TSTP Solution File: NUM377+1.015 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : NUM377+1.015 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n023.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 11:40:24 EDT 2023
% Result : Unsatisfiable 57.22s 51.82s
% Output : Refutation 57.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 20
% Syntax : Number of formulae : 22 ( 1 unt; 19 typ; 0 def)
% Number of atoms : 971 ( 970 equ; 0 cnn)
% Maximal formula atoms : 485 ( 323 avg)
% Number of connectives : 2926 ( 270 ~; 88 |; 880 &;1688 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 474 ( 316 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 17 con; 0-2 aty)
% Number of variables : 64 ( 0 ^; 0 !; 64 ?; 64 :)
% 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(pred_type,type,
pred: $i > $i ).
thf(sum_type,type,
sum: $i > $i > $i ).
thf(1,axiom,
? [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i,T: $i,U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i,ZA: $i,ZB: $i,ZC: $i,ZD: $i,ZE: $i,ZF: $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 )
= n0 )
& ( ( pred @ n0 )
= n15 )
& ( ( pred @ n1 )
= n0 )
& ( ( pred @ n2 )
= n1 )
& ( ( pred @ n3 )
= n2 )
& ( ( pred @ n4 )
= n3 )
& ( ( pred @ n5 )
= n4 )
& ( ( pred @ n6 )
= n5 )
& ( ( pred @ n7 )
= n6 )
& ( ( pred @ n8 )
= n7 )
& ( ( pred @ n9 )
= n8 )
& ( ( pred @ n10 )
= n9 )
& ( ( pred @ n11 )
= n10 )
& ( ( pred @ n12 )
= n11 )
& ( ( pred @ n13 )
= n12 )
& ( ( pred @ n14 )
= n13 )
& ( ( pred @ n15 )
= n14 )
& ( ( sum @ n0 @ n0 )
= n0 )
& ( ( sum @ n0 @ n1 )
= n1 )
& ( ( sum @ n0 @ n2 )
= n2 )
& ( ( sum @ n0 @ n3 )
= n3 )
& ( ( sum @ n0 @ n4 )
= n4 )
& ( ( sum @ n0 @ n5 )
= n5 )
& ( ( sum @ n0 @ n6 )
= n6 )
& ( ( sum @ n0 @ n7 )
= n7 )
& ( ( sum @ n0 @ n8 )
= n8 )
& ( ( sum @ n0 @ n9 )
= n9 )
& ( ( sum @ n0 @ n10 )
= n10 )
& ( ( sum @ n0 @ n11 )
= n11 )
& ( ( sum @ n0 @ n12 )
= n12 )
& ( ( sum @ n0 @ n13 )
= n13 )
& ( ( sum @ n0 @ n14 )
= n14 )
& ( ( sum @ n0 @ n15 )
= n15 )
& ( ( sum @ n1 @ n0 )
= n1 )
& ( ( sum @ n1 @ n1 )
= n2 )
& ( ( sum @ n1 @ n2 )
= n3 )
& ( ( sum @ n1 @ n3 )
= n4 )
& ( ( sum @ n1 @ n4 )
= n5 )
& ( ( sum @ n1 @ n5 )
= n6 )
& ( ( sum @ n1 @ n6 )
= n7 )
& ( ( sum @ n1 @ n7 )
= n8 )
& ( ( sum @ n1 @ n8 )
= n9 )
& ( ( sum @ n1 @ n9 )
= n10 )
& ( ( sum @ n1 @ n10 )
= n11 )
& ( ( sum @ n1 @ n11 )
= n12 )
& ( ( sum @ n1 @ n12 )
= n13 )
& ( ( sum @ n1 @ n13 )
= n14 )
& ( ( sum @ n1 @ n14 )
= n15 )
& ( ( sum @ n1 @ n15 )
= n0 )
& ( ( sum @ n2 @ n0 )
= n2 )
& ( ( sum @ n2 @ n1 )
= n3 )
& ( ( sum @ n2 @ n2 )
= n4 )
& ( ( sum @ n2 @ n3 )
= n5 )
& ( ( sum @ n2 @ n4 )
= n6 )
& ( ( sum @ n2 @ n5 )
= n7 )
& ( ( sum @ n2 @ n6 )
= n8 )
& ( ( sum @ n2 @ n7 )
= n9 )
& ( ( sum @ n2 @ n8 )
= n10 )
& ( ( sum @ n2 @ n9 )
= n11 )
& ( ( sum @ n2 @ n10 )
= n12 )
& ( ( sum @ n2 @ n11 )
= n13 )
& ( ( sum @ n2 @ n12 )
= n14 )
& ( ( sum @ n2 @ n13 )
= n15 )
& ( ( sum @ n2 @ n14 )
= n0 )
& ( ( sum @ n2 @ n15 )
= n1 )
& ( ( sum @ n3 @ n0 )
= n3 )
& ( ( sum @ n3 @ n1 )
= n4 )
& ( ( sum @ n3 @ n2 )
= n5 )
& ( ( sum @ n3 @ n3 )
= n6 )
& ( ( sum @ n3 @ n4 )
= n7 )
& ( ( sum @ n3 @ n5 )
= n8 )
& ( ( sum @ n3 @ n6 )
= n9 )
& ( ( sum @ n3 @ n7 )
= n10 )
& ( ( sum @ n3 @ n8 )
= n11 )
& ( ( sum @ n3 @ n9 )
= n12 )
& ( ( sum @ n3 @ n10 )
= n13 )
& ( ( sum @ n3 @ n11 )
= n14 )
& ( ( sum @ n3 @ n12 )
= n15 )
& ( ( sum @ n3 @ n13 )
= n0 )
& ( ( sum @ n3 @ n14 )
= n1 )
& ( ( sum @ n3 @ n15 )
= n2 )
& ( ( sum @ n4 @ n0 )
= n4 )
& ( ( sum @ n4 @ n1 )
= n5 )
& ( ( sum @ n4 @ n2 )
= n6 )
& ( ( sum @ n4 @ n3 )
= n7 )
& ( ( sum @ n4 @ n4 )
= n8 )
& ( ( sum @ n4 @ n5 )
= n9 )
& ( ( sum @ n4 @ n6 )
= n10 )
