]) ).
tff(c_111084,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_442,c_111083]) ).
tff(c_111085,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n16 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_110733]) ).
tff(c_111087,plain,
n16 = '#skF_1',
inference(splitLeft,[status(thm)],[c_111085]) ).
tff(c_109728,plain,
sum(n16,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_648]) ).
tff(c_111089,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_111087,c_109728]) ).
tff(c_111140,plain,
sum('#skF_1','#skF_1') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_111087,c_111087,c_646]) ).
tff(c_111088,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_111087,c_109769]) ).
tff(c_111434,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_924,c_109716,c_1372,c_111089,c_1370,c_111140,c_111088]) ).
tff(c_111435,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_436,c_111434]) ).
tff(c_111436,plain,
( ( '#skF_2' = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_111085]) ).
tff(c_111438,plain,
n5 = '#skF_1',
inference(splitLeft,[status(thm)],[c_111436]) ).
tff(c_109684,plain,
sum(n5,'#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_1110]) ).
tff(c_111444,plain,
sum('#skF_1','#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_111438,c_109684]) ).
tff(c_111476,plain,
sum('#skF_1',n16) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_111438,c_1108]) ).
tff(c_111604,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_111476,c_109769]) ).
tff(c_111605,plain,
sum(n20,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1392,c_111604]) ).
tff(c_111786,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_484,c_109726,c_1352,c_111444,c_111605]) ).
tff(c_111787,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_438,c_111786]) ).
tff(c_111788,plain,
( ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_111436]) ).
tff(c_111790,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_111788]) ).
tff(c_109715,plain,
sum('#skF_2',n8) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_704]) ).
tff(c_111811,plain,
sum('#skF_1',n8) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_111790,c_109715]) ).
tff(c_109722,plain,
sum('#skF_2','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_109003,c_690]) ).
tff(c_111825,plain,
sum('#skF_1','#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_111790,c_111790,c_109722]) ).
tff(c_109723,plain,
sum('#skF_2',n16) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_688]) ).
tff(c_111826,plain,
sum('#skF_1',n16) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_111790,c_109723]) ).
tff(c_111791,plain,
sum(pred(sum('#skF_1',n16)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_111790,c_111790,c_109769]) ).
tff(c_112142,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_968,c_111811,c_1374,c_111825,c_1372,c_111826,c_111791]) ).
tff(c_112143,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_440,c_112142]) ).
tff(c_112144,plain,
( ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_111788]) ).
tff(c_112146,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_112144]) ).
tff(c_1068,plain,
sum(n6,n15) = n0,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_109702,plain,
sum(n6,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_1068]) ).
tff(c_112152,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_112146,c_109702]) ).
tff(c_112183,plain,
sum('#skF_1',n16) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_112146,c_1066]) ).
tff(c_112316,plain,
sum(pred(n1),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_112183,c_109769]) ).
tff(c_112317,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1390,c_112316]) ).
tff(c_112494,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1322,c_109727,c_1392,c_112152,c_112317]) ).
tff(c_112495,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_434,c_112494]) ).
tff(c_112496,plain,
( ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_112144]) ).
tff(c_112498,plain,
n14 = '#skF_1',
inference(splitLeft,[status(thm)],[c_112496]) ).
tff(c_109686,plain,
sum(n14,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_732]) ).
tff(c_112504,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_112498,c_109686]) ).
tff(c_112528,plain,
sum('#skF_1',n16) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_112498,c_730]) ).
tff(c_112668,plain,
sum(pred(n9),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_112528,c_109769]) ).
tff(c_112669,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1374,c_112668]) ).
tff(c_112846,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1012,c_109714,c_1376,c_112504,c_112669]) ).
tff(c_112847,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_444,c_112846]) ).
tff(c_112848,plain,
( ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_112496]) ).
tff(c_112850,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_112848]) ).
tff(c_109695,plain,
sum(n7,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_1026]) ).
tff(c_112851,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_112850,c_109695]) ).
tff(c_112880,plain,
sum('#skF_1',n16) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_112850,c_1024]) ).
tff(c_113024,plain,
sum(pred(n2),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_112880,c_109769]) ).
tff(c_113025,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1388,c_113024]) ).
tff(c_113198,plain,
n16 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_109682,c_109736,c_1390,c_112851,c_113025]) ).
tff(c_113199,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430,c_113198]) ).
tff(c_113200,plain,
( ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_112848]) ).
tff(c_113202,plain,
n13 = '#skF_1',
inference(splitLeft,[status(thm)],[c_113200]) ).
tff(c_109706,plain,
sum(n13,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_774]) ).
tff(c_113207,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_113202,c_109706]) ).
tff(c_113222,plain,
sum('#skF_1',n16) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_113202,c_772]) ).
tff(c_113408,plain,
sum(pred(n8),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_113222,c_109769]) ).
tff(c_113409,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1376,c_113408]) ).
tff(c_113550,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1056,c_109713,c_1378,c_113207,c_113409]) ).
tff(c_113551,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_448,c_113550]) ).
tff(c_113552,plain,
( ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_113200]) ).
tff(c_113554,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_113552]) ).
tff(c_109699,plain,
sum(n8,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_984]) ).
tff(c_113557,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_113554,c_109699]) ).
tff(c_113596,plain,
sum('#skF_1',n16) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_113554,c_982]) ).
tff(c_113796,plain,
sum(pred(n3),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_113596,c_109769]) ).
tff(c_113797,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1386,c_113796]) ).
tff(c_113902,plain,
n18 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1234,c_109708,c_1388,c_113557,c_113797]) ).
tff(c_113903,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426,c_113902]) ).
tff(c_113904,plain,
( ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_113552]) ).
tff(c_113906,plain,
n12 = '#skF_1',
inference(splitLeft,[status(thm)],[c_113904]) ).
tff(c_109697,plain,
sum(n12,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_816]) ).
tff(c_113909,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_113906,c_109697]) ).
tff(c_113955,plain,
sum('#skF_1',n16) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_113906,c_814]) ).
tff(c_114188,plain,
sum(pred(n7),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_113955,c_109769]) ).
tff(c_114189,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1378,c_114188]) ).
tff(c_114254,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1058,c_109712,c_1380,c_113909,c_114189]) ).
tff(c_114255,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_452,c_114254]) ).
tff(c_114256,plain,
( ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_113904]) ).
tff(c_114258,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_114256]) ).
tff(c_109733,plain,
sum(n9,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_942]) ).
tff(c_114263,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_114258,c_109733]) ).
tff(c_114281,plain,
sum('#skF_1',n16) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_114258,c_940]) ).
tff(c_114528,plain,
sum(pred(n4),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_114281,c_109769]) ).
tff(c_114529,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1384,c_114528]) ).
tff(c_114606,plain,
n20 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1190,c_109709,c_1386,c_114263,c_114529]) ).
tff(c_114607,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422,c_114606]) ).
tff(c_114608,plain,
( ( n10 = '#skF_1' )
| ( n11 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_114256]) ).
tff(c_114610,plain,
n11 = '#skF_1',
inference(splitLeft,[status(thm)],[c_114608]) ).
tff(c_109680,plain,
sum(n11,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_858]) ).
tff(c_114614,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_114610,c_109680]) ).
tff(c_114626,plain,
sum('#skF_1',n16) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_114610,c_856]) ).
tff(c_114860,plain,
sum(pred(n6),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_114626,c_109769]) ).
tff(c_114861,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1380,c_114860]) ).
tff(c_114958,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1102,c_109711,c_1382,c_114614,c_114861]) ).
tff(c_114959,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_456,c_114958]) ).
tff(c_114960,plain,
n10 = '#skF_1',
inference(splitRight,[status(thm)],[c_114608]) ).
tff(c_114973,plain,
sum('#skF_1',n16) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_114960,c_898]) ).
tff(c_109710,plain,
sum('#skF_2',n3) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_714]) ).
tff(c_900,plain,
sum(n10,n15) = n4,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_109703,plain,
sum(n10,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_109003,c_900]) ).
tff(c_114966,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_114960,c_109703]) ).
tff(c_115139,plain,
sum(pred(sum('#skF_1',n16)),sum('#skF_2',pred(n4))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_114966,c_109769]) ).
tff(c_115140,plain,
sum(pred(sum('#skF_1',n16)),n18) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_109710,c_1384,c_115139]) ).
tff(c_115309,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1146,c_1382,c_114973,c_115140]) ).
tff(c_115310,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_460,c_115309]) ).
tff(c_115311,plain,
( ( n14 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' )
| ( n6 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_105135]) ).
tff(c_118827,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_115311]) ).
tff(c_118860,plain,
sum('#skF_2',n15) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_1068]) ).
tff(c_118861,plain,
sum('#skF_2',n16) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_1066]) ).
tff(c_1070,plain,
sum(n6,n14) = n20,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_118859,plain,
sum('#skF_2',n14) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_1070]) ).
tff(c_118862,plain,
sum('#skF_2',n17) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_1064]) ).
tff(c_118858,plain,
sum('#skF_2',n13) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_1072]) ).
tff(c_118863,plain,
sum('#skF_2',n18) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_1062]) ).
tff(c_118857,plain,
sum('#skF_2',n12) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_1074]) ).
tff(c_118864,plain,
sum('#skF_2',n19) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_1060]) ).
tff(c_118865,plain,
sum('#skF_2',n20) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_1058]) ).
tff(c_118892,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_450]) ).
tff(c_118837,plain,
sum(n11,n16) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_856]) ).
tff(c_118870,plain,
sum('#skF_2',n10) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_1078]) ).
tff(c_118885,plain,
sum(n1,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_1296]) ).
tff(c_118851,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_118827,c_1098]) ).
tff(c_118867,plain,
sum('#skF_2',n1) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_1096]) ).
tff(c_944,plain,
sum(n9,n14) = n2,
inference(cnfTransformation,[status(thm)],[f_1771]) ).
tff(c_118879,plain,
sum('#skF_2',n8) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_1082]) ).
tff(c_115313,plain,
n18 = '#skF_1',
inference(splitLeft,[status(thm)],[c_109001]) ).
tff(c_115347,plain,
sum(n8,'#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_115313,c_978]) ).
tff(c_115660,plain,
n6 = '#skF_2',
inference(splitLeft,[status(thm)],[c_115311]) ).
tff(c_115680,plain,
sum('#skF_2',n2) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_115660,c_1094]) ).
tff(c_115362,plain,
sum('#skF_1',n6) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_115313,c_582]) ).
tff(c_115664,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_115660,c_115362]) ).
tff(c_115363,plain,
sum('#skF_1',n7) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_115313,c_580]) ).
tff(c_115724,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_115660,c_1422]) ).
tff(c_115758,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_115724,c_464]) ).
tff(c_115759,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1384,c_115363,c_115758]) ).
tff(c_116008,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1208,c_115680,c_1386,c_115664,c_115759]) ).
tff(c_116009,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_440,c_116008]) ).
tff(c_116010,plain,
( ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_115311]) ).
tff(c_116012,plain,
n14 = '#skF_2',
inference(splitLeft,[status(thm)],[c_116010]) ).
tff(c_116078,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_116012,c_434]) ).
tff(c_116068,plain,
sum(n11,n3) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_116012,c_882]) ).
tff(c_116045,plain,
sum('#skF_2',n10) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_116012,c_742]) ).
tff(c_115334,plain,
sum('#skF_1',n14) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_115313,c_566]) ).
tff(c_116015,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_116012,c_115334]) ).
tff(c_115335,plain,
sum('#skF_1',n15) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_115313,c_564]) ).
tff(c_116077,plain,
succ('#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_116012,c_1406]) ).
tff(c_116102,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_116077,c_464]) ).
tff(c_116103,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1368,c_115335,c_116102]) ).
tff(c_116360,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_116068,c_116045,c_1370,c_116015,c_116103]) ).
tff(c_116361,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116078,c_116360]) ).
tff(c_116362,plain,
( ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_116010]) ).
tff(c_116364,plain,
n7 = '#skF_2',
inference(splitLeft,[status(thm)],[c_116362]) ).
tff(c_116407,plain,
sum('#skF_2',n3) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_116364,c_1050]) ).
tff(c_116366,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_116364,c_115363]) ).
tff(c_115364,plain,
sum('#skF_1',n8) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_115313,c_578]) ).
tff(c_116429,plain,
succ('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_116364,c_1420]) ).
tff(c_116454,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_116429,c_464]) ).
tff(c_116455,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1382,c_115364,c_116454]) ).
tff(c_116712,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1162,c_116407,c_1384,c_116366,c_116455]) ).
tff(c_116713,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_434,c_116712]) ).
tff(c_116714,plain,
( ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_116362]) ).
tff(c_116716,plain,
n13 = '#skF_2',
inference(splitLeft,[status(thm)],[c_116714]) ).
tff(c_116731,plain,
sum('#skF_2',n9) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_116716,c_786]) ).
tff(c_115333,plain,
sum('#skF_1',n13) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_115313,c_568]) ).
tff(c_116720,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_116716,c_115333]) ).
tff(c_116780,plain,
succ('#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_116716,c_1408]) ).
tff(c_116818,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_116780,c_464]) ).
tff(c_116819,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1370,c_115334,c_116818]) ).
tff(c_117064,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_928,c_116731,c_1372,c_116720,c_116819]) ).
tff(c_117065,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_440,c_117064]) ).
tff(c_117066,plain,
( ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_116714]) ).
tff(c_117068,plain,
n8 = '#skF_2',
inference(splitLeft,[status(thm)],[c_117066]) ).
tff(c_117105,plain,
sum('#skF_2',n4) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_117068,c_1006]) ).
tff(c_117071,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_117068,c_115364]) ).
tff(c_115365,plain,
sum('#skF_1',n9) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_115313,c_576]) ).
tff(c_117130,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_117068,c_1418]) ).
tff(c_117170,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_117130,c_464]) ).
tff(c_117171,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1380,c_115365,c_117170]) ).
tff(c_117416,plain,
n17 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1116,c_117105,c_1382,c_117071,c_117171]) ).
tff(c_117417,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428,c_117416]) ).
tff(c_117418,plain,
( ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_117066]) ).
tff(c_117420,plain,
n12 = '#skF_2',
inference(splitLeft,[status(thm)],[c_117418]) ).
tff(c_117455,plain,
sum('#skF_2',n8) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_117420,c_830]) ).
tff(c_115332,plain,
sum('#skF_1',n12) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_115313,c_570]) ).
tff(c_117426,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_117420,c_115332]) ).
tff(c_117483,plain,
succ('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_117420,c_1410]) ).
tff(c_117522,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_117483,c_464]) ).
tff(c_117523,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1372,c_115333,c_117522]) ).
tff(c_117768,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_932,c_117455,c_1374,c_117426,c_117523]) ).
tff(c_117769,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_446,c_117768]) ).
tff(c_117770,plain,
( ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_117418]) ).
tff(c_117772,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_117770]) ).
tff(c_117829,plain,
sum('#skF_2',n5) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_117772,c_962]) ).
tff(c_117775,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_117772,c_115365]) ).
tff(c_115366,plain,
sum('#skF_1',n10) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_115313,c_574]) ).
tff(c_117834,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_117772,c_1416]) ).
tff(c_117862,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_117834,c_464]) ).
tff(c_117863,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1378,c_115366,c_117862]) ).
tff(c_118120,plain,
n20 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1070,c_117829,c_1380,c_117775,c_117863]) ).
tff(c_118121,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422,c_118120]) ).
tff(c_118122,plain,
( ( n10 = '#skF_2' )
| ( n11 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_117770]) ).
tff(c_118124,plain,
n11 = '#skF_2',
inference(splitLeft,[status(thm)],[c_118122]) ).
tff(c_115339,plain,
sum(n11,n7) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_115313,c_874]) ).
tff(c_118126,plain,
sum('#skF_2',n7) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_118124,c_115339]) ).
tff(c_115367,plain,
sum('#skF_1',n11) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_115313,c_572]) ).
tff(c_118128,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_118124,c_115367]) ).
tff(c_118186,plain,
succ('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_118124,c_1412]) ).
tff(c_118214,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_118186,c_464]) ).
tff(c_118215,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1374,c_115332,c_118214]) ).
tff(c_118472,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_115347,c_118126,c_1376,c_118128,c_118215]) ).
tff(c_118473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_452,c_118472]) ).
tff(c_118474,plain,
n10 = '#skF_2',
inference(splitRight,[status(thm)],[c_118122]) ).
tff(c_118508,plain,
sum('#skF_2',n6) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_118474,c_918]) ).
tff(c_118479,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_118474,c_115366]) ).
