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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Let x3 of type ι be given.
Let x4 of type ι be given.
Let x5 of type ι be given.
Let x6 of type ι be given.
Let x7 of type ι be given.
Let x8 of type ι be given.
Let x9 of type ι be given.
Let x10 of type ι be given.
Let x11 of type ι be given.
Let x12 of type ι be given.
Let x13 of type ι be given.
Let x14 of type ι be given.
Let x15 of type ι be given.
Let x16 of type ι be given.
Let x17 of type ι be given.
Let x18 of type ι be given.
Let x19 of type ι be given.
Let x20 of type ι be given.
Let x21 of type ι be given.
Let x22 of type ι be given.
Let x23 of type ι be given.
Let x24 of type ι be given.
Let x25 of type ι be given.
Let x26 of type ι be given.
Let x27 of type ι be given.
Let x28 of type ι be given.
Let x29 of type ι be given.
Assume H0: SNo x0.
Assume H1: SNo x1.
Assume H2: SNo x2.
Assume H3: SNo x3.
Assume H4: SNo x4.
Assume H5: SNo x5.
Assume H6: SNo x6.
Assume H7: SNo x7.
Assume H8: SNo x8.
Assume H9: SNo x9.
Assume H10: SNo x10.
Assume H11: SNo x11.
Assume H12: SNo x12.
Assume H13: SNo x13.
Assume H14: SNo x14.
Assume H15: SNo x15.
Assume H16: SNo x16.
Assume H17: SNo x17.
Assume H18: SNo x18.
Assume H19: SNo x19.
Assume H20: SNo x20.
Assume H21: SNo x21.
Assume H22: SNo x22.
Assume H23: SNo x23.
Assume H24: SNo x24.
Assume H25: SNo x25.
Assume H26: SNo x26.
Assume H27: SNo x27.
Assume H28: SNo x28.
Assume H29: SNo x29.
Assume H30: SNoLt 0 (add_SNo x15 (add_SNo x16 (add_SNo x17 (add_SNo x18 (add_SNo x19 (add_SNo x20 (add_SNo x21 (add_SNo x22 (add_SNo x23 (add_SNo x24 (add_SNo x25 (add_SNo x26 (add_SNo x27 (add_SNo x28 x29)))))))))))))).
Assume H31: SNoLe x15 (add_SNo x0 (minus_SNo x1)).
Assume H32: SNoLe x16 (add_SNo x1 (minus_SNo x2)).
Assume H33: SNoLe x17 (add_SNo x2 (minus_SNo x3)).
Assume H34: SNoLe x18 (add_SNo x3 (minus_SNo x4)).
Assume H35: SNoLe x19 (add_SNo x4 (minus_SNo x5)).
Assume H36: SNoLe x20 (add_SNo x5 (minus_SNo x6)).
Assume H37: SNoLe x21 (add_SNo x6 (minus_SNo x7)).
Assume H38: SNoLe x22 (add_SNo x7 (minus_SNo x8)).
Assume H39: SNoLe x23 (add_SNo x8 (minus_SNo x9)).
Assume H40: SNoLe x24 (add_SNo x9 (minus_SNo x10)).
Assume H41: SNoLe x25 (add_SNo x10 (minus_SNo x11)).
Assume H42: SNoLe x26 (add_SNo x11 (minus_SNo x12)).
Assume H43: SNoLe x27 (add_SNo x12 (minus_SNo x13)).
Assume H44: SNoLe x28 (add_SNo x13 (minus_SNo x14)).
Assume H45: SNoLe x29 (add_SNo x14 (minus_SNo x0)).
Claim L46: ...
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Apply idl_negcycle_15 with x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, minus_SNo x15, minus_SNo x16, minus_SNo x17, minus_SNo x18, minus_SNo x19, minus_SNo x20, minus_SNo x21, minus_SNo x22, minus_SNo x23, minus_SNo x24, minus_SNo x25, minus_SNo x26, minus_SNo x27, minus_SNo x28, minus_SNo x29 leaving 46 subgoals.
The subproof is completed by applying H0.
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