TSTP Solution File: NUM375+1.020 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : NUM375+1.020 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n019.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 : Fri May 19 11:40:23 EDT 2023
% Result : Unsatisfiable 143.55s 137.27s
% Output : Refutation 143.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 25
% Syntax : Number of formulae : 27 ( 1 unt; 24 typ; 0 def)
% Number of atoms : 1515 (1514 equ; 0 cnn)
% Maximal formula atoms : 757 ( 505 avg)
% Number of connectives : 3844 ( 462 ~; 80 |;1432 &;1870 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 721 ( 481 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 24 usr; 22 con; 0-2 aty)
% Number of variables : 6 ( 0 ^; 0 !; 6 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(succ_type,type,
succ: $i > $i ).
thf(n0_type,type,
n0: $i ).
thf(n1_type,type,
n1: $i ).
thf(n2_type,type,
n2: $i ).
thf(n3_type,type,
n3: $i ).
thf(n4_type,type,
n4: $i ).
thf(n5_type,type,
n5: $i ).
thf(n6_type,type,
n6: $i ).
thf(n7_type,type,
n7: $i ).
thf(n8_type,type,
n8: $i ).
thf(n9_type,type,
n9: $i ).
thf(n10_type,type,
n10: $i ).
thf(n11_type,type,
n11: $i ).
thf(n12_type,type,
n12: $i ).
thf(n13_type,type,
n13: $i ).
thf(n14_type,type,
n14: $i ).
thf(n15_type,type,
n15: $i ).
thf(n16_type,type,
n16: $i ).
thf(n17_type,type,
n17: $i ).
thf(n18_type,type,
n18: $i ).
thf(n19_type,type,
n19: $i ).
thf(n20_type,type,
n20: $i ).
thf(pred_type,type,
pred: $i > $i ).
thf(sum_type,type,
sum: $i > $i > $i ).
thf(1,axiom,
? [A: $i,B: $i,C: $i] :
( ( ( 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 )
& ( ( A = n0 )
| ( A = n1 )
| ( A = n2 )
| ( A = n3 )
| ( A = n4 )
| ( A = n5 )
| ( A = n6 )
| ( A = n7 )
| ( A = n8 )
| ( A = n9 )
| ( A = n10 )
| ( A = n11 )
| ( A = n12 )
| ( A = n13 )
| ( A = n14 )
| ( A = n15 )
| ( A = n16 )
| ( A = n17 )
| ( A = n18 )
| ( A = n19 )
| ( A = n20 ) )
& ( ( B = n0 )
| ( B = n1 )
| ( B = n2 )
| ( B = n3 )
| ( B = n4 )
| ( B = n5 )
| ( B = n6 )
| ( B = n7 )
| ( B = n8 )
| ( B = n9 )
| ( B = n10 )
| ( B = n11 )
| ( B = n12 )
| ( B = n13 )
| ( B = n14 )
| ( B = n15 )
| ( B = n16 )
| ( B = n17 )
| ( B = n18 )
| ( B = n19 )
| ( B = n20 ) )
& ( C
= ( sum @ ( pred @ ( sum @ A @ ( succ @ B ) ) ) @ ( sum @ B @ ( pred @ ( sum @ A @ B ) ) ) ) )
& ( C != n0 )
& ( C != n1 )
& ( C != n2 )
& ( C != n3 )
& ( C != n4 )
& ( C != n5 )
& ( C != n6 )
& ( C != n7 )
& ( C != n8 )
& ( C != n9 )
& ( C != n10 )
& ( C != n11 )
& ( C != n12 )
& ( C != n13 )
& ( C != n14 )
& ( C != n15 )
& ( C != n16 )
& ( C != n17 )
& ( C != n18 )
& ( C != n19 )
& ( C != 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) ).
thf(2,plain,
? [A: $i,B: $i,C: $i] :
( ( ( 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 )
& ( ( A = n0 )
| ( A = n1 )
| ( A = n2 )
| ( A = n3 )
| ( A = n4 )
| ( A = n5 )
| ( A = n6 )
| ( A = n7 )
| ( A = n8 )
| ( A = n9 )
| ( A = n10 )
| ( A = n11 )
| ( A = n12 )
| ( A = n13 )
| ( A = n14 )
| ( A = n15 )
| ( A = n16 )
| ( A = n17 )
| ( A = n18 )
| ( A = n19 )
| ( A = n20 ) )
& ( ( B = n0 )
| ( B = n1 )
| ( B = n2 )
| ( B = n3 )
| ( B = n4 )
| ( B = n5 )
| ( B = n6 )
| ( B = n7 )
| ( B = n8 )
| ( B = n9 )
| ( B = n10 )
| ( B = n11 )
| ( B = n12 )
| ( B = n13 )
| ( B = n14 )
| ( B = n15 )
| ( B = n16 )
| ( B = n17 )
| ( B = n18 )
| ( B = n19 )
| ( B = n20 ) )
& ( C
= ( sum @ ( pred @ ( sum @ A @ ( succ @ B ) ) ) @ ( sum @ B @ ( pred @ ( sum @ A @ B ) ) ) ) )
& ( C != n0 )
& ( C != n1 )
& ( C != n2 )
& ( C != n3 )
& ( C != n4 )
& ( C != n5 )
& ( C != n6 )
& ( C != n7 )
& ( C != n8 )
& ( C != n9 )
& ( C != n10 )
& ( C != n11 )
& ( C != n12 )
& ( C != n13 )
& ( C != n14 )
& ( C != n15 )
& ( C != n16 )
& ( C != n17 )
& ( C != n18 )
& ( C != n19 )
& ( C != 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 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(1438,plain,
$false,
inference(e,[status(thm)],[2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM375+1.020 : TPTP v8.1.2. Released v3.2.0.
% 0.15/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 18 16:38:43 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.94/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.28/1.02 % [INFO] Parsing done (174ms).
% 1.59/1.03 % [INFO] Running in sequential loop mode.
% 1.84/1.23 % [INFO] eprover registered as external prover.
% 1.96/1.23 % [INFO] cvc4 registered as external prover.
% 1.96/1.23 % [INFO] Scanning for conjecture ...
% 2.01/1.30 % [INFO] 1 axioms and no conjecture found.
% 4.12/2.73 % [INFO] Problem is first-order (TPTP FOF).
% 4.17/2.75 % [INFO] Type checking passed.
% 4.17/2.75 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 143.55/137.26 % External prover 'e' found a proof!
% 143.55/137.27 % [INFO] Killing All external provers ...
% 143.55/137.27 % Time passed: 136749ms (effective reasoning time: 136233ms)
% 143.55/137.27 % Axioms used in derivation (1): try_satisfy_this
% 143.55/137.27 % No. of inferences in proof: 3
% 143.55/137.27 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 136749 ms resp. 136233 ms w/o parsing
% 143.81/137.38 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 143.81/137.38 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------