tff(c_118537,plain,
succ('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_118474,c_1414]) ).
tff(c_118577,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_118537,c_464]) ).
tff(c_118578,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1376,c_115367,c_118577]) ).
tff(c_118823,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1024,c_118508,c_1378,c_118479,c_118578]) ).
tff(c_118824,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_458,c_118823]) ).
tff(c_118825,plain,
( ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_109001]) ).
tff(c_119178,plain,
( ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_118825]) ).
tff(c_119179,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_119178]) ).
tff(c_118883,plain,
sum(n3,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_1212]) ).
tff(c_119182,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_119179,c_118883]) ).
tff(c_119195,plain,
sum('#skF_1',n7) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_119179,c_1210]) ).
tff(c_118890,plain,
succ('#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_1422]) ).
tff(c_118921,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_118890,c_464]) ).
tff(c_119425,plain,
sum(pred(n10),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_119195,c_118921]) ).
tff(c_119426,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1372,c_119425]) ).
tff(c_119527,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_944,c_118879,c_1374,c_119182,c_119426]) ).
tff(c_119528,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_458,c_119527]) ).
tff(c_119529,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_119178]) ).
tff(c_119531,plain,
n17 = '#skF_1',
inference(splitLeft,[status(thm)],[c_119529]) ).
tff(c_118876,plain,
sum(n17,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_624]) ).
tff(c_119533,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_119531,c_118876]) ).
tff(c_119572,plain,
sum('#skF_1',n7) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_119531,c_622]) ).
tff(c_119733,plain,
sum(pred(n3),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_119572,c_118921]) ).
tff(c_119734,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1386,c_119733]) ).
tff(c_119879,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1252,c_118867,c_1388,c_119533,c_119734]) ).
tff(c_119880,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_444,c_119879]) ).
tff(c_119881,plain,
( ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_119529]) ).
tff(c_119883,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_119881]) ).
tff(c_119949,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_119883,c_454]) ).
tff(c_119920,plain,
sum(n10,n15) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_119883,c_900]) ).
tff(c_118833,plain,
sum('#skF_2',n9) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_1080]) ).
tff(c_118869,plain,
sum(n4,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_1170]) ).
tff(c_119886,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_119883,c_118869]) ).
tff(c_119911,plain,
sum('#skF_1',n7) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_119883,c_1168]) ).
tff(c_120193,plain,
sum(pred(n11),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_119911,c_118921]) ).
tff(c_120194,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1370,c_120193]) ).
tff(c_120231,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_119920,c_118833,c_1372,c_119886,c_120194]) ).
tff(c_120232,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119949,c_120231]) ).
tff(c_120233,plain,
( ( n5 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_119881]) ).
tff(c_120235,plain,
n16 = '#skF_1',
inference(splitLeft,[status(thm)],[c_120233]) ).
tff(c_118874,plain,
sum(n16,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_666]) ).
tff(c_120239,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_120235,c_118874]) ).
tff(c_120275,plain,
sum('#skF_1',n7) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_120235,c_664]) ).
tff(c_120445,plain,
sum(pred(n2),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_120275,c_118921]) ).
tff(c_120446,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1388,c_120445]) ).
tff(c_120583,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_118885,c_118851,c_1390,c_120239,c_120446]) ).
tff(c_120584,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_448,c_120583]) ).
tff(c_120585,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' )
| ( '#skF_2' = '#skF_1' )
| ( n5 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_120233]) ).
tff(c_120587,plain,
n5 = '#skF_1',
inference(splitLeft,[status(thm)],[c_120585]) ).
tff(c_118842,plain,
sum(n5,'#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_1128]) ).
tff(c_120592,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_120587,c_118842]) ).
tff(c_120620,plain,
sum('#skF_1',n7) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_120587,c_1126]) ).
tff(c_120753,plain,
sum(pred(n12),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_120620,c_118921]) ).
tff(c_120754,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1368,c_120753]) ).
tff(c_120935,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_118837,c_118870,c_1370,c_120592,c_120754]) ).
tff(c_120936,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118892,c_120935]) ).
tff(c_120937,plain,
( ( '#skF_2' = '#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_120585]) ).
tff(c_120939,plain,
n15 = '#skF_1',
inference(splitLeft,[status(thm)],[c_120937]) ).
tff(c_118871,plain,
sum(n15,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_708]) ).
tff(c_120942,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_120939,c_118871]) ).
tff(c_120976,plain,
sum('#skF_1',n7) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_120939,c_706]) ).
tff(c_121125,plain,
sum(pred(n1),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_120976,c_118921]) ).
tff(c_121126,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1390,c_121125]) ).
tff(c_121287,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1340,c_118865,c_1392,c_120942,c_121126]) ).
tff(c_121288,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_452,c_121287]) ).
tff(c_121289,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' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_120937]) ).
tff(c_121291,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_121289]) ).
tff(c_118847,plain,
sum('#skF_2',n7) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_1084]) ).
tff(c_121319,plain,
sum('#skF_1',n7) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_121291,c_118847]) ).
tff(c_118856,plain,
sum('#skF_2',n11) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_1076]) ).
tff(c_121312,plain,
sum('#skF_1',n11) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_121291,c_118856]) ).
tff(c_118845,plain,
sum('#skF_2','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_118827,c_1086]) ).
tff(c_121316,plain,
sum('#skF_1','#skF_1') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_121291,c_121291,c_118845]) ).
tff(c_121292,plain,
sum(pred(sum('#skF_1',n7)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_121291,c_121291,c_118921]) ).
tff(c_121643,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_812,c_1366,c_121319,c_121312,c_1368,c_121316,c_121292]) ).
tff(c_121644,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_446,c_121643]) ).
tff(c_121645,plain,
( ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_121289]) ).
tff(c_121647,plain,
n14 = '#skF_1',
inference(splitLeft,[status(thm)],[c_121645]) ).
tff(c_118868,plain,
sum(n14,'#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_750]) ).
tff(c_121650,plain,
sum('#skF_1','#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_121647,c_118868]) ).
tff(c_121659,plain,
sum('#skF_1',n7) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_121647,c_748]) ).
tff(c_121777,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_121659,c_118921]) ).
tff(c_121778,plain,
sum(n20,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1392,c_121777]) ).
tff(c_121995,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_502,c_118864,c_1352,c_121650,c_121778]) ).
tff(c_121996,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_456,c_121995]) ).
tff(c_121997,plain,
( ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_121645]) ).
tff(c_121999,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_121997]) ).
tff(c_118848,plain,
sum(n7,'#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_1044]) ).
tff(c_122005,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_121999,c_118848]) ).
tff(c_122022,plain,
sum('#skF_1','#skF_1') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_121999,c_121999,c_1042]) ).
tff(c_122000,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_121999,c_118921]) ).
tff(c_122346,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_768,c_118857,c_1366,c_122005,c_1364,c_122022,c_122000]) ).
tff(c_122347,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_442,c_122346]) ).
tff(c_122348,plain,
( ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_121997]) ).
tff(c_122350,plain,
n13 = '#skF_1',
inference(splitLeft,[status(thm)],[c_122348]) ).
tff(c_118886,plain,
sum(n13,'#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_792]) ).
tff(c_122355,plain,
sum('#skF_1','#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_122350,c_118886]) ).
tff(c_122388,plain,
sum('#skF_1',n7) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_122350,c_790]) ).
tff(c_122512,plain,
sum(pred(n20),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_122388,c_118921]) ).
tff(c_122513,plain,
sum(n19,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1352,c_122512]) ).
tff(c_122698,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_546,c_118863,c_1354,c_122355,c_122513]) ).
tff(c_122699,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_460,c_122698]) ).
tff(c_122700,plain,
( ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_122348]) ).
tff(c_122702,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_122700]) ).
tff(c_118832,plain,
sum(n8,'#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_1002]) ).
tff(c_122707,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_122702,c_118832]) ).
tff(c_122725,plain,
sum('#skF_1',n7) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_122702,c_1000]) ).
tff(c_122960,plain,
sum(pred(n15),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_122725,c_118921]) ).
tff(c_122961,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1362,c_122960]) ).
tff(c_123050,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_724,c_118858,c_1364,c_122707,c_122961]) ).
tff(c_123051,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_438,c_123050]) ).
tff(c_123052,plain,
( ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_122700]) ).
tff(c_123054,plain,
n12 = '#skF_1',
inference(splitLeft,[status(thm)],[c_123052]) ).
tff(c_118873,plain,
sum(n12,'#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_834]) ).
tff(c_123058,plain,
sum('#skF_1','#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_123054,c_118873]) ).
tff(c_123087,plain,
sum('#skF_1',n7) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_123054,c_832]) ).
tff(c_123192,plain,
sum(pred(n19),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_123087,c_118921]) ).
tff(c_123193,plain,
sum(n18,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1354,c_123192]) ).
tff(c_123402,plain,
n20 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_590,c_118862,c_1356,c_123058,c_123193]) ).
tff(c_123403,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422,c_123402]) ).
tff(c_123404,plain,
( ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_123052]) ).
tff(c_123406,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_123404]) ).
tff(c_118839,plain,
sum(n9,'#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_960]) ).
tff(c_123410,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_123406,c_118839]) ).
tff(c_123425,plain,
sum('#skF_1',n7) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_123406,c_958]) ).
tff(c_123716,plain,
sum(pred(n16),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_123425,c_118921]) ).
tff(c_123717,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1360,c_123716]) ).
tff(c_123754,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_680,c_118859,c_1362,c_123410,c_123717]) ).
tff(c_123755,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_434,c_123754]) ).
tff(c_123756,plain,
( ( n10 = '#skF_1' )
| ( n11 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_123404]) ).
tff(c_123758,plain,
n11 = '#skF_1',
inference(splitLeft,[status(thm)],[c_123756]) ).
tff(c_118835,plain,
sum(n11,'#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_876]) ).
tff(c_123759,plain,
sum('#skF_1','#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_123758,c_118835]) ).
tff(c_123789,plain,
sum('#skF_1',n7) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_123758,c_874]) ).
tff(c_123868,plain,
sum(pred(n18),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_123789,c_118921]) ).
tff(c_123869,plain,
sum(n17,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1356,c_123868]) ).
tff(c_124106,plain,
n18 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_634,c_118861,c_1358,c_123759,c_123869]) ).
tff(c_124107,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426,c_124106]) ).
tff(c_124108,plain,
n10 = '#skF_1',
inference(splitRight,[status(thm)],[c_123756]) ).
tff(c_118855,plain,
sum(n10,'#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_118827,c_918]) ).
tff(c_124111,plain,
sum('#skF_1','#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_124108,c_118855]) ).
tff(c_124156,plain,
sum('#skF_1',n7) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_124108,c_916]) ).
tff(c_124291,plain,
sum(pred(n17),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_124156,c_118921]) ).
tff(c_124292,plain,
sum(n16,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1358,c_124291]) ).
tff(c_124457,plain,
n16 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_678,c_118860,c_1360,c_124111,c_124292]) ).
tff(c_124458,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430,c_124457]) ).
tff(c_124459,plain,
( ( n7 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' )
| ( n14 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_115311]) ).
tff(c_124461,plain,
n14 = '#skF_2',
inference(splitLeft,[status(thm)],[c_124459]) ).
tff(c_125148,plain,
sum('#skF_2',n2) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_758]) ).
tff(c_125167,plain,
sum('#skF_2',n3) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_756]) ).
tff(c_125155,plain,
sum('#skF_2',n1) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_760]) ).
tff(c_125146,plain,
sum('#skF_2',n4) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_754]) ).
tff(c_125191,plain,
sum(n1,'#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_1280]) ).
tff(c_125162,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_124461,c_762]) ).
tff(c_125134,plain,
sum('#skF_2',n5) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_752]) ).
tff(c_125184,plain,
sum('#skF_2',n20) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_722]) ).
tff(c_125171,plain,
sum('#skF_2',n19) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_724]) ).
tff(c_125140,plain,
sum('#skF_2',n7) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_748]) ).
tff(c_125185,plain,
sum('#skF_2',n18) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_726]) ).
tff(c_125190,plain,
sum('#skF_2',n8) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_746]) ).
tff(c_125135,plain,
sum('#skF_2',n17) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_728]) ).
tff(c_125154,plain,
sum('#skF_2',n9) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_744]) ).
tff(c_124485,plain,
sum('#skF_2',n16) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_730]) ).
tff(c_124462,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_118825]) ).
tff(c_124478,plain,
sum(n3,'#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_1196]) ).
tff(c_125089,plain,
sum('#skF_1','#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_124462,c_124478]) ).
tff(c_124556,plain,
sum('#skF_1',n15) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_124462,c_1194]) ).
tff(c_124526,plain,
succ('#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_1406]) ).
tff(c_124663,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_124526,c_464]) ).
tff(c_125130,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_618,c_124485,c_1358,c_125089,c_1356,c_124556,c_124663]) ).
tff(c_125131,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_452,c_125130]) ).
tff(c_125132,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_118825]) ).
tff(c_125484,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_125132]) ).
tff(c_125485,plain,
n17 = '#skF_1',
inference(splitLeft,[status(thm)],[c_125484]) ).
tff(c_125177,plain,
sum(n17,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_608]) ).
tff(c_125489,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_125485,c_125177]) ).
tff(c_125534,plain,
sum('#skF_1',n15) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_125485,c_606]) ).
tff(c_125197,plain,
succ('#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_1406]) ).
tff(c_125223,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_125197,c_464]) ).
tff(c_125675,plain,
sum(pred(n11),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_125534,c_125223]) ).
tff(c_125676,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1370,c_125675]) ).
tff(c_125833,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_926,c_125154,c_1372,c_125489,c_125676]) ).
tff(c_125834,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_438,c_125833]) ).
tff(c_125835,plain,
( ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_125484]) ).
tff(c_125837,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_125835]) ).
tff(c_125160,plain,
sum(n4,'#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_1154]) ).
tff(c_125842,plain,
sum('#skF_1','#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_125837,c_125160]) ).
tff(c_125868,plain,
sum('#skF_1',n15) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_125837,c_1152]) ).
tff(c_126123,plain,
sum(pred(n19),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_125868,c_125223]) ).
tff(c_126124,plain,
sum(n18,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1354,c_126123]) ).
tff(c_126185,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_574,c_125135,c_1356,c_125842,c_126124]) ).
tff(c_126186,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_448,c_126185]) ).
tff(c_126187,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_125835]) ).
tff(c_126189,plain,
n16 = '#skF_1',
inference(splitLeft,[status(thm)],[c_126187]) ).
tff(c_125174,plain,
sum(n16,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_650]) ).
tff(c_126193,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_126189,c_125174]) ).
tff(c_126238,plain,
sum('#skF_1',n15) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_126189,c_648]) ).
tff(c_126411,plain,
sum(pred(n10),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_126238,c_125223]) ).
tff(c_126412,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1372,c_126411]) ).
tff(c_126537,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_970,c_125190,c_1374,c_126193,c_126412]) ).
tff(c_126538,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_442,c_126537]) ).
tff(c_126539,plain,
( ( n15 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_126187]) ).
tff(c_126541,plain,
n5 = '#skF_1',
inference(splitLeft,[status(thm)],[c_126539]) ).
tff(c_125152,plain,
sum(n5,'#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_1112]) ).
tff(c_126542,plain,
sum('#skF_1','#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_126541,c_125152]) ).
tff(c_126555,plain,
sum('#skF_1',n15) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_126541,c_1110]) ).
tff(c_126791,plain,
sum(pred(n20),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_126555,c_125223]) ).
tff(c_126792,plain,
sum(n19,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1352,c_126791]) ).
tff(c_126889,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_530,c_125185,c_1354,c_126542,c_126792]) ).
tff(c_126890,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_444,c_126889]) ).
tff(c_126891,plain,
( ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n15 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_126539]) ).
tff(c_126893,plain,
n15 = '#skF_1',
inference(splitLeft,[status(thm)],[c_126891]) ).
tff(c_125172,plain,
sum(n15,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_692]) ).
tff(c_126896,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_126893,c_125172]) ).
tff(c_126942,plain,
sum('#skF_1','#skF_1') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_126893,c_126893,c_690]) ).
tff(c_126894,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_126893,c_125223]) ).
tff(c_127240,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1014,c_125140,c_1376,c_126896,c_1374,c_126942,c_126894]) ).
tff(c_127241,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_446,c_127240]) ).
tff(c_127242,plain,
( ( '#skF_2' = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_126891]) ).
tff(c_127244,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_127242]) ).
tff(c_125165,plain,
sum(n6,'#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_1070]) ).
tff(c_127246,plain,
sum('#skF_1','#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_127244,c_125165]) ).