& ( ( sum @ n4 @ n7 )
= n11 )
& ( ( sum @ n4 @ n8 )
= n12 )
& ( ( sum @ n4 @ n9 )
= n13 )
& ( ( sum @ n4 @ n10 )
= n14 )
& ( ( sum @ n4 @ n11 )
= n15 )
& ( ( sum @ n4 @ n12 )
= n0 )
& ( ( sum @ n4 @ n13 )
= n1 )
& ( ( sum @ n4 @ n14 )
= n2 )
& ( ( sum @ n4 @ n15 )
= n3 )
& ( ( sum @ n5 @ n0 )
= n5 )
& ( ( sum @ n5 @ n1 )
= n6 )
& ( ( sum @ n5 @ n2 )
= n7 )
& ( ( sum @ n5 @ n3 )
= n8 )
& ( ( sum @ n5 @ n4 )
= n9 )
& ( ( sum @ n5 @ n5 )
= n10 )
& ( ( sum @ n5 @ n6 )
= n11 )
& ( ( sum @ n5 @ n7 )
= n12 )
& ( ( sum @ n5 @ n8 )
= n13 )
& ( ( sum @ n5 @ n9 )
= n14 )
& ( ( sum @ n5 @ n10 )
= n15 )
& ( ( sum @ n5 @ n11 )
= n0 )
& ( ( sum @ n5 @ n12 )
= n1 )
& ( ( sum @ n5 @ n13 )
= n2 )
& ( ( sum @ n5 @ n14 )
= n3 )
& ( ( sum @ n5 @ n15 )
= n4 )
& ( ( sum @ n6 @ n0 )
= n6 )
& ( ( sum @ n6 @ n1 )
= n7 )
& ( ( sum @ n6 @ n2 )
= n8 )
& ( ( sum @ n6 @ n3 )
= n9 )
& ( ( sum @ n6 @ n4 )
= n10 )
& ( ( sum @ n6 @ n5 )
= n11 )
& ( ( sum @ n6 @ n6 )
= n12 )
& ( ( sum @ n6 @ n7 )
= n13 )
& ( ( sum @ n6 @ n8 )
= n14 )
& ( ( sum @ n6 @ n9 )
= n15 )
& ( ( sum @ n6 @ n10 )
= n0 )
& ( ( sum @ n6 @ n11 )
= n1 )
& ( ( sum @ n6 @ n12 )
= n2 )
& ( ( sum @ n6 @ n13 )
= n3 )
& ( ( sum @ n6 @ n14 )
= n4 )
& ( ( sum @ n6 @ n15 )
= n5 )
& ( ( sum @ n7 @ n0 )
= n7 )
& ( ( sum @ n7 @ n1 )
= n8 )
& ( ( sum @ n7 @ n2 )
= n9 )
& ( ( sum @ n7 @ n3 )
= n10 )
& ( ( sum @ n7 @ n4 )
= n11 )
& ( ( sum @ n7 @ n5 )
= n12 )
& ( ( sum @ n7 @ n6 )
= n13 )
& ( ( sum @ n7 @ n7 )
= n14 )
& ( ( sum @ n7 @ n8 )
= n15 )
& ( ( sum @ n7 @ n9 )
= n0 )
& ( ( sum @ n7 @ n10 )
= n1 )
& ( ( sum @ n7 @ n11 )
= n2 )
& ( ( sum @ n7 @ n12 )
= n3 )
& ( ( sum @ n7 @ n13 )
= n4 )
& ( ( sum @ n7 @ n14 )
= n5 )
& ( ( sum @ n7 @ n15 )
= n6 )
& ( ( sum @ n8 @ n0 )
= n8 )
& ( ( sum @ n8 @ n1 )
= n9 )
& ( ( sum @ n8 @ n2 )
= n10 )
& ( ( sum @ n8 @ n3 )
= n11 )
& ( ( sum @ n8 @ n4 )
= n12 )
& ( ( sum @ n8 @ n5 )
= n13 )
& ( ( sum @ n8 @ n6 )
= n14 )
& ( ( sum @ n8 @ n7 )
= n15 )
& ( ( sum @ n8 @ n8 )
= n0 )
& ( ( sum @ n8 @ n9 )
= n1 )
& ( ( sum @ n8 @ n10 )
= n2 )
& ( ( sum @ n8 @ n11 )
= n3 )
& ( ( sum @ n8 @ n12 )
= n4 )
& ( ( sum @ n8 @ n13 )
= n5 )
& ( ( sum @ n8 @ n14 )
= n6 )
& ( ( sum @ n8 @ n15 )
= n7 )
& ( ( sum @ n9 @ n0 )
= n9 )
& ( ( sum @ n9 @ n1 )
= n10 )
& ( ( sum @ n9 @ n2 )
= n11 )
& ( ( sum @ n9 @ n3 )
= n12 )
& ( ( sum @ n9 @ n4 )
= n13 )
& ( ( sum @ n9 @ n5 )
= n14 )
& ( ( sum @ n9 @ n6 )
= n15 )
& ( ( sum @ n9 @ n7 )
= n0 )
& ( ( sum @ n9 @ n8 )
= n1 )
& ( ( sum @ n9 @ n9 )
= n2 )
& ( ( sum @ n9 @ n10 )
= n3 )
& ( ( sum @ n9 @ n11 )
= n4 )
& ( ( sum @ n9 @ n12 )
= n5 )
& ( ( sum @ n9 @ n13 )
= n6 )
& ( ( sum @ n9 @ n14 )
= n7 )
& ( ( sum @ n9 @ n15 )
= n8 )
& ( ( sum @ n10 @ n0 )
= n10 )
& ( ( sum @ n10 @ n1 )
= n11 )
& ( ( sum @ n10 @ n2 )
= n12 )
& ( ( sum @ n10 @ n3 )
= n13 )
& ( ( sum @ n10 @ n4 )
= n14 )
& ( ( sum @ n10 @ n5 )
= n15 )
& ( ( sum @ n10 @ n6 )
= n0 )
& ( ( sum @ n10 @ n7 )
= n1 )
& ( ( sum @ n10 @ n8 )
= n2 )
& ( ( sum @ n10 @ n9 )
= n3 )
& ( ( sum @ n10 @ n10 )
= n4 )
& ( ( sum @ n10 @ n11 )
= n5 )
& ( ( sum @ n10 @ n12 )
= n6 )
& ( ( sum @ n10 @ n13 )
= n7 )
& ( ( sum @ n10 @ n14 )
= n8 )
& ( ( sum @ n10 @ n15 )
= n9 )
& ( ( sum @ n11 @ n0 )
= n11 )
& ( ( sum @ n11 @ n1 )
= n12 )
& ( ( sum @ n11 @ n2 )
= n13 )
& ( ( sum @ n11 @ n3 )
= n14 )
& ( ( sum @ n11 @ n4 )
= n15 )
& ( ( sum @ n11 @ n5 )
= n0 )
& ( ( sum @ n11 @ n6 )
= n1 )
& ( ( sum @ n11 @ n7 )
= n2 )
& ( ( sum @ n11 @ n8 )
= n3 )
& ( ( sum @ n11 @ n9 )
= n4 )
& ( ( sum @ n11 @ n10 )
= n5 )
& ( ( sum @ n11 @ n11 )
= n6 )
& ( ( sum @ n11 @ n12 )
= n7 )
& ( ( sum @ n11 @ n13 )
= n8 )
& ( ( sum @ n11 @ n14 )
= n9 )
& ( ( sum @ n11 @ n15 )
