### example taken from http://skolemmachines.org/reports/SkolemMachines.pdf

@prefix : <https://eyereasoner.github.io/eye/reasoning#>.

# 2-Counter machine
# Example: R1 + R2 -> R1
# 1: jpz(R2,5,2)
# 2: dec(R2)
# 3: inc(R1)
# 4: goto(1)
# 5: halt

# program
1 :instruction (:jpz 2 5 2).
2 :instruction (:dec 2 3).
3 :instruction (:inc 1 4).
4 :instruction (:goto 1).
5 :instruction (:halt).

# data
0 :inc 1.
1 :inc 2.
2 :inc 3.
3 :inc 4.

1 :state (3 4). # START compute 3 + 4

# UNIVERSAL INTERPRETATION OF REGISTER INSTRUCTIONS
# :jpz
{?PC :state (0 ?R2). ?PC :instruction (:jpz 1 ?PA ?PB)} => {?PA :state (0 ?R2)}.
{?PC :state (?R1 ?R2). ?X :inc ?R1. ?PC :instruction (:jpz 1 ?PA ?PB)} => {?PB :state (?R1 ?R2)}.
{?PC :state (?R1 0). ?PC :instruction (:jpz 2 ?PA ?PB)} => {?PA :state (?R1 0)}.
{?PC :state (?R1 ?R2). ?X :inc ?R2. ?PC :instruction (:jpz 2 ?PA ?PB)} => {?PB :state (?R1 ?R2)}.

# :dec
{?PC :state (?R1 ?R2). ?PC :instruction (:dec 1 ?PB). ?D :inc ?R1} => {?PB :state (?D ?R2)}.
{?PC :state (?R1 ?R2). ?PC :instruction (:dec 2 ?PB). ?D :inc ?R2} => {?PB :state (?R1 ?D)}.

# inc
{?PC :state (?R1 ?R2). ?PC :instruction (:inc 1 ?PB). ?R1 :inc ?I} => {?PB :state (?I ?R2)}.
{?PC :state (?R1 ?R2). ?PC :instruction (:inc 2 ?PB). ?R2 :inc ?I} => {?PB :state (?R1 ?I)}.

# :goto
{?PC :state (?R1 ?R2). ?PC :instruction (:goto ?PB)} => {?PB :state (?R1 ?R2)}.

# Natural number generation via inc
{?X :inc ?Y} => {?Y :inc ?SomeZ}.