tff(c_127280,plain,
sum('#skF_1',n15) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_127244,c_1068]) ).
tff(c_127414,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_127280,c_125223]) ).
tff(c_127415,plain,
sum(n20,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1392,c_127414]) ).
tff(c_127592,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_486,c_125171,c_1352,c_127246,c_127415]) ).
tff(c_127593,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_440,c_127592]) ).
tff(c_127594,plain,
( ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_127242]) ).
tff(c_127596,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_127594]) ).
tff(c_125168,plain,
sum('#skF_2',n6) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_750]) ).
tff(c_127620,plain,
sum('#skF_1',n6) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_127596,c_125168]) ).
tff(c_125158,plain,
sum('#skF_2','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_124461,c_734]) ).
tff(c_127623,plain,
sum('#skF_1','#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_127596,c_127596,c_125158]) ).
tff(c_125147,plain,
sum('#skF_2',n15) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_732]) ).
tff(c_127598,plain,
sum('#skF_1',n15) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_127596,c_125147]) ).
tff(c_127597,plain,
sum(pred(sum('#skF_1',n15)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_127596,c_127596,c_125223]) ).
tff(c_127948,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1016,c_127620,c_1378,c_127623,c_1376,c_127598,c_127597]) ).
tff(c_127949,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_450,c_127948]) ).
tff(c_127950,plain,
( ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_127594]) ).
tff(c_127952,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_127950]) ).
tff(c_125159,plain,
sum(n7,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_1028]) ).
tff(c_127953,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_127952,c_125159]) ).
tff(c_127978,plain,
sum('#skF_1',n15) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_127952,c_1026]) ).
tff(c_128082,plain,
sum(pred(n1),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_127978,c_125223]) ).
tff(c_128083,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1390,c_128082]) ).
tff(c_128300,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1324,c_125184,c_1392,c_127953,c_128083]) ).
tff(c_128301,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_436,c_128300]) ).
tff(c_128302,plain,
( ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_127950]) ).
tff(c_128304,plain,
n13 = '#skF_1',
inference(splitLeft,[status(thm)],[c_128302]) ).
tff(c_125137,plain,
sum(n13,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_776]) ).
tff(c_128310,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_128304,c_125137]) ).
tff(c_128348,plain,
sum('#skF_1',n15) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_128304,c_774]) ).
tff(c_128530,plain,
sum(pred(n7),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_128348,c_125223]) ).
tff(c_128531,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1378,c_128530]) ).
tff(c_128652,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1060,c_125134,c_1380,c_128310,c_128531]) ).
tff(c_128653,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_454,c_128652]) ).
tff(c_128654,plain,
( ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_128302]) ).
tff(c_128656,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_128654]) ).
tff(c_125186,plain,
sum(n8,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_986]) ).
tff(c_128661,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_128656,c_125186]) ).
tff(c_128694,plain,
sum('#skF_1',n15) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_128656,c_984]) ).
tff(c_128822,plain,
sum(pred(n2),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_128694,c_125223]) ).
tff(c_128823,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1388,c_128822]) ).
tff(c_129004,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_125191,c_125162,c_1390,c_128661,c_128823]) ).
tff(c_129005,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_432,c_129004]) ).
tff(c_129006,plain,
( ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_128654]) ).
tff(c_129008,plain,
n12 = '#skF_1',
inference(splitLeft,[status(thm)],[c_129006]) ).
tff(c_125176,plain,
sum(n12,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_818]) ).
tff(c_129012,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_129008,c_125176]) ).
tff(c_129039,plain,
sum('#skF_1',n15) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_129008,c_816]) ).
tff(c_129282,plain,
sum(pred(n6),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_129039,c_125223]) ).
tff(c_129283,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1380,c_129282]) ).
tff(c_129356,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1104,c_125146,c_1382,c_129012,c_129283]) ).
tff(c_129357,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_458,c_129356]) ).
tff(c_129358,plain,
( ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_129006]) ).
tff(c_129360,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_129358]) ).
tff(c_125181,plain,
sum(n9,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_944]) ).
tff(c_129361,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_129360,c_125181]) ).
tff(c_129411,plain,
sum('#skF_1',n15) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_129360,c_942]) ).
tff(c_129642,plain,
sum(pred(n3),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_129411,c_125223]) ).
tff(c_129643,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1386,c_129642]) ).
tff(c_129708,plain,
n17 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1236,c_125155,c_1388,c_129361,c_129643]) ).
tff(c_129709,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428,c_129708]) ).
tff(c_129710,plain,
( ( n10 = '#skF_1' )
| ( n11 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_129358]) ).
tff(c_129712,plain,
n11 = '#skF_1',
inference(splitLeft,[status(thm)],[c_129710]) ).
tff(c_125182,plain,
sum(n11,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_860]) ).
tff(c_129714,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_129712,c_125182]) ).
tff(c_129720,plain,
sum('#skF_1',n15) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_129712,c_858]) ).
tff(c_129950,plain,
sum(pred(n5),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_129720,c_125223]) ).
tff(c_129951,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1382,c_129950]) ).
tff(c_130060,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1148,c_125167,c_1384,c_129714,c_129951]) ).
tff(c_130061,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_462,c_130060]) ).
tff(c_130062,plain,
n10 = '#skF_1',
inference(splitRight,[status(thm)],[c_129710]) ).
tff(c_125144,plain,
sum(n10,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_902]) ).
tff(c_130066,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_130062,c_125144]) ).
tff(c_130097,plain,
sum('#skF_1',n15) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_130062,c_900]) ).
tff(c_130309,plain,
sum(pred(n4),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_130097,c_125223]) ).
tff(c_130310,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1384,c_130309]) ).
tff(c_130411,plain,
n19 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1192,c_125148,c_1386,c_130066,c_130310]) ).
tff(c_130412,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_424,c_130411]) ).
tff(c_130413,plain,
( ( n13 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' )
| ( n7 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_124459]) ).
tff(c_130415,plain,
n7 = '#skF_2',
inference(splitLeft,[status(thm)],[c_130413]) ).
tff(c_130442,plain,
sum('#skF_2',n17) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_1022]) ).
tff(c_130440,plain,
sum('#skF_2',n15) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_1026]) ).
tff(c_130443,plain,
sum('#skF_2',n18) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_1020]) ).
tff(c_130439,plain,
sum('#skF_2',n14) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_1028]) ).
tff(c_130445,plain,
sum('#skF_2',n19) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_1018]) ).
tff(c_130446,plain,
sum('#skF_2',n20) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_1016]) ).
tff(c_130437,plain,
sum('#skF_2',n12) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_1032]) ).
tff(c_130420,plain,
sum(n1,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_1294]) ).
tff(c_130451,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_130415,c_1056]) ).
tff(c_130436,plain,
sum('#skF_2',n11) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_1034]) ).
tff(c_130452,plain,
sum('#skF_2',n1) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_1054]) ).
tff(c_130480,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_448]) ).
tff(c_130475,plain,
sum(n11,n17) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_854]) ).
tff(c_130435,plain,
sum('#skF_2',n10) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_1036]) ).
tff(c_130453,plain,
sum('#skF_2',n2) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_1052]) ).
tff(c_130434,plain,
sum('#skF_2',n9) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_1038]) ).
tff(c_130766,plain,
( ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_118825]) ).
tff(c_130767,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_130766]) ).
tff(c_130422,plain,
sum(n3,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_1210]) ).
tff(c_130773,plain,
sum('#skF_1','#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_130767,c_130422]) ).
tff(c_130784,plain,
sum('#skF_1',n8) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_130767,c_1208]) ).
tff(c_130479,plain,
succ('#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_1420]) ).
tff(c_130505,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_130479,c_464]) ).
tff(c_130977,plain,
sum(pred(n11),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_130784,c_130505]) ).
tff(c_130978,plain,
sum(n10,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1370,c_130977]) ).
tff(c_131115,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_898,c_130434,c_1372,c_130773,c_130978]) ).
tff(c_131116,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_452,c_131115]) ).
tff(c_131117,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_130766]) ).
tff(c_131119,plain,
n17 = '#skF_1',
inference(splitLeft,[status(thm)],[c_131117]) ).
tff(c_130467,plain,
sum(n17,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_622]) ).
tff(c_131123,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_131119,c_130467]) ).
tff(c_131163,plain,
sum('#skF_1',n8) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_131119,c_620]) ).
tff(c_131345,plain,
sum(pred(n4),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_131163,c_130505]) ).
tff(c_131346,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1384,c_131345]) ).
tff(c_131467,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1206,c_130453,c_1386,c_131123,c_131346]) ).
tff(c_131468,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_438,c_131467]) ).
tff(c_131469,plain,
( ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_131117]) ).
tff(c_131471,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_131469]) ).
tff(c_130444,plain,
sum(n4,'#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_1168]) ).
tff(c_131474,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_131471,c_130444]) ).
tff(c_131507,plain,
sum('#skF_1',n8) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_131471,c_1166]) ).
tff(c_131657,plain,
sum(pred(n12),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_131507,c_130505]) ).
tff(c_131658,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1368,c_131657]) ).
tff(c_131819,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_130475,c_130435,c_1370,c_131474,c_131658]) ).
tff(c_131820,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130480,c_131819]) ).
tff(c_131821,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_131469]) ).
tff(c_131823,plain,
n16 = '#skF_1',
inference(splitLeft,[status(thm)],[c_131821]) ).
tff(c_130465,plain,
sum(n16,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_664]) ).
tff(c_131827,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_131823,c_130465]) ).
tff(c_131865,plain,
sum('#skF_1',n8) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_131823,c_662]) ).
tff(c_132021,plain,
sum(pred(n3),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_131865,c_130505]) ).
tff(c_132022,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1386,c_132021]) ).
tff(c_132171,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1250,c_130452,c_1388,c_131827,c_132022]) ).
tff(c_132172,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_442,c_132171]) ).
tff(c_132173,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' )
| ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_131821]) ).
tff(c_132175,plain,
n5 = '#skF_1',
inference(splitLeft,[status(thm)],[c_132173]) ).
tff(c_130447,plain,
sum(n5,'#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_1126]) ).
tff(c_132178,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_132175,c_130447]) ).
tff(c_132215,plain,
sum('#skF_1',n8) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_132175,c_1124]) ).
tff(c_132381,plain,
sum(pred(n13),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_132215,c_130505]) ).
tff(c_132382,plain,
sum(n12,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1366,c_132381]) ).
tff(c_132523,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_810,c_130436,c_1368,c_132178,c_132382]) ).
tff(c_132524,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_444,c_132523]) ).
tff(c_132525,plain,
( ( n6 = '#skF_1' )
| ( '#skF_2' = '#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_132173]) ).
tff(c_132527,plain,
n15 = '#skF_1',
inference(splitLeft,[status(thm)],[c_132525]) ).
tff(c_130463,plain,
sum(n15,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_706]) ).
tff(c_132532,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_132527,c_130463]) ).
tff(c_132565,plain,
sum('#skF_1',n8) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_132527,c_704]) ).
tff(c_132693,plain,
sum(pred(n2),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_132565,c_130505]) ).
tff(c_132694,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1388,c_132693]) ).
tff(c_132875,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_130420,c_130451,c_1390,c_132532,c_132694]) ).
tff(c_132876,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_446,c_132875]) ).
tff(c_132877,plain,
( ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_132525]) ).
tff(c_132879,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_132877]) ).
tff(c_130427,plain,
sum(n6,'#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_1084]) ).
tff(c_132880,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_132879,c_130427]) ).
tff(c_132935,plain,
sum('#skF_1',n8) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_132879,c_1082]) ).
tff(c_133037,plain,
sum(pred(n14),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_132935,c_130505]) ).
tff(c_133038,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1364,c_133037]) ).
tff(c_133227,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_766,c_130437,c_1366,c_132880,c_133038]) ).
tff(c_133228,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_440,c_133227]) ).
tff(c_133229,plain,
( ( '#skF_2' = '#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_132877]) ).
tff(c_133231,plain,
n14 = '#skF_1',
inference(splitLeft,[status(thm)],[c_133229]) ).
tff(c_130416,plain,
sum(n14,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_748]) ).
tff(c_133235,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_133231,c_130416]) ).
tff(c_133289,plain,
sum('#skF_1',n8) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_133231,c_746]) ).
tff(c_133361,plain,
sum(pred(n1),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_133289,c_130505]) ).
tff(c_133362,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1390,c_133361]) ).
tff(c_133579,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1338,c_130446,c_1392,c_133235,c_133362]) ).
tff(c_133580,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_450,c_133579]) ).
tff(c_133581,plain,
( ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_133229]) ).
tff(c_133583,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_133581]) ).
tff(c_130438,plain,
sum('#skF_2',n13) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_1030]) ).
tff(c_133614,plain,
sum('#skF_1',n13) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_133583,c_130438]) ).
tff(c_130431,plain,
sum('#skF_2','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_130415,c_1042]) ).
tff(c_133606,plain,
sum('#skF_1','#skF_1') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_133583,c_133583,c_130431]) ).
tff(c_130433,plain,
sum('#skF_2',n8) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_1040]) ).
tff(c_133609,plain,
sum('#skF_1',n8) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_133583,c_130433]) ).
tff(c_133584,plain,
sum(pred(sum('#skF_1',n8)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_133583,c_133583,c_130505]) ).
tff(c_133935,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_722,c_133614,c_1364,c_133606,c_1362,c_133609,c_133584]) ).
tff(c_133936,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_436,c_133935]) ).
tff(c_133937,plain,
( ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_133581]) ).
tff(c_133939,plain,
n13 = '#skF_1',
inference(splitLeft,[status(thm)],[c_133937]) ).
tff(c_130456,plain,
sum(n13,'#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_790]) ).
tff(c_133942,plain,
sum('#skF_1','#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_133939,c_130456]) ).
tff(c_133997,plain,
sum('#skF_1',n8) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_133939,c_788]) ).
tff(c_134077,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_133997,c_130505]) ).
tff(c_134078,plain,
sum(n20,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1392,c_134077]) ).
tff(c_134287,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_500,c_130445,c_1352,c_133942,c_134078]) ).
tff(c_134288,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_454,c_134287]) ).
tff(c_134289,plain,
( ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_133937]) ).
tff(c_134291,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_134289]) ).
tff(c_130425,plain,
sum(n8,'#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_1000]) ).
tff(c_134298,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_134291,c_130425]) ).
tff(c_134303,plain,
sum('#skF_1','#skF_1') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_134291,c_134291,c_998]) ).
tff(c_134292,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_134291,c_130505]) ).
tff(c_134638,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_720,c_130439,c_1362,c_134298,c_1360,c_134303,c_134292]) ).
tff(c_134639,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_432,c_134638]) ).
tff(c_134640,plain,
( ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_134289]) ).
tff(c_134642,plain,
n12 = '#skF_1',
inference(splitLeft,[status(thm)],[c_134640]) ).
tff(c_130448,plain,
sum(n12,'#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_832]) ).
tff(c_134643,plain,
sum('#skF_1','#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_134642,c_130448]) ).
tff(c_134676,plain,
sum('#skF_1',n8) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_134642,c_830]) ).
tff(c_134932,plain,
sum(pred(n20),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_134676,c_130505]) ).
tff(c_134933,plain,
sum(n19,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1352,c_134932]) ).
tff(c_134990,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_544,c_130443,c_1354,c_134643,c_134933]) ).
tff(c_134991,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_458,c_134990]) ).
tff(c_134992,plain,
( ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_134640]) ).
tff(c_134994,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_134992]) ).
tff(c_130424,plain,
sum(n9,'#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_958]) ).
tff(c_134997,plain,
sum('#skF_1','#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_134994,c_130424]) ).
tff(c_135025,plain,
sum('#skF_1',n8) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_134994,c_956]) ).
tff(c_135244,plain,
sum(pred(n17),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_135025,c_130505]) ).
tff(c_135245,plain,
sum(n16,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1358,c_135244]) ).
tff(c_135342,plain,
n17 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_676,c_130440,c_1360,c_134997,c_135245]) ).
tff(c_135343,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428,c_135342]) ).
tff(c_135344,plain,
( ( n10 = '#skF_1' )
| ( n11 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_134992]) ).
tff(c_135346,plain,
n11 = '#skF_1',
inference(splitLeft,[status(thm)],[c_135344]) ).
tff(c_130449,plain,
sum(n11,'#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_874]) ).
tff(c_135349,plain,
sum('#skF_1','#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_135346,c_130449]) ).
tff(c_135391,plain,
sum('#skF_1',n8) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_135346,c_872]) ).