= n10 )
& ( ( sum @ n12 @ n0 )
= n12 )
& ( ( sum @ n12 @ n1 )
= n13 )
& ( ( sum @ n12 @ n2 )
= n14 )
& ( ( sum @ n12 @ n3 )
= n15 )
& ( ( sum @ n12 @ n4 )
= n0 )
& ( ( sum @ n12 @ n5 )
= n1 )
& ( ( sum @ n12 @ n6 )
= n2 )
& ( ( sum @ n12 @ n7 )
= n3 )
& ( ( sum @ n12 @ n8 )
= n4 )
& ( ( sum @ n12 @ n9 )
= n5 )
& ( ( sum @ n12 @ n10 )
= n6 )
& ( ( sum @ n12 @ n11 )
= n7 )
& ( ( sum @ n12 @ n12 )
= n8 )
& ( ( sum @ n12 @ n13 )
= n9 )
& ( ( sum @ n12 @ n14 )
= n10 )
& ( ( sum @ n12 @ n15 )
= n11 )
& ( ( sum @ n13 @ n0 )
= n13 )
& ( ( sum @ n13 @ n1 )
= n14 )
& ( ( sum @ n13 @ n2 )
= n15 )
& ( ( sum @ n13 @ n3 )
= n0 )
& ( ( sum @ n13 @ n4 )
= n1 )
& ( ( sum @ n13 @ n5 )
= n2 )
& ( ( sum @ n13 @ n6 )
= n3 )
& ( ( sum @ n13 @ n7 )
= n4 )
& ( ( sum @ n13 @ n8 )
= n5 )
& ( ( sum @ n13 @ n9 )
= n6 )
& ( ( sum @ n13 @ n10 )
= n7 )
& ( ( sum @ n13 @ n11 )
= n8 )
& ( ( sum @ n13 @ n12 )
= n9 )
& ( ( sum @ n13 @ n13 )
= n10 )
& ( ( sum @ n13 @ n14 )
= n11 )
& ( ( sum @ n13 @ n15 )
= n12 )
& ( ( sum @ n14 @ n0 )
= n14 )
& ( ( sum @ n14 @ n1 )
= n15 )
& ( ( sum @ n14 @ n2 )
= n0 )
& ( ( sum @ n14 @ n3 )
= n1 )
& ( ( sum @ n14 @ n4 )
= n2 )
& ( ( sum @ n14 @ n5 )
= n3 )
& ( ( sum @ n14 @ n6 )
= n4 )
& ( ( sum @ n14 @ n7 )
= n5 )
& ( ( sum @ n14 @ n8 )
= n6 )
& ( ( sum @ n14 @ n9 )
= n7 )
& ( ( sum @ n14 @ n10 )
= n8 )
& ( ( sum @ n14 @ n11 )
= n9 )
& ( ( sum @ n14 @ n12 )
= n10 )
& ( ( sum @ n14 @ n13 )
= n11 )
& ( ( sum @ n14 @ n14 )
= n12 )
& ( ( sum @ n14 @ n15 )
= n13 )
& ( ( sum @ n15 @ n0 )
= n15 )
& ( ( sum @ n15 @ n1 )
= n0 )
& ( ( sum @ n15 @ n2 )
= n1 )
& ( ( sum @ n15 @ n3 )
= n2 )
& ( ( sum @ n15 @ n4 )
= n3 )
& ( ( sum @ n15 @ n5 )
= n4 )
& ( ( sum @ n15 @ n6 )
= n5 )
& ( ( sum @ n15 @ n7 )
= n6 )
& ( ( sum @ n15 @ n8 )
= n7 )
& ( ( sum @ n15 @ n9 )
= n8 )
& ( ( sum @ n15 @ n10 )
= n9 )
& ( ( sum @ n15 @ n11 )
= n10 )
& ( ( sum @ n15 @ n12 )
= n11 )
& ( ( sum @ n15 @ n13 )
= n12 )
& ( ( sum @ n15 @ n14 )
= n13 )
& ( ( sum @ n15 @ n15 )
= n14 )
& ( ( 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 ) )
& ( ( 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 ) )
& ( C
= ( sum @ ( sum @ ( pred @ A ) @ ( succ @ B ) ) @ ( sum @ ( pred @ B ) @ ( succ @ A ) ) ) )
& ( D
= ( sum @ ( sum @ ( pred @ A ) @ ( succ @ A ) ) @ ( sum @ ( pred @ B ) @ ( succ @ B ) ) ) )
& ( E
= ( sum @ ( sum @ ( pred @ C ) @ ( succ @ D ) ) @ ( sum @ ( pred @ D ) @ ( succ @ C ) ) ) )
& ( F
= ( sum @ ( sum @ ( pred @ C ) @ ( succ @ C ) ) @ ( sum @ ( pred @ D ) @ ( succ @ D ) ) ) )
& ( G
= ( sum @ ( sum @ ( pred @ E ) @ ( succ @ F ) ) @ ( sum @ ( pred @ F ) @ ( succ @ E ) ) ) )
& ( H
= ( sum @ ( sum @ ( pred @ E ) @ ( succ @ E ) ) @ ( sum @ ( pred @ F ) @ ( succ @ F ) ) ) )
& ( I
= ( sum @ ( sum @ ( pred @ G ) @ ( succ @ H ) ) @ ( sum @ ( pred @ H ) @ ( succ @ G ) ) ) )
& ( J
= ( sum @ ( sum @ ( pred @ G ) @ ( succ @ G ) ) @ ( sum @ ( pred @ H ) @ ( succ @ H ) ) ) )
& ( K
= ( sum @ ( sum @ ( pred @ I ) @ ( succ @ J ) ) @ ( sum @ ( pred @ J ) @ ( succ @ I ) ) ) )
& ( L
= ( sum @ ( sum @ ( pred @ I ) @ ( succ @ I ) ) @ ( sum @ ( pred @ J ) @ ( succ @ J ) ) ) )
& ( M
= ( sum @ ( sum @ ( pred @ K ) @ ( succ @ L ) ) @ ( sum @ ( pred @ L ) @ ( succ @ K ) ) ) )
& ( N
= ( sum @ ( sum @ ( pred @ K ) @ ( succ @ K ) ) @ ( sum @ ( pred @ L ) @ ( succ @ L ) ) ) )
& ( O
= ( sum @ ( sum @ ( pred @ M ) @ ( succ @ N ) ) @ ( sum @ ( pred @ N ) @ ( succ @ M ) ) ) )
& ( P
= ( sum @ ( sum @ ( pred @ M ) @ ( succ @ M ) ) @ ( sum @ ( pred @ N ) @ ( succ @ N ) ) ) )
& ( Q
= ( sum @ ( sum @ ( pred @ O ) @ ( succ @ P ) ) @ ( sum @ ( pred @ P ) @ ( succ @ O ) ) ) )
& ( R
