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Theorem step-absstep-R2-R3-ctrRead-other

ctrok(gs.fctr, gs.fwriters) ∧ writersOk(gs.bq, gs.pq, gs.fwriters) ∧ pendingOk(gs.bq, gs.pq) ∧ SFTrailing(gs.bq) ∧ readFOsOk(gs.rfo, gs.fwriters), ctrok(gs0.fctr, gs0.fwriters) ∧ writersOk(gs0.bq, gs0.pq, gs0.fwriters) ∧ pendingOk(gs0.bq, gs0.pq) ∧ SFTrailing(gs0.bq) ∧ readFOsOk(gs0.rfo, gs0.fwriters), ctrok(ags.ctr, ags.writers) ∧ writersOk(ags.p, ags.writers) ∧ pendingOk(ags.p), lsf(t) = ls, lsf0(t) = ls0, alsf(t) = als, alsf(t).t = t, lsf(t).t = t, ∀ t0. t0 ≠ t → lsf(t0).t = t0, ∀ t0. t0 ≠ t → alsf(t0).t = t0, pcf(t) = R2, pcf0(t) = R3, apcf(t) = apc, noPendingW(t, gs.bq, gs.pq) ∧ notMember(t, gs.fwriters) ∧ oneMember(t, ls.loc, gs.freaders) ∧ ¬ SF ∈ gs.bq(t) ∧ gs.rfo(t) = gs.bq(t), noPendingW(t, gs0.bq, gs0.pq) ∧ notMember(t, gs0.fwriters) ∧ oneMember(t, ls0.loc, gs0.freaders) ∧ ¬ SF ∈ gs0.bq(t) ∧ gs0.rfo(t) = gs0.bq(t), FLITPSCLInv(ags, als, apc), t ≠ t0, lsf(t0).t = t0, FLITLInv(gs, lsf(t0), pcf(t0)), FLITLInv(gs0, lsf(t0), pcf(t0)), FLITPSCLInv(ags, alsf(t0), apcf(t0)), ∀ t1. t1 ≠ t ∧ t1 ≠ t0 → FLITLInv(gs, lsf(t1), pcf(t1)) ∧ FLITPSCLInv(ags, alsf(t1), apcf(t1)) ∧ labs(gs, lsf(t1), pcf(t1), ags, alsf(t1), apcf(t1)), pre(ags, als, apc, ctrReadPSC(ls.t, loc, fctr(loc))) → ags0 = gstepf(ags, als, apc, ctrReadPSC(ls.t, loc, fctr(loc))) ∧ als0 = lstepf(ags, als, apc, ctrReadPSC(ls.t, loc, fctr(loc))) ∧ apc0 = pcstepf(ags, als, apc, ctrReadPSC(ls.t, loc, fctr(loc))), ctrok(ags0.ctr, ags0.writers) ∧ writersOk(ags0.p, ags0.writers) ∧ pendingOk(ags0.p), pre(gs, ls, R2, ctrRead(ls.t, loc, fctr(loc))) ∧ gs0 = gstepf(gs, ls, R2, ctrRead(ls.t, loc, fctr(loc))) ∧ ls0 = lstepf(gs, ls, R2, ctrRead(ls.t, loc, fctr(loc))) ∧ R3 = pcstepf(gs, ls, R2, ctrRead(ls.t, loc, fctr(loc))), ags.mem = gs.pmem ∧ ags.ctr = gs.fctr ∧ reorder(ags.p, gs.pq, gs.rfo) ∧ ags.writers = gs.fwriters, ls.t = als.t ∧ apc = R2 ∧ ls.loc = als.l ∧ ls.val = als.v, lsf(t0).t = alsf(t0).t ∧ (pcf(t0) = idle → apcf(t0) = idle) ∧ (pcf(t0) = ready → apcf(t0) = ready) ∧ (pcf(t0) = crashed → apcf(t0) = crashed) ∧ (pcf(t0) = R1 → apcf(t0) = R1) ∧ (pcf(t0) = R2 → apcf(t0) = R2) ∧ (pcf(t0) = R3 → apcf(t0) = R3) ∧ (pcf(t0) = R4 → apcf(t0) = R4) ∧ (pcf(t0) = R1 ∨ pcf(t0) = R2 ∨ pcf(t0) = R3 ∨ pcf(t0) = R4 → lsf(t0).loc = alsf(t0).l) ∧ (pcf(t0) = R2 ∨ pcf(t0) = R3 ∨ pcf(t0) = R4 → lsf(t0).val = alsf(t0).v) ∧ (pcf(t0) = W1 → apcf(t0) = W1) ∧ (pcf(t0) = W2 → apcf(t0) = (SF ∈ gs.bq(lsf(t0).t) ⊃ W1;W2)) ∧ (pcf(t0) = W3 → apcf(t0) = W3) ∧ (pcf(t0) = W4 → apcf(t0) = (W(lsf(t0).loc, lsf(t0).val) ∈ gs.bq(lsf(t0).t) ⊃ W3;W4)) ∧ (pcf(t0) = W5 → apcf(t0) = (W(lsf(t0).loc, lsf(t0).val) ∈ gs.bq(lsf(t0).t) ⊃ W3;(FO(lsf(t0).loc) ∈ gs.bq(lsf(t0).t) ⊃ W4;W5))) ∧ ( pcf(t0) = W6 → apcf(t0) = (W(lsf(t0).loc, lsf(t0).val) ∈ gs.bq(lsf(t0).t) ⊃ W3;(FO(lsf(t0).loc) ∈ gs.bq(lsf(t0).t) ⊃ W4;(SF ∈ gs.bq(lsf(t0).t) ⊃ W5;W6)))) ∧ (pcf(t0) = W7 → apcf(t0) = W7) ∧ (pcf(t0) = W1 ∨ pcf(t0) = W2 ∨ pcf(t0) = W3 ∨ pcf(t0) = W4 ∨ pcf(t0) = W5 ∨ pcf(t0) = W6 ∨ pcf(t0) = W7 → lsf(t0).loc = alsf(t0).l) ∧ (pcf(t0) = W1 ∨ pcf(t0) = W2 ∨ pcf(t0) = W3 ∨ pcf(t0) = W4 ∨ pcf(t0) = W5 ∨ pcf(t0) = W6 ∨ pcf(t0) = W7 → lsf(t0).val = alsf(t0).v) ⊦ lsf(t0).t = alsf(t0).t ∧ (pcf(t0) = idle → apcf(t0) = idle) ∧ (pcf(t0) = ready → apcf(t0) = ready) ∧ (pcf(t0) = crashed → apcf(t0) = crashed) ∧ (pcf(t0) = R1 → apcf(t0) = R1) ∧ (pcf(t0) = R2 → apcf(t0) = R2) ∧ (pcf(t0) = R3 → apcf(t0) = R3) ∧ (pcf(t0) = R4 → apcf(t0) = R4) ∧ (pcf(t0) = R1 ∨ pcf(t0) = R2 ∨ pcf(t0) = R3 ∨ pcf(t0) = R4 → lsf(t0).loc = alsf(t0).l) ∧ (pcf(t0) = R2 ∨ pcf(t0) = R3 ∨ pcf(t0) = R4 → lsf(t0).val = alsf(t0).v) ∧ (pcf(t0) = W1 → apcf(t0) = W1) ∧ (pcf(t0) = W2 → apcf(t0) = (SF ∈ gs0.bq(lsf(t0).t) ⊃ W1;W2)) ∧ (pcf(t0) = W3 → apcf(t0) = W3) ∧ (pcf(t0) = W4 → apcf(t0) = (W(lsf(t0).loc, lsf(t0).val) ∈ gs0.bq(lsf(t0).t) ⊃ W3;W4)) ∧ (pcf(t0) = W5 → apcf(t0) = (W(lsf(t0).loc, lsf(t0).val) ∈ gs0.bq(lsf(t0).t) ⊃ W3;(FO(lsf(t0).loc) ∈ gs0.bq(lsf(t0).t) ⊃ W4;W5))) ∧ ( pcf(t0) = W6 → apcf(t0) = (W(lsf(t0).loc, lsf(t0).val) ∈ gs0.bq(lsf(t0).t) ⊃ W3;(FO(lsf(t0).loc) ∈ gs0.bq(lsf(t0).t) ⊃ W4;(SF ∈ gs0.bq(lsf(t0).t) ⊃ W5;W6)))) ∧ (pcf(t0) = W7 → apcf(t0) = W7) ∧ (pcf(t0) = W1 ∨ pcf(t0) = W2 ∨ pcf(t0) = W3 ∨ pcf(t0) = W4 ∨ pcf(t0) = W5 ∨ pcf(t0) = W6 ∨ pcf(t0) = W7 → lsf(t0).loc = alsf(t0).l) ∧ (pcf(t0) = W1 ∨ pcf(t0) = W2 ∨ pcf(t0) = W3 ∨ pcf(t0) = W4 ∨ pcf(t0) = W5 ∨ pcf(t0) = W6 ∨ pcf(t0) = W7 → lsf(t0).val = alsf(t0).v)

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