tff(c_135612,plain,
sum(pred(n19),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_135391,c_130505]) ).
tff(c_135613,plain,
sum(n18,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1354,c_135612]) ).
tff(c_135694,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_588,c_130442,c_1356,c_135349,c_135613]) ).
tff(c_135695,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_462,c_135694]) ).
tff(c_135696,plain,
n10 = '#skF_1',
inference(splitRight,[status(thm)],[c_135344]) ).
tff(c_135708,plain,
sum('#skF_1',n8) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_135696,c_914]) ).
tff(c_130441,plain,
sum('#skF_2',n16) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_1024]) ).
tff(c_130472,plain,
sum(n10,'#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_130415,c_916]) ).
tff(c_135700,plain,
sum('#skF_1','#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_135696,c_130472]) ).
tff(c_135959,plain,
sum(pred(sum('#skF_1',n8)),sum('#skF_2',pred(n17))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_135700,c_130505]) ).
tff(c_135960,plain,
sum(pred(sum('#skF_1',n8)),n2) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_130441,c_1358,c_135959]) ).
tff(c_136045,plain,
n19 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_632,c_1356,c_135708,c_135960]) ).
tff(c_136046,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_424,c_136045]) ).
tff(c_136047,plain,
( ( n8 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' )
| ( n13 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_130413]) ).
tff(c_136049,plain,
n13 = '#skF_2',
inference(splitLeft,[status(thm)],[c_136047]) ).
tff(c_136103,plain,
sum('#skF_2',n2) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_800]) ).
tff(c_136107,plain,
sum(n1,'#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_1282]) ).
tff(c_136089,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_136049,c_804]) ).
tff(c_136072,plain,
sum('#skF_2',n3) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_798]) ).
tff(c_136068,plain,
sum('#skF_2',n20) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_764]) ).
tff(c_136079,plain,
sum('#skF_2',n19) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_766]) ).
tff(c_136091,plain,
sum('#skF_2',n5) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_794]) ).
tff(c_136056,plain,
sum('#skF_2',n18) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_768]) ).
tff(c_136101,plain,
sum('#skF_2',n6) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_792]) ).
tff(c_136105,plain,
sum('#skF_2',n17) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_770]) ).
tff(c_136085,plain,
sum('#skF_2',n7) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_790]) ).
tff(c_136106,plain,
sum('#skF_2',n8) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_788]) ).
tff(c_136088,plain,
sum('#skF_2',n15) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_774]) ).
tff(c_136400,plain,
( ( n17 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' )
| ( n3 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_118825]) ).
tff(c_136401,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_136400]) ).
tff(c_136065,plain,
sum(n3,'#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_1198]) ).
tff(c_136405,plain,
sum('#skF_1','#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_136401,c_136065]) ).
tff(c_136420,plain,
sum('#skF_1',n14) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_136401,c_1196]) ).
tff(c_136112,plain,
succ('#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_1408]) ).
tff(c_136139,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_136112,c_464]) ).
tff(c_136623,plain,
sum(pred(n17),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_136420,c_136139]) ).
tff(c_136624,plain,
sum(n16,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1358,c_136623]) ).
tff(c_136749,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_664,c_136088,c_1360,c_136405,c_136624]) ).
tff(c_136750,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_458,c_136749]) ).
tff(c_136751,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' )
| ( '#skF_2' = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_136400]) ).
tff(c_136753,plain,
n17 = '#skF_1',
inference(splitLeft,[status(thm)],[c_136751]) ).
tff(c_136096,plain,
sum(n17,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_610]) ).
tff(c_136757,plain,
sum('#skF_1','#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_136753,c_136096]) ).
tff(c_136802,plain,
sum('#skF_1',n14) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_136753,c_608]) ).
tff(c_137035,plain,
sum(pred(n10),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_136802,c_136139]) ).
tff(c_137036,plain,
sum(n9,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1372,c_137035]) ).
tff(c_137101,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_972,c_136106,c_1374,c_136757,c_137036]) ).
tff(c_137102,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_444,c_137101]) ).
tff(c_137103,plain,
( ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_136751]) ).
tff(c_137105,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_137103]) ).
tff(c_137171,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_137105,c_454]) ).
tff(c_137157,plain,
sum(n17,n8) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_137105,c_620]) ).
tff(c_136062,plain,
sum('#skF_2',n16) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_772]) ).
tff(c_136071,plain,
sum(n4,'#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_1156]) ).
tff(c_137106,plain,
sum('#skF_1','#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_137105,c_136071]) ).
tff(c_137131,plain,
sum('#skF_1',n14) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_137105,c_1154]) ).
tff(c_137403,plain,
sum(pred(n18),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_137131,c_136139]) ).
tff(c_137404,plain,
sum(n17,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1356,c_137403]) ).
tff(c_137453,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_137157,c_136062,c_1358,c_137106,c_137404]) ).
tff(c_137454,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137171,c_137453]) ).
tff(c_137455,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_137103]) ).
tff(c_137457,plain,
n16 = '#skF_1',
inference(splitLeft,[status(thm)],[c_137455]) ).
tff(c_136094,plain,
sum(n16,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_652]) ).
tff(c_137460,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_137457,c_136094]) ).
tff(c_137504,plain,
sum('#skF_1',n14) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_137457,c_650]) ).
tff(c_137719,plain,
sum(pred(n9),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_137504,c_136139]) ).
tff(c_137720,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1374,c_137719]) ).
tff(c_137805,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_974,c_136085,c_1376,c_137460,c_137720]) ).
tff(c_137806,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_448,c_137805]) ).
tff(c_137807,plain,
( ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_137455]) ).
tff(c_137809,plain,
n5 = '#skF_1',
inference(splitLeft,[status(thm)],[c_137807]) ).
tff(c_136053,plain,
sum(n5,'#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_1114]) ).
tff(c_137813,plain,
sum('#skF_1','#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_137809,c_136053]) ).
tff(c_137826,plain,
sum('#skF_1',n14) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_137809,c_1112]) ).
tff(c_138007,plain,
sum(pred(n19),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_137826,c_136139]) ).
tff(c_138008,plain,
sum(n18,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1354,c_138007]) ).
tff(c_138157,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_576,c_136105,c_1356,c_137813,c_138008]) ).
tff(c_138158,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_450,c_138157]) ).
tff(c_138159,plain,
( ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_137807]) ).
tff(c_138161,plain,
n15 = '#skF_1',
inference(splitLeft,[status(thm)],[c_138159]) ).
tff(c_136090,plain,
sum(n15,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_694]) ).
tff(c_138163,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_138161,c_136090]) ).
tff(c_138207,plain,
sum('#skF_1',n14) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_138161,c_692]) ).
tff(c_138423,plain,
sum(pred(n8),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_138207,c_136139]) ).
tff(c_138424,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1376,c_138423]) ).
tff(c_138509,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1018,c_136101,c_1378,c_138163,c_138424]) ).
tff(c_138510,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_452,c_138509]) ).
tff(c_138511,plain,
( ( n14 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_138159]) ).
tff(c_138513,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_138511]) ).
tff(c_136082,plain,
sum(n6,'#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_1072]) ).
tff(c_138515,plain,
sum('#skF_1','#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_138513,c_136082]) ).
tff(c_138547,plain,
sum('#skF_1',n14) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_138513,c_1070]) ).
tff(c_138623,plain,
sum(pred(n20),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_138547,c_136139]) ).
tff(c_138624,plain,
sum(n19,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1352,c_138623]) ).
tff(c_138861,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_532,c_136056,c_1354,c_138515,c_138624]) ).
tff(c_138862,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_446,c_138861]) ).
tff(c_138863,plain,
( ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n14 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_138511]) ).
tff(c_138865,plain,
n14 = '#skF_1',
inference(splitLeft,[status(thm)],[c_138863]) ).
tff(c_136055,plain,
sum(n14,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_736]) ).
tff(c_138869,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_138865,c_136055]) ).
tff(c_138898,plain,
sum('#skF_1','#skF_1') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_138865,c_138865,c_734]) ).
tff(c_138866,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_138865,c_136139]) ).
tff(c_139212,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1062,c_136091,c_1380,c_138869,c_1378,c_138898,c_138866]) ).
tff(c_139213,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_456,c_139212]) ).
tff(c_139214,plain,
( ( '#skF_2' = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_138863]) ).
tff(c_139216,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_139214]) ).
tff(c_136078,plain,
sum(n7,'#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_1030]) ).
tff(c_139220,plain,
sum('#skF_1','#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_139216,c_136078]) ).
tff(c_139244,plain,
sum('#skF_1',n14) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_139216,c_1028]) ).
tff(c_139330,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_139244,c_136139]) ).
tff(c_139331,plain,
sum(n20,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1392,c_139330]) ).
tff(c_139564,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_488,c_136079,c_1352,c_139220,c_139331]) ).
tff(c_139565,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_442,c_139564]) ).
tff(c_139566,plain,
( ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_139214]) ).
tff(c_139568,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_139566]) ).
tff(c_136083,plain,
sum('#skF_2',n4) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_796]) ).
tff(c_139609,plain,
sum('#skF_1',n4) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_139568,c_136083]) ).
tff(c_136054,plain,
sum('#skF_2',n14) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_776]) ).
tff(c_139610,plain,
sum('#skF_1',n14) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_139568,c_136054]) ).
tff(c_136050,plain,
sum('#skF_2','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_136049,c_778]) ).
tff(c_139617,plain,
sum('#skF_1','#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_139568,c_139568,c_136050]) ).
tff(c_139569,plain,
sum(pred(sum('#skF_1',n14)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_139568,c_139568,c_136139]) ).
tff(c_139920,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1106,c_139609,c_1380,c_139610,c_1382,c_139617,c_139569]) ).
tff(c_139921,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_460,c_139920]) ).
tff(c_139922,plain,
( ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_139566]) ).
tff(c_139924,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_139922]) ).
tff(c_136069,plain,
sum(n8,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_988]) ).
tff(c_139925,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_139924,c_136069]) ).
tff(c_139983,plain,
sum('#skF_1',n14) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_139924,c_986]) ).
tff(c_140054,plain,
sum(pred(n1),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_139983,c_136139]) ).
tff(c_140055,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1390,c_140054]) ).
tff(c_140272,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1326,c_136068,c_1392,c_139925,c_140055]) ).
tff(c_140273,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_438,c_140272]) ).
tff(c_140274,plain,
( ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_139922]) ).
tff(c_140276,plain,
n12 = '#skF_1',
inference(splitLeft,[status(thm)],[c_140274]) ).
tff(c_136063,plain,
sum(n12,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_820]) ).
tff(c_140278,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_140276,c_136063]) ).
tff(c_140325,plain,
sum('#skF_1',n14) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_140276,c_818]) ).
tff(c_140558,plain,
sum(pred(n5),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_140325,c_136139]) ).
tff(c_140559,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1382,c_140558]) ).
tff(c_140624,plain,
n20 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1150,c_136072,c_1384,c_140278,c_140559]) ).
tff(c_140625,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422,c_140624]) ).
tff(c_140626,plain,
( ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_140274]) ).
tff(c_140628,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_140626]) ).
tff(c_136067,plain,
sum(n9,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_946]) ).
tff(c_140631,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_140628,c_136067]) ).
tff(c_140680,plain,
sum('#skF_1',n14) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_140628,c_944]) ).
tff(c_140898,plain,
sum(pred(n2),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_140680,c_136139]) ).
tff(c_140899,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1388,c_140898]) ).
tff(c_140976,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_136107,c_136089,c_1390,c_140631,c_140899]) ).
tff(c_140977,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_434,c_140976]) ).
tff(c_140978,plain,
( ( n10 = '#skF_1' )
| ( n11 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_140626]) ).
tff(c_140980,plain,
n11 = '#skF_1',
inference(splitLeft,[status(thm)],[c_140978]) ).
tff(c_136075,plain,
sum(n11,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_862]) ).
tff(c_140982,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_140980,c_136075]) ).
tff(c_141034,plain,
sum('#skF_1',n14) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_140980,c_860]) ).
tff(c_141290,plain,
sum(pred(n4),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_141034,c_136139]) ).
tff(c_141291,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1384,c_141290]) ).
tff(c_141328,plain,
n18 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1194,c_136103,c_1386,c_140982,c_141291]) ).
tff(c_141329,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426,c_141328]) ).
tff(c_141330,plain,
n10 = '#skF_1',
inference(splitRight,[status(thm)],[c_140978]) ).
tff(c_141345,plain,
sum('#skF_1',n14) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_141330,c_902]) ).
tff(c_136086,plain,
sum('#skF_2',n1) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_802]) ).
tff(c_136102,plain,
sum(n10,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_136049,c_904]) ).
tff(c_141336,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_141330,c_136102]) ).
tff(c_141509,plain,
sum(pred(sum('#skF_1',n14)),sum('#skF_2',pred(n2))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_141336,c_136139]) ).
tff(c_141510,plain,
sum(pred(sum('#skF_1',n14)),n14) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_136086,c_1388,c_141509]) ).
tff(c_141679,plain,
n16 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1238,c_1386,c_141345,c_141510]) ).
tff(c_141680,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430,c_141679]) ).
tff(c_141681,plain,
( ( n12 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' )
| ( n8 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_136047]) ).
tff(c_143789,plain,
n8 = '#skF_2',
inference(splitLeft,[status(thm)],[c_141681]) ).
tff(c_144503,plain,
sum('#skF_2',n18) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_978]) ).
tff(c_144500,plain,
sum('#skF_2',n16) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_982]) ).
tff(c_144478,plain,
sum('#skF_2',n19) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_976]) ).
tff(c_144477,plain,
sum('#skF_2',n20) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_974]) ).
tff(c_144518,plain,
sum('#skF_2',n14) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_986]) ).
tff(c_144470,plain,
sum(n1,'#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_1292]) ).
tff(c_144488,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_143789,c_1014]) ).
tff(c_144483,plain,
sum('#skF_2',n13) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_988]) ).
tff(c_144489,plain,
sum('#skF_2',n1) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_1012]) ).
tff(c_144482,plain,
sum('#skF_2',n12) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_990]) ).
tff(c_144490,plain,
sum('#skF_2',n2) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_1010]) ).
tff(c_144520,plain,
sum('#skF_2',n11) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_992]) ).
tff(c_143820,plain,
sum('#skF_2',n3) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_1008]) ).
tff(c_141683,plain,
n3 = '#skF_1',
inference(splitLeft,[status(thm)],[c_118825]) ).
tff(c_141720,plain,
sum(n14,'#skF_1') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_141683,c_756]) ).
tff(c_142030,plain,
n8 = '#skF_2',
inference(splitLeft,[status(thm)],[c_141681]) ).
tff(c_142096,plain,
'#skF_2' != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_142030,c_446]) ).
tff(c_142072,plain,
sum(n11,n18) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_142030,c_852]) ).
tff(c_142074,plain,
sum('#skF_2',n10) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_142030,c_994]) ).
tff(c_141696,plain,
sum('#skF_1',n8) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_141683,c_1208]) ).
tff(c_142031,plain,
sum('#skF_1','#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_142030,c_141696]) ).
tff(c_141744,plain,
sum('#skF_1',n9) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_141683,c_1206]) ).
tff(c_142092,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_142030,c_1418]) ).
tff(c_142124,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_142092,c_464]) ).
tff(c_142125,plain,
sum(n11,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1368,c_141744,c_142124]) ).
tff(c_142378,plain,
'#skF_2' = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_142072,c_142074,c_1370,c_142031,c_142125]) ).
tff(c_142379,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142096,c_142378]) ).
tff(c_142380,plain,
( ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_141681]) ).
tff(c_142382,plain,
n12 = '#skF_2',
inference(splitLeft,[status(thm)],[c_142380]) ).
tff(c_142430,plain,
sum('#skF_2',n14) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_142382,c_818]) ).
tff(c_141704,plain,
sum('#skF_1',n12) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_141683,c_1200]) ).
tff(c_142384,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_142382,c_141704]) ).
tff(c_141700,plain,
sum('#skF_1',n13) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_141683,c_1198]) ).
tff(c_142445,plain,
succ('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_142382,c_1410]) ).
tff(c_142480,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_142445,c_464]) ).
tff(c_142481,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1360,c_141700,c_142480]) ).
tff(c_142730,plain,
n20 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_710,c_142430,c_1362,c_142384,c_142481]) ).
tff(c_142731,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422,c_142730]) ).
tff(c_142732,plain,
( ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_142380]) ).
tff(c_142734,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_142732]) ).
tff(c_142762,plain,
sum('#skF_2',n11) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_142734,c_950]) ).
tff(c_142739,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_142734,c_141744]) ).