= ( sum @ ( sum @ ( pred @ O ) @ ( succ @ O ) ) @ ( sum @ ( pred @ P ) @ ( succ @ P ) ) ) )
& ( S
= ( sum @ ( sum @ ( pred @ Q ) @ ( succ @ R ) ) @ ( sum @ ( pred @ R ) @ ( succ @ Q ) ) ) )
& ( T
= ( sum @ ( sum @ ( pred @ Q ) @ ( succ @ Q ) ) @ ( sum @ ( pred @ R ) @ ( succ @ R ) ) ) )
& ( U
= ( sum @ ( sum @ ( pred @ S ) @ ( succ @ T ) ) @ ( sum @ ( pred @ T ) @ ( succ @ S ) ) ) )
& ( V
= ( sum @ ( sum @ ( pred @ S ) @ ( succ @ S ) ) @ ( sum @ ( pred @ T ) @ ( succ @ T ) ) ) )
& ( W
= ( sum @ ( sum @ ( pred @ U ) @ ( succ @ V ) ) @ ( sum @ ( pred @ V ) @ ( succ @ U ) ) ) )
& ( X
= ( sum @ ( sum @ ( pred @ U ) @ ( succ @ U ) ) @ ( sum @ ( pred @ V ) @ ( succ @ V ) ) ) )
& ( Y
= ( sum @ ( sum @ ( pred @ W ) @ ( succ @ X ) ) @ ( sum @ ( pred @ X ) @ ( succ @ W ) ) ) )
& ( Z
= ( sum @ ( sum @ ( pred @ W ) @ ( succ @ W ) ) @ ( sum @ ( pred @ X ) @ ( succ @ X ) ) ) )
& ( ZA
= ( sum @ ( sum @ ( pred @ Y ) @ ( succ @ Z ) ) @ ( sum @ ( pred @ Z ) @ ( succ @ Y ) ) ) )
& ( ZB
= ( sum @ ( sum @ ( pred @ Y ) @ ( succ @ Y ) ) @ ( sum @ ( pred @ Z ) @ ( succ @ Z ) ) ) )
& ( ZC
= ( sum @ ( sum @ ( pred @ ZA ) @ ( succ @ ZB ) ) @ ( sum @ ( pred @ ZB ) @ ( succ @ ZA ) ) ) )
& ( ZD
= ( sum @ ( sum @ ( pred @ ZA ) @ ( succ @ ZA ) ) @ ( sum @ ( pred @ ZB ) @ ( succ @ ZB ) ) ) )
& ( ZE
= ( sum @ ( sum @ ( pred @ ZC ) @ ( succ @ ZD ) ) @ ( sum @ ( pred @ ZD ) @ ( succ @ ZC ) ) ) )
& ( ZF
= ( sum @ ( sum @ ( pred @ ZC ) @ ( succ @ ZC ) ) @ ( sum @ ( pred @ ZD ) @ ( succ @ ZD ) ) ) )
& ( ( C != D )
| ( E != F )
| ( G != H )
| ( I != J )
| ( K != L )
| ( M != N )
| ( O != P )
| ( Q != R )
| ( S != T )
| ( U != V )
| ( W != X )
| ( Y != Z )
| ( ZA != ZB )
| ( ZC != ZD )
| ( ZE != ZF ) )
& ( n0 != n1 )
& ( n0 != n2 )
& ( n0 != n3 )
& ( n0 != n4 )
& ( n0 != n5 )
& ( n0 != n6 )
& ( n0 != n7 )
& ( n0 != n8 )
& ( n0 != n9 )
& ( n0 != n10 )
& ( n0 != n11 )
& ( n0 != n12 )
& ( n0 != n13 )
& ( n0 != n14 )
& ( n0 != n15 )
& ( n1 != n2 )
& ( n1 != n3 )
& ( n1 != n4 )
& ( n1 != n5 )
& ( n1 != n6 )
& ( n1 != n7 )
& ( n1 != n8 )
& ( n1 != n9 )
& ( n1 != n10 )
& ( n1 != n11 )
& ( n1 != n12 )
& ( n1 != n13 )
& ( n1 != n14 )
& ( n1 != n15 )
& ( n2 != n3 )
& ( n2 != n4 )
& ( n2 != n5 )
& ( n2 != n6 )
& ( n2 != n7 )
& ( n2 != n8 )
& ( n2 != n9 )
& ( n2 != n10 )
& ( n2 != n11 )
& ( n2 != n12 )
& ( n2 != n13 )
& ( n2 != n14 )
& ( n2 != n15 )
& ( n3 != n4 )
& ( n3 != n5 )
& ( n3 != n6 )
& ( n3 != n7 )
& ( n3 != n8 )
& ( n3 != n9 )
& ( n3 != n10 )
& ( n3 != n11 )
& ( n3 != n12 )
& ( n3 != n13 )
& ( n3 != n14 )
& ( n3 != n15 )
& ( n4 != n5 )
& ( n4 != n6 )
& ( n4 != n7 )
& ( n4 != n8 )
& ( n4 != n9 )
& ( n4 != n10 )
& ( n4 != n11 )
& ( n4 != n12 )
& ( n4 != n13 )
& ( n4 != n14 )
& ( n4 != n15 )
& ( n5 != n6 )
& ( n5 != n7 )
& ( n5 != n8 )
& ( n5 != n9 )
& ( n5 != n10 )
& ( n5 != n11 )
& ( n5 != n12 )
& ( n5 != n13 )
& ( n5 != n14 )
& ( n5 != n15 )
& ( n6 != n7 )
& ( n6 != n8 )
& ( n6 != n9 )
& ( n6 != n10 )
& ( n6 != n11 )
& ( n6 != n12 )
& ( n6 != n13 )
& ( n6 != n14 )
& ( n6 != n15 )
& ( n7 != n8 )
& ( n7 != n9 )
& ( n7 != n10 )
& ( n7 != n11 )
& ( n7 != n12 )
& ( n7 != n13 )
& ( n7 != n14 )
& ( n7 != n15 )
& ( n8 != n9 )
& ( n8 != n10 )
& ( n8 != n11 )
& ( n8 != n12 )
& ( n8 != n13 )
& ( n8 != n14 )
& ( n8 != n15 )
& ( n9 != n10 )
& ( n9 != n11 )
& ( n9 != n12 )
& ( n9 != n13 )
& ( n9 != n14 )
& ( n9 != n15 )
& ( n10 != n11 )
& ( n10 != n12 )
& ( n10 != n13 )
& ( n10 != n14 )
& ( n10 != n15 )
& ( n11 != n12 )
& ( n11 != n13 )
& ( n11 != n14 )
& ( n11 != n15 )
& ( n12 != n13 )
& ( n12 != n14 )
& ( n12 != n15 )
& ( n13 != n14 )
& ( n13 != n15 )
& ( n14 != n15 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',try_satisfy_this) ).
