Paragon 4004-71 timer will not trip on

Assuming you have Paragon 4001 40 amp 120Volt timer
By-pass the timer so only pool pump is connected to breaker.
To do this, move wire from terminal 2 and connect to terminal 1.
If breaker no longer trips, then replace timer with Intermatic T101
http://waterheatertimer.org/How-to-wire-T104-Intermatic-timer.html#T101
Crossover wiring: Paragon terminal 1 goes to Intermatic terminal 1.
Paragon terminal 2 to Intermatic terminal 2.
Paragon terminal 3 to Intermatic terminal A
If breaker keeps tripping after bypassing timer, then tighten wires on circuit breaker and test again.
If breaker keeps tripping, then move wires to another same-size breaker.
http://waterheatertimer.org/How-to-replace-circuit-breaker.html
Breakers trip when they sense overheating.
If motor is causing problem, you might need electrician to track down source of overheating.

If you need further help, I’m available over the phone at https://www.6ya.com/expert/gene_9f0ef4df2f9897e7

It's called a tripper.
Question posted under Paragon 4000 series timer that uses X2772 tripper.
Paragon is no longer making that timer or tripper.
http://waterheatertimer.org/Paragon-timers-and-manuals.html#4000

If different timer is needed, use Intermatic crossover to match timer number:
http://www.intermatic.com/customer%20service/competitive%20cross%20reference.aspx

1) If circuit breaker is not tripped or shorted, then timer clock motor has probably gone bad.

2) Some places still sell paragon timers, depending on model number.
But model number given is for 240Volt timer.

3) The clock motor is not available that I can find.
Paragon is no longer making the 4000 series timers or parts
http://waterheatertimer.org/Paragon-timers-and-manuals.html#4000

4) Model number given does not match wiring terminals shown in manual.
4014 is DPST 240Volt timer with 4 wiring terminals labeled 1 2 3 4.
http://waterheatertimer.org/pdf/Paragon-4000-series.pdf

5) Paragon 4000 series timer with terminals 1 2 3 is 120Volt timer.

6) Replace 120Volt timer with Intermatic T101 indoor timer or T101R outdoor timer.
Crossover wiring:
Paragon terminal 1 goes to Intermatic terminal 1
Paragon terminal 2 goes to Intermatic terminal 2
Paragon terminals 3 goes to Intermatic terminal A
http://waterheatertimer.org/How-to-wire-T104-Intermatic-timer.html#T101

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It seems everybody is out of those timer clips.
Check e-bay for used clips.
Paragon is no longer making timer parts except defrost timers.
Suggest changeover to Intermatic T100 series:
http://www.intermatic.com/customer%20service/competitive%20cross%20reference.aspx
http://waterheatertimer.org/How-to-wire-T104-Intermatic-timer.html

Paragon 7007-00 120Volt 7-day timer with 4-NO terminals uses X4299 tripper.
Paragon is no longer making timers and parts, except for defrost timers. 7000 series is not defrost timer.
Patriot supply shows the X4299 tripper for $15 per pair July 2011.

Open following link to identify timer:
http://waterheatertimer.org/Paragon-timers-and-manuals.html#7000
Intermatic cross-over timer is T7401B

Open following link for Paragon resources:
http://waterheatertimer.org/Paragon-timers-and-manuals.html#4000

Individual parts are not sold except for X2772 tripper.
Move the manual override lever back and forth and see if load turns on-off.
Watch if on-and-off trippers are moving override lever back and forth, to see if problem is a worn tripper instead of broken spring.

Replacement 4001-00 timers are sold, even though Paragon is no longer making timers except defrost timers.
http://www.mdappliance.com/RBS-4001-00.html?mv_pc=00015
Replacement timer is Intermatic T101
http://www.amazon.com/Intermatic-T101-Hour-Dial-Timer/dp/B00002N5FN
http://waterheatertimer.org/How-to-wire-T104-Intermatic-timer.html#T101

Link below has wiring diagrams and wiring manuals for 240V 8145-20
http://waterheatertimer.org/Paragon-timers-and-manuals.html#defrost

I am not expert installing defrost timers.
According to information from Paragon, 8145 is for hot gas defrosting. 8140 series are time initiated, and pressure-or-temperature terminated.
Wiring diagram does not show compressor wired to timer.

The cycle works like this:
Timer is running but defrost is not switched ON.
Fan is ON.
Timer switches ON and activates defrost cycle.
Fan turns OFF. Hot gas valve turns ON for defrosting.
Cycle limit switch is temperature or pressure sensitive.
Cycle limit switch reaches trip point, timer switches OFF.
Hot gas valve turns OFF. Fan turns ON.
So fan is off during defrost cycle.
Hot gas valve turns ON when timer switches ON.
Timer is switched OFF by pressure-or-temperature limit switch.

I don't see the 4001-ov in the Paragon spec sheet
http://waterheatertimer.org/pdf/Paragon-4000-24hr-7000-7day.pdf

To test the general condition of your Paragon timer, use the manual override.
If the manual override works perfectly, then you may need new tripper pins.
The Paragon 4000 series uses X2772 tripper pin.
Google search Paragon X2772 tripper turns up prices of $9 for a pair of trippers

A simple 120V replacement timer is the Intermatic T-101
For outdoor, use the T-101R 'R' for raintight

Lowes usually has the T-101 on the store shelf and they sell the T-101R online
http://www.lowes.com/pd_29405
http://www.aplussupply.com/intermatic/timer.htm
http://waterheatertimer.org/How-to-wire-T104-Intermatic-timer.html#T101

The solenoid switches timer OFF when temperature-or-pressure limit switch reaches trip point.
http://waterheatertimer.org/Paragon-timers-and-manuals.html#defrost

Link below has 8145-20 wiring diagram:
http://waterheatertimer.org/Paragon-timers-and-manuals.html#defrost

Terminal N is 2nd wire needed to complete circuit.
In 240V 8145-20, there are two hot wires.
One Hot connects to terminal 1, with jumper to terminal 2.
Second Hot connects to terminal N, and this will power the clock motor and timer.
Terminal X is for temperature or pressure termination switch.

Defrost cycle works like this:
Timer is running but switched OFF.
Refrigeration fan is ON.
Timer switches ON, defrost cycle begins.
Refrigeration fan turns OFF.
Hot gas defrost turns ON.
When temperature-or-pressure limit switch reaches trip point, it switches timer OFF.
Refrigeration fan turns ON again.
Hot gas defrost turns OFF.