tff(c_141694,plain,
sum('#skF_1',n10) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_141683,c_1204]) ).
tff(c_142796,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_142734,c_1416]) ).
tff(c_142824,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_142796,c_464]) ).
tff(c_142825,plain,
sum(n12,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1366,c_141694,c_142824]) ).
tff(c_143082,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_806,c_142762,c_1368,c_142739,c_142825]) ).
tff(c_143083,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_440,c_143082]) ).
tff(c_143084,plain,
( ( n10 = '#skF_2' )
| ( n11 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_142732]) ).
tff(c_143086,plain,
n11 = '#skF_2',
inference(splitLeft,[status(thm)],[c_143084]) ).
tff(c_141708,plain,
sum(n11,n13) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_141683,c_862]) ).
tff(c_143088,plain,
sum('#skF_2',n13) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_143086,c_141708]) ).
tff(c_141688,plain,
sum('#skF_1',n11) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_141683,c_1202]) ).
tff(c_143092,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_143086,c_141688]) ).
tff(c_143148,plain,
succ('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_143086,c_1412]) ).
tff(c_143176,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_143148,c_464]) ).
tff(c_143177,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1362,c_141704,c_143176]) ).
tff(c_143434,plain,
n17 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_141720,c_143088,c_1364,c_143092,c_143177]) ).
tff(c_143435,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428,c_143434]) ).
tff(c_143436,plain,
n10 = '#skF_2',
inference(splitRight,[status(thm)],[c_143084]) ).
tff(c_143479,plain,
sum('#skF_2',n12) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_143436,c_906]) ).
tff(c_143438,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_143436,c_141694]) ).
tff(c_143499,plain,
succ('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_143436,c_1414]) ).
tff(c_143535,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_143499,c_464]) ).
tff(c_143536,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1364,c_141688,c_143535]) ).
tff(c_143785,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_802,c_143479,c_1366,c_143438,c_143536]) ).
tff(c_143786,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_434,c_143785]) ).
tff(c_143787,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_118825]) ).
tff(c_143790,plain,
n17 = '#skF_1',
inference(splitLeft,[status(thm)],[c_143787]) ).
tff(c_143839,plain,
sum(n17,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_620]) ).
tff(c_144281,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_143790,c_143839]) ).
tff(c_143916,plain,
sum('#skF_1',n9) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_143790,c_618]) ).
tff(c_143851,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_1418]) ).
tff(c_143975,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_143851,c_464]) ).
tff(c_144458,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1160,c_143820,c_1384,c_144281,c_1382,c_143916,c_143975]) ).
tff(c_144459,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_432,c_144458]) ).
tff(c_144460,plain,
( ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_143787]) ).
tff(c_144812,plain,
( ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_144460]) ).
tff(c_144813,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_144812]) ).
tff(c_144498,plain,
sum(n4,'#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_1166]) ).
tff(c_144814,plain,
sum('#skF_1','#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_144813,c_144498]) ).
tff(c_144872,plain,
sum('#skF_1',n9) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_144813,c_1164]) ).
tff(c_144522,plain,
succ('#skF_2') = n9,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_1418]) ).
tff(c_144563,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_144522,c_464]) ).
tff(c_144947,plain,
sum(pred(n13),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_144872,c_144563]) ).
tff(c_144948,plain,
sum(n12,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1366,c_144947]) ).
tff(c_145161,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_808,c_144520,c_1368,c_144814,c_144948]) ).
tff(c_145162,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_442,c_145161]) ).
tff(c_145163,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_144812]) ).
tff(c_145165,plain,
n16 = '#skF_1',
inference(splitLeft,[status(thm)],[c_145163]) ).
tff(c_144507,plain,
sum(n16,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_662]) ).
tff(c_145169,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_145165,c_144507]) ).
tff(c_145207,plain,
sum('#skF_1',n9) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_145165,c_660]) ).
tff(c_145335,plain,
sum(pred(n4),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_145207,c_144563]) ).
tff(c_145336,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1384,c_145335]) ).
tff(c_145513,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1204,c_144490,c_1386,c_145169,c_145336]) ).
tff(c_145514,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_436,c_145513]) ).
tff(c_145515,plain,
( ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_145163]) ).
tff(c_145517,plain,
n5 = '#skF_1',
inference(splitLeft,[status(thm)],[c_145515]) ).
tff(c_144506,plain,
sum(n5,'#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_1124]) ).
tff(c_145519,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_145517,c_144506]) ).
tff(c_145538,plain,
sum('#skF_1',n9) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_145517,c_1122]) ).
tff(c_145831,plain,
sum(pred(n14),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_145538,c_144563]) ).
tff(c_145832,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1364,c_145831]) ).
tff(c_145865,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_764,c_144482,c_1366,c_145519,c_145832]) ).
tff(c_145866,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_438,c_145865]) ).
tff(c_145867,plain,
( ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( '#skF_2' = '#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_145515]) ).
tff(c_145869,plain,
n15 = '#skF_1',
inference(splitLeft,[status(thm)],[c_145867]) ).
tff(c_144504,plain,
sum(n15,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_704]) ).
tff(c_145873,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_145869,c_144504]) ).
tff(c_145908,plain,
sum('#skF_1',n9) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_145869,c_702]) ).
tff(c_146027,plain,
sum(pred(n3),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_145908,c_144563]) ).
tff(c_146028,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1386,c_146027]) ).
tff(c_146217,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1248,c_144489,c_1388,c_145873,c_146028]) ).
tff(c_146218,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_440,c_146217]) ).
tff(c_146219,plain,
( ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_145867]) ).
tff(c_146221,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_146219]) ).
tff(c_144513,plain,
sum(n6,'#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_1082]) ).
tff(c_146226,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_146221,c_144513]) ).
tff(c_146233,plain,
sum('#skF_1',n9) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_146221,c_1080]) ).
tff(c_146463,plain,
sum(pred(n15),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_146233,c_144563]) ).
tff(c_146464,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1362,c_146463]) ).
tff(c_146569,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_762,c_144483,c_1364,c_146226,c_146464]) ).
tff(c_146570,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_434,c_146569]) ).
tff(c_146571,plain,
( ( n7 = '#skF_1' )
| ( '#skF_2' = '#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_146219]) ).
tff(c_146573,plain,
n14 = '#skF_1',
inference(splitLeft,[status(thm)],[c_146571]) ).
tff(c_144521,plain,
sum(n14,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_746]) ).
tff(c_146579,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_146573,c_144521]) ).
tff(c_146599,plain,
sum('#skF_1',n9) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_146573,c_744]) ).
tff(c_146879,plain,
sum(pred(n2),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_146599,c_144563]) ).
tff(c_146880,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1388,c_146879]) ).
tff(c_146921,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_144470,c_144488,c_1390,c_146579,c_146880]) ).
tff(c_146922,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_444,c_146921]) ).
tff(c_146923,plain,
( ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_146571]) ).
tff(c_146925,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_146923]) ).
tff(c_144487,plain,
sum(n7,'#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_1040]) ).
tff(c_146927,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_146925,c_144487]) ).
tff(c_146948,plain,
sum('#skF_1',n9) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_146925,c_1038]) ).
tff(c_147199,plain,
sum(pred(n16),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_146948,c_144563]) ).
tff(c_147200,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1360,c_147199]) ).
tff(c_147273,plain,
n16 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_718,c_144518,c_1362,c_146927,c_147200]) ).
tff(c_147274,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430,c_147273]) ).
tff(c_147275,plain,
( ( '#skF_2' = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_146923]) ).
tff(c_147277,plain,
n13 = '#skF_1',
inference(splitLeft,[status(thm)],[c_147275]) ).
tff(c_144519,plain,
sum(n13,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_788]) ).
tff(c_147283,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_147277,c_144519]) ).
tff(c_147294,plain,
sum('#skF_1',n9) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_147277,c_786]) ).
tff(c_147527,plain,
sum(pred(n1),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_147294,c_144563]) ).
tff(c_147528,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1390,c_147527]) ).
tff(c_147625,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1336,c_144477,c_1392,c_147283,c_147528]) ).
tff(c_147626,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_448,c_147625]) ).
tff(c_147627,plain,
( ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_147275]) ).
tff(c_147629,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_147627]) ).
tff(c_144468,plain,
sum('#skF_2',n9) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_996]) ).
tff(c_147652,plain,
sum('#skF_1',n9) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_147629,c_144468]) ).
tff(c_144494,plain,
sum('#skF_2',n15) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_984]) ).
tff(c_147690,plain,
sum('#skF_1',n15) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_147629,c_144494]) ).
tff(c_144463,plain,
sum('#skF_2','#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_143789,c_998]) ).
tff(c_147645,plain,
sum('#skF_1','#skF_1') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_147629,c_147629,c_144463]) ).
tff(c_147630,plain,
sum(pred(sum('#skF_1',n9)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_147629,c_147629,c_144563]) ).
tff(c_147981,plain,
n18 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_674,c_1358,c_147652,c_147690,c_1360,c_147645,c_147630]) ).
tff(c_147982,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426,c_147981]) ).
tff(c_147983,plain,
( ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_147627]) ).
tff(c_147985,plain,
n12 = '#skF_1',
inference(splitLeft,[status(thm)],[c_147983]) ).
tff(c_144497,plain,
sum(n12,'#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_830]) ).
tff(c_147986,plain,
sum('#skF_1','#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_147985,c_144497]) ).
tff(c_148042,plain,
sum('#skF_1',n9) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_147985,c_828]) ).
tff(c_148155,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_148042,c_144563]) ).
tff(c_148156,plain,
sum(n20,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1392,c_148155]) ).
tff(c_148333,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_498,c_144478,c_1352,c_147986,c_148156]) ).
tff(c_148334,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_452,c_148333]) ).
tff(c_148335,plain,
( ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_147983]) ).
tff(c_148337,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_148335]) ).
tff(c_144486,plain,
sum(n9,'#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_956]) ).
tff(c_148341,plain,
sum('#skF_1','#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_148337,c_144486]) ).
tff(c_148354,plain,
sum('#skF_1','#skF_1') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_148337,c_148337,c_954]) ).
tff(c_148338,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_148337,c_144563]) ).
tff(c_148684,plain,
n20 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_630,c_144500,c_1358,c_148341,c_1356,c_148354,c_148338]) ).
tff(c_148685,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422,c_148684]) ).
tff(c_148686,plain,
( ( n10 = '#skF_1' )
| ( n11 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_148335]) ).
tff(c_148688,plain,
n11 = '#skF_1',
inference(splitLeft,[status(thm)],[c_148686]) ).
tff(c_144509,plain,
sum(n11,'#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_872]) ).
tff(c_148690,plain,
sum('#skF_1','#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_148688,c_144509]) ).
tff(c_148739,plain,
sum('#skF_1',n9) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_148688,c_870]) ).
tff(c_148970,plain,
sum(pred(n20),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_148739,c_144563]) ).
tff(c_148971,plain,
sum(n19,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1352,c_148970]) ).
tff(c_149036,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_542,c_144503,c_1354,c_148690,c_148971]) ).
tff(c_149037,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_456,c_149036]) ).
tff(c_149038,plain,
n10 = '#skF_1',
inference(splitRight,[status(thm)],[c_148686]) ).
tff(c_149060,plain,
sum('#skF_1',n9) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_149038,c_912]) ).
tff(c_144476,plain,
sum('#skF_2',n17) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_980]) ).
tff(c_144465,plain,
sum(n10,'#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_143789,c_914]) ).
tff(c_149044,plain,
sum('#skF_1','#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_149038,c_144465]) ).
tff(c_149209,plain,
sum(pred(sum('#skF_1',n9)),sum('#skF_2',pred(n18))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_149044,c_144563]) ).
tff(c_149210,plain,
sum(pred(sum('#skF_1',n9)),n4) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_144476,c_1356,c_149209]) ).
tff(c_149387,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_586,c_1354,c_149060,c_149210]) ).
tff(c_149388,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_460,c_149387]) ).
tff(c_149389,plain,
( ( n9 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n11 = '#skF_2' )
| ( n12 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_141681]) ).
tff(c_149391,plain,
n12 = '#skF_2',
inference(splitLeft,[status(thm)],[c_149389]) ).
tff(c_149451,plain,
sum(n1,'#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_1284]) ).
tff(c_149395,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_149391,c_846]) ).
tff(c_149409,plain,
sum('#skF_2',n1) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_844]) ).
tff(c_149446,plain,
sum('#skF_2',n20) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_806]) ).
tff(c_149443,plain,
sum('#skF_2',n19) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_808]) ).
tff(c_149424,plain,
sum('#skF_2',n3) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_840]) ).
tff(c_149396,plain,
sum('#skF_2',n4) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_838]) ).
tff(c_149403,plain,
sum('#skF_2',n17) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_812]) ).
tff(c_149442,plain,
sum('#skF_2',n5) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_836]) ).
tff(c_149439,plain,
sum('#skF_2',n16) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_814]) ).
tff(c_149432,plain,
sum('#skF_2',n6) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_834]) ).
tff(c_149417,plain,
sum('#skF_2',n15) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_816]) ).
tff(c_149420,plain,
sum('#skF_2',n7) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_832]) ).
tff(c_149742,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_143787]) ).
tff(c_149743,plain,
n17 = '#skF_1',
inference(splitLeft,[status(thm)],[c_149742]) ).
tff(c_149437,plain,
sum(n17,'#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_612]) ).
tff(c_149747,plain,
sum('#skF_1','#skF_2') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_149743,c_149437]) ).
tff(c_149791,plain,
sum('#skF_1',n13) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_149743,c_610]) ).
tff(c_149453,plain,
succ('#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_1410]) ).
tff(c_149493,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_149453,c_464]) ).
tff(c_150001,plain,
sum(pred(n9),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_149791,c_149493]) ).
tff(c_150002,plain,
sum(n8,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1374,c_150001]) ).
tff(c_150091,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_976,c_149420,c_1376,c_149747,c_150002]) ).
tff(c_150092,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_450,c_150091]) ).
tff(c_150093,plain,
( ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_149742]) ).
tff(c_150095,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_150093]) ).
tff(c_149393,plain,
sum(n4,'#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_1158]) ).
tff(c_150100,plain,
sum('#skF_1','#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_150095,c_149393]) ).
tff(c_150115,plain,
sum('#skF_1',n13) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_150095,c_1156]) ).
tff(c_150337,plain,
sum(pred(n17),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_150115,c_149493]) ).
tff(c_150338,plain,
sum(n16,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1358,c_150337]) ).
tff(c_150443,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_666,c_149417,c_1360,c_150100,c_150338]) ).
tff(c_150444,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_460,c_150443]) ).
tff(c_150445,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_150093]) ).
tff(c_150447,plain,
n16 = '#skF_1',
inference(splitLeft,[status(thm)],[c_150445]) ).
tff(c_149433,plain,
sum(n16,'#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_654]) ).
tff(c_150448,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_150447,c_149433]) ).
tff(c_150495,plain,
sum('#skF_1',n13) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_150447,c_652]) ).
tff(c_150717,plain,
sum(pred(n8),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_150495,c_149493]) ).
tff(c_150718,plain,
sum(n7,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1376,c_150717]) ).
tff(c_150795,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1020,c_149432,c_1378,c_150448,c_150718]) ).
tff(c_150796,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_454,c_150795]) ).
tff(c_150797,plain,
( ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_150445]) ).
tff(c_150799,plain,
n5 = '#skF_1',
inference(splitLeft,[status(thm)],[c_150797]) ).
tff(c_149402,plain,
sum(n5,'#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_1116]) ).
tff(c_150802,plain,
sum('#skF_1','#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_150799,c_149402]) ).
tff(c_150810,plain,
sum('#skF_1',n13) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_150799,c_1114]) ).
tff(c_150993,plain,
sum(pred(n18),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_150810,c_149493]) ).
tff(c_150994,plain,
sum(n17,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1356,c_150993]) ).
tff(c_151147,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_622,c_149439,c_1358,c_150802,c_150994]) ).
tff(c_151148,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_456,c_151147]) ).
tff(c_151149,plain,
( ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_150797]) ).
tff(c_151151,plain,
n15 = '#skF_1',
inference(splitLeft,[status(thm)],[c_151149]) ).
tff(c_149430,plain,
sum(n15,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_696]) ).
tff(c_151152,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_151151,c_149430]) ).
tff(c_151194,plain,
sum('#skF_1',n13) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_151151,c_694]) ).
tff(c_151357,plain,
sum(pred(n7),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_151194,c_149493]) ).
tff(c_151358,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1378,c_151357]) ).