thf(2,plain,
? [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i,T: $i,U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i,ZA: $i,ZB: $i,ZC: $i,ZD: $i,ZE: $i,ZF: $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 )
= n0 )
& ( ( pred @ n0 )
= n15 )
& ( ( pred @ n1 )
= n0 )
& ( ( pred @ n2 )
= n1 )
& ( ( pred @ n3 )
= n2 )
& ( ( pred @ n4 )
= n3 )
& ( ( pred @ n5 )
= n4 )
& ( ( pred @ n6 )
= n5 )
& ( ( pred @ n7 )
= n6 )
& ( ( pred @ n8 )
= n7 )
& ( ( pred @ n9 )
= n8 )
& ( ( pred @ n10 )
= n9 )
& ( ( pred @ n11 )
= n10 )
& ( ( pred @ n12 )
= n11 )
& ( ( pred @ n13 )
= n12 )
& ( ( pred @ n14 )
= n13 )
& ( ( pred @ n15 )
= n14 )
& ( ( sum @ n0 @ n0 )
= n0 )
& ( ( sum @ n0 @ n1 )
= n1 )
& ( ( sum @ n0 @ n2 )
= n2 )
& ( ( sum @ n0 @ n3 )
= n3 )
& ( ( sum @ n0 @ n4 )
= n4 )
& ( ( sum @ n0 @ n5 )
= n5 )
& ( ( sum @ n0 @ n6 )
= n6 )
& ( ( sum @ n0 @ n7 )
= n7 )
& ( ( sum @ n0 @ n8 )
= n8 )
& ( ( sum @ n0 @ n9 )
= n9 )
& ( ( sum @ n0 @ n10 )
= n10 )
& ( ( sum @ n0 @ n11 )
= n11 )
& ( ( sum @ n0 @ n12 )
= n12 )
& ( ( sum @ n0 @ n13 )
= n13 )
& ( ( sum @ n0 @ n14 )
= n14 )
& ( ( sum @ n0 @ n15 )
= n15 )
& ( ( sum @ n1 @ n0 )
= n1 )
& ( ( sum @ n1 @ n1 )
= n2 )
& ( ( sum @ n1 @ n2 )
= n3 )
& ( ( sum @ n1 @ n3 )
= n4 )
& ( ( sum @ n1 @ n4 )
= n5 )
& ( ( sum @ n1 @ n5 )
= n6 )
& ( ( sum @ n1 @ n6 )
= n7 )
& ( ( sum @ n1 @ n7 )
= n8 )
& ( ( sum @ n1 @ n8 )
= n9 )
& ( ( sum @ n1 @ n9 )
= n10 )
& ( ( sum @ n1 @ n10 )
= n11 )
& ( ( sum @ n1 @ n11 )
= n12 )
& ( ( sum @ n1 @ n12 )
= n13 )
& ( ( sum @ n1 @ n13 )
= n14 )
& ( ( sum @ n1 @ n14 )
= n15 )
& ( ( sum @ n1 @ n15 )
= n0 )
& ( ( sum @ n2 @ n0 )
= n2 )
& ( ( sum @ n2 @ n1 )
= n3 )
& ( ( sum @ n2 @ n2 )
= n4 )
& ( ( sum @ n2 @ n3 )
= n5 )
& ( ( sum @ n2 @ n4 )
= n6 )
& ( ( sum @ n2 @ n5 )
= n7 )
& ( ( sum @ n2 @ n6 )
= n8 )
& ( ( sum @ n2 @ n7 )
= n9 )
& ( ( sum @ n2 @ n8 )
= n10 )
& ( ( sum @ n2 @ n9 )
= n11 )
& ( ( sum @ n2 @ n10 )
= n12 )
& ( ( sum @ n2 @ n11 )
= n13 )
& ( ( sum @ n2 @ n12 )
= n14 )
& ( ( sum @ n2 @ n13 )
= n15 )
& ( ( sum @ n2 @ n14 )
= n0 )
& ( ( sum @ n2 @ n15 )
= n1 )
& ( ( sum @ n3 @ n0 )
= n3 )
& ( ( sum @ n3 @ n1 )
= n4 )
& ( ( sum @ n3 @ n2 )
= n5 )
& ( ( sum @ n3 @ n3 )
= n6 )
& ( ( sum @ n3 @ n4 )
= n7 )
& ( ( sum @ n3 @ n5 )
= n8 )
& ( ( sum @ n3 @ n6 )
= n9 )
& ( ( sum @ n3 @ n7 )
= n10 )
& ( ( sum @ n3 @ n8 )
= n11 )
& ( ( sum @ n3 @ n9 )
= n12 )
& ( ( sum @ n3 @ n10 )
= n13 )
& ( ( sum @ n3 @ n11 )
= n14 )
& ( ( sum @ n3 @ n12 )
= n15 )
& ( ( sum @ n3 @ n13 )
= n0 )
& ( ( sum @ n3 @ n14 )
= n1 )
& ( ( sum @ n3 @ n15 )
= n2 )
& ( ( sum @ n4 @ n0 )
= n4 )
& ( ( sum @ n4 @ n1 )
= n5 )
& ( ( sum @ n4 @ n2 )
= n6 )
& ( ( sum @ n4 @ n3 )
= n7 )
& ( ( sum @ n4 @ n4 )
= n8 )
& ( ( sum @ n4 @ n5 )
= n9 )
& ( ( sum @ n4 @ n6 )
= n10 )
& ( ( sum @ n4 @ n7 )
= n11 )
& ( ( sum @ n4 @ n8 )
= n12 )
& ( ( sum @ n4 @ n9 )
= n13 )
& ( ( sum @ n4 @ n10 )
= n14 )
& ( ( sum @ n4 @ n11 )
= n15 )
& ( ( sum @ n4 @ n12 )
= n0 )
& ( ( sum @ n4 @ n13 )
= n1 )
& ( ( sum @ n4 @ n14 )
= n2 )
& ( ( sum @ n4 @ n15 )
= n3 )
& ( ( sum @ n5 @ n0 )
= n5 )
& ( ( sum @ n5 @ n1 )
= n6 )
& ( ( sum @ n5 @ n2 )
= n7 )
& ( ( sum @ n5 @ n3 )
= n8 )
& ( ( sum @ n5 @ n4 )
= n9 )
& ( ( sum @ n5 @ n5 )
= n10 )
& ( ( sum @ n5 @ n6 )
= n11 )
& ( ( sum @ n5 @ n7 )
= n12 )
& ( ( sum @ n5 @ n8 )
= n13 )
& ( ( sum @ n5 @ n9 )
= n14 )
& ( ( sum @ n5 @ n10 )
= n15 )
& ( ( sum @ n5 @ n11 )
= n0 )
& ( ( sum @ n5 @ n12 )
= n1 )
& ( ( sum @ n5 @ n13 )
= n2 )
& ( ( sum @ n5 @ n14 )
= n3 )
& ( ( sum @ n5 @ n15 )
= n4 )
& ( ( sum @ n6 @ n0 )
= n6 )
& ( ( sum @ n6 @ n1 )
= n7 )
& ( ( sum @ n6 @ n2 )
= n8 )
& ( ( sum @ n6 @ n3 )
= n9 )
& ( ( sum @ n6 @ n4 )
= n10 )
& ( ( sum @ n6 @ n5 )
= n11 )
& ( ( sum @ n6 @ n6 )
= n12 )
& ( ( sum @ n6 @ n7 )
= n13 )
& ( ( sum @ n6 @ n8 )
