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Proof step 71 from proof CSEQ-sat-rely-guar (previous step)

INDHYP-nat(n0 + 1), m ≤ n, act(m), CInv(n, act, cs), Idle(m, cs), Rely(m, cs, cs), boolvar → n0 = n1 ∧ act = act0 ∧ cs = cs0 ∧ outp = outp0 ∧ inp = inp0, act0 = (act(m; false)), outp = outp0, cs = cs0, inp = inp0, ¬ boolvar, CGuar(m, act, cs0, act(m; false), cs0), CRely(m, act(m; false), cs0, Act, CS), n0 = N + 1, CInv(n, act(m; false), cs0) → CInv(n, Act, CS) ⊦ [: Act, Inp, CS, Outp | (CRely(m, Act', CS', Act'', CS'') ∧ N = N'' + 1) , CGuar(m, Act, CS, Act', CS') , CInv(n, Act, CS) , { skip or {Act(m) := true; [PL CInv(n, Act, CS) ∧ Act(m) ∧ m ≤ n ∧ Idle(m, CS) → (CRely(m, Act', CS', Act'', CS'') ∧ (CInv(n, Act', CS') ∧ Act'(m) → CInv(n, Act'', CS'') ∧ Act''(m))) -+-> (last ⊃ CInv(n, Act, CS) ∧ Idle(m, CS) ∧ Act(m) ;CGuar(m, Act, CS, Act', CS') ∧ (CInv(n, Act, CS) ∧ Act(m) → CInv(n, Act', CS') ∧ Act'(m)) ) ]; Act(m) := false}} star ] CInv(n, Act, CS)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 72:
INDHYP-nat(2 + N), m ≤ n, act(m), CInv(n, act, cs0), Idle(m, cs0), Rely(m, cs0, cs0), CGuar(m, act, cs0, act(m; false), cs0), CRely(m, act(m; false), cs0, Act, CS), CInv(n, act(m; false), cs0) → CInv(n, Act, CS) ⊦ [: Act, Inp, CS, Outp | (CRely(m, Act', CS', Act'', CS'') ∧ N = N'' + 1) , CGuar(m, Act, CS, Act', CS') , CInv(n, Act, CS) , { skip or {Act(m) := true; [PL CInv(n, Act, CS) ∧ Act(m) ∧ m ≤ n ∧ Idle(m, CS) → (CRely(m, Act', CS', Act'', CS'') ∧ (CInv(n, Act', CS') ∧ Act'(m) → CInv(n, Act'', CS'') ∧ Act''(m))) -+-> (last ⊃ CInv(n, Act, CS) ∧ Idle(m, CS) ∧ Act(m) ;CGuar(m, Act, CS, Act', CS') ∧ (CInv(n, Act, CS) ∧ Act(m) → CInv(n, Act', CS') ∧ Act'(m)) ) ]; Act(m) := false}} star ] CInv(n, Act, CS)

Rule argument

Additional information

Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic2%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2