tff(c_151499,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1064,c_149442,c_1380,c_151152,c_151358]) ).
tff(c_151500,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_458,c_151499]) ).
tff(c_151501,plain,
( ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_151149]) ).
tff(c_151503,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_151501]) ).
tff(c_149421,plain,
sum(n6,'#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_1074]) ).
tff(c_151508,plain,
sum('#skF_1','#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_151503,c_149421]) ).
tff(c_151537,plain,
sum('#skF_1',n13) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_151503,c_1072]) ).
tff(c_151705,plain,
sum(pred(n19),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_151537,c_149493]) ).
tff(c_151706,plain,
sum(n18,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1354,c_151705]) ).
tff(c_151851,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_578,c_149403,c_1356,c_151508,c_151706]) ).
tff(c_151852,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_452,c_151851]) ).
tff(c_151853,plain,
( ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_151501]) ).
tff(c_151855,plain,
n14 = '#skF_1',
inference(splitLeft,[status(thm)],[c_151853]) ).
tff(c_149392,plain,
sum(n14,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_738]) ).
tff(c_151861,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_151855,c_149392]) ).
tff(c_151867,plain,
sum('#skF_1',n13) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_151855,c_736]) ).
tff(c_152097,plain,
sum(pred(n6),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_151867,c_149493]) ).
tff(c_152098,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1380,c_152097]) ).
tff(c_152203,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1108,c_149396,c_1382,c_151861,c_152098]) ).
tff(c_152204,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_462,c_152203]) ).
tff(c_152205,plain,
( ( n13 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_151853]) ).
tff(c_152207,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_152205]) ).
tff(c_152273,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_152207,c_448]) ).
tff(c_152245,plain,
sum(n19,n9) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_152207,c_534]) ).
tff(c_149444,plain,
sum('#skF_2',n18) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_810]) ).
tff(c_149412,plain,
sum(n7,'#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_1032]) ).
tff(c_152211,plain,
sum('#skF_1','#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_152207,c_149412]) ).
tff(c_152235,plain,
sum('#skF_1',n13) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_152207,c_1030]) ).
tff(c_152453,plain,
sum(pred(n20),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_152235,c_149493]) ).
tff(c_152454,plain,
sum(n19,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1352,c_152453]) ).
tff(c_152555,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_152245,c_149444,c_1354,c_152211,c_152454]) ).
tff(c_152556,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_152273,c_152555]) ).
tff(c_152557,plain,
( ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n13 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_152205]) ).
tff(c_152559,plain,
n13 = '#skF_1',
inference(splitLeft,[status(thm)],[c_152557]) ).
tff(c_149398,plain,
sum(n13,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_780]) ).
tff(c_152561,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_152559,c_149398]) ).
tff(c_152570,plain,
sum('#skF_1','#skF_1') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_152559,c_152559,c_778]) ).
tff(c_152560,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_152559,c_149493]) ).
tff(c_152906,plain,
n19 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1152,c_149424,c_1384,c_152561,c_1382,c_152570,c_152560]) ).
tff(c_152907,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_424,c_152906]) ).
tff(c_152908,plain,
( ( '#skF_2' = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_152557]) ).
tff(c_152910,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_152908]) ).
tff(c_149405,plain,
sum(n8,'#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_990]) ).
tff(c_152912,plain,
sum('#skF_1','#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_152910,c_149405]) ).
tff(c_152937,plain,
sum('#skF_1',n13) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_152910,c_988]) ).
tff(c_153056,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_152937,c_149493]) ).
tff(c_153057,plain,
sum(n20,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1392,c_153056]) ).
tff(c_153258,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_490,c_149443,c_1352,c_152912,c_153057]) ).
tff(c_153259,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_444,c_153258]) ).
tff(c_153260,plain,
( ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_152908]) ).
tff(c_153262,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_153260]) ).
tff(c_149425,plain,
sum('#skF_2',n2) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_842]) ).
tff(c_153269,plain,
sum('#skF_1',n2) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_153262,c_149425]) ).
tff(c_149399,plain,
sum('#skF_2','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_149391,c_822]) ).
tff(c_153286,plain,
sum('#skF_1','#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_153262,c_153262,c_149399]) ).
tff(c_149401,plain,
sum('#skF_2',n13) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_820]) ).
tff(c_153305,plain,
sum('#skF_1',n13) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_153262,c_149401]) ).
tff(c_153263,plain,
sum(pred(sum('#skF_1',n13)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_153262,c_153262,c_149493]) ).
tff(c_153614,plain,
n17 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1196,c_153269,c_1386,c_153286,c_1384,c_153305,c_153263]) ).
tff(c_153615,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428,c_153614]) ).
tff(c_153616,plain,
( ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_153260]) ).
tff(c_153618,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_153616]) ).
tff(c_149427,plain,
sum(n9,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_948]) ).
tff(c_153619,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_153618,c_149427]) ).
tff(c_153643,plain,
sum('#skF_1',n13) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_153618,c_946]) ).
tff(c_153836,plain,
sum(pred(n1),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_153643,c_149493]) ).
tff(c_153837,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1390,c_153836]) ).
tff(c_153966,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1328,c_149446,c_1392,c_153619,c_153837]) ).
tff(c_153967,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_440,c_153966]) ).
tff(c_153968,plain,
( ( n10 = '#skF_1' )
| ( n11 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_153616]) ).
tff(c_153970,plain,
n11 = '#skF_1',
inference(splitLeft,[status(thm)],[c_153968]) ).
tff(c_149426,plain,
sum(n11,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_864]) ).
tff(c_153971,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_153970,c_149426]) ).
tff(c_153996,plain,
sum('#skF_1',n13) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_153970,c_862]) ).
tff(c_154096,plain,
sum(pred(n3),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_153996,c_149493]) ).
tff(c_154097,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1386,c_154096]) ).
tff(c_154318,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1240,c_149409,c_1388,c_153971,c_154097]) ).
tff(c_154319,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_432,c_154318]) ).
tff(c_154320,plain,
n10 = '#skF_1',
inference(splitRight,[status(thm)],[c_153968]) ).
tff(c_149434,plain,
sum(n10,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_149391,c_906]) ).
tff(c_154324,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_154320,c_149434]) ).
tff(c_154379,plain,
sum('#skF_1',n13) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_154320,c_904]) ).
tff(c_154447,plain,
sum(pred(n2),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_154379,c_149493]) ).
tff(c_154448,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1388,c_154447]) ).
tff(c_154669,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_149451,c_149395,c_1390,c_154324,c_154448]) ).
tff(c_154670,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_436,c_154669]) ).
tff(c_154671,plain,
( ( n11 = '#skF_2' )
| ( n10 = '#skF_2' )
| ( n9 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_149389]) ).
tff(c_154673,plain,
n9 = '#skF_2',
inference(splitLeft,[status(thm)],[c_154671]) ).
tff(c_154685,plain,
sum('#skF_2',n19) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_934]) ).
tff(c_154677,plain,
sum('#skF_2',n20) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_932]) ).
tff(c_154692,plain,
sum('#skF_2',n16) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_940]) ).
tff(c_154730,plain,
sum(n1,'#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_1290]) ).
tff(c_154679,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_154673,c_972]) ).
tff(c_154721,plain,
sum('#skF_2',n15) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_942]) ).
tff(c_154728,plain,
sum('#skF_2',n1) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_970]) ).
tff(c_154722,plain,
sum('#skF_2',n14) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_944]) ).
tff(c_154680,plain,
sum('#skF_2',n2) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_968]) ).
tff(c_154691,plain,
sum('#skF_2',n13) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_946]) ).
tff(c_154711,plain,
sum('#skF_2',n12) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_948]) ).
tff(c_154681,plain,
sum('#skF_2',n4) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_964]) ).
tff(c_155024,plain,
( ( n4 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' )
| ( n17 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_143787]) ).
tff(c_155025,plain,
n17 = '#skF_1',
inference(splitLeft,[status(thm)],[c_155024]) ).
tff(c_154717,plain,
sum(n17,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_618]) ).
tff(c_155027,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_155025,c_154717]) ).
tff(c_155071,plain,
sum('#skF_1',n10) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_155025,c_616]) ).
tff(c_154734,plain,
succ('#skF_2') = n10,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_1416]) ).
tff(c_154767,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_154734,c_464]) ).
tff(c_155255,plain,
sum(pred(n6),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_155071,c_154767]) ).
tff(c_155256,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1380,c_155255]) ).
tff(c_155373,plain,
n18 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1114,c_154681,c_1382,c_155027,c_155256]) ).
tff(c_155374,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426,c_155373]) ).
tff(c_155375,plain,
( ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_155024]) ).
tff(c_155377,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_155375]) ).
tff(c_154725,plain,
sum(n4,'#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_1164]) ).
tff(c_155383,plain,
sum('#skF_1','#skF_2') = n13,
inference(demodulation,[status(thm),theory(equality)],[c_155377,c_154725]) ).
tff(c_155385,plain,
sum('#skF_1',n10) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_155377,c_1162]) ).
tff(c_155635,plain,
sum(pred(n14),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_155385,c_154767]) ).
tff(c_155636,plain,
sum(n13,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1364,c_155635]) ).
tff(c_155725,plain,
n13 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_804,c_154711,c_1366,c_155383,c_155636]) ).
tff(c_155726,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_436,c_155725]) ).
tff(c_155727,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_155375]) ).
tff(c_155729,plain,
n16 = '#skF_1',
inference(splitLeft,[status(thm)],[c_155727]) ).
tff(c_155795,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_155729,c_430]) ).
tff(c_155739,plain,
sum(n4,n12) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_155729,c_1158]) ).
tff(c_154732,plain,
sum('#skF_2',n3) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_966]) ).
tff(c_154715,plain,
sum(n16,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_660]) ).
tff(c_155734,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_155729,c_154715]) ).
tff(c_155772,plain,
sum('#skF_1',n10) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_155729,c_658]) ).
tff(c_155931,plain,
sum(pred(n5),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_155772,c_154767]) ).
tff(c_155932,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1382,c_155931]) ).
tff(c_156077,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_155739,c_154732,c_1384,c_155734,c_155932]) ).
tff(c_156078,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_155795,c_156077]) ).
tff(c_156079,plain,
( ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_155727]) ).
tff(c_156081,plain,
n5 = '#skF_1',
inference(splitLeft,[status(thm)],[c_156079]) ).
tff(c_154693,plain,
sum(n5,'#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_1122]) ).
tff(c_156084,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_156081,c_154693]) ).
tff(c_156113,plain,
sum('#skF_1',n10) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_156081,c_1120]) ).
tff(c_156227,plain,
sum(pred(n15),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_156113,c_154767]) ).
tff(c_156228,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1362,c_156227]) ).
tff(c_156429,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_760,c_154691,c_1364,c_156084,c_156228]) ).
tff(c_156430,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_432,c_156429]) ).
tff(c_156431,plain,
( ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( '#skF_2' = '#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_156079]) ).
tff(c_156433,plain,
n15 = '#skF_1',
inference(splitLeft,[status(thm)],[c_156431]) ).
tff(c_154713,plain,
sum(n15,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_702]) ).
tff(c_156436,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_156433,c_154713]) ).
tff(c_156474,plain,
sum('#skF_1',n10) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_156433,c_700]) ).
tff(c_156603,plain,
sum(pred(n4),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_156474,c_154767]) ).
tff(c_156604,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1384,c_156603]) ).
tff(c_156781,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1202,c_154680,c_1386,c_156436,c_156604]) ).
tff(c_156782,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_434,c_156781]) ).
tff(c_156783,plain,
( ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_156431]) ).
tff(c_156785,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_156783]) ).
tff(c_154676,plain,
sum(n6,'#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_1080]) ).
tff(c_156788,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_156785,c_154676]) ).
tff(c_156831,plain,
sum('#skF_1',n10) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_156785,c_1078]) ).
tff(c_157047,plain,
sum(pred(n16),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_156831,c_154767]) ).
tff(c_157048,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1360,c_157047]) ).
tff(c_157133,plain,
n17 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_716,c_154722,c_1362,c_156788,c_157048]) ).
tff(c_157134,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428,c_157133]) ).
tff(c_157135,plain,
( ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_156783]) ).
tff(c_157137,plain,
n14 = '#skF_1',
inference(splitLeft,[status(thm)],[c_157135]) ).
tff(c_154696,plain,
sum(n14,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_744]) ).
tff(c_157141,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_157137,c_154696]) ).
tff(c_157171,plain,
sum('#skF_1',n10) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_157137,c_742]) ).
tff(c_157251,plain,
sum(pred(n3),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_157171,c_154767]) ).
tff(c_157252,plain,
sum(n2,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1386,c_157251]) ).
tff(c_157485,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1246,c_154728,c_1388,c_157141,c_157252]) ).
tff(c_157486,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_438,c_157485]) ).
tff(c_157487,plain,
( ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_157135]) ).
tff(c_157489,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_157487]) ).
tff(c_154701,plain,
sum(n7,'#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_1038]) ).
tff(c_157494,plain,
sum('#skF_1','#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_157489,c_154701]) ).
tff(c_157512,plain,
sum('#skF_1',n10) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_157489,c_1036]) ).
tff(c_157775,plain,
sum(pred(n17),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_157512,c_154767]) ).
tff(c_157776,plain,
sum(n16,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1358,c_157775]) ).
tff(c_157837,plain,
n19 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_672,c_154721,c_1360,c_157494,c_157776]) ).
tff(c_157838,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_424,c_157837]) ).
tff(c_157839,plain,
( ( n8 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_157487]) ).
tff(c_157841,plain,
n13 = '#skF_1',
inference(splitLeft,[status(thm)],[c_157839]) ).
tff(c_154684,plain,
sum(n13,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_786]) ).
tff(c_157844,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_157841,c_154684]) ).
tff(c_157850,plain,
sum('#skF_1',n10) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_157841,c_784]) ).
tff(c_158051,plain,
sum(pred(n2),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_157850,c_154767]) ).
tff(c_158052,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1388,c_158051]) ).
tff(c_158189,plain,
n10 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_154730,c_154679,c_1390,c_157844,c_158052]) ).
tff(c_158190,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_442,c_158189]) ).
tff(c_158191,plain,
( ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_157839]) ).
tff(c_158193,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_158191]) ).
tff(c_154678,plain,
sum(n8,'#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_996]) ).
tff(c_158199,plain,
sum('#skF_1','#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_158193,c_154678]) ).
tff(c_158237,plain,
sum('#skF_1',n10) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_158193,c_994]) ).
tff(c_158423,plain,
sum(pred(n18),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_158237,c_154767]) ).
tff(c_158424,plain,
sum(n17,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1356,c_158423]) ).
tff(c_158541,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_628,c_154692,c_1358,c_158199,c_158424]) ).
tff(c_158542,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_462,c_158541]) ).
tff(c_158543,plain,
( ( '#skF_2' = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_158191]) ).
tff(c_158545,plain,
n12 = '#skF_1',
inference(splitLeft,[status(thm)],[c_158543]) ).
tff(c_154726,plain,
sum(n12,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_828]) ).
tff(c_158548,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_158545,c_154726]) ).
tff(c_158561,plain,
sum('#skF_1',n10) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_158545,c_826]) ).
tff(c_158771,plain,
sum(pred(n1),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_158561,c_154767]) ).
tff(c_158772,plain,
sum(n0,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1390,c_158771]) ).
tff(c_158893,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1334,c_154677,c_1392,c_158548,c_158772]) ).
tff(c_158894,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_446,c_158893]) ).
tff(c_158895,plain,
( ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_158543]) ).
tff(c_158897,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_158895]) ).
tff(c_154686,plain,
sum('#skF_2',n10) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_952]) ).
tff(c_158922,plain,
sum('#skF_1',n10) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_158897,c_154686]) ).
tff(c_154731,plain,
sum('#skF_2',n17) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_938]) ).
tff(c_158951,plain,
sum('#skF_1',n17) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_158897,c_154731]) ).
tff(c_154682,plain,
sum('#skF_2','#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_154673,c_954]) ).
tff(c_158942,plain,
sum('#skF_1','#skF_1') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_158897,c_158897,c_154682]) ).
tff(c_158898,plain,
sum(pred(sum('#skF_1',n10)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_158897,c_158897,c_154767]) ).
tff(c_159249,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_584,c_1354,c_158922,c_158951,c_1356,c_158942,c_158898]) ).
tff(c_159250,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_458,c_159249]) ).
tff(c_159251,plain,
( ( n10 = '#skF_1' )
| ( n11 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_158895]) ).
tff(c_159253,plain,
n11 = '#skF_1',
inference(splitLeft,[status(thm)],[c_159251]) ).