= n14 )
& ( ( sum @ n6 @ n9 )
= n15 )
& ( ( sum @ n6 @ n10 )
= n0 )
& ( ( sum @ n6 @ n11 )
= n1 )
& ( ( sum @ n6 @ n12 )
= n2 )
& ( ( sum @ n6 @ n13 )
= n3 )
& ( ( sum @ n6 @ n14 )
= n4 )
& ( ( sum @ n6 @ n15 )
= n5 )
& ( ( sum @ n7 @ n0 )
= n7 )
& ( ( sum @ n7 @ n1 )
= n8 )
& ( ( sum @ n7 @ n2 )
= n9 )
& ( ( sum @ n7 @ n3 )
= n10 )
& ( ( sum @ n7 @ n4 )
= n11 )
& ( ( sum @ n7 @ n5 )
= n12 )
& ( ( sum @ n7 @ n6 )
= n13 )
& ( ( sum @ n7 @ n7 )
= n14 )
& ( ( sum @ n7 @ n8 )
= n15 )
& ( ( sum @ n7 @ n9 )
= n0 )
& ( ( sum @ n7 @ n10 )
= n1 )
& ( ( sum @ n7 @ n11 )
= n2 )
& ( ( sum @ n7 @ n12 )
= n3 )
& ( ( sum @ n7 @ n13 )
= n4 )
& ( ( sum @ n7 @ n14 )
= n5 )
& ( ( sum @ n7 @ n15 )
= n6 )
& ( ( sum @ n8 @ n0 )
= n8 )
& ( ( sum @ n8 @ n1 )
= n9 )
& ( ( sum @ n8 @ n2 )
= n10 )
& ( ( sum @ n8 @ n3 )
= n11 )
& ( ( sum @ n8 @ n4 )
= n12 )
& ( ( sum @ n8 @ n5 )
= n13 )
& ( ( sum @ n8 @ n6 )
= n14 )
& ( ( sum @ n8 @ n7 )
= n15 )
& ( ( sum @ n8 @ n8 )
= n0 )
& ( ( sum @ n8 @ n9 )
= n1 )
& ( ( sum @ n8 @ n10 )
= n2 )
& ( ( sum @ n8 @ n11 )
= n3 )
& ( ( sum @ n8 @ n12 )
= n4 )
& ( ( sum @ n8 @ n13 )
= n5 )
& ( ( sum @ n8 @ n14 )
= n6 )
& ( ( sum @ n8 @ n15 )
= n7 )
& ( ( sum @ n9 @ n0 )
= n9 )
& ( ( sum @ n9 @ n1 )
= n10 )
& ( ( sum @ n9 @ n2 )
= n11 )
& ( ( sum @ n9 @ n3 )
= n12 )
& ( ( sum @ n9 @ n4 )
= n13 )
& ( ( sum @ n9 @ n5 )
= n14 )
& ( ( sum @ n9 @ n6 )
= n15 )
& ( ( sum @ n9 @ n7 )
= n0 )
& ( ( sum @ n9 @ n8 )
= n1 )
& ( ( sum @ n9 @ n9 )
= n2 )
& ( ( sum @ n9 @ n10 )
= n3 )
& ( ( sum @ n9 @ n11 )
= n4 )
& ( ( sum @ n9 @ n12 )
= n5 )
& ( ( sum @ n9 @ n13 )
= n6 )
& ( ( sum @ n9 @ n14 )
= n7 )
& ( ( sum @ n9 @ n15 )
= n8 )
& ( ( sum @ n10 @ n0 )
= n10 )
& ( ( sum @ n10 @ n1 )
= n11 )
& ( ( sum @ n10 @ n2 )
= n12 )
& ( ( sum @ n10 @ n3 )
= n13 )
& ( ( sum @ n10 @ n4 )
= n14 )
& ( ( sum @ n10 @ n5 )
= n15 )
& ( ( sum @ n10 @ n6 )
= n0 )
& ( ( sum @ n10 @ n7 )
= n1 )
& ( ( sum @ n10 @ n8 )
= n2 )
& ( ( sum @ n10 @ n9 )
= n3 )
& ( ( sum @ n10 @ n10 )
= n4 )
& ( ( sum @ n10 @ n11 )
= n5 )
& ( ( sum @ n10 @ n12 )
= n6 )
& ( ( sum @ n10 @ n13 )
= n7 )
& ( ( sum @ n10 @ n14 )
= n8 )
& ( ( sum @ n10 @ n15 )
= n9 )
& ( ( sum @ n11 @ n0 )
= n11 )
& ( ( sum @ n11 @ n1 )
= n12 )
& ( ( sum @ n11 @ n2 )
= n13 )
& ( ( sum @ n11 @ n3 )
= n14 )
& ( ( sum @ n11 @ n4 )
= n15 )
& ( ( sum @ n11 @ n5 )
= n0 )
& ( ( sum @ n11 @ n6 )
= n1 )
& ( ( sum @ n11 @ n7 )
= n2 )
& ( ( sum @ n11 @ n8 )
= n3 )
& ( ( sum @ n11 @ n9 )
= n4 )
& ( ( sum @ n11 @ n10 )
= n5 )
& ( ( sum @ n11 @ n11 )
= n6 )
& ( ( sum @ n11 @ n12 )
= n7 )
& ( ( sum @ n11 @ n13 )
= n8 )
& ( ( sum @ n11 @ n14 )
= n9 )
& ( ( sum @ n11 @ n15 )
= n10 )
& ( ( sum @ n12 @ n0 )
= n12 )
& ( ( sum @ n12 @ n1 )
= n13 )
& ( ( sum @ n12 @ n2 )
= n14 )
& ( ( sum @ n12 @ n3 )
= n15 )
& ( ( sum @ n12 @ n4 )
= n0 )
& ( ( sum @ n12 @ n5 )
= n1 )
& ( ( sum @ n12 @ n6 )
= n2 )
& ( ( sum @ n12 @ n7 )
= n3 )
& ( ( sum @ n12 @ n8 )
= n4 )
& ( ( sum @ n12 @ n9 )
= n5 )
& ( ( sum @ n12 @ n10 )
= n6 )
& ( ( sum @ n12 @ n11 )
= n7 )
& ( ( sum @ n12 @ n12 )
= n8 )
& ( ( sum @ n12 @ n13 )
= n9 )
& ( ( sum @ n12 @ n14 )
= n10 )
& ( ( sum @ n12 @ n15 )
= n11 )
& ( ( sum @ n13 @ n0 )
= n13 )
& ( ( sum @ n13 @ n1 )
= n14 )
& ( ( sum @ n13 @ n2 )
= n15 )
& ( ( sum @ n13 @ n3 )
= n0 )
& ( ( sum @ n13 @ n4 )
= n1 )
& ( ( sum @ n13 @ n5 )
= n2 )
& ( ( sum @ n13 @ n6 )
= n3 )
& ( ( sum @ n13 @ n7 )
= n4 )
& ( ( sum @ n13 @ n8 )
= n5 )
& ( ( sum @ n13 @ n9 )
= n6 )
& ( ( sum @ n13 @ n10 )
= n7 )
& ( ( sum @ n13 @ n11 )
= n8 )
& ( ( sum @ n13 @ n12 )
= n9 )
& ( ( sum @ n13 @ n13 )
= n10 )
& ( ( sum @ n13 @ n14 )
= n11 )
& ( ( sum @ n13 @ n15 )
= n12 )
& ( ( sum @ n14 @ n0 )
= n14 )
& ( ( sum @ n14 @ n1 )
= n15 )
& ( ( sum @ n14 @ n2 )
= n0 )
& ( ( sum @ n14 @ n3 )
= n1 )
