/usr/lib/open-axiom/input/pat.input is in open-axiom-test 1.5.0~svn3056+ds-1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 | -- Input for page PatternMatching
)clear all
square := operator 'square
rule square(x) == x*x
fact(n | n > 0) == n * fact(n - 1)
fact(0) == 1
f('A) == 1
f(0) == 0 otherwise
binary(true) == 1
binary(false) == 0
sinValues == rules
sin(%pi) == 0
sin(%pi/4) == sqrt(2)/2
integrate(log(1 + tan(x)),x,0,%pi/4) == %pi/8*log(2)
powerOf(x,x) == 1
powerOf(x,x**n) == n
powerOf(x,y) == 0 otherwise
powerOf(x,x**n%) == n%
powerOf(x,y) == 0 otherwise
linearExponent?(exp(%a*x+%b | freeOf?(%a,x) and freeOf?(%b,x)),x) == true
linearExponent?(exp(a) | freeOf?(a,x),x) == true
linearExponent?(u,x) == false
linearExponent?(exp(x),x) == true
linearExponent?(exp(a*x) | freeOf?(a,x),x) == true
linearExponent?(exp(x+b) | freeOf?(b,x),x) == true
linearExponent?(exp(a*x+b,x) | freeOf?(a,x) and freeOf?(b,x)) == true
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