tff(c_154723,plain,
sum(n11,'#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_870]) ).
tff(c_159258,plain,
sum('#skF_1','#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_159253,c_154723]) ).
tff(c_159290,plain,
sum('#skF_1',n10) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_159253,c_868]) ).
tff(c_159543,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_159290,c_154767]) ).
tff(c_159544,plain,
sum(n20,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1392,c_159543]) ).
tff(c_159601,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_496,c_154685,c_1352,c_159258,c_159544]) ).
tff(c_159602,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_450,c_159601]) ).
tff(c_159603,plain,
n10 = '#skF_1',
inference(splitRight,[status(thm)],[c_159251]) ).
tff(c_159657,plain,
sum('#skF_1','#skF_1') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_159603,c_159603,c_910]) ).
tff(c_154674,plain,
sum('#skF_2',n18) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_936]) ).
tff(c_154690,plain,
sum(n10,'#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_154673,c_912]) ).
tff(c_159607,plain,
sum('#skF_1','#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_159603,c_154690]) ).
tff(c_159605,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_159603,c_154767]) ).
tff(c_159951,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_540,c_1352,c_159657,c_154674,c_1354,c_159607,c_159605]) ).
tff(c_159952,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_454,c_159951]) ).
tff(c_159953,plain,
( ( n10 = '#skF_2' )
| ( n11 = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_154671]) ).
tff(c_161195,plain,
n11 = '#skF_2',
inference(splitLeft,[status(thm)],[c_159953]) ).
tff(c_159955,plain,
n17 = '#skF_1',
inference(splitLeft,[status(thm)],[c_143787]) ).
tff(c_159999,plain,
sum('#skF_1',n11) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_159955,c_614]) ).
tff(c_159971,plain,
sum(n7,'#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_159955,c_1022]) ).
tff(c_160062,plain,
n11 = '#skF_2',
inference(splitLeft,[status(thm)],[c_159953]) ).
tff(c_159959,plain,
sum(n11,n6) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_159955,c_876]) ).
tff(c_160462,plain,
sum('#skF_2',n6) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_160062,c_159959]) ).
tff(c_160527,plain,
sum('#skF_1','#skF_2') = n7,
inference(demodulation,[status(thm),theory(equality)],[c_160062,c_159999]) ).
tff(c_160000,plain,
sum('#skF_1',n12) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_159955,c_612]) ).
tff(c_160118,plain,
succ('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_160062,c_1412]) ).
tff(c_160146,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_160118,c_464]) ).
tff(c_160625,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_159971,c_160462,c_1378,c_160527,c_1376,c_160000,c_160146]) ).
tff(c_160626,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_456,c_160625]) ).
tff(c_160627,plain,
n10 = '#skF_2',
inference(splitRight,[status(thm)],[c_159953]) ).
tff(c_160679,plain,
sum('#skF_2',n5) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_160627,c_920]) ).
tff(c_159998,plain,
sum('#skF_1',n10) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_159955,c_616]) ).
tff(c_160938,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_160627,c_159998]) ).
tff(c_160684,plain,
succ('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_160627,c_1414]) ).
tff(c_160716,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_160684,c_464]) ).
tff(c_161191,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1068,c_1378,c_159999,c_160679,c_1380,c_160938,c_160716]) ).
tff(c_161192,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_462,c_161191]) ).
tff(c_161193,plain,
( ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_143787]) ).
tff(c_161546,plain,
( ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_161193]) ).
tff(c_161547,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_161546]) ).
tff(c_161593,plain,
sum(n15,'#skF_1') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_161547,c_712]) ).
tff(c_161248,plain,
sum('#skF_2',n14) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_860]) ).
tff(c_161552,plain,
sum('#skF_2',n14) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_161547,c_161248]) ).
tff(c_161228,plain,
sum(n4,'#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_1160]) ).
tff(c_161551,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_161547,c_161228]) ).
tff(c_161556,plain,
sum('#skF_1',n12) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_161547,c_1158]) ).
tff(c_161256,plain,
succ('#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_1412]) ).
tff(c_161289,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_161256,c_464]) ).
tff(c_161793,plain,
sum(pred(n16),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_161556,c_161289]) ).
tff(c_161794,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1360,c_161793]) ).
tff(c_161895,plain,
n19 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_161593,c_161552,c_1362,c_161551,c_161794]) ).
tff(c_161896,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_424,c_161895]) ).
tff(c_161897,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_161546]) ).
tff(c_161899,plain,
n16 = '#skF_1',
inference(splitLeft,[status(thm)],[c_161897]) ).
tff(c_161928,plain,
sum(n6,'#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_161899,c_1066]) ).
tff(c_161253,plain,
sum('#skF_2',n5) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_878]) ).
tff(c_161904,plain,
sum('#skF_2',n5) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_161899,c_161253]) ).
tff(c_161235,plain,
sum(n16,'#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_656]) ).
tff(c_161901,plain,
sum('#skF_1','#skF_2') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_161899,c_161235]) ).
tff(c_161946,plain,
sum('#skF_1',n12) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_161899,c_654]) ).
tff(c_162117,plain,
sum(pred(n7),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_161946,c_161289]) ).
tff(c_162118,plain,
sum(n6,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1378,c_162117]) ).
tff(c_162247,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_161928,c_161904,c_1380,c_161901,c_162118]) ).
tff(c_162248,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_460,c_162247]) ).
tff(c_162249,plain,
( ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_161897]) ).
tff(c_162251,plain,
n5 = '#skF_1',
inference(splitLeft,[status(thm)],[c_162249]) ).
tff(c_162295,plain,
sum(n16,'#skF_1') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_162251,c_668]) ).
tff(c_161196,plain,
sum('#skF_2',n15) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_858]) ).
tff(c_162252,plain,
sum('#skF_2',n15) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_162251,c_161196]) ).
tff(c_161251,plain,
sum(n5,'#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_1118]) ).
tff(c_162255,plain,
sum('#skF_1','#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_162251,c_161251]) ).
tff(c_162268,plain,
sum('#skF_1',n12) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_162251,c_1116]) ).
tff(c_162505,plain,
sum(pred(n17),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_162268,c_161289]) ).
tff(c_162506,plain,
sum(n16,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1358,c_162505]) ).
tff(c_162599,plain,
n0 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_162295,c_162252,c_1360,c_162255,c_162506]) ).
tff(c_162600,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_462,c_162599]) ).
tff(c_162601,plain,
( ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_162249]) ).
tff(c_162603,plain,
n15 = '#skF_1',
inference(splitLeft,[status(thm)],[c_162601]) ).
tff(c_162614,plain,
sum(n5,'#skF_1') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_162603,c_1110]) ).
tff(c_161205,plain,
sum('#skF_2',n4) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_880]) ).
tff(c_162608,plain,
sum('#skF_2',n4) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_162603,c_161205]) ).
tff(c_161233,plain,
sum(n15,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_698]) ).
tff(c_162605,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_162603,c_161233]) ).
tff(c_162646,plain,
sum('#skF_1',n12) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_162603,c_696]) ).
tff(c_162805,plain,
sum(pred(n6),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_162646,c_161289]) ).
tff(c_162806,plain,
sum(n5,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1380,c_162805]) ).
tff(c_162951,plain,
n20 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_162614,c_162608,c_1382,c_162605,c_162806]) ).
tff(c_162952,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422,c_162951]) ).
tff(c_162953,plain,
( ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_162601]) ).
tff(c_162955,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_162953]) ).
tff(c_163006,plain,
sum(n17,'#skF_1') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_162955,c_624]) ).
tff(c_161206,plain,
sum('#skF_2',n16) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_856]) ).
tff(c_162959,plain,
sum('#skF_2',n16) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_162955,c_161206]) ).
tff(c_161222,plain,
sum(n6,'#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_1076]) ).
tff(c_162956,plain,
sum('#skF_1','#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_162955,c_161222]) ).
tff(c_162988,plain,
sum('#skF_1',n12) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_162955,c_1074]) ).
tff(c_163097,plain,
sum(pred(n18),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_162988,c_161289]) ).
tff(c_163098,plain,
sum(n17,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1356,c_163097]) ).
tff(c_163303,plain,
n2 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_163006,c_162959,c_1358,c_162956,c_163098]) ).
tff(c_163304,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_458,c_163303]) ).
tff(c_163305,plain,
( ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_162953]) ).
tff(c_163307,plain,
n14 = '#skF_1',
inference(splitLeft,[status(thm)],[c_163305]) ).
tff(c_163339,plain,
sum(n4,'#skF_1') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_163307,c_1154]) ).
tff(c_161252,plain,
sum('#skF_2',n3) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_882]) ).
tff(c_163313,plain,
sum('#skF_2',n3) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_163307,c_161252]) ).
tff(c_161203,plain,
sum(n14,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_740]) ).
tff(c_163312,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_163307,c_161203]) ).
tff(c_163320,plain,
sum('#skF_1',n12) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_163307,c_738]) ).
tff(c_163425,plain,
sum(pred(n5),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_163320,c_161289]) ).
tff(c_163426,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1382,c_163425]) ).
tff(c_163655,plain,
n18 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_163339,c_163313,c_1384,c_163312,c_163426]) ).
tff(c_163656,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426,c_163655]) ).
tff(c_163657,plain,
( ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_163305]) ).
tff(c_163659,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_163657]) ).
tff(c_163716,plain,
sum(n18,'#skF_1') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_163659,c_580]) ).
tff(c_161255,plain,
sum('#skF_2',n17) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_854]) ).
tff(c_163665,plain,
sum('#skF_2',n17) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_163659,c_161255]) ).
tff(c_161214,plain,
sum(n7,'#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_1034]) ).
tff(c_163663,plain,
sum('#skF_1','#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_163659,c_161214]) ).
tff(c_163687,plain,
sum('#skF_1',n12) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_163659,c_1032]) ).
tff(c_163905,plain,
sum(pred(n19),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_163687,c_161289]) ).
tff(c_163906,plain,
sum(n18,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1354,c_163905]) ).
tff(c_164007,plain,
n4 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_163716,c_163665,c_1356,c_163663,c_163906]) ).
tff(c_164008,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_454,c_164007]) ).
tff(c_164009,plain,
( ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_163657]) ).
tff(c_164011,plain,
n13 = '#skF_1',
inference(splitLeft,[status(thm)],[c_164009]) ).
tff(c_164032,plain,
sum(n3,'#skF_1') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_164011,c_1198]) ).
tff(c_161197,plain,
sum('#skF_2',n2) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_884]) ).
tff(c_164016,plain,
sum('#skF_2',n2) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_164011,c_161197]) ).
tff(c_161204,plain,
sum(n13,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_782]) ).
tff(c_164015,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_164011,c_161204]) ).
tff(c_164028,plain,
sum('#skF_1',n12) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_164011,c_780]) ).
tff(c_164261,plain,
sum(pred(n4),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_164028,c_161289]) ).
tff(c_164262,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1384,c_164261]) ).
tff(c_164359,plain,
n16 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_164032,c_164016,c_1386,c_164015,c_164262]) ).
tff(c_164360,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430,c_164359]) ).
tff(c_164361,plain,
( ( n12 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_164009]) ).
tff(c_164363,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_164361]) ).
tff(c_164383,plain,
sum(n19,'#skF_1') = n6,
inference(demodulation,[status(thm),theory(equality)],[c_164363,c_536]) ).
tff(c_161227,plain,
sum('#skF_2',n18) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_852]) ).
tff(c_164369,plain,
sum('#skF_2',n18) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_164363,c_161227]) ).
tff(c_161254,plain,
sum(n8,'#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_992]) ).
tff(c_164367,plain,
sum('#skF_1','#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_164363,c_161254]) ).
tff(c_164390,plain,
sum('#skF_1',n12) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_164363,c_990]) ).
tff(c_164505,plain,
sum(pred(n20),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_164390,c_161289]) ).
tff(c_164506,plain,
sum(n19,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1352,c_164505]) ).
tff(c_164711,plain,
n6 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_164383,c_164369,c_1354,c_164367,c_164506]) ).
tff(c_164712,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_450,c_164711]) ).
tff(c_164713,plain,
( ( n9 = '#skF_1' )
| ( n10 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n12 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_164361]) ).
tff(c_164715,plain,
n12 = '#skF_1',
inference(splitLeft,[status(thm)],[c_164713]) ).
tff(c_164778,plain,
sum(n2,'#skF_1') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_164715,c_1242]) ).
tff(c_161198,plain,
sum('#skF_2',n1) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_886]) ).
tff(c_164720,plain,
sum('#skF_2',n1) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_164715,c_161198]) ).
tff(c_161220,plain,
sum(n12,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_824]) ).
tff(c_164719,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_164715,c_161220]) ).
tff(c_164732,plain,
sum('#skF_1','#skF_1') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_164715,c_164715,c_822]) ).
tff(c_164716,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_164715,c_161289]) ).
tff(c_165062,plain,
n14 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_164778,c_164720,c_1388,c_164719,c_1386,c_164732,c_164716]) ).
tff(c_165063,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_434,c_165062]) ).
tff(c_165064,plain,
( ( '#skF_2' = '#skF_1' )
| ( n10 = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_164713]) ).
tff(c_165066,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_165064]) ).
tff(c_165092,plain,
sum(n20,'#skF_1') = n8,
inference(demodulation,[status(thm),theory(equality)],[c_165066,c_492]) ).
tff(c_161208,plain,
sum('#skF_2',n19) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_850]) ).
tff(c_165071,plain,
sum('#skF_2',n19) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_165066,c_161208]) ).
tff(c_161211,plain,
sum(n9,'#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_950]) ).
tff(c_165068,plain,
sum('#skF_1','#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_165066,c_161211]) ).
tff(c_165107,plain,
sum('#skF_1',n12) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_165066,c_948]) ).
tff(c_165316,plain,
sum(pred(n0),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_165107,c_161289]) ).
tff(c_165317,plain,
sum(n20,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1392,c_165316]) ).
tff(c_165414,plain,
n8 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_165092,c_165071,c_1352,c_165068,c_165317]) ).
tff(c_165415,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_446,c_165414]) ).
tff(c_165416,plain,
( ( n10 = '#skF_1' )
| ( '#skF_2' = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_165064]) ).
tff(c_165418,plain,
'#skF_2' = '#skF_1',
inference(splitLeft,[status(thm)],[c_165416]) ).
tff(c_161232,plain,
sum(n1,'#skF_2') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_1286]) ).
tff(c_165423,plain,
sum(n1,'#skF_1') = n12,
inference(demodulation,[status(thm),theory(equality)],[c_165418,c_161232]) ).
tff(c_161243,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_161195,c_888]) ).
tff(c_165431,plain,
sum('#skF_1',n0) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_165418,c_165418,c_161243]) ).
tff(c_161240,plain,
sum('#skF_2','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_161195,c_866]) ).
tff(c_165456,plain,
sum('#skF_1','#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_165418,c_165418,c_161240]) ).
tff(c_161230,plain,
sum('#skF_2',n12) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_864]) ).
tff(c_165421,plain,
sum('#skF_1',n12) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_165418,c_161230]) ).
tff(c_165419,plain,
sum(pred(sum('#skF_1',n12)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_165418,c_165418,c_161289]) ).
tff(c_165770,plain,
n12 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_165423,c_165431,c_1390,c_165456,c_1388,c_165421,c_165419]) ).
tff(c_165771,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_438,c_165770]) ).
tff(c_165772,plain,
n10 = '#skF_1',
inference(splitRight,[status(thm)],[c_165416]) ).
tff(c_165839,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_165772,c_442]) ).
tff(c_165807,plain,
sum(n0,'#skF_1') = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_165772,c_165772,c_1330]) ).
tff(c_165817,plain,
sum('#skF_1',n12) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_165772,c_906]) ).
tff(c_161247,plain,
sum('#skF_2',n20) = n10,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_848]) ).
tff(c_165778,plain,
sum('#skF_2',n20) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_165772,c_161247]) ).
tff(c_161226,plain,
sum(n10,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_161195,c_908]) ).
tff(c_165779,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_165772,c_161226]) ).
tff(c_165959,plain,
sum(pred(sum('#skF_1',n12)),sum('#skF_2',pred(n0))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_165779,c_161289]) ).
tff(c_165960,plain,
sum(pred(sum('#skF_1',n12)),'#skF_1') = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_165778,c_1392,c_165959]) ).
tff(c_166121,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_165807,c_1390,c_165817,c_165960]) ).
tff(c_166122,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_165839,c_166121]) ).
tff(c_166123,plain,
n10 = '#skF_2',
inference(splitRight,[status(thm)],[c_159953]) ).