& ( ( sum @ n14 @ n4 )
= n2 )
& ( ( sum @ n14 @ n5 )
= n3 )
& ( ( sum @ n14 @ n6 )
= n4 )
& ( ( sum @ n14 @ n7 )
= n5 )
& ( ( sum @ n14 @ n8 )
= n6 )
& ( ( sum @ n14 @ n9 )
= n7 )
& ( ( sum @ n14 @ n10 )
= n8 )
& ( ( sum @ n14 @ n11 )
= n9 )
& ( ( sum @ n14 @ n12 )
= n10 )
& ( ( sum @ n14 @ n13 )
= n11 )
& ( ( sum @ n14 @ n14 )
= n12 )
& ( ( sum @ n14 @ n15 )
= n13 )
& ( ( sum @ n15 @ n0 )
= n15 )
& ( ( sum @ n15 @ n1 )
= n0 )
& ( ( sum @ n15 @ n2 )
= n1 )
& ( ( sum @ n15 @ n3 )
= n2 )
& ( ( sum @ n15 @ n4 )
= n3 )
& ( ( sum @ n15 @ n5 )
= n4 )
& ( ( sum @ n15 @ n6 )
= n5 )
& ( ( sum @ n15 @ n7 )
= n6 )
& ( ( sum @ n15 @ n8 )
= n7 )
& ( ( sum @ n15 @ n9 )
= n8 )
& ( ( sum @ n15 @ n10 )
= n9 )
& ( ( sum @ n15 @ n11 )
= n10 )
& ( ( sum @ n15 @ n12 )
= n11 )
& ( ( sum @ n15 @ n13 )
= n12 )
& ( ( sum @ n15 @ n14 )
= n13 )
& ( ( sum @ n15 @ n15 )
= n14 )
& ( ( 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 ) )
& ( ( 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 ) )
& ( C
= ( sum @ ( sum @ ( pred @ A ) @ ( succ @ B ) ) @ ( sum @ ( pred @ B ) @ ( succ @ A ) ) ) )
& ( D
= ( sum @ ( sum @ ( pred @ A ) @ ( succ @ A ) ) @ ( sum @ ( pred @ B ) @ ( succ @ B ) ) ) )
& ( E
= ( sum @ ( sum @ ( pred @ C ) @ ( succ @ D ) ) @ ( sum @ ( pred @ D ) @ ( succ @ C ) ) ) )
& ( F
= ( sum @ ( sum @ ( pred @ C ) @ ( succ @ C ) ) @ ( sum @ ( pred @ D ) @ ( succ @ D ) ) ) )
& ( G
= ( sum @ ( sum @ ( pred @ E ) @ ( succ @ F ) ) @ ( sum @ ( pred @ F ) @ ( succ @ E ) ) ) )
& ( H
= ( sum @ ( sum @ ( pred @ E ) @ ( succ @ E ) ) @ ( sum @ ( pred @ F ) @ ( succ @ F ) ) ) )
& ( I
= ( sum @ ( sum @ ( pred @ G ) @ ( succ @ H ) ) @ ( sum @ ( pred @ H ) @ ( succ @ G ) ) ) )
& ( J
= ( sum @ ( sum @ ( pred @ G ) @ ( succ @ G ) ) @ ( sum @ ( pred @ H ) @ ( succ @ H ) ) ) )
& ( K
= ( sum @ ( sum @ ( pred @ I ) @ ( succ @ J ) ) @ ( sum @ ( pred @ J ) @ ( succ @ I ) ) ) )
& ( L
= ( sum @ ( sum @ ( pred @ I ) @ ( succ @ I ) ) @ ( sum @ ( pred @ J ) @ ( succ @ J ) ) ) )
& ( M
= ( sum @ ( sum @ ( pred @ K ) @ ( succ @ L ) ) @ ( sum @ ( pred @ L ) @ ( succ @ K ) ) ) )
& ( N
= ( sum @ ( sum @ ( pred @ K ) @ ( succ @ K ) ) @ ( sum @ ( pred @ L ) @ ( succ @ L ) ) ) )
& ( O
= ( sum @ ( sum @ ( pred @ M ) @ ( succ @ N ) ) @ ( sum @ ( pred @ N ) @ ( succ @ M ) ) ) )
& ( P
= ( sum @ ( sum @ ( pred @ M ) @ ( succ @ M ) ) @ ( sum @ ( pred @ N ) @ ( succ @ N ) ) ) )
& ( Q
= ( sum @ ( sum @ ( pred @ O ) @ ( succ @ P ) ) @ ( sum @ ( pred @ P ) @ ( succ @ O ) ) ) )
& ( R
= ( sum @ ( sum @ ( pred @ O ) @ ( succ @ O ) ) @ ( sum @ ( pred @ P ) @ ( succ @ P ) ) ) )
& ( S
= ( sum @ ( sum @ ( pred @ Q ) @ ( succ @ R ) ) @ ( sum @ ( pred @ R ) @ ( succ @ Q ) ) ) )
& ( T
= ( sum @ ( sum @ ( pred @ Q ) @ ( succ @ Q ) ) @ ( sum @ ( pred @ R ) @ ( succ @ R ) ) ) )
& ( U
= ( sum @ ( sum @ ( pred @ S ) @ ( succ @ T ) ) @ ( sum @ ( pred @ T ) @ ( succ @ S ) ) ) )
& ( V
= ( sum @ ( sum @ ( pred @ S ) @ ( succ @ S ) ) @ ( sum @ ( pred @ T ) @ ( succ @ T ) ) ) )
& ( W
= ( sum @ ( sum @ ( pred @ U ) @ ( succ @ V ) ) @ ( sum @ ( pred @ V ) @ ( succ @ U ) ) ) )
& ( X
= ( sum @ ( sum @ ( pred @ U ) @ ( succ @ U ) ) @ ( sum @ ( pred @ V ) @ ( succ @ V ) ) ) )
& ( Y
= ( sum @ ( sum @ ( pred @ W ) @ ( succ @ X ) ) @ ( sum @ ( pred @ X ) @ ( succ @ W ) ) ) )
& ( Z
= ( sum @ ( sum @ ( pred @ W ) @ ( succ @ W ) ) @ ( sum @ ( pred @ X ) @ ( succ @ X ) ) ) )
& ( ZA
= ( sum @ ( sum @ ( pred @ Y ) @ ( succ @ Z ) ) @ ( sum @ ( pred @ Z ) @ ( succ @ Y ) ) ) )
& ( ZB
= ( sum @ ( sum @ ( pred @ Y ) @ ( succ @ Y ) ) @ ( sum @ ( pred @ Z ) @ ( succ @ Z ) ) ) )
& ( ZC
= ( sum @ ( sum @ ( pred @ ZA ) @ ( succ @ ZB ) ) @ ( sum @ ( pred @ ZB ) @ ( succ @ ZA ) ) ) )
& ( ZD
= ( sum @ ( sum @ ( pred @ ZA ) @ ( succ @ ZA ) ) @ ( sum @ ( pred @ ZB ) @ ( succ @ ZB ) ) ) )
& ( ZE
= ( sum @ ( sum @ ( pred @ ZC ) @ ( succ @ ZD ) ) @ ( sum @ ( pred @ ZD ) @ ( succ @ ZC ) ) ) )
& ( ZF
= ( sum @ ( sum @ ( pred @ ZC ) @ ( succ @ ZC ) ) @ ( sum @ ( pred @ ZD ) @ ( succ @ ZD ) ) ) )
& ( ( C != D )
| ( E != F )
| ( G != H )
| ( I != J )
| ( K != L )
| ( M != N )
| ( O != P )
| ( Q != R )
| ( S != T )
| ( U != V )
| ( W != X )
| ( Y != Z )
| ( ZA != ZB )
| ( ZC != ZD )
| ( ZE != ZF ) )
& ( n0 != n1 )
& ( n0 != n2 )
& ( n0 != n3 )
& ( n0 != n4 )
& ( n0 != n5 )
& ( n0 != n6 )
& ( n0 != n7 )
& ( n0 != n8 )
& ( n0 != n9 )
& ( n0 != n10 )
& ( n0 != n11 )
& ( n0 != n12 )
& ( n0 != n13 )
& ( n0 != n14 )
& ( n0 != n15 )
& ( n1 != n2 )
& ( n1 != n3 )
& ( n1 != n4 )
& ( n1 != n5 )
& ( n1 != n6 )
& ( n1 != n7 )
& ( n1 != n8 )
& ( n1 != n9 )
& ( n1 != n10 )
& ( n1 != n11 )
& ( n1 != n12 )
& ( n1 != n13 )
& ( n1 != n14 )
& ( n1 != n15 )
& ( n2 != n3 )
& ( n2 != n4 )
& ( n2 != n5 )
& ( n2 != n6 )
& ( n2 != n7 )
& ( n2 != n8 )
& ( n2 != n9 )
& ( n2 != n10 )
& ( n2 != n11 )
& ( n2 != n12 )
& ( n2 != n13 )
& ( n2 != n14 )
& ( n2 != n15 )
& ( n3 != n4 )
& ( n3 != n5 )
& ( n3 != n6 )
& ( n3 != n7 )
& ( n3 != n8 )
& ( n3 != n9 )
& ( n3 != n10 )
& ( n3 != n11 )
& ( n3 != n12 )
& ( n3 != n13 )
& ( n3 != n14 )
& ( n3 != n15 )
& ( n4 != n5 )
& ( n4 != n6 )
& ( n4 != n7 )
& ( n4 != n8 )
& ( n4 != n9 )
& ( n4 != n10 )
& ( n4 != n11 )
& ( n4 != n12 )
& ( n4 != n13 )
& ( n4 != n14 )
& ( n4 != n15 )
& ( n5 != n6 )
& ( n5 != n7 )
& ( n5 != n8 )
& ( n5 != n9 )
& ( n5 != n10 )
& ( n5 != n11 )
& ( n5 != n12 )
& ( n5 != n13 )
& ( n5 != n14 )
& ( n5 != n15 )
& ( n6 != n7 )
& ( n6 != n8 )
& ( n6 != n9 )
& ( n6 != n10 )
& ( n6 != n11 )
& ( n6 != n12 )
& ( n6 != n13 )
& ( n6 != n14 )
& ( n6 != n15 )
& ( n7 != n8 )
& ( n7 != n9 )
& ( n7 != n10 )
& ( n7 != n11 )
& ( n7 != n12 )
& ( n7 != n13 )
& ( n7 != n14 )
& ( n7 != n15 )
& ( n8 != n9 )
& ( n8 != n10 )
& ( n8 != n11 )
& ( n8 != n12 )
& ( n8 != n13 )
& ( n8 != n14 )
& ( n8 != n15 )
& ( n9 != n10 )
& ( n9 != n11 )
& ( n9 != n12 )
& ( n9 != n13 )
& ( n9 != n14 )
& ( n9 != n15 )
& ( n10 != n11 )
& ( n10 != n12 )
& ( n10 != n13 )
& ( n10 != n14 )
& ( n10 != n15 )
& ( n11 != n12 )
& ( n11 != n13 )
& ( n11 != n14 )
& ( n11 != n15 )
& ( n12 != n13 )
& ( n12 != n14 )
& ( n12 != n15 )
& ( n13 != n14 )
& ( n13 != n15 )
& ( n14 != n15 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(886,plain,
$false,
inference(cvc4,[status(thm)],[2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : NUM377+1.015 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.13 % Command : run_Leo-III %s %d
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu May 18 17:30:00 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.80/0.78 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.27/0.95 % [INFO] Parsing done (174ms).
% 1.27/0.96 % [INFO] Running in sequential loop mode.
% 1.66/1.19 % [INFO] eprover registered as external prover.
% 1.66/1.19 % [INFO] cvc4 registered as external prover.
% 1.66/1.20 % [INFO] Scanning for conjecture ...
% 1.87/1.26 % [INFO] 1 axioms and no conjecture found.
% 3.29/2.25 % [INFO] Problem is first-order (TPTP FOF).
% 3.29/2.27 % [INFO] Type checking passed.
% 3.41/2.27 % [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 ...
% 57.22/51.81 % External prover 'cvc4' found a proof!
% 57.22/51.81 % [INFO] Killing All external provers ...
% 57.22/51.81 % Time passed: 51342ms (effective reasoning time: 50850ms)
% 57.22/51.82 % Axioms used in derivation (1): try_satisfy_this
% 57.22/51.82 % No. of inferences in proof: 3
% 57.22/51.82 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 51342 ms resp. 50850 ms w/o parsing
% 57.87/51.90 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 57.87/51.90 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------