tff(c_166132,plain,
sum(n1,'#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_1288]) ).
tff(c_166176,plain,
sum('#skF_2',n0) = '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_166123,c_930]) ).
tff(c_166140,plain,
sum('#skF_2',n17) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_896]) ).
tff(c_166178,plain,
sum('#skF_2',n2) = n12,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_926]) ).
tff(c_166155,plain,
sum('#skF_2',n15) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_900]) ).
tff(c_166169,plain,
sum('#skF_2',n3) = n13,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_924]) ).
tff(c_166133,plain,
sum('#skF_2',n14) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_902]) ).
tff(c_166181,plain,
sum('#skF_2',n13) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_904]) ).
tff(c_166475,plain,
( ( n16 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' )
| ( n4 = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_161193]) ).
tff(c_166476,plain,
n4 = '#skF_1',
inference(splitLeft,[status(thm)],[c_166475]) ).
tff(c_166127,plain,
sum(n4,'#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_1162]) ).
tff(c_166482,plain,
sum('#skF_1','#skF_2') = n14,
inference(demodulation,[status(thm),theory(equality)],[c_166476,c_166127]) ).
tff(c_166520,plain,
sum('#skF_1',n11) = n15,
inference(demodulation,[status(thm),theory(equality)],[c_166476,c_1160]) ).
tff(c_166185,plain,
succ('#skF_2') = n11,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_1414]) ).
tff(c_166222,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_166185,c_464]) ).
tff(c_166682,plain,
sum(pred(n15),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_166520,c_166222]) ).
tff(c_166683,plain,
sum(n14,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1362,c_166682]) ).
tff(c_166824,plain,
n16 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_758,c_166181,c_1364,c_166482,c_166683]) ).
tff(c_166825,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_430,c_166824]) ).
tff(c_166826,plain,
( ( n5 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' )
| ( n16 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_166475]) ).
tff(c_166828,plain,
n16 = '#skF_1',
inference(splitLeft,[status(thm)],[c_166826]) ).
tff(c_166872,plain,
sum('#skF_1',n11) = n6,
inference(demodulation,[status(thm),theory(equality)],[c_166828,c_656]) ).
tff(c_166179,plain,
sum('#skF_2',n4) = n14,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_922]) ).
tff(c_166163,plain,
sum(n16,'#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_658]) ).
tff(c_166831,plain,
sum('#skF_1','#skF_2') = n5,
inference(demodulation,[status(thm),theory(equality)],[c_166828,c_166163]) ).
tff(c_166946,plain,
sum(pred(sum('#skF_1',n11)),sum('#skF_2',pred(n5))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_166831,c_166222]) ).
tff(c_166947,plain,
sum(pred(sum('#skF_1',n11)),n14) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_166179,c_1382,c_166946]) ).
tff(c_167176,plain,
n19 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1112,c_1380,c_166872,c_166947]) ).
tff(c_167177,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_424,c_167176]) ).
tff(c_167178,plain,
( ( n15 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' )
| ( n5 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_166826]) ).
tff(c_167180,plain,
n5 = '#skF_1',
inference(splitLeft,[status(thm)],[c_167178]) ).
tff(c_166151,plain,
sum(n5,'#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_1120]) ).
tff(c_167181,plain,
sum('#skF_1','#skF_2') = n15,
inference(demodulation,[status(thm),theory(equality)],[c_167180,c_166151]) ).
tff(c_167238,plain,
sum('#skF_1',n11) = n16,
inference(demodulation,[status(thm),theory(equality)],[c_167180,c_1118]) ).
tff(c_167314,plain,
sum(pred(n16),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_167238,c_166222]) ).
tff(c_167315,plain,
sum(n15,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1360,c_167314]) ).
tff(c_167528,plain,
n18 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_714,c_166133,c_1362,c_167181,c_167315]) ).
tff(c_167529,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_426,c_167528]) ).
tff(c_167530,plain,
( ( n6 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' )
| ( n15 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_167178]) ).
tff(c_167532,plain,
n15 = '#skF_1',
inference(splitLeft,[status(thm)],[c_167530]) ).
tff(c_166161,plain,
sum(n15,'#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_700]) ).
tff(c_167534,plain,
sum('#skF_1','#skF_2') = n4,
inference(demodulation,[status(thm),theory(equality)],[c_167532,c_166161]) ).
tff(c_167575,plain,
sum('#skF_1',n11) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_167532,c_698]) ).
tff(c_167742,plain,
sum(pred(n5),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_167575,c_166222]) ).
tff(c_167743,plain,
sum(n4,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1382,c_167742]) ).
tff(c_167880,plain,
n17 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1156,c_166169,c_1384,c_167534,c_167743]) ).
tff(c_167881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_428,c_167880]) ).
tff(c_167882,plain,
( ( n14 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' )
| ( n6 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_167530]) ).
tff(c_167884,plain,
n6 = '#skF_1',
inference(splitLeft,[status(thm)],[c_167882]) ).
tff(c_166160,plain,
sum(n6,'#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_1078]) ).
tff(c_167886,plain,
sum('#skF_1','#skF_2') = n16,
inference(demodulation,[status(thm),theory(equality)],[c_167884,c_166160]) ).
tff(c_167917,plain,
sum('#skF_1',n11) = n17,
inference(demodulation,[status(thm),theory(equality)],[c_167884,c_1076]) ).
tff(c_168082,plain,
sum(pred(n17),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_167917,c_166222]) ).
tff(c_168083,plain,
sum(n16,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1358,c_168082]) ).
tff(c_168232,plain,
n20 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_670,c_166155,c_1360,c_167886,c_168083]) ).
tff(c_168233,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_422,c_168232]) ).
tff(c_168234,plain,
( ( n7 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' )
| ( n14 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_167882]) ).
tff(c_168236,plain,
n14 = '#skF_1',
inference(splitLeft,[status(thm)],[c_168234]) ).
tff(c_166147,plain,
sum(n14,'#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_742]) ).
tff(c_168237,plain,
sum('#skF_1','#skF_2') = n3,
inference(demodulation,[status(thm),theory(equality)],[c_168236,c_166147]) ).
tff(c_168252,plain,
sum('#skF_1',n11) = n4,
inference(demodulation,[status(thm),theory(equality)],[c_168236,c_740]) ).
tff(c_168342,plain,
sum(pred(n4),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_168252,c_166222]) ).
tff(c_168343,plain,
sum(n3,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1384,c_168342]) ).
tff(c_168584,plain,
n15 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1200,c_166178,c_1386,c_168237,c_168343]) ).
tff(c_168585,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_432,c_168584]) ).
tff(c_168586,plain,
( ( n13 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' )
| ( n7 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_168234]) ).
tff(c_168588,plain,
n7 = '#skF_1',
inference(splitLeft,[status(thm)],[c_168586]) ).
tff(c_168614,plain,
sum('#skF_1',n11) = n18,
inference(demodulation,[status(thm),theory(equality)],[c_168588,c_1034]) ).
tff(c_166129,plain,
sum('#skF_2',n16) = n5,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_898]) ).
tff(c_166143,plain,
sum(n7,'#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_1036]) ).
tff(c_168590,plain,
sum('#skF_1','#skF_2') = n17,
inference(demodulation,[status(thm),theory(equality)],[c_168588,c_166143]) ).
tff(c_168702,plain,
sum(pred(sum('#skF_1',n11)),sum('#skF_2',pred(n17))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_168590,c_166222]) ).
tff(c_168703,plain,
sum(pred(sum('#skF_1',n11)),n5) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_166129,c_1358,c_168702]) ).
tff(c_168936,plain,
n1 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_626,c_1356,c_168614,c_168703]) ).
tff(c_168937,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_460,c_168936]) ).
tff(c_168938,plain,
( ( n8 = '#skF_1' )
| ( n9 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' )
| ( n13 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_168586]) ).
tff(c_168940,plain,
n13 = '#skF_1',
inference(splitLeft,[status(thm)],[c_168938]) ).
tff(c_169006,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_168940,c_436]) ).
tff(c_168965,plain,
sum(n2,n11) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_168940,c_1244]) ).
tff(c_168957,plain,
sum('#skF_1',n11) = n3,
inference(demodulation,[status(thm),theory(equality)],[c_168940,c_782]) ).
tff(c_166148,plain,
sum('#skF_2',n1) = n11,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_928]) ).
tff(c_166126,plain,
sum(n13,'#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_784]) ).
tff(c_168942,plain,
sum('#skF_1','#skF_2') = n2,
inference(demodulation,[status(thm),theory(equality)],[c_168940,c_166126]) ).
tff(c_169158,plain,
sum(pred(sum('#skF_1',n11)),sum('#skF_2',pred(n2))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_168942,c_166222]) ).
tff(c_169159,plain,
sum(pred(sum('#skF_1',n11)),n11) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_166148,c_1388,c_169158]) ).
tff(c_169288,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_168965,c_1386,c_168957,c_169159]) ).
tff(c_169289,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_169006,c_169288]) ).
tff(c_169290,plain,
( ( n12 = '#skF_1' )
| ( n11 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n9 = '#skF_1' )
| ( n8 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_168938]) ).
tff(c_169292,plain,
n8 = '#skF_1',
inference(splitLeft,[status(thm)],[c_169290]) ).
tff(c_166157,plain,
sum(n8,'#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_994]) ).
tff(c_169293,plain,
sum('#skF_1','#skF_2') = n18,
inference(demodulation,[status(thm),theory(equality)],[c_169292,c_166157]) ).
tff(c_169352,plain,
sum('#skF_1',n11) = n19,
inference(demodulation,[status(thm),theory(equality)],[c_169292,c_992]) ).
tff(c_169410,plain,
sum(pred(n19),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_169352,c_166222]) ).
tff(c_169411,plain,
sum(n18,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1354,c_169410]) ).
tff(c_169640,plain,
n3 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_582,c_166140,c_1356,c_169293,c_169411]) ).
tff(c_169641,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_456,c_169640]) ).
tff(c_169642,plain,
( ( n9 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n11 = '#skF_1' )
| ( n12 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_169290]) ).
tff(c_169644,plain,
n12 = '#skF_1',
inference(splitLeft,[status(thm)],[c_169642]) ).
tff(c_166135,plain,
sum(n12,'#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_826]) ).
tff(c_169645,plain,
sum('#skF_1','#skF_2') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_169644,c_166135]) ).
tff(c_169677,plain,
sum('#skF_1',n11) = n2,
inference(demodulation,[status(thm),theory(equality)],[c_169644,c_824]) ).
tff(c_169842,plain,
sum(pred(n2),sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_169677,c_166222]) ).
tff(c_169843,plain,
sum(n1,sum('#skF_2',pred(sum('#skF_1','#skF_2')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1388,c_169842]) ).
tff(c_169992,plain,
n11 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_166132,c_166176,c_1390,c_169645,c_169843]) ).
tff(c_169993,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_440,c_169992]) ).
tff(c_169994,plain,
( ( n11 = '#skF_1' )
| ( '#skF_2' = '#skF_1' )
| ( n9 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_169642]) ).
tff(c_169996,plain,
n9 = '#skF_1',
inference(splitLeft,[status(thm)],[c_169994]) ).
tff(c_170024,plain,
sum('#skF_1',n11) = n20,
inference(demodulation,[status(thm),theory(equality)],[c_169996,c_950]) ).
tff(c_166183,plain,
sum('#skF_2',n18) = n7,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_894]) ).
tff(c_166138,plain,
sum(n9,'#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_952]) ).
tff(c_169999,plain,
sum('#skF_1','#skF_2') = n19,
inference(demodulation,[status(thm),theory(equality)],[c_169996,c_166138]) ).
tff(c_170190,plain,
sum(pred(sum('#skF_1',n11)),sum('#skF_2',pred(n19))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_169999,c_166222]) ).
tff(c_170191,plain,
sum(pred(sum('#skF_1',n11)),n7) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_166183,c_1354,c_170190]) ).
tff(c_170344,plain,
n5 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_538,c_1352,c_170024,c_170191]) ).
tff(c_170345,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_452,c_170344]) ).
tff(c_170346,plain,
( ( '#skF_2' = '#skF_1' )
| ( n11 = '#skF_1' ) ),
inference(splitRight,[status(thm)],[c_169994]) ).
tff(c_170348,plain,
n11 = '#skF_1',
inference(splitLeft,[status(thm)],[c_170346]) ).
tff(c_170398,plain,
sum('#skF_1','#skF_1') = n1,
inference(demodulation,[status(thm),theory(equality)],[c_170348,c_170348,c_866]) ).
tff(c_166149,plain,
sum('#skF_2',n20) = n9,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_890]) ).
tff(c_166159,plain,
sum(n11,'#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_868]) ).
tff(c_170350,plain,
sum('#skF_1','#skF_2') = n0,
inference(demodulation,[status(thm),theory(equality)],[c_170348,c_166159]) ).
tff(c_170349,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_170348,c_166222]) ).
tff(c_170695,plain,
n9 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_1332,c_1390,c_170398,c_166149,c_1392,c_170350,c_170349]) ).
tff(c_170696,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_444,c_170695]) ).
tff(c_170697,plain,
'#skF_2' = '#skF_1',
inference(splitRight,[status(thm)],[c_170346]) ).
tff(c_166156,plain,
sum('#skF_2',n11) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_908]) ).
tff(c_170719,plain,
sum('#skF_1',n11) = n0,
inference(demodulation,[status(thm),theory(equality)],[c_170697,c_166156]) ).
tff(c_166173,plain,
sum('#skF_2',n19) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_892]) ).
tff(c_170743,plain,
sum('#skF_1',n19) = n8,
inference(demodulation,[status(thm),theory(equality)],[c_170697,c_166173]) ).
tff(c_166171,plain,
sum('#skF_2','#skF_2') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_166123,c_166123,c_910]) ).
tff(c_170740,plain,
sum('#skF_1','#skF_1') = n20,
inference(demodulation,[status(thm),theory(equality)],[c_170697,c_170697,c_166171]) ).
tff(c_170699,plain,
sum(pred(sum('#skF_1',n11)),sum('#skF_1',pred(sum('#skF_1','#skF_1')))) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_170697,c_170697,c_166222]) ).
tff(c_171050,plain,
n7 = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_494,c_1392,c_170719,c_170743,c_1352,c_170740,c_170699]) ).
tff(c_171051,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_448,c_171050]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM375+1.020 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12 % 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
% 0.16/0.34 % Computer : n027.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Thu Aug 3 14:49:38 EDT 2023
% 0.16/0.34 % CPUTime :
% 209.32/188.69 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 211.97/191.01
% 211.97/191.01 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 212.53/191.19
% 212.53/191.19 Inference rules
% 212.53/191.19 ----------------------
% 212.53/191.19 #Ref : 0
% 212.53/191.19 #Sup : 63066
% 212.53/191.19 #Fact : 0
% 212.53/191.19 #Define : 0
% 212.53/191.19 #Split : 440
% 212.53/191.19 #Chain : 0
% 212.53/191.19 #Close : 0
% 212.53/191.19
% 212.53/191.19 Ordering : KBO
% 212.53/191.19
% 212.53/191.19 Simplification rules
% 212.53/191.19 ----------------------
% 212.53/191.19 #Subsume : 5710
% 212.53/191.19 #Demod : 44680
% 212.53/191.19 #Tautology : 63066
% 212.53/191.19 #SimpNegUnit : 441
% 212.53/191.19 #BackRed : 40746
% 212.53/191.19
% 212.53/191.19 #Partial instantiations: 0
% 212.53/191.19 #Strategies tried : 1
% 212.53/191.19
% 212.53/191.19 Timing (in seconds)
% 212.53/191.19 ----------------------
% 212.53/191.19 Preprocessing : 0.95
% 212.53/191.19 Parsing : 0.49
% 212.53/191.19 CNF conversion : 0.08
% 212.53/191.19 Main loop : 186.69
% 212.53/191.19 Inferencing : 56.62
% 212.53/191.19 Reduction : 80.51
% 212.53/191.19 Demodulation : 58.66
% 212.53/191.19 BG Simplification : 0.20
% 212.53/191.19 Subsumption : 39.44
% 212.53/191.19 Abstraction : 0.99
% 212.53/191.19 MUC search : 0.00
% 212.53/191.19 Cooper : 0.00
% 212.53/191.19 Total : 190.14
% 212.53/191.19 Index Insertion : 0.00
% 212.53/191.19 Index Deletion : 0.00
% 212.53/191.19 Index Matching : 0.00
% 212.53/191.19 BG Taut test : 0.00
%------------------------------------------------------------------------------